Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(349,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.349");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.d (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.214798336.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} - 2x^{5} + 9x^{4} - 4x^{3} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 349.7 | ||
Root | \(-1.08003 - 0.912978i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.349 |
Dual form | 600.2.d.h.349.8 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41298 | − | 0.0591148i | 0.999126 | − | 0.0418005i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.99301 | − | 0.167056i | 0.996505 | − | 0.0835279i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.41298 | − | 0.0591148i | 0.576846 | − | 0.0241335i | ||||
\(7\) | − | 1.33411i | − | 0.504247i | −0.967695 | − | 0.252123i | \(-0.918871\pi\) | ||
0.967695 | − | 0.252123i | \(-0.0811289\pi\) | |||||||
\(8\) | 2.80620 | − | 0.353863i | 0.992143 | − | 0.125109i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 2.94418i | − | 0.887705i | −0.896100 | − | 0.443853i | \(-0.853611\pi\) | ||
0.896100 | − | 0.443853i | \(-0.146389\pi\) | |||||||
\(12\) | 1.99301 | − | 0.167056i | 0.575333 | − | 0.0482249i | ||||
\(13\) | −2.04184 | −0.566304 | −0.283152 | − | 0.959075i | \(-0.591380\pi\) | ||||
−0.283152 | + | 0.959075i | \(0.591380\pi\) | |||||||
\(14\) | −0.0788658 | − | 1.88507i | −0.0210778 | − | 0.503806i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.94418 | − | 0.665888i | 0.986046 | − | 0.166472i | ||||
\(17\) | − | 3.61241i | − | 0.876138i | −0.898941 | − | 0.438069i | \(-0.855663\pi\) | ||
0.898941 | − | 0.438069i | \(-0.144337\pi\) | |||||||
\(18\) | 1.41298 | − | 0.0591148i | 0.333042 | − | 0.0139335i | ||||
\(19\) | 5.35964i | 1.22958i | 0.788689 | + | 0.614792i | \(0.210760\pi\) | ||||
−0.788689 | + | 0.614792i | \(0.789240\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 1.33411i | − | 0.291127i | ||||||
\(22\) | −0.174045 | − | 4.16007i | −0.0371065 | − | 0.886929i | ||||
\(23\) | 8.59609i | 1.79241i | 0.443641 | + | 0.896205i | \(0.353687\pi\) | ||||
−0.443641 | + | 0.896205i | \(0.646313\pi\) | |||||||
\(24\) | 2.80620 | − | 0.353863i | 0.572814 | − | 0.0722319i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.88507 | + | 0.120703i | −0.565809 | + | 0.0236718i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −0.222871 | − | 2.65890i | −0.0421187 | − | 0.502485i | ||||
\(29\) | 5.26432i | 0.977559i | 0.872407 | + | 0.488780i | \(0.162558\pi\) | ||||
−0.872407 | + | 0.488780i | \(0.837442\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.08134 | −0.373820 | −0.186910 | − | 0.982377i | \(-0.559847\pi\) | ||||
−0.186910 | + | 0.982377i | \(0.559847\pi\) | |||||||
\(32\) | 5.53368 | − | 1.17404i | 0.978226 | − | 0.207544i | ||||
\(33\) | − | 2.94418i | − | 0.512517i | ||||||
\(34\) | −0.213547 | − | 5.10425i | −0.0366230 | − | 0.875372i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.99301 | − | 0.167056i | 0.332168 | − | 0.0278426i | ||||
\(37\) | −6.55659 | −1.07790 | −0.538949 | − | 0.842339i | \(-0.681178\pi\) | ||||
−0.538949 | + | 0.842339i | \(0.681178\pi\) | |||||||
\(38\) | 0.316834 | + | 7.57304i | 0.0513973 | + | 1.22851i | ||||
\(39\) | −2.04184 | −0.326956 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.02786 | 1.09757 | 0.548784 | − | 0.835964i | \(-0.315091\pi\) | ||||
0.548784 | + | 0.835964i | \(0.315091\pi\) | |||||||
\(42\) | −0.0788658 | − | 1.88507i | −0.0121693 | − | 0.290873i | ||||
\(43\) | −8.50078 | −1.29636 | −0.648178 | − | 0.761489i | \(-0.724469\pi\) | ||||
−0.648178 | + | 0.761489i | \(0.724469\pi\) | |||||||
\(44\) | −0.491843 | − | 5.86779i | −0.0741482 | − | 0.884603i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.508157 | + | 12.1461i | 0.0749236 | + | 1.79084i | ||||
\(47\) | − | 9.97204i | − | 1.45457i | −0.686334 | − | 0.727286i | \(-0.740781\pi\) | ||
0.686334 | − | 0.727286i | \(-0.259219\pi\) | |||||||
\(48\) | 3.94418 | − | 0.665888i | 0.569294 | − | 0.0961127i | ||||
\(49\) | 5.22015 | 0.745735 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 3.61241i | − | 0.505838i | ||||||
\(52\) | −4.06940 | + | 0.341101i | −0.564325 | + | 0.0473022i | ||||
\(53\) | −6.12318 | −0.841083 | −0.420541 | − | 0.907273i | \(-0.638160\pi\) | ||||
−0.420541 | + | 0.907273i | \(0.638160\pi\) | |||||||
\(54\) | 1.41298 | − | 0.0591148i | 0.192282 | − | 0.00804451i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.472092 | − | 3.74379i | −0.0630860 | − | 0.500285i | ||||
\(57\) | 5.35964i | 0.709901i | ||||||||
\(58\) | 0.311199 | + | 7.43836i | 0.0408625 | + | 0.976705i | ||||
\(59\) | 4.75190i | 0.618644i | 0.950957 | + | 0.309322i | \(0.100102\pi\) | ||||
−0.950957 | + | 0.309322i | \(0.899898\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.51476i | 1.09020i | 0.838370 | + | 0.545101i | \(0.183509\pi\) | ||||
−0.838370 | + | 0.545101i | \(0.816491\pi\) | |||||||
\(62\) | −2.94089 | + | 0.123038i | −0.373493 | + | 0.0156258i | ||||
\(63\) | − | 1.33411i | − | 0.168082i | ||||||
\(64\) | 7.74956 | − | 1.98602i | 0.968695 | − | 0.248253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.174045 | − | 4.16007i | −0.0214235 | − | 0.512069i | ||||
\(67\) | −10.6961 | −1.30673 | −0.653367 | − | 0.757041i | \(-0.726644\pi\) | ||||
−0.653367 | + | 0.757041i | \(0.726644\pi\) | |||||||
\(68\) | −0.603474 | − | 7.19957i | −0.0731820 | − | 0.873076i | ||||
\(69\) | 8.59609i | 1.03485i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.62405 | −0.311418 | −0.155709 | − | 0.987803i | \(-0.549766\pi\) | ||||
−0.155709 | + | 0.987803i | \(0.549766\pi\) | |||||||
\(72\) | 2.80620 | − | 0.353863i | 0.330714 | − | 0.0417031i | ||||
\(73\) | − | 15.3875i | − | 1.80097i | −0.434887 | − | 0.900485i | \(-0.643212\pi\) | ||
0.434887 | − | 0.900485i | \(-0.356788\pi\) | |||||||
\(74\) | −9.26432 | + | 0.387592i | −1.07696 | + | 0.0450566i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.895358 | + | 10.6818i | 0.102705 | + | 1.22529i | ||||
\(77\) | −3.92787 | −0.447622 | ||||||||
\(78\) | −2.88507 | + | 0.120703i | −0.326670 | + | 0.0136669i | ||||
\(79\) | −10.4450 | −1.17515 | −0.587575 | − | 0.809170i | \(-0.699917\pi\) | ||||
−0.587575 | + | 0.809170i | \(0.699917\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 9.93021 | − | 0.415451i | 1.09661 | − | 0.0458789i | ||||
\(83\) | 1.52708 | 0.167619 | 0.0838095 | − | 0.996482i | \(-0.473291\pi\) | ||||
0.0838095 | + | 0.996482i | \(0.473291\pi\) | |||||||
\(84\) | −0.222871 | − | 2.65890i | −0.0243172 | − | 0.290110i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.0114 | + | 0.502522i | −1.29522 | + | 0.0541883i | ||||
\(87\) | 5.26432i | 0.564394i | ||||||||
\(88\) | −1.04184 | − | 8.26198i | −0.111060 | − | 0.880730i | ||||
\(89\) | 12.7193 | 1.34824 | 0.674120 | − | 0.738622i | \(-0.264523\pi\) | ||||
0.674120 | + | 0.738622i | \(0.264523\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.72404i | 0.285557i | ||||||||
\(92\) | 1.43603 | + | 17.1321i | 0.149716 | + | 1.78615i | ||||
\(93\) | −2.08134 | −0.215825 | ||||||||
\(94\) | −0.589496 | − | 14.0903i | −0.0608018 | − | 1.45330i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 5.53368 | − | 1.17404i | 0.564779 | − | 0.119825i | ||||
\(97\) | 13.4450i | 1.36513i | 0.730825 | + | 0.682565i | \(0.239135\pi\) | ||||
−0.730825 | + | 0.682565i | \(0.760865\pi\) | |||||||
\(98\) | 7.37595 | − | 0.308588i | 0.745083 | − | 0.0311721i | ||||
\(99\) | − | 2.94418i | − | 0.295902i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 10.1232i | − | 1.00729i | −0.863910 | − | 0.503647i | \(-0.831991\pi\) | ||
0.863910 | − | 0.503647i | \(-0.168009\pi\) | |||||||
\(102\) | −0.213547 | − | 5.10425i | −0.0211443 | − | 0.505396i | ||||
\(103\) | 10.7472i | 1.05896i | 0.848324 | + | 0.529478i | \(0.177612\pi\) | ||||
−0.848324 | + | 0.529478i | \(0.822388\pi\) | |||||||
\(104\) | −5.72981 | + | 0.722530i | −0.561854 | + | 0.0708499i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.65191 | + | 0.361971i | −0.840348 | + | 0.0351577i | ||||
\(107\) | 4.86518 | 0.470335 | 0.235167 | − | 0.971955i | \(-0.424436\pi\) | ||||
0.235167 | + | 0.971955i | \(0.424436\pi\) | |||||||
\(108\) | 1.99301 | − | 0.167056i | 0.191778 | − | 0.0160750i | ||||
\(109\) | − | 15.4573i | − | 1.48054i | −0.672310 | − | 0.740270i | \(-0.734698\pi\) | ||
