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 | 197.10 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.g.638.10 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06891 | − | 1.06891i | 0.755830 | − | 0.755830i | −0.219730 | − | 0.975561i | \(-0.570518\pi\) |
0.975561 | + | 0.219730i | \(0.0705178\pi\) | |||||||
\(3\) | 0.0150256 | − | 1.73199i | 0.00867502 | − | 0.999962i | ||||
\(4\) | − | 0.285117i | − | 0.142558i | ||||||
\(5\) | 2.03205 | + | 0.933160i | 0.908759 | + | 0.417322i | ||||
\(6\) | −1.83527 | − | 1.86739i | −0.749245 | − | 0.762359i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.83305 | + | 1.83305i | 0.648080 | + | 0.648080i | ||||
\(9\) | −2.99955 | − | 0.0520482i | −0.999849 | − | 0.0173494i | ||||
\(10\) | 3.16952 | − | 1.17461i | 1.00229 | − | 0.371443i | ||||
\(11\) | 0.914115i | 0.275616i | 0.990459 | + | 0.137808i | \(0.0440057\pi\) | ||||
−0.990459 | + | 0.137808i | \(0.955994\pi\) | |||||||
\(12\) | −0.493818 | − | 0.00428405i | −0.142553 | − | 0.00123670i | ||||
\(13\) | 3.07974 | − | 3.07974i | 0.854166 | − | 0.854166i | −0.136477 | − | 0.990643i | \(-0.543578\pi\) |
0.990643 | + | 0.136477i | \(0.0435781\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.64675 | − | 3.50545i | 0.425190 | − | 0.905104i | ||||
\(16\) | 4.48894 | 1.12224 | ||||||||
\(17\) | 0.850861 | − | 0.850861i | 0.206364 | − | 0.206364i | −0.596356 | − | 0.802720i | \(-0.703385\pi\) |
0.802720 | + | 0.596356i | \(0.203385\pi\) | |||||||
\(18\) | −3.26187 | + | 3.15060i | −0.768830 | + | 0.742603i | ||||
\(19\) | − | 6.87436i | − | 1.57709i | −0.614979 | − | 0.788543i | \(-0.710836\pi\) | ||
0.614979 | − | 0.788543i | \(-0.289164\pi\) | |||||||
\(20\) | 0.266060 | − | 0.579371i | 0.0594928 | − | 0.129551i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.977102 | + | 0.977102i | 0.208319 | + | 0.208319i | ||||
\(23\) | −1.38222 | − | 1.38222i | −0.288212 | − | 0.288212i | 0.548161 | − | 0.836373i | \(-0.315328\pi\) |
−0.836373 | + | 0.548161i | \(0.815328\pi\) | |||||||
\(24\) | 3.20235 | − | 3.14727i | 0.653678 | − | 0.642434i | ||||
\(25\) | 3.25842 | + | 3.79245i | 0.651685 | + | 0.758490i | ||||
\(26\) | − | 6.58390i | − | 1.29121i | ||||||
\(27\) | −0.135217 | + | 5.19439i | −0.0260225 | + | 0.999661i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.72261 | −0.505576 | −0.252788 | − | 0.967522i | \(-0.581348\pi\) | ||||
−0.252788 | + | 0.967522i | \(0.581348\pi\) | |||||||
\(30\) | −1.98678 | − | 5.50722i | −0.362734 | − | 1.00548i | ||||
\(31\) | 4.63375 | 0.832247 | 0.416123 | − | 0.909308i | \(-0.363388\pi\) | ||||
0.416123 | + | 0.909308i | \(0.363388\pi\) | |||||||
\(32\) | 1.13216 | − | 1.13216i | 0.200139 | − | 0.200139i | ||||
\(33\) | 1.58323 | + | 0.0137351i | 0.275606 | + | 0.00239097i | ||||
\(34\) | − | 1.81898i | − | 0.311952i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0148398 | + | 0.855222i | −0.00247330 | + | 0.142537i | ||||
\(37\) | 0.567326 | + | 0.567326i | 0.0932678 | + | 0.0932678i | 0.752201 | − | 0.658933i | \(-0.228992\pi\) |
−0.658933 | + | 0.752201i | \(0.728992\pi\) | |||||||
\(38\) | −7.34804 | − | 7.34804i | −1.19201 | − | 1.19201i | ||||
\(39\) | −5.28779 | − | 5.38034i | −0.846724 | − | 0.861544i | ||||
\(40\) | 2.01431 | + | 5.43536i | 0.318490 | + | 0.859407i | ||||
\(41\) | − | 0.922837i | − | 0.144123i | −0.997400 | − | 0.0720615i | \(-0.977042\pi\) | ||
0.997400 | − | 0.0720615i | \(-0.0229578\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.80893 | + | 4.80893i | −0.733355 | + | 0.733355i | −0.971283 | − | 0.237928i | \(-0.923532\pi\) |
0.237928 | + | 0.971283i | \(0.423532\pi\) | |||||||
\(44\) | 0.260630 | 0.0392914 | ||||||||
\(45\) | −6.04665 | − | 2.90482i | −0.901382 | − | 0.433026i | ||||
\(46\) | −2.95492 | −0.435679 | ||||||||
\(47\) | −7.41129 | + | 7.41129i | −1.08105 | + | 1.08105i | −0.0846364 | + | 0.996412i | \(0.526973\pi\) |
−0.996412 | + | 0.0846364i | \(0.973027\pi\) | |||||||
\(48\) | 0.0674490 | − | 7.77478i | 0.00973542 | − | 1.12219i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 7.53672 | + | 0.570823i | 1.06585 | + | 0.0807265i | ||||
\(51\) | −1.46089 | − | 1.48646i | −0.204566 | − | 0.208147i | ||||
\(52\) | −0.878086 | − | 0.878086i | −0.121769 | − | 0.121769i | ||||
\(53\) | 7.79887 | + | 7.79887i | 1.07126 | + | 1.07126i | 0.997258 | + | 0.0739991i | \(0.0235762\pi\) |
0.0739991 | + | 0.997258i | \(0.476424\pi\) | |||||||
\(54\) | 5.40778 | + | 5.69685i | 0.735906 | + | 0.775243i | ||||
\(55\) | −0.853015 | + | 1.85752i | −0.115021 | + | 0.250468i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −11.9063 | − | 0.103291i | −1.57703 | − | 0.0136813i | ||||
\(58\) | −2.91021 | + | 2.91021i | −0.382130 | + | 0.382130i | ||||
\(59\) | −9.88045 | −1.28633 | −0.643163 | − | 0.765730i | \(-0.722378\pi\) | ||||
−0.643163 | + | 0.765730i | \(0.722378\pi\) | |||||||
\(60\) | −0.999464 | − | 0.469517i | −0.129030 | − | 0.0606144i | ||||
\(61\) | −1.06789 | −0.136729 | −0.0683645 | − | 0.997660i | \(-0.521778\pi\) | ||||
−0.0683645 | + | 0.997660i | \(0.521778\pi\) | |||||||
\(62\) | 4.95304 | − | 4.95304i | 0.629037 | − | 0.629037i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.55754i | 0.819693i | ||||||||
\(65\) | 9.13206 | − | 3.38428i | 1.13269 | − | 0.419768i | ||||
\(66\) | 1.70701 | − | 1.67764i | 0.210118 | − | 0.206504i | ||||
\(67\) | −5.00326 | − | 5.00326i | −0.611246 | − | 0.611246i | 0.332025 | − | 0.943271i | \(-0.392268\pi\) |
−0.943271 | + | 0.332025i | \(0.892268\pi\) | |||||||
\(68\) | −0.242595 | − | 0.242595i | −0.0294189 | − | 0.0294189i | ||||
\(69\) | −2.41475 | + | 2.37321i | −0.290701 | + | 0.285701i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 0.557759i | − | 0.0661938i | −0.999452 | − | 0.0330969i | \(-0.989463\pi\) | ||
0.999452 | − | 0.0330969i | \(-0.0105370\pi\) | |||||||
\(72\) | −5.40291 | − | 5.59372i | −0.636739 | − | 0.659226i | ||||
\(73\) | −1.54128 | + | 1.54128i | −0.180393 | + | 0.180393i | −0.791527 | − | 0.611134i | \(-0.790714\pi\) |
0.611134 | + | 0.791527i | \(0.290714\pi\) | |||||||
\(74\) | 1.21284 | 0.140989 | ||||||||
\(75\) | 6.61743 | − | 5.58656i | 0.764115 | − | 0.645080i | ||||
\(76\) | −1.96000 | −0.224827 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −11.4032 | − | 0.0989269i | −1.29116 | − | 0.0112013i | ||||
\(79\) | − | 3.03113i | − | 0.341029i | −0.985355 | − | 0.170514i | \(-0.945457\pi\) | ||
0.985355 | − | 0.170514i | \(-0.0545429\pi\) | |||||||
\(80\) | 9.12174 | + | 4.18890i | 1.01984 | + | 0.468334i | ||||
\(81\) | 8.99458 | + | 0.312242i | 0.999398 | + | 0.0346936i | ||||
\(82\) | −0.986425 | − | 0.986425i | −0.108932 | − | 0.108932i | ||||
\(83\) | 2.38102 | + | 2.38102i | 0.261351 | + | 0.261351i | 0.825603 | − | 0.564252i | \(-0.190835\pi\) |
−0.564252 | + | 0.825603i | \(0.690835\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.52298 | − | 0.934999i | 0.273655 | − | 0.101415i | ||||
\(86\) | 10.2806i | 1.10858i | ||||||||
\(87\) | −0.0409088 | + | 4.71552i | −0.00438589 | + | 0.505557i | ||||
\(88\) | −1.67562 | + | 1.67562i | −0.178621 | + | 0.178621i | ||||
\(89\) | −11.2945 | −1.19721 | −0.598607 | − | 0.801043i | \(-0.704279\pi\) | ||||
−0.598607 | + | 0.801043i | \(0.704279\pi\) | |||||||
\(90\) | −9.56828 | + | 3.35832i | −1.00859 | + | 0.353998i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.394093 | + | 0.394093i | −0.0410871 | + | 0.0410871i | ||||
\(93\) | 0.0696248 | − | 8.02560i | 0.00721976 | − | 0.832216i | ||||
\(94\) | 15.8439i | 1.63418i | ||||||||
\(95\) | 6.41488 | − | 13.9690i | 0.658153 | − | 1.43319i | ||||
\(96\) | −1.94387 | − | 1.97789i | −0.198396 | − | 0.201868i | ||||
\(97\) | −1.58805 | − | 1.58805i | −0.161242 | − | 0.161242i | 0.621875 | − | 0.783117i | \(-0.286371\pi\) |
−0.783117 | + | 0.621875i | \(0.786371\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.0475780 | − | 2.74193i | 0.00478177 | − | 0.275574i | ||||
\(100\) | 1.08129 | − | 0.929032i | 0.108129 | − | 0.0929032i | ||||
\(101\) | 4.64534i | 0.462229i | 0.972927 | + | 0.231114i | \(0.0742372\pi\) | ||||
−0.972927 | + | 0.231114i | \(0.925763\pi\) | |||||||
\(102\) | −3.15045 | − | 0.0273312i | −0.311941 | − | 0.00270619i | ||||
\(103\) | −7.44634 | + | 7.44634i | −0.733710 | + | 0.733710i | −0.971353 | − | 0.237643i | \(-0.923625\pi\) |
0.237643 | + | 0.971353i | \(0.423625\pi\) | |||||||
\(104\) | 11.2906 | 1.10714 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 16.6725 | 1.61938 | ||||||||
\(107\) | 4.47393 | − | 4.47393i | 0.432511 | − | 0.432511i | −0.456971 | − | 0.889482i | \(-0.651066\pi\) |
0.889482 | + | 0.456971i | \(0.151066\pi\) | |||||||
\(108\) | 1.48101 | + | 0.0385526i | 0.142510 | + | 0.00370972i | ||||
\(109\) | 8.61909i | 0.825559i | 0.910831 | + | 0.412779i | \(0.135442\pi\) | ||||
−0.910831 | + | 0.412779i | \(0.864558\pi\) | |||||||
\(110\) | 1.07372 | + | 2.89731i | 0.102376 | + | 0.276248i | ||||
\(111\) | 0.991125 | − | 0.974076i | 0.0940734 | − | 0.0924552i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.44178 | − | 7.44178i | −0.700064 | − | 0.700064i | 0.264360 | − | 0.964424i | \(-0.414839\pi\) |
−0.964424 | + | 0.264360i | \(0.914839\pi\) | |||||||
