Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(38,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 38.19 | ||
Character | \(\chi\) | \(=\) | 201.38 |
Dual form | 201.2.f.b.164.19 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30392 | − | 2.25846i | 0.922012 | − | 1.59697i | 0.125714 | − | 0.992067i | \(-0.459878\pi\) |
0.796298 | − | 0.604905i | \(-0.206789\pi\) | |||||||
\(3\) | 1.69795 | + | 0.341983i | 0.980314 | + | 0.197444i | ||||
\(4\) | −2.40042 | − | 4.15766i | −1.20021 | − | 2.07883i | ||||
\(5\) | −3.98713 | −1.78310 | −0.891549 | − | 0.452924i | \(-0.850381\pi\) | ||||
−0.891549 | + | 0.452924i | \(0.850381\pi\) | |||||||
\(6\) | 2.98635 | − | 3.38884i | 1.21917 | − | 1.38349i | ||||
\(7\) | 2.31524 | − | 1.33671i | 0.875079 | − | 0.505227i | 0.00604636 | − | 0.999982i | \(-0.498075\pi\) |
0.869033 | + | 0.494755i | \(0.164742\pi\) | |||||||
\(8\) | −7.30417 | −2.58241 | ||||||||
\(9\) | 2.76609 | + | 1.16134i | 0.922032 | + | 0.387115i | ||||
\(10\) | −5.19891 | + | 9.00477i | −1.64404 | + | 2.84756i | ||||
\(11\) | 2.06265 | + | 3.57261i | 0.621912 | + | 1.07718i | 0.989129 | + | 0.147048i | \(0.0469772\pi\) |
−0.367217 | + | 0.930135i | \(0.619690\pi\) | |||||||
\(12\) | −2.65396 | − | 7.88041i | −0.766132 | − | 2.27488i | ||||
\(13\) | 1.09982 | + | 0.634982i | 0.305035 | + | 0.176112i | 0.644703 | − | 0.764433i | \(-0.276981\pi\) |
−0.339667 | + | 0.940546i | \(0.610314\pi\) | |||||||
\(14\) | − | 6.97184i | − | 1.86330i | ||||||
\(15\) | −6.76996 | − | 1.36353i | −1.74800 | − | 0.352062i | ||||
\(16\) | −4.72322 | + | 8.18085i | −1.18080 | + | 2.04521i | ||||
\(17\) | 1.45732 | + | 0.841382i | 0.353451 | + | 0.204065i | 0.666204 | − | 0.745769i | \(-0.267918\pi\) |
−0.312753 | + | 0.949834i | \(0.601251\pi\) | |||||||
\(18\) | 6.22962 | − | 4.73281i | 1.46833 | − | 1.11553i | ||||
\(19\) | 0.716358 | − | 1.24077i | 0.164344 | − | 0.284652i | −0.772078 | − | 0.635528i | \(-0.780783\pi\) |
0.936422 | + | 0.350876i | \(0.114116\pi\) | |||||||
\(20\) | 9.57080 | + | 16.5771i | 2.14010 | + | 3.70675i | ||||
\(21\) | 4.38830 | − | 1.47789i | 0.957607 | − | 0.322502i | ||||
\(22\) | 10.7581 | 2.29364 | ||||||||
\(23\) | −4.35792 | − | 2.51605i | −0.908690 | − | 0.524632i | −0.0286803 | − | 0.999589i | \(-0.509130\pi\) |
−0.880009 | + | 0.474956i | \(0.842464\pi\) | |||||||
\(24\) | −12.4021 | − | 2.49790i | −2.53158 | − | 0.509882i | ||||
\(25\) | 10.8972 | 2.17944 | ||||||||
\(26\) | 2.86816 | − | 1.65593i | 0.562492 | − | 0.324755i | ||||
\(27\) | 4.29954 | + | 2.91787i | 0.827447 | + | 0.561544i | ||||
\(28\) | −11.1151 | − | 6.41732i | −2.10056 | − | 1.21276i | ||||
\(29\) | −1.28781 | + | 0.743520i | −0.239141 | + | 0.138068i | −0.614782 | − | 0.788697i | \(-0.710756\pi\) |
0.375641 | + | 0.926765i | \(0.377423\pi\) | |||||||
\(30\) | −11.9070 | + | 13.5117i | −2.17391 | + | 2.46690i | ||||
\(31\) | −7.70707 | + | 4.44968i | −1.38423 | + | 0.799186i | −0.992657 | − | 0.120961i | \(-0.961403\pi\) |
−0.391574 | + | 0.920147i | \(0.628069\pi\) | |||||||
\(32\) | 5.01324 | + | 8.68319i | 0.886225 | + | 1.53499i | ||||
\(33\) | 2.28051 | + | 6.77152i | 0.396986 | + | 1.17877i | ||||
\(34\) | 3.80045 | − | 2.19419i | 0.651772 | − | 0.376301i | ||||
\(35\) | −9.23117 | + | 5.32962i | −1.56035 | + | 0.900870i | ||||
\(36\) | −1.81133 | − | 14.2882i | −0.301889 | − | 2.38136i | ||||
\(37\) | −0.0952630 | + | 0.165000i | −0.0156611 | + | 0.0271259i | −0.873750 | − | 0.486376i | \(-0.838319\pi\) |
0.858089 | + | 0.513502i | \(0.171652\pi\) | |||||||
\(38\) | −1.86815 | − | 3.23573i | −0.303054 | − | 0.524905i | ||||
\(39\) | 1.65029 | + | 1.45429i | 0.264258 | + | 0.232873i | ||||
\(40\) | 29.1227 | 4.60470 | ||||||||
\(41\) | −0.545494 | − | 0.944823i | −0.0851918 | − | 0.147557i | 0.820281 | − | 0.571961i | \(-0.193817\pi\) |
−0.905473 | + | 0.424404i | \(0.860484\pi\) | |||||||
\(42\) | 2.38425 | − | 11.8379i | 0.367898 | − | 1.82662i | ||||
\(43\) | 2.84850i | 0.434392i | 0.976128 | + | 0.217196i | \(0.0696911\pi\) | ||||
−0.976128 | + | 0.217196i | \(0.930309\pi\) | |||||||
\(44\) | 9.90246 | − | 17.1516i | 1.49285 | − | 2.58570i | ||||
\(45\) | −11.0288 | − | 4.63043i | −1.64407 | − | 0.690263i | ||||
\(46\) | −11.3648 | + | 6.56146i | −1.67565 | + | 0.967434i | ||||
\(47\) | −5.34630 | + | 3.08669i | −0.779838 | + | 0.450239i | −0.836373 | − | 0.548161i | \(-0.815328\pi\) |
0.0565351 | + | 0.998401i | \(0.481995\pi\) | |||||||
\(48\) | −10.8175 | + | 12.2755i | −1.56137 | + | 1.77181i | ||||
\(49\) | 0.0735628 | − | 0.127414i | 0.0105090 | − | 0.0182021i | ||||
\(50\) | 14.2091 | − | 24.6109i | 2.00947 | − | 3.48050i | ||||
\(51\) | 2.18672 | + | 1.92701i | 0.306202 | + | 0.269835i | ||||
\(52\) | − | 6.09690i | − | 0.845488i | ||||||
\(53\) | −0.507050 | −0.0696487 | −0.0348243 | − | 0.999393i | \(-0.511087\pi\) | ||||
−0.0348243 | + | 0.999393i | \(0.511087\pi\) | |||||||
\(54\) | 12.1961 | − | 5.90567i | 1.65969 | − | 0.803660i | ||||
\(55\) | −8.22405 | − | 14.2445i | −1.10893 | − | 1.92072i | ||||
\(56\) | −16.9109 | + | 9.76352i | −2.25982 | + | 1.30471i | ||||
\(57\) | 1.64067 | − | 1.86179i | 0.217311 | − | 0.246600i | ||||
\(58\) | 3.87797i | 0.509202i | ||||||||
\(59\) | 5.37397i | 0.699631i | 0.936819 | + | 0.349816i | \(0.113756\pi\) | ||||
−0.936819 | + | 0.349816i | \(0.886244\pi\) | |||||||
\(60\) | 10.5817 | + | 31.4202i | 1.36609 | + | 4.05633i | ||||
\(61\) | 1.26032 | + | 0.727645i | 0.161367 | + | 0.0931653i | 0.578509 | − | 0.815676i | \(-0.303635\pi\) |
−0.417142 | + | 0.908841i | \(0.636968\pi\) | |||||||
\(62\) | 23.2081i | 2.94744i | ||||||||
\(63\) | 7.95655 | − | 1.00866i | 1.00243 | − | 0.127080i | ||||
\(64\) | 7.25463 | 0.906829 | ||||||||
\(65\) | −4.38513 | − | 2.53175i | −0.543908 | − | 0.314026i | ||||
\(66\) | 18.2668 | + | 3.67910i | 2.24849 | + | 0.452866i | ||||
\(67\) | −3.22303 | − | 7.52410i | −0.393755 | − | 0.919215i | ||||
\(68\) | − | 8.07869i | − | 0.979685i | ||||||
\(69\) | −6.53911 | − | 5.76247i | −0.787216 | − | 0.693720i | ||||
\(70\) | 27.7976i | 3.32245i | ||||||||
\(71\) | 13.2475 | − | 7.64844i | 1.57219 | − | 0.907703i | 0.576287 | − | 0.817247i | \(-0.304501\pi\) |
0.995900 | − | 0.0904556i | \(-0.0288323\pi\) | |||||||
\(72\) | −20.2040 | − | 8.48265i | −2.38107 | − | 0.999690i | ||||
\(73\) | −1.84101 | + | 3.18873i | −0.215474 | + | 0.373213i | −0.953419 | − | 0.301648i | \(-0.902463\pi\) |
0.737945 | + | 0.674861i | \(0.235796\pi\) | |||||||
\(74\) | 0.248431 | + | 0.430295i | 0.0288795 | + | 0.0500208i | ||||
\(75\) | 18.5030 | + | 3.72666i | 2.13654 | + | 0.430318i | ||||
\(76\) | −6.87825 | −0.788990 | ||||||||
\(77\) | 9.55106 | + | 5.51431i | 1.08844 | + | 0.628414i | ||||
\(78\) | 5.43630 | − | 1.83084i | 0.615540 | − | 0.207301i | ||||
\(79\) | 2.89899 | − | 1.67373i | 0.326162 | − | 0.188310i | −0.327974 | − | 0.944687i | \(-0.606366\pi\) |
0.654136 | + | 0.756377i | \(0.273032\pi\) | |||||||
\(80\) | 18.8321 | − | 32.6181i | 2.10549 | − | 3.64682i | ||||
\(81\) | 6.30256 | + | 6.42477i | 0.700285 | + | 0.713864i | ||||
\(82\) | −2.84512 | −0.314191 | ||||||||
\(83\) | −6.39408 | − | 3.69162i | −0.701841 | − | 0.405208i | 0.106191 | − | 0.994346i | \(-0.466134\pi\) |
−0.808033 | + | 0.589137i | \(0.799468\pi\) | |||||||
\(84\) | −16.6783 | − | 14.6975i | −1.81976 | − | 1.60363i | ||||
\(85\) | −5.81051 | − | 3.35470i | −0.630238 | − | 0.363868i | ||||
\(86\) | 6.43322 | + | 3.71422i | 0.693712 | + | 0.400515i | ||||
\(87\) | −2.44092 | + | 0.822051i | −0.261694 | + | 0.0881332i | ||||
\(88\) | −15.0659 | − | 26.0950i | −1.60603 | − | 2.78173i | ||||
\(89\) | − | 11.8581i | − | 1.25696i | −0.777826 | − | 0.628479i | \(-0.783678\pi\) | ||
0.777826 | − | 0.628479i | \(-0.216322\pi\) | |||||||
\(90\) | −24.8383 | + | 18.8703i | −2.61819 | + | 1.98911i | ||||
\(91\) | 3.39513 | 0.355907 | ||||||||
\(92\) | 24.1583i | 2.51868i | ||||||||
\(93\) | −14.6080 | + | 4.91966i | −1.51478 | + | 0.510145i | ||||
\(94\) | 16.0992i | 1.66050i | ||||||||
\(95\) | −2.85621 | + | 4.94711i | −0.293041 | + | 0.507562i | ||||
\(96\) | 5.54275 | + | 16.4581i | 0.565705 | + | 1.67975i | ||||
\(97\) | −8.00169 | − | 4.61978i | −0.812448 | − | 0.469067i | 0.0353570 | − | 0.999375i | \(-0.488743\pi\) |
−0.847805 | + | 0.530307i | \(0.822077\pi\) | |||||||
\(98\) | −0.191840 | − | 0.332277i | −0.0193788 | − | 0.0335650i | ||||
\(99\) | 1.55645 | + | 12.2776i | 0.156429 | + | 1.23395i | ||||
\(100\) | −26.1579 | − | 45.3068i | −2.61579 | − | 4.53068i | ||||
\(101\) | 3.84842 | + | 6.66566i | 0.382932 | + | 0.663258i | 0.991480 | − | 0.130259i | \(-0.0415810\pi\) |
−0.608548 | + | 0.793517i | \(0.708248\pi\) | |||||||
\(102\) | 7.20337 | − | 2.42595i | 0.713240 | − | 0.240205i | ||||
\(103\) | −2.14816 | − | 3.72072i | −0.211664 | − | 0.366613i | 0.740571 | − | 0.671978i | \(-0.234555\pi\) |
−0.952235 | + | 0.305365i | \(0.901222\pi\) | |||||||
\(104\) | −8.03328 | − | 4.63801i | −0.787728 | − | 0.454795i | ||||
\(105\) | −17.4967 | + | 5.89254i | −1.70751 | + | 0.575053i | ||||
\(106\) | −0.661154 | + | 1.14515i | −0.0642169 | + | 0.111227i | ||||
\(107\) | − | 11.7159i | − | 1.13262i | −0.824192 | − | 0.566310i | \(-0.808370\pi\) | ||
0.824192 | − | 0.566310i | \(-0.191630\pi\) | |||||||
\(108\) | 1.81076 | − | 24.8801i | 0.174240 | − | 2.39409i | ||||
\(109\) | 4.59638i | 0.440253i | 0.975471 | + | 0.220127i | \(0.0706471\pi\) | ||||
−0.975471 | + | 0.220127i | \(0.929353\pi\) | |||||||
\(110\) | −42.8941 | −4.08979 | ||||||||
\(111\) | −0.218180 | + | 0.247585i | −0.0207087 | + | 0.0234997i | ||||
\(112\) | 25.2542i | 2.38630i | ||||||||
\(113\) | −10.3169 | − | 17.8695i | −0.970536 | − | 1.68102i | −0.693943 | − | 0.720030i | \(-0.744128\pi\) |
−0.276592 | − | 0.960987i | \(-0.589205\pi\) | |||||||
\(114\) | −2.06547 | − | 6.13300i | −0.193449 | − | 0.574408i | ||||
