Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(11,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.j (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 150.11 |
Dual form | 150.3.j.a.41.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.831254 | + | 1.14412i | 0.415627 | + | 0.572061i | ||||
\(3\) | 0.178022 | + | 2.99471i | 0.0593407 | + | 0.998238i | ||||
\(4\) | −0.618034 | + | 1.90211i | −0.154508 | + | 0.475528i | ||||
\(5\) | 4.93889 | − | 0.779331i | 0.987778 | − | 0.155866i | ||||
\(6\) | −3.27834 | + | 2.69305i | −0.546390 | + | 0.448841i | ||||
\(7\) | 8.16986 | 1.16712 | 0.583562 | − | 0.812069i | \(-0.301659\pi\) | ||||
0.583562 | + | 0.812069i | \(0.301659\pi\) | |||||||
\(8\) | −2.68999 | + | 0.874032i | −0.336249 | + | 0.109254i | ||||
\(9\) | −8.93662 | + | 1.06625i | −0.992957 | + | 0.118472i | ||||
\(10\) | 4.99712 | + | 5.00288i | 0.499712 | + | 0.500288i | ||||
\(11\) | 6.71524 | + | 9.24273i | 0.610476 | + | 0.840249i | 0.996617 | − | 0.0821915i | \(-0.0261919\pi\) |
−0.386140 | + | 0.922440i | \(0.626192\pi\) | |||||||
\(12\) | −5.80631 | − | 1.51222i | −0.483859 | − | 0.126018i | ||||
\(13\) | −16.0096 | − | 11.6317i | −1.23151 | − | 0.894745i | −0.234508 | − | 0.972114i | \(-0.575348\pi\) |
−0.997002 | + | 0.0773696i | \(0.975348\pi\) | |||||||
\(14\) | 6.79123 | + | 9.34733i | 0.485088 | + | 0.667666i | ||||
\(15\) | 3.21311 | + | 14.6518i | 0.214207 | + | 0.976788i | ||||
\(16\) | −3.23607 | − | 2.35114i | −0.202254 | − | 0.146946i | ||||
\(17\) | −14.3824 | + | 4.67311i | −0.846021 | + | 0.274889i | −0.699779 | − | 0.714360i | \(-0.746718\pi\) |
−0.146243 | + | 0.989249i | \(0.546718\pi\) | |||||||
\(18\) | −8.64852 | − | 9.33826i | −0.480473 | − | 0.518792i | ||||
\(19\) | −4.39373 | − | 13.5225i | −0.231249 | − | 0.711711i | −0.997597 | − | 0.0692850i | \(-0.977928\pi\) |
0.766348 | − | 0.642426i | \(-0.222072\pi\) | |||||||
\(20\) | −1.57003 | + | 9.87598i | −0.0785013 | + | 0.493799i | ||||
\(21\) | 1.45442 | + | 24.4664i | 0.0692579 | + | 1.16507i | ||||
\(22\) | −4.99275 | + | 15.3661i | −0.226943 | + | 0.698460i | ||||
\(23\) | −1.26018 | − | 1.73449i | −0.0547903 | − | 0.0754124i | 0.780743 | − | 0.624853i | \(-0.214841\pi\) |
−0.835533 | + | 0.549440i | \(0.814841\pi\) | |||||||
\(24\) | −3.09635 | − | 7.90016i | −0.129015 | − | 0.329174i | ||||
\(25\) | 23.7853 | − | 7.69806i | 0.951411 | − | 0.307922i | ||||
\(26\) | − | 27.9859i | − | 1.07638i | ||||||
\(27\) | −4.78403 | − | 26.5728i | −0.177186 | − | 0.984177i | ||||
\(28\) | −5.04925 | + | 15.5400i | −0.180330 | + | 0.555000i | ||||
\(29\) | 44.8797 | + | 14.5823i | 1.54758 | + | 0.502838i | 0.953455 | − | 0.301537i | \(-0.0974996\pi\) |
0.594122 | + | 0.804375i | \(0.297500\pi\) | |||||||
\(30\) | −14.0926 | + | 15.8556i | −0.469753 | + | 0.528519i | ||||
\(31\) | −12.3974 | − | 38.1554i | −0.399918 | − | 1.23082i | −0.925065 | − | 0.379808i | \(-0.875990\pi\) |
0.525148 | − | 0.851011i | \(-0.324010\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | −26.4839 | + | 21.7556i | −0.802542 | + | 0.659262i | ||||
\(34\) | −17.3020 | − | 12.5706i | −0.508883 | − | 0.369725i | ||||
\(35\) | 40.3501 | − | 6.36703i | 1.15286 | − | 0.181915i | ||||
\(36\) | 3.49500 | − | 17.6574i | 0.0970834 | − | 0.490484i | ||||
\(37\) | 42.2525 | + | 30.6983i | 1.14196 | + | 0.829682i | 0.987391 | − | 0.158300i | \(-0.0506012\pi\) |
0.154569 | + | 0.987982i | \(0.450601\pi\) | |||||||
\(38\) | 11.8191 | − | 16.2676i | 0.311029 | − | 0.428095i | ||||
\(39\) | 31.9835 | − | 50.0150i | 0.820089 | − | 1.28243i | ||||
\(40\) | −12.6044 | + | 6.41314i | −0.315111 | + | 0.160329i | ||||
\(41\) | 12.3449 | − | 16.9912i | 0.301094 | − | 0.414421i | −0.631484 | − | 0.775389i | \(-0.717554\pi\) |
0.932578 | + | 0.360968i | \(0.117554\pi\) | |||||||
\(42\) | −26.7836 | + | 22.0018i | −0.637704 | + | 0.523853i | ||||
\(43\) | −22.1632 | −0.515423 | −0.257712 | − | 0.966222i | \(-0.582968\pi\) | ||||
−0.257712 | + | 0.966222i | \(0.582968\pi\) | |||||||
\(44\) | −21.7310 | + | 7.06082i | −0.493886 | + | 0.160473i | ||||
\(45\) | −43.3060 | + | 12.2307i | −0.962356 | + | 0.271793i | ||||
\(46\) | 0.936937 | − | 2.88360i | 0.0203682 | − | 0.0626869i | ||||
\(47\) | 35.0106 | + | 11.3756i | 0.744906 | + | 0.242035i | 0.656788 | − | 0.754075i | \(-0.271915\pi\) |
0.0881183 | + | 0.996110i | \(0.471915\pi\) | |||||||
\(48\) | 6.46490 | − | 10.1097i | 0.134685 | − | 0.210618i | ||||
\(49\) | 17.7467 | 0.362177 | ||||||||
\(50\) | 28.5791 | + | 20.8142i | 0.571583 | + | 0.416285i | ||||
\(51\) | −16.5550 | − | 42.2391i | −0.324608 | − | 0.828218i | ||||
\(52\) | 32.0193 | − | 23.2634i | 0.615755 | − | 0.447372i | ||||
\(53\) | −70.7241 | − | 22.9797i | −1.33442 | − | 0.433579i | −0.446995 | − | 0.894536i | \(-0.647506\pi\) |
−0.887422 | + | 0.460958i | \(0.847506\pi\) | |||||||
\(54\) | 26.4258 | − | 27.5623i | 0.489366 | − | 0.510412i | ||||
\(55\) | 40.3690 | + | 40.4155i | 0.733982 | + | 0.734827i | ||||
\(56\) | −21.9769 | + | 7.14072i | −0.392444 | + | 0.127513i | ||||
\(57\) | 39.7138 | − | 15.5653i | 0.696734 | − | 0.273075i | ||||
\(58\) | 20.6225 | + | 63.4695i | 0.355560 | + | 1.09430i | ||||
\(59\) | 4.35141 | − | 5.98921i | 0.0737528 | − | 0.101512i | −0.770547 | − | 0.637383i | \(-0.780017\pi\) |
0.844300 | + | 0.535871i | \(0.180017\pi\) | |||||||
\(60\) | −29.8552 | − | 2.94364i | −0.497587 | − | 0.0490606i | ||||
\(61\) | −6.76561 | + | 4.91551i | −0.110912 | + | 0.0805821i | −0.641859 | − | 0.766823i | \(-0.721836\pi\) |
0.530947 | + | 0.847405i | \(0.321836\pi\) | |||||||
\(62\) | 33.3490 | − | 45.9010i | 0.537888 | − | 0.740339i | ||||
\(63\) | −73.0109 | + | 8.71112i | −1.15890 | + | 0.138272i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −88.1348 | − | 44.9708i | −1.35592 | − | 0.691858i | ||||
\(66\) | −46.9059 | − | 12.2164i | −0.710696 | − | 0.185096i | ||||
\(67\) | −40.3867 | − | 124.298i | −0.602787 | − | 1.85519i | −0.511341 | − | 0.859378i | \(-0.670851\pi\) |
−0.0914465 | − | 0.995810i | \(-0.529149\pi\) | |||||||
\(68\) | − | 30.2450i | − | 0.444780i | ||||||
\(69\) | 4.96995 | − | 4.08265i | 0.0720282 | − | 0.0591688i | ||||
\(70\) | 40.8258 | + | 40.8728i | 0.583226 | + | 0.583897i | ||||
\(71\) | 53.4414 | + | 17.3642i | 0.752696 | + | 0.244566i | 0.660141 | − | 0.751142i | \(-0.270497\pi\) |
0.0925552 | + | 0.995708i | \(0.470497\pi\) | |||||||
\(72\) | 23.1075 | − | 10.6791i | 0.320938 | − | 0.148321i | ||||
\(73\) | −79.1392 | + | 57.4980i | −1.08410 | + | 0.787643i | −0.978393 | − | 0.206754i | \(-0.933710\pi\) |
−0.105705 | + | 0.994398i | \(0.533710\pi\) | |||||||
\(74\) | 73.8601i | 0.998110i | ||||||||
\(75\) | 27.2878 | + | 69.8597i | 0.363837 | + | 0.931463i | ||||
\(76\) | 28.4368 | 0.374168 | ||||||||
\(77\) | 54.8626 | + | 75.5119i | 0.712501 | + | 0.980674i | ||||
\(78\) | 83.8096 | − | 4.98210i | 1.07448 | − | 0.0638731i | ||||
\(79\) | 6.64298 | − | 20.4450i | 0.0840884 | − | 0.258797i | −0.900168 | − | 0.435542i | \(-0.856557\pi\) |
0.984257 | + | 0.176745i | \(0.0565567\pi\) | |||||||
\(80\) | −17.8149 | − | 9.09006i | −0.222686 | − | 0.113626i | ||||
\(81\) | 78.7262 | − | 19.0573i | 0.971929 | − | 0.235276i | ||||
\(82\) | 29.7018 | 0.362217 | ||||||||
\(83\) | 74.5092 | − | 24.2095i | 0.897701 | − | 0.291681i | 0.176413 | − | 0.984316i | \(-0.443551\pi\) |
0.721288 | + | 0.692636i | \(0.243551\pi\) | |||||||
\(84\) | −47.4367 | − | 12.3546i | −0.564723 | − | 0.147079i | ||||
\(85\) | −67.3910 | + | 34.2886i | −0.792835 | + | 0.403395i | ||||
\(86\) | −18.4233 | − | 25.3574i | −0.214224 | − | 0.294854i | ||||
\(87\) | −35.6802 | + | 136.998i | −0.410118 | + | 1.57469i | ||||
\(88\) | −26.1424 | − | 18.9936i | −0.297073 | − | 0.215836i | ||||
\(89\) | −31.9182 | − | 43.9316i | −0.358631 | − | 0.493613i | 0.591136 | − | 0.806572i | \(-0.298680\pi\) |
−0.949767 | + | 0.312959i | \(0.898680\pi\) | |||||||
\(90\) | −49.9917 | − | 39.3806i | −0.555463 | − | 0.437562i | ||||
\(91\) | −130.797 | − | 95.0292i | −1.43732 | − | 1.04428i | ||||
\(92\) | 4.07802 | − | 1.32503i | 0.0443263 | − | 0.0144025i | ||||
\(93\) | 112.057 | − | 43.9193i | 1.20492 | − | 0.472250i | ||||
\(94\) | 16.0876 | + | 49.5125i | 0.171144 | + | 0.526728i | ||||
\(95\) | −32.2386 | − | 63.3620i | −0.339354 | − | 0.666968i | ||||
\(96\) | 16.9407 | − | 1.00705i | 0.176465 | − | 0.0104901i | ||||
\(97\) | −10.5214 | + | 32.3815i | −0.108468 | + | 0.333830i | −0.990529 | − | 0.137306i | \(-0.956156\pi\) |
0.882061 | + | 0.471136i | \(0.156156\pi\) | |||||||
\(98\) | 14.7520 | + | 20.3044i | 0.150530 | + | 0.207187i | ||||
\(99\) | −69.8666 | − | 75.4386i | −0.705723 | − | 0.762007i | ||||
\(100\) | −0.0575303 | + | 50.0000i | −0.000575303 | + | 0.500000i | ||||
\(101\) | 16.9106i | 0.167431i | 0.996490 | + | 0.0837156i | \(0.0266787\pi\) | ||||
−0.996490 | + | 0.0837156i | \(0.973321\pi\) | |||||||
\(102\) | 34.5653 | − | 54.0524i | 0.338876 | − | 0.529925i | ||||
\(103\) | −44.2048 | + | 136.048i | −0.429173 | + | 1.32086i | 0.469769 | + | 0.882789i | \(0.344337\pi\) |
−0.898942 | + | 0.438068i | \(0.855663\pi\) | |||||||
\(104\) | 53.2323 | + | 17.2962i | 0.511849 | + | 0.166310i | ||||
\(105\) | 26.2506 | + | 119.703i | 0.250006 | + | 1.14003i | ||||
\(106\) | −32.4982 | − | 100.019i | −0.306586 | − | 0.943576i | ||||
\(107\) | 85.3363i | 0.797536i | 0.917052 | + | 0.398768i | \(0.130562\pi\) | ||||
−0.917052 | + | 0.398768i | \(0.869438\pi\) | |||||||
\(108\) | 53.5011 | + | 7.32312i | 0.495381 | + | 0.0678067i | ||||
\(109\) | 11.7410 | + | 8.53034i | 0.107716 | + | 0.0782600i | 0.640339 | − | 0.768092i | \(-0.278794\pi\) |
−0.532623 | + | 0.846352i | \(0.678794\pi\) | |||||||
\(110\) | −12.6834 | + | 79.7826i | −0.115303 | + | 0.725296i | ||||
\(111\) | −84.4106 | + | 131.999i | −0.760456 | + | 1.18918i | ||||
\(112\) | −26.4382 | − | 19.2085i | −0.236056 | − | 0.171504i | ||||
\(113\) | −113.560 | + | 156.302i | −1.00496 | + | 1.38321i | −0.0827241 | + | 0.996572i | \(0.526362\pi\) |
−0.922234 | + | 0.386633i | \(0.873638\pi\) | |||||||
\(114\) | 50.8208 | + | 32.4988i | 0.445797 | + | 0.285077i | ||||
\(115\) | −7.57562 | − | 7.58434i | −0.0658750 | − | 0.0659508i | ||||
\(116\) | −55.4744 | + | 76.3539i | −0.478227 | + | 0.658224i | ||||
