Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 76.2 | ||
Character | \(\chi\) | \(=\) | 177.76 |
Dual form | 177.2.e.b.7.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{20}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.492250 | + | 0.726014i | −0.348073 | + | 0.513370i | −0.960918 | − | 0.276834i | \(-0.910715\pi\) |
0.612845 | + | 0.790203i | \(0.290025\pi\) | |||||||
\(3\) | −0.0541389 | − | 0.998533i | −0.0312571 | − | 0.576504i | ||||
\(4\) | 0.455490 | + | 1.14319i | 0.227745 | + | 0.571596i | ||||
\(5\) | −3.82749 | − | 1.77078i | −1.71170 | − | 0.791919i | −0.995577 | − | 0.0939499i | \(-0.970051\pi\) |
−0.716128 | − | 0.697969i | \(-0.754087\pi\) | |||||||
\(6\) | 0.751599 | + | 0.452222i | 0.306839 | + | 0.184619i | ||||
\(7\) | −1.35341 | − | 4.87453i | −0.511540 | − | 1.84240i | −0.538294 | − | 0.842757i | \(-0.680931\pi\) |
0.0267548 | − | 0.999642i | \(-0.491483\pi\) | |||||||
\(8\) | −2.76749 | − | 0.609171i | −0.978456 | − | 0.215374i | ||||
\(9\) | −0.994138 | + | 0.108119i | −0.331379 | + | 0.0360397i | ||||
\(10\) | 3.16970 | − | 1.90714i | 1.00235 | − | 0.603091i | ||||
\(11\) | 1.54377 | + | 1.46233i | 0.465463 | + | 0.440910i | 0.884138 | − | 0.467226i | \(-0.154747\pi\) |
−0.418675 | + | 0.908136i | \(0.637505\pi\) | |||||||
\(12\) | 1.11686 | − | 0.516713i | 0.322409 | − | 0.149162i | ||||
\(13\) | 1.12276 | + | 0.122107i | 0.311398 | + | 0.0338665i | 0.262484 | − | 0.964936i | \(-0.415458\pi\) |
0.0489140 | + | 0.998803i | \(0.484424\pi\) | |||||||
\(14\) | 4.20519 | + | 1.41689i | 1.12388 | + | 0.378681i | ||||
\(15\) | −1.56097 | + | 3.91774i | −0.403041 | + | 1.01156i | ||||
\(16\) | 0.0177533 | − | 0.0168169i | 0.00443834 | − | 0.00420422i | ||||
\(17\) | 0.0667612 | − | 0.240452i | 0.0161920 | − | 0.0583182i | −0.955013 | − | 0.296565i | \(-0.904159\pi\) |
0.971205 | + | 0.238247i | \(0.0765727\pi\) | |||||||
\(18\) | 0.410868 | − | 0.774980i | 0.0968426 | − | 0.182665i | ||||
\(19\) | −2.30089 | − | 1.74909i | −0.527860 | − | 0.401269i | 0.307018 | − | 0.951704i | \(-0.400669\pi\) |
−0.834878 | + | 0.550435i | \(0.814462\pi\) | |||||||
\(20\) | 0.280967 | − | 5.18213i | 0.0628261 | − | 1.15876i | ||||
\(21\) | −4.79411 | + | 1.61532i | −1.04616 | + | 0.352492i | ||||
\(22\) | −1.82159 | + | 0.400963i | −0.388365 | + | 0.0854856i | ||||
\(23\) | −2.78087 | − | 5.24528i | −0.579852 | − | 1.09372i | −0.983856 | − | 0.178960i | \(-0.942727\pi\) |
0.404004 | − | 0.914757i | \(-0.367618\pi\) | |||||||
\(24\) | −0.458448 | + | 2.79641i | −0.0935804 | + | 0.570815i | ||||
\(25\) | 8.27706 | + | 9.74451i | 1.65541 | + | 1.94890i | ||||
\(26\) | −0.641330 | + | 0.755032i | −0.125775 | + | 0.148074i | ||||
\(27\) | 0.161782 | + | 0.986827i | 0.0311350 | + | 0.189915i | ||||
\(28\) | 4.95606 | − | 3.76750i | 0.936608 | − | 0.711991i | ||||
\(29\) | 1.49567 | + | 2.20594i | 0.277738 | + | 0.409633i | 0.940816 | − | 0.338917i | \(-0.110061\pi\) |
−0.663078 | + | 0.748550i | \(0.730750\pi\) | |||||||
\(30\) | −2.07595 | − | 3.06180i | −0.379015 | − | 0.559005i | ||||
\(31\) | 1.38038 | − | 1.04934i | 0.247923 | − | 0.188466i | −0.473831 | − | 0.880616i | \(-0.657129\pi\) |
0.721754 | + | 0.692150i | \(0.243336\pi\) | |||||||
\(32\) | −0.913427 | − | 5.57166i | −0.161473 | − | 0.984939i | ||||
\(33\) | 1.37661 | − | 1.62067i | 0.239637 | − | 0.282123i | ||||
\(34\) | 0.141708 | + | 0.166832i | 0.0243028 | + | 0.0286115i | ||||
\(35\) | −3.45159 | + | 21.0538i | −0.583426 | + | 3.55874i | ||||
\(36\) | −0.576420 | − | 1.08724i | −0.0960700 | − | 0.181207i | ||||
\(37\) | −7.66527 | + | 1.68725i | −1.26016 | + | 0.277383i | −0.794328 | − | 0.607489i | \(-0.792177\pi\) |
−0.465835 | + | 0.884872i | \(0.654246\pi\) | |||||||
\(38\) | 2.40248 | − | 0.809488i | 0.389733 | − | 0.131316i | ||||
\(39\) | 0.0611434 | − | 1.12772i | 0.00979078 | − | 0.180580i | ||||
\(40\) | 9.51383 | + | 7.23222i | 1.50427 | + | 1.14351i | ||||
\(41\) | 2.32120 | − | 4.37824i | 0.362510 | − | 0.683767i | −0.633429 | − | 0.773801i | \(-0.718353\pi\) |
0.995939 | + | 0.0900346i | \(0.0286978\pi\) | |||||||
\(42\) | 1.18715 | − | 4.27573i | 0.183181 | − | 0.659760i | ||||
\(43\) | 1.98662 | − | 1.88183i | 0.302957 | − | 0.286976i | −0.521085 | − | 0.853505i | \(-0.674473\pi\) |
0.824042 | + | 0.566529i | \(0.191714\pi\) | |||||||
\(44\) | −0.968559 | + | 2.43090i | −0.146016 | + | 0.366472i | ||||
\(45\) | 3.99651 | + | 1.34658i | 0.595764 | + | 0.200736i | ||||
\(46\) | 5.17703 | + | 0.563036i | 0.763312 | + | 0.0830152i | ||||
\(47\) | 5.44805 | − | 2.52054i | 0.794680 | − | 0.367658i | 0.0198301 | − | 0.999803i | \(-0.493687\pi\) |
0.774850 | + | 0.632145i | \(0.217825\pi\) | |||||||
\(48\) | −0.0177533 | − | 0.0168169i | −0.00256247 | − | 0.00242731i | ||||
\(49\) | −15.9313 | + | 9.58556i | −2.27590 | + | 1.36937i | ||||
\(50\) | −11.1490 | + | 1.21253i | −1.57671 | + | 0.171478i | ||||
\(51\) | −0.243714 | − | 0.0536454i | −0.0341267 | − | 0.00751186i | ||||
\(52\) | 0.371813 | + | 1.33915i | 0.0515612 | + | 0.185707i | ||||
\(53\) | −0.00505911 | − | 0.00304396i | −0.000694922 | − | 0.000418121i | 0.515206 | − | 0.857066i | \(-0.327715\pi\) |
−0.515901 | + | 0.856648i | \(0.672543\pi\) | |||||||
\(54\) | −0.796087 | − | 0.368309i | −0.108334 | − | 0.0501205i | ||||
\(55\) | −3.31927 | − | 8.33074i | −0.447570 | − | 1.12332i | ||||
\(56\) | 0.776119 | + | 14.3147i | 0.103713 | + | 1.91288i | ||||
\(57\) | −1.62196 | + | 2.39221i | −0.214833 | + | 0.316856i | ||||
\(58\) | −2.33779 | −0.306966 | ||||||||
\(59\) | 5.68206 | + | 5.16857i | 0.739742 | + | 0.672891i | ||||
\(60\) | −5.18974 | −0.669993 | ||||||||
\(61\) | 7.77640 | − | 11.4693i | 0.995667 | − | 1.46850i | 0.115803 | − | 0.993272i | \(-0.463056\pi\) |
0.879864 | − | 0.475226i | \(-0.157634\pi\) | |||||||
\(62\) | 0.0823420 | + | 1.51871i | 0.0104575 | + | 0.192876i | ||||
\(63\) | 1.87250 | + | 4.69963i | 0.235913 | + | 0.592097i | ||||
\(64\) | 4.53912 | + | 2.10002i | 0.567390 | + | 0.262503i | ||||
\(65\) | −4.08112 | − | 2.45553i | −0.506201 | − | 0.304571i | ||||
\(66\) | 0.498994 | + | 1.79721i | 0.0614219 | + | 0.221222i | ||||
\(67\) | 3.91632 | + | 0.862047i | 0.478455 | + | 0.105316i | 0.447649 | − | 0.894210i | \(-0.352262\pi\) |
0.0308060 | + | 0.999525i | \(0.490193\pi\) | |||||||
\(68\) | 0.305292 | − | 0.0332025i | 0.0370221 | − | 0.00402639i | ||||
\(69\) | −5.08704 | + | 3.06077i | −0.612407 | + | 0.368473i | ||||
\(70\) | −13.5863 | − | 12.8696i | −1.62387 | − | 1.53822i | ||||
\(71\) | 2.75781 | − | 1.27590i | 0.327292 | − | 0.151421i | −0.249361 | − | 0.968411i | \(-0.580221\pi\) |
0.576653 | + | 0.816989i | \(0.304358\pi\) | |||||||
\(72\) | 2.81713 | + | 0.306381i | 0.332002 | + | 0.0361074i | ||||
\(73\) | −8.11316 | − | 2.73364i | −0.949573 | − | 0.319948i | −0.198450 | − | 0.980111i | \(-0.563591\pi\) |
−0.751123 | + | 0.660162i | \(0.770487\pi\) | |||||||
\(74\) | 2.54826 | − | 6.39565i | 0.296229 | − | 0.743479i | ||||
\(75\) | 9.28210 | − | 8.79248i | 1.07180 | − | 1.01527i | ||||
\(76\) | 0.951516 | − | 3.42705i | 0.109146 | − | 0.393110i | ||||
\(77\) | 5.03884 | − | 9.50427i | 0.574230 | − | 1.08311i | ||||
\(78\) | 0.788646 | + | 0.599513i | 0.0892966 | + | 0.0678815i | ||||
\(79\) | 0.206018 | − | 3.79978i | 0.0231789 | − | 0.427509i | −0.963797 | − | 0.266638i | \(-0.914087\pi\) |
0.986975 | − | 0.160871i | \(-0.0514302\pi\) | |||||||
\(80\) | −0.0977298 | + | 0.0329290i | −0.0109265 | + | 0.00368157i | ||||
\(81\) | 0.976621 | − | 0.214970i | 0.108513 | − | 0.0238856i | ||||
\(82\) | 2.03606 | + | 3.84041i | 0.224845 | + | 0.424103i | ||||
\(83\) | 0.687551 | − | 4.19387i | 0.0754685 | − | 0.460337i | −0.921875 | − | 0.387489i | \(-0.873343\pi\) |
0.997343 | − | 0.0728488i | \(-0.0232091\pi\) | |||||||
\(84\) | −4.03029 | − | 4.74483i | −0.439741 | − | 0.517703i | ||||
\(85\) | −0.681316 | + | 0.802107i | −0.0738991 | + | 0.0870008i | ||||
\(86\) | 0.388320 | + | 2.36865i | 0.0418736 | + | 0.255418i | ||||
\(87\) | 2.12173 | − | 1.61290i | 0.227474 | − | 0.172921i | ||||
\(88\) | −3.38155 | − | 4.98741i | −0.360474 | − | 0.531660i | ||||
\(89\) | −7.18880 | − | 10.6027i | −0.762011 | − | 1.12388i | −0.988699 | − | 0.149915i | \(-0.952100\pi\) |
0.226688 | − | 0.973967i | \(-0.427210\pi\) | |||||||
\(90\) | −2.94492 | + | 2.23867i | −0.310421 | + | 0.235976i | ||||
\(91\) | −0.924334 | − | 5.63819i | −0.0968965 | − | 0.591042i | ||||
\(92\) | 4.72971 | − | 5.56824i | 0.493106 | − | 0.580530i | ||||
\(93\) | −1.12253 | − | 1.32154i | −0.116401 | − | 0.137038i | ||||
\(94\) | −0.851857 | + | 5.19610i | −0.0878623 | + | 0.535937i | ||||
\(95\) | 5.70936 | + | 10.7690i | 0.585768 | + | 1.10488i | ||||
\(96\) | −5.51403 | + | 1.21373i | −0.562774 | + | 0.123876i | ||||
\(97\) | 8.80022 | − | 2.96514i | 0.893527 | − | 0.301064i | 0.165172 | − | 0.986265i | \(-0.447182\pi\) |
0.728354 | + | 0.685201i | \(0.240285\pi\) | |||||||
\(98\) | 0.882940 | − | 16.2849i | 0.0891904 | − | 1.64502i | ||||
\(99\) | −1.69282 | − | 1.28685i | −0.170135 | − | 0.129333i | ||||
\(100\) | −7.36973 | + | 13.9008i | −0.736973 | + | 1.39008i | ||||
\(101\) | 1.33986 | − | 4.82573i | 0.133321 | − | 0.480178i | −0.866499 | − | 0.499179i | \(-0.833635\pi\) |
0.999819 | + | 0.0190013i | \(0.00604866\pi\) | |||||||
\(102\) | 0.158915 | − | 0.150533i | 0.0157350 | − | 0.0149050i | ||||
\(103\) | −2.51375 | + | 6.30904i | −0.247687 | + | 0.621648i | −0.999278 | − | 0.0379810i | \(-0.987907\pi\) |
0.751591 | + | 0.659629i | \(0.229287\pi\) | |||||||
\(104\) | −3.03284 | − | 1.02188i | −0.297395 | − | 0.100204i | ||||
\(105\) | 21.2098 | + | 2.30670i | 2.06986 | + | 0.225111i | ||||
\(106\) | 0.00470031 | − | 0.00217459i | 0.000456534 | − | 0.000211215i | ||||
\(107\) | 7.05631 | + | 6.68409i | 0.682159 | + | 0.646175i | 0.948158 | − | 0.317798i | \(-0.102943\pi\) |
−0.266000 | + | 0.963973i | \(0.585702\pi\) | |||||||
\(108\) | −1.05444 | + | 0.634437i | −0.101464 | + | 0.0610487i | ||||
\(109\) | −10.5070 | + | 1.14271i | −1.00639 | + | 0.109452i | −0.596442 | − | 0.802656i | \(-0.703419\pi\) |
−0.409950 | + | 0.912108i | \(0.634454\pi\) | |||||||
\(110\) | 7.68215 | + | 1.69097i | 0.732464 | + | 0.161228i | ||||
\(111\) | 2.09977 | + | 7.56269i | 0.199301 | + | 0.717818i | ||||
\(112\) | −0.106002 | − | 0.0637792i | −0.0100162 | − | 0.00602656i | ||||
\(113\) | −3.09105 | − | 1.43007i | −0.290781 | − | 0.134530i | 0.269076 | − | 0.963119i | \(-0.413282\pi\) |
−0.559857 | + | 0.828589i | \(0.689144\pi\) | |||||||
\(114\) | −0.938369 | − | 2.35513i | −0.0878863 | − | 0.220578i | ||||
