Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (of order \(4\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 638.7 | ||
Character | \(\chi\) | \(=\) | 735.638 |
Dual form | 735.2.j.g.197.7 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.218381 | + | 0.218381i | 0.154419 | + | 0.154419i | 0.780088 | − | 0.625670i | \(-0.215174\pi\) |
−0.625670 | + | 0.780088i | \(0.715174\pi\) | |||||||
\(3\) | −1.69540 | + | 0.354425i | −0.978840 | + | 0.204628i | ||||
\(4\) | − | 1.90462i | − | 0.952310i | ||||||
\(5\) | −2.16448 | − | 0.561256i | −0.967987 | − | 0.251001i | ||||
\(6\) | −0.447643 | − | 0.292843i | −0.182749 | − | 0.119553i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0.852694 | − | 0.852694i | 0.301473 | − | 0.301473i | ||||
\(9\) | 2.74877 | − | 1.20179i | 0.916255 | − | 0.400595i | ||||
\(10\) | −0.350114 | − | 0.595249i | −0.110716 | − | 0.188234i | ||||
\(11\) | − | 0.762466i | − | 0.229892i | −0.993372 | − | 0.114946i | \(-0.963330\pi\) | ||
0.993372 | − | 0.114946i | \(-0.0366695\pi\) | |||||||
\(12\) | 0.675045 | + | 3.22909i | 0.194869 | + | 0.932159i | ||||
\(13\) | −2.27077 | − | 2.27077i | −0.629797 | − | 0.629797i | 0.318220 | − | 0.948017i | \(-0.396915\pi\) |
−0.948017 | + | 0.318220i | \(0.896915\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.86859 | + | 0.184406i | 0.998866 | + | 0.0476133i | ||||
\(16\) | −3.43682 | −0.859204 | ||||||||
\(17\) | 3.43677 | + | 3.43677i | 0.833539 | + | 0.833539i | 0.987999 | − | 0.154460i | \(-0.0493638\pi\) |
−0.154460 | + | 0.987999i | \(0.549364\pi\) | |||||||
\(18\) | 0.862724 | + | 0.337831i | 0.203346 | + | 0.0796275i | ||||
\(19\) | − | 1.63691i | − | 0.375533i | −0.982214 | − | 0.187767i | \(-0.939875\pi\) | ||
0.982214 | − | 0.187767i | \(-0.0601248\pi\) | |||||||
\(20\) | −1.06898 | + | 4.12252i | −0.239031 | + | 0.921823i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.166508 | − | 0.166508i | 0.0354996 | − | 0.0354996i | ||||
\(23\) | −5.40988 | + | 5.40988i | −1.12804 | + | 1.12804i | −0.137542 | + | 0.990496i | \(0.543920\pi\) |
−0.990496 | + | 0.137542i | \(0.956080\pi\) | |||||||
\(24\) | −1.14344 | + | 1.74787i | −0.233404 | + | 0.356783i | ||||
\(25\) | 4.36998 | + | 2.42966i | 0.873997 | + | 0.485932i | ||||
\(26\) | − | 0.991783i | − | 0.194505i | ||||||
\(27\) | −4.23432 | + | 3.01174i | −0.814894 | + | 0.579610i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.94251 | −0.917801 | −0.458900 | − | 0.888488i | \(-0.651757\pi\) | ||||
−0.458900 | + | 0.888488i | \(0.651757\pi\) | |||||||
\(30\) | 0.804555 | + | 0.885097i | 0.146891 | + | 0.161596i | ||||
\(31\) | −5.92827 | −1.06475 | −0.532374 | − | 0.846509i | \(-0.678700\pi\) | ||||
−0.532374 | + | 0.846509i | \(0.678700\pi\) | |||||||
\(32\) | −2.45592 | − | 2.45592i | −0.434150 | − | 0.434150i | ||||
\(33\) | 0.270237 | + | 1.29269i | 0.0470423 | + | 0.225028i | ||||
\(34\) | 1.50105i | 0.257428i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.28894 | − | 5.23535i | −0.381491 | − | 0.872559i | ||||
\(37\) | −2.50059 | + | 2.50059i | −0.411095 | + | 0.411095i | −0.882120 | − | 0.471025i | \(-0.843884\pi\) |
0.471025 | + | 0.882120i | \(0.343884\pi\) | |||||||
\(38\) | 0.357470 | − | 0.357470i | 0.0579893 | − | 0.0579893i | ||||
\(39\) | 4.65467 | + | 3.04504i | 0.745344 | + | 0.487597i | ||||
\(40\) | −2.32422 | + | 1.36706i | −0.367492 | + | 0.216152i | ||||
\(41\) | 4.35963i | 0.680860i | 0.940270 | + | 0.340430i | \(0.110573\pi\) | ||||
−0.940270 | + | 0.340430i | \(0.889427\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.69037 | + | 2.69037i | 0.410277 | + | 0.410277i | 0.881835 | − | 0.471558i | \(-0.156308\pi\) |
−0.471558 | + | 0.881835i | \(0.656308\pi\) | |||||||
\(44\) | −1.45221 | −0.218929 | ||||||||
\(45\) | −6.62417 | + | 1.05849i | −0.987473 | + | 0.157790i | ||||
\(46\) | −2.36283 | −0.348380 | ||||||||
\(47\) | 3.03177 | + | 3.03177i | 0.442230 | + | 0.442230i | 0.892761 | − | 0.450531i | \(-0.148765\pi\) |
−0.450531 | + | 0.892761i | \(0.648765\pi\) | |||||||
\(48\) | 5.82678 | − | 1.21809i | 0.841023 | − | 0.175817i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.423730 | + | 1.48491i | 0.0599244 | + | 0.209998i | ||||
\(51\) | −7.04478 | − | 4.60862i | −0.986466 | − | 0.645336i | ||||
\(52\) | −4.32494 | + | 4.32494i | −0.599762 | + | 0.599762i | ||||
\(53\) | −4.91465 | + | 4.91465i | −0.675080 | + | 0.675080i | −0.958883 | − | 0.283803i | \(-0.908404\pi\) |
0.283803 | + | 0.958883i | \(0.408404\pi\) | |||||||
\(54\) | −1.58240 | − | 0.266987i | −0.215337 | − | 0.0363323i | ||||
\(55\) | −0.427939 | + | 1.65035i | −0.0577032 | + | 0.222533i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.580162 | + | 2.77522i | 0.0768444 | + | 0.367587i | ||||
\(58\) | −1.07935 | − | 1.07935i | −0.141725 | − | 0.141725i | ||||
\(59\) | −7.69002 | −1.00115 | −0.500577 | − | 0.865692i | \(-0.666879\pi\) | ||||
−0.500577 | + | 0.865692i | \(0.666879\pi\) | |||||||
\(60\) | 0.351222 | − | 7.36819i | 0.0453426 | − | 0.951230i | ||||
\(61\) | 4.39397 | 0.562591 | 0.281295 | − | 0.959621i | \(-0.409236\pi\) | ||||
0.281295 | + | 0.959621i | \(0.409236\pi\) | |||||||
\(62\) | −1.29462 | − | 1.29462i | −0.164417 | − | 0.164417i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.80098i | 0.725122i | ||||||||
\(65\) | 3.64056 | + | 6.18952i | 0.451555 | + | 0.767715i | ||||
\(66\) | −0.223283 | + | 0.341312i | −0.0274842 | + | 0.0420126i | ||||
\(67\) | 0.0345049 | − | 0.0345049i | 0.00421544 | − | 0.00421544i | −0.704996 | − | 0.709211i | \(-0.749051\pi\) |
0.709211 | + | 0.704996i | \(0.249051\pi\) | |||||||
\(68\) | 6.54574 | − | 6.54574i | 0.793787 | − | 0.793787i | ||||
\(69\) | 7.25451 | − | 11.0893i | 0.873341 | − | 1.33500i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 12.4172i | − | 1.47365i | −0.676082 | − | 0.736826i | \(-0.736324\pi\) | ||
0.676082 | − | 0.736826i | \(-0.263676\pi\) | |||||||
\(72\) | 1.31910 | − | 3.36861i | 0.155457 | − | 0.396995i | ||||
\(73\) | 0.981264 | + | 0.981264i | 0.114848 | + | 0.114848i | 0.762195 | − | 0.647347i | \(-0.224122\pi\) |
−0.647347 | + | 0.762195i | \(0.724122\pi\) | |||||||
\(74\) | −1.09216 | −0.126961 | ||||||||
\(75\) | −8.27000 | − | 2.57041i | −0.954938 | − | 0.296806i | ||||
\(76\) | −3.11769 | −0.357624 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.351513 | + | 1.68147i | 0.0398010 | + | 0.190389i | ||||
\(79\) | 4.23554i | 0.476535i | 0.971200 | + | 0.238268i | \(0.0765795\pi\) | ||||
−0.971200 | + | 0.238268i | \(0.923420\pi\) | |||||||
\(80\) | 7.43893 | + | 1.92893i | 0.831698 | + | 0.215661i | ||||
\(81\) | 6.11142 | − | 6.60685i | 0.679047 | − | 0.734095i | ||||
\(82\) | −0.952060 | + | 0.952060i | −0.105137 | + | 0.105137i | ||||
\(83\) | −5.05351 | + | 5.05351i | −0.554695 | + | 0.554695i | −0.927792 | − | 0.373097i | \(-0.878296\pi\) |
0.373097 | + | 0.927792i | \(0.378296\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.50993 | − | 9.36774i | −0.597635 | − | 1.01607i | ||||
\(86\) | 1.17505i | 0.126709i | ||||||||
\(87\) | 8.37953 | − | 1.75175i | 0.898380 | − | 0.187807i | ||||
\(88\) | −0.650150 | − | 0.650150i | −0.0693062 | − | 0.0693062i | ||||
\(89\) | 0.907199 | 0.0961629 | 0.0480815 | − | 0.998843i | \(-0.484689\pi\) | ||||
0.0480815 | + | 0.998843i | \(0.484689\pi\) | |||||||
\(90\) | −1.67774 | − | 1.21544i | −0.176850 | − | 0.128118i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 10.3038 | + | 10.3038i | 1.07424 | + | 1.07424i | ||||
\(93\) | 10.0508 | − | 2.10113i | 1.04222 | − | 0.217877i | ||||
\(94\) | 1.32416i | 0.136577i | ||||||||
\(95\) | −0.918726 | + | 3.54307i | −0.0942593 | + | 0.363511i | ||||
\(96\) | 5.03421 | + | 3.29333i | 0.513802 | + | 0.336124i | ||||
\(97\) | 3.73061 | − | 3.73061i | 0.378786 | − | 0.378786i | −0.491878 | − | 0.870664i | \(-0.663689\pi\) |
0.870664 | + | 0.491878i | \(0.163689\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.916321 | − | 2.09584i | −0.0920937 | − | 0.210640i | ||||
\(100\) | 4.62758 | − | 8.32316i | 0.462758 | − | 0.832316i | ||||
\(101\) | − | 18.9884i | − | 1.88942i | −0.327913 | − | 0.944708i | \(-0.606345\pi\) | ||
0.327913 | − | 0.944708i | \(-0.393655\pi\) | |||||||
\(102\) | −0.532010 | − | 2.54488i | −0.0526768 | − | 0.251981i | ||||
\(103\) | −8.93165 | − | 8.93165i | −0.880061 | − | 0.880061i | 0.113479 | − | 0.993540i | \(-0.463800\pi\) |
−0.993540 | + | 0.113479i | \(0.963800\pi\) | |||||||
\(104\) | −3.87254 | −0.379733 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.14653 | −0.208490 | ||||||||
\(107\) | −1.54196 | − | 1.54196i | −0.149066 | − | 0.149066i | 0.628634 | − | 0.777701i | \(-0.283614\pi\) |
−0.777701 | + | 0.628634i | \(0.783614\pi\) | |||||||
\(108\) | 5.73622 | + | 8.06476i | 0.551968 | + | 0.776032i | ||||
\(109\) | 2.35971i | 0.226020i | 0.993594 | + | 0.113010i | \(0.0360491\pi\) | ||||
−0.993594 | + | 0.113010i | \(0.963951\pi\) | |||||||
\(110\) | −0.453857 | + | 0.266950i | −0.0432736 | + | 0.0254527i | ||||
\(111\) | 3.35323 | − | 5.12578i | 0.318275 | − | 0.486517i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −11.9386 | + | 11.9386i | −1.12309 | + | 1.12309i | −0.131814 | + | 0.991274i | \(0.542080\pi\) |
