Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.14 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.4.e.b.133.14 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.06804 | + | 0.551183i | 1.79182 | + | 0.194872i | 0.942772 | − | 0.333439i | \(-0.108209\pi\) |
0.849051 | + | 0.528311i | \(0.177174\pi\) | |||||||
\(3\) | 1.94216 | − | 2.28649i | 0.373769 | − | 0.440034i | ||||
\(4\) | 17.5683 | + | 3.86707i | 2.19603 | + | 0.483383i | ||||
\(5\) | −15.9287 | − | 12.1087i | −1.42470 | − | 1.08303i | −0.982530 | − | 0.186104i | \(-0.940414\pi\) |
−0.442175 | − | 0.896929i | \(-0.645793\pi\) | |||||||
\(6\) | 11.1032 | − | 10.5175i | 0.755478 | − | 0.715627i | ||||
\(7\) | 8.66226 | − | 21.7406i | 0.467718 | − | 1.17388i | −0.486209 | − | 0.873843i | \(-0.661620\pi\) |
0.953926 | − | 0.300041i | \(-0.0970002\pi\) | |||||||
\(8\) | 48.2567 | + | 16.2596i | 2.13266 | + | 0.718578i | ||||
\(9\) | −1.45604 | − | 8.88144i | −0.0539273 | − | 0.328942i | ||||
\(10\) | −74.0531 | − | 70.1468i | −2.34177 | − | 2.21824i | ||||
\(11\) | 13.1894 | − | 6.10206i | 0.361522 | − | 0.167258i | −0.230715 | − | 0.973021i | \(-0.574107\pi\) |
0.592238 | + | 0.805763i | \(0.298245\pi\) | |||||||
\(12\) | 42.9624 | − | 32.6591i | 1.03351 | − | 0.785657i | ||||
\(13\) | −5.18329 | + | 31.6167i | −0.110583 | + | 0.674529i | 0.872113 | + | 0.489305i | \(0.162749\pi\) |
−0.982696 | + | 0.185224i | \(0.940699\pi\) | |||||||
\(14\) | 55.8837 | − | 105.408i | 1.06683 | − | 2.01225i | ||||
\(15\) | −58.6223 | + | 12.9038i | −1.00908 | + | 0.222116i | ||||
\(16\) | 104.995 | + | 48.5759i | 1.64055 | + | 0.758998i | ||||
\(17\) | 41.1760 | + | 103.344i | 0.587449 | + | 1.47439i | 0.859007 | + | 0.511964i | \(0.171082\pi\) |
−0.271557 | + | 0.962422i | \(0.587539\pi\) | |||||||
\(18\) | −2.48396 | − | 45.8140i | −0.0325264 | − | 0.599915i | ||||
\(19\) | 71.2333 | + | 105.061i | 0.860107 | + | 1.26856i | 0.961802 | + | 0.273748i | \(0.0882633\pi\) |
−0.101694 | + | 0.994816i | \(0.532426\pi\) | |||||||
\(20\) | −233.014 | − | 274.326i | −2.60518 | − | 3.06705i | ||||
\(21\) | −32.8862 | − | 62.0299i | −0.341731 | − | 0.644573i | ||||
\(22\) | 70.2076 | − | 23.6557i | 0.680378 | − | 0.229246i | ||||
\(23\) | 7.06511 | − | 130.308i | 0.0640512 | − | 1.18135i | −0.773064 | − | 0.634328i | \(-0.781277\pi\) |
0.837115 | − | 0.547026i | \(-0.184240\pi\) | |||||||
\(24\) | 130.899 | − | 78.7596i | 1.11332 | − | 0.669864i | ||||
\(25\) | 73.6620 | + | 265.307i | 0.589296 | + | 2.12245i | ||||
\(26\) | −43.6957 | + | 157.378i | −0.329593 | + | 1.18709i | ||||
\(27\) | −23.1351 | − | 13.9200i | −0.164902 | − | 0.0992184i | ||||
\(28\) | 236.253 | − | 348.448i | 1.59456 | − | 2.35180i | ||||
\(29\) | 27.1282 | − | 2.95037i | 0.173710 | − | 0.0188921i | −0.0208508 | − | 0.999783i | \(-0.506637\pi\) |
0.194560 | + | 0.980891i | \(0.437672\pi\) | |||||||
\(30\) | −304.213 | + | 33.0851i | −1.85138 | + | 0.201350i | ||||
\(31\) | −127.019 | + | 187.339i | −0.735911 | + | 1.08539i | 0.256986 | + | 0.966415i | \(0.417271\pi\) |
−0.992897 | + | 0.118973i | \(0.962040\pi\) | |||||||
\(32\) | 156.280 | + | 94.0305i | 0.863333 | + | 0.519450i | ||||
\(33\) | 11.6636 | − | 42.0085i | 0.0615264 | − | 0.221598i | ||||
\(34\) | 151.720 | + | 546.446i | 0.765288 | + | 2.75632i | ||||
\(35\) | −401.228 | + | 241.411i | −1.93771 | + | 1.16588i | ||||
\(36\) | 8.76506 | − | 161.662i | 0.0405790 | − | 0.748435i | ||||
\(37\) | 129.093 | − | 43.4964i | 0.573587 | − | 0.193264i | −0.0175348 | − | 0.999846i | \(-0.505582\pi\) |
0.591122 | + | 0.806582i | \(0.298685\pi\) | |||||||
\(38\) | 303.105 | + | 571.717i | 1.29395 | + | 2.44065i | ||||
\(39\) | 62.2243 | + | 73.2561i | 0.255484 | + | 0.300778i | ||||
\(40\) | −571.784 | − | 843.318i | −2.26017 | − | 3.33351i | ||||
\(41\) | −10.0334 | − | 185.056i | −0.0382185 | − | 0.704900i | −0.953373 | − | 0.301795i | \(-0.902414\pi\) |
0.915154 | − | 0.403104i | \(-0.132069\pi\) | |||||||
\(42\) | −132.479 | − | 332.496i | −0.486712 | − | 1.22155i | ||||
\(43\) | −414.796 | − | 191.905i | −1.47106 | − | 0.680587i | −0.489550 | − | 0.871975i | \(-0.662839\pi\) |
−0.981514 | + | 0.191389i | \(0.938701\pi\) | |||||||
\(44\) | 255.312 | − | 56.1983i | 0.874765 | − | 0.192550i | ||||
\(45\) | −84.3497 | + | 159.100i | −0.279425 | + | 0.527051i | ||||
\(46\) | 107.630 | − | 656.513i | 0.344982 | − | 2.10430i | ||||
\(47\) | 334.404 | − | 254.207i | 1.03782 | − | 0.788934i | 0.0599662 | − | 0.998200i | \(-0.480901\pi\) |
0.977859 | + | 0.209266i | \(0.0671076\pi\) | |||||||
\(48\) | 314.985 | − | 145.728i | 0.947171 | − | 0.438208i | ||||
\(49\) | −148.604 | − | 140.765i | −0.433247 | − | 0.410393i | ||||
\(50\) | 227.090 | + | 1385.19i | 0.642307 | + | 3.91790i | ||||
\(51\) | 316.265 | + | 106.562i | 0.868351 | + | 0.292582i | ||||
\(52\) | −213.325 | + | 535.406i | −0.568901 | + | 1.42783i | ||||
\(53\) | 45.8869 | − | 43.4664i | 0.118925 | − | 0.112652i | −0.625926 | − | 0.779882i | \(-0.715279\pi\) |
0.744852 | + | 0.667230i | \(0.232520\pi\) | |||||||
\(54\) | −109.577 | − | 83.2986i | −0.276141 | − | 0.209917i | ||||
\(55\) | −283.977 | − | 62.5081i | −0.696209 | − | 0.153247i | ||||
\(56\) | 771.505 | − | 908.286i | 1.84101 | − | 2.16741i | ||||
\(57\) | 378.567 | + | 41.1717i | 0.879693 | + | 0.0956724i | ||||
\(58\) | 139.113 | 0.314938 | ||||||||
\(59\) | −449.230 | + | 59.7593i | −0.991268 | + | 0.131864i | ||||
\(60\) | −1079.79 | −2.32334 | ||||||||
\(61\) | 350.211 | + | 38.0877i | 0.735080 | + | 0.0799448i | 0.467999 | − | 0.883729i | \(-0.344975\pi\) |
0.267081 | + | 0.963674i | \(0.413941\pi\) | |||||||
\(62\) | −746.994 | + | 879.430i | −1.53014 | + | 1.80141i | ||||
\(63\) | −205.701 | − | 45.2781i | −0.411363 | − | 0.0905477i | ||||
\(64\) | 3.42113 | + | 2.60068i | 0.00668190 | + | 0.00507945i | ||||
\(65\) | 465.399 | − | 440.849i | 0.888086 | − | 0.841240i | ||||
\(66\) | 82.2659 | − | 206.472i | 0.153428 | − | 0.385075i | ||||
\(67\) | 643.101 | + | 216.686i | 1.17265 | + | 0.395110i | 0.837172 | − | 0.546940i | \(-0.184207\pi\) |
0.335473 | + | 0.942050i | \(0.391104\pi\) | |||||||
\(68\) | 323.752 | + | 1974.80i | 0.577364 | + | 3.52176i | ||||
\(69\) | −284.226 | − | 269.234i | −0.495896 | − | 0.469738i | ||||
\(70\) | −2166.50 | + | 1002.33i | −3.69924 | + | 1.71145i | ||||
\(71\) | −7.19256 | + | 5.46764i | −0.0120225 | + | 0.00913929i | −0.611168 | − | 0.791501i | \(-0.709300\pi\) |
0.599146 | + | 0.800640i | \(0.295507\pi\) | |||||||
\(72\) | 74.1448 | − | 452.263i | 0.121362 | − | 0.740274i | ||||
\(73\) | −151.625 | + | 285.995i | −0.243101 | + | 0.458537i | −0.974797 | − | 0.223094i | \(-0.928384\pi\) |
0.731696 | + | 0.681631i | \(0.238729\pi\) | |||||||
\(74\) | 678.222 | − | 149.288i | 1.06543 | − | 0.234518i | ||||
\(75\) | 749.683 | + | 346.840i | 1.15421 | + | 0.533996i | ||||
\(76\) | 845.166 | + | 2121.21i | 1.27562 | + | 3.20157i | ||||
\(77\) | −18.4127 | − | 339.603i | −0.0272510 | − | 0.502615i | ||||
\(78\) | 274.978 | + | 405.562i | 0.399168 | + | 0.588728i | ||||
\(79\) | 124.201 | + | 146.220i | 0.176882 | + | 0.208242i | 0.843457 | − | 0.537196i | \(-0.180516\pi\) |
−0.666575 | + | 0.745438i | \(0.732241\pi\) | |||||||
\(80\) | −1084.24 | − | 2045.10i | −1.51528 | − | 2.85812i | ||||
\(81\) | −76.7599 | + | 25.8634i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 51.1497 | − | 943.401i | 0.0688847 | − | 1.27050i | ||||
\(83\) | −867.086 | + | 521.708i | −1.14669 | + | 0.689939i | −0.956478 | − | 0.291804i | \(-0.905744\pi\) |
−0.190210 | + | 0.981744i | \(0.560917\pi\) | |||||||
\(84\) | −337.879 | − | 1216.93i | −0.438876 | − | 1.58069i | ||||
\(85\) | 595.478 | − | 2144.72i | 0.759867 | − | 2.73679i | ||||
\(86\) | −1996.43 | − | 1201.21i | −2.50326 | − | 1.50616i | ||||
\(87\) | 45.9413 | − | 67.7583i | 0.0566141 | − | 0.0834995i | ||||
\(88\) | 735.693 | − | 80.0114i | 0.891194 | − | 0.0969232i | ||||
\(89\) | −22.5278 | + | 2.45005i | −0.0268308 | + | 0.00291803i | −0.121525 | − | 0.992588i | \(-0.538778\pi\) |
0.0946938 | + | 0.995506i | \(0.469813\pi\) | |||||||
\(90\) | −515.181 | + | 759.835i | −0.603387 | + | 0.889929i | ||||
\(91\) | 642.467 | + | 386.559i | 0.740097 | + | 0.445302i | ||||
\(92\) | 628.033 | − | 2261.97i | 0.711706 | − | 2.56333i | ||||
\(93\) | 181.657 | + | 654.268i | 0.202548 | + | 0.729510i | ||||
\(94\) | 1834.89 | − | 1104.01i | 2.01334 | − | 1.21139i | ||||
\(95\) | 137.499 | − | 2536.03i | 0.148496 | − | 2.73885i | ||||
\(96\) | 518.520 | − | 174.710i | 0.551263 | − | 0.185742i | ||||
\(97\) | 75.3037 | + | 142.038i | 0.0788241 | + | 0.148678i | 0.919791 | − | 0.392408i | \(-0.128358\pi\) |
−0.840967 | + | 0.541086i | \(0.818013\pi\) | |||||||
\(98\) | −675.542 | − | 795.310i | −0.696327 | − | 0.819780i | ||||
\(99\) | −73.3993 | − | 108.256i | −0.0745142 | − | 0.109900i | ||||
\(100\) | 268.155 | + | 4945.83i | 0.268155 | + | 4.94583i | ||||
\(101\) | −164.150 | − | 411.985i | −0.161718 | − | 0.405882i | 0.825680 | − | 0.564139i | \(-0.190792\pi\) |
−0.987398 | + | 0.158257i | \(0.949412\pi\) | |||||||
\(102\) | 1544.11 | + | 714.380i | 1.49892 | + | 0.693472i | ||||
\(103\) | −1565.55 | + | 344.604i | −1.49765 | + | 0.329659i | −0.886826 | − | 0.462104i | \(-0.847095\pi\) |
−0.610829 | + | 0.791763i | \(0.709164\pi\) | |||||||
\(104\) | −764.202 | + | 1441.44i | −0.720540 | + | 1.35908i | ||||
\(105\) | −227.266 | + | 1386.26i | −0.211228 | + | 1.28843i | ||||
\(106\) | 256.514 | − | 194.997i | 0.235046 | − | 0.178677i | ||||
\(107\) | −1430.04 | + | 661.609i | −1.29203 | + | 0.597758i | −0.940937 | − | 0.338581i | \(-0.890053\pi\) |
−0.351096 | + | 0.936339i | \(0.614191\pi\) | |||||||
\(108\) | −352.615 | − | 334.015i | −0.314170 | − | 0.297598i | ||||
\(109\) | 297.598 | + | 1815.27i | 0.261511 | + | 1.59515i | 0.711878 | + | 0.702303i | \(0.247845\pi\) |
−0.450367 | + | 0.892844i | \(0.648707\pi\) | |||||||
\(110\) | −1404.75 | − | 473.317i | −1.21762 | − | 0.410264i | ||||
\(111\) | 151.265 | − | 379.646i | 0.129346 | − | 0.324634i | ||||
\(112\) | 1965.56 | − | 1861.88i | 1.65829 | − | 1.57082i | ||||
\(113\) | 948.981 | + | 721.397i | 0.790023 | + | 0.600560i | 0.920433 | − | 0.390900i | \(-0.127836\pi\) |
−0.130410 | + | 0.991460i | \(0.541629\pi\) | |||||||
\(114\) | 1895.90 | + | 417.320i | 1.55761 | + | 0.342856i | ||||
\(115\) | −1690.40 | + | 1990.09i | −1.37070 | + | 1.61371i | ||||