\(115\) | 1.35549 | + | 25.0006i | 0.126400 | + | 2.33132i | ||||
\(116\) | −1.84056 | + | 2.71462i | −0.170891 | + | 0.252046i | ||||
\(117\) | −1.12938 | −0.104411 | ||||||||
\(118\) | −6.54945 | + | 1.58103i | −0.602926 | + | 0.145545i | ||||
\(119\) | −1.26245 | −0.115728 | ||||||||
\(120\) | 6.70655 | − | 9.89142i | 0.612221 | − | 0.902959i | ||||
\(121\) | −0.350732 | − | 6.46886i | −0.0318847 | − | 0.588079i | ||||
\(122\) | 4.49897 | + | 11.2916i | 0.407318 | + | 1.02229i | ||||
\(123\) | −4.49749 | − | 2.08076i | −0.405525 | − | 0.187616i | ||||
\(124\) | 1.82834 | + | 1.10008i | 0.164190 | + | 0.0987898i | ||||
\(125\) | −8.78373 | − | 31.6361i | −0.785640 | − | 2.82962i | ||||
\(126\) | −4.33373 | − | 0.953927i | −0.386080 | − | 0.0849826i | ||||
\(127\) | −16.8020 | + | 1.82733i | −1.49093 | + | 0.162149i | −0.816998 | − | 0.576641i | \(-0.804363\pi\) |
−0.673936 | + | 0.738789i | \(0.735398\pi\) | |||||||
\(128\) | 5.91666 | − | 3.55994i | 0.522964 | − | 0.314657i | ||||
\(129\) | −1.98662 | − | 1.88183i | −0.174912 | − | 0.165686i | ||||
\(130\) | 3.79168 | − | 1.75422i | 0.332553 | − | 0.153855i | ||||
\(131\) | 3.92469 | + | 0.426836i | 0.342902 | + | 0.0372928i | 0.277950 | − | 0.960596i | \(-0.410345\pi\) |
0.0649519 | + | 0.997888i | \(0.479311\pi\) | |||||||
\(132\) | 2.47977 | + | 0.835532i | 0.215836 | + | 0.0727238i | ||||
\(133\) | −5.41195 | + | 13.5830i | −0.469276 | + | 1.17779i | ||||
\(134\) | −2.55367 | + | 2.41896i | −0.220603 | + | 0.208966i | ||||
\(135\) | 1.12824 | − | 4.06355i | 0.0971033 | − | 0.349735i | ||||
\(136\) | −0.331237 | + | 0.624780i | −0.0284034 | + | 0.0535744i | ||||
\(137\) | 1.48201 | + | 1.12659i | 0.126616 | + | 0.0962512i | 0.666566 | − | 0.745446i | \(-0.267764\pi\) |
−0.539949 | + | 0.841697i | \(0.681557\pi\) | |||||||
\(138\) | 0.281932 | − | 5.19992i | 0.0239996 | − | 0.442647i | ||||
\(139\) | −2.12629 | + | 0.716430i | −0.180349 | + | 0.0607668i | −0.408027 | − | 0.912970i | \(-0.633783\pi\) |
0.227678 | + | 0.973736i | \(0.426887\pi\) | |||||||
\(140\) | −25.6407 | + | 5.64395i | −2.16704 | + | 0.477001i | ||||
\(141\) | −2.81179 | − | 5.30360i | −0.236796 | − | 0.446644i | ||||
\(142\) | −0.431211 | + | 2.63027i | −0.0361865 | + | 0.220728i | ||||
\(143\) | 1.55472 | + | 1.83035i | 0.130012 | + | 0.153062i | ||||
\(144\) | −0.0158311 | + | 0.0186378i | −0.00131925 | + | 0.00155315i | ||||
\(145\) | −1.81839 | − | 11.0917i | −0.151009 | − | 0.921117i | ||||
\(146\) | 5.97836 | − | 4.54463i | 0.494773 | − | 0.376117i | ||||
\(147\) | 10.4340 | + | 15.3890i | 0.860582 | + | 1.26926i | ||||
\(148\) | −5.42031 | − | 7.99436i | −0.445547 | − | 0.657132i | ||||
\(149\) | −12.1527 | + | 9.23826i | −0.995590 | + | 0.756828i | −0.970065 | − | 0.242846i | \(-0.921919\pi\) |
−0.0255255 | + | 0.999674i | \(0.508126\pi\) | |||||||
\(150\) | 1.81435 | + | 11.0670i | 0.148141 | + | 0.903620i | ||||
\(151\) | 12.5467 | − | 14.7712i | 1.02104 | − | 1.20206i | 0.0418480 | − | 0.999124i | \(-0.486675\pi\) |
0.979192 | − | 0.202937i | \(-0.0650487\pi\) | |||||||
\(152\) | 5.30219 | + | 6.24222i | 0.430064 | + | 0.506311i | ||||
\(153\) | −0.0403724 | + | 0.246261i | −0.00326391 | + | 0.0199090i | ||||
\(154\) | 4.41986 | + | 8.33675i | 0.356163 | + | 0.671794i | ||||
\(155\) | −7.14153 | + | 1.57197i | −0.573621 | + | 0.126264i | ||||
\(156\) | 1.31706 | − | 0.443768i | 0.105449 | − | 0.0355298i | ||||
\(157\) | −0.276219 | + | 5.09457i | −0.0220447 | + | 0.406591i | 0.966597 | + | 0.256300i | \(0.0825036\pi\) |
−0.988642 | + | 0.150290i | \(0.951979\pi\) | |||||||
\(158\) | 2.65729 | + | 2.02002i | 0.211402 | + | 0.160704i | ||||
\(159\) | −0.00276561 | + | 0.00521649i | −0.000219327 | + | 0.000413694i | ||||
\(160\) | −6.37007 | + | 22.9429i | −0.503598 | + | 1.81380i | ||||
\(161\) | −21.8046 | + | 20.6544i | −1.71845 | + | 1.62780i | ||||
\(162\) | −0.324670 | + | 0.814860i | −0.0255085 | + | 0.0640214i | ||||
\(163\) | 13.5542 | + | 4.56695i | 1.06165 | + | 0.357712i | 0.795332 | − | 0.606174i | \(-0.207296\pi\) |
0.266318 | + | 0.963885i | \(0.414193\pi\) | |||||||
\(164\) | 6.06245 | + | 0.659332i | 0.473398 | + | 0.0514852i | ||||
\(165\) | −8.13882 | + | 3.76542i | −0.633607 | + | 0.293138i | ||||
\(166\) | 2.70637 | + | 2.56361i | 0.210055 | + | 0.198974i | ||||
\(167\) | 13.9397 | − | 8.38723i | 1.07869 | − | 0.649024i | 0.138733 | − | 0.990330i | \(-0.455697\pi\) |
0.939952 | + | 0.341306i | \(0.110869\pi\) | |||||||
\(168\) | 14.2517 | − | 1.54996i | 1.09954 | − | 0.119582i | ||||
\(169\) | −11.4504 | − | 2.52042i | −0.880799 | − | 0.193879i | ||||
\(170\) | −0.246964 | − | 0.889483i | −0.0189412 | − | 0.0682202i | ||||
\(171\) | 2.47651 | + | 1.49007i | 0.189383 | + | 0.113948i | ||||
\(172\) | 3.05618 | + | 1.41394i | 0.233031 | + | 0.107812i | ||||
\(173\) | 8.99004 | + | 22.5633i | 0.683500 | + | 1.71546i | 0.698541 | + | 0.715570i | \(0.253833\pi\) |
−0.0150409 | + | 0.999887i | \(0.504788\pi\) | |||||||
\(174\) | 0.126565 | + | 2.33436i | 0.00959488 | + | 0.176967i | ||||
\(175\) | 36.2977 | − | 53.5350i | 2.74384 | − | 4.04687i | ||||
\(176\) | 0.0519989 | 0.00391956 | ||||||||
\(177\) | 4.85337 | − | 5.95355i | 0.364802 | − | 0.447496i | ||||
\(178\) | 11.2364 | 0.842202 | ||||||||
\(179\) | −6.10122 | + | 8.99862i | −0.456026 | + | 0.672589i | −0.984304 | − | 0.176483i | \(-0.943528\pi\) |
0.528277 | + | 0.849072i | \(0.322838\pi\) | |||||||
\(180\) | 0.280967 | + | 5.18213i | 0.0209420 | + | 0.386253i | ||||
\(181\) | 2.63938 | + | 6.62434i | 0.196183 | + | 0.492383i | 0.993853 | − | 0.110712i | \(-0.0353132\pi\) |
−0.797669 | + | 0.603095i | \(0.793934\pi\) | |||||||
\(182\) | 4.54841 | + | 2.10432i | 0.337150 | + | 0.155982i | ||||
\(183\) | −11.8735 | − | 7.14406i | −0.877716 | − | 0.528104i | ||||
\(184\) | 4.50077 | + | 16.2103i | 0.331801 | + | 1.19504i | ||||
\(185\) | 32.3265 | + | 7.11560i | 2.37669 | + | 0.523150i | ||||
\(186\) | 1.51202 | − | 0.164443i | 0.110867 | − | 0.0120575i | ||||
\(187\) | 0.454685 | − | 0.273575i | 0.0332498 | − | 0.0200058i | ||||
\(188\) | 5.36299 | + | 5.08009i | 0.391136 | + | 0.370504i | ||||
\(189\) | 4.59136 | − | 2.12419i | 0.333972 | − | 0.154512i | ||||
\(190\) | −10.6289 | − | 1.15596i | −0.771100 | − | 0.0838622i | ||||
\(191\) | −0.0212371 | − | 0.00715562i | −0.00153666 | − | 0.000517762i | 0.318533 | − | 0.947912i | \(-0.396810\pi\) |
−0.320070 | + | 0.947394i | \(0.603706\pi\) | |||||||
\(192\) | 1.85120 | − | 4.64616i | 0.133599 | − | 0.335308i | ||||
\(193\) | −0.0463700 | + | 0.0439240i | −0.00333779 | + | 0.00316172i | −0.689367 | − | 0.724413i | \(-0.742111\pi\) |
0.686029 | + | 0.727574i | \(0.259352\pi\) | |||||||
\(194\) | −2.17917 | + | 7.84867i | −0.156456 | + | 0.563502i | ||||
\(195\) | −2.23098 | + | 4.20808i | −0.159764 | + | 0.301347i | ||||
\(196\) | −18.2147 | − | 13.8465i | −1.30105 | − | 0.989032i | ||||
\(197\) | 0.320478 | − | 5.91087i | 0.0228331 | − | 0.421132i | −0.964663 | − | 0.263487i | \(-0.915127\pi\) |
0.987496 | − | 0.157645i | \(-0.0503900\pi\) | |||||||
\(198\) | 1.76756 | − | 0.595562i | 0.125615 | − | 0.0423247i | ||||
\(199\) | 9.18488 | − | 2.02174i | 0.651099 | − | 0.143318i | 0.122874 | − | 0.992422i | \(-0.460789\pi\) |
0.528225 | + | 0.849105i | \(0.322858\pi\) | |||||||
\(200\) | −16.9706 | − | 32.0100i | −1.20000 | − | 2.26345i | ||||
\(201\) | 0.648758 | − | 3.95725i | 0.0457598 | − | 0.279123i | ||||
\(202\) | 2.84400 | + | 3.34822i | 0.200103 | + | 0.235580i | ||||
\(203\) | 8.72868 | − | 10.2762i | 0.612634 | − | 0.721248i | ||||
\(204\) | −0.0496820 | − | 0.303047i | −0.00347843 | − | 0.0212175i | ||||
\(205\) | −16.6373 | + | 12.6473i | −1.16200 | + | 0.883328i | ||||
\(206\) | −3.34306 | − | 4.93064i | −0.232922 | − | 0.343534i | ||||
\(207\) | 3.33169 | + | 4.91387i | 0.231568 | + | 0.341538i | ||||
\(208\) | 0.0219862 | − | 0.0167135i | 0.00152447 | − | 0.00115887i | ||||
\(209\) | −0.994282 | − | 6.06485i | −0.0687759 | − | 0.419515i | ||||
\(210\) | −12.1152 | + | 14.2631i | −0.836029 | + | 0.984250i | ||||
\(211\) | 13.0867 | + | 15.4068i | 0.900924 | + | 1.06065i | 0.997862 | + | 0.0653588i | \(0.0208192\pi\) |
−0.0969383 | + | 0.995290i | \(0.530905\pi\) | |||||||
\(212\) | 0.00117547 | − | 0.00717003i | 8.07314e−5 | − | 0.000492440i | ||||
\(213\) | −1.42333 | − | 2.68469i | −0.0975252 | − | 0.183952i | ||||
\(214\) | −8.32621 | + | 1.83274i | −0.569168 | + | 0.125283i | ||||
\(215\) | −10.9361 | + | 3.68480i | −0.745835 | + | 0.251301i | ||||
\(216\) | 0.153416 | − | 2.82959i | 0.0104386 | − | 0.192529i | ||||
\(217\) | −6.98323 | − | 5.30851i | −0.474053 | − | 0.360365i | ||||
\(218\) | 4.34247 | − | 8.19076i | 0.294109 | − | 0.554749i | ||||
\(219\) | −2.29039 | + | 8.24926i | −0.154771 | + | 0.557433i | ||||
\(220\) | 8.01175 | − | 7.58913i | 0.540152 | − | 0.511659i | ||||
\(221\) | 0.104318 | − | 0.261818i | 0.00701717 | − | 0.0176118i | ||||
\(222\) | −6.52423 | − | 2.19827i | −0.437878 | − | 0.147538i | ||||
\(223\) | −12.3985 | − | 1.34841i | −0.830262 | − | 0.0902964i | −0.316890 | − | 0.948462i | \(-0.602638\pi\) |
−0.513372 | + | 0.858166i | \(0.671604\pi\) | |||||||
\(224\) | −25.9230 | + | 11.9932i | −1.73205 | + | 0.801332i | ||||
\(225\) | −9.28210 | − | 8.79248i | −0.618807 | − | 0.586165i | ||||
\(226\) | 2.55982 | − | 1.54019i | 0.170277 | − | 0.102452i | ||||
\(227\) | −9.09839 | + | 0.989509i | −0.603881 | + | 0.0656760i | −0.404952 | − | 0.914338i | \(-0.632712\pi\) |
−0.198929 | + | 0.980014i | \(0.563746\pi\) | |||||||
\(228\) | −3.47354 | − | 0.764583i | −0.230041 | − | 0.0506358i | ||||
\(229\) | −4.80591 | − | 17.3093i | −0.317584 | − | 1.14383i | −0.934253 | − | 0.356611i | \(-0.883932\pi\) |
0.616670 | − | 0.787222i | \(-0.288481\pi\) | |||||||
\(230\) | −18.8180 | − | 11.3224i | −1.24082 | − | 0.746579i | ||||
\(231\) | −9.76313 | − | 4.51690i | −0.642367 | − | 0.297190i | ||||
\(232\) | −2.79545 | − | 7.01604i | −0.183530 | − | 0.460626i | ||||
\(233\) | −0.379788 | − | 7.00478i | −0.0248808 | − | 0.458899i | −0.984254 | − | 0.176759i | \(-0.943439\pi\) |
0.959373 | − | 0.282139i | \(-0.0910441\pi\) | |||||||
\(234\) | 0.555937 | − | 0.819946i | 0.0363428 | − | 0.0536016i | ||||
\(235\) | −25.3157 | −1.65141 | ||||||||
\(236\) | −3.32056 | + | 8.84992i | −0.216150 | + | 0.576081i | ||||
\(237\) | −3.80537 | −0.247185 | ||||||||
\(238\) | 0.621439 | − | 0.916553i | 0.0402819 | − | 0.0594113i | ||||
\(239\) | 0.682049 | + | 12.5796i | 0.0441181 | + | 0.813710i | 0.933946 | + | 0.357414i | \(0.116341\pi\) |
−0.889828 | + | 0.456296i | \(0.849176\pi\) | |||||||
