Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(20,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.20");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.t (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 20.14 | ||
Character | \(\chi\) | \(=\) | 287.20 |
Dual form | 287.3.t.a.244.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.36022 | − | 0.766883i | −1.18011 | − | 0.383442i | −0.347704 | − | 0.937605i | \(-0.613038\pi\) |
−0.832408 | + | 0.554163i | \(0.813038\pi\) | |||||||
\(3\) | 3.15575 | + | 3.15575i | 1.05192 | + | 1.05192i | 0.998576 | + | 0.0533392i | \(0.0169865\pi\) |
0.0533392 | + | 0.998576i | \(0.483014\pi\) | |||||||
\(4\) | 1.74648 | + | 1.26889i | 0.436619 | + | 0.317223i | ||||
\(5\) | 6.16033 | + | 4.47574i | 1.23207 | + | 0.895148i | 0.997043 | − | 0.0768417i | \(-0.0244836\pi\) |
0.235023 | + | 0.971990i | \(0.424484\pi\) | |||||||
\(6\) | −5.02818 | − | 9.86836i | −0.838030 | − | 1.64473i | ||||
\(7\) | 4.12164 | + | 5.65792i | 0.588806 | + | 0.808274i | ||||
\(8\) | 2.68581 | + | 3.69670i | 0.335726 | + | 0.462087i | ||||
\(9\) | 10.9175i | 1.21305i | ||||||||
\(10\) | −11.1074 | − | 15.2880i | −1.11074 | − | 1.52880i | ||||
\(11\) | −1.58609 | + | 10.0142i | −0.144190 | + | 0.910382i | 0.804449 | + | 0.594022i | \(0.202461\pi\) |
−0.948639 | + | 0.316360i | \(0.897539\pi\) | |||||||
\(12\) | 1.50714 | + | 9.51574i | 0.125595 | + | 0.792978i | ||||
\(13\) | 10.1412 | − | 5.16718i | 0.780090 | − | 0.397476i | −0.0181347 | − | 0.999836i | \(-0.505773\pi\) |
0.798225 | + | 0.602360i | \(0.205773\pi\) | |||||||
\(14\) | −5.38903 | − | 16.5148i | −0.384931 | − | 1.17963i | ||||
\(15\) | 5.31613 | + | 33.5647i | 0.354409 | + | 2.23765i | ||||
\(16\) | −6.17255 | − | 18.9972i | −0.385784 | − | 1.18732i | ||||
\(17\) | 1.09196 | − | 6.89438i | 0.0642331 | − | 0.405552i | −0.934532 | − | 0.355878i | \(-0.884182\pi\) |
0.998765 | − | 0.0496738i | \(-0.0158182\pi\) | |||||||
\(18\) | 8.37243 | − | 25.7677i | 0.465135 | − | 1.43154i | ||||
\(19\) | −22.7713 | − | 11.6026i | −1.19849 | − | 0.610662i | −0.263269 | − | 0.964722i | \(-0.584801\pi\) |
−0.935223 | + | 0.354060i | \(0.884801\pi\) | |||||||
\(20\) | 5.07965 | + | 15.6336i | 0.253983 | + | 0.781678i | ||||
\(21\) | −4.84810 | + | 30.8618i | −0.230862 | + | 1.46961i | ||||
\(22\) | 11.4233 | − | 22.4194i | 0.519239 | − | 1.01906i | ||||
\(23\) | 9.74155 | − | 29.9814i | 0.423546 | − | 1.30354i | −0.480834 | − | 0.876812i | \(-0.659666\pi\) |
0.904380 | − | 0.426728i | \(-0.140334\pi\) | |||||||
\(24\) | −3.19011 | + | 20.1416i | −0.132921 | + | 0.839232i | ||||
\(25\) | 10.1920 | + | 31.3677i | 0.407679 | + | 1.25471i | ||||
\(26\) | −27.8981 | + | 4.41862i | −1.07300 | + | 0.169947i | ||||
\(27\) | −6.05107 | + | 6.05107i | −0.224114 | + | 0.224114i | ||||
\(28\) | 0.0190763 | + | 15.1113i | 0.000681298 | + | 0.539691i | ||||
\(29\) | −28.4756 | + | 4.51010i | −0.981918 | + | 0.155521i | −0.626698 | − | 0.779262i | \(-0.715594\pi\) |
−0.355220 | + | 0.934783i | \(0.615594\pi\) | |||||||
\(30\) | 13.1930 | − | 83.2972i | 0.439766 | − | 2.77657i | ||||
\(31\) | −10.9917 | − | 15.1288i | −0.354571 | − | 0.488025i | 0.594055 | − | 0.804424i | \(-0.297526\pi\) |
−0.948626 | + | 0.316399i | \(0.897526\pi\) | |||||||
\(32\) | 31.2937i | 0.977928i | ||||||||
\(33\) | −36.6076 | + | 26.5970i | −1.10932 | + | 0.805969i | ||||
\(34\) | −7.86446 | + | 15.4349i | −0.231308 | + | 0.453967i | ||||
\(35\) | 0.0672878 | + | 53.3021i | 0.00192251 | + | 1.52292i | ||||
\(36\) | −13.8531 | + | 19.0671i | −0.384808 | + | 0.529642i | ||||
\(37\) | −21.7302 | − | 15.7879i | −0.587302 | − | 0.426700i | 0.254047 | − | 0.967192i | \(-0.418238\pi\) |
−0.841349 | + | 0.540492i | \(0.818238\pi\) | |||||||
\(38\) | 44.8476 | + | 44.8476i | 1.18020 | + | 1.18020i | ||||
\(39\) | 48.3093 | + | 15.6966i | 1.23870 | + | 0.402478i | ||||
\(40\) | 34.7938i | 0.869846i | ||||||||
\(41\) | 8.46133 | − | 40.1174i | 0.206374 | − | 0.978473i | ||||
\(42\) | 35.1100 | − | 69.1229i | 0.835953 | − | 1.64578i | ||||
\(43\) | 61.4153 | + | 19.9550i | 1.42826 | + | 0.464070i | 0.918217 | − | 0.396077i | \(-0.129629\pi\) |
0.510045 | + | 0.860148i | \(0.329629\pi\) | |||||||
\(44\) | −15.4770 | + | 15.4770i | −0.351750 | + | 0.351750i | ||||
\(45\) | −48.8638 | + | 67.2553i | −1.08586 | + | 1.49456i | ||||
\(46\) | −45.9845 | + | 63.2922i | −0.999663 | + | 1.37592i | ||||
\(47\) | 21.2658 | + | 41.7365i | 0.452464 | + | 0.888010i | 0.998729 | + | 0.0503977i | \(0.0160489\pi\) |
−0.546266 | + | 0.837612i | \(0.683951\pi\) | |||||||
\(48\) | 40.4712 | − | 79.4292i | 0.843150 | − | 1.65478i | ||||
\(49\) | −15.0241 | + | 46.6399i | −0.306615 | + | 0.951834i | ||||
\(50\) | − | 81.8508i | − | 1.63702i | ||||||
\(51\) | 25.2029 | − | 18.3110i | 0.494174 | − | 0.359039i | ||||
\(52\) | 24.2679 | + | 3.84366i | 0.466691 | + | 0.0739165i | ||||
\(53\) | 11.1190 | − | 1.76107i | 0.209792 | − | 0.0332278i | −0.0506538 | − | 0.998716i | \(-0.516130\pi\) |
0.260446 | + | 0.965488i | \(0.416130\pi\) | |||||||
\(54\) | 18.9224 | − | 9.64142i | 0.350414 | − | 0.178545i | ||||
\(55\) | −54.5918 | + | 54.5918i | −0.992579 | + | 0.992579i | ||||
\(56\) | −9.84568 | + | 30.4325i | −0.175816 | + | 0.543438i | ||||
\(57\) | −35.2458 | − | 108.475i | −0.618347 | − | 1.90308i | ||||
\(58\) | 70.6676 | + | 11.1926i | 1.21841 | + | 0.192977i | ||||
\(59\) | 65.7540 | + | 21.3648i | 1.11448 | + | 0.362115i | 0.807657 | − | 0.589653i | \(-0.200736\pi\) |
0.306819 | + | 0.951768i | \(0.400736\pi\) | |||||||
\(60\) | −33.3055 | + | 65.3657i | −0.555091 | + | 1.08943i | ||||
\(61\) | 0.516593 | + | 1.58991i | 0.00846874 | + | 0.0260641i | 0.955202 | − | 0.295956i | \(-0.0956382\pi\) |
−0.946733 | + | 0.322020i | \(0.895638\pi\) | |||||||
\(62\) | 14.3409 | + | 44.1366i | 0.231304 | + | 0.711881i | ||||
\(63\) | −61.7702 | + | 44.9979i | −0.980480 | + | 0.714253i | ||||
\(64\) | −0.691597 | + | 2.12852i | −0.0108062 | + | 0.0332581i | ||||
\(65\) | 85.5999 | + | 13.5577i | 1.31692 | + | 0.208580i | ||||
\(66\) | 106.799 | − | 34.7011i | 1.61816 | − | 0.525774i | ||||
\(67\) | −3.50228 | − | 22.1126i | −0.0522729 | − | 0.330038i | −0.999942 | − | 0.0107835i | \(-0.996567\pi\) |
0.947669 | − | 0.319255i | \(-0.103433\pi\) | |||||||
\(68\) | 10.6553 | − | 10.6553i | 0.156696 | − | 0.156696i | ||||
\(69\) | 125.356 | − | 63.8719i | 1.81675 | − | 0.925680i | ||||
\(70\) | 40.7176 | − | 125.856i | 0.581680 | − | 1.79795i | ||||
\(71\) | 4.68287 | − | 29.5665i | 0.0659560 | − | 0.416430i | −0.932514 | − | 0.361134i | \(-0.882390\pi\) |
0.998470 | − | 0.0552959i | \(-0.0176102\pi\) | |||||||
\(72\) | −40.3586 | + | 29.3222i | −0.560536 | + | 0.407253i | ||||
\(73\) | −97.5650 | −1.33651 | −0.668253 | − | 0.743934i | \(-0.732958\pi\) | ||||
−0.668253 | + | 0.743934i | \(0.732958\pi\) | |||||||
\(74\) | 39.1806 | + | 53.9275i | 0.529468 | + | 0.728750i | ||||
\(75\) | −66.8251 | + | 131.152i | −0.891002 | + | 1.74869i | ||||
\(76\) | −25.0472 | − | 49.1580i | −0.329569 | − | 0.646815i | ||||
\(77\) | −63.1969 | + | 32.3010i | −0.820739 | + | 0.419493i | ||||
\(78\) | −101.983 | − | 74.0952i | −1.30748 | − | 0.949938i | ||||
\(79\) | −89.9826 | + | 89.9826i | −1.13902 | + | 1.13902i | −0.150394 | + | 0.988626i | \(0.548054\pi\) |
−0.988626 | + | 0.150394i | \(0.951946\pi\) | |||||||
\(80\) | 47.0014 | − | 144.655i | 0.587518 | − | 1.80819i | ||||
\(81\) | 60.0660 | 0.741555 | ||||||||
\(82\) | −50.7360 | + | 88.1972i | −0.618732 | + | 1.07558i | ||||
\(83\) | − | 143.495i | − | 1.72885i | −0.502760 | − | 0.864426i | \(-0.667682\pi\) | ||
0.502760 | − | 0.864426i | \(-0.332318\pi\) | |||||||
\(84\) | −47.6274 | + | 47.7478i | −0.566993 | + | 0.568426i | ||||
\(85\) | 37.5843 | − | 37.5843i | 0.442169 | − | 0.442169i | ||||
\(86\) | −129.651 | − | 94.1967i | −1.50756 | − | 1.09531i | ||||
\(87\) | −104.095 | − | 75.6292i | −1.19649 | − | 0.869301i | ||||
\(88\) | −41.2794 | + | 21.0329i | −0.469084 | + | 0.239010i | ||||
\(89\) | 16.1192 | − | 31.6357i | 0.181115 | − | 0.355457i | −0.782544 | − | 0.622596i | \(-0.786078\pi\) |
0.963658 | + | 0.267138i | \(0.0860781\pi\) | |||||||
\(90\) | 166.906 | − | 121.265i | 1.85452 | − | 1.34738i | ||||
\(91\) | 71.0338 | + | 36.0806i | 0.780591 | + | 0.396491i | ||||
\(92\) | 55.0565 | − | 40.0009i | 0.598440 | − | 0.434792i | ||||
\(93\) | 13.0556 | − | 82.4296i | 0.140382 | − | 0.886340i | ||||
\(94\) | −18.1850 | − | 114.816i | −0.193458 | − | 1.22144i | ||||
\(95\) | −88.3488 | − | 173.394i | −0.929988 | − | 1.82520i | ||||
\(96\) | −98.7550 | + | 98.7550i | −1.02870 | + | 1.02870i | ||||
\(97\) | −94.4871 | + | 14.9653i | −0.974094 | + | 0.154281i | −0.623139 | − | 0.782111i | \(-0.714143\pi\) |
−0.350955 | + | 0.936392i | \(0.614143\pi\) | |||||||
\(98\) | 71.2276 | − | 98.5587i | 0.726812 | − | 1.00570i | ||||
\(99\) | −109.330 | − | 17.3161i | −1.10434 | − | 0.174911i | ||||
\(100\) | −22.0021 | + | 67.7154i | −0.220021 | + | 0.677154i | ||||
\(101\) | −26.5487 | − | 13.5272i | −0.262858 | − | 0.133933i | 0.317595 | − | 0.948226i | \(-0.397125\pi\) |
−0.580453 | + | 0.814293i | \(0.697125\pi\) | |||||||
\(102\) | −73.5268 | + | 23.8903i | −0.720851 | + | 0.234219i | ||||
\(103\) | −2.33699 | − | 7.19252i | −0.0226893 | − | 0.0698303i | 0.939071 | − | 0.343724i | \(-0.111688\pi\) |
−0.961760 | + | 0.273894i | \(0.911688\pi\) | |||||||
\(104\) | 46.3387 | + | 23.6108i | 0.445565 | + | 0.227027i | ||||
\(105\) | −167.995 | + | 168.420i | −1.59996 | + | 1.60400i | ||||
\(106\) | −27.5938 | − | 4.37043i | −0.260319 | − | 0.0412305i | ||||
\(107\) | 20.3504 | + | 62.6321i | 0.190191 | + | 0.585347i | 0.999999 | − | 0.00134761i | \(-0.000428956\pi\) |
−0.809808 | + | 0.586694i | \(0.800429\pi\) | |||||||
\(108\) | −18.2462 | + | 2.88992i | −0.168946 | + | 0.0267585i | ||||
\(109\) | −85.5051 | − | 85.5051i | −0.784450 | − | 0.784450i | 0.196128 | − | 0.980578i | \(-0.437163\pi\) |
−0.980578 | + | 0.196128i | \(0.937163\pi\) | |||||||
\(110\) | 170.714 | − | 86.9834i | 1.55195 | − | 0.790758i | ||||
\(111\) | −18.7523 | − | 118.398i | −0.168940 | − | 1.06664i | ||||
\(112\) | 82.0434 | − | 113.223i | 0.732530 | − | 1.01092i | ||||
\(113\) | 178.924 | − | 129.996i | 1.58340 | − | 1.15041i | 0.670735 | − | 0.741697i | \(-0.265979\pi\) |
