Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(100,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.g (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: | \(1.50917259820\) |
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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 172.4 | ||
Root | \(-0.335166 + 0.580525i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.172 |
Dual form | 189.2.g.b.100.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.335166 | − | 0.580525i | 0.236998 | − | 0.410493i | −0.722853 | − | 0.691002i | \(-0.757170\pi\) |
0.959852 | + | 0.280508i | \(0.0905031\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.775327 | + | 1.34291i | 0.387664 | + | 0.671453i | ||||
\(5\) | −1.42494 | −0.637251 | −0.318626 | − | 0.947881i | \(-0.603221\pi\) | ||||
−0.318626 | + | 0.947881i | \(0.603221\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.21529 | − | 1.44655i | 0.837299 | − | 0.546745i | ||||
\(8\) | 2.38012 | 0.841499 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.477591 | + | 0.827212i | −0.151028 | + | 0.261587i | ||||
\(11\) | 4.93077 | 1.48668 | 0.743342 | − | 0.668911i | \(-0.233239\pi\) | ||||
0.743342 | + | 0.668911i | \(0.233239\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.37730 | + | 2.38556i | −0.381995 | + | 0.661635i | −0.991347 | − | 0.131265i | \(-0.958096\pi\) |
0.609352 | + | 0.792900i | \(0.291429\pi\) | |||||||
\(14\) | −0.0972697 | − | 1.77086i | −0.0259964 | − | 0.473283i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.752918 | + | 1.30409i | −0.188230 | + | 0.326023i | ||||
\(17\) | −0.559839 | + | 0.969670i | −0.135781 | + | 0.235180i | −0.925896 | − | 0.377780i | \(-0.876688\pi\) |
0.790115 | + | 0.612959i | \(0.210021\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.00752 | − | 3.47713i | −0.460557 | − | 0.797709i | 0.538431 | − | 0.842669i | \(-0.319017\pi\) |
−0.998989 | + | 0.0449606i | \(0.985684\pi\) | |||||||
\(20\) | −1.10479 | − | 1.91356i | −0.247039 | − | 0.427884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.65263 | − | 2.86244i | 0.352342 | − | 0.610274i | ||||
\(23\) | −5.43661 | −1.13361 | −0.566806 | − | 0.823851i | \(-0.691821\pi\) | ||||
−0.566806 | + | 0.823851i | \(0.691821\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.96955 | −0.593911 | ||||||||
\(26\) | 0.923251 | + | 1.59912i | 0.181064 | + | 0.313613i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.66015 | + | 1.85337i | 0.691704 | + | 0.350254i | ||||
\(29\) | −3.40555 | − | 5.89858i | −0.632394 | − | 1.09534i | −0.987061 | − | 0.160346i | \(-0.948739\pi\) |
0.354667 | − | 0.934993i | \(-0.384594\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.25292 | − | 2.17012i | −0.225031 | − | 0.389765i | 0.731298 | − | 0.682058i | \(-0.238915\pi\) |
−0.956329 | + | 0.292294i | \(0.905582\pi\) | |||||||
\(32\) | 2.88483 | + | 4.99666i | 0.509970 | + | 0.883294i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.375279 | + | 0.650002i | 0.0643597 | + | 0.111474i | ||||
\(35\) | −3.15664 | + | 2.06124i | −0.533570 | + | 0.348414i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.709787 | + | 1.22939i | 0.116688 | + | 0.202110i | 0.918453 | − | 0.395529i | \(-0.129439\pi\) |
−0.801765 | + | 0.597639i | \(0.796106\pi\) | |||||||
\(38\) | −2.69142 | −0.436605 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.39152 | −0.536247 | ||||||||
\(41\) | −0.124384 | + | 0.215440i | −0.0194256 | + | 0.0336460i | −0.875575 | − | 0.483083i | \(-0.839517\pi\) |
0.856149 | + | 0.516729i | \(0.172850\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.498313 | − | 0.863104i | −0.0759921 | − | 0.131622i | 0.825525 | − | 0.564365i | \(-0.190879\pi\) |
−0.901517 | + | 0.432743i | \(0.857546\pi\) | |||||||
\(44\) | 3.82296 | + | 6.62156i | 0.576333 | + | 0.998238i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.82217 | + | 3.15609i | −0.268664 | + | 0.465340i | ||||
\(47\) | −4.73790 | + | 8.20628i | −0.691093 | + | 1.19701i | 0.280387 | + | 0.959887i | \(0.409537\pi\) |
−0.971480 | + | 0.237122i | \(0.923796\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.81498 | − | 6.40905i | 0.402140 | − | 0.915578i | ||||
\(50\) | −0.995294 | + | 1.72390i | −0.140756 | + | 0.243796i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.27144 | −0.592342 | ||||||||
\(53\) | 0.410229 | − | 0.710537i | 0.0563493 | − | 0.0975998i | −0.836475 | − | 0.548005i | \(-0.815387\pi\) |
0.892824 | + | 0.450406i | \(0.148721\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.02604 | −0.947392 | ||||||||
\(56\) | 5.27265 | − | 3.44296i | 0.704587 | − | 0.460085i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.56570 | −0.599506 | ||||||||
\(59\) | −3.29204 | − | 5.70197i | −0.428586 | − | 0.742334i | 0.568161 | − | 0.822917i | \(-0.307655\pi\) |
−0.996748 | + | 0.0805836i | \(0.974322\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0376322 | + | 0.0651809i | −0.00481831 | + | 0.00834556i | −0.868425 | − | 0.495821i | \(-0.834867\pi\) |
0.863606 | + | 0.504167i | \(0.168200\pi\) | |||||||
\(62\) | −1.67974 | −0.213328 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.855913 | 0.106989 | ||||||||
\(65\) | 1.96257 | − | 3.39927i | 0.243427 | − | 0.421628i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.29385 | + | 10.9013i | 0.768916 | + | 1.33180i | 0.938151 | + | 0.346226i | \(0.112537\pi\) |
−0.169235 | + | 0.985576i | \(0.554130\pi\) | |||||||
\(68\) | −1.73623 | −0.210549 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.138603 | + | 2.52337i | 0.0165663 | + | 0.301600i | ||||
\(71\) | −0.0804951 | −0.00955301 | −0.00477651 | − | 0.999989i | \(-0.501520\pi\) | ||||
−0.00477651 | + | 0.999989i | \(0.501520\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.34551 | − | 9.25869i | 0.625644 | − | 1.08365i | −0.362772 | − | 0.931878i | \(-0.618170\pi\) |
0.988416 | − | 0.151769i | \(-0.0484971\pi\) | |||||||
\(74\) | 0.951587 | 0.110620 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.11297 | − | 5.39183i | 0.357083 | − | 0.618485i | ||||
\(77\) | 10.9231 | − | 7.13261i | 1.24480 | − | 0.812837i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.922457 | − | 1.59774i | 0.103785 | − | 0.179760i | −0.809456 | − | 0.587180i | \(-0.800238\pi\) |
0.913241 | + | 0.407420i | \(0.133571\pi\) | |||||||
\(80\) | 1.07286 | − | 1.85825i | 0.119950 | − | 0.207759i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.0833788 | + | 0.144416i | 0.00920765 | + | 0.0159481i | ||||
\(83\) | 7.23583 | + | 12.5328i | 0.794236 | + | 1.37566i | 0.923323 | + | 0.384023i | \(0.125462\pi\) |
−0.129088 | + | 0.991633i | \(0.541205\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.797736 | − | 1.38172i | 0.0865266 | − | 0.149868i | ||||
\(86\) | −0.668072 | −0.0720400 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.7358 | 1.25104 | ||||||||
\(89\) | −6.76292 | − | 11.7137i | −0.716868 | − | 1.24165i | −0.962235 | − | 0.272222i | \(-0.912242\pi\) |
0.245366 | − | 0.969430i | \(-0.421092\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.399711 | + | 7.27703i | 0.0419011 | + | 0.762840i | ||||
\(92\) | −4.21515 | − | 7.30085i | −0.439460 | − | 0.761167i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.17597 | + | 5.50094i | 0.327576 | + | 0.567378i | ||||
\(95\) | 2.86059 | + | 4.95469i | 0.293491 | + | 0.508341i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.70160 | + | 4.67930i | 0.274306 | + | 0.475111i | 0.969960 | − | 0.243266i | \(-0.0782187\pi\) |
−0.695654 | + | 0.718377i | \(0.744885\pi\) | |||||||
\(98\) | −2.77712 | − | 3.78226i | −0.280532 | − | 0.382066i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.30238 | − | 3.98783i | −0.230238 | − | 0.398783i | ||||
\(101\) | 5.13540 | 0.510991 | 0.255496 | − | 0.966810i | \(-0.417761\pi\) | ||||
0.255496 | + | 0.966810i | \(0.417761\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.2112 | −1.40027 | −0.700137 | − | 0.714009i | \(-0.746878\pi\) | ||||
