Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(3,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.s (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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Root | \(0.235136 - 1.39453i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.3 |
Dual form | 80.2.s.b.27.5 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.430311 | + | 1.34716i | 0.304276 | + | 0.952584i | ||||
\(3\) | −2.96561 | −1.71220 | −0.856099 | − | 0.516813i | \(-0.827118\pi\) | ||||
−0.856099 | + | 0.516813i | \(0.827118\pi\) | |||||||
\(4\) | −1.62967 | + | 1.15939i | −0.814833 | + | 0.579696i | ||||
\(5\) | −0.177336 | + | 2.22902i | −0.0793073 | + | 0.996850i | ||||
\(6\) | −1.27613 | − | 3.99515i | −0.520980 | − | 1.63101i | ||||
\(7\) | −0.115101 | + | 0.115101i | −0.0435040 | + | 0.0435040i | −0.728524 | − | 0.685020i | \(-0.759793\pi\) |
0.685020 | + | 0.728524i | \(0.259793\pi\) | |||||||
\(8\) | −2.26315 | − | 1.69652i | −0.800143 | − | 0.599809i | ||||
\(9\) | 5.79486 | 1.93162 | ||||||||
\(10\) | −3.07916 | + | 0.720273i | −0.973715 | + | 0.227770i | ||||
\(11\) | 2.95966 | + | 2.95966i | 0.892372 | + | 0.892372i | 0.994746 | − | 0.102374i | \(-0.0326439\pi\) |
−0.102374 | + | 0.994746i | \(0.532644\pi\) | |||||||
\(12\) | 4.83296 | − | 3.43831i | 1.39515 | − | 0.992554i | ||||
\(13\) | 1.55822i | 0.432172i | 0.976374 | + | 0.216086i | \(0.0693292\pi\) | ||||
−0.976374 | + | 0.216086i | \(0.930671\pi\) | |||||||
\(14\) | −0.204588 | − | 0.105530i | −0.0546784 | − | 0.0282040i | ||||
\(15\) | 0.525911 | − | 6.61042i | 0.135790 | − | 1.70680i | ||||
\(16\) | 1.31162 | − | 3.77884i | 0.327905 | − | 0.944711i | ||||
\(17\) | 0.299668 | − | 0.299668i | 0.0726801 | − | 0.0726801i | −0.669832 | − | 0.742512i | \(-0.733634\pi\) |
0.742512 | + | 0.669832i | \(0.233634\pi\) | |||||||
\(18\) | 2.49359 | + | 7.80658i | 0.587745 | + | 1.84003i | ||||
\(19\) | −2.26261 | − | 2.26261i | −0.519079 | − | 0.519079i | 0.398214 | − | 0.917293i | \(-0.369630\pi\) |
−0.917293 | + | 0.398214i | \(0.869630\pi\) | |||||||
\(20\) | −2.29532 | − | 3.83817i | −0.513248 | − | 0.858240i | ||||
\(21\) | 0.341344 | − | 0.341344i | 0.0744874 | − | 0.0744874i | ||||
\(22\) | −2.71356 | + | 5.26071i | −0.578532 | + | 1.12159i | ||||
\(23\) | 4.14573 | + | 4.14573i | 0.864444 | + | 0.864444i | 0.991851 | − | 0.127406i | \(-0.0406652\pi\) |
−0.127406 | + | 0.991851i | \(0.540665\pi\) | |||||||
\(24\) | 6.71162 | + | 5.03121i | 1.37000 | + | 1.02699i | ||||
\(25\) | −4.93710 | − | 0.790575i | −0.987421 | − | 0.158115i | ||||
\(26\) | −2.09917 | + | 0.670518i | −0.411680 | + | 0.131499i | ||||
\(27\) | −8.28846 | −1.59511 | ||||||||
\(28\) | 0.0541288 | − | 0.321023i | 0.0102294 | − | 0.0606676i | ||||
\(29\) | 0.289656 | − | 0.289656i | 0.0537878 | − | 0.0537878i | −0.679701 | − | 0.733489i | \(-0.737891\pi\) |
0.733489 | + | 0.679701i | \(0.237891\pi\) | |||||||
\(30\) | 9.13159 | − | 2.13605i | 1.66719 | − | 0.389988i | ||||
\(31\) | 4.18508i | 0.751663i | 0.926688 | + | 0.375832i | \(0.122643\pi\) | ||||
−0.926688 | + | 0.375832i | \(0.877357\pi\) | |||||||
\(32\) | 5.65510 | + | 0.140879i | 0.999690 | + | 0.0249041i | ||||
\(33\) | −8.77721 | − | 8.77721i | −1.52792 | − | 1.52792i | ||||
\(34\) | 0.532650 | + | 0.274749i | 0.0913487 | + | 0.0471191i | ||||
\(35\) | −0.236151 | − | 0.276974i | −0.0399168 | − | 0.0468172i | ||||
\(36\) | −9.44368 | + | 6.71851i | −1.57395 | + | 1.11975i | ||||
\(37\) | − | 1.63643i | − | 0.269027i | −0.990912 | − | 0.134514i | \(-0.957053\pi\) | ||
0.990912 | − | 0.134514i | \(-0.0429472\pi\) | |||||||
\(38\) | 2.07447 | − | 4.02172i | 0.336523 | − | 0.652410i | ||||
\(39\) | − | 4.62107i | − | 0.739964i | ||||||
\(40\) | 4.18292 | − | 4.74376i | 0.661377 | − | 0.750054i | ||||
\(41\) | − | 7.61648i | − | 1.18949i | −0.803913 | − | 0.594747i | \(-0.797252\pi\) | ||
0.803913 | − | 0.594747i | \(-0.202748\pi\) | |||||||
\(42\) | 0.606729 | + | 0.312960i | 0.0936203 | + | 0.0482908i | ||||
\(43\) | − | 6.72651i | − | 1.02578i | −0.858453 | − | 0.512892i | \(-0.828574\pi\) | ||
0.858453 | − | 0.512892i | \(-0.171426\pi\) | |||||||
\(44\) | −8.25467 | − | 1.39185i | −1.24444 | − | 0.209829i | ||||
\(45\) | −1.02764 | + | 12.9169i | −0.153191 | + | 1.92553i | ||||
\(46\) | −3.80100 | + | 7.36890i | −0.560427 | + | 1.08649i | ||||
\(47\) | 4.38366 | + | 4.38366i | 0.639423 | + | 0.639423i | 0.950413 | − | 0.310990i | \(-0.100661\pi\) |
−0.310990 | + | 0.950413i | \(0.600661\pi\) | |||||||
\(48\) | −3.88975 | + | 11.2066i | −0.561437 | + | 1.61753i | ||||
\(49\) | 6.97350i | 0.996215i | ||||||||
\(50\) | −1.05946 | − | 6.99125i | −0.149830 | − | 0.988712i | ||||
\(51\) | −0.888698 | + | 0.888698i | −0.124443 | + | 0.124443i | ||||
\(52\) | −1.80659 | − | 2.53938i | −0.250529 | − | 0.352148i | ||||
\(53\) | 11.4324 | 1.57036 | 0.785182 | − | 0.619265i | \(-0.212569\pi\) | ||||
0.785182 | + | 0.619265i | \(0.212569\pi\) | |||||||
\(54\) | −3.56661 | − | 11.1659i | −0.485355 | − | 1.51948i | ||||
\(55\) | −7.12202 | + | 6.07231i | −0.960333 | + | 0.818790i | ||||
\(56\) | 0.455760 | − | 0.0652196i | 0.0609035 | − | 0.00871533i | ||||
\(57\) | 6.71003 | + | 6.71003i | 0.888766 | + | 0.888766i | ||||
\(58\) | 0.514854 | + | 0.265570i | 0.0676037 | + | 0.0348711i | ||||
\(59\) | 1.63497 | − | 1.63497i | 0.212855 | − | 0.212855i | −0.592624 | − | 0.805479i | \(-0.701908\pi\) |
0.805479 | + | 0.592624i | \(0.201908\pi\) | |||||||
\(60\) | 6.80702 | + | 11.3825i | 0.878782 | + | 1.46948i | ||||
\(61\) | −1.23034 | − | 1.23034i | −0.157528 | − | 0.157528i | 0.623942 | − | 0.781471i | \(-0.285530\pi\) |
−0.781471 | + | 0.623942i | \(0.785530\pi\) | |||||||
\(62\) | −5.63796 | + | 1.80089i | −0.716022 | + | 0.228713i | ||||
\(63\) | −0.666993 | + | 0.666993i | −0.0840332 | + | 0.0840332i | ||||
\(64\) | 2.24366 | + | 7.67893i | 0.280458 | + | 0.959866i | ||||
\(65\) | −3.47331 | − | 0.276329i | −0.430811 | − | 0.0342744i | ||||
\(66\) | 8.04736 | − | 15.6012i | 0.990561 | − | 1.92038i | ||||
\(67\) | − | 2.49337i | − | 0.304614i | −0.988333 | − | 0.152307i | \(-0.951330\pi\) | ||
0.988333 | − | 0.152307i | \(-0.0486702\pi\) | |||||||
\(68\) | −0.140926 | + | 0.835791i | −0.0170897 | + | 0.101354i | ||||
\(69\) | −12.2946 | − | 12.2946i | −1.48010 | − | 1.48010i | ||||
\(70\) | 0.271509 | − | 0.437317i | 0.0324516 | − | 0.0522694i | ||||
\(71\) | 8.00096 | 0.949540 | 0.474770 | − | 0.880110i | \(-0.342531\pi\) | ||||
0.474770 | + | 0.880110i | \(0.342531\pi\) | |||||||
\(72\) | −13.1146 | − | 9.83107i | −1.54557 | − | 1.15860i | ||||
\(73\) | −1.12102 | + | 1.12102i | −0.131205 | + | 0.131205i | −0.769660 | − | 0.638454i | \(-0.779574\pi\) |
0.638454 | + | 0.769660i | \(0.279574\pi\) | |||||||
\(74\) | 2.20453 | − | 0.704173i | 0.256271 | − | 0.0818584i | ||||
\(75\) | 14.6415 | + | 2.34454i | 1.69066 | + | 0.270724i | ||||
\(76\) | 6.31056 | + | 1.06405i | 0.723871 | + | 0.122054i | ||||
\(77\) | −0.681319 | −0.0776435 | ||||||||
\(78\) | 6.22531 | − | 1.98850i | 0.704878 | − | 0.225153i | ||||
\(79\) | 3.62218 | 0.407527 | 0.203763 | − | 0.979020i | \(-0.434683\pi\) | ||||
0.203763 | + | 0.979020i | \(0.434683\pi\) | |||||||
\(80\) | 8.19054 | + | 3.59376i | 0.915730 | + | 0.401794i | ||||
\(81\) | 7.19579 | 0.799532 | ||||||||
\(82\) | 10.2606 | − | 3.27745i | 1.13309 | − | 0.361934i | ||||
\(83\) | 1.62629 | 0.178509 | 0.0892545 | − | 0.996009i | \(-0.471552\pi\) | ||||
0.0892545 | + | 0.996009i | \(0.471552\pi\) | |||||||
\(84\) | −0.160525 | + | 0.952029i | −0.0175147 | + | 0.103875i | ||||
\(85\) | 0.614825 | + | 0.721109i | 0.0666871 | + | 0.0782152i | ||||
\(86\) | 9.06167 | − | 2.89449i | 0.977145 | − | 0.312121i | ||||
