Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} - 3 x^{18} + 66 x^{17} - 163 x^{16} - 52 x^{15} + 1567 x^{14} - 6182 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 541.2 | ||
Root | \(-0.359204 + 0.230846i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.541 |
Dual form | 690.2.m.c.301.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0.142315 | − | 0.989821i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | −0.415415 | − | 0.909632i | −0.169592 | − | 0.371356i | ||||
\(7\) | 1.54913 | + | 1.78779i | 0.585515 | + | 0.675720i | 0.968781 | − | 0.247918i | \(-0.0797463\pi\) |
−0.383266 | + | 0.923638i | \(0.625201\pi\) | |||||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −0.654861 | + | 0.755750i | −0.207085 | + | 0.238989i | ||||
\(11\) | −1.62678 | − | 1.04547i | −0.490493 | − | 0.315221i | 0.271910 | − | 0.962323i | \(-0.412345\pi\) |
−0.762404 | + | 0.647102i | \(0.775981\pi\) | |||||||
\(12\) | −0.841254 | − | 0.540641i | −0.242849 | − | 0.156070i | ||||
\(13\) | 3.97412 | − | 4.58638i | 1.10222 | − | 1.27203i | 0.142895 | − | 0.989738i | \(-0.454359\pi\) |
0.959328 | − | 0.282295i | \(-0.0910955\pi\) | |||||||
\(14\) | 2.26976 | + | 0.666461i | 0.606618 | + | 0.178119i | ||||
\(15\) | 0.142315 | + | 0.989821i | 0.0367455 | + | 0.255571i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −2.45190 | − | 5.36891i | −0.594673 | − | 1.30215i | −0.932577 | − | 0.360972i | \(-0.882445\pi\) |
0.337903 | − | 0.941181i | \(-0.390282\pi\) | |||||||
\(18\) | −0.959493 | + | 0.281733i | −0.226155 | + | 0.0664050i | ||||
\(19\) | 3.60485 | − | 7.89352i | 0.827010 | − | 1.81090i | 0.326372 | − | 0.945241i | \(-0.394174\pi\) |
0.500638 | − | 0.865657i | \(-0.333099\pi\) | |||||||
\(20\) | −0.142315 | + | 0.989821i | −0.0318226 | + | 0.221331i | ||||
\(21\) | 1.99005 | − | 1.27893i | 0.434265 | − | 0.279085i | ||||
\(22\) | −1.93376 | −0.412279 | ||||||||
\(23\) | 2.20490 | + | 4.25892i | 0.459754 | + | 0.888047i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 0.863659 | − | 6.00688i | 0.169377 | − | 1.17805i | ||||
\(27\) | −0.415415 | + | 0.909632i | −0.0799467 | + | 0.175059i | ||||
\(28\) | 2.26976 | − | 0.666461i | 0.428944 | − | 0.125949i | ||||
\(29\) | 2.26162 | + | 4.95225i | 0.419972 | + | 0.919611i | 0.994849 | + | 0.101370i | \(0.0323227\pi\) |
−0.574877 | + | 0.818240i | \(0.694950\pi\) | |||||||
\(30\) | 0.654861 | + | 0.755750i | 0.119561 | + | 0.137980i | ||||
\(31\) | −0.123935 | − | 0.861987i | −0.0222594 | − | 0.154817i | 0.975660 | − | 0.219288i | \(-0.0703733\pi\) |
−0.997920 | + | 0.0644702i | \(0.979464\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | −1.26634 | + | 1.46144i | −0.220442 | + | 0.254404i | ||||
\(34\) | −4.96532 | − | 3.19102i | −0.851546 | − | 0.547255i | ||||
\(35\) | −1.99005 | − | 1.27893i | −0.336380 | − | 0.216179i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | −5.29079 | − | 1.55352i | −0.869801 | − | 0.255396i | −0.183770 | − | 0.982969i | \(-0.558830\pi\) |
−0.686031 | + | 0.727573i | \(0.740648\pi\) | |||||||
\(38\) | −1.23497 | − | 8.58938i | −0.200338 | − | 1.39338i | ||||
\(39\) | −3.97412 | − | 4.58638i | −0.636368 | − | 0.734408i | ||||
\(40\) | 0.415415 | + | 0.909632i | 0.0656829 | + | 0.143825i | ||||
\(41\) | −4.21153 | + | 1.23662i | −0.657731 | + | 0.193127i | −0.593533 | − | 0.804810i | \(-0.702267\pi\) |
−0.0641982 | + | 0.997937i | \(0.520449\pi\) | |||||||
\(42\) | 0.982698 | − | 2.15181i | 0.151634 | − | 0.332031i | ||||
\(43\) | −1.59352 | + | 11.0832i | −0.243010 | + | 1.69017i | 0.393839 | + | 0.919180i | \(0.371147\pi\) |
−0.636848 | + | 0.770989i | \(0.719762\pi\) | |||||||
\(44\) | −1.62678 | + | 1.04547i | −0.245247 | + | 0.157610i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 4.15743 | + | 2.39077i | 0.612979 | + | 0.352500i | ||||
\(47\) | −0.306240 | −0.0446697 | −0.0223349 | − | 0.999751i | \(-0.507110\pi\) | ||||
−0.0223349 | + | 0.999751i | \(0.507110\pi\) | |||||||
\(48\) | −0.841254 | + | 0.540641i | −0.121424 | + | 0.0780348i | ||||
\(49\) | 0.199814 | − | 1.38973i | 0.0285448 | − | 0.198534i | ||||
\(50\) | 0.415415 | − | 0.909632i | 0.0587486 | − | 0.128641i | ||||
\(51\) | −5.66321 | + | 1.66287i | −0.793008 | + | 0.232848i | ||||
\(52\) | −2.52101 | − | 5.52024i | −0.349601 | − | 0.765519i | ||||
\(53\) | 4.65460 | + | 5.37169i | 0.639358 | + | 0.737858i | 0.979261 | − | 0.202602i | \(-0.0649398\pi\) |
−0.339903 | + | 0.940460i | \(0.610394\pi\) | |||||||
\(54\) | 0.142315 | + | 0.989821i | 0.0193666 | + | 0.134698i | ||||
\(55\) | 1.85543 | + | 0.544803i | 0.250186 | + | 0.0734612i | ||||
\(56\) | 1.54913 | − | 1.78779i | 0.207011 | − | 0.238903i | ||||
\(57\) | −7.30015 | − | 4.69152i | −0.966929 | − | 0.621408i | ||||
\(58\) | 4.57999 | + | 2.94338i | 0.601382 | + | 0.386484i | ||||
\(59\) | 2.26729 | − | 2.61659i | 0.295176 | − | 0.340652i | −0.588718 | − | 0.808339i | \(-0.700367\pi\) |
0.883894 | + | 0.467687i | \(0.154913\pi\) | |||||||
\(60\) | 0.959493 | + | 0.281733i | 0.123870 | + | 0.0363715i | ||||
\(61\) | 1.80512 | + | 12.5549i | 0.231122 | + | 1.60749i | 0.693264 | + | 0.720684i | \(0.256172\pi\) |
−0.462142 | + | 0.886806i | \(0.652919\pi\) | |||||||
\(62\) | −0.570286 | − | 0.658145i | −0.0724264 | − | 0.0835846i | ||||
\(63\) | −0.982698 | − | 2.15181i | −0.123808 | − | 0.271102i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −2.52101 | + | 5.52024i | −0.312692 | + | 0.684701i | ||||
\(66\) | −0.275203 | + | 1.91408i | −0.0338751 | + | 0.235607i | ||||
\(67\) | 8.25507 | − | 5.30521i | 1.00852 | − | 0.648135i | 0.0715087 | − | 0.997440i | \(-0.477219\pi\) |
0.937009 | + | 0.349305i | \(0.113582\pi\) | |||||||
\(68\) | −5.90229 | −0.715758 | ||||||||
\(69\) | 4.52936 | − | 1.57635i | 0.545271 | − | 0.189770i | ||||
\(70\) | −2.36558 | −0.282741 | ||||||||
\(71\) | 3.04921 | − | 1.95961i | 0.361875 | − | 0.232563i | −0.347050 | − | 0.937847i | \(-0.612817\pi\) |
0.708925 | + | 0.705284i | \(0.249180\pi\) | |||||||
\(72\) | −0.142315 | + | 0.989821i | −0.0167720 | + | 0.116652i | ||||
\(73\) | 1.63456 | − | 3.57920i | 0.191311 | − | 0.418913i | −0.789533 | − | 0.613709i | \(-0.789677\pi\) |
0.980844 | + | 0.194795i | \(0.0624042\pi\) | |||||||
\(74\) | −5.29079 | + | 1.55352i | −0.615042 | + | 0.180593i | ||||
\(75\) | −0.415415 | − | 0.909632i | −0.0479680 | − | 0.105035i | ||||
\(76\) | −5.68269 | − | 6.55818i | −0.651849 | − | 0.752274i | ||||
\(77\) | −0.651014 | − | 4.52790i | −0.0741900 | − | 0.516003i | ||||
\(78\) | −5.82283 | − | 1.70974i | −0.659305 | − | 0.193589i | ||||
\(79\) | −3.55823 | + | 4.10642i | −0.400333 | + | 0.462008i | −0.919746 | − | 0.392515i | \(-0.871605\pi\) |
0.519413 | + | 0.854523i | \(0.326151\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −2.87440 | + | 3.31723i | −0.317424 | + | 0.366327i | ||||
\(83\) | −3.72729 | − | 1.09443i | −0.409124 | − | 0.120130i | 0.0706935 | − | 0.997498i | \(-0.477479\pi\) |
−0.479817 | + | 0.877369i | \(0.659297\pi\) | |||||||
\(84\) | −0.336657 | − | 2.34150i | −0.0367323 | − | 0.255479i | ||||
\(85\) | 3.86518 | + | 4.46066i | 0.419238 | + | 0.483826i | ||||
\(86\) | 4.65146 | + | 10.1853i | 0.501580 | + | 1.09831i | ||||
\(87\) | 5.22371 | − | 1.53382i | 0.560040 | − | 0.164443i | ||||
\(88\) | −0.803313 | + | 1.75901i | −0.0856334 | + | 0.187511i | ||||
\(89\) | −1.50084 | + | 10.4386i | −0.159089 | + | 1.10649i | 0.741228 | + | 0.671253i | \(0.234244\pi\) |
−0.900317 | + | 0.435234i | \(0.856666\pi\) | |||||||
\(90\) | 0.841254 | − | 0.540641i | 0.0886759 | − | 0.0569885i | ||||
\(91\) | 14.3559 | 1.50491 | ||||||||
\(92\) | 4.79000 | − | 0.236428i | 0.499392 | − | 0.0246493i | ||||
\(93\) | −0.870851 | −0.0903031 | ||||||||
\(94\) | −0.257626 | + | 0.165566i | −0.0265721 | + | 0.0170768i | ||||
\(95\) | −1.23497 | + | 8.58938i | −0.126705 | + | 0.881252i | ||||
\(96\) | −0.415415 | + | 0.909632i | −0.0423981 | + | 0.0928389i | ||||
\(97\) | 4.16125 | − | 1.22185i | 0.422511 | − | 0.124061i | −0.0635633 | − | 0.997978i | \(-0.520246\pi\) |
0.486075 | + | 0.873917i | \(0.338428\pi\) | |||||||
\(98\) | −0.583253 | − | 1.27715i | −0.0589175 | − | 0.129011i | ||||
\(99\) | 1.26634 | + | 1.46144i | 0.127272 | + | 0.146880i | ||||
\(100\) | −0.142315 | − | 0.989821i | −0.0142315 | − | 0.0989821i | ||||
\(101\) | 14.8735 | + | 4.36724i | 1.47996 | + | 0.434557i | 0.919324 | − | 0.393503i | \(-0.128737\pi\) |
0.560641 | + | 0.828059i | \(0.310555\pi\) | |||||||
\(102\) | −3.86518 | + | 4.46066i | −0.382710 | + | 0.441671i | ||||
\(103\) | −0.959972 | − | 0.616937i | −0.0945888 | − | 0.0607886i | 0.492491 | − | 0.870317i | \(-0.336086\pi\) |
−0.587080 | + | 0.809529i | \(0.699723\pi\) | |||||||
\(104\) | −5.10527 | − | 3.28096i | −0.500613 | − | 0.321724i | ||||
\(105\) | −1.54913 | + | 1.78779i | −0.151179 | + | 0.174470i | ||||
\(106\) | 6.81985 | + | 2.00249i | 0.662403 | + | 0.194499i | ||||
\(107\) | −1.20688 | − | 8.39401i | −0.116673 | − | 0.811480i | −0.961177 | − | 0.275931i | \(-0.911014\pi\) |
0.844504 | − | 0.535549i | \(-0.179895\pi\) | |||||||
\(108\) | 0.654861 | + | 0.755750i | 0.0630140 | + | 0.0727220i | ||||
\(109\) | 4.98441 | + | 10.9143i | 0.477420 | + | 1.04540i | 0.983165 | + | 0.182720i | \(0.0584903\pi\) |
−0.505745 | + | 0.862683i | \(0.668782\pi\) | |||||||
\(110\) | 1.85543 | − | 0.544803i | 0.176908 | − | 0.0519449i | ||||
\(111\) | −2.29066 | + | 5.01585i | −0.217420 | + | 0.476083i | ||||
\(112\) | 0.336657 | − | 2.34150i | 0.0318111 | − | 0.221251i | ||||
\(113\) | −15.2523 | + | 9.80207i | −1.43482 | + | 0.922101i | −0.435053 | + | 0.900405i | \(0.643270\pi\) |
−0.999765 | + | 0.0216960i | \(0.993093\pi\) | |||||||
\(114\) | −8.67771 | −0.812742 | ||||||||
\(115\) | −3.31546 | − | 3.46521i | −0.309169 | − | 0.323133i | ||||
\(116\) | 5.44424 | 0.505485 | ||||||||
\(117\) | −5.10527 | + | 3.28096i | −0.471983 | + | 0.303325i | ||||
\(118\) | 0.492730 | − | 3.42701i | 0.0453594 | − | 0.315482i | ||||
\(119\) | 5.80017 | − | 12.7006i | 0.531701 | − | 1.16426i | ||||
\(120\) | 0.959493 | − | 0.281733i | 0.0875893 | − | 0.0257185i | ||||
\(121\) | −3.01615 | − | 6.60445i | −0.274196 | − | 0.600405i | ||||
\(122\) | 8.30625 | + | 9.58593i | 0.752013 | + | 0.867869i | ||||