−0.700137 | + | 0.714009i | \(0.746878\pi\) | |||||||
\(104\) | −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 | 0.619333 | − | 0.785128i | \(-0.287403\pi\) |
−0.989608 | + | 0.143794i | \(0.954070\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.849394 | + | 1.47119i | −0.0813572 | + | 0.140915i | −0.903833 | − | 0.427885i | \(-0.859259\pi\) |
0.822476 | + | 0.568800i | \(0.192592\pi\) | |||||||
\(110\) | −2.35489 | + | 4.07880i | −0.224530 | + | 0.388898i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.218507 | + | 3.97807i | 0.0206469 | + | 0.375892i | ||||
\(113\) | 0.300351 | − | 0.520224i | 0.0282547 | − | 0.0489385i | −0.851552 | − | 0.524270i | \(-0.824338\pi\) |
0.879807 | + | 0.475331i | \(0.157672\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.74683 | 0.722395 | ||||||||
\(116\) | 5.28083 | − | 9.14666i | 0.490312 | − | 0.849246i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.41352 | −0.406297 | ||||||||
\(119\) | 0.162473 | + | 2.95793i | 0.0148939 | + | 0.271153i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.3125 | 1.21023 | ||||||||
\(122\) | 0.0252261 | + | 0.0436929i | 0.00228386 | + | 0.00395577i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.94284 | − | 3.36510i | 0.174472 | − | 0.302195i | ||||
\(125\) | 11.3561 | 1.01572 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.25977 | 0.644200 | 0.322100 | − | 0.946706i | \(-0.395611\pi\) | ||||
0.322100 | + | 0.946706i | \(0.395611\pi\) | |||||||
\(128\) | −5.48278 | + | 9.49645i | −0.484614 | + | 0.839375i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.31557 | − | 2.27864i | −0.115384 | − | 0.199850i | ||||
\(131\) | 20.4530 | 1.78698 | 0.893492 | − | 0.449079i | \(-0.148248\pi\) | ||||
0.893492 | + | 0.449079i | \(0.148248\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.47708 | − | 4.79886i | −0.821767 | − | 0.416114i | ||||
\(134\) | 8.43794 | 0.728927 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.33248 | + | 2.30793i | −0.114260 | + | 0.197903i | ||||
\(137\) | −12.2116 | −1.04331 | −0.521655 | − | 0.853157i | \(-0.674685\pi\) | ||||
−0.521655 | + | 0.853157i | \(0.674685\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.24092 | + | 2.14933i | −0.105253 | + | 0.182304i | −0.913842 | − | 0.406071i | \(-0.866899\pi\) |
0.808588 | + | 0.588375i | \(0.200232\pi\) | |||||||
\(140\) | −5.21549 | − | 2.64094i | −0.440789 | − | 0.223200i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0269793 | + | 0.0467294i | −0.00226405 | + | 0.00392145i | ||||
\(143\) | −6.79117 | + | 11.7626i | −0.567906 | + | 0.983642i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 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 | ||||
\(149\) | 8.55593 | 0.700929 | 0.350465 | − | 0.936576i | \(-0.386024\pi\) | ||||
0.350465 | + | 0.936576i | \(0.386024\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.6592 | −1.43709 | −0.718544 | − | 0.695482i | \(-0.755191\pi\) | ||||
−0.718544 | + | 0.695482i | \(0.755191\pi\) | |||||||
\(152\) | −4.77814 | − | 8.27599i | −0.387559 | − | 0.671271i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.479615 | − | 8.73173i | −0.0386485 | − | 0.703623i | ||||
\(155\) | 1.78533 | + | 3.09228i | 0.143401 | + | 0.248378i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.16074 | − | 5.47457i | −0.252255 | − | 0.436918i | 0.711891 | − | 0.702289i | \(-0.247839\pi\) |
−0.964146 | + | 0.265371i | \(0.914505\pi\) | |||||||
\(158\) | −0.618353 | − | 1.07102i | −0.0491936 | − | 0.0852057i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.11070 | − | 7.11993i | −0.324979 | − | 0.562880i | ||||
\(161\) | −12.0436 | + | 7.86433i | −0.949172 | + | 0.619796i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.01134 | − | 6.94784i | −0.314192 | − | 0.544197i | 0.665073 | − | 0.746778i | \(-0.268400\pi\) |
−0.979265 | + | 0.202581i | \(0.935067\pi\) | |||||||
\(164\) | −0.385754 | −0.0301223 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.70083 | 0.752930 | ||||||||
\(167\) | −1.06038 | + | 1.83663i | −0.0820545 | + | 0.142123i | −0.904132 | − | 0.427253i | \(-0.859482\pi\) |
0.822078 | + | 0.569375i | \(0.192815\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.70608 | + | 4.68706i | 0.208160 | + | 0.360543i | ||||
\(170\) | −0.534749 | − | 0.926212i | −0.0410133 | − | 0.0710372i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.772712 | − | 1.33838i | 0.0589187 | − | 0.102050i | ||||
\(173\) | −9.14404 | + | 15.8379i | −0.695208 | + | 1.20414i | 0.274902 | + | 0.961472i | \(0.411354\pi\) |
−0.970110 | + | 0.242664i | \(0.921979\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.57841 | + | 4.29561i | −0.497281 | + | 0.324718i | ||||
\(176\) | −3.71247 | + | 6.43018i | −0.279838 | + | 0.484693i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.06681 | −0.679586 | ||||||||
\(179\) | −3.81276 | + | 6.60389i | −0.284979 | + | 0.493598i | −0.972604 | − | 0.232468i | \(-0.925320\pi\) |
0.687625 | + | 0.726066i | \(0.258653\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.5305 | 1.15438 | 0.577188 | − | 0.816611i | \(-0.304150\pi\) | ||||
0.577188 | + | 0.816611i | \(0.304150\pi\) | |||||||
\(182\) | 4.35847 | + | 2.20697i | 0.323071 | + | 0.163592i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.9398 | −0.953933 | ||||||||
\(185\) | −1.01140 | − | 1.75180i | −0.0743597 | − | 0.128795i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.76044 | + | 4.78122i | −0.201863 | + | 0.349638i | ||||
\(188\) | −14.6937 | −1.07165 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.83510 | 0.278227 | ||||||||
\(191\) | 7.41624 | − | 12.8453i | 0.536620 | − | 0.929454i | −0.462463 | − | 0.886639i | \(-0.653034\pi\) |
0.999083 | − | 0.0428150i | \(-0.0136326\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.28387 | − | 14.3481i | −0.596286 | − | 1.03280i | −0.993364 | − | 0.115013i | \(-0.963309\pi\) |
0.397078 | − | 0.917785i | \(-0.370024\pi\) | |||||||
\(194\) | 3.62194 | 0.260040 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.7893 | − | 1.18885i | 0.770663 | − | 0.0849178i | ||||
\(197\) | 4.03740 | 0.287653 | 0.143826 | − | 0.989603i | \(-0.454059\pi\) | ||||
0.143826 | + | 0.989603i | \(0.454059\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.6407 | + | 21.8943i | −0.896076 | + | 1.55205i | −0.0636081 | + | 0.997975i | \(0.520261\pi\) |
−0.832468 | + | 0.554074i | \(0.813073\pi\) | |||||||
\(200\) | −7.06789 | −0.499775 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.72121 | − | 2.98123i | 0.121104 | − | 0.209758i | ||||
\(203\) | −16.0769 | − | 8.14075i | −1.12837 | − | 0.571368i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.177240 | − | 0.306988i | 0.0123790 | − | 0.0214410i | ||||
\(206\) | −4.76312 | + | 8.24997i | −0.331862 | + | 0.574803i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −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 | −0.965979 | − | 0.258619i | \(-0.916732\pi\) |
0.706961 | + | 0.707253i | \(0.250066\pi\) | |||||||
\(212\) | 1.27225 | 0.0873782 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.13495 | −0.351018 | ||||||||
\(215\) | 0.710065 | + | 1.22987i | 0.0484261 | + | 0.0838764i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.91476 | − | 2.99502i | −0.401520 | − | 0.203315i | ||||
\(218\) | 0.569377 | + | 0.986190i | 0.0385631 | + | 0.0667932i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.44748 | − | 9.43531i | −0.367269 | − | 0.636129i | ||||
\(221\) | −1.54214 | − | 2.67106i | −0.103735 | − | 0.179675i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.49230 | + | 11.2450i | 0.434757 | + | 0.753020i | 0.997276 | − | 0.0737638i | \(-0.0235011\pi\) |
−0.562519 | + | 0.826784i | \(0.690168\pi\) | |||||||
\(224\) | 13.6186 | + | 6.89599i | 0.909934 | + | 0.460758i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.201335 | − | 0.348723i | −0.0133926 | − | 0.0231967i | ||||
\(227\) | 28.9665 | 1.92257 | 0.961286 | − | 0.275551i | \(-0.0888603\pi\) | ||||
