Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(3,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.x (of order \(84\), degree \(24\), 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: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(624\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 213.20 | ||
Character | \(\chi\) | \(=\) | 245.213 |
Dual form | 245.2.x.a.222.20 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.11552 | + | 0.959983i | 0.788792 | + | 0.678810i | 0.951426 | − | 0.307876i | \(-0.0996182\pi\) |
−0.162635 | + | 0.986686i | \(0.551999\pi\) | |||||||
\(3\) | −2.92353 | + | 1.54513i | −1.68790 | + | 0.892081i | −0.704710 | + | 0.709495i | \(0.748923\pi\) |
−0.983190 | + | 0.182586i | \(0.941553\pi\) | |||||||
\(4\) | 0.0247339 | + | 0.164099i | 0.0123670 | + | 0.0820494i | ||||
\(5\) | −0.764828 | − | 2.10120i | −0.342041 | − | 0.939685i | ||||
\(6\) | −4.74455 | − | 1.08291i | −1.93696 | − | 0.442098i | ||||
\(7\) | −2.64082 | − | 0.161542i | −0.998134 | − | 0.0610571i | ||||
\(8\) | 1.43606 | − | 2.28548i | 0.507724 | − | 0.808038i | ||||
\(9\) | 4.46963 | − | 6.55575i | 1.48988 | − | 2.18525i | ||||
\(10\) | 1.16393 | − | 3.07815i | 0.368068 | − | 0.973397i | ||||
\(11\) | −2.72820 | + | 1.86005i | −0.822582 | + | 0.560827i | −0.899858 | − | 0.436183i | \(-0.856330\pi\) |
0.0772760 | + | 0.997010i | \(0.475378\pi\) | |||||||
\(12\) | −0.325864 | − | 0.441530i | −0.0940689 | − | 0.127459i | ||||
\(13\) | −2.33851 | + | 0.818278i | −0.648585 | + | 0.226950i | −0.634466 | − | 0.772951i | \(-0.718780\pi\) |
−0.0141186 | + | 0.999900i | \(0.504494\pi\) | |||||||
\(14\) | −2.79081 | − | 2.71534i | −0.745874 | − | 0.725705i | ||||
\(15\) | 5.48262 | + | 4.96116i | 1.41561 | + | 1.28097i | ||||
\(16\) | 4.11313 | − | 1.26873i | 1.02828 | − | 0.317183i | ||||
\(17\) | 0.267570 | − | 0.613278i | 0.0648953 | − | 0.148742i | −0.881092 | − | 0.472944i | \(-0.843191\pi\) |
0.945988 | + | 0.324203i | \(0.105096\pi\) | |||||||
\(18\) | 11.2794 | − | 3.02230i | 2.65857 | − | 0.712363i | ||||
\(19\) | −2.66038 | − | 4.60792i | −0.610334 | − | 1.05713i | −0.991184 | − | 0.132493i | \(-0.957702\pi\) |
0.380850 | − | 0.924637i | \(-0.375631\pi\) | |||||||
\(20\) | 0.325887 | − | 0.177478i | 0.0728706 | − | 0.0396853i | ||||
\(21\) | 7.97010 | − | 3.60813i | 1.73922 | − | 0.787359i | ||||
\(22\) | −4.82898 | − | 0.544095i | −1.02954 | − | 0.116001i | ||||
\(23\) | −1.03096 | + | 0.449805i | −0.214971 | + | 0.0937909i | −0.504618 | − | 0.863343i | \(-0.668367\pi\) |
0.289647 | + | 0.957133i | \(0.406462\pi\) | |||||||
\(24\) | −0.667005 | + | 8.90056i | −0.136152 | + | 1.81682i | ||||
\(25\) | −3.83008 | + | 3.21411i | −0.766015 | + | 0.642822i | ||||
\(26\) | −3.39418 | − | 1.33212i | −0.665654 | − | 0.261250i | ||||
\(27\) | −1.82691 | + | 16.2143i | −0.351589 | + | 3.12044i | ||||
\(28\) | −0.0388089 | − | 0.437350i | −0.00733418 | − | 0.0826514i | ||||
\(29\) | −6.41683 | − | 5.11725i | −1.19157 | − | 0.950249i | −0.192060 | − | 0.981383i | \(-0.561517\pi\) |
−0.999515 | + | 0.0311340i | \(0.990088\pi\) | |||||||
\(30\) | 1.35335 | + | 10.7975i | 0.247087 | + | 1.97134i | ||||
\(31\) | 1.62430 | + | 0.937790i | 0.291733 | + | 0.168432i | 0.638723 | − | 0.769437i | \(-0.279463\pi\) |
−0.346990 | + | 0.937869i | \(0.612796\pi\) | |||||||
\(32\) | 0.858277 | + | 0.374462i | 0.151723 | + | 0.0661962i | ||||
\(33\) | 5.10194 | − | 9.65334i | 0.888133 | − | 1.68043i | ||||
\(34\) | 0.887216 | − | 0.427261i | 0.152156 | − | 0.0732746i | ||||
\(35\) | 1.68034 | + | 5.67243i | 0.284029 | + | 0.958816i | ||||
\(36\) | 1.18634 | + | 0.571312i | 0.197724 | + | 0.0952187i | ||||
\(37\) | −1.97987 | + | 1.46121i | −0.325488 | + | 0.240221i | −0.744290 | − | 0.667856i | \(-0.767212\pi\) |
0.418802 | + | 0.908078i | \(0.362450\pi\) | |||||||
\(38\) | 1.45581 | − | 7.69415i | 0.236164 | − | 1.24816i | ||||
\(39\) | 5.57234 | − | 6.00556i | 0.892289 | − | 0.961658i | ||||
\(40\) | −5.90058 | − | 1.26945i | −0.932964 | − | 0.200718i | ||||
\(41\) | 1.69549 | − | 0.386984i | 0.264791 | − | 0.0604368i | −0.0880642 | − | 0.996115i | \(-0.528068\pi\) |
0.352855 | + | 0.935678i | \(0.385211\pi\) | |||||||
\(42\) | 12.3546 | + | 3.62622i | 1.90635 | + | 0.559538i | ||||
\(43\) | −1.16943 | + | 0.734804i | −0.178337 | + | 0.112057i | −0.618242 | − | 0.785988i | \(-0.712155\pi\) |
0.439905 | + | 0.898044i | \(0.355012\pi\) | |||||||
\(44\) | −0.372711 | − | 0.401687i | −0.0561884 | − | 0.0605566i | ||||
\(45\) | −17.1934 | − | 4.37757i | −2.56305 | − | 0.652570i | ||||
\(46\) | −1.58187 | − | 0.487942i | −0.233234 | − | 0.0719431i | ||||
\(47\) | −1.49954 | + | 1.74250i | −0.218731 | + | 0.254170i | −0.856607 | − | 0.515969i | \(-0.827432\pi\) |
0.637876 | + | 0.770139i | \(0.279813\pi\) | |||||||
\(48\) | −10.0645 | + | 10.0645i | −1.45269 | + | 1.45269i | ||||
\(49\) | 6.94781 | + | 0.853205i | 0.992544 | + | 0.121886i | ||||
\(50\) | −7.35802 | − | 0.0914007i | −1.04058 | − | 0.0129260i | ||||
\(51\) | 0.165344 | + | 2.20637i | 0.0231528 | + | 0.308953i | ||||
\(52\) | −0.192119 | − | 0.363507i | −0.0266421 | − | 0.0504093i | ||||
\(53\) | 6.87503 | + | 5.07400i | 0.944358 | + | 0.696968i | 0.952992 | − | 0.302995i | \(-0.0979865\pi\) |
−0.00863412 | + | 0.999963i | \(0.502748\pi\) | |||||||
\(54\) | −17.6034 | + | 16.3336i | −2.39552 | + | 2.22272i | ||||
\(55\) | 5.99494 | + | 4.30986i | 0.808358 | + | 0.581142i | ||||
\(56\) | −4.16157 | + | 5.80354i | −0.556113 | + | 0.775531i | ||||
\(57\) | 14.8975 | + | 9.36075i | 1.97323 | + | 1.23986i | ||||
\(58\) | −2.24563 | − | 11.8684i | −0.294866 | − | 1.55840i | ||||
\(59\) | −0.829101 | − | 0.769293i | −0.107940 | − | 0.100153i | 0.624357 | − | 0.781139i | \(-0.285361\pi\) |
−0.732297 | + | 0.680986i | \(0.761552\pi\) | |||||||
\(60\) | −0.678513 | + | 1.02240i | −0.0875957 | + | 0.131991i | ||||
\(61\) | 0.862972 | − | 5.72545i | 0.110492 | − | 0.733068i | −0.863143 | − | 0.504959i | \(-0.831508\pi\) |
0.973636 | − | 0.228109i | \(-0.0732543\pi\) | |||||||
\(62\) | 0.911677 | + | 2.60542i | 0.115783 | + | 0.330889i | ||||
\(63\) | −12.8625 | + | 16.5905i | −1.62052 | + | 2.09021i | ||||
\(64\) | −3.13724 | − | 6.51455i | −0.392155 | − | 0.814318i | ||||
\(65\) | 3.50792 | + | 4.28782i | 0.435104 | + | 0.531839i | ||||
\(66\) | 14.9584 | − | 5.87072i | 1.84125 | − | 0.722636i | ||||
\(67\) | −2.70151 | − | 10.0822i | −0.330042 | − | 1.23173i | −0.909145 | − | 0.416479i | \(-0.863264\pi\) |
0.579103 | − | 0.815254i | \(-0.303403\pi\) | |||||||
\(68\) | 0.107256 | + | 0.0287392i | 0.0130067 | + | 0.00348514i | ||||
\(69\) | 2.31905 | − | 2.90799i | 0.279181 | − | 0.350081i | ||||
\(70\) | −3.57099 | + | 7.94081i | −0.426814 | + | 0.949108i | ||||
\(71\) | 6.40888 | + | 8.03648i | 0.760594 | + | 0.953755i | 0.999852 | − | 0.0172012i | \(-0.00547559\pi\) |
−0.239258 | + | 0.970956i | \(0.576904\pi\) | |||||||
\(72\) | −8.56435 | − | 19.6297i | −1.00932 | − | 2.31338i | ||||
\(73\) | 1.40156 | + | 1.62864i | 0.164040 | + | 0.190618i | 0.833976 | − | 0.551801i | \(-0.186059\pi\) |
−0.669936 | + | 0.742419i | \(0.733678\pi\) | |||||||
\(74\) | −3.61132 | − | 0.270631i | −0.419807 | − | 0.0314602i | ||||
\(75\) | 6.23112 | − | 15.3145i | 0.719508 | − | 1.76837i | ||||
\(76\) | 0.690353 | − | 0.550538i | 0.0791889 | − | 0.0631510i | ||||
\(77\) | 7.50514 | − | 4.47134i | 0.855290 | − | 0.509556i | ||||
\(78\) | 11.9813 | − | 1.34997i | 1.35661 | − | 0.152854i | ||||
\(79\) | 1.66834 | − | 0.963216i | 0.187703 | − | 0.108370i | −0.403204 | − | 0.915110i | \(-0.632103\pi\) |
0.590907 | + | 0.806740i | \(0.298770\pi\) | |||||||
\(80\) | −5.81170 | − | 7.67215i | −0.649768 | − | 0.857772i | ||||
\(81\) | −11.0158 | − | 28.0678i | −1.22398 | − | 3.11865i | ||||
\(82\) | 2.26285 | + | 1.19595i | 0.249890 | + | 0.132071i | ||||
\(83\) | 1.97315 | − | 5.63895i | 0.216582 | − | 0.618955i | −0.783415 | − | 0.621499i | \(-0.786524\pi\) |
0.999997 | + | 0.00254399i | \(0.000809777\pi\) | |||||||
\(84\) | 0.789222 | + | 1.21864i | 0.0861112 | + | 0.132965i | ||||
\(85\) | −1.49326 | − | 0.0931666i | −0.161967 | − | 0.0101053i | ||||
\(86\) | −2.00993 | − | 0.302948i | −0.216736 | − | 0.0326677i | ||||
\(87\) | 26.6666 | + | 5.04559i | 2.85896 | + | 0.540944i | ||||
\(88\) | 0.333253 | + | 8.90638i | 0.0355249 | + | 0.949423i | ||||
\(89\) | 12.6505 | + | 8.62494i | 1.34095 | + | 0.914242i | 0.999669 | − | 0.0257204i | \(-0.00818797\pi\) |
0.341278 | + | 0.939963i | \(0.389140\pi\) | |||||||
\(90\) | −14.9772 | − | 21.3887i | −1.57874 | − | 2.25456i | ||||
\(91\) | 6.30775 | − | 1.78316i | 0.661231 | − | 0.186925i | ||||
\(92\) | −0.0993123 | − | 0.158055i | −0.0103540 | − | 0.0164783i | ||||
\(93\) | −6.19769 | − | 0.231901i | −0.642671 | − | 0.0240470i | ||||
\(94\) | −3.34554 | + | 0.504260i | −0.345067 | + | 0.0520104i | ||||
\(95\) | −7.64742 | + | 9.11426i | −0.784609 | + | 0.935104i | ||||
\(96\) | −3.08779 | + | 0.231398i | −0.315146 | + | 0.0236169i | ||||
\(97\) | −9.12354 | − | 9.12354i | −0.926355 | − | 0.926355i | 0.0711134 | − | 0.997468i | \(-0.477345\pi\) |
−0.997468 | + | 0.0711134i | \(0.977345\pi\) | |||||||
\(98\) | 6.93136 | + | 7.62154i | 0.700173 | + | 0.769892i | ||||
\(99\) | 26.1991i | 2.63311i | ||||||||
\(100\) | −0.622165 | − | 0.549013i | −0.0622165 | − | 0.0549013i | ||||
\(101\) | −1.39629 | + | 4.52665i | −0.138936 | + | 0.450419i | −0.998123 | − | 0.0612427i | \(-0.980494\pi\) |
0.859187 | + | 0.511662i | \(0.170970\pi\) | |||||||
\(102\) | −1.93363 | + | 2.61997i | −0.191458 | + | 0.259416i | ||||
\(103\) | 0.729545 | − | 19.4975i | 0.0718842 | − | 1.92115i | −0.239561 | − | 0.970881i | \(-0.577004\pi\) |
0.311445 | − | 0.950264i | \(-0.399187\pi\) | |||||||
\(104\) | −1.48808 | + | 6.51970i | −0.145918 | + | 0.639309i | ||||
\(105\) | −13.6772 | − | 13.9872i | −1.33475 | − | 1.36501i | ||||
\(106\) | 2.79828 | + | 12.2601i | 0.271793 | + | 1.19080i | ||||
\(107\) | −4.06225 | + | 0.768620i | −0.392713 | + | 0.0743053i | −0.378518 | − | 0.925594i | \(-0.623566\pi\) |
−0.0141950 | + | 0.999899i | \(0.504519\pi\) | |||||||
\(108\) | −2.70593 | + | 0.101249i | −0.260378 | + | 0.00974267i | ||||
\(109\) | −0.171092 | − | 0.250946i | −0.0163876 | − | 0.0240362i | 0.817958 | − | 0.575279i | \(-0.195106\pi\) |
−0.834345 | + | 0.551242i | \(0.814154\pi\) | |||||||
\(110\) | 2.55008 | + | 10.5628i | 0.243141 | + | 1.00712i | ||||
\(111\) | 3.53044 | − | 7.33104i | 0.335095 | − | 0.695832i | ||||
\(112\) | −11.0670 | + | 2.68605i | −1.04573 | + | 0.253808i | ||||
\(113\) | −9.88368 | − | 3.45845i | −0.929778 | − | 0.325343i | −0.177448 | − | 0.984130i | \(-0.556784\pi\) |
