Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(14,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.b (of order \(2\), degree \(1\), 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: | \(0.519027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 14.2 | ||
Root | \(-0.854638 + 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.14 |
Dual form | 65.2.b.a.14.5 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.53919i | − | 1.08837i | −0.838965 | − | 0.544185i | \(-0.816839\pi\) | ||
0.838965 | − | 0.544185i | \(-0.183161\pi\) | |||||||
\(3\) | 3.17009i | 1.83025i | 0.403170 | + | 0.915125i | \(0.367908\pi\) | ||||
−0.403170 | + | 0.915125i | \(0.632092\pi\) | |||||||
\(4\) | −0.369102 | −0.184551 | ||||||||
\(5\) | 0.539189 | − | 2.17009i | 0.241133 | − | 0.970492i | ||||
\(6\) | 4.87936 | 1.99199 | ||||||||
\(7\) | 1.70928i | 0.646045i | 0.946391 | + | 0.323023i | \(0.104699\pi\) | ||||
−0.946391 | + | 0.323023i | \(0.895301\pi\) | |||||||
\(8\) | − | 2.51026i | − | 0.887511i | ||||||
\(9\) | −7.04945 | −2.34982 | ||||||||
\(10\) | −3.34017 | − | 0.829914i | −1.05626 | − | 0.262442i | ||||
\(11\) | −2.53919 | −0.765594 | −0.382797 | − | 0.923832i | \(-0.625039\pi\) | ||||
−0.382797 | + | 0.923832i | \(0.625039\pi\) | |||||||
\(12\) | − | 1.17009i | − | 0.337775i | ||||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 2.63090 | 0.703137 | ||||||||
\(15\) | 6.87936 | + | 1.70928i | 1.77624 | + | 0.441333i | ||||
\(16\) | −4.60197 | −1.15049 | ||||||||
\(17\) | − | 0.921622i | − | 0.223526i | −0.993735 | − | 0.111763i | \(-0.964350\pi\) | ||
0.993735 | − | 0.111763i | \(-0.0356498\pi\) | |||||||
\(18\) | 10.8504i | 2.55747i | ||||||||
\(19\) | 0.539189 | 0.123698 | 0.0618492 | − | 0.998086i | \(-0.480300\pi\) | ||||
0.0618492 | + | 0.998086i | \(0.480300\pi\) | |||||||
\(20\) | −0.199016 | + | 0.800984i | −0.0445013 | + | 0.179105i | ||||
\(21\) | −5.41855 | −1.18242 | ||||||||
\(22\) | 3.90829i | 0.833250i | ||||||||
\(23\) | 2.82991i | 0.590078i | 0.955485 | + | 0.295039i | \(0.0953326\pi\) | ||||
−0.955485 | + | 0.295039i | \(0.904667\pi\) | |||||||
\(24\) | 7.95774 | 1.62437 | ||||||||
\(25\) | −4.41855 | − | 2.34017i | −0.883710 | − | 0.468035i | ||||
\(26\) | −1.53919 | −0.301860 | ||||||||
\(27\) | − | 12.8371i | − | 2.47050i | ||||||
\(28\) | − | 0.630898i | − | 0.119228i | ||||||
\(29\) | 5.12783 | 0.952213 | 0.476107 | − | 0.879388i | \(-0.342048\pi\) | ||||
0.476107 | + | 0.879388i | \(0.342048\pi\) | |||||||
\(30\) | 2.63090 | − | 10.5886i | 0.480334 | − | 1.93321i | ||||
\(31\) | 0.879362 | 0.157938 | 0.0789690 | − | 0.996877i | \(-0.474837\pi\) | ||||
0.0789690 | + | 0.996877i | \(0.474837\pi\) | |||||||
\(32\) | 2.06278i | 0.364651i | ||||||||
\(33\) | − | 8.04945i | − | 1.40123i | ||||||
\(34\) | −1.41855 | −0.243279 | ||||||||
\(35\) | 3.70928 | + | 0.921622i | 0.626982 | + | 0.155783i | ||||
\(36\) | 2.60197 | 0.433661 | ||||||||
\(37\) | 6.04945i | 0.994523i | 0.867601 | + | 0.497262i | \(0.165661\pi\) | ||||
−0.867601 | + | 0.497262i | \(0.834339\pi\) | |||||||
\(38\) | − | 0.829914i | − | 0.134630i | ||||||
\(39\) | 3.17009 | 0.507620 | ||||||||
\(40\) | −5.44748 | − | 1.35350i | −0.861322 | − | 0.214008i | ||||
\(41\) | 1.26180 | 0.197059 | 0.0985297 | − | 0.995134i | \(-0.468586\pi\) | ||||
0.0985297 | + | 0.995134i | \(0.468586\pi\) | |||||||
\(42\) | 8.34017i | 1.28692i | ||||||||
\(43\) | 6.43188i | 0.980853i | 0.871483 | + | 0.490426i | \(0.163159\pi\) | ||||
−0.871483 | + | 0.490426i | \(0.836841\pi\) | |||||||
\(44\) | 0.937221 | 0.141291 | ||||||||
\(45\) | −3.80098 | + | 15.2979i | −0.566617 | + | 2.28048i | ||||
\(46\) | 4.35577 | 0.642223 | ||||||||
\(47\) | − | 5.70928i | − | 0.832783i | −0.909185 | − | 0.416392i | \(-0.863295\pi\) | ||
0.909185 | − | 0.416392i | \(-0.136705\pi\) | |||||||
\(48\) | − | 14.5886i | − | 2.10569i | ||||||
\(49\) | 4.07838 | 0.582625 | ||||||||
\(50\) | −3.60197 | + | 6.80098i | −0.509395 | + | 0.961804i | ||||
\(51\) | 2.92162 | 0.409109 | ||||||||
\(52\) | 0.369102i | 0.0511853i | ||||||||
\(53\) | 8.49693i | 1.16714i | 0.812062 | + | 0.583571i | \(0.198345\pi\) | ||||
−0.812062 | + | 0.583571i | \(0.801655\pi\) | |||||||
\(54\) | −19.7587 | −2.68882 | ||||||||
\(55\) | −1.36910 | + | 5.51026i | −0.184610 | + | 0.743003i | ||||
\(56\) | 4.29072 | 0.573372 | ||||||||
\(57\) | 1.70928i | 0.226399i | ||||||||
\(58\) | − | 7.89269i | − | 1.03636i | ||||||
\(59\) | 4.72261 | 0.614831 | 0.307415 | − | 0.951575i | \(-0.400536\pi\) | ||||
0.307415 | + | 0.951575i | \(0.400536\pi\) | |||||||
\(60\) | −2.53919 | − | 0.630898i | −0.327808 | − | 0.0814485i | ||||
\(61\) | 8.04945 | 1.03063 | 0.515313 | − | 0.857002i | \(-0.327676\pi\) | ||||
0.515313 | + | 0.857002i | \(0.327676\pi\) | |||||||
\(62\) | − | 1.35350i | − | 0.171895i | ||||||
\(63\) | − | 12.0494i | − | 1.51809i | ||||||
\(64\) | −6.02893 | −0.753616 | ||||||||
\(65\) | −2.17009 | − | 0.539189i | −0.269166 | − | 0.0668781i | ||||
\(66\) | −12.3896 | −1.52506 | ||||||||
\(67\) | − | 7.86603i | − | 0.960989i | −0.876998 | − | 0.480494i | \(-0.840457\pi\) | ||
0.876998 | − | 0.480494i | \(-0.159543\pi\) | |||||||
\(68\) | 0.340173i | 0.0412520i | ||||||||
\(69\) | −8.97107 | −1.07999 | ||||||||
\(70\) | 1.41855 | − | 5.70928i | 0.169549 | − | 0.682389i | ||||
\(71\) | −14.4813 | −1.71862 | −0.859309 | − | 0.511457i | \(-0.829106\pi\) | ||||
−0.859309 | + | 0.511457i | \(0.829106\pi\) | |||||||
\(72\) | 17.6959i | 2.08549i | ||||||||
\(73\) | − | 1.95055i | − | 0.228295i | −0.993464 | − | 0.114147i | \(-0.963586\pi\) | ||
0.993464 | − | 0.114147i | \(-0.0364136\pi\) | |||||||
\(74\) | 9.31124 | 1.08241 | ||||||||
\(75\) | 7.41855 | − | 14.0072i | 0.856620 | − | 1.61741i | ||||
\(76\) | −0.199016 | −0.0228287 | ||||||||
\(77\) | − | 4.34017i | − | 0.494609i | ||||||
\(78\) | − | 4.87936i | − | 0.552479i | ||||||
\(79\) | −0.496928 | −0.0559088 | −0.0279544 | − | 0.999609i | \(-0.508899\pi\) | ||||
−0.0279544 | + | 0.999609i | \(0.508899\pi\) | |||||||
\(80\) | −2.48133 | + | 9.98667i | −0.277421 | + | 1.11654i | ||||
\(81\) | 19.5464 | 2.17182 | ||||||||
\(82\) | − | 1.94214i | − | 0.214474i | ||||||
\(83\) | 8.63090i | 0.947364i | 0.880696 | + | 0.473682i | \(0.157075\pi\) | ||||
−0.880696 | + | 0.473682i | \(0.842925\pi\) | |||||||
\(84\) | 2.00000 | 0.218218 | ||||||||
\(85\) | −2.00000 | − | 0.496928i | −0.216930 | − | 0.0538995i | ||||
\(86\) | 9.89988 | 1.06753 | ||||||||
\(87\) | 16.2557i | 1.74279i | ||||||||
\(88\) | 6.37402i | 0.679473i | ||||||||
\(89\) | −12.8371 | −1.36073 | −0.680365 | − | 0.732873i | \(-0.738179\pi\) | ||||
−0.680365 | + | 0.732873i | \(0.738179\pi\) | |||||||
\(90\) | 23.5464 | + | 5.85043i | 2.48201 | + | 0.616690i | ||||
\(91\) | 1.70928 | 0.179181 | ||||||||
\(92\) | − | 1.04453i | − | 0.108900i | ||||||
\(93\) | 2.78765i | 0.289066i | ||||||||
\(94\) | −8.78765 | −0.906377 | ||||||||
\(95\) | 0.290725 | − | 1.17009i | 0.0298277 | − | 0.120048i | ||||
\(96\) | −6.53919 | −0.667403 | ||||||||
\(97\) | − | 5.91548i | − | 0.600626i | −0.953841 | − | 0.300313i | \(-0.902909\pi\) | ||
0.953841 | − | 0.300313i | \(-0.0970911\pi\) | |||||||
\(98\) | − | 6.27739i | − | 0.634113i | ||||||
\(99\) | 17.8999 | 1.79901 | ||||||||
\(100\) | 1.63090 | + | 0.863763i | 0.163090 | + | 0.0863763i | ||||
\(101\) | −16.4391 | −1.63575 | −0.817874 | − | 0.575397i | \(-0.804848\pi\) | ||||
−0.817874 | + | 0.575397i | \(0.804848\pi\) | |||||||
\(102\) | − | 4.49693i | − | 0.445262i | ||||||
\(103\) | − | 10.1906i | − | 1.00411i | −0.864836 | − | 0.502055i | \(-0.832577\pi\) | ||
0.864836 | − | 0.502055i | \(-0.167423\pi\) | |||||||
\(104\) | −2.51026 | −0.246151 | ||||||||
\(105\) | −2.92162 | + | 11.7587i | −0.285121 | + | 1.14753i | ||||
\(106\) | 13.0784 | 1.27028 | ||||||||
\(107\) | − | 9.75154i | − | 0.942717i | −0.881942 | − | 0.471358i | \(-0.843764\pi\) | ||
0.881942 | − | 0.471358i | \(-0.156236\pi\) | |||||||
\(108\) | 4.73820i | 0.455934i | ||||||||
\(109\) | 16.8638 | 1.61526 | 0.807628 | − | 0.589693i | \(-0.200751\pi\) | ||||