0.961286 | + | 0.275551i | \(0.0888603\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.4358 | 1.02003 | 0.510013 | − | 0.860167i | \(-0.329640\pi\) | ||||
0.510013 | + | 0.860167i | \(0.329640\pi\) | |||||||
\(230\) | 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 | 0.935596 | − | 0.353073i | \(-0.114863\pi\) |
−0.773568 | + | 0.633713i | \(0.781530\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.75121 | − | 11.6934i | 0.440400 | − | 0.762795i | ||||
\(236\) | 5.10481 | − | 8.84179i | 0.332295 | − | 0.575551i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.77161 | + | 0.897080i | 0.114836 | + | 0.0581491i | ||||
\(239\) | −6.51732 | + | 11.2883i | −0.421571 | + | 0.730182i | −0.996093 | − | 0.0883069i | \(-0.971854\pi\) |
0.574523 | + | 0.818489i | \(0.305188\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.5825 | 0.939339 | 0.469670 | − | 0.882842i | \(-0.344373\pi\) | ||||
0.469670 | + | 0.882842i | \(0.344373\pi\) | |||||||
\(242\) | 4.46191 | − | 7.72826i | 0.286823 | − | 0.496791i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.116709 | −0.00747154 | ||||||||
\(245\) | −4.01117 | + | 9.13249i | −0.256265 | + | 0.583453i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.0599 | 0.703722 | ||||||||
\(248\) | −2.98209 | − | 5.16514i | −0.189363 | − | 0.327987i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.80619 | − | 6.59251i | 0.240724 | − | 0.416947i | ||||
\(251\) | 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 | ||||||||
\(254\) | 2.43323 | − | 4.21448i | 0.152674 | − | 0.264440i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.53120 | + | 7.84826i | 0.283200 | + | 0.490517i | ||||
\(257\) | 8.36215 | 0.521617 | 0.260808 | − | 0.965391i | \(-0.416011\pi\) | ||||
0.260808 | + | 0.965391i | \(0.416011\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.35075 | + | 1.69670i | 0.208206 | + | 0.105428i | ||||
\(260\) | 6.08653 | 0.377471 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.85515 | − | 11.8735i | 0.423512 | − | 0.733545i | ||||
\(263\) | −3.27066 | −0.201678 | −0.100839 | − | 0.994903i | \(-0.532153\pi\) | ||||
−0.100839 | + | 0.994903i | \(0.532153\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.584551 | + | 1.01247i | −0.0359087 | + | 0.0621956i | ||||
\(266\) | −5.96226 | + | 3.89327i | −0.365569 | + | 0.238712i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.75958 | + | 16.9041i | −0.596161 | + | 1.03258i | ||||
\(269\) | 7.69349 | − | 13.3255i | 0.469081 | − | 0.812471i | −0.530295 | − | 0.847813i | \(-0.677919\pi\) |
0.999375 | + | 0.0353420i | \(0.0112521\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.06308 | + | 7.03747i | 0.246815 | + | 0.427496i | 0.962640 | − | 0.270783i | \(-0.0872827\pi\) |
−0.715825 | + | 0.698279i | \(0.753949\pi\) | |||||||
\(272\) | −0.843026 | − | 1.46016i | −0.0511160 | − | 0.0885355i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.09293 | + | 7.08915i | −0.247263 | + | 0.428271i | ||||
\(275\) | −14.6422 | −0.882958 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.8457 | 0.771826 | 0.385913 | − | 0.922535i | \(-0.373887\pi\) | ||||
0.385913 | + | 0.922535i | \(0.373887\pi\) | |||||||
\(278\) | 0.831826 | + | 1.44077i | 0.0498896 | + | 0.0864114i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.51319 | + | 4.90601i | −0.448999 | + | 0.293190i | ||||
\(281\) | 0.724081 | + | 1.25415i | 0.0431951 | + | 0.0748161i | 0.886815 | − | 0.462125i | \(-0.152913\pi\) |
−0.843620 | + | 0.536941i | \(0.819580\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.71926 | + | 15.1022i | 0.518306 | + | 0.897732i | 0.999774 | + | 0.0212686i | \(0.00677053\pi\) |
−0.481468 | + | 0.876464i | \(0.659896\pi\) | |||||||
\(284\) | −0.0624100 | − | 0.108097i | −0.00370335 | − | 0.00641440i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.55234 | + | 7.88489i | 0.269186 | + | 0.466243i | ||||
\(287\) | 0.0360979 | + | 0.657189i | 0.00213079 | + | 0.0387926i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.87316 | + | 13.6367i | 0.463127 | + | 0.802160i | ||||
\(290\) | 6.50584 | 0.382036 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 16.5781 | 0.970158 | ||||||||
\(293\) | 0.900048 | − | 1.55893i | 0.0525814 | − | 0.0910736i | −0.838537 | − | 0.544845i | \(-0.816588\pi\) |
0.891118 | + | 0.453772i | \(0.149922\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.69094 | + | 8.12495i | 0.273117 | + | 0.473053i | ||||
\(296\) | 1.68938 | + | 2.92609i | 0.0981931 | + | 0.170075i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.86766 | − | 4.96693i | 0.166119 | − | 0.287727i | ||||
\(299\) | 7.48786 | − | 12.9693i | 0.433034 | − | 0.750037i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.35243 | − | 1.19119i | −0.135592 | − | 0.0686589i | ||||
\(302\) | −5.91878 | + | 10.2516i | −0.340588 | + | 0.589915i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.04600 | 0.346762 | ||||||||
\(305\) | 0.0536236 | − | 0.0928787i | 0.00307048 | − | 0.00531822i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.06478 | 0.0607699 | 0.0303850 | − | 0.999538i | \(-0.490327\pi\) | ||||
0.0303850 | + | 0.999538i | \(0.490327\pi\) | |||||||
\(308\) | 18.0474 | + | 9.13855i | 1.02835 | + | 0.520717i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.39353 | 0.135943 | ||||||||
\(311\) | −8.46463 | − | 14.6612i | −0.479985 | − | 0.831359i | 0.519751 | − | 0.854318i | \(-0.326025\pi\) |
−0.999736 | + | 0.0229591i | \(0.992691\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.13928 | − | 7.16944i | 0.233966 | − | 0.405241i | −0.725006 | − | 0.688743i | \(-0.758163\pi\) |
0.958972 | + | 0.283502i | \(0.0914963\pi\) | |||||||
\(314\) | −4.23750 | −0.239136 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.86082 | 0.160934 | ||||||||
\(317\) | 3.27371 | − | 5.67023i | 0.183870 | − | 0.318472i | −0.759325 | − | 0.650711i | \(-0.774471\pi\) |
0.943195 | + | 0.332239i | \(0.107804\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.7920 | − | 29.0846i | −0.940171 | − | 1.62842i | ||||
\(320\) | −1.21962 | −0.0681790 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.528817 | + | 9.62750i | 0.0294698 | + | 0.536519i | ||||
\(323\) | 4.49556 | 0.250140 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.08997 | − | 7.08404i | 0.226871 | − | 0.392952i | ||||
\(326\) | −5.37786 | −0.297852 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.296049 | + | 0.512773i | −0.0163466 | + | 0.0283131i | ||||
\(329\) | 1.37500 | + | 25.0329i | 0.0758062 | + | 1.38011i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.3629 | − | 23.1453i | 0.734493 | − | 1.27218i | −0.220453 | − | 0.975398i | \(-0.570754\pi\) |
0.954946 | − | 0.296781i | \(-0.0959131\pi\) | |||||||
\(332\) | −11.2203 | + | 19.4341i | −0.615792 | + | 1.06658i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 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 | −0.966077 | − | 0.258255i | \(-0.916853\pi\) |
0.706694 | + | 0.707520i | \(0.250186\pi\) | |||||||
\(338\) | 3.62794 | 0.197334 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.47403 | 0.134173 | ||||||||
\(341\) | −6.17786 | − | 10.7004i | −0.334550 | − | 0.579457i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.03502 | − | 18.2699i | −0.163876 | − | 0.986481i | ||||
\(344\) | −1.18605 | − | 2.05429i | −0.0639473 | − | 0.110760i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.12955 | + | 10.6167i | 0.329526 | + | 0.570757i | ||||
\(347\) | −9.35156 | − | 16.1974i | −0.502018 | − | 0.869521i | −0.999997 | − | 0.00233189i | \(-0.999258\pi\) |
0.497979 | − | 0.867189i | \(-0.334076\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.0542 | − | 26.0747i | −0.805834 | − | 1.39574i | −0.915727 | − | 0.401801i | \(-0.868384\pi\) |
0.109893 | − | 0.993943i | \(-0.464949\pi\) | |||||||
\(350\) | 0.288848 | + | 5.25868i | 0.0154396 | + | 0.281088i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 14.2244 | + | 24.6374i | 0.758164 | + | 1.31318i | ||||
\(353\) | −6.25933 | −0.333150 | −0.166575 | − | 0.986029i | \(-0.553271\pi\) | ||||
