Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(13,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.k (of order \(20\), degree \(8\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 150.13 |
Dual form | 150.3.k.a.127.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39680 | − | 0.221232i | 0.698401 | − | 0.110616i | ||||
\(3\) | −0.786335 | + | 1.54327i | −0.262112 | + | 0.514423i | ||||
\(4\) | 1.90211 | − | 0.618034i | 0.475528 | − | 0.154508i | ||||
\(5\) | 1.98098 | − | 4.59083i | 0.396197 | − | 0.918166i | ||||
\(6\) | −0.756934 | + | 2.32960i | −0.126156 | + | 0.388267i | ||||
\(7\) | 3.83711 | − | 3.83711i | 0.548158 | − | 0.548158i | −0.377749 | − | 0.925908i | \(-0.623302\pi\) |
0.925908 | + | 0.377749i | \(0.123302\pi\) | |||||||
\(8\) | 2.52015 | − | 1.28408i | 0.315018 | − | 0.160510i | ||||
\(9\) | −1.76336 | − | 2.42705i | −0.195928 | − | 0.269672i | ||||
\(10\) | 1.75141 | − | 6.85074i | 0.175141 | − | 0.685074i | ||||
\(11\) | 10.4992 | + | 7.62811i | 0.954472 | + | 0.693464i | 0.951860 | − | 0.306532i | \(-0.0991687\pi\) |
0.00261153 | + | 0.999997i | \(0.499169\pi\) | |||||||
\(12\) | −0.541905 | + | 3.42145i | −0.0451587 | + | 0.285121i | ||||
\(13\) | −0.104266 | − | 0.0165142i | −0.00802050 | − | 0.00127032i | 0.152423 | − | 0.988315i | \(-0.451292\pi\) |
−0.160443 | + | 0.987045i | \(0.551292\pi\) | |||||||
\(14\) | 4.51079 | − | 6.20857i | 0.322199 | − | 0.443469i | ||||
\(15\) | 5.52716 | + | 6.66712i | 0.368478 | + | 0.444475i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.202254 | − | 0.146946i | ||||
\(17\) | 3.65779 | + | 7.17883i | 0.215164 | + | 0.422284i | 0.973210 | − | 0.229918i | \(-0.0738457\pi\) |
−0.758046 | + | 0.652201i | \(0.773846\pi\) | |||||||
\(18\) | −3.00000 | − | 3.00000i | −0.166667 | − | 0.166667i | ||||
\(19\) | −3.30085 | − | 1.07251i | −0.173729 | − | 0.0564480i | 0.220861 | − | 0.975305i | \(-0.429113\pi\) |
−0.394590 | + | 0.918857i | \(0.629113\pi\) | |||||||
\(20\) | 0.930770 | − | 9.95659i | 0.0465385 | − | 0.497829i | ||||
\(21\) | 2.90444 | + | 8.93894i | 0.138307 | + | 0.425664i | ||||
\(22\) | 16.3529 | + | 8.33220i | 0.743312 | + | 0.378737i | ||||
\(23\) | −0.273325 | − | 1.72571i | −0.0118837 | − | 0.0750307i | 0.981034 | − | 0.193837i | \(-0.0620933\pi\) |
−0.992917 | + | 0.118806i | \(0.962093\pi\) | |||||||
\(24\) | 4.89898i | 0.204124i | ||||||||
\(25\) | −17.1514 | − | 18.1887i | −0.686056 | − | 0.727549i | ||||
\(26\) | −0.149293 | −0.00574204 | ||||||||
\(27\) | 5.13218 | − | 0.812857i | 0.190081 | − | 0.0301058i | ||||
\(28\) | 4.92715 | − | 9.67008i | 0.175970 | − | 0.345360i | ||||
\(29\) | −43.2716 | + | 14.0598i | −1.49213 | + | 0.484821i | −0.937710 | − | 0.347419i | \(-0.887058\pi\) |
−0.554415 | + | 0.832240i | \(0.687058\pi\) | |||||||
\(30\) | 9.19533 | + | 8.08986i | 0.306511 | + | 0.269662i | ||||
\(31\) | −3.47861 | + | 10.7061i | −0.112213 | + | 0.345357i | −0.991356 | − | 0.131202i | \(-0.958116\pi\) |
0.879142 | + | 0.476559i | \(0.158116\pi\) | |||||||
\(32\) | 4.00000 | − | 4.00000i | 0.125000 | − | 0.125000i | ||||
\(33\) | −20.0281 | + | 10.2048i | −0.606912 | + | 0.309237i | ||||
\(34\) | 6.69740 | + | 9.21818i | 0.196982 | + | 0.271123i | ||||
\(35\) | −10.0143 | − | 25.2168i | −0.286121 | − | 0.720479i | ||||
\(36\) | −4.85410 | − | 3.52671i | −0.134836 | − | 0.0979642i | ||||
\(37\) | 4.05555 | − | 25.6057i | 0.109609 | − | 0.692047i | −0.870288 | − | 0.492544i | \(-0.836067\pi\) |
0.979897 | − | 0.199503i | \(-0.0639328\pi\) | |||||||
\(38\) | −4.84792 | − | 0.767834i | −0.127577 | − | 0.0202062i | ||||
\(39\) | 0.107474 | − | 0.147925i | 0.00275575 | − | 0.00379296i | ||||
\(40\) | −0.902613 | − | 14.1133i | −0.0225653 | − | 0.352833i | ||||
\(41\) | −51.0770 | + | 37.1096i | −1.24578 | + | 0.905112i | −0.997969 | − | 0.0636964i | \(-0.979711\pi\) |
−0.247811 | + | 0.968808i | \(0.579711\pi\) | |||||||
\(42\) | 6.03450 | + | 11.8434i | 0.143679 | + | 0.281985i | ||||
\(43\) | −51.7744 | − | 51.7744i | −1.20406 | − | 1.20406i | −0.972922 | − | 0.231135i | \(-0.925756\pi\) |
−0.231135 | − | 0.972922i | \(-0.574244\pi\) | |||||||
\(44\) | 24.6851 | + | 8.02067i | 0.561024 | + | 0.182288i | ||||
\(45\) | −14.6354 | + | 3.28731i | −0.325230 | + | 0.0730514i | ||||
\(46\) | −0.763562 | − | 2.35000i | −0.0165992 | − | 0.0510870i | ||||
\(47\) | 59.7583 | + | 30.4484i | 1.27145 | + | 0.647838i | 0.953821 | − | 0.300376i | \(-0.0971123\pi\) |
0.317632 | + | 0.948214i | \(0.397112\pi\) | |||||||
\(48\) | 1.08381 | + | 6.84291i | 0.0225794 | + | 0.142561i | ||||
\(49\) | 19.5532i | 0.399045i | ||||||||
\(50\) | −27.9810 | − | 21.6116i | −0.559621 | − | 0.432232i | ||||
\(51\) | −13.9551 | −0.273630 | ||||||||
\(52\) | −0.208533 | + | 0.0330284i | −0.00401025 | + | 0.000635161i | ||||
\(53\) | −28.3235 | + | 55.5880i | −0.534406 | + | 1.04883i | 0.453131 | + | 0.891444i | \(0.350307\pi\) |
−0.987537 | + | 0.157387i | \(0.949693\pi\) | |||||||
\(54\) | 6.98881 | − | 2.27080i | 0.129422 | − | 0.0420519i | ||||
\(55\) | 55.8181 | − | 33.0888i | 1.01487 | − | 0.601615i | ||||
\(56\) | 4.74293 | − | 14.5972i | 0.0846951 | − | 0.260665i | ||||
\(57\) | 4.25075 | − | 4.25075i | 0.0745746 | − | 0.0745746i | ||||
\(58\) | −57.3314 | + | 29.2118i | −0.988473 | + | 0.503652i | ||||
\(59\) | 39.9991 | + | 55.0540i | 0.677950 | + | 0.933118i | 0.999907 | − | 0.0136359i | \(-0.00434057\pi\) |
−0.321957 | + | 0.946754i | \(0.604341\pi\) | |||||||
\(60\) | 14.6338 | + | 9.26564i | 0.243897 | + | 0.154427i | ||||
\(61\) | 35.3844 | + | 25.7082i | 0.580071 | + | 0.421447i | 0.838750 | − | 0.544517i | \(-0.183287\pi\) |
−0.258678 | + | 0.965963i | \(0.583287\pi\) | |||||||
\(62\) | −2.49041 | + | 15.7238i | −0.0401679 | + | 0.253610i | ||||
\(63\) | −16.0790 | − | 2.54667i | −0.255223 | − | 0.0404233i | ||||
\(64\) | 4.70228 | − | 6.47214i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −0.282364 | + | 0.445955i | −0.00434406 | + | 0.00686084i | ||||
\(66\) | −25.7177 | + | 18.6850i | −0.389661 | + | 0.283106i | ||||
\(67\) | −1.08774 | − | 2.13481i | −0.0162349 | − | 0.0318629i | 0.882747 | − | 0.469849i | \(-0.155692\pi\) |
−0.898982 | + | 0.437986i | \(0.855692\pi\) | |||||||
\(68\) | 11.3943 | + | 11.3943i | 0.167563 | + | 0.167563i | ||||
\(69\) | 2.87815 | + | 0.935168i | 0.0417123 | + | 0.0135532i | ||||
\(70\) | −19.5667 | − | 33.0074i | −0.279524 | − | 0.471534i | ||||
\(71\) | −4.80591 | − | 14.7911i | −0.0676889 | − | 0.208325i | 0.911491 | − | 0.411321i | \(-0.134932\pi\) |
−0.979180 | + | 0.202995i | \(0.934932\pi\) | |||||||
\(72\) | −7.56044 | − | 3.85224i | −0.105006 | − | 0.0535033i | ||||
\(73\) | −16.2922 | − | 102.865i | −0.223181 | − | 1.40911i | −0.803784 | − | 0.594921i | \(-0.797183\pi\) |
0.580603 | − | 0.814187i | \(-0.302817\pi\) | |||||||
\(74\) | − | 36.6634i | − | 0.495451i | ||||||
\(75\) | 41.5568 | − | 12.1668i | 0.554091 | − | 0.162224i | ||||
\(76\) | −6.94145 | −0.0913348 | ||||||||
\(77\) | 69.5564 | − | 11.0167i | 0.903330 | − | 0.143073i | ||||
\(78\) | 0.117394 | − | 0.230399i | 0.00150506 | − | 0.00295384i | ||||
\(79\) | 31.5603 | − | 10.2545i | 0.399497 | − | 0.129804i | −0.102376 | − | 0.994746i | \(-0.532645\pi\) |
0.501873 | + | 0.864941i | \(0.332645\pi\) | |||||||
\(80\) | −4.38308 | − | 19.5138i | −0.0547885 | − | 0.243923i | ||||
\(81\) | −2.78115 | + | 8.55951i | −0.0343352 | + | 0.105673i | ||||
\(82\) | −63.1346 | + | 63.1346i | −0.769934 | + | 0.769934i | ||||
\(83\) | −89.8383 | + | 45.7749i | −1.08239 | + | 0.551505i | −0.901844 | − | 0.432062i | \(-0.857786\pi\) |
−0.180545 | + | 0.983567i | \(0.557786\pi\) | |||||||
\(84\) | 11.0491 | + | 15.2078i | 0.131537 | + | 0.181046i | ||||
\(85\) | 40.2028 | − | 2.57116i | 0.472974 | − | 0.0302489i | ||||
\(86\) | −83.7728 | − | 60.8645i | −0.974102 | − | 0.707727i | ||||
\(87\) | 12.3279 | − | 77.8355i | 0.141700 | − | 0.894661i | ||||
\(88\) | 36.2546 | + | 5.74216i | 0.411984 | + | 0.0652519i | ||||
\(89\) | −60.8866 | + | 83.8032i | −0.684119 | + | 0.941609i | −0.999974 | − | 0.00719814i | \(-0.997709\pi\) |
0.315855 | + | 0.948808i | \(0.397709\pi\) | |||||||
\(90\) | −19.7154 | + | 7.82953i | −0.219060 | + | 0.0869948i | ||||
\(91\) | −0.463448 | + | 0.336715i | −0.00509284 | + | 0.00370016i | ||||
\(92\) | −1.58644 | − | 3.11356i | −0.0172439 | − | 0.0338431i | ||||
\(93\) | −13.7870 | − | 13.7870i | −0.148247 | − | 0.148247i | ||||
\(94\) | 90.2067 | + | 29.3099i | 0.959645 | + | 0.311808i | ||||
\(95\) | −11.4627 | + | 13.0290i | −0.120660 | + | 0.137148i | ||||
\(96\) | 3.02774 | + | 9.31841i | 0.0315389 | + | 0.0970668i | ||||
\(97\) | −60.6542 | − | 30.9048i | −0.625301 | − | 0.318607i | 0.112473 | − | 0.993655i | \(-0.464123\pi\) |
−0.737774 | + | 0.675048i | \(0.764123\pi\) | |||||||
\(98\) | 4.32579 | + | 27.3119i | 0.0441407 | + | 0.278693i | ||||
\(99\) | − | 38.9331i | − | 0.393264i | ||||||
\(100\) | −43.8651 | − | 23.9969i | −0.438651 | − | 0.239969i | ||||
\(101\) | 60.0539 | 0.594593 | 0.297297 | − | 0.954785i | \(-0.403915\pi\) | ||||
0.297297 | + | 0.954785i | \(0.403915\pi\) | |||||||
\(102\) | −19.4925 | + | 3.08731i | −0.191103 | + | 0.0302678i | ||||
\(103\) | 55.5180 | − | 108.960i | 0.539009 | − | 1.05787i | −0.447519 | − | 0.894274i | \(-0.647692\pi\) |
0.986528 | − | 0.163591i | \(-0.0523077\pi\) | |||||||
\(104\) | −0.283972 | + | 0.0922682i | −0.00273050 | + | 0.000887194i | ||||
\(105\) | 46.7908 | + | 4.37413i | 0.445627 | + | 0.0416584i | ||||
\(106\) | −27.2645 | + | 83.9115i | −0.257212 | + | 0.791618i | ||||
\(107\) | 133.194 | − | 133.194i | 1.24480 | − | 1.24480i | 0.286818 | − | 0.957985i | \(-0.407402\pi\) |
0.957985 | − | 0.286818i | \(-0.0925975\pi\) | |||||||
\(108\) | 9.25961 | − | 4.71801i | 0.0857371 | − | 0.0436853i | ||||
\(109\) | 86.0632 | + | 118.456i | 0.789571 | + | 1.08675i | 0.994161 | + | 0.107903i | \(0.0344136\pi\) |
−0.204591 | + | 0.978848i | \(0.565586\pi\) | |||||||
\(110\) | 70.6465 | − | 58.5672i | 0.642241 | − | 0.532430i | ||||
\(111\) | 36.3275 | + | 26.3935i | 0.327275 | + | 0.237779i | ||||
\(112\) | 3.39556 | − | 21.4387i | 0.0303175 | − | 0.191417i | ||||
\(113\) | 101.376 | + | 16.0563i | 0.897128 | + | 0.142091i | 0.587935 | − | 0.808908i | \(-0.299941\pi\) |
0.309193 | + | 0.950999i | \(0.399941\pi\) | |||||||
\(114\) | 4.99706 | − | 6.87786i | 0.0438338 | − | 0.0603321i | ||||
\(115\) | −8.46387 | − | 2.16381i | −0.0735989 | − | 0.0188157i | ||||