\(240\) | 0.0381717 | + | 0.0958037i | 0.00246397 | + | 0.00618410i | ||||
\(241\) | −1.38545 | − | 0.640977i | −0.0892446 | − | 0.0412889i | 0.374759 | − | 0.927122i | \(-0.377725\pi\) |
−0.464004 | + | 0.885833i | \(0.653588\pi\) | |||||||
\(242\) | 4.86914 | + | 2.92966i | 0.313000 | + | 0.188326i | ||||
\(243\) | −0.267528 | − | 0.963550i | −0.0171620 | − | 0.0618118i | ||||
\(244\) | 16.6537 | + | 3.66576i | 1.06615 | + | 0.234676i | ||||
\(245\) | 77.9509 | − | 8.47768i | 4.98010 | − | 0.541619i | ||||
\(246\) | 3.72455 | − | 2.24099i | 0.237469 | − | 0.142880i | ||||
\(247\) | −2.36977 | − | 2.24476i | −0.150785 | − | 0.142831i | ||||
\(248\) | −4.45941 | + | 2.06314i | −0.283173 | + | 0.131010i | ||||
\(249\) | −4.22495 | − | 0.459491i | −0.267745 | − | 0.0291190i | ||||
\(250\) | 27.2921 | + | 9.19577i | 1.72610 | + | 0.581591i | ||||
\(251\) | 7.95907 | − | 19.9758i | 0.502372 | − | 1.26086i | −0.431131 | − | 0.902289i | \(-0.641885\pi\) |
0.933503 | − | 0.358569i | \(-0.116735\pi\) | |||||||
\(252\) | −4.51967 | + | 4.28126i | −0.284713 | + | 0.269694i | ||||
\(253\) | 3.37733 | − | 12.1641i | 0.212331 | − | 0.764748i | ||||
\(254\) | 6.94411 | − | 13.0980i | 0.435712 | − | 0.821840i | ||||
\(255\) | 0.837817 | + | 0.636892i | 0.0524661 | + | 0.0398837i | ||||
\(256\) | −0.869449 | + | 16.0360i | −0.0543405 | + | 1.00225i | ||||
\(257\) | −16.4295 | + | 5.53573i | −1.02484 | + | 0.345309i | −0.781017 | − | 0.624510i | \(-0.785299\pi\) |
−0.243825 | + | 0.969819i | \(0.578402\pi\) | |||||||
\(258\) | 2.34415 | − | 0.515986i | 0.145940 | − | 0.0321239i | ||||
\(259\) | 18.5988 | + | 35.0811i | 1.15567 | + | 2.17983i | ||||
\(260\) | 0.948235 | − | 5.78398i | 0.0588070 | − | 0.358707i | ||||
\(261\) | −1.72540 | − | 2.03130i | −0.106800 | − | 0.125734i | ||||
\(262\) | −2.24182 | + | 2.63927i | −0.138500 | + | 0.163055i | ||||
\(263\) | −1.31520 | − | 8.02234i | −0.0810984 | − | 0.494678i | −0.995876 | − | 0.0907213i | \(-0.971083\pi\) |
0.914778 | − | 0.403957i | \(-0.132366\pi\) | |||||||
\(264\) | −4.79702 | + | 3.64660i | −0.295236 | + | 0.224433i | ||||
\(265\) | 0.0139735 | + | 0.0206093i | 0.000858384 | + | 0.00126602i | ||||
\(266\) | −7.19740 | − | 10.6154i | −0.441301 | − | 0.650870i | ||||
\(267\) | −10.1979 | + | 7.75227i | −0.624104 | + | 0.474431i | ||||
\(268\) | 0.798357 | + | 4.86976i | 0.0487674 | + | 0.297468i | ||||
\(269\) | −8.03208 | + | 9.45610i | −0.489725 | + | 0.576548i | −0.950404 | − | 0.311018i | \(-0.899330\pi\) |
0.460679 | + | 0.887567i | \(0.347606\pi\) | |||||||
\(270\) | 2.39482 | + | 2.81940i | 0.145744 | + | 0.171583i | ||||
\(271\) | 1.45853 | − | 8.89663i | 0.0885993 | − | 0.540432i | −0.904810 | − | 0.425815i | \(-0.859988\pi\) |
0.993410 | − | 0.114617i | \(-0.0365642\pi\) | |||||||
\(272\) | −0.00285841 | − | 0.00539154i | −0.000173317 | − | 0.000326910i | ||||
\(273\) | −5.57987 | + | 1.22822i | −0.337709 | + | 0.0743355i | ||||
\(274\) | −1.54744 | + | 0.521393i | −0.0934842 | + | 0.0314985i | ||||
\(275\) | −1.47187 | + | 27.1471i | −0.0887572 | + | 1.63703i | ||||
\(276\) | −5.81614 | − | 4.42131i | −0.350090 | − | 0.266132i | ||||
\(277\) | −5.05385 | + | 9.53257i | −0.303656 | + | 0.572756i | −0.987640 | − | 0.156741i | \(-0.949901\pi\) |
0.683983 | + | 0.729497i | \(0.260246\pi\) | |||||||
\(278\) | 0.526527 | − | 1.89638i | 0.0315790 | − | 0.113737i | ||||
\(279\) | −1.25883 | + | 1.19243i | −0.0753644 | + | 0.0713889i | ||||
\(280\) | 22.3776 | − | 56.1636i | 1.33732 | − | 3.35642i | ||||
\(281\) | −0.570137 | − | 0.192102i | −0.0340115 | − | 0.0114598i | 0.302244 | − | 0.953230i | \(-0.402264\pi\) |
−0.336256 | + | 0.941771i | \(0.609161\pi\) | |||||||
\(282\) | 5.23460 | + | 0.569297i | 0.311716 | + | 0.0339011i | ||||
\(283\) | 8.87829 | − | 4.10754i | 0.527760 | − | 0.244168i | −0.137869 | − | 0.990450i | \(-0.544025\pi\) |
0.665629 | + | 0.746283i | \(0.268163\pi\) | |||||||
\(284\) | 2.71475 | + | 2.57155i | 0.161091 | + | 0.152594i | ||||
\(285\) | 10.4441 | − | 6.28401i | 0.618655 | − | 0.372233i | ||||
\(286\) | −2.09417 | + | 0.227755i | −0.123831 | + | 0.0134674i | ||||
\(287\) | −24.4834 | − | 5.38920i | −1.44521 | − | 0.318115i | ||||
\(288\) | 1.51047 | + | 5.44024i | 0.0890055 | + | 0.320569i | ||||
\(289\) | 14.5132 | + | 8.73231i | 0.853718 | + | 0.513665i | ||||
\(290\) | 8.94785 | + | 4.13972i | 0.525436 | + | 0.243093i | ||||
\(291\) | −3.43722 | − | 8.62678i | −0.201494 | − | 0.505711i | ||||
\(292\) | −0.570380 | − | 10.5200i | −0.0333790 | − | 0.615639i | ||||
\(293\) | −3.29810 | + | 4.86434i | −0.192677 | + | 0.284178i | −0.911740 | − | 0.410767i | \(-0.865261\pi\) |
0.719063 | + | 0.694945i | \(0.244571\pi\) | |||||||
\(294\) | −16.3088 | −0.951147 | ||||||||
\(295\) | −12.5956 | − | 29.8444i | −0.733344 | − | 1.73761i | ||||
\(296\) | 22.2414 | 1.29275 | ||||||||
\(297\) | −1.19332 | + | 1.76001i | −0.0692432 | + | 0.102126i | ||||
\(298\) | −0.724932 | − | 13.3706i | −0.0419942 | − | 0.774537i | ||||
\(299\) | −2.48176 | − | 6.22876i | −0.143524 | − | 0.360218i | ||||
\(300\) | 14.2794 | + | 6.60635i | 0.824421 | + | 0.381418i | ||||
\(301\) | −11.8617 | − | 7.13697i | −0.683699 | − | 0.411368i | ||||
\(302\) | 4.54795 | + | 16.3802i | 0.261705 | + | 0.942576i | ||||
\(303\) | −4.89119 | − | 1.07663i | −0.280992 | − | 0.0618509i | ||||
\(304\) | −0.0702627 | + | 0.00764152i | −0.00402984 | + | 0.000438271i | ||||
\(305\) | −50.0738 | + | 30.1284i | −2.86722 | + | 1.72515i | ||||
\(306\) | −0.158915 | − | 0.150533i | −0.00908459 | − | 0.00860538i | ||||
\(307\) | −20.2931 | + | 9.38859i | −1.15819 | + | 0.535835i | −0.902401 | − | 0.430898i | \(-0.858197\pi\) |
−0.255788 | + | 0.966733i | \(0.582335\pi\) | |||||||
\(308\) | 13.1603 | + | 1.43127i | 0.749880 | + | 0.0815544i | ||||
\(309\) | 6.43588 | + | 2.16850i | 0.366124 | + | 0.123362i | ||||
\(310\) | 2.37414 | − | 5.95865i | 0.134842 | − | 0.338429i | ||||
\(311\) | −15.1126 | + | 14.3154i | −0.856959 | + | 0.811754i | −0.983632 | − | 0.180190i | \(-0.942329\pi\) |
0.126673 | + | 0.991944i | \(0.459570\pi\) | |||||||
\(312\) | −0.856190 | + | 3.08372i | −0.0484722 | + | 0.174581i | ||||
\(313\) | 13.4971 | − | 25.4582i | 0.762900 | − | 1.43898i | −0.131313 | − | 0.991341i | \(-0.541919\pi\) |
0.894213 | − | 0.447641i | \(-0.147736\pi\) | |||||||
\(314\) | −3.56276 | − | 2.70834i | −0.201058 | − | 0.152840i | ||||
\(315\) | 1.15505 | − | 21.3036i | 0.0650794 | − | 1.20032i | ||||
\(316\) | 4.43772 | − | 1.49524i | 0.249641 | − | 0.0841140i | ||||
\(317\) | 3.17761 | − | 0.699445i | 0.178472 | − | 0.0392847i | −0.124835 | − | 0.992178i | \(-0.539840\pi\) |
0.303307 | + | 0.952893i | \(0.401909\pi\) | |||||||
\(318\) | −0.00242587 | − | 0.00457568i | −0.000136036 | − | 0.000256592i | ||||
\(319\) | −0.916864 | + | 5.59262i | −0.0513345 | + | 0.313127i | ||||
\(320\) | −13.6548 | − | 16.0756i | −0.763324 | − | 0.898654i | ||||
\(321\) | 6.29227 | − | 7.40783i | 0.351200 | − | 0.413465i | ||||
\(322\) | −4.26209 | − | 25.9976i | −0.237517 | − | 1.44879i | ||||
\(323\) | −0.574182 | + | 0.436482i | −0.0319483 | + | 0.0242865i | ||||
\(324\) | 0.690593 | + | 1.01855i | 0.0383663 | + | 0.0565860i | ||||
\(325\) | 8.10327 | + | 11.9514i | 0.449488 | + | 0.662946i | ||||
\(326\) | −9.98775 | + | 7.59249i | −0.553170 | + | 0.420509i | ||||
\(327\) | 1.70987 | + | 10.4298i | 0.0945562 | + | 0.576768i | ||||
\(328\) | −9.09099 | + | 10.7027i | −0.501966 | + | 0.590960i | ||||
\(329\) | −19.6599 | − | 23.1454i | −1.08388 | − | 1.27605i | ||||
\(330\) | 1.27259 | − | 7.76243i | 0.0700535 | − | 0.427308i | ||||
\(331\) | 7.73790 | + | 14.5952i | 0.425314 | + | 0.802227i | 0.999868 | − | 0.0162397i | \(-0.00516950\pi\) |
−0.574555 | + | 0.818466i | \(0.694825\pi\) | |||||||
\(332\) | 5.10758 | − | 1.12426i | 0.280315 | − | 0.0617019i | ||||
\(333\) | 7.43792 | − | 2.50613i | 0.407595 | − | 0.137335i | ||||
\(334\) | −0.772560 | + | 14.2490i | −0.0422726 | + | 0.779672i | ||||
\(335\) | −13.4632 | − | 10.2344i | −0.735571 | − | 0.559167i | ||||
\(336\) | −0.0579468 | + | 0.109299i | −0.00316126 | + | 0.00596276i | ||||
\(337\) | 1.98821 | − | 7.16090i | 0.108305 | − | 0.390079i | −0.889451 | − | 0.457030i | \(-0.848913\pi\) |
0.997756 | + | 0.0669507i | \(0.0213270\pi\) | |||||||
\(338\) | 7.46631 | − | 7.07247i | 0.406114 | − | 0.384692i | ||||
\(339\) | −1.26063 | + | 3.16394i | −0.0684679 | + | 0.171842i | ||||
\(340\) | −1.22730 | − | 0.413524i | −0.0665595 | − | 0.0224265i | ||||
\(341\) | 3.66546 | + | 0.398643i | 0.198496 | + | 0.0215877i | ||||
\(342\) | −2.30087 | + | 1.06450i | −0.124417 | + | 0.0575614i | ||||
\(343\) | 42.5774 | + | 40.3314i | 2.29896 | + | 2.17769i | ||||
\(344\) | −6.64431 | + | 3.99775i | −0.358237 | + | 0.215544i | ||||
\(345\) | 24.8905 | − | 2.70701i | 1.34006 | − | 0.145740i | ||||
\(346\) | −20.8066 | − | 4.57989i | −1.11857 | − | 0.246216i | ||||
\(347\) | −7.99011 | − | 28.7778i | −0.428932 | − | 1.54487i | −0.790461 | − | 0.612512i | \(-0.790159\pi\) |
0.361529 | − | 0.932361i | \(-0.382255\pi\) | |||||||
\(348\) | 2.81028 | + | 1.69089i | 0.150647 | + | 0.0906412i | ||||
\(349\) | 23.7986 | + | 11.0104i | 1.27391 | + | 0.589373i | 0.936064 | − | 0.351829i | \(-0.114440\pi\) |
0.337844 | + | 0.941202i | \(0.390302\pi\) | |||||||
\(350\) | 20.9997 | + | 52.7052i | 1.12248 | + | 2.81721i | ||||
\(351\) | 0.0611434 | + | 1.12772i | 0.00326359 | + | 0.0601934i | ||||
\(352\) | 6.73750 | − | 9.93707i | 0.359110 | − | 0.529648i | ||||
\(353\) | −13.1874 | −0.701893 | −0.350947 | − | 0.936395i | \(-0.614140\pi\) | ||||
−0.350947 | + | 0.936395i | \(0.614140\pi\) | |||||||
\(354\) | 1.93329 | + | 6.45425i | 0.102753 | + | 0.343040i | ||||
\(355\) | −12.8148 | −0.680141 | ||||||||
\(356\) | 8.84648 | − | 13.0476i | 0.468863 | − | 0.691521i | ||||
\(357\) | 0.0683474 | + | 1.26059i | 0.00361733 | + | 0.0667177i | ||||
\(358\) | −3.52980 | − | 8.85914i | −0.186556 | − | 0.468220i | ||||
\(359\) | 30.6482 | + | 14.1794i | 1.61755 | + | 0.748359i | 0.999292 | − | 0.0376161i | \(-0.0119764\pi\) |
0.618259 | + | 0.785975i | \(0.287838\pi\) | |||||||
\(360\) | −10.2400 | − | 6.16120i | −0.539695 | − | 0.324724i | ||||
\(361\) | −2.84827 | − | 10.2585i | −0.149909 | − | 0.539923i | ||||
\(362\) | −6.10860 | − | 1.34460i | −0.321061 | − | 0.0706708i | ||||
\(363\) | −6.44039 | + | 0.700434i | −0.338033 | + | 0.0367633i | ||||
\(364\) | 6.02451 | − | 3.62483i | 0.315770 | − | 0.189992i | ||||
\(365\) | 26.2123 | + | 24.8296i | 1.37202 | + | 1.29964i | ||||
\(366\) | 11.0314 | − | 5.10368i | 0.576622 | − | 0.266774i | ||||
