Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(31,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 21]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.31");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.x (of order \(30\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 31.13 | ||
Character | \(\chi\) | \(=\) | 287.31 |
Dual form | 287.3.x.a.250.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.261584 | + | 2.48881i | −0.130792 | + | 1.24440i | 0.710451 | + | 0.703747i | \(0.248491\pi\) |
−0.841243 | + | 0.540657i | \(0.818176\pi\) | |||||||
\(3\) | −1.88397 | + | 3.26313i | −0.627990 | + | 1.08771i | 0.359965 | + | 0.932966i | \(0.382789\pi\) |
−0.987955 | + | 0.154744i | \(0.950545\pi\) | |||||||
\(4\) | −2.21315 | − | 0.470420i | −0.553288 | − | 0.117605i | ||||
\(5\) | 3.91575 | + | 3.52575i | 0.783149 | + | 0.705151i | 0.960281 | − | 0.279036i | \(-0.0900150\pi\) |
−0.177131 | + | 0.984187i | \(0.556682\pi\) | |||||||
\(6\) | −7.62849 | − | 5.54242i | −1.27142 | − | 0.923737i | ||||
\(7\) | 5.00297 | − | 4.89595i | 0.714709 | − | 0.699422i | ||||
\(8\) | −1.34357 | + | 4.13508i | −0.167946 | + | 0.516885i | ||||
\(9\) | −2.59868 | − | 4.50104i | −0.288742 | − | 0.500116i | ||||
\(10\) | −9.79923 | + | 8.82326i | −0.979923 | + | 0.882326i | ||||
\(11\) | −14.6524 | + | 13.1931i | −1.33204 | + | 1.19937i | −0.369185 | + | 0.929356i | \(0.620363\pi\) |
−0.962855 | + | 0.270019i | \(0.912970\pi\) | |||||||
\(12\) | 5.70456 | − | 6.33555i | 0.475380 | − | 0.527963i | ||||
\(13\) | −10.6164 | − | 7.71326i | −0.816646 | − | 0.593328i | 0.0991039 | − | 0.995077i | \(-0.468402\pi\) |
−0.915750 | + | 0.401749i | \(0.868402\pi\) | |||||||
\(14\) | 10.8764 | + | 13.7321i | 0.776885 | + | 0.980866i | ||||
\(15\) | −18.8821 | + | 6.13518i | −1.25881 | + | 0.409012i | ||||
\(16\) | −18.2079 | − | 8.10669i | −1.13799 | − | 0.506668i | ||||
\(17\) | 4.12656 | + | 4.58301i | 0.242739 | + | 0.269589i | 0.852187 | − | 0.523237i | \(-0.175276\pi\) |
−0.609448 | + | 0.792826i | \(0.708609\pi\) | |||||||
\(18\) | 11.8820 | − | 5.29021i | 0.660112 | − | 0.293901i | ||||
\(19\) | 14.2830 | + | 6.35920i | 0.751737 | + | 0.334695i | 0.746583 | − | 0.665292i | \(-0.231693\pi\) |
0.00515375 | + | 0.999987i | \(0.498360\pi\) | |||||||
\(20\) | −7.00756 | − | 9.64508i | −0.350378 | − | 0.482254i | ||||
\(21\) | 6.55069 | + | 25.5491i | 0.311938 | + | 1.21663i | ||||
\(22\) | −29.0023 | − | 39.9182i | −1.31829 | − | 1.81447i | ||||
\(23\) | −0.154861 | + | 1.47340i | −0.00673308 | + | 0.0640610i | −0.997373 | − | 0.0724437i | \(-0.976920\pi\) |
0.990639 | + | 0.136505i | \(0.0435869\pi\) | |||||||
\(24\) | −10.9621 | − | 12.1746i | −0.456753 | − | 0.507275i | ||||
\(25\) | 0.288918 | + | 2.74887i | 0.0115567 | + | 0.109955i | ||||
\(26\) | 21.9739 | − | 24.4045i | 0.845151 | − | 0.938635i | ||||
\(27\) | −14.3281 | −0.530671 | ||||||||
\(28\) | −13.3755 | + | 8.48200i | −0.477696 | + | 0.302928i | ||||
\(29\) | 41.6938 | − | 13.5471i | 1.43772 | − | 0.467142i | 0.516532 | − | 0.856268i | \(-0.327223\pi\) |
0.921185 | + | 0.389126i | \(0.127223\pi\) | |||||||
\(30\) | −10.3300 | − | 48.5989i | −0.344334 | − | 1.61996i | ||||
\(31\) | 1.43861 | − | 1.29533i | 0.0464068 | − | 0.0417849i | −0.645601 | − | 0.763675i | \(-0.723393\pi\) |
0.692008 | + | 0.721890i | \(0.256726\pi\) | |||||||
\(32\) | 16.2431 | − | 28.1339i | 0.507598 | − | 0.879185i | ||||
\(33\) | −15.4461 | − | 72.6683i | −0.468064 | − | 2.20207i | ||||
\(34\) | −12.4857 | + | 9.07139i | −0.367226 | + | 0.266805i | ||||
\(35\) | 36.8523 | − | 1.53208i | 1.05292 | − | 0.0437737i | ||||
\(36\) | 3.63389 | + | 11.1840i | 0.100941 | + | 0.310666i | ||||
\(37\) | 16.9390 | − | 18.8127i | 0.457811 | − | 0.508450i | −0.469402 | − | 0.882984i | \(-0.655531\pi\) |
0.927213 | + | 0.374534i | \(0.122197\pi\) | |||||||
\(38\) | −19.5631 | + | 33.8842i | −0.514817 | + | 0.891690i | ||||
\(39\) | 45.1703 | − | 20.1111i | 1.15821 | − | 0.515670i | ||||
\(40\) | −19.8404 | + | 11.4548i | −0.496009 | + | 0.286371i | ||||
\(41\) | −28.3935 | + | 29.5771i | −0.692525 | + | 0.721393i | ||||
\(42\) | −65.3005 | + | 9.62017i | −1.55477 | + | 0.229052i | ||||
\(43\) | 33.4478 | + | 24.3013i | 0.777856 | + | 0.565146i | 0.904335 | − | 0.426824i | \(-0.140367\pi\) |
−0.126478 | + | 0.991969i | \(0.540367\pi\) | |||||||
\(44\) | 38.6344 | − | 22.3056i | 0.878055 | − | 0.506945i | ||||
\(45\) | 5.69381 | − | 26.7873i | 0.126529 | − | 0.595272i | ||||
\(46\) | −3.62651 | − | 0.770838i | −0.0788372 | − | 0.0167574i | ||||
\(47\) | −4.31121 | + | 41.0184i | −0.0917278 | + | 0.872732i | 0.847813 | + | 0.530295i | \(0.177919\pi\) |
−0.939541 | + | 0.342437i | \(0.888748\pi\) | |||||||
\(48\) | 60.7563 | − | 44.1420i | 1.26576 | − | 0.919626i | ||||
\(49\) | 1.05933 | − | 48.9885i | 0.0216189 | − | 0.999766i | ||||
\(50\) | −6.91700 | −0.138340 | ||||||||
\(51\) | −22.7293 | + | 4.83126i | −0.445672 | + | 0.0947306i | ||||
\(52\) | 19.8672 | + | 22.0648i | 0.382062 | + | 0.424323i | ||||
\(53\) | −4.98655 | + | 23.4599i | −0.0940859 | + | 0.442640i | 0.905737 | + | 0.423839i | \(0.139318\pi\) |
−0.999823 | + | 0.0188001i | \(0.994015\pi\) | |||||||
\(54\) | 3.74801 | − | 35.6599i | 0.0694076 | − | 0.660369i | ||||
\(55\) | −103.891 | −1.88893 | ||||||||
\(56\) | 13.5233 | + | 27.2657i | 0.241488 | + | 0.486888i | ||||
\(57\) | −47.6597 | + | 34.6268i | −0.836134 | + | 0.607487i | ||||
\(58\) | 22.8098 | + | 107.312i | 0.393272 | + | 1.85020i | ||||
\(59\) | 15.5026 | + | 34.8195i | 0.262757 | + | 0.590161i | 0.995955 | − | 0.0898538i | \(-0.0286400\pi\) |
−0.733198 | + | 0.680015i | \(0.761973\pi\) | |||||||
\(60\) | 44.6752 | − | 4.69555i | 0.744587 | − | 0.0782592i | ||||
\(61\) | −9.13649 | + | 20.5209i | −0.149778 | + | 0.336408i | −0.972816 | − | 0.231579i | \(-0.925611\pi\) |
0.823038 | + | 0.567987i | \(0.192278\pi\) | |||||||
\(62\) | 2.84751 | + | 3.91927i | 0.0459276 | + | 0.0632140i | ||||
\(63\) | −35.0380 | − | 9.79556i | −0.556159 | − | 0.155485i | ||||
\(64\) | 1.27282 | + | 0.924758i | 0.0198878 | + | 0.0144493i | ||||
\(65\) | −14.3760 | − | 67.6340i | −0.221170 | − | 1.04052i | ||||
\(66\) | 184.898 | − | 19.4336i | 2.80148 | − | 0.294448i | ||||
\(67\) | 10.6891 | − | 50.2880i | 0.159538 | − | 0.750568i | −0.823522 | − | 0.567284i | \(-0.807994\pi\) |
0.983060 | − | 0.183284i | \(-0.0586726\pi\) | |||||||
\(68\) | −6.97678 | − | 12.0841i | −0.102600 | − | 0.177708i | ||||
\(69\) | −4.51615 | − | 3.28118i | −0.0654515 | − | 0.0475533i | ||||
\(70\) | −5.82693 | + | 92.1190i | −0.0832418 | + | 1.31599i | ||||
\(71\) | −102.531 | − | 33.3142i | −1.44409 | − | 0.469214i | −0.520922 | − | 0.853604i | \(-0.674412\pi\) |
−0.923171 | + | 0.384390i | \(0.874412\pi\) | |||||||
\(72\) | 22.1037 | − | 4.69829i | 0.306996 | − | 0.0652540i | ||||
\(73\) | 54.4705 | + | 31.4486i | 0.746172 | + | 0.430802i | 0.824309 | − | 0.566140i | \(-0.191564\pi\) |
−0.0781374 | + | 0.996943i | \(0.524897\pi\) | |||||||
\(74\) | 42.3901 | + | 47.0790i | 0.572840 | + | 0.636203i | ||||
\(75\) | −9.51425 | − | 4.23601i | −0.126857 | − | 0.0564802i | ||||
\(76\) | −28.6190 | − | 20.7929i | −0.376566 | − | 0.273591i | ||||
\(77\) | −8.71280 | + | 137.742i | −0.113153 | + | 1.78886i | ||||
\(78\) | 38.2369 | + | 117.681i | 0.490217 | + | 1.50873i | ||||
\(79\) | 65.3729 | − | 37.7431i | 0.827505 | − | 0.477760i | −0.0254925 | − | 0.999675i | \(-0.508115\pi\) |
0.852998 | + | 0.521915i | \(0.174782\pi\) | |||||||
\(80\) | −42.7154 | − | 95.9404i | −0.533942 | − | 1.19925i | ||||
\(81\) | 50.3818 | − | 87.2639i | 0.621998 | − | 1.07733i | ||||
\(82\) | −66.1845 | − | 78.4030i | −0.807128 | − | 0.956134i | ||||
\(83\) | 32.8272i | 0.395509i | 0.980252 | + | 0.197754i | \(0.0633648\pi\) | ||||
−0.980252 | + | 0.197754i | \(0.936635\pi\) | |||||||
\(84\) | −2.47885 | − | 59.6258i | −0.0295101 | − | 0.709831i | ||||
\(85\) | 32.4952i | 0.382296i | ||||||||
\(86\) | −69.2306 | + | 76.8884i | −0.805008 | + | 0.894051i | ||||
\(87\) | −34.3437 | + | 161.575i | −0.394756 | + | 1.85718i | ||||
\(88\) | −34.8681 | − | 78.3149i | −0.396228 | − | 0.889942i | ||||
\(89\) | 8.18061 | + | 3.64224i | 0.0919169 | + | 0.0409241i | 0.452180 | − | 0.891927i | \(-0.350646\pi\) |
−0.360263 | + | 0.932851i | \(0.617313\pi\) | |||||||
\(90\) | 65.1790 | + | 21.1779i | 0.724211 | + | 0.235310i | ||||
\(91\) | −90.8772 | + | 13.3882i | −0.998651 | + | 0.147123i | ||||
\(92\) | 1.03585 | − | 3.18802i | 0.0112592 | − | 0.0346524i | ||||
\(93\) | 1.51654 | + | 7.13474i | 0.0163068 | + | 0.0767176i | ||||
\(94\) | −100.959 | − | 21.4595i | −1.07403 | − | 0.228293i | ||||
\(95\) | 33.5076 | + | 75.2594i | 0.352712 | + | 0.792204i | ||||
\(96\) | 61.2031 | + | 106.007i | 0.637532 | + | 1.10424i | ||||
\(97\) | 41.2854 | + | 127.063i | 0.425622 | + | 1.30993i | 0.902397 | + | 0.430905i | \(0.141806\pi\) |
−0.476775 | + | 0.879026i | \(0.658194\pi\) | |||||||
\(98\) | 121.646 | + | 15.4511i | 1.24129 | + | 0.157664i | ||||
\(99\) | 97.4598 | + | 31.6666i | 0.984443 | + | 0.319865i | ||||
\(100\) | 0.653706 | − | 6.21959i | 0.00653706 | − | 0.0621959i | ||||
\(101\) | −6.29159 | − | 59.8604i | −0.0622929 | − | 0.592678i | −0.980492 | − | 0.196559i | \(-0.937023\pi\) |
0.918199 | − | 0.396119i | \(-0.129643\pi\) | |||||||
\(102\) | −6.07846 | − | 57.8326i | −0.0595927 | − | 0.566987i | ||||
\(103\) | −64.7343 | + | 145.396i | −0.628489 | + | 1.41161i | 0.265760 | + | 0.964039i | \(0.414377\pi\) |
−0.894249 | + | 0.447570i | \(0.852290\pi\) | |||||||
\(104\) | 46.1588 | − | 33.5364i | 0.443835 | − | 0.322465i | ||||
\(105\) | −64.4292 | + | 123.140i | −0.613611 | + | 1.17276i | ||||
\(106\) | −57.0828 | − | 18.5473i | −0.538517 | − | 0.174975i | ||||
\(107\) | 136.468 | + | 60.7594i | 1.27540 | + | 0.567845i | 0.928944 | − | 0.370221i | \(-0.120718\pi\) |
0.346456 | + | 0.938066i | \(0.387385\pi\) | |||||||
\(108\) | 31.7103 | + | 6.74024i | 0.293614 | + | 0.0624096i | ||||
\(109\) | −100.170 | − | 57.8335i | −0.918995 | − | 0.530582i | −0.0356808 | − | 0.999363i | \(-0.511360\pi\) |
−0.883314 | + | 0.468781i | \(0.844693\pi\) | |||||||
\(110\) | 27.1762 | − | 258.565i | 0.247057 | − | 2.35059i | ||||
\(111\) | 29.4756 | + | 90.7166i | 0.265546 | + | 0.817267i | ||||
\(112\) | −130.783 | + | 48.5876i | −1.16771 | + | 0.433818i | ||||
\(113\) | −49.9102 | + | 153.608i | −0.441684 | + | 1.35936i | 0.444397 | + | 0.895830i | \(0.353418\pi\) |
