Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.55 | ||
Character | \(\chi\) | \(=\) | 216.101 |
Dual form | 216.3.x.a.77.55 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.49290 | − | 1.33088i | 0.746451 | − | 0.665440i | ||||
\(3\) | 2.63546 | − | 1.43329i | 0.878488 | − | 0.477764i | ||||
\(4\) | 0.457514 | − | 3.97375i | 0.114378 | − | 0.993437i | ||||
\(5\) | 1.71984 | + | 9.75368i | 0.343967 | + | 1.95074i | 0.308014 | + | 0.951382i | \(0.400336\pi\) |
0.0359534 | + | 0.999353i | \(0.488553\pi\) | |||||||
\(6\) | 2.02695 | − | 5.64725i | 0.337825 | − | 0.941209i | ||||
\(7\) | 4.26266 | + | 3.57680i | 0.608952 | + | 0.510971i | 0.894309 | − | 0.447450i | \(-0.147668\pi\) |
−0.285357 | + | 0.958421i | \(0.592112\pi\) | |||||||
\(8\) | −4.60556 | − | 6.54131i | −0.575695 | − | 0.817664i | ||||
\(9\) | 4.89134 | − | 7.55479i | 0.543482 | − | 0.839421i | ||||
\(10\) | 15.5485 | + | 12.2724i | 1.55485 | + | 1.22724i | ||||
\(11\) | 2.25849 | − | 12.8085i | 0.205317 | − | 1.16441i | −0.691623 | − | 0.722259i | \(-0.743104\pi\) |
0.896940 | − | 0.442152i | \(-0.145785\pi\) | |||||||
\(12\) | −4.48979 | − | 11.1284i | −0.374149 | − | 0.927369i | ||||
\(13\) | −2.65254 | + | 7.28778i | −0.204041 | + | 0.560599i | −0.998934 | − | 0.0461507i | \(-0.985305\pi\) |
0.794893 | + | 0.606749i | \(0.207527\pi\) | |||||||
\(14\) | 11.1240 | − | 0.333285i | 0.794574 | − | 0.0238061i | ||||
\(15\) | 18.5124 | + | 23.2404i | 1.23416 | + | 1.54936i | ||||
\(16\) | −15.5814 | − | 3.63609i | −0.973835 | − | 0.227256i | ||||
\(17\) | −6.20949 | + | 3.58505i | −0.365264 | + | 0.210885i | −0.671387 | − | 0.741107i | \(-0.734301\pi\) |
0.306123 | + | 0.951992i | \(0.400968\pi\) | |||||||
\(18\) | −2.75222 | − | 17.7883i | −0.152901 | − | 0.988241i | ||||
\(19\) | 12.6300 | + | 7.29191i | 0.664735 | + | 0.383785i | 0.794079 | − | 0.607815i | \(-0.207954\pi\) |
−0.129344 | + | 0.991600i | \(0.541287\pi\) | |||||||
\(20\) | 39.5455 | − | 2.37176i | 1.97728 | − | 0.118588i | ||||
\(21\) | 16.3607 | + | 3.31688i | 0.779081 | + | 0.157947i | ||||
\(22\) | −13.6749 | − | 22.1277i | −0.621587 | − | 1.00580i | ||||
\(23\) | −28.7434 | − | 34.2550i | −1.24971 | − | 1.48935i | −0.804535 | − | 0.593905i | \(-0.797585\pi\) |
−0.445177 | − | 0.895443i | \(-0.646859\pi\) | |||||||
\(24\) | −21.5134 | − | 10.6383i | −0.896392 | − | 0.443262i | ||||
\(25\) | −68.6841 | + | 24.9990i | −2.74736 | + | 0.999958i | ||||
\(26\) | 5.73919 | + | 14.4102i | 0.220738 | + | 0.554237i | ||||
\(27\) | 2.06273 | − | 26.9211i | 0.0763974 | − | 0.997077i | ||||
\(28\) | 16.1635 | − | 15.3023i | 0.577269 | − | 0.546512i | ||||
\(29\) | −20.5013 | + | 7.46185i | −0.706941 | + | 0.257305i | −0.670371 | − | 0.742026i | \(-0.733865\pi\) |
−0.0365693 | + | 0.999331i | \(0.511643\pi\) | |||||||
\(30\) | 58.5675 | + | 10.0578i | 1.95225 | + | 0.335261i | ||||
\(31\) | −4.24682 | + | 3.56350i | −0.136994 | + | 0.114952i | −0.708710 | − | 0.705500i | \(-0.750722\pi\) |
0.571716 | + | 0.820452i | \(0.306278\pi\) | |||||||
\(32\) | −28.1006 | + | 15.3086i | −0.878145 | + | 0.478394i | ||||
\(33\) | −12.4062 | − | 36.9935i | −0.375946 | − | 1.12101i | ||||
\(34\) | −4.49889 | + | 13.6162i | −0.132320 | + | 0.400477i | ||||
\(35\) | −27.5559 | + | 47.7282i | −0.787310 | + | 1.36366i | ||||
\(36\) | −27.7830 | − | 22.8934i | −0.771749 | − | 0.635927i | ||||
\(37\) | 38.3496 | − | 22.1412i | 1.03648 | − | 0.598410i | 0.117643 | − | 0.993056i | \(-0.462466\pi\) |
0.918833 | + | 0.394646i | \(0.129133\pi\) | |||||||
\(38\) | 28.5600 | − | 5.92286i | 0.751578 | − | 0.155865i | ||||
\(39\) | 3.45487 | + | 23.0085i | 0.0885863 | + | 0.589963i | ||||
\(40\) | 55.8811 | − | 56.1712i | 1.39703 | − | 1.40428i | ||||
\(41\) | −10.1553 | + | 27.9014i | −0.247690 | + | 0.680522i | 0.752080 | + | 0.659072i | \(0.229051\pi\) |
−0.999770 | + | 0.0214502i | \(0.993172\pi\) | |||||||
\(42\) | 28.8393 | − | 16.8224i | 0.686650 | − | 0.400532i | ||||
\(43\) | 35.2830 | + | 6.22135i | 0.820536 | + | 0.144683i | 0.568130 | − | 0.822939i | \(-0.307667\pi\) |
0.252406 | + | 0.967621i | \(0.418778\pi\) | |||||||
\(44\) | −49.8646 | − | 14.8347i | −1.13329 | − | 0.337153i | ||||
\(45\) | 82.0992 | + | 34.7156i | 1.82443 | + | 0.771457i | ||||
\(46\) | −88.5004 | − | 12.8854i | −1.92392 | − | 0.280117i | ||||
\(47\) | −35.4512 | + | 42.2491i | −0.754281 | + | 0.898917i | −0.997472 | − | 0.0710618i | \(-0.977361\pi\) |
0.243191 | + | 0.969978i | \(0.421806\pi\) | |||||||
\(48\) | −46.2757 | + | 12.7499i | −0.964077 | + | 0.265623i | ||||
\(49\) | −3.13195 | − | 17.7622i | −0.0639174 | − | 0.362494i | ||||
\(50\) | −69.2680 | + | 128.731i | −1.38536 | + | 2.57463i | ||||
\(51\) | −11.2265 | + | 18.3483i | −0.220127 | + | 0.359770i | ||||
\(52\) | 27.7462 | + | 13.8748i | 0.533582 | + | 0.266823i | ||||
\(53\) | 4.60365 | 0.0868614 | 0.0434307 | − | 0.999056i | \(-0.486171\pi\) | ||||
0.0434307 | + | 0.999056i | \(0.486171\pi\) | |||||||
\(54\) | −32.7493 | − | 42.9358i | −0.606469 | − | 0.795107i | ||||
\(55\) | 128.814 | 2.34208 | ||||||||
\(56\) | 3.76501 | − | 44.3566i | 0.0672323 | − | 0.792082i | ||||
\(57\) | 43.7373 | + | 1.11513i | 0.767320 | + | 0.0195637i | ||||
\(58\) | −20.6756 | + | 38.4246i | −0.356475 | + | 0.662493i | ||||
\(59\) | 1.03048 | + | 5.84412i | 0.0174657 | + | 0.0990529i | 0.992294 | − | 0.123902i | \(-0.0395409\pi\) |
−0.974829 | + | 0.222955i | \(0.928430\pi\) | |||||||
\(60\) | 100.821 | − | 62.9310i | 1.68036 | − | 1.04885i | ||||
\(61\) | 15.9131 | − | 18.9645i | 0.260871 | − | 0.310894i | −0.619671 | − | 0.784861i | \(-0.712734\pi\) |
0.880542 | + | 0.473967i | \(0.157179\pi\) | |||||||
\(62\) | −1.59749 | + | 10.9720i | −0.0257659 | + | 0.176967i | ||||
\(63\) | 47.8721 | − | 14.7082i | 0.759875 | − | 0.233463i | ||||
\(64\) | −21.5776 | + | 60.2529i | −0.337150 | + | 0.941451i | ||||
\(65\) | −75.6446 | − | 13.3382i | −1.16376 | − | 0.205203i | ||||
\(66\) | −67.7552 | − | 38.7165i | −1.02659 | − | 0.586613i | ||||
\(67\) | −17.6886 | + | 48.5992i | −0.264010 | + | 0.725360i | 0.734878 | + | 0.678200i | \(0.237240\pi\) |
−0.998887 | + | 0.0471608i | \(0.984983\pi\) | |||||||
\(68\) | 11.4052 | + | 26.3152i | 0.167723 | + | 0.386988i | ||||
\(69\) | −124.850 | − | 49.0802i | −1.80941 | − | 0.711307i | ||||
\(70\) | 22.3823 | + | 107.927i | 0.319747 | + | 1.54181i | ||||
\(71\) | 4.25660 | − | 2.45755i | 0.0599521 | − | 0.0346134i | −0.469724 | − | 0.882813i | \(-0.655647\pi\) |
0.529676 | + | 0.848200i | \(0.322313\pi\) | |||||||
\(72\) | −71.9456 | + | 2.79824i | −0.999244 | + | 0.0388644i | ||||
\(73\) | 12.4961 | − | 21.6439i | 0.171179 | − | 0.296491i | −0.767653 | − | 0.640866i | \(-0.778576\pi\) |
0.938832 | + | 0.344374i | \(0.111909\pi\) | |||||||
\(74\) | 27.7850 | − | 84.0934i | 0.375473 | − | 1.13640i | ||||
\(75\) | −145.184 | + | 164.328i | −1.93578 | + | 2.19104i | ||||
\(76\) | 34.7546 | − | 46.8522i | 0.457297 | − | 0.616476i | ||||
\(77\) | 55.4407 | − | 46.5203i | 0.720009 | − | 0.604159i | ||||
\(78\) | 35.7794 | + | 29.7515i | 0.458710 | + | 0.381429i | ||||
\(79\) | −23.6964 | + | 8.62477i | −0.299954 | + | 0.109174i | −0.487613 | − | 0.873060i | \(-0.662132\pi\) |
0.187659 | + | 0.982234i | \(0.439910\pi\) | |||||||
\(80\) | 8.66784 | − | 158.229i | 0.108348 | − | 1.97786i | ||||
\(81\) | −33.1496 | − | 73.9061i | −0.409254 | − | 0.912421i | ||||
\(82\) | 21.9726 | + | 55.1695i | 0.267958 | + | 0.672799i | ||||
\(83\) | 48.7598 | − | 17.7471i | 0.587468 | − | 0.213821i | −0.0311477 | − | 0.999515i | \(-0.509916\pi\) |
0.618615 | + | 0.785694i | \(0.287694\pi\) | |||||||
\(84\) | 20.6657 | − | 63.4958i | 0.246020 | − | 0.755902i | ||||
\(85\) | −45.6467 | − | 54.3996i | −0.537020 | − | 0.639996i | ||||
\(86\) | 60.9540 | − | 37.6696i | 0.708767 | − | 0.438019i | ||||
\(87\) | −43.3354 | + | 49.0498i | −0.498108 | + | 0.563791i | ||||
\(88\) | −94.1862 | + | 44.2170i | −1.07030 | + | 0.502466i | ||||
\(89\) | 67.3836 | + | 38.9039i | 0.757119 | + | 0.437123i | 0.828260 | − | 0.560343i | \(-0.189331\pi\) |
−0.0711413 | + | 0.997466i | \(0.522664\pi\) | |||||||
\(90\) | 168.768 | − | 57.4373i | 1.87520 | − | 0.638193i | ||||
\(91\) | −37.3738 | + | 21.5778i | −0.410701 | + | 0.237118i | ||||
\(92\) | −149.271 | + | 98.5468i | −1.62251 | + | 1.07116i | ||||
\(93\) | −6.08479 | + | 15.4784i | −0.0654279 | + | 0.166435i | ||||
\(94\) | 3.30333 | + | 110.255i | 0.0351418 | + | 1.17293i | ||||
\(95\) | −49.4015 | + | 135.729i | −0.520016 | + | 1.42873i | ||||
\(96\) | −52.1165 | + | 80.6218i | −0.542880 | + | 0.839810i | ||||
\(97\) | 16.0169 | − | 90.8366i | 0.165123 | − | 0.936459i | −0.783814 | − | 0.620995i | \(-0.786729\pi\) |
0.948937 | − | 0.315464i | \(-0.102160\pi\) | |||||||
\(98\) | −28.3151 | − | 22.3490i | −0.288929 | − | 0.228051i | ||||
\(99\) | −85.7186 | − | 79.7133i | −0.865845 | − | 0.805184i | ||||
\(100\) | 67.9157 | + | 284.371i | 0.679157 | + | 2.84371i | ||||
\(101\) | −69.7226 | − | 58.5042i | −0.690323 | − | 0.579250i | 0.228679 | − | 0.973502i | \(-0.426559\pi\) |
−0.919002 | + | 0.394252i | \(0.871004\pi\) | |||||||
\(102\) | 7.65938 | + | 42.3333i | 0.0750920 | + | 0.415032i | ||||
\(103\) | 19.0768 | + | 108.190i | 0.185211 | + | 1.05039i | 0.925684 | + | 0.378298i | \(0.123491\pi\) |
−0.740472 | + | 0.672087i | \(0.765398\pi\) | |||||||
\(104\) | 59.8881 | − | 16.2133i | 0.575847 | − | 0.155897i | ||||
\(105\) | −4.21404 | + | 165.281i | −0.0401337 | + | 1.57411i | ||||
\(106\) | 6.87280 | − | 6.12691i | 0.0648378 | − | 0.0578011i | ||||
\(107\) | 89.7069 | 0.838382 | 0.419191 | − | 0.907898i | \(-0.362314\pi\) | ||||
0.419191 | + | 0.907898i | \(0.362314\pi\) | |||||||
\(108\) | −106.034 | − | 20.5135i | −0.981796 | − | 0.189940i | ||||
\(109\) | 173.984i | 1.59618i | 0.602538 | + | 0.798090i | \(0.294156\pi\) | ||||
−0.602538 | + | 0.798090i | \(0.705844\pi\) | |||||||
\(110\) | 192.307 | − | 171.437i | 1.74825 | − | 1.55851i | ||||
\(111\) | 69.3343 | − | 113.318i | 0.624633 | − | 1.02089i | ||||
\(112\) | −53.4126 | − | 71.2308i | −0.476898 | − | 0.635990i | ||||
\(113\) | −130.865 | + | 23.0750i | −1.15809 | + | 0.204203i | −0.719507 | − | 0.694486i | \(-0.755632\pi\) |
−0.438587 | + | 0.898689i | \(0.644521\pi\) | |||||||
\(114\) | 66.7796 | − | 56.5443i | 0.585786 | − | 0.496003i | ||||
\(115\) | 284.678 | − | 339.266i | 2.47546 | − | 2.95014i | ||||
\(116\) | 20.2719 | + | 84.8808i | 0.174758 | + | 0.731731i | ||||