\(123\) | 0.624667 | + | 4.34465i | 0.0563243 | + | 0.391744i | ||||
\(124\) | −0.835576 | − | 0.245347i | −0.0750369 | − | 0.0220328i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | −1.99005 | − | 1.27893i | −0.177288 | − | 0.113936i | ||||
\(127\) | −2.59811 | − | 1.66970i | −0.230545 | − | 0.148162i | 0.420269 | − | 0.907400i | \(-0.361936\pi\) |
−0.650814 | + | 0.759237i | \(0.725572\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | 10.7436 | + | 3.15460i | 0.945920 | + | 0.277747i | ||||
\(130\) | 0.863659 | + | 6.00688i | 0.0757479 | + | 0.526838i | ||||
\(131\) | 9.84731 | + | 11.3644i | 0.860363 | + | 0.992912i | 0.999996 | + | 0.00270877i | \(0.000862229\pi\) |
−0.139633 | + | 0.990203i | \(0.544592\pi\) | |||||||
\(132\) | 0.803313 | + | 1.75901i | 0.0699194 | + | 0.153102i | ||||
\(133\) | 19.6963 | − | 5.78336i | 1.70789 | − | 0.501481i | ||||
\(134\) | 4.07640 | − | 8.92606i | 0.352147 | − | 0.771094i | ||||
\(135\) | 0.142315 | − | 0.989821i | 0.0122485 | − | 0.0851903i | ||||
\(136\) | −4.96532 | + | 3.19102i | −0.425773 | + | 0.273628i | ||||
\(137\) | −19.4446 | −1.66127 | −0.830633 | − | 0.556821i | \(-0.812021\pi\) | ||||
−0.830633 | + | 0.556821i | \(0.812021\pi\) | |||||||
\(138\) | 2.95810 | − | 3.77487i | 0.251810 | − | 0.321338i | ||||
\(139\) | 2.62788 | 0.222894 | 0.111447 | − | 0.993770i | \(-0.464452\pi\) | ||||
0.111447 | + | 0.993770i | \(0.464452\pi\) | |||||||
\(140\) | −1.99005 | + | 1.27893i | −0.168190 | + | 0.108089i | ||||
\(141\) | −0.0435825 | + | 0.303123i | −0.00367031 | + | 0.0255276i | ||||
\(142\) | 1.50572 | − | 3.29706i | 0.126357 | − | 0.276683i | ||||
\(143\) | −11.2599 | + | 3.30622i | −0.941604 | + | 0.276480i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | −3.56522 | − | 4.11448i | −0.296075 | − | 0.341689i | ||||
\(146\) | −0.559977 | − | 3.89472i | −0.0463440 | − | 0.322330i | ||||
\(147\) | −1.34715 | − | 0.395560i | −0.111111 | − | 0.0326252i | ||||
\(148\) | −3.61100 | + | 4.16732i | −0.296823 | + | 0.342551i | ||||
\(149\) | −0.874541 | − | 0.562033i | −0.0716452 | − | 0.0460436i | 0.504328 | − | 0.863512i | \(-0.331740\pi\) |
−0.575973 | + | 0.817469i | \(0.695377\pi\) | |||||||
\(150\) | −0.841254 | − | 0.540641i | −0.0686881 | − | 0.0441431i | ||||
\(151\) | 12.3623 | − | 14.2669i | 1.00603 | − | 1.16102i | 0.0191118 | − | 0.999817i | \(-0.493916\pi\) |
0.986921 | − | 0.161206i | \(-0.0515384\pi\) | |||||||
\(152\) | −8.32620 | − | 2.44479i | −0.675344 | − | 0.198299i | ||||
\(153\) | 0.839984 | + | 5.84222i | 0.0679087 | + | 0.472315i | ||||
\(154\) | −2.99564 | − | 3.45715i | −0.241395 | − | 0.278585i | ||||
\(155\) | 0.361765 | + | 0.792154i | 0.0290576 | + | 0.0636273i | ||||
\(156\) | −5.82283 | + | 1.70974i | −0.466199 | + | 0.136888i | ||||
\(157\) | −3.25537 | + | 7.12827i | −0.259807 | + | 0.568898i | −0.993917 | − | 0.110133i | \(-0.964872\pi\) |
0.734110 | + | 0.679031i | \(0.237600\pi\) | |||||||
\(158\) | −0.773278 | + | 5.37827i | −0.0615187 | + | 0.427872i | ||||
\(159\) | 5.97943 | − | 3.84275i | 0.474200 | − | 0.304750i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −4.19838 | + | 10.5395i | −0.330878 | + | 0.830629i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 1.39755 | − | 0.898152i | 0.109465 | − | 0.0703487i | −0.484763 | − | 0.874646i | \(-0.661094\pi\) |
0.594228 | + | 0.804297i | \(0.297458\pi\) | |||||||
\(164\) | −0.624667 | + | 4.34465i | −0.0487783 | + | 0.339260i | ||||
\(165\) | 0.803313 | − | 1.75901i | 0.0625378 | − | 0.136939i | ||||
\(166\) | −3.72729 | + | 1.09443i | −0.289294 | + | 0.0849444i | ||||
\(167\) | −5.01459 | − | 10.9804i | −0.388041 | − | 0.849691i | −0.998344 | − | 0.0575233i | \(-0.981680\pi\) |
0.610303 | − | 0.792168i | \(-0.291048\pi\) | |||||||
\(168\) | −1.54913 | − | 1.78779i | −0.119518 | − | 0.137931i | ||||
\(169\) | −3.39115 | − | 23.5859i | −0.260857 | − | 1.81430i | ||||
\(170\) | 5.66321 | + | 1.66287i | 0.434348 | + | 0.127536i | ||||
\(171\) | −5.68269 | + | 6.55818i | −0.434566 | + | 0.501516i | ||||
\(172\) | 9.41964 | + | 6.05363i | 0.718241 | + | 0.461585i | ||||
\(173\) | −18.8182 | − | 12.0937i | −1.43072 | − | 0.919470i | −0.999855 | − | 0.0170557i | \(-0.994571\pi\) |
−0.430869 | − | 0.902414i | \(-0.641793\pi\) | |||||||
\(174\) | 3.56522 | − | 4.11448i | 0.270279 | − | 0.311918i | ||||
\(175\) | 2.26976 | + | 0.666461i | 0.171578 | + | 0.0503797i | ||||
\(176\) | 0.275203 | + | 1.91408i | 0.0207442 | + | 0.144279i | ||||
\(177\) | −2.26729 | − | 2.61659i | −0.170420 | − | 0.196675i | ||||
\(178\) | 4.38093 | + | 9.59291i | 0.328365 | + | 0.719019i | ||||
\(179\) | 10.5210 | − | 3.08926i | 0.786379 | − | 0.230902i | 0.136199 | − | 0.990682i | \(-0.456511\pi\) |
0.650181 | + | 0.759780i | \(0.274693\pi\) | |||||||
\(180\) | 0.415415 | − | 0.909632i | 0.0309632 | − | 0.0678000i | ||||
\(181\) | −2.90131 | + | 20.1791i | −0.215653 | + | 1.49990i | 0.538179 | + | 0.842830i | \(0.319112\pi\) |
−0.753832 | + | 0.657067i | \(0.771797\pi\) | |||||||
\(182\) | 12.0769 | − | 7.76137i | 0.895202 | − | 0.575311i | ||||
\(183\) | 12.6840 | 0.937628 | ||||||||
\(184\) | 3.90178 | − | 2.78857i | 0.287643 | − | 0.205576i | ||||
\(185\) | 5.51415 | 0.405409 | ||||||||
\(186\) | −0.732607 | + | 0.470818i | −0.0537173 | + | 0.0345220i | ||||
\(187\) | −1.62433 | + | 11.2974i | −0.118783 | + | 0.826151i | ||||
\(188\) | −0.127217 | + | 0.278566i | −0.00927824 | + | 0.0203165i | ||||
\(189\) | −2.26976 | + | 0.666461i | −0.165101 | + | 0.0484779i | ||||
\(190\) | 3.60485 | + | 7.89352i | 0.261523 | + | 0.572656i | ||||
\(191\) | 12.6019 | + | 14.5434i | 0.911841 | + | 1.05232i | 0.998426 | + | 0.0560762i | \(0.0178590\pi\) |
−0.0865855 | + | 0.996244i | \(0.527596\pi\) | |||||||
\(192\) | 0.142315 | + | 0.989821i | 0.0102707 | + | 0.0714342i | ||||
\(193\) | 4.83087 | + | 1.41847i | 0.347733 | + | 0.102104i | 0.450935 | − | 0.892557i | \(-0.351091\pi\) |
−0.103202 | + | 0.994660i | \(0.532909\pi\) | |||||||
\(194\) | 2.84009 | − | 3.27763i | 0.203906 | − | 0.235320i | ||||
\(195\) | 5.10527 | + | 3.28096i | 0.365596 | + | 0.234954i | ||||
\(196\) | −1.18114 | − | 0.759074i | −0.0843673 | − | 0.0542195i | ||||
\(197\) | −10.0796 | + | 11.6325i | −0.718141 | + | 0.828779i | −0.991082 | − | 0.133252i | \(-0.957458\pi\) |
0.272941 | + | 0.962031i | \(0.412004\pi\) | |||||||
\(198\) | 1.85543 | + | 0.544803i | 0.131860 | + | 0.0387175i | ||||
\(199\) | 2.28126 | + | 15.8665i | 0.161714 | + | 1.12475i | 0.895402 | + | 0.445259i | \(0.146888\pi\) |
−0.733688 | + | 0.679487i | \(0.762202\pi\) | |||||||
\(200\) | −0.654861 | − | 0.755750i | −0.0463056 | − | 0.0534396i | ||||
\(201\) | −4.07640 | − | 8.92606i | −0.287527 | − | 0.629596i | ||||
\(202\) | 14.8735 | − | 4.36724i | 1.04649 | − | 0.307278i | ||||
\(203\) | −5.35004 | + | 11.7150i | −0.375499 | + | 0.822229i | ||||
\(204\) | −0.839984 | + | 5.84222i | −0.0588106 | + | 0.409037i | ||||
\(205\) | 3.69254 | − | 2.37305i | 0.257898 | − | 0.165741i | ||||
\(206\) | −1.14112 | −0.0795057 | ||||||||
\(207\) | −0.915710 | − | 4.70760i | −0.0636462 | − | 0.327201i | ||||
\(208\) | −6.06865 | −0.420785 | ||||||||
\(209\) | −14.1167 | + | 9.07228i | −0.976476 | + | 0.627543i | ||||
\(210\) | −0.336657 | + | 2.34150i | −0.0232316 | + | 0.161579i | ||||
\(211\) | −8.23589 | + | 18.0341i | −0.566982 | + | 1.24152i | 0.381406 | + | 0.924407i | \(0.375440\pi\) |
−0.948389 | + | 0.317110i | \(0.897287\pi\) | |||||||
\(212\) | 6.81985 | − | 2.00249i | 0.468389 | − | 0.137532i | ||||
\(213\) | −1.50572 | − | 3.29706i | −0.103170 | − | 0.225911i | ||||
\(214\) | −5.55344 | − | 6.40901i | −0.379625 | − | 0.438111i | ||||
\(215\) | −1.59352 | − | 11.0832i | −0.108677 | − | 0.755866i | ||||
\(216\) | 0.959493 | + | 0.281733i | 0.0652852 | + | 0.0191695i | ||||
\(217\) | 1.34906 | − | 1.55690i | 0.0915801 | − | 0.105689i | ||||
\(218\) | 10.0939 | + | 6.48695i | 0.683644 | + | 0.439351i | ||||
\(219\) | −3.31014 | − | 2.12730i | −0.223679 | − | 0.143750i | ||||
\(220\) | 1.26634 | − | 1.46144i | 0.0853768 | − | 0.0985301i | ||||
\(221\) | −34.3680 | − | 10.0914i | −2.31184 | − | 0.678818i | ||||
\(222\) | 0.784746 | + | 5.45803i | 0.0526687 | + | 0.366319i | ||||
\(223\) | 13.5527 | + | 15.6406i | 0.907555 | + | 1.04737i | 0.998671 | + | 0.0515342i | \(0.0164111\pi\) |
−0.0911161 | + | 0.995840i | \(0.529043\pi\) | |||||||
\(224\) | −0.982698 | − | 2.15181i | −0.0656593 | − | 0.143774i | ||||
\(225\) | −0.959493 | + | 0.281733i | −0.0639662 | + | 0.0187822i | ||||
\(226\) | −7.53167 | + | 16.4920i | −0.500999 | + | 1.09703i | ||||
\(227\) | 3.84330 | − | 26.7308i | 0.255089 | − | 1.77418i | −0.311562 | − | 0.950226i | \(-0.600852\pi\) |
0.566651 | − | 0.823958i | \(-0.308239\pi\) | |||||||
\(228\) | −7.30015 | + | 4.69152i | −0.483465 | + | 0.310704i | ||||
\(229\) | −24.1932 | −1.59873 | −0.799366 | − | 0.600844i | \(-0.794831\pi\) | ||||
−0.799366 | + | 0.600844i | \(0.794831\pi\) | |||||||
\(230\) | −4.66258 | − | 1.12265i | −0.307441 | − | 0.0740252i | ||||
\(231\) | −4.57447 | −0.300978 | ||||||||
\(232\) | 4.57999 | − | 2.94338i | 0.300691 | − | 0.193242i | ||||
\(233\) | −0.441041 | + | 3.06751i | −0.0288936 | + | 0.200959i | −0.999155 | − | 0.0411001i | \(-0.986914\pi\) |
0.970261 | + | 0.242059i | \(0.0778228\pi\) | |||||||
\(234\) | −2.52101 | + | 5.52024i | −0.164803 | + | 0.360869i | ||||
\(235\) | 0.293835 | − | 0.0862778i | 0.0191677 | − | 0.00562815i | ||||
\(236\) | −1.43827 | − | 3.14937i | −0.0936235 | − | 0.205007i | ||||
\(237\) | 3.55823 | + | 4.10642i | 0.231132 | + | 0.266741i | ||||
\(238\) | −1.98705 | − | 13.8202i | −0.128801 | − | 0.895833i | ||||
\(239\) | −1.19283 | − | 0.350247i | −0.0771579 | − | 0.0226556i | 0.242926 | − | 0.970045i | \(-0.421893\pi\) |
−0.320084 | + | 0.947389i | \(0.603711\pi\) | |||||||
\(240\) | 0.654861 | − | 0.755750i | 0.0422711 | − | 0.0487834i | ||||
\(241\) | 20.5486 | + | 13.2058i | 1.32365 | + | 0.850661i | 0.995573 | − | 0.0939892i | \(-0.0299619\pi\) |
0.328081 | + | 0.944650i | \(0.393598\pi\) | |||||||
\(242\) | −6.10798 | − | 3.92536i | −0.392636 | − | 0.252332i | ||||
\(243\) | 0.654861 | − | 0.755750i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | 12.1702 | + | 3.57350i | 0.779118 | + | 0.228770i | ||||
