Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.7 |
Dual form | 74.2.f.a.53.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −0.326352 | − | 0.118782i | −0.188419 | − | 0.0685790i | 0.246087 | − | 0.969248i | \(-0.420855\pi\) |
−0.434507 | + | 0.900669i | \(0.643077\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.0209445 | − | 0.118782i | −0.00936668 | − | 0.0531211i | 0.979766 | − | 0.200146i | \(-0.0641415\pi\) |
−0.989133 | + | 0.147024i | \(0.953030\pi\) | |||||||
\(6\) | −0.347296 | −0.141783 | ||||||||
\(7\) | 0.233956 | + | 1.32683i | 0.0884269 | + | 0.501494i | 0.996564 | + | 0.0828217i | \(0.0263932\pi\) |
−0.908137 | + | 0.418672i | \(0.862496\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −2.20574 | − | 1.85083i | −0.735246 | − | 0.616944i | ||||
\(10\) | −0.0603074 | − | 0.104455i | −0.0190709 | − | 0.0330317i | ||||
\(11\) | −2.26604 | + | 3.92490i | −0.683238 | + | 1.18340i | 0.290749 | + | 0.956799i | \(0.406096\pi\) |
−0.973987 | + | 0.226604i | \(0.927238\pi\) | |||||||
\(12\) | −0.326352 | + | 0.118782i | −0.0942097 | + | 0.0342895i | ||||
\(13\) | −0.592396 | + | 0.497079i | −0.164301 | + | 0.137865i | −0.721231 | − | 0.692694i | \(-0.756424\pi\) |
0.556930 | + | 0.830559i | \(0.311979\pi\) | |||||||
\(14\) | 0.673648 | + | 1.16679i | 0.180040 | + | 0.311839i | ||||
\(15\) | −0.00727396 | + | 0.0412527i | −0.00187813 | + | 0.0106514i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −2.29813 | − | 1.92836i | −0.557379 | − | 0.467697i | 0.320051 | − | 0.947400i | \(-0.396300\pi\) |
−0.877431 | + | 0.479703i | \(0.840744\pi\) | |||||||
\(18\) | −2.70574 | − | 0.984808i | −0.637748 | − | 0.232121i | ||||
\(19\) | 1.91875 | + | 0.698367i | 0.440191 | + | 0.160216i | 0.552602 | − | 0.833445i | \(-0.313635\pi\) |
−0.112411 | + | 0.993662i | \(0.535857\pi\) | |||||||
\(20\) | −0.0923963 | − | 0.0775297i | −0.0206604 | − | 0.0173362i | ||||
\(21\) | 0.0812519 | − | 0.460802i | 0.0177306 | − | 0.100555i | ||||
\(22\) | −0.786989 | + | 4.46324i | −0.167787 | + | 0.951565i | ||||
\(23\) | −0.0282185 | − | 0.0488759i | −0.00588396 | − | 0.0101913i | 0.863068 | − | 0.505087i | \(-0.168540\pi\) |
−0.868952 | + | 0.494896i | \(0.835206\pi\) | |||||||
\(24\) | −0.266044 | + | 0.223238i | −0.0543061 | + | 0.0455682i | ||||
\(25\) | 4.68479 | − | 1.70513i | 0.936959 | − | 0.341025i | ||||
\(26\) | −0.386659 | + | 0.669713i | −0.0758301 | + | 0.131342i | ||||
\(27\) | 1.02094 | + | 1.76833i | 0.196481 | + | 0.340315i | ||||
\(28\) | 1.03209 | + | 0.866025i | 0.195046 | + | 0.163663i | ||||
\(29\) | 2.89053 | − | 5.00654i | 0.536758 | − | 0.929692i | −0.462318 | − | 0.886714i | \(-0.652982\pi\) |
0.999076 | − | 0.0429778i | \(-0.0136845\pi\) | |||||||
\(30\) | 0.00727396 | + | 0.0412527i | 0.00132804 | + | 0.00753167i | ||||
\(31\) | −3.34730 | −0.601192 | −0.300596 | − | 0.953752i | \(-0.597186\pi\) | ||||
−0.300596 | + | 0.953752i | \(0.597186\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 1.20574 | − | 1.01173i | 0.209892 | − | 0.176120i | ||||
\(34\) | −2.81908 | − | 1.02606i | −0.483468 | − | 0.175968i | ||||
\(35\) | 0.152704 | − | 0.0555796i | 0.0258116 | − | 0.00939466i | ||||
\(36\) | −2.87939 | −0.479898 | ||||||||
\(37\) | 5.60607 | − | 2.36051i | 0.921632 | − | 0.388066i | ||||
\(38\) | 2.04189 | 0.331238 | ||||||||
\(39\) | 0.252374 | − | 0.0918566i | 0.0404122 | − | 0.0147088i | ||||
\(40\) | −0.113341 | − | 0.0412527i | −0.0179208 | − | 0.00652262i | ||||
\(41\) | −5.47565 | + | 4.59462i | −0.855153 | + | 0.717559i | −0.960918 | − | 0.276832i | \(-0.910715\pi\) |
0.105765 | + | 0.994391i | \(0.466271\pi\) | |||||||
\(42\) | −0.0812519 | − | 0.460802i | −0.0125374 | − | 0.0711034i | ||||
\(43\) | 9.31315 | 1.42024 | 0.710121 | − | 0.704080i | \(-0.248640\pi\) | ||||
0.710121 | + | 0.704080i | \(0.248640\pi\) | |||||||
\(44\) | 0.786989 | + | 4.46324i | 0.118643 | + | 0.672858i | ||||
\(45\) | −0.173648 | + | 0.300767i | −0.0258859 | + | 0.0448358i | ||||
\(46\) | −0.0432332 | − | 0.0362770i | −0.00637439 | − | 0.00534875i | ||||
\(47\) | −4.25877 | − | 7.37641i | −0.621206 | − | 1.07596i | −0.989262 | − | 0.146156i | \(-0.953310\pi\) |
0.368056 | − | 0.929804i | \(-0.380023\pi\) | |||||||
\(48\) | −0.173648 | + | 0.300767i | −0.0250640 | + | 0.0434120i | ||||
\(49\) | 4.87211 | − | 1.77330i | 0.696016 | − | 0.253329i | ||||
\(50\) | 3.81908 | − | 3.20459i | 0.540099 | − | 0.453197i | ||||
\(51\) | 0.520945 | + | 0.902302i | 0.0729468 | + | 0.126348i | ||||
\(52\) | −0.134285 | + | 0.761570i | −0.0186220 | + | 0.105611i | ||||
\(53\) | 0.482926 | − | 2.73881i | 0.0663350 | − | 0.376204i | −0.933509 | − | 0.358553i | \(-0.883270\pi\) |
0.999844 | − | 0.0176510i | \(-0.00561877\pi\) | |||||||
\(54\) | 1.56418 | + | 1.31250i | 0.212858 | + | 0.178609i | ||||
\(55\) | 0.513671 | + | 0.186961i | 0.0692633 | + | 0.0252098i | ||||
\(56\) | 1.26604 | + | 0.460802i | 0.169182 | + | 0.0615773i | ||||
\(57\) | −0.543233 | − | 0.455827i | −0.0719530 | − | 0.0603757i | ||||
\(58\) | 1.00387 | − | 5.69323i | 0.131815 | − | 0.747558i | ||||
\(59\) | −2.25624 | + | 12.7958i | −0.293738 | + | 1.66587i | 0.378550 | + | 0.925581i | \(0.376423\pi\) |
−0.672288 | + | 0.740290i | \(0.734688\pi\) | |||||||
\(60\) | 0.0209445 | + | 0.0362770i | 0.00270393 | + | 0.00468334i | ||||
\(61\) | −8.82295 | + | 7.40333i | −1.12966 | + | 0.947900i | −0.999052 | − | 0.0435341i | \(-0.986138\pi\) |
−0.130611 | + | 0.991434i | \(0.541694\pi\) | |||||||
\(62\) | −3.14543 | + | 1.14484i | −0.399470 | + | 0.145395i | ||||
\(63\) | 1.93969 | − | 3.35965i | 0.244378 | − | 0.423276i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.0714517 | + | 0.0599551i | 0.00886250 | + | 0.00743652i | ||||
\(66\) | 0.786989 | − | 1.36310i | 0.0968716 | − | 0.167787i | ||||
\(67\) | 0.889185 | + | 5.04282i | 0.108631 | + | 0.616079i | 0.989708 | + | 0.143104i | \(0.0457085\pi\) |
−0.881076 | + | 0.472974i | \(0.843180\pi\) | |||||||
\(68\) | −3.00000 | −0.363803 | ||||||||
\(69\) | 0.00340357 | + | 0.0193026i | 0.000409741 | + | 0.00232376i | ||||
\(70\) | 0.124485 | − | 0.104455i | 0.0148788 | − | 0.0124848i | ||||
\(71\) | −12.6236 | − | 4.59462i | −1.49815 | − | 0.545281i | −0.542567 | − | 0.840013i | \(-0.682547\pi\) |
−0.955580 | + | 0.294732i | \(0.904770\pi\) | |||||||
\(72\) | −2.70574 | + | 0.984808i | −0.318874 | + | 0.116061i | ||||
\(73\) | −8.71688 | −1.02023 | −0.510117 | − | 0.860105i | \(-0.670398\pi\) | ||||
−0.510117 | + | 0.860105i | \(0.670398\pi\) | |||||||
\(74\) | 4.46064 | − | 4.13554i | 0.518539 | − | 0.480747i | ||||
\(75\) | −1.73143 | −0.199928 | ||||||||
\(76\) | 1.91875 | − | 0.698367i | 0.220096 | − | 0.0801082i | ||||
\(77\) | −5.73783 | − | 2.08840i | −0.653886 | − | 0.237995i | ||||
\(78\) | 0.205737 | − | 0.172634i | 0.0232951 | − | 0.0195469i | ||||
\(79\) | 0.720285 | + | 4.08494i | 0.0810384 | + | 0.459592i | 0.998141 | + | 0.0609412i | \(0.0194102\pi\) |
−0.917103 | + | 0.398650i | \(0.869479\pi\) | |||||||
\(80\) | −0.120615 | −0.0134851 | ||||||||
\(81\) | 1.37686 | + | 7.80856i | 0.152984 | + | 0.867617i | ||||
\(82\) | −3.57398 | + | 6.19031i | −0.394680 | + | 0.683606i | ||||
\(83\) | −4.53596 | − | 3.80612i | −0.497886 | − | 0.417776i | 0.358956 | − | 0.933354i | \(-0.383133\pi\) |
−0.856843 | + | 0.515578i | \(0.827577\pi\) | |||||||
\(84\) | −0.233956 | − | 0.405223i | −0.0255266 | − | 0.0442134i | ||||
\(85\) | −0.180922 | + | 0.313366i | −0.0196238 | + | 0.0339894i | ||||
\(86\) | 8.75150 | − | 3.18528i | 0.943698 | − | 0.343478i | ||||
\(87\) | −1.53802 | + | 1.29055i | −0.164893 | + | 0.138362i | ||||
\(88\) | 2.26604 | + | 3.92490i | 0.241561 | + | 0.418396i | ||||
\(89\) | 1.32295 | − | 7.50281i | 0.140232 | − | 0.795297i | −0.830840 | − | 0.556511i | \(-0.812140\pi\) |
0.971072 | − | 0.238785i | \(-0.0767492\pi\) | |||||||
\(90\) | −0.0603074 | + | 0.342020i | −0.00635696 | + | 0.0360521i | ||||
\(91\) | −0.798133 | − | 0.669713i | −0.0836671 | − | 0.0702050i | ||||
\(92\) | −0.0530334 | − | 0.0193026i | −0.00552912 | − | 0.00201243i | ||||
\(93\) | 1.09240 | + | 0.397600i | 0.113276 | + | 0.0412292i | ||||
\(94\) | −6.52481 | − | 5.47497i | −0.672983 | − | 0.564700i | ||||
\(95\) | 0.0427664 | − | 0.242540i | 0.00438774 | − | 0.0248841i | ||||
\(96\) | −0.0603074 | + | 0.342020i | −0.00615510 | + | 0.0349073i | ||||
\(97\) | 5.12061 | + | 8.86916i | 0.519920 | + | 0.900527i | 0.999732 | + | 0.0231560i | \(0.00737146\pi\) |
−0.479812 | + | 0.877371i | \(0.659295\pi\) | |||||||
\(98\) | 3.97178 | − | 3.33272i | 0.401211 | − | 0.336656i | ||||
\(99\) | 12.2626 | − | 4.46324i | 1.23244 | − | 0.448572i | ||||
\(100\) | 2.49273 | − | 4.31753i | 0.249273 | − | 0.431753i | ||||
\(101\) | 8.05690 | + | 13.9550i | 0.801692 | + | 1.38857i | 0.918502 | + | 0.395417i | \(0.129400\pi\) |
−0.116810 | + | 0.993154i | \(0.537267\pi\) | |||||||
\(102\) | 0.798133 | + | 0.669713i | 0.0790270 | + | 0.0663115i | ||||
\(103\) | 9.81567 | − | 17.0012i | 0.967167 | − | 1.67518i | 0.263491 | − | 0.964662i | \(-0.415126\pi\) |
0.703676 | − | 0.710521i | \(-0.251541\pi\) | |||||||
\(104\) | 0.134285 | + | 0.761570i | 0.0131678 | + | 0.0746781i | ||||
\(105\) | −0.0564370 | −0.00550769 | ||||||||
\(106\) | −0.482926 | − | 2.73881i | −0.0469059 | − | 0.266017i | ||||
\(107\) | −0.488856 | + | 0.410199i | −0.0472595 | + | 0.0396554i | −0.666111 | − | 0.745852i | \(-0.732043\pi\) |
0.618852 | + | 0.785508i | \(0.287598\pi\) | |||||||
\(108\) | 1.91875 | + | 0.698367i | 0.184632 | + | 0.0672004i | ||||
\(109\) | −6.81908 | + | 2.48194i | −0.653149 | + | 0.237727i | −0.647276 | − | 0.762256i | \(-0.724092\pi\) |
−0.00587340 | + | 0.999983i | \(0.501870\pi\) | |||||||
\(110\) | 0.546637 | 0.0521198 | ||||||||
\(111\) | −2.10994 | + | 0.104455i | −0.200266 | + | 0.00991447i | ||||
\(112\) | 1.34730 | 0.127308 | ||||||||
\(113\) | 12.9893 | − | 4.72773i | 1.22193 | − | 0.444747i | 0.351105 | − | 0.936336i | \(-0.385806\pi\) |
0.870827 | + | 0.491589i | \(0.163584\pi\) | |||||||
\(114\) | −0.666374 | − | 0.242540i | −0.0624117 | − | 0.0227160i | ||||
\(115\) | −0.00521457 | + | 0.00437554i | −0.000486261 | + | 0.000408021i | ||||
\(116\) | −1.00387 | − | 5.69323i | −0.0932070 | − | 0.528603i | ||||
\(117\) | 2.22668 | 0.205857 | ||||||||
\(118\) | 2.25624 | + | 12.7958i | 0.207704 | + | 1.17795i | ||||
\(119\) | 2.02094 | − | 3.50038i | 0.185260 | − | 0.320879i | ||||