0.912664 | − | 0.408710i | \(-0.134021\pi\) | |||||||
\(114\) | 283.056i | 2.48294i | ||||||||
\(115\) | 194.200 | − | 141.095i | 1.68870 | − | 1.22691i | ||||
\(116\) | −55.4549 | − | 28.2557i | −0.478059 | − | 0.243583i | ||||
\(117\) | 56.4126 | + | 110.716i | 0.482159 | + | 0.946290i | ||||
\(118\) | −138.810 | − | 100.851i | −1.17636 | − | 0.854672i | ||||
\(119\) | 43.5085 | − | 22.2379i | 0.365618 | − | 0.186873i | ||||
\(120\) | −109.801 | + | 109.801i | −0.915005 | + | 0.915005i | ||||
\(121\) | 17.3093 | + | 5.62413i | 0.143052 | + | 0.0464804i | ||||
\(122\) | − | 4.14871i | − | 0.0340058i | ||||||
\(123\) | 153.302 | − | 99.8986i | 1.24636 | − | 0.812183i | ||||
\(124\) | − | 40.3693i | − | 0.325559i | ||||||
\(125\) | −18.7817 | + | 57.8042i | −0.150254 | + | 0.462434i | ||||
\(126\) | 180.300 | − | 58.8347i | 1.43095 | − | 0.466942i | ||||
\(127\) | 147.404 | + | 107.096i | 1.16066 | + | 0.843272i | 0.989862 | − | 0.142033i | \(-0.0453641\pi\) |
0.170802 | + | 0.985305i | \(0.445364\pi\) | |||||||
\(128\) | 76.8405 | − | 105.762i | 0.600317 | − | 0.826265i | ||||
\(129\) | 130.838 | + | 256.784i | 1.01425 | + | 1.99057i | ||||
\(130\) | −191.638 | − | 97.6443i | −1.47414 | − | 0.751110i | ||||
\(131\) | −131.191 | + | 95.3157i | −1.00146 | + | 0.727600i | −0.962400 | − | 0.271637i | \(-0.912435\pi\) |
−0.0390562 | + | 0.999237i | \(0.512435\pi\) | |||||||
\(132\) | −97.6830 | −0.740023 | ||||||||
\(133\) | −28.2089 | − | 176.660i | −0.212097 | − | 1.32827i | ||||
\(134\) | −8.69157 | + | 54.8764i | −0.0648625 | + | 0.409526i | ||||
\(135\) | −64.3597 | + | 10.1936i | −0.476738 | + | 0.0755079i | ||||
\(136\) | 28.4192 | − | 14.4803i | 0.208965 | − | 0.106473i | ||||
\(137\) | 127.586 | + | 127.586i | 0.931288 | + | 0.931288i | 0.997787 | − | 0.0664986i | \(-0.0211828\pi\) |
−0.0664986 | + | 0.997787i | \(0.521183\pi\) | |||||||
\(138\) | −344.850 | + | 54.6188i | −2.49891 | + | 0.395788i | ||||
\(139\) | −33.4417 | + | 10.8659i | −0.240588 | + | 0.0781718i | −0.426829 | − | 0.904332i | \(-0.640369\pi\) |
0.186241 | + | 0.982504i | \(0.440369\pi\) | |||||||
\(140\) | −67.5169 | + | 93.1762i | −0.482264 | + | 0.665544i | ||||
\(141\) | −64.6003 | + | 198.819i | −0.458158 | + | 1.41006i | ||||
\(142\) | −33.7267 | + | 66.1923i | −0.237512 | + | 0.466143i | ||||
\(143\) | 35.6604 | + | 109.751i | 0.249373 | + | 0.767492i | ||||
\(144\) | 207.401 | − | 67.3887i | 1.44029 | − | 0.467977i | ||||
\(145\) | −195.605 | − | 99.6659i | −1.34900 | − | 0.687351i | ||||
\(146\) | 230.275 | + | 74.8210i | 1.57723 | + | 0.512472i | ||||
\(147\) | −194.596 | + | 99.7712i | −1.32378 | + | 0.678716i | ||||
\(148\) | −17.9182 | − | 55.1464i | −0.121069 | − | 0.372611i | ||||
\(149\) | −9.47895 | − | 59.8477i | −0.0636171 | − | 0.401663i | −0.998863 | − | 0.0476648i | \(-0.984822\pi\) |
0.935246 | − | 0.353998i | \(-0.115178\pi\) | |||||||
\(150\) | 258.300 | − | 258.300i | 1.72200 | − | 1.72200i | ||||
\(151\) | −68.2901 | − | 134.027i | −0.452252 | − | 0.887595i | −0.998743 | − | 0.0501294i | \(-0.984037\pi\) |
0.546491 | − | 0.837465i | \(-0.315963\pi\) | |||||||
\(152\) | −18.2682 | − | 115.341i | −0.120186 | − | 0.758822i | ||||
\(153\) | 75.2693 | + | 11.9215i | 0.491956 | + | 0.0779182i | ||||
\(154\) | 173.930 | − | 27.7729i | 1.12941 | − | 0.180343i | ||||
\(155\) | − | 142.394i | − | 0.918673i | ||||||
\(156\) | 64.4538 | + | 88.7130i | 0.413165 | + | 0.568673i | ||||
\(157\) | −105.403 | + | 206.865i | −0.671355 | + | 1.31761i | 0.264213 | + | 0.964464i | \(0.414888\pi\) |
−0.935569 | + | 0.353145i | \(0.885112\pi\) | |||||||
\(158\) | 281.385 | − | 143.373i | 1.78092 | − | 0.907423i | ||||
\(159\) | 40.6462 | + | 29.5312i | 0.255636 | + | 0.185731i | ||||
\(160\) | −140.062 | + | 192.779i | −0.875390 | + | 1.20487i | ||||
\(161\) | 209.784 | − | 68.4557i | 1.30300 | − | 0.425191i | ||||
\(162\) | −141.769 | − | 46.0636i | −0.875118 | − | 0.284343i | ||||
\(163\) | −91.0740 | −0.558736 | −0.279368 | − | 0.960184i | \(-0.590125\pi\) | ||||
−0.279368 | + | 0.960184i | \(0.590125\pi\) | |||||||
\(164\) | 65.6821 | − | 59.3276i | 0.400501 | − | 0.361754i | ||||
\(165\) | −344.556 | −2.08822 | ||||||||
\(166\) | −110.044 | + | 338.680i | −0.662914 | + | 2.04024i | ||||
\(167\) | 53.8276 | + | 53.8276i | 0.322321 | + | 0.322321i | 0.849657 | − | 0.527336i | \(-0.176809\pi\) |
−0.527336 | + | 0.849657i | \(0.676809\pi\) | |||||||
\(168\) | −127.108 | + | 64.9669i | −0.756594 | + | 0.386708i | ||||
\(169\) | −23.1922 | + | 31.9213i | −0.137232 | + | 0.188883i | ||||
\(170\) | −117.530 | + | 59.8846i | −0.691354 | + | 0.352262i | ||||
\(171\) | 126.671 | − | 248.606i | 0.740765 | − | 1.45383i | ||||
\(172\) | 81.9396 | + | 112.780i | 0.476393 | + | 0.655699i | ||||
\(173\) | −70.1276 | −0.405362 | −0.202681 | − | 0.979245i | \(-0.564965\pi\) | ||||
−0.202681 | + | 0.979245i | \(0.564965\pi\) | |||||||
\(174\) | 187.688 | + | 258.330i | 1.07867 | + | 1.48466i | ||||
\(175\) | −135.468 | + | 186.952i | −0.774103 | + | 1.06830i | ||||
\(176\) | 200.032 | − | 31.6819i | 1.13654 | − | 0.180011i | ||||
\(177\) | 140.081 | + | 274.925i | 0.791420 | + | 1.55325i | ||||
\(178\) | −62.3058 | + | 62.3058i | −0.350033 | + | 0.350033i | ||||
\(179\) | 27.4826 | + | 173.519i | 0.153534 | + | 0.969377i | 0.937351 | + | 0.348385i | \(0.113270\pi\) |
−0.783817 | + | 0.620992i | \(0.786730\pi\) | |||||||
\(180\) | −170.679 | + | 55.4570i | −0.948217 | + | 0.308094i | ||||
\(181\) | 44.8884 | − | 283.414i | 0.248002 | − | 1.56582i | −0.478143 | − | 0.878282i | \(-0.658690\pi\) |
0.726145 | − | 0.687541i | \(-0.241310\pi\) | |||||||
\(182\) | −139.986 | − | 139.633i | −0.769154 | − | 0.767214i | ||||
\(183\) | −3.38712 | + | 6.64759i | −0.0185088 | + | 0.0363256i | ||||
\(184\) | 136.996 | − | 44.5127i | 0.744544 | − | 0.241917i | ||||
\(185\) | −63.2025 | − | 194.517i | −0.341635 | − | 1.05144i | ||||
\(186\) | −94.0279 | + | 184.540i | −0.505527 | + | 0.992152i | ||||
\(187\) | 67.3098 | + | 21.8703i | 0.359945 | + | 0.116953i | ||||
\(188\) | −15.8188 | + | 99.8757i | −0.0841423 | + | 0.531254i | ||||
\(189\) | −59.1769 | − | 9.29613i | −0.313105 | − | 0.0491859i | ||||
\(190\) | 75.5498 | + | 477.003i | 0.397630 | + | 2.51054i | ||||
\(191\) | 193.172 | + | 193.172i | 1.01137 | + | 1.01137i | 0.999935 | + | 0.0114390i | \(0.00364124\pi\) |
0.0114390 | + | 0.999935i | \(0.496359\pi\) | |||||||
\(192\) | −8.89956 | + | 4.53455i | −0.0463519 | + | 0.0236175i | ||||
\(193\) | −95.9978 | + | 15.2046i | −0.497398 | + | 0.0787801i | −0.400093 | − | 0.916474i | \(-0.631022\pi\) |
−0.0973050 | + | 0.995255i | \(0.531022\pi\) | |||||||
\(194\) | 234.487 | + | 37.1391i | 1.20870 | + | 0.191439i | ||||
\(195\) | 227.347 | + | 312.916i | 1.16588 | + | 1.60470i | ||||
\(196\) | −85.4201 | + | 62.3915i | −0.435817 | + | 0.318324i | ||||
\(197\) | 70.3846 | + | 96.8760i | 0.357282 | + | 0.491756i | 0.949389 | − | 0.314103i | \(-0.101704\pi\) |
−0.592107 | + | 0.805859i | \(0.701704\pi\) | |||||||
\(198\) | 244.763 | + | 124.713i | 1.23618 | + | 0.629864i | ||||
\(199\) | 33.5514 | + | 65.8484i | 0.168600 | + | 0.330896i | 0.959811 | − | 0.280647i | \(-0.0905490\pi\) |
−0.791211 | + | 0.611543i | \(0.790549\pi\) | |||||||
\(200\) | −88.5830 | + | 121.924i | −0.442915 | + | 0.609621i | ||||
\(201\) | 58.7293 | − | 80.8340i | 0.292186 | − | 0.402159i | ||||
\(202\) | 52.2870 | + | 52.2870i | 0.258847 | + | 0.258847i | ||||
\(203\) | −142.884 | − | 142.524i | −0.703863 | − | 0.702088i | ||||
\(204\) | 67.2509 | 0.329661 | ||||||||
\(205\) | 231.680 | − | 209.266i | 1.13014 | − | 1.02081i | ||||
\(206\) | 18.7682i | 0.0911076i | ||||||||
\(207\) | 327.321 | + | 106.353i | 1.58126 | + | 0.513783i | ||||
\(208\) | −160.759 | − | 160.759i | −0.772878 | − | 0.772878i | ||||
\(209\) | 152.308 | − | 209.634i | 0.728747 | − | 1.00303i | ||||
\(210\) | 525.665 | − | 268.676i | 2.50317 | − | 1.27941i | ||||
\(211\) | 281.139 | − | 143.248i | 1.33241 | − | 0.678899i | 0.364742 | − | 0.931109i | \(-0.381157\pi\) |
0.967673 | + | 0.252210i | \(0.0811573\pi\) | |||||||
\(212\) | 21.6536 | + | 11.0331i | 0.102140 | + | 0.0520428i | ||||
\(213\) | 108.082 | − | 78.5264i | 0.507429 | − | 0.368669i | ||||
\(214\) | − | 163.432i | − | 0.763702i | ||||||
\(215\) | 289.025 | + | 397.808i | 1.34430 | + | 1.85027i | ||||
\(216\) | −38.6210 | − | 6.11696i | −0.178801 | − | 0.0283193i | ||||
\(217\) | 40.2936 | − | 124.546i | 0.185685 | − | 0.573943i | ||||
\(218\) | 136.239 | + | 267.383i | 0.624948 | + | 1.22653i | ||||
\(219\) | −307.890 | − | 307.890i | −1.40589 | − | 1.40589i | ||||
\(220\) | −164.614 | + | 26.0724i | −0.748247 | + | 0.118511i | ||||
\(221\) | −24.5508 | − | 75.5595i | −0.111089 | − | 0.341898i | ||||
\(222\) | −46.5374 | + | 293.825i | −0.209628 | + | 1.32354i | ||||
\(223\) | 108.573 | + | 35.2774i | 0.486873 | + | 0.158195i | 0.542159 | − | 0.840276i | \(-0.317607\pi\) |
−0.0552857 | + | 0.998471i | \(0.517607\pi\) | |||||||
\(224\) | −177.057 | + | 128.981i | −0.790434 | + | 0.575810i | ||||
\(225\) | −342.456 | + | 111.271i | −1.52203 | + | 0.494536i | ||||
\(226\) | −521.993 | + | 169.606i | −2.30970 | + | 0.750468i | ||||
\(227\) | −117.706 | − | 59.9741i | −0.518528 | − | 0.264203i | 0.175082 | − | 0.984554i | \(-0.443981\pi\) |
−0.693610 | + | 0.720351i | \(0.743981\pi\) | |||||||
\(228\) | 76.0874 | − | 234.173i | 0.333717 | − | 1.02707i | ||||
\(229\) | 10.4736 | − | 66.1275i | 0.0457361 | − | 0.288767i | −0.954210 | − | 0.299137i | \(-0.903301\pi\) |
0.999946 | + | 0.0103707i | \(0.00330115\pi\) | |||||||
\(230\) | −566.559 | + | 184.086i | −2.46330 | + | 0.800375i | ||||
\(231\) | −301.367 | − | 97.4996i | −1.30462 | − | 0.422076i | ||||
\(232\) | −93.1525 | − | 93.1525i | −0.401519 | − | 0.401519i | ||||
\(233\) | −191.683 | − | 376.199i | −0.822675 | − | 1.61459i | −0.788388 | − | 0.615178i | \(-0.789084\pi\) |
−0.0342866 | − | 0.999412i | \(-0.510916\pi\) | |||||||
\(234\) | −48.2402 | − | 304.576i | −0.206155 | − | 1.30161i | ||||
\(235\) | −55.7973 | + | 352.290i | −0.237435 | + | 1.49911i | ||||
\(236\) | 87.7284 | + | 120.748i | 0.371730 | + | 0.511643i | ||||
\(237\) | −567.925 | −2.39631 | ||||||||
\(238\) | −119.744 | + | 19.1205i | −0.503125 | + | 0.0803384i | ||||
