Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(26,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 3 x^{11} + 17 x^{10} - 18 x^{9} + 109 x^{8} - 93 x^{7} + 484 x^{6} - 147 x^{5} + 1009 x^{4} - 552 x^{3} + 1107 x^{2} + 33 x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 26.1 | ||
Root | \(-0.975939 + 1.69038i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.26 |
Dual form | 475.2.e.f.201.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08504 | − | 1.87935i | −0.767241 | − | 1.32890i | −0.939053 | − | 0.343771i | \(-0.888295\pi\) |
0.171812 | − | 0.985130i | \(-0.445038\pi\) | |||||||
\(3\) | −1.47594 | − | 2.55640i | −0.852134 | − | 1.47594i | −0.879279 | − | 0.476308i | \(-0.841975\pi\) |
0.0271449 | − | 0.999632i | \(-0.491358\pi\) | |||||||
\(4\) | −1.35464 | + | 2.34630i | −0.677319 | + | 1.17315i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −3.20292 | + | 5.54761i | −1.30758 | + | 2.26480i | ||||
\(7\) | 0.591620 | 0.223611 | 0.111806 | − | 0.993730i | \(-0.464337\pi\) | ||||
0.111806 | + | 0.993730i | \(0.464337\pi\) | |||||||
\(8\) | 1.53919 | 0.544185 | ||||||||
\(9\) | −2.85679 | + | 4.94811i | −0.952264 | + | 1.64937i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.58045 | 0.778036 | 0.389018 | − | 0.921230i | \(-0.372814\pi\) | ||||
0.389018 | + | 0.921230i | \(0.372814\pi\) | |||||||
\(12\) | 7.99745 | 2.30867 | ||||||||
\(13\) | −3.43332 | + | 5.94669i | −0.952232 | + | 1.64931i | −0.211653 | + | 0.977345i | \(0.567885\pi\) |
−0.740579 | + | 0.671969i | \(0.765449\pi\) | |||||||
\(14\) | −0.641933 | − | 1.11186i | −0.171564 | − | 0.297157i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.03919 | + | 1.79993i | 0.259797 | + | 0.449982i | ||||
\(17\) | 2.61787 | + | 4.53429i | 0.634927 | + | 1.09973i | 0.986531 | + | 0.163577i | \(0.0523033\pi\) |
−0.351603 | + | 0.936149i | \(0.614363\pi\) | |||||||
\(18\) | 12.3990 | 2.92247 | ||||||||
\(19\) | −2.26423 | − | 3.72468i | −0.519449 | − | 0.854501i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.873195 | − | 1.51242i | −0.190547 | − | 0.330037i | ||||
\(22\) | −2.79990 | − | 4.84957i | −0.596941 | − | 1.03393i | ||||
\(23\) | −1.45072 | + | 2.51271i | −0.302495 | + | 0.523937i | −0.976701 | − | 0.214607i | \(-0.931153\pi\) |
0.674205 | + | 0.738544i | \(0.264486\pi\) | |||||||
\(24\) | −2.27175 | − | 3.93478i | −0.463719 | − | 0.803185i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 14.9012 | 2.92237 | ||||||||
\(27\) | 8.01017 | 1.54156 | ||||||||
\(28\) | −0.801431 | + | 1.38812i | −0.151456 | + | 0.262330i | ||||
\(29\) | −3.52494 | + | 6.10538i | −0.654565 | + | 1.13374i | 0.327438 | + | 0.944873i | \(0.393815\pi\) |
−0.982003 | + | 0.188867i | \(0.939518\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.81421 | −1.22387 | −0.611934 | − | 0.790909i | \(-0.709608\pi\) | ||||
−0.611934 | + | 0.790909i | \(0.709608\pi\) | |||||||
\(32\) | 3.79432 | − | 6.57195i | 0.670747 | − | 1.16177i | ||||
\(33\) | −3.80859 | − | 6.59667i | −0.662990 | − | 1.14833i | ||||
\(34\) | 5.68101 | − | 9.83980i | 0.974285 | − | 1.68751i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.73984 | − | 13.4058i | −1.28997 | − | 2.23430i | ||||
\(37\) | −4.82538 | −0.793287 | −0.396644 | − | 0.917973i | \(-0.629825\pi\) | ||||
−0.396644 | + | 0.917973i | \(0.629825\pi\) | |||||||
\(38\) | −4.54320 | + | 8.29672i | −0.737005 | + | 1.34591i | ||||
\(39\) | 20.2695 | 3.24572 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.11419 | − | 5.39393i | −0.486355 | − | 0.842391i | 0.513522 | − | 0.858076i | \(-0.328340\pi\) |
−0.999877 | + | 0.0156852i | \(0.995007\pi\) | |||||||
\(42\) | −1.89491 | + | 3.28208i | −0.292391 | + | 0.506436i | ||||
\(43\) | −2.18013 | − | 3.77609i | −0.332467 | − | 0.575849i | 0.650528 | − | 0.759482i | \(-0.274548\pi\) |
−0.982995 | + | 0.183633i | \(0.941214\pi\) | |||||||
\(44\) | −3.49558 | + | 6.05452i | −0.526978 | + | 0.912753i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.29636 | 0.928348 | ||||||||
\(47\) | −1.27941 | + | 2.21600i | −0.186621 | + | 0.323237i | −0.944121 | − | 0.329598i | \(-0.893087\pi\) |
0.757501 | + | 0.652834i | \(0.226420\pi\) | |||||||
\(48\) | 3.06756 | − | 5.31317i | 0.442764 | − | 0.766890i | ||||
\(49\) | −6.64999 | −0.949998 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.72764 | − | 13.3847i | 1.08209 | − | 1.87423i | ||||
\(52\) | −9.30181 | − | 16.1112i | −1.28993 | − | 2.23422i | ||||
\(53\) | 4.79573 | − | 8.30645i | 0.658745 | − | 1.14098i | −0.322196 | − | 0.946673i | \(-0.604421\pi\) |
0.980941 | − | 0.194306i | \(-0.0622456\pi\) | |||||||
\(54\) | −8.69138 | − | 15.0539i | −1.18275 | − | 2.04858i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.910615 | 0.121686 | ||||||||
\(57\) | −6.17993 | + | 11.2857i | −0.818551 | + | 1.49483i | ||||
\(58\) | 15.2989 | 2.00884 | ||||||||
\(59\) | 1.46221 | + | 2.53263i | 0.190364 | + | 0.329720i | 0.945371 | − | 0.325997i | \(-0.105700\pi\) |
−0.755007 | + | 0.655717i | \(0.772367\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.16586 | + | 2.01932i | −0.149273 | + | 0.258548i | −0.930959 | − | 0.365124i | \(-0.881027\pi\) |
0.781686 | + | 0.623672i | \(0.214360\pi\) | |||||||
\(62\) | 7.39371 | + | 12.8063i | 0.939003 | + | 1.62640i | ||||
\(63\) | −1.69013 | + | 2.92740i | −0.212937 | + | 0.368818i | ||||
\(64\) | −12.3112 | −1.53891 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.26497 | + | 14.3153i | −1.01735 | + | 1.76210i | ||||
\(67\) | −2.15122 | + | 3.72603i | −0.262814 | + | 0.455207i | −0.966989 | − | 0.254820i | \(-0.917984\pi\) |
0.704175 | + | 0.710027i | \(0.251317\pi\) | |||||||
\(68\) | −14.1851 | −1.72019 | ||||||||
\(69\) | 8.56468 | 1.03107 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.74645 | + | 11.6852i | 0.800656 | + | 1.38678i | 0.919185 | + | 0.393827i | \(0.128849\pi\) |
−0.118528 | + | 0.992951i | \(0.537818\pi\) | |||||||
\(72\) | −4.39714 | + | 7.61607i | −0.518208 | + | 0.897563i | ||||
\(73\) | 4.21337 | + | 7.29777i | 0.493137 | + | 0.854139i | 0.999969 | − | 0.00790620i | \(-0.00251665\pi\) |
−0.506831 | + | 0.862045i | \(0.669183\pi\) | |||||||
\(74\) | 5.23574 | + | 9.06858i | 0.608643 | + | 1.05420i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.8064 | − | 0.266962i | 1.35429 | − | 0.0306226i | ||||
\(77\) | 1.52665 | 0.173978 | ||||||||
\(78\) | −21.9933 | − | 38.0935i | −2.49025 | − | 4.31324i | ||||
\(79\) | −2.93630 | − | 5.08583i | −0.330360 | − | 0.572200i | 0.652222 | − | 0.758028i | \(-0.273837\pi\) |
−0.982582 | + | 0.185827i | \(0.940503\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.25215 | − | 5.63288i | −0.361350 | − | 0.625876i | ||||
\(82\) | −6.75806 | + | 11.7053i | −0.746303 | + | 1.29263i | ||||
\(83\) | −4.02036 | −0.441292 | −0.220646 | − | 0.975354i | \(-0.570816\pi\) | ||||
−0.220646 | + | 0.975354i | \(0.570816\pi\) | |||||||
