Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(23,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.e (of order \(3\), degree \(2\), 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: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1783323.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} - 2x^{3} + 19x^{2} - 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.3 | ||
Root | \(0.356769 - 0.617942i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.67 |
Dual form | 77.2.e.b.23.3 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24543 | + | 2.15715i | 0.880653 | + | 1.52534i | 0.850616 | + | 0.525787i | \(0.176229\pi\) |
0.0300373 | + | 0.999549i | \(0.490437\pi\) | |||||||
\(3\) | 0.356769 | − | 0.617942i | 0.205981 | − | 0.356769i | −0.744464 | − | 0.667663i | \(-0.767295\pi\) |
0.950445 | + | 0.310894i | \(0.100628\pi\) | |||||||
\(4\) | −2.10220 | + | 3.64112i | −1.05110 | + | 1.82056i | ||||
\(5\) | −1.10220 | − | 1.90907i | −0.492919 | − | 0.853761i | 0.507048 | − | 0.861918i | \(-0.330737\pi\) |
−0.999967 | + | 0.00815703i | \(0.997404\pi\) | |||||||
\(6\) | 1.77733 | 0.725590 | ||||||||
\(7\) | −1.10220 | − | 2.40523i | −0.416593 | − | 0.909093i | ||||
\(8\) | −5.49086 | −1.94131 | ||||||||
\(9\) | 1.24543 | + | 2.15715i | 0.415144 | + | 0.719050i | ||||
\(10\) | 2.74543 | − | 4.75523i | 0.868182 | − | 1.50373i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | 1.50000 | + | 2.59808i | 0.433013 | + | 0.750000i | ||||
\(13\) | −3.28646 | −0.911501 | −0.455750 | − | 0.890108i | \(-0.650629\pi\) | ||||
−0.455750 | + | 0.890108i | \(0.650629\pi\) | |||||||
\(14\) | 3.81574 | − | 5.37317i | 1.01980 | − | 1.43604i | ||||
\(15\) | −1.57292 | −0.406127 | ||||||||
\(16\) | −2.63409 | − | 4.56239i | −0.658524 | − | 1.14060i | ||||
\(17\) | −0.745432 | + | 1.29113i | −0.180794 | + | 0.313144i | −0.942151 | − | 0.335189i | \(-0.891200\pi\) |
0.761357 | + | 0.648333i | \(0.224533\pi\) | |||||||
\(18\) | −3.10220 | + | 5.37317i | −0.731196 | + | 1.26647i | ||||
\(19\) | 3.45897 | + | 5.99111i | 0.793542 | + | 1.37446i | 0.923761 | + | 0.382970i | \(0.125099\pi\) |
−0.130219 | + | 0.991485i | \(0.541568\pi\) | |||||||
\(20\) | 9.26819 | 2.07243 | ||||||||
\(21\) | −1.87953 | − | 0.177017i | −0.410146 | − | 0.0386283i | ||||
\(22\) | 2.49086 | 0.531054 | ||||||||
\(23\) | −3.24543 | − | 5.62125i | −0.676719 | − | 1.17211i | −0.975963 | − | 0.217936i | \(-0.930068\pi\) |
0.299244 | − | 0.954177i | \(-0.403266\pi\) | |||||||
\(24\) | −1.95897 | + | 3.39304i | −0.399873 | + | 0.692600i | ||||
\(25\) | 0.0703069 | − | 0.121775i | 0.0140614 | − | 0.0243550i | ||||
\(26\) | −4.09306 | − | 7.08940i | −0.802716 | − | 1.39034i | ||||
\(27\) | 3.91794 | 0.754008 | ||||||||
\(28\) | 11.0748 | + | 1.04304i | 2.09294 | + | 0.197116i | ||||
\(29\) | −1.64975 | −0.306351 | −0.153175 | − | 0.988199i | \(-0.548950\pi\) | ||||
−0.153175 | + | 0.988199i | \(0.548950\pi\) | |||||||
\(30\) | −1.95897 | − | 3.39304i | −0.357657 | − | 0.619481i | ||||
\(31\) | 1.17512 | − | 2.03538i | 0.211059 | − | 0.365564i | −0.740987 | − | 0.671519i | \(-0.765642\pi\) |
0.952046 | + | 0.305955i | \(0.0989756\pi\) | |||||||
\(32\) | 1.07031 | − | 1.85383i | 0.189205 | − | 0.327713i | ||||
\(33\) | −0.356769 | − | 0.617942i | −0.0621055 | − | 0.107570i | ||||
\(34\) | −3.71354 | −0.636867 | ||||||||
\(35\) | −3.37691 | + | 4.75523i | −0.570802 | + | 0.803780i | ||||
\(36\) | −10.4726 | −1.74543 | ||||||||
\(37\) | 2.77733 | + | 4.81047i | 0.456590 | + | 0.790836i | 0.998778 | − | 0.0494206i | \(-0.0157375\pi\) |
−0.542189 | + | 0.840257i | \(0.682404\pi\) | |||||||
\(38\) | −8.61582 | + | 14.9230i | −1.39767 | + | 2.42084i | ||||
\(39\) | −1.17251 | + | 2.03084i | −0.187751 | + | 0.325195i | ||||
\(40\) | 6.05203 | + | 10.4824i | 0.956911 | + | 1.65742i | ||||
\(41\) | −11.2499 | −1.75694 | −0.878471 | − | 0.477796i | \(-0.841436\pi\) | ||||
−0.878471 | + | 0.477796i | \(0.841436\pi\) | |||||||
\(42\) | −1.95897 | − | 4.27489i | −0.302276 | − | 0.659629i | ||||
\(43\) | 5.26819 | 0.803391 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) | ||||
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(44\) | 2.10220 | + | 3.64112i | 0.316919 | + | 0.548919i | ||||
\(45\) | 2.74543 | − | 4.75523i | 0.409265 | − | 0.708867i | ||||
\(46\) | 8.08393 | − | 14.0018i | 1.19191 | − | 2.06445i | ||||
\(47\) | −0.745432 | − | 1.29113i | −0.108732 | − | 0.188330i | 0.806525 | − | 0.591201i | \(-0.201346\pi\) |
−0.915257 | + | 0.402871i | \(0.868012\pi\) | |||||||
\(48\) | −3.75905 | −0.542573 | ||||||||
\(49\) | −4.57031 | + | 5.30210i | −0.652901 | + | 0.757443i | ||||
\(50\) | 0.350250 | 0.0495328 | ||||||||
\(51\) | 0.531894 | + | 0.921267i | 0.0744800 | + | 0.129003i | ||||
\(52\) | 6.90880 | − | 11.9664i | 0.958079 | − | 1.65944i | ||||
\(53\) | −0.152367 | + | 0.263908i | −0.0209293 | + | 0.0362506i | −0.876300 | − | 0.481765i | \(-0.839996\pi\) |
0.855371 | + | 0.518016i | \(0.173329\pi\) | |||||||
\(54\) | 4.87953 | + | 8.45159i | 0.664019 | + | 1.15012i | ||||
\(55\) | −2.20440 | −0.297241 | ||||||||
\(56\) | 6.05203 | + | 13.2068i | 0.808737 | + | 1.76483i | ||||
\(57\) | 4.93621 | 0.653817 | ||||||||
\(58\) | −2.05465 | − | 3.55876i | −0.269789 | − | 0.467288i | ||||
\(59\) | 6.32936 | − | 10.9628i | 0.824012 | − | 1.42723i | −0.0786592 | − | 0.996902i | \(-0.525064\pi\) |
0.902672 | − | 0.430330i | \(-0.141603\pi\) | |||||||
\(60\) | 3.30660 | − | 5.72720i | 0.426881 | − | 0.739379i | ||||
\(61\) | 6.49086 | + | 11.2425i | 0.831070 | + | 1.43946i | 0.897191 | + | 0.441644i | \(0.145604\pi\) |
−0.0661206 | + | 0.997812i | \(0.521062\pi\) | |||||||
\(62\) | 5.85415 | 0.743478 | ||||||||
\(63\) | 3.81574 | − | 5.37317i | 0.480738 | − | 0.676956i | ||||
\(64\) | −5.20440 | −0.650550 | ||||||||
\(65\) | 3.62234 | + | 6.27408i | 0.449296 | + | 0.778204i | ||||
\(66\) | 0.888663 | − | 1.53921i | 0.109387 | − | 0.189464i | ||||
\(67\) | 2.28646 | − | 3.96027i | 0.279336 | − | 0.483824i | −0.691884 | − | 0.722009i | \(-0.743219\pi\) |
0.971220 | + | 0.238185i | \(0.0765524\pi\) | |||||||
\(68\) | −3.13409 | − | 5.42841i | −0.380065 | − | 0.658292i | ||||
\(69\) | −4.63148 | −0.557564 | ||||||||
\(70\) | −14.4635 | − | 1.36219i | −1.72871 | − | 0.162813i | ||||
\(71\) | 11.3267 | 1.34424 | 0.672119 | − | 0.740444i | \(-0.265385\pi\) | ||||
0.672119 | + | 0.740444i | \(0.265385\pi\) | |||||||
\(72\) | −6.83850 | − | 11.8446i | −0.805925 | − | 1.39590i | ||||
\(73\) | 4.28384 | − | 7.41984i | 0.501386 | − | 0.868426i | −0.498613 | − | 0.866825i | \(-0.666157\pi\) |
0.999999 | − | 0.00160129i | \(-0.000509706\pi\) | |||||||
\(74\) | −6.91794 | + | 11.9822i | −0.804194 | + | 1.39291i | ||||
\(75\) | −0.0501666 | − | 0.0868912i | −0.00579274 | − | 0.0100333i | ||||
\(76\) | −29.0858 | −3.33637 | ||||||||
\(77\) | −2.63409 | − | 0.248083i | −0.300183 | − | 0.0282717i | ||||
\(78\) | −5.84111 | −0.661376 | ||||||||
\(79\) | −2.31574 | − | 4.01098i | −0.260541 | − | 0.451270i | 0.705845 | − | 0.708366i | \(-0.250568\pi\) |
−0.966386 | + | 0.257096i | \(0.917234\pi\) | |||||||
\(80\) | −5.80660 | + | 10.0573i | −0.649198 | + | 1.12444i | ||||
\(81\) | −2.33850 | + | 4.05039i | −0.259833 | + | 0.450044i | ||||
\(82\) | −14.0110 | − | 24.2678i | −1.54726 | − | 2.67993i | ||||
\(83\) | −1.93621 | −0.212527 | −0.106263 | − | 0.994338i | \(-0.533889\pi\) | ||||
−0.106263 | + | 0.994338i | \(0.533889\pi\) | |||||||
\(84\) | 4.59568 | − | 6.47145i | 0.501430 | − | 0.706093i | ||||
\(85\) | 3.28646 | 0.356467 | ||||||||
\(86\) | 6.56117 | + | 11.3643i | 0.707509 | + | 1.22544i | ||||
\(87\) | −0.588580 | + | 1.01945i | −0.0631024 | + | 0.109297i | ||||
\(88\) | −2.74543 | + | 4.75523i | −0.292664 | + | 0.506909i | ||||
\(89\) | −1.60220 | − | 2.77509i | −0.169833 | − | 0.294159i | 0.768528 | − | 0.639816i | \(-0.220989\pi\) |
−0.938361 | + | 0.345657i | \(0.887656\pi\) | |||||||
\(90\) | 13.6770 | 1.44168 | ||||||||
\(91\) | 3.62234 | + | 7.90471i | 0.379725 | + | 0.828639i | ||||
\(92\) | 27.2902 | 2.84520 | ||||||||
\(93\) | −0.838496 | − | 1.45232i | −0.0869480 | − | 0.150598i | ||||
\(94\) | 1.85677 | − | 3.21602i | 0.191511 | − | 0.331707i | ||||
\(95\) | 7.62496 | − | 13.2068i | 0.782304 | − | 1.35499i | ||||
\(96\) | −0.763705 | − | 1.32278i | −0.0779453 | − | 0.135005i | ||||
\(97\) | 1.85939 | 0.188792 | 0.0943960 | − | 0.995535i | \(-0.469908\pi\) | ||||
0.0943960 | + | 0.995535i | \(0.469908\pi\) | |||||||
\(98\) | −17.1294 | − | 3.25544i | −1.73034 | − | 0.328849i | ||||
\(99\) | 2.49086 | 0.250341 | ||||||||
\(100\) | 0.295598 | + | 0.511992i | 0.0295598 | + | 0.0511992i | ||||
\(101\) | −3.02276 | + | 5.23557i | −0.300776 | + | 0.520959i | −0.976312 | − | 0.216368i | \(-0.930579\pi\) |
0.675536 | + | 0.737327i | \(0.263912\pi\) | |||||||
\(102\) | −1.32488 | + | 2.29475i | −0.131182 | + | 0.227214i | ||||
\(103\) | 0.531894 | + | 0.921267i | 0.0524091 | + | 0.0907752i | 0.891040 | − | 0.453925i | \(-0.149977\pi\) |
−0.838631 | + | 0.544700i | \(0.816643\pi\) | |||||||
\(104\) | 18.0455 | 1.76951 | ||||||||
\(105\) | 1.73368 | + | 3.78325i | 0.169190 | + | 0.369208i | ||||
\(106\) | −0.759053 | −0.0737257 | ||||||||
\(107\) | 3.16599 | + | 5.48365i | 0.306068 | + | 0.530125i | 0.977498 | − | 0.210943i | \(-0.0676533\pi\) |
−0.671431 | + | 0.741067i | \(0.734320\pi\) | |||||||
\(108\) | −8.23630 | + | 14.2657i | −0.792538 | + | 1.37272i | ||||
\(109\) | 1.40694 | − | 2.43688i | 0.134760 | − | 0.233411i | −0.790746 | − | 0.612145i | \(-0.790307\pi\) |
0.925506 | + | 0.378734i | \(0.123640\pi\) | |||||||
