Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(26,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 3 x^{11} + 17 x^{10} - 18 x^{9} + 109 x^{8} - 93 x^{7} + 484 x^{6} - 147 x^{5} + 1009 x^{4} - 552 x^{3} + 1107 x^{2} + 33 x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 26.3 | ||
Root | \(-0.0149173 + 0.0258375i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.26 |
Dual form | 475.2.e.f.201.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.155554 | − | 0.269427i | −0.109993 | − | 0.190514i | 0.805774 | − | 0.592223i | \(-0.201750\pi\) |
−0.915767 | + | 0.401709i | \(0.868416\pi\) | |||||||
\(3\) | −0.514917 | − | 0.891863i | −0.297288 | − | 0.514917i | 0.678227 | − | 0.734853i | \(-0.262749\pi\) |
−0.975514 | + | 0.219935i | \(0.929415\pi\) | |||||||
\(4\) | 0.951606 | − | 1.64823i | 0.475803 | − | 0.824115i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.160195 | + | 0.277466i | −0.0653993 | + | 0.113275i | ||||
\(7\) | −3.28038 | −1.23987 | −0.619934 | − | 0.784654i | \(-0.712841\pi\) | ||||
−0.619934 | + | 0.784654i | \(0.712841\pi\) | |||||||
\(8\) | −1.21432 | −0.429327 | ||||||||
\(9\) | 0.969720 | − | 1.67960i | 0.323240 | − | 0.559868i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.16792 | −1.55819 | −0.779093 | − | 0.626908i | \(-0.784320\pi\) | ||||
−0.779093 | + | 0.626908i | \(0.784320\pi\) | |||||||
\(12\) | −1.95999 | −0.565801 | ||||||||
\(13\) | −1.76735 | + | 3.06115i | −0.490176 | + | 0.849010i | −0.999936 | − | 0.0113069i | \(-0.996401\pi\) |
0.509760 | + | 0.860317i | \(0.329734\pi\) | |||||||
\(14\) | 0.510276 | + | 0.883825i | 0.136377 | + | 0.236212i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.71432 | − | 2.96929i | −0.428580 | − | 0.742322i | ||||
\(17\) | 0.504641 | + | 0.874064i | 0.122393 | + | 0.211992i | 0.920711 | − | 0.390245i | \(-0.127610\pi\) |
−0.798318 | + | 0.602237i | \(0.794276\pi\) | |||||||
\(18\) | −0.603375 | −0.142217 | ||||||||
\(19\) | 2.42346 | + | 3.62310i | 0.555979 | + | 0.831196i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.68913 | + | 2.92565i | 0.368598 | + | 0.638430i | ||||
\(22\) | 0.803890 | + | 1.39238i | 0.171390 | + | 0.296856i | ||||
\(23\) | 3.83176 | − | 6.63680i | 0.798976 | − | 1.38387i | −0.121307 | − | 0.992615i | \(-0.538709\pi\) |
0.920283 | − | 0.391253i | \(-0.127958\pi\) | |||||||
\(24\) | 0.625274 | + | 1.08301i | 0.127634 | + | 0.221068i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.09968 | 0.215664 | ||||||||
\(27\) | −5.08681 | −0.978956 | ||||||||
\(28\) | −3.12163 | + | 5.40683i | −0.589933 | + | 1.02179i | ||||
\(29\) | 2.01303 | − | 3.48667i | 0.373810 | − | 0.647458i | −0.616338 | − | 0.787482i | \(-0.711385\pi\) |
0.990148 | + | 0.140024i | \(0.0447179\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.60077 | −0.826323 | −0.413162 | − | 0.910658i | \(-0.635576\pi\) | ||||
−0.413162 | + | 0.910658i | \(0.635576\pi\) | |||||||
\(32\) | −1.74766 | + | 3.02703i | −0.308945 | + | 0.535109i | ||||
\(33\) | 2.66105 | + | 4.60908i | 0.463230 | + | 0.802337i | ||||
\(34\) | 0.156998 | − | 0.271928i | 0.0269249 | − | 0.0466353i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.84558 | − | 3.19664i | −0.307597 | − | 0.532774i | ||||
\(37\) | −6.48831 | −1.06667 | −0.533336 | − | 0.845904i | \(-0.679062\pi\) | ||||
−0.533336 | + | 0.845904i | \(0.679062\pi\) | |||||||
\(38\) | 0.599183 | − | 1.21653i | 0.0972004 | − | 0.197348i | ||||
\(39\) | 3.64017 | 0.582893 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.40277 | + | 5.89377i | 0.531423 | + | 0.920451i | 0.999327 | + | 0.0366724i | \(0.0116758\pi\) |
−0.467904 | + | 0.883779i | \(0.654991\pi\) | |||||||
\(42\) | 0.525500 | − | 0.910193i | 0.0810865 | − | 0.140446i | ||||
\(43\) | −3.15511 | − | 5.46481i | −0.481150 | − | 0.833376i | 0.518616 | − | 0.855007i | \(-0.326447\pi\) |
−0.999766 | + | 0.0216315i | \(0.993114\pi\) | |||||||
\(44\) | −4.91782 | + | 8.51792i | −0.741390 | + | 1.28412i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.38418 | −0.351528 | ||||||||
\(47\) | 1.92079 | − | 3.32690i | 0.280175 | − | 0.485278i | −0.691252 | − | 0.722613i | \(-0.742941\pi\) |
0.971428 | + | 0.237335i | \(0.0762740\pi\) | |||||||
\(48\) | −1.76547 | + | 3.05788i | −0.254823 | + | 0.441366i | ||||
\(49\) | 3.76091 | 0.537273 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.519697 | − | 0.900141i | 0.0727721 | − | 0.126045i | ||||
\(52\) | 3.36365 | + | 5.82601i | 0.466454 | + | 0.807923i | ||||
\(53\) | 3.55946 | − | 6.16516i | 0.488929 | − | 0.846850i | −0.510990 | − | 0.859587i | \(-0.670721\pi\) |
0.999919 | + | 0.0127367i | \(0.00405432\pi\) | |||||||
\(54\) | 0.791273 | + | 1.37052i | 0.107679 | + | 0.186505i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.98343 | 0.532309 | ||||||||
\(57\) | 1.98343 | − | 4.02699i | 0.262711 | − | 0.533388i | ||||
\(58\) | −1.25254 | −0.164466 | ||||||||
\(59\) | −6.73649 | − | 11.6679i | −0.877016 | − | 1.51904i | −0.854599 | − | 0.519288i | \(-0.826197\pi\) |
−0.0224174 | − | 0.999749i | \(-0.507136\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.06850 | + | 5.31480i | −0.392881 | + | 0.680491i | −0.992828 | − | 0.119549i | \(-0.961855\pi\) |
0.599947 | + | 0.800040i | \(0.295188\pi\) | |||||||
\(62\) | 0.715668 | + | 1.23957i | 0.0908899 | + | 0.157426i | ||||
\(63\) | −3.18105 | + | 5.50975i | −0.400775 | + | 0.694163i | ||||
\(64\) | −5.76986 | −0.721232 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.827874 | − | 1.43392i | 0.101904 | − | 0.176503i | ||||
\(67\) | 5.59897 | − | 9.69770i | 0.684023 | − | 1.18476i | −0.289719 | − | 0.957112i | \(-0.593562\pi\) |
0.973743 | − | 0.227652i | \(-0.0731047\pi\) | |||||||
\(68\) | 1.92088 | 0.232941 | ||||||||
\(69\) | −7.89215 | −0.950103 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.227702 | + | 0.394391i | 0.0270233 | + | 0.0468056i | 0.879221 | − | 0.476415i | \(-0.158064\pi\) |
−0.852198 | + | 0.523220i | \(0.824731\pi\) | |||||||
\(72\) | −1.17755 | + | 2.03958i | −0.138776 | + | 0.240367i | ||||
\(73\) | −2.06691 | − | 3.57999i | −0.241914 | − | 0.419007i | 0.719346 | − | 0.694652i | \(-0.244442\pi\) |
−0.961259 | + | 0.275646i | \(0.911108\pi\) | |||||||
\(74\) | 1.00928 | + | 1.74813i | 0.117327 | + | 0.203216i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.27788 | − | 0.546653i | 0.949538 | − | 0.0627054i | ||||
\(77\) | 16.9528 | 1.93195 | ||||||||
\(78\) | −0.566242 | − | 0.980760i | −0.0641143 | − | 0.111049i | ||||
\(79\) | −1.44414 | − | 2.50132i | −0.162478 | − | 0.281421i | 0.773278 | − | 0.634067i | \(-0.218615\pi\) |
−0.935757 | + | 0.352646i | \(0.885282\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.289876 | − | 0.502080i | −0.0322085 | − | 0.0557867i | ||||
\(82\) | 1.05863 | − | 1.83360i | 0.116906 | − | 0.202487i | ||||
\(83\) | −5.50061 | −0.603770 | −0.301885 | − | 0.953344i | \(-0.597616\pi\) | ||||
−0.301885 | + | 0.953344i | \(0.597616\pi\) | |||||||