\(116\) | 488.005 | + | 53.0737i | 0.390604 | + | 0.0424808i | ||||
\(117\) | 288.348 | 0.227845 | ||||||||
\(118\) | −2309.66 | + | 55.2545i | −1.80187 | + | 0.0431067i | ||||
\(119\) | 2603.44 | 2.00552 | ||||||||
\(120\) | −3038.73 | − | 330.482i | −2.31164 | − | 0.251406i | ||||
\(121\) | −724.947 | + | 853.473i | −0.544663 | + | 0.641227i | ||||
\(122\) | 1753.89 | + | 386.060i | 1.30155 | + | 0.286494i | ||||
\(123\) | −442.614 | − | 336.467i | −0.324465 | − | 0.246652i | ||||
\(124\) | −2955.95 | + | 2800.03i | −2.14074 | + | 2.02782i | ||||
\(125\) | 1113.43 | − | 2794.50i | 0.796706 | − | 1.99958i | ||||
\(126\) | −1017.54 | − | 342.850i | −0.719444 | − | 0.242409i | ||||
\(127\) | −119.522 | − | 729.049i | −0.0835104 | − | 0.509391i | −0.995147 | − | 0.0983947i | \(-0.968629\pi\) |
0.911637 | − | 0.410996i | \(-0.134819\pi\) | |||||||
\(128\) | −1043.39 | − | 988.356i | −0.720499 | − | 0.682493i | ||||
\(129\) | −1244.39 | + | 575.715i | −0.849319 | + | 0.392937i | ||||
\(130\) | 2601.65 | − | 1977.72i | 1.75523 | − | 1.33429i | ||||
\(131\) | −139.479 | + | 850.787i | −0.0930257 | + | 0.567432i | 0.898649 | + | 0.438667i | \(0.144549\pi\) |
−0.991675 | + | 0.128764i | \(0.958899\pi\) | |||||||
\(132\) | 367.359 | − | 692.912i | 0.242231 | − | 0.456896i | ||||
\(133\) | 2901.14 | − | 638.589i | 1.89143 | − | 0.416336i | ||||
\(134\) | 3139.83 | + | 1452.64i | 2.02418 | + | 0.936484i | ||||
\(135\) | 199.960 | + | 501.862i | 0.127480 | + | 0.319951i | ||||
\(136\) | 306.689 | + | 5656.54i | 0.193370 | + | 3.56650i | ||||
\(137\) | −1310.65 | − | 1933.06i | −0.817344 | − | 1.20549i | −0.975916 | − | 0.218145i | \(-0.930000\pi\) |
0.158573 | − | 0.987347i | \(-0.449311\pi\) | |||||||
\(138\) | −1292.07 | − | 1521.15i | −0.797019 | − | 0.938324i | ||||
\(139\) | −447.318 | − | 843.731i | −0.272957 | − | 0.514851i | 0.708699 | − | 0.705510i | \(-0.249282\pi\) |
−0.981656 | + | 0.190659i | \(0.938937\pi\) | |||||||
\(140\) | −7982.44 | + | 2689.60i | −4.81885 | + | 1.62366i | ||||
\(141\) | 68.2241 | − | 1258.32i | 0.0407483 | − | 0.751557i | ||||
\(142\) | −39.4659 | + | 23.7458i | −0.0233232 | + | 0.0140331i | ||||
\(143\) | 124.562 | + | 448.633i | 0.0728421 | + | 0.262354i | ||||
\(144\) | 278.547 | − | 1003.24i | 0.161196 | − | 0.580576i | ||||
\(145\) | −467.842 | − | 281.491i | −0.267946 | − | 0.161218i | ||||
\(146\) | −926.077 | + | 1365.86i | −0.524950 | + | 0.774243i | ||||
\(147\) | −610.469 | + | 66.3925i | −0.342521 | + | 0.0372514i | ||||
\(148\) | 2436.14 | − | 264.946i | 1.35304 | − | 0.147152i | ||||
\(149\) | 752.832 | − | 1110.34i | 0.413922 | − | 0.610489i | −0.562386 | − | 0.826875i | \(-0.690116\pi\) |
0.976308 | + | 0.216386i | \(0.0694268\pi\) | |||||||
\(150\) | 3608.25 | + | 2171.01i | 1.96408 | + | 1.18175i | ||||
\(151\) | 371.603 | − | 1338.39i | 0.200269 | − | 0.721304i | −0.793375 | − | 0.608734i | \(-0.791678\pi\) |
0.993644 | − | 0.112570i | \(-0.0359084\pi\) | |||||||
\(152\) | 1729.23 | + | 6228.13i | 0.922758 | + | 3.32347i | ||||
\(153\) | 857.888 | − | 516.174i | 0.453308 | − | 0.272747i | ||||
\(154\) | 93.8667 | − | 1731.27i | 0.0491169 | − | 0.905907i | ||||
\(155\) | 4291.67 | − | 1446.03i | 2.22397 | − | 0.749342i | ||||
\(156\) | 809.886 | + | 1527.61i | 0.415659 | + | 0.784016i | ||||
\(157\) | 1419.98 | + | 1671.73i | 0.721827 | + | 0.849800i | 0.993646 | − | 0.112548i | \(-0.0359013\pi\) |
−0.271820 | + | 0.962348i | \(0.587625\pi\) | |||||||
\(158\) | 548.860 | + | 809.509i | 0.276361 | + | 0.407602i | ||||
\(159\) | −10.2656 | − | 189.338i | −0.00512023 | − | 0.0944371i | ||||
\(160\) | −1350.75 | − | 3390.12i | −0.667413 | − | 1.67508i | ||||
\(161\) | −2771.78 | − | 1282.36i | −1.35681 | − | 0.627729i | ||||
\(162\) | −403.278 | + | 88.7681i | −0.195583 | + | 0.0430511i | ||||
\(163\) | 1385.47 | − | 2613.28i | 0.665758 | − | 1.25575i | −0.288704 | − | 0.957418i | \(-0.593224\pi\) |
0.954462 | − | 0.298334i | \(-0.0964308\pi\) | |||||||
\(164\) | 539.354 | − | 3289.91i | 0.256808 | − | 1.56646i | ||||
\(165\) | −694.453 | + | 527.909i | −0.327655 | + | 0.249077i | ||||
\(166\) | −4681.98 | + | 2166.12i | −2.18911 | + | 1.01279i | ||||
\(167\) | 507.854 | + | 481.065i | 0.235323 | + | 0.222910i | 0.796269 | − | 0.604943i | \(-0.206804\pi\) |
−0.560946 | + | 0.827852i | \(0.689563\pi\) | |||||||
\(168\) | −578.398 | − | 3528.07i | −0.265621 | − | 1.62022i | ||||
\(169\) | 1109.25 | + | 373.749i | 0.504892 | + | 0.170118i | ||||
\(170\) | 4200.04 | − | 10541.3i | 1.89487 | − | 4.75577i | ||||
\(171\) | 829.377 | − | 785.627i | 0.370901 | − | 0.351336i | ||||
\(172\) | −6545.13 | − | 4975.48i | −2.90152 | − | 2.20568i | ||||
\(173\) | −1047.04 | − | 230.472i | −0.460146 | − | 0.101286i | −0.0211528 | − | 0.999776i | \(-0.506734\pi\) |
−0.438993 | + | 0.898491i | \(0.644665\pi\) | |||||||
\(174\) | 270.180 | − | 318.080i | 0.117714 | − | 0.138584i | ||||
\(175\) | 6406.01 | + | 696.696i | 2.76714 | + | 0.300944i | ||||
\(176\) | 1681.23 | 0.720044 | ||||||||
\(177\) | −735.838 | + | 1143.22i | −0.312480 | + | 0.485479i | ||||
\(178\) | −115.522 | −0.0486447 | ||||||||
\(179\) | −911.428 | − | 99.1238i | −0.380577 | − | 0.0413903i | −0.0841687 | − | 0.996452i | \(-0.526823\pi\) |
−0.296409 | + | 0.955061i | \(0.595789\pi\) | |||||||
\(180\) | −2097.13 | + | 2468.93i | −0.868393 | + | 1.02235i | ||||
\(181\) | −2079.57 | − | 457.748i | −0.853995 | − | 0.187979i | −0.233663 | − | 0.972318i | \(-0.575071\pi\) |
−0.620332 | + | 0.784339i | \(0.713002\pi\) | |||||||
\(182\) | 3042.98 | + | 2313.22i | 1.23935 | + | 0.942126i | ||||
\(183\) | 767.252 | − | 726.780i | 0.309928 | − | 0.293580i | ||||
\(184\) | 2459.70 | − | 6173.37i | 0.985495 | − | 2.47341i | ||||
\(185\) | −2582.96 | − | 870.301i | −1.02650 | − | 0.345869i | ||||
\(186\) | 560.022 | + | 3415.98i | 0.220768 | + | 1.34662i | ||||
\(187\) | 1173.70 | + | 1111.78i | 0.458979 | + | 0.434768i | ||||
\(188\) | 6857.93 | − | 3172.81i | 2.66046 | − | 1.23086i | ||||
\(189\) | −503.031 | + | 382.394i | −0.193599 | + | 0.147170i | ||||
\(190\) | 2094.67 | − | 12776.9i | 0.799806 | − | 4.87860i | ||||
\(191\) | 1078.61 | − | 2034.48i | 0.408616 | − | 0.770731i | −0.590731 | − | 0.806869i | \(-0.701161\pi\) |
0.999347 | + | 0.0361373i | \(0.0115054\pi\) | |||||||
\(192\) | 12.5908 | − | 2.77144i | 0.00473261 | − | 0.00104173i | ||||
\(193\) | 1437.25 | + | 664.941i | 0.536038 | + | 0.247998i | 0.669181 | − | 0.743099i | \(-0.266645\pi\) |
−0.133143 | + | 0.991097i | \(0.542507\pi\) | |||||||
\(194\) | 303.354 | + | 761.360i | 0.112266 | + | 0.281765i | ||||
\(195\) | −104.117 | − | 1920.33i | −0.0382358 | − | 0.705218i | ||||
\(196\) | −2066.36 | − | 3047.65i | −0.753047 | − | 1.11066i | ||||
\(197\) | −1176.23 | − | 1384.77i | −0.425396 | − | 0.500815i | 0.507154 | − | 0.861855i | \(-0.330697\pi\) |
−0.932550 | + | 0.361041i | \(0.882422\pi\) | |||||||
\(198\) | −312.322 | − | 589.101i | −0.112100 | − | 0.211442i | ||||
\(199\) | −1782.01 | + | 600.431i | −0.634792 | + | 0.213886i | −0.618256 | − | 0.785977i | \(-0.712160\pi\) |
−0.0165363 | + | 0.999863i | \(0.505264\pi\) | |||||||
\(200\) | −759.087 | + | 14000.5i | −0.268378 | + | 4.94994i | ||||
\(201\) | 1744.45 | − | 1049.60i | 0.612160 | − | 0.368325i | ||||
\(202\) | −604.839 | − | 2178.43i | −0.210675 | − | 0.758782i | ||||
\(203\) | 170.849 | − | 615.341i | 0.0590700 | − | 0.212751i | ||||
\(204\) | 5144.14 | + | 3095.12i | 1.76550 | + | 1.06227i | ||||
\(205\) | −2080.96 | + | 3069.19i | −0.708979 | + | 1.04567i | ||||
\(206\) | −8124.22 | + | 883.562i | −2.74777 | + | 0.298838i | ||||
\(207\) | −1167.61 | + | 126.985i | −0.392051 | + | 0.0426382i | ||||
\(208\) | −2080.03 | + | 3067.81i | −0.693384 | + | 1.02267i | ||||
\(209\) | 1580.61 | + | 951.023i | 0.523126 | + | 0.314754i | ||||
\(210\) | −1915.88 | + | 6900.37i | −0.629562 | + | 2.26748i | ||||
\(211\) | −701.769 | − | 2527.54i | −0.228966 | − | 0.824660i | −0.985352 | − | 0.170534i | \(-0.945451\pi\) |
0.756386 | − | 0.654126i | \(-0.226963\pi\) | |||||||
\(212\) | 974.240 | − | 586.181i | 0.315618 | − | 0.189901i | ||||
\(213\) | −1.46741 | + | 27.0647i | −0.000472042 | + | 0.00870631i | ||||
\(214\) | −7612.19 | + | 2564.84i | −2.43158 | + | 0.819295i | ||||
\(215\) | 4283.44 | + | 8079.42i | 1.35873 | + | 2.56285i | ||||
\(216\) | −890.093 | − | 1047.90i | −0.280385 | − | 0.330095i | ||||
\(217\) | 2972.59 | + | 4384.25i | 0.929920 | + | 1.37153i | ||||
\(218\) | 507.695 | + | 9363.88i | 0.157731 | + | 2.90918i | ||||
\(219\) | 359.444 | + | 902.136i | 0.110909 | + | 0.278359i | ||||
\(220\) | −4747.26 | − | 2196.32i | −1.45482 | − | 0.673072i | ||||
\(221\) | −3480.81 | + | 766.185i | −1.05948 | + | 0.233209i | ||||
\(222\) | 975.870 | − | 1840.69i | 0.295027 | − | 0.556481i | ||||
\(223\) | 519.316 | − | 3167.69i | 0.155946 | − | 0.951229i | −0.786676 | − | 0.617366i | \(-0.788200\pi\) |
0.942622 | − | 0.333862i | \(-0.108352\pi\) | |||||||
\(224\) | 3398.02 | − | 2583.11i | 1.01357 | − | 0.770496i | ||||
\(225\) | 2249.05 | − | 1040.52i | 0.666385 | − | 0.308303i | ||||
\(226\) | 4411.85 | + | 4179.13i | 1.29855 | + | 1.23005i | ||||
\(227\) | −728.690 | − | 4444.81i | −0.213061 | − | 1.29961i | −0.849213 | − | 0.528051i | \(-0.822923\pi\) |
0.636152 | − | 0.771564i | \(-0.280525\pi\) | |||||||
\(228\) | 6491.56 | + | 2187.26i | 1.88559 | + | 0.635329i | ||||
\(229\) | −1383.46 | + | 3472.22i | −0.399221 | + | 1.00197i | 0.582702 | + | 0.812686i | \(0.301996\pi\) |
−0.981923 | + | 0.189283i | \(0.939384\pi\) | |||||||
\(230\) | −9663.91 | + | 9154.14i | −2.77052 | + | 2.62437i | ||||
\(231\) | −812.258 | − | 617.462i | −0.231353 | − | 0.175870i | ||||
\(232\) | 1357.09 | + | 298.718i | 0.384040 | + | 0.0845336i | ||||
\(233\) | 1165.86 | − | 1372.56i | 0.327803 | − | 0.385920i | −0.573430 | − | 0.819255i | \(-0.694387\pi\) |
0.901233 | + | 0.433335i | \(0.142663\pi\) | |||||||
\(234\) | 1461.36 | + | 158.933i | 0.408257 | + | 0.0444006i | ||||
\(235\) | −8404.72 | −2.33304 | ||||||||
\(236\) | −8123.29 | − | 687.337i | −2.24060 | − | 0.189584i | ||||
\(237\) | 575.549 | 0.157746 | ||||||||
\(238\) | 13194.3 | + | 1434.97i | 3.59353 | + | 0.390820i | ||||
\(239\) | 3478.20 | − | 4094.85i | 0.941364 | − | 1.10826i | −0.0526067 | − | 0.998615i | \(-0.516753\pi\) |
0.993971 | − | 0.109644i | \(-0.0349712\pi\) | |||||||