\(116\) | −73.6181 | + | 53.4867i | −0.634639 | + | 0.461092i | ||||
\(117\) | 0.143778 | + | 0.282180i | 0.00122887 | + | 0.00241180i | ||||
\(118\) | 68.0505 | + | 68.0505i | 0.576699 | + | 0.576699i | ||||
\(119\) | 41.5813 | + | 13.5106i | 0.349423 | + | 0.113534i | ||||
\(120\) | 22.4904 | + | 9.70480i | 0.187420 | + | 0.0808734i | ||||
\(121\) | 14.6539 | + | 45.1001i | 0.121107 | + | 0.372728i | ||||
\(122\) | 55.1124 | + | 28.0812i | 0.451741 | + | 0.230174i | ||||
\(123\) | −17.1065 | − | 108.006i | −0.139077 | − | 0.878098i | ||||
\(124\) | 22.5141i | 0.181565i | ||||||||
\(125\) | −117.478 | + | 42.7075i | −0.939824 | + | 0.341660i | ||||
\(126\) | −23.0227 | −0.182719 | ||||||||
\(127\) | 69.8635 | − | 11.0653i | 0.550106 | − | 0.0871282i | 0.124807 | − | 0.992181i | \(-0.460169\pi\) |
0.425299 | + | 0.905053i | \(0.360169\pi\) | |||||||
\(128\) | 5.13632 | − | 10.0806i | 0.0401275 | − | 0.0787546i | ||||
\(129\) | 120.614 | − | 39.1898i | 0.934991 | − | 0.303797i | ||||
\(130\) | −0.295747 | + | 0.685379i | −0.00227498 | + | 0.00527214i | ||||
\(131\) | 34.2300 | − | 105.349i | 0.261298 | − | 0.804192i | −0.731225 | − | 0.682136i | \(-0.761051\pi\) |
0.992523 | − | 0.122056i | \(-0.0389488\pi\) | |||||||
\(132\) | −31.7888 | + | 31.7888i | −0.240824 | + | 0.240824i | ||||
\(133\) | −16.7811 | + | 8.55039i | −0.126174 | + | 0.0642887i | ||||
\(134\) | −1.99165 | − | 2.74127i | −0.0148630 | − | 0.0204572i | ||||
\(135\) | 6.43508 | − | 25.1712i | 0.0476673 | − | 0.186453i | ||||
\(136\) | 18.4364 | + | 13.3948i | 0.135561 | + | 0.0984912i | ||||
\(137\) | 31.3499 | − | 197.935i | 0.228831 | − | 1.44478i | −0.559141 | − | 0.829072i | \(-0.688869\pi\) |
0.787972 | − | 0.615711i | \(-0.211131\pi\) | |||||||
\(138\) | 4.22710 | + | 0.669507i | 0.0306311 | + | 0.00485150i | ||||
\(139\) | −130.858 | + | 180.111i | −0.941427 | + | 1.29576i | 0.0138042 | + | 0.999905i | \(0.495606\pi\) |
−0.955232 | + | 0.295859i | \(0.904394\pi\) | |||||||
\(140\) | −34.6331 | − | 41.7760i | −0.247379 | − | 0.298400i | ||||
\(141\) | −93.9800 | + | 68.2805i | −0.666525 | + | 0.484259i | ||||
\(142\) | −9.98517 | − | 19.5970i | −0.0703181 | − | 0.138007i | ||||
\(143\) | −0.968741 | − | 0.968741i | −0.00677441 | − | 0.00677441i | ||||
\(144\) | −11.4127 | − | 3.70820i | −0.0792547 | − | 0.0257514i | ||||
\(145\) | −21.1743 | + | 226.505i | −0.146030 | + | 1.56210i | ||||
\(146\) | −45.5140 | − | 140.078i | −0.311739 | − | 0.959435i | ||||
\(147\) | −30.1758 | − | 15.3754i | −0.205278 | − | 0.104594i | ||||
\(148\) | −8.11110 | − | 51.2115i | −0.0548047 | − | 0.346023i | ||||
\(149\) | − | 166.223i | − | 1.11559i | −0.829978 | − | 0.557797i | \(-0.811647\pi\) | ||
0.829978 | − | 0.557797i | \(-0.188353\pi\) | |||||||
\(150\) | 55.3550 | − | 26.1883i | 0.369033 | − | 0.174589i | ||||
\(151\) | −7.28196 | −0.0482249 | −0.0241124 | − | 0.999709i | \(-0.507676\pi\) | ||||
−0.0241124 | + | 0.999709i | \(0.507676\pi\) | |||||||
\(152\) | −9.69583 | + | 1.53567i | −0.0637884 | + | 0.0101031i | ||||
\(153\) | 10.9734 | − | 21.5365i | 0.0717215 | − | 0.140761i | ||||
\(154\) | 94.7193 | − | 30.7762i | 0.615061 | − | 0.199845i | ||||
\(155\) | 42.2586 | + | 37.1783i | 0.272636 | + | 0.239860i | ||||
\(156\) | 0.113005 | − | 0.347794i | 0.000724391 | − | 0.00222945i | ||||
\(157\) | −190.713 | + | 190.713i | −1.21474 | + | 1.21474i | −0.245284 | + | 0.969451i | \(0.578881\pi\) |
−0.969451 | + | 0.245284i | \(0.921119\pi\) | |||||||
\(158\) | 41.8148 | − | 21.3057i | 0.264651 | − | 0.134846i | ||||
\(159\) | −63.5155 | − | 87.4216i | −0.399469 | − | 0.549821i | ||||
\(160\) | −10.4394 | − | 26.2873i | −0.0652461 | − | 0.164295i | ||||
\(161\) | −7.67050 | − | 5.57294i | −0.0476428 | − | 0.0346145i | ||||
\(162\) | −1.99109 | + | 12.5712i | −0.0122907 | + | 0.0776001i | ||||
\(163\) | 144.723 | + | 22.9219i | 0.887871 | + | 0.140625i | 0.583678 | − | 0.811985i | \(-0.301613\pi\) |
0.304193 | + | 0.952610i | \(0.401613\pi\) | |||||||
\(164\) | −74.2192 | + | 102.154i | −0.452556 | + | 0.622890i | ||||
\(165\) | 7.17324 | + | 112.161i | 0.0434742 | + | 0.679764i | ||||
\(166\) | −115.359 | + | 83.8136i | −0.694937 | + | 0.504901i | ||||
\(167\) | 102.484 | + | 201.137i | 0.613678 | + | 1.20441i | 0.963529 | + | 0.267605i | \(0.0862324\pi\) |
−0.349851 | + | 0.936806i | \(0.613768\pi\) | |||||||
\(168\) | 18.7979 | + | 18.7979i | 0.111892 | + | 0.111892i | ||||
\(169\) | −160.718 | − | 52.2204i | −0.950994 | − | 0.308997i | ||||
\(170\) | 55.5865 | − | 12.4855i | 0.326980 | − | 0.0734443i | ||||
\(171\) | 3.21754 | + | 9.90256i | 0.0188160 | + | 0.0579097i | ||||
\(172\) | −130.479 | − | 66.4824i | −0.758600 | − | 0.386526i | ||||
\(173\) | −5.66415 | − | 35.7620i | −0.0327408 | − | 0.206717i | 0.965895 | − | 0.258934i | \(-0.0833712\pi\) |
−0.998636 | + | 0.0522170i | \(0.983371\pi\) | |||||||
\(174\) | − | 111.448i | − | 0.640506i | ||||||
\(175\) | −135.604 | − | 3.98032i | −0.774879 | − | 0.0227447i | ||||
\(176\) | 51.9108 | 0.294948 | ||||||||
\(177\) | −116.416 | + | 18.4384i | −0.657716 | + | 0.104172i | ||||
\(178\) | −66.5066 | + | 130.527i | −0.373633 | + | 0.733296i | ||||
\(179\) | −265.756 | + | 86.3494i | −1.48467 | + | 0.482399i | −0.935505 | − | 0.353314i | \(-0.885055\pi\) |
−0.549167 | + | 0.835713i | \(0.685055\pi\) | |||||||
\(180\) | −25.8064 | + | 15.2980i | −0.143369 | + | 0.0849888i | ||||
\(181\) | −36.6493 | + | 112.795i | −0.202482 | + | 0.623177i | 0.797325 | + | 0.603550i | \(0.206248\pi\) |
−0.999807 | + | 0.0196265i | \(0.993752\pi\) | |||||||
\(182\) | −0.572854 | + | 0.572854i | −0.00314755 | + | 0.00314755i | ||||
\(183\) | −67.4987 | + | 34.3923i | −0.368845 | + | 0.187936i | ||||
\(184\) | −2.90476 | − | 3.99806i | −0.0157867 | − | 0.0217286i | ||||
\(185\) | −109.517 | − | 69.3429i | −0.591986 | − | 0.374826i | ||||
\(186\) | −22.3078 | − | 16.2076i | −0.119934 | − | 0.0871375i | ||||
\(187\) | −16.3570 | + | 103.274i | −0.0874705 | + | 0.552267i | ||||
\(188\) | 132.485 | + | 20.9836i | 0.704708 | + | 0.111615i | ||||
\(189\) | 16.5737 | − | 22.8118i | 0.0876916 | − | 0.120697i | ||||
\(190\) | −13.1286 | + | 20.7349i | −0.0690981 | + | 0.109131i | ||||
\(191\) | 268.636 | − | 195.176i | 1.40647 | − | 1.02186i | 0.412650 | − | 0.910889i | \(-0.364603\pi\) |
0.993823 | − | 0.110973i | \(-0.0353969\pi\) | |||||||
\(192\) | 6.29068 | + | 12.3461i | 0.0327639 | + | 0.0643029i | ||||
\(193\) | −157.194 | − | 157.194i | −0.814476 | − | 0.814476i | 0.170825 | − | 0.985301i | \(-0.445357\pi\) |
−0.985301 | + | 0.170825i | \(0.945357\pi\) | |||||||
\(194\) | −91.5590 | − | 29.7493i | −0.471954 | − | 0.153347i | ||||
\(195\) | −0.466196 | − | 0.786433i | −0.00239075 | − | 0.00403299i | ||||
\(196\) | 12.0845 | + | 37.1924i | 0.0616558 | + | 0.189757i | ||||
\(197\) | −258.292 | − | 131.607i | −1.31113 | − | 0.668054i | −0.348102 | − | 0.937457i | \(-0.613174\pi\) |
−0.963028 | + | 0.269403i | \(0.913174\pi\) | |||||||
\(198\) | −8.61325 | − | 54.3819i | −0.0435012 | − | 0.274656i | ||||
\(199\) | − | 330.142i | − | 1.65901i | −0.558501 | − | 0.829504i | \(-0.688623\pi\) | ||
0.558501 | − | 0.829504i | \(-0.311377\pi\) | |||||||
\(200\) | −66.5798 | − | 23.8145i | −0.332899 | − | 0.119072i | ||||
\(201\) | 4.14992 | 0.0206464 | ||||||||
\(202\) | 83.8834 | − | 13.2858i | 0.415264 | − | 0.0657714i | ||||
\(203\) | −112.089 | + | 219.987i | −0.552162 | + | 1.08368i | ||||
\(204\) | −26.5442 | + | 8.62473i | −0.130119 | + | 0.0422781i | ||||
\(205\) | 69.1810 | + | 307.999i | 0.337469 | + | 1.50243i | ||||
\(206\) | 53.4422 | − | 164.478i | 0.259428 | − | 0.798437i | ||||
\(207\) | −3.70641 | + | 3.70641i | −0.0179053 | + | 0.0179053i | ||||
\(208\) | −0.376240 | + | 0.191704i | −0.00180885 | + | 0.000921654i | ||||
\(209\) | −26.4751 | − | 36.4398i | −0.126675 | − | 0.174353i | ||||
\(210\) | 66.3252 | − | 4.24181i | 0.315834 | − | 0.0201991i | ||||
\(211\) | −0.959337 | − | 0.696999i | −0.00454662 | − | 0.00330331i | 0.585510 | − | 0.810665i | \(-0.300894\pi\) |
−0.590056 | + | 0.807362i | \(0.700894\pi\) | |||||||
\(212\) | −19.5192 | + | 123.240i | −0.0920719 | + | 0.581319i | ||||
\(213\) | 26.6057 | + | 4.21392i | 0.124909 | + | 0.0197837i | ||||
\(214\) | 156.579 | − | 215.512i | 0.731677 | − | 1.00707i | ||||
\(215\) | −340.252 | + | 135.123i | −1.58257 | + | 0.628480i | ||||
\(216\) | 11.8901 | − | 8.63864i | 0.0550466 | − | 0.0399937i | ||||
\(217\) | 27.7325 | + | 54.4282i | 0.127800 | + | 0.250821i | ||||
\(218\) | 146.419 | + | 146.419i | 0.671649 | + | 0.671649i | ||||
\(219\) | 171.559 | + | 55.7430i | 0.783376 | + | 0.254534i | ||||
\(220\) | 85.7223 | − | 97.4361i | 0.389647 | − | 0.442891i | ||||
\(221\) | −0.262833 | − | 0.808916i | −0.00118929 | − | 0.00366025i | ||||
\(222\) | 56.5814 | + | 28.8297i | 0.254871 | + | 0.129863i | ||||
\(223\) | 1.76173 | + | 11.1231i | 0.00790014 | + | 0.0498795i | 0.991323 | − | 0.131445i | \(-0.0419616\pi\) |
−0.983423 | + | 0.181324i | \(0.941962\pi\) | |||||||
\(224\) | − | 30.6969i | − | 0.137040i | ||||||
\(225\) | −13.9009 | + | 73.7005i | −0.0617819 | + | 0.327558i | ||||
\(226\) | 145.154 | 0.642273 | ||||||||
\(227\) | 147.933 | − | 23.4302i | 0.651686 | − | 0.103217i | 0.178167 | − | 0.984000i | \(-0.442983\pi\) |
0.473519 | + | 0.880783i | \(0.342983\pi\) | |||||||
\(228\) | 5.45830 | − | 10.7125i | 0.0239399 | − | 0.0469847i | ||||
\(229\) | 42.0859 | − | 13.6745i | 0.183781 | − | 0.0597142i | −0.215681 | − | 0.976464i | \(-0.569197\pi\) |
0.399462 | + | 0.916750i | \(0.369197\pi\) | |||||||
\(230\) | −12.3011 | − | 1.14994i | −0.0534828 | − | 0.00499972i | ||||
\(231\) | −37.6930 | + | 116.007i | −0.163173 | + | 0.502195i | ||||
\(232\) | −90.9970 | + | 90.9970i | −0.392228 | + | 0.392228i | ||||
\(233\) | −80.2406 | + | 40.8846i | −0.344380 | + | 0.175471i | −0.617622 | − | 0.786475i | \(-0.711904\pi\) |
0.273242 | + | 0.961945i | \(0.411904\pi\) | |||||||
\(234\) | 0.263257 | + | 0.362342i | 0.00112503 | + | 0.00154847i | ||||
\(235\) | 258.163 | − | 214.022i | 1.09857 | − | 0.910733i | ||||
\(236\) | 110.108 | + | 79.9981i | 0.466559 | + | 0.338975i | ||||
\(237\) | −8.99140 | + | 56.7695i | −0.0379384 | + | 0.239534i | ||||
\(238\) | 61.0698 | + | 9.67251i | 0.256596 | + | 0.0406408i | ||||
\(239\) | −215.012 | + | 295.939i | −0.899633 | + | 1.23824i | 0.0709524 | + | 0.997480i | \(0.477396\pi\) |