\(115\) | 17.3756 | + | 10.0318i | 1.62028 | + | 0.935471i | ||||
\(116\) | 6.18260 | + | 3.56952i | 0.574040 | + | 0.331422i | ||||
\(117\) | 2.30478 | + | 3.03369i | 0.213077 | + | 0.280465i | ||||
\(118\) | 12.1369 | + | 7.00723i | 1.11729 | + | 0.645068i | ||||
\(119\) | 4.49872 | 0.412397 | ||||||||
\(120\) | 49.4490 | + | 9.95947i | 4.51405 | + | 0.909171i | ||||
\(121\) | −3.00904 | + | 5.21181i | −0.273549 | + | 0.473801i | ||||
\(122\) | 3.28671 | − | 1.89758i | 0.297565 | − | 0.171799i | ||||
\(123\) | −0.603110 | − | 1.79082i | −0.0543806 | − | 0.161472i | ||||
\(124\) | 37.0005 | + | 21.3622i | 3.32274 | + | 1.91839i | ||||
\(125\) | −23.5129 | −2.10306 | ||||||||
\(126\) | 8.09670 | − | 19.2848i | 0.721311 | − | 1.71802i | ||||
\(127\) | −1.16871 | − | 2.02426i | −0.103706 | − | 0.179624i | 0.809503 | − | 0.587116i | \(-0.199737\pi\) |
−0.913209 | + | 0.407492i | \(0.866403\pi\) | |||||||
\(128\) | −0.567013 | + | 0.982095i | −0.0501173 | + | 0.0868058i | ||||
\(129\) | −0.974140 | + | 4.83662i | −0.0857682 | + | 0.425841i | ||||
\(130\) | −11.4357 | + | 6.60242i | −1.00298 | + | 0.579071i | ||||
\(131\) | 13.8766i | 1.21241i | 0.795310 | + | 0.606203i | \(0.207308\pi\) | ||||
−0.795310 | + | 0.606203i | \(0.792692\pi\) | |||||||
\(132\) | 22.6795 | − | 25.7361i | 1.97399 | − | 2.24004i | ||||
\(133\) | − | 3.83024i | − | 0.332124i | ||||||
\(134\) | −21.1954 | − | 2.53177i | −1.83101 | − | 0.218711i | ||||
\(135\) | −17.1428 | − | 11.6339i | −1.47542 | − | 1.00129i | ||||
\(136\) | −10.6445 | − | 6.14560i | −0.912757 | − | 0.526981i | ||||
\(137\) | 10.7784 | 0.920857 | 0.460429 | − | 0.887697i | \(-0.347696\pi\) | ||||
0.460429 | + | 0.887697i | \(0.347696\pi\) | |||||||
\(138\) | −21.5408 | + | 7.25449i | −1.83367 | + | 0.617543i | ||||
\(139\) | 16.5889i | 1.40705i | 0.710668 | + | 0.703527i | \(0.248393\pi\) | ||||
−0.710668 | + | 0.703527i | \(0.751607\pi\) | |||||||
\(140\) | 44.3174 | + | 25.5867i | 3.74551 | + | 2.16247i | ||||
\(141\) | −10.1334 | + | 3.41271i | −0.853383 | + | 0.287402i | ||||
\(142\) | − | 39.8919i | − | 3.34765i | ||||||
\(143\) | 5.23898i | 0.438105i | ||||||||
\(144\) | −22.5657 | + | 17.1437i | −1.88047 | + | 1.42864i | ||||
\(145\) | 5.13468 | − | 2.96451i | 0.426412 | − | 0.246189i | ||||
\(146\) | 4.80108 | + | 8.31571i | 0.397340 | + | 0.688213i | ||||
\(147\) | 0.168480 | − | 0.191187i | 0.0138960 | − | 0.0157688i | ||||
\(148\) | 0.914686 | 0.0751868 | ||||||||
\(149\) | 12.9701i | 1.06255i | 0.847198 | + | 0.531277i | \(0.178288\pi\) | ||||
−0.847198 | + | 0.531277i | \(0.821712\pi\) | |||||||
\(150\) | 32.5429 | − | 36.9289i | 2.65712 | − | 3.01523i | ||||
\(151\) | 7.77767 | − | 13.4713i | 0.632938 | − | 1.09628i | −0.354010 | − | 0.935242i | \(-0.615182\pi\) |
0.986948 | − | 0.161039i | \(-0.0514846\pi\) | |||||||
\(152\) | −5.23240 | + | 9.06279i | −0.424404 | + | 0.735089i | ||||
\(153\) | 3.05394 | + | 4.01979i | 0.246897 | + | 0.324981i | ||||
\(154\) | 24.9077 | − | 14.3804i | 2.00712 | − | 1.15881i | ||||
\(155\) | 30.7291 | − | 17.7415i | 2.46822 | − | 1.42503i | ||||
\(156\) | 2.08504 | − | 10.3523i | 0.166937 | − | 0.828844i | ||||
\(157\) | 0.223363 | − | 0.386877i | 0.0178263 | − | 0.0308761i | −0.856975 | − | 0.515359i | \(-0.827659\pi\) |
0.874801 | + | 0.484482i | \(0.160992\pi\) | |||||||
\(158\) | − | 8.72967i | − | 0.694495i | ||||||
\(159\) | −0.860948 | − | 0.173403i | −0.0682776 | − | 0.0137517i | ||||
\(160\) | −19.9885 | − | 34.6210i | −1.58023 | − | 2.73703i | ||||
\(161\) | −13.4529 | −1.06023 | ||||||||
\(162\) | 22.7281 | − | 5.85668i | 1.78569 | − | 0.460144i | ||||
\(163\) | 9.05511 | + | 15.6839i | 0.709251 | + | 1.22846i | 0.965135 | + | 0.261751i | \(0.0843001\pi\) |
−0.255884 | + | 0.966707i | \(0.582367\pi\) | |||||||
\(164\) | −2.61883 | + | 4.53595i | −0.204496 | + | 0.354198i | ||||
\(165\) | −9.09268 | − | 26.9989i | −0.707865 | − | 2.10186i | ||||
\(166\) | −16.6748 | + | 9.62718i | −1.29421 | + | 0.747214i | ||||
\(167\) | 9.56898 | − | 5.52465i | 0.740470 | − | 0.427510i | −0.0817703 | − | 0.996651i | \(-0.526057\pi\) |
0.822240 | + | 0.569141i | \(0.192724\pi\) | |||||||
\(168\) | −32.0529 | + | 10.7948i | −2.47294 | + | 0.832834i | ||||
\(169\) | −5.69360 | − | 9.86160i | −0.437969 | − | 0.758584i | ||||
\(170\) | −15.1529 | + | 8.74853i | −1.16217 | + | 0.670982i | ||||
\(171\) | 3.42247 | − | 2.60015i | 0.261723 | − | 0.198838i | ||||
\(172\) | 11.8431 | − | 6.83761i | 0.903027 | − | 0.521363i | ||||
\(173\) | 16.0167 | + | 9.24724i | 1.21773 | + | 0.703055i | 0.964431 | − | 0.264334i | \(-0.0851522\pi\) |
0.253295 | + | 0.967389i | \(0.418486\pi\) | |||||||
\(174\) | −1.32620 | + | 6.58461i | −0.100539 | + | 0.499178i | ||||
\(175\) | 25.2297 | − | 14.5664i | 1.90718 | − | 1.10111i | ||||
\(176\) | −38.9694 | −2.93743 | ||||||||
\(177\) | −1.83781 | + | 9.12475i | −0.138138 | + | 0.685858i | ||||
\(178\) | −26.7811 | − | 15.4621i | −2.00733 | − | 1.15893i | ||||
\(179\) | 16.5154 | 1.23442 | 0.617209 | − | 0.786799i | \(-0.288263\pi\) | ||||
0.617209 | + | 0.786799i | \(0.288263\pi\) | |||||||
\(180\) | 7.22202 | + | 56.9689i | 0.538298 | + | 4.24621i | ||||
\(181\) | −2.69930 | − | 4.67533i | −0.200638 | − | 0.347515i | 0.748096 | − | 0.663590i | \(-0.230968\pi\) |
−0.948734 | + | 0.316075i | \(0.897635\pi\) | |||||||
\(182\) | 4.42699 | − | 7.66777i | 0.328150 | − | 0.568373i | ||||
\(183\) | 1.89112 | + | 1.66651i | 0.139796 | + | 0.123192i | ||||
\(184\) | 31.8310 | + | 18.3776i | 2.34661 | + | 1.35482i | ||||
\(185\) | 0.379826 | − | 0.657878i | 0.0279254 | − | 0.0483682i | ||||
\(186\) | −7.93679 | + | 39.4063i | −0.581954 | + | 2.88941i | ||||
\(187\) | 6.94190i | 0.507642i | ||||||||
\(188\) | 25.6668 | + | 14.8187i | 1.87194 | + | 1.08077i | ||||
\(189\) | 13.8548 | + | 1.00834i | 1.00779 | + | 0.0733462i | ||||
\(190\) | 7.44856 | + | 12.9013i | 0.540375 | + | 0.935957i | ||||
\(191\) | 0.840312 | − | 1.45546i | 0.0608028 | − | 0.105314i | −0.834022 | − | 0.551732i | \(-0.813967\pi\) |
0.894824 | + | 0.446418i | \(0.147301\pi\) | |||||||
\(192\) | 12.3180 | + | 2.48096i | 0.888977 | + | 0.179048i | ||||
\(193\) | −18.9415 | −1.36344 | −0.681719 | − | 0.731614i | \(-0.738767\pi\) | ||||
−0.681719 | + | 0.731614i | \(0.738767\pi\) | |||||||
\(194\) | −20.8672 | + | 12.0477i | −1.49817 | + | 0.864971i | ||||
\(195\) | −6.57993 | − | 5.79844i | −0.471198 | − | 0.415235i | ||||
\(196\) | −0.706327 | −0.0504519 | ||||||||
\(197\) | 0.553490 | + | 0.958673i | 0.0394345 | + | 0.0683026i | 0.885069 | − | 0.465460i | \(-0.154111\pi\) |
−0.845635 | + | 0.533762i | \(0.820778\pi\) | |||||||
\(198\) | 29.7580 | + | 12.4939i | 2.11481 | + | 0.887902i | ||||
\(199\) | −7.35691 | + | 12.7425i | −0.521517 | + | 0.903295i | 0.478169 | + | 0.878268i | \(0.341301\pi\) |
−0.999687 | + | 0.0250271i | \(0.992033\pi\) | |||||||
\(200\) | −79.5950 | −5.62822 | ||||||||
\(201\) | −2.89943 | − | 13.8778i | −0.204510 | − | 0.978864i | ||||
\(202\) | 20.0722 | 1.41227 | ||||||||
\(203\) | −1.98773 | + | 3.44286i | −0.139512 | + | 0.241641i | ||||
\(204\) | 2.76278 | − | 13.7172i | 0.193433 | − | 0.960400i | ||||
\(205\) | 2.17495 | + | 3.76713i | 0.151905 | + | 0.263108i | ||||
\(206\) | −11.2041 | −0.780627 | ||||||||
\(207\) | −9.13243 | − | 12.0207i | −0.634748 | − | 0.835494i | ||||
\(208\) | −10.3894 | + | 5.99831i | −0.720374 | + | 0.415908i | ||||
\(209\) | 5.91038 | 0.408830 | ||||||||
\(210\) | −9.50632 | + | 47.1991i | −0.655998 | + | 3.25705i | ||||
\(211\) | 11.0526 | − | 19.1437i | 0.760893 | − | 1.31790i | −0.181498 | − | 0.983391i | \(-0.558095\pi\) |
0.942391 | − | 0.334514i | \(-0.108572\pi\) | |||||||
\(212\) | 1.21713 | + | 2.10814i | 0.0835932 | + | 0.144788i | ||||
\(213\) | 25.1093 | − | 8.45628i | 1.72046 | − | 0.579415i | ||||
\(214\) | −26.4599 | − | 15.2766i | −1.80876 | − | 1.04429i | ||||
\(215\) | − | 11.3573i | − | 0.774565i | ||||||
\(216\) | −31.4046 | − | 21.3126i | −2.13681 | − | 1.45014i | ||||
\(217\) | −11.8958 | + | 20.6042i | −0.807541 | + | 1.39870i | ||||
\(218\) | 10.3807 | + | 5.99332i | 0.703072 | + | 0.405919i | ||||
\(219\) | −4.21645 | + | 4.78472i | −0.284921 | + | 0.323322i | ||||
\(220\) | −39.4824 | + | 68.3855i | −2.66190 | + | 4.61055i | ||||
\(221\) | 1.06852 | + | 1.85074i | 0.0718767 | + | 0.124494i | ||||
\(222\) | 0.274671 | + | 0.815581i | 0.0184347 | + | 0.0547382i | ||||
\(223\) | 4.67733 | 0.313217 | 0.156609 | − | 0.987661i | \(-0.449944\pi\) | ||||
0.156609 | + | 0.987661i | \(0.449944\pi\) | |||||||
\(224\) | 23.2137 | + | 13.4025i | 1.55103 | + | 0.895489i | ||||
\(225\) | 30.1427 | + | 12.6554i | 2.00951 | + | 0.843693i | ||||
\(226\) | −53.8099 | −3.57938 | ||||||||
\(227\) | −21.6183 | + | 12.4813i | −1.43486 | + | 0.828415i | −0.997486 | − | 0.0708664i | \(-0.977424\pi\) |
−0.437371 | + | 0.899281i | \(0.644090\pi\) | |||||||
\(228\) | −11.6790 | − | 2.35225i | −0.773458 | − | 0.155781i | ||||
\(229\) | −19.0223 | − | 10.9825i | −1.25703 | − | 0.725747i | −0.284535 | − | 0.958666i | \(-0.591839\pi\) |
−0.972496 | + | 0.232918i | \(0.925172\pi\) | |||||||
\(230\) | 45.3128 | − | 26.1614i | 2.98784 | − | 1.72503i | ||||
\(231\) | 14.3315 | + | 12.6293i | 0.942941 | + | 0.830950i | ||||
\(232\) | 9.40641 | − | 5.43079i | 0.617561 | − | 0.356549i | ||||
\(233\) | −2.57563 | − | 4.46113i | −0.168735 | − | 0.292258i | 0.769240 | − | 0.638960i | \(-0.220635\pi\) |
−0.937975 | + | 0.346702i | \(0.887302\pi\) | |||||||
\(234\) | 9.85671 | − | 1.24955i | 0.644353 | − | 0.0816856i | ||||
\(235\) | 21.3164 | − | 12.3070i | 1.39053 | − | 0.802821i | ||||
\(236\) | 22.3431 | − | 12.8998i | 1.45441 | − | 0.839705i | ||||
\(237\) | 5.49474 | − | 1.85052i | 0.356922 | − | 0.120204i | ||||
\(238\) | 5.86598 | − | 10.1602i | 0.380235 | − | 0.658586i | ||||
\(239\) | −12.8185 | − | 22.2024i | −0.829163 | − | 1.43615i | −0.898696 | − | 0.438572i | \(-0.855484\pi\) |