\(114\) | −12.8371 | + | 12.6163i | −1.20231 | + | 1.18162i | ||||
\(115\) | −1.51890 | − | 4.09856i | −0.141638 | − | 0.382192i | ||||
\(116\) | 0.776263i | 0.0720742i | ||||||||
\(117\) | −9.39812 | + | 9.07753i | −0.868857 | + | 0.839218i | ||||
\(118\) | −10.5613 | + | 10.5613i | −0.972243 | + | 0.972243i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 9.44424 | − | 3.40709i | 0.862137 | − | 0.311023i | ||||
\(121\) | 10.1644 | 0.924036 | ||||||||
\(122\) | −1.14147 | + | 1.14147i | −0.103344 | + | 0.103344i | ||||
\(123\) | −1.59834 | − | 0.0138662i | −0.144118 | − | 0.00125027i | ||||
\(124\) | − | 1.32116i | − | 0.118644i | ||||||
\(125\) | 3.08230 | + | 10.7471i | 0.275690 | + | 0.961247i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.42895 | − | 4.42895i | −0.393006 | − | 0.393006i | 0.482752 | − | 0.875757i | \(-0.339637\pi\) |
−0.875757 | + | 0.482752i | \(0.839637\pi\) | |||||||
\(128\) | 9.27371 | + | 9.27371i | 0.819688 | + | 0.819688i | ||||
\(129\) | 8.25674 | + | 8.40126i | 0.726966 | + | 0.739690i | ||||
\(130\) | 6.14383 | − | 13.3788i | 0.538850 | − | 1.17340i | ||||
\(131\) | − | 8.51315i | − | 0.743797i | −0.928273 | − | 0.371899i | \(-0.878707\pi\) | ||
0.928273 | − | 0.371899i | \(-0.121293\pi\) | |||||||
\(132\) | 0.00391611 | − | 0.451407i | 0.000340854 | − | 0.0392899i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.6960 | −0.923996 | ||||||||
\(135\) | −5.12197 | + | 10.4291i | −0.440829 | + | 0.897591i | ||||
\(136\) | 3.11934 | 0.267481 | ||||||||
\(137\) | −7.30622 | + | 7.30622i | −0.624212 | + | 0.624212i | −0.946606 | − | 0.322393i | \(-0.895513\pi\) |
0.322393 | + | 0.946606i | \(0.395513\pi\) | |||||||
\(138\) | −0.0443993 | + | 5.11787i | −0.00377952 | + | 0.435662i | ||||
\(139\) | − | 3.03547i | − | 0.257465i | −0.991679 | − | 0.128733i | \(-0.958909\pi\) | ||
0.991679 | − | 0.128733i | \(-0.0410909\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.7249 | + | 12.9476i | 1.07163 | + | 1.09039i | ||||
\(142\) | −0.596191 | − | 0.596191i | −0.0500313 | − | 0.0500313i | ||||
\(143\) | 2.81523 | + | 2.81523i | 0.235422 | + | 0.235422i | ||||
\(144\) | −13.4648 | − | 0.233641i | −1.12207 | − | 0.0194701i | ||||
\(145\) | −5.53247 | − | 2.54063i | −0.459447 | − | 0.210988i | ||||
\(146\) | 3.29496i | 0.272693i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.161754 | − | 0.161754i | 0.0132961 | − | 0.0132961i | ||||
\(149\) | 12.8801 | 1.05518 | 0.527590 | − | 0.849499i | \(-0.323096\pi\) | ||||
0.527590 | + | 0.849499i | \(0.323096\pi\) | |||||||
\(150\) | 1.10190 | − | 13.0449i | 0.0899698 | − | 1.06511i | ||||
\(151\) | 11.8988 | 0.968309 | 0.484154 | − | 0.874983i | \(-0.339127\pi\) | ||||
0.484154 | + | 0.874983i | \(0.339127\pi\) | |||||||
\(152\) | 12.6010 | − | 12.6010i | 1.02208 | − | 1.02208i | ||||
\(153\) | −2.59648 | + | 2.50791i | −0.209913 | + | 0.202753i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.41600 | + | 4.32404i | 0.756312 | + | 0.347315i | ||||
\(156\) | −1.53403 | + | 1.50764i | −0.122820 | + | 0.120708i | ||||
\(157\) | −9.83758 | − | 9.83758i | −0.785124 | − | 0.785124i | 0.195566 | − | 0.980691i | \(-0.437346\pi\) |
−0.980691 | + | 0.195566i | \(0.937346\pi\) | |||||||
\(158\) | −3.23999 | − | 3.23999i | −0.257760 | − | 0.257760i | ||||
\(159\) | 13.6247 | − | 13.3904i | 1.08051 | − | 1.06192i | ||||
\(160\) | 3.35709 | − | 1.24411i | 0.265401 | − | 0.0983558i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.94811 | − | 9.28060i | 0.781598 | − | 0.729153i | ||||
\(163\) | −17.0369 | + | 17.0369i | −1.33443 | + | 1.33443i | −0.433075 | + | 0.901358i | \(0.642571\pi\) |
−0.901358 | + | 0.433075i | \(0.857429\pi\) | |||||||
\(164\) | −0.263116 | −0.0205459 | ||||||||
\(165\) | 3.20439 | + | 1.50532i | 0.249461 | + | 0.117189i | ||||
\(166\) | 5.09016 | 0.395073 | ||||||||
\(167\) | −4.98846 | + | 4.98846i | −0.386018 | + | 0.386018i | −0.873265 | − | 0.487246i | \(-0.838001\pi\) |
0.487246 | + | 0.873265i | \(0.338001\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 5.96958i | − | 0.459199i | ||||||
\(170\) | 1.69740 | − | 3.69625i | 0.130185 | − | 0.283489i | ||||
\(171\) | −0.357798 | + | 20.6200i | −0.0273615 | + | 1.57685i | ||||
\(172\) | 1.37111 | + | 1.37111i | 0.104546 | + | 0.104546i | ||||
\(173\) | 17.0165 | + | 17.0165i | 1.29374 | + | 1.29374i | 0.932454 | + | 0.361288i | \(0.117663\pi\) |
0.361288 | + | 0.932454i | \(0.382337\pi\) | |||||||
\(174\) | 4.99672 | + | 5.08418i | 0.378800 | + | 0.385430i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.10341i | 0.309306i | ||||||||
\(177\) | −0.148459 | + | 17.1128i | −0.0111589 | + | 1.28628i | ||||
\(178\) | −12.0728 | + | 12.0728i | −0.904891 | + | 0.904891i | ||||
\(179\) | 5.11855 | 0.382578 | 0.191289 | − | 0.981534i | \(-0.438733\pi\) | ||||
0.191289 | + | 0.981534i | \(0.438733\pi\) | |||||||
\(180\) | −0.828214 | + | 1.72400i | −0.0617315 | + | 0.128500i | ||||
\(181\) | −1.77024 | −0.131581 | −0.0657906 | − | 0.997833i | \(-0.520957\pi\) | ||||
−0.0657906 | + | 0.997833i | \(0.520957\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.0160456 | + | 1.84957i | −0.00118613 | + | 0.136724i | ||||
\(184\) | − | 5.06734i | − | 0.373569i | ||||||
\(185\) | 0.623427 | + | 1.68224i | 0.0458352 | + | 0.123681i | ||||
\(186\) | −8.50418 | − | 8.65302i | −0.623557 | − | 0.634471i | ||||
\(187\) | 0.777784 | + | 0.777784i | 0.0568772 | + | 0.0568772i | ||||
\(188\) | 2.11309 | + | 2.11309i | 0.154113 | + | 0.154113i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.07466 | − | 21.7885i | −0.585797 | − | 1.58070i | ||||
\(191\) | 9.17909i | 0.664176i | 0.943248 | + | 0.332088i | \(0.107753\pi\) | ||||
−0.943248 | + | 0.332088i | \(0.892247\pi\) | |||||||
\(192\) | 11.3576 | + | 0.0985309i | 0.819662 | + | 0.00711085i | ||||
\(193\) | −5.01626 | + | 5.01626i | −0.361079 | + | 0.361079i | −0.864210 | − | 0.503131i | \(-0.832181\pi\) |
0.503131 | + | 0.864210i | \(0.332181\pi\) | |||||||
\(194\) | −3.39495 | −0.243743 | ||||||||
\(195\) | −5.72431 | − | 15.8674i | −0.409927 | − | 1.13629i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.5538 | − | 12.5538i | 0.894420 | − | 0.894420i | −0.100516 | − | 0.994935i | \(-0.532049\pi\) |
0.994935 | + | 0.100516i | \(0.0320493\pi\) | |||||||
\(198\) | −2.88001 | − | 2.98172i | −0.204673 | − | 0.211902i | ||||
\(199\) | − | 17.2165i | − | 1.22044i | −0.792230 | − | 0.610222i | \(-0.791080\pi\) | ||
0.792230 | − | 0.610222i | \(-0.208920\pi\) | |||||||
\(200\) | −0.978894 | + | 12.9246i | −0.0692183 | + | 0.913906i | ||||
\(201\) | −8.74076 | + | 8.59040i | −0.616525 | + | 0.605920i | ||||
\(202\) | 4.96543 | + | 4.96543i | 0.349367 | + | 0.349367i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.423816 | + | 0.416526i | −0.0296731 | + | 0.0291626i | ||||
\(205\) | 0.861155 | − | 1.87525i | 0.0601457 | − | 0.130973i | ||||
\(206\) | 15.9189i | 1.10912i | ||||||||
\(207\) | 4.07408 | + | 4.21797i | 0.283168 | + | 0.293169i | ||||
\(208\) | 13.8248 | − | 13.8248i | 0.958575 | − | 0.958575i | ||||
\(209\) | 6.28395 | 0.434670 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.75343 | −0.671454 | −0.335727 | − | 0.941959i | \(-0.608982\pi\) | ||||
−0.335727 | + | 0.941959i | \(0.608982\pi\) | |||||||
\(212\) | 2.22359 | − | 2.22359i | 0.152717 | − | 0.152717i | ||||
\(213\) | −0.966030 | − | 0.00838065i | −0.0661913 | − | 0.000574233i | ||||
\(214\) | − | 9.56442i | − | 0.653810i | ||||||
\(215\) | −14.2595 | + | 5.28447i | −0.972488 | + | 0.360398i | ||||
\(216\) | −9.76943 | + | 9.27371i | −0.664725 | + | 0.630996i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 9.21299 | + | 9.21299i | 0.623982 | + | 0.623982i | ||||
\(219\) | 2.64631 | + | 2.69263i | 0.178821 | + | 0.181951i | ||||
\(220\) | 0.529611 | + | 0.243209i | 0.0357064 | + | 0.0163972i | ||||
\(221\) | − | 5.24086i | − | 0.352538i | ||||||
\(222\) | 0.0182236 | − | 2.10061i | 0.00122308 | − | 0.140984i | ||||
\(223\) | 9.17286 | − | 9.17286i | 0.614260 | − | 0.614260i | −0.329793 | − | 0.944053i | \(-0.606979\pi\) |
0.944053 | + | 0.329793i | \(0.106979\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.57641 | − | 11.5452i | −0.638427 | − | 0.769682i | ||||
\(226\) | −15.9091 | −1.05826 | ||||||||
\(227\) | 16.9999 | − | 16.9999i | 1.12832 | − | 1.12832i | 0.137870 | − | 0.990450i | \(-0.455974\pi\) |
0.990450 | − | 0.137870i | \(-0.0440258\pi\) | |||||||
\(228\) | −0.0294501 | + | 3.39469i | −0.00195038 | + | 0.224819i | ||||
\(229\) | 3.25690i | 0.215222i | 0.994193 | + | 0.107611i | \(0.0343201\pi\) | ||||
−0.994193 | + | 0.107611i | \(0.965680\pi\) | |||||||
\(230\) | −6.00453 | − | 2.75741i | −0.395927 | − | 0.181818i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.99068 | − | 4.99068i | −0.327654 | − | 0.327654i | ||||
\(233\) | −11.7937 | − | 11.7937i | −0.772630 | − | 0.772630i | 0.205935 | − | 0.978566i | \(-0.433976\pi\) |
−0.978566 | + | 0.205935i | \(0.933976\pi\) | |||||||
\(234\) | −0.342680 | + | 19.7487i | −0.0224017 | + | 1.29101i | ||||
\(235\) | −21.9760 | + | 8.14417i | −1.43356 | + | 0.531267i | ||||
\(236\) | 2.81708i | 0.183377i | ||||||||
\(237\) | −5.24987 | − | 0.0455445i | −0.341016 | − | 0.00295843i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.1824 | −0.982070 | −0.491035 | − | 0.871140i | \(-0.663381\pi\) | ||||
