Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 11.46 | ||
Character | \(\chi\) | \(=\) | 384.11 |
Dual form | 384.2.w.a.35.46 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02490 | + | 0.974463i | 0.724714 | + | 0.689050i | ||||
\(3\) | −1.02625 | + | 1.39529i | −0.592503 | + | 0.805568i | ||||
\(4\) | 0.100842 | + | 1.99746i | 0.0504210 | + | 0.998728i | ||||
\(5\) | 1.18082 | + | 0.631161i | 0.528078 | + | 0.282264i | 0.713813 | − | 0.700336i | \(-0.246967\pi\) |
−0.185735 | + | 0.982600i | \(0.559467\pi\) | |||||||
\(6\) | −2.41145 | + | 0.429990i | −0.984472 | + | 0.175543i | ||||
\(7\) | 4.72705 | + | 0.940268i | 1.78666 | + | 0.355388i | 0.973858 | − | 0.227158i | \(-0.0729434\pi\) |
0.812798 | + | 0.582546i | \(0.197943\pi\) | |||||||
\(8\) | −1.84309 | + | 2.14546i | −0.651632 | + | 0.758535i | ||||
\(9\) | −0.893641 | − | 2.86381i | −0.297880 | − | 0.954603i | ||||
\(10\) | 0.595179 | + | 1.79754i | 0.188212 | + | 0.568433i | ||||
\(11\) | 2.00468 | − | 1.64520i | 0.604435 | − | 0.496047i | −0.281682 | − | 0.959508i | \(-0.590892\pi\) |
0.886118 | + | 0.463461i | \(0.153392\pi\) | |||||||
\(12\) | −2.89051 | − | 1.90918i | −0.834418 | − | 0.551132i | ||||
\(13\) | −2.66435 | + | 1.42412i | −0.738957 | + | 0.394981i | −0.797512 | − | 0.603304i | \(-0.793851\pi\) |
0.0585550 | + | 0.998284i | \(0.481351\pi\) | |||||||
\(14\) | 3.92850 | + | 5.57002i | 1.04993 | + | 1.48865i | ||||
\(15\) | −2.09246 | + | 0.999853i | −0.540271 | + | 0.258161i | ||||
\(16\) | −3.97966 | + | 0.402855i | −0.994915 | + | 0.100714i | ||||
\(17\) | −0.706373 | + | 0.292589i | −0.171321 | + | 0.0709633i | −0.466695 | − | 0.884418i | \(-0.654556\pi\) |
0.295375 | + | 0.955381i | \(0.404556\pi\) | |||||||
\(18\) | 1.87478 | − | 3.80594i | 0.441891 | − | 0.897069i | ||||
\(19\) | 0.347855 | − | 1.14672i | 0.0798034 | − | 0.263077i | −0.907955 | − | 0.419068i | \(-0.862357\pi\) |
0.987758 | + | 0.155991i | \(0.0498570\pi\) | |||||||
\(20\) | −1.14164 | + | 2.42228i | −0.255278 | + | 0.541639i | ||||
\(21\) | −6.16305 | + | 5.63063i | −1.34489 | + | 1.22870i | ||||
\(22\) | 3.65779 | + | 0.267323i | 0.779844 | + | 0.0569935i | ||||
\(23\) | −7.23454 | − | 4.83397i | −1.50851 | − | 1.00795i | −0.988062 | − | 0.154056i | \(-0.950766\pi\) |
−0.520444 | − | 0.853896i | \(-0.674234\pi\) | |||||||
\(24\) | −1.10206 | − | 4.77341i | −0.224957 | − | 0.974369i | ||||
\(25\) | −1.78188 | − | 2.66677i | −0.356376 | − | 0.533355i | ||||
\(26\) | −4.11844 | − | 1.13672i | −0.807693 | − | 0.222930i | ||||
\(27\) | 4.91293 | + | 1.69209i | 0.945493 | + | 0.325642i | ||||
\(28\) | −1.40146 | + | 9.53689i | −0.264851 | + | 1.80230i | ||||
\(29\) | −0.806075 | − | 0.661529i | −0.149684 | − | 0.122843i | 0.556571 | − | 0.830800i | \(-0.312117\pi\) |
−0.706255 | + | 0.707957i | \(0.749617\pi\) | |||||||
\(30\) | −3.11888 | − | 1.01428i | −0.569427 | − | 0.185180i | ||||
\(31\) | 4.36685 | − | 4.36685i | 0.784310 | − | 0.784310i | −0.196245 | − | 0.980555i | \(-0.562875\pi\) |
0.980555 | + | 0.196245i | \(0.0628748\pi\) | |||||||
\(32\) | −4.47132 | − | 3.46515i | −0.790426 | − | 0.612558i | ||||
\(33\) | 0.238228 | + | 4.48549i | 0.0414701 | + | 0.780823i | ||||
\(34\) | −1.00908 | − | 0.388460i | −0.173056 | − | 0.0666203i | ||||
\(35\) | 4.98833 | + | 4.09381i | 0.843181 | + | 0.691981i | ||||
\(36\) | 5.63022 | − | 2.07380i | 0.938370 | − | 0.345633i | ||||
\(37\) | 3.22856 | + | 10.6431i | 0.530772 | + | 1.74972i | 0.653140 | + | 0.757237i | \(0.273451\pi\) |
−0.122368 | + | 0.992485i | \(0.539049\pi\) | |||||||
\(38\) | 1.47396 | − | 0.836307i | 0.239108 | − | 0.135667i | ||||
\(39\) | 0.747216 | − | 5.17902i | 0.119650 | − | 0.829307i | ||||
\(40\) | −3.53049 | + | 1.37011i | −0.558220 | + | 0.216634i | ||||
\(41\) | −0.972588 | − | 0.649862i | −0.151893 | − | 0.101491i | 0.477301 | − | 0.878740i | \(-0.341615\pi\) |
−0.629194 | + | 0.777248i | \(0.716615\pi\) | |||||||
\(42\) | −11.8034 | − | 0.234831i | −1.82130 | − | 0.0362353i | ||||
\(43\) | 0.495666 | − | 5.03258i | 0.0755883 | − | 0.767461i | −0.880434 | − | 0.474168i | \(-0.842749\pi\) |
0.956023 | − | 0.293293i | \(-0.0947511\pi\) | |||||||
\(44\) | 3.48838 | + | 3.83836i | 0.525892 | + | 0.578655i | ||||
\(45\) | 0.752297 | − | 3.94567i | 0.112146 | − | 0.588186i | ||||
\(46\) | −2.70416 | − | 12.0041i | −0.398707 | − | 1.76991i | ||||
\(47\) | 6.98651 | − | 2.89391i | 1.01909 | − | 0.422120i | 0.190325 | − | 0.981721i | \(-0.439046\pi\) |
0.828762 | + | 0.559602i | \(0.189046\pi\) | |||||||
\(48\) | 3.52201 | − | 5.96619i | 0.508359 | − | 0.861145i | ||||
\(49\) | 14.9937 | + | 6.21060i | 2.14196 | + | 0.887228i | ||||
\(50\) | 0.772423 | − | 4.46956i | 0.109237 | − | 0.632091i | ||||
\(51\) | 0.316666 | − | 1.28586i | 0.0443422 | − | 0.180056i | ||||
\(52\) | −3.11330 | − | 5.17830i | −0.431737 | − | 0.718101i | ||||
\(53\) | −7.86417 | + | 6.45395i | −1.08023 | + | 0.886519i | −0.993959 | − | 0.109753i | \(-0.964994\pi\) |
−0.0862675 | + | 0.996272i | \(0.527494\pi\) | |||||||
\(54\) | 3.38638 | + | 6.52169i | 0.460828 | + | 0.887489i | ||||
\(55\) | 3.40556 | − | 0.677407i | 0.459205 | − | 0.0913416i | ||||
\(56\) | −10.7297 | + | 8.40869i | −1.43382 | + | 1.12366i | ||||
\(57\) | 1.24302 | + | 1.66218i | 0.164642 | + | 0.220161i | ||||
\(58\) | −0.181511 | − | 1.46349i | −0.0238336 | − | 0.192166i | ||||
\(59\) | 5.66199 | + | 3.02640i | 0.737129 | + | 0.394003i | 0.796823 | − | 0.604213i | \(-0.206512\pi\) |
−0.0596940 | + | 0.998217i | \(0.519012\pi\) | |||||||
\(60\) | −2.20817 | − | 4.07877i | −0.285074 | − | 0.526567i | ||||
\(61\) | −0.987848 | − | 10.0298i | −0.126481 | − | 1.28418i | −0.823577 | − | 0.567205i | \(-0.808025\pi\) |
0.697096 | − | 0.716978i | \(-0.254475\pi\) | |||||||
\(62\) | 8.73093 | − | 0.220251i | 1.10883 | − | 0.0279719i | ||||
\(63\) | −1.53153 | − | 14.3776i | −0.192955 | − | 1.81141i | ||||
\(64\) | −1.20600 | − | 7.90858i | −0.150750 | − | 0.988572i | ||||
\(65\) | −4.04496 | −0.501716 | ||||||||
\(66\) | −4.12678 | + | 4.82932i | −0.507972 | + | 0.594448i | ||||
\(67\) | −7.67658 | + | 0.756077i | −0.937843 | + | 0.0923695i | −0.555376 | − | 0.831600i | \(-0.687426\pi\) |
−0.382467 | + | 0.923969i | \(0.624926\pi\) | |||||||
\(68\) | −0.655666 | − | 1.38144i | −0.0795112 | − | 0.167525i | ||||
\(69\) | 14.1692 | − | 5.13341i | 1.70577 | − | 0.617990i | ||||
\(70\) | 1.12327 | + | 9.05669i | 0.134256 | + | 1.08248i | ||||
\(71\) | 13.5934 | + | 2.70389i | 1.61324 | + | 0.320893i | 0.917602 | − | 0.397501i | \(-0.130122\pi\) |
0.695637 | + | 0.718394i | \(0.255122\pi\) | |||||||
\(72\) | 7.79126 | + | 3.36100i | 0.918208 | + | 0.396098i | ||||
\(73\) | −1.05096 | − | 5.28356i | −0.123006 | − | 0.618394i | −0.992275 | − | 0.124055i | \(-0.960410\pi\) |
0.869269 | − | 0.494339i | \(-0.164590\pi\) | |||||||
\(74\) | −7.06240 | + | 14.0543i | −0.820987 | + | 1.63378i | ||||
\(75\) | 5.54956 | + | 0.250532i | 0.640808 | + | 0.0289289i | ||||
\(76\) | 2.32561 | + | 0.579187i | 0.266766 | + | 0.0664374i | ||||
\(77\) | 11.0232 | − | 5.89201i | 1.25621 | − | 0.671456i | ||||
\(78\) | 5.81259 | − | 4.57985i | 0.658146 | − | 0.518566i | ||||
\(79\) | 0.541135 | − | 1.30642i | 0.0608825 | − | 0.146983i | −0.890511 | − | 0.454962i | \(-0.849653\pi\) |
0.951393 | + | 0.307979i | \(0.0996527\pi\) | |||||||
\(80\) | −4.95353 | − | 2.03611i | −0.553821 | − | 0.227644i | ||||
\(81\) | −7.40281 | + | 5.11843i | −0.822535 | + | 0.568715i | ||||
\(82\) | −0.363539 | − | 1.61380i | −0.0401461 | − | 0.178214i | ||||
\(83\) | −3.23156 | + | 10.6530i | −0.354709 | + | 1.16932i | 0.580212 | + | 0.814465i | \(0.302970\pi\) |
−0.934921 | + | 0.354855i | \(0.884530\pi\) | |||||||
\(84\) | −11.8684 | − | 11.7426i | −1.29495 | − | 1.28123i | ||||
\(85\) | −1.01877 | − | 0.100340i | −0.110501 | − | 0.0108834i | ||||
\(86\) | 5.41207 | − | 4.67488i | 0.583598 | − | 0.504105i | ||||
\(87\) | 1.75025 | − | 0.445814i | 0.187647 | − | 0.0477962i | ||||
\(88\) | −0.165108 | + | 7.33324i | −0.0176006 | + | 0.781725i | ||||
\(89\) | −0.415249 | − | 0.621464i | −0.0440163 | − | 0.0658750i | 0.808809 | − | 0.588072i | \(-0.200113\pi\) |
−0.852825 | + | 0.522197i | \(0.825113\pi\) | |||||||
\(90\) | 4.61594 | − | 3.31084i | 0.486563 | − | 0.348993i | ||||
\(91\) | −13.9335 | + | 4.22669i | −1.46063 | + | 0.443078i | ||||
\(92\) | 8.92609 | − | 14.9381i | 0.930609 | − | 1.55741i | ||||
\(93\) | 1.61154 | + | 10.5745i | 0.167109 | + | 1.09652i | ||||
\(94\) | 9.98048 | + | 3.84213i | 1.02941 | + | 0.396285i | ||||
\(95\) | 1.13452 | − | 1.13452i | 0.116399 | − | 0.116399i | ||||
\(96\) | 9.42355 | − | 2.68268i | 0.961787 | − | 0.273800i | ||||
\(97\) | −11.2498 | − | 11.2498i | −1.14224 | − | 1.14224i | −0.988039 | − | 0.154204i | \(-0.950719\pi\) |
−0.154204 | − | 0.988039i | \(-0.549281\pi\) | |||||||
\(98\) | 9.31506 | + | 20.9761i | 0.940963 | + | 2.11890i | ||||
\(99\) | −6.50301 | − | 4.27082i | −0.653577 | − | 0.429233i | ||||
\(100\) | 5.14708 | − | 3.82815i | 0.514708 | − | 0.382815i | ||||
\(101\) | −0.219607 | − | 0.723949i | −0.0218518 | − | 0.0720356i | 0.945336 | − | 0.326097i | \(-0.105734\pi\) |
−0.967188 | + | 0.254061i | \(0.918234\pi\) | |||||||
\(102\) | 1.57757 | − | 1.00930i | 0.156203 | − | 0.0999354i | ||||
\(103\) | 3.36578 | − | 2.24894i | 0.331640 | − | 0.221595i | −0.378590 | − | 0.925564i | \(-0.623591\pi\) |
0.710230 | + | 0.703970i | \(0.248591\pi\) | |||||||
\(104\) | 1.85524 | − | 8.34104i | 0.181922 | − | 0.817906i | ||||
\(105\) | −10.8313 | + | 2.75888i | −1.05702 | + | 0.269239i | ||||
\(106\) | −14.3491 | − | 1.04868i | −1.39371 | − | 0.101857i | ||||
\(107\) | −0.986589 | + | 10.0170i | −0.0953771 | + | 0.968380i | 0.821767 | + | 0.569824i | \(0.192989\pi\) |
−0.917144 | + | 0.398556i | \(0.869511\pi\) | |||||||
\(108\) | −2.88444 | + | 9.98399i | −0.277556 | + | 0.960710i | ||||
\(109\) | 2.77093 | + | 0.840554i | 0.265407 | + | 0.0805105i | 0.420184 | − | 0.907439i | \(-0.361966\pi\) |
−0.154776 | + | 0.987950i | \(0.549466\pi\) | |||||||
\(110\) | 4.15046 | + | 2.62432i | 0.395731 | + | 0.250219i | ||||
\(111\) | −18.1635 | − | 6.41771i | −1.72400 | − | 0.609142i | ||||
\(112\) | −19.1908 | − | 1.83764i | −1.81336 | − | 0.173640i | ||||
\(113\) | −5.57654 | − | 2.30988i | −0.524596 | − | 0.217295i | 0.104638 | − | 0.994510i | \(-0.466632\pi\) |
−0.629235 | + | 0.777215i | \(0.716632\pi\) | |||||||
\(114\) | −0.345757 | + | 2.91485i | −0.0323831 | + | 0.273001i | ||||
\(115\) | −5.49167 | − | 10.2742i | −0.512101 | − | 0.958074i | ||||
