Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(43,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.w (of order \(8\), degree \(4\), 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: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 224.43 |
Dual form | 224.3.w.a.99.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99992 | − | 0.0176912i | −0.999961 | − | 0.00884560i | ||||
\(3\) | −0.954366 | − | 2.30404i | −0.318122 | − | 0.768015i | −0.999354 | − | 0.0359467i | \(-0.988555\pi\) |
0.681232 | − | 0.732068i | \(-0.261445\pi\) | |||||||
\(4\) | 3.99937 | + | 0.0707620i | 0.999844 | + | 0.0176905i | ||||
\(5\) | −0.872291 | + | 2.10590i | −0.174458 | + | 0.421179i | −0.986788 | − | 0.162020i | \(-0.948199\pi\) |
0.812329 | + | 0.583199i | \(0.198199\pi\) | |||||||
\(6\) | 1.86790 | + | 4.62479i | 0.311316 | + | 0.770799i | ||||
\(7\) | −1.87083 | + | 1.87083i | −0.267261 | + | 0.267261i | ||||
\(8\) | −7.99718 | − | 0.212272i | −0.999648 | − | 0.0265340i | ||||
\(9\) | 1.96616 | − | 1.96616i | 0.218462 | − | 0.218462i | ||||
\(10\) | 1.78177 | − | 4.19620i | 0.178177 | − | 0.419620i | ||||
\(11\) | 2.92618 | − | 7.06442i | 0.266016 | − | 0.642220i | −0.733272 | − | 0.679935i | \(-0.762008\pi\) |
0.999289 | + | 0.0377153i | \(0.0120080\pi\) | |||||||
\(12\) | −3.65383 | − | 9.28227i | −0.304486 | − | 0.773522i | ||||
\(13\) | −5.89149 | − | 14.2233i | −0.453192 | − | 1.09410i | −0.971102 | − | 0.238666i | \(-0.923290\pi\) |
0.517910 | − | 0.855435i | \(-0.326710\pi\) | |||||||
\(14\) | 3.77461 | − | 3.70841i | 0.269615 | − | 0.264887i | ||||
\(15\) | 5.68456 | 0.378971 | ||||||||
\(16\) | 15.9900 | + | 0.566008i | 0.999374 | + | 0.0353755i | ||||
\(17\) | 17.6716i | 1.03950i | 0.854317 | + | 0.519752i | \(0.173976\pi\) | ||||
−0.854317 | + | 0.519752i | \(0.826024\pi\) | |||||||
\(18\) | −3.96695 | + | 3.89738i | −0.220386 | + | 0.216521i | ||||
\(19\) | −19.0646 | + | 7.89681i | −1.00340 | + | 0.415621i | −0.823042 | − | 0.567980i | \(-0.807725\pi\) |
−0.180356 | + | 0.983601i | \(0.557725\pi\) | |||||||
\(20\) | −3.63763 | + | 8.36054i | −0.181882 | + | 0.418027i | ||||
\(21\) | 6.09593 | + | 2.52502i | 0.290282 | + | 0.120239i | ||||
\(22\) | −5.97710 | + | 14.0765i | −0.271687 | + | 0.639842i | ||||
\(23\) | −29.6806 | − | 29.6806i | −1.29046 | − | 1.29046i | −0.934501 | − | 0.355962i | \(-0.884153\pi\) |
−0.355962 | − | 0.934501i | \(-0.615847\pi\) | |||||||
\(24\) | 7.14316 | + | 18.6284i | 0.297632 | + | 0.776185i | ||||
\(25\) | 14.0038 | + | 14.0038i | 0.560150 | + | 0.560150i | ||||
\(26\) | 11.5309 | + | 28.5497i | 0.443496 | + | 1.09807i | ||||
\(27\) | −27.1429 | − | 11.2430i | −1.00529 | − | 0.416406i | ||||
\(28\) | −7.61453 | + | 7.34976i | −0.271947 | + | 0.262491i | ||||
\(29\) | −45.9685 | + | 19.0408i | −1.58512 | + | 0.656578i | −0.989214 | − | 0.146476i | \(-0.953207\pi\) |
−0.595906 | + | 0.803054i | \(0.703207\pi\) | |||||||
\(30\) | −11.3687 | − | 0.100567i | −0.378956 | − | 0.00335222i | ||||
\(31\) | − | 35.6063i | − | 1.14859i | −0.818649 | − | 0.574295i | \(-0.805276\pi\) | ||
0.818649 | − | 0.574295i | \(-0.194724\pi\) | |||||||
\(32\) | −31.9687 | − | 1.41485i | −0.999022 | − | 0.0442142i | ||||
\(33\) | −19.0694 | −0.577860 | ||||||||
\(34\) | 0.312631 | − | 35.3417i | 0.00919503 | − | 1.03946i | ||||
\(35\) | −2.30786 | − | 5.57168i | −0.0659390 | − | 0.159191i | ||||
\(36\) | 8.00253 | − | 7.72427i | 0.222293 | − | 0.214563i | ||||
\(37\) | 17.8954 | − | 43.2034i | 0.483660 | − | 1.16766i | −0.474198 | − | 0.880418i | \(-0.657262\pi\) |
0.957858 | − | 0.287241i | \(-0.0927380\pi\) | |||||||
\(38\) | 38.2674 | − | 15.4557i | 1.00704 | − | 0.406729i | ||||
\(39\) | −27.1485 | + | 27.1485i | −0.696115 | + | 0.696115i | ||||
\(40\) | 7.42289 | − | 16.6561i | 0.185572 | − | 0.416402i | ||||
\(41\) | −54.6502 | + | 54.6502i | −1.33293 | + | 1.33293i | −0.430197 | + | 0.902735i | \(0.641556\pi\) |
−0.902735 | + | 0.430197i | \(0.858444\pi\) | |||||||
\(42\) | −12.1467 | − | 5.15768i | −0.289207 | − | 0.122802i | ||||
\(43\) | −7.16417 | + | 17.2958i | −0.166609 | + | 0.402229i | −0.985028 | − | 0.172392i | \(-0.944850\pi\) |
0.818420 | + | 0.574621i | \(0.194850\pi\) | |||||||
\(44\) | 12.2028 | − | 28.0462i | 0.277336 | − | 0.637413i | ||||
\(45\) | 2.42546 | + | 5.85559i | 0.0538992 | + | 0.130124i | ||||
\(46\) | 58.8339 | + | 59.8840i | 1.27900 | + | 1.30183i | ||||
\(47\) | −26.6258 | −0.566506 | −0.283253 | − | 0.959045i | \(-0.591414\pi\) | ||||
−0.283253 | + | 0.959045i | \(0.591414\pi\) | |||||||
\(48\) | −13.9562 | − | 37.3818i | −0.290754 | − | 0.778788i | ||||
\(49\) | − | 7.00000i | − | 0.142857i | ||||||
\(50\) | −27.7587 | − | 28.2542i | −0.555174 | − | 0.565083i | ||||
\(51\) | 40.7161 | − | 16.8651i | 0.798354 | − | 0.330689i | ||||
\(52\) | −22.5558 | − | 57.3013i | −0.433765 | − | 1.10195i | ||||
\(53\) | −30.7021 | − | 12.7172i | −0.579286 | − | 0.239948i | 0.0737480 | − | 0.997277i | \(-0.476504\pi\) |
−0.653034 | + | 0.757329i | \(0.726504\pi\) | |||||||
\(54\) | 54.0849 | + | 22.9653i | 1.00157 | + | 0.425283i | ||||
\(55\) | 12.3245 | + | 12.3245i | 0.224081 | + | 0.224081i | ||||
\(56\) | 15.3585 | − | 14.5642i | 0.274259 | − | 0.260076i | ||||
\(57\) | 36.3892 | + | 36.3892i | 0.638407 | + | 0.638407i | ||||
\(58\) | 92.2702 | − | 37.2668i | 1.59087 | − | 0.642531i | ||||
\(59\) | 48.6558 | + | 20.1539i | 0.824675 | + | 0.341592i | 0.754793 | − | 0.655964i | \(-0.227738\pi\) |
0.0698826 | + | 0.997555i | \(0.477738\pi\) | |||||||
\(60\) | 22.7347 | + | 0.402251i | 0.378912 | + | 0.00670419i | ||||
\(61\) | 48.9618 | − | 20.2806i | 0.802652 | − | 0.332469i | 0.0566337 | − | 0.998395i | \(-0.481963\pi\) |
0.746018 | + | 0.665926i | \(0.231963\pi\) | |||||||
\(62\) | −0.629917 | + | 71.2097i | −0.0101600 | + | 1.14854i | ||||
\(63\) | 7.35669i | 0.116773i | ||||||||
\(64\) | 63.9099 | + | 3.39516i | 0.998592 | + | 0.0530494i | ||||
\(65\) | 35.0919 | 0.539876 | ||||||||
\(66\) | 38.1372 | + | 0.337360i | 0.577837 | + | 0.00511151i | ||||
\(67\) | −49.1172 | − | 118.579i | −0.733093 | − | 1.76984i | −0.632005 | − | 0.774964i | \(-0.717768\pi\) |
−0.101088 | − | 0.994878i | \(-0.532232\pi\) | |||||||
\(68\) | −1.25048 | + | 70.6752i | −0.0183893 | + | 1.03934i | ||||
\(69\) | −40.0593 | + | 96.7117i | −0.580569 | + | 1.40162i | ||||
\(70\) | 4.51698 | + | 11.1837i | 0.0645283 | + | 0.159768i | ||||
\(71\) | 51.1751 | − | 51.1751i | 0.720776 | − | 0.720776i | −0.247988 | − | 0.968763i | \(-0.579769\pi\) |
0.968763 | + | 0.247988i | \(0.0797692\pi\) | |||||||
\(72\) | −16.1411 | + | 15.3064i | −0.224182 | + | 0.212588i | ||||
\(73\) | −39.1147 | + | 39.1147i | −0.535818 | + | 0.535818i | −0.922298 | − | 0.386480i | \(-0.873691\pi\) |
0.386480 | + | 0.922298i | \(0.373691\pi\) | |||||||
\(74\) | −36.5538 | + | 86.0868i | −0.493970 | + | 1.16333i | ||||
\(75\) | 18.9006 | − | 45.6300i | 0.252008 | − | 0.608400i | ||||
\(76\) | −76.8052 | + | 30.2332i | −1.01059 | + | 0.397806i | ||||
\(77\) | 7.74194 | + | 18.6907i | 0.100545 | + | 0.242736i | ||||
\(78\) | 54.7752 | − | 53.8146i | 0.702246 | − | 0.689931i | ||||
\(79\) | 75.7855 | 0.959311 | 0.479655 | − | 0.877457i | \(-0.340762\pi\) | ||||
0.479655 | + | 0.877457i | \(0.340762\pi\) | |||||||
\(80\) | −15.1399 | + | 33.1795i | −0.189248 | + | 0.414744i | ||||
\(81\) | 48.2433i | 0.595597i | ||||||||
\(82\) | 110.263 | − | 108.329i | 1.34467 | − | 1.32109i | ||||
\(83\) | −8.91279 | + | 3.69180i | −0.107383 | + | 0.0444795i | −0.435728 | − | 0.900078i | \(-0.643509\pi\) |
0.328345 | + | 0.944558i | \(0.393509\pi\) | |||||||
\(84\) | 24.2012 | + | 10.5298i | 0.288110 | + | 0.125355i | ||||
\(85\) | −37.2145 | − | 15.4147i | −0.437817 | − | 0.181350i | ||||
\(86\) | 14.6338 | − | 34.4636i | 0.170160 | − | 0.400739i | ||||
\(87\) | 87.7415 | + | 87.7415i | 1.00852 | + | 1.00852i | ||||
\(88\) | −24.9008 | + | 55.8743i | −0.282963 | + | 0.634935i | ||||
\(89\) | 19.6201 | + | 19.6201i | 0.220451 | + | 0.220451i | 0.808688 | − | 0.588237i | \(-0.200178\pi\) |
−0.588237 | + | 0.808688i | \(0.700178\pi\) | |||||||
\(90\) | −4.74715 | − | 11.7536i | −0.0527461 | − | 0.130596i | ||||
\(91\) | 37.6314 | + | 15.5874i | 0.413531 | + | 0.171290i | ||||
\(92\) | −116.604 | − | 120.804i | −1.26743 | − | 1.31309i | ||||
\(93\) | −82.0384 | + | 33.9814i | −0.882133 | + | 0.365392i | ||||
\(94\) | 53.2494 | + | 0.471042i | 0.566483 | + | 0.00501108i | ||||
\(95\) | − | 47.0363i | − | 0.495119i | ||||||
\(96\) | 27.2500 | + | 75.0076i | 0.283854 | + | 0.781329i | ||||
\(97\) | 113.449 | 1.16958 | 0.584790 | − | 0.811185i | \(-0.301177\pi\) | ||||
0.584790 | + | 0.811185i | \(0.301177\pi\) | |||||||
\(98\) | −0.123838 | + | 13.9995i | −0.00126366 | + | 0.142852i | ||||
\(99\) | −8.13643 | − | 19.6431i | −0.0821862 | − | 0.198415i | ||||
\(100\) | 55.0153 | + | 56.9972i | 0.550153 | + | 0.569972i | ||||
\(101\) | 67.6028 | − | 163.208i | 0.669335 | − | 1.61592i | −0.113390 | − | 0.993551i | \(-0.536171\pi\) |
0.782725 | − | 0.622367i | \(-0.213829\pi\) | |||||||
\(102\) | −81.7273 | + | 33.0086i | −0.801248 | + | 0.323614i | ||||
\(103\) | −59.0984 | + | 59.0984i | −0.573771 | + | 0.573771i | −0.933180 | − | 0.359409i | \(-0.882978\pi\) |
0.359409 | + | 0.933180i | \(0.382978\pi\) | |||||||
\(104\) | 44.0961 | + | 114.997i | 0.424001 | + | 1.10574i | ||||
\(105\) | −10.6348 | + | 10.6348i | −0.101284 | + | 0.101284i | ||||
\(106\) | 61.1769 | + | 25.9766i | 0.577140 | + | 0.245063i | ||||
\(107\) | 44.1507 | − | 106.589i | 0.412624 | − | 0.996162i | −0.571807 | − | 0.820388i | \(-0.693757\pi\) |
0.984431 | − | 0.175773i | \(-0.0562426\pi\) | |||||||
\(108\) | −107.759 | − | 46.8856i | −0.997770 | − | 0.434125i | ||||
\(109\) | −30.3328 | − | 73.2298i | −0.278282 | − | 0.671833i | 0.721506 | − | 0.692408i | \(-0.243450\pi\) |
−0.999788 | + | 0.0205754i | \(0.993450\pi\) | |||||||
\(110\) | −24.4299 | − | 24.8660i | −0.222090 | − | 0.226054i | ||||
\(111\) | −116.621 | −1.05064 | ||||||||
\(112\) | −30.9734 | + | 28.8556i | −0.276548 | + | 0.257639i | ||||
\(113\) | 45.6347i | 0.403847i | 0.979401 | + | 0.201924i | \(0.0647192\pi\) | ||||
−0.979401 | + | 0.201924i | \(0.935281\pi\) | |||||||