−0.886080 | + | 0.463532i | \(0.846582\pi\) | |||||||
\(114\) | −73.7124 | − | 127.674i | −0.646600 | − | 1.11994i | ||||
\(115\) | −5.80125 | + | 5.22347i | −0.0504457 | + | 0.0454215i | ||||
\(116\) | −98.6476 | + | 10.3683i | −0.850410 | + | 0.0893817i | ||||
\(117\) | −7.12913 | + | 67.8292i | −0.0609328 | + | 0.579737i | ||||
\(118\) | −90.7143 | + | 29.4749i | −0.768766 | + | 0.249787i | ||||
\(119\) | 43.0833 | + | 2.72520i | 0.362044 | + | 0.0229009i | ||||
\(120\) | − | 86.3223i | − | 0.719352i | ||||||
\(121\) | 27.9878 | − | 266.286i | 0.231304 | − | 2.20071i | ||||
\(122\) | −48.6826 | − | 28.1069i | −0.399038 | − | 0.230385i | ||||
\(123\) | −43.0215 | − | 148.374i | −0.349768 | − | 1.20629i | ||||
\(124\) | −3.79322 | + | 2.19001i | −0.0305905 | + | 0.0176614i | ||||
\(125\) | 68.8678 | − | 94.7884i | 0.550942 | − | 0.758307i | ||||
\(126\) | 33.5447 | − | 84.6405i | 0.266228 | − | 0.671750i | ||||
\(127\) | 47.7137 | + | 146.848i | 0.375699 | + | 1.15628i | 0.943006 | + | 0.332775i | \(0.107985\pi\) |
−0.567307 | + | 0.823506i | \(0.692015\pi\) | |||||||
\(128\) | 84.3157 | − | 93.6421i | 0.658717 | − | 0.731579i | ||||
\(129\) | −142.313 | + | 63.3618i | −1.10320 | + | 0.491177i | ||||
\(130\) | 172.089 | − | 18.0872i | 1.32376 | − | 0.139133i | ||||
\(131\) | −7.40503 | − | 34.8379i | −0.0565270 | − | 0.265939i | 0.940804 | − | 0.338951i | \(-0.110072\pi\) |
−0.997331 | + | 0.0730124i | \(0.976739\pi\) | |||||||
\(132\) | 168.092i | 1.27343i | ||||||||
\(133\) | 102.592 | − | 38.1140i | 0.771367 | − | 0.286572i | ||||
\(134\) | 122.361 | + | 39.7576i | 0.913144 | + | 0.296698i | ||||
\(135\) | −56.1053 | − | 50.5174i | −0.415595 | − | 0.374203i | ||||
\(136\) | −24.4955 | + | 10.9061i | −0.180114 | + | 0.0801918i | ||||
\(137\) | −98.5786 | − | 56.9144i | −0.719552 | − | 0.415434i | 0.0950358 | − | 0.995474i | \(-0.469703\pi\) |
−0.814588 | + | 0.580040i | \(0.803037\pi\) | |||||||
\(138\) | 9.34758 | − | 10.3815i | 0.0677361 | − | 0.0752285i | ||||
\(139\) | 95.2738 | + | 131.133i | 0.685423 | + | 0.943404i | 0.999983 | − | 0.00583341i | \(-0.00185684\pi\) |
−0.314560 | + | 0.949238i | \(0.601857\pi\) | |||||||
\(140\) | −82.2804 | − | 13.9453i | −0.587717 | − | 0.0996095i | ||||
\(141\) | −125.726 | − | 91.3454i | −0.891675 | − | 0.647840i | ||||
\(142\) | 109.733 | − | 246.465i | 0.772769 | − | 1.73567i | ||||
\(143\) | 257.318 | − | 27.0452i | 1.79943 | − | 0.189127i | ||||
\(144\) | 10.8280 | + | 103.021i | 0.0751943 | + | 0.715426i | ||||
\(145\) | 211.026 | + | 93.9549i | 1.45535 | + | 0.647965i | ||||
\(146\) | −92.5181 | + | 127.340i | −0.633686 | + | 0.872194i | ||||
\(147\) | 157.860 | + | 95.7496i | 1.07388 | + | 0.651358i | ||||
\(148\) | −46.3385 | + | 33.6669i | −0.313098 | + | 0.227479i | ||||
\(149\) | 34.9826 | + | 31.4985i | 0.234782 | + | 0.211399i | 0.778121 | − | 0.628115i | \(-0.216173\pi\) |
−0.543338 | + | 0.839514i | \(0.682840\pi\) | |||||||
\(150\) | 13.0314 | − | 22.5711i | 0.0868761 | − | 0.150474i | ||||
\(151\) | 42.7109 | + | 95.9303i | 0.282854 | + | 0.635300i | 0.997969 | − | 0.0637070i | \(-0.0202923\pi\) |
−0.715115 | + | 0.699007i | \(0.753626\pi\) | |||||||
\(152\) | −45.4861 | + | 50.5174i | −0.299250 | + | 0.332351i | ||||
\(153\) | 9.90473 | − | 30.4836i | 0.0647368 | − | 0.199239i | ||||
\(154\) | −340.535 | − | 57.7157i | −2.21127 | − | 0.374778i | ||||
\(155\) | 10.2003 | 0.0658081 | ||||||||
\(156\) | −109.430 | + | 23.2600i | −0.701472 | + | 0.149102i | ||||
\(157\) | 6.75568 | + | 64.2760i | 0.0430298 | + | 0.409401i | 0.994742 | + | 0.102410i | \(0.0326555\pi\) |
−0.951712 | + | 0.306991i | \(0.900678\pi\) | |||||||
\(158\) | 76.8348 | + | 172.574i | 0.486296 | + | 1.09224i | ||||
\(159\) | −67.1582 | − | 60.4695i | −0.422378 | − | 0.380311i | ||||
\(160\) | 162.797 | − | 52.8961i | 1.01748 | − | 0.330600i | ||||
\(161\) | 6.43894 | + | 8.12957i | 0.0399934 | + | 0.0504943i | ||||
\(162\) | 204.004 | + | 148.218i | 1.25928 | + | 0.914924i | ||||
\(163\) | 108.969 | + | 188.739i | 0.668519 | + | 1.15791i | 0.978318 | + | 0.207107i | \(0.0664048\pi\) |
−0.309799 | + | 0.950802i | \(0.600262\pi\) | |||||||
\(164\) | 76.7530 | − | 52.1018i | 0.468006 | − | 0.317694i | ||||
\(165\) | 195.727 | − | 339.010i | 1.18623 | − | 2.05460i | ||||
\(166\) | −81.7007 | − | 8.58709i | −0.492173 | − | 0.0517295i | ||||
\(167\) | −273.707 | −1.63896 | −0.819481 | − | 0.573107i | \(-0.805738\pi\) | ||||
−0.819481 | + | 0.573107i | \(0.805738\pi\) | |||||||
\(168\) | −114.449 | − | 7.23941i | −0.681245 | − | 0.0430917i | ||||
\(169\) | 0.989568 | + | 3.04558i | 0.00585543 | + | 0.0180212i | ||||
\(170\) | −80.8743 | − | 8.50023i | −0.475731 | − | 0.0500013i | ||||
\(171\) | −8.49389 | − | 80.8140i | −0.0496719 | − | 0.472596i | ||||
\(172\) | −62.5934 | − | 69.5170i | −0.363915 | − | 0.404168i | ||||
\(173\) | 141.495 | − | 81.6922i | 0.817890 | − | 0.472209i | −0.0317980 | − | 0.999494i | \(-0.510123\pi\) |
0.849688 | + | 0.527285i | \(0.176790\pi\) | |||||||
\(174\) | −393.145 | − | 127.740i | −2.25945 | − | 0.734140i | ||||
\(175\) | 14.9038 | + | 12.3380i | 0.0851646 | + | 0.0705028i | ||||
\(176\) | 373.743 | − | 121.436i | 2.12354 | − | 0.689980i | ||||
\(177\) | −142.827 | − | 15.0117i | −0.806933 | − | 0.0848120i | ||||
\(178\) | −11.2048 | + | 19.4072i | −0.0629481 | + | 0.109029i | ||||
\(179\) | 41.9892 | − | 197.543i | 0.234576 | − | 1.10359i | −0.690358 | − | 0.723468i | \(-0.742547\pi\) |
0.924934 | − | 0.380127i | \(-0.124120\pi\) | |||||||
\(180\) | −25.2025 | + | 56.6058i | −0.140014 | + | 0.314477i | ||||
\(181\) | −2.34137 | + | 7.20600i | −0.0129357 | + | 0.0398121i | −0.957316 | − | 0.289043i | \(-0.906663\pi\) |
0.944380 | + | 0.328855i | \(0.106663\pi\) | |||||||
\(182\) | −9.54853 | − | 229.678i | −0.0524644 | − | 1.26197i | ||||
\(183\) | −49.7495 | − | 68.4743i | −0.271855 | − | 0.374176i | ||||
\(184\) | −5.88458 | − | 2.61998i | −0.0319814 | − | 0.0142390i | ||||
\(185\) | 132.658 | − | 13.9429i | 0.717068 | − | 0.0753669i | ||||
\(186\) | −18.1537 | + | 1.90803i | −0.0976006 | + | 0.0102582i | ||||
\(187\) | −120.928 | − | 12.7101i | −0.646676 | − | 0.0679684i | ||||
\(188\) | 28.8373 | − | 88.7520i | 0.153390 | − | 0.472085i | ||||
\(189\) | −71.6831 | + | 70.1498i | −0.379276 | + | 0.371163i | ||||
\(190\) | −196.071 | + | 63.7075i | −1.03195 | + | 0.335302i | ||||
\(191\) | 112.155 | − | 64.7526i | 0.587198 | − | 0.339019i | −0.176791 | − | 0.984248i | \(-0.556572\pi\) |
0.763989 | + | 0.645229i | \(0.223238\pi\) | |||||||
\(192\) | −5.41556 | + | 2.41116i | −0.0282060 | + | 0.0125581i | ||||
\(193\) | 56.5929 | − | 266.249i | 0.293228 | − | 1.37953i | −0.546927 | − | 0.837181i | \(-0.684202\pi\) |
0.840154 | − | 0.542347i | \(-0.182464\pi\) | |||||||
\(194\) | −327.036 | + | 69.5136i | −1.68575 | + | 0.358318i | ||||
\(195\) | 247.783 | + | 80.5094i | 1.27068 | + | 0.412869i | ||||
\(196\) | −25.3897 | + | 107.921i | −0.129539 | + | 0.550617i | ||||
\(197\) | 46.7085 | − | 143.754i | 0.237099 | − | 0.729715i | −0.759737 | − | 0.650230i | \(-0.774672\pi\) |
0.996836 | − | 0.0794849i | \(-0.0253275\pi\) | |||||||
\(198\) | −104.306 | + | 234.275i | −0.526799 | + | 1.18321i | ||||
\(199\) | −319.517 | + | 142.258i | −1.60561 | + | 0.714864i | −0.996911 | − | 0.0785365i | \(-0.974975\pi\) |
−0.608700 | + | 0.793401i | \(0.708309\pi\) | |||||||
\(200\) | −11.7550 | − | 2.49860i | −0.0587750 | − | 0.0124930i | ||||
\(201\) | 143.959 | + | 129.621i | 0.716212 | + | 0.644880i | ||||
\(202\) | 150.627 | 0.745678 | ||||||||
\(203\) | 142.266 | − | 271.907i | 0.700820 | − | 1.33944i | ||||
\(204\) | 52.5761 | 0.257726 | ||||||||
\(205\) | −215.464 | + | 15.7079i | −1.05104 | + | 0.0766240i | ||||
\(206\) | −344.929 | − | 199.145i | −1.67441 | − | 0.966722i | ||||
\(207\) | 7.03429 | − | 3.13187i | 0.0339821 | − | 0.0151298i | ||||
\(208\) | 130.773 | + | 226.506i | 0.628718 | + | 1.08897i | ||||
\(209\) | −293.179 | + | 95.2595i | −1.40277 | + | 0.455787i | ||||
\(210\) | −289.619 | − | 192.563i | −1.37914 | − | 0.916969i | ||||
\(211\) | 62.7331 | − | 86.3446i | 0.297313 | − | 0.409216i | −0.634059 | − | 0.773284i | \(-0.718612\pi\) |
0.931372 | + | 0.364068i | \(0.118612\pi\) | |||||||
\(212\) | 22.0720 | − | 49.5746i | 0.104113 | − | 0.233842i | ||||
\(213\) | 301.873 | − | 271.808i | 1.41725 | − | 1.27609i | ||||
\(214\) | −186.916 | + | 323.749i | −0.873441 | + | 1.51284i | ||||
\(215\) | 45.2929 | + | 213.086i | 0.210665 | + | 0.991100i | ||||
\(216\) | 19.2508 | − | 59.2479i | 0.0891242 | − | 0.274296i | ||||
\(217\) | 0.855443 | − | 13.5239i | 0.00394213 | − | 0.0623220i | ||||
\(218\) | 170.139 | − | 234.177i | 0.780456 | − | 1.07421i | ||||
\(219\) | −205.242 | + | 118.496i | −0.937176 | + | 0.541079i | ||||
\(220\) | 229.927 | + | 48.8724i | 1.04512 | + | 0.222147i | ||||
\(221\) | −8.45925 | − | 80.4844i | −0.0382771 | − | 0.364183i | ||||
\(222\) | −233.487 | + | 49.6291i | −1.05174 | + | 0.223555i | ||||
\(223\) | −177.087 | + | 243.740i | −0.794114 | + | 1.09300i | 0.199470 | + | 0.979904i | \(0.436078\pi\) |
−0.993584 | + | 0.113100i | \(0.963922\pi\) | |||||||
\(224\) | −56.4785 | − | 220.279i | −0.252136 | − | 0.983387i | ||||
\(225\) | 11.6220 | − | 8.44388i | 0.0516533 | − | 0.0375283i | ||||
\(226\) | −369.245 | − | 164.399i | −1.63383 | − | 0.727427i | ||||
\(227\) | −20.1648 | − | 191.855i | −0.0888318 | − | 0.845178i | −0.944689 | − | 0.327966i | \(-0.893637\pi\) |
0.855858 | − | 0.517211i | \(-0.173030\pi\) | |||||||
\(228\) | 121.767 | − | 54.2143i | 0.534067 | − | 0.237782i | ||||
\(229\) | 182.196 | − | 38.7270i | 0.795617 | − | 0.169114i | 0.207868 | − | 0.978157i | \(-0.433348\pi\) |
0.587749 | + | 0.809043i | \(0.300014\pi\) | |||||||
\(230\) | −11.4827 | − | 15.8046i | −0.0499248 | − | 0.0687156i | ||||
\(231\) | −433.057 | − | 287.933i | −1.87470 | − | 1.24646i | ||||
\(232\) | 190.609i | 0.821589i | ||||||||
\(233\) | −73.6612 | − | 7.74210i | −0.316142 | − | 0.0332279i | −0.0548715 | − | 0.998493i | \(-0.517475\pi\) |
−0.261271 | + | 0.965266i | \(0.584142\pi\) | |||||||
\(234\) | −166.949 | − | 35.4861i | −0.713457 | − | 0.151650i | ||||
\(235\) | −161.502 | + | 145.417i | −0.687244 | + | 0.618798i | ||||
\(236\) | −17.9299 | − | 84.3537i | −0.0759743 | − | 0.357431i | ||||
\(237\) | 284.427i | 1.20011i | ||||||||
\(238\) | −18.0524 | + | 106.513i | −0.0758505 | + | 0.447534i | ||||