\(120\) | 0.0320889 | + | 0.0269258i | 0.00292930 | + | 0.00245798i | ||||
\(121\) | −4.76991 | − | 8.26173i | −0.433629 | − | 0.751067i | ||||
\(122\) | −5.75877 | + | 9.97448i | −0.521375 | + | 0.903047i | ||||
\(123\) | 2.33275 | − | 0.849051i | 0.210337 | − | 0.0765564i | ||||
\(124\) | −2.56418 | + | 2.15160i | −0.230270 | + | 0.193219i | ||||
\(125\) | −0.602196 | − | 1.04303i | −0.0538621 | − | 0.0932919i | ||||
\(126\) | 0.673648 | − | 3.82045i | 0.0600133 | − | 0.340353i | ||||
\(127\) | 2.10354 | − | 11.9298i | 0.186659 | − | 1.05860i | −0.737146 | − | 0.675733i | \(-0.763827\pi\) |
0.923805 | − | 0.382863i | \(-0.125062\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −3.03936 | − | 1.10624i | −0.267601 | − | 0.0973988i | ||||
\(130\) | 0.0876485 | + | 0.0319015i | 0.00768728 | + | 0.00279794i | ||||
\(131\) | 16.5817 | + | 13.9137i | 1.44875 | + | 1.21565i | 0.933485 | + | 0.358617i | \(0.116752\pi\) |
0.515267 | + | 0.857030i | \(0.327693\pi\) | |||||||
\(132\) | 0.273318 | − | 1.55007i | 0.0237893 | − | 0.134916i | ||||
\(133\) | −0.477711 | + | 2.70924i | −0.0414228 | + | 0.234921i | ||||
\(134\) | 2.56031 | + | 4.43458i | 0.221177 | + | 0.383090i | ||||
\(135\) | 0.188663 | − | 0.158307i | 0.0162375 | − | 0.0136249i | ||||
\(136\) | −2.81908 | + | 1.02606i | −0.241734 | + | 0.0879840i | ||||
\(137\) | −4.31908 | + | 7.48086i | −0.369004 | + | 0.639133i | −0.989410 | − | 0.145147i | \(-0.953634\pi\) |
0.620406 | + | 0.784281i | \(0.286968\pi\) | |||||||
\(138\) | 0.00980018 | + | 0.0169744i | 0.000834247 | + | 0.00144496i | ||||
\(139\) | −10.2686 | − | 8.61635i | −0.870969 | − | 0.730830i | 0.0933331 | − | 0.995635i | \(-0.470248\pi\) |
−0.964302 | + | 0.264805i | \(0.914692\pi\) | |||||||
\(140\) | 0.0812519 | − | 0.140732i | 0.00686704 | − | 0.0118941i | ||||
\(141\) | 0.513671 | + | 2.91317i | 0.0432589 | + | 0.245333i | ||||
\(142\) | −13.4338 | −1.12734 | ||||||||
\(143\) | −0.608593 | − | 3.45150i | −0.0508931 | − | 0.288629i | ||||
\(144\) | −2.20574 | + | 1.85083i | −0.183811 | + | 0.154236i | ||||
\(145\) | −0.655230 | − | 0.238484i | −0.0544139 | − | 0.0198050i | ||||
\(146\) | −8.19119 | + | 2.98135i | −0.677908 | + | 0.246738i | ||||
\(147\) | −1.80066 | −0.148516 | ||||||||
\(148\) | 2.77719 | − | 5.41177i | 0.228284 | − | 0.444845i | ||||
\(149\) | 4.39693 | 0.360210 | 0.180105 | − | 0.983647i | \(-0.442356\pi\) | ||||
0.180105 | + | 0.983647i | \(0.442356\pi\) | |||||||
\(150\) | −1.62701 | + | 0.592184i | −0.132845 | + | 0.0483516i | ||||
\(151\) | −13.8550 | − | 5.04282i | −1.12751 | − | 0.410379i | −0.290120 | − | 0.956990i | \(-0.593695\pi\) |
−0.837387 | + | 0.546611i | \(0.815918\pi\) | |||||||
\(152\) | 1.56418 | − | 1.31250i | 0.126872 | − | 0.106458i | ||||
\(153\) | 1.50000 | + | 8.50692i | 0.121268 | + | 0.687744i | ||||
\(154\) | −6.10607 | −0.492041 | ||||||||
\(155\) | 0.0701076 | + | 0.397600i | 0.00563117 | + | 0.0319360i | ||||
\(156\) | 0.134285 | − | 0.232589i | 0.0107514 | − | 0.0186220i | ||||
\(157\) | −11.9907 | − | 10.0614i | −0.956959 | − | 0.802984i | 0.0234964 | − | 0.999724i | \(-0.492520\pi\) |
−0.980456 | + | 0.196740i | \(0.936965\pi\) | |||||||
\(158\) | 2.07398 | + | 3.59224i | 0.164997 | + | 0.285783i | ||||
\(159\) | −0.482926 | + | 0.836452i | −0.0382985 | + | 0.0663350i | ||||
\(160\) | −0.113341 | + | 0.0412527i | −0.00896038 | + | 0.00326131i | ||||
\(161\) | 0.0582480 | − | 0.0488759i | 0.00459058 | − | 0.00385196i | ||||
\(162\) | 3.96451 | + | 6.86673i | 0.311481 | + | 0.539501i | ||||
\(163\) | −0.830222 | + | 4.70842i | −0.0650280 | + | 0.368792i | 0.934876 | + | 0.354973i | \(0.115510\pi\) |
−0.999905 | + | 0.0138191i | \(0.995601\pi\) | |||||||
\(164\) | −1.24123 | + | 7.03936i | −0.0969237 | + | 0.549682i | ||||
\(165\) | −0.145430 | − | 0.122030i | −0.0113217 | − | 0.00950002i | ||||
\(166\) | −5.56418 | − | 2.02520i | −0.431864 | − | 0.157186i | ||||
\(167\) | −1.88413 | − | 0.685768i | −0.145799 | − | 0.0530663i | 0.268090 | − | 0.963394i | \(-0.413608\pi\) |
−0.413889 | + | 0.910327i | \(0.635830\pi\) | |||||||
\(168\) | −0.358441 | − | 0.300767i | −0.0276543 | − | 0.0232047i | ||||
\(169\) | −2.15358 | + | 12.2136i | −0.165660 | + | 0.939505i | ||||
\(170\) | −0.0628336 | + | 0.356347i | −0.00481912 | + | 0.0273306i | ||||
\(171\) | −2.93969 | − | 5.09170i | −0.224804 | − | 0.389372i | ||||
\(172\) | 7.13429 | − | 5.98638i | 0.543984 | − | 0.456457i | ||||
\(173\) | 12.9500 | − | 4.71340i | 0.984567 | − | 0.358353i | 0.200953 | − | 0.979601i | \(-0.435596\pi\) |
0.783614 | + | 0.621248i | \(0.213374\pi\) | |||||||
\(174\) | −1.00387 | + | 1.73875i | −0.0761032 | + | 0.131815i | ||||
\(175\) | 3.35844 | + | 5.81699i | 0.253874 | + | 0.439723i | ||||
\(176\) | 3.47178 | + | 2.91317i | 0.261695 | + | 0.219588i | ||||
\(177\) | 2.25624 | − | 3.90793i | 0.169590 | − | 0.293738i | ||||
\(178\) | −1.32295 | − | 7.50281i | −0.0991592 | − | 0.562360i | ||||
\(179\) | −14.7246 | −1.10057 | −0.550285 | − | 0.834977i | \(-0.685481\pi\) | ||||
−0.550285 | + | 0.834977i | \(0.685481\pi\) | |||||||
\(180\) | 0.0603074 | + | 0.342020i | 0.00449505 | + | 0.0254927i | ||||
\(181\) | −8.34911 | + | 7.00573i | −0.620584 | + | 0.520732i | −0.897987 | − | 0.440022i | \(-0.854971\pi\) |
0.277403 | + | 0.960754i | \(0.410526\pi\) | |||||||
\(182\) | −0.979055 | − | 0.356347i | −0.0725724 | − | 0.0264142i | ||||
\(183\) | 3.75877 | − | 1.36808i | 0.277856 | − | 0.101131i | ||||
\(184\) | −0.0564370 | −0.00416059 | ||||||||
\(185\) | −0.397804 | − | 0.616462i | −0.0292471 | − | 0.0453232i | ||||
\(186\) | 1.16250 | 0.0852389 | ||||||||
\(187\) | 12.7763 | − | 4.65020i | 0.934296 | − | 0.340056i | ||||
\(188\) | −8.00387 | − | 2.91317i | −0.583742 | − | 0.212465i | ||||
\(189\) | −2.10741 | + | 1.76833i | −0.153292 | + | 0.128627i | ||||
\(190\) | −0.0427664 | − | 0.242540i | −0.00310260 | − | 0.0175957i | ||||
\(191\) | 9.05737 | 0.655368 | 0.327684 | − | 0.944787i | \(-0.393732\pi\) | ||||
0.327684 | + | 0.944787i | \(0.393732\pi\) | |||||||
\(192\) | 0.0603074 | + | 0.342020i | 0.00435231 | + | 0.0246832i | ||||
\(193\) | −6.29473 | + | 10.9028i | −0.453105 | + | 0.784800i | −0.998577 | − | 0.0533286i | \(-0.983017\pi\) |
0.545472 | + | 0.838129i | \(0.316350\pi\) | |||||||
\(194\) | 7.84524 | + | 6.58294i | 0.563255 | + | 0.472627i | ||||
\(195\) | −0.0161968 | − | 0.0280537i | −0.00115988 | − | 0.00200896i | ||||
\(196\) | 2.59240 | − | 4.49016i | 0.185171 | − | 0.320726i | ||||
\(197\) | 11.2169 | − | 4.08261i | 0.799170 | − | 0.290874i | 0.0900273 | − | 0.995939i | \(-0.471305\pi\) |
0.709142 | + | 0.705065i | \(0.249082\pi\) | |||||||
\(198\) | 9.99660 | − | 8.38814i | 0.710427 | − | 0.596119i | ||||
\(199\) | −1.14543 | − | 1.98394i | −0.0811974 | − | 0.140638i | 0.822567 | − | 0.568668i | \(-0.192541\pi\) |
−0.903765 | + | 0.428030i | \(0.859208\pi\) | |||||||
\(200\) | 0.865715 | − | 4.90971i | 0.0612153 | − | 0.347169i | ||||
\(201\) | 0.308811 | − | 1.75135i | 0.0217818 | − | 0.123531i | ||||
\(202\) | 12.3439 | + | 10.3578i | 0.868513 | + | 0.728769i | ||||
\(203\) | 7.31908 | + | 2.66393i | 0.513699 | + | 0.186971i | ||||
\(204\) | 0.979055 | + | 0.356347i | 0.0685476 | + | 0.0249493i | ||||
\(205\) | 0.660444 | + | 0.554179i | 0.0461274 | + | 0.0387055i | ||||
\(206\) | 3.40895 | − | 19.3331i | 0.237513 | − | 1.34700i | ||||
\(207\) | −0.0282185 | + | 0.160035i | −0.00196132 | + | 0.0111232i | ||||
\(208\) | 0.386659 | + | 0.669713i | 0.0268100 | + | 0.0464363i | ||||
\(209\) | −7.08899 | + | 5.94837i | −0.490356 | + | 0.411457i | ||||
\(210\) | −0.0530334 | + | 0.0193026i | −0.00365965 | + | 0.00133200i | ||||
\(211\) | −0.477711 | + | 0.827420i | −0.0328870 | + | 0.0569620i | −0.882000 | − | 0.471249i | \(-0.843803\pi\) |
0.849113 | + | 0.528211i | \(0.177137\pi\) | |||||||
\(212\) | −1.39053 | − | 2.40847i | −0.0955020 | − | 0.165414i | ||||
\(213\) | 3.57398 | + | 2.99892i | 0.244885 | + | 0.205483i | ||||
\(214\) | −0.319078 | + | 0.552659i | −0.0218117 | + | 0.0377790i | ||||
\(215\) | −0.195060 | − | 1.10624i | −0.0133030 | − | 0.0754448i | ||||
\(216\) | 2.04189 | 0.138933 | ||||||||
\(217\) | −0.783119 | − | 4.44129i | −0.0531616 | − | 0.301494i | ||||
\(218\) | −5.55896 | + | 4.66452i | −0.376500 | + | 0.315921i | ||||
\(219\) | 2.84477 | + | 1.03541i | 0.192232 | + | 0.0699666i | ||||
\(220\) | 0.513671 | − | 0.186961i | 0.0346317 | − | 0.0126049i | ||||
\(221\) | 2.31996 | 0.156057 | ||||||||
\(222\) | −1.94697 | + | 0.819797i | −0.130672 | + | 0.0550212i | ||||
\(223\) | −17.8648 | −1.19632 | −0.598159 | − | 0.801377i | \(-0.704101\pi\) | ||||
−0.598159 | + | 0.801377i | \(0.704101\pi\) | |||||||
\(224\) | 1.26604 | − | 0.460802i | 0.0845912 | − | 0.0307887i | ||||
\(225\) | −13.4893 | − | 4.90971i | −0.899288 | − | 0.327314i | ||||
\(226\) | 10.5890 | − | 8.88522i | 0.704369 | − | 0.591036i | ||||
\(227\) | 1.53684 | + | 8.71583i | 0.102003 | + | 0.578490i | 0.992375 | + | 0.123256i | \(0.0393335\pi\) |
−0.890372 | + | 0.455235i | \(0.849555\pi\) | |||||||
\(228\) | −0.709141 | −0.0469640 | ||||||||
\(229\) | −3.02347 | − | 17.1470i | −0.199797 | − | 1.13310i | −0.905420 | − | 0.424516i | \(-0.860444\pi\) |
0.705624 | − | 0.708587i | \(-0.250667\pi\) | |||||||
\(230\) | −0.00340357 | + | 0.00589515i | −0.000224425 | + | 0.000388715i | ||||
\(231\) | 1.62449 | + | 1.36310i | 0.106883 | + | 0.0896857i | ||||
\(232\) | −2.89053 | − | 5.00654i | −0.189773 | − | 0.328696i | ||||
\(233\) | 2.09627 | − | 3.63084i | 0.137331 | − | 0.237864i | −0.789155 | − | 0.614195i | \(-0.789481\pi\) |
0.926485 | + | 0.376330i | \(0.122814\pi\) | |||||||
\(234\) | 2.09240 | − | 0.761570i | 0.136784 | − | 0.0497854i | ||||
\(235\) | −0.786989 | + | 0.660362i | −0.0513375 | + | 0.0430773i | ||||
\(236\) | 6.49660 | + | 11.2524i | 0.422892 | + | 0.732471i | ||||
\(237\) | 0.250152 | − | 1.41868i | 0.0162491 | − | 0.0921535i | ||||
\(238\) | 0.701867 | − | 3.98048i | 0.0454953 | − | 0.258016i | ||||
\(239\) | 6.57011 | + | 5.51297i | 0.424985 | + | 0.356605i | 0.830056 | − | 0.557681i | \(-0.188309\pi\) |
−0.405071 | + | 0.914285i | \(0.632753\pi\) | |||||||
\(240\) | 0.0393628 | + | 0.0143269i | 0.00254086 | + | 0.000924798i | ||||
\(241\) | 19.6532 | + | 7.15317i | 1.26597 | + | 0.460776i | 0.885769 | − | 0.464127i | \(-0.153632\pi\) |
0.380203 | + | 0.924903i | \(0.375854\pi\) | |||||||
\(242\) | −7.30793 | − | 6.13208i | −0.469772 | − | 0.394185i | ||||