0.807628 | + | 0.589693i | \(0.200751\pi\) | |||||||
\(110\) | 8.48133 | + | 2.10731i | 0.808663 | + | 0.200924i | ||||
\(111\) | −19.1773 | −1.82023 | ||||||||
\(112\) | − | 7.86603i | − | 0.743270i | ||||||
\(113\) | − | 11.7587i | − | 1.10617i | −0.833126 | − | 0.553084i | \(-0.813451\pi\) | ||
0.833126 | − | 0.553084i | \(-0.186549\pi\) | |||||||
\(114\) | 2.63090 | 0.246406 | ||||||||
\(115\) | 6.14116 | + | 1.52586i | 0.572666 | + | 0.142287i | ||||
\(116\) | −1.89269 | −0.175732 | ||||||||
\(117\) | 7.04945i | 0.651722i | ||||||||
\(118\) | − | 7.26898i | − | 0.669164i | ||||||
\(119\) | 1.57531 | 0.144408 | ||||||||
\(120\) | 4.29072 | − | 17.2690i | 0.391688 | − | 1.57644i | ||||
\(121\) | −4.55252 | −0.413865 | ||||||||
\(122\) | − | 12.3896i | − | 1.12170i | ||||||
\(123\) | 4.00000i | 0.360668i | ||||||||
\(124\) | −0.324575 | −0.0291477 | ||||||||
\(125\) | −7.46081 | + | 8.32684i | −0.667315 | + | 0.744775i | ||||
\(126\) | −18.5464 | −1.65224 | ||||||||
\(127\) | 18.0072i | 1.59788i | 0.601411 | + | 0.798940i | \(0.294605\pi\) | ||||
−0.601411 | + | 0.798940i | \(0.705395\pi\) | |||||||
\(128\) | 13.4052i | 1.18487i | ||||||||
\(129\) | −20.3896 | −1.79521 | ||||||||
\(130\) | −0.829914 | + | 3.34017i | −0.0727882 | + | 0.292953i | ||||
\(131\) | 14.2557 | 1.24552 | 0.622761 | − | 0.782412i | \(-0.286011\pi\) | ||||
0.622761 | + | 0.782412i | \(0.286011\pi\) | |||||||
\(132\) | 2.97107i | 0.258599i | ||||||||
\(133\) | 0.921622i | 0.0799148i | ||||||||
\(134\) | −12.1073 | −1.04591 | ||||||||
\(135\) | −27.8576 | − | 6.92162i | −2.39760 | − | 0.595718i | ||||
\(136\) | −2.31351 | −0.198382 | ||||||||
\(137\) | − | 13.7854i | − | 1.17776i | −0.808219 | − | 0.588882i | \(-0.799568\pi\) | ||
0.808219 | − | 0.588882i | \(-0.200432\pi\) | |||||||
\(138\) | 13.8082i | 1.17543i | ||||||||
\(139\) | 6.65368 | 0.564358 | 0.282179 | − | 0.959362i | \(-0.408943\pi\) | ||||
0.282179 | + | 0.959362i | \(0.408943\pi\) | |||||||
\(140\) | −1.36910 | − | 0.340173i | −0.115710 | − | 0.0287499i | ||||
\(141\) | 18.0989 | 1.52420 | ||||||||
\(142\) | 22.2895i | 1.87049i | ||||||||
\(143\) | 2.53919i | 0.212338i | ||||||||
\(144\) | 32.4413 | 2.70344 | ||||||||
\(145\) | 2.76487 | − | 11.1278i | 0.229610 | − | 0.924116i | ||||
\(146\) | −3.00227 | −0.248469 | ||||||||
\(147\) | 12.9288i | 1.06635i | ||||||||
\(148\) | − | 2.23287i | − | 0.183540i | ||||||
\(149\) | 9.07838 | 0.743730 | 0.371865 | − | 0.928287i | \(-0.378718\pi\) | ||||
0.371865 | + | 0.928287i | \(0.378718\pi\) | |||||||
\(150\) | −21.5597 | − | 11.4186i | −1.76034 | − | 0.932321i | ||||
\(151\) | 3.27739 | 0.266711 | 0.133355 | − | 0.991068i | \(-0.457425\pi\) | ||||
0.133355 | + | 0.991068i | \(0.457425\pi\) | |||||||
\(152\) | − | 1.35350i | − | 0.109784i | ||||||
\(153\) | 6.49693i | 0.525246i | ||||||||
\(154\) | −6.68035 | −0.538318 | ||||||||
\(155\) | 0.474142 | − | 1.90829i | 0.0380840 | − | 0.153278i | ||||
\(156\) | −1.17009 | −0.0936819 | ||||||||
\(157\) | − | 12.8371i | − | 1.02451i | −0.858833 | − | 0.512256i | \(-0.828810\pi\) | ||
0.858833 | − | 0.512256i | \(-0.171190\pi\) | |||||||
\(158\) | 0.764867i | 0.0608495i | ||||||||
\(159\) | −26.9360 | −2.13616 | ||||||||
\(160\) | 4.47641 | + | 1.11223i | 0.353891 | + | 0.0879293i | ||||
\(161\) | −4.83710 | −0.381217 | ||||||||
\(162\) | − | 30.0856i | − | 2.36375i | ||||||
\(163\) | 12.0494i | 0.943786i | 0.881656 | + | 0.471893i | \(0.156429\pi\) | ||||
−0.881656 | + | 0.471893i | \(0.843571\pi\) | |||||||
\(164\) | −0.465732 | −0.0363675 | ||||||||
\(165\) | −17.4680 | − | 4.34017i | −1.35988 | − | 0.337882i | ||||
\(166\) | 13.2846 | 1.03108 | ||||||||
\(167\) | − | 8.72979i | − | 0.675532i | −0.941230 | − | 0.337766i | \(-0.890329\pi\) | ||
0.941230 | − | 0.337766i | \(-0.109671\pi\) | |||||||
\(168\) | 13.6020i | 1.04941i | ||||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −0.764867 | + | 3.07838i | −0.0586626 | + | 0.236101i | ||||
\(171\) | −3.80098 | −0.290669 | ||||||||
\(172\) | − | 2.37402i | − | 0.181018i | ||||||
\(173\) | 0.863763i | 0.0656707i | 0.999461 | + | 0.0328354i | \(0.0104537\pi\) | ||||
−0.999461 | + | 0.0328354i | \(0.989546\pi\) | |||||||
\(174\) | 25.0205 | 1.89680 | ||||||||
\(175\) | 4.00000 | − | 7.55252i | 0.302372 | − | 0.570917i | ||||
\(176\) | 11.6853 | 0.880810 | ||||||||
\(177\) | 14.9711i | 1.12529i | ||||||||
\(178\) | 19.7587i | 1.48098i | ||||||||
\(179\) | −19.9155 | −1.48855 | −0.744276 | − | 0.667872i | \(-0.767205\pi\) | ||||
−0.744276 | + | 0.667872i | \(0.767205\pi\) | |||||||
\(180\) | 1.40295 | − | 5.64650i | 0.104570 | − | 0.420865i | ||||
\(181\) | 14.3896 | 1.06957 | 0.534786 | − | 0.844987i | \(-0.320392\pi\) | ||||
0.534786 | + | 0.844987i | \(0.320392\pi\) | |||||||
\(182\) | − | 2.63090i | − | 0.195015i | ||||||
\(183\) | 25.5174i | 1.88630i | ||||||||
\(184\) | 7.10382 | 0.523700 | ||||||||
\(185\) | 13.1278 | + | 3.26180i | 0.965177 | + | 0.239812i | ||||
\(186\) | 4.29072 | 0.314611 | ||||||||
\(187\) | 2.34017i | 0.171130i | ||||||||
\(188\) | 2.10731i | 0.153691i | ||||||||
\(189\) | 21.9421 | 1.59606 | ||||||||
\(190\) | −1.80098 | − | 0.447480i | −0.130657 | − | 0.0324636i | ||||
\(191\) | 1.47641 | 0.106829 | 0.0534146 | − | 0.998572i | \(-0.482990\pi\) | ||||
0.0534146 | + | 0.998572i | \(0.482990\pi\) | |||||||
\(192\) | − | 19.1122i | − | 1.37931i | ||||||
\(193\) | − | 17.7321i | − | 1.27638i | −0.769878 | − | 0.638191i | \(-0.779683\pi\) | ||
0.769878 | − | 0.638191i | \(-0.220317\pi\) | |||||||
\(194\) | −9.10504 | −0.653704 | ||||||||
\(195\) | 1.70928 | − | 6.87936i | 0.122404 | − | 0.492641i | ||||
\(196\) | −1.50534 | −0.107524 | ||||||||
\(197\) | − | 2.00000i | − | 0.142494i | −0.997459 | − | 0.0712470i | \(-0.977302\pi\) | ||
0.997459 | − | 0.0712470i | \(-0.0226979\pi\) | |||||||
\(198\) | − | 27.5513i | − | 1.95799i | ||||||
\(199\) | 5.39189 | 0.382221 | 0.191110 | − | 0.981569i | \(-0.438791\pi\) | ||||
0.191110 | + | 0.981569i | \(0.438791\pi\) | |||||||
\(200\) | −5.87444 | + | 11.0917i | −0.415386 | + | 0.784302i | ||||
\(201\) | 24.9360 | 1.75885 | ||||||||
\(202\) | 25.3028i | 1.78030i | ||||||||
\(203\) | 8.76487i | 0.615173i | ||||||||
\(204\) | −1.07838 | −0.0755015 | ||||||||
\(205\) | 0.680346 | − | 2.73820i | 0.0475174 | − | 0.191245i | ||||
\(206\) | −15.6853 | −1.09284 | ||||||||
\(207\) | − | 19.9493i | − | 1.38657i | ||||||
\(208\) | 4.60197i | 0.319089i | ||||||||
\(209\) | −1.36910 | −0.0947028 | ||||||||
\(210\) | 18.0989 | + | 4.49693i | 1.24894 | + | 0.310318i | ||||
\(211\) | −22.7526 | −1.56635 | −0.783176 | − | 0.621800i | \(-0.786402\pi\) | ||||
−0.783176 | + | 0.621800i | \(0.786402\pi\) | |||||||
\(212\) | − | 3.13624i | − | 0.215398i | ||||||
\(213\) | − | 45.9071i | − | 3.14550i | ||||||
\(214\) | −15.0095 | −1.02603 | ||||||||
\(215\) | 13.9577 | + | 3.46800i | 0.951910 | + | 0.236516i | ||||
\(216\) | −32.2245 | −2.19260 | ||||||||
\(217\) | 1.50307i | 0.102035i | ||||||||
\(218\) | − | 25.9565i | − | 1.75800i | ||||||
\(219\) | 6.18342 | 0.417837 | ||||||||
\(220\) | 0.505339 | − | 2.03385i | 0.0340699 | − | 0.137122i | ||||
\(221\) | −0.921622 | −0.0619950 | ||||||||
\(222\) | 29.5174i | 1.98108i | ||||||||
\(223\) | 8.76099i | 0.586679i | 0.956008 | + | 0.293340i | \(0.0947667\pi\) | ||||
−0.956008 | + | 0.293340i | \(0.905233\pi\) | |||||||
\(224\) | −3.52586 | −0.235581 | ||||||||
\(225\) | 31.1483 | + | 16.4969i | 2.07656 | + | 1.09980i | ||||
\(226\) | −18.0989 | −1.20392 | ||||||||
\(227\) | 17.2267i | 1.14338i | 0.820470 | + | 0.571689i | \(0.193712\pi\) | ||||
−0.820470 | + | 0.571689i | \(0.806288\pi\) | |||||||
\(228\) | − | 0.630898i | − | 0.0417822i | ||||||
\(229\) | −3.07838 | −0.203425 | −0.101712 | − | 0.994814i | \(-0.532432\pi\) | ||||
−0.101712 | + | 0.994814i | \(0.532432\pi\) | |||||||
\(230\) | 2.34858 | − | 9.45240i | 0.154861 | − | 0.623273i | ||||
\(231\) | 13.7587 | 0.905258 | ||||||||
\(232\) | − | 12.8722i | − | 0.845100i | ||||||
\(233\) | 18.9360i | 1.24054i | 0.784389 | + | 0.620269i | \(0.212977\pi\) | ||||