0.0695333 | − | 0.997580i | \(-0.477849\pi\) | |||||||
\(240\) | 43.1309 | − | 48.9438i | 2.78409 | − | 3.15931i | ||||
\(241\) | 7.61285 | 0.490387 | 0.245194 | − | 0.969474i | \(-0.421148\pi\) | ||||
0.245194 | + | 0.969474i | \(0.421148\pi\) | |||||||
\(242\) | 7.84710 | + | 13.5916i | 0.504431 | + | 0.873699i | ||||
\(243\) | 8.50430 | + | 13.0643i | 0.545551 | + | 0.838078i | ||||
\(244\) | − | 6.98662i | − | 0.447273i | ||||||
\(245\) | −0.293304 | + | 0.508018i | −0.0187385 | + | 0.0324561i | ||||
\(246\) | −4.83089 | − | 0.972985i | −0.308006 | − | 0.0620352i | ||||
\(247\) | 1.57573 | − | 0.909749i | 0.100261 | − | 0.0578859i | ||||
\(248\) | 56.2938 | − | 32.5012i | 3.57466 | − | 2.06383i | ||||
\(249\) | −9.59438 | − | 8.45488i | −0.608019 | − | 0.535806i | ||||
\(250\) | −30.6590 | + | 53.1030i | −1.93905 | + | 3.35853i | ||||
\(251\) | 7.77883 | − | 13.4733i | 0.490995 | − | 0.850429i | −0.508951 | − | 0.860795i | \(-0.669967\pi\) |
0.999946 | + | 0.0103668i | \(0.00329990\pi\) | |||||||
\(252\) | −23.2928 | − | 30.6594i | −1.46731 | − | 1.93136i | ||||
\(253\) | − | 20.7589i | − | 1.30510i | ||||||
\(254\) | −6.09561 | −0.382472 | ||||||||
\(255\) | −8.71873 | − | 7.68322i | −0.545988 | − | 0.481142i | ||||
\(256\) | 8.73331 | + | 15.1265i | 0.545832 | + | 0.945409i | ||||
\(257\) | 9.43504 | − | 5.44732i | 0.588542 | − | 0.339795i | −0.175979 | − | 0.984394i | \(-0.556309\pi\) |
0.764521 | + | 0.644599i | \(0.222976\pi\) | |||||||
\(258\) | 9.65311 | + | 8.50663i | 0.600977 | + | 0.529600i | ||||
\(259\) | 0.509354i | 0.0316497i | ||||||||
\(260\) | 24.3091i | 1.50759i | ||||||||
\(261\) | −4.42570 | + | 0.561052i | −0.273944 | + | 0.0347282i | ||||
\(262\) | 31.3398 | + | 18.0940i | 1.93618 | + | 1.11785i | ||||
\(263\) | − | 23.9876i | − | 1.47914i | −0.673082 | − | 0.739568i | \(-0.735030\pi\) | ||
0.673082 | − | 0.739568i | \(-0.264970\pi\) | |||||||
\(264\) | −16.6572 | − | 49.4603i | −1.02518 | − | 3.04407i | ||||
\(265\) | 2.02167 | 0.124190 | ||||||||
\(266\) | −8.65044 | − | 4.99433i | −0.530392 | − | 0.306222i | ||||
\(267\) | 4.05528 | − | 20.1345i | 0.248179 | − | 1.23221i | ||||
\(268\) | −23.5460 | + | 31.4613i | −1.43830 | + | 1.92180i | ||||
\(269\) | 11.1989i | 0.682812i | 0.939916 | + | 0.341406i | \(0.110903\pi\) | ||||
−0.939916 | + | 0.341406i | \(0.889097\pi\) | |||||||
\(270\) | −48.6276 | + | 23.5467i | −2.95938 | + | 1.43300i | ||||
\(271\) | 6.42220i | 0.390121i | 0.980791 | + | 0.195061i | \(0.0624903\pi\) | ||||
−0.980791 | + | 0.195061i | \(0.937510\pi\) | |||||||
\(272\) | −13.7664 | + | 7.94806i | −0.834714 | + | 0.481922i | ||||
\(273\) | 5.76478 | + | 1.16108i | 0.348900 | + | 0.0702717i | ||||
\(274\) | 14.0541 | − | 24.3425i | 0.849041 | − | 1.47058i | ||||
\(275\) | 22.4771 | + | 38.9315i | 1.35542 | + | 2.34766i | ||||
\(276\) | −8.26174 | + | 41.0197i | −0.497298 | + | 2.46910i | ||||
\(277\) | −7.07781 | −0.425264 | −0.212632 | − | 0.977132i | \(-0.568204\pi\) | ||||
−0.212632 | + | 0.977132i | \(0.568204\pi\) | |||||||
\(278\) | 37.4654 | + | 21.6307i | 2.24703 | + | 1.29732i | ||||
\(279\) | −26.4861 | + | 3.35768i | −1.58568 | + | 0.201019i | ||||
\(280\) | 67.4260 | − | 38.9284i | 4.02948 | − | 2.32642i | ||||
\(281\) | −13.5841 | + | 23.5284i | −0.810362 | + | 1.40359i | 0.102249 | + | 0.994759i | \(0.467396\pi\) |
−0.912611 | + | 0.408829i | \(0.865937\pi\) | |||||||
\(282\) | −5.50565 | + | 27.3357i | −0.327857 | + | 1.62782i | ||||
\(283\) | 5.95188 | 0.353802 | 0.176901 | − | 0.984229i | \(-0.443393\pi\) | ||||
0.176901 | + | 0.984229i | \(0.443393\pi\) | |||||||
\(284\) | −63.5992 | − | 36.7190i | −3.77392 | − | 2.17887i | ||||
\(285\) | −6.54155 | + | 7.42318i | −0.387488 | + | 0.439711i | ||||
\(286\) | 11.8320 | + | 6.83122i | 0.699642 | + | 0.403938i | ||||
\(287\) | −2.52590 | − | 1.45833i | −0.149099 | − | 0.0860824i | ||||
\(288\) | 3.78294 | + | 29.8406i | 0.222912 | + | 1.75838i | ||||
\(289\) | −7.08415 | − | 12.2701i | −0.416715 | − | 0.721771i | ||||
\(290\) | − | 15.4620i | − | 0.907957i | ||||||
\(291\) | −12.0066 | − | 10.5806i | −0.703840 | − | 0.620246i | ||||
\(292\) | 17.6769 | 1.03446 | ||||||||
\(293\) | − | 2.47583i | − | 0.144640i | −0.997381 | − | 0.0723198i | \(-0.976960\pi\) | ||
0.997381 | − | 0.0723198i | \(-0.0230402\pi\) | |||||||
\(294\) | −0.212103 | − | 0.629797i | −0.0123701 | − | 0.0367305i | ||||
\(295\) | − | 21.4267i | − | 1.24751i | ||||||
\(296\) | 0.695817 | − | 1.20519i | 0.0404436 | − | 0.0700503i | ||||
\(297\) | −1.55596 | + | 21.3791i | −0.0902859 | + | 1.24054i | ||||
\(298\) | 29.2925 | + | 16.9120i | 1.69687 | + | 0.979688i | ||||
\(299\) | −3.19529 | − | 5.53440i | −0.184788 | − | 0.320063i | ||||
\(300\) | −28.9207 | − | 85.8745i | −1.66974 | − | 4.95796i | ||||
\(301\) | 3.80761 | + | 6.59497i | 0.219467 | + | 0.380128i | ||||
\(302\) | −20.2830 | − | 35.1311i | −1.16715 | − | 2.02157i | ||||
\(303\) | 4.25490 | + | 12.6341i | 0.244437 | + | 0.725809i | ||||
\(304\) | 6.76703 | + | 11.7208i | 0.388116 | + | 0.672237i | ||||
\(305\) | −5.02505 | − | 2.90121i | −0.287733 | − | 0.166123i | ||||
\(306\) | 13.0606 | − | 1.65571i | 0.746626 | − | 0.0946509i | ||||
\(307\) | 0.646308 | − | 1.11944i | 0.0368868 | − | 0.0638897i | −0.846993 | − | 0.531605i | \(-0.821589\pi\) |
0.883879 | + | 0.467715i | \(0.154923\pi\) | |||||||
\(308\) | − | 52.9467i | − | 3.01692i | ||||||
\(309\) | −2.37505 | − | 7.05224i | −0.135112 | − | 0.401188i | ||||
\(310\) | − | 92.5339i | − | 5.25557i | ||||||
\(311\) | 14.6319 | 0.829697 | 0.414848 | − | 0.909891i | \(-0.363835\pi\) | ||||
0.414848 | + | 0.909891i | \(0.363835\pi\) | |||||||
\(312\) | −12.0540 | − | 10.6224i | −0.682424 | − | 0.601374i | ||||
\(313\) | 20.7853i | 1.17486i | 0.809277 | + | 0.587428i | \(0.199859\pi\) | ||||
−0.809277 | + | 0.587428i | \(0.800141\pi\) | |||||||
\(314\) | −0.582497 | − | 1.00891i | −0.0328722 | − | 0.0569363i | ||||
\(315\) | −31.7238 | + | 4.02167i | −1.78743 | + | 0.226595i | ||||
\(316\) | −13.9176 | − | 8.03534i | −0.782927 | − | 0.452023i | ||||
\(317\) | 0.955962 | + | 0.551925i | 0.0536922 | + | 0.0309992i | 0.526606 | − | 0.850110i | \(-0.323464\pi\) |
−0.472914 | + | 0.881109i | \(0.656798\pi\) | |||||||
\(318\) | −1.51423 | + | 1.71831i | −0.0849139 | + | 0.0963581i | ||||
\(319\) | −5.31261 | − | 3.06724i | −0.297449 | − | 0.171732i | ||||
\(320\) | −28.9252 | −1.61697 | ||||||||
\(321\) | 4.00665 | − | 19.8931i | 0.223629 | − | 1.11032i | ||||
\(322\) | −17.5415 | + | 30.3827i | −0.977548 | + | 1.69316i | ||||
\(323\) | 2.08792 | − | 1.20546i | 0.116175 | − | 0.0670737i | ||||
\(324\) | 11.5832 | − | 41.6261i | 0.643510 | − | 2.31256i | ||||
\(325\) | 11.9850 | + | 6.91953i | 0.664807 | + | 0.383826i | ||||
\(326\) | 47.2286 | 2.61575 | ||||||||
\(327\) | −1.57189 | + | 7.80444i | −0.0869255 | + | 0.431587i | ||||
\(328\) | 3.98438 | + | 6.90115i | 0.220001 | + | 0.381052i | ||||
\(329\) | −8.25198 | + | 14.2929i | −0.454946 | + | 0.787990i | ||||
\(330\) | −72.8321 | − | 14.6690i | −4.00928 | − | 0.807504i | ||||
\(331\) | −12.9289 | + | 7.46451i | −0.710637 | + | 0.410287i | −0.811297 | − | 0.584634i | \(-0.801238\pi\) |
0.100660 | + | 0.994921i | \(0.467905\pi\) | |||||||
\(332\) | 35.4458i | 1.94534i | ||||||||
\(333\) | −0.455129 | + | 0.345774i | −0.0249409 | + | 0.0189483i | ||||
\(334\) | − | 28.8149i | − | 1.57668i | ||||||
\(335\) | 12.8506 | + | 29.9996i | 0.702105 | + | 1.63905i | ||||
\(336\) | −8.63651 | + | 42.8805i | −0.471160 | + | 2.33932i | ||||
\(337\) | 31.2826 | + | 18.0610i | 1.70407 | + | 0.983846i | 0.941545 | + | 0.336889i | \(0.109375\pi\) |
0.762526 | + | 0.646957i | \(0.223959\pi\) | |||||||
\(338\) | −29.6960 | −1.61525 | ||||||||
\(339\) | −11.4066 | − | 33.8697i | −0.619523 | − | 1.83955i | ||||
\(340\) | 32.2108i | 1.74688i | ||||||||
\(341\) | −31.7940 | − | 18.3563i | −1.72174 | − | 0.994047i | ||||
\(342\) | −1.40969 | − | 11.1199i | −0.0762271 | − | 0.601295i | ||||
\(343\) | 18.3205i | 0.989217i | ||||||||
\(344\) | − | 20.8059i | − | 1.12178i | ||||||
\(345\) | 26.0723 | + | 22.9757i | 1.40368 | + | 1.23697i | ||||
\(346\) | 41.7690 | − | 24.1154i | 2.24552 | − | 1.29645i | ||||
\(347\) | 6.05758 | + | 10.4920i | 0.325188 | + | 0.563242i | 0.981550 | − | 0.191204i | \(-0.0612392\pi\) |
−0.656363 | + | 0.754446i | \(0.727906\pi\) | |||||||
\(348\) | 9.27705 | + | 8.17523i | 0.497302 | + | 0.438238i | ||||
\(349\) | −22.1499 | −1.18566 | −0.592828 | − | 0.805329i | \(-0.701989\pi\) | ||||
−0.592828 | + | 0.805329i | \(0.701989\pi\) | |||||||
\(350\) | − | 75.9735i | − | 4.06096i | ||||||
\(351\) | 2.87593 | + | 5.93926i | 0.153506 | + | 0.317014i | ||||
\(352\) | −20.6811 | + | 35.8207i | −1.10231 | + | 1.90925i | ||||
\(353\) | 15.8762 | − | 27.4984i | 0.845006 | − | 1.46359i | −0.0406106 | − | 0.999175i | \(-0.512930\pi\) |
0.885616 | − | 0.464418i | \(-0.153736\pi\) | |||||||
\(354\) | 18.2115 | + | 16.0486i | 0.967931 | + | 0.852972i | ||||
\(355\) | −52.8195 | + | 30.4953i | −2.80337 | + | 1.61852i | ||||
\(356\) | −49.3020 | + | 28.4645i | −2.61300 | + | 1.50862i | ||||
\(357\) | 7.63862 | + | 1.53849i | 0.404279 | + | 0.0814254i | ||||
\(358\) | 21.5348 | − | 37.2993i | 1.13815 | − | 1.97133i | ||||
\(359\) | 29.7927i | 1.57240i | 0.617972 | + | 0.786200i | \(0.287955\pi\) | ||||
−0.617972 | + | 0.786200i | \(0.712045\pi\) | |||||||
\(360\) | 80.5561 | + | 33.8214i | 4.24568 | + | 1.78255i | ||||
\(361\) | 8.47366 | + | 14.6768i | 0.445982 | + | 0.772464i | ||||
\(362\) | −14.0787 | −0.739961 | ||||||||
\(363\) | −6.89156 | + | 7.82037i | −0.361713 | + | 0.410463i | ||||
\(364\) | −8.14976 | − | 14.1158i | −0.427163 | − | 0.739869i | ||||
\(365\) | 7.34037 | − | 12.7139i | 0.384212 | − | 0.665475i | ||||
\(366\) | 6.22962 | − | 2.09801i | 0.325628 | − | 0.109665i | ||||