−0.491035 | + | 0.871140i | \(0.663381\pi\) | |||||||
\(240\) | 7.39218 | − | 15.7358i | 0.477163 | − | 1.01574i | ||||
\(241\) | 0.118764 | 0.00765029 | 0.00382515 | − | 0.999993i | \(-0.498782\pi\) | ||||
0.00382515 | + | 0.999993i | \(0.498782\pi\) | |||||||
\(242\) | 10.8648 | − | 10.8648i | 0.698414 | − | 0.698414i | ||||
\(243\) | 0.675948 | − | 15.5738i | 0.0433621 | − | 0.999059i | ||||
\(244\) | 0.304473i | 0.0194919i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.72330 | + | 1.69365i | −0.109873 | + | 0.107983i | ||||
\(247\) | −21.1712 | − | 21.1712i | −1.34709 | − | 1.34709i | ||||
\(248\) | 8.49389 | + | 8.49389i | 0.539363 | + | 0.539363i | ||||
\(249\) | 4.15966 | − | 4.08811i | 0.263608 | − | 0.259074i | ||||
\(250\) | 14.7823 | + | 8.19290i | 0.934914 | + | 0.518165i | ||||
\(251\) | − | 16.8255i | − | 1.06202i | −0.847367 | − | 0.531008i | \(-0.821813\pi\) | ||
0.847367 | − | 0.531008i | \(-0.178187\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.26350 | − | 1.26350i | 0.0794358 | − | 0.0794358i | ||||
\(254\) | −9.46825 | −0.594091 | ||||||||
\(255\) | −1.58150 | − | 4.38381i | −0.0990371 | − | 0.274525i | ||||
\(256\) | 6.71035 | 0.419397 | ||||||||
\(257\) | 9.84080 | − | 9.84080i | 0.613852 | − | 0.613852i | −0.330095 | − | 0.943948i | \(-0.607081\pi\) |
0.943948 | + | 0.330095i | \(0.107081\pi\) | |||||||
\(258\) | 17.8058 | + | 0.154472i | 1.10854 | + | 0.00961699i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.964916 | − | 2.60371i | −0.0598416 | − | 0.161475i | ||||
\(261\) | 8.16661 | + | 0.141707i | 0.505500 | + | 0.00877144i | ||||
\(262\) | −9.09975 | − | 9.09975i | −0.562185 | − | 0.562185i | ||||
\(263\) | −15.2095 | − | 15.2095i | −0.937859 | − | 0.937859i | 0.0603201 | − | 0.998179i | \(-0.480788\pi\) |
−0.998179 | + | 0.0603201i | \(0.980788\pi\) | |||||||
\(264\) | 2.87696 | + | 2.92732i | 0.177065 | + | 0.180164i | ||||
\(265\) | 8.57007 | + | 23.1253i | 0.526455 | + | 1.42057i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.169706 | + | 19.5619i | −0.0103859 | + | 1.19717i | ||||
\(268\) | −1.42652 | + | 1.42652i | −0.0871383 | + | 0.0871383i | ||||
\(269\) | −18.8824 | −1.15128 | −0.575639 | − | 0.817704i | \(-0.695247\pi\) | ||||
−0.575639 | + | 0.817704i | \(0.695247\pi\) | |||||||
\(270\) | 5.67279 | + | 16.6226i | 0.345235 | + | 1.01162i | ||||
\(271\) | −3.71182 | −0.225477 | −0.112739 | − | 0.993625i | \(-0.535962\pi\) | ||||
−0.112739 | + | 0.993625i | \(0.535962\pi\) | |||||||
\(272\) | 3.81947 | − | 3.81947i | 0.231589 | − | 0.231589i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.6193i | 0.943597i | ||||||||
\(275\) | −3.46673 | + | 2.97857i | −0.209052 | + | 0.179615i | ||||
\(276\) | 0.676642 | + | 0.688485i | 0.0407291 | + | 0.0414420i | ||||
\(277\) | 5.34687 | + | 5.34687i | 0.321263 | + | 0.321263i | 0.849251 | − | 0.527989i | \(-0.177054\pi\) |
−0.527989 | + | 0.849251i | \(0.677054\pi\) | |||||||
\(278\) | −3.24463 | − | 3.24463i | −0.194600 | − | 0.194600i | ||||
\(279\) | −13.8992 | − | 0.241178i | −0.832122 | − | 0.0144390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.0546i | 0.719117i | 0.933122 | + | 0.359559i | \(0.117073\pi\) | ||||
−0.933122 | + | 0.359559i | \(0.882927\pi\) | |||||||
\(282\) | 27.4415 | + | 0.238064i | 1.63412 | + | 0.0141765i | ||||
\(283\) | −16.9801 | + | 16.9801i | −1.00936 | + | 1.00936i | −0.00940506 | + | 0.999956i | \(0.502994\pi\) |
−0.999956 | + | 0.00940506i | \(0.997006\pi\) | |||||||
\(284\) | −0.159026 | −0.00943649 | ||||||||
\(285\) | −24.0978 | − | 11.3204i | −1.42743 | − | 0.670561i | ||||
\(286\) | 6.01844 | 0.355878 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.45489 | + | 3.33704i | −0.203581 | + | 0.196637i | ||||
\(289\) | 15.5521i | 0.914828i | ||||||||
\(290\) | −8.62939 | + | 3.19799i | −0.506735 | + | 0.187793i | ||||
\(291\) | −2.77434 | + | 2.72662i | −0.162635 | + | 0.159837i | ||||
\(292\) | 0.439445 | + | 0.439445i | 0.0257165 | + | 0.0257165i | ||||
\(293\) | 12.2498 | + | 12.2498i | 0.715644 | + | 0.715644i | 0.967710 | − | 0.252066i | \(-0.0811101\pi\) |
−0.252066 | + | 0.967710i | \(0.581110\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −20.0775 | − | 9.22004i | −1.16896 | − | 0.536812i | ||||
\(296\) | 2.07987i | 0.120890i | ||||||||
\(297\) | −4.74827 | − | 0.123604i | −0.275523 | − | 0.00717220i | ||||
\(298\) | 13.7676 | − | 13.7676i | 0.797538 | − | 0.797538i | ||||
\(299\) | −8.51373 | −0.492362 | ||||||||
\(300\) | −1.59282 | − | 1.88674i | −0.0919617 | − | 0.108931i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.7187 | − | 12.7187i | 0.731877 | − | 0.731877i | ||||
\(303\) | 8.04567 | + | 0.0697990i | 0.462212 | + | 0.00400985i | ||||
\(304\) | − | 30.8586i | − | 1.76986i | ||||||
\(305\) | −2.17000 | − | 0.996511i | −0.124254 | − | 0.0570600i | ||||
\(306\) | −0.0946746 | + | 5.45612i | −0.00541218 | + | 0.311905i | ||||
\(307\) | −12.5028 | − | 12.5028i | −0.713571 | − | 0.713571i | 0.253709 | − | 0.967280i | \(-0.418349\pi\) |
−0.967280 | + | 0.253709i | \(0.918349\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 12.7851 | + | 13.0088i | 0.727317 | + | 0.740047i | ||||
\(310\) | 14.6868 | − | 5.44283i | 0.834154 | − | 0.309132i | ||||
\(311\) | − | 23.4396i | − | 1.32914i | −0.747227 | − | 0.664569i | \(-0.768615\pi\) | ||
0.747227 | − | 0.664569i | \(-0.231385\pi\) | |||||||
\(312\) | 0.169648 | − | 19.5552i | 0.00960443 | − | 1.10709i | ||||
\(313\) | −7.49546 | + | 7.49546i | −0.423668 | + | 0.423668i | −0.886465 | − | 0.462796i | \(-0.846846\pi\) |
0.462796 | + | 0.886465i | \(0.346846\pi\) | |||||||
\(314\) | −21.0309 | −1.18684 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.864226 | −0.0486165 | ||||||||
\(317\) | −14.5259 | + | 14.5259i | −0.815858 | + | 0.815858i | −0.985505 | − | 0.169647i | \(-0.945737\pi\) |
0.169647 | + | 0.985505i | \(0.445737\pi\) | |||||||
\(318\) | 0.250514 | − | 28.8765i | 0.0140481 | − | 1.61932i | ||||
\(319\) | − | 2.48878i | − | 0.139345i | ||||||
\(320\) | −6.11924 | + | 13.3252i | −0.342076 | + | 0.744903i | ||||
\(321\) | −7.68156 | − | 7.81601i | −0.428743 | − | 0.436247i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.84912 | − | 5.84912i | −0.325454 | − | 0.325454i | ||||
\(324\) | 0.0890255 | − | 2.56451i | 0.00494586 | − | 0.142473i | ||||
\(325\) | 21.7148 | + | 1.64466i | 1.20452 | + | 0.0912293i | ||||
\(326\) | 36.4217i | 2.01721i | ||||||||
\(327\) | 14.9281 | + | 0.129507i | 0.825528 | + | 0.00716174i | ||||
\(328\) | 1.69160 | − | 1.69160i | 0.0934032 | − | 0.0934032i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.03423 | − | 1.81614i | 0.277125 | − | 0.0999752i | ||||
\(331\) | 31.9317 | 1.75513 | 0.877564 | − | 0.479460i | \(-0.159168\pi\) | ||||
0.877564 | + | 0.479460i | \(0.159168\pi\) | |||||||
\(332\) | 0.678868 | − | 0.678868i | 0.0372577 | − | 0.0372577i | ||||
\(333\) | −1.67219 | − | 1.73125i | −0.0916356 | − | 0.0948719i | ||||
\(334\) | 10.6644i | 0.583529i | ||||||||
\(335\) | −5.49802 | − | 14.8357i | −0.300389 | − | 0.810561i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.40161 | + | 9.40161i | 0.512139 | + | 0.512139i | 0.915181 | − | 0.403043i | \(-0.132047\pi\) |
−0.403043 | + | 0.915181i | \(0.632047\pi\) | |||||||
\(338\) | −6.38092 | − | 6.38092i | −0.347076 | − | 0.347076i | ||||
\(339\) | −13.0009 | + | 12.7772i | −0.706111 | + | 0.693964i | ||||
\(340\) | −0.266584 | − | 0.719344i | −0.0144576 | − | 0.0390119i | ||||
\(341\) | 4.23578i | 0.229380i | ||||||||
\(342\) | 21.6584 | + | 22.4233i | 1.17115 | + | 1.21251i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −17.6300 | −0.950546 | ||||||||
\(345\) | −7.12146 | + | 2.56913i | −0.383407 | + | 0.138317i | ||||
\(346\) | 36.3781 | 1.95570 | ||||||||
\(347\) | −11.3727 | + | 11.3727i | −0.610520 | + | 0.610520i | −0.943082 | − | 0.332561i | \(-0.892087\pi\) |
0.332561 | + | 0.943082i | \(0.392087\pi\) | |||||||
\(348\) | 1.34448 | + | 0.0116638i | 0.0720715 | + | 0.000625245i | ||||
\(349\) | − | 9.21013i | − | 0.493007i | −0.969142 | − | 0.246503i | \(-0.920718\pi\) | ||
0.969142 | − | 0.246503i | \(-0.0792817\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.5809 | + | 16.4138i | 0.831649 | + | 0.876104i | ||||
\(352\) | 1.03492 | + | 1.03492i | 0.0551616 | + | 0.0551616i | ||||
\(353\) | −7.38772 | − | 7.38772i | −0.393209 | − | 0.393209i | 0.482621 | − | 0.875829i | \(-0.339685\pi\) |
−0.875829 | + | 0.482621i | \(0.839685\pi\) | |||||||
\(354\) | 18.1333 | + | 18.4506i | 0.963772 | + | 0.980641i | ||||
\(355\) | 0.520478 | − | 1.13339i | 0.0276241 | − | 0.0601542i | ||||
\(356\) | 3.22025i | 0.170673i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.47124 | − | 5.47124i | 0.289164 | − | 0.289164i | ||||
\(359\) | 1.54177 | 0.0813713 | 0.0406857 | − | 0.999172i | \(-0.487046\pi\) | ||||
0.0406857 | + | 0.999172i | \(0.487046\pi\) | |||||||
\(360\) | −5.75912 | − | 16.4085i | −0.303532 | − | 0.864803i | ||||
\(361\) | −28.2568 | −1.48720 | ||||||||
\(362\) | −1.89222 | + | 1.89222i | −0.0994530 | + | 0.0994530i | ||||