\(240\) | −6781.87 | − | 1492.80i | −1.82403 | − | 0.401500i | ||||
\(241\) | 2744.56 | + | 2086.36i | 0.733580 | + | 0.557653i | 0.903904 | − | 0.427735i | \(-0.140688\pi\) |
−0.170324 | + | 0.985388i | \(0.554482\pi\) | |||||||
\(242\) | −4144.48 | + | 3925.86i | −1.10090 | + | 1.04283i | ||||
\(243\) | −89.9436 | + | 225.741i | −0.0237444 | + | 0.0595939i | ||||
\(244\) | 6005.31 | + | 2023.42i | 1.57562 | + | 0.530887i | ||||
\(245\) | 662.585 | + | 4041.59i | 0.172780 | + | 1.05391i | ||||
\(246\) | −2057.73 | − | 1949.19i | −0.533318 | − | 0.505186i | ||||
\(247\) | −3690.91 | + | 1707.60i | −0.950797 | + | 0.439885i | ||||
\(248\) | −9175.56 | + | 6975.08i | −2.34939 | + | 1.78596i | ||||
\(249\) | −491.140 | + | 2995.82i | −0.124999 | + | 0.762460i | ||||
\(250\) | 7183.19 | − | 13548.9i | 1.81722 | − | 3.42764i | ||||
\(251\) | 1053.95 | − | 231.992i | 0.265038 | − | 0.0583394i | −0.0804630 | − | 0.996758i | \(-0.525640\pi\) |
0.345501 | + | 0.938418i | \(0.387709\pi\) | |||||||
\(252\) | −3438.71 | − | 1590.92i | −0.859596 | − | 0.397692i | ||||
\(253\) | −701.964 | − | 1761.80i | −0.174435 | − | 0.437799i | ||||
\(254\) | −203.901 | − | 3760.73i | −0.0503696 | − | 0.929012i | ||||
\(255\) | −3747.36 | − | 5526.94i | −0.920269 | − | 1.35729i | ||||
\(256\) | −4765.46 | − | 5610.33i | −1.16344 | − | 1.36971i | ||||
\(257\) | −2998.45 | − | 5655.67i | −0.727774 | − | 1.37273i | −0.920213 | − | 0.391419i | \(-0.871984\pi\) |
0.192438 | − | 0.981309i | \(-0.438361\pi\) | |||||||
\(258\) | −6623.93 | + | 2231.86i | −1.59840 | + | 0.538564i | ||||
\(259\) | 172.595 | − | 3183.33i | 0.0414075 | − | 0.763717i | ||||
\(260\) | 9881.04 | − | 5945.22i | 2.35691 | − | 1.41810i | ||||
\(261\) | −65.7032 | − | 236.642i | −0.0155821 | − | 0.0561216i | ||||
\(262\) | −1175.83 | + | 4234.94i | −0.277262 | + | 0.998609i | ||||
\(263\) | 3804.76 | + | 2289.25i | 0.892059 | + | 0.536734i | 0.886228 | − | 0.463249i | \(-0.153316\pi\) |
0.00583101 | + | 0.999983i | \(0.498144\pi\) | |||||||
\(264\) | 1245.89 | − | 1837.55i | 0.290451 | − | 0.428383i | ||||
\(265\) | −1257.24 | + | 136.733i | −0.291440 | + | 0.0316960i | ||||
\(266\) | 15055.1 | − | 1637.34i | 3.47025 | − | 0.377412i | ||||
\(267\) | −38.1506 | + | 56.2679i | −0.00874449 | + | 0.0128972i | ||||
\(268\) | 10460.2 | + | 6293.71i | 2.38418 | + | 1.43451i | ||||
\(269\) | −790.575 | + | 2847.39i | −0.179190 | + | 0.645385i | 0.818313 | + | 0.574772i | \(0.194909\pi\) |
−0.997504 | + | 0.0706130i | \(0.977504\pi\) | |||||||
\(270\) | 736.789 | + | 2653.67i | 0.166072 | + | 0.598139i | ||||
\(271\) | −4307.25 | + | 2591.59i | −0.965486 | + | 0.580914i | −0.908690 | − | 0.417472i | \(-0.862916\pi\) |
−0.0567966 | + | 0.998386i | \(0.518089\pi\) | |||||||
\(272\) | −696.748 | + | 12850.8i | −0.155318 | + | 2.86468i | ||||
\(273\) | 2131.64 | − | 718.232i | 0.472573 | − | 0.159228i | ||||
\(274\) | −5576.94 | − | 10519.2i | −1.22962 | − | 2.31931i | ||||
\(275\) | 2590.47 | + | 3049.74i | 0.568041 | + | 0.668750i | ||||
\(276\) | −3952.22 | − | 5829.09i | −0.861941 | − | 1.27127i | ||||
\(277\) | 151.343 | + | 2791.36i | 0.0328279 | + | 0.605475i | 0.967949 | + | 0.251147i | \(0.0808078\pi\) |
−0.935121 | + | 0.354328i | \(0.884709\pi\) | |||||||
\(278\) | −1801.97 | − | 4522.61i | −0.388760 | − | 0.975714i | ||||
\(279\) | 1848.78 | + | 855.338i | 0.396716 | + | 0.183540i | ||||
\(280\) | −23287.2 | + | 5125.90i | −4.97027 | + | 1.09404i | ||||
\(281\) | −3495.46 | + | 6593.13i | −0.742069 | + | 1.39969i | 0.168234 | + | 0.985747i | \(0.446194\pi\) |
−0.910303 | + | 0.413943i | \(0.864151\pi\) | |||||||
\(282\) | 1039.33 | − | 6339.61i | 0.219472 | − | 1.33872i | ||||
\(283\) | 3260.37 | − | 2478.47i | 0.684838 | − | 0.520600i | −0.203914 | − | 0.978989i | \(-0.565366\pi\) |
0.888752 | + | 0.458388i | \(0.151573\pi\) | |||||||
\(284\) | −147.505 | + | 68.2429i | −0.0308197 | + | 0.0142587i | ||||
\(285\) | −5531.55 | − | 5239.76i | −1.14969 | − | 1.08904i | ||||
\(286\) | 384.008 | + | 2342.35i | 0.0793946 | + | 0.484286i | ||||
\(287\) | −4110.14 | − | 1384.87i | −0.845345 | − | 0.284830i | ||||
\(288\) | 607.577 | − | 1524.90i | 0.124312 | − | 0.311999i | ||||
\(289\) | −5417.68 | + | 5131.90i | −1.10272 | + | 1.04456i | ||||
\(290\) | −2215.89 | − | 1684.47i | −0.448694 | − | 0.341089i | ||||
\(291\) | 471.020 | + | 103.679i | 0.0948854 | + | 0.0208859i | ||||
\(292\) | −3769.75 | + | 4438.09i | −0.755507 | + | 0.889451i | ||||
\(293\) | −2855.12 | − | 310.513i | −0.569276 | − | 0.0619125i | −0.181045 | − | 0.983475i | \(-0.557948\pi\) |
−0.388231 | + | 0.921562i | \(0.626914\pi\) | |||||||
\(294\) | −3130.47 | −0.620997 | ||||||||
\(295\) | 7879.25 | + | 4487.70i | 1.55508 | + | 0.885708i | ||||
\(296\) | 6936.82 | 1.36214 | ||||||||
\(297\) | −390.079 | − | 42.4236i | −0.0762109 | − | 0.00828844i | ||||
\(298\) | 4427.38 | − | 5212.32i | 0.860642 | − | 1.01323i | ||||
\(299\) | 4083.29 | + | 898.800i | 0.789775 | + | 0.173843i | ||||
\(300\) | 11829.4 | + | 8992.46i | 2.27657 | + | 1.73060i | ||||
\(301\) | −7765.20 | + | 7355.59i | −1.48697 | + | 1.40854i | ||||
\(302\) | 2621.00 | − | 6578.21i | 0.499409 | − | 1.25342i | ||||
\(303\) | −1260.80 | − | 424.814i | −0.239047 | − | 0.0805443i | ||||
\(304\) | 2375.70 | + | 14491.1i | 0.448210 | + | 2.73396i | ||||
\(305\) | −5117.20 | − | 4847.27i | −0.960689 | − | 0.910013i | ||||
\(306\) | 4632.32 | − | 2143.14i | 0.865399 | − | 0.400376i | ||||
\(307\) | −8196.14 | + | 6230.55i | −1.52371 | + | 1.15829i | −0.586284 | + | 0.810106i | \(0.699410\pi\) |
−0.937425 | + | 0.348188i | \(0.886797\pi\) | |||||||
\(308\) | 989.788 | − | 6037.44i | 0.183112 | − | 1.11693i | ||||
\(309\) | −2252.62 | + | 4248.89i | −0.414715 | + | 0.782236i | ||||
\(310\) | 22547.4 | − | 4963.05i | 4.13098 | − | 0.909298i | ||||
\(311\) | 1768.46 | + | 818.175i | 0.322444 | + | 0.149178i | 0.574433 | − | 0.818552i | \(-0.305223\pi\) |
−0.251989 | + | 0.967730i | \(0.581085\pi\) | |||||||
\(312\) | 1811.63 | + | 4546.84i | 0.328728 | + | 0.825045i | ||||
\(313\) | −272.628 | − | 5028.33i | −0.0492327 | − | 0.908045i | −0.913960 | − | 0.405803i | \(-0.866992\pi\) |
0.864728 | − | 0.502241i | \(-0.167491\pi\) | |||||||
\(314\) | 6275.09 | + | 9255.06i | 1.12778 | + | 1.66335i | ||||
\(315\) | 2728.28 | + | 3211.98i | 0.488004 | + | 0.574523i | ||||
\(316\) | 1616.55 | + | 3049.13i | 0.287778 | + | 0.542807i | ||||
\(317\) | −1900.92 | + | 640.494i | −0.336802 | + | 0.113482i | −0.482621 | − | 0.875830i | \(-0.660315\pi\) |
0.145818 | + | 0.989311i | \(0.453418\pi\) | |||||||
\(318\) | 52.3334 | − | 965.232i | 0.00922865 | − | 0.170212i | ||||
\(319\) | 339.801 | − | 204.451i | 0.0596401 | − | 0.0358843i | ||||
\(320\) | −23.0034 | − | 82.8507i | −0.00401853 | − | 0.0144734i | ||||
\(321\) | −1264.61 | + | 4554.72i | −0.219887 | + | 0.791962i | ||||
\(322\) | −13340.7 | − | 8026.83i | −2.30884 | − | 1.38919i | ||||
\(323\) | −7924.34 | + | 11687.5i | −1.36508 | + | 2.01335i | ||||
\(324\) | −1448.55 | + | 157.540i | −0.248380 | + | 0.0270130i | ||||
\(325\) | −8769.92 | + | 953.786i | −1.49682 | + | 0.162789i | ||||
\(326\) | 8462.02 | − | 12480.5i | 1.43763 | − | 2.12035i | ||||
\(327\) | 4728.57 | + | 2845.08i | 0.799664 | + | 0.481142i | ||||
\(328\) | 2524.75 | − | 9093.33i | 0.425018 | − | 1.53078i | ||||
\(329\) | −2629.93 | − | 9472.15i | −0.440707 | − | 1.58728i | ||||
\(330\) | −3810.49 | + | 2292.70i | −0.635638 | + | 0.382451i | ||||
\(331\) | 79.1659 | − | 1460.13i | 0.0131461 | − | 0.242465i | −0.984574 | − | 0.174971i | \(-0.944017\pi\) |
0.997720 | − | 0.0674941i | \(-0.0215004\pi\) | |||||||
\(332\) | −17250.7 | + | 5812.43i | −2.85167 | + | 0.960839i | ||||
\(333\) | −574.275 | − | 1083.20i | −0.0945047 | − | 0.178255i | ||||
\(334\) | 2308.67 | + | 2717.98i | 0.378218 | + | 0.445273i | ||||
\(335\) | −7619.97 | − | 11238.6i | −1.24276 | − | 1.83293i | ||||
\(336\) | −439.728 | − | 8110.31i | −0.0713962 | − | 1.31683i | ||||
\(337\) | −625.745 | − | 1570.50i | −0.101147 | − | 0.253859i | 0.869691 | − | 0.493597i | \(-0.164318\pi\) |
−0.970838 | + | 0.239737i | \(0.922939\pi\) | |||||||
\(338\) | 5415.71 | + | 2505.57i | 0.871526 | + | 0.403211i | ||||
\(339\) | 3492.54 | − | 768.765i | 0.559553 | − | 0.123167i | ||||
\(340\) | 18755.3 | − | 35376.2i | 2.99161 | − | 5.64278i | ||||
\(341\) | −532.148 | + | 3245.96i | −0.0845086 | + | 0.515479i | ||||
\(342\) | 4636.34 | − | 3524.45i | 0.733054 | − | 0.557253i | ||||
\(343\) | 2937.68 | − | 1359.12i | 0.462449 | − | 0.213952i | ||||
\(344\) | −16896.4 | − | 16005.1i | −2.64823 | − | 2.50854i | ||||
\(345\) | 1267.29 | + | 7730.14i | 0.197764 | + | 1.20631i | ||||
\(346\) | −5179.43 | − | 1745.15i | −0.804762 | − | 0.271156i | ||||
\(347\) | −1508.77 | + | 3786.72i | −0.233415 | + | 0.585827i | −0.998297 | − | 0.0583439i | \(-0.981418\pi\) |
0.764882 | + | 0.644171i | \(0.222797\pi\) | |||||||
\(348\) | 1069.13 | − | 1012.74i | 0.164689 | − | 0.156001i | ||||
\(349\) | 10053.1 | + | 7642.14i | 1.54191 | + | 1.17213i | 0.921828 | + | 0.387600i | \(0.126696\pi\) |
0.620087 | + | 0.784533i | \(0.287097\pi\) | |||||||
\(350\) | 32081.9 | + | 7061.77i | 4.89957 | + | 1.07848i | ||||
\(351\) | 560.018 | − | 659.305i | 0.0851612 | − | 0.100259i | ||||
\(352\) | 2635.01 | + | 286.575i | 0.398996 | + | 0.0433935i | ||||
\(353\) | 8063.56 | 1.21581 | 0.607904 | − | 0.794011i | \(-0.292011\pi\) | ||||
0.607904 | + | 0.794011i | \(0.292011\pi\) | |||||||
\(354\) | −4359.38 | + | 5388.31i | −0.654515 | + | 0.808998i | ||||
\(355\) | 180.774 | 0.0270267 | ||||||||
\(356\) | −405.249 | − | 44.0735i | −0.0603319 | − | 0.00656149i | ||||
\(357\) | 5056.29 | − | 5952.72i | 0.749600 | − | 0.882497i | ||||
\(358\) | −4564.52 | − | 1004.73i | −0.673861 | − | 0.148328i | ||||
\(359\) | 1964.63 | + | 1493.47i | 0.288827 | + | 0.219561i | 0.739547 | − | 0.673105i | \(-0.235040\pi\) |
−0.450720 | + | 0.892665i | \(0.648833\pi\) | |||||||
\(360\) | −6657.34 | + | 6306.17i | −0.974646 | + | 0.923234i | ||||
\(361\) | −3424.91 | + | 8595.87i | −0.499330 | + | 1.25322i | ||||
\(362\) | −10287.0 | − | 3466.11i | −1.49358 | − | 0.503245i | ||||
\(363\) | 543.493 | + | 3315.16i | 0.0785840 | + | 0.479341i | ||||
\(364\) | 9792.18 | + | 9275.64i | 1.41003 | + | 1.33565i | ||||
\(365\) | 5878.21 | − | 2719.55i | 0.842957 | − | 0.389994i | ||||
\(366\) | 4289.05 | − | 3260.45i | 0.612547 | − | 0.465646i | ||||
