Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 214.4 | ||
Root | \(-0.335166 + 0.580525i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.214 |
Dual form | 441.2.h.f.373.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.670333 | 0.473997 | 0.236998 | − | 0.971510i | \(-0.423836\pi\) | ||||
0.236998 | + | 0.971510i | \(0.423836\pi\) | |||||||
\(3\) | −1.65263 | + | 0.518475i | −0.954146 | + | 0.299342i | ||||
\(4\) | −1.55065 | −0.775327 | ||||||||
\(5\) | 0.712469 | − | 1.23403i | 0.318626 | − | 0.551876i | −0.661576 | − | 0.749878i | \(-0.730112\pi\) |
0.980202 | + | 0.198002i | \(0.0634454\pi\) | |||||||
\(6\) | −1.10781 | + | 0.347551i | −0.452262 | + | 0.141887i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.38012 | −0.841499 | ||||||||
\(9\) | 2.46237 | − | 1.71369i | 0.820789 | − | 0.571231i | ||||
\(10\) | 0.477591 | − | 0.827212i | 0.151028 | − | 0.261587i | ||||
\(11\) | 2.46539 | + | 4.27018i | 0.743342 | + | 1.28751i | 0.950965 | + | 0.309297i | \(0.100094\pi\) |
−0.207623 | + | 0.978209i | \(0.566573\pi\) | |||||||
\(12\) | 2.56266 | − | 0.803975i | 0.739775 | − | 0.232088i | ||||
\(13\) | 1.37730 | + | 2.38556i | 0.381995 | + | 0.661635i | 0.991347 | − | 0.131265i | \(-0.0419038\pi\) |
−0.609352 | + | 0.792900i | \(0.708571\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.537632 | + | 2.40879i | −0.138816 | + | 0.621948i | ||||
\(16\) | 1.50584 | 0.376459 | ||||||||
\(17\) | −0.559839 | + | 0.969670i | −0.135781 | + | 0.235180i | −0.925896 | − | 0.377780i | \(-0.876688\pi\) |
0.790115 | + | 0.612959i | \(0.210021\pi\) | |||||||
\(18\) | 1.65061 | − | 1.14874i | 0.389051 | − | 0.270762i | ||||
\(19\) | 2.00752 | + | 3.47713i | 0.460557 | + | 0.797709i | 0.998989 | − | 0.0449606i | \(-0.0143162\pi\) |
−0.538431 | + | 0.842669i | \(0.680983\pi\) | |||||||
\(20\) | −1.10479 | + | 1.91356i | −0.247039 | + | 0.427884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.65263 | + | 2.86244i | 0.352342 | + | 0.610274i | ||||
\(23\) | −2.71830 | + | 4.70824i | −0.566806 | + | 0.981736i | 0.430073 | + | 0.902794i | \(0.358488\pi\) |
−0.996879 | + | 0.0789424i | \(0.974846\pi\) | |||||||
\(24\) | 3.93346 | − | 1.23403i | 0.802913 | − | 0.251896i | ||||
\(25\) | 1.48478 | + | 2.57171i | 0.296955 | + | 0.514342i | ||||
\(26\) | 0.923251 | + | 1.59912i | 0.181064 | + | 0.313613i | ||||
\(27\) | −3.18087 | + | 4.10878i | −0.612160 | + | 0.790734i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.40555 | − | 5.89858i | 0.632394 | − | 1.09534i | −0.354667 | − | 0.934993i | \(-0.615406\pi\) |
0.987061 | − | 0.160346i | \(-0.0512611\pi\) | |||||||
\(30\) | −0.360392 | + | 1.61469i | −0.0657984 | + | 0.294801i | ||||
\(31\) | −2.50584 | −0.450061 | −0.225031 | − | 0.974352i | \(-0.572248\pi\) | ||||
−0.225031 | + | 0.974352i | \(0.572248\pi\) | |||||||
\(32\) | 5.76965 | 1.01994 | ||||||||
\(33\) | −6.28835 | − | 5.77878i | −1.09466 | − | 1.00596i | ||||
\(34\) | −0.375279 | + | 0.650002i | −0.0643597 | + | 0.111474i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.81828 | + | 2.65735i | −0.636380 | + | 0.442891i | ||||
\(37\) | 0.709787 | + | 1.22939i | 0.116688 | + | 0.202110i | 0.918453 | − | 0.395529i | \(-0.129439\pi\) |
−0.801765 | + | 0.597639i | \(0.796106\pi\) | |||||||
\(38\) | 1.34571 | + | 2.33083i | 0.218303 | + | 0.378111i | ||||
\(39\) | −3.51302 | − | 3.22835i | −0.562534 | − | 0.516949i | ||||
\(40\) | −1.69576 | + | 2.93714i | −0.268123 | + | 0.464403i | ||||
\(41\) | −0.124384 | − | 0.215440i | −0.0194256 | − | 0.0336460i | 0.856149 | − | 0.516729i | \(-0.172850\pi\) |
−0.875575 | + | 0.483083i | \(0.839517\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.498313 | + | 0.863104i | −0.0759921 | + | 0.131622i | −0.901517 | − | 0.432743i | \(-0.857546\pi\) |
0.825525 | + | 0.564365i | \(0.190879\pi\) | |||||||
\(44\) | −3.82296 | − | 6.62156i | −0.576333 | − | 0.998238i | ||||
\(45\) | −0.360392 | − | 4.25959i | −0.0537241 | − | 0.634983i | ||||
\(46\) | −1.82217 | + | 3.15609i | −0.268664 | + | 0.465340i | ||||
\(47\) | 9.47579 | 1.38219 | 0.691093 | − | 0.722766i | \(-0.257129\pi\) | ||||
0.691093 | + | 0.722766i | \(0.257129\pi\) | |||||||
\(48\) | −2.48859 | + | 0.780738i | −0.359197 | + | 0.112690i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.995294 | + | 1.72390i | 0.140756 | + | 0.243796i | ||||
\(51\) | 0.422457 | − | 1.89277i | 0.0591559 | − | 0.265041i | ||||
\(52\) | −2.13572 | − | 3.69917i | −0.296171 | − | 0.512983i | ||||
\(53\) | −0.410229 | + | 0.710537i | −0.0563493 | + | 0.0975998i | −0.892824 | − | 0.450406i | \(-0.851279\pi\) |
0.836475 | + | 0.548005i | \(0.184613\pi\) | |||||||
\(54\) | −2.13224 | + | 2.75425i | −0.290162 | + | 0.374805i | ||||
\(55\) | 7.02604 | 0.947392 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.12050 | − | 4.70556i | −0.678226 | − | 0.623267i | ||||
\(58\) | 2.28285 | − | 3.95401i | 0.299753 | − | 0.519187i | ||||
\(59\) | 6.58407 | 0.857173 | 0.428586 | − | 0.903501i | \(-0.359012\pi\) | ||||
0.428586 | + | 0.903501i | \(0.359012\pi\) | |||||||
\(60\) | 0.833682 | − | 3.73521i | 0.107628 | − | 0.482213i | ||||
\(61\) | −0.0752645 | −0.00963663 | −0.00481831 | − | 0.999988i | \(-0.501534\pi\) | ||||
−0.00481831 | + | 0.999988i | \(0.501534\pi\) | |||||||
\(62\) | −1.67974 | −0.213328 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.855913 | 0.106989 | ||||||||
\(65\) | 3.92514 | 0.486854 | ||||||||
\(66\) | −4.21529 | − | 3.87370i | −0.518866 | − | 0.476820i | ||||
\(67\) | −12.5877 | −1.53783 | −0.768916 | − | 0.639350i | \(-0.779204\pi\) | ||||
−0.768916 | + | 0.639350i | \(0.779204\pi\) | |||||||
\(68\) | 0.868117 | − | 1.50362i | 0.105275 | − | 0.182341i | ||||
\(69\) | 2.05125 | − | 9.19035i | 0.246941 | − | 1.10639i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.0804951 | 0.00955301 | 0.00477651 | − | 0.999989i | \(-0.498480\pi\) | ||||
0.00477651 | + | 0.999989i | \(0.498480\pi\) | |||||||
\(72\) | −5.86073 | + | 4.07880i | −0.690694 | + | 0.480691i | ||||
\(73\) | −5.34551 | + | 9.25869i | −0.625644 | + | 1.08365i | 0.362772 | + | 0.931878i | \(0.381830\pi\) |
−0.988416 | + | 0.151769i | \(0.951503\pi\) | |||||||
\(74\) | 0.475793 | + | 0.824098i | 0.0553098 | + | 0.0957995i | ||||
\(75\) | −3.78715 | − | 3.48026i | −0.437303 | − | 0.401866i | ||||
\(76\) | −3.11297 | − | 5.39183i | −0.357083 | − | 0.618485i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.35489 | − | 2.16407i | −0.266639 | − | 0.245032i | ||||
\(79\) | −1.84491 | −0.207569 | −0.103785 | − | 0.994600i | \(-0.533095\pi\) | ||||
−0.103785 | + | 0.994600i | \(0.533095\pi\) | |||||||
\(80\) | 1.07286 | − | 1.85825i | 0.119950 | − | 0.207759i | ||||
\(81\) | 3.12651 | − | 8.43949i | 0.347390 | − | 0.937721i | ||||
\(82\) | −0.0833788 | − | 0.144416i | −0.00920765 | − | 0.0159481i | ||||
\(83\) | 7.23583 | − | 12.5328i | 0.794236 | − | 1.37566i | −0.129088 | − | 0.991633i | \(-0.541205\pi\) |
0.923323 | − | 0.384023i | \(-0.125462\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.797736 | + | 1.38172i | 0.0865266 | + | 0.149868i | ||||
\(86\) | −0.334036 | + | 0.578567i | −0.0360200 | + | 0.0623885i | ||||
\(87\) | −2.56984 | + | 11.5139i | −0.275516 | + | 1.23442i | ||||
\(88\) | −5.86792 | − | 10.1635i | −0.625522 | − | 1.08344i | ||||
\(89\) | −6.76292 | − | 11.7137i | −0.716868 | − | 1.24165i | −0.962235 | − | 0.272222i | \(-0.912242\pi\) |
0.245366 | − | 0.969430i | \(-0.421092\pi\) | |||||||
\(90\) | −0.241583 | − | 2.85534i | −0.0254651 | − | 0.300980i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.21515 | − | 7.30085i | 0.439460 | − | 0.761167i | ||||
\(93\) | 4.14122 | − | 1.29921i | 0.429424 | − | 0.134722i | ||||
\(94\) | 6.35193 | 0.655152 | ||||||||
\(95\) | 5.72119 | 0.586982 | ||||||||
\(96\) | −9.53509 | + | 2.99142i | −0.973171 | + | 0.305310i | ||||
\(97\) | −2.70160 | + | 4.67930i | −0.274306 | + | 0.475111i | −0.969960 | − | 0.243266i | \(-0.921781\pi\) |
0.695654 | + | 0.718377i | \(0.255115\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.3885 | + | 6.28982i | 1.34559 | + | 0.632151i | ||||
\(100\) | −2.30238 | − | 3.98783i | −0.230238 | − | 0.398783i | ||||
\(101\) | −2.56770 | − | 4.44739i | −0.255496 | − | 0.442531i | 0.709534 | − | 0.704671i | \(-0.248905\pi\) |
−0.965030 | + | 0.262139i | \(0.915572\pi\) | |||||||
\(102\) | 0.283187 | − | 1.26878i | 0.0280397 | − | 0.125628i | ||||
\(103\) | −7.10561 | + | 12.3073i | −0.700137 | + | 1.21267i | 0.268282 | + | 0.963341i | \(0.413544\pi\) |
−0.968418 | + | 0.249332i | \(0.919789\pi\) | |||||||
\(104\) | −3.27814 | − | 5.67791i | −0.321448 | − | 0.556765i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.274990 | + | 0.476296i | −0.0267094 | + | 0.0462620i | ||||
\(107\) | 3.83015 | + | 6.63401i | 0.370274 | + | 0.641334i | 0.989608 | − | 0.143794i | \(-0.0459303\pi\) |
−0.619333 | + | 0.785128i | \(0.712597\pi\) | |||||||
\(108\) | 4.93244 | − | 6.37129i | 0.474624 | − | 0.613078i | ||||
\(109\) | −0.849394 | + | 1.47119i | −0.0813572 | + | 0.140915i | −0.903833 | − | 0.427885i | \(-0.859259\pi\) |
0.822476 | + | 0.568800i | \(0.192592\pi\) | |||||||
\(110\) | 4.70979 | 0.449061 | ||||||||
\(111\) | −1.81042 | − | 1.66371i | −0.171838 | − | 0.157913i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.300351 | − | 0.520224i | −0.0282547 | − | 0.0489385i | 0.851552 | − | 0.524270i | \(-0.175662\pi\) |