\(367\) | 16.9796 | + | 1.84664i | 0.886328 | + | 0.0963939i | 0.539946 | − | 0.841700i | \(-0.318445\pi\) |
0.346382 | + | 0.938094i | \(0.387410\pi\) | |||||||
\(368\) | −0.137579 | − | 0.0463558i | −0.00717180 | − | 0.00241646i | ||||
\(369\) | −1.83422 | + | 4.60354i | −0.0954856 | + | 0.239651i | ||||
\(370\) | −21.0788 | + | 19.9669i | −1.09583 | + | 1.03803i | ||||
\(371\) | −0.00799086 | + | 0.0287805i | −0.000414865 | + | 0.00149421i | ||||
\(372\) | 0.999478 | − | 1.88522i | 0.0518205 | − | 0.0977439i | ||||
\(373\) | 28.6450 | + | 21.7754i | 1.48318 | + | 1.12749i | 0.961659 | + | 0.274247i | \(0.0884287\pi\) |
0.521522 | + | 0.853238i | \(0.325364\pi\) | |||||||
\(374\) | −0.0251994 | + | 0.464775i | −0.00130303 | + | 0.0240329i | ||||
\(375\) | −31.1142 | + | 10.4836i | −1.60673 | + | 0.541370i | ||||
\(376\) | −16.6129 | + | 3.65677i | −0.856743 | + | 0.188583i | ||||
\(377\) | 1.40991 | + | 2.65937i | 0.0726141 | + | 0.136965i | ||||
\(378\) | −0.717904 | + | 4.37902i | −0.0369250 | + | 0.225233i | ||||
\(379\) | 7.51770 | + | 8.85052i | 0.386158 | + | 0.454621i | 0.920555 | − | 0.390613i | \(-0.127737\pi\) |
−0.534397 | + | 0.845234i | \(0.679461\pi\) | |||||||
\(380\) | −9.71048 | + | 11.4321i | −0.498137 | + | 0.586452i | ||||
\(381\) | 2.73429 | + | 16.6784i | 0.140082 | + | 0.854461i | ||||
\(382\) | 0.0156491 | − | 0.0118961i | 0.000800675 | − | 0.000608657i | ||||
\(383\) | −9.85629 | − | 14.5369i | −0.503633 | − | 0.742803i | 0.487866 | − | 0.872919i | \(-0.337776\pi\) |
−0.991499 | + | 0.130116i | \(0.958465\pi\) | |||||||
\(384\) | −3.87504 | − | 5.71525i | −0.197747 | − | 0.291655i | ||||
\(385\) | −36.1161 | + | 27.4548i | −1.84065 | + | 1.39922i | ||||
\(386\) | −0.00906383 | − | 0.0552869i | −0.000461337 | − | 0.00281403i | ||||
\(387\) | −1.77151 | + | 2.08559i | −0.0900511 | + | 0.106016i | ||||
\(388\) | 7.39813 | + | 8.70975i | 0.375583 | + | 0.442171i | ||||
\(389\) | 3.39634 | − | 20.7168i | 0.172201 | − | 1.05038i | −0.749364 | − | 0.662158i | \(-0.769641\pi\) |
0.921565 | − | 0.388223i | \(-0.126911\pi\) | |||||||
\(390\) | −1.95692 | − | 3.69115i | −0.0990927 | − | 0.186909i | ||||
\(391\) | −1.44689 | + | 0.318485i | −0.0731725 | + | 0.0161065i | ||||
\(392\) | 49.9290 | − | 16.8231i | 2.52180 | − | 0.849692i | ||||
\(393\) | 0.213731 | − | 3.94204i | 0.0107813 | − | 0.198850i | ||||
\(394\) | 4.13362 | + | 3.14230i | 0.208249 | + | 0.158307i | ||||
\(395\) | −7.51713 | + | 14.1788i | −0.378228 | + | 0.713414i | ||||
\(396\) | 0.700055 | − | 2.52137i | 0.0351791 | − | 0.126704i | ||||
\(397\) | 7.48437 | − | 7.08957i | 0.375630 | − | 0.355815i | −0.476474 | − | 0.879189i | \(-0.658085\pi\) |
0.852103 | + | 0.523373i | \(0.175327\pi\) | |||||||
\(398\) | −3.05344 | + | 7.66356i | −0.153055 | + | 0.384139i | ||||
\(399\) | 13.8560 | + | 4.66865i | 0.693670 | + | 0.233725i | ||||
\(400\) | 0.310817 | + | 0.0338034i | 0.0155409 | + | 0.00169017i | ||||
\(401\) | 4.90294 | − | 2.26834i | 0.244841 | − | 0.113276i | −0.293631 | − | 0.955919i | \(-0.594864\pi\) |
0.538472 | + | 0.842643i | \(0.319002\pi\) | |||||||
\(402\) | 2.55367 | + | 2.41896i | 0.127365 | + | 0.120647i | ||||
\(403\) | 1.67796 | − | 1.00960i | 0.0835854 | − | 0.0502916i | ||||
\(404\) | 6.12703 | − | 0.666355i | 0.304831 | − | 0.0331524i | ||||
\(405\) | −4.11867 | − | 0.906588i | −0.204658 | − | 0.0450487i | ||||
\(406\) | 3.16398 | + | 11.3956i | 0.157025 | + | 0.565555i | ||||
\(407\) | −14.3007 | − | 8.60446i | −0.708861 | − | 0.426507i | ||||
\(408\) | 0.641796 | + | 0.296927i | 0.0317736 | + | 0.0147001i | ||||
\(409\) | 7.35325 | + | 18.4553i | 0.363595 | + | 0.912554i | 0.991000 | + | 0.133861i | \(0.0427376\pi\) |
−0.627405 | + | 0.778693i | \(0.715883\pi\) | |||||||
\(410\) | −0.992444 | − | 18.3046i | −0.0490133 | − | 0.903997i | ||||
\(411\) | 1.04471 | − | 1.54082i | 0.0515315 | − | 0.0760033i | ||||
\(412\) | −8.35743 | −0.411741 | ||||||||
\(413\) | 17.5042 | − | 34.6926i | 0.861327 | − | 1.70711i | ||||
\(414\) | −5.20756 | −0.255938 | ||||||||
\(415\) | −10.0580 | + | 14.8345i | −0.493730 | + | 0.728197i | ||||
\(416\) | −0.345218 | − | 6.36717i | −0.0169257 | − | 0.312176i | ||||
\(417\) | 0.830494 | + | 2.08438i | 0.0406695 | + | 0.102073i | ||||
\(418\) | 4.89260 | + | 2.26356i | 0.239305 | + | 0.110714i | ||||
\(419\) | −32.1273 | − | 19.3303i | −1.56952 | − | 0.944349i | −0.991755 | − | 0.128146i | \(-0.959097\pi\) |
−0.577765 | − | 0.816203i | \(-0.696075\pi\) | |||||||
\(420\) | 7.02383 | + | 25.2975i | 0.342728 | + | 1.23439i | ||||
\(421\) | −14.8157 | − | 3.26117i | −0.722071 | − | 0.158940i | −0.161294 | − | 0.986906i | \(-0.551567\pi\) |
−0.560777 | + | 0.827967i | \(0.689498\pi\) | |||||||
\(422\) | −17.6275 | + | 1.91710i | −0.858092 | + | 0.0933232i | ||||
\(423\) | −5.14360 | + | 3.09480i | −0.250090 | + | 0.150474i | ||||
\(424\) | 0.0121467 | + | 0.0115060i | 0.000589898 | + | 0.000558781i | ||||
\(425\) | 2.89567 | − | 1.33968i | 0.140461 | − | 0.0649840i | ||||
\(426\) | 2.64976 | + | 0.288179i | 0.128381 | + | 0.0139623i | ||||
\(427\) | −66.4323 | − | 22.3836i | −3.21488 | − | 1.08322i | ||||
\(428\) | −4.42713 | + | 11.1112i | −0.213993 | + | 0.537083i | ||||
\(429\) | 1.74350 | − | 1.65153i | 0.0841769 | − | 0.0797366i | ||||
\(430\) | 2.70807 | − | 9.75359i | 0.130595 | − | 0.470360i | ||||
\(431\) | 6.63146 | − | 12.5083i | 0.319426 | − | 0.602502i | −0.670854 | − | 0.741590i | \(-0.734072\pi\) |
0.990280 | + | 0.139088i | \(0.0444170\pi\) | |||||||
\(432\) | 0.0194675 | + | 0.0147988i | 0.000936630 | + | 0.000712008i | ||||
\(433\) | −0.0449158 | + | 0.828424i | −0.00215852 | + | 0.0398115i | −0.999414 | − | 0.0342224i | \(-0.989105\pi\) |
0.997256 | + | 0.0740339i | \(0.0235873\pi\) | |||||||
\(434\) | 7.29155 | − | 2.45681i | 0.350006 | − | 0.117931i | ||||
\(435\) | −10.9770 | + | 2.41622i | −0.526307 | + | 0.115849i | ||||
\(436\) | −6.09219 | − | 11.4911i | −0.291763 | − | 0.550323i | ||||
\(437\) | −2.77599 | + | 16.9328i | −0.132794 | + | 0.810006i | ||||
\(438\) | −4.86163 | − | 5.72355i | −0.232298 | − | 0.273482i | ||||
\(439\) | 20.1182 | − | 23.6850i | 0.960190 | − | 1.13042i | −0.0312042 | − | 0.999513i | \(-0.509934\pi\) |
0.991394 | − | 0.130910i | \(-0.0417899\pi\) | |||||||
\(440\) | 4.11121 | + | 25.0773i | 0.195994 | + | 1.19551i | ||||
\(441\) | 14.8016 | − | 11.2519i | 0.704836 | − | 0.535802i | ||||
\(442\) | 0.138733 | + | 0.204616i | 0.00659886 | + | 0.00973259i | ||||
\(443\) | 10.4957 | + | 15.4800i | 0.498665 | + | 0.735476i | 0.990843 | − | 0.135019i | \(-0.0431094\pi\) |
−0.492178 | + | 0.870495i | \(0.663799\pi\) | |||||||
\(444\) | −7.68918 | + | 5.84516i | −0.364912 | + | 0.277399i | ||||
\(445\) | 8.73997 | + | 53.3114i | 0.414314 | + | 2.52720i | ||||
\(446\) | 7.08210 | − | 8.33770i | 0.335347 | − | 0.394801i | ||||
\(447\) | 9.88265 | + | 11.6348i | 0.467433 | + | 0.550305i | ||||
\(448\) | 4.09334 | − | 24.9683i | 0.193392 | − | 1.17964i | ||||
\(449\) | 6.79284 | + | 12.8127i | 0.320574 | + | 0.604667i | 0.990461 | − | 0.137797i | \(-0.0440021\pi\) |
−0.669887 | + | 0.742463i | \(0.733657\pi\) | |||||||
\(450\) | 10.9526 | − | 2.41084i | 0.516309 | − | 0.113648i | ||||
\(451\) | 9.98584 | − | 3.36462i | 0.470215 | − | 0.158434i | ||||
\(452\) | 0.226907 | − | 4.18505i | 0.0106728 | − | 0.196848i | ||||
\(453\) | −15.4288 | − | 11.7287i | −0.724907 | − | 0.551060i | ||||
\(454\) | 3.76028 | − | 7.09264i | 0.176479 | − | 0.332874i | ||||
\(455\) | −6.44614 | + | 23.2169i | −0.302200 | + | 1.08842i | ||||
\(456\) | 5.94601 | − | 5.63236i | 0.278448 | − | 0.263760i | ||||
\(457\) | 1.84005 | − | 4.61817i | 0.0860737 | − | 0.216029i | −0.879639 | − | 0.475642i | \(-0.842216\pi\) |
0.965713 | + | 0.259613i | \(0.0835951\pi\) | |||||||
\(458\) | 14.9325 | + | 5.03136i | 0.697751 | + | 0.235100i | ||||
\(459\) | 0.248085 | + | 0.0269809i | 0.0115796 | + | 0.00125936i | ||||
\(460\) | −27.9631 | + | 12.9371i | −1.30378 | + | 0.603195i | ||||
\(461\) | 13.4188 | + | 12.7109i | 0.624974 | + | 0.592006i | 0.933222 | − | 0.359299i | \(-0.116984\pi\) |
−0.308249 | + | 0.951306i | \(0.599743\pi\) | |||||||
\(462\) | 8.08523 | − | 4.86472i | 0.376159 | − | 0.226327i | ||||
\(463\) | −6.81328 | + | 0.740989i | −0.316640 | + | 0.0344367i | −0.265059 | − | 0.964232i | \(-0.585392\pi\) |
−0.0515809 | + | 0.998669i | \(0.516426\pi\) | |||||||
\(464\) | 0.0636501 | + | 0.0140104i | 0.00295488 | + | 0.000650419i | ||||
\(465\) | 1.95630 | + | 7.04595i | 0.0907212 | + | 0.326748i | ||||
\(466\) | 5.27252 | + | 3.17237i | 0.244245 | + | 0.146957i | ||||
\(467\) | −8.18736 | − | 3.78788i | −0.378866 | − | 0.175282i | 0.221208 | − | 0.975227i | \(-0.429000\pi\) |
−0.600074 | + | 0.799945i | \(0.704862\pi\) | |||||||
\(468\) | −0.514421 | − | 1.29110i | −0.0237791 | − | 0.0596811i | ||||
\(469\) | −1.09830 | − | 20.2569i | −0.0507147 | − | 0.935377i | ||||
\(470\) | 12.4616 | − | 18.3795i | 0.574813 | − | 0.847785i | ||||
\(471\) | 5.10205 | 0.235090 | ||||||||
\(472\) | −12.5765 | − | 17.7653i | −0.578881 | − | 0.817715i | ||||
\(473\) | 5.81874 | 0.267546 | ||||||||
\(474\) | 1.87319 | − | 2.76275i | 0.0860385 | − | 0.126897i | ||||
\(475\) | −2.00057 | − | 36.8983i | −0.0917924 | − | 1.69301i | ||||
\(476\) | −0.575031 | − | 1.44322i | −0.0263565 | − | 0.0661498i | ||||
\(477\) | 0.00535856 | + | 0.00247913i | 0.000245352 | + | 0.000113512i | ||||
\(478\) | −9.46874 | − | 5.69715i | −0.433090 | − | 0.260582i | ||||
\(479\) | −1.73367 | − | 6.24413i | −0.0792136 | − | 0.285302i | 0.913325 | − | 0.407231i | \(-0.133506\pi\) |
−0.992539 | + | 0.121929i | \(0.961092\pi\) | |||||||
\(480\) | 23.2542 | + | 5.11863i | 1.06140 | + | 0.233632i | ||||
\(481\) | −8.81229 | + | 0.958394i | −0.401806 | + | 0.0436990i | ||||
\(482\) | 1.14735 | − | 0.690335i | 0.0522601 | − | 0.0314439i | ||||
\(483\) | 21.8046 | + | 20.6544i | 0.992145 | + | 0.939810i | ||||
\(484\) | 7.23540 | − | 3.34745i | 0.328882 | − | 0.152157i | ||||
\(485\) | −38.9333 | − | 4.23426i | −1.76787 | − | 0.192268i | ||||
\(486\) | 0.831242 | + | 0.280078i | 0.0377059 | + | 0.0127046i | ||||
\(487\) | 7.76620 | − | 19.4917i | 0.351920 | − | 0.883253i | −0.641330 | − | 0.767265i | \(-0.721617\pi\) |
0.993251 | − | 0.115988i | \(-0.0370035\pi\) | |||||||
\(488\) | −28.5079 | + | 27.0041i | −1.29049 | + | 1.22242i | ||||
\(489\) | 3.82645 | − | 13.7816i | 0.173038 | − | 0.623226i | ||||
\(490\) | −32.2164 | + | 60.7666i | −1.45539 | + | 2.74516i | ||||
\(491\) | 16.3128 | + | 12.4007i | 0.736188 | + | 0.559635i | 0.904692 | − | 0.426065i | \(-0.140101\pi\) |