\(239\) | −237.724 | − | 121.126i | −0.994660 | − | 0.506805i | −0.120641 | − | 0.992696i | \(-0.538495\pi\) |
−0.874019 | + | 0.485892i | \(0.838495\pi\) | |||||||
\(240\) | 604.821 | − | 308.172i | 2.52009 | − | 1.28405i | ||||
\(241\) | −289.969 | − | 210.675i | −1.20319 | − | 0.874169i | −0.208595 | − | 0.978002i | \(-0.566889\pi\) |
−0.994595 | + | 0.103833i | \(0.966889\pi\) | |||||||
\(242\) | −36.5408 | − | 26.5484i | −0.150995 | − | 0.109704i | ||||
\(243\) | 244.013 | + | 244.013i | 1.00417 | + | 1.00417i | ||||
\(244\) | −1.11520 | + | 3.43224i | −0.00457050 | + | 0.0140666i | ||||
\(245\) | −301.301 | + | 220.073i | −1.22980 | + | 0.898256i | ||||
\(246\) | −438.438 | + | 118.218i | −1.78227 | + | 0.480561i | ||||
\(247\) | −290.881 | −1.17765 | ||||||||
\(248\) | 26.4049 | − | 81.2659i | 0.106471 | − | 0.327685i | ||||
\(249\) | 452.833 | − | 452.833i | 1.81861 | − | 1.81861i | ||||
\(250\) | 88.6582 | − | 122.028i | 0.354633 | − | 0.488110i | ||||
\(251\) | 187.965 | + | 136.564i | 0.748864 | + | 0.544081i | 0.895474 | − | 0.445113i | \(-0.146836\pi\) |
−0.146611 | + | 0.989194i | \(0.546836\pi\) | |||||||
\(252\) | −164.978 | + | 0.208266i | −0.654674 | + | 0.000826451i | ||||
\(253\) | 284.789 | + | 145.107i | 1.12565 | + | 0.573546i | ||||
\(254\) | −265.777 | − | 365.811i | −1.04637 | − | 1.44020i | ||||
\(255\) | 237.213 | 0.930248 | ||||||||
\(256\) | −255.225 | + | 185.432i | −0.996974 | + | 0.724344i | ||||
\(257\) | −265.811 | − | 42.1004i | −1.03428 | − | 0.163815i | −0.383865 | − | 0.923389i | \(-0.625407\pi\) |
−0.650420 | + | 0.759575i | \(0.725407\pi\) | |||||||
\(258\) | −111.884 | − | 706.405i | −0.433657 | − | 2.73800i | ||||
\(259\) | −0.237353 | − | 188.020i | −0.000916422 | − | 0.725945i | ||||
\(260\) | 132.295 | + | 132.295i | 0.508827 | + | 0.508827i | ||||
\(261\) | −49.2389 | − | 310.882i | −0.188655 | − | 1.19112i | ||||
\(262\) | 382.735 | − | 124.358i | 1.46082 | − | 0.474650i | ||||
\(263\) | 269.866 | + | 42.7426i | 1.02611 | + | 0.162520i | 0.646728 | − | 0.762721i | \(-0.276137\pi\) |
0.379381 | + | 0.925241i | \(0.376137\pi\) | |||||||
\(264\) | −196.642 | − | 63.8928i | −0.744855 | − | 0.242018i | ||||
\(265\) | 76.3786 | + | 38.9169i | 0.288221 | + | 0.146856i | ||||
\(266\) | −68.8984 | + | 438.590i | −0.259017 | + | 1.64884i | ||||
\(267\) | 150.702 | − | 48.9662i | 0.564429 | − | 0.183394i | ||||
\(268\) | 21.9417 | − | 43.0631i | 0.0818722 | − | 0.160683i | ||||
\(269\) | −237.932 | − | 77.3088i | −0.884505 | − | 0.287393i | −0.168678 | − | 0.985671i | \(-0.553950\pi\) |
−0.715827 | + | 0.698278i | \(0.753950\pi\) | |||||||
\(270\) | 159.720 | + | 25.2972i | 0.591557 | + | 0.0936935i | ||||
\(271\) | 118.602 | − | 38.5361i | 0.437645 | − | 0.142200i | −0.0819036 | − | 0.996640i | \(-0.526100\pi\) |
0.519549 | + | 0.854441i | \(0.326100\pi\) | |||||||
\(272\) | −137.714 | + | 21.8117i | −0.506301 | + | 0.0801902i | ||||
\(273\) | 110.303 | + | 338.026i | 0.404041 | + | 1.23819i | ||||
\(274\) | −203.289 | − | 398.976i | −0.741929 | − | 1.45612i | ||||
\(275\) | −330.288 | + | 52.3124i | −1.20105 | + | 0.190227i | ||||
\(276\) | 299.977 | + | 47.5117i | 1.08687 | + | 0.172144i | ||||
\(277\) | −390.774 | + | 283.914i | −1.41074 | + | 1.02496i | −0.417521 | + | 0.908667i | \(0.637101\pi\) |
−0.993215 | + | 0.116292i | \(0.962899\pi\) | |||||||
\(278\) | 87.2628 | 0.313895 | ||||||||
\(279\) | 165.168 | − | 120.002i | 0.592000 | − | 0.430113i | ||||
\(280\) | −196.861 | + | 143.408i | −0.703074 | + | 0.512171i | ||||
\(281\) | −98.3003 | + | 50.0865i | −0.349823 | + | 0.178244i | −0.620069 | − | 0.784548i | \(-0.712895\pi\) |
0.270245 | + | 0.962792i | \(0.412895\pi\) | |||||||
\(282\) | 304.942 | − | 419.717i | 1.08135 | − | 1.48836i | ||||
\(283\) | −25.3102 | + | 34.8364i | −0.0894352 | + | 0.123097i | −0.851390 | − | 0.524533i | \(-0.824240\pi\) |
0.761955 | + | 0.647630i | \(0.224240\pi\) | |||||||
\(284\) | 45.6952 | − | 45.6952i | 0.160899 | − | 0.160899i | ||||
\(285\) | 268.382 | − | 825.995i | 0.941692 | − | 2.89823i | ||||
\(286\) | − | 286.385i | − | 1.00135i | ||||||
\(287\) | 261.856 | − | 117.476i | 0.912389 | − | 0.409324i | ||||
\(288\) | −341.648 | −1.18628 | ||||||||
\(289\) | 228.515 | + | 74.2491i | 0.790710 | + | 0.256917i | ||||
\(290\) | 385.240 | + | 385.240i | 1.32841 | + | 1.32841i | ||||
\(291\) | −345.404 | − | 250.951i | −1.18696 | − | 0.862373i | ||||
\(292\) | −170.395 | − | 123.799i | −0.583545 | − | 0.423970i | ||||
\(293\) | 67.4964 | + | 132.469i | 0.230363 | + | 0.452113i | 0.977035 | − | 0.213080i | \(-0.0683494\pi\) |
−0.746672 | + | 0.665193i | \(0.768349\pi\) | |||||||
\(294\) | 535.803 | − | 86.2501i | 1.82246 | − | 0.293368i | ||||
\(295\) | 309.443 | + | 425.912i | 1.04896 | + | 1.44377i | ||||
\(296\) | − | 122.733i | − | 0.414639i | ||||||
\(297\) | −50.9991 | − | 70.1942i | −0.171714 | − | 0.236344i | ||||
\(298\) | −23.5238 | + | 148.523i | −0.0789388 | + | 0.498400i | ||||
\(299\) | −56.1288 | − | 354.383i | −0.187722 | − | 1.18523i | ||||
\(300\) | −283.126 | + | 144.260i | −0.943752 | + | 0.480866i | ||||
\(301\) | 140.228 | + | 429.730i | 0.465873 | + | 1.42768i | ||||
\(302\) | 58.3969 | + | 368.704i | 0.193367 | + | 1.22087i | ||||
\(303\) | −41.0924 | − | 126.469i | −0.135618 | − | 0.417391i | ||||
\(304\) | −79.8587 | + | 504.208i | −0.262693 | + | 1.65858i | ||||
\(305\) | −3.93364 | + | 12.1065i | −0.0128972 | + | 0.0396935i | ||||
\(306\) | −168.510 | − | 85.8601i | −0.550686 | − | 0.280589i | ||||
\(307\) | 50.8716 | + | 156.567i | 0.165706 | + | 0.509990i | 0.999088 | − | 0.0427079i | \(-0.0135985\pi\) |
−0.833382 | + | 0.552698i | \(0.813598\pi\) | |||||||
\(308\) | −151.358 | − | 23.7770i | −0.491423 | − | 0.0771980i | ||||
\(309\) | 15.3228 | − | 30.0727i | 0.0495884 | − | 0.0973228i | ||||
\(310\) | −109.200 | + | 336.082i | −0.352257 | + | 1.08414i | ||||
\(311\) | 86.9743 | − | 549.134i | 0.279660 | − | 1.76570i | −0.303001 | − | 0.952990i | \(-0.597989\pi\) |
0.582662 | − | 0.812715i | \(-0.302011\pi\) | |||||||
\(312\) | 71.7237 | + | 220.743i | 0.229884 | + | 0.707509i | ||||
\(313\) | 196.454 | − | 31.1153i | 0.627649 | − | 0.0994098i | 0.165496 | − | 0.986210i | \(-0.447077\pi\) |
0.462152 | + | 0.886801i | \(0.347077\pi\) | |||||||
\(314\) | 407.415 | − | 407.415i | 1.29750 | − | 1.29750i | ||||
\(315\) | −581.924 | + | 0.734613i | −1.84738 | + | 0.00233210i | ||||
\(316\) | −271.331 | + | 42.9745i | −0.858641 | + | 0.135995i | ||||
\(317\) | −69.3660 | + | 437.960i | −0.218820 | + | 1.38158i | 0.596522 | + | 0.802597i | \(0.296549\pi\) |
−0.815342 | + | 0.578980i | \(0.803451\pi\) | |||||||
\(318\) | −73.2871 | − | 100.871i | −0.230462 | − | 0.317204i | ||||
\(319\) | − | 292.314i | − | 0.916345i | ||||||
\(320\) | −13.7872 | + | 10.0170i | −0.0430849 | + | 0.0313030i | ||||
\(321\) | −133.430 | + | 261.872i | −0.415671 | + | 0.815800i | ||||
\(322\) | −547.634 | + | 0.691325i | −1.70073 | + | 0.00214697i | ||||
\(323\) | −104.858 | + | 144.325i | −0.324638 | + | 0.446826i | ||||
\(324\) | 104.904 | + | 76.2171i | 0.323777 | + | 0.235238i | ||||
\(325\) | 265.441 | + | 265.441i | 0.816742 | + | 0.816742i | ||||
\(326\) | 214.955 | + | 69.8431i | 0.659371 | + | 0.214243i | ||||
\(327\) | − | 539.665i | − | 1.65035i | ||||||
\(328\) | 171.027 | − | 76.4686i | 0.521425 | − | 0.233136i | ||||
\(329\) | −148.492 | + | 292.343i | −0.451342 | + | 0.888580i | ||||
\(330\) | 813.229 | + | 264.234i | 2.46433 | + | 0.800710i | ||||
\(331\) | −391.913 | + | 391.913i | −1.18403 | + | 1.18403i | −0.205334 | + | 0.978692i | \(0.565828\pi\) |
−0.978692 | + | 0.205334i | \(0.934172\pi\) | |||||||
\(332\) | 182.079 | − | 250.610i | 0.548431 | − | 0.754850i | ||||
\(333\) | 172.364 | − | 237.239i | 0.517610 | − | 0.712428i | ||||
\(334\) | −85.7657 | − | 168.325i | −0.256784 | − | 0.503966i | ||||
\(335\) | 77.3949 | − | 151.896i | 0.231029 | − | 0.453421i | ||||
\(336\) | 616.212 | − | 98.3960i | 1.83396 | − | 0.292845i | ||||
\(337\) | 162.904i | 0.483396i | 0.970352 | + | 0.241698i | \(0.0777043\pi\) | ||||
−0.970352 | + | 0.241698i | \(0.922296\pi\) | |||||||
\(338\) | 79.2186 | − | 57.5557i | 0.234375 | − | 0.170283i | ||||
\(339\) | 974.874 | + | 154.405i | 2.87573 | + | 0.455471i | ||||
\(340\) | 113.331 | − | 17.9498i | 0.333325 | − | 0.0527935i | ||||
\(341\) | 168.936 | − | 86.0774i | 0.495415 | − | 0.252426i | ||||
\(342\) | −489.623 | + | 489.623i | −1.43165 | + | 1.43165i | ||||
\(343\) | −325.809 | + | 107.227i | −0.949879 | + | 0.312617i | ||||
\(344\) | 91.1819 | + | 280.629i | 0.265064 | + | 0.815782i | ||||
\(345\) | 1058.11 | + | 167.588i | 3.06697 | + | 0.485761i | ||||
\(346\) | 165.517 | + | 53.7797i | 0.478373 | + | 0.155433i | ||||
\(347\) | 117.376 | − | 230.363i | 0.338259 | − | 0.663871i | −0.657739 | − | 0.753246i | \(-0.728487\pi\) |
0.995998 | + | 0.0893748i | \(0.0284869\pi\) | |||||||
\(348\) | −85.8338 | − | 264.169i | −0.246649 | − | 0.759107i | ||||
\(349\) | 21.0207 | + | 64.6951i | 0.0602312 | + | 0.185373i | 0.976645 | − | 0.214860i | \(-0.0689294\pi\) |
−0.916414 | + | 0.400232i | \(0.868929\pi\) | |||||||
\(350\) | 463.105 | − | 337.360i | 1.32316 | − | 0.963884i | ||||
\(351\) | −30.0980 | + | 92.6320i | −0.0857492 | + | 0.263909i | ||||
\(352\) | −313.381 | − | 49.6347i | −0.890288 | − | 0.141008i | ||||
\(353\) | −441.694 | + | 143.515i | −1.25126 | + | 0.406558i | −0.858372 | − | 0.513028i | \(-0.828524\pi\) |
−0.392887 | + | 0.919587i | \(0.628524\pi\) | |||||||
\(354\) | −119.788 | − | 756.310i | −0.338384 | − | 2.13647i | ||||
\(355\) | 161.180 | − | 161.180i | 0.454028 | − | 0.454028i | ||||
\(356\) | 68.2941 | − | 34.7976i | 0.191837 | − | 0.0977460i | ||||
\(357\) | 207.479 | + | 67.1247i | 0.581174 | + | 0.188024i | ||||
\(358\) | 68.2033 | − | 430.618i | 0.190512 | − | 1.20284i | ||||
\(359\) | −115.706 | + | 84.0650i | −0.322300 | + | 0.234164i | −0.737156 | − | 0.675722i | \(-0.763832\pi\) |
0.414856 | + | 0.909887i | \(0.363832\pi\) | |||||||
\(360\) | −379.861 | −1.05517 | ||||||||
\(361\) | 171.724 | + | 236.357i | 0.475689 | + | 0.654730i | ||||
\(362\) | −323.292 | + | 634.496i | −0.893072 | + | 1.75275i | ||||
\(363\) | 36.8754 | + | 72.3721i | 0.101585 | + | 0.199372i | ||||
\(364\) | 78.2765 | + | 153.148i | 0.215045 | + | 0.420737i | ||||