\(245\) | 0.199814 | + | 1.38973i | 0.0127656 | + | 0.0887869i | ||||
\(246\) | 2.87440 | + | 3.31723i | 0.183265 | + | 0.211499i | ||||
\(247\) | −21.8766 | − | 47.9030i | −1.39197 | − | 3.04800i | ||||
\(248\) | −0.835576 | + | 0.245347i | −0.0530591 | + | 0.0155796i | ||||
\(249\) | −1.61374 | + | 3.53360i | −0.102267 | + | 0.223933i | ||||
\(250\) | −0.142315 | + | 0.989821i | −0.00900078 | + | 0.0626018i | ||||
\(251\) | 5.94552 | − | 3.82095i | 0.375278 | − | 0.241176i | −0.339382 | − | 0.940649i | \(-0.610218\pi\) |
0.714660 | + | 0.699472i | \(0.246582\pi\) | |||||||
\(252\) | −2.36558 | −0.149018 | ||||||||
\(253\) | 0.865680 | − | 9.23349i | 0.0544248 | − | 0.580505i | ||||
\(254\) | −3.08838 | −0.193782 | ||||||||
\(255\) | 4.96532 | − | 3.19102i | 0.310941 | − | 0.199829i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 0.104424 | − | 0.228658i | 0.00651382 | − | 0.0142633i | −0.906347 | − | 0.422534i | \(-0.861141\pi\) |
0.912861 | + | 0.408271i | \(0.133868\pi\) | |||||||
\(258\) | 10.7436 | − | 3.15460i | 0.668866 | − | 0.196397i | ||||
\(259\) | −5.41875 | − | 11.8654i | −0.336704 | − | 0.737280i | ||||
\(260\) | 3.97412 | + | 4.58638i | 0.246464 | + | 0.284435i | ||||
\(261\) | −0.774796 | − | 5.38882i | −0.0479587 | − | 0.333560i | ||||
\(262\) | 14.4281 | + | 4.23648i | 0.891373 | + | 0.261731i | ||||
\(263\) | 8.46439 | − | 9.76843i | 0.521937 | − | 0.602347i | −0.432178 | − | 0.901788i | \(-0.642255\pi\) |
0.954115 | + | 0.299441i | \(0.0968003\pi\) | |||||||
\(264\) | 1.62678 | + | 1.04547i | 0.100122 | + | 0.0643442i | ||||
\(265\) | −5.97943 | − | 3.84275i | −0.367314 | − | 0.236058i | ||||
\(266\) | 13.4429 | − | 15.5139i | 0.824235 | − | 0.951218i | ||||
\(267\) | 10.1187 | + | 2.97113i | 0.619257 | + | 0.181830i | ||||
\(268\) | −1.39651 | − | 9.71295i | −0.0853055 | − | 0.593313i | ||||
\(269\) | −6.79047 | − | 7.83662i | −0.414022 | − | 0.477807i | 0.509984 | − | 0.860184i | \(-0.329651\pi\) |
−0.924007 | + | 0.382377i | \(0.875106\pi\) | |||||||
\(270\) | −0.415415 | − | 0.909632i | −0.0252814 | − | 0.0553584i | ||||
\(271\) | 19.0546 | − | 5.59494i | 1.15749 | − | 0.339868i | 0.354031 | − | 0.935234i | \(-0.384811\pi\) |
0.803455 | + | 0.595365i | \(0.202993\pi\) | |||||||
\(272\) | −2.45190 | + | 5.36891i | −0.148668 | + | 0.325538i | ||||
\(273\) | 2.04305 | − | 14.2098i | 0.123651 | − | 0.860014i | ||||
\(274\) | −16.3578 | + | 10.5126i | −0.988214 | + | 0.635086i | ||||
\(275\) | −1.93376 | −0.116610 | ||||||||
\(276\) | 0.447667 | − | 4.77489i | 0.0269464 | − | 0.287415i | ||||
\(277\) | −11.6528 | −0.700148 | −0.350074 | − | 0.936722i | \(-0.613843\pi\) | ||||
−0.350074 | + | 0.936722i | \(0.613843\pi\) | |||||||
\(278\) | 2.21071 | − | 1.42074i | 0.132590 | − | 0.0852102i | ||||
\(279\) | −0.123935 | + | 0.861987i | −0.00741980 | + | 0.0516058i | ||||
\(280\) | −0.982698 | + | 2.15181i | −0.0587274 | + | 0.128595i | ||||
\(281\) | 21.2257 | − | 6.23243i | 1.26622 | − | 0.371796i | 0.421414 | − | 0.906869i | \(-0.361534\pi\) |
0.844806 | + | 0.535073i | \(0.179716\pi\) | |||||||
\(282\) | 0.127217 | + | 0.278566i | 0.00757565 | + | 0.0165884i | ||||
\(283\) | 13.4840 | + | 15.5614i | 0.801541 | + | 0.925028i | 0.998465 | − | 0.0553907i | \(-0.0176404\pi\) |
−0.196923 | + | 0.980419i | \(0.563095\pi\) | |||||||
\(284\) | −0.515835 | − | 3.58771i | −0.0306092 | − | 0.212892i | ||||
\(285\) | 8.32620 | + | 2.44479i | 0.493202 | + | 0.144817i | ||||
\(286\) | −7.68499 | + | 8.86895i | −0.454423 | + | 0.524432i | ||||
\(287\) | −8.73500 | − | 5.61365i | −0.515611 | − | 0.331363i | ||||
\(288\) | 0.841254 | + | 0.540641i | 0.0495713 | + | 0.0318576i | ||||
\(289\) | −11.6808 | + | 13.4803i | −0.687105 | + | 0.792962i | ||||
\(290\) | −5.22371 | − | 1.53382i | −0.306747 | − | 0.0900690i | ||||
\(291\) | −0.617210 | − | 4.29279i | −0.0361815 | − | 0.251648i | ||||
\(292\) | −2.57673 | − | 2.97370i | −0.150792 | − | 0.174023i | ||||
\(293\) | −0.139397 | − | 0.305236i | −0.00814364 | − | 0.0178321i | 0.905516 | − | 0.424311i | \(-0.139484\pi\) |
−0.913660 | + | 0.406479i | \(0.866756\pi\) | |||||||
\(294\) | −1.34715 | + | 0.395560i | −0.0785675 | + | 0.0230695i | ||||
\(295\) | −1.43827 | + | 3.14937i | −0.0837394 | + | 0.183364i | ||||
\(296\) | −0.784746 | + | 5.45803i | −0.0456124 | + | 0.317241i | ||||
\(297\) | 1.62678 | − | 1.04547i | 0.0943955 | − | 0.0606643i | ||||
\(298\) | −1.03957 | −0.0602206 | ||||||||
\(299\) | 28.2956 | + | 6.81296i | 1.63637 | + | 0.394003i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −22.2829 | + | 14.3204i | −1.28437 | + | 0.825412i | ||||
\(302\) | 2.68659 | − | 18.6857i | 0.154596 | − | 1.07524i | ||||
\(303\) | 6.43950 | − | 14.1005i | 0.369940 | − | 0.810055i | ||||
\(304\) | −8.32620 | + | 2.44479i | −0.477540 | + | 0.140219i | ||||
\(305\) | −5.26912 | − | 11.5378i | −0.301709 | − | 0.660651i | ||||
\(306\) | 3.86518 | + | 4.46066i | 0.220958 | + | 0.254999i | ||||
\(307\) | 3.03982 | + | 21.1424i | 0.173492 | + | 1.20666i | 0.871436 | + | 0.490510i | \(0.163189\pi\) |
−0.697944 | + | 0.716152i | \(0.745902\pi\) | |||||||
\(308\) | −4.38917 | − | 1.28878i | −0.250096 | − | 0.0734348i | ||||
\(309\) | −0.747275 | + | 0.862402i | −0.0425110 | + | 0.0490603i | ||||
\(310\) | 0.732607 | + | 0.470818i | 0.0416093 | + | 0.0267406i | ||||
\(311\) | 3.54403 | + | 2.27761i | 0.200963 | + | 0.129151i | 0.637252 | − | 0.770655i | \(-0.280071\pi\) |
−0.436289 | + | 0.899807i | \(0.643707\pi\) | |||||||
\(312\) | −3.97412 | + | 4.58638i | −0.224990 | + | 0.259653i | ||||
\(313\) | −11.3826 | − | 3.34224i | −0.643383 | − | 0.188914i | −0.0562655 | − | 0.998416i | \(-0.517919\pi\) |
−0.587118 | + | 0.809501i | \(0.699738\pi\) | |||||||
\(314\) | 1.11524 | + | 7.75667i | 0.0629367 | + | 0.437734i | ||||
\(315\) | 1.54913 | + | 1.78779i | 0.0872834 | + | 0.100730i | ||||
\(316\) | 2.25719 | + | 4.94255i | 0.126977 | + | 0.278040i | ||||
\(317\) | 3.67684 | − | 1.07962i | 0.206512 | − | 0.0606373i | −0.176841 | − | 0.984240i | \(-0.556588\pi\) |
0.383352 | + | 0.923602i | \(0.374770\pi\) | |||||||
\(318\) | 2.95267 | − | 6.46545i | 0.165578 | − | 0.362564i | ||||
\(319\) | 1.49827 | − | 10.4207i | 0.0838870 | − | 0.583447i | ||||
\(320\) | 0.841254 | − | 0.540641i | 0.0470275 | − | 0.0302227i | ||||
\(321\) | −8.48033 | −0.473326 | ||||||||
\(322\) | 2.16619 | + | 11.1362i | 0.120717 | + | 0.620596i | ||||
\(323\) | −51.2184 | −2.84987 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | 0.863659 | − | 6.00688i | 0.0479072 | − | 0.333202i | ||||
\(326\) | 0.690118 | − | 1.51115i | 0.0382221 | − | 0.0836947i | ||||
\(327\) | 11.5126 | − | 3.38040i | 0.636648 | − | 0.186937i | ||||
\(328\) | 1.82339 | + | 3.99268i | 0.100680 | + | 0.220459i | ||||
\(329\) | −0.474405 | − | 0.547492i | −0.0261548 | − | 0.0301842i | ||||
\(330\) | −0.275203 | − | 1.91408i | −0.0151494 | − | 0.105366i | ||||
\(331\) | 1.61311 | + | 0.473650i | 0.0886643 | + | 0.0260342i | 0.325764 | − | 0.945451i | \(-0.394379\pi\) |
−0.237100 | + | 0.971485i | \(0.576197\pi\) | |||||||
\(332\) | −2.54390 | + | 2.93582i | −0.139615 | + | 0.161124i | ||||
\(333\) | 4.63880 | + | 2.98118i | 0.254205 | + | 0.163367i | ||||
\(334\) | −10.1550 | − | 6.52623i | −0.555658 | − | 0.357099i | ||||
\(335\) | −6.42603 | + | 7.41604i | −0.351092 | + | 0.405181i | ||||
\(336\) | −2.26976 | − | 0.666461i | −0.123825 | − | 0.0363584i | ||||
\(337\) | −1.88162 | − | 13.0870i | −0.102499 | − | 0.712893i | −0.974663 | − | 0.223680i | \(-0.928193\pi\) |
0.872164 | − | 0.489213i | \(-0.162716\pi\) | |||||||
\(338\) | −15.6043 | − | 18.0084i | −0.848764 | − | 0.979526i | ||||
\(339\) | 7.53167 | + | 16.4920i | 0.409064 | + | 0.895725i | ||||
\(340\) | 5.66321 | − | 1.66287i | 0.307131 | − | 0.0901817i | ||||
\(341\) | −0.699566 | + | 1.53184i | −0.0378836 | + | 0.0829536i | ||||
\(342\) | −1.23497 | + | 8.58938i | −0.0667794 | + | 0.464461i | ||||
\(343\) | 16.7245 | − | 10.7482i | 0.903036 | − | 0.580346i | ||||
\(344\) | 11.1971 | 0.603710 | ||||||||
\(345\) | −3.90178 | + | 2.78857i | −0.210065 | + | 0.150131i | ||||
\(346\) | −22.3693 | −1.20258 | ||||||||
\(347\) | 0.259569 | − | 0.166815i | 0.0139344 | − | 0.00895511i | −0.533655 | − | 0.845702i | \(-0.679182\pi\) |
0.547589 | + | 0.836747i | \(0.315546\pi\) | |||||||
\(348\) | 0.774796 | − | 5.38882i | 0.0415334 | − | 0.288871i | ||||
\(349\) | 9.36546 | − | 20.5075i | 0.501322 | − | 1.09774i | −0.474716 | − | 0.880139i | \(-0.657449\pi\) |
0.976038 | − | 0.217602i | \(-0.0698236\pi\) | |||||||
\(350\) | 2.26976 | − | 0.666461i | 0.121324 | − | 0.0356239i | ||||
\(351\) | 2.52101 | + | 5.52024i | 0.134561 | + | 0.294648i | ||||
\(352\) | 1.26634 | + | 1.46144i | 0.0674963 | + | 0.0778949i | ||||
\(353\) | 3.32812 | + | 23.1476i | 0.177138 | + | 1.23202i | 0.863345 | + | 0.504614i | \(0.168365\pi\) |
−0.686207 | + | 0.727406i | \(0.740726\pi\) | |||||||
\(354\) | −3.32201 | − | 0.975429i | −0.176563 | − | 0.0518435i | ||||
\(355\) | −2.37361 | + | 2.73930i | −0.125978 | + | 0.145387i | ||||
\(356\) | 8.87180 | + | 5.70156i | 0.470204 | + | 0.302182i | ||||
\(357\) | −11.7459 | − | 7.54862i | −0.621658 | − | 0.399515i | ||||
\(358\) | 7.18068 | − | 8.28695i | 0.379511 | − | 0.437979i | ||||
\(359\) | 0.321376 | + | 0.0943646i | 0.0169616 | + | 0.00498037i | 0.290202 | − | 0.956965i | \(-0.406277\pi\) |
−0.273241 | + | 0.961946i | \(0.588096\pi\) | |||||||
\(360\) | −0.142315 | − | 0.989821i | −0.00750065 | − | 0.0521682i | ||||
\(361\) | −36.8704 | − | 42.5507i | −1.94055 | − | 2.23951i | ||||
\(362\) | 8.46889 | + | 18.5443i | 0.445115 | + | 0.974665i | ||||
\(363\) | −6.96647 | + | 2.04554i | −0.365645 | + | 0.107363i | ||||
\(364\) | 5.96365 | − | 13.0586i | 0.312580 | − | 0.684455i | ||||
\(365\) | −0.559977 | + | 3.89472i | −0.0293105 | + | 0.203859i | ||||
\(366\) | 10.6705 | − | 6.85749i | 0.557754 | − | 0.358447i | ||||
\(367\) | −30.2098 | −1.57694 | −0.788469 | − | 0.615074i | \(-0.789126\pi\) | ||||
−0.788469 | + | 0.615074i | \(0.789126\pi\) | |||||||
\(368\) | 1.77478 | − | 4.45535i | 0.0925166 | − | 0.232251i | ||||
\(369\) | 4.38933 | 0.228499 | ||||||||
\(370\) | 4.63880 | − | 2.98118i | 0.241160 | − | 0.154984i | ||||