−0.784389 | + | 0.620269i | \(0.787023\pi\) | |||||||
\(234\) | 10.8504 | 0.709315 | ||||||||
\(235\) | −12.3896 | − | 3.07838i | −0.808210 | − | 0.200811i | ||||
\(236\) | −1.74313 | −0.113468 | ||||||||
\(237\) | − | 1.57531i | − | 0.102327i | ||||||
\(238\) | − | 2.42469i | − | 0.157170i | ||||||
\(239\) | −6.63809 | −0.429382 | −0.214691 | − | 0.976682i | \(-0.568874\pi\) | ||||
−0.214691 | + | 0.976682i | \(0.568874\pi\) | |||||||
\(240\) | −31.6586 | − | 7.86603i | −2.04355 | − | 0.507750i | ||||
\(241\) | −9.47641 | −0.610429 | −0.305215 | − | 0.952284i | \(-0.598728\pi\) | ||||
−0.305215 | + | 0.952284i | \(0.598728\pi\) | |||||||
\(242\) | 7.00719i | 0.450439i | ||||||||
\(243\) | 23.4524i | 1.50447i | ||||||||
\(244\) | −2.97107 | −0.190203 | ||||||||
\(245\) | 2.19902 | − | 8.85043i | 0.140490 | − | 0.565433i | ||||
\(246\) | 6.15676 | 0.392540 | ||||||||
\(247\) | − | 0.539189i | − | 0.0343078i | ||||||
\(248\) | − | 2.20743i | − | 0.140172i | ||||||
\(249\) | −27.3607 | −1.73391 | ||||||||
\(250\) | 12.8166 | + | 11.4836i | 0.810592 | + | 0.726286i | ||||
\(251\) | 29.4596 | 1.85947 | 0.929736 | − | 0.368226i | \(-0.120035\pi\) | ||||
0.929736 | + | 0.368226i | \(0.120035\pi\) | |||||||
\(252\) | 4.44748i | 0.280165i | ||||||||
\(253\) | − | 7.18568i | − | 0.451760i | ||||||
\(254\) | 27.7165 | 1.73909 | ||||||||
\(255\) | 1.57531 | − | 6.34017i | 0.0986495 | − | 0.397037i | ||||
\(256\) | 8.57531 | 0.535957 | ||||||||
\(257\) | 20.4657i | 1.27662i | 0.769781 | + | 0.638309i | \(0.220366\pi\) | ||||
−0.769781 | + | 0.638309i | \(0.779634\pi\) | |||||||
\(258\) | 31.3835i | 1.95385i | ||||||||
\(259\) | −10.3402 | −0.642507 | ||||||||
\(260\) | 0.800984 | + | 0.199016i | 0.0496749 | + | 0.0123424i | ||||
\(261\) | −36.1483 | −2.23753 | ||||||||
\(262\) | − | 21.9421i | − | 1.35559i | ||||||
\(263\) | 9.14342i | 0.563808i | 0.959443 | + | 0.281904i | \(0.0909659\pi\) | ||||
−0.959443 | + | 0.281904i | \(0.909034\pi\) | |||||||
\(264\) | −20.2062 | −1.24361 | ||||||||
\(265\) | 18.4391 | + | 4.58145i | 1.13270 | + | 0.281436i | ||||
\(266\) | 1.41855 | 0.0869769 | ||||||||
\(267\) | − | 40.6947i | − | 2.49048i | ||||||
\(268\) | 2.90337i | 0.177352i | ||||||||
\(269\) | −11.3919 | −0.694576 | −0.347288 | − | 0.937759i | \(-0.612897\pi\) | ||||
−0.347288 | + | 0.937759i | \(0.612897\pi\) | |||||||
\(270\) | −10.6537 | + | 42.8781i | −0.648363 | + | 2.60948i | ||||
\(271\) | −21.1350 | −1.28386 | −0.641930 | − | 0.766763i | \(-0.721866\pi\) | ||||
−0.641930 | + | 0.766763i | \(0.721866\pi\) | |||||||
\(272\) | 4.24128i | 0.257165i | ||||||||
\(273\) | 5.41855i | 0.327946i | ||||||||
\(274\) | −21.2183 | −1.28185 | ||||||||
\(275\) | 11.2195 | + | 5.94214i | 0.676563 | + | 0.358325i | ||||
\(276\) | 3.31124 | 0.199313 | ||||||||
\(277\) | 13.0784i | 0.785804i | 0.919580 | + | 0.392902i | \(0.128529\pi\) | ||||
−0.919580 | + | 0.392902i | \(0.871471\pi\) | |||||||
\(278\) | − | 10.2413i | − | 0.614231i | ||||||
\(279\) | −6.19902 | −0.371125 | ||||||||
\(280\) | 2.31351 | − | 9.31124i | 0.138259 | − | 0.556453i | ||||
\(281\) | −0.680346 | −0.0405860 | −0.0202930 | − | 0.999794i | \(-0.506460\pi\) | ||||
−0.0202930 | + | 0.999794i | \(0.506460\pi\) | |||||||
\(282\) | − | 27.8576i | − | 1.65890i | ||||||
\(283\) | − | 19.2956i | − | 1.14701i | −0.819203 | − | 0.573504i | \(-0.805584\pi\) | ||
0.819203 | − | 0.573504i | \(-0.194416\pi\) | |||||||
\(284\) | 5.34509 | 0.317173 | ||||||||
\(285\) | 3.70928 | + | 0.921622i | 0.219719 | + | 0.0545922i | ||||
\(286\) | 3.90829 | 0.231102 | ||||||||
\(287\) | 2.15676i | 0.127309i | ||||||||
\(288\) | − | 14.5415i | − | 0.856864i | ||||||
\(289\) | 16.1506 | 0.950036 | ||||||||
\(290\) | −17.1278 | − | 4.25565i | −1.00578 | − | 0.249900i | ||||
\(291\) | 18.7526 | 1.09930 | ||||||||
\(292\) | 0.719953i | 0.0421321i | ||||||||
\(293\) | − | 9.46800i | − | 0.553126i | −0.960996 | − | 0.276563i | \(-0.910804\pi\) | ||
0.960996 | − | 0.276563i | \(-0.0891955\pi\) | |||||||
\(294\) | 19.8999 | 1.16058 | ||||||||
\(295\) | 2.54638 | − | 10.2485i | 0.148256 | − | 0.596689i | ||||
\(296\) | 15.1857 | 0.882650 | ||||||||
\(297\) | 32.5958i | 1.89140i | ||||||||
\(298\) | − | 13.9733i | − | 0.809454i | ||||||
\(299\) | 2.82991 | 0.163658 | ||||||||
\(300\) | −2.73820 | + | 5.17009i | −0.158090 | + | 0.298495i | ||||
\(301\) | −10.9939 | −0.633675 | ||||||||
\(302\) | − | 5.04453i | − | 0.290280i | ||||||
\(303\) | − | 52.1133i | − | 2.99383i | ||||||
\(304\) | −2.48133 | −0.142314 | ||||||||
\(305\) | 4.34017 | − | 17.4680i | 0.248518 | − | 1.00021i | ||||
\(306\) | 10.0000 | 0.571662 | ||||||||
\(307\) | 0.264063i | 0.0150709i | 0.999972 | + | 0.00753543i | \(0.00239862\pi\) | ||||
−0.999972 | + | 0.00753543i | \(0.997601\pi\) | |||||||
\(308\) | 1.60197i | 0.0912806i | ||||||||
\(309\) | 32.3051 | 1.83777 | ||||||||
\(310\) | −2.93722 | − | 0.729794i | −0.166823 | − | 0.0414495i | ||||
\(311\) | 13.0472 | 0.739838 | 0.369919 | − | 0.929064i | \(-0.379385\pi\) | ||||
0.369919 | + | 0.929064i | \(0.379385\pi\) | |||||||
\(312\) | − | 7.95774i | − | 0.450518i | ||||||
\(313\) | − | 33.7009i | − | 1.90489i | −0.304718 | − | 0.952443i | \(-0.598562\pi\) | ||
0.304718 | − | 0.952443i | \(-0.401438\pi\) | |||||||
\(314\) | −19.7587 | −1.11505 | ||||||||
\(315\) | −26.1483 | − | 6.49693i | −1.47329 | − | 0.366060i | ||||
\(316\) | 0.183417 | 0.0103180 | ||||||||
\(317\) | 13.9506i | 0.783541i | 0.920063 | + | 0.391771i | \(0.128137\pi\) | ||||
−0.920063 | + | 0.391771i | \(0.871863\pi\) | |||||||
\(318\) | 41.4596i | 2.32494i | ||||||||
\(319\) | −13.0205 | −0.729009 | ||||||||
\(320\) | −3.25073 | + | 13.0833i | −0.181721 | + | 0.731379i | ||||
\(321\) | 30.9132 | 1.72541 | ||||||||
\(322\) | 7.44521i | 0.414905i | ||||||||
\(323\) | − | 0.496928i | − | 0.0276498i | ||||||
\(324\) | −7.21461 | −0.400812 | ||||||||
\(325\) | −2.34017 | + | 4.41855i | −0.129809 | + | 0.245097i | ||||
\(326\) | 18.5464 | 1.02719 | ||||||||
\(327\) | 53.4596i | 2.95632i | ||||||||
\(328\) | − | 3.16743i | − | 0.174892i | ||||||
\(329\) | 9.75872 | 0.538016 | ||||||||
\(330\) | −6.68035 | + | 26.8865i | −0.367741 | + | 1.48006i | ||||
\(331\) | −18.4547 | −1.01436 | −0.507180 | − | 0.861840i | \(-0.669312\pi\) | ||||
−0.507180 | + | 0.861840i | \(0.669312\pi\) | |||||||
\(332\) | − | 3.18568i | − | 0.174837i | ||||||
\(333\) | − | 42.6453i | − | 2.33695i | ||||||
\(334\) | −13.4368 | −0.735229 | ||||||||
\(335\) | −17.0700 | − | 4.24128i | −0.932632 | − | 0.231726i | ||||
\(336\) | 24.9360 | 1.36037 | ||||||||
\(337\) | 15.8576i | 0.863820i | 0.901917 | + | 0.431910i | \(0.142160\pi\) | ||||
−0.901917 | + | 0.431910i | \(0.857840\pi\) | |||||||
\(338\) | 1.53919i | 0.0837208i | ||||||||
\(339\) | 37.2762 | 2.02456 | ||||||||
\(340\) | 0.738205 | + | 0.183417i | 0.0400348 | + | 0.00994721i | ||||
\(341\) | −2.23287 | −0.120916 | ||||||||
\(342\) | 5.85043i | 0.316355i | ||||||||
\(343\) | 18.9360i | 1.02245i | ||||||||
\(344\) | 16.1457 | 0.870517 | ||||||||
\(345\) | −4.83710 | + | 19.4680i | −0.260421 | + | 1.04812i | ||||
\(346\) | 1.32950 | 0.0714741 | ||||||||
\(347\) | − | 9.72487i | − | 0.522059i | −0.965331 | − | 0.261029i | \(-0.915938\pi\) | ||
0.965331 | − | 0.261029i | \(-0.0840619\pi\) | |||||||
\(348\) | − | 6.00000i | − | 0.321634i | ||||||
\(349\) | 30.9093 | 1.65454 | 0.827269 | − | 0.561805i | \(-0.189893\pi\) | ||||
0.827269 | + | 0.561805i | \(0.189893\pi\) | |||||||
\(350\) | −11.6248 | − | 6.15676i | −0.621369 | − | 0.329092i | ||||
\(351\) | −12.8371 | −0.685194 | ||||||||
\(352\) | − | 5.23779i | − | 0.279175i | ||||||
\(353\) | 5.95055i | 0.316716i | 0.987382 | + | 0.158358i | \(0.0506200\pi\) | ||||
−0.987382 | + | 0.158358i | \(0.949380\pi\) | |||||||
\(354\) | 23.0433 | 1.22474 | ||||||||
\(355\) | −7.80817 | + | 31.4257i | −0.414415 | + | 1.66791i | ||||
\(356\) | 4.73820 | 0.251124 | ||||||||
\(357\) | 4.99386i | 0.264303i | ||||||||
\(358\) | 30.6537i | 1.62010i | ||||||||