\(87\) | −0.859007 | + | 0.859007i | −0.0920953 | + | 0.0920953i | ||||
\(88\) | −1.67703 | − | 11.7193i | −0.178772 | − | 1.24928i | ||||
\(89\) | −15.7149 | −1.66577 | −0.832887 | − | 0.553443i | \(-0.813314\pi\) | ||||
−0.832887 | + | 0.553443i | \(0.813314\pi\) | |||||||
\(90\) | −17.8433 | + | 4.17388i | −1.88085 | + | 0.439966i | ||||
\(91\) | −0.179352 | − | 0.179352i | −0.0188012 | − | 0.0188012i | ||||
\(92\) | −11.5627 | − | 1.94962i | −1.20549 | − | 0.203262i | ||||
\(93\) | − | 12.4113i | − | 1.28700i | ||||||
\(94\) | −4.01915 | + | 7.79182i | −0.414543 | + | 0.803665i | ||||
\(95\) | 5.44467 | − | 4.64218i | 0.558611 | − | 0.476277i | ||||
\(96\) | −16.7708 | − | 0.417792i | −1.71167 | − | 0.0426407i | ||||
\(97\) | 9.69217 | − | 9.69217i | 0.984091 | − | 0.984091i | −0.0157848 | − | 0.999875i | \(-0.505025\pi\) |
0.999875 | + | 0.0157848i | \(0.00502467\pi\) | |||||||
\(98\) | −9.39441 | + | 3.00077i | −0.948978 | + | 0.303124i | ||||
\(99\) | 17.1508 | + | 17.1508i | 1.72372 | + | 1.72372i | ||||
\(100\) | 8.96241 | − | 4.43567i | 0.896241 | − | 0.443567i | ||||
\(101\) | −12.8067 | + | 12.8067i | −1.27432 | + | 1.27432i | −0.330516 | + | 0.943800i | \(0.607223\pi\) |
−0.943800 | + | 0.330516i | \(0.892777\pi\) | |||||||
\(102\) | −1.57963 | − | 0.814800i | −0.156407 | − | 0.0806772i | ||||
\(103\) | −4.33738 | − | 4.33738i | −0.427375 | − | 0.427375i | 0.460358 | − | 0.887733i | \(-0.347721\pi\) |
−0.887733 | + | 0.460358i | \(0.847721\pi\) | |||||||
\(104\) | 2.64354 | − | 3.52648i | 0.259221 | − | 0.345800i | ||||
\(105\) | 0.700332 | + | 0.821398i | 0.0683454 | + | 0.0801602i | ||||
\(106\) | 4.91950 | + | 15.4013i | 0.477824 | + | 1.49590i | ||||
\(107\) | −11.9807 | −1.15822 | −0.579108 | − | 0.815251i | \(-0.696599\pi\) | ||||
−0.579108 | + | 0.815251i | \(0.696599\pi\) | |||||||
\(108\) | 13.5074 | − | 9.60958i | 1.29975 | − | 0.924682i | ||||
\(109\) | 4.01503 | − | 4.01503i | 0.384570 | − | 0.384570i | −0.488175 | − | 0.872746i | \(-0.662337\pi\) |
0.872746 | + | 0.488175i | \(0.162337\pi\) | |||||||
\(110\) | −11.2450 | − | 6.98150i | −1.07217 | − | 0.665660i | ||||
\(111\) | 4.85301i | 0.460628i | ||||||||
\(112\) | 0.283980 | + | 0.585916i | 0.0268336 | + | 0.0553639i | ||||
\(113\) | 6.47754 | + | 6.47754i | 0.609356 | + | 0.609356i | 0.942778 | − | 0.333422i | \(-0.108203\pi\) |
−0.333422 | + | 0.942778i | \(0.608203\pi\) | |||||||
\(114\) | −6.15207 | + | 11.9269i | −0.576194 | + | 1.11705i | ||||
\(115\) | −9.97612 | + | 8.50575i | −0.930278 | + | 0.793165i | ||||
\(116\) | −0.136217 | + | 0.807867i | −0.0126475 | + | 0.0750086i | ||||
\(117\) | 9.02966i | 0.834792i | ||||||||
\(118\) | 2.90611 | + | 1.49902i | 0.267529 | + | 0.137996i | ||||
\(119\) | 0.0689840i | 0.00632375i | ||||||||
\(120\) | −12.4049 | + | 14.0681i | −1.13241 | + | 1.28424i | ||||
\(121\) | 6.51921i | 0.592655i | ||||||||
\(122\) | 1.12803 | − | 2.18688i | 0.102127 | − | 0.197991i | ||||
\(123\) | 22.5875i | 2.03665i | ||||||||
\(124\) | −4.85215 | − | 6.82028i | −0.435736 | − | 0.612480i | ||||
\(125\) | 2.63774 | − | 10.8647i | 0.235927 | − | 0.971771i | ||||
\(126\) | −1.18556 | − | 0.611530i | −0.105618 | − | 0.0544794i | ||||
\(127\) | −12.2756 | − | 12.2756i | −1.08928 | − | 1.08928i | −0.995603 | − | 0.0936781i | \(-0.970138\pi\) |
−0.0936781 | − | 0.995603i | \(-0.529862\pi\) | |||||||
\(128\) | −9.37925 | + | 6.32690i | −0.829017 | + | 0.559224i | ||||
\(129\) | 19.9482i | 1.75634i | ||||||||
\(130\) | −1.12234 | − | 4.79800i | −0.0984360 | − | 0.420813i | ||||
\(131\) | 7.99562 | − | 7.99562i | 0.698581 | − | 0.698581i | −0.265524 | − | 0.964104i | \(-0.585545\pi\) |
0.964104 | + | 0.265524i | \(0.0855448\pi\) | |||||||
\(132\) | 24.4802 | + | 4.12768i | 2.13072 | + | 0.359269i | ||||
\(133\) | 0.520857 | 0.0451641 | ||||||||
\(134\) | 3.35896 | − | 1.07292i | 0.290170 | − | 0.0926865i | ||||
\(135\) | 1.46985 | − | 18.4752i | 0.126504 | − | 1.59009i | ||||
\(136\) | −1.18658 | + | 0.169801i | −0.101749 | + | 0.0145603i | ||||
\(137\) | −3.08551 | − | 3.08551i | −0.263613 | − | 0.263613i | 0.562907 | − | 0.826520i | \(-0.309683\pi\) |
−0.826520 | + | 0.562907i | \(0.809683\pi\) | |||||||
\(138\) | 11.2723 | − | 21.8533i | 0.959561 | − | 1.86028i | ||||
\(139\) | 12.2206 | − | 12.2206i | 1.03654 | − | 1.03654i | 0.0372284 | − | 0.999307i | \(-0.488147\pi\) |
0.999307 | − | 0.0372284i | \(-0.0118529\pi\) | |||||||
\(140\) | 0.705969 | + | 0.177583i | 0.0596653 | + | 0.0150085i | ||||
\(141\) | −13.0002 | − | 13.0002i | −1.09482 | − | 1.09482i | ||||
\(142\) | 3.44290 | + | 10.7786i | 0.288922 | + | 0.904516i | ||||
\(143\) | −4.61180 | + | 4.61180i | −0.385658 | + | 0.385658i | ||||
\(144\) | 7.60064 | − | 21.8979i | 0.633386 | − | 1.82482i | ||||
\(145\) | 0.594284 | + | 0.697017i | 0.0493526 | + | 0.0578841i | ||||
\(146\) | −1.99258 | − | 1.02780i | −0.164907 | − | 0.0850616i | ||||
\(147\) | − | 20.6807i | − | 1.70572i | ||||||
\(148\) | 1.89726 | + | 2.66683i | 0.155954 | + | 0.219212i | ||||
\(149\) | 2.59172 | + | 2.59172i | 0.212322 | + | 0.212322i | 0.805253 | − | 0.592931i | \(-0.202029\pi\) |
−0.592931 | + | 0.805253i | \(0.702029\pi\) | |||||||
\(150\) | 3.14195 | + | 20.7333i | 0.256539 | + | 1.69287i | ||||
\(151\) | −16.9594 | −1.38014 | −0.690068 | − | 0.723745i | \(-0.742419\pi\) | ||||
−0.690068 | + | 0.723745i | \(0.742419\pi\) | |||||||
\(152\) | 1.28207 | + | 8.95919i | 0.103989 | + | 0.726686i | ||||
\(153\) | 1.73653 | − | 1.73653i | 0.140390 | − | 0.140390i | ||||
\(154\) | −0.293179 | − | 0.917844i | −0.0236250 | − | 0.0739620i | ||||
\(155\) | −9.32865 | − | 0.742168i | −0.749296 | − | 0.0596124i | ||||
\(156\) | 5.35764 | + | 7.53080i | 0.428954 | + | 0.602947i | ||||
\(157\) | 8.55235 | 0.682552 | 0.341276 | − | 0.939963i | \(-0.389141\pi\) | ||||
0.341276 | + | 0.939963i | \(0.389141\pi\) | |||||||
\(158\) | 1.55866 | + | 4.87964i | 0.124000 | + | 0.388203i | ||||
\(159\) | −33.9041 | −2.68877 | ||||||||
\(160\) | −1.31688 | + | 12.5804i | −0.104108 | + | 0.994566i | ||||
\(161\) | −0.954354 | −0.0752136 | ||||||||
\(162\) | 3.09643 | + | 9.69386i | 0.243278 | + | 0.761622i | ||||
\(163\) | −3.57797 | −0.280248 | −0.140124 | − | 0.990134i | \(-0.544750\pi\) | ||||
−0.140124 | + | 0.990134i | \(0.544750\pi\) | |||||||
\(164\) | 8.83049 | + | 12.4123i | 0.689545 | + | 0.969238i | ||||
\(165\) | 21.1211 | − | 18.0081i | 1.64428 | − | 1.40193i | ||||
\(166\) | 0.699812 | + | 2.19087i | 0.0543159 | + | 0.170045i | ||||
\(167\) | 0.482874 | − | 0.482874i | 0.0373659 | − | 0.0373659i | −0.688177 | − | 0.725543i | \(-0.741589\pi\) |
0.725543 | + | 0.688177i | \(0.241589\pi\) | |||||||
\(168\) | −1.35161 | + | 0.193416i | −0.104279 | + | 0.0149224i | ||||
\(169\) | 10.5720 | 0.813227 | ||||||||
\(170\) | −0.706881 | + | 1.13857i | −0.0542153 | + | 0.0873241i | ||||
\(171\) | −13.1115 | − | 13.1115i | −1.00266 | − | 1.00266i | ||||
\(172\) | 7.79867 | + | 10.9620i | 0.594643 | + | 0.835842i | ||||
\(173\) | 11.8189i | 0.898576i | 0.893387 | + | 0.449288i | \(0.148322\pi\) | ||||
−0.893387 | + | 0.449288i | \(0.851678\pi\) | |||||||
\(174\) | −1.52686 | − | 0.787578i | −0.115751 | − | 0.0597061i | ||||
\(175\) | 0.659260 | − | 0.477269i | 0.0498354 | − | 0.0360781i | ||||
\(176\) | 15.0661 | − | 7.30216i | 1.13565 | − | 0.550421i | ||||
\(177\) | −4.84870 | + | 4.84870i | −0.364451 | + | 0.364451i | ||||
\(178\) | −6.76228 | − | 21.1704i | −0.506855 | − | 1.58679i | ||||
\(179\) | −4.71524 | − | 4.71524i | −0.352433 | − | 0.352433i | 0.508581 | − | 0.861014i | \(-0.330170\pi\) |
−0.861014 | + | 0.508581i | \(0.830170\pi\) | |||||||
\(180\) | −13.3010 | − | 22.2416i | −0.991400 | − | 1.65779i | ||||