\(117\) | 155.474 | + | 86.8776i | 1.32884 | + | 0.742543i | ||||
\(118\) | 10.4695 | 0.0887247 | ||||||||
\(119\) | −117.502 | + | 38.1787i | −0.987411 | + | 0.320829i | ||||
\(120\) | −21.4494 | − | 36.6050i | −0.178745 | − | 0.305041i | ||||
\(121\) | −2.94264 | + | 9.05652i | −0.0243194 | + | 0.0748473i | ||||
\(122\) | −11.2479 | − | 3.65466i | −0.0921958 | − | 0.0299562i | ||||
\(123\) | 53.0816 | + | 33.9445i | 0.431558 | + | 0.275972i | ||||
\(124\) | 80.2379 | 0.647080 | ||||||||
\(125\) | 111.474 | − | 56.5565i | 0.891789 | − | 0.452452i | ||||
\(126\) | −70.6572 | − | 76.2923i | −0.560772 | − | 0.605495i | ||||
\(127\) | −0.932755 | + | 0.677686i | −0.00734453 | + | 0.00533611i | −0.591451 | − | 0.806341i | \(-0.701445\pi\) |
0.584107 | + | 0.811677i | \(0.301445\pi\) | |||||||
\(128\) | 10.7600 | + | 3.49613i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | −3.94554 | − | 66.3725i | −0.0305856 | − | 0.514515i | ||||
\(130\) | −21.8103 | − | 138.219i | −0.167771 | − | 1.06322i | ||||
\(131\) | −104.160 | + | 33.8437i | −0.795116 | + | 0.258349i | −0.678281 | − | 0.734802i | \(-0.737275\pi\) |
−0.116835 | + | 0.993151i | \(0.537275\pi\) | |||||||
\(132\) | −25.0137 | − | 63.8211i | −0.189498 | − | 0.483493i | ||||
\(133\) | −35.8961 | − | 110.477i | −0.269896 | − | 0.830654i | ||||
\(134\) | 108.640 | − | 149.530i | 0.810747 | − | 1.11590i | ||||
\(135\) | −44.3368 | − | 127.512i | −0.328421 | − | 0.944532i | ||||
\(136\) | 34.6040 | − | 25.1413i | 0.254441 | − | 0.184862i | ||||
\(137\) | −45.0126 | + | 61.9546i | −0.328559 | + | 0.452223i | −0.941056 | − | 0.338250i | \(-0.890165\pi\) |
0.612497 | + | 0.790473i | \(0.290165\pi\) | |||||||
\(138\) | 8.80234 | + | 2.29251i | 0.0637851 | + | 0.0166124i | ||||
\(139\) | 160.437 | − | 116.564i | 1.15422 | − | 0.838593i | 0.165188 | − | 0.986262i | \(-0.447177\pi\) |
0.989037 | + | 0.147669i | \(0.0471770\pi\) | |||||||
\(140\) | −12.8269 | + | 80.6854i | −0.0916207 | + | 0.576324i | ||||
\(141\) | −27.8341 | + | 106.872i | −0.197405 | + | 0.757956i | ||||
\(142\) | 24.5566 | + | 75.5776i | 0.172934 | + | 0.532237i | ||||
\(143\) | − | 226.082i | − | 1.58100i | ||||||
\(144\) | 31.4264 | + | 17.5608i | 0.218239 | + | 0.121950i | ||||
\(145\) | 233.020 | + | 37.0443i | 1.60704 | + | 0.255478i | ||||
\(146\) | −131.569 | − | 42.7495i | −0.901161 | − | 0.292805i | ||||
\(147\) | 3.15930 | + | 53.1462i | 0.0214918 | + | 0.361539i | ||||
\(148\) | −84.5050 | + | 61.3965i | −0.570980 | + | 0.414841i | ||||
\(149\) | 85.8938i | 0.576468i | 0.957560 | + | 0.288234i | \(0.0930682\pi\) | ||||
−0.957560 | + | 0.288234i | \(0.906932\pi\) | |||||||
\(150\) | −57.2450 | + | 89.2917i | −0.381633 | + | 0.595278i | ||||
\(151\) | 209.411 | 1.38683 | 0.693414 | − | 0.720540i | \(-0.256106\pi\) | ||||
0.693414 | + | 0.720540i | \(0.256106\pi\) | |||||||
\(152\) | 23.6382 | + | 32.5352i | 0.155514 | + | 0.214047i | ||||
\(153\) | 123.547 | − | 57.0970i | 0.807496 | − | 0.373183i | ||||
\(154\) | −40.7901 | + | 125.539i | −0.264871 | + | 0.815189i | ||||
\(155\) | −90.9653 | − | 178.784i | −0.586873 | − | 1.15344i | ||||
\(156\) | 75.3672 | + | 91.7471i | 0.483123 | + | 0.588123i | ||||
\(157\) | −246.358 | −1.56916 | −0.784579 | − | 0.620029i | \(-0.787121\pi\) | ||||
−0.784579 | + | 0.620029i | \(0.787121\pi\) | |||||||
\(158\) | 28.9136 | − | 9.39459i | 0.182997 | − | 0.0594595i | ||||
\(159\) | 56.2270 | − | 215.889i | 0.353629 | − | 1.35779i | ||||
\(160\) | −4.40856 | − | 27.9386i | −0.0275535 | − | 0.174616i | ||||
\(161\) | −10.2955 | − | 14.1705i | −0.0639471 | − | 0.0880156i | ||||
\(162\) | 87.2454 | + | 74.2310i | 0.538552 | + | 0.458216i | ||||
\(163\) | −10.7251 | − | 7.79226i | −0.0657984 | − | 0.0478053i | 0.554400 | − | 0.832250i | \(-0.312948\pi\) |
−0.620198 | + | 0.784445i | \(0.712948\pi\) | |||||||
\(164\) | 24.6897 | + | 33.9825i | 0.150547 | + | 0.207210i | ||||
\(165\) | −113.846 | + | 128.088i | −0.689977 | + | 0.776293i | ||||
\(166\) | 89.6347 | + | 65.1234i | 0.539968 | + | 0.392310i | ||||
\(167\) | −36.7045 | + | 11.9260i | −0.219787 | + | 0.0714132i | −0.416841 | − | 0.908980i | \(-0.636863\pi\) |
0.197053 | + | 0.980393i | \(0.436863\pi\) | |||||||
\(168\) | −25.2968 | − | 64.5433i | −0.150576 | − | 0.384186i | ||||
\(169\) | 68.7885 | + | 211.709i | 0.407033 | + | 1.25272i | ||||
\(170\) | −95.2494 | − | 48.6010i | −0.560291 | − | 0.285888i | ||||
\(171\) | 53.6834 | + | 116.161i | 0.313938 | + | 0.679302i | ||||
\(172\) | 13.6976 | − | 42.1569i | 0.0796373 | − | 0.245098i | ||||
\(173\) | −169.211 | − | 232.898i | −0.978096 | − | 1.34623i | −0.937849 | − | 0.347044i | \(-0.887185\pi\) |
−0.0402475 | − | 0.999190i | \(-0.512815\pi\) | |||||||
\(174\) | −186.402 | + | 73.0574i | −1.07127 | + | 0.419870i | ||||
\(175\) | 194.323 | − | 62.8921i | 1.11041 | − | 0.359384i | ||||
\(176\) | − | 45.6986i | − | 0.259651i | ||||||
\(177\) | 18.7106 | + | 11.9650i | 0.105710 | + | 0.0675990i | ||||
\(178\) | 23.7310 | − | 73.0366i | 0.133320 | − | 0.410318i | ||||
\(179\) | −164.926 | − | 53.5877i | −0.921375 | − | 0.299373i | −0.190344 | − | 0.981717i | \(-0.560960\pi\) |
−0.731031 | + | 0.682345i | \(0.760960\pi\) | |||||||
\(180\) | 3.50045 | − | 89.9319i | 0.0194470 | − | 0.499622i | ||||
\(181\) | −20.0567 | − | 61.7281i | −0.110810 | − | 0.341039i | 0.880240 | − | 0.474529i | \(-0.157382\pi\) |
−0.991050 | + | 0.133490i | \(0.957382\pi\) | |||||||
\(182\) | − | 228.641i | − | 1.25627i | ||||||
\(183\) | −15.9250 | − | 19.3860i | −0.0870217 | − | 0.105934i | ||||
\(184\) | 4.90587 | + | 3.56432i | 0.0266623 | + | 0.0193713i | ||||
\(185\) | 232.605 | + | 118.687i | 1.25732 | + | 0.641549i | ||||
\(186\) | 143.397 | + | 91.6994i | 0.770953 | + | 0.493008i | ||||
\(187\) | −139.773 | − | 101.551i | −0.747451 | − | 0.543055i | ||||
\(188\) | −43.2755 | + | 59.5636i | −0.230189 | + | 0.316828i | ||||
\(189\) | −39.0849 | − | 217.096i | −0.206798 | − | 1.14866i | ||||
\(190\) | 45.6954 | − | 89.5549i | 0.240502 | − | 0.471341i | ||||
\(191\) | 36.9984 | − | 50.9239i | 0.193709 | − | 0.266618i | −0.701104 | − | 0.713059i | \(-0.747309\pi\) |
0.894813 | + | 0.446442i | \(0.147309\pi\) | |||||||
\(192\) | 15.2342 | + | 18.5451i | 0.0793446 | + | 0.0965890i | ||||
\(193\) | 13.0256 | 0.0674899 | 0.0337450 | − | 0.999430i | \(-0.489257\pi\) | ||||
0.0337450 | + | 0.999430i | \(0.489257\pi\) | |||||||
\(194\) | −45.7944 | + | 14.8795i | −0.236054 | + | 0.0766985i | ||||
\(195\) | 118.985 | − | 271.944i | 0.610178 | − | 1.39459i | ||||
\(196\) | −10.9680 | + | 33.7562i | −0.0559594 | + | 0.172225i | ||||
\(197\) | −167.244 | − | 54.3408i | −0.848954 | − | 0.275842i | −0.147946 | − | 0.988995i | \(-0.547266\pi\) |
−0.701008 | + | 0.713154i | \(0.747266\pi\) | |||||||
\(198\) | 28.2342 | − | 142.645i | 0.142597 | − | 0.720427i | ||||
\(199\) | −296.281 | −1.48885 | −0.744423 | − | 0.667708i | \(-0.767276\pi\) | ||||
−0.744423 | + | 0.667708i | \(0.767276\pi\) | |||||||
\(200\) | −57.2539 | + | 41.4968i | −0.286270 | + | 0.207484i | ||||
\(201\) | 365.046 | − | 143.074i | 1.81615 | − | 0.711813i | ||||
\(202\) | −19.3478 | + | 14.0570i | −0.0957809 | + | 0.0695889i | ||||
\(203\) | 366.661 | + | 119.135i | 1.80621 | + | 0.586874i | ||||
\(204\) | 90.5751 | − | 5.38428i | 0.443996 | − | 0.0263935i | ||||
\(205\) | 47.7281 | − | 93.5387i | 0.232820 | − | 0.456286i | ||||
\(206\) | −192.401 | + | 62.5150i | −0.933988 | + | 0.303471i | ||||
\(207\) | 13.1111 | + | 14.1568i | 0.0633388 | + | 0.0683902i | ||||
\(208\) | 24.4605 | + | 75.2818i | 0.117599 | + | 0.361932i | ||||
\(209\) | 95.4800 | − | 131.417i | 0.456842 | − | 0.628789i | ||||
\(210\) | −115.134 | + | 129.538i | −0.548259 | + | 0.616847i | ||||
\(211\) | 113.481 | − | 82.4489i | 0.537826 | − | 0.390753i | −0.285451 | − | 0.958393i | \(-0.592143\pi\) |
0.823277 | + | 0.567640i | \(0.192143\pi\) | |||||||
\(212\) | 87.4198 | − | 120.323i | 0.412358 | − | 0.567562i | ||||
\(213\) | −42.4870 | + | 163.133i | −0.199469 | + | 0.765882i | ||||
\(214\) | −97.6352 | + | 70.9362i | −0.456239 | + | 0.331477i | ||||
\(215\) | −109.462 | + | 17.2725i | −0.509124 | + | 0.0803371i | ||||
\(216\) | 36.0945 | + | 67.2992i | 0.167104 | + | 0.311571i | ||||
\(217\) | −101.285 | − | 311.724i | −0.466753 | − | 1.43652i | ||||
\(218\) | 20.5240i | 0.0941469i | ||||||||
\(219\) | −186.278 | − | 226.763i | −0.850587 | − | 1.03545i | ||||
\(220\) | −101.824 | + | 51.8082i | −0.462837 | + | 0.235492i | ||||
\(221\) | 284.612 | + | 92.4762i | 1.28784 | + | 0.418444i | ||||
\(222\) | −221.190 | + | 13.1487i | −0.996351 | + | 0.0592285i | ||||
\(223\) | 184.655 | − | 134.160i | 0.828051 | − | 0.601614i | −0.0909562 | − | 0.995855i | \(-0.528992\pi\) |
0.919007 | + | 0.394241i | \(0.128992\pi\) | |||||||
\(224\) | − | 46.2157i | − | 0.206320i | ||||||
\(225\) | −204.352 | + | 94.1557i | −0.908231 | + | 0.418470i | ||||
\(226\) | −273.226 | −1.20897 | ||||||||
\(227\) | −56.8890 | − | 78.3009i | −0.250612 | − | 0.344938i | 0.665113 | − | 0.746742i | \(-0.268383\pi\) |
−0.915726 | + | 0.401804i | \(0.868383\pi\) | |||||||
\(228\) | 5.06238 | + | 85.1601i | 0.0222034 | + | 0.373509i | ||||
\(229\) | −100.673 | + | 309.839i | −0.439619 | + | 1.35301i | 0.448659 | + | 0.893703i | \(0.351902\pi\) |
−0.888278 | + | 0.459306i | \(0.848098\pi\) | |||||||
\(230\) | 2.38015 | − | 14.9720i | 0.0103485 | − | 0.0650954i | ||||
\(231\) | −216.370 | + | 177.741i | −0.936665 | + | 0.769439i | ||||
\(232\) | −133.472 | −0.575309 | ||||||||
\(233\) | −156.948 | + | 50.9955i | −0.673596 | + | 0.218865i | −0.625790 | − | 0.779992i | \(-0.715223\pi\) |
−0.0478067 | + | 0.998857i | \(0.515223\pi\) | |||||||
\(234\) | 29.8399 | + | 250.099i | 0.127521 | + | 1.06880i | ||||
\(235\) | 181.779 | + | 28.8982i | 0.773527 | + | 0.122971i | ||||
\(236\) | 8.70283 | + | 11.9784i | 0.0368764 | + | 0.0507560i | ||||
\(237\) | 62.4095 | + | 16.2542i | 0.263331 | + | 0.0685830i | ||||
\(238\) | −141.355 | − | 102.700i | −0.593929 | − | 0.431514i | ||||
\(239\) | 187.217 | + | 257.682i | 0.783334 | + | 1.07817i | 0.994906 | + | 0.100805i | \(0.0321417\pi\) |
−0.211572 | + | 0.977362i | \(0.567858\pi\) | |||||||
\(240\) | 24.0507 | − | 54.9688i | 0.100211 | − | 0.229037i | ||||