−0.879807 | + | 0.475331i | \(0.842328\pi\) | |||||||
\(114\) | −3.43244 | − | 3.15429i | −0.321477 | − | 0.295426i | ||||
\(115\) | 3.87341 | + | 6.70895i | 0.361198 | + | 0.625613i | ||||
\(116\) | −5.28083 | + | 9.14666i | −0.490312 | + | 0.849246i | ||||
\(117\) | 7.47954 | + | 3.51385i | 0.691484 | + | 0.324855i | ||||
\(118\) | 4.41352 | 0.406297 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.27963 | − | 5.73322i | 0.116814 | − | 0.523369i | ||||
\(121\) | −6.65626 | + | 11.5290i | −0.605115 | + | 1.04809i | ||||
\(122\) | −0.0504522 | −0.00456773 | ||||||||
\(123\) | 0.317261 | + | 0.291552i | 0.0286065 | + | 0.0262884i | ||||
\(124\) | 3.88569 | 0.348945 | ||||||||
\(125\) | 11.3561 | 1.01572 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.25977 | 0.644200 | 0.322100 | − | 0.946706i | \(-0.395611\pi\) | ||||
0.322100 | + | 0.946706i | \(0.395611\pi\) | |||||||
\(128\) | −10.9656 | −0.969227 | ||||||||
\(129\) | 0.376030 | − | 1.68475i | 0.0331076 | − | 0.148334i | ||||
\(130\) | 2.63115 | 0.230767 | ||||||||
\(131\) | −10.2265 | + | 17.7128i | −0.893492 | + | 1.54757i | −0.0578326 | + | 0.998326i | \(0.518419\pi\) |
−0.835660 | + | 0.549248i | \(0.814914\pi\) | |||||||
\(132\) | 9.75105 | + | 8.96088i | 0.848720 | + | 0.779945i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.43794 | −0.728927 | ||||||||
\(135\) | 2.80409 | + | 6.85267i | 0.241337 | + | 0.589784i | ||||
\(136\) | 1.33248 | − | 2.30793i | 0.114260 | − | 0.197903i | ||||
\(137\) | −6.10581 | − | 10.5756i | −0.521655 | − | 0.903532i | −0.999683 | − | 0.0251879i | \(-0.991982\pi\) |
0.478028 | − | 0.878345i | \(-0.341352\pi\) | |||||||
\(138\) | 1.37502 | − | 6.16059i | 0.117049 | − | 0.524425i | ||||
\(139\) | 1.24092 | + | 2.14933i | 0.105253 | + | 0.182304i | 0.913842 | − | 0.406071i | \(-0.133101\pi\) |
−0.808588 | + | 0.588375i | \(0.799768\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −15.6600 | + | 4.91296i | −1.31881 | + | 0.413746i | ||||
\(142\) | 0.0539585 | 0.00452810 | ||||||||
\(143\) | −6.79117 | + | 11.7626i | −0.567906 | + | 0.983642i | ||||
\(144\) | 3.70792 | − | 2.58054i | 0.308994 | − | 0.215045i | ||||
\(145\) | −4.85269 | − | 8.40511i | −0.402994 | − | 0.698006i | ||||
\(146\) | −3.58327 | + | 6.20640i | −0.296553 | + | 0.513645i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.10063 | − | 1.90635i | −0.0904715 | − | 0.156701i | ||||
\(149\) | 4.27797 | − | 7.40966i | 0.350465 | − | 0.607023i | −0.635866 | − | 0.771799i | \(-0.719357\pi\) |
0.986331 | + | 0.164777i | \(0.0526903\pi\) | |||||||
\(150\) | −2.53865 | − | 2.33293i | −0.207280 | − | 0.190483i | ||||
\(151\) | 8.82962 | + | 15.2933i | 0.718544 | + | 1.24455i | 0.961577 | + | 0.274537i | \(0.0885244\pi\) |
−0.243033 | + | 0.970018i | \(0.578142\pi\) | |||||||
\(152\) | −4.77814 | − | 8.27599i | −0.387559 | − | 0.671271i | ||||
\(153\) | 0.283187 | + | 3.34708i | 0.0228943 | + | 0.270595i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.78533 | + | 3.09228i | −0.143401 | + | 0.248378i | ||||
\(156\) | 5.44748 | + | 5.00605i | 0.436148 | + | 0.400805i | ||||
\(157\) | −6.32149 | −0.504510 | −0.252255 | − | 0.967661i | \(-0.581172\pi\) | ||||
−0.252255 | + | 0.967661i | \(0.581172\pi\) | |||||||
\(158\) | −1.23671 | −0.0983871 | ||||||||
\(159\) | 0.309561 | − | 1.38695i | 0.0245498 | − | 0.109992i | ||||
\(160\) | 4.11070 | − | 7.11993i | 0.324979 | − | 0.562880i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.09580 | − | 5.65726i | 0.164662 | − | 0.444477i | ||||
\(163\) | −4.01134 | − | 6.94784i | −0.314192 | − | 0.544197i | 0.665073 | − | 0.746778i | \(-0.268400\pi\) |
−0.979265 | + | 0.202581i | \(0.935067\pi\) | |||||||
\(164\) | 0.192877 | + | 0.334073i | 0.0150612 | + | 0.0260867i | ||||
\(165\) | −11.6114 | + | 3.64283i | −0.903950 | + | 0.283594i | ||||
\(166\) | 4.85041 | − | 8.40116i | 0.376465 | − | 0.652057i | ||||
\(167\) | −1.06038 | − | 1.83663i | −0.0820545 | − | 0.142123i | 0.822078 | − | 0.569375i | \(-0.192815\pi\) |
−0.904132 | + | 0.427253i | \(0.859482\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.70608 | − | 4.68706i | 0.208160 | − | 0.360543i | ||||
\(170\) | 0.534749 | + | 0.926212i | 0.0410133 | + | 0.0710372i | ||||
\(171\) | 10.9020 | + | 5.12170i | 0.833697 | + | 0.391666i | ||||
\(172\) | 0.772712 | − | 1.33838i | 0.0589187 | − | 0.102050i | ||||
\(173\) | 18.2881 | 1.39042 | 0.695208 | − | 0.718808i | \(-0.255312\pi\) | ||||
0.695208 | + | 0.718808i | \(0.255312\pi\) | |||||||
\(174\) | −1.72265 | + | 7.71812i | −0.130594 | + | 0.585109i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.71247 | + | 6.43018i | 0.279838 | + | 0.484693i | ||||
\(177\) | −10.8810 | + | 3.41367i | −0.817868 | + | 0.256587i | ||||
\(178\) | −4.53341 | − | 7.85209i | −0.339793 | − | 0.588539i | ||||
\(179\) | 3.81276 | − | 6.60389i | 0.284979 | − | 0.493598i | −0.687625 | − | 0.726066i | \(-0.741347\pi\) |
0.972604 | + | 0.232468i | \(0.0746801\pi\) | |||||||
\(180\) | 0.558844 | + | 6.60516i | 0.0416538 | + | 0.492319i | ||||
\(181\) | −15.5305 | −1.15438 | −0.577188 | − | 0.816611i | \(-0.695850\pi\) | ||||
−0.577188 | + | 0.816611i | \(0.695850\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.124384 | − | 0.0390227i | 0.00919475 | − | 0.00288464i | ||||
\(184\) | 6.46989 | − | 11.2062i | 0.476967 | − | 0.826130i | ||||
\(185\) | 2.02280 | 0.148719 | ||||||||
\(186\) | 2.77599 | − | 0.870905i | 0.203546 | − | 0.0638578i | ||||
\(187\) | −5.52088 | −0.403727 | ||||||||
\(188\) | −14.6937 | −1.07165 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.83510 | 0.278227 | ||||||||
\(191\) | 14.8325 | 1.07324 | 0.536620 | − | 0.843824i | \(-0.319701\pi\) | ||||
0.536620 | + | 0.843824i | \(0.319701\pi\) | |||||||
\(192\) | −1.41451 | + | 0.443769i | −0.102083 | + | 0.0320263i | ||||
\(193\) | 16.5677 | 1.19257 | 0.596286 | − | 0.802772i | \(-0.296642\pi\) | ||||
0.596286 | + | 0.802772i | \(0.296642\pi\) | |||||||
\(194\) | −1.81097 | + | 3.13669i | −0.130020 | + | 0.225201i | ||||
\(195\) | −6.48680 | + | 2.03509i | −0.464529 | + | 0.145736i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.03740 | −0.287653 | −0.143826 | − | 0.989603i | \(-0.545941\pi\) | ||||
−0.143826 | + | 0.989603i | \(0.545941\pi\) | |||||||
\(198\) | 8.97472 | + | 4.21628i | 0.637806 | + | 0.299638i | ||||
\(199\) | 12.6407 | − | 21.8943i | 0.896076 | − | 1.55205i | 0.0636081 | − | 0.997975i | \(-0.479739\pi\) |
0.832468 | − | 0.554074i | \(-0.186927\pi\) | |||||||
\(200\) | −3.53395 | − | 6.12097i | −0.249888 | − | 0.432818i | ||||
\(201\) | 20.8028 | − | 6.52640i | 1.46732 | − | 0.460337i | ||||
\(202\) | −1.72121 | − | 2.98123i | −0.121104 | − | 0.209758i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.655085 | + | 2.93503i | −0.0458651 | + | 0.205493i | ||||
\(205\) | −0.354480 | −0.0247579 | ||||||||
\(206\) | −4.76312 | + | 8.24997i | −0.331862 | + | 0.574803i | ||||
\(207\) | 1.37502 | + | 16.2518i | 0.0955703 | + | 1.12958i | ||||
\(208\) | 2.07399 | + | 3.59226i | 0.143805 | + | 0.249078i | ||||
\(209\) | −9.89864 | + | 17.1449i | −0.684703 | + | 1.18594i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.76246 | − | 6.51678i | −0.259019 | − | 0.448634i | 0.706961 | − | 0.707253i | \(-0.250066\pi\) |
−0.965979 | + | 0.258619i | \(0.916732\pi\) | |||||||
\(212\) | 0.636123 | − | 1.10180i | 0.0436891 | − | 0.0756718i | ||||
\(213\) | −0.133029 | + | 0.0417347i | −0.00911497 | + | 0.00285961i | ||||
\(214\) | 2.56747 | + | 4.44699i | 0.175509 | + | 0.303990i | ||||
\(215\) | 0.710065 | + | 1.22987i | 0.0484261 | + | 0.0838764i | ||||
\(216\) | 7.57086 | − | 9.77938i | 0.515132 | − | 0.665402i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.569377 | + | 0.986190i | −0.0385631 | + | 0.0667932i | ||||
\(219\) | 4.03374 | − | 18.0727i | 0.272575 | − | 1.22124i | ||||
\(220\) | −10.8950 | −0.734538 | ||||||||
\(221\) | −3.08427 | −0.207471 | ||||||||
\(222\) | −1.21358 | − | 1.11524i | −0.0814504 | − | 0.0748501i | ||||
\(223\) | −6.49230 | + | 11.2450i | −0.434757 | + | 0.753020i | −0.997276 | − | 0.0737638i | \(-0.976499\pi\) |
0.562519 | + | 0.826784i | \(0.309832\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.06319 | + | 3.78804i | 0.537546 | + | 0.252536i | ||||
\(226\) | −0.201335 | − | 0.348723i | −0.0133926 | − | 0.0231967i | ||||
\(227\) | −14.4832 | − | 25.0857i | −0.961286 | − | 1.66500i | −0.719277 | − | 0.694723i | \(-0.755527\pi\) |
−0.242009 | − | 0.970274i | \(-0.577806\pi\) | |||||||
\(228\) | 7.94012 | + | 7.29670i | 0.525847 | + | 0.483235i | ||||
\(229\) | 7.71790 | − | 13.3678i | 0.510013 | − | 0.883369i | −0.489919 | − | 0.871768i | \(-0.662974\pi\) |
0.999933 | − | 0.0116012i | \(-0.00369285\pi\) | |||||||
\(230\) | 2.59648 | + | 4.49723i | 0.171207 | + | 0.296538i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.10561 | + | 14.0393i | −0.532159 | + | 0.921727i | ||||
\(233\) | −2.47324 | − | 4.28378i | −0.162027 | − | 0.280640i | 0.773568 | − | 0.633713i | \(-0.218470\pi\) |
−0.935596 | + | 0.353073i | \(0.885137\pi\) | |||||||
\(234\) | 5.01378 | + | 2.35545i | 0.327761 | + | 0.153980i | ||||
\(235\) | 6.75121 | − | 11.6934i | 0.440400 | − | 0.762795i | ||||
\(236\) | −10.2096 | −0.664589 | ||||||||