\(181\) | 13.1843 | − | 13.1843i | 0.979983 | − | 0.979983i | −0.0198205 | − | 0.999804i | \(-0.506309\pi\) |
0.999804 | + | 0.0198205i | \(0.00630948\pi\) | |||||||
\(182\) | 0.164439 | − | 0.318793i | 0.0121890 | − | 0.0236305i | ||||
\(183\) | 3.64870 | + | 3.64870i | 0.269720 | + | 0.269720i | ||||
\(184\) | −2.34910 | − | 16.4157i | −0.173178 | − | 1.21018i | ||||
\(185\) | 3.64764 | + | 0.290199i | 0.268180 | + | 0.0213358i | ||||
\(186\) | 16.7200 | − | 5.34073i | 1.22597 | − | 0.391601i | ||||
\(187\) | 1.77383 | 0.129715 | ||||||||
\(188\) | −12.2263 | − | 2.06152i | −0.891694 | − | 0.150352i | ||||
\(189\) | 0.954008 | − | 0.954008i | 0.0693939 | − | 0.0693939i | ||||
\(190\) | 8.59664 | + | 5.33724i | 0.623666 | + | 0.387204i | ||||
\(191\) | 13.9872i | 1.01208i | 0.862510 | + | 0.506040i | \(0.168891\pi\) | ||||
−0.862510 | + | 0.506040i | \(0.831109\pi\) | |||||||
\(192\) | −6.65384 | − | 22.7727i | −0.480199 | − | 1.64348i | ||||
\(193\) | 3.88875 | + | 3.88875i | 0.279919 | + | 0.279919i | 0.833076 | − | 0.553158i | \(-0.186577\pi\) |
−0.553158 | + | 0.833076i | \(0.686577\pi\) | |||||||
\(194\) | 17.2275 | + | 8.88623i | 1.23686 | + | 0.637994i | ||||
\(195\) | 10.3005 | + | 0.819485i | 0.737633 | + | 0.0586845i | ||||
\(196\) | −8.08503 | − | 11.3645i | −0.577502 | − | 0.811748i | ||||
\(197\) | 22.3277i | 1.59078i | 0.606097 | + | 0.795391i | \(0.292734\pi\) | ||||
−0.606097 | + | 0.795391i | \(0.707266\pi\) | |||||||
\(198\) | −15.7247 | + | 30.4850i | −1.11750 | + | 2.16648i | ||||
\(199\) | 9.83847i | 0.697431i | 0.937229 | + | 0.348715i | \(0.113382\pi\) | ||||
−0.937229 | + | 0.348715i | \(0.886618\pi\) | |||||||
\(200\) | 9.83217 | + | 10.1651i | 0.695239 | + | 0.718779i | ||||
\(201\) | 7.39437i | 0.521559i | ||||||||
\(202\) | −22.7635 | − | 11.7418i | −1.60164 | − | 0.826150i | ||||
\(203\) | 0.0666793i | 0.00467997i | ||||||||
\(204\) | 0.417931 | − | 2.47863i | 0.0292610 | − | 0.173539i | ||||
\(205\) | 16.9773 | + | 1.35068i | 1.18575 | + | 0.0943355i | ||||
\(206\) | 3.97671 | − | 7.70955i | 0.277071 | − | 0.537150i | ||||
\(207\) | 24.0239 | + | 24.0239i | 1.66978 | + | 1.66978i | ||||
\(208\) | 5.88827 | + | 2.04379i | 0.408278 | + | 0.141711i | ||||
\(209\) | − | 13.3931i | − | 0.926423i | ||||||
\(210\) | −0.805192 | + | 1.29691i | −0.0555635 | + | 0.0894956i | ||||
\(211\) | 11.0531 | − | 11.0531i | 0.760925 | − | 0.760925i | −0.215565 | − | 0.976490i | \(-0.569159\pi\) |
0.976490 | + | 0.215565i | \(0.0691592\pi\) | |||||||
\(212\) | −18.6310 | + | 13.2547i | −1.27958 | + | 0.910334i | ||||
\(213\) | −23.7278 | −1.62580 | ||||||||
\(214\) | −5.15541 | − | 16.1398i | −0.352417 | − | 1.10330i | ||||
\(215\) | 14.9936 | + | 1.19286i | 1.02255 | + | 0.0813521i | ||||
\(216\) | 18.7580 | + | 14.0615i | 1.27632 | + | 0.956764i | ||||
\(217\) | −0.481706 | − | 0.481706i | −0.0327004 | − | 0.0327004i | ||||
\(218\) | 7.13659 | + | 3.68117i | 0.483351 | + | 0.249320i | ||||
\(219\) | 3.32451 | − | 3.32451i | 0.224650 | − | 0.224650i | ||||
\(220\) | 4.56632 | − | 18.1530i | 0.307861 | − | 1.22388i | ||||
\(221\) | 0.466948 | + | 0.466948i | 0.0314103 | + | 0.0314103i | ||||
\(222\) | −6.53777 | + | 2.08830i | −0.438787 | + | 0.140158i | ||||
\(223\) | 5.93975 | − | 5.93975i | 0.397755 | − | 0.397755i | −0.479686 | − | 0.877440i | \(-0.659249\pi\) |
0.877440 | + | 0.479686i | \(0.159249\pi\) | |||||||
\(224\) | −0.667122 | + | 0.634691i | −0.0445740 | + | 0.0424071i | ||||
\(225\) | −28.6098 | − | 4.58127i | −1.90732 | − | 0.305418i | ||||
\(226\) | −5.93891 | + | 11.5136i | −0.395051 | + | 0.765875i | ||||
\(227\) | 23.2105i | 1.54054i | 0.637720 | + | 0.770269i | \(0.279878\pi\) | ||||
−0.637720 | + | 0.770269i | \(0.720122\pi\) | |||||||
\(228\) | −18.7147 | − | 3.15555i | −1.23941 | − | 0.208981i | ||||
\(229\) | 5.59944 | + | 5.59944i | 0.370021 | + | 0.370021i | 0.867485 | − | 0.497464i | \(-0.165735\pi\) |
−0.497464 | + | 0.867485i | \(0.665735\pi\) | |||||||
\(230\) | −15.7514 | − | 9.77929i | −1.03862 | − | 0.644828i | ||||
\(231\) | 2.02053 | 0.132941 | ||||||||
\(232\) | −1.14694 | + | 0.164128i | −0.0753003 | + | 0.0107755i | ||||
\(233\) | 3.01998 | − | 3.01998i | 0.197845 | − | 0.197845i | −0.601230 | − | 0.799076i | \(-0.705323\pi\) |
0.799076 | + | 0.601230i | \(0.205323\pi\) | |||||||
\(234\) | −12.1644 | + | 3.88556i | −0.795209 | + | 0.254007i | ||||
\(235\) | −10.5487 | + | 8.99391i | −0.688120 | + | 0.586698i | ||||
\(236\) | −0.768884 | + | 4.56004i | −0.0500501 | + | 0.296833i | ||||
\(237\) | −10.7420 | −0.697766 | ||||||||
\(238\) | −0.0929323 | + | 0.0296846i | −0.00602391 | + | 0.00192416i | ||||
\(239\) | −0.00138865 | −8.98241e−5 | −4.49120e−5 | − | 1.00000i | \(-0.500014\pi\) | ||||
−4.49120e−5 | 1.00000i | \(0.500014\pi\) | ||||||||
\(240\) | −24.2900 | − | 10.6577i | −1.56791 | − | 0.687951i | ||||
\(241\) | −12.8578 | −0.828245 | −0.414123 | − | 0.910221i | \(-0.635912\pi\) | ||||
−0.414123 | + | 0.910221i | \(0.635912\pi\) | |||||||
\(242\) | −8.78240 | + | 2.80529i | −0.564554 | + | 0.180331i | ||||
\(243\) | 3.52546 | 0.226158 | ||||||||
\(244\) | 3.43148 | + | 0.578593i | 0.219678 | + | 0.0370407i | ||||
\(245\) | −15.5441 | − | 1.23666i | −0.993077 | − | 0.0790071i | ||||
\(246\) | −30.4289 | + | 9.71965i | −1.94008 | + | 0.619702i | ||||
\(247\) | 3.52565 | − | 3.52565i | 0.224332 | − | 0.224332i | ||||
\(248\) | 7.10006 | − | 9.47146i | 0.450854 | − | 0.601438i | ||||
\(249\) | −4.82296 | −0.305643 | ||||||||
\(250\) | 15.7715 | − | 1.12176i | 0.997480 | − | 0.0709463i | ||||
\(251\) | −9.14111 | − | 9.14111i | −0.576982 | − | 0.576982i | 0.357089 | − | 0.934071i | \(-0.383769\pi\) |
−0.934071 | + | 0.357089i | \(0.883769\pi\) | |||||||
\(252\) | 0.313668 | − | 1.86028i | 0.0197593 | − | 0.117187i | ||||
\(253\) | 24.5399i | 1.54281i | ||||||||
\(254\) | 11.2548 | − | 21.8194i | 0.706190 | − | 1.36907i | ||||
\(255\) | −1.82333 | − | 2.13853i | −0.114181 | − | 0.133920i | ||||
\(256\) | −12.5593 | − | 9.91280i | −0.784957 | − | 0.619550i | ||||
\(257\) | 21.2733 | − | 21.2733i | 1.32699 | − | 1.32699i | 0.419013 | − | 0.907980i | \(-0.362376\pi\) |
0.907980 | − | 0.419013i | \(-0.137624\pi\) | |||||||
\(258\) | −26.8734 | + | 8.58394i | −1.67306 | + | 0.534413i | ||||
\(259\) | 0.188354 | + | 0.188354i | 0.0117038 | + | 0.0117038i | ||||
\(260\) | 5.98071 | − | 3.57660i | 0.370908 | − | 0.221812i | ||||
\(261\) | 1.67851 | − | 1.67851i | 0.103897 | − | 0.103897i | ||||
\(262\) | 14.2120 | + | 7.33076i | 0.878018 | + | 0.452896i | ||||
\(263\) | −16.7214 | − | 16.7214i | −1.03108 | − | 1.03108i | −0.999501 | − | 0.0315818i | \(-0.989946\pi\) |
−0.0315818 | − | 0.999501i | \(-0.510054\pi\) | |||||||
\(264\) | 4.97343 | + | 34.7548i | 0.306094 | + | 2.13901i | ||||
\(265\) | −2.02739 | + | 25.4832i | −0.124541 | + | 1.56542i | ||||
\(266\) | 0.224131 | + | 0.701677i | 0.0137423 | + | 0.0430226i | ||||
\(267\) | 46.6043 | 2.85213 | ||||||||
\(268\) | 2.89079 | + | 4.06336i | 0.176583 | + | 0.248209i | ||||
\(269\) | 15.9096 | − | 15.9096i | 0.970026 | − | 0.970026i | −0.0295378 | − | 0.999564i | \(-0.509404\pi\) |
0.999564 | + | 0.0295378i | \(0.00940355\pi\) | |||||||
\(270\) | 25.5215 | − | 5.96996i | 1.55319 | − | 0.363320i | ||||
\(271\) | − | 12.3601i | − | 0.750824i | −0.926858 | − | 0.375412i | \(-0.877501\pi\) | ||
0.926858 | − | 0.375412i | \(-0.122499\pi\) | |||||||
\(272\) | −0.739348 | − | 1.52545i | −0.0448295 | − | 0.0924938i | ||||
\(273\) | 0.531889 | + | 0.531889i | 0.0321914 | + | 0.0321914i | ||||
\(274\) | 2.82894 | − | 5.48440i | 0.170902 | − | 0.331324i | ||||
\(275\) | −12.2723 | − | 16.9520i | −0.740049 | − | 1.02224i | ||||
\(276\) | 34.2904 | + | 5.78183i | 2.06404 | + | 0.348025i | ||||