\(371\) | −2.39288 | + | 16.6429i | −0.124232 | + | 0.864054i | ||||
\(372\) | −0.361765 | + | 0.792154i | −0.0187566 | + | 0.0410713i | ||||
\(373\) | −7.27287 | + | 2.13551i | −0.376575 | + | 0.110572i | −0.464542 | − | 0.885551i | \(-0.653781\pi\) |
0.0879673 | + | 0.996123i | \(0.471963\pi\) | |||||||
\(374\) | 4.74139 | + | 10.3822i | 0.245171 | + | 0.536850i | ||||
\(375\) | 0.654861 | + | 0.755750i | 0.0338169 | + | 0.0390267i | ||||
\(376\) | 0.0435825 | + | 0.303123i | 0.00224760 | + | 0.0156324i | ||||
\(377\) | 31.7009 | + | 9.30821i | 1.63268 | + | 0.479397i | ||||
\(378\) | −1.54913 | + | 1.78779i | −0.0796785 | + | 0.0919538i | ||||
\(379\) | 6.75705 | + | 4.34250i | 0.347087 | + | 0.223059i | 0.702555 | − | 0.711629i | \(-0.252042\pi\) |
−0.355469 | + | 0.934688i | \(0.615679\pi\) | |||||||
\(380\) | 7.30015 | + | 4.69152i | 0.374490 | + | 0.240670i | ||||
\(381\) | −2.02246 | + | 2.33404i | −0.103614 | + | 0.119577i | ||||
\(382\) | 18.4641 | + | 5.42156i | 0.944707 | + | 0.277391i | ||||
\(383\) | −4.37378 | − | 30.4203i | −0.223490 | − | 1.55441i | −0.724691 | − | 0.689074i | \(-0.758017\pi\) |
0.501201 | − | 0.865331i | \(-0.332892\pi\) | |||||||
\(384\) | 0.654861 | + | 0.755750i | 0.0334182 | + | 0.0385667i | ||||
\(385\) | 1.90030 | + | 4.16108i | 0.0968483 | + | 0.212068i | ||||
\(386\) | 4.83087 | − | 1.41847i | 0.245885 | − | 0.0721982i | ||||
\(387\) | 4.65146 | − | 10.1853i | 0.236447 | − | 0.517747i | ||||
\(388\) | 0.617210 | − | 4.29279i | 0.0313341 | − | 0.217933i | ||||
\(389\) | 24.1072 | − | 15.4927i | 1.22228 | − | 0.785513i | 0.239610 | − | 0.970869i | \(-0.422980\pi\) |
0.982671 | + | 0.185356i | \(0.0593439\pi\) | |||||||
\(390\) | 6.06865 | 0.307298 | ||||||||
\(391\) | 17.4596 | − | 22.2804i | 0.882969 | − | 1.12677i | ||||
\(392\) | −1.40403 | −0.0709140 | ||||||||
\(393\) | 12.6501 | − | 8.12975i | 0.638115 | − | 0.410092i | ||||
\(394\) | −2.19051 | + | 15.2353i | −0.110356 | + | 0.767543i | ||||
\(395\) | 2.25719 | − | 4.94255i | 0.113571 | − | 0.248687i | ||||
\(396\) | 1.85543 | − | 0.544803i | 0.0932388 | − | 0.0273774i | ||||
\(397\) | −9.61110 | − | 21.0454i | −0.482367 | − | 1.05624i | −0.981806 | − | 0.189887i | \(-0.939188\pi\) |
0.499439 | − | 0.866349i | \(-0.333540\pi\) | |||||||
\(398\) | 10.4972 | + | 12.1144i | 0.526177 | + | 0.607240i | ||||
\(399\) | −2.92141 | − | 20.3189i | −0.146254 | − | 1.01722i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −11.6482 | + | 13.4427i | −0.581681 | + | 0.671296i | −0.967965 | − | 0.251084i | \(-0.919213\pi\) |
0.386284 | + | 0.922380i | \(0.373758\pi\) | |||||||
\(402\) | −8.25507 | − | 5.30521i | −0.411726 | − | 0.264600i | ||||
\(403\) | −4.44593 | − | 2.85723i | −0.221468 | − | 0.142329i | ||||
\(404\) | 10.1512 | − | 11.7152i | 0.505043 | − | 0.582851i | ||||
\(405\) | −0.959493 | − | 0.281733i | −0.0476776 | − | 0.0139994i | ||||
\(406\) | 1.83284 | + | 12.7477i | 0.0909625 | + | 0.632658i | ||||
\(407\) | 6.98281 | + | 8.05859i | 0.346125 | + | 0.399450i | ||||
\(408\) | 2.45190 | + | 5.36891i | 0.121387 | + | 0.265801i | ||||
\(409\) | −9.99152 | + | 2.93378i | −0.494049 | + | 0.145066i | −0.519260 | − | 0.854616i | \(-0.673792\pi\) |
0.0252110 | + | 0.999682i | \(0.491974\pi\) | |||||||
\(410\) | 1.82339 | − | 3.99268i | 0.0900510 | − | 0.197184i | ||||
\(411\) | −2.76726 | + | 19.2467i | −0.136499 | + | 0.949369i | ||||
\(412\) | −0.959972 | + | 0.616937i | −0.0472944 | + | 0.0303943i | ||||
\(413\) | 8.19023 | 0.403015 | ||||||||
\(414\) | −3.31546 | − | 3.46521i | −0.162946 | − | 0.170306i | ||||
\(415\) | 3.88465 | 0.190690 | ||||||||
\(416\) | −5.10527 | + | 3.28096i | −0.250307 | + | 0.160862i | ||||
\(417\) | 0.373986 | − | 2.60113i | 0.0183142 | − | 0.127378i | ||||
\(418\) | −6.97092 | + | 15.2642i | −0.340959 | + | 0.746595i | ||||
\(419\) | −15.6250 | + | 4.58791i | −0.763331 | + | 0.224134i | −0.640150 | − | 0.768250i | \(-0.721128\pi\) |
−0.123181 | + | 0.992384i | \(0.539310\pi\) | |||||||
\(420\) | 0.982698 | + | 2.15181i | 0.0479507 | + | 0.104997i | ||||
\(421\) | −11.1382 | − | 12.8541i | −0.542841 | − | 0.626472i | 0.416359 | − | 0.909200i | \(-0.363306\pi\) |
−0.959200 | + | 0.282729i | \(0.908760\pi\) | |||||||
\(422\) | 2.82149 | + | 19.6239i | 0.137348 | + | 0.955277i | ||||
\(423\) | 0.293835 | + | 0.0862778i | 0.0142868 | + | 0.00419497i | ||||
\(424\) | 4.65460 | − | 5.37169i | 0.226047 | − | 0.260872i | ||||
\(425\) | −4.96532 | − | 3.19102i | −0.240854 | − | 0.154787i | ||||
\(426\) | −3.04921 | − | 1.95961i | −0.147735 | − | 0.0949434i | ||||
\(427\) | −19.6491 | + | 22.6763i | −0.950887 | + | 1.09738i | ||||
\(428\) | −8.13682 | − | 2.38919i | −0.393308 | − | 0.115486i | ||||
\(429\) | 1.67011 | + | 11.6159i | 0.0806336 | + | 0.560819i | ||||
\(430\) | −7.33257 | − | 8.46224i | −0.353608 | − | 0.408085i | ||||
\(431\) | −10.8650 | − | 23.7910i | −0.523348 | − | 1.14597i | −0.968156 | − | 0.250347i | \(-0.919455\pi\) |
0.444808 | − | 0.895626i | \(-0.353272\pi\) | |||||||
\(432\) | 0.959493 | − | 0.281733i | 0.0461636 | − | 0.0135549i | ||||
\(433\) | 11.8861 | − | 26.0268i | 0.571207 | − | 1.25077i | −0.374945 | − | 0.927047i | \(-0.622338\pi\) |
0.946152 | − | 0.323722i | \(-0.104934\pi\) | |||||||
\(434\) | 0.293178 | − | 2.03910i | 0.0140730 | − | 0.0978800i | ||||
\(435\) | −4.57999 | + | 2.94338i | −0.219593 | + | 0.141124i | ||||
\(436\) | 11.9986 | 0.574630 | ||||||||
\(437\) | 41.5662 | − | 2.05165i | 1.98838 | − | 0.0981439i | ||||
\(438\) | −3.93477 | −0.188011 | ||||||||
\(439\) | −30.2628 | + | 19.4487i | −1.44437 | + | 0.928237i | −0.444899 | + | 0.895581i | \(0.646760\pi\) |
−0.999467 | + | 0.0326563i | \(0.989603\pi\) | |||||||
\(440\) | 0.275203 | − | 1.91408i | 0.0131198 | − | 0.0912500i | ||||
\(441\) | −0.583253 | + | 1.27715i | −0.0277740 | + | 0.0608165i | ||||
\(442\) | −34.3680 | + | 10.0914i | −1.63472 | + | 0.479997i | ||||
\(443\) | −4.31352 | − | 9.44530i | −0.204942 | − | 0.448760i | 0.779053 | − | 0.626958i | \(-0.215700\pi\) |
−0.983995 | + | 0.178198i | \(0.942973\pi\) | |||||||
\(444\) | 3.61100 | + | 4.16732i | 0.171371 | + | 0.197772i | ||||
\(445\) | −1.50084 | − | 10.4386i | −0.0711467 | − | 0.494836i | ||||
\(446\) | 19.8572 | + | 5.83060i | 0.940266 | + | 0.276087i | ||||
\(447\) | −0.680773 | + | 0.785653i | −0.0321994 | + | 0.0371601i | ||||
\(448\) | −1.99005 | − | 1.27893i | −0.0940212 | − | 0.0604238i | ||||
\(449\) | 0.216291 | + | 0.139002i | 0.0102074 | + | 0.00655991i | 0.545735 | − | 0.837958i | \(-0.316251\pi\) |
−0.535527 | + | 0.844518i | \(0.679887\pi\) | |||||||
\(450\) | −0.654861 | + | 0.755750i | −0.0308704 | + | 0.0356264i | ||||
\(451\) | 8.14409 | + | 2.39132i | 0.383490 | + | 0.112603i | ||||
\(452\) | 2.58023 | + | 17.9459i | 0.121364 | + | 0.844105i | ||||
\(453\) | −12.3623 | − | 14.2669i | −0.580833 | − | 0.670317i | ||||
\(454\) | −11.2186 | − | 24.5652i | −0.526513 | − | 1.15290i | ||||
\(455\) | −13.7744 | + | 4.04452i | −0.645752 | + | 0.189610i | ||||
\(456\) | −3.60485 | + | 7.89352i | −0.168813 | + | 0.369648i | ||||
\(457\) | −4.60490 | + | 32.0278i | −0.215408 | + | 1.49820i | 0.539289 | + | 0.842121i | \(0.318693\pi\) |
−0.754696 | + | 0.656074i | \(0.772216\pi\) | |||||||
\(458\) | −20.3526 | + | 13.0798i | −0.951016 | + | 0.611181i | ||||
\(459\) | 5.90229 | 0.275495 | ||||||||
\(460\) | −4.52936 | + | 1.57635i | −0.211183 | + | 0.0734977i | ||||
\(461\) | 28.8459 | 1.34349 | 0.671744 | − | 0.740783i | \(-0.265545\pi\) | ||||
0.671744 | + | 0.740783i | \(0.265545\pi\) | |||||||
\(462\) | −3.84829 | + | 2.47314i | −0.179038 | + | 0.115061i | ||||
\(463\) | 3.44072 | − | 23.9307i | 0.159904 | − | 1.11216i | −0.738903 | − | 0.673811i | \(-0.764656\pi\) |
0.898807 | − | 0.438344i | \(-0.144435\pi\) | |||||||
\(464\) | 2.26162 | − | 4.95225i | 0.104993 | − | 0.229903i | ||||
\(465\) | 0.835576 | − | 0.245347i | 0.0387489 | − | 0.0113777i | ||||
\(466\) | 1.28739 | + | 2.81900i | 0.0596373 | + | 0.130587i | ||||
\(467\) | −1.44299 | − | 1.66530i | −0.0667738 | − | 0.0770611i | 0.721380 | − | 0.692540i | \(-0.243508\pi\) |
−0.788154 | + | 0.615479i | \(0.788963\pi\) | |||||||
\(468\) | 0.863659 | + | 6.00688i | 0.0399226 | + | 0.277668i | ||||
\(469\) | 22.2727 | + | 6.53987i | 1.02846 | + | 0.301983i | ||||
\(470\) | 0.200545 | − | 0.231441i | 0.00925044 | − | 0.0106756i | ||||
\(471\) | 6.59243 | + | 4.23670i | 0.303763 | + | 0.195217i | ||||
\(472\) | −2.91263 | − | 1.87183i | −0.134065 | − | 0.0861581i | ||||
\(473\) | 14.1794 | − | 16.3639i | 0.651971 | − | 0.752415i | ||||
\(474\) | 5.21347 | + | 1.53081i | 0.239463 | + | 0.0703126i | ||||
\(475\) | −1.23497 | − | 8.58938i | −0.0566642 | − | 0.394108i | ||||
\(476\) | −9.14340 | − | 10.5520i | −0.419087 | − | 0.483652i | ||||
\(477\) | −2.95267 | − | 6.46545i | −0.135194 | − | 0.296033i | ||||
\(478\) | −1.19283 | + | 0.350247i | −0.0545589 | + | 0.0160199i | ||||
\(479\) | −0.694918 | + | 1.52166i | −0.0317516 | + | 0.0695263i | −0.924843 | − | 0.380348i | \(-0.875804\pi\) |
0.893092 | + | 0.449875i | \(0.148531\pi\) | |||||||
\(480\) | 0.142315 | − | 0.989821i | 0.00649575 | − | 0.0451790i | ||||
\(481\) | −28.1512 | + | 18.0917i | −1.28359 | + | 0.824911i | ||||
\(482\) | 24.4262 | 1.11258 | ||||||||
\(483\) | 9.83473 | + | 5.65557i | 0.447496 | + | 0.257337i | ||||
\(484\) | −7.26057 | −0.330026 | ||||||||
\(485\) | −3.64846 | + | 2.34472i | −0.165668 | + | 0.106468i | ||||
\(486\) | 0.142315 | − | 0.989821i | 0.00645553 | − | 0.0448992i | ||||
\(487\) | 5.48941 | − | 12.0201i | 0.248749 | − | 0.544684i | −0.743531 | − | 0.668701i | \(-0.766851\pi\) |
0.992280 | + | 0.124017i | \(0.0395778\pi\) | |||||||
\(488\) | 12.1702 | − | 3.57350i | 0.550919 | − | 0.161765i | ||||
\(489\) | −0.690118 | − | 1.51115i | −0.0312082 | − | 0.0683364i | ||||
\(490\) | 0.919441 | + | 1.06109i | 0.0415361 | + | 0.0479352i | ||||
\(491\) | −3.75614 | − | 26.1245i | −0.169512 | − | 1.17898i | −0.879896 | − | 0.475167i | \(-0.842388\pi\) |
0.710383 | − | 0.703815i | \(-0.248522\pi\) | |||||||
\(492\) | 4.21153 | + | 1.23662i | 0.189871 | + | 0.0557510i | ||||
\(493\) | 21.0430 | − | 24.2849i | 0.947727 | − | 1.09374i | ||||
\(494\) | −44.3021 | − | 28.4712i | −1.99324 | − | 1.28098i | ||||