\(84\) | 6.42953 | 0.701519 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.981579 | + | 1.70014i | −0.105846 | + | 0.183331i | ||||
\(87\) | −4.14617 | −0.444516 | ||||||||
\(88\) | 6.27551 | 0.668971 | ||||||||
\(89\) | 3.56433 | − | 6.17360i | 0.377818 | − | 0.654400i | −0.612926 | − | 0.790140i | \(-0.710008\pi\) |
0.990745 | + | 0.135740i | \(0.0433411\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.79760 | − | 10.0417i | 0.607754 | − | 1.05266i | ||||
\(92\) | −7.29264 | − | 12.6312i | −0.760311 | − | 1.31690i | ||||
\(93\) | 2.36902 | + | 4.10326i | 0.245656 | + | 0.425488i | ||||
\(94\) | −1.19514 | −0.123270 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.59960 | 0.367382 | ||||||||
\(97\) | 5.41252 | + | 9.37476i | 0.549558 | + | 0.951862i | 0.998305 | + | 0.0582034i | \(0.0185372\pi\) |
−0.448747 | + | 0.893659i | \(0.648129\pi\) | |||||||
\(98\) | −0.585025 | − | 1.01329i | −0.0590964 | − | 0.102358i | ||||
\(99\) | −5.01144 | + | 8.68006i | −0.503668 | + | 0.872379i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.09011 | − | 5.35223i | 0.307478 | − | 0.532567i | −0.670332 | − | 0.742061i | \(-0.733848\pi\) |
0.977810 | + | 0.209494i | \(0.0671818\pi\) | |||||||
\(102\) | −0.323363 | −0.0320177 | ||||||||
\(103\) | 18.3217 | 1.80529 | 0.902644 | − | 0.430387i | \(-0.141623\pi\) | ||||
0.902644 | + | 0.430387i | \(0.141623\pi\) | |||||||
\(104\) | 2.14613 | − | 3.71721i | 0.210446 | − | 0.364503i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.21475 | −0.215116 | ||||||||
\(107\) | 8.73445 | 0.844391 | 0.422196 | − | 0.906505i | \(-0.361260\pi\) | ||||
0.422196 | + | 0.906505i | \(0.361260\pi\) | |||||||
\(108\) | −4.84064 | + | 8.38423i | −0.465790 | + | 0.806773i | ||||
\(109\) | 3.04839 | + | 5.27997i | 0.291983 | + | 0.505730i | 0.974279 | − | 0.225347i | \(-0.0723515\pi\) |
−0.682295 | + | 0.731077i | \(0.739018\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.34094 | + | 5.78668i | 0.317108 | + | 0.549248i | ||||
\(112\) | 5.62363 | + | 9.74041i | 0.531383 | + | 0.920382i | ||||
\(113\) | 10.3443 | 0.973111 | 0.486556 | − | 0.873650i | \(-0.338253\pi\) | ||||
0.486556 | + | 0.873650i | \(0.338253\pi\) | |||||||
\(114\) | −1.39351 | + | 0.0920244i | −0.130514 | + | 0.00861887i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −3.83122 | − | 6.63587i | −0.355720 | − | 0.616125i | ||||
\(117\) | 3.42768 | + | 5.93692i | 0.316889 | + | 0.548868i | ||||
\(118\) | −2.09578 | + | 3.62999i | −0.192932 | + | 0.334168i | ||||
\(119\) | −1.65542 | − | 2.86726i | −0.151752 | − | 0.262842i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.7074 | 1.42794 | ||||||||
\(122\) | 1.90927 | 0.172857 | ||||||||
\(123\) | 3.50429 | − | 6.06960i | 0.315971 | − | 0.547278i | ||||
\(124\) | −4.37812 | + | 7.58313i | −0.393167 | + | 0.680985i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.97930 | 0.176330 | ||||||||
\(127\) | −1.68356 | + | 2.91602i | −0.149392 | + | 0.258755i | −0.931003 | − | 0.365012i | \(-0.881065\pi\) |
0.781611 | + | 0.623766i | \(0.214398\pi\) | |||||||
\(128\) | 4.39284 | + | 7.60862i | 0.388276 | + | 0.672514i | ||||
\(129\) | −3.24924 | + | 5.62785i | −0.286080 | + | 0.495504i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.21089 | − | 2.09732i | −0.105796 | − | 0.183244i | 0.808267 | − | 0.588816i | \(-0.200406\pi\) |
−0.914063 | + | 0.405572i | \(0.867072\pi\) | |||||||
\(132\) | 10.1291 | 0.881624 | ||||||||
\(133\) | −7.94987 | − | 11.8852i | −0.689341 | − | 1.03057i | ||||
\(134\) | −3.48377 | −0.300952 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.612795 | − | 1.06139i | −0.0525468 | − | 0.0910137i | ||||
\(137\) | 5.75955 | − | 9.97584i | 0.492072 | − | 0.852293i | −0.507886 | − | 0.861424i | \(-0.669573\pi\) |
0.999958 | + | 0.00913057i | \(0.00290639\pi\) | |||||||
\(138\) | 1.22765 | + | 2.12636i | 0.104505 | + | 0.181008i | ||||
\(139\) | −3.53776 | + | 6.12759i | −0.300069 | + | 0.519735i | −0.976151 | − | 0.217091i | \(-0.930343\pi\) |
0.676082 | + | 0.736826i | \(0.263676\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.95618 | −0.333171 | ||||||||
\(142\) | 0.0708399 | − | 0.122698i | 0.00594475 | − | 0.0102966i | ||||
\(143\) | 9.13355 | − | 15.8198i | 0.763785 | − | 1.32292i | ||||
\(144\) | −6.64964 | −0.554137 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.643032 | + | 1.11376i | −0.0532177 | + | 0.0921758i | ||||
\(147\) | −1.93656 | − | 3.35422i | −0.159725 | − | 0.276651i | ||||
\(148\) | −6.17431 | + | 10.6942i | −0.507525 | + | 0.879060i | ||||
\(149\) | −6.37476 | − | 11.0414i | −0.522240 | − | 0.904547i | −0.999665 | − | 0.0258744i | \(-0.991763\pi\) |
0.477425 | − | 0.878673i | \(-0.341570\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.6361 | −1.59797 | −0.798983 | − | 0.601353i | \(-0.794628\pi\) | ||||
−0.798983 | + | 0.601353i | \(0.794628\pi\) | |||||||
\(152\) | −2.94285 | − | 4.39960i | −0.238697 | − | 0.356855i | ||||
\(153\) | 1.95744 | 0.158250 | ||||||||
\(154\) | −2.63707 | − | 4.56753i | −0.212501 | − | 0.368062i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.46400 | − | 5.99983i | 0.277342 | − | 0.480371i | ||||
\(157\) | −1.54244 | − | 2.67159i | −0.123101 | − | 0.213216i | 0.797888 | − | 0.602805i | \(-0.205950\pi\) |
−0.920989 | + | 0.389589i | \(0.872617\pi\) | |||||||
\(158\) | −0.449283 | + | 0.778182i | −0.0357431 | + | 0.0619088i | ||||
\(159\) | −7.33131 | −0.581410 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.5696 | + | 21.7712i | −0.990625 | + | 1.71581i | ||||
\(162\) | −0.0901827 | + | 0.156201i | −0.00708542 | + | 0.0122723i | ||||
\(163\) | −22.4721 | −1.76015 | −0.880077 | − | 0.474831i | \(-0.842509\pi\) | ||||
−0.880077 | + | 0.474831i | \(0.842509\pi\) | |||||||
\(164\) | 12.9524 | 1.01141 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.855642 | + | 1.48201i | 0.0664107 | + | 0.115027i | ||||
\(167\) | −5.26987 | + | 9.12769i | −0.407795 | + | 0.706322i | −0.994642 | − | 0.103376i | \(-0.967036\pi\) |
0.586847 | + | 0.809698i | \(0.300369\pi\) | |||||||
\(168\) | −2.05114 | − | 3.55268i | −0.158249 | − | 0.274095i | ||||
\(169\) | 0.252915 | + | 0.438062i | 0.0194550 | + | 0.0336970i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.43545 | − | 0.557059i | 0.645075 | − | 0.0425994i | ||||
\(172\) | −12.0097 | −0.915730 | ||||||||
\(173\) | −11.4691 | − | 19.8650i | −0.871977 | − | 1.51031i | −0.859949 | − | 0.510380i | \(-0.829505\pi\) |
−0.0120281 | − | 0.999928i | \(-0.503829\pi\) | |||||||
\(174\) | 0.644953 | + | 1.11709i | 0.0488938 | + | 0.0846865i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.85947 | + | 15.3450i | 0.667807 | + | 1.15668i | ||||
\(177\) | −6.93747 | + | 12.0161i | −0.521452 | + | 0.903182i | ||||
\(178\) | −2.21778 | −0.166230 | ||||||||
\(179\) | 23.2705 | 1.73932 | 0.869661 | − | 0.493649i | \(-0.164337\pi\) | ||||