\(365\) | −601.033 | − | 436.676i | −1.64666 | − | 1.19637i | ||||
\(366\) | 13.0923 | − | 13.0923i | 0.0357712 | − | 0.0357712i | ||||
\(367\) | 139.240 | − | 428.536i | 0.379400 | − | 1.16767i | −0.561063 | − | 0.827773i | \(-0.689607\pi\) |
0.940462 | − | 0.339898i | \(-0.110393\pi\) | |||||||
\(368\) | −629.692 | −1.71112 | ||||||||
\(369\) | 437.981 | + | 92.3764i | 1.18694 | + | 0.250342i | ||||
\(370\) | 507.573i | 1.37182i | ||||||||
\(371\) | 55.7924 | + | 55.6517i | 0.150384 | + | 0.150005i | ||||
\(372\) | 127.395 | − | 127.395i | 0.342461 | − | 0.342461i | ||||
\(373\) | 89.6168 | + | 65.1104i | 0.240259 | + | 0.174559i | 0.701399 | − | 0.712769i | \(-0.252559\pi\) |
−0.461139 | + | 0.887328i | \(0.652559\pi\) | |||||||
\(374\) | −142.094 | − | 103.237i | −0.379931 | − | 0.276036i | ||||
\(375\) | −241.686 | + | 123.145i | −0.644496 | + | 0.328387i | ||||
\(376\) | −97.1712 | + | 190.709i | −0.258434 | + | 0.507205i | ||||
\(377\) | −265.472 | + | 192.876i | −0.704169 | + | 0.511609i | ||||
\(378\) | 132.542 | + | 67.3227i | 0.350639 | + | 0.178102i | ||||
\(379\) | 85.1778 | − | 61.8853i | 0.224744 | − | 0.163286i | −0.469716 | − | 0.882818i | \(-0.655644\pi\) |
0.694459 | + | 0.719532i | \(0.255644\pi\) | |||||||
\(380\) | 65.7191 | − | 414.934i | 0.172945 | − | 1.09193i | ||||
\(381\) | 127.204 | + | 803.137i | 0.333870 | + | 2.10797i | ||||
\(382\) | −307.789 | − | 604.071i | −0.805731 | − | 1.58134i | ||||
\(383\) | 431.040 | − | 431.040i | 1.12543 | − | 1.12543i | 0.134519 | − | 0.990911i | \(-0.457051\pi\) |
0.990911 | − | 0.134519i | \(-0.0429491\pi\) | |||||||
\(384\) | 576.247 | − | 91.2686i | 1.50064 | − | 0.237679i | ||||
\(385\) | −533.884 | − | 83.8682i | −1.38671 | − | 0.217840i | ||||
\(386\) | 238.236 | + | 37.7329i | 0.617193 | + | 0.0977538i | ||||
\(387\) | −217.859 | + | 670.500i | −0.562942 | + | 1.73256i | ||||
\(388\) | −184.009 | − | 93.7572i | −0.474250 | − | 0.241642i | ||||
\(389\) | −25.5601 | + | 8.30498i | −0.0657072 | + | 0.0213496i | −0.341686 | − | 0.939814i | \(-0.610998\pi\) |
0.275979 | + | 0.961164i | \(0.410998\pi\) | |||||||
\(390\) | −296.620 | − | 912.901i | −0.760563 | − | 2.34077i | ||||
\(391\) | −196.066 | − | 99.9006i | −0.501447 | − | 0.255500i | ||||
\(392\) | −212.765 | + | 69.7260i | −0.542768 | + | 0.177872i | ||||
\(393\) | −714.797 | − | 113.213i | −1.81882 | − | 0.288073i | ||||
\(394\) | −91.8307 | − | 282.626i | −0.233073 | − | 0.717324i | ||||
\(395\) | −957.061 | + | 151.584i | −2.42294 | + | 0.383756i | ||||
\(396\) | −168.970 | − | 168.970i | −0.426691 | − | 0.426691i | ||||
\(397\) | 90.2967 | − | 46.0085i | 0.227448 | − | 0.115890i | −0.336554 | − | 0.941664i | \(-0.609261\pi\) |
0.564001 | + | 0.825774i | \(0.309261\pi\) | |||||||
\(398\) | −28.6908 | − | 181.147i | −0.0720875 | − | 0.455143i | ||||
\(399\) | 468.475 | − | 646.515i | 1.17412 | − | 1.62034i | ||||
\(400\) | 532.986 | − | 387.237i | 1.33247 | − | 0.968092i | ||||
\(401\) | 691.774i | 1.72512i | 0.505953 | + | 0.862561i | \(0.331141\pi\) | ||||
−0.505953 | + | 0.862561i | \(0.668859\pi\) | |||||||
\(402\) | −200.604 | + | 145.748i | −0.499016 | + | 0.362556i | ||||
\(403\) | −189.642 | − | 96.6273i | −0.470575 | − | 0.239770i | ||||
\(404\) | −29.2021 | − | 57.3123i | −0.0722824 | − | 0.141862i | ||||
\(405\) | 370.026 | + | 268.840i | 0.913645 | + | 0.663802i | ||||
\(406\) | 227.939 | + | 445.964i | 0.561427 | + | 1.09843i | ||||
\(407\) | 192.569 | − | 192.569i | 0.473143 | − | 0.473143i | ||||
\(408\) | 135.380 | + | 43.9877i | 0.331814 | + | 0.107813i | ||||
\(409\) | − | 678.008i | − | 1.65772i | −0.559455 | − | 0.828860i | \(-0.688990\pi\) | ||
0.559455 | − | 0.828860i | \(-0.311010\pi\) | |||||||
\(410\) | −707.298 | + | 316.243i | −1.72512 | + | 0.771323i | ||||
\(411\) | 805.261i | 1.95927i | ||||||||
\(412\) | 5.04502 | − | 15.5270i | 0.0122452 | − | 0.0376868i | ||||
\(413\) | 150.134 | + | 460.089i | 0.363522 | + | 1.11402i | ||||
\(414\) | −690.991 | − | 502.035i | −1.66906 | − | 1.21264i | ||||
\(415\) | 642.245 | − | 883.975i | 1.54758 | − | 2.13006i | ||||
\(416\) | 161.700 | + | 317.355i | 0.388703 | + | 0.762872i | ||||
\(417\) | −139.824 | − | 71.2437i | −0.335308 | − | 0.170848i | ||||
\(418\) | −520.246 | + | 377.981i | −1.24461 | + | 0.904260i | ||||
\(419\) | 120.348 | 0.287227 | 0.143613 | − | 0.989634i | \(-0.454128\pi\) | ||||
0.143613 | + | 0.989634i | \(0.454128\pi\) | |||||||
\(420\) | −507.107 | + | 80.9742i | −1.20740 | + | 0.192796i | ||||
\(421\) | 89.0342 | − | 562.140i | 0.211483 | − | 1.33525i | −0.622137 | − | 0.782909i | \(-0.713735\pi\) |
0.833619 | − | 0.552340i | \(-0.186265\pi\) | |||||||
\(422\) | −773.406 | + | 122.495i | −1.83272 | + | 0.290274i | ||||
\(423\) | −455.657 | + | 232.169i | −1.07720 | + | 0.548862i | ||||
\(424\) | 36.3736 | + | 36.3736i | 0.0857867 | + | 0.0857867i | ||||
\(425\) | 227.390 | − | 36.0150i | 0.535035 | − | 0.0847412i | ||||
\(426\) | −315.319 | + | 102.453i | −0.740186 | + | 0.240501i | ||||
\(427\) | −6.86637 | + | 9.47588i | −0.0160805 | + | 0.0221918i | ||||
\(428\) | −43.9317 | + | 135.208i | −0.102644 | + | 0.315907i | ||||
\(429\) | −233.812 | + | 458.883i | −0.545017 | + | 1.06966i | ||||
\(430\) | −377.090 | − | 1160.56i | −0.876954 | − | 2.69899i | ||||
\(431\) | 578.214 | − | 187.873i | 1.34156 | − | 0.435900i | 0.451717 | − | 0.892161i | \(-0.350812\pi\) |
0.889846 | + | 0.456261i | \(0.150812\pi\) | |||||||
\(432\) | 152.304 | + | 77.6026i | 0.352555 | + | 0.179636i | ||||
\(433\) | 162.242 | + | 52.7157i | 0.374693 | + | 0.121745i | 0.490309 | − | 0.871549i | \(-0.336884\pi\) |
−0.115615 | + | 0.993294i | \(0.536884\pi\) | |||||||
\(434\) | −190.614 | + | 263.055i | −0.439202 | + | 0.606117i | ||||
\(435\) | −302.760 | − | 931.801i | −0.696001 | − | 2.14207i | ||||
\(436\) | −40.8361 | − | 257.829i | −0.0936609 | − | 0.591351i | ||||
\(437\) | −569.690 | + | 569.690i | −1.30364 | + | 1.30364i | ||||
\(438\) | 490.574 | + | 962.806i | 1.12003 | + | 2.19819i | ||||
\(439\) | 50.4651 | + | 318.624i | 0.114955 | + | 0.725796i | 0.976081 | + | 0.217405i | \(0.0697593\pi\) |
−0.861127 | + | 0.508390i | \(0.830241\pi\) | |||||||
\(440\) | −348.433 | − | 55.1863i | −0.791892 | − | 0.125423i | ||||
\(441\) | −509.190 | − | 164.026i | −1.15462 | − | 0.371940i | ||||
\(442\) | 197.165i | 0.446074i | ||||||||
\(443\) | 256.542 | + | 353.099i | 0.579101 | + | 0.797064i | 0.993596 | − | 0.112988i | \(-0.0360420\pi\) |
−0.414496 | + | 0.910051i | \(0.636042\pi\) | |||||||
\(444\) | 117.483 | − | 230.573i | 0.264601 | − | 0.519309i | ||||
\(445\) | 240.893 | − | 122.741i | 0.541332 | − | 0.275823i | ||||
\(446\) | −229.202 | − | 166.525i | −0.513907 | − | 0.373375i | ||||
\(447\) | 158.951 | − | 218.777i | 0.355595 | − | 0.489435i | ||||
\(448\) | −14.8935 | + | 4.85998i | −0.0332444 | + | 0.0108482i | ||||
\(449\) | 102.318 | + | 33.2452i | 0.227880 | + | 0.0740427i | 0.420731 | − | 0.907185i | \(-0.361774\pi\) |
−0.192851 | + | 0.981228i | \(0.561774\pi\) | |||||||
\(450\) | 893.604 | 1.98579 | ||||||||
\(451\) | 388.323 | + | 148.363i | 0.861027 | + | 0.328965i | ||||
\(452\) | 477.438 | 1.05628 | ||||||||
\(453\) | 207.448 | − | 638.461i | 0.457944 | − | 1.40941i | ||||
\(454\) | 231.819 | + | 231.819i | 0.510614 | + | 0.510614i | ||||
\(455\) | 276.104 | + | 540.197i | 0.606822 | + | 1.18725i | ||||
\(456\) | 306.337 | − | 421.637i | 0.671792 | − | 0.924642i | ||||
\(457\) | 124.407 | − | 63.3885i | 0.272225 | − | 0.138706i | −0.312549 | − | 0.949901i | \(-0.601183\pi\) |
0.584774 | + | 0.811196i | \(0.301183\pi\) | |||||||
\(458\) | −75.4321 | + | 148.044i | −0.164699 | + | 0.323240i | ||||
\(459\) | 35.1109 | + | 48.3260i | 0.0764943 | + | 0.105285i | ||||
\(460\) | 518.200 | 1.12652 | ||||||||
\(461\) | −431.034 | − | 593.268i | −0.934998 | − | 1.28691i | −0.957878 | − | 0.287177i | \(-0.907283\pi\) |
0.0228792 | − | 0.999738i | \(-0.492717\pi\) | |||||||
\(462\) | 636.523 | + | 461.234i | 1.37775 | + | 0.998342i | ||||
\(463\) | 308.273 | − | 48.8257i | 0.665817 | − | 0.105455i | 0.185628 | − | 0.982620i | \(-0.440568\pi\) |
0.480189 | + | 0.877165i | \(0.340568\pi\) | |||||||
\(464\) | 261.446 | + | 513.117i | 0.563462 | + | 1.10586i | ||||
\(465\) | 449.360 | − | 449.360i | 0.966366 | − | 0.966366i | ||||
\(466\) | 163.914 | + | 1034.91i | 0.351747 | + | 2.22084i | ||||
\(467\) | −224.039 | + | 72.7947i | −0.479741 | + | 0.155877i | −0.538897 | − | 0.842371i | \(-0.681159\pi\) |
0.0591565 | + | 0.998249i | \(0.481159\pi\) | |||||||
\(468\) | −41.9631 | + | 264.944i | −0.0896647 | + | 0.566120i | ||||
\(469\) | 110.676 | − | 110.956i | 0.235983 | − | 0.236579i | ||||
\(470\) | 401.860 | − | 788.694i | 0.855021 | − | 1.67807i | ||||
\(471\) | −985.437 | + | 320.188i | −2.09222 | + | 0.679804i | ||||
\(472\) | 97.6235 | + | 300.454i | 0.206830 | + | 0.636556i | ||||
\(473\) | −297.244 | + | 583.374i | −0.628423 | + | 1.23335i | ||||
\(474\) | 1340.43 | + | 435.532i | 2.82791 | + | 0.918843i | ||||
\(475\) | 131.861 | − | 832.537i | 0.277602 | − | 1.75271i | ||||
\(476\) | 104.204 | + | 16.3695i | 0.218916 | + | 0.0343897i | ||||
\(477\) | 19.2265 | + | 121.391i | 0.0403071 | + | 0.254489i | ||||
\(478\) | 468.191 | + | 468.191i | 0.979480 | + | 0.979480i | ||||
\(479\) | 96.8976 | − | 49.3718i | 0.202291 | − | 0.103073i | −0.349910 | − | 0.936783i | \(-0.613788\pi\) |
0.552202 | + | 0.833711i | \(0.313788\pi\) | |||||||
\(480\) | −1050.36 | + | 166.361i | −2.18826 | + | 0.346586i | ||||
\(481\) | −301.948 | − | 47.8239i | −0.627751 | − | 0.0994260i | ||||
\(482\) | 522.828 | + | 719.611i | 1.08471 | + | 1.49297i | ||||
\(483\) | 878.053 | + | 445.995i | 1.81792 | + | 0.923385i | ||||
\(484\) | 23.0939 | + | 31.7860i | 0.0477147 | + | 0.0656736i | ||||
\(485\) | −649.052 | − | 330.709i | −1.33825 | − | 0.681873i | ||||
\(486\) | −388.795 | − | 763.054i | −0.799990 | − | 1.57007i | ||||
\(487\) | 399.557 | − | 549.943i | 0.820446 | − | 1.12925i | −0.169181 | − | 0.985585i | \(-0.554112\pi\) |
0.989627 | − | 0.143662i | \(-0.0458877\pi\) | |||||||
\(488\) | −4.48994 | + | 6.17988i | −0.00920070 | + | 0.0126637i | ||||
\(489\) | −287.406 | − | 287.406i | −0.587743 | − | 0.587743i | ||||
\(490\) | 879.909 | − | 288.358i | 1.79573 | − | 0.588485i | ||||
