Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(77,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.br (of order \(12\), degree \(4\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 77.19 | ||
Character | \(\chi\) | \(=\) | 360.77 |
Dual form | 360.2.br.e.173.19 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.745090 | + | 1.20202i | −0.526858 | + | 0.849953i | ||||
\(3\) | −0.272060 | − | 1.71055i | −0.157074 | − | 0.987587i | ||||
\(4\) | −0.889682 | − | 1.79122i | −0.444841 | − | 0.895610i | ||||
\(5\) | −1.63914 | + | 1.52092i | −0.733048 | + | 0.680177i | ||||
\(6\) | 2.25882 | + | 0.947494i | 0.922158 | + | 0.386813i | ||||
\(7\) | 0.619613 | − | 2.31243i | 0.234192 | − | 0.874015i | −0.744320 | − | 0.667823i | \(-0.767226\pi\) |
0.978512 | − | 0.206192i | \(-0.0661070\pi\) | |||||||
\(8\) | 2.81597 | + | 0.265208i | 0.995594 | + | 0.0937652i | ||||
\(9\) | −2.85197 | + | 0.930744i | −0.950656 | + | 0.310248i | ||||
\(10\) | −0.606863 | − | 3.10350i | −0.191907 | − | 0.981413i | ||||
\(11\) | 0.997097 | + | 1.72702i | 0.300636 | + | 0.520717i | 0.976280 | − | 0.216511i | \(-0.0694677\pi\) |
−0.675644 | + | 0.737228i | \(0.736134\pi\) | |||||||
\(12\) | −2.82192 | + | 2.00916i | −0.814619 | + | 0.579996i | ||||
\(13\) | −5.40475 | + | 1.44820i | −1.49901 | + | 0.401658i | −0.912767 | − | 0.408480i | \(-0.866059\pi\) |
−0.586240 | + | 0.810137i | \(0.699392\pi\) | |||||||
\(14\) | 2.31790 | + | 2.46775i | 0.619486 | + | 0.659534i | ||||
\(15\) | 3.04756 | + | 2.39006i | 0.786877 | + | 0.617110i | ||||
\(16\) | −2.41693 | + | 3.18723i | −0.604233 | + | 0.796808i | ||||
\(17\) | 0.604276 | − | 0.604276i | 0.146558 | − | 0.146558i | −0.630020 | − | 0.776579i | \(-0.716953\pi\) |
0.776579 | + | 0.630020i | \(0.216953\pi\) | |||||||
\(18\) | 1.00620 | − | 4.12160i | 0.237164 | − | 0.971470i | ||||
\(19\) | −4.02840 | −0.924179 | −0.462089 | − | 0.886833i | \(-0.652900\pi\) | ||||
−0.462089 | + | 0.886833i | \(0.652900\pi\) | |||||||
\(20\) | 4.18262 | + | 1.58293i | 0.935263 | + | 0.353954i | ||||
\(21\) | −4.12409 | − | 0.430761i | −0.899951 | − | 0.0939997i | ||||
\(22\) | −2.81884 | − | 0.0882613i | −0.600978 | − | 0.0188174i | ||||
\(23\) | −3.91376 | + | 1.04869i | −0.816076 | + | 0.218667i | −0.642630 | − | 0.766177i | \(-0.722157\pi\) |
−0.173446 | + | 0.984843i | \(0.555490\pi\) | |||||||
\(24\) | −0.312459 | − | 4.88900i | −0.0637805 | − | 0.997964i | ||||
\(25\) | 0.373587 | − | 4.98602i | 0.0747174 | − | 0.997205i | ||||
\(26\) | 2.28627 | − | 7.57563i | 0.448374 | − | 1.48570i | ||||
\(27\) | 2.36799 | + | 4.62522i | 0.455720 | + | 0.890123i | ||||
\(28\) | −4.69332 | + | 0.947461i | −0.886954 | + | 0.179053i | ||||
\(29\) | −8.82838 | + | 5.09707i | −1.63939 | + | 0.946502i | −0.658346 | + | 0.752715i | \(0.728744\pi\) |
−0.981044 | + | 0.193787i | \(0.937923\pi\) | |||||||
\(30\) | −5.14359 | + | 1.88241i | −0.939087 | + | 0.343679i | ||||
\(31\) | −2.77208 | + | 4.80138i | −0.497880 | + | 0.862353i | −0.999997 | − | 0.00244662i | \(-0.999221\pi\) |
0.502117 | + | 0.864800i | \(0.332555\pi\) | |||||||
\(32\) | −2.03027 | − | 5.27996i | −0.358904 | − | 0.933374i | ||||
\(33\) | 2.68289 | − | 2.17544i | 0.467031 | − | 0.378695i | ||||
\(34\) | 0.276109 | + | 1.17659i | 0.0473523 | + | 0.201783i | ||||
\(35\) | 2.50139 | + | 4.73278i | 0.422812 | + | 0.799986i | ||||
\(36\) | 4.20451 | + | 4.28043i | 0.700752 | + | 0.713405i | ||||
\(37\) | 2.48226 | − | 2.48226i | 0.408080 | − | 0.408080i | −0.472988 | − | 0.881069i | \(-0.656825\pi\) |
0.881069 | + | 0.472988i | \(0.156825\pi\) | |||||||
\(38\) | 3.00152 | − | 4.84220i | 0.486911 | − | 0.785509i | ||||
\(39\) | 3.94763 | + | 8.85110i | 0.632127 | + | 1.41731i | ||||
\(40\) | −5.01914 | + | 3.84815i | −0.793595 | + | 0.608446i | ||||
\(41\) | −3.80175 | − | 2.19494i | −0.593734 | − | 0.342792i | 0.172839 | − | 0.984950i | \(-0.444706\pi\) |
−0.766572 | + | 0.642158i | \(0.778039\pi\) | |||||||
\(42\) | 3.59060 | − | 4.63627i | 0.554042 | − | 0.715392i | ||||
\(43\) | 1.44691 | − | 5.39993i | 0.220651 | − | 0.823482i | −0.763449 | − | 0.645868i | \(-0.776496\pi\) |
0.984100 | − | 0.177614i | \(-0.0568377\pi\) | |||||||
\(44\) | 2.20638 | − | 3.32252i | 0.332624 | − | 0.500889i | ||||
\(45\) | 3.25920 | − | 5.86325i | 0.485852 | − | 0.874041i | ||||
\(46\) | 1.65556 | − | 5.48577i | 0.244100 | − | 0.808833i | ||||
\(47\) | −2.77550 | − | 0.743694i | −0.404849 | − | 0.108479i | 0.0506474 | − | 0.998717i | \(-0.483872\pi\) |
−0.455496 | + | 0.890238i | \(0.650538\pi\) | |||||||
\(48\) | 6.10947 | + | 3.26717i | 0.881826 | + | 0.471575i | ||||
\(49\) | 1.09879 | + | 0.634384i | 0.156969 | + | 0.0906263i | ||||
\(50\) | 5.71492 | + | 4.16409i | 0.808212 | + | 0.588892i | ||||
\(51\) | −1.19804 | − | 0.869245i | −0.167760 | − | 0.121719i | ||||
\(52\) | 7.40255 | + | 8.39265i | 1.02655 | + | 1.16385i | ||||
\(53\) | 7.25551 | − | 7.25551i | 0.996621 | − | 0.996621i | −0.00337312 | − | 0.999994i | \(-0.501074\pi\) |
0.999994 | + | 0.00337312i | \(0.00107370\pi\) | |||||||
\(54\) | −7.32395 | − | 0.599841i | −0.996663 | − | 0.0816281i | ||||
\(55\) | −4.26105 | − | 1.31433i | −0.574560 | − | 0.177224i | ||||
\(56\) | 2.35808 | − | 6.34739i | 0.315112 | − | 0.848205i | ||||
\(57\) | 1.09597 | + | 6.89078i | 0.145164 | + | 0.912707i | ||||
\(58\) | 0.451184 | − | 14.4096i | 0.0592433 | − | 1.89208i | ||||
\(59\) | 6.31516 | + | 3.64606i | 0.822164 | + | 0.474677i | 0.851162 | − | 0.524903i | \(-0.175898\pi\) |
−0.0289979 | + | 0.999579i | \(0.509232\pi\) | |||||||
\(60\) | 1.56976 | − | 7.58524i | 0.202655 | − | 0.979250i | ||||
\(61\) | −2.41940 | + | 1.39684i | −0.309773 | + | 0.178847i | −0.646825 | − | 0.762639i | \(-0.723904\pi\) |
0.337052 | + | 0.941486i | \(0.390570\pi\) | |||||||
\(62\) | −3.70588 | − | 6.90954i | −0.470648 | − | 0.877512i | ||||
\(63\) | 0.385162 | + | 7.17166i | 0.0485258 | + | 0.903545i | ||||
\(64\) | 7.85933 | + | 1.49363i | 0.982416 | + | 0.186704i | ||||
\(65\) | 6.65656 | − | 10.5940i | 0.825645 | − | 1.31403i | ||||
\(66\) | 0.615916 | + | 4.84577i | 0.0758140 | + | 0.596473i | ||||
\(67\) | −3.96009 | − | 14.7793i | −0.483802 | − | 1.80557i | −0.585395 | − | 0.810749i | \(-0.699060\pi\) |
0.101592 | − | 0.994826i | \(-0.467606\pi\) | |||||||
\(68\) | −1.62000 | − | 0.544777i | −0.196454 | − | 0.0660639i | ||||
\(69\) | 2.85861 | + | 6.40938i | 0.344137 | + | 0.771599i | ||||
\(70\) | −7.55263 | − | 0.519643i | −0.902713 | − | 0.0621092i | ||||
\(71\) | 11.6541i | 1.38309i | 0.722336 | + | 0.691543i | \(0.243069\pi\) | ||||
−0.722336 | + | 0.691543i | \(0.756931\pi\) | |||||||
\(72\) | −8.27788 | + | 1.86458i | −0.975558 | + | 0.219743i | ||||
\(73\) | −6.00496 | + | 6.00496i | −0.702827 | + | 0.702827i | −0.965017 | − | 0.262189i | \(-0.915556\pi\) |
0.262189 | + | 0.965017i | \(0.415556\pi\) | |||||||
\(74\) | 1.13421 | + | 4.83321i | 0.131849 | + | 0.561850i | ||||
\(75\) | −8.63048 | + | 0.717457i | −0.996562 | + | 0.0828448i | ||||
\(76\) | 3.58400 | + | 7.21575i | 0.411112 | + | 0.827703i | ||||
\(77\) | 4.61143 | − | 1.23563i | 0.525521 | − | 0.140813i | ||||
\(78\) | −13.5805 | − | 1.84975i | −1.53769 | − | 0.209443i | ||||
\(79\) | 8.39613 | − | 4.84751i | 0.944638 | − | 0.545387i | 0.0532270 | − | 0.998582i | \(-0.483049\pi\) |
0.891411 | + | 0.453195i | \(0.149716\pi\) | |||||||
\(80\) | −0.885832 | − | 8.90030i | −0.0990390 | − | 0.995084i | ||||
\(81\) | 7.26743 | − | 5.30890i | 0.807492 | − | 0.589878i | ||||
\(82\) | 5.47100 | − | 2.93433i | 0.604171 | − | 0.324043i | ||||
\(83\) | 0.812522 | + | 0.217715i | 0.0891859 | + | 0.0238973i | 0.303136 | − | 0.952947i | \(-0.401966\pi\) |
−0.213950 | + | 0.976845i | \(0.568633\pi\) | |||||||
\(84\) | 2.89754 | + | 7.77039i | 0.316148 | + | 0.847820i | ||||
\(85\) | −0.0714382 | + | 1.90955i | −0.00774856 | + | 0.207120i | ||||
\(86\) | 5.41272 | + | 5.76264i | 0.583669 | + | 0.621401i | ||||
\(87\) | 11.1206 | + | 13.7147i | 1.19226 | + | 1.47037i | ||||
\(88\) | 2.34977 | + | 5.12768i | 0.250486 | + | 0.546612i | ||||
\(89\) | −5.88906 | −0.624239 | −0.312119 | − | 0.950043i | \(-0.601039\pi\) | ||||
−0.312119 | + | 0.950043i | \(0.601039\pi\) | |||||||
\(90\) | 4.61932 | + | 8.28625i | 0.486919 | + | 0.873447i | ||||
\(91\) | 13.3954i | 1.40422i | ||||||||
\(92\) | 5.36044 | + | 6.07741i | 0.558864 | + | 0.633613i | ||||
\(93\) | 8.96717 | + | 3.43552i | 0.929852 | + | 0.356246i | ||||
\(94\) | 2.96193 | − | 2.78208i | 0.305500 | − | 0.286950i | ||||
\(95\) | 6.60313 | − | 6.12689i | 0.677467 | − | 0.628605i | ||||
\(96\) | −8.47929 | + | 4.90934i | −0.865414 | + | 0.501058i | ||||
\(97\) | 0.0606013 | − | 0.226167i | 0.00615313 | − | 0.0229638i | −0.962781 | − | 0.270283i | \(-0.912883\pi\) |
0.968934 | + | 0.247319i | \(0.0795495\pi\) | |||||||
\(98\) | −1.58123 | + | 0.848084i | −0.159729 | + | 0.0856694i | ||||
\(99\) | −4.45110 | − | 3.99737i | −0.447353 | − | 0.401751i | ||||
\(100\) | −9.26343 | + | 3.76680i | −0.926343 | + | 0.376680i | ||||
\(101\) | −4.45436 | − | 7.71518i | −0.443225 | − | 0.767689i | 0.554701 | − | 0.832050i | \(-0.312833\pi\) |
−0.997927 | + | 0.0643607i | \(0.979499\pi\) | |||||||
\(102\) | 1.93750 | − | 0.792401i | 0.191841 | − | 0.0784594i | ||||
\(103\) | −0.161677 | − | 0.603387i | −0.0159305 | − | 0.0594535i | 0.957503 | − | 0.288423i | \(-0.0931310\pi\) |
−0.973434 | + | 0.228970i | \(0.926464\pi\) | |||||||
\(104\) | −15.6037 | + | 2.64469i | −1.53006 | + | 0.259334i | ||||
\(105\) | 7.41514 | − | 5.56635i | 0.723643 | − | 0.543220i | ||||
\(106\) | 3.31523 | + | 14.1272i | 0.322003 | + | 1.37216i | ||||
\(107\) | 6.95551 | + | 6.95551i | 0.672414 | + | 0.672414i | 0.958272 | − | 0.285858i | \(-0.0922785\pi\) |
−0.285858 | + | 0.958272i | \(0.592279\pi\) | |||||||
\(108\) | 6.17802 | − | 8.35656i | 0.594480 | − | 0.804110i | ||||
\(109\) | −6.33057 | −0.606358 | −0.303179 | − | 0.952934i | \(-0.598048\pi\) | ||||
−0.303179 | + | 0.952934i | \(0.598048\pi\) | |||||||
\(110\) | 4.75472 | − | 4.14256i | 0.453344 | − | 0.394977i | ||||
\(111\) | −4.92135 | − | 3.57070i | −0.467114 | − | 0.338916i | ||||
\(112\) | 5.87267 | + | 7.56382i | 0.554915 | + | 0.714714i | ||||
\(113\) | −9.32375 | + | 2.49829i | −0.877105 | + | 0.235020i | −0.669158 | − | 0.743121i | \(-0.733345\pi\) |
−0.207947 | + | 0.978140i | \(0.566678\pi\) | |||||||
\(114\) | −9.09942 | − | 3.81689i | −0.852239 | − | 0.357484i | ||||
\(115\) | 4.82024 | − | 7.67148i | 0.449490 | − | 0.715370i | ||||
\(116\) | 16.9844 | + | 11.2788i | 1.57696 | + | 1.04721i | ||||
