Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,3,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.735696713773\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.5 | ||
Character | \(\chi\) | \(=\) | 27.14 |
Dual form | 27.3.f.a.2.5 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.58003 | − | 0.454929i | 1.29001 | − | 0.227464i | 0.513787 | − | 0.857918i | \(-0.328242\pi\) |
0.776227 | + | 0.630453i | \(0.217131\pi\) | |||||||
\(3\) | −2.92175 | + | 0.680712i | −0.973917 | + | 0.226904i | ||||
\(4\) | 2.69082 | − | 0.979377i | 0.672704 | − | 0.244844i | ||||
\(5\) | 0.519123 | − | 0.618667i | 0.103825 | − | 0.123733i | −0.711630 | − | 0.702555i | \(-0.752043\pi\) |
0.815454 | + | 0.578821i | \(0.196487\pi\) | |||||||
\(6\) | −7.22853 | + | 3.08544i | −1.20475 | + | 0.514241i | ||||
\(7\) | −5.56035 | − | 2.02380i | −0.794335 | − | 0.289114i | −0.0871982 | − | 0.996191i | \(-0.527791\pi\) |
−0.707137 | + | 0.707077i | \(0.750014\pi\) | |||||||
\(8\) | −2.57852 | + | 1.48871i | −0.322315 | + | 0.186088i | ||||
\(9\) | 8.07326 | − | 3.97774i | 0.897029 | − | 0.441971i | ||||
\(10\) | 1.05790 | − | 1.83234i | 0.105790 | − | 0.183234i | ||||
\(11\) | 12.1979 | + | 14.5368i | 1.10890 | + | 1.32153i | 0.942021 | + | 0.335553i | \(0.108923\pi\) |
0.166875 | + | 0.985978i | \(0.446632\pi\) | |||||||
\(12\) | −7.19523 | + | 4.69317i | −0.599602 | + | 0.391097i | ||||
\(13\) | 3.42641 | − | 19.4321i | 0.263570 | − | 1.49478i | −0.509506 | − | 0.860467i | \(-0.670172\pi\) |
0.773076 | − | 0.634313i | \(-0.218717\pi\) | |||||||
\(14\) | −15.2665 | − | 2.69190i | −1.09047 | − | 0.192279i | ||||
\(15\) | −1.09562 | + | 2.16096i | −0.0730410 | + | 0.144064i | ||||
\(16\) | −14.7497 | + | 12.3765i | −0.921856 | + | 0.773529i | ||||
\(17\) | 4.04738 | + | 2.33676i | 0.238081 | + | 0.137456i | 0.614294 | − | 0.789077i | \(-0.289441\pi\) |
−0.376213 | + | 0.926533i | \(0.622774\pi\) | |||||||
\(18\) | 19.0197 | − | 13.9354i | 1.05665 | − | 0.774191i | ||||
\(19\) | −4.96228 | − | 8.59492i | −0.261173 | − | 0.452364i | 0.705381 | − | 0.708828i | \(-0.250776\pi\) |
−0.966554 | + | 0.256464i | \(0.917443\pi\) | |||||||
\(20\) | 0.790957 | − | 2.17314i | 0.0395479 | − | 0.108657i | ||||
\(21\) | 17.6236 | + | 2.12805i | 0.839218 | + | 0.101336i | ||||
\(22\) | 38.0840 | + | 31.9563i | 1.73109 | + | 1.45256i | ||||
\(23\) | −4.36717 | − | 11.9987i | −0.189877 | − | 0.521683i | 0.807826 | − | 0.589421i | \(-0.200644\pi\) |
−0.997703 | + | 0.0677380i | \(0.978422\pi\) | |||||||
\(24\) | 6.52041 | − | 6.10486i | 0.271684 | − | 0.254369i | ||||
\(25\) | 4.22794 | + | 23.9779i | 0.169118 | + | 0.959115i | ||||
\(26\) | − | 51.6943i | − | 1.98824i | ||||||
\(27\) | −20.8804 | + | 17.1175i | −0.773347 | + | 0.633983i | ||||
\(28\) | −16.9439 | −0.605141 | ||||||||
\(29\) | −5.94796 | + | 1.04879i | −0.205102 | + | 0.0361650i | −0.275255 | − | 0.961371i | \(-0.588762\pi\) |
0.0701531 | + | 0.997536i | \(0.477651\pi\) | |||||||
\(30\) | −1.84363 | + | 6.07378i | −0.0614545 | + | 0.202459i | ||||
\(31\) | −34.4136 | + | 12.5255i | −1.11012 | + | 0.404049i | −0.831036 | − | 0.556219i | \(-0.812252\pi\) |
−0.279080 | + | 0.960268i | \(0.590029\pi\) | |||||||
\(32\) | −24.7688 | + | 29.5183i | −0.774026 | + | 0.922448i | ||||
\(33\) | −45.5345 | − | 34.1698i | −1.37983 | − | 1.03545i | ||||
\(34\) | 11.5054 | + | 4.18763i | 0.338394 | + | 0.123165i | ||||
\(35\) | −4.13856 | + | 2.38940i | −0.118245 | + | 0.0682686i | ||||
\(36\) | 17.8280 | − | 18.6101i | 0.495221 | − | 0.516949i | ||||
\(37\) | 9.43563 | − | 16.3430i | 0.255017 | − | 0.441702i | −0.709883 | − | 0.704319i | \(-0.751252\pi\) |
0.964900 | + | 0.262617i | \(0.0845856\pi\) | |||||||
\(38\) | −16.7129 | − | 19.9177i | −0.439813 | − | 0.524149i | ||||
\(39\) | 3.21657 | + | 59.1083i | 0.0824761 | + | 1.51560i | ||||
\(40\) | −0.417554 | + | 2.36807i | −0.0104388 | + | 0.0592017i | ||||
\(41\) | 21.6826 | + | 3.82322i | 0.528843 | + | 0.0932493i | 0.431693 | − | 0.902021i | \(-0.357916\pi\) |
0.0971497 | + | 0.995270i | \(0.469027\pi\) | |||||||
\(42\) | 46.4374 | − | 2.52704i | 1.10565 | − | 0.0601677i | ||||
\(43\) | 26.6242 | − | 22.3404i | 0.619168 | − | 0.519543i | −0.278374 | − | 0.960473i | \(-0.589796\pi\) |
0.897542 | + | 0.440929i | \(0.145351\pi\) | |||||||
\(44\) | 47.0593 | + | 27.1697i | 1.06953 | + | 0.617493i | ||||
\(45\) | 1.73012 | − | 7.05960i | 0.0384471 | − | 0.156880i | ||||
\(46\) | −16.7260 | − | 28.9703i | −0.363608 | − | 0.629788i | ||||
\(47\) | −9.90463 | + | 27.2128i | −0.210737 | + | 0.578995i | −0.999356 | − | 0.0358875i | \(-0.988574\pi\) |
0.788619 | + | 0.614882i | \(0.210796\pi\) | |||||||
\(48\) | 34.6701 | − | 46.2012i | 0.722294 | − | 0.962526i | ||||
\(49\) | −10.7145 | − | 8.99053i | −0.218663 | − | 0.183480i | ||||
\(50\) | 21.8164 | + | 59.9402i | 0.436329 | + | 1.19880i | ||||
\(51\) | −13.4161 | − | 4.07232i | −0.263061 | − | 0.0798494i | ||||
\(52\) | −9.81156 | − | 55.6441i | −0.188684 | − | 1.07008i | ||||
\(53\) | − | 19.9708i | − | 0.376808i | −0.982092 | − | 0.188404i | \(-0.939669\pi\) | ||
0.982092 | − | 0.188404i | \(-0.0603314\pi\) | |||||||
\(54\) | −46.0847 | + | 53.6628i | −0.853420 | + | 0.993756i | ||||
\(55\) | 15.3257 | 0.278648 | ||||||||
\(56\) | 17.3503 | − | 3.05933i | 0.309827 | − | 0.0546308i | ||||
\(57\) | 20.3492 | + | 21.7343i | 0.357004 | + | 0.381304i | ||||
\(58\) | −14.8688 | + | 5.41180i | −0.256358 | + | 0.0933068i | ||||
\(59\) | 38.4471 | − | 45.8195i | 0.651646 | − | 0.776601i | −0.334516 | − | 0.942390i | \(-0.608573\pi\) |
0.986161 | + | 0.165789i | \(0.0530172\pi\) | |||||||
\(60\) | −0.831700 | + | 6.88778i | −0.0138617 | + | 0.114796i | ||||
\(61\) | 13.9494 | + | 5.07718i | 0.228679 | + | 0.0832325i | 0.453819 | − | 0.891094i | \(-0.350061\pi\) |
−0.225139 | + | 0.974327i | \(0.572284\pi\) | |||||||
\(62\) | −83.0898 | + | 47.9719i | −1.34016 | + | 0.773741i | ||||
\(63\) | −52.9403 | + | 5.77895i | −0.840322 | + | 0.0917293i | ||||
\(64\) | −11.9669 | + | 20.7272i | −0.186982 | + | 0.323863i | ||||
\(65\) | −10.2433 | − | 12.2075i | −0.157589 | − | 0.187807i | ||||
\(66\) | −133.025 | − | 67.4441i | −2.01553 | − | 1.02188i | ||||
\(67\) | 10.1402 | − | 57.5078i | 0.151346 | − | 0.858325i | −0.810705 | − | 0.585455i | \(-0.800916\pi\) |
0.962051 | − | 0.272870i | \(-0.0879729\pi\) | |||||||
\(68\) | 13.1793 | + | 2.32387i | 0.193814 | + | 0.0341746i | ||||
\(69\) | 20.9275 | + | 32.0845i | 0.303296 | + | 0.464992i | ||||
\(70\) | −9.59061 | + | 8.04747i | −0.137009 | + | 0.114964i | ||||
\(71\) | 72.4603 | + | 41.8350i | 1.02057 | + | 0.589225i | 0.914268 | − | 0.405109i | \(-0.132767\pi\) |
0.106299 | + | 0.994334i | \(0.466100\pi\) | |||||||
\(72\) | −14.8954 | + | 22.2754i | −0.206880 | + | 0.309381i | ||||
\(73\) | 57.2344 | + | 99.1330i | 0.784033 | + | 1.35799i | 0.929575 | + | 0.368634i | \(0.120174\pi\) |
−0.145541 | + | 0.989352i | \(0.546492\pi\) | |||||||
\(74\) | 16.9093 | − | 46.4579i | 0.228504 | − | 0.627810i | ||||
\(75\) | −28.6750 | − | 67.1793i | −0.382334 | − | 0.895725i | ||||
\(76\) | −21.7703 | − | 18.2674i | −0.286451 | − | 0.240361i | ||||
\(77\) | −38.4046 | − | 105.516i | −0.498762 | − | 1.37034i | ||||
\(78\) | 35.1889 | + | 151.038i | 0.451140 | + | 1.93638i | ||||
\(79\) | 4.96527 | + | 28.1594i | 0.0628515 | + | 0.356449i | 0.999972 | + | 0.00744337i | \(0.00236932\pi\) |
−0.937121 | + | 0.349005i | \(0.886520\pi\) | |||||||
\(80\) | 15.5501i | 0.194376i | ||||||||
\(81\) | 49.3551 | − | 64.2267i | 0.609323 | − | 0.792922i | ||||
\(82\) | 57.6809 | 0.703426 | ||||||||
\(83\) | −22.9583 | + | 4.04818i | −0.276607 | + | 0.0487732i | −0.310231 | − | 0.950661i | \(-0.600406\pi\) |
0.0336240 | + | 0.999435i | \(0.489295\pi\) | |||||||
\(84\) | 49.5060 | − | 11.5339i | 0.589357 | − | 0.137309i | ||||
\(85\) | 3.54676 | − | 1.29092i | 0.0417266 | − | 0.0151872i | ||||
\(86\) | 58.5279 | − | 69.7509i | 0.680557 | − | 0.811057i | ||||
\(87\) | 16.6645 | − | 7.11314i | 0.191546 | − | 0.0817602i | ||||
\(88\) | −53.0935 | − | 19.3244i | −0.603335 | − | 0.219596i | ||||
\(89\) | −121.389 | + | 70.0840i | −1.36392 | + | 0.787461i | −0.990143 | − | 0.140057i | \(-0.955271\pi\) |
−0.373779 | + | 0.927518i | \(0.621938\pi\) | |||||||
\(90\) | 1.25215 | − | 19.0010i | 0.0139128 | − | 0.211123i | ||||
\(91\) | −58.3788 | + | 101.115i | −0.641525 | + | 1.11115i | ||||
\(92\) | −23.5025 | − | 28.0092i | −0.255462 | − | 0.304448i | ||||
\(93\) | 92.0217 | − | 60.0222i | 0.989481 | − | 0.645400i | ||||
\(94\) | −13.1744 | + | 74.7156i | −0.140153 | + | 0.794847i | ||||
\(95\) | −7.89343 | − | 1.39182i | −0.0830887 | − | 0.0146508i | ||||
\(96\) | 52.2749 | − | 103.106i | 0.544530 | − | 1.07402i | ||||
\(97\) | 50.5839 | − | 42.4449i | 0.521483 | − | 0.437576i | −0.343665 | − | 0.939092i | \(-0.611669\pi\) |
0.865149 | + | 0.501516i | \(0.167224\pi\) | |||||||
\(98\) | −31.7338 | − | 18.3215i | −0.323814 | − | 0.186954i | ||||
\(99\) | 156.300 | + | 68.8398i | 1.57879 | + | 0.695352i | ||||
\(100\) | 34.8600 | + | 60.3793i | 0.348600 | + | 0.603793i | ||||
\(101\) | −7.92206 | + | 21.7657i | −0.0784363 | + | 0.215502i | −0.972713 | − | 0.232013i | \(-0.925469\pi\) |
0.894276 | + | 0.447515i | \(0.147691\pi\) | |||||||
\(102\) | −36.4665 | − | 4.40334i | −0.357515 | − | 0.0431700i | ||||
\(103\) | −130.500 | − | 109.502i | −1.26699 | − | 1.06313i | −0.994901 | − | 0.100858i | \(-0.967841\pi\) |
−0.272088 | − | 0.962272i | \(-0.587714\pi\) | |||||||
\(104\) | 20.0937 | + | 55.2070i | 0.193209 | + | 0.530837i | ||||
\(105\) | 10.4654 | − | 9.79840i | 0.0996701 | − | 0.0933181i | ||||
\(106\) | −9.08529 | − | 51.5253i | −0.0857103 | − | 0.486087i | ||||
\(107\) | − | 2.15337i | − | 0.0201249i | −0.999949 | − | 0.0100625i | \(-0.996797\pi\) | ||
0.999949 | − | 0.0100625i | \(-0.00320304\pi\) | |||||||
\(108\) | −39.4207 | + | 66.5099i | −0.365007 | + | 0.615833i | ||||
\(109\) | −46.2958 | −0.424732 | −0.212366 | − | 0.977190i | \(-0.568117\pi\) | ||||
−0.212366 | + | 0.977190i | \(0.568117\pi\) | |||||||
\(110\) | 39.5406 | − | 6.97208i | 0.359460 | − | 0.0633825i | ||||
\(111\) | −16.4437 | + | 54.1731i | −0.148141 | + | 0.488046i | ||||
\(112\) | 107.061 | − | 38.9670i | 0.955901 | − | 0.347919i | ||||
\(113\) | −78.6830 | + | 93.7708i | −0.696310 | + | 0.829830i | −0.992103 | − | 0.125422i | \(-0.959972\pi\) |
0.295794 | + | 0.955252i | \(0.404416\pi\) | |||||||
\(114\) | 62.3891 | + | 46.8178i | 0.547273 | + | 0.410682i | ||||