\(491\) | 781.613 | 1.59188 | 0.795939 | − | 0.605376i | \(-0.206977\pi\) | ||||
0.795939 | + | 0.605376i | \(0.206977\pi\) | |||||||
\(492\) | 394.499 | + | 20.0531i | 0.801827 | + | 0.0407582i | ||||
\(493\) | 201.247i | 0.408208i | ||||||||
\(494\) | 686.543 | + | 223.071i | 1.38976 | + | 0.451562i | ||||
\(495\) | −596.005 | − | 596.005i | −1.20405 | − | 1.20405i | ||||
\(496\) | −219.557 | + | 302.194i | −0.442655 | + | 0.609262i | ||||
\(497\) | 186.586 | − | 95.3672i | 0.375425 | − | 0.191886i | ||||
\(498\) | −1416.06 | + | 721.517i | −2.84349 | + | 1.44883i | ||||
\(499\) | −544.694 | − | 277.536i | −1.09157 | − | 0.556184i | −0.186937 | − | 0.982372i | \(-0.559856\pi\) |
−0.904635 | + | 0.426188i | \(0.859856\pi\) | |||||||
\(500\) | −106.149 | + | 77.1218i | −0.212298 | + | 0.154244i | ||||
\(501\) | 339.733i | 0.678109i | ||||||||
\(502\) | −338.910 | − | 466.470i | −0.675119 | − | 0.929222i | ||||
\(503\) | −393.357 | − | 62.3016i | −0.782021 | − | 0.123860i | −0.247357 | − | 0.968924i | \(-0.579562\pi\) |
−0.534664 | + | 0.845065i | \(0.679562\pi\) | |||||||
\(504\) | −332.247 | − | 107.490i | −0.659219 | − | 0.213274i | ||||
\(505\) | −103.004 | − | 202.157i | −0.203969 | − | 0.400311i | ||||
\(506\) | −560.885 | − | 560.885i | −1.10847 | − | 1.10847i | ||||
\(507\) | −173.924 | + | 27.5469i | −0.343046 | + | 0.0543331i | ||||
\(508\) | 121.546 | + | 374.080i | 0.239264 | + | 0.736378i | ||||
\(509\) | −20.8100 | + | 131.389i | −0.0408840 | + | 0.258132i | −0.999661 | − | 0.0260273i | \(-0.991714\pi\) |
0.958777 | + | 0.284159i | \(0.0917143\pi\) | |||||||
\(510\) | −559.876 | − | 181.915i | −1.09780 | − | 0.356696i | ||||
\(511\) | −402.128 | − | 552.015i | −0.786943 | − | 1.08026i | ||||
\(512\) | 247.271 | − | 80.3433i | 0.482952 | − | 0.156921i | ||||
\(513\) | 207.999 | − | 67.5830i | 0.405456 | − | 0.131741i | ||||
\(514\) | 595.088 | + | 303.212i | 1.15776 | + | 0.589907i | ||||
\(515\) | 17.7952 | − | 54.7681i | 0.0345539 | − | 0.106346i | ||||
\(516\) | −97.3251 | + | 614.487i | −0.188615 | + | 1.19087i | ||||
\(517\) | −451.687 | + | 146.762i | −0.873669 | + | 0.283872i | ||||
\(518\) | −143.629 | + | 443.950i | −0.277276 | + | 0.857047i | ||||
\(519\) | −221.305 | − | 221.305i | −0.426407 | − | 0.426407i | ||||
\(520\) | 179.786 | + | 352.850i | 0.345743 | + | 0.678558i | ||||
\(521\) | −10.5750 | − | 66.7681i | −0.0202976 | − | 0.128154i | 0.975459 | − | 0.220182i | \(-0.0706651\pi\) |
−0.995756 | + | 0.0920280i | \(0.970665\pi\) | |||||||
\(522\) | −122.195 | + | 771.512i | −0.234091 | + | 1.47799i | ||||
\(523\) | 224.470 | + | 308.957i | 0.429197 | + | 0.590739i | 0.967769 | − | 0.251840i | \(-0.0810358\pi\) |
−0.538572 | + | 0.842580i | \(0.681036\pi\) | |||||||
\(524\) | −350.067 | −0.668066 | ||||||||
\(525\) | −1017.48 | + | 162.469i | −1.93805 | + | 0.309465i | ||||
\(526\) | −604.167 | − | 307.838i | −1.14861 | − | 0.585244i | ||||
\(527\) | −116.306 | + | 59.2609i | −0.220695 | + | 0.112450i | ||||
\(528\) | 731.229 | + | 531.269i | 1.38490 | + | 1.00619i | ||||
\(529\) | −376.017 | − | 273.193i | −0.710808 | − | 0.516432i | ||||
\(530\) | −150.426 | − | 150.426i | −0.283823 | − | 0.283823i | ||||
\(531\) | −233.250 | + | 717.868i | −0.439265 | + | 1.35192i | ||||
\(532\) | 174.896 | − | 344.327i | 0.328752 | − | 0.647231i | ||||
\(533\) | −121.486 | − | 450.559i | −0.227929 | − | 0.845326i | ||||
\(534\) | −393.243 | −0.736410 | ||||||||
\(535\) | −154.960 | + | 476.918i | −0.289645 | + | 0.891435i | ||||
\(536\) | 72.3369 | − | 72.3369i | 0.134957 | − | 0.134957i | ||||
\(537\) | −460.852 | + | 634.309i | −0.858198 | + | 1.18121i | ||||
\(538\) | 502.286 | + | 364.932i | 0.933617 | + | 0.678312i | ||||
\(539\) | −443.231 | − | 224.430i | −0.822321 | − | 0.416382i | ||||
\(540\) | −125.337 | − | 63.8625i | −0.232106 | − | 0.118264i | ||||
\(541\) | 76.6696 | + | 105.527i | 0.141718 | + | 0.195059i | 0.873976 | − | 0.485969i | \(-0.161533\pi\) |
−0.732258 | + | 0.681028i | \(0.761533\pi\) | |||||||
\(542\) | −309.480 | −0.570996 | ||||||||
\(543\) | 1036.04 | − | 752.727i | 1.90799 | − | 1.38624i | ||||
\(544\) | 215.751 | + | 34.1716i | 0.396601 | + | 0.0628154i | ||||
\(545\) | −144.041 | − | 909.438i | −0.264295 | − | 1.66869i | ||||
\(546\) | −1.11394 | − | 882.407i | −0.00204018 | − | 1.61613i | ||||
\(547\) | −675.676 | − | 675.676i | −1.23524 | − | 1.23524i | −0.961924 | − | 0.273315i | \(-0.911880\pi\) |
−0.273315 | − | 0.961924i | \(-0.588120\pi\) | |||||||
\(548\) | 60.9337 | + | 384.720i | 0.111193 | + | 0.702044i | ||||
\(549\) | −17.3578 | + | 5.63989i | −0.0316171 | + | 0.0102730i | ||||
\(550\) | 819.670 | + | 129.823i | 1.49031 | + | 0.236042i | ||||
\(551\) | 700.757 | + | 227.690i | 1.27179 | + | 0.413230i | ||||
\(552\) | 572.796 | + | 291.854i | 1.03767 | + | 0.528721i | ||||
\(553\) | −879.990 | − | 138.238i | −1.59130 | − | 0.249979i | ||||
\(554\) | 1140.04 | − | 370.422i | 2.05784 | − | 0.668632i | ||||
\(555\) | 414.396 | − | 813.298i | 0.746660 | − | 1.46540i | ||||
\(556\) | −72.1928 | − | 23.4569i | −0.129843 | − | 0.0421886i | ||||
\(557\) | −274.350 | − | 43.4528i | −0.492550 | − | 0.0780123i | −0.0947816 | − | 0.995498i | \(-0.530215\pi\) |
−0.397768 | + | 0.917486i | \(0.630215\pi\) | |||||||
\(558\) | −481.861 | + | 156.566i | −0.863550 | + | 0.280584i | ||||
\(559\) | 725.934 | − | 114.977i | 1.29863 | − | 0.205683i | ||||
\(560\) | 1012.17 | − | 330.288i | 1.80745 | − | 0.589800i | ||||
\(561\) | 143.396 | + | 281.430i | 0.255607 | + | 0.501657i | ||||
\(562\) | 270.421 | − | 42.8305i | 0.481177 | − | 0.0762109i | ||||
\(563\) | −842.724 | − | 133.474i | −1.49685 | − | 0.237077i | −0.646343 | − | 0.763047i | \(-0.723702\pi\) |
−0.850503 | + | 0.525970i | \(0.823702\pi\) | |||||||
\(564\) | −365.103 | + | 265.263i | −0.647345 | + | 0.470324i | ||||
\(565\) | 1684.06 | 2.98064 | ||||||||
\(566\) | 86.4531 | − | 62.8119i | 0.152744 | − | 0.110975i | ||||
\(567\) | 247.571 | + | 339.849i | 0.436632 | + | 0.599380i | ||||
\(568\) | 121.876 | − | 62.0988i | 0.214570 | − | 0.109329i | ||||
\(569\) | −17.5285 | + | 24.1259i | −0.0308058 | + | 0.0424005i | −0.824142 | − | 0.566383i | \(-0.808342\pi\) |
0.793336 | + | 0.608784i | \(0.208342\pi\) | |||||||
\(570\) | −1266.88 | + | 1743.72i | −2.22260 | + | 3.05915i | ||||
\(571\) | −298.413 | + | 298.413i | −0.522614 | + | 0.522614i | −0.918360 | − | 0.395746i | \(-0.870486\pi\) |
0.395746 | + | 0.918360i | \(0.370486\pi\) | |||||||
\(572\) | −76.9824 | + | 236.927i | −0.134585 | + | 0.414209i | ||||
\(573\) | 1219.21i | 2.12776i | ||||||||
\(574\) | −708.128 | + | 76.4571i | −1.23367 | + | 0.133201i | ||||
\(575\) | 1039.73 | 1.80823 | ||||||||
\(576\) | −23.2380 | − | 7.55049i | −0.0403438 | − | 0.0131085i | ||||
\(577\) | 268.506 | + | 268.506i | 0.465349 | + | 0.465349i | 0.900404 | − | 0.435055i | \(-0.143271\pi\) |
−0.435055 | + | 0.900404i | \(0.643271\pi\) | |||||||
\(578\) | −482.407 | − | 350.489i | −0.834613 | − | 0.606382i | ||||
\(579\) | −350.927 | − | 254.963i | −0.606091 | − | 0.440351i | ||||
\(580\) | −215.155 | − | 422.266i | −0.370957 | − | 0.728044i | ||||
\(581\) | 811.882 | − | 591.434i | 1.39739 | − | 1.01796i | ||||
\(582\) | 622.781 | + | 857.184i | 1.07007 | + | 1.47282i | ||||
\(583\) | 114.141i | 0.195782i | ||||||||
\(584\) | −262.041 | − | 360.668i | −0.448700 | − | 0.617582i | ||||
\(585\) | −148.016 | + | 934.535i | −0.253019 | + | 1.59750i | ||||
\(586\) | −57.7183 | − | 364.419i | −0.0984953 | − | 0.621875i | ||||
\(587\) | −60.5004 | + | 30.8265i | −0.103067 | + | 0.0525154i | −0.504764 | − | 0.863257i | \(-0.668421\pi\) |
0.401697 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(588\) | −466.456 | − | 72.6726i | −0.793293 | − | 0.123593i | ||||
\(589\) | 74.7629 | + | 472.035i | 0.126932 | + | 0.801417i | ||||
\(590\) | −403.730 | − | 1242.55i | −0.684289 | − | 2.10602i | ||||
\(591\) | −83.6004 | + | 527.832i | −0.141456 | + | 0.893117i | ||||
\(592\) | −165.795 | + | 510.263i | −0.280058 | + | 0.861931i | ||||
\(593\) | −743.457 | − | 378.810i | −1.25372 | − | 0.638803i | −0.304231 | − | 0.952598i | \(-0.598399\pi\) |
−0.949491 | + | 0.313796i | \(0.898399\pi\) | |||||||
\(594\) | 66.5385 | + | 204.784i | 0.112018 | + | 0.344755i | ||||
\(595\) | 367.558 | + | 57.7400i | 0.617745 | + | 0.0970420i | ||||
\(596\) | 59.3854 | − | 116.550i | 0.0996400 | − | 0.195554i | ||||
\(597\) | −101.921 | + | 313.681i | −0.170722 | + | 0.525428i | ||||
\(598\) | −139.294 | + | 879.467i | −0.232933 | + | 1.47068i | ||||
\(599\) | 264.462 | + | 813.930i | 0.441506 | + | 1.35882i | 0.886271 | + | 0.463168i | \(0.153287\pi\) |
−0.444765 | + | 0.895647i | \(0.646713\pi\) | |||||||
\(600\) | −664.307 | + | 105.216i | −1.10718 | + | 0.175360i | ||||
\(601\) | −203.516 | + | 203.516i | −0.338629 | + | 0.338629i | −0.855851 | − | 0.517222i | \(-0.826966\pi\) |
0.517222 | + | 0.855851i | \(0.326966\pi\) | |||||||
\(602\) | −1.41614 | − | 1121.80i | −0.00235239 | − | 1.86345i | ||||
\(603\) | 241.413 | − | 38.2361i | 0.400354 | − | 0.0634098i | ||||
\(604\) | 50.7982 | − | 320.727i | 0.0841030 | − | 0.531005i | ||||
\(605\) | 81.4588 | + | 112.118i | 0.134643 | + | 0.185320i | ||||
\(606\) | 330.009i | 0.544569i | ||||||||
\(607\) | 612.619 | − | 445.094i | 1.00926 | − | 0.733268i | 0.0452038 | − | 0.998978i | \(-0.485606\pi\) |
0.964053 | + | 0.265710i | \(0.0856063\pi\) | |||||||
\(608\) | 363.088 | − | 712.599i | 0.597183 | − | 1.17204i | ||||
\(609\) | −1.13700 | − | 900.675i | −0.00186699 | − | 1.47894i | ||||
\(610\) | 18.5685 | − | 25.5574i | 0.0304402 | − | 0.0418974i | ||||
\(611\) | 431.320 | + | 313.372i | 0.705925 | + | 0.512884i | ||||
\(612\) | 116.329 | + | 116.329i | 0.190080 | + | 0.190080i | ||||
\(613\) | −328.378 | − | 106.696i | −0.535690 | − | 0.174056i | 0.0286641 | − | 0.999589i | \(-0.490875\pi\) |
−0.564354 | + | 0.825533i | \(0.690875\pi\) | |||||||
\(614\) | − | 408.545i | − | 0.665383i | ||||||
\(615\) | 1391.51 | + | 70.7329i | 2.26262 | + | 0.115013i | ||||
\(616\) | −289.141 | − | 146.865i | −0.469385 | − | 0.238418i | ||||
\(617\) | 76.2052 | + | 24.7606i | 0.123509 | + | 0.0401306i | 0.370119 | − | 0.928984i | \(-0.379317\pi\) |
−0.246610 | + | 0.969115i | \(0.579317\pi\) | |||||||
\(618\) | −59.2276 | + | 59.2276i | −0.0958375 | + | 0.0958375i | ||||