\(237\) | 3.04896 | − | 0.956542i | 0.198051 | − | 0.0621341i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.51732 | + | 11.2883i | 0.421571 | + | 0.730182i | 0.996093 | − | 0.0883069i | \(-0.0281456\pi\) |
−0.574523 | + | 0.818489i | \(0.694812\pi\) | |||||||
\(240\) | −0.809586 | + | 3.62725i | −0.0522586 | + | 0.234138i | ||||
\(241\) | 7.29123 | + | 12.6288i | 0.469670 | + | 0.813492i | 0.999399 | − | 0.0346754i | \(-0.0110397\pi\) |
−0.529729 | + | 0.848167i | \(0.677706\pi\) | |||||||
\(242\) | −4.46191 | + | 7.72826i | −0.286823 | + | 0.496791i | ||||
\(243\) | −0.791301 | + | 15.5684i | −0.0507620 | + | 0.998711i | ||||
\(244\) | 0.116709 | 0.00747154 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.212671 | + | 0.195437i | 0.0135594 | + | 0.0124606i | ||||
\(247\) | −5.52993 | + | 9.57812i | −0.351861 | + | 0.609441i | ||||
\(248\) | 5.96419 | 0.378726 | ||||||||
\(249\) | −5.46019 | + | 24.4637i | −0.346026 | + | 1.55032i | ||||
\(250\) | 7.61238 | 0.481449 | ||||||||
\(251\) | 14.0715 | 0.888187 | 0.444094 | − | 0.895980i | \(-0.353526\pi\) | ||||
0.444094 | + | 0.895980i | \(0.353526\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −26.8067 | −1.68532 | ||||||||
\(254\) | 4.86646 | 0.305349 | ||||||||
\(255\) | −2.03475 | − | 1.86986i | −0.127421 | − | 0.117095i | ||||
\(256\) | −9.06240 | −0.566400 | ||||||||
\(257\) | −4.18108 | + | 7.24184i | −0.260808 | + | 0.451733i | −0.966457 | − | 0.256829i | \(-0.917322\pi\) |
0.705649 | + | 0.708562i | \(0.250656\pi\) | |||||||
\(258\) | 0.252065 | − | 1.12935i | 0.0156929 | − | 0.0703100i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.08653 | −0.377471 | ||||||||
\(261\) | −1.72265 | − | 20.3605i | −0.106629 | − | 1.26029i | ||||
\(262\) | −6.85515 | + | 11.8735i | −0.423512 | + | 0.733545i | ||||
\(263\) | −1.63533 | − | 2.83247i | −0.100839 | − | 0.174658i | 0.811192 | − | 0.584780i | \(-0.198819\pi\) |
−0.912030 | + | 0.410122i | \(0.865486\pi\) | |||||||
\(264\) | 14.9670 | + | 13.7542i | 0.921157 | + | 0.846511i | ||||
\(265\) | 0.584551 | + | 1.01247i | 0.0359087 | + | 0.0621956i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.2499 | + | 15.8520i | 1.05568 | + | 0.970129i | ||||
\(268\) | 19.5192 | 1.19232 | ||||||||
\(269\) | 7.69349 | − | 13.3255i | 0.469081 | − | 0.812471i | −0.530295 | − | 0.847813i | \(-0.677919\pi\) |
0.999375 | + | 0.0353420i | \(0.0112521\pi\) | |||||||
\(270\) | 1.87967 | + | 4.59357i | 0.114393 | + | 0.279556i | ||||
\(271\) | −4.06308 | − | 7.03747i | −0.246815 | − | 0.427496i | 0.715825 | − | 0.698279i | \(-0.246051\pi\) |
−0.962640 | + | 0.270783i | \(0.912717\pi\) | |||||||
\(272\) | −0.843026 | + | 1.46016i | −0.0511160 | + | 0.0885355i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.09293 | − | 7.08915i | −0.247263 | − | 0.428271i | ||||
\(275\) | −7.32110 | + | 12.6805i | −0.441479 | + | 0.764664i | ||||
\(276\) | −3.18077 | + | 14.2511i | −0.191460 | + | 0.857813i | ||||
\(277\) | −6.42287 | − | 11.1247i | −0.385913 | − | 0.668421i | 0.605982 | − | 0.795478i | \(-0.292780\pi\) |
−0.991895 | + | 0.127057i | \(0.959447\pi\) | |||||||
\(278\) | 0.831826 | + | 1.44077i | 0.0498896 | + | 0.0864114i | ||||
\(279\) | −6.17029 | + | 4.29423i | −0.369406 | + | 0.257089i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.724081 | + | 1.25415i | −0.0431951 | + | 0.0748161i | −0.886815 | − | 0.462125i | \(-0.847087\pi\) |
0.843620 | + | 0.536941i | \(0.180420\pi\) | |||||||
\(282\) | −10.4974 | + | 3.29332i | −0.625111 | + | 0.196114i | ||||
\(283\) | 17.4385 | 1.03661 | 0.518306 | − | 0.855195i | \(-0.326563\pi\) | ||||
0.518306 | + | 0.855195i | \(0.326563\pi\) | |||||||
\(284\) | −0.124820 | −0.00740671 | ||||||||
\(285\) | −9.45500 | + | 2.96629i | −0.560066 | + | 0.175708i | ||||
\(286\) | −4.55234 | + | 7.88489i | −0.269186 | + | 0.466243i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 14.2070 | − | 9.88741i | 0.837156 | − | 0.582621i | ||||
\(289\) | 7.87316 | + | 13.6367i | 0.463127 | + | 0.802160i | ||||
\(290\) | −3.25292 | − | 5.63422i | −0.191018 | − | 0.330853i | ||||
\(291\) | 2.03864 | − | 9.13386i | 0.119507 | − | 0.535437i | ||||
\(292\) | 8.28903 | − | 14.3570i | 0.485079 | − | 0.840181i | ||||
\(293\) | 0.900048 | + | 1.55893i | 0.0525814 | + | 0.0910736i | 0.891118 | − | 0.453772i | \(-0.149922\pi\) |
−0.838537 | + | 0.544845i | \(0.816588\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.69094 | − | 8.12495i | 0.273117 | − | 0.473053i | ||||
\(296\) | −1.68938 | − | 2.92609i | −0.0981931 | − | 0.170075i | ||||
\(297\) | −25.3873 | − | 3.45317i | −1.47312 | − | 0.200373i | ||||
\(298\) | 2.86766 | − | 4.96693i | 0.166119 | − | 0.287727i | ||||
\(299\) | −14.9757 | −0.866068 | ||||||||
\(300\) | 5.87256 | + | 5.39668i | 0.339053 | + | 0.311578i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 5.91878 | + | 10.2516i | 0.340588 | + | 0.589915i | ||||
\(303\) | 6.54931 | + | 6.01859i | 0.376248 | + | 0.345759i | ||||
\(304\) | 3.02300 | + | 5.23599i | 0.173381 | + | 0.300305i | ||||
\(305\) | −0.0536236 | + | 0.0928787i | −0.00307048 | + | 0.00531822i | ||||
\(306\) | 0.189830 | + | 2.24366i | 0.0108518 | + | 0.128261i | ||||
\(307\) | −1.06478 | −0.0607699 | −0.0303850 | − | 0.999538i | \(-0.509673\pi\) | ||||
−0.0303850 | + | 0.999538i | \(0.509673\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.36193 | − | 24.0234i | 0.305029 | − | 1.36665i | ||||
\(310\) | −1.19676 | + | 2.07286i | −0.0679717 | + | 0.117730i | ||||
\(311\) | 16.9293 | 0.959970 | 0.479985 | − | 0.877277i | \(-0.340642\pi\) | ||||
0.479985 | + | 0.877277i | \(0.340642\pi\) | |||||||
\(312\) | 8.36141 | + | 7.68385i | 0.473372 | + | 0.435012i | ||||
\(313\) | 8.27856 | 0.467932 | 0.233966 | − | 0.972245i | \(-0.424830\pi\) | ||||
0.233966 | + | 0.972245i | \(0.424830\pi\) | |||||||
\(314\) | −4.23750 | −0.239136 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.86082 | 0.160934 | ||||||||
\(317\) | 6.54741 | 0.367739 | 0.183870 | − | 0.982951i | \(-0.441138\pi\) | ||||
0.183870 | + | 0.982951i | \(0.441138\pi\) | |||||||
\(318\) | 0.207509 | − | 0.929717i | 0.0116365 | − | 0.0521359i | ||||
\(319\) | 33.5840 | 1.88034 | ||||||||
\(320\) | 0.609811 | − | 1.05622i | 0.0340895 | − | 0.0590447i | ||||
\(321\) | −9.76938 | − | 8.97773i | −0.545274 | − | 0.501088i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.49556 | −0.250140 | ||||||||
\(324\) | −4.84814 | + | 13.0867i | −0.269341 | + | 0.727040i | ||||
\(325\) | −4.08997 | + | 7.08404i | −0.226871 | + | 0.392952i | ||||
\(326\) | −2.68893 | − | 4.65736i | −0.148926 | − | 0.257947i | ||||
\(327\) | 0.640957 | − | 2.87173i | 0.0354450 | − | 0.158807i | ||||
\(328\) | 0.296049 | + | 0.512773i | 0.0163466 | + | 0.0283131i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −7.78353 | + | 2.44191i | −0.428469 | + | 0.134422i | ||||
\(331\) | −26.7258 | −1.46899 | −0.734493 | − | 0.678617i | \(-0.762580\pi\) | ||||
−0.734493 | + | 0.678617i | \(0.762580\pi\) | |||||||
\(332\) | −11.2203 | + | 19.4341i | −0.615792 | + | 1.06658i | ||||
\(333\) | 3.85455 | + | 1.81085i | 0.211228 | + | 0.0992337i | ||||
\(334\) | −0.710806 | − | 1.23115i | −0.0388936 | − | 0.0673657i | ||||
\(335\) | −8.96834 | + | 15.5336i | −0.489993 | + | 0.848692i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.76164 | − | 8.24740i | −0.259383 | − | 0.449264i | 0.706694 | − | 0.707520i | \(-0.250186\pi\) |
−0.966077 | + | 0.258255i | \(0.916853\pi\) | |||||||
\(338\) | 1.81397 | − | 3.14189i | 0.0986670 | − | 0.170896i | ||||
\(339\) | 0.766092 | + | 0.704012i | 0.0416084 | + | 0.0382367i | ||||
\(340\) | −1.23701 | − | 2.14257i | −0.0670864 | − | 0.116197i | ||||
\(341\) | −6.17786 | − | 10.7004i | −0.334550 | − | 0.579457i | ||||
\(342\) | 7.30796 | + | 3.43324i | 0.395169 | + | 0.185648i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.18605 | − | 2.05429i | 0.0639473 | − | 0.110760i | ||||
\(345\) | −9.87974 | − | 9.07914i | −0.531907 | − | 0.488805i | ||||
\(346\) | 12.2591 | 0.659053 | ||||||||
\(347\) | −18.7031 | −1.00404 | −0.502018 | − | 0.864857i | \(-0.667409\pi\) | ||||
−0.502018 | + | 0.864857i | \(0.667409\pi\) | |||||||
\(348\) | 3.98494 | − | 17.8540i | 0.213615 | − | 0.957076i | ||||
\(349\) | 15.0542 | − | 26.0747i | 0.805834 | − | 1.39574i | −0.109893 | − | 0.993943i | \(-0.535051\pi\) |
0.915727 | − | 0.401801i | \(-0.131616\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.1827 | − | 1.92913i | −0.757019 | − | 0.102970i | ||||
\(352\) | 14.2244 | + | 24.6374i | 0.758164 | + | 1.31318i | ||||
\(353\) | 3.12966 | + | 5.42074i | 0.166575 | + | 0.288517i | 0.937214 | − | 0.348756i | \(-0.113396\pi\) |
−0.770638 | + | 0.637273i | \(0.780062\pi\) | |||||||
\(354\) | −7.29391 | + | 2.28830i | −0.387667 | + | 0.121622i | ||||
\(355\) | 0.0573502 | − | 0.0993335i | 0.00304383 | − | 0.00527208i | ||||
\(356\) | 10.4870 | + | 18.1639i | 0.555807 | + | 0.962686i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.55582 | − | 4.42680i | 0.135079 | − | 0.233964i | ||||
\(359\) | −5.09755 | − | 8.82921i | −0.269038 | − | 0.465988i | 0.699575 | − | 0.714559i | \(-0.253372\pi\) |
−0.968614 | + | 0.248571i | \(0.920039\pi\) | |||||||
\(360\) | 0.857777 | + | 10.1383i | 0.0452088 | + | 0.534338i | ||||
\(361\) | 1.43970 | − | 2.49364i | 0.0757739 | − | 0.131244i | ||||