\(115\) | −9.69030 | − | 3.52698i | −0.0842635 | − | 0.0306694i | ||||
\(116\) | −14.9777 | + | 8.64739i | −0.129118 | + | 0.0745465i | ||||
\(117\) | −49.6337 | − | 170.510i | −0.424220 | − | 1.45735i | ||||
\(118\) | 78.3500 | − | 135.706i | 0.663983 | − | 1.15005i | ||||
\(119\) | −17.7757 | − | 21.1843i | −0.149376 | − | 0.178019i | ||||
\(120\) | −0.391982 | − | 7.20313i | −0.00326651 | − | 0.0600261i | ||||
\(121\) | −41.5206 | + | 235.475i | −0.343145 | + | 1.94607i | ||||
\(122\) | 38.2997 | + | 6.75327i | 0.313932 | + | 0.0553547i | ||||
\(123\) | −65.9536 | + | 3.58908i | −0.536208 | + | 0.0291795i | ||||
\(124\) | −80.3335 | + | 67.4078i | −0.647851 | + | 0.543611i | ||||
\(125\) | 34.5145 | + | 19.9269i | 0.276116 | + | 0.159415i | ||||
\(126\) | −133.958 | + | 38.9939i | −1.06316 | + | 0.309475i | ||||
\(127\) | −55.7242 | − | 96.5172i | −0.438773 | − | 0.759978i | 0.558822 | − | 0.829288i | \(-0.311254\pi\) |
−0.997595 | + | 0.0693101i | \(0.977920\pi\) | |||||||
\(128\) | 31.2715 | − | 85.9176i | 0.244308 | − | 0.671231i | ||||
\(129\) | −62.5820 | + | 83.3964i | −0.485131 | + | 0.646484i | ||||
\(130\) | −31.9815 | − | 26.8357i | −0.246012 | − | 0.206428i | ||||
\(131\) | 1.28028 | + | 3.51755i | 0.00977316 | + | 0.0268515i | 0.944483 | − | 0.328559i | \(-0.106563\pi\) |
−0.934710 | + | 0.355411i | \(0.884341\pi\) | |||||||
\(132\) | −155.990 | − | 47.3492i | −1.18174 | − | 0.358706i | ||||
\(133\) | 10.1976 | + | 57.8334i | 0.0766736 | + | 0.434838i | ||||
\(134\) | − | 152.985i | − | 1.14168i | ||||||
\(135\) | −0.249431 | + | 21.8041i | −0.00184764 | + | 0.161512i | ||||
\(136\) | −13.9150 | −0.102316 | ||||||||
\(137\) | −191.020 | + | 33.6820i | −1.39431 | + | 0.245854i | −0.819802 | − | 0.572648i | \(-0.805916\pi\) |
−0.574504 | + | 0.818501i | \(0.694805\pi\) | |||||||
\(138\) | 68.5896 | + | 73.2583i | 0.497026 | + | 0.530857i | ||||
\(139\) | 138.533 | − | 50.4220i | 0.996642 | − | 0.362748i | 0.208353 | − | 0.978054i | \(-0.433190\pi\) |
0.788289 | + | 0.615306i | \(0.210967\pi\) | |||||||
\(140\) | −8.79599 | + | 10.4827i | −0.0628285 | + | 0.0748761i | ||||
\(141\) | 10.4148 | − | 86.2511i | 0.0738640 | − | 0.611710i | ||||
\(142\) | 205.982 | + | 74.9712i | 1.45057 | + | 0.527966i | ||||
\(143\) | 324.277 | − | 187.221i | 2.26767 | − | 1.30924i | ||||
\(144\) | −69.8478 | + | 158.589i | −0.485054 | + | 1.10131i | ||||
\(145\) | −2.43888 | + | 4.22426i | −0.0168198 | + | 0.0291328i | ||||
\(146\) | 192.765 | + | 229.728i | 1.32031 | + | 1.57348i | ||||
\(147\) | 37.4251 | + | 18.9746i | 0.254592 | + | 0.129079i | ||||
\(148\) | 9.38360 | − | 53.2170i | 0.0634027 | − | 0.359575i | ||||
\(149\) | 75.3342 | + | 13.2835i | 0.505599 | + | 0.0891507i | 0.420629 | − | 0.907233i | \(-0.361809\pi\) |
0.0849698 | + | 0.996384i | \(0.472921\pi\) | |||||||
\(150\) | −104.544 | − | 160.280i | −0.696961 | − | 1.06853i | ||||
\(151\) | 148.499 | − | 124.606i | 0.983438 | − | 0.825202i | −0.00116684 | − | 0.999999i | \(-0.500371\pi\) |
0.984604 | + | 0.174797i | \(0.0559270\pi\) | |||||||
\(152\) | 25.5907 | + | 14.7748i | 0.168360 | + | 0.0972024i | ||||
\(153\) | 41.9706 | + | 2.76581i | 0.274317 | + | 0.0180772i | ||||
\(154\) | −147.087 | − | 254.763i | −0.955112 | − | 1.65430i | ||||
\(155\) | −10.1158 | + | 27.7928i | −0.0652630 | + | 0.179309i | ||||
\(156\) | 66.5445 | + | 155.899i | 0.426567 | + | 0.999355i | ||||
\(157\) | 137.746 | + | 115.582i | 0.877361 | + | 0.736193i | 0.965635 | − | 0.259903i | \(-0.0836906\pi\) |
−0.0882738 | + | 0.996096i | \(0.528135\pi\) | |||||||
\(158\) | 25.6211 | + | 70.3933i | 0.162159 | + | 0.445527i | ||||
\(159\) | 13.5944 | + | 58.3497i | 0.0854992 | + | 0.366980i | ||||
\(160\) | 5.40395 | + | 30.6473i | 0.0337747 | + | 0.191546i | ||||
\(161\) | 75.5552i | 0.469287i | ||||||||
\(162\) | 98.1191 | − | 188.160i | 0.605674 | − | 1.16148i | ||||
\(163\) | −91.8649 | −0.563588 | −0.281794 | − | 0.959475i | \(-0.590930\pi\) | ||||
−0.281794 | + | 0.959475i | \(0.590930\pi\) | |||||||
\(164\) | 62.0882 | − | 10.9478i | 0.378586 | − | 0.0667550i | ||||
\(165\) | −44.7777 | + | 10.4324i | −0.271380 | + | 0.0632264i | ||||
\(166\) | −57.3916 | + | 20.8888i | −0.345732 | + | 0.125836i | ||||
\(167\) | −119.775 | + | 142.742i | −0.717216 | + | 0.854744i | −0.994357 | − | 0.106085i | \(-0.966169\pi\) |
0.277141 | + | 0.960829i | \(0.410613\pi\) | |||||||
\(168\) | −48.6107 | + | 20.7491i | −0.289350 | + | 0.123507i | ||||
\(169\) | −207.060 | − | 75.3636i | −1.22521 | − | 0.445939i | ||||
\(170\) | 8.56347 | − | 4.94412i | 0.0503734 | − | 0.0290831i | ||||
\(171\) | −74.2502 | − | 49.6504i | −0.434212 | − | 0.290353i | ||||
\(172\) | 49.7612 | − | 86.1890i | 0.289309 | − | 0.501099i | ||||
\(173\) | −104.602 | − | 124.659i | −0.604633 | − | 0.720574i | 0.373714 | − | 0.927544i | \(-0.378084\pi\) |
−0.978347 | + | 0.206970i | \(0.933640\pi\) | |||||||
\(174\) | 39.7590 | − | 25.9333i | 0.228500 | − | 0.149042i | ||||
\(175\) | 25.0176 | − | 141.882i | 0.142958 | − | 0.810753i | ||||
\(176\) | −359.829 | − | 63.4476i | −2.04448 | − | 0.360498i | ||||
\(177\) | −81.1430 | + | 160.044i | −0.458435 | + | 0.904206i | ||||
\(178\) | −281.304 | + | 236.042i | −1.58036 | + | 1.32608i | ||||
\(179\) | −131.530 | − | 75.9388i | −0.734803 | − | 0.424239i | 0.0853735 | − | 0.996349i | \(-0.472792\pi\) |
−0.820177 | + | 0.572110i | \(0.806125\pi\) | |||||||
\(180\) | −2.25857 | − | 20.6905i | −0.0125476 | − | 0.114947i | ||||
\(181\) | 2.78080 | + | 4.81648i | 0.0153635 | + | 0.0266104i | 0.873605 | − | 0.486636i | \(-0.161776\pi\) |
−0.858241 | + | 0.513246i | \(0.828443\pi\) | |||||||
\(182\) | −104.619 | + | 287.438i | −0.574829 | + | 1.57933i | ||||
\(183\) | −44.2129 | − | 5.33871i | −0.241601 | − | 0.0291733i | ||||
\(184\) | 29.1234 | + | 24.4374i | 0.158279 | + | 0.132812i | ||||
\(185\) | −5.21261 | − | 14.3215i | −0.0281763 | − | 0.0774137i | ||||
\(186\) | 210.113 | − | 196.722i | 1.12964 | − | 1.05765i | ||||
\(187\) | 15.4003 | + | 87.3395i | 0.0823546 | + | 0.467056i | ||||
\(188\) | 82.9249i | 0.441090i | ||||||||
\(189\) | 150.745 | − | 52.9217i | 0.797590 | − | 0.280009i | ||||
\(190\) | −20.9985 | −0.110518 | ||||||||
\(191\) | 372.156 | − | 65.6211i | 1.94846 | − | 0.343566i | 0.948847 | − | 0.315737i | \(-0.102252\pi\) |
0.999613 | − | 0.0278287i | \(-0.00885930\pi\) | |||||||
\(192\) | 20.8549 | − | 68.7057i | 0.108619 | − | 0.357842i | ||||
\(193\) | −21.9199 | + | 7.97819i | −0.113575 | + | 0.0413378i | −0.398182 | − | 0.917306i | \(-0.630359\pi\) |
0.284608 | + | 0.958644i | \(0.408137\pi\) | |||||||
\(194\) | 111.198 | − | 132.521i | 0.573188 | − | 0.683099i | ||||
\(195\) | 38.2381 | + | 28.6945i | 0.196093 | + | 0.147151i | ||||
\(196\) | −37.6359 | − | 13.6983i | −0.192020 | − | 0.0698895i | ||||
\(197\) | −48.3057 | + | 27.8893i | −0.245207 | + | 0.141570i | −0.617567 | − | 0.786518i | \(-0.711882\pi\) |
0.372361 | + | 0.928088i | \(0.378548\pi\) | |||||||
\(198\) | 434.576 | + | 106.503i | 2.19483 | + | 0.537895i | ||||
\(199\) | −11.0228 | + | 19.0921i | −0.0553910 | + | 0.0959400i | −0.892391 | − | 0.451262i | \(-0.850974\pi\) |
0.837000 | + | 0.547202i | \(0.184307\pi\) | |||||||
\(200\) | −46.5979 | − | 55.5332i | −0.232989 | − | 0.277666i | ||||
\(201\) | 9.51916 | + | 174.926i | 0.0473590 | + | 0.870278i | ||||
\(202\) | −10.5373 | + | 59.7601i | −0.0521649 | + | 0.295842i | ||||
\(203\) | 35.1953 | + | 6.20587i | 0.173376 | + | 0.0305708i | ||||
\(204\) | −40.0886 | + | 2.18155i | −0.196513 | + | 0.0106939i | ||||
\(205\) | 13.6212 | − | 11.4296i | 0.0664450 | − | 0.0557540i | ||||
\(206\) | −386.509 | − | 223.151i | −1.87626 | − | 1.08326i | ||||
\(207\) | −82.9851 | − | 79.4972i | −0.400894 | − | 0.384045i | ||||
\(208\) | 189.963 | + | 329.025i | 0.913282 | + | 1.58185i | ||||
\(209\) | 64.4138 | − | 176.975i | 0.308200 | − | 0.846773i | ||||
\(210\) | 22.5434 | − | 30.0412i | 0.107349 | − | 0.143053i | ||||
\(211\) | 128.818 | + | 108.091i | 0.610512 | + | 0.512280i | 0.894805 | − | 0.446457i | \(-0.147315\pi\) |
−0.284293 | + | 0.958737i | \(0.591759\pi\) | |||||||
\(212\) | −19.5590 | − | 53.7378i | −0.0922593 | − | 0.253480i | ||||
\(213\) | −240.189 | − | 72.9068i | −1.12765 | − | 0.342285i | ||||
\(214\) | −0.979628 | − | 5.55575i | −0.00457770 | − | 0.0259614i | ||||
\(215\) | − | 28.0689i | − | 0.130553i | ||||||
\(216\) | 28.3574 | − | 75.2226i | 0.131284 | − | 0.348253i | ||||
\(217\) | 216.701 | 0.998621 | ||||||||
\(218\) | −119.444 | + | 21.0613i | −0.547910 | + | 0.0966113i | ||||
\(219\) | −234.706 | − | 250.682i | −1.07172 | − | 1.14467i | ||||
\(220\) | 41.2385 | − | 15.0096i | 0.187448 | − | 0.0682254i | ||||
\(221\) | 59.2761 | − | 70.6426i | 0.268218 | − | 0.319650i | ||||
\(222\) | −17.7803 | + | 147.249i | −0.0800915 | + | 0.663283i | ||||
\(223\) | −10.4645 | − | 3.80878i | −0.0469262 | − | 0.0170797i | 0.318450 | − | 0.947940i | \(-0.396838\pi\) |
−0.365377 | + | 0.930860i | \(0.619060\pi\) | |||||||
\(224\) | 197.463 | − | 114.005i | 0.881529 | − | 0.508951i | ||||
\(225\) | 129.511 | + | 176.762i | 0.575605 | + | 0.785609i | ||||
\(226\) | −160.345 | + | 277.726i | −0.709493 | + | 1.22888i | ||||
\(227\) | 155.762 | + | 185.630i | 0.686175 | + | 0.817752i | 0.990887 | − | 0.134693i | \(-0.0430047\pi\) |
−0.304712 | + | 0.952445i | \(0.598560\pi\) | |||||||
\(228\) | 76.0421 | + | 38.5536i | 0.333518 | + | 0.169095i | ||||
\(229\) | 34.4423 | − | 195.332i | 0.150403 | − | 0.852978i | −0.812466 | − | 0.583009i | \(-0.801875\pi\) |
0.962869 | − | 0.269969i | \(-0.0870136\pi\) | |||||||
\(230\) | −26.6058 | − | 4.69132i | −0.115677 | − | 0.0203970i | ||||
\(231\) | 184.035 | + | 282.149i | 0.796687 | + | 1.22142i | ||||
\(232\) | 13.7756 | − | 11.5591i | 0.0593775 | − | 0.0498237i | ||||
\(233\) | 90.0701 | + | 52.0020i | 0.386567 | + | 0.223184i | 0.680672 | − | 0.732589i | \(-0.261688\pi\) |
−0.294105 | + | 0.955773i | \(0.595021\pi\) | |||||||
\(234\) | −205.626 | − | 417.341i | −0.878745 | − | 1.78351i | ||||
\(235\) | 11.6939 | + | 20.2544i | 0.0497613 | + | 0.0861891i | ||||
\(236\) | 58.5796 | − | 160.946i | 0.248218 | − | 0.681975i | ||||
\(237\) | −33.6757 | − | 78.8949i | −0.142092 | − | 0.332890i | ||||
\(238\) | −55.4991 | − | 46.5693i | −0.233190 | − | 0.195669i | ||||
\(239\) | −114.970 | − | 315.876i | −0.481044 | − | 1.32166i | −0.908599 | − | 0.417669i | \(-0.862847\pi\) |
0.427555 | − | 0.903989i | \(-0.359375\pi\) | |||||||
\(240\) | −10.5851 | − | 45.4334i | −0.0441046 | − | 0.189306i | ||||