\(84\) | 4.73145 | 0.516244 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.73107 | + | 8.19445i | −0.510164 | + | 0.883630i | ||||
\(87\) | 20.8104 | 2.23111 | ||||||||
\(88\) | 3.97180 | 0.423396 | ||||||||
\(89\) | −1.85823 | + | 3.21855i | −0.196972 | + | 0.341166i | −0.947545 | − | 0.319622i | \(-0.896444\pi\) |
0.750573 | + | 0.660787i | \(0.229778\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.03122 | + | 3.51818i | −0.212930 | + | 0.368805i | ||||
\(92\) | −3.93039 | − | 6.80764i | −0.409772 | − | 0.709745i | ||||
\(93\) | 10.0574 | + | 17.4199i | 1.04290 | + | 1.80636i | ||||
\(94\) | 5.55285 | 0.572733 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −22.4007 | −2.28627 | ||||||||
\(97\) | −1.26285 | − | 2.18732i | −0.128223 | − | 0.222089i | 0.794765 | − | 0.606917i | \(-0.207594\pi\) |
−0.922988 | + | 0.384828i | \(0.874261\pi\) | |||||||
\(98\) | 7.21552 | + | 12.4977i | 0.728878 | + | 1.26245i | ||||
\(99\) | −7.37182 | + | 12.7684i | −0.740895 | + | 1.28327i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.692736 | + | 1.19985i | −0.0689298 | + | 0.119390i | −0.898430 | − | 0.439116i | \(-0.855292\pi\) |
0.829501 | + | 0.558506i | \(0.188625\pi\) | |||||||
\(102\) | −33.5393 | −3.32088 | ||||||||
\(103\) | 0.166774 | 0.0164328 | 0.00821638 | − | 0.999966i | \(-0.497385\pi\) | ||||
0.00821638 | + | 0.999966i | \(0.497385\pi\) | |||||||
\(104\) | −5.28453 | + | 9.15307i | −0.518191 | + | 0.897533i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −20.8143 | −2.02166 | ||||||||
\(107\) | −4.51729 | −0.436703 | −0.218351 | − | 0.975870i | \(-0.570068\pi\) | ||||
−0.218351 | + | 0.975870i | \(0.570068\pi\) | |||||||
\(108\) | −10.8509 | + | 18.7943i | −1.04413 | + | 1.80848i | ||||
\(109\) | 5.35464 | + | 9.27450i | 0.512881 | + | 0.888336i | 0.999888 | + | 0.0149384i | \(0.00475523\pi\) |
−0.487007 | + | 0.873398i | \(0.661911\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.12196 | + | 12.3356i | 0.675987 | + | 1.17084i | ||||
\(112\) | 0.614805 | + | 1.06487i | 0.0580936 | + | 0.100621i | ||||
\(113\) | 13.2065 | 1.24237 | 0.621183 | − | 0.783665i | \(-0.286652\pi\) | ||||
0.621183 | + | 0.783665i | \(0.286652\pi\) | |||||||
\(114\) | 27.9152 | − | 0.631206i | 2.61450 | − | 0.0591178i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −9.55004 | − | 16.5411i | −0.886699 | − | 1.53581i | ||||
\(117\) | −19.6166 | − | 33.9769i | −1.81355 | − | 3.14117i | ||||
\(118\) | 3.17313 | − | 5.49602i | 0.292110 | − | 0.505950i | ||||
\(119\) | 1.54879 | + | 2.68257i | 0.141977 | + | 0.245911i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.34127 | −0.394661 | ||||||||
\(122\) | 5.06002 | 0.458113 | ||||||||
\(123\) | −9.19271 | + | 15.9222i | −0.828879 | + | 1.43566i | ||||
\(124\) | 9.23079 | − | 15.9882i | 0.828949 | − | 1.43578i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 7.33548 | 0.653496 | ||||||||
\(127\) | −0.860805 | + | 1.49096i | −0.0763841 | + | 0.132301i | −0.901687 | − | 0.432389i | \(-0.857671\pi\) |
0.825303 | + | 0.564690i | \(0.191004\pi\) | |||||||
\(128\) | 5.76959 | + | 9.99323i | 0.509965 | + | 0.883285i | ||||
\(129\) | −6.43548 | + | 11.1466i | −0.566612 | + | 0.981401i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.64201 | − | 2.84405i | −0.143463 | − | 0.248486i | 0.785335 | − | 0.619071i | \(-0.212491\pi\) |
−0.928799 | + | 0.370585i | \(0.879157\pi\) | |||||||
\(132\) | 20.6370 | 1.79622 | ||||||||
\(133\) | −1.33956 | − | 2.20360i | −0.116155 | − | 0.191076i | ||||
\(134\) | 9.33668 | 0.806567 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.02940 | + | 6.97913i | 0.345518 | + | 0.598455i | ||||
\(137\) | −4.07541 | + | 7.05882i | −0.348186 | + | 0.603075i | −0.985927 | − | 0.167175i | \(-0.946536\pi\) |
0.637741 | + | 0.770251i | \(0.279869\pi\) | |||||||
\(138\) | −9.29304 | − | 16.0960i | −0.791076 | − | 1.37018i | ||||
\(139\) | 7.81401 | − | 13.5343i | 0.662776 | − | 1.14796i | −0.317108 | − | 0.948390i | \(-0.602712\pi\) |
0.979883 | − | 0.199571i | \(-0.0639550\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.55331 | 0.636103 | ||||||||
\(142\) | 14.6404 | − | 25.3579i | 1.22859 | − | 2.12799i | ||||
\(143\) | −8.85952 | + | 15.3451i | −0.740870 | + | 1.28323i | ||||
\(144\) | −11.8750 | −0.989582 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 9.14337 | − | 15.8368i | 0.756711 | − | 1.31066i | ||||
\(147\) | 9.81497 | + | 17.0000i | 0.809525 | + | 1.40214i | ||||
\(148\) | 6.53664 | − | 11.3218i | 0.537308 | − | 0.930646i | ||||
\(149\) | −1.61005 | − | 2.78869i | −0.131900 | − | 0.228458i | 0.792509 | − | 0.609861i | \(-0.208775\pi\) |
−0.924409 | + | 0.381402i | \(0.875441\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.1226 | −0.905142 | −0.452571 | − | 0.891728i | \(-0.649493\pi\) | ||||
−0.452571 | + | 0.891728i | \(0.649493\pi\) | |||||||
\(152\) | −3.48507 | − | 5.73299i | −0.282677 | − | 0.465007i | ||||
\(153\) | −29.9149 | −2.41847 | ||||||||
\(154\) | −1.65648 | − | 2.86910i | −0.133483 | − | 0.231199i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −27.4578 | + | 47.5583i | −2.19838 | + | 3.80771i | ||||
\(157\) | −10.7157 | − | 18.5602i | −0.855209 | − | 1.48127i | −0.876451 | − | 0.481491i | \(-0.840095\pi\) |
0.0212418 | − | 0.999774i | \(-0.493238\pi\) | |||||||
\(158\) | −6.37203 | + | 11.0367i | −0.506932 | + | 0.878032i | ||||
\(159\) | −28.3128 | −2.24535 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.858273 | + | 1.48657i | −0.0676414 | + | 0.117158i | ||||
\(162\) | −7.05744 | + | 12.2238i | −0.554485 | + | 0.960396i | ||||
\(163\) | 10.3129 | 0.807768 | 0.403884 | − | 0.914810i | \(-0.367660\pi\) | ||||
0.403884 | + | 0.914810i | \(0.367660\pi\) | |||||||
\(164\) | 16.8744 | 1.31767 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.36226 | + | 7.55566i | 0.338577 | + | 0.586433i | ||||
\(167\) | −3.25342 | + | 5.63509i | −0.251757 | + | 0.436056i | −0.964010 | − | 0.265867i | \(-0.914342\pi\) |
0.712252 | + | 0.701923i | \(0.247675\pi\) | |||||||
\(168\) | −1.34401 | − | 2.32790i | −0.103693 | − | 0.179601i | ||||
\(169\) | −17.0754 | − | 29.5754i | −1.31349 | − | 2.27503i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 24.8986 | − | 0.562995i | 1.90404 | − | 0.0430533i | ||||
\(172\) | 11.8131 | 0.900744 | ||||||||
\(173\) | −3.13027 | − | 5.42179i | −0.237990 | − | 0.412211i | 0.722147 | − | 0.691739i | \(-0.243155\pi\) |
−0.960137 | + | 0.279528i | \(0.909822\pi\) | |||||||
\(174\) | −22.5802 | − | 39.1100i | −1.71180 | − | 2.96492i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.68158 | + | 4.64463i | 0.202131 | + | 0.350102i | ||||
\(177\) | 4.31628 | − | 7.47601i | 0.324431 | − | 0.561931i | ||||
\(178\) | 8.06505 | 0.604501 | ||||||||
\(179\) | 23.1893 | 1.73325 | 0.866624 | − | 0.498961i | \(-0.166285\pi\) | ||||