\(243\) | 1.54189 | − | 8.74449i | 0.0989122 | − | 0.560959i | ||||
\(244\) | −2.00000 | + | 11.3426i | −0.128037 | + | 0.726133i | ||||
\(245\) | −0.312681 | − | 0.541580i | −0.0199765 | − | 0.0346003i | ||||
\(246\) | 1.90167 | − | 1.59569i | 0.121246 | − | 0.101738i | ||||
\(247\) | −1.48380 | + | 0.540060i | −0.0944121 | + | 0.0343632i | ||||
\(248\) | −1.67365 | + | 2.89884i | −0.106277 | + | 0.184077i | ||||
\(249\) | 1.02822 | + | 1.78093i | 0.0651607 | + | 0.112862i | ||||
\(250\) | −0.922618 | − | 0.774169i | −0.0583515 | − | 0.0489627i | ||||
\(251\) | −3.39780 | + | 5.88517i | −0.214467 | + | 0.371469i | −0.953108 | − | 0.302631i | \(-0.902135\pi\) |
0.738640 | + | 0.674100i | \(0.235468\pi\) | |||||||
\(252\) | −0.673648 | − | 3.82045i | −0.0424358 | − | 0.240666i | ||||
\(253\) | 0.255777 | 0.0160806 | ||||||||
\(254\) | −2.10354 | − | 11.9298i | −0.131988 | − | 0.748540i | ||||
\(255\) | 0.0962667 | − | 0.0807773i | 0.00602845 | − | 0.00505847i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 9.28611 | − | 3.37987i | 0.579252 | − | 0.210830i | −0.0357438 | − | 0.999361i | \(-0.511380\pi\) |
0.614996 | + | 0.788531i | \(0.289158\pi\) | |||||||
\(258\) | −3.23442 | −0.201366 | ||||||||
\(259\) | 4.44356 | + | 6.88603i | 0.276110 | + | 0.427877i | ||||
\(260\) | 0.0932736 | 0.00578458 | ||||||||
\(261\) | −15.6420 | + | 5.69323i | −0.968217 | + | 0.352402i | ||||
\(262\) | 20.3405 | + | 7.40333i | 1.25664 | + | 0.457379i | ||||
\(263\) | −15.8195 | + | 13.2742i | −0.975475 | + | 0.818521i | −0.983401 | − | 0.181448i | \(-0.941922\pi\) |
0.00792564 | + | 0.999969i | \(0.497477\pi\) | |||||||
\(264\) | −0.273318 | − | 1.55007i | −0.0168216 | − | 0.0953999i | ||||
\(265\) | −0.335437 | −0.0206057 | ||||||||
\(266\) | 0.477711 | + | 2.70924i | 0.0292904 | + | 0.166114i | ||||
\(267\) | −1.32295 | + | 2.29141i | −0.0809631 | + | 0.140232i | ||||
\(268\) | 3.92262 | + | 3.29147i | 0.239612 | + | 0.201058i | ||||
\(269\) | −13.8131 | − | 23.9251i | −0.842203 | − | 1.45874i | −0.888029 | − | 0.459788i | \(-0.847925\pi\) |
0.0458262 | − | 0.998949i | \(-0.485408\pi\) | |||||||
\(270\) | 0.123141 | − | 0.213286i | 0.00749412 | − | 0.0129802i | ||||
\(271\) | −6.42989 | + | 2.34029i | −0.390588 | + | 0.142162i | −0.529846 | − | 0.848094i | \(-0.677750\pi\) |
0.139258 | + | 0.990256i | \(0.455528\pi\) | |||||||
\(272\) | −2.29813 | + | 1.92836i | −0.139345 | + | 0.116924i | ||||
\(273\) | 0.180922 | + | 0.313366i | 0.0109499 | + | 0.0189658i | ||||
\(274\) | −1.50000 | + | 8.50692i | −0.0906183 | + | 0.513922i | ||||
\(275\) | −3.92350 | + | 22.2513i | −0.236596 | + | 1.34180i | ||||
\(276\) | 0.0150147 | + | 0.0125989i | 0.000903782 | + | 0.000758363i | ||||
\(277\) | 22.3957 | + | 8.15138i | 1.34563 | + | 0.489769i | 0.911581 | − | 0.411120i | \(-0.134862\pi\) |
0.434049 | + | 0.900889i | \(0.357085\pi\) | |||||||
\(278\) | −12.5963 | − | 4.58467i | −0.755474 | − | 0.274970i | ||||
\(279\) | 7.38326 | + | 6.19529i | 0.442024 | + | 0.370902i | ||||
\(280\) | 0.0282185 | − | 0.160035i | 0.00168638 | − | 0.00956392i | ||||
\(281\) | 5.51367 | − | 31.2696i | 0.328918 | − | 1.86539i | −0.151657 | − | 0.988433i | \(-0.548461\pi\) |
0.480575 | − | 0.876954i | \(-0.340428\pi\) | |||||||
\(282\) | 1.47906 | + | 2.56180i | 0.0880765 | + | 0.152553i | ||||
\(283\) | −4.52687 | + | 3.79850i | −0.269095 | + | 0.225797i | −0.767343 | − | 0.641237i | \(-0.778421\pi\) |
0.498248 | + | 0.867035i | \(0.333977\pi\) | |||||||
\(284\) | −12.6236 | + | 4.59462i | −0.749073 | + | 0.272640i | ||||
\(285\) | −0.0427664 | + | 0.0740736i | −0.00253326 | + | 0.00438774i | ||||
\(286\) | −1.75237 | − | 3.03520i | −0.103620 | − | 0.179475i | ||||
\(287\) | −7.37733 | − | 6.19031i | −0.435470 | − | 0.365403i | ||||
\(288\) | −1.43969 | + | 2.49362i | −0.0848347 | + | 0.146938i | ||||
\(289\) | −1.38919 | − | 7.87846i | −0.0817168 | − | 0.463439i | ||||
\(290\) | −0.697281 | −0.0409458 | ||||||||
\(291\) | −0.617622 | − | 3.50271i | −0.0362056 | − | 0.205332i | ||||
\(292\) | −6.67752 | + | 5.60310i | −0.390772 | + | 0.327897i | ||||
\(293\) | 1.59240 | + | 0.579585i | 0.0930288 | + | 0.0338597i | 0.388115 | − | 0.921611i | \(-0.373126\pi\) |
−0.295086 | + | 0.955471i | \(0.595348\pi\) | |||||||
\(294\) | −1.69207 | + | 0.615862i | −0.0986833 | + | 0.0359178i | ||||
\(295\) | 1.56717 | 0.0912442 | ||||||||
\(296\) | 0.758770 | − | 6.03525i | 0.0441026 | − | 0.350792i | ||||
\(297\) | −9.25402 | −0.536973 | ||||||||
\(298\) | 4.13176 | − | 1.50384i | 0.239346 | − | 0.0871150i | ||||
\(299\) | 0.0410117 | + | 0.0149270i | 0.00237177 | + | 0.000863253i | ||||
\(300\) | −1.32635 | + | 1.11294i | −0.0765770 | + | 0.0642557i | ||||
\(301\) | 2.17886 | + | 12.3569i | 0.125588 | + | 0.712242i | ||||
\(302\) | −14.7442 | −0.848435 | ||||||||
\(303\) | −0.971782 | − | 5.51125i | −0.0558274 | − | 0.316613i | ||||
\(304\) | 1.02094 | − | 1.76833i | 0.0585552 | − | 0.101421i | ||||
\(305\) | 1.06418 | + | 0.892951i | 0.0609346 | + | 0.0511302i | ||||
\(306\) | 4.31908 | + | 7.48086i | 0.246905 | + | 0.427652i | ||||
\(307\) | 6.11334 | − | 10.5886i | 0.348907 | − | 0.604324i | −0.637149 | − | 0.770741i | \(-0.719886\pi\) |
0.986056 | + | 0.166417i | \(0.0532196\pi\) | |||||||
\(308\) | −5.73783 | + | 2.08840i | −0.326943 | + | 0.118998i | ||||
\(309\) | −5.22281 | + | 4.38246i | −0.297115 | + | 0.249309i | ||||
\(310\) | 0.201867 | + | 0.349643i | 0.0114653 | + | 0.0198584i | ||||
\(311\) | −0.212134 | + | 1.20307i | −0.0120290 | + | 0.0682198i | −0.990231 | − | 0.139434i | \(-0.955472\pi\) |
0.978202 | + | 0.207654i | \(0.0665828\pi\) | |||||||
\(312\) | 0.0466368 | − | 0.264490i | 0.00264029 | − | 0.0149738i | ||||
\(313\) | −13.3380 | − | 11.1919i | −0.753906 | − | 0.632602i | 0.182627 | − | 0.983182i | \(-0.441540\pi\) |
−0.936533 | + | 0.350580i | \(0.885985\pi\) | |||||||
\(314\) | −14.7087 | − | 5.35354i | −0.830062 | − | 0.302118i | ||||
\(315\) | −0.439693 | − | 0.160035i | −0.0247739 | − | 0.00901695i | ||||
\(316\) | 3.17752 | + | 2.66625i | 0.178749 | + | 0.149989i | ||||
\(317\) | −1.51027 | + | 8.56515i | −0.0848250 | + | 0.481067i | 0.912569 | + | 0.408922i | \(0.134095\pi\) |
−0.997394 | + | 0.0721443i | \(0.977016\pi\) | |||||||
\(318\) | −0.167718 | + | 0.951178i | −0.00940518 | + | 0.0533394i | ||||
\(319\) | 13.1001 | + | 22.6901i | 0.733467 | + | 1.27040i | ||||
\(320\) | −0.0923963 | + | 0.0775297i | −0.00516511 | + | 0.00433404i | ||||
\(321\) | 0.208263 | − | 0.0758016i | 0.0116241 | − | 0.00423083i | ||||
\(322\) | 0.0380187 | − | 0.0658503i | 0.00211870 | − | 0.00366969i | ||||
\(323\) | −3.06283 | − | 5.30498i | −0.170421 | − | 0.295177i | ||||
\(324\) | 6.07398 | + | 5.09667i | 0.337443 | + | 0.283148i | ||||
\(325\) | −1.92767 | + | 3.33882i | −0.106928 | + | 0.185205i | ||||
\(326\) | 0.830222 | + | 4.70842i | 0.0459818 | + | 0.260775i | ||||
\(327\) | 2.52023 | 0.139369 | ||||||||
\(328\) | 1.24123 | + | 7.03936i | 0.0685354 | + | 0.388684i | ||||
\(329\) | 8.79086 | − | 7.37641i | 0.484656 | − | 0.406674i | ||||
\(330\) | −0.178396 | − | 0.0649308i | −0.00982037 | − | 0.00357432i | ||||
\(331\) | 7.74510 | − | 2.81899i | 0.425709 | − | 0.154945i | −0.120276 | − | 0.992741i | \(-0.538378\pi\) |
0.545985 | + | 0.837795i | \(0.316156\pi\) | |||||||
\(332\) | −5.92127 | −0.324972 | ||||||||
\(333\) | −16.7344 | − | 5.16923i | −0.917041 | − | 0.283272i | ||||
\(334\) | −2.00505 | −0.109712 | ||||||||
\(335\) | 0.580375 | − | 0.211239i | 0.0317092 | − | 0.0115412i | ||||
\(336\) | −0.439693 | − | 0.160035i | −0.0239872 | − | 0.00873063i | ||||
\(337\) | 10.7456 | − | 9.01660i | 0.585348 | − | 0.491166i | −0.301350 | − | 0.953514i | \(-0.597437\pi\) |
0.886699 | + | 0.462348i | \(0.152993\pi\) | |||||||
\(338\) | 2.15358 | + | 12.2136i | 0.117139 | + | 0.664330i | ||||
\(339\) | −4.80066 | −0.260736 | ||||||||
\(340\) | 0.0628336 | + | 0.356347i | 0.00340763 | + | 0.0193256i | ||||
\(341\) | 7.58512 | − | 13.1378i | 0.410757 | − | 0.711453i | ||||
\(342\) | −4.50387 | − | 3.77920i | −0.243541 | − | 0.204356i | ||||
\(343\) | 8.20826 | + | 14.2171i | 0.443205 | + | 0.767653i | ||||
\(344\) | 4.65657 | − | 8.06542i | 0.251066 | − | 0.434858i | ||||
\(345\) | 0.00222152 | 0.000808567i | 0.000119603 | 4.35318e-5i | ||||||
\(346\) | 10.5569 | − | 8.85829i | 0.567543 | − | 0.476225i | ||||
\(347\) | −9.92262 | − | 17.1865i | −0.532674 | − | 0.922619i | −0.999272 | − | 0.0381490i | \(-0.987854\pi\) |
0.466598 | − | 0.884470i | \(-0.345479\pi\) | |||||||
\(348\) | −0.348641 | + | 1.97724i | −0.0186891 | + | 0.105991i | ||||
\(349\) | 2.98633 | − | 16.9363i | 0.159855 | − | 0.906580i | −0.794358 | − | 0.607450i | \(-0.792192\pi\) |
0.954212 | − | 0.299130i | \(-0.0966964\pi\) | |||||||
\(350\) | 5.14543 | + | 4.31753i | 0.275035 | + | 0.230782i | ||||
\(351\) | −1.48380 | − | 0.540060i | −0.0791996 | − | 0.0288263i | ||||
\(352\) | 4.25877 | + | 1.55007i | 0.226993 | + | 0.0826188i | ||||
\(353\) | 12.9272 | + | 10.8472i | 0.688046 | + | 0.577339i | 0.918345 | − | 0.395781i | \(-0.129526\pi\) |
−0.230299 | + | 0.973120i | \(0.573971\pi\) | |||||||
\(354\) | 0.783585 | − | 4.44393i | 0.0416471 | − | 0.236192i | ||||
\(355\) | −0.281364 | + | 1.59569i | −0.0149332 | + | 0.0846906i | ||||
\(356\) | −3.80928 | − | 6.59786i | −0.201891 | − | 0.349686i | ||||
\(357\) | −1.07532 | + | 0.902302i | −0.0569121 | + | 0.0477549i | ||||
\(358\) | −13.8366 | + | 5.03612i | −0.731288 | + | 0.266167i | ||||
\(359\) | 8.05690 | − | 13.9550i | 0.425227 | − | 0.736515i | −0.571214 | − | 0.820801i | \(-0.693528\pi\) |
0.996442 | + | 0.0842859i | \(0.0268609\pi\) | |||||||
\(360\) | 0.173648 | + | 0.300767i | 0.00915206 | + | 0.0158518i | ||||
\(361\) | −11.3610 | − | 9.53298i | −0.597946 | − | 0.501736i | ||||
\(362\) | −5.44949 | + | 9.43880i | −0.286419 | + | 0.496092i | ||||
\(363\) | 0.575322 | + | 3.26281i | 0.0301966 | + | 0.171253i | ||||
\(364\) | −1.04189 | −0.0546098 | ||||||||
\(365\) | 0.182571 | + | 1.03541i | 0.00955620 | + | 0.0541959i | ||||
\(366\) | 3.06418 | − | 2.57115i | 0.160167 | − | 0.134396i | ||||
\(367\) | 32.9666 | + | 11.9989i | 1.72084 | + | 0.626336i | 0.997912 | − | 0.0645839i | \(-0.0205720\pi\) |
0.722931 | + | 0.690920i | \(0.242794\pi\) | |||||||
\(368\) | −0.0530334 | + | 0.0193026i | −0.00276456 | + | 0.00100622i | ||||
\(369\) | 20.5817 | 1.07144 | ||||||||