\(367\) | −7.70294 | + | 4.44730i | −0.402090 | + | 0.232147i | −0.687386 | − | 0.726293i | \(-0.741242\pi\) |
0.285295 | + | 0.958440i | \(0.407908\pi\) | |||||||
\(368\) | 41.1668 | − | 23.7677i | 2.14597 | − | 1.23898i | ||||
\(369\) | −0.411624 | − | 3.24698i | −0.0214283 | − | 0.169031i | ||||
\(370\) | −0.990527 | − | 1.71564i | −0.0514950 | − | 0.0891920i | ||||
\(371\) | −1.17394 | + | 0.677777i | −0.0609481 | + | 0.0351884i | ||||
\(372\) | 55.5196 | + | 48.9256i | 2.87856 | + | 2.53668i | ||||
\(373\) | 19.6775 | − | 11.3608i | 1.01886 | − | 0.588240i | 0.105088 | − | 0.994463i | \(-0.466488\pi\) |
0.913774 | + | 0.406223i | \(0.133154\pi\) | |||||||
\(374\) | 15.6780 | + | 9.05170i | 0.810690 | + | 0.468052i | ||||
\(375\) | −39.9239 | − | 8.04102i | −2.06166 | − | 0.415237i | ||||
\(376\) | 39.0503 | − | 22.5457i | 2.01386 | − | 1.16270i | ||||
\(377\) | −1.88849 | −0.0972620 | ||||||||
\(378\) | 20.3429 | − | 29.9757i | 1.04633 | − | 1.54178i | ||||
\(379\) | 5.74113 | + | 3.31465i | 0.294902 | + | 0.170262i | 0.640151 | − | 0.768249i | \(-0.278872\pi\) |
−0.345248 | + | 0.938511i | \(0.612205\pi\) | |||||||
\(380\) | 27.4245 | 1.40685 | ||||||||
\(381\) | −1.29215 | − | 3.83678i | −0.0661987 | − | 0.196564i | ||||
\(382\) | −2.19140 | − | 3.79562i | −0.112122 | − | 0.194201i | ||||
\(383\) | 11.6445 | − | 20.1689i | 0.595007 | − | 1.03058i | −0.398539 | − | 0.917151i | \(-0.630483\pi\) |
0.993546 | − | 0.113431i | \(-0.0361841\pi\) | |||||||
\(384\) | −1.29862 | + | 1.47364i | −0.0662700 | + | 0.0752016i | ||||
\(385\) | −38.0813 | − | 21.9863i | −1.94080 | − | 1.12052i | ||||
\(386\) | −24.6982 | + | 42.7786i | −1.25711 | + | 2.17737i | ||||
\(387\) | −3.30809 | + | 7.87923i | −0.168160 | + | 0.400524i | ||||
\(388\) | 44.3577i | 2.25192i | ||||||||
\(389\) | 5.12663 | + | 2.95986i | 0.259930 | + | 0.150071i | 0.624303 | − | 0.781182i | \(-0.285383\pi\) |
−0.364372 | + | 0.931253i | \(0.618716\pi\) | |||||||
\(390\) | −21.6753 | + | 7.29978i | −1.09757 | + | 0.369639i | ||||
\(391\) | −4.23391 | − | 7.33336i | −0.214118 | − | 0.370864i | ||||
\(392\) | −0.537315 | + | 0.930657i | −0.0271385 | + | 0.0470053i | ||||
\(393\) | −4.74557 | + | 23.5619i | −0.239382 | + | 1.18854i | ||||
\(394\) | 2.88683 | 0.145436 | ||||||||
\(395\) | −11.5587 | + | 6.67339i | −0.581579 | + | 0.335775i | ||||
\(396\) | 47.3100 | − | 35.9427i | 2.37742 | − | 1.80619i | ||||
\(397\) | −24.6615 | −1.23773 | −0.618863 | − | 0.785499i | \(-0.712406\pi\) | ||||
−0.618863 | + | 0.785499i | \(0.712406\pi\) | |||||||
\(398\) | 19.1857 | + | 33.2305i | 0.961691 | + | 1.66570i | ||||
\(399\) | 1.30988 | − | 6.50357i | 0.0655759 | − | 0.325586i | ||||
\(400\) | −51.4699 | + | 89.1484i | −2.57349 | + | 4.45742i | ||||
\(401\) | 1.55700 | 0.0777529 | 0.0388764 | − | 0.999244i | \(-0.487622\pi\) | ||||
0.0388764 | + | 0.999244i | \(0.487622\pi\) | |||||||
\(402\) | −35.1231 | − | 11.5473i | −1.75178 | − | 0.575927i | ||||
\(403\) | −11.3019 | −0.562986 | ||||||||
\(404\) | 18.4757 | − | 32.0008i | 0.919199 | − | 1.59210i | ||||
\(405\) | −25.1291 | − | 25.6164i | −1.24868 | − | 1.27289i | ||||
\(406\) | 5.18370 | + | 8.97843i | 0.257263 | + | 0.445592i | ||||
\(407\) | −0.785977 | −0.0389594 | ||||||||
\(408\) | −15.9722 | − | 14.0752i | −0.790740 | − | 0.696825i | ||||
\(409\) | −13.8763 | + | 8.01146i | −0.686137 | + | 0.396141i | −0.802163 | − | 0.597105i | \(-0.796318\pi\) |
0.116026 | + | 0.993246i | \(0.462984\pi\) | |||||||
\(410\) | 11.3439 | 0.560234 | ||||||||
\(411\) | 18.3012 | + | 3.68602i | 0.902729 | + | 0.181818i | ||||
\(412\) | −10.3130 | + | 17.8626i | −0.508083 | + | 0.880026i | ||||
\(413\) | 7.18341 | + | 12.4420i | 0.353473 | + | 0.612233i | ||||
\(414\) | −39.0562 | + | 4.95120i | −1.91951 | + | 0.243338i | ||||
\(415\) | 25.4940 | + | 14.7190i | 1.25145 | + | 0.722526i | ||||
\(416\) | 12.7333i | 0.624300i | ||||||||
\(417\) | −5.67314 | + | 28.1672i | −0.277815 | + | 1.37936i | ||||
\(418\) | 7.70667 | − | 13.3484i | 0.376946 | − | 0.652889i | ||||
\(419\) | 6.22342 | + | 3.59309i | 0.304034 | + | 0.175534i | 0.644254 | − | 0.764812i | \(-0.277168\pi\) |
−0.340220 | + | 0.940346i | \(0.610501\pi\) | |||||||
\(420\) | 66.4987 | + | 58.6008i | 3.24481 | + | 2.85943i | ||||
\(421\) | 10.3786 | − | 17.9763i | 0.505824 | − | 0.876113i | −0.494153 | − | 0.869375i | \(-0.664522\pi\) |
0.999977 | − | 0.00673785i | \(-0.00214474\pi\) | |||||||
\(422\) | −28.8235 | − | 49.9237i | −1.40310 | − | 2.43025i | ||||
\(423\) | −18.3731 | + | 2.32918i | −0.893329 | + | 0.113249i | ||||
\(424\) | 3.70358 | 0.179862 | ||||||||
\(425\) | 15.8807 | + | 9.16871i | 0.770326 | + | 0.444748i | ||||
\(426\) | 13.6424 | − | 67.7346i | 0.660974 | − | 3.28175i | ||||
\(427\) | 3.89059 | 0.188279 | ||||||||
\(428\) | −48.7107 | + | 28.1232i | −2.35452 | + | 1.35938i | ||||
\(429\) | −1.79164 | + | 8.89554i | −0.0865013 | + | 0.429481i | ||||
\(430\) | −25.6501 | − | 14.8091i | −1.23696 | − | 0.714158i | ||||
\(431\) | −2.06094 | + | 1.18989i | −0.0992722 | + | 0.0573148i | −0.548814 | − | 0.835944i | \(-0.684921\pi\) |
0.449542 | + | 0.893259i | \(0.351587\pi\) | |||||||
\(432\) | −44.1783 | + | 21.3922i | −2.12553 | + | 1.02923i | ||||
\(433\) | 24.0212 | − | 13.8687i | 1.15439 | − | 0.666486i | 0.204434 | − | 0.978880i | \(-0.434464\pi\) |
0.949952 | + | 0.312395i | \(0.101131\pi\) | |||||||
\(434\) | 31.0224 | + | 53.7325i | 1.48913 | + | 2.57924i | ||||
\(435\) | 9.73226 | − | 3.27763i | 0.466626 | − | 0.157150i | ||||
\(436\) | 19.1102 | − | 11.0333i | 0.915211 | − | 0.528397i | ||||
\(437\) | −6.24367 | + | 3.60478i | −0.298675 | + | 0.172440i | ||||
\(438\) | 5.30818 | + | 15.7616i | 0.253634 | + | 0.753118i | ||||
\(439\) | 1.43073 | − | 2.47810i | 0.0682850 | − | 0.118273i | −0.829861 | − | 0.557969i | \(-0.811581\pi\) |
0.898146 | + | 0.439696i | \(0.144914\pi\) | |||||||
\(440\) | 60.0698 | + | 104.044i | 2.86372 | + | 4.96010i | ||||
\(441\) | 0.351454 | − | 0.267009i | 0.0167359 | − | 0.0127147i | ||||
\(442\) | 5.57309 | 0.265085 | ||||||||
\(443\) | 2.18531 | + | 3.78506i | 0.103827 | + | 0.179834i | 0.913258 | − | 0.407381i | \(-0.133558\pi\) |
−0.809431 | + | 0.587215i | \(0.800224\pi\) | |||||||
\(444\) | 1.55310 | + | 0.312807i | 0.0737066 | + | 0.0148452i | ||||
\(445\) | 47.2799i | 2.24128i | ||||||||
\(446\) | 6.09887 | − | 10.5636i | 0.288790 | − | 0.500199i | ||||
\(447\) | −4.43557 | + | 22.0227i | −0.209795 | + | 1.04164i | ||||
\(448\) | 16.7962 | − | 9.69731i | 0.793547 | − | 0.458155i | ||||
\(449\) | −30.0556 | + | 17.3526i | −1.41841 | + | 0.818920i | −0.996159 | − | 0.0875583i | \(-0.972094\pi\) |
−0.422252 | + | 0.906478i | \(0.638760\pi\) | |||||||
\(450\) | 67.8854 | − | 51.5744i | 3.20015 | − | 2.43124i | ||||
\(451\) | 2.25032 | − | 3.89767i | 0.105964 | − | 0.183534i | ||||
\(452\) | −49.5300 | + | 85.7885i | −2.32970 | + | 4.03515i | ||||
\(453\) | 17.8131 | − | 20.2139i | 0.836932 | − | 0.949730i | ||||
\(454\) | 65.0987i | 3.05523i | ||||||||
\(455\) | −13.5368 | −0.634617 | ||||||||
\(456\) | −11.9837 | + | 13.5988i | −0.561188 | + | 0.636822i | ||||
\(457\) | −12.3567 | − | 21.4025i | −0.578023 | − | 1.00117i | −0.995706 | − | 0.0925724i | \(-0.970491\pi\) |
0.417683 | − | 0.908593i | \(-0.362842\pi\) | |||||||
\(458\) | −49.6073 | + | 28.6408i | −2.31800 | + | 1.33830i | ||||
\(459\) | 3.81075 | + | 7.86981i | 0.177871 | + | 0.367331i | ||||
\(460\) | − | 96.3224i | − | 4.49105i | ||||||
\(461\) | − | 23.6217i | − | 1.10017i | −0.835108 | − | 0.550086i | \(-0.814595\pi\) | ||
0.835108 | − | 0.550086i | \(-0.185405\pi\) | |||||||
\(462\) | 47.2099 | − | 15.8993i | 2.19641 | − | 0.739704i | ||||
\(463\) | 1.61887 | + | 0.934654i | 0.0752351 | + | 0.0434370i | 0.537146 | − | 0.843490i | \(-0.319503\pi\) |
−0.461911 | + | 0.886927i | \(0.652836\pi\) | |||||||
\(464\) | − | 14.0472i | − | 0.652126i | ||||||
\(465\) | 58.2439 | − | 19.6153i | 2.70099 | − | 0.909639i | ||||
\(466\) | −13.4337 | −0.622304 | ||||||||
\(467\) | −20.8414 | − | 12.0328i | −0.964425 | − | 0.556811i | −0.0668928 | − | 0.997760i | \(-0.521309\pi\) |
−0.897532 | + | 0.440949i | \(0.854642\pi\) | |||||||
\(468\) | 7.08060 | − | 16.8646i | 0.327301 | − | 0.779567i | ||||
\(469\) | −17.5196 | − | 13.1119i | −0.808980 | − | 0.605450i | ||||
\(470\) | − | 64.1896i | − | 2.96084i | ||||||
\(471\) | 0.511566 | − | 0.580512i | 0.0235717 | − | 0.0267486i | ||||
\(472\) | − | 39.2524i | − | 1.80674i | ||||||
\(473\) | −10.1766 | + | 5.87546i | −0.467920 | + | 0.270154i | ||||
\(474\) | 2.98540 | − | 14.8226i | 0.137124 | − | 0.680824i | ||||
\(475\) | 7.80630 | − | 13.5209i | 0.358178 | − | 0.620382i | ||||
\(476\) | −10.7988 | − | 18.7041i | −0.494964 | − | 0.857302i | ||||
\(477\) | −1.40255 | − | 0.588859i | −0.0642183 | − | 0.0269620i | ||||
\(478\) | −66.8575 | −3.05799 | ||||||||
\(479\) | −20.4969 | − | 11.8339i | −0.936526 | − | 0.540703i | −0.0476562 | − | 0.998864i | \(-0.515175\pi\) |
−0.888870 | + | 0.458160i | \(0.848509\pi\) | |||||||
\(480\) | −22.0997 | − | 65.6206i | −1.00871 | − | 2.99516i | ||||
\(481\) | −0.209544 | + | 0.120981i | −0.00955441 | + | 0.00551624i | ||||
\(482\) | 9.92657 | − | 17.1933i | 0.452143 | − | 0.783134i | ||||
\(483\) | −22.8423 | − | 4.60065i | −1.03936 | − | 0.209337i | ||||
\(484\) | 28.8919 | 1.31327 | ||||||||
\(485\) | 31.9038 | + | 18.4197i | 1.44868 | + | 0.836393i | ||||
\(486\) | 40.5942 | − | 2.17173i | 1.84139 | − | 0.0985115i | ||||
\(487\) | 14.9932 | + | 8.65631i | 0.679405 | + | 0.392255i | 0.799631 | − | 0.600492i | \(-0.205029\pi\) |
−0.120226 | + | 0.992747i | \(0.538362\pi\) | |||||||
\(488\) | −9.20557 | − | 5.31484i | −0.416717 | − | 0.240591i | ||||
\(489\) | 10.0115 | + | 29.7273i | 0.452737 | + | 1.34431i | ||||
\(490\) | 0.764892 | + | 1.32483i | 0.0345543 | + | 0.0598498i | ||||
