Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 31.12 | ||
Character | \(\chi\) | \(=\) | 108.31 |
Dual form | 108.3.j.a.7.12 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07434 | − | 1.68695i | −0.537171 | − | 0.843474i | ||||
\(3\) | 2.99807 | + | 0.107643i | 0.999356 | + | 0.0358811i | ||||
\(4\) | −1.69158 | + | 3.62471i | −0.422895 | + | 0.906179i | ||||
\(5\) | −0.755508 | + | 4.28470i | −0.151102 | + | 0.856939i | 0.811162 | + | 0.584821i | \(0.198835\pi\) |
−0.962264 | + | 0.272118i | \(0.912276\pi\) | |||||||
\(6\) | −3.03936 | − | 5.17323i | −0.506560 | − | 0.862205i | ||||
\(7\) | 6.44162 | + | 7.67682i | 0.920232 | + | 1.09669i | 0.995038 | + | 0.0994912i | \(0.0317215\pi\) |
−0.0748069 | + | 0.997198i | \(0.523834\pi\) | |||||||
\(8\) | 7.93204 | − | 1.04057i | 0.991505 | − | 0.130072i | ||||
\(9\) | 8.97683 | + | 0.645444i | 0.997425 | + | 0.0717160i | ||||
\(10\) | 8.03973 | − | 3.32873i | 0.803973 | − | 0.332873i | ||||
\(11\) | −16.5915 | + | 2.92553i | −1.50832 | + | 0.265957i | −0.865830 | − | 0.500338i | \(-0.833209\pi\) |
−0.642489 | + | 0.766295i | \(0.722098\pi\) | |||||||
\(12\) | −5.46165 | + | 10.6851i | −0.455137 | + | 0.890421i | ||||
\(13\) | 7.70282 | − | 2.80360i | 0.592525 | − | 0.215661i | −0.0283148 | − | 0.999599i | \(-0.509014\pi\) |
0.620840 | + | 0.783938i | \(0.286792\pi\) | |||||||
\(14\) | 6.02990 | − | 19.1142i | 0.430707 | − | 1.36530i | ||||
\(15\) | −2.72628 | + | 12.7645i | −0.181752 | + | 0.850966i | ||||
\(16\) | −10.2771 | − | 12.2630i | −0.642319 | − | 0.766437i | ||||
\(17\) | 13.2638 | − | 22.9735i | 0.780222 | − | 1.35138i | −0.151590 | − | 0.988443i | \(-0.548439\pi\) |
0.931812 | − | 0.362941i | \(-0.118227\pi\) | |||||||
\(18\) | −8.55535 | − | 15.8369i | −0.475297 | − | 0.879825i | ||||
\(19\) | −10.2637 | + | 5.92574i | −0.540194 | + | 0.311881i | −0.745158 | − | 0.666888i | \(-0.767626\pi\) |
0.204964 | + | 0.978770i | \(0.434292\pi\) | |||||||
\(20\) | −14.2528 | − | 9.98641i | −0.712640 | − | 0.499320i | ||||
\(21\) | 18.4861 | + | 23.7090i | 0.880289 | + | 1.12900i | ||||
\(22\) | 22.7602 | + | 24.8460i | 1.03455 | + | 1.12936i | ||||
\(23\) | 14.3578 | − | 17.1110i | 0.624252 | − | 0.743955i | −0.357543 | − | 0.933897i | \(-0.616385\pi\) |
0.981795 | + | 0.189942i | \(0.0608299\pi\) | |||||||
\(24\) | 23.8928 | − | 2.26588i | 0.995533 | − | 0.0944118i | ||||
\(25\) | 5.70448 | + | 2.07626i | 0.228179 | + | 0.0830505i | ||||
\(26\) | −13.0050 | − | 9.98223i | −0.500192 | − | 0.383932i | ||||
\(27\) | 26.8437 | + | 2.90138i | 0.994210 | + | 0.107459i | ||||
\(28\) | −38.7228 | + | 10.3631i | −1.38296 | + | 0.370110i | ||||
\(29\) | −29.1256 | − | 10.6009i | −1.00433 | − | 0.365547i | −0.213078 | − | 0.977035i | \(-0.568349\pi\) |
−0.791254 | + | 0.611488i | \(0.790571\pi\) | |||||||
\(30\) | 24.4620 | − | 9.11432i | 0.815399 | − | 0.303811i | ||||
\(31\) | −12.9259 | + | 15.4045i | −0.416965 | + | 0.496920i | −0.933115 | − | 0.359579i | \(-0.882920\pi\) |
0.516150 | + | 0.856498i | \(0.327365\pi\) | |||||||
\(32\) | −9.64589 | + | 30.5116i | −0.301434 | + | 0.953487i | ||||
\(33\) | −50.0574 | + | 6.98497i | −1.51689 | + | 0.211666i | ||||
\(34\) | −53.0049 | + | 2.30613i | −1.55897 | + | 0.0678275i | ||||
\(35\) | −37.7596 | + | 21.8005i | −1.07884 | + | 0.622871i | ||||
\(36\) | −17.5246 | + | 31.4466i | −0.486794 | + | 0.873517i | ||||
\(37\) | 20.1962 | − | 34.9808i | 0.545842 | − | 0.945426i | −0.452711 | − | 0.891657i | \(-0.649543\pi\) |
0.998553 | − | 0.0537690i | \(-0.0171235\pi\) | |||||||
\(38\) | 21.0231 | + | 10.9480i | 0.553240 | + | 0.288106i | ||||
\(39\) | 23.3954 | − | 7.57622i | 0.599881 | − | 0.194262i | ||||
\(40\) | −1.53417 | + | 34.7725i | −0.0383542 | + | 0.869313i | ||||
\(41\) | −34.1160 | + | 12.4172i | −0.832096 | + | 0.302858i | −0.722719 | − | 0.691142i | \(-0.757108\pi\) |
−0.109377 | + | 0.994000i | \(0.534886\pi\) | |||||||
\(42\) | 20.1356 | − | 56.6566i | 0.479418 | − | 1.34897i | ||||
\(43\) | −25.3466 | + | 4.46929i | −0.589456 | + | 0.103937i | −0.460417 | − | 0.887703i | \(-0.652300\pi\) |
−0.129039 | + | 0.991640i | \(0.541189\pi\) | |||||||
\(44\) | 17.4617 | − | 65.0882i | 0.396856 | − | 1.47928i | ||||
\(45\) | −9.54759 | + | 37.9753i | −0.212169 | + | 0.843896i | ||||
\(46\) | −44.2905 | − | 5.83783i | −0.962836 | − | 0.126909i | ||||
\(47\) | 12.9992 | + | 15.4919i | 0.276579 | + | 0.329614i | 0.886396 | − | 0.462928i | \(-0.153201\pi\) |
−0.609817 | + | 0.792543i | \(0.708757\pi\) | |||||||
\(48\) | −29.4915 | − | 37.8716i | −0.614405 | − | 0.788991i | ||||
\(49\) | −8.93040 | + | 50.6468i | −0.182253 | + | 1.03361i | ||||
\(50\) | −2.62602 | − | 11.8538i | −0.0525204 | − | 0.237076i | ||||
\(51\) | 42.2386 | − | 67.4484i | 0.828209 | − | 1.32252i | ||||
\(52\) | −2.86770 | + | 32.6630i | −0.0551481 | + | 0.628135i | ||||
\(53\) | 46.7045 | 0.881217 | 0.440609 | − | 0.897699i | \(-0.354763\pi\) | ||||
0.440609 | + | 0.897699i | \(0.354763\pi\) | |||||||
\(54\) | −23.9448 | − | 48.4009i | −0.443422 | − | 0.896313i | ||||
\(55\) | − | 73.2998i | − | 1.33272i | ||||||
\(56\) | 59.0835 | + | 54.1899i | 1.05506 | + | 0.967676i | ||||
\(57\) | −31.4091 | + | 16.6610i | −0.551037 | + | 0.292298i | ||||
\(58\) | 13.4078 | + | 60.5223i | 0.231169 | + | 1.04349i | ||||
\(59\) | −36.4280 | − | 6.42325i | −0.617424 | − | 0.108869i | −0.143817 | − | 0.989604i | \(-0.545938\pi\) |
−0.473608 | + | 0.880736i | \(0.657049\pi\) | |||||||
\(60\) | −41.6559 | − | 31.4742i | −0.694265 | − | 0.524569i | ||||
\(61\) | 48.7491 | − | 40.9054i | 0.799166 | − | 0.670580i | −0.148830 | − | 0.988863i | \(-0.547551\pi\) |
0.947996 | + | 0.318283i | \(0.103106\pi\) | |||||||
\(62\) | 39.8734 | + | 5.25563i | 0.643120 | + | 0.0847683i | ||||
\(63\) | 52.8703 | + | 73.0712i | 0.839212 | + | 1.15986i | ||||
\(64\) | 61.8344 | − | 16.5078i | 0.966163 | − | 0.257934i | ||||
\(65\) | 6.19303 | + | 35.1224i | 0.0952773 | + | 0.540344i | ||||
\(66\) | 65.5620 | + | 76.9399i | 0.993364 | + | 1.16576i | ||||
\(67\) | −25.9527 | − | 71.3043i | −0.387353 | − | 1.06424i | −0.968188 | − | 0.250223i | \(-0.919496\pi\) |
0.580835 | − | 0.814021i | \(-0.302726\pi\) | |||||||
\(68\) | 60.8357 | + | 86.9390i | 0.894643 | + | 1.27851i | ||||
\(69\) | 44.8875 | − | 49.7543i | 0.650544 | − | 0.721077i | ||||
\(70\) | 77.3429 | + | 40.2772i | 1.10490 | + | 0.575389i | ||||
\(71\) | 17.4692 | + | 10.0858i | 0.246045 | + | 0.142054i | 0.617952 | − | 0.786216i | \(-0.287963\pi\) |
−0.371907 | + | 0.928270i | \(0.621296\pi\) | |||||||
\(72\) | 71.8761 | − | 4.22137i | 0.998280 | − | 0.0586302i | ||||
\(73\) | −50.2648 | − | 87.0613i | −0.688560 | − | 1.19262i | −0.972304 | − | 0.233720i | \(-0.924910\pi\) |
0.283744 | − | 0.958900i | \(-0.408423\pi\) | |||||||
\(74\) | −80.7083 | + | 3.51145i | −1.09065 | + | 0.0474520i | ||||
\(75\) | 16.8789 | + | 6.83883i | 0.225053 | + | 0.0911844i | ||||
\(76\) | −4.11727 | − | 47.2268i | −0.0541746 | − | 0.621405i | ||||
\(77\) | −129.335 | − | 108.525i | −1.67967 | − | 1.40941i | ||||
\(78\) | −37.9153 | − | 31.3273i | −0.486094 | − | 0.401632i | ||||
\(79\) | 29.7876 | − | 81.8406i | 0.377058 | − | 1.03596i | −0.595512 | − | 0.803346i | \(-0.703051\pi\) |
0.972570 | − | 0.232611i | \(-0.0747269\pi\) | |||||||
\(80\) | 60.3076 | − | 34.7695i | 0.753845 | − | 0.434619i | ||||
\(81\) | 80.1668 | + | 11.5881i | 0.989714 | + | 0.143063i | ||||
\(82\) | 57.5993 | + | 44.2115i | 0.702431 | + | 0.539165i | ||||
\(83\) | −25.2237 | + | 69.3017i | −0.303900 | + | 0.834960i | 0.689912 | + | 0.723893i | \(0.257649\pi\) |
−0.993813 | + | 0.111067i | \(0.964573\pi\) | |||||||
\(84\) | −117.209 | + | 26.9009i | −1.39535 | + | 0.320249i | ||||
\(85\) | 88.4137 | + | 74.1879i | 1.04016 | + | 0.872799i | ||||
\(86\) | 34.7704 | + | 37.9569i | 0.404307 | + | 0.441359i | ||||
\(87\) | −86.1795 | − | 34.9173i | −0.990569 | − | 0.401348i | ||||
\(88\) | −128.560 | + | 40.4701i | −1.46091 | + | 0.459888i | ||||
\(89\) | −37.6081 | − | 65.1392i | −0.422563 | − | 0.731901i | 0.573626 | − | 0.819117i | \(-0.305536\pi\) |
−0.996189 | + | 0.0872163i | \(0.972203\pi\) | |||||||
\(90\) | 74.3198 | − | 24.6922i | 0.825775 | − | 0.274358i | ||||
\(91\) | 71.1414 | + | 41.0735i | 0.781774 | + | 0.451357i | ||||
\(92\) | 37.7350 | + | 80.9875i | 0.410163 | + | 0.880299i | ||||
\(93\) | −40.4110 | + | 44.7924i | −0.434527 | + | 0.481639i | ||||
\(94\) | 12.1684 | − | 38.5725i | 0.129451 | − | 0.410346i | ||||
\(95\) | −17.6357 | − | 48.4537i | −0.185639 | − | 0.510039i | ||||
\(96\) | −32.2034 | + | 90.4375i | −0.335452 | + | 0.942057i | ||||
\(97\) | 12.6145 | + | 71.5405i | 0.130047 | + | 0.737531i | 0.978182 | + | 0.207751i | \(0.0666144\pi\) |
−0.848135 | + | 0.529780i | \(0.822274\pi\) | |||||||
\(98\) | 95.0328 | − | 39.3469i | 0.969722 | − | 0.401499i | ||||
\(99\) | −150.827 | + | 15.5531i | −1.52351 | + | 0.157102i | ||||
\(100\) | −17.1755 | + | 17.1650i | −0.171755 | + | 0.171650i | ||||
\(101\) | 40.3702 | − | 33.8746i | 0.399705 | − | 0.335392i | −0.420675 | − | 0.907211i | \(-0.638207\pi\) |
0.820379 | + | 0.571820i | \(0.193762\pi\) | |||||||
\(102\) | −159.161 | + | 1.20832i | −1.56040 | + | 0.0118462i | ||||
\(103\) | −42.8748 | − | 7.55998i | −0.416260 | − | 0.0733979i | −0.0384042 | − | 0.999262i | \(-0.512227\pi\) |
−0.377856 | + | 0.925864i | \(0.623339\pi\) | |||||||
\(104\) | 58.1817 | − | 30.2536i | 0.559440 | − | 0.290900i | ||||
\(105\) | −115.552 | + | 61.2948i | −1.10050 | + | 0.583760i | ||||
\(106\) | −50.1766 | − | 78.7880i | −0.473364 | − | 0.743283i | ||||
\(107\) | 70.5658i | 0.659493i | 0.944069 | + | 0.329747i | \(0.106963\pi\) | ||||
−0.944069 | + | 0.329747i | \(0.893037\pi\) | |||||||
\(108\) | −55.9249 | + | 92.3927i | −0.517823 | + | 0.855488i | ||||
\(109\) | −89.3232 | −0.819479 | −0.409739 | − | 0.912203i | \(-0.634380\pi\) | ||||
−0.409739 | + | 0.912203i | \(0.634380\pi\) | |||||||
\(110\) | −123.653 | + | 78.7490i | −1.12412 | + | 0.715900i | ||||
\(111\) | 64.3149 | − | 102.701i | 0.579413 | − | 0.925232i | ||||
\(112\) | 27.9396 | − | 157.889i | 0.249461 | − | 1.40972i | ||||
\(113\) | −13.7107 | + | 77.7573i | −0.121334 | + | 0.688118i | 0.862084 | + | 0.506765i | \(0.169159\pi\) |
−0.983418 | + | 0.181353i | \(0.941952\pi\) | |||||||
\(114\) | 61.8503 | + | 35.0859i | 0.542546 | + | 0.307771i | ||||
\(115\) | 62.4678 | + | 74.4463i | 0.543199 | + | 0.647359i | ||||
\(116\) | 87.6934 | − | 87.6399i | 0.755978 | − | 0.755516i | ||||