\(619\) | 9.12934 | − | 12.5655i | 0.0147485 | − | 0.0202996i | −0.801579 | − | 0.597889i | \(-0.796006\pi\) |
0.816328 | + | 0.577589i | \(0.196006\pi\) | |||||||
\(620\) | 180.683 | − | 248.688i | 0.291424 | − | 0.401110i | ||||
\(621\) | 122.473 | + | 240.367i | 0.197219 | + | 0.387064i | ||||
\(622\) | −626.401 | + | 1229.38i | −1.00707 | + | 1.97650i | ||||
\(623\) | 245.430 | − | 39.1899i | 0.393949 | − | 0.0629052i | ||||
\(624\) | − | 1014.63i | − | 1.62601i | ||||||
\(625\) | 292.655 | − | 212.626i | 0.468248 | − | 0.340202i | ||||
\(626\) | −487.537 | − | 77.2183i | −0.778813 | − | 0.123352i | ||||
\(627\) | 1142.20 | − | 180.906i | 1.82169 | − | 0.288527i | ||||
\(628\) | −446.572 | + | 227.540i | −0.711102 | + | 0.362325i | ||||
\(629\) | −132.576 | + | 132.576i | −0.210773 | + | 0.210773i | ||||
\(630\) | 1374.03 | + | 444.534i | 2.18101 | + | 0.705609i | ||||
\(631\) | 128.385 | + | 395.130i | 0.203464 | + | 0.626196i | 0.999773 | + | 0.0213069i | \(0.00678272\pi\) |
−0.796309 | + | 0.604889i | \(0.793217\pi\) | |||||||
\(632\) | −574.314 | − | 90.9624i | −0.908725 | − | 0.143928i | ||||
\(633\) | 1339.26 | + | 435.151i | 2.11573 | + | 0.687443i | ||||
\(634\) | 499.583 | − | 980.487i | 0.787986 | − | 1.54651i | ||||
\(635\) | 428.727 | + | 1319.49i | 0.675161 | + | 2.07793i | ||||
\(636\) | 33.5158 | + | 103.151i | 0.0526978 | + | 0.162187i | ||||
\(637\) | 88.6345 | + | 550.615i | 0.139144 | + | 0.864388i | ||||
\(638\) | −224.171 | + | 689.927i | −0.351365 | + | 1.08139i | ||||
\(639\) | 322.792 | + | 51.1252i | 0.505151 | + | 0.0800081i | ||||
\(640\) | 946.726 | − | 307.610i | 1.47926 | − | 0.480640i | ||||
\(641\) | −73.7695 | − | 465.762i | −0.115085 | − | 0.726618i | −0.975984 | − | 0.217842i | \(-0.930098\pi\) |
0.860899 | − | 0.508776i | \(-0.169902\pi\) | |||||||
\(642\) | 515.751 | − | 515.751i | 0.803350 | − | 0.803350i | ||||
\(643\) | −355.640 | + | 181.208i | −0.553095 | + | 0.281816i | −0.708117 | − | 0.706095i | \(-0.750455\pi\) |
0.155022 | + | 0.987911i | \(0.450455\pi\) | |||||||
\(644\) | 453.245 | + | 146.636i | 0.703797 | + | 0.227696i | ||||
\(645\) | −343.294 | + | 2167.47i | −0.532238 | + | 3.36042i | ||||
\(646\) | 358.169 | − | 260.225i | 0.554441 | − | 0.402825i | ||||
\(647\) | −477.435 | −0.737921 | −0.368961 | − | 0.929445i | \(-0.620286\pi\) | ||||
−0.368961 | + | 0.929445i | \(0.620286\pi\) | |||||||
\(648\) | 161.326 | + | 222.046i | 0.248959 | + | 0.342663i | ||||
\(649\) | −318.243 | + | 624.588i | −0.490359 | + | 0.962385i | ||||
\(650\) | −422.938 | − | 830.062i | −0.650674 | − | 1.27702i | ||||
\(651\) | 520.191 | − | 265.878i | 0.799064 | − | 0.408415i | ||||
\(652\) | −159.059 | − | 115.563i | −0.243955 | − | 0.177244i | ||||
\(653\) | −161.100 | + | 161.100i | −0.246708 | + | 0.246708i | −0.819618 | − | 0.572910i | \(-0.805814\pi\) |
0.572910 | + | 0.819618i | \(0.305814\pi\) | |||||||
\(654\) | −413.860 | + | 1273.73i | −0.632813 | + | 1.94760i | ||||
\(655\) | −1234.79 | −1.88517 | ||||||||
\(656\) | −814.345 | + | 86.8855i | −1.24138 | + | 0.132447i | ||||
\(657\) | − | 1065.16i | − | 1.62125i | ||||||
\(658\) | 574.666 | − | 576.119i | 0.873353 | − | 0.875561i | ||||
\(659\) | −496.040 | + | 496.040i | −0.752717 | + | 0.752717i | −0.974985 | − | 0.222269i | \(-0.928654\pi\) |
0.222269 | + | 0.974985i | \(0.428654\pi\) | |||||||
\(660\) | −601.759 | − | 437.204i | −0.911757 | − | 0.662430i | ||||
\(661\) | −922.882 | − | 670.513i | −1.39619 | − | 1.01439i | −0.995154 | − | 0.0983296i | \(-0.968650\pi\) |
−0.401036 | − | 0.916062i | \(-0.631350\pi\) | |||||||
\(662\) | 1225.55 | − | 624.450i | 1.85129 | − | 0.943278i | ||||
\(663\) | 160.971 | − | 315.923i | 0.242791 | − | 0.476505i | ||||
\(664\) | 530.456 | − | 385.399i | 0.798880 | − | 0.580420i | ||||
\(665\) | 616.909 | − | 1214.54i | 0.927683 | − | 1.82638i | ||||
\(666\) | −588.752 | + | 427.753i | −0.884012 | + | 0.642272i | ||||
\(667\) | −142.178 | + | 897.675i | −0.213160 | + | 1.34584i | ||||
\(668\) | 25.7074 | + | 162.310i | 0.0384841 | + | 0.242979i | ||||
\(669\) | 231.302 | + | 453.955i | 0.345742 | + | 0.678557i | ||||
\(670\) | −299.156 | + | 299.156i | −0.446501 | + | 0.446501i | ||||
\(671\) | −16.7410 | + | 2.65152i | −0.0249494 | + | 0.00395160i | ||||
\(672\) | −965.781 | − | 151.715i | −1.43717 | − | 0.225767i | ||||
\(673\) | −1035.79 | − | 164.053i | −1.53906 | − | 0.243764i | −0.671468 | − | 0.741034i | \(-0.734336\pi\) |
−0.867596 | + | 0.497270i | \(0.834336\pi\) | |||||||
\(674\) | 124.929 | − | 384.491i | 0.185354 | − | 0.570461i | ||||
\(675\) | −251.480 | − | 128.136i | −0.372564 | − | 0.189831i | ||||
\(676\) | −81.0092 | + | 26.3215i | −0.119836 | + | 0.0389371i | ||||
\(677\) | 156.405 | + | 481.365i | 0.231027 | + | 0.711027i | 0.997624 | + | 0.0688983i | \(0.0219484\pi\) |
−0.766597 | + | 0.642128i | \(0.778052\pi\) | |||||||
\(678\) | −2182.51 | − | 1112.04i | −3.21904 | − | 1.64018i | ||||
\(679\) | −474.114 | − | 472.919i | −0.698254 | − | 0.696493i | ||||
\(680\) | 239.882 | + | 37.9936i | 0.352768 | + | 0.0558729i | ||||
\(681\) | −182.187 | − | 560.713i | −0.267528 | − | 0.823367i | ||||
\(682\) | −464.739 | + | 73.6075i | −0.681436 | + | 0.107929i | ||||
\(683\) | 236.927 | + | 236.927i | 0.346891 | + | 0.346891i | 0.858950 | − | 0.512059i | \(-0.171117\pi\) |
−0.512059 | + | 0.858950i | \(0.671117\pi\) | |||||||
\(684\) | 536.681 | − | 273.453i | 0.784621 | − | 0.399785i | ||||
\(685\) | 214.931 | + | 1357.02i | 0.313767 | + | 1.98105i | ||||
\(686\) | 851.212 | − | 3.22369i | 1.24083 | − | 0.00469925i | ||||
\(687\) | 241.734 | − | 175.630i | 0.351869 | − | 0.255648i | ||||
\(688\) | − | 1289.89i | − | 1.87484i | ||||||
\(689\) | 103.660 | − | 75.3131i | 0.150449 | − | 0.109308i | ||||
\(690\) | −2368.85 | − | 1206.99i | −3.43311 | − | 1.74926i | ||||
\(691\) | −567.667 | − | 1114.11i | −0.821516 | − | 1.61232i | −0.790234 | − | 0.612805i | \(-0.790041\pi\) |
−0.0312817 | − | 0.999511i | \(-0.509959\pi\) | |||||||
\(692\) | −122.476 | − | 88.9843i | −0.176989 | − | 0.128590i | ||||
\(693\) | −352.645 | − | 689.950i | −0.508867 | − | 0.995599i | ||||
\(694\) | −453.695 | + | 453.695i | −0.653740 | + | 0.653740i | ||||
\(695\) | −254.645 | − | 82.7391i | −0.366395 | − | 0.119049i | ||||
\(696\) | − | 587.931i | − | 0.844729i | ||||||
\(697\) | −267.345 | − | 102.142i | −0.383566 | − | 0.146546i | ||||
\(698\) | − | 168.815i | − | 0.241856i | ||||||
\(699\) | 582.287 | − | 1792.09i | 0.833028 | − | 2.56380i | ||||
\(700\) | −473.813 | + | 154.613i | −0.676876 | + | 0.220875i | ||||
\(701\) | 608.997 | + | 442.462i | 0.868754 | + | 0.631187i | 0.930252 | − | 0.366920i | \(-0.119588\pi\) |
−0.0614981 | + | 0.998107i | \(0.519588\pi\) | |||||||
\(702\) | 142.076 | − | 195.551i | 0.202387 | − | 0.278562i | ||||
\(703\) | 311.645 | + | 611.638i | 0.443307 | + | 0.870039i | ||||
\(704\) | −20.2185 | − | 10.3018i | −0.0287194 | − | 0.0146333i | ||||
\(705\) | −1287.82 | + | 935.657i | −1.82670 | + | 1.32717i | ||||
\(706\) | 1152.56 | 1.63252 | ||||||||
\(707\) | −32.8882 | − | 205.965i | −0.0465179 | − | 0.291322i | ||||
\(708\) | −104.201 | + | 657.898i | −0.147176 | + | 0.929234i | ||||
\(709\) | 271.714 | − | 43.0353i | 0.383236 | − | 0.0606986i | 0.0381555 | − | 0.999272i | \(-0.487852\pi\) |
0.345080 | + | 0.938573i | \(0.387852\pi\) | |||||||
\(710\) | −504.027 | + | 256.815i | −0.709898 | + | 0.361711i | ||||
\(711\) | −982.383 | − | 982.383i | −1.38169 | − | 1.38169i | ||||
\(712\) | 160.241 | − | 25.3796i | 0.225057 | − | 0.0356455i | ||||
\(713\) | −560.658 | + | 182.169i | −0.786337 | + | 0.255496i | ||||
\(714\) | −438.221 | − | 317.542i | −0.613755 | − | 0.444736i | ||||
\(715\) | −271.539 | + | 835.711i | −0.379775 | + | 1.16883i | ||||
\(716\) | −172.178 | + | 337.919i | −0.240472 | + | 0.471953i | ||||
\(717\) | −367.952 | − | 1132.44i | −0.513183 | − | 1.57941i | ||||
\(718\) | 337.559 | − | 109.680i | 0.470138 | − | 0.152757i | ||||
\(719\) | 802.543 | + | 408.916i | 1.11619 | + | 0.568729i | 0.911995 | − | 0.410201i | \(-0.134541\pi\) |
0.204198 | + | 0.978930i | \(0.434541\pi\) | |||||||
\(720\) | 1579.27 | + | 513.137i | 2.19343 | + | 0.712690i | ||||
\(721\) | 31.0625 | − | 42.8675i | 0.0430825 | − | 0.0594557i | ||||
\(722\) | −224.048 | − | 689.548i | −0.310315 | − | 0.955053i | ||||
\(723\) | −250.232 | − | 1579.90i | −0.346103 | − | 2.18521i | ||||
\(724\) | 438.018 | − | 438.018i | 0.604997 | − | 0.604997i | ||||
\(725\) | −431.694 | − | 847.247i | −0.595440 | − | 1.16862i | ||||
\(726\) | −31.5333 | − | 199.094i | −0.0434343 | − | 0.274234i | ||||
\(727\) | −700.955 | − | 111.020i | −0.964175 | − | 0.152710i | −0.345553 | − | 0.938399i | \(-0.612309\pi\) |
−0.618622 | + | 0.785689i | \(0.712309\pi\) | |||||||
\(728\) | 57.4039 | + | 359.496i | 0.0788515 | + | 0.493813i | ||||
\(729\) | 999.491i | 1.37104i | ||||||||
\(730\) | 1083.69 | + | 1491.57i | 1.48451 | + | 2.04325i | ||||
\(731\) | 204.641 | − | 401.630i | 0.279946 | − | 0.549426i | ||||
\(732\) | −14.3506 | + | 7.31199i | −0.0196046 | + | 0.00998905i | ||||
\(733\) | 644.150 | + | 468.002i | 0.878786 | + | 0.638475i | 0.932930 | − | 0.360058i | \(-0.117243\pi\) |
−0.0541443 | + | 0.998533i | \(0.517243\pi\) | |||||||
\(734\) | −657.273 | + | 904.659i | −0.895468 | + | 1.23251i | ||||
\(735\) | −1645.33 | − | 256.337i | −2.23854 | − | 0.348758i | ||||
\(736\) | 938.229 | + | 304.849i | 1.27477 | + | 0.414197i | ||||
\(737\) | 226.995 | 0.307998 | ||||||||
\(738\) | −962.891 | − | 553.909i | −1.30473 | − | 0.750554i | ||||
\(739\) | −46.2344 | −0.0625635 | −0.0312817 | − | 0.999511i | \(-0.509959\pi\) | ||||
−0.0312817 | + | 0.999511i | \(0.509959\pi\) | |||||||
\(740\) | 136.439 | − | 419.917i | 0.184377 | − | 0.567455i | ||||
\(741\) | −917.946 | − | 917.946i | −1.23879 | − | 1.23879i | ||||
\(742\) | −89.0042 | − | 174.137i | −0.119952 | − | 0.234686i | ||||
\(743\) | −178.941 | + | 246.291i | −0.240835 | + | 0.331481i | −0.912275 | − | 0.409578i | \(-0.865676\pi\) |
0.671440 | + | 0.741059i | \(0.265676\pi\) | |||||||
\(744\) | 339.782 | − | 173.128i | 0.456696 | − | 0.232698i | ||||
\(745\) | 209.469 | − | 411.107i | 0.281167 | − | 0.551821i | ||||
\(746\) | −161.584 | − | 222.401i | −0.216600 | − | 0.298124i | ||||