0.869661 | + | 0.493649i | \(0.164337\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.98346 | − | 13.8278i | 0.593406 | − | 1.02781i | −0.400364 | − | 0.916356i | \(-0.631116\pi\) |
0.993770 | − | 0.111453i | \(-0.0355503\pi\) | |||||||
\(182\) | −3.60736 | −0.267395 | ||||||||
\(183\) | 6.32010 | 0.467195 | ||||||||
\(184\) | −4.65298 | + | 8.05919i | −0.343022 | + | 0.594132i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.737020 | − | 1.27656i | 0.0540409 | − | 0.0936016i | ||||
\(187\) | −2.60794 | − | 4.51709i | −0.190712 | − | 0.330322i | ||||
\(188\) | −3.65566 | − | 6.33179i | −0.266617 | − | 0.461793i | ||||
\(189\) | 16.6867 | 1.21378 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.44600 | −0.176986 | −0.0884930 | − | 0.996077i | \(-0.528205\pi\) | ||||
−0.0884930 | + | 0.996077i | \(0.528205\pi\) | |||||||
\(192\) | 2.97100 | + | 5.14592i | 0.214413 | + | 0.371375i | ||||
\(193\) | 9.52280 | + | 16.4940i | 0.685466 | + | 1.18726i | 0.973290 | + | 0.229579i | \(0.0737350\pi\) |
−0.287824 | + | 0.957683i | \(0.592932\pi\) | |||||||
\(194\) | 1.68388 | − | 2.91656i | 0.120895 | − | 0.209397i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.57891 | − | 6.19885i | 0.255636 | − | 0.442775i | ||||
\(197\) | −6.18524 | −0.440680 | −0.220340 | − | 0.975423i | \(-0.570717\pi\) | ||||
−0.220340 | + | 0.975423i | \(0.570717\pi\) | |||||||
\(198\) | 3.11819 | 0.221600 | ||||||||
\(199\) | −3.60525 | + | 6.24447i | −0.255569 | + | 0.442659i | −0.965050 | − | 0.262066i | \(-0.915596\pi\) |
0.709481 | + | 0.704725i | \(0.248930\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.5320 | −0.813407 | ||||||||
\(202\) | −1.92272 | −0.135282 | ||||||||
\(203\) | −6.60350 | + | 11.4376i | −0.463475 | + | 0.802763i | ||||
\(204\) | −0.989093 | − | 1.71316i | −0.0692504 | − | 0.119945i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −2.85001 | − | 4.93636i | −0.198570 | − | 0.343933i | ||||
\(207\) | −7.43146 | − | 12.8717i | −0.516522 | − | 0.894643i | ||||
\(208\) | 12.1192 | 0.840318 | ||||||||
\(209\) | −12.5242 | − | 18.7239i | −0.866320 | − | 1.29516i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.82333 | + | 17.0145i | 0.676266 | + | 1.17133i | 0.976097 | + | 0.217335i | \(0.0697362\pi\) |
−0.299831 | + | 0.953992i | \(0.596930\pi\) | |||||||
\(212\) | −6.77440 | − | 11.7336i | −0.465268 | − | 0.805868i | ||||
\(213\) | 0.234495 | − | 0.406158i | 0.0160674 | − | 0.0278295i | ||||
\(214\) | −1.35868 | − | 2.35330i | −0.0928773 | − | 0.160868i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 6.17701 | 0.420292 | ||||||||
\(217\) | 15.0923 | 1.02453 | ||||||||
\(218\) | 0.948379 | − | 1.64264i | 0.0642323 | − | 0.111254i | ||||
\(219\) | −2.12858 | + | 3.68680i | −0.143836 | + | 0.249131i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.56752 | −0.239977 | ||||||||
\(222\) | 1.03939 | − | 1.80028i | 0.0697595 | − | 0.120827i | ||||
\(223\) | 5.66690 | + | 9.81536i | 0.379484 | + | 0.657285i | 0.990987 | − | 0.133957i | \(-0.0427683\pi\) |
−0.611504 | + | 0.791242i | \(0.709435\pi\) | |||||||
\(224\) | 5.73299 | − | 9.92983i | 0.383051 | − | 0.663464i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.60910 | − | 2.78704i | −0.107036 | − | 0.185391i | ||||
\(227\) | −11.1369 | −0.739180 | −0.369590 | − | 0.929195i | \(-0.620502\pi\) | ||||
−0.369590 | + | 0.929195i | \(0.620502\pi\) | |||||||
\(228\) | −4.74996 | − | 7.10125i | −0.314574 | − | 0.470292i | ||||
\(229\) | 3.51221 | 0.232093 | 0.116047 | − | 0.993244i | \(-0.462978\pi\) | ||||
0.116047 | + | 0.993244i | \(0.462978\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.72927 | − | 15.1195i | −0.574344 | − | 0.994792i | ||||
\(232\) | −2.44446 | + | 4.23393i | −0.160487 | + | 0.277971i | ||||
\(233\) | −3.09499 | − | 5.36068i | −0.202759 | − | 0.351190i | 0.746657 | − | 0.665209i | \(-0.231658\pi\) |
−0.949417 | + | 0.314020i | \(0.898324\pi\) | |||||||
\(234\) | 1.06638 | − | 1.84702i | 0.0697113 | − | 0.120744i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −25.6419 | −1.66915 | ||||||||
\(237\) | −1.48723 | + | 2.57595i | −0.0966057 | + | 0.167326i | ||||
\(238\) | −0.515013 | + | 0.892028i | −0.0333833 | + | 0.0578216i | ||||
\(239\) | 12.1221 | 0.784116 | 0.392058 | − | 0.919940i | \(-0.371763\pi\) | ||||
0.392058 | + | 0.919940i | \(0.371763\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.55102 | − | 4.41849i | 0.164326 | − | 0.284620i | −0.772090 | − | 0.635513i | \(-0.780789\pi\) |
0.936416 | + | 0.350893i | \(0.114122\pi\) | |||||||
\(242\) | −2.44335 | − | 4.23200i | −0.157064 | − | 0.272043i | ||||
\(243\) | −7.92873 | + | 13.7330i | −0.508629 | + | 0.880971i | ||||
\(244\) | 5.84001 | + | 10.1152i | 0.373868 | + | 0.647559i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.18042 | −0.139019 | ||||||||
\(247\) | −15.3740 | + | 1.01526i | −0.978221 | + | 0.0645996i | ||||
\(248\) | 5.58681 | 0.354763 | ||||||||
\(249\) | 2.83236 | + | 4.90579i | 0.179494 | + | 0.310892i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.7122 | + | 22.0181i | −0.802385 | + | 1.38977i | 0.115657 | + | 0.993289i | \(0.463103\pi\) |
−0.918042 | + | 0.396483i | \(0.870231\pi\) | |||||||
\(252\) | 6.05422 | + | 10.4862i | 0.381380 | + | 0.660570i | ||||
\(253\) | −19.8022 | + | 34.2984i | −1.24495 | + | 2.15632i | ||||
\(254\) | 1.04754 | 0.0657285 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.40321 | + | 7.62659i | −0.275201 | + | 0.476662i | ||||
\(257\) | −9.22493 | + | 15.9781i | −0.575436 | + | 0.996684i | 0.420559 | + | 0.907265i | \(0.361834\pi\) |
−0.995994 | + | 0.0894183i | \(0.971499\pi\) | |||||||
\(258\) | 2.02173 | 0.125867 | ||||||||
\(259\) | 21.2841 | 1.32253 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.90415 | − | 6.76218i | −0.241661 | − | 0.418569i | ||||
\(262\) | −0.376717 | + | 0.652493i | −0.0232737 | + | 0.0403111i | ||||
\(263\) | −6.47530 | − | 11.2155i | −0.399284 | − | 0.691580i | 0.594354 | − | 0.804204i | \(-0.297408\pi\) |
−0.993638 | + | 0.112624i | \(0.964075\pi\) | |||||||
\(264\) | −3.23137 | − | 5.59689i | −0.198877 | − | 0.344465i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.96555 | + | 3.99069i | −0.120516 | + | 0.244685i | ||||
\(267\) | −7.34134 | −0.449283 | ||||||||
\(268\) | −10.6560 | − | 18.4568i | −0.650921 | − | 1.12743i | ||||
\(269\) | −0.0782471 | − | 0.135528i | −0.00477081 | − | 0.00826329i | 0.863630 | − | 0.504126i | \(-0.168185\pi\) |
−0.868401 | + | 0.495863i | \(0.834852\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.9095 | − | 24.0920i | −0.844944 | − | 1.46349i | −0.885670 | − | 0.464315i | \(-0.846301\pi\) |
0.0407264 | − | 0.999170i | \(-0.487033\pi\) | |||||||
\(272\) | 1.73023 | − | 2.99685i | 0.104911 | − | 0.181711i | ||||
\(273\) | −11.9411 | −0.722711 | ||||||||
\(274\) | −3.58368 | −0.216498 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.51022 | + | 13.0081i | −0.452062 | + | 0.782994i | ||||
\(277\) | −0.524062 | −0.0314878 | −0.0157439 | − | 0.999876i | \(-0.505012\pi\) | ||||