−0.168504 | + | 0.985701i | \(0.553894\pi\) | |||||||
\(492\) | 0.330150 | − | 6.08926i | 0.0148843 | − | 0.274525i | ||||
\(493\) | 0.630275 | − | 0.212365i | 0.0283862 | − | 0.00956442i | ||||
\(494\) | 2.79625 | − | 0.615501i | 0.125809 | − | 0.0276927i | ||||
\(495\) | 4.20053 | + | 7.92303i | 0.188800 | + | 0.356114i | ||||
\(496\) | 0.00685979 | − | 0.0418429i | 0.000308014 | − | 0.00187880i | ||||
\(497\) | −9.95185 | − | 11.7162i | −0.446402 | − | 0.525545i | ||||
\(498\) | 2.41333 | − | 2.84119i | 0.108144 | − | 0.127317i | ||||
\(499\) | −3.61541 | − | 22.0530i | −0.161848 | − | 0.987230i | −0.935424 | − | 0.353527i | \(-0.884982\pi\) |
0.773576 | − | 0.633703i | \(-0.218466\pi\) | |||||||
\(500\) | 32.1653 | − | 24.4514i | 1.43848 | − | 1.09350i | ||||
\(501\) | −9.12961 | − | 13.4652i | −0.407881 | − | 0.601579i | ||||
\(502\) | 10.5848 | + | 15.6115i | 0.472424 | + | 0.696773i | ||||
\(503\) | 14.9638 | − | 11.3752i | 0.667201 | − | 0.507193i | −0.215876 | − | 0.976421i | \(-0.569261\pi\) |
0.883077 | + | 0.469228i | \(0.155468\pi\) | |||||||
\(504\) | −2.31926 | − | 14.1468i | −0.103308 | − | 0.630150i | ||||
\(505\) | −13.6736 | + | 16.0978i | −0.608468 | + | 0.716344i | ||||
\(506\) | 7.16879 | + | 8.43975i | 0.318691 | + | 0.375193i | ||||
\(507\) | −1.89681 | + | 11.5700i | −0.0842404 | + | 0.513844i | ||||
\(508\) | −9.74211 | − | 18.3756i | −0.432236 | − | 0.815284i | ||||
\(509\) | −33.6950 | + | 7.41682i | −1.49350 | + | 0.328745i | −0.885294 | − | 0.465032i | \(-0.846043\pi\) |
−0.608209 | + | 0.793777i | \(0.708112\pi\) | |||||||
\(510\) | −0.874808 | + | 0.294757i | −0.0387371 | + | 0.0130521i | ||||
\(511\) | −2.34481 | + | 43.2476i | −0.103728 | + | 1.91316i | ||||
\(512\) | −0.220246 | − | 0.167427i | −0.00973358 | − | 0.00739928i | ||||
\(513\) | 1.35381 | − | 2.55355i | 0.0597720 | − | 0.112742i | ||||
\(514\) | 4.06838 | − | 14.6530i | 0.179449 | − | 0.646315i | ||||
\(515\) | 20.7933 | − | 19.6965i | 0.916263 | − | 0.867930i | ||||
\(516\) | 1.24641 | − | 3.12824i | 0.0548700 | − | 0.137713i | ||||
\(517\) | 12.0964 | + | 4.07575i | 0.531999 | + | 0.179251i | ||||
\(518\) | −34.6246 | − | 3.76565i | −1.52132 | − | 0.165453i | ||||
\(519\) | 22.0435 | − | 10.1984i | 0.967603 | − | 0.447661i | ||||
\(520\) | 9.79863 | + | 9.28176i | 0.429698 | + | 0.407032i | ||||
\(521\) | 2.00012 | − | 1.20343i | 0.0876269 | − | 0.0527233i | −0.471066 | − | 0.882098i | \(-0.656131\pi\) |
0.558693 | + | 0.829375i | \(0.311303\pi\) | |||||||
\(522\) | 2.32408 | − | 0.252759i | 0.101722 | − | 0.0110630i | ||||
\(523\) | 16.0249 | + | 3.52734i | 0.700719 | + | 0.154240i | 0.551020 | − | 0.834492i | \(-0.314239\pi\) |
0.149699 | + | 0.988732i | \(0.452170\pi\) | |||||||
\(524\) | 1.29970 | + | 4.68110i | 0.0567777 | + | 0.204495i | ||||
\(525\) | −55.4216 | − | 33.3461i | −2.41880 | − | 1.45534i | ||||
\(526\) | 6.47174 | + | 2.99414i | 0.282181 | + | 0.130551i | ||||
\(527\) | −0.160159 | − | 0.401969i | −0.00697665 | − | 0.0175101i | ||||
\(528\) | −0.00281516 | − | 0.0519226i | −0.000122514 | − | 0.00225964i | ||||
\(529\) | −6.87243 | + | 10.1361i | −0.298801 | + | 0.440699i | ||||
\(530\) | −0.0218411 | −0.000948717 | ||||||||
\(531\) | −6.20758 | − | 4.52394i | −0.269386 | − | 0.196322i | ||||
\(532\) | −17.9930 | −0.780097 | ||||||||
\(533\) | 3.14076 | − | 4.63228i | 0.136042 | − | 0.200646i | ||||
\(534\) | −0.608325 | − | 11.2199i | −0.0263248 | − | 0.485533i | ||||
\(535\) | −15.1719 | − | 38.0785i | −0.655936 | − | 1.64628i | ||||
\(536\) | −10.3132 | − | 4.77141i | −0.445464 | − | 0.206094i | ||||
\(537\) | 9.31574 | + | 5.60509i | 0.402004 | + | 0.241878i | ||||
\(538\) | −2.91147 | − | 10.4862i | −0.125522 | − | 0.452091i | ||||
\(539\) | −38.6115 | − | 8.49904i | −1.66312 | − | 0.366080i | ||||
\(540\) | 5.15932 | − | 0.561110i | 0.222022 | − | 0.0241463i | ||||
\(541\) | −0.610281 | + | 0.367194i | −0.0262380 | + | 0.0157869i | −0.528612 | − | 0.848863i | \(-0.677288\pi\) |
0.502374 | + | 0.864650i | \(0.332460\pi\) | |||||||
\(542\) | 5.74112 | + | 5.43828i | 0.246602 | + | 0.233594i | ||||
\(543\) | 6.47173 | − | 2.99414i | 0.277728 | − | 0.128491i | ||||
\(544\) | −1.40070 | − | 0.152335i | −0.0600544 | − | 0.00653131i | ||||
\(545\) | 42.2391 | + | 14.2320i | 1.80932 | + | 0.609632i | ||||
\(546\) | 1.85499 | − | 4.65566i | 0.0793860 | − | 0.199244i | ||||
\(547\) | 4.43320 | − | 4.19935i | 0.189550 | − | 0.179551i | −0.587039 | − | 0.809558i | \(-0.699707\pi\) |
0.776589 | + | 0.630007i | \(0.216948\pi\) | |||||||
\(548\) | −0.612873 | + | 2.20737i | −0.0261806 | + | 0.0942941i | ||||
\(549\) | −6.49077 | + | 12.2429i | −0.277019 | + | 0.522513i | ||||
\(550\) | −18.9846 | − | 14.4317i | −0.809507 | − | 0.615371i | ||||
\(551\) | 0.417031 | − | 7.69168i | 0.0177661 | − | 0.327676i | ||||
\(552\) | 15.9429 | − | 5.37177i | 0.678573 | − | 0.228638i | ||||
\(553\) | −18.8010 | + | 4.13841i | −0.799499 | + | 0.175983i | ||||
\(554\) | −4.43302 | − | 8.36157i | −0.188341 | − | 0.355249i | ||||
\(555\) | 5.35505 | − | 32.6643i | 0.227309 | − | 1.38652i | ||||
\(556\) | −1.78752 | − | 2.10443i | −0.0758077 | − | 0.0892477i | ||||
\(557\) | 17.2745 | − | 20.3372i | 0.731946 | − | 0.861713i | −0.262719 | − | 0.964872i | \(-0.584619\pi\) |
0.994665 | + | 0.103159i | \(0.0328950\pi\) | |||||||
\(558\) | −0.246061 | − | 1.50090i | −0.0104166 | − | 0.0635383i | ||||
\(559\) | 2.46028 | − | 1.87026i | 0.104059 | − | 0.0791035i | ||||
\(560\) | 0.292781 | + | 0.431820i | 0.0123723 | + | 0.0182477i | ||||
\(561\) | −0.297790 | − | 0.439207i | −0.0125727 | − | 0.0185433i | ||||
\(562\) | 0.420119 | − | 0.319366i | 0.0177216 | − | 0.0134716i | ||||
\(563\) | −2.21890 | − | 13.5347i | −0.0935154 | − | 0.570418i | −0.991470 | − | 0.130331i | \(-0.958396\pi\) |
0.897955 | − | 0.440087i | \(-0.145052\pi\) | |||||||
\(564\) | 4.78230 | − | 5.63016i | 0.201371 | − | 0.237072i | ||||
\(565\) | 9.29861 | + | 10.9472i | 0.391195 | + | 0.460551i | ||||
\(566\) | −1.38821 | + | 8.46770i | −0.0583508 | + | 0.355924i | ||||
\(567\) | −2.36964 | − | 4.46962i | −0.0995157 | − | 0.187707i | ||||
\(568\) | −8.40946 | + | 1.85106i | −0.352853 | + | 0.0776689i | ||||
\(569\) | 3.47995 | − | 1.17253i | 0.145887 | − | 0.0491551i | −0.245411 | − | 0.969419i | \(-0.578923\pi\) |
0.391298 | + | 0.920264i | \(0.372026\pi\) | |||||||
\(570\) | −0.578829 | + | 10.6759i | −0.0242445 | + | 0.447163i | ||||
\(571\) | 21.5302 | + | 16.3668i | 0.901011 | + | 0.684931i | 0.949458 | − | 0.313895i | \(-0.101634\pi\) |
−0.0484469 | + | 0.998826i | \(0.515427\pi\) | |||||||
\(572\) | −1.38429 | + | 2.61105i | −0.0578801 | + | 0.109173i | ||||
\(573\) | −0.00599537 | + | 0.0215934i | −0.000250460 | + | 0.000902076i | ||||
\(574\) | 15.9646 | − | 15.1225i | 0.666349 | − | 0.631199i | ||||
\(575\) | 28.0952 | − | 70.5137i | 1.17165 | − | 2.94063i | ||||
\(576\) | −4.73957 | − | 1.59695i | −0.197482 | − | 0.0665394i | ||||
\(577\) | 4.18277 | + | 0.454903i | 0.174131 | + | 0.0189379i | 0.194769 | − | 0.980849i | \(-0.437604\pi\) |
−0.0206382 | + | 0.999787i | \(0.506570\pi\) | |||||||
\(578\) | −13.4839 | + | 6.23832i | −0.560857 | + | 0.259480i | ||||
\(579\) | 0.0463700 | + | 0.0439240i | 0.00192707 | + | 0.00182542i | ||||
\(580\) | 11.8517 | − | 7.13094i | 0.492115 | − | 0.296096i | ||||
\(581\) | −21.3737 | + | 2.32453i | −0.886730 | + | 0.0964377i | ||||
\(582\) | 7.95514 | + | 1.75106i | 0.329751 | + | 0.0725837i | ||||
\(583\) | −0.00335879 | − | 0.0120973i | −0.000139107 | − | 0.000501018i | ||||
\(584\) | 20.7878 | + | 12.5076i | 0.860207 | + | 0.517569i | ||||
\(585\) | 4.32269 | + | 1.99989i | 0.178721 | + | 0.0826852i | ||||
\(586\) | −1.90809 | − | 4.78894i | −0.0788224 | − | 0.197829i | ||||
\(587\) | 1.53322 | + | 28.2785i | 0.0632826 | + | 1.16718i | 0.841883 | + | 0.539659i | \(0.181447\pi\) |
−0.778601 | + | 0.627519i | \(0.784070\pi\) | |||||||
\(588\) | −12.8400 | + | 18.9376i | −0.529514 | + | 0.780974i | ||||
\(589\) | −5.01148 | −0.206494 | ||||||||
\(590\) | 27.8676 | + | 5.54630i | 1.14729 | + | 0.228338i | ||||
\(591\) | −5.91955 | −0.243498 | ||||||||
\(592\) | −0.107710 | + | 0.158860i | −0.00442685 | + | 0.00652912i | ||||
\(593\) | −1.17948 | − | 21.7543i | −0.0484356 | − | 0.893343i | −0.917276 | − | 0.398251i | \(-0.869617\pi\) |
0.868841 | − | 0.495092i | \(-0.164865\pi\) | |||||||
\(594\) | −0.690382 | − | 1.73273i | −0.0283267 | − | 0.0710947i | ||||
\(595\) | 4.83199 | + | 2.23552i | 0.198092 | + | 0.0916473i | ||||
\(596\) | −16.0966 | − | 9.68498i | −0.659341 | − | 0.396712i | ||||
\(597\) | −2.51604 | − | 9.06195i | −0.102975 | − | 0.370881i | ||||
\(598\) | 5.74381 | + | 1.26431i | 0.234882 | + | 0.0517014i | ||||
\(599\) | 16.7212 | − | 1.81854i | 0.683210 | − | 0.0743036i | 0.240070 | − | 0.970756i | \(-0.422830\pi\) |
0.443141 | + | 0.896452i | \(0.353864\pi\) | |||||||
\(600\) | −31.0443 | + | 18.6787i | −1.26738 | + | 0.762555i | ||||
\(601\) | −20.3825 | − | 19.3073i | −0.831418 | − | 0.787561i | 0.148088 | − | 0.988974i | \(-0.452688\pi\) |
−0.979506 | + | 0.201413i | \(0.935447\pi\) | |||||||
\(602\) | 11.0205 | − | 5.09862i | 0.449161 | − | 0.207804i | ||||
\(603\) | −3.98657 | − | 0.433565i | −0.162345 | − | 0.0176561i | ||||
\(604\) | 22.6012 | + | 7.61523i | 0.919630 | + | 0.309859i | ||||
\(605\) | −10.1125 | + | 25.3806i | −0.411133 | + | 1.03187i | ||||
\(606\) | 3.18934 | − | 3.02110i | 0.129558 | − | 0.122724i | ||||
\(607\) | −2.66378 | + | 9.59409i | −0.108120 | + | 0.389412i | −0.997733 | − | 0.0673035i | \(-0.978560\pi\) |
0.889613 | + | 0.456715i | \(0.150974\pi\) | |||||||
\(608\) | −7.64363 | + | 14.4174i | −0.309990 | + | 0.584704i | ||||
\(609\) | −10.7337 | − | 8.15954i | −0.434951 | − | 0.330641i | ||||
\(610\) | 2.77517 | − | 51.1850i | 0.112363 | − | 2.07242i | ||||
\(611\) | 6.42463 | − | 2.16471i | 0.259913 | − | 0.0875748i | ||||
\(612\) | −0.299912 | + | 0.0660157i | −0.0121232 | + | 0.00266853i | ||||
\(613\) | 10.8638 | + | 20.4913i | 0.438784 | + | 0.827635i | 1.00000 | 3.45707e-5i | \(-1.10042e-5\pi\) | |
−0.561216 | + | 0.827670i | \(0.689666\pi\) | |||||||
\(614\) | 3.17303 | − | 19.3546i | 0.128053 | − | 0.781089i | ||||
\(615\) | 13.5295 | + | 15.9282i | 0.545562 | + | 0.642286i | ||||
\(616\) | −19.7347 | + | 23.2335i | −0.795133 | + | 0.936103i | ||||
\(617\) | 6.33604 | + | 38.6481i | 0.255079 | + | 1.55591i | 0.734671 | + | 0.678423i | \(0.237336\pi\) |
−0.479592 | + | 0.877491i | \(0.659215\pi\) | |||||||
\(618\) | −4.74242 | + | 3.60510i | −0.190768 | + | 0.145018i | ||||