\(747\) | 1566.60 | 2.09719 | ||||||||
\(748\) | 89.8040 | + | 123.605i | 0.120059 | + | 0.165247i | ||||
\(749\) | −270.490 | + | 373.288i | −0.361135 | + | 0.498382i | ||||
\(750\) | 664.871 | − | 105.305i | 0.886494 | − | 0.140407i | ||||
\(751\) | −253.852 | − | 498.212i | −0.338018 | − | 0.663398i | 0.657954 | − | 0.753058i | \(-0.271422\pi\) |
−0.995972 | + | 0.0896598i | \(0.971422\pi\) | |||||||
\(752\) | 661.610 | − | 661.610i | 0.879800 | − | 0.879800i | ||||
\(753\) | 162.207 | + | 1024.13i | 0.215414 | + | 1.36007i | ||||
\(754\) | 774.486 | − | 251.646i | 1.02717 | − | 0.333748i | ||||
\(755\) | 179.180 | − | 1131.30i | 0.237324 | − | 1.49841i | ||||
\(756\) | −91.5553 | − | 91.3244i | −0.121105 | − | 0.120799i | ||||
\(757\) | −350.902 | + | 688.684i | −0.463543 | + | 0.909755i | 0.534374 | + | 0.845248i | \(0.320547\pi\) |
−0.997917 | + | 0.0645066i | \(0.979453\pi\) | |||||||
\(758\) | −248.498 | + | 80.7417i | −0.327833 | + | 0.106519i | ||||
\(759\) | 440.800 | + | 1356.64i | 0.580764 | + | 1.78741i | ||||
\(760\) | 403.698 | − | 792.302i | 0.531182 | − | 1.04250i | ||||
\(761\) | 247.684 | + | 80.4774i | 0.325472 | + | 0.105752i | 0.467195 | − | 0.884154i | \(-0.345264\pi\) |
−0.141724 | + | 0.989906i | \(0.545264\pi\) | |||||||
\(762\) | 315.681 | − | 1993.13i | 0.414280 | − | 2.61566i | ||||
\(763\) | 131.360 | − | 836.202i | 0.172162 | − | 1.09594i | ||||
\(764\) | 92.2567 | + | 582.486i | 0.120755 | + | 0.762416i | ||||
\(765\) | 410.326 | + | 410.326i | 0.536374 | + | 0.536374i | ||||
\(766\) | −1347.91 | + | 686.793i | −1.75967 | + | 0.896597i | ||||
\(767\) | 777.219 | − | 123.099i | 1.01332 | − | 0.160495i | ||||
\(768\) | −1390.60 | − | 220.250i | −1.81068 | − | 0.286784i | ||||
\(769\) | 612.550 | + | 843.103i | 0.796555 | + | 1.09636i | 0.993261 | + | 0.115901i | \(0.0369755\pi\) |
−0.196706 | + | 0.980462i | \(0.563025\pi\) | |||||||
\(770\) | 1195.77 | + | 607.375i | 1.55295 | + | 0.788798i | ||||
\(771\) | −705.975 | − | 971.691i | −0.915661 | − | 1.26030i | ||||
\(772\) | −186.951 | − | 95.2563i | −0.242164 | − | 0.123389i | ||||
\(773\) | 92.4791 | + | 181.501i | 0.119637 | + | 0.234800i | 0.943057 | − | 0.332632i | \(-0.107937\pi\) |
−0.823420 | + | 0.567432i | \(0.807937\pi\) | |||||||
\(774\) | 1028.39 | − | 1415.46i | 1.32867 | − | 1.82876i | ||||
\(775\) | 362.527 | − | 498.976i | 0.467777 | − | 0.643840i | ||||
\(776\) | −309.096 | − | 309.096i | −0.398320 | − | 0.398320i | ||||
\(777\) | 592.593 | − | 594.091i | 0.762669 | − | 0.764597i | ||||
\(778\) | 66.6965 | 0.0857281 | ||||||||
\(779\) | −658.141 | + | 815.354i | −0.844854 | + | 1.04667i | ||||
\(780\) | 834.980i | 1.07049i | ||||||||
\(781\) | 288.657 | + | 93.7905i | 0.369600 | + | 0.120090i | ||||
\(782\) | 386.147 | + | 386.147i | 0.493795 | + | 0.493795i | ||||
\(783\) | 145.017 | − | 199.599i | 0.185207 | − | 0.254916i | ||||
\(784\) | 978.762 | − | 2.47115i | 1.24842 | − | 0.00315198i | ||||
\(785\) | −1575.19 | + | 802.599i | −2.00661 | + | 1.02242i | ||||
\(786\) | 1600.26 | + | 815.373i | 2.03595 | + | 1.03737i | ||||
\(787\) | −13.2679 | + | 9.63968i | −0.0168588 | + | 0.0122486i | −0.596183 | − | 0.802849i | \(-0.703317\pi\) |
0.579324 | + | 0.815097i | \(0.303317\pi\) | |||||||
\(788\) | 258.502i | 0.328048i | ||||||||
\(789\) | 716.745 | + | 986.515i | 0.908422 | + | 1.25034i | ||||
\(790\) | 2375.13 | + | 376.183i | 3.00649 | + | 0.476181i | ||||
\(791\) | 1472.97 | + | 476.541i | 1.86216 | + | 0.602454i | ||||
\(792\) | −229.626 | − | 450.667i | −0.289932 | − | 0.569024i | ||||
\(793\) | 13.4542 | + | 13.4542i | 0.0169662 | + | 0.0169662i | ||||
\(794\) | −248.404 | + | 39.3433i | −0.312851 | + | 0.0495507i | ||||
\(795\) | 118.220 | + | 363.843i | 0.148704 | + | 0.457665i | ||||
\(796\) | −24.9575 | + | 157.576i | −0.0313537 | + | 0.197959i | ||||
\(797\) | 82.8340 | + | 26.9144i | 0.103932 | + | 0.0337696i | 0.360521 | − | 0.932751i | \(-0.382599\pi\) |
−0.256589 | + | 0.966521i | \(0.582599\pi\) | |||||||
\(798\) | −1601.51 | + | 1166.65i | −2.00690 | + | 1.46197i | ||||
\(799\) | 310.969 | − | 101.040i | 0.389197 | − | 0.126458i | ||||
\(800\) | −981.610 | + | 318.944i | −1.22701 | + | 0.398681i | ||||
\(801\) | 345.382 | + | 175.981i | 0.431189 | + | 0.219702i | ||||
\(802\) | 530.510 | − | 1632.74i | 0.661484 | − | 2.03584i | ||||
\(803\) | 154.747 | − | 977.036i | 0.192711 | − | 1.21673i | ||||
\(804\) | 205.139 | − | 66.6536i | 0.255148 | − | 0.0829025i | ||||
\(805\) | 1598.73 | + | 517.227i | 1.98600 | + | 0.642519i | ||||
\(806\) | 373.495 | + | 373.495i | 0.463394 | + | 0.463394i | ||||
\(807\) | −506.886 | − | 994.820i | −0.628112 | − | 1.23274i | ||||
\(808\) | −21.2986 | − | 134.474i | −0.0263596 | − | 0.166428i | ||||
\(809\) | −14.6229 | + | 92.3251i | −0.0180752 | + | 0.114123i | −0.995076 | − | 0.0991119i | \(-0.968400\pi\) |
0.977001 | + | 0.213234i | \(0.0683998\pi\) | |||||||
\(810\) | −667.176 | − | 918.289i | −0.823674 | − | 1.13369i | ||||
\(811\) | −971.530 | −1.19794 | −0.598970 | − | 0.800771i | \(-0.704423\pi\) | ||||
−0.598970 | + | 0.800771i | \(0.704423\pi\) | |||||||
\(812\) | −68.6968 | − | 430.219i | −0.0846020 | − | 0.529826i | ||||
\(813\) | 495.888 | + | 252.667i | 0.609948 | + | 0.310784i | ||||
\(814\) | −602.185 | + | 306.828i | −0.739785 | + | 0.376939i | ||||
\(815\) | −561.046 | − | 407.624i | −0.688400 | − | 0.500152i | ||||
\(816\) | −503.422 | − | 365.758i | −0.616939 | − | 0.448233i | ||||
\(817\) | −1166.98 | − | 1166.98i | −1.42837 | − | 1.42837i | ||||
\(818\) | −519.953 | + | 1600.25i | −0.635639 | + | 1.95630i | ||||
\(819\) | −393.910 | + | 775.510i | −0.480964 | + | 0.946898i | ||||
\(820\) | 670.158 | − | 71.5017i | 0.817266 | − | 0.0871972i | ||||
\(821\) | 1388.75 | 1.69154 | 0.845768 | − | 0.533550i | \(-0.179142\pi\) | ||||
0.845768 | + | 0.533550i | \(0.179142\pi\) | |||||||
\(822\) | 617.541 | − | 1900.60i | 0.751267 | − | 2.31216i | ||||
\(823\) | −3.07212 | + | 3.07212i | −0.00373283 | + | 0.00373283i | −0.708971 | − | 0.705238i | \(-0.750840\pi\) |
0.705238 | + | 0.708971i | \(0.250840\pi\) | |||||||
\(824\) | 20.3119 | − | 27.9569i | 0.0246503 | − | 0.0339283i | ||||
\(825\) | −1207.39 | − | 877.219i | −1.46350 | − | 1.06330i | ||||
\(826\) | −1.51619 | − | 1201.05i | −0.00183558 | − | 1.45405i | ||||
\(827\) | −568.603 | − | 289.718i | −0.687549 | − | 0.350324i | 0.0750641 | − | 0.997179i | \(-0.476084\pi\) |
−0.762613 | + | 0.646855i | \(0.776084\pi\) | |||||||
\(828\) | 436.709 | + | 601.078i | 0.527426 | + | 0.725940i | ||||
\(829\) | −1469.96 | −1.77317 | −0.886584 | − | 0.462568i | \(-0.846928\pi\) | ||||
−0.886584 | + | 0.462568i | \(0.846928\pi\) | |||||||
\(830\) | −2193.75 | + | 1593.85i | −2.64307 | + | 1.92030i | ||||
\(831\) | −2129.14 | − | 337.223i | −2.56215 | − | 0.405804i | ||||
\(832\) | 3.98483 | + | 25.1593i | 0.00478946 | + | 0.0302395i | ||||
\(833\) | 305.147 | + | 154.511i | 0.366323 | + | 0.185487i | ||||
\(834\) | 275.379 | + | 275.379i | 0.330191 | + | 0.330191i | ||||
\(835\) | 90.6773 | + | 572.514i | 0.108596 | + | 0.685646i | ||||
\(836\) | 532.005 | − | 172.859i | 0.636370 | − | 0.206769i | ||||
\(837\) | 158.057 | + | 25.0338i | 0.188837 | + | 0.0299089i | ||||
\(838\) | −284.048 | − | 92.2929i | −0.338960 | − | 0.110135i | ||||
\(839\) | 421.779 | + | 214.907i | 0.502717 | + | 0.256147i | 0.686909 | − | 0.726743i | \(-0.258967\pi\) |
−0.184192 | + | 0.982890i | \(0.558967\pi\) | |||||||
\(840\) | −1073.80 | − | 168.684i | −1.27833 | − | 0.200814i | ||||
\(841\) | −9.31811 | + | 3.02764i | −0.0110798 | + | 0.00360004i | ||||
\(842\) | −641.236 | + | 1258.50i | −0.761563 | + | 1.49465i | ||||
\(843\) | −468.271 | − | 152.151i | −0.555482 | − | 0.180487i | ||||
\(844\) | 672.769 | + | 106.556i | 0.797120 | + | 0.126251i | ||||
\(845\) | −285.743 | + | 92.8435i | −0.338157 | + | 0.109874i | ||||
\(846\) | 1253.50 | − | 198.535i | 1.48168 | − | 0.234674i | ||||
\(847\) | 39.5219 | + | 121.115i | 0.0466610 | + | 0.142993i | ||||
\(848\) | −102.088 | − | 200.359i | −0.120387 | − | 0.236272i | ||||
\(849\) | −189.807 | + | 30.0625i | −0.223566 | + | 0.0354094i | ||||
\(850\) | −564.310 | − | 89.3780i | −0.663895 | − | 0.105151i | ||||
\(851\) | −685.029 | + | 497.703i | −0.804970 | + | 0.584845i | ||||
\(852\) | 288.405 | 0.338503 | ||||||||
\(853\) | 261.235 | − | 189.798i | 0.306254 | − | 0.222507i | −0.424033 | − | 0.905647i | \(-0.639386\pi\) |
0.730288 | + | 0.683140i | \(0.239386\pi\) | |||||||
\(854\) | 23.4731 | − | 17.0995i | 0.0274860 | − | 0.0200228i | ||||
\(855\) | 1893.03 | − | 964.546i | 2.21407 | − | 1.12812i | ||||
\(856\) | −176.875 | + | 243.447i | −0.206629 | + | 0.284401i | ||||
\(857\) | −116.900 | + | 160.899i | −0.136406 | + | 0.187747i | −0.871755 | − | 0.489941i | \(-0.837018\pi\) |
0.735349 | + | 0.677689i | \(0.237018\pi\) | |||||||
\(858\) | 903.759 | − | 903.759i | 1.05333 | − | 1.05333i | ||||
\(859\) | −162.363 | + | 499.702i | −0.189014 | + | 0.581725i | −0.999994 | − | 0.00334820i | \(-0.998934\pi\) |
0.810980 | + | 0.585073i | \(0.198934\pi\) | |||||||
\(860\) | 1061.50i | 1.23431i | ||||||||
\(861\) | 1197.07 | + | 455.625i | 1.39033 | + | 0.529182i | ||||
\(862\) | −1508.79 | −1.75034 | ||||||||
\(863\) | 108.727 | + | 35.3275i | 0.125987 | + | 0.0409357i | 0.371332 | − | 0.928500i | \(-0.378901\pi\) |
−0.245345 | + | 0.969436i | \(0.578901\pi\) | |||||||
\(864\) | −189.360 | − | 189.360i | −0.219167 | − | 0.219167i | ||||
\(865\) | −432.009 | − | 313.873i | −0.499433 | − | 0.362859i | ||||
\(866\) | −342.501 | − | 248.842i | −0.395498 | − | 0.287346i | ||||
\(867\) | 486.825 | + | 955.447i | 0.561505 | + | 1.10202i | ||||
\(868\) | 228.406 | − | 166.388i | 0.263141 | − | 0.191691i | ||||
\(869\) | −758.383 | − | 1043.82i | −0.872708 | − | 1.20118i | ||||
\(870\) | 2431.44i | 2.79476i | ||||||||
\(871\) | −149.777 | − | 206.150i | −0.171960 | − | 0.236682i | ||||
\(872\) | 86.4361 | − | 545.736i | 0.0991240 | − | 0.625844i | ||||
\(873\) | −163.383 | − | 1031.56i | −0.187151 | − | 1.18163i | ||||
\(874\) | 1781.48 | − | 907.710i | 2.03831 | − | 1.03857i | ||||
\(875\) | −404.463 | + | 131.983i | −0.462244 | + | 0.150838i | ||||
\(876\) | −147.045 | − | 928.403i | −0.167859 | − | 1.05982i | ||||
\(877\) | −356.837 | − | 1098.23i | −0.406884 | − | 1.25226i | −0.919312 | − | 0.393529i | \(-0.871254\pi\) |