\(370\) | −0.584655 | − | 0.443228i | −0.0303948 | − | 0.0230423i | ||||
\(371\) | 3.74691 | 0.194530 | ||||||||
\(372\) | 1.09240 | − | 0.397600i | 0.0566381 | − | 0.0206146i | ||||
\(373\) | 27.9047 | + | 10.1565i | 1.44485 | + | 0.525882i | 0.941148 | − | 0.337996i | \(-0.109749\pi\) |
0.503701 | + | 0.863878i | \(0.331971\pi\) | |||||||
\(374\) | 10.4153 | − | 8.73951i | 0.538565 | − | 0.451909i | ||||
\(375\) | 0.0726338 | + | 0.411927i | 0.00375079 | + | 0.0212718i | ||||
\(376\) | −8.51754 | −0.439259 | ||||||||
\(377\) | 0.776311 | + | 4.40268i | 0.0399821 | + | 0.226750i | ||||
\(378\) | −1.37551 | + | 2.38246i | −0.0707488 | + | 0.122541i | ||||
\(379\) | 0.321137 | + | 0.269466i | 0.0164957 | + | 0.0138415i | 0.650998 | − | 0.759079i | \(-0.274351\pi\) |
−0.634502 | + | 0.772921i | \(0.718795\pi\) | |||||||
\(380\) | −0.123141 | − | 0.213286i | −0.00631700 | − | 0.0109414i | ||||
\(381\) | −2.10354 | + | 3.64344i | −0.107768 | + | 0.186659i | ||||
\(382\) | 8.51114 | − | 3.09780i | 0.435468 | − | 0.158497i | ||||
\(383\) | −4.92443 | + | 4.13209i | −0.251627 | + | 0.211140i | −0.759872 | − | 0.650072i | \(-0.774739\pi\) |
0.508246 | + | 0.861212i | \(0.330294\pi\) | |||||||
\(384\) | 0.173648 | + | 0.300767i | 0.00886145 | + | 0.0153485i | ||||
\(385\) | −0.127889 | + | 0.725293i | −0.00651781 | + | 0.0369644i | ||||
\(386\) | −2.18614 | + | 12.3982i | −0.111271 | + | 0.631052i | ||||
\(387\) | −20.5424 | − | 17.2371i | −1.04423 | − | 0.876210i | ||||
\(388\) | 9.62361 | + | 3.50271i | 0.488565 | + | 0.177823i | ||||
\(389\) | 2.92602 | + | 1.06498i | 0.148355 | + | 0.0539969i | 0.415130 | − | 0.909762i | \(-0.363736\pi\) |
−0.266775 | + | 0.963759i | \(0.585958\pi\) | |||||||
\(390\) | −0.0248149 | − | 0.0208222i | −0.00125655 | − | 0.00105437i | ||||
\(391\) | −0.0294005 | + | 0.166739i | −0.00148685 | + | 0.00843234i | ||||
\(392\) | 0.900330 | − | 5.10602i | 0.0454735 | − | 0.257893i | ||||
\(393\) | −3.75877 | − | 6.51038i | −0.189605 | − | 0.328405i | ||||
\(394\) | 9.14409 | − | 7.67280i | 0.460672 | − | 0.386550i | ||||
\(395\) | 0.470133 | − | 0.171114i | 0.0236549 | − | 0.00860969i | ||||
\(396\) | 6.52481 | − | 11.3013i | 0.327884 | − | 0.567912i | ||||
\(397\) | −9.85369 | − | 17.0671i | −0.494543 | − | 0.856573i | 0.505438 | − | 0.862863i | \(-0.331331\pi\) |
−0.999980 | + | 0.00629016i | \(0.997998\pi\) | |||||||
\(398\) | −1.75490 | − | 1.47254i | −0.0879652 | − | 0.0738116i | ||||
\(399\) | 0.477711 | − | 0.827420i | 0.0239155 | − | 0.0414228i | ||||
\(400\) | −0.865715 | − | 4.90971i | −0.0432857 | − | 0.245486i | ||||
\(401\) | 18.9162 | 0.944631 | 0.472316 | − | 0.881430i | \(-0.343418\pi\) | ||||
0.472316 | + | 0.881430i | \(0.343418\pi\) | |||||||
\(402\) | −0.308811 | − | 1.75135i | −0.0154021 | − | 0.0873496i | ||||
\(403\) | 1.98293 | − | 1.66387i | 0.0987766 | − | 0.0828834i | ||||
\(404\) | 15.1420 | + | 5.51125i | 0.753344 | + | 0.274195i | ||||
\(405\) | 0.898681 | − | 0.327093i | 0.0446558 | − | 0.0162534i | ||||
\(406\) | 7.78880 | 0.386552 | ||||||||
\(407\) | −3.43882 | + | 27.3523i | −0.170456 | + | 1.35580i | ||||
\(408\) | 1.04189 | 0.0515812 | ||||||||
\(409\) | −5.99020 | + | 2.18025i | −0.296196 | + | 0.107807i | −0.485844 | − | 0.874046i | \(-0.661488\pi\) |
0.189648 | + | 0.981852i | \(0.439265\pi\) | |||||||
\(410\) | 0.810155 | + | 0.294872i | 0.0400107 | + | 0.0145627i | ||||
\(411\) | 2.29813 | − | 1.92836i | 0.113359 | − | 0.0951191i | ||||
\(412\) | −3.40895 | − | 19.3331i | −0.167947 | − | 0.952474i | ||||
\(413\) | −17.5057 | −0.861398 | ||||||||
\(414\) | 0.0282185 | + | 0.160035i | 0.00138686 | + | 0.00786529i | ||||
\(415\) | −0.357097 | + | 0.618509i | −0.0175292 | + | 0.0303614i | ||||
\(416\) | 0.592396 | + | 0.497079i | 0.0290446 | + | 0.0243713i | ||||
\(417\) | 2.32770 | + | 4.03169i | 0.113988 | + | 0.197433i | ||||
\(418\) | −4.62701 | + | 8.01422i | −0.226315 | + | 0.391988i | ||||
\(419\) | −19.6258 | + | 7.14322i | −0.958785 | + | 0.348969i | −0.773557 | − | 0.633727i | \(-0.781524\pi\) |
−0.185227 | + | 0.982696i | \(0.559302\pi\) | |||||||
\(420\) | −0.0432332 | + | 0.0362770i | −0.00210957 | + | 0.00177014i | ||||
\(421\) | 2.90420 | + | 5.03022i | 0.141542 | + | 0.245158i | 0.928077 | − | 0.372387i | \(-0.121461\pi\) |
−0.786535 | + | 0.617545i | \(0.788127\pi\) | |||||||
\(422\) | −0.165907 | + | 0.940908i | −0.00807625 | + | 0.0458027i | ||||
\(423\) | −4.25877 | + | 24.1527i | −0.207069 | + | 1.17434i | ||||
\(424\) | −2.13041 | − | 1.78763i | −0.103462 | − | 0.0868150i | ||||
\(425\) | −14.0544 | − | 5.11538i | −0.681737 | − | 0.248132i | ||||
\(426\) | 4.38413 | + | 1.59569i | 0.212412 | + | 0.0773116i | ||||
\(427\) | −11.8871 | − | 9.97448i | −0.575258 | − | 0.482699i | ||||
\(428\) | −0.110815 | + | 0.628461i | −0.00535642 | + | 0.0303778i | ||||
\(429\) | −0.211362 | + | 1.19869i | −0.0102047 | + | 0.0578735i | ||||
\(430\) | −0.561652 | − | 0.972809i | −0.0270852 | − | 0.0469130i | ||||
\(431\) | 8.70233 | − | 7.30212i | 0.419177 | − | 0.351731i | −0.408673 | − | 0.912681i | \(-0.634008\pi\) |
0.827850 | + | 0.560950i | \(0.189564\pi\) | |||||||
\(432\) | 1.91875 | − | 0.698367i | 0.0923158 | − | 0.0336002i | ||||
\(433\) | −17.8025 | + | 30.8348i | −0.855532 | + | 1.48183i | 0.0206183 | + | 0.999787i | \(0.493437\pi\) |
−0.876150 | + | 0.482038i | \(0.839897\pi\) | |||||||
\(434\) | −2.25490 | − | 3.90560i | −0.108239 | − | 0.187475i | ||||
\(435\) | 0.185508 | + | 0.155659i | 0.00889442 | + | 0.00746330i | ||||
\(436\) | −3.62836 | + | 6.28450i | −0.173767 | + | 0.300973i | ||||
\(437\) | −0.0200109 | − | 0.113487i | −0.000957250 | − | 0.00542884i | ||||
\(438\) | 3.02734 | 0.144652 | ||||||||
\(439\) | 3.90777 | + | 22.1620i | 0.186507 | + | 1.05774i | 0.924003 | + | 0.382385i | \(0.124897\pi\) |
−0.737496 | + | 0.675352i | \(0.763992\pi\) | |||||||
\(440\) | 0.418748 | − | 0.351371i | 0.0199630 | − | 0.0167510i | ||||
\(441\) | −14.0287 | − | 5.10602i | −0.668033 | − | 0.243144i | ||||
\(442\) | 2.18004 | − | 0.793471i | 0.103694 | − | 0.0377416i | ||||
\(443\) | −26.0942 | −1.23977 | −0.619887 | − | 0.784691i | \(-0.712821\pi\) | ||||
−0.619887 | + | 0.784691i | \(0.712821\pi\) | |||||||
\(444\) | −1.54916 | + | 1.43626i | −0.0735200 | + | 0.0681618i | ||||
\(445\) | −0.918910 | −0.0435605 | ||||||||
\(446\) | −16.7875 | + | 6.11013i | −0.794909 | + | 0.289323i | ||||
\(447\) | −1.43494 | − | 0.522277i | −0.0678706 | − | 0.0247029i | ||||
\(448\) | 1.03209 | − | 0.866025i | 0.0487616 | − | 0.0409159i | ||||
\(449\) | −1.13310 | − | 6.42615i | −0.0534745 | − | 0.303269i | 0.946327 | − | 0.323212i | \(-0.104763\pi\) |
−0.999801 | + | 0.0199431i | \(0.993651\pi\) | |||||||
\(450\) | −14.3550 | −0.676703 | ||||||||
\(451\) | −5.62536 | − | 31.9030i | −0.264888 | − | 1.50225i | ||||
\(452\) | 6.91147 | − | 11.9710i | 0.325088 | − | 0.563070i | ||||
\(453\) | 3.92262 | + | 3.29147i | 0.184301 | + | 0.154647i | ||||
\(454\) | 4.42514 | + | 7.66458i | 0.207682 | + | 0.359716i | ||||
\(455\) | −0.0628336 | + | 0.108831i | −0.00294568 | + | 0.00510208i | ||||
\(456\) | −0.666374 | + | 0.242540i | −0.0312058 | + | 0.0113580i | ||||
\(457\) | −25.0835 | + | 21.0476i | −1.17336 | + | 0.984564i | −1.00000 | 0.000294571i | \(-0.999906\pi\) | |
−0.173358 | + | 0.984859i | \(0.555462\pi\) | |||||||
\(458\) | −8.70574 | − | 15.0788i | −0.406792 | − | 0.704585i | ||||
\(459\) | 1.06371 | − | 6.03260i | 0.0496498 | − | 0.281578i | ||||
\(460\) | −0.00118205 | + | 0.00670372i | −5.51132e−5 | + | 0.000312562i | ||||
\(461\) | 14.9722 | + | 12.5632i | 0.697327 | + | 0.585127i | 0.921012 | − | 0.389535i | \(-0.127364\pi\) |
−0.223685 | + | 0.974662i | \(0.571809\pi\) | |||||||
\(462\) | 1.99273 | + | 0.725293i | 0.0927100 | + | 0.0337437i | ||||
\(463\) | −40.2943 | − | 14.6659i | −1.87264 | − | 0.681584i | −0.965278 | − | 0.261224i | \(-0.915874\pi\) |
−0.907358 | − | 0.420359i | \(-0.861904\pi\) | |||||||
\(464\) | −4.42855 | − | 3.71599i | −0.205590 | − | 0.172511i | ||||
\(465\) | 0.0243481 | − | 0.138085i | 0.00112912 | − | 0.00640354i | ||||
\(466\) | 0.728026 | − | 4.12884i | 0.0337251 | − | 0.191265i | ||||
\(467\) | −10.5444 | − | 18.2635i | −0.487937 | − | 0.845132i | 0.511966 | − | 0.859005i | \(-0.328917\pi\) |
−0.999904 | + | 0.0138732i | \(0.995584\pi\) | |||||||
\(468\) | 1.70574 | − | 1.43128i | 0.0788477 | − | 0.0661611i | ||||
\(469\) | −6.48293 | + | 2.35959i | −0.299354 | + | 0.108956i | ||||
\(470\) | −0.513671 | + | 0.889704i | −0.0236939 | + | 0.0410390i | ||||
\(471\) | 2.71806 | + | 4.70782i | 0.125242 | + | 0.216925i | ||||
\(472\) | 9.95336 | + | 8.35186i | 0.458141 | + | 0.384426i | ||||
\(473\) | −21.1040 | + | 36.5532i | −0.970363 | + | 1.68072i | ||||
\(474\) | −0.250152 | − | 1.41868i | −0.0114899 | − | 0.0651623i | ||||
\(475\) | 10.1797 | 0.467079 | ||||||||
\(476\) | −0.701867 | − | 3.98048i | −0.0321700 | − | 0.182445i | ||||
\(477\) | −6.13429 | + | 5.14728i | −0.280870 | + | 0.235678i | ||||
\(478\) | 8.05943 | + | 2.93339i | 0.368630 | + | 0.134170i | ||||
\(479\) | 22.7430 | − | 8.27779i | 1.03916 | − | 0.378222i | 0.234596 | − | 0.972093i | \(-0.424623\pi\) |
0.804560 | + | 0.593871i | \(0.202401\pi\) | |||||||
\(480\) | 0.0418891 | 0.00191197 | ||||||||
\(481\) | −2.14765 | + | 4.18502i | −0.0979245 | + | 0.190820i | ||||
\(482\) | 20.9145 | 0.952628 | ||||||||
\(483\) | −0.0248149 | + | 0.00903189i | −0.00112912 | + | 0.000410965i | ||||
\(484\) | −8.96451 | − | 3.26281i | −0.407478 | − | 0.148310i | ||||
\(485\) | 0.946251 | − | 0.793999i | 0.0429671 | − | 0.0360536i | ||||
\(486\) | −1.54189 | − | 8.74449i | −0.0699415 | − | 0.396658i | ||||
\(487\) | 28.9682 | 1.31268 | 0.656338 | − | 0.754467i | \(-0.272105\pi\) | ||||
0.656338 | + | 0.754467i | \(0.272105\pi\) | |||||||
\(488\) | 2.00000 | + | 11.3426i | 0.0905357 | + | 0.513454i | ||||
\(489\) | 0.830222 | − | 1.43799i | 0.0375439 | − | 0.0650280i | ||||
\(490\) | −0.479055 | − | 0.401975i | −0.0216415 | − | 0.0181594i | ||||
\(491\) | 14.0758 | + | 24.3800i | 0.635231 | + | 1.10025i | 0.986466 | + | 0.163966i | \(0.0524286\pi\) |
−0.351235 | + | 0.936287i | \(0.614238\pi\) | |||||||
\(492\) | 1.24123 | − | 2.14987i | 0.0559589 | − | 0.0969237i | ||||
\(493\) | −16.2973 | + | 5.93172i | −0.733991 | + | 0.267151i | ||||
\(494\) | −1.20961 | + | 1.01498i | −0.0544228 | + | 0.0456662i | ||||
\(495\) | −0.786989 | − | 1.36310i | −0.0353725 | − | 0.0612670i | ||||