−0.991274 | + | 0.131814i | \(0.957920\pi\) | |||||||
\(114\) | −0.479358 | + | 0.732751i | −0.0448960 | + | 0.0686284i | ||||
\(115\) | 14.7459 | − | 8.67327i | 1.37506 | − | 0.808787i | ||||
\(116\) | 9.41360i | 0.874031i | ||||||||
\(117\) | −8.97077 | − | 3.51283i | −0.829348 | − | 0.324761i | ||||
\(118\) | −1.67935 | − | 1.67935i | −0.154597 | − | 0.154597i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.45597 | − | 3.14148i | 0.315485 | − | 0.286777i | ||||
\(121\) | 10.4186 | 0.947150 | ||||||||
\(122\) | 0.959560 | + | 0.959560i | 0.0868744 | + | 0.0868744i | ||||
\(123\) | −1.54516 | − | 7.39132i | −0.139323 | − | 0.666453i | ||||
\(124\) | 11.2911i | 1.01397i | ||||||||
\(125\) | −8.09510 | − | 7.71164i | −0.724048 | − | 0.689750i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.46126 | − | 4.46126i | 0.395873 | − | 0.395873i | −0.480901 | − | 0.876775i | \(-0.659691\pi\) |
0.876775 | + | 0.480901i | \(0.159691\pi\) | |||||||
\(128\) | −6.17867 | + | 6.17867i | −0.546122 | + | 0.546122i | ||||
\(129\) | −5.51478 | − | 3.60772i | −0.485550 | − | 0.317642i | ||||
\(130\) | −0.556644 | + | 2.14670i | −0.0488209 | + | 0.188278i | ||||
\(131\) | 2.14947i | 0.187800i | 0.995582 | + | 0.0938999i | \(0.0299334\pi\) | ||||
−0.995582 | + | 0.0938999i | \(0.970067\pi\) | |||||||
\(132\) | 2.46207 | − | 0.514699i | 0.214296 | − | 0.0447988i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.0150704 | 0.00130188 | ||||||||
\(135\) | 10.8555 | − | 4.14233i | 0.934290 | − | 0.356515i | ||||
\(136\) | 5.86102 | 0.502579 | ||||||||
\(137\) | 6.23472 | + | 6.23472i | 0.532668 | + | 0.532668i | 0.921365 | − | 0.388698i | \(-0.127075\pi\) |
−0.388698 | + | 0.921365i | \(0.627075\pi\) | |||||||
\(138\) | 4.00594 | − | 0.837446i | 0.341008 | − | 0.0712881i | ||||
\(139\) | 10.3626i | 0.878941i | 0.898257 | + | 0.439471i | \(0.144834\pi\) | ||||
−0.898257 | + | 0.439471i | \(0.855166\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.21461 | − | 4.06553i | −0.523364 | − | 0.342380i | ||||
\(142\) | 2.71168 | − | 2.71168i | 0.227559 | − | 0.227559i | ||||
\(143\) | −1.73138 | + | 1.73138i | −0.144785 | + | 0.144785i | ||||
\(144\) | −9.44700 | + | 4.13031i | −0.787250 | + | 0.344193i | ||||
\(145\) | 10.6980 | + | 2.77401i | 0.888419 | + | 0.230369i | ||||
\(146\) | 0.428578i | 0.0354694i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.76267 | + | 4.76267i | 0.391489 | + | 0.391489i | ||||
\(149\) | −17.4543 | −1.42991 | −0.714957 | − | 0.699169i | \(-0.753554\pi\) | ||||
−0.714957 | + | 0.699169i | \(0.753554\pi\) | |||||||
\(150\) | −1.24468 | − | 2.36734i | −0.101628 | − | 0.193292i | ||||
\(151\) | −15.2157 | −1.23824 | −0.619119 | − | 0.785297i | \(-0.712510\pi\) | ||||
−0.619119 | + | 0.785297i | \(0.712510\pi\) | |||||||
\(152\) | −1.39578 | − | 1.39578i | −0.113213 | − | 0.113213i | ||||
\(153\) | 13.5771 | + | 5.31661i | 1.09765 | + | 0.429823i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.8316 | + | 3.32727i | 1.03066 | + | 0.267253i | ||||
\(156\) | 5.79964 | − | 8.86538i | 0.464343 | − | 0.709799i | ||||
\(157\) | 6.46046 | − | 6.46046i | 0.515601 | − | 0.515601i | −0.400636 | − | 0.916237i | \(-0.631211\pi\) |
0.916237 | + | 0.400636i | \(0.131211\pi\) | |||||||
\(158\) | −0.924960 | + | 0.924960i | −0.0735859 | + | 0.0735859i | ||||
\(159\) | 6.59043 | − | 10.0742i | 0.522655 | − | 0.798935i | ||||
\(160\) | 3.93740 | + | 6.69421i | 0.311279 | + | 0.529223i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.77743 | − | 0.108192i | 0.218215 | − | 0.00850040i | ||||
\(163\) | 1.91437 | + | 1.91437i | 0.149945 | + | 0.149945i | 0.778094 | − | 0.628148i | \(-0.216187\pi\) |
−0.628148 | + | 0.778094i | \(0.716187\pi\) | |||||||
\(164\) | 8.30344 | 0.648390 | ||||||||
\(165\) | 0.140603 | − | 2.94967i | 0.0109459 | − | 0.229631i | ||||
\(166\) | −2.20718 | −0.171310 | ||||||||
\(167\) | 3.85551 | + | 3.85551i | 0.298348 | + | 0.298348i | 0.840367 | − | 0.542018i | \(-0.182340\pi\) |
−0.542018 | + | 0.840367i | \(0.682340\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 2.68725i | − | 0.206712i | ||||||
\(170\) | 0.842472 | − | 3.24900i | 0.0646147 | − | 0.249187i | ||||
\(171\) | −1.96722 | − | 4.49948i | −0.150437 | − | 0.344084i | ||||
\(172\) | 5.12413 | − | 5.12413i | 0.390711 | − | 0.390711i | ||||
\(173\) | −0.935674 | + | 0.935674i | −0.0711380 | + | 0.0711380i | −0.741781 | − | 0.670643i | \(-0.766018\pi\) |
0.670643 | + | 0.741781i | \(0.266018\pi\) | |||||||
\(174\) | 2.21248 | + | 1.44738i | 0.167727 | + | 0.109726i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.62045i | 0.197524i | ||||||||
\(177\) | 13.0377 | − | 2.72554i | 0.979970 | − | 0.204864i | ||||
\(178\) | 0.198115 | + | 0.198115i | 0.0148493 | + | 0.0148493i | ||||
\(179\) | −0.241671 | −0.0180634 | −0.00903168 | − | 0.999959i | \(-0.502875\pi\) | ||||
−0.00903168 | + | 0.999959i | \(0.502875\pi\) | |||||||
\(180\) | 2.01601 | + | 12.6165i | 0.150265 | + | 0.940380i | ||||
\(181\) | 18.6864 | 1.38895 | 0.694475 | − | 0.719517i | \(-0.255637\pi\) | ||||
0.694475 | + | 0.719517i | \(0.255637\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.44955 | + | 1.55734i | −0.550686 | + | 0.115122i | ||||
\(184\) | 9.22594i | 0.680145i | ||||||||
\(185\) | 6.81596 | − | 4.00902i | 0.501119 | − | 0.294749i | ||||
\(186\) | 2.65374 | + | 1.73605i | 0.194582 | + | 0.127294i | ||||
\(187\) | 2.62042 | − | 2.62042i | 0.191624 | − | 0.191624i | ||||
\(188\) | 5.77437 | − | 5.77437i | 0.421140 | − | 0.421140i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.974370 | + | 0.573106i | −0.0706882 | + | 0.0415775i | ||||
\(191\) | − | 14.2410i | − | 1.03044i | −0.857058 | − | 0.515220i | \(-0.827710\pi\) | ||
0.857058 | − | 0.515220i | \(-0.172290\pi\) | |||||||
\(192\) | −2.05601 | − | 9.83498i | −0.148380 | − | 0.709779i | ||||
\(193\) | 4.81971 | + | 4.81971i | 0.346931 | + | 0.346931i | 0.858965 | − | 0.512034i | \(-0.171108\pi\) |
−0.512034 | + | 0.858965i | \(0.671108\pi\) | |||||||
\(194\) | 1.62939 | 0.116983 | ||||||||
\(195\) | −8.36592 | − | 9.20340i | −0.599096 | − | 0.659069i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.65626 | − | 7.65626i | −0.545486 | − | 0.545486i | 0.379646 | − | 0.925132i | \(-0.376046\pi\) |
−0.925132 | + | 0.379646i | \(0.876046\pi\) | |||||||
\(198\) | 0.257584 | − | 0.657798i | 0.0183057 | − | 0.0467477i | ||||
\(199\) | 16.3800i | 1.16115i | 0.814208 | + | 0.580573i | \(0.197172\pi\) | ||||
−0.814208 | + | 0.580573i | \(0.802828\pi\) | |||||||
\(200\) | 5.79801 | − | 1.65450i | 0.409981 | − | 0.116991i | ||||
\(201\) | −0.0462702 | + | 0.0707289i | −0.00326365 | + | 0.00498884i | ||||
\(202\) | 4.14670 | − | 4.14670i | 0.291761 | − | 0.291761i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −8.77767 | + | 13.4176i | −0.614560 | + | 0.939421i | ||||
\(205\) | 2.44687 | − | 9.43636i | 0.170897 | − | 0.659064i | ||||
\(206\) | − | 3.90100i | − | 0.271796i | ||||||
\(207\) | −8.36897 | + | 21.3720i | −0.581684 | + | 1.48546i | ||||
\(208\) | 7.80420 | + | 7.80420i | 0.541124 | + | 0.541124i | ||||
\(209\) | −1.24809 | −0.0863321 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.5028 | −1.75568 | −0.877842 | − | 0.478950i | \(-0.841018\pi\) | ||||
−0.877842 | + | 0.478950i | \(0.841018\pi\) | |||||||
\(212\) | 9.36055 | + | 9.36055i | 0.642885 | + | 0.642885i | ||||
\(213\) | 4.40097 | + | 21.0522i | 0.301550 | + | 1.44247i | ||||
\(214\) | − | 0.673467i | − | 0.0460372i | ||||||
\(215\) | −4.31327 | − | 7.33324i | −0.294163 | − | 0.500123i | ||||
\(216\) | −1.04248 | + | 6.17867i | −0.0709320 | + | 0.420405i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.515316 | + | 0.515316i | −0.0349016 | + | 0.0349016i | ||||
\(219\) | −2.01142 | − | 1.31585i | −0.135919 | − | 0.0889170i | ||||
\(220\) | 3.14328 | + | 0.815060i | 0.211920 | + | 0.0549513i | ||||
\(221\) | − | 15.6082i | − | 1.04992i | ||||||
\(222\) | 1.85165 | − | 0.387090i | 0.124275 | − | 0.0259798i | ||||
\(223\) | −15.4546 | − | 15.4546i | −1.03491 | − | 1.03491i | −0.999368 | − | 0.0355465i | \(-0.988683\pi\) |
−0.0355465 | − | 0.999368i | \(-0.511317\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.9320 | + | 1.42678i | 0.995466 | + | 0.0951186i | ||||
\(226\) | −5.21432 | −0.346851 | ||||||||
\(227\) | −9.08481 | − | 9.08481i | −0.602980 | − | 0.602980i | 0.338122 | − | 0.941102i | \(-0.390208\pi\) |
−0.941102 | + | 0.338122i | \(0.890208\pi\) | |||||||
\(228\) | 5.28574 | − | 1.10499i | 0.350056 | − | 0.0731797i | ||||
\(229\) | − | 15.3008i | − | 1.01110i | −0.862797 | − | 0.505551i | \(-0.831289\pi\) | ||
0.862797 | − | 0.505551i | \(-0.168711\pi\) | |||||||
\(230\) | 5.11430 | + | 1.32615i | 0.337227 | + | 0.0874438i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.21445 | + | 4.21445i | −0.276692 | + | 0.276692i | ||||
\(233\) | 4.85174 | − | 4.85174i | 0.317848 | − | 0.317848i | −0.530092 | − | 0.847940i | \(-0.677843\pi\) |
0.847940 | + | 0.530092i | \(0.177843\pi\) | |||||||
\(234\) | −1.19191 | − | 2.72618i | −0.0779176 | − | 0.178216i | ||||
\(235\) | −4.86062 | − | 8.26382i | −0.317072 | − | 0.539072i | ||||
\(236\) | 14.6466i | 0.953410i | ||||||||