0.672310 | − | 0.740270i | \(-0.265302\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.55659 | −0.622324 | ||||||||
\(112\) | −0.888369 | − | 5.26198i | −0.0839430 | − | 0.497211i | ||||
\(113\) | − | 9.88837i | − | 0.930220i | −0.885253 | − | 0.465110i | \(-0.846015\pi\) | ||
0.885253 | − | 0.465110i | \(-0.153985\pi\) | |||||||
\(114\) | 0.316834 | + | 7.57304i | 0.0296742 | + | 0.709281i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.879435 | + | 10.4918i | 0.0816535 | + | 0.974143i | ||||
\(117\) | −2.04184 | −0.188768 | ||||||||
\(118\) | 0.280908 | + | 6.71432i | 0.0258596 | + | 0.618104i | ||||
\(119\) | −4.81936 | −0.441790 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.33178 | 0.211980 | ||||||||
\(122\) | 0.503348 | + | 12.0312i | 0.0455710 | + | 1.08925i | ||||
\(123\) | 7.02786 | 0.633681 | ||||||||
\(124\) | −4.14813 | + | 0.347700i | −0.372513 | + | 0.0312244i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.0788658 | − | 1.88507i | −0.00702592 | − | 0.167935i | ||||
\(127\) | 8.75190i | 0.776605i | 0.921532 | + | 0.388303i | \(0.126938\pi\) | ||||
−0.921532 | + | 0.388303i | \(0.873062\pi\) | |||||||
\(128\) | 10.8326 | − | 3.26432i | 0.957472 | − | 0.288528i | ||||
\(129\) | −8.50078 | −0.748452 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.471266i | 0.0411747i | 0.999788 | + | 0.0205874i | \(0.00655362\pi\) | ||||
−0.999788 | + | 0.0205874i | \(0.993446\pi\) | |||||||
\(132\) | −0.491843 | − | 5.86779i | −0.0428095 | − | 0.510726i | ||||
\(133\) | 7.15035 | 0.620014 | ||||||||
\(134\) | −15.1133 | + | 0.632297i | −1.30559 | + | 0.0546222i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.27830 | − | 10.1372i | −0.109613 | − | 0.869254i | ||||
\(137\) | − | 1.30382i | − | 0.111393i | −0.998448 | − | 0.0556964i | \(-0.982262\pi\) | ||
0.998448 | − | 0.0556964i | \(-0.0177379\pi\) | |||||||
\(138\) | 0.508157 | + | 12.1461i | 0.0432572 | + | 1.03394i | ||||
\(139\) | 8.74723i | 0.741930i | 0.928647 | + | 0.370965i | \(0.120973\pi\) | ||||
−0.928647 | + | 0.370965i | \(0.879027\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 9.97204i | − | 0.839798i | ||||||
\(142\) | −3.70773 | + | 0.155120i | −0.311145 | + | 0.0130174i | ||||
\(143\) | 6.01155i | 0.502711i | ||||||||
\(144\) | 3.94418 | − | 0.665888i | 0.328682 | − | 0.0554907i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.909629 | − | 21.7422i | −0.0752814 | − | 1.79940i | ||||
\(147\) | 5.22015 | 0.430550 | ||||||||
\(148\) | −13.0674 | + | 1.09532i | −1.07413 | + | 0.0900345i | ||||
\(149\) | 15.1411i | 1.24041i | 0.784439 | + | 0.620205i | \(0.212951\pi\) | ||||
−0.784439 | + | 0.620205i | \(0.787049\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −23.2782 | −1.89435 | −0.947176 | − | 0.320713i | \(-0.896078\pi\) | ||||
−0.947176 | + | 0.320713i | \(0.896078\pi\) | |||||||
\(152\) | 1.89657 | + | 15.0402i | 0.153833 | + | 1.21992i | ||||
\(153\) | − | 3.61241i | − | 0.292046i | ||||||
\(154\) | −5.54999 | + | 0.232195i | −0.447231 | + | 0.0187108i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.06940 | + | 0.341101i | −0.325813 | + | 0.0273099i | ||||
\(157\) | 21.8976 | 1.74762 | 0.873809 | − | 0.486270i | \(-0.161643\pi\) | ||||
0.873809 | + | 0.486270i | \(0.161643\pi\) | |||||||
\(158\) | −14.7585 | + | 0.617452i | −1.17412 | + | 0.0491219i | ||||
\(159\) | −6.12318 | −0.485599 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.4682 | 0.903817 | ||||||||
\(162\) | 1.41298 | − | 0.0591148i | 0.111014 | − | 0.00464450i | ||||
\(163\) | −11.1643 | −0.874458 | −0.437229 | − | 0.899350i | \(-0.644040\pi\) | ||||
−0.437229 | + | 0.899350i | \(0.644040\pi\) | |||||||
\(164\) | 14.0066 | − | 1.17404i | 1.09373 | − | 0.0916775i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.15773 | − | 0.0902732i | 0.167472 | − | 0.00700656i | ||||
\(167\) | − | 10.0952i | − | 0.781192i | −0.920562 | − | 0.390596i | \(-0.872269\pi\) | ||
0.920562 | − | 0.390596i | \(-0.127731\pi\) | |||||||
\(168\) | −0.472092 | − | 3.74379i | −0.0364227 | − | 0.288840i | ||||
\(169\) | −8.83090 | −0.679300 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.35964i | 0.409862i | ||||||||
\(172\) | −16.9421 | + | 1.42010i | −1.29183 | + | 0.108282i | ||||
\(173\) | 13.8162 | 1.05043 | 0.525215 | − | 0.850970i | \(-0.323985\pi\) | ||||
0.525215 | + | 0.850970i | \(0.323985\pi\) | |||||||
\(174\) | 0.311199 | + | 7.43836i | 0.0235920 | + | 0.563901i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.96050 | − | 11.6124i | −0.147778 | − | 0.875318i | ||||
\(177\) | 4.75190i | 0.357174i | ||||||||
\(178\) | 17.9720 | − | 0.751898i | 1.34706 | − | 0.0563571i | ||||
\(179\) | − | 21.9441i | − | 1.64018i | −0.572236 | − | 0.820089i | \(-0.693924\pi\) | ||
0.572236 | − | 0.820089i | \(-0.306076\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.93021i | 0.143471i | 0.997424 | + | 0.0717356i | \(0.0228538\pi\) | ||||
−0.997424 | + | 0.0717356i | \(0.977146\pi\) | |||||||
\(182\) | 0.161031 | + | 3.84901i | 0.0119364 | + | 0.285307i | ||||
\(183\) | 8.51476i | 0.629429i | ||||||||
\(184\) | 3.04184 | + | 24.1224i | 0.224247 | + | 1.77833i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.94089 | + | 0.123038i | −0.215636 | + | 0.00902158i | ||||
\(187\) | −10.6356 | −0.777752 | ||||||||
\(188\) | −1.66589 | − | 19.8744i | −0.121497 | − | 1.44949i | ||||
\(189\) | − | 1.33411i | − | 0.0970423i | ||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.1232 | 0.877202 | 0.438601 | − | 0.898682i | \(-0.355474\pi\) | ||||
0.438601 | + | 0.898682i | \(0.355474\pi\) | |||||||
\(192\) | 7.74956 | − | 1.98602i | 0.559276 | − | 0.143329i | ||||
\(193\) | − | 1.27431i | − | 0.0917267i | −0.998948 | − | 0.0458634i | \(-0.985396\pi\) | ||
0.998948 | − | 0.0458634i | \(-0.0146039\pi\) | |||||||
\(194\) | 0.794797 | + | 18.9974i | 0.0570631 | + | 1.36394i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.4038 | − | 0.872056i | 0.743129 | − | 0.0622897i | ||||
\(197\) | 3.30849 | 0.235720 | 0.117860 | − | 0.993030i | \(-0.462397\pi\) | ||||
0.117860 | + | 0.993030i | \(0.462397\pi\) | |||||||
\(198\) | −0.174045 | − | 4.16007i | −0.0123688 | − | 0.295643i | ||||
\(199\) | −9.02718 | −0.639920 | −0.319960 | − | 0.947431i | \(-0.603669\pi\) | ||||
−0.319960 | + | 0.947431i | \(0.603669\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.6961 | −0.754443 | ||||||||
\(202\) | −0.598430 | − | 14.3038i | −0.0421054 | − | 1.00641i | ||||
\(203\) | 7.02319 | 0.492931 | ||||||||
\(204\) | −0.603474 | − | 7.19957i | −0.0422516 | − | 0.504071i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.635321 | + | 15.1856i | 0.0442649 | + | 1.05803i | ||||
\(207\) | 8.59609i | 0.597470i | ||||||||
\(208\) | −8.05338 | + | 1.35964i | −0.558402 | + | 0.0942738i | ||||
\(209\) | 15.7798 | 1.09151 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 6.61241i | − | 0.455217i | −0.973753 | − | 0.227608i | \(-0.926909\pi\) | ||
0.973753 | − | 0.227608i | \(-0.0730906\pi\) | |||||||
\(212\) | −12.2036 | + | 1.02291i | −0.838144 | + | 0.0702539i | ||||
\(213\) | −2.62405 | −0.179797 | ||||||||
\(214\) | 6.87439 | − | 0.287604i | 0.469924 | − | 0.0196602i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.80620 | − | 0.353863i | 0.190938 | − | 0.0240773i | ||||
\(217\) | 2.77674i | 0.188497i | ||||||||
\(218\) | −0.913755 | − | 21.8408i | −0.0618873 | − | 1.47925i | ||||
\(219\) | − | 15.3875i | − | 1.03979i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.37595i | 0.496160i | ||||||||
\(222\) | −9.26432 | + | 0.387592i | −0.621780 | + | 0.0260135i | ||||
\(223\) | 0.833237i | 0.0557976i | 0.999611 | + | 0.0278988i | \(0.00888162\pi\) | ||||
−0.999611 | + | 0.0278988i | \(0.991118\pi\) | |||||||
\(224\) | −1.56631 | − | 7.38255i | −0.104653 | − | 0.493267i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.584549 | − | 13.9720i | −0.0388836 | − | 0.929407i | ||||
\(227\) | 10.9999 | 0.730089 | 0.365045 | − | 0.930990i | \(-0.381054\pi\) | ||||
0.365045 | + | 0.930990i | \(0.381054\pi\) | |||||||
\(228\) | 0.895358 | + | 10.6818i | 0.0592966 | + | 0.707420i | ||||
\(229\) | − | 15.2061i | − | 1.00485i | −0.864622 | − | 0.502423i | \(-0.832442\pi\) | ||
0.864622 | − | 0.502423i | \(-0.167558\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.92787 | −0.258435 | ||||||||
\(232\) | 1.86285 | + | 14.7728i | 0.122302 | + | 0.969879i | ||||
\(233\) | 2.47594i | 0.162204i | 0.996706 | + | 0.0811020i | \(0.0258439\pi\) | ||||