\(241\) | 242.269 | + | 176.019i | 1.00527 | + | 0.730369i | 0.963211 | − | 0.268747i | \(-0.0866095\pi\) |
0.0420552 | + | 0.999115i | \(0.486609\pi\) | |||||||
\(242\) | −12.8079 | + | 4.16152i | −0.0529250 | + | 0.0171964i | ||||
\(243\) | 71.0863 | + | 232.370i | 0.292536 | + | 0.956254i | ||||
\(244\) | −5.16847 | − | 15.9069i | −0.0211823 | − | 0.0651923i | ||||
\(245\) | 87.6488 | − | 13.8305i | 0.357750 | − | 0.0564511i | ||||
\(246\) | 5.28758 | + | 88.9484i | 0.0214942 | + | 0.361579i | ||||
\(247\) | −86.9474 | + | 267.597i | −0.352014 | + | 1.08339i | ||||
\(248\) | 66.6981 | + | 91.8021i | 0.268944 | + | 0.370170i | ||||
\(249\) | 85.7648 | + | 218.824i | 0.344437 | + | 0.878810i | ||||
\(250\) | 157.370 | + | 80.5267i | 0.629482 | + | 0.322107i | ||||
\(251\) | 299.580i | 1.19355i | 0.802410 | + | 0.596774i | \(0.203551\pi\) | ||||
−0.802410 | + | 0.596774i | \(0.796449\pi\) | |||||||
\(252\) | 28.5537 | − | 144.259i | 0.113308 | − | 0.572456i | ||||
\(253\) | 7.56900 | − | 23.2950i | 0.0299170 | − | 0.0920750i | ||||
\(254\) | −1.55071 | − | 0.503857i | −0.00610517 | − | 0.00198369i | ||||
\(255\) | −114.682 | − | 195.713i | −0.449732 | − | 0.767500i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 59.2537i | 0.230559i | 0.993333 | + | 0.115280i | \(0.0367764\pi\) | ||||
−0.993333 | + | 0.115280i | \(0.963224\pi\) | |||||||
\(258\) | 72.6585 | − | 59.6865i | 0.281622 | − | 0.231343i | ||||
\(259\) | 345.197 | + | 250.801i | 1.33281 | + | 0.968342i | ||||
\(260\) | 140.010 | − | 139.849i | 0.538499 | − | 0.537880i | ||||
\(261\) | −416.621 | − | 82.4634i | −1.59625 | − | 0.315952i | ||||
\(262\) | −125.305 | − | 91.0394i | −0.478263 | − | 0.347479i | ||||
\(263\) | −274.001 | + | 377.130i | −1.04183 | + | 1.43396i | −0.146147 | + | 0.989263i | \(0.546687\pi\) |
−0.895683 | + | 0.444693i | \(0.853313\pi\) | |||||||
\(264\) | 52.2264 | − | 81.6703i | 0.197827 | − | 0.309357i | ||||
\(265\) | −367.208 | − | 58.3765i | −1.38569 | − | 0.220289i | ||||
\(266\) | 96.5604 | − | 132.904i | 0.363009 | − | 0.499639i | ||||
\(267\) | 125.880 | − | 103.407i | 0.471462 | − | 0.387290i | ||||
\(268\) | 261.388 | 0.975330 | ||||||||
\(269\) | −377.993 | + | 122.817i | −1.40518 | + | 0.456570i | −0.910862 | − | 0.412712i | \(-0.864582\pi\) |
−0.494316 | + | 0.869282i | \(0.664582\pi\) | |||||||
\(270\) | 109.034 | − | 156.721i | 0.403830 | − | 0.580450i | ||||
\(271\) | 13.1622 | − | 40.5090i | 0.0485689 | − | 0.149480i | −0.923831 | − | 0.382801i | \(-0.874959\pi\) |
0.972400 | + | 0.233321i | \(0.0749594\pi\) | |||||||
\(272\) | 57.5294 | + | 18.6924i | 0.211505 | + | 0.0687222i | ||||
\(273\) | 261.301 | − | 408.615i | 0.957145 | − | 1.49676i | ||||
\(274\) | −108.301 | −0.395258 | ||||||||
\(275\) | 230.875 | + | 168.147i | 0.839546 | + | 0.611443i | ||||
\(276\) | 4.69406 | + | 11.9766i | 0.0170075 | + | 0.0433936i | ||||
\(277\) | −284.186 | + | 206.473i | −1.02594 | + | 0.745391i | −0.967493 | − | 0.252900i | \(-0.918616\pi\) |
−0.0584498 | + | 0.998290i | \(0.518616\pi\) | |||||||
\(278\) | 266.728 | + | 86.6652i | 0.959454 | + | 0.311745i | ||||
\(279\) | 151.474 | + | 327.761i | 0.542919 | + | 1.17477i | ||||
\(280\) | −102.976 | + | 52.3945i | −0.367773 | + | 0.187123i | ||||
\(281\) | 451.488 | − | 146.697i | 1.60672 | − | 0.522055i | 0.637962 | − | 0.770068i | \(-0.279778\pi\) |
0.968757 | + | 0.248013i | \(0.0797776\pi\) | |||||||
\(282\) | −145.412 | + | 56.9920i | −0.515644 | + | 0.202099i | ||||
\(283\) | 32.6173 | + | 100.386i | 0.115256 | + | 0.354720i | 0.992000 | − | 0.126236i | \(-0.0402897\pi\) |
−0.876745 | + | 0.480956i | \(0.840290\pi\) | |||||||
\(284\) | −66.0572 | + | 90.9200i | −0.232596 | + | 0.320141i | ||||
\(285\) | 184.012 | − | 107.825i | 0.645655 | − | 0.378334i | ||||
\(286\) | 258.666 | − | 187.932i | 0.904426 | − | 0.657104i | ||||
\(287\) | 100.856 | − | 138.816i | 0.351414 | − | 0.483680i | ||||
\(288\) | 6.03162 | + | 50.5531i | 0.0209431 | + | 0.175532i | ||||
\(289\) | −48.7916 | + | 35.4492i | −0.168829 | + | 0.122662i | ||||
\(290\) | 151.316 | + | 297.397i | 0.521779 | + | 1.02551i | ||||
\(291\) | −98.8464 | − | 25.7439i | −0.339678 | − | 0.0884671i | ||||
\(292\) | −60.4569 | − | 186.067i | −0.207044 | − | 0.637217i | ||||
\(293\) | − | 304.284i | − | 1.03851i | −0.854619 | − | 0.519256i | \(-0.826209\pi\) | ||
0.854619 | − | 0.519256i | \(-0.173791\pi\) | |||||||
\(294\) | −58.1796 | + | 47.7926i | −0.197890 | + | 0.162560i | ||||
\(295\) | 16.8236 | − | 32.9712i | 0.0570291 | − | 0.111767i | ||||
\(296\) | −140.490 | − | 45.6481i | −0.474629 | − | 0.154216i | ||||
\(297\) | 213.479 | − | 222.660i | 0.718786 | − | 0.749698i | ||||
\(298\) | −98.2730 | + | 71.3995i | −0.329775 | + | 0.239596i | ||||
\(299\) | 42.4265i | 0.141895i | ||||||||
\(300\) | −149.746 | + | 8.72881i | −0.499153 | + | 0.0290960i | ||||
\(301\) | −181.070 | −0.601563 | ||||||||
\(302\) | 174.074 | + | 239.592i | 0.576403 | + | 0.793350i | ||||
\(303\) | −50.6423 | + | 3.01045i | −0.167136 | + | 0.00993549i | ||||
\(304\) | −17.5749 | + | 54.0900i | −0.0578122 | + | 0.177928i | ||||
\(305\) | −29.5838 | + | 29.5498i | −0.0969962 | + | 0.0968846i | ||||
\(306\) | 168.025 | + | 93.8907i | 0.549101 | + | 0.306832i | ||||
\(307\) | 254.233 | 0.828120 | 0.414060 | − | 0.910250i | \(-0.364110\pi\) | ||||
0.414060 | + | 0.910250i | \(0.364110\pi\) | |||||||
\(308\) | −177.539 | + | 57.6859i | −0.576426 | + | 0.187292i | ||||
\(309\) | −415.295 | − | 108.161i | −1.34400 | − | 0.350036i | ||||
\(310\) | 128.935 | − | 252.690i | 0.415920 | − | 0.815129i | ||||
\(311\) | −8.14763 | − | 11.2142i | −0.0261982 | − | 0.0360587i | 0.795717 | − | 0.605669i | \(-0.207094\pi\) |
−0.821915 | + | 0.569610i | \(0.807094\pi\) | |||||||
\(312\) | −42.3207 | + | 162.495i | −0.135643 | + | 0.520816i | ||||
\(313\) | −88.0914 | − | 64.0022i | −0.281442 | − | 0.204480i | 0.438104 | − | 0.898924i | \(-0.355650\pi\) |
−0.719546 | + | 0.694445i | \(0.755650\pi\) | |||||||
\(314\) | −204.786 | − | 281.864i | −0.652184 | − | 0.897655i | ||||
\(315\) | −353.804 | + | 99.9230i | −1.12319 | + | 0.317216i | ||||
\(316\) | 34.7831 | + | 25.2714i | 0.110073 | + | 0.0799728i | ||||
\(317\) | 31.5232 | − | 10.2425i | 0.0994421 | − | 0.0323107i | −0.258873 | − | 0.965911i | \(-0.583351\pi\) |
0.358315 | + | 0.933601i | \(0.383351\pi\) | |||||||
\(318\) | 293.743 | − | 115.128i | 0.923720 | − | 0.362039i | ||||
\(319\) | 166.598 | + | 512.735i | 0.522250 | + | 1.60732i | ||||
\(320\) | 28.3005 | − | 28.2680i | 0.0884392 | − | 0.0883375i | ||||
\(321\) | −255.558 | + | 15.1918i | −0.796130 | + | 0.0473263i | ||||
\(322\) | 7.65465 | − | 23.5586i | 0.0237722 | − | 0.0731633i | ||||
\(323\) | 126.384 | + | 173.953i | 0.391283 | + | 0.538554i | ||||
\(324\) | −12.4063 | + | 161.524i | −0.0382909 | + | 0.498532i | ||||
\(325\) | −470.335 | − | 153.420i | −1.44718 | − | 0.472061i | ||||
\(326\) | − | 18.7482i | − | 0.0575099i | ||||||
\(327\) | −23.4558 | + | 36.6795i | −0.0717302 | + | 0.112170i | ||||
\(328\) | −18.3567 | + | 56.4962i | −0.0559656 | + | 0.172244i | ||||
\(329\) | 286.032 | + | 92.9374i | 0.869397 | + | 0.282484i | ||||
\(330\) | −241.184 | − | 23.7800i | −0.730860 | − | 0.0720606i | ||||
\(331\) | −7.95277 | − | 24.4761i | −0.0240265 | − | 0.0739460i | 0.938324 | − | 0.345756i | \(-0.112378\pi\) |
−0.962351 | + | 0.271810i | \(0.912378\pi\) | |||||||
\(332\) | 156.687i | 0.471949i | ||||||||
\(333\) | −410.327 | − | 229.287i | −1.23221 | − | 0.688549i | ||||
\(334\) | −44.1556 | − | 32.0809i | −0.132202 | − | 0.0960506i | ||||
\(335\) | −296.335 | − | 582.418i | −0.884581 | − | 1.73856i | ||||
\(336\) | 52.8174 | − | 82.5945i | 0.157195 | − | 0.245817i | ||||
\(337\) | 203.661 | + | 147.968i | 0.604335 | + | 0.439075i | 0.847415 | − | 0.530931i | \(-0.178158\pi\) |
−0.243080 | + | 0.970006i | \(0.578158\pi\) | |||||||
\(338\) | −185.041 | + | 254.687i | −0.547458 | + | 0.753511i | ||||
\(339\) | −488.297 | − | 312.255i | −1.44040 | − | 0.921106i | ||||
\(340\) | −23.5709 | − | 149.377i | −0.0693261 | − | 0.439344i | ||||
\(341\) | 269.408 | − | 370.809i | 0.790054 | − | 1.08742i | ||||
\(342\) | −88.2774 | + | 157.979i | −0.258121 | + | 0.461928i | ||||
\(343\) | −255.335 | −0.744418 | ||||||||
\(344\) | 59.6189 | − | 19.3714i | 0.173311 | − | 0.0563121i | ||||
\(345\) | 21.3643 | − | 24.0370i | 0.0619255 | − | 0.0696724i | ||||
\(346\) | 125.807 | − | 387.196i | 0.363605 | − | 1.11906i | ||||
\(347\) | −47.2702 | − | 15.3590i | −0.136225 | − | 0.0442623i | 0.240111 | − | 0.970745i | \(-0.422816\pi\) |
−0.376336 | + | 0.926483i | \(0.622816\pi\) | |||||||
\(348\) | −238.534 | − | 152.537i | −0.685442 | − | 0.438325i | ||||
\(349\) | −53.4503 | −0.153153 | −0.0765764 | − | 0.997064i | \(-0.524399\pi\) | ||||
−0.0765764 | + | 0.997064i | \(0.524399\pi\) | |||||||
\(350\) | 233.488 | + | 170.050i | 0.667108 | + | 0.485856i | ||||
\(351\) | −232.496 | + | 481.067i | −0.662381 | + | 1.37056i | ||||
\(352\) | 52.2848 | − | 37.9871i | 0.148536 | − | 0.107918i | ||||
\(353\) | 616.363 | + | 200.268i | 1.74607 | + | 0.567332i | 0.995611 | − | 0.0935856i | \(-0.0298329\pi\) |
0.750458 | + | 0.660918i | \(0.229833\pi\) | |||||||
\(354\) | 1.86381 | + | 31.3532i | 0.00526499 | + | 0.0885684i | ||||
\(355\) | 277.474 | + | 44.1112i | 0.781616 | + | 0.124257i | ||||
\(356\) | 103.289 | − | 33.5607i | 0.290139 | − | 0.0942717i | ||||
\(357\) | −135.252 | − | 345.088i | −0.378858 | − | 0.966633i | ||||
\(358\) | −75.7845 | − | 233.241i | −0.211689 | − | 0.651510i | ||||
\(359\) | 271.831 | − | 374.144i | 0.757190 | − | 1.04218i | −0.240252 | − | 0.970710i | \(-0.577230\pi\) |
0.997443 | − | 0.0714725i | \(-0.0227698\pi\) | |||||||
\(360\) | 105.803 | − | 70.7513i | 0.293897 | − | 0.196531i | ||||
\(361\) | 128.502 | − | 93.3621i | 0.355961 | − | 0.258621i | ||||
\(362\) | 53.9524 | − | 74.2591i | 0.149040 | − | 0.205136i | ||||
\(363\) | −27.6455 | − | 7.20011i | −0.0761585 | − | 0.0198350i | ||||
\(364\) | 261.593 | − | 190.058i | 0.718662 | − | 0.522139i | ||||
\(365\) | −346.050 | + | 345.652i | −0.948081 | + | 0.946991i | ||||
\(366\) | 8.94229 | − | 34.3348i | 0.0244325 | − | 0.0938110i | ||||
\(367\) | −85.5299 | − | 263.234i | −0.233052 | − | 0.717259i | −0.997374 | − | 0.0724246i | \(-0.976926\pi\) |