\(491\) | 28.2418i | 1.27453i | 0.770643 | + | 0.637267i | \(0.219935\pi\) | ||||
−0.770643 | + | 0.637267i | \(0.780065\pi\) | |||||||
\(492\) | −5.99787 | + | 6.80624i | −0.270405 | + | 0.306849i | ||||
\(493\) | −2.50234 | −0.112700 | ||||||||
\(494\) | − | 4.74497i | − | 0.213486i | ||||||
\(495\) | −6.20578 | − | 48.9525i | −0.278929 | − | 2.20025i | ||||
\(496\) | − | 84.0672i | − | 3.77473i | ||||||
\(497\) | 20.4474 | − | 35.4160i | 0.917192 | − | 1.58862i | ||||
\(498\) | −31.6053 | + | 10.6440i | −1.41627 | + | 0.476970i | ||||
\(499\) | 7.60167 | + | 4.38883i | 0.340298 | + | 0.196471i | 0.660404 | − | 0.750911i | \(-0.270385\pi\) |
−0.320106 | + | 0.947382i | \(0.603719\pi\) | |||||||
\(500\) | 56.4410 | + | 97.7586i | 2.52412 | + | 4.37190i | ||||
\(501\) | 18.1370 | − | 6.10817i | 0.810302 | − | 0.272893i | ||||
\(502\) | −20.2860 | − | 35.1363i | −0.905407 | − | 1.56821i | ||||
\(503\) | 2.04333 | + | 3.53916i | 0.0911077 | + | 0.157803i | 0.907977 | − | 0.419019i | \(-0.137626\pi\) |
−0.816870 | + | 0.576822i | \(0.804293\pi\) | |||||||
\(504\) | −58.1160 | + | 7.36745i | −2.58869 | + | 0.328172i | ||||
\(505\) | −15.3442 | − | 26.5769i | −0.682806 | − | 1.18265i | ||||
\(506\) | −46.8831 | − | 27.0680i | −2.08421 | − | 1.20332i | ||||
\(507\) | −6.29496 | − | 18.6917i | −0.279569 | − | 0.830125i | ||||
\(508\) | −5.61078 | + | 9.71816i | −0.248938 | + | 0.431174i | ||||
\(509\) | − | 13.7686i | − | 0.610281i | −0.952307 | − | 0.305140i | \(-0.901297\pi\) | ||
0.952307 | − | 0.305140i | \(-0.0987034\pi\) | |||||||
\(510\) | −28.7208 | + | 9.67257i | −1.27178 | + | 0.428308i | ||||
\(511\) | 9.84358i | 0.435454i | ||||||||
\(512\) | 43.2822 | 1.91282 | ||||||||
\(513\) | 6.70041 | − | 3.24450i | 0.295830 | − | 0.143248i | ||||
\(514\) | − | 28.4115i | − | 1.25318i | ||||||
\(515\) | 8.56498 | + | 14.8350i | 0.377418 | + | 0.653707i | ||||
\(516\) | 22.4474 | − | 7.55981i | 0.988190 | − | 0.332802i | ||||
\(517\) | −22.0551 | − | 12.7335i | −0.969981 | − | 0.560019i | ||||
\(518\) | 1.15036 | + | 0.664158i | 0.0505437 | + | 0.0291814i | ||||
\(519\) | 24.0332 | + | 21.1788i | 1.05494 | + | 0.929647i | ||||
\(520\) | 32.0297 | + | 18.4924i | 1.40460 | + | 0.810944i | ||||
\(521\) | −30.5151 | −1.33689 | −0.668446 | − | 0.743760i | \(-0.733040\pi\) | ||||
−0.668446 | + | 0.743760i | \(0.733040\pi\) | |||||||
\(522\) | −4.50365 | + | 10.7268i | −0.197119 | + | 0.469500i | ||||
\(523\) | 17.1849 | − | 29.7651i | 0.751443 | − | 1.30154i | −0.195680 | − | 0.980668i | \(-0.562692\pi\) |
0.947123 | − | 0.320870i | \(-0.103975\pi\) | |||||||
\(524\) | 57.6942 | − | 33.3098i | 2.52038 | − | 1.45514i | ||||
\(525\) | 47.8203 | − | 16.1049i | 2.08705 | − | 0.702874i | ||||
\(526\) | −54.1749 | − | 31.2779i | −2.36214 | − | 1.36378i | ||||
\(527\) | −14.9755 | −0.652344 | ||||||||
\(528\) | −66.1682 | − | 13.3269i | −2.87960 | − | 0.579977i | ||||
\(529\) | 1.16099 | + | 2.01090i | 0.0504779 | + | 0.0874302i | ||||
\(530\) | 2.63611 | − | 4.56587i | 0.114505 | − | 0.198329i | ||||
\(531\) | −6.24102 | + | 14.8649i | −0.270837 | + | 0.645082i | ||||
\(532\) | −15.9248 | + | 9.19420i | −0.690428 | + | 0.398619i | ||||
\(533\) | − | 1.38551i | − | 0.0600133i | ||||||
\(534\) | −40.1853 | − | 35.4125i | −1.73899 | − | 1.53245i | ||||
\(535\) | 46.7129i | 2.01957i | ||||||||
\(536\) | 23.5415 | + | 54.9573i | 1.01684 | + | 2.37379i | ||||
\(537\) | 28.0424 | + | 5.64799i | 1.21012 | + | 0.243729i | ||||
\(538\) | 25.2923 | + | 14.6025i | 1.09043 | + | 0.629560i | ||||
\(539\) | 0.606937 | 0.0261426 | ||||||||
\(540\) | −7.21973 | + | 99.2003i | −0.310688 | + | 4.26890i | ||||
\(541\) | 12.1738i | 0.523394i | 0.965150 | + | 0.261697i | \(0.0842822\pi\) | ||||
−0.965150 | + | 0.261697i | \(0.915718\pi\) | |||||||
\(542\) | 14.5043 | + | 8.37405i | 0.623012 | + | 0.359696i | ||||
\(543\) | −2.98441 | − | 8.86161i | −0.128073 | − | 0.380288i | ||||
\(544\) | 16.8722i | 0.723390i | ||||||||
\(545\) | − | 18.3264i | − | 0.785015i | ||||||
\(546\) | 10.1391 | − | 11.5056i | 0.433912 | − | 0.492393i | ||||
\(547\) | 9.98844 | − | 5.76683i | 0.427075 | − | 0.246572i | −0.271025 | − | 0.962572i | \(-0.587363\pi\) |
0.698100 | + | 0.716001i | \(0.254029\pi\) | |||||||
\(548\) | −25.8726 | − | 44.8127i | −1.10522 | − | 1.91430i | ||||
\(549\) | 2.64111 | + | 3.47640i | 0.112720 | + | 0.148369i | ||||
\(550\) | 117.234 | 4.99885 | ||||||||
\(551\) | 2.13051i | 0.0907626i | ||||||||
\(552\) | 47.7627 | + | 42.0901i | 2.03292 | + | 1.79147i | ||||
\(553\) | 4.47458 | − | 7.75020i | 0.190278 | − | 0.329572i | ||||
\(554\) | −9.22891 | + | 15.9849i | −0.392099 | + | 0.679135i | ||||
\(555\) | 0.869910 | − | 0.987152i | 0.0369256 | − | 0.0419023i | ||||
\(556\) | 68.9710 | − | 39.8205i | 2.92502 | − | 1.68876i | ||||
\(557\) | −10.4257 | + | 6.01930i | −0.441752 | + | 0.255046i | −0.704341 | − | 0.709862i | \(-0.748757\pi\) |
0.262588 | + | 0.964908i | \(0.415424\pi\) | |||||||
\(558\) | −26.9526 | + | 64.1959i | −1.14100 | + | 2.71763i | ||||
\(559\) | −1.80875 | + | 3.13284i | −0.0765018 | + | 0.132505i | ||||
\(560\) | − | 100.692i | − | 4.25500i | ||||||
\(561\) | −2.37401 | + | 11.7870i | −0.100231 | + | 0.497649i | ||||
\(562\) | 35.4253 | + | 61.3585i | 1.49433 | + | 2.58825i | ||||
\(563\) | 15.3211 | 0.645707 | 0.322854 | − | 0.946449i | \(-0.395358\pi\) | ||||
0.322854 | + | 0.946449i | \(0.395358\pi\) | |||||||
\(564\) | 38.5132 | + | 33.9391i | 1.62170 | + | 1.42909i | ||||
\(565\) | 41.1350 | + | 71.2478i | 1.73056 | + | 2.99742i | ||||
\(566\) | 7.76078 | − | 13.4421i | 0.326210 | − | 0.565012i | ||||
\(567\) | 23.1800 | + | 6.45023i | 0.973468 | + | 0.270884i | ||||
\(568\) | −96.7619 | + | 55.8655i | −4.06004 | + | 2.34406i | ||||
\(569\) | −17.2194 | + | 9.94160i | −0.721873 | + | 0.416773i | −0.815442 | − | 0.578839i | \(-0.803506\pi\) |
0.0935688 | + | 0.995613i | \(0.470172\pi\) | |||||||
\(570\) | 8.23529 | + | 24.4531i | 0.344938 | + | 1.02423i | ||||
\(571\) | −19.6769 | − | 34.0813i | −0.823451 | − | 1.42626i | −0.903097 | − | 0.429436i | \(-0.858712\pi\) |
0.0796464 | − | 0.996823i | \(-0.474621\pi\) | |||||||
\(572\) | 21.7819 | − | 12.5758i | 0.910745 | − | 0.525819i | ||||
\(573\) | 1.92455 | − | 2.18394i | 0.0803994 | − | 0.0912352i | ||||
\(574\) | −6.58715 | + | 3.80309i | −0.274942 | + | 0.158738i | ||||
\(575\) | −47.4892 | − | 27.4179i | −1.98044 | − | 1.14340i | ||||
\(576\) | 20.0670 | + | 8.42512i | 0.836125 | + | 0.351047i | ||||
\(577\) | −26.0094 | + | 15.0166i | −1.08279 | + | 0.625148i | −0.931647 | − | 0.363365i | \(-0.881628\pi\) |
−0.151140 | + | 0.988512i | \(0.548295\pi\) | |||||||
\(578\) | −36.9487 | −1.53686 | ||||||||
\(579\) | −32.1618 | − | 6.47767i | −1.33660 | − | 0.269203i | ||||
\(580\) | −24.6508 | − | 14.2322i | −1.02357 | − | 0.590958i | ||||
\(581\) | −19.7385 | −0.818889 | ||||||||
\(582\) | −39.5516 | + | 13.3201i | −1.63946 | + | 0.552138i | ||||
\(583\) | −1.04587 | − | 1.81149i | −0.0433154 | − | 0.0750244i | ||||
\(584\) | 13.4471 | − | 23.2910i | 0.556444 | − | 0.963790i | ||||
\(585\) | −9.18944 | − | 12.0957i | −0.379937 | − | 0.500096i | ||||
\(586\) | −5.59156 | − | 3.22829i | −0.230985 | − | 0.133359i | ||||
\(587\) | −3.44791 | + | 5.97195i | −0.142310 | + | 0.246489i | −0.928366 | − | 0.371667i | \(-0.878786\pi\) |
0.786056 | + | 0.618155i | \(0.212120\pi\) | |||||||
\(588\) | −1.19931 | − | 0.241552i | −0.0494588 | − | 0.00996144i | ||||
\(589\) | 12.7503i | 0.525365i | ||||||||
\(590\) | −48.3913 | − | 27.9387i | −1.99224 | − | 1.15022i | ||||
\(591\) | 0.611950 | + | 1.81707i | 0.0251723 | + | 0.0747441i | ||||
\(592\) | −0.899896 | − | 1.55867i | −0.0369855 | − | 0.0640608i | ||||
\(593\) | 12.6313 | − | 21.8781i | 0.518706 | − | 0.898425i | −0.481058 | − | 0.876689i | \(-0.659747\pi\) |
0.999764 | − | 0.0217360i | \(-0.00691932\pi\) | |||||||
\(594\) | 46.2550 | + | 31.3908i | 1.89787 | + | 1.28798i | ||||
\(595\) | −17.9370 | −0.735345 | ||||||||
\(596\) | 53.9254 | − | 31.1338i | 2.20887 | − | 1.27529i | ||||
\(597\) | −16.8494 | + | 19.1203i | −0.689601 | + | 0.782542i | ||||
\(598\) | −16.6656 | −0.681508 | ||||||||
\(599\) | −0.500165 | − | 0.866311i | −0.0204362 | − | 0.0353965i | 0.855626 | − | 0.517594i | \(-0.173172\pi\) |
−0.876063 | + | 0.482197i | \(0.839839\pi\) | |||||||
\(600\) | −135.149 | − | 27.2202i | −5.51742 | − | 1.11126i | ||||
\(601\) | 12.2160 | − | 21.1587i | 0.498299 | − | 0.863080i | −0.501699 | − | 0.865042i | \(-0.667291\pi\) |
0.999998 | + | 0.00196281i | \(0.000624783\pi\) | |||||||
\(602\) | 19.8593 | 0.809404 | ||||||||
\(603\) | −0.177132 | − | 24.5554i | −0.00721338 | − | 0.999974i | ||||
\(604\) | −74.6788 | −3.03864 | ||||||||
\(605\) | 11.9974 | − | 20.7801i | 0.487765 | − | 0.844833i | ||||
\(606\) | 34.0816 | + | 6.86434i | 1.38447 | + | 0.278845i | ||||
\(607\) | 17.6175 | + | 30.5144i | 0.715073 | + | 1.23854i | 0.962931 | + | 0.269746i | \(0.0869398\pi\) |
−0.247859 | + | 0.968796i | \(0.579727\pi\) | |||||||
\(608\) | 14.3651 | 0.582582 | ||||||||
\(609\) | −4.55248 | + | 5.16604i | −0.184476 | + | 0.209338i | ||||
\(610\) | −13.1045 | + | 7.56591i | −0.530587 | + | 0.306335i | ||||
\(611\) | −7.83996 | −0.317171 | ||||||||
\(612\) | 9.38214 | − | 22.3464i | 0.379250 | − | 0.903301i | ||||
\(613\) | −4.66642 | + | 8.08248i | −0.188475 | + | 0.326448i | −0.944742 | − | 0.327815i | \(-0.893688\pi\) |
0.756267 | + | 0.654263i | \(0.227021\pi\) | |||||||
\(614\) | −1.68547 | − | 2.91932i | −0.0680201 | − | 0.117814i | ||||
\(615\) | 2.40468 | + | 7.14021i | 0.0969659 | + | 0.287921i | ||||
\(616\) | −69.7626 | − | 40.2774i | −2.81081 | − | 1.62282i | ||||
\(617\) | 17.2988i | 0.696422i | 0.937416 | + | 0.348211i | \(0.113211\pi\) | ||||
−0.937416 | + | 0.348211i | \(0.886789\pi\) | |||||||
\(618\) | −19.0241 | − | 3.83162i | −0.765260 | − | 0.154130i | ||||