\(241\) | −16.0293 | − | 90.9066i | −0.0665115 | − | 0.377206i | −0.999835 | − | 0.0181689i | \(-0.994216\pi\) |
0.933323 | − | 0.359037i | \(-0.116895\pi\) | |||||||
\(242\) | 626.421i | 2.58852i | ||||||||
\(243\) | −100.484 | + | 221.251i | −0.413513 | + | 0.910498i | ||||
\(244\) | 42.5079 | 0.174213 | ||||||||
\(245\) | −11.1243 | + | 1.96151i | −0.0454053 | + | 0.00800617i | ||||
\(246\) | −168.529 | + | 39.2641i | −0.685078 | + | 0.159610i | ||||
\(247\) | −184.021 | + | 66.9780i | −0.745023 | + | 0.271166i | ||||
\(248\) | 70.0892 | − | 83.5291i | 0.282618 | − | 0.336811i | ||||
\(249\) | 64.3229 | − | 27.4558i | 0.258325 | − | 0.110264i | ||||
\(250\) | 98.1136 | + | 35.7104i | 0.392454 | + | 0.142842i | ||||
\(251\) | −140.368 | + | 81.0414i | −0.559234 | + | 0.322874i | −0.752838 | − | 0.658206i | \(-0.771316\pi\) |
0.193604 | + | 0.981080i | \(0.437982\pi\) | |||||||
\(252\) | −136.793 | + | 67.3986i | −0.542829 | + | 0.267455i | ||||
\(253\) | 121.153 | − | 209.843i | 0.478866 | − | 0.829420i | ||||
\(254\) | −187.678 | − | 223.667i | −0.738892 | − | 0.880577i | ||||
\(255\) | −9.48401 | + | 6.18606i | −0.0371922 | + | 0.0242590i | ||||
\(256\) | 58.2190 | − | 330.177i | 0.227418 | − | 1.28975i | ||||
\(257\) | 327.025 | + | 57.6633i | 1.27247 | + | 0.224371i | 0.768780 | − | 0.639513i | \(-0.220864\pi\) |
0.503691 | + | 0.863884i | \(0.331975\pi\) | |||||||
\(258\) | −123.524 | + | 243.635i | −0.478775 | + | 0.944323i | ||||
\(259\) | −85.5403 | + | 71.7768i | −0.330271 | + | 0.277131i | ||||
\(260\) | −39.5186 | − | 22.8161i | −0.151995 | − | 0.0877541i | ||||
\(261\) | −43.8477 | + | 32.1266i | −0.167999 | + | 0.123090i | ||||
\(262\) | 4.90340 | + | 8.49294i | 0.0187153 | + | 0.0324158i | ||||
\(263\) | −97.3777 | + | 267.543i | −0.370257 | + | 1.01727i | 0.605005 | + | 0.796222i | \(0.293171\pi\) |
−0.975262 | + | 0.221052i | \(0.929051\pi\) | |||||||
\(264\) | 168.280 | + | 20.3199i | 0.637426 | + | 0.0769692i | ||||
\(265\) | −12.3553 | − | 10.3673i | −0.0466237 | − | 0.0391219i | ||||
\(266\) | 52.6201 | + | 144.573i | 0.197820 | + | 0.543506i | ||||
\(267\) | 306.962 | − | 287.399i | 1.14967 | − | 1.07640i | ||||
\(268\) | −29.0365 | − | 164.674i | −0.108345 | − | 0.614455i | ||||
\(269\) | 123.107i | 0.457646i | 0.973468 | + | 0.228823i | \(0.0734877\pi\) | ||||
−0.973468 | + | 0.228823i | \(0.926512\pi\) | |||||||
\(270\) | 9.27577 | + | 56.3687i | 0.0343547 | + | 0.208773i | ||||
\(271\) | −345.130 | −1.27354 | −0.636772 | − | 0.771052i | \(-0.719731\pi\) | ||||
−0.636772 | + | 0.771052i | \(0.719731\pi\) | |||||||
\(272\) | −88.6183 | + | 15.6258i | −0.325803 | + | 0.0574478i | ||||
\(273\) | 101.738 | − | 335.172i | 0.372667 | − | 1.22774i | ||||
\(274\) | −477.514 | + | 173.801i | −1.74275 | + | 0.634310i | ||||
\(275\) | −296.991 | + | 353.940i | −1.07997 | + | 1.28705i | ||||
\(276\) | 87.7347 | + | 65.8375i | 0.317879 | + | 0.238542i | ||||
\(277\) | −147.517 | − | 53.6918i | −0.532553 | − | 0.193833i | 0.0617250 | − | 0.998093i | \(-0.480340\pi\) |
−0.594278 | + | 0.804260i | \(0.702562\pi\) | |||||||
\(278\) | 334.481 | − | 193.113i | 1.20317 | − | 0.694650i | ||||
\(279\) | −228.007 | + | 238.010i | −0.817228 | + | 0.853083i | ||||
\(280\) | 7.11424 | − | 12.3222i | 0.0254080 | − | 0.0440079i | ||||
\(281\) | 21.6740 | + | 25.8301i | 0.0771318 | + | 0.0919222i | 0.803230 | − | 0.595669i | \(-0.203113\pi\) |
−0.726098 | + | 0.687591i | \(0.758668\pi\) | |||||||
\(282\) | −12.3675 | − | 227.268i | −0.0438565 | − | 0.805916i | ||||
\(283\) | 17.8594 | − | 101.285i | 0.0631073 | − | 0.357899i | −0.936859 | − | 0.349707i | \(-0.886281\pi\) |
0.999966 | − | 0.00819227i | \(-0.00260771\pi\) | |||||||
\(284\) | 235.950 | + | 41.6043i | 0.830809 | + | 0.146494i | ||||
\(285\) | 24.0101 | − | 1.30659i | 0.0842459 | − | 0.00458451i | ||||
\(286\) | 751.471 | − | 630.559i | 2.62752 | − | 2.20475i | ||||
\(287\) | −112.825 | − | 65.1396i | −0.393119 | − | 0.226967i | ||||
\(288\) | −82.5490 | + | 336.833i | −0.286628 | + | 1.16956i | ||||
\(289\) | −133.579 | − | 231.366i | −0.462212 | − | 0.800574i | ||||
\(290\) | −4.37063 | + | 12.0082i | −0.0150711 | + | 0.0414076i | ||||
\(291\) | −118.901 | + | 158.447i | −0.408594 | + | 0.544490i | ||||
\(292\) | 251.096 | + | 210.695i | 0.859918 | + | 0.721557i | ||||
\(293\) | 162.927 | + | 447.638i | 0.556064 | + | 1.52777i | 0.825297 | + | 0.564699i | \(0.191008\pi\) |
−0.269233 | + | 0.963075i | \(0.586770\pi\) | |||||||
\(294\) | 105.190 | + | 31.9293i | 0.357788 | + | 0.108603i | ||||
\(295\) | −8.38821 | − | 47.5719i | −0.0284346 | − | 0.161261i | ||||
\(296\) | 56.1876i | 0.189823i | ||||||||
\(297\) | −503.531 | − | 94.7373i | −1.69539 | − | 0.318981i | ||||
\(298\) | 200.407 | 0.672508 | ||||||||
\(299\) | −248.124 | + | 43.7510i | −0.829847 | + | 0.146324i | ||||
\(300\) | −142.953 | − | 152.684i | −0.476511 | − | 0.508946i | ||||
\(301\) | −193.252 | + | 70.3381i | −0.642034 | + | 0.233681i | ||||
\(302\) | 326.445 | − | 389.042i | 1.08094 | − | 1.28822i | ||||
\(303\) | 8.33014 | − | 68.9866i | 0.0274922 | − | 0.227678i | ||||
\(304\) | 179.567 | + | 65.3570i | 0.590680 | + | 0.214990i | ||||
\(305\) | 10.3826 | − | 5.99438i | 0.0340412 | − | 0.0196537i | ||||
\(306\) | 109.543 | − | 11.9577i | 0.357985 | − | 0.0390776i | ||||
\(307\) | 16.6781 | − | 28.8873i | 0.0543260 | − | 0.0940954i | −0.837584 | − | 0.546309i | \(-0.816032\pi\) |
0.891910 | + | 0.452214i | \(0.149366\pi\) | |||||||
\(308\) | −206.680 | − | 246.311i | −0.671038 | − | 0.799712i | ||||
\(309\) | 455.828 | + | 231.106i | 1.47517 | + | 0.747916i | ||||
\(310\) | −13.4552 | + | 76.3083i | −0.0434039 | + | 0.246156i | ||||
\(311\) | 211.519 | + | 37.2966i | 0.680126 | + | 0.119925i | 0.503030 | − | 0.864269i | \(-0.332218\pi\) |
0.177096 | + | 0.984194i | \(0.443330\pi\) | |||||||
\(312\) | −96.2889 | − | 147.623i | −0.308618 | − | 0.473151i | ||||
\(313\) | −234.192 | + | 196.511i | −0.748218 | + | 0.627830i | −0.935031 | − | 0.354566i | \(-0.884629\pi\) |
0.186813 | + | 0.982396i | \(0.440184\pi\) | |||||||
\(314\) | 407.970 | + | 235.541i | 1.29927 | + | 0.750132i | ||||
\(315\) | −23.9073 | + | 35.7524i | −0.0758962 | + | 0.113500i | ||||
\(316\) | 40.9393 | + | 70.9090i | 0.129555 | + | 0.224396i | ||||
\(317\) | 202.382 | − | 556.041i | 0.638430 | − | 1.75407i | −0.0181701 | − | 0.999835i | \(-0.505784\pi\) |
0.656601 | − | 0.754238i | \(-0.271994\pi\) | |||||||
\(318\) | 61.6188 | + | 144.360i | 0.193770 | + | 0.453961i | ||||
\(319\) | −87.7984 | − | 73.6716i | −0.275230 | − | 0.230945i | ||||
\(320\) | 6.61096 | + | 18.1635i | 0.0206593 | + | 0.0567608i | ||||
\(321\) | 1.46582 | + | 6.29160i | 0.00456643 | + | 0.0196000i | ||||
\(322\) | 34.3722 | + | 194.935i | 0.106746 | + | 0.605387i | ||||
\(323\) | − | 46.3825i | − | 0.143599i | ||||||
\(324\) | 69.9035 | − | 221.160i | 0.215752 | − | 0.682592i | ||||
\(325\) | 480.428 | 1.47824 | ||||||||
\(326\) | −237.014 | + | 41.7920i | −0.727037 | + | 0.128196i | ||||
\(327\) | 135.265 | − | 31.5141i | 0.413653 | − | 0.0963733i | ||||
\(328\) | −61.6005 | + | 22.4208i | −0.187806 | + | 0.0683559i | ||||
\(329\) | 110.146 | − | 131.267i | 0.334791 | − | 0.398989i | ||||
\(330\) | −110.782 | + | 47.2865i | −0.335703 | + | 0.143292i | ||||
\(331\) | 497.363 | + | 181.025i | 1.50261 | + | 0.546905i | 0.956734 | − | 0.290963i | \(-0.0939756\pi\) |
0.545874 | + | 0.837867i | \(0.316198\pi\) | |||||||
\(332\) | −57.8120 | + | 33.3778i | −0.174133 | + | 0.100536i | ||||
\(333\) | 11.1681 | − | 169.474i | 0.0335379 | − | 0.508930i | ||||
\(334\) | −244.085 | + | 422.768i | −0.730795 | + | 1.26577i | ||||
\(335\) | −30.3142 | − | 36.1270i | −0.0904900 | − | 0.107842i | ||||
\(336\) | −286.280 | + | 186.729i | −0.852024 | + | 0.555742i | ||||
\(337\) | −89.2378 | + | 506.093i | −0.264801 | + | 1.50176i | 0.504802 | + | 0.863235i | \(0.331566\pi\) |
−0.769602 | + | 0.638524i | \(0.779545\pi\) | |||||||
\(338\) | −568.505 | − | 100.243i | −1.68197 | − | 0.296576i | ||||
\(339\) | 166.061 | − | 327.535i | 0.489856 | − | 0.966181i | ||||
\(340\) | 8.27939 | − | 6.94724i | 0.0243512 | − | 0.0204330i | ||||
\(341\) | −601.854 | − | 347.480i | −1.76497 | − | 1.01900i | ||||
\(342\) | −214.155 | − | 94.3209i | −0.626184 | − | 0.275792i | ||||
\(343\) | 186.353 | + | 322.772i | 0.543302 | + | 0.941027i | ||||
\(344\) | −35.3927 | + | 97.2407i | −0.102886 | + | 0.282676i | ||||
\(345\) | 30.7135 | + | 3.70866i | 0.0890247 | + | 0.0107497i | ||||
\(346\) | −326.586 | − | 274.038i | −0.943891 | − | 0.792018i | ||||
\(347\) | −93.5499 | − | 257.026i | −0.269596 | − | 0.740710i | −0.998430 | − | 0.0560187i | \(-0.982159\pi\) |
0.728833 | − | 0.684691i | \(-0.240063\pi\) | |||||||
\(348\) | 37.8748 | − | 35.4610i | 0.108836 | − | 0.101900i | ||||
\(349\) | −43.3413 | − | 245.801i | −0.124187 | − | 0.704301i | −0.981787 | − | 0.189984i | \(-0.939157\pi\) |
0.857600 | − | 0.514317i | \(-0.171955\pi\) | |||||||
\(350\) | − | 377.440i | − | 1.07840i | ||||||
\(351\) | 261.086 | + | 464.402i | 0.743834 | + | 1.32308i | ||||
\(352\) | −731.230 | −2.07736 | ||||||||
\(353\) | 69.1294 | − | 12.1894i | 0.195834 | − | 0.0345308i | −0.0748707 | − | 0.997193i | \(-0.523854\pi\) |
0.270705 | + | 0.962662i | \(0.412743\pi\) | |||||||
\(354\) | −136.542 | + | 449.834i | −0.385713 | + | 1.27072i | ||||
\(355\) | 63.4977 | − | 23.1113i | 0.178867 | − | 0.0651022i | ||||
\(356\) | −257.997 | + | 307.469i | −0.724711 | + | 0.863677i | ||||
\(357\) | 66.3566 | + | 49.7950i | 0.185873 | + | 0.139482i | ||||
\(358\) | −373.897 | − | 136.088i | −1.04441 | − | 0.380133i | ||||
\(359\) | −113.033 | + | 65.2597i | −0.314855 | + | 0.181782i | −0.649097 | − | 0.760706i | \(-0.724853\pi\) |
0.334242 | + | 0.942487i | \(0.391520\pi\) | |||||||
\(360\) | 6.04853 | + | 20.7789i | 0.0168015 | + | 0.0577193i | ||||
\(361\) | 131.252 | − | 227.334i | 0.363578 | − | 0.629735i | ||||
\(362\) | 9.36569 | + | 11.1616i | 0.0258721 | + | 0.0308332i | ||||
\(363\) | −38.9777 | − | 716.262i | −0.107377 | − | 1.97317i | ||||
\(364\) | −58.0569 | + | 329.257i | −0.159497 | + | 0.904552i | ||||
\(365\) | 91.0420 | + | 16.0532i | 0.249430 | + | 0.0439813i | ||||
\(366\) | −116.499 | + | 6.33968i | −0.318304 | + | 0.0173215i | ||||
\(367\) | −309.570 | + | 259.760i | −0.843516 | + | 0.707794i | −0.958352 | − | 0.285591i | \(-0.907810\pi\) |
0.114836 | + | 0.993384i | \(0.463366\pi\) | |||||||
\(368\) | 212.916 | + | 122.927i | 0.578576 | + | 0.334041i | ||||