\(110\) | −2.74543 | − | 4.75523i | −0.261767 | − | 0.453393i | ||||
\(111\) | 3.96345 | 0.376194 | ||||||||
\(112\) | −8.07031 | + | 11.3643i | −0.762572 | + | 1.07382i | ||||
\(113\) | −12.7538 | −1.19978 | −0.599889 | − | 0.800083i | \(-0.704789\pi\) | ||||
−0.599889 | + | 0.800083i | \(0.704789\pi\) | |||||||
\(114\) | 6.14772 | + | 10.6482i | 0.575786 | + | 0.997291i | ||||
\(115\) | −7.15423 | + | 12.3915i | −0.667136 | + | 1.15551i | ||||
\(116\) | 3.46811 | − | 6.00694i | 0.322006 | − | 0.557730i | ||||
\(117\) | −4.09306 | − | 7.08940i | −0.378404 | − | 0.655415i | ||||
\(118\) | 31.5311 | 2.90268 | ||||||||
\(119\) | 3.92708 | + | 0.369859i | 0.359994 | + | 0.0339049i | ||||
\(120\) | 8.63671 | 0.788420 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | −16.1679 | + | 28.0035i | −1.46377 | + | 2.53532i | ||||
\(123\) | −4.01362 | + | 6.95180i | −0.361896 | + | 0.626822i | ||||
\(124\) | 4.94070 | + | 8.55754i | 0.443688 | + | 0.768490i | ||||
\(125\) | −11.3320 | −1.01356 | ||||||||
\(126\) | 16.3430 | + | 1.53921i | 1.45595 | + | 0.137124i | ||||
\(127\) | −12.3775 | −1.09832 | −0.549162 | − | 0.835716i | \(-0.685053\pi\) | ||||
−0.549162 | + | 0.835716i | \(0.685053\pi\) | |||||||
\(128\) | −8.62234 | − | 14.9343i | −0.762114 | − | 1.32002i | ||||
\(129\) | 1.87953 | − | 3.25544i | 0.165483 | − | 0.286625i | ||||
\(130\) | −9.02276 | + | 15.6279i | −0.791348 | + | 1.37066i | ||||
\(131\) | −0.379526 | − | 0.657359i | −0.0331594 | − | 0.0574337i | 0.848969 | − | 0.528442i | \(-0.177224\pi\) |
−0.882129 | + | 0.471008i | \(0.843890\pi\) | |||||||
\(132\) | 3.00000 | 0.261116 | ||||||||
\(133\) | 10.5975 | − | 14.9230i | 0.918924 | − | 1.29399i | ||||
\(134\) | 11.3905 | 0.983992 | ||||||||
\(135\) | −4.31836 | − | 7.47961i | −0.371665 | − | 0.643742i | ||||
\(136\) | 4.09306 | − | 7.08940i | 0.350977 | − | 0.607911i | ||||
\(137\) | 2.92056 | − | 5.05855i | 0.249520 | − | 0.432181i | −0.713873 | − | 0.700275i | \(-0.753060\pi\) |
0.963393 | + | 0.268094i | \(0.0863938\pi\) | |||||||
\(138\) | −5.76819 | − | 9.99080i | −0.491021 | − | 0.850473i | ||||
\(139\) | −5.57292 | −0.472689 | −0.236345 | − | 0.971669i | \(-0.575949\pi\) | ||||
−0.236345 | + | 0.971669i | \(0.575949\pi\) | |||||||
\(140\) | −10.2154 | − | 22.2922i | −0.863359 | − | 1.88403i | ||||
\(141\) | −1.06379 | −0.0895871 | ||||||||
\(142\) | 14.1067 | + | 24.4335i | 1.18381 | + | 2.05041i | ||||
\(143\) | −1.64323 | + | 2.84616i | −0.137414 | + | 0.238008i | ||||
\(144\) | 6.56117 | − | 11.3643i | 0.546764 | − | 0.947023i | ||||
\(145\) | 1.81836 | + | 3.14948i | 0.151006 | + | 0.261550i | ||||
\(146\) | 21.3409 | 1.76619 | ||||||||
\(147\) | 1.64585 | + | 4.71581i | 0.135747 | + | 0.388953i | ||||
\(148\) | −23.3540 | −1.91969 | ||||||||
\(149\) | 0.500000 | + | 0.866025i | 0.0409616 | + | 0.0709476i | 0.885779 | − | 0.464107i | \(-0.153625\pi\) |
−0.844818 | + | 0.535054i | \(0.820291\pi\) | |||||||
\(150\) | 0.124958 | − | 0.216434i | 0.0102028 | − | 0.0176718i | ||||
\(151\) | −7.42056 | + | 12.8528i | −0.603876 | + | 1.04594i | 0.388352 | + | 0.921511i | \(0.373045\pi\) |
−0.992228 | + | 0.124433i | \(0.960289\pi\) | |||||||
\(152\) | −18.9927 | − | 32.8964i | −1.54051 | − | 2.66825i | ||||
\(153\) | −3.71354 | −0.300222 | ||||||||
\(154\) | −2.74543 | − | 5.99111i | −0.221233 | − | 0.482778i | ||||
\(155\) | −5.18089 | −0.416139 | ||||||||
\(156\) | −4.92969 | − | 8.53848i | −0.394691 | − | 0.683625i | ||||
\(157\) | −3.19527 | + | 5.53436i | −0.255010 | + | 0.441690i | −0.964898 | − | 0.262624i | \(-0.915412\pi\) |
0.709888 | + | 0.704314i | \(0.248745\pi\) | |||||||
\(158\) | 5.76819 | − | 9.99080i | 0.458893 | − | 0.794825i | ||||
\(159\) | 0.108720 | + | 0.188308i | 0.00862205 | + | 0.0149338i | ||||
\(160\) | −4.71877 | −0.373052 | ||||||||
\(161\) | −9.94331 | + | 14.0018i | −0.783643 | + | 1.10349i | ||||
\(162\) | −11.6498 | −0.915291 | ||||||||
\(163\) | −4.97259 | − | 8.61278i | −0.389483 | − | 0.674605i | 0.602897 | − | 0.797819i | \(-0.294013\pi\) |
−0.992380 | + | 0.123214i | \(0.960680\pi\) | |||||||
\(164\) | 23.6496 | − | 40.9623i | 1.84672 | − | 3.19862i | ||||
\(165\) | −0.786462 | + | 1.36219i | −0.0612260 | + | 0.106047i | ||||
\(166\) | −2.41142 | − | 4.17670i | −0.187163 | − | 0.324175i | ||||
\(167\) | −1.94145 | −0.150234 | −0.0751168 | − | 0.997175i | \(-0.523933\pi\) | ||||
−0.0751168 | + | 0.997175i | \(0.523933\pi\) | |||||||
\(168\) | 10.3202 | + | 0.971976i | 0.796223 | + | 0.0749896i | ||||
\(169\) | −2.19917 | −0.169167 | ||||||||
\(170\) | 4.09306 | + | 7.08940i | 0.313924 | + | 0.543732i | ||||
\(171\) | −8.61582 | + | 14.9230i | −0.658868 | + | 1.14119i | ||||
\(172\) | −11.0748 | + | 19.1821i | −0.844445 | + | 1.46262i | ||||
\(173\) | −3.21616 | − | 5.57054i | −0.244520 | − | 0.423521i | 0.717477 | − | 0.696582i | \(-0.245297\pi\) |
−0.961996 | + | 0.273062i | \(0.911964\pi\) | |||||||
\(174\) | −2.93214 | −0.222285 | ||||||||
\(175\) | −0.370390 | − | 0.0348840i | −0.0279989 | − | 0.00263698i | ||||
\(176\) | −5.26819 | −0.397105 | ||||||||
\(177\) | −4.51624 | − | 7.82235i | −0.339461 | − | 0.587964i | ||||
\(178\) | 3.99086 | − | 6.91238i | 0.299128 | − | 0.518105i | ||||
\(179\) | 1.79298 | − | 3.10553i | 0.134014 | − | 0.232119i | −0.791207 | − | 0.611549i | \(-0.790547\pi\) |
0.925220 | + | 0.379430i | \(0.123880\pi\) | |||||||
\(180\) | 11.5429 | + | 19.9929i | 0.860357 | + | 1.49018i | ||||
\(181\) | 12.2134 | 0.907813 | 0.453906 | − | 0.891049i | \(-0.350030\pi\) | ||||
0.453906 | + | 0.891049i | \(0.350030\pi\) | |||||||
\(182\) | −12.5403 | + | 17.6587i | −0.929547 | + | 1.30895i | ||||
\(183\) | 9.26295 | 0.684737 | ||||||||
\(184\) | 17.8202 | + | 30.8655i | 1.31372 | + | 2.27544i | ||||
\(185\) | 6.12234 | − | 10.6042i | 0.450123 | − | 0.779637i | ||||
\(186\) | 2.08858 | − | 3.61753i | 0.153142 | − | 0.265250i | ||||
\(187\) | 0.745432 | + | 1.29113i | 0.0545114 | + | 0.0944165i | ||||
\(188\) | 6.26819 | 0.457155 | ||||||||
\(189\) | −4.31836 | − | 9.42356i | −0.314114 | − | 0.685463i | ||||
\(190\) | 37.9855 | 2.75576 | ||||||||
\(191\) | −6.05465 | − | 10.4870i | −0.438099 | − | 0.758810i | 0.559444 | − | 0.828868i | \(-0.311015\pi\) |
−0.997543 | + | 0.0700583i | \(0.977681\pi\) | |||||||
\(192\) | −1.85677 | + | 3.21602i | −0.134001 | + | 0.232096i | ||||
\(193\) | 5.96997 | − | 10.3403i | 0.429728 | − | 0.744311i | −0.567121 | − | 0.823635i | \(-0.691943\pi\) |
0.996849 | + | 0.0793237i | \(0.0252761\pi\) | |||||||
\(194\) | 2.31574 | + | 4.01098i | 0.166260 | + | 0.287971i | ||||
\(195\) | 5.16936 | 0.370185 | ||||||||
\(196\) | −9.69788 | − | 27.7871i | −0.692706 | − | 1.98479i | ||||
\(197\) | 12.1626 | 0.866551 | 0.433275 | − | 0.901262i | \(-0.357358\pi\) | ||||
0.433275 | + | 0.901262i | \(0.357358\pi\) | |||||||
\(198\) | 3.10220 | + | 5.37317i | 0.220464 | + | 0.381855i | ||||
\(199\) | −0.952451 | + | 1.64969i | −0.0675174 | + | 0.116944i | −0.897808 | − | 0.440387i | \(-0.854841\pi\) |
0.830290 | + | 0.557331i | \(0.188174\pi\) | |||||||
\(200\) | −0.386046 | + | 0.668651i | −0.0272975 | + | 0.0472807i | ||||
\(201\) | −1.63148 | − | 2.82580i | −0.115076 | − | 0.199317i | ||||
\(202\) | −15.0586 | −1.05952 | ||||||||
\(203\) | 1.81836 | + | 3.96804i | 0.127624 | + | 0.278502i | ||||
\(204\) | −4.47259 | −0.313144 | ||||||||
\(205\) | 12.3997 | + | 21.4769i | 0.866030 | + | 1.50001i | ||||
\(206\) | −1.32488 | + | 2.29475i | −0.0923084 | + | 0.159883i | ||||
\(207\) | 8.08393 | − | 14.0018i | 0.561872 | − | 0.973191i | ||||
\(208\) | 8.65685 | + | 14.9941i | 0.600245 | + | 1.03965i | ||||
\(209\) | 6.91794 | 0.478524 | ||||||||
\(210\) | −6.00187 | + | 8.45159i | −0.414168 | + | 0.583215i | ||||
\(211\) | −16.2447 | −1.11833 | −0.559165 | − | 0.829056i | \(-0.688878\pi\) | ||||
−0.559165 | + | 0.829056i | \(0.688878\pi\) | |||||||
\(212\) | −0.640614 | − | 1.10958i | −0.0439975 | − | 0.0762060i | ||||
\(213\) | 4.04103 | − | 6.99927i | 0.276887 | − | 0.479582i | ||||
\(214\) | −7.88605 | + | 13.6590i | −0.539079 | + | 0.933712i | ||||
\(215\) | −5.80660 | − | 10.0573i | −0.396007 | − | 0.685904i | ||||
\(216\) | −21.5129 | −1.46377 | ||||||||
\(217\) | −6.19078 | − | 0.583058i | −0.420258 | − | 0.0395806i | ||||
\(218\) | 7.00897 | 0.474707 | ||||||||
\(219\) | −3.05669 | − | 5.29434i | −0.206552 | − | 0.357758i | ||||
\(220\) | 4.63409 | − | 8.02649i | 0.312431 | − | 0.541146i | ||||
\(221\) | 2.44983 | − | 4.24324i | 0.164794 | − | 0.285431i | ||||
\(222\) | 4.93621 | + | 8.54977i | 0.331297 | + | 0.573823i | ||||
\(223\) | 3.03655 | 0.203342 | 0.101671 | − | 0.994818i | \(-0.467581\pi\) | ||||
0.101671 | + | 0.994818i | \(0.467581\pi\) | |||||||
\(224\) | −5.63858 | − | 0.531051i | −0.376743 | − | 0.0354823i | ||||
\(225\) | 0.350250 | 0.0233500 | ||||||||
\(226\) | −15.8840 | − | 27.5119i | −1.05659 | − | 1.83007i | ||||
\(227\) | −9.22454 | + | 15.9774i | −0.612254 | + | 1.06046i | 0.378605 | + | 0.925558i | \(0.376404\pi\) |
−0.990860 | + | 0.134897i | \(0.956930\pi\) | |||||||
\(228\) | −10.3769 | + | 17.9733i | −0.687228 | + | 1.19031i | ||||
\(229\) | 12.7499 | + | 22.0835i | 0.842538 | + | 1.45932i | 0.887742 | + | 0.460341i | \(0.152273\pi\) |
−0.0452039 | + | 0.998978i | \(0.514394\pi\) | |||||||
\(230\) | −35.6404 | −2.35006 | ||||||||
\(231\) | −1.09306 | + | 1.53921i | −0.0719184 | + | 0.101273i | ||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | −1.90880 | − | 3.30614i | −0.125050 | − | 0.216593i | 0.796703 | − | 0.604372i | \(-0.206576\pi\) |
−0.921752 | + | 0.387779i | \(0.873242\pi\) | |||||||