\(237\) | −1.50118 | − | 7.18093i | −0.0975122 | − | 0.466452i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.7082 | −1.21013 | −0.605067 | − | 0.796174i | \(-0.706854\pi\) | ||||
−0.605067 | + | 0.796174i | \(0.706854\pi\) | |||||||
\(240\) | −13.2956 | − | 0.633768i | −0.858229 | − | 0.0409095i | ||||
\(241\) | −1.97213 | −0.127036 | −0.0635179 | − | 0.997981i | \(-0.520232\pi\) | ||||
−0.0635179 | + | 0.997981i | \(0.520232\pi\) | |||||||
\(242\) | 2.27523 | + | 2.27523i | 0.146257 | + | 0.146257i | ||||
\(243\) | −8.01967 | + | 13.3673i | −0.514462 | + | 0.857513i | ||||
\(244\) | − | 8.36885i | − | 0.535761i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.27669 | − | 1.95156i | 0.0813987 | − | 0.124427i | ||||
\(247\) | −3.71704 | + | 3.71704i | −0.236510 | + | 0.236510i | ||||
\(248\) | −5.05500 | + | 5.05500i | −0.320993 | + | 0.320993i | ||||
\(249\) | 6.77663 | − | 10.3588i | 0.429452 | − | 0.656463i | ||||
\(250\) | −0.0837410 | − | 3.45189i | −0.00529625 | − | 0.218317i | ||||
\(251\) | 17.9016i | 1.12994i | 0.825112 | + | 0.564970i | \(0.191112\pi\) | ||||
−0.825112 | + | 0.564970i | \(0.808888\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.12485 | + | 4.12485i | 0.259327 | + | 0.259327i | ||||
\(254\) | 1.94851 | 0.122260 | ||||||||
\(255\) | 12.6617 | + | 13.9292i | 0.792906 | + | 0.872281i | ||||
\(256\) | 8.90335 | 0.556460 | ||||||||
\(257\) | −13.9432 | − | 13.9432i | −0.869756 | − | 0.869756i | 0.122689 | − | 0.992445i | \(-0.460848\pi\) |
−0.992445 | + | 0.122689i | \(0.960848\pi\) | |||||||
\(258\) | −0.416467 | − | 1.99218i | −0.0259281 | − | 0.124028i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 11.7887 | − | 6.93387i | 0.731102 | − | 0.430021i | ||||
\(261\) | −13.5858 | + | 5.93984i | −0.840940 | + | 0.367667i | ||||
\(262\) | −0.469402 | + | 0.469402i | −0.0289998 | + | 0.0289998i | ||||
\(263\) | −3.92341 | + | 3.92341i | −0.241928 | + | 0.241928i | −0.817647 | − | 0.575719i | \(-0.804722\pi\) |
0.575719 | + | 0.817647i | \(0.304722\pi\) | |||||||
\(264\) | 1.33269 | + | 0.871835i | 0.0820217 | + | 0.0536577i | ||||
\(265\) | 13.3961 | − | 7.87931i | 0.822914 | − | 0.484022i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.53807 | + | 0.321534i | −0.0941281 | + | 0.0196776i | ||||
\(268\) | −0.0657186 | − | 0.0657186i | −0.00401440 | − | 0.00401440i | ||||
\(269\) | −10.0464 | −0.612541 | −0.306270 | − | 0.951945i | \(-0.599081\pi\) | ||||
−0.306270 | + | 0.951945i | \(0.599081\pi\) | |||||||
\(270\) | 3.27523 | + | 1.46602i | 0.199324 | + | 0.0892191i | ||||
\(271\) | −5.64055 | −0.342639 | −0.171320 | − | 0.985216i | \(-0.554803\pi\) | ||||
−0.171320 | + | 0.985216i | \(0.554803\pi\) | |||||||
\(272\) | −11.8115 | − | 11.8115i | −0.716180 | − | 0.716180i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.72309i | 0.164508i | ||||||||
\(275\) | 1.85253 | − | 3.33196i | 0.111712 | − | 0.200925i | ||||
\(276\) | −21.1209 | − | 13.8171i | −1.27133 | − | 0.831691i | ||||
\(277\) | 7.95130 | − | 7.95130i | 0.477747 | − | 0.477747i | −0.426663 | − | 0.904411i | \(-0.640311\pi\) |
0.904411 | + | 0.426663i | \(0.140311\pi\) | |||||||
\(278\) | −2.26299 | + | 2.26299i | −0.135725 | + | 0.135725i | ||||
\(279\) | −16.2954 | + | 7.12451i | −0.975581 | + | 0.426533i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 1.92831i | − | 0.115033i | −0.998345 | − | 0.0575167i | \(-0.981682\pi\) | ||
0.998345 | − | 0.0575167i | \(-0.0183183\pi\) | |||||||
\(282\) | −0.469316 | − | 2.24498i | −0.0279474 | − | 0.133687i | ||||
\(283\) | −18.6429 | − | 18.6429i | −1.10821 | − | 1.10821i | −0.993386 | − | 0.114822i | \(-0.963370\pi\) |
−0.114822 | − | 0.993386i | \(-0.536630\pi\) | |||||||
\(284\) | −23.6501 | −1.40337 | ||||||||
\(285\) | 0.301855 | − | 6.33254i | 0.0178804 | − | 0.375107i | ||||
\(286\) | −0.756201 | −0.0447151 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −9.70225 | − | 3.79926i | −0.571710 | − | 0.223874i | ||||
\(289\) | 6.62276i | 0.389574i | ||||||||
\(290\) | 1.73044 | + | 2.94203i | 0.101615 | + | 0.172762i | ||||
\(291\) | −5.00266 | + | 7.64711i | −0.293261 | + | 0.448281i | ||||
\(292\) | 1.86894 | − | 1.86894i | 0.109371 | − | 0.109371i | ||||
\(293\) | 7.83332 | − | 7.83332i | 0.457627 | − | 0.457627i | −0.440249 | − | 0.897876i | \(-0.645110\pi\) |
0.897876 | + | 0.440249i | \(0.145110\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.6449 | + | 4.31607i | 0.969105 | + | 0.251291i | ||||
\(296\) | 4.26448i | 0.247868i | ||||||||
\(297\) | 2.29635 | + | 3.22852i | 0.133248 | + | 0.187338i | ||||
\(298\) | −3.81169 | − | 3.81169i | −0.220805 | − | 0.220805i | ||||
\(299\) | 24.5691 | 1.42087 | ||||||||
\(300\) | −4.89566 | + | 15.7512i | −0.282651 | + | 0.909397i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −3.32282 | − | 3.32282i | −0.191207 | − | 0.191207i | ||||
\(303\) | 6.72997 | + | 32.1929i | 0.386627 | + | 1.84944i | ||||
\(304\) | 5.62576i | 0.322659i | ||||||||
\(305\) | −9.51069 | − | 2.46614i | −0.544580 | − | 0.141211i | ||||
\(306\) | 1.80394 | + | 4.12603i | 0.103124 | + | 0.235869i | ||||
\(307\) | −17.0769 | + | 17.0769i | −0.974628 | + | 0.974628i | −0.999686 | − | 0.0250576i | \(-0.992023\pi\) |
0.0250576 | + | 0.999686i | \(0.492023\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.3083 | + | 11.9771i | 1.04152 | + | 0.681354i | ||||
\(310\) | 2.07557 | + | 3.52880i | 0.117885 | + | 0.200422i | ||||
\(311\) | 23.6479i | 1.34095i | 0.741932 | + | 0.670475i | \(0.233910\pi\) | ||||
−0.741932 | + | 0.670475i | \(0.766090\pi\) | |||||||
\(312\) | 6.56550 | − | 1.37252i | 0.371698 | − | 0.0777039i | ||||
\(313\) | −8.75372 | − | 8.75372i | −0.494790 | − | 0.494790i | 0.415022 | − | 0.909812i | \(-0.363774\pi\) |
−0.909812 | + | 0.415022i | \(0.863774\pi\) | |||||||
\(314\) | 2.82168 | 0.159237 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.06709 | 0.453809 | ||||||||
\(317\) | 3.10591 | + | 3.10591i | 0.174445 | + | 0.174445i | 0.788929 | − | 0.614484i | \(-0.210636\pi\) |
−0.614484 | + | 0.788929i | \(0.710636\pi\) | |||||||
\(318\) | 3.63923 | − | 0.760785i | 0.204078 | − | 0.0426627i | ||||
\(319\) | 3.76850i | 0.210995i | ||||||||
\(320\) | 3.25583 | − | 12.5561i | 0.182007 | − | 0.701909i | ||||
\(321\) | 3.16074 | + | 2.06772i | 0.176415 | + | 0.115409i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.62568 | − | 5.62568i | 0.313021 | − | 0.313021i | ||||
\(324\) | −12.5835 | − | 11.6399i | −0.699086 | − | 0.646663i | ||||
\(325\) | −4.40602 | − | 15.4404i | −0.244402 | − | 0.856479i | ||||
\(326\) | 0.836125i | 0.0463087i | ||||||||
\(327\) | −0.836342 | − | 4.00066i | −0.0462498 | − | 0.221237i | ||||
\(328\) | 3.71743 | + | 3.71743i | 0.205261 | + | 0.205261i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.674856 | − | 0.613446i | 0.0371496 | − | 0.0337691i | ||||
\(331\) | −6.21866 | −0.341808 | −0.170904 | − | 0.985288i | \(-0.554669\pi\) | ||||
−0.170904 | + | 0.985288i | \(0.554669\pi\) | |||||||
\(332\) | 9.62501 | + | 9.62501i | 0.528241 | + | 0.528241i | ||||
\(333\) | −3.86836 | + | 9.87871i | −0.211985 | + | 0.541350i | ||||
\(334\) | 1.68394i | 0.0921411i | ||||||||
\(335\) | −0.0940513 | + | 0.0553192i | −0.00513857 | + | 0.00302241i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.0501 | − | 15.0501i | 0.819833 | − | 0.819833i | −0.166250 | − | 0.986084i | \(-0.553166\pi\) |
0.986084 | + | 0.166250i | \(0.0531659\pi\) | |||||||
\(338\) | 0.586844 | − | 0.586844i | 0.0319201 | − | 0.0319201i | ||||
\(339\) | 16.0094 | − | 24.4720i | 0.869509 | − | 1.32914i | ||||
\(340\) | −17.8420 | + | 10.4943i | −0.967617 | + | 0.569134i | ||||
\(341\) | 4.52010i | 0.244777i | ||||||||
\(342\) | 0.552999 | − | 1.41220i | 0.0299027 | − | 0.0763632i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.58812 | 0.247375 | ||||||||
\(345\) | −21.9262 | + | 19.9310i | −1.18047 | + | 1.07305i | ||||
\(346\) | −0.408667 | −0.0219701 | ||||||||
\(347\) | −13.6203 | − | 13.6203i | −0.731178 | − | 0.731178i | 0.239675 | − | 0.970853i | \(-0.422959\pi\) |
−0.970853 | + | 0.239675i | \(0.922959\pi\) | |||||||
\(348\) | −3.33642 | − | 15.9598i | −0.178851 | − | 0.855536i | ||||
\(349\) | 9.24369i | 0.494803i | 0.968913 | + | 0.247402i | \(0.0795767\pi\) | ||||
−0.968913 | + | 0.247402i | \(0.920423\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.4541 | + | 2.77618i | 0.878254 | + | 0.148182i | ||||
\(352\) | −1.87256 | + | 1.87256i | −0.0998076 | + | 0.0998076i | ||||
\(353\) | −8.35049 | + | 8.35049i | −0.444452 | + | 0.444452i | −0.893505 | − | 0.449053i | \(-0.851761\pi\) |
0.449053 | + | 0.893505i | \(0.351761\pi\) | |||||||
\(354\) | 3.44238 | + | 2.25197i | 0.182960 | + | 0.119691i | ||||
\(355\) | −6.96923 | + | 26.8769i | −0.369889 | + | 1.42648i | ||||
\(356\) | − | 1.72787i | − | 0.0915769i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.0527764 | − | 0.0527764i | −0.00278932 | − | 0.00278932i | ||||
\(359\) | 13.9626 | 0.736917 | 0.368459 | − | 0.929644i | \(-0.379886\pi\) | ||||
0.368459 | + | 0.929644i | \(0.379886\pi\) | |||||||
\(360\) | −4.74582 | + | 6.55095i | −0.250127 | + | 0.345265i | ||||
\(361\) | 16.3205 | 0.858975 | ||||||||
\(362\) | 4.08075 | + | 4.08075i | 0.214480 | + | 0.214480i | ||||