\(239\) | 56.3866 | + | 77.6096i | 0.235927 | + | 0.324726i | 0.910521 | − | 0.413463i | \(-0.135681\pi\) |
−0.674593 | + | 0.738190i | \(0.735681\pi\) | |||||||
\(240\) | 393.540 | + | 41.3628i | 1.63975 | + | 0.172345i | ||||
\(241\) | 75.7963 | − | 356.594i | 0.314508 | − | 1.47964i | −0.482619 | − | 0.875830i | \(-0.660314\pi\) |
0.797127 | − | 0.603812i | \(-0.206352\pi\) | |||||||
\(242\) | 655.413 | + | 139.312i | 2.70832 | + | 0.575671i | ||||
\(243\) | 125.359 | + | 217.128i | 0.515881 | + | 0.893533i | ||||
\(244\) | 29.8739 | − | 41.1179i | 0.122434 | − | 0.168516i | ||||
\(245\) | 176.870 | − | 188.092i | 0.721917 | − | 0.767722i | ||||
\(246\) | 380.529 | − | 68.2599i | 1.54687 | − | 0.277479i | ||||
\(247\) | −102.584 | − | 177.680i | −0.415319 | − | 0.719354i | ||||
\(248\) | 3.42343 | + | 7.68914i | 0.0138041 | + | 0.0310046i | ||||
\(249\) | −107.120 | − | 61.8455i | −0.430199 | − | 0.248375i | ||||
\(250\) | 217.895 | + | 196.194i | 0.871582 | + | 0.784776i | ||||
\(251\) | 277.219 | − | 90.0739i | 1.10446 | − | 0.358860i | 0.300642 | − | 0.953737i | \(-0.402799\pi\) |
0.803817 | + | 0.594877i | \(0.202799\pi\) | |||||||
\(252\) | 72.9364 | + | 38.1617i | 0.289430 | + | 0.151435i | ||||
\(253\) | −17.1697 | − | 23.6320i | −0.0678644 | − | 0.0934073i | ||||
\(254\) | −377.957 | + | 80.3373i | −1.48802 | + | 0.316288i | ||||
\(255\) | −106.036 | − | 61.2199i | −0.415827 | − | 0.240078i | ||||
\(256\) | 215.213 | + | 239.018i | 0.840674 | + | 0.933663i | ||||
\(257\) | 339.137 | − | 72.0857i | 1.31960 | − | 0.280489i | 0.506310 | − | 0.862351i | \(-0.331009\pi\) |
0.813287 | + | 0.581862i | \(0.197676\pi\) | |||||||
\(258\) | −120.469 | − | 370.764i | −0.466932 | − | 1.43707i | ||||
\(259\) | −7.36065 | − | 177.052i | −0.0284195 | − | 0.683597i | ||||
\(260\) | 156.447i | 0.601720i | ||||||||
\(261\) | −169.325 | − | 152.461i | −0.648755 | − | 0.584141i | ||||
\(262\) | 88.6420 | − | 9.31665i | 0.338328 | − | 0.0355597i | ||||
\(263\) | −320.600 | + | 288.670i | −1.21901 | + | 1.09760i | −0.226684 | + | 0.973968i | \(0.572789\pi\) |
−0.992328 | + | 0.123635i | \(0.960545\pi\) | |||||||
\(264\) | 321.242 | + | 33.7639i | 1.21683 | + | 0.127894i | ||||
\(265\) | −102.240 | + | 74.2816i | −0.385811 | + | 0.280308i | ||||
\(266\) | 68.0221 | + | 265.301i | 0.255722 | + | 0.997373i | ||||
\(267\) | −27.2971 | + | 19.8325i | −0.102236 | + | 0.0742791i | ||||
\(268\) | −47.3130 | + | 106.267i | −0.176541 | + | 0.396518i | ||||
\(269\) | 109.154 | + | 245.164i | 0.405776 | + | 0.911389i | 0.994663 | + | 0.103173i | \(0.0328996\pi\) |
−0.588887 | + | 0.808215i | \(0.700434\pi\) | |||||||
\(270\) | 140.404 | − | 126.421i | 0.520017 | − | 0.468225i | ||||
\(271\) | −88.6507 | + | 199.113i | −0.327124 | + | 0.734733i | −0.999987 | − | 0.00503371i | \(-0.998398\pi\) |
0.672863 | + | 0.739767i | \(0.265064\pi\) | |||||||
\(272\) | −37.9831 | − | 116.900i | −0.139644 | − | 0.429779i | ||||
\(273\) | 127.523 | − | 321.767i | 0.467116 | − | 1.17863i | ||||
\(274\) | 167.436 | − | 230.455i | 0.611079 | − | 0.841078i | ||||
\(275\) | −40.4996 | − | 36.4660i | −0.147271 | − | 0.132604i | ||||
\(276\) | 8.45141 | + | 9.38624i | 0.0306210 | + | 0.0340081i | ||||
\(277\) | 300.029 | + | 333.216i | 1.08314 | + | 1.20295i | 0.978025 | + | 0.208487i | \(0.0668540\pi\) |
0.105114 | + | 0.994460i | \(0.466479\pi\) | |||||||
\(278\) | −351.288 | + | 202.816i | −1.26362 | + | 0.729554i | ||||
\(279\) | −9.56883 | − | 3.10910i | −0.0342969 | − | 0.0111437i | ||||
\(280\) | −43.1783 | + | 154.446i | −0.154208 | + | 0.551591i | ||||
\(281\) | 165.472 | − | 227.753i | 0.588868 | − | 0.810507i | −0.405764 | − | 0.913978i | \(-0.632995\pi\) |
0.994633 | + | 0.103470i | \(0.0329946\pi\) | |||||||
\(282\) | 260.229 | − | 289.014i | 0.922799 | − | 1.02487i | ||||
\(283\) | −102.740 | + | 483.355i | −0.363040 | + | 1.70797i | 0.295432 | + | 0.955364i | \(0.404536\pi\) |
−0.658472 | + | 0.752605i | \(0.728797\pi\) | |||||||
\(284\) | 211.244 | + | 121.962i | 0.743818 | + | 0.429444i | ||||
\(285\) | −308.709 | − | 32.4466i | −1.08319 | − | 0.113848i | ||||
\(286\) | 647.490i | 2.26395i | ||||||||
\(287\) | 2.75628 | + | 286.987i | 0.00960378 | + | 0.999954i | ||||
\(288\) | −168.843 | −0.586260 | ||||||||
\(289\) | 26.2332 | − | 249.593i | 0.0907725 | − | 0.863642i | ||||
\(290\) | −289.037 | + | 500.627i | −0.996679 | + | 1.72630i | ||||
\(291\) | −492.404 | − | 104.664i | −1.69211 | − | 0.359669i | ||||
\(292\) | −105.758 | − | 95.2246i | −0.362184 | − | 0.326112i | ||||
\(293\) | −387.621 | − | 281.623i | −1.32294 | − | 0.961170i | −0.999891 | − | 0.0147873i | \(-0.995293\pi\) |
−0.323047 | − | 0.946383i | \(-0.604707\pi\) | |||||||
\(294\) | −279.596 | + | 367.837i | −0.951008 | + | 1.25115i | ||||
\(295\) | −62.0606 | + | 191.003i | −0.210375 | + | 0.647467i | ||||
\(296\) | 55.0332 | + | 95.3203i | 0.185923 | + | 0.322028i | ||||
\(297\) | 209.942 | − | 189.033i | 0.706875 | − | 0.636473i | ||||
\(298\) | −87.5446 | + | 78.8255i | −0.293774 | + | 0.264515i | ||||
\(299\) | 13.0088 | − | 14.4477i | 0.0435077 | − | 0.0483202i | ||||
\(300\) | 19.0638 | + | 13.8506i | 0.0635459 | + | 0.0461688i | ||||
\(301\) | 286.316 | − | 42.1805i | 0.951216 | − | 0.140135i | ||||
\(302\) | −249.925 | + | 81.2055i | −0.827565 | + | 0.268892i | ||||
\(303\) | 207.186 | + | 92.2449i | 0.683781 | + | 0.304439i | ||||
\(304\) | −208.512 | − | 231.576i | −0.685894 | − | 0.761762i | ||||
\(305\) | −108.128 | + | 48.1416i | −0.354517 | + | 0.157841i | ||||
\(306\) | 73.2770 | + | 32.6250i | 0.239467 | + | 0.106618i | ||||
\(307\) | −20.9393 | − | 28.8204i | −0.0682061 | − | 0.0938776i | 0.773551 | − | 0.633734i | \(-0.218479\pi\) |
−0.841757 | + | 0.539856i | \(0.818479\pi\) | |||||||
\(308\) | 84.0796 | − | 300.746i | 0.272986 | − | 0.976449i | ||||
\(309\) | −352.488 | − | 485.158i | −1.14074 | − | 1.57009i | ||||
\(310\) | −2.66823 | + | 25.3865i | −0.00860718 | + | 0.0818919i | ||||
\(311\) | 170.406 | + | 189.255i | 0.547929 | + | 0.608536i | 0.951965 | − | 0.306207i | \(-0.0990598\pi\) |
−0.404037 | + | 0.914743i | \(0.632393\pi\) | |||||||
\(312\) | 22.4717 | + | 213.804i | 0.0720246 | + | 0.685269i | ||||
\(313\) | 316.114 | − | 351.080i | 1.00995 | − | 1.12166i | 0.0173948 | − | 0.999849i | \(-0.494463\pi\) |
0.992553 | − | 0.121812i | \(-0.0388705\pi\) | |||||||
\(314\) | −161.738 | −0.515089 | ||||||||
\(315\) | −102.663 | − | 161.892i | −0.325915 | − | 0.513944i | ||||
\(316\) | −162.435 | + | 52.7785i | −0.514036 | + | 0.167020i | ||||
\(317\) | 47.0704 | + | 221.449i | 0.148487 | + | 0.698576i | 0.987901 | + | 0.155084i | \(0.0495649\pi\) |
−0.839414 | + | 0.543492i | \(0.817102\pi\) | |||||||
\(318\) | 168.065 | − | 151.326i | 0.528505 | − | 0.475868i | ||||
\(319\) | −432.187 | + | 748.569i | −1.35482 | + | 2.34661i | ||||
\(320\) | 1.72357 | + | 8.10877i | 0.00538616 | + | 0.0253399i | ||||
\(321\) | −455.367 | + | 330.843i | −1.41859 | + | 1.03066i | ||||
\(322\) | −21.9173 | + | 13.8987i | −0.0680661 | + | 0.0431638i | ||||
\(323\) | 29.7954 | + | 91.7009i | 0.0922459 | + | 0.283904i | ||||
\(324\) | −152.553 | + | 169.428i | −0.470844 | + | 0.522925i | ||||
\(325\) | 18.1355 | − | 31.4116i | 0.0558016 | − | 0.0966512i | ||||
\(326\) | −498.240 | + | 221.831i | −1.52834 | + | 0.680463i | ||||
\(327\) | 377.436 | − | 217.913i | 1.15424 | − | 0.666400i | ||||
\(328\) | −84.1552 | − | 157.149i | −0.256571 | − | 0.479112i | ||||
\(329\) | 179.255 | + | 226.321i | 0.544849 | + | 0.687906i | ||||
\(330\) | 792.531 | + | 575.808i | 2.40161 | + | 1.74487i | ||||
\(331\) | 441.669 | − | 254.998i | 1.33435 | − | 0.770386i | 0.348385 | − | 0.937352i | \(-0.386730\pi\) |
0.985963 | + | 0.166966i | \(0.0533969\pi\) | |||||||
\(332\) | 15.4426 | − | 72.6517i | 0.0465138 | − | 0.218830i | ||||
\(333\) | −128.696 | − | 27.3551i | −0.386473 | − | 0.0821475i | ||||
\(334\) | 71.5974 | − | 681.203i | 0.214363 | − | 2.03953i | ||||
\(335\) | 219.159 | − | 159.228i | 0.654206 | − | 0.475308i | ||||
\(336\) | 87.8445 | − | 518.301i | 0.261442 | − | 1.54256i | ||||
\(337\) | −203.681 | −0.604395 | −0.302198 | − | 0.953245i | \(-0.597720\pi\) | ||||
−0.302198 | + | 0.953245i | \(0.597720\pi\) | |||||||
\(338\) | −7.83872 | + | 1.66617i | −0.0231915 | + | 0.00492950i | ||||
\(339\) | −407.213 | − | 452.256i | −1.20122 | − | 1.33409i | ||||
\(340\) | 15.2864 | − | 71.9168i | 0.0449600 | − | 0.211520i | ||||
\(341\) | −3.98971 | + | 37.9595i | −0.0117000 | + | 0.111318i | ||||
\(342\) | 203.352 | 0.594598 | ||||||||
\(343\) | −234.546 | − | 250.274i | −0.683807 | − | 0.729663i | ||||
\(344\) | −145.427 | + | 105.659i | −0.422754 | + | 0.307148i | ||||
\(345\) | −6.11549 | − | 28.7711i | −0.0177260 | − | 0.0833945i | ||||
\(346\) | 166.303 | + | 373.524i | 0.480646 | + | 1.07955i | ||||
\(347\) | 463.524 | − | 48.7183i | 1.33580 | − | 0.140399i | 0.590453 | − | 0.807072i | \(-0.298949\pi\) |
0.745350 | + | 0.666673i | \(0.232282\pi\) | |||||||
\(348\) | 152.016 | − | 341.433i | 0.436827 | − | 0.981130i | ||||
\(349\) | 345.428 | + | 475.440i | 0.989764 | + | 1.36229i | 0.931400 | + | 0.363998i | \(0.118589\pi\) |
0.0583647 | + | 0.998295i | \(0.481411\pi\) | |||||||
\(350\) | −34.6055 | + | 33.8653i | −0.0988729 | + | 0.0967579i | ||||
\(351\) | 152.113 | + | 110.517i | 0.433370 | + | 0.314862i | ||||
\(352\) | 133.173 | + | 626.528i | 0.378332 | + | 1.77991i | ||||
\(353\) | 165.740 | − | 17.4199i | 0.469518 | − | 0.0493483i | 0.133184 | − | 0.991091i | \(-0.457480\pi\) |
0.336333 | + | 0.941743i | \(0.390813\pi\) | |||||||
\(354\) | 74.7226 | − | 351.542i | 0.211081 | − | 0.993058i | ||||
\(355\) | −284.026 | − | 491.948i | −0.800074 | − | 1.38577i | ||||
\(356\) | −16.3916 | − | 11.9092i | −0.0460437 | − | 0.0334527i | ||||
\(357\) | −90.0602 | + | 135.452i | −0.252270 | + | 0.379418i | ||||
\(358\) | 480.664 | + | 156.177i | 1.34264 | + | 0.436249i | ||||
\(359\) | 184.043 | − | 39.1195i | 0.512654 | − | 0.108968i | 0.0556812 | − | 0.998449i | \(-0.482267\pi\) |
0.456973 | + | 0.889481i | \(0.348934\pi\) | |||||||
\(360\) | 103.117 | + | 59.5349i | 0.286437 | + | 0.165375i | ||||
\(361\) | −77.9913 | − | 86.6181i | −0.216042 | − | 0.239939i | ||||
\(362\) | −17.3219 | − | 7.71220i | −0.0478505 | − | 0.0213044i | ||||
\(363\) | 816.197 | + | 593.002i | 2.24848 | + | 1.63361i | ||||
\(364\) | 207.423 | + | 13.1204i | 0.569844 | + | 0.0360451i | ||||