\(359\) | −10.9783 | −0.579410 | −0.289705 | − | 0.957116i | \(-0.593557\pi\) | ||||
−0.289705 | + | 0.957116i | \(0.593557\pi\) | |||||||
\(360\) | 38.4017 | + | 9.54146i | 2.02395 | + | 0.502879i | ||||
\(361\) | −18.7093 | −0.984699 | ||||||||
\(362\) | − | 22.1483i | − | 1.16409i | ||||||
\(363\) | − | 14.4319i | − | 0.757477i | ||||||
\(364\) | −0.630898 | −0.0330680 | ||||||||
\(365\) | −4.23287 | − | 1.05172i | −0.221558 | − | 0.0550493i | ||||
\(366\) | 39.2762 | 2.05300 | ||||||||
\(367\) | − | 10.3740i | − | 0.541520i | −0.962647 | − | 0.270760i | \(-0.912725\pi\) | ||
0.962647 | − | 0.270760i | \(-0.0872749\pi\) | |||||||
\(368\) | − | 13.0232i | − | 0.678880i | ||||||
\(369\) | −8.89496 | −0.463053 | ||||||||
\(370\) | 5.02052 | − | 20.2062i | 0.261004 | − | 1.05047i | ||||
\(371\) | −14.5236 | −0.754027 | ||||||||
\(372\) | − | 1.02893i | − | 0.0533475i | ||||||
\(373\) | 23.9877i | 1.24204i | 0.783796 | + | 0.621018i | \(0.213281\pi\) | ||||
−0.783796 | + | 0.621018i | \(0.786719\pi\) | |||||||
\(374\) | 3.60197 | 0.186253 | ||||||||
\(375\) | −26.3968 | − | 23.6514i | −1.36313 | − | 1.22135i | ||||
\(376\) | −14.3318 | −0.739104 | ||||||||
\(377\) | − | 5.12783i | − | 0.264096i | ||||||
\(378\) | − | 33.7731i | − | 1.73710i | ||||||
\(379\) | −29.7575 | −1.52854 | −0.764270 | − | 0.644896i | \(-0.776901\pi\) | ||||
−0.764270 | + | 0.644896i | \(0.776901\pi\) | |||||||
\(380\) | −0.107307 | + | 0.431882i | −0.00550474 | + | 0.0221551i | ||||
\(381\) | −57.0843 | −2.92452 | ||||||||
\(382\) | − | 2.27247i | − | 0.116270i | ||||||
\(383\) | 12.4163i | 0.634442i | 0.948352 | + | 0.317221i | \(0.102750\pi\) | ||||
−0.948352 | + | 0.317221i | \(0.897250\pi\) | |||||||
\(384\) | −42.4957 | −2.16860 | ||||||||
\(385\) | −9.41855 | − | 2.34017i | −0.480014 | − | 0.119266i | ||||
\(386\) | −27.2930 | −1.38918 | ||||||||
\(387\) | − | 45.3412i | − | 2.30482i | ||||||
\(388\) | 2.18342i | 0.110846i | ||||||||
\(389\) | 16.8371 | 0.853675 | 0.426837 | − | 0.904328i | \(-0.359628\pi\) | ||||
0.426837 | + | 0.904328i | \(0.359628\pi\) | |||||||
\(390\) | −10.5886 | − | 2.63090i | −0.536176 | − | 0.133221i | ||||
\(391\) | 2.60811 | 0.131898 | ||||||||
\(392\) | − | 10.2378i | − | 0.517086i | ||||||
\(393\) | 45.1917i | 2.27962i | ||||||||
\(394\) | −3.07838 | −0.155086 | ||||||||
\(395\) | −0.267938 | + | 1.07838i | −0.0134814 | + | 0.0542591i | ||||
\(396\) | −6.60689 | −0.332009 | ||||||||
\(397\) | 3.89269i | 0.195369i | 0.995217 | + | 0.0976843i | \(0.0311436\pi\) | ||||
−0.995217 | + | 0.0976843i | \(0.968856\pi\) | |||||||
\(398\) | − | 8.29914i | − | 0.415998i | ||||||
\(399\) | −2.92162 | −0.146264 | ||||||||
\(400\) | 20.3340 | + | 10.7694i | 1.01670 | + | 0.538470i | ||||
\(401\) | −9.10504 | −0.454684 | −0.227342 | − | 0.973815i | \(-0.573004\pi\) | ||||
−0.227342 | + | 0.973815i | \(0.573004\pi\) | |||||||
\(402\) | − | 38.3812i | − | 1.91428i | ||||||
\(403\) | − | 0.879362i | − | 0.0438041i | ||||||
\(404\) | 6.06770 | 0.301879 | ||||||||
\(405\) | 10.5392 | − | 42.4173i | 0.523697 | − | 2.10773i | ||||
\(406\) | 13.4908 | 0.669536 | ||||||||
\(407\) | − | 15.3607i | − | 0.761401i | ||||||
\(408\) | − | 7.33403i | − | 0.363089i | ||||||
\(409\) | 19.4186 | 0.960186 | 0.480093 | − | 0.877218i | \(-0.340603\pi\) | ||||
0.480093 | + | 0.877218i | \(0.340603\pi\) | |||||||
\(410\) | −4.21461 | − | 1.04718i | −0.208145 | − | 0.0517166i | ||||
\(411\) | 43.7009 | 2.15560 | ||||||||
\(412\) | 3.76138i | 0.185310i | ||||||||
\(413\) | 8.07223i | 0.397209i | ||||||||
\(414\) | −30.7058 | −1.50911 | ||||||||
\(415\) | 18.7298 | + | 4.65368i | 0.919409 | + | 0.228440i | ||||
\(416\) | 2.06278 | 0.101136 | ||||||||
\(417\) | 21.0928i | 1.03292i | ||||||||
\(418\) | 2.10731i | 0.103072i | ||||||||
\(419\) | 16.7792 | 0.819720 | 0.409860 | − | 0.912149i | \(-0.365578\pi\) | ||||
0.409860 | + | 0.912149i | \(0.365578\pi\) | |||||||
\(420\) | 1.07838 | − | 4.34017i | 0.0526194 | − | 0.211779i | ||||
\(421\) | −19.0205 | −0.927003 | −0.463502 | − | 0.886096i | \(-0.653407\pi\) | ||||
−0.463502 | + | 0.886096i | \(0.653407\pi\) | |||||||
\(422\) | 35.0205i | 1.70477i | ||||||||
\(423\) | 40.2472i | 1.95689i | ||||||||
\(424\) | 21.3295 | 1.03585 | ||||||||
\(425\) | −2.15676 | + | 4.07223i | −0.104618 | + | 0.197532i | ||||
\(426\) | −70.6596 | −3.42347 | ||||||||
\(427\) | 13.7587i | 0.665831i | ||||||||
\(428\) | 3.59932i | 0.173979i | ||||||||
\(429\) | −8.04945 | −0.388631 | ||||||||
\(430\) | 5.33791 | − | 21.4836i | 0.257417 | − | 1.03603i | ||||
\(431\) | 8.02997 | 0.386790 | 0.193395 | − | 0.981121i | \(-0.438050\pi\) | ||||
0.193395 | + | 0.981121i | \(0.438050\pi\) | |||||||
\(432\) | 59.0759i | 2.84229i | ||||||||
\(433\) | 13.0472i | 0.627008i | 0.949587 | + | 0.313504i | \(0.101503\pi\) | ||||
−0.949587 | + | 0.313504i | \(0.898497\pi\) | |||||||
\(434\) | 2.31351 | 0.111052 | ||||||||
\(435\) | 35.2762 | + | 8.76487i | 1.69136 | + | 0.420243i | ||||
\(436\) | −6.22446 | −0.298097 | ||||||||
\(437\) | 1.52586i | 0.0729917i | ||||||||
\(438\) | − | 9.51745i | − | 0.454761i | ||||||
\(439\) | 7.70086 | 0.367542 | 0.183771 | − | 0.982969i | \(-0.441169\pi\) | ||||
0.183771 | + | 0.982969i | \(0.441169\pi\) | |||||||
\(440\) | 13.8322 | + | 3.43680i | 0.659423 | + | 0.163843i | ||||
\(441\) | −28.7503 | −1.36906 | ||||||||
\(442\) | 1.41855i | 0.0674736i | ||||||||
\(443\) | 6.39084i | 0.303638i | 0.988408 | + | 0.151819i | \(0.0485131\pi\) | ||||
−0.988408 | + | 0.151819i | \(0.951487\pi\) | |||||||
\(444\) | 7.07838 | 0.335925 | ||||||||
\(445\) | −6.92162 | + | 27.8576i | −0.328116 | + | 1.32058i | ||||
\(446\) | 13.4848 | 0.638525 | ||||||||
\(447\) | 28.7792i | 1.36121i | ||||||||
\(448\) | − | 10.3051i | − | 0.486870i | ||||||
\(449\) | −31.6163 | −1.49207 | −0.746034 | − | 0.665908i | \(-0.768044\pi\) | ||||
−0.746034 | + | 0.665908i | \(0.768044\pi\) | |||||||
\(450\) | 25.3919 | − | 47.9432i | 1.19699 | − | 2.26006i | ||||
\(451\) | −3.20394 | −0.150867 | ||||||||
\(452\) | 4.34017i | 0.204145i | ||||||||
\(453\) | 10.3896i | 0.488147i | ||||||||
\(454\) | 26.5152 | 1.24442 | ||||||||
\(455\) | 0.921622 | − | 3.70928i | 0.0432063 | − | 0.173894i | ||||
\(456\) | 4.29072 | 0.200932 | ||||||||
\(457\) | − | 35.6430i | − | 1.66731i | −0.552286 | − | 0.833655i | \(-0.686244\pi\) | ||
0.552286 | − | 0.833655i | \(-0.313756\pi\) | |||||||
\(458\) | 4.73820i | 0.221402i | ||||||||
\(459\) | −11.8310 | −0.552222 | ||||||||
\(460\) | −2.26672 | − | 0.563198i | −0.105686 | − | 0.0262592i | ||||
\(461\) | −14.9795 | −0.697664 | −0.348832 | − | 0.937185i | \(-0.613422\pi\) | ||||
−0.348832 | + | 0.937185i | \(0.613422\pi\) | |||||||
\(462\) | − | 21.1773i | − | 0.985256i | ||||||
\(463\) | 9.09663i | 0.422756i | 0.977404 | + | 0.211378i | \(0.0677951\pi\) | ||||
−0.977404 | + | 0.211378i | \(0.932205\pi\) | |||||||
\(464\) | −23.5981 | −1.09551 | ||||||||
\(465\) | 6.04945 | + | 1.50307i | 0.280536 | + | 0.0697033i | ||||
\(466\) | 29.1461 | 1.35017 | ||||||||
\(467\) | 1.87709i | 0.0868616i | 0.999056 | + | 0.0434308i | \(0.0138288\pi\) | ||||
−0.999056 | + | 0.0434308i | \(0.986171\pi\) | |||||||
\(468\) | − | 2.60197i | − | 0.120276i | ||||||
\(469\) | 13.4452 | 0.620842 | ||||||||
\(470\) | −4.73820 | + | 19.0700i | −0.218557 | + | 0.879632i | ||||
\(471\) | 40.6947 | 1.87511 | ||||||||
\(472\) | − | 11.8550i | − | 0.545669i | ||||||
\(473\) | − | 16.3318i | − | 0.750935i | ||||||
\(474\) | −2.42469 | −0.111370 | ||||||||
\(475\) | −2.38243 | − | 1.26180i | −0.109314 | − | 0.0578951i | ||||
\(476\) | −0.581449 | −0.0266507 | ||||||||
\(477\) | − | 59.8987i | − | 2.74257i | ||||||
\(478\) | 10.2173i | 0.467327i | ||||||||
\(479\) | 15.7431 | 0.719322 | 0.359661 | − | 0.933083i | \(-0.382892\pi\) | ||||
0.359661 | + | 0.933083i | \(0.382892\pi\) | |||||||
\(480\) | −3.52586 | + | 14.1906i | −0.160933 | + | 0.647710i | ||||
\(481\) | 6.04945 | 0.275831 | ||||||||
\(482\) | 14.5860i | 0.664373i | ||||||||
\(483\) | − | 15.3340i | − | 0.697723i | ||||||
\(484\) | 1.68035 | 0.0763794 | ||||||||