−0.752330 | + | 0.658787i | \(0.771070\pi\) | |||||||
\(114\) | 7.63236 | + | 24.7435i | 0.714836 | + | 2.31744i | ||||
\(115\) | 1.73364 | + | 1.82224i | 0.161663 | + | 0.169925i | ||||
\(116\) | 0.681021 | − | 1.17956i | 0.0632312 | − | 0.109520i | ||||
\(117\) | −5.08784 | + | 18.9881i | −0.470371 | + | 1.75545i | ||||
\(118\) | −0.186371 | − | 1.65408i | −0.0171568 | − | 0.152271i | ||||
\(119\) | −0.805674 | + | 1.57633i | −0.0738560 | + | 0.144502i | ||||
\(120\) | 19.2120 | − | 5.40589i | 1.75381 | − | 0.493488i | ||||
\(121\) | −0.0354929 | + | 0.0904345i | −0.00322663 | + | 0.00822132i | ||||
\(122\) | 6.45899 | − | 5.55841i | 0.584770 | − | 0.503235i | ||||
\(123\) | −4.35887 | + | 3.75111i | −0.393026 | + | 0.338226i | ||||
\(124\) | −0.113715 | + | 0.289741i | −0.0102119 | + | 0.0260195i | ||||
\(125\) | 9.68284 | + | 5.58951i | 0.866059 | + | 0.499941i | ||||
\(126\) | −30.2750 | + | 6.15924i | −2.69711 | + | 0.548709i | ||||
\(127\) | −1.89343 | − | 16.8046i | −0.168015 | − | 1.49117i | −0.740944 | − | 0.671566i | \(-0.765622\pi\) |
0.572930 | − | 0.819605i | \(-0.305807\pi\) | |||||||
\(128\) | 3.23892 | − | 12.0878i | 0.286283 | − | 1.06842i | ||||
\(129\) | 2.28351 | − | 3.95515i | 0.201051 | − | 0.348231i | ||||
\(130\) | −0.203081 | + | 8.15070i | −0.0178114 | + | 0.714863i | ||||
\(131\) | 4.22920 | + | 13.7107i | 0.369507 | + | 1.19791i | 0.929315 | + | 0.369289i | \(0.120399\pi\) |
−0.559808 | + | 0.828622i | \(0.689125\pi\) | |||||||
\(132\) | 1.71029 | + | 0.598457i | 0.148862 | + | 0.0520890i | ||||
\(133\) | 6.28121 | + | 12.5984i | 0.544650 | + | 1.09242i | ||||
\(134\) | 6.66512 | − | 13.8403i | 0.575779 | − | 1.19562i | ||||
\(135\) | 35.4667 | − | 8.56243i | 3.05249 | − | 0.736937i | ||||
\(136\) | −1.01739 | − | 1.49223i | −0.0872401 | − | 0.127958i | ||||
\(137\) | 2.65140 | − | 0.0992085i | 0.226525 | − | 0.00847596i | 0.0761121 | − | 0.997099i | \(-0.475749\pi\) |
0.150413 | + | 0.988623i | \(0.451940\pi\) | |||||||
\(138\) | 5.37857 | − | 1.01768i | 0.457854 | − | 0.0866307i | ||||
\(139\) | −3.88969 | − | 17.0418i | −0.329919 | − | 1.44547i | −0.819283 | − | 0.573389i | \(-0.805628\pi\) |
0.489364 | − | 0.872080i | \(-0.337229\pi\) | |||||||
\(140\) | −0.889278 | + | 0.416043i | −0.0751577 | + | 0.0351620i | ||||
\(141\) | 1.69157 | − | 7.41125i | 0.142456 | − | 0.624140i | ||||
\(142\) | −0.565648 | + | 15.1173i | −0.0474682 | + | 1.26861i | ||||
\(143\) | 4.85786 | − | 6.58217i | 0.406235 | − | 0.550428i | ||||
\(144\) | 10.0667 | − | 32.6355i | 0.838892 | − | 2.71962i | ||||
\(145\) | −5.84459 | + | 17.3968i | −0.485367 | + | 1.44473i | ||||
\(146\) | 3.16225i | 0.261710i | ||||||||
\(147\) | −21.6304 | + | 8.24090i | −1.78405 | + | 0.679698i | ||||
\(148\) | −0.288753 | − | 0.288753i | −0.0237353 | − | 0.0237353i | ||||
\(149\) | −18.7017 | + | 1.40150i | −1.53210 | + | 0.114815i | −0.813895 | − | 0.581012i | \(-0.802657\pi\) |
−0.718209 | + | 0.695828i | \(0.755038\pi\) | |||||||
\(150\) | 21.6526 | − | 11.1019i | 1.76793 | − | 0.906465i | ||||
\(151\) | −4.38141 | + | 0.660392i | −0.356554 | + | 0.0537419i | −0.324877 | − | 0.945756i | \(-0.605323\pi\) |
−0.0316772 | + | 0.999498i | \(0.510085\pi\) | |||||||
\(152\) | −14.3518 | − | 0.537006i | −1.16408 | − | 0.0435569i | ||||
\(153\) | −2.82455 | − | 4.49525i | −0.228352 | − | 0.363420i | ||||
\(154\) | 12.6645 | + | 2.21694i | 1.02054 | + | 0.178646i | ||||
\(155\) | 0.728173 | − | 4.13022i | 0.0584883 | − | 0.331748i | ||||
\(156\) | 1.12333 | + | 0.765874i | 0.0899384 | + | 0.0613190i | ||||
\(157\) | −0.0368505 | − | 0.984851i | −0.00294099 | − | 0.0785996i | −0.999998 | − | 0.00193755i | \(-0.999383\pi\) |
0.997057 | − | 0.0766621i | \(-0.0244263\pi\) | |||||||
\(158\) | 2.78574 | + | 0.527090i | 0.221621 | + | 0.0419330i | ||||
\(159\) | −27.9393 | − | 4.21118i | −2.21573 | − | 0.333968i | ||||
\(160\) | 0.130386 | − | 2.08981i | 0.0103079 | − | 0.165214i | ||||
\(161\) | 2.79525 | − | 1.02131i | 0.220297 | − | 0.0804904i | ||||
\(162\) | 14.6563 | − | 41.8852i | 1.15151 | − | 3.29081i | ||||
\(163\) | 13.3902 | + | 7.07694i | 1.04880 | + | 0.554309i | 0.900600 | − | 0.434648i | \(-0.143127\pi\) |
0.148203 | + | 0.988957i | \(0.452651\pi\) | |||||||
\(164\) | 0.105440 | + | 0.268656i | 0.00823346 | + | 0.0209785i | ||||
\(165\) | −24.1857 | − | 3.33705i | −1.88285 | − | 0.259789i | ||||
\(166\) | 7.61438 | − | 4.39617i | 0.590991 | − | 0.341209i | ||||
\(167\) | −7.27149 | + | 0.819301i | −0.562685 | + | 0.0633994i | −0.388726 | − | 0.921353i | \(-0.627085\pi\) |
−0.173959 | + | 0.984753i | \(0.555656\pi\) | |||||||
\(168\) | 3.19925 | − | 23.3970i | 0.246828 | − | 1.80512i | ||||
\(169\) | −5.36478 | + | 4.27827i | −0.412676 | + | 0.329098i | ||||
\(170\) | −1.57633 | − | 1.53744i | −0.120899 | − | 0.117916i | ||||
\(171\) | −42.0993 | − | 3.15491i | −3.21942 | − | 0.241262i | ||||
\(172\) | −0.149505 | − | 0.173728i | −0.0113997 | − | 0.0132466i | ||||
\(173\) | −1.77083 | − | 4.05879i | −0.134634 | − | 0.308584i | 0.836165 | − | 0.548477i | \(-0.184792\pi\) |
−0.970799 | + | 0.239893i | \(0.922888\pi\) | |||||||
\(174\) | 24.9034 | + | 31.2279i | 1.88793 | + | 2.36738i | ||||
\(175\) | 10.6337 | − | 7.86916i | 0.803835 | − | 0.594852i | ||||
\(176\) | −8.86152 | + | 11.1120i | −0.667962 | + | 0.837598i | ||||
\(177\) | 3.61256 | + | 0.967982i | 0.271536 | + | 0.0727580i | ||||
\(178\) | 5.83206 | + | 21.7655i | 0.437131 | + | 1.63140i | ||||
\(179\) | −13.7528 | + | 5.39759i | −1.02793 | + | 0.403435i | −0.818572 | − | 0.574404i | \(-0.805234\pi\) |
−0.209362 | + | 0.977838i | \(0.567139\pi\) | |||||||
\(180\) | 0.293093 | − | 2.92970i | 0.0218459 | − | 0.218367i | ||||
\(181\) | −8.20803 | − | 17.0441i | −0.610098 | − | 1.26688i | −0.945750 | − | 0.324895i | \(-0.894671\pi\) |
0.335652 | − | 0.941986i | \(-0.391043\pi\) | |||||||
\(182\) | 8.74822 | + | 4.06618i | 0.648461 | + | 0.301405i | ||||
\(183\) | 6.32364 | + | 18.0719i | 0.467457 | + | 1.33591i | ||||
\(184\) | −0.452508 | + | 3.00220i | −0.0333593 | + | 0.221325i | ||||
\(185\) | 4.58455 | + | 3.04252i | 0.337063 | + | 0.223691i | ||||
\(186\) | −6.69103 | − | 6.20837i | −0.490610 | − | 0.455220i | ||||
\(187\) | 0.410744 | + | 2.17084i | 0.0300366 | + | 0.158747i | ||||
\(188\) | −0.323032 | − | 0.202975i | −0.0235595 | − | 0.0148034i | ||||
\(189\) | 7.44382 | − | 42.5238i | 0.541458 | − | 3.09315i | ||||
\(190\) | −17.2804 | + | 2.82575i | −1.25365 | + | 0.205002i | ||||
\(191\) | 15.7223 | − | 14.5882i | 1.13763 | − | 1.05556i | 0.139767 | − | 0.990184i | \(-0.455365\pi\) |
0.997860 | − | 0.0653796i | \(-0.0208258\pi\) | |||||||
\(192\) | 19.2376 | + | 14.1980i | 1.38836 | + | 1.02465i | ||||
\(193\) | −5.50567 | − | 10.4172i | −0.396307 | − | 0.749849i | 0.602529 | − | 0.798097i | \(-0.294160\pi\) |
−0.998835 | + | 0.0482486i | \(0.984636\pi\) | |||||||
\(194\) | −1.41905 | − | 18.9359i | −0.101882 | − | 1.35952i | ||||
\(195\) | −16.8808 | − | 7.11538i | −1.20886 | − | 0.509543i | ||||
\(196\) | 0.0318366 | + | 1.16123i | 0.00227405 | + | 0.0829450i | ||||
\(197\) | 10.8854 | − | 10.8854i | 0.775554 | − | 0.775554i | −0.203518 | − | 0.979071i | \(-0.565237\pi\) |
0.979071 | + | 0.203518i | \(0.0652374\pi\) | |||||||
\(198\) | −25.1507 | + | 29.2257i | −1.78738 | + | 2.07698i | ||||
\(199\) | 10.7630 | + | 3.31995i | 0.762970 | + | 0.235345i | 0.651733 | − | 0.758449i | \(-0.274042\pi\) |
0.111237 | + | 0.993794i | \(0.464519\pi\) | |||||||
\(200\) | 1.84556 | + | 13.3692i | 0.130501 | + | 0.945346i | ||||
\(201\) | 23.4762 | + | 25.3013i | 1.65588 | + | 1.78462i | ||||
\(202\) | −5.90310 | + | 3.70916i | −0.415341 | + | 0.260976i | ||||
\(203\) | 16.1190 | + | 14.5503i | 1.13133 | + | 1.02123i | ||||
\(204\) | −0.357972 | + | 0.0817049i | −0.0250631 | + | 0.00572048i | ||||
\(205\) | −2.10989 | − | 3.26658i | −0.147361 | − | 0.228148i | ||||
\(206\) | 19.5311 | − | 21.0495i | 1.36080 | − | 1.46659i | ||||
\(207\) | −1.65922 | + | 8.76921i | −0.115324 | + | 0.609502i | ||||
\(208\) | −8.58041 | + | 6.33263i | −0.594944 | + | 0.439089i | ||||
\(209\) | 15.8290 | + | 7.62286i | 1.09492 | + | 0.527284i | ||||
\(210\) | −1.82970 | − | 28.7328i | −0.126261 | − | 1.98275i | ||||
\(211\) | −19.5555 | + | 9.41745i | −1.34626 | + | 0.648324i | −0.961528 | − | 0.274705i | \(-0.911420\pi\) |
−0.384730 | + | 0.923029i | \(0.625705\pi\) | |||||||
\(212\) | −0.662591 | + | 1.25368i | −0.0455070 | + | 0.0861034i | ||||
\(213\) | −31.1540 | − | 13.5923i | −2.13463 | − | 0.931331i | ||||
\(214\) | −5.26939 | − | 3.04228i | −0.360208 | − | 0.207966i | ||||
\(215\) | 2.43839 | + | 1.89521i | 0.166296 | + | 0.129253i | ||||
\(216\) | 34.4338 | + | 27.4601i | 2.34293 | + | 1.86842i | ||||
\(217\) | −4.13798 | − | 2.73892i | −0.280904 | − | 0.185930i | ||||
\(218\) | 0.0500471 | − | 0.444180i | 0.00338962 | − | 0.0300837i | ||||
\(219\) | −6.61395 | − | 2.59578i | −0.446929 | − | 0.175407i | ||||
\(220\) | −0.558965 | + | 1.09036i | −0.0376854 | + | 0.0735122i | ||||
\(221\) | −0.123883 | + | 1.65310i | −0.00833325 | + | 0.111200i | ||||
\(222\) | 10.9760 | − | 4.78876i | 0.736658 | − | 0.321401i | ||||
\(223\) | −16.7787 | − | 1.89051i | −1.12359 | − | 0.126598i | −0.469439 | − | 0.882965i | \(-0.655544\pi\) |
−0.654147 | + | 0.756367i | \(0.726972\pi\) | |||||||
\(224\) | −2.20606 | − | 1.12753i | −0.147398 | − | 0.0753365i | ||||
\(225\) | 3.95187 | + | 39.4749i | 0.263458 | + | 2.63166i | ||||
\(226\) | −7.70539 | − | 13.3461i | −0.512555 | − | 0.887771i | ||||
\(227\) | −3.55888 | + | 0.953598i | −0.236211 | + | 0.0632925i | −0.374983 | − | 0.927032i | \(-0.622351\pi\) |
0.138772 | + | 0.990324i | \(0.455685\pi\) | |||||||
\(228\) | −1.16761 | + | 2.67620i | −0.0773271 | + | 0.177236i | ||||
\(229\) | 4.70368 | − | 1.45089i | 0.310828 | − | 0.0958778i | −0.135417 | − | 0.990789i | \(-0.543237\pi\) |
0.446245 | + | 0.894911i | \(0.352761\pi\) | |||||||
\(230\) | 0.184594 | + | 3.69701i | 0.0121718 | + | 0.243774i | ||||
\(231\) | −15.0327 | + | 24.6685i | −0.989078 | + | 1.62307i | ||||
\(232\) | −20.9103 | + | 7.31684i | −1.37283 | + | 0.480374i | ||||
\(233\) | −0.709271 | − | 0.961027i | −0.0464659 | − | 0.0629590i | 0.780749 | − | 0.624845i | \(-0.214838\pi\) |
−0.827215 | + | 0.561886i | \(0.810076\pi\) | |||||||
\(234\) | −23.9038 | + | 16.2973i | −1.56264 | + | 1.06539i | ||||
\(235\) | 4.80824 | + | 1.81813i | 0.313655 | + | 0.118602i | ||||
\(236\) | 0.105733 | − | 0.155082i | 0.00688264 | − | 0.0100950i | ||||
\(237\) | −3.38914 | + | 5.39379i | −0.220148 | + | 0.350364i | ||||