−0.0157439 | + | 0.999876i | \(0.505012\pi\) | |||||||
\(278\) | 2.20125 | 0.132022 | ||||||||
\(279\) | −4.46146 | + | 7.72748i | −0.267101 | + | 0.462632i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.44413 | − | 4.23336i | 0.145804 | − | 0.252541i | −0.783868 | − | 0.620927i | \(-0.786756\pi\) |
0.929673 | + | 0.368386i | \(0.120090\pi\) | |||||||
\(282\) | 0.615400 | + | 1.06590i | 0.0366465 | + | 0.0634736i | ||||
\(283\) | 8.93931 | + | 15.4833i | 0.531387 | + | 0.920389i | 0.999329 | + | 0.0366299i | \(0.0116623\pi\) |
−0.467942 | + | 0.883759i | \(0.655004\pi\) | |||||||
\(284\) | 0.866730 | 0.0514310 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.68304 | −0.336045 | ||||||||
\(287\) | −11.1624 | − | 19.3338i | −0.658894 | − | 1.14124i | ||||
\(288\) | 3.38948 | + | 5.87075i | 0.199727 | + | 0.345937i | ||||
\(289\) | 7.99068 | − | 13.8403i | 0.470040 | − | 0.814133i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.57400 | − | 9.65445i | 0.326754 | − | 0.565954i | ||||
\(292\) | −7.86754 | −0.460413 | ||||||||
\(293\) | 7.25399 | 0.423783 | 0.211891 | − | 0.977293i | \(-0.432038\pi\) | ||||
0.211891 | + | 0.977293i | \(0.432038\pi\) | |||||||
\(294\) | −0.602479 | + | 1.04352i | −0.0351373 | + | 0.0608595i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.87888 | 0.457951 | ||||||||
\(297\) | 26.2882 | 1.52540 | ||||||||
\(298\) | −1.98324 | + | 3.43507i | −0.114886 | + | 0.198988i | ||||
\(299\) | 13.5441 | + | 23.4591i | 0.783278 | + | 1.35668i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.3500 | + | 17.9267i | 0.596562 | + | 1.03328i | ||||
\(302\) | 3.05448 | + | 5.29051i | 0.175766 | + | 0.304435i | ||||
\(303\) | −6.36461 | −0.365637 | ||||||||
\(304\) | 6.60345 | − | 13.4071i | 0.378734 | − | 0.768950i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.304488 | − | 0.527388i | −0.0174064 | − | 0.0301488i | ||||
\(307\) | −7.19015 | − | 12.4537i | −0.410364 | − | 0.710771i | 0.584566 | − | 0.811346i | \(-0.301265\pi\) |
−0.994929 | + | 0.100576i | \(0.967932\pi\) | |||||||
\(308\) | 16.1323 | − | 27.9420i | 0.919226 | − | 1.59215i | ||||
\(309\) | −9.43415 | − | 16.3404i | −0.536690 | − | 0.929574i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.52590 | 0.483459 | 0.241730 | − | 0.970344i | \(-0.422285\pi\) | ||||
0.241730 | + | 0.970344i | \(0.422285\pi\) | |||||||
\(312\) | −4.42033 | −0.250252 | ||||||||
\(313\) | 10.6809 | − | 18.4999i | 0.603722 | − | 1.04568i | −0.388530 | − | 0.921436i | \(-0.627017\pi\) |
0.992252 | − | 0.124241i | \(-0.0396495\pi\) | |||||||
\(314\) | −0.479867 | + | 0.831153i | −0.0270804 | + | 0.0469047i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.49701 | −0.309231 | ||||||||
\(317\) | −14.0464 | + | 24.3291i | −0.788924 | + | 1.36646i | 0.137702 | + | 0.990474i | \(0.456028\pi\) |
−0.926626 | + | 0.375983i | \(0.877305\pi\) | |||||||
\(318\) | 1.14041 | + | 1.97525i | 0.0639512 | + | 0.110767i | ||||
\(319\) | −10.4032 | + | 18.0188i | −0.582466 | + | 1.00886i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.49752 | − | 7.78993i | −0.251027 | − | 0.434792i | ||||
\(322\) | 7.82102 | 0.435848 | ||||||||
\(323\) | −1.94384 | + | 3.94662i | −0.108158 | + | 0.219596i | ||||
\(324\) | −1.10339 | −0.0612995 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.49563 | + | 6.05461i | 0.193605 | + | 0.335334i | ||||
\(327\) | 3.13934 | − | 5.43750i | 0.173606 | − | 0.300694i | ||||
\(328\) | −4.13205 | − | 7.15692i | −0.228154 | − | 0.395175i | ||||
\(329\) | −6.30091 | + | 10.9135i | −0.347381 | + | 0.601681i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.1725 | 0.833957 | 0.416979 | − | 0.908916i | \(-0.363089\pi\) | ||||
0.416979 | + | 0.908916i | \(0.363089\pi\) | |||||||
\(332\) | −5.23441 | + | 9.06627i | −0.287276 | + | 0.497576i | ||||
\(333\) | −6.29184 | + | 10.8978i | −0.344791 | + | 0.597195i | ||||
\(334\) | 3.27900 | 0.179419 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 5.79140 | − | 10.0310i | 0.315947 | − | 0.547236i | ||||
\(337\) | 8.75041 | + | 15.1562i | 0.476665 | + | 0.825608i | 0.999642 | − | 0.0267383i | \(-0.00851209\pi\) |
−0.522977 | + | 0.852347i | \(0.675179\pi\) | |||||||
\(338\) | 0.0786838 | − | 0.136284i | 0.00427984 | − | 0.00741289i | ||||
\(339\) | −5.32647 | − | 9.22571i | −0.289294 | − | 0.501072i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 23.7764 | 1.28757 | ||||||||
\(342\) | −1.46225 | − | 2.18609i | −0.0790697 | − | 0.118210i | ||||
\(343\) | 10.6254 | 0.573720 | ||||||||
\(344\) | 3.83131 | + | 6.63603i | 0.206570 | + | 0.357791i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.56812 | + | 6.18016i | −0.191823 | + | 0.332247i | ||||
\(347\) | −8.68435 | − | 15.0417i | −0.466201 | − | 0.807483i | 0.533054 | − | 0.846081i | \(-0.321044\pi\) |
−0.999255 | + | 0.0385980i | \(0.987711\pi\) | |||||||
\(348\) | −3.94552 | + | 6.83385i | −0.211502 | + | 0.366333i | ||||
\(349\) | −34.2563 | −1.83370 | −0.916850 | − | 0.399232i | \(-0.869277\pi\) | ||||
−0.916850 | + | 0.399232i | \(0.869277\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.99019 | − | 15.5715i | 0.479861 | − | 0.831144i | ||||
\(352\) | 9.03176 | − | 15.6435i | 0.481394 | − | 0.833799i | ||||
\(353\) | 34.9287 | 1.85907 | 0.929534 | − | 0.368736i | \(-0.120209\pi\) | ||||
0.929534 | + | 0.368736i | \(0.120209\pi\) | |||||||
\(354\) | 4.31660 | 0.229425 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −6.78367 | − | 11.7497i | −0.359534 | − | 0.622731i | ||||
\(357\) | −1.70480 | + | 2.95281i | −0.0902278 | + | 0.156279i | ||||
\(358\) | −3.61982 | − | 6.26972i | −0.191314 | − | 0.331365i | ||||
\(359\) | 0.488273 | + | 0.845713i | 0.0257701 | + | 0.0446350i | 0.878623 | − | 0.477516i | \(-0.158463\pi\) |
−0.852853 | + | 0.522151i | \(0.825130\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.25370 | + | 17.5609i | −0.381774 | + | 0.924256i | ||||
\(362\) | −4.96743 | −0.261082 | ||||||||
\(363\) | −8.08801 | − | 14.0088i | −0.424510 | − | 0.735273i | ||||
\(364\) | −11.0341 | − | 19.1116i | −0.578342 | − | 1.00172i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.983116 | − | 1.70281i | −0.0513883 | − | 0.0890071i | ||||
\(367\) | −4.93318 | + | 8.54451i | −0.257510 | + | 0.446020i | −0.965574 | − | 0.260128i | \(-0.916235\pi\) |
0.708064 | + | 0.706148i | \(0.249569\pi\) | |||||||
\(368\) | −26.2754 | −1.36970 | ||||||||
\(369\) | 13.1989 | 0.687109 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.6764 | + | 20.2241i | −0.606208 | + | 1.04998i | ||||
\(372\) | 9.01748 | 0.467535 | ||||||||
\(373\) | −12.9521 | −0.670634 | −0.335317 | − | 0.942105i | \(-0.608843\pi\) | ||||
−0.335317 | + | 0.942105i | \(0.608843\pi\) | |||||||
\(374\) | −0.811352 | + | 1.40530i | −0.0419540 | + | 0.0726664i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.33245 | + | 4.03992i | −0.120287 | + | 0.208343i | ||||
\(377\) | 7.11547 | + | 12.3244i | 0.366465 | + | 0.634737i | ||||