\(234\) | 10.1953 | − | 17.6587i | 0.666485 | − | 1.15439i | ||||
\(235\) | −1.64323 | + | 2.84616i | −0.107193 | + | 0.185663i | ||||
\(236\) | 26.6112 | + | 46.0919i | 1.73224 | + | 3.00033i | ||||
\(237\) | −3.30473 | −0.214666 | ||||||||
\(238\) | 4.09306 | + | 8.93193i | 0.265314 | + | 0.578971i | ||||
\(239\) | 13.0037 | 0.841142 | 0.420571 | − | 0.907260i | \(-0.361830\pi\) | ||||
0.420571 | + | 0.907260i | \(0.361830\pi\) | |||||||
\(240\) | 4.14323 | + | 7.17629i | 0.267444 | + | 0.463227i | ||||
\(241\) | 0.225292 | − | 0.390216i | 0.0145123 | − | 0.0251360i | −0.858678 | − | 0.512515i | \(-0.828714\pi\) |
0.873190 | + | 0.487379i | \(0.162047\pi\) | |||||||
\(242\) | 1.24543 | − | 2.15715i | 0.0800594 | − | 0.138667i | ||||
\(243\) | 7.54551 | + | 13.0692i | 0.484045 | + | 0.838391i | ||||
\(244\) | −54.5804 | −3.49415 | ||||||||
\(245\) | 15.1595 | + | 2.88104i | 0.968503 | + | 0.184063i | ||||
\(246\) | −19.9948 | −1.27482 | ||||||||
\(247\) | −11.3678 | − | 19.6896i | −0.723314 | − | 1.25282i | ||||
\(248\) | −6.45245 | + | 11.1760i | −0.409731 | + | 0.709675i | ||||
\(249\) | −0.690780 | + | 1.19647i | −0.0437764 | + | 0.0758230i | ||||
\(250\) | −14.1132 | − | 24.4448i | −0.892597 | − | 1.54602i | ||||
\(251\) | 1.11861 | 0.0706058 | 0.0353029 | − | 0.999377i | \(-0.488760\pi\) | ||||
0.0353029 | + | 0.999377i | \(0.488760\pi\) | |||||||
\(252\) | 11.5429 | + | 25.1890i | 0.727134 | + | 1.58676i | ||||
\(253\) | −6.49086 | −0.408077 | ||||||||
\(254\) | −15.4153 | − | 26.7001i | −0.967243 | − | 1.67531i | ||||
\(255\) | 1.17251 | − | 2.03084i | 0.0734253 | − | 0.127176i | ||||
\(256\) | 16.2727 | − | 28.1851i | 1.01704 | − | 1.76157i | ||||
\(257\) | 11.4198 | + | 19.7797i | 0.712348 | + | 1.23382i | 0.963974 | + | 0.265998i | \(0.0857015\pi\) |
−0.251626 | + | 0.967825i | \(0.580965\pi\) | |||||||
\(258\) | 9.36329 | 0.582933 | ||||||||
\(259\) | 8.50914 | − | 11.9822i | 0.528732 | − | 0.744539i | ||||
\(260\) | −30.4596 | −1.88902 | ||||||||
\(261\) | −2.05465 | − | 3.55876i | −0.127180 | − | 0.220282i | ||||
\(262\) | 0.945349 | − | 1.63739i | 0.0584038 | − | 0.101158i | ||||
\(263\) | 4.59568 | − | 7.95995i | 0.283382 | − | 0.490832i | −0.688834 | − | 0.724919i | \(-0.741877\pi\) |
0.972215 | + | 0.234088i | \(0.0752103\pi\) | |||||||
\(264\) | 1.95897 | + | 3.39304i | 0.120566 | + | 0.208827i | ||||
\(265\) | 0.671758 | 0.0412658 | ||||||||
\(266\) | 45.3898 | + | 4.27489i | 2.78303 | + | 0.262110i | ||||
\(267\) | −2.28646 | −0.139929 | ||||||||
\(268\) | 9.61320 | + | 16.6506i | 0.587220 | + | 1.01709i | ||||
\(269\) | 7.80660 | − | 13.5214i | 0.475977 | − | 0.824416i | −0.523644 | − | 0.851937i | \(-0.675428\pi\) |
0.999621 | + | 0.0275208i | \(0.00876123\pi\) | |||||||
\(270\) | 10.7564 | − | 18.6307i | 0.654616 | − | 1.13383i | ||||
\(271\) | −13.8723 | − | 24.0275i | −0.842680 | − | 1.45956i | −0.887621 | − | 0.460574i | \(-0.847643\pi\) |
0.0449415 | − | 0.998990i | \(-0.485690\pi\) | |||||||
\(272\) | 7.85415 | 0.476228 | ||||||||
\(273\) | 6.17699 | + | 0.581759i | 0.373849 | + | 0.0352097i | ||||
\(274\) | 14.5494 | 0.878962 | ||||||||
\(275\) | −0.0703069 | − | 0.121775i | −0.00423967 | − | 0.00734332i | ||||
\(276\) | 9.73630 | − | 16.8638i | 0.586056 | − | 1.01508i | ||||
\(277\) | −7.40619 | + | 12.8279i | −0.444995 | + | 0.770753i | −0.998052 | − | 0.0623900i | \(-0.980128\pi\) |
0.553057 | + | 0.833143i | \(0.313461\pi\) | |||||||
\(278\) | −6.94070 | − | 12.0216i | −0.416275 | − | 0.721010i | ||||
\(279\) | 5.85415 | 0.350479 | ||||||||
\(280\) | 18.5421 | − | 26.1103i | 1.10811 | − | 1.56039i | ||||
\(281\) | 15.2227 | 0.908109 | 0.454054 | − | 0.890974i | \(-0.349977\pi\) | ||||
0.454054 | + | 0.890974i | \(0.349977\pi\) | |||||||
\(282\) | −1.32488 | − | 2.29475i | −0.0788952 | − | 0.136650i | ||||
\(283\) | −10.8586 | + | 18.8077i | −0.645479 | + | 1.11800i | 0.338712 | + | 0.940890i | \(0.390009\pi\) |
−0.984191 | + | 0.177112i | \(0.943324\pi\) | |||||||
\(284\) | −23.8111 | + | 41.2420i | −1.41293 | + | 2.44726i | ||||
\(285\) | −5.44070 | − | 9.42356i | −0.322279 | − | 0.558204i | ||||
\(286\) | −8.18613 | −0.484056 | ||||||||
\(287\) | 12.3997 | + | 27.0587i | 0.731929 | + | 1.59722i | ||||
\(288\) | 5.33198 | 0.314190 | ||||||||
\(289\) | 7.38866 | + | 12.7975i | 0.434627 | + | 0.752796i | ||||
\(290\) | −4.52928 | + | 7.84494i | −0.265968 | + | 0.460671i | ||||
\(291\) | 0.663371 | − | 1.14899i | 0.0388875 | − | 0.0673551i | ||||
\(292\) | 18.0110 | + | 31.1960i | 1.05401 | + | 1.82561i | ||||
\(293\) | 11.1276 | 0.650080 | 0.325040 | − | 0.945700i | \(-0.394622\pi\) | ||||
0.325040 | + | 0.945700i | \(0.394622\pi\) | |||||||
\(294\) | −8.12292 | + | 9.42356i | −0.473739 | + | 0.549593i | ||||
\(295\) | −27.9049 | −1.62469 | ||||||||
\(296\) | −15.2499 | − | 26.4136i | −0.886383 | − | 1.53526i | ||||
\(297\) | 1.95897 | − | 3.39304i | 0.113671 | − | 0.196884i | ||||
\(298\) | −1.24543 | + | 2.15715i | −0.0721459 | + | 0.124960i | ||||
\(299\) | 10.6660 | + | 18.4740i | 0.616830 | + | 1.06838i | ||||
\(300\) | 0.421841 | 0.0243550 | ||||||||
\(301\) | −5.80660 | − | 12.6712i | −0.334687 | − | 0.730358i | ||||
\(302\) | −36.9672 | −2.12722 | ||||||||
\(303\) | 2.15685 | + | 3.73578i | 0.123908 | + | 0.214615i | ||||
\(304\) | 18.2225 | − | 31.5623i | 1.04513 | − | 1.81022i | ||||
\(305\) | 14.3085 | − | 24.7830i | 0.819301 | − | 1.41907i | ||||
\(306\) | −4.62496 | − | 8.01066i | −0.264391 | − | 0.457939i | ||||
\(307\) | 24.9855 | 1.42600 | 0.712998 | − | 0.701166i | \(-0.247337\pi\) | ||||
0.712998 | + | 0.701166i | \(0.247337\pi\) | |||||||
\(308\) | 6.44070 | − | 9.06953i | 0.366993 | − | 0.516784i | ||||
\(309\) | 0.759053 | 0.0431810 | ||||||||
\(310\) | −6.45245 | − | 11.1760i | −0.366475 | − | 0.634753i | ||||
\(311\) | −17.3704 | + | 30.0864i | −0.984984 | + | 1.70604i | −0.342979 | + | 0.939343i | \(0.611436\pi\) |
−0.642005 | + | 0.766700i | \(0.721897\pi\) | |||||||
\(312\) | 6.43808 | − | 11.1511i | 0.364484 | − | 0.631306i | ||||
\(313\) | −11.8547 | − | 20.5330i | −0.670069 | − | 1.16059i | −0.977884 | − | 0.209148i | \(-0.932931\pi\) |
0.307815 | − | 0.951446i | \(-0.400402\pi\) | |||||||
\(314\) | −15.9179 | −0.898301 | ||||||||
\(315\) | −14.4635 | − | 1.36219i | −0.814923 | − | 0.0767508i | ||||
\(316\) | 19.4726 | 1.09542 | ||||||||
\(317\) | −9.83850 | − | 17.0408i | −0.552585 | − | 0.957105i | −0.998087 | − | 0.0618244i | \(-0.980308\pi\) |
0.445502 | − | 0.895281i | \(-0.353025\pi\) | |||||||
\(318\) | −0.270807 | + | 0.469051i | −0.0151861 | + | 0.0263031i | ||||
\(319\) | −0.824875 | + | 1.42873i | −0.0461841 | + | 0.0799933i | ||||
\(320\) | 5.73630 | + | 9.93556i | 0.320669 | + | 0.555414i | ||||
\(321\) | 4.51811 | 0.252176 | ||||||||
\(322\) | −42.5877 | − | 4.01098i | −2.37332 | − | 0.223523i | ||||
\(323\) | −10.3137 | −0.573870 | ||||||||
\(324\) | −9.83198 | − | 17.0295i | −0.546221 | − | 0.946082i | ||||
\(325\) | −0.231061 | + | 0.400209i | −0.0128170 | + | 0.0221996i | ||||
\(326\) | 12.3860 | − | 21.4533i | 0.686000 | − | 1.18819i | ||||
\(327\) | −1.00390 | − | 1.73881i | −0.0555159 | − | 0.0961564i | ||||
\(328\) | 61.7718 | 3.41077 | ||||||||
\(329\) | −2.28384 | + | 3.21602i | −0.125912 | + | 0.177305i | ||||
\(330\) | −3.91794 | −0.215675 | ||||||||
\(331\) | 14.0949 | + | 24.4131i | 0.774728 | + | 1.34187i | 0.934947 | + | 0.354786i | \(0.115446\pi\) |
−0.160220 | + | 0.987081i | \(0.551220\pi\) | |||||||
\(332\) | 4.07031 | − | 7.04998i | 0.223387 | − | 0.386918i | ||||
\(333\) | −6.91794 | + | 11.9822i | −0.379101 | + | 0.656622i | ||||
\(334\) | −2.41794 | − | 4.18799i | −0.132304 | − | 0.229157i | ||||
\(335\) | −10.0806 | −0.550760 | ||||||||
\(336\) | 4.14323 | + | 9.04140i | 0.226032 | + | 0.493249i | ||||
\(337\) | 21.7460 | 1.18458 | 0.592290 | − | 0.805725i | \(-0.298224\pi\) | ||||
0.592290 | + | 0.805725i | \(0.298224\pi\) | |||||||
\(338\) | −2.73891 | − | 4.74394i | −0.148977 | − | 0.258036i | ||||
\(339\) | −4.55017 | + | 7.88112i | −0.247131 | + | 0.428044i | ||||
\(340\) | −6.90880 | + | 11.9664i | −0.374682 | + | 0.648969i | ||||
\(341\) | −1.17512 | − | 2.03538i | −0.0636366 | − | 0.110222i | ||||
\(342\) | −42.9217 | −2.32094 | ||||||||
\(343\) | 17.7902 | + | 5.14868i | 0.960580 | + | 0.278003i | ||||
\(344\) | −28.9269 | −1.55963 | ||||||||
\(345\) | 5.10482 | + | 8.84180i | 0.274834 | + | 0.476027i | ||||
\(346\) | 8.01100 | − | 13.8755i | 0.430674 | − | 0.745950i | ||||
\(347\) | 1.97072 | − | 3.41339i | 0.105794 | − | 0.183241i | −0.808268 | − | 0.588814i | \(-0.799595\pi\) |
0.914062 | + | 0.405574i | \(0.132928\pi\) | |||||||
\(348\) | −2.47463 | − | 4.28618i | −0.132654 | − | 0.229763i | ||||
\(349\) | −14.1093 | −0.755254 | −0.377627 | − | 0.925958i | \(-0.623260\pi\) | ||||
−0.377627 | + | 0.925958i | \(0.623260\pi\) | |||||||
\(350\) | −0.386046 | − | 0.842433i | −0.0206350 | − | 0.0450299i | ||||
\(351\) | −12.8762 | −0.687279 | ||||||||
\(352\) | −1.07031 | − | 1.85383i | −0.0570475 | − | 0.0988093i | ||||
\(353\) | 2.48434 | − | 4.30301i | 0.132228 | − | 0.229026i | −0.792307 | − | 0.610123i | \(-0.791120\pi\) |
0.924535 | + | 0.381097i | \(0.124453\pi\) | |||||||
\(354\) | 11.2493 | − | 19.4844i | 0.597895 | − | 1.03559i | ||||
\(355\) | −12.4843 | − | 21.6235i | −0.662600 | − | 1.14766i | ||||
\(356\) | 13.4726 | 0.714046 | ||||||||
\(357\) | 1.62961 | − | 2.29475i | 0.0862481 | − | 0.121451i | ||||
\(358\) | 8.93214 | 0.472078 | ||||||||
\(359\) | 2.03580 | + | 3.52610i | 0.107445 | + | 0.186101i | 0.914735 | − | 0.404055i | \(-0.132400\pi\) |
−0.807289 | + | 0.590156i | \(0.799066\pi\) | |||||||