\(362\) | −10.4106 | −0.547171 | ||||||||
\(363\) | 5.02285 | − | 22.5042i | 0.263631 | − | 1.18117i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.61701 | + | 13.1931i | 0.398693 | + | 0.690556i | ||||
\(366\) | 0.0833788 | − | 0.0261582i | 0.00435828 | − | 0.00136731i | ||||
\(367\) | −14.3278 | − | 24.8165i | −0.747906 | − | 1.29541i | −0.948824 | − | 0.315804i | \(-0.897726\pi\) |
0.200918 | − | 0.979608i | \(-0.435608\pi\) | |||||||
\(368\) | −4.09332 | + | 7.08984i | −0.213379 | + | 0.369584i | ||||
\(369\) | −0.675478 | − | 0.317336i | −0.0351640 | − | 0.0165198i | ||||
\(370\) | 1.35595 | 0.0704926 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −6.42160 | + | 2.01463i | −0.332944 | + | 0.104454i | ||||
\(373\) | 8.03670 | − | 13.9200i | 0.416124 | − | 0.720749i | −0.579421 | − | 0.815028i | \(-0.696721\pi\) |
0.995546 | + | 0.0942796i | \(0.0300548\pi\) | |||||||
\(374\) | −3.70083 | −0.191365 | ||||||||
\(375\) | −18.7674 | + | 5.88786i | −0.969147 | + | 0.304048i | ||||
\(376\) | −22.5535 | −1.16311 | ||||||||
\(377\) | 18.7619 | 0.966286 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.01893 | −0.0523388 | −0.0261694 | − | 0.999658i | \(-0.508331\pi\) | ||||
−0.0261694 | + | 0.999658i | \(0.508331\pi\) | |||||||
\(380\) | −8.87158 | −0.455103 | ||||||||
\(381\) | −11.9977 | + | 3.76401i | −0.614661 | + | 0.192836i | ||||
\(382\) | 9.94270 | 0.508713 | ||||||||
\(383\) | −5.79327 | + | 10.0342i | −0.296022 | + | 0.512725i | −0.975222 | − | 0.221228i | \(-0.928994\pi\) |
0.679200 | + | 0.733953i | \(0.262327\pi\) | |||||||
\(384\) | 18.1220 | − | 5.68536i | 0.924784 | − | 0.290130i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.1059 | 0.565275 | ||||||||
\(387\) | 0.252065 | + | 2.97924i | 0.0128132 | + | 0.151443i | ||||
\(388\) | 4.18924 | − | 7.25598i | 0.212677 | − | 0.368367i | ||||
\(389\) | −8.90675 | − | 15.4270i | −0.451590 | − | 0.782178i | 0.546895 | − | 0.837201i | \(-0.315810\pi\) |
−0.998485 | + | 0.0550239i | \(0.982476\pi\) | |||||||
\(390\) | −4.34831 | + | 1.36418i | −0.220185 | + | 0.0690782i | ||||
\(391\) | −3.04363 | − | 5.27172i | −0.153923 | − | 0.266602i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.71695 | − | 34.5749i | 0.389269 | − | 1.74407i | ||||
\(394\) | −2.70640 | −0.136346 | ||||||||
\(395\) | −1.31444 | + | 2.27668i | −0.0661369 | + | 0.114552i | ||||
\(396\) | −20.7609 | − | 9.75334i | −1.04327 | − | 0.490124i | ||||
\(397\) | 6.54229 | + | 11.3316i | 0.328348 | + | 0.568715i | 0.982184 | − | 0.187921i | \(-0.0601748\pi\) |
−0.653836 | + | 0.756636i | \(0.726841\pi\) | |||||||
\(398\) | 8.47348 | − | 14.6765i | 0.424737 | − | 0.735666i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.23583 | + | 3.87257i | 0.111792 | + | 0.193629i | ||||
\(401\) | −7.05165 | + | 12.2138i | −0.352143 | + | 0.609929i | −0.986625 | − | 0.163009i | \(-0.947880\pi\) |
0.634482 | + | 0.772938i | \(0.281213\pi\) | |||||||
\(402\) | 13.9448 | − | 4.37486i | 0.695503 | − | 0.218198i | ||||
\(403\) | −3.45129 | − | 5.97782i | −0.171921 | − | 0.297776i | ||||
\(404\) | 3.98161 | + | 6.89636i | 0.198093 | + | 0.343107i | ||||
\(405\) | −8.18706 | − | 9.87108i | −0.406818 | − | 0.490498i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.49980 | + | 6.06183i | −0.173479 | + | 0.300474i | ||||
\(408\) | −1.00550 | + | 4.50501i | −0.0497796 | + | 0.223031i | ||||
\(409\) | 2.64599 | 0.130836 | 0.0654179 | − | 0.997858i | \(-0.479162\pi\) | ||||
0.0654179 | + | 0.997858i | \(0.479162\pi\) | |||||||
\(410\) | −0.237619 | −0.0117352 | ||||||||
\(411\) | 15.5738 | + | 14.3118i | 0.768200 | + | 0.705949i | ||||
\(412\) | 11.0183 | − | 19.0843i | 0.542835 | − | 0.940217i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.921719 | + | 10.8941i | 0.0453000 | + | 0.535415i | ||||
\(415\) | −10.3106 | − | 17.8585i | −0.506128 | − | 0.876639i | ||||
\(416\) | 7.94655 | + | 13.7638i | 0.389612 | + | 0.674827i | ||||
\(417\) | −3.16515 | − | 2.90866i | −0.154998 | − | 0.142438i | ||||
\(418\) | −6.63538 | + | 11.4928i | −0.324547 | + | 0.562132i | ||||
\(419\) | −16.7567 | − | 29.0235i | −0.818619 | − | 1.41789i | −0.906700 | − | 0.421776i | \(-0.861407\pi\) |
0.0880816 | − | 0.996113i | \(-0.471926\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.41950 | + | 4.19071i | −0.117919 | + | 0.204242i | −0.918943 | − | 0.394390i | \(-0.870956\pi\) |
0.801024 | + | 0.598633i | \(0.204289\pi\) | |||||||
\(422\) | −2.52210 | − | 4.36841i | −0.122774 | − | 0.212651i | ||||
\(423\) | 23.3329 | − | 16.2386i | 1.13448 | − | 0.789548i | ||||
\(424\) | 0.976394 | − | 1.69116i | 0.0474179 | − | 0.0821302i | ||||
\(425\) | −3.32495 | −0.161284 | ||||||||
\(426\) | −0.0891734 | + | 0.0279761i | −0.00432047 | + | 0.00135545i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −5.93923 | − | 10.2871i | −0.287084 | − | 0.497244i | ||||
\(429\) | 5.12465 | − | 22.9603i | 0.247420 | − | 1.10854i | ||||
\(430\) | 0.475980 | + | 0.824422i | 0.0229538 | + | 0.0397571i | ||||
\(431\) | 17.6643 | − | 30.5954i | 0.850858 | − | 1.47373i | −0.0295774 | − | 0.999562i | \(-0.509416\pi\) |
0.880435 | − | 0.474166i | \(-0.157251\pi\) | |||||||
\(432\) | −4.78988 | + | 6.18714i | −0.230453 | + | 0.297679i | ||||
\(433\) | −5.47404 | −0.263066 | −0.131533 | − | 0.991312i | \(-0.541990\pi\) | ||||
−0.131533 | + | 0.991312i | \(0.541990\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 12.3775 | + | 11.3745i | 0.593458 | + | 0.545367i | ||||
\(436\) | 1.31712 | − | 2.28131i | 0.0630785 | − | 0.109255i | ||||
\(437\) | −21.8282 | −1.04419 | ||||||||
\(438\) | 2.70395 | − | 12.1147i | 0.129200 | − | 0.578864i | ||||
\(439\) | −6.39812 | −0.305365 | −0.152683 | − | 0.988275i | \(-0.548791\pi\) | ||||
−0.152683 | + | 0.988275i | \(0.548791\pi\) | |||||||
\(440\) | −16.7228 | −0.797229 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.06749 | −0.0983404 | ||||||||
\(443\) | −6.38682 | −0.303447 | −0.151723 | − | 0.988423i | \(-0.548482\pi\) | ||||
−0.151723 | + | 0.988423i | \(0.548482\pi\) | |||||||
\(444\) | 2.80734 | + | 2.57985i | 0.133230 | + | 0.122434i | ||||
\(445\) | −19.2735 | −0.913650 | ||||||||
\(446\) | −4.35200 | + | 7.53789i | −0.206073 | + | 0.356929i | ||||
\(447\) | −3.22817 | + | 14.4634i | −0.152687 | + | 0.684097i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.7460 | −0.554327 | −0.277163 | − | 0.960823i | \(-0.589394\pi\) | ||||
−0.277163 | + | 0.960823i | \(0.589394\pi\) | |||||||
\(450\) | 5.40502 | + | 2.53925i | 0.254795 | + | 0.119701i | ||||
\(451\) | 0.613311 | − | 1.06229i | 0.0288797 | − | 0.0500210i | ||||
\(452\) | 0.465741 | + | 0.806687i | 0.0219066 | + | 0.0379434i | ||||
\(453\) | −22.5213 | − | 20.6963i | −1.05814 | − | 0.972397i | ||||
\(454\) | −9.70859 | − | 16.8158i | −0.455647 | − | 0.789203i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.1874 | + | 11.1998i | 0.570727 | + | 0.524478i | ||||
\(457\) | 10.5224 | 0.492217 | 0.246108 | − | 0.969242i | \(-0.420848\pi\) | ||||
0.246108 | + | 0.969242i | \(0.420848\pi\) | |||||||
\(458\) | 5.17356 | − | 8.96087i | 0.241745 | − | 0.418714i | ||||
\(459\) | −2.20338 | − | 5.38465i | −0.102845 | − | 0.251334i | ||||
\(460\) | −6.00633 | − | 10.4033i | −0.280046 | − | 0.485055i | ||||
\(461\) | 3.54278 | − | 6.13627i | 0.165004 | − | 0.285794i | −0.771653 | − | 0.636044i | \(-0.780570\pi\) |
0.936657 | + | 0.350249i | \(0.113903\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.3760 | + | 28.3641i | 0.761059 | + | 1.31819i | 0.942305 | + | 0.334755i | \(0.108654\pi\) |
−0.181246 | + | 0.983438i | \(0.558013\pi\) | |||||||
\(464\) | 5.12820 | − | 8.88230i | 0.238071 | − | 0.412350i | ||||
\(465\) | 1.34722 | − | 6.03604i | 0.0624758 | − | 0.279915i | ||||
\(466\) | −1.65789 | − | 2.87156i | −0.0768004 | − | 0.133022i | ||||
\(467\) | −1.96216 | − | 3.39856i | −0.0907978 | − | 0.157266i | 0.817049 | − | 0.576568i | \(-0.195608\pi\) |
−0.907847 | + | 0.419301i | \(0.862275\pi\) | |||||||
\(468\) | −11.5982 | − | 5.44876i | −0.536126 | − | 0.251869i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 4.52555 | − | 7.83849i | 0.208748 | − | 0.361563i | ||||
\(471\) | 10.4471 | − | 3.27753i | 0.481376 | − | 0.151021i | ||||
\(472\) | −15.6709 | −0.721310 | ||||||||
\(473\) | −4.91414 | −0.225952 | ||||||||
\(474\) | 2.04382 | − | 0.641201i | 0.0938757 | − | 0.0294513i | ||||
\(475\) | −5.96145 | + | 10.3255i | −0.273530 | + | 0.473768i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.207509 | + | 2.45261i | 0.00950117 | + | 0.112297i | ||||
\(478\) | 4.36878 | + | 7.56694i | 0.199823 | + | 0.346104i | ||||
\(479\) | 8.04324 | + | 13.9313i | 0.367505 | + | 0.636537i | 0.989175 | − | 0.146742i | \(-0.0468787\pi\) |
−0.621670 | + | 0.783279i | \(0.713545\pi\) | |||||||
\(480\) | −3.10195 | + | 13.8979i | −0.141584 | + | 0.634350i | ||||
\(481\) | −1.95518 | + | 3.38647i | −0.0891486 | + | 0.154410i | ||||
\(482\) | 4.88755 | + | 8.46549i | 0.222622 | + | 0.385592i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.3216 | − | 17.8775i | 0.469162 | − | 0.812612i | ||||
\(485\) | 3.84961 | + | 6.66771i | 0.174802 | + | 0.302765i | ||||
\(486\) | −0.530435 | + | 10.4360i | −0.0240610 | + | 0.473386i | ||||
\(487\) | −1.75172 | + | 3.03407i | −0.0793781 | + | 0.137487i | −0.902982 | − | 0.429679i | \(-0.858627\pi\) |