\(365\) | 102.413 | + | 315.194i | 0.280583 | + | 0.863546i | ||||
\(366\) | 183.433 | − | 105.905i | 0.501183 | − | 0.289358i | ||||
\(367\) | −231.047 | − | 518.940i | −0.629556 | − | 1.41401i | −0.893321 | − | 0.449419i | \(-0.851631\pi\) |
0.263765 | − | 0.964587i | \(-0.415036\pi\) | |||||||
\(368\) | 14.7641 | − | 25.5722i | 0.0401199 | − | 0.0694896i | ||||
\(369\) | 206.914 | + | 50.9391i | 0.560742 | + | 0.138046i | ||||
\(370\) | 333.807i | 0.902180i | ||||||||
\(371\) | 89.9109 | + | 141.783i | 0.242348 | + | 0.382164i | ||||
\(372\) | − | 16.5037i | − | 0.0443647i | ||||||
\(373\) | 421.095 | − | 467.673i | 1.12894 | − | 1.25382i | 0.165408 | − | 0.986225i | \(-0.447106\pi\) |
0.963533 | − | 0.267591i | \(-0.0862275\pi\) | |||||||
\(374\) | 63.2660 | − | 297.643i | 0.169160 | − | 0.795837i | ||||
\(375\) | 179.562 | + | 403.303i | 0.478832 | + | 1.07547i | ||||
\(376\) | −163.822 | − | 72.9383i | −0.435697 | − | 0.193985i | ||||
\(377\) | −547.130 | − | 177.773i | −1.45127 | − | 0.471547i | ||||
\(378\) | −155.838 | − | 196.756i | −0.412270 | − | 0.520517i | ||||
\(379\) | 176.348 | − | 542.743i | 0.465298 | − | 1.43204i | −0.393310 | − | 0.919406i | \(-0.628670\pi\) |
0.858608 | − | 0.512633i | \(-0.171330\pi\) | |||||||
\(380\) | −38.7540 | − | 182.323i | −0.101984 | − | 0.479798i | ||||
\(381\) | −569.075 | − | 120.961i | −1.49363 | − | 0.317482i | ||||
\(382\) | 131.819 | + | 296.070i | 0.345076 | + | 0.775053i | ||||
\(383\) | −153.911 | − | 266.581i | −0.401855 | − | 0.696033i | 0.592095 | − | 0.805868i | \(-0.298301\pi\) |
−0.993950 | + | 0.109835i | \(0.964968\pi\) | |||||||
\(384\) | 146.718 | + | 451.552i | 0.382078 | + | 1.17592i | ||||
\(385\) | −519.763 | + | 508.645i | −1.35003 | + | 1.32116i | ||||
\(386\) | 647.839 | + | 210.496i | 1.67834 | + | 0.545325i | ||||
\(387\) | 22.4609 | − | 213.701i | 0.0580386 | − | 0.552200i | ||||
\(388\) | −31.5977 | − | 300.632i | −0.0814374 | − | 0.774825i | ||||
\(389\) | 59.1263 | + | 562.550i | 0.151996 | + | 1.44614i | 0.758817 | + | 0.651304i | \(0.225778\pi\) |
−0.606821 | + | 0.794838i | \(0.707556\pi\) | |||||||
\(390\) | −265.189 | + | 595.623i | −0.679971 | + | 1.52724i | ||||
\(391\) | −7.39167 | + | 5.37036i | −0.0189045 | + | 0.0137349i | ||||
\(392\) | 201.148 | + | 70.1999i | 0.513134 | + | 0.179081i | ||||
\(393\) | 127.632 | + | 41.4700i | 0.324762 | + | 0.105522i | ||||
\(394\) | 345.558 | + | 153.852i | 0.877050 | + | 0.390488i | ||||
\(395\) | 389.057 | + | 82.6965i | 0.984953 | + | 0.209358i | ||||
\(396\) | −200.797 | − | 115.930i | −0.507063 | − | 0.292753i | ||||
\(397\) | 10.3484 | − | 98.4581i | 0.0260664 | − | 0.248005i | −0.973728 | − | 0.227715i | \(-0.926874\pi\) |
0.999794 | − | 0.0202899i | \(-0.00645891\pi\) | |||||||
\(398\) | −270.472 | − | 832.428i | −0.679579 | − | 2.09153i | ||||
\(399\) | −68.9087 | + | 406.576i | −0.172703 | + | 1.01899i | ||||
\(400\) | 17.0237 | − | 52.3934i | 0.0425591 | − | 0.130984i | ||||
\(401\) | 106.415 | + | 184.316i | 0.265374 | + | 0.459642i | 0.967662 | − | 0.252252i | \(-0.0811711\pi\) |
−0.702287 | + | 0.711894i | \(0.747838\pi\) | |||||||
\(402\) | −360.259 | + | 324.379i | −0.896167 | + | 0.806912i | ||||
\(403\) | −25.2641 | + | 2.65536i | −0.0626901 | + | 0.00658899i | ||||
\(404\) | −14.2353 | + | 135.440i | −0.0352359 | + | 0.335248i | ||||
\(405\) | 504.954 | − | 164.069i | 1.24680 | − | 0.405110i | ||||
\(406\) | 639.509 | + | 425.200i | 1.57514 | + | 1.04729i | ||||
\(407\) | 499.130i | 1.22636i | ||||||||
\(408\) | 10.5607 | − | 100.479i | 0.0258841 | − | 0.246271i | ||||
\(409\) | −121.884 | − | 70.3699i | −0.298005 | − | 0.172053i | 0.343541 | − | 0.939138i | \(-0.388374\pi\) |
−0.641546 | + | 0.767084i | \(0.721707\pi\) | |||||||
\(410\) | 17.2679 | − | 540.357i | 0.0421169 | − | 1.31794i | ||||
\(411\) | 371.438 | − | 214.450i | 0.903742 | − | 0.521776i | ||||
\(412\) | 211.664 | − | 291.331i | 0.513748 | − | 0.707113i | ||||
\(413\) | 248.034 | + | 98.3006i | 0.600566 | + | 0.238016i | ||||
\(414\) | 5.95456 | + | 18.3262i | 0.0143830 | + | 0.0442663i | ||||
\(415\) | −115.741 | + | 128.543i | −0.278893 | + | 0.309742i | ||||
\(416\) | −389.448 | + | 173.393i | −0.936173 | + | 0.416811i | ||||
\(417\) | −607.398 | + | 63.8401i | −1.45659 | + | 0.153094i | ||||
\(418\) | −160.392 | − | 754.584i | −0.383712 | − | 1.80523i | ||||
\(419\) | − | 494.024i | − | 1.17906i | −0.807748 | − | 0.589528i | \(-0.799314\pi\) | ||
0.807748 | − | 0.589528i | \(-0.200686\pi\) | |||||||
\(420\) | 200.519 | − | 242.219i | 0.477427 | − | 0.576712i | ||||
\(421\) | 257.918 | + | 83.8025i | 0.612631 | + | 0.199056i | 0.598866 | − | 0.800849i | \(-0.295618\pi\) |
0.0137652 | + | 0.999905i | \(0.495618\pi\) | |||||||
\(422\) | 198.485 | + | 178.717i | 0.470344 | + | 0.423500i | ||||
\(423\) | 195.829 | − | 87.1888i | 0.462953 | − | 0.206120i | ||||
\(424\) | −90.3088 | − | 52.1398i | −0.212992 | − | 0.122971i | ||||
\(425\) | −11.4059 | + | 12.6675i | −0.0268374 | + | 0.0298059i | ||||
\(426\) | 597.513 | + | 822.405i | 1.40261 | + | 1.93053i | ||||
\(427\) | 54.7597 | + | 147.397i | 0.128243 | + | 0.345192i | ||||
\(428\) | −273.442 | − | 198.667i | −0.638883 | − | 0.464175i | ||||
\(429\) | −396.527 | + | 890.615i | −0.924306 | + | 2.07603i | ||||
\(430\) | −542.179 | + | 56.9853i | −1.26088 | + | 0.132524i | ||||
\(431\) | −63.7189 | − | 606.245i | −0.147840 | − | 1.40660i | −0.777086 | − | 0.629395i | \(-0.783303\pi\) |
0.629246 | − | 0.777206i | \(-0.283364\pi\) | |||||||
\(432\) | 260.885 | + | 116.154i | 0.603901 | + | 0.268874i | ||||
\(433\) | 218.209 | − | 300.340i | 0.503948 | − | 0.693625i | −0.478936 | − | 0.877850i | \(-0.658977\pi\) |
0.982884 | + | 0.184225i | \(0.0589775\pi\) | |||||||
\(434\) | 33.4345 | + | 5.66667i | 0.0770381 | + | 0.0130568i | ||||
\(435\) | −704.154 | + | 511.598i | −1.61874 | + | 1.17609i | ||||
\(436\) | 194.487 | + | 175.117i | 0.446070 | + | 0.401643i | ||||
\(437\) | −11.5815 | + | 20.0598i | −0.0265024 | + | 0.0459035i | ||||
\(438\) | −241.227 | − | 541.804i | −0.550746 | − | 1.23700i | ||||
\(439\) | −28.0354 | + | 31.1365i | −0.0638620 | + | 0.0709260i | −0.774229 | − | 0.632905i | \(-0.781862\pi\) |
0.710367 | + | 0.703831i | \(0.248529\pi\) | |||||||
\(440\) | 139.585 | − | 429.598i | 0.317238 | − | 0.976358i | ||||
\(441\) | −223.253 | + | 122.537i | −0.506242 | + | 0.277863i | ||||
\(442\) | 202.523 | 0.458197 | ||||||||
\(443\) | 690.911 | − | 146.858i | 1.55962 | − | 0.331507i | 0.654298 | − | 0.756237i | \(-0.272964\pi\) |
0.905320 | + | 0.424730i | \(0.139631\pi\) | |||||||
\(444\) | −22.5591 | − | 214.636i | −0.0508088 | − | 0.483414i | ||||
\(445\) | 19.1915 | + | 43.1049i | 0.0431271 | + | 0.0968650i | ||||
\(446\) | −560.299 | − | 504.495i | −1.25627 | − | 1.13115i | ||||
\(447\) | −168.690 | + | 54.8106i | −0.377382 | + | 0.122619i | ||||
\(448\) | 10.8954 | − | 1.60513i | 0.0243202 | − | 0.00358288i | ||||
\(449\) | −673.669 | − | 489.450i | −1.50038 | − | 1.09009i | −0.970231 | − | 0.242182i | \(-0.922137\pi\) |
−0.530147 | − | 0.847906i | \(-0.677863\pi\) | |||||||
\(450\) | 17.9751 | + | 31.1337i | 0.0399446 | + | 0.0691860i | ||||
\(451\) | 25.8201 | − | 807.977i | 0.0572508 | − | 1.79152i | ||||
\(452\) | 182.719 | − | 316.479i | 0.404246 | − | 0.700175i | ||||
\(453\) | −393.499 | − | 41.3584i | −0.868651 | − | 0.0912989i | ||||
\(454\) | 482.766 | 1.06336 | ||||||||
\(455\) | −403.056 | − | 267.986i | −0.885836 | − | 0.588980i | ||||
\(456\) | −79.1505 | − | 243.600i | −0.173576 | − | 0.534211i | ||||
\(457\) | −12.3933 | − | 1.30259i | −0.0271188 | − | 0.00285030i | 0.0909593 | − | 0.995855i | \(-0.471007\pi\) |
−0.118078 | + | 0.993004i | \(0.537673\pi\) | |||||||
\(458\) | 48.7245 | + | 463.582i | 0.106385 | + | 1.01219i | ||||
\(459\) | −59.1259 | − | 65.6660i | −0.128815 | − | 0.143063i | ||||
\(460\) | 15.2963 | − | 8.83132i | 0.0332528 | − | 0.0191985i | ||||
\(461\) | −650.906 | − | 211.492i | −1.41194 | − | 0.458768i | −0.498910 | − | 0.866654i | \(-0.666266\pi\) |
−0.913033 | + | 0.407886i | \(0.866266\pi\) | |||||||
\(462\) | 829.892 | − | 1002.48i | 1.79630 | − | 2.16986i | ||||
\(463\) | −255.442 | + | 82.9982i | −0.551711 | + | 0.179262i | −0.571588 | − | 0.820541i | \(-0.693672\pi\) |
0.0198771 | + | 0.999802i | \(0.493672\pi\) | |||||||
\(464\) | −868.979 | − | 91.3334i | −1.87280 | − | 0.196839i | ||||
\(465\) | −19.2170 | + | 33.2848i | −0.0413268 | + | 0.0715801i | ||||
\(466\) | 38.5372 | − | 181.303i | 0.0826979 | − | 0.389063i | ||||
\(467\) | −100.521 | + | 225.773i | −0.215248 | + | 0.483454i | −0.988608 | − | 0.150512i | \(-0.951908\pi\) |
0.773360 | + | 0.633967i | \(0.218574\pi\) | |||||||
\(468\) | 47.6861 | − | 146.763i | 0.101893 | − | 0.313596i | ||||
\(469\) | −192.731 | − | 303.922i | −0.410940 | − | 0.648022i | ||||
\(470\) | −319.670 | − | 439.988i | −0.680148 | − | 0.936144i | ||||
\(471\) | −222.469 | − | 99.0494i | −0.472332 | − | 0.210296i | ||||
\(472\) | −164.810 | + | 17.3223i | −0.349175 | + | 0.0366997i | ||||
\(473\) | −810.702 | + | 85.2082i | −1.71396 | + | 0.180144i | ||||
\(474\) | −707.885 | − | 74.4017i | −1.49343 | − | 0.156966i | ||||
\(475\) | −13.3540 | + | 41.0995i | −0.0281137 | + | 0.0865252i | ||||
\(476\) | −94.0679 | − | 26.2985i | −0.197622 | − | 0.0552490i | ||||
\(477\) | 118.552 | − | 38.5200i | 0.248538 | − | 0.0807548i | ||||
\(478\) | −207.905 | + | 120.034i | −0.434948 | + | 0.251117i | ||||
\(479\) | −323.742 | + | 144.139i | −0.675871 | + | 0.300917i | −0.715820 | − | 0.698285i | \(-0.753947\pi\) |
0.0399492 | + | 0.999202i | \(0.487280\pi\) | |||||||
\(480\) | −134.098 | + | 630.883i | −0.279372 | + | 1.31434i | ||||
\(481\) | −324.938 | + | 69.0677i | −0.675547 | + | 0.143592i | ||||
\(482\) | 867.667 | + | 281.922i | 1.80014 | + | 0.584900i | ||||
\(483\) | −38.6586 | + | 5.69525i | −0.0800386 | + | 0.0117914i | ||||
\(484\) | −187.207 | + | 576.165i | −0.386792 | + | 1.19042i | ||||
\(485\) | −286.331 | + | 643.110i | −0.590373 | + | 1.32600i | ||||
\(486\) | −573.183 | + | 255.198i | −1.17939 | + | 0.525098i | ||||
\(487\) | 175.081 | + | 37.2146i | 0.359509 | + | 0.0764161i | 0.384126 | − | 0.923281i | \(-0.374503\pi\) |
−0.0246160 | + | 0.999697i | \(0.507836\pi\) | |||||||
\(488\) | −72.5800 | − | 65.3514i | −0.148730 | − | 0.133917i | ||||
\(489\) | −821.174 | −1.67929 | ||||||||
\(490\) | 421.858 | + | 489.397i | 0.860935 | + | 0.998769i | ||||