\(117\) | 42.0832 | + | 55.6864i | 0.359685 | + | 0.475952i | ||||
\(118\) | 9.31622 | + | 7.35326i | 0.0789511 | + | 0.0623157i | ||||
\(119\) | −39.2920 | − | 6.92823i | −0.330185 | − | 0.0582205i | ||||
\(120\) | 66.7628 | − | 228.131i | 0.556356 | − | 1.90109i | ||||
\(121\) | −45.2547 | − | 16.4714i | −0.374006 | − | 0.136127i | ||||
\(122\) | −1.48278 | − | 49.4907i | −0.0121539 | − | 0.405661i | ||||
\(123\) | 13.2270 | + | 88.0886i | 0.107537 | + | 0.716167i | ||||
\(124\) | 12.2175 | + | 18.5061i | 0.0985281 | + | 0.149243i | ||||
\(125\) | −238.155 | − | 412.497i | −1.90524 | − | 3.29998i | ||||
\(126\) | 51.8935 | − | 85.6699i | 0.411854 | − | 0.679920i | ||||
\(127\) | 52.3565 | − | 90.6841i | 0.412256 | − | 0.714048i | −0.582880 | − | 0.812558i | \(-0.698074\pi\) |
0.995136 | + | 0.0985101i | \(0.0314077\pi\) | |||||||
\(128\) | 47.9761 | + | 118.669i | 0.374814 | + | 0.927100i | ||||
\(129\) | 101.904 | − | 34.1748i | 0.789955 | − | 0.264921i | ||||
\(130\) | −130.682 | + | 80.7613i | −1.00524 | + | 0.621241i | ||||
\(131\) | −110.912 | + | 93.0659i | −0.846654 | + | 0.710427i | −0.959050 | − | 0.283237i | \(-0.908592\pi\) |
0.112396 | + | 0.993663i | \(0.464147\pi\) | |||||||
\(132\) | −152.679 | + | 32.3741i | −1.15666 | + | 0.245259i | ||||
\(133\) | 27.7556 | + | 76.2578i | 0.208689 | + | 0.573367i | ||||
\(134\) | 38.2723 | + | 96.0953i | 0.285614 | + | 0.717129i | ||||
\(135\) | 266.127 | − | 26.1807i | 1.97131 | − | 0.193931i | ||||
\(136\) | 52.0491 | + | 24.1070i | 0.382714 | + | 0.177258i | ||||
\(137\) | −67.4163 | − | 185.225i | −0.492090 | − | 1.35201i | −0.898764 | − | 0.438432i | \(-0.855534\pi\) |
0.406674 | − | 0.913573i | \(-0.366688\pi\) | |||||||
\(138\) | −251.708 | + | 92.8880i | −1.82397 | + | 0.673101i | ||||
\(139\) | −5.99986 | − | 7.15036i | −0.0431645 | − | 0.0514414i | 0.744030 | − | 0.668146i | \(-0.232912\pi\) |
−0.787195 | + | 0.616704i | \(0.788467\pi\) | |||||||
\(140\) | 177.053 | + | 131.336i | 1.26466 | + | 0.938117i | ||||
\(141\) | −32.8750 | + | 162.158i | −0.233156 | + | 1.15006i | ||||
\(142\) | 3.08398 | − | 9.33390i | 0.0217182 | − | 0.0657317i | ||||
\(143\) | 87.3550 | + | 50.4344i | 0.610874 | + | 0.352688i | ||||
\(144\) | −103.684 | + | 99.9285i | −0.720025 | + | 0.693948i | ||||
\(145\) | −108.039 | − | 187.130i | −0.745099 | − | 1.29055i | ||||
\(146\) | −10.1500 | − | 48.9430i | −0.0695203 | − | 0.335226i | ||||
\(147\) | −33.7126 | − | 42.3226i | −0.229337 | − | 0.287909i | ||||
\(148\) | −70.4380 | − | 162.522i | −0.475932 | − | 1.09812i | ||||
\(149\) | 25.7741 | + | 9.38099i | 0.172980 | + | 0.0629597i | 0.427059 | − | 0.904224i | \(-0.359550\pi\) |
−0.254078 | + | 0.967184i | \(0.581772\pi\) | |||||||
\(150\) | 1.95646 | + | 438.548i | 0.0130431 | + | 2.92365i | ||||
\(151\) | 24.5322 | − | 139.129i | 0.162465 | − | 0.921385i | −0.789175 | − | 0.614169i | \(-0.789491\pi\) |
0.951640 | − | 0.307216i | \(-0.0993974\pi\) | |||||||
\(152\) | −10.4694 | − | 116.200i | −0.0688776 | − | 0.764473i | ||||
\(153\) | −3.28844 | + | 64.4471i | −0.0214931 | + | 0.421223i | ||||
\(154\) | 20.8546 | − | 143.235i | 0.135420 | − | 0.930099i | ||||
\(155\) | −42.0611 | − | 35.2934i | −0.271362 | − | 0.227700i | ||||
\(156\) | 93.0108 | − | 3.20205i | 0.596223 | − | 0.0205259i | ||||
\(157\) | 30.8968 | − | 5.44794i | 0.196795 | − | 0.0347003i | −0.0743817 | − | 0.997230i | \(-0.523698\pi\) |
0.271177 | + | 0.962530i | \(0.412587\pi\) | |||||||
\(158\) | −23.8978 | + | 44.4130i | −0.151252 | + | 0.281095i | ||||
\(159\) | 12.1328 | − | 6.59838i | 0.0763067 | − | 0.0414993i | ||||
\(160\) | −197.644 | − | 247.756i | −1.23527 | − | 1.54848i | ||||
\(161\) | − | 248.827i | − | 1.54551i | ||||||
\(162\) | −147.849 | − | 66.2164i | −0.912649 | − | 0.408743i | ||||
\(163\) | − | 46.0783i | − | 0.282689i | −0.989960 | − | 0.141345i | \(-0.954857\pi\) | ||
0.989960 | − | 0.141345i | \(-0.0451426\pi\) | |||||||
\(164\) | 106.227 | + | 53.1198i | 0.647725 | + | 0.323901i | ||||
\(165\) | 339.486 | − | 184.629i | 2.05749 | − | 1.11896i | ||||
\(166\) | 49.1743 | − | 91.3882i | 0.296231 | − | 0.550531i | ||||
\(167\) | 146.645 | − | 25.8574i | 0.878112 | − | 0.154835i | 0.283621 | − | 0.958937i | \(-0.408464\pi\) |
0.594492 | + | 0.804102i | \(0.297353\pi\) | |||||||
\(168\) | −53.6535 | − | 122.297i | −0.319366 | − | 0.727956i | ||||
\(169\) | 83.3857 | + | 69.9689i | 0.493406 | + | 0.414017i | ||||
\(170\) | −140.546 | − | 20.4630i | −0.826738 | − | 0.120371i | ||||
\(171\) | 116.866 | − | 59.7494i | 0.683429 | − | 0.349412i | ||||
\(172\) | 40.8646 | − | 137.360i | 0.237585 | − | 0.798602i | ||||
\(173\) | −43.7768 | + | 248.271i | −0.253045 | + | 1.43509i | 0.547995 | + | 0.836481i | \(0.315391\pi\) |
−0.801041 | + | 0.598610i | \(0.795720\pi\) | |||||||
\(174\) | 0.583977 | + | 130.901i | 0.00335619 | + | 0.752303i | ||||
\(175\) | −382.193 | − | 139.107i | −2.18396 | − | 0.794897i | ||||
\(176\) | −81.7633 | + | 191.362i | −0.464564 | + | 1.08729i | ||||
\(177\) | 11.0921 | + | 13.9250i | 0.0626673 | + | 0.0786723i | ||||
\(178\) | 152.374 | − | 31.5998i | 0.856032 | − | 0.177527i | ||||
\(179\) | 11.5353 | + | 19.9797i | 0.0644429 | + | 0.111618i | 0.896447 | − | 0.443151i | \(-0.146140\pi\) |
−0.832004 | + | 0.554770i | \(0.812806\pi\) | |||||||
\(180\) | 175.512 | − | 310.359i | 0.975069 | − | 1.72422i | ||||
\(181\) | 201.674 | + | 116.437i | 1.11422 | + | 0.643297i | 0.939920 | − | 0.341395i | \(-0.110900\pi\) |
0.174303 | + | 0.984692i | \(0.444233\pi\) | |||||||
\(182\) | −27.0780 | + | 81.9536i | −0.148780 | + | 0.450294i | ||||
\(183\) | 14.7568 | − | 72.7885i | 0.0806380 | − | 0.397752i | ||||
\(184\) | −91.6934 | + | 345.783i | −0.498334 | + | 1.87926i | ||||
\(185\) | 281.913 | + | 335.971i | 1.52385 | + | 1.81606i | ||||
\(186\) | 11.5159 | + | 31.2059i | 0.0619136 | + | 0.167774i | ||||
\(187\) | 31.8951 | + | 87.6312i | 0.170562 | + | 0.468616i | ||||
\(188\) | 151.668 | + | 160.204i | 0.806744 | + | 0.852147i | ||||
\(189\) | 105.084 | − | 107.378i | 0.556000 | − | 0.568135i | ||||
\(190\) | 106.888 | + | 268.378i | 0.562569 | + | 1.41252i | ||||
\(191\) | −30.4059 | − | 83.5394i | −0.159193 | − | 0.437379i | 0.834295 | − | 0.551319i | \(-0.185875\pi\) |
−0.993488 | + | 0.113940i | \(0.963653\pi\) | |||||||
\(192\) | 29.4931 | + | 189.721i | 0.153610 | + | 0.988132i | ||||
\(193\) | 170.172 | − | 142.791i | 0.881721 | − | 0.739851i | −0.0848116 | − | 0.996397i | \(-0.527029\pi\) |
0.966532 | + | 0.256546i | \(0.0825844\pi\) | |||||||
\(194\) | −96.9809 | − | 156.927i | −0.499902 | − | 0.808901i | ||||
\(195\) | −218.476 | + | 73.2686i | −1.12039 | + | 0.375736i | ||||
\(196\) | −72.0154 | + | 4.31915i | −0.367425 | + | 0.0220365i | ||||
\(197\) | 126.317 | − | 218.788i | 0.641205 | − | 1.11060i | −0.343960 | − | 0.938984i | \(-0.611768\pi\) |
0.985164 | − | 0.171614i | \(-0.0548983\pi\) | |||||||
\(198\) | −234.058 | − | 4.92284i | −1.18211 | − | 0.0248628i | ||||
\(199\) | −11.1684 | − | 19.3442i | −0.0561225 | − | 0.0972070i | 0.836599 | − | 0.547815i | \(-0.184540\pi\) |
−0.892722 | + | 0.450608i | \(0.851207\pi\) | |||||||
\(200\) | 479.855 | + | 334.150i | 2.39927 | + | 1.67075i | ||||
\(201\) | 23.0390 | + | 153.434i | 0.114622 | + | 0.763355i | ||||
\(202\) | −181.951 | + | 5.45140i | −0.900749 | + | 0.0269871i | ||||
\(203\) | −114.080 | − | 41.5216i | −0.561969 | − | 0.204540i | ||||
\(204\) | 67.7752 | + | 53.0057i | 0.332232 | + | 0.259832i | ||||
\(205\) | −289.607 | − | 51.0654i | −1.41271 | − | 0.249100i | ||||
\(206\) | 172.467 | + | 136.128i | 0.837220 | + | 0.660814i | ||||
\(207\) | −399.383 | + | 49.5970i | −1.92939 | + | 0.239599i | ||||
\(208\) | 67.8291 | − | 103.909i | 0.326102 | − | 0.499561i | ||||
\(209\) | 121.923 | − | 145.302i | 0.583365 | − | 0.695227i | ||||
\(210\) | 213.679 | + | 252.357i | 1.01752 | + | 1.20170i | ||||
\(211\) | 33.3917 | − | 5.88786i | 0.158254 | − | 0.0279045i | −0.0939595 | − | 0.995576i | \(-0.529952\pi\) |
0.252214 | + | 0.967671i | \(0.418841\pi\) | |||||||
\(212\) | 2.10623 | − | 18.2938i | 0.00993507 | − | 0.0862913i | ||||
\(213\) | 7.69573 | − | 12.5777i | 0.0361302 | − | 0.0590504i | ||||
\(214\) | 133.924 | − | 119.389i | 0.625811 | − | 0.557893i | ||||
\(215\) | 354.839i | 1.65041i | ||||||||
\(216\) | −185.599 | + | 110.494i | −0.859256 | + | 0.511545i | ||||
\(217\) | −30.8487 | −0.142160 | ||||||||
\(218\) | 231.551 | + | 259.741i | 1.06216 | + | 1.19147i | ||||
\(219\) | 1.91099 | − | 74.9522i | 0.00872600 | − | 0.342247i | ||||
\(220\) | 58.9344 | − | 511.876i | 0.267883 | − | 2.32671i | ||||
\(221\) | −9.65617 | − | 54.7629i | −0.0436931 | − | 0.247796i | ||||
\(222\) | −47.3041 | − | 261.449i | −0.213082 | − | 1.17770i | ||||
\(223\) | 184.486 | + | 154.802i | 0.827291 | + | 0.694180i | 0.954667 | − | 0.297675i | \(-0.0962110\pi\) |
−0.127376 | + | 0.991855i | \(0.540655\pi\) | |||||||
\(224\) | −174.539 | − | 35.2549i | −0.779194 | − | 0.157388i | ||||
\(225\) | −147.095 | + | 641.172i | −0.653757 | + | 2.84965i | ||||
\(226\) | −164.658 | + | 208.614i | −0.728575 | + | 0.923070i | ||||
\(227\) | −20.7509 | + | 117.684i | −0.0914138 | + | 0.518434i | 0.904374 | + | 0.426742i | \(0.140339\pi\) |
−0.995787 | + | 0.0916920i | \(0.970772\pi\) | |||||||
\(228\) | 24.4416 | − | 173.291i | 0.107200 | − | 0.760047i | ||||
\(229\) | −59.2653 | + | 162.830i | −0.258800 | + | 0.711048i | 0.740442 | + | 0.672121i | \(0.234616\pi\) |
−0.999242 | + | 0.0389274i | \(0.987606\pi\) | |||||||
\(230\) | −26.5262 | − | 885.365i | −0.115331 | − | 3.84941i | ||||
\(231\) | 79.4348 | − | 202.065i | 0.343874 | − | 0.874742i | ||||
\(232\) | 143.230 | + | 99.7393i | 0.617372 | + | 0.429911i | ||||
\(233\) | −169.571 | + | 97.9018i | −0.727772 | + | 0.420180i | −0.817607 | − | 0.575777i | \(-0.804700\pi\) |
0.0898344 | + | 0.995957i | \(0.471366\pi\) | |||||||
\(234\) | 136.938 | + | 27.1266i | 0.585205 | + | 0.115926i | ||||
\(235\) | −473.054 | − | 273.118i | −2.01300 | − | 1.16220i | ||||
\(236\) | 23.6945 | − | 1.42109i | 0.100401 | − | 0.00602156i | ||||
\(237\) | −50.0891 | + | 56.6941i | −0.211346 | + | 0.239216i | ||||
\(238\) | −67.8797 | + | 41.9497i | −0.285209 | + | 0.176259i | ||||
\(239\) | −211.872 | − | 252.499i | −0.886492 | − | 1.05648i | −0.998031 | − | 0.0627200i | \(-0.980022\pi\) |
0.111539 | − | 0.993760i | \(-0.464422\pi\) | |||||||
\(240\) | −203.945 | − | 429.431i | −0.849770 | − | 1.78929i | ||||
