Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(4,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(68))
chi = DirichletCharacter(H, H._module([27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.h (of order \(68\), degree \(32\), 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{68})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{68}]$ |
Embedding invariants
Embedding label | 115.13 | ||
Character | \(\chi\) | \(=\) | 289.115 |
Dual form | 289.2.h.a.191.13 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{45}{68}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00255620 | − | 0.00280401i | 0.00180750 | − | 0.00198274i | −0.738105 | − | 0.674686i | \(-0.764279\pi\) |
0.739912 | + | 0.672704i | \(0.234867\pi\) | |||||||
\(3\) | 1.02209 | − | 1.83500i | 0.590103 | − | 1.05944i | −0.399653 | − | 0.916666i | \(-0.630869\pi\) |
0.989756 | − | 0.142771i | \(-0.0456011\pi\) | |||||||
\(4\) | 0.184535 | + | 1.99145i | 0.0922677 | + | 0.995727i | ||||
\(5\) | −0.387668 | + | 2.77910i | −0.173370 | + | 1.24285i | 0.684510 | + | 0.729003i | \(0.260016\pi\) |
−0.857881 | + | 0.513849i | \(0.828219\pi\) | |||||||
\(6\) | −0.00253271 | − | 0.00755656i | −0.00103397 | − | 0.00308495i | ||||
\(7\) | 0.121150 | − | 0.515098i | 0.0457904 | − | 0.194689i | −0.945663 | − | 0.325147i | \(-0.894586\pi\) |
0.991454 | + | 0.130459i | \(0.0416450\pi\) | |||||||
\(8\) | 0.0121116 | + | 0.00914625i | 0.00428209 | + | 0.00323369i | ||||
\(9\) | −0.743261 | − | 1.20041i | −0.247754 | − | 0.400136i | ||||
\(10\) | 0.00680168 | + | 0.00819096i | 0.00215088 | + | 0.00259021i | ||||
\(11\) | 3.29081 | + | 2.73265i | 0.992216 | + | 0.823926i | 0.984382 | − | 0.176044i | \(-0.0563300\pi\) |
0.00783363 | + | 0.999969i | \(0.497506\pi\) | |||||||
\(12\) | 3.84293 | + | 1.69682i | 1.10936 | + | 0.489829i | ||||
\(13\) | −0.720254 | + | 0.953771i | −0.199763 | + | 0.264528i | −0.886861 | − | 0.462036i | \(-0.847119\pi\) |
0.687099 | + | 0.726564i | \(0.258884\pi\) | |||||||
\(14\) | −0.00113466 | − | 0.00165640i | −0.000303250 | − | 0.000442691i | ||||
\(15\) | 4.70342 | + | 3.55186i | 1.21442 | + | 0.917085i | ||||
\(16\) | −3.93181 | + | 0.734982i | −0.982952 | + | 0.183746i | ||||
\(17\) | −1.08732 | − | 3.97715i | −0.263713 | − | 0.964601i | ||||
\(18\) | −0.00526588 | 0.000984363i | −0.00124118 | 0.000232017i | ||||||
\(19\) | 1.13021 | + | 1.23978i | 0.259288 | + | 0.284426i | 0.854840 | − | 0.518891i | \(-0.173655\pi\) |
−0.595552 | + | 0.803317i | \(0.703067\pi\) | |||||||
\(20\) | −5.60599 | − | 0.259181i | −1.25354 | − | 0.0579546i | ||||
\(21\) | −0.821378 | − | 0.748785i | −0.179239 | − | 0.163398i | ||||
\(22\) | 0.0160743 | − | 0.00224228i | 0.00342706 | − | 0.000478055i | ||||
\(23\) | 0.827033 | − | 3.51633i | 0.172448 | − | 0.733205i | −0.815543 | − | 0.578696i | \(-0.803562\pi\) |
0.987991 | − | 0.154509i | \(-0.0493795\pi\) | |||||||
\(24\) | 0.0291625 | − | 0.0128765i | 0.00595276 | − | 0.00262840i | ||||
\(25\) | −2.76399 | − | 0.786424i | −0.552799 | − | 0.157285i | ||||
\(26\) | 0.000833275 | 0.00445763i | 0.000163419 | 0.000874213i | ||||||
\(27\) | 3.33220 | − | 0.154057i | 0.641282 | − | 0.0296483i | ||||
\(28\) | 1.04815 | + | 0.146211i | 0.198082 | + | 0.0276312i | ||||
\(29\) | 5.48908 | − | 6.61025i | 1.01930 | − | 1.22749i | 0.0457618 | − | 0.998952i | \(-0.485428\pi\) |
0.973535 | − | 0.228540i | \(-0.0733950\pi\) | |||||||
\(30\) | 0.0219823 | − | 0.00410921i | 0.00401340 | − | 0.000750235i | ||||
\(31\) | −3.81076 | + | 0.531578i | −0.684432 | + | 0.0954742i | −0.471863 | − | 0.881672i | \(-0.656418\pi\) |
−0.212569 | + | 0.977146i | \(0.568183\pi\) | |||||||
\(32\) | −0.0239690 | + | 0.0387113i | −0.00423716 | + | 0.00684325i | ||||
\(33\) | 8.37791 | − | 3.24562i | 1.45841 | − | 0.564990i | ||||
\(34\) | −0.0139314 | − | 0.00711753i | −0.00238921 | − | 0.00122065i | ||||
\(35\) | 1.38454 | + | 0.536375i | 0.234031 | + | 0.0906639i | ||||
\(36\) | 2.25340 | − | 1.70169i | 0.375566 | − | 0.283614i | ||||
\(37\) | −1.93707 | − | 4.38704i | −0.318452 | − | 0.721225i | 0.681492 | − | 0.731826i | \(-0.261331\pi\) |
−0.999944 | + | 0.0106008i | \(0.996626\pi\) | |||||||
\(38\) | 0.00636541 | 0.00103261 | ||||||||
\(39\) | 1.01401 | + | 2.29650i | 0.162371 | + | 0.367735i | ||||
\(40\) | −0.0301136 | + | 0.0301136i | −0.00476138 | + | 0.00476138i | ||||
\(41\) | −4.97550 | − | 2.77133i | −0.777042 | − | 0.432809i | 0.0473149 | − | 0.998880i | \(-0.484934\pi\) |
−0.824357 | + | 0.566071i | \(0.808463\pi\) | |||||||
\(42\) | −0.00419921 | 0.000389114i | −0.000647952 | 6.00416e-5i | ||||||
\(43\) | −1.13069 | + | 6.04865i | −0.172428 | + | 0.922410i | 0.781845 | + | 0.623473i | \(0.214279\pi\) |
−0.954273 | + | 0.298937i | \(0.903368\pi\) | |||||||
\(44\) | −4.83468 | + | 7.05776i | −0.728856 | + | 1.06400i | ||||
\(45\) | 3.62419 | − | 1.60024i | 0.540263 | − | 0.238549i | ||||
\(46\) | −0.00774578 | − | 0.0113074i | −0.00114205 | − | 0.00166719i | ||||
\(47\) | −7.76186 | − | 4.80594i | −1.13218 | − | 0.701019i | −0.173315 | − | 0.984866i | \(-0.555448\pi\) |
−0.958869 | + | 0.283848i | \(0.908389\pi\) | |||||||
\(48\) | −2.66996 | + | 7.96608i | −0.385376 | + | 1.14980i | ||||
\(49\) | 6.01549 | + | 2.99536i | 0.859356 | + | 0.427909i | ||||
\(50\) | −0.00927045 | + | 0.00574002i | −0.00131104 | + | 0.000811762i | ||||
\(51\) | −8.40940 | − | 2.06977i | −1.17755 | − | 0.289826i | ||||
\(52\) | −2.03230 | − | 1.25835i | −0.281830 | − | 0.174502i | ||||
\(53\) | −2.32379 | − | 3.75305i | −0.319197 | − | 0.515521i | 0.650604 | − | 0.759417i | \(-0.274516\pi\) |
−0.969801 | + | 0.243896i | \(0.921575\pi\) | |||||||
\(54\) | 0.00808578 | − | 0.00973733i | 0.00110033 | − | 0.00132508i | ||||
\(55\) | −8.87006 | + | 8.08613i | −1.19604 | + | 1.09033i | ||||
\(56\) | 0.00617853 | − | 0.00513059i | 0.000825641 | − | 0.000685604i | ||||
\(57\) | 3.43017 | − | 0.806769i | 0.454337 | − | 0.106859i | ||||
\(58\) | −0.00450406 | − | 0.0322885i | −0.000591412 | − | 0.00423969i | ||||
\(59\) | −4.62575 | + | 2.30335i | −0.602221 | + | 0.299871i | −0.720875 | − | 0.693065i | \(-0.756260\pi\) |
0.118654 | + | 0.992936i | \(0.462142\pi\) | |||||||
\(60\) | −6.20541 | + | 10.0221i | −0.801115 | + | 1.29385i | ||||
\(61\) | 3.06051 | + | 9.13131i | 0.391858 | + | 1.16914i | 0.942443 | + | 0.334366i | \(0.108522\pi\) |
−0.550586 | + | 0.834779i | \(0.685596\pi\) | |||||||
\(62\) | −0.00825049 | + | 0.0120442i | −0.00104781 | + | 0.00152962i | ||||
\(63\) | −0.708373 | + | 0.237423i | −0.0892466 | + | 0.0299125i | ||||
\(64\) | −2.18921 | − | 7.69427i | −0.273651 | − | 0.961784i | ||||
\(65\) | −2.37141 | − | 2.37141i | −0.294137 | − | 0.294137i | ||||
\(66\) | 0.0123148 | − | 0.0317882i | 0.00151585 | − | 0.00391286i | ||||
\(67\) | 9.90446 | − | 9.02911i | 1.21002 | − | 1.10308i | 0.218141 | − | 0.975917i | \(-0.430001\pi\) |
0.991882 | − | 0.127164i | \(-0.0405874\pi\) | |||||||
\(68\) | 7.71967 | − | 2.89927i | 0.936147 | − | 0.351588i | ||||
\(69\) | −5.60716 | − | 5.11160i | −0.675023 | − | 0.615364i | ||||
\(70\) | 0.00504317 | − | 0.00251120i | 0.000602774 | − | 0.000300146i | ||||
\(71\) | −7.36953 | − | 1.73330i | −0.874602 | − | 0.205705i | −0.232753 | − | 0.972536i | \(-0.574773\pi\) |
−0.641849 | + | 0.766831i | \(0.721832\pi\) | |||||||
\(72\) | 0.00197715 | − | 0.0213369i | 0.000233010 | − | 0.00251458i | ||||
\(73\) | 1.45673 | + | 0.997886i | 0.170498 | + | 0.116794i | 0.647360 | − | 0.762184i | \(-0.275873\pi\) |
−0.476862 | + | 0.878978i | \(0.658226\pi\) | |||||||
\(74\) | −0.0172528 | − | 0.00578257i | −0.00200560 | − | 0.000672210i | ||||
\(75\) | −4.26813 | + | 4.26813i | −0.492841 | + | 0.492841i | ||||
\(76\) | −2.26041 | + | 2.47955i | −0.259286 | + | 0.284423i | ||||
\(77\) | 1.80626 | − | 1.36403i | 0.205843 | − | 0.155445i | ||||
\(78\) | 0.00903142 | + | 0.00302703i | 0.00102261 | + | 0.000342743i | ||||
\(79\) | −0.555153 | + | 12.0078i | −0.0624596 | + | 1.35098i | 0.704692 | + | 0.709514i | \(0.251085\pi\) |
−0.767151 | + | 0.641466i | \(0.778326\pi\) | |||||||
\(80\) | −0.518354 | − | 11.2118i | −0.0579537 | − | 1.25352i | ||||
\(81\) | 5.01110 | − | 10.0636i | 0.556788 | − | 1.11818i | ||||
\(82\) | −0.0204892 | + | 0.00686729i | −0.00226265 | + | 0.000758365i | ||||
\(83\) | −2.71925 | − | 0.773694i | −0.298477 | − | 0.0849239i | 0.121110 | − | 0.992639i | \(-0.461354\pi\) |
−0.419587 | + | 0.907715i | \(0.637825\pi\) | |||||||
\(84\) | 1.33960 | − | 1.77391i | 0.146162 | − | 0.193550i | ||||
\(85\) | 11.4744 | − | 1.47995i | 1.24458 | − | 0.160523i | ||||
\(86\) | 0.0140702 | + | 0.0186320i | 0.00151723 | + | 0.00200914i | ||||
\(87\) | −6.51947 | − | 16.8287i | −0.698961 | − | 1.80423i | ||||
\(88\) | 0.0148634 | + | 0.0631953i | 0.00158444 | + | 0.00673664i | ||||
\(89\) | −7.72143 | − | 10.2248i | −0.818470 | − | 1.08383i | −0.995034 | − | 0.0995405i | \(-0.968263\pi\) |
0.176563 | − | 0.984289i | \(-0.443502\pi\) | |||||||
\(90\) | 0.00477706 | − | 0.0142528i | 0.000503546 | − | 0.00150238i | ||||
\(91\) | 0.404027 | + | 0.486551i | 0.0423535 | + | 0.0510044i | ||||
\(92\) | 7.15522 | + | 0.998111i | 0.745984 | + | 0.104060i | ||||
\(93\) | −2.91948 | + | 7.53605i | −0.302736 | + | 0.781452i | ||||
\(94\) | −0.0333168 | + | 0.00947944i | −0.00343636 | + | 0.000977730i | ||||
\(95\) | −3.88363 | + | 2.66035i | −0.398452 | + | 0.272946i | ||||
\(96\) | 0.0465367 | + | 0.0835494i | 0.00474963 | + | 0.00852722i | ||||
\(97\) | −4.89505 | − | 1.15130i | −0.497017 | − | 0.116897i | −0.0271442 | − | 0.999632i | \(-0.508641\pi\) |
−0.469873 | + | 0.882734i | \(0.655700\pi\) | |||||||
\(98\) | 0.0237758 | − | 0.00921080i | 0.00240172 | − | 0.000930431i | ||||
\(99\) | 0.834367 | − | 5.98138i | 0.0838571 | − | 0.601151i | ||||
\(100\) | 1.05607 | − | 5.64949i | 0.105607 | − | 0.564949i | ||||
\(101\) | 2.56852 | − | 5.15828i | 0.255577 | − | 0.513268i | −0.729799 | − | 0.683662i | \(-0.760386\pi\) |
0.985376 | + | 0.170394i | \(0.0545040\pi\) | |||||||
\(102\) | −0.0272998 | + | 0.0182893i | −0.00270308 | + | 0.00181091i | ||||
\(103\) | 0.923177 | + | 1.85399i | 0.0909634 | + | 0.182679i | 0.935973 | − | 0.352072i | \(-0.114523\pi\) |
−0.845009 | + | 0.534751i | \(0.820405\pi\) | |||||||
\(104\) | −0.0174469 | + | 0.00496406i | −0.00171080 | + | 0.000486766i | ||||
\(105\) | 2.39937 | − | 1.99241i | 0.234155 | − | 0.194440i | ||||
\(106\) | −0.0164637 | − | 0.00307759i | −0.00159909 | − | 0.000298922i | ||||
\(107\) | 6.28289 | + | 0.290476i | 0.607390 | + | 0.0280813i | 0.347693 | − | 0.937609i | \(-0.386965\pi\) |
0.259698 | + | 0.965690i | \(0.416377\pi\) | |||||||
\(108\) | 0.921706 | + | 6.60749i | 0.0886912 | + | 0.635806i | ||||
\(109\) | −5.75196 | − | 10.3267i | −0.550938 | − | 0.989123i | −0.995625 | − | 0.0934371i | \(-0.970215\pi\) |
0.444687 | − | 0.895686i | \(-0.353315\pi\) | |||||||
\(110\) | 0.0455415i | 0.00434221i | ||||||||