\(360\) | −15.0748 | + | 26.1103i | −0.794511 | + | 1.37613i | ||||
\(361\) | −14.4289 | + | 24.9917i | −0.759418 | + | 1.31535i | ||||
\(362\) | 15.2109 | + | 26.3461i | 0.799468 | + | 1.38472i | ||||
\(363\) | −0.713538 | −0.0374510 | ||||||||
\(364\) | −36.3969 | − | 3.42792i | −1.90772 | − | 0.179672i | ||||
\(365\) | −18.8866 | −0.988571 | ||||||||
\(366\) | 11.5364 | + | 19.9816i | 0.603016 | + | 1.04445i | ||||
\(367\) | 9.01100 | − | 15.6075i | 0.470371 | − | 0.814706i | −0.529055 | − | 0.848587i | \(-0.677454\pi\) |
0.999426 | + | 0.0338816i | \(0.0107869\pi\) | |||||||
\(368\) | −17.0975 | + | 29.6138i | −0.891271 | + | 1.54373i | ||||
\(369\) | −14.0110 | − | 24.2678i | −0.729384 | − | 1.26333i | ||||
\(370\) | 30.4998 | 1.58561 | ||||||||
\(371\) | 0.802700 | + | 0.0755997i | 0.0416741 | + | 0.00392494i | ||||
\(372\) | 7.05075 | 0.365564 | ||||||||
\(373\) | −14.4582 | − | 25.0424i | −0.748618 | − | 1.29664i | −0.948485 | − | 0.316822i | \(-0.897384\pi\) |
0.199867 | − | 0.979823i | \(-0.435949\pi\) | |||||||
\(374\) | −1.85677 | + | 3.21602i | −0.0960112 | + | 0.166296i | ||||
\(375\) | −4.04290 | + | 7.00250i | −0.208774 | + | 0.361608i | ||||
\(376\) | 4.09306 | + | 7.08940i | 0.211084 | + | 0.365608i | ||||
\(377\) | 5.42184 | 0.279239 | ||||||||
\(378\) | 14.9498 | − | 21.0518i | 0.768936 | − | 1.08279i | ||||
\(379\) | 4.30847 | 0.221311 | 0.110656 | − | 0.993859i | \(-0.464705\pi\) | ||||
0.110656 | + | 0.993859i | \(0.464705\pi\) | |||||||
\(380\) | 32.0584 | + | 55.5268i | 1.64456 | + | 2.84846i | ||||
\(381\) | −4.41591 | + | 7.64857i | −0.226234 | + | 0.391848i | ||||
\(382\) | 15.0813 | − | 26.1216i | 0.771627 | − | 1.33650i | ||||
\(383\) | 6.17438 | + | 10.6943i | 0.315496 | + | 0.546455i | 0.979543 | − | 0.201236i | \(-0.0644958\pi\) |
−0.664047 | + | 0.747691i | \(0.731163\pi\) | |||||||
\(384\) | −12.3047 | −0.627923 | ||||||||
\(385\) | 2.42969 | + | 5.30210i | 0.123829 | + | 0.270220i | ||||
\(386\) | 29.7408 | 1.51377 | ||||||||
\(387\) | 6.56117 | + | 11.3643i | 0.333523 | + | 0.577679i | ||||
\(388\) | −3.90880 | + | 6.77025i | −0.198439 | + | 0.343707i | ||||
\(389\) | −14.7115 | + | 25.4811i | −0.745903 | + | 1.29194i | 0.203869 | + | 0.978998i | \(0.434648\pi\) |
−0.949772 | + | 0.312943i | \(0.898685\pi\) | |||||||
\(390\) | 6.43808 | + | 11.1511i | 0.326005 | + | 0.564657i | ||||
\(391\) | 9.67699 | 0.489387 | ||||||||
\(392\) | 25.0949 | − | 29.1131i | 1.26749 | − | 1.47043i | ||||
\(393\) | −0.541613 | −0.0273208 | ||||||||
\(394\) | 15.1477 | + | 26.2366i | 0.763131 | + | 1.32178i | ||||
\(395\) | −5.10482 | + | 8.84180i | −0.256851 | + | 0.444879i | ||||
\(396\) | −5.23630 | + | 9.06953i | −0.263134 | + | 0.455761i | ||||
\(397\) | 8.64975 | + | 14.9818i | 0.434119 | + | 0.751915i | 0.997223 | − | 0.0744702i | \(-0.0237266\pi\) |
−0.563105 | + | 0.826386i | \(0.690393\pi\) | |||||||
\(398\) | −4.74485 | −0.237838 | ||||||||
\(399\) | −5.44070 | − | 11.8727i | −0.272376 | − | 0.594381i | ||||
\(400\) | −0.740780 | −0.0370390 | ||||||||
\(401\) | 12.4752 | + | 21.6077i | 0.622982 | + | 1.07904i | 0.988927 | + | 0.148400i | \(0.0474124\pi\) |
−0.365945 | + | 0.930636i | \(0.619254\pi\) | |||||||
\(402\) | 4.06379 | − | 7.03869i | 0.202683 | − | 0.351058i | ||||
\(403\) | −3.86200 | + | 6.68919i | −0.192380 | + | 0.333212i | ||||
\(404\) | −12.7089 | − | 22.0124i | −0.632291 | − | 1.09516i | ||||
\(405\) | 10.3100 | 0.512306 | ||||||||
\(406\) | −6.29502 | + | 8.86439i | −0.312416 | + | 0.439932i | ||||
\(407\) | 5.55465 | 0.275334 | ||||||||
\(408\) | −2.92056 | − | 5.05855i | −0.144589 | − | 0.250436i | ||||
\(409\) | 19.2792 | − | 33.3925i | 0.953295 | − | 1.65115i | 0.215072 | − | 0.976598i | \(-0.431001\pi\) |
0.738223 | − | 0.674557i | \(-0.235665\pi\) | |||||||
\(410\) | −30.8859 | + | 53.4959i | −1.52534 | + | 2.64197i | ||||
\(411\) | −2.08393 | − | 3.60947i | −0.102793 | − | 0.178042i | ||||
\(412\) | −4.47259 | −0.220349 | ||||||||
\(413\) | −33.3443 | − | 3.14042i | −1.64076 | − | 0.154530i | ||||
\(414\) | 40.2719 | 1.97926 | ||||||||
\(415\) | 2.13409 | + | 3.69636i | 0.104759 | + | 0.181447i | ||||
\(416\) | −3.51752 | + | 6.09253i | −0.172461 | + | 0.298711i | ||||
\(417\) | −1.98825 | + | 3.44374i | −0.0973648 | + | 0.168641i | ||||
\(418\) | 8.61582 | + | 14.9230i | 0.421414 | + | 0.729910i | ||||
\(419\) | 0.908970 | 0.0444061 | 0.0222030 | − | 0.999753i | \(-0.492932\pi\) | ||||
0.0222030 | + | 0.999753i | \(0.492932\pi\) | |||||||
\(420\) | −17.4198 | − | 1.64063i | −0.850000 | − | 0.0800544i | ||||
\(421\) | 15.5532 | 0.758014 | 0.379007 | − | 0.925394i | \(-0.376266\pi\) | ||||
0.379007 | + | 0.925394i | \(0.376266\pi\) | |||||||
\(422\) | −20.2316 | − | 35.0422i | −0.984861 | − | 1.70583i | ||||
\(423\) | 1.85677 | − | 3.21602i | 0.0902792 | − | 0.156368i | ||||
\(424\) | 0.836629 | − | 1.44908i | 0.0406303 | − | 0.0703737i | ||||
\(425\) | 0.104818 | + | 0.181550i | 0.00508442 | + | 0.00880647i | ||||
\(426\) | 20.1313 | 0.975365 | ||||||||
\(427\) | 19.8866 | − | 28.0035i | 0.962381 | − | 1.35519i | ||||
\(428\) | −26.6222 | −1.28683 | ||||||||
\(429\) | 1.17251 | + | 2.03084i | 0.0566092 | + | 0.0980500i | ||||
\(430\) | 14.4635 | − | 25.0514i | 0.697490 | − | 1.20809i | ||||
\(431\) | −1.76819 | + | 3.06259i | −0.0851707 | + | 0.147520i | −0.905464 | − | 0.424423i | \(-0.860477\pi\) |
0.820293 | + | 0.571943i | \(0.193810\pi\) | |||||||
\(432\) | −10.3202 | − | 17.8752i | −0.496532 | − | 0.860019i | ||||
\(433\) | 17.6457 | 0.847997 | 0.423999 | − | 0.905663i | \(-0.360626\pi\) | ||||
0.423999 | + | 0.905663i | \(0.360626\pi\) | |||||||
\(434\) | −6.45245 | − | 14.0806i | −0.309728 | − | 0.675891i | ||||
\(435\) | 2.59493 | 0.124417 | ||||||||
\(436\) | 5.91532 | + | 10.2456i | 0.283293 | + | 0.490677i | ||||
\(437\) | 22.4517 | − | 38.8875i | 1.07401 | − | 1.86024i | ||||
\(438\) | 7.61379 | − | 13.1875i | 0.363801 | − | 0.630122i | ||||
\(439\) | −7.51362 | − | 13.0140i | −0.358606 | − | 0.621123i | 0.629123 | − | 0.777306i | \(-0.283414\pi\) |
−0.987728 | + | 0.156183i | \(0.950081\pi\) | |||||||
\(440\) | 12.1041 | 0.577039 | ||||||||
\(441\) | −17.1294 | − | 3.25544i | −0.815688 | − | 0.155021i | ||||
\(442\) | 12.2044 | 0.580504 | ||||||||
\(443\) | −6.61134 | − | 11.4512i | −0.314114 | − | 0.544062i | 0.665135 | − | 0.746723i | \(-0.268374\pi\) |
−0.979249 | + | 0.202662i | \(0.935041\pi\) | |||||||
\(444\) | −8.33198 | + | 14.4314i | −0.395418 | + | 0.684884i | ||||
\(445\) | −3.53189 | + | 6.11742i | −0.167428 | + | 0.289994i | ||||
\(446\) | 3.78181 | + | 6.55029i | 0.179074 | + | 0.310165i | ||||
\(447\) | 0.713538 | 0.0337492 | ||||||||
\(448\) | 5.73630 | + | 12.5178i | 0.271014 | + | 0.591411i | ||||
\(449\) | −9.90864 | −0.467617 | −0.233809 | − | 0.972283i | \(-0.575119\pi\) | ||||
−0.233809 | + | 0.972283i | \(0.575119\pi\) | |||||||
\(450\) | 0.436212 | + | 0.755542i | 0.0205632 | + | 0.0356166i | ||||
\(451\) | −5.62496 | + | 9.74271i | −0.264869 | + | 0.458766i | ||||
\(452\) | 26.8111 | − | 46.4382i | 1.26109 | − | 2.18427i | ||||
\(453\) | 5.29485 | + | 9.17095i | 0.248774 | + | 0.430889i | ||||
\(454\) | −45.9542 | −2.15674 | ||||||||
\(455\) | 11.0981 | − | 15.6279i | 0.520286 | − | 0.732646i | ||||
\(456\) | −27.1041 | −1.26926 | ||||||||
\(457\) | −5.17251 | − | 8.95905i | −0.241960 | − | 0.419087i | 0.719313 | − | 0.694686i | \(-0.244457\pi\) |
−0.961272 | + | 0.275600i | \(0.911124\pi\) | |||||||
\(458\) | −31.7583 | + | 55.0070i | −1.48397 | + | 2.57031i | ||||
\(459\) | −2.92056 | + | 5.05855i | −0.136320 | + | 0.236113i | ||||
\(460\) | −30.0793 | − | 52.0988i | −1.40245 | − | 2.42912i | ||||
\(461\) | −15.3372 | −0.714325 | −0.357163 | − | 0.934042i | \(-0.616256\pi\) | ||||
−0.357163 | + | 0.934042i | \(0.616256\pi\) | |||||||
\(462\) | −4.68164 | − | 0.440925i | −0.217810 | − | 0.0205137i | ||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | 4.34560 | + | 7.52680i | 0.201739 | + | 0.349423i | ||||
\(465\) | −1.84838 | + | 3.20149i | −0.0857167 | + | 0.148466i | ||||
\(466\) | 4.75457 | − | 8.23515i | 0.220251 | − | 0.381486i | ||||
\(467\) | 0.373007 | + | 0.646068i | 0.0172607 | + | 0.0298964i | 0.874527 | − | 0.484977i | \(-0.161172\pi\) |
−0.857266 | + | 0.514874i | \(0.827839\pi\) | |||||||
\(468\) | 34.4178 | 1.59096 | ||||||||
\(469\) | −12.0455 | − | 1.13447i | −0.556210 | − | 0.0523848i | ||||
\(470\) | −8.18613 | −0.377598 | ||||||||
\(471\) | 2.27994 | + | 3.94898i | 0.105054 | + | 0.181959i | ||||
\(472\) | −34.7537 | + | 60.1951i | −1.59967 | + | 2.77070i | ||||
\(473\) | 2.63409 | − | 4.56239i | 0.121116 | − | 0.209779i | ||||
\(474\) | −4.11582 | − | 7.12881i | −0.189046 | − | 0.327437i | ||||
\(475\) | 0.972758 | 0.0446332 | ||||||||
\(476\) | −9.60220 | + | 13.5214i | −0.440116 | + | 0.619754i | ||||
\(477\) | −0.759053 | −0.0347546 | ||||||||
\(478\) | 16.1953 | + | 28.0510i | 0.740754 | + | 1.28302i | ||||
\(479\) | 10.0565 | − | 17.4184i | 0.459494 | − | 0.795867i | −0.539440 | − | 0.842024i | \(-0.681364\pi\) |
0.998934 | + | 0.0461569i | \(0.0146974\pi\) | |||||||
\(480\) | −1.68351 | + | 2.91593i | −0.0768414 | + | 0.133093i | ||||
\(481\) | −9.12758 | − | 15.8094i | −0.416182 | − | 0.720848i | ||||
\(482\) | 1.12234 | 0.0511212 | ||||||||
\(483\) | 5.10482 | + | 11.1398i | 0.232277 | + | 0.506878i | ||||
\(484\) | 4.20440 | 0.191109 | ||||||||
\(485\) | −2.04942 | − | 3.54969i | −0.0930592 | − | 0.161183i | ||||
\(486\) | −18.7948 | + | 32.5536i | −0.852552 | + | 1.47666i | ||||
\(487\) | 2.12496 | − | 3.68054i | 0.0962911 | − | 0.166781i | −0.813856 | − | 0.581067i | \(-0.802635\pi\) |