\(363\) | 0.152726 | − | 17.6046i | 0.00801603 | − | 0.924001i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.57021 | + | 1.69369i | −0.239216 | + | 0.0886517i | ||||
\(366\) | 1.95986 | + | 1.99416i | 0.102444 | + | 0.104237i | ||||
\(367\) | 11.3381 | + | 11.3381i | 0.591844 | + | 0.591844i | 0.938129 | − | 0.346285i | \(-0.112557\pi\) |
−0.346285 | + | 0.938129i | \(0.612557\pi\) | |||||||
\(368\) | −6.20469 | − | 6.20469i | −0.323442 | − | 0.323442i | ||||
\(369\) | −0.0480320 | + | 2.76809i | −0.00250045 | + | 0.144101i | ||||
\(370\) | 2.46454 | + | 1.13177i | 0.128125 | + | 0.0588379i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.28823 | − | 0.0198512i | −0.118639 | − | 0.00102924i | ||||
\(373\) | 19.8427 | − | 19.8427i | 1.02742 | − | 1.02742i | 0.0278035 | − | 0.999613i | \(-0.491149\pi\) |
0.999613 | − | 0.0278035i | \(-0.00885126\pi\) | |||||||
\(374\) | 1.66276 | 0.0859790 | ||||||||
\(375\) | 18.6601 | − | 5.17703i | 0.963602 | − | 0.267341i | ||||
\(376\) | −27.1705 | −1.40121 | ||||||||
\(377\) | −8.38493 | + | 8.38493i | −0.431846 | + | 0.431846i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.6208i | 0.956485i | 0.878228 | + | 0.478243i | \(0.158726\pi\) | ||||
−0.878228 | + | 0.478243i | \(0.841274\pi\) | |||||||
\(380\) | −3.98280 | − | 1.82899i | −0.204314 | − | 0.0938253i | ||||
\(381\) | −7.73742 | + | 7.60433i | −0.396400 | + | 0.389582i | ||||
\(382\) | 9.81158 | + | 9.81158i | 0.502004 | + | 0.502004i | ||||
\(383\) | −11.4679 | − | 11.4679i | −0.585984 | − | 0.585984i | 0.350557 | − | 0.936541i | \(-0.385992\pi\) |
−0.936541 | + | 0.350557i | \(0.885992\pi\) | |||||||
\(384\) | 16.2013 | − | 15.9226i | 0.826768 | − | 0.812546i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.7238i | 0.545828i | ||||||||
\(387\) | 14.6749 | − | 14.1743i | 0.745968 | − | 0.720522i | ||||
\(388\) | −0.452781 | + | 0.452781i | −0.0229864 | + | 0.0229864i | ||||
\(389\) | 33.4890 | 1.69796 | 0.848980 | − | 0.528426i | \(-0.177217\pi\) | ||||
0.848980 | + | 0.528426i | \(0.177217\pi\) | |||||||
\(390\) | −23.0795 | − | 10.8421i | −1.16868 | − | 0.549009i | ||||
\(391\) | −2.35215 | −0.118953 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −14.7447 | − | 0.127915i | −0.743769 | − | 0.00645246i | ||||
\(394\) | − | 26.8376i | − | 1.35206i | ||||||
\(395\) | 2.82853 | − | 6.15939i | 0.142319 | − | 0.309913i | ||||
\(396\) | −0.781771 | − | 0.0135653i | −0.0392855 | − | 0.000681682i | ||||
\(397\) | 7.51668 | + | 7.51668i | 0.377251 | + | 0.377251i | 0.870110 | − | 0.492858i | \(-0.164048\pi\) |
−0.492858 | + | 0.870110i | \(0.664048\pi\) | |||||||
\(398\) | −18.4028 | − | 18.4028i | −0.922449 | − | 0.922449i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.6269 | + | 17.0241i | 0.731344 | + | 0.851204i | ||||
\(401\) | − | 38.4777i | − | 1.92148i | −0.277446 | − | 0.960741i | \(-0.589488\pi\) | ||
0.277446 | − | 0.960741i | \(-0.410512\pi\) | |||||||
\(402\) | −0.160714 | + | 18.5254i | −0.00801569 | + | 0.923961i | ||||
\(403\) | 14.2708 | − | 14.2708i | 0.710877 | − | 0.710877i | ||||
\(404\) | 1.32447 | 0.0658947 | ||||||||
\(405\) | 17.9860 | + | 9.02788i | 0.893733 | + | 0.448599i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.518601 | + | 0.518601i | −0.0257061 | + | 0.0257061i | ||||
\(408\) | 0.0468698 | − | 5.40265i | 0.00232040 | − | 0.267471i | ||||
\(409\) | 0.968600i | 0.0478942i | 0.999713 | + | 0.0239471i | \(0.00762333\pi\) | ||||
−0.999713 | + | 0.0239471i | \(0.992377\pi\) | |||||||
\(410\) | −1.08397 | − | 2.92496i | −0.0535334 | − | 0.144453i | ||||
\(411\) | 12.5445 | + | 12.7640i | 0.618774 | + | 0.629604i | ||||
\(412\) | 2.12308 | + | 2.12308i | 0.104597 | + | 0.104597i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 8.86342 | + | 0.153798i | 0.435613 | + | 0.00755876i | ||||
\(415\) | 2.61647 | + | 7.06021i | 0.128437 | + | 0.346572i | ||||
\(416\) | − | 6.97351i | − | 0.341904i | ||||||
\(417\) | −5.25739 | − | 0.0456097i | −0.257456 | − | 0.00223352i | ||||
\(418\) | 6.71695 | − | 6.71695i | 0.328537 | − | 0.328537i | ||||
\(419\) | −24.3482 | −1.18949 | −0.594743 | − | 0.803916i | \(-0.702746\pi\) | ||||
−0.594743 | + | 0.803916i | \(0.702746\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.75923 | 0.0857395 | 0.0428698 | − | 0.999081i | \(-0.486350\pi\) | ||||
0.0428698 | + | 0.999081i | \(0.486350\pi\) | |||||||
\(422\) | −10.4255 | + | 10.4255i | −0.507505 | + | 0.507505i | ||||
\(423\) | 22.6163 | − | 21.8448i | 1.09964 | − | 1.06213i | ||||
\(424\) | 28.5914i | 1.38852i | ||||||||
\(425\) | 5.99931 | + | 0.454382i | 0.291009 | + | 0.0220407i | ||||
\(426\) | −1.04155 | + | 1.02364i | −0.0504634 | + | 0.0495954i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −1.27559 | − | 1.27559i | −0.0616581 | − | 0.0616581i | ||||
\(429\) | 4.91825 | − | 4.83364i | 0.237455 | − | 0.233371i | ||||
\(430\) | −9.59343 | + | 20.8906i | −0.462636 | + | 1.00744i | ||||
\(431\) | − | 21.4413i | − | 1.03279i | −0.856351 | − | 0.516395i | \(-0.827274\pi\) | ||
0.856351 | − | 0.516395i | \(-0.172726\pi\) | |||||||
\(432\) | −0.606980 | + | 23.3173i | −0.0292033 | + | 1.12186i | ||||
\(433\) | −26.8036 | + | 26.8036i | −1.28810 | + | 1.28810i | −0.352161 | + | 0.935940i | \(0.614553\pi\) |
−0.935940 | + | 0.352161i | \(0.885447\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.48347 | + | 9.54399i | −0.214966 | + | 0.457599i | ||||
\(436\) | 2.45745 | 0.117690 | ||||||||
\(437\) | −9.50185 | + | 9.50185i | −0.454535 | + | 0.454535i | ||||
\(438\) | 5.70682 | + | 0.0495087i | 0.272683 | + | 0.00236562i | ||||
\(439\) | − | 2.37243i | − | 0.113230i | −0.998396 | − | 0.0566149i | \(-0.981969\pi\) | ||
0.998396 | − | 0.0566149i | \(-0.0180307\pi\) | |||||||
\(440\) | −4.96855 | + | 1.84131i | −0.236866 | + | 0.0877810i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.60198 | − | 5.60198i | −0.266459 | − | 0.266459i | ||||
\(443\) | −15.3844 | − | 15.3844i | −0.730933 | − | 0.730933i | 0.239871 | − | 0.970805i | \(-0.422895\pi\) |
−0.970805 | + | 0.239871i | \(0.922895\pi\) | |||||||
\(444\) | −0.277726 | − | 0.282587i | −0.0131803 | − | 0.0134110i | ||||
\(445\) | −22.9509 | − | 10.5396i | −1.08798 | − | 0.499624i | ||||
\(446\) | − | 19.6098i | − | 0.928552i | ||||||
\(447\) | 0.193531 | − | 22.3082i | 0.00915372 | − | 1.05514i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 28.8886 | 1.36334 | 0.681669 | − | 0.731661i | \(-0.261254\pi\) | ||||
0.681669 | + | 0.731661i | \(0.261254\pi\) | |||||||
\(450\) | −22.5770 | − | 2.10448i | −1.06429 | − | 0.0992063i | ||||
\(451\) | 0.843579 | 0.0397226 | ||||||||
\(452\) | −2.12178 | + | 2.12178i | −0.0998000 | + | 0.0998000i | ||||
\(453\) | 0.178786 | − | 20.6085i | 0.00840010 | − | 0.968272i | ||||
\(454\) | − | 36.3425i | − | 1.70564i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −21.6355 | − | 22.0141i | −1.01317 | − | 1.03091i | ||||
\(457\) | −1.39005 | − | 1.39005i | −0.0650239 | − | 0.0650239i | 0.673847 | − | 0.738871i | \(-0.264641\pi\) |
−0.738871 | + | 0.673847i | \(0.764641\pi\) | |||||||
\(458\) | 3.48132 | + | 3.48132i | 0.162671 | + | 0.162671i | ||||
\(459\) | 4.30466 | + | 4.53476i | 0.200924 | + | 0.211664i | ||||
\(460\) | −1.16857 | + | 0.433064i | −0.0544848 | + | 0.0201917i | ||||
\(461\) | − | 17.4281i | − | 0.811709i | −0.913938 | − | 0.405854i | \(-0.866974\pi\) | ||
0.913938 | − | 0.405854i | \(-0.133026\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.8405 | − | 14.8405i | 0.689698 | − | 0.689698i | −0.272467 | − | 0.962165i | \(-0.587840\pi\) |
0.962165 | + | 0.272467i | \(0.0878395\pi\) | |||||||
\(464\) | −12.2216 | −0.567376 | ||||||||
\(465\) | 7.63065 | − | 16.2434i | 0.353863 | − | 0.753270i | ||||
\(466\) | −25.2127 | −1.16795 | ||||||||
\(467\) | 8.91392 | − | 8.91392i | 0.412487 | − | 0.412487i | −0.470117 | − | 0.882604i | \(-0.655788\pi\) |
0.882604 | + | 0.470117i | \(0.155788\pi\) | |||||||
\(468\) | 2.58816 | + | 2.67956i | 0.119638 | + | 0.123863i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −14.7849 | + | 32.1956i | −0.681978 | + | 1.48507i | ||||
\(471\) | −17.1864 | + | 16.8907i | −0.791906 | + | 0.778284i | ||||
\(472\) | −18.1113 | − | 18.1113i | −0.833642 | − | 0.833642i | ||||
\(473\) | −4.39591 | − | 4.39591i | −0.202124 | − | 0.202124i | ||||
\(474\) | −5.66030 | + | 5.56293i | −0.259986 | + | 0.255514i | ||||
\(475\) | 26.0707 | − | 22.3996i | 1.19620 | − | 1.02776i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −22.9872 | − | 23.7990i | −1.05251 | − | 1.08968i | ||||
\(478\) | −16.2286 | + | 16.2286i | −0.742278 | + | 0.742278i | ||||
\(479\) | 10.2879 | 0.470065 | 0.235032 | − | 0.971988i | \(-0.424480\pi\) | ||||
0.235032 | + | 0.971988i | \(0.424480\pi\) | |||||||
\(480\) | −2.10434 | − | 5.83312i | −0.0960498 | − | 0.266244i | ||||
\(481\) | 3.49443 | 0.159332 | ||||||||
\(482\) | 0.126948 | − | 0.126948i | 0.00578232 | − | 0.00578232i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 2.89804i | − | 0.131729i | ||||||
\(485\) | −1.74509 | − | 4.70890i | −0.0792404 | − | 0.213820i | ||||
\(486\) | −15.9244 | − | 17.3694i | −0.722345 | − | 0.787894i | ||||
\(487\) | 13.1841 | + | 13.1841i | 0.597430 | + | 0.597430i | 0.939628 | − | 0.342198i | \(-0.111171\pi\) |
−0.342198 | + | 0.939628i | \(0.611171\pi\) | |||||||