\(241\) | 59.0258 | − | 21.4836i | 0.244920 | − | 0.0891437i | −0.216643 | − | 0.976251i | \(-0.569511\pi\) |
0.461564 | + | 0.887107i | \(0.347289\pi\) | |||||||
\(242\) | −89.4823 | + | 35.6385i | −0.369762 | + | 0.147267i | ||||
\(243\) | −193.294 | − | 147.264i | −0.795447 | − | 0.606024i | ||||
\(244\) | −68.0798 | − | 71.9113i | −0.279016 | − | 0.294719i | ||||
\(245\) | 167.860 | − | 61.0961i | 0.685144 | − | 0.249372i | ||||
\(246\) | 136.982 | + | 113.904i | 0.556838 | + | 0.463025i | ||||
\(247\) | −86.6433 | + | 72.7024i | −0.350783 | + | 0.294342i | ||||
\(248\) | 42.8690 | + | 11.3678i | 0.172859 | + | 0.0458380i | ||||
\(249\) | 103.068 | − | 116.659i | 0.413927 | − | 0.468510i | ||||
\(250\) | −904.527 | − | 298.861i | −3.61811 | − | 1.19545i | ||||
\(251\) | 111.927 | − | 193.862i | 0.445923 | − | 0.772360i | −0.552193 | − | 0.833716i | \(-0.686209\pi\) |
0.998116 | + | 0.0613556i | \(0.0195424\pi\) | |||||||
\(252\) | −36.5444 | − | 196.961i | −0.145018 | − | 0.781591i | ||||
\(253\) | −503.673 | + | 290.796i | −1.99080 | + | 1.14939i | ||||
\(254\) | −42.5266 | − | 205.063i | −0.167428 | − | 0.807334i | ||||
\(255\) | −198.271 | − | 77.9432i | −0.777533 | − | 0.305659i | ||||
\(256\) | 229.558 | + | 113.310i | 0.896710 | + | 0.442619i | ||||
\(257\) | −6.97383 | + | 19.1605i | −0.0271355 | + | 0.0745543i | −0.952521 | − | 0.304474i | \(-0.901519\pi\) |
0.925385 | + | 0.379028i | \(0.123742\pi\) | |||||||
\(258\) | 106.650 | − | 186.642i | 0.413374 | − | 0.723418i | ||||
\(259\) | 242.666 | + | 42.7886i | 0.936935 | + | 0.165207i | ||||
\(260\) | −87.6110 | + | 294.490i | −0.336965 | + | 1.13265i | ||||
\(261\) | −43.9060 | + | 191.381i | −0.168222 | + | 0.733261i | ||||
\(262\) | −41.7206 | + | 286.548i | −0.159239 | + | 1.09370i | ||||
\(263\) | 121.375 | − | 144.649i | 0.461502 | − | 0.549997i | −0.484232 | − | 0.874940i | \(-0.660901\pi\) |
0.945734 | + | 0.324943i | \(0.105345\pi\) | |||||||
\(264\) | −184.848 | + | 251.529i | −0.700184 | + | 0.952760i | ||||
\(265\) | 7.91753 | + | 44.9025i | 0.0298775 | + | 0.169444i | ||||
\(266\) | 142.926 | + | 76.9061i | 0.537317 | + | 0.289121i | ||||
\(267\) | 233.348 | + | 5.94947i | 0.873962 | + | 0.0222827i | ||||
\(268\) | 185.028 | + | 92.5250i | 0.690403 | + | 0.345243i | ||||
\(269\) | −102.985 | −0.382845 | −0.191422 | − | 0.981508i | \(-0.561310\pi\) | ||||
−0.191422 | + | 0.981508i | \(0.561310\pi\) | |||||||
\(270\) | 362.458 | − | 393.269i | 1.34244 | − | 1.45655i | ||||
\(271\) | −28.4123 | −0.104842 | −0.0524212 | − | 0.998625i | \(-0.516694\pi\) | ||||
−0.0524212 | + | 0.998625i | \(0.516694\pi\) | |||||||
\(272\) | 109.788 | − | 33.2817i | 0.403632 | − | 0.122359i | ||||
\(273\) | −67.5700 | + | 110.435i | −0.247509 | + | 0.404524i | ||||
\(274\) | −347.158 | − | 186.799i | −1.26700 | − | 0.681750i | ||||
\(275\) | 165.078 | + | 936.201i | 0.600282 | + | 3.40437i | ||||
\(276\) | −252.153 | + | 473.666i | −0.913597 | + | 1.71618i | ||||
\(277\) | −32.7632 | + | 39.0457i | −0.118279 | + | 0.140959i | −0.821935 | − | 0.569582i | \(-0.807105\pi\) |
0.703656 | + | 0.710541i | \(0.251550\pi\) | |||||||
\(278\) | −18.4735 | − | 2.68968i | −0.0664514 | − | 0.00967512i | ||||
\(279\) | 6.14887 | + | 49.5141i | 0.0220390 | + | 0.177470i | ||||
\(280\) | 439.115 | − | 39.5634i | 1.56827 | − | 0.141298i | ||||
\(281\) | 457.814 | + | 80.7250i | 1.62923 | + | 0.287278i | 0.912195 | − | 0.409757i | \(-0.134387\pi\) |
0.717037 | + | 0.697035i | \(0.245498\pi\) | |||||||
\(282\) | 166.734 | + | 285.839i | 0.591254 | + | 1.01361i | ||||
\(283\) | 5.83443 | − | 16.0300i | 0.0206164 | − | 0.0566430i | −0.928958 | − | 0.370186i | \(-0.879294\pi\) |
0.949574 | + | 0.313543i | \(0.101516\pi\) | |||||||
\(284\) | −7.81823 | − | 18.0390i | −0.0275290 | − | 0.0635177i | ||||
\(285\) | 64.3443 | + | 428.517i | 0.225769 | + | 1.50357i | ||||
\(286\) | 197.535 | − | 40.9654i | 0.690681 | − | 0.143236i | ||||
\(287\) | −143.086 | + | 82.6109i | −0.498558 | + | 0.287843i | ||||
\(288\) | −21.7966 | + | 287.174i | −0.0756826 | + | 0.997132i | ||||
\(289\) | −118.795 | + | 205.759i | −0.411055 | + | 0.711968i | ||||
\(290\) | −410.339 | − | 135.579i | −1.41496 | − | 0.467513i | ||||
\(291\) | −87.9834 | − | 262.353i | −0.302348 | − | 0.901558i | ||||
\(292\) | −80.2902 | − | 59.5587i | −0.274966 | − | 0.203968i | ||||
\(293\) | −237.404 | + | 199.206i | −0.810254 | + | 0.679884i | −0.950668 | − | 0.310209i | \(-0.899601\pi\) |
0.140414 | + | 0.990093i | \(0.455157\pi\) | |||||||
\(294\) | −106.656 | − | 18.3161i | −0.362775 | − | 0.0622996i | ||||
\(295\) | −55.2294 | + | 20.1019i | −0.187218 | + | 0.0681419i | ||||
\(296\) | −321.454 | − | 148.884i | −1.08599 | − | 0.502988i | ||||
\(297\) | −340.161 | − | 87.2215i | −1.14532 | − | 0.293675i | ||||
\(298\) | 50.9631 | − | 20.2973i | 0.171017 | − | 0.0681118i | ||||
\(299\) | 325.886 | − | 118.613i | 1.08992 | − | 0.396698i | ||||
\(300\) | 586.576 | + | 652.105i | 1.95525 | + | 2.17368i | ||||
\(301\) | 128.147 | + | 152.720i | 0.425738 | + | 0.507375i | ||||
\(302\) | −148.540 | − | 240.356i | −0.491854 | − | 0.795879i | ||||
\(303\) | −267.605 | − | 54.2528i | −0.883185 | − | 0.179052i | ||||
\(304\) | −170.278 | − | 159.542i | −0.560125 | − | 0.524808i | ||||
\(305\) | 212.342 | + | 122.596i | 0.696203 | + | 0.401953i | ||||
\(306\) | 80.8620 | + | 100.590i | 0.264255 | + | 0.328724i | ||||
\(307\) | 330.195 | − | 190.638i | 1.07555 | − | 0.620971i | 0.145860 | − | 0.989305i | \(-0.453405\pi\) |
0.929693 | + | 0.368334i | \(0.120072\pi\) | |||||||
\(308\) | −159.495 | − | 241.591i | −0.517841 | − | 0.784387i | ||||
\(309\) | 205.344 | + | 257.787i | 0.664542 | + | 0.834263i | ||||
\(310\) | −109.764 | + | 3.28863i | −0.354079 | + | 0.0106085i | ||||
\(311\) | −84.1216 | + | 231.122i | −0.270487 | + | 0.743158i | 0.727862 | + | 0.685724i | \(0.240514\pi\) |
−0.998349 | + | 0.0574343i | \(0.981708\pi\) | |||||||
\(312\) | 134.595 | − | 128.567i | 0.431393 | − | 0.412073i | ||||
\(313\) | −26.7864 | + | 151.913i | −0.0855796 | + | 0.485346i | 0.911650 | + | 0.410967i | \(0.134809\pi\) |
−0.997230 | + | 0.0743795i | \(0.976302\pi\) | |||||||
\(314\) | 38.8754 | − | 49.2532i | 0.123807 | − | 0.156857i | ||||
\(315\) | 225.791 | + | 441.633i | 0.716796 | + | 1.40201i | ||||
\(316\) | 23.4313 | + | 98.1093i | 0.0741496 | + | 0.310473i | ||||
\(317\) | −91.1316 | − | 76.4685i | −0.287481 | − | 0.241225i | 0.487630 | − | 0.873051i | \(-0.337862\pi\) |
−0.775111 | + | 0.631825i | \(0.782306\pi\) | |||||||
\(318\) | 9.33136 | − | 25.9980i | 0.0293439 | − | 0.0817547i | ||||
\(319\) | 49.2735 | + | 279.444i | 0.154462 | + | 0.875999i | ||||
\(320\) | −624.797 | − | 106.836i | −1.95249 | − | 0.333862i | ||||
\(321\) | 236.419 | − | 128.576i | 0.736509 | − | 0.400549i | ||||
\(322\) | −331.159 | − | 371.474i | −1.02844 | − | 1.15365i | ||||
\(323\) | −104.567 | −0.323738 | ||||||||
\(324\) | −308.851 | + | 97.9150i | −0.953242 | + | 0.302207i | ||||
\(325\) | − | 566.865i | − | 1.74420i | ||||||
\(326\) | −61.3248 | − | 68.7905i | −0.188113 | − | 0.211014i | ||||
\(327\) | 249.370 | + | 458.528i | 0.762598 | + | 1.40222i | ||||
\(328\) | 229.283 | − | 62.0727i | 0.699032 | − | 0.189246i | ||||
\(329\) | −302.233 | + | 53.2918i | −0.918641 | + | 0.161981i | ||||
\(330\) | 261.100 | − | 727.448i | 0.791213 | − | 2.20439i | ||||
\(331\) | 173.867 | − | 207.207i | 0.525278 | − | 0.626002i | −0.436542 | − | 0.899684i | \(-0.643797\pi\) |
0.961820 | + | 0.273682i | \(0.0882415\pi\) | |||||||
\(332\) | −48.2143 | − | 201.879i | −0.145224 | − | 0.608069i | ||||
\(333\) | 20.3093 | − | 398.023i | 0.0609890 | − | 1.19526i | ||||
\(334\) | 184.513 | − | 233.769i | 0.552435 | − | 0.699908i | ||||
\(335\) | −504.442 | − | 88.9467i | −1.50580 | − | 0.265513i | ||||
\(336\) | −242.862 | − | 111.170i | −0.722802 | − | 0.330864i | ||||
\(337\) | −280.942 | − | 102.255i | −0.833657 | − | 0.303426i | −0.110298 | − | 0.993899i | \(-0.535181\pi\) |
−0.723359 | + | 0.690472i | \(0.757403\pi\) | |||||||
\(338\) | 217.607 | − | 6.51967i | 0.643808 | − | 0.0192890i | ||||
\(339\) | −311.816 | + | 248.381i | −0.919810 | + | 0.732686i | ||||
\(340\) | −237.055 | + | 156.500i | −0.697219 | + | 0.460294i | ||||
\(341\) | 36.0518 | + | 62.4436i | 0.105724 | + | 0.183119i | ||||
\(342\) | 94.9506 | − | 244.735i | 0.277633 | − | 0.715600i | ||||
\(343\) | 186.512 | − | 323.048i | 0.543766 | − | 0.941831i | ||||
\(344\) | −121.802 | − | 259.450i | −0.354077 | − | 0.754216i | ||||
\(345\) | 263.991 | − | 1302.15i | 0.765192 | − | 3.77435i | ||||
\(346\) | 265.064 | + | 428.906i | 0.766082 | + | 1.23961i | ||||
\(347\) | 498.321 | − | 418.141i | 1.43608 | − | 1.20502i | 0.494079 | − | 0.869417i | \(-0.335505\pi\) |
0.942004 | − | 0.335600i | \(-0.108939\pi\) | |||||||
\(348\) | 175.085 | + | 194.645i | 0.503118 | + | 0.559324i | ||||
\(349\) | 46.9520 | + | 129.000i | 0.134533 | + | 0.369627i | 0.988606 | − | 0.150527i | \(-0.0480970\pi\) |
−0.854073 | + | 0.520153i | \(0.825875\pi\) | |||||||
\(350\) | −755.712 | + | 300.981i | −2.15918 | + | 0.859944i | ||||
\(351\) | 190.724 | + | 86.4419i | 0.543372 | + | 0.246273i | ||||
\(352\) | 132.616 | + | 394.502i | 0.376749 | + | 1.12074i | ||||
\(353\) | 137.407 | + | 377.522i | 0.389254 | + | 1.06947i | 0.967338 | + | 0.253490i | \(0.0815786\pi\) |
−0.578084 | + | 0.815978i | \(0.696199\pi\) | |||||||
\(354\) | 35.0919 | + | 6.02636i | 0.0991298 | + | 0.0170236i | ||||
\(355\) | 31.2908 | + | 37.2909i | 0.0881431 | + | 0.105045i | ||||
\(356\) | 185.423 | − | 249.966i | 0.520852 | − | 0.702153i | ||||
\(357\) | −113.483 | + | 38.0578i | −0.317879 | + | 0.106604i | ||||
\(358\) | 43.8116 | + | 14.4756i | 0.122379 | + | 0.0404348i | ||||
\(359\) | −222.599 | − | 128.518i | −0.620053 | − | 0.357988i | 0.156837 | − | 0.987625i | \(-0.449870\pi\) |
−0.776889 | + | 0.629637i | \(0.783204\pi\) | |||||||
\(360\) | −151.028 | − | 696.922i | −0.419522 | − | 1.93589i | ||||
\(361\) | −74.1560 | − | 128.442i | −0.205418 | − | 0.355795i | ||||
\(362\) | 456.043 | − | 94.5758i | 1.25979 | − | 0.261259i | ||||
\(363\) | −142.876 | + | 21.4536i | −0.393597 | + | 0.0591008i | ||||
\(364\) | 68.6456 | + | 158.386i | 0.188587 | + | 0.435127i | ||||
\(365\) | 232.599 | + | 84.6589i | 0.637256 | + | 0.231942i | ||||
\(366\) | −74.8425 | − | 128.306i | −0.204488 | − | 0.350562i | ||||
\(367\) | 46.2150 | − | 262.098i | 0.125926 | − | 0.714164i | −0.854827 | − | 0.518913i | \(-0.826337\pi\) |