0.866624 | + | 0.498961i | \(0.166285\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.59948 | − | 2.77039i | 0.118889 | − | 0.205921i | −0.800439 | − | 0.599414i | \(-0.795400\pi\) |
0.919328 | + | 0.393493i | \(0.128733\pi\) | |||||||
\(182\) | 8.81585 | 0.653474 | ||||||||
\(183\) | 6.88294 | 0.508801 | ||||||||
\(184\) | −2.23293 | + | 3.86754i | −0.164614 | + | 0.285119i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 21.8253 | − | 37.8026i | 1.60031 | − | 2.77182i | ||||
\(187\) | 6.75529 | + | 11.7005i | 0.493996 | + | 0.855626i | ||||
\(188\) | −3.46627 | − | 6.00375i | −0.252803 | − | 0.437868i | ||||
\(189\) | 4.73898 | 0.344710 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9443 | 1.37076 | 0.685382 | − | 0.728184i | \(-0.259635\pi\) | ||||
0.685382 | + | 0.728184i | \(0.259635\pi\) | |||||||
\(192\) | 18.1706 | + | 31.4725i | 1.31135 | + | 2.27133i | ||||
\(193\) | 0.515269 | + | 0.892472i | 0.0370899 | + | 0.0642415i | 0.883974 | − | 0.467535i | \(-0.154858\pi\) |
−0.846885 | + | 0.531777i | \(0.821525\pi\) | |||||||
\(194\) | −2.74049 | + | 4.74667i | −0.196756 | + | 0.340791i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.00832 | − | 15.6029i | 0.643452 | − | 1.11449i | ||||
\(197\) | −18.5515 | −1.32174 | −0.660868 | − | 0.750502i | \(-0.729812\pi\) | ||||
−0.660868 | + | 0.750502i | \(0.729812\pi\) | |||||||
\(198\) | 31.9950 | 2.27378 | ||||||||
\(199\) | −11.3166 | + | 19.6010i | −0.802215 | + | 1.38948i | 0.115940 | + | 0.993256i | \(0.463012\pi\) |
−0.918155 | + | 0.396221i | \(0.870321\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.7003 | 0.895810 | ||||||||
\(202\) | 3.00659 | 0.211543 | ||||||||
\(203\) | −2.08542 | + | 3.61206i | −0.146368 | + | 0.253517i | ||||
\(204\) | 20.9363 | + | 36.2627i | 1.46583 | + | 2.53890i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.180957 | − | 0.313427i | −0.0126079 | − | 0.0218375i | ||||
\(207\) | −8.28879 | − | 14.3566i | −0.576111 | − | 0.997853i | ||||
\(208\) | −14.2715 | −0.989549 | ||||||||
\(209\) | −5.84273 | − | 9.61137i | −0.404150 | − | 0.664832i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.21978 | − | 10.7730i | −0.428187 | − | 0.741642i | 0.568525 | − | 0.822666i | \(-0.307514\pi\) |
−0.996712 | + | 0.0810240i | \(0.974181\pi\) | |||||||
\(212\) | 12.9930 | + | 22.5045i | 0.892360 | + | 1.54561i | ||||
\(213\) | 19.9147 | − | 34.4933i | 1.36453 | − | 2.36344i | ||||
\(214\) | 4.90145 | + | 8.48956i | 0.335056 | + | 0.580335i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 12.3292 | 0.838893 | ||||||||
\(217\) | −4.03142 | −0.273671 | ||||||||
\(218\) | 11.6200 | − | 20.1265i | 0.787008 | − | 1.36314i | ||||
\(219\) | 12.4373 | − | 21.5421i | 0.840438 | − | 1.45568i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −35.9520 | −2.41839 | ||||||||
\(222\) | 15.4553 | − | 26.7693i | 1.03729 | − | 1.79664i | ||||
\(223\) | 9.58654 | + | 16.6044i | 0.641962 | + | 1.11191i | 0.984994 | + | 0.172588i | \(0.0552128\pi\) |
−0.343032 | + | 0.939324i | \(0.611454\pi\) | |||||||
\(224\) | 2.24479 | − | 3.88810i | 0.149987 | − | 0.259784i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.3297 | − | 24.8197i | −0.953195 | − | 1.65098i | ||||
\(227\) | −26.5208 | −1.76025 | −0.880123 | − | 0.474745i | \(-0.842540\pi\) | ||||
−0.880123 | + | 0.474745i | \(0.842540\pi\) | |||||||
\(228\) | −18.1080 | − | 29.7880i | −1.19923 | − | 1.97276i | ||||
\(229\) | −8.81023 | −0.582196 | −0.291098 | − | 0.956693i | \(-0.594021\pi\) | ||||
−0.291098 | + | 0.956693i | \(0.594021\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.25324 | − | 3.90272i | −0.148252 | − | 0.256780i | ||||
\(232\) | −5.42555 | + | 9.39733i | −0.356205 | + | 0.616965i | ||||
\(233\) | 2.25616 | + | 3.90778i | 0.147806 | + | 0.256007i | 0.930416 | − | 0.366505i | \(-0.119446\pi\) |
−0.782610 | + | 0.622512i | \(0.786112\pi\) | |||||||
\(234\) | −42.5697 | + | 73.7328i | −2.78287 | + | 4.82006i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −7.92308 | −0.515749 | ||||||||
\(237\) | −8.66761 | + | 15.0127i | −0.563022 | + | 0.975182i | ||||
\(238\) | 3.36100 | − | 5.82142i | 0.217861 | − | 0.377347i | ||||
\(239\) | −7.82431 | −0.506112 | −0.253056 | − | 0.967452i | \(-0.581436\pi\) | ||||
−0.253056 | + | 0.967452i | \(0.581436\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.6697 | + | 23.6766i | −0.880541 | + | 1.52514i | −0.0298010 | + | 0.999556i | \(0.509487\pi\) |
−0.850740 | + | 0.525586i | \(0.823846\pi\) | |||||||
\(242\) | 4.71046 | + | 8.15876i | 0.302800 | + | 0.524465i | ||||
\(243\) | 2.41531 | − | 4.18345i | 0.154942 | − | 0.268368i | ||||
\(244\) | −3.15863 | − | 5.47091i | −0.202210 | − | 0.350239i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 39.8979 | 2.54380 | ||||||||
\(247\) | 29.9233 | − | 0.676612i | 1.90398 | − | 0.0430518i | ||||
\(248\) | −10.4884 | −0.666011 | ||||||||
\(249\) | 5.93380 | + | 10.2777i | 0.376040 | + | 0.651320i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.11886 | − | 14.0623i | 0.512458 | − | 0.887603i | −0.487438 | − | 0.873158i | \(-0.662068\pi\) |
0.999896 | − | 0.0144451i | \(-0.00459818\pi\) | |||||||
\(252\) | −4.57904 | − | 7.93113i | −0.288452 | − | 0.499614i | ||||
\(253\) | −3.74350 | + | 6.48394i | −0.235352 | + | 0.407642i | ||||
\(254\) | 3.73604 | 0.234420 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.209275 | − | 0.362476i | 0.0130797 | − | 0.0226547i | ||||
\(257\) | 4.57174 | − | 7.91848i | 0.285177 | − | 0.493941i | −0.687475 | − | 0.726208i | \(-0.741281\pi\) |
0.972652 | + | 0.232267i | \(0.0746143\pi\) | |||||||
\(258\) | 27.9311 | 1.73891 | ||||||||
\(259\) | −2.85479 | −0.177388 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −20.1400 | − | 34.8836i | −1.24664 | − | 2.15924i | ||||
\(262\) | −3.56331 | + | 6.17183i | −0.220142 | + | 0.381297i | ||||
\(263\) | 7.64861 | + | 13.2478i | 0.471634 | + | 0.816894i | 0.999473 | − | 0.0324505i | \(-0.0103311\pi\) |
−0.527840 | + | 0.849344i | \(0.676998\pi\) | |||||||
\(264\) | −5.86214 | − | 10.1535i | −0.360790 | − | 0.624906i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.68785 | + | 4.90850i | −0.164803 | + | 0.300960i | ||||
\(267\) | 10.9705 | 0.671386 | ||||||||
\(268\) | −5.82826 | − | 10.0948i | −0.356017 | − | 0.616640i | ||||
\(269\) | 7.07334 | + | 12.2514i | 0.431269 | + | 0.746981i | 0.996983 | − | 0.0776213i | \(-0.0247325\pi\) |
−0.565714 | + | 0.824602i | \(0.691399\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.68158 | + | 9.84078i | 0.345131 | + | 0.597785i | 0.985378 | − | 0.170385i | \(-0.0545010\pi\) |
−0.640246 | + | 0.768170i | \(0.721168\pi\) | |||||||
\(272\) | −5.44093 | + | 9.42396i | −0.329905 | + | 0.571412i | ||||
\(273\) | 11.9918 | 0.725779 | ||||||||
\(274\) | 17.6880 | 1.06857 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −11.6020 | + | 20.0953i | −0.698360 | + | 1.20960i | ||||
\(277\) | 18.9102 | 1.13620 | 0.568101 | − | 0.822959i | \(-0.307678\pi\) | ||||