\(488\) | −1.95749 | − | 1.95749i | −0.0886114 | − | 0.0886114i | ||||
\(489\) | 29.2517 | + | 29.7637i | 1.32281 | + | 1.34596i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 24.6940i | − | 1.11442i | −0.830370 | − | 0.557212i | \(-0.811871\pi\) | ||
0.830370 | − | 0.557212i | \(-0.188129\pi\) | |||||||
\(492\) | −0.00395348 | + | 0.455714i | −0.000178237 | + | 0.0205452i | ||||
\(493\) | −2.31656 | + | 2.31656i | −0.104333 | + | 0.104333i | ||||
\(494\) | −45.2601 | −2.03635 | ||||||||
\(495\) | 2.65534 | − | 5.52733i | 0.119349 | − | 0.248435i | ||||
\(496\) | 20.8007 | 0.933977 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0.0764827 | − | 8.81609i | 0.00342727 | − | 0.395058i | ||||
\(499\) | 12.8777i | 0.576483i | 0.957558 | + | 0.288242i | \(0.0930707\pi\) | ||||
−0.957558 | + | 0.288242i | \(0.906929\pi\) | |||||||
\(500\) | 3.06417 | − | 0.878817i | 0.137034 | − | 0.0393019i | ||||
\(501\) | 8.56498 | + | 8.71489i | 0.382655 | + | 0.389352i | ||||
\(502\) | −17.9849 | − | 17.9849i | −0.802704 | − | 0.802704i | ||||
\(503\) | 2.81929 | + | 2.81929i | 0.125706 | + | 0.125706i | 0.767161 | − | 0.641455i | \(-0.221669\pi\) |
−0.641455 | + | 0.767161i | \(0.721669\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.33485 | + | 9.43955i | −0.192898 | + | 0.420055i | ||||
\(506\) | − | 2.70113i | − | 0.120080i | ||||||
\(507\) | −10.3392 | − | 0.0896964i | −0.459181 | − | 0.00398356i | ||||
\(508\) | −1.26277 | + | 1.26277i | −0.0560263 | + | 0.0560263i | ||||
\(509\) | 40.5589 | 1.79774 | 0.898871 | − | 0.438213i | \(-0.144389\pi\) | ||||
0.898871 | + | 0.438213i | \(0.144389\pi\) | |||||||
\(510\) | −6.37635 | − | 2.99541i | −0.282349 | − | 0.132639i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −11.3747 | + | 11.3747i | −0.502695 | + | 0.502695i | ||||
\(513\) | 35.7081 | + | 0.929528i | 1.57655 | + | 0.0410397i | ||||
\(514\) | − | 21.0378i | − | 0.927936i | ||||||
\(515\) | −22.0799 | + | 8.18268i | −0.972958 | + | 0.360572i | ||||
\(516\) | 2.39534 | − | 2.35414i | 0.105449 | − | 0.103635i | ||||
\(517\) | −6.77477 | − | 6.77477i | −0.297954 | − | 0.297954i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 29.7281 | − | 29.2167i | 1.30492 | − | 1.28247i | ||||
\(520\) | 22.9431 | + | 10.5360i | 1.00612 | + | 0.462032i | ||||
\(521\) | − | 15.8396i | − | 0.693945i | −0.937875 | − | 0.346973i | \(-0.887210\pi\) | ||
0.937875 | − | 0.346973i | \(-0.112790\pi\) | |||||||
\(522\) | 8.88080 | − | 8.57786i | 0.388702 | − | 0.375443i | ||||
\(523\) | 9.52401 | − | 9.52401i | 0.416456 | − | 0.416456i | −0.467524 | − | 0.883980i | \(-0.654854\pi\) |
0.883980 | + | 0.467524i | \(0.154854\pi\) | |||||||
\(524\) | −2.42724 | −0.106035 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −32.5151 | −1.41772 | ||||||||
\(527\) | 3.94268 | − | 3.94268i | 0.171746 | − | 0.171746i | ||||
\(528\) | 7.10704 | + | 0.0616561i | 0.309294 | + | 0.00268324i | ||||
\(529\) | − | 19.1790i | − | 0.833868i | ||||||
\(530\) | 33.8793 | + | 15.5581i | 1.47162 | + | 0.675802i | ||||
\(531\) | 29.6369 | + | 0.514259i | 1.28613 | + | 0.0223170i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.84210 | − | 2.84210i | −0.123105 | − | 0.123105i | ||||
\(534\) | 20.7284 | + | 21.0912i | 0.897007 | + | 0.912707i | ||||
\(535\) | 13.2661 | − | 4.91634i | 0.573545 | − | 0.212552i | ||||
\(536\) | − | 18.3424i | − | 0.792273i | ||||||
\(537\) | 0.0769091 | − | 8.86525i | 0.00331887 | − | 0.382564i | ||||
\(538\) | −20.1835 | + | 20.1835i | −0.870171 | + | 0.870171i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.97350 | + | 1.46036i | 0.127959 | + | 0.0628439i | ||||
\(541\) | −31.9532 | −1.37377 | −0.686887 | − | 0.726764i | \(-0.741023\pi\) | ||||
−0.686887 | + | 0.726764i | \(0.741023\pi\) | |||||||
\(542\) | −3.96759 | + | 3.96759i | −0.170422 | + | 0.170422i | ||||
\(543\) | −0.0265989 | + | 3.06604i | −0.00114147 | + | 0.131576i | ||||
\(544\) | − | 1.92662i | − | 0.0826031i | ||||||
\(545\) | −8.04299 | + | 17.5144i | −0.344524 | + | 0.750234i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.7307 | + | 24.7307i | 1.05741 | + | 1.05741i | 0.998249 | + | 0.0591593i | \(0.0188420\pi\) |
0.0591593 | + | 0.998249i | \(0.481158\pi\) | |||||||
\(548\) | 2.08313 | + | 2.08313i | 0.0889868 | + | 0.0889868i | ||||
\(549\) | 3.20318 | + | 0.0555816i | 0.136708 | + | 0.00237217i | ||||
\(550\) | −0.521797 | + | 6.88942i | −0.0222495 | + | 0.293766i | ||||
\(551\) | 18.7162i | 0.797338i | ||||||||
\(552\) | −8.77655 | − | 0.0761397i | −0.373555 | − | 0.00324072i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 11.4306 | 0.485640 | ||||||||
\(555\) | 2.92298 | − | 1.05449i | 0.124074 | − | 0.0447606i | ||||
\(556\) | −0.865465 | −0.0367039 | ||||||||
\(557\) | −2.73832 | + | 2.73832i | −0.116026 | + | 0.116026i | −0.762736 | − | 0.646710i | \(-0.776144\pi\) |
0.646710 | + | 0.762736i | \(0.276144\pi\) | |||||||
\(558\) | −15.1147 | + | 14.5991i | −0.639856 | + | 0.618029i | ||||
\(559\) | 29.6205i | 1.25281i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.35880 | − | 1.33542i | 0.0573685 | − | 0.0563817i | ||||
\(562\) | 12.8852 | + | 12.8852i | 0.543531 | + | 0.543531i | ||||
\(563\) | 25.8490 | + | 25.8490i | 1.08941 | + | 1.08941i | 0.995589 | + | 0.0938172i | \(0.0299069\pi\) |
0.0938172 | + | 0.995589i | \(0.470093\pi\) | |||||||
\(564\) | 3.69158 | − | 3.62808i | 0.155444 | − | 0.152770i | ||||
\(565\) | −8.17767 | − | 22.0664i | −0.344037 | − | 0.928341i | ||||
\(566\) | 36.3002i | 1.52581i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.02240 | − | 1.02240i | 0.0428989 | − | 0.0428989i | ||||
\(569\) | −16.2393 | −0.680787 | −0.340393 | − | 0.940283i | \(-0.610560\pi\) | ||||
−0.340393 | + | 0.940283i | \(0.610560\pi\) | |||||||
\(570\) | −37.8586 | + | 13.6578i | −1.58572 | + | 0.572063i | ||||
\(571\) | 40.2805 | 1.68569 | 0.842843 | − | 0.538159i | \(-0.180880\pi\) | ||||
0.842843 | + | 0.538159i | \(0.180880\pi\) | |||||||
\(572\) | 0.802671 | − | 0.802671i | 0.0335614 | − | 0.0335614i | ||||
\(573\) | 15.8980 | + | 0.137921i | 0.664151 | + | 0.00576174i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.738139 | − | 9.74583i | 0.0307825 | − | 0.406429i | ||||
\(576\) | 0.341308 | − | 19.6697i | 0.0142212 | − | 0.819570i | ||||
\(577\) | 12.2206 | + | 12.2206i | 0.508750 | + | 0.508750i | 0.914143 | − | 0.405393i | \(-0.132865\pi\) |
−0.405393 | + | 0.914143i | \(0.632865\pi\) | |||||||
\(578\) | 16.6237 | + | 16.6237i | 0.691454 | + | 0.691454i | ||||
\(579\) | 8.61273 | + | 8.76347i | 0.357933 | + | 0.364197i | ||||
\(580\) | −0.724378 | + | 1.57740i | −0.0300781 | + | 0.0654980i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.0510111 | + | 5.88001i | −0.00211448 | + | 0.243734i | ||||
\(583\) | −7.12906 | + | 7.12906i | −0.295256 | + | 0.295256i | ||||
\(584\) | −5.65047 | −0.233818 | ||||||||
\(585\) | −27.5682 | + | 9.67601i | −1.13981 | + | 0.400054i | ||||
\(586\) | 26.1878 | 1.08181 | ||||||||
\(587\) | 0.596922 | − | 0.596922i | 0.0246376 | − | 0.0246376i | −0.694681 | − | 0.719318i | \(-0.744454\pi\) |
0.719318 | + | 0.694681i | \(0.244454\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 31.8541i | − | 1.31253i | ||||||
\(590\) | −31.3163 | + | 11.6056i | −1.28927 | + | 0.477796i | ||||
\(591\) | −21.5543 | − | 21.9316i | −0.886627 | − | 0.902145i | ||||
\(592\) | 2.54669 | + | 2.54669i | 0.104668 | + | 0.104668i | ||||
\(593\) | 6.63562 | + | 6.63562i | 0.272492 | + | 0.272492i | 0.830103 | − | 0.557610i | \(-0.188282\pi\) |
−0.557610 | + | 0.830103i | \(0.688282\pi\) | |||||||
\(594\) | −5.20757 | + | 4.94333i | −0.213669 | + | 0.202827i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 3.67234i | − | 0.150425i | ||||||
\(597\) | −29.8187 | − | 0.258688i | −1.22040 | − | 0.0105874i | ||||
\(598\) | −9.10037 | + | 9.10037i | −0.372142 | + | 0.372142i | ||||
\(599\) | −6.28684 | −0.256873 | −0.128437 | − | 0.991718i | \(-0.540996\pi\) | ||||
−0.128437 | + | 0.991718i | \(0.540996\pi\) | |||||||
\(600\) | 22.3705 | + | 1.88963i | 0.913271 | + | 0.0771438i | ||||
\(601\) | 9.39584 | 0.383264 | 0.191632 | − | 0.981467i | \(-0.438622\pi\) | ||||
0.191632 | + | 0.981467i | \(0.438622\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.7471 | + | 15.2679i | 0.600549 | + | 0.621759i | ||||
\(604\) | − | 3.39254i | − | 0.138041i | ||||||
\(605\) | 20.6545 | + | 9.48501i | 0.839726 | + | 0.385620i | ||||
\(606\) | 8.67467 | − | 8.52545i | 0.352384 | − | 0.346323i | ||||
\(607\) | 10.0128 | + | 10.0128i | 0.406408 | + | 0.406408i | 0.880484 | − | 0.474076i | \(-0.157218\pi\) |
−0.474076 | + | 0.880484i | \(0.657218\pi\) | |||||||
\(608\) | −7.78287 | − | 7.78287i | −0.315637 | − | 0.315637i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.38470 | + | 1.25435i | −0.137042 | + | 0.0507870i | ||||
\(611\) | 45.6497i | 1.84679i | ||||||||
\(612\) | 0.715048 | + | 0.740302i | 0.0289041 | + | 0.0299249i | ||||
\(613\) | −3.06941 | + | 3.06941i | −0.123972 | + | 0.123972i | −0.766371 | − | 0.642399i | \(-0.777939\pi\) |
0.642399 | + | 0.766371i | \(0.277939\pi\) | |||||||
\(614\) | −26.7286 | −1.07868 | ||||||||