\(117\) | 14.0663 | − | 9.16065i | 1.30043 | − | 0.846902i | ||||
\(118\) | −9.08799 | + | 4.87428i | −0.836617 | + | 0.448714i | ||||
\(119\) | −1.02293 | − | 1.77176i | −0.0937715 | − | 0.162417i | ||||
\(120\) | 7.94797 | + | 7.53856i | 0.725547 | + | 0.688173i | ||||
\(121\) | 3.51159 | − | 6.08226i | 0.319236 | − | 0.552933i | ||||
\(122\) | 0.123646 | − | 3.94893i | 0.0111944 | − | 0.357520i | ||||
\(123\) | −2.72026 | + | 7.10024i | −0.245277 | + | 0.640207i | ||||
\(124\) | 11.0666 | + | 0.693698i | 0.993809 | + | 0.0622959i | ||||
\(125\) | 6.97099 | + | 8.74101i | 0.623505 | + | 0.781820i | ||||
\(126\) | −8.90743 | − | 4.88056i | −0.793537 | − | 0.434795i | ||||
\(127\) | 4.53163 | + | 4.53163i | 0.402117 | + | 0.402117i | 0.878978 | − | 0.476862i | \(-0.158226\pi\) |
−0.476862 | + | 0.878978i | \(0.658226\pi\) | |||||||
\(128\) | −7.65128 | + | 8.33414i | −0.676284 | + | 0.736641i | ||||
\(129\) | −9.63050 | − | 1.00590i | −0.847918 | − | 0.0885649i | ||||
\(130\) | 7.77442 | + | 15.8948i | 0.681862 | + | 1.39406i | ||||
\(131\) | −4.35505 | + | 7.54318i | −0.380503 | + | 0.659050i | −0.991134 | − | 0.132865i | \(-0.957582\pi\) |
0.610631 | + | 0.791915i | \(0.290916\pi\) | |||||||
\(132\) | −6.28361 | − | 2.87020i | −0.546918 | − | 0.249818i | ||||
\(133\) | −2.49605 | + | 9.31538i | −0.216435 | + | 0.807746i | ||||
\(134\) | 20.7155 | + | 6.25179i | 1.78955 | + | 0.540072i | ||||
\(135\) | −10.9161 | − | 3.97987i | −0.939506 | − | 0.342532i | ||||
\(136\) | 1.86188 | − | 1.54136i | 0.159655 | − | 0.132171i | ||||
\(137\) | −12.3318 | − | 3.30430i | −1.05358 | − | 0.282305i | −0.309848 | − | 0.950786i | \(-0.600278\pi\) |
−0.743729 | + | 0.668481i | \(0.766945\pi\) | |||||||
\(138\) | −9.83410 | − | 1.33947i | −0.837134 | − | 0.114023i | ||||
\(139\) | 11.6209 | − | 20.1279i | 0.985669 | − | 1.70723i | 0.346744 | − | 0.937960i | \(-0.387287\pi\) |
0.638925 | − | 0.769269i | \(-0.279380\pi\) | |||||||
\(140\) | 6.25201 | − | 8.69120i | 0.528391 | − | 0.734541i | ||||
\(141\) | −0.517023 | + | 4.94997i | −0.0435412 | + | 0.416863i | ||||
\(142\) | −14.0084 | − | 8.68334i | −1.17556 | − | 0.728690i | ||||
\(143\) | −7.89013 | − | 7.89013i | −0.659806 | − | 0.659806i | ||||
\(144\) | 3.92651 | − | 11.3394i | 0.327210 | − | 0.944952i | ||||
\(145\) | 6.71874 | − | 21.7821i | 0.557961 | − | 1.80891i | ||||
\(146\) | −2.74382 | − | 11.6923i | −0.227080 | − | 0.967661i | ||||
\(147\) | 0.786211 | − | 2.05212i | 0.0648456 | − | 0.169256i | ||||
\(148\) | −6.65468 | − | 2.23785i | −0.547012 | − | 0.183950i | ||||
\(149\) | −20.0056 | − | 11.5502i | −1.63892 | − | 0.946233i | −0.981205 | − | 0.192969i | \(-0.938188\pi\) |
−0.657718 | − | 0.753264i | \(-0.728478\pi\) | |||||||
\(150\) | 5.56809 | − | 10.9085i | 0.454633 | − | 0.890679i | ||||
\(151\) | −2.63015 | − | 4.55555i | −0.214039 | − | 0.370726i | 0.738936 | − | 0.673775i | \(-0.235329\pi\) |
−0.952975 | + | 0.303050i | \(0.901995\pi\) | |||||||
\(152\) | −11.3438 | − | 1.06836i | −0.920107 | − | 0.0866558i | ||||
\(153\) | −1.16095 | + | 2.28580i | −0.0938571 | + | 0.184796i | ||||
\(154\) | −1.95068 | + | 6.46366i | −0.157191 | + | 0.520856i | ||||
\(155\) | −2.75869 | − | 12.0863i | −0.221583 | − | 0.970792i | ||||
\(156\) | 12.3421 | − | 14.9457i | 0.988161 | − | 1.19662i | ||||
\(157\) | −0.916646 | − | 3.42097i | −0.0731563 | − | 0.273023i | 0.919653 | − | 0.392733i | \(-0.128470\pi\) |
−0.992809 | + | 0.119710i | \(0.961804\pi\) | |||||||
\(158\) | −0.429093 | + | 13.7041i | −0.0341368 | + | 1.09024i | ||||
\(159\) | −14.3849 | − | 10.4370i | −1.14079 | − | 0.827707i | ||||
\(160\) | 11.3583 | + | 5.56674i | 0.897954 | + | 0.440089i | ||||
\(161\) | 9.70007i | 0.764472i | ||||||||
\(162\) | 0.966492 | + | 12.6912i | 0.0759348 | + | 0.997113i | ||||
\(163\) | −1.61548 | − | 1.61548i | −0.126534 | − | 0.126534i | 0.641004 | − | 0.767538i | \(-0.278518\pi\) |
−0.767538 | + | 0.641004i | \(0.778518\pi\) | |||||||
\(164\) | −0.549273 | + | 8.76257i | −0.0428910 | + | 0.684241i | ||||
\(165\) | −1.08897 | + | 7.64633i | −0.0847762 | + | 0.595266i | ||||
\(166\) | −0.867098 | + | 0.814447i | −0.0672999 | + | 0.0632133i | ||||
\(167\) | −2.23168 | − | 8.32875i | −0.172693 | − | 0.644498i | −0.996933 | − | 0.0782579i | \(-0.975064\pi\) |
0.824240 | − | 0.566240i | \(-0.191602\pi\) | |||||||
\(168\) | −11.4991 | − | 2.30675i | −0.887172 | − | 0.177970i | ||||
\(169\) | 15.8557 | − | 9.15429i | 1.21967 | − | 0.704176i | ||||
\(170\) | −2.24208 | − | 1.50866i | −0.171960 | − | 0.115709i | ||||
\(171\) | 11.4889 | − | 3.74941i | 0.878576 | − | 0.286725i | ||||
\(172\) | −10.9597 | + | 2.21249i | −0.835673 | + | 0.168701i | ||||
\(173\) | 5.40038 | + | 1.44703i | 0.410583 | + | 0.110015i | 0.458198 | − | 0.888850i | \(-0.348495\pi\) |
−0.0476143 | + | 0.998866i | \(0.515162\pi\) | |||||||
\(174\) | −24.7712 | + | 3.14851i | −1.87790 | + | 0.238688i | ||||
\(175\) | −11.2983 | − | 3.95330i | −0.854073 | − | 0.298841i | ||||
\(176\) | −7.91434 | − | 0.996119i | −0.596566 | − | 0.0750853i | ||||
\(177\) | 4.51867 | − | 11.7944i | 0.339644 | − | 0.886518i | ||||
\(178\) | 4.38788 | − | 7.07874i | 0.328885 | − | 0.530574i | ||||
\(179\) | − | 4.95160i | − | 0.370100i | −0.982729 | − | 0.185050i | \(-0.940755\pi\) | ||
0.982729 | − | 0.185050i | \(-0.0592447\pi\) | |||||||
\(180\) | −13.4020 | − | 0.621509i | −0.998926 | − | 0.0463246i | ||||
\(181\) | 14.0592i | 1.04501i | 0.852636 | + | 0.522506i | \(0.175003\pi\) | ||||
−0.852636 | + | 0.522506i | \(0.824997\pi\) | |||||||
\(182\) | −16.1015 | − | 9.98078i | −1.19352 | − | 0.739824i | ||||
\(183\) | 3.04759 | + | 3.75849i | 0.225285 | + | 0.277835i | ||||
\(184\) | −11.2991 | + | 1.91511i | −0.832984 | + | 0.141184i | ||||
\(185\) | −0.293456 | + | 7.84410i | −0.0215753 | + | 0.576709i | ||||
\(186\) | −10.8109 | + | 8.21891i | −0.792693 | + | 0.602640i | ||||
\(187\) | 1.64612 | + | 0.441076i | 0.120376 | + | 0.0322547i | ||||
\(188\) | 1.13720 | + | 5.63319i | 0.0829386 | + | 0.410842i | ||||
\(189\) | 12.1627 | − | 2.60996i | 0.884707 | − | 0.189847i | ||||
\(190\) | 2.44469 | + | 12.5021i | 0.177356 | + | 0.907001i | ||||
\(191\) | 3.82788 | − | 2.21003i | 0.276976 | − | 0.159912i | −0.355078 | − | 0.934837i | \(-0.615546\pi\) |
0.632053 | + | 0.774925i | \(0.282212\pi\) | |||||||
\(192\) | 0.416729 | − | 13.8501i | 0.0300748 | − | 0.999548i | ||||
\(193\) | 0.120749 | + | 0.450643i | 0.00869173 | + | 0.0324380i | 0.970136 | − | 0.242564i | \(-0.0779883\pi\) |
−0.961444 | + | 0.275002i | \(0.911322\pi\) | |||||||
\(194\) | 0.226703 | + | 0.241358i | 0.0162763 | + | 0.0173285i | ||||
\(195\) | −19.9326 | − | 8.50419i | −1.42740 | − | 0.608997i | ||||
\(196\) | 0.158751 | − | 2.53256i | 0.0113394 | − | 0.180897i | ||||
\(197\) | −12.2570 | − | 12.2570i | −0.873274 | − | 0.873274i | 0.119554 | − | 0.992828i | \(-0.461854\pi\) |
−0.992828 | + | 0.119554i | \(0.961854\pi\) | |||||||
\(198\) | 8.12137 | − | 2.37190i | 0.577161 | − | 0.168563i | ||||
\(199\) | 5.24371i | 0.371716i | 0.982577 | + | 0.185858i | \(0.0595065\pi\) | ||||
−0.982577 | + | 0.185858i | \(0.940493\pi\) | |||||||
\(200\) | 2.37434 | − | 13.9414i | 0.167891 | − | 0.985806i | ||||
\(201\) | −24.2033 | + | 10.7948i | −1.70717 | + | 0.761405i | ||||
\(202\) | 12.5927 | + | 0.394292i | 0.886016 | + | 0.0277423i | ||||
\(203\) | 6.31642 | + | 23.5732i | 0.443326 | + | 1.65451i | ||||
\(204\) | −0.491131 | + | 2.91931i | −0.0343860 | + | 0.204393i | ||||
\(205\) | 9.56995 | − | 2.18434i | 0.668394 | − | 0.152561i | ||||
\(206\) | 0.845744 | + | 0.255239i | 0.0589258 | + | 0.0177834i | ||||
\(207\) | 10.1859 | − | 6.63354i | 0.707966 | − | 0.461063i | ||||
\(208\) | 8.44717 | − | 20.7264i | 0.585706 | − | 1.43712i | ||||
\(209\) | −4.01671 | − | 6.95714i | −0.277841 | − | 0.481235i | ||||
\(210\) | 1.16589 | + | 13.0605i | 0.0804542 | + | 0.901263i | ||||
\(211\) | 21.6908 | + | 12.5232i | 1.49326 | + | 0.862132i | 0.999970 | − | 0.00773441i | \(-0.00246196\pi\) |
0.493287 | + | 0.869867i | \(0.335795\pi\) | |||||||
\(212\) | −19.4513 | − | 6.54111i | −1.33592 | − | 0.449246i | ||||
\(213\) | 19.9349 | − | 3.17061i | 1.36592 | − | 0.217246i | ||||
\(214\) | −13.5431 | + | 3.17815i | −0.925787 | + | 0.217254i | ||||
\(215\) | 5.84119 | + | 11.0519i | 0.398366 | + | 0.753733i | ||||
\(216\) | 5.44154 | + | 13.6525i | 0.370250 | + | 0.928932i | ||||
\(217\) | 9.38522 | + | 9.38522i | 0.637110 | + | 0.637110i | ||||
\(218\) | 4.71684 | − | 7.60944i | 0.319465 | − | 0.515376i | ||||
\(219\) | 11.9055 | + | 8.63808i | 0.804499 | + | 0.583707i | ||||
\(220\) | 1.43673 | + | 8.80182i | 0.0968641 | + | 0.593419i | ||||
\(221\) | −2.39085 | + | 4.14107i | −0.160826 | + | 0.278558i | ||||
\(222\) | 7.95889 | − | 3.25504i | 0.534166 | − | 0.218464i | ||||
\(223\) | −11.7031 | − | 3.13584i | −0.783699 | − | 0.209991i | −0.155284 | − | 0.987870i | \(-0.549629\pi\) |
−0.628415 | + | 0.777878i | \(0.716296\pi\) | |||||||
\(224\) | −13.4675 | + | 1.42331i | −0.899835 | + | 0.0950991i | ||||
\(225\) | 3.57525 | + | 14.5677i | 0.238350 | + | 0.971179i | ||||
\(226\) | 3.94405 | − | 13.0687i | 0.262354 | − | 0.869320i | ||||
\(227\) | −3.68296 | + | 13.7450i | −0.244447 | + | 0.912287i | 0.729214 | + | 0.684286i | \(0.239886\pi\) |
−0.973661 | + | 0.228002i | \(0.926781\pi\) | |||||||
\(228\) | 11.3678 | − | 8.09372i | 0.752854 | − | 0.536020i | ||||
\(229\) | −10.7262 | + | 18.5784i | −0.708810 | + | 1.22769i | 0.256489 | + | 0.966547i | \(0.417434\pi\) |
−0.965299 | + | 0.261148i | \(0.915899\pi\) | |||||||
\(230\) | 5.62973 | + | 11.5100i | 0.371213 | + | 0.758944i | ||||
\(231\) | −3.36819 | − | 7.55191i | −0.221610 | − | 0.496879i | ||||
\(232\) | −26.2122 | + | 12.0118i | −1.72092 | + | 0.788614i | ||||
\(233\) | 5.25588 | + | 5.25588i | 0.344324 | + | 0.344324i | 0.857990 | − | 0.513666i | \(-0.171713\pi\) |
−0.513666 | + | 0.857990i | \(0.671713\pi\) | |||||||
\(234\) | 0.530611 | + | 23.7334i | 0.0346871 | + | 1.55150i | ||||
\(235\) | 5.68055 | − | 3.00231i | 0.370558 | − | 0.195849i | ||||
\(236\) | 0.912408 | − | 14.5557i | 0.0593927 | − | 0.947494i | ||||
\(237\) | −10.5762 | − | 13.0432i | −0.686995 | − | 0.847246i | ||||
\(238\) | 2.89185 | + | 0.0905476i | 0.187451 | + | 0.00586933i | ||||
\(239\) | 6.26928 | − | 10.8587i | 0.405526 | − | 0.702392i | −0.588856 | − | 0.808238i | \(-0.700422\pi\) |
0.994383 | + | 0.105846i | \(0.0337550\pi\) | |||||||
\(240\) | −14.9834 | + | 3.93667i | −0.967175 | + | 0.254111i | ||||