\(619\) | 1.54626 | − | 2.67819i | 0.0621492 | − | 0.107646i | −0.833277 | − | 0.552856i | \(-0.813538\pi\) |
0.895426 | + | 0.445211i | \(0.146871\pi\) | |||||||
\(620\) | −147.526 | − | 85.1740i | −5.92477 | − | 3.42067i | ||||
\(621\) | −11.3956 | − | 23.5337i | −0.457289 | − | 0.944374i | ||||
\(622\) | 19.0788 | − | 33.0454i | 0.764990 | − | 1.32500i | ||||
\(623\) | −15.8508 | − | 27.4544i | −0.635049 | − | 1.09994i | ||||
\(624\) | −19.6920 | + | 6.63187i | −0.788312 | + | 0.265487i | ||||
\(625\) | 39.2630 | 1.57052 | ||||||||
\(626\) | 46.9428 | + | 27.1024i | 1.87621 | + | 1.08323i | ||||
\(627\) | 10.0356 | + | 2.02125i | 0.400781 | + | 0.0807210i | ||||
\(628\) | −2.14467 | −0.0855815 | ||||||||
\(629\) | −0.277657 | + | 0.160305i | −0.0110709 | + | 0.00639179i | ||||
\(630\) | −32.2826 | + | 76.8909i | −1.28617 | + | 3.06340i | ||||
\(631\) | 31.6186 | + | 18.2550i | 1.25872 | + | 0.726720i | 0.972825 | − | 0.231542i | \(-0.0743770\pi\) |
0.285892 | + | 0.958262i | \(0.407710\pi\) | |||||||
\(632\) | −21.1747 | + | 12.2252i | −0.842286 | + | 0.486294i | ||||
\(633\) | 25.3136 | − | 28.7253i | 1.00613 | − | 1.14173i | ||||
\(634\) | 2.49300 | − | 1.43933i | 0.0990097 | − | 0.0571633i | ||||
\(635\) | 4.65979 | + | 8.07098i | 0.184918 | + | 0.320287i | ||||
\(636\) | 1.34569 | + | 3.99576i | 0.0533601 | + | 0.158442i | ||||
\(637\) | 0.161812 | − | 0.0934220i | 0.00641121 | − | 0.00370152i | ||||
\(638\) | −13.8545 | + | 7.99888i | −0.548504 | + | 0.316679i | ||||
\(639\) | 45.5263 | − | 5.77143i | 1.80099 | − | 0.228314i | ||||
\(640\) | 2.26075 | − | 3.91574i | 0.0893642 | − | 0.154783i | ||||
\(641\) | 19.0792 | + | 33.0462i | 0.753584 | + | 1.30525i | 0.946075 | + | 0.323947i | \(0.105010\pi\) |
−0.192491 | + | 0.981299i | \(0.561657\pi\) | |||||||
\(642\) | −39.7034 | − | 34.9879i | −1.56697 | − | 1.38086i | ||||
\(643\) | 40.5084 | 1.59750 | 0.798749 | − | 0.601665i | \(-0.205496\pi\) | ||||
0.798749 | + | 0.601665i | \(0.205496\pi\) | |||||||
\(644\) | 32.2926 | + | 55.9323i | 1.27250 | + | 2.20404i | ||||
\(645\) | 3.88402 | − | 19.2842i | 0.152933 | − | 0.759317i | ||||
\(646\) | − | 6.28731i | − | 0.247371i | ||||||
\(647\) | 5.69465 | − | 9.86342i | 0.223880 | − | 0.387771i | −0.732103 | − | 0.681194i | \(-0.761461\pi\) |
0.955983 | + | 0.293423i | \(0.0947944\pi\) | |||||||
\(648\) | −46.0350 | − | 46.9276i | −1.80843 | − | 1.84349i | ||||
\(649\) | −19.1991 | + | 11.0846i | −0.753631 | + | 0.435109i | ||||
\(650\) | 31.2549 | − | 18.0450i | 1.22592 | − | 0.707785i | ||||
\(651\) | −27.2448 | + | 30.9168i | −1.06781 | + | 1.21172i | ||||
\(652\) | 43.4722 | − | 75.2961i | 1.70250 | − | 2.94882i | ||||
\(653\) | 1.93131 | − | 3.34513i | 0.0755781 | − | 0.130905i | −0.825759 | − | 0.564023i | \(-0.809253\pi\) |
0.901338 | + | 0.433117i | \(0.142586\pi\) | |||||||
\(654\) | 15.5764 | + | 13.7264i | 0.609085 | + | 0.536745i | ||||
\(655\) | − | 55.3279i | − | 2.16184i | ||||||
\(656\) | 10.3059 | 0.402379 | ||||||||
\(657\) | −8.79563 | + | 6.68228i | −0.343150 | + | 0.260701i | ||||
\(658\) | 21.5199 | + | 37.2735i | 0.838932 | + | 1.45307i | ||||
\(659\) | 2.07318 | − | 1.19695i | 0.0807595 | − | 0.0466265i | −0.459076 | − | 0.888397i | \(-0.651820\pi\) |
0.539836 | + | 0.841770i | \(0.318486\pi\) | |||||||
\(660\) | −90.4260 | + | 102.613i | −3.51983 | + | 3.99421i | ||||
\(661\) | − | 1.09790i | − | 0.0427032i | −0.999772 | − | 0.0213516i | \(-0.993203\pi\) | ||
0.999772 | − | 0.0213516i | \(-0.00679694\pi\) | |||||||
\(662\) | 38.9326i | 1.51316i | ||||||||
\(663\) | 1.18138 | + | 3.50789i | 0.0458811 | + | 0.136235i | ||||
\(664\) | 46.7034 | + | 26.9642i | 1.81245 | + | 1.04642i | ||||
\(665\) | 15.2717i | 0.592210i | ||||||||
\(666\) | 0.187463 | + | 1.47875i | 0.00726406 | + | 0.0573004i | ||||
\(667\) | 7.48292 | 0.289740 | ||||||||
\(668\) | −45.9392 | − | 26.5230i | −1.77744 | − | 1.02621i | ||||
\(669\) | 7.94189 | + | 1.59957i | 0.307051 | + | 0.0618429i | ||||
\(670\) | 84.5090 | + | 10.0945i | 3.26487 | + | 0.389984i | ||||
\(671\) | 6.00350i | 0.231763i | ||||||||
\(672\) | 34.8324 | + | 30.6955i | 1.34369 | + | 1.18410i | ||||
\(673\) | − | 16.3002i | − | 0.628327i | −0.949369 | − | 0.314163i | \(-0.898276\pi\) | ||
0.949369 | − | 0.314163i | \(-0.101724\pi\) | |||||||
\(674\) | 81.5801 | − | 47.1003i | 3.14235 | − | 1.81423i | ||||
\(675\) | 46.8530 | + | 31.7966i | 1.80337 | + | 1.22385i | ||||
\(676\) | −27.3341 | + | 47.3440i | −1.05131 | + | 1.82092i | ||||
\(677\) | 18.2472 | + | 31.6051i | 0.701297 | + | 1.21468i | 0.968012 | + | 0.250906i | \(0.0807284\pi\) |
−0.266715 | + | 0.963775i | \(0.585938\pi\) | |||||||
\(678\) | −91.3667 | − | 18.4021i | −3.50892 | − | 0.706728i | ||||
\(679\) | −24.7011 | −0.947942 | ||||||||
\(680\) | 42.4410 | + | 24.5033i | 1.62754 | + | 0.939659i | ||||
\(681\) | −40.9753 | + | 13.7996i | −1.57018 | + | 0.528803i | ||||
\(682\) | −82.9137 | + | 47.8702i | −3.17493 | + | 1.83305i | ||||
\(683\) | 6.37382 | − | 11.0398i | 0.243887 | − | 0.422425i | −0.717931 | − | 0.696114i | \(-0.754911\pi\) |
0.961818 | + | 0.273689i | \(0.0882439\pi\) | |||||||
\(684\) | −19.0259 | − | 7.98801i | −0.727473 | − | 0.305429i | ||||
\(685\) | −42.9747 | −1.64198 | ||||||||
\(686\) | 41.3762 | + | 23.8886i | 1.57975 | + | 0.912069i | ||||
\(687\) | −28.5432 | − | 25.1532i | −1.08899 | − | 0.959654i | ||||
\(688\) | −23.3032 | − | 13.4541i | −0.888425 | − | 0.512933i | ||||
\(689\) | −0.557664 | − | 0.321968i | −0.0212453 | − | 0.0122660i | ||||
\(690\) | 85.8859 | − | 28.9246i | 3.26962 | − | 1.10114i | ||||
\(691\) | 11.4742 | + | 19.8739i | 0.436499 | + | 0.756039i | 0.997417 | − | 0.0718328i | \(-0.0228848\pi\) |
−0.560917 | + | 0.827872i | \(0.689551\pi\) | |||||||
\(692\) | − | 88.7892i | − | 3.37526i | ||||||
\(693\) | 20.0151 | + | 26.3452i | 0.760312 | + | 1.00077i | ||||
\(694\) | 31.5944 | 1.19931 | ||||||||
\(695\) | − | 66.1422i | − | 2.50892i | ||||||
\(696\) | 17.8289 | − | 6.00440i | 0.675802 | − | 0.227596i | ||||
\(697\) | − | 1.83587i | − | 0.0695387i | ||||||
\(698\) | −28.8817 | + | 50.0246i | −1.09319 | + | 1.89346i | ||||
\(699\) | −2.84767 | − | 8.45561i | −0.107709 | − | 0.319820i | ||||
\(700\) | −121.124 | − | 69.9308i | −4.57805 | − | 2.64314i | ||||
\(701\) | 15.1738 | + | 26.2817i | 0.573105 | + | 0.992647i | 0.996245 | + | 0.0865824i | \(0.0275946\pi\) |
−0.423140 | + | 0.906064i | \(0.639072\pi\) | |||||||
\(702\) | 17.1636 | + | 1.24915i | 0.647797 | + | 0.0471463i | ||||
\(703\) | 0.136485 | + | 0.236399i | 0.00514763 | + | 0.00891595i | ||||
\(704\) | 14.9638 | + | 25.9180i | 0.563968 | + | 0.976821i | ||||
\(705\) | 40.4030 | − | 13.6069i | 1.52167 | − | 0.512466i | ||||
\(706\) | −41.4027 | − | 71.7116i | −1.55821 | − | 2.69890i | ||||
\(707\) | 17.8200 | + | 10.2884i | 0.670192 | + | 0.386935i | ||||
\(708\) | 42.3491 | − | 14.2623i | 1.59158 | − | 0.536010i | ||||
\(709\) | −2.55059 | + | 4.41774i | −0.0957892 | + | 0.165912i | −0.909938 | − | 0.414745i | \(-0.863871\pi\) |
0.814148 | + | 0.580657i | \(0.197204\pi\) | |||||||
\(710\) | 159.054i | 5.96919i | ||||||||
\(711\) | 9.96267 | − | 1.26298i | 0.373629 | − | 0.0473655i | ||||
\(712\) | 86.6137i | 3.24599i | ||||||||
\(713\) | 44.7824 | 1.67712 | ||||||||
\(714\) | 13.4348 | − | 15.2454i | 0.502784 | − | 0.570546i | ||||
\(715\) | − | 20.8885i | − | 0.781185i | ||||||
\(716\) | −39.6439 | − | 68.6653i | −1.48156 | − | 2.56614i | ||||
\(717\) | −14.1725 | − | 42.0823i | −0.529280 | − | 1.57159i | ||||
\(718\) | 67.2857 | + | 38.8474i | 2.51108 | + | 1.44977i | ||||
\(719\) | 4.20791 | + | 2.42944i | 0.156928 | + | 0.0906027i | 0.576408 | − | 0.817162i | \(-0.304454\pi\) |
−0.419479 | + | 0.907765i | \(0.637787\pi\) | |||||||
\(720\) | 89.9722 | − | 68.3543i | 3.35307 | − | 2.54741i | ||||
\(721\) | −9.94700 | − | 5.74290i | −0.370446 | − | 0.213877i | ||||
\(722\) | 44.1960 | 1.64480 | ||||||||
\(723\) | 12.9263 | + | 2.60347i | 0.480733 | + | 0.0968240i | ||||
\(724\) | −12.9589 | + | 22.4456i | −0.481615 | + | 0.834182i | ||||
\(725\) | −14.0336 | + | 8.10229i | −0.521194 | + | 0.300911i | ||||
\(726\) | 8.67592 | + | 25.7614i | 0.321994 | + | 0.956097i | ||||
\(727\) | 16.8475 | + | 9.72689i | 0.624838 | + | 0.360750i | 0.778750 | − | 0.627334i | \(-0.215854\pi\) |
−0.153912 | + | 0.988085i | \(0.549187\pi\) | |||||||
\(728\) | −24.7986 | −0.919099 | ||||||||
\(729\) | 9.97212 | + | 25.0910i | 0.369338 | + | 0.929295i | ||||
\(730\) | −19.1425 | − | 33.1558i | −0.708497 | − | 1.22715i | ||||
\(731\) | −2.39668 | + | 4.15117i | −0.0886443 | + | 0.153537i | ||||
\(732\) | 2.38931 | − | 11.8630i | 0.0883113 | − | 0.438468i | ||||
\(733\) | 30.9484 | − | 17.8681i | 1.14311 | − | 0.659973i | 0.195908 | − | 0.980622i | \(-0.437234\pi\) |
0.947198 | + | 0.320649i | \(0.103901\pi\) | |||||||
\(734\) | 23.1957i | 0.856169i | ||||||||
\(735\) | −0.671751 | + | 0.762286i | −0.0247779 | + | 0.0281173i | ||||
\(736\) | − | 50.4542i | − | 1.85977i | ||||||
\(737\) | 20.2327 | − | 27.0342i | 0.745282 | − | 0.995818i | ||||
\(738\) | −7.86988 | − | 3.30417i | −0.289694 | − | 0.121628i | ||||
\(739\) | 2.32611 | + | 1.34298i | 0.0855672 | + | 0.0494022i | 0.542173 | − | 0.840267i | \(-0.317602\pi\) |
−0.456606 | + | 0.889669i | \(0.650935\pi\) | |||||||
\(740\) | −3.64697 | −0.134065 | ||||||||
\(741\) | 2.98664 | − | 1.00584i | 0.109717 | − | 0.0369504i | ||||
\(742\) | 3.53507i | 0.129777i | ||||||||
\(743\) | −12.2178 | − | 7.05395i | −0.448228 | − | 0.258784i | 0.258854 | − | 0.965917i | \(-0.416655\pi\) |
−0.707081 | + | 0.707132i | \(0.749989\pi\) | |||||||
\(744\) | 106.699 | − | 35.9341i | 3.91178 | − | 1.31741i | ||||
\(745\) | − | 51.7136i | − | 1.89464i | ||||||
\(746\) | − | 59.2544i | − | 2.16946i | ||||||
\(747\) | −13.3994 | − | 17.6371i | −0.490258 | − | 0.645308i | ||||
\(748\) | 28.8620 | − | 16.6635i | 1.05530 | − | 0.609278i | ||||