\(367\) | 1103.58 | − | 6731.52i | 0.156965 | − | 0.957446i | −0.784449 | − | 0.620194i | \(-0.787054\pi\) |
0.941414 | − | 0.337253i | \(-0.109498\pi\) | |||||||
\(368\) | 7071.64 | − | 13338.5i | 1.00173 | − | 1.88945i | ||||
\(369\) | −1628.95 | + | 358.560i | −0.229810 | + | 0.0505850i | ||||
\(370\) | −12610.9 | − | 5834.40i | −1.77191 | − | 0.819774i | ||||
\(371\) | −547.502 | − | 1374.13i | −0.0766169 | − | 0.192294i | ||||
\(372\) | 661.293 | + | 12196.8i | 0.0921679 | + | 1.69994i | ||||
\(373\) | −3724.55 | − | 5493.30i | −0.517024 | − | 0.762554i | 0.476129 | − | 0.879376i | \(-0.342040\pi\) |
−0.993153 | + | 0.116822i | \(0.962729\pi\) | |||||||
\(374\) | 5335.54 | + | 6281.48i | 0.737685 | + | 0.868470i | ||||
\(375\) | −4227.12 | − | 7973.20i | −0.582101 | − | 1.09796i | ||||
\(376\) | 20270.5 | − | 6829.93i | 2.78024 | − | 0.936773i | ||||
\(377\) | −47.3324 | + | 872.995i | −0.00646617 | + | 0.119261i | ||||
\(378\) | −2760.15 | + | 1660.73i | −0.375574 | + | 0.225975i | ||||
\(379\) | 2614.07 | + | 9415.01i | 0.354289 | + | 1.27603i | 0.899199 | + | 0.437539i | \(0.144150\pi\) |
−0.544910 | + | 0.838494i | \(0.683436\pi\) | |||||||
\(380\) | 12222.6 | − | 44021.9i | 1.65002 | − | 5.94283i | ||||
\(381\) | −1899.09 | − | 1142.64i | −0.255363 | − | 0.153647i | ||||
\(382\) | 6587.82 | − | 9716.30i | 0.882361 | − | 1.30139i | ||||
\(383\) | −1890.39 | + | 205.592i | −0.252205 | + | 0.0274289i | −0.233348 | − | 0.972393i | \(-0.574968\pi\) |
−0.0188566 | + | 0.999822i | \(0.506003\pi\) | |||||||
\(384\) | −4286.30 | + | 466.163i | −0.569621 | + | 0.0619500i | ||||
\(385\) | −3818.85 | + | 5632.38i | −0.505524 | + | 0.745592i | ||||
\(386\) | 6917.52 | + | 4162.14i | 0.912157 | + | 0.548827i | ||||
\(387\) | −1100.43 | + | 3963.40i | −0.144543 | + | 0.520597i | ||||
\(388\) | 773.686 | + | 2786.56i | 0.101232 | + | 0.364604i | ||||
\(389\) | −7497.52 | + | 4511.11i | −0.977222 | + | 0.587975i | −0.912129 | − | 0.409904i | \(-0.865562\pi\) |
−0.0650938 | + | 0.997879i | \(0.520735\pi\) | |||||||
\(390\) | 530.781 | − | 9789.68i | 0.0689157 | − | 1.27108i | ||||
\(391\) | 13757.5 | − | 4635.43i | 1.77940 | − | 0.599550i | ||||
\(392\) | −4882.34 | − | 9209.08i | −0.629070 | − | 1.18655i | ||||
\(393\) | 1674.42 | + | 1971.28i | 0.214919 | + | 0.253023i | ||||
\(394\) | −5197.93 | − | 7666.37i | −0.664639 | − | 0.980269i | ||||
\(395\) | −207.820 | − | 3833.01i | −0.0264722 | − | 0.488252i | ||||
\(396\) | −870.865 | − | 2185.71i | −0.110512 | − | 0.277363i | ||||
\(397\) | −3147.38 | − | 1456.13i | −0.397891 | − | 0.184084i | 0.210731 | − | 0.977544i | \(-0.432415\pi\) |
−0.608622 | + | 0.793460i | \(0.708278\pi\) | |||||||
\(398\) | −9362.27 | + | 2060.79i | −1.17912 | + | 0.259543i | ||||
\(399\) | 4174.35 | − | 7873.65i | 0.523756 | − | 0.987909i | ||||
\(400\) | −5153.36 | + | 31434.1i | −0.644170 | + | 3.92926i | ||||
\(401\) | 4839.36 | − | 3678.79i | 0.602659 | − | 0.458129i | −0.258818 | − | 0.965926i | \(-0.583333\pi\) |
0.861477 | + | 0.507797i | \(0.169540\pi\) | |||||||
\(402\) | 9419.48 | − | 4357.91i | 1.16866 | − | 0.540679i | ||||
\(403\) | −5264.65 | − | 4986.94i | −0.650747 | − | 0.616420i | ||||
\(404\) | −1290.65 | − | 7872.64i | −0.158942 | − | 0.969501i | ||||
\(405\) | 1535.86 | + | 517.490i | 0.188438 | + | 0.0634921i | ||||
\(406\) | 1205.03 | − | 3024.40i | 0.147302 | − | 0.369701i | ||||
\(407\) | 1437.24 | − | 1361.42i | 0.175040 | − | 0.165806i | ||||
\(408\) | 13529.2 | + | 10284.7i | 1.64166 | + | 1.24796i | ||||
\(409\) | −873.447 | − | 192.260i | −0.105597 | − | 0.0232437i | 0.161858 | − | 0.986814i | \(-0.448251\pi\) |
−0.267455 | + | 0.963570i | \(0.586183\pi\) | |||||||
\(410\) | −12238.1 | + | 14407.8i | −1.47414 | + | 1.73549i | ||||
\(411\) | −6965.40 | − | 757.533i | −0.835955 | − | 0.0909156i | ||||
\(412\) | −28836.6 | −3.44825 | ||||||||
\(413\) | −2592.14 | + | 10284.2i | −0.308840 | + | 1.22531i | ||||
\(414\) | −5987.50 | −0.710796 | ||||||||
\(415\) | 20128.7 | + | 2189.13i | 2.38092 | + | 0.258940i | ||||
\(416\) | −3782.97 | + | 4453.66i | −0.445855 | + | 0.524901i | ||||
\(417\) | −2797.94 | − | 615.873i | −0.328575 | − | 0.0723248i | ||||
\(418\) | 7486.42 | + | 5691.03i | 0.876011 | + | 0.665927i | ||||
\(419\) | 3529.90 | − | 3343.70i | 0.411568 | − | 0.389858i | −0.453711 | − | 0.891149i | \(-0.649900\pi\) |
0.865279 | + | 0.501291i | \(0.167141\pi\) | |||||||
\(420\) | −9353.44 | + | 23475.4i | −1.08667 | + | 2.72733i | ||||
\(421\) | −8553.45 | − | 2881.99i | −0.990189 | − | 0.333634i | −0.222834 | − | 0.974856i | \(-0.571531\pi\) |
−0.767355 | + | 0.641223i | \(0.778427\pi\) | |||||||
\(422\) | −2163.46 | − | 13196.5i | −0.249562 | − | 1.52226i | ||||
\(423\) | −2744.63 | − | 2599.85i | −0.315481 | − | 0.298839i | ||||
\(424\) | 2921.09 | − | 1351.44i | 0.334578 | − | 0.154792i | ||||
\(425\) | −24384.7 | + | 18536.8i | −2.78313 | + | 2.11568i | ||||
\(426\) | −22.3545 | + | 136.356i | −0.00254244 | + | 0.0155082i | ||||
\(427\) | 3861.67 | − | 7283.87i | 0.437656 | − | 0.825507i | ||||
\(428\) | −27681.9 | + | 6093.24i | −3.12629 | + | 0.688149i | ||||
\(429\) | 1267.71 | + | 586.506i | 0.142671 | + | 0.0660065i | ||||
\(430\) | 17255.4 | + | 43307.8i | 1.93518 | + | 4.85695i | ||||
\(431\) | 388.183 | + | 7159.61i | 0.0433831 | + | 0.800154i | 0.936573 | + | 0.350474i | \(0.113979\pi\) |
−0.893189 | + | 0.449681i | \(0.851538\pi\) | |||||||
\(432\) | −1752.90 | − | 2585.34i | −0.195223 | − | 0.287933i | ||||
\(433\) | 2891.94 | + | 3404.65i | 0.320964 | + | 0.377869i | 0.898855 | − | 0.438246i | \(-0.144400\pi\) |
−0.577891 | + | 0.816114i | \(0.696124\pi\) | |||||||
\(434\) | 12648.7 | + | 23858.0i | 1.39898 | + | 2.63875i | ||||
\(435\) | −1552.25 | + | 523.013i | −0.171091 | + | 0.0576473i | ||||
\(436\) | −1791.48 | + | 33041.9i | −0.196781 | + | 3.62941i | ||||
\(437\) | 14193.6 | − | 8540.02i | 1.55371 | − | 0.934839i | ||||
\(438\) | 1324.43 | + | 4770.18i | 0.144484 | + | 0.520384i | ||||
\(439\) | 3882.38 | − | 13983.1i | 0.422086 | − | 1.52022i | −0.381126 | − | 0.924523i | \(-0.624464\pi\) |
0.803212 | − | 0.595693i | \(-0.203123\pi\) | |||||||
\(440\) | −12687.4 | − | 7633.78i | −1.37466 | − | 0.827105i | ||||
\(441\) | −1033.82 | + | 1524.77i | −0.111632 | + | 0.164645i | ||||
\(442\) | −18063.2 | + | 1964.49i | −1.94384 | + | 0.211406i | ||||
\(443\) | 849.135 | − | 92.3490i | 0.0910691 | − | 0.00990436i | −0.0624710 | − | 0.998047i | \(-0.519898\pi\) |
0.153540 | + | 0.988142i | \(0.450933\pi\) | |||||||
\(444\) | 4125.57 | − | 6084.77i | 0.440971 | − | 0.650383i | ||||
\(445\) | 388.505 | + | 233.756i | 0.0413863 | + | 0.0249013i | ||||
\(446\) | 4377.89 | − | 15767.7i | 0.464796 | − | 1.67404i | ||||
\(447\) | −1076.67 | − | 3877.80i | −0.113925 | − | 0.410322i | ||||
\(448\) | 86.1750 | − | 51.8498i | 0.00908792 | − | 0.00546802i | ||||
\(449\) | 510.761 | − | 9420.43i | 0.0536844 | − | 0.990150i | −0.840320 | − | 0.542091i | \(-0.817633\pi\) |
0.894004 | − | 0.448059i | \(-0.147885\pi\) | |||||||
\(450\) | 11971.8 | − | 4033.77i | 1.25412 | − | 0.422564i | ||||
\(451\) | −1261.56 | − | 2379.55i | −0.131717 | − | 0.248445i | ||||
\(452\) | 13882.3 | + | 16343.5i | 1.44462 | + | 1.70073i | ||||
\(453\) | −2338.51 | − | 3449.04i | −0.242544 | − | 0.357726i | ||||
\(454\) | −1243.13 | − | 22928.1i | −0.128508 | − | 2.37020i | ||||
\(455\) | −5552.93 | − | 13936.8i | −0.572144 | − | 1.43597i | ||||
\(456\) | 17599.0 | + | 8142.16i | 1.80734 | + | 0.836165i | ||||
\(457\) | 4651.67 | − | 1023.91i | 0.476140 | − | 0.104806i | 0.0295844 | − | 0.999562i | \(-0.490582\pi\) |
0.446555 | + | 0.894756i | \(0.352651\pi\) | |||||||
\(458\) | −8925.26 | + | 16834.8i | −0.910590 | + | 1.71755i | ||||
\(459\) | 485.930 | − | 2964.04i | 0.0494145 | − | 0.301415i | ||||
\(460\) | −37393.2 | + | 28425.5i | −3.79014 | + | 2.88119i | ||||
\(461\) | 4594.73 | − | 2125.75i | 0.464203 | − | 0.214763i | −0.173825 | − | 0.984777i | \(-0.555613\pi\) |
0.638028 | + | 0.770013i | \(0.279750\pi\) | |||||||
\(462\) | −3776.22 | − | 3577.03i | −0.380272 | − | 0.360213i | ||||
\(463\) | −833.754 | − | 5085.68i | −0.0836887 | − | 0.510478i | −0.995091 | − | 0.0989622i | \(-0.968448\pi\) |
0.911403 | − | 0.411516i | \(-0.135001\pi\) | |||||||
\(464\) | 2991.64 | + | 1008.00i | 0.299318 | + | 0.100852i | ||||
\(465\) | 5028.77 | − | 12621.3i | 0.501513 | − | 1.25870i | ||||
\(466\) | 6665.17 | − | 6313.58i | 0.662571 | − | 0.627620i | ||||
\(467\) | −6831.88 | − | 5193.46i | −0.676963 | − | 0.514614i | 0.209268 | − | 0.977858i | \(-0.432892\pi\) |
−0.886230 | + | 0.463245i | \(0.846685\pi\) | |||||||
\(468\) | 5065.78 | + | 1115.06i | 0.500354 | + | 0.110136i | ||||
\(469\) | 10281.6 | − | 12104.4i | 1.01228 | − | 1.19175i | ||||
\(470\) | −42595.4 | − | 4632.53i | −4.18039 | − | 0.454644i | ||||
\(471\) | 6580.21 | 0.643737 | ||||||||
\(472\) | −22650.0 | − | 4420.51i | −2.20880 | − | 0.431081i | ||||
\(473\) | −6641.91 | −0.645656 | ||||||||
\(474\) | 2916.90 | + | 317.232i | 0.282654 | + | 0.0307404i | ||||
\(475\) | −22626.3 | + | 26637.7i | −2.18561 | + | 2.57310i | ||||
\(476\) | 45737.9 | + | 10067.7i | 4.40418 | + | 0.969434i | ||||
\(477\) | −452.857 | − | 344.253i | −0.0434694 | − | 0.0330446i | ||||
\(478\) | 19884.7 | − | 18835.8i | 1.90273 | − | 1.80236i | ||||
\(479\) | 699.826 | − | 1756.43i | 0.0667554 | − | 0.167543i | −0.891814 | − | 0.452402i | \(-0.850567\pi\) |
0.958570 | + | 0.284858i | \(0.0919466\pi\) | |||||||
\(480\) | −10374.8 | − | 3495.69i | −0.986551 | − | 0.332408i | ||||
\(481\) | 706.086 | + | 4306.93i | 0.0669330 | + | 0.408273i | ||||
\(482\) | 12759.6 | + | 12086.5i | 1.20577 | + | 1.14217i | ||||
\(483\) | −8315.35 | + | 3847.09i | −0.783357 | + | 0.362420i | ||||
\(484\) | −16036.5 | + | 12190.6i | −1.50606 | + | 1.14487i | ||||
\(485\) | 520.401 | − | 3174.31i | 0.0487220 | − | 0.297191i | ||||
\(486\) | −580.262 | + | 1094.49i | −0.0541589 | + | 0.102155i | ||||
\(487\) | 987.104 | − | 217.278i | 0.0918479 | − | 0.0202173i | −0.168809 | − | 0.985649i | \(-0.553992\pi\) |
0.260657 | + | 0.965432i | \(0.416061\pi\) | |||||||
\(488\) | 16280.7 | + | 7532.26i | 1.51023 | + | 0.698708i | ||||
\(489\) | −3284.41 | − | 8243.26i | −0.303735 | − | 0.762317i | ||||
\(490\) | 1130.35 | + | 20848.2i | 0.104213 | + | 1.92209i | ||||
\(491\) | 10782.1 | + | 15902.4i | 0.991015 | + | 1.46164i | 0.884060 | + | 0.467374i | \(0.154800\pi\) |