\(117\) | 70.9565 | − | 20.1957i | 0.606465 | − | 0.172613i | ||||
\(118\) | 28.3005 | + | 68.3529i | 0.239835 | + | 0.579262i | ||||
\(119\) | 261.804 | − | 46.1631i | 2.20003 | − | 0.387925i | ||||
\(120\) | −8.34257 | + | 104.085i | −0.0695214 | + | 0.867377i | ||||
\(121\) | 153.017 | − | 55.6935i | 1.26460 | − | 0.460277i | ||||
\(122\) | −121.378 | − | 38.2909i | −0.994905 | − | 0.313860i | ||||
\(123\) | −103.619 | + | 33.5552i | −0.842427 | + | 0.272807i | ||||
\(124\) | −33.9717 | − | 72.9107i | −0.273965 | − | 0.587990i | ||||
\(125\) | −67.5909 | + | 117.071i | −0.540727 | + | 0.936567i | ||||
\(126\) | 66.4665 | − | 167.693i | 0.527512 | − | 1.33090i | ||||
\(127\) | 82.1426 | − | 47.4250i | 0.646792 | − | 0.373425i | −0.140434 | − | 0.990090i | \(-0.544850\pi\) |
0.787226 | + | 0.616665i | \(0.211517\pi\) | |||||||
\(128\) | −94.2790 | − | 86.5764i | −0.736555 | − | 0.676378i | ||||
\(129\) | −76.4720 | + | 10.6708i | −0.592806 | + | 0.0827198i | ||||
\(130\) | 52.5962 | − | 48.1808i | 0.404586 | − | 0.370621i | ||||
\(131\) | 7.26521 | − | 8.65835i | 0.0554597 | − | 0.0660942i | −0.737601 | − | 0.675236i | \(-0.764042\pi\) |
0.793061 | + | 0.609142i | \(0.208486\pi\) | |||||||
\(132\) | 59.3575 | − | 193.259i | 0.449678 | − | 1.46409i | ||||
\(133\) | −111.606 | − | 40.6211i | −0.839140 | − | 0.305422i | ||||
\(134\) | −92.4046 | + | 120.386i | −0.689587 | + | 0.898403i | ||||
\(135\) | −32.7121 | + | 112.825i | −0.242312 | + | 0.835740i | ||||
\(136\) | 81.3031 | − | 196.029i | 0.597817 | − | 1.44139i | ||||
\(137\) | 147.499 | + | 53.6854i | 1.07664 | + | 0.391864i | 0.818655 | − | 0.574286i | \(-0.194720\pi\) |
0.257982 | + | 0.966150i | \(0.416942\pi\) | |||||||
\(138\) | −132.157 | − | 22.2698i | −0.957663 | − | 0.161375i | ||||
\(139\) | −113.198 | + | 134.904i | −0.814376 | + | 0.970535i | −0.999927 | − | 0.0120996i | \(-0.996148\pi\) |
0.185551 | + | 0.982635i | \(0.440593\pi\) | |||||||
\(140\) | −15.1472 | − | 173.745i | −0.108194 | − | 1.24103i | ||||
\(141\) | 37.3049 | + | 47.8449i | 0.264574 | + | 0.339326i | ||||
\(142\) | −1.75359 | − | 40.3052i | −0.0123493 | − | 0.283839i | ||||
\(143\) | −119.599 | + | 69.0507i | −0.836359 | + | 0.482872i | ||||
\(144\) | −84.3408 | − | 116.716i | −0.585700 | − | 0.810528i | ||||
\(145\) | 67.4261 | − | 116.785i | 0.465008 | − | 0.805417i | ||||
\(146\) | −92.8661 | + | 178.328i | −0.636069 | + | 1.22142i | ||||
\(147\) | −32.2257 | + | 150.881i | −0.219223 | + | 1.02640i | ||||
\(148\) | 92.6319 | + | 132.378i | 0.625891 | + | 0.894446i | ||||
\(149\) | −92.5431 | + | 33.6829i | −0.621094 | + | 0.226060i | −0.633351 | − | 0.773865i | \(-0.718321\pi\) |
0.0122562 | + | 0.999925i | \(0.496099\pi\) | |||||||
\(150\) | −6.59701 | − | 35.8211i | −0.0439800 | − | 0.238807i | ||||
\(151\) | 0.769516 | − | 0.135686i | 0.00509613 | − | 0.000898586i | −0.171100 | − | 0.985254i | \(-0.554732\pi\) |
0.176196 | + | 0.984355i | \(0.443621\pi\) | |||||||
\(152\) | −75.2458 | + | 57.6833i | −0.495038 | + | 0.379496i | ||||
\(153\) | 133.895 | − | 197.668i | 0.875129 | − | 1.29195i | ||||
\(154\) | −44.1259 | + | 334.774i | −0.286532 | + | 2.17386i | ||||
\(155\) | −56.2380 | − | 67.0219i | −0.362826 | − | 0.432399i | ||||
\(156\) | −12.1135 | + | 97.6173i | −0.0776508 | + | 0.625752i | ||||
\(157\) | −30.8928 | + | 175.202i | −0.196769 | + | 1.11593i | 0.713107 | + | 0.701055i | \(0.247287\pi\) |
−0.909876 | + | 0.414879i | \(0.863824\pi\) | |||||||
\(158\) | −170.063 | + | 37.6748i | −1.07635 | + | 0.238448i | ||||
\(159\) | 140.023 | + | 5.02743i | 0.880650 | + | 0.0316191i | ||||
\(160\) | −123.445 | − | 64.3814i | −0.771533 | − | 0.402384i | ||||
\(161\) | 223.845 | 1.39034 | ||||||||
\(162\) | −66.5780 | − | 147.687i | −0.410976 | − | 0.911646i | ||||
\(163\) | − | 268.797i | − | 1.64906i | −0.565818 | − | 0.824530i | \(-0.691439\pi\) | ||
0.565818 | − | 0.824530i | \(-0.308561\pi\) | |||||||
\(164\) | 12.7011 | − | 144.665i | 0.0774458 | − | 0.882105i | ||||
\(165\) | 7.89024 | − | 219.758i | 0.0478196 | − | 1.33187i | ||||
\(166\) | 144.007 | − | 31.9025i | 0.867513 | − | 0.192184i | ||||
\(167\) | 21.3074 | + | 3.75708i | 0.127589 | + | 0.0224975i | 0.237078 | − | 0.971491i | \(-0.423810\pi\) |
−0.109489 | + | 0.993988i | \(0.534921\pi\) | |||||||
\(168\) | 171.303 | + | 168.825i | 1.01966 | + | 1.00491i | ||||
\(169\) | −77.9882 | + | 65.4399i | −0.461469 | + | 0.387218i | ||||
\(170\) | 30.1646 | − | 228.852i | 0.177439 | − | 1.34619i | ||||
\(171\) | −95.9601 | + | 46.5697i | −0.561170 | + | 0.272338i | ||||
\(172\) | 26.6759 | − | 99.4344i | 0.155093 | − | 0.578107i | ||||
\(173\) | −20.3403 | − | 115.356i | −0.117574 | − | 0.666796i | −0.985443 | − | 0.170003i | \(-0.945622\pi\) |
0.867869 | − | 0.496792i | \(-0.165489\pi\) | |||||||
\(174\) | 33.6826 | + | 182.893i | 0.193578 | + | 1.05111i | ||||
\(175\) | 20.8070 | + | 57.1668i | 0.118897 | + | 0.326668i | ||||
\(176\) | 206.389 | + | 173.396i | 1.17266 | + | 0.985202i | ||||
\(177\) | −108.522 | − | 23.1786i | −0.613121 | − | 0.130952i | ||||
\(178\) | −69.4824 | + | 133.425i | −0.390350 | + | 0.749577i | ||||
\(179\) | 17.3998 | + | 10.0458i | 0.0972054 | + | 0.0561216i | 0.547815 | − | 0.836600i | \(-0.315460\pi\) |
−0.450609 | + | 0.892721i | \(0.648793\pi\) | |||||||
\(180\) | −121.499 | − | 98.8456i | −0.674996 | − | 0.549142i | ||||
\(181\) | 96.6241 | + | 167.358i | 0.533835 | + | 0.924629i | 0.999219 | + | 0.0395201i | \(0.0125829\pi\) |
−0.465384 | + | 0.885109i | \(0.654084\pi\) | |||||||
\(182\) | −7.14133 | − | 164.139i | −0.0392381 | − | 0.901861i | ||||
\(183\) | 150.556 | − | 117.390i | 0.822713 | − | 0.641473i | ||||
\(184\) | 96.0814 | − | 150.665i | 0.522181 | − | 0.818832i | ||||
\(185\) | 134.624 | + | 112.963i | 0.727695 | + | 0.610609i | ||||
\(186\) | 118.978 | + | 20.0489i | 0.639664 | + | 0.107790i | ||||
\(187\) | −152.856 | + | 419.969i | −0.817413 | + | 2.24582i | ||||
\(188\) | −78.1428 | + | 20.9127i | −0.415653 | + | 0.111238i | ||||
\(189\) | 150.643 | + | 224.764i | 0.797054 | + | 1.18923i | ||||
\(190\) | −62.7921 | + | 81.8064i | −0.330485 | + | 0.430560i | ||||
\(191\) | −87.6196 | + | 240.733i | −0.458741 | + | 1.26038i | 0.467682 | + | 0.883897i | \(0.345089\pi\) |
−0.926423 | + | 0.376484i | \(0.877133\pi\) | |||||||
\(192\) | 187.161 | − | 42.8353i | 0.974795 | − | 0.223101i | ||||
\(193\) | −217.111 | − | 182.178i | −1.12493 | − | 0.943928i | −0.126087 | − | 0.992019i | \(-0.540242\pi\) |
−0.998843 | + | 0.0480909i | \(0.984686\pi\) | |||||||
\(194\) | 107.133 | − | 98.1390i | 0.552231 | − | 0.505871i | ||||
\(195\) | 14.7864 | + | 105.966i | 0.0758278 | + | 0.543415i | ||||
\(196\) | −168.474 | − | 118.043i | −0.859560 | − | 0.602262i | ||||
\(197\) | 142.022 | + | 245.990i | 0.720925 | + | 1.24868i | 0.960630 | + | 0.277832i | \(0.0896160\pi\) |
−0.239705 | + | 0.970846i | \(0.577051\pi\) | |||||||
\(198\) | 188.277 | + | 237.728i | 0.950895 | + | 1.20065i | ||||
\(199\) | 118.652 | + | 68.5039i | 0.596242 | + | 0.344241i | 0.767562 | − | 0.640975i | \(-0.221470\pi\) |
−0.171320 | + | 0.985216i | \(0.554803\pi\) | |||||||
\(200\) | 47.4087 | + | 10.5330i | 0.237043 | + | 0.0526652i | ||||
\(201\) | −70.1324 | − | 216.569i | −0.348917 | − | 1.07746i | ||||
\(202\) | −100.516 | − | 31.7094i | −0.497604 | − | 0.156977i | ||||
\(203\) | −106.235 | − | 291.879i | −0.523326 | − | 1.43783i | ||||
\(204\) | 173.031 | + | 267.197i | 0.848193 | + | 1.30979i | ||||
\(205\) | −27.4290 | − | 155.558i | −0.133800 | − | 0.758818i | ||||
\(206\) | 33.3089 | + | 80.4495i | 0.161694 | + | 0.390532i | ||||
\(207\) | 139.932 | − | 144.335i | 0.675998 | − | 0.697270i | ||||
\(208\) | −113.543 | − | 65.6468i | −0.545881 | − | 0.315609i | ||||
\(209\) | 152.954 | − | 128.344i | 0.731838 | − | 0.614085i | ||||
\(210\) | 227.544 | + | 129.079i | 1.08354 | + | 0.614663i | ||||
\(211\) | −181.862 | − | 32.0671i | −0.861903 | − | 0.151977i | −0.274813 | − | 0.961498i | \(-0.588616\pi\) |
−0.587091 | + | 0.809521i | \(0.699727\pi\) | |||||||
\(212\) | −79.0044 | + | 169.291i | −0.372662 | + | 0.798540i | ||||
\(213\) | 51.2881 | + | 32.1185i | 0.240789 | + | 0.150791i | ||||
\(214\) | 119.041 | − | 75.8117i | 0.556265 | − | 0.354260i | ||||
\(215\) | − | 111.979i | − | 0.520833i | ||||||
\(216\) | 215.944 | − | 4.91897i | 0.999741 | − | 0.0227730i | ||||
\(217\) | −201.522 | −0.928671 | ||||||||
\(218\) | 95.9636 | + | 150.684i | 0.440200 | + | 0.691209i | ||||
\(219\) | −141.326 | − | 266.426i | −0.645324 | − | 1.21656i | ||||
\(220\) | 265.691 | + | 123.993i | 1.20769 | + | 0.563602i | ||||
\(221\) | 37.7599 | − | 214.147i | 0.170859 | − | 0.968992i | ||||
\(222\) | −242.347 | + | 1.83985i | −1.09165 | + | 0.00828762i | ||||
\(223\) | 140.359 | + | 167.273i | 0.629413 | + | 0.750105i | 0.982658 | − | 0.185426i | \(-0.0593664\pi\) |
−0.353245 | + | 0.935531i | \(0.614922\pi\) | |||||||
\(224\) | −296.367 | + | 122.494i | −1.32307 | + | 0.546849i | ||||
\(225\) | 49.8681 | + | 22.3202i | 0.221636 | + | 0.0992008i | ||||
\(226\) | 145.902 | − | 60.4087i | 0.645586 | − | 0.267295i | ||||
\(227\) | 298.580 | − | 52.6476i | 1.31533 | − | 0.231928i | 0.528412 | − | 0.848988i | \(-0.322788\pi\) |
0.786916 | + | 0.617060i | \(0.211676\pi\) | |||||||
\(228\) | −7.26021 | − | 142.032i | −0.0318430 | − | 0.622949i | ||||
\(229\) | −291.207 | + | 105.991i | −1.27164 | + | 0.462841i | −0.887660 | − | 0.460499i | \(-0.847671\pi\) |
−0.383985 | + | 0.923340i | \(0.625448\pi\) | |||||||
\(230\) | 58.4751 | − | 185.361i | 0.254240 | − | 0.805916i | ||||
\(231\) | −376.073 | − | 339.287i | −1.62802 | − | 1.46878i | ||||
\(232\) | −242.056 | − | 53.7790i | −1.04335 | − | 0.231806i | ||||
\(233\) | −21.7586 | + | 37.6870i | −0.0933845 | + | 0.161747i | −0.908933 | − | 0.416942i | \(-0.863102\pi\) |
0.815549 | + | 0.578688i | \(0.196435\pi\) | |||||||
\(234\) | −110.300 | − | 98.0027i | −0.471370 | − | 0.418815i | ||||
\(235\) | −76.1989 | + | 43.9935i | −0.324251 | + | 0.187206i | ||||
\(236\) | 84.9034 | − | 121.176i | 0.359760 | − | 0.513457i | ||||
\(237\) | 98.1147 | − | 242.157i | 0.413986 | − | 1.02176i | ||||
\(238\) | −359.142 | − | 392.054i | −1.50900 | − | 1.64729i | ||||
\(239\) | 214.161 | − | 255.227i | 0.896069 | − | 1.06789i | −0.101260 | − | 0.994860i | \(-0.532287\pi\) |
0.997329 | − | 0.0730337i | \(-0.0232681\pi\) | |||||||
\(240\) | 184.549 | − | 97.7497i | 0.768955 | − | 0.407290i | ||||
\(241\) | 325.919 | + | 118.625i | 1.35236 | + | 0.492219i | 0.913684 | − | 0.406426i | \(-0.133225\pi\) |