0.568101 | + | 0.822959i | \(0.307678\pi\) | |||||||
\(278\) | −33.9142 | −2.03404 | ||||||||
\(279\) | 19.4668 | − | 33.7175i | 1.16545 | − | 2.01861i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.9438 | − | 24.1513i | 0.831816 | − | 1.44075i | −0.0647802 | − | 0.997900i | \(-0.520635\pi\) |
0.896596 | − | 0.442849i | \(-0.146032\pi\) | |||||||
\(282\) | −8.19567 | − | 14.1953i | −0.488045 | − | 0.845318i | ||||
\(283\) | −7.19798 | − | 12.4673i | −0.427876 | − | 0.741102i | 0.568809 | − | 0.822470i | \(-0.307405\pi\) |
−0.996684 | + | 0.0813677i | \(0.974071\pi\) | |||||||
\(284\) | −36.5560 | −2.16920 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 38.4519 | 2.27371 | ||||||||
\(287\) | −1.84242 | − | 3.19116i | −0.108754 | − | 0.188368i | ||||
\(288\) | 21.6792 | + | 37.5494i | 1.27746 | + | 2.21262i | ||||
\(289\) | −5.20651 | + | 9.01794i | −0.306265 | + | 0.530467i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.72778 | + | 6.45670i | −0.218526 | + | 0.378498i | ||||
\(292\) | −22.8303 | −1.33605 | ||||||||
\(293\) | 2.63178 | 0.153750 | 0.0768752 | − | 0.997041i | \(-0.475506\pi\) | ||||
0.0768752 | + | 0.997041i | \(0.475506\pi\) | |||||||
\(294\) | 21.2993 | − | 36.8915i | 1.24220 | − | 2.15156i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −7.42717 | −0.431695 | ||||||||
\(297\) | 20.6699 | 1.19939 | ||||||||
\(298\) | −3.49395 | + | 6.05169i | −0.202399 | + | 0.350565i | ||||
\(299\) | −9.96155 | − | 17.2539i | −0.576091 | − | 0.997819i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.28981 | − | 2.23401i | −0.0743433 | − | 0.128766i | ||||
\(302\) | 12.0685 | + | 20.9032i | 0.694463 | + | 1.20284i | ||||
\(303\) | 4.08974 | 0.234950 | ||||||||
\(304\) | 4.35120 | − | 7.94610i | 0.249559 | − | 0.455740i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 32.4589 | + | 56.2205i | 1.85555 | + | 3.21391i | ||||
\(307\) | 8.41257 | + | 14.5710i | 0.480131 | + | 0.831611i | 0.999740 | − | 0.0227929i | \(-0.00725584\pi\) |
−0.519609 | + | 0.854404i | \(0.673923\pi\) | |||||||
\(308\) | −2.06805 | + | 3.58197i | −0.117838 | + | 0.204102i | ||||
\(309\) | −0.246149 | − | 0.426342i | −0.0140029 | − | 0.0242538i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.3273 | −1.03924 | −0.519622 | − | 0.854396i | \(-0.673927\pi\) | ||||
−0.519622 | + | 0.854396i | \(0.673927\pi\) | |||||||
\(312\) | 31.1986 | 1.76627 | ||||||||
\(313\) | 11.7527 | − | 20.3562i | 0.664299 | − | 1.15060i | −0.315176 | − | 0.949033i | \(-0.602063\pi\) |
0.979475 | − | 0.201567i | \(-0.0646033\pi\) | |||||||
\(314\) | −23.2541 | + | 40.2772i | −1.31230 | + | 2.27298i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 15.9105 | 0.895036 | ||||||||
\(317\) | 1.94177 | − | 3.36324i | 0.109061 | − | 0.188899i | −0.806329 | − | 0.591467i | \(-0.798549\pi\) |
0.915390 | + | 0.402568i | \(0.131882\pi\) | |||||||
\(318\) | 30.7207 | + | 53.2097i | 1.72273 | + | 2.98385i | ||||
\(319\) | −9.09594 | + | 15.7546i | −0.509275 | + | 0.882090i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.66724 | + | 11.5480i | 0.372129 | + | 0.644546i | ||||
\(322\) | 3.72505 | 0.207589 | ||||||||
\(323\) | 10.9613 | − | 20.0174i | 0.609905 | − | 1.11380i | ||||
\(324\) | 17.6219 | 0.978996 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −11.1899 | − | 19.3815i | −0.619753 | − | 1.07344i | ||||
\(327\) | 15.8062 | − | 27.3772i | 0.874087 | − | 1.51396i | ||||
\(328\) | −4.79333 | − | 8.30228i | −0.264667 | − | 0.458417i | ||||
\(329\) | −0.756923 | + | 1.31103i | −0.0417305 | + | 0.0722793i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.25821 | 0.179087 | 0.0895437 | − | 0.995983i | \(-0.471459\pi\) | ||||
0.0895437 | + | 0.995983i | \(0.471459\pi\) | |||||||
\(332\) | 5.44613 | − | 9.43297i | 0.298895 | − | 0.517702i | ||||
\(333\) | 13.7851 | − | 23.8765i | 0.755419 | − | 1.30842i | ||||
\(334\) | 14.1204 | 0.772635 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.81483 | − | 3.14338i | 0.0990070 | − | 0.171485i | ||||
\(337\) | 11.0987 | + | 19.2234i | 0.604582 | + | 1.04717i | 0.992117 | + | 0.125312i | \(0.0399933\pi\) |
−0.387535 | + | 0.921855i | \(0.626673\pi\) | |||||||
\(338\) | −37.0551 | + | 64.1813i | −2.01553 | + | 3.49100i | ||||
\(339\) | −19.4921 | − | 33.7612i | −1.05866 | − | 1.83366i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −17.5837 | −0.952213 | ||||||||
\(342\) | −28.0741 | − | 46.1823i | −1.51807 | − | 2.49725i | ||||
\(343\) | −8.07560 | −0.436042 | ||||||||
\(344\) | −3.35563 | − | 5.81212i | −0.180923 | − | 0.313369i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.79296 | + | 11.7658i | −0.365192 | + | 0.632531i | ||||
\(347\) | 1.49728 | + | 2.59336i | 0.0803780 | + | 0.139219i | 0.903412 | − | 0.428773i | \(-0.141054\pi\) |
−0.823034 | + | 0.567992i | \(0.807721\pi\) | |||||||
\(348\) | −28.1905 | + | 48.8274i | −1.51117 | + | 2.61743i | ||||
\(349\) | 15.1407 | 0.810461 | 0.405230 | − | 0.914215i | \(-0.367191\pi\) | ||||
0.405230 | + | 0.914215i | \(0.367191\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −27.5015 | + | 47.6340i | −1.46792 | + | 2.54251i | ||||
\(352\) | 9.79106 | − | 16.9586i | 0.521865 | − | 0.903897i | ||||
\(353\) | −34.4369 | −1.83289 | −0.916446 | − | 0.400159i | \(-0.868955\pi\) | ||||
−0.916446 | + | 0.400159i | \(0.868955\pi\) | |||||||
\(354\) | −18.7334 | −0.995668 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.03446 | − | 8.71994i | −0.266826 | − | 0.462156i | ||||
\(357\) | 4.57182 | − | 7.91863i | 0.241967 | − | 0.419098i | ||||
\(358\) | −25.1614 | − | 43.5808i | −1.32982 | − | 2.30332i | ||||
\(359\) | −1.58165 | − | 2.73950i | −0.0834763 | − | 0.144585i | 0.821265 | − | 0.570548i | \(-0.193269\pi\) |
−0.904741 | + | 0.425962i | \(0.859936\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.74655 | + | 16.8671i | −0.460345 | + | 0.887740i | ||||
\(362\) | −6.94204 | −0.364865 | ||||||||
\(363\) | 6.40744 | + | 11.0980i | 0.336304 | + | 0.582495i | ||||
\(364\) | −5.50314 | − | 9.53171i | −0.288443 | − | 0.499597i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −7.46829 | − | 12.9354i | −0.390374 | − | 0.676147i | ||||
\(367\) | −10.7270 | + | 18.5797i | −0.559945 | + | 0.969853i | 0.437556 | + | 0.899191i | \(0.355844\pi\) |
−0.997500 | + | 0.0706615i | \(0.977489\pi\) | |||||||
\(368\) | −6.03027 | −0.314350 | ||||||||
\(369\) | 35.5864 | 1.85255 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.83725 | − | 4.91426i | 0.147303 | − | 0.255136i | ||||
\(372\) | −54.4963 | −2.82550 | ||||||||
\(373\) | −33.1587 | −1.71689 | −0.858446 | − | 0.512904i | \(-0.828570\pi\) | ||||
−0.858446 | + | 0.512904i | \(0.828570\pi\) | |||||||
\(374\) | 14.6596 | − | 25.3911i | 0.758028 | − | 1.31294i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.96925 | + | 3.41084i | −0.101556 | + | 0.175901i | ||||
\(377\) | −24.2045 | − | 41.9234i | −1.24660 | − | 2.15917i | ||||