0.823604 | + | 0.567166i | \(0.191960\pi\) | |||||||
\(488\) | 0.179138 | 0.00810921 | ||||||||
\(489\) | 10.2315 | + | 9.40242i | 0.462686 | + | 0.425192i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −20.5546 | − | 35.6017i | −0.927618 | − | 1.60668i | −0.787296 | − | 0.616575i | \(-0.788520\pi\) |
−0.140321 | − | 0.990106i | \(-0.544814\pi\) | |||||||
\(492\) | −0.491962 | − | 0.452096i | −0.0221794 | − | 0.0203821i | ||||
\(493\) | 3.81312 | + | 6.60452i | 0.171734 | + | 0.297452i | ||||
\(494\) | −3.70689 | + | 6.42053i | −0.166781 | + | 0.288873i | ||||
\(495\) | 17.3007 | − | 12.0405i | 0.777609 | − | 0.541180i | ||||
\(496\) | −3.77338 | −0.169430 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.66015 | + | 16.3988i | −0.164015 | + | 0.734849i | ||||
\(499\) | −5.91486 | + | 10.2448i | −0.264785 | + | 0.458622i | −0.967507 | − | 0.252843i | \(-0.918634\pi\) |
0.702722 | + | 0.711465i | \(0.251968\pi\) | |||||||
\(500\) | −17.6094 | −0.787517 | ||||||||
\(501\) | 2.70466 | + | 2.48549i | 0.120835 | + | 0.111043i | ||||
\(502\) | 9.43261 | 0.420998 | ||||||||
\(503\) | −21.8595 | −0.974665 | −0.487332 | − | 0.873217i | \(-0.662030\pi\) | ||||
−0.487332 | + | 0.873217i | \(0.662030\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.31762 | −0.325630 | ||||||||
\(506\) | −17.9694 | −0.798837 | ||||||||
\(507\) | −2.04202 | + | 9.14901i | −0.0906892 | + | 0.406322i | ||||
\(508\) | −11.2574 | −0.499466 | ||||||||
\(509\) | 8.44831 | − | 14.6329i | 0.374465 | − | 0.648592i | −0.615782 | − | 0.787917i | \(-0.711160\pi\) |
0.990247 | + | 0.139324i | \(0.0444931\pi\) | |||||||
\(510\) | −1.36396 | − | 1.25343i | −0.0603971 | − | 0.0555029i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 15.8563 | 0.700756 | ||||||||
\(513\) | −20.6724 | − | 2.81186i | −0.912710 | − | 0.124147i | ||||
\(514\) | −2.80271 | + | 4.85444i | −0.123622 | + | 0.214120i | ||||
\(515\) | 10.1250 | + | 17.5371i | 0.446163 | + | 0.772777i | ||||
\(516\) | −0.583092 | + | 2.61247i | −0.0256692 | + | 0.115008i | ||||
\(517\) | 23.3615 | + | 40.4633i | 1.02744 | + | 1.77957i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −30.2234 | + | 9.48190i | −1.32666 | + | 0.416209i | ||||
\(520\) | −9.34230 | −0.409687 | ||||||||
\(521\) | 17.2466 | − | 29.8720i | 0.755587 | − | 1.30872i | −0.189495 | − | 0.981882i | \(-0.560685\pi\) |
0.945082 | − | 0.326834i | \(-0.105982\pi\) | |||||||
\(522\) | −1.15475 | − | 13.6483i | −0.0505420 | − | 0.597371i | ||||
\(523\) | −0.995615 | − | 1.72445i | −0.0435352 | − | 0.0754051i | 0.843437 | − | 0.537229i | \(-0.180529\pi\) |
−0.886972 | + | 0.461823i | \(0.847195\pi\) | |||||||
\(524\) | 15.8577 | − | 27.4664i | 0.692749 | − | 1.19988i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.09622 | − | 1.89870i | −0.0477972 | − | 0.0827873i | ||||
\(527\) | 1.40287 | − | 2.42983i | 0.0611098 | − | 0.105845i | ||||
\(528\) | −9.46922 | − | 8.70189i | −0.412095 | − | 0.378701i | ||||
\(529\) | −3.27836 | − | 5.67829i | −0.142538 | − | 0.246882i | ||||
\(530\) | 0.391843 | + | 0.678693i | 0.0170206 | + | 0.0294805i | ||||
\(531\) | 16.2124 | − | 11.2831i | 0.703558 | − | 0.489644i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.342629 | − | 0.593452i | 0.0148409 | − | 0.0257052i | ||||
\(534\) | 11.5632 | + | 10.6261i | 0.500387 | + | 0.459838i | ||||
\(535\) | 10.9154 | 0.471916 | ||||||||
\(536\) | 29.9602 | 1.29408 | ||||||||
\(537\) | −2.87712 | + | 12.8906i | −0.124157 | + | 0.556270i | ||||
\(538\) | 5.15720 | − | 8.93253i | 0.222343 | − | 0.385109i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −4.34817 | − | 10.6261i | −0.187115 | − | 0.457276i | ||||
\(541\) | −15.0681 | − | 26.0988i | −0.647830 | − | 1.12207i | −0.983640 | − | 0.180145i | \(-0.942343\pi\) |
0.335810 | − | 0.941930i | \(-0.390990\pi\) | |||||||
\(542\) | −2.72362 | − | 4.71745i | −0.116989 | − | 0.202632i | ||||
\(543\) | 25.6662 | − | 8.05220i | 1.10144 | − | 0.345553i | ||||
\(544\) | −3.23008 | + | 5.59466i | −0.138488 | + | 0.239869i | ||||
\(545\) | 1.21033 | + | 2.09636i | 0.0518450 | + | 0.0897982i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.68070 | − | 13.3034i | 0.328403 | − | 0.568810i | −0.653792 | − | 0.756674i | \(-0.726823\pi\) |
0.982195 | + | 0.187864i | \(0.0601563\pi\) | |||||||
\(548\) | 9.46800 | + | 16.3991i | 0.404453 | + | 0.700533i | ||||
\(549\) | −0.185329 | + | 0.128980i | −0.00790964 | + | 0.00550474i | ||||
\(550\) | −4.90757 | + | 8.50016i | −0.209260 | + | 0.362448i | ||||
\(551\) | 27.3469 | 1.16502 | ||||||||
\(552\) | −4.88221 | + | 21.8741i | −0.207801 | + | 0.931025i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.30546 | − | 7.45728i | −0.182921 | − | 0.316829i | ||||
\(555\) | −3.34294 | + | 1.04877i | −0.141900 | + | 0.0445179i | ||||
\(556\) | −1.92423 | − | 3.33287i | −0.0816056 | − | 0.141345i | ||||
\(557\) | −11.6412 | + | 20.1631i | −0.493252 | + | 0.854338i | −0.999970 | − | 0.00777438i | \(-0.997525\pi\) |
0.506718 | + | 0.862112i | \(0.330859\pi\) | |||||||
\(558\) | −4.13615 | + | 2.87857i | −0.175097 | + | 0.121859i | ||||
\(559\) | −2.74531 | −0.116114 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.12397 | − | 2.86244i | 0.385214 | − | 0.120852i | ||||
\(562\) | −0.485375 | + | 0.840695i | −0.0204743 | + | 0.0354626i | ||||
\(563\) | −4.55885 | −0.192133 | −0.0960663 | − | 0.995375i | \(-0.530626\pi\) | ||||
−0.0960663 | + | 0.995375i | \(0.530626\pi\) | |||||||
\(564\) | 24.2832 | − | 7.61830i | 1.02251 | − | 0.320788i | ||||
\(565\) | −0.855964 | −0.0360107 | ||||||||
\(566\) | 11.6896 | 0.491351 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.191588 | −0.00803885 | ||||||||
\(569\) | 18.1995 | 0.762963 | 0.381482 | − | 0.924376i | \(-0.375414\pi\) | ||||
0.381482 | + | 0.924376i | \(0.375414\pi\) | |||||||
\(570\) | −6.33800 | + | 1.98840i | −0.265470 | + | 0.0832850i | ||||
\(571\) | −17.0455 | −0.713332 | −0.356666 | − | 0.934232i | \(-0.616087\pi\) | ||||
−0.356666 | + | 0.934232i | \(0.616087\pi\) | |||||||
\(572\) | 10.5307 | − | 18.2398i | 0.440313 | − | 0.762644i | ||||
\(573\) | −24.5126 | + | 7.69027i | −1.02403 | + | 0.321266i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.1443 | −0.673264 | ||||||||
\(576\) | 2.10757 | − | 1.46677i | 0.0878155 | − | 0.0611155i | ||||
\(577\) | 5.70473 | − | 9.88088i | 0.237491 | − | 0.411346i | −0.722503 | − | 0.691368i | \(-0.757008\pi\) |
0.959994 | + | 0.280022i | \(0.0903417\pi\) | |||||||
\(578\) | 5.27764 | + | 9.14113i | 0.219521 | + | 0.380221i | ||||
\(579\) | −27.3803 | + | 8.58995i | −1.13789 | + | 0.356986i | ||||
\(580\) | 7.52485 | + | 13.0334i | 0.312452 | + | 0.541183i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.36657 | − | 6.12273i | 0.0566460 | − | 0.253795i | ||||
\(583\) | −4.04549 | −0.167547 | ||||||||
\(584\) | 12.7229 | − | 22.0368i | 0.526479 | − | 0.911889i | ||||
\(585\) | 9.66514 | − | 6.72649i | 0.399604 | − | 0.278106i | ||||
\(586\) | 0.603332 | + | 1.04500i | 0.0249234 | + | 0.0431686i | ||||
\(587\) | −2.52544 | + | 4.37420i | −0.104236 | + | 0.180543i | −0.913426 | − | 0.407005i | \(-0.866573\pi\) |
0.809190 | + | 0.587548i | \(0.199906\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.03052 | − | 8.71312i | −0.207279 | − | 0.359018i | ||||
\(590\) | 3.14449 | − | 5.44642i | 0.129457 | − | 0.224226i | ||||
\(591\) | 6.67232 | − | 2.09329i | 0.274463 | − | 0.0861064i | ||||
\(592\) | 1.06882 | + | 1.85126i | 0.0439283 | + | 0.0760861i | ||||
\(593\) | 9.98892 | + | 17.3013i | 0.410196 | + | 0.710480i | 0.994911 | − | 0.100759i | \(-0.0321271\pi\) |
−0.584715 | + | 0.811239i | \(0.698794\pi\) | |||||||
\(594\) | −17.0179 | − | 2.31477i | −0.698254 | − | 0.0949763i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.63365 | + | 11.4898i | −0.271725 | + | 0.470641i | ||||
\(597\) | −9.53873 | + | 42.7371i | −0.390394 | + | 1.74911i | ||||
\(598\) | −10.0387 | −0.410513 | ||||||||
\(599\) | 4.39321 | 0.179502 | 0.0897508 | − | 0.995964i | \(-0.471393\pi\) | ||||
0.0897508 | + | 0.995964i | \(0.471393\pi\) | |||||||
\(600\) | 9.01387 | + | 8.28344i | 0.367990 | + | 0.338170i | ||||
\(601\) | −12.1778 | + | 21.0926i | −0.496743 | + | 0.860385i | −0.999993 | − | 0.00375637i | \(-0.998804\pi\) |
0.503250 | + | 0.864141i | \(0.332138\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −30.9955 | + | 21.5715i | −1.26224 | + | 0.878457i | ||||
\(604\) | −13.6917 | − | 23.7147i | −0.557107 | − | 0.964937i | ||||
\(605\) | 9.48476 | + | 16.4281i | 0.385610 | + | 0.667897i | ||||
\(606\) | 4.39022 | + | 4.03446i | 0.178340 | + | 0.163889i | ||||
\(607\) | 6.56281 | − | 11.3671i | 0.266376 | − | 0.461377i | −0.701547 | − | 0.712623i | \(-0.747507\pi\) |
0.967923 | + | 0.251246i | \(0.0808403\pi\) | |||||||
\(608\) | 11.5827 | + | 20.0618i | 0.469741 | + | 0.813615i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.0359456 | + | 0.0622597i | −0.00145540 | + | 0.00252082i | ||||
\(611\) | 13.0510 | + | 22.6051i | 0.527988 | + | 0.914502i | ||||
\(612\) | −0.439125 | − | 5.19016i | −0.0177506 | − | 0.209800i | ||||
\(613\) | −23.2403 | + | 40.2534i | −0.938667 | + | 1.62582i | −0.170707 | + | 0.985322i | \(0.554605\pi\) |
−0.767960 | + | 0.640497i | \(0.778728\pi\) | |||||||