\(363\) | −17.6638 | + | 3.69263i | −0.927108 | + | 0.193813i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.57319 | − | 2.67467i | −0.0823446 | − | 0.139999i | ||||
\(366\) | −1.96693 | − | 1.28675i | −0.102813 | − | 0.0672593i | ||||
\(367\) | −10.6651 | + | 10.6651i | −0.556714 | + | 0.556714i | −0.928370 | − | 0.371657i | \(-0.878790\pi\) |
0.371657 | + | 0.928370i | \(0.378790\pi\) | |||||||
\(368\) | 18.5928 | − | 18.5928i | 0.969214 | − | 0.969214i | ||||
\(369\) | 5.23934 | + | 11.9836i | 0.272749 | + | 0.623842i | ||||
\(370\) | 2.36397 | + | 0.612982i | 0.122897 | + | 0.0318674i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4.00185 | − | 19.1429i | −0.207486 | − | 0.992515i | ||||
\(373\) | −24.6331 | − | 24.6331i | −1.27545 | − | 1.27545i | −0.943184 | − | 0.332271i | \(-0.892185\pi\) |
−0.332271 | − | 0.943184i | \(-0.607815\pi\) | |||||||
\(374\) | 1.14450 | 0.0591806 | ||||||||
\(375\) | 16.4576 | + | 10.2052i | 0.849869 | + | 0.526995i | ||||
\(376\) | 5.17035 | 0.266640 | ||||||||
\(377\) | 11.2233 | + | 11.2233i | 0.578028 | + | 0.578028i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 19.0602i | − | 0.979056i | −0.871988 | − | 0.489528i | \(-0.837169\pi\) | ||
0.871988 | − | 0.489528i | \(-0.162831\pi\) | |||||||
\(380\) | 6.74820 | + | 1.74982i | 0.346175 | + | 0.0897640i | ||||
\(381\) | −5.98244 | + | 9.14481i | −0.306490 | + | 0.468503i | ||||
\(382\) | 3.10996 | − | 3.10996i | 0.159119 | − | 0.159119i | ||||
\(383\) | −7.18147 | + | 7.18147i | −0.366956 | + | 0.366956i | −0.866366 | − | 0.499410i | \(-0.833550\pi\) |
0.499410 | + | 0.866366i | \(0.333550\pi\) | |||||||
\(384\) | 8.28544 | − | 12.6652i | 0.422815 | − | 0.646318i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.10507i | 0.107145i | ||||||||
\(387\) | 10.6284 | + | 4.16194i | 0.540274 | + | 0.211564i | ||||
\(388\) | −7.10540 | − | 7.10540i | −0.360722 | − | 0.360722i | ||||
\(389\) | 37.2580 | 1.88906 | 0.944528 | − | 0.328431i | \(-0.106520\pi\) | ||||
0.944528 | + | 0.328431i | \(0.106520\pi\) | |||||||
\(390\) | 0.182890 | − | 3.83680i | 0.00926101 | − | 0.194284i | ||||
\(391\) | −37.1850 | −1.88053 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.761825 | − | 3.64421i | −0.0384290 | − | 0.183826i | ||||
\(394\) | − | 3.34396i | − | 0.168466i | ||||||
\(395\) | 2.37722 | − | 9.16776i | 0.119611 | − | 0.461280i | ||||
\(396\) | −3.99178 | + | 1.74524i | −0.200594 | + | 0.0877017i | ||||
\(397\) | −6.28581 | + | 6.28581i | −0.315476 | + | 0.315476i | −0.847027 | − | 0.531551i | \(-0.821610\pi\) |
0.531551 | + | 0.847027i | \(0.321610\pi\) | |||||||
\(398\) | −3.57708 | + | 3.57708i | −0.179303 | + | 0.179303i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.0188 | − | 8.35029i | −0.750941 | − | 0.417514i | ||||
\(401\) | − | 4.65150i | − | 0.232285i | −0.993233 | − | 0.116142i | \(-0.962947\pi\) | ||
0.993233 | − | 0.116142i | \(-0.0370529\pi\) | |||||||
\(402\) | −0.0255504 | + | 0.00534133i | −0.00127434 | + | 0.000266401i | ||||
\(403\) | 13.4617 | + | 13.4617i | 0.670575 | + | 0.670575i | ||||
\(404\) | −36.1657 | −1.79931 | ||||||||
\(405\) | −16.9362 | + | 10.8704i | −0.841567 | + | 0.540152i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.90662 | + | 1.90662i | 0.0945074 | + | 0.0945074i | ||||
\(408\) | −9.93678 | + | 2.07729i | −0.491944 | + | 0.102841i | ||||
\(409\) | 26.5589i | 1.31325i | 0.754217 | + | 0.656626i | \(0.228017\pi\) | ||||
−0.754217 | + | 0.656626i | \(0.771983\pi\) | |||||||
\(410\) | 2.59507 | − | 1.52637i | 0.128161 | − | 0.0753820i | ||||
\(411\) | −12.7801 | − | 8.36060i | −0.630395 | − | 0.412398i | ||||
\(412\) | −17.0114 | + | 17.0114i | −0.838091 | + | 0.838091i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −6.49486 | + | 2.83961i | −0.319205 | + | 0.139559i | ||||
\(415\) | 13.7746 | − | 8.10193i | 0.676166 | − | 0.397708i | ||||
\(416\) | 11.1536i | 0.546852i | ||||||||
\(417\) | −3.67275 | − | 17.5687i | −0.179856 | − | 0.860343i | ||||
\(418\) | −0.272559 | − | 0.272559i | −0.0133313 | − | 0.0133313i | ||||
\(419\) | 25.8278 | 1.26177 | 0.630885 | − | 0.775876i | \(-0.282692\pi\) | ||||
0.630885 | + | 0.775876i | \(0.282692\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.432430 | 0.0210753 | 0.0105377 | − | 0.999944i | \(-0.496646\pi\) | ||||
0.0105377 | + | 0.999944i | \(0.496646\pi\) | |||||||
\(422\) | −5.56932 | − | 5.56932i | −0.271110 | − | 0.271110i | ||||
\(423\) | 11.9772 | + | 4.69009i | 0.582350 | + | 0.228040i | ||||
\(424\) | 8.38139i | 0.407036i | ||||||||
\(425\) | 6.66845 | + | 23.3688i | 0.323467 | + | 1.13355i | ||||
\(426\) | −3.63630 | + | 5.55847i | −0.176179 | + | 0.269309i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −2.93684 | + | 2.93684i | −0.141957 | + | 0.141957i | ||||
\(429\) | 2.32174 | − | 3.54903i | 0.112095 | − | 0.171349i | ||||
\(430\) | 0.659503 | − | 2.54338i | 0.0318041 | − | 0.122652i | ||||
\(431\) | − | 16.3117i | − | 0.785708i | −0.919601 | − | 0.392854i | \(-0.871488\pi\) | ||
0.919601 | − | 0.392854i | \(-0.128512\pi\) | |||||||
\(432\) | 14.5526 | − | 10.3508i | 0.700160 | − | 0.498003i | ||||
\(433\) | −0.514238 | − | 0.514238i | −0.0247127 | − | 0.0247127i | 0.694642 | − | 0.719355i | \(-0.255563\pi\) |
−0.719355 | + | 0.694642i | \(0.755563\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −19.1205 | − | 0.911426i | −0.916760 | − | 0.0436995i | ||||
\(436\) | 4.49436 | 0.215241 | ||||||||
\(437\) | 8.85549 | + | 8.85549i | 0.423615 | + | 0.423615i | ||||
\(438\) | −0.151899 | − | 0.726612i | −0.00725802 | − | 0.0347189i | ||||
\(439\) | 15.2983i | 0.730150i | 0.930978 | + | 0.365075i | \(0.118957\pi\) | ||||
−0.930978 | + | 0.365075i | \(0.881043\pi\) | |||||||
\(440\) | 1.04234 | + | 1.77214i | 0.0496916 | + | 0.0844835i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.40853 | − | 3.40853i | 0.162127 | − | 0.162127i | ||||
\(443\) | 6.45258 | − | 6.45258i | 0.306572 | − | 0.306572i | −0.537007 | − | 0.843578i | \(-0.680445\pi\) |
0.843578 | + | 0.537007i | \(0.180445\pi\) | |||||||
\(444\) | −9.76265 | − | 6.38663i | −0.463315 | − | 0.303096i | ||||
\(445\) | −1.96362 | − | 0.509171i | −0.0930845 | − | 0.0241370i | ||||
\(446\) | − | 6.74996i | − | 0.319620i | ||||||
\(447\) | 29.5921 | − | 6.18625i | 1.39966 | − | 0.292600i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.40891 | 0.444034 | 0.222017 | − | 0.975043i | \(-0.428736\pi\) | ||||
0.222017 | + | 0.975043i | \(0.428736\pi\) | |||||||
\(450\) | 2.94928 | + | 3.57244i | 0.139030 | + | 0.168406i | ||||
\(451\) | 3.32407 | 0.156524 | ||||||||
\(452\) | 22.7385 | + | 22.7385i | 1.06953 | + | 1.06953i | ||||
\(453\) | 25.7967 | − | 5.39284i | 1.21204 | − | 0.253378i | ||||
\(454\) | − | 3.96789i | − | 0.186222i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.86111 | + | 1.87171i | 0.133984 | + | 0.0876509i | ||||
\(457\) | −24.4154 | + | 24.4154i | −1.14210 | + | 1.14210i | −0.154038 | + | 0.988065i | \(0.549228\pi\) |
−0.988065 | + | 0.154038i | \(0.950772\pi\) | |||||||
\(458\) | 3.34139 | − | 3.34139i | 0.156133 | − | 0.156133i | ||||
\(459\) | −24.9030 | − | 4.20171i | −1.16237 | − | 0.196119i | ||||
\(460\) | −16.5193 | − | 28.0854i | −0.770216 | − | 1.30949i | ||||
\(461\) | − | 36.9326i | − | 1.72012i | −0.510192 | − | 0.860061i | \(-0.670426\pi\) | ||
0.510192 | − | 0.860061i | \(-0.329574\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 26.3687 | + | 26.3687i | 1.22546 | + | 1.22546i | 0.965664 | + | 0.259794i | \(0.0836548\pi\) |
0.259794 | + | 0.965664i | \(0.416345\pi\) | |||||||
\(464\) | 16.9865 | 0.788578 | ||||||||
\(465\) | −22.9340 | − | 1.09321i | −1.06354 | − | 0.0506962i | ||||
\(466\) | 2.11906 | 0.0981633 | ||||||||
\(467\) | 7.21204 | + | 7.21204i | 0.333733 | + | 0.333733i | 0.854002 | − | 0.520269i | \(-0.174168\pi\) |
−0.520269 | + | 0.854002i | \(0.674168\pi\) | |||||||
\(468\) | −6.69060 | + | 17.0859i | −0.309273 | + | 0.789797i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0.743194 | − | 2.86613i | 0.0342810 | − | 0.132205i | ||||
\(471\) | −8.66332 | + | 13.2428i | −0.399185 | + | 0.610197i | ||||
\(472\) | −6.55723 | + | 6.55723i | −0.301821 | + | 0.301821i | ||||
\(473\) | 2.05131 | − | 2.05131i | 0.0943195 | − | 0.0943195i | ||||
\(474\) | 1.24035 | − | 1.89601i | 0.0569711 | − | 0.0870865i | ||||
\(475\) | 3.97713 | − | 7.15327i | 0.182483 | − | 0.328215i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −7.60287 | + | 19.4156i | −0.348112 | + | 0.888979i | ||||
\(478\) | −4.08552 | − | 4.08552i | −0.186867 | − | 0.186867i | ||||
\(479\) | −13.7070 | −0.626289 | −0.313144 | − | 0.949706i | \(-0.601382\pi\) | ||||
−0.313144 | + | 0.949706i | \(0.601382\pi\) | |||||||
\(480\) | −9.04807 | − | 9.95384i | −0.412986 | − | 0.454329i | ||||
\(481\) | 11.3565 | 0.517812 | ||||||||
\(482\) | −0.430674 | − | 0.430674i | −0.0196167 | − | 0.0196167i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 19.8436i | − | 0.901980i | ||||||
\(485\) | −10.1687 | + | 5.98102i | −0.461736 | + | 0.271584i | ||||
\(486\) | −4.67051 | + | 1.16782i | −0.211858 | + | 0.0529734i | ||||
\(487\) | −16.1645 | + | 16.1645i | −0.732484 | + | 0.732484i | −0.971111 | − | 0.238627i | \(-0.923303\pi\) |