0.764322 | − | 0.644834i | \(-0.223074\pi\) | |||||||
\(368\) | 8.57577i | 0.0233037i | ||||||||
\(369\) | −92.2044 | + | 165.007i | −0.249876 | + | 0.447173i | ||||
\(370\) | 57.5615 | + | 364.787i | 0.155572 | + | 0.985911i | ||||
\(371\) | −577.806 | − | 187.741i | −1.55743 | − | 0.506040i | ||||
\(372\) | 14.2841 | + | 240.290i | 0.0383982 | + | 0.645940i | ||||
\(373\) | 109.956 | − | 79.8879i | 0.294789 | − | 0.214177i | −0.430553 | − | 0.902565i | \(-0.641682\pi\) |
0.725342 | + | 0.688388i | \(0.241682\pi\) | |||||||
\(374\) | − | 244.333i | − | 0.653296i | ||||||
\(375\) | 189.215 | + | 323.763i | 0.504574 | + | 0.863368i | ||||
\(376\) | −104.121 | −0.276917 | ||||||||
\(377\) | −548.891 | − | 755.484i | −1.45594 | − | 2.00394i | ||||
\(378\) | 215.895 | − | 225.180i | 0.571151 | − | 0.595714i | ||||
\(379\) | 53.8748 | − | 165.809i | 0.142150 | − | 0.437492i | −0.854484 | − | 0.519478i | \(-0.826126\pi\) |
0.996633 | + | 0.0819862i | \(0.0261263\pi\) | |||||||
\(380\) | 140.446 | − | 22.1617i | 0.369595 | − | 0.0583202i | ||||
\(381\) | −2.19553 | − | 2.67269i | −0.00576254 | − | 0.00701494i | ||||
\(382\) | 89.0183 | 0.233032 | ||||||||
\(383\) | 609.024 | − | 197.884i | 1.59014 | − | 0.516668i | 0.625497 | − | 0.780227i | \(-0.284896\pi\) |
0.964643 | + | 0.263559i | \(0.0848962\pi\) | |||||||
\(384\) | −8.55439 | + | 32.8454i | −0.0222771 | + | 0.0855350i | ||||
\(385\) | 329.809 | + | 330.189i | 0.856647 | + | 0.857633i | ||||
\(386\) | 10.8275 | + | 14.9028i | 0.0280506 | + | 0.0386084i | ||||
\(387\) | 198.064 | − | 23.6315i | 0.511794 | − | 0.0610634i | ||||
\(388\) | −55.0907 | − | 40.0258i | −0.141986 | − | 0.103159i | ||||
\(389\) | −145.995 | − | 200.945i | −0.375308 | − | 0.516567i | 0.579026 | − | 0.815309i | \(-0.303433\pi\) |
−0.954334 | + | 0.298742i | \(0.903433\pi\) | |||||||
\(390\) | 410.044 | − | 89.9215i | 1.05139 | − | 0.230568i | ||||
\(391\) | 26.2298 | + | 19.0570i | 0.0670838 | + | 0.0487393i | ||||
\(392\) | −47.7384 | + | 15.5112i | −0.121782 | + | 0.0395693i | ||||
\(393\) | −119.895 | − | 305.905i | −0.305076 | − | 0.778385i | ||||
\(394\) | −76.8495 | − | 236.519i | −0.195050 | − | 0.600301i | ||||
\(395\) | 16.8755 | − | 106.153i | 0.0427229 | − | 0.268741i | ||||
\(396\) | 186.673 | − | 86.2705i | 0.471396 | − | 0.217855i | ||||
\(397\) | 93.2252 | − | 286.918i | 0.234824 | − | 0.722714i | −0.762321 | − | 0.647200i | \(-0.775940\pi\) |
0.997145 | − | 0.0755146i | \(-0.0240600\pi\) | |||||||
\(398\) | −246.284 | − | 338.981i | −0.618805 | − | 0.851712i | ||||
\(399\) | 324.457 | − | 127.166i | 0.813174 | − | 0.318712i | ||||
\(400\) | −95.0700 | − | 31.0111i | −0.237675 | − | 0.0775278i | ||||
\(401\) | 380.590i | 0.949103i | 0.880228 | + | 0.474551i | \(0.157390\pi\) | ||||
−0.880228 | + | 0.474551i | \(0.842610\pi\) | |||||||
\(402\) | 467.141 | + | 298.726i | 1.16204 | + | 0.743100i | ||||
\(403\) | −245.333 | + | 755.057i | −0.608767 | + | 1.87359i | ||||
\(404\) | −32.1658 | − | 10.4513i | −0.0796183 | − | 0.0258695i | ||||
\(405\) | 373.968 | − | 155.476i | 0.923378 | − | 0.383891i | ||||
\(406\) | 168.483 | + | 518.537i | 0.414983 | + | 1.27719i | ||||
\(407\) | 596.675i | 1.46603i | ||||||||
\(408\) | 81.4512 | + | 99.1534i | 0.199635 | + | 0.243023i | ||||
\(409\) | −308.301 | − | 223.994i | −0.753791 | − | 0.547661i | 0.143208 | − | 0.989693i | \(-0.454258\pi\) |
−0.897000 | + | 0.442031i | \(0.854258\pi\) | |||||||
\(410\) | 146.694 | − | 23.1475i | 0.357790 | − | 0.0564574i | ||||
\(411\) | −193.549 | − | 123.771i | −0.470923 | − | 0.301145i | ||||
\(412\) | −231.459 | − | 168.165i | −0.561794 | − | 0.408168i | ||||
\(413\) | 35.5505 | − | 48.9310i | 0.0860786 | − | 0.118477i | ||||
\(414\) | −5.29841 | + | 26.7686i | −0.0127981 | + | 0.0646585i | ||||
\(415\) | 349.125 | − | 177.635i | 0.841266 | − | 0.428037i | ||||
\(416\) | −65.7987 | + | 90.5642i | −0.158170 | + | 0.217702i | ||||
\(417\) | 377.639 | + | 459.712i | 0.905608 | + | 1.10243i | ||||
\(418\) | 229.725 | 0.549582 | ||||||||
\(419\) | 92.3572 | − | 30.0087i | 0.220423 | − | 0.0716198i | −0.196724 | − | 0.980459i | \(-0.563030\pi\) |
0.417147 | + | 0.908839i | \(0.363030\pi\) | |||||||
\(420\) | −243.913 | − | 24.0491i | −0.580746 | − | 0.0572598i | ||||
\(421\) | −77.2950 | + | 237.890i | −0.183599 | + | 0.565059i | −0.999921 | − | 0.0125374i | \(-0.996009\pi\) |
0.816323 | + | 0.577596i | \(0.196009\pi\) | |||||||
\(422\) | 188.663 | + | 61.3004i | 0.447070 | + | 0.145262i | ||||
\(423\) | −325.006 | − | 64.3296i | −0.768335 | − | 0.152079i | ||||
\(424\) | 210.332 | 0.496067 | ||||||||
\(425\) | −306.115 | + | 221.868i | −0.720270 | + | 0.522041i | ||||
\(426\) | −221.962 | + | 86.9946i | −0.521037 | + | 0.204213i | ||||
\(427\) | −55.2741 | + | 40.1590i | −0.129448 | + | 0.0940492i | ||||
\(428\) | −162.319 | − | 52.7408i | −0.379251 | − | 0.123226i | ||||
\(429\) | 677.052 | − | 40.2477i | 1.57821 | − | 0.0938174i | ||||
\(430\) | −110.752 | − | 110.880i | −0.257563 | − | 0.257860i | ||||
\(431\) | −135.416 | + | 43.9993i | −0.314190 | + | 0.102087i | −0.461867 | − | 0.886949i | \(-0.652820\pi\) |
0.147677 | + | 0.989036i | \(0.452820\pi\) | |||||||
\(432\) | −46.9949 | + | 97.2393i | −0.108785 | + | 0.225091i | ||||
\(433\) | 97.0856 | + | 298.799i | 0.224216 | + | 0.690066i | 0.998370 | + | 0.0570692i | \(0.0181756\pi\) |
−0.774154 | + | 0.632997i | \(0.781824\pi\) | |||||||
\(434\) | 272.457 | − | 375.005i | 0.627781 | − | 0.864067i | ||||
\(435\) | −69.4541 | + | 704.424i | −0.159665 | + | 1.61937i | ||||
\(436\) | −23.4820 | + | 17.0607i | −0.0538578 | + | 0.0391300i | ||||
\(437\) | −17.9177 | + | 24.6616i | −0.0410016 | + | 0.0564339i | ||||
\(438\) | 104.600 | − | 401.623i | 0.238813 | − | 0.916948i | ||||
\(439\) | 150.083 | − | 109.042i | 0.341875 | − | 0.248387i | −0.403577 | − | 0.914946i | \(-0.632233\pi\) |
0.745453 | + | 0.666559i | \(0.232233\pi\) | |||||||
\(440\) | −143.917 | − | 73.4336i | −0.327084 | − | 0.166894i | ||||
\(441\) | −158.595 | + | 18.9224i | −0.359626 | + | 0.0429079i | ||||
\(442\) | 130.781 | + | 402.503i | 0.295885 | + | 0.910640i | ||||
\(443\) | − | 495.077i | − | 1.11755i | −0.829318 | − | 0.558777i | \(-0.811271\pi\) | ||
0.829318 | − | 0.558777i | \(-0.188729\pi\) | |||||||
\(444\) | −198.909 | − | 242.138i | −0.447993 | − | 0.545357i | ||||
\(445\) | −191.878 | − | 192.098i | −0.431186 | − | 0.431682i | ||||
\(446\) | 306.991 | + | 99.7474i | 0.688321 | + | 0.223649i | ||||
\(447\) | −257.227 | + | 15.2910i | −0.575453 | + | 0.0342080i | ||||
\(448\) | 52.8765 | − | 38.4170i | 0.118028 | − | 0.0857522i | ||||
\(449\) | 844.252i | 1.88029i | 0.340770 | + | 0.940147i | \(0.389312\pi\) | ||||
−0.340770 | + | 0.940147i | \(0.610688\pi\) | |||||||
\(450\) | −277.594 | − | 155.536i | −0.616876 | − | 0.345636i | ||||
\(451\) | 239.944 | 0.532027 | ||||||||
\(452\) | −227.120 | − | 312.604i | −0.502479 | − | 0.691603i | ||||
\(453\) | 37.2798 | + | 627.126i | 0.0822953 | + | 1.38438i | ||||
\(454\) | 42.2967 | − | 130.176i | 0.0931646 | − | 0.286731i | ||||
\(455\) | −720.049 | − | 367.405i | −1.58253 | − | 0.807484i | ||||
\(456\) | −93.2254 | + | 76.5816i | −0.204442 | + | 0.167942i | ||||
\(457\) | 537.204 | 1.17550 | 0.587751 | − | 0.809042i | \(-0.300013\pi\) | ||||
0.587751 | + | 0.809042i | \(0.300013\pi\) | |||||||
\(458\) | −438.178 | + | 142.373i | −0.956722 | + | 0.310858i | ||||
\(459\) | 192.983 | + | 359.823i | 0.420443 | + | 0.783928i | ||||
\(460\) | 19.1083 | − | 9.72231i | 0.0415397 | − | 0.0211354i | ||||
\(461\) | 262.691 | + | 361.563i | 0.569829 | + | 0.784302i | 0.992534 | − | 0.121965i | \(-0.0389195\pi\) |
−0.422706 | + | 0.906267i | \(0.638920\pi\) | |||||||
\(462\) | −383.215 | − | 99.8060i | −0.829470 | − | 0.216030i | ||||
\(463\) | 275.587 | + | 200.226i | 0.595221 | + | 0.432453i | 0.844179 | − | 0.536061i | \(-0.180088\pi\) |
−0.248958 | + | 0.968514i | \(0.580088\pi\) | |||||||
\(464\) | −110.949 | − | 152.708i | −0.239114 | − | 0.329112i | ||||
\(465\) | 519.212 | − | 304.242i | 1.11658 | − | 0.654285i | ||||
\(466\) | −188.809 | − | 137.178i | −0.405169 | − | 0.294372i | ||||
\(467\) | −518.469 | + | 168.461i | −1.11021 | + | 0.360729i | −0.806024 | − | 0.591883i | \(-0.798385\pi\) |
−0.304187 | + | 0.952612i | \(0.598385\pi\) | |||||||
\(468\) | −261.339 | + | 242.036i | −0.558417 | + | 0.517172i | ||||
\(469\) | −329.954 | − | 1015.49i | −0.703527 | − | 2.16523i | ||||
\(470\) | 118.041 | + | 231.999i | 0.251152 | + | 0.493615i | ||||
\(471\) | −43.8571 | − | 737.771i | −0.0931150 | − | 1.56639i | ||||
\(472\) | −6.47052 | + | 19.9142i | −0.0137087 | + | 0.0421911i | ||||
\(473\) | −148.831 | − | 204.849i | −0.314654 | − | 0.433084i | ||||
\(474\) | 33.2814 | + | 84.9155i | 0.0702139 | + | 0.179147i | ||||
\(475\) | −208.603 | − | 287.813i | −0.439164 | − | 0.605923i | ||||
\(476\) | − | 247.098i | − | 0.519113i | ||||||
\(477\) | 656.536 | + | 129.951i | 1.37639 | + | 0.272434i | ||||
\(478\) | −139.195 | + | 428.398i | −0.291203 | + | 0.896231i | ||||
\(479\) | 435.593 | + | 141.533i | 0.909379 | + | 0.295475i | 0.726103 | − | 0.687586i | \(-0.241330\pi\) |
0.183276 | + | 0.983061i | \(0.441330\pi\) | |||||||
\(480\) | 82.8832 | − | 18.1761i | 0.172673 | − | 0.0378668i | ||||
\(481\) | −319.375 | − | 982.935i | −0.663981 | − | 2.04352i | ||||
\(482\) | 423.502i | 0.878635i | ||||||||
\(483\) | 40.6038 | − | 33.3547i | 0.0840658 | − | 0.0690573i | ||||
\(484\) | −15.4079 | − | 11.1945i | −0.0318345 | − | 0.0231291i | ||||
\(485\) | −26.7281 | + | 168.128i | −0.0551095 | + | 0.346657i | ||||
\(486\) | −206.769 | + | 274.490i | −0.425450 | + | 0.564794i | ||||
\(487\) | 202.292 | + | 146.974i | 0.415385 | + | 0.301795i | 0.775778 | − | 0.631006i | \(-0.217358\pi\) |
−0.360393 | + | 0.932800i | \(0.617358\pi\) | |||||||
\(488\) | 13.9032 | − | 19.1360i | 0.0284901 | − | 0.0392132i | ||||
\(489\) | 21.4263 | − | 33.5059i | 0.0438165 | − | 0.0685192i | ||||
\(490\) | 88.6823 | + | 88.7843i | 0.180984 | + | 0.181193i | ||||
\(491\) | −208.550 | + | 287.044i | −0.424745 | + | 0.584611i | −0.966737 | − | 0.255773i | \(-0.917670\pi\) |
0.541992 | + | 0.840383i | \(0.317670\pi\) | |||||||