\(111\) | −10.0301 | − | 0.929422i | −0.952011 | − | 0.0882169i | ||||
\(112\) | −0.0977504 | + | 2.11431i | −0.00923654 | + | 0.199783i | ||||
\(113\) | 13.1442 | + | 7.32126i | 1.23650 | + | 0.688726i | 0.962050 | − | 0.272875i | \(-0.0879744\pi\) |
0.274451 | + | 0.961601i | \(0.411504\pi\) | |||||||
\(114\) | 0.00650600 | − | 0.0116805i | 0.000609343 | − | 0.00109398i | ||||
\(115\) | 9.45162 | + | 3.66158i | 0.881368 | + | 0.341444i | ||||
\(116\) | 14.1769 | + | 9.71142i | 1.31630 | + | 0.901683i | ||||
\(117\) | 1.68025 | + | 0.155698i | 0.155339 | + | 0.0143943i | ||||
\(118\) | −0.00536570 | + | 0.0188585i | −0.000493953 | + | 0.00173606i | ||||
\(119\) | −2.18035 | + | 0.0782425i | −0.199872 | + | 0.00717248i | ||||
\(120\) | 0.0244797 | + | 0.0860373i | 0.00223468 | + | 0.00785409i | ||||
\(121\) | 1.34078 | + | 7.17257i | 0.121890 | + | 0.652051i | ||||
\(122\) | 0.0334276 | + | 0.0147597i | 0.00302639 | + | 0.00133628i | ||||
\(123\) | −10.1708 | + | 6.29748i | −0.917069 | + | 0.567825i | ||||
\(124\) | −1.76183 | − | 7.49085i | −0.158217 | − | 0.672698i | ||||
\(125\) | −2.40997 | + | 5.45806i | −0.215554 | + | 0.488184i | ||||
\(126\) | −0.00114500 | + | 0.00259319i | −0.000102005 | + | 0.000231019i | ||||
\(127\) | −3.74448 | − | 9.66563i | −0.332269 | − | 0.857686i | −0.994143 | − | 0.108071i | \(-0.965533\pi\) |
0.661874 | − | 0.749615i | \(-0.269761\pi\) | |||||||
\(128\) | −0.108686 | − | 0.0541194i | −0.00960661 | − | 0.00478352i | ||||
\(129\) | 9.94360 | + | 8.25706i | 0.875485 | + | 0.726993i | ||||
\(130\) | −0.0127112 | 0.000587676i | −0.00111485 | 5.15426e-5i | ||||||
\(131\) | 13.2008 | + | 13.2008i | 1.15336 | + | 1.15336i | 0.985876 | + | 0.167480i | \(0.0535628\pi\) |
0.167480 | + | 0.985876i | \(0.446437\pi\) | |||||||
\(132\) | 8.00952 | + | 16.0853i | 0.697139 | + | 1.40004i | ||||
\(133\) | 0.775534 | − | 0.431970i | 0.0672473 | − | 0.0374565i | ||||
\(134\) | − | 0.0508524i | − | 0.00439298i | ||||||
\(135\) | −0.863648 | + | 9.32024i | −0.0743310 | + | 0.802159i | ||||
\(136\) | 0.0232069 | − | 0.0581145i | 0.00198998 | − | 0.00498328i | ||||
\(137\) | −1.44809 | − | 15.6273i | −0.123718 | − | 1.33513i | −0.800670 | − | 0.599106i | \(-0.795523\pi\) |
0.676952 | − | 0.736027i | \(-0.263301\pi\) | |||||||
\(138\) | −0.0286660 | + | 0.00265630i | −0.00244021 | + | 0.000226119i | ||||
\(139\) | 0.355592 | + | 7.69133i | 0.0301609 | + | 0.652370i | 0.959258 | + | 0.282533i | \(0.0911747\pi\) |
−0.929097 | + | 0.369837i | \(0.879414\pi\) | |||||||
\(140\) | −0.812669 | + | 2.85624i | −0.0686831 | + | 0.241396i | ||||
\(141\) | −16.7522 | + | 9.33092i | −1.41079 | + | 0.785805i | ||||
\(142\) | −0.0236982 | + | 0.0162336i | −0.00198870 | + | 0.00136229i | ||||
\(143\) | −4.97654 | + | 1.17047i | −0.416159 | + | 0.0978798i | ||||
\(144\) | 3.80464 | + | 4.17349i | 0.317053 | + | 0.347790i | ||||
\(145\) | 16.2426 | + | 17.8173i | 1.34888 | + | 1.47965i | ||||
\(146\) | 0.00652179 | − | 0.00153391i | 0.000539747 | − | 0.000126947i | ||||
\(147\) | 11.6448 | − | 7.97690i | 0.960451 | − | 0.657924i | ||||
\(148\) | 8.37913 | − | 4.66714i | 0.688760 | − | 0.383637i | ||||
\(149\) | −0.642806 | + | 2.25923i | −0.0526607 | + | 0.185083i | −0.983694 | − | 0.179852i | \(-0.942438\pi\) |
0.931033 | + | 0.364935i | \(0.118909\pi\) | |||||||
\(150\) | 0.00105772 | + | 0.0228781i | 8.63622e−5 | + | 0.00186799i | ||||
\(151\) | −9.52932 | + | 0.883022i | −0.775485 | + | 0.0718593i | −0.472728 | − | 0.881208i | \(-0.656731\pi\) |
−0.302757 | + | 0.953068i | \(0.597907\pi\) | |||||||
\(152\) | 0.00234929 | + | 0.0253529i | 0.000190553 | + | 0.00205639i | ||||
\(153\) | −3.96604 | + | 4.26128i | −0.320636 | + | 0.344504i | ||||
\(154\) | 0.000792414 | − | 0.00855151i | 6.38546e−5 | − | 0.000689101i | ||||
\(155\) | − | 10.7966i | − | 0.867201i | ||||||
\(156\) | −4.38626 | + | 2.44313i | −0.351182 | + | 0.195607i | ||||
\(157\) | −2.69120 | − | 5.40465i | −0.214781 | − | 0.431338i | 0.761404 | − | 0.648278i | \(-0.224510\pi\) |
−0.976185 | + | 0.216939i | \(0.930393\pi\) | |||||||
\(158\) | 0.0322509 | + | 0.0322509i | 0.00256574 | + | 0.00256574i | ||||
\(159\) | −9.26196 | + | 0.428206i | −0.734521 | + | 0.0339590i | ||||
\(160\) | −0.0982905 | − | 0.0816194i | −0.00777055 | − | 0.00645258i | ||||
\(161\) | −1.71106 | − | 0.852006i | −0.134850 | − | 0.0671475i | ||||
\(162\) | −0.0154092 | − | 0.0397758i | −0.00121066 | − | 0.00312508i | ||||
\(163\) | 2.20723 | − | 4.99890i | 0.172884 | − | 0.391544i | −0.807158 | − | 0.590335i | \(-0.798996\pi\) |
0.980042 | + | 0.198791i | \(0.0637015\pi\) | |||||||
\(164\) | 4.60083 | − | 10.4199i | 0.359264 | − | 0.813656i | ||||
\(165\) | 5.77206 | + | 24.5413i | 0.449354 | + | 1.91054i | ||||
\(166\) | −0.00912039 | + | 0.00564710i | −0.000707879 | + | 0.000438300i | ||||
\(167\) | 12.9614 | + | 5.72301i | 1.00298 | + | 0.442860i | 0.839309 | − | 0.543654i | \(-0.182960\pi\) |
0.163673 | + | 0.986515i | \(0.447666\pi\) | |||||||
\(168\) | −0.00309962 | − | 0.0165815i | −0.000239141 | − | 0.00127929i | ||||
\(169\) | 3.16671 | + | 11.1298i | 0.243593 | + | 0.856140i | ||||
\(170\) | 0.0251811 | − | 0.0359575i | 0.00193130 | − | 0.00275781i | ||||
\(171\) | 0.648202 | − | 2.27819i | 0.0495693 | − | 0.174218i | ||||
\(172\) | −12.2543 | − | 1.13552i | −0.934378 | − | 0.0865829i | ||||
\(173\) | −4.37879 | − | 2.99954i | −0.332913 | − | 0.228051i | 0.387057 | − | 0.922056i | \(-0.373492\pi\) |
−0.719970 | + | 0.694005i | \(0.755845\pi\) | |||||||
\(174\) | −0.0638530 | − | 0.0247368i | −0.00484068 | − | 0.00187529i | ||||
\(175\) | −0.739943 | + | 1.32845i | −0.0559344 | + | 0.100422i | ||||
\(176\) | −14.9473 | − | 8.32558i | −1.12669 | − | 0.627564i | ||||
\(177\) | −0.501278 | + | 10.8425i | −0.0376783 | + | 0.814970i | ||||
\(178\) | −0.0484081 | − | 0.00448567i | −0.00362834 | − | 0.000336215i | ||||
\(179\) | − | 21.5274i | − | 1.60903i | −0.593929 | − | 0.804517i | \(-0.702424\pi\) | ||
0.593929 | − | 0.804517i | \(-0.297576\pi\) | |||||||
\(180\) | 3.85559 | + | 6.92211i | 0.287379 | + | 0.515944i | ||||
\(181\) | 1.27456 | + | 9.13701i | 0.0947372 | + | 0.679149i | 0.977746 | + | 0.209792i | \(0.0672788\pi\) |
−0.883009 | + | 0.469356i | \(0.844486\pi\) | |||||||
\(182\) | 0.00239707 | 0.000110823i | 0.000177682 | 8.21475e-6i | ||||||
\(183\) | 19.8840 | + | 3.71697i | 1.46987 | + | 0.274766i | ||||
\(184\) | 0.0421779 | − | 0.0350241i | 0.00310940 | − | 0.00258201i | ||||
\(185\) | 12.9430 | − | 3.68259i | 0.951586 | − | 0.270750i | ||||
\(186\) | 0.0136684 | + | 0.0274499i | 0.00100222 | + | 0.00201272i | ||||
\(187\) | 7.29003 | − | 16.0593i | 0.533100 | − | 1.17437i | ||||
\(188\) | 8.13848 | − | 16.3443i | 0.593559 | − | 1.19203i | ||||
\(189\) | 0.324341 | − | 1.73507i | 0.0235924 | − | 0.126208i | ||||
\(190\) | −0.00246767 | + | 0.0176901i | −0.000179023 | + | 0.00128338i | ||||
\(191\) | 21.4024 | − | 8.29135i | 1.54863 | − | 0.599941i | 0.573033 | − | 0.819532i | \(-0.305767\pi\) |
0.975592 | + | 0.219591i | \(0.0704724\pi\) | |||||||
\(192\) | −16.3565 | − | 3.84702i | −1.18043 | − | 0.277635i | ||||
\(193\) | 5.55921 | + | 9.98069i | 0.400161 | + | 0.718426i | 0.996436 | − | 0.0843541i | \(-0.0268827\pi\) |
−0.596275 | + | 0.802780i | \(0.703353\pi\) | |||||||
\(194\) | −0.0157410 | + | 0.0107828i | −0.00113014 | + | 0.000774161i | ||||
\(195\) | −6.77531 | + | 1.92774i | −0.485190 | + | 0.138049i | ||||
\(196\) | −4.85505 | + | 12.5323i | −0.346789 | + | 0.895166i | ||||
\(197\) | 4.93320 | + | 0.688152i | 0.351476 | + | 0.0490288i | 0.311702 | − | 0.950180i | \(-0.399101\pi\) |
0.0397740 | + | 0.999209i | \(0.487336\pi\) | |||||||
\(198\) | −0.0146391 | − | 0.0176292i | −0.00104035 | − | 0.00125285i | ||||
\(199\) | −0.347020 | + | 1.03537i | −0.0245996 | + | 0.0733952i | −0.959750 | − | 0.280856i | \(-0.909382\pi\) |
0.935150 | + | 0.354251i | \(0.115264\pi\) | |||||||
\(200\) | −0.0262835 | − | 0.0348050i | −0.00185853 | − | 0.00246109i | ||||
\(201\) | −6.44518 | − | 27.4032i | −0.454608 | − | 1.93287i | ||||
\(202\) | −0.00789825 | − | 0.0203877i | −0.000555719 | − | 0.00143448i | ||||
\(203\) | −2.73992 | − | 3.62824i | −0.192305 | − | 0.254653i | ||||
\(204\) | 2.57003 | − | 17.1289i | 0.179938 | − | 1.19926i | ||||
\(205\) | 9.63066 | − | 12.7531i | 0.672634 | − | 0.890712i | ||||
\(206\) | 0.00755844 | + | 0.00215056i | 0.000526621 | + | 0.000149837i | ||||
\(207\) | −4.83573 | + | 1.62077i | −0.336106 | + | 0.112651i | ||||
\(208\) | 2.13090 | − | 4.27942i | 0.147751 | − | 0.296724i | ||||
\(209\) | 0.331413 | + | 7.16836i | 0.0229243 | + | 0.495846i | ||||
\(210\) | 0.000546512 | − | 0.0118209i | 3.77129e−5 | − | 0.000815718i | ||||
\(211\) | 0.708278 | + | 0.237391i | 0.0487599 | + | 0.0163427i | 0.342066 | − | 0.939676i | \(-0.388873\pi\) |
−0.293306 | + | 0.956018i | \(0.594756\pi\) | |||||||
\(212\) | 7.04521 | − | 5.32029i | 0.483867 | − | 0.365399i | ||||
\(213\) | −10.7129 | + | 11.7515i | −0.734036 | + | 0.805199i | ||||
\(214\) | 0.0168748 | − | 0.0168748i | 0.00115354 | − | 0.00115354i | ||||
\(215\) | −16.3715 | − | 5.48717i | −1.11653 | − | 0.374222i | ||||
\(216\) | 0.0417673 | + | 0.0286112i | 0.00284190 | + | 0.00194675i | ||||
\(217\) | −0.187858 | + | 2.02731i | −0.0127527 | + | 0.137623i | ||||
\(218\) | −0.0436595 | − | 0.0102686i | −0.00295699 | − | 0.000695479i | ||||
\(219\) | 3.32003 | − | 1.65318i | 0.224347 | − | 0.111711i | ||||
\(220\) | −17.7400 | − | 16.1721i | −1.19603 | − | 1.09033i | ||||
\(221\) | 4.57644 | + | 1.82751i | 0.307844 | + | 0.122932i | ||||
\(222\) | −0.0282449 | + | 0.0257487i | −0.00189568 | + | 0.00172814i | ||||
\(223\) | −6.87425 | + | 17.7445i | −0.460334 | + | 1.18826i | 0.488523 | + | 0.872551i | \(0.337536\pi\) |
−0.948857 | + | 0.315707i | \(0.897758\pi\) | |||||||
\(224\) | 0.0170363 | + | 0.0170363i | 0.00113828 | + | 0.00113828i | ||||
\(225\) | 1.11034 | + | 3.90243i | 0.0740225 | + | 0.260162i | ||||
\(226\) | 0.0541280 | − | 0.0181419i | 0.00360054 | − | 0.00120678i | ||||
\(227\) | −1.16969 | + | 1.70753i | −0.0776349 | + | 0.113333i | −0.861867 | − | 0.507135i | \(-0.830704\pi\) |
0.784232 | + | 0.620468i | \(0.213057\pi\) | |||||||
\(228\) | 2.23963 | + | 6.68215i | 0.148323 | + | 0.442536i | ||||
\(229\) | −13.9209 | + | 22.4831i | −0.919921 | + | 1.48572i | −0.0464079 | + | 0.998923i | \(0.514777\pi\) |
−0.873513 | + | 0.486801i | \(0.838164\pi\) | |||||||
\(230\) | 0.0344273 | − | 0.0171428i | 0.00227007 | − | 0.00113036i | ||||
\(231\) | −0.656828 | − | 4.70865i | −0.0432161 | − | 0.309806i | ||||
\(232\) | 0.126940 | − | 0.0298561i | 0.00833405 | − | 0.00196015i | ||||
\(233\) | −5.45147 | + | 4.52685i | −0.357138 | + | 0.296564i | −0.799969 | − | 0.600042i | \(-0.795151\pi\) |
0.442831 | + | 0.896605i | \(0.353974\pi\) | |||||||
\(234\) | 0.00473163 | − | 0.00431345i | 0.000309316 | − | 0.000281979i | ||||