\(241\) | −0.851238 | − | 1.47439i | −0.0548331 | − | 0.0949736i | 0.837306 | − | 0.546735i | \(-0.184129\pi\) |
−0.892139 | + | 0.451761i | \(0.850796\pi\) | |||||||
\(242\) | 4.69452 | + | 8.75282i | 0.301775 | + | 0.562653i | ||||
\(243\) | −11.0583 | − | 10.9870i | −0.709392 | − | 0.704815i | ||||
\(244\) | 4.65455 | + | 3.09094i | 0.297977 | + | 0.197877i | ||||
\(245\) | −2.76592 | + | 0.631321i | −0.176708 | + | 0.0403336i | ||||
\(246\) | −6.50776 | − | 8.56011i | −0.414920 | − | 0.545772i | ||||
\(247\) | 21.7725 | − | 5.83392i | 1.38535 | − | 0.371204i | ||||
\(248\) | −9.07944 | + | 12.7853i | −0.576545 | + | 0.811870i | ||||
\(249\) | 0.151357 | − | 1.44909i | 0.00959188 | − | 0.0918324i | ||||
\(250\) | −15.7008 | + | 1.86640i | −0.993009 | + | 0.118042i | ||||
\(251\) | −8.44541 | −0.533070 | −0.266535 | − | 0.963825i | \(-0.585879\pi\) | ||||
−0.266535 | + | 0.963825i | \(0.585879\pi\) | |||||||
\(252\) | 12.5033 | − | 7.07041i | 0.787637 | − | 0.445394i | ||||
\(253\) | −5.71351 | − | 5.71351i | −0.359205 | − | 0.359205i | ||||
\(254\) | −8.82355 | + | 2.07061i | −0.553639 | + | 0.129922i | ||||
\(255\) | 3.28582 | − | 0.397313i | 0.205766 | − | 0.0248807i | ||||
\(256\) | −4.31688 | − | 15.4066i | −0.269805 | − | 0.962915i | ||||
\(257\) | 7.73049 | + | 28.8506i | 0.482215 | + | 1.79965i | 0.592288 | + | 0.805727i | \(0.298225\pi\) |
−0.110073 | + | 0.993924i | \(0.535108\pi\) | |||||||
\(258\) | 8.38470 | − | 10.8265i | 0.522009 | − | 0.674030i | ||||
\(259\) | −4.20200 | − | 7.27807i | −0.261099 | − | 0.452237i | ||||
\(260\) | −24.8984 | − | 2.49807i | −1.54413 | − | 0.154923i | ||||
\(261\) | 20.4342 | − | 22.7536i | 1.26484 | − | 1.40842i | ||||
\(262\) | −5.82211 | − | 10.8552i | −0.359691 | − | 0.670636i | ||||
\(263\) | 1.67474 | − | 6.25022i | 0.103269 | − | 0.385405i | −0.894874 | − | 0.446319i | \(-0.852735\pi\) |
0.998143 | + | 0.0609136i | \(0.0194014\pi\) | |||||||
\(264\) | 8.13187 | − | 5.41444i | 0.500482 | − | 0.333236i | ||||
\(265\) | −0.857756 | + | 22.9279i | −0.0526915 | + | 1.40845i | ||||
\(266\) | −9.33745 | − | 9.94108i | −0.572516 | − | 0.609527i | ||||
\(267\) | 1.60218 | + | 10.0735i | 0.0980515 | + | 0.616490i | ||||
\(268\) | −22.9497 | + | 20.2422i | −1.40187 | + | 1.23649i | ||||
\(269\) | − | 10.1802i | − | 0.620698i | −0.950623 | − | 0.310349i | \(-0.899554\pi\) | ||
0.950623 | − | 0.310349i | \(-0.100446\pi\) | |||||||
\(270\) | 12.9173 | − | 10.1559i | 0.786123 | − | 0.618070i | ||||
\(271\) | 20.6993 | 1.25739 | 0.628696 | − | 0.777651i | \(-0.283589\pi\) | ||||
0.628696 | + | 0.777651i | \(0.283589\pi\) | |||||||
\(272\) | 0.465473 | + | 3.38646i | 0.0282234 | + | 0.205334i | ||||
\(273\) | 22.9135 | − | 3.64435i | 1.38679 | − | 0.220566i | ||||
\(274\) | 13.1601 | − | 12.3610i | 0.795032 | − | 0.746756i | ||||
\(275\) | 8.98348 | − | 4.32636i | 0.541724 | − | 0.260889i | ||||
\(276\) | 8.93735 | − | 10.8227i | 0.537965 | − | 0.651451i | ||||
\(277\) | 4.28913 | + | 1.14927i | 0.257709 | + | 0.0690529i | 0.385360 | − | 0.922766i | \(-0.374077\pi\) |
−0.127651 | + | 0.991819i | \(0.540744\pi\) | |||||||
\(278\) | 15.5355 | + | 28.9656i | 0.931757 | + | 1.73724i | ||||
\(279\) | 3.43702 | − | 16.2735i | 0.205769 | − | 0.974267i | ||||
\(280\) | 5.78865 | + | 13.9907i | 0.345938 | + | 0.836107i | ||||
\(281\) | −19.8493 | + | 11.4600i | −1.18411 | + | 0.683647i | −0.956962 | − | 0.290213i | \(-0.906274\pi\) |
−0.227150 | + | 0.973860i | \(0.572941\pi\) | |||||||
\(282\) | −5.56471 | − | 4.30964i | −0.331374 | − | 0.256635i | ||||
\(283\) | −27.3752 | + | 7.33517i | −1.62729 | + | 0.436031i | −0.953131 | − | 0.302557i | \(-0.902160\pi\) |
−0.674158 | + | 0.738588i | \(0.735493\pi\) | |||||||
\(284\) | 20.8750 | − | 10.3684i | 1.23870 | − | 0.615253i | ||||
\(285\) | −12.2768 | − | 9.62811i | −0.727215 | − | 0.570320i | ||||
\(286\) | 15.3629 | − | 3.60520i | 0.908428 | − | 0.213180i | ||||
\(287\) | −7.43125 | + | 7.43125i | −0.438653 | + | 0.438653i | ||||
\(288\) | 10.7046 | + | 13.1686i | 0.630772 | + | 0.775968i | ||||
\(289\) | 16.2697i | 0.957041i | ||||||||
\(290\) | 21.1764 | + | 24.3057i | 1.24352 | + | 1.42728i | ||||
\(291\) | −0.403357 | − | 0.0421306i | −0.0236452 | − | 0.00246974i | ||||
\(292\) | 16.0987 | + | 5.41370i | 0.942105 | + | 0.316813i | ||||
\(293\) | 1.00317 | + | 3.74390i | 0.0586061 | + | 0.218721i | 0.989018 | − | 0.147794i | \(-0.0472174\pi\) |
−0.930412 | + | 0.366515i | \(0.880551\pi\) | |||||||
\(294\) | 1.88088 | + | 2.47405i | 0.109695 | + | 0.144290i | ||||
\(295\) | −15.8968 | + | 3.62846i | −0.925550 | + | 0.211257i | ||||
\(296\) | 7.64826 | − | 6.33164i | 0.444546 | − | 0.368019i | ||||
\(297\) | −5.62674 | + | 8.70136i | −0.326496 | + | 0.504904i | ||||
\(298\) | 28.7895 | − | 15.4411i | 1.66773 | − | 0.894478i | ||||
\(299\) | 19.6342 | − | 11.3358i | 1.13547 | − | 0.655566i | ||||
\(300\) | 8.96351 | + | 14.8208i | 0.517508 | + | 0.855678i | ||||
\(301\) | −11.5904 | − | 6.69173i | −0.668061 | − | 0.385705i | ||||
\(302\) | 7.43555 | + | 0.232816i | 0.427868 | + | 0.0133971i | ||||
\(303\) | −11.9853 | + | 9.71840i | −0.688540 | + | 0.558307i | ||||
\(304\) | 9.73637 | − | 12.8394i | 0.558419 | − | 0.736393i | ||||
\(305\) | 1.84126 | − | 5.96935i | 0.105430 | − | 0.341804i | ||||
\(306\) | −1.88256 | − | 3.09860i | −0.107619 | − | 0.177135i | ||||
\(307\) | −16.8216 | + | 16.8216i | −0.960062 | + | 0.960062i | −0.999233 | − | 0.0391708i | \(-0.987528\pi\) |
0.0391708 | + | 0.999233i | \(0.487528\pi\) | |||||||
\(308\) | −6.31598 | − | 7.16076i | −0.359887 | − | 0.408022i | ||||
\(309\) | −0.988138 | + | 0.440714i | −0.0562132 | + | 0.0250714i | ||||
\(310\) | 16.5834 | + | 5.68936i | 0.941871 | + | 0.323134i | ||||
\(311\) | −0.0708386 | − | 0.0408987i | −0.00401689 | − | 0.00231915i | 0.497990 | − | 0.867183i | \(-0.334072\pi\) |
−0.502007 | + | 0.864863i | \(0.667405\pi\) | |||||||
\(312\) | 8.76901 | + | 25.9713i | 0.496447 | + | 1.47034i | ||||
\(313\) | −11.2287 | − | 3.00872i | −0.634684 | − | 0.170063i | −0.0728896 | − | 0.997340i | \(-0.523222\pi\) |
−0.561794 | + | 0.827277i | \(0.689889\pi\) | |||||||
\(314\) | 4.79504 | + | 1.44711i | 0.270600 | + | 0.0816650i | ||||
\(315\) | −11.5389 | − | 11.1696i | −0.650142 | − | 0.629335i | ||||
\(316\) | −16.1528 | − | 10.7266i | −0.908668 | − | 0.603417i | ||||
\(317\) | −4.60147 | + | 17.1729i | −0.258444 | + | 0.964528i | 0.707697 | + | 0.706516i | \(0.249734\pi\) |
−0.966142 | + | 0.258012i | \(0.916933\pi\) | |||||||
\(318\) | 23.2634 | − | 9.51432i | 1.30455 | − | 0.533537i | ||||
\(319\) | −17.6055 | − | 10.1645i | −0.985720 | − | 0.569105i | ||||
\(320\) | −15.1543 | + | 9.50515i | −0.847150 | + | 0.531354i | ||||
\(321\) | 10.0054 | − | 13.7901i | 0.558449 | − | 0.769686i | ||||
\(322\) | −11.6596 | − | 7.22742i | −0.649766 | − | 0.402768i | ||||
\(323\) | −2.43426 | + | 2.43426i | −0.135446 | + | 0.135446i | ||||
\(324\) | −15.9751 | − | 8.29433i | −0.887506 | − | 0.460796i | ||||
\(325\) | 5.20160 | + | 27.4892i | 0.288533 | + | 1.52483i | ||||
\(326\) | 3.14550 | − | 0.738152i | 0.174213 | − | 0.0408825i | ||||
\(327\) | 1.72229 | + | 10.8288i | 0.0952430 | + | 0.598831i | ||||
\(328\) | −10.1235 | − | 7.18913i | −0.558976 | − | 0.396954i | ||||
\(329\) | −3.43947 | + | 5.95734i | −0.189624 | + | 0.328439i | ||||
\(330\) | −8.37962 | − | 7.00616i | −0.461283 | − | 0.385676i | ||||
\(331\) | 2.46445 | − | 1.42285i | 0.135458 | − | 0.0782068i | −0.430739 | − | 0.902476i | \(-0.641747\pi\) |
0.566198 | + | 0.824270i | \(0.308414\pi\) | |||||||
\(332\) | −0.332912 | − | 1.64910i | −0.0182709 | − | 0.0905062i | ||||
\(333\) | −4.76897 | + | 9.38966i | −0.261338 | + | 0.514550i | ||||
\(334\) | 11.6741 | + | 3.52315i | 0.638778 | + | 0.192778i | ||||
\(335\) | 28.9693 | + | 18.2024i | 1.58276 | + | 0.994501i | ||||
\(336\) | 11.3406 | − | 12.1033i | 0.618680 | − | 0.660290i | ||||
\(337\) | −14.5394 | + | 3.89581i | −0.792010 | + | 0.212219i | −0.632073 | − | 0.774909i | \(-0.717796\pi\) |
−0.159937 | + | 0.987127i | \(0.551129\pi\) | |||||||
\(338\) | −0.810322 | + | 25.8796i | −0.0440757 | + | 1.40766i | ||||
\(339\) | 6.81007 | + | 15.2691i | 0.369872 | + | 0.829302i | ||||
\(340\) | 3.48398 | − | 1.57093i | 0.188945 | − | 0.0851958i | ||||
\(341\) | −11.0561 | −0.598722 | ||||||||
\(342\) | −4.05339 | + | 16.6034i | −0.219182 | + | 0.897811i | ||||
\(343\) | 13.9975 | − | 13.9975i | 0.755793 | − | 0.755793i | ||||
\(344\) | 5.50655 | − | 14.8223i | 0.296893 | − | 0.799164i | ||||
\(345\) | −14.4339 | − | 6.15817i | −0.777093 | − | 0.331545i | ||||
\(346\) | −5.76312 | + | 5.41318i | −0.309827 | + | 0.291014i | ||||
\(347\) | 13.2025 | − | 3.53759i | 0.708745 | − | 0.189908i | 0.113601 | − | 0.993526i | \(-0.463762\pi\) |
0.595144 | + | 0.803619i | \(0.297095\pi\) | |||||||
\(348\) | 14.6722 | − | 32.1212i | 0.786511 | − | 1.72188i | ||||
\(349\) | 11.5741 | + | 20.0469i | 0.619547 | + | 1.07309i | 0.989569 | + | 0.144063i | \(0.0460168\pi\) |
−0.370022 | + | 0.929023i | \(0.620650\pi\) | |||||||
\(350\) | 13.1702 | − | 10.6352i | 0.703976 | − | 0.568476i | ||||
\(351\) | −19.4966 | − | 21.5688i | −1.04065 | − | 1.15126i | ||||
\(352\) | 7.09424 | − | 8.77096i | 0.378124 | − | 0.467494i | ||||
\(353\) | −6.63337 | + | 24.7561i | −0.353059 | + | 1.31763i | 0.529851 | + | 0.848090i | \(0.322248\pi\) |
−0.882910 | + | 0.469542i | \(0.844419\pi\) | |||||||
\(354\) | 10.8102 | + | 14.2194i | 0.574555 | + | 0.755751i | ||||
\(355\) | −17.7250 | − | 19.1027i | −0.940743 | − | 1.01387i | ||||
\(356\) | 5.23939 | + | 10.5486i | 0.277687 | + | 0.559074i | ||||
\(357\) | −2.75239 | + | 2.23179i | −0.145672 | + | 0.118119i | ||||
\(358\) | 5.95190 | + | 3.68939i | 0.314568 | + | 0.194990i | ||||
\(359\) | −17.4642 | −0.921725 | −0.460863 | − | 0.887472i | \(-0.652460\pi\) | ||||
−0.460863 | + | 0.887472i | \(0.652460\pi\) | |||||||
\(360\) | 10.7328 | − | 15.6463i | 0.565666 | − | 0.824634i | ||||
\(361\) | −2.77199 | −0.145894 | ||||||||
\(362\) | −16.8994 | − | 10.4754i | −0.888211 | − | 0.550573i | ||||
\(363\) | −11.3594 | − | 4.35202i | −0.596213 | − | 0.228422i | ||||
\(364\) | 23.9941 | − | 11.9176i | 1.25763 | − | 0.624654i | ||||
\(365\) | 0.709914 | − | 18.9761i | 0.0371586 | − | 0.993253i | ||||
\(366\) | −6.78849 | + | 0.862843i | −0.354840 | + | 0.0451015i | ||||
\(367\) | 0.547957 | − | 2.04500i | 0.0286031 | − | 0.106748i | −0.950148 | − | 0.311798i | \(-0.899069\pi\) |
0.978752 | + | 0.205049i | \(0.0657355\pi\) | |||||||