\(492\) | −97.3725 | + | 79.9883i | −0.197912 | + | 0.162578i | ||||
\(493\) | −713.621 | −1.44751 | ||||||||
\(494\) | −378.439 | + | 122.962i | −0.766071 | + | 0.248911i | ||||
\(495\) | −403.855 | − | 318.134i | −0.815869 | − | 0.642695i | ||||
\(496\) | −49.5898 | + | 152.622i | −0.0999794 | + | 0.307705i | ||||
\(497\) | 436.609 | + | 141.863i | 0.878489 | + | 0.285438i | ||||
\(498\) | −179.069 | + | 280.024i | −0.359576 | + | 0.562296i | ||||
\(499\) | −65.2143 | −0.130690 | −0.0653450 | − | 0.997863i | \(-0.520815\pi\) | ||||
−0.0653450 | + | 0.997863i | \(0.520815\pi\) | |||||||
\(500\) | 38.6824 | + | 246.989i | 0.0773648 | + | 0.493978i | ||||
\(501\) | −42.2492 | − | 107.796i | −0.0843297 | − | 0.215162i | ||||
\(502\) | −342.757 | + | 249.027i | −0.682782 | + | 0.496070i | ||||
\(503\) | 256.839 | + | 83.4520i | 0.510614 | + | 0.165908i | 0.552981 | − | 0.833194i | \(-0.313490\pi\) |
−0.0423676 | + | 0.999102i | \(0.513490\pi\) | |||||||
\(504\) | 188.785 | − | 87.2468i | 0.374574 | − | 0.173109i | ||||
\(505\) | 13.1789 | + | 83.5194i | 0.0260969 | + | 0.165385i | ||||
\(506\) | 32.9441 | − | 10.7042i | 0.0651069 | − | 0.0211545i | ||||
\(507\) | −621.763 | + | 243.691i | −1.22636 | + | 0.480653i | ||||
\(508\) | −0.712562 | − | 2.19304i | −0.00140268 | − | 0.00431701i | ||||
\(509\) | 254.598 | − | 350.425i | 0.500194 | − | 0.688457i | −0.482034 | − | 0.876153i | \(-0.660102\pi\) |
0.982227 | + | 0.187695i | \(0.0601018\pi\) | |||||||
\(510\) | 128.590 | − | 293.897i | 0.252137 | − | 0.576268i | ||||
\(511\) | −646.556 | + | 469.751i | −1.26528 | + | 0.919277i | ||||
\(512\) | −13.3001 | + | 18.3060i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | −338.311 | + | 181.446i | −0.659475 | + | 0.353695i | ||||
\(514\) | −67.7935 | + | 49.2549i | −0.131894 | + | 0.0958266i | ||||
\(515\) | −112.296 | + | 706.378i | −0.218050 | + | 1.37161i | ||||
\(516\) | 128.686 | + | 33.5156i | 0.249392 | + | 0.0649527i | ||||
\(517\) | 129.963 | + | 399.984i | 0.251378 | + | 0.773663i | ||||
\(518\) | 603.427i | 1.16492i | ||||||||
\(519\) | 667.341 | − | 548.198i | 1.28582 | − | 1.05626i | ||||
\(520\) | 276.388 | + | 43.9386i | 0.531515 | + | 0.0844972i | ||||
\(521\) | −304.188 | − | 98.8367i | −0.583854 | − | 0.189706i | 0.00217230 | − | 0.999998i | \(-0.499309\pi\) |
−0.586026 | + | 0.810292i | \(0.699309\pi\) | |||||||
\(522\) | −251.970 | − | 545.214i | −0.482701 | − | 1.04447i | ||||
\(523\) | 318.145 | − | 231.146i | 0.608308 | − | 0.441962i | −0.240510 | − | 0.970647i | \(-0.577315\pi\) |
0.848818 | + | 0.528685i | \(0.177315\pi\) | |||||||
\(524\) | − | 219.041i | − | 0.418017i | ||||||
\(525\) | 222.938 | + | 570.744i | 0.424643 | + | 1.08713i | ||||
\(526\) | −659.248 | −1.25332 | ||||||||
\(527\) | 356.609 | + | 490.830i | 0.676677 | + | 0.931366i | ||||
\(528\) | 136.854 | − | 8.13536i | 0.259194 | − | 0.0154079i | ||||
\(529\) | 162.050 | − | 498.737i | 0.306332 | − | 0.942793i | ||||
\(530\) | −238.453 | − | 468.656i | −0.449911 | − | 0.884257i | ||||
\(531\) | −32.5009 | + | 58.1629i | −0.0612070 | + | 0.109535i | ||||
\(532\) | 232.325 | 0.436701 | ||||||||
\(533\) | −395.274 | + | 128.432i | −0.741601 | + | 0.240961i | ||||
\(534\) | 222.948 | + | 58.0655i | 0.417506 | + | 0.108737i | ||||
\(535\) | 66.5053 | + | 421.467i | 0.124309 | + | 0.787788i | ||||
\(536\) | 217.280 | + | 299.061i | 0.405373 | + | 0.557949i | ||||
\(537\) | 131.119 | − | 503.446i | 0.244170 | − | 0.937516i | ||||
\(538\) | −454.726 | − | 330.378i | −0.845216 | − | 0.614085i | ||||
\(539\) | 119.173 | + | 164.028i | 0.221100 | + | 0.304319i | ||||
\(540\) | 269.943 | − | 5.52701i | 0.499895 | − | 0.0102352i | ||||
\(541\) | 87.3140 | + | 63.4374i | 0.161394 | + | 0.117259i | 0.665551 | − | 0.746353i | \(-0.268197\pi\) |
−0.504157 | + | 0.863612i | \(0.668197\pi\) | |||||||
\(542\) | 57.2884 | − | 18.6141i | 0.105698 | − | 0.0343434i | ||||
\(543\) | 181.288 | − | 71.0530i | 0.333863 | − | 0.130853i | ||||
\(544\) | 26.4351 | + | 81.3589i | 0.0485940 | + | 0.149557i | ||||
\(545\) | 64.6355 | + | 32.9803i | 0.118597 | + | 0.0605143i | ||||
\(546\) | 684.713 | − | 40.7031i | 1.25405 | − | 0.0745478i | ||||
\(547\) | −53.3464 | + | 164.183i | −0.0975254 | + | 0.300152i | −0.987904 | − | 0.155069i | \(-0.950440\pi\) |
0.890378 | + | 0.455222i | \(0.150440\pi\) | |||||||
\(548\) | −90.0253 | − | 123.909i | −0.164280 | − | 0.226112i | ||||
\(549\) | 55.2205 | − | 51.1418i | 0.100584 | − | 0.0931545i | ||||
\(550\) | −0.464756 | + | 403.922i | −0.000845010 | + | 0.734404i | ||||
\(551\) | − | 670.957i | − | 1.21771i | ||||||
\(552\) | −9.80077 | + | 15.3262i | −0.0177550 | + | 0.0277648i | ||||
\(553\) | 54.2722 | − | 167.033i | 0.0981415 | − | 0.302048i | ||||
\(554\) | −472.461 | − | 153.512i | −0.852819 | − | 0.277098i | ||||
\(555\) | −314.024 | + | 717.713i | −0.565808 | + | 1.29318i | ||||
\(556\) | 122.563 | + | 377.211i | 0.220437 | + | 0.678436i | ||||
\(557\) | − | 909.017i | − | 1.63199i | −0.578061 | − | 0.815994i | \(-0.696190\pi\) | ||
0.578061 | − | 0.815994i | \(-0.303810\pi\) | |||||||
\(558\) | −249.086 | + | 445.758i | −0.446390 | + | 0.798850i | ||||
\(559\) | 354.825 | + | 257.795i | 0.634749 | + | 0.461172i | ||||
\(560\) | −145.545 | − | 74.2645i | −0.259902 | − | 0.132615i | ||||
\(561\) | 279.234 | − | 436.659i | 0.497744 | − | 0.778359i | ||||
\(562\) | 543.141 | + | 394.615i | 0.966443 | + | 0.702162i | ||||
\(563\) | 308.779 | − | 424.997i | 0.548452 | − | 0.754880i | −0.441349 | − | 0.897336i | \(-0.645500\pi\) |
0.989801 | + | 0.142456i | \(0.0454999\pi\) | |||||||
\(564\) | −186.080 | − | 118.994i | −0.329929 | − | 0.210982i | ||||
\(565\) | −439.050 | + | 860.461i | −0.777080 | + | 1.52294i | ||||
\(566\) | −87.7404 | + | 120.764i | −0.155018 | + | 0.213364i | ||||
\(567\) | 643.182 | − | 155.696i | 1.13436 | − | 0.274596i | ||||
\(568\) | −158.934 | −0.279813 | ||||||||
\(569\) | −571.702 | + | 185.757i | −1.00475 | + | 0.326463i | −0.764762 | − | 0.644313i | \(-0.777143\pi\) |
−0.239987 | + | 0.970776i | \(0.577143\pi\) | |||||||
\(570\) | 276.326 | + | 120.902i | 0.484782 | + | 0.212109i | ||||
\(571\) | 52.1997 | − | 160.654i | 0.0914180 | − | 0.281356i | −0.894886 | − | 0.446296i | \(-0.852743\pi\) |
0.986304 | + | 0.164940i | \(0.0527430\pi\) | |||||||
\(572\) | 430.034 | + | 139.727i | 0.751808 | + | 0.244277i | ||||
\(573\) | 159.089 | + | 101.734i | 0.277643 | + | 0.177546i | ||||
\(574\) | 242.660 | 0.422752 | ||||||||
\(575\) | −43.3259 | − | 31.5543i | −0.0753493 | − | 0.0548771i | ||||
\(576\) | −52.8252 | + | 48.9234i | −0.0917104 | + | 0.0849365i | ||||
\(577\) | 444.674 | − | 323.074i | 0.770665 | − | 0.559921i | −0.131498 | − | 0.991316i | \(-0.541979\pi\) |
0.902163 | + | 0.431396i | \(0.141979\pi\) | |||||||
\(578\) | −81.1165 | − | 26.3563i | −0.140340 | − | 0.0455992i | ||||
\(579\) | 2.31884 | + | 39.0078i | 0.00400490 | + | 0.0673710i | ||||
\(580\) | −214.477 | + | 420.337i | −0.369788 | + | 0.724718i | ||||
\(581\) | 608.730 | − | 197.788i | 1.04773 | − | 0.340427i | ||||
\(582\) | −52.7123 | − | 134.492i | −0.0905709 | − | 0.231086i | ||||
\(583\) | −262.535 | − | 807.998i | −0.450317 | − | 1.38593i | ||||
\(584\) | 162.629 | − | 223.839i | 0.278474 | − | 0.383287i | ||||
\(585\) | 835.577 | + | 307.913i | 1.42834 | + | 0.526347i | ||||
\(586\) | 348.138 | − | 252.937i | 0.594092 | − | 0.431633i | ||||
\(587\) | −575.392 | + | 791.960i | −0.980225 | + | 1.34916i | −0.0435176 | + | 0.999053i | \(0.513856\pi\) |
−0.936708 | + | 0.350112i | \(0.886144\pi\) | |||||||
\(588\) | −103.043 | − | 26.8368i | −0.175242 | − | 0.0456408i | ||||
\(589\) | −461.486 | + | 335.289i | −0.783507 | + | 0.569251i | ||||
\(590\) | 51.7078 | − | 8.15922i | 0.0876404 | − | 0.0138292i | ||||
\(591\) | 132.962 | − | 510.521i | 0.224978 | − | 0.863826i | ||||
\(592\) | −64.5561 | − | 198.683i | −0.109047 | − | 0.335614i | ||||
\(593\) | − | 116.765i | − | 0.196905i | −0.995142 | − | 0.0984527i | \(-0.968611\pi\) | ||
0.995142 | − | 0.0984527i | \(-0.0313893\pi\) | |||||||
\(594\) | 432.206 | + | 59.1594i | 0.727620 | + | 0.0995950i | ||||
\(595\) | −550.575 | + | 280.133i | −0.925337 | + | 0.470812i | ||||
\(596\) | −163.380 | − | 53.0853i | −0.274127 | − | 0.0890693i | ||||
\(597\) | −52.7445 | − | 887.275i | −0.0883492 | − | 1.48622i | ||||
\(598\) | −48.5411 | + | 35.2672i | −0.0811724 | + | 0.0589752i | ||||
\(599\) | 355.503i | 0.593494i | 0.954956 | + | 0.296747i | \(0.0959018\pi\) | ||||
−0.954956 | + | 0.296747i | \(0.904098\pi\) | |||||||
\(600\) | −134.464 | − | 164.072i | −0.224106 | − | 0.273453i | ||||
\(601\) | −83.5556 | −0.139028 | −0.0695138 | − | 0.997581i | \(-0.522145\pi\) | ||||
−0.0695138 | + | 0.997581i | \(0.522145\pi\) | |||||||
\(602\) | −150.515 | − | 207.167i | −0.250026 | − | 0.344131i | ||||
\(603\) | 493.453 | + | 1067.74i | 0.818330 | + | 1.77071i | ||||
\(604\) | −129.423 | + | 398.323i | −0.214277 | + | 0.659476i | ||||
\(605\) | −7.47536 | + | 47.0225i | −0.0123560 | + | 0.0777231i | ||||
\(606\) | −45.5409 | − | 55.4385i | −0.0751500 | − | 0.0914827i | ||||
\(607\) | 863.021 | 1.42178 | 0.710890 | − | 0.703303i | \(-0.248292\pi\) | ||||
0.710890 | + | 0.703303i | \(0.248292\pi\) | |||||||
\(608\) | −76.4948 | + | 24.8547i | −0.125814 | + | 0.0408794i | ||||
\(609\) | −291.503 | + | 1119.25i | −0.478658 | + | 1.83786i | ||||
\(610\) | −58.4003 | − | 9.28414i | −0.0957382 | − | 0.0152199i | ||||
\(611\) | −428.189 | − | 589.352i | −0.700800 | − | 0.964569i | ||||
\(612\) | 32.2488 | + | 270.288i | 0.0526941 | + | 0.441647i | ||||
\(613\) | 118.032 | + | 85.7549i | 0.192547 | + | 0.139894i | 0.679882 | − | 0.733321i | \(-0.262031\pi\) |
−0.487335 | + | 0.873215i | \(0.662031\pi\) | |||||||
\(614\) | 211.332 | + | 290.874i | 0.344189 | + | 0.473736i | ||||
\(615\) | 288.618 | + | 126.280i | 0.469298 | + | 0.205334i | ||||
\(616\) | −213.580 | − | 155.175i | −0.346721 | − | 0.251907i | ||||
\(617\) | −265.234 | + | 86.1796i | −0.429876 | + | 0.139675i | −0.515960 | − | 0.856613i | \(-0.672565\pi\) |
0.0860839 | + | 0.996288i | \(0.472565\pi\) | |||||||
\(618\) | −221.466 | − | 565.058i | −0.358360 | − | 0.914333i | ||||
\(619\) | −283.216 | − | 871.650i | −0.457539 | − | 1.40816i | −0.868129 | − | 0.496339i | \(-0.834677\pi\) |