\(235\) | 16.3652 | − | 19.7079i | 1.06755 | − | 1.28560i | ||||
\(236\) | −5.44063 | − | 8.78692i | −0.354155 | − | 0.571980i | ||||
\(237\) | 21.4668 | + | 13.2917i | 1.39442 | + | 0.863389i | ||||
\(238\) | −0.00535401 | + | 0.00631374i | −0.000347049 | + | 0.000409259i | ||||
\(239\) | −16.2737 | + | 10.0763i | −1.05266 | + | 0.651779i | −0.939763 | − | 0.341828i | \(-0.888954\pi\) |
−0.112897 | + | 0.993607i | \(0.536013\pi\) | |||||||
\(240\) | −21.1035 | − | 10.5083i | −1.36222 | − | 0.678307i | ||||
\(241\) | 3.96694 | − | 11.8357i | 0.255533 | − | 0.762406i | −0.740388 | − | 0.672179i | \(-0.765358\pi\) |
0.995921 | − | 0.0902271i | \(-0.0287593\pi\) | |||||||
\(242\) | 0.0235393 | + | 0.0145749i | 0.00151316 | + | 0.000936911i | ||||
\(243\) | −7.68951 | − | 11.2253i | −0.493282 | − | 0.720103i | ||||
\(244\) | −17.6198 | + | 7.77991i | −1.12799 | + | 0.498058i | ||||
\(245\) | −10.6564 | + | 15.5565i | −0.680814 | + | 0.993866i | ||||
\(246\) | −0.00834029 | + | 0.0446166i | −0.000531758 | + | 0.00284465i | ||||
\(247\) | −1.99651 | + | 0.185004i | −0.127035 | + | 0.0117715i | ||||
\(248\) | −0.0510163 | − | 0.0284159i | −0.00323954 | − | 0.00180441i | ||||
\(249\) | −4.19904 | + | 4.19904i | −0.266103 | + | 0.266103i | ||||
\(250\) | 0.00914412 | + | 0.0207095i | 0.000578325 | + | 0.00130978i | ||||
\(251\) | −23.8105 | −1.50290 | −0.751452 | − | 0.659788i | \(-0.770646\pi\) | ||||
−0.751452 | + | 0.659788i | \(0.770646\pi\) | |||||||
\(252\) | −0.603536 | − | 1.36688i | −0.0380192 | − | 0.0861053i | ||||
\(253\) | 12.3305 | − | 9.31157i | 0.775213 | − | 0.585413i | ||||
\(254\) | −0.0366742 | − | 0.0142077i | −0.00230114 | − | 0.000891468i | ||||
\(255\) | 9.01217 | − | 22.5682i | 0.564364 | − | 1.41328i | ||||
\(256\) | 14.9185 | − | 5.77945i | 0.932405 | − | 0.361216i | ||||
\(257\) | 5.29139 | − | 8.54589i | 0.330068 | − | 0.533078i | −0.642324 | − | 0.766434i | \(-0.722029\pi\) |
0.972391 | + | 0.233356i | \(0.0749706\pi\) | |||||||
\(258\) | 0.0485707 | − | 0.00677532i | 0.00302388 | − | 0.000421813i | ||||
\(259\) | −2.49443 | + | 0.466290i | −0.154996 | + | 0.0289738i | ||||
\(260\) | 4.28494 | − | 5.16016i | 0.265741 | − | 0.320019i | ||||
\(261\) | −12.0148 | − | 1.67599i | −0.743698 | − | 0.103741i | ||||
\(262\) | 0.0707588 | − | 0.00327138i | 0.00437149 | − | 0.000202106i | ||||
\(263\) | 3.29318 | + | 17.6169i | 0.203066 | + | 1.08631i | 0.920813 | + | 0.390004i | \(0.127526\pi\) |
−0.717747 | + | 0.696304i | \(0.754827\pi\) | |||||||
\(264\) | 0.131155 | + | 0.0373168i | 0.00807203 | + | 0.00229669i | ||||
\(265\) | 11.3310 | − | 5.00311i | 0.696056 | − | 0.307339i | ||||
\(266\) | 0.000771169 | − | 0.00327881i | 4.72834e−5 | − | 0.000201037i | ||||
\(267\) | −26.6545 | + | 3.71815i | −1.63123 | + | 0.227547i | ||||
\(268\) | 19.8088 | + | 18.0581i | 1.21001 | + | 1.10307i | ||||
\(269\) | 15.0204 | + | 0.694435i | 0.915810 | + | 0.0423405i | 0.498950 | − | 0.866630i | \(-0.333719\pi\) |
0.416859 | + | 0.908971i | \(0.363131\pi\) | |||||||
\(270\) | 0.0239264 | + | 0.0262461i | 0.00145612 | + | 0.00159728i | ||||
\(271\) | −17.0230 | − | 3.18215i | −1.03407 | − | 0.193302i | −0.360760 | − | 0.932659i | \(-0.617482\pi\) |
−0.673313 | + | 0.739357i | \(0.735130\pi\) | |||||||
\(272\) | 7.19825 | + | 14.8382i | 0.436458 | + | 0.899701i | ||||
\(273\) | 1.30577 | − | 0.244091i | 0.0790288 | − | 0.0147730i | ||||
\(274\) | −0.0475208 | − | 0.0358861i | −0.00287084 | − | 0.00216796i | ||||
\(275\) | −6.94675 | − | 10.1410i | −0.418905 | − | 0.611525i | ||||
\(276\) | 9.14480 | − | 12.1097i | 0.550452 | − | 0.728916i | ||||
\(277\) | −18.0806 | − | 7.98336i | −1.08636 | − | 0.479674i | −0.218170 | − | 0.975911i | \(-0.570009\pi\) |
−0.868187 | + | 0.496237i | \(0.834715\pi\) | |||||||
\(278\) | 0.0224756 | + | 0.0186635i | 0.00134799 | + | 0.00111936i | ||||
\(279\) | 3.47050 | + | 4.17936i | 0.207773 | + | 0.250212i | ||||
\(280\) | 0.0118632 | + | 0.0191597i | 0.000708962 | + | 0.00114501i | ||||
\(281\) | 23.1865 | + | 17.5096i | 1.38319 | + | 1.04454i | 0.992268 | + | 0.124115i | \(0.0396092\pi\) |
0.390924 | + | 0.920423i | \(0.372156\pi\) | |||||||
\(282\) | −0.0166579 | + | 0.0708251i | −0.000991964 | + | 0.00421757i | ||||
\(283\) | 6.05387 | + | 18.0623i | 0.359865 | + | 1.07369i | 0.961473 | + | 0.274900i | \(0.0886447\pi\) |
−0.601608 | + | 0.798792i | \(0.705473\pi\) | |||||||
\(284\) | 2.09184 | − | 14.9959i | 0.124128 | − | 0.889845i | ||||
\(285\) | 0.912325 | + | 9.84556i | 0.0540415 | + | 0.583201i | ||||
\(286\) | −0.00943900 | + | 0.0169463i | −0.000558140 | + | 0.00100205i | ||||
\(287\) | −2.03029 | + | 2.22712i | −0.119844 | + | 0.131463i | ||||
\(288\) | 0.0642845 | 0.00378800 | ||||||||
\(289\) | −14.6355 | + | 8.64884i | −0.860911 | + | 0.508756i | ||||
\(290\) | 0.0914792 | 0.00537185 | ||||||||
\(291\) | −7.11581 | + | 7.80567i | −0.417136 | + | 0.457577i | ||||
\(292\) | −1.71843 | + | 3.08516i | −0.100563 | + | 0.180546i | ||||
\(293\) | −0.405464 | − | 4.37566i | −0.0236875 | − | 0.255629i | −0.999341 | − | 0.0363092i | \(-0.988440\pi\) |
0.975653 | − | 0.219319i | \(-0.0703837\pi\) | |||||||
\(294\) | 0.00739916 | − | 0.0530428i | 0.000431528 | − | 0.00309352i | ||||
\(295\) | −4.60799 | − | 13.7484i | −0.268287 | − | 0.800461i | ||||
\(296\) | 0.0166640 | − | 0.0708509i | 0.000968575 | − | 0.00411813i | ||||
\(297\) | 11.3866 | + | 8.59877i | 0.660718 | + | 0.498951i | ||||
\(298\) | 0.00469177 | + | 0.00757747i | 0.000271787 | + | 0.000438951i | ||||
\(299\) | 2.75810 | + | 3.32145i | 0.159505 | + | 0.192084i | ||||
\(300\) | −9.28740 | − | 7.71216i | −0.536209 | − | 0.445262i | ||||
\(301\) | 2.97866 | + | 1.31521i | 0.171687 | + | 0.0758073i | ||||
\(302\) | −0.0218828 | + | 0.0289775i | −0.00125921 | + | 0.00166747i | ||||
\(303\) | −6.84019 | − | 9.98544i | −0.392958 | − | 0.573649i | ||||
\(304\) | −5.35499 | − | 4.04390i | −0.307130 | − | 0.231934i | ||||
\(305\) | −26.5633 | + | 4.96554i | −1.52101 | + | 0.284326i | ||||
\(306\) | 0.00181071 | + | 0.0220135i | 0.000103511 | + | 0.00125843i | ||||
\(307\) | −33.7820 | − | 6.31494i | −1.92804 | − | 0.360413i | −0.928109 | − | 0.372310i | \(-0.878566\pi\) |
−0.999929 | + | 0.0118968i | \(0.996213\pi\) | |||||||
\(308\) | 3.04972 | + | 3.34538i | 0.173774 | + | 0.190621i | ||||
\(309\) | 4.34564 | + | 0.200911i | 0.247215 | + | 0.0114294i | ||||
\(310\) | −0.0302737 | − | 0.0275981i | −0.00171943 | − | 0.00156747i | ||||
\(311\) | −25.2391 | + | 3.52070i | −1.43118 | + | 0.199641i | −0.811103 | − | 0.584903i | \(-0.801133\pi\) |
−0.620074 | + | 0.784544i | \(0.712897\pi\) | |||||||
\(312\) | −0.00872317 | + | 0.0370887i | −0.000493852 | + | 0.00209973i | ||||
\(313\) | −5.52409 | + | 2.43912i | −0.312240 | + | 0.137867i | −0.554115 | − | 0.832440i | \(-0.686943\pi\) |
0.241875 | + | 0.970307i | \(0.422237\pi\) | |||||||
\(314\) | −0.0220340 | − | 0.00626920i | −0.00124345 | − | 0.000353791i | ||||
\(315\) | −0.385208 | − | 2.06068i | −0.0217040 | − | 0.116106i | ||||
\(316\) | −24.0154 | + | 1.11030i | −1.35097 | + | 0.0624591i | ||||
\(317\) | −31.9522 | − | 4.45714i | −1.79461 | − | 0.250338i | −0.838826 | − | 0.544400i | \(-0.816757\pi\) |
−0.955786 | + | 0.294063i | \(0.904993\pi\) | |||||||
\(318\) | −0.0224747 | + | 0.0270652i | −0.00126032 | + | 0.00151774i | ||||
\(319\) | 36.1270 | − | 6.75331i | 2.02272 | − | 0.378113i | ||||
\(320\) | 22.2319 | − | 3.10121i | 1.24280 | − | 0.173363i | ||||
\(321\) | 6.95469 | − | 11.2322i | 0.388173 | − | 0.626921i | ||||
\(322\) | −0.00676284 | + | 0.00261994i | −0.000376878 | + | 0.000146003i | ||||
\(323\) | 3.70191 | − | 5.84306i | 0.205980 | − | 0.325116i | ||||
\(324\) | 20.9660 | + | 8.12227i | 1.16478 | + | 0.451237i | ||||
\(325\) | 2.74085 | − | 2.06979i | 0.152035 | − | 0.114811i | ||||
\(326\) | −0.00837488 | − | 0.0189673i | −0.000463841 | − | 0.00105050i | ||||
\(327\) | −24.8286 | −1.37302 | ||||||||
\(328\) | −0.0349139 | − | 0.0790724i | −0.00192780 | − | 0.00436604i | ||||
\(329\) | −3.41588 | + | 3.41588i | −0.188324 | + | 0.188324i | ||||
\(330\) | 0.0835686 | + | 0.0465474i | 0.00460030 | + | 0.00256235i | ||||
\(331\) | −4.72575 | + | 0.437905i | −0.259751 | + | 0.0240694i | −0.221355 | − | 0.975193i | \(-0.571048\pi\) |
−0.0383951 | + | 0.999263i | \(0.512225\pi\) | |||||||
\(332\) | 1.03898 | − | 5.55804i | 0.0570213 | − | 0.305037i | ||||
\(333\) | −3.82649 | + | 5.58598i | −0.209690 | + | 0.306110i | ||||
\(334\) | 0.0491793 | − | 0.0217148i | 0.00269097 | − | 0.00118818i | ||||
\(335\) | 21.2532 | + | 31.0258i | 1.16118 | + | 1.69512i | ||||
\(336\) | 3.77984 | + | 2.34038i | 0.206207 | + | 0.127678i | ||||
\(337\) | −3.06770 | + | 9.15277i | −0.167108 | + | 0.498583i | −0.998356 | − | 0.0573192i | \(-0.981745\pi\) |
0.831248 | + | 0.555902i | \(0.187627\pi\) | |||||||
\(338\) | 0.0393029 | + | 0.0195705i | 0.00213780 | + | 0.00106450i | ||||
\(339\) | 26.8690 | − | 16.6366i | 1.45932 | − | 0.903575i | ||||
\(340\) | 5.06468 | + | 22.5777i | 0.274671 | + | 1.22445i | ||||
\(341\) | −13.9931 | − | 8.66415i | −0.757768 | − | 0.469190i | ||||
\(342\) | −0.00473116 | − | 0.00764108i | −0.000255832 | − | 0.000413182i | ||||
\(343\) | 4.63802 | − | 5.58535i | 0.250429 | − | 0.301581i | ||||
\(344\) | −0.0690169 | + | 0.0629172i | −0.00372114 | + | 0.00339227i | ||||
\(345\) | 16.3794 | − | 13.6013i | 0.881836 | − | 0.732267i | ||||
\(346\) | −0.0196038 | + | 0.00461077i | −0.00105391 | + | 0.000247877i | ||||
\(347\) | 4.37317 | + | 31.3503i | 0.234764 | + | 1.68297i | 0.639700 | + | 0.768625i | \(0.279059\pi\) |
−0.404936 | + | 0.914345i | \(0.632706\pi\) | |||||||
\(348\) | 32.3105 | − | 16.0887i | 1.73203 | − | 0.862446i | ||||
\(349\) | 9.54790 | − | 15.4204i | 0.511087 | − | 0.825434i | −0.487783 | − | 0.872965i | \(-0.662194\pi\) |
0.998870 | + | 0.0475310i | \(0.0151353\pi\) | |||||||
\(350\) | 0.00183356 | + | 0.00547059i | 9.80078e−5 | + | 0.000292416i | ||||
\(351\) | −2.25310 | + | 3.28911i | −0.120261 | + | 0.175560i | ||||
\(352\) | −0.184662 | + | 0.0618924i | −0.00984251 | + | 0.00329888i | ||||
\(353\) | −2.94449 | − | 10.3488i | −0.156719 | − | 0.550812i | −0.999913 | − | 0.0132014i | \(-0.995798\pi\) |
0.843193 | − | 0.537610i | \(-0.180673\pi\) | |||||||
\(354\) | 0.0291211 | + | 0.0291211i | 0.00154777 | + | 0.00154777i | ||||
\(355\) | 7.67394 | − | 19.8087i | 0.407291 | − | 1.05134i | ||||
\(356\) | 18.9374 | − | 17.2637i | 1.00368 | − | 0.914975i | ||||
\(357\) | −2.08493 | + | 4.08091i | −0.110346 | + | 0.215985i | ||||
\(358\) | −0.0603632 | − | 0.0550283i | −0.00319029 | − | 0.00290834i | ||||
\(359\) | 0.269975 | − | 0.134432i | 0.0142487 | − | 0.00709503i | −0.438600 | − | 0.898682i | \(-0.644525\pi\) |
0.452849 | + | 0.891587i | \(0.350408\pi\) | |||||||
\(360\) | 0.0585309 | + | 0.0137663i | 0.00308485 | + | 0.000725550i | ||||
\(361\) | 1.49342 | − | 16.1165i | 0.0786008 | − | 0.848238i | ||||