\(614\) | −0.713754 | −0.0288048 | ||||||||
\(615\) | 0.585823 | − | 0.183789i | 0.0236227 | − | 0.00741108i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.1948 | + | 24.5862i | 0.571463 | + | 0.989803i | 0.996416 | + | 0.0845873i | \(0.0269572\pi\) |
−0.424953 | + | 0.905215i | \(0.639709\pi\) | |||||||
\(618\) | 3.59427 | − | 16.1037i | 0.144583 | − | 0.647786i | ||||
\(619\) | 15.9606 | + | 27.6446i | 0.641511 | + | 1.11113i | 0.985096 | + | 0.172008i | \(0.0550254\pi\) |
−0.343585 | + | 0.939122i | \(0.611641\pi\) | |||||||
\(620\) | 2.76843 | − | 4.79506i | 0.111183 | − | 0.192574i | ||||
\(621\) | −10.6985 | − | 26.1452i | −0.429317 | − | 1.04917i | ||||
\(622\) | 11.3482 | 0.455023 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −5.29004 | − | 4.86136i | −0.211771 | − | 0.194610i | ||||
\(625\) | 0.666993 | − | 1.15527i | 0.0266797 | − | 0.0462106i | ||||
\(626\) | 5.54939 | 0.221798 | ||||||||
\(627\) | 7.46956 | − | 33.4664i | 0.298306 | − | 1.33652i | ||||
\(628\) | 9.80244 | 0.391160 | ||||||||
\(629\) | −1.58947 | −0.0633762 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.7184 | 1.54135 | 0.770677 | − | 0.637226i | \(-0.219918\pi\) | ||||
0.770677 | + | 0.637226i | \(0.219918\pi\) | |||||||
\(632\) | 4.39112 | 0.174669 | ||||||||
\(633\) | 9.59675 | + | 8.81908i | 0.381436 | + | 0.350527i | ||||
\(634\) | 4.38895 | 0.174307 | ||||||||
\(635\) | 5.17236 | − | 8.95878i | 0.205259 | − | 0.355519i | ||||
\(636\) | −0.480022 | + | 2.15068i | −0.0190341 | + | 0.0852799i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 22.5124 | 0.891276 | ||||||||
\(639\) | 0.198209 | − | 0.137944i | 0.00784101 | − | 0.00545698i | ||||
\(640\) | −7.81261 | + | 13.5318i | −0.308821 | + | 0.534893i | ||||
\(641\) | 20.2001 | + | 34.9875i | 0.797854 | + | 1.38192i | 0.921011 | + | 0.389537i | \(0.127365\pi\) |
−0.123157 | + | 0.992387i | \(0.539302\pi\) | |||||||
\(642\) | −6.54874 | − | 6.01806i | −0.258458 | − | 0.237514i | ||||
\(643\) | −6.27355 | − | 10.8661i | −0.247405 | − | 0.428517i | 0.715400 | − | 0.698715i | \(-0.246244\pi\) |
−0.962805 | + | 0.270198i | \(0.912911\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.81113 | − | 1.66437i | −0.0713132 | − | 0.0655344i | ||||
\(646\) | −3.01352 | −0.118565 | ||||||||
\(647\) | −17.2774 | + | 29.9253i | −0.679245 | + | 1.17649i | 0.295964 | + | 0.955199i | \(0.404359\pi\) |
−0.975209 | + | 0.221287i | \(0.928974\pi\) | |||||||
\(648\) | −7.44147 | + | 20.0870i | −0.292328 | + | 0.789091i | ||||
\(649\) | 16.2323 | + | 28.1151i | 0.637173 | + | 1.10362i | ||||
\(650\) | −2.74164 | + | 4.74866i | −0.107536 | + | 0.186258i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.22019 | + | 10.7737i | 0.243602 | + | 0.421930i | ||||
\(653\) | 11.1472 | − | 19.3075i | 0.436223 | − | 0.755560i | −0.561172 | − | 0.827699i | \(-0.689649\pi\) |
0.997395 | + | 0.0721392i | \(0.0229826\pi\) | |||||||
\(654\) | 0.429654 | − | 1.92501i | 0.0168008 | − | 0.0752740i | ||||
\(655\) | 14.5721 | + | 25.2396i | 0.569379 | + | 0.986194i | ||||
\(656\) | −0.187302 | − | 0.324417i | −0.00731293 | − | 0.0126664i | ||||
\(657\) | 2.70395 | + | 31.9589i | 0.105491 | + | 1.24683i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.57493 | − | 6.19196i | 0.139259 | − | 0.241204i | −0.787957 | − | 0.615730i | \(-0.788861\pi\) |
0.927217 | + | 0.374526i | \(0.122194\pi\) | |||||||
\(660\) | 18.0053 | − | 5.64876i | 0.700857 | − | 0.219878i | ||||
\(661\) | −42.9060 | −1.66885 | −0.834425 | − | 0.551122i | \(-0.814200\pi\) | ||||
−0.834425 | + | 0.551122i | \(0.814200\pi\) | |||||||
\(662\) | −17.9152 | −0.696294 | ||||||||
\(663\) | 5.09716 | − | 1.59912i | 0.197957 | − | 0.0621046i | ||||
\(664\) | −17.2221 | + | 29.8296i | −0.668349 | + | 1.15761i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.58383 | + | 1.21387i | 0.100121 | + | 0.0470365i | ||||
\(667\) | 18.5146 | + | 32.0683i | 0.716889 | + | 1.24169i | ||||
\(668\) | 1.64428 | + | 2.84798i | 0.0636191 | + | 0.110192i | ||||
\(669\) | 4.89912 | − | 21.9499i | 0.189411 | − | 0.848632i | ||||
\(670\) | −6.01177 | + | 10.4127i | −0.232255 | + | 0.402277i | ||||
\(671\) | −0.185556 | − | 0.321392i | −0.00716331 | − | 0.0124072i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.8270 | + | 32.6094i | −0.725729 | + | 1.25700i | 0.232944 | + | 0.972490i | \(0.425164\pi\) |
−0.958673 | + | 0.284510i | \(0.908169\pi\) | |||||||
\(674\) | −3.19188 | − | 5.52850i | −0.122947 | − | 0.212950i | ||||
\(675\) | −15.2895 | − | 2.07967i | −0.588492 | − | 0.0800465i | ||||
\(676\) | −4.19619 | + | 7.26801i | −0.161392 | + | 0.279539i | ||||
\(677\) | 26.3616 | 1.01316 | 0.506580 | − | 0.862193i | \(-0.330910\pi\) | ||||
0.506580 | + | 0.862193i | \(0.330910\pi\) | |||||||
\(678\) | 0.513537 | + | 0.471923i | 0.0197223 | + | 0.0181241i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.89871 | − | 3.28866i | −0.0728121 | − | 0.126114i | ||||
\(681\) | 36.9417 | + | 33.9482i | 1.41561 | + | 1.30090i | ||||
\(682\) | −4.14122 | − | 7.17280i | −0.158575 | − | 0.274661i | ||||
\(683\) | 1.96588 | − | 3.40500i | 0.0752222 | − | 0.130289i | −0.825961 | − | 0.563728i | \(-0.809367\pi\) |
0.901183 | + | 0.433439i | \(0.142700\pi\) | |||||||
\(684\) | −16.9052 | − | 7.94198i | −0.646387 | − | 0.303669i | ||||
\(685\) | −17.4008 | −0.664850 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.82396 | + | 26.0936i | −0.222198 | + | 0.995531i | ||||
\(688\) | −0.750378 | + | 1.29969i | −0.0286079 | + | 0.0495503i | ||||
\(689\) | −2.26004 | −0.0861006 | ||||||||
\(690\) | −6.62271 | − | 6.08604i | −0.252122 | − | 0.231692i | ||||
\(691\) | −19.9010 | −0.757072 | −0.378536 | − | 0.925587i | \(-0.623572\pi\) | ||||
−0.378536 | + | 0.925587i | \(0.623572\pi\) | |||||||
\(692\) | −28.3585 | −1.07803 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.5373 | −0.475910 | ||||||||
\(695\) | 3.53645 | 0.134145 | ||||||||
\(696\) | 6.11653 | − | 27.4044i | 0.231847 | − | 1.03876i | ||||
\(697\) | 0.278541 | 0.0105505 | ||||||||
\(698\) | 10.0913 | − | 17.4787i | 0.381963 | − | 0.661579i | ||||
\(699\) | 6.30838 | + | 5.79718i | 0.238605 | + | 0.219270i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 43.7908 | 1.65396 | 0.826979 | − | 0.562234i | \(-0.190058\pi\) | ||||
0.826979 | + | 0.562234i | \(0.190058\pi\) | |||||||
\(702\) | −9.50716 | − | 1.29316i | −0.358825 | − | 0.0488072i | ||||
\(703\) | −2.84983 | + | 4.93604i | −0.107483 | + | 0.186166i | ||||
\(704\) | 2.11016 | + | 3.65490i | 0.0795295 | + | 0.137749i | ||||
\(705\) | −5.09449 | + | 22.8252i | −0.191870 | + | 0.859648i | ||||
\(706\) | 2.09792 | + | 3.63370i | 0.0789561 | + | 0.136756i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 16.8727 | − | 5.29343i | 0.634115 | − | 0.198939i | ||||
\(709\) | 44.6344 | 1.67628 | 0.838139 | − | 0.545457i | \(-0.183644\pi\) | ||||
0.838139 | + | 0.545457i | \(0.183644\pi\) | |||||||
\(710\) | 0.0384437 | − | 0.0665865i | 0.00144277 | − | 0.00249895i | ||||
\(711\) | −4.54286 | + | 3.16162i | −0.170371 | + | 0.118570i | ||||
\(712\) | 16.0966 | + | 27.8801i | 0.603244 | + | 1.04485i | ||||
\(713\) | 6.81163 | − | 11.7981i | 0.255097 | − | 0.441842i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.67699 | + | 16.7610i | 0.361899 | + | 0.626827i | ||||
\(716\) | −5.91227 | + | 10.2403i | −0.220952 | + | 0.382700i | ||||
\(717\) | −16.6234 | − | 15.2764i | −0.620814 | − | 0.570506i | ||||
\(718\) | −3.41705 | − | 5.91851i | −0.127523 | − | 0.220877i | ||||
\(719\) | 19.5096 | + | 33.7917i | 0.727586 | + | 1.26022i | 0.957901 | + | 0.287100i | \(0.0926912\pi\) |
−0.230315 | + | 0.973116i | \(0.573976\pi\) | |||||||
\(720\) | −0.542692 | − | 6.41425i | −0.0202249 | − | 0.239045i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0.965081 | − | 1.67157i | 0.0359166 | − | 0.0622094i | ||||
\(723\) | −18.5974 | − | 17.0904i | −0.691645 | − | 0.635598i | ||||
\(724\) | 24.0825 | 0.895019 | ||||||||
\(725\) | 20.2259 | 0.751171 | ||||||||
\(726\) | 3.36698 | − | 15.0853i | 0.124960 | − | 0.559869i | ||||
\(727\) | 11.2554 | − | 19.4949i | 0.417439 | − | 0.723025i | −0.578242 | − | 0.815865i | \(-0.696261\pi\) |
0.995681 | + | 0.0928402i | \(0.0295946\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.76407 | − | 26.1390i | −0.250521 | − | 0.968111i | ||||
\(730\) | 5.10593 | + | 8.84373i | 0.188979 | + | 0.327321i | ||||
\(731\) | −0.557951 | − | 0.966399i | −0.0206366 | − | 0.0357436i | ||||
\(732\) | −0.192877 | + | 0.0605107i | −0.00712894 | + | 0.00223654i | ||||
\(733\) | −0.448519 | + | 0.776858i | −0.0165664 | + | 0.0286939i | −0.874190 | − | 0.485584i | \(-0.838607\pi\) |
0.857623 | + | 0.514278i | \(0.171940\pi\) | |||||||
\(734\) | −9.60441 | − | 16.6353i | −0.354505 | − | 0.614021i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.6837 | + | 27.1649i | −0.578108 | + | 1.00131i | ||||
\(737\) | −31.0335 | − | 53.7517i | −1.14314 | − | 1.97997i | ||||
\(738\) | −0.452795 | − | 0.212720i | −0.0166676 | − | 0.00783035i | ||||
\(739\) | 1.79032 | − | 3.10092i | 0.0658578 | − | 0.114069i | −0.831216 | − | 0.555949i | \(-0.812355\pi\) |
0.897074 | + | 0.441880i | \(0.145688\pi\) | |||||||
\(740\) | −3.13667 | −0.115306 | ||||||||
\(741\) | 4.17291 | − | 18.6962i | 0.153296 | − | 0.686823i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.7964 | − | 42.9486i | −0.909691 | − | 1.57563i | −0.814493 | − | 0.580173i | \(-0.802985\pi\) |