\(496\) | −0.581252 | + | 3.29644i | −0.0260990 | + | 0.148015i | ||||
\(497\) | 3.14290 | − | 17.8243i | 0.140978 | − | 0.799529i | ||||
\(498\) | 1.57532 | + | 1.32185i | 0.0705919 | + | 0.0592336i | ||||
\(499\) | 4.40255 | + | 1.60240i | 0.197085 | + | 0.0717332i | 0.438677 | − | 0.898645i | \(-0.355447\pi\) |
−0.241592 | + | 0.970378i | \(0.577669\pi\) | |||||||
\(500\) | −1.13176 | − | 0.411927i | −0.0506138 | − | 0.0184219i | ||||
\(501\) | 0.533433 | + | 0.447603i | 0.0238320 | + | 0.0199974i | ||||
\(502\) | −1.18004 | + | 6.69237i | −0.0526680 | + | 0.298695i | ||||
\(503\) | 4.39037 | − | 24.8990i | 0.195757 | − | 1.11019i | −0.715580 | − | 0.698531i | \(-0.753838\pi\) |
0.911337 | − | 0.411661i | \(-0.135051\pi\) | |||||||
\(504\) | −1.93969 | − | 3.35965i | −0.0864008 | − | 0.149651i | ||||
\(505\) | 1.48886 | − | 1.24930i | 0.0662532 | − | 0.0555930i | ||||
\(506\) | 0.240352 | − | 0.0874810i | 0.0106850 | − | 0.00388901i | ||||
\(507\) | 2.15358 | − | 3.73011i | 0.0956439 | − | 0.165660i | ||||
\(508\) | −6.05690 | − | 10.4909i | −0.268732 | − | 0.465457i | ||||
\(509\) | 16.3739 | + | 13.7394i | 0.725761 | + | 0.608986i | 0.928972 | − | 0.370149i | \(-0.120693\pi\) |
−0.203211 | + | 0.979135i | \(0.565138\pi\) | |||||||
\(510\) | 0.0628336 | − | 0.108831i | 0.00278232 | − | 0.00481912i | ||||
\(511\) | −2.03936 | − | 11.5658i | −0.0902161 | − | 0.511641i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0.723993 | + | 4.10597i | 0.0319651 | + | 0.181283i | ||||
\(514\) | 7.57011 | − | 6.35207i | 0.333903 | − | 0.280178i | ||||
\(515\) | −2.22503 | − | 0.809846i | −0.0980467 | − | 0.0356861i | ||||
\(516\) | −3.03936 | + | 1.10624i | −0.133800 | + | 0.0486994i | ||||
\(517\) | 38.6023 | 1.69773 | ||||||||
\(518\) | 6.53074 | + | 4.95096i | 0.286944 | + | 0.217533i | ||||
\(519\) | −4.78611 | −0.210087 | ||||||||
\(520\) | 0.0876485 | − | 0.0319015i | 0.00384364 | − | 0.00139897i | ||||
\(521\) | 18.6853 | + | 6.80088i | 0.818616 | + | 0.297952i | 0.717178 | − | 0.696890i | \(-0.245433\pi\) |
0.101438 | + | 0.994842i | \(0.467656\pi\) | |||||||
\(522\) | −12.7515 | + | 10.6998i | −0.558118 | + | 0.468316i | ||||
\(523\) | −2.94919 | − | 16.7257i | −0.128959 | − | 0.731363i | −0.978877 | − | 0.204448i | \(-0.934460\pi\) |
0.849918 | − | 0.526914i | \(-0.176651\pi\) | |||||||
\(524\) | 21.6459 | 0.945605 | ||||||||
\(525\) | −0.405078 | − | 2.29731i | −0.0176790 | − | 0.100263i | ||||
\(526\) | −10.3255 | + | 17.8842i | −0.450212 | + | 0.779790i | ||||
\(527\) | 7.69253 | + | 6.45480i | 0.335092 | + | 0.281176i | ||||
\(528\) | −0.786989 | − | 1.36310i | −0.0342493 | − | 0.0593215i | ||||
\(529\) | 11.4984 | − | 19.9158i | 0.499931 | − | 0.865905i | ||||
\(530\) | −0.315207 | + | 0.114726i | −0.0136917 | + | 0.00498338i | ||||
\(531\) | 28.6596 | − | 24.0482i | 1.24372 | − | 1.04360i | ||||
\(532\) | 1.37551 | + | 2.38246i | 0.0596361 | + | 0.103293i | ||||
\(533\) | 0.959866 | − | 5.44367i | 0.0415764 | − | 0.235791i | ||||
\(534\) | −0.459455 | + | 2.60570i | −0.0198826 | + | 0.112760i | ||||
\(535\) | 0.0589632 | + | 0.0494760i | 0.00254920 | + | 0.00213903i | ||||
\(536\) | 4.81180 | + | 1.75135i | 0.207838 | + | 0.0756469i | ||||
\(537\) | 4.80541 | + | 1.74903i | 0.207369 | + | 0.0754760i | ||||
\(538\) | −21.1630 | − | 17.7578i | −0.912400 | − | 0.765595i | ||||
\(539\) | −4.08037 | + | 23.1410i | −0.175754 | + | 0.996751i | ||||
\(540\) | 0.0427664 | − | 0.242540i | 0.00184037 | − | 0.0104373i | ||||
\(541\) | −14.6348 | − | 25.3481i | −0.629197 | − | 1.08980i | −0.987713 | − | 0.156278i | \(-0.950050\pi\) |
0.358516 | − | 0.933524i | \(-0.383283\pi\) | |||||||
\(542\) | −5.24170 | + | 4.39831i | −0.225150 | + | 0.188923i | ||||
\(543\) | 3.55690 | − | 1.29461i | 0.152641 | − | 0.0555569i | ||||
\(544\) | −1.50000 | + | 2.59808i | −0.0643120 | + | 0.111392i | ||||
\(545\) | 0.437633 | + | 0.758003i | 0.0187461 | + | 0.0324693i | ||||
\(546\) | 0.277189 | + | 0.232589i | 0.0118626 | + | 0.00995389i | ||||
\(547\) | 0.666841 | − | 1.15500i | 0.0285121 | − | 0.0493843i | −0.851417 | − | 0.524489i | \(-0.824256\pi\) |
0.879929 | + | 0.475105i | \(0.157590\pi\) | |||||||
\(548\) | 1.50000 | + | 8.50692i | 0.0640768 | + | 0.363398i | ||||
\(549\) | 33.1634 | 1.41538 | ||||||||
\(550\) | 3.92350 | + | 22.2513i | 0.167298 | + | 0.948797i | ||||
\(551\) | 9.04260 | − | 7.58765i | 0.385228 | − | 0.323245i | ||||
\(552\) | 0.0184183 | + | 0.00670372i | 0.000783935 | + | 0.000285329i | ||||
\(553\) | −5.25150 | + | 1.91139i | −0.223316 | + | 0.0812805i | ||||
\(554\) | 23.8331 | 1.01257 | ||||||||
\(555\) | 0.0565991 | + | 0.248436i | 0.00240250 | + | 0.0105455i | ||||
\(556\) | −13.4047 | −0.568485 | ||||||||
\(557\) | −30.3790 | + | 11.0570i | −1.28720 | + | 0.468502i | −0.892807 | − | 0.450440i | \(-0.851267\pi\) |
−0.394392 | + | 0.918942i | \(0.629045\pi\) | |||||||
\(558\) | 9.05690 | + | 3.29644i | 0.383409 | + | 0.139550i | ||||
\(559\) | −5.51707 | + | 4.62937i | −0.233347 | + | 0.195802i | ||||
\(560\) | −0.0282185 | − | 0.160035i | −0.00119245 | − | 0.00676271i | ||||
\(561\) | −4.72193 | −0.199360 | ||||||||
\(562\) | −5.51367 | − | 31.2696i | −0.232580 | − | 1.31903i | ||||
\(563\) | 8.34389 | − | 14.4520i | 0.351653 | − | 0.609081i | −0.634886 | − | 0.772606i | \(-0.718953\pi\) |
0.986539 | + | 0.163525i | \(0.0522863\pi\) | |||||||
\(564\) | 2.26604 | + | 1.90144i | 0.0954177 | + | 0.0800649i | ||||
\(565\) | −0.833626 | − | 1.44388i | −0.0350709 | − | 0.0607446i | ||||
\(566\) | −2.95471 | + | 5.11770i | −0.124196 | + | 0.215113i | ||||
\(567\) | −10.0385 | + | 3.65371i | −0.421577 | + | 0.153441i | ||||
\(568\) | −10.2909 | + | 8.63506i | −0.431795 | + | 0.362319i | ||||
\(569\) | 0.213011 | + | 0.368946i | 0.00892989 | + | 0.0154670i | 0.870456 | − | 0.492247i | \(-0.163824\pi\) |
−0.861526 | + | 0.507714i | \(0.830491\pi\) | |||||||
\(570\) | −0.0148526 | + | 0.0842334i | −0.000622108 | + | 0.00352815i | ||||
\(571\) | 2.42262 | − | 13.7394i | 0.101383 | − | 0.574974i | −0.891220 | − | 0.453571i | \(-0.850150\pi\) |
0.992603 | − | 0.121403i | \(-0.0387392\pi\) | |||||||
\(572\) | −2.68479 | − | 2.25281i | −0.112257 | − | 0.0941947i | ||||
\(573\) | −2.95589 | − | 1.07586i | −0.123484 | − | 0.0449445i | ||||
\(574\) | −9.04963 | − | 3.29380i | −0.377724 | − | 0.137480i | ||||
\(575\) | −0.215537 | − | 0.180857i | −0.00898852 | − | 0.00754227i | ||||
\(576\) | −0.500000 | + | 2.83564i | −0.0208333 | + | 0.118152i | ||||
\(577\) | −1.90373 | + | 10.7966i | −0.0792535 | + | 0.449469i | 0.919196 | + | 0.393801i | \(0.128840\pi\) |
−0.998449 | + | 0.0556680i | \(0.982271\pi\) | |||||||
\(578\) | −4.00000 | − | 6.92820i | −0.166378 | − | 0.288175i | ||||
\(579\) | 3.34936 | − | 2.81044i | 0.139194 | − | 0.116798i | ||||
\(580\) | −0.655230 | + | 0.238484i | −0.0272069 | + | 0.00990252i | ||||
\(581\) | 3.98886 | − | 6.90890i | 0.165486 | − | 0.286629i | ||||
\(582\) | −1.77837 | − | 3.08023i | −0.0737158 | − | 0.127680i | ||||
\(583\) | 9.65523 | + | 8.10170i | 0.399879 | + | 0.335538i | ||||
\(584\) | −4.35844 | + | 7.54904i | −0.180354 | + | 0.312382i | ||||
\(585\) | −0.0466368 | − | 0.264490i | −0.00192819 | − | 0.0109353i | ||||
\(586\) | 1.69459 | 0.0700030 | ||||||||
\(587\) | −2.21167 | − | 12.5430i | −0.0912853 | − | 0.517704i | −0.995823 | − | 0.0913099i | \(-0.970895\pi\) |
0.904537 | − | 0.426395i | \(-0.140216\pi\) | |||||||
\(588\) | −1.37939 | + | 1.15744i | −0.0568849 | + | 0.0477321i | ||||
\(589\) | −6.42262 | − | 2.33764i | −0.264639 | − | 0.0963209i | ||||
\(590\) | 1.47266 | − | 0.536004i | 0.0606284 | − | 0.0220669i | ||||
\(591\) | −4.14559 | −0.170527 | ||||||||
\(592\) | −1.35117 | − | 5.93080i | −0.0555326 | − | 0.243754i | ||||
\(593\) | 33.6786 | 1.38301 | 0.691507 | − | 0.722369i | \(-0.256947\pi\) | ||||
0.691507 | + | 0.722369i | \(0.256947\pi\) | |||||||
\(594\) | −8.69594 | + | 3.16506i | −0.356799 | + | 0.129864i | ||||
\(595\) | −0.458111 | − | 0.166739i | −0.0187807 | − | 0.00683562i | ||||
\(596\) | 3.36824 | − | 2.82629i | 0.137969 | − | 0.115769i | ||||
\(597\) | 0.138156 | + | 0.783520i | 0.00565434 | + | 0.0320673i | ||||
\(598\) | 0.0436438 | 0.00178473 | ||||||||
\(599\) | −2.36484 | − | 13.4117i | −0.0966246 | − | 0.547986i | −0.994237 | − | 0.107201i | \(-0.965811\pi\) |
0.897613 | − | 0.440785i | \(-0.145300\pi\) | |||||||
\(600\) | −0.865715 | + | 1.49946i | −0.0353427 | + | 0.0612153i | ||||
\(601\) | 12.3962 | + | 10.4017i | 0.505652 | + | 0.424292i | 0.859596 | − | 0.510974i | \(-0.170715\pi\) |
−0.353944 | + | 0.935267i | \(0.615160\pi\) | |||||||
\(602\) | 6.27379 | + | 10.8665i | 0.255700 | + | 0.442886i | ||||
\(603\) | 7.37211 | − | 12.7689i | 0.300216 | − | 0.519989i | ||||
\(604\) | −13.8550 | + | 5.04282i | −0.563753 | + | 0.205189i | ||||
\(605\) | −0.881445 | + | 0.739620i | −0.0358358 | + | 0.0300698i | ||||
\(606\) | −2.79813 | − | 4.84651i | −0.113666 | − | 0.196876i | ||||
\(607\) | −7.17247 | + | 40.6771i | −0.291121 | + | 1.65103i | 0.391440 | + | 0.920204i | \(0.371977\pi\) |
−0.682562 | + | 0.730828i | \(0.739134\pi\) | |||||||
\(608\) | 0.354570 | − | 2.01087i | 0.0143797 | − | 0.0815515i | ||||
\(609\) | −2.07217 | − | 1.73875i | −0.0839684 | − | 0.0704579i | ||||
\(610\) | 1.30541 | + | 0.475129i | 0.0528544 | + | 0.0192374i | ||||
\(611\) | 6.18954 | + | 2.25281i | 0.250402 | + | 0.0911389i | ||||
\(612\) | 6.61721 | + | 5.55250i | 0.267485 | + | 0.224446i | ||||
\(613\) | −5.40255 | + | 30.6394i | −0.218207 | + | 1.23751i | 0.657047 | + | 0.753850i | \(0.271805\pi\) |
−0.875254 | + | 0.483664i | \(0.839306\pi\) | |||||||
\(614\) | 2.12314 | − | 12.0409i | 0.0856830 | − | 0.485932i | ||||
\(615\) | −0.149711 | − | 0.259306i | −0.00603691 | − | 0.0104562i | ||||
\(616\) | −4.67752 | + | 3.92490i | −0.188463 | + | 0.158139i | ||||
\(617\) | −17.9547 | + | 6.53498i | −0.722829 | + | 0.263088i | −0.677126 | − | 0.735867i | \(-0.736775\pi\) |
−0.0457029 | + | 0.998955i | \(0.514553\pi\) | |||||||
\(618\) | −3.40895 | + | 5.90447i | −0.137128 | + | 0.237513i | ||||
\(619\) | −19.4636 | − | 33.7120i | −0.782309 | − | 1.35500i | −0.930593 | − | 0.366055i | \(-0.880708\pi\) |
0.148284 | − | 0.988945i | \(-0.452625\pi\) | |||||||
\(620\) | 0.309278 | + | 0.259515i | 0.0124209 | + | 0.0104224i | ||||
\(621\) | 0.0576190 | − | 0.0997991i | 0.00231217 | − | 0.00400480i | ||||