−0.996706 | + | 0.0811020i | \(0.974156\pi\) | |||||||
\(234\) | −2.88507 | + | 0.120703i | −0.188603 | + | 0.00789059i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.793832 | + | 9.47058i | 0.0516741 | + | 0.616482i | ||||
\(237\) | −10.4450 | −0.678473 | ||||||||
\(238\) | −6.80964 | + | 0.284895i | −0.441404 | + | 0.0184670i | ||||
\(239\) | 21.0737 | 1.36314 | 0.681572 | − | 0.731751i | \(-0.261297\pi\) | ||||
0.681572 | + | 0.731751i | \(0.261297\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.10852 | −0.393484 | −0.196742 | − | 0.980455i | \(-0.563036\pi\) | ||||
−0.196742 | + | 0.980455i | \(0.563036\pi\) | |||||||
\(242\) | 3.29475 | − | 0.137843i | 0.211794 | − | 0.00886086i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 1.42244 | + | 16.9700i | 0.0910624 | + | 1.08639i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.93021 | − | 0.415451i | 0.633127 | − | 0.0264882i | ||||
\(247\) | − | 10.9435i | − | 0.696318i | ||||||
\(248\) | −5.84066 | + | 0.736508i | −0.370882 | + | 0.0467683i | ||||
\(249\) | 1.52708 | 0.0967748 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 22.5286i | 1.42199i | 0.703195 | + | 0.710997i | \(0.251756\pi\) | ||||
−0.703195 | + | 0.710997i | \(0.748244\pi\) | |||||||
\(252\) | −0.222871 | − | 2.65890i | −0.0140396 | − | 0.167495i | ||||
\(253\) | 25.3085 | 1.59113 | ||||||||
\(254\) | 0.517367 | + | 12.3662i | 0.0324625 | + | 0.775927i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.1132 | − | 5.25277i | 0.944574 | − | 0.328298i | ||||
\(257\) | − | 14.5286i | − | 0.906271i | −0.891442 | − | 0.453136i | \(-0.850305\pi\) | ||
0.891442 | − | 0.453136i | \(-0.149695\pi\) | |||||||
\(258\) | −12.0114 | + | 0.502522i | −0.747798 | + | 0.0312857i | ||||
\(259\) | 8.74723i | 0.543526i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.26432i | 0.325853i | ||||||||
\(262\) | 0.0278588 | + | 0.665888i | 0.00172112 | + | 0.0411387i | ||||
\(263\) | 5.29694i | 0.326624i | 0.986575 | + | 0.163312i | \(0.0522177\pi\) | ||||
−0.986575 | + | 0.163312i | \(0.947782\pi\) | |||||||
\(264\) | −1.04184 | − | 8.26198i | −0.0641206 | − | 0.508490i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 10.1033 | − | 0.422692i | 0.619472 | − | 0.0259169i | ||||
\(267\) | 12.7193 | 0.778407 | ||||||||
\(268\) | −21.3174 | + | 1.78684i | −1.30217 | + | 0.109149i | ||||
\(269\) | − | 27.0737i | − | 1.65071i | −0.564613 | − | 0.825356i | \(-0.690975\pi\) | ||
0.564613 | − | 0.825356i | \(-0.309025\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.8604 | 0.963451 | 0.481726 | − | 0.876322i | \(-0.340010\pi\) | ||||
0.481726 | + | 0.876322i | \(0.340010\pi\) | |||||||
\(272\) | −2.40546 | − | 14.2480i | −0.145852 | − | 0.863912i | ||||
\(273\) | 2.72404i | 0.164866i | ||||||||
\(274\) | −0.0770751 | − | 1.84227i | −0.00465628 | − | 0.111296i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.43603 | + | 17.1321i | 0.0864387 | + | 1.03123i | ||||
\(277\) | 9.98592 | 0.599996 | 0.299998 | − | 0.953940i | \(-0.403014\pi\) | ||||
0.299998 | + | 0.953940i | \(0.403014\pi\) | |||||||
\(278\) | 0.517091 | + | 12.3596i | 0.0310130 | + | 0.741282i | ||||
\(279\) | −2.08134 | −0.124607 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.4218 | 0.800676 | 0.400338 | − | 0.916368i | \(-0.368893\pi\) | ||||
0.400338 | + | 0.916368i | \(0.368893\pi\) | |||||||
\(282\) | −0.589496 | − | 14.0903i | −0.0351040 | − | 0.839064i | ||||
\(283\) | 3.83722 | 0.228099 | 0.114050 | − | 0.993475i | \(-0.463618\pi\) | ||||
0.114050 | + | 0.993475i | \(0.463618\pi\) | |||||||
\(284\) | −5.22976 | + | 0.438363i | −0.310329 | + | 0.0260121i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.355372 | + | 8.49418i | 0.0210136 | + | 0.502271i | ||||
\(287\) | − | 9.37595i | − | 0.553445i | ||||||
\(288\) | 5.53368 | − | 1.17404i | 0.326075 | − | 0.0691813i | ||||
\(289\) | 3.95051 | 0.232383 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.4450i | 0.788158i | ||||||||
\(292\) | −2.57057 | − | 30.6674i | −0.150431 | − | 1.79468i | ||||
\(293\) | −26.4450 | −1.54493 | −0.772466 | − | 0.635057i | \(-0.780977\pi\) | ||||
−0.772466 | + | 0.635057i | \(0.780977\pi\) | |||||||
\(294\) | 7.37595 | − | 0.308588i | 0.430174 | − | 0.0179972i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −18.3991 | + | 2.32013i | −1.06943 | + | 0.134855i | ||||
\(297\) | − | 2.94418i | − | 0.170839i | ||||||
\(298\) | 0.895066 | + | 21.3941i | 0.0518498 | + | 1.23933i | ||||
\(299\) | − | 17.5518i | − | 1.01505i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.3410i | 0.653684i | ||||||||
\(302\) | −32.8916 | + | 1.37609i | −1.89270 | + | 0.0791849i | ||||
\(303\) | − | 10.1232i | − | 0.581561i | ||||||
\(304\) | 3.56892 | + | 21.1394i | 0.204692 | + | 1.21243i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.213547 | − | 5.10425i | −0.0122077 | − | 0.291791i | ||||
\(307\) | −1.27596 | −0.0728230 | −0.0364115 | − | 0.999337i | \(-0.511593\pi\) | ||||
−0.0364115 | + | 0.999337i | \(0.511593\pi\) | |||||||
\(308\) | −7.82829 | + | 0.656174i | −0.446058 | + | 0.0373890i | ||||
\(309\) | 10.7472i | 0.611388i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.44496 | 0.138641 | 0.0693205 | − | 0.997594i | \(-0.477917\pi\) | ||||
0.0693205 | + | 0.997594i | \(0.477917\pi\) | |||||||
\(312\) | −5.72981 | + | 0.722530i | −0.324387 | + | 0.0409052i | ||||
\(313\) | 22.8325i | 1.29057i | 0.763943 | + | 0.645283i | \(0.223261\pi\) | ||||
−0.763943 | + | 0.645283i | \(0.776739\pi\) | |||||||
\(314\) | 30.9408 | − | 1.29447i | 1.74609 | − | 0.0730513i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −20.8169 | + | 1.74489i | −1.17104 | + | 0.0981579i | ||||
\(317\) | 2.11163 | 0.118601 | 0.0593005 | − | 0.998240i | \(-0.481113\pi\) | ||||
0.0593005 | + | 0.998240i | \(0.481113\pi\) | |||||||
\(318\) | −8.65191 | + | 0.361971i | −0.485175 | + | 0.0202983i | ||||
\(319\) | 15.4991 | 0.867784 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.86518 | 0.271548 | ||||||||
\(322\) | 16.2042 | − | 0.677938i | 0.903027 | − | 0.0377800i | ||||
\(323\) | 19.3612 | 1.07729 | ||||||||
\(324\) | 1.99301 | − | 0.167056i | 0.110723 | − | 0.00928088i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −15.7749 | + | 0.659978i | −0.873694 | + | 0.0365528i | ||||
\(327\) | − | 15.4573i | − | 0.854790i | ||||||
\(328\) | 19.7216 | − | 2.48690i | 1.08894 | − | 0.137316i | ||||
\(329\) | −13.3038 | −0.733463 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 23.2248i | − | 1.27655i | −0.769808 | − | 0.638276i | \(-0.779648\pi\) | ||
0.769808 | − | 0.638276i | \(-0.220352\pi\) | |||||||
\(332\) | 3.04349 | − | 0.255108i | 0.167033 | − | 0.0140009i | ||||
\(333\) | −6.55659 | −0.359299 | ||||||||
\(334\) | −0.596777 | − | 14.2643i | −0.0326542 | − | 0.780509i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.888369 | − | 5.26198i | −0.0484645 | − | 0.287065i | ||||
\(337\) | − | 12.8884i | − | 0.702074i | −0.936362 | − | 0.351037i | \(-0.885829\pi\) | ||
0.936362 | − | 0.351037i | \(-0.114171\pi\) | |||||||
\(338\) | −12.4779 | + | 0.522037i | −0.678706 | + | 0.0283951i | ||||
\(339\) | − | 9.88837i | − | 0.537063i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.12785i | 0.331841i | ||||||||
\(342\) | 0.316834 | + | 7.57304i | 0.0171324 | + | 0.409503i | ||||
\(343\) | − | 16.3030i | − | 0.880281i | ||||||
\(344\) | −23.8549 | + | 3.00811i | −1.28617 | + | 0.162186i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.5220 | − | 0.816745i | 1.04951 | − | 0.0439085i | ||||
\(347\) | 6.79827 | 0.364951 | 0.182475 | − | 0.983210i | \(-0.441589\pi\) | ||||
0.182475 | + | 0.983210i | \(0.441589\pi\) | |||||||
\(348\) | 0.879435 | + | 10.4918i | 0.0471427 | + | 0.562422i | ||||
\(349\) | − | 34.6076i | − | 1.85250i | −0.376904 | − | 0.926252i | \(-0.623011\pi\) | ||
0.376904 | − | 0.926252i | \(-0.376989\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.04184 | −0.108985 | ||||||||
\(352\) | −3.45661 | − | 16.2922i | −0.184238 | − | 0.868376i | ||||
\(353\) | 12.2433i | 0.651647i | 0.945431 | + | 0.325823i | \(0.105642\pi\) | ||||
−0.945431 | + | 0.325823i | \(0.894358\pi\) | |||||||
\(354\) | 0.280908 | + | 6.71432i | 0.0149301 | + | 0.356862i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 25.3496 | − | 2.12483i | 1.34353 | − | 0.112616i | ||||
\(357\) | −4.81936 | −0.255067 | ||||||||
\(358\) | −1.29722 | − | 31.0065i | −0.0685603 | − | 1.63874i | ||||