\(378\) | −2.59568 | − | 4.49585i | −0.133507 | − | 0.231241i | ||||
\(379\) | 5.21597 | 0.267926 | 0.133963 | − | 0.990986i | \(-0.457230\pi\) | ||||
0.133963 | + | 0.990986i | \(0.457230\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.46758 | 0.177650 | ||||||||
\(382\) | 0.380484 | + | 0.659018i | 0.0194673 | + | 0.0337183i | ||||
\(383\) | −16.7657 | − | 29.0390i | −0.856686 | − | 1.48382i | −0.875072 | − | 0.483993i | \(-0.839186\pi\) |
0.0183857 | − | 0.999831i | \(-0.494147\pi\) | |||||||
\(384\) | 4.52390 | − | 7.83562i | 0.230859 | − | 0.399860i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.96262 | − | 5.13141i | 0.150793 | − | 0.261182i | ||||
\(387\) | −12.2383 | −0.622107 | ||||||||
\(388\) | 20.6023 | 1.04593 | ||||||||
\(389\) | −13.8703 | + | 24.0241i | −0.703253 | + | 1.21807i | 0.264066 | + | 0.964505i | \(0.414936\pi\) |
−0.967318 | + | 0.253565i | \(0.918397\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.73464 | 0.391158 | ||||||||
\(392\) | −4.56695 | −0.230666 | ||||||||
\(393\) | −1.24702 | + | 2.15989i | −0.0629036 | + | 0.108952i | ||||
\(394\) | 0.962139 | + | 1.66647i | 0.0484718 | + | 0.0839557i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 9.53783 | + | 16.5200i | 0.479294 | + | 0.830161i | ||||
\(397\) | 2.74971 | + | 4.76264i | 0.138004 | + | 0.239030i | 0.926741 | − | 0.375701i | \(-0.122598\pi\) |
−0.788737 | + | 0.614731i | \(0.789265\pi\) | |||||||
\(398\) | 2.24324 | 0.112444 | ||||||||
\(399\) | −6.50640 | + | 13.2101i | −0.325728 | + | 0.661331i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.25655 | + | 7.37256i | 0.212562 | + | 0.368168i | 0.952516 | − | 0.304490i | \(-0.0984860\pi\) |
−0.739954 | + | 0.672658i | \(0.765153\pi\) | |||||||
\(402\) | 1.79385 | + | 3.10704i | 0.0894692 | + | 0.154965i | ||||
\(403\) | 8.13120 | − | 14.0836i | 0.405044 | − | 0.701556i | ||||
\(404\) | −5.88114 | − | 10.1864i | −0.292597 | − | 0.506794i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.10880 | 0.203917 | ||||||||
\(407\) | 33.5311 | 1.66207 | ||||||||
\(408\) | −0.631078 | + | 1.09306i | −0.0312430 | + | 0.0541145i | ||||
\(409\) | 10.7353 | − | 18.5941i | 0.530826 | − | 0.919418i | −0.468527 | − | 0.883449i | \(-0.655215\pi\) |
0.999353 | − | 0.0359683i | \(-0.0114515\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.8628 | −0.585148 | ||||||||
\(412\) | 17.4350 | − | 30.1983i | 0.858962 | − | 1.48777i | ||||
\(413\) | 22.0983 | + | 38.2753i | 1.08738 | + | 1.88341i | ||||
\(414\) | −2.31199 | + | 4.00448i | −0.113628 | + | 0.196809i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −6.17746 | − | 10.6997i | −0.302875 | − | 0.524595i | ||||
\(417\) | 7.28662 | 0.356827 | ||||||||
\(418\) | −3.09653 | + | 6.28694i | −0.151456 | + | 0.307504i | ||||
\(419\) | −5.09378 | −0.248848 | −0.124424 | − | 0.992229i | \(-0.539708\pi\) | ||||
−0.124424 | + | 0.992229i | \(0.539708\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.82911 | − | 4.90017i | −0.137883 | − | 0.238820i | 0.788812 | − | 0.614634i | \(-0.210696\pi\) |
−0.926695 | + | 0.375815i | \(0.877363\pi\) | |||||||
\(422\) | 3.05611 | − | 5.29335i | 0.148769 | − | 0.257676i | ||||
\(423\) | −3.72525 | − | 6.45232i | −0.181128 | − | 0.313723i | ||||
\(424\) | −4.32232 | + | 7.48648i | −0.209910 | + | 0.363576i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.145907 | −0.00706920 | ||||||||
\(427\) | 10.0659 | − | 17.4346i | 0.487121 | − | 0.843719i | ||||
\(428\) | 8.31176 | − | 14.3964i | 0.401764 | − | 0.695876i | ||||
\(429\) | −18.8121 | −0.908256 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 19.1834 | − | 33.2267i | 0.924033 | − | 1.60047i | 0.130923 | − | 0.991392i | \(-0.458206\pi\) |
0.793109 | − | 0.609079i | \(-0.208461\pi\) | |||||||
\(432\) | 8.72041 | + | 15.1042i | 0.419561 | + | 0.726701i | ||||
\(433\) | −3.48125 | + | 6.02970i | −0.167298 | + | 0.289769i | −0.937469 | − | 0.348069i | \(-0.886838\pi\) |
0.770171 | + | 0.637838i | \(0.220171\pi\) | |||||||
\(434\) | −2.34767 | − | 4.06628i | −0.112692 | − | 0.195188i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.6035 | 0.555706 | ||||||||
\(437\) | 33.3319 | − | 2.20116i | 1.59448 | − | 0.105296i | ||||
\(438\) | 1.32443 | 0.0632839 | ||||||||
\(439\) | −4.76346 | − | 8.25055i | −0.227347 | − | 0.393777i | 0.729674 | − | 0.683796i | \(-0.239672\pi\) |
−0.957021 | + | 0.290018i | \(0.906339\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.64703 | − | 6.31685i | 0.173668 | − | 0.300802i | ||||
\(442\) | 0.554941 | + | 0.961187i | 0.0263959 | + | 0.0457190i | ||||
\(443\) | −17.3519 | + | 30.0544i | −0.824414 | + | 1.42793i | 0.0779516 | + | 0.996957i | \(0.475162\pi\) |
−0.902366 | + | 0.430971i | \(0.858171\pi\) | |||||||
\(444\) | 12.7170 | 0.603524 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.76302 | − | 3.05363i | 0.0834813 | − | 0.144594i | ||||
\(447\) | −6.56495 | + | 11.3708i | −0.310511 | + | 0.537821i | ||||
\(448\) | 18.9273 | 0.894233 | ||||||||
\(449\) | −8.84228 | −0.417293 | −0.208646 | − | 0.977991i | \(-0.566906\pi\) | ||||
−0.208646 | + | 0.977991i | \(0.566906\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.5852 | − | 30.4585i | −0.828056 | − | 1.43423i | ||||
\(452\) | 9.84371 | − | 17.0498i | 0.463009 | − | 0.801956i | ||||
\(453\) | 10.1110 | + | 17.5127i | 0.475056 | + | 0.822821i | ||||
\(454\) | 1.73238 | + | 3.00058i | 0.0813048 | + | 0.140824i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.40852 | + | 4.89005i | −0.112789 | + | 0.228998i | ||||
\(457\) | 0.664998 | 0.0311073 | 0.0155536 | − | 0.999879i | \(-0.495049\pi\) | ||||
0.0155536 | + | 0.999879i | \(0.495049\pi\) | |||||||
\(458\) | −0.546338 | − | 0.946285i | −0.0255287 | − | 0.0442170i | ||||
\(459\) | −2.56701 | − | 4.44619i | −0.119818 | − | 0.207531i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 19.7696 | + | 34.2420i | 0.920762 | + | 1.59481i | 0.798238 | + | 0.602342i | \(0.205766\pi\) |
0.122524 | + | 0.992466i | \(0.460901\pi\) | |||||||
\(462\) | −2.71574 | + | 4.70381i | −0.126348 | + | 0.218841i | ||||
\(463\) | −15.5782 | −0.723981 | −0.361991 | − | 0.932182i | \(-0.617903\pi\) | ||||
−0.361991 | + | 0.932182i | \(0.617903\pi\) | |||||||
\(464\) | −13.8039 | −0.640830 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.962875 | + | 1.66775i | −0.0446043 | + | 0.0772569i | ||||
\(467\) | 41.0358 | 1.89891 | 0.949456 | − | 0.313901i | \(-0.101636\pi\) | ||||
0.949456 | + | 0.313901i | \(0.101636\pi\) | |||||||
\(468\) | 13.0472 | 0.603107 | ||||||||
\(469\) | −18.3668 | + | 31.8122i | −0.848099 | + | 1.46895i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.58846 | + | 2.75130i | −0.0731925 | + | 0.126773i | ||||
\(472\) | 8.18025 | + | 14.1686i | 0.376527 | + | 0.652163i | ||||
\(473\) | 16.3053 | + | 28.2417i | 0.749721 | + | 1.29855i | ||||
\(474\) | 0.925375 | 0.0425039 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −6.30121 | −0.288816 | ||||||||