\(495\) | −1.62678 | − | 1.04547i | −0.0731184 | − | 0.0469904i | ||||
\(496\) | −0.570286 | + | 0.658145i | −0.0256066 | + | 0.0295516i | ||||
\(497\) | 8.22698 | + | 2.41566i | 0.369031 | + | 0.108357i | ||||
\(498\) | 0.552843 | + | 3.84511i | 0.0247735 | + | 0.172303i | ||||
\(499\) | −0.236157 | − | 0.272539i | −0.0105718 | − | 0.0122005i | 0.750439 | − | 0.660940i | \(-0.229842\pi\) |
−0.761011 | + | 0.648739i | \(0.775297\pi\) | |||||||
\(500\) | 0.415415 | + | 0.909632i | 0.0185779 | + | 0.0406800i | ||||
\(501\) | −11.5823 | + | 3.40087i | −0.517460 | + | 0.151940i | ||||
\(502\) | 2.93592 | − | 6.42878i | 0.131037 | − | 0.286930i | ||||
\(503\) | 0.884410 | − | 6.15121i | 0.0394339 | − | 0.274269i | −0.960559 | − | 0.278077i | \(-0.910303\pi\) |
0.999993 | + | 0.00380803i | \(0.00121214\pi\) | |||||||
\(504\) | −1.99005 | + | 1.27893i | −0.0886440 | + | 0.0569681i | ||||
\(505\) | −15.5014 | −0.689802 | ||||||||
\(506\) | −4.26375 | − | 8.23573i | −0.189547 | − | 0.366123i | ||||
\(507\) | −23.8285 | −1.05826 | ||||||||
\(508\) | −2.59811 | + | 1.66970i | −0.115272 | + | 0.0740811i | ||||
\(509\) | −3.37889 | + | 23.5007i | −0.149767 | + | 1.04165i | 0.766834 | + | 0.641845i | \(0.221831\pi\) |
−0.916601 | + | 0.399804i | \(0.869078\pi\) | |||||||
\(510\) | 2.45190 | − | 5.36891i | 0.108572 | − | 0.237740i | ||||
\(511\) | 8.93099 | − | 2.62237i | 0.395084 | − | 0.116007i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 5.68269 | + | 6.55818i | 0.250897 | + | 0.289551i | ||||
\(514\) | −0.0357742 | − | 0.248815i | −0.00157793 | − | 0.0109748i | ||||
\(515\) | 1.09490 | + | 0.321491i | 0.0482469 | + | 0.0141666i | ||||
\(516\) | 7.33257 | − | 8.46224i | 0.322798 | − | 0.372529i | ||||
\(517\) | 0.498186 | + | 0.320165i | 0.0219102 | + | 0.0140808i | ||||
\(518\) | −10.9735 | − | 7.05221i | −0.482146 | − | 0.309856i | ||||
\(519\) | −14.6488 | + | 16.9056i | −0.643009 | + | 0.742072i | ||||
\(520\) | 5.82283 | + | 1.70974i | 0.255348 | + | 0.0749769i | ||||
\(521\) | −2.97529 | − | 20.6936i | −0.130350 | − | 0.906603i | −0.945098 | − | 0.326788i | \(-0.894034\pi\) |
0.814748 | − | 0.579816i | \(-0.196875\pi\) | |||||||
\(522\) | −3.56522 | − | 4.11448i | −0.156045 | − | 0.180086i | ||||
\(523\) | 2.13656 | + | 4.67841i | 0.0934251 | + | 0.204573i | 0.950575 | − | 0.310494i | \(-0.100494\pi\) |
−0.857150 | + | 0.515067i | \(0.827767\pi\) | |||||||
\(524\) | 14.4281 | − | 4.23648i | 0.630296 | − | 0.185072i | ||||
\(525\) | 0.982698 | − | 2.15181i | 0.0428885 | − | 0.0939126i | ||||
\(526\) | 1.83949 | − | 12.7939i | 0.0802055 | − | 0.557841i | ||||
\(527\) | −4.32406 | + | 2.77890i | −0.188359 | + | 0.121051i | ||||
\(528\) | 1.93376 | 0.0841561 | ||||||||
\(529\) | −13.2768 | + | 18.7810i | −0.577253 | + | 0.816565i | ||||
\(530\) | −7.10777 | −0.308742 | ||||||||
\(531\) | −2.91263 | + | 1.87183i | −0.126397 | + | 0.0812307i | ||||
\(532\) | 2.92141 | − | 20.3189i | 0.126659 | − | 0.880935i | ||||
\(533\) | −11.0655 | + | 24.2301i | −0.479302 | + | 1.04952i | ||||
\(534\) | 10.1187 | − | 2.97113i | 0.437881 | − | 0.128573i | ||||
\(535\) | 3.52286 | + | 7.71398i | 0.152306 | + | 0.333504i | ||||
\(536\) | −6.42603 | − | 7.41604i | −0.277562 | − | 0.320324i | ||||
\(537\) | −1.56051 | − | 10.8536i | −0.0673411 | − | 0.468367i | ||||
\(538\) | −9.94930 | − | 2.92138i | −0.428945 | − | 0.125950i | ||||
\(539\) | −1.77798 | + | 2.05190i | −0.0765830 | + | 0.0883814i | ||||
\(540\) | −0.841254 | − | 0.540641i | −0.0362018 | − | 0.0232655i | ||||
\(541\) | 9.69757 | + | 6.23225i | 0.416931 | + | 0.267945i | 0.732244 | − | 0.681042i | \(-0.238473\pi\) |
−0.315313 | + | 0.948988i | \(0.602109\pi\) | |||||||
\(542\) | 13.0049 | − | 15.0085i | 0.558609 | − | 0.644669i | ||||
\(543\) | 19.5608 | + | 5.74356i | 0.839433 | + | 0.246480i | ||||
\(544\) | 0.839984 | + | 5.84222i | 0.0360140 | + | 0.250483i | ||||
\(545\) | −7.85743 | − | 9.06795i | −0.336575 | − | 0.388428i | ||||
\(546\) | −5.96365 | − | 13.0586i | −0.255221 | − | 0.558855i | ||||
\(547\) | −19.5231 | + | 5.73249i | −0.834746 | + | 0.245104i | −0.671054 | − | 0.741408i | \(-0.734158\pi\) |
−0.163691 | + | 0.986512i | \(0.552340\pi\) | |||||||
\(548\) | −8.07758 | + | 17.6874i | −0.345057 | + | 0.755570i | ||||
\(549\) | 1.80512 | − | 12.5549i | 0.0770407 | − | 0.535830i | ||||
\(550\) | −1.62678 | + | 1.04547i | −0.0693662 | + | 0.0445790i | ||||
\(551\) | 47.2435 | 2.01264 | ||||||||
\(552\) | −2.20490 | − | 4.25892i | −0.0938468 | − | 0.181272i | ||||
\(553\) | −12.8536 | −0.546589 | ||||||||
\(554\) | −9.80294 | + | 6.29997i | −0.416487 | + | 0.267660i | ||||
\(555\) | 0.784746 | − | 5.45803i | 0.0333106 | − | 0.231680i | ||||
\(556\) | 1.09166 | − | 2.39040i | 0.0462967 | − | 0.101376i | ||||
\(557\) | −9.60939 | + | 2.82157i | −0.407163 | + | 0.119554i | −0.478899 | − | 0.877870i | \(-0.658964\pi\) |
0.0717365 | + | 0.997424i | \(0.477146\pi\) | |||||||
\(558\) | 0.361765 | + | 0.792154i | 0.0153147 | + | 0.0335346i | ||||
\(559\) | 44.4988 | + | 51.3544i | 1.88210 | + | 2.17206i | ||||
\(560\) | 0.336657 | + | 2.34150i | 0.0142264 | + | 0.0989466i | ||||
\(561\) | 10.9513 | + | 3.21559i | 0.462364 | + | 0.135762i | ||||
\(562\) | 14.4867 | − | 16.7185i | 0.611084 | − | 0.705229i | ||||
\(563\) | 18.6985 | + | 12.0168i | 0.788048 | + | 0.506448i | 0.871696 | − | 0.490048i | \(-0.163021\pi\) |
−0.0836477 | + | 0.996495i | \(0.526657\pi\) | |||||||
\(564\) | 0.257626 | + | 0.165566i | 0.0108480 | + | 0.00697158i | ||||
\(565\) | 11.8729 | − | 13.7021i | 0.499498 | − | 0.576451i | ||||
\(566\) | 19.7566 | + | 5.80106i | 0.830432 | + | 0.243837i | ||||
\(567\) | 0.336657 | + | 2.34150i | 0.0141383 | + | 0.0983339i | ||||
\(568\) | −2.37361 | − | 2.73930i | −0.0995946 | − | 0.114938i | ||||
\(569\) | 4.65768 | + | 10.1989i | 0.195260 | + | 0.427560i | 0.981784 | − | 0.190000i | \(-0.0608487\pi\) |
−0.786524 | + | 0.617560i | \(0.788121\pi\) | |||||||
\(570\) | 8.32620 | − | 2.44479i | 0.348746 | − | 0.102401i | ||||
\(571\) | −5.13293 | + | 11.2395i | −0.214806 | + | 0.470360i | −0.986107 | − | 0.166110i | \(-0.946879\pi\) |
0.771301 | + | 0.636471i | \(0.219606\pi\) | |||||||
\(572\) | −1.67011 | + | 11.6159i | −0.0698307 | + | 0.485683i | ||||
\(573\) | 16.1888 | − | 10.4039i | 0.676295 | − | 0.434629i | ||||
\(574\) | −10.3833 | −0.433391 | ||||||||
\(575\) | 4.15743 | + | 2.39077i | 0.173377 | + | 0.0997022i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −27.2689 | + | 17.5246i | −1.13522 | + | 0.729560i | −0.966643 | − | 0.256129i | \(-0.917553\pi\) |
−0.168575 | + | 0.985689i | \(0.553916\pi\) | |||||||
\(578\) | −2.53848 | + | 17.6555i | −0.105587 | + | 0.734372i | ||||
\(579\) | 2.09154 | − | 4.57983i | 0.0869213 | − | 0.190331i | ||||
\(580\) | −5.22371 | + | 1.53382i | −0.216903 | + | 0.0636884i | ||||
\(581\) | −3.81744 | − | 8.35902i | −0.158374 | − | 0.346791i | ||||
\(582\) | −2.84009 | − | 3.27763i | −0.117725 | − | 0.135862i | ||||
\(583\) | −1.95608 | − | 13.6048i | −0.0810124 | − | 0.563454i | ||||
\(584\) | −3.77539 | − | 1.10855i | −0.156227 | − | 0.0458723i | ||||
\(585\) | 3.97412 | − | 4.58638i | 0.164310 | − | 0.189623i | ||||
\(586\) | −0.282291 | − | 0.181417i | −0.0116613 | − | 0.00749428i | ||||
\(587\) | 34.1750 | + | 21.9629i | 1.41055 | + | 0.906506i | 0.999986 | − | 0.00532466i | \(-0.00169490\pi\) |
0.410566 | + | 0.911831i | \(0.365331\pi\) | |||||||
\(588\) | −0.919441 | + | 1.06109i | −0.0379171 | + | 0.0437587i | ||||
\(589\) | −7.25088 | − | 2.12905i | −0.298767 | − | 0.0877260i | ||||
\(590\) | 0.492730 | + | 3.42701i | 0.0202854 | + | 0.141088i | ||||
\(591\) | 10.0796 | + | 11.6325i | 0.414619 | + | 0.478496i | ||||
\(592\) | 2.29066 | + | 5.01585i | 0.0941456 | + | 0.206150i | ||||
\(593\) | −2.53889 | + | 0.745485i | −0.104260 | + | 0.0306134i | −0.333446 | − | 0.942769i | \(-0.608212\pi\) |
0.229187 | + | 0.973383i | \(0.426393\pi\) | |||||||
\(594\) | 0.803313 | − | 1.75901i | 0.0329603 | − | 0.0721730i | ||||
\(595\) | −1.98705 | + | 13.8202i | −0.0814611 | + | 0.566574i | ||||
\(596\) | −0.874541 | + | 0.562033i | −0.0358226 | + | 0.0230218i | ||||
\(597\) | 16.0297 | 0.656050 | ||||||||
\(598\) | 27.4871 | − | 9.56631i | 1.12403 | − | 0.391196i | ||||
\(599\) | 20.8962 | 0.853796 | 0.426898 | − | 0.904300i | \(-0.359606\pi\) | ||||
0.426898 | + | 0.904300i | \(0.359606\pi\) | |||||||
\(600\) | −0.841254 | + | 0.540641i | −0.0343440 | + | 0.0220716i | ||||
\(601\) | 4.26278 | − | 29.6483i | 0.173883 | − | 1.20938i | −0.696702 | − | 0.717361i | \(-0.745350\pi\) |
0.870585 | − | 0.492019i | \(-0.163741\pi\) | |||||||
\(602\) | −11.0034 | + | 24.0941i | −0.448466 | + | 0.982003i | ||||
\(603\) | −9.41534 | + | 2.76459i | −0.383422 | + | 0.112583i | ||||
\(604\) | −7.84212 | − | 17.1719i | −0.319092 | − | 0.698713i | ||||
\(605\) | 4.75466 | + | 5.48718i | 0.193305 | + | 0.223085i | ||||
\(606\) | −2.20607 | − | 15.3436i | −0.0896157 | − | 0.623291i | ||||
\(607\) | 21.4429 | + | 6.29622i | 0.870342 | + | 0.255556i | 0.686261 | − | 0.727355i | \(-0.259251\pi\) |
0.184081 | + | 0.982911i | \(0.441069\pi\) | |||||||
\(608\) | −5.68269 | + | 6.55818i | −0.230464 | + | 0.265969i | ||||
\(609\) | 10.8343 | + | 6.96280i | 0.439029 | + | 0.282147i | ||||
\(610\) | −10.6705 | − | 6.85749i | −0.432034 | − | 0.277652i | ||||
\(611\) | −1.21704 | + | 1.40453i | −0.0492360 | + | 0.0568213i | ||||
\(612\) | 5.66321 | + | 1.66287i | 0.228922 | + | 0.0672175i | ||||
\(613\) | 3.67014 | + | 25.5264i | 0.148236 | + | 1.03100i | 0.919106 | + | 0.394010i | \(0.128912\pi\) |
−0.770871 | + | 0.636992i | \(0.780179\pi\) | |||||||
\(614\) | 13.9877 | + | 16.1427i | 0.564498 | + | 0.651466i | ||||
\(615\) | −1.82339 | − | 3.99268i | −0.0735263 | − | 0.161000i | ||||
\(616\) | −4.38917 | + | 1.28878i | −0.176845 | + | 0.0519263i | ||||
\(617\) | −8.39926 | + | 18.3918i | −0.338141 | + | 0.740426i | −0.999957 | − | 0.00924007i | \(-0.997059\pi\) |
0.661816 | + | 0.749666i | \(0.269786\pi\) | |||||||
\(618\) | −0.162398 | + | 1.12951i | −0.00653262 | + | 0.0454354i | ||||
\(619\) | 4.95083 | − | 3.18170i | 0.198991 | − | 0.127883i | −0.437351 | − | 0.899291i | \(-0.644083\pi\) |
0.636342 | + | 0.771407i | \(0.280447\pi\) | |||||||