0.910147 | + | 0.414286i | \(0.135969\pi\) | |||||||
\(488\) | −35.6404 | − | 61.7311i | −1.61337 | − | 2.79443i | ||||
\(489\) | −7.09626 | −0.320904 | ||||||||
\(490\) | 12.6652 | + | 36.2894i | 0.572157 | + | 1.63939i | ||||
\(491\) | 30.3279 | 1.36868 | 0.684340 | − | 0.729163i | \(-0.260091\pi\) | ||||
0.684340 | + | 0.729163i | \(0.260091\pi\) | |||||||
\(492\) | −16.8749 | − | 29.2281i | −0.760778 | − | 1.31771i | ||||
\(493\) | 1.22978 | − | 2.13003i | 0.0553863 | − | 0.0959320i | ||||
\(494\) | 28.3156 | − | 49.0440i | 1.27398 | − | 2.20659i | ||||
\(495\) | −2.74543 | − | 4.75523i | −0.123398 | − | 0.213732i | ||||
\(496\) | −12.3816 | −0.555948 | ||||||||
\(497\) | −12.4843 | − | 27.2435i | −0.559999 | − | 1.22204i | ||||
\(498\) | −3.44128 | −0.154207 | ||||||||
\(499\) | −7.22064 | − | 12.5065i | −0.323240 | − | 0.559869i | 0.657914 | − | 0.753093i | \(-0.271439\pi\) |
−0.981155 | + | 0.193224i | \(0.938106\pi\) | |||||||
\(500\) | 23.8221 | − | 41.2611i | 1.06536 | − | 1.84525i | ||||
\(501\) | −0.692648 | + | 1.19970i | −0.0309452 | + | 0.0535987i | ||||
\(502\) | 1.39315 | + | 2.41300i | 0.0621792 | + | 0.107698i | ||||
\(503\) | −2.95822 | −0.131901 | −0.0659503 | − | 0.997823i | \(-0.521008\pi\) | ||||
−0.0659503 | + | 0.997823i | \(0.521008\pi\) | |||||||
\(504\) | −20.9517 | + | 29.5033i | −0.933263 | + | 1.31418i | ||||
\(505\) | 13.3267 | 0.593032 | ||||||||
\(506\) | −8.08393 | − | 14.0018i | −0.359374 | − | 0.622455i | ||||
\(507\) | −0.784595 | + | 1.35896i | −0.0348451 | + | 0.0603534i | ||||
\(508\) | 26.0200 | − | 45.0679i | 1.15445 | − | 1.99957i | ||||
\(509\) | 12.4953 | + | 21.6426i | 0.553847 | + | 0.959290i | 0.997992 | + | 0.0633358i | \(0.0201739\pi\) |
−0.444146 | + | 0.895955i | \(0.646493\pi\) | |||||||
\(510\) | 5.84111 | 0.258649 | ||||||||
\(511\) | −22.5681 | − | 2.12550i | −0.998354 | − | 0.0940267i | ||||
\(512\) | 46.5767 | 2.05842 | ||||||||
\(513\) | 13.5520 | + | 23.4728i | 0.598337 | + | 1.03635i | ||||
\(514\) | −28.4452 | + | 49.2685i | −1.25466 | + | 2.17314i | ||||
\(515\) | 1.17251 | − | 2.03084i | 0.0516669 | − | 0.0894896i | ||||
\(516\) | 7.90228 | + | 13.6872i | 0.347879 | + | 0.602544i | ||||
\(517\) | −1.49086 | −0.0655681 | ||||||||
\(518\) | 36.4450 | + | 3.43245i | 1.60130 | + | 0.150813i | ||||
\(519\) | −4.58970 | −0.201465 | ||||||||
\(520\) | −19.8898 | − | 34.4501i | −0.872225 | − | 1.51074i | ||||
\(521\) | −14.4316 | + | 24.9962i | −0.632258 | + | 1.09510i | 0.354831 | + | 0.934931i | \(0.384538\pi\) |
−0.987089 | + | 0.160173i | \(0.948795\pi\) | |||||||
\(522\) | 5.11786 | − | 8.86439i | 0.224002 | − | 0.387984i | ||||
\(523\) | −0.236295 | − | 0.409276i | −0.0103325 | − | 0.0178964i | 0.860813 | − | 0.508921i | \(-0.169956\pi\) |
−0.871145 | + | 0.491025i | \(0.836622\pi\) | |||||||
\(524\) | 3.19136 | 0.139415 | ||||||||
\(525\) | −0.153700 | + | 0.216434i | −0.00670802 | + | 0.00944596i | ||||
\(526\) | 22.8944 | 0.998245 | ||||||||
\(527\) | 1.75195 | + | 3.03447i | 0.0763162 | + | 0.132184i | ||||
\(528\) | −1.87953 | + | 3.25544i | −0.0817959 | + | 0.141675i | ||||
\(529\) | −9.56566 | + | 16.5682i | −0.415898 | + | 0.720357i | ||||
\(530\) | 0.836629 | + | 1.44908i | 0.0363408 | + | 0.0629442i | ||||
\(531\) | 31.5311 | 1.36834 | ||||||||
\(532\) | 32.0584 | + | 69.9582i | 1.38991 | + | 3.03307i | ||||
\(533\) | 36.9724 | 1.60145 | ||||||||
\(534\) | −2.84763 | − | 4.93224i | −0.123229 | − | 0.213439i | ||||
\(535\) | 6.97911 | − | 12.0882i | 0.301733 | − | 0.522617i | ||||
\(536\) | −12.5547 | + | 21.7453i | −0.542278 | + | 0.939254i | ||||
\(537\) | −1.27936 | − | 2.21592i | −0.0552085 | − | 0.0956239i | ||||
\(538\) | 38.8904 | 1.67668 | ||||||||
\(539\) | 2.30660 | + | 6.60905i | 0.0993524 | + | 0.284672i | ||||
\(540\) | 36.3122 | 1.56263 | ||||||||
\(541\) | −7.72978 | − | 13.3884i | −0.332329 | − | 0.575611i | 0.650639 | − | 0.759387i | \(-0.274501\pi\) |
−0.982968 | + | 0.183776i | \(0.941168\pi\) | |||||||
\(542\) | 34.5539 | − | 59.8491i | 1.48422 | − | 2.57074i | ||||
\(543\) | 4.35735 | − | 7.54715i | 0.186992 | − | 0.323879i | ||||
\(544\) | 1.59568 | + | 2.76380i | 0.0684143 | + | 0.118497i | ||||
\(545\) | −6.20290 | −0.265703 | ||||||||
\(546\) | 6.43808 | + | 14.0492i | 0.275524 | + | 0.601252i | ||||
\(547\) | −35.0440 | −1.49837 | −0.749187 | − | 0.662359i | \(-0.769556\pi\) | ||||
−0.749187 | + | 0.662359i | \(0.769556\pi\) | |||||||
\(548\) | 12.2792 | + | 21.2682i | 0.524541 | + | 0.908532i | ||||
\(549\) | −16.1679 | + | 28.0035i | −0.690027 | + | 1.19516i | ||||
\(550\) | 0.175125 | − | 0.303325i | 0.00746735 | − | 0.0129338i | ||||
\(551\) | −5.70644 | − | 9.88384i | −0.243102 | − | 0.421066i | ||||
\(552\) | 25.4308 | 1.08241 | ||||||||
\(553\) | −7.09493 | + | 9.99080i | −0.301707 | + | 0.424852i | ||||
\(554\) | −36.8956 | −1.56754 | ||||||||
\(555\) | −4.36852 | − | 7.56650i | −0.185433 | − | 0.321180i | ||||
\(556\) | 11.7154 | − | 20.2917i | 0.496844 | − | 0.860559i | ||||
\(557\) | −5.26632 | + | 9.12154i | −0.223141 | + | 0.386492i | −0.955760 | − | 0.294147i | \(-0.904964\pi\) |
0.732619 | + | 0.680639i | \(0.238298\pi\) | |||||||
\(558\) | 7.29095 | + | 12.6283i | 0.308650 | + | 0.534598i | ||||
\(559\) | −17.3137 | −0.732292 | ||||||||
\(560\) | 30.5903 | + | 2.88104i | 1.29268 | + | 0.121746i | ||||
\(561\) | 1.06379 | 0.0449132 | ||||||||
\(562\) | 18.9588 | + | 32.8376i | 0.799729 | + | 1.38517i | ||||
\(563\) | 15.3574 | − | 26.5997i | 0.647235 | − | 1.12104i | −0.336545 | − | 0.941667i | \(-0.609258\pi\) |
0.983780 | − | 0.179377i | \(-0.0574082\pi\) | |||||||
\(564\) | 2.23630 | − | 3.87338i | 0.0941650 | − | 0.163099i | ||||
\(565\) | 14.0573 | + | 24.3479i | 0.591394 | + | 1.02432i | ||||
\(566\) | −54.0948 | −2.27377 | ||||||||
\(567\) | 12.3196 | + | 1.16028i | 0.517376 | + | 0.0487274i | ||||
\(568\) | −62.1936 | −2.60959 | ||||||||
\(569\) | 15.3860 | + | 26.6494i | 0.645017 | + | 1.11720i | 0.984298 | + | 0.176516i | \(0.0564829\pi\) |
−0.339281 | + | 0.940685i | \(0.610184\pi\) | |||||||
\(570\) | 13.5520 | − | 23.4728i | 0.567632 | − | 0.983168i | ||||
\(571\) | 3.75847 | − | 6.50986i | 0.157287 | − | 0.272429i | −0.776602 | − | 0.629991i | \(-0.783059\pi\) |
0.933889 | + | 0.357562i | \(0.116392\pi\) | |||||||
\(572\) | −6.90880 | − | 11.9664i | −0.288872 | − | 0.500340i | ||||
\(573\) | −8.64045 | −0.360960 | ||||||||
\(574\) | −42.9267 | + | 60.4477i | −1.79173 | + | 2.52304i | ||||
\(575\) | −0.912705 | −0.0380624 | ||||||||
\(576\) | −6.48173 | − | 11.2267i | −0.270072 | − | 0.467778i | ||||
\(577\) | −13.8092 | + | 23.9183i | −0.574885 | + | 0.995731i | 0.421169 | + | 0.906982i | \(0.361620\pi\) |
−0.996054 | + | 0.0887483i | \(0.971713\pi\) | |||||||
\(578\) | −18.4042 | + | 31.8769i | −0.765512 | + | 1.32591i | ||||
\(579\) | −4.25980 | − | 7.37819i | −0.177031 | − | 0.306627i | ||||
\(580\) | −15.2902 | −0.634891 | ||||||||
\(581\) | 2.13409 | + | 4.65704i | 0.0885372 | + | 0.193207i | ||||
\(582\) | 3.30473 | 0.136986 | ||||||||
\(583\) | 0.152367 | + | 0.263908i | 0.00631041 | + | 0.0109300i | ||||
\(584\) | −23.5220 | + | 40.7413i | −0.973348 | + | 1.68589i | ||||
\(585\) | −9.02276 | + | 15.6279i | −0.373045 | + | 0.646133i | ||||
\(586\) | 13.8586 | + | 24.0039i | 0.572495 | + | 0.991590i | ||||
\(587\) | −29.9582 | −1.23651 | −0.618254 | − | 0.785978i | \(-0.712160\pi\) | ||||
−0.618254 | + | 0.785978i | \(0.712160\pi\) | |||||||
\(588\) | −20.6307 | − | 3.92085i | −0.850797 | − | 0.161693i | ||||
\(589\) | 16.2589 | 0.669936 | ||||||||
\(590\) | −34.7537 | − | 60.1951i | −1.43079 | − | 2.47819i | ||||
\(591\) | 4.33925 | − | 7.51579i | 0.178493 | − | 0.309158i | ||||
\(592\) | 14.6315 | − | 25.3425i | 0.601350 | − | 1.04157i | ||||
\(593\) | −6.33401 | − | 10.9708i | −0.260107 | − | 0.450518i | 0.706163 | − | 0.708049i | \(-0.250424\pi\) |
−0.966270 | + | 0.257531i | \(0.917091\pi\) | |||||||
\(594\) | 9.75905 | 0.400419 | ||||||||
\(595\) | −3.62234 | − | 7.90471i | −0.148502 | − | 0.324062i | ||||
\(596\) | −4.20440 | −0.172219 | ||||||||
\(597\) | 0.679610 | + | 1.17712i | 0.0278146 | + | 0.0481762i | ||||
\(598\) | −26.5675 | + | 46.0163i | −1.08643 | + | 1.88175i | ||||
\(599\) | −0.647133 | + | 1.12087i | −0.0264411 | + | 0.0457974i | −0.878943 | − | 0.476926i | \(-0.841751\pi\) |
0.852502 | + | 0.522724i | \(0.175084\pi\) | |||||||
\(600\) | 0.275458 | + | 0.477108i | 0.0112455 | + | 0.0194778i | ||||
\(601\) | −41.0220 | −1.67332 | −0.836661 | − | 0.547721i | \(-0.815496\pi\) | ||||
−0.836661 | + | 0.547721i | \(0.815496\pi\) | |||||||
\(602\) | 20.1020 | − | 28.3069i | 0.819298 | − | 1.15370i | ||||
\(603\) | 11.3905 | 0.463858 | ||||||||
\(604\) | −31.1990 | − | 54.0383i | −1.26947 | − | 2.19879i | ||||
\(605\) | −1.10220 | + | 1.90907i | −0.0448108 | + | 0.0776146i | ||||
\(606\) | −5.37242 | + | 9.30531i | −0.218240 | + | 0.378002i | ||||
\(607\) | 10.5884 | + | 18.3397i | 0.429770 | + | 0.744384i | 0.996853 | − | 0.0792770i | \(-0.0252612\pi\) |
−0.567082 | + | 0.823661i | \(0.691928\pi\) | |||||||
\(608\) | 14.8086 | 0.600570 | ||||||||
\(609\) | 3.10075 | + | 0.292034i | 0.125649 | + | 0.0118338i | ||||
\(610\) | 71.2809 | 2.88608 | ||||||||
\(611\) | 2.44983 | + | 4.24324i | 0.0991096 | + | 0.171663i | ||||
\(612\) | 7.80660 | − | 13.5214i | 0.315563 | − | 0.546571i | ||||
\(613\) | −3.38156 | + | 5.85704i | −0.136580 | + | 0.236563i | −0.926200 | − | 0.377033i | \(-0.876944\pi\) |
0.789620 | + | 0.613596i | \(0.210278\pi\) | |||||||
\(614\) | 31.1177 | + | 53.8974i | 1.25581 | + | 2.17512i | ||||