\(749\) | −15.6607 | − | 27.1252i | −0.572231 | − | 0.991133i | ||||
\(750\) | −70.2179 | + | 79.6815i | −2.56400 | + | 2.90956i | ||||
\(751\) | −10.6938 | −0.390222 | −0.195111 | − | 0.980781i | \(-0.562507\pi\) | ||||
−0.195111 | + | 0.980781i | \(0.562507\pi\) | |||||||
\(752\) | − | 58.3164i | − | 2.12658i | ||||||
\(753\) | 17.8157 | − | 20.2169i | 0.649242 | − | 0.736743i | ||||
\(754\) | −2.46244 | + | 4.26507i | −0.0896767 | + | 0.155325i | ||||
\(755\) | −31.0106 | + | 53.7119i | −1.12859 | + | 1.95478i | ||||
\(756\) | −29.0651 | − | 60.0240i | −1.05709 | − | 2.18305i | ||||
\(757\) | −20.8419 | + | 12.0331i | −0.757510 | + | 0.437349i | −0.828401 | − | 0.560135i | \(-0.810749\pi\) |
0.0708907 | + | 0.997484i | \(0.477416\pi\) | |||||||
\(758\) | 14.9720 | − | 8.64408i | 0.543807 | − | 0.313967i | ||||
\(759\) | 7.09919 | − | 35.2476i | 0.257684 | − | 1.27941i | ||||
\(760\) | 20.8623 | − | 36.1345i | 0.756754 | − | 1.31074i | ||||
\(761\) | − | 45.0587i | − | 1.63338i | −0.577079 | − | 0.816688i | \(-0.695807\pi\) | ||
0.577079 | − | 0.816688i | \(-0.304193\pi\) | |||||||
\(762\) | −10.3501 | − | 2.08460i | −0.374943 | − | 0.0755169i | ||||
\(763\) | 6.14401 | + | 10.6417i | 0.222428 | + | 0.385257i | ||||
\(764\) | −8.06841 | −0.291905 | ||||||||
\(765\) | −12.1765 | − | 16.0274i | −0.440241 | − | 0.579472i | ||||
\(766\) | −30.3671 | − | 52.5973i | −1.09721 | − | 1.90042i | ||||
\(767\) | −3.41237 | + | 5.91040i | −0.123214 | + | 0.213412i | ||||
\(768\) | 9.65574 | + | 28.6708i | 0.348422 | + | 1.03457i | ||||
\(769\) | −25.2195 | + | 14.5605i | −0.909440 | + | 0.525065i | −0.880251 | − | 0.474509i | \(-0.842626\pi\) |
−0.0291889 | + | 0.999574i | \(0.509292\pi\) | |||||||
\(770\) | −99.3101 | + | 57.3367i | −3.57889 | + | 2.06627i | ||||
\(771\) | 17.8832 | − | 6.02268i | 0.644046 | − | 0.216901i | ||||
\(772\) | 45.4676 | + | 78.7522i | 1.63641 | + | 2.83435i | ||||
\(773\) | −19.6565 | + | 11.3487i | −0.706996 | + | 0.408184i | −0.809948 | − | 0.586502i | \(-0.800505\pi\) |
0.102952 | + | 0.994686i | \(0.467171\pi\) | |||||||
\(774\) | 13.4814 | + | 17.7451i | 0.484580 | + | 0.637834i | ||||
\(775\) | −83.9855 | + | 48.4891i | −3.01685 | + | 1.74178i | ||||
\(776\) | 58.4457 | + | 33.7436i | 2.09808 | + | 1.21133i | ||||
\(777\) | −0.174191 | + | 0.864860i | −0.00624906 | + | 0.0310267i | ||||
\(778\) | 13.3694 | − | 7.71885i | 0.479318 | − | 0.276734i | ||||
\(779\) | −1.56308 | −0.0560030 | ||||||||
\(780\) | −8.31332 | + | 41.2758i | −0.297664 | + | 1.47791i | ||||
\(781\) | 54.6498 | + | 31.5521i | 1.95552 | + | 1.12902i | ||||
\(782\) | −22.0828 | −0.789678 | ||||||||
\(783\) | −7.70650 | − | 0.560874i | −0.275408 | − | 0.0200440i | ||||
\(784\) | 0.694906 | + | 1.20361i | 0.0248181 | + | 0.0429862i | ||||
\(785\) | −0.890579 | + | 1.54253i | −0.0317861 | + | 0.0550552i | ||||
\(786\) | 47.0256 | + | 41.4405i | 1.67735 | + | 1.47813i | ||||
\(787\) | −22.1780 | − | 12.8044i | −0.790559 | − | 0.456429i | 0.0496005 | − | 0.998769i | \(-0.484205\pi\) |
−0.840159 | + | 0.542340i | \(0.817539\pi\) | |||||||
\(788\) | 2.65722 | − | 4.60244i | 0.0946595 | − | 0.163955i | ||||
\(789\) | 8.20334 | − | 40.7298i | 0.292047 | − | 1.45002i | ||||
\(790\) | 34.8063i | 1.23835i | ||||||||
\(791\) | −47.7724 | − | 27.5814i | −1.69859 | − | 0.980682i | ||||
\(792\) | −11.3686 | − | 89.6779i | −0.403965 | − | 3.18656i | ||||
\(793\) | 0.924082 | + | 1.60056i | 0.0328151 | + | 0.0568374i | ||||
\(794\) | −32.1567 | + | 55.6970i | −1.14120 | + | 1.97661i | ||||
\(795\) | 3.43271 | + | 0.691379i | 0.121746 | + | 0.0245207i | ||||
\(796\) | 70.6388 | 2.50373 | ||||||||
\(797\) | 25.7932 | − | 14.8917i | 0.913641 | − | 0.527491i | 0.0320401 | − | 0.999487i | \(-0.489800\pi\) |
0.881601 | + | 0.471996i | \(0.156466\pi\) | |||||||
\(798\) | −12.9801 | − | 11.4385i | −0.459489 | − | 0.404917i | ||||
\(799\) | −10.3883 | −0.367513 | ||||||||
\(800\) | 54.6303 | + | 94.6225i | 1.93147 | + | 3.34541i | ||||
\(801\) | 13.7714 | − | 32.8007i | 0.486587 | − | 1.15896i | ||||
\(802\) | 2.03021 | − | 3.51642i | 0.0716890 | − | 0.124169i | ||||
\(803\) | −15.1895 | −0.536025 | ||||||||
\(804\) | −50.7392 | + | 45.3674i | −1.78943 | + | 1.59999i | ||||
\(805\) | 53.6383 | 1.89050 | ||||||||
\(806\) | −14.7367 | + | 25.5248i | −0.519080 | + | 0.899072i | ||||
\(807\) | −3.82985 | + | 19.0153i | −0.134817 | + | 0.669370i | ||||
\(808\) | −28.1095 | − | 48.6871i | −0.988889 | − | 1.71281i | ||||
\(809\) | −13.7869 | −0.484723 | −0.242362 | − | 0.970186i | \(-0.577922\pi\) | ||||
−0.242362 | + | 0.970186i | \(0.577922\pi\) | |||||||
\(810\) | −90.6200 | + | 23.3513i | −3.18406 | + | 0.820482i | ||||
\(811\) | 20.0058 | − | 11.5504i | 0.702500 | − | 0.405588i | −0.105778 | − | 0.994390i | \(-0.533733\pi\) |
0.808278 | + | 0.588801i | \(0.200400\pi\) | |||||||
\(812\) | 19.0856 | 0.669773 | ||||||||
\(813\) | −2.19629 | + | 10.9046i | −0.0770271 | + | 0.382441i | ||||
\(814\) | −1.02485 | + | 1.77510i | −0.0359210 | + | 0.0622171i | ||||
\(815\) | −36.1039 | − | 62.5338i | −1.26466 | − | 2.19046i | ||||
\(816\) | −26.0929 | + | 8.78755i | −0.913434 | + | 0.307626i | ||||
\(817\) | 3.53433 | + | 2.04055i | 0.123651 | + | 0.0713897i | ||||
\(818\) | 41.7853i | 1.46099i | ||||||||
\(819\) | 9.39126 | + | 3.94292i | 0.328157 | + | 0.137777i | ||||
\(820\) | 10.4416 | − | 18.0854i | 0.364637 | − | 0.631570i | ||||
\(821\) | 31.1557 | + | 17.9877i | 1.08734 | + | 0.627776i | 0.932867 | − | 0.360221i | \(-0.117299\pi\) |
0.154473 | + | 0.987997i | \(0.450632\pi\) | |||||||
\(822\) | 32.1880 | − | 36.5261i | 1.12268 | − | 1.27399i | ||||
\(823\) | −2.81269 | + | 4.87172i | −0.0980442 | + | 0.169818i | −0.910875 | − | 0.412682i | \(-0.864592\pi\) |
0.812831 | + | 0.582500i | \(0.197925\pi\) | |||||||
\(824\) | 15.6905 | + | 27.1767i | 0.546604 | + | 0.946746i | ||||
\(825\) | 24.8512 | + | 73.7907i | 0.865207 | + | 2.56906i | ||||
\(826\) | 37.4664 | 1.30362 | ||||||||
\(827\) | 7.49657 | + | 4.32815i | 0.260681 | + | 0.150504i | 0.624645 | − | 0.780909i | \(-0.285244\pi\) |
−0.363964 | + | 0.931413i | \(0.618577\pi\) | |||||||
\(828\) | −28.0561 | + | 66.8242i | −0.975017 | + | 2.32230i | ||||
\(829\) | −22.6169 | −0.785516 | −0.392758 | − | 0.919642i | \(-0.628479\pi\) | ||||
−0.392758 | + | 0.919642i | \(0.628479\pi\) | |||||||
\(830\) | 66.4844 | − | 38.3848i | 2.30771 | − | 1.33236i | ||||
\(831\) | −12.0178 | − | 2.42049i | −0.416893 | − | 0.0839659i | ||||
\(832\) | 7.97880 | + | 4.60656i | 0.276615 | + | 0.159704i | ||||
\(833\) | 0.214409 | − | 0.123789i | 0.00742881 | − | 0.00428903i | ||||
\(834\) | 56.2172 | + | 49.5404i | 1.94664 | + | 1.71544i | ||||
\(835\) | −38.1528 | + | 22.0275i | −1.32033 | + | 0.762293i | ||||
\(836\) | −14.1874 | − | 24.5733i | −0.490682 | − | 0.849886i | ||||
\(837\) | −46.1205 | − | 3.35662i | −1.59416 | − | 0.116022i | ||||
\(838\) | 16.2297 | − | 9.37022i | 0.560645 | − | 0.323689i | ||||
\(839\) | −25.5023 | + | 14.7238i | −0.880438 | + | 0.508321i | −0.870803 | − | 0.491633i | \(-0.836400\pi\) |
−0.00963494 | + | 0.999954i | \(0.503067\pi\) | |||||||
\(840\) | 127.799 | − | 43.0401i | 4.40949 | − | 1.48503i | ||||
\(841\) | −13.3944 | + | 23.1997i | −0.461874 | + | 0.799990i | ||||
\(842\) | −27.0659 | − | 46.8794i | −0.932751 | − | 1.61557i | ||||
\(843\) | −31.1116 | + | 35.3046i | −1.07154 | + | 1.21596i | ||||
\(844\) | −106.124 | −3.65293 | ||||||||
\(845\) | 22.7011 | + | 39.3195i | 0.780942 | + | 1.35263i | ||||
\(846\) | −18.6967 | + | 44.5319i | −0.642805 | + | 1.53104i | ||||
\(847\) | 16.0888i | 0.552817i | ||||||||
\(848\) | 2.39491 | − | 4.14810i | 0.0822415 | − | 0.142446i | ||||
\(849\) | 10.1060 | + | 2.03544i | 0.346837 | + | 0.0698562i | ||||
\(850\) | 41.4143 | − | 23.9106i | 1.42050 | − | 0.820126i | ||||
\(851\) | 0.830298 | − | 0.479373i | 0.0284622 | − | 0.0164327i | ||||
\(852\) | −95.4312 | − | 84.0970i | −3.26942 | − | 2.88112i | ||||
\(853\) | 6.65921 | − | 11.5341i | 0.228007 | − | 0.394920i | −0.729210 | − | 0.684290i | \(-0.760112\pi\) |
0.957217 | + | 0.289370i | \(0.0934457\pi\) | |||||||
\(854\) | 5.07302 | − | 8.78673i | 0.173595 | − | 0.300676i | ||||
\(855\) | −13.6458 | + | 10.3671i | −0.466678 | + | 0.354548i | ||||
\(856\) | 85.5751i | 2.92490i | ||||||||
\(857\) | 18.1306 | 0.619330 | 0.309665 | − | 0.950846i | \(-0.399783\pi\) | ||||
0.309665 | + | 0.950846i | \(0.399783\pi\) | |||||||
\(858\) | 17.7540 | + | 15.6454i | 0.606113 | + | 0.534126i | ||||
\(859\) | −13.1999 | − | 22.8629i | −0.450375 | − | 0.780072i | 0.548034 | − | 0.836456i | \(-0.315376\pi\) |
−0.998409 | + | 0.0563839i | \(0.982043\pi\) | |||||||
\(860\) | −47.2199 | + | 27.2624i | −1.61019 | + | 0.929641i | ||||
\(861\) | −3.79014 | − | 3.33999i | −0.129168 | − | 0.113827i | ||||
\(862\) | 6.20608i | 0.211380i | ||||||||
\(863\) | 33.7376i | 1.14844i | 0.818700 | + | 0.574221i | \(0.194695\pi\) | ||||
−0.818700 | + | 0.574221i | \(0.805305\pi\) | |||||||
\(864\) | −3.78174 | + | 51.9617i | −0.128657 | + | 1.76777i | ||||
\(865\) | −63.8606 | − | 36.8699i | −2.17133 | − | 1.25362i | ||||
\(866\) | − | 72.3346i | − | 2.45803i | ||||||
\(867\) | −7.83239 | − | 23.2567i | −0.266002 | − | 0.789840i | ||||
\(868\) | 114.220 | 3.87688 | ||||||||
\(869\) | 11.9592 | + | 6.90465i | 0.405688 | + | 0.234224i | ||||
\(870\) | 5.28773 | − | 26.2537i | 0.179271 | − | 0.890083i | ||||
\(871\) | 1.23292 | − | 10.3217i | 0.0417757 | − | 0.349738i | ||||
\(872\) | − | 33.5727i | − | 1.13692i | ||||||
\(873\) | −16.7683 | − | 22.0715i | −0.567520 | − | 0.747005i | ||||
\(874\) | 18.8014i | 0.635967i | ||||||||
\(875\) | −54.4381 | + | 31.4298i | −1.84034 | + | 1.06252i | ||||
\(876\) | 30.0145 | + | 6.04519i | 1.01410 | + | 0.204248i | ||||
\(877\) | 6.50158 | − | 11.2611i | 0.219543 | − | 0.380259i | −0.735125 | − | 0.677931i | \(-0.762877\pi\) |