\(238\) | −2.41199 | + | 0.984994i | −0.156346 | + | 0.0638477i | ||||
\(239\) | −5.20147 | − | 1.18720i | −0.336455 | − | 0.0767937i | 0.0509556 | − | 0.998701i | \(-0.483773\pi\) |
−0.387411 | + | 0.921907i | \(0.626630\pi\) | |||||||
\(240\) | 28.8452 | + | 13.4499i | 1.86195 | + | 0.868188i | ||||
\(241\) | −1.33303 | − | 8.84406i | −0.0858679 | − | 0.569696i | −0.989849 | − | 0.142124i | \(-0.954607\pi\) |
0.903981 | − | 0.427573i | \(-0.140631\pi\) | |||||||
\(242\) | −0.126409 | + | 0.0668089i | −0.00812586 | + | 0.00429464i | ||||
\(243\) | 38.4703 | + | 33.1064i | 2.46787 | + | 2.12378i | ||||
\(244\) | 0.960883 | 0.0615143 | ||||||||
\(245\) | −3.52113 | − | 15.2513i | −0.224956 | − | 0.974369i | ||||
\(246\) | −8.46341 | −0.539607 | ||||||||
\(247\) | 9.99188 | + | 8.59871i | 0.635768 | + | 0.547123i | ||||
\(248\) | 4.47589 | − | 2.36558i | 0.284219 | − | 0.150214i | ||||
\(249\) | 2.94434 | + | 19.5344i | 0.186590 | + | 1.23794i | ||||
\(250\) | 5.43557 | + | 15.5306i | 0.343776 | + | 0.982240i | ||||
\(251\) | 22.6523 | + | 5.17024i | 1.42980 | + | 0.326343i | 0.866197 | − | 0.499703i | \(-0.166557\pi\) |
0.563604 | + | 0.826045i | \(0.309415\pi\) | |||||||
\(252\) | −3.04062 | − | 1.70037i | −0.191541 | − | 0.107114i | ||||
\(253\) | 1.97601 | − | 3.14481i | 0.124231 | − | 0.197712i | ||||
\(254\) | 14.0200 | − | 20.5636i | 0.879694 | − | 1.29027i | ||||
\(255\) | 4.50955 | − | 2.03491i | 0.282399 | − | 0.127431i | ||||
\(256\) | 3.26876 | − | 2.22860i | 0.204297 | − | 0.139288i | ||||
\(257\) | 5.50559 | + | 7.45980i | 0.343429 | + | 0.465330i | 0.941938 | − | 0.335786i | \(-0.109002\pi\) |
−0.598509 | + | 0.801116i | \(0.704240\pi\) | |||||||
\(258\) | 6.34417 | − | 2.21992i | 0.394971 | − | 0.138206i | ||||
\(259\) | 5.46451 | − | 3.53895i | 0.339548 | − | 0.219900i | ||||
\(260\) | −0.616862 | + | 0.681700i | −0.0382562 | + | 0.0422772i | ||||
\(261\) | −62.2283 | + | 19.1949i | −3.85183 | + | 1.18813i | ||||
\(262\) | −8.44430 | + | 19.3545i | −0.521691 | + | 1.19573i | ||||
\(263\) | 7.61065 | − | 2.03927i | 0.469293 | − | 0.125747i | −0.0164197 | − | 0.999865i | \(-0.505227\pi\) |
0.485713 | + | 0.874119i | \(0.338560\pi\) | |||||||
\(264\) | −14.7358 | − | 25.5231i | −0.906925 | − | 1.57084i | ||||
\(265\) | 5.40328 | − | 18.3265i | 0.331921 | − | 1.12579i | ||||
\(266\) | −5.08746 | + | 20.0837i | −0.311932 | + | 1.23141i | ||||
\(267\) | −50.3107 | − | 5.66865i | −3.07896 | − | 0.346916i | ||||
\(268\) | 1.58765 | − | 0.692686i | 0.0969813 | − | 0.0423125i | ||||
\(269\) | −1.02209 | + | 13.6389i | −0.0623180 | + | 0.831577i | 0.875227 | + | 0.483713i | \(0.160712\pi\) |
−0.937545 | + | 0.347864i | \(0.886907\pi\) | |||||||
\(270\) | 47.7836 | + | 24.4959i | 2.90802 | + | 1.49077i | ||||
\(271\) | −5.97855 | − | 2.34641i | −0.363171 | − | 0.142534i | 0.176737 | − | 0.984258i | \(-0.443446\pi\) |
−0.539908 | + | 0.841724i | \(0.681541\pi\) | |||||||
\(272\) | 0.322466 | − | 2.86197i | 0.0195524 | − | 0.173532i | ||||
\(273\) | −15.6857 | + | 14.9594i | −0.949340 | + | 0.905384i | ||||
\(274\) | 3.05293 | + | 2.43463i | 0.184434 | + | 0.147082i | ||||
\(275\) | 4.47078 | − | 15.8929i | 0.269598 | − | 0.958376i | ||||
\(276\) | 0.534557 | + | 0.308627i | 0.0321766 | + | 0.0185772i | ||||
\(277\) | 5.78577 | + | 2.52431i | 0.347633 | + | 0.151671i | 0.566452 | − | 0.824095i | \(-0.308316\pi\) |
−0.218819 | + | 0.975766i | \(0.570220\pi\) | |||||||
\(278\) | 12.0208 | − | 22.7445i | 0.720962 | − | 1.36413i | ||||
\(279\) | 13.4079 | − | 6.45692i | 0.802712 | − | 0.386566i | ||||
\(280\) | 15.3773 | + | 4.30558i | 0.918968 | + | 0.257308i | ||||
\(281\) | 18.6916 | + | 9.00142i | 1.11505 | + | 0.536979i | 0.898359 | − | 0.439261i | \(-0.144760\pi\) |
0.216690 | + | 0.976240i | \(0.430474\pi\) | |||||||
\(282\) | 9.00165 | − | 6.64352i | 0.536040 | − | 0.395616i | ||||
\(283\) | −3.50248 | + | 18.5110i | −0.208201 | + | 1.10037i | 0.709985 | + | 0.704217i | \(0.248702\pi\) |
−0.918186 | + | 0.396150i | \(0.870346\pi\) | |||||||
\(284\) | −1.16026 | + | 1.25046i | −0.0688488 | + | 0.0742013i | ||||
\(285\) | 8.27474 | − | 38.4621i | 0.490153 | − | 2.27830i | ||||
\(286\) | 11.7378 | − | 2.67908i | 0.694071 | − | 0.158417i | ||||
\(287\) | −4.53998 | + | 0.748061i | −0.267987 | + | 0.0441566i | ||||
\(288\) | 6.29106 | − | 3.95294i | 0.370705 | − | 0.232929i | ||||
\(289\) | 11.2584 | + | 12.1337i | 0.662260 | + | 0.713747i | ||||
\(290\) | −23.2204 | + | 13.7958i | −1.36355 | + | 0.810119i | ||||
\(291\) | 40.7700 | + | 12.5759i | 2.38998 | + | 0.737211i | ||||
\(292\) | −0.232592 | + | 0.270276i | −0.0136114 | + | 0.0158167i | ||||
\(293\) | −5.39518 | + | 5.39518i | −0.315190 | + | 0.315190i | −0.846916 | − | 0.531726i | \(-0.821543\pi\) |
0.531726 | + | 0.846916i | \(0.321543\pi\) | |||||||
\(294\) | −32.0403 | − | 11.5720i | −1.86863 | − | 0.674890i | ||||
\(295\) | −0.982319 | + | 2.33048i | −0.0571928 | + | 0.135686i | ||||
\(296\) | 0.496350 | + | 6.62333i | 0.0288498 | + | 0.384973i | ||||
\(297\) | −25.1753 | − | 47.6339i | −1.46082 | − | 2.76400i | ||||
\(298\) | −22.2075 | − | 16.3899i | −1.28645 | − | 0.949442i | ||||
\(299\) | 2.04285 | − | 1.89549i | 0.118141 | − | 0.109619i | ||||
\(300\) | 2.66721 | + | 0.643731i | 0.153992 | + | 0.0371658i | ||||
\(301\) | 3.20696 | − | 1.75157i | 0.184846 | − | 0.100959i | ||||
\(302\) | −5.52152 | − | 3.46940i | −0.317728 | − | 0.199642i | ||||
\(303\) | −2.91218 | − | 15.3913i | −0.167300 | − | 0.884204i | ||||
\(304\) | −16.7887 | − | 15.5777i | −0.962900 | − | 0.893441i | ||||
\(305\) | −12.6903 | + | 2.56570i | −0.726646 | + | 0.146912i | ||||
\(306\) | 1.16452 | − | 7.72607i | 0.0665710 | − | 0.441670i | ||||
\(307\) | −1.80798 | − | 5.16690i | −0.103187 | − | 0.294890i | 0.880703 | − | 0.473670i | \(-0.157071\pi\) |
−0.983889 | + | 0.178779i | \(0.942785\pi\) | |||||||
\(308\) | 0.919372 | + | 1.12099i | 0.0523861 | + | 0.0638744i | ||||
\(309\) | 27.9933 | + | 58.1287i | 1.59248 | + | 3.30683i | ||||
\(310\) | 4.77724 | − | 3.90831i | 0.271329 | − | 0.221977i | ||||
\(311\) | −8.16391 | + | 3.20410i | −0.462933 | + | 0.181688i | −0.585333 | − | 0.810793i | \(-0.699036\pi\) |
0.122400 | + | 0.992481i | \(0.460941\pi\) | |||||||
\(312\) | −5.72334 | − | 21.3598i | −0.324020 | − | 1.20926i | ||||
\(313\) | −9.39153 | − | 2.51645i | −0.530841 | − | 0.142238i | −0.0165642 | − | 0.999863i | \(-0.505273\pi\) |
−0.514276 | + | 0.857624i | \(0.671939\pi\) | |||||||
\(314\) | 0.904332 | − | 1.13400i | 0.0510344 | − | 0.0639951i | ||||
\(315\) | 44.6975 | + | 14.3378i | 2.51842 | + | 0.807845i | ||||
\(316\) | 0.199327 | + | 0.249948i | 0.0112130 | + | 0.0140607i | ||||
\(317\) | −6.62997 | − | 15.1960i | −0.372376 | − | 0.853495i | −0.997343 | − | 0.0728439i | \(-0.976793\pi\) |
0.624967 | − | 0.780651i | \(-0.285112\pi\) | |||||||
\(318\) | −27.1242 | − | 31.5190i | −1.52105 | − | 1.76749i | ||||
\(319\) | 27.0247 | + | 2.02522i | 1.51309 | + | 0.113391i | ||||
\(320\) | −11.2889 | + | 11.5745i | −0.631069 | + | 0.647033i | ||||
\(321\) | 10.6885 | − | 8.52379i | 0.596574 | − | 0.475752i | ||||
\(322\) | 4.09860 | + | 1.54410i | 0.228406 | + | 0.0860494i | ||||
\(323\) | −3.53777 | + | 0.398612i | −0.196847 | + | 0.0221793i | ||||
\(324\) | 4.33343 | − | 2.50191i | 0.240746 | − | 0.138995i | ||||
\(325\) | 6.32662 | − | 10.6503i | 0.350937 | − | 0.590772i | ||||
\(326\) | 8.14332 | + | 20.7488i | 0.451017 | + | 1.14917i | ||||
\(327\) | 0.887936 | + | 0.469288i | 0.0491030 | + | 0.0259517i | ||||
\(328\) | 1.55038 | − | 4.43073i | 0.0856055 | − | 0.244646i | ||||
\(329\) | 4.24151 | − | 4.35939i | 0.233842 | − | 0.240341i | ||||
\(330\) | −23.7761 | − | 26.9404i | −1.30883 | − | 1.48302i | ||||
\(331\) | 10.4488 | + | 1.57490i | 0.574318 | + | 0.0865645i | 0.429778 | − | 0.902934i | \(-0.358592\pi\) |
0.144540 | + | 0.989499i | \(0.453830\pi\) | |||||||
\(332\) | 0.974148 | + | 0.184319i | 0.0534633 | + | 0.0101158i | ||||
\(333\) | 0.730035 | + | 19.5106i | 0.0400057 | + | 1.06917i | ||||
\(334\) | −8.89801 | − | 6.06656i | −0.486878 | − | 0.331948i | ||||
\(335\) | −19.1185 | + | 13.3875i | −1.04455 | + | 0.731439i | ||||
\(336\) | 28.2043 | − | 24.9527i | 1.53867 | − | 1.36128i | ||||
\(337\) | 8.38219 | + | 13.3402i | 0.456607 | + | 0.726686i | 0.993107 | − | 0.117215i | \(-0.0373965\pi\) |
−0.536499 | + | 0.843901i | \(0.680254\pi\) | |||||||
\(338\) | −10.0916 | − | 0.377601i | −0.548910 | − | 0.0205388i | ||||
\(339\) | 34.2390 | − | 5.16069i | 1.85961 | − | 0.280290i | ||||
\(340\) | −0.0216457 | − | 0.247347i | −0.00117390 | − | 0.0134143i | ||||
\(341\) | −6.17574 | + | 0.462808i | −0.334435 | + | 0.0250625i | ||||
\(342\) | −43.9340 | − | 43.9340i | −2.37568 | − | 2.37568i | ||||
\(343\) | −18.2100 | − | 3.37552i | −0.983250 | − | 0.182261i | ||||
\(344\) | 3.72794i | 0.200997i | ||||||||
\(345\) | −7.88395 | − | 2.64867i | −0.424457 | − | 0.142599i | ||||
\(346\) | 1.92097 | − | 6.22763i | 0.103272 | − | 0.334799i | ||||
\(347\) | −5.35718 | + | 7.25872i | −0.287589 | + | 0.389669i | −0.924446 | − | 0.381313i | \(-0.875472\pi\) |
0.636857 | + | 0.770982i | \(0.280234\pi\) | |||||||
\(348\) | −0.168406 | + | 4.50075i | −0.00902753 | + | 0.241266i | ||||
\(349\) | 0.421499 | − | 1.84671i | 0.0225623 | − | 0.0988520i | −0.962393 | − | 0.271661i | \(-0.912427\pi\) |
0.984955 | + | 0.172809i | \(0.0552843\pi\) | |||||||
\(350\) | 19.4164 | + | 1.43000i | 1.03785 | + | 0.0764368i | ||||
\(351\) | −8.99556 | − | 39.4121i | −0.480147 | − | 2.10366i | ||||
\(352\) | −3.03807 | + | 0.574833i | −0.161929 | + | 0.0306387i | ||||
\(353\) | 18.8536 | − | 0.705453i | 1.00348 | − | 0.0375475i | 0.469402 | − | 0.882984i | \(-0.344469\pi\) |
0.534075 | + | 0.845437i | \(0.320660\pi\) | |||||||
\(354\) | 3.10064 | + | 4.54780i | 0.164797 | + | 0.241713i | ||||
\(355\) | 11.9846 | − | 19.6129i | 0.636074 | − | 1.04094i | ||||
\(356\) | −1.10245 | + | 2.28926i | −0.0584296 | + | 0.121330i | ||||
\(357\) | −0.0802230 | − | 5.85331i | −0.00424585 | − | 0.309790i | ||||
\(358\) | −20.5231 | − | 7.18136i | −1.08468 | − | 0.379547i | ||||
\(359\) | −10.2440 | − | 33.2101i | −0.540655 | − | 1.75276i | −0.651216 | − | 0.758893i | \(-0.725741\pi\) |
0.110560 | − | 0.993869i | \(-0.464735\pi\) | |||||||
\(360\) | −34.6957 | + | 33.0088i | −1.82862 | + | 1.73971i | ||||
\(361\) | −4.65529 | + | 8.06320i | −0.245015 | + | 0.424379i | ||||
\(362\) | 7.20587 | − | 26.8927i | 0.378732 | − | 1.41345i | ||||
\(363\) | −0.0359685 | − | 0.319229i | −0.00188786 | − | 0.0167552i | ||||
\(364\) | 0.448629 | + | 0.990989i | 0.0235145 | + | 0.0519419i | ||||