−0.166575 | + | 0.986029i | \(0.553271\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.114700 | 0.00608767 | ||||||||
\(356\) | 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 | 0.968614 | − | 0.248571i | \(-0.0799608\pi\) |
−0.699575 | + | 0.714559i | \(0.746628\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.43970 | − | 2.49364i | 0.0757739 | − | 0.131244i | ||||
\(362\) | 5.20532 | − | 9.01587i | 0.273585 | − | 0.473864i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.46246 | + | 6.17885i | −0.495968 | + | 0.323860i | ||||
\(365\) | −7.61701 | + | 13.1931i | −0.398693 | + | 0.690556i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.6557 | −1.49581 | −0.747906 | − | 0.663804i | \(-0.768941\pi\) | ||||
−0.747906 | + | 0.663804i | \(0.768941\pi\) | |||||||
\(368\) | 4.09332 | − | 7.08984i | 0.213379 | − | 0.369584i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.35595 | −0.0704926 | ||||||||
\(371\) | −0.119054 | − | 2.16746i | −0.00618097 | − | 0.112529i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.0734 | −0.832249 | −0.416124 | − | 0.909308i | \(-0.636612\pi\) | ||||
−0.416124 | + | 0.909308i | \(0.636612\pi\) | |||||||
\(374\) | 1.85041 | + | 3.20501i | 0.0956826 | + | 0.165727i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −11.2768 | + | 19.5319i | −0.581555 | + | 1.00728i | ||||
\(377\) | 18.7619 | 0.966286 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.01893 | −0.0523388 | −0.0261694 | − | 0.999658i | \(-0.508331\pi\) | ||||
−0.0261694 | + | 0.999658i | \(0.508331\pi\) | |||||||
\(380\) | −4.43579 | + | 7.68302i | −0.227551 | + | 0.394130i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.97135 | − | 8.61063i | −0.254356 | − | 0.440558i | ||||
\(383\) | 11.5865 | 0.592044 | 0.296022 | − | 0.955181i | \(-0.404340\pi\) | ||||
0.296022 | + | 0.955181i | \(0.404340\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −15.5647 | + | 10.1635i | −0.793250 | + | 0.517981i | ||||
\(386\) | −11.1059 | −0.565275 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.18924 | + | 7.25598i | −0.212677 | + | 0.368367i | ||||
\(389\) | −17.8135 | −0.903181 | −0.451590 | − | 0.892225i | \(-0.649143\pi\) | ||||
−0.451590 | + | 0.892225i | \(0.649143\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.04363 | − | 5.27172i | 0.153923 | − | 0.266602i | ||||
\(392\) | 6.70000 | − | 15.2543i | 0.338401 | − | 0.770458i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.35320 | − | 2.34381i | 0.0681732 | − | 0.118079i | ||||
\(395\) | −1.31444 | + | 2.27668i | −0.0661369 | + | 0.114552i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.54229 | − | 11.3316i | −0.328348 | − | 0.568715i | 0.653836 | − | 0.756636i | \(-0.273159\pi\) |
−0.982184 | + | 0.187921i | \(0.939825\pi\) | |||||||
\(398\) | 8.47348 | + | 14.6765i | 0.424737 | + | 0.735666i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.23583 | − | 3.87257i | 0.111792 | − | 0.193629i | ||||
\(401\) | −14.1033 | −0.704285 | −0.352143 | − | 0.935946i | \(-0.614547\pi\) | ||||
−0.352143 | + | 0.935946i | \(0.614547\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.90259 | 0.343842 | ||||||||
\(404\) | 3.98161 | + | 6.89636i | 0.198093 | + | 0.343107i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.1143 | + | 6.60452i | −0.501966 | + | 0.327777i | ||||
\(407\) | 3.49980 | + | 6.06183i | 0.173479 | + | 0.300474i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.32300 | + | 2.29150i | 0.0654179 | + | 0.113307i | 0.896879 | − | 0.442275i | \(-0.145829\pi\) |
−0.831461 | + | 0.555583i | \(0.812495\pi\) | |||||||
\(410\) | −0.118810 | − | 0.205784i | −0.00586759 | − | 0.0101630i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.0183 | − | 19.0843i | −0.542835 | − | 0.940217i | ||||
\(413\) | −15.5410 | − | 7.86940i | −0.764722 | − | 0.387228i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.3106 | − | 17.8585i | −0.506128 | − | 0.876639i | ||||
\(416\) | −15.8931 | −0.779224 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −13.2708 | −0.649094 | ||||||||
\(419\) | −16.7567 | + | 29.0235i | −0.818619 | + | 1.41789i | 0.0880816 | + | 0.996113i | \(0.471926\pi\) |
−0.906700 | + | 0.421776i | \(0.861407\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.41950 | − | 4.19071i | −0.117919 | − | 0.204242i | 0.801024 | − | 0.598633i | \(-0.204289\pi\) |
−0.918943 | + | 0.394390i | \(0.870956\pi\) | |||||||
\(422\) | 2.52210 | + | 4.36841i | 0.122774 | + | 0.212651i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.976394 | − | 1.69116i | 0.0474179 | − | 0.0821302i | ||||
\(425\) | 1.66247 | − | 2.87949i | 0.0806418 | − | 0.139676i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.0109214 | + | 0.198831i | 0.000528522 | + | 0.00962212i | ||||
\(428\) | 5.93923 | − | 10.2871i | 0.287084 | − | 0.497244i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.951960 | 0.0459076 | ||||||||
\(431\) | −17.6643 | + | 30.5954i | −0.850858 | + | 1.47373i | 0.0295774 | + | 0.999562i | \(0.490584\pi\) |
−0.880435 | + | 0.474166i | \(0.842749\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.47404 | 0.263066 | 0.131533 | − | 0.991312i | \(-0.458010\pi\) | ||||
0.131533 | + | 0.991312i | \(0.458010\pi\) | |||||||
\(434\) | −3.72111 | + | 2.42983i | −0.178619 | + | 0.116636i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.63423 | −0.126157 | ||||||||
\(437\) | 10.9141 | + | 18.9038i | 0.522093 | + | 0.904292i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.19906 | + | 5.54093i | −0.152683 | + | 0.264454i | −0.932213 | − | 0.361911i | \(-0.882125\pi\) |
0.779530 | + | 0.626365i | \(0.215458\pi\) | |||||||
\(440\) | −16.7228 | −0.797229 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.06749 | −0.0983404 | ||||||||
\(443\) | −3.19341 | + | 5.53115i | −0.151723 | + | 0.262793i | −0.931861 | − | 0.362815i | \(-0.881816\pi\) |
0.780138 | + | 0.625608i | \(0.215149\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.63674 | + | 16.6913i | 0.456825 | + | 0.791245i | ||||
\(446\) | 8.70400 | 0.412146 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.89609 | − | 1.23812i | 0.0895819 | − | 0.0584957i | ||||
\(449\) | 11.7460 | 0.554327 | 0.277163 | − | 0.960823i | \(-0.410606\pi\) | ||||
0.277163 | + | 0.960823i | \(0.410606\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.613311 | + | 1.06229i | −0.0288797 | + | 0.0500210i | ||||
\(452\) | 0.931482 | 0.0438132 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.70859 | − | 16.8158i | 0.455647 | − | 0.789203i | ||||
\(455\) | −0.569564 | − | 10.3693i | −0.0267016 | − | 0.486121i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.26120 | + | 9.11266i | −0.246108 | + | 0.426272i | −0.962443 | − | 0.271485i | \(-0.912485\pi\) |
0.716334 | + | 0.697757i | \(0.245819\pi\) | |||||||
\(458\) | 5.17356 | − | 8.96087i | 0.241745 | − | 0.418714i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.00633 | + | 10.4033i | 0.280046 | + | 0.485055i | ||||
\(461\) | 3.54278 | + | 6.13627i | 0.165004 | + | 0.285794i | 0.936657 | − | 0.350249i | \(-0.113903\pi\) |
−0.771653 | + | 0.636044i | \(0.780570\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.3760 | − | 28.3641i | 0.761059 | − | 1.31819i | −0.181246 | − | 0.983438i | \(-0.558013\pi\) |
0.942305 | − | 0.334755i | \(-0.108654\pi\) | |||||||
\(464\) | 10.2564 | 0.476141 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.31579 | 0.153601 | ||||||||
\(467\) | −1.96216 | − | 3.39856i | −0.0907978 | − | 0.157266i | 0.817049 | − | 0.576568i | \(-0.195608\pi\) |
−0.907847 | + | 0.419301i | \(0.862275\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 29.7119 | + | 15.0450i | 1.37197 | + | 0.694716i | ||||
\(470\) | −4.52555 | − | 7.83849i | −0.208748 | − | 0.361563i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.83544 | − | 13.5714i | −0.360655 | − | 0.624673i | ||||
\(473\) | −2.45707 | − | 4.25577i | −0.112976 | − | 0.195681i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.96145 | + | 10.3255i | 0.273530 | + | 0.473768i | ||||