\(116\) | 1.24009 | − | 1.67681i | 0.115139 | − | 0.155688i | ||||
\(117\) | 6.45938 | + | 6.35753i | 0.597170 | + | 0.587753i | ||||
\(118\) | 2.85386 | + | 8.61916i | 0.262720 | + | 0.793458i | ||||
\(119\) | −3.61417 | + | 0.718903i | −0.331310 | + | 0.0659017i | ||||
\(120\) | 1.71146 | − | 6.33211i | 0.156234 | − | 0.578040i | ||||
\(121\) | −0.833923 | + | 4.19242i | −0.0758112 | + | 0.381129i | ||||
\(122\) | 8.76122 | − | 11.2422i | 0.793203 | − | 1.01782i | ||||
\(123\) | 1.90486 | − | 0.690119i | 0.171755 | − | 0.0622259i | ||||
\(124\) | 9.16296 | + | 8.28223i | 0.822858 | + | 0.743767i | ||||
\(125\) | −1.07710 | − | 10.9360i | −0.0963387 | − | 0.978144i | ||||
\(126\) | 12.4408 | − | 16.2281i | 1.10831 | − | 1.44571i | ||||
\(127\) | 11.8996i | 1.05592i | 0.849270 | + | 0.527959i | \(0.177043\pi\) | ||||
−0.849270 | + | 0.527959i | \(0.822957\pi\) | |||||||
\(128\) | 6.47059 | − | 9.28071i | 0.571924 | − | 0.820306i | ||||
\(129\) | 6.51320 | + | 5.85625i | 0.573456 | + | 0.515614i | ||||
\(130\) | −4.14568 | − | 3.94167i | −0.363600 | − | 0.345707i | ||||
\(131\) | 3.59093 | − | 0.353676i | 0.313741 | − | 0.0309008i | 0.0600790 | − | 0.998194i | \(-0.480865\pi\) |
0.253662 | + | 0.967293i | \(0.418365\pi\) | |||||||
\(132\) | −8.93554 | + | 0.928175i | −0.777739 | + | 0.0807872i | ||||
\(133\) | 2.72256 | − | 5.09354i | 0.236076 | − | 0.441666i | ||||
\(134\) | −8.60450 | − | 6.70564i | −0.743315 | − | 0.579279i | ||||
\(135\) | 4.73330 | + | 5.09890i | 0.407377 | + | 0.438843i | ||||
\(136\) | 0.674173 | − | 2.05476i | 0.0578099 | − | 0.176195i | ||||
\(137\) | 2.49289 | + | 12.5326i | 0.212982 | + | 1.07073i | 0.928271 | + | 0.371905i | \(0.121295\pi\) |
−0.715289 | + | 0.698829i | \(0.753705\pi\) | |||||||
\(138\) | 19.5243 | + | 8.54611i | 1.66202 | + | 0.727493i | ||||
\(139\) | −3.02264 | − | 3.68309i | −0.256377 | − | 0.312396i | 0.628877 | − | 0.777505i | \(-0.283515\pi\) |
−0.885253 | + | 0.465109i | \(0.846015\pi\) | |||||||
\(140\) | −7.67418 | + | 10.3768i | −0.648587 | + | 0.876999i | ||||
\(141\) | −3.13205 | + | 12.7180i | −0.263766 | + | 1.07105i | ||||
\(142\) | 11.2970 | + | 16.0175i | 0.948025 | + | 1.34416i | ||||
\(143\) | −2.99820 | + | 7.23830i | −0.250722 | + | 0.605297i | ||||
\(144\) | 4.71009 | + | 11.0370i | 0.392507 | + | 0.919749i | ||||
\(145\) | −0.534298 | − | 1.28991i | −0.0443710 | − | 0.107121i | ||||
\(146\) | 4.07150 | − | 6.43925i | 0.336960 | − | 0.532916i | ||||
\(147\) | −24.0528 | + | 14.5469i | −1.98384 | + | 1.19981i | ||||
\(148\) | −20.9336 | + | 7.52219i | −1.72073 | + | 0.618320i | ||||
\(149\) | −3.98774 | − | 0.392758i | −0.326688 | − | 0.0321760i | −0.0666562 | − | 0.997776i | \(-0.521233\pi\) |
−0.260032 | + | 0.965600i | \(0.583733\pi\) | |||||||
\(150\) | 5.44361 | + | 5.66461i | 0.444469 | + | 0.462514i | ||||
\(151\) | 9.83830 | − | 14.7241i | 0.800630 | − | 1.19823i | −0.176231 | − | 0.984349i | \(-0.556390\pi\) |
0.976860 | − | 0.213878i | \(-0.0686095\pi\) | |||||||
\(152\) | 1.81912 | + | 2.85983i | 0.147550 | + | 0.231963i | ||||
\(153\) | 1.46916 | + | 1.76145i | 0.118775 | + | 0.142405i | ||||
\(154\) | 17.0392 | + | 4.70295i | 1.37306 | + | 0.378975i | ||||
\(155\) | 7.91265 | − | 2.40028i | 0.635559 | − | 0.192795i | ||||
\(156\) | 10.4202 | + | 0.970268i | 0.834285 | + | 0.0776836i | ||||
\(157\) | 1.06844 | − | 1.30190i | 0.0852709 | − | 0.103903i | −0.728627 | − | 0.684910i | \(-0.759841\pi\) |
0.813898 | + | 0.581008i | \(0.197341\pi\) | |||||||
\(158\) | 1.82766 | − | 0.811630i | 0.145401 | − | 0.0645698i | ||||
\(159\) | −0.934542 | − | 17.5961i | −0.0741140 | − | 1.39546i | ||||
\(160\) | −3.09276 | − | 6.91384i | −0.244504 | − | 0.546587i | ||||
\(161\) | −29.6528 | − | 29.6528i | −2.33697 | − | 2.33697i | ||||
\(162\) | −12.5749 | − | 1.96788i | −0.987975 | − | 0.154612i | ||||
\(163\) | 0.569853 | − | 0.694367i | 0.0446343 | − | 0.0543870i | −0.750215 | − | 0.661194i | \(-0.770050\pi\) |
0.794849 | + | 0.606807i | \(0.207550\pi\) | |||||||
\(164\) | 1.19999 | − | 2.00824i | 0.0937038 | − | 0.156817i | ||||
\(165\) | −2.54976 | + | 5.44691i | −0.198499 | + | 0.424041i | ||||
\(166\) | −13.6930 | + | 7.76924i | −1.06278 | + | 0.603010i | ||||
\(167\) | −10.9445 | + | 7.31289i | −0.846912 | + | 0.565888i | −0.901578 | − | 0.432616i | \(-0.857590\pi\) |
0.0546663 | + | 0.998505i | \(0.482590\pi\) | |||||||
\(168\) | −0.721209 | − | 23.6004i | −0.0556425 | − | 1.82081i | ||||
\(169\) | −2.15180 | + | 3.22040i | −0.165523 | + | 0.247723i | ||||
\(170\) | −0.946359 | − | 1.09559i | −0.0725824 | − | 0.0840280i | ||||
\(171\) | −3.59486 | + | 0.0285691i | −0.274906 | + | 0.00218473i | ||||
\(172\) | 10.1023 | + | 0.482575i | 0.770296 | + | 0.0367960i | ||||
\(173\) | 0.484161 | + | 0.146869i | 0.0368101 | + | 0.0111662i | 0.308636 | − | 0.951180i | \(-0.400127\pi\) |
−0.271826 | + | 0.962346i | \(0.587627\pi\) | |||||||
\(174\) | 2.22826 | + | 1.24864i | 0.168924 | + | 0.0946593i | ||||
\(175\) | −5.91556 | − | 14.2814i | −0.447174 | − | 1.07957i | ||||
\(176\) | −7.31519 | + | 7.35494i | −0.551403 | + | 0.554400i | ||||
\(177\) | −10.0333 | + | 4.79427i | −0.754148 | + | 0.360359i | ||||
\(178\) | 0.180005 | − | 1.04158i | 0.0134919 | − | 0.0780700i | ||||
\(179\) | −2.63681 | − | 4.93312i | −0.197084 | − | 0.368719i | 0.763894 | − | 0.645341i | \(-0.223285\pi\) |
−0.960979 | + | 0.276623i | \(0.910785\pi\) | |||||||
\(180\) | 7.95717 | + | 1.10479i | 0.593092 | + | 0.0823462i | ||||
\(181\) | 5.95357 | + | 7.25445i | 0.442525 | + | 0.539219i | 0.945732 | − | 0.324947i | \(-0.105347\pi\) |
−0.503207 | + | 0.864166i | \(0.667847\pi\) | |||||||
\(182\) | −18.3993 | − | 9.24579i | −1.36384 | − | 0.685343i | ||||
\(183\) | 15.0082 | + | 8.91470i | 1.10944 | + | 0.658993i | ||||
\(184\) | 23.7050 | − | 6.61197i | 1.74756 | − | 0.487441i | ||||
\(185\) | −2.90519 | + | 14.6054i | −0.213594 | + | 1.07381i | ||||
\(186\) | −8.65276 | + | 12.4082i | −0.634451 | + | 0.909811i | ||||
\(187\) | −0.934686 | + | 1.74867i | −0.0683510 | + | 0.127876i | ||||
\(188\) | 6.48498 | + | 13.6634i | 0.472966 | + | 0.996507i | ||||
\(189\) | 21.6326 | + | 12.6180i | 1.57354 | + | 0.917828i | ||||
\(190\) | 2.26832 | − | 0.0572219i | 0.164561 | − | 0.00415131i | ||||
\(191\) | 1.34059i | 0.0970017i | 0.998823 | + | 0.0485008i | \(0.0154444\pi\) | ||||
−0.998823 | + | 0.0485008i | \(0.984556\pi\) | |||||||
\(192\) | 12.2724 | + | 6.43342i | 0.885682 | + | 0.464292i | ||||
\(193\) | − | 4.39991i | − | 0.316712i | −0.987382 | − | 0.158356i | \(-0.949381\pi\) | ||
0.987382 | − | 0.158356i | \(-0.0506194\pi\) | |||||||
\(194\) | −0.567406 | − | 22.4924i | −0.0407374 | − | 1.61486i | ||||
\(195\) | 4.15112 | − | 5.64387i | 0.297268 | − | 0.404166i | ||||
\(196\) | −10.8934 | + | 30.5756i | −0.778100 | + | 2.18397i | ||||
\(197\) | 3.15098 | − | 5.89508i | 0.224498 | − | 0.420007i | −0.744304 | − | 0.667841i | \(-0.767219\pi\) |
0.968803 | + | 0.247834i | \(0.0797187\pi\) | |||||||
\(198\) | −2.50319 | − | 10.7141i | −0.177894 | − | 0.761419i | ||||
\(199\) | 2.55931 | − | 12.8665i | 0.181425 | − | 0.912084i | −0.777599 | − | 0.628760i | \(-0.783563\pi\) |
0.959024 | − | 0.283324i | \(-0.0914373\pi\) | |||||||
\(200\) | 9.00564 | + | 1.09216i | 0.636795 | + | 0.0772275i | ||||
\(201\) | 6.82311 | − | 11.4869i | 0.481265 | − | 0.810226i | ||||
\(202\) | 0.480386 | − | 0.955975i | 0.0337998 | − | 0.0672622i | ||||
\(203\) | −3.18834 | − | 3.88500i | −0.223778 | − | 0.272674i | ||||
\(204\) | 2.60038 | + | 0.502859i | 0.182063 | + | 0.0352071i | ||||
\(205\) | −0.738282 | − | 1.38123i | −0.0515639 | − | 0.0964692i | ||||
\(206\) | 5.64110 | + | 0.974887i | 0.393034 | + | 0.0679236i | ||||
\(207\) | −7.37848 | + | 25.0382i | −0.512840 | + | 1.74027i | ||||
\(208\) | 10.0295 | − | 6.74087i | 0.695419 | − | 0.467395i | ||||
\(209\) | −1.18925 | − | 2.87111i | −0.0822624 | − | 0.198599i | ||||
\(210\) | −13.7894 | − | 7.72711i | −0.951560 | − | 0.533221i | ||||
\(211\) | −8.66840 | − | 2.62953i | −0.596757 | − | 0.181024i | −0.0225659 | − | 0.999745i | \(-0.507184\pi\) |
−0.574192 | + | 0.818721i | \(0.694684\pi\) | |||||||
\(212\) | −13.6845 | − | 15.0575i | −0.939857 | − | 1.03415i | ||||
\(213\) | −17.7229 | + | 16.1918i | −1.21435 | + | 1.10944i | ||||
\(214\) | −10.7724 | + | 9.30504i | −0.736383 | + | 0.636079i | ||||
\(215\) | 3.76166 | − | 5.62972i | 0.256543 | − | 0.383943i | ||||
\(216\) | −12.6853 | + | 7.42181i | −0.863125 | + | 0.504990i | ||||
\(217\) | 24.7483 | − | 16.5363i | 1.68003 | − | 1.12256i | ||||
\(218\) | 2.02084 | + | 3.56166i | 0.136869 | + | 0.241226i | ||||
\(219\) | 8.45062 | + | 3.95583i | 0.571040 | + | 0.267310i | ||||
\(220\) | 1.69651 | + | 6.73414i | 0.114379 | + | 0.454016i | ||||
\(221\) | 1.46534 | − | 1.78552i | 0.0985693 | − | 0.120107i | ||||
\(222\) | −12.3620 | − | 24.2772i | −0.829681 | − | 1.62938i | ||||
\(223\) | −15.1246 | − | 15.1246i | −1.01281 | − | 1.01281i | −0.999917 | − | 0.0128981i | \(-0.995894\pi\) |
−0.0128981 | − | 0.999917i | \(-0.504106\pi\) | |||||||
\(224\) | −17.8780 | − | 20.5842i | −1.19452 | − | 1.37534i | ||||
\(225\) | −6.04477 | + | 7.48611i | −0.402985 | + | 0.499074i | ||||
\(226\) | −3.46450 | − | 7.80152i | −0.230455 | − | 0.518950i | ||||
\(227\) | 3.53243 | − | 4.30428i | 0.234456 | − | 0.285685i | −0.642470 | − | 0.766311i | \(-0.722090\pi\) |
0.876926 | + | 0.480626i | \(0.159590\pi\) | |||||||
\(228\) | −3.19478 | + | 2.65050i | −0.211579 | + | 0.175534i | ||||
\(229\) | −7.41934 | + | 2.25063i | −0.490284 | + | 0.148726i | −0.525740 | − | 0.850645i | \(-0.676212\pi\) |
0.0354564 | + | 0.999371i | \(0.488712\pi\) | |||||||
\(230\) | 4.38341 | − | 15.8815i | 0.289034 | − | 1.04719i | ||||
\(231\) | −3.09145 | + | 21.4271i | −0.203402 | + | 1.40980i | ||||
\(232\) | 2.90496 | − | 0.510142i | 0.190720 | − | 0.0334925i | ||||
\(233\) | 1.11580 | − | 1.66991i | 0.0730982 | − | 0.109399i | −0.793119 | − | 0.609066i | \(-0.791544\pi\) |
0.866218 | + | 0.499667i | \(0.166544\pi\) | |||||||
\(234\) | 0.425050 | + | 12.8103i | 0.0277864 | + | 0.837433i | ||||
\(235\) | 10.0763 | + | 0.992431i | 0.657307 | + | 0.0647390i | ||||
\(236\) | −5.47413 | + | 11.6148i | −0.356336 | + | 0.756057i | ||||
\(237\) | 1.26749 | + | 2.09574i | 0.0823320 | + | 0.136133i | ||||
\(238\) | −4.40471 | − | 2.78507i | −0.285515 | − | 0.180529i | ||||
\(239\) | 2.19942 | + | 5.30988i | 0.142269 | + | 0.343467i | 0.978912 | − | 0.204280i | \(-0.0654854\pi\) |
−0.836644 | + | 0.547748i | \(0.815485\pi\) | |||||||