0.980753 | − | 0.195251i | \(-0.0625522\pi\) | |||||||
\(368\) | 323.307 | + | 638.253i | 0.878550 | + | 1.73438i | ||||
\(369\) | 161.116 | + | 213.196i | 0.436629 | + | 0.577767i | ||||
\(370\) | 868.005 | + | 126.379i | 2.34596 | + | 0.341565i | ||||
\(371\) | 19.6238 | + | 16.4663i | 0.0528944 | + | 0.0443837i | ||||
\(372\) | 58.7235 | + | 31.2610i | 0.157859 | + | 0.0840350i | ||||
\(373\) | −64.2974 | + | 11.3374i | −0.172379 | + | 0.0303951i | −0.259171 | − | 0.965831i | \(-0.583449\pi\) |
0.0867923 | + | 0.996226i | \(0.472338\pi\) | |||||||
\(374\) | 164.243 | + | 88.3762i | 0.439152 | + | 0.236300i | ||||
\(375\) | −1218.88 | − | 745.775i | −3.25034 | − | 1.98873i | ||||
\(376\) | 439.637 | + | 37.3166i | 1.16925 | + | 0.0992462i | ||||
\(377\) | − | 169.202i | − | 0.448811i | ||||||
\(378\) | 13.9735 | − | 300.159i | 0.0369669 | − | 0.794070i | ||||
\(379\) | 549.332i | 1.44942i | 0.689052 | + | 0.724712i | \(0.258027\pi\) | ||||
−0.689052 | + | 0.724712i | \(0.741973\pi\) | |||||||
\(380\) | 516.753 | + | 258.407i | 1.35988 | + | 0.680019i | ||||
\(381\) | 8.00673 | − | 314.037i | 0.0210150 | − | 0.824244i | ||||
\(382\) | −156.574 | − | 84.2496i | −0.409880 | − | 0.220549i | ||||
\(383\) | 578.941 | − | 102.083i | 1.51160 | − | 0.266535i | 0.644472 | − | 0.764628i | \(-0.277077\pi\) |
0.867124 | + | 0.498093i | \(0.165966\pi\) | |||||||
\(384\) | 296.527 | + | 243.984i | 0.772205 | + | 0.635374i | ||||
\(385\) | 549.093 | + | 460.743i | 1.42621 | + | 1.19674i | ||||
\(386\) | 64.0120 | − | 439.652i | 0.165834 | − | 1.13900i | ||||
\(387\) | 219.582 | − | 236.125i | 0.567396 | − | 0.610142i | ||||
\(388\) | −353.634 | − | 105.206i | −0.911427 | − | 0.271150i | ||||
\(389\) | −9.65754 | + | 54.7707i | −0.0248266 | + | 0.140799i | −0.994702 | − | 0.102805i | \(-0.967218\pi\) |
0.969875 | + | 0.243603i | \(0.0783295\pi\) | |||||||
\(390\) | −228.652 | + | 400.148i | −0.586287 | + | 1.02602i | ||||
\(391\) | 301.287 | + | 109.660i | 0.770556 | + | 0.280460i | ||||
\(392\) | −101.764 | + | 102.292i | −0.259601 | + | 0.260949i | ||||
\(393\) | −158.913 | + | 404.241i | −0.404358 | + | 1.02860i | ||||
\(394\) | −102.601 | − | 494.742i | −0.260409 | − | 1.25569i | ||||
\(395\) | −124.877 | − | 216.293i | −0.316145 | − | 0.547578i | ||||
\(396\) | −355.978 | + | 304.154i | −0.898934 | + | 0.768067i | ||||
\(397\) | −471.589 | − | 272.272i | −1.18788 | − | 0.685823i | −0.230057 | − | 0.973177i | \(-0.573891\pi\) |
−0.957824 | + | 0.287354i | \(0.907224\pi\) | |||||||
\(398\) | −42.4181 | − | 14.0152i | −0.106578 | − | 0.0352141i | ||||
\(399\) | 182.449 | + | 161.193i | 0.457265 | + | 0.403992i | ||||
\(400\) | 1161.09 | − | 139.776i | 2.90272 | − | 0.349441i | ||||
\(401\) | 141.044 | + | 168.090i | 0.351732 | + | 0.419178i | 0.912681 | − | 0.408673i | \(-0.134008\pi\) |
−0.560949 | + | 0.827850i | \(0.689564\pi\) | |||||||
\(402\) | 238.598 | + | 198.400i | 0.593527 | + | 0.493533i | ||||
\(403\) | −14.7052 | − | 40.4022i | −0.0364893 | − | 0.100254i | ||||
\(404\) | −264.380 | + | 250.294i | −0.654406 | + | 0.619539i | ||||
\(405\) | 663.844 | − | 450.437i | 1.63912 | − | 1.11219i | ||||
\(406\) | −225.570 | + | 89.8387i | −0.555591 | + | 0.221278i | ||||
\(407\) | −196.983 | − | 541.208i | −0.483989 | − | 1.32975i | ||||
\(408\) | 171.726 | − | 11.0684i | 0.420897 | − | 0.0271285i | ||||
\(409\) | −456.362 | + | 382.933i | −1.11580 | + | 0.936267i | −0.998385 | − | 0.0568158i | \(-0.981905\pi\) |
−0.117415 | + | 0.993083i | \(0.537461\pi\) | |||||||
\(410\) | −500.316 | + | 309.196i | −1.22028 | + | 0.754137i | ||||
\(411\) | −443.155 | − | 391.526i | −1.07824 | − | 0.952618i | ||||
\(412\) | 438.646 | − | 26.3080i | 1.06468 | − | 0.0638544i | ||||
\(413\) | −16.5107 | + | 28.5973i | −0.0399774 | + | 0.0692429i | ||||
\(414\) | −530.232 | + | 605.574i | −1.28075 | + | 1.46274i | ||||
\(415\) | 256.959 | + | 445.065i | 0.619177 | + | 1.07245i | ||||
\(416\) | −37.0278 | − | 245.398i | −0.0890092 | − | 0.589899i | ||||
\(417\) | −26.0610 | − | 10.2449i | −0.0624964 | − | 0.0245682i | ||||
\(418\) | −11.3608 | − | 379.188i | −0.0271789 | − | 0.907148i | ||||
\(419\) | 567.154 | + | 206.427i | 1.35359 | + | 0.492666i | 0.914066 | − | 0.405565i | \(-0.132925\pi\) |
0.439523 | + | 0.898231i | \(0.355147\pi\) | |||||||
\(420\) | 654.859 | + | 92.3641i | 1.55919 | + | 0.219914i | ||||
\(421\) | 693.928 | + | 122.358i | 1.64829 | + | 0.290637i | 0.919202 | − | 0.393787i | \(-0.128835\pi\) |
0.729084 | + | 0.684424i | \(0.239946\pi\) | |||||||
\(422\) | 42.0145 | − | 53.2303i | 0.0995604 | − | 0.126138i | ||||
\(423\) | 145.779 | + | 474.481i | 0.344631 | + | 1.12170i | ||||
\(424\) | −21.2024 | − | 30.1139i | −0.0500057 | − | 0.0710234i | ||||
\(425\) | 336.870 | − | 401.466i | 0.792636 | − | 0.944627i | ||||
\(426\) | −5.25050 | − | 29.0194i | −0.0123251 | − | 0.0681207i | ||||
\(427\) | 135.665 | − | 23.9213i | 0.317716 | − | 0.0560219i | ||||
\(428\) | 41.0421 | − | 356.473i | 0.0958928 | − | 0.832880i | ||||
\(429\) | 302.508 | + | 7.71280i | 0.705148 | + | 0.0179786i | ||||
\(430\) | 472.248 | + | 529.740i | 1.09825 | + | 1.23195i | ||||
\(431\) | − | 360.379i | − | 0.836147i | −0.908413 | − | 0.418074i | \(-0.862705\pi\) | ||
0.908413 | − | 0.418074i | \(-0.137295\pi\) | |||||||
\(432\) | −130.028 | + | 411.967i | −0.300990 | + | 0.953627i | ||||
\(433\) | −401.522 | −0.927302 | −0.463651 | − | 0.886018i | \(-0.653461\pi\) | ||||
−0.463651 | + | 0.886018i | \(0.653461\pi\) | |||||||
\(434\) | −46.0541 | + | 41.0559i | −0.106115 | + | 0.0945989i | ||||
\(435\) | −552.946 | − | 338.321i | −1.27114 | − | 0.777750i | ||||
\(436\) | 691.367 | + | 79.5999i | 1.58570 | + | 0.182569i | ||||
\(437\) | −113.243 | − | 642.234i | −0.259138 | − | 1.46964i | ||||
\(438\) | −96.8995 | − | 114.440i | −0.221232 | − | 0.261278i | ||||
\(439\) | 141.660 | + | 118.867i | 0.322688 | + | 0.270767i | 0.789713 | − | 0.613477i | \(-0.210230\pi\) |
−0.467025 | + | 0.884244i | \(0.654674\pi\) | |||||||
\(440\) | −593.263 | − | 842.616i | −1.34832 | − | 1.91504i | ||||
\(441\) | −149.509 | − | 63.2197i | −0.339023 | − | 0.143355i | ||||
\(442\) | −87.2986 | − | 68.9044i | −0.197508 | − | 0.155892i | ||||
\(443\) | −123.839 | + | 702.323i | −0.279545 | + | 1.58538i | 0.444598 | + | 0.895730i | \(0.353346\pi\) |
−0.724143 | + | 0.689649i | \(0.757765\pi\) | |||||||
\(444\) | −418.578 | − | 327.362i | −0.942743 | − | 0.737301i | ||||
\(445\) | −263.568 | + | 724.146i | −0.592287 | + | 1.62730i | ||||
\(446\) | 481.443 | − | 14.4244i | 1.07947 | − | 0.0323417i | ||||
\(447\) | 81.3724 | − | 12.2185i | 0.182041 | − | 0.0273345i | ||||
\(448\) | −307.490 | + | 179.659i | −0.686363 | + | 0.401025i | ||||
\(449\) | 533.589 | − | 308.068i | 1.18839 | − | 0.686120i | 0.230453 | − | 0.973083i | \(-0.425979\pi\) |
0.957941 | + | 0.286964i | \(0.0926459\pi\) | |||||||
\(450\) | 633.724 | + | 1152.97i | 1.40828 | + | 2.56216i | ||||
\(451\) | 334.440 | + | 193.089i | 0.741552 | + | 0.428135i | ||||
\(452\) | 31.8218 | + | 530.580i | 0.0704021 | + | 1.17385i | ||||
\(453\) | −134.759 | − | 401.832i | −0.297481 | − | 0.887045i | ||||
\(454\) | 125.645 | + | 203.308i | 0.276751 | + | 0.447816i | ||||
\(455\) | −274.739 | − | 327.422i | −0.603823 | − | 0.719608i | ||||
\(456\) | −194.140 | − | 291.235i | −0.425746 | − | 0.638673i | ||||
\(457\) | 38.4812 | − | 14.0060i | 0.0842040 | − | 0.0306478i | −0.299575 | − | 0.954073i | \(-0.596845\pi\) |
0.383779 | + | 0.923425i | \(0.374623\pi\) | |||||||
\(458\) | 128.230 | + | 321.964i | 0.279978 | + | 0.702979i | ||||
\(459\) | 83.7050 | + | 174.561i | 0.182364 | + | 0.380308i | ||||
\(460\) | −1217.92 | − | 1286.46i | −2.64764 | − | 2.79665i | ||||
\(461\) | −575.289 | + | 209.388i | −1.24791 | + | 0.454204i | −0.879697 | − | 0.475536i | \(-0.842254\pi\) |
−0.368218 | + | 0.929739i | \(0.620032\pi\) | |||||||
\(462\) | −150.336 | − | 407.382i | −0.325404 | − | 0.881779i | ||||
\(463\) | −349.390 | + | 293.173i | −0.754621 | + | 0.633202i | −0.936721 | − | 0.350078i | \(-0.886155\pi\) |
0.182100 | + | 0.983280i | \(0.441711\pi\) | |||||||
\(464\) | 346.570 | − | 41.7214i | 0.746918 | − | 0.0899168i | ||||
\(465\) | −161.436 | − | 32.7287i | −0.347175 | − | 0.0703844i | ||||
\(466\) | −122.857 | + | 371.837i | −0.263642 | + | 0.797932i | ||||
\(467\) | −216.919 | + | 375.716i | −0.464496 | + | 0.804530i | −0.999179 | − | 0.0405227i | \(-0.987098\pi\) |
0.534683 | + | 0.845053i | \(0.320431\pi\) | |||||||
\(468\) | 240.537 | − | 141.751i | 0.513968 | − | 0.302886i | ||||
\(469\) | −249.230 | + | 143.893i | −0.531408 | + | 0.306808i | ||||
\(470\) | −1069.71 | + | 221.840i | −2.27598 | + | 0.472000i | ||||
\(471\) | 73.6190 | − | 58.6421i | 0.156304 | − | 0.124505i | ||||
\(472\) | 33.4823 | − | 33.6561i | 0.0709371 | − | 0.0713053i | ||||
\(473\) | 159.373 | − | 437.873i | 0.336940 | − | 0.925735i | ||||
\(474\) | 0.674988 | + | 151.301i | 0.00142403 | + | 0.319201i | ||||
\(475\) | −1049.77 | − | 185.102i | −2.21004 | − | 0.389689i | ||||
\(476\) | −45.5077 | + | 152.967i | −0.0956044 | + | 0.321359i | ||||
\(477\) | 22.5180 | − | 34.7796i | 0.0472076 | − | 0.0729132i | ||||
\(478\) | −652.349 | − | 94.9801i | −1.36475 | − | 0.198703i | ||||
\(479\) | −505.350 | + | 602.253i | −1.05501 | + | 1.25731i | −0.0897674 | + | 0.995963i | \(0.528612\pi\) |
−0.965244 | + | 0.261351i | \(0.915832\pi\) | |||||||
\(480\) | −875.990 | − | 369.671i | −1.82498 | − | 0.770149i | ||||
\(481\) | 59.6362 | + | 338.214i | 0.123984 | + | 0.703147i | ||||
\(482\) | 59.5276 | − | 110.629i | 0.123501 | − | 0.229521i | ||||
\(483\) | −356.642 | − | 655.774i | −0.738389 | − | 1.35771i | ||||
\(484\) | −86.1578 | + | 172.295i | −0.178012 | + | 0.355982i | ||||
\(485\) | 913.537 | 1.88358 | ||||||||
\(486\) | −484.559 | + | 37.4003i | −0.997035 | + | 0.0769554i | ||||
\(487\) | 252.764 | 0.519023 | 0.259511 | − | 0.965740i | \(-0.416439\pi\) | ||||
0.259511 | + | 0.965740i | \(0.416439\pi\) | |||||||
\(488\) | −197.342 | − | 16.7505i | −0.404389 | − | 0.0343247i | ||||
\(489\) | −66.0438 | − | 121.438i | −0.135059 | − | 0.248339i | ||||
\(490\) | 169.287 | − | 314.612i | 0.345484 | − | 0.642066i | ||||
\(491\) | −87.7693 | − | 497.765i | −0.178756 | − | 1.01378i | −0.933718 | − | 0.358009i | \(-0.883456\pi\) |
0.754962 | − | 0.655769i | \(-0.227655\pi\) | |||||||