\(615\) | −3.23496 | − | 1.51968i | −0.130446 | − | 0.0612796i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.80377 | − | 3.80377i | 0.153134 | − | 0.153134i | −0.626382 | − | 0.779516i | \(-0.715465\pi\) |
0.779516 | + | 0.626382i | \(0.215465\pi\) | |||||||
\(618\) | 27.5712 | + | 0.239190i | 1.10908 | + | 0.00962164i | ||||
\(619\) | 21.8072i | 0.876505i | 0.898852 | + | 0.438252i | \(0.144402\pi\) | ||||
−0.898852 | + | 0.438252i | \(0.855598\pi\) | |||||||
\(620\) | 1.23286 | − | 2.68466i | 0.0495127 | − | 0.107819i | ||||
\(621\) | 7.36667 | − | 6.99288i | 0.295614 | − | 0.280614i | ||||
\(622\) | −25.0547 | − | 25.0547i | −1.00460 | − | 1.00460i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −23.7366 | − | 24.1520i | −0.950224 | − | 0.966855i | ||||
\(625\) | −3.76535 | + | 24.7148i | −0.150614 | + | 0.988593i | ||||
\(626\) | 16.0239i | 0.640443i | ||||||||
\(627\) | 0.0944200 | − | 10.8837i | 0.00377077 | − | 0.434654i | ||||
\(628\) | −2.80486 | + | 2.80486i | −0.111926 | + | 0.111926i | ||||
\(629\) | 0.965431 | 0.0384943 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.91815 | 0.355026 | 0.177513 | − | 0.984118i | \(-0.443195\pi\) | ||||
0.177513 | + | 0.984118i | \(0.443195\pi\) | |||||||
\(632\) | 5.55620 | − | 5.55620i | 0.221014 | − | 0.221014i | ||||
\(633\) | −0.146551 | + | 16.8928i | −0.00582488 | + | 0.671429i | ||||
\(634\) | 31.0537i | 1.23330i | ||||||||
\(635\) | −4.86691 | − | 13.1327i | −0.193137 | − | 0.521157i | ||||
\(636\) | −3.81782 | − | 3.88464i | −0.151386 | − | 0.154036i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −2.66027 | − | 2.66027i | −0.105321 | − | 0.105321i | ||||
\(639\) | −0.0290303 | + | 1.67302i | −0.00114842 | + | 0.0661838i | ||||
\(640\) | 10.1908 | + | 27.4985i | 0.402825 | + | 1.08697i | ||||
\(641\) | 39.0775i | 1.54347i | 0.635944 | + | 0.771735i | \(0.280611\pi\) | ||||
−0.635944 | + | 0.771735i | \(0.719389\pi\) | |||||||
\(642\) | −16.5654 | − | 0.143711i | −0.653785 | − | 0.00567182i | ||||
\(643\) | 10.9666 | − | 10.9666i | 0.432481 | − | 0.432481i | −0.456991 | − | 0.889471i | \(-0.651073\pi\) |
0.889471 | + | 0.456991i | \(0.151073\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.93837 | + | 24.7766i | 0.351948 | + | 0.975578i | ||||
\(646\) | −12.5043 | −0.491976 | ||||||||
\(647\) | 10.2096 | − | 10.2096i | 0.401380 | − | 0.401380i | −0.477339 | − | 0.878719i | \(-0.658399\pi\) |
0.878719 | + | 0.477339i | \(0.158399\pi\) | |||||||
\(648\) | 15.9151 | + | 17.0599i | 0.625206 | + | 0.670174i | ||||
\(649\) | − | 9.03186i | − | 0.354532i | ||||||
\(650\) | 24.9691 | − | 21.4531i | 0.979369 | − | 0.841461i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.85751 | + | 4.85751i | 0.190235 | + | 0.190235i | ||||
\(653\) | 12.3763 | + | 12.3763i | 0.484323 | + | 0.484323i | 0.906509 | − | 0.422186i | \(-0.138737\pi\) |
−0.422186 | + | 0.906509i | \(0.638737\pi\) | |||||||
\(654\) | 16.0952 | − | 15.8183i | 0.629372 | − | 0.618546i | ||||
\(655\) | 7.94413 | − | 17.2991i | 0.310403 | − | 0.675932i | ||||
\(656\) | − | 4.14256i | − | 0.161740i | ||||||
\(657\) | 4.70336 | − | 4.54292i | 0.183496 | − | 0.177236i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.49888 | 0.292115 | 0.146057 | − | 0.989276i | \(-0.453342\pi\) | ||||
0.146057 | + | 0.989276i | \(0.453342\pi\) | |||||||
\(660\) | 0.429192 | − | 0.913625i | 0.0167063 | − | 0.0355628i | ||||
\(661\) | −25.7103 | −1.00002 | −0.500008 | − | 0.866021i | \(-0.666669\pi\) | ||||
−0.500008 | + | 0.866021i | \(0.666669\pi\) | |||||||
\(662\) | 34.1320 | − | 34.1320i | 1.32658 | − | 1.32658i | ||||
\(663\) | −9.07709 | − | 0.0787469i | −0.352525 | − | 0.00305828i | ||||
\(664\) | 8.72904i | 0.338752i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.63796 | − | 0.0631259i | −0.140968 | − | 0.00244608i | ||||
\(667\) | 3.76324 | + | 3.76324i | 0.145713 | + | 0.145713i | ||||
\(668\) | 1.42229 | + | 1.42229i | 0.0550302 | + | 0.0550302i | ||||
\(669\) | −15.7494 | − | 16.0251i | −0.608908 | − | 0.619566i | ||||
\(670\) | −21.7348 | − | 9.98111i | −0.839689 | − | 0.385604i | ||||
\(671\) | − | 0.976172i | − | 0.0376847i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.04384 | − | 9.04384i | 0.348614 | − | 0.348614i | −0.510979 | − | 0.859593i | \(-0.670717\pi\) |
0.859593 | + | 0.510979i | \(0.170717\pi\) | |||||||
\(674\) | 20.0989 | 0.774179 | ||||||||
\(675\) | −20.1401 | + | 16.4127i | −0.775191 | + | 0.631726i | ||||
\(676\) | −1.70203 | −0.0654627 | ||||||||
\(677\) | −24.1492 | + | 24.1492i | −0.928131 | + | 0.928131i | −0.997585 | − | 0.0694543i | \(-0.977874\pi\) |
0.0694543 | + | 0.997585i | \(0.477874\pi\) | |||||||
\(678\) | −0.239044 | + | 27.5544i | −0.00918042 | + | 1.05822i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.33864 | + | 2.91084i | 0.243076 | + | 0.111626i | ||||
\(681\) | −29.1881 | − | 29.6990i | −1.11849 | − | 1.13807i | ||||
\(682\) | 4.52765 | + | 4.52765i | 0.173373 | + | 0.173373i | ||||
\(683\) | −16.8972 | − | 16.8972i | −0.646552 | − | 0.646552i | 0.305606 | − | 0.952158i | \(-0.401141\pi\) |
−0.952158 | + | 0.305606i | \(0.901141\pi\) | |||||||
\(684\) | 5.87911 | + | 0.102014i | 0.224793 | + | 0.00390061i | ||||
\(685\) | −21.6644 | + | 8.02870i | −0.827756 | + | 0.306761i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.64091 | + | 0.0489368i | 0.215214 | + | 0.00186706i | ||||
\(688\) | −21.5870 | + | 21.5870i | −0.822997 | + | 0.822997i | ||||
\(689\) | 48.0370 | 1.83006 | ||||||||
\(690\) | −4.86602 | + | 10.3583i | −0.185246 | + | 0.394335i | ||||
\(691\) | 20.1951 | 0.768259 | 0.384129 | − | 0.923279i | \(-0.374502\pi\) | ||||
0.384129 | + | 0.923279i | \(0.374502\pi\) | |||||||
\(692\) | 4.85170 | − | 4.85170i | 0.184434 | − | 0.184434i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.3128i | 0.922899i | ||||||||
\(695\) | 2.83258 | − | 6.16822i | 0.107446 | − | 0.233974i | ||||
\(696\) | −8.71877 | + | 8.56879i | −0.330484 | + | 0.324799i | ||||
\(697\) | −0.785206 | − | 0.785206i | −0.0297418 | − | 0.0297418i | ||||
\(698\) | −9.84475 | − | 9.84475i | −0.372629 | − | 0.372629i | ||||
\(699\) | −20.6037 | + | 20.2493i | −0.779304 | + | 0.765899i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 49.4540i | − | 1.86785i | −0.357467 | − | 0.933926i | \(-0.616360\pi\) | ||
0.357467 | − | 0.933926i | \(-0.383640\pi\) | |||||||
\(702\) | 34.1994 | + | 0.890253i | 1.29077 | + | 0.0336004i | ||||
\(703\) | 3.90000 | − | 3.90000i | 0.147091 | − | 0.147091i | ||||
\(704\) | −5.99435 | −0.225920 | ||||||||
\(705\) | 13.7754 | + | 38.1845i | 0.518811 | + | 1.43811i | ||||
\(706\) | −15.7936 | −0.594398 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 4.87915 | + | 0.0423283i | 0.183370 | + | 0.00159080i | ||||
\(709\) | − | 39.2209i | − | 1.47297i | −0.676453 | − | 0.736486i | \(-0.736484\pi\) | ||
0.676453 | − | 0.736486i | \(-0.263516\pi\) | |||||||
\(710\) | −0.655146 | − | 1.76783i | −0.0245872 | − | 0.0663455i | ||||
\(711\) | −0.157765 | + | 9.09202i | −0.00591664 | + | 0.340977i | ||||
\(712\) | −20.7034 | − | 20.7034i | −0.775891 | − | 0.775891i | ||||
\(713\) | −6.40485 | − | 6.40485i | −0.239864 | − | 0.239864i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.09362 | + | 8.34775i | 0.115695 | + | 0.312188i | ||||
\(716\) | − | 1.45938i | − | 0.0545397i | ||||||
\(717\) | −0.228125 | + | 26.2958i | −0.00851948 | + | 0.982033i | ||||
\(718\) | 1.64800 | − | 1.64800i | 0.0615029 | − | 0.0615029i | ||||
\(719\) | 1.93192 | 0.0720484 | 0.0360242 | − | 0.999351i | \(-0.488531\pi\) | ||||
0.0360242 | + | 0.999351i | \(0.488531\pi\) | |||||||
\(720\) | −27.1431 | − | 13.0396i | −1.01156 | − | 0.485957i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −30.2039 | + | 30.2039i | −1.12407 | + | 1.12407i | ||||
\(723\) | 0.00178450 | − | 0.205698i | 6.63664e−5 | − | 0.00765000i | ||||
\(724\) | 0.504726i | 0.0187580i | ||||||||
\(725\) | −8.87142 | − | 10.3254i | −0.329476 | − | 0.383475i | ||||
\(726\) | −18.6544 | − | 18.9809i | −0.692329 | − | 0.704447i | ||||
\(727\) | 15.8726 | + | 15.8726i | 0.588684 | + | 0.588684i | 0.937275 | − | 0.348591i | \(-0.113340\pi\) |
−0.348591 | + | 0.937275i | \(0.613340\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.9634 | − | 1.40474i | −0.998646 | − | 0.0520273i | ||||
\(730\) | −3.07473 | + | 6.69551i | −0.113801 | + | 0.247812i | ||||
\(731\) | 8.18346i | 0.302676i | ||||||||
\(732\) | 0.527343 | + | 0.00457488i | 0.0194912 | + | 0.000169093i | ||||
\(733\) | −30.7539 | + | 30.7539i | −1.13592 | + | 1.13592i | −0.146746 | + | 0.989174i | \(0.546880\pi\) |
−0.989174 | + | 0.146746i | \(0.953120\pi\) | |||||||
\(734\) | 24.2387 | 0.894668 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12978 | −0.115365 | ||||||||
\(737\) | 4.57356 | − | 4.57356i | 0.168469 | − | 0.168469i | ||||
\(738\) | 2.90749 | + | 3.01017i | 0.107026 | + | 0.110806i | ||||
\(739\) | − | 27.0647i | − | 0.995592i | −0.867294 | − | 0.497796i | \(-0.834143\pi\) | ||
0.867294 | − | 0.497796i | \(-0.165857\pi\) | |||||||
\(740\) | 0.479635 | − | 0.177749i | 0.0176317 | − | 0.00653420i | ||||
\(741\) | −36.9864 | + | 36.3502i | −1.35873 | + | 1.33536i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.20467 | − | 2.20467i | −0.0808816 | − | 0.0808816i | 0.665509 | − | 0.746390i | \(-0.268215\pi\) |