\(491\) | −880.778 | −1.79384 | −0.896922 | − | 0.442188i | \(-0.854202\pi\) | ||||
−0.896922 | + | 0.442188i | \(0.854202\pi\) | |||||||
\(492\) | 25.4149 | + | 348.613i | 0.0516563 | + | 0.708563i | ||||
\(493\) | 234.139 | + | 135.180i | 0.474926 | + | 0.274199i | ||||
\(494\) | 469.047 | − | 208.833i | 0.949488 | − | 0.422739i | ||||
\(495\) | 269.979 | + | 467.618i | 0.545413 | + | 0.944683i | ||||
\(496\) | −36.6949 | + | 11.9229i | −0.0739817 | + | 0.0240381i | ||||
\(497\) | −676.062 | + | 335.315i | −1.36029 | + | 0.674678i | ||||
\(498\) | 181.942 | − | 250.422i | 0.365346 | − | 0.502856i | ||||
\(499\) | 158.141 | − | 355.190i | 0.316915 | − | 0.711803i | −0.682910 | − | 0.730502i | \(-0.739286\pi\) |
0.999825 | + | 0.0186996i | \(0.00595261\pi\) | |||||||
\(500\) | −197.005 | + | 177.384i | −0.394011 | + | 0.354769i | ||||
\(501\) | 515.655 | − | 893.140i | 1.02925 | − | 1.78271i | ||||
\(502\) | 151.661 | + | 713.507i | 0.302113 | + | 1.42133i | ||||
\(503\) | 149.759 | − | 460.912i | 0.297732 | − | 0.916326i | −0.684557 | − | 0.728959i | \(-0.740005\pi\) |
0.982290 | − | 0.187367i | \(-0.0599955\pi\) | |||||||
\(504\) | 87.5815 | − | 131.724i | 0.173773 | − | 0.261357i | ||||
\(505\) | 186.417 | − | 256.581i | 0.369142 | − | 0.508081i | ||||
\(506\) | 63.3070 | − | 36.5503i | 0.125113 | − | 0.0722338i | ||||
\(507\) | −11.8024 | − | 2.50868i | −0.0232790 | − | 0.00494810i | ||||
\(508\) | −36.5176 | − | 347.442i | −0.0718851 | − | 0.683941i | ||||
\(509\) | 40.1459 | − | 8.53328i | 0.0788722 | − | 0.0167648i | −0.168307 | − | 0.985735i | \(-0.553830\pi\) |
0.247179 | + | 0.968970i | \(0.420497\pi\) | |||||||
\(510\) | 180.102 | − | 247.889i | 0.353141 | − | 0.486057i | ||||
\(511\) | 426.485 | − | 109.349i | 0.834608 | − | 0.213990i | ||||
\(512\) | −243.396 | + | 176.837i | −0.475382 | + | 0.345386i | ||||
\(513\) | −204.649 | − | 91.1154i | −0.398925 | − | 0.177613i | ||||
\(514\) | 90.6947 | + | 862.903i | 0.176449 | + | 1.67880i | ||||
\(515\) | −766.113 | + | 341.095i | −1.48760 | + | 0.662321i | ||||
\(516\) | 344.767 | − | 73.2825i | 0.668153 | − | 0.142020i | ||||
\(517\) | −477.991 | − | 657.898i | −0.924547 | − | 1.27253i | ||||
\(518\) | 442.573 | + | 27.9947i | 0.854388 | + | 0.0540437i | ||||
\(519\) | 615.622i | 1.18617i | ||||||||
\(520\) | 298.987 | + | 31.4248i | 0.574976 | + | 0.0604324i | ||||
\(521\) | 80.4897 | + | 17.1086i | 0.154491 | + | 0.0328380i | 0.284508 | − | 0.958674i | \(-0.408170\pi\) |
−0.130017 | + | 0.991512i | \(0.541503\pi\) | |||||||
\(522\) | 423.739 | − | 381.536i | 0.811760 | − | 0.730912i | ||||
\(523\) | 127.504 | + | 599.857i | 0.243793 | + | 1.14695i | 0.914295 | + | 0.405048i | \(0.132745\pi\) |
−0.670503 | + | 0.741907i | \(0.733922\pi\) | |||||||
\(524\) | 80.5852i | 0.153789i | ||||||||
\(525\) | −68.3388 | + | 25.3886i | −0.130169 | + | 0.0483593i | ||||
\(526\) | −634.580 | − | 873.424i | −1.20643 | − | 1.66050i | ||||
\(527\) | 11.8730 | + | 1.24791i | 0.0225295 | + | 0.00236794i | ||||
\(528\) | −307.857 | + | 1448.35i | −0.583063 | + | 2.74310i | ||||
\(529\) | 515.293 | + | 109.529i | 0.974089 | + | 0.207049i | ||||
\(530\) | −158.128 | − | 273.887i | −0.298356 | − | 0.516767i | ||||
\(531\) | 116.438 | − | 160.263i | 0.219280 | − | 0.301813i | ||||
\(532\) | −244.981 | + | 36.0909i | −0.460490 | + | 0.0678401i | ||||
\(533\) | 529.573 | − | 94.9957i | 0.993571 | − | 0.178228i | ||||
\(534\) | −42.2189 | − | 73.1252i | −0.0790615 | − | 0.136939i | ||||
\(535\) | 320.151 | + | 719.070i | 0.598413 | + | 1.34406i | ||||
\(536\) | 193.584 | + | 111.766i | 0.361164 | + | 0.208518i | ||||
\(537\) | 565.504 | + | 509.182i | 1.05308 | + | 0.948197i | ||||
\(538\) | −638.718 | + | 207.532i | −1.18721 | + | 0.385747i | ||||
\(539\) | 630.790 | + | 731.778i | 1.17030 | + | 1.35766i | ||||
\(540\) | 100.405 | + | 138.196i | 0.185936 | + | 0.255918i | ||||
\(541\) | −499.785 | + | 106.233i | −0.923818 | + | 0.196363i | −0.645178 | − | 0.764032i | \(-0.723217\pi\) |
−0.278640 | + | 0.960396i | \(0.589883\pi\) | |||||||
\(542\) | −472.364 | − | 272.720i | −0.871520 | − | 0.503173i | ||||
\(543\) | −19.1030 | − | 21.2161i | −0.0351806 | − | 0.0390720i | ||||
\(544\) | 195.967 | − | 41.6540i | 0.360233 | − | 0.0765698i | ||||
\(545\) | −188.336 | − | 579.638i | −0.345570 | − | 1.06356i | ||||
\(546\) | 767.459 | + | 401.549i | 1.40560 | + | 0.735437i | ||||
\(547\) | − | 126.159i | − | 0.230638i | −0.993329 | − | 0.115319i | \(-0.963211\pi\) | ||
0.993329 | − | 0.115319i | \(-0.0367890\pi\) | |||||||
\(548\) | 191.396 | + | 172.334i | 0.349263 | + | 0.314478i | ||||
\(549\) | 116.108 | − | 12.2035i | 0.211490 | − | 0.0222285i | ||||
\(550\) | 101.351 | − | 91.2568i | 0.184274 | − | 0.165921i | ||||
\(551\) | 681.661 | + | 71.6455i | 1.23714 | + | 0.130028i | ||||
\(552\) | 19.6357 | − | 14.2662i | 0.0355719 | − | 0.0258445i | ||||
\(553\) | 142.270 | − | 508.890i | 0.257270 | − | 0.920235i | ||||
\(554\) | −907.795 | + | 659.552i | −1.63862 | + | 1.19053i | ||||
\(555\) | −204.425 | + | 459.147i | −0.368334 | + | 0.827292i | ||||
\(556\) | −149.168 | − | 335.037i | −0.268288 | − | 0.602584i | ||||
\(557\) | 230.183 | − | 207.257i | 0.413254 | − | 0.372096i | −0.436118 | − | 0.899889i | \(-0.643647\pi\) |
0.849373 | + | 0.527793i | \(0.176980\pi\) | |||||||
\(558\) | 10.2410 | − | 23.0017i | 0.0183531 | − | 0.0412217i | ||||
\(559\) | −167.653 | − | 515.984i | −0.299916 | − | 0.923048i | ||||
\(560\) | −683.423 | − | 270.854i | −1.22040 | − | 0.483667i | ||||
\(561\) | 269.300 | − | 370.660i | 0.480036 | − | 0.660713i | ||||
\(562\) | 523.548 | + | 471.405i | 0.931580 | + | 0.838798i | ||||
\(563\) | 61.1917 | + | 67.9603i | 0.108689 | + | 0.120711i | 0.795034 | − | 0.606565i | \(-0.207453\pi\) |
−0.686346 | + | 0.727276i | \(0.740786\pi\) | |||||||
\(564\) | 235.281 | + | 261.306i | 0.417164 | + | 0.463308i | ||||
\(565\) | −737.020 | + | 425.519i | −1.30446 | + | 0.753130i | ||||
\(566\) | −1176.10 | − | 382.139i | −2.07792 | − | 0.675158i | ||||
\(567\) | −175.181 | − | 683.245i | −0.308962 | − | 1.20502i | ||||
\(568\) | 275.514 | − | 379.213i | 0.485060 | − | 0.667628i | ||||
\(569\) | −6.18727 | + | 6.87166i | −0.0108739 | + | 0.0120767i | −0.748557 | − | 0.663070i | \(-0.769253\pi\) |
0.737683 | + | 0.675147i | \(0.235920\pi\) | |||||||
\(570\) | 161.507 | − | 759.829i | 0.283345 | − | 1.33303i | ||||
\(571\) | 183.005 | + | 105.658i | 0.320499 | + | 0.185040i | 0.651615 | − | 0.758550i | \(-0.274092\pi\) |
−0.331116 | + | 0.943590i | \(0.607425\pi\) | |||||||
\(572\) | −582.207 | − | 61.1924i | −1.01784 | − | 0.106980i | ||||
\(573\) | 487.968i | 0.851602i | ||||||||
\(574\) | −714.976 | − | 68.2114i | −1.24560 | − | 0.118835i | ||||
\(575\) | −4.09494 | −0.00712163 | ||||||||
\(576\) | 0.854725 | − | 8.13217i | 0.00148390 | − | 0.0141183i | ||||
\(577\) | 330.736 | − | 572.852i | 0.573199 | − | 0.992810i | −0.423035 | − | 0.906113i | \(-0.639035\pi\) |
0.996235 | − | 0.0866971i | \(-0.0276312\pi\) | |||||||
\(578\) | 614.326 | + | 130.579i | 1.06285 | + | 0.225915i | ||||
\(579\) | 762.185 | + | 686.275i | 1.31638 | + | 1.18528i | ||||
\(580\) | −422.835 | − | 307.208i | −0.729026 | − | 0.529668i | ||||
\(581\) | 160.721 | + | 164.233i | 0.276627 | + | 0.282674i | ||||
\(582\) | 389.294 | − | 1198.12i | 0.668889 | − | 2.05863i | ||||
\(583\) | −236.444 | − | 409.533i | −0.405564 | − | 0.702458i | ||||
\(584\) | −203.227 | + | 182.987i | −0.347992 | + | 0.313333i | ||||
\(585\) | −267.065 | + | 240.466i | −0.456521 | + | 0.411054i | ||||
\(586\) | 802.301 | − | 891.046i | 1.36911 | − | 1.52056i | ||||
\(587\) | 775.574 | + | 563.488i | 1.32125 | + | 0.959945i | 0.999916 | + | 0.0129798i | \(0.00413172\pi\) |
0.321336 | + | 0.946965i | \(0.395868\pi\) | |||||||
\(588\) | −304.326 | − | 286.169i | −0.517562 | − | 0.486683i | ||||
\(589\) | 28.7850 | − | 9.35280i | 0.0488709 | − | 0.0158791i | ||||
\(590\) | −459.135 | − | 204.420i | −0.778196 | − | 0.346475i | ||||
\(591\) | 381.090 | + | 423.244i | 0.644823 | + | 0.716148i | ||||
\(592\) | −460.932 | + | 205.220i | −0.778601 | + | 0.346656i | ||||
\(593\) | −195.738 | − | 87.1482i | −0.330081 | − | 0.146961i | 0.235004 | − | 0.971994i | \(-0.424490\pi\) |
−0.565085 | + | 0.825033i | \(0.691156\pi\) | |||||||
\(594\) | 415.548 | + | 571.953i | 0.699576 | + | 0.962884i | ||||
\(595\) | 159.095 | + | 162.572i | 0.267386 | + | 0.273231i | ||||
\(596\) | −62.6043 | − | 86.1675i | −0.105041 | − | 0.144576i | ||||
\(597\) | 137.753 | − | 1310.63i | 0.230742 | − | 2.19537i | ||||
\(598\) | 32.5548 | + | 36.1557i | 0.0544394 | + | 0.0604611i | ||||
\(599\) | −100.534 | − | 956.521i | −0.167837 | − | 1.59686i | −0.676861 | − | 0.736111i | \(-0.736660\pi\) |
0.509024 | − | 0.860753i | \(-0.330007\pi\) | |||||||
\(600\) | 30.2993 | − | 33.6508i | 0.0504989 | − | 0.0560847i | ||||
\(601\) | −456.675 | −0.759859 | −0.379929 | − | 0.925016i | \(-0.624052\pi\) | ||||
−0.379929 | + | 0.925016i | \(0.624052\pi\) | |||||||
\(602\) | 30.0834 | + | 723.620i | 0.0499725 | + | 1.20203i | ||||
\(603\) | −254.126 | + | 82.5706i | −0.421436 | + | 0.136933i | ||||
\(604\) | −49.3983 | − | 232.401i | −0.0817852 | − | 0.384769i | ||||
\(605\) | 1048.45 | − | 944.029i | 1.73298 | − | 1.56038i | ||||
\(606\) | −283.777 | + | 491.515i | −0.468278 | + | 0.811082i | ||||
\(607\) | −63.9037 | − | 300.643i | −0.105278 | − | 0.495294i | −0.998918 | − | 0.0465090i | \(-0.985190\pi\) |
0.893640 | − | 0.448785i | \(-0.148143\pi\) | |||||||
\(608\) | 410.910 | − | 298.544i | 0.675839 | − | 0.491026i | ||||
\(609\) | 619.241 | + | 976.497i | 1.01682 | + | 1.60344i | ||||
\(610\) | −91.5307 | − | 281.702i | −0.150050 | − | 0.461807i | ||||
\(611\) | 362.155 | − | 402.214i | 0.592726 | − | 0.658288i | ||||
\(612\) | −36.2608 | + | 62.8056i | −0.0592497 | + | 0.102623i | ||||
\(613\) | −400.803 | + | 178.449i | −0.653838 | + | 0.291108i | −0.706720 | − | 0.707493i | \(-0.749826\pi\) |
0.0528818 | + | 0.998601i | \(0.483159\pi\) | |||||||
\(614\) | 77.2059 | − | 44.5749i | 0.125743 | − | 0.0725975i | ||||
\(615\) | 354.670 | − | 732.679i | 0.576699 | − | 1.19135i | ||||
\(616\) | −557.870 | − | 221.095i | −0.905633 | − | 0.358920i | ||||
\(617\) | 365.292 | + | 265.401i | 0.592046 | + | 0.430147i | 0.843047 | − | 0.537840i | \(-0.180760\pi\) |
−0.251001 | + | 0.967987i | \(0.580760\pi\) | |||||||
\(618\) | 1299.67 | − | 750.365i | 2.10303 | − | 1.21418i | ||||