\(277\) | − | 21.0270i | − | 1.26339i | −0.775217 | − | 0.631695i | \(-0.782359\pi\) | ||
0.775217 | − | 0.631695i | \(-0.217641\pi\) | |||||||
\(278\) | 21.7217 | + | 11.2044i | 1.30278 | + | 0.671994i | ||||
\(279\) | 24.2520i | 1.45193i | ||||||||
\(280\) | 0.0645531 | + | 1.02747i | 0.00385779 | + | 0.0614029i | ||||
\(281\) | − | 10.6807i | − | 0.637158i | −0.947896 | − | 0.318579i | \(-0.896794\pi\) | ||
0.947896 | − | 0.318579i | \(-0.103206\pi\) | |||||||
\(282\) | 11.9192 | − | 23.1075i | 0.709780 | − | 1.37603i | ||||
\(283\) | 12.5946i | 0.748673i | 0.927293 | + | 0.374336i | \(0.122129\pi\) | ||||
−0.927293 | + | 0.374336i | \(0.877871\pi\) | |||||||
\(284\) | −13.0389 | + | 9.27626i | −0.773716 | + | 0.550445i | ||||
\(285\) | −16.1468 | + | 13.7669i | −0.956452 | + | 0.815481i | ||||
\(286\) | −8.19733 | − | 4.22832i | −0.484718 | − | 0.250026i | ||||
\(287\) | 0.876663 | + | 0.876663i | 0.0517478 | + | 0.0517478i | ||||
\(288\) | 32.7705 | + | 0.816372i | 1.93102 | + | 0.0481052i | ||||
\(289\) | 16.8204i | 0.989435i | ||||||||
\(290\) | −0.683265 | + | 1.10053i | −0.0401227 | + | 0.0646252i | ||||
\(291\) | −28.7432 | + | 28.7432i | −1.68496 | + | 1.68496i | ||||
\(292\) | 0.527185 | − | 3.12659i | 0.0308512 | − | 0.182970i | ||||
\(293\) | 3.43132 | 0.200460 | 0.100230 | − | 0.994964i | \(-0.468042\pi\) | ||||
0.100230 | + | 0.994964i | \(0.468042\pi\) | |||||||
\(294\) | 27.8602 | − | 8.89913i | 1.62484 | − | 0.519008i | ||||
\(295\) | 3.35446 | + | 3.93434i | 0.195304 | + | 0.229066i | ||||
\(296\) | −2.77623 | + | 3.70348i | −0.161365 | + | 0.215260i | ||||
\(297\) | −24.5310 | − | 24.5310i | −1.42344 | − | 1.42344i | ||||
\(298\) | −2.37621 | + | 4.60670i | −0.137650 | + | 0.266859i | ||||
\(299\) | −6.45996 | + | 6.45996i | −0.373589 | + | 0.373589i | ||||
\(300\) | −26.5790 | + | 13.1545i | −1.53454 | + | 0.759474i | ||||
\(301\) | 0.774227 | + | 0.774227i | 0.0446257 | + | 0.0446257i | ||||
\(302\) | −7.29781 | − | 22.8470i | −0.419942 | − | 1.31470i | ||||
\(303\) | 37.9798 | − | 37.9798i | 2.18188 | − | 2.18188i | ||||
\(304\) | −11.5177 | + | 5.58238i | −0.660588 | + | 0.320171i | ||||
\(305\) | 2.96063 | − | 2.52427i | 0.169525 | − | 0.144539i | ||||
\(306\) | 3.08663 | + | 1.59213i | 0.176451 | + | 0.0910162i | ||||
\(307\) | 11.8104i | 0.674053i | 0.941495 | + | 0.337027i | \(0.109421\pi\) | ||||
−0.941495 | + | 0.337027i | \(0.890579\pi\) | |||||||
\(308\) | 1.11032 | − | 0.789916i | 0.0632665 | − | 0.0450097i | ||||
\(309\) | 12.8630 | + | 12.8630i | 0.731750 | + | 0.731750i | ||||
\(310\) | −3.01440 | − | 12.8865i | −0.171207 | − | 0.731906i | ||||
\(311\) | 22.6262 | 1.28301 | 0.641506 | − | 0.767118i | \(-0.278310\pi\) | ||||
0.641506 | + | 0.767118i | \(0.278310\pi\) | |||||||
\(312\) | −7.83973 | + | 10.4582i | −0.443837 | + | 0.592077i | ||||
\(313\) | 7.08945 | − | 7.08945i | 0.400719 | − | 0.400719i | −0.477767 | − | 0.878486i | \(-0.658554\pi\) |
0.878486 | + | 0.477767i | \(0.158554\pi\) | |||||||
\(314\) | 3.68017 | + | 11.5214i | 0.207684 | + | 0.650188i | ||||
\(315\) | −1.36846 | − | 1.60503i | −0.0771040 | − | 0.0904329i | ||||
\(316\) | −5.90294 | + | 4.19952i | −0.332066 | + | 0.236242i | ||||
\(317\) | −25.1265 | −1.41124 | −0.705621 | − | 0.708589i | \(-0.749332\pi\) | ||||
−0.705621 | + | 0.708589i | \(0.749332\pi\) | |||||||
\(318\) | −14.5893 | − | 45.6742i | −0.818128 | − | 2.56128i | ||||
\(319\) | 1.71457 | 0.0959974 | ||||||||
\(320\) | −17.5144 | + | 3.63943i | −0.979085 | + | 0.203450i | ||||
\(321\) | 35.5300 | 1.98309 | ||||||||
\(322\) | −0.410669 | − | 1.28566i | −0.0228857 | − | 0.0716473i | ||||
\(323\) | −1.35606 | −0.0754535 | ||||||||
\(324\) | −11.7267 | + | 8.34274i | −0.651485 | + | 0.463486i | ||||
\(325\) | 1.23189 | − | 7.69309i | 0.0683329 | − | 0.426736i | ||||
\(326\) | −1.53964 | − | 4.82008i | −0.0852726 | − | 0.266960i | ||||
\(327\) | −11.9070 | + | 11.9070i | −0.658460 | + | 0.658460i | ||||
\(328\) | −12.9215 | + | 17.2372i | −0.713469 | + | 0.951765i | ||||
\(329\) | −1.00913 | −0.0556349 | ||||||||
\(330\) | 33.3484 | + | 20.7044i | 1.83577 | + | 1.13974i | ||||
\(331\) | 5.80829 | + | 5.80829i | 0.319253 | + | 0.319253i | 0.848480 | − | 0.529227i | \(-0.177518\pi\) |
−0.529227 | + | 0.848480i | \(0.677518\pi\) | |||||||
\(332\) | −2.65032 | + | 1.88551i | −0.145455 | + | 0.103481i | ||||
\(333\) | − | 9.48287i | − | 0.519658i | ||||||
\(334\) | 0.858293 | + | 0.442721i | 0.0469637 | + | 0.0242246i | ||||
\(335\) | 5.55778 | + | 0.442166i | 0.303654 | + | 0.0241581i | ||||
\(336\) | −0.842174 | − | 1.73760i | −0.0459443 | − | 0.0947939i | ||||
\(337\) | −7.41679 | + | 7.41679i | −0.404019 | + | 0.404019i | −0.879647 | − | 0.475628i | \(-0.842221\pi\) |
0.475628 | + | 0.879647i | \(0.342221\pi\) | |||||||
\(338\) | 4.54923 | + | 14.2421i | 0.247445 | + | 0.774667i | ||||
\(339\) | −19.2099 | − | 19.2099i | −1.04334 | − | 1.04334i | ||||
\(340\) | −1.83801 | − | 0.462343i | −0.0996799 | − | 0.0250741i | ||||
\(341\) | −12.3864 | + | 12.3864i | −0.670763 | + | 0.670763i | ||||
\(342\) | 12.0213 | − | 23.3053i | 0.650035 | − | 1.26021i | ||||
\(343\) | −1.60836 | − | 1.60836i | −0.0868434 | − | 0.0868434i | ||||
\(344\) | −11.4116 | + | 15.2231i | −0.615274 | + | 0.820774i | ||||
\(345\) | 29.5853 | − | 25.2247i | 1.59282 | − | 1.35805i | ||||
\(346\) | −15.9220 | + | 5.08581i | −0.855970 | + | 0.273415i | ||||
\(347\) | −18.2493 | −0.979673 | −0.489837 | − | 0.871814i | \(-0.662944\pi\) | ||||
−0.489837 | + | 0.871814i | \(0.662944\pi\) | |||||||
\(348\) | 0.403968 | − | 2.39582i | 0.0216549 | − | 0.128430i | ||||
\(349\) | −19.4413 | + | 19.4413i | −1.04067 | + | 1.04067i | −0.0415330 | + | 0.999137i | \(0.513224\pi\) |
−0.999137 | + | 0.0415330i | \(0.986776\pi\) | |||||||
\(350\) | 0.926643 | + | 0.682754i | 0.0495312 | + | 0.0364947i | ||||
\(351\) | − | 12.9152i | − | 0.689364i | ||||||
\(352\) | 16.3202 | + | 17.1541i | 0.869871 | + | 0.914319i | ||||
\(353\) | −1.13598 | − | 1.13598i | −0.0604622 | − | 0.0604622i | 0.676229 | − | 0.736691i | \(-0.263613\pi\) |
−0.736691 | + | 0.676229i | \(0.763613\pi\) | |||||||
\(354\) | −8.61841 | − | 4.44551i | −0.458063 | − | 0.236276i | ||||
\(355\) | −1.41886 | + | 17.8343i | −0.0753054 | + | 0.946549i | ||||
\(356\) | 25.6100 | − | 18.2197i | 1.35733 | − | 0.965643i | ||||
\(357\) | − | 0.204580i | − | 0.0108275i | ||||||
\(358\) | 4.32315 | − | 8.38118i | 0.228485 | − | 0.442959i | ||||
\(359\) | − | 28.4140i | − | 1.49963i | −0.661645 | − | 0.749817i | \(-0.730141\pi\) | ||
0.661645 | − | 0.749817i | \(-0.269859\pi\) | |||||||
\(360\) | 24.2394 | − | 27.4894i | 1.27753 | − | 1.44882i | ||||
\(361\) | − | 8.76116i | − | 0.461114i | ||||||
\(362\) | 23.4347 | + | 12.0880i | 1.23170 | + | 0.635331i | ||||
\(363\) | − | 19.3334i | − | 1.01474i | ||||||
\(364\) | 0.500224 | + | 0.0843445i | 0.0262189 | + | 0.00442085i | ||||
\(365\) | −2.29998 | − | 2.69758i | −0.120387 | − | 0.141198i | ||||
\(366\) | −3.34530 | + | 6.48545i | −0.174861 | + | 0.339000i | ||||
\(367\) | −2.29692 | − | 2.29692i | −0.119898 | − | 0.119898i | 0.644612 | − | 0.764510i | \(-0.277019\pi\) |
−0.764510 | + | 0.644612i | \(0.777019\pi\) | |||||||
\(368\) | 21.1037 | − | 10.2285i | 1.10011 | − | 0.533195i | ||||
\(369\) | − | 44.1364i | − | 2.29765i | ||||||
\(370\) | 1.17868 | + | 5.03882i | 0.0612764 | + | 0.261956i | ||||
\(371\) | −1.31588 | + | 1.31588i | −0.0683172 | + | 0.0683172i | ||||
\(372\) | 14.3896 | + | 20.2263i | 0.746066 | + | 1.04869i | ||||
\(373\) | −18.0787 | −0.936081 | −0.468040 | − | 0.883707i | \(-0.655040\pi\) | ||||
−0.468040 | + | 0.883707i | \(0.655040\pi\) | |||||||