−0.970585 | + | 0.240758i | \(0.922604\pi\) | |||||||
\(240\) | 33.5616 | + | 8.58011i | 0.139840 | + | 0.0357505i | ||||
\(241\) | 382.121 | − | 277.627i | 1.58556 | − | 1.15198i | 0.675618 | − | 0.737252i | \(-0.263877\pi\) |
0.909946 | − | 0.414727i | \(-0.136123\pi\) | |||||||
\(242\) | 30.4462 | + | 59.7540i | 0.125811 | + | 0.246917i | ||||
\(243\) | −11.0227 | − | 11.0227i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 83.1936 | + | 27.0312i | 0.340957 | + | 0.110784i | ||||
\(245\) | 89.7653 | + | 38.7346i | 0.366389 | + | 0.158100i | ||||
\(246\) | −47.7887 | − | 147.079i | −0.194263 | − | 0.597881i | ||||
\(247\) | 0.326457 | + | 0.166338i | 0.00132169 | + | 0.000673433i | ||||
\(248\) | 4.98082 | + | 31.4477i | 0.0200840 | + | 0.126805i | ||||
\(249\) | − | 174.639i | − | 0.701362i | ||||||
\(250\) | −154.645 | + | 85.6438i | −0.618581 | + | 0.342575i | ||||
\(251\) | 100.019 | 0.398481 | 0.199241 | − | 0.979951i | \(-0.436152\pi\) | ||||
0.199241 | + | 0.979951i | \(0.436152\pi\) | |||||||
\(252\) | −32.1581 | + | 5.09334i | −0.127611 | + | 0.0202117i | ||||
\(253\) | 10.2942 | − | 20.2035i | 0.0406884 | − | 0.0798556i | ||||
\(254\) | 95.1375 | − | 30.9120i | 0.374557 | − | 0.121701i | ||||
\(255\) | −27.6449 | + | 64.0655i | −0.108411 | + | 0.251237i | ||||
\(256\) | 4.94427 | − | 15.2169i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 129.713 | − | 129.713i | 0.504718 | − | 0.504718i | −0.408182 | − | 0.912900i | \(-0.633837\pi\) |
0.912900 | + | 0.408182i | \(0.133837\pi\) | |||||||
\(258\) | 159.804 | − | 81.4240i | 0.619394 | − | 0.315597i | ||||
\(259\) | −82.6904 | − | 113.814i | −0.319268 | − | 0.439435i | ||||
\(260\) | −0.261473 | + | 1.02277i | −0.00100567 | + | 0.00393372i | ||||
\(261\) | 110.427 | + | 80.2300i | 0.423093 | + | 0.307395i | ||||
\(262\) | 24.5060 | − | 154.725i | 0.0935343 | − | 0.590552i | ||||
\(263\) | 454.363 | + | 71.9641i | 1.72762 | + | 0.273628i | 0.939662 | − | 0.342105i | \(-0.111140\pi\) |
0.787955 | + | 0.615733i | \(0.211140\pi\) | |||||||
\(264\) | −37.3699 | + | 51.4353i | −0.141553 | + | 0.194831i | ||||
\(265\) | 199.087 | + | 240.147i | 0.751270 | + | 0.906217i | ||||
\(266\) | −21.5482 | + | 15.6557i | −0.0810084 | + | 0.0588561i | ||||
\(267\) | −81.4536 | − | 159.862i | −0.305070 | − | 0.598733i | ||||
\(268\) | −3.38839 | − | 3.38839i | −0.0126433 | − | 0.0126433i | ||||
\(269\) | −140.238 | − | 45.5661i | −0.521331 | − | 0.169391i | 0.0365185 | − | 0.999333i | \(-0.488373\pi\) |
−0.557849 | + | 0.829942i | \(0.688373\pi\) | |||||||
\(270\) | 3.41987 | − | 36.5828i | 0.0126662 | − | 0.135492i | ||||
\(271\) | −58.1538 | − | 178.979i | −0.214590 | − | 0.660439i | −0.999182 | − | 0.0404279i | \(-0.987128\pi\) |
0.784593 | − | 0.620012i | \(-0.212872\pi\) | |||||||
\(272\) | 28.7153 | + | 14.6312i | 0.105571 | + | 0.0537911i | ||||
\(273\) | −0.155216 | − | 0.979996i | −0.000568557 | − | 0.00358973i | ||||
\(274\) | − | 283.412i | − | 1.03435i | ||||||
\(275\) | −41.3303 | − | 321.800i | −0.150292 | − | 1.17018i | ||||
\(276\) | 6.05254 | 0.0219295 | ||||||||
\(277\) | −169.401 | + | 26.8306i | −0.611558 | + | 0.0968612i | −0.454528 | − | 0.890733i | \(-0.650192\pi\) |
−0.157030 | + | 0.987594i | \(0.550192\pi\) | |||||||
\(278\) | −142.937 | + | 280.530i | −0.514162 | + | 1.00910i | ||||
\(279\) | 32.1182 | − | 10.4358i | 0.115119 | − | 0.0374044i | ||||
\(280\) | −57.6177 | − | 50.6909i | −0.205777 | − | 0.181039i | ||||
\(281\) | 151.657 | − | 466.753i | 0.539706 | − | 1.66104i | −0.193550 | − | 0.981090i | \(-0.562000\pi\) |
0.733256 | − | 0.679953i | \(-0.238000\pi\) | |||||||
\(282\) | −116.166 | + | 116.166i | −0.411935 | + | 0.411935i | ||||
\(283\) | −175.683 | + | 89.5151i | −0.620789 | + | 0.316308i | −0.735947 | − | 0.677039i | \(-0.763263\pi\) |
0.115158 | + | 0.993347i | \(0.463263\pi\) | |||||||
\(284\) | −18.2828 | − | 25.1641i | −0.0643760 | − | 0.0886060i | ||||
\(285\) | −11.0938 | − | 27.9351i | −0.0389256 | − | 0.0980180i | ||||
\(286\) | −1.56746 | − | 1.13882i | −0.00548062 | − | 0.00398190i | ||||
\(287\) | −53.5944 | + | 338.381i | −0.186740 | + | 1.17903i | ||||
\(288\) | −16.7616 | − | 2.65478i | −0.0582001 | − | 0.00921799i | ||||
\(289\) | 131.714 | − | 181.289i | 0.455757 | − | 0.627296i | ||||
\(290\) | 20.5338 | + | 321.067i | 0.0708061 | + | 1.10713i | ||||
\(291\) | 95.3889 | − | 69.3041i | 0.327797 | − | 0.238159i | ||||
\(292\) | −94.5636 | − | 185.592i | −0.323848 | − | 0.635587i | ||||
\(293\) | 128.886 | + | 128.886i | 0.439884 | + | 0.439884i | 0.891973 | − | 0.452089i | \(-0.149321\pi\) |
−0.452089 | + | 0.891973i | \(0.649321\pi\) | |||||||
\(294\) | −45.5512 | − | 14.8005i | −0.154936 | − | 0.0503417i | ||||
\(295\) | 331.981 | − | 74.5677i | 1.12536 | − | 0.252772i | ||||
\(296\) | −22.6592 | − | 69.7378i | −0.0765513 | − | 0.235601i | ||||
\(297\) | 60.0843 | + | 30.6145i | 0.202304 | + | 0.103079i | ||||
\(298\) | −36.7739 | − | 232.181i | −0.123402 | − | 0.779132i | ||||
\(299\) | 0.184447i | 0.000616879i | ||||||||
\(300\) | 71.5263 | − | 48.8261i | 0.238421 | − | 0.162754i | ||||
\(301\) | −397.328 | −1.32003 | ||||||||
\(302\) | −10.1715 | + | 1.61100i | −0.0336803 | + | 0.00533444i | ||||
\(303\) | −47.2225 | + | 92.6793i | −0.155850 | + | 0.305872i | ||||
\(304\) | −13.2034 | + | 4.29005i | −0.0434323 | + | 0.0141120i | ||||
\(305\) | 188.118 | − | 111.516i | 0.616780 | − | 0.365626i | ||||
\(306\) | 10.5631 | − | 32.5099i | 0.0345199 | − | 0.106241i | ||||
\(307\) | −110.355 | + | 110.355i | −0.359463 | + | 0.359463i | −0.863615 | − | 0.504152i | \(-0.831805\pi\) |
0.504152 | + | 0.863615i | \(0.331805\pi\) | |||||||
\(308\) | 125.495 | − | 63.9432i | 0.407453 | − | 0.207608i | ||||
\(309\) | 124.499 | + | 171.358i | 0.402910 | + | 0.554557i | ||||
\(310\) | 67.2520 | + | 42.5817i | 0.216942 | + | 0.137360i | ||||
\(311\) | 18.9026 | + | 13.7335i | 0.0607800 | + | 0.0441593i | 0.617760 | − | 0.786366i | \(-0.288040\pi\) |
−0.556980 | + | 0.830526i | \(0.688040\pi\) | |||||||
\(312\) | 0.0809026 | − | 0.510799i | 0.000259303 | − | 0.00163718i | ||||
\(313\) | 523.164 | + | 82.8610i | 1.67145 | + | 0.264732i | 0.919098 | − | 0.394029i | \(-0.128919\pi\) |
0.752353 | + | 0.658761i | \(0.228919\pi\) | |||||||
\(314\) | −224.197 | + | 308.581i | −0.714003 | + | 0.982742i | ||||
\(315\) | −43.5437 | + | 68.7712i | −0.138234 | + | 0.218321i | ||||
\(316\) | 53.6935 | − | 39.0106i | 0.169916 | − | 0.123451i | ||||
\(317\) | −11.0750 | − | 21.7360i | −0.0349370 | − | 0.0685678i | 0.872878 | − | 0.487938i | \(-0.162251\pi\) |
−0.907815 | + | 0.419370i | \(0.862251\pi\) | |||||||
\(318\) | −108.059 | − | 108.059i | −0.339808 | − | 0.339808i | ||||
\(319\) | −561.567 | − | 182.464i | −1.76040 | − | 0.571988i | ||||
\(320\) | −20.3973 | − | 34.4086i | −0.0637416 | − | 0.107527i | ||||
\(321\) | 100.819 | + | 310.289i | 0.314078 | + | 0.966632i | ||||
\(322\) | −11.9471 | − | 6.08734i | −0.0371027 | − | 0.0189048i | ||||
\(323\) | −4.37447 | − | 27.6193i | −0.0135432 | − | 0.0855086i | ||||
\(324\) | 18.0000i | 0.0555556i | ||||||||
\(325\) | 1.48794 | + | 2.17971i | 0.00457829 | + | 0.00670681i | ||||
\(326\) | 207.220 | 0.635646 | ||||||||
\(327\) | −250.484 | + | 39.6727i | −0.766005 | + | 0.121323i | ||||
\(328\) | −81.0698 | + | 159.109i | −0.247164 | + | 0.485087i | ||||
\(329\) | 346.133 | − | 112.465i | 1.05208 | − | 0.341840i | ||||
\(330\) | 34.8332 | + | 155.080i | 0.105555 | + | 0.469939i | ||||
\(331\) | 2.96801 | − | 9.13460i | 0.00896680 | − | 0.0275970i | −0.946473 | − | 0.322783i | \(-0.895382\pi\) |
0.955440 | + | 0.295186i | \(0.0953816\pi\) | |||||||
\(332\) | −142.592 | + | 142.592i | −0.429494 | + | 0.429494i | ||||
\(333\) | −69.2978 | + | 35.3090i | −0.208101 | + | 0.106033i | ||||
\(334\) | 187.648 | + | 258.275i | 0.561820 | + | 0.773279i | ||||
\(335\) | −11.9554 | + | 0.764602i | −0.0356876 | + | 0.00228239i | ||||
\(336\) | 30.4157 | + | 22.0983i | 0.0905228 | + | 0.0657687i | ||||
\(337\) | 36.5189 | − | 230.571i | 0.108365 | − | 0.684187i | −0.872370 | − | 0.488845i | \(-0.837418\pi\) |
0.980735 | − | 0.195342i | \(-0.0625817\pi\) | |||||||
\(338\) | −236.044 | − | 37.3857i | −0.698355 | − | 0.110609i | ||||
\(339\) | −104.494 | + | 143.824i | −0.308243 | + | 0.424260i | ||||
\(340\) | 74.8812 | − | 29.7373i | 0.220239 | − | 0.0874627i | ||||
\(341\) | −118.190 | + | 85.8698i | −0.346597 | + | 0.251818i | ||||
\(342\) | 6.68503 | + | 13.1201i | 0.0195469 | + | 0.0383629i | ||||
\(343\) | 263.046 | + | 263.046i | 0.766898 | + | 0.766898i | ||||
\(344\) | −196.962 | − | 63.9967i | −0.572563 | − | 0.186037i | ||||
\(345\) | 9.99477 | − | 11.3605i | 0.0289704 | − | 0.0329291i | ||||
\(346\) | −15.8234 | − | 48.6994i | −0.0457324 | − | 0.140750i | ||||
\(347\) | −140.354 | − | 71.5141i | −0.404479 | − | 0.206092i | 0.239902 | − | 0.970797i | \(-0.422885\pi\) |
−0.644381 | + | 0.764705i | \(0.722885\pi\) | |||||||
\(348\) | −24.6559 | − | 155.671i | −0.0708502 | − | 0.447330i | ||||
\(349\) | − | 3.44211i | − | 0.00986278i | −0.999988 | − | 0.00493139i | \(-0.998430\pi\) | ||
0.999988 | − | 0.00493139i | \(-0.00156972\pi\) | |||||||
\(350\) | −190.292 | + | 24.4402i | −0.543693 | + | 0.0698290i | ||||
\(351\) | −0.548538 | −0.00156279 | ||||||||
\(352\) | 72.5092 | − | 11.4843i | 0.205992 | − | 0.0326259i | ||||
\(353\) | 42.7528 | − | 83.9071i | 0.121113 | − | 0.237697i | −0.822488 | − | 0.568782i | \(-0.807415\pi\) |
0.943601 | + | 0.331085i | \(0.107415\pi\) | |||||||
\(354\) | −158.531 | + | 51.5097i | −0.447827 | + | 0.145508i | ||||
\(355\) | −77.4238 | − | 7.23779i | −0.218095 | − | 0.0203881i | ||||
\(356\) | −64.0200 | + | 197.033i | −0.179831 | + | 0.553464i | ||||
\(357\) | −53.5473 | + | 53.5473i | −0.149992 | + | 0.149992i | ||||
\(358\) | −352.106 | + | 179.407i | −0.983535 | + | 0.501136i | ||||
\(359\) | 32.6765 | + | 44.9754i | 0.0910210 | + | 0.125280i | 0.852099 | − | 0.523381i | \(-0.175329\pi\) |
−0.761078 | + | 0.648661i | \(0.775329\pi\) | |||||||
\(360\) | −32.6621 | + | 27.0775i | −0.0907280 | + | 0.0752152i | ||||
\(361\) | −282.310 | − | 205.110i | −0.782022 | − | 0.568172i | ||||
\(362\) | −26.2380 | + | 165.660i | −0.0724807 | + | 0.457625i | ||||
\(363\) | −81.1244 | − | 12.8488i | −0.223483 | − | 0.0353963i | ||||
\(364\) | −0.673430 | + | 0.926897i | −0.00185008 | + | 0.00254642i | ||||