\(476\) | −3.84626 | + | 2.51155i | −0.176293 | + | 0.115117i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.36878 | + | 7.56694i | 0.199823 | + | 0.346104i | ||||
\(479\) | −16.0865 | −0.735010 | −0.367505 | − | 0.930022i | \(-0.619788\pi\) | ||||
−0.367505 | + | 0.930022i | \(0.619788\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.91036 | −0.178297 | ||||||||
\(482\) | 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 | 0 | ||||||||
\(487\) | −1.75172 | + | 3.03407i | −0.0793781 | + | 0.137487i | −0.902982 | − | 0.429679i | \(-0.858627\pi\) |
0.823604 | + | 0.567166i | \(0.191960\pi\) | |||||||
\(488\) | −0.0895692 | + | 0.155138i | −0.00405461 | + | 0.00702279i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.95723 | + | 5.38949i | 0.178769 | + | 0.243472i | ||||
\(491\) | 20.5546 | − | 35.6017i | 0.927618 | − | 1.60668i | 0.140321 | − | 0.990106i | \(-0.455186\pi\) |
0.787296 | − | 0.616575i | \(-0.211480\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.62624 | 0.343468 | ||||||||
\(494\) | 3.70689 | − | 6.42053i | 0.166781 | − | 0.288873i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.77338 | 0.169430 | ||||||||
\(497\) | −0.178320 | + | 0.116440i | −0.00799873 | + | 0.00522306i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.8297 | 0.529571 | 0.264785 | − | 0.964307i | \(-0.414699\pi\) | ||||
0.264785 | + | 0.964307i | \(0.414699\pi\) | |||||||
\(500\) | 8.80470 | + | 15.2502i | 0.393758 | + | 0.682009i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.71631 | − | 8.16888i | 0.210499 | − | 0.364595i | ||||
\(503\) | −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 | ||||||||
\(506\) | −8.98470 | + | 15.5620i | −0.399419 | + | 0.691813i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.62869 | + | 9.74918i | 0.249733 | + | 0.432550i | ||||
\(509\) | −16.8966 | −0.748930 | −0.374465 | − | 0.927241i | \(-0.622174\pi\) | ||||
−0.374465 | + | 0.927241i | \(0.622174\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.55134 | − | 28.2432i | −0.0686271 | − | 1.24941i | ||||
\(512\) | −15.8563 | −0.700756 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.80271 | − | 4.85444i | 0.123622 | − | 0.214120i | ||||
\(515\) | 20.2501 | 0.892326 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −23.3615 | + | 40.4633i | −1.02744 | + | 1.77957i | ||||
\(518\) | 2.10804 | − | 1.37652i | 0.0926218 | − | 0.0604807i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.67115 | − | 8.09067i | 0.204843 | − | 0.354799i | ||||
\(521\) | 17.2466 | − | 29.8720i | 0.755587 | − | 1.30872i | −0.189495 | − | 0.981882i | \(-0.560685\pi\) |
0.945082 | − | 0.326834i | \(-0.105982\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.995615 | + | 1.72445i | 0.0435352 | + | 0.0754051i | 0.886972 | − | 0.461823i | \(-0.152805\pi\) |
−0.843437 | + | 0.537229i | \(0.819471\pi\) | |||||||
\(524\) | 15.8577 | + | 27.4664i | 0.692749 | + | 1.19988i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.09622 | + | 1.89870i | −0.0477972 | + | 0.0827873i | ||||
\(527\) | 2.80573 | 0.122220 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.55673 | 0.285075 | ||||||||
\(530\) | 0.391843 | + | 0.678693i | 0.0170206 | + | 0.0294805i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.903426 | − | 16.4475i | −0.0391685 | − | 0.713090i | ||||
\(533\) | −0.342629 | − | 0.593452i | −0.0148409 | − | 0.0257052i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.45772 | + | 9.45305i | 0.235958 | + | 0.408691i | ||||
\(536\) | 14.9801 | + | 25.9463i | 0.647042 | + | 1.12071i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.15720 | − | 8.93253i | −0.222343 | − | 0.385109i | ||||
\(539\) | 13.8800 | − | 31.6016i | 0.597856 | − | 1.36118i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.0681 | − | 26.0988i | −0.647830 | − | 1.12207i | −0.983640 | − | 0.180145i | \(-0.942343\pi\) |
0.335810 | − | 0.941930i | \(-0.390990\pi\) | |||||||
\(542\) | 5.44724 | 0.233979 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.46015 | −0.276977 | ||||||||
\(545\) | 1.21033 | − | 2.09636i | 0.0518450 | − | 0.0897982i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.68070 | + | 13.3034i | 0.328403 | + | 0.568810i | 0.982195 | − | 0.187864i | \(-0.0601563\pi\) |
−0.653792 | + | 0.756674i | \(0.726823\pi\) | |||||||
\(548\) | −9.46800 | − | 16.3991i | −0.404453 | − | 0.700533i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.90757 | + | 8.50016i | −0.209260 | + | 0.362448i | ||||
\(551\) | −13.6734 | + | 23.6831i | −0.582508 | + | 1.00893i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.267709 | − | 4.87384i | −0.0113842 | − | 0.207257i | ||||
\(554\) | 4.30546 | − | 7.45728i | 0.182921 | − | 0.316829i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.84846 | −0.163211 | ||||||||
\(557\) | 11.6412 | − | 20.1631i | 0.493252 | − | 0.854338i | −0.506718 | − | 0.862112i | \(-0.669141\pi\) |
0.999970 | + | 0.00777438i | \(0.00247469\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.74531 | 0.116114 | ||||||||
\(560\) | −0.311358 | − | 5.66850i | −0.0131573 | − | 0.239538i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.970751 | 0.0409487 | ||||||||
\(563\) | 2.27942 | + | 3.94808i | 0.0960663 | + | 0.166392i | 0.910053 | − | 0.414492i | \(-0.136041\pi\) |
−0.813987 | + | 0.580883i | \(0.802707\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.427982 | + | 0.741286i | −0.0180053 | + | 0.0311861i | ||||
\(566\) | 11.6896 | 0.491351 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.191588 | −0.00803885 | ||||||||
\(569\) | 9.09976 | − | 15.7612i | 0.381482 | − | 0.660746i | −0.609793 | − | 0.792561i | \(-0.708747\pi\) |
0.991274 | + | 0.131815i | \(0.0420806\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.52275 | + | 14.7618i | 0.356666 | + | 0.617763i | 0.987402 | − | 0.158234i | \(-0.0505801\pi\) |
−0.630736 | + | 0.775998i | \(0.717247\pi\) | |||||||
\(572\) | −21.0615 | −0.880625 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.393614 | + | 0.199312i | 0.0164291 | + | 0.00831912i | ||||
\(575\) | 16.1443 | 0.673264 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.70473 | + | 9.88088i | −0.237491 | + | 0.411346i | −0.959994 | − | 0.280022i | \(-0.909658\pi\) |
0.722503 | + | 0.691368i | \(0.242992\pi\) | |||||||
\(578\) | 10.5553 | 0.439041 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.52485 | + | 13.0334i | −0.312452 | + | 0.541183i | ||||
\(581\) | 34.1588 | + | 17.2968i | 1.41715 | + | 0.717592i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.02275 | − | 3.50350i | 0.0837736 | − | 0.145100i | ||||
\(584\) | 12.7229 | − | 22.0368i | 0.526479 | − | 0.911889i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.603332 | − | 1.04500i | −0.0249234 | − | 0.0431686i | ||||
\(587\) | −2.52544 | − | 4.37420i | −0.104236 | − | 0.180543i | 0.809190 | − | 0.587548i | \(-0.199906\pi\) |
−0.913426 | + | 0.407005i | \(0.866573\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.03052 | + | 8.71312i | −0.207279 | + | 0.359018i | ||||
\(590\) | 6.28899 | 0.258913 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.13765 | −0.0878567 | ||||||||
\(593\) | 9.98892 | + | 17.3013i | 0.410196 | + | 0.710480i | 0.994911 | − | 0.100759i | \(-0.0321271\pi\) |
−0.584715 | + | 0.811239i | \(0.698794\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.231513 | − | 4.21487i | −0.00949113 | − | 0.172793i | ||||
\(596\) | 6.63365 | + | 11.4898i | 0.271725 | + | 0.470641i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.01935 | − | 8.69378i | −0.205257 | − | 0.355515i | ||||
\(599\) | 2.19660 | + | 3.80463i | 0.0897508 | + | 0.155453i | 0.907406 | − | 0.420256i | \(-0.138060\pi\) |
−0.817655 | + | 0.575709i | \(0.804726\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.1778 | + | 21.0926i | 0.496743 | + | 0.860385i | 0.999993 | − | 0.00375637i | \(-0.00119569\pi\) |
−0.503250 | + | 0.864141i | \(0.667862\pi\) | |||||||