0.438677 | + | 0.898645i | \(0.355447\pi\) | |||||||
\(242\) | −258.344 | − | 198.297i | −1.06754 | − | 0.819409i | ||||
\(243\) | 239.098 | + | 43.3713i | 0.983943 | + | 0.178483i | ||||
\(244\) | 65.8073 | + | 245.896i | 0.269702 | + | 1.00777i | ||||
\(245\) | −210.259 | − | 76.5281i | −0.858201 | − | 0.312360i | ||||
\(246\) | 167.928 | + | 138.749i | 0.682633 | + | 0.564021i | ||||
\(247\) | −62.4460 | + | 74.4202i | −0.252818 | + | 0.301296i | ||||
\(248\) | −86.4993 | + | 135.640i | −0.348788 | + | 0.546934i | ||||
\(249\) | −83.0823 | + | 205.056i | −0.333664 | + | 0.823518i | ||||
\(250\) | 270.108 | − | 11.7518i | 1.08043 | − | 0.0470073i | ||||
\(251\) | 12.1468 | − | 7.01295i | 0.0483935 | − | 0.0279400i | −0.475608 | − | 0.879657i | \(-0.657772\pi\) |
0.524002 | + | 0.851717i | \(0.324439\pi\) | |||||||
\(252\) | −354.297 | + | 68.0341i | −1.40594 | + | 0.269976i | ||||
\(253\) | −188.159 | + | 325.901i | −0.743711 | + | 1.28815i | ||||
\(254\) | −168.253 | − | 87.6195i | −0.662412 | − | 0.344958i | ||||
\(255\) | 257.084 | + | 231.938i | 1.00817 | + | 0.909559i | ||||
\(256\) | −44.7620 | + | 252.056i | −0.174851 | + | 0.984595i | ||||
\(257\) | −159.478 | + | 58.0452i | −0.620537 | + | 0.225857i | −0.633107 | − | 0.774064i | \(-0.718221\pi\) |
0.0125705 | + | 0.999921i | \(0.495999\pi\) | |||||||
\(258\) | 100.158 | + | 117.540i | 0.388210 | + | 0.455582i | ||||
\(259\) | 398.637 | − | 70.2905i | 1.53914 | − | 0.271392i | ||||
\(260\) | −137.785 | − | 36.9644i | −0.529941 | − | 0.142171i | ||||
\(261\) | −254.613 | − | 113.961i | −0.975530 | − | 0.436632i | ||||
\(262\) | −22.4115 | − | 2.95401i | −0.0855400 | − | 0.0112749i | ||||
\(263\) | −208.683 | − | 248.699i | −0.793473 | − | 0.945624i | 0.205985 | − | 0.978555i | \(-0.433960\pi\) |
−0.999458 | + | 0.0329313i | \(0.989516\pi\) | |||||||
\(264\) | −389.789 | + | 107.494i | −1.47647 | + | 0.407172i | ||||
\(265\) | −35.2856 | + | 200.115i | −0.133153 | + | 0.755150i | ||||
\(266\) | 51.3769 | + | 231.914i | 0.193146 | + | 0.871857i | ||||
\(267\) | −105.740 | − | 199.340i | −0.396030 | − | 0.746592i | ||||
\(268\) | 302.359 | + | 26.5460i | 1.12820 | + | 0.0990524i | ||||
\(269\) | −281.085 | −1.04493 | −0.522463 | − | 0.852662i | \(-0.674987\pi\) | ||||
−0.522463 | + | 0.852662i | \(0.674987\pi\) | |||||||
\(270\) | 225.474 | − | 66.0289i | 0.835088 | − | 0.244551i | ||||
\(271\) | 270.921i | 0.999709i | 0.866109 | + | 0.499855i | \(0.166613\pi\) | ||||
−0.866109 | + | 0.499855i | \(0.833387\pi\) | |||||||
\(272\) | −418.037 | + | 73.4480i | −1.53690 | + | 0.270029i | ||||
\(273\) | 208.865 | + | 130.799i | 0.765075 | + | 0.479117i | ||||
\(274\) | −67.9003 | − | 306.500i | −0.247811 | − | 1.11861i | ||||
\(275\) | −100.720 | − | 17.7597i | −0.366255 | − | 0.0645807i | ||||
\(276\) | 104.414 | + | 246.868i | 0.378313 | + | 0.894449i | ||||
\(277\) | 80.9996 | − | 67.9667i | 0.292417 | − | 0.245367i | −0.484763 | − | 0.874646i | \(-0.661094\pi\) |
0.777180 | + | 0.629279i | \(0.216650\pi\) | |||||||
\(278\) | 349.190 | + | 46.0260i | 1.25608 | + | 0.165561i | ||||
\(279\) | −125.976 | + | 129.941i | −0.451529 | + | 0.465737i | ||||
\(280\) | −276.825 | + | 212.214i | −0.988661 | + | 0.757907i | ||||
\(281\) | 14.7191 | + | 83.4761i | 0.0523811 | + | 0.297068i | 0.999733 | − | 0.0231277i | \(-0.00736245\pi\) |
−0.947351 | + | 0.320196i | \(0.896251\pi\) | |||||||
\(282\) | 40.6336 | − | 114.333i | 0.144091 | − | 0.405437i | ||||
\(283\) | −110.305 | − | 303.060i | −0.389770 | − | 1.07088i | −0.967105 | − | 0.254376i | \(-0.918130\pi\) |
0.577336 | − | 0.816507i | \(-0.304092\pi\) | |||||||
\(284\) | −66.1088 | + | 46.2598i | −0.232777 | + | 0.162887i | ||||
\(285\) | −47.6574 | − | 147.166i | −0.167219 | − | 0.516372i | ||||
\(286\) | 244.976 | + | 127.574i | 0.856558 | + | 0.446062i | ||||
\(287\) | −315.087 | − | 181.915i | −1.09786 | − | 0.633851i | ||||
\(288\) | −106.283 | + | 267.671i | −0.369038 | + | 0.929414i | ||||
\(289\) | −207.355 | − | 359.150i | −0.717493 | − | 1.24273i | ||||
\(290\) | −269.449 | + | 11.7232i | −0.929136 | + | 0.0404248i | ||||
\(291\) | 30.1183 | + | 215.841i | 0.103499 | + | 0.741722i | ||||
\(292\) | 400.599 | − | 34.9246i | 1.37192 | − | 0.119605i | ||||
\(293\) | 157.814 | + | 132.422i | 0.538615 | + | 0.451952i | 0.871064 | − | 0.491170i | \(-0.163430\pi\) |
−0.332449 | + | 0.943121i | \(0.607875\pi\) | |||||||
\(294\) | 289.150 | − | 107.735i | 0.983504 | − | 0.366445i | ||||
\(295\) | 55.0433 | − | 151.230i | 0.186588 | − | 0.512645i | ||||
\(296\) | 123.797 | − | 298.484i | 0.418232 | − | 1.00839i | ||||
\(297\) | −453.865 | + | 30.3936i | −1.52816 | + | 0.102335i | ||||
\(298\) | 156.244 | + | 119.928i | 0.524309 | + | 0.402444i | ||||
\(299\) | 62.6233 | − | 172.056i | 0.209443 | − | 0.575439i | ||||
\(300\) | −53.3409 | + | 49.6129i | −0.177803 | + | 0.165376i | ||||
\(301\) | −197.583 | − | 165.792i | −0.656423 | − | 0.550804i | ||||
\(302\) | −1.05562 | − | 1.15236i | −0.00349543 | − | 0.00381576i | ||||
\(303\) | 124.679 | − | 97.2127i | 0.411481 | − | 0.320834i | ||||
\(304\) | 178.148 | + | 64.9640i | 0.586014 | + | 0.213697i | ||||
\(305\) | 138.437 | + | 239.780i | 0.453891 | + | 0.786163i | ||||
\(306\) | −477.305 | − | 13.5100i | −1.55982 | − | 0.0441502i | ||||
\(307\) | −194.400 | − | 112.237i | −0.633225 | − | 0.365593i | 0.148775 | − | 0.988871i | \(-0.452467\pi\) |
−0.782000 | + | 0.623278i | \(0.785800\pi\) | |||||||
\(308\) | 612.152 | − | 285.224i | 1.98751 | − | 0.926051i | ||||
\(309\) | −127.728 | − | 27.2805i | −0.413359 | − | 0.0882865i | ||||
\(310\) | −52.6435 | + | 166.875i | −0.169818 | + | 0.538306i | ||||
\(311\) | 76.8272 | + | 211.081i | 0.247033 | + | 0.678717i | 0.999791 | + | 0.0204207i | \(0.00650055\pi\) |
−0.752759 | + | 0.658297i | \(0.771277\pi\) | |||||||
\(312\) | 177.689 | − | 84.4395i | 0.569517 | − | 0.270639i | ||||
\(313\) | −69.3890 | − | 393.525i | −0.221690 | − | 1.25727i | −0.868912 | − | 0.494966i | \(-0.835181\pi\) |
0.647222 | − | 0.762301i | \(-0.275931\pi\) | |||||||
\(314\) | 328.745 | − | 136.112i | 1.04696 | − | 0.433478i | ||||
\(315\) | −353.032 | + | 171.328i | −1.12074 | + | 0.543897i | ||||
\(316\) | 246.261 | + | 246.411i | 0.779307 | + | 0.779783i | ||||
\(317\) | 11.8267 | − | 9.92380i | 0.0373083 | − | 0.0313054i | −0.623943 | − | 0.781470i | \(-0.714470\pi\) |
0.661251 | + | 0.750165i | \(0.270026\pi\) | |||||||
\(318\) | −141.952 | − | 241.613i | −0.446389 | − | 0.759790i | ||||
\(319\) | 514.251 | + | 90.6763i | 1.61207 | + | 0.284252i | ||||
\(320\) | 24.0144 | + | 277.413i | 0.0750449 | + | 0.866917i | ||||
\(321\) | −7.59594 | + | 211.561i | −0.0236634 | + | 0.659069i | ||||
\(322\) | −240.486 | − | 377.615i | −0.746852 | − | 1.17272i | ||||
\(323\) | 314.391i | 0.973346i | ||||||||
\(324\) | −177.612 | + | 270.980i | −0.548185 | + | 0.836357i | ||||
\(325\) | 49.7616 | 0.153113 | ||||||||
\(326\) | −453.446 | + | 288.780i | −1.39094 | + | 0.885827i | ||||
\(327\) | −267.797 | − | 9.61505i | −0.818951 | − | 0.0294038i | ||||
\(328\) | −257.688 | + | 133.994i | −0.785634 | + | 0.408518i | ||||
\(329\) | −35.1923 | + | 199.585i | −0.106967 | + | 0.606643i | ||||
\(330\) | −379.197 | + | 222.785i | −1.14908 | + | 0.675105i | ||||
\(331\) | −178.560 | − | 212.799i | −0.539455 | − | 0.642898i | 0.425610 | − | 0.904907i | \(-0.360059\pi\) |
−0.965065 | + | 0.262009i | \(0.915615\pi\) | |||||||
\(332\) | −208.531 | − | 208.658i | −0.628105 | − | 0.628488i | ||||
\(333\) | 203.875 | − | 300.981i | 0.612239 | − | 0.903846i | ||||
\(334\) | −16.5535 | − | 39.9809i | −0.0495613 | − | 0.119703i | ||||
\(335\) | 325.125 | − | 57.3283i | 0.970522 | − | 0.171129i | ||||
\(336\) | 100.761 | − | 470.355i | 0.299882 | − | 1.39987i | ||||
\(337\) | 524.664 | − | 190.962i | 1.55687 | − | 0.566653i | 0.586850 | − | 0.809696i | \(-0.300368\pi\) |
0.970015 | + | 0.243043i | \(0.0781457\pi\) | |||||||
\(338\) | 194.180 | + | 61.2572i | 0.574496 | + | 0.181234i | ||||
\(339\) | −49.4757 | + | 231.646i | −0.145946 | + | 0.683321i | ||||
\(340\) | −418.469 | + | 194.980i | −1.23079 | + | 0.573470i | ||||
\(341\) | 169.394 | − | 293.399i | 0.496757 | − | 0.860408i | ||||
\(342\) | 181.655 | + | 111.848i | 0.531154 | + | 0.327040i | ||||
\(343\) | −21.0731 | + | 12.1666i | −0.0614376 | + | 0.0354710i | ||||
\(344\) | −196.400 | + | 61.8256i | −0.570929 | + | 0.179726i | ||||
\(345\) | 179.269 | + | 229.919i | 0.519621 | + | 0.666433i | ||||
\(346\) | −172.746 | + | 158.244i | −0.499267 | + | 0.457354i | ||||
\(347\) | −288.093 | + | 343.336i | −0.830241 | + | 0.989442i | 0.169752 | + | 0.985487i | \(0.445703\pi\) |
−0.999992 | + | 0.00395526i | \(0.998741\pi\) | |||||||
\(348\) | 272.345 | − | 253.311i | 0.782600 | − | 0.727904i | ||||
\(349\) | 479.457 | + | 174.508i | 1.37380 | + | 0.500023i | 0.920294 | − | 0.391228i | \(-0.127950\pi\) |
0.453509 | + | 0.891252i | \(0.350172\pi\) | |||||||
\(350\) | 74.0836 | − | 96.5170i | 0.211667 | − | 0.275763i | ||||
\(351\) | 214.906 | − | 52.9100i | 0.612268 | − | 0.150741i | ||||
\(352\) | 70.7773 | − | 534.452i | 0.201072 | − | 1.51833i | ||||
\(353\) | −194.831 | − | 70.9126i | −0.551928 | − | 0.200885i | 0.0509748 | − | 0.998700i | \(-0.483767\pi\) |
−0.602903 | + | 0.797814i | \(0.705989\pi\) | |||||||
\(354\) | 77.4890 | + | 207.973i | 0.218896 | + | 0.587495i | ||||
\(355\) | −56.4128 | + | 67.2302i | −0.158909 | + | 0.189381i | ||||
\(356\) | 299.728 | − | 26.1305i | 0.841933 | − | 0.0734004i | ||||
\(357\) | 789.875 | − | 110.219i | 2.21254 | − | 0.308736i | ||||
\(358\) | −1.74663 | − | 40.1451i | −0.00487885 | − | 0.112137i | ||||
\(359\) | −52.8592 | + | 30.5183i | −0.147240 | + | 0.0850091i | −0.571810 | − | 0.820386i | \(-0.693759\pi\) |
0.424570 | + | 0.905395i | \(0.360425\pi\) | |||||||
\(360\) | −36.2157 | + | 311.157i | −0.100599 | + | 0.864324i | ||||
\(361\) | −110.271 | + | 190.995i | −0.305460 | + | 0.529073i | ||||
\(362\) | 178.517 | − | 342.799i | 0.493140 | − | 0.946959i | ||||
\(363\) | 464.749 | − | 150.502i | 1.28030 | − | 0.414605i | ||||
\(364\) | −269.221 | + | 188.388i | −0.739618 | + | 0.517550i | ||||
\(365\) | 411.007 | − | 149.594i | 1.12605 | − | 0.409847i | ||||
\(366\) | −359.779 | − | 127.864i | −0.983003 | − | 0.349356i | ||||
\(367\) | −258.395 | + | 45.5620i | −0.704073 | + | 0.124147i | −0.514211 | − | 0.857664i | \(-0.671915\pi\) |
−0.189862 | + | 0.981811i | \(0.560804\pi\) | |||||||