\(240\) | 7.92448 | − | 4.82203i | 0.511523 | − | 0.311261i | ||||
\(241\) | −7.55594 | + | 18.2417i | −0.486721 | + | 1.17505i | 0.469639 | + | 0.882858i | \(0.344384\pi\) |
−0.956360 | + | 0.292190i | \(0.905616\pi\) | |||||||
\(242\) | −4.94004 | + | 3.48418i | −0.317558 | + | 0.223972i | ||||
\(243\) | 0.455426 | − | 15.5818i | 0.0292156 | − | 0.999573i | ||||
\(244\) | 19.9345 | − | 2.98461i | 1.27617 | − | 0.191070i | ||||
\(245\) | 13.7850 | + | 16.7970i | 0.880689 | + | 1.07312i | ||||
\(246\) | 2.62478 | + | 1.14891i | 0.167350 | + | 0.0732519i | ||||
\(247\) | 0.706270 | + | 3.55066i | 0.0449389 | + | 0.225923i | ||||
\(248\) | 1.32039 | + | 17.4174i | 0.0838446 | + | 1.10601i | ||||
\(249\) | −11.5476 | − | 15.4415i | −0.731801 | − | 0.978568i | ||||
\(250\) | 9.55279 | − | 12.2579i | 0.604172 | − | 0.775257i | ||||
\(251\) | −9.11942 | + | 17.0612i | −0.575613 | + | 1.07690i | 0.410663 | + | 0.911787i | \(0.365297\pi\) |
−0.986275 | + | 0.165108i | \(0.947203\pi\) | |||||||
\(252\) | 28.5642 | − | 4.50904i | 1.79938 | − | 0.284043i | ||||
\(253\) | −22.4558 | + | 2.21171i | −1.41179 | + | 0.139049i | ||||
\(254\) | −11.5957 | + | 12.1959i | −0.727580 | + | 0.765239i | ||||
\(255\) | 1.18551 | − | 1.31850i | 0.0742395 | − | 0.0825676i | ||||
\(256\) | 15.6754 | − | 3.20645i | 0.979713 | − | 0.200403i | ||||
\(257\) | 2.78236i | 0.173559i | 0.996228 | + | 0.0867796i | \(0.0276576\pi\) | ||||
−0.996228 | + | 0.0867796i | \(0.972342\pi\) | |||||||
\(258\) | 0.968682 | + | 12.3490i | 0.0603075 | + | 0.768812i | ||||
\(259\) | 5.25416 | + | 53.3464i | 0.326477 | + | 3.31478i | ||||
\(260\) | −0.407902 | − | 8.07963i | −0.0252970 | − | 0.501077i | ||||
\(261\) | −1.17415 | + | 2.89961i | −0.0726781 | + | 0.179482i | ||||
\(262\) | 4.02500 | + | 3.13675i | 0.248665 | + | 0.193789i | ||||
\(263\) | −6.20302 | + | 31.1847i | −0.382494 | + | 1.92293i | 0.00246681 | + | 0.999997i | \(0.499215\pi\) |
−0.384961 | + | 0.922933i | \(0.625785\pi\) | |||||||
\(264\) | −10.0625 | − | 7.75607i | −0.619305 | − | 0.477353i | ||||
\(265\) | −13.3596 | + | 2.65740i | −0.820676 | + | 0.163243i | ||||
\(266\) | 7.75382 | − | 2.56734i | 0.475417 | − | 0.157414i | ||||
\(267\) | 1.29327 | + | 0.0583838i | 0.0791466 | + | 0.00357303i | ||||
\(268\) | −2.28435 | − | 15.2574i | −0.139539 | − | 0.931993i | ||||
\(269\) | −13.3998 | − | 25.0693i | −0.817002 | − | 1.52850i | −0.848619 | − | 0.529004i | \(-0.822566\pi\) |
0.0316170 | − | 0.999500i | \(-0.489934\pi\) | |||||||
\(270\) | −0.117530 | + | 9.83828i | −0.00715265 | + | 0.598739i | ||||
\(271\) | 25.1025 | + | 10.3978i | 1.52487 | + | 0.631620i | 0.978559 | − | 0.205965i | \(-0.0660334\pi\) |
0.546306 | + | 0.837585i | \(0.316033\pi\) | |||||||
\(272\) | 2.69325 | − | 1.44897i | 0.163302 | − | 0.0878568i | ||||
\(273\) | 8.40179 | − | 23.7789i | 0.508500 | − | 1.43916i | ||||
\(274\) | −9.65761 | + | 15.2739i | −0.583438 | + | 0.922731i | ||||
\(275\) | −7.95949 | − | 2.41449i | −0.479976 | − | 0.145599i | ||||
\(276\) | 11.6826 | + | 27.7846i | 0.703211 | + | 1.67244i | ||||
\(277\) | 0.195977 | − | 1.98978i | 0.0117751 | − | 0.119555i | −0.987500 | − | 0.157617i | \(-0.949619\pi\) |
0.999275 | + | 0.0380629i | \(0.0121187\pi\) | |||||||
\(278\) | 0.491138 | − | 6.72025i | 0.0294565 | − | 0.403054i | ||||
\(279\) | −16.4082 | − | 8.60344i | −0.982335 | − | 0.515074i | ||||
\(280\) | −17.9771 | + | 3.15697i | −1.07434 | + | 0.188665i | ||||
\(281\) | −8.00577 | + | 5.34929i | −0.477584 | + | 0.319112i | −0.770958 | − | 0.636886i | \(-0.780222\pi\) |
0.293373 | + | 0.955998i | \(0.405222\pi\) | |||||||
\(282\) | −15.6033 | + | 9.98265i | −0.929162 | + | 0.594458i | ||||
\(283\) | 2.24556 | + | 7.40262i | 0.133485 | + | 0.440040i | 0.998046 | − | 0.0624878i | \(-0.0199034\pi\) |
−0.864561 | + | 0.502528i | \(0.832403\pi\) | |||||||
\(284\) | −4.03012 | + | 27.4249i | −0.239144 | + | 1.62737i | ||||
\(285\) | 0.418684 | + | 2.74728i | 0.0248007 | + | 0.162735i | ||||
\(286\) | −10.1263 | + | 4.49690i | −0.598782 | + | 0.265907i | ||||
\(287\) | −3.98642 | − | 3.98642i | −0.235311 | − | 0.235311i | ||||
\(288\) | −5.92777 | + | 15.9016i | −0.349297 | + | 0.937012i | ||||
\(289\) | −11.6075 | + | 11.6075i | −0.682792 | + | 0.682792i | ||||
\(290\) | 0.709367 | − | 1.84268i | 0.0416555 | − | 0.108206i | ||||
\(291\) | 27.2417 | − | 4.15162i | 1.59694 | − | 0.243372i | ||||
\(292\) | 10.4477 | − | 2.63206i | 0.611405 | − | 0.154030i | ||||
\(293\) | 20.3178 | − | 6.16334i | 1.18698 | − | 0.360066i | 0.365776 | − | 0.930703i | \(-0.380804\pi\) |
0.821203 | + | 0.570637i | \(0.193304\pi\) | |||||||
\(294\) | −38.8271 | − | 8.52943i | −2.26444 | − | 0.497446i | ||||
\(295\) | 4.77564 | + | 7.14726i | 0.278049 | + | 0.416129i | ||||
\(296\) | −28.7850 | − | 12.6896i | −1.67309 | − | 0.737566i | ||||
\(297\) | 12.6327 | − | 4.69065i | 0.733023 | − | 0.272179i | ||||
\(298\) | −3.70430 | − | 4.28844i | −0.214585 | − | 0.248423i | ||||
\(299\) | 26.1595 | + | 2.57648i | 1.51284 | + | 0.149002i | ||||
\(300\) | 0.0592018 | + | 11.1103i | 0.00341802 | + | 0.641451i | ||||
\(301\) | 7.07500 | − | 23.3232i | 0.407797 | − | 1.34432i | ||||
\(302\) | 24.4313 | − | 5.50363i | 1.40587 | − | 0.316698i | ||||
\(303\) | 1.23549 | + | 0.436534i | 0.0709768 | + | 0.0250782i | ||||
\(304\) | −0.922382 | + | 4.70371i | −0.0529022 | + | 0.269776i | ||||
\(305\) | 5.16394 | − | 12.4669i | 0.295686 | − | 0.713850i | ||||
\(306\) | −0.210720 | + | 3.23695i | −0.0120461 | + | 0.185044i | ||||
\(307\) | 0.456998 | − | 0.244271i | 0.0260823 | − | 0.0139413i | −0.458304 | − | 0.888795i | \(-0.651543\pi\) |
0.484386 | + | 0.874854i | \(0.339043\pi\) | |||||||
\(308\) | 12.8806 | + | 21.4241i | 0.733942 | + | 1.22075i | ||||
\(309\) | −0.316200 | + | 7.00418i | −0.0179880 | + | 0.398454i | ||||
\(310\) | 10.4487 | + | 5.25054i | 0.593444 | + | 0.298211i | ||||
\(311\) | −4.93702 | − | 24.8201i | −0.279953 | − | 1.40742i | −0.823155 | − | 0.567817i | \(-0.807788\pi\) |
0.543202 | − | 0.839602i | \(-0.317212\pi\) | |||||||
\(312\) | 9.73420 | + | 11.1485i | 0.551090 | + | 0.631162i | ||||
\(313\) | −4.66561 | − | 0.928047i | −0.263716 | − | 0.0524563i | 0.0614614 | − | 0.998109i | \(-0.480424\pi\) |
−0.325177 | + | 0.945653i | \(0.605424\pi\) | |||||||
\(314\) | 2.36370 | − | 0.293161i | 0.133391 | − | 0.0165440i | ||||
\(315\) | 7.26613 | − | 17.9440i | 0.409400 | − | 1.01103i | ||||
\(316\) | 2.66408 | + | 0.949152i | 0.149866 | + | 0.0533940i | ||||
\(317\) | 4.24902 | − | 0.418492i | 0.238649 | − | 0.0235049i | 0.0220144 | − | 0.999758i | \(-0.492992\pi\) |
0.216634 | + | 0.976253i | \(0.430492\pi\) | |||||||
\(318\) | 16.1889 | − | 18.9449i | 0.907831 | − | 1.06238i | ||||
\(319\) | −2.70427 | −0.151410 | ||||||||
\(320\) | 3.56751 | − | 10.0998i | 0.199430 | − | 0.564595i | ||||
\(321\) | −12.9641 | − | 11.6565i | −0.723585 | − | 0.650601i | ||||
\(322\) | −1.49560 | − | 59.2867i | −0.0833465 | − | 3.30392i | ||||
\(323\) | 0.0898038 | + | 0.911794i | 0.00499682 | + | 0.0507335i | ||||
\(324\) | −10.9704 | − | 14.2706i | −0.609465 | − | 0.792813i | ||||
\(325\) | 8.54536 | + | 4.56759i | 0.474012 | + | 0.253364i | ||||
\(326\) | 1.26068 | − | 0.156357i | 0.0698225 | − | 0.00865981i | ||||
\(327\) | −4.01647 | + | 3.00363i | −0.222111 | + | 0.166101i | ||||
\(328\) | 3.18683 | − | 0.888891i | 0.175963 | − | 0.0490808i | ||||
\(329\) | 35.7466 | − | 7.11044i | 1.97077 | − | 0.392011i | ||||
\(330\) | −7.92106 | + | 3.09789i | −0.436040 | + | 0.170533i | ||||
\(331\) | −6.99150 | + | 5.73777i | −0.384288 | + | 0.315377i | −0.806627 | − | 0.591061i | \(-0.798709\pi\) |
0.422339 | + | 0.906438i | \(0.361209\pi\) | |||||||
\(332\) | −21.6048 | − | 5.38062i | −1.18572 | − | 0.295300i | ||||
\(333\) | 27.5948 | − | 18.7571i | 1.51218 | − | 1.02788i | ||||
\(334\) | −18.3432 | − | 3.17004i | −1.00369 | − | 0.173457i | ||||
\(335\) | −9.54185 | − | 3.95237i | −0.521327 | − | 0.215941i | ||||
\(336\) | 22.2585 | − | 24.8908i | 1.21430 | − | 1.35791i | ||||
\(337\) | −15.8549 | + | 6.56733i | −0.863673 | + | 0.357745i | −0.770143 | − | 0.637871i | \(-0.779815\pi\) |
−0.0935303 | + | 0.995616i | \(0.529815\pi\) | |||||||
\(338\) | −5.34354 | + | 1.20373i | −0.290650 | + | 0.0654745i | ||||
\(339\) | 8.94583 | − | 5.41036i | 0.485871 | − | 0.293850i | ||||
\(340\) | 0.0976900 | − | 2.04506i | 0.00529798 | − | 0.110909i | ||||
\(341\) | 1.56981 | − | 15.9385i | 0.0850098 | − | 0.863119i | ||||
\(342\) | −3.71221 | − | 3.47378i | −0.200733 | − | 0.187840i | ||||
\(343\) | 36.9846 | + | 24.7123i | 1.99698 | + | 1.33434i | ||||
\(344\) | 9.88364 | + | 10.3389i | 0.532890 | + | 0.557439i | ||||
\(345\) | 19.9712 | + | 2.88140i | 1.07522 | + | 0.155129i | ||||
\(346\) | 0.353099 | + | 0.622323i | 0.0189827 | + | 0.0334563i | ||||
\(347\) | −9.27162 | − | 30.5644i | −0.497727 | − | 1.64078i | −0.741500 | − | 0.670952i | \(-0.765885\pi\) |
0.243774 | − | 0.969832i | \(-0.421615\pi\) | |||||||
\(348\) | 1.06699 | + | 3.45109i | 0.0571968 | + | 0.184998i | ||||
\(349\) | −12.2885 | − | 10.0849i | −0.657787 | − | 0.539832i | 0.245215 | − | 0.969469i | \(-0.421141\pi\) |
−0.903002 | + | 0.429637i | \(0.858641\pi\) | |||||||
\(350\) | 7.85386 | − | 20.4015i | 0.419807 | − | 1.09051i | ||||
\(351\) | −15.4995 | + | 2.48830i | −0.827301 | + | 0.132816i | ||||
\(352\) | −14.6645 | + | 0.409702i | −0.781619 | + | 0.0218372i | ||||
\(353\) | 15.7895 | − | 15.7895i | 0.840392 | − | 0.840392i | −0.148518 | − | 0.988910i | \(-0.547450\pi\) |
0.988910 | + | 0.148518i | \(0.0474502\pi\) | |||||||
\(354\) | −14.9550 | − | 4.86342i | −0.794847 | − | 0.258488i | ||||
\(355\) | 14.3447 | + | 11.7724i | 0.761340 | + | 0.624815i | ||||
\(356\) | 1.19947 | − | 0.892111i | 0.0635719 | − | 0.0472818i | ||||
\(357\) | 2.70595 | − | 5.78057i | 0.143214 | − | 0.305940i | ||||
\(358\) | 2.10468 | − | 7.62543i | 0.111236 | − | 0.403017i | ||||
\(359\) | −10.6345 | − | 15.9156i | −0.561267 | − | 0.839996i | 0.436962 | − | 0.899480i | \(-0.356054\pi\) |
−0.998229 | + | 0.0594841i | \(0.981054\pi\) | |||||||
\(360\) | 7.07873 | + | 8.88627i | 0.373082 | + | 0.468348i | ||||
\(361\) | 14.6039 | + | 9.75805i | 0.768629 | + | 0.513581i | ||||
\(362\) | −0.967376 | + | 13.2366i | −0.0508441 | + | 0.695701i | ||||
\(363\) | −4.99381 | − | 5.46601i | −0.262107 | − | 0.286891i | ||||
\(364\) | −9.84772 | − | 27.4054i | −0.516161 | − | 1.43643i | ||||
\(365\) | 2.09378 | − | 6.90225i | 0.109593 | − | 0.361280i | ||||
\(366\) | 6.69486 | + | 23.7616i | 0.349946 | + | 1.24204i | ||||