\(602\) | −1.47997 | + | 0.966399i | −0.0603191 | + | 0.0393875i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13.6917 | − | 23.7147i | −0.557107 | − | 0.964937i | ||||
\(605\) | −18.9695 | −0.771221 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.1256 | 0.532752 | 0.266376 | − | 0.963869i | \(-0.414174\pi\) | ||||
0.266376 | + | 0.963869i | \(0.414174\pi\) | |||||||
\(608\) | 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 | 0 | ||||||||
\(613\) | −23.2403 | + | 40.2534i | −0.938667 | + | 1.62582i | −0.170707 | + | 0.985322i | \(0.554605\pi\) |
−0.767960 | + | 0.640497i | \(0.778728\pi\) | |||||||
\(614\) | 0.356877 | − | 0.618129i | 0.0144024 | − | 0.0249456i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 25.9982 | − | 16.9765i | 1.04750 | − | 0.684002i | ||||
\(617\) | −14.1948 | + | 24.5862i | −0.571463 | + | 0.989803i | 0.424953 | + | 0.905215i | \(0.360291\pi\) |
−0.996416 | + | 0.0845873i | \(0.973043\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.9212 | 1.28302 | 0.641511 | − | 0.767114i | \(-0.278308\pi\) | ||||
0.641511 | + | 0.767114i | \(0.278308\pi\) | |||||||
\(620\) | −2.76843 | + | 4.79506i | −0.111183 | + | 0.192574i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.3482 | −0.455023 | ||||||||
\(623\) | −31.9263 | − | 16.1663i | −1.27910 | − | 0.647691i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.33399 | −0.0533594 | ||||||||
\(626\) | −2.77469 | − | 4.80591i | −0.110899 | − | 0.192083i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.90122 | − | 8.48916i | 0.195580 | − | 0.338754i | ||||
\(629\) | −1.58947 | −0.0633762 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.7184 | 1.54135 | 0.770677 | − | 0.637226i | \(-0.219918\pi\) | ||||
0.770677 | + | 0.637226i | \(0.219918\pi\) | |||||||
\(632\) | 2.19556 | − | 3.80282i | 0.0873346 | − | 0.151268i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.19447 | − | 3.80094i | −0.0871537 | − | 0.150955i | ||||
\(635\) | −10.3447 | −0.410517 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.4121 | + | 15.5425i | 0.452163 | + | 0.615816i | ||||
\(638\) | −22.5124 | −0.891276 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.81261 | − | 13.5318i | 0.308821 | − | 0.534893i | ||||
\(641\) | 40.4001 | 1.59571 | 0.797854 | − | 0.602851i | \(-0.205968\pi\) | ||||
0.797854 | + | 0.602851i | \(0.205968\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.27355 | − | 10.8661i | 0.247405 | − | 0.428517i | −0.715400 | − | 0.698715i | \(-0.753756\pi\) |
0.962805 | + | 0.270198i | \(0.0870890\pi\) | |||||||
\(644\) | −19.8988 | − | 10.0761i | −0.784123 | − | 0.397052i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.50676 | − | 2.60979i | 0.0592827 | − | 0.102681i | ||||
\(647\) | −17.2774 | + | 29.9253i | −0.679245 | + | 1.17649i | 0.295964 | + | 0.955199i | \(0.404359\pi\) |
−0.975209 | + | 0.221287i | \(0.928974\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −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 | ||||
\(653\) | 22.2944 | 0.872446 | 0.436223 | − | 0.899839i | \(-0.356316\pi\) | ||||
0.436223 | + | 0.899839i | \(0.356316\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −29.1442 | −1.13876 | ||||||||
\(656\) | −0.187302 | − | 0.324417i | −0.00731293 | − | 0.0126664i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 14.9931 | + | 7.59195i | 0.584490 | + | 0.295965i | ||||
\(659\) | −3.57493 | − | 6.19196i | −0.139259 | − | 0.241204i | 0.787957 | − | 0.615730i | \(-0.211139\pi\) |
−0.927217 | + | 0.374526i | \(0.877806\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.4530 | − | 37.1577i | −0.834425 | − | 1.44527i | −0.894498 | − | 0.447072i | \(-0.852467\pi\) |
0.0600736 | − | 0.998194i | \(-0.480866\pi\) | |||||||
\(662\) | −8.95760 | − | 15.5150i | −0.348147 | − | 0.603008i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 17.2221 | + | 29.8296i | 0.668349 | + | 1.15761i | ||||
\(665\) | 13.5043 | + | 6.83807i | 0.523672 | + | 0.265169i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.5146 | + | 32.0683i | 0.716889 | + | 1.24169i | ||||
\(668\) | −3.28856 | −0.127238 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −12.0235 | −0.464510 | ||||||||
\(671\) | −0.185556 | + | 0.321392i | −0.00716331 | + | 0.0124072i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.8270 | − | 32.6094i | −0.725729 | − | 1.25700i | −0.958673 | − | 0.284510i | \(-0.908169\pi\) |
0.232944 | − | 0.972490i | \(-0.425164\pi\) | |||||||
\(674\) | 3.19188 | + | 5.52850i | 0.122947 | + | 0.212950i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.19619 | + | 7.26801i | −0.161392 | + | 0.279539i | ||||
\(677\) | −13.1808 | + | 22.8298i | −0.506580 | + | 0.877422i | 0.493391 | + | 0.869808i | \(0.335757\pi\) |
−0.999971 | + | 0.00761453i | \(0.997576\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.7537 | + | 6.45800i | 0.489440 | + | 0.247835i | ||||
\(680\) | 1.89871 | − | 3.28866i | 0.0728121 | − | 0.126114i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.28244 | −0.317151 | ||||||||
\(683\) | −1.96588 | + | 3.40500i | −0.0752222 | + | 0.130289i | −0.901183 | − | 0.433439i | \(-0.857300\pi\) |
0.825961 | + | 0.563728i | \(0.190633\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.4008 | 0.664850 | ||||||||
\(686\) | −11.6234 | − | 4.36155i | −0.443782 | − | 0.166525i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.50076 | 0.0572158 | ||||||||
\(689\) | 1.13002 | + | 1.95725i | 0.0430503 | + | 0.0745653i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.95052 | + | 17.2348i | −0.378536 | + | 0.655643i | −0.990849 | − | 0.134972i | \(-0.956906\pi\) |
0.612314 | + | 0.790615i | \(0.290239\pi\) | |||||||
\(692\) | −28.3585 | −1.07803 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.5373 | −0.475910 | ||||||||
\(695\) | 1.76823 | − | 3.06266i | 0.0670727 | − | 0.116173i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.139270 | − | 0.241223i | −0.00527524 | − | 0.00913699i | ||||
\(698\) | −20.1827 | −0.763925 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.8690 | − | 5.50368i | −0.410810 | − | 0.208020i | ||||
\(701\) | −43.7908 | −1.65396 | −0.826979 | − | 0.562234i | \(-0.809942\pi\) | ||||
−0.826979 | + | 0.562234i | \(0.809942\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.84983 | − | 4.93604i | 0.107483 | − | 0.186166i | ||||
\(704\) | 4.22031 | 0.159059 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.09792 | + | 3.63370i | −0.0789561 | + | 0.136756i | ||||
\(707\) | 11.3764 | − | 7.42861i | 0.427853 | − | 0.279382i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.3172 | + | 38.6545i | −0.838139 | + | 1.45170i | 0.0533097 | + | 0.998578i | \(0.483023\pi\) |
−0.891449 | + | 0.453121i | \(0.850310\pi\) | |||||||
\(710\) | 0.0384437 | − | 0.0665865i | 0.00144277 | − | 0.00249895i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −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 | ||||
\(716\) | −11.8245 | −0.441904 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.83411 | 0.255047 | ||||||||
\(719\) | 19.5096 | + | 33.7917i | 0.727586 | + | 1.26022i | 0.957901 | + | 0.287100i | \(0.0926912\pi\) |
−0.230315 | + | 0.973116i | \(0.573976\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −31.4819 | + | 20.5572i | −1.17245 | + | 0.765592i | ||||
\(722\) | −0.965081 | − | 1.67157i | −0.0359166 | − | 0.0622094i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 12.0413 | + | 20.8561i | 0.447510 | + | 0.775109i | ||||
\(725\) | 10.1130 | + | 17.5162i | 0.375586 | + | 0.650534i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.2554 | − | 19.4949i | −0.417439 | − | 0.723025i | 0.578242 | − | 0.815865i | \(-0.303739\pi\) |
−0.995681 | + | 0.0928402i | \(0.970405\pi\) | |||||||
\(728\) | 0.951361 | + | 17.3202i | 0.0352598 | + | 0.641929i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.10593 | + | 8.84373i | 0.188979 | + | 0.327321i | ||||
\(731\) | 1.11590 | 0.0412731 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.897039 | −0.0331329 | −0.0165664 | − | 0.999863i | \(-0.505274\pi\) | ||||