\(492\) | 356.094 | − | 12.2591i | 0.723767 | − | 0.0249169i | ||||
\(493\) | 100.551 | − | 119.832i | 0.203958 | − | 0.243068i | ||||
\(494\) | −32.5918 | + | 223.849i | −0.0659753 | + | 0.453136i | ||||
\(495\) | 630.075 | − | 973.165i | 1.27288 | − | 1.96599i | ||||
\(496\) | 79.1284 | − | 40.0824i | 0.159533 | − | 0.0808114i | ||||
\(497\) | 26.9346 | + | 4.74930i | 0.0541944 | + | 0.00955593i | ||||
\(498\) | −1.38892 | − | 311.331i | −0.00278899 | − | 0.625164i | ||||
\(499\) | 57.9629 | − | 159.252i | 0.116158 | − | 0.319142i | −0.867966 | − | 0.496624i | \(-0.834573\pi\) |
0.984124 | + | 0.177482i | \(0.0567952\pi\) | |||||||
\(500\) | −1748.12 | + | 757.646i | −3.49624 | + | 1.51529i | ||||
\(501\) | 349.416 | − | 278.331i | 0.697437 | − | 0.555551i | ||||
\(502\) | −90.9124 | − | 438.379i | −0.181100 | − | 0.873264i | ||||
\(503\) | 620.920 | − | 358.489i | 1.23443 | − | 0.712701i | 0.266483 | − | 0.963840i | \(-0.414138\pi\) |
0.967951 | + | 0.251139i | \(0.0808050\pi\) | |||||||
\(504\) | −316.689 | − | 245.407i | −0.628351 | − | 0.486919i | ||||
\(505\) | 450.720 | − | 780.670i | 0.892515 | − | 1.54588i | ||||
\(506\) | −364.920 | + | 1104.46i | −0.721185 | + | 2.18272i | ||||
\(507\) | 320.046 | + | 64.8844i | 0.631254 | + | 0.127977i | ||||
\(508\) | −336.402 | − | 249.541i | −0.662209 | − | 0.491222i | ||||
\(509\) | −609.224 | + | 511.200i | −1.19690 | + | 1.00432i | −0.197190 | + | 0.980365i | \(0.563182\pi\) |
−0.999713 | + | 0.0239561i | \(0.992374\pi\) | |||||||
\(510\) | −399.732 | + | 147.513i | −0.783789 | + | 0.289242i | ||||
\(511\) | 130.682 | − | 47.5645i | 0.255739 | − | 0.0930812i | ||||
\(512\) | 493.510 | − | 136.353i | 0.963886 | − | 0.266314i | ||||
\(513\) | 222.358 | − | 324.971i | 0.433447 | − | 0.633472i | ||||
\(514\) | 15.0890 | + | 37.8860i | 0.0293561 | + | 0.0737082i | ||||
\(515\) | −1022.44 | + | 372.137i | −1.98532 | + | 0.722596i | ||||
\(516\) | −89.1795 | − | 420.577i | −0.172828 | − | 0.815072i | ||||
\(517\) | 461.082 | + | 549.496i | 0.891842 | + | 1.06286i | ||||
\(518\) | 419.223 | − | 259.080i | 0.809311 | − | 0.500155i | ||||
\(519\) | 240.473 | + | 717.054i | 0.463338 | + | 1.38161i | ||||
\(520\) | 261.137 | + | 556.245i | 0.502186 | + | 1.06970i | ||||
\(521\) | −639.861 | − | 369.424i | −1.22814 | − | 0.709067i | −0.261499 | − | 0.965204i | \(-0.584217\pi\) |
−0.966640 | + | 0.256137i | \(0.917550\pi\) | |||||||
\(522\) | 189.158 | + | 344.147i | 0.362372 | + | 0.659286i | ||||
\(523\) | −460.550 | + | 265.899i | −0.880593 | + | 0.508411i | −0.870854 | − | 0.491542i | \(-0.836433\pi\) |
−0.00973906 | + | 0.999953i | \(0.503100\pi\) | |||||||
\(524\) | 319.077 | + | 483.314i | 0.608926 | + | 0.922355i | ||||
\(525\) | −1206.64 | + | 181.184i | −2.29836 | + | 0.345112i | ||||
\(526\) | −11.3097 | − | 377.483i | −0.0215013 | − | 0.717648i | ||||
\(527\) | 13.5952 | − | 37.3526i | 0.0257974 | − | 0.0708778i | ||||
\(528\) | 58.7940 | + | 621.519i | 0.111352 | + | 1.17712i | ||||
\(529\) | −255.365 | + | 1448.25i | −0.482731 | + | 2.73770i | ||||
\(530\) | 71.5800 | + | 56.4978i | 0.135057 | + | 0.106600i | ||||
\(531\) | 49.1915 | + | 20.8006i | 0.0926393 | + | 0.0391724i | ||||
\(532\) | 315.728 | − | 75.4047i | 0.593474 | − | 0.141738i | ||||
\(533\) | −176.402 | − | 148.019i | −0.330961 | − | 0.277709i | ||||
\(534\) | 356.284 | − | 301.676i | 0.667198 | − | 0.564937i | ||||
\(535\) | 154.281 | + | 874.972i | 0.288376 | + | 1.63546i | ||||
\(536\) | 399.368 | − | 108.119i | 0.745090 | − | 0.201715i | ||||
\(537\) | 59.0376 | + | 36.1223i | 0.109940 | + | 0.0672669i | ||||
\(538\) | −153.747 | + | 137.061i | −0.285775 | + | 0.254760i | ||||
\(539\) | −234.581 | −0.435215 | ||||||||
\(540\) | 17.7214 | − | 1069.50i | 0.0328174 | − | 1.98056i | ||||
\(541\) | − | 362.334i | − | 0.669749i | −0.942263 | − | 0.334875i | \(-0.891306\pi\) | ||
0.942263 | − | 0.334875i | \(-0.108694\pi\) | |||||||
\(542\) | −42.4167 | + | 37.8133i | −0.0782597 | + | 0.0697663i | ||||
\(543\) | 698.393 | + | 17.8063i | 1.28618 | + | 0.0327925i | ||||
\(544\) | 119.609 | − | 195.801i | 0.219869 | − | 0.359928i | ||||
\(545\) | −1696.98 | + | 299.223i | −3.11372 | + | 0.549034i | ||||
\(546\) | 46.1004 | + | 254.796i | 0.0844331 | + | 0.466660i | ||||
\(547\) | −107.172 | + | 127.722i | −0.195926 | + | 0.233496i | −0.855059 | − | 0.518531i | \(-0.826479\pi\) |
0.659133 | + | 0.752027i | \(0.270924\pi\) | |||||||
\(548\) | −766.881 | + | 183.153i | −1.39942 | + | 0.334220i | ||||
\(549\) | −65.4364 | − | 212.982i | −0.119192 | − | 0.387946i | ||||
\(550\) | 1492.42 | + | 1177.96i | 2.71349 | + | 2.14174i | ||||
\(551\) | −313.342 | − | 55.2506i | −0.568678 | − | 0.100273i | ||||
\(552\) | 253.954 | + | 1042.72i | 0.460061 | + | 1.88899i | ||||
\(553\) | −131.859 | − | 47.9926i | −0.238442 | − | 0.0867860i | ||||
\(554\) | 3.05286 | + | 101.895i | 0.00551058 | + | 0.183926i | ||||
\(555\) | 1224.52 | + | 481.375i | 2.20633 | + | 0.867342i | ||||
\(556\) | −31.1587 | + | 20.5706i | −0.0560409 | + | 0.0369974i | ||||
\(557\) | 455.686 | + | 789.272i | 0.818108 | + | 1.41700i | 0.907075 | + | 0.420970i | \(0.138310\pi\) |
−0.0889664 | + | 0.996035i | \(0.528356\pi\) | |||||||
\(558\) | 75.0770 | + | 65.7363i | 0.134547 | + | 0.117807i | ||||
\(559\) | −138.929 | + | 240.633i | −0.248532 | + | 0.430470i | ||||
\(560\) | 602.902 | − | 643.474i | 1.07661 | − | 1.14906i | ||||
\(561\) | 209.660 | + | 185.234i | 0.373725 | + | 0.330185i | ||||
\(562\) | 790.907 | − | 488.781i | 1.40731 | − | 0.869718i | ||||
\(563\) | 367.872 | − | 308.681i | 0.653414 | − | 0.548280i | −0.254691 | − | 0.967023i | \(-0.581974\pi\) |
0.908105 | + | 0.418743i | \(0.137529\pi\) | |||||||
\(564\) | 629.334 | + | 204.826i | 1.11584 | + | 0.363167i | ||||
\(565\) | −450.131 | − | 1236.73i | −0.796693 | − | 2.18889i | ||||
\(566\) | −12.6237 | − | 31.6961i | −0.0223034 | − | 0.0560002i | ||||
\(567\) | 123.042 | − | 433.606i | 0.217005 | − | 0.764737i | ||||
\(568\) | −35.6796 | − | 16.5254i | −0.0628163 | − | 0.0290939i | ||||
\(569\) | −178.169 | − | 489.516i | −0.313127 | − | 0.860309i | −0.992021 | − | 0.126073i | \(-0.959763\pi\) |
0.678894 | − | 0.734236i | \(-0.262460\pi\) | |||||||
\(570\) | 666.365 | + | 554.099i | 1.16906 | + | 0.972104i | ||||
\(571\) | −659.676 | − | 786.171i | −1.15530 | − | 1.37683i | −0.913666 | − | 0.406465i | \(-0.866761\pi\) |
−0.241633 | − | 0.970368i | \(-0.577683\pi\) | |||||||
\(572\) | 240.380 | − | 324.052i | 0.420245 | − | 0.566525i | ||||
\(573\) | −199.870 | − | 176.585i | −0.348813 | − | 0.308176i | ||||
\(574\) | −103.669 | + | 313.761i | −0.180607 | + | 0.546621i | ||||
\(575\) | 2830.55 | + | 1634.22i | 4.92270 | + | 2.84212i | ||||
\(576\) | 349.654 | + | 457.731i | 0.607038 | + | 0.794672i | ||||
\(577\) | −216.817 | − | 375.539i | −0.375767 | − | 0.650847i | 0.614675 | − | 0.788781i | \(-0.289287\pi\) |
−0.990441 | + | 0.137934i | \(0.955954\pi\) | |||||||
\(578\) | 96.4912 | + | 465.279i | 0.166940 | + | 0.804982i | ||||
\(579\) | 243.821 | − | 620.228i | 0.421106 | − | 1.07121i | ||||
\(580\) | −793.036 | + | 343.707i | −1.36730 | + | 0.592598i | ||||
\(581\) | 271.325 | + | 98.7541i | 0.466996 | + | 0.169973i | ||||
\(582\) | −480.512 | − | 274.573i | −0.825621 | − | 0.471774i | ||||
\(583\) | 10.3973 | − | 58.9660i | 0.0178341 | − | 0.101142i | ||||
\(584\) | −199.131 | + | 17.9413i | −0.340978 | + | 0.0307214i | ||||
\(585\) | −470.771 | + | 506.237i | −0.804736 | + | 0.865363i | ||||
\(586\) | −89.3022 | + | 613.352i | −0.152393 | + | 1.04668i | ||||
\(587\) | −523.910 | − | 439.613i | −0.892522 | − | 0.748915i | 0.0761925 | − | 0.997093i | \(-0.475724\pi\) |
−0.968714 | + | 0.248178i | \(0.920168\pi\) | |||||||
\(588\) | −183.603 | + | 114.602i | −0.312251 | + | 0.194902i | ||||
\(589\) | −79.6219 | + | 14.0395i | −0.135181 | + | 0.0238361i | ||||
\(590\) | −55.6989 | + | 103.514i | −0.0944049 | + | 0.175447i | ||||
\(591\) | 19.3174 | − | 757.658i | 0.0326859 | − | 1.28199i | ||||
\(592\) | −678.047 | + | 205.547i | −1.14535 | + | 0.347208i | ||||
\(593\) | − | 793.206i | − | 1.33762i | −0.743435 | − | 0.668808i | \(-0.766805\pi\) | ||
0.743435 | − | 0.668808i | \(-0.233195\pi\) | |||||||
\(594\) | −623.908 | + | 322.500i | −1.05035 | + | 0.542930i | ||||
\(595\) | − | 395.157i | − | 0.664129i | ||||||
\(596\) | 49.0697 | − | 98.1278i | 0.0823317 | − | 0.164644i | ||||
\(597\) | −57.1597 | − | 34.9733i | −0.0957449 | − | 0.0585818i | ||||
\(598\) | 328.656 | − | 610.792i | 0.549592 | − | 1.02139i | ||||
\(599\) | 324.881 | − | 57.2853i | 0.542372 | − | 0.0956349i | 0.104252 | − | 0.994551i | \(-0.466755\pi\) |
0.438121 | + | 0.898916i | \(0.355644\pi\) | |||||||
\(600\) | 1743.57 | + | 192.867i | 2.90596 | + | 0.321445i | ||||
\(601\) | −317.069 | − | 266.053i | −0.527570 | − | 0.442684i | 0.339692 | − | 0.940537i | \(-0.389677\pi\) |
−0.867261 | + | 0.497853i | \(0.834122\pi\) | |||||||
\(602\) | 394.563 | + | 57.4472i | 0.655420 | + | 0.0954273i | ||||
\(603\) | 280.635 | + | 371.349i | 0.465398 | + | 0.615836i | ||||
\(604\) | −541.640 | − | 161.138i | −0.896755 | − | 0.266785i | ||||
\(605\) | 82.8258 | − | 469.728i | 0.136902 | − | 0.776410i | ||||
\(606\) | −471.712 | + | 275.156i | −0.778403 | + | 0.454053i | ||||
\(607\) | −923.754 | − | 336.219i | −1.52184 | − | 0.553903i | −0.560229 | − | 0.828338i | \(-0.689287\pi\) |
−0.961606 | + | 0.274435i | \(0.911509\pi\) | |||||||
\(608\) | −466.539 | − | 11.5603i | −0.767334 | − | 0.0190137i | ||||
\(609\) | −360.165 | + | 54.0809i | −0.591404 | + | 0.0888028i | ||||
\(610\) | 480.166 | − | 99.5784i | 0.787157 | − | 0.163243i | ||||
\(611\) | −213.867 | − | 370.428i | −0.350027 | − | 0.606265i | ||||
\(612\) | 254.592 | + | 42.5528i | 0.416000 | + | 0.0695308i | ||||
\(613\) | −546.407 | − | 315.468i | −0.891366 | − | 0.514630i | −0.0169769 | − | 0.999856i | \(-0.505404\pi\) |
−0.874389 | + | 0.485226i | \(0.838738\pi\) | |||||||
\(614\) | 239.232 | − | 724.054i | 0.389629 | − | 1.17924i | ||||
\(615\) | −836.439 | + | 280.510i | −1.36006 | + | 0.456114i | ||||
\(616\) | −559.639 | − | 148.403i | −0.908506 | − | 0.240914i | ||||
\(617\) | 387.071 | + | 461.293i | 0.627343 | + | 0.747638i | 0.982314 | − | 0.187239i | \(-0.0599539\pi\) |
−0.354972 | + | 0.934877i | \(0.615509\pi\) | |||||||
\(618\) | 649.642 | + | 111.563i | 1.05120 | + | 0.180523i | ||||
\(619\) | −11.1565 | − | 30.6522i | −0.0180234 | − | 0.0495189i | 0.930355 | − | 0.366661i | \(-0.119499\pi\) |