\(477\) | −6.90336 | − | 11.9570i | −0.316083 | − | 0.547472i | ||||
\(478\) | −1.88565 | − | 3.26604i | −0.0862475 | − | 0.149385i | ||||
\(479\) | 11.7794 | − | 20.4024i | 0.538213 | − | 0.932211i | −0.460788 | − | 0.887510i | \(-0.652433\pi\) |
0.999000 | − | 0.0447012i | \(-0.0142336\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.4671 | − | 19.8617i | 0.522857 | − | 0.905614i | ||||
\(482\) | −1.58728 | −0.0722988 | ||||||||
\(483\) | 25.8893 | 1.17800 | ||||||||
\(484\) | 14.9472 | − | 25.8894i | 0.679420 | − | 1.17679i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.93338 | 0.223783 | ||||||||
\(487\) | −23.9166 | −1.08377 | −0.541883 | − | 0.840454i | \(-0.682288\pi\) | ||||
−0.541883 | + | 0.840454i | \(0.682288\pi\) | |||||||
\(488\) | 3.72614 | − | 6.45387i | 0.168675 | − | 0.292153i | ||||
\(489\) | 11.5713 | + | 20.0421i | 0.523272 | + | 0.906334i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −8.17373 | − | 14.1573i | −0.368875 | − | 0.638911i | 0.620515 | − | 0.784195i | \(-0.286924\pi\) |
−0.989390 | + | 0.145284i | \(0.953590\pi\) | |||||||
\(492\) | −6.66940 | − | 11.5517i | −0.300680 | − | 0.520793i | ||||
\(493\) | 4.06343 | 0.183007 | ||||||||
\(494\) | 2.66502 | + | 3.98423i | 0.119905 | + | 0.179259i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.88720 | + | 13.6610i | 0.354146 | + | 0.613398i | ||||
\(497\) | −0.746950 | − | 1.29375i | −0.0335053 | − | 0.0580328i | ||||
\(498\) | 0.881169 | − | 1.52623i | 0.0394861 | − | 0.0683920i | ||||
\(499\) | 16.0354 | + | 27.7742i | 0.717844 | + | 1.24334i | 0.961852 | + | 0.273569i | \(0.0882041\pi\) |
−0.244009 | + | 0.969773i | \(0.578463\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 10.8542 | 0.484930 | ||||||||
\(502\) | 7.90972 | 0.353028 | ||||||||
\(503\) | −7.36269 | + | 12.7525i | −0.328286 | + | 0.568608i | −0.982172 | − | 0.187985i | \(-0.939804\pi\) |
0.653886 | + | 0.756593i | \(0.273138\pi\) | |||||||
\(504\) | 3.86282 | − | 6.69060i | 0.172064 | − | 0.298023i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 12.3212 | 0.547746 | ||||||||
\(507\) | 0.260461 | − | 0.451131i | 0.0115675 | − | 0.0200354i | ||||
\(508\) | 3.20418 | + | 5.54980i | 0.142162 | + | 0.246232i | ||||
\(509\) | 11.0332 | − | 19.1100i | 0.489037 | − | 0.847036i | −0.510884 | − | 0.859650i | \(-0.670682\pi\) |
0.999920 | + | 0.0126136i | \(0.00401513\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.78026 | + | 11.7438i | 0.299941 | + | 0.519513i | ||||
\(512\) | 20.3111 | 0.897633 | ||||||||
\(513\) | −12.3277 | − | 18.4300i | −0.544280 | − | 0.813705i | ||||
\(514\) | 5.73990 | 0.253176 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.18399 | + | 10.7110i | 0.272235 | + | 0.471525i | ||||
\(517\) | −9.92647 | + | 17.1931i | −0.436565 | + | 0.756154i | ||||
\(518\) | −3.31083 | − | 5.73453i | −0.145470 | − | 0.251961i | ||||
\(519\) | −11.8112 | + | 20.4577i | −0.518456 | + | 0.897992i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.7781 | −0.647442 | −0.323721 | − | 0.946153i | \(-0.604934\pi\) | ||||
−0.323721 | + | 0.946153i | \(0.604934\pi\) | |||||||
\(522\) | −1.21461 | + | 2.10377i | −0.0531621 | + | 0.0920794i | ||||
\(523\) | 6.35498 | − | 11.0072i | 0.277884 | − | 0.481309i | −0.692975 | − | 0.720962i | \(-0.743700\pi\) |
0.970859 | + | 0.239653i | \(0.0770336\pi\) | |||||||
\(524\) | −4.60916 | −0.201352 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.01452 | + | 3.48924i | −0.0878371 | + | 0.152138i | ||||
\(527\) | −2.32174 | − | 4.02137i | −0.101136 | − | 0.175174i | ||||
\(528\) | 9.12378 | − | 15.8029i | 0.397062 | − | 0.687731i | ||||
\(529\) | −17.8647 | − | 30.9426i | −0.776726 | − | 1.34533i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.1301 | −1.13395 | ||||||||
\(532\) | −27.1546 | + | 1.79323i | −1.17730 | + | 0.0777464i | ||||
\(533\) | −24.0556 | −1.04196 | ||||||||
\(534\) | 1.14197 | + | 1.97796i | 0.0494180 | + | 0.0855946i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.79894 | + | 11.7761i | −0.293670 | + | 0.508651i | ||||
\(537\) | −11.9824 | − | 20.7541i | −0.517079 | − | 0.895607i | ||||
\(538\) | −0.0243433 | + | 0.0421638i | −0.00104951 | + | 0.00181781i | ||||
\(539\) | −19.4361 | −0.837172 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.1172 | − | 26.1838i | 0.649941 | − | 1.12573i | −0.333196 | − | 0.942858i | \(-0.608127\pi\) |
0.983137 | − | 0.182873i | \(-0.0585396\pi\) | |||||||
\(542\) | −4.32736 | + | 7.49521i | −0.185876 | + | 0.321947i | ||||
\(543\) | −16.4433 | −0.705649 | ||||||||
\(544\) | −3.52776 | −0.151251 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.85749 | + | 3.21727i | 0.0794933 | + | 0.137686i | ||||
\(547\) | 3.90372 | − | 6.76144i | 0.166911 | − | 0.289098i | −0.770421 | − | 0.637535i | \(-0.779954\pi\) |
0.937332 | + | 0.348437i | \(0.113287\pi\) | |||||||
\(548\) | −10.9617 | − | 18.9861i | −0.468259 | − | 0.811048i | ||||
\(549\) | 5.95118 | + | 10.3077i | 0.253990 | + | 0.439924i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 17.5110 | − | 1.15639i | 0.745995 | − | 0.0492639i | ||||
\(552\) | 9.58359 | 0.407905 | ||||||||
\(553\) | 4.73733 | + | 8.20530i | 0.201452 | + | 0.348925i | ||||
\(554\) | 0.0815198 | + | 0.141196i | 0.00346345 | + | 0.00599886i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.73311 | + | 11.6621i | 0.285548 | + | 0.494583i | ||||
\(557\) | −1.20747 | + | 2.09141i | −0.0511623 | + | 0.0886157i | −0.890472 | − | 0.455037i | \(-0.849626\pi\) |
0.839310 | + | 0.543653i | \(0.182959\pi\) | |||||||
\(558\) | 2.77599 | 0.117517 | ||||||||
\(559\) | 22.3048 | 0.943392 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.68575 | + | 4.65186i | −0.113392 | + | 0.196402i | ||||
\(562\) | −1.52078 | −0.0641500 | ||||||||
\(563\) | 25.3392 | 1.06792 | 0.533960 | − | 0.845510i | \(-0.320703\pi\) | ||||
0.533960 | + | 0.845510i | \(0.320703\pi\) | |||||||
\(564\) | −3.76473 | + | 6.52070i | −0.158524 | + | 0.274571i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.78109 | − | 4.81699i | 0.116898 | − | 0.202473i | ||||
\(567\) | 0.950905 | + | 1.64702i | 0.0399342 | + | 0.0691681i | ||||
\(568\) | −0.276503 | − | 0.478917i | −0.0116018 | − | 0.0200949i | ||||
\(569\) | −45.1046 | −1.89088 | −0.945441 | − | 0.325793i | \(-0.894369\pi\) | ||||
−0.945441 | + | 0.325793i | \(0.894369\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.73299 | −0.407313 | −0.203656 | − | 0.979042i | \(-0.565283\pi\) | ||||
−0.203656 | + | 0.979042i | \(0.565283\pi\) | |||||||
\(572\) | −17.3831 | − | 30.1084i | −0.726823 | − | 1.25889i | ||||
\(573\) | 1.25949 | + | 2.18149i | 0.0526158 | + | 0.0911332i | ||||
\(574\) | −3.47270 | + | 6.01490i | −0.144948 | + | 0.251057i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −5.59515 | + | 9.69108i | −0.233131 | + | 0.403795i | ||||
\(577\) | −8.83145 | −0.367658 | −0.183829 | − | 0.982958i | \(-0.558849\pi\) | ||||