\(368\) | −357.388 | − | 0.218360i | −0.971164 | − | 0.000593369i | ||||
\(369\) | −314.268 | + | 89.4470i | −0.851674 | + | 0.242404i | ||||
\(370\) | 45.9302 | − | 348.463i | 0.124136 | − | 0.941793i | ||||
\(371\) | 300.853 | + | 358.542i | 0.810924 | + | 0.966421i | ||||
\(372\) | −94.0012 | − | 222.248i | −0.252691 | − | 0.597441i | ||||
\(373\) | −96.1685 | + | 545.399i | −0.257824 | + | 1.46219i | 0.530893 | + | 0.847439i | \(0.321857\pi\) |
−0.788717 | + | 0.614756i | \(0.789254\pi\) | |||||||
\(374\) | 872.685 | − | 193.330i | 2.33338 | − | 0.516925i | ||||
\(375\) | −215.244 | + | 343.711i | −0.573984 | + | 0.916562i | ||||
\(376\) | 119.231 | + | 109.355i | 0.317103 | + | 0.290839i | ||||
\(377\) | −254.070 | −0.673926 | ||||||||
\(378\) | 217.322 | − | 495.600i | 0.574926 | − | 1.31111i | ||||
\(379\) | − | 61.8712i | − | 0.163249i | −0.996663 | − | 0.0816243i | \(-0.973989\pi\) | ||
0.996663 | − | 0.0816243i | \(-0.0260107\pi\) | |||||||
\(380\) | 205.463 | + | 18.0389i | 0.540693 | + | 0.0474709i | ||||
\(381\) | 251.374 | − | 133.341i | 0.659774 | − | 0.349977i | ||||
\(382\) | 500.237 | − | 110.820i | 1.30952 | − | 0.290104i | ||||
\(383\) | 356.264 | + | 62.8189i | 0.930193 | + | 0.164018i | 0.618159 | − | 0.786053i | \(-0.287879\pi\) |
0.312034 | + | 0.950071i | \(0.398990\pi\) | |||||||
\(384\) | −273.335 | − | 269.710i | −0.711811 | − | 0.702371i | ||||
\(385\) | 562.710 | − | 472.170i | 1.46158 | − | 1.22641i | ||||
\(386\) | −74.0730 | + | 561.977i | −0.191899 | + | 1.45590i | ||||
\(387\) | −230.417 | + | 23.7602i | −0.595392 | + | 0.0613959i | ||||
\(388\) | −280.652 | − | 75.2925i | −0.723331 | − | 0.194053i | ||||
\(389\) | −51.9683 | − | 294.727i | −0.133595 | − | 0.757653i | −0.975828 | − | 0.218540i | \(-0.929871\pi\) |
0.842233 | − | 0.539113i | \(-0.181241\pi\) | |||||||
\(390\) | 162.873 | − | 138.788i | 0.417624 | − | 0.355866i | ||||
\(391\) | −202.661 | − | 556.805i | −0.518313 | − | 1.42405i | ||||
\(392\) | −18.1345 | + | 411.025i | −0.0462614 | + | 1.04853i | ||||
\(393\) | 22.7136 | − | 25.1763i | 0.0577955 | − | 0.0640617i | ||||
\(394\) | 262.391 | − | 503.861i | 0.665967 | − | 1.27883i | ||||
\(395\) | 328.158 | + | 189.462i | 0.830778 | + | 0.479650i | ||||
\(396\) | 198.761 | − | 573.015i | 0.501922 | − | 1.44701i | ||||
\(397\) | 197.081 | + | 341.354i | 0.496425 | + | 0.859833i | 0.999991 | − | 0.00412318i | \(-0.00131245\pi\) |
−0.503567 | + | 0.863956i | \(0.667979\pi\) | |||||||
\(398\) | −11.9106 | − | 273.757i | −0.0299261 | − | 0.687831i | ||||
\(399\) | −330.229 | − | 133.799i | −0.827641 | − | 0.335335i | ||||
\(400\) | −33.1644 | − | 91.2920i | −0.0829111 | − | 0.228230i | ||||
\(401\) | −33.5438 | − | 28.1466i | −0.0836503 | − | 0.0701909i | 0.600004 | − | 0.799997i | \(-0.295166\pi\) |
−0.683654 | + | 0.729806i | \(0.739610\pi\) | |||||||
\(402\) | −289.994 | + | 350.979i | −0.721378 | + | 0.873081i | ||||
\(403\) | −56.3780 | + | 154.897i | −0.139896 | + | 0.384360i | ||||
\(404\) | 54.4963 | + | 203.632i | 0.134892 | + | 0.504039i | ||||
\(405\) | −110.218 | + | 334.736i | −0.272143 | + | 0.826507i | ||||
\(406\) | −378.251 | + | 492.791i | −0.931654 | + | 1.21377i | ||||
\(407\) | −232.747 | + | 639.468i | −0.571861 | + | 1.57117i | ||||
\(408\) | 264.853 | − | 578.956i | 0.649150 | − | 1.41901i | ||||
\(409\) | −318.044 | − | 266.870i | −0.777613 | − | 0.652495i | 0.165033 | − | 0.986288i | \(-0.447227\pi\) |
−0.942646 | + | 0.333793i | \(0.891671\pi\) | |||||||
\(410\) | −232.950 | + | 213.393i | −0.568170 | + | 0.520472i | ||||
\(411\) | 436.434 | + | 176.830i | 1.06188 | + | 0.430243i | ||||
\(412\) | 99.9290 | − | 142.621i | 0.242546 | − | 0.346166i | ||||
\(413\) | −185.346 | − | 321.028i | −0.448778 | − | 0.777307i | ||||
\(414\) | −393.820 | − | 80.9922i | −0.951256 | − | 0.195633i | ||||
\(415\) | −277.880 | − | 160.434i | −0.669590 | − | 0.386588i | ||||
\(416\) | 11.2416 | + | 262.069i | 0.0270232 | + | 0.629972i | ||||
\(417\) | −353.897 | + | 392.267i | −0.848675 | + | 0.940689i | ||||
\(418\) | −380.834 | − | 120.140i | −0.911086 | − | 0.287417i | ||||
\(419\) | 21.7249 | + | 59.6886i | 0.0518493 | + | 0.142455i | 0.962914 | − | 0.269809i | \(-0.0869605\pi\) |
−0.911065 | + | 0.412264i | \(0.864738\pi\) | |||||||
\(420\) | −26.7099 | − | 522.530i | −0.0635951 | − | 1.24412i | ||||
\(421\) | 108.764 | + | 616.830i | 0.258346 | + | 1.46515i | 0.787335 | + | 0.616525i | \(0.211460\pi\) |
−0.528989 | + | 0.848629i | \(0.677429\pi\) | |||||||
\(422\) | 141.286 | + | 341.242i | 0.334801 | + | 0.808630i | ||||
\(423\) | 106.693 | + | 147.458i | 0.252228 | + | 0.348601i | ||||
\(424\) | 370.462 | − | 48.5995i | 0.873731 | − | 0.114622i | ||||
\(425\) | 123.362 | − | 103.513i | 0.290264 | − | 0.243560i | ||||
\(426\) | −0.918810 | − | 121.027i | −0.00215683 | − | 0.284100i | ||||
\(427\) | 628.047 | + | 110.742i | 1.47084 | + | 0.259348i | ||||
\(428\) | −255.781 | − | 119.368i | −0.597619 | − | 0.278896i | ||||
\(429\) | −366.000 | + | 194.145i | −0.853147 | + | 0.452552i | ||||
\(430\) | −188.903 | + | 120.304i | −0.439309 | + | 0.279776i | ||||
\(431\) | 127.048i | 0.294775i | 0.989079 | + | 0.147388i | \(0.0470865\pi\) | ||||
−0.989079 | + | 0.147388i | \(0.952914\pi\) | |||||||
\(432\) | −240.296 | − | 359.001i | −0.556240 | − | 0.831022i | ||||
\(433\) | 587.542 | 1.35691 | 0.678454 | − | 0.734642i | \(-0.262650\pi\) | ||||
0.678454 | + | 0.734642i | \(0.262650\pi\) | |||||||
\(434\) | 216.503 | + | 339.956i | 0.498855 | + | 0.783309i | ||||
\(435\) | 214.719 | − | 342.873i | 0.493607 | − | 0.788213i | ||||
\(436\) | 151.097 | − | 323.771i | 0.346554 | − | 0.742594i | ||||
\(437\) | −45.9688 | + | 260.702i | −0.105192 | + | 0.596573i | ||||
\(438\) | −297.615 | + | 524.642i | −0.679486 | + | 1.19781i | ||||
\(439\) | −277.190 | − | 330.342i | −0.631412 | − | 0.752488i | 0.351576 | − | 0.936159i | \(-0.385646\pi\) |
−0.982988 | + | 0.183672i | \(0.941202\pi\) | |||||||
\(440\) | −76.2740 | − | 581.417i | −0.173350 | − | 1.32140i | ||||
\(441\) | −112.856 | + | 448.884i | −0.255910 | + | 1.01788i | ||||
\(442\) | −401.822 | + | 166.368i | −0.909100 | + | 0.376399i | ||||
\(443\) | −774.476 | + | 136.561i | −1.74825 | + | 0.308264i | −0.954107 | − | 0.299465i | \(-0.903192\pi\) |
−0.794145 | + | 0.607729i | \(0.792081\pi\) | |||||||
\(444\) | 263.467 | + | 406.850i | 0.593394 | + | 0.916328i | ||||
\(445\) | 307.515 | − | 111.926i | 0.691045 | − | 0.251520i | ||||
\(446\) | 131.388 | − | 416.487i | 0.294592 | − | 0.933828i | ||||
\(447\) | −281.076 | + | 91.0220i | −0.628806 | + | 0.203629i | ||||
\(448\) | 525.041 | + | 368.355i | 1.17197 | + | 0.822221i | ||||
\(449\) | −242.525 | + | 420.066i | −0.540145 | + | 0.935559i | 0.458750 | + | 0.888566i | \(0.348297\pi\) |
−0.998895 | + | 0.0469939i | \(0.985036\pi\) | |||||||
\(450\) | −15.9224 | − | 108.104i | −0.0353830 | − | 0.240232i | ||||
\(451\) | 529.708 | − | 305.827i | 1.17452 | − | 0.678109i | ||||
\(452\) | −258.655 | − | 181.230i | −0.572246 | − | 0.400952i | ||||
\(453\) | 2.32167 | − | 0.323964i | 0.00512509 | − | 0.000715152i | ||||
\(454\) | −409.590 | − | 447.126i | −0.902181 | − | 0.984860i | ||||
\(455\) | −229.735 | + | 273.788i | −0.504913 | + | 0.601732i | ||||
\(456\) | −231.801 | + | 164.839i | −0.508336 | + | 0.361489i | ||||
\(457\) | −813.496 | − | 296.088i | −1.78008 | − | 0.647896i | −0.999746 | − | 0.0225304i | \(-0.992828\pi\) |
−0.780332 | − | 0.625365i | \(-0.784950\pi\) | |||||||
\(458\) | 491.656 | + | 377.380i | 1.07348 | + | 0.823974i | ||||
\(459\) | 422.703 | − | 578.210i | 0.920922 | − | 1.25972i | ||||
\(460\) | −375.516 | + | 100.496i | −0.816339 | + | 0.218470i | ||||
\(461\) | −652.111 | − | 237.349i | −1.41456 | − | 0.514857i | −0.482094 | − | 0.876120i | \(-0.660124\pi\) |
−0.932464 | + | 0.361263i | \(0.882346\pi\) | |||||||
\(462\) | −168.329 | + | 998.926i | −0.364348 | + | 2.16218i | ||||
\(463\) | −438.512 | + | 522.598i | −0.947111 | + | 1.12872i | 0.0444414 | + | 0.999012i | \(0.485849\pi\) |
−0.991552 | + | 0.129710i | \(0.958595\pi\) | |||||||
\(464\) | 169.329 | + | 466.113i | 0.364933 | + | 1.00455i | ||||
\(465\) | −161.391 | − | 206.990i | −0.347077 | − | 0.445139i | ||||
\(466\) | 86.9521 | − | 3.78310i | 0.186592 | − | 0.00811825i | ||||
\(467\) | 388.222 | − | 224.140i | 0.831310 | − | 0.479957i | −0.0229910 | − | 0.999736i | \(-0.507319\pi\) |
0.854301 | + | 0.519779i | \(0.173986\pi\) | |||||||
\(468\) | −46.8250 | + | 291.359i | −0.100053 | + | 0.622563i | ||||
\(469\) | 380.214 | − | 658.549i | 0.810690 | − | 1.40416i | ||||
\(470\) | 156.078 | + | 81.2796i | 0.332082 | + | 0.172935i | ||||
\(471\) | −111.478 | + | 521.941i | −0.236684 | + | 1.10816i | ||||
\(472\) | −295.632 | − | 13.0433i | −0.626340 | − | 0.0276342i | ||||
\(473\) | 407.463 | − | 148.305i | 0.861445 | − | 0.313540i | ||||
\(474\) | −513.915 | + | 94.6454i | −1.08421 | + | 0.199674i | ||||
\(475\) | −70.8524 | + | 12.4932i | −0.149163 | + | 0.0263015i | ||||
\(476\) | −275.534 | + | 1027.05i | −0.578854 | + | 2.15767i | ||||
\(477\) | 419.258 | + | 30.1452i | 0.878948 | + | 0.0631974i | ||||
\(478\) | −660.635 | − | 87.0770i | −1.38208 | − | 0.182169i | ||||
\(479\) | −370.059 | − | 441.020i | −0.772567 | − | 0.920709i | 0.226006 | − | 0.974126i | \(-0.427433\pi\) |
−0.998572 | + | 0.0534168i | \(0.982989\pi\) | |||||||
\(480\) | −363.167 | − | 206.308i | −0.756599 | − | 0.429808i | ||||
\(481\) | 57.4954 | − | 326.073i | 0.119533 | − | 0.677905i | ||||
\(482\) | −150.034 | − | 677.251i | −0.311275 | − | 1.40509i | ||||
\(483\) | 671.104 | + | 24.0955i | 1.38945 | + | 0.0498871i | ||||
\(484\) | −56.9669 | + | 648.851i | −0.117700 | + | 1.34060i | ||||
\(485\) | −316.060 | −0.651670 | ||||||||
\(486\) | −183.708 | − | 449.942i | −0.378000 | − | 0.925806i | ||||
\(487\) | 109.976i | 0.225824i | 0.993605 | + | 0.112912i | \(0.0360178\pi\) | ||||
−0.993605 | + | 0.112912i | \(0.963982\pi\) | |||||||
\(488\) | 344.115 | − | 375.190i | 0.705153 | − | 0.768832i | ||||
\(489\) | 28.9342 | − | 805.872i | 0.0591702 | − | 1.64800i | ||||
\(490\) | 96.7914 | + | 436.913i | 0.197533 | + | 0.891660i | ||||
\(491\) | −382.906 | − | 67.5166i | −0.779849 | − | 0.137508i | −0.230467 | − | 0.973080i | \(-0.574025\pi\) |
−0.549381 | + | 0.835572i | \(0.685137\pi\) | |||||||
\(492\) | 53.6510 | − | 432.349i | 0.109047 | − | 0.878758i | ||||
\(493\) | −629.855 | + | 528.511i | −1.27760 | + | 1.07203i | ||||