\(620\) | 0.870851 | 0.0349742 | ||||||||
\(621\) | −4.79000 | + | 0.236428i | −0.192216 | + | 0.00948753i | ||||
\(622\) | 4.21280 | 0.168918 | ||||||||
\(623\) | −20.9870 | + | 13.4875i | −0.840824 | + | 0.540365i | ||||
\(624\) | −0.863659 | + | 6.00688i | −0.0345740 | + | 0.240468i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −11.3826 | + | 3.34224i | −0.454941 | + | 0.133583i | ||||
\(627\) | 6.97092 | + | 15.2642i | 0.278392 | + | 0.609592i | ||||
\(628\) | 5.13177 | + | 5.92238i | 0.204780 | + | 0.236329i | ||||
\(629\) | 4.63180 | + | 32.2149i | 0.184682 | + | 1.28449i | ||||
\(630\) | 2.26976 | + | 0.666461i | 0.0904293 | + | 0.0265525i | ||||
\(631\) | −6.47994 | + | 7.47826i | −0.257963 | + | 0.297705i | −0.869927 | − | 0.493181i | \(-0.835834\pi\) |
0.611964 | + | 0.790885i | \(0.290380\pi\) | |||||||
\(632\) | 4.57101 | + | 2.93761i | 0.181825 | + | 0.116852i | ||||
\(633\) | 16.6784 | + | 10.7186i | 0.662908 | + | 0.426025i | ||||
\(634\) | 2.50947 | − | 2.89608i | 0.0996636 | − | 0.115018i | ||||
\(635\) | 2.96328 | + | 0.870097i | 0.117594 | + | 0.0345287i | ||||
\(636\) | −1.01154 | − | 7.03542i | −0.0401102 | − | 0.278973i | ||||
\(637\) | −5.57977 | − | 6.43939i | −0.221078 | − | 0.255138i | ||||
\(638\) | −4.37343 | − | 9.57647i | −0.173146 | − | 0.379136i | ||||
\(639\) | −3.47778 | + | 1.02117i | −0.137579 | + | 0.0403969i | ||||
\(640\) | 0.415415 | − | 0.909632i | 0.0164207 | − | 0.0359564i | ||||
\(641\) | −4.40027 | + | 30.6046i | −0.173800 | + | 1.20881i | 0.696964 | + | 0.717107i | \(0.254534\pi\) |
−0.870764 | + | 0.491701i | \(0.836375\pi\) | |||||||
\(642\) | −7.13411 | + | 4.58481i | −0.281561 | + | 0.180948i | ||||
\(643\) | −23.2892 | −0.918437 | −0.459218 | − | 0.888323i | \(-0.651870\pi\) | ||||
−0.459218 | + | 0.888323i | \(0.651870\pi\) | |||||||
\(644\) | 7.84300 | + | 8.19724i | 0.309057 | + | 0.323017i | ||||
\(645\) | −11.1971 | −0.440887 | ||||||||
\(646\) | −43.0876 | + | 27.6907i | −1.69526 | + | 1.08948i | ||||
\(647\) | 4.18814 | − | 29.1292i | 0.164653 | − | 1.14519i | −0.725067 | − | 0.688679i | \(-0.758191\pi\) |
0.889720 | − | 0.456508i | \(-0.150900\pi\) | |||||||
\(648\) | 0.415415 | − | 0.909632i | 0.0163190 | − | 0.0357337i | ||||
\(649\) | −6.42396 | + | 1.88624i | −0.252162 | + | 0.0740416i | ||||
\(650\) | −2.52101 | − | 5.52024i | −0.0988820 | − | 0.216521i | ||||
\(651\) | −1.34906 | − | 1.55690i | −0.0528738 | − | 0.0610196i | ||||
\(652\) | −0.236424 | − | 1.64436i | −0.00925907 | − | 0.0643983i | ||||
\(653\) | 18.3778 | + | 5.39620i | 0.719177 | + | 0.211169i | 0.620788 | − | 0.783979i | \(-0.286813\pi\) |
0.0983892 | + | 0.995148i | \(0.468631\pi\) | |||||||
\(654\) | 7.85743 | − | 9.06795i | 0.307250 | − | 0.354585i | ||||
\(655\) | −12.6501 | − | 8.12975i | −0.494282 | − | 0.317656i | ||||
\(656\) | 3.69254 | + | 2.37305i | 0.144169 | + | 0.0926521i | ||||
\(657\) | −2.57673 | + | 2.97370i | −0.100528 | + | 0.116015i | ||||
\(658\) | −0.695091 | − | 0.204097i | −0.0270975 | − | 0.00795654i | ||||
\(659\) | −4.34742 | − | 30.2370i | −0.169351 | − | 1.17786i | −0.880229 | − | 0.474549i | \(-0.842611\pi\) |
0.710878 | − | 0.703316i | \(-0.248298\pi\) | |||||||
\(660\) | −1.26634 | − | 1.46144i | −0.0492923 | − | 0.0568864i | ||||
\(661\) | −10.8862 | − | 23.8374i | −0.423422 | − | 0.927166i | −0.994349 | − | 0.106164i | \(-0.966143\pi\) |
0.570926 | − | 0.821001i | \(-0.306584\pi\) | |||||||
\(662\) | 1.61311 | − | 0.473650i | 0.0626951 | − | 0.0184089i | ||||
\(663\) | −14.8797 | + | 32.5820i | −0.577881 | + | 1.26538i | ||||
\(664\) | −0.552843 | + | 3.84511i | −0.0214545 | + | 0.149219i | ||||
\(665\) | −17.2691 | + | 11.0982i | −0.669667 | + | 0.430369i | ||||
\(666\) | 5.51415 | 0.213669 | ||||||||
\(667\) | −16.1046 | + | 20.5513i | −0.623573 | + | 0.795749i | ||||
\(668\) | −12.0713 | −0.467052 | ||||||||
\(669\) | 17.4102 | − | 11.1888i | 0.673117 | − | 0.432586i | ||||
\(670\) | −1.39651 | + | 9.71295i | −0.0539519 | + | 0.375244i | ||||
\(671\) | 10.1892 | − | 22.3113i | 0.393350 | − | 0.861317i | ||||
\(672\) | −2.26976 | + | 0.666461i | −0.0875578 | + | 0.0257093i | ||||
\(673\) | 4.63491 | + | 10.1490i | 0.178663 | + | 0.391217i | 0.977683 | − | 0.210088i | \(-0.0673750\pi\) |
−0.799020 | + | 0.601305i | \(0.794648\pi\) | |||||||
\(674\) | −8.65828 | − | 9.99219i | −0.333504 | − | 0.384885i | ||||
\(675\) | 0.142315 | + | 0.989821i | 0.00547770 | + | 0.0380982i | ||||
\(676\) | −22.8633 | − | 6.71326i | −0.879356 | − | 0.258202i | ||||
\(677\) | −15.0740 | + | 17.3963i | −0.579339 | + | 0.668593i | −0.967463 | − | 0.253014i | \(-0.918578\pi\) |
0.388123 | + | 0.921608i | \(0.373124\pi\) | |||||||
\(678\) | 15.2523 | + | 9.80207i | 0.585762 | + | 0.376446i | ||||
\(679\) | 8.63072 | + | 5.54663i | 0.331217 | + | 0.212860i | ||||
\(680\) | 3.86518 | − | 4.46066i | 0.148223 | − | 0.171058i | ||||
\(681\) | −25.9117 | − | 7.60837i | −0.992940 | − | 0.291553i | ||||
\(682\) | 0.239661 | + | 1.66688i | 0.00917708 | + | 0.0638280i | ||||
\(683\) | 10.1587 | + | 11.7238i | 0.388713 | + | 0.448599i | 0.916054 | − | 0.401055i | \(-0.131356\pi\) |
−0.527341 | + | 0.849654i | \(0.676811\pi\) | |||||||
\(684\) | 3.60485 | + | 7.89352i | 0.137835 | + | 0.301816i | ||||
\(685\) | 18.6570 | − | 5.47818i | 0.712846 | − | 0.209310i | ||||
\(686\) | 8.25862 | − | 18.0839i | 0.315316 | − | 0.690445i | ||||
\(687\) | −3.44305 | + | 23.9470i | −0.131361 | + | 0.913634i | ||||
\(688\) | 9.41964 | − | 6.05363i | 0.359120 | − | 0.230793i | ||||
\(689\) | 43.1345 | 1.64329 | ||||||||
\(690\) | −1.77478 | + | 4.45535i | −0.0675645 | + | 0.169612i | ||||
\(691\) | −19.4011 | −0.738051 | −0.369026 | − | 0.929419i | \(-0.620309\pi\) | ||||
−0.369026 | + | 0.929419i | \(0.620309\pi\) | |||||||
\(692\) | −18.8182 | + | 12.0937i | −0.715362 | + | 0.459735i | ||||
\(693\) | −0.651014 | + | 4.52790i | −0.0247300 | + | 0.172001i | ||||
\(694\) | 0.128177 | − | 0.280668i | 0.00486552 | − | 0.0106540i | ||||
\(695\) | −2.52143 | + | 0.740358i | −0.0956433 | + | 0.0280834i | ||||
\(696\) | −2.26162 | − | 4.95225i | −0.0857264 | − | 0.187715i | ||||
\(697\) | 16.9656 | + | 19.5793i | 0.642616 | + | 0.741618i | ||||
\(698\) | −3.20846 | − | 22.3154i | −0.121442 | − | 0.844649i | ||||
\(699\) | 2.97352 | + | 0.873104i | 0.112469 | + | 0.0330238i | ||||
\(700\) | 1.54913 | − | 1.78779i | 0.0585515 | − | 0.0675720i | ||||
\(701\) | 10.5902 | + | 6.80588i | 0.399985 | + | 0.257055i | 0.725134 | − | 0.688608i | \(-0.241778\pi\) |
−0.325149 | + | 0.945663i | \(0.605414\pi\) | |||||||
\(702\) | 5.10527 | + | 3.28096i | 0.192686 | + | 0.123832i | ||||
\(703\) | −31.3352 | + | 36.1628i | −1.18183 | + | 1.36391i | ||||
\(704\) | 1.85543 | + | 0.544803i | 0.0699291 | + | 0.0205330i | ||||
\(705\) | −0.0435825 | − | 0.303123i | −0.00164141 | − | 0.0114163i | ||||
\(706\) | 15.3143 | + | 17.6737i | 0.576362 | + | 0.665157i | ||||
\(707\) | 15.2332 | + | 33.3560i | 0.572902 | + | 1.25448i | ||||
\(708\) | −3.32201 | + | 0.975429i | −0.124849 | + | 0.0366589i | ||||
\(709\) | −4.33736 | + | 9.49750i | −0.162893 | + | 0.356686i | −0.973424 | − | 0.229010i | \(-0.926451\pi\) |
0.810531 | + | 0.585696i | \(0.199179\pi\) | |||||||
\(710\) | −0.515835 | + | 3.58771i | −0.0193590 | + | 0.134644i | ||||
\(711\) | 4.57101 | − | 2.93761i | 0.171426 | − | 0.110169i | ||||
\(712\) | 10.5459 | 0.395225 | ||||||||
\(713\) | 3.39787 | − | 2.42843i | 0.127251 | − | 0.0909453i | ||||
\(714\) | −13.9624 | −0.522528 | ||||||||
\(715\) | 9.87237 | − | 6.34459i | 0.369206 | − | 0.237274i | ||||
\(716\) | 1.56051 | − | 10.8536i | 0.0583191 | − | 0.405618i | ||||
\(717\) | −0.516440 | + | 1.13085i | −0.0192868 | + | 0.0422322i | ||||
\(718\) | 0.321376 | − | 0.0943646i | 0.0119937 | − | 0.00352166i | ||||
\(719\) | −20.6825 | − | 45.2883i | −0.771327 | − | 1.68897i | −0.723710 | − | 0.690105i | \(-0.757565\pi\) |
−0.0476171 | − | 0.998866i | \(-0.515163\pi\) | |||||||
\(720\) | −0.654861 | − | 0.755750i | −0.0244052 | − | 0.0281651i | ||||
\(721\) | −0.384167 | − | 2.67194i | −0.0143071 | − | 0.0995082i | ||||
\(722\) | −54.0220 | − | 15.8623i | −2.01049 | − | 0.590333i | ||||
\(723\) | 15.9958 | − | 18.4601i | 0.594889 | − | 0.686538i | ||||
\(724\) | 17.1503 | + | 11.0218i | 0.637385 | + | 0.409622i | ||||
\(725\) | 4.57999 | + | 2.94338i | 0.170096 | + | 0.109314i | ||||
\(726\) | −4.75466 | + | 5.48718i | −0.176462 | + | 0.203648i | ||||
\(727\) | 11.9834 | + | 3.51866i | 0.444441 | + | 0.130500i | 0.496293 | − | 0.868155i | \(-0.334694\pi\) |
−0.0518517 | + | 0.998655i | \(0.516512\pi\) | |||||||
\(728\) | −2.04305 | − | 14.2098i | −0.0757206 | − | 0.526649i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 1.63456 | + | 3.57920i | 0.0604979 | + | 0.132472i | ||||
\(731\) | 63.4118 | − | 18.6194i | 2.34537 | − | 0.688663i | ||||
\(732\) | 5.26912 | − | 11.5378i | 0.194752 | − | 0.426448i | ||||
\(733\) | −4.48168 | + | 31.1708i | −0.165535 | + | 1.15132i | 0.722442 | + | 0.691431i | \(0.243019\pi\) |
−0.887977 | + | 0.459888i | \(0.847890\pi\) | |||||||
\(734\) | −25.4141 | + | 16.3326i | −0.938051 | + | 0.602849i | ||||
\(735\) | 1.40403 | 0.0517883 | ||||||||
\(736\) | −0.915710 | − | 4.70760i | −0.0337535 | − | 0.173524i | ||||
\(737\) | −18.9756 | −0.698977 | ||||||||
\(738\) | 3.69254 | − | 2.37305i | 0.135924 | − | 0.0873532i | ||||
\(739\) | −0.857963 | + | 5.96727i | −0.0315607 | + | 0.219509i | −0.999498 | − | 0.0316825i | \(-0.989913\pi\) |
0.967937 | + | 0.251192i | \(0.0808225\pi\) | |||||||
\(740\) | 2.29066 | − | 5.01585i | 0.0842064 | − | 0.184386i | ||||
\(741\) | −50.5288 | + | 14.8366i | −1.85622 | + | 0.545036i | ||||
\(742\) | 6.98479 | + | 15.2945i | 0.256420 | + | 0.561481i | ||||
\(743\) | 14.3783 | + | 16.5934i | 0.527487 | + | 0.608753i | 0.955490 | − | 0.295025i | \(-0.0953279\pi\) |
−0.428002 | + | 0.903778i | \(0.640782\pi\) | |||||||
\(744\) | 0.123935 | + | 0.861987i | 0.00454368 | + | 0.0316020i | ||||
\(745\) | 0.997459 | + | 0.292880i | 0.0365441 | + | 0.0107303i | ||||
\(746\) | −4.96379 | + | 5.72851i | −0.181737 | + | 0.209736i | ||||
\(747\) | 3.26797 | + | 2.10020i | 0.119569 | + | 0.0768423i | ||||
\(748\) | 9.60174 | + | 6.17067i | 0.351075 | + | 0.225622i | ||||