−0.0165664 | + | 0.999863i | \(0.505274\pi\) | |||||||
\(734\) | −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 | 0 | ||||||||
\(739\) | 1.79032 | − | 3.10092i | 0.0658578 | − | 0.114069i | −0.831216 | − | 0.555949i | \(-0.812355\pi\) |
0.897074 | + | 0.441880i | \(0.145688\pi\) | |||||||
\(740\) | 1.56833 | − | 2.71643i | 0.0576531 | − | 0.0998581i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.29817 | − | 0.657346i | −0.0476572 | − | 0.0241319i | ||||
\(743\) | 24.7964 | − | 42.9486i | 0.909691 | − | 1.57563i | 0.0951977 | − | 0.995458i | \(-0.469652\pi\) |
0.814493 | − | 0.580173i | \(-0.197015\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.1917 | −0.446668 | ||||||||
\(746\) | −5.38726 | + | 9.33101i | −0.197242 | + | 0.341633i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.56098 | −0.313020 | ||||||||
\(749\) | −18.0813 | − | 9.15573i | −0.660676 | − | 0.334543i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −42.9030 | −1.56555 | −0.782776 | − | 0.622304i | \(-0.786197\pi\) | ||||
−0.782776 | + | 0.622304i | \(0.786197\pi\) | |||||||
\(752\) | −7.13450 | − | 12.3573i | −0.260168 | − | 0.450625i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.28835 | − | 10.8917i | 0.229008 | − | 0.396654i | ||||
\(755\) | 25.1633 | 0.915786 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.8029 | 0.501677 | 0.250838 | − | 0.968029i | \(-0.419294\pi\) | ||||
0.250838 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(758\) | −0.341510 | + | 0.591513i | −0.0124042 | + | 0.0214847i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.80856 | + | 11.7928i | 0.246972 | + | 0.427769i | ||||
\(761\) | −40.7197 | −1.47609 | −0.738044 | − | 0.674752i | \(-0.764251\pi\) | ||||
−0.738044 | + | 0.674752i | \(0.764251\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.246505 | + | 4.48781i | 0.00892410 | + | 0.162470i | ||||
\(764\) | 23.0001 | 0.832113 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.88342 | − | 6.72627i | 0.140313 | − | 0.243030i | ||||
\(767\) | 18.1365 | 0.654871 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.57381 | − | 9.65413i | 0.200997 | − | 0.348137i | −0.747853 | − | 0.663864i | \(-0.768915\pi\) |
0.948850 | + | 0.315728i | \(0.102249\pi\) | |||||||
\(770\) | 0.683421 | + | 12.4422i | 0.0246288 | + | 0.448385i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 12.8454 | − | 22.2489i | 0.462317 | − | 0.800756i | ||||
\(773\) | 0.462831 | − | 0.801647i | 0.0166469 | − | 0.0288332i | −0.857582 | − | 0.514347i | \(-0.828034\pi\) |
0.874229 | + | 0.485514i | \(0.161368\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 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 | ||||
\(779\) | 0.998817 | 0.0357863 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.396903 | −0.0142023 | ||||||||
\(782\) | −2.04024 | − | 3.53381i | −0.0729590 | − | 0.126369i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.23854 | + | 8.49648i | 0.222805 | + | 0.303446i | ||||
\(785\) | 4.50386 | + | 7.80092i | 0.160750 | + | 0.278427i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.5120 | − | 19.9393i | −0.410358 | − | 0.710761i | 0.584571 | − | 0.811343i | \(-0.301263\pi\) |
−0.994929 | + | 0.100582i | \(0.967930\pi\) | |||||||
\(788\) | 3.13030 | + | 5.42184i | 0.111512 | + | 0.193145i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.881115 | + | 1.52614i | 0.0313487 | + | 0.0542975i | ||||
\(791\) | −0.0871659 | − | 1.58692i | −0.00309926 | − | 0.0564243i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.103662 | − | 0.179548i | −0.00368114 | − | 0.00637593i | ||||
\(794\) | −8.77102 | −0.311272 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −39.2027 | −1.38950 | ||||||||
\(797\) | −11.3925 | + | 19.7325i | −0.403544 | + | 0.698960i | −0.994151 | − | 0.108000i | \(-0.965555\pi\) |
0.590606 | + | 0.806960i | \(0.298889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.30492 | − | 9.18839i | −0.187675 | − | 0.325062i | ||||
\(800\) | −8.56664 | − | 14.8379i | −0.302877 | − | 0.524598i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.72695 | + | 8.18732i | −0.166914 | + | 0.289104i | ||||
\(803\) | 26.3575 | − | 45.6525i | 0.930135 | − | 1.61104i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.1614 | − | 11.2062i | 0.604861 | − | 0.394966i | ||||
\(806\) | 2.31352 | − | 4.00713i | 0.0814901 | − | 0.141145i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.2229 | 0.429999 | ||||||||
\(809\) | −6.73753 | + | 11.6697i | −0.236879 | + | 0.410286i | −0.959817 | − | 0.280627i | \(-0.909458\pi\) |
0.722938 | + | 0.690913i | \(0.242791\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.7348 | −1.07924 | −0.539622 | − | 0.841907i | \(-0.681433\pi\) | ||||
−0.539622 | + | 0.841907i | \(0.681433\pi\) | |||||||
\(812\) | −1.53257 | − | 27.9014i | −0.0537825 | − | 0.979149i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.69206 | 0.164457 | ||||||||
\(815\) | 5.71590 | + | 9.90023i | 0.200219 | + | 0.346790i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.00075 | + | 3.46540i | −0.0699974 | + | 0.121239i | ||||
\(818\) | 1.77369 | 0.0620158 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.549675 | 0.0191955 | ||||||||
\(821\) | −8.49319 | + | 14.7106i | −0.296414 | + | 0.513405i | −0.975313 | − | 0.220827i | \(-0.929124\pi\) |
0.678899 | + | 0.734232i | \(0.262458\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.29157 | + | 16.0935i | 0.323884 | + | 0.560983i | 0.981286 | − | 0.192557i | \(-0.0616780\pi\) |
−0.657402 | + | 0.753540i | \(0.728345\pi\) | |||||||
\(824\) | −33.8244 | −1.17833 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.77720 | + | 6.38438i | −0.340192 | + | 0.222141i | ||||
\(827\) | −14.5419 | −0.505670 | −0.252835 | − | 0.967509i | \(-0.581363\pi\) | ||||
−0.252835 | + | 0.967509i | \(0.581363\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.78717 | − | 8.29161i | 0.166265 | − | 0.287980i | −0.770839 | − | 0.637030i | \(-0.780163\pi\) |
0.937104 | + | 0.349051i | \(0.113496\pi\) | |||||||
\(830\) | −13.8231 | −0.479806 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.17885 | + | 2.04183i | −0.0408693 | + | 0.0707877i | ||||
\(833\) | 4.63872 | + | 6.31764i | 0.160722 | + | 0.218893i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.51097 | − | 2.61708i | 0.0522894 | − | 0.0905678i | ||||
\(836\) | 15.3494 | − | 26.5859i | 0.530869 | − | 0.919492i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.2326 | + | 19.4554i | 0.388023 | + | 0.672075i | ||||
\(839\) | −21.2303 | − | 36.7720i | −0.732952 | − | 1.26951i | −0.955616 | − | 0.294615i | \(-0.904809\pi\) |
0.222664 | − | 0.974895i | \(-0.428525\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69551 | + | 15.0611i | −0.299845 | + | 0.519347i | ||||
\(842\) | −3.24375 | −0.111787 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.6686 | −0.401648 | ||||||||
\(845\) | −3.85599 | − | 6.67877i | −0.132650 | − | 0.229757i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 29.4911 | − | 19.2572i | 1.01332 | − | 0.661687i | ||||
\(848\) | 0.617738 | + | 1.06995i | 0.0212132 | + | 0.0367423i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.11441 | − | 1.93021i | −0.0382239 | − | 0.0662058i | ||||
\(851\) | −3.85883 | − | 6.68370i | −0.132279 | − | 0.229114i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.14039 | + | 12.3675i | 0.244482 | + | 0.423456i | 0.961986 | − | 0.273099i | \(-0.0880486\pi\) |
−0.717504 | + | 0.696555i | \(0.754715\pi\) | |||||||
\(854\) | 0.119087 | + | 0.0603014i | 0.00407507 | + | 0.00206347i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.11621 | − | 15.7897i | −0.311586 | − | 0.539682i | ||||
\(857\) | −34.7790 | −1.18803 | −0.594013 | − | 0.804455i | \(-0.702457\pi\) | ||||
−0.594013 | + | 0.804455i | \(0.702457\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.6486 | −0.431564 | −0.215782 | − | 0.976442i | \(-0.569230\pi\) | ||||