\(374\) | 0.763298 | + | 2.38963i | 0.0394692 | + | 0.123565i | ||||
\(375\) | −7.82251 | + | 32.2206i | −0.403953 | + | 1.66386i | ||||
\(376\) | −2.48392 | − | 17.3578i | −0.128098 | − | 0.895162i | ||||
\(377\) | 0.451348 | + | 0.451348i | 0.0232456 | + | 0.0232456i | ||||
\(378\) | 1.69572 | + | 0.874679i | 0.0872184 | + | 0.0449886i | ||||
\(379\) | −2.79031 | + | 2.79031i | −0.143328 | + | 0.143328i | −0.775130 | − | 0.631802i | \(-0.782316\pi\) |
0.631802 | + | 0.775130i | \(0.282316\pi\) | |||||||
\(380\) | −3.49088 | + | 13.8777i | −0.179078 | + | 0.711911i | ||||
\(381\) | 36.4046 | + | 36.4046i | 1.86506 | + | 1.86506i | ||||
\(382\) | −18.8430 | + | 6.01885i | −0.964090 | + | 0.307951i | ||||
\(383\) | −8.12206 | + | 8.12206i | −0.415018 | + | 0.415018i | −0.883482 | − | 0.468464i | \(-0.844807\pi\) |
0.468464 | + | 0.883482i | \(0.344807\pi\) | |||||||
\(384\) | 27.8152 | − | 18.7631i | 1.41944 | − | 0.957501i | ||||
\(385\) | 0.120823 | − | 1.51868i | 0.00615770 | − | 0.0773990i | ||||
\(386\) | −3.56539 | + | 6.91213i | −0.181474 | + | 0.351818i | ||||
\(387\) | − | 38.9792i | − | 1.98142i | ||||||
\(388\) | −4.55796 | + | 27.0320i | −0.231396 | + | 1.37234i | ||||
\(389\) | −14.4341 | − | 14.4341i | −0.731839 | − | 0.731839i | 0.239145 | − | 0.970984i | \(-0.423133\pi\) |
−0.970984 | + | 0.239145i | \(0.923133\pi\) | |||||||
\(390\) | 3.32844 | + | 14.2290i | 0.168542 | + | 0.720514i | ||||
\(391\) | 2.48468 | 0.125656 | ||||||||
\(392\) | 11.8307 | − | 15.7821i | 0.597539 | − | 0.797114i | ||||
\(393\) | −23.7119 | + | 23.7119i | −1.19611 | + | 1.19611i | ||||
\(394\) | −30.0789 | + | 9.60785i | −1.51535 | + | 0.484036i | ||||
\(395\) | −0.642344 | + | 8.07392i | −0.0323198 | + | 0.406243i | ||||
\(396\) | −47.8346 | − | 8.06556i | −2.40378 | − | 0.405310i | ||||
\(397\) | −35.1624 | −1.76475 | −0.882374 | − | 0.470549i | \(-0.844056\pi\) | ||||
−0.882374 | + | 0.470549i | \(0.844056\pi\) | |||||||
\(398\) | −13.2540 | + | 4.23360i | −0.664362 | + | 0.212211i | ||||
\(399\) | −1.54466 | −0.0773298 | ||||||||
\(400\) | −9.46305 | + | 17.6196i | −0.473153 | + | 0.880980i | ||||
\(401\) | −23.5164 | −1.17435 | −0.587176 | − | 0.809459i | \(-0.699760\pi\) | ||||
−0.587176 | + | 0.809459i | \(0.699760\pi\) | |||||||
\(402\) | −9.96138 | + | 3.18188i | −0.496828 | + | 0.158698i | ||||
\(403\) | −6.52128 | −0.324848 | ||||||||
\(404\) | 6.02265 | − | 35.7187i | 0.299638 | − | 1.77707i | ||||
\(405\) | −1.27608 | + | 16.0396i | −0.0634087 | + | 0.797014i | ||||
\(406\) | −0.0898275 | + | 0.0286928i | −0.00445806 | + | 0.00142400i | ||||
\(407\) | 4.84328 | − | 4.84328i | 0.240072 | − | 0.240072i | ||||
\(408\) | 3.51895 | − | 0.503563i | 0.174214 | − | 0.0249301i | ||||
\(409\) | 23.2595 | 1.15011 | 0.575054 | − | 0.818115i | \(-0.304981\pi\) | ||||
0.575054 | + | 0.818115i | \(0.304981\pi\) | |||||||
\(410\) | 5.48594 | + | 23.4523i | 0.270931 | + | 1.15823i | ||||
\(411\) | 9.15043 | + | 9.15043i | 0.451357 | + | 0.451357i | ||||
\(412\) | 12.0972 | + | 2.03975i | 0.595986 | + | 0.100491i | ||||
\(413\) | 0.376374i | 0.0185201i | ||||||||
\(414\) | −22.0262 | + | 42.7017i | −1.08253 | + | 2.09868i | ||||
\(415\) | −0.288401 | + | 3.62505i | −0.0141571 | + | 0.177947i | ||||
\(416\) | −0.219520 | + | 8.81188i | −0.0107628 | + | 0.432038i | ||||
\(417\) | −36.2415 | + | 36.2415i | −1.77475 | + | 1.77475i | ||||
\(418\) | 18.0427 | − | 5.76322i | 0.882496 | − | 0.281888i | ||||
\(419\) | 6.63975 | + | 6.63975i | 0.324373 | + | 0.324373i | 0.850442 | − | 0.526069i | \(-0.176335\pi\) |
−0.526069 | + | 0.850442i | \(0.676335\pi\) | |||||||
\(420\) | −2.09363 | − | 0.526644i | −0.102159 | − | 0.0256976i | ||||
\(421\) | 7.28216 | − | 7.28216i | 0.354911 | − | 0.354911i | −0.507022 | − | 0.861933i | \(-0.669254\pi\) |
0.861933 | + | 0.507022i | \(0.169254\pi\) | |||||||
\(422\) | 19.6465 | + | 10.1340i | 0.956376 | + | 0.493314i | ||||
\(423\) | 25.4027 | + | 25.4027i | 1.23512 | + | 1.23512i | ||||
\(424\) | −25.8733 | − | 19.3953i | −1.25652 | − | 0.941919i | ||||
\(425\) | −1.71640 | + | 1.24258i | −0.0832576 | + | 0.0602740i | ||||
\(426\) | −10.2103 | − | 31.9650i | −0.494691 | − | 1.54871i | ||||
\(427\) | 0.283225 | 0.0137062 | ||||||||
\(428\) | 19.5245 | − | 13.8903i | 0.943751 | − | 0.671413i | ||||
\(429\) | 13.6768 | − | 13.6768i | 0.660323 | − | 0.660323i | ||||
\(430\) | 4.84493 | + | 20.7120i | 0.233643 | + | 0.998821i | ||||
\(431\) | 11.7250i | 0.564771i | 0.959301 | + | 0.282386i | \(0.0911258\pi\) | ||||
−0.959301 | + | 0.282386i | \(0.908874\pi\) | |||||||
\(432\) | −10.8713 | + | 31.3208i | −0.523045 | + | 1.50692i | ||||
\(433\) | −20.8827 | − | 20.8827i | −1.00356 | − | 1.00356i | −0.999994 | − | 0.00356603i | \(-0.998865\pi\) |
−0.00356603 | − | 0.999994i | \(-0.501135\pi\) | |||||||
\(434\) | 0.441651 | − | 0.856218i | 0.0211999 | − | 0.0410998i | ||||
\(435\) | −1.76242 | − | 2.06708i | −0.0845014 | − | 0.0991090i | ||||
\(436\) | −1.88816 | + | 11.1982i | −0.0904265 | + | 0.536294i | ||||
\(437\) | − | 18.7604i | − | 0.897430i | ||||||
\(438\) | 5.90921 | + | 3.04807i | 0.282353 | + | 0.145642i | ||||
\(439\) | 7.53661i | 0.359703i | 0.983694 | + | 0.179851i | \(0.0575617\pi\) | ||||
−0.983694 | + | 0.179851i | \(0.942438\pi\) | |||||||
\(440\) | 26.4199 | − | 1.65990i | 1.25952 | − | 0.0791325i | ||||
\(441\) | 40.4105i | 1.92431i | ||||||||
\(442\) | −0.428120 | + | 0.829985i | −0.0203636 | + | 0.0394784i | ||||
\(443\) | − | 25.7280i | − | 1.22237i | −0.791486 | − | 0.611187i | \(-0.790692\pi\) | ||
0.791486 | − | 0.611187i | \(-0.209308\pi\) | |||||||
\(444\) | −5.62655 | − | 7.90879i | −0.267024 | − | 0.375334i | ||||
\(445\) | 2.78682 | − | 35.0289i | 0.132108 | − | 1.66053i | ||||
\(446\) | 10.5577 | + | 5.44584i | 0.499922 | + | 0.257868i | ||||
\(447\) | −7.68604 | − | 7.68604i | −0.363537 | − | 0.363537i | ||||
\(448\) | −1.14210 | − | 0.625604i | −0.0539591 | − | 0.0295570i | ||||
\(449\) | − | 2.33824i | − | 0.110348i | −0.998477 | − | 0.0551741i | \(-0.982429\pi\) | ||
0.998477 | − | 0.0551741i | \(-0.0175714\pi\) | |||||||
\(450\) | −6.13942 | − | 40.5133i | −0.289415 | − | 1.90981i | ||||
\(451\) | 22.5422 | − | 22.5422i | 1.06147 | − | 1.06147i | ||||
\(452\) | −18.0662 | − | 3.04621i | −0.849765 | − | 0.143282i | ||||
\(453\) | 50.2950 | 2.36306 | ||||||||
\(454\) | −31.2682 | + | 9.98774i | −1.46749 | + | 0.468748i | ||||
\(455\) | 0.431586 | − | 0.367975i | 0.0202331 | − | 0.0172509i | ||||
\(456\) | −3.80211 | − | 26.5695i | −0.178050 | − | 1.24423i | ||||
\(457\) | 10.4561 | + | 10.4561i | 0.489115 | + | 0.489115i | 0.908027 | − | 0.418912i | \(-0.137588\pi\) |
−0.418912 | + | 0.908027i | \(0.637588\pi\) | |||||||
\(458\) | −5.13383 | + | 9.95282i | −0.239888 | + | 0.465065i | ||||
\(459\) | −2.48378 | + | 2.48378i | −0.115933 | + | 0.115933i | ||||
\(460\) | 6.39625 | − | 25.4278i | 0.298226 | − | 1.18558i | ||||
\(461\) | 15.6903 | + | 15.6903i | 0.730769 | + | 0.730769i | 0.970772 | − | 0.240003i | \(-0.0771484\pi\) |
−0.240003 | + | 0.970772i | \(0.577148\pi\) | |||||||
\(462\) | 0.869455 | + | 2.72197i | 0.0404507 | + | 0.126637i | ||||
\(463\) | −19.6332 | + | 19.6332i | −0.912434 | + | 0.912434i | −0.996463 | − | 0.0840297i | \(-0.973221\pi\) |
0.0840297 | + | 0.996463i | \(0.473221\pi\) | |||||||
\(464\) | −0.714647 | − | 1.47448i | −0.0331766 | − | 0.0684511i | ||||
\(465\) | 27.6652 | + | 2.20098i | 1.28294 | + | 0.102068i | ||||
\(466\) | 5.36791 | + | 2.76886i | 0.248664 | + | 0.128265i | ||||
\(467\) | 24.4862i | 1.13309i | 0.824032 | + | 0.566543i | \(0.191719\pi\) | ||||
−0.824032 | + | 0.566543i | \(0.808281\pi\) | |||||||
\(468\) | −10.4689 | − | 14.7153i | −0.483926 | − | 0.680216i | ||||