\(369\) | 190.257 | − | 55.3818i | 0.515601 | − | 0.150086i | ||||
\(370\) | −19.9640 | − | 34.5786i | −0.0539567 | − | 0.0934557i | ||||
\(371\) | −40.4169 | + | 111.045i | −0.108941 | + | 0.299312i | ||||
\(372\) | 188.829 | − | 251.633i | 0.507605 | − | 0.676432i | ||||
\(373\) | 147.121 | + | 123.449i | 0.394427 | + | 0.330963i | 0.818335 | − | 0.574742i | \(-0.194898\pi\) |
−0.423908 | + | 0.905705i | \(0.639342\pi\) | |||||||
\(374\) | 79.4665 | + | 218.332i | 0.212477 | + | 0.583776i | ||||
\(375\) | −114.407 | − | 34.7271i | −0.305086 | − | 0.0926057i | ||||
\(376\) | −14.9726 | − | 84.9136i | −0.0398207 | − | 0.225834i | ||||
\(377\) | 119.175i | 0.316115i | ||||||||
\(378\) | 364.850 | − | 205.118i | 0.965211 | − | 0.542639i | ||||
\(379\) | 220.367 | 0.581442 | 0.290721 | − | 0.956808i | \(-0.406105\pi\) | ||||
0.290721 | + | 0.956808i | \(0.406105\pi\) | |||||||
\(380\) | −22.6029 | + | 3.98550i | −0.0594813 | + | 0.0104882i | ||||
\(381\) | 228.513 | + | 244.067i | 0.599771 | + | 0.640596i | ||||
\(382\) | 930.320 | − | 338.609i | 2.43539 | − | 0.886410i | ||||
\(383\) | 31.9732 | − | 38.1042i | 0.0834810 | − | 0.0994888i | −0.722687 | − | 0.691175i | \(-0.757093\pi\) |
0.806168 | + | 0.591687i | \(0.201538\pi\) | |||||||
\(384\) | −32.8823 | + | 272.317i | −0.0856309 | + | 0.709158i | ||||
\(385\) | −85.2159 | − | 31.0161i | −0.221340 | − | 0.0805612i | ||||
\(386\) | −52.9245 | + | 30.5559i | −0.137110 | + | 0.0791605i | ||||
\(387\) | 126.080 | − | 286.264i | 0.325788 | − | 0.739700i | ||||
\(388\) | 94.5424 | − | 163.752i | 0.243666 | − | 0.422042i | ||||
\(389\) | 334.415 | + | 398.540i | 0.859678 | + | 1.02452i | 0.999410 | + | 0.0343355i | \(0.0109315\pi\) |
−0.139732 | + | 0.990189i | \(0.544624\pi\) | |||||||
\(390\) | 111.709 | + | 56.6370i | 0.286434 | + | 0.145223i | ||||
\(391\) | 10.3624 | − | 58.7683i | 0.0265024 | − | 0.150303i | ||||
\(392\) | 41.0118 | + | 7.23148i | 0.104622 | + | 0.0184477i | ||||
\(393\) | −6.13511 | − | 9.40590i | −0.0156110 | − | 0.0239336i | ||||
\(394\) | −111.942 | + | 93.9309i | −0.284118 | + | 0.238403i | ||||
\(395\) | 19.9989 | + | 11.5464i | 0.0506301 | + | 0.0292313i | ||||
\(396\) | 487.996 | + | 32.1584i | 1.23231 | + | 0.0812080i | ||||
\(397\) | −236.091 | − | 408.922i | −0.594688 | − | 1.03003i | −0.993591 | − | 0.113037i | \(-0.963942\pi\) |
0.398903 | − | 0.916993i | \(-0.369391\pi\) | |||||||
\(398\) | −19.7536 | + | 54.2727i | −0.0496323 | + | 0.136364i | ||||
\(399\) | −69.1627 | − | 162.033i | −0.173340 | − | 0.406098i | ||||
\(400\) | −359.122 | − | 301.339i | −0.897805 | − | 0.753348i | ||||
\(401\) | −197.351 | − | 542.218i | −0.492148 | − | 1.35216i | −0.898711 | − | 0.438542i | \(-0.855495\pi\) |
0.406563 | − | 0.913623i | \(-0.366727\pi\) | |||||||
\(402\) | 104.139 | + | 446.983i | 0.259051 | + | 1.11190i | ||||
\(403\) | 125.483 | + | 711.648i | 0.311371 | + | 1.76587i | ||||
\(404\) | 66.3262i | 0.164174i | ||||||||
\(405\) | −14.1135 | − | 63.8760i | −0.0348482 | − | 0.157718i | ||||
\(406\) | 93.6280 | 0.230611 | ||||||||
\(407\) | 352.670 | − | 62.1852i | 0.866511 | − | 0.152789i | ||||
\(408\) | 40.6561 | − | 9.47209i | 0.0996473 | − | 0.0232159i | ||||
\(409\) | 544.458 | − | 198.167i | 1.33119 | − | 0.484515i | 0.424166 | − | 0.905584i | \(-0.360567\pi\) |
0.907028 | + | 0.421069i | \(0.138345\pi\) | |||||||
\(410\) | 29.9435 | − | 35.6853i | 0.0730329 | − | 0.0870373i | ||||
\(411\) | 535.185 | − | 228.440i | 1.30215 | − | 0.555815i | ||||
\(412\) | −458.396 | − | 166.842i | −1.11261 | − | 0.404957i | ||||
\(413\) | −306.509 | + | 176.963i | −0.742151 | + | 0.428481i | ||||
\(414\) | −250.269 | − | 167.353i | −0.604516 | − | 0.404234i | ||||
\(415\) | −9.41374 | + | 16.3051i | −0.0226837 | + | 0.0392893i | ||||
\(416\) | 488.737 | + | 582.454i | 1.17485 | + | 1.40013i | ||||
\(417\) | −370.437 | + | 241.622i | −0.888338 | + | 0.579428i | ||||
\(418\) | 85.6783 | − | 485.906i | 0.204972 | − | 1.16245i | ||||
\(419\) | −698.951 | − | 123.244i | −1.66814 | − | 0.294138i | −0.741742 | − | 0.670685i | \(-0.766000\pi\) |
−0.926398 | + | 0.376547i | \(0.877111\pi\) | |||||||
\(420\) | 18.5640 | − | 36.6153i | 0.0442001 | − | 0.0871792i | ||||
\(421\) | −312.697 | + | 262.384i | −0.742747 | + | 0.623239i | −0.933574 | − | 0.358385i | \(-0.883328\pi\) |
0.190827 | + | 0.981624i | \(0.438883\pi\) | |||||||
\(422\) | 381.528 | + | 220.275i | 0.904094 | + | 0.521979i | ||||
\(423\) | 28.2826 | + | 259.094i | 0.0668619 | + | 0.612515i | ||||
\(424\) | 29.7307 | + | 51.4951i | 0.0701196 | + | 0.121451i | ||||
\(425\) | −38.9183 | + | 106.927i | −0.0915725 | + | 0.251593i | ||||
\(426\) | −652.861 | − | 78.8330i | −1.53254 | − | 0.185054i | ||||
\(427\) | −67.2885 | − | 56.4618i | −0.157584 | − | 0.132229i | ||||
\(428\) | −2.10896 | − | 5.79432i | −0.00492748 | − | 0.0135381i | ||||
\(429\) | −820.013 | + | 767.753i | −1.91145 | + | 1.78963i | ||||
\(430\) | −12.7694 | − | 72.4186i | −0.0296962 | − | 0.168415i | ||||
\(431\) | − | 607.828i | − | 1.41027i | −0.709071 | − | 0.705137i | \(-0.750885\pi\) | ||
0.709071 | − | 0.705137i | \(-0.249115\pi\) | |||||||
\(432\) | 96.1245 | − | 510.903i | 0.222510 | − | 1.18265i | ||||
\(433\) | −80.5066 | −0.185928 | −0.0929638 | − | 0.995669i | \(-0.529634\pi\) | ||||
−0.0929638 | + | 0.995669i | \(0.529634\pi\) | |||||||
\(434\) | 559.094 | − | 98.5834i | 1.28823 | − | 0.227151i | ||||
\(435\) | 4.25029 | − | 14.0024i | 0.00977077 | − | 0.0321894i | ||||
\(436\) | −124.573 | + | 45.3410i | −0.285719 | + | 0.103993i | ||||
\(437\) | −81.4568 | + | 97.0764i | −0.186400 | + | 0.222143i | ||||
\(438\) | −719.590 | − | 539.992i | −1.64290 | − | 1.23286i | ||||
\(439\) | −37.2491 | − | 13.5576i | −0.0848500 | − | 0.0308829i | 0.299246 | − | 0.954176i | \(-0.403265\pi\) |
−0.384096 | + | 0.923293i | \(0.625487\pi\) | |||||||
\(440\) | −39.5175 | + | 22.8154i | −0.0898124 | + | 0.0518532i | ||||
\(441\) | −122.263 | − | 29.9634i | −0.277240 | − | 0.0679443i | ||||
\(442\) | 120.797 | − | 209.226i | 0.273296 | − | 0.473363i | ||||
\(443\) | −314.490 | − | 374.794i | −0.709909 | − | 0.846036i | 0.283700 | − | 0.958913i | \(-0.408438\pi\) |
−0.993609 | + | 0.112877i | \(0.963993\pi\) | |||||||
\(444\) | 8.80892 | + | 161.874i | 0.0198399 | + | 0.364582i | ||||
\(445\) | −19.6572 | + | 111.482i | −0.0441735 | + | 0.250521i | ||||
\(446\) | −28.7315 | − | 5.06614i | −0.0644204 | − | 0.0113591i | ||||
\(447\) | −229.150 | + | 12.4699i | −0.512640 | + | 0.0278969i | ||||
\(448\) | 108.488 | − | 91.0319i | 0.242160 | − | 0.203196i | ||||
\(449\) | 334.763 | + | 193.275i | 0.745574 | + | 0.430457i | 0.824093 | − | 0.566455i | \(-0.191686\pi\) |
−0.0785183 | + | 0.996913i | \(0.525019\pi\) | |||||||
\(450\) | 414.556 | + | 397.133i | 0.921236 | + | 0.882517i | ||||
\(451\) | 208.903 | + | 361.831i | 0.463200 | + | 0.802286i | ||||
\(452\) | −119.885 | + | 329.380i | −0.265232 | + | 0.728718i | ||||
\(453\) | −349.057 | + | 465.151i | −0.770545 | + | 1.02682i | ||||
\(454\) | 486.318 | + | 408.069i | 1.07119 | + | 0.898831i | ||||
\(455\) | 32.2508 | + | 88.6082i | 0.0708808 | + | 0.194743i | ||||
\(456\) | −84.8269 | − | 25.7483i | −0.186024 | − | 0.0564657i | ||||
\(457\) | −83.9707 | − | 476.221i | −0.183743 | − | 1.04206i | −0.927559 | − | 0.373676i | \(-0.878097\pi\) |
0.743816 | − | 0.668384i | \(-0.233014\pi\) | |||||||
\(458\) | − | 519.631i | − | 1.13457i | ||||||
\(459\) | −124.510 | + | 20.4888i | −0.271264 | + | 0.0446380i | ||||
\(460\) | −29.5291 | −0.0641937 | ||||||||
\(461\) | 324.900 | − | 57.2886i | 0.704771 | − | 0.124270i | 0.190235 | − | 0.981739i | \(-0.439075\pi\) |
0.514537 | + | 0.857468i | \(0.327964\pi\) | |||||||
\(462\) | 603.172 | + | 644.229i | 1.30557 | + | 1.39444i | ||||
\(463\) | 504.528 | − | 183.633i | 1.08969 | − | 0.396616i | 0.266186 | − | 0.963922i | \(-0.414237\pi\) |
0.823507 | + | 0.567306i | \(0.192014\pi\) | |||||||
\(464\) | 74.7503 | − | 89.0840i | 0.161100 | − | 0.191991i | ||||
\(465\) | 10.6368 | − | 88.0897i | 0.0228749 | − | 0.189440i | ||||
\(466\) | 256.041 | + | 93.1911i | 0.549443 | + | 0.199981i | ||||
\(467\) | 150.586 | − | 86.9408i | 0.322454 | − | 0.186169i | −0.330032 | − | 0.943970i | \(-0.607060\pi\) |
0.652486 | + | 0.757801i | \(0.273726\pi\) | |||||||
\(468\) | −300.549 | − | 410.202i | −0.642199 | − | 0.876499i | ||||
\(469\) | −172.767 | + | 299.241i | −0.368373 | + | 0.638041i | ||||
\(470\) | 39.3849 | + | 46.9371i | 0.0837977 | + | 0.0998663i | ||||
\(471\) | −481.137 | − | 243.938i | −1.02152 | − | 0.517915i | ||||
\(472\) | −30.9247 | + | 175.383i | −0.0655184 | + | 0.371574i | ||||
\(473\) | 649.516 | + | 114.527i | 1.37318 | + | 0.242130i | ||||
\(474\) | −122.776 | − | 188.231i | −0.259021 | − | 0.397112i | ||||
\(475\) | 185.108 | − | 155.324i | 0.389700 | − | 0.326997i | ||||
\(476\) | −68.5785 | − | 39.5938i | −0.144073 | − | 0.0831803i | ||||
\(477\) | −79.4387 | − | 161.230i | −0.166538 | − | 0.338008i | ||||
\(478\) | −440.326 | − | 762.667i | −0.921184 | − | 1.59554i | ||||
\(479\) | −223.306 | + | 613.528i | −0.466192 | + | 1.28085i | 0.454564 | + | 0.890714i | \(0.349795\pi\) |
−0.920756 | + | 0.390138i | \(0.872427\pi\) | |||||||
\(480\) | −36.6510 | − | 85.8653i | −0.0763562 | − | 0.178886i | ||||
\(481\) | −285.249 | − | 239.352i | −0.593033 | − | 0.497614i | ||||
\(482\) | −82.7120 | − | 227.249i | −0.171602 | − | 0.471472i | ||||
\(483\) | −51.4313 | − | 220.754i | −0.106483 | − | 0.457047i | ||||
\(484\) | 118.894 | + | 674.284i | 0.245650 | + | 1.39315i | ||||
\(485\) | − | 53.3287i | − | 0.109956i | ||||||
\(486\) | −158.597 | + | 616.547i | −0.326331 | + | 1.26862i | ||||
\(487\) | −294.728 | −0.605192 | −0.302596 | − | 0.953119i | \(-0.597853\pi\) | ||||
−0.302596 | + | 0.953119i | \(0.597853\pi\) | |||||||
\(488\) | −43.5273 | + | 7.67504i | −0.0891953 | + | 0.0157275i | ||||
\(489\) | 268.406 | − | 62.5335i | 0.548888 | − | 0.127880i | ||||
\(490\) | −27.8086 | + | 10.1215i | −0.0567523 | + | 0.0206562i | ||||
\(491\) | −409.156 | + | 487.613i | −0.833312 | + | 0.993103i | 0.166663 | + | 0.986014i | \(0.446701\pi\) |
−0.999975 | + | 0.00708859i | \(0.997744\pi\) | |||||||
\(492\) | −173.954 | + | 74.2510i | −0.353565 | + | 0.150917i | ||||
\(493\) | −26.5244 | − | 9.65409i | −0.0538020 | − | 0.0195823i | ||||
\(494\) | −444.308 | + | 256.521i | −0.899409 | + | 0.519274i | ||||
\(495\) | 123.728 | − | 60.9615i | 0.249956 | − | 0.123155i | ||||
\(496\) | 352.568 | − | 610.666i | 0.710823 | − | 1.23118i | ||||