\(367\) | −6.46888 | + | 2.67950i | −0.337673 | + | 0.139869i | −0.545075 | − | 0.838387i | \(-0.683499\pi\) |
0.207403 | + | 0.978256i | \(0.433499\pi\) | |||||||
\(368\) | 30.7384 | + | 16.3231i | 1.60235 | + | 0.850900i | ||||
\(369\) | −0.991938 | + | 3.36605i | −0.0516382 | + | 0.175230i | ||||
\(370\) | −17.2099 | + | 12.1380i | −0.894701 | + | 0.631027i | ||||
\(371\) | −43.2427 | + | 23.1137i | −2.24505 | + | 1.20000i | ||||
\(372\) | −20.9595 | + | 4.28533i | −1.08670 | + | 0.222184i | ||||
\(373\) | 24.4440 | − | 20.0607i | 1.26566 | − | 1.03870i | 0.268512 | − | 0.963276i | \(-0.413468\pi\) |
0.997151 | − | 0.0754268i | \(-0.0240319\pi\) | |||||||
\(374\) | −2.66198 | + | 0.881400i | −0.137648 | + | 0.0455761i | ||||
\(375\) | 16.3642 | + | 9.72014i | 0.845042 | + | 0.501946i | ||||
\(376\) | −6.66803 | + | 20.3230i | −0.343878 | + | 1.04808i | ||||
\(377\) | 3.08976 | + | 0.614592i | 0.159131 | + | 0.0316531i | ||||
\(378\) | 9.87545 | + | 34.0124i | 0.507938 | + | 1.74941i | ||||
\(379\) | −25.1302 | − | 13.4324i | −1.29085 | − | 0.689974i | −0.324180 | − | 0.945996i | \(-0.605088\pi\) |
−0.966671 | + | 0.256022i | \(0.917588\pi\) | |||||||
\(380\) | 2.38056 | + | 2.15175i | 0.122120 | + | 0.110382i | ||||
\(381\) | −16.6033 | − | 12.2119i | −0.850614 | − | 0.625635i | ||||
\(382\) | −1.30636 | + | 1.37397i | −0.0668390 | + | 0.0702985i | ||||
\(383\) | 7.18811 | 0.367295 | 0.183648 | − | 0.982992i | \(-0.441209\pi\) | ||||
0.183648 | + | 0.982992i | \(0.441209\pi\) | |||||||
\(384\) | 6.30882 | + | 18.5526i | 0.321946 | + | 0.946758i | ||||
\(385\) | 16.7352 | 0.852903 | ||||||||
\(386\) | 4.28755 | − | 4.50947i | 0.218231 | − | 0.229526i | ||||
\(387\) | −14.8553 | + | 3.07782i | −0.755137 | + | 0.156455i | ||||
\(388\) | 21.3365 | − | 23.6054i | 1.08320 | − | 1.19838i | ||||
\(389\) | −13.3943 | − | 7.15941i | −0.679119 | − | 0.362997i | 0.0954960 | − | 0.995430i | \(-0.469556\pi\) |
−0.774615 | + | 0.632433i | \(0.782056\pi\) | |||||||
\(390\) | 9.75423 | − | 1.73929i | 0.493925 | − | 0.0880724i | ||||
\(391\) | 6.52465 | + | 1.29783i | 0.329966 | + | 0.0656343i | ||||
\(392\) | −40.9594 | + | 20.7217i | −2.06876 | + | 1.04660i | ||||
\(393\) | −3.19170 | + | 5.37334i | −0.161000 | + | 0.271049i | ||||
\(394\) | 8.97398 | − | 2.97135i | 0.452103 | − | 0.149694i | ||||
\(395\) | 1.46354 | − | 1.20110i | 0.0736388 | − | 0.0604338i | ||||
\(396\) | 7.87499 | − | 13.4202i | 0.395733 | − | 0.674388i | ||||
\(397\) | 17.5386 | − | 9.37455i | 0.880235 | − | 0.470495i | 0.0316159 | − | 0.999500i | \(-0.489935\pi\) |
0.848619 | + | 0.529005i | \(0.177435\pi\) | |||||||
\(398\) | 15.1610 | − | 10.6930i | 0.759953 | − | 0.535990i | ||||
\(399\) | 4.31294 | + | 9.02597i | 0.215917 | + | 0.451864i | ||||
\(400\) | 8.16561 | + | 9.89502i | 0.408281 | + | 0.494751i | ||||
\(401\) | −14.1643 | + | 5.86704i | −0.707330 | + | 0.292986i | −0.707199 | − | 0.707014i | \(-0.750042\pi\) |
−0.000130881 | 1.00000i | \(0.500042\pi\) | ||||||||
\(402\) | 18.1866 | − | 5.12409i | 0.907065 | − | 0.255567i | ||||
\(403\) | −5.41587 | + | 17.8537i | −0.269784 | + | 0.889358i | ||||
\(404\) | 1.42391 | − | 0.511661i | 0.0708422 | − | 0.0254561i | ||||
\(405\) | −11.9719 | + | 1.37158i | −0.594890 | + | 0.0681543i | ||||
\(406\) | 0.518063 | − | 7.08866i | 0.0257110 | − | 0.351804i | ||||
\(407\) | 23.9824 | + | 16.0245i | 1.18876 | + | 0.794305i | ||||
\(408\) | 2.17511 | + | 3.04936i | 0.107684 | + | 0.150966i | ||||
\(409\) | 7.81945 | + | 11.7026i | 0.386647 | + | 0.578658i | 0.972830 | − | 0.231520i | \(-0.0743700\pi\) |
−0.586183 | + | 0.810179i | \(0.699370\pi\) | |||||||
\(410\) | 0.589291 | − | 2.13505i | 0.0291030 | − | 0.105443i | ||||
\(411\) | −20.0449 | − | 9.38324i | −0.988742 | − | 0.462841i | ||||
\(412\) | 4.83157 | + | 6.49620i | 0.238034 | + | 0.320045i | ||||
\(413\) | 23.9189 | + | 19.6297i | 1.17697 | + | 0.965915i | ||||
\(414\) | −31.9610 | + | 18.4716i | −1.57080 | + | 0.907829i | ||||
\(415\) | −10.5396 | + | 10.5396i | −0.517371 | + | 0.517371i | ||||
\(416\) | 16.8480 | + | 2.86464i | 0.826039 | + | 0.140451i | ||||
\(417\) | 8.24093 | − | 0.437682i | 0.403560 | − | 0.0214334i | ||||
\(418\) | 1.57893 | − | 4.10149i | 0.0772279 | − | 0.200610i | ||||
\(419\) | −20.0838 | − | 16.4823i | −0.981157 | − | 0.805215i | −0.000311490 | − | 1.00000i | \(-0.500099\pi\) |
−0.980846 | + | 0.194785i | \(0.937599\pi\) | |||||||
\(420\) | −6.60299 | − | 21.3568i | −0.322193 | − | 1.04211i | ||||
\(421\) | −1.97232 | − | 6.50185i | −0.0961248 | − | 0.316881i | 0.895670 | − | 0.444719i | \(-0.146696\pi\) |
−0.991795 | + | 0.127838i | \(0.959196\pi\) | |||||||
\(422\) | −6.32187 | − | 11.1421i | −0.307744 | − | 0.542387i | ||||
\(423\) | −14.5310 | − | 17.4219i | −0.706522 | − | 0.847082i | ||||
\(424\) | 0.647701 | − | 28.7675i | 0.0314551 | − | 1.39707i | ||||
\(425\) | 2.03894 | + | 1.36238i | 0.0989032 | + | 0.0660850i | ||||
\(426\) | −33.9425 | − | 0.675296i | −1.64452 | − | 0.0327182i | ||||
\(427\) | 4.76109 | − | 48.3401i | 0.230405 | − | 2.33934i | ||||
\(428\) | −20.1080 | − | 0.960533i | −0.971958 | − | 0.0464291i | ||||
\(429\) | −7.02260 | − | 11.6116i | −0.339055 | − | 0.560614i | ||||
\(430\) | 9.34128 | − | 2.10430i | 0.450476 | − | 0.101478i | ||||
\(431\) | 24.5930 | − | 10.1868i | 1.18460 | − | 0.490679i | 0.298610 | − | 0.954375i | \(-0.403477\pi\) |
0.885994 | + | 0.463696i | \(0.153477\pi\) | |||||||
\(432\) | −20.2334 | − | 4.75474i | −0.973482 | − | 0.228763i | ||||
\(433\) | 7.33539 | + | 3.03842i | 0.352516 | + | 0.146017i | 0.551913 | − | 0.833902i | \(-0.313898\pi\) |
−0.199397 | + | 0.979919i | \(0.563898\pi\) | |||||||
\(434\) | 41.4786 | + | 7.16828i | 1.99104 | + | 0.344088i | ||||
\(435\) | 2.34811 | + | 0.578265i | 0.112583 | + | 0.0277257i | ||||
\(436\) | −1.39954 | + | 5.61958i | −0.0670259 | + | 0.269129i | ||||
\(437\) | −8.05980 | + | 6.61451i | −0.385553 | + | 0.316415i | ||||
\(438\) | 4.80623 | + | 12.2892i | 0.229650 | + | 0.587198i | ||||
\(439\) | −2.33777 | + | 0.465011i | −0.111576 | + | 0.0221938i | −0.250562 | − | 0.968100i | \(-0.580615\pi\) |
0.138987 | + | 0.990294i | \(0.455615\pi\) | |||||||
\(440\) | −4.82341 | + | 8.55501i | −0.229947 | + | 0.407844i | ||||
\(441\) | 4.38698 | − | 48.4892i | 0.208904 | − | 2.30901i | ||||
\(442\) | 3.24175 | − | 0.402062i | 0.154194 | − | 0.0191241i | ||||
\(443\) | 26.9634 | + | 14.4122i | 1.28107 | + | 0.684745i | 0.964565 | − | 0.263846i | \(-0.0849911\pi\) |
0.316504 | + | 0.948591i | \(0.397491\pi\) | |||||||
\(444\) | 10.9875 | − | 36.9280i | 0.521441 | − | 1.75253i | ||||
\(445\) | −0.0980900 | − | 0.995925i | −0.00464991 | − | 0.0472114i | ||||
\(446\) | −0.762838 | − | 30.2395i | −0.0361214 | − | 1.43188i | ||||
\(447\) | 4.64040 | − | 5.16096i | 0.219484 | − | 0.244105i | ||||
\(448\) | 1.73535 | − | 38.5182i | 0.0819877 | − | 1.81981i | ||||
\(449\) | −6.06690 | −0.286315 | −0.143157 | − | 0.989700i | \(-0.545726\pi\) | ||||
−0.143157 | + | 0.989700i | \(0.545726\pi\) | |||||||
\(450\) | −13.4902 | + | 1.78211i | −0.635936 | + | 0.0840093i | ||||
\(451\) | −3.01889 | + | 0.297334i | −0.142154 | + | 0.0140009i | ||||
\(452\) | 4.05153 | − | 11.3718i | 0.190568 | − | 0.534885i | ||||
\(453\) | 10.4477 | + | 28.8377i | 0.490878 | + | 1.35491i | ||||
\(454\) | 7.81475 | − | 0.969233i | 0.366764 | − | 0.0454884i | ||||
\(455\) | −19.1207 | − | 3.80335i | −0.896393 | − | 0.178304i | ||||
\(456\) | −5.85715 | − | 0.396695i | −0.274286 | − | 0.0185769i | ||||
\(457\) | 5.05627 | + | 25.4196i | 0.236523 | + | 1.18908i | 0.898301 | + | 0.439380i | \(0.144802\pi\) |
−0.661779 | + | 0.749699i | \(0.730198\pi\) | |||||||
\(458\) | −9.79724 | − | 4.92320i | −0.457795 | − | 0.230046i | ||||
\(459\) | −3.96544 | + | 0.242224i | −0.185091 | + | 0.0113061i | ||||
\(460\) | 19.9685 | − | 12.0054i | 0.931035 | − | 0.559757i | ||||
\(461\) | −32.8210 | + | 17.5432i | −1.52863 | + | 0.817068i | −0.999504 | − | 0.0314772i | \(-0.989979\pi\) |
−0.529123 | + | 0.848545i | \(0.677479\pi\) | |||||||
\(462\) | −24.0484 | + | 18.9481i | −1.11883 | + | 0.881548i | ||||
\(463\) | 9.58657 | − | 23.1440i | 0.445526 | − | 1.07559i | −0.528454 | − | 0.848962i | \(-0.677228\pi\) |
0.973980 | − | 0.226633i | \(-0.0727717\pi\) | |||||||
\(464\) | 3.47441 | + | 2.30793i | 0.161295 | + | 0.107143i | ||||
\(465\) | −4.77125 | + | 13.5037i | −0.221261 | + | 0.626218i | ||||
\(466\) | 2.77084 | − | 0.624185i | 0.128357 | − | 0.0289148i | ||||
\(467\) | −10.3545 | + | 34.1341i | −0.479148 | + | 1.57954i | 0.300795 | + | 0.953689i | \(0.402748\pi\) |
−0.779943 | + | 0.625851i | \(0.784752\pi\) | |||||||
\(468\) | −12.0475 | + | 13.5434i | −0.556896 | + | 0.626046i | ||||
\(469\) | −36.9985 | − | 3.64403i | −1.70843 | − | 0.168266i | ||||
\(470\) | 9.36014 | + | 10.8361i | 0.431751 | + | 0.499834i | ||||
\(471\) | 0.720038 | + | 2.82685i | 0.0331776 | + | 0.130254i | ||||
\(472\) | −16.9286 | + | 6.56964i | −0.779202 | + | 0.302392i | ||||
\(473\) | −7.28595 | − | 10.9042i | −0.335008 | − | 0.501376i | ||||
\(474\) | −0.743177 | + | 3.38305i | −0.0341353 | + | 0.155388i | ||||
\(475\) | −3.67789 | + | 1.11568i | −0.168753 | + | 0.0511908i | ||||
\(476\) | −1.80044 | − | 7.14665i | −0.0825229 | − | 0.327566i | ||||
\(477\) | 25.5106 | + | 16.7540i | 1.16805 | + | 0.767111i | ||||
\(478\) | −2.92009 | + | 7.58535i | −0.133562 | + | 0.346946i | ||||
\(479\) | 15.9425 | − | 15.9425i | 0.728431 | − | 0.728431i | −0.241876 | − | 0.970307i | \(-0.577763\pi\) |
0.970307 | + | 0.241876i | \(0.0777627\pi\) | |||||||
\(480\) | 12.8207 | + | 2.78001i | 0.585182 | + | 0.126890i | ||||
\(481\) | −23.7591 | − | 23.7591i | −1.08332 | − | 1.08332i | ||||
\(482\) | −25.5199 | + | 11.3329i | −1.16240 | + | 0.516199i | ||||
\(483\) | 71.8052 | − | 10.9431i | 3.26725 | − | 0.497926i | ||||
\(484\) | −8.45826 | − | 1.24295i | −0.384466 | − | 0.0564979i | ||||
\(485\) | −6.18354 | − | 20.3844i | −0.280780 | − | 0.925608i | ||||
\(486\) | 15.6507 | − | 15.5260i | 0.709929 | − | 0.704274i | ||||
\(487\) | −33.5780 | + | 22.4361i | −1.52157 | + | 1.01668i | −0.536619 | + | 0.843825i | \(0.680299\pi\) |
−0.984948 | + | 0.172853i | \(0.944701\pi\) | |||||||
\(488\) | 23.3392 | + | 16.3665i | 1.05652 | + | 0.740875i | ||||
\(489\) | 0.384032 | + | 1.50770i | 0.0173665 | + | 0.0681805i | ||||
\(490\) | −2.23987 | + | 30.6482i | −0.101187 | + | 1.38455i | ||||
\(491\) | 1.35116 | − | 13.7186i | 0.0609771 | − | 0.619110i | −0.915328 | − | 0.402710i | \(-0.868068\pi\) |