−0.183829 | + | 0.982958i | \(0.558849\pi\) | |||||||
\(578\) | −4.97192 | −0.206805 | ||||||||
\(579\) | 9.80691 | − | 16.9861i | 0.407561 | − | 0.705917i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.0441 | 0.748596 | ||||||||
\(582\) | −3.46823 | −0.143763 | ||||||||
\(583\) | −18.3950 | + | 31.8611i | −0.761843 | + | 1.31955i | ||||
\(584\) | 2.50989 | + | 4.34726i | 0.103860 | + | 0.179891i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.12839 | − | 1.95442i | −0.0466132 | − | 0.0807365i | ||||
\(587\) | 13.4966 | + | 23.3768i | 0.557065 | + | 0.964865i | 0.997740 | + | 0.0671982i | \(0.0214060\pi\) |
−0.440674 | + | 0.897667i | \(0.645261\pi\) | |||||||
\(588\) | −7.37137 | −0.303990 | ||||||||
\(589\) | −11.1498 | − | 16.6691i | −0.459419 | − | 0.686837i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.18489 | + | 5.51639i | 0.131009 | + | 0.226914i | ||||
\(592\) | 11.1230 | + | 19.2657i | 0.457154 | + | 0.791814i | ||||
\(593\) | 10.6170 | − | 18.3891i | 0.435987 | − | 0.755151i | −0.561389 | − | 0.827552i | \(-0.689733\pi\) |
0.997376 | + | 0.0724009i | \(0.0230661\pi\) | |||||||
\(594\) | −4.08923 | − | 7.08276i | −0.167783 | − | 0.290609i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.2650 | −0.993934 | ||||||||
\(597\) | 7.42562 | 0.303910 | ||||||||
\(598\) | 4.21369 | − | 7.29832i | 0.172311 | − | 0.298451i | ||||
\(599\) | 15.1647 | − | 26.2660i | 0.619612 | − | 1.07320i | −0.369945 | − | 0.929054i | \(-0.620623\pi\) |
0.989556 | − | 0.144146i | \(-0.0460434\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.7285 | −0.437624 | −0.218812 | − | 0.975767i | \(-0.570218\pi\) | ||||
−0.218812 | + | 0.975767i | \(0.570218\pi\) | |||||||
\(602\) | 3.21996 | − | 5.57713i | 0.131236 | − | 0.227307i | ||||
\(603\) | −10.8589 | − | 18.8081i | −0.442208 | − | 0.765926i | ||||
\(604\) | −18.6859 | + | 32.3649i | −0.760317 | + | 1.31691i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.990039 | + | 1.71480i | 0.0402176 | + | 0.0696589i | ||||
\(607\) | 8.81498 | 0.357789 | 0.178894 | − | 0.983868i | \(-0.442748\pi\) | ||||
0.178894 | + | 0.983868i | \(0.442748\pi\) | |||||||
\(608\) | −15.2026 | + | 1.00395i | −0.616548 | + | 0.0407154i | ||||
\(609\) | 13.6010 | 0.551142 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.78942 | + | 11.7596i | 0.274671 | + | 0.475743i | ||||
\(612\) | 1.86271 | − | 3.22631i | 0.0752957 | − | 0.130416i | ||||
\(613\) | −12.0654 | − | 20.8978i | −0.487315 | − | 0.844055i | 0.512578 | − | 0.858640i | \(-0.328690\pi\) |
−0.999894 | + | 0.0145856i | \(0.995357\pi\) | |||||||
\(614\) | −2.23691 | + | 3.87445i | −0.0902744 | + | 0.156360i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −20.5861 | −0.829436 | ||||||||
\(617\) | 7.73248 | − | 13.3930i | 0.311298 | − | 0.539183i | −0.667346 | − | 0.744748i | \(-0.732570\pi\) |
0.978644 | + | 0.205564i | \(0.0659030\pi\) | |||||||
\(618\) | −2.93504 | + | 5.08363i | −0.118065 | + | 0.204494i | ||||
\(619\) | 0.0390990 | 0.00157152 | 0.000785761 | − | 1.00000i | \(-0.499750\pi\) | ||||
0.000785761 | 1.00000i | \(0.499750\pi\) | ||||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −19.4914 | + | 33.7601i | −0.782163 | + | 1.35475i | ||||
\(622\) | −1.32624 | − | 2.29711i | −0.0531772 | − | 0.0921057i | ||||
\(623\) | −11.6924 | + | 20.2518i | −0.468445 | + | 0.811370i | ||||
\(624\) | −6.24041 | − | 10.8087i | −0.249816 | − | 0.432694i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −6.64584 | −0.265621 | ||||||||
\(627\) | −10.2502 | + | 20.8112i | −0.409353 | + | 0.831117i | ||||
\(628\) | −5.87120 | −0.234286 | ||||||||
\(629\) | −3.27427 | − | 5.67119i | −0.130554 | − | 0.226125i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.36758 | + | 5.83282i | −0.134061 | + | 0.232201i | −0.925238 | − | 0.379386i | \(-0.876135\pi\) |
0.791177 | + | 0.611587i | \(0.209469\pi\) | |||||||
\(632\) | 1.75365 | + | 3.03741i | 0.0697564 | + | 0.120822i | ||||
\(633\) | 10.1164 | − | 17.5221i | 0.402091 | − | 0.696442i | ||||
\(634\) | 8.73989 | 0.347105 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.97651 | + | 12.0837i | −0.276637 | + | 0.479149i | ||||
\(637\) | −6.64687 | + | 11.5127i | −0.263358 | + | 0.456150i | ||||
\(638\) | 6.47301 | 0.256269 | ||||||||
\(639\) | 0.883229 | 0.0349400 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.7894 | − | 23.8840i | −0.544649 | − | 0.943360i | −0.998629 | − | 0.0523477i | \(-0.983330\pi\) |
0.453980 | − | 0.891012i | \(-0.350004\pi\) | |||||||
\(642\) | −1.39921 | + | 2.42351i | −0.0552226 | + | 0.0956483i | ||||
\(643\) | −5.95407 | − | 10.3128i | −0.234806 | − | 0.406695i | 0.724410 | − | 0.689369i | \(-0.242112\pi\) |
−0.959216 | + | 0.282673i | \(0.908779\pi\) | |||||||
\(644\) | 23.9227 | + | 41.4353i | 0.942685 | + | 1.63278i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.36570 | − | 0.0901878i | 0.0537327 | − | 0.00354839i | ||||
\(647\) | −11.6648 | −0.458590 | −0.229295 | − | 0.973357i | \(-0.573642\pi\) | ||||
−0.229295 | + | 0.973357i | \(0.573642\pi\) | |||||||
\(648\) | 0.352002 | + | 0.609686i | 0.0138280 | + | 0.0239507i | ||||
\(649\) | 34.8136 | + | 60.2990i | 1.36656 | + | 2.36694i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.77128 | − | 13.4603i | −0.304581 | − | 0.527549i | ||||
\(652\) | −21.3846 | + | 37.0393i | −0.837487 | + | 1.45057i | ||||
\(653\) | −40.7527 | −1.59477 | −0.797387 | − | 0.603468i | \(-0.793785\pi\) | ||||
−0.797387 | + | 0.603468i | \(0.793785\pi\) | |||||||
\(654\) | −1.95335 | −0.0763819 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 11.6669 | − | 20.2076i | 0.455514 | − | 0.788974i | ||||
\(657\) | −8.01730 | −0.312785 | ||||||||
\(658\) | 3.92053 | 0.152838 | ||||||||
\(659\) | 11.5723 | − | 20.0438i | 0.450793 | − | 0.780796i | −0.547643 | − | 0.836712i | \(-0.684475\pi\) |
0.998435 | + | 0.0559165i | \(0.0178081\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.44485 | + | 4.23460i | −0.0950936 | + | 0.164707i | −0.909648 | − | 0.415381i | \(-0.863648\pi\) |
0.814554 | + | 0.580088i | \(0.196982\pi\) | |||||||
\(662\) | −2.36015 | − | 4.08789i | −0.0917297 | − | 0.158880i | ||||
\(663\) | 1.83698 | + | 3.18174i | 0.0713423 | + | 0.123568i | ||||
\(664\) | 6.67950 | 0.259215 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.91488 | 0.151699 | ||||||||
\(667\) | −15.4269 | − | 26.7201i | −0.597331 | − | 1.03461i | ||||
\(668\) | 10.0297 | + | 17.3719i | 0.388060 | + | 0.672140i | ||||
\(669\) | 5.83597 | − | 10.1082i | 0.225632 | − | 0.390805i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15.8578 | − | 27.4665i | 0.612182 | − | 1.06033i | ||||
\(672\) | −11.8081 | −0.455506 | ||||||||
\(673\) | 29.5149 | 1.13771 | 0.568857 | − | 0.822436i | \(-0.307386\pi\) | ||||
0.568857 | + | 0.822436i | \(0.307386\pi\) | |||||||
\(674\) | 2.72232 | − | 4.71520i | 0.104860 | − | 0.181623i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.962701 | 0.0370270 | ||||||||