\(365\) | −504.510 | − | 128.979i | −1.38222 | − | 0.353367i | ||||
\(366\) | −86.6736 | + | 62.9721i | −0.236813 | + | 0.172055i | ||||
\(367\) | 56.5884 | + | 111.061i | 0.154192 | + | 0.302619i | 0.955161 | − | 0.296087i | \(-0.0956819\pi\) |
−0.800969 | + | 0.598706i | \(0.795682\pi\) | |||||||
\(368\) | −4.94187 | − | 4.94187i | −0.0134290 | − | 0.0134290i | ||||
\(369\) | 180.134 | + | 58.5290i | 0.488167 | + | 0.158615i | ||||
\(370\) | −168.315 | − | 72.6295i | −0.454906 | − | 0.196296i | ||||
\(371\) | 104.617 | + | 321.978i | 0.281986 | + | 0.867864i | ||||
\(372\) | −34.7452 | − | 17.7036i | −0.0934012 | − | 0.0475903i | ||||
\(373\) | −76.2040 | − | 481.133i | −0.204300 | − | 1.28990i | −0.850192 | − | 0.526473i | \(-0.823514\pi\) |
0.645892 | − | 0.763429i | \(-0.276486\pi\) | |||||||
\(374\) | 147.872i | 0.395379i | ||||||||
\(375\) | 26.4678 | − | 214.882i | 0.0705807 | − | 0.573020i | ||||
\(376\) | 189.698 | 0.504515 | ||||||||
\(377\) | 4.74397 | − | 0.751370i | 0.0125835 | − | 0.00199302i | ||||
\(378\) | 18.1035 | − | 35.5301i | 0.0478929 | − | 0.0939951i | ||||
\(379\) | 21.8703 | − | 7.10610i | 0.0577053 | − | 0.0187496i | −0.280022 | − | 0.959994i | \(-0.590342\pi\) |
0.337727 | + | 0.941244i | \(0.390342\pi\) | |||||||
\(380\) | −13.7509 | + | 31.8670i | −0.0361866 | + | 0.0838605i | ||||
\(381\) | −37.8594 | + | 116.519i | −0.0993684 | + | 0.305824i | ||||
\(382\) | 332.053 | − | 332.053i | 0.869249 | − | 0.869249i | ||||
\(383\) | −569.717 | + | 290.285i | −1.48751 | + | 0.757925i | −0.993745 | − | 0.111669i | \(-0.964380\pi\) |
−0.493767 | + | 0.869594i | \(0.664380\pi\) | |||||||
\(384\) | 11.5182 | + | 15.8534i | 0.0299953 | + | 0.0412850i | ||||
\(385\) | 87.2146 | − | 341.145i | 0.226532 | − | 0.886092i | ||||
\(386\) | −254.345 | − | 184.792i | −0.658925 | − | 0.478737i | ||||
\(387\) | −34.3624 | + | 216.956i | −0.0887918 | + | 0.560610i | ||||
\(388\) | −134.471 | − | 21.2982i | −0.346576 | − | 0.0548922i | ||||
\(389\) | 242.288 | − | 333.481i | 0.622849 | − | 0.857279i | −0.374707 | − | 0.927143i | \(-0.622257\pi\) |
0.997556 | + | 0.0698647i | \(0.0222568\pi\) | |||||||
\(390\) | −0.825167 | − | 0.995354i | −0.00211581 | − | 0.00255219i | ||||
\(391\) | 11.3888 | − | 8.27443i | 0.0291273 | − | 0.0211622i | ||||
\(392\) | 25.1078 | + | 49.2769i | 0.0640506 | + | 0.125706i | ||||
\(393\) | 135.666 | + | 135.666i | 0.345206 | + | 0.345206i | ||||
\(394\) | −389.899 | − | 126.686i | −0.989591 | − | 0.321538i | ||||
\(395\) | 15.4435 | − | 165.202i | 0.0390975 | − | 0.418232i | ||||
\(396\) | −24.0620 | − | 74.0552i | −0.0607626 | − | 0.187008i | ||||
\(397\) | −80.1470 | − | 40.8370i | −0.201882 | − | 0.102864i | 0.350127 | − | 0.936702i | \(-0.386138\pi\) |
−0.552009 | + | 0.833838i | \(0.686138\pi\) | |||||||
\(398\) | −73.0380 | − | 461.144i | −0.183513 | − | 1.15865i | ||||
\(399\) | − | 32.6212i | − | 0.0817574i | ||||||
\(400\) | −98.2673 | − | 18.5346i | −0.245668 | − | 0.0463364i | ||||
\(401\) | −486.484 | −1.21318 | −0.606588 | − | 0.795016i | \(-0.707462\pi\) | ||||
−0.606588 | + | 0.795016i | \(0.707462\pi\) | |||||||
\(402\) | 5.79662 | − | 0.918094i | 0.0144194 | − | 0.00228382i | ||||
\(403\) | 0.539504 | − | 1.05884i | 0.00133872 | − | 0.00262739i | ||||
\(404\) | 114.229 | − | 37.1154i | 0.282746 | − | 0.0918697i | ||||
\(405\) | 33.7858 | + | 29.7241i | 0.0834217 | + | 0.0733927i | ||||
\(406\) | −107.898 | + | 332.076i | −0.265759 | + | 0.817921i | ||||
\(407\) | 237.903 | − | 237.903i | 0.584529 | − | 0.584529i | ||||
\(408\) | −35.1689 | + | 17.9195i | −0.0861983 | + | 0.0439202i | ||||
\(409\) | 308.424 | + | 424.509i | 0.754093 | + | 1.03792i | 0.997682 | + | 0.0680417i | \(0.0216751\pi\) |
−0.243589 | + | 0.969878i | \(0.578325\pi\) | |||||||
\(410\) | 164.771 | + | 414.909i | 0.401882 | + | 1.01197i | ||||
\(411\) | 280.816 | + | 204.025i | 0.683250 | + | 0.496410i | ||||
\(412\) | 38.2604 | − | 241.566i | 0.0928650 | − | 0.586326i | ||||
\(413\) | 364.729 | + | 57.7674i | 0.883121 | + | 0.139873i | ||||
\(414\) | −4.35714 | + | 5.99709i | −0.0105245 | + | 0.0144857i | ||||
\(415\) | 32.1764 | + | 503.112i | 0.0775334 | + | 1.21232i | ||||
\(416\) | −0.483122 | + | 0.351009i | −0.00116135 | + | 0.000843772i | ||||
\(417\) | −175.061 | − | 343.577i | −0.419811 | − | 0.823926i | ||||
\(418\) | −45.0421 | − | 45.0421i | −0.107756 | − | 0.107756i | ||||
\(419\) | 87.5034 | + | 28.4316i | 0.208839 | + | 0.0678558i | 0.411568 | − | 0.911379i | \(-0.364981\pi\) |
−0.202730 | + | 0.979235i | \(0.564981\pi\) | |||||||
\(420\) | 91.7047 | − | 20.5982i | 0.218345 | − | 0.0490433i | ||||
\(421\) | 92.8058 | + | 285.627i | 0.220441 | + | 0.678448i | 0.998722 | + | 0.0505324i | \(0.0160918\pi\) |
−0.778281 | + | 0.627916i | \(0.783908\pi\) | |||||||
\(422\) | −1.49420 | − | 0.761334i | −0.00354076 | − | 0.00180411i | ||||
\(423\) | −31.4754 | − | 198.728i | −0.0744099 | − | 0.469805i | ||||
\(424\) | 176.460i | 0.416178i | ||||||||
\(425\) | 67.8374 | − | 189.657i | 0.159617 | − | 0.446253i | ||||
\(426\) | 38.0951 | 0.0894251 | ||||||||
\(427\) | 234.419 | − | 37.1283i | 0.548990 | − | 0.0869515i | ||||
\(428\) | 171.032 | − | 335.668i | 0.399606 | − | 0.784272i | ||||
\(429\) | 2.25678 | − | 0.733273i | 0.00526057 | − | 0.00170926i | ||||
\(430\) | −445.371 | + | 264.015i | −1.03575 | + | 0.613988i | ||||
\(431\) | −66.0338 | + | 203.231i | −0.153211 | + | 0.471534i | −0.997975 | − | 0.0636042i | \(-0.979740\pi\) |
0.844764 | + | 0.535138i | \(0.179740\pi\) | |||||||
\(432\) | 14.6969 | − | 14.6969i | 0.0340207 | − | 0.0340207i | ||||
\(433\) | 61.8453 | − | 31.5118i | 0.142830 | − | 0.0727755i | −0.381115 | − | 0.924528i | \(-0.624460\pi\) |
0.523945 | + | 0.851752i | \(0.324460\pi\) | |||||||
\(434\) | 50.7781 | + | 69.8901i | 0.117000 | + | 0.161037i | ||||
\(435\) | −332.908 | − | 210.786i | −0.765305 | − | 0.484566i | ||||
\(436\) | 236.912 | + | 172.126i | 0.543375 | + | 0.394785i | ||||
\(437\) | −0.948635 | + | 5.98945i | −0.00217079 | + | 0.0137058i | ||||
\(438\) | 251.967 | + | 39.9076i | 0.575266 | + | 0.0911132i | ||||
\(439\) | 77.6968 | − | 106.941i | 0.176986 | − | 0.243600i | −0.711303 | − | 0.702886i | \(-0.751895\pi\) |
0.888289 | + | 0.459286i | \(0.151895\pi\) | |||||||
\(440\) | 98.1811 | − | 155.063i | 0.223139 | − | 0.352417i | ||||
\(441\) | 47.4566 | − | 34.4792i | 0.107611 | − | 0.0781842i | ||||
\(442\) | −0.546083 | − | 1.07175i | −0.00123548 | − | 0.00242477i | ||||
\(443\) | 253.592 | + | 253.592i | 0.572441 | + | 0.572441i | 0.932810 | − | 0.360369i | \(-0.117349\pi\) |
−0.360369 | + | 0.932810i | \(0.617349\pi\) | |||||||
\(444\) | 85.4111 | + | 27.7517i | 0.192367 | + | 0.0625039i | ||||
\(445\) | 264.111 | + | 445.533i | 0.593507 | + | 1.00120i | ||||
\(446\) | 4.92158 | + | 15.1471i | 0.0110349 | + | 0.0339621i | ||||
\(447\) | 256.527 | + | 130.707i | 0.573887 | + | 0.292410i | ||||
\(448\) | −6.79112 | − | 42.8775i | −0.0151588 | − | 0.0957086i | ||||
\(449\) | − | 224.503i | − | 0.500006i | −0.968245 | − | 0.250003i | \(-0.919568\pi\) | ||
0.968245 | − | 0.250003i | \(-0.0804316\pi\) | |||||||
\(450\) | −3.11197 | + | 106.020i | −0.00691548 | + | 0.235601i | ||||
\(451\) | −819.343 | −1.81672 | ||||||||
\(452\) | 202.751 | − | 32.1126i | 0.448564 | − | 0.0710456i | ||||
\(453\) | 5.72606 | − | 11.2380i | 0.0126403 | − | 0.0248080i | ||||
\(454\) | 201.449 | − | 65.4548i | 0.443721 | − | 0.144174i | ||||
\(455\) | 0.627716 | + | 2.79464i | 0.00137960 | + | 0.00614206i | ||||
\(456\) | 5.25422 | − | 16.1708i | 0.0115224 | − | 0.0354623i | ||||
\(457\) | 62.5335 | − | 62.5335i | 0.136835 | − | 0.136835i | −0.635372 | − | 0.772206i | \(-0.719153\pi\) |
0.772206 | + | 0.635372i | \(0.219153\pi\) | |||||||
\(458\) | 55.7605 | − | 28.4114i | 0.121748 | − | 0.0620336i | ||||
\(459\) | 24.6078 | + | 33.8698i | 0.0536118 | + | 0.0737903i | ||||
\(460\) | −17.4365 | + | 1.11515i | −0.0379055 | + | 0.00242424i | ||||
\(461\) | −260.296 | − | 189.116i | −0.564634 | − | 0.410231i | 0.268518 | − | 0.963275i | \(-0.413466\pi\) |
−0.833152 | + | 0.553044i | \(0.813466\pi\) | |||||||
\(462\) | −26.9852 | + | 170.378i | −0.0584095 | + | 0.368783i | ||||
\(463\) | −103.803 | − | 16.4409i | −0.224198 | − | 0.0355094i | 0.0433249 | − | 0.999061i | \(-0.486205\pi\) |
−0.267522 | + | 0.963552i | \(0.586205\pi\) | |||||||
\(464\) | −106.973 | + | 147.236i | −0.230546 | + | 0.317319i | ||||
\(465\) | −90.6055 | + | 35.9819i | −0.194851 | + | 0.0773804i | ||||
\(466\) | −103.035 | + | 74.8595i | −0.221106 | + | 0.160643i | ||||
\(467\) | 9.37430 | + | 18.3981i | 0.0200735 | + | 0.0393964i | 0.900825 | − | 0.434181i | \(-0.142962\pi\) |
−0.880752 | + | 0.473578i | \(0.842962\pi\) | |||||||
\(468\) | 0.447879 | + | 0.447879i | 0.000957007 | + | 0.000957007i | ||||
\(469\) | −12.3653 | − | 4.01773i | −0.0263652 | − | 0.00856658i | ||||
\(470\) | 313.255 | − | 356.061i | 0.666500 | − | 0.757576i | ||||
\(471\) | −144.357 | − | 444.287i | −0.306491 | − | 0.943284i | ||||
\(472\) | 171.497 | + | 87.3822i | 0.363342 | + | 0.185132i | ||||
\(473\) | −148.649 | − | 938.530i | −0.314268 | − | 1.98421i | ||||
\(474\) | 81.2849i | 0.171487i | ||||||||
\(475\) | 37.1066 | + | 78.4334i | 0.0781192 | + | 0.165123i | ||||
\(476\) | 87.4423 | 0.183702 | ||||||||
\(477\) | 184.859 | − | 29.2789i | 0.387546 | − | 0.0613812i | ||||
\(478\) | −234.858 | + | 460.936i | −0.491336 | + | 0.964301i | ||||
\(479\) | 475.382 | − | 154.461i | 0.992447 | − | 0.322466i | 0.232604 | − | 0.972572i | \(-0.425275\pi\) |
0.759844 | + | 0.650106i | \(0.225275\pi\) | |||||||
\(480\) | 48.7771 | + | 4.55982i | 0.101619 | + | 0.00949963i | ||||
\(481\) | −0.845715 | + | 2.60284i | −0.00175824 | + | 0.00541132i | ||||
\(482\) | 472.327 | − | 472.327i | 0.979932 | − | 0.979932i | ||||
\(483\) | 14.6321 | − | 7.45544i | 0.0302943 | − | 0.0154357i | ||||
\(484\) | 55.7468 | + | 76.7288i | 0.115179 | + | 0.158531i | ||||
\(485\) | −262.034 | + | 217.231i | −0.540276 | + | 0.447899i | ||||
\(486\) | −17.8351 | − | 12.9580i | −0.0366978 | − | 0.0266625i | ||||
\(487\) | −14.4874 | + | 91.4696i | −0.0297482 | + | 0.187823i | −0.998088 | − | 0.0618144i | \(-0.980311\pi\) |
0.968339 | + | 0.249637i | \(0.0803113\pi\) | |||||||
\(488\) | 122.185 | + | 19.3522i | 0.250379 | + | 0.0396562i | ||||
\(489\) | −149.175 | + | 205.322i | −0.305062 | + | 0.419882i | ||||