0.976305 | − | 0.216400i | \(-0.0694317\pi\) | |||||||
\(492\) | 1.57057 | + | 3.73528i | 0.0708069 | + | 0.168399i | ||||
\(493\) | 0.762945 | + | 0.231437i | 0.0343613 | + | 0.0104234i | ||||
\(494\) | −2.73613 | + | 4.32731i | −0.123104 | + | 0.194695i | ||||
\(495\) | −4.98331 | − | 9.14751i | −0.223983 | − | 0.411150i | ||||
\(496\) | −15.6194 | + | 19.1378i | −0.701331 | + | 0.859313i | ||||
\(497\) | 61.7142 | + | 25.5629i | 2.76826 | + | 1.14665i | ||||
\(498\) | 3.21206 | − | 27.0788i | 0.143936 | − | 1.21343i | ||||
\(499\) | 2.51959 | + | 4.71382i | 0.112792 | + | 0.211020i | 0.931983 | − | 0.362501i | \(-0.118077\pi\) |
−0.819191 | + | 0.573521i | \(0.805577\pi\) | |||||||
\(500\) | 21.7355 | − | 3.25427i | 0.972042 | − | 0.145535i | ||||
\(501\) | 1.02819 | − | 22.7755i | 0.0459361 | − | 1.01754i | ||||
\(502\) | −25.9721 | + | 8.59953i | −1.15919 | + | 0.383816i | ||||
\(503\) | 2.67535 | − | 0.532161i | 0.119288 | − | 0.0237279i | −0.135085 | − | 0.990834i | \(-0.543131\pi\) |
0.254373 | + | 0.967106i | \(0.418131\pi\) | |||||||
\(504\) | 33.6694 | + | 23.2135i | 1.49975 | + | 1.03401i | ||||
\(505\) | 0.197611 | − | 0.993460i | 0.00879359 | − | 0.0442084i | ||||
\(506\) | −25.1702 | − | 19.6156i | −1.11895 | − | 0.872020i | ||||
\(507\) | −2.28510 | − | 6.30729i | −0.101485 | − | 0.280117i | ||||
\(508\) | −23.7689 | + | 1.19998i | −1.05457 | + | 0.0532404i | ||||
\(509\) | 0.959497 | + | 9.74194i | 0.0425290 | + | 0.431804i | 0.992747 | + | 0.120219i | \(0.0383597\pi\) |
−0.950218 | + | 0.311585i | \(0.899140\pi\) | |||||||
\(510\) | 2.49986 | − | 0.196095i | 0.110696 | − | 0.00868323i | ||||
\(511\) | − | 25.9638i | − | 1.14857i | ||||||
\(512\) | 19.1903 | + | 11.9888i | 0.848100 | + | 0.529836i | ||||
\(513\) | 3.64935 | − | 5.04517i | 0.161123 | − | 0.222750i | ||||
\(514\) | −2.71131 | + | 2.85165i | −0.119591 | + | 0.125781i | ||||
\(515\) | 5.39382 | − | 0.531245i | 0.237680 | − | 0.0234094i | ||||
\(516\) | −11.0408 | + | 13.6004i | −0.486044 | + | 0.598724i | ||||
\(517\) | 9.24468 | − | 17.2956i | 0.406581 | − | 0.760659i | ||||
\(518\) | −46.5991 | + | 59.7947i | −2.04745 | + | 2.62723i | ||||
\(519\) | −0.701792 | + | 0.524819i | −0.0308052 | + | 0.0230370i | ||||
\(520\) | 7.45525 | − | 8.67830i | 0.326934 | − | 0.380569i | ||||
\(521\) | 7.99982 | + | 40.2178i | 0.350479 | + | 1.76197i | 0.606286 | + | 0.795247i | \(0.292659\pi\) |
−0.255807 | + | 0.966728i | \(0.582341\pi\) | |||||||
\(522\) | −4.02896 | + | 1.82765i | −0.176343 | + | 0.0799940i | ||||
\(523\) | 9.66634 | + | 11.7785i | 0.422679 | + | 0.515036i | 0.940195 | − | 0.340638i | \(-0.110643\pi\) |
−0.517515 | + | 0.855674i | \(0.673143\pi\) | |||||||
\(524\) | 1.06857 | + | 7.13707i | 0.0466807 | + | 0.311784i | ||||
\(525\) | 25.9975 | + | 6.40235i | 1.13462 | + | 0.279421i | ||||
\(526\) | −36.7458 | + | 25.9166i | −1.60219 | + | 1.13002i | ||||
\(527\) | −1.80693 | + | 4.36232i | −0.0787112 | + | 0.190026i | ||||
\(528\) | −2.75507 | − | 17.7548i | −0.119899 | − | 0.772676i | ||||
\(529\) | 20.1697 | + | 48.6939i | 0.876942 | + | 2.11712i | ||||
\(530\) | −16.2818 | − | 10.2949i | −0.707238 | − | 0.447182i | ||||
\(531\) | 3.60724 | − | 18.9194i | 0.156541 | − | 0.821031i | ||||
\(532\) | 10.4487 | + | 4.92454i | 0.453008 | + | 0.213506i | ||||
\(533\) | 3.51679 | + | 0.346374i | 0.152329 | + | 0.0150031i | ||||
\(534\) | 1.26858 | + | 1.32008i | 0.0548967 | + | 0.0571254i | ||||
\(535\) | −7.48732 | + | 11.2056i | −0.323705 | + | 0.484459i | ||||
\(536\) | 12.5265 | − | 17.8633i | 0.541064 | − | 0.771578i | ||||
\(537\) | 9.58912 | + | 1.38349i | 0.413801 | + | 0.0597022i | ||||
\(538\) | 10.6956 | − | 38.7512i | 0.461122 | − | 1.67068i | ||||
\(539\) | 40.2753 | − | 12.2174i | 1.73478 | − | 0.526240i | ||||
\(540\) | −9.70750 | + | 9.96873i | −0.417744 | + | 0.428986i | ||||
\(541\) | −15.5383 | + | 18.9335i | −0.668044 | + | 0.814013i | −0.991206 | − | 0.132330i | \(-0.957754\pi\) |
0.323162 | + | 0.946344i | \(0.395254\pi\) | |||||||
\(542\) | 15.5953 | + | 35.1181i | 0.669874 | + | 1.50845i | ||||
\(543\) | −16.2318 | + | 0.862086i | −0.696575 | + | 0.0369956i | ||||
\(544\) | 4.17229 | + | 1.13943i | 0.178885 | + | 0.0488525i | ||||
\(545\) | 2.74145 | + | 2.74145i | 0.117431 | + | 0.117431i | ||||
\(546\) | 31.7827 | − | 16.1838i | 1.36017 | − | 0.692601i | ||||
\(547\) | −14.7526 | + | 17.9761i | −0.630775 | + | 0.768602i | −0.986102 | − | 0.166140i | \(-0.946869\pi\) |
0.355327 | + | 0.934742i | \(0.384369\pi\) | |||||||
\(548\) | −24.7820 | + | 6.24326i | −1.05863 | + | 0.266699i | ||||
\(549\) | −27.8406 | + | 11.7920i | −1.18821 | + | 0.503272i | ||||
\(550\) | −5.80486 | − | 10.2308i | −0.247520 | − | 0.436245i | ||||
\(551\) | −1.03899 | + | 0.694230i | −0.0442624 | + | 0.0295752i | ||||
\(552\) | −15.1016 | + | 39.8608i | −0.642767 | + | 1.69659i | ||||
\(553\) | 3.78635 | − | 5.66668i | 0.161012 | − | 0.240972i | ||||
\(554\) | 2.13983 | − | 1.84836i | 0.0909126 | − | 0.0785293i | ||||
\(555\) | −17.3972 | − | 19.0423i | −0.738471 | − | 0.808299i | ||||
\(556\) | 7.05201 | − | 6.40899i | 0.299072 | − | 0.271802i | ||||
\(557\) | −22.3149 | − | 6.76915i | −0.945513 | − | 0.286818i | −0.220370 | − | 0.975416i | \(-0.570726\pi\) |
−0.725143 | + | 0.688598i | \(0.758226\pi\) | |||||||
\(558\) | −8.43307 | − | 24.8069i | −0.357000 | − | 1.05016i | ||||
\(559\) | 5.84638 | + | 14.1144i | 0.247276 | + | 0.596976i | ||||
\(560\) | −21.5011 | − | 14.2824i | −0.908586 | − | 0.603542i | ||||
\(561\) | −1.48068 | − | 3.09872i | −0.0625144 | − | 0.130828i | ||||
\(562\) | −13.4178 | − | 2.31885i | −0.565996 | − | 0.0978147i | ||||
\(563\) | 13.5018 | + | 25.2600i | 0.569032 | + | 1.06458i | 0.987688 | + | 0.156439i | \(0.0500013\pi\) |
−0.418656 | + | 0.908145i | \(0.637499\pi\) | |||||||
\(564\) | −25.7195 | − | 4.97361i | −1.08299 | − | 0.209427i | ||||
\(565\) | −5.12698 | − | 6.24724i | −0.215693 | − | 0.262823i | ||||
\(566\) | −4.91211 | + | 9.77516i | −0.206471 | + | 0.410881i | ||||
\(567\) | −39.8061 | + | 17.2345i | −1.67170 | + | 0.723779i | ||||
\(568\) | −30.8550 | + | 24.1806i | −1.29465 | + | 1.01459i | ||||
\(569\) | 5.60767 | − | 28.1916i | 0.235086 | − | 1.18185i | −0.665237 | − | 0.746632i | \(-0.731670\pi\) |
0.900323 | − | 0.435223i | \(-0.143330\pi\) | |||||||
\(570\) | −2.24801 | + | 3.22368i | −0.0941589 | + | 0.135025i | ||||
\(571\) | −13.9323 | + | 26.0654i | −0.583047 | + | 1.09080i | 0.401529 | + | 0.915846i | \(0.368479\pi\) |
−0.984576 | + | 0.174958i | \(0.944021\pi\) | |||||||
\(572\) | −14.7605 | − | 5.25885i | −0.617169 | − | 0.219884i | ||||
\(573\) | −1.87051 | − | 1.37577i | −0.0781415 | − | 0.0574738i | ||||
\(574\) | −0.201063 | − | 7.97031i | −0.00839222 | − | 0.332674i | ||||
\(575\) | 27.9065i | 1.16378i | ||||||||
\(576\) | −21.5709 | + | 10.5212i | −0.898788 | + | 0.438383i | ||||
\(577\) | 1.22352i | 0.0509360i | 0.999676 | + | 0.0254680i | \(0.00810759\pi\) | ||||
−0.999676 | + | 0.0254680i | \(0.991892\pi\) | |||||||
\(578\) | −23.2075 | + | 0.585446i | −0.965306 | + | 0.0243513i | ||||
\(579\) | 6.13913 | + | 4.51538i | 0.255133 | + | 0.187653i | ||||
\(580\) | 2.52266 | − | 1.19731i | 0.104748 | − | 0.0497157i | ||||
\(581\) | −25.2924 | + | 47.3188i | −1.04931 | + | 1.96311i | ||||
\(582\) | 31.9656 | + | 22.2911i | 1.32502 | + | 0.923994i | ||||
\(583\) | −5.14711 | + | 25.8763i | −0.213172 | + | 1.07169i | ||||
\(584\) | 13.2727 | + | 7.48329i | 0.549228 | + | 0.309661i | ||||
\(585\) | 3.61474 | + | 11.5840i | 0.149451 | + | 0.478939i | ||||
\(586\) | 26.8297 | + | 13.4822i | 1.10832 | + | 0.556943i | ||||
\(587\) | −27.7645 | − | 33.8312i | −1.14596 | − | 1.39636i | −0.904778 | − | 0.425883i | \(-0.859964\pi\) |
−0.241186 | − | 0.970479i | \(-0.577536\pi\) | |||||||
\(588\) | −31.4823 | − | 46.5774i | −1.29831 | − | 1.92082i | ||||
\(589\) | −3.48855 | − | 6.52661i | −0.143743 | − | 0.268924i | ||||
\(590\) | −2.07018 | + | 11.9789i | −0.0852280 | + | 0.493164i | ||||
\(591\) | 4.99163 | + | 10.4463i | 0.205328 | + | 0.429704i | ||||
\(592\) | −17.1362 | − | 41.0555i | −0.704295 | − | 1.68737i | ||||
\(593\) | −14.7793 | − | 35.6805i | −0.606915 | − | 1.46522i | −0.866338 | − | 0.499458i | \(-0.833533\pi\) |
0.259424 | − | 0.965764i | \(-0.416467\pi\) | |||||||
\(594\) | 17.5181 | + | 7.50264i | 0.718777 | + | 0.307837i | ||||
\(595\) | −4.72142 | − | 1.43223i | −0.193559 | − | 0.0587156i | ||||
\(596\) | 0.382385 | − | 8.00493i | 0.0156631 | − | 0.327895i | ||||
\(597\) | 15.3260 | + | 16.7752i | 0.627251 | + | 0.686563i | ||||
\(598\) | 24.3002 | + | 28.1321i | 0.993708 | + | 1.15041i | ||||
\(599\) | −11.4470 | + | 17.1316i | −0.467710 | + | 0.699978i | −0.988076 | − | 0.153965i | \(-0.950796\pi\) |
0.520366 | + | 0.853943i | \(0.325796\pi\) | |||||||
\(600\) | −10.7659 | + | 11.4446i | −0.439515 | + | 0.467224i | ||||
\(601\) | 6.78206 | − | 4.53163i | 0.276646 | − | 0.184849i | −0.409505 | − | 0.912308i | \(-0.634299\pi\) |
0.686151 | + | 0.727459i | \(0.259299\pi\) | |||||||
\(602\) | 29.9787 | − | 17.0096i | 1.22184 | − | 0.693259i | ||||
\(603\) | 9.02536 | + | 21.3086i | 0.367541 | + | 0.867753i | ||||
\(604\) | 30.4028 | + | 18.1668i | 1.23707 | + | 0.739196i | ||||
\(605\) | −3.63080 | + | 4.42414i | −0.147613 | + | 0.179867i | ||||
\(606\) | 0.840864 | + | 1.65134i | 0.0341578 | + | 0.0670811i | ||||
\(607\) | 19.9817 | + | 19.9817i | 0.811033 | + | 0.811033i | 0.984789 | − | 0.173755i | \(-0.0555902\pi\) |
−0.173755 | + | 0.984789i | \(0.555590\pi\) | |||||||
\(608\) | −5.52895 | + | 3.92201i | −0.224228 | + | 0.159058i | ||||
\(609\) | 8.69271 | − | 0.461676i | 0.352246 | − | 0.0187081i | ||||
\(610\) | 17.4410 | − | 7.74522i | 0.706166 | − | 0.313595i | ||||
\(611\) | −14.4932 | + | 17.6600i | −0.586332 | + | 0.714447i | ||||
\(612\) | −3.37026 | + | 3.11222i | −0.136235 | + | 0.125804i | ||||
\(613\) | −8.50254 | + | 2.57922i | −0.343415 | + | 0.104174i | −0.457281 | − | 0.889322i | \(-0.651177\pi\) |
0.113866 | + | 0.993496i | \(0.463677\pi\) | |||||||
\(614\) | 0.706411 | + | 0.194975i | 0.0285084 | + | 0.00786855i | ||||
\(615\) | 2.68487 | + | 0.387366i | 0.108264 | + | 0.0156201i | ||||
\(616\) | −7.67568 | + | 34.5093i | −0.309262 | + | 1.39042i | ||||
\(617\) | −9.17593 | + | 13.7328i | −0.369409 | + | 0.552860i | −0.968878 | − | 0.247538i | \(-0.920378\pi\) |
0.599469 | + | 0.800398i | \(0.295378\pi\) | |||||||
\(618\) | −7.14939 | + | 6.87047i | −0.287591 | + | 0.276371i | ||||
\(619\) | 13.5543 | + | 1.33498i | 0.544793 | + | 0.0536575i | 0.366671 | − | 0.930351i | \(-0.380498\pi\) |