0.410590 | − | 0.911820i | \(-0.365323\pi\) | |||||||
\(620\) | 396.286 | − | 62.5319i | 0.639172 | − | 0.100858i | ||||
\(621\) | −40.0614 | + | 41.7843i | −0.0645111 | + | 0.0672855i | ||||
\(622\) | 6.05773 | − | 18.6438i | 0.00973912 | − | 0.0299739i | ||||
\(623\) | −260.767 | − | 358.915i | −0.418567 | − | 0.576108i | ||||
\(624\) | −221.093 | + | 86.6541i | −0.354316 | + | 0.138869i | ||||
\(625\) | 506.480 | − | 366.201i | 0.810367 | − | 0.585922i | ||||
\(626\) | − | 153.989i | − | 0.245990i | ||||||
\(627\) | 410.553 | + | 262.540i | 0.654790 | + | 0.418724i | ||||
\(628\) | 152.258 | − | 468.600i | 0.242448 | − | 0.746179i | ||||
\(629\) | −751.147 | − | 244.063i | −1.19419 | − | 0.388017i | ||||
\(630\) | −408.425 | − | 321.734i | −0.648294 | − | 0.510689i | ||||
\(631\) | −251.644 | − | 774.479i | −0.398801 | − | 1.22738i | −0.925961 | − | 0.377618i | \(-0.876743\pi\) |
0.527160 | − | 0.849766i | \(-0.323257\pi\) | |||||||
\(632\) | 60.8031i | 0.0962074i | ||||||||
\(633\) | 267.113 | + | 325.166i | 0.421980 | + | 0.513690i | ||||
\(634\) | 37.9224 | + | 27.5522i | 0.0598145 | + | 0.0434578i | ||||
\(635\) | −4.07863 | + | 4.07394i | −0.00642305 | + | 0.00641566i | ||||
\(636\) | 375.896 | + | 240.377i | 0.591031 | + | 0.377952i | ||||
\(637\) | −284.118 | − | 206.424i | −0.446024 | − | 0.324056i | ||||
\(638\) | −448.147 | + | 616.821i | −0.702425 | + | 0.966804i | ||||
\(639\) | −496.100 | − | 98.1950i | −0.776369 | − | 0.153670i | ||||
\(640\) | 55.8670 | + | 8.88141i | 0.0872922 | + | 0.0138772i | ||||
\(641\) | 82.1393 | − | 113.055i | 0.128142 | − | 0.176373i | −0.740125 | − | 0.672469i | \(-0.765234\pi\) |
0.868267 | + | 0.496096i | \(0.165234\pi\) | |||||||
\(642\) | −229.815 | − | 279.761i | −0.357967 | − | 0.435765i | ||||
\(643\) | 731.126 | 1.13705 | 0.568527 | − | 0.822665i | \(-0.307513\pi\) | ||||
0.568527 | + | 0.822665i | \(0.307513\pi\) | |||||||
\(644\) | 33.3169 | − | 10.8253i | 0.0517343 | − | 0.0168095i | ||||
\(645\) | −71.2127 | − | 324.731i | −0.110407 | − | 0.503460i | ||||
\(646\) | −93.9662 | + | 289.198i | −0.145459 | + | 0.447675i | ||||
\(647\) | 298.529 | + | 96.9980i | 0.461405 | + | 0.149920i | 0.530490 | − | 0.847691i | \(-0.322008\pi\) |
−0.0690849 | + | 0.997611i | \(0.522008\pi\) | |||||||
\(648\) | −195.116 | + | 120.073i | −0.301105 | + | 0.185298i | ||||
\(649\) | 84.5774 | 0.130320 | ||||||||
\(650\) | −215.437 | − | 665.652i | −0.331441 | − | 1.02408i | ||||
\(651\) | 915.494 | − | 358.815i | 1.40629 | − | 0.551175i | ||||
\(652\) | 21.4503 | − | 15.5845i | 0.0328992 | − | 0.0239027i | ||||
\(653\) | −851.933 | − | 276.810i | −1.30464 | − | 0.423905i | −0.427449 | − | 0.904039i | \(-0.640588\pi\) |
−0.877195 | + | 0.480135i | \(0.840588\pi\) | |||||||
\(654\) | −61.4636 | + | 3.65373i | −0.0939810 | + | 0.00558675i | ||||
\(655\) | −488.061 | + | 248.326i | −0.745131 | + | 0.379123i | ||||
\(656\) | −79.8976 | + | 25.9603i | −0.121795 | + | 0.0395737i | ||||
\(657\) | 645.929 | − | 598.219i | 0.983149 | − | 0.910532i | ||||
\(658\) | 131.433 | + | 404.510i | 0.199747 | + | 0.614757i | ||||
\(659\) | 141.835 | − | 195.218i | 0.215227 | − | 0.296234i | −0.687729 | − | 0.725967i | \(-0.741392\pi\) |
0.902956 | + | 0.429733i | \(0.141392\pi\) | |||||||
\(660\) | −173.278 | − | 295.711i | −0.262542 | − | 0.448047i | ||||
\(661\) | −747.195 | + | 542.869i | −1.13040 | + | 0.821284i | −0.985753 | − | 0.168199i | \(-0.946205\pi\) |
−0.144648 | + | 0.989483i | \(0.546205\pi\) | |||||||
\(662\) | 21.3929 | − | 29.4448i | 0.0323156 | − | 0.0444786i | ||||
\(663\) | −226.272 | + | 868.795i | −0.341286 | + | 1.31040i | ||||
\(664\) | −179.269 | + | 130.247i | −0.269984 | + | 0.196155i | ||||
\(665\) | −263.385 | − | 517.659i | −0.396068 | − | 0.778434i | ||||
\(666\) | −78.7534 | − | 660.059i | −0.118248 | − | 0.991080i | ||||
\(667\) | −31.2636 | − | 96.2195i | −0.0468720 | − | 0.144257i | ||||
\(668\) | − | 77.1868i | − | 0.115549i | ||||||
\(669\) | 434.643 | + | 529.107i | 0.649691 | + | 0.790892i | ||||
\(670\) | 420.028 | − | 823.180i | 0.626907 | − | 1.22863i | ||||
\(671\) | −90.8655 | − | 29.5240i | −0.135418 | − | 0.0440000i | ||||
\(672\) | 138.403 | − | 8.22742i | 0.205957 | − | 0.0122432i | ||||
\(673\) | 490.766 | − | 356.562i | 0.729221 | − | 0.529810i | −0.160096 | − | 0.987102i | \(-0.551180\pi\) |
0.889317 | + | 0.457291i | \(0.151180\pi\) | |||||||
\(674\) | 356.012i | 0.528208i | ||||||||
\(675\) | −318.349 | − | 595.214i | −0.471627 | − | 0.881798i | ||||
\(676\) | −445.209 | −0.658593 | ||||||||
\(677\) | −684.375 | − | 941.961i | −1.01089 | − | 1.39138i | −0.918396 | − | 0.395663i | \(-0.870515\pi\) |
−0.0924975 | − | 0.995713i | \(-0.529485\pi\) | |||||||
\(678\) | −48.6403 | − | 818.235i | −0.0717409 | − | 1.20684i | ||||
\(679\) | −85.9584 | + | 264.553i | −0.126596 | + | 0.389621i | ||||
\(680\) | 151.312 | − | 151.138i | 0.222518 | − | 0.222262i | ||||
\(681\) | 224.361 | − | 184.305i | 0.329459 | − | 0.270639i | ||||
\(682\) | 648.198 | 0.950437 | ||||||||
\(683\) | 724.002 | − | 235.243i | 1.06003 | − | 0.344426i | 0.273435 | − | 0.961891i | \(-0.411840\pi\) |
0.786598 | + | 0.617465i | \(0.211840\pi\) | |||||||
\(684\) | −254.129 | + | 30.3207i | −0.371533 | + | 0.0443286i | ||||
\(685\) | −174.029 | + | 341.067i | −0.254058 | + | 0.497908i | ||||
\(686\) | −212.249 | − | 292.135i | −0.309400 | − | 0.425853i | ||||
\(687\) | −945.801 | − | 246.328i | −1.37671 | − | 0.358556i | ||||
\(688\) | 71.7216 | + | 52.1088i | 0.104247 | + | 0.0757396i | ||||
\(689\) | 864.975 | + | 1190.54i | 1.25541 | + | 1.72792i | ||||
\(690\) | 45.2604 | + | 4.46254i | 0.0655948 | + | 0.00646745i | ||||
\(691\) | 67.3344 | + | 48.9213i | 0.0974449 | + | 0.0707979i | 0.635441 | − | 0.772150i | \(-0.280818\pi\) |
−0.537996 | + | 0.842947i | \(0.680818\pi\) | |||||||
\(692\) | 547.577 | − | 177.919i | 0.791296 | − | 0.257108i | ||||
\(693\) | −570.800 | − | 616.323i | −0.823666 | − | 0.889356i | ||||
\(694\) | −21.7209 | − | 66.8502i | −0.0312982 | − | 0.0963259i | ||||
\(695\) | 701.540 | − | 700.733i | 1.00941 | − | 1.00825i | ||||
\(696\) | −23.7609 | − | 399.709i | −0.0341392 | − | 0.574295i | ||||
\(697\) | −98.1463 | + | 302.063i | −0.140812 | + | 0.433376i | ||||
\(698\) | −44.4308 | − | 61.1537i | −0.0636544 | − | 0.0876128i | ||||
\(699\) | −180.657 | − | 460.936i | −0.258451 | − | 0.659422i | ||||
\(700\) | −0.470015 | + | 408.493i | −0.000671450 | + | 0.583561i | ||||
\(701\) | 367.659i | 0.524478i | 0.965003 | + | 0.262239i | \(0.0844609\pi\) | ||||
−0.965003 | + | 0.262239i | \(0.915539\pi\) | |||||||
\(702\) | −743.662 | + | 133.885i | −1.05935 | + | 0.190720i | ||||
\(703\) | 229.471 | − | 706.239i | 0.326417 | − | 1.00461i | ||||
\(704\) | 86.9239 | + | 28.2433i | 0.123471 | + | 0.0401183i | ||||
\(705\) | −54.1810 | + | 549.520i | −0.0768525 | + | 0.779461i | ||||
\(706\) | 283.222 | + | 871.668i | 0.401165 | + | 1.23466i | ||||
\(707\) | 138.157i | 0.195413i | ||||||||
\(708\) | −34.3226 | + | 28.1949i | −0.0484783 | + | 0.0398233i | ||||
\(709\) | 309.214 | + | 224.657i | 0.436128 | + | 0.316865i | 0.784094 | − | 0.620642i | \(-0.213128\pi\) |
−0.347967 | + | 0.937507i | \(0.613128\pi\) | |||||||
\(710\) | 180.183 | + | 354.132i | 0.253778 | + | 0.498777i | ||||
\(711\) | −37.5663 | + | 189.792i | −0.0528358 | + | 0.266937i | ||||
\(712\) | 124.257 | + | 90.2782i | 0.174519 | + | 0.126795i | ||||
\(713\) | −50.5570 | + | 69.5858i | −0.0709075 | + | 0.0975958i | ||||
\(714\) | 282.394 | − | 441.601i | 0.395510 | − | 0.618488i | ||||
\(715\) | −176.193 | − | 1116.60i | −0.246424 | − | 1.56167i | ||||
\(716\) | 203.860 | − | 280.589i | 0.284720 | − | 0.391884i | ||||
\(717\) | −738.355 | + | 606.534i | −1.02978 | + | 0.845933i | ||||
\(718\) | 654.027 | 0.910901 | ||||||||
\(719\) | −190.863 | + | 62.0152i | −0.265456 | + | 0.0862520i | −0.438721 | − | 0.898623i | \(-0.644568\pi\) |
0.173265 | + | 0.984875i | \(0.444568\pi\) | |||||||
\(720\) | 168.897 | + | 62.2392i | 0.234580 | + | 0.0864434i | ||||
\(721\) | −361.147 | + | 1111.50i | −0.500897 | + | 1.54160i | ||||
\(722\) | 213.635 | + | 69.4144i | 0.295894 | + | 0.0961418i | ||||
\(723\) | −483.997 | + | 756.862i | −0.669428 | + | 1.04684i | ||||
\(724\) | 129.810 | 0.179295 | ||||||||
\(725\) | 1179.73 | + | 1.35741i | 1.62722 | + | 0.00187229i | ||||
\(726\) | −14.7427 | − | 37.6150i | −0.0203067 | − | 0.0518113i | ||||
\(727\) | −454.130 | + | 329.945i | −0.624664 | + | 0.453845i | −0.854547 | − | 0.519373i | \(-0.826165\pi\) |
0.229884 | + | 0.973218i | \(0.426165\pi\) | |||||||
\(728\) | 434.900 | + | 141.308i | 0.597391 | + | 0.194104i | ||||
\(729\) | −683.226 | + | 254.250i | −0.937210 | + | 0.348765i | ||||
\(730\) | −683.123 | − | 108.599i | −0.935785 | − | 0.148766i | ||||
\(731\) | 318.759 | − | 103.571i | 0.436059 | − | 0.141684i | ||||
\(732\) | 46.7165 | − | 18.3099i | 0.0638204 | − | 0.0250135i | ||||
\(733\) | 157.971 | + | 486.184i | 0.215513 | + | 0.663280i | 0.999117 | + | 0.0420193i | \(0.0133791\pi\) |
−0.783604 | + | 0.621260i | \(0.786621\pi\) | |||||||
\(734\) | 230.075 | − | 316.671i | 0.313454 | − | 0.431432i | ||||
\(735\) | 57.0219 | + | 260.021i | 0.0775808 | + | 0.353770i | ||||
\(736\) | −9.81174 | + | 7.12864i | −0.0133312 | + | 0.00968566i | ||||
\(737\) | 877.643 | − | 1207.97i | 1.19083 | − | 1.63904i | ||||
\(738\) | −265.434 | + | 31.6695i | −0.359666 | + | 0.0429127i | ||||
\(739\) | 358.558 | − | 260.508i | 0.485194 | − | 0.352514i | −0.318139 | − | 0.948044i | \(-0.603058\pi\) |
0.803333 | + | 0.595530i | \(0.203058\pi\) | |||||||
\(740\) | −369.513 | + | 369.088i | −0.499342 | + | 0.498768i | ||||
\(741\) | −816.854 | − | 212.745i | −1.10237 | − | 0.287105i | ||||
\(742\) | −265.505 | − | 817.142i | −0.357824 | − | 1.10127i | ||||
\(743\) | 853.716i | 1.14901i | 0.818500 | + | 0.574506i | \(0.194806\pi\) | ||||
−0.818500 | + | 0.574506i | \(0.805194\pi\) | |||||||
\(744\) | −263.047 | + | 216.084i | −0.353558 | + | 0.290436i | ||||
\(745\) | 66.9397 | + | 424.220i | 0.0898520 | + | 0.569423i | ||||
\(746\) | 182.803 | + | 59.3963i | 0.245044 | + | 0.0796198i | ||||
\(747\) | −640.046 | + | 295.796i | −0.856823 | + | 0.395979i | ||||