\(619\) | 0.270174 | + | 0.398476i | 0.0108592 | + | 0.0160161i | 0.833080 | − | 0.553153i | \(-0.186575\pi\) |
−0.822221 | + | 0.569169i | \(0.807265\pi\) | |||||||
\(620\) | −5.04995 | − | 7.44813i | −0.202811 | − | 0.299124i | ||||
\(621\) | 4.72629 | − | 3.59283i | 0.189659 | − | 0.144175i | ||||
\(622\) | −2.95403 | − | 18.0188i | −0.118446 | − | 0.722486i | ||||
\(623\) | −41.9537 | + | 49.3917i | −1.68084 | + | 1.97884i | ||||
\(624\) | −0.0178793 | − | 0.0210491i | −0.000715744 | − | 0.000842639i | ||||
\(625\) | −12.0590 | + | 73.5564i | −0.482358 | + | 2.94226i | ||||
\(626\) | 11.8391 | + | 22.3309i | 0.473185 | + | 0.892521i | ||||
\(627\) | −6.00213 | + | 1.32117i | −0.239702 | + | 0.0527624i | ||||
\(628\) | −5.94989 | + | 2.00475i | −0.237426 | + | 0.0799982i | ||||
\(629\) | −0.106039 | + | 1.95577i | −0.00422805 | + | 0.0779818i | ||||
\(630\) | 14.8981 | + | 11.3253i | 0.593555 | + | 0.451209i | ||||
\(631\) | −14.8906 | + | 28.0867i | −0.592786 | + | 1.11811i | 0.387748 | + | 0.921765i | \(0.373253\pi\) |
−0.980534 | + | 0.196348i | \(0.937092\pi\) | |||||||
\(632\) | −2.88487 | + | 10.3904i | −0.114754 | + | 0.413307i | ||||
\(633\) | 14.6757 | − | 13.9016i | 0.583308 | − | 0.552538i | ||||
\(634\) | −1.05637 | + | 2.65129i | −0.0419538 | + | 0.105296i | ||||
\(635\) | 67.5452 | + | 22.7586i | 2.68045 | + | 0.903148i | ||||
\(636\) | −0.00722315 | 0.000785565i | −0.000286417 | 3.11497e-5i | ||||||
\(637\) | −19.0575 | + | 8.81695i | −0.755086 | + | 0.349340i | ||||
\(638\) | −3.60900 | − | 3.41862i | −0.142882 | − | 0.135345i | ||||
\(639\) | −2.60370 | + | 1.56659i | −0.103001 | + | 0.0619735i | ||||
\(640\) | −28.9498 | + | 3.14848i | −1.14434 | + | 0.124455i | ||||
\(641\) | 42.3237 | + | 9.31615i | 1.67168 | + | 0.367966i | 0.947030 | − | 0.321146i | \(-0.104068\pi\) |
0.724655 | + | 0.689112i | \(0.241999\pi\) | |||||||
\(642\) | 2.28082 | + | 8.21478i | 0.0900169 | + | 0.324211i | ||||
\(643\) | −35.9418 | − | 21.6255i | −1.41741 | − | 0.852826i | −0.418932 | − | 0.908018i | \(-0.637595\pi\) |
−0.998476 | + | 0.0551915i | \(0.982423\pi\) | |||||||
\(644\) | −33.5438 | − | 15.5190i | −1.32181 | − | 0.611535i | ||||
\(645\) | 4.27146 | + | 10.7206i | 0.168189 | + | 0.422121i | ||||
\(646\) | −0.0342510 | − | 0.631722i | −0.00134759 | − | 0.0248548i | ||||
\(647\) | −9.29677 | + | 13.7117i | −0.365494 | + | 0.539063i | −0.965321 | − | 0.261067i | \(-0.915926\pi\) |
0.599827 | + | 0.800130i | \(0.295236\pi\) | |||||||
\(648\) | −2.83374 | −0.111320 | ||||||||
\(649\) | 1.21360 | + | 16.2881i | 0.0476380 | + | 0.639366i | ||||
\(650\) | −12.6657 | −0.496791 | ||||||||
\(651\) | −4.92266 | + | 7.26039i | −0.192934 | + | 0.284557i | ||||
\(652\) | 0.952905 | + | 17.5753i | 0.0373187 | + | 0.688302i | ||||
\(653\) | −15.2590 | − | 38.2972i | −0.597131 | − | 1.49869i | −0.847640 | − | 0.530572i | \(-0.821977\pi\) |
0.250508 | − | 0.968114i | \(-0.419402\pi\) | |||||||
\(654\) | −8.41385 | − | 3.89266i | −0.329007 | − | 0.152215i | ||||
\(655\) | −14.2659 | − | 8.58349i | −0.557414 | − | 0.335385i | ||||
\(656\) | −0.0324193 | − | 0.116764i | −0.00126576 | − | 0.00455886i | ||||
\(657\) | 8.36116 | + | 1.84043i | 0.326200 | + | 0.0718020i | ||||
\(658\) | 26.4814 | − | 2.88003i | 1.03235 | − | 0.112275i | ||||
\(659\) | 33.4327 | − | 20.1158i | 1.30235 | − | 0.783599i | 0.316080 | − | 0.948732i | \(-0.397633\pi\) |
0.986271 | + | 0.165133i | \(0.0528055\pi\) | |||||||
\(660\) | −8.01175 | − | 7.58913i | −0.311857 | − | 0.295407i | ||||
\(661\) | 41.6966 | − | 19.2909i | 1.62181 | − | 0.750329i | 0.622335 | − | 0.782751i | \(-0.286184\pi\) |
0.999474 | + | 0.0324226i | \(0.0103222\pi\) | |||||||
\(662\) | −14.4053 | − | 1.56667i | −0.559879 | − | 0.0608905i | ||||
\(663\) | −0.267081 | − | 0.0899902i | −0.0103726 | − | 0.00349493i | ||||
\(664\) | −4.45758 | + | 11.1877i | −0.172987 | + | 0.434166i | ||||
\(665\) | 44.7667 | − | 42.4053i | 1.73598 | − | 1.64441i | ||||
\(666\) | −1.84183 | + | 6.63367i | −0.0713695 | + | 0.257050i | ||||
\(667\) | 7.41153 | − | 13.9796i | 0.286976 | − | 0.541294i | ||||
\(668\) | 15.9376 | + | 12.1155i | 0.616644 | + | 0.468761i | ||||
\(669\) | −0.675197 | + | 12.4533i | −0.0261046 | + | 0.481471i | ||||
\(670\) | 14.0576 | − | 4.73655i | 0.543092 | − | 0.182989i | ||||
\(671\) | 28.7770 | − | 6.33429i | 1.11092 | − | 0.244532i | ||||
\(672\) | 13.3791 | + | 25.2356i | 0.516110 | + | 0.973486i | ||||
\(673\) | 1.65376 | − | 10.0875i | 0.0637477 | − | 0.388844i | −0.935611 | − | 0.353033i | \(-0.885150\pi\) |
0.999359 | − | 0.0358109i | \(-0.0114014\pi\) | |||||||
\(674\) | 4.22022 | + | 4.96842i | 0.162557 | + | 0.191377i | ||||
\(675\) | −8.27706 | + | 9.74451i | −0.318584 | + | 0.375066i | ||||
\(676\) | −2.33421 | − | 14.2380i | −0.0897771 | − | 0.547616i | ||||
\(677\) | −21.2168 | + | 16.1286i | −0.815429 | + | 0.619873i | −0.927498 | − | 0.373827i | \(-0.878045\pi\) |
0.112069 | + | 0.993700i | \(0.464252\pi\) | |||||||
\(678\) | −1.67652 | − | 2.47268i | −0.0643864 | − | 0.0949628i | ||||
\(679\) | −26.3639 | − | 38.8839i | −1.01175 | − | 1.49223i | ||||
\(680\) | 2.37416 | − | 1.80479i | 0.0910447 | − | 0.0692104i | ||||
\(681\) | 1.48063 | + | 9.03147i | 0.0567380 | + | 0.346087i | ||||
\(682\) | −2.09374 | + | 2.46495i | −0.0801736 | + | 0.0943876i | ||||
\(683\) | 8.12850 | + | 9.56961i | 0.311029 | + | 0.366171i | 0.895359 | − | 0.445345i | \(-0.146919\pi\) |
−0.584331 | + | 0.811516i | \(0.698643\pi\) | |||||||
\(684\) | −0.575409 | + | 3.50984i | −0.0220013 | + | 0.134202i | ||||
\(685\) | −3.67741 | − | 6.93633i | −0.140507 | − | 0.265024i | ||||
\(686\) | −50.2399 | + | 11.0586i | −1.91817 | + | 0.422221i | ||||
\(687\) | −17.0238 | + | 5.73597i | −0.649497 | + | 0.218841i | ||||
\(688\) | 0.00362274 | − | 0.0668175i | 0.000138116 | − | 0.00254739i | ||||
\(689\) | −0.00530847 | − | 0.00403540i | −0.000202237 | − | 0.000153736i | ||||
\(690\) | −10.2870 | + | 19.4034i | −0.391621 | + | 0.738675i | ||||
\(691\) | 12.2047 | − | 43.9575i | 0.464290 | − | 1.67222i | −0.246757 | − | 0.969077i | \(-0.579365\pi\) |
0.711047 | − | 0.703144i | \(-0.248221\pi\) | |||||||
\(692\) | −21.6993 | + | 20.5547i | −0.824885 | + | 0.781372i | ||||
\(693\) | −3.98171 | + | 9.99335i | −0.151253 | + | 0.379616i | ||||
\(694\) | 24.8262 | + | 8.36493i | 0.942390 | + | 0.317528i | ||||
\(695\) | 9.40698 | + | 1.02307i | 0.356827 | + | 0.0388073i | ||||
\(696\) | −6.85441 | + | 3.17119i | −0.259816 | + | 0.120204i | ||||
\(697\) | −0.897791 | − | 0.850433i | −0.0340063 | − | 0.0322124i | ||||
\(698\) | −19.7085 | + | 11.8582i | −0.745980 | + | 0.448841i | ||||
\(699\) | −6.97395 | + | 0.758462i | −0.263779 | + | 0.0286877i | ||||
\(700\) | 77.7340 | + | 17.1106i | 2.93807 | + | 0.646718i | ||||
\(701\) | −5.77553 | − | 20.8016i | −0.218139 | − | 0.785664i | −0.988905 | − | 0.148547i | \(-0.952540\pi\) |
0.770767 | − | 0.637118i | \(-0.219873\pi\) | |||||||
\(702\) | −0.848841 | − | 0.510731i | −0.0320375 | − | 0.0192763i | ||||
\(703\) | 20.5881 | + | 9.52507i | 0.776495 | + | 0.359245i | ||||
\(704\) | 3.93642 | + | 9.87966i | 0.148359 | + | 0.372354i | ||||
\(705\) | 1.37056 | + | 25.2786i | 0.0516184 | + | 0.952046i | ||||
\(706\) | 6.49149 | − | 9.57423i | 0.244310 | − | 0.360331i | ||||
\(707\) | −25.3365 | −0.952878 | ||||||||
\(708\) | 9.01672 | + | 2.83656i | 0.338869 | + | 0.106604i | ||||
\(709\) | −1.60268 | −0.0601901 | −0.0300950 | − | 0.999547i | \(-0.509581\pi\) | ||||
−0.0300950 | + | 0.999547i | \(0.509581\pi\) | |||||||
\(710\) | 6.30810 | − | 9.30376i | 0.236739 | − | 0.349164i | ||||
\(711\) | 0.206018 | + | 3.79978i | 0.00772629 | + | 0.142503i | ||||
\(712\) | 13.4361 | + | 33.7220i | 0.503538 | + | 1.26379i | ||||
\(713\) | −9.34272 | − | 4.32240i | −0.349888 | − | 0.161875i | ||||
\(714\) | −0.948853 | − | 0.570906i | −0.0355099 | − | 0.0213656i | ||||
\(715\) | −2.70950 | − | 9.75873i | −0.101329 | − | 0.364956i | ||||
\(716\) | −13.0662 | − | 2.87609i | −0.488307 | − | 0.107484i | ||||
\(717\) | 12.5243 | − | 1.36210i | 0.467728 | − | 0.0508684i | ||||
\(718\) | −25.3810 | + | 15.2712i | −0.947211 | + | 0.569918i | ||||
\(719\) | −6.12136 | − | 5.79846i | −0.228288 | − | 0.216246i | 0.565002 | − | 0.825089i | \(-0.308875\pi\) |
−0.793291 | + | 0.608843i | \(0.791634\pi\) | |||||||
\(720\) | 0.0935966 | − | 0.0433024i | 0.00348814 | − | 0.00161379i | ||||
\(721\) | 34.1557 | + | 3.71466i | 1.27203 | + | 0.138341i | ||||
\(722\) | 8.84990 | + | 2.98188i | 0.329359 | + | 0.110974i | ||||
\(723\) | −0.565030 | + | 1.41812i | −0.0210137 | + | 0.0527404i | ||||
\(724\) | −6.37068 | + | 6.03463i | −0.236765 | + | 0.224275i | ||||
\(725\) | −9.11610 | + | 32.8332i | −0.338563 | + | 1.21940i | ||||
\(726\) | 2.66176 | − | 5.02060i | 0.0987870 | − | 0.186332i | ||||
\(727\) | −23.2297 | − | 17.6587i | −0.861540 | − | 0.654926i | 0.0781541 | − | 0.996941i | \(-0.475097\pi\) |
−0.939694 | + | 0.342015i | \(0.888890\pi\) | |||||||
\(728\) | −0.876533 | + | 16.1667i | −0.0324865 | + | 0.599178i | ||||
\(729\) | −0.947653 | + | 0.319302i | −0.0350983 | + | 0.0118260i | ||||
\(730\) | −30.9297 | + | 6.80814i | −1.14476 | + | 0.251981i | ||||
\(731\) | −0.319860 | − | 0.603320i | −0.0118305 | − | 0.0223146i | ||||
\(732\) | 2.75877 | − | 16.8278i | 0.101967 | − | 0.621972i | ||||
\(733\) | 6.53226 | + | 7.69037i | 0.241274 | + | 0.284050i | 0.869450 | − | 0.494022i | \(-0.164474\pi\) |
−0.628175 | + | 0.778072i | \(0.716198\pi\) | |||||||
\(734\) | −9.69889 | + | 11.4184i | −0.357993 | + | 0.421461i | ||||
\(735\) | −12.6854 | − | 77.3776i | −0.467909 | − | 2.85412i | ||||
\(736\) | −26.6848 | + | 20.2852i | −0.983614 | + | 0.747724i | ||||
\(737\) | 4.78528 | + | 7.05776i | 0.176268 | + | 0.259976i | ||||
\(738\) | −2.43934 | − | 3.59776i | −0.0897935 | − | 0.132435i | ||||
\(739\) | 31.1731 | − | 23.6972i | 1.14672 | − | 0.871714i | 0.153521 | − | 0.988145i | \(-0.450939\pi\) |
0.993199 | + | 0.116431i | \(0.0371455\pi\) | |||||||
\(740\) | 6.58988 | + | 40.1965i | 0.242249 | + | 1.47765i | ||||
\(741\) | −2.11317 | + | 2.48782i | −0.0776294 | + | 0.0913924i | ||||
\(742\) | −0.0169615 | − | 0.0199687i | −0.000622678 | − | 0.000733073i | ||||
\(743\) | 1.12930 | − | 6.88839i | 0.0414298 | − | 0.252711i | −0.957989 | − | 0.286806i | \(-0.907407\pi\) |
0.999419 | + | 0.0340950i | \(0.0108549\pi\) | |||||||
\(744\) | 2.30154 | + | 4.34117i | 0.0843787 | + | 0.159155i | ||||
\(745\) | 62.8734 | − | 13.8395i | 2.30350 | − | 0.507039i | ||||
\(746\) | −29.9097 | + | 10.0778i | −1.09507 | + | 0.368973i | ||||