0.178123 | + | 0.984008i | \(0.442998\pi\) | |||||||
\(620\) | 5.59237 | + | 15.5631i | 0.224595 | + | 0.625030i | ||||
\(621\) | −27.3633 | − | 35.9904i | −1.09805 | − | 1.44425i | ||||
\(622\) | 19.1263 | − | 30.2491i | 0.766895 | − | 1.21288i | ||||
\(623\) | −1.37856 | − | 3.32813i | −0.0552308 | − | 0.133339i | ||||
\(624\) | −0.887272 | + | 20.9118i | −0.0355193 | + | 0.837141i | ||||
\(625\) | −0.506407 | + | 1.22257i | −0.0202563 | + | 0.0489030i | ||||
\(626\) | −3.87743 | − | 5.49762i | −0.154973 | − | 0.219729i | ||||
\(627\) | 5.22649 | + | 1.28712i | 0.208726 | + | 0.0514026i | ||||
\(628\) | 2.70823 | + | 2.00288i | 0.108070 | + | 0.0799236i | ||||
\(629\) | −5.39464 | − | 6.57338i | −0.215098 | − | 0.262098i | ||||
\(630\) | 24.9328 | − | 11.3103i | 0.993348 | − | 0.450611i | ||||
\(631\) | −4.87713 | − | 24.5190i | −0.194155 | − | 0.976086i | −0.947815 | − | 0.318821i | \(-0.896713\pi\) |
0.753660 | − | 0.657265i | \(-0.228287\pi\) | |||||||
\(632\) | 1.80550 | + | 3.56883i | 0.0718190 | + | 0.141961i | ||||
\(633\) | 12.5649 | − | 9.39635i | 0.499408 | − | 0.373471i | ||||
\(634\) | 4.76263 | + | 3.71160i | 0.189148 | + | 0.147407i | ||||
\(635\) | −7.51056 | + | 14.0513i | −0.298047 | + | 0.557607i | ||||
\(636\) | 35.0532 | − | 3.64113i | 1.38995 | − | 0.144380i | ||||
\(637\) | −48.7931 | + | 4.80570i | −1.93325 | + | 0.190409i | ||||
\(638\) | −2.77161 | − | 2.63522i | −0.109729 | − | 0.104329i | ||||
\(639\) | −4.40417 | − | 41.3452i | −0.174226 | − | 1.63559i | ||||
\(640\) | 13.4982 | − | 6.87485i | 0.533564 | − | 0.271752i | ||||
\(641\) | 6.41155i | 0.253241i | 0.991951 | + | 0.126620i | \(0.0404130\pi\) | ||||
−0.991951 | + | 0.126620i | \(0.959587\pi\) | |||||||
\(642\) | −1.92810 | − | 24.5798i | −0.0760959 | − | 0.970086i | ||||
\(643\) | −2.58389 | − | 26.2347i | −0.101899 | − | 1.03459i | −0.901124 | − | 0.433562i | \(-0.857256\pi\) |
0.799225 | − | 0.601032i | \(-0.205244\pi\) | |||||||
\(644\) | 56.2399 | − | 62.2204i | 2.21616 | − | 2.45183i | ||||
\(645\) | 3.99468 | + | 11.0261i | 0.157290 | + | 0.434150i | ||||
\(646\) | −0.796469 | + | 1.02201i | −0.0313367 | + | 0.0402104i | ||||
\(647\) | −3.98939 | + | 20.0560i | −0.156839 | + | 0.788484i | 0.819641 | + | 0.572877i | \(0.194173\pi\) |
−0.976480 | + | 0.215606i | \(0.930827\pi\) | |||||||
\(648\) | 2.66269 | − | 25.3162i | 0.104600 | − | 0.994514i | ||||
\(649\) | 16.3295 | − | 3.24815i | 0.640991 | − | 0.127501i | ||||
\(650\) | 4.30720 | + | 13.0085i | 0.168942 | + | 0.510234i | ||||
\(651\) | −2.32500 | + | 51.5013i | −0.0911239 | + | 2.01849i | ||||
\(652\) | 1.44443 | + | 1.06823i | 0.0565684 | + | 0.0418353i | ||||
\(653\) | −2.65254 | − | 4.96256i | −0.103802 | − | 0.194200i | 0.824659 | − | 0.565631i | \(-0.191367\pi\) |
−0.928461 | + | 0.371431i | \(0.878867\pi\) | |||||||
\(654\) | −7.04341 | − | 0.835483i | −0.275419 | − | 0.0326700i | ||||
\(655\) | 4.46347 | + | 1.84883i | 0.174402 | + | 0.0722398i | ||||
\(656\) | 4.13237 | + | 2.19442i | 0.161342 | + | 0.0856777i | ||||
\(657\) | −14.1919 | + | 7.73137i | −0.553679 | + | 0.301629i | ||||
\(658\) | 43.5656 | + | 27.5463i | 1.69836 | + | 1.07386i | ||||
\(659\) | −19.6973 | − | 5.97512i | −0.767299 | − | 0.232758i | −0.117715 | − | 0.993047i | \(-0.537557\pi\) |
−0.649584 | + | 0.760290i | \(0.725057\pi\) | |||||||
\(660\) | −11.1371 | − | 4.54376i | −0.433510 | − | 0.176866i | ||||
\(661\) | −0.841514 | + | 8.54404i | −0.0327311 | + | 0.332325i | 0.964849 | + | 0.262804i | \(0.0846471\pi\) |
−0.997580 | + | 0.0695210i | \(0.977853\pi\) | |||||||
\(662\) | −12.7568 | − | 0.932312i | −0.495809 | − | 0.0362353i | ||||
\(663\) | 0.987512 | + | 3.87695i | 0.0383518 | + | 0.150568i | ||||
\(664\) | −16.8996 | − | 26.5677i | −0.655830 | − | 1.03103i | ||||
\(665\) | 6.42969 | − | 4.29618i | 0.249333 | − | 0.166599i | ||||
\(666\) | 46.5600 | + | 7.66589i | 1.80416 | + | 0.297047i | ||||
\(667\) | 2.63378 | + | 8.68240i | 0.101980 | + | 0.336184i | ||||
\(668\) | −15.7108 | − | 21.1237i | −0.607871 | − | 0.817302i | ||||
\(669\) | 36.6246 | − | 5.58156i | 1.41599 | − | 0.215796i | ||||
\(670\) | −5.92801 | − | 13.3490i | −0.229019 | − | 0.515716i | ||||
\(671\) | −18.4814 | − | 18.4814i | −0.713465 | − | 0.713465i | ||||
\(672\) | 47.0680 | − | 3.82049i | 1.81569 | − | 0.147379i | ||||
\(673\) | −24.7280 | + | 24.7280i | −0.953195 | + | 0.953195i | −0.998953 | − | 0.0457578i | \(-0.985430\pi\) |
0.0457578 | + | 0.998953i | \(0.485430\pi\) | |||||||
\(674\) | −22.6494 | − | 8.71920i | −0.872421 | − | 0.335851i | ||||
\(675\) | −4.24184 | − | 16.1168i | −0.163268 | − | 0.620335i | ||||
\(676\) | −6.64959 | − | 3.97337i | −0.255753 | − | 0.152822i | ||||
\(677\) | 41.5301 | − | 12.5980i | 1.59613 | − | 0.484181i | 0.637885 | − | 0.770131i | \(-0.279809\pi\) |
0.958244 | + | 0.285951i | \(0.0923094\pi\) | |||||||
\(678\) | 14.4408 | + | 3.17231i | 0.554595 | + | 0.121832i | ||||
\(679\) | −42.6005 | − | 63.7561i | −1.63486 | − | 2.44674i | ||||
\(680\) | 2.09296 | − | 2.00079i | 0.0802615 | − | 0.0767269i | ||||
\(681\) | 2.38056 | + | 9.34599i | 0.0912231 | + | 0.358139i | ||||
\(682\) | 17.1404 | − | 14.8057i | 0.656340 | − | 0.566939i | ||||
\(683\) | 40.5800 | + | 3.99678i | 1.55275 | + | 0.152932i | 0.837696 | − | 0.546137i | \(-0.183902\pi\) |
0.715054 | + | 0.699069i | \(0.246402\pi\) | |||||||
\(684\) | −0.419578 | − | 7.17769i | −0.0160430 | − | 0.274446i | ||||
\(685\) | −4.96644 | + | 16.3722i | −0.189758 | + | 0.625548i | ||||
\(686\) | 13.8243 | + | 61.3678i | 0.527813 | + | 2.34303i | ||||
\(687\) | 4.47379 | − | 12.6618i | 0.170686 | − | 0.483077i | ||||
\(688\) | 0.0548169 | + | 20.2276i | 0.00208987 | + | 0.771171i | ||||
\(689\) | 11.7616 | − | 28.3951i | 0.448083 | − | 1.08177i | ||||
\(690\) | 17.6607 | + | 22.4144i | 0.672332 | + | 0.853301i | ||||
\(691\) | 41.4030 | − | 22.1304i | 1.57504 | − | 0.841878i | 0.575331 | − | 0.817921i | \(-0.304873\pi\) |
0.999713 | − | 0.0239574i | \(-0.00762662\pi\) | |||||||
\(692\) | −0.244540 | + | 0.981901i | −0.00929601 | + | 0.0373263i | ||||
\(693\) | −26.7243 | − | 26.3029i | −1.01517 | − | 0.999165i | ||||
\(694\) | 20.2814 | − | 40.3604i | 0.769873 | − | 1.53206i | ||||
\(695\) | −1.24456 | − | 6.25683i | −0.0472089 | − | 0.237335i | ||||
\(696\) | −2.26940 | + | 4.57677i | −0.0860216 | + | 0.173482i | ||||
\(697\) | 0.877152 | + | 0.174476i | 0.0332245 | + | 0.00660876i | ||||
\(698\) | −2.76711 | − | 22.3107i | −0.104736 | − | 0.844471i | ||||
\(699\) | 1.18491 | + | 3.27059i | 0.0448176 | + | 0.123705i | ||||
\(700\) | 27.9300 | − | 13.2562i | 1.05565 | − | 0.501038i | ||||
\(701\) | −37.3873 | + | 3.68232i | −1.41210 | + | 0.139079i | −0.775125 | − | 0.631808i | \(-0.782313\pi\) |
−0.636972 | + | 0.770887i | \(0.719813\pi\) | |||||||
\(702\) | −18.3102 | − | 12.5534i | −0.691073 | − | 0.473798i | ||||
\(703\) | 13.3278 | 0.502669 | ||||||||
\(704\) | −15.4289 | − | 13.8701i | −0.581497 | − | 0.522748i | ||||
\(705\) | −11.7255 | + | 13.0409i | −0.441608 | + | 0.491147i | ||||
\(706\) | 31.5690 | − | 0.796377i | 1.18812 | − | 0.0299721i | ||||
\(707\) | −0.357389 | − | 3.62863i | −0.0134410 | − | 0.136469i | ||||
\(708\) | −10.5881 | − | 19.5576i | −0.397926 | − | 0.735019i | ||||
\(709\) | 22.1472 | + | 11.8379i | 0.831755 | + | 0.444582i | 0.831571 | − | 0.555418i | \(-0.187442\pi\) |
0.000183290 | 1.00000i | \(0.499942\pi\) | ||||||||
\(710\) | 3.23013 | + | 26.0440i | 0.121225 | + | 0.977413i | ||||
\(711\) | −4.22491 | − | 0.382242i | −0.158446 | − | 0.0143352i | ||||
\(712\) | 2.09867 | + | 0.254517i | 0.0786509 | + | 0.00953842i | ||||
\(713\) | −52.7014 | + | 10.4830i | −1.97368 | + | 0.392590i | ||||
\(714\) | 8.40628 | − | 3.28766i | 0.314597 | − | 0.123037i | ||||
\(715\) | −8.10887 | + | 6.65478i | −0.303255 | + | 0.248875i | ||||
\(716\) | 9.58779 | − | 5.76437i | 0.358313 | − | 0.215425i | ||||
\(717\) | −9.66594 | − | 2.38041i | −0.360981 | − | 0.0888982i | ||||
\(718\) | 4.60992 | − | 26.6749i | 0.172041 | − | 0.995498i | ||||
\(719\) | 40.0119 | + | 16.5735i | 1.49219 | + | 0.618086i | 0.971792 | − | 0.235838i | \(-0.0757835\pi\) |
0.520398 | + | 0.853924i | \(0.325783\pi\) | |||||||
\(720\) | −1.40435 | + | 16.0055i | −0.0523371 | + | 0.596490i | ||||
\(721\) | 18.0248 | − | 7.46611i | 0.671278 | − | 0.278053i | ||||
\(722\) | 5.45873 | + | 24.2320i | 0.203153 | + | 0.901823i | ||||
\(723\) | −17.6981 | − | 29.2631i | −0.658198 | − | 1.08831i | ||||
\(724\) | −13.8901 | + | 12.6235i | −0.516220 | + | 0.469150i | ||||
\(725\) | −0.327818 | + | 3.32839i | −0.0121748 | + | 0.123613i | ||||
\(726\) | 0.208272 | − | 10.4684i | 0.00772969 | − | 0.388519i | ||||
\(727\) | 19.3441 | + | 12.9253i | 0.717433 | + | 0.479373i | 0.859924 | − | 0.510423i | \(-0.170511\pi\) |
−0.142491 | + | 0.989796i | \(0.545511\pi\) | |||||||
\(728\) | 16.6126 | − | 37.6841i | 0.615705 | − | 1.39666i | ||||
\(729\) | 21.2737 | + | 16.6262i | 0.787914 | + | 0.615785i | ||||
\(730\) | 8.87190 | − | 5.03381i | 0.328364 | − | 0.186310i | ||||
\(731\) | 1.12235 | + | 3.69990i | 0.0415117 | + | 0.136846i | ||||
\(732\) | −16.2933 | + | 30.8772i | −0.602216 | + | 1.14125i | ||||
\(733\) | 1.33342 | + | 1.09431i | 0.0492509 | + | 0.0404192i | 0.658697 | − | 0.752409i | \(-0.271108\pi\) |
−0.609446 | + | 0.792828i | \(0.708608\pi\) | |||||||
\(734\) | −9.24103 | − | 3.55747i | −0.341093 | − | 0.131309i | ||||
\(735\) | −37.5834 | + | 1.99608i | −1.38629 | + | 0.0736267i | ||||
\(736\) | 15.5976 | + | 46.6830i | 0.574934 | + | 1.72076i | ||||
\(737\) | −14.1452 | + | 14.1452i | −0.521046 | + | 0.521046i | ||||
\(738\) | −4.29673 | + | 2.48326i | −0.158165 | + | 0.0914100i | ||||
\(739\) | −34.0975 | − | 27.9831i | −1.25430 | − | 1.02938i | −0.998028 | − | 0.0627705i | \(-0.980006\pi\) |
−0.256270 | − | 0.966605i | \(-0.582494\pi\) | |||||||
\(740\) | −29.4665 | − | 4.33015i | −1.08321 | − | 0.159180i | ||||
\(741\) | −5.67899 | − | 2.65840i | −0.208623 | − | 0.0976588i | ||||
\(742\) | −66.8430 | − | 18.4492i | −2.45388 | − | 0.677291i | ||||
\(743\) | 8.33613 | + | 12.4759i | 0.305823 | + | 0.457696i | 0.952268 | − | 0.305265i | \(-0.0987449\pi\) |
−0.646445 | + | 0.762961i | \(0.723745\pi\) | |||||||
\(744\) | −25.6573 | − | 16.0322i | −0.940643 | − | 0.587771i | ||||
\(745\) | −4.46090 | − | 2.98068i | −0.163435 | − | 0.109204i | ||||
\(746\) | 44.6011 | + | 3.25959i | 1.63296 | + | 0.119342i | ||||
\(747\) | 33.3961 | − | 0.265405i | 1.22190 | − | 0.00971068i | ||||