\(622\) | 0.212134 | + | 1.20307i | 0.00850579 | + | 0.0482387i | ||||
\(623\) | 10.2645 | 0.411237 | ||||||||
\(624\) | −0.0466368 | − | 0.264490i | −0.00186697 | − | 0.0105881i | ||||
\(625\) | 18.9841 | − | 15.9296i | 0.759364 | − | 0.637182i | ||||
\(626\) | −16.3614 | − | 5.95507i | −0.653934 | − | 0.238013i | ||||
\(627\) | 3.02007 | − | 1.09921i | 0.120610 | − | 0.0438984i | ||||
\(628\) | −15.6527 | −0.624611 | ||||||||
\(629\) | −17.4354 | − | 5.38576i | −0.695195 | − | 0.214744i | ||||
\(630\) | −0.467911 | −0.0186420 | ||||||||
\(631\) | 0.635163 | − | 0.231180i | 0.0252854 | − | 0.00920314i | −0.329346 | − | 0.944209i | \(-0.606828\pi\) |
0.354632 | + | 0.935006i | \(0.384606\pi\) | |||||||
\(632\) | 3.89780 | + | 1.41868i | 0.155046 | + | 0.0564322i | ||||
\(633\) | 0.254185 | − | 0.213286i | 0.0101029 | − | 0.00847737i | ||||
\(634\) | 1.51027 | + | 8.56515i | 0.0599804 | + | 0.340166i | ||||
\(635\) | −1.46110 | −0.0579821 | ||||||||
\(636\) | 0.167718 | + | 0.951178i | 0.00665047 | + | 0.0377167i | ||||
\(637\) | −2.00475 | + | 3.47232i | −0.0794310 | + | 0.137579i | ||||
\(638\) | 20.0706 | + | 16.8412i | 0.794602 | + | 0.666750i | ||||
\(639\) | 19.3405 | + | 33.4987i | 0.765098 | + | 1.32519i | ||||
\(640\) | −0.0603074 | + | 0.104455i | −0.00238386 | + | 0.00412896i | ||||
\(641\) | −17.6853 | + | 6.43691i | −0.698526 | + | 0.254243i | −0.666781 | − | 0.745253i | \(-0.732328\pi\) |
−0.0317444 | + | 0.999496i | \(0.510106\pi\) | |||||||
\(642\) | 0.169778 | − | 0.142460i | 0.00670059 | − | 0.00562247i | ||||
\(643\) | −22.6582 | − | 39.2452i | −0.893553 | − | 1.54768i | −0.835585 | − | 0.549361i | \(-0.814871\pi\) |
−0.0579679 | − | 0.998318i | \(-0.518462\pi\) | |||||||
\(644\) | 0.0132037 | − | 0.0748822i | 0.000520300 | − | 0.00295077i | ||||
\(645\) | −0.0677435 | + | 0.384192i | −0.00266740 | + | 0.0151276i | ||||
\(646\) | −4.69253 | − | 3.93750i | −0.184625 | − | 0.154919i | ||||
\(647\) | −18.9859 | − | 6.91031i | −0.746413 | − | 0.271672i | −0.0593177 | − | 0.998239i | \(-0.518893\pi\) |
−0.687096 | + | 0.726567i | \(0.741115\pi\) | |||||||
\(648\) | 7.45084 | + | 2.71188i | 0.292697 | + | 0.106533i | ||||
\(649\) | −45.1095 | − | 37.8514i | −1.77070 | − | 1.48580i | ||||
\(650\) | −0.669473 | + | 3.79677i | −0.0262589 | + | 0.148922i | ||||
\(651\) | −0.271974 | + | 1.54244i | −0.0106595 | + | 0.0604531i | ||||
\(652\) | 2.39053 | + | 4.14052i | 0.0936204 | + | 0.162155i | ||||
\(653\) | −13.4586 | + | 11.2931i | −0.526675 | + | 0.441933i | −0.866951 | − | 0.498393i | \(-0.833924\pi\) |
0.340277 | + | 0.940325i | \(0.389479\pi\) | |||||||
\(654\) | 2.36824 | − | 0.861969i | 0.0926055 | − | 0.0337057i | ||||
\(655\) | 1.30541 | − | 2.26103i | 0.0510065 | − | 0.0883458i | ||||
\(656\) | 3.57398 | + | 6.19031i | 0.139540 | + | 0.241691i | ||||
\(657\) | 19.2271 | + | 16.1335i | 0.750123 | + | 0.629428i | ||||
\(658\) | 5.73783 | − | 9.93821i | 0.223684 | − | 0.387432i | ||||
\(659\) | 5.65389 | + | 32.0648i | 0.220244 | + | 1.24907i | 0.871571 | + | 0.490269i | \(0.163102\pi\) |
−0.651327 | + | 0.758797i | \(0.725787\pi\) | |||||||
\(660\) | −0.189845 | −0.00738971 | ||||||||
\(661\) | 4.07650 | + | 23.1190i | 0.158558 | + | 0.899225i | 0.955461 | + | 0.295118i | \(0.0953590\pi\) |
−0.796903 | + | 0.604107i | \(0.793530\pi\) | |||||||
\(662\) | 6.31386 | − | 5.29796i | 0.245395 | − | 0.205911i | ||||
\(663\) | −0.757122 | − | 0.275570i | −0.0294042 | − | 0.0107022i | ||||
\(664\) | −5.56418 | + | 2.02520i | −0.215932 | + | 0.0785928i | ||||
\(665\) | 0.331815 | 0.0128672 | ||||||||
\(666\) | −17.4932 | + | 0.866025i | −0.677847 | + | 0.0335578i | ||||
\(667\) | −0.326266 | −0.0126331 | ||||||||
\(668\) | −1.88413 | + | 0.685768i | −0.0728993 | + | 0.0265332i | ||||
\(669\) | 5.83022 | + | 2.12203i | 0.225409 | + | 0.0820423i | ||||
\(670\) | 0.473126 | − | 0.397000i | 0.0182784 | − | 0.0153374i | ||||
\(671\) | −9.06418 | − | 51.4055i | −0.349919 | − | 1.98449i | ||||
\(672\) | −0.467911 | −0.0180501 | ||||||||
\(673\) | 2.29989 | + | 13.0433i | 0.0886542 | + | 0.502783i | 0.996508 | + | 0.0834962i | \(0.0266086\pi\) |
−0.907854 | + | 0.419287i | \(0.862280\pi\) | |||||||
\(674\) | 7.01367 | − | 12.1480i | 0.270156 | − | 0.467925i | ||||
\(675\) | 7.79813 | + | 6.54341i | 0.300150 | + | 0.251856i | ||||
\(676\) | 6.20099 | + | 10.7404i | 0.238500 | + | 0.413093i | ||||
\(677\) | −2.69253 | + | 4.66360i | −0.103482 | + | 0.179237i | −0.913117 | − | 0.407697i | \(-0.866332\pi\) |
0.809635 | + | 0.586934i | \(0.199665\pi\) | |||||||
\(678\) | −4.51114 | + | 1.64192i | −0.173249 | + | 0.0630576i | ||||
\(679\) | −10.5699 | + | 8.86916i | −0.405634 | + | 0.340367i | ||||
\(680\) | 0.180922 | + | 0.313366i | 0.00693805 | + | 0.0120171i | ||||
\(681\) | 0.533738 | − | 3.02698i | 0.0204529 | − | 0.115994i | ||||
\(682\) | 2.63429 | − | 14.9398i | 0.100872 | − | 0.572074i | ||||
\(683\) | 19.2547 | + | 16.1566i | 0.736759 | + | 0.618214i | 0.931965 | − | 0.362548i | \(-0.118093\pi\) |
−0.195206 | + | 0.980762i | \(0.562538\pi\) | |||||||
\(684\) | −5.52481 | − | 2.01087i | −0.211247 | − | 0.0768875i | ||||
\(685\) | 0.979055 | + | 0.356347i | 0.0374078 | + | 0.0136153i | ||||
\(686\) | 12.5758 | + | 10.5523i | 0.480146 | + | 0.402890i | ||||
\(687\) | −1.05004 | + | 5.95507i | −0.0400615 | + | 0.227200i | ||||
\(688\) | 1.61721 | − | 9.17166i | 0.0616556 | − | 0.349666i | ||||
\(689\) | 1.07532 | + | 1.86251i | 0.0409665 | + | 0.0709561i | ||||
\(690\) | 0.00181100 | − | 0.00151961i | 6.89436e−5 | − | 5.78505e-5i | ||||
\(691\) | −38.6467 | + | 14.0662i | −1.47019 | + | 0.535105i | −0.948152 | − | 0.317818i | \(-0.897050\pi\) |
−0.522037 | + | 0.852923i | \(0.674828\pi\) | |||||||
\(692\) | 6.89053 | − | 11.9347i | 0.261939 | − | 0.453691i | ||||
\(693\) | 8.79086 | + | 15.2262i | 0.333937 | + | 0.578396i | ||||
\(694\) | −15.2023 | − | 12.7563i | −0.577073 | − | 0.484221i | ||||
\(695\) | −0.808400 | + | 1.40019i | −0.0306644 | + | 0.0531123i | ||||
\(696\) | 0.348641 | + | 1.97724i | 0.0132152 | + | 0.0749470i | ||||
\(697\) | 21.4439 | 0.812244 | ||||||||
\(698\) | −2.98633 | − | 16.9363i | −0.113034 | − | 0.641049i | ||||
\(699\) | −1.11540 | + | 0.935932i | −0.0421883 | + | 0.0354002i | ||||
\(700\) | 6.31180 | + | 2.29731i | 0.238564 | + | 0.0868301i | ||||
\(701\) | −29.1523 | + | 10.6106i | −1.10107 | + | 0.400756i | −0.827709 | − | 0.561157i | \(-0.810356\pi\) |
−0.273357 | + | 0.961913i | \(0.588134\pi\) | |||||||
\(702\) | −1.57903 | −0.0595967 | ||||||||
\(703\) | 12.4051 | − | 0.614134i | 0.467868 | − | 0.0231625i | ||||
\(704\) | 4.53209 | 0.170810 | ||||||||
\(705\) | 0.335275 | − | 0.122030i | 0.0126272 | − | 0.00459592i | ||||
\(706\) | 15.8576 | + | 5.77168i | 0.596807 | + | 0.217220i | ||||
\(707\) | −16.6309 | + | 13.9550i | −0.625469 | + | 0.524831i | ||||
\(708\) | −0.783585 | − | 4.44393i | −0.0294489 | − | 0.167013i | ||||
\(709\) | −19.3773 | −0.727731 | −0.363865 | − | 0.931452i | \(-0.618543\pi\) | ||||
−0.363865 | + | 0.931452i | \(0.618543\pi\) | |||||||
\(710\) | 0.281364 | + | 1.59569i | 0.0105594 | + | 0.0598853i | ||||
\(711\) | 5.97178 | − | 10.3434i | 0.223959 | − | 0.387909i | ||||
\(712\) | −5.83615 | − | 4.89711i | −0.218719 | − | 0.183527i | ||||
\(713\) | 0.0944557 | + | 0.163602i | 0.00353739 | + | 0.00612694i | ||||
\(714\) | −0.701867 | + | 1.21567i | −0.0262667 | + | 0.0454953i | ||||
\(715\) | −0.397231 | + | 0.144580i | −0.0148556 | + | 0.00540699i | ||||
\(716\) | −11.2797 | + | 9.46480i | −0.421543 | + | 0.353716i | ||||
\(717\) | −1.48932 | − | 2.57958i | −0.0556198 | − | 0.0963363i | ||||
\(718\) | 2.79813 | − | 15.8690i | 0.104425 | − | 0.592226i | ||||
\(719\) | −5.30675 | + | 30.0961i | −0.197908 | + | 1.12239i | 0.710307 | + | 0.703892i | \(0.248556\pi\) |
−0.908216 | + | 0.418503i | \(0.862555\pi\) | |||||||
\(720\) | 0.266044 | + | 0.223238i | 0.00991489 | + | 0.00831958i | ||||
\(721\) | 24.8542 | + | 9.04617i | 0.925617 | + | 0.336897i | ||||
\(722\) | −13.9363 | − | 5.07239i | −0.518655 | − | 0.188775i | ||||
\(723\) | −5.56418 | − | 4.66890i | −0.206934 | − | 0.173638i | ||||
\(724\) | −1.89259 | + | 10.7334i | −0.0703375 | + | 0.398904i | ||||
\(725\) | 5.00475 | − | 28.3833i | 0.185872 | − | 1.05413i | ||||
\(726\) | 1.65657 | + | 2.86927i | 0.0614812 | + | 0.106489i | ||||
\(727\) | 39.9843 | − | 33.5508i | 1.48294 | − | 1.24433i | 0.579958 | − | 0.814647i | \(-0.303069\pi\) |
0.902979 | − | 0.429685i | \(-0.141375\pi\) | |||||||
\(728\) | −0.979055 | + | 0.356347i | −0.0362862 | + | 0.0132071i | ||||
\(729\) | 10.3516 | − | 17.9296i | 0.383394 | − | 0.664058i | ||||
\(730\) | 0.525692 | + | 0.910526i | 0.0194567 | + | 0.0337001i | ||||
\(731\) | −21.4029 | − | 17.9591i | −0.791613 | − | 0.664242i | ||||
\(732\) | 2.00000 | − | 3.46410i | 0.0739221 | − | 0.128037i | ||||
\(733\) | 0.211829 | + | 1.20134i | 0.00782408 | + | 0.0443726i | 0.988470 | − | 0.151418i | \(-0.0483839\pi\) |
−0.980646 | + | 0.195790i | \(0.937273\pi\) | |||||||
\(734\) | 35.0823 | 1.29491 | ||||||||
\(735\) | 0.0377140 | + | 0.213887i | 0.00139110 | + | 0.00788933i | ||||
\(736\) | −0.0432332 | + | 0.0362770i | −0.00159360 | + | 0.00133719i | ||||
\(737\) | −21.8075 | − | 7.93729i | −0.803290 | − | 0.292374i | ||||
\(738\) | 19.3405 | − | 7.03936i | 0.711933 | − | 0.259123i | ||||
\(739\) | −2.61318 | −0.0961273 | −0.0480637 | − | 0.998844i | \(-0.515305\pi\) | ||||
−0.0480637 | + | 0.998844i | \(0.515305\pi\) | |||||||
\(740\) | −0.700989 | − | 0.216534i | −0.0257689 | − | 0.00795995i | ||||
\(741\) | 0.548392 | 0.0201457 | ||||||||
\(742\) | 3.52094 | − | 1.28152i | 0.129258 | − | 0.0470460i | ||||
\(743\) | 21.1989 | + | 7.71578i | 0.777713 | + | 0.283064i | 0.700219 | − | 0.713928i | \(-0.253086\pi\) |
0.0774945 | + | 0.996993i | \(0.475308\pi\) | |||||||
\(744\) | 0.890530 | − | 0.747243i | 0.0326484 | − | 0.0273953i | ||||
\(745\) | −0.0920916 | − | 0.522277i | −0.00337397 | − | 0.0191348i | ||||
\(746\) | 29.6955 | 1.08723 | ||||||||
\(747\) | 2.96064 | + | 16.7906i | 0.108324 | + | 0.614336i | ||||
\(748\) | 6.79813 | − | 11.7747i | 0.248564 | − | 0.430526i | ||||
\(749\) | −0.658633 | − | 0.552659i | −0.0240659 | − | 0.0201937i | ||||
\(750\) | 0.209141 | + | 0.362242i | 0.00763674 | + | 0.0132272i | ||||
\(751\) | −21.3346 | + | 36.9525i | −0.778509 | + | 1.34842i | 0.154292 | + | 0.988025i | \(0.450690\pi\) |
−0.932801 | + | 0.360392i | \(0.882643\pi\) | |||||||