\(485\) | −12.8371 | − | 3.18956i | −0.582903 | − | 0.144830i | ||||
\(486\) | 36.0977 | 1.63742 | ||||||||
\(487\) | 4.94441i | 0.224053i | 0.993705 | + | 0.112026i | \(0.0357341\pi\) | ||||
−0.993705 | + | 0.112026i | \(0.964266\pi\) | |||||||
\(488\) | − | 20.2062i | − | 0.914692i | ||||||
\(489\) | −38.1978 | −1.72736 | ||||||||
\(490\) | −13.6225 | − | 3.38470i | −0.615401 | − | 0.152905i | ||||
\(491\) | 39.4863 | 1.78199 | 0.890995 | − | 0.454014i | \(-0.150008\pi\) | ||||
0.890995 | + | 0.454014i | \(0.150008\pi\) | |||||||
\(492\) | − | 1.47641i | − | 0.0665617i | ||||||
\(493\) | − | 4.72592i | − | 0.212845i | ||||||
\(494\) | −0.829914 | −0.0373396 | ||||||||
\(495\) | 9.65142 | − | 38.8443i | 0.433799 | − | 1.74592i | ||||
\(496\) | −4.04680 | −0.181706 | ||||||||
\(497\) | − | 24.7526i | − | 1.11030i | ||||||
\(498\) | 42.1133i | 1.88714i | ||||||||
\(499\) | −1.67089 | −0.0747993 | −0.0373997 | − | 0.999300i | \(-0.511907\pi\) | ||||
−0.0373997 | + | 0.999300i | \(0.511907\pi\) | |||||||
\(500\) | 2.75380 | − | 3.07346i | 0.123154 | − | 0.137449i | ||||
\(501\) | 27.6742 | 1.23639 | ||||||||
\(502\) | − | 45.3439i | − | 2.02380i | ||||||
\(503\) | − | 9.08557i | − | 0.405105i | −0.979271 | − | 0.202553i | \(-0.935076\pi\) | ||
0.979271 | − | 0.202553i | \(-0.0649237\pi\) | |||||||
\(504\) | −30.2472 | −1.34732 | ||||||||
\(505\) | −8.86376 | + | 35.6742i | −0.394432 | + | 1.58748i | ||||
\(506\) | −11.0601 | −0.491683 | ||||||||
\(507\) | − | 3.17009i | − | 0.140788i | ||||||
\(508\) | − | 6.64650i | − | 0.294891i | ||||||
\(509\) | 19.5441 | 0.866277 | 0.433139 | − | 0.901327i | \(-0.357406\pi\) | ||||
0.433139 | + | 0.901327i | \(0.357406\pi\) | |||||||
\(510\) | −9.75872 | − | 2.42469i | −0.432124 | − | 0.107367i | ||||
\(511\) | 3.33403 | 0.147489 | ||||||||
\(512\) | 13.6114i | 0.601546i | ||||||||
\(513\) | − | 6.92162i | − | 0.305597i | ||||||
\(514\) | 31.5006 | 1.38943 | ||||||||
\(515\) | −22.1145 | − | 5.49466i | −0.974481 | − | 0.242124i | ||||
\(516\) | 7.52586 | 0.331307 | ||||||||
\(517\) | 14.4969i | 0.637574i | ||||||||
\(518\) | 15.9155i | 0.699286i | ||||||||
\(519\) | −2.73820 | −0.120194 | ||||||||
\(520\) | −1.35350 | + | 5.44748i | −0.0593551 | + | 0.238888i | ||||
\(521\) | 6.50534 | 0.285004 | 0.142502 | − | 0.989795i | \(-0.454485\pi\) | ||||
0.142502 | + | 0.989795i | \(0.454485\pi\) | |||||||
\(522\) | 55.6391i | 2.43526i | ||||||||
\(523\) | − | 36.5452i | − | 1.59801i | −0.601326 | − | 0.799004i | \(-0.705361\pi\) | ||
0.601326 | − | 0.799004i | \(-0.294639\pi\) | |||||||
\(524\) | −5.26180 | −0.229863 | ||||||||
\(525\) | 23.9421 | + | 12.6803i | 1.04492 | + | 0.553416i | ||||
\(526\) | 14.0735 | 0.613632 | ||||||||
\(527\) | − | 0.810439i | − | 0.0353033i | ||||||
\(528\) | 37.0433i | 1.61210i | ||||||||
\(529\) | 14.9916 | 0.651808 | ||||||||
\(530\) | 7.05172 | − | 28.3812i | 0.306307 | − | 1.23280i | ||||
\(531\) | −33.2918 | −1.44474 | ||||||||
\(532\) | − | 0.340173i | − | 0.0147484i | ||||||
\(533\) | − | 1.26180i | − | 0.0546544i | ||||||
\(534\) | −62.6369 | −2.71056 | ||||||||
\(535\) | −21.1617 | − | 5.25792i | −0.914899 | − | 0.227320i | ||||
\(536\) | −19.7458 | −0.852888 | ||||||||
\(537\) | − | 63.1338i | − | 2.72442i | ||||||
\(538\) | 17.5343i | 0.755956i | ||||||||
\(539\) | −10.3558 | −0.446055 | ||||||||
\(540\) | 10.2823 | + | 2.55479i | 0.442480 | + | 0.109941i | ||||
\(541\) | 20.3402 | 0.874492 | 0.437246 | − | 0.899342i | \(-0.355954\pi\) | ||||
0.437246 | + | 0.899342i | \(0.355954\pi\) | |||||||
\(542\) | 32.5308i | 1.39732i | ||||||||
\(543\) | 45.6163i | 1.95758i | ||||||||
\(544\) | 1.90110 | 0.0815091 | ||||||||
\(545\) | 9.09275 | − | 36.5958i | 0.389491 | − | 1.56759i | ||||
\(546\) | 8.34017 | 0.356926 | ||||||||
\(547\) | − | 11.5948i | − | 0.495757i | −0.968791 | − | 0.247879i | \(-0.920267\pi\) | ||
0.968791 | − | 0.247879i | \(-0.0797334\pi\) | |||||||
\(548\) | 5.08822i | 0.217358i | ||||||||
\(549\) | −56.7442 | −2.42178 | ||||||||
\(550\) | 9.14608 | − | 17.2690i | 0.389990 | − | 0.736352i | ||||
\(551\) | 2.76487 | 0.117787 | ||||||||
\(552\) | 22.5197i | 0.958503i | ||||||||
\(553\) | − | 0.849388i | − | 0.0361196i | ||||||
\(554\) | 20.1301 | 0.855246 | ||||||||
\(555\) | −10.3402 | + | 41.6163i | −0.438916 | + | 1.76652i | ||||
\(556\) | −2.45589 | −0.104153 | ||||||||
\(557\) | 10.7298i | 0.454636i | 0.973821 | + | 0.227318i | \(0.0729957\pi\) | ||||
−0.973821 | + | 0.227318i | \(0.927004\pi\) | |||||||
\(558\) | 9.54146i | 0.403922i | ||||||||
\(559\) | 6.43188 | 0.272040 | ||||||||
\(560\) | −17.0700 | − | 4.24128i | −0.721338 | − | 0.179227i | ||||
\(561\) | −7.41855 | −0.313211 | ||||||||
\(562\) | 1.04718i | 0.0441727i | ||||||||
\(563\) | − | 10.2485i | − | 0.431921i | −0.976402 | − | 0.215961i | \(-0.930712\pi\) | ||
0.976402 | − | 0.215961i | \(-0.0692883\pi\) | |||||||
\(564\) | −6.68035 | −0.281293 | ||||||||
\(565\) | −25.5174 | − | 6.34017i | −1.07353 | − | 0.266733i | ||||
\(566\) | −29.6996 | −1.24837 | ||||||||
\(567\) | 33.4101i | 1.40309i | ||||||||
\(568\) | 36.3519i | 1.52529i | ||||||||
\(569\) | 8.84551 | 0.370823 | 0.185412 | − | 0.982661i | \(-0.440638\pi\) | ||||
0.185412 | + | 0.982661i | \(0.440638\pi\) | |||||||
\(570\) | 1.41855 | − | 5.70928i | 0.0594166 | − | 0.239135i | ||||
\(571\) | 9.29299 | 0.388900 | 0.194450 | − | 0.980912i | \(-0.437708\pi\) | ||||
0.194450 | + | 0.980912i | \(0.437708\pi\) | |||||||
\(572\) | − | 0.937221i | − | 0.0391872i | ||||||
\(573\) | 4.68035i | 0.195524i | ||||||||
\(574\) | 3.31965 | 0.138560 | ||||||||
\(575\) | 6.62249 | − | 12.5041i | 0.276177 | − | 0.521458i | ||||
\(576\) | 42.5006 | 1.77086 | ||||||||
\(577\) | − | 19.5259i | − | 0.812872i | −0.913679 | − | 0.406436i | \(-0.866771\pi\) | ||
0.913679 | − | 0.406436i | \(-0.133229\pi\) | |||||||
\(578\) | − | 24.8588i | − | 1.03399i | ||||||
\(579\) | 56.2122 | 2.33610 | ||||||||
\(580\) | −1.02052 | + | 4.10731i | −0.0423747 | + | 0.170547i | ||||
\(581\) | −14.7526 | −0.612040 | ||||||||
\(582\) | − | 28.8638i | − | 1.19644i | ||||||
\(583\) | − | 21.5753i | − | 0.893558i | ||||||
\(584\) | −4.89639 | −0.202614 | ||||||||
\(585\) | 15.2979 | + | 3.80098i | 0.632491 | + | 0.157151i | ||||
\(586\) | −14.5730 | −0.602007 | ||||||||
\(587\) | 22.5029i | 0.928794i | 0.885627 | + | 0.464397i | \(0.153729\pi\) | ||||
−0.885627 | + | 0.464397i | \(0.846271\pi\) | |||||||
\(588\) | − | 4.77205i | − | 0.196796i | ||||||
\(589\) | 0.474142 | 0.0195367 | ||||||||
\(590\) | −15.7743 | − | 3.91935i | −0.649419 | − | 0.161357i | ||||
\(591\) | 6.34017 | 0.260800 | ||||||||
\(592\) | − | 27.8394i | − | 1.14419i | ||||||
\(593\) | − | 4.43907i | − | 0.182291i | −0.995838 | − | 0.0911454i | \(-0.970947\pi\) | ||
0.995838 | − | 0.0911454i | \(-0.0290528\pi\) | |||||||
\(594\) | 50.1711 | 2.05855 | ||||||||
\(595\) | 0.849388 | − | 3.41855i | 0.0348215 | − | 0.140147i | ||||
\(596\) | −3.35085 | −0.137256 | ||||||||
\(597\) | 17.0928i | 0.699560i | ||||||||
\(598\) | − | 4.35577i | − | 0.178121i | ||||||
\(599\) | −33.3607 | −1.36308 | −0.681540 | − | 0.731780i | \(-0.738690\pi\) | ||||
−0.681540 | + | 0.731780i | \(0.738690\pi\) | |||||||
\(600\) | −35.1617 | − | 18.6225i | −1.43547 | − | 0.760260i | ||||
\(601\) | 13.3197 | 0.543320 | 0.271660 | − | 0.962393i | \(-0.412427\pi\) | ||||
0.271660 | + | 0.962393i | \(0.412427\pi\) | |||||||
\(602\) | 16.9216i | 0.689674i | ||||||||
\(603\) | 55.4512i | 2.25815i | ||||||||
\(604\) | −1.20969 | −0.0492217 | ||||||||
\(605\) | −2.45467 | + | 9.87936i | −0.0997964 | + | 0.401653i | ||||
\(606\) | −80.2122 | −3.25840 | ||||||||
\(607\) | 14.1184i | 0.573047i | 0.958073 | + | 0.286523i | \(0.0924996\pi\) | ||||
−0.958073 | + | 0.286523i | \(0.907500\pi\) | |||||||
\(608\) | 1.11223i | 0.0451068i | ||||||||
\(609\) | −27.7854 | −1.12592 | ||||||||
\(610\) | −26.8865 | − | 6.68035i | −1.08860 | − | 0.270479i | ||||
\(611\) | −5.70928 | −0.230973 | ||||||||
\(612\) | − | 2.39803i | − | 0.0969347i | ||||||