\(359\) | 2.01622 | 0.106412 | 0.0532059 | − | 0.998584i | \(-0.483056\pi\) | ||||
0.0532059 | + | 0.998584i | \(0.483056\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.72569 | −0.511878 | ||||||||
\(362\) | 0.114104 | + | 2.72734i | 0.00599716 | + | 0.143346i | ||||
\(363\) | 2.33178 | 0.122387 | ||||||||
\(364\) | 0.455067 | + | 5.42904i | 0.0238520 | + | 0.284559i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.503348 | + | 12.0312i | 0.0263104 | + | 0.628879i | ||||
\(367\) | 13.4131i | 0.700159i | 0.936720 | + | 0.350079i | \(0.113845\pi\) | ||||
−0.936720 | + | 0.350079i | \(0.886155\pi\) | |||||||
\(368\) | 5.72404 | + | 33.9046i | 0.298386 | + | 1.76740i | ||||
\(369\) | 7.02786 | 0.365856 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.16900i | 0.424113i | ||||||||
\(372\) | −4.14813 | + | 0.347700i | −0.215071 | + | 0.0180274i | ||||
\(373\) | 10.0976 | 0.522832 | 0.261416 | − | 0.965226i | \(-0.415811\pi\) | ||||
0.261416 | + | 0.965226i | \(0.415811\pi\) | |||||||
\(374\) | −15.0279 | + | 0.628722i | −0.777072 | + | 0.0325104i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.52873 | − | 27.9836i | −0.181981 | − | 1.44314i | ||||
\(377\) | − | 10.7489i | − | 0.553595i | ||||||
\(378\) | −0.0788658 | − | 1.88507i | −0.00405642 | − | 0.0969575i | ||||
\(379\) | 18.2775i | 0.938853i | 0.882972 | + | 0.469426i | \(0.155539\pi\) | ||||
−0.882972 | + | 0.469426i | \(0.844461\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.75190i | 0.448373i | ||||||||
\(382\) | 17.1298 | − | 0.716660i | 0.876436 | − | 0.0366675i | ||||
\(383\) | − | 11.7734i | − | 0.601594i | −0.953688 | − | 0.300797i | \(-0.902747\pi\) | ||
0.953688 | − | 0.300797i | \(-0.0972527\pi\) | |||||||
\(384\) | 10.8326 | − | 3.26432i | 0.552796 | − | 0.166582i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.0753305 | − | 1.80057i | −0.00383422 | − | 0.0916466i | ||||
\(387\) | −8.50078 | −0.432119 | ||||||||
\(388\) | 2.24606 | + | 26.7960i | 0.114026 | + | 1.36036i | ||||
\(389\) | 33.4270i | 1.69482i | 0.530942 | + | 0.847408i | \(0.321838\pi\) | ||||
−0.530942 | + | 0.847408i | \(0.678162\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 31.0526 | 1.57040 | ||||||||
\(392\) | 14.6488 | − | 1.84721i | 0.739876 | − | 0.0932984i | ||||
\(393\) | 0.471266i | 0.0237722i | ||||||||
\(394\) | 4.67482 | − | 0.195581i | 0.235514 | − | 0.00985322i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.491843 | − | 5.86779i | −0.0247161 | − | 0.294868i | ||||
\(397\) | 39.0434 | 1.95953 | 0.979766 | − | 0.200147i | \(-0.0641420\pi\) | ||||
0.979766 | + | 0.200147i | \(0.0641420\pi\) | |||||||
\(398\) | −12.7552 | + | 0.533640i | −0.639360 | + | 0.0267490i | ||||
\(399\) | 7.15035 | 0.357965 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −24.6140 | −1.22916 | −0.614581 | − | 0.788853i | \(-0.710675\pi\) | ||||
−0.614581 | + | 0.788853i | \(0.710675\pi\) | |||||||
\(402\) | −15.1133 | + | 0.632297i | −0.753784 | + | 0.0315361i | ||||
\(403\) | 4.24976 | 0.211695 | ||||||||
\(404\) | −1.69114 | − | 20.1756i | −0.0841372 | − | 1.00377i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.92361 | − | 0.415175i | 0.492500 | − | 0.0206048i | ||||
\(407\) | 19.3038i | 0.956855i | ||||||||
\(408\) | −1.27830 | − | 10.1372i | −0.0632851 | − | 0.501864i | ||||
\(409\) | 14.5024 | 0.717099 | 0.358550 | − | 0.933511i | \(-0.383271\pi\) | ||||
0.358550 | + | 0.933511i | \(0.383271\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.30382i | − | 0.0643127i | ||||||
\(412\) | 1.79539 | + | 21.4193i | 0.0884524 | + | 1.05526i | ||||
\(413\) | 6.33956 | 0.311949 | ||||||||
\(414\) | 0.508157 | + | 12.1461i | 0.0249745 | + | 0.596948i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −11.2989 | + | 2.39721i | −0.553973 | + | 0.117533i | ||||
\(417\) | 8.74723i | 0.428354i | ||||||||
\(418\) | 22.2964 | − | 0.932818i | 1.09055 | − | 0.0456256i | ||||
\(419\) | 12.6419i | 0.617598i | 0.951127 | + | 0.308799i | \(0.0999271\pi\) | ||||
−0.951127 | + | 0.308799i | \(0.900073\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 16.8389i | − | 0.820677i | −0.911933 | − | 0.410338i | \(-0.865411\pi\) | ||
0.911933 | − | 0.410338i | \(-0.134589\pi\) | |||||||
\(422\) | −0.390891 | − | 9.34318i | −0.0190283 | − | 0.454819i | ||||
\(423\) | − | 9.97204i | − | 0.484857i | ||||||
\(424\) | −17.1829 | + | 2.16676i | −0.834474 | + | 0.105227i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −3.70773 | + | 0.155120i | −0.179640 | + | 0.00751561i | ||||
\(427\) | 11.3596 | 0.549731 | ||||||||
\(428\) | 9.69636 | − | 0.812757i | 0.468691 | − | 0.0392861i | ||||
\(429\) | 6.01155i | 0.290240i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.98845 | 0.288454 | 0.144227 | − | 0.989545i | \(-0.453930\pi\) | ||||
0.144227 | + | 0.989545i | \(0.453930\pi\) | |||||||
\(432\) | 3.94418 | − | 0.665888i | 0.189765 | − | 0.0320376i | ||||
\(433\) | − | 2.22482i | − | 0.106918i | −0.998570 | − | 0.0534589i | \(-0.982975\pi\) | ||
0.998570 | − | 0.0534589i | \(-0.0170246\pi\) | |||||||
\(434\) | 0.164146 | + | 3.92347i | 0.00787928 | + | 0.188333i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.58223 | − | 30.8065i | −0.123666 | − | 1.47537i | ||||
\(437\) | −46.0719 | −2.20392 | ||||||||
\(438\) | −0.909629 | − | 21.7422i | −0.0434638 | − | 1.03888i | ||||
\(439\) | 2.30460 | 0.109993 | 0.0549963 | − | 0.998487i | \(-0.482485\pi\) | ||||
0.0549963 | + | 0.998487i | \(0.482485\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.22015 | 0.248578 | ||||||||
\(442\) | 0.436028 | + | 10.4220i | 0.0207397 | + | 0.495726i | ||||
\(443\) | −22.1347 | −1.05165 | −0.525826 | − | 0.850592i | \(-0.676244\pi\) | ||||
−0.525826 | + | 0.850592i | \(0.676244\pi\) | |||||||
\(444\) | −13.0674 | + | 1.09532i | −0.620149 | + | 0.0519815i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.0492566 | + | 1.17734i | 0.00233237 | + | 0.0557489i | ||||
\(447\) | 15.1411i | 0.716151i | ||||||||
\(448\) | −2.64957 | − | 10.3388i | −0.125181 | − | 0.488462i | ||||
\(449\) | −21.5861 | −1.01871 | −0.509356 | − | 0.860556i | \(-0.670116\pi\) | ||||
−0.509356 | + | 0.860556i | \(0.670116\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 20.6913i | − | 0.974316i | ||||||
\(452\) | −1.65191 | − | 19.7076i | −0.0776993 | − | 0.926969i | ||||
\(453\) | −23.2782 | −1.09371 | ||||||||
\(454\) | 15.5426 | − | 0.650257i | 0.729451 | − | 0.0305181i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.89657 | + | 15.0402i | 0.0888153 | + | 0.704323i | ||||
\(457\) | 2.50088i | 0.116986i | 0.998288 | + | 0.0584930i | \(0.0186295\pi\) | ||||
−0.998288 | + | 0.0584930i | \(0.981370\pi\) | |||||||
\(458\) | −0.898904 | − | 21.4858i | −0.0420030 | − | 1.00397i | ||||
\(459\) | − | 3.61241i | − | 0.168613i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 2.59609i | − | 0.120912i | −0.998171 | − | 0.0604561i | \(-0.980744\pi\) | ||
0.998171 | − | 0.0604561i | \(-0.0192555\pi\) | |||||||
\(462\) | −5.54999 | + | 0.232195i | −0.258209 | + | 0.0108027i | ||||
\(463\) | − | 27.8604i | − | 1.29478i | −0.762158 | − | 0.647392i | \(-0.775860\pi\) | ||
0.762158 | − | 0.647392i | \(-0.224140\pi\) | |||||||
\(464\) | 3.50545 | + | 20.7634i | 0.162736 | + | 0.963919i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.146365 | + | 3.49844i | 0.00678021 | + | 0.162062i | ||||
\(467\) | 5.75200 | 0.266171 | 0.133085 | − | 0.991105i | \(-0.457512\pi\) | ||||
0.133085 | + | 0.991105i | \(0.457512\pi\) | |||||||
\(468\) | −4.06940 | + | 0.341101i | −0.188108 | + | 0.0157674i | ||||
\(469\) | 14.2698i | 0.658917i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.8976 | 1.00899 | ||||||||
\(472\) | 1.68152 | + | 13.3348i | 0.0773982 | + | 0.613784i | ||||
\(473\) | 25.0279i | 1.15078i | ||||||||
\(474\) | −14.7585 | + | 0.617452i | −0.677880 | + | 0.0283605i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −9.60503 | + | 0.805102i | −0.440246 | + | 0.0369018i | ||||
\(477\) | −6.12318 | −0.280361 | ||||||||
\(478\) | 29.7766 | − | 1.24577i | 1.36195 | − | 0.0569801i | ||||
\(479\) | 12.5473 | 0.573299 | 0.286649 | − | 0.958036i | \(-0.407459\pi\) | ||||
0.286649 | + | 0.958036i | \(0.407459\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.3875 | 0.610417 | ||||||||
\(482\) | −8.63119 | + | 0.361104i | −0.393140 | + | 0.0164478i | ||||
\(483\) | 11.4682 | 0.521819 | ||||||||