0.106955 | + | 0.994264i | \(0.465890\pi\) | |||||||
\(492\) | −6474.83 | − | 7622.76i | −0.593308 | − | 0.698497i | ||||
\(493\) | 1421.93 | + | 2682.05i | 0.129900 | + | 0.245017i | ||||
\(494\) | −19646.9 | + | 6619.80i | −1.78938 | + | 0.602913i | ||||
\(495\) | −141.680 | + | 2613.14i | −0.0128648 | + | 0.237277i | ||||
\(496\) | −22436.5 | + | 13499.6i | −2.03111 | + | 1.22208i | ||||
\(497\) | 56.5662 | + | 203.733i | 0.00510531 | + | 0.0183877i | ||||
\(498\) | −4140.36 | + | 14912.2i | −0.372558 | + | 1.34183i | ||||
\(499\) | 10406.0 | + | 6261.08i | 0.933540 | + | 0.561692i | 0.899114 | − | 0.437715i | \(-0.144212\pi\) |
0.0344260 | + | 0.999407i | \(0.489040\pi\) | |||||||
\(500\) | 30367.5 | − | 44788.8i | 2.71616 | − | 4.00603i | ||||
\(501\) | 2086.28 | − | 226.897i | 0.186044 | − | 0.0202335i | ||||
\(502\) | 5469.32 | − | 594.825i | 0.486271 | − | 0.0528851i | ||||
\(503\) | −2609.19 | + | 3848.27i | −0.231288 | + | 0.341125i | −0.925569 | − | 0.378580i | \(-0.876413\pi\) |
0.694280 | + | 0.719705i | \(0.255723\pi\) | |||||||
\(504\) | −9190.23 | − | 5529.58i | −0.812233 | − | 0.488704i | ||||
\(505\) | −2373.90 | + | 8550.02i | −0.209183 | + | 0.753407i | ||||
\(506\) | −2586.51 | − | 9315.77i | −0.227242 | − | 0.818451i | ||||
\(507\) | 3008.91 | − | 1810.40i | 0.263571 | − | 0.158585i | ||||
\(508\) | 719.496 | − | 13270.3i | 0.0628395 | − | 1.15901i | ||||
\(509\) | −4893.06 | + | 1648.66i | −0.426092 | + | 0.143567i | −0.524174 | − | 0.851611i | \(-0.675626\pi\) |
0.0980818 | + | 0.995178i | \(0.468729\pi\) | |||||||
\(510\) | −15945.4 | − | 30076.2i | −1.38446 | − | 2.61137i | ||||
\(511\) | 4904.30 | + | 5773.78i | 0.424566 | + | 0.499838i | ||||
\(512\) | −14606.9 | − | 21543.6i | −1.26082 | − | 1.85958i | ||||
\(513\) | −185.545 | − | 3422.17i | −0.0159688 | − | 0.294527i | ||||
\(514\) | −12078.9 | − | 30315.9i | −1.03654 | − | 2.60151i | ||||
\(515\) | 29109.9 | + | 13467.7i | 2.49075 | + | 1.15234i | ||||
\(516\) | −24088.1 | + | 5302.18i | −2.05507 | + | 0.452356i | ||||
\(517\) | 2859.39 | − | 5393.38i | 0.243241 | − | 0.458802i | ||||
\(518\) | 2629.32 | − | 16038.1i | 0.223022 | − | 1.36038i | ||||
\(519\) | −2560.49 | + | 1946.44i | −0.216557 | + | 0.164623i | ||||
\(520\) | 29626.6 | − | 13706.7i | 2.49849 | − | 1.15592i | ||||
\(521\) | 1587.74 | + | 1503.98i | 0.133512 | + | 0.126470i | 0.751542 | − | 0.659685i | \(-0.229310\pi\) |
−0.618030 | + | 0.786155i | \(0.712069\pi\) | |||||||
\(522\) | −202.554 | − | 1235.52i | −0.0169838 | − | 0.103597i | ||||
\(523\) | 21277.0 | + | 7169.07i | 1.77893 | + | 0.599391i | 0.999628 | − | 0.0272595i | \(-0.00867803\pi\) |
0.779301 | + | 0.626650i | \(0.215575\pi\) | |||||||
\(524\) | −5740.46 | + | 14407.5i | −0.478575 | + | 1.20113i | ||||
\(525\) | 14034.5 | − | 13294.2i | 1.16670 | − | 1.10515i | ||||
\(526\) | 18020.9 | + | 13699.1i | 1.49382 | + | 1.13557i | ||||
\(527\) | −24590.4 | − | 5412.76i | −2.03259 | − | 0.447407i | ||||
\(528\) | 3265.22 | − | 3844.12i | 0.269130 | − | 0.316844i | ||||
\(529\) | −4834.65 | − | 525.800i | −0.397358 | − | 0.0432152i | ||||
\(530\) | −6447.10 | −0.528385 | ||||||||
\(531\) | 1184.84 | + | 3902.80i | 0.0968322 | + | 0.318959i | ||||
\(532\) | 53437.4 | 4.35490 | ||||||||
\(533\) | 5902.86 | + | 641.974i | 0.479702 | + | 0.0521707i | ||||
\(534\) | −224.363 | + | 264.140i | −0.0181819 | + | 0.0214054i | ||||
\(535\) | 30789.9 | + | 6777.37i | 2.48816 | + | 0.547685i | ||||
\(536\) | 27510.7 | + | 20913.1i | 2.21694 | + | 1.68528i | ||||
\(537\) | −1996.78 | + | 1891.45i | −0.160461 | + | 0.151997i | ||||
\(538\) | −5576.10 | + | 13995.0i | −0.446845 | + | 1.12150i | ||||
\(539\) | −2818.94 | − | 949.813i | −0.225270 | − | 0.0759023i | ||||
\(540\) | 1572.22 | + | 9590.11i | 0.125292 | + | 0.764246i | ||||
\(541\) | −17269.4 | − | 16358.4i | −1.37240 | − | 1.30001i | −0.910757 | − | 0.412942i | \(-0.864501\pi\) |
−0.461644 | − | 0.887065i | \(-0.652740\pi\) | |||||||
\(542\) | −23257.8 | + | 10760.2i | −1.84318 | + | 0.852748i | ||||
\(543\) | −5085.49 | + | 3865.89i | −0.401914 | + | 0.305527i | ||||
\(544\) | −3282.50 | + | 20022.4i | −0.258706 | + | 1.57804i | ||||
\(545\) | 17240.1 | − | 32518.3i | 1.35502 | − | 2.55584i | ||||
\(546\) | 11199.1 | − | 2465.11i | 0.877796 | − | 0.193218i | ||||
\(547\) | −14730.3 | − | 6814.98i | −1.15141 | − | 0.532701i | −0.251109 | − | 0.967959i | \(-0.580795\pi\) |
−0.900306 | + | 0.435258i | \(0.856657\pi\) | |||||||
\(548\) | −15550.5 | − | 39028.9i | −1.21220 | − | 3.04239i | ||||
\(549\) | −171.646 | − | 3165.83i | −0.0133437 | − | 0.246110i | ||||
\(550\) | 11447.7 | + | 16884.0i | 0.887509 | + | 1.30898i | ||||
\(551\) | 2242.40 | + | 2639.96i | 0.173375 | + | 0.204112i | ||||
\(552\) | −9338.21 | − | 17613.7i | −0.720037 | − | 1.35813i | ||||
\(553\) | 4254.78 | − | 1433.60i | 0.327182 | − | 0.110241i | ||||
\(554\) | −771.537 | + | 14230.2i | −0.0591687 | + | 1.09130i | ||||
\(555\) | −7006.45 | + | 4215.64i | −0.535869 | + | 0.322422i | ||||
\(556\) | −4595.83 | − | 16552.7i | −0.350552 | − | 1.26257i | ||||
\(557\) | −5914.98 | + | 21303.8i | −0.449957 | + | 1.62060i | 0.296408 | + | 0.955061i | \(0.404211\pi\) |
−0.746365 | + | 0.665537i | \(0.768203\pi\) | |||||||
\(558\) | 8898.25 | + | 5353.90i | 0.675077 | + | 0.406181i | ||||
\(559\) | 8217.40 | − | 12119.8i | 0.621751 | − | 0.917014i | ||||
\(560\) | −53853.8 | + | 5856.95i | −4.06382 | + | 0.441967i | ||||
\(561\) | 4821.58 | − | 524.378i | 0.362865 | − | 0.0394640i | ||||
\(562\) | −21349.1 | + | 31487.6i | −1.60242 | + | 2.36339i | ||||
\(563\) | 14791.0 | + | 8899.45i | 1.10722 | + | 0.666193i | 0.947111 | − | 0.320906i | \(-0.103987\pi\) |
0.160111 | + | 0.987099i | \(0.448815\pi\) | |||||||
\(564\) | 6064.58 | − | 21842.7i | 0.452775 | − | 1.63075i | ||||
\(565\) | −6380.87 | − | 22981.8i | −0.475124 | − | 1.71124i | ||||
\(566\) | 17889.8 | − | 10763.9i | 1.32856 | − | 0.799368i | ||||
\(567\) | −102.627 | + | 1892.84i | −0.00760129 | + | 0.140197i | ||||
\(568\) | −435.991 | + | 146.902i | −0.0322073 | + | 0.0108519i | ||||
\(569\) | 8349.04 | + | 15748.0i | 0.615132 | + | 1.16026i | 0.973930 | + | 0.226847i | \(0.0728417\pi\) |
−0.358798 | + | 0.933415i | \(0.616813\pi\) | |||||||
\(570\) | −25146.0 | − | 29604.2i | −1.84781 | − | 2.17541i | ||||
\(571\) | 4787.18 | + | 7060.57i | 0.350854 | + | 0.517470i | 0.961636 | − | 0.274328i | \(-0.0884554\pi\) |
−0.610783 | + | 0.791798i | \(0.709145\pi\) | |||||||
\(572\) | 453.450 | + | 8363.39i | 0.0331463 | + | 0.611348i | ||||
\(573\) | −2556.97 | − | 6417.51i | −0.186421 | − | 0.467880i | ||||
\(574\) | −20067.1 | − | 9284.01i | −1.45920 | − | 0.675099i | ||||
\(575\) | 35092.1 | − | 7724.35i | 2.54511 | − | 0.560222i | ||||
\(576\) | 18.1165 | − | 34.1713i | 0.00131051 | − | 0.00247188i | ||||
\(577\) | 2105.78 | − | 12844.7i | 0.151932 | − | 0.926745i | −0.795305 | − | 0.606210i | \(-0.792689\pi\) |
0.947237 | − | 0.320535i | \(-0.103863\pi\) | |||||||
\(578\) | −30285.6 | + | 23022.5i | −2.17944 | + | 1.65677i | ||||
\(579\) | 4311.74 | − | 1994.82i | 0.309482 | − | 0.143181i | ||||
\(580\) | −7130.62 | − | 6754.48i | −0.510488 | − | 0.483560i | ||||
\(581\) | 3831.34 | + | 23370.2i | 0.273582 | + | 1.66877i | ||||
\(582\) | 2330.00 | + | 785.068i | 0.165948 | + | 0.0559143i | ||||
\(583\) | 339.985 | − | 853.299i | 0.0241522 | − | 0.0606175i | ||||
\(584\) | −11967.1 | + | 11335.8i | −0.847947 | + | 0.803218i | ||||
\(585\) | −4593.01 | − | 3491.52i | −0.324611 | − | 0.246763i | ||||
\(586\) | −14298.7 | − | 3147.38i | −1.00798 | − | 0.221872i | ||||
\(587\) | −4782.32 | + | 5630.18i | −0.336265 | + | 0.395882i | −0.904142 | − | 0.427231i | \(-0.859489\pi\) |
0.567877 | + | 0.823113i | \(0.307765\pi\) | |||||||
\(588\) | −10981.6 | − | 1194.32i | −0.770195 | − | 0.0837637i | ||||
\(589\) | −28730.0 | −2.00985 | ||||||||
\(590\) | 37458.8 | + | 27086.7i | 2.61382 | + | 1.89007i | ||||
\(591\) | −5450.67 | −0.379375 | ||||||||
\(592\) | 15667.0 | + | 1703.89i | 1.08768 | + | 0.118293i | ||||
\(593\) | 11042.1 | − | 12999.8i | 0.764664 | − | 0.900232i | −0.232718 | − | 0.972544i | \(-0.574762\pi\) |
0.997382 | + | 0.0723120i | \(0.0230377\pi\) | |||||||
\(594\) | −1953.55 | − | 430.009i | −0.134941 | − | 0.0297028i | ||||
\(595\) | −41469.3 | − | 31524.2i | −2.85727 | − | 2.17204i | ||||
\(596\) | 17519.7 | − | 16595.6i | 1.20409 | − | 1.14057i | ||||
\(597\) | −2088.08 | + | 5240.68i | −0.143148 | + | 0.359274i | ||||
\(598\) | 20198.9 | + | 6805.79i | 1.38126 | + | 0.465401i | ||||
\(599\) | 2245.15 | + | 13694.8i | 0.153146 | + | 0.934147i | 0.945865 | + | 0.324560i | \(0.105216\pi\) |
−0.792719 | + | 0.609587i | \(0.791335\pi\) | |||||||
\(600\) | 30537.8 | + | 28926.9i | 2.07783 | + | 1.96823i | ||||
\(601\) | 10198.0 | − | 4718.11i | 0.692157 | − | 0.320226i | −0.0420848 | − | 0.999114i | \(-0.513400\pi\) |
0.734242 | + | 0.678888i | \(0.237538\pi\) | |||||||
\(602\) | −43408.6 | + | 32998.4i | −2.93888 | + | 2.23408i | ||||
\(603\) | 988.103 | − | 6027.16i | 0.0667308 | − | 0.407040i | ||||
\(604\) | 11704.1 | − | 22076.2i | 0.788464 | − | 1.48720i | ||||
\(605\) | 21881.9 | − | 4816.56i | 1.47045 | − | 0.323671i | ||||
\(606\) | −6155.65 | − | 2847.91i | −0.412634 | − | 0.190905i | ||||
\(607\) | −1679.45 | − | 4215.10i | −0.112301 | − | 0.281854i | 0.862075 | − | 0.506782i | \(-0.169165\pi\) |
−0.974376 | + | 0.224927i | \(0.927786\pi\) | |||||||
\(608\) | 1253.37 | + | 23117.1i | 0.0836035 | + | 1.54198i | ||||
\(609\) | −1075.15 | − | 1585.73i | −0.0715393 | − | 0.105513i | ||||
\(610\) | −23262.5 | − | 27386.7i | −1.54405 | − | 1.81779i | ||||
\(611\) | 6303.86 | + | 11890.3i | 0.417393 | + | 0.787286i | ||||
\(612\) | 17067.7 | − | 5750.78i | 1.12732 | − | 0.379839i | ||||
\(613\) | −408.023 | + | 7525.55i | −0.0268840 | + | 0.495847i | 0.953824 | + | 0.300367i | \(0.0971092\pi\) |
−0.980708 | + | 0.195480i | \(0.937374\pi\) | |||||||
\(614\) | −44972.6 | + | 27059.1i | −2.95594 | + | 1.77853i | ||||
\(615\) | 2976.10 | + | 10718.9i | 0.195135 | + | 0.702812i | ||||
\(616\) | 4633.26 | − | 16687.5i | 0.303051 | − | 1.09149i | ||||
\(617\) | −4217.55 | − | 2537.61i | −0.275190 | − | 0.165576i | 0.371269 | − | 0.928526i | \(-0.378923\pi\) |
−0.646458 | + | 0.762949i | \(0.723751\pi\) | |||||||
\(618\) | −13758.3 | + | 20291.9i | −0.895532 | + | 1.32081i | ||||