−0.215782 | + | 0.976442i | \(0.569230\pi\) | |||||||
\(860\) | −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 | 0.547739 | − | 0.836649i | \(-0.315489\pi\) |
−0.998429 | + | 0.0560318i | \(0.982155\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.0297 | − | 22.5681i | 0.443022 | − | 0.767337i | ||||
\(866\) | 1.83471 | − | 3.17782i | 0.0623461 | − | 0.107987i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.563839 | − | 10.2651i | −0.0191379 | − | 0.348420i | ||||
\(869\) | 4.54843 | − | 7.87811i | 0.154295 | − | 0.267247i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −34.6741 | −1.17489 | ||||||||
\(872\) | −2.02166 | + | 3.50162i | −0.0684621 | + | 0.118580i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14.6322 | 0.494941 | ||||||||
\(875\) | 25.1570 | − | 16.4272i | 0.850463 | − | 0.555341i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.4534 | 0.960805 | 0.480402 | − | 0.877048i | \(-0.340491\pi\) | ||||
0.480402 | + | 0.877048i | \(0.340491\pi\) | |||||||
\(878\) | 2.14443 | + | 3.71427i | 0.0723711 | + | 0.125350i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.29004 | − | 9.16261i | 0.178327 | − | 0.308872i | ||||
\(881\) | 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 | \(0.189608\pi\) | |||||||
\(884\) | 2.39132 | − | 4.14189i | 0.0804288 | − | 0.139307i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.14065 | + | 3.70771i | 0.0719164 | + | 0.124563i | ||||
\(887\) | 4.21692 | 0.141590 | 0.0707952 | − | 0.997491i | \(-0.477446\pi\) | ||||
0.0707952 | + | 0.997491i | \(0.477446\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 16.0825 | − | 10.5016i | 0.539388 | − | 0.352213i | ||||
\(890\) | 12.9196 | 0.433067 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.0673 | + | 17.4371i | −0.337078 | + | 0.583837i | ||||
\(893\) | 38.0457 | 1.27315 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.43294 | − | 9.41013i | 0.181603 | − | 0.314546i | ||||
\(896\) | 1.59117 | + | 28.9685i | 0.0531574 | + | 0.967768i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.93685 | − | 6.81883i | 0.131375 | − | 0.227547i | ||||
\(899\) | −8.53374 | + | 14.7809i | −0.284616 | + | 0.492970i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 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 | ||||
\(905\) | −22.1301 | −0.735628 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 47.9851 | 1.59332 | 0.796659 | − | 0.604429i | \(-0.206599\pi\) | ||||
0.796659 | + | 0.604429i | \(0.206599\pi\) | |||||||
\(908\) | 22.4585 | + | 38.8993i | 0.745311 | + | 1.29092i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.21054 | − | 3.14480i | −0.205878 | − | 0.104249i | ||||
\(911\) | 12.8667 | + | 22.2858i | 0.426294 | + | 0.738362i | 0.996540 | − | 0.0831113i | \(-0.0264857\pi\) |
−0.570247 | + | 0.821474i | \(0.693152\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 35.6782 | + | 61.7965i | 1.18078 | + | 2.04517i | ||||
\(914\) | 3.52675 | + | 6.10852i | 0.116655 | + | 0.202052i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.9678 | + | 20.7288i | 0.395427 | + | 0.684900i | ||||
\(917\) | 45.3092 | − | 29.5863i | 1.49624 | − | 0.977024i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.13478 | + | 1.96550i | 0.0374330 | + | 0.0648359i | 0.884135 | − | 0.467232i | \(-0.154749\pi\) |
−0.846702 | + | 0.532068i | \(0.821415\pi\) | |||||||
\(920\) | 18.4384 | 0.607895 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.74968 | 0.156422 | ||||||||
\(923\) | 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 | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 19.6488 | − | 34.0328i | 0.645004 | − | 1.11718i | ||||
\(929\) | 22.9248 | − | 39.7069i | 0.752138 | − | 1.30274i | −0.194647 | − | 0.980873i | \(-0.562356\pi\) |
0.946785 | − | 0.321868i | \(-0.104311\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.9362 | + | 3.07824i | −0.915573 | + | 0.100885i | ||||
\(932\) | −3.83514 | + | 6.64266i | −0.125624 | + | 0.217587i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.63060 | −0.0860757 | ||||||||
\(935\) | 3.93346 | − | 6.81294i | 0.128638 | − | 0.222807i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −56.2075 | −1.83622 | −0.918110 | − | 0.396325i | \(-0.870285\pi\) | ||||
−0.918110 | + | 0.396325i | \(0.870285\pi\) | |||||||
\(938\) | 18.6925 | − | 12.2059i | 0.610330 | − | 0.398537i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.9376 | 0.682908 | ||||||||
\(941\) | −17.6402 | − | 30.5536i | −0.575053 | − | 0.996020i | −0.996036 | − | 0.0889519i | \(-0.971648\pi\) |
0.420983 | − | 0.907068i | \(-0.361685\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.676229 | − | 1.17126i | 0.0220210 | − | 0.0381415i | ||||
\(944\) | 9.91453 | 0.322691 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.29411 | −0.107101 | ||||||||
\(947\) | −25.3565 | + | 43.9188i | −0.823976 | + | 1.42717i | 0.0787236 | + | 0.996896i | \(0.474916\pi\) |
−0.902699 | + | 0.430272i | \(0.858418\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.7248 | + | 25.5040i | 0.477986 | + | 0.827896i | ||||
\(950\) | 7.99230 | 0.259305 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.386705 | + | 7.04023i | 0.0125332 | + | 0.228175i | ||||
\(953\) | −25.9988 | −0.842184 | −0.421092 | − | 0.907018i | \(-0.638353\pi\) | ||||
−0.421092 | + | 0.907018i | \(0.638353\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.5677 | + | 18.3038i | −0.341962 | + | 0.592296i | ||||
\(956\) | −20.2122 | −0.653710 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.39165 | + | 9.33861i | −0.174196 | + | 0.301717i | ||||
\(959\) | −27.0522 | + | 17.6647i | −0.873562 | + | 0.570424i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.3604 | − | 21.4088i | 0.398722 | − | 0.690607i | ||||
\(962\) | −1.31062 | + | 2.27006i | −0.0422562 | + | 0.0731898i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 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 | −0.995681 | − | 0.0928360i | \(-0.970407\pi\) |
0.578239 | + | 0.815867i | \(0.303740\pi\) | |||||||
\(968\) | 31.6854 | 1.01841 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.16103 | −0.165711 | ||||||||
\(971\) | 3.97206 | + | 6.87981i | 0.127469 | + | 0.220783i | 0.922696 | − | 0.385530i | \(-0.125981\pi\) |
−0.795226 | + | 0.606313i | \(0.792648\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.360130 | + | 6.55643i | 0.0115452 | + | 0.210189i | ||||
\(974\) | 1.17424 | + | 2.03384i | 0.0376249 | + | 0.0651683i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.0566680 | − | 0.0981518i | −0.00181390 | − | 0.00314176i | ||||
\(977\) | −26.1274 | − | 45.2540i | −0.835889 | − | 1.44780i | −0.893304 | − | 0.449452i | \(-0.851619\pi\) |
0.0574149 | − | 0.998350i | \(-0.481714\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −33.3464 | − | 57.7577i | −1.06576 | − | 1.84594i | ||||
\(980\) | −15.3740 | + | 1.69404i | −0.491106 | + | 0.0541140i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.7784 | − | 23.8650i | −0.439688 | − | 0.761562i | ||||
\(983\) | 38.8379 | 1.23874 | 0.619369 | − | 0.785100i | \(-0.287389\pi\) | ||||
0.619369 | + | 0.785100i | \(0.287389\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.75304 | −0.183307 | ||||||||
\(986\) | 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 | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.4689 | + | 26.7929i | −0.491385 | + | 0.851104i | −0.999951 | − | 0.00991892i | \(-0.996843\pi\) |
0.508565 | + | 0.861023i | \(0.330176\pi\) | |||||||
\(992\) | 7.22890 | − | 12.5208i | 0.229518 | − | 0.397536i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.00782973 | + | 0.142546i | 0.000248344 | + | 0.00452128i | ||||
\(995\) | 18.0122 | − | 31.1981i | 0.571025 | − | 0.989045i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 47.0670 | 1.49063 | 0.745313 | − | 0.666714i | \(-0.232300\pi\) | ||||
0.745313 | + | 0.666714i | \(0.232300\pi\) | |||||||
\(998\) | 3.96492 | − | 6.86745i | 0.125507 | − | 0.217385i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))