\(748\) | 279.547 | − | 203.103i | 0.373725 | − | 0.271527i | ||||
\(749\) | 697.186i | 0.930823i | ||||||||
\(750\) | −213.139 | + | 485.615i | −0.284185 | + | 0.647487i | ||||
\(751\) | 595.126 | 0.792445 | 0.396222 | − | 0.918155i | \(-0.370321\pi\) | ||||
0.396222 | + | 0.918155i | \(0.370321\pi\) | |||||||
\(752\) | −86.5509 | − | 119.127i | −0.115094 | − | 0.158414i | ||||
\(753\) | −897.157 | + | 53.3319i | −1.19144 | + | 0.0708260i | ||||
\(754\) | 408.098 | − | 1256.00i | 0.541245 | − | 1.66578i | ||||
\(755\) | 1034.26 | − | 163.200i | 1.36988 | − | 0.216160i | ||||
\(756\) | 437.097 | + | 59.8289i | 0.578171 | + | 0.0791387i | ||||
\(757\) | −109.179 | −0.144226 | −0.0721129 | − | 0.997396i | \(-0.522974\pi\) | ||||
−0.0721129 | + | 0.997396i | \(0.522974\pi\) | |||||||
\(758\) | 234.490 | − | 76.1904i | 0.309354 | − | 0.100515i | ||||
\(759\) | 71.1092 | + | 18.5200i | 0.0936881 | + | 0.0244005i | ||||
\(760\) | 142.102 | + | 142.266i | 0.186977 | + | 0.187192i | ||||
\(761\) | −80.5362 | − | 110.849i | −0.105829 | − | 0.145662i | 0.752817 | − | 0.658230i | \(-0.228694\pi\) |
−0.858647 | + | 0.512568i | \(0.828694\pi\) | |||||||
\(762\) | 1.23285 | − | 4.73364i | 0.00161791 | − | 0.00621212i | ||||
\(763\) | 95.9224 | + | 69.6917i | 0.125717 | + | 0.0913391i | ||||
\(764\) | 73.9968 | + | 101.848i | 0.0968545 | + | 0.133309i | ||||
\(765\) | 565.687 | − | 378.280i | 0.739460 | − | 0.494483i | ||||
\(766\) | 732.657 | + | 532.306i | 0.956471 | + | 0.694917i | ||||
\(767\) | −139.329 | + | 45.2708i | −0.181655 | + | 0.0590232i | ||||
\(768\) | −44.6901 | + | 17.5156i | −0.0581902 | + | 0.0228068i | ||||
\(769\) | −404.111 | − | 1243.73i | −0.525502 | − | 1.61733i | −0.763322 | − | 0.646019i | \(-0.776433\pi\) |
0.237820 | − | 0.971309i | \(-0.423567\pi\) | |||||||
\(770\) | −103.621 | + | 651.813i | −0.134573 | + | 0.846510i | ||||
\(771\) | −177.448 | + | 10.5485i | −0.230153 | + | 0.0136815i | ||||
\(772\) | −8.05023 | + | 24.7761i | −0.0104278 | + | 0.0320934i | ||||
\(773\) | 683.328 | + | 940.521i | 0.883995 | + | 1.21672i | 0.975298 | + | 0.220892i | \(0.0708969\pi\) |
−0.0913029 | + | 0.995823i | \(0.529103\pi\) | |||||||
\(774\) | 191.679 | + | 206.966i | 0.247647 | + | 0.267398i | ||||
\(775\) | −588.599 | − | 812.101i | −0.759483 | − | 1.04787i | ||||
\(776\) | − | 96.3022i | − | 0.124101i | ||||||
\(777\) | −689.623 | + | 1078.41i | −0.887546 | + | 1.38792i | ||||
\(778\) | 108.547 | − | 334.072i | 0.139520 | − | 0.429398i | ||||
\(779\) | −284.004 | − | 92.2785i | −0.364575 | − | 0.118458i | ||||
\(780\) | 443.732 | + | 394.393i | 0.568887 | + | 0.505632i | ||||
\(781\) | 198.380 | + | 610.550i | 0.254007 | + | 0.781754i | ||||
\(782\) | 45.8513i | 0.0586334i | ||||||||
\(783\) | 172.787 | − | 1262.34i | 0.220673 | − | 1.61219i | ||||
\(784\) | −57.4294 | − | 41.7249i | −0.0732518 | − | 0.0532205i | ||||
\(785\) | −1216.73 | + | 191.994i | −1.54998 | + | 0.244579i | ||||
\(786\) | 250.330 | − | 391.459i | 0.318486 | − | 0.498040i | ||||
\(787\) | −252.611 | − | 183.532i | −0.320979 | − | 0.233205i | 0.415614 | − | 0.909541i | \(-0.363567\pi\) |
−0.736593 | + | 0.676336i | \(0.763567\pi\) | |||||||
\(788\) | 206.725 | − | 284.532i | 0.262341 | − | 0.361082i | ||||
\(789\) | −1178.18 | − | 753.418i | −1.49325 | − | 0.954902i | ||||
\(790\) | 135.480 | − | 68.9321i | 0.171493 | − | 0.0872559i | ||||
\(791\) | −927.771 | + | 1276.97i | −1.17291 | + | 1.61437i | ||||
\(792\) | 253.877 | + | 141.864i | 0.320551 | + | 0.179121i | ||||
\(793\) | 165.491 | 0.208689 | ||||||||
\(794\) | 405.763 | − | 131.840i | 0.511036 | − | 0.166046i | ||||
\(795\) | 109.450 | − | 1110.07i | 0.137673 | − | 1.39632i | ||||
\(796\) | 183.111 | − | 563.559i | 0.230040 | − | 0.707989i | ||||
\(797\) | 131.308 | + | 42.6647i | 0.164753 | + | 0.0535316i | 0.390232 | − | 0.920716i | \(-0.372395\pi\) |
−0.225479 | + | 0.974248i | \(0.572395\pi\) | |||||||
\(798\) | 415.199 | + | 265.511i | 0.520300 | + | 0.332720i | ||||
\(799\) | −556.695 | −0.696739 | ||||||||
\(800\) | −43.5468 | − | 134.550i | −0.0544335 | − | 0.168187i | ||||
\(801\) | 332.082 | + | 358.567i | 0.414585 | + | 0.447649i | ||||
\(802\) | −435.442 | + | 316.367i | −0.542945 | + | 0.394473i | ||||
\(803\) | −1062.88 | − | 345.350i | −1.32363 | − | 0.430074i | ||||
\(804\) | 46.5329 | + | 782.784i | 0.0578768 | + | 0.973611i | ||||
\(805\) | −61.8918 | − | 61.9630i | −0.0768842 | − | 0.0769727i | ||||
\(806\) | −1067.81 | + | 346.953i | −1.32483 | + | 0.430463i | ||||
\(807\) | −435.094 | − | 1110.12i | −0.539150 | − | 1.37561i | ||||
\(808\) | −14.7804 | − | 45.4893i | −0.0182925 | − | 0.0562986i | ||||
\(809\) | 85.8547 | − | 118.169i | 0.106124 | − | 0.146068i | −0.752651 | − | 0.658419i | \(-0.771225\pi\) |
0.858776 | + | 0.512351i | \(0.171225\pi\) | |||||||
\(810\) | 488.746 | + | 298.626i | 0.603390 | + | 0.368674i | ||||
\(811\) | 1036.00 | − | 752.698i | 1.27743 | − | 0.928110i | 0.277962 | − | 0.960592i | \(-0.410341\pi\) |
0.999472 | + | 0.0324815i | \(0.0103410\pi\) | |||||||
\(812\) | −453.218 | + | 623.801i | −0.558150 | + | 0.768228i | ||||
\(813\) | 123.656 | + | 32.2054i | 0.152098 | + | 0.0396131i | ||||
\(814\) | −682.669 | + | 495.988i | −0.838660 | + | 0.609322i | ||||
\(815\) | −59.0430 | − | 30.1267i | −0.0724454 | − | 0.0369653i | ||||
\(816\) | −45.7370 | + | 175.612i | −0.0560503 | + | 0.215211i | ||||
\(817\) | 97.3791 | + | 299.702i | 0.119191 | + | 0.366832i | ||||
\(818\) | − | 538.929i | − | 0.658838i | ||||||
\(819\) | 1270.20 | + | 709.778i | 1.55092 | + | 0.866640i | ||||
\(820\) | 148.423 | + | 148.594i | 0.181004 | + | 0.181213i | ||||
\(821\) | 1289.48 | + | 418.976i | 1.57062 | + | 0.510324i | 0.959618 | − | 0.281307i | \(-0.0907680\pi\) |
0.610999 | + | 0.791632i | \(0.290768\pi\) | |||||||
\(822\) | −19.2799 | − | 324.329i | −0.0234549 | − | 0.394561i | ||||
\(823\) | −1040.57 | + | 756.016i | −1.26436 | + | 0.918610i | −0.998963 | − | 0.0455292i | \(-0.985503\pi\) |
−0.265396 | + | 0.964140i | \(0.585503\pi\) | |||||||
\(824\) | − | 404.606i | − | 0.491026i | ||||||
\(825\) | −462.450 | + | 721.338i | −0.560546 | + | 0.874350i | ||||
\(826\) | 85.5345 | 0.103553 | ||||||||
\(827\) | 711.227 | + | 978.920i | 0.860008 | + | 1.18370i | 0.981567 | + | 0.191116i | \(0.0612106\pi\) |
−0.121559 | + | 0.992584i | \(0.538789\pi\) | |||||||
\(828\) | −35.0309 | + | 16.1895i | −0.0423078 | + | 0.0195525i | ||||
\(829\) | −376.859 | + | 1159.85i | −0.454595 | + | 1.39910i | 0.417015 | + | 0.908900i | \(0.363076\pi\) |
−0.871610 | + | 0.490200i | \(0.836924\pi\) | |||||||
\(830\) | 493.449 | + | 251.782i | 0.594516 | + | 0.303352i | ||||
\(831\) | −668.920 | − | 814.299i | −0.804957 | − | 0.979902i | ||||
\(832\) | −158.312 | −0.190279 | ||||||||
\(833\) | −255.239 | + | 82.9321i | −0.306409 | + | 0.0995584i | ||||
\(834\) | −212.054 | + | 814.203i | −0.254261 | + | 0.976262i | ||||
\(835\) | −171.985 | + | 87.5062i | −0.205970 | + | 0.104798i | ||||
\(836\) | 190.960 | + | 262.834i | 0.228421 | + | 0.314394i | ||||
\(837\) | −954.586 | + | 511.971i | −1.14048 | + | 0.611674i | ||||
\(838\) | 111.106 | + | 80.7232i | 0.132585 | + | 0.0963284i | ||||
\(839\) | −55.8737 | − | 76.9036i | −0.0665956 | − | 0.0916610i | 0.774420 | − | 0.632672i | \(-0.218042\pi\) |
−0.841016 | + | 0.541011i | \(0.818042\pi\) | |||||||
\(840\) | −175.239 | − | 299.058i | −0.208617 | − | 0.356021i | ||||
\(841\) | 1121.16 | + | 814.572i | 1.33313 | + | 0.968576i | ||||
\(842\) | −336.427 | + | 109.312i | −0.399557 | + | 0.129824i | ||||
\(843\) | 519.691 | + | 1325.96i | 0.616478 | + | 1.57291i | ||||
\(844\) | 86.6919 | + | 266.810i | 0.102716 | + | 0.316126i | ||||
\(845\) | 504.731 | + | 992.000i | 0.597314 | + | 1.17396i | ||||
\(846\) | −196.561 | − | 425.320i | −0.232342 | − | 0.502743i | ||||
\(847\) | −24.0410 | + | 73.9905i | −0.0283837 | + | 0.0873560i | ||||
\(848\) | 174.840 | + | 240.646i | 0.206179 | + | 0.283781i | ||||
\(849\) | −294.820 | + | 115.550i | −0.347256 | + | 0.136102i | ||||
\(850\) | −508.303 | − | 165.804i | −0.598003 | − | 0.195064i | ||||
\(851\) | − | 111.972i | − | 0.131577i | ||||||
\(852\) | −284.039 | − | 181.637i | −0.333379 | − | 0.213189i | ||||
\(853\) | 376.565 | − | 1158.95i | 0.441460 | − | 1.35867i | −0.444860 | − | 0.895600i | \(-0.646747\pi\) |
0.886320 | − | 0.463074i | \(-0.153253\pi\) | |||||||
\(854\) | −91.8937 | − | 29.8581i | −0.107604 | − | 0.0349626i | ||||
\(855\) | 355.664 | + | 531.867i | 0.415981 | + | 0.622067i | ||||
\(856\) | −74.5867 | − | 229.554i | −0.0871340 | − | 0.268171i | ||||
\(857\) | 1122.46i | 1.30976i | 0.755734 | + | 0.654879i | \(0.227280\pi\) | ||||
−0.755734 | + | 0.654879i | \(0.772720\pi\) | |||||||
\(858\) | 608.850 | + | 741.174i | 0.709616 | + | 0.863840i | ||||
\(859\) | −344.804 | − | 250.515i | −0.401402 | − | 0.291636i | 0.368710 | − | 0.929545i | \(-0.379800\pi\) |
−0.770112 | + | 0.637909i | \(0.779800\pi\) | |||||||
\(860\) | 34.7968 | − | 218.883i | 0.0404614 | − | 0.254516i | ||||
\(861\) | 433.669 | + | 277.322i | 0.503681 | + | 0.322093i | ||||
\(862\) | −162.906 | − | 118.358i | −0.188986 | − | 0.137306i | ||||
\(863\) | 184.161 | − | 253.476i | 0.213396 | − | 0.293715i | −0.688878 | − | 0.724877i | \(-0.741896\pi\) |
0.902274 | + | 0.431162i | \(0.141896\pi\) | |||||||
\(864\) | −150.318 | + | 27.0626i | −0.173980 | + | 0.0313224i | ||||
\(865\) | −1017.22 | − | 1018.39i | −1.17597 | − | 1.17733i | ||||
\(866\) | −261.160 | + | 359.456i | −0.301570 | + | 0.415076i | ||||
\(867\) | −114.846 | − | 139.806i | −0.132464 | − | 0.161253i | ||||
\(868\) | 655.533 | 0.755222 | ||||||||
\(869\) | 233.577 | − | 75.8937i | 0.268788 | − | 0.0873345i | ||||
\(870\) | −863.682 | + | 506.091i | −0.992738 | + | 0.581714i | ||||
\(871\) | −799.213 | + | 2459.72i | −0.917581 | + | 2.82402i | ||||
\(872\) | −39.0390 | − | 12.6846i | −0.0447695 | − | 0.0145465i | ||||
\(873\) | 59.4989 | − | 300.600i | 0.0681545 | − | 0.344330i | ||||
\(874\) | −43.1101 | −0.0493250 | ||||||||
\(875\) | 910.724 | − | 462.059i | 1.04083 | − | 0.528067i | ||||
\(876\) | 546.456 | − | 214.175i | 0.623808 | − | 0.244492i | ||||
\(877\) | 406.741 | − | 295.515i | 0.463787 | − | 0.336961i | −0.331228 | − | 0.943551i | \(-0.607463\pi\) |