\(490\) | 133.954 | + | 34.2456i | 0.273375 | + | 0.0698890i | ||||
\(491\) | −30.9440 | + | 22.4821i | −0.0630224 | + | 0.0457885i | −0.618850 | − | 0.785509i | \(-0.712401\pi\) |
0.555828 | + | 0.831297i | \(0.312401\pi\) | |||||||
\(492\) | −99.2899 | − | 194.867i | −0.201809 | − | 0.396072i | ||||
\(493\) | −259.212 | − | 259.212i | −0.525784 | − | 0.525784i | ||||
\(494\) | 0.492795 | + | 0.160119i | 0.000997560 | + | 0.000324127i | ||||
\(495\) | −178.735 | − | 77.1260i | −0.361081 | − | 0.155810i | ||||
\(496\) | 13.9145 | + | 42.8243i | 0.0280533 | + | 0.0863393i | ||||
\(497\) | −75.1958 | − | 38.3142i | −0.151299 | − | 0.0770909i | ||||
\(498\) | −38.6357 | − | 243.936i | −0.0775817 | − | 0.489832i | ||||
\(499\) | 763.633i | 1.53033i | 0.643836 | + | 0.765163i | \(0.277342\pi\) | ||||
−0.643836 | + | 0.765163i | \(0.722658\pi\) | |||||||
\(500\) | −197.062 | + | 153.840i | −0.394123 | + | 0.307680i | ||||
\(501\) | −390.995 | −0.780429 | ||||||||
\(502\) | 139.707 | − | 22.1273i | 0.278300 | − | 0.0440784i | ||||
\(503\) | −182.277 | + | 357.739i | −0.362380 | + | 0.711211i | −0.998158 | − | 0.0606608i | \(-0.980679\pi\) |
0.635778 | + | 0.771872i | \(0.280679\pi\) | |||||||
\(504\) | −43.7917 | + | 14.2288i | −0.0868883 | + | 0.0282317i | ||||
\(505\) | 118.966 | − | 275.697i | 0.235576 | − | 0.545935i | ||||
\(506\) | 9.90928 | − | 30.4976i | 0.0195836 | − | 0.0602720i | ||||
\(507\) | 206.968 | − | 206.968i | 0.408221 | − | 0.408221i | ||||
\(508\) | 126.049 | − | 64.2254i | 0.248129 | − | 0.126428i | ||||
\(509\) | 486.285 | + | 669.314i | 0.955373 | + | 1.31496i | 0.949099 | + | 0.314978i | \(0.101997\pi\) |
0.00627400 | + | 0.999980i | \(0.498003\pi\) | |||||||
\(510\) | −24.4411 | + | 95.6027i | −0.0479237 | + | 0.187456i | ||||
\(511\) | −457.219 | − | 332.189i | −0.894753 | − | 0.650076i | ||||
\(512\) | 3.53971 | − | 22.3488i | 0.00691349 | − | 0.0436501i | ||||
\(513\) | −17.8124 | − | 2.82120i | −0.0347220 | − | 0.00549942i | ||||
\(514\) | 152.486 | − | 209.879i | 0.296666 | − | 0.408325i | ||||
\(515\) | −390.237 | − | 470.722i | −0.757742 | − | 0.914023i | ||||
\(516\) | 205.201 | − | 149.087i | 0.397675 | − | 0.288928i | ||||
\(517\) | 395.150 | + | 775.526i | 0.764314 | + | 1.50005i | ||||
\(518\) | −140.681 | − | 140.681i | −0.271585 | − | 0.271585i | ||||
\(519\) | 59.6444 | + | 19.3796i | 0.114922 | + | 0.0373403i | ||||
\(520\) | −0.138957 | + | 1.48645i | −0.000267226 | + | 0.00285856i | ||||
\(521\) | 225.602 | + | 694.332i | 0.433017 | + | 1.33269i | 0.895105 | + | 0.445856i | \(0.147101\pi\) |
−0.462088 | + | 0.886834i | \(0.652899\pi\) | |||||||
\(522\) | 171.994 | + | 87.6355i | 0.329491 | + | 0.167884i | ||||
\(523\) | 49.8292 | + | 314.609i | 0.0952756 | + | 0.601547i | 0.988416 | + | 0.151769i | \(0.0484969\pi\) |
−0.893140 | + | 0.449778i | \(0.851503\pi\) | |||||||
\(524\) | − | 221.541i | − | 0.422789i | ||||||
\(525\) | 112.773 | − | 206.143i | 0.214805 | − | 0.392654i | ||||
\(526\) | 650.576 | 1.23684 | ||||||||
\(527\) | −89.5810 | + | 14.1882i | −0.169983 | + | 0.0269227i | ||||
\(528\) | −40.8193 | + | 80.1124i | −0.0773093 | + | 0.151728i | ||||
\(529\) | 500.206 | − | 162.527i | 0.945568 | − | 0.307234i | ||||
\(530\) | 331.213 | + | 291.394i | 0.624930 | + | 0.549800i | ||||
\(531\) | 63.0863 | − | 194.160i | 0.118807 | − | 0.365649i | ||||
\(532\) | −26.6351 | + | 26.6351i | −0.0500660 | + | 0.0500660i | ||||
\(533\) | 5.93845 | − | 3.02579i | 0.0111416 | − | 0.00567691i | ||||
\(534\) | −149.141 | − | 205.275i | −0.279291 | − | 0.384410i | ||||
\(535\) | −347.615 | − | 875.326i | −0.649748 | − | 1.63612i | ||||
\(536\) | −5.48254 | − | 3.98330i | −0.0102286 | − | 0.00743152i | ||||
\(537\) | 75.7129 | − | 478.033i | 0.140992 | − | 0.890191i | ||||
\(538\) | −205.965 | − | 32.6217i | −0.382835 | − | 0.0606351i | ||||
\(539\) | −149.154 | + | 205.293i | −0.276723 | + | 0.380877i | ||||
\(540\) | −3.31641 | − | 51.8556i | −0.00614150 | − | 0.0960289i | ||||
\(541\) | −580.484 | + | 421.746i | −1.07298 | + | 0.779568i | −0.976446 | − | 0.215761i | \(-0.930777\pi\) |
−0.0965371 | + | 0.995329i | \(0.530777\pi\) | |||||||
\(542\) | −120.825 | − | 237.133i | −0.222925 | − | 0.437515i | ||||
\(543\) | −145.254 | − | 145.254i | −0.267503 | − | 0.267503i | ||||
\(544\) | 43.3465 | + | 14.0841i | 0.0796810 | + | 0.0258899i | ||||
\(545\) | 714.300 | − | 160.442i | 1.31064 | − | 0.294389i | ||||
\(546\) | −0.433612 | − | 1.33452i | −0.000794162 | − | 0.00244418i | ||||
\(547\) | 547.263 | + | 278.845i | 1.00048 | + | 0.509771i | 0.875928 | − | 0.482442i | \(-0.160250\pi\) |
0.124554 | + | 0.992213i | \(0.460250\pi\) | |||||||
\(548\) | −62.6997 | − | 395.871i | −0.114416 | − | 0.722392i | ||||
\(549\) | − | 131.212i | − | 0.239003i | ||||||
\(550\) | −128.922 | − | 440.347i | −0.234405 | − | 0.800630i | ||||
\(551\) | 157.913 | 0.286593 | ||||||||
\(552\) | 8.45420 | − | 1.33901i | 0.0153156 | − | 0.00242575i | ||||
\(553\) | 81.7523 | − | 160.448i | 0.147834 | − | 0.290141i | ||||
\(554\) | −230.685 | + | 74.9540i | −0.416398 | + | 0.135296i | ||||
\(555\) | 193.132 | − | 114.488i | 0.347986 | − | 0.206285i | ||||
\(556\) | −137.593 | + | 423.467i | −0.247469 | + | 0.761631i | ||||
\(557\) | −110.327 | + | 110.327i | −0.198074 | + | 0.198074i | −0.799174 | − | 0.601100i | \(-0.794729\pi\) |
0.601100 | + | 0.799174i | \(0.294729\pi\) | |||||||
\(558\) | 42.5540 | − | 21.6824i | 0.0762617 | − | 0.0388573i | ||||
\(559\) | 4.54332 | + | 6.25335i | 0.00812759 | + | 0.0111867i | ||||
\(560\) | −91.6950 | − | 58.0582i | −0.163741 | − | 0.103675i | ||||
\(561\) | −146.517 | − | 106.451i | −0.261172 | − | 0.189752i | ||||
\(562\) | 108.575 | − | 685.513i | 0.193193 | − | 1.21977i | ||||
\(563\) | −210.554 | − | 33.3485i | −0.373986 | − | 0.0592336i | −0.0333879 | − | 0.999442i | \(-0.510630\pi\) |
−0.340598 | + | 0.940209i | \(0.610630\pi\) | |||||||
\(564\) | −136.561 | + | 187.960i | −0.242129 | + | 0.333262i | ||||
\(565\) | 274.535 | − | 433.590i | 0.485903 | − | 0.767416i | ||||
\(566\) | −225.591 | + | 163.902i | −0.398571 | + | 0.289579i | ||||
\(567\) | 22.1722 | + | 43.5154i | 0.0391044 | + | 0.0767467i | ||||
\(568\) | −31.1045 | − | 31.1045i | −0.0547615 | − | 0.0547615i | ||||
\(569\) | 580.070 | + | 188.476i | 1.01946 | + | 0.331241i | 0.770613 | − | 0.637303i | \(-0.219950\pi\) |
0.248842 | + | 0.968544i | \(0.419950\pi\) | |||||||
\(570\) | −21.6760 | − | 36.5656i | −0.0380280 | − | 0.0641501i | ||||
\(571\) | 127.570 | + | 392.619i | 0.223414 | + | 0.687598i | 0.998449 | + | 0.0556793i | \(0.0177324\pi\) |
−0.775034 | + | 0.631919i | \(0.782268\pi\) | |||||||
\(572\) | −2.44137 | − | 1.24394i | −0.00426813 | − | 0.00217472i | ||||
\(573\) | 89.9706 | + | 568.052i | 0.157017 | + | 0.991364i | ||||
\(574\) | 484.509i | 0.844092i | ||||||||
\(575\) | −26.7005 | + | 34.5697i | −0.0464356 | + | 0.0601212i | ||||
\(576\) | −24.0000 | −0.0416667 | ||||||||
\(577\) | −294.314 | + | 46.6148i | −0.510077 | + | 0.0807883i | −0.406168 | − | 0.913799i | \(-0.633135\pi\) |
−0.103909 | + | 0.994587i | \(0.533135\pi\) | |||||||
\(578\) | 143.871 | − | 282.364i | 0.248913 | − | 0.488518i | ||||
\(579\) | 366.199 | − | 118.985i | 0.632469 | − | 0.205502i | ||||
\(580\) | 99.7118 | + | 443.924i | 0.171917 | + | 0.765387i | ||||
\(581\) | −169.076 | + | 520.363i | −0.291009 | + | 0.895633i | ||||
\(582\) | 117.907 | − | 117.907i | 0.202590 | − | 0.202590i | ||||
\(583\) | −721.405 | + | 367.574i | −1.23740 | + | 0.630488i | ||||
\(584\) | −173.145 | − | 238.314i | −0.296482 | − | 0.408072i | ||||
\(585\) | 1.58026 | − | 0.101065i | 0.00270131 | − | 0.000172761i | ||||
\(586\) | 208.542 | + | 151.515i | 0.355874 | + | 0.258558i | ||||
\(587\) | −141.441 | + | 893.022i | −0.240955 | + | 1.52133i | 0.509535 | + | 0.860450i | \(0.329818\pi\) |
−0.750490 | + | 0.660882i | \(0.770182\pi\) | |||||||
\(588\) | −66.9003 | − | 10.5960i | −0.113776 | − | 0.0180204i | ||||
\(589\) | 22.9648 | − | 31.6083i | 0.0389895 | − | 0.0536644i | ||||
\(590\) | 447.215 | − | 177.601i | 0.757991 | − | 0.301019i | ||||
\(591\) | 406.209 | − | 295.128i | 0.687324 | − | 0.499370i | ||||
\(592\) | −47.0786 | − | 92.3970i | −0.0795247 | − | 0.156076i | ||||
\(593\) | −821.404 | − | 821.404i | −1.38517 | − | 1.38517i | −0.835159 | − | 0.550008i | \(-0.814624\pi\) |
−0.550008 | − | 0.835159i | \(-0.685376\pi\) | |||||||
\(594\) | 90.6988 | + | 29.4698i | 0.152692 | + | 0.0496125i | ||||
\(595\) | 144.397 | − | 164.128i | 0.242683 | − | 0.275846i | ||||
\(596\) | −102.732 | − | 316.176i | −0.172369 | − | 0.530496i | ||||
\(597\) | 509.498 | + | 259.602i | 0.853431 | + | 0.434845i | ||||
\(598\) | 0.0408055 | + | 0.257636i | 6.82366e−5 | + | 0.000430829i | ||||
\(599\) | 260.320i | 0.434590i | 0.976106 | + | 0.217295i | \(0.0697234\pi\) | ||||
−0.976106 | + | 0.217295i | \(0.930277\pi\) | |||||||
\(600\) | 89.1062 | − | 84.0243i | 0.148510 | − | 0.140041i | ||||
\(601\) | 94.4332 | 0.157127 | 0.0785634 | − | 0.996909i | \(-0.474967\pi\) | ||||
0.0785634 | + | 0.996909i | \(0.474967\pi\) | |||||||
\(602\) | −554.989 | + | 87.9016i | −0.921908 | + | 0.146016i | ||||
\(603\) | −3.26322 | + | 6.40444i | −0.00541165 | + | 0.0106210i | ||||
\(604\) | −13.8511 | + | 4.50050i | −0.0229323 | + | 0.00745115i | ||||
\(605\) | 236.076 | + | 22.0690i | 0.390208 | + | 0.0364777i | ||||
\(606\) | −45.4568 | + | 139.902i | −0.0750113 | + | 0.230861i | ||||
\(607\) | −300.878 | + | 300.878i | −0.495680 | + | 0.495680i | −0.910090 | − | 0.414410i | \(-0.863988\pi\) |
0.414410 | + | 0.910090i | \(0.363988\pi\) | |||||||
\(608\) | −17.4935 | + | 8.91337i | −0.0287722 | + | 0.0146601i | ||||
\(609\) | −251.360 | − | 345.967i | −0.412741 | − | 0.568090i | ||||
\(610\) | 238.093 | − | 197.383i | 0.390316 | − | 0.323579i | ||||
\(611\) | −5.72795 | − | 4.16160i | −0.00937472 | − | 0.00681113i | ||||
\(612\) | 7.56234 | − | 47.7467i | 0.0123568 | − | 0.0780175i | ||||
\(613\) | 481.056 | + | 76.1918i | 0.784757 | + | 0.124293i | 0.535939 | − | 0.844257i | \(-0.319958\pi\) |
0.248818 | + | 0.968550i | \(0.419958\pi\) | |||||||
\(614\) | −129.730 | + | 178.558i | −0.211287 | + | 0.290812i | ||||
\(615\) | −529.725 | − | 135.425i | −0.861341 | − | 0.220204i | ||||
\(616\) | 161.146 | − | 117.080i | 0.261601 | − | 0.190064i | ||||
\(617\) | −349.395 | − | 685.727i | −0.566281 | − | 1.11139i | −0.979629 | − | 0.200815i | \(-0.935641\pi\) |