\(362\) | 0.0288783 | + | 0.0197821i | 0.00151781 | + | 0.00103972i | ||||
\(363\) | 14.5320 | + | 4.87065i | 0.762735 | + | 0.255643i | ||||
\(364\) | −0.894386 | + | 0.894386i | −0.0468786 | + | 0.0468786i | ||||
\(365\) | −3.33796 | + | 3.66156i | −0.174717 | + | 0.191655i | ||||
\(366\) | 0.0612500 | − | 0.0462538i | 0.00320159 | − | 0.00241773i | ||||
\(367\) | −23.6197 | − | 7.91652i | −1.23294 | − | 0.413239i | −0.375015 | − | 0.927019i | \(-0.622362\pi\) |
−0.857922 | + | 0.513780i | \(0.828245\pi\) | |||||||
\(368\) | −0.667296 | + | 14.4334i | −0.0347852 | + | 0.752392i | ||||
\(369\) | 0.371362 | + | 8.03244i | 0.0193323 | + | 0.418152i | ||||
\(370\) | 0.0227587 | − | 0.0457057i | 0.00118317 | − | 0.00237613i | ||||
\(371\) | −2.21472 | + | 0.742298i | −0.114982 | + | 0.0385382i | ||||
\(372\) | −15.5465 | − | 4.42335i | −0.806046 | − | 0.229340i | ||||
\(373\) | −8.03610 | + | 10.6415i | −0.416093 | + | 0.550997i | −0.957001 | − | 0.290085i | \(-0.906316\pi\) |
0.540907 | + | 0.841082i | \(0.318081\pi\) | |||||||
\(374\) | −0.0263958 | − | 0.0614921i | −0.00136489 | − | 0.00317968i | ||||
\(375\) | 7.55233 | + | 10.0009i | 0.390001 | + | 0.516444i | ||||
\(376\) | −0.0500522 | − | 0.129200i | −0.00258124 | − | 0.00666296i | ||||
\(377\) | 2.35113 | + | 9.99638i | 0.121089 | + | 0.514840i | ||||
\(378\) | −0.00403609 | − | 0.00534464i | −0.000207594 | − | 0.000274899i | ||||
\(379\) | 5.01333 | − | 14.9577i | 0.257517 | − | 0.768328i | −0.738090 | − | 0.674702i | \(-0.764272\pi\) |
0.995608 | − | 0.0936253i | \(-0.0298456\pi\) | |||||||
\(380\) | −6.01463 | − | 7.24314i | −0.308544 | − | 0.371565i | ||||
\(381\) | −21.5636 | − | 3.00799i | −1.10474 | − | 0.154104i | ||||
\(382\) | 0.0314598 | − | 0.0812070i | 0.00160962 | − | 0.00415491i | ||||
\(383\) | −7.74876 | + | 2.20471i | −0.395943 | + | 0.112655i | −0.465775 | − | 0.884903i | \(-0.654224\pi\) |
0.0698319 | + | 0.997559i | \(0.477754\pi\) | |||||||
\(384\) | −0.210396 | + | 0.144125i | −0.0107367 | + | 0.00735482i | ||||
\(385\) | 3.09054 | + | 5.54858i | 0.157509 | + | 0.282782i | ||||
\(386\) | 0.0421964 | + | 0.00992451i | 0.00214774 | + | 0.000505144i | ||||
\(387\) | 8.10123 | − | 3.13843i | 0.411809 | − | 0.159536i | ||||
\(388\) | 1.38946 | − | 9.96072i | 0.0705392 | − | 0.505679i | ||||
\(389\) | 3.28262 | − | 17.5605i | 0.166436 | − | 0.890352i | −0.793169 | − | 0.609001i | \(-0.791571\pi\) |
0.959605 | − | 0.281351i | \(-0.0907824\pi\) | |||||||
\(390\) | −0.0119136 | + | 0.0239258i | −0.000603269 | + | 0.00121153i | ||||
\(391\) | −14.8842 | + | 0.534124i | −0.752728 | + | 0.0270118i | ||||
\(392\) | 0.0454609 | + | 0.0912978i | 0.00229612 | + | 0.00461123i | ||||
\(393\) | 37.7157 | − | 10.7310i | 1.90250 | − | 0.541309i | ||||
\(394\) | 0.0145398 | − | 0.0120737i | 0.000732506 | − | 0.000608265i | ||||
\(395\) | −33.1556 | − | 6.19786i | −1.66824 | − | 0.311848i | ||||
\(396\) | 12.0656 | + | 0.557827i | 0.606320 | + | 0.0280319i | ||||
\(397\) | 5.10788 | + | 36.6172i | 0.256357 | + | 1.83776i | 0.497731 | + | 0.867331i | \(0.334167\pi\) |
−0.241374 | + | 0.970432i | \(0.577598\pi\) | |||||||
\(398\) | 0.00201613 | + | 0.00361965i | 0.000101060 | + | 0.000181437i | ||||
\(399\) | − | 1.86461i | − | 0.0933475i | ||||||
\(400\) | 11.4455 | + | 1.06058i | 0.572275 | + | 0.0530291i | ||||
\(401\) | 0.774852 | − | 16.7598i | 0.0386943 | − | 0.836944i | −0.887708 | − | 0.460408i | \(-0.847703\pi\) |
0.926402 | − | 0.376536i | \(-0.122885\pi\) | |||||||
\(402\) | −0.0933141 | − | 0.0519756i | −0.00465409 | − | 0.00259231i | ||||
\(403\) | 2.23771 | − | 4.01746i | 0.111468 | − | 0.200124i | ||||
\(404\) | 10.7465 | + | 4.16320i | 0.534656 | + | 0.207127i | ||||
\(405\) | 26.0252 | + | 17.8277i | 1.29320 | + | 0.885865i | ||||
\(406\) | −0.0171774 | − | 0.00159172i | −0.000852501 | − | 7.89959e-5i | ||||
\(407\) | 5.61374 | − | 19.7302i | 0.278263 | − | 0.977991i | ||||
\(408\) | −0.0829206 | − | 0.101983i | −0.00410518 | − | 0.00504890i | ||||
\(409\) | −3.24570 | − | 11.4074i | −0.160489 | − | 0.564062i | −0.999792 | − | 0.0203970i | \(-0.993507\pi\) |
0.839303 | − | 0.543665i | \(-0.182964\pi\) | |||||||
\(410\) | −0.0111419 | − | 0.0596038i | −0.000550258 | − | 0.00294362i | ||||
\(411\) | −30.1562 | − | 13.3153i | −1.48750 | − | 0.656794i | ||||
\(412\) | −3.52178 | + | 2.18059i | −0.173506 | + | 0.107430i | ||||
\(413\) | 0.626041 | + | 2.66176i | 0.0308055 | + | 0.130977i | ||||
\(414\) | −0.00781640 | + | 0.0177025i | −0.000384155 | + | 0.000870028i | ||||
\(415\) | 3.20434 | − | 7.25714i | 0.157295 | − | 0.356239i | ||||
\(416\) | −0.0196579 | − | 0.0507429i | −0.000963808 | − | 0.00248788i | ||||
\(417\) | 14.4770 | + | 7.20870i | 0.708943 | + | 0.353012i | ||||
\(418\) | 0.0209473 | + | 0.0173944i | 0.00102457 | + | 0.000850790i | ||||
\(419\) | −11.0542 | + | 0.511067i | −0.540034 | + | 0.0249673i | −0.314481 | − | 0.949264i | \(-0.601831\pi\) |
−0.225553 | + | 0.974231i | \(0.572419\pi\) | |||||||
\(420\) | 4.41057 | + | 4.41057i | 0.215214 | + | 0.215214i | ||||
\(421\) | 1.19882 | + | 2.40755i | 0.0584268 | + | 0.117337i | 0.922452 | − | 0.386112i | \(-0.126182\pi\) |
−0.864025 | + | 0.503448i | \(0.832064\pi\) | |||||||
\(422\) | 0.00247615 | − | 0.00137920i | 0.000120537 | − | 6.71386e-5i | ||||
\(423\) | 12.8895i | 0.626707i | ||||||||
\(424\) | 0.00618153 | − | 0.0667094i | 0.000300202 | − | 0.00323969i | ||||
\(425\) | −0.122393 | + | 11.8479i | −0.00593696 | + | 0.574708i | ||||
\(426\) | 0.00556707 | + | 0.0600782i | 0.000269725 | + | 0.00291080i | ||||
\(427\) | 5.07430 | − | 0.470203i | 0.245562 | − | 0.0227547i | ||||
\(428\) | 0.580947 | + | 12.5657i | 0.0280811 | + | 0.607386i | ||||
\(429\) | −2.93865 | + | 10.3283i | −0.141879 | + | 0.498654i | ||||
\(430\) | −0.0572348 | + | 0.0318796i | −0.00276011 | + | 0.00153737i | ||||
\(431\) | −5.29837 | + | 3.62947i | −0.255214 | + | 0.174825i | −0.685942 | − | 0.727656i | \(-0.740610\pi\) |
0.430728 | + | 0.902482i | \(0.358257\pi\) | |||||||
\(432\) | −12.9883 | + | 3.05483i | −0.624902 | + | 0.146976i | ||||
\(433\) | 17.8494 | + | 19.5798i | 0.857786 | + | 0.940946i | 0.998796 | − | 0.0490622i | \(-0.0156232\pi\) |
−0.141010 | + | 0.990008i | \(0.545035\pi\) | |||||||
\(434\) | 0.00520441 | + | 0.00570897i | 0.000249820 | + | 0.000274039i | ||||
\(435\) | 49.2961 | − | 11.5943i | 2.36357 | − | 0.555906i | ||||
\(436\) | 19.5038 | − | 13.3604i | 0.934063 | − | 0.639848i | ||||
\(437\) | 5.29420 | − | 2.94885i | 0.253256 | − | 0.141063i | ||||
\(438\) | 0.00385111 | − | 0.0135353i | 0.000184013 | − | 0.000646740i | ||||
\(439\) | 1.18944 | + | 25.7272i | 0.0567688 | + | 1.22789i | 0.816381 | + | 0.577514i | \(0.195977\pi\) |
−0.759612 | + | 0.650376i | \(0.774611\pi\) | |||||||
\(440\) | −0.181388 | + | 0.0168081i | −0.00864735 | + | 0.000801295i | ||||
\(441\) | −0.875428 | − | 9.44737i | −0.0416871 | − | 0.449875i | ||||
\(442\) | 0.0168226 | − | 0.00816091i | 0.000800171 | − | 0.000388175i | ||||
\(443\) | −2.32557 | + | 25.0969i | −0.110491 | + | 1.19239i | 0.742273 | + | 0.670097i | \(0.233748\pi\) |
−0.852765 | + | 0.522295i | \(0.825076\pi\) | |||||||
\(444\) | − | 20.1459i | − | 0.956083i | ||||||
\(445\) | 31.4092 | − | 17.4948i | 1.48894 | − | 0.829333i | ||||
\(446\) | 0.0321839 | + | 0.0646339i | 0.00152395 | + | 0.00306050i | ||||
\(447\) | 3.48868 | + | 3.48868i | 0.165009 | + | 0.165009i | ||||
\(448\) | −4.22853 | + | 0.195497i | −0.199779 | + | 0.00923634i | ||||
\(449\) | 20.5564 | + | 17.0698i | 0.970117 | + | 0.805575i | 0.980929 | − | 0.194366i | \(-0.0622650\pi\) |
−0.0108116 | + | 0.999942i | \(0.503442\pi\) | |||||||
\(450\) | 0.0137807 | + | 0.00686198i | 0.000649629 | + | 0.000323477i | ||||
\(451\) | −8.80031 | − | 22.7162i | −0.414391 | − | 1.06967i | ||||
\(452\) | −12.1544 | + | 27.5271i | −0.571694 | + | 1.29476i | ||||
\(453\) | −8.11946 | + | 18.3888i | −0.381485 | + | 0.863982i | ||||
\(454\) | 0.00179800 | + | 0.00764462i | 8.43842e−5 | + | 0.000358780i | ||||
\(455\) | −1.50880 | + | 0.934211i | −0.0707337 | + | 0.0437965i | ||||
\(456\) | 0.0489238 | + | 0.0216020i | 0.00229107 | + | 0.00101160i | ||||
\(457\) | 3.53790 | + | 18.9261i | 0.165496 | + | 0.885324i | 0.960407 | + | 0.278599i | \(0.0898701\pi\) |
−0.794912 | + | 0.606725i | \(0.792483\pi\) | |||||||
\(458\) | 0.0274582 | + | 0.0965056i | 0.00128304 | + | 0.00450941i | ||||
\(459\) | −4.23586 | − | 13.0852i | −0.197713 | − | 0.610763i | ||||
\(460\) | −5.54771 | + | 19.4982i | −0.258663 | + | 0.909106i | ||||
\(461\) | 10.6687 | + | 0.988597i | 0.496889 | + | 0.0460435i | 0.337795 | − | 0.941220i | \(-0.390319\pi\) |
0.159094 | + | 0.987263i | \(0.449143\pi\) | |||||||
\(462\) | −0.0148821 | − | 0.0101945i | −0.000692378 | − | 0.000474290i | ||||
\(463\) | 21.9338 | + | 8.49719i | 1.01935 | + | 0.394898i | 0.812180 | − | 0.583407i | \(-0.198281\pi\) |
0.207169 | + | 0.978305i | \(0.433575\pi\) | |||||||
\(464\) | −16.7236 | + | 30.0246i | −0.776373 | + | 1.39386i | ||||
\(465\) | −19.8117 | − | 11.0350i | −0.918744 | − | 0.511737i | ||||
\(466\) | −0.00124170 | + | 0.0268575i | −5.75205e−5 | + | 0.00124415i | ||||
\(467\) | −21.9698 | − | 2.03580i | −1.01664 | − | 0.0942057i | −0.428981 | − | 0.903313i | \(-0.641127\pi\) |
−0.587661 | + | 0.809108i | \(0.699951\pi\) | |||||||
\(468\) | 3.37487i | 0.156004i | ||||||||
\(469\) | −3.45095 | − | 6.19564i | −0.159350 | − | 0.286088i | ||||
\(470\) | −0.0134285 | − | 0.0962656i | −0.000619410 | − | 0.00444040i | ||||
\(471\) | −12.6682 | − | 0.585685i | −0.583719 | − | 0.0269869i | ||||
\(472\) | −0.0770922 | − | 0.0144110i | −0.00354846 | − | 0.000663321i | ||||
\(473\) | −20.2497 | + | 16.8152i | −0.931083 | + | 0.773162i | ||||
\(474\) | 0.0921436 | − | 0.0262171i | 0.00423229 | − | 0.00120419i | ||||
\(475\) | −2.14890 | − | 4.31557i | −0.0985983 | − | 0.198012i | ||||
\(476\) | −0.558168 | − | 4.32763i | −0.0255836 | − | 0.198357i | ||||
\(477\) | −2.77801 | + | 5.57899i | −0.127196 | + | 0.255444i | ||||
\(478\) | −0.0133448 | + | 0.0713886i | −0.000610379 | + | 0.00326524i | ||||
\(479\) | −2.90210 | + | 20.8045i | −0.132600 | + | 0.950580i | 0.802614 | + | 0.596498i | \(0.203442\pi\) |
−0.935215 | + | 0.354082i | \(0.884794\pi\) | |||||||
\(480\) | −0.250233 | + | 0.0969408i | −0.0114215 | + | 0.00442472i | ||||
\(481\) | 5.57941 | + | 1.31227i | 0.254399 | + | 0.0598342i | ||||
\(482\) | −0.0230473 | − | 0.0413778i | −0.00104978 | − | 0.00188471i | ||||
\(483\) | −3.31228 | + | 2.26897i | −0.150714 | + | 0.103242i | ||||
\(484\) | −14.0364 | + | 3.99370i | −0.638019 | + | 0.181532i | ||||
\(485\) | 5.09725 | − | 13.1575i | 0.231454 | − | 0.597452i | ||||
\(486\) | −0.0511318 | − | 0.00713258i | −0.00231938 | − | 0.000323540i | ||||
\(487\) | 18.6747 | + | 22.4891i | 0.846233 | + | 1.01908i | 0.999523 | + | 0.0308983i | \(0.00983681\pi\) |