−0.948378 | + | 0.317142i | \(0.897277\pi\) | |||||||
\(620\) | −159.491 | + | 150.993i | −0.257243 | + | 0.243537i | ||||
\(621\) | −981.472 | + | 703.144i | −1.58047 | + | 1.13228i | ||||
\(622\) | 182.011 | + | 456.999i | 0.292622 | + | 0.734724i | ||||
\(623\) | 148.082 | + | 406.852i | 0.237692 | + | 0.653053i | ||||
\(624\) | 29.8296 | − | 371.067i | 0.0478038 | − | 0.594658i | ||||
\(625\) | 2213.98 | − | 1857.75i | 3.54237 | − | 2.97240i | ||||
\(626\) | 162.189 | + | 262.441i | 0.259088 | + | 0.419235i | ||||
\(627\) | 113.063 | − | 557.691i | 0.180324 | − | 0.889460i | ||||
\(628\) | −7.51304 | − | 125.269i | −0.0119634 | − | 0.199472i | ||||
\(629\) | −158.754 | + | 274.971i | −0.252392 | + | 0.437155i | ||||
\(630\) | 924.845 | + | 358.815i | 1.46801 | + | 0.569547i | ||||
\(631\) | 109.440 | + | 189.556i | 0.173440 | + | 0.300406i | 0.939620 | − | 0.342219i | \(-0.111179\pi\) |
−0.766181 | + | 0.642625i | \(0.777845\pi\) | |||||||
\(632\) | 165.552 | + | 115.283i | 0.261950 | + | 0.182410i | ||||
\(633\) | 79.5636 | − | 63.3773i | 0.125693 | − | 0.100122i | ||||
\(634\) | −237.821 | + | 7.12530i | −0.375112 | + | 0.0112386i | ||||
\(635\) | 974.548 | + | 354.706i | 1.53472 | + | 0.558593i | ||||
\(636\) | −20.6694 | − | 51.2314i | −0.0324991 | − | 0.0805525i | ||||
\(637\) | 137.755 | + | 24.2898i | 0.216255 | + | 0.0381316i | ||||
\(638\) | 445.467 | + | 351.605i | 0.698223 | + | 0.551105i | ||||
\(639\) | 2.25422 | − | 44.1784i | 0.00352774 | − | 0.0691368i | ||||
\(640\) | −1074.95 | + | 672.035i | −1.67960 | + | 1.05005i | ||||
\(641\) | −366.197 | + | 436.416i | −0.571290 | + | 0.680837i | −0.971895 | − | 0.235414i | \(-0.924355\pi\) |
0.400605 | + | 0.916251i | \(0.368800\pi\) | |||||||
\(642\) | 181.831 | − | 506.598i | 0.283226 | − | 0.789093i | ||||
\(643\) | −1.25541 | + | 0.221362i | −0.00195242 | + | 0.000344264i | −0.174624 | − | 0.984635i | \(-0.555871\pi\) |
0.172672 | + | 0.984979i | \(0.444760\pi\) | |||||||
\(644\) | −988.775 | − | 113.842i | −1.53537 | − | 0.176773i | ||||
\(645\) | 508.588 | + | 935.165i | 0.788509 | + | 1.44987i | ||||
\(646\) | −156.109 | + | 139.167i | −0.241655 | + | 0.215429i | ||||
\(647\) | − | 64.0740i | − | 0.0990325i | −0.998773 | − | 0.0495162i | \(-0.984232\pi\) | ||
0.998773 | − | 0.0495162i | \(-0.0157680\pi\) | |||||||
\(648\) | −330.770 | + | 557.221i | −0.510448 | + | 0.859909i | ||||
\(649\) | 77.1819 | 0.118924 | ||||||||
\(650\) | −754.430 | − | 846.274i | −1.16066 | − | 1.30196i | ||||
\(651\) | −81.3006 | + | 44.2152i | −0.124886 | + | 0.0679189i | ||||
\(652\) | −183.104 | − | 21.0815i | −0.280834 | − | 0.0323335i | ||||
\(653\) | 70.5039 | + | 399.847i | 0.107969 | + | 0.612324i | 0.989993 | + | 0.141118i | \(0.0450698\pi\) |
−0.882024 | + | 0.471205i | \(0.843819\pi\) | |||||||
\(654\) | 982.530 | + | 352.656i | 1.50234 | + | 0.539229i | ||||
\(655\) | −1098.48 | − | 921.738i | −1.67708 | − | 1.40723i | ||||
\(656\) | 259.685 | − | 397.816i | 0.395861 | − | 0.606427i | ||||
\(657\) | −102.392 | − | 200.273i | −0.155848 | − | 0.304829i | ||||
\(658\) | −380.279 | + | 481.796i | −0.577932 | + | 0.732212i | ||||
\(659\) | 67.6756 | − | 383.807i | 0.102694 | − | 0.582409i | −0.889422 | − | 0.457087i | \(-0.848893\pi\) |
0.992116 | − | 0.125321i | \(-0.0399962\pi\) | |||||||
\(660\) | −578.349 | − | 1433.50i | −0.876287 | − | 2.17197i | ||||
\(661\) | −102.783 | + | 282.394i | −0.155496 | + | 0.427223i | −0.992840 | − | 0.119455i | \(-0.961885\pi\) |
0.837343 | + | 0.546677i | \(0.184108\pi\) | |||||||
\(662\) | −16.2009 | − | 540.736i | −0.0244726 | − | 0.816821i | ||||
\(663\) | −103.940 | − | 130.485i | −0.156772 | − | 0.196811i | ||||
\(664\) | −340.656 | − | 237.218i | −0.513036 | − | 0.357256i | ||||
\(665\) | −696.059 | + | 401.870i | −1.04671 | + | 0.604316i | ||||
\(666\) | −499.401 | − | 621.239i | −0.749852 | − | 0.932791i | ||||
\(667\) | 844.882 | + | 487.793i | 1.26669 | + | 0.731323i | ||||
\(668\) | −35.6590 | − | 594.560i | −0.0533817 | − | 0.890059i | ||||
\(669\) | 708.083 | + | 143.553i | 1.05842 | + | 0.214578i | ||||
\(670\) | −871.460 | + | 538.563i | −1.30069 | + | 0.803826i | ||||
\(671\) | −206.968 | − | 246.655i | −0.308447 | − | 0.367593i | ||||
\(672\) | −510.523 | + | 157.253i | −0.759707 | + | 0.234008i | ||||
\(673\) | 375.747 | − | 136.761i | 0.558317 | − | 0.203211i | −0.0474212 | − | 0.998875i | \(-0.515100\pi\) |
0.605738 | + | 0.795664i | \(0.292878\pi\) | |||||||
\(674\) | −555.508 | + | 221.245i | −0.824196 | + | 0.328256i | ||||
\(675\) | 531.322 | + | 1900.62i | 0.787144 | + | 2.81573i | ||||
\(676\) | 316.189 | − | 299.342i | 0.467735 | − | 0.442814i | ||||
\(677\) | 394.220 | − | 143.484i | 0.582304 | − | 0.211941i | −0.0340374 | − | 0.999421i | \(-0.510837\pi\) |
0.616341 | + | 0.787479i | \(0.288614\pi\) | |||||||
\(678\) | −134.945 | + | 785.797i | −0.199035 | + | 1.15899i | ||||
\(679\) | 393.179 | − | 329.916i | 0.579056 | − | 0.485886i | ||||
\(680\) | −145.616 | + | 549.131i | −0.214142 | + | 0.807545i | ||||
\(681\) | 113.988 | + | 339.895i | 0.167383 | + | 0.499112i | ||||
\(682\) | 136.927 | + | 45.2415i | 0.200772 | + | 0.0663365i | ||||
\(683\) | −449.559 | + | 778.660i | −0.658213 | + | 1.14006i | 0.322865 | + | 0.946445i | \(0.395354\pi\) |
−0.981078 | + | 0.193613i | \(0.937979\pi\) | |||||||
\(684\) | −183.961 | − | 491.733i | −0.268949 | − | 0.718909i | ||||
\(685\) | 1690.68 | − | 976.113i | 2.46814 | − | 1.42498i | ||||
\(686\) | −151.494 | − | 730.504i | −0.220837 | − | 1.06487i | ||||
\(687\) | 77.1916 | + | 514.077i | 0.112360 | + | 0.748293i | ||||
\(688\) | −527.136 | − | 225.229i | −0.766187 | − | 0.327368i | ||||
\(689\) | −12.2114 | + | 33.5504i | −0.0177233 | + | 0.0486944i | ||||
\(690\) | −1338.90 | − | 2295.33i | −1.94043 | − | 3.32656i | ||||
\(691\) | 607.275 | + | 107.079i | 0.878835 | + | 0.154962i | 0.594821 | − | 0.803858i | \(-0.297223\pi\) |
0.284013 | + | 0.958820i | \(0.408334\pi\) | |||||||
\(692\) | 966.537 | + | 287.545i | 1.39673 | + | 0.415528i | ||||
\(693\) | −80.2713 | − | 646.389i | −0.115832 | − | 0.932741i | ||||
\(694\) | 187.449 | − | 1287.45i | 0.270099 | − | 1.85511i | ||||
\(695\) | 59.4235 | − | 70.8182i | 0.0855014 | − | 0.101897i | ||||
\(696\) | 520.434 | + | 57.5683i | 0.747750 | + | 0.0827131i | ||||
\(697\) | −36.9688 | − | 209.661i | −0.0530399 | − | 0.300804i | ||||
\(698\) | 241.778 | + | 130.096i | 0.346387 | + | 0.186384i | ||||
\(699\) | −306.576 | + | 501.062i | −0.438592 | + | 0.716826i | ||||
\(700\) | −727.635 | + | 1455.10i | −1.03948 | + | 2.07871i | ||||
\(701\) | 885.429 | 1.26309 | 0.631547 | − | 0.775338i | \(-0.282420\pi\) | ||||
0.631547 | + | 0.775338i | \(0.282420\pi\) | |||||||
\(702\) | 399.775 | − | 124.781i | 0.569481 | − | 0.177751i | ||||
\(703\) | 645.806 | 0.918642 | ||||||||
\(704\) | 723.018 | + | 412.457i | 1.02701 | + | 0.585877i | ||||
\(705\) | −1638.18 | − | 41.7672i | −2.32365 | − | 0.0592442i | ||||
\(706\) | 707.572 | + | 380.732i | 1.00223 | + | 0.539280i | ||||
\(707\) | −87.9462 | − | 498.768i | −0.124394 | − | 0.705471i | ||||
\(708\) | 60.4092 | − | 37.7064i | 0.0853238 | − | 0.0532577i | ||||
\(709\) | −370.000 | + | 440.949i | −0.521861 | + | 0.621930i | −0.961020 | − | 0.276479i | \(-0.910832\pi\) |
0.439158 | + | 0.898410i | \(0.355277\pi\) | |||||||
\(710\) | 96.3438 | + | 14.0274i | 0.135696 | + | 0.0197569i | ||||
\(711\) | −50.7487 | + | 221.208i | −0.0713765 | + | 0.311122i | ||||
\(712\) | −55.8565 | − | 619.952i | −0.0784501 | − | 0.870719i | ||||
\(713\) | 244.136 | + | 43.0477i | 0.342406 | + | 0.0603755i | ||||
\(714\) | −118.768 | + | 207.849i | −0.166342 | + | 0.291104i | ||||
\(715\) | −341.685 | + | 938.772i | −0.477881 | + | 1.31297i | ||||
\(716\) | 84.6718 | − | 36.6973i | 0.118257 | − | 0.0512533i | ||||
\(717\) | −920.285 | − | 361.777i | −1.28352 | − | 0.504571i | ||||
\(718\) | −503.360 | + | 104.388i | −0.701058 | + | 0.145388i | ||||
\(719\) | −939.236 | + | 542.268i | −1.30631 | + | 0.754197i | −0.981478 | − | 0.191575i | \(-0.938640\pi\) |
−0.324830 | + | 0.945772i | \(0.605307\pi\) | |||||||
\(720\) | −1152.99 | − | 839.436i | −1.60137 | − | 1.16588i | ||||
\(721\) | −305.655 | + | 529.410i | −0.423932 | + | 0.734272i | ||||
\(722\) | −281.649 | − | 93.0585i | −0.390095 | − | 0.128890i | ||||
\(723\) | 124.768 | − | 141.221i | 0.172570 | − | 0.195326i | ||||
\(724\) | 554.959 | − | 748.132i | 0.766518 | − | 1.03333i | ||||
\(725\) | 1221.57 | − | 1025.02i | 1.68493 | − | 1.41382i | ||||
\(726\) | −184.747 | + | 222.178i | −0.254473 | + | 0.306031i | ||||
\(727\) | −351.583 | + | 127.966i | −0.483608 | + | 0.176019i | −0.572307 | − | 0.820040i | \(-0.693951\pi\) |
0.0886988 | + | 0.996058i | \(0.471729\pi\) | |||||||
\(728\) | 313.274 | + | 145.096i | 0.430322 | + | 0.199308i | ||||
\(729\) | −720.490 | − | 111.062i | −0.988327 | − | 0.152348i | ||||
\(730\) | 459.918 | − | 183.173i | 0.630024 | − | 0.250922i | ||||
\(731\) | −241.393 | + | 87.8600i | −0.330224 | + | 0.120192i | ||||
\(732\) | −282.492 | − | 91.9414i | −0.385918 | − | 0.125603i | ||||
\(733\) | −286.161 | − | 341.033i | −0.390397 | − | 0.465257i | 0.534670 | − | 0.845061i | \(-0.320436\pi\) |
−0.925067 | + | 0.379804i | \(0.875991\pi\) | |||||||
\(734\) | −279.827 | − | 452.794i | −0.381236 | − | 0.616885i | ||||
\(735\) | 354.821 | − | 401.610i | 0.482749 | − | 0.546408i | ||||
\(736\) | 1332.10 | + | 522.567i | 1.80992 | + | 0.710010i | ||||
\(737\) | 582.534 | + | 336.326i | 0.790412 | + | 0.456345i | ||||
\(738\) | 524.269 | + | 103.855i | 0.710392 | + | 0.140724i | ||||
\(739\) | −913.843 | + | 527.607i | −1.23659 | + | 0.713948i | −0.968396 | − | 0.249416i | \(-0.919761\pi\) |
−0.268197 | + | 0.963364i | \(0.586428\pi\) | |||||||
\(740\) | 1464.04 | − | 966.540i | 1.97843 | − | 1.30613i | ||||
\(741\) | −124.141 | + | 315.790i | −0.167532 | + | 0.426167i | ||||
\(742\) | 51.2112 | − | 1.53433i | 0.0690178 | − | 0.00206783i | ||||
\(743\) | −68.3312 | + | 187.738i | −0.0919666 | + | 0.252676i | −0.977144 | − | 0.212577i | \(-0.931814\pi\) |
0.885178 | + | 0.465253i | \(0.154037\pi\) | |||||||
\(744\) | 129.273 | − | 31.4843i | 0.173754 | − | 0.0423176i | ||||
\(745\) | −47.1720 | + | 267.526i | −0.0633181 | + | 0.359095i | ||||
\(746\) | −80.9010 | + | 102.498i | −0.108446 | + | 0.137396i | ||||
\(747\) | 104.425 | − | 455.177i | 0.139793 | − | 0.609340i | ||||