0.413348 | − | 0.910573i | \(-0.364359\pi\) | |||||||
\(618\) | 211.810 | + | 211.810i | 0.342735 | + | 0.342735i | ||||
\(619\) | −1153.38 | − | 374.754i | −1.86329 | − | 0.605419i | −0.993760 | − | 0.111536i | \(-0.964423\pi\) |
−0.869528 | − | 0.493883i | \(-0.835577\pi\) | |||||||
\(620\) | 103.358 | + | 44.6000i | 0.166707 | + | 0.0719355i | ||||
\(621\) | −2.80550 | − | 8.63446i | −0.00451772 | − | 0.0139041i | ||||
\(622\) | 29.4415 | + | 15.0012i | 0.0473336 | + | 0.0241177i | ||||
\(623\) | 87.9336 | + | 555.191i | 0.141145 | + | 0.891157i | ||||
\(624\) | − | 0.731384i | − | 0.00117209i | ||||||
\(625\) | −36.6591 | + | 623.924i | −0.0586545 | + | 0.998278i | ||||
\(626\) | 749.088 | 1.19663 | ||||||||
\(627\) | 77.0546 | − | 12.2043i | 0.122894 | − | 0.0194645i | ||||
\(628\) | −244.891 | + | 480.626i | −0.389954 | + | 0.765328i | ||||
\(629\) | 198.653 | − | 64.5464i | 0.315824 | − | 0.102617i | ||||
\(630\) | −45.6075 | + | 105.693i | −0.0723929 | + | 0.167767i | ||||
\(631\) | 382.691 | − | 1177.80i | 0.606484 | − | 1.86656i | 0.120233 | − | 0.992746i | \(-0.461636\pi\) |
0.486251 | − | 0.873819i | \(-0.338364\pi\) | |||||||
\(632\) | 66.3688 | − | 66.3688i | 0.105014 | − | 0.105014i | ||||
\(633\) | 1.83002 | − | 0.932440i | 0.00289102 | − | 0.00147305i | ||||
\(634\) | −20.2783 | − | 27.9107i | −0.0319847 | − | 0.0440232i | ||||
\(635\) | 87.5996 | − | 342.651i | 0.137952 | − | 0.539608i | ||||
\(636\) | −174.843 | − | 127.031i | −0.274911 | − | 0.199734i | ||||
\(637\) | 0.322905 | − | 2.03874i | 0.000506915 | − | 0.00320054i | ||||
\(638\) | −824.765 | − | 130.630i | −1.29273 | − | 0.204749i | ||||
\(639\) | −27.4242 | + | 37.7461i | −0.0429173 | + | 0.0590706i | ||||
\(640\) | −36.1033 | − | 43.5494i | −0.0564114 | − | 0.0680460i | ||||
\(641\) | −602.958 | + | 438.075i | −0.940653 | + | 0.683424i | −0.948578 | − | 0.316544i | \(-0.897477\pi\) |
0.00792497 | + | 0.999969i | \(0.497477\pi\) | |||||||
\(642\) | 209.470 | + | 411.108i | 0.326277 | + | 0.640355i | ||||
\(643\) | 326.069 | + | 326.069i | 0.507105 | + | 0.507105i | 0.913637 | − | 0.406531i | \(-0.133262\pi\) |
−0.406531 | + | 0.913637i | \(0.633262\pi\) | |||||||
\(644\) | −18.0344 | − | 5.85974i | −0.0280038 | − | 0.00909897i | ||||
\(645\) | 59.0205 | − | 631.352i | 0.0915047 | − | 0.978840i | ||||
\(646\) | −12.2205 | − | 37.6109i | −0.0189172 | − | 0.0582212i | ||||
\(647\) | 87.7162 | + | 44.6936i | 0.135574 | + | 0.0690783i | 0.520462 | − | 0.853885i | \(-0.325760\pi\) |
−0.384888 | + | 0.922963i | \(0.625760\pi\) | |||||||
\(648\) | 3.98217 | + | 25.1424i | 0.00614533 | + | 0.0388001i | ||||
\(649\) | 883.140i | 1.36077i | ||||||||
\(650\) | 2.56058 | + | 2.71545i | 0.00393936 | + | 0.00417761i | ||||
\(651\) | −105.804 | −0.162526 | ||||||||
\(652\) | 289.446 | − | 45.8437i | 0.443936 | − | 0.0703125i | ||||
\(653\) | −255.147 | + | 500.754i | −0.390731 | + | 0.766852i | −0.999652 | − | 0.0263786i | \(-0.991602\pi\) |
0.608921 | + | 0.793231i | \(0.291602\pi\) | |||||||
\(654\) | −341.099 | + | 110.830i | −0.521558 | + | 0.169465i | ||||
\(655\) | −415.831 | − | 365.839i | −0.634856 | − | 0.558533i | ||||
\(656\) | −78.0387 | + | 240.178i | −0.118961 | + | 0.366126i | ||||
\(657\) | −220.929 | + | 220.929i | −0.336270 | + | 0.336270i | ||||
\(658\) | 458.598 | − | 233.667i | 0.696958 | − | 0.355118i | ||||
\(659\) | −571.682 | − | 786.853i | −0.867499 | − | 1.19401i | −0.979729 | − | 0.200328i | \(-0.935799\pi\) |
0.112230 | − | 0.993682i | \(-0.464201\pi\) | |||||||
\(660\) | 82.9637 | + | 208.910i | 0.125703 | + | 0.316530i | ||||
\(661\) | −20.3488 | − | 14.7843i | −0.0307849 | − | 0.0223665i | 0.572286 | − | 0.820054i | \(-0.306057\pi\) |
−0.603071 | + | 0.797687i | \(0.706057\pi\) | |||||||
\(662\) | 2.12486 | − | 13.4159i | 0.00320976 | − | 0.0202656i | ||||
\(663\) | 1.45505 | + | 0.230457i | 0.00219464 | + | 0.000347597i | ||||
\(664\) | −167.627 | + | 230.719i | −0.252451 | + | 0.347468i | ||||
\(665\) | 6.01029 | + | 93.9773i | 0.00903803 | + | 0.141319i | ||||
\(666\) | −88.9838 | + | 64.6505i | −0.133609 | + | 0.0970729i | ||||
\(667\) | 36.0903 | + | 70.8312i | 0.0541084 | + | 0.106194i | ||||
\(668\) | 319.246 | + | 319.246i | 0.477913 | + | 0.477913i | ||||
\(669\) | −18.5513 | − | 6.02768i | −0.0277299 | − | 0.00900999i | ||||
\(670\) | −16.5301 | + | 3.71290i | −0.0246718 | + | 0.00554164i | ||||
\(671\) | 175.402 | + | 539.831i | 0.261404 | + | 0.804518i | ||||
\(672\) | 47.3735 | + | 24.1380i | 0.0704963 | + | 0.0359197i | ||||
\(673\) | −43.2840 | − | 273.285i | −0.0643151 | − | 0.406069i | −0.998752 | − | 0.0499411i | \(-0.984097\pi\) |
0.934437 | − | 0.356128i | \(-0.115903\pi\) | |||||||
\(674\) | − | 330.141i | − | 0.489824i | ||||||
\(675\) | −102.809 | − | 79.4061i | −0.152309 | − | 0.117639i | ||||
\(676\) | −337.978 | −0.499967 | ||||||||
\(677\) | −1008.64 | + | 159.752i | −1.48986 | + | 0.235971i | −0.847650 | − | 0.530556i | \(-0.821983\pi\) |
−0.642212 | + | 0.766527i | \(0.721983\pi\) | |||||||
\(678\) | −114.139 | + | 224.011i | −0.168347 | + | 0.330400i | ||||
\(679\) | −351.322 | + | 114.151i | −0.517411 | + | 0.168117i | ||||
\(680\) | 98.0154 | − | 58.1032i | 0.144140 | − | 0.0854460i | ||||
\(681\) | −80.1655 | + | 246.724i | −0.117717 | + | 0.362297i | ||||
\(682\) | −146.090 | + | 146.090i | −0.214209 | + | 0.214209i | ||||
\(683\) | 118.823 | − | 60.5433i | 0.173972 | − | 0.0886432i | −0.364836 | − | 0.931072i | \(-0.618875\pi\) |
0.538808 | + | 0.842429i | \(0.318875\pi\) | |||||||
\(684\) | 12.2402 | + | 16.8472i | 0.0178951 | + | 0.0246305i | ||||
\(685\) | −846.583 | − | 536.029i | −1.23589 | − | 0.782524i | ||||
\(686\) | 425.617 | + | 309.229i | 0.620434 | + | 0.450771i | ||||
\(687\) | −11.9901 | + | 75.7027i | −0.0174529 | + | 0.110193i | ||||
\(688\) | −289.275 | − | 45.8166i | −0.420457 | − | 0.0665939i | ||||
\(689\) | 3.87118 | − | 5.32823i | 0.00561855 | − | 0.00773327i | ||||
\(690\) | 11.4474 | − | 18.0796i | 0.0165904 | − | 0.0262023i | ||||
\(691\) | 795.522 | − | 577.980i | 1.15126 | − | 0.836440i | 0.162613 | − | 0.986690i | \(-0.448008\pi\) |
0.988648 | + | 0.150250i | \(0.0480077\pi\) | |||||||
\(692\) | −32.8760 | − | 64.5228i | −0.0475087 | − | 0.0932411i | ||||
\(693\) | −149.391 | − | 149.391i | −0.215571 | − | 0.215571i | ||||
\(694\) | −211.868 | − | 68.8402i | −0.305286 | − | 0.0991934i | ||||
\(695\) | 567.631 | + | 957.546i | 0.816735 | + | 1.37776i | ||||
\(696\) | −68.8787 | − | 211.987i | −0.0989637 | − | 0.304579i | ||||
\(697\) | −453.232 | − | 230.933i | −0.650262 | − | 0.331325i | ||||
\(698\) | −0.761504 | − | 4.80795i | −0.00109098 | − | 0.00688818i | ||||
\(699\) | − | 155.982i | − | 0.223150i | ||||||
\(700\) | −260.394 | + | 76.2368i | −0.371991 | + | 0.108910i | ||||
\(701\) | −333.026 | −0.475072 | −0.237536 | − | 0.971379i | \(-0.576340\pi\) | ||||
−0.237536 | + | 0.971379i | \(0.576340\pi\) | |||||||
\(702\) | −0.766199 | + | 0.121354i | −0.00109145 | + | 0.000172869i | ||||
\(703\) | −40.8492 | + | 80.1712i | −0.0581070 | + | 0.114041i | ||||
\(704\) | 98.7403 | − | 32.0827i | 0.140256 | − | 0.0455720i | ||||
\(705\) | 127.291 | + | 566.709i | 0.180555 | + | 0.803842i | ||||
\(706\) | 41.1543 | − | 126.660i | 0.0582922 | − | 0.179405i | ||||
\(707\) | 230.433 | − | 230.433i | 0.325931 | − | 0.325931i | ||||
\(708\) | −210.040 | + | 107.021i | −0.296667 | + | 0.151159i | ||||
\(709\) | 393.674 | + | 541.845i | 0.555252 | + | 0.764239i | 0.990713 | − | 0.135969i | \(-0.0434147\pi\) |
−0.435461 | + | 0.900208i | \(0.643415\pi\) | |||||||
\(710\) | −109.747 | + | 7.01883i | −0.154573 | + | 0.00988568i | ||||
\(711\) | −80.5403 | − | 58.5159i | −0.113277 | − | 0.0823009i | ||||
\(712\) | −45.8332 | + | 289.380i | −0.0643725 | + | 0.406432i | ||||
\(713\) | 19.4263 | + | 3.07683i | 0.0272459 | + | 0.00431532i | ||||
\(714\) | −62.9486 | + | 86.6413i | −0.0881633 | + | 0.121346i | ||||
\(715\) | −6.36639 | + | 2.52826i | −0.00890404 | + | 0.00353603i | ||||
\(716\) | −452.131 | + | 328.493i | −0.631469 | + | 0.458789i | ||||
\(717\) | −287.642 | − | 564.529i | −0.401174 | − | 0.787348i | ||||
\(718\) | 55.5927 | + | 55.5927i | 0.0774271 | + | 0.0774271i | ||||
\(719\) | 470.195 | + | 152.775i | 0.653956 | + | 0.212483i | 0.617158 | − | 0.786839i | \(-0.288284\pi\) |
0.0367985 | + | 0.999323i | \(0.488284\pi\) | |||||||
\(720\) | −39.6321 | + | 45.0477i | −0.0550445 | + | 0.0625663i | ||||
\(721\) | −205.063 | − | 631.120i | −0.284415 | − | 0.875340i | ||||
\(722\) | −439.708 | − | 224.042i | −0.609014 | − | 0.310308i | ||||
\(723\) | 127.978 | + | 808.023i | 0.177010 | + | 1.11760i | ||||
\(724\) | 237.199i | 0.327623i | ||||||||
\(725\) | 997.899 | + | 545.910i | 1.37641 | + | 0.752980i | ||||
\(726\) | −116.157 | −0.159996 | ||||||||
\(727\) | 990.760 | − | 156.921i | 1.36281 | − | 0.215847i | 0.568159 | − | 0.822919i | \(-0.307656\pi\) |
0.794647 | + | 0.607072i | \(0.207656\pi\) | |||||||
\(728\) | −0.735589 | + | 1.44368i | −0.00101043 | + | 0.00198307i | ||||
\(729\) | 25.6785 | − | 8.34346i | 0.0352243 | − | 0.0114451i | ||||
\(730\) | −733.234 | − | 68.5448i | −1.00443 | − | 0.0938970i | ||||
\(731\) | 182.299 | − | 561.060i | 0.249384 | − | 0.767524i | ||||
\(732\) | −107.134 | + | 107.134i | −0.146359 | + | 0.146359i | ||||
\(733\) | 358.456 | − | 182.643i | 0.489026 | − | 0.249171i | −0.192048 | − | 0.981385i | \(-0.561513\pi\) |
0.681074 | + | 0.732214i | \(0.261513\pi\) | |||||||
\(734\) | 103.613 | + | 142.611i | 0.141162 | + | 0.194293i | ||||
\(735\) | −130.363 | + | 108.074i | −0.177365 | + | 0.147039i | ||||
\(736\) | −7.99612 | − | 5.80952i | −0.0108643 | − | 0.00789337i | ||||
\(737\) | 4.86418 | − | 30.7112i | 0.00659997 | − | 0.0416706i | ||||
\(738\) | 264.560 | + | 41.9021i | 0.358482 | + | 0.0567780i | ||||
\(739\) | 632.639 | − | 870.754i | 0.856075 | − | 1.17829i | −0.126416 | − | 0.991977i | \(-0.540347\pi\) |
0.982491 | − | 0.186309i | \(-0.0596525\pi\) | |||||||
\(740\) | −251.171 | − | 64.2125i | −0.339420 | − | 0.0867736i | ||||
\(741\) | −0.513408 | + | 0.373013i | −0.000692859 | + | 0.000503391i | ||||
\(742\) | 217.361 | + | 426.595i | 0.292939 | + | 0.574925i | ||||
\(743\) | −693.867 | − | 693.867i | −0.933872 | − | 0.933872i | 0.0640733 | − | 0.997945i | \(-0.479591\pi\) |
−0.997945 | + | 0.0640733i | \(0.979591\pi\) | |||||||
\(744\) | −52.4488 | − | 17.0417i | −0.0704957 | − | 0.0229054i | ||||