−0.153290 | + | 0.988181i | \(0.548987\pi\) | |||||||
\(488\) | −0.0464496 | + | 0.138587i | −0.00210268 | + | 0.00627353i | ||||
\(489\) | −6.91700 | − | 9.15958i | −0.312797 | − | 0.414211i | ||||
\(490\) | 0.0163806 | + | 0.0696462i | 0.000740001 | + | 0.00314629i | ||||
\(491\) | 10.8703 | + | 28.0595i | 0.490570 | + | 1.26631i | 0.929844 | + | 0.367954i | \(0.119942\pi\) |
−0.439274 | + | 0.898353i | \(0.644764\pi\) | |||||||
\(492\) | −14.4180 | − | 19.0925i | −0.650014 | − | 0.860758i | ||||
\(493\) | −32.2583 | − | 14.6435i | −1.45284 | − | 0.659509i | ||||
\(494\) | −0.00458471 | + | 0.00607114i | −0.000206276 | + | 0.000273154i | ||||
\(495\) | 16.2994 | + | 4.63758i | 0.732604 | + | 0.208444i | ||||
\(496\) | 14.5925 | − | 4.89090i | 0.655221 | − | 0.219608i | ||||
\(497\) | −1.78564 | + | 3.58604i | −0.0800967 | + | 0.160856i | ||||
\(498\) | 0.00104060 | + | 0.0225077i | 4.66302e−5 | + | 0.00100860i | ||||
\(499\) | 1.18787 | − | 25.6933i | 0.0531764 | − | 1.15019i | −0.790194 | − | 0.612856i | \(-0.790020\pi\) |
0.843371 | − | 0.537332i | \(-0.180568\pi\) | |||||||
\(500\) | −11.3142 | − | 3.79214i | −0.505986 | − | 0.169590i | ||||
\(501\) | 23.7494 | − | 17.9347i | 1.06104 | − | 0.801264i | ||||
\(502\) | −0.0608642 | + | 0.0667649i | −0.00271650 | + | 0.00297986i | ||||
\(503\) | 14.9127 | − | 14.9127i | 0.664925 | − | 0.664925i | −0.291612 | − | 0.956537i | \(-0.594192\pi\) |
0.956537 | + | 0.291612i | \(0.0941916\pi\) | |||||||
\(504\) | −0.0107511 | − | 0.00360339i | −0.000478890 | − | 0.000160508i | ||||
\(505\) | 13.3397 | + | 9.13788i | 0.593607 | + | 0.406630i | ||||
\(506\) | 0.00540944 | − | 0.0583771i | 0.000240479 | − | 0.00259518i | ||||
\(507\) | 23.6599 | + | 5.56475i | 1.05077 | + | 0.247139i | ||||
\(508\) | 18.5577 | − | 9.24062i | 0.823363 | − | 0.409986i | ||||
\(509\) | 7.06349 | + | 6.43922i | 0.313084 | + | 0.285413i | 0.814949 | − | 0.579532i | \(-0.196765\pi\) |
−0.501866 | + | 0.864945i | \(0.667353\pi\) | |||||||
\(510\) | −0.0402447 | − | 0.0829590i | −0.00178206 | − | 0.00367349i | ||||
\(511\) | 0.690492 | − | 0.629467i | 0.0305456 | − | 0.0278460i | ||||
\(512\) | 0.109649 | − | 0.283037i | 0.00484586 | − | 0.0125086i | ||||
\(513\) | 3.95708 | + | 3.95708i | 0.174710 | + | 0.174710i | ||||
\(514\) | −0.0104370 | − | 0.0366821i | −0.000460355 | − | 0.00161798i | ||||
\(515\) | −5.51031 | + | 1.84687i | −0.242813 | + | 0.0813829i | ||||
\(516\) | −14.6086 | + | 21.3259i | −0.643108 | + | 0.938822i | ||||
\(517\) | −12.4098 | − | 37.0259i | −0.545784 | − | 1.62840i | ||||
\(518\) | −0.00506877 | + | 0.00818635i | −0.000222709 | + | 0.000359687i | ||||
\(519\) | −9.97965 | + | 4.96928i | −0.438058 | + | 0.218127i | ||||
\(520\) | −0.00703203 | − | 0.0504110i | −0.000308375 | − | 0.00221067i | ||||
\(521\) | 31.6487 | − | 7.44372i | 1.38656 | − | 0.326115i | 0.532559 | − | 0.846393i | \(-0.321230\pi\) |
0.853997 | + | 0.520277i | \(0.174171\pi\) | |||||||
\(522\) | −0.0354117 | + | 0.0294055i | −0.00154993 | + | 0.00128704i | ||||
\(523\) | −8.83066 | + | 8.05021i | −0.386138 | + | 0.352011i | −0.843367 | − | 0.537338i | \(-0.819430\pi\) |
0.457229 | + | 0.889349i | \(0.348842\pi\) | |||||||
\(524\) | −23.8527 | + | 28.7247i | −1.04201 | + | 1.25484i | ||||
\(525\) | 1.68142 | + | 2.71559i | 0.0733832 | + | 0.118518i | ||||
\(526\) | 0.0578162 | + | 0.0357983i | 0.00252091 | + | 0.00156088i | ||||
\(527\) | 6.25766 | + | 14.5780i | 0.272588 | + | 0.635026i | ||||
\(528\) | −30.5548 | + | 18.9188i | −1.32973 | + | 0.823333i | ||||
\(529\) | 8.90817 | + | 4.43574i | 0.387312 | + | 0.192858i | ||||
\(530\) | 0.0149354 | − | 0.0445611i | 0.000648752 | − | 0.00193561i | ||||
\(531\) | 6.20309 | + | 3.84079i | 0.269191 | + | 0.166676i | ||||
\(532\) | 1.00336 | + | 1.46473i | 0.0435012 | + | 0.0635040i | ||||
\(533\) | 6.22684 | − | 2.74942i | 0.269714 | − | 0.119091i | ||||
\(534\) | −0.0577085 | + | 0.0842440i | −0.00249729 | + | 0.00364559i | ||||
\(535\) | −3.24294 | + | 17.3482i | −0.140205 | + | 0.750028i | ||||
\(536\) | 0.202541 | − | 0.0187682i | 0.00874845 | − | 0.000810663i | ||||
\(537\) | −39.5028 | − | 22.0029i | −1.70467 | − | 0.949496i | ||||
\(538\) | 0.0403423 | − | 0.0403423i | 0.00173928 | − | 0.00173928i | ||||
\(539\) | 11.6106 | + | 26.2954i | 0.500102 | + | 1.13262i | ||||
\(540\) | −18.7202 | −0.805589 | ||||||||
\(541\) | −17.9488 | − | 40.6502i | −0.771680 | − | 1.74769i | −0.656475 | − | 0.754348i | \(-0.727953\pi\) |
−0.115206 | − | 0.993342i | \(-0.536753\pi\) | |||||||
\(542\) | −0.0524369 | + | 0.0395985i | −0.00225236 | + | 0.00170090i | ||||
\(543\) | 18.0691 | + | 7.00001i | 0.775420 | + | 0.300399i | ||||
\(544\) | 0.180023 | + | 0.0532370i | 0.00771840 | + | 0.00228252i | ||||
\(545\) | 30.9289 | − | 11.9819i | 1.32485 | − | 0.513250i | ||||
\(546\) | 0.00265337 | − | 0.00428534i | 0.000113554 | − | 0.000183396i | ||||
\(547\) | 28.3133 | − | 3.94954i | 1.21059 | − | 0.168870i | 0.495943 | − | 0.868355i | \(-0.334822\pi\) |
0.714648 | + | 0.699485i | \(0.246587\pi\) | |||||||
\(548\) | 30.8539 | − | 5.76759i | 1.31801 | − | 0.246379i | ||||
\(549\) | 8.68653 | − | 10.4608i | 0.370732 | − | 0.446456i | ||||
\(550\) | −0.0461928 | − | 0.00644362i | −0.00196967 | − | 0.000274757i | ||||
\(551\) | 14.3991 | − | 0.665710i | 0.613422 | − | 0.0283602i | ||||
\(552\) | −0.0211596 | − | 0.113194i | −0.000900614 | − | 0.00481786i | ||||
\(553\) | 6.11792 | + | 1.74070i | 0.260161 | + | 0.0740221i | ||||
\(554\) | −0.0686030 | + | 0.0302912i | −0.00291466 | + | 0.00128695i | ||||
\(555\) | 6.47130 | − | 27.5143i | 0.274691 | − | 1.16792i | ||||
\(556\) | −15.2513 | + | 2.12747i | −0.646799 | + | 0.0902247i | ||||
\(557\) | −21.4301 | − | 19.5361i | −0.908023 | − | 0.827772i | 0.0775564 | − | 0.996988i | \(-0.475288\pi\) |
−0.985579 | + | 0.169216i | \(0.945876\pi\) | |||||||
\(558\) | 0.0205903 | 0.000951945i | 0.000871655 | 4.02990e-5i | ||||||
\(559\) | −4.95464 | − | 5.43498i | −0.209559 | − | 0.229875i | ||||
\(560\) | −5.83798 | − | 1.09131i | −0.246700 | − | 0.0461162i | ||||
\(561\) | −22.0178 | − | 29.7912i | −0.929590 | − | 1.25779i | ||||
\(562\) | 0.108367 | − | 0.0202572i | 0.00457117 | − | 0.000854500i | ||||
\(563\) | −19.3158 | − | 14.5866i | −0.814064 | − | 0.614752i | 0.111320 | − | 0.993785i | \(-0.464492\pi\) |
−0.925383 | + | 0.379032i | \(0.876257\pi\) | |||||||
\(564\) | −21.6735 | − | 31.6394i | −0.912617 | − | 1.33226i | ||||
\(565\) | −25.4421 | + | 33.6908i | −1.07036 | + | 1.41738i | ||||
\(566\) | 0.0661218 | + | 0.0291956i | 0.00277931 | + | 0.00122718i | ||||
\(567\) | −4.57666 | − | 3.80041i | −0.192202 | − | 0.159602i | ||||
\(568\) | −0.0734035 | − | 0.0883965i | −0.00307994 | − | 0.00370904i | ||||
\(569\) | −2.93889 | − | 4.74647i | −0.123205 | − | 0.198982i | 0.782774 | − | 0.622307i | \(-0.213804\pi\) |
−0.905978 | + | 0.423324i | \(0.860863\pi\) | |||||||
\(570\) | 0.0299392 | + | 0.0226090i | 0.00125401 | + | 0.000946987i | ||||
\(571\) | 0.830685 | − | 3.53186i | 0.0347631 | − | 0.147804i | −0.953247 | − | 0.302192i | \(-0.902282\pi\) |
0.988010 | + | 0.154388i | \(0.0493406\pi\) | |||||||
\(572\) | −3.24929 | − | 9.69456i | −0.135860 | − | 0.405350i | ||||
\(573\) | 6.66055 | − | 47.7479i | 0.278248 | − | 1.99470i | ||||
\(574\) | 0.00105506 | + | 0.0113859i | 4.40374e−5 | + | 0.000475239i | ||||
\(575\) | −5.05124 | + | 9.06871i | −0.210651 | + | 0.378191i | ||||
\(576\) | −7.60911 | + | 8.34679i | −0.317046 | + | 0.347783i | ||||
\(577\) | −13.9625 | −0.581266 | −0.290633 | − | 0.956835i | \(-0.593866\pi\) | ||||
−0.290633 | + | 0.956835i | \(0.593866\pi\) | |||||||
\(578\) | −0.0131597 | + | 0.0631463i | −0.000547371 | + | 0.00262654i | ||||
\(579\) | 23.9966 | 0.997263 | ||||||||
\(580\) | −32.4850 | + | 35.6343i | −1.34887 | + | 1.47963i | ||||
\(581\) | −0.727965 | + | 1.30695i | −0.0302011 | + | 0.0542213i | ||||
\(582\) | 0.00369780 | + | 0.0399057i | 0.000153279 | + | 0.00165414i | ||||
\(583\) | 2.60863 | − | 18.7007i | 0.108039 | − | 0.774503i | ||||
\(584\) | 0.00851645 | + | 0.0254096i | 0.000352413 | + | 0.00105146i | ||||
\(585\) | −1.08408 | + | 4.60923i | −0.0448212 | + | 0.190568i | ||||
\(586\) | −0.0133058 | − | 0.0100481i | −0.000549660 | − | 0.000415084i | ||||
\(587\) | 1.06576 | + | 1.72126i | 0.0439886 | + | 0.0710440i | 0.871469 | − | 0.490451i | \(-0.163168\pi\) |
−0.827480 | + | 0.561494i | \(0.810227\pi\) | |||||||
\(588\) | 18.0345 | + | 21.7182i | 0.743731 | + | 0.895641i | ||||
\(589\) | −4.96600 | − | 4.12371i | −0.204620 | − | 0.169915i | ||||
\(590\) | −0.0503295 | − | 0.0222227i | −0.00207203 | − | 0.000914892i | ||||
\(591\) | 6.30492 | − | 8.34907i | 0.259350 | − | 0.343435i | ||||
\(592\) | 10.8406 | + | 15.8253i | 0.445545 | + | 0.650415i | ||||
\(593\) | 8.36030 | + | 6.31341i | 0.343316 | + | 0.259260i | 0.760186 | − | 0.649706i | \(-0.225108\pi\) |
−0.416869 | + | 0.908966i | \(0.636873\pi\) | |||||||
\(594\) | 0.0532175 | − | 0.00994807i | 0.00218354 | − | 0.000408174i | ||||
\(595\) | 0.627809 | − | 6.08975i | 0.0257377 | − | 0.249655i | ||||
\(596\) | −4.61777 | − | 0.863211i | −0.189151 | − | 0.0353585i | ||||
\(597\) | 1.54521 | + | 1.69502i | 0.0632413 | + | 0.0693724i | ||||
\(598\) | 0.0163636 | 0.000756537i | 0.000669159 | 3.09371e-5i | ||||||
\(599\) | −31.4093 | − | 28.6333i | −1.28335 | − | 1.16993i | −0.975865 | − | 0.218373i | \(-0.929925\pi\) |
−0.307483 | − | 0.951554i | \(-0.599487\pi\) | |||||||
\(600\) | −0.0907312 | + | 0.0126565i | −0.00370409 | + | 0.000516698i | ||||
\(601\) | 9.24738 | − | 39.3175i | 0.377209 | − | 1.60379i | −0.363251 | − | 0.931691i | \(-0.618333\pi\) |
0.740459 | − | 0.672101i | \(-0.234608\pi\) | |||||||
\(602\) | 0.0113019 | − | 0.00499028i | 0.000460631 | − | 0.000203389i | ||||
\(603\) | −18.2002 | − | 5.17840i | −0.741169 | − | 0.210881i | ||||
\(604\) | −3.51700 | − | 18.8143i | −0.143105 | − | 0.765542i | ||||
\(605\) | −20.4531 | + | 0.945602i | −0.831536 | + | 0.0384442i | ||||
\(606\) | −0.0454842 | − | 0.00634477i | −0.00184767 | − | 0.000257739i | ||||
\(607\) | 19.2681 | − | 23.2037i | 0.782069 | − | 0.941810i | −0.217343 | − | 0.976095i | \(-0.569739\pi\) |
0.999412 | + | 0.0342855i | \(0.0109155\pi\) | |||||||
\(608\) | −0.0750836 | + | 0.0140356i | −0.00304504 | + | 0.000569217i | ||||
\(609\) | −9.45826 | + | 1.31937i | −0.383268 | + | 0.0534636i | ||||
\(610\) | −0.0539776 | + | 0.0871768i | −0.00218549 | + | 0.00352968i | ||||
\(611\) | 10.1743 | − | 3.94154i | 0.411607 | − | 0.159458i | ||||
\(612\) | −9.21802 | − | 7.11183i | −0.372617 | − | 0.287479i | ||||
\(613\) | 5.58729 | + | 2.16453i | 0.225669 | + | 0.0874245i | 0.471422 | − | 0.881908i | \(-0.343741\pi\) |
−0.245753 | + | 0.969333i | \(0.579035\pi\) | |||||||
\(614\) | −0.104060 | + | 0.0785828i | −0.00419954 | + | 0.00317135i | ||||
\(615\) | −13.5585 | − | 30.7070i | −0.546730 | − | 1.23822i | ||||