\(469\) | 0.286989 | + | 0.286989i | 0.0132519 | + | 0.0132519i | ||||
\(470\) | −16.6554 | − | 10.3406i | −0.768257 | − | 0.476974i | ||||
\(471\) | −25.3630 | −1.16866 | ||||||||
\(472\) | −6.47395 | + | 0.926426i | −0.297987 | + | 0.0426422i | ||||
\(473\) | 19.9082 | − | 19.9082i | 0.915380 | − | 0.915380i | ||||
\(474\) | −4.62239 | − | 14.4711i | −0.212313 | − | 0.664681i | ||||
\(475\) | 9.38199 | + | 12.9595i | 0.430475 | + | 0.594624i | ||||
\(476\) | −0.0799795 | − | 0.112421i | −0.00366586 | − | 0.00515280i | ||||
\(477\) | 66.2493 | 3.03335 | ||||||||
\(478\) | −0.000597550 | − | 0.00187073i | −2.73313e−5 | − | 8.55650e-5i | ||||
\(479\) | 37.0609 | 1.69335 | 0.846677 | − | 0.532108i | \(-0.178600\pi\) | ||||
0.846677 | + | 0.532108i | \(0.178600\pi\) | |||||||
\(480\) | 3.90535 | − | 37.3085i | 0.178254 | − | 1.70289i | ||||
\(481\) | 2.54991 | 0.116266 | ||||||||
\(482\) | −5.53286 | − | 17.3215i | −0.252015 | − | 0.788973i | ||||
\(483\) | 2.83024 | 0.128781 | ||||||||
\(484\) | −7.55832 | − | 10.6241i | −0.343560 | − | 0.482915i | ||||
\(485\) | 19.8853 | + | 23.3229i | 0.902945 | + | 1.05904i | ||||
\(486\) | 1.51704 | + | 4.74935i | 0.0688145 | + | 0.215435i | ||||
\(487\) | 20.1912 | − | 20.1912i | 0.914950 | − | 0.914950i | −0.0817061 | − | 0.996656i | \(-0.526037\pi\) |
0.996656 | + | 0.0817061i | \(0.0260369\pi\) | |||||||
\(488\) | 0.697145 | + | 4.87172i | 0.0315583 | + | 0.220532i | ||||
\(489\) | 10.6109 | 0.479840 | ||||||||
\(490\) | −5.02283 | − | 21.4725i | −0.226908 | − | 0.970029i | ||||
\(491\) | −7.45822 | − | 7.45822i | −0.336585 | − | 0.336585i | 0.518496 | − | 0.855080i | \(-0.326492\pi\) |
−0.855080 | + | 0.518496i | \(0.826492\pi\) | |||||||
\(492\) | −26.1878 | − | 36.8101i | −1.18064 | − | 1.65953i | ||||
\(493\) | − | 0.173601i | − | 0.00781860i | ||||||
\(494\) | 6.26673 | + | 3.23248i | 0.281953 | + | 0.145436i | ||||
\(495\) | −41.2711 | + | 35.1881i | −1.85500 | + | 1.58159i | ||||
\(496\) | 15.8148 | + | 5.48923i | 0.710104 | + | 0.246474i | ||||
\(497\) | −0.920917 | + | 0.920917i | −0.0413088 | + | 0.0413088i | ||||
\(498\) | −2.07537 | − | 6.49728i | −0.0929996 | − | 0.291150i | ||||
\(499\) | 8.17420 | + | 8.17420i | 0.365927 | + | 0.365927i | 0.865990 | − | 0.500062i | \(-0.166689\pi\) |
−0.500062 | + | 0.865990i | \(0.666689\pi\) | |||||||
\(500\) | 8.29785 | + | 20.7640i | 0.371091 | + | 0.928596i | ||||
\(501\) | −1.43202 | + | 1.43202i | −0.0639778 | + | 0.0639778i | ||||
\(502\) | 8.38100 | − | 16.2480i | 0.374062 | − | 0.725185i | ||||
\(503\) | −29.2327 | − | 29.2327i | −1.30342 | − | 1.30342i | −0.926072 | − | 0.377348i | \(-0.876836\pi\) |
−0.377348 | − | 0.926072i | \(-0.623164\pi\) | |||||||
\(504\) | 2.64107 | − | 0.377938i | 0.117642 | − | 0.0168347i | ||||
\(505\) | −26.2754 | − | 30.8176i | −1.16924 | − | 1.37136i | ||||
\(506\) | −33.0591 | + | 10.5598i | −1.46966 | + | 0.469440i | ||||
\(507\) | −31.3523 | −1.39241 | ||||||||
\(508\) | 34.2373 | + | 5.77287i | 1.51903 | + | 0.256130i | ||||
\(509\) | −20.0340 | + | 20.0340i | −0.887992 | + | 0.887992i | −0.994330 | − | 0.106338i | \(-0.966088\pi\) |
0.106338 | + | 0.994330i | \(0.466088\pi\) | |||||||
\(510\) | 2.09634 | − | 3.37655i | 0.0928273 | − | 0.149516i | ||||
\(511\) | − | 0.258061i | − | 0.0114159i | ||||||
\(512\) | 7.94969 | − | 21.1850i | 0.351330 | − | 0.936252i | ||||
\(513\) | 18.7536 | + | 18.7536i | 0.827991 | + | 0.827991i | ||||
\(514\) | 37.8126 | + | 19.5044i | 1.66784 | + | 0.860301i | ||||
\(515\) | 10.4373 | − | 8.89895i | 0.459922 | − | 0.392135i | ||||
\(516\) | −23.1278 | − | 32.5089i | −1.01815 | − | 1.43113i | ||||
\(517\) | 25.9483i | 1.14121i | ||||||||
\(518\) | −0.172692 | + | 0.334794i | −0.00758765 | + | 0.0147100i | ||||
\(519\) | − | 35.0504i | − | 1.53854i | ||||||
\(520\) | 7.39181 | + | 6.51790i | 0.324152 | + | 0.285829i | ||||
\(521\) | 5.89264i | 0.258161i | 0.991634 | + | 0.129081i | \(0.0412026\pi\) | ||||
−0.991634 | + | 0.129081i | \(0.958797\pi\) | |||||||
\(522\) | 2.98351 | + | 1.53894i | 0.130585 | + | 0.0673576i | ||||
\(523\) | − | 24.6537i | − | 1.07803i | −0.842296 | − | 0.539015i | \(-0.818797\pi\) | ||
0.842296 | − | 0.539015i | \(-0.181203\pi\) | |||||||
\(524\) | −3.76012 | + | 22.3003i | −0.164262 | + | 0.974191i | ||||
\(525\) | −1.95511 | + | 1.41539i | −0.0853280 | + | 0.0617729i | ||||
\(526\) | 15.3309 | − | 29.7217i | 0.668460 | − | 1.29593i | ||||
\(527\) | 1.25413 | + | 1.25413i | 0.0546309 | + | 0.0546309i | ||||
\(528\) | −44.6801 | + | 21.6554i | −1.94445 | + | 0.942429i | ||||
\(529\) | 11.3742i | 0.494528i | ||||||||
\(530\) | −35.2022 | + | 8.23447i | −1.52909 | + | 0.357683i | ||||
\(531\) | 9.47444 | − | 9.47444i | 0.411156 | − | 0.411156i | ||||
\(532\) | −0.848823 | + | 0.603878i | −0.0368012 | + | 0.0261814i | ||||
\(533\) | 11.8681 | 0.514066 | ||||||||
\(534\) | 20.0543 | + | 62.7833i | 0.867835 | + | 2.71690i | ||||
\(535\) | 2.12461 | − | 26.7052i | 0.0918549 | − | 1.15457i | ||||
\(536\) | −4.23004 | + | 5.64286i | −0.182710 | + | 0.243735i | ||||
\(537\) | 13.9836 | + | 13.9836i | 0.603435 | + | 0.603435i | ||||
\(538\) | 28.2788 | + | 14.5867i | 1.21919 | + | 0.628876i | ||||
\(539\) | −20.6392 | + | 20.6392i | −0.888994 | + | 0.888994i | ||||
\(540\) | 19.0246 | + | 31.8125i | 0.818690 | + | 1.36899i | ||||
\(541\) | −27.1762 | − | 27.1762i | −1.16840 | − | 1.16840i | −0.982585 | − | 0.185812i | \(-0.940508\pi\) |
−0.185812 | − | 0.982585i | \(-0.559492\pi\) | |||||||
\(542\) | 16.6510 | − | 5.31869i | 0.715223 | − | 0.228457i | ||||
\(543\) | −39.0996 | + | 39.0996i | −1.67792 | + | 1.67792i | ||||
\(544\) | 1.73687 | − | 1.65243i | 0.0744676 | − | 0.0708475i | ||||
\(545\) | 8.23759 | + | 9.66162i | 0.352860 | + | 0.413858i | ||||
\(546\) | −0.487661 | + | 0.945416i | −0.0208700 | + | 0.0404601i | ||||
\(547\) | − | 3.69225i | − | 0.157869i | −0.996880 | − | 0.0789347i | \(-0.974848\pi\) | ||
0.996880 | − | 0.0789347i | \(-0.0251519\pi\) | |||||||
\(548\) | 8.60567 | + | 1.45103i | 0.367616 | + | 0.0619850i | ||||
\(549\) | −7.12962 | − | 7.12962i | −0.304285 | − | 0.304285i | ||||
\(550\) | 17.5561 | − | 23.8274i | 0.748594 | − | 1.01600i | ||||
\(551\) | −1.31076 | −0.0558402 | ||||||||
\(552\) | 6.96651 | + | 48.6826i | 0.296514 | + | 2.07207i | ||||
\(553\) | −0.416915 | + | 0.416915i | −0.0177290 | + | 0.0177290i | ||||
\(554\) | 28.3267 | − | 9.04815i | 1.20349 | − | 0.384419i | ||||
\(555\) | −10.8175 | − | 0.860616i | −0.459177 | − | 0.0365311i | ||||
\(556\) | −5.74700 | + | 34.0839i | −0.243727 | + | 1.44548i | ||||
\(557\) | 12.2117 | 0.517426 | 0.258713 | − | 0.965954i | \(-0.416702\pi\) | ||||
0.258713 | + | 0.965954i | \(0.416702\pi\) | |||||||
\(558\) | −32.6712 | + | 10.4359i | −1.38308 | + | 0.441786i | ||||
\(559\) | 10.4814 | 0.443315 | ||||||||
\(560\) | −1.35638 | + | 0.529093i | −0.0573176 | + | 0.0223583i | ||||
\(561\) | −5.26049 | −0.222098 | ||||||||
\(562\) | 14.3886 | − | 4.59603i | 0.606947 | − | 0.193872i | ||||
\(563\) | −12.2211 | −0.515057 | −0.257528 | − | 0.966271i | \(-0.582908\pi\) | ||||
−0.257528 | + | 0.966271i | \(0.582908\pi\) | |||||||
\(564\) | 36.2584 | + | 6.11366i | 1.52676 | + | 0.257432i | ||||
\(565\) | −15.5873 | + | 13.2899i | −0.655763 | + | 0.559110i | ||||
\(566\) | −16.9669 | + | 5.41960i | −0.713174 | + | 0.227803i | ||||
\(567\) | −0.828241 | + | 0.828241i | −0.0347829 | + | 0.0347829i | ||||
\(568\) | −18.1074 | − | 13.5738i | −0.759768 | − | 0.569543i | ||||
\(569\) | −30.9592 | −1.29788 | −0.648938 | − | 0.760841i | \(-0.724787\pi\) | ||||
−0.648938 | + | 0.760841i | \(0.724787\pi\) | |||||||
\(570\) | −25.4943 | − | 15.8282i | −1.06784 | − | 0.662970i | ||||