0.512428 | − | 0.858730i | \(-0.328746\pi\) | |||||||
\(878\) | 125.239 | − | 790.725i | 0.142641 | − | 0.900599i | ||||
\(879\) | −205.038 | + | 631.041i | −0.233262 | + | 0.717908i | ||||
\(880\) | 1374.06 | + | 700.119i | 1.56143 | + | 0.795590i | ||||
\(881\) | 422.078 | + | 1299.02i | 0.479090 | + | 1.47449i | 0.840361 | + | 0.542027i | \(0.182343\pi\) |
−0.361271 | + | 0.932461i | \(0.617657\pi\) | |||||||
\(882\) | 1076.01 | + | 777.626i | 1.21997 | + | 0.881662i | ||||
\(883\) | −661.423 | + | 1298.12i | −0.749064 | + | 1.47012i | 0.129035 | + | 0.991640i | \(0.458812\pi\) |
−0.878098 | + | 0.478480i | \(0.841188\pi\) | |||||||
\(884\) | 52.9993 | − | 163.115i | 0.0599540 | − | 0.184519i | ||||
\(885\) | −367.546 | + | 2320.60i | −0.415306 | + | 2.62214i | ||||
\(886\) | −334.710 | − | 1030.13i | −0.377776 | − | 1.16268i | ||||
\(887\) | 1270.93 | − | 201.295i | 1.43284 | − | 0.226939i | 0.608732 | − | 0.793376i | \(-0.291679\pi\) |
0.824105 | + | 0.566437i | \(0.191679\pi\) | |||||||
\(888\) | 387.315 | − | 387.315i | 0.436165 | − | 0.436165i | ||||
\(889\) | 1.61006 | + | 1275.41i | 0.00181109 | + | 1.43466i | ||||
\(890\) | −662.689 | + | 104.960i | −0.744594 | + | 0.117932i | ||||
\(891\) | −95.2703 | + | 601.513i | −0.106925 | + | 0.675099i | ||||
\(892\) | 144.857 | + | 199.378i | 0.162395 | + | 0.223518i | ||||
\(893\) | − | 1197.13i | − | 1.34057i | ||||||
\(894\) | −542.937 | + | 394.467i | −0.607312 | + | 0.441238i | ||||
\(895\) | −607.322 | + | 1191.94i | −0.678572 | + | 1.33177i | ||||
\(896\) | 915.102 | − | 1.15521i | 1.02132 | − | 0.00128930i | ||||
\(897\) | 941.215 | − | 1295.47i | 1.04929 | − | 1.44423i | ||||
\(898\) | −215.998 | − | 156.932i | −0.240533 | − | 0.174757i | ||||
\(899\) | 381.228 | + | 381.228i | 0.424058 | + | 0.424058i | ||||
\(900\) | −739.281 | − | 240.207i | −0.821424 | − | 0.266897i | ||||
\(901\) | − | 78.5815i | − | 0.0872158i | ||||||
\(902\) | −802.752 | − | 647.969i | −0.889969 | − | 0.718370i | ||||
\(903\) | −913.596 | + | 1798.64i | −1.01173 | + | 1.99185i | ||||
\(904\) | 961.111 | + | 312.284i | 1.06318 | + | 0.345447i | ||||
\(905\) | 1545.02 | − | 1545.02i | 1.70720 | − | 1.70720i | ||||
\(906\) | −979.249 | + | 1347.82i | −1.08085 | + | 1.48766i | ||||
\(907\) | 336.517 | − | 463.176i | 0.371022 | − | 0.510669i | −0.582156 | − | 0.813077i | \(-0.697791\pi\) |
0.953178 | + | 0.302409i | \(0.0977907\pi\) | |||||||
\(908\) | −129.470 | − | 254.099i | −0.142588 | − | 0.279845i | ||||
\(909\) | 147.683 | − | 289.845i | 0.162468 | − | 0.318861i | ||||
\(910\) | −237.399 | − | 1486.73i | −0.260878 | − | 1.63377i | ||||
\(911\) | 117.165i | 0.128612i | 0.997930 | + | 0.0643058i | \(0.0204833\pi\) | ||||
−0.997930 | + | 0.0643058i | \(0.979517\pi\) | |||||||
\(912\) | −1843.17 | + | 1339.14i | −2.02102 | + | 1.46835i | ||||
\(913\) | 1436.98 | + | 227.596i | 1.57392 | + | 0.249284i | ||||
\(914\) | −342.240 | + | 54.2054i | −0.374441 | + | 0.0593057i | ||||
\(915\) | −50.6186 | + | 25.7915i | −0.0553209 | + | 0.0281874i | ||||
\(916\) | 102.200 | − | 102.200i | 0.111573 | − | 0.111573i | ||||
\(917\) | −1080.01 | − | 349.410i | −1.17776 | − | 0.381036i | ||||
\(918\) | −45.8091 | − | 140.986i | −0.0499010 | − | 0.153580i | ||||
\(919\) | −1088.20 | − | 172.354i | −1.18411 | − | 0.187545i | −0.466841 | − | 0.884341i | \(-0.654608\pi\) |
−0.717269 | + | 0.696797i | \(0.754608\pi\) | |||||||
\(920\) | 1043.17 | + | 338.946i | 1.13388 | + | 0.368420i | ||||
\(921\) | −333.547 | + | 654.623i | −0.362158 | + | 0.710775i | ||||
\(922\) | 562.370 | + | 1730.80i | 0.609946 | + | 1.87722i | ||||
\(923\) | −105.286 | − | 324.036i | −0.114069 | − | 0.351068i | ||||
\(924\) | −402.614 | − | 552.683i | −0.435730 | − | 0.598141i | ||||
\(925\) | 273.756 | − | 842.535i | 0.295953 | − | 0.910848i | ||||
\(926\) | −765.038 | − | 121.170i | −0.826175 | − | 0.130853i | ||||
\(927\) | 78.5242 | − | 25.5141i | 0.0847079 | − | 0.0275233i | ||||
\(928\) | −141.138 | − | 891.108i | −0.152088 | − | 0.960245i | ||||
\(929\) | −602.200 | + | 602.200i | −0.648224 | + | 0.648224i | −0.952564 | − | 0.304340i | \(-0.901564\pi\) |
0.304340 | + | 0.952564i | \(0.401564\pi\) | |||||||
\(930\) | −1405.20 | + | 715.984i | −1.51096 | + | 0.769875i | ||||
\(931\) | 883.262 | − | 887.733i | 0.948724 | − | 0.953527i | ||||
\(932\) | 142.585 | − | 900.249i | 0.152989 | − | 0.965932i | ||||
\(933\) | 2007.40 | − | 1458.46i | 2.15155 | − | 1.56319i | ||||
\(934\) | 584.607 | 0.625918 | ||||||||
\(935\) | 316.765 | + | 435.989i | 0.338786 | + | 0.466299i | ||||
\(936\) | −257.770 | + | 505.902i | −0.275395 | + | 0.540494i | ||||
\(937\) | −720.089 | − | 1413.25i | −0.768505 | − | 1.50828i | −0.858772 | − | 0.512358i | \(-0.828772\pi\) |
0.0902667 | − | 0.995918i | \(-0.471228\pi\) | |||||||
\(938\) | −346.310 | + | 177.005i | −0.369200 | + | 0.188704i | ||||
\(939\) | 718.151 | + | 521.767i | 0.764804 | + | 0.555663i | ||||
\(940\) | −544.467 | + | 544.467i | −0.579220 | + | 0.579220i | ||||
\(941\) | −228.576 | + | 703.485i | −0.242908 | + | 0.747593i | 0.753066 | + | 0.657945i | \(0.228574\pi\) |
−0.995974 | + | 0.0896476i | \(0.971426\pi\) | |||||||
\(942\) | 2571.40 | 2.72972 | ||||||||
\(943\) | −1120.35 | − | 644.488i | −1.18807 | − | 0.683445i | ||||
\(944\) | − | 1381.01i | − | 1.46294i | ||||||
\(945\) | −322.942 | − | 322.128i | −0.341737 | − | 0.340876i | ||||
\(946\) | 1148.94 | − | 1148.94i | 1.21453 | − | 1.21453i | ||||
\(947\) | −807.814 | − | 586.911i | −0.853024 | − | 0.619758i | 0.0729543 | − | 0.997335i | \(-0.476757\pi\) |
−0.925978 | + | 0.377577i | \(0.876757\pi\) | |||||||
\(948\) | −991.868 | − | 720.634i | −1.04627 | − | 0.760162i | ||||
\(949\) | −989.423 | + | 504.136i | −1.04260 | + | 0.531229i | ||||
\(950\) | −949.680 | + | 1863.85i | −0.999663 | + | 1.96195i | ||||
\(951\) | −1600.99 | + | 1163.19i | −1.68348 | + | 1.22312i | ||||
\(952\) | 199.062 | + | 101.111i | 0.209099 | + | 0.106209i | ||||
\(953\) | −1176.36 | + | 854.675i | −1.23438 | + | 0.896826i | −0.997210 | − | 0.0746434i | \(-0.976218\pi\) |
−0.237165 | + | 0.971469i | \(0.576218\pi\) | |||||||
\(954\) | 47.7140 | − | 301.255i | 0.0500147 | − | 0.315781i | ||||
\(955\) | 325.416 | + | 2054.59i | 0.340750 | + | 2.15141i | ||||
\(956\) | −261.483 | − | 513.190i | −0.273518 | − | 0.536809i | ||||
\(957\) | 922.469 | − | 922.469i | 0.963918 | − | 0.963918i | ||||
\(958\) | −266.562 | + | 42.2193i | −0.278249 | + | 0.0440703i | ||||
\(959\) | −196.008 | + | 1247.74i | −0.204388 | + | 1.30108i | ||||
\(960\) | −75.1197 | − | 11.8978i | −0.0782497 | − | 0.0123935i | ||||
\(961\) | 188.903 | − | 581.383i | 0.196569 | − | 0.604978i | ||||
\(962\) | 675.990 | + | 344.434i | 0.702693 | + | 0.358040i | ||||
\(963\) | −683.785 | + | 222.175i | −0.710057 | + | 0.230711i | ||||
\(964\) | −239.101 | − | 735.877i | −0.248030 | − | 0.763358i | ||||
\(965\) | −659.430 | − | 335.996i | −0.683347 | − | 0.348183i | ||||
\(966\) | −1730.38 | − | 1726.01i | −1.79128 | − | 1.78676i | ||||
\(967\) | 986.107 | + | 156.184i | 1.01976 | + | 0.161514i | 0.643858 | − | 0.765145i | \(-0.277333\pi\) |
0.375902 | + | 0.926659i | \(0.377333\pi\) | |||||||
\(968\) | 25.6987 | + | 79.0926i | 0.0265483 | + | 0.0817072i | ||||
\(969\) | −786.358 | + | 124.547i | −0.811515 | + | 0.128531i | ||||
\(970\) | 1278.29 | + | 1278.29i | 1.31783 | + | 1.31783i | ||||
\(971\) | 1328.03 | − | 676.667i | 1.36770 | − | 0.696876i | 0.392818 | − | 0.919616i | \(-0.371500\pi\) |
0.974878 | + | 0.222740i | \(0.0715001\pi\) | |||||||
\(972\) | 116.537 | + | 735.788i | 0.119894 | + | 0.756984i | ||||
\(973\) | −199.313 | − | 144.425i | −0.204844 | − | 0.148433i | ||||
\(974\) | −1364.79 | + | 991.575i | −1.40122 | + | 1.01804i | ||||
\(975\) | 1675.33i | 1.71829i | ||||||||
\(976\) | 27.0151 | − | 19.6276i | 0.0276794 | − | 0.0201102i | ||||
\(977\) | −193.095 | − | 98.3866i | −0.197640 | − | 0.100703i | 0.352369 | − | 0.935861i | \(-0.385376\pi\) |
−0.550010 | + | 0.835158i | \(0.685376\pi\) | |||||||
\(978\) | 457.936 | + | 898.751i | 0.468237 | + | 0.918968i | ||||
\(979\) | 291.240 | + | 211.598i | 0.297487 | + | 0.216137i | ||||
\(980\) | −805.464 | + | 2.03362i | −0.821902 | + | 0.00207512i | ||||
\(981\) | 933.500 | − | 933.500i | 0.951580 | − | 0.951580i | ||||
\(982\) | −1844.78 | − | 599.405i | −1.87860 | − | 0.610393i | ||||
\(983\) | − | 1103.46i | − | 1.12255i | −0.827630 | − | 0.561274i | \(-0.810311\pi\) | ||
0.827630 | − | 0.561274i | \(-0.189689\pi\) | |||||||
\(984\) | 781.035 | + | 298.403i | 0.793734 | + | 0.303255i | ||||
\(985\) | 911.811i | 0.925697i | ||||||||
\(986\) | 154.333 | − | 474.987i | 0.156524 | − | 0.481732i | ||||
\(987\) | −1391.16 | + | 453.958i | −1.40949 | + | 0.459937i | ||||
\(988\) | −508.017 | − | 369.096i | −0.514187 | − | 0.373579i | ||||
\(989\) | 1196.56 | − | 1646.92i | 1.20987 | − | 1.66524i | ||||
\(990\) | 949.639 | + | 1863.77i | 0.959231 | + | 1.88260i | ||||
\(991\) | 657.623 | + | 335.076i | 0.663595 | + | 0.338119i | 0.753136 | − | 0.657864i | \(-0.228540\pi\) |
−0.0895409 | + | 0.995983i | \(0.528540\pi\) | |||||||
\(992\) | 473.435 | − | 343.971i | 0.477253 | − | 0.346745i | ||||
\(993\) | −2473.55 | −2.49099 | ||||||||
\(994\) | −513.520 | + | 81.9983i | −0.516620 | + | 0.0824932i | ||||
\(995\) | −88.0324 | + | 555.815i | −0.0884748 | + | 0.558608i | ||||
\(996\) | 1365.46 | − | 216.267i | 1.37094 | − | 0.217136i | ||||
\(997\) | −512.175 | + | 260.966i | −0.513716 | + | 0.261751i | −0.691575 | − | 0.722305i | \(-0.743083\pi\) |
0.177859 | + | 0.984056i | \(0.443083\pi\) | |||||||
\(998\) | 1072.76 | + | 1072.76i | 1.07491 | + | 1.07491i | ||||
\(999\) | 227.025 | − | 35.9572i | 0.227252 | − | 0.0359932i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 287.3.t.a.20.14 | yes | 432 | |
7.6 | odd | 2 | inner | 287.3.t.a.20.13 | ✓ | 432 | |
41.39 | even | 20 | inner | 287.3.t.a.244.13 | yes | 432 | |
287.244 | odd | 20 | inner | 287.3.t.a.244.14 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.t.a.20.13 | ✓ | 432 | 7.6 | odd | 2 | inner | |
287.3.t.a.20.14 | yes | 432 | 1.1 | even | 1 | trivial | |
287.3.t.a.244.13 | yes | 432 | 41.39 | even | 20 | inner | |
287.3.t.a.244.14 | yes | 432 | 287.244 | odd | 20 | inner |