0.238627 | + | 0.971111i | \(0.423303\pi\) | |||||||
\(488\) | 3.74672 | − | 3.74672i | 0.169606 | − | 0.169606i | ||||
\(489\) | −3.92413 | − | 2.56713i | −0.177455 | − | 0.116090i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 23.7476i | − | 1.07172i | −0.844308 | − | 0.535858i | \(-0.819988\pi\) | ||
0.844308 | − | 0.535858i | \(-0.180012\pi\) | |||||||
\(492\) | −14.0777 | + | 2.94295i | −0.634670 | + | 0.132678i | ||||
\(493\) | −16.9863 | − | 16.9863i | −0.765023 | − | 0.765023i | ||||
\(494\) | −1.62346 | −0.0730429 | ||||||||
\(495\) | 0.807059 | + | 5.05070i | 0.0362746 | + | 0.227012i | ||||
\(496\) | 20.3744 | 0.914836 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.74205 | − | 0.782280i | 0.167685 | − | 0.0350548i | ||||
\(499\) | − | 3.23532i | − | 0.144833i | −0.997374 | − | 0.0724165i | \(-0.976929\pi\) | ||
0.997374 | − | 0.0724165i | \(-0.0230711\pi\) | |||||||
\(500\) | −14.6877 | + | 15.4181i | −0.656856 | + | 0.689518i | ||||
\(501\) | −7.90313 | − | 5.17015i | −0.353086 | − | 0.230985i | ||||
\(502\) | −3.90937 | + | 3.90937i | −0.174484 | + | 0.174484i | ||||
\(503\) | −2.62851 | + | 2.62851i | −0.117199 | + | 0.117199i | −0.763274 | − | 0.646075i | \(-0.776409\pi\) |
0.646075 | + | 0.763274i | \(0.276409\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.6573 | + | 41.1001i | −0.474246 | + | 1.82893i | ||||
\(506\) | 1.80158i | 0.0800898i | ||||||||
\(507\) | 0.952430 | + | 4.55597i | 0.0422989 | + | 0.202338i | ||||
\(508\) | −8.49701 | − | 8.49701i | −0.376994 | − | 0.376994i | ||||
\(509\) | −13.8238 | −0.612728 | −0.306364 | − | 0.951914i | \(-0.599113\pi\) | ||||
−0.306364 | + | 0.951914i | \(0.599113\pi\) | |||||||
\(510\) | −0.276802 | + | 5.80694i | −0.0122570 | + | 0.257136i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 14.3017 | + | 14.3017i | 0.632050 | + | 0.632050i | ||||
\(513\) | 4.92995 | + | 6.93120i | 0.217663 | + | 0.306020i | ||||
\(514\) | − | 6.08987i | − | 0.268613i | ||||||
\(515\) | 14.3195 | + | 24.3453i | 0.630991 | + | 1.07278i | ||||
\(516\) | −6.87133 | + | 10.5036i | −0.302493 | + | 0.462394i | ||||
\(517\) | 2.31162 | − | 2.31162i | 0.101665 | − | 0.101665i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.25472 | − | 1.91797i | 0.0550759 | − | 0.0841895i | ||||
\(520\) | 8.38204 | + | 2.17348i | 0.367577 | + | 0.0953135i | ||||
\(521\) | − | 10.9599i | − | 0.480162i | −0.970753 | − | 0.240081i | \(-0.922826\pi\) | ||
0.970753 | − | 0.240081i | \(-0.0771741\pi\) | |||||||
\(522\) | −4.26402 | − | 1.66973i | −0.186631 | − | 0.0730822i | ||||
\(523\) | 9.69371 | + | 9.69371i | 0.423876 | + | 0.423876i | 0.886536 | − | 0.462660i | \(-0.153105\pi\) |
−0.462660 | + | 0.886536i | \(0.653105\pi\) | |||||||
\(524\) | 4.09392 | 0.178844 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.71360 | −0.0747163 | ||||||||
\(527\) | −20.3741 | − | 20.3741i | −0.887509 | − | 0.887509i | ||||
\(528\) | −0.928755 | − | 4.44272i | −0.0404189 | − | 0.193345i | ||||
\(529\) | − | 35.5336i | − | 1.54494i | ||||||
\(530\) | 4.64614 | + | 1.20475i | 0.201815 | + | 0.0523312i | ||||
\(531\) | −21.1381 | + | 9.24175i | −0.917313 | + | 0.401058i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.89970 | − | 9.89970i | 0.428804 | − | 0.428804i | ||||
\(534\) | −0.406101 | − | 0.265667i | −0.0175737 | − | 0.0114965i | ||||
\(535\) | 2.47211 | + | 4.20297i | 0.106878 | + | 0.181710i | ||||
\(536\) | − | 0.0588442i | − | 0.00254168i | ||||||
\(537\) | 0.409730 | − | 0.0856544i | 0.0176811 | − | 0.00369626i | ||||
\(538\) | −2.19394 | − | 2.19394i | −0.0945876 | − | 0.0945876i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −7.88956 | − | 20.6755i | −0.339513 | − | 0.889733i | ||||
\(541\) | 7.06552 | 0.303770 | 0.151885 | − | 0.988398i | \(-0.451466\pi\) | ||||
0.151885 | + | 0.988398i | \(0.451466\pi\) | |||||||
\(542\) | −1.23179 | − | 1.23179i | −0.0529098 | − | 0.0529098i | ||||
\(543\) | −31.6809 | + | 6.62293i | −1.35956 | + | 0.284217i | ||||
\(544\) | − | 16.8809i | − | 0.723762i | ||||||
\(545\) | 1.32440 | − | 5.10756i | 0.0567312 | − | 0.218784i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.7665 | + | 19.7665i | −0.845154 | + | 0.845154i | −0.989524 | − | 0.144370i | \(-0.953885\pi\) |
0.144370 | + | 0.989524i | \(0.453885\pi\) | |||||||
\(548\) | 11.8748 | − | 11.8748i | 0.507265 | − | 0.507265i | ||||
\(549\) | 12.0780 | − | 5.28061i | 0.515477 | − | 0.225371i | ||||
\(550\) | 1.13219 | − | 0.323079i | 0.0482769 | − | 0.0137762i | ||||
\(551\) | 8.09045i | 0.344665i | ||||||||
\(552\) | −3.26991 | − | 15.6417i | −0.139176 | − | 0.665753i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.47282 | 0.147546 | ||||||||
\(555\) | −10.1349 | + | 9.21264i | −0.430202 | + | 0.391055i | ||||
\(556\) | 19.7367 | 0.837024 | ||||||||
\(557\) | −30.9586 | − | 30.9586i | −1.31176 | − | 1.31176i | −0.920119 | − | 0.391638i | \(-0.871908\pi\) |
−0.391638 | − | 0.920119i | \(-0.628092\pi\) | |||||||
\(558\) | −5.11446 | − | 2.00275i | −0.216512 | − | 0.0847832i | ||||
\(559\) | − | 12.2184i | − | 0.516783i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.51392 | + | 5.37140i | −0.148358 | + | 0.226781i | ||||
\(562\) | 0.421106 | − | 0.421106i | 0.0177633 | − | 0.0177633i | ||||
\(563\) | 7.84399 | − | 7.84399i | 0.330585 | − | 0.330585i | −0.522224 | − | 0.852808i | \(-0.674897\pi\) |
0.852808 | + | 0.522224i | \(0.174897\pi\) | |||||||
\(564\) | −7.74329 | + | 11.8365i | −0.326051 | + | 0.498405i | ||||
\(565\) | 32.5415 | − | 19.1403i | 1.36903 | − | 0.805238i | ||||
\(566\) | − | 8.14252i | − | 0.342256i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.5881 | − | 10.5881i | −0.444266 | − | 0.444266i | ||||
\(569\) | 13.8064 | 0.578793 | 0.289396 | − | 0.957209i | \(-0.406545\pi\) | ||||
0.289396 | + | 0.957209i | \(0.406545\pi\) | |||||||
\(570\) | 1.44882 | − | 1.31699i | 0.0606846 | − | 0.0551624i | ||||
\(571\) | −13.1252 | −0.549272 | −0.274636 | − | 0.961548i | \(-0.588557\pi\) | ||||
−0.274636 | + | 0.961548i | \(0.588557\pi\) | |||||||
\(572\) | 3.29762 | + | 3.29762i | 0.137881 | + | 0.137881i | ||||
\(573\) | 5.04736 | + | 24.1442i | 0.210857 | + | 1.00864i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −36.7852 | + | 10.4969i | −1.53405 | + | 0.437752i | ||||
\(576\) | 6.97153 | + | 15.9455i | 0.290480 | + | 0.664397i | ||||
\(577\) | −10.7854 | + | 10.7854i | −0.449001 | + | 0.449001i | −0.895022 | − | 0.446021i | \(-0.852841\pi\) |
0.446021 | + | 0.895022i | \(0.352841\pi\) | |||||||
\(578\) | −1.44628 | + | 1.44628i | −0.0601575 | + | 0.0601575i | ||||
\(579\) | −9.87957 | − | 6.46312i | −0.410581 | − | 0.268598i | ||||
\(580\) | 5.28344 | − | 20.3756i | 0.219383 | − | 0.846050i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −2.76247 | + | 0.577496i | −0.114508 | + | 0.0239380i | ||||
\(583\) | 3.74726 | + | 3.74726i | 0.155196 | + | 0.155196i | ||||
\(584\) | 1.67344 | 0.0692473 | ||||||||
\(585\) | 17.4455 | + | 12.6384i | 0.721283 | + | 0.522532i | ||||
\(586\) | 3.42129 | 0.141332 | ||||||||
\(587\) | −5.54217 | − | 5.54217i | −0.228750 | − | 0.228750i | 0.583421 | − | 0.812170i | \(-0.301714\pi\) |
−0.812170 | + | 0.583421i | \(0.801714\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.70404i | 0.399848i | ||||||||
\(590\) | 2.69238 | + | 4.57748i | 0.110844 | + | 0.188452i | ||||
\(591\) | 15.6940 | + | 10.2669i | 0.645565 | + | 0.422322i | ||||
\(592\) | 8.59407 | − | 8.59407i | 0.353214 | − | 0.353214i | ||||
\(593\) | 6.13323 | − | 6.13323i | 0.251861 | − | 0.251861i | −0.569872 | − | 0.821733i | \(-0.693007\pi\) |
0.821733 | + | 0.569872i | \(0.193007\pi\) | |||||||
\(594\) | −0.203568 | + | 1.20653i | −0.00835252 | + | 0.0495043i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.2438i | 1.36172i | ||||||||
\(597\) | −5.80548 | − | 27.7706i | −0.237603 | − | 1.13658i | ||||
\(598\) | 5.36543 | + | 5.36543i | 0.219409 | + | 0.219409i | ||||
\(599\) | 15.8774 | 0.648732 | 0.324366 | − | 0.945932i | \(-0.394849\pi\) | ||||
0.324366 | + | 0.945932i | \(0.394849\pi\) | |||||||
\(600\) | −9.24356 | + | 4.86001i | −0.377367 | + | 0.198409i | ||||
\(601\) | 41.5249 | 1.69384 | 0.846919 | − | 0.531722i | \(-0.178455\pi\) | ||||
0.846919 | + | 0.531722i | \(0.178455\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.0533783 | − | 0.136313i | 0.00217373 | − | 0.00555110i | ||||
\(604\) | 28.9802i | 1.17919i | ||||||||
\(605\) | −22.5510 | − | 5.84753i | −0.916828 | − | 0.237736i | ||||
\(606\) | −5.56062 | + | 8.50001i | −0.225885 | + | 0.345289i | ||||
\(607\) | −10.8110 | + | 10.8110i | −0.438805 | + | 0.438805i | −0.891610 | − | 0.452805i | \(-0.850423\pi\) |
0.452805 | + | 0.891610i | \(0.350423\pi\) | |||||||
\(608\) | −4.02013 | + | 4.02013i | −0.163038 | + | 0.163038i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.53839 | − | 2.61551i | −0.0622877 | − | 0.105899i | ||||
\(611\) | − | 13.7689i | − | 0.557030i | ||||||
\(612\) | 10.1261 | − | 25.8593i | 0.409324 | − | 1.04530i | ||||
\(613\) | 21.8063 | + | 21.8063i | 0.880747 | + | 0.880747i | 0.993611 | − | 0.112863i | \(-0.0360022\pi\) |
−0.112863 | + | 0.993611i | \(0.536002\pi\) | |||||||
\(614\) | −7.45852 | −0.301001 | ||||||||