\(365\) | 2.35014 | − | 4.19058i | 0.123012 | − | 0.219345i | ||||
\(366\) | −10.2946 | + | 26.2302i | −0.538106 | + | 1.37107i | ||||
\(367\) | 21.9456 | − | 18.8858i | 1.14555 | − | 0.985829i | 0.145560 | − | 0.989349i | \(-0.453502\pi\) |
0.999994 | + | 0.00352090i | \(0.00112074\pi\) | |||||||
\(368\) | −3.66981 | + | 3.15813i | −0.191302 | + | 0.164629i | ||||
\(369\) | 5.04124 | − | 12.8449i | 0.262437 | − | 0.668677i | ||||
\(370\) | 2.19339 | + | 7.79509i | 0.114029 | + | 0.405247i | ||||
\(371\) | −17.3360 | − | 14.5101i | −0.900041 | − | 0.753327i | ||||
\(372\) | −0.115238 | − | 1.02277i | −0.00597484 | − | 0.0530281i | ||||
\(373\) | 4.48511 | − | 16.7386i | 0.232230 | − | 0.866694i | −0.747148 | − | 0.664658i | \(-0.768577\pi\) |
0.979378 | − | 0.202036i | \(-0.0647559\pi\) | |||||||
\(374\) | −1.62577 | + | 2.81592i | −0.0840667 | + | 0.145608i | ||||
\(375\) | −36.9446 | − | 1.37985i | −1.90781 | − | 0.0712552i | ||||
\(376\) | 1.82901 | + | 5.92951i | 0.0943241 | + | 0.305791i | ||||
\(377\) | 19.1931 | + | 6.71596i | 0.988496 | + | 0.345890i | ||||
\(378\) | 49.1259 | − | 40.2902i | 2.52676 | − | 2.07231i | ||||
\(379\) | 6.43815 | − | 13.3690i | 0.330706 | − | 0.686717i | −0.667624 | − | 0.744499i | \(-0.732688\pi\) |
0.998329 | + | 0.0577816i | \(0.0184027\pi\) | |||||||
\(380\) | −1.68479 | − | 1.02950i | −0.0864279 | − | 0.0528123i | ||||
\(381\) | 31.5009 | + | 46.2033i | 1.61384 | + | 2.36707i | ||||
\(382\) | 31.5430 | − | 1.18025i | 1.61388 | − | 0.0603871i | ||||
\(383\) | −26.4337 | + | 5.00152i | −1.35070 | + | 0.255566i | −0.810385 | − | 0.585898i | \(-0.800742\pi\) |
−0.540313 | + | 0.841464i | \(0.681694\pi\) | |||||||
\(384\) | 9.20816 | + | 40.3436i | 0.469902 | + | 2.05878i | ||||
\(385\) | −15.1353 | − | 12.3500i | −0.771367 | − | 0.629414i | ||||
\(386\) | 3.85868 | − | 16.9060i | 0.196402 | − | 0.860491i | ||||
\(387\) | −0.409751 | + | 10.9508i | −0.0208288 | + | 0.556662i | ||||
\(388\) | 1.27150 | − | 1.72282i | 0.0645507 | − | 0.0874631i | ||||
\(389\) | −5.21521 | + | 16.9073i | −0.264422 | + | 0.857234i | 0.721842 | + | 0.692058i | \(0.243296\pi\) |
−0.986264 | + | 0.165177i | \(0.947181\pi\) | |||||||
\(390\) | −12.0002 | − | 24.1426i | −0.607652 | − | 1.22251i | ||||
\(391\) | 0.752622i | 0.0380617i | ||||||||
\(392\) | 11.9275 | − | 14.6538i | 0.602428 | − | 0.740129i | ||||
\(393\) | −33.5490 | − | 33.5490i | −1.69232 | − | 1.69232i | ||||
\(394\) | 22.5927 | − | 1.69309i | 1.13820 | − | 0.0852966i | ||||
\(395\) | −3.29990 | − | 2.76882i | −0.166036 | − | 0.139314i | ||||
\(396\) | −4.29925 | + | 0.648007i | −0.216045 | + | 0.0325636i | ||||
\(397\) | −12.5069 | − | 0.467977i | −0.627705 | − | 0.0234871i | −0.278353 | − | 0.960479i | \(-0.589789\pi\) |
−0.349352 | + | 0.936992i | \(0.613598\pi\) | |||||||
\(398\) | 8.81926 | + | 14.0358i | 0.442070 | + | 0.703550i | ||||
\(399\) | −37.8295 | − | 27.1266i | −1.89384 | − | 1.35803i | ||||
\(400\) | −11.6758 | + | 18.0794i | −0.583788 | + | 0.903971i | ||||
\(401\) | 3.08999 | + | 2.10672i | 0.154307 | + | 0.105205i | 0.638012 | − | 0.770026i | \(-0.279757\pi\) |
−0.483705 | + | 0.875231i | \(0.660709\pi\) | |||||||
\(402\) | 1.89934 | + | 50.7609i | 0.0947304 | + | 2.53172i | ||||
\(403\) | −4.56580 | − | 0.863897i | −0.227439 | − | 0.0430338i | ||||
\(404\) | −0.777354 | − | 0.117167i | −0.0386748 | − | 0.00582929i | ||||
\(405\) | −50.5509 | + | 44.6135i | −2.51190 | + | 2.21686i | ||||
\(406\) | 4.01304 | + | 31.7051i | 0.199164 | + | 1.57350i | ||||
\(407\) | 2.68354 | − | 7.66913i | 0.133018 | − | 0.380144i | ||||
\(408\) | 5.28005 | + | 2.79059i | 0.261401 | + | 0.138155i | ||||
\(409\) | 4.14140 | + | 10.5521i | 0.204779 | + | 0.521768i | 0.995958 | − | 0.0898160i | \(-0.0286279\pi\) |
−0.791180 | + | 0.611584i | \(0.790533\pi\) | |||||||
\(410\) | 0.782241 | − | 5.66939i | 0.0386321 | − | 0.279991i | ||||
\(411\) | −7.59817 | + | 4.38680i | −0.374790 | + | 0.216385i | ||||
\(412\) | 3.21756 | − | 0.362532i | 0.158518 | − | 0.0178607i | ||||
\(413\) | 2.06523 | + | 2.16550i | 0.101623 | + | 0.106557i | ||||
\(414\) | −10.2692 | + | 8.18941i | −0.504703 | + | 0.402487i | ||||
\(415\) | −13.3577 | + | 0.166837i | −0.655702 | + | 0.00818970i | ||||
\(416\) | −2.31350 | − | 0.173373i | −0.113429 | − | 0.00850030i | ||||
\(417\) | 37.7035 | + | 43.8122i | 1.84635 | + | 2.14549i | ||||
\(418\) | 10.3398 | + | 23.6990i | 0.505736 | + | 1.15916i | ||||
\(419\) | −4.46607 | − | 5.60028i | −0.218182 | − | 0.273592i | 0.660680 | − | 0.750668i | \(-0.270268\pi\) |
−0.878862 | + | 0.477076i | \(0.841697\pi\) | |||||||
\(420\) | 1.95699 | − | 2.59036i | 0.0954913 | − | 0.126397i | ||||
\(421\) | 2.43745 | − | 3.05646i | 0.118794 | − | 0.148963i | −0.718879 | − | 0.695136i | \(-0.755344\pi\) |
0.837673 | + | 0.546173i | \(0.183916\pi\) | |||||||
\(422\) | −30.8552 | − | 8.26762i | −1.50201 | − | 0.402462i | ||||
\(423\) | 4.72099 | + | 17.6190i | 0.229543 | + | 0.856664i | ||||
\(424\) | 21.4695 | − | 8.42615i | 1.04265 | − | 0.409210i | ||||
\(425\) | 0.946328 | + | 3.20890i | 0.0459037 | + | 0.155655i | ||||
\(426\) | −21.7045 | − | 45.0698i | −1.05158 | − | 2.18364i | ||||
\(427\) | −3.20385 | + | 14.9804i | −0.155045 | + | 0.724954i | ||||
\(428\) | −0.226605 | − | 0.647600i | −0.0109534 | − | 0.0313029i | ||||
\(429\) | −4.03179 | + | 26.7492i | −0.194657 | + | 1.29146i | ||||
\(430\) | 0.900694 | + | 4.45496i | 0.0434353 | + | 0.214837i | ||||
\(431\) | −22.6301 | − | 20.9977i | −1.09005 | − | 1.01142i | −0.999880 | − | 0.0154952i | \(-0.995068\pi\) |
−0.0901730 | − | 0.995926i | \(-0.528742\pi\) | |||||||
\(432\) | 13.0573 | + | 69.0094i | 0.628219 | + | 3.32022i | ||||
\(433\) | 5.76738 | + | 3.62388i | 0.277162 | + | 0.174153i | 0.663439 | − | 0.748230i | \(-0.269096\pi\) |
−0.386277 | + | 0.922383i | \(0.626239\pi\) | |||||||
\(434\) | −1.98668 | − | 7.02771i | −0.0953639 | − | 0.337341i | ||||
\(435\) | −9.79356 | − | 59.8908i | −0.469565 | − | 2.87155i | ||||
\(436\) | 0.0369481 | − | 0.0342828i | 0.00176949 | − | 0.00164185i | ||||
\(437\) | 4.81543 | + | 3.55395i | 0.230353 | + | 0.170008i | ||||
\(438\) | −4.88609 | − | 9.24493i | −0.233466 | − | 0.441740i | ||||
\(439\) | 1.13156 | + | 15.0997i | 0.0540066 | + | 0.720667i | 0.956829 | + | 0.290653i | \(0.0938725\pi\) |
−0.902822 | + | 0.430014i | \(0.858508\pi\) | |||||||
\(440\) | 18.4592 | − | 7.51208i | 0.880008 | − | 0.358124i | ||||
\(441\) | 36.6476 | − | 41.7346i | 1.74512 | − | 1.98736i | ||||
\(442\) | −1.72514 | + | 1.72514i | −0.0820566 | + | 0.0820566i | ||||
\(443\) | −13.4352 | + | 15.6120i | −0.638327 | + | 0.741749i | −0.980203 | − | 0.197996i | \(-0.936557\pi\) |
0.341876 | + | 0.939745i | \(0.388938\pi\) | |||||||
\(444\) | 1.29034 | + | 0.398016i | 0.0612367 | + | 0.0188890i | ||||
\(445\) | 8.44729 | − | 33.1777i | 0.400440 | − | 1.57278i | ||||
\(446\) | −16.9021 | − | 18.2162i | −0.800340 | − | 0.862561i | ||||
\(447\) | 52.5095 | − | 32.9939i | 2.48361 | − | 1.56056i | ||||
\(448\) | 7.23250 | + | 17.7105i | 0.341703 | + | 0.836743i | ||||
\(449\) | 16.7219 | − | 3.81666i | 0.789155 | − | 0.180120i | 0.191096 | − | 0.981571i | \(-0.438796\pi\) |
0.598059 | + | 0.801452i | \(0.295939\pi\) | |||||||
\(450\) | −33.4869 | + | 47.8288i | −1.57859 | + | 2.25467i | ||||
\(451\) | −3.90581 | + | 4.20947i | −0.183918 | + | 0.198216i | ||||
\(452\) | 0.323065 | − | 1.70744i | 0.0151957 | − | 0.0803113i | ||||
\(453\) | 11.7888 | − | 8.70053i | 0.553886 | − | 0.408786i | ||||
\(454\) | −4.88544 | − | 2.35270i | −0.229285 | − | 0.110418i | ||||
\(455\) | −8.57110 | − | 11.8900i | −0.401820 | − | 0.557413i | ||||
\(456\) | 42.7876 | − | 20.6054i | 2.00371 | − | 0.964937i | ||||
\(457\) | −12.1370 | + | 22.9643i | −0.567743 | + | 1.07422i | 0.418390 | + | 0.908268i | \(0.362595\pi\) |
−0.986133 | + | 0.165955i | \(0.946929\pi\) | |||||||
\(458\) | 6.63989 | + | 2.89695i | 0.310262 | + | 0.135366i | ||||
\(459\) | 9.45503 | + | 5.45887i | 0.441323 | + | 0.254798i | ||||
\(460\) | −0.256147 | + | 0.329560i | −0.0119429 | + | 0.0153658i | ||||
\(461\) | −23.2029 | − | 18.5037i | −1.08067 | − | 0.861802i | −0.0897071 | − | 0.995968i | \(-0.528593\pi\) |
−0.990959 | + | 0.134166i | \(0.957165\pi\) | |||||||
\(462\) | −40.4506 | + | 13.0871i | −1.88193 | + | 0.608866i | ||||
\(463\) | 1.75720 | − | 15.5956i | 0.0816641 | − | 0.724789i | −0.884443 | − | 0.466648i | \(-0.845462\pi\) |
0.966107 | − | 0.258141i | \(-0.0831099\pi\) | |||||||
\(464\) | −32.8857 | − | 12.9067i | −1.52668 | − | 0.599178i | ||||
\(465\) | 4.25290 | + | 13.2000i | 0.197223 | + | 0.612133i | ||||
\(466\) | 0.131364 | − | 1.75293i | 0.00608533 | − | 0.0812031i | ||||
\(467\) | −4.85822 | + | 2.11962i | −0.224811 | + | 0.0980842i | −0.509279 | − | 0.860601i | \(-0.670088\pi\) |
0.284468 | + | 0.958686i | \(0.408183\pi\) | |||||||
\(468\) | −3.24176 | − | 0.365259i | −0.149850 | − | 0.0168841i | ||||
\(469\) | 5.50549 | + | 27.0616i | 0.254220 | + | 1.24959i | ||||
\(470\) | 3.61832 | + | 6.64398i | 0.166900 | + | 0.306464i | ||||
\(471\) | 1.62946 | + | 2.82230i | 0.0750814 | + | 0.130045i | ||||
\(472\) | −2.94884 | + | 0.790140i | −0.135731 | + | 0.0363691i | ||||
\(473\) | 1.82367 | − | 4.17990i | 0.0838525 | − | 0.192192i | ||||
\(474\) | −8.95860 | + | 2.76336i | −0.411482 | + | 0.126925i | ||||
\(475\) | 24.9998 | + | 9.09792i | 1.14707 | + | 0.417441i | ||||
\(476\) | −0.278601 | − | 0.0932213i | −0.0127697 | − | 0.00427279i | ||||
\(477\) | 63.9928 | − | 22.3920i | 2.93003 | − | 1.02526i | ||||
\(478\) | −4.66265 | − | 6.31767i | −0.213265 | − | 0.288963i | ||||
\(479\) | −17.0758 | + | 11.6421i | −0.780214 | + | 0.531941i | −0.886684 | − | 0.462375i | \(-0.846997\pi\) |
0.106471 | + | 0.994316i | \(0.466045\pi\) | |||||||
\(480\) | 2.84784 | + | 6.31108i | 0.129986 | + | 0.288060i | ||||
\(481\) | 3.43426 | − | 5.03713i | 0.156589 | − | 0.229673i | ||||
\(482\) | 7.00313 | − | 11.1454i | 0.318984 | − | 0.507660i | ||||
\(483\) | −6.59394 | + | 7.30485i | −0.300035 | + | 0.332382i | ||||
\(484\) | −0.0157181 | − | 0.00358755i | −0.000714458 | − | 0.000163070i | ||||
\(485\) | −12.1924 | + | 26.1483i | −0.553630 | + | 1.18733i | ||||
\(486\) | 11.1329 | + | 73.8617i | 0.504997 | + | 3.35043i | ||||
\(487\) | 10.2373 | − | 5.41059i | 0.463898 | − | 0.245177i | −0.218952 | − | 0.975736i | \(-0.570264\pi\) |
0.682850 | + | 0.730558i | \(0.260740\pi\) | |||||||
\(488\) | −11.8461 | − | 10.1944i | −0.536248 | − | 0.461479i | ||||
\(489\) | −50.0815 | −2.26476 | ||||||||
\(490\) | 10.7131 | − | 20.3933i | 0.483968 | − | 0.921277i | ||||