\(752\) | −8.00387 | + | 2.91317i | −0.291871 | + | 0.106232i | ||||
\(753\) | 1.80793 | − | 1.51704i | 0.0658848 | − | 0.0552839i | ||||
\(754\) | 2.23530 | + | 3.87165i | 0.0814048 | + | 0.140997i | ||||
\(755\) | −0.308811 | + | 1.75135i | −0.0112388 | + | 0.0637383i | ||||
\(756\) | −0.477711 | + | 2.70924i | −0.0173742 | + | 0.0985339i | ||||
\(757\) | −17.8610 | − | 14.9871i | −0.649168 | − | 0.544717i | 0.257650 | − | 0.966238i | \(-0.417052\pi\) |
−0.906818 | + | 0.421522i | \(0.861496\pi\) | |||||||
\(758\) | 0.393933 | + | 0.143380i | 0.0143083 | + | 0.00520779i | ||||
\(759\) | −0.0834734 | − | 0.0303818i | −0.00302989 | − | 0.00110279i | ||||
\(760\) | −0.188663 | − | 0.158307i | −0.00684352 | − | 0.00574240i | ||||
\(761\) | −0.714822 | + | 4.05396i | −0.0259123 | + | 0.146956i | −0.995019 | − | 0.0996862i | \(-0.968216\pi\) |
0.969107 | + | 0.246642i | \(0.0793272\pi\) | |||||||
\(762\) | −0.730552 | + | 4.14317i | −0.0264651 | + | 0.150091i | ||||
\(763\) | −4.88847 | − | 8.46708i | −0.176975 | − | 0.306529i | ||||
\(764\) | 6.93835 | − | 5.82197i | 0.251021 | − | 0.210631i | ||||
\(765\) | 0.979055 | − | 0.356347i | 0.0353978 | − | 0.0128838i | ||||
\(766\) | −3.21419 | + | 5.56715i | −0.116134 | + | 0.201149i | ||||
\(767\) | −5.02394 | − | 8.70172i | −0.181404 | − | 0.314201i | ||||
\(768\) | 0.266044 | + | 0.223238i | 0.00960005 | + | 0.00805540i | ||||
\(769\) | −3.09017 | + | 5.35234i | −0.111435 | + | 0.193010i | −0.916349 | − | 0.400381i | \(-0.868878\pi\) |
0.804914 | + | 0.593391i | \(0.202211\pi\) | |||||||
\(770\) | 0.127889 | + | 0.725293i | 0.00460879 | + | 0.0261377i | ||||
\(771\) | −3.43201 | −0.123601 | ||||||||
\(772\) | 2.18614 | + | 12.3982i | 0.0786808 | + | 0.446221i | ||||
\(773\) | 13.8773 | − | 11.6445i | 0.499133 | − | 0.418822i | −0.358153 | − | 0.933663i | \(-0.616593\pi\) |
0.857286 | + | 0.514841i | \(0.172149\pi\) | |||||||
\(774\) | −25.1989 | − | 9.17166i | −0.905757 | − | 0.329669i | ||||
\(775\) | −15.6814 | + | 5.70756i | −0.563292 | + | 0.205022i | ||||
\(776\) | 10.2412 | 0.367639 | ||||||||
\(777\) | −0.632226 | − | 2.77509i | −0.0226810 | − | 0.0995556i | ||||
\(778\) | 3.11381 | 0.111635 | ||||||||
\(779\) | −13.7151 | + | 4.99190i | −0.491395 | + | 0.178853i | ||||
\(780\) | −0.0304400 | − | 0.0110793i | −0.00108993 | − | 0.000396701i | ||||
\(781\) | 46.6391 | − | 39.1348i | 1.66888 | − | 1.40035i | ||||
\(782\) | 0.0294005 | + | 0.166739i | 0.00105136 | + | 0.00596257i | ||||
\(783\) | 11.8043 | 0.421851 | ||||||||
\(784\) | −0.900330 | − | 5.10602i | −0.0321546 | − | 0.182358i | ||||
\(785\) | −0.943974 | + | 1.63501i | −0.0336919 | + | 0.0583560i | ||||
\(786\) | −5.75877 | − | 4.83218i | −0.205409 | − | 0.172358i | ||||
\(787\) | 13.9602 | + | 24.1798i | 0.497628 | + | 0.861918i | 0.999996 | − | 0.00273640i | \(-0.000871024\pi\) |
−0.502368 | + | 0.864654i | \(0.667538\pi\) | |||||||
\(788\) | 5.96838 | − | 10.3375i | 0.212615 | − | 0.368259i | ||||
\(789\) | 6.73947 | − | 2.45297i | 0.239932 | − | 0.0873280i | ||||
\(790\) | 0.383256 | − | 0.321590i | 0.0136356 | − | 0.0114416i | ||||
\(791\) | 9.31180 | + | 16.1285i | 0.331090 | + | 0.573464i | ||||
\(792\) | 2.26604 | − | 12.8514i | 0.0805204 | − | 0.456654i | ||||
\(793\) | 1.54664 | − | 8.77141i | 0.0549227 | − | 0.311482i | ||||
\(794\) | −15.0967 | − | 12.6677i | −0.535763 | − | 0.449559i | ||||
\(795\) | 0.109470 | + | 0.0398440i | 0.00388252 | + | 0.00141312i | ||||
\(796\) | −2.15270 | − | 0.783520i | −0.0763006 | − | 0.0277711i | ||||
\(797\) | −1.51114 | − | 1.26800i | −0.0535275 | − | 0.0449149i | 0.615631 | − | 0.788034i | \(-0.288901\pi\) |
−0.669159 | + | 0.743119i | \(0.733345\pi\) | |||||||
\(798\) | 0.165907 | − | 0.940908i | 0.00587306 | − | 0.0333078i | ||||
\(799\) | −4.43717 | + | 25.1644i | −0.156976 | + | 0.890253i | ||||
\(800\) | −2.49273 | − | 4.31753i | −0.0881312 | − | 0.152648i | ||||
\(801\) | −16.8045 | + | 14.1007i | −0.593759 | + | 0.498223i | ||||
\(802\) | 17.7754 | − | 6.46973i | 0.627672 | − | 0.228454i | ||||
\(803\) | 19.7528 | − | 34.2129i | 0.697063 | − | 1.20735i | ||||
\(804\) | −0.889185 | − | 1.54011i | −0.0313592 | − | 0.0543156i | ||||
\(805\) | −0.00702557 | − | 0.00589515i | −0.000247619 | − | 0.000207777i | ||||
\(806\) | 1.29426 | − | 2.24173i | 0.0455885 | − | 0.0789615i | ||||
\(807\) | 1.66607 | + | 9.44875i | 0.0586484 | + | 0.332612i | ||||
\(808\) | 16.1138 | 0.566882 | ||||||||
\(809\) | 2.72699 | + | 15.4655i | 0.0958757 | + | 0.543738i | 0.994475 | + | 0.104969i | \(0.0334743\pi\) |
−0.898600 | + | 0.438769i | \(0.855415\pi\) | |||||||
\(810\) | 0.732611 | − | 0.614734i | 0.0257413 | − | 0.0215995i | ||||
\(811\) | 38.0984 | + | 13.8667i | 1.33782 | + | 0.486925i | 0.909124 | − | 0.416526i | \(-0.136753\pi\) |
0.428691 | + | 0.903451i | \(0.358975\pi\) | |||||||
\(812\) | 7.31908 | − | 2.66393i | 0.256849 | − | 0.0934855i | ||||
\(813\) | 2.37639 | 0.0833437 | ||||||||
\(814\) | 6.12361 | + | 26.8789i | 0.214632 | + | 0.942105i | ||||
\(815\) | 0.576666 | 0.0201997 | ||||||||
\(816\) | 0.979055 | − | 0.356347i | 0.0342738 | − | 0.0124746i | ||||
\(817\) | 17.8696 | + | 6.50400i | 0.625178 | + | 0.227546i | ||||
\(818\) | −4.88326 | + | 4.09754i | −0.170739 | + | 0.143267i | ||||
\(819\) | 0.520945 | + | 2.95442i | 0.0182033 | + | 0.103236i | ||||
\(820\) | 0.862149 | 0.0301075 | ||||||||
\(821\) | −1.73190 | − | 9.82207i | −0.0604436 | − | 0.342793i | −1.00000 | 0.000398276i | \(-0.999873\pi\) | |
0.939556 | − | 0.342394i | \(-0.111238\pi\) | |||||||
\(822\) | 1.50000 | − | 2.59808i | 0.0523185 | − | 0.0906183i | ||||
\(823\) | −8.12180 | − | 6.81500i | −0.283108 | − | 0.237556i | 0.490164 | − | 0.871630i | \(-0.336937\pi\) |
−0.773272 | + | 0.634074i | \(0.781381\pi\) | |||||||
\(824\) | −9.81567 | − | 17.0012i | −0.341945 | − | 0.592266i | ||||
\(825\) | 3.92350 | − | 6.79569i | 0.136599 | − | 0.236596i | ||||
\(826\) | −16.4500 | + | 5.98730i | −0.572367 | + | 0.208325i | ||||
\(827\) | 19.3195 | − | 16.2110i | 0.671806 | − | 0.563712i | −0.241793 | − | 0.970328i | \(-0.577736\pi\) |
0.913599 | + | 0.406615i | \(0.133291\pi\) | |||||||
\(828\) | 0.0812519 | + | 0.140732i | 0.00282370 | + | 0.00489079i | ||||
\(829\) | 0.950532 | − | 5.39074i | 0.0330134 | − | 0.187228i | −0.963842 | − | 0.266476i | \(-0.914141\pi\) |
0.996855 | + | 0.0792478i | \(0.0252519\pi\) | |||||||
\(830\) | −0.124018 | + | 0.703343i | −0.00430474 | + | 0.0244134i | ||||
\(831\) | −6.34065 | − | 5.32044i | −0.219955 | − | 0.184564i | ||||
\(832\) | 0.726682 | + | 0.264490i | 0.0251932 | + | 0.00916956i | ||||
\(833\) | −14.6163 | − | 5.31991i | −0.506426 | − | 0.184324i | ||||
\(834\) | 3.56624 | + | 2.99243i | 0.123489 | + | 0.103619i | ||||
\(835\) | −0.0419949 | + | 0.238165i | −0.00145329 | + | 0.00824203i | ||||
\(836\) | −1.60694 | + | 9.11343i | −0.0555773 | + | 0.315195i | ||||
\(837\) | −3.41740 | − | 5.91912i | −0.118123 | − | 0.204595i | ||||
\(838\) | −15.9991 | + | 13.4249i | −0.552681 | + | 0.463754i | ||||
\(839\) | −12.7046 | + | 4.62408i | −0.438610 | + | 0.159641i | −0.551880 | − | 0.833923i | \(-0.686090\pi\) |
0.113271 | + | 0.993564i | \(0.463867\pi\) | |||||||
\(840\) | −0.0282185 | + | 0.0488759i | −0.000973631 | + | 0.00168638i | ||||
\(841\) | −2.21032 | − | 3.82839i | −0.0762180 | − | 0.132013i | ||||
\(842\) | 4.44949 | + | 3.73357i | 0.153340 | + | 0.128667i | ||||
\(843\) | −5.51367 | + | 9.54996i | −0.189901 | + | 0.328918i | ||||
\(844\) | 0.165907 | + | 0.940908i | 0.00571077 | + | 0.0323874i | ||||
\(845\) | 1.49586 | 0.0514592 | ||||||||
\(846\) | 4.25877 | + | 24.1527i | 0.146420 | + | 0.830387i | ||||
\(847\) | 9.84595 | − | 8.26173i | 0.338311 | − | 0.283877i | ||||
\(848\) | −2.61334 | − | 0.951178i | −0.0897425 | − | 0.0326636i | ||||
\(849\) | 1.92855 | − | 0.701934i | 0.0661876 | − | 0.0240903i | ||||
\(850\) | −14.9564 | −0.512999 | ||||||||
\(851\) | −0.273567 | − | 0.207391i | −0.00937775 | − | 0.00710928i | ||||
\(852\) | 4.66550 | 0.159837 | ||||||||
\(853\) | 21.2570 | − | 7.73692i | 0.727826 | − | 0.264907i | 0.0485819 | − | 0.998819i | \(-0.484530\pi\) |
0.679244 | + | 0.733912i | \(0.262308\pi\) | |||||||
\(854\) | −14.5817 | − | 5.30731i | −0.498976 | − | 0.181612i | ||||
\(855\) | −0.543233 | + | 0.455827i | −0.0185782 | + | 0.0155889i | ||||
\(856\) | 0.110815 | + | 0.628461i | 0.00378756 | + | 0.0214803i | ||||
\(857\) | −28.4148 | −0.970630 | −0.485315 | − | 0.874339i | \(-0.661295\pi\) | ||||
−0.485315 | + | 0.874339i | \(0.661295\pi\) | |||||||
\(858\) | 0.211362 | + | 1.19869i | 0.00721578 | + | 0.0409227i | ||||
\(859\) | −11.2618 | + | 19.5059i | −0.384246 | + | 0.665534i | −0.991664 | − | 0.128848i | \(-0.958872\pi\) |
0.607418 | + | 0.794382i | \(0.292205\pi\) | |||||||
\(860\) | −0.860500 | − | 0.722045i | −0.0293428 | − | 0.0246215i | ||||
\(861\) | 1.67230 | + | 2.89652i | 0.0569920 | + | 0.0987130i | ||||
\(862\) | 5.68004 | − | 9.83813i | 0.193463 | − | 0.335088i | ||||
\(863\) | 9.35282 | − | 3.40415i | 0.318374 | − | 0.115878i | −0.177890 | − | 0.984050i | \(-0.556927\pi\) |
0.496264 | + | 0.868172i | \(0.334705\pi\) | |||||||
\(864\) | 1.56418 | − | 1.31250i | 0.0532144 | − | 0.0446522i | ||||
\(865\) | −0.831100 | − | 1.43951i | −0.0282582 | − | 0.0489447i | ||||
\(866\) | −6.18273 | + | 35.0640i | −0.210098 | + | 1.19152i | ||||
\(867\) | −0.482459 | + | 2.73616i | −0.0163852 | + | 0.0929249i | ||||
\(868\) | −3.45471 | − | 2.89884i | −0.117260 | − | 0.0983932i | ||||
\(869\) | −17.6652 | − | 6.42960i | −0.599251 | − | 0.218109i | ||||
\(870\) | 0.227559 | + | 0.0828247i | 0.00771497 | + | 0.00280802i | ||||
\(871\) | −3.03343 | − | 2.54535i | −0.102784 | − | 0.0862460i | ||||
\(872\) | −1.26011 | + | 7.14647i | −0.0426729 | + | 0.242010i | ||||
\(873\) | 5.12061 | − | 29.0404i | 0.173307 | − | 0.982870i | ||||
\(874\) | −0.0576190 | − | 0.0997991i | −0.00194899 | − | 0.00337575i | ||||
\(875\) | 1.24304 | − | 1.04303i | 0.0420224 | − | 0.0352610i | ||||
\(876\) | 2.84477 | − | 1.03541i | 0.0961159 | − | 0.0349833i | ||||
\(877\) | −22.0021 | + | 38.1088i | −0.742959 | + | 1.28684i | 0.208184 | + | 0.978090i | \(0.433245\pi\) |
−0.951142 | + | 0.308752i | \(0.900089\pi\) | |||||||
\(878\) | 11.2520 | + | 19.4890i | 0.379735 | + | 0.657721i | ||||
\(879\) | −0.450837 | − | 0.378297i | −0.0152064 | − | 0.0127596i | ||||