\(615\) | −0.803941 | + | 16.8656i | −0.0324180 | + | 0.680088i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.2098 | − | 13.2098i | −0.531808 | − | 0.531808i | 0.389302 | − | 0.921110i | \(-0.372716\pi\) |
−0.921110 | + | 0.389302i | \(0.872716\pi\) | |||||||
\(618\) | 1.38261 | + | 6.61376i | 0.0556168 | + | 0.266044i | ||||
\(619\) | 17.0312i | 0.684542i | 0.939601 | + | 0.342271i | \(0.111196\pi\) | ||||
−0.939601 | + | 0.342271i | \(0.888804\pi\) | |||||||
\(620\) | 6.33719 | − | 24.4394i | 0.254508 | − | 0.981510i | ||||
\(621\) | 6.61399 | − | 39.2003i | 0.265410 | − | 1.57305i | ||||
\(622\) | −5.16425 | + | 5.16425i | −0.207068 | + | 0.207068i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −15.9973 | − | 10.4652i | −0.640403 | − | 0.418945i | ||||
\(625\) | 13.1935 | + | 21.2351i | 0.527741 | + | 0.849406i | ||||
\(626\) | − | 3.82329i | − | 0.152809i | ||||||
\(627\) | 2.11601 | − | 0.442354i | 0.0845053 | − | 0.0176659i | ||||
\(628\) | −12.3047 | − | 12.3047i | −0.491012 | − | 0.491012i | ||||
\(629\) | −17.1879 | −0.685327 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.51082 | 0.259191 | 0.129596 | − | 0.991567i | \(-0.458632\pi\) | ||||
0.129596 | + | 0.991567i | \(0.458632\pi\) | |||||||
\(632\) | 3.61162 | + | 3.61162i | 0.143662 | + | 0.143662i | ||||
\(633\) | 43.2374 | − | 9.03883i | 1.71853 | − | 0.359261i | ||||
\(634\) | 1.35654i | 0.0538752i | ||||||||
\(635\) | −12.1602 | + | 7.15242i | −0.482565 | + | 0.283835i | ||||
\(636\) | −19.1875 | − | 12.5523i | −0.760834 | − | 0.497730i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −0.822967 | + | 0.822967i | −0.0325816 | + | 0.0325816i | ||||
\(639\) | −14.9228 | − | 34.1320i | −0.590338 | − | 1.35024i | ||||
\(640\) | 16.8414 | − | 9.90581i | 0.665716 | − | 0.391562i | ||||
\(641\) | 42.3545i | 1.67290i | 0.548042 | + | 0.836451i | \(0.315374\pi\) | ||||
−0.548042 | + | 0.836451i | \(0.684626\pi\) | |||||||
\(642\) | 0.238694 | + | 1.14180i | 0.00942049 | + | 0.0450631i | ||||
\(643\) | 11.2098 | + | 11.2098i | 0.442072 | + | 0.442072i | 0.892708 | − | 0.450636i | \(-0.148803\pi\) |
−0.450636 | + | 0.892708i | \(0.648803\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 9.91181 | + | 10.9040i | 0.390277 | + | 0.429347i | ||||
\(646\) | 2.45708 | 0.0966726 | ||||||||
\(647\) | −16.8086 | − | 16.8086i | −0.660814 | − | 0.660814i | 0.294758 | − | 0.955572i | \(-0.404761\pi\) |
−0.955572 | + | 0.294758i | \(0.904761\pi\) | |||||||
\(648\) | −0.422450 | − | 10.8448i | −0.0165954 | − | 0.426024i | ||||
\(649\) | 5.86338i | 0.230158i | ||||||||
\(650\) | 2.40969 | − | 4.33408i | 0.0945160 | − | 0.169996i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.64616 | − | 3.64616i | 0.142794 | − | 0.142794i | ||||
\(653\) | 15.4100 | − | 15.4100i | 0.603041 | − | 0.603041i | −0.338078 | − | 0.941118i | \(-0.609777\pi\) |
0.941118 | + | 0.338078i | \(0.109777\pi\) | |||||||
\(654\) | 0.691026 | − | 1.05631i | 0.0270213 | − | 0.0413049i | ||||
\(655\) | 1.20640 | − | 4.65249i | 0.0471380 | − | 0.181788i | ||||
\(656\) | − | 14.9833i | − | 0.584998i | ||||||
\(657\) | 3.87653 | + | 1.51800i | 0.151238 | + | 0.0592227i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 42.6184 | 1.66018 | 0.830088 | − | 0.557632i | \(-0.188290\pi\) | ||||
0.830088 | + | 0.557632i | \(0.188290\pi\) | |||||||
\(660\) | −5.61800 | − | 0.267795i | −0.218680 | − | 0.0104239i | ||||
\(661\) | 45.4934 | 1.76949 | 0.884744 | − | 0.466076i | \(-0.154333\pi\) | ||||
0.884744 | + | 0.466076i | \(0.154333\pi\) | |||||||
\(662\) | −1.35804 | − | 1.35804i | −0.0527816 | − | 0.0527816i | ||||
\(663\) | 5.53194 | + | 26.4621i | 0.214843 | + | 1.02770i | ||||
\(664\) | 8.61819i | 0.334451i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.00210 | + | 1.31254i | −0.116329 | + | 0.0508601i | ||||
\(667\) | 26.7384 | − | 26.7384i | 1.03531 | − | 1.03531i | ||||
\(668\) | 7.34328 | − | 7.34328i | 0.284120 | − | 0.284120i | ||||
\(669\) | 31.6792 | + | 20.7242i | 1.22479 | + | 0.801244i | ||||
\(670\) | −0.0326196 | − | 0.00845835i | −0.00126021 | − | 0.000326774i | ||||
\(671\) | − | 3.35026i | − | 0.129335i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.1249 | − | 32.1249i | −1.23832 | − | 1.23832i | −0.960686 | − | 0.277636i | \(-0.910449\pi\) |
−0.277636 | − | 0.960686i | \(-0.589551\pi\) | |||||||
\(674\) | 6.57332 | 0.253195 | ||||||||
\(675\) | −25.8214 | + | 2.87331i | −0.993866 | + | 0.110594i | ||||
\(676\) | −5.11819 | −0.196854 | ||||||||
\(677\) | 30.1078 | + | 30.1078i | 1.15714 | + | 1.15714i | 0.985088 | + | 0.172049i | \(0.0550388\pi\) |
0.172049 | + | 0.985088i | \(0.444961\pi\) | |||||||
\(678\) | 8.84036 | − | 1.84809i | 0.339512 | − | 0.0709753i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −12.6861 | − | 3.28953i | −0.486489 | − | 0.126148i | ||||
\(681\) | 18.6223 | + | 12.1825i | 0.713607 | + | 0.466834i | ||||
\(682\) | −0.987103 | + | 0.987103i | −0.0377981 | + | 0.0377981i | ||||
\(683\) | 1.64841 | − | 1.64841i | 0.0630747 | − | 0.0630747i | −0.674866 | − | 0.737940i | \(-0.735798\pi\) |
0.737940 | + | 0.674866i | \(0.235798\pi\) | |||||||
\(684\) | −8.56980 | + | 3.74680i | −0.327675 | + | 0.143262i | ||||
\(685\) | −9.99568 | − | 16.9942i | −0.381915 | − | 0.649316i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.42298 | + | 25.9409i | 0.206899 | + | 0.989708i | ||||
\(688\) | −9.24630 | − | 9.24630i | −0.352512 | − | 0.352512i | ||||
\(689\) | 22.3201 | 0.850326 | ||||||||
\(690\) | −9.14081 | − | 0.435718i | −0.347985 | − | 0.0165875i | ||||
\(691\) | −16.5565 | −0.629838 | −0.314919 | − | 0.949119i | \(-0.601977\pi\) | ||||
−0.314919 | + | 0.949119i | \(0.601977\pi\) | |||||||
\(692\) | 1.78210 | + | 1.78210i | 0.0677454 | + | 0.0677454i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 5.94884i | − | 0.225815i | ||||||
\(695\) | 5.81605 | − | 22.4296i | 0.220615 | − | 0.850804i | ||||
\(696\) | 5.65147 | − | 8.63888i | 0.214218 | − | 0.327456i | ||||
\(697\) | −14.9831 | + | 14.9831i | −0.567524 | + | 0.567524i | ||||
\(698\) | −2.01864 | + | 2.01864i | −0.0764068 | + | 0.0764068i | ||||
\(699\) | −6.50607 | + | 9.94523i | −0.246082 | + | 0.376163i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.5973i | 1.00457i | 0.864703 | + | 0.502284i | \(0.167507\pi\) | ||||
−0.864703 | + | 0.502284i | \(0.832493\pi\) | |||||||
\(702\) | 2.98699 | + | 4.19952i | 0.112737 | + | 0.158501i | ||||
\(703\) | 4.09324 | + | 4.09324i | 0.154380 | + | 0.154380i | ||||
\(704\) | 4.42305 | 0.166700 | ||||||||
\(705\) | 11.1696 | + | 12.2878i | 0.420672 | + | 0.462784i | ||||
\(706\) | −3.64717 | −0.137263 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −5.19111 | − | 24.8318i | −0.195094 | − | 0.933235i | ||||
\(709\) | − | 15.9176i | − | 0.597798i | −0.954285 | − | 0.298899i | \(-0.903381\pi\) | ||
0.954285 | − | 0.298899i | \(-0.0966194\pi\) | |||||||
\(710\) | −7.39134 | + | 4.34744i | −0.277392 | + | 0.163157i | ||||
\(711\) | 5.09021 | + | 11.6425i | 0.190898 | + | 0.436628i | ||||
\(712\) | 0.773563 | − | 0.773563i | 0.0289905 | − | 0.0289905i | ||||
\(713\) | 32.0712 | − | 32.0712i | 1.20108 | − | 1.20108i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.71930 | − | 2.77580i | 0.176492 | − | 0.103809i | ||||
\(716\) | 0.460292i | 0.0172019i | ||||||||
\(717\) | 31.7179 | − | 6.63067i | 1.18453 | − | 0.247627i | ||||
\(718\) | 3.04916 | + | 3.04916i | 0.113794 | + | 0.113794i | ||||
\(719\) | 21.3813 | 0.797388 | 0.398694 | − | 0.917084i | \(-0.369464\pi\) | ||||
0.398694 | + | 0.917084i | \(0.369464\pi\) | |||||||
\(720\) | 22.7660 | − | 3.63782i | 0.848440 | − | 0.135573i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 3.56409 | + | 3.56409i | 0.132642 | + | 0.132642i | ||||
\(723\) | 3.34354 | − | 0.698971i | 0.124348 | − | 0.0259950i | ||||
\(724\) | − | 35.5905i | − | 1.32271i | ||||||
\(725\) | −21.5987 | − | 12.0086i | −0.802155 | − | 0.445989i | ||||
\(726\) | −4.66383 | − | 3.05103i | −0.173091 | − | 0.113234i | ||||
\(727\) | 7.43836 | − | 7.43836i | 0.275873 | − | 0.275873i | −0.555586 | − | 0.831459i | \(-0.687506\pi\) |
0.831459 | + | 0.555586i | \(0.187506\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 8.85885 | − | 25.5053i | 0.328106 | − | 0.944641i | ||||
\(730\) | 0.240542 | − | 0.927651i | 0.00890287 | − | 0.0343339i | ||||
\(731\) | 18.4923i | 0.683964i | ||||||||
\(732\) | 2.96613 | + | 14.1886i | 0.109631 | + | 0.524424i | ||||
\(733\) | 25.8200 | + | 25.8200i | 0.953683 | + | 0.953683i | 0.998974 | − | 0.0452905i | \(-0.0144214\pi\) |
−0.0452905 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(734\) | −4.65810 | −0.171934 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26.5725 | 0.979475 | ||||||||
\(737\) | −0.0263088 | − | 0.0263088i | −0.000969096 | − | 0.000969096i | ||||
\(738\) | −1.47282 | + | 3.76116i | −0.0542152 | + | 0.138450i | ||||
\(739\) | − | 38.3589i | − | 1.41105i | −0.708683 | − | 0.705527i | \(-0.750710\pi\) | ||
0.708683 | − | 0.705527i | \(-0.249290\pi\) | |||||||
\(740\) | −7.63566 | − | 12.9818i | −0.280692 | − | 0.477221i | ||||
\(741\) | 4.98446 | − | 7.61928i | 0.183109 | − | 0.279901i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 30.8182 | − | 30.8182i | 1.13061 | − | 1.13061i | 0.140534 | − | 0.990076i | \(-0.455118\pi\) |