\(378\) | −5.14199 | − | 8.90619i | −0.264476 | − | 0.458085i | ||||
\(379\) | −14.1646 | −0.727589 | −0.363795 | − | 0.931479i | \(-0.618519\pi\) | ||||
−0.363795 | + | 0.931479i | \(0.618519\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.08198 | 0.260358 | ||||||||
\(382\) | −20.5554 | − | 35.6030i | −1.05171 | − | 1.82161i | ||||
\(383\) | −5.41036 | − | 9.37102i | −0.276457 | − | 0.478837i | 0.694045 | − | 0.719932i | \(-0.255827\pi\) |
−0.970502 | + | 0.241095i | \(0.922494\pi\) | |||||||
\(384\) | 17.0311 | − | 29.4988i | 0.869117 | − | 1.50535i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.11818 | − | 1.93674i | 0.0569138 | − | 0.0985775i | ||||
\(387\) | 24.9127 | 1.26638 | ||||||||
\(388\) | 6.84281 | 0.347391 | ||||||||
\(389\) | −5.38703 | + | 9.33061i | −0.273133 | + | 0.473081i | −0.969662 | − | 0.244448i | \(-0.921393\pi\) |
0.696529 | + | 0.717529i | \(0.254727\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −15.1912 | −0.768250 | ||||||||
\(392\) | −10.2356 | −0.516975 | ||||||||
\(393\) | −4.84702 | + | 8.39529i | −0.244500 | + | 0.423486i | ||||
\(394\) | 20.1291 | + | 34.8647i | 1.01409 | + | 1.75646i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −19.9723 | − | 34.5930i | −1.00364 | − | 1.73836i | ||||
\(397\) | 1.55107 | + | 2.68653i | 0.0778461 | + | 0.134833i | 0.902320 | − | 0.431066i | \(-0.141862\pi\) |
−0.824474 | + | 0.565899i | \(0.808529\pi\) | |||||||
\(398\) | 49.1162 | 2.46197 | ||||||||
\(399\) | −3.65617 | + | 6.67683i | −0.183037 | + | 0.334260i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.65671 | + | 9.79771i | 0.282483 | + | 0.489274i | 0.971996 | − | 0.234999i | \(-0.0755088\pi\) |
−0.689513 | + | 0.724273i | \(0.742175\pi\) | |||||||
\(402\) | −13.7804 | − | 23.8683i | −0.687303 | − | 1.19044i | ||||
\(403\) | 23.3954 | − | 40.5220i | 1.16541 | − | 2.01854i | ||||
\(404\) | −1.87681 | − | 3.25074i | −0.0933749 | − | 0.161730i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.05110 | 0.449199 | ||||||||
\(407\) | −12.4517 | −0.617206 | ||||||||
\(408\) | 11.8943 | − | 20.6015i | 0.588855 | − | 1.01993i | ||||
\(409\) | −7.11186 | + | 12.3181i | −0.351659 | + | 0.609091i | −0.986540 | − | 0.163519i | \(-0.947716\pi\) |
0.634882 | + | 0.772609i | \(0.281049\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 24.0602 | 1.18680 | ||||||||
\(412\) | −0.225919 | + | 0.391303i | −0.0111302 | + | 0.0192781i | ||||
\(413\) | 0.865075 | + | 1.49835i | 0.0425675 | + | 0.0737291i | ||||
\(414\) | −17.9874 | + | 31.1551i | −0.884032 | + | 1.53119i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 26.0542 | + | 45.1272i | 1.27741 | + | 2.21255i | ||||
\(417\) | −46.1320 | −2.25909 | ||||||||
\(418\) | −11.7235 | + | 21.4093i | −0.573416 | + | 1.04716i | ||||
\(419\) | −11.0053 | −0.537643 | −0.268821 | − | 0.963190i | \(-0.586634\pi\) | ||||
−0.268821 | + | 0.963190i | \(0.586634\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.4625 | + | 19.8536i | 0.558646 | + | 0.967604i | 0.997610 | + | 0.0690991i | \(0.0220125\pi\) |
−0.438963 | + | 0.898505i | \(0.644654\pi\) | |||||||
\(422\) | −13.4975 | + | 23.3783i | −0.657046 | + | 1.13804i | ||||
\(423\) | −7.31000 | − | 12.6613i | −0.355424 | − | 0.615613i | ||||
\(424\) | 7.38154 | − | 12.7852i | 0.358479 | − | 0.620904i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −86.4332 | −4.18770 | ||||||||
\(427\) | −0.689744 | + | 1.19467i | −0.0333791 | + | 0.0578142i | ||||
\(428\) | 6.11929 | − | 10.5989i | 0.295787 | − | 0.512318i | ||||
\(429\) | 52.3045 | 2.52528 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.49811 | − | 14.7192i | 0.409340 | − | 0.708997i | −0.585476 | − | 0.810690i | \(-0.699092\pi\) |
0.994816 | + | 0.101693i | \(0.0324258\pi\) | |||||||
\(432\) | 8.32408 | + | 14.4177i | 0.400492 | + | 0.693673i | ||||
\(433\) | −15.7493 | + | 27.2786i | −0.756863 | + | 1.31093i | 0.187580 | + | 0.982249i | \(0.439936\pi\) |
−0.944443 | + | 0.328676i | \(0.893398\pi\) | |||||||
\(434\) | 4.37427 | + | 7.57645i | 0.209972 | + | 0.363681i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −29.0144 | −1.38954 | ||||||||
\(437\) | 12.6438 | − | 0.285896i | 0.604836 | − | 0.0136763i | ||||
\(438\) | −53.9802 | −2.57928 | ||||||||
\(439\) | −1.57963 | − | 2.73600i | −0.0753916 | − | 0.130582i | 0.825865 | − | 0.563868i | \(-0.190687\pi\) |
−0.901256 | + | 0.433286i | \(0.857354\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.9976 | − | 32.9049i | 0.904649 | − | 1.56690i | ||||
\(442\) | 39.0095 | + | 67.5664i | 1.85549 | + | 3.21380i | ||||
\(443\) | 5.94720 | − | 10.3008i | 0.282560 | − | 0.489408i | −0.689455 | − | 0.724329i | \(-0.742150\pi\) |
0.972015 | + | 0.234921i | \(0.0754831\pi\) | |||||||
\(444\) | −38.5907 | −1.83143 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 20.8036 | − | 36.0329i | 0.985080 | − | 1.70621i | ||||
\(447\) | −4.75267 | + | 8.23186i | −0.224794 | + | 0.389354i | ||||
\(448\) | −7.28358 | −0.344117 | ||||||||
\(449\) | 21.2175 | 1.00132 | 0.500659 | − | 0.865645i | \(-0.333091\pi\) | ||||
0.500659 | + | 0.865645i | \(0.333091\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.03602 | − | 13.9188i | −0.378401 | − | 0.655410i | ||||
\(452\) | −17.8901 | + | 30.9865i | −0.841479 | + | 1.45748i | ||||
\(453\) | 16.4162 | + | 28.4338i | 0.771302 | + | 1.33593i | ||||
\(454\) | 28.7762 | + | 49.8418i | 1.35053 | + | 2.33919i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.51208 | + | 17.3708i | −0.445444 | + | 0.813462i | ||||
\(457\) | −9.41670 | −0.440495 | −0.220247 | − | 0.975444i | \(-0.570686\pi\) | ||||
−0.220247 | + | 0.975444i | \(0.570686\pi\) | |||||||
\(458\) | 9.55948 | + | 16.5575i | 0.446685 | + | 0.773682i | ||||
\(459\) | 20.9696 | + | 36.3204i | 0.978777 | + | 1.69529i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.16004 | − | 2.00924i | −0.0540282 | − | 0.0935797i | 0.837746 | − | 0.546060i | \(-0.183873\pi\) |
−0.891775 | + | 0.452480i | \(0.850539\pi\) | |||||||
\(462\) | −4.88972 | + | 8.46924i | −0.227490 | + | 0.394025i | ||||
\(463\) | −14.7160 | −0.683909 | −0.341955 | − | 0.939716i | \(-0.611089\pi\) | ||||
−0.341955 | + | 0.939716i | \(0.611089\pi\) | |||||||
\(464\) | −14.6523 | −0.680217 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.89606 | − | 8.48023i | 0.226806 | − | 0.392839i | ||||
\(467\) | 11.7747 | 0.544867 | 0.272434 | − | 0.962175i | \(-0.412172\pi\) | ||||
0.272434 | + | 0.962175i | \(0.412172\pi\) | |||||||
\(468\) | 106.293 | 4.91341 | ||||||||
\(469\) | −1.27271 | + | 2.20439i | −0.0587681 | + | 0.101789i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −31.6316 | + | 54.7875i | −1.45751 | + | 2.52447i | ||||
\(472\) | 2.25062 | + | 3.89819i | 0.103593 | + | 0.179429i | ||||
\(473\) | −5.62572 | − | 9.74403i | −0.258671 | − | 0.448031i | ||||
\(474\) | 37.6189 | 1.72789 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.39217 | −0.384655 | ||||||||