\(491\) | 18.6049 | 0.839626 | 0.419813 | − | 0.907611i | \(-0.362096\pi\) | ||||
0.419813 | + | 0.907611i | \(0.362096\pi\) | |||||||
\(492\) | −0.723364 | − | 0.622505i | −0.0326118 | − | 0.0280647i | ||||
\(493\) | −4.85525 | + | 2.56607i | −0.218669 | + | 0.115570i | ||||
\(494\) | 2.89153 | + | 19.1841i | 0.130096 | + | 0.863132i | ||||
\(495\) | 55.0496 | − | 20.0378i | 2.47429 | − | 0.900633i | ||||
\(496\) | 7.87076 | + | 1.79645i | 0.353408 | + | 0.0806630i | ||||
\(497\) | −15.6264 | − | 22.2582i | −0.700942 | − | 0.998415i | ||||
\(498\) | −15.4682 | + | 24.6175i | −0.693148 | + | 1.10314i | ||||
\(499\) | 23.9893 | − | 35.1858i | 1.07391 | − | 1.57513i | 0.287133 | − | 0.957891i | \(-0.407298\pi\) |
0.786774 | − | 0.617241i | \(-0.211750\pi\) | |||||||
\(500\) | −0.677738 | + | 1.72719i | −0.0303093 | + | 0.0772424i | ||||
\(501\) | 19.9925 | − | 13.6307i | 0.893199 | − | 0.608973i | ||||
\(502\) | 20.3058 | + | 27.5133i | 0.906290 | + | 1.22798i | ||||
\(503\) | 33.3482 | − | 11.6690i | 1.48692 | − | 0.520297i | 0.539974 | − | 0.841682i | \(-0.318434\pi\) |
0.946949 | + | 0.321385i | \(0.104148\pi\) | |||||||
\(504\) | 19.4459 | + | 53.2219i | 0.866187 | + | 2.37069i | ||||
\(505\) | 10.5793 | − | 0.528233i | 0.470774 | − | 0.0235060i | ||||
\(506\) | 5.22324 | − | 1.61116i | 0.232201 | − | 0.0716247i | ||||
\(507\) | 9.07361 | − | 20.7969i | 0.402973 | − | 0.923624i | ||||
\(508\) | 2.71079 | − | 0.726354i | 0.120272 | − | 0.0322267i | ||||
\(509\) | 8.92365 | + | 15.4562i | 0.395534 | + | 0.685085i | 0.993169 | − | 0.116683i | \(-0.0372262\pi\) |
−0.597635 | + | 0.801768i | \(0.703893\pi\) | |||||||
\(510\) | 6.98398 | + | 2.05911i | 0.309256 | + | 0.0911789i | ||||
\(511\) | −3.43816 | − | 4.52734i | −0.152095 | − | 0.200278i | ||||
\(512\) | −19.0853 | − | 2.15039i | −0.843458 | − | 0.0950349i | ||||
\(513\) | 79.5744 | − | 34.7180i | 3.51330 | − | 1.53284i | ||||
\(514\) | −1.01969 | + | 13.6068i | −0.0449766 | + | 0.600172i | ||||
\(515\) | −41.5261 | + | 13.3793i | −1.82986 | + | 0.589563i | ||||
\(516\) | 0.705515 | + | 0.276894i | 0.0310586 | + | 0.0121896i | ||||
\(517\) | 0.849905 | − | 7.54312i | 0.0373788 | − | 0.331746i | ||||
\(518\) | 9.49311 | + | 1.29807i | 0.417103 | + | 0.0570337i | ||||
\(519\) | 11.4484 | + | 9.12982i | 0.502530 | + | 0.400755i | ||||
\(520\) | 14.8373 | − | 1.85970i | 0.650659 | − | 0.0815532i | ||||
\(521\) | −25.6400 | − | 14.8032i | −1.12331 | − | 0.648542i | −0.181064 | − | 0.983471i | \(-0.557954\pi\) |
−0.942243 | + | 0.334929i | \(0.891288\pi\) | |||||||
\(522\) | −87.8437 | − | 38.3258i | −3.84481 | − | 1.67747i | ||||
\(523\) | −14.2424 | + | 26.9479i | −0.622777 | + | 1.17835i | 0.347802 | + | 0.937568i | \(0.386928\pi\) |
−0.970579 | + | 0.240783i | \(0.922596\pi\) | |||||||
\(524\) | −2.14531 | + | 1.03313i | −0.0937182 | + | 0.0451323i | ||||
\(525\) | −18.9292 | + | 39.4362i | −0.826137 | + | 1.72114i | ||||
\(526\) | 10.4475 | + | 5.03125i | 0.455533 | + | 0.219373i | ||||
\(527\) | 1.00974 | − | 0.745222i | 0.0439849 | − | 0.0324624i | ||||
\(528\) | 8.73744 | − | 46.1785i | 0.380248 | − | 2.00966i | ||||
\(529\) | −14.7834 | + | 15.9327i | −0.642757 | + | 0.692727i | ||||
\(530\) | 23.6206 | − | 15.2566i | 1.02601 | − | 0.662704i | ||||
\(531\) | −8.74907 | + | 1.99692i | −0.379677 | + | 0.0866589i | ||||
\(532\) | −1.91203 | + | 1.34235i | −0.0828969 | + | 0.0581982i | ||||
\(533\) | −3.64825 | + | 2.29235i | −0.158023 | + | 0.0992925i | ||||
\(534\) | −50.6808 | − | 54.6209i | −2.19317 | − | 2.36368i | ||||
\(535\) | 4.72195 | + | 7.94774i | 0.204148 | + | 0.343611i | ||||
\(536\) | −26.9221 | − | 8.30437i | −1.16286 | − | 0.358694i | ||||
\(537\) | 31.8668 | − | 37.0299i | 1.37515 | − | 1.59796i | ||||
\(538\) | −14.2332 | + | 14.2332i | −0.613639 | + | 0.613639i | ||||
\(539\) | −20.5420 | + | 10.5956i | −0.884806 | + | 0.456384i | ||||
\(540\) | 2.28232 | + | 5.60826i | 0.0982152 | + | 0.241341i | ||||
\(541\) | −1.78503 | − | 23.8195i | −0.0767443 | − | 1.02408i | −0.894076 | − | 0.447915i | \(-0.852167\pi\) |
0.817332 | − | 0.576167i | \(-0.195452\pi\) | |||||||
\(542\) | −4.41668 | − | 8.35677i | −0.189713 | − | 0.358954i | ||||
\(543\) | 50.3318 | + | 37.1466i | 2.15995 | + | 1.59411i | ||||
\(544\) | 0.459299 | − | 0.426167i | 0.0196923 | − | 0.0182718i | ||||
\(545\) | −0.396431 | + | 0.551429i | −0.0169812 | + | 0.0236206i | ||||
\(546\) | −31.8584 | + | 1.62953i | −1.36342 | + | 0.0697376i | ||||
\(547\) | −2.59413 | − | 1.63000i | −0.110917 | − | 0.0696938i | 0.475431 | − | 0.879753i | \(-0.342292\pi\) |
−0.586348 | + | 0.810059i | \(0.699435\pi\) | |||||||
\(548\) | 0.0818596 | + | 0.432638i | 0.00349687 | + | 0.0184814i | ||||
\(549\) | −33.6774 | − | 31.2481i | −1.43732 | − | 1.33364i | ||||
\(550\) | 20.2441 | − | 13.4369i | 0.863213 | − | 0.572953i | ||||
\(551\) | −6.50865 | + | 43.1821i | −0.277278 | + | 1.83962i | ||||
\(552\) | −3.31586 | − | 9.47619i | −0.141132 | − | 0.403333i | ||||
\(553\) | −4.56137 | + | 2.27417i | −0.193969 | + | 0.0967074i | ||||
\(554\) | 4.03085 | + | 8.37016i | 0.171255 | + | 0.355614i | ||||
\(555\) | −18.1042 | − | 1.81118i | −0.768479 | − | 0.0768803i | ||||
\(556\) | 2.70034 | − | 1.05980i | 0.114520 | − | 0.0449457i | ||||
\(557\) | −4.79140 | − | 17.8817i | −0.203018 | − | 0.757674i | −0.990045 | − | 0.140754i | \(-0.955047\pi\) |
0.787027 | − | 0.616919i | \(-0.211619\pi\) | |||||||
\(558\) | 21.1554 | + | 5.66856i | 0.895578 | + | 0.239969i | ||||
\(559\) | 2.13345 | − | 2.67527i | 0.0902354 | − | 0.113152i | ||||
\(560\) | 14.1083 | + | 21.1996i | 0.596183 | + | 0.895845i | ||||
\(561\) | −4.55505 | − | 5.71185i | −0.192314 | − | 0.241155i | ||||
\(562\) | 12.2097 | + | 27.9849i | 0.515035 | + | 1.18047i | ||||
\(563\) | 14.2555 | + | 16.5652i | 0.600798 | + | 0.698140i | 0.973208 | − | 0.229928i | \(-0.0738492\pi\) |
−0.372409 | + | 0.928069i | \(0.621468\pi\) | |||||||
\(564\) | 1.25802 | + | 0.0942753i | 0.0529720 | + | 0.00396970i | ||||
\(565\) | 0.292424 | + | 23.4127i | 0.0123024 | + | 0.984979i | ||||
\(566\) | −21.6774 | + | 17.2871i | −0.911167 | + | 0.726632i | ||||
\(567\) | 24.5566 | + | 75.9015i | 1.03128 | + | 3.18756i | ||||
\(568\) | 27.5707 | − | 3.10648i | 1.15684 | − | 0.130345i | ||||
\(569\) | −2.70213 | + | 1.56008i | −0.113279 | + | 0.0654019i | −0.555569 | − | 0.831470i | \(-0.687500\pi\) |
0.442290 | + | 0.896872i | \(0.354166\pi\) | |||||||
\(570\) | 46.1536 | − | 34.9616i | 1.93316 | − | 1.46438i | ||||
\(571\) | 10.1863 | + | 25.9542i | 0.426281 | + | 1.08615i | 0.969181 | + | 0.246350i | \(0.0792312\pi\) |
−0.542900 | + | 0.839798i | \(0.682674\pi\) | |||||||
\(572\) | 1.20028 | + | 0.634366i | 0.0501862 | + | 0.0265242i | ||||
\(573\) | −23.4240 | + | 66.9420i | −0.978553 | + | 2.79654i | ||||
\(574\) | −5.78257 | − | 3.52383i | −0.241360 | − | 0.147082i | ||||
\(575\) | 2.50295 | − | 5.03643i | 0.104380 | − | 0.210033i | ||||
\(576\) | −56.7300 | − | 8.55068i | −2.36375 | − | 0.356278i | ||||
\(577\) | −5.40327 | − | 1.02235i | −0.224941 | − | 0.0425611i | 0.0722191 | − | 0.997389i | \(-0.476992\pi\) |
−0.297160 | + | 0.954828i | \(0.596040\pi\) | |||||||
\(578\) | 0.910861 | + | 24.3433i | 0.0378868 | + | 1.01255i | ||||
\(579\) | 32.1919 | + | 21.9481i | 1.33785 | + | 0.912132i | ||||
\(580\) | −2.99936 | − | 0.528798i | −0.124542 | − | 0.0219571i | ||||
\(581\) | −6.12166 | + | 14.5727i | −0.253969 | + | 0.604576i | ||||
\(582\) | 33.4071 | + | 53.1671i | 1.38477 | + | 2.20385i | ||||
\(583\) | −28.1943 | − | 1.05496i | −1.16769 | − | 0.0436919i | ||||
\(584\) | 5.73494 | − | 0.864403i | 0.237313 | − | 0.0357692i | ||||
\(585\) | 43.7890 | − | 3.83204i | 1.81045 | − | 0.158435i | ||||
\(586\) | −11.1977 | + | 0.839152i | −0.462573 | + | 0.0346651i | ||||
\(587\) | 5.18181 | + | 5.18181i | 0.213876 | + | 0.213876i | 0.805912 | − | 0.592036i | \(-0.201676\pi\) |
−0.592036 | + | 0.805912i | \(0.701676\pi\) | |||||||
\(588\) | −1.88733 | − | 3.34570i | −0.0778321 | − | 0.137974i | ||||
\(589\) | − | 9.97952i | − | 0.411199i | ||||||
\(590\) | −3.33302 | + | 1.65669i | −0.137218 | + | 0.0682049i | ||||
\(591\) | −15.0044 | + | 48.6432i | −0.617200 | + | 2.00091i | ||||
\(592\) | −6.28958 | + | 8.52208i | −0.258500 | + | 0.350255i | ||||
\(593\) | 0.559871 | − | 14.9629i | 0.0229911 | − | 0.614451i | −0.939406 | − | 0.342806i | \(-0.888623\pi\) |
0.962397 | − | 0.271645i | \(-0.0875678\pi\) | |||||||
\(594\) | 17.6442 | − | 77.3044i | 0.723951 | − | 3.17184i | ||||
\(595\) | 3.92838 | + | 0.487261i | 0.161048 | + | 0.0199757i | ||||
\(596\) | −0.692551 | − | 3.03426i | −0.0283680 | − | 0.124288i | ||||
\(597\) | −36.5957 | + | 6.92429i | −1.49776 | + | 0.283392i | ||||
\(598\) | 4.09848 | − | 0.153354i | 0.167599 | − | 0.00627112i | ||||
\(599\) | −22.9692 | − | 33.6897i | −0.938498 | − | 1.37652i | −0.926377 | − | 0.376597i | \(-0.877094\pi\) |
−0.0121211 | − | 0.999927i | \(-0.503858\pi\) | |||||||
\(600\) | −26.0527 | − | 36.2337i | −1.06360 | − | 1.47923i | ||||
\(601\) | 12.9991 | − | 26.9930i | 0.530246 | − | 1.10107i | −0.448079 | − | 0.893994i | \(-0.647892\pi\) |
0.978325 | − | 0.207073i | \(-0.0663939\pi\) | |||||||
\(602\) | 5.25890 | + | 1.12472i | 0.214337 | + | 0.0458400i | ||||
\(603\) | −78.1709 | − | 27.3532i | −3.18337 | − | 1.11391i | ||||
\(604\) | −0.216739 | − | 0.702650i | −0.00881898 | − | 0.0285904i | ||||
\(605\) | 0.217167 | + | 0.00541088i | 0.00882909 | + | 0.000219983i | ||||
\(606\) | 11.5267 | − | 19.9649i | 0.468242 | − | 0.811019i | ||||
\(607\) | −0.263181 | + | 0.982204i | −0.0106822 | + | 0.0398664i | −0.971061 | − | 0.238831i | \(-0.923236\pi\) |
0.960379 | + | 0.278697i | \(0.0899026\pi\) | |||||||
\(608\) | −0.557853 | − | 4.95108i | −0.0226239 | − | 0.200793i | ||||
\(609\) | −69.6065 | − | 17.6322i | −2.82060 | − | 0.714495i | ||||
\(610\) | −16.6193 | − | 9.32040i | −0.672898 | − | 0.377372i | ||||
\(611\) | 2.08084 | − | 5.30189i | 0.0841818 | − | 0.214492i | ||||
\(612\) | 0.667803 | − | 0.574691i | 0.0269943 | − | 0.0232305i | ||||
\(613\) | 17.8527 | − | 15.3635i | 0.721066 | − | 0.620527i | −0.213240 | − | 0.977000i | \(-0.568402\pi\) |
0.934306 | + | 0.356473i | \(0.116021\pi\) | |||||||
\(614\) | 2.94330 | − | 7.49940i | 0.118782 | − | 0.302651i | ||||
\(615\) | 11.2156 | + | 6.28990i | 0.452257 | + | 0.253633i | ||||
\(616\) | 0.558694 | − | 23.5739i | 0.0225104 | − | 0.949821i | ||||
\(617\) | 5.21726 | + | 46.3044i | 0.210039 | + | 1.86415i | 0.449553 | + | 0.893253i | \(0.351583\pi\) |
−0.239515 | + | 0.970893i | \(0.576988\pi\) | |||||||
\(618\) | −24.5755 | + | 91.7169i | −0.988570 | + | 3.68939i | ||||