\(615\) | 17.6953 | 0.713542 | ||||||||
\(616\) | 14.4635 | + | 1.36219i | 0.582749 | + | 0.0548843i | ||||
\(617\) | −41.0728 | −1.65353 | −0.826763 | − | 0.562550i | \(-0.809820\pi\) | ||||
−0.826763 | + | 0.562550i | \(0.809820\pi\) | |||||||
\(618\) | 0.945349 | + | 1.63739i | 0.0380275 | + | 0.0658656i | ||||
\(619\) | 15.2134 | − | 26.3503i | 0.611477 | − | 1.05911i | −0.379515 | − | 0.925186i | \(-0.623909\pi\) |
0.990992 | − | 0.133924i | \(-0.0427577\pi\) | |||||||
\(620\) | 10.8913 | − | 18.8643i | 0.437404 | − | 0.757607i | ||||
\(621\) | −12.7154 | − | 22.0237i | −0.510252 | − | 0.883782i | ||||
\(622\) | −86.5345 | −3.46972 | ||||||||
\(623\) | −4.90880 | + | 6.91238i | −0.196667 | + | 0.276939i | ||||
\(624\) | 12.3540 | 0.494555 | ||||||||
\(625\) | 12.1386 | + | 21.0246i | 0.485543 | + | 0.840985i | ||||
\(626\) | 29.5285 | − | 51.1449i | 1.18020 | − | 2.04416i | ||||
\(627\) | 2.46811 | − | 4.27489i | 0.0985667 | − | 0.170722i | ||||
\(628\) | −13.4342 | − | 23.2687i | −0.536082 | − | 0.928521i | ||||
\(629\) | −8.28123 | −0.330194 | ||||||||
\(630\) | −15.0748 | − | 32.8964i | −0.600594 | − | 1.31062i | ||||
\(631\) | 12.3670 | 0.492323 | 0.246162 | − | 0.969229i | \(-0.420831\pi\) | ||||
0.246162 | + | 0.969229i | \(0.420831\pi\) | |||||||
\(632\) | 12.7154 | + | 22.0237i | 0.505792 | + | 0.876057i | ||||
\(633\) | −5.79560 | + | 10.0383i | −0.230354 | + | 0.398985i | ||||
\(634\) | 24.5064 | − | 42.4462i | 0.973272 | − | 1.68576i | ||||
\(635\) | 13.6425 | + | 23.6295i | 0.541385 | + | 0.937707i | ||||
\(636\) | −0.914205 | −0.0362506 | ||||||||
\(637\) | 15.0201 | − | 17.4252i | 0.595120 | − | 0.690410i | ||||
\(638\) | −4.10930 | −0.162689 | ||||||||
\(639\) | 14.1067 | + | 24.4335i | 0.558052 | + | 0.966574i | ||||
\(640\) | −19.0071 | + | 32.9213i | −0.751322 | + | 1.30133i | ||||
\(641\) | 23.5657 | − | 40.8169i | 0.930787 | − | 1.61217i | 0.148809 | − | 0.988866i | \(-0.452456\pi\) |
0.781979 | − | 0.623305i | \(-0.214211\pi\) | |||||||
\(642\) | 5.62699 | + | 9.74624i | 0.222080 | + | 0.384653i | ||||
\(643\) | 1.87242 | 0.0738412 | 0.0369206 | − | 0.999318i | \(-0.488245\pi\) | ||||
0.0369206 | + | 0.999318i | \(0.488245\pi\) | |||||||
\(644\) | −30.0793 | − | 65.6393i | −1.18529 | − | 2.58655i | ||||
\(645\) | −8.28646 | −0.326279 | ||||||||
\(646\) | −12.8450 | − | 22.2482i | −0.505380 | − | 0.875344i | ||||
\(647\) | 0.917939 | − | 1.58992i | 0.0360879 | − | 0.0625061i | −0.847417 | − | 0.530927i | \(-0.821844\pi\) |
0.883505 | + | 0.468421i | \(0.155177\pi\) | |||||||
\(648\) | 12.8404 | − | 22.2402i | 0.504417 | − | 0.873676i | ||||
\(649\) | −6.32936 | − | 10.9628i | −0.248449 | − | 0.430326i | ||||
\(650\) | −1.15108 | −0.0451492 | ||||||||
\(651\) | −2.56897 | + | 3.61753i | −0.100686 | + | 0.141782i | ||||
\(652\) | 41.8135 | 1.63754 | ||||||||
\(653\) | 9.08858 | + | 15.7419i | 0.355664 | + | 0.616027i | 0.987231 | − | 0.159293i | \(-0.0509216\pi\) |
−0.631568 | + | 0.775321i | \(0.717588\pi\) | |||||||
\(654\) | 2.50058 | − | 4.33114i | 0.0977805 | − | 0.169361i | ||||
\(655\) | −0.836629 | + | 1.44908i | −0.0326898 | + | 0.0566204i | ||||
\(656\) | 29.6333 | + | 51.3265i | 1.15699 | + | 2.00396i | ||||
\(657\) | 21.3409 | 0.832590 | ||||||||
\(658\) | −9.78181 | − | 0.921267i | −0.381335 | − | 0.0359147i | ||||
\(659\) | −16.8997 | −0.658318 | −0.329159 | − | 0.944275i | \(-0.606765\pi\) | ||||
−0.329159 | + | 0.944275i | \(0.606765\pi\) | |||||||
\(660\) | −3.30660 | − | 5.72720i | −0.128709 | − | 0.222931i | ||||
\(661\) | 22.6516 | − | 39.2338i | 0.881046 | − | 1.52602i | 0.0308661 | − | 0.999524i | \(-0.490173\pi\) |
0.850180 | − | 0.526493i | \(-0.176493\pi\) | |||||||
\(662\) | −35.1086 | + | 60.8098i | −1.36453 | + | 2.36344i | ||||
\(663\) | −1.74805 | − | 3.02771i | −0.0678886 | − | 0.117587i | ||||
\(664\) | 10.6315 | 0.412581 | ||||||||
\(665\) | −40.1697 | − | 3.78325i | −1.55772 | − | 0.146708i | ||||
\(666\) | −34.4633 | −1.33543 | ||||||||
\(667\) | 5.35415 | + | 9.27366i | 0.207314 | + | 0.359078i | ||||
\(668\) | 4.08131 | − | 7.06904i | 0.157911 | − | 0.273509i | ||||
\(669\) | 1.08335 | − | 1.87641i | 0.0418845 | − | 0.0725462i | ||||
\(670\) | −12.5547 | − | 21.7453i | −0.485028 | − | 0.840094i | ||||
\(671\) | 12.9817 | 0.501154 | ||||||||
\(672\) | −2.33983 | + | 3.29485i | −0.0902609 | + | 0.127102i | ||||
\(673\) | 39.5076 | 1.52291 | 0.761454 | − | 0.648219i | \(-0.224486\pi\) | ||||
0.761454 | + | 0.648219i | \(0.224486\pi\) | |||||||
\(674\) | 27.0832 | + | 46.9094i | 1.04321 | + | 1.80688i | ||||
\(675\) | 0.275458 | − | 0.477108i | 0.0106024 | − | 0.0183639i | ||||
\(676\) | 4.62309 | − | 8.00743i | 0.177811 | − | 0.307978i | ||||
\(677\) | 17.0669 | + | 29.5608i | 0.655936 | + | 1.13611i | 0.981658 | + | 0.190649i | \(0.0610591\pi\) |
−0.325723 | + | 0.945465i | \(0.605608\pi\) | |||||||
\(678\) | −22.6677 | −0.870547 | ||||||||
\(679\) | −2.04942 | − | 4.47226i | −0.0786494 | − | 0.171630i | ||||
\(680\) | −18.0455 | −0.692014 | ||||||||
\(681\) | 6.58206 | + | 11.4005i | 0.252225 | + | 0.436867i | ||||
\(682\) | 2.92708 | − | 5.06984i | 0.112084 | − | 0.194134i | ||||
\(683\) | −11.8931 | + | 20.5995i | −0.455079 | + | 0.788219i | −0.998693 | − | 0.0511160i | \(-0.983722\pi\) |
0.543614 | + | 0.839335i | \(0.317056\pi\) | |||||||
\(684\) | −36.2244 | − | 62.7425i | −1.38507 | − | 2.39902i | ||||
\(685\) | −12.8762 | −0.491973 | ||||||||
\(686\) | 11.0500 | + | 44.7885i | 0.421891 | + | 1.71003i | ||||
\(687\) | 18.1951 | 0.694186 | ||||||||
\(688\) | −13.8769 | − | 24.0355i | −0.529052 | − | 0.916345i | ||||
\(689\) | 0.500750 | − | 0.867324i | 0.0190770 | − | 0.0330424i | ||||
\(690\) | −12.7154 | + | 22.0237i | −0.484067 | + | 0.838429i | ||||
\(691\) | 10.2812 | + | 17.8076i | 0.391116 | + | 0.677433i | 0.992597 | − | 0.121454i | \(-0.0387557\pi\) |
−0.601481 | + | 0.798887i | \(0.705422\pi\) | |||||||
\(692\) | 27.0440 | 1.02806 | ||||||||
\(693\) | −2.74543 | − | 5.99111i | −0.104290 | − | 0.227584i | ||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | 6.14248 | + | 10.6391i | 0.232998 | + | 0.403564i | ||||
\(696\) | 3.23181 | − | 5.59766i | 0.122501 | − | 0.212179i | ||||
\(697\) | 8.38605 | − | 14.5251i | 0.317644 | − | 0.550176i | ||||
\(698\) | −17.5722 | − | 30.4359i | −0.665117 | − | 1.15202i | ||||
\(699\) | −2.72401 | −0.103031 | ||||||||
\(700\) | 0.905651 | − | 1.27530i | 0.0342304 | − | 0.0482019i | ||||
\(701\) | −23.9907 | −0.906116 | −0.453058 | − | 0.891481i | \(-0.649667\pi\) | ||||
−0.453058 | + | 0.891481i | \(0.649667\pi\) | |||||||
\(702\) | −16.0364 | − | 27.7758i | −0.605254 | − | 1.04833i | ||||
\(703\) | −19.2134 | + | 33.2785i | −0.724646 | + | 1.25512i | ||||
\(704\) | −2.60220 | + | 4.50714i | −0.0980741 | + | 0.169869i | ||||
\(705\) | 1.17251 | + | 2.03084i | 0.0441592 | + | 0.0764860i | ||||
\(706\) | 12.3763 | 0.465789 | ||||||||
\(707\) | 15.9245 | + | 1.49979i | 0.598901 | + | 0.0564055i | ||||
\(708\) | 37.9762 | 1.42723 | ||||||||
\(709\) | 25.8559 | + | 44.7836i | 0.971037 | + | 1.68189i | 0.692437 | + | 0.721478i | \(0.256537\pi\) |
0.278599 | + | 0.960407i | \(0.410130\pi\) | |||||||
\(710\) | 31.0968 | − | 53.8612i | 1.16704 | − | 2.02138i | ||||
\(711\) | 5.76819 | − | 9.99080i | 0.216324 | − | 0.374684i | ||||
\(712\) | 8.79747 | + | 15.2377i | 0.329699 | + | 0.571055i | ||||
\(713\) | −15.2552 | −0.571310 | ||||||||
\(714\) | 6.97969 | + | 0.657359i | 0.261208 | + | 0.0246010i | ||||
\(715\) | 7.24468 | 0.270936 | ||||||||
\(716\) | 7.53841 | + | 13.0569i | 0.281724 | + | 0.487960i | ||||
\(717\) | 4.63933 | − | 8.03555i | 0.173259 | − | 0.300093i | ||||
\(718\) | −5.07089 | + | 8.78304i | −0.189244 | + | 0.327780i | ||||
\(719\) | −12.8926 | − | 22.3306i | −0.480812 | − | 0.832790i | 0.518946 | − | 0.854807i | \(-0.326325\pi\) |
−0.999758 | + | 0.0220170i | \(0.992991\pi\) | |||||||
\(720\) | −28.9269 | −1.07804 | ||||||||
\(721\) | 1.62961 | − | 2.29475i | 0.0606898 | − | 0.0854610i | ||||
\(722\) | −71.8811 | −2.67514 | ||||||||
\(723\) | −0.160754 | − | 0.278434i | −0.00597851 | − | 0.0103551i | ||||
\(724\) | −25.6750 | + | 44.4703i | −0.954202 | + | 1.65273i | ||||
\(725\) | −0.115989 | + | 0.200899i | −0.00430772 | + | 0.00746118i | ||||
\(726\) | −0.888663 | − | 1.53921i | −0.0329814 | − | 0.0571254i | ||||
\(727\) | 32.7330 | 1.21400 | 0.606999 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.606999 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(728\) | −19.8898 | − | 43.4037i | −0.737164 | − | 1.60865i | ||||
\(729\) | −3.26295 | −0.120850 | ||||||||
\(730\) | −23.5220 | − | 40.7413i | −0.870589 | − | 1.50790i | ||||
\(731\) | −3.92708 | + | 6.80189i | −0.145248 | + | 0.251577i | ||||
\(732\) | −19.4726 | + | 33.7275i | −0.719728 | + | 1.24660i | ||||
\(733\) | 4.64136 | + | 8.03908i | 0.171433 | + | 0.296930i | 0.938921 | − | 0.344133i | \(-0.111827\pi\) |
−0.767488 | + | 0.641063i | \(0.778494\pi\) | |||||||
\(734\) | 44.8904 | 1.65693 | ||||||||
\(735\) | 7.18875 | − | 8.33981i | 0.265161 | − | 0.307618i | ||||
\(736\) | −13.8944 | −0.512156 | ||||||||
\(737\) | −2.28646 | − | 3.96027i | −0.0842229 | − | 0.145878i | ||||
\(738\) | 34.8995 | − | 60.4477i | 1.28467 | − | 2.22511i | ||||
\(739\) | 25.0466 | − | 43.3820i | 0.921355 | − | 1.59583i | 0.124035 | − | 0.992278i | \(-0.460417\pi\) |
0.797320 | − | 0.603556i | \(-0.206250\pi\) | |||||||
\(740\) | 25.7408 | + | 44.5843i | 0.946250 | + | 1.63895i | ||||
\(741\) | −16.2227 | −0.595955 | ||||||||
\(742\) | 0.836629 | + | 1.82570i | 0.0307136 | + | 0.0670236i | ||||