0.990076 | − | 0.140534i | \(-0.0448819\pi\) | |||||||
\(744\) | 6.77863 | − | 10.3619i | 0.248516 | − | 0.379884i | ||||
\(745\) | 37.7796 | + | 9.79634i | 1.38414 | + | 0.358910i | ||||
\(746\) | − | 10.7588i | − | 0.393908i | ||||||
\(747\) | −7.81768 | + | 19.9641i | −0.286034 | + | 0.730450i | ||||
\(748\) | −4.99090 | − | 4.99090i | −0.182485 | − | 0.182485i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.36541 | + | 5.82265i | 0.0498578 | + | 0.212613i | ||||
\(751\) | 39.8711 | 1.45492 | 0.727459 | − | 0.686151i | \(-0.240701\pi\) | ||||
0.727459 | + | 0.686151i | \(0.240701\pi\) | |||||||
\(752\) | −10.4196 | − | 10.4196i | −0.379965 | − | 0.379965i | ||||
\(753\) | −6.34478 | − | 30.3504i | −0.231217 | − | 1.10603i | ||||
\(754\) | 4.90190i | 0.178517i | ||||||||
\(755\) | 32.9342 | + | 8.53991i | 1.19860 | + | 0.310799i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.798673 | − | 0.798673i | 0.0290283 | − | 0.0290283i | −0.692444 | − | 0.721472i | \(-0.743466\pi\) |
0.721472 | + | 0.692444i | \(0.243466\pi\) | |||||||
\(758\) | 4.16238 | − | 4.16238i | 0.151184 | − | 0.151184i | ||||
\(759\) | −8.45522 | − | 5.53132i | −0.306905 | − | 0.200774i | ||||
\(760\) | 2.23776 | + | 3.80454i | 0.0811721 | + | 0.138005i | ||||
\(761\) | − | 43.1790i | − | 1.56524i | −0.622500 | − | 0.782619i | \(-0.713883\pi\) | ||
0.622500 | − | 0.782619i | \(-0.286117\pi\) | |||||||
\(762\) | −3.30350 | + | 0.690601i | −0.119673 | + | 0.0250178i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −27.1236 | −0.981299 | ||||||||
\(765\) | −26.4035 | − | 19.1280i | −0.954621 | − | 0.691573i | ||||
\(766\) | −3.13659 | −0.113330 | ||||||||
\(767\) | 17.4622 | + | 17.4622i | 0.630524 | + | 0.630524i | ||||
\(768\) | −15.0947 | + | 3.15557i | −0.544685 | + | 0.113867i | ||||
\(769\) | 44.1875i | 1.59344i | 0.604348 | + | 0.796720i | \(0.293434\pi\) | ||||
−0.604348 | + | 0.796720i | \(0.706566\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 28.5812 | + | 18.6975i | 1.02933 | + | 0.673376i | ||||
\(772\) | 9.17972 | − | 9.17972i | 0.330385 | − | 0.330385i | ||||
\(773\) | 15.4692 | − | 15.4692i | 0.556390 | − | 0.556390i | −0.371888 | − | 0.928278i | \(-0.621289\pi\) |
0.928278 | + | 0.371888i | \(0.121289\pi\) | |||||||
\(774\) | 1.41216 | + | 3.22993i | 0.0507589 | + | 0.116098i | ||||
\(775\) | −25.9064 | − | 14.4037i | −0.930586 | − | 0.517395i | ||||
\(776\) | − | 6.36214i | − | 0.228388i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.13643 | + | 8.13643i | 0.291705 | + | 0.291705i | ||||
\(779\) | 7.13633 | 0.255686 | ||||||||
\(780\) | −17.5290 | + | 15.9339i | −0.627638 | + | 0.570525i | ||||
\(781\) | −9.46770 | −0.338781 | ||||||||
\(782\) | −8.12049 | − | 8.12049i | −0.290388 | − | 0.290388i | ||||
\(783\) | 20.9281 | − | 14.8856i | 0.747911 | − | 0.531966i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −17.6095 | + | 10.3576i | −0.628512 | + | 0.369679i | ||||
\(786\) | 0.629457 | − | 0.962193i | 0.0224520 | − | 0.0343203i | ||||
\(787\) | 0.213202 | − | 0.213202i | 0.00759982 | − | 0.00759982i | −0.703297 | − | 0.710896i | \(-0.748289\pi\) |
0.710896 | + | 0.703297i | \(0.248289\pi\) | |||||||
\(788\) | −14.5823 | + | 14.5823i | −0.519472 | + | 0.519472i | ||||
\(789\) | 5.26120 | − | 8.04231i | 0.187304 | − | 0.286314i | ||||
\(790\) | 2.52120 | − | 1.48292i | 0.0897003 | − | 0.0527600i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −2.56845 | − | 1.00577i | −0.0912659 | − | 0.0357385i | ||||
\(793\) | −9.97768 | − | 9.97768i | −0.354318 | − | 0.354318i | ||||
\(794\) | −2.74540 | −0.0974306 | ||||||||
\(795\) | −19.9191 | + | 18.1065i | −0.706457 | + | 0.642171i | ||||
\(796\) | 31.1977 | 1.10577 | ||||||||
\(797\) | 8.45240 | + | 8.45240i | 0.299399 | + | 0.299399i | 0.840779 | − | 0.541379i | \(-0.182098\pi\) |
−0.541379 | + | 0.840779i | \(0.682098\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 20.8390i | 0.737231i | ||||||||
\(800\) | −4.76529 | − | 16.6994i | −0.168478 | − | 0.590413i | ||||
\(801\) | 2.49368 | − | 1.09026i | 0.0881098 | − | 0.0385224i | ||||
\(802\) | 1.01580 | − | 1.01580i | 0.0358691 | − | 0.0358691i | ||||
\(803\) | 0.748181 | − | 0.748181i | 0.0264027 | − | 0.0264027i | ||||
\(804\) | 0.134712 | + | 0.0881271i | 0.00475092 | + | 0.00310800i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.87955i | 0.207098i | ||||||||
\(807\) | 17.0327 | − | 3.56070i | 0.599579 | − | 0.125343i | ||||
\(808\) | −16.1913 | − | 16.1913i | −0.569608 | − | 0.569608i | ||||
\(809\) | −37.1351 | −1.30560 | −0.652801 | − | 0.757530i | \(-0.726406\pi\) | ||||
−0.652801 | + | 0.757530i | \(0.726406\pi\) | |||||||
\(810\) | −6.07242 | − | 1.32467i | −0.213363 | − | 0.0465440i | ||||
\(811\) | 23.5491 | 0.826921 | 0.413461 | − | 0.910522i | \(-0.364320\pi\) | ||||
0.413461 | + | 0.910522i | \(0.364320\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.56300 | − | 1.99915i | 0.335389 | − | 0.0701134i | ||||
\(814\) | 0.832736i | 0.0291874i | ||||||||
\(815\) | −3.06918 | − | 5.21809i | −0.107509 | − | 0.182782i | ||||
\(816\) | 24.2116 | + | 15.8390i | 0.847576 | + | 0.554475i | ||||
\(817\) | 4.40389 | − | 4.40389i | 0.154073 | − | 0.154073i | ||||
\(818\) | −5.79994 | + | 5.79994i | −0.202790 | + | 0.202790i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −17.9727 | − | 4.66036i | −0.627633 | − | 0.162747i | ||||
\(821\) | 40.9914i | 1.43061i | 0.698812 | + | 0.715306i | \(0.253713\pi\) | ||||
−0.698812 | + | 0.715306i | \(0.746287\pi\) | |||||||
\(822\) | −0.965130 | − | 4.61672i | −0.0336628 | − | 0.161027i | ||||
\(823\) | −18.2198 | − | 18.2198i | −0.635104 | − | 0.635104i | 0.314240 | − | 0.949344i | \(-0.398250\pi\) |
−0.949344 | + | 0.314240i | \(0.898250\pi\) | |||||||
\(824\) | −15.2319 | −0.530629 | ||||||||
\(825\) | −1.95985 | + | 6.30560i | −0.0682333 | + | 0.219533i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −19.5668 | − | 19.5668i | −0.680404 | − | 0.680404i | 0.279687 | − | 0.960091i | \(-0.409769\pi\) |
−0.960091 | + | 0.279687i | \(0.909769\pi\) | |||||||
\(828\) | 40.7055 | + | 15.9397i | 1.41462 | + | 0.553943i | ||||
\(829\) | − | 25.3202i | − | 0.879406i | −0.898143 | − | 0.439703i | \(-0.855084\pi\) | ||
0.898143 | − | 0.439703i | \(-0.144916\pi\) | |||||||
\(830\) | 4.77740 | + | 1.23879i | 0.165826 | + | 0.0429991i | ||||
\(831\) | −10.6625 | + | 16.2988i | −0.369878 | + | 0.565398i | ||||
\(832\) | 13.1727 | − | 13.1727i | 0.456680 | − | 0.456680i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 3.03461 | − | 4.63873i | 0.105080 | − | 0.160626i | ||||
\(835\) | −6.18127 | − | 10.5091i | −0.213912 | − | 0.363683i | ||||
\(836\) | 2.37713i | 0.0822149i | ||||||||
\(837\) | 25.1022 | − | 17.8544i | 0.867657 | − | 0.617138i | ||||
\(838\) | 5.64030 | + | 5.64030i | 0.194841 | + | 0.194841i | ||||
\(839\) | −50.7484 | −1.75203 | −0.876014 | − | 0.482286i | \(-0.839807\pi\) | ||||
−0.876014 | + | 0.482286i | \(0.839807\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.57160 | −0.157641 | ||||||||
\(842\) | 0.0944344 | + | 0.0944344i | 0.00325442 | + | 0.00325442i | ||||
\(843\) | 0.683443 | + | 3.26926i | 0.0235390 | + | 0.112599i | ||||
\(844\) | 48.5731i | 1.67196i | ||||||||
\(845\) | −1.50824 | + | 5.81651i | −0.0518849 | + | 0.200094i | ||||
\(846\) | 1.59136 | + | 3.63981i | 0.0547120 | + | 0.125139i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 16.8908 | − | 16.8908i | 0.580031 | − | 0.580031i | ||||
\(849\) | 38.2148 | + | 24.9997i | 1.31153 | + | 0.857989i | ||||
\(850\) | −3.64704 | + | 6.55956i | −0.125092 | + | 0.224991i | ||||
\(851\) | − | 27.0558i | − | 0.927460i | ||||||
\(852\) | 40.0963 | − | 8.38218i | 1.37368 | − | 0.287169i | ||||
\(853\) | −18.8448 | − | 18.8448i | −0.645233 | − | 0.645233i | 0.306604 | − | 0.951837i | \(-0.400807\pi\) |
−0.951837 | + | 0.306604i | \(0.900807\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.73265 | + | 10.8432i | 0.0592552 | + | 0.370829i | ||||
\(856\) | −2.62963 | −0.0898790 | ||||||||
\(857\) | 8.80014 | + | 8.80014i | 0.300607 | + | 0.300607i | 0.841251 | − | 0.540644i | \(-0.181819\pi\) |
−0.540644 | + | 0.841251i | \(0.681819\pi\) | |||||||
\(858\) | 1.28206 | − | 0.268017i | 0.0437689 | − | 0.00914994i | ||||
\(859\) | 3.85330i | 0.131473i | 0.997837 | + | 0.0657364i | \(0.0209397\pi\) | ||||
−0.997837 | + | 0.0657364i | \(0.979060\pi\) | |||||||
\(860\) | −13.9670 | + | 8.21515i | −0.476272 | + | 0.280134i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.56217 | − | 3.56217i | 0.121328 | − | 0.121328i | ||||
\(863\) | −35.2942 | + | 35.2942i | −1.20143 | + | 1.20143i | −0.227695 | + | 0.973732i | \(0.573119\pi\) |
−0.973732 | + | 0.227695i | \(0.926881\pi\) | |||||||
\(864\) | 17.7957 | + | 3.00255i | 0.605424 | + | 0.102149i | ||||
\(865\) | 2.55040 | − | 1.50010i | 0.0867164 | − | 0.0510049i | ||||
\(866\) | − | 0.224599i | − | 0.00763219i | ||||||
\(867\) | −2.34727 | − | 11.2282i | −0.0797176 | − | 0.381331i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.22945 | 0.109552 | ||||||||
\(870\) | −3.97652 | − | 4.37460i | −0.134817 | − | 0.148313i | ||||
\(871\) | −0.156705 | −0.00530974 | ||||||||