\(880\) | 0.273318 | − | 0.473401i | 0.00921356 | − | 0.0159584i | ||||
\(881\) | −2.13862 | − | 12.1287i | −0.0720520 | − | 0.408627i | −0.999407 | − | 0.0344437i | \(-0.989034\pi\) |
0.927355 | − | 0.374184i | \(-0.122077\pi\) | |||||||
\(882\) | −14.9290 | −0.502686 | ||||||||
\(883\) | 3.77244 | + | 21.3946i | 0.126953 | + | 0.719985i | 0.980129 | + | 0.198362i | \(0.0635621\pi\) |
−0.853176 | + | 0.521623i | \(0.825327\pi\) | |||||||
\(884\) | 1.77719 | − | 1.49124i | 0.0597733 | − | 0.0501558i | ||||
\(885\) | −0.511449 | − | 0.186152i | −0.0171922 | − | 0.00625744i | ||||
\(886\) | −24.5205 | + | 8.92474i | −0.823783 | + | 0.299833i | ||||
\(887\) | 10.7145 | 0.359758 | 0.179879 | − | 0.983689i | \(-0.442429\pi\) | ||||
0.179879 | + | 0.983689i | \(0.442429\pi\) | |||||||
\(888\) | −0.964508 | + | 1.87949i | −0.0323668 | + | 0.0630715i | ||||
\(889\) | 16.3209 | 0.547385 | ||||||||
\(890\) | −0.863493 | + | 0.314286i | −0.0289444 | + | 0.0105349i | ||||
\(891\) | −33.7679 | − | 12.2905i | −1.13127 | − | 0.411747i | ||||
\(892\) | −13.6853 | + | 11.4833i | −0.458216 | + | 0.384489i | ||||
\(893\) | −3.02007 | − | 17.1277i | −0.101063 | − | 0.573155i | ||||
\(894\) | −1.52704 | −0.0510717 | ||||||||
\(895\) | 0.308400 | + | 1.74903i | 0.0103087 | + | 0.0584635i | ||||
\(896\) | 0.673648 | − | 1.16679i | 0.0225050 | − | 0.0389798i | ||||
\(897\) | −0.0116112 | − | 0.00974294i | −0.000387686 | − | 0.000325307i | ||||
\(898\) | −3.26264 | − | 5.65106i | −0.108876 | − | 0.188578i | ||||
\(899\) | −9.67546 | + | 16.7584i | −0.322695 | + | 0.558923i | ||||
\(900\) | −13.4893 | + | 4.90971i | −0.449644 | + | 0.163657i | ||||
\(901\) | −6.39124 | + | 5.36289i | −0.212923 | + | 0.178664i | ||||
\(902\) | −16.1976 | − | 28.0550i | −0.539321 | − | 0.934131i | ||||
\(903\) | 0.756711 | − | 4.29152i | 0.0251818 | − | 0.142813i | ||||
\(904\) | 2.40033 | − | 13.6129i | 0.0798338 | − | 0.452760i | ||||
\(905\) | 1.00703 | + | 0.844995i | 0.0334747 | + | 0.0280886i | ||||
\(906\) | 4.81180 | + | 1.75135i | 0.159861 | + | 0.0581848i | ||||
\(907\) | −17.1122 | − | 6.22832i | −0.568200 | − | 0.206808i | 0.0419145 | − | 0.999121i | \(-0.486654\pi\) |
−0.610114 | + | 0.792313i | \(0.708877\pi\) | |||||||
\(908\) | 6.77972 | + | 5.68886i | 0.224993 | + | 0.188791i | ||||
\(909\) | 8.05690 | − | 45.6930i | 0.267231 | − | 1.51554i | ||||
\(910\) | −0.0218219 | + | 0.123758i | −0.000723388 | + | 0.00410254i | ||||
\(911\) | −10.3072 | − | 17.8526i | −0.341493 | − | 0.591484i | 0.643217 | − | 0.765684i | \(-0.277599\pi\) |
−0.984710 | + | 0.174200i | \(0.944266\pi\) | |||||||
\(912\) | −0.543233 | + | 0.455827i | −0.0179883 | + | 0.0150939i | ||||
\(913\) | 25.2173 | − | 9.17836i | 0.834572 | − | 0.303760i | ||||
\(914\) | −16.3721 | + | 28.3573i | −0.541541 | + | 0.937977i | ||||
\(915\) | −0.241230 | − | 0.417822i | −0.00797480 | − | 0.0138128i | ||||
\(916\) | −13.3380 | − | 11.1919i | −0.440699 | − | 0.369790i | ||||
\(917\) | −14.5817 | + | 25.2563i | −0.481531 | + | 0.834036i | ||||
\(918\) | −1.06371 | − | 6.03260i | −0.0351077 | − | 0.199106i | ||||
\(919\) | −25.1462 | −0.829497 | −0.414748 | − | 0.909936i | \(-0.636130\pi\) | ||||
−0.414748 | + | 0.909936i | \(0.636130\pi\) | |||||||
\(920\) | 0.00118205 | + | 0.00670372i | 3.89709e−5 | + | 0.000221015i | ||||
\(921\) | −3.25284 | + | 2.72946i | −0.107185 | + | 0.0899387i | ||||
\(922\) | 18.3662 | + | 6.68474i | 0.604858 | + | 0.220150i | ||||
\(923\) | 9.76207 | − | 3.55310i | 0.321322 | − | 0.116952i | ||||
\(924\) | 2.12061 | 0.0697631 | ||||||||
\(925\) | 22.2383 | − | 20.6176i | 0.731191 | − | 0.677901i | ||||
\(926\) | −42.8803 | −1.40913 | ||||||||
\(927\) | −53.1173 | + | 19.3331i | −1.74460 | + | 0.634982i | ||||
\(928\) | −5.43242 | − | 1.97724i | −0.178328 | − | 0.0649060i | ||||
\(929\) | −23.1912 | + | 19.4597i | −0.760878 | + | 0.638453i | −0.938355 | − | 0.345672i | \(-0.887651\pi\) |
0.177477 | + | 0.984125i | \(0.443206\pi\) | |||||||
\(930\) | −0.0243481 | − | 0.138085i | −0.000798406 | − | 0.00452798i | ||||
\(931\) | 10.5868 | 0.346967 | ||||||||
\(932\) | −0.728026 | − | 4.12884i | −0.0238473 | − | 0.135245i | ||||
\(933\) | 0.212134 | − | 0.367426i | 0.00694494 | − | 0.0120290i | ||||
\(934\) | −16.1550 | − | 13.5556i | −0.528607 | − | 0.443554i | ||||
\(935\) | −0.819955 | − | 1.42020i | −0.0268154 | − | 0.0464456i | ||||
\(936\) | 1.11334 | − | 1.92836i | 0.0363907 | − | 0.0630305i | ||||
\(937\) | 15.1686 | − | 5.52092i | 0.495536 | − | 0.180361i | −0.0821489 | − | 0.996620i | \(-0.526178\pi\) |
0.577685 | + | 0.816260i | \(0.303956\pi\) | |||||||
\(938\) | −5.28493 | + | 4.43458i | −0.172559 | + | 0.144794i | ||||
\(939\) | 3.02347 | + | 5.23680i | 0.0986672 | + | 0.170897i | ||||
\(940\) | −0.178396 | + | 1.01173i | −0.00581863 | + | 0.0329991i | ||||
\(941\) | 1.70733 | − | 9.68275i | 0.0556574 | − | 0.315649i | −0.944250 | − | 0.329228i | \(-0.893212\pi\) |
0.999908 | + | 0.0135795i | \(0.00432262\pi\) | |||||||
\(942\) | 4.16431 | + | 3.49428i | 0.135681 | + | 0.113850i | ||||
\(943\) | 0.379081 | + | 0.137974i | 0.0123446 | + | 0.00449305i | ||||
\(944\) | 12.2096 | + | 4.44393i | 0.397389 | + | 0.144638i | ||||
\(945\) | 0.254185 | + | 0.213286i | 0.00826863 | + | 0.00693821i | ||||
\(946\) | −7.32934 | + | 41.5668i | −0.238298 | + | 1.35145i | ||||
\(947\) | −9.23695 | + | 52.3853i | −0.300160 | + | 1.70229i | 0.345293 | + | 0.938495i | \(0.387780\pi\) |
−0.645453 | + | 0.763800i | \(0.723331\pi\) | |||||||
\(948\) | −0.720285 | − | 1.24757i | −0.0233938 | − | 0.0405192i | ||||
\(949\) | 5.16385 | − | 4.33298i | 0.167626 | − | 0.140655i | ||||
\(950\) | 9.56583 | − | 3.48168i | 0.310356 | − | 0.112960i | ||||
\(951\) | 1.51027 | − | 2.61586i | 0.0489738 | − | 0.0848250i | ||||
\(952\) | −2.02094 | − | 3.50038i | −0.0654992 | − | 0.113448i | ||||
\(953\) | 37.4181 | + | 31.3975i | 1.21209 | + | 1.01706i | 0.999200 | + | 0.0399889i | \(0.0127323\pi\) |
0.212891 | + | 0.977076i | \(0.431712\pi\) | |||||||
\(954\) | −4.00387 | + | 6.93491i | −0.129630 | + | 0.224526i | ||||
\(955\) | −0.189702 | − | 1.07586i | −0.00613863 | − | 0.0348139i | ||||
\(956\) | 8.57667 | 0.277389 | ||||||||
\(957\) | −1.58007 | − | 8.96102i | −0.0510764 | − | 0.289669i | ||||
\(958\) | 18.5403 | − | 15.5572i | 0.599010 | − | 0.502629i | ||||
\(959\) | −10.9363 | − | 3.98048i | −0.353151 | − | 0.128537i | ||||
\(960\) | 0.0393628 | − | 0.0143269i | 0.00127043 | − | 0.000462399i | ||||
\(961\) | −19.7956 | −0.638568 | ||||||||
\(962\) | −0.586771 | + | 4.66717i | −0.0189183 | + | 0.150476i | ||||
\(963\) | 1.83750 | 0.0592125 | ||||||||
\(964\) | 19.6532 | − | 7.15317i | 0.632986 | − | 0.230388i | ||||
\(965\) | 1.42690 | + | 0.519349i | 0.0459335 | + | 0.0167184i | ||||
\(966\) | −0.0202293 | + | 0.0169744i | −0.000650867 | + | 0.000546143i | ||||
\(967\) | 1.45646 | + | 8.26001i | 0.0468367 | + | 0.265624i | 0.999229 | − | 0.0392499i | \(-0.0124968\pi\) |
−0.952393 | + | 0.304874i | \(0.901386\pi\) | |||||||
\(968\) | −9.53983 | −0.306622 | ||||||||
\(969\) | 0.369423 | + | 2.09510i | 0.0118676 | + | 0.0673044i | ||||
\(970\) | 0.617622 | − | 1.06975i | 0.0198306 | − | 0.0343477i | ||||
\(971\) | 31.6771 | + | 26.5802i | 1.01657 | + | 0.853001i | 0.989192 | − | 0.146624i | \(-0.0468409\pi\) |
0.0273745 | + | 0.999625i | \(0.491285\pi\) | |||||||
\(972\) | −4.43969 | − | 7.68977i | −0.142403 | − | 0.246650i | ||||
\(973\) | 9.03003 | − | 15.6405i | 0.289489 | − | 0.501410i | ||||
\(974\) | 27.2212 | − | 9.90771i | 0.872224 | − | 0.317464i | ||||
\(975\) | 1.02569 | − | 0.860658i | 0.0328484 | − | 0.0275631i | ||||
\(976\) | 5.75877 | + | 9.97448i | 0.184334 | + | 0.319275i | ||||
\(977\) | 8.39662 | − | 47.6196i | 0.268632 | − | 1.52349i | −0.489859 | − | 0.871802i | \(-0.662952\pi\) |
0.758490 | − | 0.651684i | \(-0.225937\pi\) | |||||||
\(978\) | 0.288333 | − | 1.63522i | 0.00921988 | − | 0.0522885i | ||||
\(979\) | 26.4500 | + | 22.1942i | 0.845344 | + | 0.709328i | ||||
\(980\) | −0.587649 | − | 0.213887i | −0.0187717 | − | 0.00683236i | ||||
\(981\) | 19.6348 | + | 7.14647i | 0.626889 | + | 0.228169i | ||||
\(982\) | 21.5654 | + | 18.0955i | 0.688178 | + | 0.577450i | ||||
\(983\) | 9.44150 | − | 53.5454i | 0.301137 | − | 1.70783i | −0.340015 | − | 0.940420i | \(-0.610432\pi\) |
0.641152 | − | 0.767414i | \(-0.278457\pi\) | |||||||
\(984\) | 0.431074 | − | 2.44474i | 0.0137422 | − | 0.0779356i | ||||
\(985\) | −0.719874 | − | 1.24686i | −0.0229371 | − | 0.0397282i | ||||
\(986\) | −13.2856 | + | 11.1480i | −0.423101 | + | 0.355024i | ||||
\(987\) | −3.74510 | + | 1.36310i | −0.119208 | + | 0.0433881i | ||||
\(988\) | −0.789515 | + | 1.36748i | −0.0251178 | + | 0.0435053i | ||||
\(989\) | −0.262803 | − | 0.455188i | −0.00835665 | − | 0.0144741i | ||||
\(990\) | −1.20574 | − | 1.01173i | −0.0383208 | − | 0.0321550i | ||||
\(991\) | 15.9436 | − | 27.6151i | 0.506464 | − | 0.877221i | −0.493508 | − | 0.869741i | \(-0.664286\pi\) |
0.999972 | − | 0.00748010i | \(-0.00238101\pi\) | |||||||
\(992\) | 0.581252 | + | 3.29644i | 0.0184548 | + | 0.104662i | ||||
\(993\) | −2.86247 | −0.0908378 | ||||||||
\(994\) | −3.14290 | − | 17.8243i | −0.0996868 | − | 0.565352i | ||||
\(995\) | −0.211667 | + | 0.177610i | −0.00671029 | + | 0.00563060i | ||||
\(996\) | 1.93242 | + | 0.703343i | 0.0612310 | + | 0.0222863i | ||||
\(997\) | 0.490505 | − | 0.178529i | 0.0155344 | − | 0.00565407i | −0.334241 | − | 0.942488i | \(-0.608480\pi\) |
0.349776 | + | 0.936833i | \(0.386258\pi\) | |||||||
\(998\) | 4.68510 | 0.148304 | ||||||||
\(999\) | 9.89764 | + | 7.50341i | 0.313148 | + | 0.237397i |
(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 | 74.2.f.a.7.1 | ✓ | 6 | |
3.2 | odd | 2 | 666.2.x.c.451.1 | 6 | |||
4.3 | odd | 2 | 592.2.bc.b.81.1 | 6 | |||
37.4 | even | 18 | 2738.2.a.p.1.2 | 3 | |||
37.16 | even | 9 | inner | 74.2.f.a.53.1 | yes | 6 | |
37.33 | even | 9 | 2738.2.a.m.1.2 | 3 | |||
111.53 | odd | 18 | 666.2.x.c.127.1 | 6 | |||
148.127 | odd | 18 | 592.2.bc.b.497.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.a.7.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
74.2.f.a.53.1 | yes | 6 | 37.16 | even | 9 | inner | |
592.2.bc.b.81.1 | 6 | 4.3 | odd | 2 | |||
592.2.bc.b.497.1 | 6 | 148.127 | odd | 18 | |||
666.2.x.c.127.1 | 6 | 111.53 | odd | 18 | |||
666.2.x.c.451.1 | 6 | 3.2 | odd | 2 | |||
2738.2.a.m.1.2 | 3 | 37.33 | even | 9 | |||
2738.2.a.p.1.2 | 3 | 37.4 | even | 18 |