\(749\) | 13.1371 | − | 15.1610i | 0.480019 | − | 0.553972i | ||||
\(750\) | 0.959493 | + | 0.281733i | 0.0350357 | + | 0.0102874i | ||||
\(751\) | −2.00583 | − | 13.9509i | −0.0731938 | − | 0.509074i | −0.993131 | − | 0.117008i | \(-0.962670\pi\) |
0.919937 | − | 0.392066i | \(-0.128239\pi\) | |||||||
\(752\) | 0.200545 | + | 0.231441i | 0.00731311 | + | 0.00843978i | ||||
\(753\) | −2.93592 | − | 6.42878i | −0.106991 | − | 0.234278i | ||||
\(754\) | 31.7009 | − | 9.30821i | 1.15448 | − | 0.338985i | ||||
\(755\) | −7.84212 | + | 17.1719i | −0.285404 | + | 0.624948i | ||||
\(756\) | −0.336657 | + | 2.34150i | −0.0122441 | + | 0.0851596i | ||||
\(757\) | −32.1908 | + | 20.6878i | −1.16999 | + | 0.751910i | −0.973521 | − | 0.228599i | \(-0.926586\pi\) |
−0.196474 | + | 0.980509i | \(0.562949\pi\) | |||||||
\(758\) | 8.03213 | 0.291740 | ||||||||
\(759\) | −9.01631 | − | 2.17093i | −0.327271 | − | 0.0787998i | ||||
\(760\) | 8.67771 | 0.314774 | ||||||||
\(761\) | −27.7911 | + | 17.8602i | −1.00743 | + | 0.647433i | −0.936725 | − | 0.350065i | \(-0.886160\pi\) |
−0.0706996 | + | 0.997498i | \(0.522523\pi\) | |||||||
\(762\) | −0.439522 | + | 3.05694i | −0.0159222 | + | 0.110741i | ||||
\(763\) | −11.7910 | + | 25.8187i | −0.426864 | + | 0.934701i | ||||
\(764\) | 18.4641 | − | 5.42156i | 0.668008 | − | 0.196145i | ||||
\(765\) | −2.45190 | − | 5.36891i | −0.0886487 | − | 0.194113i | ||||
\(766\) | −20.1259 | − | 23.2265i | −0.727179 | − | 0.839209i | ||||
\(767\) | −2.99020 | − | 20.7973i | −0.107970 | − | 0.750948i | ||||
\(768\) | 0.959493 | + | 0.281733i | 0.0346227 | + | 0.0101661i | ||||
\(769\) | −2.10266 | + | 2.42660i | −0.0758240 | + | 0.0875055i | −0.792394 | − | 0.610010i | \(-0.791166\pi\) |
0.716570 | + | 0.697515i | \(0.245711\pi\) | |||||||
\(770\) | 3.84829 | + | 2.47314i | 0.138683 | + | 0.0891259i | ||||
\(771\) | −0.211469 | − | 0.135903i | −0.00761587 | − | 0.00489442i | ||||
\(772\) | 3.29710 | − | 3.80506i | 0.118665 | − | 0.136947i | ||||
\(773\) | −0.133456 | − | 0.0391863i | −0.00480009 | − | 0.00140943i | 0.279332 | − | 0.960195i | \(-0.409887\pi\) |
−0.284132 | + | 0.958785i | \(0.591705\pi\) | |||||||
\(774\) | −1.59352 | − | 11.0832i | −0.0572779 | − | 0.398377i | ||||
\(775\) | −0.570286 | − | 0.658145i | −0.0204853 | − | 0.0236413i | ||||
\(776\) | −1.80163 | − | 3.94501i | −0.0646746 | − | 0.141618i | ||||
\(777\) | −12.5158 | + | 3.67497i | −0.449002 | + | 0.131839i | ||||
\(778\) | 11.9042 | − | 26.0666i | 0.426787 | − | 0.934534i | ||||
\(779\) | −5.42068 | + | 37.7016i | −0.194216 | + | 1.35080i | ||||
\(780\) | 5.10527 | − | 3.28096i | 0.182798 | − | 0.117477i | ||||
\(781\) | −7.00912 | −0.250806 | ||||||||
\(782\) | 2.64226 | − | 28.1828i | 0.0944870 | − | 1.00782i | ||||
\(783\) | −5.44424 | −0.194561 | ||||||||
\(784\) | −1.18114 | + | 0.759074i | −0.0421836 | + | 0.0271098i | ||||
\(785\) | 1.11524 | − | 7.75667i | 0.0398047 | − | 0.276847i | ||||
\(786\) | 6.24670 | − | 13.6784i | 0.222812 | − | 0.487891i | ||||
\(787\) | 7.01098 | − | 2.05861i | 0.249915 | − | 0.0733815i | −0.154376 | − | 0.988012i | \(-0.549337\pi\) |
0.404290 | + | 0.914631i | \(0.367519\pi\) | |||||||
\(788\) | 6.39405 | + | 14.0010i | 0.227779 | + | 0.498766i | ||||
\(789\) | −8.46439 | − | 9.76843i | −0.301340 | − | 0.347765i | ||||
\(790\) | −0.773278 | − | 5.37827i | −0.0275120 | − | 0.191350i | ||||
\(791\) | −41.1518 | − | 12.0833i | −1.46319 | − | 0.429631i | ||||
\(792\) | 1.26634 | − | 1.46144i | 0.0449975 | − | 0.0519299i | ||||
\(793\) | 64.7553 | + | 41.6157i | 2.29953 | + | 1.47782i | ||||
\(794\) | −19.4634 | − | 12.5083i | −0.690728 | − | 0.443904i | ||||
\(795\) | −4.65460 | + | 5.37169i | −0.165082 | + | 0.190514i | ||||
\(796\) | 15.3803 | + | 4.51608i | 0.545142 | + | 0.160068i | ||||
\(797\) | −1.40784 | − | 9.79175i | −0.0498683 | − | 0.346842i | −0.999445 | − | 0.0333073i | \(-0.989396\pi\) |
0.949577 | − | 0.313534i | \(-0.101513\pi\) | |||||||
\(798\) | −13.4429 | − | 15.5139i | −0.475872 | − | 0.549186i | ||||
\(799\) | 0.750871 | + | 1.64418i | 0.0265639 | + | 0.0581668i | ||||
\(800\) | −0.959493 | + | 0.281733i | −0.0339232 | + | 0.00996075i | ||||
\(801\) | 4.38093 | − | 9.59291i | 0.154793 | − | 0.338949i | ||||
\(802\) | −2.53139 | + | 17.6062i | −0.0893863 | + | 0.621696i | ||||
\(803\) | −6.40102 | + | 4.11369i | −0.225887 | + | 0.145169i | ||||
\(804\) | −9.81283 | −0.346072 | ||||||||
\(805\) | 1.05899 | − | 11.2954i | 0.0373246 | − | 0.398110i | ||||
\(806\) | −5.28489 | −0.186152 | ||||||||
\(807\) | −8.72324 | + | 5.60608i | −0.307073 | + | 0.197344i | ||||
\(808\) | 2.20607 | − | 15.3436i | 0.0776094 | − | 0.539786i | ||||
\(809\) | −10.2492 | + | 22.4426i | −0.360342 | + | 0.789040i | 0.639453 | + | 0.768830i | \(0.279161\pi\) |
−0.999796 | + | 0.0202098i | \(0.993567\pi\) | |||||||
\(810\) | −0.959493 | + | 0.281733i | −0.0337131 | + | 0.00989907i | ||||
\(811\) | −12.2349 | − | 26.7907i | −0.429626 | − | 0.940750i | −0.993387 | − | 0.114812i | \(-0.963373\pi\) |
0.563761 | − | 0.825938i | \(-0.309354\pi\) | |||||||
\(812\) | 8.43381 | + | 9.73314i | 0.295969 | + | 0.341566i | ||||
\(813\) | −2.82624 | − | 19.6569i | −0.0991205 | − | 0.689398i | ||||
\(814\) | 10.2311 | + | 3.00413i | 0.358600 | + | 0.105295i | ||||
\(815\) | −1.08790 | + | 1.25551i | −0.0381076 | + | 0.0439785i | ||||
\(816\) | 4.96532 | + | 3.19102i | 0.173821 | + | 0.111708i | ||||
\(817\) | 81.7409 | + | 52.5317i | 2.85975 | + | 1.83785i | ||||
\(818\) | −6.81929 | + | 7.86988i | −0.238431 | + | 0.275164i | ||||
\(819\) | −13.7744 | − | 4.04452i | −0.481315 | − | 0.141327i | ||||
\(820\) | −0.624667 | − | 4.34465i | −0.0218143 | − | 0.151722i | ||||
\(821\) | 7.84671 | + | 9.05559i | 0.273852 | + | 0.316042i | 0.875971 | − | 0.482365i | \(-0.160222\pi\) |
−0.602118 | + | 0.798407i | \(0.705676\pi\) | |||||||
\(822\) | 8.07758 | + | 17.6874i | 0.281738 | + | 0.616920i | ||||
\(823\) | −43.1008 | + | 12.6555i | −1.50240 | + | 0.441145i | −0.926475 | − | 0.376357i | \(-0.877177\pi\) |
−0.575926 | + | 0.817502i | \(0.695358\pi\) | |||||||
\(824\) | −0.474039 | + | 1.03800i | −0.0165139 | + | 0.0361604i | ||||
\(825\) | −0.275203 | + | 1.91408i | −0.00958133 | + | 0.0666396i | ||||
\(826\) | 6.89006 | − | 4.42798i | 0.239736 | − | 0.154069i | ||||
\(827\) | 1.80316 | 0.0627020 | 0.0313510 | − | 0.999508i | \(-0.490019\pi\) | ||||
0.0313510 | + | 0.999508i | \(0.490019\pi\) | |||||||
\(828\) | −4.66258 | − | 1.12265i | −0.162036 | − | 0.0390147i | ||||
\(829\) | 21.4460 | 0.744849 | 0.372425 | − | 0.928062i | \(-0.378527\pi\) | ||||
0.372425 | + | 0.928062i | \(0.378527\pi\) | |||||||
\(830\) | 3.26797 | − | 2.10020i | 0.113433 | − | 0.0728990i | ||||
\(831\) | −1.65836 | + | 11.5342i | −0.0575280 | + | 0.400116i | ||||
\(832\) | −2.52101 | + | 5.52024i | −0.0874002 | + | 0.191380i | ||||
\(833\) | −7.95129 | + | 2.33471i | −0.275496 | + | 0.0808929i | ||||
\(834\) | −1.09166 | − | 2.39040i | −0.0378011 | − | 0.0827728i | ||||
\(835\) | 7.90501 | + | 9.12287i | 0.273564 | + | 0.315710i | ||||
\(836\) | 2.38813 | + | 16.6098i | 0.0825952 | + | 0.574462i | ||||
\(837\) | 0.835576 | + | 0.245347i | 0.0288817 | + | 0.00848044i | ||||
\(838\) | −10.6642 | + | 12.3071i | −0.368388 | + | 0.425142i | ||||
\(839\) | −14.4428 | − | 9.28182i | −0.498620 | − | 0.320444i | 0.267044 | − | 0.963684i | \(-0.413953\pi\) |
−0.765664 | + | 0.643241i | \(0.777590\pi\) | |||||||
\(840\) | 1.99005 | + | 1.27893i | 0.0686634 | + | 0.0441273i | ||||
\(841\) | −0.418941 | + | 0.483484i | −0.0144463 | + | 0.0166719i | ||||
\(842\) | −16.3195 | − | 4.79183i | −0.562407 | − | 0.165137i | ||||
\(843\) | −3.14826 | − | 21.8966i | −0.108432 | − | 0.754160i | ||||
\(844\) | 12.9831 | + | 14.9833i | 0.446896 | + | 0.515745i | ||||
\(845\) | 9.89871 | + | 21.6752i | 0.340526 | + | 0.745648i | ||||
\(846\) | 0.293835 | − | 0.0862778i | 0.0101023 | − | 0.00296629i | ||||
\(847\) | 7.13495 | − | 15.6234i | 0.245160 | − | 0.536825i | ||||
\(848\) | 1.01154 | − | 7.03542i | 0.0347364 | − | 0.241597i | ||||
\(849\) | 17.3220 | − | 11.1322i | 0.594488 | − | 0.382054i | ||||
\(850\) | −5.90229 | −0.202447 | ||||||||
\(851\) | −5.04936 | − | 25.9584i | −0.173090 | − | 0.889843i | ||||
\(852\) | −3.62461 | −0.124177 | ||||||||
\(853\) | 13.9173 | − | 8.94411i | 0.476520 | − | 0.306241i | −0.280245 | − | 0.959929i | \(-0.590416\pi\) |
0.756764 | + | 0.653688i | \(0.226779\pi\) | |||||||
\(854\) | −4.27016 | + | 29.6996i | −0.146122 | + | 1.01630i | ||||
\(855\) | 3.60485 | − | 7.89352i | 0.123283 | − | 0.269953i | ||||
\(856\) | −8.13682 | + | 2.38919i | −0.278111 | + | 0.0816607i | ||||
\(857\) | −7.48590 | − | 16.3918i | −0.255714 | − | 0.559935i | 0.737619 | − | 0.675217i | \(-0.235950\pi\) |
−0.993333 | + | 0.115282i | \(0.963223\pi\) | |||||||
\(858\) | 7.68499 | + | 8.86895i | 0.262361 | + | 0.302781i | ||||
\(859\) | −2.54478 | − | 17.6994i | −0.0868269 | − | 0.603894i | −0.986056 | − | 0.166416i | \(-0.946781\pi\) |
0.899229 | − | 0.437479i | \(-0.144128\pi\) | |||||||
\(860\) | −10.7436 | − | 3.15460i | −0.366353 | − | 0.107571i | ||||
\(861\) | −6.79963 | + | 7.84719i | −0.231731 | + | 0.267431i | ||||
\(862\) | −22.0026 | − | 14.1402i | −0.749412 | − | 0.481618i | ||||
\(863\) | −24.0215 | − | 15.4377i | −0.817701 | − | 0.525505i | 0.0636465 | − | 0.997973i | \(-0.479727\pi\) |
−0.881348 | + | 0.472468i | \(0.843363\pi\) | |||||||
\(864\) | 0.654861 | − | 0.755750i | 0.0222788 | − | 0.0257111i | ||||
\(865\) | 21.4632 | + | 6.30215i | 0.729769 | + | 0.214280i | ||||
\(866\) | −4.07198 | − | 28.3212i | −0.138372 | − | 0.962395i | ||||
\(867\) | 11.6808 | + | 13.4803i | 0.396700 | + | 0.457817i | ||||
\(868\) | −0.855784 | − | 1.87390i | −0.0290472 | − | 0.0636045i | ||||
\(869\) | 10.0816 | − | 2.96023i | 0.341995 | − | 0.100419i | ||||
\(870\) | −2.26162 | + | 4.95225i | −0.0766761 | + | 0.167897i | ||||
\(871\) | 8.47493 | − | 58.9444i | 0.287162 | − | 1.99726i | ||||
\(872\) | 10.0939 | − | 6.48695i | 0.341822 | − | 0.219676i | ||||
\(873\) | −4.33693 | −0.146783 | ||||||||
\(874\) | 33.8585 | − | 24.1984i | 1.14528 | − | 0.818522i | ||||
\(875\) | −2.36558 | −0.0799712 | ||||||||
\(876\) | −3.31014 | + | 2.12730i | −0.111839 | + | 0.0718748i | ||||