\(484\) | 4.64726 | − | 0.389537i | 0.211239 | − | 0.0177062i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.41298 | − | 0.0591148i | 0.0640940 | − | 0.00268150i | ||||
\(487\) | 8.60530i | 0.389944i | 0.980809 | + | 0.194972i | \(0.0624615\pi\) | ||||
−0.980809 | + | 0.194972i | \(0.937538\pi\) | |||||||
\(488\) | 3.01305 | + | 23.8941i | 0.136395 | + | 1.08164i | ||||
\(489\) | −11.1643 | −0.504868 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 36.8866i | − | 1.66467i | −0.554273 | − | 0.832335i | \(-0.687004\pi\) | ||
0.554273 | − | 0.832335i | \(-0.312996\pi\) | |||||||
\(492\) | 14.0066 | − | 1.17404i | 0.631466 | − | 0.0529300i | ||||
\(493\) | 19.0169 | 0.856477 | ||||||||
\(494\) | −0.646923 | − | 15.4629i | −0.0291065 | − | 0.695710i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.20919 | + | 1.38594i | −0.368603 | + | 0.0622305i | ||||
\(497\) | 3.50078i | 0.157031i | ||||||||
\(498\) | 2.15773 | − | 0.0902732i | 0.0966903 | − | 0.00404524i | ||||
\(499\) | 36.2496i | 1.62275i | 0.584524 | + | 0.811377i | \(0.301281\pi\) | ||||
−0.584524 | + | 0.811377i | \(0.698719\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 10.0952i | − | 0.451021i | ||||||
\(502\) | 1.33178 | + | 31.8325i | 0.0594401 | + | 1.42075i | ||||
\(503\) | − | 23.3527i | − | 1.04124i | −0.853787 | − | 0.520622i | \(-0.825700\pi\) | ||
0.853787 | − | 0.520622i | \(-0.174300\pi\) | |||||||
\(504\) | −0.472092 | − | 3.74379i | −0.0210287 | − | 0.166762i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 35.7603 | − | 1.49611i | 1.58974 | − | 0.0665101i | ||||
\(507\) | −8.83090 | −0.392194 | ||||||||
\(508\) | 1.46206 | + | 17.4426i | 0.0648682 | + | 0.773891i | ||||
\(509\) | − | 3.35506i | − | 0.148711i | −0.997232 | − | 0.0743553i | \(-0.976310\pi\) | ||
0.997232 | − | 0.0743553i | \(-0.0236899\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.5286 | −0.908133 | ||||||||
\(512\) | 21.0441 | − | 8.31546i | 0.930025 | − | 0.367495i | ||||
\(513\) | 5.35964i | 0.236634i | ||||||||
\(514\) | −0.858858 | − | 20.5286i | −0.0378826 | − | 0.905479i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −16.9421 | + | 1.42010i | −0.745836 | + | 0.0625166i | ||||
\(517\) | −29.3595 | −1.29123 | ||||||||
\(518\) | 0.517091 | + | 12.3596i | 0.0227197 | + | 0.543051i | ||||
\(519\) | 13.8162 | 0.606466 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.6029 | −1.47217 | −0.736084 | − | 0.676890i | \(-0.763327\pi\) | ||||
−0.736084 | + | 0.676890i | \(0.763327\pi\) | |||||||
\(522\) | 0.311199 | + | 7.43836i | 0.0136208 | + | 0.325568i | ||||
\(523\) | −0.965721 | −0.0422280 | −0.0211140 | − | 0.999777i | \(-0.506721\pi\) | ||||
−0.0211140 | + | 0.999777i | \(0.506721\pi\) | |||||||
\(524\) | 0.0787277 | + | 0.939238i | 0.00343924 | + | 0.0410308i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.313128 | + | 7.48446i | 0.0136530 | + | 0.326338i | ||||
\(527\) | 7.51865i | 0.327517i | ||||||||
\(528\) | −1.96050 | − | 11.6124i | −0.0853197 | − | 0.505365i | ||||
\(529\) | −50.8928 | −2.21273 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.75190i | 0.206215i | ||||||||
\(532\) | 14.2507 | − | 1.19451i | 0.617848 | − | 0.0517885i | ||||
\(533\) | −14.3497 | −0.621556 | ||||||||
\(534\) | 17.9720 | − | 0.751898i | 0.777726 | − | 0.0325378i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −30.0154 | + | 3.78494i | −1.29647 | + | 0.163485i | ||||
\(537\) | − | 21.9441i | − | 0.946957i | ||||||
\(538\) | −1.60046 | − | 38.2545i | −0.0690006 | − | 1.64927i | ||||
\(539\) | − | 15.3691i | − | 0.661993i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.34877i | 0.272955i | 0.990643 | + | 0.136478i | \(0.0435781\pi\) | ||||
−0.990643 | + | 0.136478i | \(0.956422\pi\) | |||||||
\(542\) | 22.4104 | − | 0.937586i | 0.962609 | − | 0.0402728i | ||||
\(543\) | 1.93021i | 0.0828331i | ||||||||
\(544\) | −4.24113 | − | 19.9899i | −0.181837 | − | 0.857060i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.161031 | + | 3.84901i | 0.00689149 | + | 0.164722i | ||||
\(547\) | −2.07433 | −0.0886921 | −0.0443460 | − | 0.999016i | \(-0.514120\pi\) | ||||
−0.0443460 | + | 0.999016i | \(0.514120\pi\) | |||||||
\(548\) | −0.217811 | − | 2.59853i | −0.00930442 | − | 0.111004i | ||||
\(549\) | 8.51476i | 0.363401i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −28.2148 | −1.20199 | ||||||||
\(552\) | 3.04184 | + | 24.1224i | 0.129469 | + | 1.02672i | ||||
\(553\) | 13.9347i | 0.592566i | ||||||||
\(554\) | 14.1099 | − | 0.590316i | 0.599472 | − | 0.0250801i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.46128 | + | 17.4333i | 0.0619719 | + | 0.739337i | ||||
\(557\) | 27.6931 | 1.17339 | 0.586696 | − | 0.809807i | \(-0.300428\pi\) | ||||
0.586696 | + | 0.809807i | \(0.300428\pi\) | |||||||
\(558\) | −2.94089 | + | 0.123038i | −0.124498 | + | 0.00520861i | ||||
\(559\) | 17.3572 | 0.734131 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.6356 | −0.449035 | ||||||||
\(562\) | 18.9647 | − | 0.793426i | 0.799976 | − | 0.0334687i | ||||
\(563\) | −3.80771 | −0.160476 | −0.0802380 | − | 0.996776i | \(-0.525568\pi\) | ||||
−0.0802380 | + | 0.996776i | \(0.525568\pi\) | |||||||
\(564\) | −1.66589 | − | 19.8744i | −0.0701466 | − | 0.836863i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.42191 | − | 0.226837i | 0.227900 | − | 0.00953467i | ||||
\(567\) | − | 1.33411i | − | 0.0560274i | ||||||
\(568\) | −7.36362 | + | 0.928554i | −0.308971 | + | 0.0389613i | ||||
\(569\) | −38.6371 | −1.61975 | −0.809875 | − | 0.586603i | \(-0.800465\pi\) | ||||
−0.809875 | + | 0.586603i | \(0.800465\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.24976i | 0.261544i | 0.991412 | + | 0.130772i | \(0.0417456\pi\) | ||||
−0.991412 | + | 0.130772i | \(0.958254\pi\) | |||||||
\(572\) | 1.00426 | + | 11.9811i | 0.0419904 | + | 0.500954i | ||||
\(573\) | 12.1232 | 0.506453 | ||||||||
\(574\) | −0.554258 | − | 13.2480i | −0.0231343 | − | 0.552961i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 7.74956 | − | 1.98602i | 0.322898 | − | 0.0827509i | ||||
\(577\) | 2.17377i | 0.0904952i | 0.998976 | + | 0.0452476i | \(0.0144077\pi\) | ||||
−0.998976 | + | 0.0452476i | \(0.985592\pi\) | |||||||
\(578\) | 5.58198 | − | 0.233534i | 0.232180 | − | 0.00971372i | ||||
\(579\) | − | 1.27431i | − | 0.0529585i | ||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − | 2.03730i | − | 0.0845213i | ||||||
\(582\) | 0.794797 | + | 18.9974i | 0.0329454 | + | 0.787469i | ||||
\(583\) | 18.0278i | 0.746634i | ||||||||
\(584\) | −5.44506 | − | 43.1804i | −0.225318 | − | 1.78682i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −37.3661 | + | 1.56329i | −1.54358 | + | 0.0645789i | ||||
\(587\) | −34.1688 | −1.41030 | −0.705149 | − | 0.709059i | \(-0.749120\pi\) | ||||
−0.705149 | + | 0.709059i | \(0.749120\pi\) | |||||||
\(588\) | 10.4038 | − | 0.872056i | 0.429046 | − | 0.0359630i | ||||
\(589\) | − | 11.1552i | − | 0.459643i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.30849 | 0.136093 | ||||||||
\(592\) | −25.8604 | + | 4.36596i | −1.06286 | + | 0.179440i | ||||
\(593\) | 12.9952i | 0.533650i | 0.963745 | + | 0.266825i | \(0.0859746\pi\) | ||||
−0.963745 | + | 0.266825i | \(0.914025\pi\) | |||||||
\(594\) | −0.174045 | − | 4.16007i | −0.00714115 | − | 0.170690i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.52942 | + | 30.1765i | 0.103609 | + | 1.23608i | ||||
\(597\) | −9.02718 | −0.369458 | ||||||||
\(598\) | −1.03757 | − | 24.8003i | −0.0424295 | − | 1.01416i | ||||
\(599\) | −47.2572 | −1.93088 | −0.965439 | − | 0.260628i | \(-0.916071\pi\) | ||||
−0.965439 | + | 0.260628i | \(0.916071\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.5007 | −0.958613 | −0.479306 | − | 0.877648i | \(-0.659112\pi\) | ||||
−0.479306 | + | 0.877648i | \(0.659112\pi\) | |||||||
\(602\) | 0.670421 | + | 16.0246i | 0.0273243 | + | 0.653112i | ||||
\(603\) | −10.6961 | −0.435578 | ||||||||
\(604\) | −46.3937 | + | 3.88876i | −1.88773 | + | 0.158231i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.598430 | − | 14.3038i | −0.0243096 | − | 0.581053i | ||||
\(607\) | 0.218591i | 0.00887233i | 0.999990 | + | 0.00443617i | \(0.00141208\pi\) | ||||
−0.999990 | + | 0.00443617i | \(0.998588\pi\) | |||||||
\(608\) | 6.29245 | + | 29.6585i | 0.255193 | + | 1.20281i | ||||
\(609\) | 7.02319 | 0.284594 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 20.3613i | 0.823730i | ||||||||
\(612\) | −0.603474 | − | 7.19957i | −0.0243940 | − | 0.291025i | ||||