\(571\) | 30.1508 | + | 30.1508i | 1.26177 | + | 1.26177i | 0.950233 | + | 0.311539i | \(0.100844\pi\) |
0.311539 | + | 0.950233i | \(0.399156\pi\) | |||||||
\(572\) | 2.16881 | − | 12.8626i | 0.0906823 | − | 0.537812i | ||||
\(573\) | − | 41.4806i | − | 1.73288i | ||||||
\(574\) | −0.803765 | + | 1.55824i | −0.0335485 | + | 0.0650397i | ||||
\(575\) | −17.1904 | − | 23.7454i | −0.716889 | − | 0.990252i | ||||
\(576\) | 13.0017 | + | 44.4983i | 0.541738 | + | 1.85410i | ||||
\(577\) | 1.98215 | − | 1.98215i | 0.0825181 | − | 0.0825181i | −0.664643 | − | 0.747161i | \(-0.731416\pi\) |
0.747161 | + | 0.664643i | \(0.231416\pi\) | |||||||
\(578\) | −22.6597 | + | 7.23800i | −0.942520 | + | 0.301061i | ||||
\(579\) | −11.5325 | − | 11.5325i | −0.479276 | − | 0.479276i | ||||
\(580\) | −1.77660 | − | 0.446896i | −0.0737693 | − | 0.0185564i | ||||
\(581\) | −0.187188 | + | 0.187188i | −0.00776586 | + | 0.00776586i | ||||
\(582\) | −51.0901 | − | 26.3531i | −2.11775 | − | 1.09237i | ||||
\(583\) | 33.8361 | + | 33.8361i | 1.40135 | + | 1.40135i | ||||
\(584\) | 4.43886 | − | 0.635204i | 0.183681 | − | 0.0262849i | ||||
\(585\) | −20.1273 | − | 1.60129i | −0.832163 | − | 0.0662051i | ||||
\(586\) | 1.47653 | + | 4.62253i | 0.0609951 | + | 0.190955i | ||||
\(587\) | 26.9680 | 1.11309 | 0.556544 | − | 0.830818i | \(-0.312127\pi\) | ||||
0.556544 | + | 0.830818i | \(0.312127\pi\) | |||||||
\(588\) | 23.9771 | + | 33.7026i | 0.988797 | + | 1.38987i | ||||
\(589\) | 9.46923 | − | 9.46923i | 0.390173 | − | 0.390173i | ||||
\(590\) | −3.85671 | + | 6.21197i | −0.158778 | + | 0.255743i | ||||
\(591\) | − | 66.2153i | − | 2.72373i | ||||||
\(592\) | −6.18381 | − | 2.14637i | −0.254153 | − | 0.0882152i | ||||
\(593\) | 16.6701 | + | 16.6701i | 0.684560 | + | 0.684560i | 0.961024 | − | 0.276464i | \(-0.0891626\pi\) |
−0.276464 | + | 0.961024i | \(0.589163\pi\) | |||||||
\(594\) | 22.4912 | − | 43.6032i | 0.922825 | − | 1.78906i | ||||
\(595\) | −0.153767 | − | 0.0122334i | −0.00630383 | − | 0.000501520i | ||||
\(596\) | −7.22846 | − | 1.21882i | −0.296089 | − | 0.0499247i | ||||
\(597\) | − | 29.1771i | − | 1.19414i | ||||||
\(598\) | −11.4824 | − | 5.92279i | −0.469549 | − | 0.242201i | ||||
\(599\) | 28.8376i | 1.17827i | 0.808033 | + | 0.589137i | \(0.200532\pi\) | ||||
−0.808033 | + | 0.589137i | \(0.799468\pi\) | |||||||
\(600\) | −29.1584 | − | 30.1456i | −1.19039 | − | 1.23069i | ||||
\(601\) | 1.91377i | 0.0780642i | 0.999238 | + | 0.0390321i | \(0.0124275\pi\) | ||||
−0.999238 | + | 0.0390321i | \(0.987573\pi\) | |||||||
\(602\) | −0.709847 | + | 1.37616i | −0.0289312 | + | 0.0560882i | ||||
\(603\) | − | 14.4487i | − | 0.588397i | ||||||
\(604\) | 27.6381 | − | 19.6626i | 1.12458 | − | 0.800059i | ||||
\(605\) | −14.5315 | − | 1.15609i | −0.590789 | − | 0.0470019i | ||||
\(606\) | 67.5078 | + | 34.8216i | 2.74232 | + | 1.41453i | ||||
\(607\) | −7.89049 | − | 7.89049i | −0.320265 | − | 0.320265i | 0.528604 | − | 0.848869i | \(-0.322716\pi\) |
−0.848869 | + | 0.528604i | \(0.822716\pi\) | |||||||
\(608\) | −12.4766 | − | 13.1141i | −0.505991 | − | 0.531845i | ||||
\(609\) | − | 0.197745i | − | 0.00801303i | ||||||
\(610\) | 4.67457 | + | 2.90222i | 0.189268 | + | 0.117507i | ||||
\(611\) | −6.83071 | + | 6.83071i | −0.276341 | + | 0.276341i | ||||
\(612\) | −0.816643 | + | 4.84329i | −0.0330109 | + | 0.195778i | ||||
\(613\) | −40.1035 | −1.61976 | −0.809882 | − | 0.586592i | \(-0.800469\pi\) | ||||
−0.809882 | + | 0.586592i | \(0.800469\pi\) | |||||||
\(614\) | −15.9104 | + | 5.08213i | −0.642092 | + | 0.205098i | ||||
\(615\) | −50.3481 | − | 4.00559i | −2.03023 | − | 0.161521i | ||||
\(616\) | 1.54193 | + | 1.15587i | 0.0621259 | + | 0.0465713i | ||||
\(617\) | 14.5821 | + | 14.5821i | 0.587052 | + | 0.587052i | 0.936832 | − | 0.349780i | \(-0.113744\pi\) |
−0.349780 | + | 0.936832i | \(0.613744\pi\) | |||||||
\(618\) | −11.7934 | + | 22.8635i | −0.474399 | + | 0.919707i | ||||
\(619\) | −4.01752 | + | 4.01752i | −0.161478 | + | 0.161478i | −0.783221 | − | 0.621743i | \(-0.786425\pi\) |
0.621743 | + | 0.783221i | \(0.286425\pi\) | |||||||
\(620\) | 16.0630 | − | 9.60609i | 0.645108 | − | 0.385790i | ||||
\(621\) | −34.3617 | − | 34.3617i | −1.37889 | − | 1.37889i | ||||
\(622\) | 9.73628 | + | 30.4810i | 0.390389 | + | 1.22218i | ||||
\(623\) | 1.80880 | − | 1.80880i | 0.0724679 | − | 0.0724679i | ||||
\(624\) | −17.4623 | − | 6.06108i | −0.699052 | − | 0.242638i | ||||
\(625\) | 23.7500 | + | 7.80630i | 0.949999 | + | 0.312252i | ||||
\(626\) | 12.6013 | + | 6.49993i | 0.503648 | + | 0.259790i | ||||
\(627\) | 39.7189i | 1.58622i | ||||||||
\(628\) | −13.9375 | + | 9.91553i | −0.556166 | + | 0.395673i | ||||
\(629\) | −0.490385 | − | 0.490385i | −0.0195529 | − | 0.0195529i | ||||
\(630\) | 1.57336 | − | 2.53419i | 0.0626841 | − | 0.100965i | ||||
\(631\) | −26.9309 | −1.07210 | −0.536052 | − | 0.844185i | \(-0.680085\pi\) | ||||
−0.536052 | + | 0.844185i | \(0.680085\pi\) | |||||||
\(632\) | −8.19752 | − | 6.14508i | −0.326080 | − | 0.244438i | ||||
\(633\) | −32.7791 | + | 32.7791i | −1.30285 | + | 1.30285i | ||||
\(634\) | −10.8122 | − | 33.8493i | −0.429407 | − | 1.34433i | ||||
\(635\) | 29.5395 | − | 25.1856i | 1.17224 | − | 0.999462i | ||||
\(636\) | 55.2524 | − | 39.3082i | 2.19090 | − | 1.55867i | ||||
\(637\) | −10.8662 | −0.430536 | ||||||||
\(638\) | 0.737797 | + | 2.30979i | 0.0292097 | + | 0.0914456i | ||||
\(639\) | 46.3644 | 1.83415 | ||||||||
\(640\) | −12.4395 | − | 22.0286i | −0.491715 | − | 0.870756i | ||||
\(641\) | 18.6880 | 0.738131 | 0.369065 | − | 0.929403i | \(-0.379678\pi\) | ||||
0.369065 | + | 0.929403i | \(0.379678\pi\) | |||||||
\(642\) | 15.2890 | + | 47.8645i | 0.603407 | + | 1.88906i | ||||
\(643\) | 29.6249 | 1.16829 | 0.584146 | − | 0.811648i | \(-0.301429\pi\) | ||||
0.584146 | + | 0.811648i | \(0.301429\pi\) | |||||||
\(644\) | 1.55528 | − | 1.10647i | 0.0612865 | − | 0.0436011i | ||||
\(645\) | −44.4651 | − | 3.53755i | −1.75081 | − | 0.139291i | ||||
\(646\) | −0.583529 | − | 1.82683i | −0.0229586 | − | 0.0718758i | ||||
\(647\) | −5.04426 | + | 5.04426i | −0.198310 | + | 0.198310i | −0.799275 | − | 0.600965i | \(-0.794783\pi\) |
0.600965 | + | 0.799275i | \(0.294783\pi\) | |||||||
\(648\) | −16.2851 | − | 12.2078i | −0.639740 | − | 0.479567i | ||||
\(649\) | 9.67794 | 0.379893 | ||||||||
\(650\) | 10.8939 | − | 1.65087i | 0.427294 | − | 0.0647525i | ||||
\(651\) | 1.42855 | + | 1.42855i | 0.0559895 | + | 0.0559895i | ||||
\(652\) | 5.83089 | − | 4.14827i | 0.228355 | − | 0.162459i | ||||
\(653\) | 3.04934i | 0.119330i | 0.998218 | + | 0.0596649i | \(0.0190032\pi\) | ||||
−0.998218 | + | 0.0596649i | \(0.980997\pi\) | |||||||
\(654\) | −21.1644 | − | 10.9169i | −0.827592 | − | 0.426885i | ||||
\(655\) | 16.4045 | + | 19.2404i | 0.640978 | + | 0.751783i | ||||
\(656\) | −28.7815 | − | 9.98991i | −1.12373 | − | 0.390040i | ||||
\(657\) | −6.49615 | + | 6.49615i | −0.253439 | + | 0.253439i | ||||
\(658\) | −0.434238 | − | 1.35945i | −0.0169284 | − | 0.0529970i | ||||
\(659\) | 22.0441 | + | 22.0441i | 0.858718 | + | 0.858718i | 0.991187 | − | 0.132469i | \(-0.0422906\pi\) |
−0.132469 | + | 0.991187i | \(0.542291\pi\) | |||||||
\(660\) | −13.5419 | + | 53.8349i | −0.527119 | + | 2.09552i | ||||
\(661\) | 8.09788 | − | 8.09788i | 0.314971 | − | 0.314971i | −0.531861 | − | 0.846832i | \(-0.678507\pi\) |
0.846832 | + | 0.531861i | \(0.178507\pi\) | |||||||
\(662\) | −5.32531 | + | 10.3241i | −0.206974 | + | 0.401256i | ||||
\(663\) | −1.38479 | − | 1.38479i | −0.0537807 | − | 0.0537807i | ||||
\(664\) | −3.68054 | − | 2.75904i | −0.142833 | − | 0.107071i | ||||
\(665\) | −0.0923670 | + | 1.16100i | −0.00358184 | + | 0.0450218i | ||||