\(619\) | 3603.42 | − | 391.896i | 0.233980 | − | 0.0254469i | 0.00962239 | − | 0.999954i | \(-0.496937\pi\) |
0.224358 | + | 0.974507i | \(0.427972\pi\) | |||||||
\(620\) | 80989.0 | − | 8808.09i | 5.24613 | − | 0.570550i | ||||
\(621\) | −1977.34 | + | 2916.35i | −0.127774 | + | 0.188453i | ||||
\(622\) | 8511.64 | + | 5121.29i | 0.548691 | + | 0.330136i | ||||
\(623\) | −141.876 | + | 510.992i | −0.00912383 | + | 0.0328611i | ||||
\(624\) | 2974.76 | + | 10714.1i | 0.190843 | + | 0.687353i | ||||
\(625\) | −22081.9 | + | 13286.3i | −1.41324 | + | 0.850321i | ||||
\(626\) | 1389.84 | − | 25634.0i | 0.0887365 | − | 1.63665i | ||||
\(627\) | 5244.30 | − | 1767.01i | 0.334031 | − | 0.112548i | ||||
\(628\) | 18481.9 | + | 34860.6i | 1.17438 | + | 2.21511i | ||||
\(629\) | 9810.61 | + | 11549.9i | 0.621899 | + | 0.732156i | ||||
\(630\) | 12056.7 | + | 17782.2i | 0.762458 | + | 1.12454i | ||||
\(631\) | −658.391 | − | 12143.3i | −0.0415375 | − | 0.766114i | −0.942906 | − | 0.333060i | \(-0.891919\pi\) |
0.901368 | − | 0.433054i | \(-0.142564\pi\) | |||||||
\(632\) | 3616.04 | + | 9075.57i | 0.227592 | + | 0.571213i | ||||
\(633\) | −7142.14 | − | 3304.31i | −0.448459 | − | 0.207479i | ||||
\(634\) | −9986.97 | + | 2198.30i | −0.625604 | + | 0.137706i | ||||
\(635\) | −6924.00 | + | 13060.0i | −0.432709 | + | 0.816176i | ||||
\(636\) | 551.835 | − | 3366.04i | 0.0344051 | − | 0.209862i | ||||
\(637\) | 5220.77 | − | 3968.73i | 0.324732 | − | 0.246855i | ||||
\(638\) | 1834.81 | − | 848.875i | 0.113857 | − | 0.0526760i | ||||
\(639\) | 59.0332 | + | 55.9192i | 0.00365464 | + | 0.00346186i | ||||
\(640\) | 4652.23 | + | 28377.3i | 0.287337 | + | 1.75268i | ||||
\(641\) | −26686.2 | − | 8991.62i | −1.64437 | − | 0.554053i | −0.663408 | − | 0.748257i | \(-0.730891\pi\) |
−0.980961 | + | 0.194205i | \(0.937787\pi\) | |||||||
\(642\) | −8919.59 | + | 22386.5i | −0.548331 | + | 1.37621i | ||||
\(643\) | 6425.53 | − | 6086.59i | 0.394087 | − | 0.373299i | −0.464842 | − | 0.885394i | \(-0.653889\pi\) |
0.858929 | + | 0.512094i | \(0.171130\pi\) | |||||||
\(644\) | −43736.4 | − | 33247.6i | −2.67618 | − | 2.03438i | ||||
\(645\) | 26792.6 | + | 5897.50i | 1.63559 | + | 0.360021i | ||||
\(646\) | −46602.8 | + | 54865.1i | −2.83833 | + | 3.34154i | ||||
\(647\) | 6649.38 | + | 723.163i | 0.404040 | + | 0.0439420i | 0.307883 | − | 0.951424i | \(-0.400379\pi\) |
0.0961570 | + | 0.995366i | \(0.469345\pi\) | |||||||
\(648\) | −4124.71 | −0.250052 | ||||||||
\(649\) | −5560.41 | + | 3529.42i | −0.336310 | + | 0.213469i | ||||
\(650\) | −44972.0 | −2.71377 | ||||||||
\(651\) | 15797.8 | + | 1718.11i | 0.951095 | + | 0.103438i | ||||
\(652\) | 34446.0 | − | 40553.0i | 2.06904 | − | 2.43586i | ||||
\(653\) | 22224.5 | + | 4891.99i | 1.33187 | + | 0.293167i | 0.823180 | − | 0.567781i | \(-0.192198\pi\) |
0.508693 | + | 0.860948i | \(0.330129\pi\) | |||||||
\(654\) | 22396.4 | + | 17025.3i | 1.33910 | + | 1.01795i | ||||
\(655\) | 12523.6 | − | 11863.0i | 0.747081 | − | 0.707673i | ||||
\(656\) | 7935.80 | − | 19917.3i | 0.472318 | − | 1.18543i | ||||
\(657\) | 2760.82 | + | 930.228i | 0.163942 | + | 0.0552385i | ||||
\(658\) | −8107.70 | − | 49454.8i | −0.480351 | − | 2.93001i | ||||
\(659\) | −21640.2 | − | 20498.7i | −1.27918 | − | 1.21171i | −0.964971 | − | 0.262355i | \(-0.915501\pi\) |
−0.314213 | − | 0.949353i | \(-0.601741\pi\) | |||||||
\(660\) | −14241.8 | + | 6588.96i | −0.839941 | + | 0.388598i | ||||
\(661\) | 7044.60 | − | 5355.17i | 0.414529 | − | 0.315116i | −0.377040 | − | 0.926197i | \(-0.623058\pi\) |
0.791568 | + | 0.611081i | \(0.209265\pi\) | |||||||
\(662\) | 1206.01 | − | 7356.36i | 0.0708052 | − | 0.431893i | ||||
\(663\) | −5008.42 | + | 9446.89i | −0.293380 | + | 0.553374i | ||||
\(664\) | −50325.5 | + | 11077.5i | −2.94128 | + | 0.647424i | ||||
\(665\) | −53943.8 | − | 24957.1i | −3.14564 | − | 1.45533i | ||||
\(666\) | −2313.41 | − | 5806.22i | −0.134599 | − | 0.337817i | ||||
\(667\) | −192.794 | − | 3555.87i | −0.0111919 | − | 0.206423i | ||||
\(668\) | 7061.80 | + | 10415.4i | 0.409026 | + | 0.603268i | ||||
\(669\) | −6234.28 | − | 7339.56i | −0.360286 | − | 0.424161i | ||||
\(670\) | −32423.8 | − | 61157.7i | −1.86961 | − | 3.52646i | ||||
\(671\) | 4851.47 | − | 1634.65i | 0.279119 | − | 0.0940463i | ||||
\(672\) | 693.255 | − | 12786.3i | 0.0397959 | − | 0.733993i | ||||
\(673\) | 4987.93 | − | 3001.14i | 0.285692 | − | 0.171895i | −0.365493 | − | 0.930814i | \(-0.619100\pi\) |
0.651185 | + | 0.758919i | \(0.274272\pi\) | |||||||
\(674\) | −2305.67 | − | 8304.26i | −0.131767 | − | 0.474582i | ||||
\(675\) | 1988.87 | − | 7163.28i | 0.113410 | − | 0.408466i | ||||
\(676\) | 18042.2 | + | 10855.7i | 1.02653 | + | 0.617641i | ||||
\(677\) | −11454.3 | + | 16893.9i | −0.650259 | + | 0.959060i | 0.349496 | + | 0.936938i | \(0.386353\pi\) |
−0.999755 | + | 0.0221223i | \(0.992958\pi\) | |||||||
\(678\) | 18124.0 | − | 1971.11i | 1.02662 | − | 0.111652i | ||||
\(679\) | 3740.29 | − | 406.781i | 0.211398 | − | 0.0229909i | ||||
\(680\) | 63608.0 | − | 93814.8i | 3.58714 | − | 5.29064i | ||||
\(681\) | −11578.2 | − | 6966.39i | −0.651511 | − | 0.392001i | ||||
\(682\) | −4486.06 | + | 16157.3i | −0.251877 | + | 0.907179i | ||||
\(683\) | −3566.59 | − | 12845.7i | −0.199812 | − | 0.719658i | −0.993747 | − | 0.111655i | \(-0.964385\pi\) |
0.793935 | − | 0.608003i | \(-0.208029\pi\) | |||||||
\(684\) | 17608.8 | − | 10594.9i | 0.984340 | − | 0.592258i | ||||
\(685\) | −2529.90 | + | 46661.3i | −0.141113 | + | 2.60268i | ||||
\(686\) | 15637.4 | − | 5268.86i | 0.870320 | − | 0.293245i | ||||
\(687\) | 5252.29 | + | 9906.87i | 0.291685 | + | 0.550176i | ||||
\(688\) | −34229.6 | − | 40298.2i | −1.89679 | − | 2.23307i | ||||
\(689\) | 1136.42 | + | 1676.09i | 0.0628360 | + | 0.0926762i | ||||
\(690\) | 2161.97 | + | 39875.2i | 0.119282 | + | 2.20003i | ||||
\(691\) | −11661.5 | − | 29268.1i | −0.642001 | − | 1.61130i | −0.783520 | − | 0.621366i | \(-0.786578\pi\) |
0.141519 | − | 0.989936i | \(-0.454801\pi\) | |||||||
\(692\) | −17503.5 | − | 8097.97i | −0.961536 | − | 0.444854i | ||||
\(693\) | −2989.35 | + | 658.006i | −0.163862 | + | 0.0360687i | ||||
\(694\) | −9733.67 | + | 18359.6i | −0.532399 | + | 1.00421i | ||||
\(695\) | −3091.27 | + | 18855.9i | −0.168718 | + | 1.02913i | ||||
\(696\) | 3318.70 | − | 2522.81i | 0.180740 | − | 0.137395i | ||||
\(697\) | 18711.3 | − | 8656.75i | 1.01684 | − | 0.470442i | ||||
\(698\) | 46737.1 | + | 44271.8i | 2.53442 | + | 2.40073i | ||||
\(699\) | −874.048 | − | 5331.46i | −0.0472955 | − | 0.288490i | ||||
\(700\) | 109848. | + | 37012.2i | 5.93125 | + | 1.99847i | ||||
\(701\) | 12587.2 | − | 31591.6i | 0.678193 | − | 1.70214i | −0.0333009 | − | 0.999445i | \(-0.510602\pi\) |
0.711494 | − | 0.702692i | \(-0.248019\pi\) | |||||||
\(702\) | 3201.59 | − | 3032.71i | 0.172132 | − | 0.163052i | ||||
\(703\) | 13765.5 | + | 10464.3i | 0.738514 | + | 0.561404i | ||||
\(704\) | 60.9921 | + | 13.4254i | 0.00326523 | + | 0.000718732i | ||||
\(705\) | −16323.3 | + | 19217.3i | −0.872015 | + | 1.02662i | ||||
\(706\) | 40866.5 | + | 4444.50i | 2.17851 | + | 0.236928i | ||||
\(707\) | −10378.7 | −0.552096 | ||||||||
\(708\) | −17348.3 | + | 17238.9i | −0.920889 | + | 0.915080i | ||||
\(709\) | −11968.8 | −0.633989 | −0.316995 | − | 0.948427i | \(-0.602674\pi\) | ||||
−0.316995 | + | 0.948427i | \(0.602674\pi\) | |||||||
\(710\) | 916.169 | + | 99.6394i | 0.0484271 | + | 0.00526676i | ||||
\(711\) | 1117.81 | − | 1315.98i | 0.0589607 | − | 0.0694139i | ||||
\(712\) | −1126.95 | − | 248.062i | −0.0593180 | − | 0.0130569i | ||||
\(713\) | 23514.4 | + | 17875.2i | 1.23509 | + | 0.938893i | ||||
\(714\) | 28906.5 | − | 27381.7i | 1.51512 | − | 1.43520i | ||||
\(715\) | 3448.23 | − | 8654.41i | 0.180359 | − | 0.452667i | ||||
\(716\) | −15628.9 | − | 5265.99i | −0.815753 | − | 0.274859i | ||||
\(717\) | −2607.61 | − | 15905.7i | −0.135820 | − | 0.828465i | ||||
\(718\) | 9133.63 | + | 8651.83i | 0.474741 | + | 0.449698i | ||||
\(719\) | 5358.34 | − | 2479.03i | 0.277931 | − | 0.128584i | −0.275972 | − | 0.961166i | \(-0.589000\pi\) |
0.553903 | + | 0.832581i | \(0.313138\pi\) | |||||||
\(720\) | −16584.7 | + | 12607.4i | −0.858440 | + | 0.652569i | ||||
\(721\) | −6069.31 | + | 37021.1i | −0.313499 | + | 1.91226i | ||||
\(722\) | −22095.5 | + | 41676.5i | −1.13893 | + | 2.14825i | ||||
\(723\) | 10100.8 | − | 2223.36i | 0.519575 | − | 0.114367i | ||||
\(724\) | −34764.3 | − | 16083.7i | −1.78454 | − | 0.825614i | ||||
\(725\) | 2781.07 | + | 6979.96i | 0.142464 | + | 0.357558i | ||||
\(726\) | 927.185 | + | 17100.9i | 0.0473982 | + | 0.874208i | ||||
\(727\) | −14215.6 | − | 20966.4i | −0.725210 | − | 1.06960i | −0.994313 | − | 0.106493i | \(-0.966038\pi\) |
0.269104 | − | 0.963111i | \(-0.413273\pi\) | |||||||
\(728\) | 24718.0 | + | 29100.3i | 1.25839 | + | 1.48150i | ||||
\(729\) | 341.470 | + | 644.080i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | 31290.0 | − | 10542.8i | 1.58643 | − | 0.534530i | ||||
\(731\) | 2752.59 | − | 50768.5i | 0.139272 | − | 2.56873i | ||||
\(732\) | 16289.8 | − | 9801.24i | 0.822524 | − | 0.494897i | ||||
\(733\) | 2983.72 | + | 10746.4i | 0.150349 | + | 0.541510i | 0.999902 | + | 0.0140057i | \(0.00445828\pi\) |
−0.849552 | + | 0.527504i | \(0.823128\pi\) | |||||||
\(734\) | 9303.27 | − | 33507.4i | 0.467834 | − | 1.68499i | ||||
\(735\) | 10527.9 | + | 6334.42i | 0.528336 | + | 0.317889i | ||||
\(736\) | 13357.1 | − | 19700.2i | 0.668952 | − | 0.986631i | ||||
\(737\) | 9804.32 | − | 1066.28i | 0.490023 | − | 0.0532932i | ||||
\(738\) | −8453.24 | + | 919.345i | −0.421637 | + | 0.0458558i | ||||
\(739\) | −13033.0 | + | 19222.2i | −0.648748 | + | 0.956832i | 0.351042 | + | 0.936360i | \(0.385827\pi\) |
−0.999790 | + | 0.0204725i | \(0.993483\pi\) | |||||||
\(740\) | −42012.6 | − | 25278.2i | −2.08705 | − | 1.25573i | ||||
\(741\) | −3263.93 | + | 11755.6i | −0.161813 | + | 0.582799i | ||||
\(742\) | −2017.37 | − | 7265.90i | −0.0998112 | − | 0.359487i | ||||
\(743\) | −11936.2 | + | 7181.80i | −0.589365 | + | 0.354609i | −0.778789 | − | 0.627286i | \(-0.784166\pi\) |
0.189424 | + | 0.981895i | \(0.439338\pi\) | |||||||
\(744\) | −1871.97 | + | 34526.5i | −0.0922444 | + | 1.70135i | ||||
\(745\) | −25436.4 | + | 8570.52i | −1.25090 | + | 0.421476i | ||||