\(613\) | −35.7488 | −1.44388 | −0.721940 | − | 0.691956i | \(-0.756749\pi\) | ||||
−0.721940 | + | 0.691956i | \(0.756749\pi\) | |||||||
\(614\) | −1.80290 | + | 0.0754282i | −0.0727593 | + | 0.00304404i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.0224 | + | 1.38993i | −0.444105 | + | 0.0560018i | ||||
\(617\) | 33.0836i | 1.33189i | 0.745999 | + | 0.665947i | \(0.231972\pi\) | ||||
−0.745999 | + | 0.665947i | \(0.768028\pi\) | |||||||
\(618\) | 0.635321 | + | 15.1856i | 0.0255563 | + | 0.610854i | ||||
\(619\) | 25.1084i | 1.00919i | 0.863355 | + | 0.504596i | \(0.168359\pi\) | ||||
−0.863355 | + | 0.504596i | \(0.831641\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.59609i | 0.344949i | ||||||||
\(622\) | 3.45468 | − | 0.144534i | 0.138520 | − | 0.00579527i | ||||
\(623\) | − | 16.9689i | − | 0.679846i | ||||||
\(624\) | −8.05338 | + | 1.35964i | −0.322393 | + | 0.0544290i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 1.34974 | + | 32.2617i | 0.0539463 | + | 1.28944i | ||||
\(627\) | 15.7798 | 0.630183 | ||||||||
\(628\) | 43.6421 | − | 3.65812i | 1.74151 | − | 0.145975i | ||||
\(629\) | 23.6851i | 0.944386i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.2829 | 0.926876 | 0.463438 | − | 0.886129i | \(-0.346616\pi\) | ||||
0.463438 | + | 0.886129i | \(0.346616\pi\) | |||||||
\(632\) | −29.3107 | + | 3.69608i | −1.16592 | + | 0.147022i | ||||
\(633\) | − | 6.61241i | − | 0.262820i | ||||||
\(634\) | 2.98369 | − | 0.124829i | 0.118497 | − | 0.00495758i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −12.2036 | + | 1.02291i | −0.483902 | + | 0.0405611i | ||||
\(637\) | −10.6587 | −0.422313 | ||||||||
\(638\) | 21.8999 | − | 0.916228i | 0.867026 | − | 0.0362738i | ||||
\(639\) | −2.62405 | −0.103806 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −38.3021 | −1.51284 | −0.756420 | − | 0.654086i | \(-0.773054\pi\) | ||||
−0.756420 | + | 0.654086i | \(0.773054\pi\) | |||||||
\(642\) | 6.87439 | − | 0.287604i | 0.271311 | − | 0.0113508i | ||||
\(643\) | −45.8045 | −1.80635 | −0.903177 | − | 0.429269i | \(-0.858771\pi\) | ||||
−0.903177 | + | 0.429269i | \(0.858771\pi\) | |||||||
\(644\) | 22.8561 | − | 1.91582i | 0.900658 | − | 0.0754940i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 27.3569 | − | 1.14453i | 1.07634 | − | 0.0450311i | ||||
\(647\) | 48.1114i | 1.89146i | 0.324960 | + | 0.945728i | \(0.394649\pi\) | ||||
−0.324960 | + | 0.945728i | \(0.605351\pi\) | |||||||
\(648\) | 2.80620 | − | 0.353863i | 0.110238 | − | 0.0139010i | ||||
\(649\) | 13.9905 | 0.549174 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.77674i | 0.108829i | ||||||||
\(652\) | −22.2506 | + | 1.86507i | −0.871402 | + | 0.0730417i | ||||
\(653\) | −38.3331 | −1.50009 | −0.750046 | − | 0.661386i | \(-0.769969\pi\) | ||||
−0.750046 | + | 0.661386i | \(0.769969\pi\) | |||||||
\(654\) | −0.913755 | − | 21.8408i | −0.0357306 | − | 0.854043i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 27.7192 | − | 4.67977i | 1.08225 | − | 0.182714i | ||||
\(657\) | − | 15.3875i | − | 0.600323i | ||||||
\(658\) | −18.7980 | + | 0.786453i | −0.732822 | + | 0.0306591i | ||||
\(659\) | 5.03253i | 0.196040i | 0.995184 | + | 0.0980198i | \(0.0312508\pi\) | ||||
−0.995184 | + | 0.0980198i | \(0.968749\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 17.4665i | − | 0.679368i | −0.940540 | − | 0.339684i | \(-0.889680\pi\) | ||
0.940540 | − | 0.339684i | \(-0.110320\pi\) | |||||||
\(662\) | −1.37293 | − | 32.8161i | −0.0533605 | − | 1.27544i | ||||
\(663\) | 7.37595i | 0.286458i | ||||||||
\(664\) | 4.28530 | − | 0.540377i | 0.166302 | − | 0.0209707i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.26432 | + | 0.387592i | −0.358985 | + | 0.0150189i | ||||
\(667\) | −45.2526 | −1.75219 | ||||||||
\(668\) | −1.68647 | − | 20.1199i | −0.0652513 | − | 0.778462i | ||||
\(669\) | 0.833237i | 0.0322148i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 25.0690 | 0.967779 | ||||||||
\(672\) | −1.56631 | − | 7.38255i | −0.0604216 | − | 0.284788i | ||||
\(673\) | 32.4448i | 1.25065i | 0.780363 | + | 0.625327i | \(0.215034\pi\) | ||||
−0.780363 | + | 0.625327i | \(0.784966\pi\) | |||||||
\(674\) | −0.761894 | − | 18.2110i | −0.0293471 | − | 0.701461i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6001 | + | 1.47525i | −0.676926 | + | 0.0567405i | ||||
\(677\) | −8.07213 | −0.310237 | −0.155119 | − | 0.987896i | \(-0.549576\pi\) | ||||
−0.155119 | + | 0.987896i | \(0.549576\pi\) | |||||||
\(678\) | −0.584549 | − | 13.9720i | −0.0224495 | − | 0.536593i | ||||
\(679\) | 17.9371 | 0.688362 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.9999 | 0.421517 | ||||||||
\(682\) | 0.362247 | + | 8.65851i | 0.0138711 | + | 0.331551i | ||||
\(683\) | 36.3380 | 1.39043 | 0.695217 | − | 0.718799i | \(-0.255308\pi\) | ||||
0.695217 | + | 0.718799i | \(0.255308\pi\) | |||||||
\(684\) | 0.895358 | + | 10.6818i | 0.0342349 | + | 0.408429i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.963751 | − | 23.0358i | −0.0367962 | − | 0.879512i | ||||
\(687\) | − | 15.2061i | − | 0.580148i | ||||||
\(688\) | −33.5286 | + | 5.66057i | −1.27827 | + | 0.215807i | ||||
\(689\) | 12.5025 | 0.476308 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.0016i | 0.570686i | 0.958425 | + | 0.285343i | \(0.0921075\pi\) | ||||
−0.958425 | + | 0.285343i | \(0.907892\pi\) | |||||||
\(692\) | 27.5359 | − | 2.30808i | 1.04676 | − | 0.0877402i | ||||
\(693\) | −3.92787 | −0.149207 | ||||||||
\(694\) | 9.60581 | − | 0.401879i | 0.364632 | − | 0.0152551i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.86285 | + | 14.7728i | 0.0706110 | + | 0.559960i | ||||
\(697\) | − | 25.3875i | − | 0.961620i | ||||||
\(698\) | −2.04582 | − | 48.8998i | −0.0774356 | − | 1.85089i | ||||
\(699\) | 2.47594i | 0.0936485i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 13.2874i | − | 0.501859i | −0.968005 | − | 0.250929i | \(-0.919264\pi\) | ||
0.968005 | − | 0.250929i | \(-0.0807362\pi\) | |||||||
\(702\) | −2.88507 | + | 0.120703i | −0.108890 | + | 0.00455564i | ||||
\(703\) | − | 35.1409i | − | 1.32537i | ||||||
\(704\) | −5.84721 | − | 22.8161i | −0.220375 | − | 0.859916i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.723763 | + | 17.2996i | 0.0272392 | + | 0.651077i | ||||
\(707\) | −13.5054 | −0.507925 | ||||||||
\(708\) | 0.793832 | + | 9.47058i | 0.0298340 | + | 0.355926i | ||||
\(709\) | 37.8976i | 1.42327i | 0.702548 | + | 0.711637i | \(0.252046\pi\) | ||||
−0.702548 | + | 0.711637i | \(0.747954\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.4450 | −0.391717 | ||||||||
\(712\) | 35.6929 | − | 4.50088i | 1.33765 | − | 0.168677i | ||||
\(713\) | − | 17.8914i | − | 0.670038i | ||||||
\(714\) | −6.80964 | + | 0.284895i | −0.254844 | + | 0.0106619i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.66589 | − | 43.7348i | −0.137001 | − | 1.63445i | ||||
\(717\) | 21.0737 | 0.787011 | ||||||||
\(718\) | 2.84887 | − | 0.119188i | 0.106319 | − | 0.00444807i | ||||
\(719\) | 4.17909 | 0.155854 | 0.0779269 | − | 0.996959i | \(-0.475170\pi\) | ||||
0.0779269 | + | 0.996959i | \(0.475170\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.3380 | 0.533975 | ||||||||
\(722\) | −13.7422 | + | 0.574933i | −0.511431 | + | 0.0213968i | ||||
\(723\) | −6.10852 | −0.227178 | ||||||||
\(724\) | 0.322452 | + | 3.84692i | 0.0119838 | + | 0.142970i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.29475 | − | 0.137843i | 0.122280 | − | 0.00511582i | ||||
\(727\) | − | 26.7727i | − | 0.992943i | −0.868053 | − | 0.496471i | \(-0.834629\pi\) | ||
0.868053 | − | 0.496471i | \(-0.165371\pi\) | |||||||
\(728\) | 0.963936 | + | 7.64421i | 0.0357258 | + | 0.283313i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 30.7083i | 1.13579i | ||||||||
\(732\) | 1.42244 | + | 16.9700i | 0.0525749 | + | 0.627229i | ||||
\(733\) | 21.3364 | 0.788080 | 0.394040 | − | 0.919093i | \(-0.371077\pi\) | ||||
0.394040 | + | 0.919093i | \(0.371077\pi\) | |||||||
\(734\) | 0.792914 | + | 18.9524i | 0.0292670 | + | 0.699547i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.0922 | + | 47.5680i | 0.372003 | + | 1.75338i | ||||
\(737\) | 31.4912i | 1.15999i | ||||||||
\(738\) | 9.93021 | − | 0.415451i | 0.365536 | − | 0.0152930i | ||||
\(739\) | − | 13.1038i | − | 0.482033i | −0.970521 | − | 0.241016i | \(-0.922519\pi\) | ||
0.970521 | − | 0.241016i | \(-0.0774807\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 10.9435i | − | 0.402020i | ||||||