\(494\) | 192.631 | + | 25.3903i | 0.389942 | + | 0.0513974i | ||||
\(495\) | 47.3109 | − | 658.000i | 0.0955777 | − | 1.32929i | ||||
\(496\) | 321.746 | + | 0.196583i | 0.648682 | + | 0.000396337i | ||||
\(497\) | 35.1026 | + | 199.077i | 0.0706290 | + | 0.400557i | ||||
\(498\) | 435.177 | − | 80.1446i | 0.873850 | − | 0.160933i | ||||
\(499\) | 36.1272 | + | 99.2586i | 0.0723992 | + | 0.198915i | 0.970614 | − | 0.240642i | \(-0.0773578\pi\) |
−0.898215 | + | 0.439557i | \(0.855136\pi\) | |||||||
\(500\) | −310.013 | − | 443.032i | −0.620026 | − | 0.886065i | ||||
\(501\) | 63.4767 | + | 13.5576i | 0.126700 | + | 0.0270610i | ||||
\(502\) | −24.8803 | − | 12.9567i | −0.0495623 | − | 0.0258101i | ||||
\(503\) | −417.548 | − | 241.072i | −0.830116 | − | 0.479268i | 0.0237762 | − | 0.999717i | \(-0.492431\pi\) |
−0.853892 | + | 0.520449i | \(0.825764\pi\) | |||||||
\(504\) | 495.406 | + | 524.588i | 0.982948 | + | 1.04085i | ||||
\(505\) | 114.642 | + | 198.566i | 0.227015 | + | 0.393201i | ||||
\(506\) | 751.924 | − | 32.7147i | 1.48602 | − | 0.0646535i | ||||
\(507\) | −240.858 | + | 187.798i | −0.475065 | + | 0.370411i | ||||
\(508\) | 32.9514 | + | 377.967i | 0.0648650 | + | 0.744029i | ||||
\(509\) | −466.979 | − | 391.842i | −0.917443 | − | 0.769826i | 0.0560770 | − | 0.998426i | \(-0.482141\pi\) |
−0.973520 | + | 0.228600i | \(0.926585\pi\) | |||||||
\(510\) | 115.070 | − | 682.868i | 0.225627 | − | 1.33896i | ||||
\(511\) | 344.567 | − | 946.690i | 0.674299 | − | 1.85262i | ||||
\(512\) | 473.295 | − | 195.283i | 0.924405 | − | 0.381413i | ||||
\(513\) | −292.708 | + | 129.290i | −0.570580 | + | 0.252027i | ||||
\(514\) | 269.253 | + | 206.670i | 0.523839 | + | 0.402083i | ||||
\(515\) | 64.7845 | − | 177.994i | 0.125795 | − | 0.345619i | ||||
\(516\) | 90.6797 | − | 295.240i | 0.175736 | − | 0.572170i | ||||
\(517\) | −260.999 | − | 219.004i | −0.504833 | − | 0.423605i | ||||
\(518\) | −546.849 | − | 596.964i | −1.05569 | − | 1.15244i | ||||
\(519\) | −48.5644 | − | 348.034i | −0.0935730 | − | 0.670585i | ||||
\(520\) | 85.6708 | + | 272.148i | 0.164752 | + | 0.523361i | ||||
\(521\) | −96.1278 | − | 166.498i | −0.184506 | − | 0.319575i | 0.758904 | − | 0.651203i | \(-0.225735\pi\) |
−0.943410 | + | 0.331628i | \(0.892402\pi\) | |||||||
\(522\) | 81.2955 | + | 551.952i | 0.155739 | + | 1.05738i | ||||
\(523\) | −261.108 | − | 150.751i | −0.499250 | − | 0.288242i | 0.229154 | − | 0.973390i | \(-0.426404\pi\) |
−0.728404 | + | 0.685148i | \(0.759738\pi\) | |||||||
\(524\) | 19.0943 | + | 40.9806i | 0.0364396 | + | 0.0782073i | ||||
\(525\) | 56.2272 | + | 173.630i | 0.107100 | + | 0.330723i | ||||
\(526\) | −195.345 | + | 619.225i | −0.371378 | + | 1.17723i | ||||
\(527\) | 182.449 | + | 501.276i | 0.346204 | + | 0.951188i | ||||
\(528\) | 600.102 | + | 542.068i | 1.13656 | + | 1.02664i | ||||
\(529\) | 5.22135 | + | 29.6117i | 0.00987022 | + | 0.0559768i | ||||
\(530\) | 375.492 | − | 155.467i | 0.708475 | − | 0.293333i | ||||
\(531\) | −322.862 | − | 81.1726i | −0.608027 | − | 0.152867i | ||||
\(532\) | 336.030 | − | 335.825i | 0.631635 | − | 0.631250i | ||||
\(533\) | −227.976 | + | 191.295i | −0.427723 | + | 0.358902i | ||||
\(534\) | −222.675 | + | 392.537i | −0.416995 | + | 0.735088i | ||||
\(535\) | −302.353 | − | 53.3130i | −0.565146 | − | 0.0996504i | ||||
\(536\) | −280.055 | − | 538.583i | −0.522490 | − | 1.00482i | ||||
\(537\) | 51.0843 | + | 31.9908i | 0.0951291 | + | 0.0595733i | ||||
\(538\) | 301.982 | + | 474.176i | 0.561304 | + | 0.881368i | ||||
\(539\) | − | 866.433i | − | 1.60748i | ||||||
\(540\) | −353.623 | − | 309.425i | −0.654857 | − | 0.573008i | ||||
\(541\) | −53.7516 | −0.0993561 | −0.0496780 | − | 0.998765i | \(-0.515820\pi\) | ||||
−0.0496780 | + | 0.998765i | \(0.515820\pi\) | |||||||
\(542\) | 457.030 | − | 291.062i | 0.843228 | − | 0.537014i | ||||
\(543\) | 271.671 | + | 512.151i | 0.500314 | + | 0.943188i | ||||
\(544\) | 573.018 | + | 626.299i | 1.05334 | + | 1.15128i | ||||
\(545\) | 67.4844 | − | 382.723i | 0.123825 | − | 0.702244i | ||||
\(546\) | −3.74176 | − | 492.868i | −0.00685304 | − | 0.902688i | ||||
\(547\) | 309.469 | + | 368.810i | 0.565756 | + | 0.674242i | 0.970754 | − | 0.240076i | \(-0.0771723\pi\) |
−0.404998 | + | 0.914318i | \(0.632728\pi\) | |||||||
\(548\) | −444.101 | + | 443.830i | −0.810403 | + | 0.809908i | ||||
\(549\) | 464.015 | − | 335.736i | 0.845200 | − | 0.611540i | ||||
\(550\) | 78.2482 | + | 188.990i | 0.142269 | + | 0.343617i | ||||
\(551\) | 361.754 | − | 63.7870i | 0.656541 | − | 0.115766i | ||||
\(552\) | 304.277 | − | 441.362i | 0.551226 | − | 0.799569i | ||||
\(553\) | 820.156 | − | 298.512i | 1.48310 | − | 0.539806i | ||||
\(554\) | −201.677 | − | 63.6225i | −0.364039 | − | 0.114842i | ||||
\(555\) | 391.451 | + | 353.161i | 0.705317 | + | 0.636326i | ||||
\(556\) | −297.506 | − | 638.513i | −0.535083 | − | 1.14840i | ||||
\(557\) | 220.981 | − | 382.751i | 0.396735 | − | 0.687165i | −0.596586 | − | 0.802549i | \(-0.703477\pi\) |
0.993321 | + | 0.115384i | \(0.0368100\pi\) | |||||||
\(558\) | 354.545 | + | 72.9150i | 0.635385 | + | 0.130672i | ||||
\(559\) | −182.710 | + | 105.488i | −0.326852 | + | 0.188708i | ||||
\(560\) | 655.398 | + | 238.999i | 1.17035 | + | 0.426784i | ||||
\(561\) | −503.480 | + | 1242.64i | −0.897469 | + | 2.21505i | ||||
\(562\) | 125.006 | − | 114.512i | 0.222431 | − | 0.203758i | ||||
\(563\) | 539.434 | − | 642.872i | 0.958142 | − | 1.14187i | −0.0316719 | − | 0.999498i | \(-0.510083\pi\) |
0.989813 | − | 0.142370i | \(-0.0454724\pi\) | |||||||
\(564\) | −236.529 | + | 54.2862i | −0.419377 | + | 0.0962521i | ||||
\(565\) | −322.808 | − | 117.492i | −0.571341 | − | 0.207951i | ||||
\(566\) | −392.741 | + | 511.668i | −0.693889 | + | 0.904008i | ||||
\(567\) | 427.444 | + | 690.073i | 0.753870 | + | 1.21706i | ||||
\(568\) | 149.061 | + | 61.8232i | 0.262432 | + | 0.108844i | ||||
\(569\) | 1001.95 | + | 364.680i | 1.76090 | + | 0.640914i | 0.999969 | − | 0.00792419i | \(-0.00252237\pi\) |
0.760927 | + | 0.648838i | \(0.224745\pi\) | |||||||
\(570\) | −197.061 | + | 238.502i | −0.345721 | + | 0.418424i | ||||
\(571\) | 421.903 | − | 502.804i | 0.738884 | − | 0.880567i | −0.257435 | − | 0.966296i | \(-0.582877\pi\) |
0.996319 | + | 0.0857285i | \(0.0273218\pi\) | |||||||
\(572\) | −47.9772 | − | 550.319i | −0.0838763 | − | 0.962095i | ||||
\(573\) | −288.603 | + | 712.302i | −0.503670 | + | 1.24311i | ||||
\(574\) | 31.6291 | + | 726.974i | 0.0551030 | + | 1.26650i | ||||
\(575\) | 117.431 | − | 67.7987i | 0.204227 | − | 0.117911i | ||||
\(576\) | 565.732 | − | 108.277i | 0.982173 | − | 0.187980i | ||||
\(577\) | −117.795 | + | 204.027i | −0.204151 | + | 0.353600i | −0.949862 | − | 0.312670i | \(-0.898777\pi\) |
0.745711 | + | 0.666270i | \(0.232110\pi\) | |||||||
\(578\) | −383.097 | + | 735.647i | −0.662797 | + | 1.27275i | ||||
\(579\) | −631.305 | − | 569.553i | −1.09034 | − | 0.983684i | ||||
\(580\) | 309.257 | + | 441.952i | 0.533202 | + | 0.761987i | ||||
\(581\) | −694.498 | + | 252.777i | −1.19535 | + | 0.435072i | ||||
\(582\) | 331.755 | − | 282.695i | 0.570026 | − | 0.485731i | ||||
\(583\) | −774.898 | + | 136.635i | −1.32916 | + | 0.234366i | ||||
\(584\) | −489.296 | − | 638.269i | −0.837836 | − | 1.09293i | ||||
\(585\) | 32.9242 | + | 319.285i | 0.0562806 | + | 0.545786i | ||||
\(586\) | 53.8423 | − | 408.490i | 0.0918810 | − | 0.697083i | ||||
\(587\) | −294.660 | − | 351.162i | −0.501976 | − | 0.598232i | 0.454245 | − | 0.890877i | \(-0.349909\pi\) |
−0.956221 | + | 0.292645i | \(0.905465\pi\) | |||||||
\(588\) | −492.389 | − | 372.037i | −0.837397 | − | 0.632716i | ||||
\(589\) | 41.3844 | − | 234.703i | 0.0702622 | − | 0.398477i | ||||
\(590\) | −314.253 | + | 69.6178i | −0.532632 | + | 0.117996i | ||||
\(591\) | 399.313 | + | 752.781i | 0.675657 | + | 1.27374i | ||||
\(592\) | −636.527 | + | 111.836i | −1.07521 | + | 0.188912i | ||||
\(593\) | 530.547 | 0.894683 | 0.447342 | − | 0.894363i | \(-0.352371\pi\) | ||||
0.447342 | + | 0.894363i | \(0.352371\pi\) | |||||||
\(594\) | 538.878 | + | 732.993i | 0.907202 | + | 1.23399i | ||||
\(595\) | 1156.63i | 1.94391i | ||||||||
\(596\) | 34.4531 | − | 392.420i | 0.0578071 | − | 0.658422i | ||||
\(597\) | 348.353 | + | 218.151i | 0.583507 | + | 0.365413i | ||||
\(598\) | −357.529 | + | 79.2049i | −0.597874 | + | 0.132450i | ||||
\(599\) | −367.257 | − | 64.7574i | −0.613118 | − | 0.108109i | −0.141538 | − | 0.989933i | \(-0.545205\pi\) |
−0.471579 | + | 0.881824i | \(0.656316\pi\) | |||||||
\(600\) | 141.001 | + | 36.6820i | 0.235001 | + | 0.0611367i | ||||
\(601\) | −335.573 | + | 281.579i | −0.558358 | + | 0.468518i | −0.877759 | − | 0.479102i | \(-0.840962\pi\) |
0.319402 | + | 0.947619i | \(0.396518\pi\) | |||||||
\(602\) | −67.4105 | + | 511.430i | −0.111978 | + | 0.849551i | ||||
\(603\) | −186.949 | − | 656.837i | −0.310032 | − | 1.08928i | ||||
\(604\) | −0.809874 | + | 3.01880i | −0.00134085 | + | 0.00499801i | ||||
\(605\) | 123.024 | + | 697.706i | 0.203346 | + | 1.15323i | ||||
\(606\) | −297.940 | − | 105.887i | −0.491651 | − | 0.174731i | ||||
\(607\) | 56.8614 | + | 156.226i | 0.0936762 | + | 0.257373i | 0.977677 | − | 0.210111i | \(-0.0673826\pi\) |
−0.884001 | + | 0.467484i | \(0.845160\pi\) | |||||||
\(608\) | −81.8014 | − | 370.320i | −0.134542 | − | 0.609080i | ||||
\(609\) | −287.082 | − | 886.509i | −0.471399 | − | 1.45568i | ||||
\(610\) | 255.767 | − | 491.141i | 0.419290 | − | 0.805149i | ||||
\(611\) | 143.564 | + | 82.8865i | 0.234965 | + | 0.135657i | ||||
\(612\) | 489.998 | + | 819.702i | 0.800650 | + | 1.33938i | ||||
\(613\) | −95.7272 | − | 165.804i | −0.156162 | − | 0.270480i | 0.777320 | − | 0.629106i | \(-0.216579\pi\) |
−0.933481 | + | 0.358626i | \(0.883245\pi\) | |||||||
\(614\) | 19.5143 | + | 448.524i | 0.0317823 | + | 0.730495i | ||||
\(615\) | −65.4893 | − | 469.325i | −0.106487 | − | 0.763131i | ||||
\(616\) | −1138.82 | − | 726.241i | −1.84873 | − | 1.17896i | ||||
\(617\) | 216.274 | + | 181.476i | 0.350526 | + | 0.294126i | 0.801001 | − | 0.598663i | \(-0.204301\pi\) |
−0.450475 | + | 0.892789i | \(0.648745\pi\) | |||||||
\(618\) | 91.2025 | + | 244.779i | 0.147577 | + | 0.396082i | ||||
\(619\) | −22.1636 | + | 60.8940i | −0.0358055 | + | 0.0983748i | −0.956307 | − | 0.292364i | \(-0.905558\pi\) |
0.920502 | + | 0.390739i | \(0.127780\pi\) | |||||||
\(620\) | 338.066 | − | 90.4739i | 0.545268 | − | 0.145926i | ||||
\(621\) | 435.061 | − | 417.663i | 0.700582 | − | 0.672566i | ||||