\(619\) | 47.1892 | − | 222.008i | 0.0762345 | − | 0.358655i | −0.923451 | − | 0.383715i | \(-0.874644\pi\) |
0.999686 | + | 0.0250601i | \(0.00797773\pi\) | |||||||
\(620\) | −22.5747 | − | 4.79841i | −0.0364109 | − | 0.00773937i | ||||
\(621\) | 2.21886 | − | 21.1111i | 0.00357305 | − | 0.0339953i | ||||
\(622\) | −515.594 | + | 374.601i | −0.828930 | + | 0.602253i | ||||
\(623\) | 58.7595 | − | 21.8298i | 0.0943171 | − | 0.0350399i | ||||
\(624\) | −985.492 | −1.57931 | ||||||||
\(625\) | 671.460 | − | 142.723i | 1.07434 | − | 0.228357i | ||||
\(626\) | 791.080 | + | 878.584i | 1.26371 | + | 1.40349i | ||||
\(627\) | 241.495 | − | 1136.15i | 0.385160 | − | 1.81204i | ||||
\(628\) | 15.2854 | − | 145.431i | 0.0243398 | − | 0.231578i | ||||
\(629\) | 156.119 | 0.248201 | ||||||||
\(630\) | 429.774 | − | 213.161i | 0.682181 | − | 0.338350i | ||||
\(631\) | 551.369 | − | 400.593i | 0.873803 | − | 0.634855i | −0.0578021 | − | 0.998328i | \(-0.518409\pi\) |
0.931605 | + | 0.363473i | \(0.118409\pi\) | |||||||
\(632\) | 68.2376 | + | 321.033i | 0.107971 | + | 0.507963i | ||||
\(633\) | 163.567 | + | 367.377i | 0.258399 | + | 0.580374i | ||||
\(634\) | −563.456 | + | 59.2217i | −0.888733 | + | 0.0934096i | ||||
\(635\) | −330.914 | + | 743.245i | −0.521125 | + | 1.17047i | ||||
\(636\) | 120.185 | + | 165.421i | 0.188971 | + | 0.260096i | ||||
\(637\) | −389.108 | + | 511.911i | −0.610844 | + | 0.803628i | ||||
\(638\) | −1749.99 | − | 1271.44i | −2.74294 | − | 1.99286i | ||||
\(639\) | 116.495 | + | 548.068i | 0.182309 | + | 0.857696i | ||||
\(640\) | 660.318 | − | 69.4022i | 1.03175 | − | 0.108441i | ||||
\(641\) | −63.1438 | + | 297.068i | −0.0985082 | + | 0.463445i | 0.901050 | + | 0.433716i | \(0.142798\pi\) |
−0.999558 | + | 0.0297290i | \(0.990536\pi\) | |||||||
\(642\) | −704.289 | − | 1219.86i | −1.09702 | − | 1.90010i | ||||
\(643\) | 348.137 | + | 252.937i | 0.541427 | + | 0.393370i | 0.824615 | − | 0.565695i | \(-0.191392\pi\) |
−0.283188 | + | 0.959064i | \(0.591392\pi\) | |||||||
\(644\) | −10.4261 | − | 21.0210i | −0.0161895 | − | 0.0326413i | ||||
\(645\) | −780.659 | − | 253.652i | −1.21032 | − | 0.393258i | ||||
\(646\) | −236.020 | + | 50.1676i | −0.365356 | + | 0.0776588i | ||||
\(647\) | 5.99223 | + | 3.45961i | 0.00926156 | + | 0.00534716i | 0.504624 | − | 0.863339i | \(-0.331631\pi\) |
−0.495362 | + | 0.868687i | \(0.664965\pi\) | |||||||
\(648\) | 293.152 | + | 325.578i | 0.452395 | + | 0.502436i | ||||
\(649\) | −686.529 | − | 305.663i | −1.05783 | − | 0.470975i | ||||
\(650\) | 73.4336 | + | 53.3526i | 0.112975 | + | 0.0820810i | ||||
\(651\) | 42.5185 | + | 28.2700i | 0.0653126 | + | 0.0434254i | ||||
\(652\) | −152.378 | − | 468.970i | −0.233708 | − | 0.719279i | ||||
\(653\) | −765.508 | + | 441.966i | −1.17229 | + | 0.676824i | −0.954219 | − | 0.299108i | \(-0.903311\pi\) |
−0.218075 | + | 0.975932i | \(0.569978\pi\) | |||||||
\(654\) | 443.612 | + | 996.369i | 0.678306 | + | 1.52350i | ||||
\(655\) | 93.8338 | − | 162.525i | 0.143258 | − | 0.248130i | ||||
\(656\) | 756.760 | − | 308.360i | 1.15360 | − | 0.470062i | ||||
\(657\) | − | 326.899i | − | 0.497563i | ||||||
\(658\) | −610.160 | + | 386.930i | −0.927296 | + | 0.588040i | ||||
\(659\) | 311.382i | 0.472507i | 0.971691 | + | 0.236253i | \(0.0759196\pi\) | ||||
−0.971691 | + | 0.236253i | \(0.924080\pi\) | |||||||
\(660\) | −592.652 | + | 658.206i | −0.897957 | + | 0.997283i | ||||
\(661\) | 28.4714 | − | 133.947i | 0.0430732 | − | 0.202644i | −0.951349 | − | 0.308115i | \(-0.900302\pi\) |
0.994422 | + | 0.105471i | \(0.0336352\pi\) | |||||||
\(662\) | 519.107 | + | 1165.93i | 0.784149 | + | 1.76123i | ||||
\(663\) | 278.568 | + | 124.026i | 0.420163 | + | 0.187069i | ||||
\(664\) | −135.743 | − | 44.1057i | −0.204433 | − | 0.0664242i | ||||
\(665\) | 536.104 | + | 212.468i | 0.806171 | + | 0.319501i | ||||
\(666\) | 101.746 | − | 313.143i | 0.152772 | − | 0.470185i | ||||
\(667\) | 13.5036 | + | 63.5296i | 0.0202453 | + | 0.0952468i | ||||
\(668\) | 605.755 | + | 128.757i | 0.906818 | + | 0.192750i | ||||
\(669\) | −461.728 | − | 1037.06i | −0.690176 | − | 1.55016i | ||||
\(670\) | 338.960 | + | 587.096i | 0.505911 | + | 0.876263i | ||||
\(671\) | −136.863 | − | 421.220i | −0.203968 | − | 0.627749i | ||||
\(672\) | 825.202 | + | 230.701i | 1.22798 | + | 0.343306i | ||||
\(673\) | 319.099 | + | 103.682i | 0.474144 | + | 0.154059i | 0.536334 | − | 0.844006i | \(-0.319809\pi\) |
−0.0621904 | + | 0.998064i | \(0.519809\pi\) | |||||||
\(674\) | 53.2798 | − | 506.924i | 0.0790502 | − | 0.752112i | ||||
\(675\) | −4.13965 | − | 39.3862i | −0.00613282 | − | 0.0583499i | ||||
\(676\) | −0.757365 | − | 7.20585i | −0.00112036 | − | 0.0106595i | ||||
\(677\) | −191.740 | + | 430.656i | −0.283220 | + | 0.636124i | −0.997999 | − | 0.0632271i | \(-0.979861\pi\) |
0.714779 | + | 0.699351i | \(0.246527\pi\) | |||||||
\(678\) | 1232.10 | − | 895.173i | 1.81726 | − | 1.32031i | ||||
\(679\) | 828.645 | + | 433.562i | 1.22039 | + | 0.638530i | ||||
\(680\) | −134.370 | − | 43.6595i | −0.197603 | − | 0.0642052i | ||||
\(681\) | 664.039 | + | 295.649i | 0.975094 | + | 0.434140i | ||||
\(682\) | −93.4304 | − | 19.8592i | −0.136995 | − | 0.0291191i | ||||
\(683\) | −858.230 | − | 495.499i | −1.25656 | − | 0.725475i | −0.284156 | − | 0.958778i | \(-0.591713\pi\) |
−0.972404 | + | 0.233303i | \(0.925047\pi\) | |||||||
\(684\) | −19.2183 | + | 182.849i | −0.0280969 | + | 0.267324i | ||||
\(685\) | −185.343 | − | 570.426i | −0.270573 | − | 0.832739i | ||||
\(686\) | 684.239 | − | 518.272i | 0.997433 | − | 0.755498i | ||||
\(687\) | −216.881 | + | 667.491i | −0.315693 | + | 0.971602i | ||||
\(688\) | −412.012 | − | 713.626i | −0.598855 | − | 1.03725i | ||||
\(689\) | 233.892 | − | 210.597i | 0.339465 | − | 0.305656i | ||||
\(690\) | 73.2055 | − | 7.69421i | 0.106095 | − | 0.0111510i | ||||
\(691\) | 46.6142 | − | 443.505i | 0.0674591 | − | 0.641831i | −0.907592 | − | 0.419852i | \(-0.862082\pi\) |
0.975052 | − | 0.221978i | \(-0.0712514\pi\) | |||||||
\(692\) | −351.580 | + | 114.235i | −0.508064 | + | 0.165080i | ||||
\(693\) | 642.626 | − | 318.732i | 0.927311 | − | 0.459930i | ||||
\(694\) | 1166.37i | 1.68064i | ||||||||
\(695\) | −89.2752 | + | 849.397i | −0.128453 | + | 1.22215i | ||||
\(696\) | −621.981 | − | 359.101i | −0.893651 | − | 0.515950i | ||||
\(697\) | −252.720 | − | 8.07606i | −0.362583 | − | 0.0115869i | ||||
\(698\) | −1273.64 | + | 735.336i | −1.82470 | + | 1.05349i | ||||
\(699\) | 164.039 | − | 225.780i | 0.234676 | − | 0.323004i | ||||
\(700\) | −27.1804 | − | 34.3169i | −0.0388291 | − | 0.0490242i | ||||
\(701\) | −223.153 | − | 686.795i | −0.318335 | − | 0.979736i | −0.974360 | − | 0.224996i | \(-0.927763\pi\) |
0.656024 | − | 0.754740i | \(-0.272237\pi\) | |||||||
\(702\) | −314.845 | + | 349.671i | −0.448497 | + | 0.498106i | ||||
\(703\) | 361.573 | − | 160.983i | 0.514329 | − | 0.228994i | ||||
\(704\) | −30.8504 | + | 3.24250i | −0.0438215 | + | 0.00460583i | ||||
\(705\) | −170.250 | − | 800.965i | −0.241490 | − | 1.13612i | ||||
\(706\) | 417.051i | 0.590724i | ||||||||
\(707\) | −324.550 | − | 268.676i | −0.459053 | − | 0.380023i | ||||
\(708\) | 309.036 | + | 100.412i | 0.436492 | + | 0.141825i | ||||
\(709\) | −756.978 | − | 681.586i | −1.06767 | − | 0.961335i | −0.0683304 | − | 0.997663i | \(-0.521767\pi\) |
−0.999340 | + | 0.0363280i | \(0.988434\pi\) | |||||||
\(710\) | 1298.66 | − | 578.201i | 1.82910 | − | 0.814368i | ||||
\(711\) | −339.767 | − | 196.164i | −0.477871 | − | 0.275899i | ||||
\(712\) | −26.0522 | + | 28.9339i | −0.0365901 | + | 0.0406375i | ||||
\(713\) | 1.68576 | + | 2.32025i | 0.00236432 | + | 0.00325421i | ||||
\(714\) | −313.556 | − | 259.575i | −0.439154 | − | 0.363550i | ||||
\(715\) | 1102.95 | + | 801.338i | 1.54258 | + | 1.12075i | ||||
\(716\) | −185.857 | + | 417.441i | −0.259577 | + | 0.583019i | ||||
\(717\) | −359.481 | + | 37.7830i | −0.501368 | + | 0.0526959i | ||||
\(718\) | 49.2183 | + | 468.281i | 0.0685491 | + | 0.652201i | ||||
\(719\) | 591.851 | + | 263.509i | 0.823159 | + | 0.366494i | 0.774698 | − | 0.632331i | \(-0.217902\pi\) |
0.0484605 | + | 0.998825i | \(0.484568\pi\) | |||||||
\(720\) | −320.828 | + | 441.582i | −0.445595 | + | 0.613309i | ||||
\(721\) | 387.987 | + | 1044.35i | 0.538123 | + | 1.44847i | ||||
\(722\) | 235.977 | − | 171.448i | 0.326838 | − | 0.237462i | ||||
\(723\) | 1020.81 | + | 919.145i | 1.41191 | + | 1.27129i | ||||
\(724\) | 8.57166 | − | 14.8466i | 0.0118393 | − | 0.0205063i | ||||
\(725\) | 49.2854 | + | 110.697i | 0.0679799 | + | 0.152685i | ||||
\(726\) | −1689.37 | + | 1876.24i | −2.32696 | + | 2.58435i | ||||
\(727\) | −100.788 | + | 310.193i | −0.138635 | + | 0.426675i | −0.996138 | − | 0.0878046i | \(-0.972015\pi\) |
0.857503 | + | 0.514480i | \(0.172015\pi\) | |||||||
\(728\) | 66.7387 | − | 393.773i | 0.0916741 | − | 0.540897i | ||||
\(729\) | −37.8179 | −0.0518765 | ||||||||
\(730\) | −811.248 | + | 172.436i | −1.11130 | + | 0.236214i | ||||
\(731\) | 26.6516 | + | 253.573i | 0.0364590 | + | 0.346885i | ||||
\(732\) | 77.8915 | + | 174.947i | 0.106409 | + | 0.238999i | ||||
\(733\) | 939.778 | + | 846.180i | 1.28210 | + | 1.15441i | 0.979534 | + | 0.201278i | \(0.0645094\pi\) |
0.302564 | + | 0.953129i | \(0.402157\pi\) | |||||||
\(734\) | 1351.98 | − | 439.285i | 1.84194 | − | 0.598481i | ||||
\(735\) | 280.551 | + | 931.508i | 0.381702 | + | 1.26736i | ||||
\(736\) | 38.9372 | + | 28.2895i | 0.0529038 | + | 0.0384368i | ||||
\(737\) | 506.835 | + | 877.865i | 0.687701 | + | 1.19113i | ||||
\(738\) | −180.903 | + | 501.644i | −0.245126 | + | 0.679734i | ||||
\(739\) | 48.9207 | − | 84.7331i | 0.0661985 | − | 0.114659i | −0.831027 | − | 0.556233i | \(-0.812246\pi\) |
0.897225 | + | 0.441574i | \(0.145580\pi\) | |||||||
\(740\) | −300.151 | − | 31.5471i | −0.405609 | − | 0.0426312i | ||||
\(741\) | 773.059 | 1.04326 | ||||||||
\(742\) | −376.390 | + | 186.683i | −0.507264 | + | 0.251594i | ||||
\(743\) | −239.533 | − | 737.206i | −0.322386 | − | 0.992202i | −0.972607 | − | 0.232457i | \(-0.925324\pi\) |
0.650221 | − | 0.759745i | \(-0.274676\pi\) | |||||||
\(744\) | −31.5403 | − | 3.31502i | −0.0423929 | − | 0.00445567i | ||||
\(745\) | 25.9271 | + | 246.680i | 0.0348015 | + | 0.331114i | ||||
\(746\) | 1053.80 | + | 1170.36i | 1.41260 | + | 1.56885i | ||||
\(747\) | 147.757 | − | 85.3074i | 0.197800 | − | 0.114200i | ||||