\(497\) | −318.239 | − | 379.262i | −0.640319 | − | 0.763103i | ||||
\(498\) | 153.465 | − | 100.099i | 0.308162 | − | 0.201002i | ||||
\(499\) | −70.1195 | + | 397.667i | −0.140520 | + | 0.796929i | 0.830336 | + | 0.557264i | \(0.188149\pi\) |
−0.970856 | + | 0.239665i | \(0.922962\pi\) | |||||||
\(500\) | 112.388 | + | 19.8171i | 0.224776 | + | 0.0396341i | ||||
\(501\) | 252.786 | − | 498.590i | 0.504564 | − | 0.995189i | ||||
\(502\) | −325.285 | + | 272.946i | −0.647978 | + | 0.543718i | ||||
\(503\) | 260.231 | + | 150.244i | 0.517357 | + | 0.298696i | 0.735853 | − | 0.677142i | \(-0.236782\pi\) |
−0.218496 | + | 0.975838i | \(0.570115\pi\) | |||||||
\(504\) | 127.904 | − | 93.7137i | 0.253778 | − | 0.185940i | ||||
\(505\) | 9.35318 | + | 16.2002i | 0.0185212 | + | 0.0320796i | ||||
\(506\) | 217.115 | − | 596.518i | 0.429081 | − | 1.17889i | ||||
\(507\) | 656.278 | + | 79.2457i | 1.29443 | + | 0.156303i | ||||
\(508\) | −244.470 | − | 205.135i | −0.481241 | − | 0.403809i | ||||
\(509\) | 201.902 | + | 554.722i | 0.396665 | + | 1.08983i | 0.963898 | + | 0.266270i | \(0.0857914\pi\) |
−0.567234 | + | 0.823557i | \(0.691986\pi\) | |||||||
\(510\) | −21.6548 | + | 20.2748i | −0.0424604 | + | 0.0397544i | ||||
\(511\) | −117.618 | − | 667.045i | −0.230172 | − | 1.30537i | ||||
\(512\) | − | 512.624i | − | 1.00122i | ||||||
\(513\) | 250.738 | + | 94.5231i | 0.488768 | + | 0.184256i | ||||
\(514\) | 869.966 | 1.69254 | ||||||||
\(515\) | −135.491 | + | 23.8907i | −0.263089 | + | 0.0463898i | ||||
\(516\) | −86.7201 | + | 285.696i | −0.168062 | + | 0.553674i | ||||
\(517\) | −516.403 | + | 187.955i | −0.998845 | + | 0.363550i | ||||
\(518\) | −188.043 | + | 224.101i | −0.363018 | + | 0.432627i | ||||
\(519\) | 390.477 | + | 293.020i | 0.752364 | + | 0.564586i | ||||
\(520\) | 44.5859 | + | 16.2279i | 0.0857421 | + | 0.0312076i | ||||
\(521\) | 56.9434 | − | 32.8763i | 0.109296 | − | 0.0631022i | −0.444355 | − | 0.895851i | \(-0.646567\pi\) |
0.553652 | + | 0.832748i | \(0.313234\pi\) | |||||||
\(522\) | −98.5129 | + | 102.835i | −0.188722 | + | 0.197002i | ||||
\(523\) | 0.475172 | − | 0.823023i | 0.000908551 | − | 0.00157366i | −0.865571 | − | 0.500787i | \(-0.833044\pi\) |
0.866479 | + | 0.499213i | \(0.166377\pi\) | |||||||
\(524\) | 6.89002 | + | 8.21121i | 0.0131489 | + | 0.0156702i | ||||
\(525\) | 23.4854 | + | 431.573i | 0.0447342 | + | 0.822044i | ||||
\(526\) | −129.524 | + | 734.568i | −0.246244 | + | 1.39652i | ||||
\(527\) | −168.554 | − | 29.7206i | −0.319837 | − | 0.0563958i | ||||
\(528\) | 1094.52 | − | 59.5619i | 2.07296 | − | 0.112807i | ||||
\(529\) | 280.341 | − | 235.234i | 0.529945 | − | 0.444676i | ||||
\(530\) | −36.5934 | − | 21.1272i | −0.0690441 | − | 0.0398626i | ||||
\(531\) | 128.136 | − | 522.845i | 0.241310 | − | 0.984642i | ||||
\(532\) | 84.0806 | + | 145.632i | 0.158046 | + | 0.273744i | ||||
\(533\) | 148.587 | − | 408.239i | 0.278774 | − | 0.765926i | ||||
\(534\) | 661.224 | − | 881.144i | 1.23825 | − | 1.65008i | ||||
\(535\) | −1.33222 | − | 1.11786i | −0.00249013 | − | 0.00208946i | ||||
\(536\) | 59.4656 | + | 163.380i | 0.110943 | + | 0.304814i | ||||
\(537\) | 435.990 | + | 132.340i | 0.811899 | + | 0.246444i | ||||
\(538\) | 56.0048 | + | 317.619i | 0.104098 | + | 0.590370i | ||||
\(539\) | − | 265.420i | − | 0.492431i | ||||||
\(540\) | 20.6833 | + | 58.9152i | 0.0383024 | + | 0.109102i | ||||
\(541\) | −823.790 | −1.52272 | −0.761359 | − | 0.648331i | \(-0.775467\pi\) | ||||
−0.761359 | + | 0.648331i | \(0.775467\pi\) | |||||||
\(542\) | −890.446 | + | 157.010i | −1.64289 | + | 0.289686i | ||||
\(543\) | −11.4034 | − | 12.1796i | −0.0210008 | − | 0.0224303i | ||||
\(544\) | −169.226 | + | 61.5932i | −0.311077 | + | 0.113223i | ||||
\(545\) | −24.0332 | + | 28.6417i | −0.0440976 | + | 0.0525535i | ||||
\(546\) | 110.008 | − | 911.038i | 0.201480 | − | 1.66857i | ||||
\(547\) | 682.001 | + | 248.228i | 1.24680 | + | 0.453799i | 0.879320 | − | 0.476232i | \(-0.157998\pi\) |
0.367482 | + | 0.930031i | \(0.380220\pi\) | |||||||
\(548\) | −481.012 | + | 277.713i | −0.877760 | + | 0.506775i | ||||
\(549\) | 132.813 | − | 14.4979i | 0.241918 | − | 0.0264077i | ||||
\(550\) | −605.227 | + | 1048.28i | −1.10041 | + | 1.90597i | ||||
\(551\) | 38.5297 | + | 45.9179i | 0.0699268 | + | 0.0833355i | ||||
\(552\) | −101.726 | − | 51.5755i | −0.184287 | − | 0.0934338i | ||||
\(553\) | 29.3805 | − | 166.625i | 0.0531292 | − | 0.301311i | ||||
\(554\) | −405.024 | − | 71.4167i | −0.731091 | − | 0.128911i | ||||
\(555\) | 24.9788 | + | 38.2957i | 0.0450068 | + | 0.0690012i | ||||
\(556\) | 323.385 | − | 271.353i | 0.581628 | − | 0.488044i | ||||
\(557\) | 669.336 | + | 386.441i | 1.20168 | + | 0.693790i | 0.960929 | − | 0.276796i | \(-0.0892728\pi\) |
0.240752 | + | 0.970587i | \(0.422606\pi\) | |||||||
\(558\) | −479.986 | + | 717.800i | −0.860190 | + | 1.28638i | ||||
\(559\) | −342.896 | − | 593.913i | −0.613409 | − | 1.06246i | ||||
\(560\) | 31.4702 | − | 86.4637i | 0.0561968 | − | 0.154399i | ||||
\(561\) | −104.449 | − | 244.701i | −0.186183 | − | 0.436187i | ||||
\(562\) | 67.6705 | + | 56.7823i | 0.120410 | + | 0.101036i | ||||
\(563\) | 53.7401 | + | 147.650i | 0.0954531 | + | 0.262255i | 0.978225 | − | 0.207546i | \(-0.0665478\pi\) |
−0.882772 | + | 0.469801i | \(0.844326\pi\) | |||||||
\(564\) | −56.4480 | − | 242.286i | −0.100085 | − | 0.429585i | ||||
\(565\) | 17.1667 | + | 97.3572i | 0.0303835 | + | 0.172314i | ||||
\(566\) | − | 269.444i | − | 0.476050i | ||||||
\(567\) | −404.414 | + | 257.238i | −0.713252 | + | 0.453682i | ||||
\(568\) | −249.120 | −0.438592 | ||||||||
\(569\) | −1090.01 | + | 192.198i | −1.91566 | + | 0.337783i | −0.998196 | − | 0.0600323i | \(-0.980880\pi\) |
−0.917466 | + | 0.397815i | \(0.869769\pi\) | |||||||
\(570\) | 61.3523 | − | 14.2939i | 0.107636 | − | 0.0250770i | ||||
\(571\) | −222.438 | + | 80.9607i | −0.389558 | + | 0.141788i | −0.529371 | − | 0.848390i | \(-0.677572\pi\) |
0.139813 | + | 0.990178i | \(0.455350\pi\) | |||||||
\(572\) | 689.209 | − | 821.368i | 1.20491 | − | 1.43596i | ||||
\(573\) | −1042.68 | + | 445.059i | −1.81968 | + | 0.776718i | ||||
\(574\) | −320.726 | − | 116.735i | −0.558756 | − | 0.203371i | ||||
\(575\) | 269.239 | − | 155.445i | 0.468242 | − | 0.270340i | ||||
\(576\) | −14.1641 | + | 214.937i | −0.0245905 | + | 0.373155i | ||||
\(577\) | 213.678 | − | 370.101i | 0.370326 | − | 0.641423i | −0.619290 | − | 0.785162i | \(-0.712579\pi\) |
0.989616 | + | 0.143740i | \(0.0459128\pi\) | |||||||
\(578\) | −449.893 | − | 536.162i | −0.778362 | − | 0.927615i | ||||
\(579\) | 58.6136 | − | 38.2314i | 0.101233 | − | 0.0660301i | ||||
\(580\) | −2.42543 | + | 13.7553i | −0.00418177 | + | 0.0237160i | ||||
\(581\) | 135.849 | + | 23.9539i | 0.233819 | + | 0.0412287i | ||||
\(582\) | −234.686 | + | 462.888i | −0.403240 | + | 0.795340i | ||||
\(583\) | 290.312 | − | 243.601i | 0.497963 | − | 0.417841i | ||||
\(584\) | −295.160 | − | 170.411i | −0.505411 | − | 0.291799i | ||||
\(585\) | −131.255 | − | 57.8090i | −0.224368 | − | 0.0988189i | ||||
\(586\) | 623.999 | + | 1080.80i | 1.06484 | + | 1.84437i | ||||
\(587\) | −35.0782 | + | 96.3766i | −0.0597585 | + | 0.164185i | −0.965979 | − | 0.258620i | \(-0.916732\pi\) |
0.906221 | + | 0.422805i | \(0.138954\pi\) | |||||||
\(588\) | 119.287 | + | 14.4040i | 0.202870 | + | 0.0244965i | ||||
\(589\) | 278.426 | + | 233.627i | 0.472709 | + | 0.396650i | ||||
\(590\) | −43.2836 | − | 118.921i | −0.0733621 | − | 0.201561i | ||||
\(591\) | 122.153 | − | 114.368i | 0.206688 | − | 0.193516i | ||||
\(592\) | 63.0957 | + | 357.834i | 0.106581 | + | 0.604449i | ||||
\(593\) | 707.734i | 1.19348i | 0.802435 | + | 0.596740i | \(0.203538\pi\) | ||||
−0.802435 | + | 0.596740i | \(0.796462\pi\) | |||||||
\(594\) | −1342.22 | − | 15.3545i | −2.25963 | − | 0.0258494i | ||||
\(595\) | −22.3338 | −0.0375358 | ||||||||
\(596\) | 215.720 | − | 38.0373i | 0.361946 | − | 0.0638209i | ||||
\(597\) | 19.2097 | − | 63.2856i | 0.0321771 | − | 0.106006i | ||||
\(598\) | −620.264 | + | 225.758i | −1.03723 | + | 0.377521i | ||||
\(599\) | 692.971 | − | 825.851i | 1.15688 | − | 1.37872i | 0.244360 | − | 0.969685i | \(-0.421422\pi\) |
0.912520 | − | 0.409032i | \(-0.134133\pi\) | |||||||
\(600\) | 173.949 | + | 130.534i | 0.289916 | + | 0.217557i | ||||
\(601\) | −136.612 | − | 49.7226i | −0.227307 | − | 0.0827331i | 0.225856 | − | 0.974161i | \(-0.427482\pi\) |
−0.453163 | + | 0.891428i | \(0.649704\pi\) | |||||||
\(602\) | −466.598 | + | 269.390i | −0.775079 | + | 0.447492i | ||||
\(603\) | −146.887 | − | 504.610i | −0.243593 | − | 0.836833i | ||||
\(604\) | 277.548 | − | 480.727i | 0.459517 | − | 0.795906i | ||||
\(605\) | 124.126 | + | 147.928i | 0.205167 | + | 0.244509i | ||||
\(606\) | −9.89198 | − | 181.777i | −0.0163234 | − | 0.299962i | ||||
\(607\) | 123.075 | − | 697.992i | 0.202759 | − | 1.14990i | −0.698168 | − | 0.715934i | \(-0.746001\pi\) |
0.900927 | − | 0.433970i | \(-0.142888\pi\) | |||||||
\(608\) | 376.618 | + | 66.4079i | 0.619437 | + | 0.109223i | ||||
\(609\) | −107.056 | + | 5.82581i | −0.175790 | + | 0.00956619i | ||||
\(610\) | 24.0603 | − | 20.1890i | 0.0394431 | − | 0.0330967i | ||||
\(611\) | 494.865 | + | 285.710i | 0.809926 | + | 0.467611i | ||||
\(612\) | 115.644 | − | 33.6627i | 0.188961 | − | 0.0550045i | ||||
\(613\) | 335.095 | + | 580.401i | 0.546647 | + | 0.946821i | 0.998501 | + | 0.0547290i | \(0.0174295\pi\) |
−0.451854 | + | 0.892092i | \(0.649237\pi\) | |||||||
\(614\) | 29.8883 | − | 82.1174i | 0.0486780 | − | 0.133742i | ||||
\(615\) | −32.0176 | + | 42.6665i | −0.0520611 | + | 0.0693764i | ||||
\(616\) | 256.109 | + | 214.901i | 0.415762 | + | 0.348866i | ||||
\(617\) | −158.123 | − | 434.438i | −0.256276 | − | 0.704114i | −0.999389 | − | 0.0349474i | \(-0.988874\pi\) |
0.743113 | − | 0.669166i | \(-0.233349\pi\) | |||||||
\(618\) | 1281.19 | + | 388.891i | 2.07312 | + | 0.629273i | ||||
\(619\) | −132.113 | − | 749.252i | −0.213430 | − | 1.21042i | −0.883610 | − | 0.468224i | \(-0.844894\pi\) |
0.670180 | − | 0.742199i | \(-0.266217\pi\) | |||||||
\(620\) | 84.6926i | 0.136601i | ||||||||
\(621\) | 296.576 | + | 175.782i | 0.477579 | + | 0.283063i | ||||
\(622\) | 562.693 | 0.904651 | ||||||||
\(623\) | 816.801 | − | 144.024i | 1.31108 | − | 0.231178i | ||||
\(624\) | −778.995 | − | 832.019i | −1.24839 | − | 1.33336i | ||||
\(625\) | −541.740 | + | 197.177i | −0.866784 | + | 0.315484i | ||||
\(626\) | −514.824 | + | 613.544i | −0.822403 | + | 0.980102i | ||||