\(622\) | 273.544 | − | 356.377i | 0.439781 | − | 0.572953i | ||||
\(623\) | 257.805 | − | 708.313i | 0.413812 | − | 1.13694i | ||||
\(624\) | −333.344 | − | 209.036i | −0.534205 | − | 0.334993i | ||||
\(625\) | −334.289 | − | 280.502i | −0.534862 | − | 0.448803i | ||||
\(626\) | −589.308 | + | 539.835i | −0.941386 | + | 0.862357i | ||||
\(627\) | 472.382 | − | 368.319i | 0.753401 | − | 0.587430i | ||||
\(628\) | −582.798 | − | 408.345i | −0.928023 | − | 0.650231i | ||||
\(629\) | −535.754 | − | 927.954i | −0.851756 | − | 1.47528i | ||||
\(630\) | 668.297 | + | 411.482i | 1.06079 | + | 0.653146i | ||||
\(631\) | 310.209 | + | 179.099i | 0.491615 | + | 0.283834i | 0.725244 | − | 0.688492i | \(-0.241727\pi\) |
−0.233629 | + | 0.972326i | \(0.575060\pi\) | |||||||
\(632\) | 151.115 | − | 680.159i | 0.239105 | − | 1.07620i | ||||
\(633\) | −541.782 | − | 115.716i | −0.855895 | − | 0.182805i | ||||
\(634\) | −29.4469 | − | 9.28951i | −0.0464462 | − | 0.0146522i | ||||
\(635\) | 141.143 | + | 387.786i | 0.222272 | + | 0.610686i | ||||
\(636\) | −255.084 | + | 499.040i | −0.401075 | + | 0.784654i | ||||
\(637\) | 73.2040 | + | 415.161i | 0.114920 | + | 0.651744i | ||||
\(638\) | −399.515 | − | 964.932i | −0.626199 | − | 1.51243i | ||||
\(639\) | 150.308 | + | 101.814i | 0.235224 | + | 0.159334i | ||||
\(640\) | 442.182 | − | 338.548i | 0.690909 | − | 0.528981i | ||||
\(641\) | −575.070 | + | 482.541i | −0.897146 | + | 0.752795i | −0.969630 | − | 0.244575i | \(-0.921352\pi\) |
0.0724847 | + | 0.997370i | \(0.476907\pi\) | |||||||
\(642\) | 365.053 | − | 214.475i | 0.568618 | − | 0.334073i | ||||
\(643\) | 899.318 | + | 158.574i | 1.39863 | + | 0.246616i | 0.821580 | − | 0.570093i | \(-0.193093\pi\) |
0.577049 | + | 0.816709i | \(0.304204\pi\) | |||||||
\(644\) | −378.652 | + | 811.376i | −0.587970 | + | 1.25990i | ||||
\(645\) | 12.0538 | − | 335.721i | 0.0186881 | − | 0.520498i | ||||
\(646\) | 530.361 | − | 337.763i | 0.820992 | − | 0.522853i | ||||
\(647\) | 457.889i | 0.707710i | 0.935300 | + | 0.353855i | \(0.115129\pi\) | ||||
−0.935300 | + | 0.353855i | \(0.884871\pi\) | |||||||
\(648\) | 647.944 | + | 8.49752i | 0.999914 | + | 0.0131135i | ||||
\(649\) | 623.187 | 0.960227 | ||||||||
\(650\) | −53.4610 | − | 83.9452i | −0.0822477 | − | 0.129147i | ||||
\(651\) | −604.175 | − | 21.6925i | −0.928073 | − | 0.0333218i | ||||
\(652\) | 974.312 | + | 454.692i | 1.49434 | + | 0.697380i | ||||
\(653\) | 44.8800 | − | 254.527i | 0.0687289 | − | 0.389781i | −0.930967 | − | 0.365104i | \(-0.881033\pi\) |
0.999695 | − | 0.0246765i | \(-0.00785556\pi\) | |||||||
\(654\) | 271.485 | + | 462.089i | 0.415115 | + | 0.706559i | ||||
\(655\) | 31.6095 | + | 37.6707i | 0.0482587 | + | 0.0575125i | ||||
\(656\) | 502.885 | + | 290.751i | 0.766593 | + | 0.443218i | ||||
\(657\) | −395.026 | − | 813.977i | −0.601257 | − | 1.23893i | ||||
\(658\) | 374.499 | − | 155.055i | 0.569147 | − | 0.235646i | ||||
\(659\) | −773.092 | + | 136.317i | −1.17313 | + | 0.206854i | −0.726051 | − | 0.687640i | \(-0.758647\pi\) |
−0.447078 | + | 0.894495i | \(0.647535\pi\) | |||||||
\(660\) | 783.213 | + | 400.338i | 1.18669 | + | 0.606573i | ||||
\(661\) | 871.348 | − | 317.145i | 1.31823 | − | 0.479795i | 0.415337 | − | 0.909668i | \(-0.363664\pi\) |
0.902890 | + | 0.429872i | \(0.141441\pi\) | |||||||
\(662\) | −167.147 | + | 529.840i | −0.252488 | + | 0.800362i | ||||
\(663\) | 136.258 | − | 637.964i | 0.205518 | − | 0.962238i | ||||
\(664\) | −127.962 | + | 575.950i | −0.192714 | + | 0.867395i | ||||
\(665\) | 258.368 | − | 447.507i | 0.388524 | − | 0.672943i | ||||
\(666\) | −726.770 | − | 20.5710i | −1.09125 | − | 0.0308874i | ||||
\(667\) | −599.571 | + | 346.162i | −0.898907 | + | 0.518984i | ||||
\(668\) | −49.6616 | + | 70.8780i | −0.0743437 | + | 0.106105i | ||||
\(669\) | 402.800 | + | 516.606i | 0.602093 | + | 0.772206i | ||||
\(670\) | −446.005 | − | 486.878i | −0.665679 | − | 0.726684i | ||||
\(671\) | −689.152 | + | 821.299i | −1.02705 | + | 1.22399i | ||||
\(672\) | −901.715 | + | 335.344i | −1.34184 | + | 0.499024i | ||||
\(673\) | −435.450 | − | 158.491i | −0.647029 | − | 0.235499i | −0.00240244 | − | 0.999997i | \(-0.500765\pi\) |
−0.644626 | + | 0.764498i | \(0.722987\pi\) | |||||||
\(674\) | −885.811 | − | 679.921i | −1.31426 | − | 1.00879i | ||||
\(675\) | 147.105 | + | 72.2854i | 0.217934 | + | 0.107089i | ||||
\(676\) | −105.278 | − | 393.382i | −0.155736 | − | 0.581926i | ||||
\(677\) | 1255.40 | + | 456.930i | 1.85436 | + | 0.674933i | 0.982806 | + | 0.184642i | \(0.0591126\pi\) |
0.871559 | + | 0.490291i | \(0.163110\pi\) | |||||||
\(678\) | 443.928 | − | 165.404i | 0.654761 | − | 0.243958i | ||||
\(679\) | −467.946 | + | 557.676i | −0.689169 | + | 0.821320i | ||||
\(680\) | 778.499 | + | 496.460i | 1.14485 | + | 0.730088i | ||||
\(681\) | 900.829 | − | 125.701i | 1.32280 | − | 0.184583i | ||||
\(682\) | −676.936 | + | 29.4521i | −0.992575 | + | 0.0431848i | ||||
\(683\) | 608.347 | − | 351.229i | 0.890698 | − | 0.514245i | 0.0165271 | − | 0.999863i | \(-0.494739\pi\) |
0.874171 | + | 0.485619i | \(0.161406\pi\) | |||||||
\(684\) | −6.47777 | − | 426.604i | −0.00947042 | − | 0.623690i | ||||
\(685\) | −341.462 | + | 591.430i | −0.498485 | + | 0.863402i | ||||
\(686\) | 43.1641 | + | 22.4782i | 0.0629214 | + | 0.0327670i | ||||
\(687\) | −884.467 | + | 286.420i | −1.28743 | + | 0.416915i | ||||
\(688\) | 315.297 | + | 264.894i | 0.458280 | + | 0.385020i | ||||
\(689\) | 359.757 | − | 130.941i | 0.522143 | − | 0.190045i | ||||
\(690\) | 195.265 | − | 549.429i | 0.282993 | − | 0.796275i | ||||
\(691\) | 57.8084 | − | 10.1932i | 0.0836590 | − | 0.0147513i | −0.131662 | − | 0.991295i | \(-0.542031\pi\) |
0.215321 | + | 0.976543i | \(0.430920\pi\) | |||||||
\(692\) | 452.539 | + | 121.406i | 0.653957 | + | 0.175442i | ||||
\(693\) | −1090.97 | − | 1057.69i | −1.57427 | − | 1.52625i | ||||
\(694\) | 888.701 | + | 117.138i | 1.28055 | + | 0.168786i | ||||
\(695\) | −492.502 | − | 586.941i | −0.708636 | − | 0.844520i | ||||
\(696\) | −719.913 | − | 187.289i | −1.03436 | − | 0.269093i | ||||
\(697\) | −167.240 | + | 948.463i | −0.239942 | + | 1.36078i | ||||
\(698\) | −220.715 | − | 996.300i | −0.316210 | − | 1.42736i | ||||
\(699\) | −69.2905 | + | 110.646i | −0.0991280 | + | 0.158292i | ||||
\(700\) | −242.410 | − | 21.2828i | −0.346300 | − | 0.0304040i | ||||
\(701\) | −50.6411 | −0.0722413 | −0.0361206 | − | 0.999347i | \(-0.511500\pi\) | ||||
−0.0361206 | + | 0.999347i | \(0.511500\pi\) | |||||||
\(702\) | −320.139 | − | 305.692i | −0.456039 | − | 0.435459i | ||||
\(703\) | 478.709i | 0.680951i | ||||||||
\(704\) | −977.632 | + | 454.787i | −1.38868 | + | 0.646004i | ||||
\(705\) | −233.185 | + | 123.693i | −0.330759 | + | 0.175451i | ||||
\(706\) | 89.6889 | + | 404.853i | 0.127038 | + | 0.573447i | ||||
\(707\) | 520.099 | + | 91.7074i | 0.735641 | + | 0.129713i | ||||
\(708\) | 267.590 | − | 354.154i | 0.377952 | − | 0.500218i | ||||
\(709\) | −541.957 | + | 454.756i | −0.764397 | + | 0.641405i | −0.939267 | − | 0.343186i | \(-0.888494\pi\) |
0.174870 | + | 0.984591i | \(0.444049\pi\) | |||||||
\(710\) | 174.020 | + | 22.9373i | 0.245099 | + | 0.0323060i | ||||
\(711\) | 320.221 | − | 715.443i | 0.450381 | − | 1.00625i | ||||
\(712\) | −366.091 | − | 477.552i | −0.514173 | − | 0.670719i | ||||
\(713\) | 77.9982 | + | 442.350i | 0.109394 | + | 0.620406i | ||||
\(714\) | −1034.53 | − | 1214.07i | −1.44892 | − | 1.70037i | ||||
\(715\) | −205.503 | − | 564.615i | −0.287417 | − | 0.789672i | ||||
\(716\) | −65.8461 | + | 46.0760i | −0.0919639 | + | 0.0643519i | ||||
\(717\) | 669.541 | − | 742.134i | 0.933809 | − | 1.03505i | ||||
\(718\) | 108.272 | + | 56.3836i | 0.150796 | + | 0.0785287i | ||||
\(719\) | 1042.00 | + | 601.598i | 1.44923 | + | 0.836715i | 0.998436 | − | 0.0559107i | \(-0.0178062\pi\) |
0.450798 | + | 0.892626i | \(0.351140\pi\) | |||||||
\(720\) | 563.813 | − | 273.195i | 0.783073 | − | 0.379437i | ||||
\(721\) | −218.147 | − | 377.841i | −0.302561 | − | 0.524051i | ||||
\(722\) | 440.668 | − | 19.1725i | 0.610343 | − | 0.0265548i | ||||
\(723\) | 964.358 | + | 390.728i | 1.33383 | + | 0.540426i | ||||
\(724\) | −770.072 | + | 67.1355i | −1.06364 | + | 0.0927286i | ||||
\(725\) | −144.136 | − | 120.945i | −0.198809 | − | 0.166821i | ||||
\(726\) | −753.187 | − | 622.317i | −1.03745 | − | 0.857186i | ||||
\(727\) | 74.9737 | − | 205.989i | 0.103128 | − | 0.283341i | −0.877388 | − | 0.479781i | \(-0.840716\pi\) |
0.980516 | + | 0.196441i | \(0.0629383\pi\) | |||||||
\(728\) | 607.036 | + | 251.769i | 0.833841 | + | 0.345836i | ||||
\(729\) | 712.164 | + | 155.767i | 0.976905 | + | 0.213673i | ||||
\(730\) | −693.919 | − | 532.631i | −0.950574 | − | 0.729632i | ||||
\(731\) | −233.516 | + | 641.581i | −0.319448 | + | 0.877676i | ||||
\(732\) | 170.826 | + | 744.298i | 0.233368 | + | 1.01680i | ||||
\(733\) | 18.6768 | + | 15.6717i | 0.0254799 | + | 0.0213802i | 0.655439 | − | 0.755248i | \(-0.272484\pi\) |
−0.629959 | + | 0.776629i | \(0.716928\pi\) | |||||||
\(734\) | 354.465 | + | 386.949i | 0.482922 | + | 0.527179i | ||||
\(735\) | −622.134 | − | 252.069i | −0.846440 | − | 0.342952i | ||||
\(736\) | 383.589 | + | 603.130i | 0.521180 | + | 0.819470i | ||||
\(737\) | 639.196 | + | 1107.12i | 0.867295 | + | 1.50220i | ||||
\(738\) | 488.523 | + | 434.056i | 0.661955 | + | 0.588152i | ||||
\(739\) | −223.668 | − | 129.135i | −0.302664 | − | 0.174743i | 0.340975 | − | 0.940072i | \(-0.389243\pi\) |
−0.643639 | + | 0.765329i | \(0.722576\pi\) | |||||||
\(740\) | −637.184 | + | 296.887i | −0.861059 | + | 0.401198i | ||||
\(741\) | −195.228 | + | 216.395i | −0.263466 | + | 0.292031i | ||||
\(742\) | 281.623 | − | 892.720i | 0.379546 | − | 1.20313i | ||||
\(743\) | −118.080 | − | 324.422i | −0.158923 | − | 0.436638i | 0.834518 | − | 0.550980i | \(-0.185746\pi\) |
−0.993441 | + | 0.114342i | \(0.963524\pi\) | |||||||
\(744\) | −273.932 | + | 397.345i | −0.368188 | + | 0.534066i | ||||
\(745\) | −74.4041 | − | 421.967i | −0.0998713 | − | 0.566398i | ||||
\(746\) | 1023.38 | − | 423.713i | 1.37182 | − | 0.567980i | ||||
\(747\) | −271.159 | + | 605.828i | −0.362998 | + | 0.811015i | ||||
\(748\) | −1263.70 | − | 1264.47i | −1.68944 | − | 1.69047i | ||||
\(749\) | −541.721 | + | 454.558i | −0.723259 | + | 0.606886i | ||||
\(750\) | 811.067 | − | 6.15747i | 1.08142 | − | 0.00820995i | ||||
\(751\) | 461.870 | + | 81.4402i | 0.615007 | + | 0.108442i | 0.472470 | − | 0.881347i | \(-0.343363\pi\) |