\(748\) | 261.654 | + | 85.0166i | 0.349805 | + | 0.113659i | ||||
\(749\) | 980.219 | − | 364.163i | 1.30870 | − | 0.486198i | ||||
\(750\) | −1050.71 | + | 341.398i | −1.40095 | + | 0.455197i | ||||
\(751\) | −534.756 | − | 56.2051i | −0.712059 | − | 0.0748404i | −0.258429 | − | 0.966030i | \(-0.583205\pi\) |
−0.453630 | + | 0.891190i | \(0.649871\pi\) | |||||||
\(752\) | 411.021 | − | 711.910i | 0.546571 | − | 0.946689i | ||||
\(753\) | −228.349 | + | 1074.30i | −0.303253 | + | 1.42669i | ||||
\(754\) | 585.565 | − | 1315.20i | 0.776611 | − | 1.74430i | ||||
\(755\) | −170.981 | + | 526.227i | −0.226466 | + | 0.696989i | ||||
\(756\) | 191.646 | − | 121.531i | 0.253499 | − | 0.160755i | ||||
\(757\) | 203.085 | + | 279.523i | 0.268276 | + | 0.369251i | 0.921807 | − | 0.387649i | \(-0.126713\pi\) |
−0.653530 | + | 0.756900i | \(0.726713\pi\) | |||||||
\(758\) | 1304.65 | + | 580.869i | 1.72118 | + | 0.766318i | ||||
\(759\) | 109.462 | − | 11.5049i | 0.144218 | − | 0.0151579i | ||||
\(760\) | −356.224 | + | 37.4406i | −0.468715 | + | 0.0492640i | ||||
\(761\) | 356.583 | + | 37.4784i | 0.468572 | + | 0.0492489i | 0.335873 | − | 0.941907i | \(-0.390969\pi\) |
0.132699 | + | 0.991156i | \(0.457635\pi\) | |||||||
\(762\) | 449.909 | − | 1384.68i | 0.590431 | − | 1.81716i | ||||
\(763\) | −784.299 | + | 201.091i | −1.02792 | + | 0.263553i | ||||
\(764\) | −278.677 | + | 90.5476i | −0.364760 | + | 0.118518i | ||||
\(765\) | 146.262 | − | 84.4445i | 0.191192 | − | 0.110385i | ||||
\(766\) | 703.729 | − | 313.320i | 0.918707 | − | 0.409035i | ||||
\(767\) | 103.990 | − | 489.234i | 0.135580 | − | 0.637853i | ||||
\(768\) | −1185.40 | + | 251.965i | −1.54349 | + | 0.328079i | ||||
\(769\) | −566.435 | − | 184.046i | −0.736586 | − | 0.239331i | −0.0833869 | − | 0.996517i | \(-0.526574\pi\) |
−0.653200 | + | 0.757186i | \(0.726574\pi\) | |||||||
\(770\) | −1129.96 | − | 1426.64i | −1.46748 | − | 1.85278i | ||||
\(771\) | −403.698 | + | 1242.45i | −0.523603 | + | 1.61148i | ||||
\(772\) | −250.498 | + | 562.627i | −0.324479 | + | 0.728792i | ||||
\(773\) | 796.431 | − | 354.594i | 1.03031 | − | 0.458725i | 0.179258 | − | 0.983802i | \(-0.442630\pi\) |
0.851054 | + | 0.525078i | \(0.175964\pi\) | |||||||
\(774\) | 525.986 | + | 111.802i | 0.679569 | + | 0.144447i | ||||
\(775\) | 3.97634 | + | 3.58031i | 0.00513076 | + | 0.00461976i | ||||
\(776\) | −580.887 | −0.748566 | ||||||||
\(777\) | 591.610 | + | 309.541i | 0.761402 | + | 0.398380i | ||||
\(778\) | −1415.54 | −1.81947 | ||||||||
\(779\) | −593.632 | + | 241.890i | −0.762044 | + | 0.310514i | ||||
\(780\) | −510.508 | − | 294.742i | −0.654497 | − | 0.377874i | ||||
\(781\) | 1941.84 | − | 864.564i | 2.48635 | − | 1.10700i | ||||
\(782\) | −11.4323 | − | 19.8013i | −0.0146193 | − | 0.0253213i | ||||
\(783\) | −597.393 | + | 194.105i | −0.762954 | + | 0.247899i | ||||
\(784\) | −416.423 | + | 883.392i | −0.531152 | + | 1.12678i | ||||
\(785\) | −200.168 | + | 275.508i | −0.254991 | + | 0.350965i | ||||
\(786\) | −136.597 | + | 306.803i | −0.173788 | + | 0.390334i | ||||
\(787\) | 572.484 | − | 515.467i | 0.727425 | − | 0.654977i | −0.219800 | − | 0.975545i | \(-0.570540\pi\) |
0.947225 | + | 0.320568i | \(0.103874\pi\) | |||||||
\(788\) | −170.998 | + | 296.177i | −0.217002 | + | 0.375859i | ||||
\(789\) | −337.966 | − | 1590.00i | −0.428347 | − | 2.01522i | ||||
\(790\) | −307.587 | + | 946.655i | −0.389351 | + | 1.19830i | ||||
\(791\) | 502.358 | + | 1012.85i | 0.635092 | + | 1.28047i | ||||
\(792\) | −261.888 | + | 360.458i | −0.330667 | + | 0.455124i | ||||
\(793\) | 255.280 | − | 147.386i | 0.321916 | − | 0.185858i | ||||
\(794\) | 242.336 | + | 51.5102i | 0.305210 | + | 0.0648743i | ||||
\(795\) | −49.7738 | − | 473.566i | −0.0626086 | − | 0.595681i | ||||
\(796\) | 774.060 | − | 164.532i | 0.972438 | − | 0.206698i | ||||
\(797\) | −314.526 | + | 432.908i | −0.394638 | + | 0.543172i | −0.959388 | − | 0.282090i | \(-0.908972\pi\) |
0.564750 | + | 0.825262i | \(0.308972\pi\) | |||||||
\(798\) | −993.864 | − | 277.854i | −1.24544 | − | 0.348188i | ||||
\(799\) | −205.778 | + | 149.507i | −0.257545 | + | 0.187117i | ||||
\(800\) | 82.0296 | + | 36.5219i | 0.102537 | + | 0.0456524i | ||||
\(801\) | −4.86489 | − | 46.2863i | −0.00607352 | − | 0.0577856i | ||||
\(802\) | −486.565 | + | 216.633i | −0.606689 | + | 0.270115i | ||||
\(803\) | −1213.03 | + | 257.838i | −1.51062 | + | 0.321093i | ||||
\(804\) | −257.626 | − | 354.592i | −0.320431 | − | 0.441035i | ||||
\(805\) | −3.44961 | + | 54.5355i | −0.00428523 | + | 0.0677460i | ||||
\(806\) | − | 63.5721i | − | 0.0788736i | ||||||
\(807\) | −1005.64 | − | 105.697i | −1.24615 | − | 0.130976i | ||||
\(808\) | 255.981 | + | 54.4104i | 0.316808 | + | 0.0673397i | ||||
\(809\) | −730.590 | + | 657.826i | −0.903078 | + | 0.813135i | −0.982988 | − | 0.183667i | \(-0.941203\pi\) |
0.0799108 | + | 0.996802i | \(0.474536\pi\) | |||||||
\(810\) | 276.249 | + | 1299.65i | 0.341049 | + | 1.60451i | ||||
\(811\) | − | 534.912i | − | 0.659571i | −0.944056 | − | 0.329785i | \(-0.893024\pi\) | ||
0.944056 | − | 0.329785i | \(-0.106976\pi\) | |||||||
\(812\) | −442.768 | + | 534.846i | −0.545281 | + | 0.658677i | ||||
\(813\) | −482.716 | − | 664.401i | −0.593746 | − | 0.817222i | ||||
\(814\) | −1242.24 | − | 130.565i | −1.52609 | − | 0.160399i | ||||
\(815\) | −238.754 | + | 1123.25i | −0.292950 | + | 1.37822i | ||||
\(816\) | 453.018 | + | 96.2920i | 0.555170 | + | 0.118005i | ||||
\(817\) | 323.199 | + | 559.797i | 0.395592 | + | 0.685186i | ||||
\(818\) | 207.020 | − | 284.939i | 0.253081 | − | 0.348336i | ||||
\(819\) | 296.422 | + | 374.251i | 0.361931 | + | 0.456961i | ||||
\(820\) | 484.243 | + | 66.5944i | 0.590541 | + | 0.0812127i | ||||
\(821\) | 421.479 | + | 730.022i | 0.513372 | + | 0.889187i | 0.999880 | + | 0.0155102i | \(0.00493726\pi\) |
−0.486508 | + | 0.873676i | \(0.661729\pi\) | |||||||
\(822\) | 436.562 | + | 980.535i | 0.531098 | + | 1.19287i | ||||
\(823\) | 174.276 | + | 100.618i | 0.211757 | + | 0.122258i | 0.602128 | − | 0.798400i | \(-0.294320\pi\) |
−0.390371 | + | 0.920658i | \(0.627653\pi\) | |||||||
\(824\) | −514.248 | − | 463.031i | −0.624088 | − | 0.561931i | ||||
\(825\) | 195.293 | − | 63.4546i | 0.236719 | − | 0.0769147i | ||||
\(826\) | −309.533 | + | 591.595i | −0.374737 | + | 0.716216i | ||||
\(827\) | −160.477 | − | 220.877i | −0.194047 | − | 0.267083i | 0.700896 | − | 0.713264i | \(-0.252784\pi\) |
−0.894943 | + | 0.446181i | \(0.852784\pi\) | |||||||
\(828\) | −17.0412 | + | 3.62223i | −0.0205812 | + | 0.00437467i | ||||
\(829\) | −791.880 | − | 457.192i | −0.955224 | − | 0.551499i | −0.0605239 | − | 0.998167i | \(-0.519277\pi\) |
−0.894700 | + | 0.446668i | \(0.852610\pi\) | |||||||
\(830\) | −289.643 | − | 321.681i | −0.348968 | − | 0.387568i | ||||
\(831\) | −1652.58 | + | 351.266i | −1.98866 | + | 0.422702i | ||||
\(832\) | −6.37986 | − | 19.6352i | −0.00766810 | − | 0.0236000i | ||||
\(833\) | 228.887 | − | 197.299i | 0.274774 | − | 0.236854i | ||||
\(834\) | − | 1528.40i | − | 1.83261i | ||||||
\(835\) | −1071.77 | − | 965.022i | −1.28355 | − | 1.15571i | ||||
\(836\) | 693.662 | − | 72.9068i | 0.829739 | − | 0.0872090i | ||||
\(837\) | −20.6126 | + | 18.5597i | −0.0246267 | + | 0.0221740i | ||||
\(838\) | 1229.53 | + | 129.229i | 1.46722 | + | 0.154211i | ||||
\(839\) | 1068.01 | − | 775.951i | 1.27295 | − | 0.924853i | 0.273634 | − | 0.961834i | \(-0.411774\pi\) |
0.999316 | + | 0.0369812i | \(0.0117742\pi\) | |||||||
\(840\) | −422.630 | − | 431.867i | −0.503130 | − | 0.514128i | ||||
\(841\) | 874.463 | − | 635.335i | 1.03979 | − | 0.755451i | ||||
\(842\) | −276.036 | + | 619.986i | −0.327833 | + | 0.736326i | ||||
\(843\) | 431.442 | + | 969.035i | 0.511794 | + | 1.14951i | ||||
\(844\) | −179.456 | + | 161.583i | −0.212626 | + | 0.191449i | ||||
\(845\) | −6.86306 | + | 15.4147i | −0.00812197 | + | 0.0182422i | ||||
\(846\) | 165.770 | + | 510.189i | 0.195946 | + | 0.603060i | ||||
\(847\) | −1163.70 | − | 1469.24i | −1.37391 | − | 1.73465i | ||||
\(848\) | 280.977 | − | 386.731i | 0.331340 | − | 0.456051i | ||||
\(849\) | −1383.69 | − | 1245.88i | −1.62979 | − | 1.46747i | ||||
\(850\) | −28.5434 | − | 31.7007i | −0.0335805 | − | 0.0372949i | ||||
\(851\) | 25.0954 | + | 27.8713i | 0.0294894 | + | 0.0327512i | ||||
\(852\) | −795.956 | + | 459.545i | −0.934220 | + | 0.539372i | ||||
\(853\) | 1172.13 | + | 380.848i | 1.37413 | + | 0.446481i | 0.900734 | − | 0.434370i | \(-0.143029\pi\) |
0.473393 | + | 0.880851i | \(0.343029\pi\) | |||||||
\(854\) | −381.167 | + | 97.7297i | −0.446332 | + | 0.114438i | ||||
\(855\) | 251.670 | − | 346.395i | 0.294351 | − | 0.405140i | ||||
\(856\) | −434.599 | + | 482.671i | −0.507709 | + | 0.563868i | ||||
\(857\) | −253.555 | + | 1192.88i | −0.295864 | + | 1.39193i | 0.539385 | + | 0.842059i | \(0.318657\pi\) |
−0.835249 | + | 0.549872i | \(0.814677\pi\) | |||||||
\(858\) | −2112.85 | − | 1219.85i | −2.46252 | − | 1.42174i | ||||
\(859\) | −186.498 | − | 19.6017i | −0.217110 | − | 0.0228192i | −0.00465111 | − | 0.999989i | \(-0.501481\pi\) |
−0.212459 | + | 0.977170i | \(0.568147\pi\) | |||||||
\(860\) | − | 492.900i | − | 0.573139i | ||||||
\(861\) | −941.668 | − | 531.680i | −1.09369 | − | 0.617515i | ||||
\(862\) | 1525.50 | 1.76972 | ||||||||
\(863\) | −28.8747 | + | 274.725i | −0.0334585 | + | 0.318337i | 0.964973 | + | 0.262349i | \(0.0844973\pi\) |
−0.998431 | + | 0.0559873i | \(0.982169\pi\) | |||||||
\(864\) | −232.733 | + | 403.106i | −0.269367 | + | 0.466558i | ||||
\(865\) | 842.085 | + | 178.991i | 0.973509 | + | 0.206926i | ||||
\(866\) | 690.408 | + | 621.646i | 0.797237 | + | 0.717836i | ||||
\(867\) | 765.031 | + | 555.827i | 0.882388 | + | 0.641093i | ||||
\(868\) | −8.25513 | + | 29.5280i | −0.00951052 | + | 0.0340184i | ||||
\(869\) | −459.924 | + | 1415.50i | −0.529257 | + | 1.62888i | ||||
\(870\) | −1089.07 | − | 1886.33i | −1.25181 | − | 2.16820i | ||||
\(871\) | −501.364 | + | 451.430i | −0.575619 | + | 0.518290i | ||||
\(872\) | 373.732 | − | 336.510i | 0.428592 | − | 0.385906i | ||||
\(873\) | 464.630 | − | 516.024i | 0.532222 | − | 0.591093i | ||||
\(874\) | −46.8955 | − | 34.0716i | −0.0536562 | − | 0.0389835i | ||||
\(875\) | −119.536 | − | 811.396i | −0.136613 | − | 0.927310i | ||||
\(876\) | 509.974 | − | 165.701i | 0.582162 | − | 0.189156i | ||||
\(877\) | −865.362 | − | 385.284i | −0.986729 | − | 0.439320i | −0.151043 | − | 0.988527i | \(-0.548263\pi\) |