\(627\) | −67.7318 | + | 560.926i | −0.108025 | + | 0.894618i | ||||
\(628\) | 483.847 | + | 176.106i | 0.770457 | + | 0.280424i | ||||
\(629\) | 76.3791 | − | 44.0975i | 0.121429 | − | 0.0701073i | ||||
\(630\) | −45.4167 | + | 103.118i | −0.0720900 | + | 0.163680i | ||||
\(631\) | −524.586 | + | 908.610i | −0.831357 | + | 1.43995i | 0.0656051 | + | 0.997846i | \(0.479102\pi\) |
−0.896962 | + | 0.442107i | \(0.854231\pi\) | |||||||
\(632\) | −54.7242 | − | 65.2178i | −0.0865889 | − | 0.103193i | ||||
\(633\) | −449.953 | − | 228.127i | −0.710826 | − | 0.360391i | ||||
\(634\) | 269.193 | − | 1526.67i | 0.424595 | − | 2.40800i | ||||
\(635\) | −88.6397 | − | 15.6296i | −0.139590 | − | 0.0246135i | ||||
\(636\) | 93.7264 | + | 143.694i | 0.147369 | + | 0.225935i | ||||
\(637\) | −211.418 | + | 177.400i | −0.331896 | + | 0.278494i | ||||
\(638\) | −260.038 | − | 150.133i | −0.407583 | − | 0.235318i | ||||
\(639\) | 751.400 | + | 49.5164i | 1.17590 | + | 0.0774905i | ||||
\(640\) | −36.9207 | − | 63.9484i | −0.0576885 | − | 0.0999194i | ||||
\(641\) | 167.123 | − | 459.168i | 0.260723 | − | 0.716330i | −0.738396 | − | 0.674367i | \(-0.764417\pi\) |
0.999119 | − | 0.0419631i | \(-0.0133612\pi\) | |||||||
\(642\) | 6.64409 | + | 15.5657i | 0.0103491 | + | 0.0242456i | ||||
\(643\) | 112.264 | + | 94.2007i | 0.174594 | + | 0.146502i | 0.725897 | − | 0.687803i | \(-0.241425\pi\) |
−0.551303 | + | 0.834305i | \(0.685869\pi\) | |||||||
\(644\) | 73.9971 | + | 203.305i | 0.114902 | + | 0.315692i | ||||
\(645\) | 19.1068 | + | 82.0104i | 0.0296230 | + | 0.127148i | ||||
\(646\) | −21.1007 | − | 119.668i | −0.0326637 | − | 0.185245i | ||||
\(647\) | 265.958i | 0.411064i | 0.978650 | + | 0.205532i | \(0.0658925\pi\) | ||||
−0.978650 | + | 0.205532i | \(0.934108\pi\) | |||||||
\(648\) | −31.6483 | + | 239.085i | −0.0488400 | + | 0.368958i | ||||
\(649\) | 1135.04 | 1.74891 | ||||||||
\(650\) | 1239.52 | − | 218.560i | 1.90695 | − | 0.336247i | ||||
\(651\) | −633.146 | + | 147.511i | −0.972574 | + | 0.226591i | ||||
\(652\) | −247.192 | + | 89.9704i | −0.379128 | + | 0.137991i | ||||
\(653\) | 41.9175 | − | 49.9553i | 0.0641921 | − | 0.0765012i | −0.732993 | − | 0.680236i | \(-0.761877\pi\) |
0.797185 | + | 0.603735i | \(0.206322\pi\) | |||||||
\(654\) | 334.650 | − | 142.843i | 0.511697 | − | 0.218414i | ||||
\(655\) | 2.84082 | + | 1.03397i | 0.00433713 | + | 0.00157858i | ||||
\(656\) | −367.129 | + | 211.962i | −0.559648 | + | 0.323113i | ||||
\(657\) | 856.394 | + | 572.663i | 1.30349 | + | 0.871633i | ||||
\(658\) | 224.464 | − | 388.782i | 0.341130 | − | 0.590854i | ||||
\(659\) | 24.8265 | + | 29.5871i | 0.0376730 | + | 0.0448969i | 0.784552 | − | 0.620063i | \(-0.212893\pi\) |
−0.746879 | + | 0.664960i | \(0.768449\pi\) | |||||||
\(660\) | −110.272 | + | 71.9259i | −0.167078 | + | 0.108979i | ||||
\(661\) | 172.296 | − | 977.141i | 0.260660 | − | 1.47828i | −0.520454 | − | 0.853889i | \(-0.674237\pi\) |
0.781115 | − | 0.624388i | \(-0.214651\pi\) | |||||||
\(662\) | 1365.57 | + | 240.786i | 2.06279 | + | 0.363725i | ||||
\(663\) | −125.103 | + | 246.750i | −0.188692 | + | 0.372172i | ||||
\(664\) | 53.1719 | − | 44.6166i | 0.0800782 | − | 0.0671936i | ||||
\(665\) | 41.0734 | + | 23.7138i | 0.0617645 | + | 0.0356598i | ||||
\(666\) | −48.2844 | − | 442.328i | −0.0724990 | − | 0.664156i | ||||
\(667\) | 38.5598 | + | 66.7876i | 0.0578109 | + | 0.100131i | ||||
\(668\) | −182.494 | + | 501.399i | −0.273195 | + | 0.750597i | ||||
\(669\) | 33.1674 | + | 4.00497i | 0.0495776 | + | 0.00598651i | ||||
\(670\) | −94.6466 | − | 79.4179i | −0.141264 | − | 0.118534i | ||||
\(671\) | 96.3471 | + | 264.712i | 0.143587 | + | 0.394503i | ||||
\(672\) | −499.332 | + | 467.510i | −0.743053 | + | 0.695699i | ||||
\(673\) | −185.898 | − | 1054.28i | −0.276223 | − | 1.56654i | −0.735049 | − | 0.678014i | \(-0.762841\pi\) |
0.458826 | − | 0.888526i | \(-0.348270\pi\) | |||||||
\(674\) | 1346.33i | 1.99752i | ||||||||
\(675\) | −498.723 | − | 428.295i | −0.738849 | − | 0.634511i | ||||
\(676\) | −630.970 | −0.933387 | ||||||||
\(677\) | −1123.05 | + | 198.024i | −1.65886 | + | 0.292502i | −0.923048 | − | 0.384684i | \(-0.874310\pi\) |
−0.735812 | + | 0.677186i | \(0.763199\pi\) | |||||||
\(678\) | 279.438 | − | 920.597i | 0.412150 | − | 1.35781i | ||||
\(679\) | −367.164 | + | 133.637i | −0.540742 | + | 0.196814i | ||||
\(680\) | −7.22359 | + | 8.60874i | −0.0106229 | + | 0.0126599i | ||||
\(681\) | −581.458 | − | 436.335i | −0.853829 | − | 0.640727i | ||||
\(682\) | −1710.88 | − | 622.709i | −2.50862 | − | 0.913063i | ||||
\(683\) | −753.443 | + | 435.001i | −1.10314 | + | 0.636897i | −0.937043 | − | 0.349213i | \(-0.886449\pi\) |
−0.166095 | + | 0.986110i | \(0.553116\pi\) | |||||||
\(684\) | −248.420 | − | 60.8812i | −0.363187 | − | 0.0890076i | ||||
\(685\) | −78.3250 | + | 135.663i | −0.114343 | + | 0.198048i | ||||
\(686\) | 627.633 | + | 747.984i | 0.914917 | + | 1.09036i | ||||
\(687\) | 32.3330 | + | 594.157i | 0.0470640 | + | 0.864857i | ||||
\(688\) | −116.204 | + | 659.027i | −0.168901 | + | 0.957888i | ||||
\(689\) | −388.076 | − | 68.4282i | −0.563245 | − | 0.0993153i | ||||
\(690\) | 80.9289 | − | 4.40401i | 0.117288 | − | 0.00638262i | ||||
\(691\) | −7.01355 | + | 5.88507i | −0.0101499 | + | 0.00851674i | −0.647848 | − | 0.761769i | \(-0.724331\pi\) |
0.637699 | + | 0.770286i | \(0.279887\pi\) | |||||||
\(692\) | −403.552 | − | 232.991i | −0.583168 | − | 0.336692i | ||||
\(693\) | −729.766 | − | 699.094i | −1.05305 | − | 1.00879i | ||||
\(694\) | −358.290 | − | 620.577i | −0.516268 | − | 0.894203i | ||||
\(695\) | 40.7214 | − | 111.881i | 0.0585919 | − | 0.160980i | ||||
\(696\) | −32.3804 | + | 43.1500i | −0.0465236 | + | 0.0619971i | ||||
\(697\) | 78.8236 | + | 66.1409i | 0.113090 | + | 0.0948936i | ||||
\(698\) | −223.644 | − | 614.456i | −0.320407 | − | 0.880310i | ||||
\(699\) | −298.561 | − | 90.6251i | −0.427125 | − | 0.129650i | ||||
\(700\) | −71.6380 | − | 406.280i | −0.102340 | − | 0.580399i | ||||
\(701\) | − | 141.002i | − | 0.201144i | −0.994930 | − | 0.100572i | \(-0.967933\pi\) | ||
0.994930 | − | 0.100572i | \(-0.0320673\pi\) | |||||||
\(702\) | 884.878 | + | 1079.40i | 1.26051 | + | 1.53760i | ||||
\(703\) | −187.289 | −0.266414 | ||||||||
\(704\) | −447.278 | + | 78.8672i | −0.635338 | + | 0.112027i | ||||
\(705\) | −47.9541 | − | 51.2183i | −0.0680200 | − | 0.0726500i | ||||
\(706\) | 172.810 | − | 62.8979i | 0.244774 | − | 0.0890905i | ||||
\(707\) | 88.0988 | − | 104.992i | 0.124609 | − | 0.148504i | ||||
\(708\) | −61.5971 | + | 510.120i | −0.0870015 | + | 0.720508i | ||||
\(709\) | 659.284 | + | 239.960i | 0.929878 | + | 0.338448i | 0.762161 | − | 0.647387i | \(-0.224138\pi\) |
0.167717 | + | 0.985835i | \(0.446360\pi\) | |||||||
\(710\) | 153.312 | − | 88.5147i | 0.215932 | − | 0.124669i | ||||
\(711\) | 152.097 | + | 207.588i | 0.213920 | + | 0.291966i | ||||
\(712\) | 208.669 | − | 361.426i | 0.293075 | − | 0.507620i | ||||
\(713\) | 300.580 | + | 358.218i | 0.421571 | + | 0.502409i | ||||
\(714\) | 193.855 | + | 98.2850i | 0.271506 | + | 0.137654i | ||||
\(715\) | 52.5120 | − | 297.810i | 0.0734433 | − | 0.416518i | ||||
\(716\) | −428.295 | − | 75.5200i | −0.598178 | − | 0.105475i | ||||
\(717\) | 550.933 | + | 844.651i | 0.768387 | + | 1.17803i | ||||
\(718\) | −261.940 | + | 219.794i | −0.364819 | + | 0.306120i | ||||
\(719\) | −327.929 | − | 189.330i | −0.456091 | − | 0.263324i | 0.254308 | − | 0.967123i | \(-0.418152\pi\) |
−0.710399 | + | 0.703799i | \(0.751485\pi\) | |||||||
\(720\) | 61.8541 | + | 125.540i | 0.0859085 | + | 0.174361i | ||||
\(721\) | 504.014 | + | 872.977i | 0.699048 | + | 1.21079i | ||||
\(722\) | 235.212 | − | 646.239i | 0.325778 | − | 0.895068i | ||||
\(723\) | 108.715 | + | 254.695i | 0.150366 | + | 0.352275i | ||||
\(724\) | 12.1998 | + | 10.2368i | 0.0168505 | + | 0.0141393i | ||||
\(725\) | −50.2953 | − | 138.185i | −0.0693728 | − | 0.190600i | ||||
\(726\) | −426.412 | − | 1830.25i | −0.587344 | − | 2.52100i | ||||
\(727\) | 205.791 | + | 1167.10i | 0.283068 | + | 1.60536i | 0.712106 | + | 0.702072i | \(0.247742\pi\) |
−0.429037 | + | 0.903287i | \(0.641147\pi\) | |||||||
\(728\) | − | 347.636i | − | 0.477522i | ||||||
\(729\) | 142.980 | − | 714.841i | 0.196131 | − | 0.980578i | ||||
\(730\) | 242.194 | 0.331773 | ||||||||
\(731\) | 159.962 | − | 28.2057i | 0.218827 | − | 0.0385850i | ||||
\(732\) | −124.197 | + | 28.9356i | −0.169669 | + | 0.0395295i | ||||
\(733\) | 583.010 | − | 212.198i | 0.795375 | − | 0.289493i | 0.0878065 | − | 0.996138i | \(-0.472014\pi\) |
0.707569 | + | 0.706645i | \(0.249792\pi\) | |||||||
\(734\) | −680.528 | + | 811.022i | −0.927150 | + | 1.10493i | ||||
\(735\) | 31.1672 | − | 13.3035i | 0.0424043 | − | 0.0181000i | ||||
\(736\) | 462.352 | + | 168.282i | 0.628195 | + | 0.228644i | ||||
\(737\) | 959.669 | − | 554.065i | 1.30213 | − | 0.751785i | ||||
\(738\) | 465.673 | − | 229.440i | 0.630993 | − | 0.310894i | ||||
\(739\) | −359.270 | + | 622.274i | −0.486157 | + | 0.842049i | −0.999873 | − | 0.0159112i | \(-0.994935\pi\) |
0.513716 | + | 0.857960i | \(0.328268\pi\) | |||||||
\(740\) | −28.0524 | − | 33.4315i | −0.0379086 | − | 0.0451777i | ||||
\(741\) | 492.070 | − | 320.958i | 0.664062 | − | 0.433142i | ||||
\(742\) | −53.7595 | + | 304.885i | −0.0724521 | + | 0.410896i | ||||
\(743\) | −196.466 | − | 34.6423i | −0.264423 | − | 0.0466249i | 0.0398647 | − | 0.999205i | \(-0.487307\pi\) |
−0.304288 | + | 0.952580i | \(0.598418\pi\) | |||||||
\(744\) | −147.924 | + | 291.762i | −0.198823 | + | 0.392153i | ||||
\(745\) | 47.3258 | − | 39.7110i | 0.0635245 | − | 0.0533034i | ||||
\(746\) | 435.738 | + | 251.573i | 0.584099 | + | 0.337230i | ||||
\(747\) | −169.246 | + | 124.004i | −0.226568 | + | 0.166003i | ||||
\(748\) | 126.978 | + | 219.932i | 0.169756 | + | 0.294027i | ||||
\(749\) | −4.35799 | + | 11.9735i | −0.00581841 | + | 0.0159859i | ||||
\(750\) | −310.972 | − | 37.5499i | −0.414630 | − | 0.0500666i | ||||
\(751\) | −351.265 | − | 294.747i | −0.467730 | − | 0.392472i | 0.378236 | − | 0.925709i | \(-0.376531\pi\) |
−0.845966 | + | 0.533237i | \(0.820975\pi\) | |||||||
\(752\) | −190.707 | − | 523.964i | −0.253600 | − | 0.696761i | ||||
\(753\) | 354.954 | − | 332.333i | 0.471386 | − | 0.441345i | ||||
\(754\) | 54.2162 | + | 307.475i | 0.0719048 | + | 0.407792i | ||||
\(755\) | − | 156.557i | − | 0.207360i | ||||||
\(756\) | 353.796 | − | 290.039i | 0.467984 | − | 0.383649i | ||||