0.142538 | + | 0.989789i | \(0.454474\pi\) | |||||||
\(752\) | 56.3822 | − | 318.621i | 0.0749763 | − | 0.423698i | ||||
\(753\) | 37.1718 | − | 19.7178i | 0.0493649 | − | 0.0261856i | ||||
\(754\) | 272.958 | + | 428.603i | 0.362013 | + | 0.568439i | ||||
\(755\) | 3.39966i | 0.00450285i | ||||||||
\(756\) | −1069.53 | + | 165.833i | −1.41472 | + | 0.219356i | ||||
\(757\) | −653.653 | −0.863479 | −0.431739 | − | 0.901998i | \(-0.642100\pi\) | ||||
−0.431739 | + | 0.901998i | \(0.642100\pi\) | |||||||
\(758\) | −104.373 | + | 66.4708i | −0.137696 | + | 0.0876923i | ||||
\(759\) | −599.194 | + | 956.819i | −0.789452 | + | 1.26063i | ||||
\(760\) | −190.307 | − | 365.985i | −0.250404 | − | 0.481560i | ||||
\(761\) | 114.654 | − | 650.234i | 0.150662 | − | 0.854446i | −0.811983 | − | 0.583681i | \(-0.801612\pi\) |
0.962645 | − | 0.270766i | \(-0.0872769\pi\) | |||||||
\(762\) | −495.001 | − | 280.800i | −0.649608 | − | 0.368504i | ||||
\(763\) | −575.386 | − | 685.719i | −0.754110 | − | 0.898714i | ||||
\(764\) | −724.372 | − | 724.815i | −0.948131 | − | 0.948710i | ||||
\(765\) | 745.790 | + | 723.038i | 0.974889 | + | 0.945148i | ||||
\(766\) | −276.777 | − | 668.487i | −0.361328 | − | 0.872699i | ||||
\(767\) | −298.607 | + | 52.6525i | −0.389318 | + | 0.0686473i | ||||
\(768\) | −161.332 | + | 750.864i | −0.210067 | + | 0.977687i | ||||
\(769\) | −1263.92 | + | 460.030i | −1.64359 | + | 0.598219i | −0.987662 | − | 0.156602i | \(-0.949946\pi\) |
−0.655931 | + | 0.754821i | \(0.727724\pi\) | |||||||
\(770\) | −1401.07 | − | 441.990i | −1.81957 | − | 0.574013i | ||||
\(771\) | −484.374 | + | 156.857i | −0.628241 | + | 0.203446i | ||||
\(772\) | 1027.61 | − | 478.798i | 1.33109 | − | 0.620205i | ||||
\(773\) | −116.766 | + | 202.245i | −0.151056 | + | 0.261637i | −0.931616 | − | 0.363444i | \(-0.881601\pi\) |
0.780560 | + | 0.625081i | \(0.214934\pi\) | |||||||
\(774\) | 287.629 | + | 363.174i | 0.371613 | + | 0.469218i | ||||
\(775\) | −105.720 | + | 61.0372i | −0.136412 | + | 0.0787577i | ||||
\(776\) | 174.502 | + | 554.336i | 0.224874 | + | 0.714350i | ||||
\(777\) | 1202.71 | − | 167.825i | 1.54789 | − | 0.215991i | ||||
\(778\) | −441.357 | + | 404.305i | −0.567297 | + | 0.519673i | ||||
\(779\) | 276.574 | − | 329.609i | 0.355038 | − | 0.423117i | ||||
\(780\) | −409.109 | − | 125.653i | −0.524498 | − | 0.161094i | ||||
\(781\) | −319.346 | − | 116.233i | −0.408894 | − | 0.148825i | ||||
\(782\) | −721.574 | + | 940.077i | −0.922729 | + | 1.20214i | ||||
\(783\) | −751.081 | − | 369.070i | −0.959235 | − | 0.471354i | ||||
\(784\) | 712.860 | − | 410.989i | 0.909260 | − | 0.524221i | ||||
\(785\) | −727.346 | − | 264.732i | −0.926556 | − | 0.337239i | ||||
\(786\) | −66.8732 | − | 11.2688i | −0.0850804 | − | 0.0143369i | ||||
\(787\) | 393.189 | − | 468.584i | 0.499604 | − | 0.595405i | −0.456029 | − | 0.889965i | \(-0.650729\pi\) |
0.955633 | + | 0.294560i | \(0.0951730\pi\) | |||||||
\(788\) | −1131.88 | + | 98.6786i | −1.43640 | + | 0.125227i | ||||
\(789\) | −598.876 | − | 768.080i | −0.759032 | − | 0.973486i | ||||
\(790\) | −32.9412 | − | 757.131i | −0.0416977 | − | 0.958394i | ||||
\(791\) | −685.248 | + | 395.628i | −0.866306 | + | 0.500162i | ||||
\(792\) | −1180.18 | + | 280.315i | −1.49013 | + | 0.353933i | ||||
\(793\) | 260.824 | − | 451.760i | 0.328908 | − | 0.569685i | ||||
\(794\) | 364.114 | − | 699.195i | 0.458582 | − | 0.880599i | ||||
\(795\) | −127.330 | + | 596.159i | −0.160163 | + | 0.749886i | ||||
\(796\) | −449.017 | + | 314.201i | −0.564091 | + | 0.394724i | ||||
\(797\) | 494.327 | − | 179.920i | 0.620234 | − | 0.225747i | −0.0127409 | − | 0.999919i | \(-0.504056\pi\) |
0.632975 | + | 0.774172i | \(0.281833\pi\) | |||||||
\(798\) | 129.067 | + | 700.824i | 0.161739 | + | 0.878225i | ||||
\(799\) | 528.321 | − | 93.1573i | 0.661228 | − | 0.116592i | ||||
\(800\) | −118.375 | + | 154.025i | −0.147969 | + | 0.192532i | ||||
\(801\) | −295.558 | − | 609.017i | −0.368986 | − | 0.760321i | ||||
\(802\) | −11.4443 | + | 86.8255i | −0.0142697 | + | 0.108261i | ||||
\(803\) | 1088.67 | + | 1297.43i | 1.35575 | + | 1.61572i | ||||
\(804\) | 903.635 | + | 112.134i | 1.12392 | + | 0.139470i | ||||
\(805\) | −169.117 | + | 959.109i | −0.210083 | + | 1.19144i | ||||
\(806\) | 321.873 | − | 71.3059i | 0.399346 | − | 0.0884688i | ||||
\(807\) | −842.713 | − | 30.2570i | −1.04425 | − | 0.0374931i | ||||
\(808\) | 284.969 | − | 310.703i | 0.352684 | − | 0.384533i | ||||
\(809\) | 544.887 | 0.673531 | 0.336766 | − | 0.941588i | \(-0.390667\pi\) | ||||
0.336766 | + | 0.941588i | \(0.390667\pi\) | |||||||
\(810\) | 683.093 | − | 173.688i | 0.843325 | − | 0.214430i | ||||
\(811\) | − | 770.624i | − | 0.950214i | −0.879928 | − | 0.475107i | \(-0.842409\pi\) | ||
0.879928 | − | 0.475107i | \(-0.157591\pi\) | |||||||
\(812\) | 1237.68 | + | 108.664i | 1.52424 | + | 0.133823i | ||||
\(813\) | −29.1629 | + | 812.240i | −0.0358707 | + | 0.999065i | ||||
\(814\) | 1328.80 | − | 294.375i | 1.63243 | − | 0.361640i | ||||
\(815\) | 1151.71 | + | 203.078i | 1.41315 | + | 0.249176i | ||||
\(816\) | −1261.21 | + | 175.203i | −1.54560 | + | 0.214710i | ||||
\(817\) | 233.666 | − | 196.069i | 0.286005 | − | 0.239986i | ||||
\(818\) | −108.509 | + | 823.233i | −0.132651 | + | 1.00640i | ||||
\(819\) | 612.113 | + | 414.627i | 0.747391 | + | 0.506261i | ||||
\(820\) | 610.251 | + | 163.716i | 0.744208 | + | 0.199654i | ||||
\(821\) | 11.4448 | + | 64.9068i | 0.0139401 | + | 0.0790582i | 0.990984 | − | 0.133979i | \(-0.0427755\pi\) |
−0.977044 | + | 0.213037i | \(0.931664\pi\) | |||||||
\(822\) | −170.577 | − | 926.217i | −0.207515 | − | 1.12678i | ||||
\(823\) | 408.452 | + | 1122.21i | 0.496297 | + | 1.36356i | 0.894828 | + | 0.446410i | \(0.147298\pi\) |
−0.398531 | + | 0.917155i | \(0.630480\pi\) | |||||||
\(824\) | −347.951 | − | 15.3516i | −0.422271 | − | 0.0186306i | ||||
\(825\) | −300.054 | − | 64.0866i | −0.363702 | − | 0.0776807i | ||||
\(826\) | −342.433 | + | 657.562i | −0.414567 | + | 0.796079i | ||||
\(827\) | 956.879 | + | 552.455i | 1.15705 | + | 0.668022i | 0.950595 | − | 0.310434i | \(-0.100474\pi\) |
0.206454 | + | 0.978456i | \(0.433808\pi\) | |||||||
\(828\) | 286.467 | + | 751.367i | 0.345975 | + | 0.907447i | ||||
\(829\) | 281.510 | + | 487.590i | 0.339578 | + | 0.588167i | 0.984353 | − | 0.176205i | \(-0.0563823\pi\) |
−0.644775 | + | 0.764372i | \(0.723049\pi\) | |||||||
\(830\) | 27.8942 | + | 641.129i | 0.0336075 | + | 0.772445i | ||||
\(831\) | 250.158 | − | 195.050i | 0.301033 | − | 0.234717i | ||||
\(832\) | 430.018 | − | 300.515i | 0.516849 | − | 0.361196i | ||||
\(833\) | 1045.09 | + | 876.931i | 1.25460 | + | 1.05274i | ||||
\(834\) | 1041.94 | + | 175.577i | 1.24933 | + | 0.210524i | ||||
\(835\) | −32.1959 | + | 88.4574i | −0.0385579 | + | 0.105937i | ||||
\(836\) | 206.475 | + | 771.519i | 0.246980 | + | 0.922869i | ||||
\(837\) | −391.673 | + | 376.010i | −0.467949 | + | 0.449236i | ||||
\(838\) | 77.3515 | − | 100.775i | 0.0923049 | − | 0.120256i | ||||
\(839\) | 341.688 | − | 938.779i | 0.407256 | − | 1.11893i | −0.551371 | − | 0.834260i | \(-0.685895\pi\) |
0.958627 | − | 0.284666i | \(-0.0918828\pi\) | |||||||
\(840\) | −852.784 | + | 606.433i | −1.01522 | + | 0.721945i | ||||
\(841\) | 91.6803 | + | 76.9289i | 0.109013 | + | 0.0914731i | ||||
\(842\) | 923.710 | − | 846.165i | 1.09704 | − | 1.00495i | ||||
\(843\) | 35.1432 | + | 251.851i | 0.0416882 | + | 0.298756i | ||||
\(844\) | 423.868 | − | 604.952i | 0.502213 | − | 0.716768i | ||||
\(845\) | −221.469 | − | 383.596i | −0.262094 | − | 0.453960i | ||||
\(846\) | 134.130 | − | 338.405i | 0.158546 | − | 0.400006i | ||||
\(847\) | 1413.22 | + | 815.925i | 1.66850 | + | 0.963312i | ||||
\(848\) | −479.987 | − | 572.737i | −0.566023 | − | 0.675397i | ||||
\(849\) | −298.079 | − | 920.468i | −0.351094 | − | 1.08418i | ||||
\(850\) | −307.154 | − | 96.8969i | −0.361358 | − | 0.113996i | ||||
\(851\) | −308.582 | − | 847.823i | −0.362611 | − | 0.996266i | ||||
\(852\) | −203.178 | + | 131.574i | −0.238472 | + | 0.154429i | ||||
\(853\) | 23.3839 | + | 132.617i | 0.0274137 | + | 0.155471i | 0.995442 | − | 0.0953710i | \(-0.0304037\pi\) |
−0.968028 | + | 0.250842i | \(0.919293\pi\) | |||||||
\(854\) | −487.922 | − | 1178.46i | −0.571337 | − | 1.37993i | ||||
\(855\) | −127.039 | − | 446.344i | −0.148583 | − | 0.522039i | ||||
\(856\) | 73.4290 | + | 559.730i | 0.0857815 | + | 0.653891i | ||||
\(857\) | 219.310 | − | 184.023i | 0.255904 | − | 0.214729i | −0.505806 | − | 0.862647i | \(-0.668805\pi\) |
0.761710 | + | 0.647918i | \(0.224360\pi\) | |||||||
\(858\) | 720.721 | + | 408.845i | 0.840001 | + | 0.476509i | ||||
\(859\) | 1032.05 | + | 181.978i | 1.20145 | + | 0.211848i | 0.738326 | − | 0.674444i | \(-0.235617\pi\) |
0.463126 | + | 0.886292i | \(0.346728\pi\) | |||||||
\(860\) | 405.892 | + | 189.422i | 0.471968 | + | 0.220258i | ||||
\(861\) | −925.069 | − | 579.312i | −1.07441 | − | 0.672836i | ||||
\(862\) | 214.323 | − | 136.493i | 0.248635 | − | 0.158345i | ||||
\(863\) | − | 1607.61i | − | 1.86282i | −0.363973 | − | 0.931409i | \(-0.618580\pi\) | ||
0.363973 | − | 0.931409i | \(-0.381420\pi\) | |||||||
\(864\) | −347.457 | + | 791.056i | −0.402149 | + | 0.915574i | ||||
\(865\) | 509.631 | 0.589169 | ||||||||
\(866\) | −631.220 | − | 991.151i | −0.728892 | − | 1.14452i | ||||
\(867\) | −583.005 | − | 1099.08i | −0.672440 | − | 1.26768i | ||||
\(868\) | 340.890 | − | 730.458i | 0.392730 | − | 0.841542i | ||||
\(869\) | −254.793 | + | 1445.00i | −0.293203 | + | 1.66283i | ||||
\(870\) | −809.090 | + | 6.14245i | −0.929988 | + | 0.00706029i | ||||
\(871\) | −399.817 | − | 476.484i | −0.459032 | − | 0.547054i | ||||
\(872\) | −708.515 | + | 92.9475i | −0.812517 | + | 0.106591i | ||||
\(873\) | 67.0630 | + | 650.349i | 0.0768190 | + | 0.744959i | ||||
\(874\) | 489.177 | − | 202.536i | 0.559699 | − | 0.231735i | ||||
\(875\) | −1334.13 | + | 235.243i | −1.52472 | + | 0.268849i | ||||
\(876\) | 1204.78 | − | 61.5844i | 1.37532 | − | 0.0703019i | ||||
\(877\) | 1014.63 | − | 369.294i | 1.15693 | − | 0.421087i | 0.308929 | − | 0.951085i | \(-0.400030\pi\) |
0.847999 | + | 0.529998i | \(0.177807\pi\) | |||||||
\(878\) | −259.473 | + | 822.505i | −0.295527 | + | 0.936794i | ||||
\(879\) | 458.883 | + | 413.997i | 0.522052 | + | 0.470987i | ||||
\(880\) | −898.875 | + | 753.310i | −1.02145 | + | 0.856035i | ||||
\(881\) | 152.141 | − | 263.516i | 0.172691 | − | 0.299110i | −0.766668 | − | 0.642043i | \(-0.778087\pi\) |