−0.746390 | + | 0.665509i | \(0.768215\pi\) | |||||||
\(744\) | 14.8389 | − | 14.5837i | 0.544021 | − | 0.534663i | ||||
\(745\) | 26.1730 | + | 12.0192i | 0.958905 | + | 0.440350i | ||||
\(746\) | − | 42.4200i | − | 1.55311i | ||||||
\(747\) | −7.01805 | − | 7.26590i | −0.256777 | − | 0.265846i | ||||
\(748\) | 0.221760 | − | 0.221760i | 0.00810833 | − | 0.00810833i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 14.4121 | − | 25.4796i | 0.526256 | − | 0.930384i | ||||
\(751\) | 23.9281 | 0.873148 | 0.436574 | − | 0.899668i | \(-0.356192\pi\) | ||||
0.436574 | + | 0.899668i | \(0.356192\pi\) | |||||||
\(752\) | −33.2689 | + | 33.2689i | −1.21319 | + | 1.21319i | ||||
\(753\) | −29.1415 | − | 0.252813i | −1.06198 | − | 0.00921302i | ||||
\(754\) | 17.9254i | 0.652804i | ||||||||
\(755\) | 24.1789 | + | 11.1035i | 0.879959 | + | 0.404096i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.0440 | + | 34.0440i | 1.23735 | + | 1.23735i | 0.961081 | + | 0.276268i | \(0.0890977\pi\) |
0.276268 | + | 0.961081i | \(0.410902\pi\) | |||||||
\(758\) | 19.9038 | + | 19.9038i | 0.722940 | + | 0.722940i | ||||
\(759\) | −2.16939 | − | 2.20736i | −0.0787437 | − | 0.0801219i | ||||
\(760\) | 37.3647 | − | 13.8471i | 1.35536 | − | 0.502287i | ||||
\(761\) | − | 6.63770i | − | 0.240616i | −0.992737 | − | 0.120308i | \(-0.961612\pi\) | ||
0.992737 | − | 0.120308i | \(-0.0383883\pi\) | |||||||
\(762\) | −0.142266 | + | 16.3989i | −0.00515375 | + | 0.594069i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.61711 | 0.0946838 | ||||||||
\(765\) | −7.61646 | + | 2.67326i | −0.275374 | + | 0.0966519i | ||||
\(766\) | −24.5163 | −0.885809 | ||||||||
\(767\) | −30.4292 | + | 30.4292i | −1.09873 | + | 1.09873i | ||||
\(768\) | 0.100827 | − | 11.6222i | 0.00363828 | − | 0.419381i | ||||
\(769\) | − | 22.0730i | − | 0.795972i | −0.917391 | − | 0.397986i | \(-0.869709\pi\) | ||
0.917391 | − | 0.397986i | \(-0.130291\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −16.8963 | − | 17.1920i | −0.608504 | − | 0.619155i | ||||
\(772\) | 1.43022 | + | 1.43022i | 0.0514748 | + | 0.0514748i | ||||
\(773\) | −23.1387 | − | 23.1387i | −0.832240 | − | 0.832240i | 0.155583 | − | 0.987823i | \(-0.450274\pi\) |
−0.987823 | + | 0.155583i | \(0.950274\pi\) | |||||||
\(774\) | 0.535086 | − | 30.8371i | 0.0192333 | − | 1.10842i | ||||
\(775\) | 15.0987 | + | 17.5733i | 0.542363 | + | 0.631251i | ||||
\(776\) | − | 5.82195i | − | 0.208996i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 35.7966 | − | 35.7966i | 1.28337 | − | 1.28337i | ||||
\(779\) | −6.34391 | −0.227294 | ||||||||
\(780\) | −4.52408 | + | 1.63210i | −0.161988 | + | 0.0584385i | ||||
\(781\) | 0.509855 | 0.0182441 | ||||||||
\(782\) | −2.51422 | + | 2.51422i | −0.0899084 | + | 0.0899084i | ||||
\(783\) | 0.368142 | − | 14.1423i | 0.0131563 | − | 0.505405i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.8104 | − | 29.1705i | −0.385839 | − | 1.04114i | ||||
\(786\) | −15.8974 | + | 15.6239i | −0.567040 | + | 0.557286i | ||||
\(787\) | −8.67333 | − | 8.67333i | −0.309171 | − | 0.309171i | 0.535417 | − | 0.844588i | \(-0.320154\pi\) |
−0.844588 | + | 0.535417i | \(0.820154\pi\) | |||||||
\(788\) | −3.57930 | − | 3.57930i | −0.127507 | − | 0.127507i | ||||
\(789\) | −26.5712 | + | 26.1141i | −0.945960 | + | 0.929688i | ||||
\(790\) | −3.56038 | − | 9.60724i | −0.126673 | − | 0.341810i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 5.11330 | − | 4.93888i | 0.181693 | − | 0.175495i | ||||
\(793\) | −3.28882 | + | 3.28882i | −0.116789 | + | 0.116789i | ||||
\(794\) | 16.0692 | 0.570276 | ||||||||
\(795\) | 40.1814 | − | 14.4958i | 1.42509 | − | 0.514112i | ||||
\(796\) | −4.90871 | −0.173985 | ||||||||
\(797\) | −27.2098 | + | 27.2098i | −0.963820 | + | 0.963820i | −0.999368 | − | 0.0355479i | \(-0.988682\pi\) |
0.0355479 | + | 0.999368i | \(0.488682\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.6120i | 0.446179i | ||||||||
\(800\) | 7.98271 | + | 0.604602i | 0.282231 | + | 0.0213759i | ||||
\(801\) | 33.8784 | + | 0.587858i | 1.19703 | + | 0.0207709i | ||||
\(802\) | −41.1290 | − | 41.1290i | −1.45231 | − | 1.45231i | ||||
\(803\) | −1.40890 | − | 1.40890i | −0.0497192 | − | 0.0497192i | ||||
\(804\) | 2.44927 | + | 2.49214i | 0.0863791 | + | 0.0878909i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 30.5082i | − | 1.07460i | ||||||
\(807\) | −0.283719 | + | 32.7040i | −0.00998737 | + | 1.15124i | ||||
\(808\) | −8.51513 | + | 8.51513i | −0.299561 | + | 0.299561i | ||||
\(809\) | 38.3573 | 1.34857 | 0.674285 | − | 0.738471i | \(-0.264452\pi\) | ||||
0.674285 | + | 0.738471i | \(0.264452\pi\) | |||||||
\(810\) | 28.8753 | − | 9.57542i | 1.01458 | − | 0.336446i | ||||
\(811\) | 3.87781 | 0.136168 | 0.0680841 | − | 0.997680i | \(-0.478311\pi\) | ||||
0.0680841 | + | 0.997680i | \(0.478311\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.0557723 | + | 6.42883i | −0.00195602 | + | 0.225469i | ||||
\(814\) | 1.10867i | 0.0388589i | ||||||||
\(815\) | −50.5179 | + | 18.7216i | −1.76957 | + | 0.655789i | ||||
\(816\) | −6.55787 | − | 6.67265i | −0.229571 | − | 0.233589i | ||||
\(817\) | 33.0583 | + | 33.0583i | 1.15656 | + | 1.15656i | ||||
\(818\) | 1.03534 | + | 1.03534i | 0.0361999 | + | 0.0361999i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.534665 | − | 0.245530i | −0.0186713 | − | 0.00857427i | ||||
\(821\) | − | 8.04772i | − | 0.280867i | −0.990090 | − | 0.140434i | \(-0.955150\pi\) | ||
0.990090 | − | 0.140434i | \(-0.0448497\pi\) | |||||||
\(822\) | 27.0524 | + | 0.234689i | 0.943562 | + | 0.00818573i | ||||
\(823\) | 1.27909 | − | 1.27909i | 0.0445862 | − | 0.0445862i | −0.684462 | − | 0.729048i | \(-0.739963\pi\) |
0.729048 | + | 0.684462i | \(0.239963\pi\) | |||||||
\(824\) | −27.2990 | −0.951005 | ||||||||
\(825\) | 5.10676 | + | 6.04909i | 0.177794 | + | 0.210602i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −27.7405 | + | 27.7405i | −0.964633 | + | 0.964633i | −0.999396 | − | 0.0347627i | \(-0.988932\pi\) |
0.0347627 | + | 0.999396i | \(0.488932\pi\) | |||||||
\(828\) | 1.20261 | − | 1.16159i | 0.0417937 | − | 0.0403680i | ||||
\(829\) | 9.32952i | 0.324028i | 0.986788 | + | 0.162014i | \(0.0517989\pi\) | ||||
−0.986788 | + | 0.162014i | \(0.948201\pi\) | |||||||
\(830\) | 10.3434 | + | 4.74994i | 0.359026 | + | 0.164873i | ||||
\(831\) | 9.34105 | − | 9.18037i | 0.324037 | − | 0.318464i | ||||
\(832\) | 20.1955 | + | 20.1955i | 0.700154 | + | 0.700154i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −5.66841 | + | 5.57090i | −0.196281 | + | 0.192905i | ||||
\(835\) | −14.7918 | + | 5.48174i | −0.511891 | + | 0.189704i | ||||
\(836\) | − | 1.79166i | − | 0.0619659i | ||||||
\(837\) | −0.626561 | + | 24.0695i | −0.0216571 | + | 0.831965i | ||||
\(838\) | −26.0259 | + | 26.0259i | −0.899050 | + | 0.899050i | ||||
\(839\) | 3.18996 | 0.110130 | 0.0550649 | − | 0.998483i | \(-0.482463\pi\) | ||||
0.0550649 | + | 0.998483i | \(0.482463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.5874 | −0.744393 | ||||||||
\(842\) | 1.88045 | − | 1.88045i | 0.0648045 | − | 0.0648045i | ||||
\(843\) | 20.8784 | + | 0.181127i | 0.719090 | + | 0.00623836i | ||||
\(844\) | 2.78087i | 0.0957215i | ||||||||
\(845\) | 5.57058 | − | 12.1305i | 0.191634 | − | 0.417301i | ||||
\(846\) | 0.824648 | − | 47.5247i | 0.0283520 | − | 1.63393i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 35.0087 | + | 35.0087i | 1.20220 | + | 1.20220i | ||||
\(849\) | 29.1541 | + | 29.6644i | 1.00057 | + | 1.01808i | ||||
\(850\) | 6.89839 | − | 5.92701i | 0.236613 | − | 0.203295i | ||||
\(851\) | − | 1.56833i | − | 0.0537618i | ||||||
\(852\) | −0.00238946 | + | 0.275432i | −8.18617e−5 | + | 0.00943613i | ||||
\(853\) | −5.14974 | + | 5.14974i | −0.176324 | + | 0.176324i | −0.789751 | − | 0.613427i | \(-0.789790\pi\) |
0.613427 | + | 0.789751i | \(0.289790\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −19.9688 | + | 41.5669i | −0.682919 | + | 1.42156i | ||||
\(856\) | 16.4019 | 0.560604 | ||||||||
\(857\) | 8.17961 | − | 8.17961i | 0.279410 | − | 0.279410i | −0.553463 | − | 0.832873i | \(-0.686694\pi\) |
0.832873 | + | 0.553463i | \(0.186694\pi\) | |||||||
\(858\) | 0.0904305 | − | 10.4238i | 0.00308725 | − | 0.355864i | ||||
\(859\) | − | 27.8219i | − | 0.949270i | −0.880183 | − | 0.474635i | \(-0.842580\pi\) | ||
0.880183 | − | 0.474635i | \(-0.157420\pi\) | |||||||
\(860\) | 1.50669 | + | 4.06562i | 0.0513778 | + | 0.138636i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.9187 | − | 22.9187i | −0.780613 | − | 0.780613i | ||||
\(863\) | 5.52270 | + | 5.52270i | 0.187995 | + | 0.187995i | 0.794829 | − | 0.606834i | \(-0.207561\pi\) |
−0.606834 | + | 0.794829i | \(0.707561\pi\) | |||||||
\(864\) | 5.72779 | + | 6.03397i | 0.194863 | + | 0.205280i | ||||
\(865\) | 18.6992 | + | 50.4575i | 0.635793 | + | 1.71561i | ||||
\(866\) | 57.3011i | 1.94717i | ||||||||
\(867\) | 26.9360 | + | 0.233679i | 0.914793 | + | 0.00793615i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.77080 | 0.0939929 | ||||||||
\(870\) | 5.40922 | + | 14.9940i | 0.183390 | + | 0.508345i | ||||
\(871\) | −30.8175 | −1.04421 | ||||||||