\(677\) | −29.4248 | −1.13089 | −0.565443 | − | 0.824788i | \(-0.691295\pi\) | ||||
−0.565443 | + | 0.824788i | \(0.691295\pi\) | |||||||
\(678\) | −1.65711 | + | 2.87019i | −0.0636408 | + | 0.110229i | ||||
\(679\) | −17.7551 | − | 30.7528i | −0.681380 | − | 1.18018i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.73457 | + | 9.93256i | 0.219749 | + | 0.380616i | ||||
\(682\) | −3.69852 | − | 6.40602i | −0.141623 | − | 0.245299i | ||||
\(683\) | 29.9433 | 1.14575 | 0.572875 | − | 0.819643i | \(-0.305828\pi\) | ||||
0.572875 | + | 0.819643i | \(0.305828\pi\) | |||||||
\(684\) | 7.10907 | − | 14.4337i | 0.271822 | − | 0.551885i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −1.65283 | − | 2.86278i | −0.0631053 | − | 0.109302i | ||||
\(687\) | −1.80850 | − | 3.13241i | −0.0689985 | − | 0.119509i | ||||
\(688\) | −10.8177 | + | 18.7369i | −0.412422 | + | 0.714336i | ||||
\(689\) | 12.5816 | + | 21.7921i | 0.479323 | + | 0.830211i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −24.2225 | −0.921467 | −0.460733 | − | 0.887539i | \(-0.652414\pi\) | ||||
−0.460733 | + | 0.887539i | \(0.652414\pi\) | |||||||
\(692\) | −43.6561 | −1.65956 | ||||||||
\(693\) | 16.4394 | − | 28.4739i | 0.624482 | − | 1.08164i | ||||
\(694\) | −2.70177 | + | 4.67960i | −0.102558 | + | 0.177635i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.03478 | 0.190843 | ||||||||
\(697\) | −3.43435 | + | 5.94847i | −0.130085 | + | 0.225314i | ||||
\(698\) | 5.32871 | + | 9.22959i | 0.201695 | + | 0.349345i | ||||
\(699\) | −3.18733 | + | 5.52061i | −0.120556 | + | 0.208809i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.42695 | + | 12.8639i | 0.280512 | + | 0.485861i | 0.971511 | − | 0.236995i | \(-0.0761624\pi\) |
−0.690999 | + | 0.722856i | \(0.742829\pi\) | |||||||
\(702\) | −5.59384 | −0.211126 | ||||||||
\(703\) | −15.7241 | − | 23.5078i | −0.593047 | − | 0.886613i | ||||
\(704\) | 29.8182 | 1.12381 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.43330 | − | 9.41075i | −0.204485 | − | 0.354178i | ||||
\(707\) | −10.1367 | + | 17.5574i | −0.381232 | + | 0.660313i | ||||
\(708\) | 13.2035 | + | 22.8691i | 0.496217 | + | 0.859473i | ||||
\(709\) | 14.9004 | − | 25.8083i | 0.559598 | − | 0.969252i | −0.437932 | − | 0.899008i | \(-0.644289\pi\) |
0.997530 | − | 0.0702441i | \(-0.0223778\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.60165 | −0.210078 | ||||||||
\(712\) | −4.32823 | + | 7.49672i | −0.162207 | + | 0.280952i | ||||
\(713\) | −17.6290 | + | 30.5344i | −0.660213 | + | 1.14352i | ||||
\(714\) | 1.06076 | 0.0396978 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 22.1444 | − | 38.3552i | 0.827575 | − | 1.43340i | ||||
\(717\) | −6.24190 | − | 10.8113i | −0.233108 | − | 0.403755i | ||||
\(718\) | 0.151905 | − | 0.263108i | 0.00566906 | − | 0.00981910i | ||||
\(719\) | 12.9463 | + | 22.4236i | 0.482814 | + | 0.836258i | 0.999805 | − | 0.0197322i | \(-0.00628136\pi\) |
−0.516991 | + | 0.855991i | \(0.672948\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −60.1021 | −2.23832 | ||||||||
\(722\) | 5.85972 | − | 0.777316i | 0.218076 | − | 0.0289287i | ||||
\(723\) | −5.25426 | −0.195408 | ||||||||
\(724\) | −15.1942 | − | 26.3171i | −0.564688 | − | 0.978069i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −2.51624 | + | 4.35826i | −0.0933865 | + | 0.161750i | ||||
\(727\) | −4.67442 | − | 8.09634i | −0.173365 | − | 0.300277i | 0.766229 | − | 0.642567i | \(-0.222131\pi\) |
−0.939594 | + | 0.342291i | \(0.888797\pi\) | |||||||
\(728\) | −7.04014 | + | 12.1939i | −0.260925 | + | 0.451935i | ||||
\(729\) | 14.5913 | 0.540419 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.18439 | − | 5.51553i | 0.117779 | − | 0.203999i | ||||
\(732\) | 6.01424 | − | 10.4170i | 0.222293 | − | 0.385022i | ||||
\(733\) | 7.20434 | 0.266098 | 0.133049 | − | 0.991109i | \(-0.457523\pi\) | ||||
0.133049 | + | 0.991109i | \(0.457523\pi\) | |||||||
\(734\) | 3.06950 | 0.113297 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.3932 | + | 23.1977i | 0.493680 | + | 0.855079i | ||||
\(737\) | −28.9350 | + | 50.1170i | −1.06584 | + | 1.84608i | ||||
\(738\) | −2.05314 | − | 3.55615i | −0.0755773 | − | 0.130904i | ||||
\(739\) | −6.48702 | − | 11.2359i | −0.238629 | − | 0.413318i | 0.721692 | − | 0.692214i | \(-0.243365\pi\) |
−0.960321 | + | 0.278897i | \(0.910031\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.82179 | + | 13.1887i | 0.324077 | + | 0.484498i | ||||
\(742\) | 7.26523 | 0.266715 | ||||||||
\(743\) | −4.61550 | − | 7.99428i | −0.169326 | − | 0.293282i | 0.768857 | − | 0.639421i | \(-0.220826\pi\) |
−0.938183 | + | 0.346139i | \(0.887492\pi\) | |||||||
\(744\) | −2.87674 | − | 4.98267i | −0.105467 | − | 0.182673i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.01475 | + | 3.48965i | 0.0737652 | + | 0.127765i | ||||
\(747\) | −5.33405 | + | 9.23885i | −0.195163 | + | 0.338032i | ||||
\(748\) | −9.92694 | −0.362965 | ||||||||
\(749\) | −28.6523 | −1.04693 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.46131 | + | 12.9234i | −0.272267 | + | 0.471580i | −0.969442 | − | 0.245321i | \(-0.921107\pi\) |
0.697175 | + | 0.716901i | \(0.254440\pi\) | |||||||
\(752\) | −13.1714 | −0.480310 | ||||||||
\(753\) | 26.1829 | 0.954157 | ||||||||
\(754\) | 2.21368 | − | 3.83420i | 0.0806174 | − | 0.139633i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 15.8791 | − | 27.5035i | 0.577519 | − | 1.00029i | ||||
\(757\) | −12.2488 | − | 21.2156i | −0.445191 | − | 0.771093i | 0.552874 | − | 0.833265i | \(-0.313531\pi\) |
−0.998066 | + | 0.0621711i | \(0.980198\pi\) | |||||||
\(758\) | −0.811365 | − | 1.40532i | −0.0294701 | − | 0.0510437i | ||||
\(759\) | 40.7860 | 1.48044 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.8968 | −0.576260 | −0.288130 | − | 0.957591i | \(-0.593034\pi\) | ||||
−0.288130 | + | 0.957591i | \(0.593034\pi\) | |||||||
\(762\) | −0.539396 | − | 0.934262i | −0.0195403 | − | 0.0338447i | ||||
\(763\) | −9.99990 | − | 17.3203i | −0.362021 | − | 0.627038i | ||||
\(764\) | −2.32762 | + | 4.03156i | −0.0842105 | + | 0.145857i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.21593 | + | 9.03426i | −0.188459 | + | 0.326421i | ||||
\(767\) | 47.6231 | 1.71957 | ||||||||
\(768\) | 9.06916 | 0.327255 | ||||||||
\(769\) | 14.7925 | − | 25.6214i | 0.533432 | − | 0.923931i | −0.465806 | − | 0.884887i | \(-0.654235\pi\) |
0.999238 | − | 0.0390437i | \(-0.0124312\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.0003 | 0.684280 | ||||||||
\(772\) | 36.2478 | 1.30459 | ||||||||
\(773\) | −7.06551 | + | 12.2378i | −0.254129 | + | 0.440164i | −0.964658 | − | 0.263503i | \(-0.915122\pi\) |
0.710530 | + | 0.703667i | \(0.248455\pi\) | |||||||
\(774\) | 1.90371 | + | 3.29733i | 0.0684276 | + | 0.118520i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −6.57253 | − | 11.3840i | −0.235940 | − | 0.408660i | ||||
\(777\) | −10.9596 | − | 18.9825i | −0.393172 | − | 0.680995i |