\(619\) | −19.1737 | + | 33.2099i | −0.770658 | + | 1.33482i | 0.166545 | + | 0.986034i | \(0.446739\pi\) |
−0.937203 | + | 0.348785i | \(0.886594\pi\) | |||||||
\(620\) | 0.695775 | + | 0.0173358i | 0.0279430 | + | 0.000696221i | ||||
\(621\) | −5.40979 | − | 17.5381i | −0.217087 | − | 0.703780i | ||||
\(622\) | −12.1829 | − | 4.26297i | −0.488489 | − | 0.170930i | ||||
\(623\) | −32.0143 | − | 24.8205i | −1.28262 | − | 0.994411i | ||||
\(624\) | 15.3003 | − | 31.7715i | 0.612504 | − | 1.27188i | ||||
\(625\) | 4.33897 | − | 24.6206i | 0.173559 | − | 0.984824i | ||||
\(626\) | −8.06069 | − | 11.8229i | −0.322170 | − | 0.472537i | ||||
\(627\) | −58.0549 | + | 2.17226i | −2.31849 | + | 0.0867518i | ||||
\(628\) | 0.160701 | − | 0.0304063i | 0.00641268 | − | 0.00121334i | ||||
\(629\) | 0.366373 | + | 1.60519i | 0.0146083 | + | 0.0640029i | ||||
\(630\) | 36.0969 | + | 58.9030i | 1.43814 | + | 2.34675i | ||||
\(631\) | −1.15751 | + | 5.07136i | −0.0460796 | + | 0.201888i | −0.992728 | − | 0.120381i | \(-0.961588\pi\) |
0.946648 | + | 0.322269i | \(0.104446\pi\) | |||||||
\(632\) | 0.194428 | − | 5.19619i | 0.00773391 | − | 0.206693i | ||||
\(633\) | 42.6200 | − | 57.7480i | 1.69399 | − | 2.29528i | ||||
\(634\) | 7.19208 | − | 23.3161i | 0.285634 | − | 0.926002i | ||||
\(635\) | −33.8618 | + | 16.8311i | −1.34376 | + | 0.667923i | ||||
\(636\) | − | 4.68897i | − | 0.185930i | ||||||
\(637\) | −16.9456 | + | 3.69002i | −0.671411 | + | 0.146204i | ||||
\(638\) | 28.2024 | + | 28.2024i | 1.11655 | + | 1.11655i | ||||
\(639\) | 81.3305 | − | 6.09488i | 3.21739 | − | 0.241110i | ||||
\(640\) | −27.8761 | + | 2.43948i | −1.10190 | + | 0.0964289i | ||||
\(641\) | −29.6729 | + | 4.47247i | −1.17201 | + | 0.176652i | −0.706055 | − | 0.708157i | \(-0.749527\pi\) |
−0.465954 | + | 0.884809i | \(0.654289\pi\) | |||||||
\(642\) | 20.1059 | + | 0.752311i | 0.793518 | + | 0.0296913i | ||||
\(643\) | −10.9729 | − | 17.4633i | −0.432730 | − | 0.688686i | 0.557178 | − | 0.830393i | \(-0.311884\pi\) |
−0.989909 | + | 0.141706i | \(0.954741\pi\) | |||||||
\(644\) | 0.236733 | + | 0.433436i | 0.00932859 | + | 0.0170798i | ||||
\(645\) | −10.0570 | − | 1.77309i | −0.395996 | − | 0.0698155i | ||||
\(646\) | −4.32912 | − | 2.95154i | −0.170327 | − | 0.116127i | ||||
\(647\) | 0.610427 | + | 16.3140i | 0.0239984 | + | 0.641370i | 0.958447 | + | 0.285271i | \(0.0920838\pi\) |
−0.934448 | + | 0.356099i | \(0.884107\pi\) | |||||||
\(648\) | −79.9678 | − | 15.1307i | −3.14143 | − | 0.594391i | ||||
\(649\) | 3.69287 | + | 0.556611i | 0.144958 | + | 0.0218489i | ||||
\(650\) | 17.2816 | − | 5.80717i | 0.677838 | − | 0.227776i | ||||
\(651\) | 16.3295 | + | 1.61360i | 0.640003 | + | 0.0632418i | ||||
\(652\) | −0.830124 | + | 2.37236i | −0.0325102 | + | 0.0929088i | ||||
\(653\) | 35.3974 | + | 18.7081i | 1.38521 | + | 0.732104i | 0.983028 | − | 0.183456i | \(-0.0587284\pi\) |
0.402181 | + | 0.915560i | \(0.368252\pi\) | |||||||
\(654\) | 0.540002 | + | 1.37590i | 0.0211158 | + | 0.0538021i | ||||
\(655\) | 25.5743 | − | 19.3727i | 0.999272 | − | 0.756955i | ||||
\(656\) | 6.48279 | − | 3.74284i | 0.253110 | − | 0.146133i | ||||
\(657\) | 16.9414 | − | 1.90884i | 0.660947 | − | 0.0744708i | ||||
\(658\) | 8.91642 | − | 0.791211i | 0.347598 | − | 0.0308446i | ||||
\(659\) | 7.75228 | − | 6.18223i | 0.301986 | − | 0.240826i | −0.460759 | − | 0.887525i | \(-0.652423\pi\) |
0.762745 | + | 0.646700i | \(0.223851\pi\) | |||||||
\(660\) | −0.0506016 | − | 4.05138i | −0.00196967 | − | 0.157700i | ||||
\(661\) | −2.83504 | − | 0.212457i | −0.110270 | − | 0.00826361i | 0.0194807 | − | 0.999810i | \(-0.493799\pi\) |
−0.129751 | + | 0.991547i | \(0.541418\pi\) | |||||||
\(662\) | 10.1440 | + | 11.7875i | 0.394257 | + | 0.458134i | ||||
\(663\) | −2.19208 | − | 5.02430i | −0.0851333 | − | 0.195128i | ||||
\(664\) | −10.0541 | − | 12.6075i | −0.390176 | − | 0.489265i | ||||
\(665\) | 21.6678 | − | 22.8337i | 0.840240 | − | 0.885453i | ||||
\(666\) | −17.9155 | + | 22.4653i | −0.694210 | + | 0.870512i | ||||
\(667\) | 8.91729 | + | 2.38938i | 0.345279 | + | 0.0925172i | ||||
\(668\) | −0.314299 | − | 1.17298i | −0.0121606 | − | 0.0453839i | ||||
\(669\) | 51.9741 | − | 20.3983i | 2.00944 | − | 0.788646i | ||||
\(670\) | −34.1788 | − | 3.41932i | −1.32044 | − | 0.132100i | ||||
\(671\) | 8.29527 | + | 17.2253i | 0.320235 | + | 0.664976i | ||||
\(672\) | 8.19166 | − | 0.112271i | 0.316000 | − | 0.00433096i | ||||
\(673\) | 15.2516 | + | 43.5866i | 0.587907 | + | 1.68014i | 0.724299 | + | 0.689486i | \(0.242164\pi\) |
−0.136392 | + | 0.990655i | \(0.543551\pi\) | |||||||
\(674\) | −3.45584 | + | 22.9280i | −0.133114 | + | 0.883154i | ||||
\(675\) | −45.1173 | − | 67.9739i | −1.73657 | − | 2.61631i | ||||
\(676\) | −0.834751 | − | 0.774536i | −0.0321058 | − | 0.0297898i | ||||
\(677\) | 0.0738991 | + | 0.390566i | 0.00284017 | + | 0.0150107i | 0.983958 | − | 0.178401i | \(-0.0570924\pi\) |
−0.981118 | + | 0.193412i | \(0.938045\pi\) | |||||||
\(678\) | 43.1484 | + | 27.1120i | 1.65711 | + | 1.04123i | ||||
\(679\) | 22.6197 | + | 25.5674i | 0.868066 | + | 0.981187i | ||||
\(680\) | −2.35735 | + | 3.27903i | −0.0904002 | + | 0.125745i | ||||
\(681\) | 8.93105 | − | 8.28680i | 0.342238 | − | 0.317551i | ||||
\(682\) | −7.33346 | − | 5.41234i | −0.280813 | − | 0.207249i | ||||
\(683\) | 1.44147 | + | 2.72740i | 0.0551564 | + | 0.104361i | 0.910152 | − | 0.414274i | \(-0.135964\pi\) |
−0.854996 | + | 0.518635i | \(0.826441\pi\) | |||||||
\(684\) | −0.523564 | − | 6.98648i | −0.0200190 | − | 0.267135i | ||||
\(685\) | −2.23632 | − | 5.49525i | −0.0854456 | − | 0.209963i | ||||
\(686\) | −17.0732 | − | 21.2468i | −0.651859 | − | 0.811206i | ||||
\(687\) | −11.5095 | + | 11.5095i | −0.439116 | + | 0.439116i | ||||
\(688\) | −3.87777 | + | 4.50605i | −0.147838 | + | 0.171791i | ||||
\(689\) | −20.2292 | − | 6.23989i | −0.770673 | − | 0.237721i | ||||
\(690\) | −6.25203 | − | 10.5231i | −0.238011 | − | 0.400607i | ||||
\(691\) | −26.6454 | − | 28.7169i | −1.01364 | − | 1.09244i | −0.995703 | − | 0.0926047i | \(-0.970481\pi\) |
−0.0179368 | − | 0.999839i | \(-0.505710\pi\) | |||||||
\(692\) | 0.622243 | − | 0.390981i | 0.0236541 | − | 0.0148629i | ||||
\(693\) | 4.23226 | − | 69.1871i | 0.160770 | − | 2.62820i | ||||
\(694\) | −12.9443 | + | 2.95445i | −0.491359 | + | 0.112149i | ||||
\(695\) | −32.8333 | + | 21.2071i | −1.24544 | + | 0.804430i | ||||
\(696\) | 49.8265 | − | 53.7001i | 1.88867 | − | 2.03550i | ||||
\(697\) | 0.216334 | − | 1.14335i | 0.00819422 | − | 0.0433075i | ||||
\(698\) | 2.24300 | − | 1.65541i | 0.0848987 | − | 0.0626581i | ||||
\(699\) | 3.55849 | + | 1.71368i | 0.134594 | + | 0.0648172i | ||||
\(700\) | 1.55433 | + | 1.55035i | 0.0587483 | + | 0.0585977i | ||||
\(701\) | 28.1771 | − | 13.5694i | 1.06423 | − | 0.512508i | 0.181990 | − | 0.983300i | \(-0.441746\pi\) |
0.882244 | + | 0.470792i | \(0.156032\pi\) | |||||||
\(702\) | 27.8002 | − | 52.6006i | 1.04925 | − | 1.98528i | ||||
\(703\) | 12.0003 | + | 5.23570i | 0.452602 | + | 0.197468i | ||||
\(704\) | 20.6764 | + | 11.9375i | 0.779271 | + | 0.449912i | ||||
\(705\) | −16.8663 | + | 2.11401i | −0.635220 | + | 0.0796181i | ||||
\(706\) | 21.7088 | + | 17.3122i | 0.817023 | + | 0.651554i | ||||
\(707\) | 4.41858 | − | 11.7285i | 0.166178 | − | 0.441096i | ||||
\(708\) | −0.0694920 | + | 0.616758i | −0.00261167 | + | 0.0231792i | ||||
\(709\) | 23.9237 | + | 9.38935i | 0.898472 | + | 0.352624i | 0.769217 | − | 0.638987i | \(-0.220646\pi\) |
0.129255 | + | 0.991611i | \(0.458742\pi\) | |||||||
\(710\) | 32.1970 | − | 10.3736i | 1.20833 | − | 0.389313i | ||||
\(711\) | 1.14226 | − | 15.2424i | 0.0428382 | − | 0.571636i | ||||
\(712\) | 37.8790 | − | 16.5264i | 1.41957 | − | 0.619354i | ||||
\(713\) | −2.09642 | − | 0.236210i | −0.0785115 | − | 0.00884612i | ||||
\(714\) | 5.52959 | − | 6.60650i | 0.206940 | − | 0.247242i | ||||
\(715\) | −17.5459 | − | 5.17311i | −0.656178 | − | 0.193463i | ||||
\(716\) | −1.22590 | − | 2.12332i | −0.0458140 | − | 0.0793521i | ||||
\(717\) | 17.0410 | − | 4.56613i | 0.636409 | − | 0.170525i | ||||
\(718\) | 20.4538 | − | 46.8806i | 0.763328 | − | 1.74957i | ||||
\(719\) | −40.6888 | + | 12.5508i | −1.51744 | + | 0.468067i | −0.937907 | − | 0.346886i | \(-0.887239\pi\) |
−0.579528 | + | 0.814952i | \(0.696763\pi\) | |||||||
\(720\) | −76.2729 | + | 3.80836i | −2.84252 | + | 0.141929i | ||||
\(721\) | −5.07626 | + | 51.3714i | −0.189050 | + | 1.91317i | ||||
\(722\) | −12.9336 | + | 4.52566i | −0.481339 | + | 0.168428i | ||||
\(723\) | 17.5624 | + | 23.7962i | 0.653152 | + | 0.884989i | ||||
\(724\) | 2.59391 | − | 1.76850i | 0.0964018 | − | 0.0657256i | ||||
\(725\) | 41.0243 | − | 1.02495i | 1.52361 | − | 0.0380655i | ||||
\(726\) | 0.266331 | − | 0.390636i | 0.00988447 | − | 0.0144979i | ||||
\(727\) | 2.49326 | − | 3.96800i | 0.0924700 | − | 0.147165i | −0.797286 | − | 0.603602i | \(-0.793732\pi\) |
0.889756 | + | 0.456437i | \(0.150875\pi\) | |||||||
\(728\) | 4.98295 | − | 16.9769i | 0.184680 | − | 0.629207i | ||||
\(729\) | −75.4343 | − | 17.2174i | −2.79386 | − | 0.637681i | ||||
\(730\) | 6.64451 | − | 2.41858i | 0.245925 | − | 0.0895155i | ||||
\(731\) | 0.137733 | + | 0.913799i | 0.00509424 | + | 0.0337981i | ||||
\(732\) | −2.80917 | + | 1.48469i | −0.103830 | + | 0.0548757i | ||||
\(733\) | 14.3226 | + | 12.3256i | 0.529015 | + | 0.455255i | 0.875789 | − | 0.482694i | \(-0.160342\pi\) |
−0.346773 | + | 0.937949i | \(0.612723\pi\) | |||||||
\(734\) | 42.6108 | 1.57279 | ||||||||
\(735\) | 33.8593 | + | 39.1470i | 1.24892 | + | 1.44396i | ||||
\(736\) | −1.05329 | −0.0388247 | ||||||||
\(737\) | 26.1236 | + | 22.4812i | 0.962276 | + | 0.828105i | ||||
\(738\) | 17.9545 | − | 9.48921i | 0.660913 | − | 0.349303i | ||||
\(739\) | 1.64771 | + | 10.9319i | 0.0606121 | + | 0.402135i | 0.998479 | + | 0.0551390i | \(0.0175602\pi\) |
−0.937867 | + | 0.346996i | \(0.887202\pi\) | |||||||
\(740\) | −0.385881 | + | 0.827573i | −0.0141853 | + | 0.0304222i | ||||
\(741\) | −42.4977 | − | 9.69982i | −1.56119 | − | 0.356332i | ||||
\(742\) | −5.40923 | − | 32.8286i | −0.198579 | − | 1.20518i | ||||
\(743\) | 18.3597 | − | 29.2194i | 0.673554 | − | 1.07195i | −0.318715 | − | 0.947850i | \(-0.603251\pi\) |
0.992269 | − | 0.124104i | \(-0.0396057\pi\) | |||||||
\(744\) | −9.43027 | + | 13.8317i | −0.345730 | + | 0.507093i | ||||
\(745\) | 17.2484 | + | 38.2241i | 0.631933 | + | 1.40042i | ||||
\(746\) | 21.0720 | − | 14.3667i | 0.771502 | − | 0.526001i | ||||
\(747\) | −28.1483 | − | 38.1395i | −1.02989 | − | 1.39545i | ||||