\(477\) | 27.4008 | + | 47.4596i | 1.25460 | + | 2.17303i | ||||
\(478\) | 8.48971 | + | 14.7046i | 0.388310 | + | 0.672573i | ||||
\(479\) | −5.69219 | + | 9.85915i | −0.260083 | + | 0.450476i | −0.966264 | − | 0.257555i | \(-0.917083\pi\) |
0.706181 | + | 0.708031i | \(0.250416\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.5671 | − | 28.6950i | 0.755394 | − | 1.30838i | ||||
\(482\) | 59.3288 | 2.70235 | ||||||||
\(483\) | 5.06703 | 0.230558 | ||||||||
\(484\) | 5.88084 | − | 10.1859i | 0.267311 | − | 0.462996i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −10.4829 | −0.475513 | ||||||||
\(487\) | 4.77063 | 0.216178 | 0.108089 | − | 0.994141i | \(-0.465527\pi\) | ||||
0.108089 | + | 0.994141i | \(0.465527\pi\) | |||||||
\(488\) | −1.79447 | + | 3.10812i | −0.0812321 | + | 0.140698i | ||||
\(489\) | −15.2212 | − | 26.3639i | −0.688326 | − | 1.19222i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.50665 | + | 4.34165i | 0.113124 | + | 0.195936i | 0.917028 | − | 0.398822i | \(-0.130581\pi\) |
−0.803904 | + | 0.594758i | \(0.797248\pi\) | |||||||
\(492\) | −24.9056 | − | 43.1377i | −1.12283 | − | 1.94480i | ||||
\(493\) | −36.9114 | −1.66240 | ||||||||
\(494\) | −33.7397 | − | 55.5023i | −1.51802 | − | 2.49717i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.08125 | − | 12.2651i | −0.317958 | − | 0.550719i | ||||
\(497\) | 3.99133 | + | 6.91319i | 0.179036 | + | 0.310099i | ||||
\(498\) | 12.8769 | − | 22.3034i | 0.577026 | − | 0.999439i | ||||
\(499\) | −10.9112 | − | 18.8987i | −0.488450 | − | 0.846021i | 0.511461 | − | 0.859306i | \(-0.329104\pi\) |
−0.999912 | + | 0.0132853i | \(0.995771\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 19.2074 | 0.858124 | ||||||||
\(502\) | −35.2372 | −1.57272 | ||||||||
\(503\) | 7.58583 | − | 13.1391i | 0.338236 | − | 0.585841i | −0.645865 | − | 0.763451i | \(-0.723503\pi\) |
0.984101 | + | 0.177610i | \(0.0568366\pi\) | |||||||
\(504\) | −2.60144 | + | 4.50582i | −0.115877 | + | 0.200705i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 16.2475 | 0.722288 | ||||||||
\(507\) | −50.4045 | + | 87.3031i | −2.23854 | + | 3.87727i | ||||
\(508\) | −2.33216 | − | 4.03941i | −0.103473 | − | 0.179220i | ||||
\(509\) | −2.59122 | + | 4.48812i | −0.114854 | + | 0.198933i | −0.917721 | − | 0.397225i | \(-0.869973\pi\) |
0.802868 | + | 0.596157i | \(0.203307\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.49271 | + | 4.31750i | 0.110271 | + | 0.190995i | ||||
\(512\) | 22.1701 | 0.979789 | ||||||||
\(513\) | −18.1368 | − | 29.8354i | −0.800761 | − | 1.31726i | ||||
\(514\) | −19.8421 | −0.875199 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −17.4355 | − | 30.1991i | −0.767554 | − | 1.32944i | ||||
\(517\) | −3.30145 | + | 5.71828i | −0.145198 | + | 0.251490i | ||||
\(518\) | 3.09757 | + | 5.36515i | 0.136099 | + | 0.235731i | ||||
\(519\) | −9.24018 | + | 16.0045i | −0.405599 | + | 0.702518i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 11.2091 | 0.491079 | 0.245540 | − | 0.969387i | \(-0.421035\pi\) | ||||
0.245540 | + | 0.969387i | \(0.421035\pi\) | |||||||
\(522\) | −43.7056 | + | 75.7004i | −1.91294 | + | 3.31332i | ||||
\(523\) | −2.71940 | + | 4.71014i | −0.118911 | + | 0.205960i | −0.919336 | − | 0.393472i | \(-0.871274\pi\) |
0.800425 | + | 0.599433i | \(0.204607\pi\) | |||||||
\(524\) | 8.89733 | 0.388682 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.5982 | − | 28.7488i | 0.723714 | − | 1.25351i | ||||
\(527\) | −17.8387 | − | 30.8976i | −0.777067 | − | 1.34592i | ||||
\(528\) | 7.91569 | − | 13.7104i | 0.344486 | − | 0.596668i | ||||
\(529\) | 7.29084 | + | 12.6281i | 0.316993 | + | 0.549048i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −16.7090 | −0.725107 | ||||||||
\(532\) | 6.98492 | − | 0.157940i | 0.302835 | − | 0.00684756i | ||||
\(533\) | 42.7680 | 1.85249 | ||||||||
\(534\) | −11.9035 | − | 20.6175i | −0.515116 | − | 0.892206i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.31114 | + | 5.73506i | −0.143019 | + | 0.247717i | ||||
\(537\) | −34.2260 | − | 59.2811i | −1.47696 | − | 2.55817i | ||||
\(538\) | 15.3498 | − | 26.5866i | 0.661776 | − | 1.14623i | ||||
\(539\) | −17.1600 | −0.739132 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.14111 | + | 12.3688i | −0.307020 | + | 0.531775i | −0.977709 | − | 0.209964i | \(-0.932665\pi\) |
0.670689 | + | 0.741739i | \(0.265999\pi\) | |||||||
\(542\) | 12.3295 | − | 21.3554i | 0.529598 | − | 0.917291i | ||||
\(543\) | −9.44296 | −0.405236 | ||||||||
\(544\) | 39.7322 | 1.70350 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −13.0117 | − | 22.5369i | −0.556848 | − | 0.964488i | ||||
\(547\) | 12.5122 | − | 21.6717i | 0.534982 | − | 0.926616i | −0.464182 | − | 0.885740i | \(-0.653652\pi\) |
0.999164 | − | 0.0408766i | \(-0.0130151\pi\) | |||||||
\(548\) | −11.0414 | − | 19.1243i | −0.471666 | − | 0.816949i | ||||
\(549\) | −6.66122 | − | 11.5376i | −0.284294 | − | 0.492412i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 30.7219 | − | 0.694668i | 1.30880 | − | 0.0295939i | ||||
\(552\) | 13.1827 | 0.561091 | ||||||||
\(553\) | −1.73718 | − | 3.00888i | −0.0738722 | − | 0.127950i | ||||
\(554\) | −20.5184 | − | 35.5388i | −0.871741 | − | 1.50990i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 21.1703 | + | 36.6680i | 0.897821 | + | 1.55507i | ||||
\(557\) | 3.57846 | − | 6.19807i | 0.151624 | − | 0.262621i | −0.780201 | − | 0.625529i | \(-0.784883\pi\) |
0.931825 | + | 0.362909i | \(0.118216\pi\) | |||||||
\(558\) | −84.4892 | −3.57671 | ||||||||
\(559\) | 29.9403 | 1.26634 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 19.9408 | − | 34.5385i | 0.841901 | − | 1.45822i | ||||
\(562\) | −60.5184 | −2.55282 | ||||||||
\(563\) | 28.9386 | 1.21962 | 0.609809 | − | 0.792548i | \(-0.291246\pi\) | ||||
0.609809 | + | 0.792548i | \(0.291246\pi\) | |||||||
\(564\) | −10.2320 | + | 17.7223i | −0.430845 | + | 0.746245i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.6202 | + | 27.0551i | −0.656568 | + | 1.13721i | ||||
\(567\) | −1.92403 | − | 3.33253i | −0.0808019 | − | 0.139953i | ||||
\(568\) | 10.3841 | + | 17.9857i | 0.435706 | + | 0.754664i | ||||
\(569\) | 38.8864 | 1.63020 | 0.815100 | − | 0.579320i | \(-0.196682\pi\) | ||||
0.815100 | + | 0.579320i | \(0.196682\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.1613 | 0.634480 | 0.317240 | − | 0.948345i | \(-0.397244\pi\) | ||||
0.317240 | + | 0.948345i | \(0.397244\pi\) | |||||||
\(572\) | −24.0029 | − | 41.5742i | −1.00361 | − | 1.73831i | ||||
\(573\) | −27.9607 | − | 48.4293i | −1.16807 | − | 2.02316i | ||||
\(574\) | −3.99820 | + | 6.92509i | −0.166882 | + | 0.289048i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 35.1707 | − | 60.9174i | 1.46544 | − | 2.53822i | ||||
\(577\) | 20.6412 | 0.859303 | 0.429651 | − | 0.902995i | \(-0.358636\pi\) | ||||