\(368\) | 6.11688 | − | 15.0087i | 0.318865 | − | 0.782381i | ||||
\(369\) | 12.8854 | + | 2.72144i | 0.670787 | + | 0.141673i | ||||
\(370\) | −9.21007 | − | 6.19730i | −0.478809 | − | 0.322182i | ||||
\(371\) | −12.2822 | − | 21.2734i | −0.637661 | − | 1.10446i | ||||
\(372\) | −1.82417 | − | 19.1187i | −0.0945787 | − | 0.991258i | ||||
\(373\) | −12.0796 | + | 3.23671i | −0.625457 | + | 0.167591i | −0.557607 | − | 0.830105i | \(-0.688281\pi\) |
−0.0678497 | + | 0.997696i | \(0.521614\pi\) | |||||||
\(374\) | −1.75669 | + | 1.65002i | −0.0908362 | + | 0.0853205i | ||||
\(375\) | 13.0554 | − | 14.3023i | 0.674179 | − | 0.738568i | ||||
\(376\) | −7.61849 | − | 2.83030i | −0.392894 | − | 0.145962i | ||||
\(377\) | 40.3336 | − | 40.3336i | 2.07729 | − | 2.07729i | ||||
\(378\) | −5.92510 | + | 16.5644i | −0.304754 | + | 0.851981i | ||||
\(379\) | 16.5488 | 0.850056 | 0.425028 | − | 0.905180i | \(-0.360264\pi\) | ||||
0.425028 | + | 0.905180i | \(0.360264\pi\) | |||||||
\(380\) | −16.8493 | − | 6.37667i | −0.864350 | − | 0.327116i | ||||
\(381\) | 6.51870 | − | 8.98445i | 0.333963 | − | 0.460287i | ||||
\(382\) | −0.195628 | + | 6.24784i | −0.0100092 | + | 0.319667i | ||||
\(383\) | 0.811476 | − | 0.217434i | 0.0414645 | − | 0.0111104i | −0.238027 | − | 0.971258i | \(-0.576501\pi\) |
0.279492 | + | 0.960148i | \(0.409834\pi\) | |||||||
\(384\) | 16.3376 | + | 10.8205i | 0.833724 | + | 0.552182i | ||||
\(385\) | −5.67950 | + | 9.03900i | −0.289454 | + | 0.460670i | ||||
\(386\) | −0.631649 | − | 0.190627i | −0.0321501 | − | 0.00970265i | ||||
\(387\) | 0.899422 | + | 16.7471i | 0.0457202 | + | 0.851304i | ||||
\(388\) | −0.459031 | + | 0.0926666i | −0.0233037 | + | 0.00470443i | ||||
\(389\) | −7.91861 | + | 4.57181i | −0.401489 | + | 0.231800i | −0.687126 | − | 0.726538i | \(-0.741128\pi\) |
0.285637 | + | 0.958338i | \(0.407795\pi\) | |||||||
\(390\) | 25.0737 | − | 17.6229i | 1.26966 | − | 0.892369i | ||||
\(391\) | −1.73129 | + | 2.99869i | −0.0875553 | + | 0.151650i | ||||
\(392\) | 2.92590 | + | 2.07781i | 0.147780 | + | 0.104945i | ||||
\(393\) | 14.0878 | + | 5.39735i | 0.710637 | + | 0.272260i | ||||
\(394\) | 23.8656 | − | 5.60053i | 1.20233 | − | 0.282151i | ||||
\(395\) | −6.38978 | + | 20.7156i | −0.321505 | + | 1.04232i | ||||
\(396\) | −3.20010 | + | 11.5293i | −0.160811 | + | 0.579369i | ||||
\(397\) | 24.2672 | − | 24.2672i | 1.21794 | − | 1.21794i | 0.249586 | − | 0.968353i | \(-0.419706\pi\) |
0.968353 | − | 0.249586i | \(-0.0802944\pi\) | |||||||
\(398\) | −6.30301 | − | 3.90703i | −0.315942 | − | 0.195842i | ||||
\(399\) | 16.6135 | + | 1.73528i | 0.831715 | + | 0.0868725i | ||||
\(400\) | 14.9887 | + | 13.2416i | 0.749434 | + | 0.662079i | ||||
\(401\) | 6.19081 | + | 3.57427i | 0.309154 | + | 0.178490i | 0.646548 | − | 0.762873i | \(-0.276212\pi\) |
−0.337394 | + | 0.941364i | \(0.609545\pi\) | |||||||
\(402\) | 5.05814 | − | 37.1358i | 0.252277 | − | 1.85217i | ||||
\(403\) | 8.02903 | − | 29.9648i | 0.399955 | − | 1.49265i | ||||
\(404\) | −9.85661 | + | 14.8428i | −0.490385 | + | 0.738456i | ||||
\(405\) | −3.83794 | + | 19.7553i | −0.190709 | + | 0.981647i | ||||
\(406\) | −33.0416 | − | 9.97172i | −1.63983 | − | 0.494888i | ||||
\(407\) | 6.76196 | + | 1.81186i | 0.335178 | + | 0.0898107i | ||||
\(408\) | −3.14312 | − | 2.76550i | −0.155608 | − | 0.136912i | ||||
\(409\) | 21.8472 | + | 12.6135i | 1.08028 | + | 0.623698i | 0.930971 | − | 0.365093i | \(-0.118963\pi\) |
0.149306 | + | 0.988791i | \(0.452296\pi\) | |||||||
\(410\) | −4.50486 | + | 13.1308i | −0.222479 | + | 0.648482i | ||||
\(411\) | −2.29718 | + | 21.9931i | −0.113312 | + | 1.08484i | ||||
\(412\) | −0.936957 | + | 0.826422i | −0.0461606 | + | 0.0407149i | ||||
\(413\) | 12.3442 | − | 12.3442i | 0.607418 | − | 0.607418i | ||||
\(414\) | 0.384233 | + | 17.1861i | 0.0188840 | + | 0.844653i | ||||
\(415\) | −1.66297 | + | 0.878918i | −0.0816319 | + | 0.0431444i | ||||
\(416\) | 18.6195 | + | 25.5966i | 0.912897 | + | 1.25498i | ||||
\(417\) | −37.5914 | − | 14.4021i | −1.84086 | − | 0.705273i | ||||
\(418\) | 11.3554 | + | 0.355552i | 0.555411 | + | 0.0173906i | ||||
\(419\) | −19.9555 | − | 11.5213i | −0.974891 | − | 0.562854i | −0.0741673 | − | 0.997246i | \(-0.523630\pi\) |
−0.900724 | + | 0.434392i | \(0.856963\pi\) | |||||||
\(420\) | −16.5677 | − | 8.32986i | −0.808419 | − | 0.406455i | ||||
\(421\) | 27.8864 | − | 16.1002i | 1.35910 | − | 0.784676i | 0.369596 | − | 0.929192i | \(-0.379496\pi\) |
0.989502 | + | 0.144517i | \(0.0461627\pi\) | |||||||
\(422\) | −31.2147 | + | 16.7418i | −1.51951 | + | 0.814977i | ||||
\(423\) | 8.60783 | − | 0.462293i | 0.418527 | − | 0.0224774i | ||||
\(424\) | 22.3555 | − | 18.5071i | 1.08568 | − | 0.898782i | ||||
\(425\) | −2.78718 | − | 3.23868i | −0.135198 | − | 0.157099i | ||||
\(426\) | −11.0422 | + | 26.3244i | −0.534995 | + | 1.27542i | ||||
\(427\) | 1.73100 | + | 6.46019i | 0.0837691 | + | 0.312631i | ||||
\(428\) | 6.27065 | − | 18.6470i | 0.303103 | − | 0.901338i | ||||
\(429\) | −11.3499 | + | 15.6431i | −0.547977 | + | 0.755254i | ||||
\(430\) | −17.6368 | − | 1.21346i | −0.850520 | − | 0.0585182i | ||||
\(431\) | − | 25.0896i | − | 1.20852i | −0.796785 | − | 0.604262i | \(-0.793468\pi\) | ||
0.796785 | − | 0.604262i | \(-0.206532\pi\) | |||||||
\(432\) | −20.4649 | − | 3.63150i | −0.984618 | − | 0.174721i | ||||
\(433\) | 1.27553 | − | 1.27553i | 0.0612980 | − | 0.0612980i | −0.675793 | − | 0.737091i | \(-0.736199\pi\) |
0.737091 | + | 0.675793i | \(0.236199\pi\) | |||||||
\(434\) | −18.2740 | + | 4.28834i | −0.877180 | + | 0.205847i | ||||
\(435\) | −39.0873 | − | 5.56671i | −1.87409 | − | 0.266903i | ||||
\(436\) | 5.63219 | + | 11.3394i | 0.269733 | + | 0.543060i | ||||
\(437\) | 15.7662 | − | 4.22454i | 0.754200 | − | 0.202087i | ||||
\(438\) | −19.2538 | + | 7.87444i | −0.919981 | + | 0.376255i | ||||
\(439\) | −18.8351 | + | 10.8744i | −0.898950 | + | 0.519009i | −0.876859 | − | 0.480747i | \(-0.840365\pi\) |
−0.0220904 | + | 0.999756i | \(0.507032\pi\) | |||||||
\(440\) | −11.6504 | − | 4.83118i | −0.555412 | − | 0.230317i | ||||
\(441\) | −3.72415 | − | 0.786554i | −0.177340 | − | 0.0374550i | ||||
\(442\) | −3.19623 | − | 5.95930i | −0.152029 | − | 0.283455i | ||||
\(443\) | 14.3493 | + | 3.84489i | 0.681757 | + | 0.182676i | 0.583045 | − | 0.812440i | \(-0.301861\pi\) |
0.0987118 | + | 0.995116i | \(0.468528\pi\) | |||||||
\(444\) | −2.01748 | + | 11.9920i | −0.0957453 | + | 0.569115i | ||||
\(445\) | 9.65301 | − | 8.95680i | 0.457597 | − | 0.424593i | ||||
\(446\) | 12.4892 | − | 11.7308i | 0.591381 | − | 0.555472i | ||||
\(447\) | −14.3146 | + | 37.3630i | −0.677055 | + | 1.76721i | ||||
\(448\) | 8.32366 | − | 17.2486i | 0.393256 | − | 0.814922i | ||||
\(449\) | 27.6710 | 1.30588 | 0.652939 | − | 0.757411i | \(-0.273536\pi\) | ||||
0.652939 | + | 0.757411i | \(0.273536\pi\) | |||||||
\(450\) | −20.1745 | − | 6.55673i | −0.951034 | − | 0.309087i | ||||
\(451\) | − | 8.75428i | − | 0.412223i | ||||||
\(452\) | 12.7702 | + | 14.4782i | 0.600658 | + | 0.680997i | ||||
\(453\) | −7.07695 | + | 5.73839i | −0.332504 | + | 0.269613i | ||||
\(454\) | −13.7776 | − | 14.6682i | −0.646613 | − | 0.688414i | ||||
\(455\) | −20.3734 | − | 21.9570i | −0.955118 | − | 1.02936i | ||||
\(456\) | 1.25871 | + | 19.6949i | 0.0589446 | + | 0.922297i | ||||
\(457\) | −7.76680 | + | 28.9861i | −0.363316 | + | 1.35591i | 0.506374 | + | 0.862314i | \(0.330986\pi\) |
−0.869690 | + | 0.493599i | \(0.835681\pi\) | |||||||
\(458\) | −14.3395 | − | 26.7357i | −0.670041 | − | 1.24928i | ||||
\(459\) | 4.22582 | + | 1.36399i | 0.197245 | + | 0.0636654i | ||||
\(460\) | −18.0298 | − | 1.80893i | −0.840643 | − | 0.0843420i | ||||
\(461\) | −10.4181 | − | 18.0447i | −0.485219 | − | 0.840423i | 0.514637 | − | 0.857408i | \(-0.327927\pi\) |
−0.999856 | + | 0.0169848i | \(0.994593\pi\) | |||||||
\(462\) | 11.5871 | + | 1.57824i | 0.539082 | + | 0.0734264i | ||||
\(463\) | 8.37126 | + | 31.2420i | 0.389045 | + | 1.45194i | 0.831690 | + | 0.555240i | \(0.187374\pi\) |
−0.442645 | + | 0.896697i | \(0.645960\pi\) | |||||||
\(464\) | 5.09207 | − | 40.4574i | 0.236393 | − | 1.87819i | ||||
\(465\) | −19.9236 | + | 8.00707i | −0.923937 | + | 0.371319i | ||||
\(466\) | −10.2338 | + | 2.40155i | −0.474070 | + | 0.111250i | ||||
\(467\) | −6.38671 | − | 6.38671i | −0.295542 | − | 0.295542i | 0.543723 | − | 0.839265i | \(-0.317014\pi\) |
−0.839265 | + | 0.543723i | \(0.817014\pi\) | |||||||
\(468\) | −28.9232 | − | 17.0457i | −1.33698 | − | 0.787937i | ||||
\(469\) | −36.6297 | −1.69140 | ||||||||
\(470\) | −0.623705 | + | 9.06510i | −0.0287694 | + | 0.418142i | ||||
\(471\) | −5.60236 | + | 2.49868i | −0.258143 | + | 0.115133i | ||||
\(472\) | 16.8163 | + | 11.9420i | 0.774034 | + | 0.549676i | ||||
\(473\) | 10.7685 | − | 2.88541i | 0.495137 | − | 0.132671i | ||||
\(474\) | 23.5583 | − | 2.99435i | 1.08207 | − | 0.137535i | ||||
\(475\) | −1.50496 | + | 20.0857i | −0.0690522 | + | 0.921595i | ||||
\(476\) | −2.26353 | + | 3.40859i | −0.103749 | + | 0.156232i | ||||
\(477\) | −13.9395 | + | 27.4455i | −0.638244 | + | 1.25664i | ||||
\(478\) | 8.38116 | + | 15.6265i | 0.383346 | + | 0.714739i | ||||
\(479\) | 6.34078 | + | 10.9826i | 0.289718 | + | 0.501806i | 0.973742 | − | 0.227653i | \(-0.0731052\pi\) |
−0.684025 | + | 0.729459i | \(0.739772\pi\) | |||||||
\(480\) | 6.43205 | − | 20.9435i | 0.293581 | − | 0.955934i | ||||
\(481\) | −9.82117 | + | 17.0108i | −0.447807 | + | 0.775624i | ||||
\(482\) | 2.40649 | + | 0.0753501i | 0.109612 | + | 0.00343210i | ||||
\(483\) | 16.5925 | − | 2.63900i | 0.754983 | − | 0.120079i | ||||
\(484\) | −14.0189 | − | 0.878758i | −0.637221 | − | 0.0399436i | ||||
\(485\) | 0.244648 | + | 0.462890i | 0.0111089 | + | 0.0210188i | ||||
\(486\) | 21.4460 | − | 5.10599i | 0.972808 | − | 0.231612i | ||||
\(487\) | −26.1073 | − | 26.1073i | −1.18304 | − | 1.18304i | −0.978954 | − | 0.204082i | \(-0.934579\pi\) |
−0.204082 | − | 0.978954i | \(-0.565421\pi\) | |||||||
\(488\) | −7.18341 | + | 3.29182i | −0.325178 | + | 0.149014i | ||||
\(489\) | −2.32385 | + | 3.20286i | −0.105088 | + | 0.144838i | ||||
\(490\) | 1.30200 | − | 3.79506i | 0.0588183 | − | 0.171444i | ||||
\(491\) | −5.40953 | + | 9.36958i | −0.244129 | + | 0.422843i | −0.961886 | − | 0.273450i | \(-0.911835\pi\) |
0.717758 | + | 0.696293i | \(0.245169\pi\) | |||||||
\(492\) | 15.1382 | − | 1.44438i | 0.682485 | − | 0.0651178i | ||||
\(493\) | −2.25474 | + | 8.41481i | −0.101548 | + | 0.378984i | ||||