\(748\) | −0.346072 | + | 0.121096i | −0.0126537 | + | 0.00442771i | ||||
\(749\) | 10.8518 | − | 1.37356i | 0.396517 | − | 0.0501887i | ||||
\(750\) | −39.8878 | − | 37.0054i | −1.45650 | − | 1.35125i | ||||
\(751\) | 38.4358 | − | 11.8559i | 1.40254 | − | 0.432627i | 0.501049 | − | 0.865419i | \(-0.332947\pi\) |
0.901494 | + | 0.432791i | \(0.142471\pi\) | |||||||
\(752\) | −3.95706 | + | 9.06967i | −0.144299 | + | 0.330737i | ||||
\(753\) | −74.2134 | + | 19.8854i | −2.70448 | + | 0.724665i | ||||
\(754\) | 14.9631 | + | 25.9169i | 0.544924 | + | 0.943836i | ||||
\(755\) | 4.73864 | + | 8.70113i | 0.172457 | + | 0.316667i | ||||
\(756\) | 7.16222 | + | 0.169742i | 0.260487 | + | 0.00617346i | ||||
\(757\) | −1.42837 | − | 0.160939i | −0.0519152 | − | 0.00584943i | 0.0859687 | − | 0.996298i | \(-0.472601\pi\) |
−0.137884 | + | 0.990448i | \(0.544030\pi\) | |||||||
\(758\) | 20.0159 | − | 8.73283i | 0.727009 | − | 0.317191i | ||||
\(759\) | −0.917795 | + | 12.2471i | −0.0333139 | + | 0.444543i | ||||
\(760\) | 9.84828 | + | 30.5667i | 0.357235 | + | 1.10877i | ||||
\(761\) | 31.3247 | + | 12.2940i | 1.13552 | + | 0.445658i | 0.857279 | − | 0.514853i | \(-0.172153\pi\) |
0.278241 | + | 0.960511i | \(0.410249\pi\) | |||||||
\(762\) | −9.21450 | + | 81.7810i | −0.333806 | + | 2.96261i | ||||
\(763\) | 0.411284 | + | 0.690340i | 0.0148895 | + | 0.0249920i | ||||
\(764\) | 2.78278 | + | 2.21919i | 0.100677 | + | 0.0802875i | ||||
\(765\) | −7.28512 | + | 9.37304i | −0.263394 | + | 0.338883i | ||||
\(766\) | −34.2887 | − | 19.7966i | −1.23890 | − | 0.715279i | ||||
\(767\) | 2.56835 | + | 1.12056i | 0.0927378 | + | 0.0404611i | ||||
\(768\) | −6.11283 | + | 11.5660i | −0.220578 | + | 0.417354i | ||||
\(769\) | −27.4461 | + | 13.2174i | −0.989733 | + | 0.476630i | −0.857442 | − | 0.514580i | \(-0.827948\pi\) |
−0.132291 | + | 0.991211i | \(0.542233\pi\) | |||||||
\(770\) | −5.02797 | − | 28.3063i | −0.181195 | − | 1.02009i | ||||
\(771\) | −27.6221 | − | 13.3021i | −0.994786 | − | 0.479064i | ||||
\(772\) | 1.57328 | − | 1.16113i | 0.0566235 | − | 0.0417901i | ||||
\(773\) | 3.74708 | − | 19.8038i | 0.134773 | − | 0.712292i | −0.848363 | − | 0.529415i | \(-0.822411\pi\) |
0.983136 | − | 0.182877i | \(-0.0585410\pi\) | |||||||
\(774\) | −10.9697 | + | 11.8225i | −0.394297 | + | 0.424951i | ||||
\(775\) | −9.23535 | + | 1.62887i | −0.331744 | + | 0.0585109i | ||||
\(776\) | −33.9536 | + | 7.74969i | −1.21886 | + | 0.278198i | ||||
\(777\) | −10.5075 | + | 18.7896i | −0.376955 | + | 0.674074i | ||||
\(778\) | −22.0484 | + | 13.8539i | −0.790473 | + | 0.496687i | ||||
\(779\) | −6.29384 | − | 6.78315i | −0.225500 | − | 0.243032i | ||||
\(780\) | 0.750099 | − | 2.94610i | 0.0268578 | − | 0.105487i | ||||
\(781\) | −32.4330 | − | 10.0042i | −1.16054 | − | 0.357980i | ||||
\(782\) | −0.722504 | + | 0.839565i | −0.0258367 | + | 0.0300228i | ||||
\(783\) | 94.6955 | − | 94.6955i | 3.38414 | − | 3.38414i | ||||
\(784\) | 29.6598 | − | 5.30557i | 1.05928 | − | 0.189485i | ||||
\(785\) | −2.04118 | + | 0.830671i | −0.0728529 | + | 0.0296479i | ||||
\(786\) | −5.21813 | − | 69.6311i | −0.186125 | − | 2.48366i | ||||
\(787\) | 18.7370 | + | 35.4521i | 0.667900 | + | 1.26373i | 0.952341 | + | 0.305036i | \(0.0986684\pi\) |
−0.284440 | + | 0.958694i | \(0.591808\pi\) | |||||||
\(788\) | 2.05552 | + | 1.51704i | 0.0732250 | + | 0.0540425i | ||||
\(789\) | −19.0990 | + | 17.7213i | −0.679944 | + | 0.630895i | ||||
\(790\) | −1.02309 | − | 6.25652i | −0.0363998 | − | 0.222597i | ||||
\(791\) | 25.5423 | + | 10.7298i | 0.908179 | + | 0.381506i | ||||
\(792\) | 59.8775 | + | 37.6235i | 2.12766 | + | 1.33689i | ||||
\(793\) | 2.66694 | + | 14.0951i | 0.0947059 | + | 0.500533i | ||||
\(794\) | −13.5025 | − | 12.5285i | −0.479185 | − | 0.444619i | ||||
\(795\) | 12.5203 | + | 61.9270i | 0.444048 | + | 2.19632i | ||||
\(796\) | −0.278588 | + | 1.84831i | −0.00987430 | + | 0.0655117i | ||||
\(797\) | 2.48329 | + | 7.09685i | 0.0879628 | + | 0.251383i | 0.979458 | − | 0.201646i | \(-0.0646290\pi\) |
−0.891496 | + | 0.453029i | \(0.850343\pi\) | |||||||
\(798\) | −16.1585 | − | 66.5759i | −0.572006 | − | 2.35676i | ||||
\(799\) | 0.667404 | + | 1.38588i | 0.0236111 | + | 0.0490289i | ||||
\(800\) | −4.49083 | + | 1.32438i | −0.158775 | + | 0.0468238i | ||||
\(801\) | 113.086 | − | 44.3830i | 3.99570 | − | 1.56819i | ||||
\(802\) | 1.42453 | + | 5.31643i | 0.0503020 | + | 0.187730i | ||||
\(803\) | −6.85307 | − | 1.83628i | −0.241840 | − | 0.0648008i | ||||
\(804\) | −3.57126 | + | 4.47822i | −0.125949 | + | 0.157935i | ||||
\(805\) | −4.28386 | − | 5.09225i | −0.150986 | − | 0.179478i | ||||
\(806\) | −4.26392 | − | 5.34679i | −0.150190 | − | 0.188333i | ||||
\(807\) | −18.0857 | − | 41.4529i | −0.636647 | − | 1.45921i | ||||
\(808\) | 8.34041 | + | 9.69174i | 0.293415 | + | 0.340954i | ||||
\(809\) | 14.7574 | + | 1.10592i | 0.518844 | + | 0.0388820i | 0.331579 | − | 0.943427i | \(-0.392419\pi\) |
0.187265 | + | 0.982309i | \(0.440038\pi\) | |||||||
\(810\) | −99.2188 | + | 1.23924i | −3.48619 | + | 0.0435424i | ||||
\(811\) | −27.1298 | + | 21.6353i | −0.952658 | + | 0.759719i | −0.970744 | − | 0.240117i | \(-0.922814\pi\) |
0.0180862 | + | 0.999836i | \(0.494243\pi\) | |||||||
\(812\) | −1.98900 | + | 3.00499i | −0.0698002 | + | 0.105455i | ||||
\(813\) | 21.1040 | − | 2.37785i | 0.740148 | − | 0.0833947i | ||||
\(814\) | 10.3558 | − | 5.97891i | 0.362970 | − | 0.209561i | ||||
\(815\) | 4.62884 | − | 33.5482i | 0.162141 | − | 1.17514i | ||||
\(816\) | 3.47937 | + | 8.86530i | 0.121802 | + | 0.310348i | ||||
\(817\) | 6.49706 | + | 3.43380i | 0.227303 | + | 0.120133i | ||||
\(818\) | −5.51003 | + | 15.7468i | −0.192654 | + | 0.550572i | ||||
\(819\) | 16.5034 | − | 49.3221i | 0.576675 | − | 1.72345i | ||||
\(820\) | 0.483856 | − | 0.427025i | 0.0168970 | − | 0.0149124i | ||||
\(821\) | 22.8963 | + | 3.45107i | 0.799088 | + | 0.120443i | 0.535878 | − | 0.844296i | \(-0.319981\pi\) |
0.263210 | + | 0.964739i | \(0.415219\pi\) | |||||||
\(822\) | −12.6872 | − | 2.40054i | −0.442516 | − | 0.0837285i | ||||
\(823\) | −1.23416 | − | 32.9836i | −0.0430200 | − | 1.14973i | −0.838902 | − | 0.544283i | \(-0.816802\pi\) |
0.795882 | − | 0.605452i | \(-0.207008\pi\) | |||||||
\(824\) | −43.5134 | − | 29.6670i | −1.51586 | − | 1.03350i | ||||
\(825\) | 11.4861 | + | 53.3712i | 0.399894 | + | 1.85815i | ||||
\(826\) | 0.224966 | + | 4.39824i | 0.00782757 | + | 0.153034i | ||||
\(827\) | −1.45315 | − | 2.31268i | −0.0505310 | − | 0.0804197i | 0.820503 | − | 0.571642i | \(-0.193693\pi\) |
−0.871034 | + | 0.491222i | \(0.836550\pi\) | |||||||
\(828\) | −1.48006 | − | 0.0553798i | −0.0514355 | − | 0.00192458i | ||||
\(829\) | −37.6211 | + | 5.67047i | −1.30664 | + | 0.196944i | −0.765197 | − | 0.643796i | \(-0.777358\pi\) |
−0.541439 | + | 0.840740i | \(0.682120\pi\) | |||||||
\(830\) | −15.0609 | − | 12.6370i | −0.522772 | − | 0.438638i | ||||
\(831\) | −20.8153 | + | 1.55989i | −0.722073 | + | 0.0541119i | ||||
\(832\) | 12.6672 | + | 12.6672i | 0.439155 | + | 0.439155i | ||||
\(833\) | 2.38228 | − | 4.03264i | 0.0825411 | − | 0.139723i | ||||
\(834\) | 85.0681i | 2.94567i | ||||||||
\(835\) | 7.28296 | + | 14.6522i | 0.252037 | + | 0.507061i | ||||
\(836\) | −0.859388 | + | 2.78607i | −0.0297226 | + | 0.0963582i | ||||
\(837\) | −18.1730 | + | 24.6236i | −0.628152 | + | 0.851116i | ||||
\(838\) | 0.394176 | − | 10.5346i | 0.0136166 | − | 0.363911i | ||||
\(839\) | −2.21129 | + | 9.68829i | −0.0763422 | + | 0.334477i | −0.998648 | − | 0.0519841i | \(-0.983445\pi\) |
0.922306 | + | 0.386461i | \(0.126303\pi\) | |||||||
\(840\) | −51.6086 | + | 11.1724i | −1.78067 | + | 0.385485i | ||||
\(841\) | 8.53633 | + | 37.4001i | 0.294356 | + | 1.28966i | ||||
\(842\) | 5.65318 | − | 1.06964i | 0.194821 | − | 0.0368622i | ||||
\(843\) | −68.5539 | + | 2.56511i | −2.36112 | + | 0.0883469i | ||||
\(844\) | −2.02908 | − | 2.97611i | −0.0698437 | − | 0.102442i | ||||
\(845\) | 13.0926 | + | 8.00034i | 0.450400 | + | 0.275220i | ||||
\(846\) | −11.6476 | + | 24.1864i | −0.400451 | + | 0.831546i | ||||
\(847\) | 0.108339 | − | 0.233087i | 0.00372258 | − | 0.00800897i | ||||
\(848\) | 34.7155 | + | 12.1475i | 1.19213 | + | 0.417146i | ||||
\(849\) | −18.3624 | − | 59.5293i | −0.630195 | − | 2.04304i | ||||
\(850\) | −2.02484 | + | 4.48805i | −0.0694515 | + | 0.153939i | ||||
\(851\) | 1.38392 | − | 2.39701i | 0.0474400 | − | 0.0821685i | ||||
\(852\) | 1.45993 | − | 5.44852i | 0.0500162 | − | 0.186663i | ||||
\(853\) | −5.84425 | − | 51.8691i | −0.200103 | − | 1.77597i | −0.546091 | − | 0.837726i | \(-0.683885\pi\) |
0.345987 | − | 0.938239i | \(-0.387544\pi\) | |||||||
\(854\) | −17.9549 | + | 13.6353i | −0.614405 | + | 0.466592i | ||||
\(855\) | 25.5697 | + | 90.8720i | 0.874464 | + | 3.10776i | ||||
\(856\) | −4.07698 | + | 10.3880i | −0.139348 | + | 0.355054i | ||||
\(857\) | 4.24469 | − | 3.65285i | 0.144996 | − | 0.124779i | −0.576799 | − | 0.816886i | \(-0.695698\pi\) |
0.721795 | + | 0.692107i | \(0.243317\pi\) | |||||||
\(858\) | −30.1763 | + | 25.9688i | −1.03020 | + | 0.886560i | ||||
\(859\) | −5.94964 | + | 15.1594i | −0.202999 | + | 0.517234i | −0.995727 | − | 0.0923417i | \(-0.970565\pi\) |
0.792728 | + | 0.609575i | \(0.208660\pi\) | |||||||
\(860\) | −0.250692 | + | 0.447012i | −0.00854851 | + | 0.0152430i | ||||
\(861\) | 12.1169 | − | 9.20185i | 0.412944 | − | 0.313598i | ||||
\(862\) | −5.08694 | − | 45.1478i | −0.173262 | − | 1.53774i | ||||
\(863\) | −6.72631 | + | 25.1029i | −0.228966 | + | 0.854513i | 0.751810 | + | 0.659379i | \(0.229181\pi\) |
−0.980777 | + | 0.195134i | \(0.937486\pi\) | |||||||
\(864\) | −7.63963 | + | 13.2322i | −0.259906 | + | 0.450170i | ||||
\(865\) | −7.17394 | + | 6.82514i | −0.243921 | + | 0.232062i | ||||
\(866\) | 2.95476 | + | 9.57910i | 0.100407 | + | 0.325511i | ||||
\(867\) | −51.6625 | − | 18.0775i | −1.75455 | − | 0.613943i | ||||
\(868\) | 0.347105 | − | 0.746782i | 0.0117815 | − | 0.0253474i | ||||
\(869\) | −2.75992 | + | 5.73104i | −0.0936240 | + | 0.194412i | ||||
\(870\) | 46.5693 | − | 76.2111i | 1.57885 | − | 2.58380i | ||||
\(871\) | 14.5675 | + | 21.3666i | 0.493601 | + | 0.723980i | ||||
\(872\) | −0.819229 | + | 0.0306534i | −0.0277426 | + | 0.00103806i | ||||
\(873\) | −100.591 | + | 19.0328i | −3.40447 | + | 0.644161i | ||||
\(874\) | 1.95998 | + | 8.58723i | 0.0662973 | + | 0.290467i | ||||
\(875\) | −24.6676 | − | 16.3250i | −0.833919 | − | 0.551887i | ||||
\(876\) | 0.262376 | − | 1.14954i | 0.00886487 | − | 0.0388395i | ||||