0.429651 | + | 0.902995i | \(0.358636\pi\) | |||||||
\(578\) | 22.5972 | 0.939918 | ||||||||
\(579\) | 1.52101 | − | 2.63447i | 0.0632111 | − | 0.109485i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.37852 | −0.0986778 | ||||||||
\(582\) | 16.1792 | 0.670649 | ||||||||
\(583\) | 12.3752 | − | 21.4344i | 0.512527 | − | 0.887723i | ||||
\(584\) | 6.48517 | + | 11.2326i | 0.268358 | + | 0.464810i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.85560 | − | 4.94604i | −0.117964 | − | 0.204319i | ||||
\(587\) | −3.58942 | − | 6.21706i | −0.148151 | − | 0.256606i | 0.782393 | − | 0.622785i | \(-0.213999\pi\) |
−0.930544 | + | 0.366180i | \(0.880666\pi\) | |||||||
\(588\) | −53.1829 | −2.19323 | ||||||||
\(589\) | 15.4289 | + | 25.3808i | 0.635738 | + | 1.04580i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 27.3808 | + | 47.4250i | 1.12630 | + | 1.95080i | ||||
\(592\) | −5.01448 | − | 8.68533i | −0.206094 | − | 0.356965i | ||||
\(593\) | −18.3743 | + | 31.8253i | −0.754543 | + | 1.30691i | 0.191058 | + | 0.981579i | \(0.438808\pi\) |
−0.945601 | + | 0.325328i | \(0.894525\pi\) | |||||||
\(594\) | −22.4277 | − | 38.8459i | −0.920219 | − | 1.59387i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 8.72413 | 0.357354 | ||||||||
\(597\) | 66.8107 | 2.73438 | ||||||||
\(598\) | −21.6174 | + | 37.4425i | −0.884002 | + | 1.53114i | ||||
\(599\) | 0.926876 | − | 1.60540i | 0.0378711 | − | 0.0655947i | −0.846469 | − | 0.532439i | \(-0.821276\pi\) |
0.884340 | + | 0.466844i | \(0.154609\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −38.1633 | −1.55671 | −0.778356 | − | 0.627823i | \(-0.783946\pi\) | ||||
−0.778356 | + | 0.627823i | \(0.783946\pi\) | |||||||
\(602\) | −2.79899 | + | 4.84800i | −0.114078 | + | 0.197590i | ||||
\(603\) | −12.2912 | − | 21.2890i | −0.500536 | − | 0.866954i | ||||
\(604\) | 15.0671 | − | 26.0969i | 0.613070 | − | 1.06187i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −4.43755 | − | 7.68606i | −0.180263 | − | 0.312225i | ||||
\(607\) | 7.44914 | 0.302351 | 0.151176 | − | 0.988507i | \(-0.451694\pi\) | ||||
0.151176 | + | 0.988507i | \(0.451694\pi\) | |||||||
\(608\) | −33.0696 | + | 0.747755i | −1.34115 | + | 0.0303255i | ||||
\(609\) | 12.3118 | 0.498901 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.78523 | − | 15.2165i | −0.355412 | − | 0.615592i | ||||
\(612\) | 40.5238 | − | 70.1893i | 1.63808 | − | 2.83723i | ||||
\(613\) | 10.6049 | + | 18.3682i | 0.428326 | + | 0.741883i | 0.996725 | − | 0.0808706i | \(-0.0257700\pi\) |
−0.568398 | + | 0.822754i | \(0.692437\pi\) | |||||||
\(614\) | 18.2560 | − | 31.6203i | 0.736753 | − | 1.27609i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.34980 | 0.0946760 | ||||||||
\(617\) | 15.4076 | − | 26.6868i | 0.620287 | − | 1.07437i | −0.369145 | − | 0.929372i | \(-0.620349\pi\) |
0.989432 | − | 0.144997i | \(-0.0463172\pi\) | |||||||
\(618\) | −0.534164 | + | 0.925199i | −0.0214872 | + | 0.0372170i | ||||
\(619\) | 7.32036 | 0.294230 | 0.147115 | − | 0.989119i | \(-0.453001\pi\) | ||||
0.147115 | + | 0.989119i | \(0.453001\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.6205 | + | 20.1273i | −0.466314 | + | 0.807680i | ||||
\(622\) | 19.8859 | + | 34.4434i | 0.797352 | + | 1.38105i | ||||
\(623\) | −1.09937 | + | 1.90416i | −0.0440452 | + | 0.0762885i | ||||
\(624\) | 21.0638 | + | 36.4836i | 0.843228 | + | 1.46051i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −51.0086 | −2.03871 | ||||||||
\(627\) | −15.9470 | + | 29.1222i | −0.636862 | + | 1.16303i | ||||
\(628\) | 58.0638 | 2.31700 | ||||||||
\(629\) | −12.6322 | − | 21.8797i | −0.503680 | − | 0.872399i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.25414 | + | 3.90429i | −0.0897360 | + | 0.155427i | −0.907399 | − | 0.420269i | \(-0.861936\pi\) |
0.817664 | + | 0.575696i | \(0.195269\pi\) | |||||||
\(632\) | −4.51953 | − | 7.82805i | −0.179777 | − | 0.311383i | ||||
\(633\) | −18.3600 | + | 31.8005i | −0.729746 | + | 1.26396i | ||||
\(634\) | −8.42762 | −0.334704 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 38.3536 | − | 66.4305i | 1.52082 | − | 2.63414i | ||||
\(637\) | 22.8315 | − | 39.5454i | 0.904618 | − | 1.56685i | ||||
\(638\) | 39.4780 | 1.56295 | ||||||||
\(639\) | −77.0928 | −3.04975 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.48158 | + | 14.6905i | 0.335002 | + | 0.580241i | 0.983485 | − | 0.180988i | \(-0.0579296\pi\) |
−0.648483 | + | 0.761229i | \(0.724596\pi\) | |||||||
\(642\) | 14.4685 | − | 25.0602i | 0.571026 | − | 0.989046i | ||||
\(643\) | −4.64306 | − | 8.04202i | −0.183104 | − | 0.317146i | 0.759832 | − | 0.650120i | \(-0.225281\pi\) |
−0.942936 | + | 0.332974i | \(0.891948\pi\) | |||||||
\(644\) | −2.32530 | − | 4.02753i | −0.0916295 | − | 0.158707i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −49.5132 | + | 1.11957i | −1.94807 | + | 0.0440489i | ||||
\(647\) | 39.2779 | 1.54418 | 0.772088 | − | 0.635516i | \(-0.219213\pi\) | ||||
0.772088 | + | 0.635516i | \(0.219213\pi\) | |||||||
\(648\) | −5.00567 | − | 8.67007i | −0.196641 | − | 0.340593i | ||||
\(649\) | 3.77317 | + | 6.53533i | 0.148110 | + | 0.256534i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.95013 | + | 10.3059i | 0.233204 | + | 0.403921i | ||||
\(652\) | −13.9702 | + | 24.1972i | −0.547116 | + | 0.947634i | ||||
\(653\) | 26.5513 | 1.03903 | 0.519517 | − | 0.854460i | \(-0.326112\pi\) | ||||
0.519517 | + | 0.854460i | \(0.326112\pi\) | |||||||
\(654\) | −68.6018 | −2.68254 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 6.47246 | − | 11.2106i | 0.252707 | − | 0.437702i | ||||
\(657\) | −48.1469 | −1.87839 | ||||||||
\(658\) | 3.28518 | 0.128069 | ||||||||
\(659\) | −16.3143 | + | 28.2573i | −0.635517 | + | 1.10075i | 0.350889 | + | 0.936417i | \(0.385880\pi\) |
−0.986405 | + | 0.164330i | \(0.947454\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.13332 | + | 5.42707i | −0.121872 | + | 0.211088i | −0.920506 | − | 0.390729i | \(-0.872223\pi\) |
0.798634 | + | 0.601817i | \(0.205556\pi\) | |||||||
\(662\) | −3.53530 | − | 6.12332i | −0.137403 | − | 0.237989i | ||||
\(663\) | 53.0629 | + | 91.9077i | 2.06079 | + | 3.56940i | ||||
\(664\) | −6.18809 | −0.240145 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −59.8297 | −2.31836 | ||||||||
\(667\) | −10.2274 | − | 17.7143i | −0.396006 | − | 0.685902i | ||||
\(668\) | −8.81442 | − | 15.2670i | −0.341040 | − | 0.590699i | ||||
\(669\) | 28.2983 | − | 49.0141i | 1.09408 | − | 1.89499i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.00844 | + | 5.21077i | −0.116140 | + | 0.201160i | ||||
\(672\) | −13.2527 | −0.511235 | ||||||||
\(673\) | −7.39044 | −0.284881 | −0.142440 | − | 0.989803i | \(-0.545495\pi\) | ||||
−0.142440 | + | 0.989803i | \(0.545495\pi\) | |||||||
\(674\) | 24.0850 | − | 41.7165i | 0.927721 | − | 1.60686i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 92.5238 | 3.55861 | ||||||||