\(666\) | 12.7749 | − | 4.08058i | 0.495018 | − | 0.158119i | ||||
\(667\) | 2.40167 | 0.0929931 | ||||||||
\(668\) | −0.227083 | + | 1.34676i | −0.00878609 | + | 0.0521078i | ||||
\(669\) | −17.6150 | + | 17.6150i | −0.681035 | + | 0.681035i | ||||
\(670\) | 1.79591 | + | 7.67748i | 0.0693820 | + | 0.296607i | ||||
\(671\) | − | 7.28276i | − | 0.281148i | ||||||
\(672\) | 1.97842 | − | 1.88225i | 0.0763194 | − | 0.0726093i | ||||
\(673\) | −27.1768 | − | 27.1768i | −1.04759 | − | 1.04759i | −0.998810 | − | 0.0487786i | \(-0.984467\pi\) |
−0.0487786 | − | 0.998810i | \(-0.515533\pi\) | |||||||
\(674\) | −13.1831 | − | 6.80006i | −0.507795 | − | 0.261929i | ||||
\(675\) | 40.9210 | + | 6.55265i | 1.57505 | + | 0.252212i | ||||
\(676\) | −17.2287 | + | 12.2570i | −0.662644 | + | 0.471425i | ||||
\(677\) | − | 28.6501i | − | 1.10111i | −0.834798 | − | 0.550557i | \(-0.814415\pi\) | ||
0.834798 | − | 0.550557i | \(-0.185585\pi\) | |||||||
\(678\) | 17.6125 | − | 34.1450i | 0.676405 | − | 1.31133i | ||||
\(679\) | 2.23115i | 0.0856238i | ||||||||
\(680\) | −0.168066 | − | 2.67504i | −0.00644502 | − | 0.102583i | ||||
\(681\) | − | 68.8334i | − | 2.63770i | ||||||
\(682\) | −22.0165 | − | 11.3565i | −0.843055 | − | 0.434861i | ||||
\(683\) | 30.8472i | 1.18034i | 0.807281 | + | 0.590168i | \(0.200938\pi\) | ||||
−0.807281 | + | 0.590168i | \(0.799062\pi\) | |||||||
\(684\) | 36.5688 | + | 6.16599i | 1.39824 | + | 0.235763i | ||||
\(685\) | 7.42485 | − | 6.33051i | 0.283689 | − | 0.241876i | ||||
\(686\) | 1.47462 | − | 2.85881i | 0.0563013 | − | 0.109150i | ||||
\(687\) | −16.6058 | − | 16.6058i | −0.633549 | − | 0.633549i | ||||
\(688\) | −25.4184 | − | 8.82261i | −0.969069 | − | 0.336359i | ||||
\(689\) | 17.8142i | 0.678668i | ||||||||
\(690\) | 46.7126 | + | 29.0016i | 1.77832 | + | 1.10407i | ||||
\(691\) | 0.253186 | − | 0.253186i | 0.00963164 | − | 0.00963164i | −0.702275 | − | 0.711906i | \(-0.747832\pi\) |
0.711906 | + | 0.702275i | \(0.247832\pi\) | |||||||
\(692\) | −13.7028 | − | 19.2609i | −0.520901 | − | 0.732189i | ||||
\(693\) | −3.94815 | −0.149978 | ||||||||
\(694\) | −7.85286 | − | 24.5847i | −0.298091 | − | 0.933221i | ||||
\(695\) | 25.0728 | + | 29.4071i | 0.951066 | + | 1.11548i | ||||
\(696\) | 3.40138 | − | 0.486740i | 0.128929 | − | 0.0184498i | ||||
\(697\) | −2.28241 | − | 2.28241i | −0.0864525 | − | 0.0864525i | ||||
\(698\) | −34.5563 | − | 17.8247i | −1.30798 | − | 0.674675i | ||||
\(699\) | −8.95608 | + | 8.95608i | −0.338750 | + | 0.338750i | ||||
\(700\) | −0.521032 | + | 1.54213i | −0.0196932 | + | 0.0582870i | ||||
\(701\) | 10.5238 | + | 10.5238i | 0.397479 | + | 0.397479i | 0.877343 | − | 0.479864i | \(-0.159314\pi\) |
−0.479864 | + | 0.877343i | \(0.659314\pi\) | |||||||
\(702\) | 17.3989 | − | 5.55756i | 0.656677 | − | 0.209757i | ||||
\(703\) | −3.70261 | + | 3.70261i | −0.139646 | + | 0.139646i | ||||
\(704\) | −16.0866 | + | 29.3675i | −0.606285 | + | 1.10683i | ||||
\(705\) | 31.2833 | − | 26.6725i | 1.17820 | − | 1.00454i | ||||
\(706\) | 1.04152 | − | 2.01917i | 0.0391982 | − | 0.0759925i | ||||
\(707\) | − | 2.94813i | − | 0.110876i | ||||||
\(708\) | 2.28021 | − | 13.5233i | 0.0856956 | − | 0.508237i | ||||
\(709\) | 1.58968 | + | 1.58968i | 0.0597015 | + | 0.0597015i | 0.736327 | − | 0.676626i | \(-0.236558\pi\) |
−0.676626 | + | 0.736327i | \(0.736558\pi\) | |||||||
\(710\) | −24.6362 | + | 5.76288i | −0.924581 | + | 0.216277i | ||||
\(711\) | 20.9900 | 0.787186 | ||||||||
\(712\) | 35.5651 | + | 26.6606i | 1.33286 | + | 0.999147i | ||||
\(713\) | −17.3502 | + | 17.3502i | −0.649771 | + | 0.649771i | ||||
\(714\) | 0.275601 | − | 0.0880329i | 0.0103141 | − | 0.00329455i | ||||
\(715\) | −9.46198 | − | 11.0977i | −0.353858 | − | 0.415029i | ||||
\(716\) | 13.1511 | + | 2.21745i | 0.491478 | + | 0.0828699i | ||||
\(717\) | 0.00411819 | 0.000153797 | ||||||||
\(718\) | 38.2781 | − | 12.2269i | 1.42853 | − | 0.456302i | ||||
\(719\) | −22.8919 | −0.853722 | −0.426861 | − | 0.904317i | \(-0.640381\pi\) | ||||
−0.426861 | + | 0.904317i | \(0.640381\pi\) | |||||||
\(720\) | 47.4630 | + | 20.8253i | 1.76884 | + | 0.776113i | ||||
\(721\) | 0.998472 | 0.0371850 | ||||||||
\(722\) | 11.8027 | − | 3.77002i | 0.439249 | − | 0.140306i | ||||
\(723\) | 38.1313 | 1.41812 | ||||||||
\(724\) | −6.20023 | + | 36.7718i | −0.230430 | + | 1.36661i | ||||
\(725\) | −1.65906 | + | 1.20107i | −0.0616158 | + | 0.0446065i | ||||
\(726\) | 26.0452 | − | 8.31939i | 0.966628 | − | 0.308762i | ||||
\(727\) | 20.1893 | − | 20.1893i | 0.748780 | − | 0.748780i | −0.225470 | − | 0.974250i | \(-0.572392\pi\) |
0.974250 | + | 0.225470i | \(0.0723919\pi\) | |||||||
\(728\) | 0.101626 | + | 0.710175i | 0.00376653 | + | 0.0263208i | ||||
\(729\) | −32.0425 | −1.18676 | ||||||||
\(730\) | 2.64436 | − | 4.25924i | 0.0978720 | − | 0.157641i | ||||
\(731\) | −2.01572 | − | 2.01572i | −0.0745540 | − | 0.0745540i | ||||
\(732\) | −10.1764 | − | 1.71588i | −0.376132 | − | 0.0634209i | ||||
\(733\) | − | 14.3253i | − | 0.529118i | −0.964370 | − | 0.264559i | \(-0.914774\pi\) | ||
0.964370 | − | 0.264559i | \(-0.0852263\pi\) | |||||||
\(734\) | 2.10592 | − | 4.08270i | 0.0777311 | − | 0.150695i | ||||
\(735\) | 46.0978 | + | 3.66744i | 1.70034 | + | 0.135276i | ||||
\(736\) | 22.8605 | + | 24.0286i | 0.842648 | + | 0.885705i | ||||
\(737\) | 7.37954 | − | 7.37954i | 0.271829 | − | 0.271829i | ||||
\(738\) | 59.4587 | − | 18.9924i | 2.18870 | − | 0.699119i | ||||
\(739\) | −32.3401 | − | 32.3401i | −1.18965 | − | 1.18965i | −0.977164 | − | 0.212487i | \(-0.931844\pi\) |
−0.212487 | − | 0.977164i | \(-0.568156\pi\) | |||||||
\(740\) | −6.28089 | + | 3.75612i | −0.230890 | + | 0.138078i | ||||
\(741\) | −10.4557 | + | 10.4557i | −0.384100 | + | 0.384100i | ||||
\(742\) | −2.33894 | − | 1.20646i | −0.0858651 | − | 0.0442906i | ||||
\(743\) | −6.06842 | − | 6.06842i | −0.222629 | − | 0.222629i | 0.586976 | − | 0.809605i | \(-0.300318\pi\) |
−0.809605 | + | 0.586976i | \(0.800318\pi\) | |||||||
\(744\) | −21.0560 | + | 28.0887i | −0.771952 | + | 1.02978i | ||||
\(745\) | −6.23662 | + | 5.31741i | −0.228492 | + | 0.194815i | ||||
\(746\) | −7.77947 | − | 24.3549i | −0.284827 | − | 0.891696i | ||||
\(747\) | 9.42414 | 0.344811 | ||||||||
\(748\) | −2.89075 | + | 2.05657i | −0.105696 | + | 0.0751955i | ||||
\(749\) | 1.37898 | − | 1.37898i | 0.0503870 | − | 0.0503870i | ||||
\(750\) | −46.7723 | + | 3.32670i | −1.70788 | + | 0.121474i | ||||
\(751\) | 49.6431i | 1.81150i | 0.423810 | + | 0.905751i | \(0.360692\pi\) | ||||
−0.423810 | + | 0.905751i | \(0.639308\pi\) | |||||||
\(752\) | 22.3149 | − | 10.8155i | 0.813740 | − | 0.394400i | ||||
\(753\) | 27.1090 | + | 27.1090i | 0.987907 | + | 0.987907i | ||||
\(754\) | −0.413816 | + | 0.802256i | −0.0150703 | + | 0.0292164i | ||||
\(755\) | 3.00752 | − | 37.8029i | 0.109455 | − | 1.37579i | ||||
\(756\) | −0.448644 | + | 2.66078i | −0.0163170 | + | 0.0967718i | ||||
\(757\) | 9.18443i | 0.333814i | 0.985973 | + | 0.166907i | \(0.0533779\pi\) | ||||
−0.985973 | + | 0.166907i | \(0.946622\pi\) | |||||||
\(758\) | −4.95968 | − | 2.55828i | −0.180144 | − | 0.0929211i | ||||
\(759\) | − | 72.7759i | − | 2.64160i | ||||||
\(760\) | −20.1976 | + | 1.26896i | −0.732644 | + | 0.0460302i | ||||
\(761\) | − | 4.75310i | − | 0.172300i | −0.996282 | − | 0.0861499i | \(-0.972544\pi\) | ||
0.996282 | − | 0.0861499i | \(-0.0274564\pi\) | |||||||
\(762\) | −33.3774 | + | 64.7080i | −1.20914 | + | 2.34412i | ||||
\(763\) | 0.924267i | 0.0334607i | ||||||||
\(764\) | −16.2167 | − | 22.7945i | −0.586698 | − | 0.824675i | ||||
\(765\) | 3.56282 | + | 4.17872i | 0.128814 | + | 0.151082i | ||||
\(766\) | −14.4367 | − | 7.44668i | −0.521619 | − | 0.269060i | ||||