\(877\) | 0.562838 | − | 15.0422i | 0.0190057 | − | 0.507938i | −0.956986 | − | 0.290132i | \(-0.906301\pi\) |
0.975992 | − | 0.217805i | \(-0.0698898\pi\) | |||||||
\(878\) | −13.2331 | + | 17.9303i | −0.446597 | + | 0.605117i | ||||
\(879\) | 7.43671 | − | 24.1092i | 0.250834 | − | 0.813184i | ||||
\(880\) | 30.1261 | + | 10.1211i | 1.01555 | + | 0.341181i | ||||
\(881\) | − | 9.81555i | − | 0.330694i | −0.986235 | − | 0.165347i | \(-0.947126\pi\) | ||
0.986235 | − | 0.165347i | \(-0.0528744\pi\) | |||||||
\(882\) | 80.9456 | − | 11.3747i | 2.72558 | − | 0.383007i | ||||
\(883\) | −13.3466 | − | 13.3466i | −0.449148 | − | 0.449148i | 0.445923 | − | 0.895071i | \(-0.352875\pi\) |
−0.895071 | + | 0.445923i | \(0.852875\pi\) | |||||||
\(884\) | −0.274336 | + | 0.0205586i | −0.00922691 | + | 0.000691461i | ||||
\(885\) | −0.729062 | − | 8.33104i | −0.0245072 | − | 0.280045i | ||||
\(886\) | −29.9745 | + | 4.51793i | −1.00701 | + | 0.151783i | ||||
\(887\) | 8.00809 | + | 0.299642i | 0.268885 | + | 0.0100610i | 0.171494 | − | 0.985185i | \(-0.445141\pi\) |
0.0973914 | + | 0.995246i | \(0.468950\pi\) | |||||||
\(888\) | −11.6850 | − | 18.5966i | −0.392123 | − | 0.624060i | ||||
\(889\) | 2.28554 | + | 44.6838i | 0.0766546 | + | 1.49865i | ||||
\(890\) | 41.2732 | − | 28.9012i | 1.38348 | − | 0.968770i | ||||
\(891\) | 82.2610 | + | 56.0846i | 2.75585 | + | 1.87890i | ||||
\(892\) | −0.104773 | − | 2.80013i | −0.00350807 | − | 0.0937552i | ||||
\(893\) | 12.0187 | + | 2.27406i | 0.402190 | + | 0.0760984i | ||||
\(894\) | 90.2490 | + | 13.6028i | 3.01838 | + | 0.454947i | ||||
\(895\) | 21.8600 | + | 24.7692i | 0.730698 | + | 0.827943i | ||||
\(896\) | −10.5061 | + | 31.3984i | −0.350983 | + | 1.04895i | ||||
\(897\) | −3.04356 | + | 8.69799i | −0.101621 | + | 0.290417i | ||||
\(898\) | 22.3176 | + | 11.7952i | 0.744746 | + | 0.393610i | ||||
\(899\) | −5.62394 | − | 14.3296i | −0.187569 | − | 0.477918i | ||||
\(900\) | −6.38004 | + | 1.62487i | −0.212668 | + | 0.0541622i | ||||
\(901\) | 4.95133 | − | 2.85865i | 0.164953 | − | 0.0952354i | ||||
\(902\) | −8.39803 | + | 0.946231i | −0.279624 | + | 0.0315060i | ||||
\(903\) | −6.66924 | + | 10.0759i | −0.221938 | + | 0.335306i | ||||
\(904\) | −22.0978 | + | 17.6224i | −0.734961 | + | 0.586112i | ||||
\(905\) | −29.5354 | + | 30.2825i | −0.981790 | + | 1.00663i | ||||
\(906\) | 21.5030 | + | 1.61143i | 0.714389 | + | 0.0535361i | ||||
\(907\) | −0.389283 | − | 0.452356i | −0.0129259 | − | 0.0150202i | 0.751472 | − | 0.659766i | \(-0.229344\pi\) |
−0.764397 | + | 0.644745i | \(0.776963\pi\) | |||||||
\(908\) | −0.244509 | − | 0.560421i | −0.00811433 | − | 0.0185982i | ||||
\(909\) | 23.4347 | + | 29.3862i | 0.777281 | + | 0.974679i | ||||
\(910\) | 1.85298 | − | 21.4917i | 0.0614256 | − | 0.712442i | ||||
\(911\) | −1.70772 | + | 2.14142i | −0.0565794 | + | 0.0709483i | −0.809316 | − | 0.587374i | \(-0.800162\pi\) |
0.752737 | + | 0.658322i | \(0.228733\pi\) | |||||||
\(912\) | 73.1519 | + | 19.6010i | 2.42230 | + | 0.649054i | ||||
\(913\) | 5.10559 | + | 19.0543i | 0.168970 | + | 0.630606i | ||||
\(914\) | −35.5843 | + | 13.9658i | −1.17703 | + | 0.461948i | ||||
\(915\) | 33.1362 | − | 27.1091i | 1.09545 | − | 0.896200i | ||||
\(916\) | 0.354431 | + | 0.735983i | 0.0117107 | + | 0.0243176i | ||||
\(917\) | −8.95367 | − | 36.8907i | −0.295676 | − | 1.21824i | ||||
\(918\) | 5.30686 | + | 15.1661i | 0.175153 | + | 0.500557i | ||||
\(919\) | −1.95729 | + | 12.9858i | −0.0645652 | + | 0.428362i | 0.933074 | + | 0.359685i | \(0.117116\pi\) |
−0.997639 | + | 0.0686769i | \(0.978122\pi\) | |||||||
\(920\) | 6.65430 | − | 1.34535i | 0.219386 | − | 0.0443550i | ||||
\(921\) | 13.2692 | + | 12.3120i | 0.437235 | + | 0.405695i | ||||
\(922\) | −8.12007 | − | 42.9156i | −0.267420 | − | 1.41335i | ||||
\(923\) | −21.5633 | − | 13.5491i | −0.709764 | − | 0.445974i | ||||
\(924\) | −4.41989 | − | 1.85670i | −0.145404 | − | 0.0610809i | ||||
\(925\) | 2.88656 | − | 11.9601i | 0.0949094 | − | 0.393244i | ||||
\(926\) | 16.9317 | − | 15.7103i | 0.556410 | − | 0.516273i | ||||
\(927\) | −124.560 | − | 91.9294i | −4.09108 | − | 3.01936i | ||||
\(928\) | −3.59120 | − | 6.79488i | −0.117887 | − | 0.223053i | ||||
\(929\) | −1.32474 | − | 17.6774i | −0.0434633 | − | 0.579977i | −0.975840 | − | 0.218488i | \(-0.929888\pi\) |
0.932376 | − | 0.361489i | \(-0.117731\pi\) | |||||||
\(930\) | −7.92753 | + | 18.8075i | −0.259954 | + | 0.616723i | ||||
\(931\) | −14.5523 | − | 34.2848i | −0.476934 | − | 1.12364i | ||||
\(932\) | 0.140160 | − | 0.140160i | 0.00459111 | − | 0.00459111i | ||||
\(933\) | 18.9167 | − | 21.9816i | 0.619304 | − | 0.719644i | ||||
\(934\) | −7.45424 | − | 2.29933i | −0.243910 | − | 0.0752363i | ||||
\(935\) | 4.24721 | − | 2.52337i | 0.138899 | − | 0.0825231i | ||||
\(936\) | 36.0904 | + | 38.8961i | 1.17965 | + | 1.27136i | ||||
\(937\) | 28.9766 | − | 18.2072i | 0.946624 | − | 0.594803i | 0.0321653 | − | 0.999483i | \(-0.489760\pi\) |
0.914459 | + | 0.404679i | \(0.132617\pi\) | |||||||
\(938\) | −19.8371 | + | 35.4729i | −0.647705 | + | 1.15823i | ||||
\(939\) | 31.3447 | − | 7.15421i | 1.02289 | − | 0.233469i | ||||
\(940\) | −0.179426 | + | 0.833995i | −0.00585223 | + | 0.0272019i | ||||
\(941\) | −26.4465 | + | 28.5026i | −0.862131 | + | 0.929157i | −0.998104 | − | 0.0615560i | \(-0.980394\pi\) |
0.135972 | + | 0.990713i | \(0.456584\pi\) | |||||||
\(942\) | −0.891669 | + | 4.71258i | −0.0290521 | + | 0.153544i | ||||
\(943\) | −1.57392 | + | 1.16161i | −0.0512539 | + | 0.0378271i | ||||
\(944\) | −4.38623 | − | 2.11230i | −0.142760 | − | 0.0687494i | ||||
\(945\) | −95.0442 | + | 16.8824i | −3.09179 | + | 0.549186i | ||||
\(946\) | 6.04697 | − | 2.91207i | 0.196604 | − | 0.0946795i | ||||
\(947\) | 6.78989 | − | 12.8471i | 0.220642 | − | 0.417474i | −0.748800 | − | 0.662796i | \(-0.769370\pi\) |
0.969442 | + | 0.245322i | \(0.0788935\pi\) | |||||||
\(948\) | −0.968941 | − | 0.422745i | −0.0314697 | − | 0.0137301i | ||||
\(949\) | −4.61023 | − | 2.66172i | −0.149654 | − | 0.0864029i | ||||
\(950\) | 19.1540 | + | 34.1483i | 0.621438 | + | 1.10792i | ||||
\(951\) | 42.8628 | + | 34.1819i | 1.38992 | + | 1.10842i | ||||
\(952\) | 2.44567 | + | 4.10505i | 0.0792646 | + | 0.133046i | ||||
\(953\) | −4.00046 | + | 35.5050i | −0.129587 | + | 1.15012i | 0.745619 | + | 0.666372i | \(0.232154\pi\) |
−0.875207 | + | 0.483749i | \(0.839275\pi\) | |||||||
\(954\) | 92.8812 | + | 36.4532i | 3.00714 | + | 1.18022i | ||||
\(955\) | −42.6776 | − | 21.8783i | −1.38101 | − | 0.707965i | ||||
\(956\) | 0.0661656 | − | 0.882919i | 0.00213995 | − | 0.0285556i | ||||
\(957\) | −82.1368 | + | 35.8359i | −2.65510 | + | 1.15841i | ||||
\(958\) | −30.2246 | − | 3.40550i | −0.976513 | − | 0.110027i | ||||
\(959\) | −7.01789 | − | 0.166322i | −0.226620 | − | 0.00537080i | ||||
\(960\) | 15.1194 | − | 51.2811i | 0.487976 | − | 1.65509i | ||||
\(961\) | −13.7411 | − | 23.8003i | −0.443261 | − | 0.767751i | ||||
\(962\) | 8.66654 | − | 2.32219i | 0.279420 | − | 0.0748705i | ||||
\(963\) | −13.1179 | + | 30.0666i | −0.422719 | + | 0.968882i | ||||
\(964\) | 1.41833 | − | 0.437497i | 0.0456813 | − | 0.0140908i | ||||
\(965\) | −17.6778 | + | 19.5359i | −0.569068 | + | 0.628883i | ||||
\(966\) | −14.3682 | + | 1.81864i | −0.462289 | + | 0.0585138i | ||||
\(967\) | −10.2202 | + | 3.57620i | −0.328659 | + | 0.115003i | −0.489565 | − | 0.871967i | \(-0.662844\pi\) |
0.160906 | + | 0.986970i | \(0.448559\pi\) | |||||||
\(968\) | 0.155716 | + | 0.210988i | 0.00500490 | + | 0.00678140i | ||||
\(969\) | 9.72688 | − | 6.63168i | 0.312472 | − | 0.213040i | ||||
\(970\) | −38.7028 | + | 17.4644i | −1.24267 | + | 0.560749i | ||||
\(971\) | 25.8625 | − | 37.9334i | 0.829968 | − | 1.21734i | −0.143757 | − | 0.989613i | \(-0.545918\pi\) |
0.973725 | − | 0.227727i | \(-0.0731294\pi\) | |||||||
\(972\) | −4.48120 | + | 7.13178i | −0.143734 | + | 0.228752i | ||||
\(973\) | 7.51897 | + | 45.6327i | 0.241047 | + | 1.46292i | ||||
\(974\) | 16.6140 | + | 3.79204i | 0.532348 | + | 0.121505i | ||||
\(975\) | −2.03997 | + | 40.9119i | −0.0653312 | + | 1.31023i | ||||
\(976\) | −3.71455 | − | 24.6444i | −0.118900 | − | 0.788848i | ||||
\(977\) | −18.9158 | + | 9.99730i | −0.605171 | + | 0.319842i | −0.741636 | − | 0.670803i | \(-0.765950\pi\) |
0.136465 | + | 0.990645i | \(0.456426\pi\) | |||||||
\(978\) | −55.8669 | − | 48.0774i | −1.78643 | − | 1.53734i | ||||
\(979\) | −50.5558 | −1.61577 | ||||||||
\(980\) | 2.41563 | − | 0.955036i | 0.0771643 | − | 0.0305075i | ||||
\(981\) | −2.40986 | −0.0769408 | ||||||||
\(982\) | 20.7541 | + | 17.8603i | 0.662290 | + | 0.569947i | ||||
\(983\) | 25.7372 | − | 13.6025i | 0.820889 | − | 0.433852i | −0.00341907 | − | 0.999994i | \(-0.501088\pi\) |
0.824308 | + | 0.566142i | \(0.191565\pi\) | |||||||
\(984\) | 2.31348 | + | 15.3489i | 0.0737510 | + | 0.489306i | ||||
\(985\) | −31.1979 | − | 14.5470i | −0.994048 | − | 0.463505i | ||||
\(986\) | −7.87951 | − | 1.79845i | −0.250935 | − | 0.0572742i | ||||
\(987\) | −5.66435 | + | 19.2985i | −0.180298 | + | 0.614277i | ||||
\(988\) | −1.16390 | + | 1.85234i | −0.0370286 | + | 0.0589307i | ||||
\(989\) | 0.875126 | − | 1.28357i | 0.0278274 | − | 0.0408153i | ||||
\(990\) | 80.6449 | + | 30.4941i | 2.56306 | + | 0.969165i | ||||
\(991\) | 30.1950 | − | 20.5866i | 0.959176 | − | 0.653955i | 0.0208773 | − | 0.999782i | \(-0.493354\pi\) |
0.938298 | + | 0.345827i | \(0.112402\pi\) | |||||||
\(992\) | 1.04293 | + | 1.41312i | 0.0331131 | + | 0.0448667i | ||||
\(993\) | −32.9808 | + | 11.5405i | −1.04661 | + | 0.366226i | ||||
\(994\) | 3.93585 | − | 39.8305i | 0.124837 | − | 1.26335i | ||||
\(995\) | −1.25598 | − | 25.1544i | −0.0398171 | − | 0.797449i | ||||
\(996\) | −3.13275 | + | 0.966324i | −0.0992649 | + | 0.0306192i | ||||
\(997\) | 21.0940 | − | 48.3479i | 0.668052 | − | 1.53119i | −0.169907 | − | 0.985460i | \(-0.554347\pi\) |
0.837959 | − | 0.545732i | \(-0.183749\pi\) | |||||||
\(998\) | 60.5383 | − | 16.2212i | 1.91630 | − | 0.513472i | ||||
\(999\) | −20.0754 | − | 34.7717i | −0.635158 | − | 1.10013i |
(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 | 245.2.x.a.213.20 | yes | 624 | |
5.2 | odd | 4 | inner | 245.2.x.a.17.7 | ✓ | 624 | |
49.26 | odd | 42 | inner | 245.2.x.a.173.7 | yes | 624 | |
245.222 | even | 84 | inner | 245.2.x.a.222.20 | yes | 624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.x.a.17.7 | ✓ | 624 | 5.2 | odd | 4 | inner | |
245.2.x.a.173.7 | yes | 624 | 49.26 | odd | 42 | inner | |
245.2.x.a.213.20 | yes | 624 | 1.1 | even | 1 | trivial | |
245.2.x.a.222.20 | yes | 624 | 245.222 | even | 84 | inner |