\(872\) | 2.01211 | + | 2.01211i | 0.0681387 | + | 0.0681387i | ||||
\(873\) | 5.77118 | − | 14.7380i | 0.195325 | − | 0.498805i | ||||
\(874\) | 3.86774i | 0.130828i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.50620 | + | 3.83099i | −0.0846765 | + | 0.129437i | ||||
\(877\) | −31.9696 | + | 31.9696i | −1.07954 | + | 1.07954i | −0.0829852 | + | 0.996551i | \(0.526445\pi\) |
−0.996551 | + | 0.0829852i | \(0.973555\pi\) | |||||||
\(878\) | −3.34086 | + | 3.34086i | −0.112749 | + | 0.112749i | ||||
\(879\) | −10.5043 | + | 16.0569i | −0.354301 | + | 0.541587i | ||||
\(880\) | 1.47075 | − | 5.67193i | 0.0495788 | − | 0.191201i | ||||
\(881\) | 25.2055i | 0.849195i | 0.905382 | + | 0.424597i | \(0.139584\pi\) | ||||
−0.905382 | + | 0.424597i | \(0.860416\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.2942 | − | 14.2942i | −0.481039 | − | 0.481039i | 0.424424 | − | 0.905463i | \(-0.360476\pi\) |
−0.905463 | + | 0.424424i | \(0.860476\pi\) | |||||||
\(884\) | −29.7277 | −0.999850 | ||||||||
\(885\) | −29.7495 | − | 1.41808i | −1.00002 | − | 0.0476683i | ||||
\(886\) | 2.81824 | 0.0946806 | ||||||||
\(887\) | −27.5143 | − | 27.5143i | −0.923840 | − | 0.923840i | 0.0734580 | − | 0.997298i | \(-0.476597\pi\) |
−0.997298 | + | 0.0734580i | \(0.976597\pi\) | |||||||
\(888\) | −1.51144 | − | 7.23000i | −0.0507206 | − | 0.242623i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −0.317623 | − | 0.540010i | −0.0106468 | − | 0.0181012i | ||||
\(891\) | −5.03750 | − | 4.65975i | −0.168763 | − | 0.156108i | ||||
\(892\) | −29.4351 | + | 29.4351i | −0.985559 | + | 0.985559i | ||||
\(893\) | 4.96274 | − | 4.96274i | 0.166072 | − | 0.166072i | ||||
\(894\) | 7.81330 | + | 5.11138i | 0.261316 | + | 0.170950i | ||||
\(895\) | 0.523094 | + | 0.135639i | 0.0174851 | + | 0.00453393i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −41.6545 | + | 8.70792i | −1.39080 | + | 0.290749i | ||||
\(898\) | 2.05472 | + | 2.05472i | 0.0685670 | + | 0.0685670i | ||||
\(899\) | 29.3005 | 0.977227 | ||||||||
\(900\) | 2.71747 | − | 28.4398i | 0.0905824 | − | 0.947992i | ||||
\(901\) | −33.7811 | −1.12541 | ||||||||
\(902\) | 0.725914 | + | 0.725914i | 0.0241703 | + | 0.0241703i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 20.3599i | 0.677161i | ||||||||
\(905\) | −40.4464 | − | 10.4879i | −1.34448 | − | 0.348628i | ||||
\(906\) | 6.81120 | + | 4.45582i | 0.226287 | + | 0.148035i | ||||
\(907\) | 1.70404 | − | 1.70404i | 0.0565816 | − | 0.0565816i | −0.678250 | − | 0.734831i | \(-0.737261\pi\) |
0.734831 | + | 0.678250i | \(0.237261\pi\) | |||||||
\(908\) | −17.3031 | + | 17.3031i | −0.574224 | + | 0.574224i | ||||
\(909\) | −22.8200 | − | 52.1946i | −0.756891 | − | 1.73119i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 19.3662i | 0.641631i | 0.947142 | + | 0.320815i | \(0.103957\pi\) | ||||
−0.947142 | + | 0.320815i | \(0.896043\pi\) | |||||||
\(912\) | −1.99391 | − | 9.53792i | −0.0660250 | − | 0.315832i | ||||
\(913\) | 3.85313 | + | 3.85313i | 0.127520 | + | 0.127520i | ||||
\(914\) | −10.6637 | −0.352724 | ||||||||
\(915\) | 16.9985 | + | 0.810273i | 0.561953 | + | 0.0267868i | ||||
\(916\) | −29.1421 | −0.962883 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −4.52077 | − | 6.35591i | −0.149208 | − | 0.209776i | ||||
\(919\) | 34.1319i | 1.12591i | 0.826489 | + | 0.562953i | \(0.190335\pi\) | ||||
−0.826489 | + | 0.562953i | \(0.809665\pi\) | |||||||
\(920\) | 5.17811 | − | 19.9694i | 0.170717 | − | 0.658372i | ||||
\(921\) | 22.8997 | − | 35.0046i | 0.754569 | − | 1.15344i | ||||
\(922\) | 8.06536 | − | 8.06536i | 0.265619 | − | 0.265619i | ||||
\(923\) | −28.1966 | + | 28.1966i | −0.928102 | + | 0.928102i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.0031 | + | 4.85196i | −0.559059 | + | 0.159531i | ||||
\(926\) | 11.5168i | 0.378467i | ||||||||
\(927\) | −35.2849 | − | 13.8171i | −1.15891 | − | 0.453812i | ||||
\(928\) | 12.1384 | + | 12.1384i | 0.398463 | + | 0.398463i | ||||
\(929\) | 19.7246 | 0.647144 | 0.323572 | − | 0.946204i | \(-0.395116\pi\) | ||||
0.323572 | + | 0.946204i | \(0.395116\pi\) | |||||||
\(930\) | −4.76962 | − | 5.24709i | −0.156402 | − | 0.172059i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −9.24073 | − | 9.24073i | −0.302690 | − | 0.302690i | ||||
\(933\) | −8.38142 | − | 40.0927i | −0.274395 | − | 1.31258i | ||||
\(934\) | 3.14994i | 0.103069i | ||||||||
\(935\) | −7.14258 | + | 4.20113i | −0.233587 | + | 0.137392i | ||||
\(936\) | −10.6447 | + | 4.65396i | −0.347933 | + | 0.152119i | ||||
\(937\) | −17.3041 | + | 17.3041i | −0.565300 | + | 0.565300i | −0.930808 | − | 0.365508i | \(-0.880895\pi\) |
0.365508 | + | 0.930808i | \(0.380895\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 17.9436 | + | 11.7385i | 0.585568 | + | 0.383072i | ||||
\(940\) | −15.7394 | + | 9.25764i | −0.513364 | + | 0.301951i | ||||
\(941\) | 4.49489i | 0.146529i | 0.997313 | + | 0.0732646i | \(0.0233418\pi\) | ||||
−0.997313 | + | 0.0732646i | \(0.976658\pi\) | |||||||
\(942\) | −4.78388 | + | 1.00008i | −0.155867 | + | 0.0325842i | ||||
\(943\) | −23.5851 | − | 23.5851i | −0.768036 | − | 0.768036i | ||||
\(944\) | 26.4292 | 0.860196 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.895935 | 0.0291294 | ||||||||
\(947\) | 10.6067 | + | 10.6067i | 0.344673 | + | 0.344673i | 0.858121 | − | 0.513448i | \(-0.171632\pi\) |
−0.513448 | + | 0.858121i | \(0.671632\pi\) | |||||||
\(948\) | −13.6769 | + | 2.85918i | −0.444207 | + | 0.0928619i | ||||
\(949\) | − | 4.45644i | − | 0.144662i | ||||||
\(950\) | 2.43067 | − | 0.693608i | 0.0788613 | − | 0.0225036i | ||||
\(951\) | −6.36658 | − | 4.16495i | −0.206451 | − | 0.135058i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −21.6181 | + | 21.6181i | −0.700277 | + | 0.700277i | −0.964470 | − | 0.264193i | \(-0.914895\pi\) |
0.264193 | + | 0.964470i | \(0.414895\pi\) | |||||||
\(954\) | −5.90031 | + | 2.57967i | −0.191030 | + | 0.0835199i | ||||
\(955\) | −7.99283 | + | 30.8244i | −0.258642 | + | 0.997453i | ||||
\(956\) | 35.6321i | 1.15242i | ||||||||
\(957\) | −1.33565 | − | 6.38911i | −0.0431754 | − | 0.206531i | ||||
\(958\) | −2.99334 | − | 2.99334i | −0.0967106 | − | 0.0967106i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.06973 | + | 22.4416i | −0.0345255 | + | 0.724300i | ||||
\(961\) | 4.14435 | 0.133689 | ||||||||
\(962\) | 2.48004 | + | 2.48004i | 0.0799598 | + | 0.0799598i | ||||
\(963\) | −6.09157 | − | 2.38537i | −0.196298 | − | 0.0768676i | ||||
\(964\) | 3.75615i | 0.120977i | ||||||||
\(965\) | −7.72710 | − | 13.1373i | −0.248744 | − | 0.422904i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.1911 | − | 16.1911i | 0.520672 | − | 0.520672i | −0.397102 | − | 0.917774i | \(-0.629984\pi\) |
0.917774 | + | 0.397102i | \(0.129984\pi\) | |||||||
\(968\) | 8.88392 | − | 8.88392i | 0.285540 | − | 0.285540i | ||||
\(969\) | −7.54390 | + | 11.5317i | −0.242345 | + | 0.370451i | ||||
\(970\) | −3.52678 | − | 0.914504i | −0.113238 | − | 0.0293629i | ||||
\(971\) | − | 18.2948i | − | 0.587107i | −0.955943 | − | 0.293553i | \(-0.905162\pi\) | ||
0.955943 | − | 0.293553i | \(-0.0948379\pi\) | |||||||
\(972\) | 25.4596 | + | 15.2744i | 0.816618 | + | 0.489928i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −7.06004 | −0.226218 | ||||||||
\(975\) | 12.9424 | + | 24.6160i | 0.414490 | + | 0.788344i | ||||
\(976\) | −15.1013 | −0.483380 | ||||||||
\(977\) | −10.5379 | − | 10.5379i | −0.337139 | − | 0.337139i | 0.518151 | − | 0.855289i | \(-0.326621\pi\) |
−0.855289 | + | 0.518151i | \(0.826621\pi\) | |||||||
\(978\) | −0.296344 | − | 1.41757i | −0.00947603 | − | 0.0453288i | ||||
\(979\) | − | 0.691709i | − | 0.0221071i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.83587 | + | 6.48630i | 0.0905423 | + | 0.207092i | ||||
\(982\) | 5.18603 | − | 5.18603i | 0.165493 | − | 0.165493i | ||||
\(983\) | 8.31506 | − | 8.31506i | 0.265209 | − | 0.265209i | −0.561957 | − | 0.827166i | \(-0.689951\pi\) |
0.827166 | + | 0.561957i | \(0.189951\pi\) | |||||||
\(984\) | −7.62009 | − | 4.98499i | −0.242920 | − | 0.158916i | ||||
\(985\) | 12.2747 | + | 20.8690i | 0.391106 | + | 0.664941i | ||||
\(986\) | − | 7.41895i | − | 0.236267i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.07955 | + | 7.07955i | 0.225230 | + | 0.225230i | ||||
\(989\) | −29.1091 | −0.925616 | ||||||||
\(990\) | −0.926730 | + | 1.27922i | −0.0294534 | + | 0.0406564i | ||||
\(991\) | 10.0401 | 0.318933 | 0.159467 | − | 0.987203i | \(-0.449023\pi\) | ||||
0.159467 | + | 0.987203i | \(0.449023\pi\) | |||||||
\(992\) | 14.5594 | + | 14.5594i | 0.462260 | + | 0.462260i | ||||
\(993\) | 10.5431 | − | 2.20405i | 0.334576 | − | 0.0699434i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 9.19337 | − | 35.4542i | 0.291449 | − | 1.12397i | ||||
\(996\) | −19.7296 | − | 12.9069i | −0.625156 | − | 0.408971i | ||||
\(997\) | −9.95260 | + | 9.95260i | −0.315202 | + | 0.315202i | −0.846921 | − | 0.531719i | \(-0.821546\pi\) |
0.531719 | + | 0.846921i | \(0.321546\pi\) | |||||||
\(998\) | 0.706533 | − | 0.706533i | 0.0223649 | − | 0.0223649i | ||||
\(999\) | 3.05716 | − | 18.1194i | 0.0967243 | − | 0.573273i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))