\(743\) | 13.1679 | 0.483082 | 0.241541 | − | 0.970391i | \(-0.422347\pi\) | ||||
0.241541 | + | 0.970391i | \(0.422347\pi\) | |||||||
\(744\) | 4.60407 | + | 7.97448i | 0.168793 | + | 0.292359i | ||||
\(745\) | 1.10220 | − | 1.90907i | 0.0403815 | − | 0.0699428i | ||||
\(746\) | 36.0135 | − | 62.3771i | 1.31855 | − | 2.28379i | ||||
\(747\) | −2.41142 | − | 4.17670i | −0.0882293 | − | 0.152818i | ||||
\(748\) | −6.26819 | −0.229188 | ||||||||
\(749\) | 9.69992 | − | 13.6590i | 0.354427 | − | 0.499090i | ||||
\(750\) | −20.1406 | −0.735431 | ||||||||
\(751\) | −20.6569 | − | 35.7787i | −0.753779 | − | 1.30558i | −0.945979 | − | 0.324228i | \(-0.894895\pi\) |
0.192200 | − | 0.981356i | \(-0.438438\pi\) | |||||||
\(752\) | −3.92708 | + | 6.80189i | −0.143206 | + | 0.248040i | ||||
\(753\) | 0.399084 | − | 0.691234i | 0.0145434 | − | 0.0251900i | ||||
\(754\) | 6.75253 | + | 11.6957i | 0.245913 | + | 0.425933i | ||||
\(755\) | 32.7158 | 1.19065 | ||||||||
\(756\) | 43.3904 | + | 4.08658i | 1.57809 | + | 0.148627i | ||||
\(757\) | −45.5114 | −1.65414 | −0.827069 | − | 0.562100i | \(-0.809994\pi\) | ||||
−0.827069 | + | 0.562100i | \(0.809994\pi\) | |||||||
\(758\) | 5.36591 | + | 9.29402i | 0.194898 | + | 0.337574i | ||||
\(759\) | −2.31574 | + | 4.01098i | −0.0840560 | + | 0.145589i | ||||
\(760\) | −41.8676 | + | 72.5168i | −1.51870 | + | 2.63046i | ||||
\(761\) | −15.6360 | − | 27.0823i | −0.566803 | − | 0.981732i | −0.996879 | − | 0.0789393i | \(-0.974847\pi\) |
0.430076 | − | 0.902793i | \(-0.358487\pi\) | |||||||
\(762\) | −21.9988 | −0.796934 | ||||||||
\(763\) | −7.41200 | − | 0.698075i | −0.268333 | − | 0.0252720i | ||||
\(764\) | 50.9124 | 1.84194 | ||||||||
\(765\) | 4.09306 | + | 7.08940i | 0.147985 | + | 0.256318i | ||||
\(766\) | −15.3795 | + | 26.6381i | −0.555685 | + | 0.962474i | ||||
\(767\) | −20.8012 | + | 36.0287i | −0.751088 | + | 1.30092i | ||||
\(768\) | −11.6112 | − | 20.1111i | −0.418982 | − | 0.725698i | ||||
\(769\) | 42.0467 | 1.51624 | 0.758121 | − | 0.652114i | \(-0.226118\pi\) | ||||
0.758121 | + | 0.652114i | \(0.226118\pi\) | |||||||
\(770\) | −8.41142 | + | 11.8446i | −0.303127 | + | 0.426851i | ||||
\(771\) | 16.2969 | 0.586920 | ||||||||
\(772\) | 25.1002 | + | 43.4748i | 0.903375 | + | 1.56469i | ||||
\(773\) | −3.82226 | + | 6.62034i | −0.137477 | + | 0.238117i | −0.926541 | − | 0.376194i | \(-0.877233\pi\) |
0.789064 | + | 0.614311i | \(0.210566\pi\) | |||||||
\(774\) | −16.3430 | + | 28.3069i | −0.587436 | + | 1.01747i | ||||
\(775\) | −0.165239 | − | 0.286202i | −0.00593555 | − | 0.0102807i | ||||
\(776\) | −10.2096 | −0.366505 | ||||||||
\(777\) | −4.36852 | − | 9.53304i | −0.156720 | − | 0.341996i | ||||
\(778\) | −73.2887 | −2.62753 | ||||||||
\(779\) | −38.9131 | − | 67.3995i | −1.39421 | − | 2.41484i | ||||
\(780\) | −10.8670 | + | 18.8222i | −0.389102 | + | 0.673944i | ||||
\(781\) | 5.66337 | − | 9.80925i | 0.202651 | − | 0.351002i | ||||
\(782\) | 12.0520 | + | 20.8747i | 0.430980 | + | 0.746479i | ||||
\(783\) | −6.46362 | −0.230991 | ||||||||
\(784\) | 36.2289 | + | 6.88526i | 1.29389 | + | 0.245902i | ||||
\(785\) | 14.0873 | 0.502797 | ||||||||
\(786\) | −0.674542 | − | 1.16834i | −0.0240601 | − | 0.0416734i | ||||
\(787\) | 13.9517 | − | 24.1651i | 0.497324 | − | 0.861391i | −0.502671 | − | 0.864478i | \(-0.667649\pi\) |
0.999995 | + | 0.00308674i | \(0.000982540\pi\) | |||||||
\(788\) | −25.5683 | + | 44.2855i | −0.910832 | + | 1.57761i | ||||
\(789\) | −3.27919 | − | 5.67973i | −0.116742 | − | 0.202204i | ||||
\(790\) | −25.4308 | −0.904788 | ||||||||
\(791\) | 14.0573 | + | 30.6759i | 0.499819 | + | 1.09071i | ||||
\(792\) | −13.6770 | −0.485991 | ||||||||
\(793\) | −21.3320 | − | 36.9481i | −0.757521 | − | 1.31206i | ||||
\(794\) | −21.5453 | + | 37.3176i | −0.764616 | + | 1.32435i | ||||
\(795\) | 0.239662 | − | 0.415107i | 0.00849995 | − | 0.0147223i | ||||
\(796\) | −4.00448 | − | 6.93597i | −0.141935 | − | 0.245839i | ||||
\(797\) | 10.0560 | 0.356201 | 0.178101 | − | 0.984012i | \(-0.443005\pi\) | ||||
0.178101 | + | 0.984012i | \(0.443005\pi\) | |||||||
\(798\) | 18.8353 | − | 26.5231i | 0.666762 | − | 0.938908i | ||||
\(799\) | 2.22267 | 0.0786326 | ||||||||
\(800\) | −0.150500 | − | 0.260674i | −0.00532098 | − | 0.00921620i | ||||
\(801\) | 3.99086 | − | 6.91238i | 0.141010 | − | 0.244237i | ||||
\(802\) | −31.0740 | + | 53.8218i | −1.09726 | + | 1.90051i | ||||
\(803\) | −4.28384 | − | 7.41984i | −0.151174 | − | 0.261840i | ||||
\(804\) | 13.7188 | 0.483824 | ||||||||
\(805\) | 37.6899 | + | 3.54969i | 1.32839 | + | 0.125110i | ||||
\(806\) | −19.2394 | −0.677681 | ||||||||
\(807\) | −5.57031 | − | 9.64805i | −0.196084 | − | 0.339628i | ||||
\(808\) | 16.5975 | − | 28.7478i | 0.583900 | − | 1.01134i | ||||
\(809\) | −19.2863 | + | 33.4048i | −0.678070 | + | 1.17445i | 0.297491 | + | 0.954725i | \(0.403850\pi\) |
−0.975561 | + | 0.219727i | \(0.929483\pi\) | |||||||
\(810\) | 12.8404 | + | 22.2402i | 0.451164 | + | 0.781440i | ||||
\(811\) | 12.3760 | 0.434580 | 0.217290 | − | 0.976107i | \(-0.430278\pi\) | ||||
0.217290 | + | 0.976107i | \(0.430278\pi\) | |||||||
\(812\) | −18.2706 | − | 1.72076i | −0.641174 | − | 0.0603868i | ||||
\(813\) | −19.7968 | −0.694303 | ||||||||
\(814\) | 6.91794 | + | 11.9822i | 0.242474 | + | 0.419977i | ||||
\(815\) | −10.9616 | + | 18.9860i | −0.383968 | + | 0.665051i | ||||
\(816\) | 2.80212 | − | 4.85341i | 0.0980937 | − | 0.169903i | ||||
\(817\) | 18.2225 | + | 31.5623i | 0.637525 | + | 1.10423i | ||||
\(818\) | 96.0437 | 3.35809 | ||||||||
\(819\) | −12.5403 | + | 17.6587i | −0.438193 | + | 0.617046i | ||||
\(820\) | −104.266 | −3.64114 | ||||||||
\(821\) | −14.8691 | − | 25.7540i | −0.518934 | − | 0.898820i | −0.999758 | − | 0.0220025i | \(-0.992996\pi\) |
0.480824 | − | 0.876817i | \(-0.340338\pi\) | |||||||
\(822\) | 5.19078 | − | 8.99070i | 0.181049 | − | 0.313587i | ||||
\(823\) | −20.3885 | + | 35.3139i | −0.710698 | + | 1.23097i | 0.253897 | + | 0.967231i | \(0.418288\pi\) |
−0.964595 | + | 0.263734i | \(0.915046\pi\) | |||||||
\(824\) | −2.92056 | − | 5.05855i | −0.101742 | − | 0.176223i | ||||
\(825\) | −0.100333 | −0.00349316 | ||||||||
\(826\) | −34.7537 | − | 75.8398i | −1.20923 | − | 2.63880i | ||||
\(827\) | −18.8411 | −0.655170 | −0.327585 | − | 0.944822i | \(-0.606235\pi\) | ||||
−0.327585 | + | 0.944822i | \(0.606235\pi\) | |||||||
\(828\) | 33.9881 | + | 58.8691i | 1.18117 | + | 2.04584i | ||||
\(829\) | 15.5703 | − | 26.9686i | 0.540779 | − | 0.936657i | −0.458080 | − | 0.888911i | \(-0.651463\pi\) |
0.998860 | − | 0.0477461i | \(-0.0152038\pi\) | |||||||
\(830\) | −5.31574 | + | 9.20713i | −0.184512 | + | 0.319584i | ||||
\(831\) | 5.28459 | + | 9.15319i | 0.183321 | + | 0.317521i | ||||
\(832\) | 17.1041 | 0.592977 | ||||||||
\(833\) | −3.43883 | − | 9.85320i | −0.119148 | − | 0.341393i | ||||
\(834\) | −9.90490 | −0.342979 | ||||||||
\(835\) | 2.13986 | + | 3.70635i | 0.0740530 | + | 0.128264i | ||||
\(836\) | −14.5429 | + | 25.1890i | −0.502977 | + | 0.871181i | ||||
\(837\) | 4.60407 | − | 7.97448i | 0.159140 | − | 0.275638i | ||||
\(838\) | 1.13206 | + | 1.96079i | 0.0391064 | + | 0.0677342i | ||||
\(839\) | 10.2589 | 0.354176 | 0.177088 | − | 0.984195i | \(-0.443332\pi\) | ||||
0.177088 | + | 0.984195i | \(0.443332\pi\) | |||||||
\(840\) | −9.51939 | − | 20.7733i | −0.328450 | − | 0.716748i | ||||
\(841\) | −26.2783 | −0.906149 | ||||||||
\(842\) | 19.3704 | + | 33.5505i | 0.667548 | + | 1.15623i | ||||
\(843\) | 5.43098 | − | 9.40673i | 0.187053 | − | 0.323985i | ||||
\(844\) | 34.1496 | − | 59.1488i | 1.17548 | − | 2.03599i | ||||
\(845\) | 2.42392 | + | 4.19836i | 0.0833855 | + | 0.144428i | ||||
\(846\) | 9.24992 | 0.318019 | ||||||||
\(847\) | −1.53189 | + | 2.15715i | −0.0526365 | + | 0.0741206i | ||||
\(848\) | 1.60540 | 0.0551297 | ||||||||
\(849\) | 7.74805 | + | 13.4200i | 0.265912 | + | 0.460574i | ||||
\(850\) | −0.261087 | + | 0.452217i | −0.00895522 | + | 0.0155109i | ||||
\(851\) | 18.0272 | − | 31.2241i | 0.617966 | − | 1.07035i | ||||
\(852\) | 16.9901 | + | 29.4277i | 0.582072 | + | 1.00818i | ||||
\(853\) | 3.04435 | 0.104237 | 0.0521183 | − | 0.998641i | \(-0.483403\pi\) | ||||
0.0521183 | + | 0.998641i | \(0.483403\pi\) | |||||||
\(854\) | 85.1753 | + | 8.02195i | 2.91464 | + | 0.274506i | ||||
\(855\) | 37.9855 | 1.29908 | ||||||||
\(856\) | −17.3840 | − | 30.1100i | −0.594173 | − | 1.02914i | ||||
\(857\) | −24.7766 | + | 42.9143i | −0.846352 | + | 1.46592i | 0.0380904 | + | 0.999274i | \(0.487873\pi\) |
−0.884442 | + | 0.466650i | \(0.845461\pi\) | |||||||
\(858\) | −2.92056 | + | 5.05855i | −0.0997062 | + | 0.172696i | ||||
\(859\) | −18.4373 | − | 31.9344i | −0.629074 | − | 1.08959i | −0.987738 | − | 0.156121i | \(-0.950101\pi\) |
0.358664 | − | 0.933467i | \(-0.383232\pi\) | |||||||
\(860\) | 48.8266 | 1.66497 | ||||||||
\(861\) | 21.1445 | + | 1.99143i | 0.720603 | + | 0.0678676i | ||||
\(862\) | −8.80864 | −0.300023 | ||||||||
\(863\) | 23.2115 | + | 40.2035i | 0.790129 | + | 1.36854i | 0.925887 | + | 0.377801i | \(0.123320\pi\) |
−0.135758 | + | 0.990742i | \(0.543347\pi\) | |||||||
\(864\) | 4.19340 | − | 7.26318i | 0.142662 | − | 0.247098i | ||||
\(865\) | −7.08970 | + | 12.2797i | −0.241057 | + | 0.417523i | ||||
\(866\) | 21.9765 | + | 38.0644i | 0.746792 | + | 1.29348i | ||||
\(867\) | 10.5442 | 0.358099 | ||||||||
\(868\) | 15.1372 | − | 21.3157i | 0.513792 | − | 0.723501i | ||||
\(869\) | −4.63148 | −0.157112 | ||||||||
\(870\) | 3.23181 | + | 5.59766i | 0.109569 | + | 0.189778i | ||||
\(871\) | −7.51437 | + | 13.0153i | −0.254615 | + | 0.441006i | ||||