\(742\) | 0.482909 | + | 11.5426i | 0.0177282 | + | 0.423743i | ||||
\(743\) | − | 33.3595i | − | 1.22384i | −0.790919 | − | 0.611921i | \(-0.790397\pi\) | ||
0.790919 | − | 0.611921i | \(-0.209603\pi\) | |||||||
\(744\) | −5.84066 | + | 0.736508i | −0.214129 | + | 0.0270017i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 14.2676 | − | 0.596915i | 0.522375 | − | 0.0218546i | ||||
\(747\) | 1.52708 | 0.0558730 | ||||||||
\(748\) | −21.1969 | + | 1.77674i | −0.775034 | + | 0.0649640i | ||||
\(749\) | − | 6.49069i | − | 0.237165i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.92100 | −0.0700981 | −0.0350491 | − | 0.999386i | \(-0.511159\pi\) | ||||
−0.0350491 | + | 0.999386i | \(0.511159\pi\) | |||||||
\(752\) | −6.64027 | − | 39.3316i | −0.242146 | − | 1.43428i | ||||
\(753\) | 22.5286i | 0.820989i | ||||||||
\(754\) | −0.635418 | − | 15.1879i | −0.0231406 | − | 0.553112i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.222871 | − | 2.65890i | −0.00810575 | − | 0.0967032i | ||||
\(757\) | −13.9908 | −0.508504 | −0.254252 | − | 0.967138i | \(-0.581829\pi\) | ||||
−0.254252 | + | 0.967138i | \(0.581829\pi\) | |||||||
\(758\) | 1.08047 | + | 25.8257i | 0.0392445 | + | 0.938032i | ||||
\(759\) | 25.3085 | 0.918640 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 25.6618 | 0.930240 | 0.465120 | − | 0.885248i | \(-0.346011\pi\) | ||||
0.465120 | + | 0.885248i | \(0.346011\pi\) | |||||||
\(762\) | 0.517367 | + | 12.3662i | 0.0187422 | + | 0.447981i | ||||
\(763\) | −20.6217 | −0.746557 | ||||||||
\(764\) | 24.1616 | − | 2.02525i | 0.874137 | − | 0.0732709i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.695985 | − | 16.6356i | −0.0251469 | − | 0.601069i | ||||
\(767\) | − | 9.70260i | − | 0.350341i | ||||||
\(768\) | 15.1132 | − | 5.25277i | 0.545350 | − | 0.189543i | ||||
\(769\) | 12.3922 | 0.446873 | 0.223436 | − | 0.974719i | \(-0.428272\pi\) | ||||
0.223436 | + | 0.974719i | \(0.428272\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 14.5286i | − | 0.523236i | ||||||
\(772\) | −0.212881 | − | 2.53971i | −0.00766174 | − | 0.0914062i | ||||
\(773\) | 38.4843 | 1.38418 | 0.692091 | − | 0.721810i | \(-0.256689\pi\) | ||||
0.692091 | + | 0.721810i | \(0.256689\pi\) | |||||||
\(774\) | −12.0114 | + | 0.502522i | −0.431741 | + | 0.0180628i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.75767 | + | 37.7293i | 0.170790 | + | 1.35440i | ||||
\(777\) | 8.74723i | 0.313805i | ||||||||
\(778\) | 1.97603 | + | 47.2316i | 0.0708442 | + | 1.69333i | ||||
\(779\) | 37.6668i | 1.34955i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.72569i | 0.276447i | ||||||||
\(782\) | 43.8766 | − | 1.83567i | 1.56903 | − | 0.0656434i | ||||
\(783\) | 5.26432i | 0.188131i | ||||||||
\(784\) | 20.5892 | − | 3.47603i | 0.735329 | − | 0.124144i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.0278588 | + | 0.665888i | 0.000993691 | + | 0.0237514i | ||||
\(787\) | −0.389147 | −0.0138716 | −0.00693579 | − | 0.999976i | \(-0.502208\pi\) | ||||
−0.00693579 | + | 0.999976i | \(0.502208\pi\) | |||||||
\(788\) | 6.59386 | − | 0.552703i | 0.234896 | − | 0.0196892i | ||||
\(789\) | 5.29694i | 0.188576i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.1922 | −0.469060 | ||||||||
\(792\) | −1.04184 | − | 8.26198i | −0.0370201 | − | 0.293577i | ||||
\(793\) | − | 17.3857i | − | 0.617386i | ||||||
\(794\) | 55.1674 | − | 2.30804i | 1.95782 | − | 0.0819094i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −17.9913 | + | 1.50804i | −0.637683 | + | 0.0534512i | ||||
\(797\) | 0.854188 | 0.0302569 | 0.0151284 | − | 0.999886i | \(-0.495184\pi\) | ||||
0.0151284 | + | 0.999886i | \(0.495184\pi\) | |||||||
\(798\) | 10.1033 | − | 0.422692i | 0.357652 | − | 0.0149631i | ||||
\(799\) | −36.0231 | −1.27441 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.7193 | 0.449413 | ||||||||
\(802\) | −34.7790 | + | 1.45505i | −1.22809 | + | 0.0513796i | ||||
\(803\) | −45.3036 | −1.59873 | ||||||||
\(804\) | −21.3174 | + | 1.78684i | −0.751807 | + | 0.0630171i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 6.00481 | − | 0.251224i | 0.211510 | − | 0.00884897i | ||||
\(807\) | − | 27.0737i | − | 0.953039i | ||||||
\(808\) | −3.58221 | − | 28.4077i | −0.126022 | − | 0.999379i | ||||
\(809\) | 10.4107 | 0.366020 | 0.183010 | − | 0.983111i | \(-0.441416\pi\) | ||||
0.183010 | + | 0.983111i | \(0.441416\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.08825i | 0.213787i | 0.994270 | + | 0.106894i | \(0.0340904\pi\) | ||||
−0.994270 | + | 0.106894i | \(0.965910\pi\) | |||||||
\(812\) | 13.9973 | − | 1.17326i | 0.491209 | − | 0.0411735i | ||||
\(813\) | 15.8604 | 0.556249 | ||||||||
\(814\) | 1.14114 | + | 27.2759i | 0.0399970 | + | 0.956019i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −2.40546 | − | 14.2480i | −0.0842080 | − | 0.498780i | ||||
\(817\) | − | 45.5611i | − | 1.59398i | ||||||
\(818\) | 20.4916 | − | 0.857309i | 0.716472 | − | 0.0299751i | ||||
\(819\) | 2.72404i | 0.0951856i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 35.3908i | − | 1.23515i | −0.786513 | − | 0.617574i | \(-0.788116\pi\) | ||
0.786513 | − | 0.617574i | \(-0.211884\pi\) | |||||||
\(822\) | −0.0770751 | − | 1.84227i | −0.00268830 | − | 0.0642565i | ||||
\(823\) | 16.2846i | 0.567646i | 0.958877 | + | 0.283823i | \(0.0916028\pi\) | ||||
−0.958877 | + | 0.283823i | \(0.908397\pi\) | |||||||
\(824\) | 3.80304 | + | 30.1589i | 0.132485 | + | 1.05064i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.95766 | − | 0.374762i | 0.311677 | − | 0.0130396i | ||||
\(827\) | 32.1362 | 1.11748 | 0.558742 | − | 0.829341i | \(-0.311284\pi\) | ||||
0.558742 | + | 0.829341i | \(0.311284\pi\) | |||||||
\(828\) | 1.43603 | + | 17.1321i | 0.0499054 | + | 0.595382i | ||||
\(829\) | − | 22.4682i | − | 0.780355i | −0.920740 | − | 0.390177i | \(-0.872414\pi\) | ||
0.920740 | − | 0.390177i | \(-0.127586\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 9.98592 | 0.346408 | ||||||||
\(832\) | −15.8233 | + | 4.05513i | −0.548576 | + | 0.140586i | ||||
\(833\) | − | 18.8573i | − | 0.653367i | ||||||
\(834\) | 0.517091 | + | 12.3596i | 0.0179054 | + | 0.427979i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 31.4492 | − | 2.63610i | 1.08769 | − | 0.0911715i | ||||
\(837\) | −2.08134 | −0.0719416 | ||||||||
\(838\) | 0.747325 | + | 17.8627i | 0.0258159 | + | 0.617058i | ||||
\(839\) | 16.1358 | 0.557070 | 0.278535 | − | 0.960426i | \(-0.410151\pi\) | ||||
0.278535 | + | 0.960426i | \(0.410151\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.28695 | 0.0443777 | ||||||||
\(842\) | −0.995427 | − | 23.7930i | −0.0343047 | − | 0.819959i | ||||
\(843\) | 13.4218 | 0.462270 | ||||||||
\(844\) | −1.10464 | − | 13.1786i | −0.0380233 | − | 0.453626i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.589496 | − | 14.0903i | −0.0202673 | − | 0.484434i | ||||
\(847\) | − | 3.11085i | − | 0.106890i | ||||||
\(848\) | −24.1509 | + | 4.07735i | −0.829347 | + | 0.140017i | ||||
\(849\) | 3.83722 | 0.131693 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 56.3611i | − | 1.93203i | ||||||
\(852\) | −5.22976 | + | 0.438363i | −0.179169 | + | 0.0150181i | ||||
\(853\) | −44.6262 | −1.52797 | −0.763986 | − | 0.645233i | \(-0.776760\pi\) | ||||
−0.763986 | + | 0.645233i | \(0.776760\pi\) | |||||||
\(854\) | 16.0509 | − | 0.671523i | 0.549251 | − | 0.0229790i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 13.6527 | − | 1.72161i | 0.466639 | − | 0.0588433i | ||||
\(857\) | − | 4.52553i | − | 0.154589i | −0.997008 | − | 0.0772945i | \(-0.975372\pi\) | ||
0.997008 | − | 0.0772945i | \(-0.0246282\pi\) | |||||||
\(858\) | 0.355372 | + | 8.49418i | 0.0121322 | + | 0.289986i | ||||
\(859\) | − | 42.7783i | − | 1.45958i | −0.683673 | − | 0.729788i | \(-0.739619\pi\) | ||
0.683673 | − | 0.729788i | \(-0.260381\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | − | 9.37595i | − | 0.319531i | ||||||
\(862\) | 8.46155 | − | 0.354006i | 0.288202 | − | 0.0120575i | ||||
\(863\) | 23.7734i | 0.809257i | 0.914481 | + | 0.404629i | \(0.132599\pi\) | ||||
−0.914481 | + | 0.404629i | \(0.867401\pi\) | |||||||
\(864\) | 5.53368 | − | 1.17404i | 0.188260 | − | 0.0399418i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.131520 | − | 3.14362i | −0.00446922 | − | 0.106824i | ||||
\(867\) | 3.95051 | 0.134166 | ||||||||
\(868\) | 0.463870 | + | 5.53407i | 0.0157448 | + | 0.187839i | ||||