\(757\) | −687.585 | −0.908303 | −0.454152 | − | 0.890924i | \(-0.650058\pi\) | ||||
−0.454152 | + | 0.890924i | \(0.650058\pi\) | |||||||
\(758\) | 568.552 | − | 100.251i | 0.750069 | − | 0.132257i | ||||
\(759\) | −211.136 | + | 695.581i | −0.278177 | + | 0.916443i | ||||
\(760\) | 22.4254 | − | 8.16216i | 0.0295071 | − | 0.0107397i | ||||
\(761\) | 501.129 | − | 597.223i | 0.658514 | − | 0.784787i | −0.328657 | − | 0.944449i | \(-0.606596\pi\) |
0.987172 | + | 0.159663i | \(0.0510406\pi\) | |||||||
\(762\) | 700.602 | + | 525.743i | 0.919426 | + | 0.689951i | ||||
\(763\) | 257.420 | + | 93.6934i | 0.337379 | + | 0.122796i | ||||
\(764\) | 937.135 | − | 541.055i | 1.22662 | − | 0.708188i | ||||
\(765\) | 23.4990 | − | 24.5300i | 0.0307177 | − | 0.0320654i | ||||
\(766\) | 65.1571 | − | 112.855i | 0.0850615 | − | 0.147331i | ||||
\(767\) | −758.635 | − | 904.106i | −0.989093 | − | 1.17876i | ||||
\(768\) | 54.6535 | + | 1004.32i | 0.0711635 | + | 1.30771i | ||||
\(769\) | −211.116 | + | 1197.30i | −0.274533 | + | 1.55695i | 0.465908 | + | 0.884833i | \(0.345728\pi\) |
−0.740441 | + | 0.672122i | \(0.765383\pi\) | |||||||
\(770\) | −233.970 | − | 41.2552i | −0.303857 | − | 0.0535781i | ||||
\(771\) | −994.738 | + | 54.1319i | −1.29019 | + | 0.0702099i | ||||
\(772\) | −51.1688 | + | 42.9357i | −0.0662808 | + | 0.0556162i | ||||
\(773\) | −985.144 | − | 568.773i | −1.27444 | − | 0.735800i | −0.298622 | − | 0.954371i | \(-0.596527\pi\) |
−0.975821 | + | 0.218572i | \(0.929860\pi\) | |||||||
\(774\) | 195.060 | − | 795.926i | 0.252016 | − | 1.02833i | ||||
\(775\) | −445.834 | − | 772.207i | −0.575270 | − | 0.996397i | ||||
\(776\) | −67.2433 | + | 184.750i | −0.0866538 | + | 0.238079i | ||||
\(777\) | 201.068 | − | 267.942i | 0.258775 | − | 0.344842i | ||||
\(778\) | 1044.11 | + | 876.110i | 1.34204 | + | 1.12611i | ||||
\(779\) | −74.7347 | − | 205.332i | −0.0959367 | − | 0.263584i | ||||
\(780\) | 130.995 | + | 39.7621i | 0.167942 | + | 0.0509770i | ||||
\(781\) | 275.712 | + | 1563.64i | 0.353024 | + | 2.00210i | ||||
\(782\) | − | 156.338i | − | 0.199921i | ||||||
\(783\) | 106.243 | − | 123.713i | 0.135687 | − | 0.157999i | ||||
\(784\) | 269.306 | 0.343503 | ||||||||
\(785\) | 143.014 | − | 25.2172i | 0.182183 | − | 0.0321238i | ||||
\(786\) | −20.1078 | − | 21.4765i | −0.0255824 | − | 0.0273237i | ||||
\(787\) | 169.933 | − | 61.8505i | 0.215925 | − | 0.0785902i | −0.231793 | − | 0.972765i | \(-0.574459\pi\) |
0.447718 | + | 0.894175i | \(0.352237\pi\) | |||||||
\(788\) | −102.668 | + | 122.355i | −0.130289 | + | 0.155272i | ||||
\(789\) | 102.394 | − | 847.980i | 0.129777 | − | 1.07475i | ||||
\(790\) | 56.8505 | + | 20.6919i | 0.0719627 | + | 0.0261923i | ||||
\(791\) | 627.278 | − | 362.159i | 0.793019 | − | 0.457850i | ||||
\(792\) | −505.505 | + | 55.1808i | −0.638264 | + | 0.0696727i | ||||
\(793\) | 146.457 | − | 253.671i | 0.184687 | − | 0.319888i | ||||
\(794\) | −795.152 | − | 947.625i | −1.00145 | − | 1.19348i | ||||
\(795\) | 43.1562 | + | 21.8803i | 0.0542845 | + | 0.0275224i | ||||
\(796\) | −10.9620 | + | 62.1688i | −0.0137714 | + | 0.0781015i | ||||
\(797\) | −1158.07 | − | 204.200i | −1.45304 | − | 0.256210i | −0.609291 | − | 0.792947i | \(-0.708546\pi\) |
−0.843750 | + | 0.536736i | \(0.819657\pi\) | |||||||
\(798\) | −252.155 | − | 386.586i | −0.315984 | − | 0.484444i | ||||
\(799\) | −103.677 | + | 86.9956i | −0.129759 | + | 0.108881i | ||||
\(800\) | −812.508 | − | 469.102i | −1.01564 | − | 0.586377i | ||||
\(801\) | −701.230 | + | 1048.66i | −0.875443 | + | 1.30919i | ||||
\(802\) | −755.842 | − | 1309.16i | −0.942447 | − | 1.63237i | ||||
\(803\) | −742.942 | + | 2041.22i | −0.925209 | + | 2.54199i | ||||
\(804\) | 196.933 | + | 461.371i | 0.244941 | + | 0.573844i | ||||
\(805\) | 46.7435 | + | 39.2225i | 0.0580665 | + | 0.0487236i | ||||
\(806\) | 647.498 | + | 1778.99i | 0.803347 | + | 2.20718i | ||||
\(807\) | −83.8002 | − | 359.687i | −0.103842 | − | 0.445709i | ||||
\(808\) | −11.9756 | − | 67.9168i | −0.0148212 | − | 0.0840555i | ||||
\(809\) | − | 304.680i | − | 0.376613i | −0.982110 | − | 0.188306i | \(-0.939700\pi\) | ||
0.982110 | − | 0.188306i | \(-0.0602998\pi\) | |||||||
\(810\) | −65.4723 | − | 158.381i | −0.0808301 | − | 0.195532i | ||||
\(811\) | 483.057 | 0.595631 | 0.297816 | − | 0.954623i | \(-0.403742\pi\) | ||||
0.297816 | + | 0.954623i | \(0.403742\pi\) | |||||||
\(812\) | 100.782 | − | 17.7706i | 0.124116 | − | 0.0218849i | ||||
\(813\) | 1008.38 | − | 234.934i | 1.24033 | − | 0.288972i | ||||
\(814\) | 881.608 | − | 320.879i | 1.08306 | − | 0.394200i | ||||
\(815\) | −47.6892 | + | 56.8338i | −0.0585143 | + | 0.0697347i | ||||
\(816\) | 248.284 | − | 105.978i | 0.304270 | − | 0.129875i | ||||
\(817\) | −324.130 | − | 117.974i | −0.396732 | − | 0.144399i | ||||
\(818\) | 1314.57 | − | 758.966i | 1.60705 | − | 0.927831i | ||||
\(819\) | −69.0979 | + | 1048.54i | −0.0843686 | + | 1.28027i | ||||
\(820\) | 25.4584 | − | 44.0952i | 0.0310468 | − | 0.0537746i | ||||
\(821\) | 614.221 | + | 732.000i | 0.748138 | + | 0.891596i | 0.997036 | − | 0.0769335i | \(-0.0245129\pi\) |
−0.248898 | + | 0.968530i | \(0.580068\pi\) | |||||||
\(822\) | 1276.87 | − | 832.852i | 1.55337 | − | 1.01320i | ||||
\(823\) | −81.7368 | + | 463.552i | −0.0993157 | + | 0.563247i | 0.894024 | + | 0.448020i | \(0.147871\pi\) |
−0.993339 | + | 0.115227i | \(0.963240\pi\) | |||||||
\(824\) | 499.513 | + | 88.0777i | 0.606205 | + | 0.106890i | ||||
\(825\) | 626.802 | − | 1236.29i | 0.759760 | − | 1.49853i | ||||
\(826\) | −710.295 | + | 596.009i | −0.859922 | + | 0.721560i | ||||
\(827\) | 25.6736 | + | 14.8227i | 0.0310443 | + | 0.0179234i | 0.515442 | − | 0.856925i | \(-0.327628\pi\) |
−0.484398 | + | 0.874848i | \(0.660961\pi\) | |||||||
\(828\) | −301.155 | − | 132.639i | −0.363714 | − | 0.160192i | ||||
\(829\) | −391.655 | − | 678.367i | −0.472443 | − | 0.818296i | 0.527059 | − | 0.849828i | \(-0.323295\pi\) |
−0.999503 | + | 0.0315327i | \(0.989961\pi\) | |||||||
\(830\) | −16.8701 | + | 46.3501i | −0.0203254 | + | 0.0558435i | ||||
\(831\) | 467.557 | + | 56.4576i | 0.562644 | + | 0.0679393i | ||||
\(832\) | 361.771 | + | 303.562i | 0.434820 | + | 0.364858i | ||||
\(833\) | −22.3570 | − | 61.4252i | −0.0268391 | − | 0.0737398i | ||||
\(834\) | −845.817 | + | 791.913i | −1.01417 | + | 0.949536i | ||||
\(835\) | 26.1320 | + | 148.202i | 0.0312958 | + | 0.177487i | ||||
\(836\) | − | 539.294i | − | 0.645089i | ||||||
\(837\) | 504.163 | − | 850.614i | 0.602345 | − | 1.01626i | ||||
\(838\) | −1859.38 | −2.21883 | ||||||||
\(839\) | −138.056 | + | 24.3429i | −0.164548 | + | 0.0290142i | −0.255315 | − | 0.966858i | \(-0.582179\pi\) |
0.0907673 | + | 0.995872i | \(0.471068\pi\) | |||||||
\(840\) | −12.3982 | + | 40.8452i | −0.0147597 | + | 0.0486253i | ||||
\(841\) | −756.003 | + | 275.163i | −0.898934 | + | 0.327185i | ||||
\(842\) | −687.400 | + | 819.212i | −0.816390 | + | 0.972936i | ||||
\(843\) | −80.9091 | − | 60.7154i | −0.0959775 | − | 0.0720230i | ||||
\(844\) | 452.488 | + | 164.692i | 0.536123 | + | 0.195133i | ||||
\(845\) | −154.115 | + | 88.9781i | −0.182384 | + | 0.105300i | ||||
\(846\) | 190.839 | + | 655.603i | 0.225578 | + | 0.774944i | ||||
\(847\) | 707.423 | − | 1225.29i | 0.835210 | − | 1.44663i | ||||
\(848\) | 247.168 | + | 294.563i | 0.291472 | + | 0.347362i | ||||
\(849\) | 16.7656 | + | 308.088i | 0.0197475 | + | 0.362883i | ||||
\(850\) | −51.7661 | + | 293.580i | −0.0609013 | + | 0.345389i | ||||
\(851\) | −237.302 | − | 41.8427i | −0.278850 | − | 0.0491688i | ||||
\(852\) | −717.707 | + | 39.0563i | −0.842379 | + | 0.0458408i | ||||
\(853\) | 818.007 | − | 686.389i | 0.958977 | − | 0.804677i | −0.0218097 | − | 0.999762i | \(-0.506943\pi\) |
0.980786 | + | 0.195085i | \(0.0624983\pi\) | |||||||
\(854\) | −199.292 | − | 115.062i | −0.233364 | − | 0.134732i | ||||
\(855\) | −69.2620 | + | 20.1615i | −0.0810082 | + | 0.0235806i | ||||
\(856\) | 3.20573 | + | 5.55249i | 0.00374502 | + | 0.00648656i | ||||
\(857\) | 104.143 | − | 286.129i | 0.121520 | − | 0.333873i | −0.863986 | − | 0.503516i | \(-0.832039\pi\) |
0.985506 | + | 0.169643i | \(0.0542616\pi\) | |||||||
\(858\) | −1766.38 | + | 2353.87i | −2.05872 | + | 2.74344i | ||||
\(859\) | −397.291 | − | 333.367i | −0.462504 | − | 0.388087i | 0.381547 | − | 0.924349i | \(-0.375391\pi\) |
−0.844051 | + | 0.536262i | \(0.819836\pi\) | |||||||
\(860\) | −27.4901 | − | 75.5283i | −0.0319652 | − | 0.0878236i | ||||
\(861\) | 373.988 | + | 113.520i | 0.434365 | + | 0.131847i | ||||
\(862\) | −276.519 | − | 1568.21i | −0.320787 | − | 1.81927i | ||||
\(863\) | 1526.04i | 1.76830i | 0.467202 | + | 0.884151i | \(0.345262\pi\) | ||||
−0.467202 | + | 0.884151i | \(0.654738\pi\) | |||||||
\(864\) | 11.9011 | − | 1040.34i | 0.0137744 | − | 1.20409i | ||||
\(865\) | −131.424 | −0.151935 | ||||||||
\(866\) | −207.709 | + | 36.6248i | −0.239849 | + | 0.0422919i | ||||
\(867\) | 547.779 | + | 585.065i | 0.631809 | + | 0.674815i | ||||
\(868\) | 583.102 | − | 212.232i | 0.671776 | − | 0.244507i | ||||
\(869\) | −348.784 | + | 415.664i | −0.401362 | + | 0.478325i | ||||
\(870\) | 4.59577 | − | 38.0602i | 0.00528249 | − | 0.0437473i | ||||
\(871\) | −1082.75 | − | 394.090i | −1.24312 | − | 0.452457i | ||||
\(872\) | 119.374 | − | 68.9208i | 0.136897 | − | 0.0790377i | ||||
\(873\) | 239.542 | − | 543.879i | 0.274390 | − | 0.623000i | ||||
\(874\) | −165.998 | + | 287.517i | −0.189929 | + | 0.328967i | ||||
\(875\) | −151.584 | − | 180.651i | −0.173239 | − | 0.206458i | ||||
\(876\) | −877.063 | − | 444.673i | −1.00121 | − | 0.507618i | ||||
\(877\) | 37.8081 | − | 214.421i | 0.0431108 | − | 0.244493i | −0.955636 | − | 0.294552i | \(-0.904830\pi\) |
0.998746 | + | 0.0500585i | \(0.0159408\pi\) | |||||||
\(878\) | −102.272 | − | 18.0332i | −0.116482 | − | 0.0205390i | ||||
\(879\) | −780.744 | − | 1196.98i | −0.888218 | − | 1.36175i | ||||
\(880\) | −226.049 | + | 189.677i | −0.256873 | + | 0.215542i | ||||
\(881\) | −569.630 | − | 328.876i | −0.646572 | − | 0.373299i | 0.140570 | − | 0.990071i | \(-0.455107\pi\) |
−0.787142 | + | 0.616772i | \(0.788440\pi\) | |||||||
\(882\) | −329.073 | − | 21.6856i | −0.373099 | − | 0.0245868i | ||||
\(883\) | 262.788 | + | 455.162i | 0.297608 | + | 0.515473i | 0.975588 | − | 0.219608i | \(-0.0704777\pi\) |
−0.677980 | + | 0.735080i | \(0.737144\pi\) | |||||||
\(884\) | 90.3156 | − | 248.140i | 0.102167 | − | 0.280701i | ||||
\(885\) | 56.8910 | + | 133.283i | 0.0642836 | + | 0.150603i | ||||