\(613\) | 26.8104i | 1.08286i | 0.840745 | + | 0.541432i | \(0.182118\pi\) | ||||
−0.840745 | + | 0.541432i | \(0.817882\pi\) | |||||||
\(614\) | 0.406442 | 0.0164027 | ||||||||
\(615\) | 8.68035 | + | 2.15676i | 0.350025 | + | 0.0869688i | ||||
\(616\) | −10.8950 | −0.438970 | ||||||||
\(617\) | 14.8950i | 0.599649i | 0.953994 | + | 0.299824i | \(0.0969280\pi\) | ||||
−0.953994 | + | 0.299824i | \(0.903072\pi\) | |||||||
\(618\) | − | 49.7237i | − | 2.00018i | ||||||
\(619\) | −45.3184 | −1.82150 | −0.910751 | − | 0.412956i | \(-0.864496\pi\) | ||||
−0.910751 | + | 0.412956i | \(0.864496\pi\) | |||||||
\(620\) | −0.175007 | + | 0.704355i | −0.00702845 | + | 0.0282876i | ||||
\(621\) | 36.3279 | 1.45779 | ||||||||
\(622\) | − | 20.0821i | − | 0.805218i | ||||||
\(623\) | − | 21.9421i | − | 0.879093i | ||||||
\(624\) | −14.5886 | −0.584013 | ||||||||
\(625\) | 14.0472 | + | 20.6803i | 0.561887 | + | 0.827214i | ||||
\(626\) | −51.8720 | −2.07322 | ||||||||
\(627\) | − | 4.34017i | − | 0.173330i | ||||||
\(628\) | 4.73820i | 0.189075i | ||||||||
\(629\) | 5.57531 | 0.222302 | ||||||||
\(630\) | −10.0000 | + | 40.2472i | −0.398410 | + | 1.60349i | ||||
\(631\) | 37.8876 | 1.50828 | 0.754141 | − | 0.656713i | \(-0.228054\pi\) | ||||
0.754141 | + | 0.656713i | \(0.228054\pi\) | |||||||
\(632\) | 1.24742i | 0.0496197i | ||||||||
\(633\) | − | 72.1276i | − | 2.86682i | ||||||
\(634\) | 21.4725 | 0.852783 | ||||||||
\(635\) | 39.0772 | + | 9.70928i | 1.55073 | + | 0.385301i | ||||
\(636\) | 9.94214 | 0.394232 | ||||||||
\(637\) | − | 4.07838i | − | 0.161591i | ||||||
\(638\) | 20.0410i | 0.793432i | ||||||||
\(639\) | 102.085 | 4.03844 | ||||||||
\(640\) | 29.0905 | + | 7.22795i | 1.14990 | + | 0.285710i | ||||
\(641\) | −8.47027 | −0.334555 | −0.167278 | − | 0.985910i | \(-0.553498\pi\) | ||||
−0.167278 | + | 0.985910i | \(0.553498\pi\) | |||||||
\(642\) | − | 47.5813i | − | 1.87788i | ||||||
\(643\) | − | 34.1750i | − | 1.34773i | −0.738854 | − | 0.673865i | \(-0.764633\pi\) | ||
0.738854 | − | 0.673865i | \(-0.235367\pi\) | |||||||
\(644\) | 1.78539 | 0.0703541 | ||||||||
\(645\) | −10.9939 | + | 44.2472i | −0.432883 | + | 1.74223i | ||||
\(646\) | −0.764867 | −0.0300933 | ||||||||
\(647\) | − | 13.8238i | − | 0.543468i | −0.962372 | − | 0.271734i | \(-0.912403\pi\) | ||
0.962372 | − | 0.271734i | \(-0.0875972\pi\) | |||||||
\(648\) | − | 49.0665i | − | 1.92751i | ||||||
\(649\) | −11.9916 | −0.470711 | ||||||||
\(650\) | 6.80098 | + | 3.60197i | 0.266757 | + | 0.141281i | ||||
\(651\) | −4.76487 | −0.186750 | ||||||||
\(652\) | − | 4.44748i | − | 0.174177i | ||||||
\(653\) | 42.8781i | 1.67795i | 0.544169 | + | 0.838976i | \(0.316845\pi\) | ||||
−0.544169 | + | 0.838976i | \(0.683155\pi\) | |||||||
\(654\) | 82.2844 | 3.21757 | ||||||||
\(655\) | 7.68649 | − | 30.9360i | 0.300336 | − | 1.20877i | ||||
\(656\) | −5.80674 | −0.226715 | ||||||||
\(657\) | 13.7503i | 0.536451i | ||||||||
\(658\) | − | 15.0205i | − | 0.585561i | ||||||
\(659\) | 23.2495 | 0.905672 | 0.452836 | − | 0.891594i | \(-0.350412\pi\) | ||||
0.452836 | + | 0.891594i | \(0.350412\pi\) | |||||||
\(660\) | 6.44748 | + | 1.60197i | 0.250968 | + | 0.0623565i | ||||
\(661\) | 27.0661 | 1.05275 | 0.526374 | − | 0.850253i | \(-0.323551\pi\) | ||||
0.526374 | + | 0.850253i | \(0.323551\pi\) | |||||||
\(662\) | 28.4052i | 1.10400i | ||||||||
\(663\) | − | 2.92162i | − | 0.113466i | ||||||
\(664\) | 21.6658 | 0.840796 | ||||||||
\(665\) | 2.00000 | + | 0.496928i | 0.0775567 | + | 0.0192701i | ||||
\(666\) | −65.6391 | −2.54346 | ||||||||
\(667\) | 14.5113i | 0.561880i | ||||||||
\(668\) | 3.22219i | 0.124670i | ||||||||
\(669\) | −27.7731 | −1.07377 | ||||||||
\(670\) | −6.52813 | + | 26.2739i | −0.252203 | + | 1.01505i | ||||
\(671\) | −20.4391 | −0.789042 | ||||||||
\(672\) | − | 11.1773i | − | 0.431173i | ||||||
\(673\) | − | 16.1711i | − | 0.623351i | −0.950189 | − | 0.311676i | \(-0.899110\pi\) | ||
0.950189 | − | 0.311676i | \(-0.100890\pi\) | |||||||
\(674\) | 24.4079 | 0.940156 | ||||||||
\(675\) | −30.0410 | + | 56.7214i | −1.15628 | + | 2.18321i | ||||
\(676\) | 0.369102 | 0.0141962 | ||||||||
\(677\) | 43.1194i | 1.65721i | 0.559831 | + | 0.828607i | \(0.310866\pi\) | ||||
−0.559831 | + | 0.828607i | \(0.689134\pi\) | |||||||
\(678\) | − | 57.3751i | − | 2.20348i | ||||||
\(679\) | 10.1112 | 0.388032 | ||||||||
\(680\) | −1.24742 | + | 5.02052i | −0.0478363 | + | 0.192528i | ||||
\(681\) | −54.6102 | −2.09267 | ||||||||
\(682\) | 3.43680i | 0.131602i | ||||||||
\(683\) | 17.7093i | 0.677627i | 0.940854 | + | 0.338813i | \(0.110026\pi\) | ||||
−0.940854 | + | 0.338813i | \(0.889974\pi\) | |||||||
\(684\) | 1.40295 | 0.0536432 | ||||||||
\(685\) | −29.9155 | − | 7.43293i | −1.14301 | − | 0.283998i | ||||
\(686\) | 29.1461 | 1.11280 | ||||||||
\(687\) | − | 9.75872i | − | 0.372319i | ||||||
\(688\) | − | 29.5993i | − | 1.12846i | ||||||
\(689\) | 8.49693 | 0.323707 | ||||||||
\(690\) | 29.9649 | + | 7.44521i | 1.14075 | + | 0.283434i | ||||
\(691\) | −24.8794 | −0.946456 | −0.473228 | − | 0.880940i | \(-0.656911\pi\) | ||||
−0.473228 | + | 0.880940i | \(0.656911\pi\) | |||||||
\(692\) | − | 0.318817i | − | 0.0121196i | ||||||
\(693\) | 30.5958i | 1.16224i | ||||||||
\(694\) | −14.9684 | −0.568193 | ||||||||
\(695\) | 3.58759 | − | 14.4391i | 0.136085 | − | 0.547705i | ||||
\(696\) | 40.8059 | 1.54674 | ||||||||
\(697\) | − | 1.16290i | − | 0.0440479i | ||||||
\(698\) | − | 47.5753i | − | 1.80075i | ||||||
\(699\) | −60.0288 | −2.27050 | ||||||||
\(700\) | −1.47641 | + | 2.78765i | −0.0558030 | + | 0.105363i | ||||
\(701\) | 33.0661 | 1.24889 | 0.624445 | − | 0.781069i | \(-0.285325\pi\) | ||||
0.624445 | + | 0.781069i | \(0.285325\pi\) | |||||||
\(702\) | 19.7587i | 0.745745i | ||||||||
\(703\) | 3.26180i | 0.123021i | ||||||||
\(704\) | 15.3086 | 0.576964 | ||||||||
\(705\) | 9.75872 | − | 39.2762i | 0.367535 | − | 1.47923i | ||||
\(706\) | 9.15902 | 0.344704 | ||||||||
\(707\) | − | 28.0989i | − | 1.05677i | ||||||
\(708\) | − | 5.52586i | − | 0.207674i | ||||||
\(709\) | −2.18342 | −0.0820000 | −0.0410000 | − | 0.999159i | \(-0.513054\pi\) | ||||
−0.0410000 | + | 0.999159i | \(0.513054\pi\) | |||||||
\(710\) | 48.3701 | + | 12.0183i | 1.81530 | + | 0.451037i | ||||
\(711\) | 3.50307 | 0.131375 | ||||||||
\(712\) | 32.2245i | 1.20766i | ||||||||
\(713\) | 2.48852i | 0.0931957i | ||||||||
\(714\) | 7.68649 | 0.287660 | ||||||||
\(715\) | 5.51026 | + | 1.36910i | 0.206072 | + | 0.0512015i | ||||
\(716\) | 7.35085 | 0.274714 | ||||||||
\(717\) | − | 21.0433i | − | 0.785877i | ||||||
\(718\) | 16.8976i | 0.630613i | ||||||||
\(719\) | −5.20847 | −0.194243 | −0.0971216 | − | 0.995273i | \(-0.530964\pi\) | ||||
−0.0971216 | + | 0.995273i | \(0.530964\pi\) | |||||||
\(720\) | 17.4920 | − | 70.4005i | 0.651889 | − | 2.62367i | ||||
\(721\) | 17.4186 | 0.648701 | ||||||||
\(722\) | 28.7971i | 1.07172i | ||||||||
\(723\) | − | 30.0410i | − | 1.11724i | ||||||
\(724\) | −5.31124 | −0.197391 | ||||||||
\(725\) | −22.6576 | − | 12.0000i | −0.841481 | − | 0.445669i | ||||
\(726\) | −22.2134 | −0.824416 | ||||||||
\(727\) | − | 3.52464i | − | 0.130721i | −0.997862 | − | 0.0653607i | \(-0.979180\pi\) | ||
0.997862 | − | 0.0653607i | \(-0.0208198\pi\) | |||||||
\(728\) | − | 4.29072i | − | 0.159025i | ||||||
\(729\) | −15.7070 | −0.581741 | ||||||||
\(730\) | −1.61879 | + | 6.51518i | −0.0599141 | + | 0.241138i | ||||
\(731\) | 5.92777 | 0.219246 | ||||||||
\(732\) | − | 9.41855i | − | 0.348120i | ||||||
\(733\) | 21.8310i | 0.806345i | 0.915124 | + | 0.403172i | \(0.132093\pi\) | ||||
−0.915124 | + | 0.403172i | \(0.867907\pi\) | |||||||
\(734\) | −15.9676 | −0.589374 | ||||||||
\(735\) | 28.0566 | + | 6.97107i | 1.03488 | + | 0.257132i | ||||
\(736\) | −5.83749 | −0.215173 | ||||||||
\(737\) | 19.9733i | 0.735727i | ||||||||
\(738\) | 13.6910i | 0.503974i | ||||||||
\(739\) | −50.3533 | −1.85228 | −0.926139 | − | 0.377184i | \(-0.876893\pi\) | ||||
−0.926139 | + | 0.377184i | \(0.876893\pi\) | |||||||