\(746\) | −15848.4 | − | 29893.2i | −0.777815 | − | 1.46711i | ||||
\(747\) | 5896.03 | + | 6941.35i | 0.288788 | + | 0.339987i | ||||
\(748\) | 16320.5 | + | 24070.9i | 0.797774 | + | 1.17663i | ||||
\(749\) | 1996.38 | + | 36821.1i | 0.0973914 | + | 1.79628i | ||||
\(750\) | −17028.5 | − | 42738.4i | −0.829059 | − | 2.08078i | ||||
\(751\) | −24016.1 | − | 11111.0i | −1.16692 | − | 0.539876i | −0.261840 | − | 0.965111i | \(-0.584329\pi\) |
−0.905083 | + | 0.425235i | \(0.860191\pi\) | |||||||
\(752\) | 47459.1 | − | 10446.5i | 2.30140 | − | 0.506577i | ||||
\(753\) | 1516.49 | − | 2860.40i | 0.0733917 | − | 0.138431i | ||||
\(754\) | −721.063 | + | 4398.29i | −0.0348270 | + | 0.212435i | ||||
\(755\) | −22125.3 | + | 16819.2i | −1.06652 | + | 0.810748i | ||||
\(756\) | −10316.1 | + | 4772.75i | −0.496288 | + | 0.229607i | ||||
\(757\) | 20608.1 | + | 19521.0i | 0.989451 | + | 0.937258i | 0.998032 | − | 0.0627050i | \(-0.0199727\pi\) |
−0.00858065 | + | 0.999963i | \(0.502731\pi\) | |||||||
\(758\) | 8058.80 | + | 49156.5i | 0.386159 | + | 2.35547i | ||||
\(759\) | −5391.65 | − | 1816.66i | −0.257845 | − | 0.0868781i | ||||
\(760\) | 47870.0 | − | 120145.i | 2.28477 | − | 5.73435i | ||||
\(761\) | −25769.1 | + | 24409.7i | −1.22750 | + | 1.16275i | −0.246417 | + | 0.969164i | \(0.579253\pi\) |
−0.981083 | + | 0.193586i | \(0.937988\pi\) | |||||||
\(762\) | −8994.86 | − | 6837.72i | −0.427624 | − | 0.325071i | ||||
\(763\) | 42042.9 | + | 9254.34i | 1.99483 | + | 0.439095i | ||||
\(764\) | 26816.8 | − | 31571.2i | 1.26989 | − | 1.49503i | ||||
\(765\) | −19915.2 | − | 2165.91i | −0.941224 | − | 0.102364i | ||||
\(766\) | −9693.88 | −0.457251 | ||||||||
\(767\) | 439.102 | − | 14512.9i | 0.0206715 | − | 0.683221i | ||||
\(768\) | −22083.2 | −1.03758 | ||||||||
\(769\) | 9067.32 | + | 986.131i | 0.425196 | + | 0.0462429i | 0.318216 | − | 0.948018i | \(-0.396916\pi\) |
0.106980 | + | 0.994261i | \(0.465882\pi\) | |||||||
\(770\) | −22458.6 | + | 26440.3i | −1.05110 | + | 1.23746i | ||||
\(771\) | −18755.1 | − | 4128.30i | −0.876067 | − | 0.192837i | ||||
\(772\) | 22678.6 | + | 17239.8i | 1.05728 | + | 0.803723i | ||||
\(773\) | −16827.5 | + | 15939.8i | −0.782979 | + | 0.741677i | −0.970635 | − | 0.240558i | \(-0.922670\pi\) |
0.187656 | + | 0.982235i | \(0.439911\pi\) | |||||||
\(774\) | −7761.60 | + | 19480.2i | −0.360446 | + | 0.904651i | ||||
\(775\) | −59058.7 | − | 19899.2i | −2.73736 | − | 0.922323i | ||||
\(776\) | 1324.43 | + | 8078.69i | 0.0612685 | + | 0.373722i | ||||
\(777\) | −6943.44 | − | 6577.18i | −0.320585 | − | 0.303674i | ||||
\(778\) | −40484.2 | + | 18730.0i | −1.86559 | + | 0.863114i | ||||
\(779\) | 18727.5 | − | 14236.3i | 0.861338 | − | 0.654772i | ||||
\(780\) | 5596.87 | − | 34139.4i | 0.256923 | − | 1.56716i | ||||
\(781\) | −61.5015 | + | 116.004i | −0.00281780 | + | 0.00531493i | ||||
\(782\) | 72278.4 | − | 15909.7i | 3.30520 | − | 0.727531i | ||||
\(783\) | −668.684 | − | 309.366i | −0.0305195 | − | 0.0141198i | ||||
\(784\) | −8764.87 | − | 21998.2i | −0.399275 | − | 1.00210i | ||||
\(785\) | −2375.99 | − | 43822.5i | −0.108029 | − | 1.99248i | ||||
\(786\) | 7399.50 | + | 10913.4i | 0.335790 | + | 0.495254i | ||||
\(787\) | 7103.13 | + | 8362.45i | 0.321727 | + | 0.378767i | 0.899122 | − | 0.437699i | \(-0.144206\pi\) |
−0.577394 | + | 0.816465i | \(0.695931\pi\) | |||||||
\(788\) | −15309.3 | − | 28876.5i | −0.692098 | − | 1.30543i | ||||
\(789\) | 12623.8 | − | 4253.45i | 0.569605 | − | 0.191922i | ||||
\(790\) | 1059.45 | − | 19540.4i | 0.0477133 | − | 0.880020i | ||||
\(791\) | 23903.9 | − | 14382.5i | 1.07450 | − | 0.646503i | ||||
\(792\) | −1781.81 | − | 6417.51i | −0.0799419 | − | 0.287925i | ||||
\(793\) | −3019.45 | + | 10875.1i | −0.135213 | + | 0.486993i | ||||
\(794\) | −15148.5 | − | 9114.53i | −0.677077 | − | 0.407384i | ||||
\(795\) | −2129.12 | + | 3140.21i | −0.0949837 | + | 0.140090i | ||||
\(796\) | −33628.8 | + | 3657.35i | −1.49741 | + | 0.162854i | ||||
\(797\) | −16517.4 | + | 1796.37i | −0.734096 | + | 0.0798378i | −0.467528 | − | 0.883978i | \(-0.654855\pi\) |
−0.266568 | + | 0.963816i | \(0.585890\pi\) | |||||||
\(798\) | 25495.6 | − | 37603.2i | 1.13099 | − | 1.66809i | ||||
\(799\) | 40040.1 | + | 24091.3i | 1.77286 | + | 1.06670i | ||||
\(800\) | −13435.0 | + | 48388.6i | −0.593750 | + | 2.13849i | ||||
\(801\) | 54.5613 | + | 196.512i | 0.00240678 | + | 0.00866843i | ||||
\(802\) | 26553.8 | − | 15976.9i | 1.16913 | − | 0.703445i | ||||
\(803\) | −254.681 | + | 4697.32i | −0.0111924 | + | 0.206432i | ||||
\(804\) | 34705.9 | − | 11693.8i | 1.52237 | − | 0.512945i | ||||
\(805\) | 28623.1 | + | 53989.0i | 1.25321 | + | 2.36380i | ||||
\(806\) | −23932.7 | − | 28175.8i | −1.04590 | − | 1.23133i | ||||
\(807\) | 4975.10 | + | 7337.73i | 0.217016 | + | 0.320075i | ||||
\(808\) | −1222.63 | − | 22550.0i | −0.0532325 | − | 0.981816i | ||||
\(809\) | 85.0497 | + | 213.459i | 0.00369616 | + | 0.00927665i | 0.930813 | − | 0.365495i | \(-0.119100\pi\) |
−0.927117 | + | 0.374772i | \(0.877721\pi\) | |||||||
\(810\) | 7498.55 | + | 3469.20i | 0.325274 | + | 0.150488i | ||||
\(811\) | −11570.4 | + | 2546.83i | −0.500976 | + | 0.110273i | −0.458267 | − | 0.888815i | \(-0.651530\pi\) |
−0.0427085 | + | 0.999088i | \(0.513599\pi\) | |||||||
\(812\) | 5381.08 | − | 10149.8i | 0.232560 | − | 0.438655i | ||||
\(813\) | −2439.74 | + | 14881.7i | −0.105246 | + | 0.641975i | ||||
\(814\) | 8034.36 | − | 6107.56i | 0.345951 | − | 0.262985i | ||||
\(815\) | −53712.0 | + | 24849.8i | −2.30853 | + | 1.06804i | ||||
\(816\) | 28029.9 | + | 26551.3i | 1.20250 | + | 1.13907i | ||||
\(817\) | −9385.49 | − | 57249.0i | −0.401906 | − | 2.45152i | ||||
\(818\) | −4320.70 | − | 1455.81i | −0.184682 | − | 0.0622265i | ||||
\(819\) | 2497.75 | − | 6268.88i | 0.106567 | − | 0.267463i | ||||
\(820\) | −48427.7 | + | 45873.1i | −2.06240 | + | 1.95361i | ||||
\(821\) | −8829.29 | − | 6711.85i | −0.375328 | − | 0.285317i | 0.400455 | − | 0.916316i | \(-0.368852\pi\) |
−0.775783 | + | 0.630999i | \(0.782645\pi\) | |||||||
\(822\) | −34883.4 | − | 7678.41i | −1.48017 | − | 0.325809i | ||||
\(823\) | 24893.2 | − | 29306.6i | 1.05434 | − | 1.24127i | 0.0847854 | − | 0.996399i | \(-0.472980\pi\) |
0.969556 | − | 0.244868i | \(-0.0787446\pi\) | |||||||
\(824\) | −81151.5 | − | 8825.76i | −3.43088 | − | 0.373131i | ||||
\(825\) | 12004.3 | 0.506589 | ||||||||
\(826\) | −18805.6 | + | 50692.0i | −0.792166 | + | 2.13535i | ||||
\(827\) | −7646.05 | −0.321498 | −0.160749 | − | 0.986995i | \(-0.551391\pi\) | ||||
−0.160749 | + | 0.986995i | \(0.551391\pi\) | |||||||
\(828\) | −21004.0 | − | 2284.32i | −0.881568 | − | 0.0958763i | ||||
\(829\) | 24252.1 | − | 28551.7i | 1.01605 | − | 1.19619i | 0.0356157 | − | 0.999366i | \(-0.488661\pi\) |
0.980438 | − | 0.196826i | \(-0.0630634\pi\) | |||||||
\(830\) | 100807. | + | 22189.2i | 4.21572 | + | 0.927951i | ||||
\(831\) | 6676.34 | + | 5075.22i | 0.278700 | + | 0.211862i | ||||
\(832\) | −99.9574 | + | 94.6847i | −0.00416514 | + | 0.00394543i | ||||
\(833\) | 8428.29 | − | 21153.4i | 0.350568 | − | 0.879858i | ||||
\(834\) | −13840.6 | − | 4663.45i | −0.574654 | − | 0.193623i | ||||
\(835\) | −2264.39 | − | 13812.2i | −0.0938473 | − | 0.572443i | ||||
\(836\) | 24090.9 | + | 22820.2i | 0.996654 | + | 0.944081i | ||||
\(837\) | 5546.35 | − | 2566.01i | 0.229044 | − | 0.105967i | ||||
\(838\) | 19732.7 | − | 15000.4i | 0.813430 | − | 0.618353i | ||||
\(839\) | −1132.77 | + | 6909.58i | −0.0466120 | + | 0.284321i | −0.999839 | − | 0.0179340i | \(-0.994291\pi\) |
0.953227 | + | 0.302255i | \(0.0977394\pi\) | |||||||
\(840\) | −33507.1 | + | 63201.2i | −1.37632 | + | 2.59601i | ||||
\(841\) | −23091.6 | + | 5082.84i | −0.946802 | + | 0.208407i | ||||
\(842\) | −41760.7 | − | 19320.6i | −1.70923 | − | 0.790773i | ||||
\(843\) | 8286.37 | + | 20797.2i | 0.338550 | + | 0.849696i | ||||
\(844\) | −2554.68 | − | 47118.3i | −0.104189 | − | 1.92166i | ||||
\(845\) | −13143.3 | − | 19384.8i | −0.535079 | − | 0.789182i | ||||
\(846\) | −12476.9 | − | 14688.9i | −0.507050 | − | 0.596946i | ||||
\(847\) | 12275.4 | + | 23153.8i | 0.497977 | + | 0.939284i | ||||
\(848\) | 6929.32 | − | 2334.76i | 0.280606 | − | 0.0945471i | ||||
\(849\) | 665.173 | − | 12268.4i | 0.0268889 | − | 0.495936i | ||||
\(850\) | −133800. | + | 80504.7i | −5.39917 | + | 3.24857i | ||||
\(851\) | −4755.89 | − | 17129.2i | −0.191574 | − | 0.689988i | ||||
\(852\) | −130.441 | + | 469.806i | −0.00524511 | + | 0.0188912i | ||||
\(853\) | −20259.0 | − | 12189.5i | −0.813196 | − | 0.489284i | 0.0472149 | − | 0.998885i | \(-0.484965\pi\) |
−0.860411 | + | 0.509601i | \(0.829793\pi\) | |||||||
\(854\) | 23585.8 | − | 34786.5i | 0.945070 | − | 1.39387i | ||||
\(855\) | −22723.8 | + | 2471.36i | −0.908932 | + | 0.0988523i | ||||
\(856\) | −79766.7 | + | 8675.15i | −3.18501 | + | 0.346391i | ||||
\(857\) | 12422.4 | − | 18321.7i | 0.495148 | − | 0.730288i | −0.495217 | − | 0.868769i | \(-0.664912\pi\) |
0.990365 | + | 0.138481i | \(0.0442220\pi\) | |||||||
\(858\) | 6101.54 | + | 3671.18i | 0.242778 | + | 0.146075i | ||||
\(859\) | −6101.93 | + | 21977.2i | −0.242369 | + | 0.872935i | 0.737841 | + | 0.674975i | \(0.235845\pi\) |
−0.980210 | + | 0.197960i | \(0.936568\pi\) | |||||||
\(860\) | 44008.9 | + | 158506.i | 1.74499 | + | 6.28488i | ||||
\(861\) | −11149.0 | + | 6708.15i | −0.441299 | + | 0.265521i | ||||
\(862\) | −1978.93 | + | 36499.2i | −0.0781932 | + | 1.44219i | ||||
\(863\) | 3728.50 | − | 1256.28i | 0.147068 | − | 0.0495529i | −0.244805 | − | 0.969572i | \(-0.578724\pi\) |
0.391873 | + | 0.920019i | \(0.371827\pi\) | |||||||
\(864\) | −2306.66 | − | 4350.82i | −0.0908265 | − | 0.171317i | ||||
\(865\) | 13887.3 | + | 16349.4i | 0.545876 | + | 0.642655i | ||||
\(866\) | 12779.9 | + | 18848.9i | 0.501475 | + | 0.739621i | ||||
\(867\) | 1212.02 | + | 22354.4i | 0.0474768 | + | 0.875658i | ||||
\(868\) | 35269.1 | + | 88518.8i | 1.37916 | + | 3.46143i | ||||
\(869\) | 2530.38 | + | 1170.68i | 0.0987769 | + | 0.0456991i | ||||
\(870\) | −8155.13 | + | 1795.08i | −0.317799 | + | 0.0699528i | ||||
\(871\) | −10184.3 | + | 19209.5i | −0.396189 | + | 0.747291i | ||||
\(872\) | −15154.4 | + | 92437.6i | −0.588523 | + | 3.58983i | ||||
\(873\) | 1151.86 | − | 875.618i | 0.0446557 | − | 0.0339464i | ||||
\(874\) | 76640.9 | − | 35457.9i | 2.96615 | − | 1.37229i | ||||