\(616\) | 0.0343525 | 0.00138410 | ||||||||
\(617\) | 8.76619 | + | 19.8535i | 0.352914 | + | 0.799273i | 0.999341 | + | 0.0362976i | \(0.0115564\pi\) |
−0.646427 | + | 0.762975i | \(0.723738\pi\) | |||||||
\(618\) | 0.0116717 | − | 0.0116717i | 0.000469503 | − | 0.000469503i | ||||
\(619\) | −4.70257 | − | 2.61931i | −0.189012 | − | 0.105279i | 0.389243 | − | 0.921135i | \(-0.372737\pi\) |
−0.578255 | + | 0.815856i | \(0.696266\pi\) | |||||||
\(620\) | 21.5009 | − | 1.99235i | 0.863495 | − | 0.0800146i | ||||
\(621\) | 2.21412 | − | 11.8445i | 0.0888497 | − | 0.475304i | ||||
\(622\) | −0.0546440 | + | 0.0797703i | −0.00219102 | + | 0.00319850i | ||||
\(623\) | −6.20224 | + | 2.73856i | −0.248487 | + | 0.109718i | ||||
\(624\) | −5.67476 | − | 8.28413i | −0.227172 | − | 0.331631i | ||||
\(625\) | −26.4506 | − | 16.3775i | −1.05802 | − | 0.655100i | ||||
\(626\) | −0.00728132 | + | 0.0217245i | −0.000291020 | + | 0.000868286i | ||||
\(627\) | 13.4927 | + | 6.71855i | 0.538845 | + | 0.268313i | ||||
\(628\) | 10.2665 | − | 6.35675i | 0.409678 | − | 0.253662i | ||||
\(629\) | −15.3417 | + | 12.4741i | −0.611714 | + | 0.497375i | ||||
\(630\) | −0.00676285 | − | 0.00418738i | −0.000269438 | − | 0.000166829i | ||||
\(631\) | 14.3890 | + | 23.2391i | 0.572819 | + | 0.925134i | 0.999782 | + | 0.0208652i | \(0.00664208\pi\) |
−0.426964 | + | 0.904269i | \(0.640417\pi\) | |||||||
\(632\) | −0.116550 | + | 0.140356i | −0.00463611 | + | 0.00558305i | ||||
\(633\) | 1.15953 | − | 1.05706i | 0.0460874 | − | 0.0420142i | ||||
\(634\) | −0.0941739 | + | 0.0782010i | −0.00374012 | + | 0.00310576i | ||||
\(635\) | 28.3134 | − | 6.65925i | 1.12358 | − | 0.264264i | ||||
\(636\) | −2.56191 | − | 18.3657i | −0.101586 | − | 0.728249i | ||||
\(637\) | −7.18957 | + | 3.57998i | −0.284861 | + | 0.141844i | ||||
\(638\) | 0.0734114 | − | 0.118563i | 0.00290638 | − | 0.00469397i | ||||
\(639\) | 3.39682 | + | 10.1347i | 0.134376 | + | 0.400923i | ||||
\(640\) | 0.192537 | − | 0.281070i | 0.00761071 | − | 0.0111103i | ||||
\(641\) | −14.3697 | + | 4.81622i | −0.567567 | + | 0.190229i | −0.587007 | − | 0.809582i | \(-0.699694\pi\) |
0.0194401 | + | 0.999811i | \(0.493812\pi\) | |||||||
\(642\) | −0.0137177 | − | 0.0482128i | −0.000541395 | − | 0.00190281i | ||||
\(643\) | −14.0296 | − | 14.0296i | −0.553274 | − | 0.553274i | 0.374110 | − | 0.927384i | \(-0.377948\pi\) |
−0.927384 | + | 0.374110i | \(0.877948\pi\) | |||||||
\(644\) | 1.38098 | − | 3.56472i | 0.0544182 | − | 0.140470i | ||||
\(645\) | −26.8020 | + | 24.4333i | −1.05533 | + | 0.962059i | ||||
\(646\) | −0.00692121 | − | 0.0253162i | −0.000272311 | − | 0.000996052i | ||||
\(647\) | 5.45088 | + | 4.96914i | 0.214296 | + | 0.195357i | 0.773725 | − | 0.633522i | \(-0.218391\pi\) |
−0.559429 | + | 0.828878i | \(0.688979\pi\) | |||||||
\(648\) | 0.152737 | − | 0.0760539i | 0.00600007 | − | 0.00298768i | ||||
\(649\) | −21.5167 | − | 5.06068i | −0.844605 | − | 0.198649i | ||||
\(650\) | 0.00120242 | − | 0.0129762i | 4.71627e−5 | − | 0.000508967i | ||||
\(651\) | 3.52811 | + | 2.41681i | 0.138278 | + | 0.0947223i | ||||
\(652\) | 10.3624 | + | 3.47313i | 0.405823 | + | 0.136018i | ||||
\(653\) | 22.3549 | − | 22.3549i | 0.874815 | − | 0.874815i | −0.118177 | − | 0.992993i | \(-0.537705\pi\) |
0.992993 | + | 0.118177i | \(0.0377051\pi\) | |||||||
\(654\) | −0.0634667 | + | 0.0696197i | −0.00248174 | + | 0.00272234i | ||||
\(655\) | −41.8037 | + | 31.5687i | −1.63341 | + | 1.23349i | ||||
\(656\) | 21.5996 | + | 7.23945i | 0.843322 | + | 0.282653i | ||||
\(657\) | 0.115136 | − | 2.49036i | 0.00449190 | − | 0.0971583i | ||||
\(658\) | 0.000846515 | 0.0183098i | 3.30006e−5 | 0.000713792i | ||||||
\(659\) | −12.3588 | + | 24.8197i | −0.481429 | + | 0.966839i | 0.512693 | + | 0.858572i | \(0.328648\pi\) |
−0.994122 | + | 0.108267i | \(0.965470\pi\) | |||||||
\(660\) | −47.8077 | + | 16.0235i | −1.86091 | + | 0.623715i | ||||
\(661\) | 19.6244 | + | 5.58361i | 0.763299 | + | 0.217177i | 0.632846 | − | 0.774277i | \(-0.281886\pi\) |
0.130452 | + | 0.991455i | \(0.458357\pi\) | |||||||
\(662\) | −0.0108520 | + | 0.0143704i | −0.000421777 | + | 0.000558523i | ||||
\(663\) | 8.03100 | − | 6.52988i | 0.311898 | − | 0.253599i | ||||
\(664\) | −0.0258581 | − | 0.0342416i | −0.00100349 | − | 0.00132883i | ||||
\(665\) | 0.899838 | + | 2.32275i | 0.0348942 | + | 0.0900724i | ||||
\(666\) | 0.00588192 | + | 0.0250084i | 0.000227920 | + | 0.000969055i | ||||
\(667\) | −18.7042 | − | 24.7683i | −0.724228 | − | 0.959032i | ||||
\(668\) | −9.00528 | + | 26.8681i | −0.348425 | + | 1.03956i | ||||
\(669\) | 25.5350 | + | 30.7507i | 0.987241 | + | 1.18889i | ||||
\(670\) | 0.141324 | + | 0.0197139i | 0.00545983 | + | 0.000761613i | ||||
\(671\) | −14.8812 | + | 38.4127i | −0.574481 | + | 1.48291i | ||||
\(672\) | 0.0486740 | − | 0.0138490i | 0.00187764 | − | 0.000534235i | ||||
\(673\) | −40.5907 | + | 27.8053i | −1.56466 | + | 1.07182i | −0.602935 | + | 0.797790i | \(0.706002\pi\) |
−0.961723 | + | 0.274025i | \(0.911645\pi\) | |||||||
\(674\) | 0.0178228 | + | 0.0319981i | 0.000686510 | + | 0.00123252i | ||||
\(675\) | −9.33133 | − | 2.19471i | −0.359163 | − | 0.0844744i | ||||
\(676\) | −21.5802 | + | 8.36020i | −0.830006 | + | 0.321546i | ||||
\(677\) | 6.87621 | − | 49.2939i | 0.264274 | − | 1.89452i | −0.157020 | − | 0.987595i | \(-0.550189\pi\) |
0.421294 | − | 0.906924i | \(-0.361576\pi\) | |||||||
\(678\) | 0.0220333 | − | 0.117867i | 0.000846182 | − | 0.00452667i | ||||
\(679\) | −1.18607 | + | 2.38195i | −0.0455172 | + | 0.0914108i | ||||
\(680\) | 0.152510 | + | 0.0870235i | 0.00584848 | + | 0.00333720i | ||||
\(681\) | 1.93780 | + | 3.89163i | 0.0742566 | + | 0.149127i | ||||
\(682\) | −0.0600635 | + | 0.0170895i | −0.00229995 | + | 0.000654392i | ||||
\(683\) | −20.5913 | + | 17.0988i | −0.787904 | + | 0.654267i | −0.942686 | − | 0.333682i | \(-0.891709\pi\) |
0.154782 | + | 0.987949i | \(0.450533\pi\) | |||||||
\(684\) | 4.65653 | + | 0.870457i | 0.178047 | + | 0.0332828i | ||||
\(685\) | 43.9913 | + | 2.03384i | 1.68082 | + | 0.0777091i | ||||
\(686\) | −0.00380572 | − | 0.0272823i | −0.000145303 | − | 0.00104164i | ||||
\(687\) | 27.0280 | + | 48.5246i | 1.03118 | + | 1.85133i | ||||
\(688\) | − | 24.6132i | − | 0.938368i | ||||||
\(689\) | 5.25327 | + | 0.486787i | 0.200134 | + | 0.0185451i | ||||
\(690\) | 0.00373078 | − | 0.0806955i | 0.000142028 | − | 0.00307203i | ||||
\(691\) | 14.3687 | + | 8.00330i | 0.546610 | + | 0.304460i | 0.735485 | − | 0.677541i | \(-0.236955\pi\) |
−0.188875 | + | 0.982001i | \(0.560484\pi\) | |||||||
\(692\) | 5.16540 | − | 9.27368i | 0.196359 | − | 0.352532i | ||||
\(693\) | −2.97991 | − | 1.15442i | −0.113198 | − | 0.0438530i | ||||
\(694\) | 0.0990852 | + | 0.0678750i | 0.00376122 | + | 0.00257650i | ||||
\(695\) | −21.5128 | − | 1.99346i | −0.816028 | − | 0.0756162i | ||||
\(696\) | 0.0749583 | − | 0.263451i | 0.00284129 | − | 0.00998609i | ||||
\(697\) | −5.61208 | + | 22.8016i | −0.212573 | + | 0.863673i | ||||
\(698\) | −0.0188327 | − | 0.0661900i | −0.000712827 | − | 0.00250533i | ||||
\(699\) | 2.73487 | + | 14.6303i | 0.103442 | + | 0.553368i | ||||
\(700\) | −2.78210 | − | 1.22842i | −0.105153 | − | 0.0464297i | ||||
\(701\) | 7.41306 | − | 4.58997i | 0.279987 | − | 0.173361i | −0.379253 | − | 0.925293i | \(-0.623819\pi\) |
0.659241 | + | 0.751932i | \(0.270878\pi\) | |||||||
\(702\) | 0.00346337 | + | 0.0147253i | 0.000130716 | + | 0.000555772i | ||||
\(703\) | 3.24968 | − | 7.35982i | 0.122564 | − | 0.277581i | ||||
\(704\) | 13.8215 | − | 31.3027i | 0.520918 | − | 1.17977i | ||||
\(705\) | −19.4373 | − | 50.1734i | −0.732050 | − | 1.88964i | ||||
\(706\) | −0.0365449 | − | 0.0181972i | −0.00137539 | − | 0.000684861i | ||||
\(707\) | −2.34584 | − | 1.94796i | −0.0882245 | − | 0.0732607i | ||||
\(708\) | −21.6848 | + | 1.00255i | −0.814964 | + | 0.0376781i | ||||
\(709\) | −24.1759 | − | 24.1759i | −0.907945 | − | 0.907945i | 0.0881614 | − | 0.996106i | \(-0.471901\pi\) |
−0.996106 | + | 0.0881614i | \(0.971901\pi\) | |||||||
\(710\) | −0.0359278 | − | 0.0721528i | −0.00134835 | − | 0.00270785i | ||||
\(711\) | 14.8268 | − | 8.25850i | 0.556050 | − | 0.309718i | ||||
\(712\) | − | 0.194461i | − | 0.00728774i | ||||||
\(713\) | −1.28242 | + | 13.8395i | −0.0480270 | + | 0.518294i | ||||
\(714\) | 0.00611343 | + | 0.0162778i | 0.000228789 | + | 0.000609181i | ||||
\(715\) | −1.32361 | − | 14.2841i | −0.0495004 | − | 0.534194i | ||||
\(716\) | 42.8709 | − | 3.97257i | 1.60216 | − | 0.148462i | ||||
\(717\) | 1.85676 | + | 40.1611i | 0.0693419 | + | 1.49984i | ||||
\(718\) | 0.000313161 | − | 0.00110065i | 1.16871e−5 | − | 4.10758e-5i | ||||
\(719\) | −27.1750 | + | 15.1364i | −1.01346 | + | 0.564491i | −0.903113 | − | 0.429403i | \(-0.858724\pi\) |
−0.110342 | + | 0.993894i | \(0.535195\pi\) | |||||||
\(720\) | −13.0735 | + | 8.95554i | −0.487220 | + | 0.333753i | ||||
\(721\) | 1.06683 | − | 0.250916i | 0.0397308 | − | 0.00934460i | ||||
\(722\) | −0.0413735 | − | 0.0453845i | −0.00153976 | − | 0.00168904i | ||||
\(723\) | −17.6640 | − | 19.3765i | −0.656931 | − | 0.720619i | ||||
\(724\) | −17.9607 | + | 4.22433i | −0.667505 | + | 0.156996i | ||||
\(725\) | −20.3702 | + | 13.9539i | −0.756531 | + | 0.518236i | ||||
\(726\) | 0.0508041 | − | 0.0282977i | 0.00188552 | − | 0.00105023i | ||||
\(727\) | 3.27353 | − | 11.5052i | 0.121408 | − | 0.426706i | −0.877160 | − | 0.480198i | \(-0.840565\pi\) |
0.998568 | + | 0.0534923i | \(0.0170353\pi\) | |||||||
\(728\) | 0.000443291 | 0.00958823i | 1.64294e−5 | 0.000355364i | ||||||
\(729\) | 5.12508 | − | 0.474909i | 0.189818 | − | 0.0175892i | ||||
\(730\) | 0.00173460 | + | 0.0187194i | 6.42006e−5 | + | 0.000692834i | ||||
\(731\) | 25.2858 | − | 2.07987i | 0.935229 | − | 0.0769269i | ||||
\(732\) | −3.73287 | + | 40.2841i | −0.137971 | + | 1.48894i | ||||
\(733\) | − | 34.7308i | − | 1.28281i | −0.767201 | − | 0.641406i | \(-0.778351\pi\) | ||
0.767201 | − | 0.641406i | \(-0.221649\pi\) | |||||||
\(734\) | −0.0825745 | + | 0.0459937i | −0.00304788 | + | 0.00169766i | ||||
\(735\) | 17.6543 | + | 35.4546i | 0.651188 | + | 1.30776i | ||||
\(736\) | 0.116298 | + | 0.116298i | 0.00428682 | + | 0.00428682i | ||||
\(737\) | 57.2671 | − | 2.64762i | 2.10946 | − | 0.0975262i | ||||
\(738\) | 0.0234724 | + | 0.0194912i | 0.000864029 | + | 0.000717481i | ||||
\(739\) | 2.49684 | + | 1.24328i | 0.0918476 | + | 0.0457347i | 0.491075 | − | 0.871117i | \(-0.336604\pi\) |
−0.399228 | + | 0.916852i | \(0.630722\pi\) | |||||||
\(740\) | 9.72215 | + | 25.0958i | 0.357393 | + | 0.922538i | ||||
\(741\) | −1.70112 | + | 3.85268i | −0.0624923 | + | 0.141532i | ||||
\(742\) | −0.00357983 | + | 0.00810755i | −0.000131420 | + | 0.000297638i | ||||
\(743\) | −1.83959 | − | 7.82147i | −0.0674881 | − | 0.286942i | 0.929063 | − | 0.369921i | \(-0.120615\pi\) |
−0.996551 | + | 0.0829792i | \(0.973556\pi\) | |||||||