−0.0951977 | − | 0.995458i | \(-0.530348\pi\) | |||||||
\(744\) | −9.85660 | + | 3.09228i | −0.361360 | + | 0.113369i | ||||
\(745\) | −6.09583 | − | 10.5583i | −0.223334 | − | 0.386826i | ||||
\(746\) | 5.38726 | − | 9.33101i | 0.197242 | − | 0.341633i | ||||
\(747\) | −3.66015 | − | 43.2604i | −0.133918 | − | 1.58282i | ||||
\(748\) | 8.56098 | 0.313020 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.5804 | + | 3.94682i | −0.459373 | + | 0.144118i | ||||
\(751\) | 21.4515 | − | 37.1551i | 0.782776 | − | 1.35581i | −0.147543 | − | 0.989056i | \(-0.547136\pi\) |
0.930319 | − | 0.366752i | \(-0.119530\pi\) | |||||||
\(752\) | 14.2690 | 0.520337 | ||||||||
\(753\) | −23.2550 | + | 7.29574i | −0.847461 | + | 0.265871i | ||||
\(754\) | 12.5767 | 0.458016 | ||||||||
\(755\) | 25.1633 | 0.915786 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.8029 | 0.501677 | 0.250838 | − | 0.968029i | \(-0.419294\pi\) | ||||
0.250838 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(758\) | −0.683021 | −0.0248084 | ||||||||
\(759\) | 44.3015 | − | 13.8986i | 1.60804 | − | 0.504487i | ||||
\(760\) | −13.6171 | −0.493945 | ||||||||
\(761\) | 20.3599 | − | 35.2643i | 0.738044 | − | 1.27833i | −0.215330 | − | 0.976541i | \(-0.569083\pi\) |
0.953375 | − | 0.301789i | \(-0.0975839\pi\) | |||||||
\(762\) | −8.04245 | + | 2.52314i | −0.291347 | + | 0.0914036i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −23.0001 | −0.832113 | ||||||||
\(765\) | 4.33216 | + | 2.03523i | 0.156630 | + | 0.0735838i | ||||
\(766\) | −3.88342 | + | 6.72627i | −0.140313 | + | 0.243030i | ||||
\(767\) | 9.06826 | + | 15.7067i | 0.327436 | + | 0.567135i | ||||
\(768\) | 14.9768 | − | 4.69862i | 0.540428 | − | 0.169547i | ||||
\(769\) | −5.57381 | − | 9.65413i | −0.200997 | − | 0.348137i | 0.747853 | − | 0.663864i | \(-0.231085\pi\) |
−0.948850 | + | 0.315728i | \(0.897751\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.15506 | − | 14.1359i | 0.113627 | − | 0.509090i | ||||
\(772\) | −25.6908 | −0.924633 | ||||||||
\(773\) | 0.462831 | − | 0.801647i | 0.0166469 | − | 0.0288332i | −0.857582 | − | 0.514347i | \(-0.828034\pi\) |
0.874229 | + | 0.485514i | \(0.161368\pi\) | |||||||
\(774\) | 0.168967 | + | 1.99708i | 0.00607341 | + | 0.0717835i | ||||
\(775\) | −3.72061 | − | 6.44428i | −0.133648 | − | 0.231485i | ||||
\(776\) | 6.43012 | − | 11.1373i | 0.230828 | − | 0.399806i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.97049 | − | 10.3412i | −0.214052 | − | 0.370750i | ||||
\(779\) | 0.499408 | − | 0.865001i | 0.0178932 | − | 0.0309919i | ||||
\(780\) | 10.0588 | − | 3.15571i | 0.360162 | − | 0.112993i | ||||
\(781\) | 0.198452 | + | 0.343728i | 0.00710116 | + | 0.0122996i | ||||
\(782\) | −2.04024 | − | 3.53381i | −0.0729590 | − | 0.126369i | ||||
\(783\) | 13.4033 | + | 32.7553i | 0.478996 | + | 1.17058i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.50386 | + | 7.80092i | −0.160750 | + | 0.278427i | ||||
\(786\) | 5.17293 | − | 23.1767i | 0.184512 | − | 0.826684i | ||||
\(787\) | −23.0240 | −0.820716 | −0.410358 | − | 0.911925i | \(-0.634596\pi\) | ||||
−0.410358 | + | 0.911925i | \(0.634596\pi\) | |||||||
\(788\) | 6.26061 | 0.223025 | ||||||||
\(789\) | 4.17116 | + | 3.83315i | 0.148497 | + | 0.136464i | ||||
\(790\) | −0.881115 | + | 1.52614i | −0.0313487 | + | 0.0542975i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −31.8661 | − | 14.9705i | −1.13231 | − | 0.531955i | ||||
\(793\) | −0.103662 | − | 0.179548i | −0.00368114 | − | 0.00637593i | ||||
\(794\) | 4.38551 | + | 7.59592i | 0.155636 | + | 0.269569i | ||||
\(795\) | −1.49099 | − | 1.37017i | −0.0528798 | − | 0.0485947i | ||||
\(796\) | −19.6014 | + | 33.9505i | −0.694752 | + | 1.20335i | ||||
\(797\) | −11.3925 | − | 19.7325i | −0.403544 | − | 0.698960i | 0.590606 | − | 0.806960i | \(-0.298889\pi\) |
−0.994151 | + | 0.108000i | \(0.965555\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.30492 | + | 9.18839i | −0.187675 | + | 0.325062i | ||||
\(800\) | 8.56664 | + | 14.8379i | 0.302877 | + | 0.524598i | ||||
\(801\) | −36.7265 | − | 17.2539i | −1.29767 | − | 0.609637i | ||||
\(802\) | −4.72695 | + | 8.18732i | −0.166914 | + | 0.289104i | ||||
\(803\) | −52.7150 | −1.86027 | ||||||||
\(804\) | −32.2579 | + | 10.1202i | −1.13765 | + | 0.356912i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.31352 | − | 4.00713i | −0.0814901 | − | 0.141145i | ||||
\(807\) | −5.80555 | + | 26.0110i | −0.204365 | + | 0.915632i | ||||
\(808\) | 6.11143 | + | 10.5853i | 0.214999 | + | 0.372390i | ||||
\(809\) | 6.73753 | − | 11.6697i | 0.236879 | − | 0.410286i | −0.722938 | − | 0.690913i | \(-0.757209\pi\) |
0.959817 | + | 0.280627i | \(0.0905422\pi\) | |||||||
\(810\) | −5.48805 | − | 6.61691i | −0.192830 | − | 0.232495i | ||||
\(811\) | 30.7348 | 1.07924 | 0.539622 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539622 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.3635 | + | 9.52372i | 0.363465 | + | 0.334011i | ||||
\(814\) | −2.34603 | + | 4.06344i | −0.0822283 | + | 0.142424i | ||||
\(815\) | −11.4318 | −0.400439 | ||||||||
\(816\) | 0.636152 | − | 2.85020i | 0.0222698 | − | 0.0997769i | ||||
\(817\) | −4.00150 | −0.139995 | ||||||||
\(818\) | 1.77369 | 0.0620158 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.549675 | 0.0191955 | ||||||||
\(821\) | −16.9864 | −0.592829 | −0.296414 | − | 0.955059i | \(-0.595791\pi\) | ||||
−0.296414 | + | 0.955059i | \(0.595791\pi\) | |||||||
\(822\) | 10.4396 | + | 9.59367i | 0.364124 | + | 0.334618i | ||||
\(823\) | −18.5831 | −0.647768 | −0.323884 | − | 0.946097i | \(-0.604989\pi\) | ||||
−0.323884 | + | 0.946097i | \(0.604989\pi\) | |||||||
\(824\) | 16.9122 | − | 29.2928i | 0.589164 | − | 1.02046i | ||||
\(825\) | 5.52453 | − | 24.7520i | 0.192340 | − | 0.861754i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.5419 | 0.505670 | 0.252835 | − | 0.967509i | \(-0.418637\pi\) | ||||
0.252835 | + | 0.967509i | \(0.418637\pi\) | |||||||
\(828\) | −2.13218 | − | 25.2009i | −0.0740982 | − | 0.875791i | ||||
\(829\) | −4.78717 | + | 8.29161i | −0.166265 | + | 0.287980i | −0.937104 | − | 0.349051i | \(-0.886504\pi\) |
0.770839 | + | 0.637030i | \(0.219837\pi\) | |||||||
\(830\) | −6.91154 | − | 11.9711i | −0.239903 | − | 0.415524i | ||||
\(831\) | 16.3825 | + | 15.0550i | 0.568303 | + | 0.522251i | ||||
\(832\) | 1.17885 | + | 2.04183i | 0.0408693 | + | 0.0707877i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.12170 | − | 1.94977i | −0.0734685 | − | 0.0675150i | ||||
\(835\) | −3.02195 | −0.104579 | ||||||||
\(836\) | 15.3494 | − | 26.5859i | 0.530869 | − | 0.919492i | ||||
\(837\) | 7.97075 | − | 10.2959i | 0.275509 | − | 0.355879i | ||||
\(838\) | −11.2326 | − | 19.4554i | −0.388023 | − | 0.672075i | ||||
\(839\) | −21.2303 | + | 36.7720i | −0.732952 | + | 1.26951i | 0.222664 | + | 0.974895i | \(0.428525\pi\) |
−0.955616 | + | 0.294615i | \(0.904809\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69551 | − | 15.0611i | −0.299845 | − | 0.519347i | ||||
\(842\) | −1.62187 | + | 2.80917i | −0.0558934 | + | 0.0968103i | ||||
\(843\) | 0.546395 | − | 2.44806i | 0.0188189 | − | 0.0843155i | ||||
\(844\) | 5.83428 | + | 10.1053i | 0.200824 | + | 0.347838i | ||||
\(845\) | −3.85599 | − | 6.67877i | −0.132650 | − | 0.229757i | ||||
\(846\) | 15.6408 | − | 10.8853i | 0.537742 | − | 0.374243i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.617738 | + | 1.06995i | −0.0212132 | + | 0.0367423i | ||||
\(849\) | −28.8194 | + | 9.04143i | −0.989079 | + | 0.310301i | ||||
\(850\) | −2.22882 | −0.0764479 | ||||||||
\(851\) | −7.71767 | −0.264558 | ||||||||
\(852\) | 0.206281 | − | 0.0647161i | 0.00706708 | − | 0.00221714i | ||||
\(853\) | −7.14039 | + | 12.3675i | −0.244482 | + | 0.423456i | −0.961986 | − | 0.273099i | \(-0.911951\pi\) |
0.717504 | + | 0.696555i | \(0.245285\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 14.0877 | − | 9.80436i | 0.481788 | − | 0.335302i | ||||
\(856\) | −9.11621 | − | 15.7897i | −0.311586 | − | 0.539682i | ||||
\(857\) | 17.3895 | + | 30.1195i | 0.594013 | + | 1.02886i | 0.993685 | + | 0.112203i | \(0.0357907\pi\) |
−0.399672 | + | 0.916658i | \(0.630876\pi\) | |||||||
\(858\) | 3.43522 | − | 15.3911i | 0.117276 | − | 0.525442i | ||||
\(859\) | −6.32429 | + | 10.9540i | −0.215782 | + | 0.373745i | −0.953514 | − | 0.301348i | \(-0.902563\pi\) |
0.737732 | + | 0.675093i | \(0.235897\pi\) | |||||||
\(860\) | −1.10107 | − | 1.90710i | −0.0375460 | − | 0.0650316i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11.8409 | − | 20.5091i | 0.403304 | − | 0.698543i | ||||
\(863\) | 13.2398 | + | 22.9321i | 0.450690 | + | 0.780617i | 0.998429 | − | 0.0560318i | \(-0.0178448\pi\) |
−0.547739 | + | 0.836649i | \(0.684511\pi\) | |||||||
\(864\) | −18.3525 | + | 23.7062i | −0.624366 | + | 0.806501i | ||||
\(865\) | 13.0297 | − | 22.5681i | 0.443022 | − | 0.767337i | ||||
\(866\) | −3.66943 | −0.124692 | ||||||||
\(867\) | −20.0817 | − | 18.4544i | −0.682011 | − | 0.626744i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.54843 | − | 7.87811i | −0.154295 | − | 0.267247i | ||||
\(870\) | 8.29707 | + | 7.62472i | 0.281297 | + | 0.258502i | ||||