\(114\) | −72.1317 | − | 73.4193i | −0.632735 | − | 0.644029i | ||||
\(115\) | 88.3945 | − | 36.6142i | 0.768648 | − | 0.318384i | ||||
\(116\) | −185.193 | + | 72.8983i | −1.59649 | + | 0.628434i | ||||
\(117\) | −39.5489 | − | 16.3817i | −0.338025 | − | 0.140014i | ||||
\(118\) | −96.9513 | − | 41.1670i | −0.821621 | − | 0.348873i | ||||
\(119\) | −33.0605 | − | 33.0605i | −0.277819 | − | 0.277819i | ||||
\(120\) | −45.4605 | − | 1.20667i | −0.378837 | − | 0.0100556i | ||||
\(121\) | 44.2164 | + | 44.2164i | 0.365425 | + | 0.365425i | ||||
\(122\) | −98.2785 | + | 39.6935i | −0.805561 | + | 0.325356i | ||||
\(123\) | 178.073 | + | 73.7602i | 1.44775 | + | 0.599676i | ||||
\(124\) | 2.51957 | − | 142.403i | 0.0203191 | − | 1.14841i | ||||
\(125\) | −94.3532 | + | 39.0824i | −0.754826 | + | 0.312659i | ||||
\(126\) | 0.130149 | − | 14.7128i | 0.00103293 | − | 0.116768i | ||||
\(127\) | − | 3.08313i | − | 0.0242766i | −0.999926 | − | 0.0121383i | \(-0.996136\pi\) | ||
0.999926 | − | 0.0121383i | \(-0.00386384\pi\) | |||||||
\(128\) | −127.755 | − | 7.92070i | −0.998084 | − | 0.0618804i | ||||
\(129\) | 46.6876 | 0.361919 | ||||||||
\(130\) | −70.1811 | − | 0.620818i | −0.539855 | − | 0.00477552i | ||||
\(131\) | −21.8182 | − | 52.6738i | −0.166551 | − | 0.402090i | 0.818464 | − | 0.574558i | \(-0.194826\pi\) |
−0.985015 | + | 0.172468i | \(0.944826\pi\) | |||||||
\(132\) | −76.2655 | − | 1.34939i | −0.577769 | − | 0.0102226i | ||||
\(133\) | 20.8930 | − | 50.4401i | 0.157090 | − | 0.379249i | ||||
\(134\) | 96.1327 | + | 238.018i | 0.717409 | + | 1.77626i | ||||
\(135\) | 47.3531 | − | 47.3531i | 0.350764 | − | 0.350764i | ||||
\(136\) | 3.75118 | − | 141.323i | 0.0275822 | − | 1.03914i | ||||
\(137\) | −55.3500 | + | 55.3500i | −0.404014 | + | 0.404014i | −0.879645 | − | 0.475631i | \(-0.842220\pi\) |
0.475631 | + | 0.879645i | \(0.342220\pi\) | |||||||
\(138\) | 81.8264 | − | 192.707i | 0.592945 | − | 1.39643i | ||||
\(139\) | −30.5863 | + | 73.8418i | −0.220045 | + | 0.531236i | −0.994896 | − | 0.100908i | \(-0.967825\pi\) |
0.774851 | + | 0.632144i | \(0.217825\pi\) | |||||||
\(140\) | −8.83575 | − | 22.4465i | −0.0631125 | − | 0.160332i | ||||
\(141\) | 25.4107 | + | 61.3469i | 0.180218 | + | 0.435085i | ||||
\(142\) | −103.251 | + | 101.441i | −0.727123 | + | 0.714372i | ||||
\(143\) | −117.719 | −0.823210 | ||||||||
\(144\) | 32.5517 | − | 30.3260i | 0.226053 | − | 0.210597i | ||||
\(145\) | − | 113.414i | − | 0.782165i | ||||||
\(146\) | 78.9183 | − | 77.5344i | 0.540537 | − | 0.531057i | ||||
\(147\) | −16.1283 | + | 6.68056i | −0.109716 | + | 0.0454460i | ||||
\(148\) | 74.6277 | − | 171.520i | 0.504241 | − | 1.15892i | ||||
\(149\) | 160.274 | + | 66.3876i | 1.07566 | + | 0.445555i | 0.848986 | − | 0.528415i | \(-0.177214\pi\) |
0.226678 | + | 0.973970i | \(0.427214\pi\) | |||||||
\(150\) | −38.6069 | + | 90.9220i | −0.257379 | + | 0.606147i | ||||
\(151\) | −31.0048 | − | 31.0048i | −0.205330 | − | 0.205330i | 0.596949 | − | 0.802279i | \(-0.296379\pi\) |
−0.802279 | + | 0.596949i | \(0.796379\pi\) | |||||||
\(152\) | 154.139 | − | 59.1053i | 1.01407 | − | 0.388851i | ||||
\(153\) | 34.7451 | + | 34.7451i | 0.227092 | + | 0.227092i | ||||
\(154\) | −15.1526 | − | 37.5169i | −0.0983936 | − | 0.243616i | ||||
\(155\) | 74.9831 | + | 31.0590i | 0.483762 | + | 0.200381i | ||||
\(156\) | −110.498 | + | 106.656i | −0.708321 | + | 0.683692i | ||||
\(157\) | −171.959 | + | 71.2278i | −1.09528 | + | 0.453680i | −0.855845 | − | 0.517232i | \(-0.826962\pi\) |
−0.239436 | + | 0.970912i | \(0.576962\pi\) | |||||||
\(158\) | −151.565 | − | 1.34074i | −0.959273 | − | 0.00848568i | ||||
\(159\) | 82.8760i | 0.521233i | ||||||||
\(160\) | 30.8655 | − | 66.0886i | 0.192910 | − | 0.413054i | ||||
\(161\) | 111.055 | 0.689781 | ||||||||
\(162\) | 0.853482 | − | 96.4829i | 0.00526841 | − | 0.595573i | ||||
\(163\) | −55.6080 | − | 134.250i | −0.341153 | − | 0.823617i | −0.997600 | − | 0.0692444i | \(-0.977941\pi\) |
0.656446 | − | 0.754373i | \(-0.272059\pi\) | |||||||
\(164\) | −222.434 | + | 214.699i | −1.35630 | + | 1.30914i | ||||
\(165\) | 16.6340 | − | 40.1581i | 0.100812 | − | 0.243383i | ||||
\(166\) | 17.8902 | − | 7.22563i | 0.107772 | − | 0.0435279i | ||||
\(167\) | −93.7705 | + | 93.7705i | −0.561500 | + | 0.561500i | −0.929733 | − | 0.368233i | \(-0.879963\pi\) |
0.368233 | + | 0.929733i | \(0.379963\pi\) | |||||||
\(168\) | −48.2143 | − | 21.4870i | −0.286990 | − | 0.127899i | ||||
\(169\) | −48.0920 | + | 48.0920i | −0.284568 | + | 0.284568i | ||||
\(170\) | 74.1533 | + | 31.4866i | 0.436196 | + | 0.185216i | ||||
\(171\) | −21.9576 | + | 53.0103i | −0.128407 | + | 0.310002i | ||||
\(172\) | −29.8761 | + | 68.6656i | −0.173698 | + | 0.399218i | ||||
\(173\) | 11.2153 | + | 27.0761i | 0.0648283 | + | 0.156509i | 0.952974 | − | 0.303054i | \(-0.0980061\pi\) |
−0.888145 | + | 0.459563i | \(0.848006\pi\) | |||||||
\(174\) | −173.924 | − | 177.028i | −0.999563 | − | 1.01740i | ||||
\(175\) | −52.3973 | −0.299413 | ||||||||
\(176\) | 50.7880 | − | 111.304i | 0.288568 | − | 0.632407i | ||||
\(177\) | − | 131.339i | − | 0.742030i | ||||||
\(178\) | −38.8917 | − | 39.5859i | −0.218492 | − | 0.222392i | ||||
\(179\) | −4.66222 | + | 1.93115i | −0.0260459 | + | 0.0107886i | −0.395668 | − | 0.918393i | \(-0.629487\pi\) |
0.369622 | + | 0.929182i | \(0.379487\pi\) | |||||||
\(180\) | 9.28598 | + | 23.5903i | 0.0515888 | + | 0.131057i | ||||
\(181\) | 111.613 | + | 46.2314i | 0.616644 | + | 0.255422i | 0.669066 | − | 0.743203i | \(-0.266694\pi\) |
−0.0524222 | + | 0.998625i | \(0.516694\pi\) | |||||||
\(182\) | −74.9840 | − | 31.8394i | −0.412000 | − | 0.174942i | ||||
\(183\) | −93.4549 | − | 93.4549i | −0.510682 | − | 0.510682i | ||||
\(184\) | 231.061 | + | 243.662i | 1.25577 | + | 1.32425i | ||||
\(185\) | 75.3718 | + | 75.3718i | 0.407415 | + | 0.407415i | ||||
\(186\) | 164.672 | − | 66.5088i | 0.885331 | − | 0.357574i | ||||
\(187\) | 124.839 | + | 51.7101i | 0.667590 | + | 0.276525i | ||||
\(188\) | −106.486 | − | 1.88409i | −0.566417 | − | 0.0100218i | ||||
\(189\) | 71.8135 | − | 29.7461i | 0.379965 | − | 0.157387i | ||||
\(190\) | −0.832129 | + | 94.0690i | −0.00437963 | + | 0.495100i | ||||
\(191\) | 252.094i | 1.31986i | 0.751326 | + | 0.659931i | \(0.229414\pi\) | ||||
−0.751326 | + | 0.659931i | \(0.770586\pi\) | |||||||
\(192\) | −53.1708 | − | 150.491i | −0.276931 | − | 0.783809i | ||||
\(193\) | 26.6322 | 0.137991 | 0.0689954 | − | 0.997617i | \(-0.478021\pi\) | ||||
0.0689954 | + | 0.997617i | \(0.478021\pi\) | |||||||
\(194\) | −226.890 | − | 2.00705i | −1.16953 | − | 0.0103456i | ||||
\(195\) | −33.4905 | − | 80.8533i | −0.171746 | − | 0.414632i | ||||
\(196\) | 0.495334 | − | 27.9956i | 0.00252721 | − | 0.142835i | ||||
\(197\) | −18.5181 | + | 44.7067i | −0.0940006 | + | 0.226938i | −0.963885 | − | 0.266317i | \(-0.914193\pi\) |
0.869885 | + | 0.493255i | \(0.164193\pi\) | |||||||
\(198\) | 15.9247 | + | 39.4286i | 0.0804279 | + | 0.199134i | ||||
\(199\) | −19.8123 | + | 19.8123i | −0.0995595 | + | 0.0995595i | −0.755132 | − | 0.655573i | \(-0.772427\pi\) |
0.655573 | + | 0.755132i | \(0.272427\pi\) | |||||||
\(200\) | −109.018 | − | 114.963i | −0.545090 | − | 0.574816i | ||||
\(201\) | −226.336 | + | 226.336i | −1.12605 | + | 1.12605i | ||||
\(202\) | −138.088 | + | 325.207i | −0.683603 | + | 1.60993i | ||||
\(203\) | 50.3771 | − | 121.621i | 0.248163 | − | 0.599119i | ||||
\(204\) | 164.032 | − | 64.5689i | 0.804079 | − | 0.316514i | ||||
\(205\) | −67.4168 | − | 162.759i | −0.328862 | − | 0.793944i | ||||
\(206\) | 119.238 | − | 117.147i | 0.578824 | − | 0.568674i | ||||
\(207\) | −116.714 | −0.563834 | ||||||||
\(208\) | −86.1543 | − | 230.765i | −0.414204 | − | 1.10945i | ||||
\(209\) | 157.788i | 0.754964i | ||||||||
\(210\) | 21.4570 | − | 21.0807i | 0.102176 | − | 0.100384i | ||||
\(211\) | 268.135 | − | 111.065i | 1.27078 | − | 0.526374i | 0.357579 | − | 0.933883i | \(-0.383602\pi\) |
0.913201 | + | 0.407509i | \(0.133602\pi\) | |||||||
\(212\) | −121.889 | − | 53.0336i | −0.574950 | − | 0.250158i | ||||
\(213\) | −166.749 | − | 69.0698i | −0.782861 | − | 0.324272i | ||||
\(214\) | −90.1837 | + | 212.389i | −0.421419 | + | 0.992473i | ||||
\(215\) | −30.1740 | − | 30.1740i | −0.140344 | − | 0.140344i | ||||
\(216\) | 214.681 | + | 95.6738i | 0.993891 | + | 0.442934i | ||||
\(217\) | 66.6132 | + | 66.6132i | 0.306973 | + | 0.306973i | ||||
\(218\) | 59.3676 | + | 146.990i | 0.272329 | + | 0.674268i | ||||
\(219\) | 127.452 | + | 52.7922i | 0.581971 | + | 0.241060i | ||||
\(220\) | 48.4180 | + | 50.1622i | 0.220082 | + | 0.228010i | ||||
\(221\) | 251.348 | − | 104.112i | 1.13732 | − | 0.471094i | ||||
\(222\) | 233.233 | + | 2.06317i | 1.05060 | + | 0.00929356i | ||||
\(223\) | 177.960i | 0.798027i | 0.916945 | + | 0.399014i | \(0.130647\pi\) | ||||
−0.916945 | + | 0.399014i | \(0.869353\pi\) | |||||||
\(224\) | 62.4549 | − | 57.1610i | 0.278817 | − | 0.255183i | ||||
\(225\) | 55.0672 | 0.244743 | ||||||||
\(226\) | 0.807333 | − | 91.2659i | 0.00357227 | − | 0.403831i | ||||
\(227\) | 47.5042 | + | 114.685i | 0.209270 | + | 0.505221i | 0.993309 | − | 0.115490i | \(-0.0368438\pi\) |
−0.784039 | + | 0.620712i | \(0.786844\pi\) | |||||||
\(228\) | 142.959 | + | 148.109i | 0.627013 | + | 0.649600i | ||||
\(229\) | −4.37726 | + | 10.5676i | −0.0191147 | + | 0.0461469i | −0.933149 | − | 0.359491i | \(-0.882950\pi\) |
0.914034 | + | 0.405638i | \(0.132950\pi\) | |||||||
\(230\) | −177.430 | + | 71.6617i | −0.771434 | + | 0.311573i | ||||
\(231\) | 35.6755 | − | 35.6755i | 0.154440 | − | 0.154440i | ||||
\(232\) | 371.660 | − | 142.515i | 1.60198 | − | 0.614287i | ||||
\(233\) | 287.263 | − | 287.263i | 1.23289 | − | 1.23289i | 0.270037 | − | 0.962850i | \(-0.412964\pi\) |
0.962850 | − | 0.270037i | \(-0.0870360\pi\) | |||||||
\(234\) | 78.8049 | + | 33.4618i | 0.336773 | + | 0.142999i | ||||
\(235\) | 23.2254 | − | 56.0711i | 0.0988315 | − | 0.238600i | ||||
\(236\) | 193.167 | + | 84.0460i | 0.818503 | + | 0.356127i | ||||
\(237\) | −72.3271 | − | 174.613i | −0.305178 | − | 0.736764i | ||||
\(238\) | 65.5335 | + | 66.7032i | 0.275351 | + | 0.280266i | ||||