\(494\) | −9.21000 | + | 30.5177i | −0.414378 | + | 1.37305i | ||||
\(495\) | 13.3757 | − | 0.217520i | 0.601193 | − | 0.00977681i | ||||
\(496\) | −8.60318 | − | 20.4399i | −0.386294 | − | 0.917776i | ||||
\(497\) | 26.9492 | + | 7.22102i | 1.20884 | + | 0.323907i | ||||
\(498\) | 1.62906 | + | 1.26164i | 0.0729997 | + | 0.0565353i | ||||
\(499\) | −4.29725 | + | 7.44306i | −0.192371 | + | 0.333197i | −0.946036 | − | 0.324063i | \(-0.894951\pi\) |
0.753664 | + | 0.657260i | \(0.228284\pi\) | |||||||
\(500\) | 9.45509 | − | 20.2633i | 0.422845 | − | 0.906202i | ||||
\(501\) | −13.6396 | + | 6.08332i | −0.609372 | + | 0.271783i | ||||
\(502\) | 6.29259 | − | 10.1515i | 0.280852 | − | 0.453084i | ||||
\(503\) | −3.44497 | − | 3.44497i | −0.153604 | − | 0.153604i | 0.626122 | − | 0.779725i | \(-0.284641\pi\) |
−0.779725 | + | 0.626122i | \(0.784641\pi\) | |||||||
\(504\) | −0.817381 | + | 20.2973i | −0.0364090 | + | 0.904114i | ||||
\(505\) | 19.0355 | + | 5.87155i | 0.847070 | + | 0.261281i | ||||
\(506\) | 11.1248 | − | 2.61065i | 0.494558 | − | 0.116057i | ||||
\(507\) | −19.9726 | − | 24.6315i | −0.887013 | − | 1.09392i | ||||
\(508\) | 4.08543 | − | 12.1488i | 0.181262 | − | 0.539018i | ||||
\(509\) | 15.3038 | + | 8.83563i | 0.678327 | + | 0.391633i | 0.799225 | − | 0.601032i | \(-0.205244\pi\) |
−0.120897 | + | 0.992665i | \(0.538577\pi\) | |||||||
\(510\) | −1.97065 | + | 4.24564i | −0.0872621 | + | 0.188000i | ||||
\(511\) | 10.1653 | + | 17.6068i | 0.449685 | + | 0.778878i | ||||
\(512\) | 21.7355 | + | 6.29038i | 0.960582 | + | 0.277998i | ||||
\(513\) | −9.53921 | − | 18.6322i | −0.421167 | − | 0.822633i | ||||
\(514\) | −40.4388 | − | 12.2041i | −1.78368 | − | 0.538300i | ||||
\(515\) | 1.18272 | + | 0.743140i | 0.0521167 | + | 0.0327467i | ||||
\(516\) | 6.76629 | + | 18.1453i | 0.297869 | + | 0.798801i | ||||
\(517\) | −1.48307 | − | 5.53489i | −0.0652254 | − | 0.243424i | ||||
\(518\) | 11.8792 | + | 0.371953i | 0.521943 | + | 0.0163427i | ||||
\(519\) | 1.00599 | − | 9.63130i | 0.0441580 | − | 0.422767i | ||||
\(520\) | 21.5543 | − | 28.0670i | 0.945217 | − | 1.23082i | ||||
\(521\) | 16.8104i | 0.736477i | 0.929731 | + | 0.368239i | \(0.120039\pi\) | ||||
−0.929731 | + | 0.368239i | \(0.879961\pi\) | |||||||
\(522\) | 12.1249 | + | 41.5157i | 0.530693 | + | 1.81709i | ||||
\(523\) | 3.55669 | + | 3.55669i | 0.155523 | + | 0.155523i | 0.780580 | − | 0.625056i | \(-0.214924\pi\) |
−0.625056 | + | 0.780580i | \(0.714924\pi\) | |||||||
\(524\) | 17.3861 | + | 1.08983i | 0.759515 | + | 0.0476094i | ||||
\(525\) | −3.68849 | + | 20.4019i | −0.160979 | + | 0.890412i | ||||
\(526\) | 6.26503 | + | 6.67004i | 0.273168 | + | 0.290828i | ||||
\(527\) | 1.22626 | + | 4.57645i | 0.0534166 | + | 0.199353i | ||||
\(528\) | 0.449261 | + | 13.8089i | 0.0195516 | + | 0.600954i | ||||
\(529\) | −5.70080 | + | 3.29136i | −0.247861 | + | 0.143103i | ||||
\(530\) | −26.9206 | − | 18.1144i | −1.16936 | − | 0.786839i | ||||
\(531\) | −21.4042 | − | 4.52065i | −0.928863 | − | 0.196179i | ||||
\(532\) | 18.9066 | − | 3.81675i | 0.819704 | − | 0.165477i | ||||
\(533\) | 23.7262 | + | 6.35742i | 1.02770 | + | 0.275370i | ||||
\(534\) | −13.3023 | − | 5.57985i | −0.575647 | − | 0.241464i | ||||
\(535\) | −21.9799 | − | 0.822289i | −0.950272 | − | 0.0355506i | ||||
\(536\) | −7.23191 | − | 42.6682i | −0.312371 | − | 1.84298i | ||||
\(537\) | −8.46996 | + | 1.34713i | −0.365506 | + | 0.0581330i | ||||
\(538\) | 12.2368 | + | 7.58516i | 0.527564 | + | 0.327020i | ||||
\(539\) | 2.53017i | 0.108982i | ||||||||
\(540\) | 2.58302 | + | 23.0939i | 0.111156 | + | 0.993803i | ||||
\(541\) | 30.2397i | 1.30011i | 0.759888 | + | 0.650053i | \(0.225254\pi\) | ||||
−0.759888 | + | 0.650053i | \(0.774746\pi\) | |||||||
\(542\) | −15.4228 | + | 24.8809i | −0.662467 | + | 1.06872i | ||||
\(543\) | 24.0490 | − | 3.82494i | 1.03204 | − | 0.164144i | ||||
\(544\) | −4.41740 | − | 1.96371i | −0.189394 | − | 0.0841934i | ||||
\(545\) | 10.3767 | − | 9.62830i | 0.444489 | − | 0.412431i | ||||
\(546\) | −12.6921 | + | 30.2578i | −0.543170 | + | 1.29491i | ||||
\(547\) | 7.76990 | + | 2.08194i | 0.332217 | + | 0.0890173i | 0.421072 | − | 0.907027i | \(-0.361654\pi\) |
−0.0888548 | + | 0.996045i | \(0.528321\pi\) | |||||||
\(548\) | 5.05266 | + | 25.0287i | 0.215839 | + | 1.06917i | ||||
\(549\) | 5.59995 | − | 6.23560i | 0.239000 | − | 0.266129i | ||||
\(550\) | −1.49315 | + | 14.0218i | −0.0636683 | + | 0.597892i | ||||
\(551\) | 35.5643 | − | 20.5330i | 1.51509 | − | 0.874737i | ||||
\(552\) | 6.34994 | + | 18.8067i | 0.270271 | + | 0.800468i | ||||
\(553\) | −6.00715 | − | 22.4190i | −0.255450 | − | 0.953353i | ||||
\(554\) | −4.57723 | + | 4.29930i | −0.194468 | + | 0.182660i | ||||
\(555\) | 13.4976 | − | 1.63209i | 0.572940 | − | 0.0692785i | ||||
\(556\) | −46.3924 | − | 2.90806i | −1.96748 | − | 0.123329i | ||||
\(557\) | −8.18977 | − | 8.18977i | −0.347012 | − | 0.347012i | 0.511984 | − | 0.858995i | \(-0.328911\pi\) |
−0.858995 | + | 0.511984i | \(0.828911\pi\) | |||||||
\(558\) | 17.0001 | + | 16.2565i | 0.719670 | + | 0.688194i | ||||
\(559\) | 31.2807i | 1.32303i | ||||||||
\(560\) | −21.1301 | − | 3.46632i | −0.892912 | − | 0.146479i | ||||
\(561\) | 0.306641 | − | 2.93577i | 0.0129464 | − | 0.123948i | ||||
\(562\) | 1.01442 | − | 32.3979i | 0.0427908 | − | 1.36662i | ||||
\(563\) | −10.8916 | − | 40.6478i | −0.459024 | − | 1.71310i | −0.675979 | − | 0.736921i | \(-0.736279\pi\) |
0.216955 | − | 0.976182i | \(-0.430387\pi\) | |||||||
\(564\) | 9.32647 | − | 3.47780i | 0.392715 | − | 0.146442i | ||||
\(565\) | 11.4833 | − | 18.2758i | 0.483105 | − | 0.768867i | ||||
\(566\) | 11.5800 | − | 38.3708i | 0.486745 | − | 1.61285i | ||||
\(567\) | −7.77345 | − | 20.0949i | −0.326454 | − | 0.843905i | ||||
\(568\) | −3.09076 | + | 32.8175i | −0.129685 | + | 1.37699i | ||||
\(569\) | −20.9092 | − | 36.2159i | −0.876561 | − | 1.51825i | −0.855090 | − | 0.518479i | \(-0.826498\pi\) |
−0.0214709 | − | 0.999769i | \(-0.506835\pi\) | |||||||
\(570\) | 20.7205 | − | 7.58309i | 0.867884 | − | 0.317621i | ||||
\(571\) | 22.5712 | + | 13.0315i | 0.944577 | + | 0.545352i | 0.891392 | − | 0.453233i | \(-0.149729\pi\) |
0.0531849 | + | 0.998585i | \(0.483063\pi\) | |||||||
\(572\) | −7.11325 | + | 21.1527i | −0.297420 | + | 0.884437i | ||||
\(573\) | −4.82177 | − | 5.94652i | −0.201433 | − | 0.248419i | ||||
\(574\) | −3.39553 | − | 14.4694i | −0.141727 | − | 0.603942i | ||||
\(575\) | 3.76666 | + | 19.9059i | 0.157081 | + | 0.830133i | ||||
\(576\) | −23.8047 | + | 3.05523i | −0.991864 | + | 0.127301i | ||||
\(577\) | −14.4641 | − | 14.4641i | −0.602148 | − | 0.602148i | 0.338734 | − | 0.940882i | \(-0.390001\pi\) |
−0.940882 | + | 0.338734i | \(0.890001\pi\) | |||||||
\(578\) | −19.5564 | − | 12.1224i | −0.813440 | − | 0.504225i | ||||
\(579\) | 0.737997 | − | 0.329150i | 0.0306701 | − | 0.0136790i | ||||
\(580\) | −44.9941 | + | 7.34442i | −1.86828 | + | 0.304960i | ||||
\(581\) | 1.00690 | − | 1.74400i | 0.0417732 | − | 0.0723532i | ||||
\(582\) | 0.351179 | − | 0.453451i | 0.0145568 | − | 0.0187961i | ||||
\(583\) | 19.7649 | + | 5.29599i | 0.818578 | + | 0.219337i | ||||
\(584\) | −18.5023 | + | 15.3172i | −0.765632 | + | 0.633830i | ||||
\(585\) | −9.12399 | + | 36.4093i | −0.377231 | + | 1.50534i | ||||
\(586\) | −5.24768 | − | 1.58371i | −0.216780 | − | 0.0654224i | ||||
\(587\) | −6.10767 | + | 22.7941i | −0.252091 | + | 0.940815i | 0.717595 | + | 0.696460i | \(0.245243\pi\) |
−0.969686 | + | 0.244355i | \(0.921424\pi\) | |||||||
\(588\) | −4.37527 | + | 0.417457i | −0.180433 | + | 0.0172156i | ||||
\(589\) | 11.1670 | − | 19.3419i | 0.460130 | − | 0.796968i | ||||
\(590\) | 7.48312 | − | 21.8118i | 0.308075 | − | 0.897977i | ||||
\(591\) | −17.6316 | + | 24.3008i | −0.725265 | + | 0.999602i | ||||
\(592\) | 1.91208 | + | 13.9110i | 0.0785859 | + | 0.571737i | ||||
\(593\) | −24.6629 | − | 24.6629i | −1.01278 | − | 1.01278i | −0.999917 | − | 0.0128657i | \(-0.995905\pi\) |
−0.0128657 | − | 0.999917i | \(-0.504095\pi\) | |||||||
\(594\) | −6.26675 | − | 13.2467i | −0.257128 | − | 0.543520i | ||||
\(595\) | 4.37143 | + | 1.34838i | 0.179211 | + | 0.0552781i | ||||
\(596\) | −2.89039 | + | 46.1105i | −0.118395 | + | 1.88876i | ||||
\(597\) | 8.96962 | − | 1.42660i | 0.367102 | − | 0.0583869i | ||||
\(598\) | −1.00343 | + | 32.0468i | −0.0410331 | + | 1.31049i | ||||
\(599\) | 5.95065 | − | 10.3068i | 0.243137 | − | 0.421126i | −0.718469 | − | 0.695559i | \(-0.755157\pi\) |
0.961606 | + | 0.274433i | \(0.0884902\pi\) | |||||||
\(600\) | −24.4934 | − | 0.268540i | −0.999940 | − | 0.0109631i | ||||
\(601\) | −18.3377 | − | 31.7618i | −0.748009 | − | 1.29559i | −0.948776 | − | 0.315950i | \(-0.897677\pi\) |
0.200767 | − | 0.979639i | \(-0.435657\pi\) | |||||||
\(602\) | 16.6795 | − | 8.94592i | 0.679804 | − | 0.364608i | ||||
\(603\) | 25.0498 | + | 38.4641i | 1.02011 | + | 1.56638i | ||||
\(604\) | −5.82000 | + | 8.76417i | −0.236812 | + | 0.356609i | ||||
\(605\) | 3.49464 | + | 15.3106i | 0.142077 | + | 0.622463i | ||||
\(606\) | −2.75150 | − | 21.6477i | −0.111772 | − | 0.879376i | ||||
\(607\) | −16.1510 | + | 4.32766i | −0.655550 | + | 0.175654i | −0.571237 | − | 0.820785i | \(-0.693536\pi\) |
−0.0843131 | + | 0.996439i | \(0.526870\pi\) | |||||||
\(608\) | 8.17874 | + | 21.2698i | 0.331692 | + | 0.862605i | ||||
\(609\) | 38.6047 | − | 17.2179i | 1.56434 | − | 0.697703i | ||||
\(610\) | 5.80335 | + | 6.66093i | 0.234971 | + | 0.269693i | ||||
\(611\) | 16.0779 | 0.650443 | ||||||||
\(612\) | 5.12724 | + | 0.0458778i | 0.207257 | + | 0.00185450i | ||||
\(613\) | 0.204559 | + | 0.204559i | 0.00826205 | + | 0.00826205i | 0.711226 | − | 0.702964i | \(-0.248140\pi\) |
−0.702964 | + | 0.711226i | \(0.748140\pi\) | |||||||
\(614\) | −7.68624 | − | 32.7535i | −0.310191 | − | 1.32182i | ||||
\(615\) | −6.34003 | − | 15.7756i | −0.255655 | − | 0.636134i | ||||
\(616\) | 13.3133 | − | 2.25650i | 0.536409 | − | 0.0909169i | ||||
\(617\) | −6.02265 | − | 22.4768i | −0.242463 | − | 0.904883i | −0.974642 | − | 0.223771i | \(-0.928163\pi\) |
0.732179 | − | 0.681112i | \(-0.238503\pi\) | |||||||
\(618\) | 0.206507 | − | 1.51613i | 0.00830692 | − | 0.0609877i | ||||
\(619\) | 17.7506 | + | 30.7450i | 0.713458 | + | 1.23575i | 0.963551 | + | 0.267524i | \(0.0862055\pi\) |
−0.250093 | + | 0.968222i | \(0.580461\pi\) | |||||||
\(620\) | −19.1948 | + | 15.6944i | −0.770881 | + | 0.630300i | ||||
\(621\) | −14.1182 | − | 15.6187i | −0.566542 | − | 0.626757i | ||||