\(748\) | 362.817 | − | 86.6508i | 0.485049 | − | 0.115843i | ||||
\(749\) | 382.390 | + | 320.864i | 0.510534 | + | 0.428389i | ||||
\(750\) | −2812.20 | + | 508.813i | −3.74960 | + | 0.678418i | ||||
\(751\) | −22.4456 | − | 127.295i | −0.0298876 | − | 0.169501i | 0.966210 | − | 0.257755i | \(-0.0829826\pi\) |
−0.996098 | + | 0.0882533i | \(0.971871\pi\) | |||||||
\(752\) | 705.999 | − | 529.395i | 0.938829 | − | 0.703982i | ||||
\(753\) | 17.1166 | − | 671.341i | 0.0227312 | − | 0.891555i | ||||
\(754\) | −225.187 | − | 252.602i | −0.298657 | − | 0.335015i | ||||
\(755\) | 1399.21 | 1.85326 | ||||||||
\(756\) | −378.614 | − | 466.704i | −0.500812 | − | 0.617334i | ||||
\(757\) | − | 22.0392i | − | 0.0291138i | −0.999894 | − | 0.0145569i | \(-0.995366\pi\) | ||
0.999894 | − | 0.0145569i | \(-0.00463377\pi\) | |||||||
\(758\) | 731.095 | + | 820.099i | 0.964506 | + | 1.08192i | ||||
\(759\) | −910.616 | + | 1488.29i | −1.19976 | + | 1.96086i | ||||
\(760\) | 1115.37 | − | 301.960i | 1.46759 | − | 0.397316i | ||||
\(761\) | −28.7292 | + | 5.06573i | −0.0377519 | + | 0.00665668i | −0.192492 | − | 0.981298i | \(-0.561657\pi\) |
0.154740 | + | 0.987955i | \(0.450546\pi\) | |||||||
\(762\) | −405.992 | − | 479.482i | −0.532798 | − | 0.629242i | ||||
\(763\) | −622.305 | + | 741.634i | −0.815602 | + | 0.971997i | ||||
\(764\) | −345.876 | + | 82.6049i | −0.452717 | + | 0.108122i | ||||
\(765\) | −634.251 | + | 78.7640i | −0.829087 | + | 0.102959i | ||||
\(766\) | 728.442 | − | 922.901i | 0.950969 | − | 1.20483i | ||||
\(767\) | −45.3240 | − | 7.99185i | −0.0590926 | − | 0.0104196i | ||||
\(768\) | 767.398 | − | 30.3980i | 0.999216 | − | 0.0395807i | ||||
\(769\) | −1038.25 | − | 377.892i | −1.35013 | − | 0.491408i | −0.437143 | − | 0.899392i | \(-0.644009\pi\) |
−0.912989 | + | 0.407985i | \(0.866232\pi\) | |||||||
\(770\) | 1432.94 | − | 42.9319i | 1.86096 | − | 0.0557557i | ||||
\(771\) | 9.08326 | + | 60.4922i | 0.0117811 | + | 0.0784594i | ||||
\(772\) | −489.561 | − | 741.550i | −0.634146 | − | 0.960557i | ||||
\(773\) | −529.715 | − | 917.494i | −0.685272 | − | 1.18693i | −0.973351 | − | 0.229319i | \(-0.926350\pi\) |
0.288079 | − | 0.957607i | \(-0.406983\pi\) | |||||||
\(774\) | 13.5607 | − | 644.749i | 0.0175203 | − | 0.833009i | ||||
\(775\) | 202.605 | − | 350.922i | 0.261426 | − | 0.452802i | ||||
\(776\) | −667.957 | + | 313.582i | −0.860770 | + | 0.404100i | ||||
\(777\) | 700.866 | − | 235.044i | 0.902016 | − | 0.302502i | ||||
\(778\) | 58.4754 | + | 94.6203i | 0.0751612 | + | 0.121620i | ||||
\(779\) | −331.715 | + | 278.342i | −0.425822 | + | 0.357307i | ||||
\(780\) | 191.195 | + | 901.691i | 0.245122 | + | 1.15601i | ||||
\(781\) | −21.8641 | − | 60.0711i | −0.0279950 | − | 0.0769156i | ||||
\(782\) | 595.737 | − | 237.267i | 0.761812 | − | 0.303410i | ||||
\(783\) | 158.593 | + | 567.309i | 0.202545 | + | 0.724532i | ||||
\(784\) | −15.7848 | + | 288.147i | −0.0201337 | + | 0.367535i | ||||
\(785\) | 106.275 | + | 291.988i | 0.135382 | + | 0.371959i | ||||
\(786\) | 300.755 | + | 814.986i | 0.382640 | + | 1.03688i | ||||
\(787\) | 515.514 | + | 614.365i | 0.655036 | + | 0.780642i | 0.986664 | − | 0.162768i | \(-0.0520423\pi\) |
−0.331628 | + | 0.943410i | \(0.607598\pi\) | |||||||
\(788\) | −811.617 | − | 602.052i | −1.02997 | − | 0.764025i | ||||
\(789\) | 112.555 | − | 555.183i | 0.142655 | − | 0.703655i | ||||
\(790\) | −474.290 | − | 156.708i | −0.600367 | − | 0.198365i | ||||
\(791\) | −640.366 | − | 369.716i | −0.809565 | − | 0.467403i | ||||
\(792\) | −126.647 | + | 927.837i | −0.159908 | + | 1.17151i | ||||
\(793\) | 95.9992 | + | 166.276i | 0.121058 | + | 0.209679i | ||||
\(794\) | −1066.40 | + | 221.153i | −1.34307 | + | 0.278530i | ||||
\(795\) | 85.2249 | + | 106.991i | 0.107201 | + | 0.134580i | ||||
\(796\) | −81.9786 | + | 35.5301i | −0.102988 | + | 0.0446358i | ||||
\(797\) | −1053.19 | − | 383.328i | −1.32144 | − | 0.480964i | −0.417518 | − | 0.908668i | \(-0.637100\pi\) |
−0.903919 | + | 0.427705i | \(0.859322\pi\) | |||||||
\(798\) | 486.906 | − | 2.17220i | 0.610158 | − | 0.00272205i | ||||
\(799\) | 68.6687 | − | 389.439i | 0.0859433 | − | 0.487409i | ||||
\(800\) | 1547.37 | − | 1753.94i | 1.93421 | − | 2.19243i | ||||
\(801\) | 623.507 | − | 318.776i | 0.778411 | − | 0.397973i | ||||
\(802\) | 434.274 | + | 63.2289i | 0.541488 | + | 0.0788391i | ||||
\(803\) | −249.004 | − | 208.939i | −0.310092 | − | 0.260198i | ||||
\(804\) | 620.250 | − | 21.3531i | 0.771455 | − | 0.0265586i | ||||
\(805\) | 2426.98 | − | 427.941i | 3.01488 | − | 0.531604i | ||||
\(806\) | −75.7239 | − | 40.7457i | −0.0939503 | − | 0.0505529i | ||||
\(807\) | −271.414 | + | 147.608i | −0.336325 | + | 0.182910i | ||||
\(808\) | −61.5827 | + | 725.523i | −0.0762162 | + | 0.897924i | ||||
\(809\) | 267.956i | 0.331218i | 0.986191 | + | 0.165609i | \(0.0529590\pi\) | ||||
−0.986191 | + | 0.165609i | \(0.947041\pi\) | |||||||
\(810\) | 391.577 | − | 1555.95i | 0.483428 | − | 1.92093i | ||||
\(811\) | 104.335i | 0.128650i | 0.997929 | + | 0.0643250i | \(0.0204894\pi\) | ||||
−0.997929 | + | 0.0643250i | \(0.979511\pi\) | |||||||
\(812\) | −217.189 | + | 434.327i | −0.267475 | + | 0.534886i | ||||
\(813\) | −74.8795 | + | 40.7231i | −0.0921027 | + | 0.0500899i | ||||
\(814\) | −1014.36 | − | 545.809i | −1.24614 | − | 0.670526i | ||||
\(815\) | 449.433 | − | 79.2472i | 0.551452 | − | 0.0972358i | ||||
\(816\) | 241.639 | − | 245.071i | 0.296127 | − | 0.300332i | ||||
\(817\) | 400.258 | + | 335.856i | 0.489912 | + | 0.411085i | ||||
\(818\) | −171.665 | + | 1179.05i | −0.209860 | + | 1.44138i | ||||
\(819\) | −19.7925 | + | 387.895i | −0.0241667 | + | 0.473621i | ||||
\(820\) | −335.420 | + | 1127.46i | −0.409049 | + | 1.37495i | ||||
\(821\) | −171.329 | + | 971.657i | −0.208684 | + | 1.18350i | 0.682853 | + | 0.730556i | \(0.260739\pi\) |
−0.891537 | + | 0.452948i | \(0.850372\pi\) | |||||||
\(822\) | −1182.66 | + | 5.27611i | −1.43876 | + | 0.00641862i | ||||
\(823\) | −903.195 | − | 328.736i | −1.09744 | − | 0.399436i | −0.271070 | − | 0.962560i | \(-0.587377\pi\) |
−0.826373 | + | 0.563123i | \(0.809600\pi\) | |||||||
\(824\) | 619.843 | − | 623.061i | 0.752237 | − | 0.756142i | ||||
\(825\) | 1776.91 | + | 2230.72i | 2.15383 | + | 2.70390i | ||||
\(826\) | 13.4108 | + | 64.6667i | 0.0162358 | + | 0.0782890i | ||||
\(827\) | −776.004 | − | 1344.08i | −0.938336 | − | 1.62525i | −0.768574 | − | 0.639761i | \(-0.779033\pi\) |
−0.169763 | − | 0.985485i | \(-0.554300\pi\) | |||||||
\(828\) | 14.3631 | + | 1609.74i | 0.0173467 | + | 1.94413i | ||||
\(829\) | 4.07999 | + | 2.35558i | 0.00492158 | + | 0.00284147i | 0.502459 | − | 0.864601i | \(-0.332429\pi\) |
−0.497537 | + | 0.867443i | \(0.665762\pi\) | |||||||
\(830\) | 975.943 | + | 322.458i | 1.17583 | + | 0.388503i | ||||
\(831\) | −30.3824 | + | 149.863i | −0.0365612 | + | 0.180340i | ||||
\(832\) | −381.874 | − | 317.076i | −0.458984 | − | 0.381101i | ||||
\(833\) | 83.1262 | + | 99.0659i | 0.0997913 | + | 0.118927i | ||||
\(834\) | −52.5413 | + | 19.3894i | −0.0629992 | + | 0.0232486i | ||||
\(835\) | 504.410 | + | 1385.86i | 0.604084 | + | 1.65971i | ||||
\(836\) | −521.614 | − | 550.970i | −0.623940 | − | 0.659055i | ||||
\(837\) | 87.1734 | + | 121.680i | 0.104150 | + | 0.145376i | ||||
\(838\) | 1121.44 | − | 446.639i | 1.33823 | − | 0.532982i | ||||
\(839\) | −26.7833 | − | 73.5865i | −0.0319229 | − | 0.0877074i | 0.922707 | − | 0.385501i | \(-0.125971\pi\) |
−0.954630 | + | 0.297794i | \(0.903749\pi\) | |||||||
\(840\) | 1100.57 | − | 733.649i | 1.31020 | − | 0.873391i | ||||
\(841\) | −279.620 | + | 234.629i | −0.332485 | + | 0.278988i | ||||
\(842\) | 1198.81 | − | 740.867i | 1.42377 | − | 0.879889i | ||||
\(843\) | 1322.26 | − | 443.434i | 1.56851 | − | 0.526019i | ||||
\(844\) | −8.11971 | − | 135.384i | −0.00962051 | − | 0.160408i | ||||
\(845\) | −539.044 | + | 933.652i | −0.637922 | + | 1.10491i | ||||
\(846\) | 849.111 | + | 514.339i | 1.00368 | + | 0.607966i | ||||
\(847\) | −133.991 | − | 232.079i | −0.158195 | − | 0.274001i | ||||
\(848\) | −71.7312 | − | 16.7393i | −0.0845887 | − | 0.0197397i | ||||
\(849\) | −7.59921 | − | 50.6088i | −0.00895078 | − | 0.0596099i | ||||
\(850\) | −31.3894 | − | 1047.68i | −0.0369288 | − | 1.23257i | ||||
\(851\) | −1860.74 | − | 677.255i | −2.18654 | − | 0.795834i | ||||
\(852\) | −46.4599 | − | 36.3354i | −0.0545304 | − | 0.0426471i | ||||
\(853\) | 558.424 | + | 98.4653i | 0.654659 | + | 0.115434i | 0.491105 | − | 0.871100i | \(-0.336593\pi\) |
0.163554 | + | 0.986534i | \(0.447704\pi\) | |||||||
\(854\) | 170.698 | − | 216.266i | 0.199880 | − | 0.253239i | ||||
\(855\) | 783.767 | + | 1037.12i | 0.916687 | + | 1.21300i | ||||
\(856\) | −413.151 | − | 586.801i | −0.482653 | − | 0.685515i | ||||
\(857\) | 695.980 | − | 829.437i | 0.812112 | − | 0.967838i | −0.187785 | − | 0.982210i | \(-0.560131\pi\) |
0.999897 | + | 0.0143726i | \(0.00457511\pi\) | |||||||
\(858\) | 461.880 | − | 391.088i | 0.538322 | − | 0.455814i | ||||
\(859\) | 913.627 | − | 161.097i | 1.06359 | − | 0.187540i | 0.385643 | − | 0.922648i | \(-0.373980\pi\) |
0.677950 | + | 0.735108i | \(0.262868\pi\) | |||||||
\(860\) | 1410.04 | + | 162.344i | 1.63958 | + | 0.188772i | ||||
\(861\) | −258.693 | + | 422.802i | −0.300456 | + | 0.491060i | ||||
\(862\) | −479.622 | − | 538.011i | −0.556406 | − | 0.624143i | ||||
\(863\) | − | 1009.75i | − | 1.17004i | −0.811018 | − | 0.585022i | \(-0.801086\pi\) | ||
0.811018 | − | 0.585022i | \(-0.198914\pi\) | |||||||
\(864\) | 354.160 | + | 788.078i | 0.409908 | + | 0.912127i | ||||
\(865\) | −2496.84 | −2.88652 | ||||||||
\(866\) | −599.433 | + | 534.377i | −0.692185 | + | 0.617064i | ||||
\(867\) | −18.1670 | + | 712.537i | −0.0209538 | + | 0.821843i | ||||
\(868\) | −14.1137 | + | 122.585i | −0.0162600 | + | 0.141227i | ||||
\(869\) | 56.9526 | + | 322.994i | 0.0655381 | + | 0.371685i | ||||
\(870\) | −1275.76 | + | 230.824i | −1.46639 | + | 0.265315i | ||||
\(871\) | −307.260 | − | 257.822i | −0.352767 | − | 0.296007i | ||||
\(872\) | 1138.08 | − | 801.292i | 1.30514 | − | 0.918913i | ||||
\(873\) | −607.906 | − | 565.317i | −0.696342 | − | 0.647557i | ||||
\(874\) | −1023.80 | − | 808.079i | −1.17139 | − | 0.924575i | ||||
\(875\) | 460.243 | − | 2610.17i | 0.525992 | − | 2.98305i | ||||
\(876\) | −296.967 | − | 41.8855i | −0.339003 | − | 0.0478145i | ||||
\(877\) | 442.842 | − | 1216.70i | 0.504951 | − | 1.38734i | −0.381435 | − | 0.924396i | \(-0.624570\pi\) |