\(872\) | −7.72529 | + | 13.3806i | −0.261611 | + | 0.453124i | ||||
\(873\) | 2.31574 | + | 4.01098i | 0.0783759 | + | 0.135751i | ||||
\(874\) | 111.848 | 3.78332 | ||||||||
\(875\) | 12.4901 | + | 27.2561i | 0.422243 | + | 0.921423i | ||||
\(876\) | 25.7031 | 0.868426 | ||||||||
\(877\) | −19.5155 | − | 33.8018i | −0.658991 | − | 1.14141i | −0.980877 | − | 0.194628i | \(-0.937650\pi\) |
0.321886 | − | 0.946778i | \(-0.395683\pi\) | |||||||
\(878\) | 18.7154 | − | 32.4160i | 0.631614 | − | 1.09399i | ||||
\(879\) | 3.96997 | − | 6.87620i | 0.133904 | − | 0.231928i | ||||
\(880\) | 5.80660 | + | 10.0573i | 0.195741 | + | 0.339033i | ||||
\(881\) | −44.0049 | −1.48256 | −0.741281 | − | 0.671194i | \(-0.765782\pi\) | ||||
−0.741281 | + | 0.671194i | \(0.765782\pi\) | |||||||
\(882\) | −14.3111 | − | 41.0052i | −0.481879 | − | 1.38072i | ||||
\(883\) | −23.3596 | −0.786112 | −0.393056 | − | 0.919515i | \(-0.628582\pi\) | ||||
−0.393056 | + | 0.919515i | \(0.628582\pi\) | |||||||
\(884\) | 10.3001 | + | 17.8403i | 0.346429 | + | 0.600033i | ||||
\(885\) | −9.95560 | + | 17.2436i | −0.334654 | + | 0.579638i | ||||
\(886\) | 16.4679 | − | 28.5233i | 0.553251 | − | 0.958259i | ||||
\(887\) | −20.9588 | − | 36.3017i | −0.703728 | − | 1.21889i | −0.967149 | − | 0.254211i | \(-0.918184\pi\) |
0.263421 | − | 0.964681i | \(-0.415149\pi\) | |||||||
\(888\) | −21.7628 | −0.730311 | ||||||||
\(889\) | 13.6425 | + | 29.7708i | 0.457554 | + | 0.998480i | ||||
\(890\) | −17.5949 | −0.589783 | ||||||||
\(891\) | 2.33850 | + | 4.05039i | 0.0783426 | + | 0.135693i | ||||
\(892\) | −6.38343 | + | 11.0564i | −0.213733 | + | 0.370196i | ||||
\(893\) | 5.15685 | − | 8.93193i | 0.172567 | − | 0.298896i | ||||
\(894\) | 0.888663 | + | 1.53921i | 0.0297213 | + | 0.0514789i | ||||
\(895\) | −7.90490 | −0.264232 | ||||||||
\(896\) | −26.4170 | + | 37.1994i | −0.882531 | + | 1.24274i | ||||
\(897\) | 15.2212 | 0.508220 | ||||||||
\(898\) | −12.3405 | − | 21.3744i | −0.411809 | − | 0.713274i | ||||
\(899\) | −1.93866 | + | 3.35786i | −0.0646580 | + | 0.111991i | ||||
\(900\) | −0.736295 | + | 1.27530i | −0.0245432 | + | 0.0425100i | ||||
\(901\) | −0.227159 | − | 0.393451i | −0.00756776 | − | 0.0131078i | ||||
\(902\) | −28.0220 | −0.933031 | ||||||||
\(903\) | −9.90170 | − | 0.932559i | −0.329508 | − | 0.0310336i | ||||
\(904\) | 70.0295 | 2.32915 | ||||||||
\(905\) | −13.4616 | − | 23.3162i | −0.447478 | − | 0.775055i | ||||
\(906\) | −13.1887 | + | 22.8436i | −0.438167 | + | 0.758927i | ||||
\(907\) | 10.2591 | − | 17.7692i | 0.340646 | − | 0.590017i | −0.643907 | − | 0.765104i | \(-0.722687\pi\) |
0.984553 | + | 0.175087i | \(0.0560208\pi\) | |||||||
\(908\) | −38.7837 | − | 67.1753i | −1.28708 | − | 2.22929i | ||||
\(909\) | −15.0586 | −0.499461 | ||||||||
\(910\) | 47.5336 | + | 4.47679i | 1.57572 | + | 0.148404i | ||||
\(911\) | 27.6755 | 0.916930 | 0.458465 | − | 0.888712i | \(-0.348399\pi\) | ||||
0.458465 | + | 0.888712i | \(0.348399\pi\) | |||||||
\(912\) | −13.0025 | − | 22.5209i | −0.430554 | − | 0.745742i | ||||
\(913\) | −0.968106 | + | 1.67681i | −0.0320396 | + | 0.0554943i | ||||
\(914\) | 12.8840 | − | 22.3158i | 0.426165 | − | 0.738140i | ||||
\(915\) | −10.2096 | − | 17.6836i | −0.337520 | − | 0.584602i | ||||
\(916\) | −107.212 | −3.54237 | ||||||||
\(917\) | −1.16279 | + | 1.63739i | −0.0383987 | + | 0.0540714i | ||||
\(918\) | −14.5494 | −0.480202 | ||||||||
\(919\) | −0.481727 | − | 0.834376i | −0.0158907 | − | 0.0275235i | 0.857971 | − | 0.513699i | \(-0.171725\pi\) |
−0.873861 | + | 0.486175i | \(0.838392\pi\) | |||||||
\(920\) | 39.2829 | − | 68.0400i | 1.29512 | − | 2.24321i | ||||
\(921\) | 8.91404 | − | 15.4396i | 0.293728 | − | 0.508751i | ||||
\(922\) | −19.1015 | − | 33.0847i | −0.629073 | − | 1.08959i | ||||
\(923\) | −37.2249 | −1.22527 | ||||||||
\(924\) | −3.30660 | − | 7.21570i | −0.108779 | − | 0.237379i | ||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | −31.2993 | − | 54.2120i | −1.02856 | − | 1.78152i | ||||
\(927\) | −1.32488 | + | 2.29475i | −0.0435146 | + | 0.0753695i | ||||
\(928\) | −1.76574 | + | 3.05835i | −0.0579632 | + | 0.100395i | ||||
\(929\) | −13.1660 | − | 22.8042i | −0.431962 | − | 0.748180i | 0.565080 | − | 0.825036i | \(-0.308845\pi\) |
−0.997042 | + | 0.0768558i | \(0.975512\pi\) | |||||||
\(930\) | −9.20814 | −0.301947 | ||||||||
\(931\) | −47.5740 | − | 9.04140i | −1.55918 | − | 0.296320i | ||||
\(932\) | 16.0507 | 0.525760 | ||||||||
\(933\) | 12.3944 | + | 21.4678i | 0.405775 | + | 0.702824i | ||||
\(934\) | −0.929110 | + | 1.60927i | −0.0304014 | + | 0.0526568i | ||||
\(935\) | 1.64323 | − | 2.84616i | 0.0537394 | − | 0.0930794i | ||||
\(936\) | 22.4745 | + | 38.9269i | 0.734601 | + | 1.27237i | ||||
\(937\) | −21.3865 | −0.698665 | −0.349333 | − | 0.936999i | \(-0.613592\pi\) | ||||
−0.349333 | + | 0.936999i | \(0.613592\pi\) | |||||||
\(938\) | −12.5547 | − | 27.3969i | −0.409924 | − | 0.894540i | ||||
\(939\) | −16.9176 | −0.552085 | ||||||||
\(940\) | −6.90880 | − | 11.9664i | −0.225340 | − | 0.390301i | ||||
\(941\) | −7.41142 | + | 12.8370i | −0.241605 | + | 0.418473i | −0.961172 | − | 0.275951i | \(-0.911007\pi\) |
0.719566 | + | 0.694424i | \(0.244341\pi\) | |||||||
\(942\) | −5.67903 | + | 9.83636i | −0.185033 | + | 0.320486i | ||||
\(943\) | 36.5108 | + | 63.2386i | 1.18896 | + | 2.05933i | ||||
\(944\) | −66.6885 | −2.17053 | ||||||||
\(945\) | −13.2305 | + | 18.6307i | −0.430389 | + | 0.606056i | ||||
\(946\) | 13.1223 | 0.426644 | ||||||||
\(947\) | −15.8560 | − | 27.4634i | −0.515251 | − | 0.892442i | −0.999843 | − | 0.0177013i | \(-0.994365\pi\) |
0.484592 | − | 0.874740i | \(-0.338968\pi\) | |||||||
\(948\) | 6.94722 | − | 12.0329i | 0.225635 | − | 0.390811i | ||||
\(949\) | −14.0787 | + | 24.3850i | −0.457014 | + | 0.791571i | ||||
\(950\) | 1.21150 | + | 2.09839i | 0.0393064 | + | 0.0680806i | ||||
\(951\) | −14.0403 | −0.455287 | ||||||||
\(952\) | −21.5630 | − | 2.03084i | −0.698862 | − | 0.0658200i | ||||
\(953\) | 49.9620 | 1.61843 | 0.809213 | − | 0.587515i | \(-0.199894\pi\) | ||||
0.809213 | + | 0.587515i | \(0.199894\pi\) | |||||||
\(954\) | −0.945349 | − | 1.63739i | −0.0306068 | − | 0.0530125i | ||||
\(955\) | −13.3469 | + | 23.1175i | −0.431895 | + | 0.748064i | ||||
\(956\) | −27.3365 | + | 47.3481i | −0.884124 | + | 1.53135i | ||||
\(957\) | 0.588580 | + | 1.01945i | 0.0190261 | + | 0.0329541i | ||||
\(958\) | 50.0988 | 1.61862 | ||||||||
\(959\) | −15.3860 | − | 1.44908i | −0.496841 | − | 0.0467933i | ||||
\(960\) | 8.18613 | 0.264206 | ||||||||
\(961\) | 12.7382 | + | 22.0631i | 0.410908 | + | 0.711714i | ||||
\(962\) | 22.7355 | − | 39.3791i | 0.733023 | − | 1.26963i | ||||
\(963\) | −7.88605 | + | 13.6590i | −0.254124 | + | 0.440156i | ||||
\(964\) | 0.947216 | + | 1.64063i | 0.0305078 | + | 0.0528410i | ||||
\(965\) | −26.3204 | −0.847285 | ||||||||
\(966\) | −17.6725 | + | 24.8857i | −0.568604 | + | 0.800685i | ||||
\(967\) | −52.4581 | −1.68694 | −0.843469 | − | 0.537178i | \(-0.819490\pi\) | ||||
−0.843469 | + | 0.537178i | \(0.819490\pi\) | |||||||
\(968\) | 2.74543 | + | 4.75523i | 0.0882415 | + | 0.152839i | ||||
\(969\) | −3.67961 | + | 6.37327i | −0.118206 | + | 0.204739i | ||||
\(970\) | 5.10482 | − | 8.84180i | 0.163906 | − | 0.283893i | ||||
\(971\) | −15.4133 | − | 26.6966i | −0.494636 | − | 0.856735i | 0.505345 | − | 0.862917i | \(-0.331365\pi\) |
−0.999981 | + | 0.00618284i | \(0.998032\pi\) | |||||||
\(972\) | −63.4487 | −2.03512 | ||||||||
\(973\) | 6.14248 | + | 13.4042i | 0.196919 | + | 0.429719i | ||||
\(974\) | 10.5860 | 0.339196 | ||||||||
\(975\) | 0.164871 | + | 0.285565i | 0.00528009 | + | 0.00914538i | ||||
\(976\) | 34.1951 | − | 59.2276i | 1.09456 | − | 1.89583i | ||||
\(977\) | −12.3678 | + | 21.4216i | −0.395680 | + | 0.685338i | −0.993188 | − | 0.116525i | \(-0.962824\pi\) |
0.597508 | + | 0.801863i | \(0.296158\pi\) | |||||||
\(978\) | −8.83791 | − | 15.3077i | −0.282605 | − | 0.489487i | ||||
\(979\) | −3.20440 | −0.102413 | ||||||||
\(980\) | −42.3585 | + | 49.1409i | −1.35309 | + | 1.56975i | ||||
\(981\) | 7.00897 | 0.223779 | ||||||||
\(982\) | 37.7713 | + | 65.4219i | 1.20533 | + | 2.08770i | ||||
\(983\) | −6.11192 | + | 10.5862i | −0.194940 | + | 0.337646i | −0.946881 | − | 0.321585i | \(-0.895785\pi\) |
0.751941 | + | 0.659231i | \(0.229118\pi\) | |||||||
\(984\) | 22.0382 | − | 38.1714i | 0.702554 | − | 1.21686i | ||||
\(985\) | −13.4057 | − | 23.2193i | −0.427140 | − | 0.739827i | ||||
\(986\) | 6.12641 | 0.195105 | ||||||||
\(987\) | 1.17251 | + | 2.55866i | 0.0373213 | + | 0.0814430i | ||||
\(988\) | 95.5894 | 3.04110 | ||||||||
\(989\) | −17.0975 | − | 29.6138i | −0.543670 | − | 0.941665i | ||||
\(990\) | 6.83850 | − | 11.8446i | 0.217342 | − | 0.376447i | ||||
\(991\) | −2.30008 | + | 3.98386i | −0.0730645 | + | 0.126552i | −0.900243 | − | 0.435388i | \(-0.856611\pi\) |
0.827178 | + | 0.561939i | \(0.189945\pi\) | |||||||
\(992\) | −2.51549 | − | 4.35695i | −0.0798668 | − | 0.138333i | ||||
\(993\) | 20.1145 | 0.638316 | ||||||||
\(994\) | 43.2199 | − | 60.8605i | 1.37085 | − | 1.93038i | ||||
\(995\) | 4.19917 | 0.133123 | ||||||||
\(996\) | −2.90432 | − | 5.03043i | −0.0920268 | − | 0.159395i | ||||
\(997\) | 17.2382 | − | 29.8574i | 0.545938 | − | 0.945593i | −0.452609 | − | 0.891709i | \(-0.649507\pi\) |
0.998547 | − | 0.0538835i | \(-0.0171600\pi\) | |||||||
\(998\) | 17.9856 | − | 31.1520i | 0.569325 | − | 0.986100i | ||||
\(999\) | 10.8814 | + | 18.8471i | 0.344272 | + | 0.596297i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))