\(869\) | 30.7519i | 1.04319i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.8397 | 0.740009 | ||||||||
\(872\) | −5.46976 | − | 43.3763i | −0.185229 | − | 1.46891i | ||||
\(873\) | 13.4450i | 0.455043i | ||||||||
\(874\) | −65.0986 | + | 2.72353i | −2.20199 | + | 0.0921249i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.57057 | − | 30.6674i | −0.0868515 | − | 1.03616i | ||||
\(877\) | 13.1470 | 0.443944 | 0.221972 | − | 0.975053i | \(-0.428751\pi\) | ||||
0.221972 | + | 0.975053i | \(0.428751\pi\) | |||||||
\(878\) | 3.25635 | − | 0.136236i | 0.109896 | − | 0.00459774i | ||||
\(879\) | −26.4450 | −0.891966 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.9132 | 1.31102 | 0.655510 | − | 0.755187i | \(-0.272454\pi\) | ||||
0.655510 | + | 0.755187i | \(0.272454\pi\) | |||||||
\(882\) | 7.37595 | − | 0.308588i | 0.248361 | − | 0.0103907i | ||||
\(883\) | 44.5843 | 1.50038 | 0.750190 | − | 0.661223i | \(-0.229962\pi\) | ||||
0.750190 | + | 0.661223i | \(0.229962\pi\) | |||||||
\(884\) | 1.23220 | + | 14.7003i | 0.0414432 | + | 0.494426i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −31.2759 | + | 1.30849i | −1.05073 | + | 0.0439596i | ||||
\(887\) | 32.3240i | 1.08533i | 0.839948 | + | 0.542667i | \(0.182585\pi\) | ||||
−0.839948 | + | 0.542667i | \(0.817415\pi\) | |||||||
\(888\) | −18.3991 | + | 2.32013i | −0.617435 | + | 0.0778586i | ||||
\(889\) | 11.6760 | 0.391601 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − | 2.94418i | − | 0.0986339i | ||||||
\(892\) | 0.139197 | + | 1.66065i | 0.00466066 | + | 0.0556027i | ||||
\(893\) | 53.4465 | 1.78852 | ||||||||
\(894\) | 0.895066 | + | 21.3941i | 0.0299355 | + | 0.715526i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −4.35497 | − | 14.4518i | −0.145489 | − | 0.482802i | ||||
\(897\) | − | 17.5518i | − | 0.586038i | ||||||
\(898\) | −30.5007 | + | 1.27606i | −1.01782 | + | 0.0425826i | ||||
\(899\) | − | 10.9568i | − | 0.365431i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.1194i | 0.736904i | ||||||||
\(902\) | −1.22316 | − | 29.2364i | −0.0407269 | − | 0.973464i | ||||
\(903\) | 11.3410i | 0.377404i | ||||||||
\(904\) | −3.49912 | − | 27.7488i | −0.116379 | − | 0.922911i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −32.8916 | + | 1.37609i | −1.09275 | + | 0.0457174i | ||||
\(907\) | 14.8309 | 0.492452 | 0.246226 | − | 0.969212i | \(-0.420809\pi\) | ||||
0.246226 | + | 0.969212i | \(0.420809\pi\) | |||||||
\(908\) | 21.9229 | − | 1.83760i | 0.727538 | − | 0.0609828i | ||||
\(909\) | − | 10.1232i | − | 0.335765i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.6108 | 0.384681 | 0.192341 | − | 0.981328i | \(-0.438392\pi\) | ||||
0.192341 | + | 0.981328i | \(0.438392\pi\) | |||||||
\(912\) | 3.56892 | + | 21.1394i | 0.118179 | + | 0.699995i | ||||
\(913\) | − | 4.49601i | − | 0.148796i | ||||||
\(914\) | 0.147839 | + | 3.53368i | 0.00489007 | + | 0.116884i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.54026 | − | 30.3059i | −0.0839327 | − | 1.00133i | ||||
\(917\) | 0.628722 | 0.0207622 | ||||||||
\(918\) | −0.213547 | − | 5.10425i | −0.00704810 | − | 0.168465i | ||||
\(919\) | 58.2518 | 1.92155 | 0.960775 | − | 0.277330i | \(-0.0894495\pi\) | ||||
0.960775 | + | 0.277330i | \(0.0894495\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.27596 | −0.0420444 | ||||||||
\(922\) | −0.153468 | − | 3.66822i | −0.00505419 | − | 0.120807i | ||||
\(923\) | 5.35789 | 0.176357 | ||||||||
\(924\) | −7.82829 | + | 0.656174i | −0.257532 | + | 0.0215865i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.64696 | − | 39.3661i | −0.0541226 | − | 1.29365i | ||||
\(927\) | 10.7472i | 0.352985i | ||||||||
\(928\) | 6.18055 | + | 29.1311i | 0.202886 | + | 0.956274i | ||||
\(929\) | −18.4433 | −0.605105 | −0.302553 | − | 0.953133i | \(-0.597839\pi\) | ||||
−0.302553 | + | 0.953133i | \(0.597839\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 27.9781i | 0.916944i | ||||||||
\(932\) | 0.413620 | + | 4.93457i | 0.0135486 | + | 0.161637i | ||||
\(933\) | 2.44496 | 0.0800445 | ||||||||
\(934\) | 8.12744 | − | 0.340028i | 0.265938 | − | 0.0111261i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.72981 | + | 0.722530i | −0.187285 | + | 0.0236166i | ||||
\(937\) | 16.1005i | 0.525982i | 0.964798 | + | 0.262991i | \(0.0847089\pi\) | ||||
−0.964798 | + | 0.262991i | \(0.915291\pi\) | |||||||
\(938\) | 0.843555 | + | 20.1629i | 0.0275430 | + | 0.658341i | ||||
\(939\) | 22.8325i | 0.745109i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.0974i | 1.04635i | 0.852226 | + | 0.523173i | \(0.175252\pi\) | ||||
−0.852226 | + | 0.523173i | \(0.824748\pi\) | |||||||
\(942\) | 30.9408 | − | 1.29447i | 1.00811 | − | 0.0421762i | ||||
\(943\) | 60.4121i | 1.96729i | ||||||||
\(944\) | 3.16423 | + | 18.7424i | 0.102987 | + | 0.610012i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.47952 | + | 35.3638i | 0.0481033 | + | 1.14978i | ||||
\(947\) | −4.10998 | −0.133556 | −0.0667782 | − | 0.997768i | \(-0.521272\pi\) | ||||
−0.0667782 | + | 0.997768i | \(0.521272\pi\) | |||||||
\(948\) | −20.8169 | + | 1.74489i | −0.676102 | + | 0.0566715i | ||||
\(949\) | 31.4188i | 1.01990i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.11163 | 0.0684743 | ||||||||
\(952\) | −13.5241 | + | 1.70539i | −0.438318 | + | 0.0552720i | ||||
\(953\) | − | 31.7208i | − | 1.02754i | −0.857928 | − | 0.513769i | \(-0.828249\pi\) | ||
0.857928 | − | 0.513769i | \(-0.171751\pi\) | |||||||
\(954\) | −8.65191 | + | 0.361971i | −0.280116 | + | 0.0117192i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 42.0001 | − | 3.52048i | 1.35838 | − | 0.113861i | ||||
\(957\) | 15.4991 | 0.501016 | ||||||||
\(958\) | 17.7290 | − | 0.741729i | 0.572798 | − | 0.0239642i | ||||
\(959\) | −1.73944 | −0.0561695 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.6680 | −0.860259 | ||||||||
\(962\) | 18.9162 | − | 0.791399i | 0.609884 | − | 0.0255157i | ||||
\(963\) | 4.86518 | 0.156778 | ||||||||
\(964\) | −12.1743 | + | 1.02046i | −0.392109 | + | 0.0328669i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 16.2042 | − | 0.677938i | 0.521363 | − | 0.0218123i | ||||
\(967\) | − | 26.9936i | − | 0.868055i | −0.900900 | − | 0.434027i | \(-0.857092\pi\) | ||
0.900900 | − | 0.434027i | \(-0.142908\pi\) | |||||||
\(968\) | 6.54344 | − | 0.825129i | 0.210314 | − | 0.0265206i | ||||
\(969\) | 19.3612 | 0.621971 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 14.0559i | − | 0.451076i | −0.974234 | − | 0.225538i | \(-0.927586\pi\) | ||
0.974234 | − | 0.225538i | \(-0.0724139\pi\) | |||||||
\(972\) | 1.99301 | − | 0.167056i | 0.0639259 | − | 0.00535832i | ||||
\(973\) | 11.6698 | 0.374116 | ||||||||
\(974\) | 0.508701 | + | 12.1591i | 0.0162998 | + | 0.389603i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.66988 | + | 33.5838i | 0.181488 | + | 1.07499i | ||||
\(977\) | 1.14251i | 0.0365520i | 0.999833 | + | 0.0182760i | \(0.00581776\pi\) | ||||
−0.999833 | + | 0.0182760i | \(0.994182\pi\) | |||||||
\(978\) | −15.7749 | + | 0.659978i | −0.504427 | + | 0.0211038i | ||||
\(979\) | − | 37.4479i | − | 1.19684i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 15.4573i | − | 0.493513i | ||||||
\(982\) | −2.18055 | − | 52.1200i | −0.0695840 | − | 1.66321i | ||||
\(983\) | − | 6.41720i | − | 0.204677i | −0.994750 | − | 0.102338i | \(-0.967368\pi\) | ||
0.994750 | − | 0.102338i | \(-0.0326325\pi\) | |||||||
\(984\) | 19.7216 | − | 2.48690i | 0.628702 | − | 0.0792794i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 26.8704 | − | 1.12418i | 0.855728 | − | 0.0358011i | ||||
\(987\) | −13.3038 | −0.423465 | ||||||||
\(988\) | −1.82818 | − | 21.8105i | −0.0581620 | − | 0.693885i | ||||
\(989\) | − | 73.0735i | − | 2.32360i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.39470 | −0.234900 | −0.117450 | − | 0.993079i | \(-0.537472\pi\) | ||||
−0.117450 | + | 0.993079i | \(0.537472\pi\) | |||||||
\(992\) | −11.5175 | + | 2.44359i | −0.365680 | + | 0.0775839i | ||||
\(993\) | − | 23.2248i | − | 0.737017i | ||||||
\(994\) | 0.206948 | + | 4.94652i | 0.00656399 | + | 0.156894i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.04349 | − | 0.255108i | 0.0964367 | − | 0.00808340i | ||||
\(997\) | 31.6649 | 1.00284 | 0.501419 | − | 0.865205i | \(-0.332812\pi\) | ||||
0.501419 | + | 0.865205i | \(0.332812\pi\) | |||||||
\(998\) | 2.14289 | + | 51.2198i | 0.0678319 | + | 1.62133i | ||||
\(999\) | −6.55659 | −0.207441 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))