\(748\) | −3.58716 | − | 1.69065i | −0.131159 | − | 0.0618164i | ||||
\(749\) | −14.0823 | + | 46.4232i | −0.514557 | + | 1.69627i | ||||
\(750\) | 7.29973 | + | 25.9085i | 0.266549 | + | 0.946043i | ||||
\(751\) | −43.3208 | + | 17.9441i | −1.58080 | + | 0.654789i | −0.988540 | − | 0.150959i | \(-0.951764\pi\) |
−0.592259 | + | 0.805747i | \(0.701764\pi\) | |||||||
\(752\) | −26.6381 | + | 14.3313i | −0.971392 | + | 0.522609i | ||||
\(753\) | −14.4465 | − | 30.2332i | −0.526461 | − | 1.10176i | ||||
\(754\) | 2.56780 | + | 3.64075i | 0.0935138 | + | 0.132588i | ||||
\(755\) | 20.9105 | − | 11.1769i | 0.761011 | − | 0.406769i | ||||
\(756\) | −23.0225 | + | 44.4826i | −0.837321 | + | 1.61782i | ||||
\(757\) | −29.9765 | + | 24.6011i | −1.08952 | + | 0.894142i | −0.994849 | − | 0.101367i | \(-0.967678\pi\) |
−0.0946660 | + | 0.995509i | \(0.530178\pi\) | |||||||
\(758\) | −12.6666 | − | 38.2553i | −0.460071 | − | 1.38949i | ||||
\(759\) | 19.9592 | − | 33.6020i | 0.724474 | − | 1.21968i | ||||
\(760\) | 0.343040 | + | 4.52510i | 0.0124434 | + | 0.164143i | ||||
\(761\) | −11.6375 | − | 2.31484i | −0.421859 | − | 0.0839131i | −0.0204044 | − | 0.999792i | \(-0.506495\pi\) |
−0.401455 | + | 0.915879i | \(0.631495\pi\) | |||||||
\(762\) | −5.11670 | − | 28.6953i | −0.185359 | − | 1.03952i | ||||
\(763\) | 12.3080 | + | 6.57876i | 0.445579 | + | 0.238167i | ||||
\(764\) | −2.67777 | + | 0.135188i | −0.0968783 | + | 0.00489092i | ||||
\(765\) | 0.623059 | + | 3.00723i | 0.0225267 | + | 0.108727i | ||||
\(766\) | 7.36709 | + | 7.00455i | 0.266184 | + | 0.253085i | ||||
\(767\) | −19.3955 | −0.700330 | ||||||||
\(768\) | −11.6129 | + | 25.1623i | −0.419045 | + | 0.907966i | ||||
\(769\) | 15.8680 | 0.572214 | 0.286107 | − | 0.958198i | \(-0.407639\pi\) | ||||
0.286107 | + | 0.958198i | \(0.407639\pi\) | |||||||
\(770\) | 17.1519 | + | 16.3078i | 0.618111 | + | 0.587693i | ||||
\(771\) | −3.88219 | − | 2.85539i | −0.139814 | − | 0.102834i | ||||
\(772\) | 8.78862 | − | 0.443695i | 0.316309 | − | 0.0159689i | ||||
\(773\) | 18.9977 | + | 10.1545i | 0.683301 | + | 0.365232i | 0.776238 | − | 0.630440i | \(-0.217126\pi\) |
−0.0929372 | + | 0.995672i | \(0.529626\pi\) | |||||||
\(774\) | −18.2244 | − | 11.3215i | −0.655063 | − | 0.406942i | ||||
\(775\) | −19.4266 | − | 3.86420i | −0.697825 | − | 0.138806i | ||||
\(776\) | 44.8704 | − | 3.40155i | 1.61075 | − | 0.122109i | ||||
\(777\) | −79.8254 | − | 47.4154i | −2.86372 | − | 1.70102i | ||||
\(778\) | −6.75126 | − | 20.3900i | −0.242044 | − | 0.731015i | ||||
\(779\) | −1.08353 | + | 0.889233i | −0.0388216 | + | 0.0318601i | ||||
\(780\) | 11.6920 | + | 7.72254i | 0.418641 | + | 0.276511i | ||||
\(781\) | 31.6989 | − | 16.9434i | 1.13428 | − | 0.606283i | ||||
\(782\) | 5.42242 | + | 7.68818i | 0.193906 | + | 0.274929i | ||||
\(783\) | −2.84082 | − | 4.61399i | −0.101523 | − | 0.164891i | ||||
\(784\) | −62.1719 | − | 18.6758i | −2.22042 | − | 0.666993i | ||||
\(785\) | 2.08334 | − | 0.862950i | 0.0743578 | − | 0.0308000i | ||||
\(786\) | −8.50730 | + | 2.39694i | −0.303445 | + | 0.0854960i | ||||
\(787\) | 9.17308 | − | 30.2396i | 0.326985 | − | 1.07792i | −0.627238 | − | 0.778828i | \(-0.715815\pi\) |
0.954223 | − | 0.299097i | \(-0.0966854\pi\) | |||||||
\(788\) | 12.0929 | + | 5.69948i | 0.430792 | + | 0.203036i | ||||
\(789\) | −37.1457 | − | 40.6581i | −1.32242 | − | 1.44747i | ||||
\(790\) | 2.67041 | + | 0.195162i | 0.0950089 | + | 0.00694356i | ||||
\(791\) | −24.1886 | − | 16.1623i | −0.860049 | − | 0.574666i | ||||
\(792\) | 21.1485 | − | 6.08044i | 0.751481 | − | 0.216059i | ||||
\(793\) | 16.9156 | + | 25.3160i | 0.600691 | + | 0.898998i | ||||
\(794\) | 27.1104 | + | 7.48270i | 0.962113 | + | 0.265551i | ||||
\(795\) | 10.0024 | − | 21.3676i | 0.354750 | − | 0.757832i | ||||
\(796\) | 25.9584 | + | 3.81463i | 0.920072 | + | 0.135206i | ||||
\(797\) | −3.84579 | − | 3.15616i | −0.136225 | − | 0.111797i | 0.563813 | − | 0.825902i | \(-0.309334\pi\) |
−0.700038 | + | 0.714105i | \(0.746834\pi\) | |||||||
\(798\) | −4.37515 | + | 13.4535i | −0.154879 | + | 0.476249i | ||||
\(799\) | −4.08835 | + | 4.08835i | −0.144635 | + | 0.144635i | ||||
\(800\) | −1.27340 | + | 18.0985i | −0.0450214 | + | 0.639879i | ||||
\(801\) | −1.40867 | + | 1.74456i | −0.0497729 | + | 0.0616410i | ||||
\(802\) | −20.2342 | − | 7.78944i | −0.714494 | − | 0.275055i | ||||
\(803\) | −10.7994 | − | 8.86282i | −0.381102 | − | 0.312762i | ||||
\(804\) | 23.6327 | + | 12.4705i | 0.833461 | + | 0.439800i | ||||
\(805\) | −16.2989 | − | 53.7303i | −0.574461 | − | 1.89374i | ||||
\(806\) | −22.9485 | + | 13.0207i | −0.808328 | + | 0.458636i | ||||
\(807\) | 48.7304 | + | 7.03069i | 1.71539 | + | 0.247492i | ||||
\(808\) | 1.95796 | + | 0.863147i | 0.0688808 | + | 0.0303654i | ||||
\(809\) | 4.65924 | + | 3.11321i | 0.163810 | + | 0.109455i | 0.634773 | − | 0.772698i | \(-0.281093\pi\) |
−0.470963 | + | 0.882153i | \(0.656093\pi\) | |||||||
\(810\) | −13.6066 | − | 10.2605i | −0.478087 | − | 0.360517i | ||||
\(811\) | 1.82404 | − | 18.5198i | 0.0640509 | − | 0.650319i | −0.908540 | − | 0.417797i | \(-0.862802\pi\) |
0.972591 | − | 0.232522i | \(-0.0746978\pi\) | |||||||
\(812\) | 7.43861 | − | 6.76034i | 0.261044 | − | 0.237241i | ||||
\(813\) | −40.2691 | + | 24.3544i | −1.41230 | + | 0.854147i | ||||
\(814\) | 8.96425 | + | 39.7935i | 0.314197 | + | 1.39476i | ||||
\(815\) | 1.11115 | − | 0.460253i | 0.0389219 | − | 0.0161220i | ||||
\(816\) | −0.742210 | + | 5.24486i | −0.0259826 | + | 0.183607i | ||||
\(817\) | −5.59856 | − | 2.31900i | −0.195869 | − | 0.0811315i | ||||
\(818\) | −3.38963 | + | 19.6138i | −0.118516 | + | 0.685781i | ||||
\(819\) | 24.5560 | + | 36.1259i | 0.858057 | + | 1.26234i | ||||
\(820\) | 2.68449 | − | 1.61397i | 0.0937466 | − | 0.0563624i | ||||
\(821\) | 5.06687 | − | 4.15827i | 0.176835 | − | 0.145125i | −0.541812 | − | 0.840500i | \(-0.682262\pi\) |
0.718647 | + | 0.695375i | \(0.244762\pi\) | |||||||
\(822\) | −11.4004 | − | 29.1499i | −0.397634 | − | 1.01672i | ||||
\(823\) | 38.6144 | − | 7.68089i | 1.34601 | − | 0.267739i | 0.531094 | − | 0.847313i | \(-0.321781\pi\) |
0.814920 | + | 0.579574i | \(0.196781\pi\) | |||||||
\(824\) | −1.37843 | + | 11.3662i | −0.0480200 | + | 0.395959i | ||||
\(825\) | 11.5373 | − | 8.62791i | 0.401677 | − | 0.300385i | ||||
\(826\) | 5.38603 | + | 43.4266i | 0.187404 | + | 1.51100i | ||||
\(827\) | 2.65926 | + | 1.42141i | 0.0924716 | + | 0.0494271i | 0.516984 | − | 0.855995i | \(-0.327055\pi\) |
−0.424513 | + | 0.905422i | \(0.639555\pi\) | |||||||
\(828\) | −50.7567 | − | 12.2133i | −1.76392 | − | 0.424441i | ||||
\(829\) | 3.24492 | + | 32.9463i | 0.112701 | + | 1.14427i | 0.870632 | + | 0.491936i | \(0.163710\pi\) |
−0.757931 | + | 0.652335i | \(0.773790\pi\) | |||||||
\(830\) | −21.0726 | + | 0.531589i | −0.731440 | + | 0.0184517i | ||||
\(831\) | 2.57520 | + | 2.31545i | 0.0893326 | + | 0.0803221i | ||||
\(832\) | 14.4760 | + | 19.3537i | 0.501865 | + | 0.670968i | ||||
\(833\) | −12.4083 | −0.429922 | ||||||||
\(834\) | 8.87264 | + | 7.58190i | 0.307234 | + | 0.262540i | ||||
\(835\) | −17.5391 | + | 1.72745i | −0.606965 | + | 0.0597809i | ||||
\(836\) | 5.61500 | − | 2.66501i | 0.194199 | − | 0.0921714i | ||||
\(837\) | 28.8431 | − | 14.0649i | 0.996964 | − | 0.486155i | ||||
\(838\) | −4.52245 | − | 36.4637i | −0.156225 | − | 1.25962i | ||||
\(839\) | 30.0208 | + | 5.97151i | 1.03643 | + | 0.206159i | 0.683851 | − | 0.729622i | \(-0.260304\pi\) |
0.352582 | + | 0.935781i | \(0.385304\pi\) | |||||||
\(840\) | 14.0440 | − | 28.3230i | 0.484565 | − | 0.977235i | ||||
\(841\) | −5.44548 | − | 27.3763i | −0.187775 | − | 0.944010i | ||||
\(842\) | 4.31439 | − | 8.58570i | 0.148684 | − | 0.295883i | ||||
\(843\) | 0.752108 | − | 16.6600i | 0.0259040 | − | 0.573802i | ||||
\(844\) | 4.37823 | − | 17.5799i | 0.150705 | − | 0.605126i | ||||
\(845\) | −4.57347 | + | 2.44457i | −0.157332 | + | 0.0840958i | ||||
\(846\) | 2.08416 | − | 32.0157i | 0.0716551 | − | 1.10072i | ||||
\(847\) | −7.88399 | + | 19.0336i | −0.270897 | + | 0.654003i | ||||
\(848\) | 28.6967 | − | 28.8527i | 0.985449 | − | 0.990805i | ||||
\(849\) | −12.6333 | − | 4.46371i | −0.433572 | − | 0.153194i | ||||
\(850\) | 0.762125 | + | 3.38318i | 0.0261407 | + | 0.116042i | ||||
\(851\) | 28.0914 | − | 92.6050i | 0.962962 | − | 3.17446i | ||||
\(852\) | −34.1296 | − | 33.7678i | −1.16926 | − | 1.15687i | ||||
\(853\) | −41.1581 | − | 4.05372i | −1.40923 | − | 0.138797i | −0.635394 | − | 0.772188i | \(-0.719162\pi\) |
−0.773832 | + | 0.633391i | \(0.781662\pi\) | |||||||
\(854\) | 51.9853 | − | 44.9043i | 1.77890 | − | 1.53659i | ||||
\(855\) | −4.26291 | − | 2.23520i | −0.145788 | − | 0.0764422i | ||||
\(856\) | −19.6727 | − | 20.5790i | −0.672399 | − | 0.703375i | ||||
\(857\) | 26.8172 | + | 40.1348i | 0.916058 | + | 1.37098i | 0.928610 | + | 0.371057i | \(0.121004\pi\) |
−0.0125520 | + | 0.999921i | \(0.503996\pi\) | |||||||
\(858\) | 4.11763 | − | 18.7440i | 0.140574 | − | 0.639911i | ||||
\(859\) | 9.78179 | − | 2.96727i | 0.333750 | − | 0.101242i | −0.118962 | − | 0.992899i | \(-0.537957\pi\) |
0.452712 | + | 0.891657i | \(0.350457\pi\) | |||||||
\(860\) | 11.6244 | + | 6.94603i | 0.396390 | + | 0.236858i | ||||
\(861\) | 9.65325 | − | 1.47115i | 0.328982 | − | 0.0501366i | ||||
\(862\) | 35.1320 | + | 13.5246i | 1.19660 | + | 0.460649i | ||||
\(863\) | −1.63366 | + | 1.63366i | −0.0556105 | + | 0.0556105i | −0.734365 | − | 0.678755i | \(-0.762520\pi\) |
0.678755 | + | 0.734365i | \(0.262520\pi\) | |||||||
\(864\) | −16.1039 | − | 24.5899i | −0.547867 | − | 0.836565i | ||||
\(865\) | 0.479009 | + | 0.479009i | 0.0162868 | + | 0.0162868i | ||||
\(866\) | 4.55721 | + | 10.2621i | 0.154860 | + | 0.348722i | ||||
\(867\) | −4.28361 | − | 28.1078i | −0.145479 | − | 0.954592i | ||||
\(868\) | 35.5262 | + | 47.7661i | 1.20584 | + | 1.62129i | ||||
\(869\) | −1.06451 | − | 3.50923i | −0.0361111 | − | 0.119042i | ||||
\(870\) | 1.84308 | + | 2.88081i | 0.0624863 | + | 0.0976687i | ||||
\(871\) | 19.3763 | − | 12.9468i | 0.656541 | − | 0.438687i | ||||
\(872\) | −6.91047 | + | 4.39571i | −0.234018 | + | 0.148858i | ||||
\(873\) | −22.1640 | + | 42.2705i | −0.750137 | + | 1.43064i | ||||
\(874\) | −14.7061 | − | 1.07477i | −0.497441 | − | 0.0363546i | ||||
\(875\) | 5.19125 | − | 52.7076i | 0.175496 | − | 1.78184i | ||||
\(876\) | −7.04942 | + | 17.2787i | −0.238178 | + | 0.583791i | ||||
\(877\) | 9.55396 | + | 2.89816i | 0.322614 | + | 0.0978639i | 0.447438 | − | 0.894315i | \(-0.352337\pi\) |