\(239\) | −106.925 | −0.447386 | −0.223693 | − | 0.974660i | \(-0.571811\pi\) | ||||
−0.223693 | + | 0.974660i | \(0.571811\pi\) | |||||||
\(240\) | 90.8961 | + | 3.21751i | 0.378734 | + | 0.0134063i | ||||
\(241\) | − | 337.582i | − | 1.40075i | −0.713773 | − | 0.700377i | \(-0.753015\pi\) | ||
0.713773 | − | 0.700377i | \(-0.246985\pi\) | |||||||
\(242\) | −87.6472 | − | 89.2117i | −0.362178 | − | 0.368643i | ||||
\(243\) | −133.132 | + | 55.1450i | −0.547867 | + | 0.226934i | ||||
\(244\) | 197.251 | − | 77.6452i | 0.808408 | − | 0.318218i | ||||
\(245\) | 14.7413 | + | 6.10604i | 0.0601685 | + | 0.0249226i | ||||
\(246\) | −354.827 | − | 150.665i | −1.44238 | − | 0.612459i | ||||
\(247\) | 224.638 | + | 224.638i | 0.909464 | + | 0.909464i | ||||
\(248\) | −7.55822 | + | 284.750i | −0.0304767 | + | 1.14818i | ||||
\(249\) | 17.0121 | + | 17.0121i | 0.0683218 | + | 0.0683218i | ||||
\(250\) | 189.391 | − | 76.4925i | 0.757562 | − | 0.305970i | ||||
\(251\) | −141.617 | − | 58.6596i | −0.564211 | − | 0.233704i | 0.0823014 | − | 0.996607i | \(-0.473773\pi\) |
−0.646512 | + | 0.762904i | \(0.723773\pi\) | |||||||
\(252\) | −0.520574 | + | 29.4222i | −0.00206577 | + | 0.116755i | ||||
\(253\) | −296.527 | + | 122.826i | −1.17204 | + | 0.485477i | ||||
\(254\) | −0.0545443 | + | 6.16602i | −0.000214741 | + | 0.0242757i | ||||
\(255\) | 100.455i | 0.393942i | ||||||||
\(256\) | 255.359 | + | 18.1009i | 0.997497 | + | 0.0707067i | ||||
\(257\) | 137.099 | 0.533461 | 0.266731 | − | 0.963771i | \(-0.414057\pi\) | ||||
0.266731 | + | 0.963771i | \(0.414057\pi\) | |||||||
\(258\) | −93.3715 | − | 0.825959i | −0.361905 | − | 0.00320139i | ||||
\(259\) | 47.3468 | + | 114.305i | 0.182806 | + | 0.441334i | ||||
\(260\) | 140.346 | + | 2.48318i | 0.539791 | + | 0.00955067i | ||||
\(261\) | −52.9441 | + | 127.818i | −0.202851 | + | 0.489726i | ||||
\(262\) | 42.7028 | + | 105.729i | 0.162988 | + | 0.403547i | ||||
\(263\) | 266.190 | − | 266.190i | 1.01213 | − | 1.01213i | 0.0122044 | − | 0.999926i | \(-0.496115\pi\) |
0.999926 | − | 0.0122044i | \(-0.00388487\pi\) | |||||||
\(264\) | 152.501 | + | 4.04790i | 0.577656 | + | 0.0153329i | ||||
\(265\) | 53.5624 | − | 53.5624i | 0.202122 | − | 0.202122i | ||||
\(266\) | −42.6767 | + | 100.507i | −0.160439 | + | 0.377845i | ||||
\(267\) | 26.4809 | − | 63.9305i | 0.0991793 | − | 0.239440i | ||||
\(268\) | −188.047 | − | 477.719i | −0.701668 | − | 1.78253i | ||||
\(269\) | −142.010 | − | 342.844i | −0.527920 | − | 1.27451i | −0.932883 | − | 0.360178i | \(-0.882716\pi\) |
0.404964 | − | 0.914333i | \(-0.367284\pi\) | |||||||
\(270\) | −95.5402 | + | 93.8647i | −0.353853 | + | 0.347647i | ||||
\(271\) | −510.501 | −1.88377 | −0.941883 | − | 0.335940i | \(-0.890946\pi\) | ||||
−0.941883 | + | 0.335940i | \(0.890946\pi\) | |||||||
\(272\) | −10.0022 | + | 282.568i | −0.0367729 | + | 1.03885i | ||||
\(273\) | − | 101.580i | − | 0.372089i | ||||||
\(274\) | 111.675 | − | 109.716i | 0.407572 | − | 0.400425i | ||||
\(275\) | 139.906 | − | 57.9509i | 0.508749 | − | 0.210731i | ||||
\(276\) | −167.056 | + | 383.951i | −0.605274 | + | 1.39113i | ||||
\(277\) | 324.456 | + | 134.394i | 1.17132 | + | 0.485177i | 0.881629 | − | 0.471944i | \(-0.156447\pi\) |
0.289691 | + | 0.957120i | \(0.406447\pi\) | |||||||
\(278\) | 62.4765 | − | 147.137i | 0.224736 | − | 0.529269i | ||||
\(279\) | −70.0076 | − | 70.0076i | −0.250923 | − | 0.250923i | ||||
\(280\) | 17.2737 | + | 45.0476i | 0.0616918 | + | 0.160884i | ||||
\(281\) | −135.477 | − | 135.477i | −0.482125 | − | 0.482125i | 0.423685 | − | 0.905810i | \(-0.360736\pi\) |
−0.905810 | + | 0.423685i | \(0.860736\pi\) | |||||||
\(282\) | −49.7342 | − | 123.139i | −0.176362 | − | 0.436662i | ||||
\(283\) | 299.230 | + | 123.945i | 1.05735 | + | 0.437969i | 0.842510 | − | 0.538681i | \(-0.181077\pi\) |
0.214840 | + | 0.976649i | \(0.431077\pi\) | |||||||
\(284\) | 208.289 | − | 201.047i | 0.733414 | − | 0.707912i | ||||
\(285\) | −108.374 | + | 44.8899i | −0.380259 | + | 0.157508i | ||||
\(286\) | 235.429 | + | 2.08259i | 0.823177 | + | 0.00728178i | ||||
\(287\) | − | 204.482i | − | 0.712482i | ||||||
\(288\) | −65.6374 | + | 60.0737i | −0.227907 | + | 0.208589i | ||||
\(289\) | −23.2842 | −0.0805680 | ||||||||
\(290\) | −2.00643 | + | 226.819i | −0.00691872 | + | 0.782135i | ||||
\(291\) | −108.272 | − | 261.392i | −0.372069 | − | 0.898255i | ||||
\(292\) | −159.202 | + | 153.666i | −0.545213 | + | 0.526255i | ||||
\(293\) | 148.453 | − | 358.398i | 0.506666 | − | 1.22320i | −0.439125 | − | 0.898426i | \(-0.644711\pi\) |
0.945791 | − | 0.324775i | \(-0.105289\pi\) | |||||||
\(294\) | 32.3735 | − | 13.0753i | 0.110114 | − | 0.0444737i | ||||
\(295\) | −84.8841 | + | 84.8841i | −0.287743 | + | 0.287743i | ||||
\(296\) | −152.284 | + | 341.707i | −0.514473 | + | 1.15441i | ||||
\(297\) | −158.850 | + | 158.850i | −0.534849 | + | 0.534849i | ||||
\(298\) | −319.361 | − | 135.606i | −1.07168 | − | 0.455052i | ||||
\(299\) | −247.294 | + | 597.020i | −0.827070 | + | 1.99672i | ||||
\(300\) | 78.8193 | − | 181.154i | 0.262731 | − | 0.603847i | ||||
\(301\) | −18.9546 | − | 45.7605i | −0.0629721 | − | 0.152028i | ||||
\(302\) | 61.4587 | + | 62.5558i | 0.203506 | + | 0.207138i | ||||
\(303\) | −440.556 | −1.45398 | ||||||||
\(304\) | −309.312 | + | 115.479i | −1.01747 | + | 0.379866i | ||||
\(305\) | 120.799i | 0.396062i | ||||||||
\(306\) | −68.8728 | − | 70.1021i | −0.225074 | − | 0.229092i | ||||
\(307\) | −482.972 | + | 200.054i | −1.57320 | + | 0.651640i | −0.987318 | − | 0.158757i | \(-0.949251\pi\) |
−0.585881 | + | 0.810397i | \(0.699251\pi\) | |||||||
\(308\) | 29.6403 | + | 75.2989i | 0.0962348 | + | 0.244477i | ||||
\(309\) | 192.567 | + | 79.7638i | 0.623194 | + | 0.258135i | ||||
\(310\) | −149.411 | − | 63.4422i | −0.481971 | − | 0.204652i | ||||
\(311\) | 9.95863 | + | 9.95863i | 0.0320213 | + | 0.0320213i | 0.722936 | − | 0.690915i | \(-0.242792\pi\) |
−0.690915 | + | 0.722936i | \(0.742792\pi\) | |||||||
\(312\) | 222.874 | − | 211.349i | 0.714341 | − | 0.677400i | ||||
\(313\) | 45.2106 | + | 45.2106i | 0.144443 | + | 0.144443i | 0.775630 | − | 0.631188i | \(-0.217432\pi\) |
−0.631188 | + | 0.775630i | \(0.717432\pi\) | |||||||
\(314\) | 345.165 | − | 139.408i | 1.09925 | − | 0.443974i | ||||
\(315\) | −15.4924 | − | 6.41717i | −0.0491823 | − | 0.0203720i | ||||
\(316\) | 303.095 | + | 5.36274i | 0.959160 | + | 0.0169707i | ||||
\(317\) | 62.7896 | − | 26.0083i | 0.198075 | − | 0.0820452i | −0.281441 | − | 0.959579i | \(-0.590812\pi\) |
0.479516 | + | 0.877533i | \(0.340812\pi\) | |||||||
\(318\) | 1.46618 | − | 165.745i | 0.00461061 | − | 0.521212i | ||||
\(319\) | 380.457i | 1.19266i | ||||||||
\(320\) | −62.8979 | + | 131.626i | −0.196556 | + | 0.411331i | ||||
\(321\) | −287.722 | −0.896331 | ||||||||
\(322\) | −222.101 | − | 1.96469i | −0.689754 | − | 0.00610153i | ||||
\(323\) | −139.549 | − | 336.901i | −0.432040 | − | 1.04304i | ||||
\(324\) | −3.41380 | + | 192.943i | −0.0105364 | + | 0.595504i | ||||
\(325\) | 116.677 | − | 281.683i | 0.359006 | − | 0.866717i | ||||
\(326\) | 108.837 | + | 269.472i | 0.333855 | + | 0.826603i | ||||
\(327\) | −139.776 | + | 139.776i | −0.427450 | + | 0.427450i | ||||
\(328\) | 448.648 | − | 425.447i | 1.36783 | − | 1.29709i | ||||
\(329\) | 49.8122 | − | 49.8122i | 0.151405 | − | 0.151405i | ||||
\(330\) | −33.9772 | + | 80.0188i | −0.102961 | + | 0.242481i | ||||
\(331\) | −153.798 | + | 371.301i | −0.464647 | + | 1.12176i | 0.501822 | + | 0.864971i | \(0.332663\pi\) |
−0.966468 | + | 0.256785i | \(0.917337\pi\) | |||||||
\(332\) | −35.9068 | + | 14.1342i | −0.108153 | + | 0.0425729i | ||||
\(333\) | −49.7594 | − | 120.130i | −0.149428 | − | 0.360750i | ||||
\(334\) | 189.193 | − | 185.875i | 0.566445 | − | 0.556511i | ||||
\(335\) | 292.560 | 0.873315 | ||||||||
\(336\) | 96.0446 | + | 43.8253i | 0.285847 | + | 0.130432i | ||||
\(337\) | − | 159.527i | − | 0.473374i | −0.971586 | − | 0.236687i | \(-0.923938\pi\) | ||
0.971586 | − | 0.236687i | \(-0.0760616\pi\) | |||||||
\(338\) | 97.0311 | − | 95.3295i | 0.287074 | − | 0.282040i | ||||
\(339\) | 105.144 | − | 43.5522i | 0.310160 | − | 0.128473i | ||||
\(340\) | −147.744 | − | 64.2827i | −0.434541 | − | 0.189067i | ||||
\(341\) | −251.538 | − | 104.190i | −0.737647 | − | 0.305543i | ||||
\(342\) | 44.8513 | − | 105.628i | 0.131144 | − | 0.308854i | ||||
\(343\) | 13.0958 | + | 13.0958i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 60.9646 | − | 136.797i | 0.177223 | − | 0.397666i | ||||
\(345\) | −168.721 | − | 168.721i | −0.489048 | − | 0.489048i | ||||
\(346\) | −21.9507 | − | 54.3485i | −0.0634413 | − | 0.157077i | ||||
\(347\) | 140.470 | + | 58.1848i | 0.404814 | + | 0.167679i | 0.575794 | − | 0.817595i | \(-0.304693\pi\) |
−0.170980 | + | 0.985275i | \(0.554693\pi\) | |||||||
\(348\) | 344.702 | + | 357.120i | 0.990524 | + | 1.02621i | ||||
\(349\) | −160.272 | + | 66.3867i | −0.459231 | + | 0.190220i | −0.600292 | − | 0.799781i | \(-0.704949\pi\) |
0.141060 | + | 0.990001i | \(0.454949\pi\) | |||||||
\(350\) | 104.790 | + | 0.926971i | 0.299401 | + | 0.00264849i | ||||
\(351\) | 452.301i | 1.28861i | ||||||||
\(352\) | −103.541 | + | 221.700i | −0.294151 | + | 0.629830i | ||||
\(353\) | −640.333 | −1.81397 | −0.906987 | − | 0.421159i | \(-0.861623\pi\) | ||||
−0.906987 | + | 0.421159i | \(0.861623\pi\) | |||||||
\(354\) | −2.32355 | + | 262.668i | −0.00656370 | + | 0.742001i | ||||
\(355\) | 63.1298 | + | 152.409i | 0.177831 | + | 0.429321i | ||||
\(356\) | 77.0799 | + | 79.8567i | 0.216517 | + | 0.224316i | ||||
\(357\) | −44.6210 | + | 107.725i | −0.124989 | + | 0.301749i | ||||
\(358\) | 9.35823 | − | 3.77968i | 0.0261403 | − | 0.0105578i | ||||
\(359\) | 251.534 | − | 251.534i | 0.700653 | − | 0.700653i | −0.263898 | − | 0.964551i | \(-0.585008\pi\) |
0.964551 | + | 0.263898i | \(0.0850082\pi\) | |||||||
\(360\) | −18.1539 | − | 47.3431i | −0.0504275 | − | 0.131509i | ||||
\(361\) | 45.8330 | − | 45.8330i | 0.126961 | − | 0.126961i | ||||
\(362\) | −222.399 | − | 94.4338i | −0.614361 | − | 0.260867i | ||||
\(363\) | 59.6779 | − | 144.075i | 0.164402 | − | 0.396902i | ||||