0.795015 | + | 0.606590i | \(0.207463\pi\) | |||||||
\(878\) | 249.515 | + | 81.0722i | 0.284185 | + | 0.0923374i | ||||
\(879\) | 911.243 | − | 54.1693i | 1.03668 | − | 0.0616260i | ||||
\(880\) | −35.6143 | − | 225.700i | −0.0404708 | − | 0.256478i | ||||
\(881\) | −600.757 | + | 195.198i | −0.681903 | + | 0.221564i | −0.629428 | − | 0.777058i | \(-0.716711\pi\) |
−0.0524748 | + | 0.998622i | \(0.516711\pi\) | |||||||
\(882\) | −153.482 | − | 165.723i | −0.174016 | − | 0.187895i | ||||
\(883\) | −392.777 | − | 1208.84i | −0.444821 | − | 1.36902i | −0.882680 | − | 0.469974i | \(-0.844263\pi\) |
0.437860 | − | 0.899043i | \(-0.355737\pi\) | |||||||
\(884\) | −351.800 | + | 484.212i | −0.397964 | + | 0.547751i | ||||
\(885\) | 101.734 | + | 44.5122i | 0.114954 | + | 0.0502963i | ||||
\(886\) | 566.429 | − | 411.535i | 0.639310 | − | 0.464486i | ||||
\(887\) | 996.483 | − | 1371.54i | 1.12343 | − | 1.54627i | 0.323449 | − | 0.946246i | \(-0.395158\pi\) |
0.799982 | − | 0.600024i | \(-0.204842\pi\) | |||||||
\(888\) | 111.692 | − | 428.854i | 0.125780 | − | 0.482944i | ||||
\(889\) | −7.62048 | + | 5.53661i | −0.00857197 | + | 0.00622790i | ||||
\(890\) | 60.2853 | − | 379.214i | 0.0677363 | − | 0.426083i | ||||
\(891\) | 704.807 | + | 599.671i | 0.791030 | + | 0.673031i | ||||
\(892\) | 141.064 | + | 434.151i | 0.158144 | + | 0.486716i | ||||
\(893\) | − | 523.412i | − | 0.586128i | ||||||
\(894\) | −231.316 | − | 281.589i | −0.258743 | − | 0.314976i | ||||
\(895\) | −856.314 | − | 136.132i | −0.956776 | − | 0.152103i | ||||
\(896\) | 87.9075 | + | 28.5629i | 0.0981111 | + | 0.0318782i | ||||
\(897\) | −127.055 | + | 7.55285i | −0.141645 | + | 0.00842012i | ||||
\(898\) | −965.928 | + | 701.788i | −1.07564 | + | 0.781501i | ||||
\(899\) | − | 1893.19i | − | 2.10588i | ||||||
\(900\) | −52.7984 | − | 446.892i | −0.0586648 | − | 0.496547i | ||||
\(901\) | 1124.57 | 1.24813 | ||||||||
\(902\) | 199.455 | + | 274.526i | 0.221125 | + | 0.304352i | ||||
\(903\) | −32.2345 | − | 542.254i | −0.0356972 | − | 0.600503i | ||||
\(904\) | 168.863 | − | 519.707i | 0.186796 | − | 0.574898i | ||||
\(905\) | −147.164 | − | 289.238i | −0.162613 | − | 0.319600i | ||||
\(906\) | −686.520 | + | 563.953i | −0.757748 | + | 0.622465i | ||||
\(907\) | −1632.25 | −1.79962 | −0.899808 | − | 0.436287i | \(-0.856293\pi\) | ||||
−0.899808 | + | 0.436287i | \(0.856293\pi\) | |||||||
\(908\) | 184.097 | − | 59.8166i | 0.202750 | − | 0.0658773i | ||||
\(909\) | −18.0309 | − | 151.123i | −0.0198360 | − | 0.166252i | ||||
\(910\) | −178.187 | − | 1129.23i | −0.195810 | − | 1.24091i | ||||
\(911\) | 608.264 | + | 837.204i | 0.667689 | + | 0.918994i | 0.999705 | − | 0.0242790i | \(-0.00772902\pi\) |
−0.332017 | + | 0.943274i | \(0.607729\pi\) | |||||||
\(912\) | −165.113 | − | 43.0026i | −0.181045 | − | 0.0471520i | ||||
\(913\) | 724.109 | + | 526.096i | 0.793109 | + | 0.576228i | ||||
\(914\) | 446.553 | + | 614.628i | 0.488570 | + | 0.672459i | ||||
\(915\) | −93.7598 | − | 83.3346i | −0.102470 | − | 0.0910760i | ||||
\(916\) | −527.130 | − | 382.982i | −0.575469 | − | 0.418103i | ||||
\(917\) | −850.975 | + | 276.499i | −0.927999 | + | 0.301525i | ||||
\(918\) | −251.264 | + | 519.901i | −0.273708 | + | 0.566341i | ||||
\(919\) | 466.695 | + | 1436.34i | 0.507829 | + | 1.56294i | 0.795961 | + | 0.605347i | \(0.206966\pi\) |
−0.288132 | + | 0.957591i | \(0.593034\pi\) | |||||||
\(920\) | 27.0073 | + | 13.7805i | 0.0293558 | + | 0.0149788i | ||||
\(921\) | 45.2591 | + | 761.355i | 0.0491412 | + | 0.826661i | ||||
\(922\) | −195.310 | + | 601.102i | −0.211833 | + | 0.651954i | ||||
\(923\) | −653.603 | − | 899.608i | −0.708129 | − | 0.974656i | ||||
\(924\) | −204.359 | − | 521.409i | −0.221167 | − | 0.564296i | ||||
\(925\) | 1241.31 | + | 404.904i | 1.34195 | + | 0.437734i | ||||
\(926\) | 481.744i | 0.520242i | ||||||||
\(927\) | 249.980 | − | 1262.95i | 0.269665 | − | 1.36240i | ||||
\(928\) | 82.4900 | − | 253.878i | 0.0888901 | − | 0.273575i | ||||
\(929\) | −397.912 | − | 129.289i | −0.428323 | − | 0.139170i | 0.0869191 | − | 0.996215i | \(-0.472298\pi\) |
−0.515242 | + | 0.857045i | \(0.672298\pi\) | |||||||
\(930\) | 779.688 | + | 341.140i | 0.838374 | + | 0.366817i | ||||
\(931\) | −77.9740 | − | 239.979i | −0.0837529 | − | 0.257765i | ||||
\(932\) | − | 330.050i | − | 0.354131i | ||||||
\(933\) | 32.1330 | − | 26.3962i | 0.0344405 | − | 0.0282917i | ||||
\(934\) | −623.719 | − | 453.158i | −0.667793 | − | 0.485180i | ||||
\(935\) | −769.467 | − | 392.621i | −0.822960 | − | 0.419915i | ||||
\(936\) | −494.159 | − | 97.8107i | −0.527947 | − | 0.104499i | ||||
\(937\) | 338.812 | + | 246.162i | 0.361593 | + | 0.262712i | 0.753716 | − | 0.657200i | \(-0.228259\pi\) |
−0.392123 | + | 0.919913i | \(0.628259\pi\) | |||||||
\(938\) | 887.575 | − | 1221.64i | 0.946242 | − | 1.30239i | ||||
\(939\) | 175.986 | − | 275.202i | 0.187418 | − | 0.293080i | ||||
\(940\) | −167.313 | + | 327.904i | −0.177993 | + | 0.348834i | ||||
\(941\) | −90.7130 | + | 124.856i | −0.0964007 | + | 0.132684i | −0.854493 | − | 0.519464i | \(-0.826132\pi\) |
0.758092 | + | 0.652148i | \(0.226132\pi\) | |||||||
\(942\) | 807.644 | − | 663.453i | 0.857372 | − | 0.704303i | ||||
\(943\) | −45.0278 | −0.0477495 | ||||||||
\(944\) | −28.1629 | + | 9.15069i | −0.0298336 | + | 0.00969353i | ||||
\(945\) | −362.226 | − | 1041.75i | −0.383308 | − | 1.10238i | ||||
\(946\) | 110.655 | − | 340.562i | 0.116972 | − | 0.360003i | ||||
\(947\) | 1397.36 | + | 454.031i | 1.47557 | + | 0.479441i | 0.932786 | − | 0.360431i | \(-0.117371\pi\) |
0.542783 | + | 0.839873i | \(0.317371\pi\) | |||||||
\(948\) | −69.4884 | + | 108.664i | −0.0733000 | + | 0.114625i | ||||
\(949\) | 1935.79 | 2.03982 | ||||||||
\(950\) | 155.892 | − | 477.914i | 0.164097 | − | 0.503067i | ||||
\(951\) | 36.2851 | + | 92.5794i | 0.0381547 | + | 0.0973495i | ||||
\(952\) | 282.710 | − | 205.401i | 0.296964 | − | 0.215757i | ||||
\(953\) | 1028.70 | + | 334.245i | 1.07943 | + | 0.350729i | 0.794155 | − | 0.607716i | \(-0.207914\pi\) |
0.285278 | + | 0.958445i | \(0.407914\pi\) | |||||||
\(954\) | 397.069 | + | 859.180i | 0.416215 | + | 0.900608i | ||||
\(955\) | 143.045 | − | 280.342i | 0.149785 | − | 0.293552i | ||||
\(956\) | −605.847 | + | 196.851i | −0.633731 | + | 0.205912i | ||||
\(957\) | −1505.84 | + | 590.191i | −1.57350 | + | 0.616709i | ||||
\(958\) | 200.157 | + | 616.021i | 0.208933 | + | 0.643028i | ||||
\(959\) | −367.747 | + | 506.160i | −0.383469 | + | 0.527800i | ||||
\(960\) | 89.6927 | + | 79.7197i | 0.0934299 | + | 0.0830413i | ||||
\(961\) | −524.673 | + | 381.197i | −0.545966 | + | 0.396667i | ||||
\(962\) | 859.117 | − | 1182.47i | 0.893053 | − | 1.22918i | ||||
\(963\) | −90.9899 | − | 762.618i | −0.0944859 | − | 0.791919i | ||||
\(964\) | −484.538 | + | 352.038i | −0.502633 | + | 0.365184i | ||||
\(965\) | 64.3318 | − | 10.1512i | 0.0666651 | − | 0.0105194i | ||||
\(966\) | 71.9139 | + | 18.7295i | 0.0744451 | + | 0.0193887i | ||||
\(967\) | 285.066 | + | 877.343i | 0.294794 | + | 0.907283i | 0.983291 | + | 0.182043i | \(0.0582711\pi\) |
−0.688496 | + | 0.725240i | \(0.741729\pi\) | |||||||
\(968\) | − | 26.9340i | − | 0.0278243i | ||||||
\(969\) | −498.440 | + | 409.452i | −0.514386 | + | 0.422551i | ||||
\(970\) | −214.577 | + | 109.177i | −0.221214 | + | 0.112554i | ||||
\(971\) | 150.836 | + | 49.0095i | 0.155341 | + | 0.0504732i | 0.385655 | − | 0.922643i | \(-0.373975\pi\) |
−0.230314 | + | 0.973116i | \(0.573975\pi\) | |||||||
\(972\) | −485.927 | − | 8.39830i | −0.499925 | − | 0.00864023i | ||||
\(973\) | 1310.75 | − | 952.316i | 1.34712 | − | 0.978742i | ||||
\(974\) | 353.620i | 0.363060i | ||||||||
\(975\) | 375.718 | − | 1435.83i | 0.385352 | − | 1.47265i | ||||
\(976\) | 33.4510 | 0.0342736 | ||||||||
\(977\) | −454.644 | − | 625.764i | −0.465347 | − | 0.640496i | 0.510260 | − | 0.860020i | \(-0.329549\pi\) |
−0.975607 | + | 0.219525i | \(0.929549\pi\) | |||||||
\(978\) | 56.1455 | − | 3.33760i | 0.0574085 | − | 0.00341268i | ||||
\(979\) | 191.710 | − | 590.022i | 0.195822 | − | 0.602678i | ||||
\(980\) | −27.8627 | + | 175.266i | −0.0284314 | + | 0.178843i | ||||
\(981\) | −114.020 | − | 63.7135i | −0.116229 | − | 0.0649475i | ||||
\(982\) | −501.771 | −0.510969 | ||||||||
\(983\) | −239.699 | + | 77.8830i | −0.243845 | + | 0.0792299i | −0.428390 | − | 0.903594i | \(-0.640919\pi\) |
0.184545 | + | 0.982824i | \(0.440919\pi\) | |||||||
\(984\) | −172.458 | − | 44.9155i | −0.175262 | − | 0.0456459i | ||||
\(985\) | −868.349 | − | 138.045i | −0.881572 | − | 0.140147i | ||||
\(986\) | −593.200 | − | 816.470i | −0.601623 | − | 0.828063i | ||||
\(987\) | −227.401 | + | 873.128i | −0.230396 | + | 0.884628i | ||||
\(988\) | −455.263 | − | 330.768i | −0.460792 | − | 0.334785i | ||||
\(989\) | 27.9296 | + | 38.4418i | 0.0282402 | + | 0.0388693i | ||||
\(990\) | 28.2782 | − | 726.510i | 0.0285639 | − | 0.733849i | ||||
\(991\) | −1032.77 | − | 750.353i | −1.04215 | − | 0.757167i | −0.0714470 | − | 0.997444i | \(-0.522762\pi\) |
−0.970704 | + | 0.240277i | \(0.922762\pi\) | |||||||
\(992\) | −215.840 | + | 70.1305i | −0.217580 | + | 0.0706961i | ||||
\(993\) | 71.8832 | − | 28.1736i | 0.0723899 | − | 0.0283722i | ||||
\(994\) | 200.624 | + | 617.459i | 0.201835 | + | 0.621186i | ||||
\(995\) | −1463.30 | + | 230.901i | −1.47065 | + | 0.232061i | ||||
\(996\) | −469.233 | + | 27.8938i | −0.471118 | + | 0.0280058i | ||||
\(997\) | −119.525 | + | 367.860i | −0.119884 | + | 0.368966i | −0.992934 | − | 0.118664i | \(-0.962139\pi\) |
0.873050 | + | 0.487631i | \(0.162139\pi\) | |||||||
\(998\) | −54.2096 | − | 74.6131i | −0.0543182 | − | 0.0747627i | ||||
\(999\) | 613.601 | − | 1269.63i | 0.614215 | − | 1.27090i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 150.3.j.a.11.16 | yes | 80 | |
3.2 | odd | 2 | inner | 150.3.j.a.11.4 | ✓ | 80 | |
25.16 | even | 5 | inner | 150.3.j.a.41.4 | yes | 80 | |
75.41 | odd | 10 | inner | 150.3.j.a.41.16 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.j.a.11.4 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.3.j.a.11.16 | yes | 80 | 1.1 | even | 1 | trivial | |
150.3.j.a.41.4 | yes | 80 | 25.16 | even | 5 | inner | |
150.3.j.a.41.16 | yes | 80 | 75.41 | odd | 10 | inner |