\(872\) | −15.7992 | + | 15.7992i | −0.535028 | + | 0.535028i | ||||
\(873\) | 4.68078 | + | 4.84609i | 0.158421 | + | 0.164015i | ||||
\(874\) | 20.3132i | 0.687103i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.767715 | − | 0.754509i | 0.0259387 | − | 0.0254925i | ||||
\(877\) | −11.0212 | − | 11.0212i | −0.372160 | − | 0.372160i | 0.496103 | − | 0.868263i | \(-0.334764\pi\) |
−0.868263 | + | 0.496103i | \(0.834764\pi\) | |||||||
\(878\) | −2.53590 | − | 2.53590i | −0.0855825 | − | 0.0855825i | ||||
\(879\) | 21.4006 | − | 21.0325i | 0.721825 | − | 0.709408i | ||||
\(880\) | −3.82914 | + | 8.33831i | −0.129080 | + | 0.281085i | ||||
\(881\) | 8.59639i | 0.289620i | 0.989459 | + | 0.144810i | \(0.0462571\pi\) | ||||
−0.989459 | + | 0.144810i | \(0.953743\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −31.4000 | + | 31.4000i | −1.05670 | + | 1.05670i | −0.0584026 | + | 0.998293i | \(0.518601\pi\) |
−0.998293 | + | 0.0584026i | \(0.981399\pi\) | |||||||
\(884\) | −1.49426 | −0.0502573 | ||||||||
\(885\) | −16.2707 | + | 34.6355i | −0.546932 | + | 1.16426i | ||||
\(886\) | −32.8889 | −1.10492 | ||||||||
\(887\) | −1.41909 | + | 1.41909i | −0.0476485 | + | 0.0476485i | −0.730530 | − | 0.682881i | \(-0.760727\pi\) |
0.682881 | + | 0.730530i | \(0.260727\pi\) | |||||||
\(888\) | 3.60231 | + | 0.0312513i | 0.120885 | + | 0.00104872i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −35.7982 | + | 13.2666i | −1.19996 | + | 0.444697i | ||||
\(891\) | −0.285425 | + | 8.22208i | −0.00956210 | + | 0.275450i | ||||
\(892\) | −2.61534 | − | 2.61534i | −0.0875680 | − | 0.0875680i | ||||
\(893\) | 50.9479 | + | 50.9479i | 1.70491 | + | 1.70491i | ||||
\(894\) | −23.6385 | − | 24.0522i | −0.790589 | − | 0.804426i | ||||
\(895\) | 10.4011 | + | 4.77642i | 0.347671 | + | 0.159658i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.127924 | + | 14.7457i | −0.00427125 | + | 0.492343i | ||||
\(898\) | 30.8792 | − | 30.8792i | 1.03045 | − | 1.03045i | ||||
\(899\) | −12.6159 | −0.420764 | ||||||||
\(900\) | −3.29174 | + | 2.73040i | −0.109725 | + | 0.0910132i | ||||
\(901\) | 13.2715 | 0.442138 | ||||||||
\(902\) | 0.901706 | − | 0.901706i | 0.0300235 | − | 0.0300235i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 27.2823i | − | 0.907395i | ||||||
\(905\) | −3.59722 | − | 1.65192i | −0.119576 | − | 0.0549117i | ||||
\(906\) | −21.8374 | − | 22.2197i | −0.725500 | − | 0.738198i | ||||
\(907\) | 6.51113 | + | 6.51113i | 0.216198 | + | 0.216198i | 0.806894 | − | 0.590696i | \(-0.201147\pi\) |
−0.590696 | + | 0.806894i | \(0.701147\pi\) | |||||||
\(908\) | −4.84695 | − | 4.84695i | −0.160852 | − | 0.160852i | ||||
\(909\) | 0.241782 | − | 13.9339i | 0.00801939 | − | 0.462159i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.1044i | 1.06367i | 0.846849 | + | 0.531834i | \(0.178497\pi\) | ||||
−0.846849 | + | 0.531834i | \(0.821503\pi\) | |||||||
\(912\) | −53.4467 | − | 0.463668i | −1.76980 | − | 0.0153536i | ||||
\(913\) | −2.17652 | + | 2.17652i | −0.0720324 | + | 0.0720324i | ||||
\(914\) | −2.97167 | −0.0982940 | ||||||||
\(915\) | −1.75855 | + | 3.74343i | −0.0581358 | + | 0.123754i | ||||
\(916\) | 0.928598 | 0.0306817 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 9.44849 | + | 0.245956i | 0.311847 | + | 0.00811777i | ||||
\(919\) | − | 35.3855i | − | 1.16726i | −0.812020 | − | 0.583630i | \(-0.801632\pi\) | ||
0.812020 | − | 0.583630i | \(-0.198368\pi\) | |||||||
\(920\) | 4.72864 | − | 10.2971i | 0.155899 | − | 0.339484i | ||||
\(921\) | −21.8425 | + | 21.4668i | −0.719734 | + | 0.707354i | ||||
\(922\) | −18.6290 | − | 18.6290i | −0.613514 | − | 0.613514i | ||||
\(923\) | −1.71775 | − | 1.71775i | −0.0565405 | − | 0.0565405i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.302967 | + | 4.00014i | −0.00996148 | + | 0.131524i | ||||
\(926\) | − | 31.7263i | − | 1.04259i | ||||||
\(927\) | 22.7232 | − | 21.9481i | 0.746329 | − | 0.720870i | ||||
\(928\) | −3.08243 | + | 3.08243i | −0.101186 | + | 0.101186i | ||||
\(929\) | 45.3102 | 1.48658 | 0.743290 | − | 0.668969i | \(-0.233264\pi\) | ||||
0.743290 | + | 0.668969i | \(0.233264\pi\) | |||||||
\(930\) | −9.20623 | − | 25.5191i | −0.301884 | − | 0.836805i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.36258 | + | 3.36258i | −0.110145 | + | 0.110145i | ||||
\(933\) | −40.5971 | − | 0.352194i | −1.32909 | − | 0.0115303i | ||||
\(934\) | − | 19.0563i | − | 0.623540i | ||||||
\(935\) | 0.854696 | + | 2.30629i | 0.0279516 | + | 0.0754238i | ||||
\(936\) | −33.8667 | − | 0.587656i | −1.10697 | − | 0.0192081i | ||||
\(937\) | −2.63830 | − | 2.63830i | −0.0861894 | − | 0.0861894i | 0.662698 | − | 0.748887i | \(-0.269411\pi\) |
−0.748887 | + | 0.662698i | \(0.769411\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.8694 | + | 13.0947i | 0.419977 | + | 0.427328i | ||||
\(940\) | 2.32204 | + | 6.26574i | 0.0757366 | + | 0.204366i | ||||
\(941\) | − | 27.0062i | − | 0.880376i | −0.897906 | − | 0.440188i | \(-0.854912\pi\) | ||
0.897906 | − | 0.440188i | \(-0.145088\pi\) | |||||||
\(942\) | −0.316001 | + | 36.4252i | −0.0102959 | + | 1.18680i | ||||
\(943\) | −1.27556 | + | 1.27556i | −0.0415380 | + | 0.0415380i | ||||
\(944\) | −44.3528 | −1.44356 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.39763 | −0.305543 | ||||||||
\(947\) | 9.83573 | − | 9.83573i | 0.319618 | − | 0.319618i | −0.529002 | − | 0.848620i | \(-0.677434\pi\) |
0.848620 | + | 0.529002i | \(0.177434\pi\) | |||||||
\(948\) | −0.0129855 | + | 1.49683i | −0.000421749 | + | 0.0486147i | ||||
\(949\) | 9.49347i | 0.308171i | ||||||||
\(950\) | 3.92404 | − | 51.8101i | 0.127313 | − | 1.68094i | ||||
\(951\) | 24.9405 | + | 25.3770i | 0.808750 | + | 0.822905i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20.8791 | + | 20.8791i | 0.676342 | + | 0.676342i | 0.959170 | − | 0.282829i | \(-0.0912728\pi\) |
−0.282829 | + | 0.959170i | \(0.591273\pi\) | |||||||
\(954\) | −50.0100 | − | 0.867774i | −1.61913 | − | 0.0280952i | ||||
\(955\) | −8.56556 | + | 18.6523i | −0.277175 | + | 0.603575i | ||||
\(956\) | 4.32877i | 0.140002i | ||||||||
\(957\) | −4.31053 | − | 0.0373953i | −0.139340 | − | 0.00120882i | ||||
\(958\) | 10.9968 | − | 10.9968i | 0.355289 | − | 0.355289i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 22.9872 | + | 10.7987i | 0.741908 | + | 0.348525i | ||||
\(961\) | −9.52832 | −0.307365 | ||||||||
\(962\) | 3.73522 | − | 3.73522i | 0.120428 | − | 0.120428i | ||||
\(963\) | −13.6526 | + | 13.1869i | −0.439950 | + | 0.424942i | ||||
\(964\) | − | 0.0338618i | − | 0.00109061i | ||||||
\(965\) | −14.8743 | + | 5.51230i | −0.478819 | + | 0.177447i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −38.5871 | − | 38.5871i | −1.24088 | − | 1.24088i | −0.959638 | − | 0.281238i | \(-0.909255\pi\) |
−0.281238 | − | 0.959638i | \(-0.590745\pi\) | |||||||
\(968\) | 18.6318 | + | 18.6318i | 0.598849 | + | 0.598849i | ||||
\(969\) | −10.2185 | + | 10.0427i | −0.328265 | + | 0.322618i | ||||
\(970\) | −6.89870 | − | 3.16804i | −0.221504 | − | 0.101720i | ||||
\(971\) | − | 21.4943i | − | 0.689786i | −0.938642 | − | 0.344893i | \(-0.887915\pi\) | ||
0.938642 | − | 0.344893i | \(-0.112085\pi\) | |||||||
\(972\) | −4.44035 | − | 0.192724i | −0.142424 | − | 0.00618163i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 28.1852 | 0.903112 | ||||||||
\(975\) | 3.17480 | − | 37.5851i | 0.101675 | − | 1.20369i | ||||
\(976\) | −4.79369 | −0.153442 | ||||||||
\(977\) | 31.5962 | − | 31.5962i | 1.01085 | − | 1.01085i | 0.0109125 | − | 0.999940i | \(-0.496526\pi\) |
0.999940 | − | 0.0109125i | \(-0.00347362\pi\) | |||||||
\(978\) | 63.0818 | + | 0.547257i | 2.01713 | + | 0.0174993i | ||||
\(979\) | − | 10.3245i | − | 0.329971i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.448608 | − | 25.8534i | 0.0143229 | − | 0.825435i | ||||
\(982\) | −26.3955 | − | 26.3955i | −0.842315 | − | 0.842315i | ||||
\(983\) | −9.20130 | − | 9.20130i | −0.293476 | − | 0.293476i | 0.544976 | − | 0.838452i | \(-0.316539\pi\) |
−0.838452 | + | 0.544976i | \(0.816539\pi\) | |||||||
\(984\) | −2.90442 | − | 2.95525i | −0.0925894 | − | 0.0942100i | ||||
\(985\) | 37.2245 | − | 13.7952i | 1.18607 | − | 0.439551i | ||||
\(986\) | 4.95237i | 0.157716i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.03628 | + | 6.03628i | −0.192040 | + | 0.192040i | ||||
\(989\) | 13.2940 | 0.422724 | ||||||||
\(990\) | −3.06989 | − | 8.74650i | −0.0975674 | − | 0.277982i | ||||
\(991\) | 13.4625 | 0.427652 | 0.213826 | − | 0.976872i | \(-0.431407\pi\) | ||||
0.213826 | + | 0.976872i | \(0.431407\pi\) | |||||||
\(992\) | 5.24615 | − | 5.24615i | 0.166565 | − | 0.166565i | ||||
\(993\) | 0.479793 | − | 55.3053i | 0.0152258 | − | 1.75506i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 16.0657 | − | 34.9847i | 0.509318 | − | 1.10909i | ||||
\(996\) | −1.16559 | − | 1.18599i | −0.0369331 | − | 0.0375796i | ||||
\(997\) | −26.8715 | − | 26.8715i | −0.851029 | − | 0.851029i | 0.139231 | − | 0.990260i | \(-0.455537\pi\) |
−0.990260 | + | 0.139231i | \(0.955537\pi\) | |||||||
\(998\) | 13.7650 | + | 13.7650i | 0.435724 | + | 0.435724i | ||||
\(999\) | −3.02363 | + | 2.87020i | −0.0956633 | + | 0.0908092i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))