\(740\) | −4.84551 | − | 1.20394i | −0.178125 | − | 0.0442576i | ||||
\(741\) | 1.70928 | 0.0627918 | ||||||||
\(742\) | 22.3545i | 0.820661i | ||||||||
\(743\) | − | 30.7877i | − | 1.12949i | −0.825266 | − | 0.564745i | \(-0.808975\pi\) | ||
0.825266 | − | 0.564745i | \(-0.191025\pi\) | |||||||
\(744\) | 6.99773 | 0.256549 | ||||||||
\(745\) | 4.89496 | − | 19.7009i | 0.179337 | − | 0.721784i | ||||
\(746\) | 36.9216 | 1.35180 | ||||||||
\(747\) | − | 60.8431i | − | 2.22613i | ||||||
\(748\) | − | 0.863763i | − | 0.0315823i | ||||||
\(749\) | 16.6681 | 0.609038 | ||||||||
\(750\) | −36.4040 | + | 40.6297i | −1.32929 | + | 1.48359i | ||||
\(751\) | −10.6225 | −0.387620 | −0.193810 | − | 0.981039i | \(-0.562085\pi\) | ||||
−0.193810 | + | 0.981039i | \(0.562085\pi\) | |||||||
\(752\) | 26.2739i | 0.958111i | ||||||||
\(753\) | 93.3894i | 3.40330i | ||||||||
\(754\) | −7.89269 | −0.287435 | ||||||||
\(755\) | 1.76713 | − | 7.11223i | 0.0643126 | − | 0.258840i | ||||
\(756\) | −8.09890 | −0.294554 | ||||||||
\(757\) | − | 7.98562i | − | 0.290242i | −0.989414 | − | 0.145121i | \(-0.953643\pi\) | ||
0.989414 | − | 0.145121i | \(-0.0463572\pi\) | |||||||
\(758\) | 45.8024i | 1.66362i | ||||||||
\(759\) | 22.7792 | 0.826834 | ||||||||
\(760\) | −2.93722 | − | 0.729794i | −0.106544 | − | 0.0264724i | ||||
\(761\) | −48.9360 | −1.77393 | −0.886964 | − | 0.461838i | \(-0.847190\pi\) | ||||
−0.886964 | + | 0.461838i | \(0.847190\pi\) | |||||||
\(762\) | 87.8636i | 3.18296i | ||||||||
\(763\) | 28.8248i | 1.04353i | ||||||||
\(764\) | −0.544946 | −0.0197155 | ||||||||
\(765\) | 14.0989 | + | 3.50307i | 0.509747 | + | 0.126654i | ||||
\(766\) | 19.1110 | 0.690509 | ||||||||
\(767\) | − | 4.72261i | − | 0.170523i | ||||||
\(768\) | 27.1845i | 0.980935i | ||||||||
\(769\) | 7.99547 | 0.288324 | 0.144162 | − | 0.989554i | \(-0.453951\pi\) | ||||
0.144162 | + | 0.989554i | \(0.453951\pi\) | |||||||
\(770\) | −3.60197 | + | 14.4969i | −0.129806 | + | 0.522433i | ||||
\(771\) | −64.8781 | −2.33653 | ||||||||
\(772\) | 6.54495i | 0.235558i | ||||||||
\(773\) | − | 26.6141i | − | 0.957242i | −0.878022 | − | 0.478621i | \(-0.841137\pi\) | ||
0.878022 | − | 0.478621i | \(-0.158863\pi\) | |||||||
\(774\) | −69.7887 | −2.50850 | ||||||||
\(775\) | −3.88550 | − | 2.05786i | −0.139571 | − | 0.0739205i | ||||
\(776\) | −14.8494 | −0.533062 | ||||||||
\(777\) | − | 32.7792i | − | 1.17595i | ||||||
\(778\) | − | 25.9155i | − | 0.929115i | ||||||
\(779\) | 0.680346 | 0.0243759 | ||||||||
\(780\) | −0.630898 | + | 2.53919i | −0.0225898 | + | 0.0909175i | ||||
\(781\) | 36.7708 | 1.31576 | ||||||||
\(782\) | − | 4.01438i | − | 0.143554i | ||||||
\(783\) | − | 65.8264i | − | 2.35244i | ||||||
\(784\) | −18.7686 | −0.670306 | ||||||||
\(785\) | −27.8576 | − | 6.92162i | −0.994281 | − | 0.247043i | ||||
\(786\) | 69.5585 | 2.48107 | ||||||||
\(787\) | 9.25792i | 0.330009i | 0.986293 | + | 0.165005i | \(0.0527639\pi\) | ||||
−0.986293 | + | 0.165005i | \(0.947236\pi\) | |||||||
\(788\) | 0.738205i | 0.0262975i | ||||||||
\(789\) | −28.9854 | −1.03191 | ||||||||
\(790\) | 1.65983 | + | 0.412408i | 0.0590540 | + | 0.0146728i | ||||
\(791\) | 20.0989 | 0.714634 | ||||||||
\(792\) | − | 44.9333i | − | 1.59664i | ||||||
\(793\) | − | 8.04945i | − | 0.285844i | ||||||
\(794\) | 5.99159 | 0.212634 | ||||||||
\(795\) | −14.5236 | + | 58.4534i | −0.515099 | + | 2.07313i | ||||
\(796\) | −1.99016 | −0.0705393 | ||||||||
\(797\) | 15.9421i | 0.564700i | 0.959312 | + | 0.282350i | \(0.0911139\pi\) | ||||
−0.959312 | + | 0.282350i | \(0.908886\pi\) | |||||||
\(798\) | 4.49693i | 0.159190i | ||||||||
\(799\) | −5.26180 | −0.186149 | ||||||||
\(800\) | 4.82726 | − | 9.11450i | 0.170669 | − | 0.322246i | ||||
\(801\) | 90.4945 | 3.19747 | ||||||||
\(802\) | 14.0144i | 0.494865i | ||||||||
\(803\) | 4.95282i | 0.174781i | ||||||||
\(804\) | −9.20394 | −0.324598 | ||||||||
\(805\) | −2.60811 | + | 10.4969i | −0.0919238 | + | 0.369968i | ||||
\(806\) | −1.35350 | −0.0476751 | ||||||||
\(807\) | − | 36.1133i | − | 1.27125i | ||||||
\(808\) | 41.2663i | 1.45174i | ||||||||
\(809\) | −17.9239 | −0.630170 | −0.315085 | − | 0.949063i | \(-0.602033\pi\) | ||||
−0.315085 | + | 0.949063i | \(0.602033\pi\) | |||||||
\(810\) | −65.2883 | − | 16.2218i | −2.29400 | − | 0.569976i | ||||
\(811\) | 7.43415 | 0.261048 | 0.130524 | − | 0.991445i | \(-0.458334\pi\) | ||||
0.130524 | + | 0.991445i | \(0.458334\pi\) | |||||||
\(812\) | − | 3.23513i | − | 0.113531i | ||||||
\(813\) | − | 66.9998i | − | 2.34979i | ||||||
\(814\) | −23.6430 | −0.828687 | ||||||||
\(815\) | 26.1483 | + | 6.49693i | 0.915937 | + | 0.227577i | ||||
\(816\) | −13.4452 | −0.470677 | ||||||||
\(817\) | 3.46800i | 0.121330i | ||||||||
\(818\) | − | 29.8888i | − | 1.04504i | ||||||
\(819\) | −12.0494 | −0.421042 | ||||||||
\(820\) | −0.251117 | + | 1.01068i | −0.00876940 | + | 0.0352944i | ||||
\(821\) | 20.4801 | 0.714761 | 0.357380 | − | 0.933959i | \(-0.383670\pi\) | ||||
0.357380 | + | 0.933959i | \(0.383670\pi\) | |||||||
\(822\) | − | 67.2639i | − | 2.34610i | ||||||
\(823\) | 3.75154i | 0.130770i | 0.997860 | + | 0.0653852i | \(0.0208276\pi\) | ||||
−0.997860 | + | 0.0653852i | \(0.979172\pi\) | |||||||
\(824\) | −25.5811 | −0.891159 | ||||||||
\(825\) | −18.8371 | + | 35.5669i | −0.655824 | + | 1.23828i | ||||
\(826\) | 12.4247 | 0.432310 | ||||||||
\(827\) | − | 48.1483i | − | 1.67428i | −0.546987 | − | 0.837141i | \(-0.684225\pi\) | ||
0.546987 | − | 0.837141i | \(-0.315775\pi\) | |||||||
\(828\) | 7.36334i | 0.255894i | ||||||||
\(829\) | −36.5608 | −1.26981 | −0.634904 | − | 0.772591i | \(-0.718960\pi\) | ||||
−0.634904 | + | 0.772591i | \(0.718960\pi\) | |||||||
\(830\) | 7.16290 | − | 28.8287i | 0.248628 | − | 1.00066i | ||||
\(831\) | −41.4596 | −1.43822 | ||||||||
\(832\) | 6.02893i | 0.209016i | ||||||||
\(833\) | − | 3.75872i | − | 0.130232i | ||||||
\(834\) | 32.4657 | 1.12420 | ||||||||
\(835\) | −18.9444 | − | 4.70701i | −0.655598 | − | 0.162893i | ||||
\(836\) | 0.505339 | 0.0174775 | ||||||||
\(837\) | − | 11.2885i | − | 0.390186i | ||||||
\(838\) | − | 25.8264i | − | 0.892159i | ||||||
\(839\) | −45.2294 | −1.56149 | −0.780746 | − | 0.624849i | \(-0.785161\pi\) | ||||
−0.780746 | + | 0.624849i | \(0.785161\pi\) | |||||||
\(840\) | 29.5174 | + | 7.33403i | 1.01845 | + | 0.253048i | ||||
\(841\) | −2.70540 | −0.0932896 | ||||||||
\(842\) | 29.2762i | 1.00892i | ||||||||
\(843\) | − | 2.15676i | − | 0.0742826i | ||||||
\(844\) | 8.39803 | 0.289072 | ||||||||
\(845\) | −0.539189 | + | 2.17009i | −0.0185487 | + | 0.0746532i | ||||
\(846\) | 61.9481 | 2.12982 | ||||||||
\(847\) | − | 7.78151i | − | 0.267376i | ||||||
\(848\) | − | 39.1026i | − | 1.34279i | ||||||
\(849\) | 61.1689 | 2.09931 | ||||||||
\(850\) | 6.26794 | + | 3.31965i | 0.214989 | + | 0.113863i | ||||
\(851\) | −17.1194 | −0.586846 | ||||||||
\(852\) | 16.9444i | 0.580506i | ||||||||
\(853\) | 37.2534i | 1.27553i | 0.770230 | + | 0.637766i | \(0.220141\pi\) | ||||
−0.770230 | + | 0.637766i | \(0.779859\pi\) | |||||||
\(854\) | 21.1773 | 0.724671 | ||||||||
\(855\) | −2.04945 | + | 8.24846i | −0.0700897 | + | 0.282092i | ||||
\(856\) | −24.4789 | −0.836671 | ||||||||
\(857\) | 10.8371i | 0.370188i | 0.982721 | + | 0.185094i | \(0.0592590\pi\) | ||||
−0.982721 | + | 0.185094i | \(0.940741\pi\) | |||||||
\(858\) | 12.3896i | 0.422975i | ||||||||
\(859\) | −14.6081 | −0.498422 | −0.249211 | − | 0.968449i | \(-0.580171\pi\) | ||||
−0.249211 | + | 0.968449i | \(0.580171\pi\) | |||||||
\(860\) | −5.15183 | − | 1.28005i | −0.175676 | − | 0.0436492i | ||||
\(861\) | −6.83710 | −0.233008 | ||||||||
\(862\) | − | 12.3596i | − | 0.420971i | ||||||
\(863\) | 10.3440i | 0.352116i | 0.984380 | + | 0.176058i | \(0.0563345\pi\) | ||||
−0.984380 | + | 0.176058i | \(0.943665\pi\) | |||||||
\(864\) | 26.4801 | 0.900872 | ||||||||
\(865\) | 1.87444 | + | 0.465732i | 0.0637329 | + | 0.0158354i | ||||
\(866\) | 20.0821 | 0.682417 | ||||||||
\(867\) | 51.1988i | 1.73880i | ||||||||
\(868\) | − | 0.554787i | − | 0.0188307i | ||||||