\(364\) | 149.399 | + | 65.0028i | 0.410436 | + | 0.178579i | ||||
\(365\) | −48.2521 | − | 116.491i | −0.132198 | − | 0.319153i | ||||
\(366\) | 185.249 | + | 188.556i | 0.506145 | + | 0.515180i | ||||
\(367\) | 508.040 | 1.38431 | 0.692153 | − | 0.721751i | \(-0.256663\pi\) | ||||
0.692153 | + | 0.721751i | \(0.256663\pi\) | |||||||
\(368\) | −457.793 | − | 491.392i | −1.24400 | − | 1.33531i | ||||
\(369\) | 214.902i | 0.582390i | ||||||||
\(370\) | −149.404 | − | 152.071i | −0.403796 | − | 0.411003i | ||||
\(371\) | 81.2302 | − | 33.6467i | 0.218949 | − | 0.0906918i | ||||
\(372\) | −330.507 | + | 130.099i | −0.888459 | + | 0.349729i | ||||
\(373\) | −241.022 | − | 99.8347i | −0.646172 | − | 0.267653i | 0.0354346 | − | 0.999372i | \(-0.488718\pi\) |
−0.681607 | + | 0.731719i | \(0.738718\pi\) | |||||||
\(374\) | −248.754 | − | 105.625i | −0.665118 | − | 0.282419i | ||||
\(375\) | 180.095 | + | 180.095i | 0.480254 | + | 0.480254i | ||||
\(376\) | 212.931 | + | 5.65191i | 0.566306 | + | 0.0150317i | ||||
\(377\) | 541.646 | + | 541.646i | 1.43673 | + | 1.43673i | ||||
\(378\) | −144.148 | + | 58.2194i | −0.381343 | + | 0.154020i | ||||
\(379\) | −257.971 | − | 106.855i | −0.680662 | − | 0.281939i | 0.0154415 | − | 0.999881i | \(-0.495085\pi\) |
−0.696104 | + | 0.717941i | \(0.745085\pi\) | |||||||
\(380\) | 3.32839 | − | 188.116i | 0.00875891 | − | 0.495042i | ||||
\(381\) | −7.10367 | + | 2.94244i | −0.0186448 | + | 0.00772293i | ||||
\(382\) | 4.45984 | − | 504.167i | 0.0116750 | − | 1.31981i | ||||
\(383\) | 240.980i | 0.629191i | 0.949226 | + | 0.314595i | \(0.101869\pi\) | ||||
−0.949226 | + | 0.314595i | \(0.898131\pi\) | |||||||
\(384\) | 103.675 | + | 301.912i | 0.269987 | + | 0.786228i | ||||
\(385\) | −46.1139 | −0.119776 | ||||||||
\(386\) | −53.2624 | − | 0.471156i | −0.137985 | − | 0.00122061i | ||||
\(387\) | 19.9205 | + | 48.0922i | 0.0514740 | + | 0.124269i | ||||
\(388\) | 453.726 | + | 8.02790i | 1.16940 | + | 0.0206905i | ||||
\(389\) | 5.95873 | − | 14.3857i | 0.0153181 | − | 0.0369811i | −0.916035 | − | 0.401097i | \(-0.868629\pi\) |
0.931354 | + | 0.364116i | \(0.118629\pi\) | |||||||
\(390\) | 65.5481 | + | 162.293i | 0.168072 | + | 0.416135i | ||||
\(391\) | 524.503 | − | 524.503i | 1.34144 | − | 1.34144i | ||||
\(392\) | −1.48591 | + | 55.9803i | −0.00379058 | + | 0.142807i | ||||
\(393\) | −100.540 | + | 100.540i | −0.255827 | + | 0.255827i | ||||
\(394\) | 37.8257 | − | 89.0823i | 0.0960044 | − | 0.226097i | ||||
\(395\) | −66.1070 | + | 159.596i | −0.167360 | + | 0.404042i | ||||
\(396\) | −31.1507 | − | 79.1358i | −0.0786633 | − | 0.199838i | ||||
\(397\) | −117.665 | − | 284.070i | −0.296387 | − | 0.715540i | −0.999988 | − | 0.00494541i | \(-0.998426\pi\) |
0.703601 | − | 0.710595i | \(-0.251574\pi\) | |||||||
\(398\) | 39.9736 | − | 39.2726i | 0.100436 | − | 0.0986750i | ||||
\(399\) | −136.156 | −0.341243 | ||||||||
\(400\) | 215.994 | + | 231.846i | 0.539984 | + | 0.579615i | ||||
\(401\) | − | 774.668i | − | 1.93184i | −0.258842 | − | 0.965920i | \(-0.583341\pi\) | ||
0.258842 | − | 0.965920i | \(-0.416659\pi\) | |||||||
\(402\) | 456.659 | − | 448.651i | 1.13597 | − | 1.11605i | ||||
\(403\) | −506.439 | + | 209.774i | −1.25667 | + | 0.520531i | ||||
\(404\) | 281.918 | − | 647.945i | 0.697817 | − | 1.60382i | ||||
\(405\) | −101.595 | − | 42.0822i | −0.250853 | − | 0.103907i | ||||
\(406\) | −102.902 | + | 242.342i | −0.253453 | + | 0.596900i | ||||
\(407\) | −252.842 | − | 252.842i | −0.621232 | − | 0.621232i | ||||
\(408\) | −329.194 | + | 126.231i | −0.806847 | + | 0.309389i | ||||
\(409\) | −82.6747 | − | 82.6747i | −0.202139 | − | 0.202139i | 0.598777 | − | 0.800916i | \(-0.295654\pi\) |
−0.800916 | + | 0.598777i | \(0.795654\pi\) | |||||||
\(410\) | 131.949 | + | 326.697i | 0.321827 | + | 0.796822i | ||||
\(411\) | 180.353 | + | 74.7046i | 0.438815 | + | 0.181763i | ||||
\(412\) | −240.539 | + | 232.175i | −0.583832 | + | 0.563531i | ||||
\(413\) | −128.731 | + | 53.3222i | −0.311698 | + | 0.129109i | ||||
\(414\) | 233.418 | + | 2.06480i | 0.563812 | + | 0.00498745i | ||||
\(415\) | − | 21.9897i | − | 0.0529873i | ||||||
\(416\) | 168.219 | + | 463.037i | 0.404374 | + | 1.11307i | ||||
\(417\) | 199.325 | 0.477998 | ||||||||
\(418\) | 2.79145 | − | 315.563i | 0.00667811 | − | 0.754935i | ||||
\(419\) | −137.348 | − | 331.588i | −0.327800 | − | 0.791379i | −0.998755 | − | 0.0498812i | \(-0.984116\pi\) |
0.670955 | − | 0.741498i | \(-0.265884\pi\) | |||||||
\(420\) | −43.2853 | + | 41.7802i | −0.103060 | + | 0.0994766i | ||||
\(421\) | −193.389 | + | 466.882i | −0.459356 | + | 1.10898i | 0.509303 | + | 0.860587i | \(0.329903\pi\) |
−0.968659 | + | 0.248395i | \(0.920097\pi\) | |||||||
\(422\) | −538.213 | + | 217.378i | −1.27539 | + | 0.515113i | ||||
\(423\) | −52.3505 | + | 52.3505i | −0.123760 | + | 0.123760i | ||||
\(424\) | 242.831 | + | 108.219i | 0.572715 | + | 0.255234i | ||||
\(425\) | −247.468 | + | 247.468i | −0.582278 | + | 0.582278i | ||||
\(426\) | 332.264 | + | 141.084i | 0.779962 | + | 0.331184i | ||||
\(427\) | −53.6575 | + | 129.541i | −0.125662 | + | 0.303374i | ||||
\(428\) | 184.118 | − | 423.166i | 0.430182 | − | 0.988706i | ||||
\(429\) | 112.347 | + | 271.230i | 0.261881 | + | 0.632237i | ||||
\(430\) | 59.8118 | + | 60.8794i | 0.139097 | + | 0.141580i | ||||
\(431\) | −195.419 | −0.453408 | −0.226704 | − | 0.973964i | \(-0.572795\pi\) | ||||
−0.226704 | + | 0.973964i | \(0.572795\pi\) | |||||||
\(432\) | −427.652 | − | 195.138i | −0.989934 | − | 0.451709i | ||||
\(433\) | − | 674.686i | − | 1.55817i | −0.626920 | − | 0.779083i | \(-0.715685\pi\) | ||
0.626920 | − | 0.779083i | \(-0.284315\pi\) | |||||||
\(434\) | −132.043 | − | 134.400i | −0.304246 | − | 0.309677i | ||||
\(435\) | −261.311 | + | 108.238i | −0.600714 | + | 0.248824i | ||||
\(436\) | −116.130 | − | 295.020i | −0.266354 | − | 0.676651i | ||||
\(437\) | 800.231 | + | 331.466i | 1.83119 | + | 0.758504i | ||||
\(438\) | −253.960 | − | 107.835i | −0.579816 | − | 0.246199i | ||||
\(439\) | −107.123 | − | 107.123i | −0.244016 | − | 0.244016i | 0.574493 | − | 0.818509i | \(-0.305199\pi\) |
−0.818509 | + | 0.574493i | \(0.805199\pi\) | |||||||
\(440\) | −95.9448 | − | 101.177i | −0.218056 | − | 0.229948i | ||||
\(441\) | −13.7631 | − | 13.7631i | −0.0312089 | − | 0.0312089i | ||||
\(442\) | −504.519 | + | 203.769i | −1.14144 | + | 0.461016i | ||||
\(443\) | −321.696 | − | 133.251i | −0.726175 | − | 0.300792i | −0.0111960 | − | 0.999937i | \(-0.503564\pi\) |
−0.714979 | + | 0.699146i | \(0.753564\pi\) | |||||||
\(444\) | −466.412 | − | 8.25236i | −1.05048 | − | 0.0185864i | ||||
\(445\) | −58.4325 | + | 24.2035i | −0.131309 | + | 0.0543899i | ||||
\(446\) | 3.14833 | − | 355.906i | 0.00705903 | − | 0.797996i | ||||
\(447\) | − | 432.636i | − | 0.967867i | ||||||
\(448\) | −125.916 | + | 113.213i | −0.281063 | + | 0.252707i | ||||
\(449\) | 432.034 | 0.962214 | 0.481107 | − | 0.876662i | \(-0.340235\pi\) | ||||
0.481107 | + | 0.876662i | \(0.340235\pi\) | |||||||
\(450\) | −110.130 | − | 0.974205i | −0.244734 | − | 0.00216490i | ||||
\(451\) | 226.156 | + | 545.988i | 0.501454 | + | 1.21062i | ||||
\(452\) | −3.22920 | + | 182.510i | −0.00714426 | + | 0.403784i | ||||
\(453\) | −41.8465 | + | 101.026i | −0.0923765 | + | 0.223017i | ||||
\(454\) | −92.9758 | − | 230.202i | −0.204792 | − | 0.507053i | ||||
\(455\) | −65.6510 | + | 65.6510i | −0.144288 | + | 0.144288i | ||||
\(456\) | −283.286 | − | 298.735i | −0.621242 | − | 0.655121i | ||||
\(457\) | −3.92569 | + | 3.92569i | −0.00859014 | + | 0.00859014i | −0.711389 | − | 0.702799i | \(-0.751933\pi\) |
0.702799 | + | 0.711389i | \(0.251933\pi\) | |||||||
\(458\) | 8.94112 | − | 21.0570i | 0.0195221 | − | 0.0459760i | ||||
\(459\) | 198.681 | − | 479.658i | 0.432856 | − | 1.04501i | ||||
\(460\) | 356.113 | − | 140.179i | 0.774160 | − | 0.304737i | ||||
\(461\) | 48.5778 | + | 117.277i | 0.105375 | + | 0.254397i | 0.967769 | − | 0.251841i | \(-0.0810358\pi\) |
−0.862394 | + | 0.506238i | \(0.831036\pi\) | |||||||
\(462\) | −71.9794 | + | 70.7171i | −0.155800 | + | 0.153067i | ||||
\(463\) | −174.673 | −0.377263 | −0.188631 | − | 0.982048i | \(-0.560405\pi\) | ||||
−0.188631 | + | 0.982048i | \(0.560405\pi\) | |||||||
\(464\) | −745.813 | + | 278.443i | −1.60735 | + | 0.600093i | ||||
\(465\) | − | 202.406i | − | 0.435282i | ||||||
\(466\) | −579.585 | + | 569.421i | −1.24374 | + | 1.22193i | ||||
\(467\) | 453.641 | − | 187.904i | 0.971395 | − | 0.402365i | 0.160164 | − | 0.987090i | \(-0.448798\pi\) |
0.811231 | + | 0.584726i | \(0.198798\pi\) | |||||||
\(468\) | −157.012 | − | 68.3151i | −0.335495 | − | 0.145972i | ||||
\(469\) | 313.732 | + | 129.952i | 0.668937 | + | 0.277083i | ||||
\(470\) | −47.4410 | + | 111.727i | −0.100938 | + | 0.237717i | ||||
\(471\) | 328.224 | + | 328.224i | 0.696866 | + | 0.696866i | ||||
\(472\) | −384.831 | − | 171.503i | −0.815321 | − | 0.363353i | ||||
\(473\) | 101.221 | + | 101.221i | 0.213999 | + | 0.213999i | ||||
\(474\) | 141.560 | + | 350.492i | 0.298649 | + | 0.739435i | ||||
\(475\) | −377.561 | − | 156.391i | −0.794865 | − | 0.329244i | ||||
\(476\) | −129.882 | − | 134.561i | −0.272861 | − | 0.282690i | ||||
\(477\) | −85.3694 | + | 35.3611i | −0.178971 | + | 0.0741324i | ||||
\(478\) | 213.842 | + | 1.89164i | 0.447369 | + | 0.00395740i | ||||
\(479\) | − | 311.143i | − | 0.649568i | −0.945788 | − | 0.324784i | \(-0.894708\pi\) | ||
0.945788 | − | 0.324784i | \(-0.105292\pi\) | |||||||
\(480\) | −181.728 | − | 8.04282i | −0.378600 | − | 0.0167559i | ||||
\(481\) | −719.926 | −1.49673 | ||||||||
\(482\) | −5.97222 | + | 675.137i | −0.0123905 | + | 1.40070i | ||||
\(483\) | −105.987 | − | 255.875i | −0.219435 | − | 0.529762i | ||||
\(484\) | 173.709 | + | 179.967i | 0.358903 | + | 0.371833i | ||||
\(485\) | −98.9608 | + | 238.912i | −0.204043 | + | 0.492603i | ||||
\(486\) | 267.229 | − | 107.930i | 0.549853 | − | 0.222079i | ||||
\(487\) | 546.550 | − | 546.550i | 1.12228 | − | 1.12228i | 0.130882 | − | 0.991398i | \(-0.458219\pi\) |
0.991398 | − | 0.130882i | \(-0.0417810\pi\) | |||||||
\(488\) | −395.861 | + | 151.795i | −0.811191 | + | 0.311055i | ||||