0.954668 | + | 0.297672i | \(0.0962101\pi\) | |||||||
\(878\) | −3.73112 | − | 6.46249i | −0.125919 | − | 0.218098i | ||||
\(879\) | 0.846693 | − | 4.20385i | 0.0285582 | − | 0.141792i | ||||
\(880\) | 155.376 | 5.23772 | ||||||||
\(881\) | −48.7291 | − | 28.1337i | −1.64172 | − | 0.947850i | −0.980221 | − | 0.197908i | \(-0.936585\pi\) |
−0.661504 | − | 0.749942i | \(-0.730082\pi\) | |||||||
\(882\) | −0.144760 | − | 1.14190i | −0.00487434 | − | 0.0384498i | ||||
\(883\) | 1.11884 | − | 0.645963i | 0.0376520 | − | 0.0217384i | −0.481056 | − | 0.876690i | \(-0.659747\pi\) |
0.518708 | + | 0.854952i | \(0.326413\pi\) | |||||||
\(884\) | 5.12982 | − | 8.88511i | 0.172535 | − | 0.298839i | ||||
\(885\) | 7.32757 | − | 36.3816i | 0.246314 | − | 1.22295i | ||||
\(886\) | 11.3979 | 0.382919 | ||||||||
\(887\) | 29.0185 | + | 16.7538i | 0.974346 | + | 0.562539i | 0.900558 | − | 0.434735i | \(-0.143158\pi\) |
0.0737875 | + | 0.997274i | \(0.476491\pi\) | |||||||
\(888\) | 1.59362 | − | 1.80840i | 0.0534784 | − | 0.0606860i | ||||
\(889\) | −5.41168 | − | 3.12443i | −0.181502 | − | 0.104790i | ||||
\(890\) | 106.780 | + | 61.6492i | 3.57926 | + | 2.06649i | ||||
\(891\) | −9.95325 | + | 35.7687i | −0.333446 | + | 1.19830i | ||||
\(892\) | −11.2276 | − | 19.4467i | −0.375927 | − | 0.651124i | ||||
\(893\) | 8.84469i | 0.295976i | ||||||||
\(894\) | 43.9537 | + | 38.7334i | 1.47003 | + | 1.29544i | ||||
\(895\) | −65.8490 | −2.20109 | ||||||||
\(896\) | 3.03172i | 0.101283i | ||||||||
\(897\) | −3.53278 | − | 10.4899i | −0.117956 | − | 0.350247i | ||||
\(898\) | 90.5058i | 3.02022i | ||||||||
\(899\) | 6.61685 | − | 11.4607i | 0.220684 | − | 0.382236i | ||||
\(900\) | −19.7385 | − | 155.701i | −0.657949 | − | 5.19004i | ||||
\(901\) | −0.738933 | − | 0.426623i | −0.0246174 | − | 0.0142129i | ||||
\(902\) | −5.86849 | − | 10.1645i | −0.195399 | − | 0.338442i | ||||
\(903\) | 4.20977 | + | 12.5001i | 0.140092 | + | 0.415977i | ||||
\(904\) | 75.3566 | + | 130.522i | 2.50632 | + | 4.34108i | ||||
\(905\) | 10.7625 | + | 18.6412i | 0.357757 | + | 0.619653i | ||||
\(906\) | −22.4253 | − | 66.5874i | −0.745030 | − | 2.21222i | ||||
\(907\) | −15.2991 | − | 26.4988i | −0.507998 | − | 0.879878i | −0.999957 | − | 0.00925954i | \(-0.997053\pi\) |
0.491960 | − | 0.870618i | \(-0.336281\pi\) | |||||||
\(908\) | 103.786 | + | 59.9209i | 3.44426 | + | 1.98855i | ||||
\(909\) | 2.90398 | + | 22.9072i | 0.0963188 | + | 0.759783i | ||||
\(910\) | −17.6510 | + | 30.5724i | −0.585124 | + | 1.01347i | ||||
\(911\) | 8.56805i | 0.283872i | 0.989876 | + | 0.141936i | \(0.0453327\pi\) | ||||
−0.989876 | + | 0.141936i | \(0.954667\pi\) | |||||||
\(912\) | 7.48178 | + | 22.2157i | 0.247746 | + | 0.735634i | ||||
\(913\) | − | 30.4581i | − | 1.00802i | ||||||
\(914\) | −64.4488 | −2.13178 | ||||||||
\(915\) | −7.54014 | − | 6.64461i | −0.249269 | − | 0.219664i | ||||
\(916\) | 105.451i | 3.48420i | ||||||||
\(917\) | 18.5489 | + | 32.1277i | 0.612540 | + | 1.06095i | ||||
\(918\) | 22.7426 | + | 1.65519i | 0.750617 | + | 0.0546294i | ||||
\(919\) | 51.1945 | + | 29.5571i | 1.68875 | + | 0.975000i | 0.955477 | + | 0.295065i | \(0.0953415\pi\) |
0.733273 | + | 0.679935i | \(0.237992\pi\) | |||||||
\(920\) | −126.914 | − | 73.2740i | −4.18424 | − | 2.41577i | ||||
\(921\) | 1.48023 | − | 1.67973i | 0.0487753 | − | 0.0553489i | ||||
\(922\) | −53.3486 | − | 30.8008i | −1.75694 | − | 1.01437i | ||||
\(923\) | 19.4265 | 0.639430 | ||||||||
\(924\) | 18.1069 | − | 89.9010i | 0.595673 | − | 2.95753i | ||||
\(925\) | −1.03810 | + | 1.79804i | −0.0341325 | + | 0.0591193i | ||||
\(926\) | 4.22175 | − | 2.43743i | 0.138735 | − | 0.0800989i | ||||
\(927\) | −1.62097 | − | 12.7866i | −0.0532398 | − | 0.419967i | ||||
\(928\) | −12.9122 | − | 7.45489i | −0.423865 | − | 0.244719i | ||||
\(929\) | −6.98010 | −0.229010 | −0.114505 | − | 0.993423i | \(-0.536528\pi\) | ||||
−0.114505 | + | 0.993423i | \(0.536528\pi\) | |||||||
\(930\) | 31.6450 | − | 157.118i | 1.03768 | − | 5.15211i | ||||
\(931\) | −0.105395 | − | 0.182549i | −0.00345417 | − | 0.00598280i | ||||
\(932\) | −12.3652 | + | 21.4172i | −0.405036 | + | 0.701543i | ||||
\(933\) | 24.8442 | + | 5.00385i | 0.813363 | + | 0.163819i | ||||
\(934\) | −54.3511 | + | 31.3796i | −1.77842 | + | 1.02677i | ||||
\(935\) | − | 27.6783i | − | 0.905176i | ||||||
\(936\) | −16.8345 | − | 22.1586i | −0.550252 | − | 0.724276i | ||||
\(937\) | 25.6220i | 0.837035i | 0.908209 | + | 0.418518i | \(0.137450\pi\) | ||||
−0.908209 | + | 0.418518i | \(0.862550\pi\) | |||||||
\(938\) | −52.4568 | + | 22.4704i | −1.71278 | + | 0.733685i | ||||
\(939\) | −7.10823 | + | 35.2925i | −0.231968 | + | 1.15173i | ||||
\(940\) | −102.337 | − | 59.0841i | −3.33785 | − | 1.92711i | ||||
\(941\) | −12.6058 | −0.410938 | −0.205469 | − | 0.978664i | \(-0.565872\pi\) | ||||
−0.205469 | + | 0.978664i | \(0.565872\pi\) | |||||||
\(942\) | −0.644021 | − | 1.91229i | −0.0209833 | − | 0.0623059i | ||||
\(943\) | 5.48995i | 0.178777i | ||||||||
\(944\) | −43.9636 | − | 25.3824i | −1.43089 | − | 0.826127i | ||||
\(945\) | −55.2409 | − | 4.02040i | −1.79699 | − | 0.130784i | ||||
\(946\) | 30.6445i | 0.996340i | ||||||||
\(947\) | 44.8419i | 1.45716i | 0.684958 | + | 0.728582i | \(0.259820\pi\) | ||||
−0.684958 | + | 0.728582i | \(0.740180\pi\) | |||||||
\(948\) | −20.8835 | − | 18.4032i | −0.678265 | − | 0.597709i | ||||
\(949\) | −4.04957 | + | 2.33802i | −0.131455 | + | 0.0758954i | ||||
\(950\) | −20.3576 | − | 35.2604i | −0.660488 | − | 1.14400i | ||||
\(951\) | 1.43443 | + | 1.26407i | 0.0465146 | + | 0.0409902i | ||||
\(952\) | −32.8594 | −1.06498 | ||||||||
\(953\) | − | 39.8204i | − | 1.28991i | −0.764221 | − | 0.644955i | \(-0.776876\pi\) | ||
0.764221 | − | 0.644955i | \(-0.223124\pi\) | |||||||
\(954\) | −3.15873 | + | 2.39977i | −0.102268 | + | 0.0776955i | ||||
\(955\) | −3.35043 | + | 5.80312i | −0.108417 | + | 0.187784i | ||||
\(956\) | −61.5399 | + | 106.590i | −1.99034 | + | 3.44737i | ||||
\(957\) | −7.97163 | − | 7.02486i | −0.257686 | − | 0.227081i | ||||
\(958\) | −53.4526 | + | 30.8609i | −1.72698 | + | 0.997070i | ||||
\(959\) | 24.9545 | − | 14.4075i | 0.805823 | − | 0.465242i | ||||
\(960\) | −49.1136 | − | 9.89192i | −1.58513 | − | 0.319260i | ||||
\(961\) | 24.0993 | − | 41.7412i | 0.777397 | − | 1.34649i | ||||
\(962\) | 0.630997i | 0.0203442i | ||||||||
\(963\) | 13.6062 | − | 32.4073i | 0.438454 | − | 1.04431i | ||||
\(964\) | −18.2741 | − | 31.6516i | −0.588568 | − | 1.01943i | ||||
\(965\) | 75.5222 | 2.43114 | ||||||||
\(966\) | −40.1750 | + | 45.5896i | −1.29261 | + | 1.46682i | ||||
\(967\) | −6.74080 | − | 11.6754i | −0.216770 | − | 0.375456i | 0.737049 | − | 0.675839i | \(-0.236219\pi\) |
−0.953819 | + | 0.300384i | \(0.902885\pi\) | |||||||
\(968\) | 21.9785 | − | 38.0679i | 0.706416 | − | 1.22355i | ||||
\(969\) | 3.95744 | − | 1.33278i | 0.127131 | − | 0.0428152i | ||||
\(970\) | 83.2000 | − | 48.0356i | 2.67139 | − | 1.54233i | ||||
\(971\) | 36.9461 | − | 21.3309i | 1.18566 | − | 0.684540i | 0.228341 | − | 0.973581i | \(-0.426670\pi\) |
0.957317 | + | 0.289041i | \(0.0933365\pi\) | |||||||
\(972\) | 33.9031 | − | 66.7179i | 1.08744 | − | 2.13998i | ||||
\(973\) | 22.1745 | + | 38.4074i | 0.710882 | + | 1.23128i | ||||
\(974\) | 39.0998 | − | 22.5743i | 1.25284 | − | 0.723327i | ||||
\(975\) | 17.9836 | + | 15.8477i | 0.575935 | + | 0.507532i | ||||
\(976\) | −11.9055 | + | 6.87365i | −0.381086 | + | 0.220020i | ||||
\(977\) | 6.97516 | + | 4.02711i | 0.223155 | + | 0.128839i | 0.607410 | − | 0.794388i | \(-0.292208\pi\) |
−0.384255 | + | 0.923227i | \(0.625542\pi\) | |||||||
\(978\) | 80.1920 | + | 16.1514i | 2.56426 | + | 0.516465i | ||||
\(979\) | 42.3645 | − | 24.4591i | 1.35397 | − | 0.781717i | ||||
\(980\) | 2.81622 | 0.0899608 | ||||||||
\(981\) | −5.33798 | + | 12.7140i | −0.170428 | + | 0.405928i | ||||
\(982\) | 63.7829 | + | 36.8251i | 2.03539 | + | 1.17514i | ||||
\(983\) | 45.6396 | 1.45568 | 0.727838 | − | 0.685749i | \(-0.240525\pi\) | ||||
0.727838 | + | 0.685749i | \(0.240525\pi\) | |||||||
\(984\) | 4.40522 | + | 13.0804i | 0.140433 | + | 0.416989i | ||||
\(985\) | −2.20684 | − | 3.82235i | −0.0703156 | − | 0.121790i | ||||
\(986\) | −3.26285 | + | 5.65142i | −0.103910 | + | 0.179978i | ||||
\(987\) | −18.8994 | + | 21.4466i | −0.601574 | + | 0.682652i | ||||
\(988\) | −7.56484 | − | 4.36757i | −0.240670 | − | 0.138951i | ||||
\(989\) | 7.16697 | − | 12.4135i | 0.227896 | − | 0.394728i | ||||
\(990\) | −118.649 | − | 49.8147i | −3.77091 | − | 1.58322i | ||||
\(991\) | − | 16.5008i | − | 0.524165i | −0.965045 | − | 0.262083i | \(-0.915591\pi\) | ||
0.965045 | − | 0.262083i | \(-0.0844093\pi\) | |||||||
\(992\) | −77.2749 | − | 44.6147i | −2.45348 | − | 1.41652i | ||||
\(993\) | −24.5054 | + | 8.25293i | −0.777657 | + | 0.261899i | ||||
\(994\) | −53.3237 | − | 92.3593i | −1.69132 | − | 2.92946i | ||||
\(995\) | 29.3330 | − | 50.8062i | 0.929917 | − | 1.61066i | ||||
\(996\) | −12.1219 | + | 60.1854i | −0.384097 | + | 1.90705i | ||||
\(997\) | 34.4244 | 1.09023 | 0.545117 | − | 0.838360i | \(-0.316485\pi\) | ||||
0.545117 | + | 0.838360i | \(0.316485\pi\) | |||||||
\(998\) | 19.8240 | − | 11.4454i | 0.627517 | − | 0.362297i | ||||
\(999\) | −0.891036 | + | 0.431461i | −0.0281911 | + | 0.0136508i |
(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 | 201.2.f.b.38.19 | yes | 40 | |
3.2 | odd | 2 | inner | 201.2.f.b.38.2 | ✓ | 40 | |
67.30 | odd | 6 | inner | 201.2.f.b.164.2 | yes | 40 | |
201.164 | even | 6 | inner | 201.2.f.b.164.19 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.f.b.38.2 | ✓ | 40 | 3.2 | odd | 2 | inner | |
201.2.f.b.38.19 | yes | 40 | 1.1 | even | 1 | trivial | |
201.2.f.b.164.2 | yes | 40 | 67.30 | odd | 6 | inner | |
201.2.f.b.164.19 | yes | 40 | 201.164 | even | 6 | inner |