\(622\) | 0.101942 | − | 0.0546759i | 0.00408750 | − | 0.00219230i | ||||
\(623\) | −3.64893 | + | 13.6180i | −0.146191 | + | 0.545594i | ||||
\(624\) | −37.7516 | − | 8.81050i | −1.51128 | − | 0.352702i | ||||
\(625\) | −24.7209 | − | 3.72543i | −0.988835 | − | 0.149017i | ||||
\(626\) | 11.9829 | − | 11.2553i | 0.478934 | − | 0.449852i | ||||
\(627\) | −10.8078 | + | 8.76354i | −0.431620 | + | 0.349982i | ||||
\(628\) | −5.31218 | + | 4.68549i | −0.211979 | + | 0.186971i | ||||
\(629\) | − | 2.99993i | − | 0.119615i | ||||||
\(630\) | 22.0235 | − | 5.54756i | 0.877438 | − | 0.221020i | ||||
\(631\) | −4.17303 | −0.166126 | −0.0830629 | − | 0.996544i | \(-0.526470\pi\) | ||||
−0.0830629 | + | 0.996544i | \(0.526470\pi\) | |||||||
\(632\) | 24.9288 | − | 11.4237i | 0.991615 | − | 0.454410i | ||||
\(633\) | 15.5204 | − | 40.5103i | 0.616879 | − | 1.61014i | ||||
\(634\) | −17.2136 | − | 18.3264i | −0.683640 | − | 0.727835i | ||||
\(635\) | −14.3202 | − | 0.535735i | −0.568281 | − | 0.0212600i | ||||
\(636\) | −5.89699 | + | 35.0520i | −0.233831 | + | 1.38990i | ||||
\(637\) | −6.85737 | − | 1.83743i | −0.271699 | − | 0.0728015i | ||||
\(638\) | 25.3356 | − | 13.5886i | 1.00305 | − | 0.537978i | ||||
\(639\) | −10.8470 | − | 33.2371i | −0.429099 | − | 1.31484i | ||||
\(640\) | −0.134042 | − | 25.2979i | −0.00529849 | − | 0.999986i | ||||
\(641\) | 3.59330 | − | 2.07459i | 0.141927 | − | 0.0819415i | −0.427355 | − | 0.904084i | \(-0.640555\pi\) |
0.569282 | + | 0.822142i | \(0.307221\pi\) | |||||||
\(642\) | 9.12091 | + | 22.3015i | 0.359974 | + | 0.880171i | ||||
\(643\) | −23.5484 | + | 6.30976i | −0.928656 | + | 0.248833i | −0.691282 | − | 0.722585i | \(-0.742954\pi\) |
−0.237375 | + | 0.971418i | \(0.576287\pi\) | |||||||
\(644\) | 17.3749 | − | 8.62997i | 0.684669 | − | 0.340069i | ||||
\(645\) | 17.3157 | − | 12.9984i | 0.681804 | − | 0.511813i | ||||
\(646\) | −1.11228 | − | 4.73977i | −0.0437620 | − | 0.186484i | ||||
\(647\) | −12.9988 | + | 12.9988i | −0.511037 | + | 0.511037i | −0.914844 | − | 0.403807i | \(-0.867687\pi\) |
0.403807 | + | 0.914844i | \(0.367687\pi\) | |||||||
\(648\) | 21.8728 | − | 13.0223i | 0.859245 | − | 0.511565i | ||||
\(649\) | 14.5419i | 0.570820i | ||||||||
\(650\) | −36.9181 | − | 14.2295i | −1.44805 | − | 0.558128i | ||||
\(651\) | 13.5005 | − | 18.6072i | 0.529128 | − | 0.729275i | ||||
\(652\) | −1.45641 | + | 4.33093i | −0.0570375 | + | 0.169612i | ||||
\(653\) | −2.96973 | − | 11.0832i | −0.116215 | − | 0.433718i | 0.883160 | − | 0.469071i | \(-0.155411\pi\) |
−0.999375 | + | 0.0353527i | \(0.988745\pi\) | |||||||
\(654\) | −14.2996 | − | 5.99817i | −0.559158 | − | 0.234547i | ||||
\(655\) | −4.33403 | − | 18.9881i | −0.169344 | − | 0.741925i | ||||
\(656\) | 16.1844 | − | 6.81203i | 0.631893 | − | 0.265965i | ||||
\(657\) | 11.5369 | − | 22.7150i | 0.450096 | − | 0.886198i | ||||
\(658\) | −4.59810 | − | 8.57306i | −0.179253 | − | 0.334213i | ||||
\(659\) | 25.6245 | − | 14.7943i | 0.998188 | − | 0.576304i | 0.0904761 | − | 0.995899i | \(-0.471161\pi\) |
0.907712 | + | 0.419595i | \(0.137828\pi\) | |||||||
\(660\) | 14.6651 | − | 4.85222i | 0.570838 | − | 0.188872i | ||||
\(661\) | −10.5669 | − | 6.10078i | −0.411003 | − | 0.237293i | 0.280218 | − | 0.959937i | \(-0.409593\pi\) |
−0.691221 | + | 0.722644i | \(0.742927\pi\) | |||||||
\(662\) | −0.125948 | + | 4.02245i | −0.00489511 | + | 0.156337i | ||||
\(663\) | 7.73396 | + | 2.96305i | 0.300362 | + | 0.115075i | ||||
\(664\) | 2.23029 | + | 0.828564i | 0.0865522 | + | 0.0321545i | ||||
\(665\) | −10.0766 | − | 19.0655i | −0.390753 | − | 0.739330i | ||||
\(666\) | −7.73320 | − | 12.7285i | −0.299656 | − | 0.493220i | ||||
\(667\) | 29.2070 | − | 29.2070i | 1.13090 | − | 1.13090i | ||||
\(668\) | −12.9331 | + | 11.4074i | −0.500398 | + | 0.441364i | ||||
\(669\) | −2.18007 | + | 20.8719i | −0.0842863 | + | 0.806955i | ||||
\(670\) | −43.4642 | + | 21.2591i | −1.67917 | + | 0.821312i | ||||
\(671\) | −4.82476 | − | 2.78558i | −0.186258 | − | 0.107536i | ||||
\(672\) | 6.09861 | + | 22.6496i | 0.235259 | + | 0.873728i | ||||
\(673\) | −11.5750 | − | 3.10152i | −0.446184 | − | 0.119555i | 0.0287292 | − | 0.999587i | \(-0.490854\pi\) |
−0.474913 | + | 0.880033i | \(0.657521\pi\) | |||||||
\(674\) | 6.15031 | − | 20.3793i | 0.236901 | − | 0.784981i | ||||
\(675\) | 23.9461 | − | 10.0789i | 0.921685 | − | 0.387938i | ||||
\(676\) | −30.5039 | − | 20.2566i | −1.17323 | − | 0.779101i | ||||
\(677\) | 5.13476 | − | 19.1632i | 0.197345 | − | 0.736502i | −0.794302 | − | 0.607523i | \(-0.792163\pi\) |
0.991647 | − | 0.128979i | \(-0.0411699\pi\) | |||||||
\(678\) | −23.4278 | − | 3.19102i | −0.899738 | − | 0.122550i | ||||
\(679\) | −0.485445 | − | 0.280272i | −0.0186297 | − | 0.0107558i | ||||
\(680\) | −0.707596 | + | 5.35829i | −0.0271351 | + | 0.205481i | ||||
\(681\) | 24.5135 | + | 2.56043i | 0.939359 | + | 0.0981159i | ||||
\(682\) | 8.23780 | − | 13.2896i | 0.315442 | − | 0.508886i | ||||
\(683\) | 17.3980 | − | 17.3980i | 0.665717 | − | 0.665717i | −0.291005 | − | 0.956722i | \(-0.593990\pi\) |
0.956722 | + | 0.291005i | \(0.0939896\pi\) | |||||||
\(684\) | −16.9375 | − | 17.2433i | −0.647620 | − | 0.659314i | ||||
\(685\) | 25.2392 | − | 13.3395i | 0.964340 | − | 0.509676i | ||||
\(686\) | 6.39580 | + | 27.2546i | 0.244193 | + | 1.04058i | ||||
\(687\) | 34.6975 | + | 13.2933i | 1.32379 | + | 0.507173i | ||||
\(688\) | 13.7137 | + | 17.6629i | 0.522832 | + | 0.673391i | ||||
\(689\) | −28.7068 | + | 49.7216i | −1.09364 | + | 1.89424i | ||||
\(690\) | 18.1567 | − | 12.7613i | 0.691215 | − | 0.485815i | ||||
\(691\) | −11.0119 | + | 6.35771i | −0.418912 | + | 0.241859i | −0.694612 | − | 0.719385i | \(-0.744424\pi\) |
0.275700 | + | 0.961244i | \(0.411090\pi\) | |||||||
\(692\) | −2.21268 | − | 10.9607i | −0.0841134 | − | 0.416662i | ||||
\(693\) | −12.0016 | + | 7.81603i | −0.455902 | + | 0.296906i | ||||
\(694\) | −5.58478 | + | 18.5054i | −0.211995 | + | 0.702454i | ||||
\(695\) | 11.5648 | + | 50.6670i | 0.438676 | + | 1.92191i | ||||
\(696\) | 27.6781 | + | 41.5694i | 1.04914 | + | 1.57568i | ||||
\(697\) | −3.62365 | + | 0.970955i | −0.137256 | + | 0.0367776i | ||||
\(698\) | −32.7204 | − | 1.02452i | −1.23849 | − | 0.0387786i | ||||
\(699\) | 7.56054 | − | 10.4204i | 0.285966 | − | 0.394135i | ||||
\(700\) | 2.97070 | + | 23.7550i | 0.112282 | + | 0.897853i | ||||
\(701\) | −5.51354 | −0.208243 | −0.104122 | − | 0.994565i | \(-0.533203\pi\) | ||||
−0.104122 | + | 0.994565i | \(0.533203\pi\) | |||||||
\(702\) | 40.4528 | − | 7.36453i | 1.52679 | − | 0.277956i | ||||
\(703\) | −9.99952 | + | 9.99952i | −0.377139 | + | 0.377139i | ||||
\(704\) | 5.25698 | + | 15.0625i | 0.198130 | + | 0.567691i | ||||
\(705\) | −6.68105 | − | 8.90007i | −0.251623 | − | 0.335196i | ||||
\(706\) | −24.8147 | − | 26.4189i | −0.933914 | − | 0.994289i | ||||
\(707\) | −20.6007 | + | 5.51995i | −0.774771 | + | 0.207599i | ||||
\(708\) | −25.1465 | + | 2.39929i | −0.945062 | + | 0.0901710i | ||||
\(709\) | −12.5560 | − | 21.7476i | −0.471549 | − | 0.816747i | 0.527921 | − | 0.849293i | \(-0.322972\pi\) |
−0.999470 | + | 0.0325464i | \(0.989638\pi\) | |||||||
\(710\) | 36.1685 | − | 7.07243i | 1.35738 | − | 0.265424i | ||||
\(711\) | −19.4337 | + | 21.6396i | −0.728820 | + | 0.811547i | ||||
\(712\) | −16.5834 | − | 1.56182i | −0.621489 | − | 0.0585319i | ||||
\(713\) | 5.81409 | − | 21.6985i | 0.217740 | − | 0.812615i | ||||
\(714\) | −0.631871 | − | 4.97130i | −0.0236472 | − | 0.186046i | ||||
\(715\) | 24.9333 | + | 0.932781i | 0.932454 | + | 0.0348840i | ||||
\(716\) | −8.86940 | + | 4.40535i | −0.331465 | + | 0.164636i | ||||
\(717\) | −20.2800 | − | 7.76971i | −0.757371 | − | 0.290165i | ||||
\(718\) | 13.0124 | − | 20.9922i | 0.485618 | − | 0.783423i | ||||
\(719\) | 18.4523 | 0.688153 | 0.344077 | − | 0.938942i | \(-0.388192\pi\) | ||||
0.344077 | + | 0.938942i | \(0.388192\pi\) | |||||||
\(720\) | 10.8103 | + | 24.5589i | 0.402875 | + | 0.915255i | ||||
\(721\) | −1.49546 | −0.0556940 | ||||||||
\(722\) | 2.06538 | − | 3.33197i | 0.0768654 | − | 0.124003i | ||||
\(723\) | −2.29043 | + | 1.85721i | −0.0851819 | + | 0.0690703i | ||||
\(724\) | 25.1831 | − | 12.5082i | 0.935922 | − | 0.464864i | ||||
\(725\) | 22.1159 | + | 45.9227i | 0.821365 | + | 1.70553i | ||||
\(726\) | 13.6950 | − | 10.4115i | 0.508267 | − | 0.386407i | ||||
\(727\) | 9.02727 | − | 33.6902i | 0.334803 | − | 1.24950i | −0.569280 | − | 0.822144i | \(-0.692778\pi\) |
0.904083 | − | 0.427358i | \(-0.140555\pi\) | |||||||
\(728\) | −3.55257 | + | 37.7210i | −0.131667 | + | 1.39803i | ||||
\(729\) | −15.7852 | + | 21.9049i | −0.584639 | + | 0.811294i | ||||
\(730\) | 22.2806 | + | 14.9922i | 0.824642 | + | 0.554887i | ||||
\(731\) | −2.38872 | − | 4.13738i | −0.0883499 | − | 0.153026i | ||||
\(732\) | 4.02089 | − | 8.80276i | 0.148616 | − | 0.325360i | ||||
\(733\) | 20.4091 | − | 5.46861i | 0.753829 | − | 0.201988i | 0.138613 | − | 0.990347i | \(-0.455736\pi\) |
0.615216 | + | 0.788359i | \(0.289069\pi\) | |||||||
\(734\) | 2.04985 | + | 2.18236i | 0.0756613 | + | 0.0805525i | ||||
\(735\) | 1.83240 | + | 4.55948i | 0.0675891 | + | 0.168179i | ||||
\(736\) | 13.4830 | + | 18.5354i | 0.496991 | + | 0.683224i | ||||
\(737\) | 21.5755 | − | 21.5755i | 0.794745 | − | 0.794745i | ||||
\(738\) | −12.8720 | + | 13.4607i | −0.473825 | + | 0.495496i | ||||
\(739\) | −31.2150 | −1.14826 | −0.574131 | − | 0.818763i | \(-0.694660\pi\) | ||||
−0.574131 | + | 0.818763i | \(0.694660\pi\) | |||||||
\(740\) | 14.3116 | − | 6.45311i | 0.526104 | − | 0.237221i | ||||
\(741\) | −15.9026 | − | 35.6558i | −0.584198 | − | 1.30985i | ||||
\(742\) | 34.7224 | + | 1.08720i | 1.27470 | + | 0.0399124i | ||||
\(743\) | 21.8816 | − | 5.86316i | 0.802758 | − | 0.215098i | 0.165964 | − | 0.986132i | \(-0.446927\pi\) |
0.636795 | + | 0.771033i | \(0.280260\pi\) | |||||||
\(744\) | 24.3401 | + | 12.0525i | 0.892352 | + | 0.441865i | ||||
\(745\) | 50.3591 | − | 11.4945i | 1.84501 | − | 0.421125i | ||||
\(746\) | 5.10980 | − | 16.9315i | 0.187083 | − | 0.619906i | ||||
\(747\) | −2.51992 | + | 0.135335i | −0.0921992 | + | 0.00495165i | ||||
\(748\) | −0.674458 | − | 3.34098i | −0.0246606 | − | 0.122158i | ||||
\(749\) | 20.3938 | − | 11.7744i | 0.745174 | − | 0.430226i | ||||
\(750\) | 7.46415 | + | 26.3493i | 0.272552 | + | 0.962141i | ||||
\(751\) | 20.8451 | − | 36.1048i | 0.760650 | − | 1.31748i | −0.181867 | − | 0.983323i | \(-0.558214\pi\) |
0.942516 | − | 0.334161i | \(-0.108453\pi\) | |||||||