\(489\) | −256.247 | + | 256.247i | −0.524022 | + | 0.524022i | ||||
\(490\) | −29.3734 | − | 12.4724i | −0.0599457 | − | 0.0254538i | ||||
\(491\) | −239.832 | + | 579.006i | −0.488456 | + | 1.17924i | 0.467041 | + | 0.884236i | \(0.345320\pi\) |
−0.955497 | + | 0.295002i | \(0.904680\pi\) | |||||||
\(492\) | 706.960 | + | 307.595i | 1.43691 | + | 0.625194i | ||||
\(493\) | −336.480 | − | 812.335i | −0.682515 | − | 1.64774i | ||||
\(494\) | −445.283 | − | 453.232i | −0.901383 | − | 0.917473i | ||||
\(495\) | 48.4636 | 0.0979064 | ||||||||
\(496\) | 20.1534 | − | 569.344i | 0.0406319 | − | 1.14787i | ||||
\(497\) | 191.480i | 0.385271i | ||||||||
\(498\) | −33.7220 | − | 34.3239i | −0.0677148 | − | 0.0689235i | ||||
\(499\) | −360.800 | + | 149.448i | −0.723046 | + | 0.299495i | −0.713691 | − | 0.700461i | \(-0.752978\pi\) |
−0.00935515 | + | 0.999956i | \(0.502978\pi\) | |||||||
\(500\) | −380.119 | + | 149.628i | −0.760239 | + | 0.299257i | ||||
\(501\) | 305.543 | + | 126.560i | 0.609866 | + | 0.252615i | ||||
\(502\) | 282.185 | + | 119.820i | 0.562121 | + | 0.238685i | ||||
\(503\) | 543.677 | + | 543.677i | 1.08087 | + | 1.08087i | 0.996428 | + | 0.0844411i | \(0.0269105\pi\) |
0.0844411 | + | 0.996428i | \(0.473090\pi\) | |||||||
\(504\) | 1.56162 | − | 58.8328i | 0.00309845 | − | 0.116732i | ||||
\(505\) | 284.729 | + | 284.729i | 0.563820 | + | 0.563820i | ||||
\(506\) | 595.204 | − | 240.396i | 1.17629 | − | 0.475090i | ||||
\(507\) | 156.704 | + | 64.9087i | 0.309080 | + | 0.128025i | ||||
\(508\) | 0.218169 | − | 12.3306i | 0.000429466 | − | 0.0242728i | ||||
\(509\) | 214.389 | − | 88.8028i | 0.421196 | − | 0.174465i | −0.162010 | − | 0.986789i | \(-0.551798\pi\) |
0.583207 | + | 0.812324i | \(0.301798\pi\) | |||||||
\(510\) | 1.77717 | − | 200.902i | 0.00348465 | − | 0.393926i | ||||
\(511\) | − | 146.354i | − | 0.286407i | ||||||
\(512\) | −510.378 | − | 40.7180i | −0.996833 | − | 0.0795274i | ||||
\(513\) | 606.252 | 1.18178 | ||||||||
\(514\) | −274.188 | − | 2.42545i | −0.533440 | − | 0.00471878i | ||||
\(515\) | −72.9042 | − | 176.006i | −0.141561 | − | 0.341760i | ||||
\(516\) | 186.721 | + | 3.30371i | 0.361863 | + | 0.00640254i | ||||
\(517\) | −77.9117 | + | 188.096i | −0.150700 | + | 0.363821i | ||||
\(518\) | −92.6678 | − | 229.439i | −0.178895 | − | 0.442933i | ||||
\(519\) | 51.6810 | − | 51.6810i | 0.0995781 | − | 0.0995781i | ||||
\(520\) | −280.637 | − | 7.44904i | −0.539686 | − | 0.0143251i | ||||
\(521\) | 387.436 | − | 387.436i | 0.743639 | − | 0.743639i | −0.229638 | − | 0.973276i | \(-0.573754\pi\) |
0.973276 | + | 0.229638i | \(0.0737541\pi\) | |||||||
\(522\) | 108.145 | − | 254.690i | 0.207175 | − | 0.487912i | ||||
\(523\) | 105.605 | − | 254.953i | 0.201922 | − | 0.487483i | −0.790186 | − | 0.612867i | \(-0.790016\pi\) |
0.992108 | + | 0.125384i | \(0.0400163\pi\) | |||||||
\(524\) | −83.5318 | − | 212.206i | −0.159412 | − | 0.404973i | ||||
\(525\) | 50.0062 | + | 120.726i | 0.0952499 | + | 0.229954i | ||||
\(526\) | −537.069 | + | 527.650i | −1.02104 | + | 1.00314i | ||||
\(527\) | 629.218 | 1.19396 | ||||||||
\(528\) | −304.919 | − | 10.7934i | −0.577498 | − | 0.0204421i | ||||
\(529\) | 1232.88i | 2.33059i | ||||||||
\(530\) | −108.068 | + | 106.173i | −0.203902 | + | 0.200326i | ||||
\(531\) | 135.291 | − | 56.0393i | 0.254785 | − | 0.105535i | ||||
\(532\) | 87.1281 | − | 200.251i | 0.163775 | − | 0.376411i | ||||
\(533\) | 1099.28 | + | 455.336i | 2.06244 | + | 0.854289i | ||||
\(534\) | −54.0907 | + | 127.387i | −0.101293 | + | 0.238553i | ||||
\(535\) | 185.954 | + | 185.954i | 0.347577 | + | 0.347577i | ||||
\(536\) | 367.628 | + | 958.727i | 0.685873 | + | 1.78867i | ||||
\(537\) | 8.89892 | + | 8.89892i | 0.0165716 | + | 0.0165716i | ||||
\(538\) | 277.944 | + | 688.173i | 0.516625 | + | 1.27913i | ||||
\(539\) | −49.4509 | − | 20.4832i | −0.0917457 | − | 0.0380023i | ||||
\(540\) | 192.733 | − | 186.032i | 0.356914 | − | 0.344504i | ||||
\(541\) | −747.652 | + | 309.687i | −1.38198 | + | 0.572435i | −0.945010 | − | 0.327041i | \(-0.893949\pi\) |
−0.436970 | + | 0.899476i | \(0.643949\pi\) | |||||||
\(542\) | 1020.96 | + | 9.03137i | 1.88369 | + | 0.0166630i | ||||
\(543\) | − | 301.282i | − | 0.554847i | ||||||
\(544\) | 25.0027 | − | 564.937i | 0.0459608 | − | 1.03849i | ||||
\(545\) | 180.673 | 0.331511 | ||||||||
\(546\) | −1.79708 | + | 203.153i | −0.00329135 | + | 0.372075i | ||||
\(547\) | 104.494 | + | 252.270i | 0.191031 | + | 0.461189i | 0.990155 | − | 0.139977i | \(-0.0447029\pi\) |
−0.799124 | + | 0.601166i | \(0.794703\pi\) | |||||||
\(548\) | −225.282 | + | 217.449i | −0.411098 | + | 0.396804i | ||||
\(549\) | 56.3916 | − | 136.141i | 0.102717 | − | 0.247981i | ||||
\(550\) | −280.826 | + | 113.422i | −0.510593 | + | 0.206222i | ||||
\(551\) | 726.008 | − | 726.008i | 1.31762 | − | 1.31762i | ||||
\(552\) | 340.891 | − | 764.917i | 0.617555 | − | 1.38572i | ||||
\(553\) | −141.782 | + | 141.782i | −0.256387 | + | 0.256387i | ||||
\(554\) | −646.508 | − | 274.517i | −1.16698 | − | 0.495519i | ||||
\(555\) | 101.728 | − | 245.592i | 0.183293 | − | 0.442509i | ||||
\(556\) | −127.551 | + | 293.157i | −0.229409 | + | 0.527260i | ||||
\(557\) | 217.388 | + | 524.822i | 0.390285 | + | 0.942230i | 0.989877 | + | 0.141925i | \(0.0453292\pi\) |
−0.599593 | + | 0.800305i | \(0.704671\pi\) | |||||||
\(558\) | 138.771 | + | 141.248i | 0.248694 | + | 0.253133i | ||||
\(559\) | 288.212 | 0.515585 | ||||||||
\(560\) | −33.7491 | − | 90.3973i | −0.0602663 | − | 0.161424i | ||||
\(561\) | − | 336.986i | − | 0.600687i | ||||||
\(562\) | 268.547 | + | 273.340i | 0.477841 | + | 0.486370i | ||||
\(563\) | 162.855 | − | 67.4567i | 0.289263 | − | 0.119816i | −0.233334 | − | 0.972397i | \(-0.574963\pi\) |
0.522596 | + | 0.852580i | \(0.324963\pi\) | |||||||
\(564\) | 97.2860 | + | 247.147i | 0.172493 | + | 0.438205i | ||||
\(565\) | −96.1020 | − | 39.8067i | −0.170092 | − | 0.0704544i | ||||
\(566\) | −596.244 | − | 253.174i | −1.05343 | − | 0.447304i | ||||
\(567\) | −90.2550 | − | 90.2550i | −0.159180 | − | 0.159180i | ||||
\(568\) | −420.119 | + | 398.393i | −0.739647 | + | 0.701397i | ||||
\(569\) | −427.364 | − | 427.364i | −0.751079 | − | 0.751079i | 0.223601 | − | 0.974681i | \(-0.428219\pi\) |
−0.974681 | + | 0.223601i | \(0.928219\pi\) | |||||||
\(570\) | 217.533 | − | 87.8590i | 0.381637 | − | 0.154139i | ||||
\(571\) | −256.927 | − | 106.422i | −0.449959 | − | 0.186379i | 0.146184 | − | 0.989257i | \(-0.453301\pi\) |
−0.596143 | + | 0.802878i | \(0.703301\pi\) | |||||||
\(572\) | −470.802 | − | 8.33003i | −0.823081 | − | 0.0145630i | ||||
\(573\) | 580.835 | − | 240.590i | 1.01367 | − | 0.419877i | ||||
\(574\) | −3.61754 | + | 408.949i | −0.00630233 | + | 0.712454i | ||||
\(575\) | − | 831.281i | − | 1.44571i | ||||||
\(576\) | 132.332 | − | 118.982i | 0.229744 | − | 0.206565i | ||||
\(577\) | 427.867 | 0.741538 | 0.370769 | − | 0.928725i | \(-0.379094\pi\) | ||||
0.370769 | + | 0.928725i | \(0.379094\pi\) | |||||||
\(578\) | 46.5665 | + | 0.411925i | 0.0805649 | + | 0.000712672i | ||||
\(579\) | −25.4169 | − | 61.3618i | −0.0438979 | − | 0.105979i | ||||
\(580\) | 8.02540 | − | 453.585i | 0.0138369 | − | 0.782043i | ||||
\(581\) | 9.76758 | − | 23.5810i | 0.0168117 | − | 0.0405869i | ||||
\(582\) | 211.912 | + | 524.679i | 0.364109 | + | 0.901511i | ||||
\(583\) | −179.680 | + | 179.680i | −0.308199 | + | 0.308199i | ||||
\(584\) | 321.110 | − | 304.504i | 0.549847 | − | 0.521412i | ||||
\(585\) | 68.9963 | − | 68.9963i | 0.117942 | − | 0.117942i | ||||
\(586\) | −303.235 | + | 714.141i | −0.517466 | + | 1.21867i | ||||
\(587\) | −81.6568 | + | 197.137i | −0.139109 | + | 0.335838i | −0.978046 | − | 0.208390i | \(-0.933178\pi\) |
0.838937 | + | 0.544228i | \(0.183178\pi\) | |||||||
\(588\) | −64.9759 | + | 25.5768i | −0.110503 | + | 0.0434980i | ||||
\(589\) | 281.176 | + | 678.818i | 0.477378 | + | 1.15249i | ||||
\(590\) | 171.263 | − | 168.260i | 0.290277 | − | 0.285186i | ||||
\(591\) | 120.679 | 0.204195 | ||||||||
\(592\) | 310.601 | − | 680.692i | 0.524664 | − | 1.14982i | ||||
\(593\) | − | 1058.96i | − | 1.78578i | −0.450279 | − | 0.892888i | \(-0.648676\pi\) | ||
0.450279 | − | 0.892888i | \(-0.351324\pi\) | |||||||
\(594\) | 320.498 | − | 314.878i | 0.539559 | − | 0.530097i | ||||
\(595\) | 98.4603 | − | 40.7836i | 0.165479 | − | 0.0685438i | ||||
\(596\) | 636.298 | + | 276.850i | 1.06761 | + | 0.464514i | ||||
\(597\) | 64.5567 | + | 26.7403i | 0.108135 | + | 0.0447911i | ||||
\(598\) | 505.130 | − | 1189.62i | 0.844700 | − | 1.98933i | ||||
\(599\) | −545.680 | − | 545.680i | −0.910986 | − | 0.910986i | 0.0853641 | − | 0.996350i | \(-0.472795\pi\) |
−0.996350 | + | 0.0853641i | \(0.972795\pi\) | |||||||
\(600\) | −160.837 | + | 360.899i | −0.268062 | + | 0.601499i | ||||
\(601\) | 382.967 | + | 382.967i | 0.637216 | + | 0.637216i | 0.949868 | − | 0.312652i | \(-0.101217\pi\) |
−0.312652 | + | 0.949868i | \(0.601217\pi\) | |||||||
\(602\) | 37.0982 | + | 91.8527i | 0.0616249 | + | 0.152579i | ||||
\(603\) | −329.718 | − | 136.574i | −0.546796 | − | 0.226490i | ||||
\(604\) | −121.806 | − | 126.194i | −0.201666 | − | 0.208930i | ||||
\(605\) | −131.685 | + | 54.5457i | −0.217661 | + | 0.0901581i | ||||
\(606\) | 881.077 | + | 7.79395i | 1.45392 | + | 0.0128613i | ||||
\(607\) | 1011.18i | 1.66587i | 0.553373 | + | 0.832934i | \(0.313341\pi\) | ||||
−0.553373 | + | 0.832934i | \(0.686659\pi\) | |||||||
\(608\) | 620.643 | − | 225.477i | 1.02079 | − | 0.370851i | ||||
\(609\) | −328.299 | −0.539078 | ||||||||
\(610\) | 2.13708 | − | 241.589i | 0.00350341 | − | 0.396047i | ||||
\(611\) | 156.865 | + | 378.707i | 0.256736 | + | 0.619815i | ||||
\(612\) | 136.500 | + | 141.417i | 0.223039 | + | 0.231074i | ||||
\(613\) | 207.300 | − | 500.466i | 0.338173 | − | 0.816421i | −0.659719 | − | 0.751513i | \(-0.729325\pi\) |
0.997891 | − | 0.0649081i | \(-0.0206754\pi\) | |||||||
\(614\) | 969.445 | − | 391.547i | 1.57890 | − | 0.637699i | ||||
\(615\) | −310.663 | + | 310.663i | −0.505142 | + | 0.505142i | ||||
\(616\) | −57.9462 | − | 151.116i | −0.0940685 | − | 0.245319i | ||||
\(617\) | −244.957 | + | 244.957i | −0.397013 | + | 0.397013i | −0.877178 | − | 0.480165i | \(-0.840577\pi\) |