\(877\) | −5.11434 | + | 35.5710i | −0.172699 | + | 1.20115i | 0.700452 | + | 0.713699i | \(0.252982\pi\) |
−0.873151 | + | 0.487449i | \(0.837927\pi\) | |||||||
\(878\) | −14.9439 | + | 32.7226i | −0.504333 | + | 1.10434i | ||||
\(879\) | −0.321967 | + | 0.0945382i | −0.0108597 | + | 0.00318869i | ||||
\(880\) | −0.803313 | − | 1.75901i | −0.0270797 | − | 0.0592962i | ||||
\(881\) | 14.8268 | + | 17.1110i | 0.499527 | + | 0.576485i | 0.948386 | − | 0.317118i | \(-0.102715\pi\) |
−0.448859 | + | 0.893602i | \(0.648170\pi\) | |||||||
\(882\) | 0.199814 | + | 1.38973i | 0.00672808 | + | 0.0467948i | ||||
\(883\) | 27.0218 | + | 7.93431i | 0.909355 | + | 0.267011i | 0.702769 | − | 0.711418i | \(-0.251947\pi\) |
0.206586 | + | 0.978429i | \(0.433765\pi\) | |||||||
\(884\) | −23.4564 | + | 27.0701i | −0.788925 | + | 0.910468i | ||||
\(885\) | 2.91263 | + | 1.87183i | 0.0979070 | + | 0.0629210i | ||||
\(886\) | −8.73528 | − | 5.61383i | −0.293468 | − | 0.188600i | ||||
\(887\) | 26.1943 | − | 30.2299i | 0.879519 | − | 1.01502i | −0.120233 | − | 0.992746i | \(-0.538364\pi\) |
0.999752 | − | 0.0222734i | \(-0.00709042\pi\) | |||||||
\(888\) | 5.29079 | + | 1.55352i | 0.177547 | + | 0.0521326i | ||||
\(889\) | −1.03973 | − | 7.23145i | −0.0348713 | − | 0.242535i | ||||
\(890\) | −6.90611 | − | 7.97008i | −0.231493 | − | 0.267158i | ||||
\(891\) | −0.803313 | − | 1.75901i | −0.0269120 | − | 0.0589290i | ||||
\(892\) | 19.8572 | − | 5.83060i | 0.664869 | − | 0.195223i | ||||
\(893\) | −1.10395 | + | 2.41731i | −0.0369423 | + | 0.0808923i | ||||
\(894\) | −0.147946 | + | 1.02899i | −0.00494806 | + | 0.0344145i | ||||
\(895\) | −9.22452 | + | 5.92824i | −0.308342 | + | 0.198159i | ||||
\(896\) | −2.36558 | −0.0790285 | ||||||||
\(897\) | 10.7705 | − | 27.0380i | 0.359616 | − | 0.902772i | ||||
\(898\) | 0.257106 | 0.00857974 | ||||||||
\(899\) | 3.98849 | − | 2.56324i | 0.133023 | − | 0.0854890i | ||||
\(900\) | −0.142315 | + | 0.989821i | −0.00474383 | + | 0.0329940i | ||||
\(901\) | 17.4275 | − | 38.1610i | 0.580595 | − | 1.27133i | ||||
\(902\) | 8.14409 | − | 2.39132i | 0.271169 | − | 0.0796223i | ||||
\(903\) | 11.0034 | + | 24.0941i | 0.366171 | + | 0.801802i | ||||
\(904\) | 11.8729 | + | 13.7021i | 0.394888 | + | 0.455725i | ||||
\(905\) | −2.90131 | − | 20.1791i | −0.0964428 | − | 0.670775i | ||||
\(906\) | −18.1131 | − | 5.31849i | −0.601768 | − | 0.176695i | ||||
\(907\) | 17.6971 | − | 20.4236i | 0.587623 | − | 0.678154i | −0.381602 | − | 0.924327i | \(-0.624628\pi\) |
0.969226 | + | 0.246173i | \(0.0791731\pi\) | |||||||
\(908\) | −22.7186 | − | 14.6004i | −0.753943 | − | 0.484530i | ||||
\(909\) | −13.0406 | − | 8.38067i | −0.432529 | − | 0.277969i | ||||
\(910\) | −9.40110 | + | 10.8494i | −0.311643 | + | 0.359656i | ||||
\(911\) | −33.0733 | − | 9.71120i | −1.09577 | − | 0.321747i | −0.316598 | − | 0.948560i | \(-0.602541\pi\) |
−0.779170 | + | 0.626813i | \(0.784359\pi\) | |||||||
\(912\) | 1.23497 | + | 8.58938i | 0.0408938 | + | 0.284423i | ||||
\(913\) | 4.91930 | + | 5.67717i | 0.162805 | + | 0.187887i | ||||
\(914\) | 13.4416 | + | 29.4331i | 0.444609 | + | 0.973559i | ||||
\(915\) | −12.1702 | + | 3.57350i | −0.402335 | + | 0.118136i | ||||
\(916\) | −10.0502 | + | 22.0069i | −0.332069 | + | 0.727129i | ||||
\(917\) | −5.06240 | + | 35.2098i | −0.167175 | + | 1.16273i | ||||
\(918\) | 4.96532 | − | 3.19102i | 0.163880 | − | 0.105319i | ||||
\(919\) | −7.51214 | −0.247803 | −0.123901 | − | 0.992295i | \(-0.539541\pi\) | ||||
−0.123901 | + | 0.992295i | \(0.539541\pi\) | |||||||
\(920\) | −2.95810 | + | 3.77487i | −0.0975258 | + | 0.124454i | ||||
\(921\) | 21.3598 | 0.703831 | ||||||||
\(922\) | 24.2667 | − | 15.5953i | 0.799182 | − | 0.513603i | ||||
\(923\) | 3.13042 | − | 21.7726i | 0.103039 | − | 0.716653i | ||||
\(924\) | −1.90030 | + | 4.16108i | −0.0625153 | + | 0.136889i | ||||
\(925\) | −5.29079 | + | 1.55352i | −0.173960 | + | 0.0510793i | ||||
\(926\) | −10.0434 | − | 21.9920i | −0.330047 | − | 0.722702i | ||||
\(927\) | 0.747275 | + | 0.862402i | 0.0245437 | + | 0.0283250i | ||||
\(928\) | −0.774796 | − | 5.38882i | −0.0254339 | − | 0.176897i | ||||
\(929\) | 37.4478 | + | 10.9957i | 1.22862 | + | 0.360756i | 0.830730 | − | 0.556676i | \(-0.187923\pi\) |
0.397893 | + | 0.917432i | \(0.369742\pi\) | |||||||
\(930\) | 0.570286 | − | 0.658145i | 0.0187004 | − | 0.0215814i | ||||
\(931\) | −10.2496 | − | 6.58702i | −0.335917 | − | 0.215881i | ||||
\(932\) | 2.60709 | + | 1.67547i | 0.0853980 | + | 0.0548820i | ||||
\(933\) | 2.75879 | − | 3.18382i | 0.0903189 | − | 0.104234i | ||||
\(934\) | −2.11425 | − | 0.620801i | −0.0691805 | − | 0.0203132i | ||||
\(935\) | −1.62433 | − | 11.2974i | −0.0531212 | − | 0.369466i | ||||
\(936\) | 3.97412 | + | 4.58638i | 0.129898 | + | 0.149910i | ||||
\(937\) | −17.9695 | − | 39.3477i | −0.587038 | − | 1.28543i | −0.937215 | − | 0.348751i | \(-0.886606\pi\) |
0.350177 | − | 0.936684i | \(-0.386121\pi\) | |||||||
\(938\) | 22.2727 | − | 6.53987i | 0.727231 | − | 0.213534i | ||||
\(939\) | −4.92813 | + | 10.7911i | −0.160824 | + | 0.352154i | ||||
\(940\) | 0.0435825 | − | 0.303123i | 0.00142151 | − | 0.00988679i | ||||
\(941\) | 36.3392 | − | 23.3538i | 1.18463 | − | 0.761312i | 0.208394 | − | 0.978045i | \(-0.433176\pi\) |
0.976231 | + | 0.216732i | \(0.0695399\pi\) | |||||||
\(942\) | 7.83644 | 0.255325 | ||||||||
\(943\) | −14.5527 | − | 15.2100i | −0.473900 | − | 0.495305i | ||||
\(944\) | −3.46225 | −0.112687 | ||||||||
\(945\) | 1.99005 | − | 1.27893i | 0.0647364 | − | 0.0416036i | ||||
\(946\) | 3.08149 | − | 21.4322i | 0.100188 | − | 0.696821i | ||||
\(947\) | −8.61904 | + | 18.8731i | −0.280081 | + | 0.613292i | −0.996427 | − | 0.0844528i | \(-0.973086\pi\) |
0.716346 | + | 0.697745i | \(0.245813\pi\) | |||||||
\(948\) | 5.21347 | − | 1.53081i | 0.169326 | − | 0.0497185i | ||||
\(949\) | −9.91960 | − | 21.7209i | −0.322004 | − | 0.705090i | ||||
\(950\) | −5.68269 | − | 6.55818i | −0.184371 | − | 0.212775i | ||||
\(951\) | −0.545359 | − | 3.79306i | −0.0176845 | − | 0.122998i | ||||
\(952\) | −13.3968 | − | 3.93365i | −0.434192 | − | 0.127490i | ||||
\(953\) | 18.7176 | − | 21.6013i | 0.606323 | − | 0.699733i | −0.366727 | − | 0.930328i | \(-0.619522\pi\) |
0.973050 | + | 0.230595i | \(0.0740672\pi\) | |||||||
\(954\) | −5.97943 | − | 3.84275i | −0.193591 | − | 0.124414i | ||||
\(955\) | −16.1888 | − | 10.4039i | −0.523856 | − | 0.336662i | ||||
\(956\) | −0.814116 | + | 0.939540i | −0.0263304 | + | 0.0303869i | ||||
\(957\) | −10.1014 | − | 2.96604i | −0.326532 | − | 0.0958784i | ||||
\(958\) | 0.238068 | + | 1.65580i | 0.00769164 | + | 0.0534965i | ||||
\(959\) | −30.1222 | − | 34.7628i | −0.972695 | − | 1.12255i | ||||
\(960\) | −0.415415 | − | 0.909632i | −0.0134075 | − | 0.0293582i | ||||
\(961\) | 29.0166 | − | 8.52005i | 0.936020 | − | 0.274840i | ||||
\(962\) | −13.9012 | + | 30.4394i | −0.448193 | + | 0.981406i | ||||
\(963\) | −1.20688 | + | 8.39401i | −0.0388911 | + | 0.270493i | ||||
\(964\) | 20.5486 | − | 13.2058i | 0.661827 | − | 0.425330i | ||||
\(965\) | −5.03481 | −0.162076 | ||||||||
\(966\) | 11.3311 | − | 0.559290i | 0.364573 | − | 0.0179948i | ||||
\(967\) | 18.6988 | 0.601313 | 0.300657 | − | 0.953732i | \(-0.402794\pi\) | ||||
0.300657 | + | 0.953732i | \(0.402794\pi\) | |||||||
\(968\) | −6.10798 | + | 3.92536i | −0.196318 | + | 0.126166i | ||||
\(969\) | −7.28914 | + | 50.6971i | −0.234161 | + | 1.62862i | ||||
\(970\) | −1.80163 | + | 3.94501i | −0.0578467 | + | 0.126667i | ||||
\(971\) | −31.1000 | + | 9.13179i | −0.998047 | + | 0.293053i | −0.739654 | − | 0.672987i | \(-0.765011\pi\) |
−0.258393 | + | 0.966040i | \(0.583193\pi\) | |||||||
\(972\) | −0.415415 | − | 0.909632i | −0.0133244 | − | 0.0291765i | ||||
\(973\) | 4.07091 | + | 4.69808i | 0.130507 | + | 0.150614i | ||||
\(974\) | −1.88059 | − | 13.0798i | −0.0602579 | − | 0.419103i | ||||
\(975\) | −5.82283 | − | 1.70974i | −0.186480 | − | 0.0547554i | ||||
\(976\) | 8.30625 | − | 9.58593i | 0.265877 | − | 0.306838i | ||||
\(977\) | −18.8319 | − | 12.1025i | −0.602485 | − | 0.387194i | 0.203547 | − | 0.979065i | \(-0.434753\pi\) |
−0.806032 | + | 0.591872i | \(0.798389\pi\) | |||||||
\(978\) | −1.39755 | − | 0.898152i | −0.0446888 | − | 0.0287197i | ||||
\(979\) | 13.3548 | − | 15.4122i | 0.426820 | − | 0.492576i | ||||
\(980\) | 1.34715 | + | 0.395560i | 0.0430332 | + | 0.0126357i | ||||
\(981\) | −1.70758 | − | 11.8765i | −0.0545189 | − | 0.379187i | ||||
\(982\) | −17.2838 | − | 19.9466i | −0.551549 | − | 0.636522i | ||||
\(983\) | 1.40398 | + | 3.07429i | 0.0447801 | + | 0.0980548i | 0.930700 | − | 0.365784i | \(-0.119199\pi\) |
−0.885920 | + | 0.463839i | \(0.846472\pi\) | |||||||
\(984\) | 4.21153 | − | 1.23662i | 0.134259 | − | 0.0394219i | ||||
\(985\) | 6.39405 | − | 14.0010i | 0.203731 | − | 0.446110i | ||||
\(986\) | 4.57307 | − | 31.8064i | 0.145636 | − | 1.01292i | ||||
\(987\) | −0.609434 | + | 0.391660i | −0.0193985 | + | 0.0124667i | ||||
\(988\) | −52.6620 | −1.67540 | ||||||||
\(989\) | −50.7159 | + | 17.6506i | −1.61267 | + | 0.561257i | ||||
\(990\) | −1.93376 | −0.0614589 | ||||||||
\(991\) | −13.1525 | + | 8.45260i | −0.417803 | + | 0.268506i | −0.732608 | − | 0.680651i | \(-0.761697\pi\) |
0.314805 | + | 0.949156i | \(0.398061\pi\) | |||||||
\(992\) | −0.123935 | + | 0.861987i | −0.00393494 | + | 0.0273681i | ||||
\(993\) | 0.698398 | − | 1.52928i | 0.0221630 | − | 0.0485302i | ||||
\(994\) | 8.22698 | − | 2.41566i | 0.260944 | − | 0.0766201i | ||||
\(995\) | −6.65896 | − | 14.5811i | −0.211103 | − | 0.462252i | ||||
\(996\) | 2.54390 | + | 2.93582i | 0.0806067 | + | 0.0930251i | ||||
\(997\) | −4.40118 | − | 30.6109i | −0.139387 | − | 0.969456i | −0.932703 | − | 0.360646i | \(-0.882556\pi\) |
0.793316 | − | 0.608810i | \(-0.208353\pi\) | |||||||
\(998\) | −0.346013 | − | 0.101599i | −0.0109529 | − | 0.00321605i | ||||
\(999\) | 3.61100 | − | 4.16732i | 0.114247 | − | 0.131848i |
(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 | 690.2.m.c.541.2 | yes | 20 | |
23.2 | even | 11 | inner | 690.2.m.c.301.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.c.301.2 | ✓ | 20 | 23.2 | even | 11 | inner | |
690.2.m.c.541.2 | yes | 20 | 1.1 | even | 1 | trivial |