0.886386 | − | 0.462946i | \(-0.153208\pi\) | |||||||
\(878\) | 369.682 | − | 11.0760i | 0.421050 | − | 0.0126150i | ||||
\(879\) | −340.150 | + | 865.270i | −0.386974 | + | 0.984381i | ||||
\(880\) | −2007.10 | − | 468.381i | −2.28080 | − | 0.532251i | ||||
\(881\) | −654.122 | + | 377.657i | −0.742477 | + | 0.428669i | −0.822969 | − | 0.568086i | \(-0.807684\pi\) |
0.0804925 | + | 0.996755i | \(0.474351\pi\) | |||||||
\(882\) | −307.340 | + | 104.598i | −0.348458 | + | 0.118592i | ||||
\(883\) | −1381.77 | − | 797.767i | −1.56486 | − | 0.903474i | −0.996753 | − | 0.0805205i | \(-0.974342\pi\) |
−0.568109 | − | 0.822953i | \(-0.692325\pi\) | |||||||
\(884\) | −222.032 | + | 13.3164i | −0.251167 | + | 0.0150639i | ||||
\(885\) | −116.743 | + | 132.138i | −0.131913 | + | 0.149308i | ||||
\(886\) | 749.829 | + | 1213.31i | 0.846309 | + | 1.36943i | ||||
\(887\) | −387.458 | − | 461.754i | −0.436818 | − | 0.520580i | 0.502058 | − | 0.864834i | \(-0.332576\pi\) |
−0.938877 | + | 0.344254i | \(0.888132\pi\) | |||||||
\(888\) | −1060.58 | + | 68.3582i | −1.19434 | + | 0.0769799i | ||||
\(889\) | 547.537 | − | 199.287i | 0.615902 | − | 0.224170i | ||||
\(890\) | 570.272 | + | 1431.86i | 0.640755 | + | 1.60883i | ||||
\(891\) | −1021.50 | + | 257.681i | −1.14646 | + | 0.289204i | ||||
\(892\) | 699.550 | − | 662.277i | 0.784249 | − | 0.742463i | ||||
\(893\) | −755.824 | + | 275.097i | −0.846387 | + | 0.308060i | ||||
\(894\) | 105.220 | − | 126.538i | 0.117695 | − | 0.141541i | ||||
\(895\) | −175.037 | + | 146.873i | −0.195572 | + | 0.164104i | ||||
\(896\) | −219.948 | + | 677.446i | −0.245478 | + | 0.756079i | ||||
\(897\) | 688.853 | − | 779.690i | 0.767953 | − | 0.869219i | ||||
\(898\) | 386.595 | − | 1170.06i | 0.430506 | − | 1.30296i | ||||
\(899\) | 60.4748 | − | 104.746i | 0.0672690 | − | 0.116513i | ||||
\(900\) | 2480.56 | + | 877.865i | 2.75617 | + | 0.975406i | ||||
\(901\) | −28.5863 | + | 16.5043i | −0.0317273 | + | 0.0183178i | ||||
\(902\) | 756.265 | − | 156.837i | 0.838431 | − | 0.173877i | ||||
\(903\) | 556.620 | + | 218.815i | 0.616412 | + | 0.242320i | ||||
\(904\) | 753.646 | + | 749.753i | 0.833679 | + | 0.829373i | ||||
\(905\) | −788.839 | + | 2167.32i | −0.871645 | + | 2.39483i | ||||
\(906\) | −735.972 | − | 420.547i | −0.812331 | − | 0.464180i | ||||
\(907\) | 854.152 | + | 150.610i | 0.941733 | + | 0.166053i | 0.623380 | − | 0.781919i | \(-0.285759\pi\) |
0.318353 | + | 0.947972i | \(0.396870\pi\) | |||||||
\(908\) | 458.155 | + | 136.301i | 0.504576 | + | 0.150112i | ||||
\(909\) | −783.024 | + | 240.575i | −0.861413 | + | 0.264659i | ||||
\(910\) | −845.918 | − | 123.163i | −0.929581 | − | 0.135344i | ||||
\(911\) | −67.7259 | + | 80.7126i | −0.0743424 | + | 0.0885978i | −0.801934 | − | 0.597413i | \(-0.796195\pi\) |
0.727591 | + | 0.686011i | \(0.240640\pi\) | |||||||
\(912\) | −677.431 | − | 176.408i | −0.742798 | − | 0.193430i | ||||
\(913\) | −117.191 | − | 664.623i | −0.128358 | − | 0.727955i | ||||
\(914\) | 38.8084 | − | 72.1236i | 0.0424599 | − | 0.0789098i | ||||
\(915\) | 735.335 | + | 18.7482i | 0.803645 | + | 0.0204899i | ||||
\(916\) | 619.931 | + | 310.002i | 0.676780 | + | 0.338430i | ||||
\(917\) | −805.657 | −0.878579 | ||||||||
\(918\) | 357.283 | + | 149.201i | 0.389198 | + | 0.162529i | ||||
\(919\) | 906.425 | 0.986317 | 0.493158 | − | 0.869940i | \(-0.335842\pi\) | ||||
0.493158 | + | 0.869940i | \(0.335842\pi\) | |||||||
\(920\) | −3530.35 | − | 299.658i | −3.83734 | − | 0.325715i | ||||
\(921\) | 596.976 | − | 975.686i | 0.648183 | − | 1.05938i | ||||
\(922\) | −580.179 | + | 1078.24i | −0.629262 | + | 1.16945i | ||||
\(923\) | 6.61930 | + | 37.5399i | 0.00717150 | + | 0.0406716i | ||||
\(924\) | −766.614 | − | 408.102i | −0.829669 | − | 0.441668i | ||||
\(925\) | −2080.50 | + | 2479.45i | −2.24919 | + | 2.68048i | ||||
\(926\) | −131.427 | + | 902.674i | −0.141929 | + | 0.974810i | ||||
\(927\) | 910.661 | + | 385.072i | 0.982374 | + | 0.415396i | ||||
\(928\) | 461.869 | − | 523.529i | 0.497703 | − | 0.564148i | ||||
\(929\) | 1171.40 | + | 206.550i | 1.26093 | + | 0.222336i | 0.763864 | − | 0.645378i | \(-0.223300\pi\) |
0.497065 | + | 0.867713i | \(0.334411\pi\) | |||||||
\(930\) | −284.567 | + | 165.992i | −0.305986 | + | 0.178486i | ||||
\(931\) | 89.9639 | − | 247.174i | 0.0966314 | − | 0.265493i | ||||
\(932\) | 311.456 | + | 718.624i | 0.334181 | + | 0.771056i | ||||
\(933\) | 109.566 | + | 729.685i | 0.117435 | + | 0.782085i | ||||
\(934\) | 176.193 | + | 849.600i | 0.188643 | + | 0.909636i | ||||
\(935\) | −799.872 | + | 461.806i | −0.855478 | + | 0.493910i | ||||
\(936\) | 170.445 | − | 531.746i | 0.182100 | − | 0.568105i | ||||
\(937\) | −407.569 | + | 705.930i | −0.434972 | + | 0.753393i | −0.997293 | − | 0.0735254i | \(-0.976575\pi\) |
0.562322 | + | 0.826919i | \(0.309908\pi\) | |||||||
\(938\) | −180.572 | + | 546.514i | −0.192507 | + | 0.582637i | ||||
\(939\) | 147.142 | + | 438.755i | 0.156700 | + | 0.467258i | ||||
\(940\) | −1301.73 | + | 1754.84i | −1.38482 | + | 1.86685i | ||||
\(941\) | −775.204 | + | 650.474i | −0.823809 | + | 0.691258i | −0.953861 | − | 0.300249i | \(-0.902930\pi\) |
0.130052 | + | 0.991507i | \(0.458486\pi\) | |||||||
\(942\) | 31.8603 | − | 185.525i | 0.0338220 | − | 0.196948i | ||||
\(943\) | 1247.66 | − | 454.111i | 1.32307 | − | 0.481560i | ||||
\(944\) | 5.19352 | − | 94.8062i | 0.00550161 | − | 0.100430i | ||||
\(945\) | 1228.05 | + | 840.284i | 1.29953 | + | 0.889190i | ||||
\(946\) | −344.829 | − | 865.807i | −0.364512 | − | 0.915230i | ||||
\(947\) | 408.168 | − | 148.561i | 0.431012 | − | 0.156875i | −0.117398 | − | 0.993085i | \(-0.537455\pi\) |
0.548410 | + | 0.836209i | \(0.315233\pi\) | |||||||
\(948\) | 202.372 | + | 224.980i | 0.213472 | + | 0.237320i | ||||
\(949\) | 124.589 | + | 148.480i | 0.131285 | + | 0.156459i | ||||
\(950\) | −1813.55 | + | 1120.78i | −1.90900 | + | 1.17976i | ||||
\(951\) | −349.776 | − | 70.9116i | −0.367798 | − | 0.0745653i | ||||
\(952\) | 135.642 | + | 288.930i | 0.142481 | + | 0.303497i | ||||
\(953\) | −1048.63 | − | 605.429i | −1.10035 | − | 0.635288i | −0.164037 | − | 0.986454i | \(-0.552452\pi\) |
−0.936313 | + | 0.351166i | \(0.885785\pi\) | |||||||
\(954\) | −12.6703 | − | 81.8914i | −0.0132812 | − | 0.0858400i | ||||
\(955\) | 762.523 | − | 440.243i | 0.798454 | − | 0.460988i | ||||
\(956\) | −1100.30 | + | 726.403i | −1.15094 | + | 0.759836i | ||||
\(957\) | 530.383 | + | 665.840i | 0.554214 | + | 0.695758i | ||||
\(958\) | 47.0884 | + | 1571.67i | 0.0491528 | + | 1.64057i | ||||
\(959\) | 375.139 | − | 1030.69i | 0.391177 | − | 1.07475i | ||||
\(960\) | −1799.76 | + | 613.955i | −1.87475 | + | 0.639537i | ||||
\(961\) | −161.539 | + | 916.133i | −0.168095 | + | 0.953312i | ||||
\(962\) | 539.153 | + | 425.552i | 0.560450 | + | 0.442361i | ||||
\(963\) | 438.787 | − | 677.716i | 0.455646 | − | 0.703755i | ||||
\(964\) | −58.3654 | − | 244.383i | −0.0605451 | − | 0.253509i | ||||
\(965\) | 1685.41 | + | 1414.23i | 1.74654 | + | 1.46552i | ||||
\(966\) | −1405.19 | − | 504.359i | −1.45465 | − | 0.522111i | ||||
\(967\) | −156.841 | − | 889.489i | −0.162193 | − | 0.919844i | −0.951911 | − | 0.306374i | \(-0.900884\pi\) |
0.789718 | − | 0.613470i | \(-0.210227\pi\) | |||||||
\(968\) | 100.679 | + | 371.885i | 0.104007 | + | 0.384179i | ||||
\(969\) | −275.584 | + | 149.876i | −0.284400 | + | 0.154671i | ||||
\(970\) | 1363.82 | − | 1215.81i | 1.40600 | − | 1.25341i | ||||
\(971\) | 104.138 | 0.107248 | 0.0536240 | − | 0.998561i | \(-0.482923\pi\) | ||||
0.0536240 | + | 0.998561i | \(0.482923\pi\) | |||||||
\(972\) | −673.623 | + | 700.725i | −0.693028 | + | 0.720910i | ||||
\(973\) | − | 51.9399i | − | 0.0533812i | ||||||
\(974\) | 377.352 | − | 336.399i | 0.387425 | − | 0.345379i | ||||
\(975\) | −812.484 | − | 1493.95i | −0.833317 | − | 1.53226i | ||||
\(976\) | −316.905 | + | 237.632i | −0.324698 | + | 0.243475i | ||||
\(977\) | 1095.40 | − | 193.149i | 1.12119 | − | 0.197696i | 0.417826 | − | 0.908527i | \(-0.362792\pi\) |
0.703363 | + | 0.710831i | \(0.251681\pi\) | |||||||
\(978\) | −260.216 | − | 93.3984i | −0.266070 | − | 0.0954994i | ||||
\(979\) | 650.487 | − | 775.221i | 0.664441 | − | 0.791849i | ||||
\(980\) | −165.982 | − | 694.987i | −0.169370 | − | 0.709170i | ||||
\(981\) | 1314.41 | + | 851.013i | 1.33987 | + | 0.867496i | ||||
\(982\) | −793.496 | − | 626.303i | −0.808041 | − | 0.637783i | ||||
\(983\) | −1311.49 | − | 231.251i | −1.33417 | − | 0.235250i | −0.539343 | − | 0.842086i | \(-0.681327\pi\) |
−0.794827 | + | 0.606836i | \(0.792438\pi\) | |||||||
\(984\) | 515.297 | − | 492.220i | 0.523676 | − | 0.500223i | ||||
\(985\) | 2351.23 | + | 855.779i | 2.38704 | + | 0.868811i | ||||
\(986\) | −9.36933 | − | 312.720i | −0.00950237 | − | 0.317160i | ||||
\(987\) | −720.141 | + | 573.637i | −0.729626 | + | 0.581193i | ||||
\(988\) | 249.260 | + | 377.561i | 0.252288 | + | 0.382147i | ||||
\(989\) | −801.041 | − | 1387.44i | −0.809950 | − | 1.40287i | ||||
\(990\) | −354.526 | − | 2291.40i | −0.358107 | − | 2.31454i | ||||
\(991\) | −322.514 | + | 558.611i | −0.325443 | + | 0.563684i | −0.981602 | − | 0.190939i | \(-0.938847\pi\) |
0.656159 | + | 0.754623i | \(0.272180\pi\) | |||||||
\(992\) | 64.7861 | − | 165.150i | 0.0653085 | − | 0.166481i | ||||
\(993\) | 161.232 | − | 795.288i | 0.162369 | − | 0.800895i | ||||
\(994\) | 46.5315 | − | 28.7565i | 0.0468124 | − | 0.0289301i | ||||
\(995\) | 169.469 | − | 142.201i | 0.170321 | − | 0.142916i | ||||
\(996\) | −416.419 | − | 462.939i | −0.418091 | − | 0.464798i | ||||
\(997\) | −555.831 | − | 1527.13i | −0.557504 | − | 1.53173i | −0.823246 | − | 0.567685i | \(-0.807839\pi\) |
0.265742 | − | 0.964044i | \(-0.414383\pi\) | |||||||
\(998\) | −125.412 | − | 314.889i | −0.125663 | − | 0.315520i | ||||
\(999\) | −516.959 | − | 1078.08i | −0.517477 | − | 1.07916i |
(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 | 216.3.x.a.101.55 | yes | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.101.1 | yes | 420 | |
27.23 | odd | 18 | inner | 216.3.x.a.77.1 | ✓ | 420 | |
216.77 | odd | 18 | inner | 216.3.x.a.77.55 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.77.1 | ✓ | 420 | 27.23 | odd | 18 | inner | |
216.3.x.a.77.55 | yes | 420 | 216.77 | odd | 18 | inner | |
216.3.x.a.101.1 | yes | 420 | 8.5 | even | 2 | inner | |
216.3.x.a.101.55 | yes | 420 | 1.1 | even | 1 | trivial |