\(744\) | −0.104286 | + | 0.0645713i | −0.00382332 | + | 0.00236730i | ||||
\(745\) | −6.02943 | − | 2.66226i | −0.220901 | − | 0.0975375i | ||||
\(746\) | 0.00929711 | + | 0.0497351i | 0.000340391 | + | 0.00182093i | ||||
\(747\) | 1.09236 | + | 3.83926i | 0.0399675 | + | 0.140471i | ||||
\(748\) | 33.3266 | + | 11.5542i | 1.21854 | + | 0.422465i | ||||
\(749\) | 0.910796 | − | 3.20111i | 0.0332797 | − | 0.116966i | ||||
\(750\) | 0.0473479 | + | 0.00438743i | 0.00172890 | + | 0.000160206i | ||||
\(751\) | 29.4775 | + | 20.1926i | 1.07565 | + | 0.736838i | 0.966365 | − | 0.257173i | \(-0.0827910\pi\) |
0.109285 | + | 0.994010i | \(0.465144\pi\) | |||||||
\(752\) | 34.0504 | + | 13.1912i | 1.24169 | + | 0.481034i | ||||
\(753\) | −24.3364 | + | 43.6922i | −0.886867 | + | 1.59223i | ||||
\(754\) | 0.0340399 | + | 0.0189601i | 0.00123966 | + | 0.000690487i | ||||
\(755\) | 1.24021 | − | 26.8253i | 0.0451358 | − | 0.976272i | ||||
\(756\) | 3.51517 | + | 0.325728i | 0.127845 | + | 0.0118466i | ||||
\(757\) | 11.5753i | 0.420712i | 0.977625 | + | 0.210356i | \(0.0674623\pi\) | ||||
−0.977625 | + | 0.210356i | \(0.932538\pi\) | |||||||
\(758\) | −0.0291267 | − | 0.0522924i | −0.00105793 | − | 0.00189934i | ||||
\(759\) | −4.48386 | − | 32.1437i | −0.162754 | − | 1.16674i | ||||
\(760\) | −0.0713691 | − | 0.00329959i | −0.00258883 | − | 0.000119689i | ||||
\(761\) | −28.5191 | − | 5.33114i | −1.03382 | − | 0.193254i | −0.360616 | − | 0.932714i | \(-0.617433\pi\) |
−0.673199 | + | 0.739461i | \(0.735080\pi\) | |||||||
\(762\) | −0.0635553 | + | 0.0527756i | −0.00230236 | + | 0.00191186i | ||||
\(763\) | −6.01614 | + | 1.71174i | −0.217799 | + | 0.0619691i | ||||
\(764\) | 20.4613 | + | 41.0919i | 0.740265 | + | 1.48665i | ||||
\(765\) | −10.3050 | − | 12.6740i | −0.372579 | − | 0.458229i | ||||
\(766\) | −0.0136253 | + | 0.0273633i | −0.000492302 | + | 0.000988676i | ||||
\(767\) | 1.13485 | − | 6.07090i | 0.0409770 | − | 0.219208i | ||||
\(768\) | 4.64271 | − | 33.2825i | 0.167529 | − | 1.20098i | ||||
\(769\) | 34.1681 | − | 13.2368i | 1.23213 | − | 0.477331i | 0.344895 | − | 0.938641i | \(-0.387914\pi\) |
0.887239 | + | 0.461310i | \(0.152620\pi\) | |||||||
\(770\) | 0.0234583 | + | 0.00551735i | 0.000845380 | + | 0.000198832i | ||||
\(771\) | −10.2734 | − | 18.4443i | −0.369989 | − | 0.664257i | ||||
\(772\) | −18.8502 | + | 12.9127i | −0.678434 | + | 0.464738i | ||||
\(773\) | 5.33777 | − | 1.51873i | 0.191986 | − | 0.0546248i | −0.176304 | − | 0.984336i | \(-0.556414\pi\) |
0.368290 | + | 0.929711i | \(0.379943\pi\) | |||||||
\(774\) | 0.0119081 | − | 0.0307384i | 0.000428029 | − | 0.00110487i | ||||
\(775\) | 10.9510 | + | 1.52759i | 0.393370 | + | 0.0548727i | ||||
\(776\) | −0.0487567 | − | 0.0587155i | −0.00175026 | − | 0.00210776i | ||||
\(777\) | −1.69388 | + | 5.05386i | −0.0607678 | + | 0.181306i | ||||
\(778\) | −0.0408488 | − | 0.0540926i | −0.00146450 | − | 0.00193931i | ||||
\(779\) | −2.18751 | − | 9.30072i | −0.0783757 | − | 0.333233i | ||||
\(780\) | −5.08930 | − | 13.1370i | −0.182226 | − | 0.470380i | ||||
\(781\) | −19.5152 | − | 25.8423i | −0.698309 | − | 0.924710i | ||||
\(782\) | −0.0365493 | + | 0.0431009i | −0.00130700 | + | 0.00154128i | ||||
\(783\) | 17.2723 | − | 22.8723i | 0.617263 | − | 0.817389i | ||||
\(784\) | −25.8533 | − | 7.35590i | −0.923332 | − | 0.262711i | ||||
\(785\) | 16.0634 | − | 5.38390i | 0.573326 | − | 0.192160i | ||||
\(786\) | 0.0663187 | − | 0.133186i | 0.00236551 | − | 0.00475059i | ||||
\(787\) | −1.58006 | − | 34.1761i | −0.0563229 | − | 1.21825i | −0.819891 | − | 0.572519i | \(-0.805966\pi\) |
0.763569 | − | 0.645727i | \(-0.223446\pi\) | |||||||
\(788\) | −0.460073 | + | 9.95124i | −0.0163894 | + | 0.354498i | ||||
\(789\) | 35.6930 | + | 11.9631i | 1.27070 | + | 0.425897i | ||||
\(790\) | −0.102131 | + | 0.0771259i | −0.00363366 | + | 0.00274402i | ||||
\(791\) | 5.36358 | − | 5.88357i | 0.190707 | − | 0.209196i | ||||
\(792\) | 0.0648127 | − | 0.0648127i | 0.00230302 | − | 0.00230302i | ||||
\(793\) | −10.9135 | − | 3.65784i | −0.387550 | − | 0.129894i | ||||
\(794\) | 0.115732 | + | 0.0792781i | 0.00410717 | + | 0.00281348i | ||||
\(795\) | 2.40054 | − | 25.9059i | 0.0851383 | − | 0.918789i | ||||
\(796\) | −2.12592 | − | 0.500013i | −0.0753514 | − | 0.0177225i | ||||
\(797\) | −23.8427 | + | 11.8722i | −0.844551 | + | 0.420537i | −0.815302 | − | 0.579036i | \(-0.803429\pi\) |
−0.0292490 | + | 0.999572i | \(0.509312\pi\) | |||||||
\(798\) | −0.00522841 | − | 0.00476632i | −0.000185084 | − | 0.000168726i | ||||
\(799\) | −10.6744 | + | 36.0957i | −0.377632 | + | 1.27697i | ||||
\(800\) | 0.0966936 | − | 0.0881479i | 0.00341864 | − | 0.00311650i | ||||
\(801\) | −6.53492 | + | 16.8686i | −0.230900 | + | 0.596022i | ||||
\(802\) | −0.0450140 | − | 0.0450140i | −0.00158950 | − | 0.00158950i | ||||
\(803\) | 2.06696 | + | 7.26460i | 0.0729413 | + | 0.256362i | ||||
\(804\) | 53.3829 | − | 17.8921i | 1.88267 | − | 0.631007i | ||||
\(805\) | 3.03113 | − | 4.42491i | 0.106833 | − | 0.155958i | ||||
\(806\) | −0.00554499 | − | 0.0165440i | −0.000195314 | − | 0.000582737i | ||||
\(807\) | 16.6265 | − | 26.8526i | 0.585279 | − | 0.945258i | ||||
\(808\) | 0.0782878 | − | 0.0389827i | 0.00275415 | − | 0.00137141i | ||||
\(809\) | 2.95241 | + | 21.1651i | 0.103801 | + | 0.744126i | 0.969769 | + | 0.244026i | \(0.0784682\pi\) |
−0.865967 | + | 0.500100i | \(0.833296\pi\) | |||||||
\(810\) | 0.116515 | − | 0.0274040i | 0.00409391 | − | 0.000962879i | ||||
\(811\) | 18.3775 | − | 15.2605i | 0.645322 | − | 0.535869i | −0.257284 | − | 0.966336i | \(-0.582828\pi\) |
0.902606 | + | 0.430467i | \(0.141651\pi\) | |||||||
\(812\) | 6.71987 | − | 6.12597i | 0.235821 | − | 0.214979i | ||||
\(813\) | −23.2382 | + | 27.9847i | −0.815000 | + | 0.981467i | ||||
\(814\) | −0.0409740 | − | 0.0661754i | −0.00143614 | − | 0.00231945i | ||||
\(815\) | 13.0368 | + | 8.07204i | 0.456659 | + | 0.282751i | ||||
\(816\) | 34.5854 | + | 1.95719i | 1.21073 | + | 0.0685155i | ||||
\(817\) | −8.77692 | + | 5.43444i | −0.307066 | + | 0.190127i | ||||
\(818\) | −0.0402833 | − | 0.0200587i | −0.00140847 | − | 0.000701335i | ||||
\(819\) | 0.283762 | − | 0.846630i | 0.00991544 | − | 0.0295837i | ||||
\(820\) | 27.1743 | + | 16.8256i | 0.948968 | + | 0.587576i | ||||
\(821\) | −17.0443 | − | 24.8816i | −0.594850 | − | 0.868373i | 0.404076 | − | 0.914726i | \(-0.367593\pi\) |
−0.998925 | + | 0.0463522i | \(0.985240\pi\) | |||||||
\(822\) | −0.114421 | + | 0.0505220i | −0.00399090 | + | 0.00176216i | ||||
\(823\) | 15.5229 | − | 22.6606i | 0.541094 | − | 0.789899i | −0.453770 | − | 0.891119i | \(-0.649921\pi\) |
0.994864 | + | 0.101219i | \(0.0322744\pi\) | |||||||
\(824\) | −0.00577591 | + | 0.0308984i | −0.000201213 | + | 0.00107640i | ||||
\(825\) | −25.7089 | + | 2.38228i | −0.895069 | + | 0.0829404i | ||||
\(826\) | 0.00906391 | + | 0.00504856i | 0.000315374 | + | 0.000175662i | ||||
\(827\) | 21.9939 | − | 21.9939i | 0.764803 | − | 0.764803i | −0.212383 | − | 0.977186i | \(-0.568123\pi\) |
0.977186 | + | 0.212383i | \(0.0681226\pi\) | |||||||
\(828\) | −4.12006 | − | 9.33104i | −0.143182 | − | 0.324276i | ||||
\(829\) | 9.18344 | 0.318954 | 0.159477 | − | 0.987202i | \(-0.449019\pi\) | ||||
0.159477 | + | 0.987202i | \(0.449019\pi\) | |||||||
\(830\) | −0.0121582 | − | 0.0275357i | −0.000422017 | − | 0.000955778i | ||||
\(831\) | −33.1294 | + | 25.0182i | −1.14925 | + | 0.867870i | ||||
\(832\) | 8.91536 | + | 3.45383i | 0.309085 | + | 0.119740i | ||||
\(833\) | 5.37226 | − | 27.1814i | 0.186138 | − | 0.941781i | ||||
\(834\) | 0.0572194 | − | 0.0221669i | 0.00198135 | − | 0.000767577i | ||||
\(835\) | −20.9296 | + | 33.8024i | −0.724297 | + | 1.16978i | ||||
\(836\) | −14.2143 | + | 1.98281i | −0.491612 | + | 0.0685769i | ||||
\(837\) | −12.6163 | + | 2.35840i | −0.436083 | + | 0.0815181i | ||||
\(838\) | −0.0268237 | + | 0.0323026i | −0.000926609 | + | 0.00111587i | ||||
\(839\) | 23.1403 | + | 3.22793i | 0.798891 | + | 0.111441i | 0.525867 | − | 0.850567i | \(-0.323741\pi\) |
0.273024 | + | 0.962007i | \(0.411976\pi\) | |||||||
\(840\) | 0.0472833 | − | 0.00218604i | 0.00163143 | − | 7.54255e-5i | ||||
\(841\) | −8.23664 | − | 44.0621i | −0.284022 | − | 1.51938i | ||||
\(842\) | 0.00981521 | + | 0.00279267i | 0.000338255 | + | 9.62417e-5i | ||||
\(843\) | 55.8288 | − | 24.6508i | 1.92285 | − | 0.849020i | ||||
\(844\) | −0.342051 | + | 1.45431i | −0.0117739 | + | 0.0500594i | ||||
\(845\) | −32.1585 | + | 4.48592i | −1.10629 | + | 0.154320i | ||||
\(846\) | 0.0361422 | + | 0.0329480i | 0.00124260 | + | 0.00113278i | ||||
\(847\) | 3.85701 | + | 0.178320i | 0.132528 | + | 0.00612716i | ||||
\(848\) | 11.8951 | + | 13.0483i | 0.408480 | + | 0.448081i | ||||
\(849\) | 39.3319 | + | 7.35240i | 1.34987 | + | 0.252334i | ||||
\(850\) | 0.0329089 | + | 0.0306288i | 0.00112876 | + | 0.00105056i | ||||
\(851\) | −17.0283 | + | 3.18314i | −0.583722 | + | 0.109117i | ||||
\(852\) | −25.3795 | − | 19.1657i | −0.869486 | − | 0.656605i | ||||
\(853\) | 20.3030 | + | 29.6387i | 0.695162 | + | 1.01481i | 0.998089 | + | 0.0617973i | \(0.0196832\pi\) |
−0.302927 | + | 0.953014i | \(0.597964\pi\) | |||||||
\(854\) | 0.0116524 | − | 0.0154303i | 0.000398739 | − | 0.000528015i | ||||
\(855\) | 6.08005 | + | 2.68460i | 0.207933 | + | 0.0918115i | ||||
\(856\) | 0.0734391 | + | 0.0609830i | 0.00251010 | + | 0.00208436i | ||||
\(857\) | −32.7389 | − | 39.4260i | −1.11834 | − | 1.34677i | −0.931232 | − | 0.364427i | \(-0.881265\pi\) |
−0.187109 | − | 0.982339i | \(-0.559912\pi\) | |||||||
\(858\) | 0.0214489 | + | 0.0346411i | 0.000732252 | + | 0.00118263i | ||||
\(859\) | −12.0924 | − | 9.13176i | −0.412587 | − | 0.311571i | 0.375857 | − | 0.926678i | \(-0.377348\pi\) |
−0.788444 | + | 0.615106i | \(0.789113\pi\) | |||||||
\(860\) | 7.90632 | − | 33.6156i | 0.269603 | − | 1.14628i | ||||
\(861\) | 2.01163 | + | 6.00189i | 0.0685562 | + | 0.204544i | ||||
\(862\) | −0.00336660 | + | 0.0241344i | −0.000114667 | + | 0.000822019i | ||||
\(863\) | 4.02267 | + | 43.4116i | 0.136933 | + | 1.47775i | 0.735964 | + | 0.677021i | \(0.236729\pi\) |
−0.599031 | + | 0.800726i | \(0.704447\pi\) | |||||||
\(864\) | −0.0739057 | + | 0.132686i | −0.00251432 | + | 0.00451408i | ||||
\(865\) | 10.0335 | − | 11.0063i | 0.341151 | − | 0.374224i | ||||
\(866\) | 0.100529 | 0.00341610 | ||||||||
\(867\) | 0.911868 | + | 35.6960i | 0.0309687 | + | 1.21230i | ||||
\(868\) | −4.07197 | −0.138212 | ||||||||
\(869\) | −34.6400 | + | 37.9982i | −1.17508 | + | 1.28900i | ||||
\(870\) | 0.0934998 | − | 0.167864i | 0.00316994 | − | 0.00569113i | ||||
\(871\) | 1.47797 | + | 15.9498i | 0.0500791 | + | 0.540440i | ||||
\(872\) | 0.0247856 | − | 0.177682i | 0.000839347 | − | 0.00601708i | ||||
\(873\) | 2.25626 | + | 6.73177i | 0.0763629 | + | 0.227836i | ||||