0.480165 | + | 0.877178i | \(0.340577\pi\) | |||||||
\(618\) | −383.708 | − | 162.928i | −0.620886 | − | 0.263638i | ||||
\(619\) | −87.5943 | + | 211.471i | −0.141509 | + | 0.341634i | −0.978706 | − | 0.205269i | \(-0.934193\pi\) |
0.837196 | + | 0.546902i | \(0.184193\pi\) | |||||||
\(620\) | 297.688 | + | 129.523i | 0.480141 | + | 0.208907i | ||||
\(621\) | 471.921 | + | 1139.32i | 0.759937 | + | 1.83465i | ||||
\(622\) | −19.7403 | − | 20.0927i | −0.0317368 | − | 0.0323033i | ||||
\(623\) | −73.4119 | −0.117836 | ||||||||
\(624\) | −449.470 | + | 418.738i | −0.720305 | + | 0.671054i | ||||
\(625\) | 262.318i | 0.419709i | ||||||||
\(626\) | −89.6178 | − | 91.2174i | −0.143159 | − | 0.145715i | ||||
\(627\) | 363.549 | − | 150.587i | 0.579824 | − | 0.240171i | ||||
\(628\) | −692.769 | + | 272.698i | −1.10314 | + | 0.434233i | ||||
\(629\) | 763.471 | + | 316.240i | 1.21379 | + | 0.502767i | ||||
\(630\) | 30.8701 | + | 13.1079i | 0.0490002 | + | 0.0208062i | ||||
\(631\) | −610.068 | − | 610.068i | −0.966827 | − | 0.966827i | 0.0326398 | − | 0.999467i | \(-0.489609\pi\) |
−0.999467 | + | 0.0326398i | \(0.989609\pi\) | |||||||
\(632\) | −606.071 | − | 16.0872i | −0.958973 | − | 0.0254544i | ||||
\(633\) | −511.797 | − | 511.797i | −0.808526 | − | 0.808526i | ||||
\(634\) | −126.034 | + | 50.9038i | −0.198793 | + | 0.0802899i | ||||
\(635\) | 6.49275 | + | 2.68939i | 0.0102248 | + | 0.00423526i | ||||
\(636\) | −5.86447 | + | 331.452i | −0.00922087 | + | 0.521151i | ||||
\(637\) | −99.5632 | + | 41.2404i | −0.156300 | + | 0.0647417i | ||||
\(638\) | 6.73074 | − | 760.885i | 0.0105498 | − | 1.19261i | ||||
\(639\) | − | 201.237i | − | 0.314924i | ||||||
\(640\) | 128.119 | − | 262.129i | 0.200187 | − | 0.409577i | ||||
\(641\) | 132.131 | 0.206133 | 0.103066 | − | 0.994674i | \(-0.467135\pi\) | ||||
0.103066 | + | 0.994674i | \(0.467135\pi\) | |||||||
\(642\) | 575.422 | + | 5.09015i | 0.896296 | + | 0.00792859i | ||||
\(643\) | −125.738 | − | 303.558i | −0.195549 | − | 0.472097i | 0.795441 | − | 0.606031i | \(-0.207239\pi\) |
−0.990990 | + | 0.133934i | \(0.957239\pi\) | |||||||
\(644\) | 444.149 | + | 7.85846i | 0.689673 | + | 0.0122026i | ||||
\(645\) | −40.7252 | + | 98.3192i | −0.0631398 | + | 0.152433i | ||||
\(646\) | 273.127 | + | 676.244i | 0.422797 | + | 1.04682i | ||||
\(647\) | 533.883 | − | 533.883i | 0.825167 | − | 0.825167i | −0.161677 | − | 0.986844i | \(-0.551690\pi\) |
0.986844 | + | 0.161677i | \(0.0516902\pi\) | |||||||
\(648\) | 10.2407 | − | 385.811i | 0.0158036 | − | 0.595387i | ||||
\(649\) | 284.751 | − | 284.751i | 0.438754 | − | 0.438754i | ||||
\(650\) | −238.328 | + | 561.280i | −0.366658 | + | 0.863507i | ||||
\(651\) | 89.9064 | − | 217.053i | 0.138105 | − | 0.333415i | ||||
\(652\) | −212.897 | − | 540.849i | −0.326530 | − | 0.829523i | ||||
\(653\) | 165.465 | + | 399.468i | 0.253392 | + | 0.611743i | 0.998474 | − | 0.0552304i | \(-0.0175893\pi\) |
−0.745081 | + | 0.666974i | \(0.767589\pi\) | |||||||
\(654\) | 282.014 | − | 277.068i | 0.431214 | − | 0.423652i | ||||
\(655\) | 129.957 | 0.198408 | ||||||||
\(656\) | −904.788 | + | 842.924i | −1.37925 | + | 1.28494i | ||||
\(657\) | 153.811i | 0.234112i | ||||||||
\(658\) | −100.502 | + | 98.7394i | −0.152738 | + | 0.150060i | ||||
\(659\) | −36.9858 | + | 15.3200i | −0.0561241 | + | 0.0232474i | −0.410569 | − | 0.911830i | \(-0.634670\pi\) |
0.354445 | + | 0.935077i | \(0.384670\pi\) | |||||||
\(660\) | 69.3674 | − | 159.430i | 0.105102 | − | 0.241561i | ||||
\(661\) | −506.247 | − | 209.695i | −0.765881 | − | 0.317238i | −0.0346783 | − | 0.999399i | \(-0.511041\pi\) |
−0.731203 | + | 0.682160i | \(0.761041\pi\) | |||||||
\(662\) | 314.153 | − | 739.853i | 0.474551 | − | 1.11760i | ||||
\(663\) | −479.757 | − | 479.757i | −0.723615 | − | 0.723615i | ||||
\(664\) | 72.0609 | − | 27.6320i | 0.108525 | − | 0.0416145i | ||||
\(665\) | 87.9969 | + | 87.9969i | 0.132326 | + | 0.132326i | ||||
\(666\) | 97.3897 | + | 241.131i | 0.146231 | + | 0.362058i | ||||
\(667\) | 1929.52 | + | 799.231i | 2.89283 | + | 1.19825i | ||||
\(668\) | −381.659 | + | 368.388i | −0.571345 | + | 0.551479i | ||||
\(669\) | 410.028 | − | 169.839i | 0.612897 | − | 0.253870i | ||||
\(670\) | −585.098 | − | 5.17574i | −0.873281 | − | 0.00772499i | ||||
\(671\) | − | 405.231i | − | 0.603921i | ||||||
\(672\) | −191.306 | − | 89.3463i | −0.284682 | − | 0.132956i | ||||
\(673\) | −788.142 | −1.17109 | −0.585543 | − | 0.810641i | \(-0.699119\pi\) | ||||
−0.585543 | + | 0.810641i | \(0.699119\pi\) | |||||||
\(674\) | −2.82222 | + | 319.042i | −0.00418728 | + | 0.473355i | ||||
\(675\) | −222.659 | − | 537.547i | −0.329866 | − | 0.796366i | ||||
\(676\) | −195.741 | + | 188.935i | −0.289558 | + | 0.279489i | ||||
\(677\) | −370.936 | + | 895.518i | −0.547911 | + | 1.32277i | 0.371118 | + | 0.928586i | \(0.378974\pi\) |
−0.919029 | + | 0.394189i | \(0.871026\pi\) | |||||||
\(678\) | −211.051 | + | 85.2409i | −0.311285 | + | 0.125724i | ||||
\(679\) | −212.244 | + | 212.244i | −0.312584 | + | 0.312584i | ||||
\(680\) | 294.339 | + | 131.174i | 0.432851 | + | 0.192903i | ||||
\(681\) | 218.904 | − | 218.904i | 0.321444 | − | 0.321444i | ||||
\(682\) | 501.212 | + | 212.822i | 0.734915 | + | 0.312056i | ||||
\(683\) | −358.693 | + | 865.961i | −0.525173 | + | 1.26788i | 0.409481 | + | 0.912319i | \(0.365710\pi\) |
−0.934653 | + | 0.355560i | \(0.884290\pi\) | |||||||
\(684\) | −91.5678 | + | 210.454i | −0.133871 | + | 0.307682i | ||||
\(685\) | −68.2800 | − | 164.843i | −0.0996789 | − | 0.240646i | ||||
\(686\) | −25.9589 | − | 26.4223i | −0.0378410 | − | 0.0385164i | ||||
\(687\) | 28.5258 | 0.0415223 | ||||||||
\(688\) | −124.345 | + | 272.505i | −0.180733 | + | 0.396083i | ||||
\(689\) | 511.610i | 0.742540i | ||||||||
\(690\) | 334.445 | + | 340.414i | 0.484702 | + | 0.493354i | ||||
\(691\) | 219.087 | − | 90.7486i | 0.317057 | − | 0.131329i | −0.218479 | − | 0.975842i | \(-0.570110\pi\) |
0.535536 | + | 0.844512i | \(0.320110\pi\) | |||||||
\(692\) | 42.9382 | + | 109.081i | 0.0620494 | + | 0.157632i | ||||
\(693\) | 51.9707 | + | 21.5270i | 0.0749938 | + | 0.0310635i | ||||
\(694\) | −279.901 | − | 118.850i | −0.403315 | − | 0.171254i | ||||
\(695\) | −128.823 | − | 128.823i | −0.185357 | − | 0.185357i | ||||
\(696\) | −683.060 | − | 720.310i | −0.981408 | − | 1.03493i | ||||
\(697\) | −965.755 | − | 965.755i | −1.38559 | − | 1.38559i | ||||
\(698\) | 321.705 | − | 129.933i | 0.460896 | − | 0.186150i | ||||
\(699\) | −936.020 | − | 387.712i | −1.33908 | − | 0.554667i | ||||
\(700\) | −209.556 | − | 3.70774i | −0.299366 | − | 0.00529677i | ||||
\(701\) | −297.256 | + | 123.127i | −0.424045 | + | 0.175645i | −0.584493 | − | 0.811399i | \(-0.698706\pi\) |
0.160447 | + | 0.987044i | \(0.448706\pi\) | |||||||
\(702\) | 8.00174 | − | 904.566i | 0.0113985 | − | 1.28856i | ||||
\(703\) | 964.971i | 1.37265i | ||||||||
\(704\) | 210.996 | − | 441.551i | 0.299711 | − | 0.627203i | ||||
\(705\) | −151.356 | −0.214689 | ||||||||
\(706\) | 1280.62 | + | 11.3282i | 1.81390 | + | 0.0160457i | ||||
\(707\) | 178.860 | + | 431.807i | 0.252985 | + | 0.610760i | ||||
\(708\) | 9.29384 | − | 525.275i | 0.0131269 | − | 0.741914i | ||||
\(709\) | −284.691 | + | 687.304i | −0.401538 | + | 0.969399i | 0.585754 | + | 0.810489i | \(0.300798\pi\) |
−0.987293 | + | 0.158911i | \(0.949202\pi\) | |||||||
\(710\) | −123.558 | − | 305.923i | −0.174026 | − | 0.430877i | ||||
\(711\) | 149.006 | − | 149.006i | 0.209573 | − | 0.209573i | ||||
\(712\) | −152.741 | − | 161.071i | −0.214524 | − | 0.226223i | ||||
\(713\) | −1056.82 | + | 1056.82i | −1.48221 | + | 1.48221i | ||||
\(714\) | 91.1442 | − | 214.651i | 0.127653 | − | 0.300632i | ||||
\(715\) | 102.685 | − | 247.904i | 0.143616 | − | 0.346719i | ||||
\(716\) | −18.7826 | + | 7.39350i | −0.0262327 | + | 0.0103261i | ||||
\(717\) | 102.046 | + | 246.361i | 0.142323 | + | 0.343599i | ||||
\(718\) | −507.499 | + | 498.599i | −0.706823 | + | 0.694428i | ||||
\(719\) | −590.658 | −0.821499 | −0.410749 | − | 0.911748i | \(-0.634733\pi\) | ||||
−0.410749 | + | 0.911748i | \(0.634733\pi\) | |||||||
\(720\) | 35.4688 | + | 95.0036i | 0.0492623 | + | 0.131949i | ||||
\(721\) | − | 221.126i | − | 0.306694i | ||||||
\(722\) | −92.4732 | + | 90.8515i | −0.128079 | + | 0.125833i | ||||
\(723\) | −777.803 | + | 322.177i | −1.07580 | + | 0.445611i | ||||
\(724\) | 443.109 | + | 192.795i | 0.612029 | + | 0.266291i | ||||
\(725\) | −910.374 | − | 377.089i | −1.25569 | − | 0.520123i | ||||
\(726\) | −121.900 | + | 287.084i | −0.167906 | + | 0.395432i | ||||
\(727\) | 475.323 | + | 475.323i | 0.653814 | + | 0.653814i | 0.953909 | − | 0.300095i | \(-0.0970185\pi\) |
−0.300095 | + | 0.953909i | \(0.597019\pi\) | |||||||
\(728\) | −297.636 | − | 132.644i | −0.408841 | − | 0.182203i | ||||
\(729\) | 561.132 | + | 561.132i | 0.769728 | + | 0.769728i | ||||
\(730\) | 94.4396 | + | 233.826i | 0.129369 | + | 0.320310i | ||||
\(731\) | −305.644 | − | 126.602i | −0.418118 | − | 0.173190i | ||||
\(732\) | −367.148 | − | 380.374i | −0.501568 | − | 0.519637i | ||||
\(733\) | 420.157 | − | 174.035i | 0.573202 | − | 0.237428i | −0.0772034 | − | 0.997015i | \(-0.524599\pi\) |
0.650405 | + | 0.759587i | \(0.274599\pi\) | |||||||
\(734\) | −1016.04 | − | 8.98784i | −1.38425 | − | 0.0122450i | ||||
\(735\) | − | 39.7919i | − | 0.0541387i | ||||||
\(736\) | 906.858 | + | 990.845i | 1.23214 | + | 1.34626i | ||||
\(737\) | −981.420 | −1.33164 | ||||||||
\(738\) | 3.80187 | − | 429.787i | 0.00515159 | − | 0.582367i | ||||
\(739\) | −318.384 | − | 768.646i | −0.430830 | − | 1.04012i | −0.979020 | − | 0.203762i | \(-0.934683\pi\) |
0.548190 | − | 0.836354i | \(-0.315317\pi\) | |||||||
\(740\) | 296.107 | + | 306.774i | 0.400144 | + | 0.414559i | ||||
\(741\) | 303.188 | − | 731.961i | 0.409161 | − | 0.987802i | ||||
\(742\) | −163.049 | + | 65.8536i | −0.219743 | + | 0.0887515i | ||||
\(743\) | −723.584 | + | 723.584i | −0.973868 | + | 0.973868i | −0.999667 | − | 0.0257993i | \(-0.991787\pi\) |
0.0257993 | + | 0.999667i | \(0.491787\pi\) | |||||||
\(744\) | 663.289 | − | 254.341i | 0.891518 | − | 0.341856i | ||||