\(886\) | −981.897 | − | 823.909i | −1.10824 | − | 0.929920i | ||||
\(887\) | 309.283 | + | 849.749i | 0.348685 | + | 0.958003i | 0.982785 | + | 0.184752i | \(0.0591483\pi\) |
−0.634101 | + | 0.773251i | \(0.718630\pi\) | |||||||
\(888\) | −38.2475 | − | 164.166i | −0.0430715 | − | 0.184872i | ||||
\(889\) | 114.514 | + | 649.444i | 0.128813 | + | 0.730533i | ||||
\(890\) | 296.569i | 0.333223i | ||||||||
\(891\) | 1535.68 | − | 65.9603i | 1.72355 | − | 0.0740295i | ||||
\(892\) | −31.8884 | −0.0357493 | ||||||||
\(893\) | 283.041 | − | 49.9078i | 0.316955 | − | 0.0558878i | ||||
\(894\) | −585.541 | + | 136.420i | −0.654967 | + | 0.152595i | ||||
\(895\) | −115.261 | + | 41.9516i | −0.128783 | + | 0.0468733i | ||||
\(896\) | −347.760 | + | 414.445i | −0.388125 | + | 0.462550i | ||||
\(897\) | 695.176 | − | 296.731i | 0.775001 | − | 0.330803i | ||||
\(898\) | 951.624 | + | 346.363i | 1.05972 | + | 0.385705i | ||||
\(899\) | 191.554 | − | 110.594i | 0.213075 | − | 0.123019i | ||||
\(900\) | 521.607 | + | 348.794i | 0.579564 | + | 0.387549i | ||||
\(901\) | 46.6669 | − | 80.8294i | 0.0517946 | − | 0.0897108i | ||||
\(902\) | 703.584 | + | 838.498i | 0.780026 | + | 0.929599i | ||||
\(903\) | 516.755 | − | 337.059i | 0.572265 | − | 0.373266i | ||||
\(904\) | 63.2883 | − | 358.926i | 0.0700091 | − | 0.397042i | ||||
\(905\) | 4.42338 | + | 0.779960i | 0.00488771 | + | 0.000861835i | ||||
\(906\) | −688.966 | + | 1358.90i | −0.760448 | + | 1.49989i | ||||
\(907\) | −427.504 | + | 358.719i | −0.471339 | + | 0.395500i | −0.847283 | − | 0.531142i | \(-0.821763\pi\) |
0.375944 | + | 0.926642i | \(0.377319\pi\) | |||||||
\(908\) | 600.928 | + | 346.946i | 0.661815 | + | 0.382099i | ||||
\(909\) | 22.6214 | + | 207.232i | 0.0248860 | + | 0.227978i | ||||
\(910\) | 123.518 | + | 213.940i | 0.135734 | + | 0.235099i | ||||
\(911\) | 424.323 | − | 1165.82i | 0.465777 | − | 1.27971i | −0.455302 | − | 0.890337i | \(-0.650469\pi\) |
0.921079 | − | 0.389375i | \(-0.127309\pi\) | |||||||
\(912\) | −569.139 | − | 68.7236i | −0.624056 | − | 0.0753548i | ||||
\(913\) | −338.890 | − | 284.363i | −0.371183 | − | 0.311460i | ||||
\(914\) | −433.293 | − | 1190.46i | −0.474063 | − | 1.30248i | ||||
\(915\) | −26.2548 | + | 24.5816i | −0.0286938 | + | 0.0268652i | ||||
\(916\) | −98.6258 | − | 559.335i | −0.107670 | − | 0.610627i | ||||
\(917\) | − | 22.1498i | − | 0.0241547i | ||||||
\(918\) | −311.919 | + | 109.505i | −0.339781 | + | 0.119287i | ||||
\(919\) | 796.922 | 0.867162 | 0.433581 | − | 0.901115i | \(-0.357250\pi\) | ||||
0.433581 | + | 0.901115i | \(0.357250\pi\) | |||||||
\(920\) | 30.2373 | − | 5.33164i | 0.0328666 | − | 0.00579527i | ||||
\(921\) | −29.0653 | + | 95.7544i | −0.0315584 | + | 0.103968i | ||||
\(922\) | 812.188 | − | 295.612i | 0.880898 | − | 0.320621i | ||||
\(923\) | 1061.22 | − | 1264.72i | 1.14975 | − | 1.37022i | ||||
\(924\) | 771.534 | + | 578.971i | 0.834993 | + | 0.626592i | ||||
\(925\) | 431.763 | + | 157.149i | 0.466771 | + | 0.169891i | ||||
\(926\) | 1218.16 | − | 703.303i | 1.31550 | − | 0.759506i | ||||
\(927\) | −1489.13 | − | 364.947i | −1.60640 | − | 0.393686i | ||||
\(928\) | 116.366 | − | 201.551i | 0.125394 | − | 0.217189i | ||||
\(929\) | 681.108 | + | 811.713i | 0.733163 | + | 0.873750i | 0.995839 | − | 0.0911345i | \(-0.0290493\pi\) |
−0.262676 | + | 0.964884i | \(0.584605\pi\) | |||||||
\(930\) | −12.6312 | − | 232.113i | −0.0135819 | − | 0.249584i | ||||
\(931\) | −24.1046 | + | 136.704i | −0.0258910 | + | 0.146835i | ||||
\(932\) | 293.292 | + | 51.7152i | 0.314691 | + | 0.0554884i | ||||
\(933\) | −643.395 | + | 35.0124i | −0.689598 | + | 0.0375267i | ||||
\(934\) | 348.964 | − | 292.816i | 0.373623 | − | 0.313507i | ||||
\(935\) | 62.0287 | + | 35.8123i | 0.0663409 | + | 0.0383019i | ||||
\(936\) | 381.821 | + | 365.773i | 0.407929 | + | 0.390783i | ||||
\(937\) | 322.950 | + | 559.366i | 0.344664 | + | 0.596975i | 0.985293 | − | 0.170876i | \(-0.0546596\pi\) |
−0.640629 | + | 0.767851i | \(0.721326\pi\) | |||||||
\(938\) | −309.611 | + | 850.648i | −0.330075 | + | 0.906874i | ||||
\(939\) | 550.484 | − | 733.573i | 0.586245 | − | 0.781228i | ||||
\(940\) | 51.3029 | + | 43.0483i | 0.0545776 | + | 0.0457960i | ||||
\(941\) | 164.806 | + | 452.801i | 0.175139 | + | 0.481191i | 0.995940 | − | 0.0900242i | \(-0.0286944\pi\) |
−0.820800 | + | 0.571215i | \(0.806472\pi\) | |||||||
\(942\) | −1352.32 | − | 410.483i | −1.43559 | − | 0.435757i | ||||
\(943\) | −48.8178 | − | 276.859i | −0.0517686 | − | 0.293594i | ||||
\(944\) | 1151.66i | 1.21998i | ||||||||
\(945\) | 45.5141 | − | 120.734i | 0.0481631 | − | 0.127760i | ||||
\(946\) | 1727.87 | 1.82650 | ||||||||
\(947\) | 1580.88 | − | 278.751i | 1.66935 | − | 0.294352i | 0.742519 | − | 0.669825i | \(-0.233631\pi\) |
0.926833 | + | 0.375473i | \(0.122520\pi\) | |||||||
\(948\) | −167.883 | − | 179.311i | −0.177092 | − | 0.189146i | ||||
\(949\) | 2122.47 | − | 772.518i | 2.23654 | − | 0.814033i | ||||
\(950\) | 406.922 | − | 484.950i | 0.428339 | − | 0.510474i | ||||
\(951\) | −212.807 | + | 1762.38i | −0.223772 | + | 1.85318i | ||||
\(952\) | 77.3721 | + | 28.1611i | 0.0812732 | + | 0.0295810i | ||||
\(953\) | −1484.70 | + | 857.192i | −1.55792 | + | 0.899466i | −0.560466 | + | 0.828177i | \(0.689378\pi\) |
−0.997456 | + | 0.0712890i | \(0.977289\pi\) | |||||||
\(954\) | −278.302 | − | 379.838i | −0.291721 | − | 0.398153i | ||||
\(955\) | 152.597 | − | 264.306i | 0.159788 | − | 0.276760i | ||||
\(956\) | −618.724 | − | 737.367i | −0.647201 | − | 0.771304i | ||||
\(957\) | 306.674 | + | 155.485i | 0.320454 | + | 0.162471i | ||||
\(958\) | −297.024 | + | 1684.51i | −0.310046 | + | 1.75836i | ||||
\(959\) | 1130.30 | + | 199.303i | 1.17863 | + | 0.207824i | ||||
\(960\) | −31.6797 | − | 48.5690i | −0.0329997 | − | 0.0505927i | ||||
\(961\) | 291.238 | − | 244.378i | 0.303057 | − | 0.254295i | ||||
\(962\) | −844.839 | − | 487.768i | −0.878211 | − | 0.507035i | ||||
\(963\) | −8.56554 | − | 17.3847i | −0.00889464 | − | 0.0180526i | ||||
\(964\) | −132.164 | − | 228.914i | −0.137099 | − | 0.237463i | ||||
\(965\) | −6.44328 | + | 17.7028i | −0.00667698 | + | 0.0183448i | ||||
\(966\) | −233.122 | − | 546.153i | −0.241327 | − | 0.565376i | ||||
\(967\) | −312.147 | − | 261.922i | −0.322799 | − | 0.270861i | 0.466959 | − | 0.884279i | \(-0.345350\pi\) |
−0.789758 | + | 0.613418i | \(0.789794\pi\) | |||||||
\(968\) | −243.492 | − | 668.988i | −0.251541 | − | 0.691103i | ||||
\(969\) | 31.5731 | + | 135.518i | 0.0325832 | + | 0.139854i | ||||
\(970\) | −24.2608 | − | 137.590i | −0.0250111 | − | 0.141845i | ||||
\(971\) | − | 794.804i | − | 0.818542i | −0.912413 | − | 0.409271i | \(-0.865783\pi\) | ||
0.912413 | − | 0.409271i | \(-0.134217\pi\) | |||||||
\(972\) | −53.6947 | + | 693.758i | −0.0552414 | + | 0.713742i | ||||
\(973\) | −872.337 | −0.896543 | ||||||||
\(974\) | −760.408 | + | 134.080i | −0.780706 | + | 0.137660i | ||||
\(975\) | −1403.69 | + | 327.033i | −1.43968 | + | 0.335418i | ||||
\(976\) | −268.588 | + | 97.7579i | −0.275192 | + | 0.100162i | ||||
\(977\) | 282.343 | − | 336.483i | 0.288989 | − | 0.344404i | −0.601944 | − | 0.798538i | \(-0.705607\pi\) |
0.890933 | + | 0.454134i | \(0.150051\pi\) | |||||||
\(978\) | 664.048 | − | 283.444i | 0.678985 | − | 0.289820i | ||||
\(979\) | −2499.49 | − | 909.739i | −2.55310 | − | 0.929253i | ||||
\(980\) | −28.0124 | + | 16.1729i | −0.0285840 | + | 0.0165030i | ||||
\(981\) | −373.758 | + | 184.153i | −0.380997 | + | 0.187719i | ||||
\(982\) | −833.805 | + | 1444.19i | −0.849089 | + | 1.47067i | ||||
\(983\) | 169.427 | + | 201.915i | 0.172357 | + | 0.205407i | 0.845307 | − | 0.534281i | \(-0.179418\pi\) |
−0.672950 | + | 0.739688i | \(0.734973\pi\) | |||||||
\(984\) | 164.719 | − | 107.440i | 0.167398 | − | 0.109187i | ||||
\(985\) | −7.82242 | + | 44.3631i | −0.00794154 | + | 0.0450387i | ||||
\(986\) | −72.8257 | − | 12.8411i | −0.0738597 | − | 0.0130235i | ||||
\(987\) | −232.465 | + | 458.508i | −0.235527 | + | 0.464548i | ||||
\(988\) | −429.569 | + | 360.451i | −0.434786 | + | 0.364829i | ||||
\(989\) | −384.328 | − | 221.892i | −0.388603 | − | 0.224360i | ||||
\(990\) | 291.489 | − | 213.570i | 0.294433 | − | 0.215727i | ||||
\(991\) | 152.474 | + | 264.093i | 0.153859 | + | 0.266491i | 0.932643 | − | 0.360801i | \(-0.117497\pi\) |
−0.778784 | + | 0.627292i | \(0.784163\pi\) | |||||||
\(992\) | 482.652 | − | 1326.08i | 0.486544 | − | 1.33677i | ||||
\(993\) | −1576.40 | − | 190.350i | −1.58751 | − | 0.191692i | ||||
\(994\) | −993.602 | − | 833.731i | −0.999600 | − | 0.838764i | ||||
\(995\) | 6.08943 | + | 16.7306i | 0.00612003 | + | 0.0168147i | ||||
\(996\) | 146.192 | − | 136.875i | 0.146779 | − | 0.137425i | ||||
\(997\) | 260.718 | + | 1478.61i | 0.261503 | + | 1.48305i | 0.778812 | + | 0.627257i | \(0.215822\pi\) |
−0.517310 | + | 0.855798i | \(0.673067\pi\) | |||||||
\(998\) | 1057.89i | 1.06001i | ||||||||
\(999\) | 82.7323 | + | 502.762i | 0.0828151 | + | 0.503266i |
(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 | 27.3.f.a.14.5 | yes | 30 | |
3.2 | odd | 2 | 81.3.f.a.71.1 | 30 | |||
4.3 | odd | 2 | 432.3.bc.a.257.5 | 30 | |||
9.2 | odd | 6 | 243.3.f.a.134.5 | 30 | |||
9.4 | even | 3 | 243.3.f.c.53.1 | 30 | |||
9.5 | odd | 6 | 243.3.f.b.53.5 | 30 | |||
9.7 | even | 3 | 243.3.f.d.134.1 | 30 | |||
27.2 | odd | 18 | inner | 27.3.f.a.2.5 | ✓ | 30 | |
27.5 | odd | 18 | 729.3.b.a.728.25 | 30 | |||
27.7 | even | 9 | 243.3.f.a.107.5 | 30 | |||
27.11 | odd | 18 | 243.3.f.c.188.1 | 30 | |||
27.16 | even | 9 | 243.3.f.b.188.5 | 30 | |||
27.20 | odd | 18 | 243.3.f.d.107.1 | 30 | |||
27.22 | even | 9 | 729.3.b.a.728.6 | 30 | |||
27.25 | even | 9 | 81.3.f.a.8.1 | 30 | |||
108.83 | even | 18 | 432.3.bc.a.353.5 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.2.5 | ✓ | 30 | 27.2 | odd | 18 | inner | |
27.3.f.a.14.5 | yes | 30 | 1.1 | even | 1 | trivial | |
81.3.f.a.8.1 | 30 | 27.25 | even | 9 | |||
81.3.f.a.71.1 | 30 | 3.2 | odd | 2 | |||
243.3.f.a.107.5 | 30 | 27.7 | even | 9 | |||
243.3.f.a.134.5 | 30 | 9.2 | odd | 6 | |||
243.3.f.b.53.5 | 30 | 9.5 | odd | 6 | |||
243.3.f.b.188.5 | 30 | 27.16 | even | 9 | |||
243.3.f.c.53.1 | 30 | 9.4 | even | 3 | |||
243.3.f.c.188.1 | 30 | 27.11 | odd | 18 | |||
243.3.f.d.107.1 | 30 | 27.20 | odd | 18 | |||
243.3.f.d.134.1 | 30 | 9.7 | even | 3 | |||
432.3.bc.a.257.5 | 30 | 4.3 | odd | 2 | |||
432.3.bc.a.353.5 | 30 | 108.83 | even | 18 | |||
729.3.b.a.728.6 | 30 | 27.22 | even | 9 | |||
729.3.b.a.728.25 | 30 | 27.5 | odd | 18 |