\(745\) | −763.103 | − | 329.286i | −1.02430 | − | 0.441995i | ||||
\(746\) | −212.884 | − | 655.189i | −0.285367 | − | 0.878270i | ||||
\(747\) | 269.515 | + | 137.325i | 0.360796 | + | 0.183835i | ||||
\(748\) | 32.7140 | + | 206.548i | 0.0437352 | + | 0.276133i | ||||
\(749\) | − | 1022.16i | − | 1.36470i | ||||||
\(750\) | −10.5686 | − | 306.004i | −0.0140914 | − | 0.408005i | ||||
\(751\) | 937.116 | 1.24782 | 0.623912 | − | 0.781494i | \(-0.285542\pi\) | ||||
0.623912 | + | 0.781494i | \(0.285542\pi\) | |||||||
\(752\) | 264.970 | − | 41.9672i | 0.352354 | − | 0.0558074i | ||||
\(753\) | −78.6483 | + | 154.356i | −0.104447 | + | 0.204988i | ||||
\(754\) | 6.46015 | − | 2.09903i | 0.00856784 | − | 0.00278386i | ||||
\(755\) | −14.4254 | + | 33.4302i | −0.0191066 | + | 0.0442784i | ||||
\(756\) | 17.4266 | − | 53.6336i | 0.0230511 | − | 0.0709440i | ||||
\(757\) | −862.862 | + | 862.862i | −1.13984 | + | 1.13984i | −0.151366 | + | 0.988478i | \(0.548367\pi\) |
−0.988478 | + | 0.151366i | \(0.951633\pi\) | |||||||
\(758\) | 28.9764 | − | 14.7642i | 0.0382275 | − | 0.0194779i | ||||
\(759\) | 23.0847 | + | 31.7734i | 0.0304146 | + | 0.0418621i | ||||
\(760\) | −12.1573 | + | 47.5540i | −0.0159965 | + | 0.0625711i | ||||
\(761\) | 231.102 | + | 167.905i | 0.303682 | + | 0.220638i | 0.729181 | − | 0.684321i | \(-0.239901\pi\) |
−0.425499 | + | 0.904959i | \(0.639901\pi\) | |||||||
\(762\) | −27.1043 | + | 171.130i | −0.0355700 | + | 0.224580i | ||||
\(763\) | 784.762 | + | 124.294i | 1.02852 | + | 0.162902i | ||||
\(764\) | 390.352 | − | 537.273i | 0.510931 | − | 0.703237i | ||||
\(765\) | −77.1321 | − | 93.0403i | −0.100826 | − | 0.121621i | ||||
\(766\) | −731.562 | + | 531.511i | −0.955042 | + | 0.693878i | ||||
\(767\) | −3.26139 | − | 6.40084i | −0.00425214 | − | 0.00834529i | ||||
\(768\) | 19.5959 | + | 19.5959i | 0.0255155 | + | 0.0255155i | ||||
\(769\) | −1283.93 | − | 417.175i | −1.66961 | − | 0.542490i | −0.686761 | − | 0.726883i | \(-0.740968\pi\) |
−0.982853 | + | 0.184393i | \(0.940968\pi\) | |||||||
\(770\) | 46.3494 | − | 495.807i | 0.0601941 | − | 0.643906i | ||||
\(771\) | 98.1838 | + | 302.179i | 0.127346 | + | 0.391931i | ||||
\(772\) | −396.152 | − | 201.849i | −0.513150 | − | 0.261463i | ||||
\(773\) | 52.5151 | + | 331.567i | 0.0679367 | + | 0.428935i | 0.998091 | + | 0.0617657i | \(0.0196732\pi\) |
−0.930154 | + | 0.367170i | \(0.880327\pi\) | |||||||
\(774\) | 310.647i | 0.401352i | ||||||||
\(775\) | 254.393 | − | 120.353i | 0.328249 | − | 0.155294i | ||||
\(776\) | −192.542 | −0.248121 | ||||||||
\(777\) | 240.667 | − | 38.1179i | 0.309739 | − | 0.0490578i | ||||
\(778\) | 264.652 | − | 519.409i | 0.340170 | − | 0.667621i | ||||
\(779\) | 208.398 | − | 67.7127i | 0.267520 | − | 0.0869226i | ||||
\(780\) | −1.37280 | − | 1.20776i | −0.00176000 | − | 0.00154841i | ||||
\(781\) | 62.3698 | − | 191.954i | 0.0798589 | − | 0.245780i | ||||
\(782\) | 14.0773 | − | 14.0773i | 0.0180017 | − | 0.0180017i | ||||
\(783\) | −210.649 | + | 107.331i | −0.269028 | + | 0.137077i | ||||
\(784\) | 45.9723 | + | 63.2755i | 0.0586381 | + | 0.0807085i | ||||
\(785\) | 497.732 | + | 1253.33i | 0.634054 | + | 1.59660i | ||||
\(786\) | 219.512 | + | 159.485i | 0.279277 | + | 0.202907i | ||||
\(787\) | 233.750 | − | 1475.84i | 0.297014 | − | 1.87527i | −0.161926 | − | 0.986803i | \(-0.551770\pi\) |
0.458939 | − | 0.888468i | \(-0.348230\pi\) | |||||||
\(788\) | −572.639 | − | 90.6971i | −0.726699 | − | 0.115098i | ||||
\(789\) | −468.341 | + | 644.617i | −0.593589 | + | 0.817005i | ||||
\(790\) | −14.9763 | − | 234.171i | −0.0189574 | − | 0.296419i | ||||
\(791\) | 450.599 | − | 327.379i | 0.569657 | − | 0.413880i | ||||
\(792\) | −49.9932 | − | 98.1172i | −0.0631228 | − | 0.123885i | ||||
\(793\) | −3.26485 | − | 3.26485i | −0.00411709 | − | 0.00411709i | ||||
\(794\) | −120.984 | − | 39.3101i | −0.152373 | − | 0.0495089i | ||||
\(795\) | −527.161 | + | 118.408i | −0.663095 | + | 0.148941i | ||||
\(796\) | −204.039 | − | 627.968i | −0.256331 | − | 0.788905i | ||||
\(797\) | 476.396 | + | 242.736i | 0.597736 | + | 0.304562i | 0.726557 | − | 0.687106i | \(-0.241119\pi\) |
−0.128821 | + | 0.991668i | \(0.541119\pi\) | |||||||
\(798\) | −7.21684 | − | 45.5654i | −0.00904366 | − | 0.0570994i | ||||
\(799\) | 540.368i | 0.676306i | ||||||||
\(800\) | −141.360 | − | 4.14929i | −0.176701 | − | 0.00518661i | ||||
\(801\) | 310.759 | 0.387964 | ||||||||
\(802\) | −679.522 | + | 107.626i | −0.847284 | + | 0.134197i | ||||
\(803\) | 613.610 | − | 1204.28i | 0.764147 | − | 1.49972i | ||||
\(804\) | 7.89361 | − | 2.56479i | 0.00981793 | − | 0.00319004i | ||||
\(805\) | −40.7796 | + | 24.1740i | −0.0506578 | + | 0.0300298i | ||||
\(806\) | 0.519333 | − | 1.59834i | 0.000644333 | − | 0.00198305i | ||||
\(807\) | 180.595 | − | 180.595i | 0.223785 | − | 0.223785i | ||||
\(808\) | 151.345 | − | 77.1140i | 0.187308 | − | 0.0954381i | ||||
\(809\) | −246.192 | − | 338.855i | −0.304317 | − | 0.418856i | 0.629282 | − | 0.777177i | \(-0.283349\pi\) |
−0.933598 | + | 0.358321i | \(0.883349\pi\) | |||||||
\(810\) | 53.7680 | + | 34.0441i | 0.0663802 | + | 0.0420298i | ||||
\(811\) | 754.843 | + | 548.426i | 0.930756 | + | 0.676234i | 0.946178 | − | 0.323647i | \(-0.104909\pi\) |
−0.0154219 | + | 0.999881i | \(0.504909\pi\) | |||||||
\(812\) | −77.2465 | + | 487.715i | −0.0951311 | + | 0.600634i | ||||
\(813\) | 321.941 | + | 50.9905i | 0.395992 | + | 0.0627189i | ||||
\(814\) | 279.672 | − | 384.935i | 0.343577 | − | 0.472894i | ||||
\(815\) | 391.924 | − | 618.991i | 0.480889 | − | 0.759498i | ||||
\(816\) | −45.1597 | + | 32.8104i | −0.0553427 | + | 0.0402088i | ||||
\(817\) | 115.371 | + | 226.429i | 0.141213 | + | 0.277146i | ||||
\(818\) | 524.722 | + | 524.722i | 0.641470 | + | 0.641470i | ||||
\(819\) | 1.63445 | + | 0.531065i | 0.00199566 | + | 0.000648431i | ||||
\(820\) | 321.944 | + | 543.093i | 0.392615 | + | 0.662309i | ||||
\(821\) | 215.923 | + | 664.543i | 0.263000 | + | 0.809431i | 0.992147 | + | 0.125074i | \(0.0399169\pi\) |
−0.729147 | + | 0.684357i | \(0.760083\pi\) | |||||||
\(822\) | 437.381 | + | 222.857i | 0.532094 | + | 0.271115i | ||||
\(823\) | 88.1338 | + | 556.455i | 0.107088 | + | 0.676130i | 0.981575 | + | 0.191079i | \(0.0611988\pi\) |
−0.874486 | + | 0.485051i | \(0.838801\pi\) | |||||||
\(824\) | − | 345.885i | − | 0.419763i | ||||||
\(825\) | 529.123 | + | 189.258i | 0.641361 | + | 0.229404i | ||||
\(826\) | 522.234 | 0.632245 | ||||||||
\(827\) | −740.501 | + | 117.284i | −0.895406 | + | 0.141818i | −0.587143 | − | 0.809483i | \(-0.699747\pi\) |
−0.308262 | + | 0.951301i | \(0.599747\pi\) | |||||||
\(828\) | −4.75932 | + | 9.34069i | −0.00574797 | + | 0.0112810i | ||||
\(829\) | 452.818 | − | 147.129i | 0.546222 | − | 0.177478i | −0.0228906 | − | 0.999738i | \(-0.507287\pi\) |
0.569112 | + | 0.822260i | \(0.307287\pi\) | |||||||
\(830\) | 156.248 | + | 695.629i | 0.188251 | + | 0.838107i | ||||
\(831\) | 91.7995 | − | 282.530i | 0.110469 | − | 0.339988i | ||||
\(832\) | −0.597172 | + | 0.597172i | −0.000717755 | + | 0.000717755i | ||||
\(833\) | −140.369 | + | 71.5215i | −0.168510 | + | 0.0858602i | ||||
\(834\) | −320.536 | − | 441.180i | −0.384336 | − | 0.528993i | ||||
\(835\) | 1126.40 | − | 72.0388i | 1.34899 | − | 0.0862741i | ||||
\(836\) | −72.8796 | − | 52.9501i | −0.0871765 | − | 0.0633375i | ||||
\(837\) | −9.15036 | + | 57.7731i | −0.0109323 | + | 0.0690240i | ||||
\(838\) | 128.515 | + | 20.3548i | 0.153359 | + | 0.0242897i | ||||
\(839\) | 399.399 | − | 549.726i | 0.476042 | − | 0.655216i | −0.501696 | − | 0.865044i | \(-0.667290\pi\) |
0.977738 | + | 0.209828i | \(0.0672904\pi\) | |||||||
\(840\) | 123.536 | − | 49.0596i | 0.147067 | − | 0.0584043i | ||||
\(841\) | 994.373 | − | 722.454i | 1.18237 | − | 0.859042i | ||||
\(842\) | 192.821 | + | 378.432i | 0.229004 | + | 0.449445i | ||||
\(843\) | 601.072 | + | 601.072i | 0.713015 | + | 0.713015i | ||||
\(844\) | −2.25554 | − | 0.732868i | −0.00267244 | − | 0.000868327i | ||||
\(845\) | −558.115 | + | 634.381i | −0.660491 | + | 0.750746i | ||||
\(846\) | −87.9298 | − | 270.620i | −0.103936 | − | 0.319882i | ||||
\(847\) | 229.282 | + | 116.825i | 0.270700 | + | 0.137928i | ||||
\(848\) | 39.0385 | + | 246.479i | 0.0460359 | + | 0.290659i | ||||
\(849\) | − | 341.515i | − | 0.402256i | ||||||
\(850\) | 52.7971 | − | 279.922i | 0.0621143 | − | 0.329320i | ||||
\(851\) | −45.2964 | −0.0532273 | ||||||||
\(852\) | 53.2113 | − | 8.42785i | 0.0624546 | − | 0.00989184i | ||||
\(853\) | 745.125 | − | 1462.39i | 0.873535 | − | 1.71441i | 0.193676 | − | 0.981066i | \(-0.437959\pi\) |
0.679859 | − | 0.733343i | \(-0.262041\pi\) | |||||||
\(854\) | 319.223 | − | 103.722i | 0.373797 | − | 0.121454i | ||||
\(855\) | 51.8349 | + | 4.84567i | 0.0606256 | + | 0.00566745i | ||||
\(856\) | 164.637 | − | 506.700i | 0.192333 | − | 0.591939i | ||||
\(857\) | 356.131 | − | 356.131i | 0.415555 | − | 0.415555i | −0.468113 | − | 0.883668i | \(-0.655066\pi\) |
0.883668 | + | 0.468113i | \(0.155066\pi\) | |||||||
\(858\) | 2.99006 | − | 1.52351i | 0.00348491 | − | 0.00177565i | ||||
\(859\) | −403.777 | − | 555.751i | −0.470054 | − | 0.646974i | 0.506501 | − | 0.862239i | \(-0.330938\pi\) |
−0.976556 | + | 0.215265i | \(0.930938\pi\) | |||||||
\(860\) | −563.687 | + | 467.307i | −0.655450 | + | 0.543380i | ||||
\(861\) | −480.070 | − | 348.792i | −0.557573 | − | 0.405101i | ||||
\(862\) | −47.2750 | + | 298.483i | −0.0548434 | + | 0.346267i | ||||
\(863\) | 995.377 | + | 157.652i | 1.15339 | + | 0.182679i | 0.703695 | − | 0.710502i | \(-0.251532\pi\) |
0.449697 | + | 0.893181i | \(0.351532\pi\) | |||||||
\(864\) | 17.2773 | − | 23.7801i | 0.0199969 | − | 0.0275233i | ||||
\(865\) | −175.398 | − | 44.8409i | −0.202772 | − | 0.0518392i | ||||
\(866\) | 79.4143 | − | 57.6979i | 0.0917024 | − | 0.0666257i | ||||
\(867\) | 176.206 | + | 345.823i | 0.203236 | + | 0.398874i | ||||
\(868\) | 86.3889 | + | 86.3889i | 0.0995264 | + | 0.0995264i | ||||
\(869\) | 409.580 | + | 133.081i | 0.471323 | + | 0.153142i | ||||
\(870\) | −511.639 | − | 220.777i | −0.588091 | − | 0.253767i | ||||
\(871\) | 0.0781602 | + | 0.240552i | 8.97362e−5 | + | 0.000276180i | ||||
\(872\) | 368.999 | + | 188.014i | 0.423163 | + | 0.215613i | ||||
\(873\) | 31.9473 | + | 201.707i | 0.0365948 | + | 0.231050i | ||||
\(874\) | 8.57594i | 0.00981229i | ||||||||