\(874\) | 0.00526440 | − | 0.0223829i | 0.000178071 | − | 0.000757112i | ||||
\(875\) | 2.51947 | + | 1.90261i | 0.0851735 | + | 0.0643201i | ||||
\(876\) | 3.90489 | + | 6.30662i | 0.131934 | + | 0.213081i | ||||
\(877\) | 33.7528 | + | 40.6470i | 1.13975 | + | 1.37255i | 0.917584 | + | 0.397543i | \(0.130137\pi\) |
0.222168 | + | 0.975008i | \(0.428687\pi\) | |||||||
\(878\) | 0.0751797 | + | 0.0624285i | 0.00253719 | + | 0.00210686i | ||||
\(879\) | −8.44374 | − | 3.72828i | −0.284800 | − | 0.125752i | ||||
\(880\) | 28.9322 | − | 38.3124i | 0.975305 | − | 1.29151i | ||||
\(881\) | 17.8461 | + | 26.0520i | 0.601249 | + | 0.877716i | 0.999212 | − | 0.0396859i | \(-0.0126357\pi\) |
−0.397963 | + | 0.917401i | \(0.630283\pi\) | |||||||
\(882\) | −0.0287283 | − | 0.0216946i | −0.000967333 | − | 0.000730496i | ||||
\(883\) | −33.8212 | + | 6.32227i | −1.13817 | + | 0.212761i | −0.718910 | − | 0.695104i | \(-0.755359\pi\) |
−0.419263 | + | 0.907865i | \(0.637711\pi\) | |||||||
\(884\) | −2.79489 | + | 9.45100i | −0.0940023 | + | 0.317872i | ||||
\(885\) | −29.9380 | − | 5.59638i | −1.00635 | − | 0.188120i | ||||
\(886\) | 0.0644276 | + | 0.0706737i | 0.00216449 | + | 0.00237433i | ||||
\(887\) | 21.7628 | + | 1.00615i | 0.730723 | + | 0.0337833i | 0.408345 | − | 0.912828i | \(-0.366106\pi\) |
0.322378 | + | 0.946611i | \(0.395518\pi\) | |||||||
\(888\) | −0.112979 | − | 0.102994i | −0.00379134 | − | 0.00345626i | ||||
\(889\) | −5.43239 | + | 0.757786i | −0.182196 | + | 0.0254153i | ||||
\(890\) | 0.0312324 | − | 0.132792i | 0.00104691 | − | 0.00445120i | ||||
\(891\) | 43.9910 | − | 19.4239i | 1.47375 | − | 0.650726i | ||||
\(892\) | −36.6059 | − | 10.4153i | −1.22566 | − | 0.348729i | ||||
\(893\) | −2.81422 | − | 15.0547i | −0.0941743 | − | 0.503788i | ||||
\(894\) | 0.0187001 | 0.000864556i | 0.000625423 | 2.89151e-5i | ||||||
\(895\) | 59.8269 | + | 8.34550i | 1.99979 | + | 0.278959i | ||||
\(896\) | −0.0410441 | + | 0.0494275i | −0.00137119 | + | 0.00165126i | ||||
\(897\) | 8.91388 | − | 1.66629i | 0.297626 | − | 0.0556359i | ||||
\(898\) | 0.100410 | − | 0.0140066i | 0.00335074 | − | 0.000467408i | ||||
\(899\) | −17.4037 | + | 28.1079i | −0.580445 | + | 0.937452i | ||||
\(900\) | −7.56662 | + | 2.93132i | −0.252221 | + | 0.0977108i | ||||
\(901\) | −12.3998 | + | 13.3228i | −0.413096 | + | 0.443848i | ||||
\(902\) | −0.0861919 | − | 0.0333909i | −0.00286988 | − | 0.00111180i | ||||
\(903\) | 5.45786 | − | 4.12158i | 0.181626 | − | 0.137158i | ||||
\(904\) | 0.0922349 | + | 0.208892i | 0.00306769 | + | 0.00694765i | ||||
\(905\) | −25.8868 | −0.860506 | ||||||||
\(906\) | 0.0308076 | + | 0.0697725i | 0.00102351 | + | 0.00231804i | ||||
\(907\) | 31.4159 | − | 31.4159i | 1.04315 | − | 1.04315i | 0.0441213 | − | 0.999026i | \(-0.485951\pi\) |
0.999026 | − | 0.0441213i | \(-0.0140488\pi\) | |||||||
\(908\) | −3.61632 | − | 2.01428i | −0.120012 | − | 0.0668462i | ||||
\(909\) | −8.10111 | + | 0.750679i | −0.268697 | + | 0.0248984i | ||||
\(910\) | −0.00123726 | + | 0.00661873i | −4.10146e−5 | + | 0.000219409i | ||||
\(911\) | 6.67429 | − | 9.74326i | 0.221129 | − | 0.322809i | −0.698490 | − | 0.715620i | \(-0.746144\pi\) |
0.919619 | + | 0.392811i | \(0.128497\pi\) | |||||||
\(912\) | −12.8938 | + | 5.69318i | −0.426957 | + | 0.188520i | ||||
\(913\) | −6.83430 | − | 9.97684i | −0.226182 | − | 0.330185i | ||||
\(914\) | 0.0621125 | + | 0.0384584i | 0.00205450 | + | 0.00127209i | ||||
\(915\) | −18.0383 | + | 53.8188i | −0.596326 | + | 1.77920i | ||||
\(916\) | −47.3429 | − | 23.5740i | −1.56425 | − | 0.778906i | ||||
\(917\) | 8.39895 | − | 5.20041i | 0.277358 | − | 0.171733i | ||||
\(918\) | −0.0475186 | − | 0.0215708i | −0.00156835 | − | 0.000711943i | ||||
\(919\) | 37.4586 | + | 23.1934i | 1.23564 | + | 0.765079i | 0.979477 | − | 0.201554i | \(-0.0645990\pi\) |
0.256167 | + | 0.966632i | \(0.417540\pi\) | |||||||
\(920\) | 0.0809845 | + | 0.130794i | 0.00266998 | + | 0.00431216i | ||||
\(921\) | −46.1160 | + | 55.5354i | −1.51957 | + | 1.82995i | ||||
\(922\) | 0.0300432 | − | 0.0273880i | 0.000989421 | − | 0.000901977i | ||||
\(923\) | 6.96110 | − | 5.78043i | 0.229127 | − | 0.190265i | ||||
\(924\) | 9.25585 | − | 2.17696i | 0.304495 | − | 0.0716166i | ||||
\(925\) | 1.90397 | + | 13.6491i | 0.0626021 | + | 0.448780i | ||||
\(926\) | 0.0798933 | − | 0.0397821i | 0.00262546 | − | 0.00130732i | ||||
\(927\) | 1.53938 | − | 2.48619i | 0.0505599 | − | 0.0816571i | ||||
\(928\) | 0.124323 | + | 0.370930i | 0.00408111 | + | 0.0121764i | ||||
\(929\) | 19.9108 | − | 29.0661i | 0.653251 | − | 0.953629i | −0.346627 | − | 0.938003i | \(-0.612673\pi\) |
0.999878 | − | 0.0156260i | \(-0.00497411\pi\) | |||||||
\(930\) | −0.0815849 | + | 0.0273445i | −0.00267527 | + | 0.000896662i | ||||
\(931\) | 3.08518 | + | 10.8433i | 0.101113 | + | 0.355375i | ||||
\(932\) | −10.0210 | − | 10.0210i | −0.328249 | − | 0.328249i | ||||
\(933\) | −19.3361 | + | 49.9121i | −0.633034 | + | 1.63405i | ||||
\(934\) | −0.0618676 | + | 0.0563998i | −0.00202437 | + | 0.00184546i | ||||
\(935\) | 41.8043 | + | 26.4854i | 1.36715 | + | 0.866165i | ||||
\(936\) | 0.0189264 | + | 0.0172537i | 0.000618630 | + | 0.000563956i | ||||
\(937\) | 34.0532 | − | 16.9565i | 1.11247 | − | 0.553944i | 0.206994 | − | 0.978342i | \(-0.433632\pi\) |
0.905476 | + | 0.424398i | \(0.139514\pi\) | |||||||
\(938\) | −0.0261940 | − | 0.00616077i | −0.000855264 | − | 0.000201156i | ||||
\(939\) | −1.17031 | + | 12.6297i | −0.0381917 | + | 0.412155i | ||||
\(940\) | 42.2673 | + | 28.9538i | 1.37861 | + | 0.944369i | ||||
\(941\) | 9.19828 | + | 3.08295i | 0.299855 | + | 0.100501i | 0.463721 | − | 0.885981i | \(-0.346514\pi\) |
−0.163866 | + | 0.986483i | \(0.552396\pi\) | |||||||
\(942\) | −0.0340246 | + | 0.0340246i | −0.00110858 | + | 0.00110858i | ||||
\(943\) | −13.8598 | + | 15.2035i | −0.451338 | + | 0.495094i | ||||
\(944\) | 16.4946 | − | 12.4562i | 0.536855 | − | 0.405414i | ||||
\(945\) | 4.69621 | + | 1.57401i | 0.152768 | + | 0.0512025i | ||||
\(946\) | −0.00461234 | + | 0.0997634i | −0.000149960 | + | 0.00324359i | ||||
\(947\) | −1.29624 | − | 28.0372i | −0.0421221 | − | 0.911087i | −0.910076 | − | 0.414442i | \(-0.863977\pi\) |
0.867954 | − | 0.496645i | \(-0.165435\pi\) | |||||||
\(948\) | −22.5084 | + | 45.2030i | −0.731040 | + | 1.46813i | ||||
\(949\) | −2.00097 | + | 0.670659i | −0.0649544 | + | 0.0217705i | ||||
\(950\) | −0.0175939 | − | 0.00500591i | −0.000570823 | − | 0.000162413i | ||||
\(951\) | −40.8367 | + | 54.0766i | −1.32422 | + | 1.75355i | ||||
\(952\) | −0.0271231 | − | 0.0189944i | −0.000879066 | − | 0.000615612i | ||||
\(953\) | −24.8500 | − | 32.9067i | −0.804969 | − | 1.06595i | −0.996428 | − | 0.0844510i | \(-0.973086\pi\) |
0.191458 | − | 0.981501i | \(-0.438678\pi\) | |||||||
\(954\) | 0.00854243 | + | 0.0220506i | 0.000276571 | + | 0.000713913i | ||||
\(955\) | 14.7455 | + | 62.6938i | 0.477152 | + | 2.02872i | ||||
\(956\) | −23.0695 | − | 30.5489i | −0.746120 | − | 0.988023i | ||||
\(957\) | 24.5327 | − | 73.1955i | 0.793028 | − | 2.36607i | ||||
\(958\) | 0.0509177 | + | 0.0613178i | 0.00164507 | + | 0.00198109i | ||||
\(959\) | −8.22504 | − | 1.14734i | −0.265600 | − | 0.0370497i | ||||
\(960\) | 17.0322 | − | 43.9651i | 0.549711 | − | 1.41897i | ||||
\(961\) | −15.5773 | + | 4.43212i | −0.502493 | + | 0.142972i | ||||
\(962\) | 0.0179417 | − | 0.0122903i | 0.000578463 | − | 0.000396256i | ||||
\(963\) | −4.32114 | − | 7.75793i | −0.139247 | − | 0.249996i | ||||
\(964\) | 24.3024 | + | 5.71586i | 0.782726 | + | 0.184096i | ||||
\(965\) | −29.8925 | + | 11.5804i | −0.962273 | + | 0.372787i | ||||
\(966\) | −0.00210463 | + | 0.0150876i | −6.77154e−5 | + | 0.000485436i | ||||
\(967\) | −6.55948 | + | 35.0901i | −0.210939 | + | 1.12842i | 0.699454 | + | 0.714678i | \(0.253427\pi\) |
−0.910393 | + | 0.413745i | \(0.864221\pi\) | |||||||
\(968\) | −0.0493630 | + | 0.0991343i | −0.00158659 | + | 0.00318630i | ||||
\(969\) | −6.93833 | − | 12.7651i | −0.222891 | − | 0.410074i | ||||
\(970\) | −0.0238643 | − | 0.0479259i | −0.000766236 | − | 0.00153881i | ||||
\(971\) | −1.96160 | + | 0.558122i | −0.0629506 | + | 0.0179110i | −0.304992 | − | 0.952355i | \(-0.598654\pi\) |
0.242041 | + | 0.970266i | \(0.422183\pi\) | |||||||
\(972\) | 20.9357 | − | 17.3848i | 0.671512 | − | 0.557616i | ||||
\(973\) | 4.00487 | + | 0.748639i | 0.128390 | + | 0.0240003i | ||||
\(974\) | 0.110796 | + | 0.00512241i | 0.00355014 | + | 0.000164133i | ||||
\(975\) | −0.996679 | − | 7.14496i | −0.0319193 | − | 0.228822i | ||||
\(976\) | −18.7447 | − | 33.6531i | −0.600002 | − | 1.07721i | ||||
\(977\) | − | 29.3300i | − | 0.938350i | −0.883105 | − | 0.469175i | \(-0.844551\pi\) | ||
0.883105 | − | 0.469175i | \(-0.155449\pi\) | |||||||
\(978\) | −0.0433648 | − | 0.00401834i | −0.00138665 | − | 0.000128492i | ||||
\(979\) | 2.53115 | − | 54.7479i | 0.0808959 | − | 1.74975i | ||||
\(980\) | −32.9465 | − | 18.3511i | −1.05244 | − | 0.586203i | ||||
\(981\) | −8.12109 | + | 14.5802i | −0.259287 | + | 0.465509i | ||||
\(982\) | 0.106466 | + | 0.0412451i | 0.00339746 | + | 0.00131618i | ||||
\(983\) | −22.5663 | − | 15.4583i | −0.719754 | − | 0.493043i | 0.148656 | − | 0.988889i | \(-0.452505\pi\) |
−0.868411 | + | 0.495846i | \(0.834858\pi\) | |||||||
\(984\) | −0.180783 | − | 0.0167520i | −0.00576314 | − | 0.000534034i | ||||
\(985\) | −3.82489 | + | 13.4431i | −0.121871 | + | 0.428333i | ||||
\(986\) | −0.123519 | + | 0.0530212i | −0.00393365 | + | 0.00168854i | ||||
\(987\) | 2.77681 | + | 9.75946i | 0.0883867 | + | 0.310647i | ||||
\(988\) | −0.736853 | − | 3.94181i | −0.0234424 | − | 0.125406i | ||||
\(989\) | 20.3339 | + | 8.97830i | 0.646581 | + | 0.285493i | ||||
\(990\) | 0.0546683 | − | 0.0338492i | 0.00173747 | − | 0.00107580i | ||||
\(991\) | 7.16751 | + | 30.4744i | 0.227684 | + | 0.968051i | 0.958413 | + | 0.285384i | \(0.0921212\pi\) |
−0.730730 | + | 0.682667i | \(0.760820\pi\) | |||||||
\(992\) | 0.0707620 | − | 0.160261i | 0.00224670 | − | 0.00508828i | ||||
\(993\) | −4.02657 | + | 9.11932i | −0.127779 | + | 0.289393i | ||||
\(994\) | 0.00549087 | + | 0.0141736i | 0.000174160 | + | 0.000449558i | ||||
\(995\) | −2.74286 | − | 1.36578i | −0.0869546 | − | 0.0432982i | ||||
\(996\) | −9.13706 | − | 7.58732i | −0.289519 | − | 0.240413i | ||||
\(997\) | 22.7592 | − | 1.05222i | 0.720792 | − | 0.0333242i | 0.317323 | − | 0.948318i | \(-0.397216\pi\) |
0.403469 | + | 0.914993i | \(0.367804\pi\) | |||||||
\(998\) | −0.0690078 | − | 0.0690078i | −0.00218440 | − | 0.00218440i | ||||
\(999\) | −7.13055 | − | 14.3201i | −0.225600 | − | 0.453067i |
(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 | 289.2.h.a.115.13 | ✓ | 768 | |
289.191 | even | 68 | inner | 289.2.h.a.191.13 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
289.2.h.a.115.13 | ✓ | 768 | 1.1 | even | 1 | trivial | |
289.2.h.a.191.13 | yes | 768 | 289.191 | even | 68 | inner |