−0.835686 | + | 0.549207i | \(0.814930\pi\) | |||||||
\(878\) | −70.1592 | − | 77.9197i | −0.0799080 | − | 0.0887468i | ||||
\(879\) | 1649.24 | − | 734.288i | 1.87627 | − | 0.835367i | ||||
\(880\) | 1891.64 | + | 842.211i | 2.14959 | + | 0.957058i | ||||
\(881\) | 283.523 | + | 390.236i | 0.321820 | + | 0.442947i | 0.939022 | − | 0.343858i | \(-0.111734\pi\) |
−0.617202 | + | 0.786805i | \(0.711734\pi\) | |||||||
\(882\) | −246.573 | − | 587.687i | −0.279561 | − | 0.666311i | ||||
\(883\) | −127.225 | − | 175.110i | −0.144083 | − | 0.198313i | 0.730876 | − | 0.682510i | \(-0.239112\pi\) |
−0.874959 | + | 0.484197i | \(0.839112\pi\) | |||||||
\(884\) | −19.1399 | + | 182.104i | −0.0216514 | + | 0.206000i | ||||
\(885\) | −506.347 | − | 562.355i | −0.572143 | − | 0.635430i | ||||
\(886\) | 184.769 | + | 1757.96i | 0.208543 | + | 1.98415i | ||||
\(887\) | −768.596 | + | 853.612i | −0.866512 | + | 0.962359i | −0.999587 | − | 0.0287473i | \(-0.990848\pi\) |
0.133075 | + | 0.991106i | \(0.457515\pi\) | |||||||
\(888\) | −414.723 | −0.467031 | ||||||||
\(889\) | 957.670 | + | 501.070i | 1.07724 | + | 0.563633i | ||||
\(890\) | −112.300 | + | 36.4885i | −0.126180 | + | 0.0409983i | ||||
\(891\) | 413.066 | + | 1943.32i | 0.463598 | + | 2.18106i | ||||
\(892\) | 506.582 | − | 456.128i | 0.567917 | − | 0.511354i | ||||
\(893\) | −322.421 | + | 558.450i | −0.361054 | + | 0.625364i | ||||
\(894\) | −92.2865 | − | 434.174i | −0.103229 | − | 0.485653i | ||||
\(895\) | 860.909 | − | 625.487i | 0.961909 | − | 0.698868i | ||||
\(896\) | −36.6385 | − | 881.294i | −0.0408912 | − | 0.983587i | ||||
\(897\) | 22.6367 | + | 69.6685i | 0.0252360 | + | 0.0776684i | ||||
\(898\) | 1394.37 | − | 1548.60i | 1.55275 | − | 1.72450i | ||||
\(899\) | 42.4331 | − | 73.4963i | 0.0472003 | − | 0.0817534i | ||||
\(900\) | −29.6934 | + | 13.2204i | −0.0329927 | + | 0.0146893i | ||||
\(901\) | −128.094 | + | 73.9553i | −0.142169 | + | 0.0820814i | ||||
\(902\) | 2004.15 | + | 275.615i | 2.22189 | + | 0.305560i | ||||
\(903\) | −401.770 | + | 1013.75i | −0.444928 | + | 1.12265i | ||||
\(904\) | −568.124 | − | 412.766i | −0.628455 | − | 0.456599i | ||||
\(905\) | −34.5748 | + | 19.9618i | −0.0382042 | + | 0.0220572i | ||||
\(906\) | 205.866 | − | 968.525i | 0.227226 | − | 1.06901i | ||||
\(907\) | −914.324 | − | 194.346i | −1.00807 | − | 0.214273i | −0.325855 | − | 0.945420i | \(-0.605652\pi\) |
−0.682220 | + | 0.731147i | \(0.738985\pi\) | |||||||
\(908\) | −45.6248 | + | 434.091i | −0.0502476 | + | 0.478074i | ||||
\(909\) | −253.085 | + | 183.877i | −0.278421 | + | 0.202285i | ||||
\(910\) | 772.399 | − | 933.027i | 0.848790 | − | 1.02530i | ||||
\(911\) | 618.399 | 0.678813 | 0.339407 | − | 0.940640i | \(-0.389774\pi\) | ||||
0.339407 | + | 0.940640i | \(0.389774\pi\) | |||||||
\(912\) | 1148.49 | − | 244.119i | 1.25931 | − | 0.267675i | ||||
\(913\) | −433.094 | − | 480.999i | −0.474363 | − | 0.526834i | ||||
\(914\) | 6.48379 | − | 30.5038i | 0.00709386 | − | 0.0333740i | ||||
\(915\) | 46.6171 | − | 443.532i | 0.0509477 | − | 0.484735i | ||||
\(916\) | −421.446 | −0.460094 | ||||||||
\(917\) | −207.612 | − | 138.038i | −0.226404 | − | 0.150533i | ||||
\(918\) | 178.896 | − | 129.976i | 0.194876 | − | 0.141586i | ||||
\(919\) | −149.654 | − | 704.066i | −0.162844 | − | 0.766122i | −0.981443 | − | 0.191756i | \(-0.938582\pi\) |
0.818598 | − | 0.574366i | \(-0.194751\pi\) | |||||||
\(920\) | −13.8051 | − | 31.0068i | −0.0150055 | − | 0.0337030i | ||||
\(921\) | 133.494 | − | 14.0308i | 0.144944 | − | 0.0152343i | ||||
\(922\) | 696.630 | − | 1564.66i | 0.755564 | − | 1.69702i | ||||
\(923\) | 831.544 | + | 1144.52i | 0.900915 | + | 1.24000i | ||||
\(924\) | 822.971 | + | 840.959i | 0.890661 | + | 0.910129i | ||||
\(925\) | 56.6076 | + | 41.1278i | 0.0611974 | + | 0.0444625i | ||||
\(926\) | −139.747 | − | 657.458i | −0.150915 | − | 0.709998i | ||||
\(927\) | 822.657 | − | 86.4647i | 0.887440 | − | 0.0932737i | ||||
\(928\) | 296.104 | − | 1393.06i | 0.319077 | − | 1.50114i | ||||
\(929\) | 585.679 | + | 1014.43i | 0.630441 | + | 1.09196i | 0.987462 | + | 0.157859i | \(0.0504591\pi\) |
−0.357021 | + | 0.934096i | \(0.616208\pi\) | |||||||
\(930\) | −77.8126 | − | 56.5341i | −0.0836694 | − | 0.0607894i | ||||
\(931\) | 326.659 | − | 692.967i | 0.350869 | − | 0.744326i | ||||
\(932\) | 159.381 | + | 51.7862i | 0.171010 | + | 0.0555646i | ||||
\(933\) | −938.602 | + | 199.506i | −1.00600 | + | 0.213833i | ||||
\(934\) | −535.612 | − | 309.236i | −0.573460 | − | 0.331087i | ||||
\(935\) | −428.713 | − | 476.134i | −0.458516 | − | 0.509234i | ||||
\(936\) | −270.901 | − | 120.613i | −0.289424 | − | 0.128860i | ||||
\(937\) | −735.830 | − | 534.611i | −0.785304 | − | 0.570557i | 0.121262 | − | 0.992620i | \(-0.461306\pi\) |
−0.906566 | + | 0.422064i | \(0.861306\pi\) | |||||||
\(938\) | 806.820 | − | 400.169i | 0.860150 | − | 0.426619i | ||||
\(939\) | 550.071 | + | 1692.94i | 0.585805 | + | 1.80292i | ||||
\(940\) | 425.837 | − | 245.857i | 0.453018 | − | 0.261550i | ||||
\(941\) | −367.233 | − | 824.818i | −0.390258 | − | 0.876533i | −0.996682 | − | 0.0813921i | \(-0.974063\pi\) |
0.606424 | − | 0.795141i | \(-0.292603\pi\) | |||||||
\(942\) | 304.709 | − | 527.772i | 0.323471 | − | 0.560268i | ||||
\(943\) | −39.1820 | − | 46.4155i | −0.0415504 | − | 0.0492211i | ||||
\(944\) | − | 759.665i | − | 0.804730i | ||||||
\(945\) | −528.024 | + | 21.9518i | −0.558755 | + | 0.0232294i | ||||
\(946\) | − | 2039.97i | − | 2.15642i | ||||||
\(947\) | 358.888 | − | 398.586i | 0.378974 | − | 0.420893i | −0.523238 | − | 0.852187i | \(-0.675276\pi\) |
0.902212 | + | 0.431294i | \(0.141943\pi\) | |||||||
\(948\) | 133.800 | − | 629.481i | 0.141140 | − | 0.664009i | ||||
\(949\) | −335.710 | − | 754.016i | −0.353751 | − | 0.794537i | ||||
\(950\) | −98.7955 | − | 43.9866i | −0.103995 | − | 0.0463017i | ||||
\(951\) | −811.295 | − | 263.606i | −0.853097 | − | 0.277188i | ||||
\(952\) | −69.1543 | + | 174.491i | −0.0726411 | + | 0.183289i | ||||
\(953\) | −263.858 | + | 812.071i | −0.276871 | + | 0.852121i | 0.711847 | + | 0.702334i | \(0.247859\pi\) |
−0.988718 | + | 0.149787i | \(0.952141\pi\) | |||||||
\(954\) | 64.8575 | + | 305.131i | 0.0679848 | + | 0.319844i | ||||
\(955\) | 667.472 | + | 141.876i | 0.698923 | + | 0.148561i | ||||
\(956\) | −88.2832 | − | 198.287i | −0.0923464 | − | 0.207413i | ||||
\(957\) | −1628.45 | − | 2820.56i | −1.70162 | − | 2.94730i | ||||
\(958\) | −274.049 | − | 843.437i | −0.286064 | − | 0.880415i | ||||
\(959\) | −771.835 | + | 197.895i | −0.804834 | + | 0.206356i | ||||
\(960\) | −29.7071 | − | 9.65243i | −0.0309449 | − | 0.0100546i | ||||
\(961\) | −100.060 | + | 952.009i | −0.104121 | + | 0.990644i | ||||
\(962\) | −86.8976 | − | 826.776i | −0.0903302 | − | 0.859434i | ||||
\(963\) | −81.1554 | − | 772.142i | −0.0842735 | − | 0.801809i | ||||
\(964\) | −335.498 | + | 753.541i | −0.348027 | + | 0.781681i | ||||
\(965\) | 1160.33 | − | 843.030i | 1.20242 | − | 0.873607i | ||||
\(966\) | −4.06189 | − | 97.7037i | −0.00420485 | − | 0.101143i | ||||
\(967\) | −1304.14 | − | 423.742i | −1.34865 | − | 0.438203i | −0.456412 | − | 0.889769i | \(-0.650866\pi\) |
−0.892238 | + | 0.451566i | \(0.850866\pi\) | |||||||
\(968\) | 1063.51 | + | 473.505i | 1.09867 | + | 0.489158i | ||||
\(969\) | −355.366 | − | 75.5353i | −0.366734 | − | 0.0779518i | ||||
\(970\) | −1525.68 | − | 880.850i | −1.57286 | − | 0.908093i | ||||
\(971\) | −6.51703 | + | 62.0054i | −0.00671167 | + | 0.0638572i | −0.997365 | − | 0.0725460i | \(-0.976888\pi\) |
0.990653 | + | 0.136403i | \(0.0435543\pi\) | |||||||
\(972\) | −175.297 | − | 539.510i | −0.180347 | − | 0.555052i | ||||
\(973\) | 1118.67 | + | 189.599i | 1.14972 | + | 0.194860i | ||||
\(974\) | −138.419 | + | 426.009i | −0.142114 | + | 0.437381i | ||||
\(975\) | 68.3335 | + | 118.357i | 0.0700856 | + | 0.121392i | ||||
\(976\) | 332.713 | − | 299.576i | 0.340894 | − | 0.306943i | ||||
\(977\) | 204.227 | − | 21.4651i | 0.209034 | − | 0.0219704i | 0.000567614 | − | 1.00000i | \(-0.499819\pi\) |
0.208467 | + | 0.978029i | \(0.433153\pi\) | |||||||
\(978\) | 214.806 | − | 2043.75i | 0.219638 | − | 2.08972i | ||||
\(979\) | −167.918 | + | 54.5600i | −0.171520 | + | 0.0557303i | ||||
\(980\) | −479.922 | + | 333.073i | −0.489716 | + | 0.339870i | ||||
\(981\) | 601.162i | 0.612806i | ||||||||
\(982\) | 230.398 | − | 2192.09i | 0.234621 | − | 2.23227i | ||||
\(983\) | 157.244 | + | 90.7849i | 0.159963 | + | 0.0923549i | 0.577845 | − | 0.816147i | \(-0.303894\pi\) |
−0.417881 | + | 0.908502i | \(0.637227\pi\) | |||||||
\(984\) | 671.342 | + | 21.4538i | 0.682258 | + | 0.0218026i | ||||
\(985\) | 689.739 | − | 398.221i | 0.700243 | − | 0.404285i | ||||
\(986\) | −397.684 | + | 547.366i | −0.403331 | + | 0.555137i | ||||
\(987\) | −1076.23 | + | 158.551i | −1.09040 | + | 0.160640i | ||||
\(988\) | 143.449 | + | 441.492i | 0.145192 | + | 0.446854i | ||||
\(989\) | −40.9853 | + | 45.5188i | −0.0414412 | + | 0.0460251i | ||||
\(990\) | −1234.43 | + | 549.605i | −1.24690 | + | 0.555157i | ||||
\(991\) | −1497.34 | + | 157.377i | −1.51094 | + | 0.158806i | −0.823451 | − | 0.567388i | \(-0.807954\pi\) |
−0.687490 | + | 0.726194i | \(0.741287\pi\) | |||||||
\(992\) | −13.0752 | − | 61.5140i | −0.0131807 | − | 0.0620101i | ||||
\(993\) | 1921.63i | 1.93518i | ||||||||
\(994\) | −657.688 | − | 1770.30i | −0.661658 | − | 1.78099i | ||||
\(995\) | −1752.71 | − | 569.491i | −1.76152 | − | 0.572353i | ||||
\(996\) | 207.979 | + | 187.265i | 0.208814 | + | 0.188017i | ||||
\(997\) | −831.526 | + | 370.219i | −0.834028 | + | 0.371333i | −0.778902 | − | 0.627146i | \(-0.784223\pi\) |
−0.0551265 | + | 0.998479i | \(0.517556\pi\) | |||||||
\(998\) | 842.632 | + | 486.494i | 0.844321 | + | 0.487469i | ||||
\(999\) | −242.704 | + | 269.550i | −0.242947 | + | 0.269820i |
(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 | 287.3.x.a.31.13 | ✓ | 432 | |
7.5 | odd | 6 | inner | 287.3.x.a.236.42 | yes | 432 | |
41.4 | even | 10 | inner | 287.3.x.a.45.42 | yes | 432 | |
287.250 | odd | 30 | inner | 287.3.x.a.250.13 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.x.a.31.13 | ✓ | 432 | 1.1 | even | 1 | trivial | |
287.3.x.a.45.42 | yes | 432 | 41.4 | even | 10 | inner | |
287.3.x.a.236.42 | yes | 432 | 7.5 | odd | 6 | inner | |
287.3.x.a.250.13 | yes | 432 | 287.250 | odd | 30 | inner |