\(869\) | 1.26180 | 0.0428035 | ||||||||
\(870\) | 13.4908 | − | 54.2967i | 0.457380 | − | 1.84083i | ||||
\(871\) | −7.86603 | −0.266530 | ||||||||
\(872\) | − | 42.3324i | − | 1.43356i | ||||||
\(873\) | 41.7009i | 1.41136i | ||||||||
\(874\) | 2.34858 | 0.0794420 | ||||||||
\(875\) | −14.2329 | − | 12.7526i | −0.481159 | − | 0.431116i | ||||
\(876\) | −2.28231 | −0.0771122 | ||||||||
\(877\) | 38.0677i | 1.28545i | 0.766095 | + | 0.642727i | \(0.222197\pi\) | ||||
−0.766095 | + | 0.642727i | \(0.777803\pi\) | |||||||
\(878\) | − | 11.8531i | − | 0.400022i | ||||||
\(879\) | 30.0144 | 1.01236 | ||||||||
\(880\) | 6.30057 | − | 25.3580i | 0.212392 | − | 0.854819i | ||||
\(881\) | 12.0494 | 0.405956 | 0.202978 | − | 0.979183i | \(-0.434938\pi\) | ||||
0.202978 | + | 0.979183i | \(0.434938\pi\) | |||||||
\(882\) | 44.2522i | 1.49005i | ||||||||
\(883\) | 0.320699i | 0.0107924i | 0.999985 | + | 0.00539619i | \(0.00171767\pi\) | ||||
−0.999985 | + | 0.00539619i | \(0.998282\pi\) | |||||||
\(884\) | 0.340173 | 0.0114413 | ||||||||
\(885\) | 32.4885 | + | 8.07223i | 1.09209 | + | 0.271345i | ||||
\(886\) | 9.83672 | 0.330471 | ||||||||
\(887\) | 3.62144i | 0.121596i | 0.998150 | + | 0.0607981i | \(0.0193646\pi\) | ||||
−0.998150 | + | 0.0607981i | \(0.980635\pi\) | |||||||
\(888\) | 48.1399i | 1.61547i | ||||||||
\(889\) | −30.7792 | −1.03230 | ||||||||
\(890\) | 42.8781 | + | 10.6537i | 1.43728 | + | 0.357112i | ||||
\(891\) | −49.6319 | −1.66273 | ||||||||
\(892\) | − | 3.23370i | − | 0.108272i | ||||||
\(893\) | − | 3.07838i | − | 0.103014i | ||||||
\(894\) | 44.2967 | 1.48150 | ||||||||
\(895\) | −10.7382 | + | 43.2183i | −0.358939 | + | 1.44463i | ||||
\(896\) | −22.9132 | −0.765477 | ||||||||
\(897\) | 8.97107i | 0.299535i | ||||||||
\(898\) | 48.6635i | 1.62392i | ||||||||
\(899\) | 4.50921 | 0.150391 | ||||||||
\(900\) | −11.4969 | − | 6.08906i | −0.383231 | − | 0.202969i | ||||
\(901\) | 7.83096 | 0.260887 | ||||||||
\(902\) | 4.93146i | 0.164200i | ||||||||
\(903\) | − | 34.8515i | − | 1.15978i | ||||||
\(904\) | −29.5174 | −0.981736 | ||||||||
\(905\) | 7.75872 | − | 31.2267i | 0.257909 | − | 1.03801i | ||||
\(906\) | 15.9916 | 0.531285 | ||||||||
\(907\) | 10.9333i | 0.363036i | 0.983388 | + | 0.181518i | \(0.0581010\pi\) | ||||
−0.983388 | + | 0.181518i | \(0.941899\pi\) | |||||||
\(908\) | − | 6.35842i | − | 0.211012i | ||||||
\(909\) | 115.886 | 3.84371 | ||||||||
\(910\) | −5.70928 | − | 1.41855i | −0.189261 | − | 0.0470245i | ||||
\(911\) | −37.5897 | −1.24540 | −0.622701 | − | 0.782460i | \(-0.713965\pi\) | ||||
−0.622701 | + | 0.782460i | \(0.713965\pi\) | |||||||
\(912\) | − | 7.86603i | − | 0.260470i | ||||||
\(913\) | − | 21.9155i | − | 0.725297i | ||||||
\(914\) | −54.8613 | −1.81465 | ||||||||
\(915\) | 55.3751 | + | 13.7587i | 1.83064 | + | 0.454849i | ||||
\(916\) | 1.13624 | 0.0375423 | ||||||||
\(917\) | 24.3668i | 0.804664i | ||||||||
\(918\) | 18.2101i | 0.601022i | ||||||||
\(919\) | −33.6742 | −1.11081 | −0.555405 | − | 0.831580i | \(-0.687437\pi\) | ||||
−0.555405 | + | 0.831580i | \(0.687437\pi\) | |||||||
\(920\) | 3.83030 | − | 15.4159i | 0.126281 | − | 0.508247i | ||||
\(921\) | −0.837101 | −0.0275834 | ||||||||
\(922\) | 23.0563i | 0.759317i | ||||||||
\(923\) | 14.4813i | 0.476659i | ||||||||
\(924\) | −5.07838 | −0.167066 | ||||||||
\(925\) | 14.1568 | − | 26.7298i | 0.465471 | − | 0.878870i | ||||
\(926\) | 14.0014 | 0.460116 | ||||||||
\(927\) | 71.8381i | 2.35947i | ||||||||
\(928\) | 10.5776i | 0.347226i | ||||||||
\(929\) | 43.2039 | 1.41748 | 0.708738 | − | 0.705472i | \(-0.249265\pi\) | ||||
0.708738 | + | 0.705472i | \(0.249265\pi\) | |||||||
\(930\) | 2.31351 | − | 9.31124i | 0.0758630 | − | 0.305328i | ||||
\(931\) | 2.19902 | 0.0720698 | ||||||||
\(932\) | − | 6.98932i | − | 0.228943i | ||||||
\(933\) | 41.3607i | 1.35409i | ||||||||
\(934\) | 2.88920 | 0.0945376 | ||||||||
\(935\) | 5.07838 | + | 1.26180i | 0.166081 | + | 0.0412651i | ||||
\(936\) | 17.6959 | 0.578410 | ||||||||
\(937\) | − | 27.5630i | − | 0.900445i | −0.892916 | − | 0.450222i | \(-0.851345\pi\) | ||
0.892916 | − | 0.450222i | \(-0.148655\pi\) | |||||||
\(938\) | − | 20.6947i | − | 0.675707i | ||||||
\(939\) | 106.835 | 3.48642 | ||||||||
\(940\) | 4.57304 | + | 1.13624i | 0.149156 | + | 0.0370600i | ||||
\(941\) | 58.1666 | 1.89618 | 0.948088 | − | 0.318007i | \(-0.103013\pi\) | ||||
0.948088 | + | 0.318007i | \(0.103013\pi\) | |||||||
\(942\) | − | 62.6369i | − | 2.04082i | ||||||
\(943\) | 3.57077i | 0.116280i | ||||||||
\(944\) | −21.7333 | −0.707358 | ||||||||
\(945\) | 11.8310 | − | 47.6163i | 0.384861 | − | 1.54896i | ||||
\(946\) | −25.1377 | −0.817296 | ||||||||
\(947\) | − | 48.5152i | − | 1.57653i | −0.615335 | − | 0.788266i | \(-0.710979\pi\) | ||
0.615335 | − | 0.788266i | \(-0.289021\pi\) | |||||||
\(948\) | 0.581449i | 0.0188846i | ||||||||
\(949\) | −1.95055 | −0.0633176 | ||||||||
\(950\) | −1.94214 | + | 3.66701i | −0.0630114 | + | 0.118974i | ||||
\(951\) | −44.2245 | −1.43408 | ||||||||
\(952\) | − | 3.95443i | − | 0.128164i | ||||||
\(953\) | − | 23.0349i | − | 0.746173i | −0.927796 | − | 0.373087i | \(-0.878299\pi\) | ||
0.927796 | − | 0.373087i | \(-0.121701\pi\) | |||||||
\(954\) | −92.1953 | −2.98493 | ||||||||
\(955\) | 0.796064 | − | 3.20394i | 0.0257600 | − | 0.103677i | ||||
\(956\) | 2.45013 | 0.0792430 | ||||||||
\(957\) | − | 41.2762i | − | 1.33427i | ||||||
\(958\) | − | 24.2316i | − | 0.782889i | ||||||
\(959\) | 23.5630 | 0.760890 | ||||||||
\(960\) | −41.4752 | − | 10.3051i | −1.33861 | − | 0.332596i | ||||
\(961\) | −30.2267 | −0.975056 | ||||||||
\(962\) | − | 9.31124i | − | 0.300207i | ||||||
\(963\) | 68.7429i | 2.21521i | ||||||||
\(964\) | 3.49777 | 0.112655 | ||||||||
\(965\) | −38.4801 | − | 9.56093i | −1.23872 | − | 0.307777i | ||||
\(966\) | −23.6020 | −0.759381 | ||||||||
\(967\) | − | 54.9998i | − | 1.76868i | −0.466848 | − | 0.884338i | \(-0.654611\pi\) | ||
0.466848 | − | 0.884338i | \(-0.345389\pi\) | |||||||
\(968\) | 11.4280i | 0.367310i | ||||||||
\(969\) | 1.57531 | 0.0506061 | ||||||||
\(970\) | −4.90934 | + | 19.7587i | −0.157629 | + | 0.634414i | ||||
\(971\) | 9.70540 | 0.311461 | 0.155731 | − | 0.987800i | \(-0.450227\pi\) | ||||
0.155731 | + | 0.987800i | \(0.450227\pi\) | |||||||
\(972\) | − | 8.65634i | − | 0.277652i | ||||||
\(973\) | 11.3730i | 0.364601i | ||||||||
\(974\) | 7.61038 | 0.243852 | ||||||||
\(975\) | −14.0072 | − | 7.41855i | −0.448589 | − | 0.237584i | ||||
\(976\) | −37.0433 | −1.18573 | ||||||||
\(977\) | − | 32.2062i | − | 1.03037i | −0.857080 | − | 0.515184i | \(-0.827724\pi\) | ||
0.857080 | − | 0.515184i | \(-0.172276\pi\) | |||||||
\(978\) | 58.7936i | 1.88001i | ||||||||
\(979\) | 32.5958 | 1.04177 | ||||||||
\(980\) | −0.811662 | + | 3.26672i | −0.0259276 | + | 0.104351i | ||||
\(981\) | −118.880 | −3.79555 | ||||||||
\(982\) | − | 60.7768i | − | 1.93947i | ||||||
\(983\) | 44.0782i | 1.40588i | 0.711251 | + | 0.702938i | \(0.248129\pi\) | ||||
−0.711251 | + | 0.702938i | \(0.751871\pi\) | |||||||
\(984\) | 10.0410 | 0.320097 | ||||||||
\(985\) | −4.34017 | − | 1.07838i | −0.138289 | − | 0.0343600i | ||||
\(986\) | −7.27408 | −0.231654 | ||||||||
\(987\) | 30.9360i | 0.984704i | ||||||||
\(988\) | 0.199016i | 0.00633154i | ||||||||
\(989\) | −18.2017 | −0.578779 | ||||||||
\(990\) | −59.7887 | − | 14.8554i | −1.90021 | − | 0.472134i | ||||
\(991\) | 12.0677 | 0.383343 | 0.191672 | − | 0.981459i | \(-0.438609\pi\) | ||||
0.191672 | + | 0.981459i | \(0.438609\pi\) | |||||||
\(992\) | 1.81393i | 0.0575923i | ||||||||
\(993\) | − | 58.5029i | − | 1.85653i | ||||||
\(994\) | −38.0989 | −1.20842 | ||||||||
\(995\) | 2.90725 | − | 11.7009i | 0.0921659 | − | 0.370942i | ||||
\(996\) | 10.0989 | 0.319996 | ||||||||
\(997\) | − | 45.7587i | − | 1.44919i | −0.689173 | − | 0.724597i | \(-0.742026\pi\) | ||
0.689173 | − | 0.724597i | \(-0.257974\pi\) | |||||||
\(998\) | 2.57182i | 0.0814094i | ||||||||
\(999\) | 77.6574 | 2.45697 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))