\(871\) | −17.3371 | − | 30.0287i | −0.587444 | − | 1.01748i | ||||
\(872\) | 2.02166 | − | 3.50162i | 0.0684621 | − | 0.118580i | ||||
\(873\) | 1.36657 | + | 16.1519i | 0.0462512 | + | 0.546658i | ||||
\(874\) | −14.6322 | −0.494941 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −6.25494 | + | 28.0245i | −0.211335 | + | 0.946860i | ||||
\(877\) | −14.2267 | + | 24.6414i | −0.480402 | + | 0.832081i | −0.999747 | − | 0.0224835i | \(-0.992843\pi\) |
0.519345 | + | 0.854565i | \(0.326176\pi\) | |||||||
\(878\) | −4.28887 | −0.144742 | ||||||||
\(879\) | −2.29571 | − | 2.10968i | −0.0774325 | − | 0.0711578i | ||||
\(880\) | 10.5801 | 0.356654 | ||||||||
\(881\) | 20.3637 | 0.686071 | 0.343036 | − | 0.939322i | \(-0.388545\pi\) | ||||
0.343036 | + | 0.939322i | \(0.388545\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.1950 | 1.65554 | 0.827772 | − | 0.561065i | \(-0.189608\pi\) | ||||
0.827772 | + | 0.561065i | \(0.189608\pi\) | |||||||
\(884\) | 4.78264 | 0.160858 | ||||||||
\(885\) | −3.53981 | + | 15.8597i | −0.118989 | + | 0.533117i | ||||
\(886\) | −4.28129 | −0.143833 | ||||||||
\(887\) | −2.10846 | + | 3.65196i | −0.0707952 | + | 0.122621i | −0.899250 | − | 0.437435i | \(-0.855887\pi\) |
0.828455 | + | 0.560056i | \(0.189220\pi\) | |||||||
\(888\) | 4.30902 | + | 3.95984i | 0.144601 | + | 0.132883i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −12.9196 | −0.433067 | ||||||||
\(891\) | 43.7461 | − | 7.45585i | 1.46555 | − | 0.249780i | ||||
\(892\) | 10.0673 | − | 17.4371i | 0.337078 | − | 0.583837i | ||||
\(893\) | 19.0229 | + | 32.9486i | 0.636576 | + | 1.10258i | ||||
\(894\) | −2.16395 | + | 9.69531i | −0.0723733 | + | 0.324260i | ||||
\(895\) | −5.43294 | − | 9.41013i | −0.181603 | − | 0.314546i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.7493 | − | 7.76453i | 0.826355 | − | 0.259250i | ||||
\(898\) | −7.87371 | −0.262749 | ||||||||
\(899\) | −8.53374 | + | 14.7809i | −0.284616 | + | 0.492970i | ||||
\(900\) | −12.5032 | − | 5.87394i | −0.416774 | − | 0.195798i | ||||
\(901\) | −0.459325 | − | 0.795574i | −0.0153023 | − | 0.0265044i | ||||
\(902\) | 0.411122 | − | 0.712084i | 0.0136889 | − | 0.0237098i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.714872 | + | 1.23819i | 0.0237763 | + | 0.0411817i | ||||
\(905\) | −11.0650 | + | 19.1652i | −0.367814 | + | 0.637072i | ||||
\(906\) | −15.0968 | − | 13.8734i | −0.501556 | − | 0.460913i | ||||
\(907\) | −23.9925 | − | 41.5563i | −0.796659 | − | 1.37985i | −0.921780 | − | 0.387713i | \(-0.873265\pi\) |
0.125121 | − | 0.992142i | \(-0.460068\pi\) | |||||||
\(908\) | 22.4585 | + | 38.8993i | 0.745311 | + | 1.29092i | ||||
\(909\) | −13.9441 | − | 6.55085i | −0.462496 | − | 0.217278i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.8667 | + | 22.2858i | −0.426294 | + | 0.738362i | −0.996540 | − | 0.0831113i | \(-0.973514\pi\) |
0.570247 | + | 0.821474i | \(0.306848\pi\) | |||||||
\(912\) | −7.71063 | − | 7.08580i | −0.255324 | − | 0.234634i | ||||
\(913\) | 71.3565 | 2.36155 | ||||||||
\(914\) | 7.05351 | 0.233309 | ||||||||
\(915\) | 0.0404646 | − | 0.181297i | 0.00133772 | − | 0.00599348i | ||||
\(916\) | −11.9678 | + | 20.7288i | −0.395427 | + | 0.684900i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −1.47700 | − | 3.60951i | −0.0487482 | − | 0.119132i | ||||
\(919\) | 1.13478 | + | 1.96550i | 0.0374330 | + | 0.0648359i | 0.884135 | − | 0.467232i | \(-0.154749\pi\) |
−0.846702 | + | 0.532068i | \(0.821415\pi\) | |||||||
\(920\) | −9.21919 | − | 15.9681i | −0.303948 | − | 0.526453i | ||||
\(921\) | 1.75968 | − | 0.552059i | 0.0579834 | − | 0.0181910i | ||||
\(922\) | 2.37484 | − | 4.11334i | 0.0782111 | − | 0.135466i | ||||
\(923\) | 0.110866 | + | 0.192026i | 0.00364920 | + | 0.00632060i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.10775 | + | 3.65073i | −0.0693024 | + | 0.120035i | ||||
\(926\) | 10.9774 | + | 19.0134i | 0.360740 | + | 0.624819i | ||||
\(927\) | 3.59427 | + | 42.4819i | 0.118051 | + | 1.39529i | ||||
\(928\) | 19.6488 | − | 34.0328i | 0.645004 | − | 1.11718i | ||||
\(929\) | −45.8496 | −1.50428 | −0.752138 | − | 0.659006i | \(-0.770977\pi\) | ||||
−0.752138 | + | 0.659006i | \(0.770977\pi\) | |||||||
\(930\) | 0.903084 | − | 4.04616i | 0.0296133 | − | 0.132679i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.83514 | + | 6.64266i | 0.125624 | + | 0.217587i | ||||
\(933\) | −27.9778 | + | 8.77739i | −0.915952 | + | 0.287359i | ||||
\(934\) | −1.31530 | − | 2.27816i | −0.0430379 | − | 0.0745438i | ||||
\(935\) | −3.93346 | + | 6.81294i | −0.128638 | + | 0.222807i | ||||
\(936\) | −17.8022 | − | 8.36337i | −0.581883 | − | 0.273365i | ||||
\(937\) | 56.2075 | 1.83622 | 0.918110 | − | 0.396325i | \(-0.129715\pi\) | ||||
0.918110 | + | 0.396325i | \(0.129715\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −13.6814 | + | 4.29222i | −0.446475 | + | 0.140071i | ||||
\(940\) | −10.4688 | + | 18.1325i | −0.341454 | + | 0.591416i | ||||
\(941\) | 35.2803 | 1.15011 | 0.575053 | − | 0.818116i | \(-0.304982\pi\) | ||||
0.575053 | + | 0.818116i | \(0.304982\pi\) | |||||||
\(942\) | 7.00302 | − | 2.19704i | 0.228171 | − | 0.0715833i | ||||
\(943\) | 1.35246 | 0.0440421 | ||||||||
\(944\) | 9.91453 | 0.322691 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.29411 | −0.107101 | ||||||||
\(947\) | −50.7130 | −1.64795 | −0.823976 | − | 0.566625i | \(-0.808249\pi\) | ||||
−0.823976 | + | 0.566625i | \(0.808249\pi\) | |||||||
\(948\) | −4.72788 | + | 1.48327i | −0.153554 | + | 0.0481742i | ||||
\(949\) | −29.4495 | −0.955972 | ||||||||
\(950\) | −3.99615 | + | 6.92154i | −0.129652 | + | 0.224564i | ||||
\(951\) | −10.8204 | + | 3.39467i | −0.350877 | + | 0.110080i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.9988 | 0.842184 | 0.421092 | − | 0.907018i | \(-0.361647\pi\) | ||||
0.421092 | + | 0.907018i | \(0.361647\pi\) | |||||||
\(954\) | 0.139100 | + | 1.64407i | 0.00450352 | + | 0.0532286i | ||||
\(955\) | 10.5677 | − | 18.3038i | 0.341962 | − | 0.592296i | ||||
\(956\) | −10.1061 | − | 17.5043i | −0.326855 | − | 0.566130i | ||||
\(957\) | −55.5019 | + | 17.4124i | −1.79412 | + | 0.562864i | ||||
\(958\) | 5.39165 | + | 9.33861i | 0.174196 | + | 0.301717i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.460166 | + | 2.06172i | −0.0148518 | + | 0.0665417i | ||||
\(961\) | −24.7208 | −0.797445 | ||||||||
\(962\) | −1.31062 | + | 2.27006i | −0.0422562 | + | 0.0731898i | ||||
\(963\) | 20.7999 | + | 9.77167i | 0.670267 | + | 0.314888i | ||||
\(964\) | −11.3062 | − | 19.5829i | −0.364148 | − | 0.630722i | ||||
\(965\) | 11.8040 | − | 20.4451i | 0.379984 | − | 0.658152i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.9810 | − | 22.4838i | −0.417442 | − | 0.723031i | 0.578239 | − | 0.815867i | \(-0.303740\pi\) |
−0.995681 | + | 0.0928360i | \(0.970407\pi\) | |||||||
\(968\) | 15.8427 | − | 27.4404i | 0.509204 | − | 0.881967i | ||||
\(969\) | 7.42950 | − | 2.33083i | 0.238670 | − | 0.0748772i | ||||
\(970\) | 2.58052 | + | 4.46959i | 0.0828554 | + | 0.143510i | ||||
\(971\) | 3.97206 | + | 6.87981i | 0.127469 | + | 0.220783i | 0.922696 | − | 0.385530i | \(-0.125981\pi\) |
−0.795226 | + | 0.606313i | \(0.792648\pi\) | |||||||
\(972\) | 1.22703 | − | 24.1411i | 0.0393572 | − | 0.774327i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −1.17424 | + | 2.03384i | −0.0376249 | + | 0.0651683i | ||||
\(975\) | 3.08631 | − | 13.8278i | 0.0988411 | − | 0.442845i | ||||
\(976\) | −0.113336 | −0.00362779 | ||||||||
\(977\) | −52.2548 | −1.67178 | −0.835889 | − | 0.548898i | \(-0.815048\pi\) | ||||
−0.835889 | + | 0.548898i | \(0.815048\pi\) | |||||||
\(978\) | 6.85853 | + | 6.30275i | 0.219312 | + | 0.201540i | ||||
\(979\) | 33.3464 | − | 57.7577i | 1.06576 | − | 1.84594i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.429654 | + | 5.07822i | 0.0137178 | + | 0.162135i | ||||
\(982\) | −13.7784 | − | 23.8650i | −0.439688 | − | 0.761562i | ||||
\(983\) | −19.4190 | − | 33.6346i | −0.619369 | − | 1.07278i | −0.989601 | − | 0.143839i | \(-0.954055\pi\) |
0.370232 | − | 0.928939i | \(-0.379278\pi\) | |||||||
\(984\) | −0.755120 | − | 0.693929i | −0.0240723 | − | 0.0221216i | ||||
\(985\) | −2.87652 | + | 4.98228i | −0.0916535 | + | 0.158749i | ||||
\(986\) | 2.55606 | + | 4.42722i | 0.0814015 | + | 0.140991i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.57501 | − | 14.8524i | 0.272807 | − | 0.472516i | ||||
\(989\) | −2.70914 | − | 4.69236i | −0.0861455 | − | 0.149208i | ||||
\(990\) | 11.5972 | − | 8.07113i | 0.368584 | − | 0.256517i | ||||
\(991\) | −15.4689 | + | 26.7929i | −0.491385 | + | 0.851104i | −0.999951 | − | 0.00991892i | \(-0.996843\pi\) |
0.508565 | + | 0.861023i | \(0.330176\pi\) | |||||||
\(992\) | −14.4578 | −0.459036 | ||||||||
\(993\) | 44.1679 | − | 13.8567i | 1.40163 | − | 0.439728i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.0122 | − | 31.1981i | −0.571025 | − | 0.989045i | ||||
\(996\) | 8.46687 | − | 37.9348i | 0.268283 | − | 1.20201i | ||||
\(997\) | 23.5335 | + | 40.7612i | 0.745313 | + | 1.29092i | 0.950048 | + | 0.312103i | \(0.101033\pi\) |
−0.204735 | + | 0.978817i | \(0.565633\pi\) | |||||||
\(998\) | −3.96492 | + | 6.86745i | −0.125507 | + | 0.217385i | ||||
\(999\) | −7.30902 | − | 0.994170i | −0.231247 | − | 0.0314542i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))