\(875\) | −51109.3 | − | 48413.3i | −1.97464 | − | 1.87048i | ||||
\(876\) | 2826.18 | + | 17239.0i | 0.109004 | + | 0.664898i | ||||
\(877\) | 43141.1 | + | 14535.9i | 1.66109 | + | 0.559685i | 0.984301 | − | 0.176495i | \(-0.0564761\pi\) |
0.676785 | + | 0.736181i | \(0.263373\pi\) | |||||||
\(878\) | 27383.3 | − | 68726.8i | 1.05255 | − | 2.64171i | ||||
\(879\) | −6255.08 | + | 5925.13i | −0.240021 | + | 0.227360i | ||||
\(880\) | −26779.8 | − | 20357.5i | −1.02585 | − | 0.779831i | ||||
\(881\) | 26984.0 | + | 5939.64i | 1.03191 | + | 0.227141i | 0.698478 | − | 0.715632i | \(-0.253861\pi\) |
0.333435 | + | 0.942773i | \(0.391792\pi\) | |||||||
\(882\) | −6079.88 | + | 7157.79i | −0.232109 | + | 0.273260i | ||||
\(883\) | 17048.4 | + | 1854.12i | 0.649743 | + | 0.0706638i | 0.427054 | − | 0.904226i | \(-0.359551\pi\) |
0.222688 | + | 0.974890i | \(0.428517\pi\) | |||||||
\(884\) | −64114.8 | −2.43938 | ||||||||
\(885\) | 25563.8 | − | 9299.99i | 0.970981 | − | 0.353238i | ||||
\(886\) | 4354.35 | 0.165110 | ||||||||
\(887\) | 12107.7 | + | 1316.79i | 0.458327 | + | 0.0498460i | 0.334371 | − | 0.942442i | \(-0.391476\pi\) |
0.123956 | + | 0.992288i | \(0.460442\pi\) | |||||||
\(888\) | 13472.4 | − | 15860.9i | 0.509127 | − | 0.599390i | ||||
\(889\) | −16885.3 | − | 3716.74i | −0.637025 | − | 0.140220i | ||||
\(890\) | 1840.12 | + | 1398.82i | 0.0693044 | + | 0.0526838i | ||||
\(891\) | −854.595 | + | 809.516i | −0.0321325 | + | 0.0304375i | ||||
\(892\) | 21373.1 | − | 53642.5i | 0.802271 | − | 2.01355i | ||||
\(893\) | 50528.0 | + | 17024.9i | 1.89345 | + | 0.637979i | ||||
\(894\) | −3319.21 | − | 20246.3i | −0.124173 | − | 0.757425i | ||||
\(895\) | 13317.6 | + | 12615.1i | 0.497383 | + | 0.471146i | ||||
\(896\) | −30525.6 | + | 14122.7i | −1.13816 | + | 0.526568i | ||||
\(897\) | 9985.49 | − | 7590.77i | 0.371690 | − | 0.282551i | ||||
\(898\) | 7780.93 | − | 47461.6i | 0.289146 | − | 1.76371i | ||||
\(899\) | −2893.07 | + | 5456.91i | −0.107330 | + | 0.202445i | ||||
\(900\) | 43535.7 | − | 9582.93i | 1.61243 | − | 0.354923i | ||||
\(901\) | 6381.42 | + | 2952.36i | 0.235955 | + | 0.109165i | ||||
\(902\) | −5082.05 | − | 12755.0i | −0.187599 | − | 0.470837i | ||||
\(903\) | 1737.20 | + | 32040.7i | 0.0640203 | + | 1.18079i | ||||
\(904\) | 34065.1 | + | 50242.2i | 1.25331 | + | 1.84849i | ||||
\(905\) | 27582.1 | + | 32472.1i | 1.01310 | + | 1.19272i | ||||
\(906\) | −9950.59 | − | 18768.8i | −0.364886 | − | 0.688247i | ||||
\(907\) | 14990.1 | − | 5050.75i | 0.548774 | − | 0.184904i | −0.0312371 | − | 0.999512i | \(-0.509945\pi\) |
0.580011 | + | 0.814608i | \(0.303048\pi\) | |||||||
\(908\) | 4386.57 | − | 80905.5i | 0.160323 | − | 2.95699i | ||||
\(909\) | −3420.01 | + | 2057.75i | −0.124791 | + | 0.0750840i | ||||
\(910\) | −20460.7 | − | 73693.0i | −0.745349 | − | 2.68450i | ||||
\(911\) | 9819.24 | − | 35365.7i | 0.357109 | − | 1.28619i | −0.538982 | − | 0.842318i | \(-0.681191\pi\) |
0.896090 | − | 0.443872i | \(-0.146395\pi\) | |||||||
\(912\) | 37747.8 | + | 22712.1i | 1.37056 | + | 0.824641i | ||||
\(913\) | −8252.83 | + | 12172.0i | −0.299155 | + | 0.441221i | ||||
\(914\) | 24139.2 | − | 2625.30i | 0.873582 | − | 0.0950078i | ||||
\(915\) | −21021.6 | + | 2286.24i | −0.759513 | + | 0.0826020i | ||||
\(916\) | −37732.3 | + | 55651.0i | −1.36104 | + | 2.00738i | ||||
\(917\) | 17288.4 | + | 10402.1i | 0.622589 | + | 0.374599i | ||||
\(918\) | 4096.44 | − | 14754.1i | 0.147280 | − | 0.530453i | ||||
\(919\) | 3316.32 | + | 11944.3i | 0.119037 | + | 0.428734i | 0.998920 | − | 0.0464564i | \(-0.0147929\pi\) |
−0.879883 | + | 0.475191i | \(0.842379\pi\) | |||||||
\(920\) | −113931. | + | 68550.0i | −4.08282 | + | 2.45655i | ||||
\(921\) | −1672.15 | + | 30841.1i | −0.0598256 | + | 1.10342i | ||||
\(922\) | 24457.9 | − | 8240.84i | 0.873621 | − | 0.294357i | ||||
\(923\) | −135.587 | − | 255.745i | −0.00483523 | − | 0.00912021i | ||||
\(924\) | −11882.2 | − | 13988.8i | −0.423047 | − | 0.498049i | ||||
\(925\) | 21049.1 | + | 31045.1i | 0.748206 | + | 1.10352i | ||||
\(926\) | −1422.36 | − | 26234.0i | −0.0504771 | − | 0.930995i | ||||
\(927\) | 5340.08 | + | 13402.6i | 0.189203 | + | 0.474864i | ||||
\(928\) | 4517.02 | + | 2089.79i | 0.159783 | + | 0.0739234i | ||||
\(929\) | −32755.4 | + | 7210.01i | −1.15680 | + | 0.254631i | −0.751615 | − | 0.659602i | \(-0.770725\pi\) |
−0.405187 | + | 0.914234i | \(0.632794\pi\) | |||||||
\(930\) | 32442.6 | − | 61193.3i | 1.14391 | − | 2.15764i | ||||
\(931\) | 4203.40 | − | 25639.6i | 0.147971 | − | 0.902583i | ||||
\(932\) | 25790.0 | − | 19605.0i | 0.906414 | − | 0.689038i | ||||
\(933\) | 5305.37 | − | 2454.52i | 0.186163 | − | 0.0861281i | ||||
\(934\) | −31761.7 | − | 30086.3i | −1.11271 | − | 1.05402i | ||||
\(935\) | −5233.21 | − | 31921.1i | −0.183042 | − | 1.11651i | ||||
\(936\) | 13914.7 | + | 4688.42i | 0.485916 | + | 0.163724i | ||||
\(937\) | 11790.1 | − | 29590.8i | 0.411062 | − | 1.03169i | −0.567064 | − | 0.823674i | \(-0.691921\pi\) |
0.978126 | − | 0.208014i | \(-0.0666998\pi\) | |||||||
\(938\) | 58779.2 | − | 55678.7i | 2.04607 | − | 1.93814i | ||||
\(939\) | −12026.7 | − | 9142.45i | −0.417973 | − | 0.317734i | ||||
\(940\) | −147656. | − | 32501.6i | −5.12342 | − | 1.12775i | ||||
\(941\) | −9629.39 | + | 11336.6i | −0.333591 | + | 0.392734i | −0.903227 | − | 0.429164i | \(-0.858808\pi\) |
0.569636 | + | 0.821897i | \(0.307084\pi\) | |||||||
\(942\) | 33348.8 | + | 3626.90i | 1.15346 | + | 0.125447i | ||||
\(943\) | −24185.2 | −0.835184 | ||||||||
\(944\) | −50069.8 | − | 15547.3i | −1.72631 | − | 0.536041i | ||||
\(945\) | 12642.9 | 0.435210 | ||||||||
\(946\) | −33661.5 | − | 3660.91i | −1.15690 | − | 0.125821i | ||||
\(947\) | 18031.5 | − | 21228.3i | 0.618738 | − | 0.728435i | −0.360136 | − | 0.932900i | \(-0.617270\pi\) |
0.978874 | + | 0.204465i | \(0.0655455\pi\) | |||||||
\(948\) | 10111.4 | + | 2225.69i | 0.346416 | + | 0.0762520i | ||||
\(949\) | −8256.29 | − | 6276.27i | −0.282414 | − | 0.214685i | ||||
\(950\) | −129353. | + | 122530.i | −4.41765 | + | 4.18462i | ||||
\(951\) | −2227.41 | + | 5590.37i | −0.0759502 | + | 0.190621i | ||||
\(952\) | 125633. | + | 42330.8i | 4.27710 | + | 1.44112i | ||||
\(953\) | 416.376 | + | 2539.78i | 0.0141529 | + | 0.0863291i | 0.992959 | − | 0.118463i | \(-0.0377966\pi\) |
−0.978806 | + | 0.204792i | \(0.934348\pi\) | |||||||
\(954\) | −2105.35 | − | 1994.29i | −0.0714499 | − | 0.0676810i | ||||
\(955\) | −41815.7 | + | 19346.0i | −1.41688 | + | 0.655520i | ||||
\(956\) | 76941.0 | − | 58489.0i | 2.60298 | − | 1.97873i | ||||
\(957\) | 192.472 | − | 1174.03i | 0.00650129 | − | 0.0396561i | ||||
\(958\) | 4514.86 | − | 8515.93i | 0.152264 | − | 0.287199i | ||||
\(959\) | −53379.1 | + | 11749.6i | −1.79739 | + | 0.395636i | ||||
\(960\) | −234.113 | − | 108.312i | −0.00787080 | − | 0.00364142i | ||||
\(961\) | −7935.24 | − | 19916.0i | −0.266364 | − | 0.668522i | ||||
\(962\) | 1204.57 | + | 22216.9i | 0.0403708 | + | 0.744596i | ||||
\(963\) | 7958.23 | + | 11737.5i | 0.266304 | + | 0.392769i | ||||
\(964\) | 40149.1 | + | 47267.1i | 1.34140 | + | 1.57922i | ||||
\(965\) | −14841.9 | − | 27994.8i | −0.495106 | − | 0.933870i | ||||
\(966\) | −44263.0 | + | 14913.9i | −1.47426 | + | 0.496737i | ||||
\(967\) | 54.5229 | − | 1005.61i | 0.00181317 | − | 0.0334420i | −0.997487 | − | 0.0708523i | \(-0.977428\pi\) |
0.999300 | + | 0.0374103i | \(0.0119109\pi\) | |||||||
\(968\) | −48860.6 | + | 29398.5i | −1.62236 | + | 0.976139i | ||||
\(969\) | 11333.0 | + | 40817.9i | 0.375717 | + | 1.35321i | ||||
\(970\) | 4387.03 | − | 15800.7i | 0.145216 | − | 0.523020i | ||||
\(971\) | −10767.1 | − | 6478.32i | −0.355851 | − | 0.214108i | 0.326391 | − | 0.945235i | \(-0.394167\pi\) |
−0.682242 | + | 0.731126i | \(0.738995\pi\) | |||||||
\(972\) | −2453.11 | + | 3618.07i | −0.0809501 | + | 0.119393i | ||||
\(973\) | −22218.0 | + | 2416.35i | −0.732042 | + | 0.0796144i | ||||
\(974\) | 5122.44 | − | 557.099i | 0.168515 | − | 0.0183271i | ||||
\(975\) | −14851.8 | + | 21904.7i | −0.487833 | + | 0.719500i | ||||
\(976\) | 34920.3 | + | 21010.8i | 1.14526 | + | 0.689078i | ||||
\(977\) | −215.446 | + | 775.967i | −0.00705500 | + | 0.0254098i | −0.966994 | − | 0.254800i | \(-0.917990\pi\) |
0.959939 | + | 0.280210i | \(0.0904041\pi\) | |||||||
\(978\) | −12102.0 | − | 43587.5i | −0.395684 | − | 1.42513i | ||||
\(979\) | −282.178 | + | 169.781i | −0.00921188 | + | 0.00554261i | ||||
\(980\) | −3988.63 | + | 73566.0i | −0.130012 | + | 2.39794i | ||||
\(981\) | 15688.9 | − | 5286.20i | 0.510609 | − | 0.172044i | ||||
\(982\) | 45878.9 | + | 86536.8i | 1.49089 | + | 2.81212i | ||||
\(983\) | 12970.4 | + | 15270.0i | 0.420847 | + | 0.495459i | 0.931202 | − | 0.364505i | \(-0.118762\pi\) |
−0.510355 | + | 0.859964i | \(0.670486\pi\) | |||||||
\(984\) | −15888.3 | − | 23433.5i | −0.514736 | − | 0.759179i | ||||
\(985\) | 1968.13 | + | 36300.1i | 0.0636649 | + | 1.17423i | ||||
\(986\) | 5728.11 | + | 14376.5i | 0.185010 | + | 0.464341i | ||||
\(987\) | −26765.7 | − | 12383.1i | −0.863182 | − | 0.399351i | ||||
\(988\) | −71446.2 | + | 15726.5i | −2.30061 | + | 0.506404i | ||||
\(989\) | −27937.4 | + | 52695.5i | −0.898238 | + | 1.69426i | ||||
\(990\) | −2158.36 | + | 13165.4i | −0.0692901 | + | 0.422651i | ||||
\(991\) | 40016.7 | − | 30419.9i | 1.28272 | − | 0.975096i | 0.282844 | − | 0.959166i | \(-0.408722\pi\) |
0.999873 | − | 0.0159303i | \(-0.00507099\pi\) | |||||||
\(992\) | −37466.1 | + | 17333.6i | −1.19914 | + | 0.554782i | ||||
\(993\) | −3184.81 | − | 3016.81i | −0.101779 | − | 0.0964106i | ||||
\(994\) | 174.386 | + | 1063.70i | 0.00556456 | + | 0.0339423i | ||||
\(995\) | 35655.6 | + | 12013.8i | 1.13604 | + | 0.382776i | ||||
\(996\) | −20213.5 | + | 50732.1i | −0.643062 | + | 1.61396i | ||||
\(997\) | −5414.19 | + | 5128.59i | −0.171985 | + | 0.162913i | −0.768851 | − | 0.639428i | \(-0.779171\pi\) |
0.596866 | + | 0.802341i | \(0.296413\pi\) | |||||||
\(998\) | 49287.0 | + | 37467.0i | 1.56328 | + | 1.18837i | ||||
\(999\) | −3592.05 | − | 790.669i | −0.113761 | − | 0.0250407i |
(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 | 177.4.e.b.4.14 | ✓ | 420 | |
59.15 | even | 29 | inner | 177.4.e.b.133.14 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.b.4.14 | ✓ | 420 | 1.1 | even | 1 | trivial | |
177.4.e.b.133.14 | yes | 420 | 59.15 | even | 29 | inner |