\(747\) | −0.230083 | + | 4.24363i | −0.00841829 | + | 0.155266i | ||||
\(748\) | 0.519853 | + | 0.395182i | 0.0190077 | + | 0.0144493i | ||||
\(749\) | 23.0317 | − | 43.4425i | 0.841561 | − | 1.58735i | ||||
\(750\) | 7.70472 | − | 27.7499i | 0.281337 | − | 1.01328i | ||||
\(751\) | −5.71947 | + | 5.41777i | −0.208706 | + | 0.197697i | −0.784911 | − | 0.619608i | \(-0.787292\pi\) |
0.576205 | + | 0.817305i | \(0.304533\pi\) | |||||||
\(752\) | 0.0543336 | − | 0.136367i | 0.00198134 | − | 0.00497280i | ||||
\(753\) | −20.3773 | − | 6.86593i | −0.742592 | − | 0.250208i | ||||
\(754\) | −2.62477 | − | 0.285461i | −0.0955886 | − | 0.0103959i | ||||
\(755\) | −74.1791 | + | 34.3189i | −2.69965 | + | 1.24899i | ||||
\(756\) | 4.51967 | + | 4.28126i | 0.164379 | + | 0.155708i | ||||
\(757\) | −5.72175 | + | 3.44266i | −0.207960 | + | 0.125126i | −0.615724 | − | 0.787962i | \(-0.711136\pi\) |
0.407764 | + | 0.913088i | \(0.366309\pi\) | |||||||
\(758\) | −10.1262 | + | 1.10129i | −0.367800 | + | 0.0400006i | ||||
\(759\) | −12.3291 | − | 2.71383i | −0.447517 | − | 0.0985059i | ||||
\(760\) | −9.24044 | − | 33.2811i | −0.335186 | − | 1.20723i | ||||
\(761\) | 17.4582 | + | 10.5042i | 0.632858 | + | 0.380778i | 0.795540 | − | 0.605901i | \(-0.207187\pi\) |
−0.162683 | + | 0.986678i | \(0.552015\pi\) | |||||||
\(762\) | −13.4547 | − | 6.22481i | −0.487413 | − | 0.225501i | ||||
\(763\) | 19.7905 | + | 49.6703i | 0.716463 | + | 1.79819i | ||||
\(764\) | −0.00149304 | − | 0.0275374i | −5.40161e−5 | − | 0.000996269i | ||||
\(765\) | 0.590599 | − | 0.871069i | 0.0213532 | − | 0.0314936i | ||||
\(766\) | 15.4058 | 0.556634 | ||||||||
\(767\) | 5.74847 | + | 6.49689i | 0.207565 | + | 0.234589i | ||||
\(768\) | 16.0596 | 0.579500 | ||||||||
\(769\) | −22.0390 | + | 32.5051i | −0.794746 | + | 1.17216i | 0.187074 | + | 0.982346i | \(0.440100\pi\) |
−0.981820 | + | 0.189817i | \(0.939211\pi\) | |||||||
\(770\) | −2.15439 | − | 39.7354i | −0.0776389 | − | 1.43197i | ||||
\(771\) | 6.41708 | + | 16.1057i | 0.231106 | + | 0.580031i | ||||
\(772\) | −0.0713347 | − | 0.0330029i | −0.00256739 | − | 0.00118780i | ||||
\(773\) | −18.9273 | − | 11.3882i | −0.680769 | − | 0.409605i | 0.132745 | − | 0.991150i | \(-0.457621\pi\) |
−0.813514 | + | 0.581545i | \(0.802448\pi\) | |||||||
\(774\) | −0.642139 | − | 2.31278i | −0.0230812 | − | 0.0831310i | ||||
\(775\) | 21.6507 | + | 4.76569i | 0.777717 | + | 0.171188i | ||||
\(776\) | −26.1608 | + | 2.84516i | −0.939118 | + | 0.102135i | ||||
\(777\) | 34.0227 | − | 20.4708i | 1.22056 | − | 0.734385i | ||||
\(778\) | 13.3688 | + | 12.6636i | 0.479295 | + | 0.454012i | ||||
\(779\) | −12.9988 | + | 6.01386i | −0.465729 | + | 0.215469i | ||||
\(780\) | −5.82683 | − | 0.633706i | −0.208634 | − | 0.0226903i | ||||
\(781\) | 6.12321 | + | 2.06315i | 0.219106 | + | 0.0738253i | ||||
\(782\) | 0.481008 | − | 1.20724i | 0.0172008 | − | 0.0431708i | ||||
\(783\) | −1.93491 | + | 1.83284i | −0.0691480 | + | 0.0655005i | ||||
\(784\) | −0.121635 | + | 0.438091i | −0.00434412 | + | 0.0156461i | ||||
\(785\) | 10.0786 | − | 19.0103i | 0.359721 | − | 0.678506i | ||||
\(786\) | 2.75677 | + | 2.09564i | 0.0983307 | + | 0.0747491i | ||||
\(787\) | 0.502298 | − | 9.26434i | 0.0179050 | − | 0.330238i | −0.975834 | − | 0.218513i | \(-0.929880\pi\) |
0.993739 | − | 0.111725i | \(-0.0356377\pi\) | |||||||
\(788\) | 6.90324 | − | 2.32597i | 0.245918 | − | 0.0828593i | ||||
\(789\) | −7.93937 | + | 1.74759i | −0.282649 | + | 0.0622157i | ||||
\(790\) | −6.59372 | − | 12.4371i | −0.234594 | − | 0.442491i | ||||
\(791\) | −2.78748 | + | 17.0029i | −0.0991114 | + | 0.604553i | ||||
\(792\) | 3.90096 | + | 4.59257i | 0.138615 | + | 0.163190i | ||||
\(793\) | 10.1315 | − | 11.9278i | 0.359781 | − | 0.423567i | ||||
\(794\) | 1.46295 | + | 8.92360i | 0.0519181 | + | 0.316687i | ||||
\(795\) | 0.0198226 | − | 0.0150687i | 0.000703035 | − | 0.000534433i | ||||
\(796\) | 6.49486 | + | 9.57920i | 0.230204 | + | 0.339526i | ||||
\(797\) | −8.99460 | − | 13.2660i | −0.318605 | − | 0.469907i | 0.634338 | − | 0.773055i | \(-0.281273\pi\) |
−0.952943 | + | 0.303148i | \(0.901962\pi\) | |||||||
\(798\) | −10.2101 | + | 7.76155i | −0.361435 | + | 0.274756i | ||||
\(799\) | −0.242350 | − | 1.47827i | −0.00857372 | − | 0.0522974i | ||||
\(800\) | 46.7325 | − | 55.0178i | 1.65224 | − | 1.94517i | ||||
\(801\) | 8.29301 | + | 9.76328i | 0.293019 | + | 0.344969i | ||||
\(802\) | −0.766624 | + | 4.67620i | −0.0270704 | + | 0.165122i | ||||
\(803\) | −8.52733 | − | 16.0842i | −0.300923 | − | 0.567601i | ||||
\(804\) | 4.81940 | − | 1.06083i | 0.169967 | − | 0.0374126i | ||||
\(805\) | 120.032 | − | 40.4433i | 4.23056 | − | 1.42544i | ||||
\(806\) | −0.0929955 | + | 1.71520i | −0.00327563 | + | 0.0604154i | ||||
\(807\) | 9.87708 | + | 7.50836i | 0.347690 | + | 0.264307i | ||||
\(808\) | −6.64774 | + | 12.5390i | −0.233867 | + | 0.441119i | ||||
\(809\) | −6.68145 | + | 24.0644i | −0.234907 | + | 0.846060i | 0.748268 | + | 0.663396i | \(0.230886\pi\) |
−0.983176 | + | 0.182663i | \(0.941528\pi\) | |||||||
\(810\) | 2.68561 | − | 2.54395i | 0.0943627 | − | 0.0893851i | ||||
\(811\) | −18.2934 | + | 45.9129i | −0.642368 | + | 1.61222i | 0.140534 | + | 0.990076i | \(0.455118\pi\) |
−0.782902 | + | 0.622145i | \(0.786261\pi\) | |||||||
\(812\) | 15.7235 | + | 5.29786i | 0.551787 | + | 0.185919i | ||||
\(813\) | −8.96255 | − | 0.974736i | −0.314330 | − | 0.0341855i | ||||
\(814\) | 13.2865 | − | 6.14699i | 0.465691 | − | 0.215452i | ||||
\(815\) | −43.7916 | − | 41.4816i | −1.53395 | − | 1.45304i | ||||
\(816\) | −0.00522888 | + | 0.00314611i | −0.000183047 | + | 0.000110136i | ||||
\(817\) | −7.86248 | + | 0.855096i | −0.275073 | + | 0.0299160i | ||||
\(818\) | −17.0184 | − | 3.74604i | −0.595035 | − | 0.130977i | ||||
\(819\) | 1.52851 | + | 5.50520i | 0.0534105 | + | 0.192367i | ||||
\(820\) | −22.0364 | − | 13.2589i | −0.769546 | − | 0.463020i | ||||
\(821\) | −38.2322 | − | 17.6881i | −1.33431 | − | 0.617319i | −0.382488 | − | 0.923960i | \(-0.624933\pi\) |
−0.951825 | + | 0.306642i | \(0.900795\pi\) | |||||||
\(822\) | 0.604405 | + | 1.51694i | 0.0210810 | + | 0.0529094i | ||||
\(823\) | −2.16299 | − | 39.8941i | −0.0753972 | − | 1.39062i | −0.754367 | − | 0.656453i | \(-0.772056\pi\) |
0.678970 | − | 0.734166i | \(-0.262427\pi\) | |||||||
\(824\) | 10.8001 | − | 15.9289i | 0.376238 | − | 0.554910i | ||||
\(825\) | 27.1869 | 0.946528 | ||||||||
\(826\) | 16.5708 | + | 29.7857i | 0.576573 | + | 1.03638i | ||||
\(827\) | 13.2523 | 0.460828 | 0.230414 | − | 0.973093i | \(-0.425992\pi\) | ||||
0.230414 | + | 0.973093i | \(0.425992\pi\) | |||||||
\(828\) | −4.09995 | + | 6.04697i | −0.142483 | + | 0.210147i | ||||
\(829\) | −1.69488 | − | 31.2602i | −0.0588656 | − | 1.08571i | −0.867512 | − | 0.497417i | \(-0.834282\pi\) |
0.808646 | − | 0.588295i | \(-0.200201\pi\) | |||||||
\(830\) | −5.81899 | − | 14.6046i | −0.201980 | − | 0.506932i | ||||
\(831\) | 9.79220 | + | 4.53035i | 0.339688 | + | 0.157156i | ||||
\(832\) | 4.83992 | + | 2.91208i | 0.167794 | + | 0.100958i | ||||
\(833\) | 1.24127 | + | 4.47066i | 0.0430076 | + | 0.154899i | ||||
\(834\) | −1.92210 | − | 0.423087i | −0.0665570 | − | 0.0146503i | ||||
\(835\) | −68.2060 | + | 7.41785i | −2.36037 | + | 0.256705i | ||||
\(836\) | 6.48041 | − | 3.89913i | 0.224130 | − | 0.134854i | ||||
\(837\) | 1.25883 | + | 1.19243i | 0.0435116 | + | 0.0412164i | ||||
\(838\) | 29.8488 | − | 13.8095i | 1.03111 | − | 0.477041i | ||||
\(839\) | 15.1243 | + | 1.64487i | 0.522149 | + | 0.0567871i | 0.365398 | − | 0.930851i | \(-0.380933\pi\) |
0.156750 | + | 0.987638i | \(0.449898\pi\) | |||||||
\(840\) | −57.2927 | − | 19.3042i | −1.97679 | − | 0.666057i | ||||
\(841\) | 8.10484 | − | 20.3416i | 0.279477 | − | 0.701435i | ||||
\(842\) | 9.66067 | − | 9.15107i | 0.332929 | − | 0.315367i | ||||
\(843\) | −0.160953 | + | 0.579701i | −0.00554352 | + | 0.0199660i | ||||
\(844\) | −11.6521 | + | 21.9782i | −0.401082 | + | 0.756522i | ||||
\(845\) | 39.3631 | + | 29.9231i | 1.35413 | + | 1.02938i | ||||
\(846\) | 0.285066 | − | 5.25774i | 0.00980078 | − | 0.180765i | ||||
\(847\) | −31.0580 | + | 10.4647i | −1.06716 | + | 0.359570i | ||||
\(848\) | −0.000141006 | 0 | 3.10378e-5i | −4.84217e−6 | 0 | 1.06584e-6i | ||||
\(849\) | −4.58217 | − | 8.64289i | −0.157260 | − | 0.296623i | ||||
\(850\) | −0.452767 | + | 2.76176i | −0.0155298 | + | 0.0947275i | ||||
\(851\) | 30.1663 | + | 35.5145i | 1.03409 | + | 1.21742i | ||||
\(852\) | 2.42081 | − | 2.84999i | 0.0829355 | − | 0.0976392i | ||||
\(853\) | 5.85848 | + | 35.7352i | 0.200591 | + | 1.22355i | 0.874607 | + | 0.484832i | \(0.161119\pi\) |
−0.674017 | + | 0.738716i | \(0.735432\pi\) | |||||||
\(854\) | 48.9521 | − | 37.2124i | 1.67511 | − | 1.27338i | ||||
\(855\) | −6.84022 | − | 10.0886i | −0.233931 | − | 0.345022i | ||||
\(856\) | −15.4565 | − | 22.7966i | −0.528293 | − | 0.779173i | ||||
\(857\) | 27.5550 | − | 20.9468i | 0.941261 | − | 0.715528i | −0.0174686 | − | 0.999847i | \(-0.505561\pi\) |
0.958730 | + | 0.284319i | \(0.0917676\pi\) | |||||||
\(858\) | 0.340797 | + | 2.07877i | 0.0116346 | + | 0.0709681i | ||||
\(859\) | 28.6112 | − | 33.6838i | 0.976203 | − | 1.14928i | −0.0125807 | − | 0.999921i | \(-0.504005\pi\) |
0.988784 | − | 0.149354i | \(-0.0477195\pi\) | |||||||
\(860\) | −9.19370 | − | 10.8237i | −0.313503 | − | 0.369084i | ||||
\(861\) | −4.05579 | + | 24.7393i | −0.138221 | + | 0.843111i | ||||
\(862\) | 5.81684 | + | 10.9717i | 0.198122 | + | 0.373698i | ||||
\(863\) | 0.856358 | − | 0.188499i | 0.0291508 | − | 0.00641657i | −0.200371 | − | 0.979720i | \(-0.564215\pi\) |
0.229522 | + | 0.973304i | \(0.426284\pi\) | |||||||
\(864\) | 5.35048 | − | 1.80279i | 0.182027 | − | 0.0613321i | ||||
\(865\) | 5.54547 | − | 102.280i | 0.188552 | − | 3.47763i | ||||
\(866\) | −0.579338 | − | 0.440401i | −0.0196867 | − | 0.0149654i | ||||
\(867\) | 7.93377 | − | 14.9647i | 0.269445 | − | 0.508227i | ||||
\(868\) | 2.88787 | − | 10.4012i | 0.0980205 | − | 0.353038i | ||||
\(869\) | 5.87460 | − | 5.56471i | 0.199282 | − | 0.188770i | ||||
\(870\) | 3.64922 | − | 9.15885i | 0.123720 | − | 0.310514i | ||||
\(871\) | 4.29182 | + | 1.44608i | 0.145423 | + | 0.0489987i | ||||
\(872\) | 29.7743 | + | 3.23815i | 1.00828 | + | 0.109657i | ||||
\(873\) | −8.42804 | + | 3.89923i | −0.285246 | + | 0.131969i | ||||
\(874\) | −10.9270 | − | 10.3506i | −0.369610 | − | 0.350114i | ||||
\(875\) | −142.323 | + | 85.6331i | −4.81140 | + | 2.89493i | ||||
\(876\) | −10.4737 | + | 1.13909i | −0.353875 | + | 0.0384862i | ||||