\(752\) | 9.07853 | − | 7.04871i | 0.331060 | − | 0.257040i | ||||
\(753\) | 2.29766 | + | 14.4463i | 0.0837313 | + | 0.526453i | ||||
\(754\) | 18.4295 | + | 78.5338i | 0.671161 | + | 2.86003i | ||||
\(755\) | 11.2398 | + | 3.46695i | 0.409060 | + | 0.126175i | ||||
\(756\) | −15.4959 | − | 19.4640i | −0.563582 | − | 0.707900i | ||||
\(757\) | 5.86828 | − | 5.86828i | 0.213286 | − | 0.213286i | −0.592376 | − | 0.805662i | \(-0.701810\pi\) |
0.805662 | + | 0.592376i | \(0.201810\pi\) | |||||||
\(758\) | −12.3304 | + | 19.8920i | −0.447859 | + | 0.722508i | ||||
\(759\) | −8.21883 | + | 11.3277i | −0.298325 | + | 0.411168i | ||||
\(760\) | 20.2191 | − | 15.5019i | 0.733423 | − | 0.562313i | ||||
\(761\) | 29.6500 | + | 17.1185i | 1.07481 | + | 0.620543i | 0.929492 | − | 0.368841i | \(-0.120245\pi\) |
0.145320 | + | 0.989385i | \(0.453579\pi\) | |||||||
\(762\) | 5.94243 | + | 14.5298i | 0.215271 | + | 0.526359i | ||||
\(763\) | −3.92250 | + | 14.6390i | −0.142004 | + | 0.529966i | ||||
\(764\) | −7.36424 | − | 4.89035i | −0.266429 | − | 0.176927i | ||||
\(765\) | −1.57356 | − | 5.51247i | −0.0568923 | − | 0.199304i | ||||
\(766\) | −0.343263 | + | 1.13741i | −0.0124026 | + | 0.0410965i | ||||
\(767\) | −39.4121 | − | 10.5604i | −1.42309 | − | 0.381315i | ||||
\(768\) | −25.1794 | + | 11.5758i | −0.908583 | + | 0.417704i | ||||
\(769\) | −42.2935 | − | 24.4181i | −1.52514 | − | 0.880541i | −0.999556 | − | 0.0298002i | \(-0.990513\pi\) |
−0.525586 | − | 0.850741i | \(-0.676154\pi\) | |||||||
\(770\) | −6.63328 | − | 13.5617i | −0.239047 | − | 0.488730i | ||||
\(771\) | 47.2472 | − | 21.0725i | 1.70157 | − | 0.758907i | ||||
\(772\) | 0.699772 | − | 0.617218i | 0.0251853 | − | 0.0222141i | ||||
\(773\) | −27.6015 | + | 27.6015i | −0.992756 | + | 0.992756i | −0.999974 | − | 0.00721752i | \(-0.997703\pi\) |
0.00721752 | + | 0.999974i | \(0.497703\pi\) | |||||||
\(774\) | −20.8005 | − | 11.3970i | −0.747657 | − | 0.409657i | ||||
\(775\) | 22.9042 | + | 15.6154i | 0.822742 | + | 0.560921i | ||||
\(776\) | 0.230632 | − | 0.620807i | 0.00827922 | − | 0.0222857i | ||||
\(777\) | −11.3063 | + | 9.16780i | −0.405612 | + | 0.328893i | ||||
\(778\) | 0.404689 | − | 12.9247i | 0.0145088 | − | 0.463373i | ||||
\(779\) | 15.3150 | + | 8.84210i | 0.548716 | + | 0.316801i | ||||
\(780\) | 2.50079 | + | 43.2696i | 0.0895427 | + | 1.54930i | ||||
\(781\) | −20.1269 | + | 11.6203i | −0.720196 | + | 0.415805i | ||||
\(782\) | −2.31450 | − | 4.31533i | −0.0827664 | − | 0.154316i | ||||
\(783\) | −44.4806 | − | 28.7634i | −1.58961 | − | 1.02792i | ||||
\(784\) | −4.67762 | + | 1.96882i | −0.167058 | + | 0.0703150i | ||||
\(785\) | 6.70555 | + | 4.21332i | 0.239331 | + | 0.150380i | ||||
\(786\) | −16.9844 | + | 12.9123i | −0.605813 | + | 0.460565i | ||||
\(787\) | −1.01458 | − | 3.78648i | −0.0361660 | − | 0.134974i | 0.945482 | − | 0.325673i | \(-0.105591\pi\) |
−0.981648 | + | 0.190700i | \(0.938924\pi\) | |||||||
\(788\) | −11.0501 | + | 32.8598i | −0.393644 | + | 1.17058i | ||||
\(789\) | −11.1470 | − | 1.16430i | −0.396842 | − | 0.0414501i | ||||
\(790\) | −20.1395 | − | 23.1156i | −0.716533 | − | 0.822417i | ||||
\(791\) | 23.1085i | 0.821642i | ||||||||
\(792\) | −11.4740 | − | 12.4369i | −0.407712 | − | 0.441927i | ||||
\(793\) | 11.0534 | − | 11.0534i | 0.392516 | − | 0.392516i | ||||
\(794\) | 11.0883 | + | 47.2509i | 0.393510 | + | 1.67687i | ||||
\(795\) | 39.4527 | − | 4.77052i | 1.39924 | − | 0.169193i | ||||
\(796\) | 9.39263 | − | 4.66523i | 0.332913 | − | 0.165355i | ||||
\(797\) | 2.24476 | − | 0.601481i | 0.0795134 | − | 0.0213056i | −0.218843 | − | 0.975760i | \(-0.570228\pi\) |
0.298356 | + | 0.954455i | \(0.403562\pi\) | |||||||
\(798\) | −14.4644 | + | 18.6767i | −0.512034 | + | 0.661150i | ||||
\(799\) | −2.12657 | + | 1.22777i | −0.0752325 | + | 0.0434355i | ||||
\(800\) | −27.0845 | + | 8.15044i | −0.957582 | + | 0.288162i | ||||
\(801\) | 16.7954 | − | 5.48120i | 0.593436 | − | 0.193669i | ||||
\(802\) | −8.90904 | + | 4.77830i | −0.314589 | + | 0.168728i | ||||
\(803\) | −16.3582 | − | 4.38318i | −0.577269 | − | 0.154679i | ||||
\(804\) | 40.8691 | + | 33.7495i | 1.44134 | + | 1.19025i | ||||
\(805\) | −14.7531 | − | 15.8998i | −0.519977 | − | 0.560394i | ||||
\(806\) | 30.0357 | + | 31.9775i | 1.05796 | + | 1.12636i | ||||
\(807\) | −17.4137 | + | 2.76962i | −0.612993 | + | 0.0974953i | ||||
\(808\) | −10.4972 | − | 22.9070i | −0.369290 | − | 0.805866i | ||||
\(809\) | −13.1970 | −0.463984 | −0.231992 | − | 0.972718i | \(-0.574524\pi\) | ||||
−0.231992 | + | 0.972718i | \(0.574524\pi\) | |||||||
\(810\) | −20.8865 | − | 19.3327i | −0.733877 | − | 0.679282i | ||||
\(811\) | − | 16.6032i | − | 0.583016i | −0.956568 | − | 0.291508i | \(-0.905843\pi\) | ||
0.956568 | − | 0.291508i | \(-0.0941571\pi\) | |||||||
\(812\) | 36.6051 | − | 32.2867i | 1.28459 | − | 1.13304i | ||||
\(813\) | −5.63144 | − | 35.4072i | −0.197503 | − | 1.24178i | ||||
\(814\) | −7.21616 | + | 6.77798i | −0.252926 | + | 0.237568i | ||||
\(815\) | 5.10501 | + | 0.190984i | 0.178821 | + | 0.00668986i | ||||
\(816\) | 5.66607 | − | 1.71753i | 0.198352 | − | 0.0601257i | ||||
\(817\) | −5.82872 | + | 21.7531i | −0.203921 | + | 0.761044i | ||||
\(818\) | −31.4398 | + | 16.8625i | −1.09927 | + | 0.589584i | ||||
\(819\) | −12.4677 | − | 38.2032i | −0.435656 | − | 1.33493i | ||||
\(820\) | −12.4269 | − | 15.1985i | −0.433964 | − | 0.530755i | ||||
\(821\) | 7.59710 | + | 13.1586i | 0.265141 | + | 0.459237i | 0.967600 | − | 0.252486i | \(-0.0812483\pi\) |
−0.702460 | + | 0.711723i | \(0.747915\pi\) | |||||||
\(822\) | −24.7245 | − | 19.1481i | −0.862366 | − | 0.667867i | ||||
\(823\) | 9.82093 | + | 36.6522i | 0.342336 | + | 1.27762i | 0.895694 | + | 0.444671i | \(0.146680\pi\) |
−0.553358 | + | 0.832944i | \(0.686654\pi\) | |||||||
\(824\) | −0.295254 | − | 1.74200i | −0.0102857 | − | 0.0606853i | ||||
\(825\) | −9.84450 | − | 14.1897i | −0.342741 | − | 0.494021i | ||||
\(826\) | 5.64038 | + | 24.0355i | 0.196254 | + | 0.836301i | ||||
\(827\) | 11.9008 | + | 11.9008i | 0.413833 | + | 0.413833i | 0.883071 | − | 0.469239i | \(-0.155472\pi\) |
−0.469239 | + | 0.883071i | \(0.655472\pi\) | |||||||
\(828\) | −20.9443 | − | 12.3434i | −0.727865 | − | 0.428962i | ||||
\(829\) | −13.3823 | −0.464785 | −0.232392 | − | 0.972622i | \(-0.574655\pi\) | ||||
−0.232392 | + | 0.972622i | \(0.574655\pi\) | |||||||
\(830\) | 0.182588 | − | 2.65379i | 0.00633772 | − | 0.0921143i | ||||
\(831\) | 0.798984 | − | 7.64945i | 0.0277164 | − | 0.265357i | ||||
\(832\) | −44.6408 | + | 3.30915i | −1.54764 | + | 0.114724i | ||||
\(833\) | 1.04731 | − | 0.280626i | 0.0362872 | − | 0.00972313i | ||||
\(834\) | 45.3205 | − | 34.4546i | 1.56932 | − | 1.19307i | ||||
\(835\) | 16.3254 | + | 10.2578i | 0.564965 | + | 0.354986i | ||||
\(836\) | −8.88817 | + | 13.3844i | −0.307404 | + | 0.462911i | ||||
\(837\) | −28.7717 | − | 1.45184i | −0.994494 | − | 0.0501829i | ||||
\(838\) | 28.7175 | − | 15.4024i | 0.992029 | − | 0.532068i | ||||
\(839\) | 9.40516 | + | 16.2902i | 0.324702 | + | 0.562401i | 0.981452 | − | 0.191708i | \(-0.0614026\pi\) |
−0.656750 | + | 0.754108i | \(0.728069\pi\) | |||||||
\(840\) | 22.3570 | − | 13.7081i | 0.771390 | − | 0.472974i | ||||
\(841\) | 37.4602 | − | 64.8831i | 1.29173 | − | 2.23735i | ||||
\(842\) | −1.42516 | + | 45.5159i | −0.0491143 | + | 1.56858i | ||||
\(843\) | 25.0031 | + | 30.8355i | 0.861154 | + | 1.06203i | ||||
\(844\) | 3.13386 | − | 49.9947i | 0.107872 | − | 1.72089i | ||||
\(845\) | −12.0668 | + | 39.1205i | −0.415111 | + | 1.34579i | ||||
\(846\) | −5.85793 | + | 10.6912i | −0.201400 | + | 0.367571i | ||||
\(847\) | −11.8889 | − | 11.8889i | −0.408509 | − | 0.408509i | ||||
\(848\) | 5.58891 | + | 40.6611i | 0.191924 | + | 1.39631i | ||||
\(849\) | 19.9949 | + | 44.8311i | 0.686223 | + | 1.53860i | ||||
\(850\) | 5.96965 | − | 0.937127i | 0.204757 | − | 0.0321432i | ||||
\(851\) | −7.11185 | + | 12.3181i | −0.243791 | + | 0.422258i | ||||
\(852\) | −23.4150 | − | 32.8869i | −0.802184 | − | 1.12669i | ||||
\(853\) | −2.05819 | + | 7.68128i | −0.0704712 | + | 0.263002i | −0.992168 | − | 0.124908i | \(-0.960136\pi\) |
0.921697 | + | 0.387910i | \(0.126803\pi\) | |||||||
\(854\) | −9.05500 | − | 2.73273i | −0.309856 | − | 0.0935121i | ||||
\(855\) | −13.1293 | + | 23.6195i | −0.449014 | + | 0.807770i | ||||
\(856\) | 17.7418 | + | 21.4311i | 0.606403 | + | 0.732501i | ||||
\(857\) | −30.3575 | − | 8.13427i | −1.03699 | − | 0.277861i | −0.300126 | − | 0.953900i | \(-0.597029\pi\) |
−0.736866 | + | 0.676038i | \(0.763695\pi\) | |||||||
\(858\) | −10.3465 | − | 25.2982i | −0.353224 | − | 0.863667i | ||||
\(859\) | −20.0780 | + | 34.7762i | −0.685054 | + | 1.18655i | 0.288366 | + | 0.957520i | \(0.406888\pi\) |
−0.973420 | + | 0.229028i | \(0.926445\pi\) | |||||||
\(860\) | 14.5996 | − | 20.2955i | 0.497841 | − | 0.692072i | ||||
\(861\) | 14.7333 | + | 10.6898i | 0.502109 | + | 0.364307i | ||||
\(862\) | 30.1581 | + | 18.6940i | 1.02719 | + | 0.636721i | ||||
\(863\) | −32.6439 | − | 32.6439i | −1.11121 | − | 1.11121i | −0.992987 | − | 0.118225i | \(-0.962280\pi\) |
−0.118225 | − | 0.992987i | \(-0.537720\pi\) | |||||||
\(864\) | 19.6133 | − | 21.8933i | 0.667258 | − | 0.744826i | ||||
\(865\) | −11.0528 | + | 5.84168i | −0.375807 | + | 0.198623i | ||||
\(866\) | 0.582822 | + | 2.48359i | 0.0198051 | + | 0.0843958i | ||||
\(867\) | 27.8301 | − | 4.42633i | 0.945161 | − | 0.150326i | ||||
\(868\) | 8.46112 | − | 25.1608i | 0.287189 | − | 0.854014i | ||||
\(869\) | 16.7435 | + | 9.66687i | 0.567985 | + | 0.327926i | ||||
\(870\) | 35.8148 | − | 42.8359i | 1.21424 | − | 1.45227i | ||||
\(871\) | 42.8066 | + | 74.1432i | 1.45045 | + | 2.51225i | ||||
\(872\) | −17.8267 | − | 1.67892i | −0.603687 | − | 0.0568553i | ||||
\(873\) | 0.0376708 | + | 0.701425i | 0.00127496 | + | 0.0237396i | ||||
\(874\) | −6.66928 | + | 22.0989i | −0.225592 | + | 0.747506i | ||||
\(875\) | 24.5322 | − | 10.7039i | 0.829341 | − | 0.361857i | ||||
\(876\) | 4.88059 | − | 29.0105i | 0.164900 | − | 0.980174i | ||||
\(877\) | 5.69928 | + | 21.2700i | 0.192451 | + | 0.718237i | 0.992912 | + | 0.118852i | \(0.0379214\pi\) |
−0.800461 | + | 0.599385i | \(0.795412\pi\) | |||||||
\(878\) | 0.962587 | − | 30.7425i | 0.0324857 | − | 1.03751i | ||||
\(879\) | 6.13120 | − | 2.73454i | 0.206800 | − | 0.0922339i | ||||
\(880\) | 14.4878 | − | 10.4043i | 0.488382 | − | 0.350729i | ||||
\(881\) | 27.1163i | 0.913572i | 0.889577 | + | 0.456786i | \(0.150999\pi\) | ||||