0.939360 | + | 0.342933i | \(0.111420\pi\) | |||||||
\(882\) | 878.489 | − | 291.872i | 0.996019 | − | 0.330920i | ||||
\(883\) | −960.150 | + | 554.343i | −1.08737 | + | 0.627795i | −0.932876 | − | 0.360198i | \(-0.882709\pi\) |
−0.154497 | + | 0.987993i | \(0.549376\pi\) | |||||||
\(884\) | 712.349 | + | 499.116i | 0.805824 | + | 0.564611i | ||||
\(885\) | 181.303 | − | 447.474i | 0.204862 | − | 0.505620i | ||||
\(886\) | 1062.42 | + | 1159.79i | 1.19912 | + | 1.30901i | ||||
\(887\) | 215.519 | − | 256.845i | 0.242975 | − | 0.289566i | −0.630750 | − | 0.775986i | \(-0.717253\pi\) |
0.873725 | + | 0.486419i | \(0.161697\pi\) | |||||||
\(888\) | 403.280 | − | 881.550i | 0.454144 | − | 0.992737i | ||||
\(889\) | 893.205 | + | 325.100i | 1.00473 | + | 0.365692i | ||||
\(890\) | −519.190 | − | 398.514i | −0.583359 | − | 0.447769i | ||||
\(891\) | −1363.99 | + | 42.2667i | −1.53085 | + | 0.0474374i | ||||
\(892\) | −843.747 | + | 225.805i | −0.945905 | + | 0.253145i | ||||
\(893\) | −225.221 | − | 81.9736i | −0.252207 | − | 0.0917958i | ||||
\(894\) | 455.521 | + | 376.372i | 0.509531 | + | 0.420998i | ||||
\(895\) | −56.1887 | + | 66.9631i | −0.0627807 | + | 0.0748191i | ||||
\(896\) | 57.3224 | − | 1281.46i | 0.0639759 | − | 1.43020i | ||||
\(897\) | 206.270 | − | 509.095i | 0.229955 | − | 0.567553i | ||||
\(898\) | 969.184 | − | 42.1672i | 1.07927 | − | 0.0469568i | ||||
\(899\) | 539.776 | − | 311.640i | 0.600419 | − | 0.346652i | ||||
\(900\) | −165.260 | + | 143.001i | −0.183622 | + | 0.158890i | ||||
\(901\) | 619.478 | − | 1072.97i | 0.687545 | − | 1.19086i | ||||
\(902\) | −1085.00 | − | 565.027i | −1.20288 | − | 0.626415i | ||||
\(903\) | −574.522 | − | 518.324i | −0.636237 | − | 0.574003i | ||||
\(904\) | −27.8416 | + | 631.041i | −0.0307982 | + | 0.698054i | ||||
\(905\) | −790.078 | + | 287.565i | −0.873014 | + | 0.317751i | ||||
\(906\) | −3.04077 | − | 3.56848i | −0.00335626 | − | 0.00393872i | ||||
\(907\) | −187.688 | + | 33.0945i | −0.206933 | + | 0.0364878i | −0.276154 | − | 0.961114i | \(-0.589060\pi\) |
0.0692208 | + | 0.997601i | \(0.477949\pi\) | |||||||
\(908\) | −314.239 | + | 1171.32i | −0.346078 | + | 1.29000i | ||||
\(909\) | 384.260 | − | 278.030i | 0.422728 | − | 0.305863i | ||||
\(910\) | 708.680 | + | 93.4096i | 0.778769 | + | 0.102648i | ||||
\(911\) | 358.732 | + | 427.520i | 0.393778 | + | 0.469287i | 0.926112 | − | 0.377248i | \(-0.123129\pi\) |
−0.532334 | + | 0.846534i | \(0.678685\pi\) | |||||||
\(912\) | 527.108 | + | 213.943i | 0.577969 | + | 0.234587i | ||||
\(913\) | 215.756 | − | 1223.61i | 0.236315 | − | 1.34021i | ||||
\(914\) | 374.487 | + | 1690.42i | 0.409723 | + | 1.84948i | ||||
\(915\) | 389.232 | + | 733.777i | 0.425391 | + | 0.801942i | ||||
\(916\) | 108.414 | − | 1234.83i | 0.118356 | − | 1.34807i | ||||
\(917\) | 113.268 | 0.123521 | ||||||||
\(918\) | −1429.54 | − | 91.8825i | −1.55723 | − | 0.100090i | ||||
\(919\) | − | 1133.08i | − | 1.23295i | −0.787376 | − | 0.616473i | \(-0.788561\pi\) | ||
0.787376 | − | 0.616473i | \(-0.211439\pi\) | |||||||
\(920\) | 572.964 | + | 525.508i | 0.622787 | + | 0.571205i | ||||
\(921\) | −570.743 | − | 357.420i | −0.619700 | − | 0.388078i | ||||
\(922\) | 300.195 | + | 1355.07i | 0.325591 | + | 1.46971i | ||||
\(923\) | 162.839 | + | 28.7128i | 0.176423 | + | 0.0311082i | ||||
\(924\) | 1865.98 | − | 789.226i | 2.01946 | − | 0.854141i | ||||
\(925\) | 187.838 | − | 157.615i | 0.203068 | − | 0.170394i | ||||
\(926\) | 1352.71 | + | 178.298i | 1.46081 | + | 0.192546i | ||||
\(927\) | −380.000 | − | 95.5380i | −0.409925 | − | 0.103061i | ||||
\(928\) | 604.392 | − | 786.414i | 0.651284 | − | 0.847429i | ||||
\(929\) | −2.83827 | − | 16.0966i | −0.00305519 | − | 0.0173269i | 0.983242 | − | 0.182305i | \(-0.0583558\pi\) |
−0.986297 | + | 0.164978i | \(0.947245\pi\) | |||||||
\(930\) | −175.792 | + | 494.636i | −0.189023 | + | 0.531866i | ||||
\(931\) | −208.461 | − | 572.742i | −0.223911 | − | 0.615190i | ||||
\(932\) | −99.7981 | − | 142.619i | −0.107080 | − | 0.153025i | ||||
\(933\) | 207.612 | + | 641.105i | 0.222521 | + | 0.687144i | ||||
\(934\) | −795.195 | − | 414.107i | −0.851386 | − | 0.443369i | ||||
\(935\) | −1683.96 | − | 972.232i | −1.80102 | − | 1.03982i | ||||
\(936\) | 541.814 | − | 234.028i | 0.578861 | − | 0.250030i | ||||
\(937\) | −208.069 | − | 360.386i | −0.222059 | − | 0.384617i | 0.733374 | − | 0.679825i | \(-0.237944\pi\) |
−0.955433 | + | 0.295208i | \(0.904611\pi\) | |||||||
\(938\) | −1519.42 | + | 66.1067i | −1.61985 | + | 0.0704762i | ||||
\(939\) | −165.673 | − | 1187.28i | −0.176435 | − | 1.26441i | ||||
\(940\) | −30.5672 | − | 350.618i | −0.0325183 | − | 0.372998i | ||||
\(941\) | −248.379 | − | 208.415i | −0.263952 | − | 0.221482i | 0.501200 | − | 0.865331i | \(-0.332892\pi\) |
−0.765153 | + | 0.643849i | \(0.777336\pi\) | |||||||
\(942\) | 1000.25 | − | 372.686i | 1.06184 | − | 0.395632i | ||||
\(943\) | −277.360 | + | 762.040i | −0.294125 | + | 0.808102i | ||||
\(944\) | 295.607 | + | 512.729i | 0.313143 | + | 0.543145i | ||||
\(945\) | −1076.86 | + | 475.650i | −1.13953 | + | 0.503333i | ||||
\(946\) | −687.937 | − | 528.040i | −0.727206 | − | 0.558181i | ||||
\(947\) | 505.822 | − | 1389.74i | 0.534131 | − | 1.46751i | −0.319980 | − | 0.947424i | \(-0.603676\pi\) |
0.854112 | − | 0.520090i | \(-0.174101\pi\) | |||||||
\(948\) | 711.782 | + | 765.266i | 0.750825 | + | 0.807243i | ||||
\(949\) | −631.266 | − | 529.695i | −0.665191 | − | 0.558161i | ||||
\(950\) | 97.1951 | + | 106.102i | 0.102311 | + | 0.111687i | ||||
\(951\) | 36.5256 | − | 28.4792i | 0.0384075 | − | 0.0299465i | ||||
\(952\) | 2028.60 | − | 638.594i | 2.13088 | − | 0.670792i | ||||
\(953\) | −711.138 | − | 1231.73i | −0.746210 | − | 1.29247i | −0.949627 | − | 0.313382i | \(-0.898538\pi\) |
0.203417 | − | 0.979092i | \(-0.434795\pi\) | |||||||
\(954\) | −399.573 | − | 739.653i | −0.418840 | − | 0.775317i | ||||
\(955\) | −965.270 | − | 557.299i | −1.01075 | − | 0.583559i | ||||
\(956\) | 562.854 | + | 1208.01i | 0.588759 | + | 1.26361i | ||||
\(957\) | 1532.00 | + | 327.210i | 1.60083 | + | 0.341912i | ||||
\(958\) | −346.407 | + | 1098.08i | −0.361594 | + | 1.14622i | ||||
\(959\) | 538.002 | + | 1478.15i | 0.561003 | + | 1.54134i | ||||
\(960\) | 42.1350 | + | 834.289i | 0.0438906 | + | 0.869051i | ||||
\(961\) | 96.6563 | + | 548.165i | 0.100579 | + | 0.570411i | ||||
\(962\) | −611.837 | + | 253.322i | −0.636005 | + | 0.263328i | ||||
\(963\) | −45.5463 | + | 633.457i | −0.0472962 | + | 0.657795i | ||||
\(964\) | −981.299 | + | 980.699i | −1.01794 | + | 1.01732i | ||||
\(965\) | 944.607 | − | 792.620i | 0.978868 | − | 0.821368i | ||||
\(966\) | −680.347 | − | 1158.00i | −0.704293 | − | 1.19876i | ||||
\(967\) | −1199.62 | − | 211.526i | −1.24056 | − | 0.218745i | −0.485405 | − | 0.874289i | \(-0.661328\pi\) |
−0.755156 | + | 0.655545i | \(0.772439\pi\) | |||||||
\(968\) | 1155.78 | − | 600.988i | 1.19399 | − | 0.620855i | ||||
\(969\) | −33.8421 | + | 942.565i | −0.0349247 | + | 0.972719i | ||||
\(970\) | 339.556 | + | 533.176i | 0.350058 | + | 0.549666i | ||||
\(971\) | 203.866i | 0.209955i | 0.994475 | + | 0.104977i | \(0.0334770\pi\) | ||||
−0.994475 | + | 0.104977i | \(0.966523\pi\) | |||||||
\(972\) | −561.662 | + | 793.297i | −0.577842 | + | 0.816149i | ||||
\(973\) | −1764.82 | −1.81379 | ||||||||
\(974\) | 185.524 | − | 118.152i | 0.190476 | − | 0.121306i | ||||
\(975\) | 149.189 | + | 5.35651i | 0.153014 | + | 0.00549386i | ||||
\(976\) | −1002.62 | − | 177.421i | −1.02728 | − | 0.181784i | ||||
\(977\) | −65.5958 | + | 372.012i | −0.0671400 | + | 0.380770i | 0.932660 | + | 0.360757i | \(0.117482\pi\) |
−0.999800 | + | 0.0200126i | \(0.993629\pi\) | |||||||
\(978\) | −1390.55 | + | 816.971i | −1.42183 | + | 0.835349i | ||||
\(979\) | 814.542 | + | 970.733i | 0.832014 | + | 0.991556i | ||||
\(980\) | 633.063 | − | 632.676i | 0.645983 | − | 0.645588i | ||||
\(981\) | −801.839 | − | 57.6531i | −0.817369 | − | 0.0587698i | ||||
\(982\) | 297.475 | + | 718.478i | 0.302927 | + | 0.731647i | ||||
\(983\) | 215.781 | − | 38.0481i | 0.219513 | − | 0.0387061i | −0.0628098 | − | 0.998026i | \(-0.520006\pi\) |
0.282323 | + | 0.959319i | \(0.408895\pi\) | |||||||
\(984\) | −786.990 | + | 373.984i | −0.799786 | + | 0.380065i | ||||
\(985\) | −1161.29 | + | 422.675i | −1.17897 | + | 0.429112i | ||||
\(986\) | 1568.25 | + | 494.730i | 1.59052 | + | 0.501755i | ||||
\(987\) | −126.993 | + | 594.583i | −0.128666 | + | 0.602414i | ||||
\(988\) | −164.120 | − | 352.237i | −0.166113 | − | 0.356515i | ||||
\(989\) | −287.448 | + | 497.874i | −0.290645 | + | 0.503412i | ||||
\(990\) | −1160.84 | + | 627.105i | −1.17256 | + | 0.633440i | ||||
\(991\) | 1357.24 | − | 783.603i | 1.36957 | − | 0.790720i | 0.378694 | − | 0.925522i | \(-0.376373\pi\) |
0.990873 | + | 0.134802i | \(0.0430400\pi\) | |||||||
\(992\) | −345.334 | − | 542.980i | −0.348119 | − | 0.547359i | ||||
\(993\) | −512.428 | − | 657.207i | −0.516040 | − | 0.661840i | ||||
\(994\) | 298.120 | − | 273.093i | 0.299919 | − | 0.274741i | ||||
\(995\) | −383.161 | + | 456.633i | −0.385086 | + | 0.458928i | ||||
\(996\) | −602.729 | − | 648.018i | −0.605149 | − | 0.650621i | ||||
\(997\) | 136.762 | + | 49.7773i | 0.137174 | + | 0.0499271i | 0.409695 | − | 0.912223i | \(-0.365635\pi\) |
−0.272521 | + | 0.962150i | \(0.587857\pi\) | |||||||
\(998\) | 128.631 | − | 167.582i | 0.128889 | − | 0.167918i | ||||
\(999\) | 643.631 | − | 880.415i | 0.644275 | − | 0.881296i |
(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 | 108.3.j.a.31.12 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.307.23 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.31.4 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.307.31 | 204 | |||
27.7 | even | 9 | inner | 108.3.j.a.7.4 | ✓ | 204 | |
27.20 | odd | 18 | 324.3.j.a.19.31 | 204 | |||
108.7 | odd | 18 | inner | 108.3.j.a.7.12 | yes | 204 | |
108.47 | even | 18 | 324.3.j.a.19.23 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.4 | ✓ | 204 | 27.7 | even | 9 | inner | |
108.3.j.a.7.12 | yes | 204 | 108.7 | odd | 18 | inner | |
108.3.j.a.31.4 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.12 | yes | 204 | 1.1 | even | 1 | trivial | |
324.3.j.a.19.23 | 204 | 108.47 | even | 18 | |||
324.3.j.a.19.31 | 204 | 27.20 | odd | 18 | |||
324.3.j.a.307.23 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.31 | 204 | 12.11 | even | 2 |