\(877\) | −33.4034 | − | 7.35266i | −1.12795 | − | 0.248282i | −0.388474 | − | 0.921460i | \(-0.626998\pi\) |
−0.739480 | + | 0.673178i | \(0.764929\pi\) | |||||||
\(878\) | 7.29246 | + | 26.2651i | 0.246108 | + | 0.886403i | ||||
\(879\) | 5.03576 | + | 3.02991i | 0.169852 | + | 0.102196i | ||||
\(880\) | −0.199025 | − | 0.0920788i | −0.00670914 | − | 0.00310398i | ||||
\(881\) | −4.93467 | − | 12.3851i | −0.166253 | − | 0.417264i | 0.822119 | − | 0.569315i | \(-0.192792\pi\) |
−0.988373 | + | 0.152051i | \(0.951412\pi\) | |||||||
\(882\) | 0.882940 | + | 16.2849i | 0.0297301 | + | 0.548340i | ||||
\(883\) | −29.9149 | + | 44.1211i | −1.00672 | + | 1.48479i | −0.137414 | + | 0.990514i | \(0.543879\pi\) |
−0.869302 | + | 0.494281i | \(0.835431\pi\) | |||||||
\(884\) | 0.346824 | 0.0116649 | ||||||||
\(885\) | −29.1187 | + | 14.1929i | −0.978814 | + | 0.477088i | ||||
\(886\) | −16.4052 | −0.551143 | ||||||||
\(887\) | 8.94294 | − | 13.1898i | 0.300275 | − | 0.442872i | −0.647381 | − | 0.762167i | \(-0.724136\pi\) |
0.947655 | + | 0.319295i | \(0.103446\pi\) | |||||||
\(888\) | −1.20412 | − | 22.2088i | −0.0404078 | − | 0.745278i | ||||
\(889\) | 31.6473 | + | 79.4286i | 1.06141 | + | 2.66395i | ||||
\(890\) | −43.0071 | − | 19.8972i | −1.44160 | − | 0.666956i | ||||
\(891\) | 1.82203 | + | 1.09628i | 0.0610404 | + | 0.0367268i | ||||
\(892\) | −4.10587 | − | 14.7880i | −0.137475 | − | 0.495139i | ||||
\(893\) | −16.9440 | − | 3.72966i | −0.567009 | − | 0.124808i | ||||
\(894\) | −13.3117 | + | 1.44774i | −0.445211 | + | 0.0484196i | ||||
\(895\) | 39.2870 | − | 23.6382i | 1.31322 | − | 0.790137i | ||||
\(896\) | −25.3607 | − | 24.0229i | −0.847240 | − | 0.802548i | ||||
\(897\) | −6.08526 | + | 2.81534i | −0.203181 | + | 0.0940015i | ||||
\(898\) | −12.6459 | − | 1.37533i | −0.422001 | − | 0.0458953i | ||||
\(899\) | 4.37936 | + | 1.47558i | 0.146060 | + | 0.0492133i | ||||
\(900\) | 5.82359 | − | 14.6161i | 0.194120 | − | 0.487204i | ||||
\(901\) | −0.00106968 | + | 0.00101325i | −3.56362e−5 | + | 3.37564e-5i | ||||
\(902\) | −2.47277 | + | 8.90609i | −0.0823341 | + | 0.296541i | ||||
\(903\) | −6.48432 | + | 12.2307i | −0.215785 | + | 0.407013i | ||||
\(904\) | 7.68329 | + | 5.84069i | 0.255542 | + | 0.194258i | ||||
\(905\) | 1.62809 | − | 30.0283i | 0.0541195 | − | 0.998176i | ||||
\(906\) | 16.1100 | − | 5.42809i | 0.535218 | − | 0.180336i | ||||
\(907\) | −11.9996 | + | 2.64131i | −0.398439 | + | 0.0877031i | −0.409670 | − | 0.912234i | \(-0.634356\pi\) |
0.0112306 | + | 0.999937i | \(0.496425\pi\) | |||||||
\(908\) | −5.27542 | − | 9.95049i | −0.175071 | − | 0.330219i | ||||
\(909\) | −0.810250 | + | 4.94231i | −0.0268743 | + | 0.163926i | ||||
\(910\) | −13.6827 | − | 16.1085i | −0.453576 | − | 0.533992i | ||||
\(911\) | −28.2078 | + | 33.2088i | −0.934566 | + | 1.10026i | 0.0602110 | + | 0.998186i | \(0.480823\pi\) |
−0.994777 | + | 0.102071i | \(0.967453\pi\) | |||||||
\(912\) | 0.0114343 | + | 0.0697459i | 0.000378626 | + | 0.00230952i | ||||
\(913\) | 7.19426 | − | 5.46893i | 0.238095 | − | 0.180995i | ||||
\(914\) | 2.44709 | + | 3.60919i | 0.0809426 | + | 0.119381i | ||||
\(915\) | 32.7952 | + | 48.3693i | 1.08418 | + | 1.59904i | ||||
\(916\) | 17.5989 | − | 13.3783i | 0.581482 | − | 0.442031i | ||||
\(917\) | −3.23108 | − | 19.7087i | −0.106700 | − | 0.650839i | ||||
\(918\) | −0.141708 | + | 0.166832i | −0.00467707 | + | 0.00550628i | ||||
\(919\) | −6.91028 | − | 8.13540i | −0.227949 | − | 0.268362i | 0.636283 | − | 0.771456i | \(-0.280471\pi\) |
−0.864232 | + | 0.503093i | \(0.832195\pi\) | |||||||
\(920\) | 11.4783 | − | 70.0146i | 0.378429 | − | 2.30831i | ||||
\(921\) | 10.4735 | + | 19.7551i | 0.345113 | + | 0.650951i | ||||
\(922\) | −15.8337 | + | 3.48526i | −0.521455 | + | 0.114781i | ||||
\(923\) | 3.25216 | − | 1.09578i | 0.107046 | − | 0.0360680i | ||||
\(924\) | 0.716688 | − | 13.2185i | 0.0235773 | − | 0.434858i | ||||
\(925\) | −79.8874 | − | 60.7288i | −2.62668 | − | 1.99675i | ||||
\(926\) | 2.81587 | − | 5.31129i | 0.0925352 | − | 0.174540i | ||||
\(927\) | 1.81689 | − | 6.54384i | 0.0596744 | − | 0.214928i | ||||
\(928\) | 10.9246 | − | 10.3483i | 0.358617 | − | 0.339700i | ||||
\(929\) | −9.95108 | + | 24.9753i | −0.326484 | + | 0.819414i | 0.670507 | + | 0.741903i | \(0.266077\pi\) |
−0.996992 | + | 0.0775107i | \(0.975303\pi\) | |||||||
\(930\) | −6.07845 | − | 2.04807i | −0.199320 | − | 0.0671588i | ||||
\(931\) | 53.4222 | + | 5.81001i | 1.75084 | + | 0.190416i | ||||
\(932\) | 7.83482 | − | 3.62478i | 0.256638 | − | 0.118733i | ||||
\(933\) | 15.1126 | + | 14.3154i | 0.494765 | + | 0.468667i | ||||
\(934\) | 6.78028 | − | 4.07956i | 0.221858 | − | 0.133487i | ||||
\(935\) | −2.22474 | + | 0.241955i | −0.0727568 | + | 0.00791278i | ||||
\(936\) | 3.12555 | + | 0.687985i | 0.102162 | + | 0.0224875i | ||||
\(937\) | 8.93176 | + | 32.1693i | 0.291788 | + | 1.05092i | 0.953556 | + | 0.301216i | \(0.0973926\pi\) |
−0.661768 | + | 0.749709i | \(0.730194\pi\) | |||||||
\(938\) | 15.2474 | + | 9.17408i | 0.497847 | + | 0.299544i | ||||
\(939\) | −26.1516 | − | 12.0990i | −0.853424 | − | 0.394836i | ||||
\(940\) | −11.5310 | − | 28.9407i | −0.376101 | − | 0.943942i | ||||
\(941\) | 2.51024 | + | 46.2987i | 0.0818315 | + | 1.50929i | 0.694810 | + | 0.719194i | \(0.255489\pi\) |
−0.612978 | + | 0.790100i | \(0.710029\pi\) | |||||||
\(942\) | −2.51148 | + | 3.70416i | −0.0818286 | + | 0.120688i | ||||
\(943\) | −29.4201 | −0.958049 | ||||||||
\(944\) | 0.187795 | − | 0.00379498i | 0.00611220 | − | 0.000123516i | ||||
\(945\) | −21.3348 | −0.694023 | ||||||||
\(946\) | −2.86427 | + | 4.22449i | −0.0931256 | + | 0.137350i | ||||
\(947\) | −0.481762 | − | 8.88558i | −0.0156552 | − | 0.288742i | −0.995869 | − | 0.0908012i | \(-0.971057\pi\) |
0.980214 | − | 0.197941i | \(-0.0634255\pi\) | |||||||
\(948\) | −1.73330 | − | 4.35027i | −0.0562951 | − | 0.141290i | ||||
\(949\) | −8.77533 | − | 4.05990i | −0.284859 | − | 0.131790i | ||||
\(950\) | 27.7735 | + | 16.7108i | 0.901091 | + | 0.542168i | ||||
\(951\) | −0.870451 | − | 3.13508i | −0.0282263 | − | 0.101662i | ||||
\(952\) | 3.49381 | + | 0.769045i | 0.113235 | + | 0.0249249i | ||||
\(953\) | 25.6246 | − | 2.78685i | 0.830064 | − | 0.0902749i | 0.316786 | − | 0.948497i | \(-0.397396\pi\) |
0.513278 | + | 0.858222i | \(0.328431\pi\) | |||||||
\(954\) | −0.00443764 | + | 0.00267004i | −0.000143674 | + | 8.64457e-5i | ||||
\(955\) | 0.0686138 | + | 0.0649944i | 0.00222029 | + | 0.00210317i | ||||
\(956\) | −14.0703 | + | 6.50961i | −0.455066 | + | 0.210536i | ||||
\(957\) | 5.63406 | + | 0.612741i | 0.182123 | + | 0.0198071i | ||||
\(958\) | 5.38673 | + | 1.81500i | 0.174037 | + | 0.0586400i | ||||
\(959\) | 3.48585 | − | 8.74882i | 0.112564 | − | 0.282514i | ||||
\(960\) | −15.3128 | + | 14.5050i | −0.494218 | + | 0.468148i | ||||
\(961\) | −7.48904 | + | 26.9731i | −0.241582 | + | 0.870100i | ||||
\(962\) | 3.64204 | − | 6.86962i | 0.117424 | − | 0.221485i | ||||
\(963\) | −7.73762 | − | 5.88199i | −0.249341 | − | 0.189544i | ||||
\(964\) | 0.101703 | − | 1.87579i | 0.00327562 | − | 0.0604152i | ||||
\(965\) | 0.255261 | − | 0.0860074i | 0.00821714 | − | 0.00276868i | ||||
\(966\) | −25.7288 | + | 5.66333i | −0.827809 | + | 0.182215i | ||||
\(967\) | 0.827146 | + | 1.56016i | 0.0265992 | + | 0.0501714i | 0.896455 | − | 0.443134i | \(-0.146133\pi\) |
−0.869856 | + | 0.493305i | \(0.835789\pi\) | |||||||
\(968\) | −2.97000 | + | 18.1162i | −0.0954593 | + | 0.582276i | ||||
\(969\) | 0.466927 | + | 0.549709i | 0.0149999 | + | 0.0176592i | ||||
\(970\) | 22.2391 | − | 26.1819i | 0.714053 | − | 0.840649i | ||||
\(971\) | −1.67800 | − | 10.2353i | −0.0538495 | − | 0.328468i | −0.999989 | − | 0.00470806i | \(-0.998501\pi\) |
0.946139 | − | 0.323760i | \(-0.104947\pi\) | |||||||
\(972\) | 0.979667 | − | 0.744723i | 0.0314228 | − | 0.0238870i | ||||
\(973\) | 6.36999 | + | 9.39503i | 0.204212 | + | 0.301191i | ||||
\(974\) | 10.3283 | + | 15.2332i | 0.330941 | + | 0.488102i | ||||
\(975\) | 11.4952 | − | 8.73842i | 0.368141 | − | 0.279853i | ||||
\(976\) | −0.0548211 | − | 0.334394i | −0.00175478 | − | 0.0107037i | ||||
\(977\) | 32.0777 | − | 37.7648i | 1.02626 | − | 1.20820i | 0.0484207 | − | 0.998827i | \(-0.484581\pi\) |
0.977835 | − | 0.209375i | \(-0.0671430\pi\) | |||||||
\(978\) | 8.12208 | + | 9.56205i | 0.259715 | + | 0.305761i | ||||
\(979\) | 4.40683 | − | 26.8805i | 0.140843 | − | 0.859104i | ||||
\(980\) | 45.1974 | + | 85.2514i | 1.44378 | + | 2.72326i | ||||
\(981\) | 10.3219 | − | 2.27202i | 0.329553 | − | 0.0725401i | ||||
\(982\) | −17.0331 | + | 5.73911i | −0.543547 | + | 0.183142i | ||||
\(983\) | −2.83123 | + | 52.2189i | −0.0903021 | + | 1.66552i | 0.505827 | + | 0.862635i | \(0.331187\pi\) |
−0.596129 | + | 0.802889i | \(0.703295\pi\) | |||||||
\(984\) | 11.1792 | + | 8.49822i | 0.356380 | + | 0.270913i | ||||
\(985\) | −11.6935 | + | 22.0563i | −0.372586 | + | 0.702772i | ||||
\(986\) | −0.156073 | + | 0.562125i | −0.00497039 | + | 0.0179017i | ||||
\(987\) | −22.0471 | + | 20.8841i | −0.701766 | + | 0.664748i | ||||
\(988\) | 1.48679 | − | 3.73157i | 0.0473011 | − | 0.118717i | ||||
\(989\) | −15.3953 | − | 5.18727i | −0.489541 | − | 0.164945i | ||||
\(990\) | −7.81994 | − | 0.850470i | −0.248534 | − | 0.0270297i | ||||
\(991\) | 34.6827 | − | 16.0459i | 1.10173 | − | 0.509716i | 0.217168 | − | 0.976134i | \(-0.430318\pi\) |
0.884564 | + | 0.466419i | \(0.154456\pi\) | |||||||
\(992\) | −7.10741 | − | 6.73250i | −0.225661 | − | 0.213757i | ||||
\(993\) | 14.1549 | − | 8.51672i | 0.449192 | − | 0.270270i | ||||
\(994\) | 13.4049 | − | 1.45788i | 0.425179 | − | 0.0462410i | ||||
\(995\) | −38.7351 | − | 8.52624i | −1.22798 | − | 0.270300i | ||||
\(996\) | −1.39913 | − | 5.03922i | −0.0443332 | − | 0.159674i | ||||
\(997\) | 7.64533 | + | 4.60004i | 0.242130 | + | 0.145685i | 0.631447 | − | 0.775419i | \(-0.282461\pi\) |
−0.389317 | + | 0.921104i | \(0.627289\pi\) | |||||||
\(998\) | 17.7905 | + | 8.23077i | 0.563149 | + | 0.260540i | ||||
\(999\) | −2.90513 | − | 7.29133i | −0.0919143 | − | 0.230687i |
(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 | 177.2.e.b.76.2 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.253.4 | 140 | |||
59.7 | even | 29 | inner | 177.2.e.b.7.2 | ✓ | 140 | |
177.125 | odd | 58 | 531.2.i.b.361.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.7.2 | ✓ | 140 | 59.7 | even | 29 | inner | |
177.2.e.b.76.2 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.253.4 | 140 | 3.2 | odd | 2 | |||
531.2.i.b.361.4 | 140 | 177.125 | odd | 58 |