\(677\) | −20.2751 | −0.779234 | −0.389617 | − | 0.920977i | \(-0.627393\pi\) | ||||
−0.389617 | + | 0.920977i | \(0.627393\pi\) | |||||||
\(678\) | −42.2994 | + | 73.2648i | −1.62450 | + | 2.81372i | ||||
\(679\) | −0.747127 | − | 1.29406i | −0.0286721 | − | 0.0496615i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 39.1431 | + | 67.7978i | 1.49997 | + | 2.59802i | ||||
\(682\) | 19.0791 | + | 33.0460i | 0.730577 | + | 1.26540i | ||||
\(683\) | 24.6563 | 0.943448 | 0.471724 | − | 0.881746i | \(-0.343632\pi\) | ||||
0.471724 | + | 0.881746i | \(0.343632\pi\) | |||||||
\(684\) | −32.4076 | + | 59.1822i | −1.23914 | + | 2.26289i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 8.76238 | + | 15.1769i | 0.334549 | + | 0.579456i | ||||
\(687\) | 13.0034 | + | 22.5225i | 0.496109 | + | 0.859286i | ||||
\(688\) | 4.53113 | − | 7.84815i | 0.172748 | − | 0.299208i | ||||
\(689\) | 32.9306 | + | 57.0374i | 1.25456 | + | 2.17295i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.7299 | −1.58748 | −0.793739 | − | 0.608258i | \(-0.791869\pi\) | ||||
−0.793739 | + | 0.608258i | \(0.791869\pi\) | |||||||
\(692\) | 16.9615 | 0.644781 | ||||||||
\(693\) | −4.36131 | + | 7.55402i | −0.165673 | + | 0.286953i | ||||
\(694\) | 3.24922 | − | 5.62782i | 0.123339 | − | 0.213629i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 32.0311 | 1.21414 | ||||||||
\(697\) | 16.3051 | − | 28.2413i | 0.617600 | − | 1.06971i | ||||
\(698\) | −16.4283 | − | 28.4546i | −0.621819 | − | 1.07702i | ||||
\(699\) | 6.65991 | − | 11.5353i | 0.251901 | − | 0.436305i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.60840 | + | 6.24993i | 0.136287 | + | 0.236057i | 0.926089 | − | 0.377306i | \(-0.123150\pi\) |
−0.789801 | + | 0.613363i | \(0.789816\pi\) | |||||||
\(702\) | 119.361 | 4.50500 | ||||||||
\(703\) | 10.9258 | + | 17.9730i | 0.412073 | + | 0.677865i | ||||
\(704\) | −31.7686 | −1.19732 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 37.3655 | + | 64.7190i | 1.40627 | + | 2.43573i | ||||
\(707\) | −0.409836 | + | 0.709857i | −0.0154135 | + | 0.0266969i | ||||
\(708\) | 11.6940 | + | 20.2546i | 0.439487 | + | 0.761213i | ||||
\(709\) | 10.3172 | − | 17.8700i | 0.387472 | − | 0.671122i | −0.604636 | − | 0.796502i | \(-0.706682\pi\) |
0.992109 | + | 0.125380i | \(0.0400149\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 33.5536 | 1.25836 | ||||||||
\(712\) | −2.86017 | + | 4.95396i | −0.107189 | + | 0.185657i | ||||
\(713\) | 9.88549 | − | 17.1222i | 0.370214 | − | 0.641230i | ||||
\(714\) | −19.8425 | −0.742587 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −31.4131 | + | 54.4091i | −1.17396 | + | 2.03336i | ||||
\(717\) | 11.5482 | + | 20.0021i | 0.431275 | + | 0.746991i | ||||
\(718\) | −3.43232 | + | 5.94495i | −0.128093 | + | 0.221864i | ||||
\(719\) | −0.748958 | − | 1.29723i | −0.0279314 | − | 0.0483787i | 0.851722 | − | 0.523994i | \(-0.175559\pi\) |
−0.879653 | + | 0.475616i | \(0.842225\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0986670 | 0.00367455 | ||||||||
\(722\) | 41.1895 | − | 1.86367i | 1.53291 | − | 0.0693585i | ||||
\(723\) | 80.7024 | 3.00136 | ||||||||
\(724\) | 4.33344 | + | 7.50574i | 0.161051 | + | 0.278949i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 13.9047 | − | 24.0837i | 0.516052 | − | 0.893828i | ||||
\(727\) | 5.68222 | + | 9.84190i | 0.210742 | + | 0.365016i | 0.951947 | − | 0.306263i | \(-0.0990787\pi\) |
−0.741205 | + | 0.671279i | \(0.765745\pi\) | |||||||
\(728\) | −3.12643 | + | 5.41514i | −0.115873 | + | 0.200698i | ||||
\(729\) | −33.7723 | −1.25083 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 11.4146 | − | 19.7707i | 0.422184 | − | 0.731244i | ||||
\(732\) | −9.32389 | + | 16.1494i | −0.344621 | + | 0.596901i | ||||
\(733\) | 45.6910 | 1.68764 | 0.843818 | − | 0.536630i | \(-0.180303\pi\) | ||||
0.843818 | + | 0.536630i | \(0.180303\pi\) | |||||||
\(734\) | 46.5570 | 1.71845 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.0090 | + | 19.0681i | 0.405796 | + | 0.702859i | ||||
\(737\) | −5.55113 | + | 9.61484i | −0.204479 | + | 0.354167i | ||||
\(738\) | −38.6127 | − | 66.8792i | −1.42135 | − | 2.46186i | ||||
\(739\) | 1.78276 | + | 3.08783i | 0.0655799 | + | 0.113588i | 0.896951 | − | 0.442130i | \(-0.145777\pi\) |
−0.831371 | + | 0.555718i | \(0.812444\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −45.8947 | − | 75.4975i | −1.68599 | − | 2.77347i | ||||
\(742\) | −12.3142 | −0.452067 | ||||||||
\(743\) | −21.2482 | − | 36.8030i | −0.779522 | − | 1.35017i | −0.932218 | − | 0.361898i | \(-0.882129\pi\) |
0.152696 | − | 0.988273i | \(-0.451205\pi\) | |||||||
\(744\) | 15.4802 | + | 26.8125i | 0.567531 | + | 0.982992i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 35.9786 | + | 62.3168i | 1.31727 | + | 2.28158i | ||||
\(747\) | 11.4853 | − | 19.8932i | 0.420226 | − | 0.727853i | ||||
\(748\) | −36.6039 | −1.33837 | ||||||||
\(749\) | −2.67252 | −0.0976516 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.38588 | − | 11.0607i | 0.233024 | − | 0.403610i | −0.725672 | − | 0.688040i | \(-0.758471\pi\) |
0.958697 | + | 0.284431i | \(0.0918045\pi\) | |||||||
\(752\) | −5.31818 | −0.193934 | ||||||||
\(753\) | −47.9317 | −1.74673 | ||||||||
\(754\) | −52.5259 | + | 90.9775i | −1.91288 | + | 3.31320i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −6.41960 | + | 11.1191i | −0.233478 | + | 0.404396i | ||||
\(757\) | 5.67306 | + | 9.82603i | 0.206191 | + | 0.357133i | 0.950512 | − | 0.310689i | \(-0.100560\pi\) |
−0.744321 | + | 0.667822i | \(0.767227\pi\) | |||||||
\(758\) | 15.3693 | + | 26.6203i | 0.558237 | + | 0.966894i | ||||
\(759\) | 22.1007 | 0.802206 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.9214 | −1.33840 | −0.669199 | − | 0.743083i | \(-0.733363\pi\) | ||||
−0.669199 | + | 0.743083i | \(0.733363\pi\) | |||||||
\(762\) | −5.51417 | − | 9.55082i | −0.199757 | − | 0.345990i | ||||
\(763\) | 3.16791 | + | 5.48698i | 0.114686 | + | 0.198642i | ||||
\(764\) | −25.6627 | + | 44.4491i | −0.928444 | + | 1.60811i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −11.7410 | + | 20.3359i | −0.424218 | + | 0.734767i | ||||
\(767\) | −20.0810 | −0.725083 | ||||||||
\(768\) | −1.23551 | −0.0445827 | ||||||||
\(769\) | −14.2528 | + | 24.6866i | −0.513971 | + | 0.890223i | 0.485898 | + | 0.874015i | \(0.338493\pi\) |
−0.999869 | + | 0.0162076i | \(0.994841\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −26.9904 | −0.972036 | ||||||||
\(772\) | −2.79201 | −0.100487 | ||||||||
\(773\) | 7.60956 | − | 13.1801i | 0.273697 | − | 0.474057i | −0.696109 | − | 0.717936i | \(-0.745087\pi\) |
0.969805 | + | 0.243880i | \(0.0784202\pi\) | |||||||
\(774\) | −27.0314 | − | 46.8197i | −0.971622 | − | 1.68290i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −1.94376 | − | 3.36670i | −0.0697770 | − | 0.120857i | ||||
\(777\) | 4.21350 | + | 7.29799i | 0.151158 | + | 0.261814i | ||||
\(778\) |