−0.124824 | + | 0.992179i | \(0.539837\pi\) | |||||||
\(878\) | −2.84912 | − | 1.80148i | −0.0961531 | − | 0.0607970i | ||||
\(879\) | −12.2514 | + | 34.6742i | −0.413231 | + | 1.16953i | ||||
\(880\) | −13.2801 | + | 4.06780i | −0.447671 | + | 0.137125i | ||||
\(881\) | 28.3173 | + | 11.7294i | 0.954035 | + | 0.395174i | 0.804746 | − | 0.593619i | \(-0.202301\pi\) |
0.149289 | + | 0.988794i | \(0.452301\pi\) | |||||||
\(882\) | 51.7472 | − | 45.4216i | 1.74242 | − | 1.52943i | ||||
\(883\) | −10.2258 | − | 19.1312i | −0.344127 | − | 0.643817i | 0.649009 | − | 0.760781i | \(-0.275184\pi\) |
−0.993136 | + | 0.116964i | \(0.962684\pi\) | |||||||
\(884\) | 3.71426 | + | 2.74689i | 0.124924 | + | 0.0923880i | ||||
\(885\) | −14.8734 | − | 0.671454i | −0.499965 | − | 0.0225707i | ||||
\(886\) | 13.5906 | + | 41.0459i | 0.456585 | + | 1.37896i | ||||
\(887\) | 33.1372 | − | 6.59139i | 1.11264 | − | 0.221317i | 0.395648 | − | 0.918402i | \(-0.370520\pi\) |
0.716989 | + | 0.697085i | \(0.245520\pi\) | |||||||
\(888\) | 47.2460 | − | 27.1407i | 1.58547 | − | 0.910781i | ||||
\(889\) | −11.1888 | + | 56.2499i | −0.375260 | + | 1.88656i | ||||
\(890\) | 0.869960 | − | 1.11631i | 0.0291611 | − | 0.0374188i | ||||
\(891\) | −6.41944 | + | 22.4400i | −0.215059 | + | 0.751767i | ||||
\(892\) | 28.6854 | − | 31.7358i | 0.960460 | − | 1.06259i | ||||
\(893\) | −0.888221 | − | 9.01826i | −0.0297232 | − | 0.301785i | ||||
\(894\) | 9.78512 | − | 0.767568i | 0.327263 | − | 0.0256713i | ||||
\(895\) | − | 7.48937i | − | 0.250342i | ||||||
\(896\) | 39.3131 | − | 37.7863i | 1.31336 | − | 1.26235i | ||||
\(897\) | −30.4410 | + | 33.8558i | −1.01639 | + | 1.13041i | ||||
\(898\) | −6.21797 | − | 5.91197i | −0.207496 | − | 0.197285i | ||||
\(899\) | −6.40881 | + | 0.631213i | −0.213746 | + | 0.0210521i | ||||
\(900\) | −15.5627 | − | 11.3193i | −0.518758 | − | 0.377308i | ||||
\(901\) | 3.66667 | − | 6.85987i | 0.122155 | − | 0.228535i | ||||
\(902\) | −3.38380 | − | 2.63706i | −0.112668 | − | 0.0878044i | ||||
\(903\) | 25.2818 | + | 33.8069i | 0.841325 | + | 1.12502i | ||||
\(904\) | 15.2338 | − | 7.70692i | 0.506670 | − | 0.256328i | ||||
\(905\) | 2.45137 | + | 12.3238i | 0.0814861 | + | 0.409659i | ||||
\(906\) | −17.3934 | + | 39.7368i | −0.577858 | + | 1.32017i | ||||
\(907\) | −7.33579 | − | 8.93869i | −0.243581 | − | 0.296804i | 0.636841 | − | 0.770995i | \(-0.280241\pi\) |
−0.880422 | + | 0.474191i | \(0.842741\pi\) | |||||||
\(908\) | 8.95382 | + | 6.62182i | 0.297143 | + | 0.219753i | ||||
\(909\) | −1.87700 | + | 1.27586i | −0.0622562 | + | 0.0423177i | ||||
\(910\) | −15.8906 | − | 22.5305i | −0.526769 | − | 0.746879i | ||||
\(911\) | 6.89720 | − | 16.6513i | 0.228515 | − | 0.551683i | −0.767482 | − | 0.641070i | \(-0.778491\pi\) |
0.995997 | + | 0.0893871i | \(0.0284908\pi\) | |||||||
\(912\) | −5.61643 | − | 6.11415i | −0.185979 | − | 0.202460i | ||||
\(913\) | 11.0481 | + | 26.6725i | 0.365639 | + | 0.882731i | ||||
\(914\) | −19.5883 | + | 30.9797i | −0.647923 | + | 1.02472i | ||||
\(915\) | 12.0953 | + | 19.9992i | 0.399860 | + | 0.661154i | ||||
\(916\) | −5.24372 | − | 14.5928i | −0.173257 | − | 0.482161i | ||||
\(917\) | 17.3071 | + | 1.70460i | 0.571530 | + | 0.0562908i | ||||
\(918\) | −4.30022 | − | 3.61592i | −0.141928 | − | 0.119343i | ||||
\(919\) | 0.481413 | − | 0.720485i | 0.0158803 | − | 0.0237666i | −0.823445 | − | 0.567397i | \(-0.807951\pi\) |
0.839325 | + | 0.543630i | \(0.182951\pi\) | |||||||
\(920\) | 32.1646 | + | 7.15416i | 1.06043 | + | 0.235866i | ||||
\(921\) | −0.128165 | + | 0.888325i | −0.00422319 | + | 0.0292713i | ||||
\(922\) | −50.7335 | − | 14.0028i | −1.67082 | − | 0.461159i | ||||
\(923\) | −40.0682 | + | 12.1545i | −1.31886 | + | 0.400072i | ||||
\(924\) | −43.1115 | − | 4.01428i | −1.41826 | − | 0.132060i | ||||
\(925\) | 22.6299 | − | 27.5747i | 0.744068 | − | 0.906650i | ||||
\(926\) | 32.3783 | − | 14.3786i | 1.06402 | − | 0.472509i | ||||
\(927\) | −9.44833 | − | 7.62920i | −0.310324 | − | 0.250576i | ||||
\(928\) | 1.31193 | + | 5.75108i | 0.0430661 | + | 0.188788i | ||||
\(929\) | 33.7412 | + | 33.7412i | 1.10701 | + | 1.10701i | 0.993541 | + | 0.113472i | \(0.0361971\pi\) |
0.113472 | + | 0.993541i | \(0.463803\pi\) | |||||||
\(930\) | −18.0489 | + | 9.19051i | −0.591846 | + | 0.301369i | ||||
\(931\) | 12.3375 | − | 15.0333i | 0.404345 | − | 0.492696i | ||||
\(932\) | 3.44808 | + | 2.06036i | 0.112946 | + | 0.0674892i | ||||
\(933\) | 39.6977 | + | 18.5830i | 1.29964 | + | 0.608379i | ||||
\(934\) | −43.8748 | + | 24.8940i | −1.43563 | + | 0.814558i | ||||
\(935\) | −2.20739 | + | 1.47493i | −0.0721894 | + | 0.0482354i | ||||
\(936\) | −25.5451 | + | 2.14083i | −0.834967 | + | 0.0699752i | ||||
\(937\) | −1.17446 | + | 1.75770i | −0.0383678 | + | 0.0574215i | −0.850158 | − | 0.526528i | \(-0.823493\pi\) |
0.811790 | + | 0.583950i | \(0.198493\pi\) | |||||||
\(938\) | −34.3688 | − | 39.7884i | −1.12218 | − | 1.29914i | ||||
\(939\) | 6.08295 | − | 5.55745i | 0.198509 | − | 0.181360i | ||||
\(940\) | −0.966221 | + | 20.2271i | −0.0315146 | + | 0.659735i | ||||
\(941\) | −31.3585 | − | 9.51250i | −1.02226 | − | 0.310099i | −0.265721 | − | 0.964050i | \(-0.585610\pi\) |
−0.756537 | + | 0.653951i | \(0.773110\pi\) | |||||||
\(942\) | −2.01669 | + | 3.59889i | −0.0657074 | + | 0.117258i | ||||
\(943\) | 3.89482 | + | 9.40292i | 0.126833 | + | 0.306201i | ||||
\(944\) | −23.7520 | − | 9.76308i | −0.773062 | − | 0.317761i | ||||
\(945\) | 17.5802 | + | 28.5533i | 0.571883 | + | 0.928838i | ||||
\(946\) | 3.15837 | − | 18.2756i | 0.102687 | − | 0.594191i | ||||
\(947\) | 4.13305 | + | 7.73239i | 0.134306 | + | 0.251269i | 0.940080 | − | 0.340955i | \(-0.110750\pi\) |
−0.805774 | + | 0.592223i | \(0.798250\pi\) | |||||||
\(948\) | −4.05834 | + | 2.74309i | −0.131809 | + | 0.0890913i | ||||
\(949\) | 10.3246 | + | 12.5805i | 0.335150 | + | 0.408381i | ||||
\(950\) | −4.85666 | − | 2.44052i | −0.157571 | − | 0.0791808i | ||||
\(951\) | −3.77662 | + | 6.35807i | −0.122465 | + | 0.206175i | ||||
\(952\) | 5.11888 | − | 9.07906i | 0.165904 | − | 0.294254i | ||||
\(953\) | 3.24609 | − | 16.3192i | 0.105151 | − | 0.528630i | −0.891923 | − | 0.452187i | \(-0.850644\pi\) |
0.997074 | − | 0.0764426i | \(-0.0243562\pi\) | |||||||
\(954\) | 9.81974 | + | 42.0303i | 0.317926 | + | 1.36078i | ||||
\(955\) | −0.846128 | + | 1.58299i | −0.0273801 | + | 0.0512245i | ||||
\(956\) | −10.3845 | + | 4.92871i | −0.335857 | + | 0.159406i | ||||
\(957\) | 2.77525 | − | 3.77323i | 0.0897111 | − | 0.121971i | ||||
\(958\) | 31.8749 | − | 0.804092i | 1.02983 | − | 0.0259790i | ||||
\(959\) | 61.5863i | 1.98872i | ||||||||
\(960\) | 10.4309 | + | 15.3425i | 0.336657 | + | 0.495179i | ||||
\(961\) | − | 7.13881i | − | 0.230284i | ||||||
\(962\) | −1.19834 | − | 47.5032i | −0.0386361 | − | 1.53156i | ||||
\(963\) | 29.5685 | − | 6.12620i | 0.952830 | − | 0.197414i | ||||
\(964\) | −37.1989 | − | 13.2531i | −1.19809 | − | 0.426855i | ||||
\(965\) | 2.77705 | − | 5.19549i | 0.0893964 | − | 0.167249i | ||||
\(966\) | 84.2567 | + | 58.7560i | 2.71092 | + | 1.89044i | ||||
\(967\) | 3.03798 | − | 15.2730i | 0.0976950 | − | 0.491146i | −0.900696 | − | 0.434449i | \(-0.856943\pi\) |
0.998391 | − | 0.0566969i | \(-0.0180569\pi\) | |||||||
\(968\) | −7.45766 | − | 9.51617i | −0.239698 | − | 0.305861i | ||||
\(969\) | −1.36437 | − | 0.810422i | −0.0438300 | − | 0.0260345i | ||||
\(970\) | 13.5263 | − | 26.9176i | 0.434304 | − | 0.864272i | ||||
\(971\) | −31.3987 | − | 38.2594i | −1.00763 | − | 1.22780i | −0.973571 | − | 0.228383i | \(-0.926656\pi\) |
−0.0340599 | − | 0.999420i | \(-0.510844\pi\) | |||||||
\(972\) | 31.1699 | − | 0.661606i | 0.999775 | − | 0.0212210i | ||||
\(973\) | −10.8250 | − | 20.2522i | −0.347035 | − | 0.649257i | ||||
\(974\) | −56.2773 | − | 9.72577i | −1.80324 | − | 0.311634i | ||||
\(975\) | −15.1427 | + | 7.23575i | −0.484956 | + | 0.231729i | ||||
\(976\) | 7.97185 | + | 39.5172i | 0.255173 | + | 1.26492i | ||||
\(977\) | −10.4373 | − | 25.1979i | −0.333920 | − | 0.806153i | −0.998274 | − | 0.0587350i | \(-0.981293\pi\) |
0.664354 | − | 0.747418i | \(-0.268707\pi\) | |||||||
\(978\) | −1.07560 | + | 1.91947i | −0.0343940 | + | 0.0613777i | ||||
\(979\) | −1.85488 | − | 0.562671i | −0.0592821 | − | 0.0179830i | ||||
\(980\) | −32.1612 | + | 29.2287i | −1.02735 | + | 0.933677i | ||||
\(981\) | −0.0690341 | − | 8.68658i | −0.00220409 | − | 0.277341i | ||||
\(982\) | 14.7531 | − | 12.7435i | 0.470789 | − | 0.406662i | ||||
\(983\) | −13.0466 | + | 19.5256i | −0.416122 | + | 0.622770i | −0.979022 | − | 0.203755i | \(-0.934686\pi\) |
0.562900 | + | 0.826525i | \(0.309686\pi\) | |||||||
\(984\) | −2.03021 | + | 5.35875i | −0.0647207 | + | 0.170831i | ||||
\(985\) | 7.44148 | − | 4.97224i | 0.237105 | − | 0.158429i | ||||
\(986\) | 0.556416 | + | 0.980662i | 0.0177199 | + | 0.0312306i | ||||
\(987\) | −26.7637 | + | 57.1737i | −0.851897 | + | 1.81986i | ||||
\(988\) | −7.02107 | + | 1.76880i | −0.223370 | + | 0.0562730i | ||||
\(989\) | −27.9132 | + | 34.0124i | −0.887589 | + | 1.08153i | ||||
\(990\) | 3.80651 | − | 14.2313i | 0.120979 | − | 0.452302i | ||||
\(991\) | −4.49700 | − | 4.49700i | −0.142852 | − | 0.142852i | 0.632064 | − | 0.774916i | \(-0.282208\pi\) |
−0.774916 | + | 0.632064i | \(0.782208\pi\) | |||||||
\(992\) | −34.6574 | + | 4.39382i | −1.10037 | + | 0.139504i | ||||
\(993\) | −0.830838 | − | 15.6435i | −0.0263658 | − | 0.496431i | ||||
\(994\) | 38.3408 | + | 86.3376i | 1.21610 | + | 2.73846i | ||||
\(995\) | 11.1429 | − | 13.5777i | 0.353255 | − | 0.430442i | ||||
\(996\) | 29.6793 | − | 24.6230i | 0.940425 | − | 0.780210i | ||||
\(997\) | 29.8003 | − | 9.03983i | 0.943785 | − | 0.286294i | 0.219357 | − | 0.975645i | \(-0.429604\pi\) |
0.724428 | + | 0.689350i | \(0.242104\pi\) | |||||||
\(998\) | −2.01112 | + | 7.28645i | −0.0636609 | + | 0.230649i | ||||
\(999\) | −2.14745 | + | 57.7520i | −0.0679422 | + | 1.82719i |
(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 | 384.2.w.a.11.46 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.11.17 | ✓ | 992 | |
128.35 | odd | 32 | inner | 384.2.w.a.35.17 | yes | 992 | |
384.35 | even | 32 | inner | 384.2.w.a.35.46 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.17 | ✓ | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.11.46 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.35.17 | yes | 992 | 128.35 | odd | 32 | inner | |
384.2.w.a.35.46 | yes | 992 | 384.35 | even | 32 | inner |