\(745\) | −279.611 | + | 279.611i | −0.375317 | + | 0.375317i | ||||
\(746\) | 480.259 | + | 203.925i | 0.643779 | + | 0.273359i | ||||
\(747\) | −10.2653 | + | 24.7826i | −0.0137420 | + | 0.0331762i | ||||
\(748\) | 495.620 | + | 215.642i | 0.662593 | + | 0.288291i | ||||
\(749\) | 116.812 | + | 282.009i | 0.155957 | + | 0.376514i | ||||
\(750\) | −356.990 | − | 363.362i | −0.475987 | − | 0.484483i | ||||
\(751\) | −906.745 | −1.20738 | −0.603691 | − | 0.797218i | \(-0.706304\pi\) | ||||
−0.603691 | + | 0.797218i | \(0.706304\pi\) | |||||||
\(752\) | −425.746 | − | 15.0704i | −0.566151 | − | 0.0200404i | ||||
\(753\) | 382.274i | 0.507668i | ||||||||
\(754\) | −1073.67 | − | 1092.83i | −1.42396 | − | 1.44938i | ||||
\(755\) | 92.3382 | − | 38.2477i | 0.122302 | − | 0.0506593i | ||||
\(756\) | 289.314 | − | 113.884i | 0.382690 | − | 0.150640i | ||||
\(757\) | −920.538 | − | 381.299i | −1.21603 | − | 0.503698i | −0.319887 | − | 0.947456i | \(-0.603645\pi\) |
−0.896147 | + | 0.443758i | \(0.853645\pi\) | |||||||
\(758\) | 514.031 | + | 218.266i | 0.678142 | + | 0.287949i | ||||
\(759\) | 565.991 | + | 565.991i | 0.745706 | + | 0.745706i | ||||
\(760\) | −9.98451 | + | 376.158i | −0.0131375 | + | 0.494945i | ||||
\(761\) | −547.968 | − | 547.968i | −0.720064 | − | 0.720064i | 0.248554 | − | 0.968618i | \(-0.420045\pi\) |
−0.968618 | + | 0.248554i | \(0.920045\pi\) | |||||||
\(762\) | 14.2588 | − | 5.75897i | 0.0187124 | − | 0.00755770i | ||||
\(763\) | 193.748 | + | 80.2529i | 0.253929 | + | 0.105181i | ||||
\(764\) | −17.8387 | + | 1008.22i | −0.0233490 | + | 1.31966i | ||||
\(765\) | −103.477 | + | 42.8617i | −0.135265 | + | 0.0560284i | ||||
\(766\) | 4.26323 | − | 481.941i | 0.00556557 | − | 0.629166i | ||||
\(767\) | − | 810.784i | − | 1.05708i | ||||||
\(768\) | −202.001 | − | 605.634i | −0.263022 | − | 0.788586i | ||||
\(769\) | −219.358 | −0.285251 | −0.142625 | − | 0.989777i | \(-0.545554\pi\) | ||||
−0.142625 | + | 0.989777i | \(0.545554\pi\) | |||||||
\(770\) | 92.2242 | + | 0.815810i | 0.119772 | + | 0.00105949i | ||||
\(771\) | −130.843 | − | 315.883i | −0.169706 | − | 0.409706i | ||||
\(772\) | 106.512 | + | 1.88455i | 0.137969 | + | 0.00244113i | ||||
\(773\) | 191.531 | − | 462.397i | 0.247776 | − | 0.598185i | −0.750238 | − | 0.661167i | \(-0.770061\pi\) |
0.998015 | + | 0.0629828i | \(0.0200613\pi\) | |||||||
\(774\) | −38.9885 | − | 96.5331i | −0.0503728 | − | 0.124720i | ||||
\(775\) | 498.622 | − | 498.622i | 0.643383 | − | 0.643383i | ||||
\(776\) | −907.275 | − | 24.0821i | −1.16917 | − | 0.0310337i | ||||
\(777\) | 218.178 | − | 218.178i | 0.280796 | − | 0.280796i | ||||
\(778\) | −12.1715 | + | 28.6648i | −0.0156446 | + | 0.0368442i | ||||
\(779\) | 610.321 | − | 1473.45i | 0.783467 | − | 1.89146i | ||||
\(780\) | −128.220 | − | 325.733i | −0.164384 | − | 0.417606i | ||||
\(781\) | −211.775 | − | 511.269i | −0.271158 | − | 0.654634i | ||||
\(782\) | −1058.24 | + | 1039.69i | −1.35325 | + | 1.32952i | ||||
\(783\) | 1461.79 | 1.86692 | ||||||||
\(784\) | 3.96205 | − | 111.930i | 0.00505364 | − | 0.142768i | ||||
\(785\) | − | 424.260i | − | 0.540458i | ||||||
\(786\) | 202.851 | − | 199.294i | 0.258080 | − | 0.253554i | ||||
\(787\) | −664.400 | + | 275.203i | −0.844218 | + | 0.349687i | −0.762515 | − | 0.646970i | \(-0.776036\pi\) |
−0.0817028 | + | 0.996657i | \(0.526036\pi\) | |||||||
\(788\) | −77.2244 | + | 177.488i | −0.0980006 | + | 0.225239i | ||||
\(789\) | −867.357 | − | 359.271i | −1.09931 | − | 0.455350i | ||||
\(790\) | 135.032 | − | 318.011i | 0.170927 | − | 0.402546i | ||||
\(791\) | −85.3747 | − | 85.3747i | −0.107933 | − | 0.107933i | ||||
\(792\) | 60.8989 | + | 158.817i | 0.0768925 | + | 0.200526i | ||||
\(793\) | −576.915 | − | 576.915i | −0.727510 | − | 0.727510i | ||||
\(794\) | 230.296 | + | 570.199i | 0.290046 | + | 0.718134i | ||||
\(795\) | −174.528 | − | 72.2920i | −0.219532 | − | 0.0909333i | ||||
\(796\) | −80.6389 | + | 77.8350i | −0.101305 | + | 0.0977827i | ||||
\(797\) | 17.9902 | − | 7.45179i | 0.0225724 | − | 0.00934980i | −0.371369 | − | 0.928485i | \(-0.621111\pi\) |
0.393941 | + | 0.919136i | \(0.371111\pi\) | |||||||
\(798\) | 272.301 | + | 2.40876i | 0.341229 | + | 0.00301850i | ||||
\(799\) | − | 470.519i | − | 0.588885i | ||||||
\(800\) | −427.869 | − | 467.495i | −0.534836 | − | 0.584369i | ||||
\(801\) | 77.1526 | 0.0963204 | ||||||||
\(802\) | −13.7048 | + | 1549.27i | −0.0170883 | + | 1.93176i | ||||
\(803\) | 161.866 | + | 390.779i | 0.201577 | + | 0.486649i | ||||
\(804\) | −921.220 | + | 889.188i | −1.14580 | + | 1.10595i | ||||
\(805\) | −96.8720 | + | 233.870i | −0.120338 | + | 0.290521i | ||||
\(806\) | 1016.55 | − | 410.572i | 1.26123 | − | 0.509395i | ||||
\(807\) | −654.397 | + | 654.397i | −0.810900 | + | 0.810900i | ||||
\(808\) | −575.277 | + | 1290.85i | −0.711976 | + | 1.59759i | ||||
\(809\) | 483.071 | − | 483.071i | 0.597121 | − | 0.597121i | −0.342424 | − | 0.939545i | \(-0.611248\pi\) |
0.939545 | + | 0.342424i | \(0.111248\pi\) | |||||||
\(810\) | 202.439 | + | 85.9585i | 0.249924 | + | 0.106122i | ||||
\(811\) | 100.811 | − | 243.380i | 0.124305 | − | 0.300099i | −0.849461 | − | 0.527652i | \(-0.823073\pi\) |
0.973766 | + | 0.227553i | \(0.0730726\pi\) | |||||||
\(812\) | 210.083 | − | 482.844i | 0.258723 | − | 0.594635i | ||||
\(813\) | 487.205 | + | 1176.22i | 0.599268 | + | 1.44676i | ||||
\(814\) | 501.190 | + | 510.136i | 0.615713 | + | 0.626703i | ||||
\(815\) | 331.222 | 0.406408 | ||||||||
\(816\) | 660.595 | − | 246.628i | 0.809553 | − | 0.302240i | ||||
\(817\) | − | 386.312i | − | 0.472842i | ||||||
\(818\) | 163.880 | + | 166.806i | 0.200343 | + | 0.203919i | ||||
\(819\) | 104.637 | − | 43.3419i | 0.127761 | − | 0.0529205i | ||||
\(820\) | −258.108 | − | 655.703i | −0.314766 | − | 0.799638i | ||||
\(821\) | −170.050 | − | 70.4370i | −0.207126 | − | 0.0857942i | 0.276709 | − | 0.960954i | \(-0.410756\pi\) |
−0.483834 | + | 0.875160i | \(0.660756\pi\) | |||||||
\(822\) | −359.370 | − | 152.594i | −0.437190 | − | 0.185638i | ||||
\(823\) | 488.555 | + | 488.555i | 0.593627 | + | 0.593627i | 0.938609 | − | 0.344982i | \(-0.112115\pi\) |
−0.344982 | + | 0.938609i | \(0.612115\pi\) | |||||||
\(824\) | 485.166 | − | 460.076i | 0.588794 | − | 0.558345i | ||||
\(825\) | −267.043 | − | 267.043i | −0.323688 | − | 0.323688i | ||||
\(826\) | 258.396 | − | 104.363i | 0.312828 | − | 0.126347i | ||||
\(827\) | −110.335 | − | 45.7022i | −0.133416 | − | 0.0552627i | 0.314977 | − | 0.949099i | \(-0.398003\pi\) |
−0.448393 | + | 0.893837i | \(0.648003\pi\) | |||||||
\(828\) | −466.781 | − | 8.25889i | −0.563746 | − | 0.00997451i | ||||
\(829\) | −708.508 | + | 293.474i | −0.854654 | + | 0.354009i | −0.766614 | − | 0.642108i | \(-0.778060\pi\) |
−0.0880393 | + | 0.996117i | \(0.528060\pi\) | |||||||
\(830\) | −0.389025 | + | 43.9777i | −0.000468704 | + | 0.0529852i | ||||
\(831\) | − | 875.821i | − | 1.05394i | ||||||
\(832\) | −328.234 | − | 929.013i | −0.394512 | − | 1.11660i | ||||
\(833\) | 123.701 | 0.148501 | ||||||||
\(834\) | −398.635 | − | 3.52630i | −0.477979 | − | 0.00422818i | ||||
\(835\) | −115.676 | − | 279.266i | −0.138534 | − | 0.334450i | ||||
\(836\) | −11.1654 | + | 631.052i | −0.0133557 | + | 0.754846i | ||||
\(837\) | −400.320 | + | 966.459i | −0.478280 | + | 1.15467i | ||||
\(838\) | 268.819 | + | 665.580i | 0.320787 | + | 0.794248i | ||||
\(839\) | −21.5320 | + | 21.5320i | −0.0256639 | + | 0.0256639i | −0.719822 | − | 0.694158i | \(-0.755777\pi\) |
0.694158 | + | 0.719822i | \(0.255777\pi\) | |||||||
\(840\) | 87.3063 | − | 82.7913i | 0.103936 | − | 0.0985611i | ||||
\(841\) | 1155.87 | − | 1155.87i | 1.37440 | − | 1.37440i | ||||
\(842\) | 395.022 | − | 930.305i | 0.469147 | − | 1.10488i | ||||
\(843\) | −182.850 | + | 441.440i | −0.216904 | + | 0.523653i | ||||
\(844\) | 1080.23 | − | 425.217i | 1.27989 | − | 0.503811i | ||||
\(845\) | −59.3266 | − | 143.227i | −0.0702090 | − | 0.169499i | ||||
\(846\) | 105.623 | − | 103.771i | 0.124850 | − | 0.122660i | ||||
\(847\) | −165.443 | −0.195328 | ||||||||
\(848\) | −483.729 | − | 220.726i | −0.570435 | − | 0.260290i | ||||
\(849\) | − | 807.728i | − | 0.951388i | ||||||
\(850\) | 499.295 | − | 490.539i | 0.587406 | − | 0.577105i | ||||
\(851\) | −1813.45 | + | 751.156i | −2.13096 | + | 0.882675i | ||||
\(852\) | −662.005 | − | 288.036i | −0.777002 | − | 0.338070i | ||||
\(853\) | −732.016 | − | 303.211i | −0.858167 | − | 0.355464i | −0.0901764 | − | 0.995926i | \(-0.528743\pi\) |
−0.767990 | + | 0.640462i | \(0.778743\pi\) | |||||||
\(854\) | 109.602 | − | 258.122i | 0.128340 | − | 0.302250i | ||||
\(855\) | −92.4809 | − | 92.4809i | −0.108165 | − | 0.108165i | ||||
\(856\) | −375.707 | + | 843.042i | −0.438911 | + | 0.984862i | ||||
\(857\) | −434.981 | − | 434.981i | −0.507562 | − | 0.507562i | 0.406215 | − | 0.913777i | \(-0.366848\pi\) |
−0.913777 | + | 0.406215i | \(0.866848\pi\) | |||||||
\(858\) | −219.887 | − | 544.426i | −0.256278 | − | 0.634529i | ||||
\(859\) | 843.274 | + | 349.295i | 0.981692 | + | 0.406630i | 0.815052 | − | 0.579388i | \(-0.196708\pi\) |
0.166640 | + | 0.986018i | \(0.446708\pi\) | |||||||
\(860\) | −118.542 | − | 122.812i | −0.137839 | − | 0.142805i | ||||
\(861\) | −471.136 | + | 195.151i | −0.547197 | + | 0.226656i | ||||
\(862\) | 390.822 | + | 3.45719i | 0.453390 | + | 0.00401066i | ||||
\(863\) | − | 1043.55i | − | 1.20922i | −0.796523 | − | 0.604608i | \(-0.793330\pi\) | ||
0.796523 | − | 0.604608i | \(-0.206670\pi\) | |||||||
\(864\) | 851.818 | + | 397.827i | 0.985900 | + | 0.460448i | ||||
\(865\) | −66.8025 | −0.0772283 | ||||||||
\(866\) | −11.9360 | + | 1349.32i | −0.0137829 | + | 1.55811i | ||||
\(867\) | 22.2216 | + | 53.6477i | 0.0256305 | + | 0.0618774i | ||||
\(868\) | 261.698 | + | 271.125i | 0.301495 | + | 0.312356i | ||||
\(869\) | 221.762 | − | 535.381i | 0.255192 | − | 0.616088i | ||||
\(870\) | 524.516 | − | 211.845i | 0.602892 | − | 0.243501i | ||||
\(871\) | −1397.22 | + | 1397.22i | −1.60415 | + | 1.60415i | ||||
\(872\) | 227.032 | + | 592.071i | 0.260358 | + | 0.678980i | ||||
\(873\) | 223.059 | − | 223.059i | 0.255509 | − | 0.255509i | ||||