\(875\) | −286.902 | + | 614.649i | −0.327888 | + | 0.702456i | ||||
\(876\) | 360.776 | 0.411845 | ||||||||
\(877\) | 180.016 | − | 28.5117i | 0.205263 | − | 0.0325105i | −0.0529561 | − | 0.998597i | \(-0.516864\pi\) |
0.258219 | + | 0.966086i | \(0.416864\pi\) | |||||||
\(878\) | 84.8685 | − | 166.564i | 0.0966611 | − | 0.189708i | ||||
\(879\) | −300.254 | + | 97.5583i | −0.341585 | + | 0.110988i | ||||
\(880\) | 102.835 | − | 238.314i | 0.116858 | − | 0.270811i | ||||
\(881\) | −7.55400 | + | 23.2488i | −0.00857435 | + | 0.0263891i | −0.955252 | − | 0.295793i | \(-0.904416\pi\) |
0.946678 | + | 0.322182i | \(0.104416\pi\) | |||||||
\(882\) | 58.6596 | − | 58.6596i | 0.0665075 | − | 0.0665075i | ||||
\(883\) | 790.605 | − | 402.833i | 0.895362 | − | 0.456210i | 0.0551566 | − | 0.998478i | \(-0.482434\pi\) |
0.840206 | + | 0.542268i | \(0.182434\pi\) | |||||||
\(884\) | −0.999875 | − | 1.37621i | −0.00113108 | − | 0.00155680i | ||||
\(885\) | −145.970 | + | 570.971i | −0.164938 | + | 0.645165i | ||||
\(886\) | 410.320 | + | 298.115i | 0.463115 | + | 0.336473i | ||||
\(887\) | −90.0023 | + | 568.252i | −0.101468 | + | 0.640645i | 0.883569 | + | 0.468302i | \(0.155134\pi\) |
−0.985037 | + | 0.172344i | \(0.944866\pi\) | |||||||
\(888\) | 125.442 | + | 19.8680i | 0.141263 | + | 0.0223739i | ||||
\(889\) | 225.615 | − | 310.532i | 0.253785 | − | 0.349305i | ||||
\(890\) | 467.477 | + | 563.892i | 0.525255 | + | 0.633586i | ||||
\(891\) | −94.4927 | + | 68.6530i | −0.106052 | + | 0.0770516i | ||||
\(892\) | 10.2255 | + | 20.0687i | 0.0114636 | + | 0.0224985i | ||||
\(893\) | −164.597 | − | 164.597i | −0.184319 | − | 0.184319i | ||||
\(894\) | 387.235 | + | 125.820i | 0.433148 | + | 0.140738i | ||||
\(895\) | −130.044 | + | 1391.10i | −0.145300 | + | 1.55430i | ||||
\(896\) | −18.9717 | − | 58.3889i | −0.0211738 | − | 0.0651662i | ||||
\(897\) | −0.284651 | − | 0.145037i | −0.000317337 | − | 0.000161691i | ||||
\(898\) | −49.6671 | − | 313.586i | −0.0553086 | − | 0.349205i | ||||
\(899\) | − | 512.178i | − | 0.569719i | ||||||
\(900\) | 19.1083 | + | 148.778i | 0.0212314 | + | 0.165309i | ||||
\(901\) | −502.658 | −0.557889 | ||||||||
\(902\) | −1144.46 | + | 181.265i | −1.26880 | + | 0.200959i | ||||
\(903\) | 312.433 | − | 613.184i | 0.345994 | − | 0.679052i | ||||
\(904\) | 276.099 | − | 89.7099i | 0.305419 | − | 0.0992366i | ||||
\(905\) | 445.221 | + | 391.696i | 0.491957 | + | 0.432813i | ||||
\(906\) | 5.51196 | − | 16.9641i | 0.00608384 | − | 0.0187241i | ||||
\(907\) | −247.466 | + | 247.466i | −0.272840 | + | 0.272840i | −0.830242 | − | 0.557403i | \(-0.811798\pi\) |
0.557403 | + | 0.830242i | \(0.311798\pi\) | |||||||
\(908\) | 266.904 | − | 135.994i | 0.293947 | − | 0.149774i | ||||
\(909\) | −105.896 | − | 145.754i | −0.116498 | − | 0.160345i | ||||
\(910\) | 1.49506 | + | 3.76469i | 0.00164292 | + | 0.00413702i | ||||
\(911\) | −612.110 | − | 444.724i | −0.671910 | − | 0.488171i | 0.198754 | − | 0.980049i | \(-0.436311\pi\) |
−0.870664 | + | 0.491878i | \(0.836311\pi\) | |||||||
\(912\) | 3.76160 | − | 23.7498i | 0.00412457 | − | 0.0260415i | ||||
\(913\) | −1292.41 | − | 204.697i | −1.41556 | − | 0.224203i | ||||
\(914\) | 73.5125 | − | 101.181i | 0.0804295 | − | 0.110702i | ||||
\(915\) | 24.1752 | + | 378.005i | 0.0264210 | + | 0.413121i | ||||
\(916\) | 71.6009 | − | 52.0211i | 0.0781669 | − | 0.0567916i | ||||
\(917\) | −272.892 | − | 535.581i | −0.297592 | − | 0.584057i | ||||
\(918\) | 41.8653 | + | 41.8653i | 0.0456049 | + | 0.0456049i | ||||
\(919\) | −819.374 | − | 266.231i | −0.891593 | − | 0.289696i | −0.172830 | − | 0.984952i | \(-0.555291\pi\) |
−0.718763 | + | 0.695255i | \(0.755291\pi\) | |||||||
\(920\) | −24.1087 | + | 5.41516i | −0.0262051 | + | 0.00588604i | ||||
\(921\) | −83.5316 | − | 257.084i | −0.0906966 | − | 0.279135i | ||||
\(922\) | −405.421 | − | 206.572i | −0.439719 | − | 0.224048i | ||||
\(923\) | 0.256833 | + | 1.62158i | 0.000278259 | + | 0.00175686i | ||||
\(924\) | 243.954i | 0.264019i | ||||||||
\(925\) | −535.294 | + | 365.409i | −0.578696 | + | 0.395036i | ||||
\(926\) | −148.630 | −0.160508 | ||||||||
\(927\) | −362.350 | + | 57.3905i | −0.390884 | + | 0.0619100i | ||||
\(928\) | −116.847 | + | 229.326i | −0.125913 | + | 0.247118i | ||||
\(929\) | −1328.79 | + | 431.752i | −1.43035 | + | 0.464749i | −0.918875 | − | 0.394549i | \(-0.870901\pi\) |
−0.511475 | + | 0.859298i | \(0.670901\pi\) | |||||||
\(930\) | −118.598 | + | 70.3044i | −0.127524 | + | 0.0755961i | ||||
\(931\) | 20.9710 | − | 64.5422i | 0.0225253 | − | 0.0693257i | ||||
\(932\) | −127.359 | + | 127.359i | −0.136651 | + | 0.136651i | ||||
\(933\) | −36.0583 | + | 18.3726i | −0.0386477 | + | 0.0196920i | ||||
\(934\) | 17.1643 | + | 23.6246i | 0.0183772 | + | 0.0252940i | ||||
\(935\) | 441.710 | + | 279.676i | 0.472417 | + | 0.299119i | ||||
\(936\) | 0.724684 | + | 0.526514i | 0.000774235 | + | 0.000562514i | ||||
\(937\) | −60.6837 | + | 383.142i | −0.0647638 | + | 0.408902i | 0.933914 | + | 0.357497i | \(0.116370\pi\) |
−0.998678 | + | 0.0514049i | \(0.983630\pi\) | |||||||
\(938\) | −18.1607 | − | 2.87637i | −0.0193611 | − | 0.00306650i | ||||
\(939\) | −539.259 | + | 742.226i | −0.574291 | + | 0.790443i | ||||
\(940\) | 358.783 | − | 566.648i | 0.381684 | − | 0.602817i | ||||
\(941\) | −624.224 | + | 453.525i | −0.663363 | + | 0.481961i | −0.867797 | − | 0.496919i | \(-0.834465\pi\) |
0.204434 | + | 0.978880i | \(0.434465\pi\) | |||||||
\(942\) | −299.929 | − | 588.644i | −0.318396 | − | 0.624888i | ||||
\(943\) | 78.0008 | + | 78.0008i | 0.0827156 | + | 0.0827156i | ||||
\(944\) | 258.879 | + | 84.1150i | 0.274237 | + | 0.0891049i | ||||
\(945\) | −71.8926 | − | 121.277i | −0.0760768 | − | 0.128335i | ||||
\(946\) | −415.265 | − | 1278.06i | −0.438970 | − | 1.35101i | ||||
\(947\) | −1105.64 | − | 563.350i | −1.16752 | − | 0.594879i | −0.240775 | − | 0.970581i | \(-0.577402\pi\) |
−0.926741 | + | 0.375702i | \(0.877402\pi\) | |||||||
\(948\) | 17.9828 | + | 113.539i | 0.0189692 | + | 0.119767i | ||||
\(949\) | 10.9944i | 0.0115853i | ||||||||
\(950\) | 69.1826 | + | 101.347i | 0.0728238 | + | 0.106681i | ||||
\(951\) | 42.2531 | 0.0444302 | ||||||||
\(952\) | 122.140 | − | 19.3450i | 0.128298 | − | 0.0203204i | ||||
\(953\) | 100.299 | − | 196.847i | 0.105245 | − | 0.206555i | −0.832378 | − | 0.554208i | \(-0.813021\pi\) |
0.937623 | + | 0.347653i | \(0.113021\pi\) | |||||||
\(954\) | 251.735 | − | 81.7935i | 0.263873 | − | 0.0857375i | ||||
\(955\) | −363.854 | − | 1619.90i | −0.380999 | − | 1.69623i | ||||
\(956\) | −226.077 | + | 695.794i | −0.236482 | + | 0.727818i | ||||
\(957\) | 723.171 | − | 723.171i | 0.755664 | − | 0.755664i | ||||
\(958\) | 629.843 | − | 320.921i | 0.657456 | − | 0.334991i | ||||
\(959\) | −639.206 | − | 879.792i | −0.666534 | − | 0.917406i | ||||
\(960\) | 69.1408 | − | 4.42188i | 0.0720216 | − | 0.00460613i | ||||
\(961\) | 674.946 | + | 490.377i | 0.702337 | + | 0.510278i | ||||
\(962\) | −0.605465 | + | 3.82276i | −0.000629382 | + | 0.00397376i | ||||
\(963\) | −558.137 | − | 88.4002i | −0.579581 | − | 0.0917967i | ||||
\(964\) | 555.254 | − | 764.242i | 0.575990 | − | 0.792782i | ||||
\(965\) | −1033.05 | + | 410.251i | −1.07052 | + | 0.425131i | ||||
\(966\) | 18.7888 | − | 13.6509i | 0.0194501 | − | 0.0141313i | ||||
\(967\) | −721.489 | − | 1416.00i | −0.746111 | − | 1.46433i | −0.880826 | − | 0.473441i | \(-0.843012\pi\) |
0.134714 | − | 0.990884i | \(-0.456988\pi\) | |||||||
\(968\) | 94.8420 | + | 94.8420i | 0.0979773 | + | 0.0979773i | ||||
\(969\) | 46.0638 | + | 14.9670i | 0.0475374 | + | 0.0154458i | ||||
\(970\) | −317.951 | + | 361.399i | −0.327785 | + | 0.372576i | ||||
\(971\) | 55.4940 | + | 170.793i | 0.0571514 | + | 0.175894i | 0.975557 | − | 0.219746i | \(-0.0705228\pi\) |
−0.918406 | + | 0.395640i | \(0.870523\pi\) | |||||||
\(972\) | −27.7788 | − | 14.1540i | −0.0285790 | − | 0.0145618i | ||||
\(973\) | 188.988 | + | 1193.22i | 0.194232 | + | 1.22634i | ||||
\(974\) | 130.970i | 0.134466i | ||||||||
\(975\) | −4.53391 | + | 0.582311i | −0.00465016 | + | 0.000597242i | ||||
\(976\) | 174.950 | 0.179252 | ||||||||
\(977\) | −107.860 | + | 17.0833i | −0.110399 | + | 0.0174854i | −0.211389 | − | 0.977402i | \(-0.567799\pi\) |
0.100991 | + | 0.994887i | \(0.467799\pi\) | |||||||
\(978\) | −162.945 | + | 319.797i | −0.166610 | + | 0.326991i | ||||
\(979\) | −1278.52 | + | 415.416i | −1.30595 | + | 0.424327i | ||||
\(980\) | 194.683 | + | 18.1995i | 0.198656 | + | 0.0185709i | ||||
\(981\) | 135.738 | − | 417.760i | 0.138367 | − | 0.425851i | ||||
\(982\) | −38.2489 | + | 38.2489i | −0.0389500 | + | 0.0389500i | ||||
\(983\) | −279.983 | + | 142.658i | −0.284825 | + | 0.145126i | −0.590567 | − | 0.806989i | \(-0.701096\pi\) |
0.305741 | + | 0.952115i | \(0.401096\pi\) | |||||||
\(984\) | −181.799 | − | 250.225i | −0.184755 | − | 0.254294i | ||||
\(985\) | −1115.86 | + | 925.066i | −1.13285 | + | 0.939153i | ||||
\(986\) | −419.413 | − | 304.722i | −0.425368 | − | 0.309048i | ||||
\(987\) | −98.6119 | + | 622.611i | −0.0999108 | + | 0.630812i | ||||
\(988\) | 0.723760 | + | 0.114632i | 0.000732551 | + | 0.000116025i | ||||
\(989\) | −75.1962 | + | 103.499i | −0.0760325 | + | 0.104650i | ||||
\(990\) | −266.721 | − | 68.1878i | −0.269415 | − | 0.0688765i | ||||
\(991\) | −1177.17 | + | 855.264i | −1.18786 | + | 0.863032i | −0.993037 | − | 0.117807i | \(-0.962414\pi\) |
−0.194825 | + | 0.980838i | \(0.562414\pi\) | |||||||
\(992\) | 28.9098 | + | 56.7387i | 0.0291430 | + | 0.0571963i | ||||
\(993\) | 11.7633 | + | 11.7633i | 0.0118462 | + | 0.0118462i | ||||
\(994\) | −113.510 | − | 36.8816i | −0.114195 | − | 0.0371043i | ||||
\(995\) | −1515.63 | − | 654.007i | −1.52324 | − | 0.657294i | ||||
\(996\) | −107.933 | − | 332.183i | −0.108366 | − | 0.333517i | ||||
\(997\) | −1065.53 | − | 542.917i | −1.06874 | − | 0.544551i | −0.171089 | − | 0.985256i | \(-0.554729\pi\) |
−0.897652 | + | 0.440705i | \(0.854729\pi\) | |||||||
\(998\) | 168.940 | + | 1066.64i | 0.169278 | + | 1.06878i | ||||
\(999\) | − | 134.710i | − | 0.134845i |
(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 | 150.3.k.a.13.2 | ✓ | 32 | |
25.2 | odd | 20 | inner | 150.3.k.a.127.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.k.a.13.2 | ✓ | 32 | 1.1 | even | 1 | trivial | |
150.3.k.a.127.2 | yes | 32 | 25.2 | odd | 20 | inner |