−0.889577 | + | 0.456786i | \(0.849001\pi\) | |||||||
\(882\) | 3.72028 | − | 3.89043i | 0.125268 | − | 0.130998i | ||||
\(883\) | 11.5694 | + | 11.5694i | 0.389342 | + | 0.389342i | 0.874453 | − | 0.485111i | \(-0.161221\pi\) |
−0.485111 | + | 0.874453i | \(0.661221\pi\) | |||||||
\(884\) | 9.54465 | + | 0.598297i | 0.321021 | + | 0.0201229i | ||||
\(885\) | 10.5315 | + | 26.2052i | 0.354014 | + | 0.880878i | ||||
\(886\) | −15.3132 | + | 14.3833i | −0.514455 | + | 0.483217i | ||||
\(887\) | −9.98804 | − | 37.2759i | −0.335366 | − | 1.25160i | −0.903472 | − | 0.428647i | \(-0.858991\pi\) |
0.568107 | − | 0.822955i | \(-0.307676\pi\) | |||||||
\(888\) | −12.9114 | − | 11.3602i | −0.433277 | − | 0.381222i | ||||
\(889\) | 13.2869 | − | 7.67119i | 0.445628 | − | 0.257284i | ||||
\(890\) | 3.57385 | + | 18.2767i | 0.119796 | + | 0.612636i | ||||
\(891\) | 16.4149 | + | 7.25753i | 0.549921 | + | 0.243136i | ||||
\(892\) | 4.79507 | + | 23.7528i | 0.160551 | + | 0.795301i | ||||
\(893\) | 11.1808 | + | 2.99590i | 0.374153 | + | 0.100254i | ||||
\(894\) | −34.2452 | − | 45.0451i | −1.14533 | − | 1.50653i | ||||
\(895\) | 7.53100 | + | 8.11638i | 0.251734 | + | 0.271301i | ||||
\(896\) | 14.5313 | + | 22.8570i | 0.485455 | + | 0.763597i | ||||
\(897\) | −24.7321 | − | 30.5013i | −0.825782 | − | 1.01841i | ||||
\(898\) | −20.6174 | + | 33.2610i | −0.688012 | + | 1.10993i | ||||
\(899\) | − | 56.5179i | − | 1.88498i | ||||||
\(900\) | 22.9131 | − | 19.3647i | 0.763770 | − | 0.645489i | ||||
\(901\) | − | 8.76866i | − | 0.292126i | ||||||
\(902\) | 10.5228 | + | 6.52272i | 0.350370 | + | 0.217183i | ||||
\(903\) | −8.29326 | + | 21.6465i | −0.275982 | + | 0.720352i | ||||
\(904\) | −26.9179 | + | 4.56237i | −0.895277 | + | 0.151742i | ||||
\(905\) | −21.3830 | − | 23.0450i | −0.710793 | − | 0.766043i | ||||
\(906\) | −1.62467 | − | 12.7822i | −0.0539760 | − | 0.424661i | ||||
\(907\) | −34.3934 | − | 9.21568i | −1.14201 | − | 0.306002i | −0.362253 | − | 0.932080i | \(-0.617992\pi\) |
−0.779760 | + | 0.626078i | \(0.784659\pi\) | |||||||
\(908\) | 27.8970 | − | 5.63168i | 0.925793 | − | 0.186894i | ||||
\(909\) | 19.8845 | + | 17.8576i | 0.659529 | + | 0.592298i | ||||
\(910\) | 41.5726 | − | 8.12917i | 1.37812 | − | 0.269479i | ||||
\(911\) | −0.801618 | + | 0.462814i | −0.0265588 | + | 0.0153337i | −0.513221 | − | 0.858257i | \(-0.671548\pi\) |
0.486662 | + | 0.873590i | \(0.338214\pi\) | |||||||
\(912\) | −24.6114 | − | 13.1615i | −0.814965 | − | 0.435820i | ||||
\(913\) | 0.434165 | + | 1.62033i | 0.0143688 | + | 0.0536250i | ||||
\(914\) | −29.0548 | − | 30.9331i | −0.961047 | − | 1.02318i | ||||
\(915\) | −10.7118 | − | 1.52555i | −0.354122 | − | 0.0504331i | ||||
\(916\) | 42.8209 | + | 2.68419i | 1.41484 | + | 0.0886880i | ||||
\(917\) | 14.7446 | + | 14.7446i | 0.486909 | + | 0.486909i | ||||
\(918\) | −4.78815 | + | 4.06321i | −0.158033 | + | 0.134106i | ||||
\(919\) | 23.1348i | 0.763148i | 0.924338 | + | 0.381574i | \(0.124618\pi\) | ||||
−0.924338 | + | 0.381574i | \(0.875382\pi\) | |||||||
\(920\) | 15.6082 | − | 20.3243i | 0.514587 | − | 0.670071i | ||||
\(921\) | 33.3508 | + | 24.1978i | 1.09894 | + | 0.797344i | ||||
\(922\) | 29.4524 | + | 0.922191i | 0.969962 | + | 0.0303707i | ||||
\(923\) | −16.8774 | − | 62.9874i | −0.555527 | − | 2.07325i | ||||
\(924\) | −10.5305 | + | 12.7520i | −0.346429 | + | 0.419509i | ||||
\(925\) | −11.4493 | − | 13.3039i | −0.376449 | − | 0.437430i | ||||
\(926\) | −43.7907 | − | 13.2157i | −1.43905 | − | 0.434295i | ||||
\(927\) | 1.02270 | + | 1.57036i | 0.0335898 | + | 0.0515774i | ||||
\(928\) | 44.8363 | + | 36.2651i | 1.47182 | + | 1.19046i | ||||
\(929\) | −8.73805 | − | 15.1347i | −0.286686 | − | 0.496555i | 0.686331 | − | 0.727290i | \(-0.259220\pi\) |
−0.973017 | + | 0.230735i | \(0.925887\pi\) | |||||||
\(930\) | 5.22028 | − | 29.9145i | 0.171180 | − | 0.980935i | ||||
\(931\) | −4.42635 | − | 2.55555i | −0.145068 | − | 0.0837549i | ||||
\(932\) | 4.73837 | − | 14.0905i | 0.155211 | − | 0.461550i | ||||
\(933\) | −0.0506869 | + | 0.132300i | −0.00165941 | + | 0.00433130i | ||||
\(934\) | 12.4356 | − | 2.91825i | 0.406905 | − | 0.0954881i | ||||
\(935\) | −3.36907 | + | 1.78063i | −0.110180 | + | 0.0582329i | ||||
\(936\) | 42.0396 | − | 22.0656i | 1.37411 | − | 0.721236i | ||||
\(937\) | −0.185684 | − | 0.185684i | −0.00606602 | − | 0.00606602i | 0.704067 | − | 0.710133i | \(-0.251365\pi\) |
−0.710133 | + | 0.704067i | \(0.751365\pi\) | |||||||
\(938\) | 27.2924 | − | 44.0294i | 0.891129 | − | 1.43761i | ||||
\(939\) | −2.09169 | + | 20.0258i | −0.0682598 | + | 0.653518i | ||||
\(940\) | −10.4317 | − | 7.50402i | −0.340244 | − | 0.244754i | ||||
\(941\) | −7.86409 | + | 13.6210i | −0.256362 | + | 0.444032i | −0.965265 | − | 0.261275i | \(-0.915857\pi\) |
0.708903 | + | 0.705306i | \(0.249191\pi\) | |||||||
\(942\) | 1.17081 | − | 8.59586i | 0.0381471 | − | 0.280068i | ||||
\(943\) | 17.1810 | + | 4.60362i | 0.559489 | + | 0.149915i | ||||
\(944\) | −26.8842 | + | 11.3156i | −0.875005 | + | 0.368291i | ||||
\(945\) | −15.9669 | + | 22.7766i | −0.519403 | + | 0.740924i | ||||
\(946\) | −4.55520 | + | 15.0938i | −0.148102 | + | 0.490742i | ||||
\(947\) | −5.51743 | + | 20.5913i | −0.179292 | + | 0.669128i | 0.816488 | + | 0.577362i | \(0.195918\pi\) |
−0.995781 | + | 0.0917659i | \(0.970749\pi\) | |||||||
\(948\) | −13.9538 | + | 30.5485i | −0.453198 | + | 0.992169i | ||||
\(949\) | 23.7589 | − | 41.1517i | 0.771247 | − | 1.33584i | ||||
\(950\) | −23.0220 | − | 16.7746i | −0.746932 | − | 0.544241i | ||||
\(951\) | 30.6270 | + | 3.19899i | 0.993150 | + | 0.103734i | ||||
\(952\) | −2.41064 | − | 5.26050i | −0.0781293 | − | 0.170494i | ||||
\(953\) | 14.8255 | + | 14.8255i | 0.480244 | + | 0.480244i | 0.905210 | − | 0.424965i | \(-0.139714\pi\) |
−0.424965 | + | 0.905210i | \(0.639714\pi\) | |||||||
\(954\) | −22.6038 | − | 37.2048i | −0.731824 | − | 1.20455i | ||||
\(955\) | −2.91316 | + | 9.44446i | −0.0942678 | + | 0.305616i | ||||
\(956\) | −25.0280 | − | 1.56886i | −0.809464 | − | 0.0507404i | ||||
\(957\) | −12.5972 | + | 32.8805i | −0.407210 | + | 1.06288i | ||||
\(958\) | −17.9257 | − | 0.561275i | −0.579152 | − | 0.0181340i | ||||
\(959\) | −15.2819 | + | 26.4690i | −0.493478 | + | 0.854728i | ||||
\(960\) | 20.3819 | + | 23.3362i | 0.657823 | + | 0.753172i | ||||
\(961\) | 0.131182 | + | 0.227213i | 0.00423166 | + | 0.00732946i | ||||
\(962\) | −13.1296 | − | 24.4798i | −0.423314 | − | 0.789259i | ||||
\(963\) | −26.3107 | − | 13.3631i | −0.847849 | − | 0.430619i | ||||
\(964\) | −1.88362 | + | 2.83649i | −0.0606673 | + | 0.0913572i | ||||
\(965\) | −0.883319 | − | 0.555018i | −0.0284350 | − | 0.0178667i | ||||
\(966\) | −9.19075 | + | 21.9107i | −0.295708 | + | 0.704964i | ||||
\(967\) | 10.4561 | − | 2.80172i | 0.336247 | − | 0.0900971i | −0.0867450 | − | 0.996231i | \(-0.527647\pi\) |
0.422992 | + | 0.906133i | \(0.360980\pi\) | |||||||
\(968\) | 11.5016 | − | 16.1961i | 0.369675 | − | 0.520564i | ||||
\(969\) | 4.82620 | + | 3.50167i | 0.155040 | + | 0.112490i | ||||
\(970\) | −0.738686 | − | 0.0508237i | −0.0237178 | − | 0.00163185i | ||||
\(971\) | −53.8929 | −1.72950 | −0.864752 | − | 0.502199i | \(-0.832525\pi\) | ||||
−0.864752 | + | 0.502199i | \(0.832525\pi\) | |||||||
\(972\) | −9.84168 | + | 29.5828i | −0.315672 | + | 0.948868i | ||||
\(973\) | −39.3439 | − | 39.3439i | −1.26131 | − | 1.26131i | ||||
\(974\) | 50.8337 | − | 11.9291i | 1.62882 | − | 0.382233i | ||||
\(975\) | 45.6066 | − | 16.3763i | 1.46058 | − | 0.524462i | ||||
\(976\) | 1.39547 | − | 11.0873i | 0.0446680 | − | 0.354895i | ||||
\(977\) | 11.8795 | + | 44.3349i | 0.380059 | + | 1.41840i | 0.845811 | + | 0.533483i | \(0.179117\pi\) |
−0.465752 | + | 0.884915i | \(0.654216\pi\) | |||||||
\(978\) | −2.11841 | − | 5.17972i | −0.0677393 | − | 0.165629i | ||||
\(979\) | −5.87196 | − | 10.1705i | −0.187669 | − | 0.325052i | ||||
\(980\) | 3.59162 | + | 4.39269i | 0.114730 | + | 0.140319i | ||||
\(981\) | 18.0546 | − | 5.89214i | 0.576438 | − | 0.188121i | ||||
\(982\) | −7.23179 | − | 13.4835i | −0.230776 | − | 0.430276i | ||||
\(983\) | 1.09093 | − | 4.07142i | 0.0347954 | − | 0.129858i | −0.946343 | − | 0.323163i | \(-0.895254\pi\) |
0.981139 | + | 0.193305i | \(0.0619206\pi\) | |||||||
\(984\) | −9.54319 | + | 19.2726i | −0.304226 | + | 0.614388i | ||||
\(985\) | 38.7329 | + | 1.44904i | 1.23413 | + | 0.0461701i | ||||
\(986\) | −8.43475 | − | 8.98003i | −0.268617 | − | 0.285982i | ||||
\(987\) | 11.1261 | + | 4.26264i | 0.354147 | + | 0.135681i | ||||
\(988\) | −29.8204 | − | 33.8090i | −0.948714 | − | 1.07561i | ||||
\(989\) | 22.6514i | 0.720273i | ||||||||
\(990\) | −9.70463 | + | 16.2399i | −0.308433 | + | 0.516137i | ||||
\(991\) | −14.4504 | −0.459033 | −0.229517 | − | 0.973305i | \(-0.573715\pi\) | ||||
−0.229517 | + | 0.973305i | \(0.573715\pi\) | |||||||
\(992\) | 30.9792 | + | 4.88838i | 0.983589 | + | 0.155206i | ||||
\(993\) | −3.10433 | − | 3.82846i | −0.0985129 | − | 0.121492i | ||||
\(994\) | −28.7593 | + | 27.0130i | −0.912191 | + | 0.856802i | ||||
\(995\) | −7.97527 | − | 8.59519i | −0.252833 | − | 0.272486i | ||||
\(996\) | −2.73030 | + | 1.01812i | −0.0865129 | + | 0.0322603i | ||||
\(997\) | −11.2250 | − | 3.00773i | −0.355499 | − | 0.0952558i | 0.0766494 | − | 0.997058i | \(-0.475578\pi\) |
−0.432149 | + | 0.901802i | \(0.642244\pi\) | |||||||
\(998\) | −5.74483 | − | 10.7111i | −0.181849 | − | 0.339054i | ||||
\(999\) | 17.3589 | + | 5.60301i | 0.549212 | + | 0.177272i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 360.2.br.e.77.19 | ✓ | 256 | |
5.3 | odd | 4 | inner | 360.2.br.e.293.54 | yes | 256 | |
8.5 | even | 2 | inner | 360.2.br.e.77.32 | yes | 256 | |
9.2 | odd | 6 | inner | 360.2.br.e.317.1 | yes | 256 | |
40.13 | odd | 4 | inner | 360.2.br.e.293.1 | yes | 256 | |
45.38 | even | 12 | inner | 360.2.br.e.173.32 | yes | 256 | |
72.29 | odd | 6 | inner | 360.2.br.e.317.54 | yes | 256 | |
360.173 | even | 12 | inner | 360.2.br.e.173.19 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.br.e.77.19 | ✓ | 256 | 1.1 | even | 1 | trivial | |
360.2.br.e.77.32 | yes | 256 | 8.5 | even | 2 | inner | |
360.2.br.e.173.19 | yes | 256 | 360.173 | even | 12 | inner | |
360.2.br.e.173.32 | yes | 256 | 45.38 | even | 12 | inner | |
360.2.br.e.293.1 | yes | 256 | 40.13 | odd | 4 | inner | |
360.2.br.e.293.54 | yes | 256 | 5.3 | odd | 4 | inner | |
360.2.br.e.317.1 | yes | 256 | 9.2 | odd | 6 | inner | |
360.2.br.e.317.54 | yes | 256 | 72.29 | odd | 6 | inner |