\(874\) | −1594.53 | − | 677.064i | −1.82441 | − | 0.774673i | ||||
\(875\) | 103.402 | − | 249.635i | 0.118174 | − | 0.285297i | ||||
\(876\) | 505.992 | + | 220.155i | 0.577616 | + | 0.251318i | ||||
\(877\) | 66.9648 | + | 161.667i | 0.0763567 | + | 0.184341i | 0.957449 | − | 0.288604i | \(-0.0931910\pi\) |
−0.881092 | + | 0.472945i | \(0.843191\pi\) | |||||||
\(878\) | 212.343 | + | 216.133i | 0.241848 | + | 0.246165i | ||||
\(879\) | −967.443 | −1.10062 | ||||||||
\(880\) | 190.092 | + | 204.044i | 0.216014 | + | 0.231868i | ||||
\(881\) | 1271.61i | 1.44337i | 0.692220 | + | 0.721686i | \(0.256633\pi\) | ||||
−0.692220 | + | 0.721686i | \(0.743367\pi\) | |||||||
\(882\) | 27.2817 | + | 27.7686i | 0.0309316 | + | 0.0314837i | ||||
\(883\) | 1041.66 | − | 431.468i | 1.17968 | − | 0.488639i | 0.295298 | − | 0.955405i | \(-0.404581\pi\) |
0.884381 | + | 0.466767i | \(0.154581\pi\) | |||||||
\(884\) | 1012.60 | − | 398.596i | 1.14548 | − | 0.450901i | ||||
\(885\) | 276.587 | + | 114.566i | 0.312528 | + | 0.129453i | ||||
\(886\) | 641.009 | + | 272.182i | 0.723486 | + | 0.307203i | ||||
\(887\) | −330.238 | − | 330.238i | −0.372309 | − | 0.372309i | 0.496009 | − | 0.868317i | \(-0.334798\pi\) |
−0.868317 | + | 0.496009i | \(0.834798\pi\) | |||||||
\(888\) | 932.642 | + | 24.7555i | 1.05027 | + | 0.0278778i | ||||
\(889\) | 5.76801 | + | 5.76801i | 0.00648820 | + | 0.00648820i | ||||
\(890\) | 117.289 | − | 47.3714i | 0.131785 | − | 0.0532263i | ||||
\(891\) | 340.811 | + | 141.169i | 0.382504 | + | 0.158438i | ||||
\(892\) | −12.5928 | + | 711.729i | −0.0141175 | + | 0.797903i | ||||
\(893\) | 507.609 | − | 210.259i | 0.568431 | − | 0.235452i | ||||
\(894\) | −7.65385 | + | 865.239i | −0.00856136 | + | 0.967829i | ||||
\(895\) | − | 11.5027i | − | 0.0128521i | ||||||
\(896\) | 253.825 | − | 224.189i | 0.283287 | − | 0.250211i | ||||
\(897\) | 1611.57 | 1.79662 | ||||||||
\(898\) | −864.034 | − | 7.64320i | −0.962176 | − | 0.00851136i | ||||
\(899\) | 677.971 | + | 1636.77i | 0.754139 | + | 1.82065i | ||||
\(900\) | 220.234 | + | 3.89667i | 0.244705 | + | 0.00432963i | ||||
\(901\) | 224.734 | − | 542.555i | 0.249427 | − | 0.602170i | ||||
\(902\) | −442.634 | − | 1095.93i | −0.490726 | − | 1.21500i | ||||
\(903\) | −87.3445 | + | 87.3445i | −0.0967270 | + | 0.0967270i | ||||
\(904\) | 9.68698 | − | 364.949i | 0.0107157 | − | 0.403705i | ||||
\(905\) | −194.717 | + | 194.717i | −0.215157 | + | 0.215157i | ||||
\(906\) | 85.4771 | − | 201.305i | 0.0943456 | − | 0.222191i | ||||
\(907\) | −279.378 | + | 674.479i | −0.308025 | + | 0.743637i | 0.691744 | + | 0.722142i | \(0.256843\pi\) |
−0.999769 | + | 0.0214947i | \(0.993157\pi\) | |||||||
\(908\) | 181.872 | + | 462.031i | 0.200299 | + | 0.508845i | ||||
\(909\) | −187.974 | − | 453.810i | −0.206792 | − | 0.499241i | ||||
\(910\) | 132.458 | − | 130.135i | 0.145559 | − | 0.143006i | ||||
\(911\) | 148.456 | 0.162959 | 0.0814795 | − | 0.996675i | \(-0.474035\pi\) | ||||
0.0814795 | + | 0.996675i | \(0.474035\pi\) | |||||||
\(912\) | 561.266 | + | 602.459i | 0.615423 | + | 0.660591i | ||||
\(913\) | 73.7665i | 0.0807957i | ||||||||
\(914\) | 7.92053 | − | 7.78163i | 0.00866579 | − | 0.00851382i | ||||
\(915\) | 278.326 | − | 115.286i | 0.304182 | − | 0.125996i | ||||
\(916\) | −18.2541 | + | 41.9542i | −0.0199280 | + | 0.0458015i | ||||
\(917\) | 139.362 | + | 57.7255i | 0.151976 | + | 0.0629504i | ||||
\(918\) | −405.832 | + | 955.764i | −0.442083 | + | 1.04114i | ||||
\(919\) | −97.1834 | − | 97.1834i | −0.105749 | − | 0.105749i | 0.652253 | − | 0.758002i | \(-0.273824\pi\) |
−0.758002 | + | 0.652253i | \(0.773824\pi\) | |||||||
\(920\) | −714.679 | + | 274.047i | −0.776825 | + | 0.297877i | ||||
\(921\) | 921.864 | + | 921.864i | 1.00094 | + | 1.00094i | ||||
\(922\) | −95.0770 | − | 235.404i | −0.103120 | − | 0.255319i | ||||
\(923\) | −1029.38 | − | 426.382i | −1.11525 | − | 0.461952i | ||||
\(924\) | 145.204 | − | 140.155i | 0.157147 | − | 0.151683i | ||||
\(925\) | 855.613 | − | 354.407i | 0.924987 | − | 0.383142i | ||||
\(926\) | 349.332 | + | 3.09017i | 0.377248 | + | 0.00333711i | ||||
\(927\) | 232.394i | 0.250694i | ||||||||
\(928\) | 1496.49 | − | 543.670i | 1.61260 | − | 0.585851i | ||||
\(929\) | 1663.78 | 1.79093 | 0.895466 | − | 0.445129i | \(-0.146842\pi\) | ||||
0.895466 | + | 0.445129i | \(0.146842\pi\) | |||||||
\(930\) | −3.58081 | + | 404.796i | −0.00385033 | + | 0.435265i | ||||
\(931\) | 55.2776 | + | 133.452i | 0.0593745 | + | 0.143343i | ||||
\(932\) | 1169.20 | − | 1128.54i | 1.25450 | − | 1.21088i | ||||
\(933\) | 13.4409 | − | 32.4493i | 0.0144061 | − | 0.0347795i | ||||
\(934\) | −910.572 | + | 367.769i | −0.974916 | + | 0.393757i | ||||
\(935\) | −217.792 | + | 217.792i | −0.232933 | + | 0.232933i | ||||
\(936\) | 312.802 | + | 139.402i | 0.334191 | + | 0.148934i | ||||
\(937\) | −681.088 | + | 681.088i | −0.726882 | + | 0.726882i | −0.969997 | − | 0.243115i | \(-0.921831\pi\) |
0.243115 | + | 0.969997i | \(0.421831\pi\) | |||||||
\(938\) | −625.140 | − | 265.444i | −0.666460 | − | 0.282989i | ||||
\(939\) | 61.0197 | − | 147.315i | 0.0649837 | − | 0.156885i | ||||
\(940\) | 96.8548 | − | 222.606i | 0.103037 | − | 0.236815i | ||||
\(941\) | −379.545 | − | 916.304i | −0.403343 | − | 0.973755i | −0.986849 | − | 0.161646i | \(-0.948320\pi\) |
0.583506 | − | 0.812109i | \(-0.301680\pi\) | |||||||
\(942\) | −650.616 | − | 662.229i | −0.690675 | − | 0.703003i | ||||
\(943\) | 3244.10 | 3.44020 | ||||||||
\(944\) | 766.599 | + | 349.800i | 0.812075 | + | 0.370551i | ||||
\(945\) | 177.179i | 0.187491i | ||||||||
\(946\) | −200.644 | − | 204.226i | −0.212097 | − | 0.215883i | ||||
\(947\) | −76.1783 | + | 31.5541i | −0.0804417 | + | 0.0333200i | −0.422541 | − | 0.906344i | \(-0.638862\pi\) |
0.342100 | + | 0.939664i | \(0.388862\pi\) | |||||||
\(948\) | −276.907 | − | 703.461i | −0.292096 | − | 0.742048i | ||||
\(949\) | 786.785 | + | 325.897i | 0.829067 | + | 0.343411i | ||||
\(950\) | 752.325 | + | 319.449i | 0.791921 | + | 0.336262i | ||||
\(951\) | −119.849 | − | 119.849i | −0.126024 | − | 0.126024i | ||||
\(952\) | 257.373 | + | 271.408i | 0.270350 | + | 0.285093i | ||||
\(953\) | −64.9732 | − | 64.9732i | −0.0681775 | − | 0.0681775i | 0.672196 | − | 0.740373i | \(-0.265351\pi\) |
−0.740373 | + | 0.672196i | \(0.765351\pi\) | |||||||
\(954\) | 171.358 | − | 69.2092i | 0.179620 | − | 0.0725464i | ||||
\(955\) | −530.883 | − | 219.899i | −0.555898 | − | 0.230261i | ||||
\(956\) | −427.634 | − | 7.56625i | −0.447316 | − | 0.00791449i | ||||
\(957\) | 876.590 | − | 363.095i | 0.915977 | − | 0.379410i | ||||
\(958\) | −5.50449 | + | 622.262i | −0.00574582 | + | 0.649542i | ||||
\(959\) | − | 207.101i | − | 0.215955i | ||||||
\(960\) | 363.300 | + | 19.3000i | 0.378437 | + | 0.0201042i | ||||
\(961\) | −306.806 | −0.319257 | ||||||||
\(962\) | 1439.80 | + | 12.7364i | 1.49667 | + | 0.0132395i | ||||
\(963\) | −122.764 | − | 296.379i | −0.127481 | − | 0.307766i | ||||
\(964\) | 23.8880 | − | 1350.12i | 0.0247800 | − | 1.40053i | ||||
\(965\) | −23.2310 | + | 56.0847i | −0.0240736 | + | 0.0581189i | ||||
\(966\) | 207.439 | + | 513.605i | 0.214740 | + | 0.531682i | ||||
\(967\) | 330.520 | − | 330.520i | 0.341799 | − | 0.341799i | −0.515244 | − | 0.857043i | \(-0.672299\pi\) |
0.857043 | + | 0.515244i | \(0.172299\pi\) | |||||||
\(968\) | −344.221 | − | 362.993i | −0.355600 | − | 0.374993i | ||||
\(969\) | −643.054 | + | 643.054i | −0.663626 | + | 0.663626i | ||||
\(970\) | 202.140 | − | 476.056i | 0.208392 | − | 0.490779i | ||||
\(971\) | −353.489 | + | 853.398i | −0.364046 | + | 0.878885i | 0.630654 | + | 0.776064i | \(0.282787\pi\) |
−0.994700 | + | 0.102821i | \(0.967213\pi\) | |||||||
\(972\) | −536.346 | + | 211.125i | −0.551796 | + | 0.217206i | ||||
\(973\) | −80.9237 | − | 195.367i | −0.0831692 | − | 0.200788i | ||||
\(974\) | −1102.73 | + | 1083.39i | −1.13216 | + | 1.11231i | ||||
\(975\) | −760.362 | −0.779859 | ||||||||
\(976\) | 794.377 | − | 296.574i | 0.813911 | − | 0.303867i | ||||
\(977\) | 1414.63i | 1.44794i | 0.689833 | + | 0.723968i | \(0.257684\pi\) | ||||
−0.689833 | + | 0.723968i | \(0.742316\pi\) | |||||||
\(978\) | 517.006 | − | 507.940i | 0.528636 | − | 0.519366i | ||||
\(979\) | 196.017 | − | 81.1929i | 0.200222 | − | 0.0829345i | ||||
\(980\) | 58.5238 | + | 25.4634i | 0.0597182 | + | 0.0259831i | ||||
\(981\) | −203.620 | − | 84.3423i | −0.207564 | − | 0.0859758i | ||||
\(982\) | 489.888 | − | 1153.72i | 0.498868 | − | 1.17487i | ||||
\(983\) | 6.19780 | + | 6.19780i | 0.00630498 | + | 0.00630498i | 0.710252 | − | 0.703947i | \(-0.248581\pi\) |
−0.703947 | + | 0.710252i | \(0.748581\pi\) | |||||||
\(984\) | −1408.42 | − | 627.673i | −1.43132 | − | 0.637879i | ||||
\(985\) | −77.9945 | − | 77.9945i | −0.0791822 | − | 0.0791822i | ||||
\(986\) | 658.563 | + | 1630.56i | 0.667914 | + | 1.65371i | ||||
\(987\) | −162.309 | − | 67.2305i | −0.164447 | − | 0.0681160i | ||||
\(988\) | 882.514 | + | 914.305i | 0.893233 | + | 0.925410i | ||||
\(989\) | 725.988 | − | 300.714i | 0.734063 | − | 0.304059i | ||||
\(990\) | −96.9235 | − | 0.857380i | −0.0979025 | − | 0.000866040i | ||||
\(991\) | 877.513i | 0.885482i | 0.896649 | + | 0.442741i | \(0.145994\pi\) | ||||
−0.896649 | + | 0.442741i | \(0.854006\pi\) | |||||||
\(992\) | −50.3776 | + | 1138.29i | −0.0507839 | + | 1.14747i | ||||
\(993\) | 1002.27 | 1.00934 | ||||||||
\(994\) | 3.38750 | − | 382.944i | 0.00340795 | − | 0.385256i | ||||
\(995\) | −24.4406 | − | 59.0049i | −0.0245634 | − | 0.0593014i | ||||
\(996\) | 66.8340 | + | 69.2417i | 0.0671024 | + | 0.0695197i | ||||
\(997\) | 226.661 | − | 547.207i | 0.227343 | − | 0.548854i | −0.768510 | − | 0.639838i | \(-0.779001\pi\) |
0.995852 | + | 0.0909845i | \(0.0290014\pi\) | |||||||
\(998\) | 724.216 | − | 292.502i | 0.725667 | − | 0.293088i | ||||
\(999\) | −971.469 | + | 971.469i | −0.972442 | + | 0.972442i |
(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 | 224.3.w.a.43.1 | ✓ | 192 | |
32.3 | odd | 8 | inner | 224.3.w.a.99.1 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.3.w.a.43.1 | ✓ | 192 | 1.1 | even | 1 | trivial | |
224.3.w.a.99.1 | yes | 192 | 32.3 | odd | 8 | inner |