Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,3,Mod(13,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35968422976\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.15 | ||
Character | \(\chi\) | \(=\) | 160.13 |
Dual form | 160.3.v.a.37.15 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01850 | − | 1.72124i | −0.509251 | − | 0.860618i | ||||
\(3\) | −3.74118 | + | 1.54965i | −1.24706 | + | 0.516549i | −0.905914 | − | 0.423462i | \(-0.860815\pi\) |
−0.341145 | + | 0.940011i | \(0.610815\pi\) | |||||||
\(4\) | −1.92531 | + | 3.50616i | −0.481328 | + | 0.876541i | ||||
\(5\) | 4.07056 | − | 2.90354i | 0.814112 | − | 0.580708i | ||||
\(6\) | 6.47770 | + | 4.86113i | 1.07962 | + | 0.810189i | ||||
\(7\) | 2.79047i | 0.398638i | 0.979935 | + | 0.199319i | \(0.0638730\pi\) | ||||
−0.979935 | + | 0.199319i | \(0.936127\pi\) | |||||||
\(8\) | 7.99587 | − | 0.257117i | 0.999483 | − | 0.0321396i | ||||
\(9\) | 5.23103 | − | 5.23103i | 0.581226 | − | 0.581226i | ||||
\(10\) | −9.14355 | − | 4.04914i | −0.914355 | − | 0.404914i | ||||
\(11\) | 1.65399 | + | 3.99310i | 0.150363 | + | 0.363009i | 0.981057 | − | 0.193721i | \(-0.0620558\pi\) |
−0.830693 | + | 0.556730i | \(0.812056\pi\) | |||||||
\(12\) | 1.76961 | − | 16.1007i | 0.147468 | − | 1.34173i | ||||
\(13\) | −7.46758 | − | 18.0283i | −0.574429 | − | 1.38680i | −0.897750 | − | 0.440506i | \(-0.854799\pi\) |
0.323320 | − | 0.946290i | \(-0.395201\pi\) | |||||||
\(14\) | 4.80306 | − | 2.84209i | 0.343075 | − | 0.203007i | ||||
\(15\) | −10.7292 | + | 17.1706i | −0.715282 | + | 1.14470i | ||||
\(16\) | −8.58636 | − | 13.5009i | −0.536647 | − | 0.843807i | ||||
\(17\) | −19.3732 | − | 19.3732i | −1.13960 | − | 1.13960i | −0.988522 | − | 0.151076i | \(-0.951726\pi\) |
−0.151076 | − | 0.988522i | \(-0.548274\pi\) | |||||||
\(18\) | −14.3317 | − | 3.67603i | −0.796203 | − | 0.204224i | ||||
\(19\) | 7.99876 | − | 19.3107i | 0.420987 | − | 1.01635i | −0.561070 | − | 0.827769i | \(-0.689610\pi\) |
0.982057 | − | 0.188585i | \(-0.0603900\pi\) | |||||||
\(20\) | 2.34319 | + | 19.8623i | 0.117159 | + | 0.993113i | ||||
\(21\) | −4.32424 | − | 10.4396i | −0.205916 | − | 0.497125i | ||||
\(22\) | 5.18847 | − | 6.91389i | 0.235839 | − | 0.314268i | ||||
\(23\) | − | 1.70077i | − | 0.0739467i | −0.999316 | − | 0.0369733i | \(-0.988228\pi\) | ||
0.999316 | − | 0.0369733i | \(-0.0117717\pi\) | |||||||
\(24\) | −29.5155 | + | 13.3527i | −1.22981 | + | 0.556362i | ||||
\(25\) | 8.13893 | − | 23.6381i | 0.325557 | − | 0.945522i | ||||
\(26\) | −23.4253 | + | 31.2154i | −0.900973 | + | 1.20059i | ||||
\(27\) | 2.48284 | − | 5.99412i | 0.0919572 | − | 0.222004i | ||||
\(28\) | −9.78384 | − | 5.37252i | −0.349423 | − | 0.191876i | ||||
\(29\) | 45.8479 | + | 18.9908i | 1.58096 | + | 0.654855i | 0.988566 | − | 0.150792i | \(-0.0481824\pi\) |
0.592395 | + | 0.805647i | \(0.298182\pi\) | |||||||
\(30\) | 40.4824 | + | 0.979288i | 1.34941 | + | 0.0326429i | ||||
\(31\) | −22.3511 | −0.721005 | −0.360502 | − | 0.932758i | \(-0.617395\pi\) | ||||
−0.360502 | + | 0.932758i | \(0.617395\pi\) | |||||||
\(32\) | −14.4930 | + | 28.5298i | −0.452907 | + | 0.891558i | ||||
\(33\) | −12.3758 | − | 12.3758i | −0.375023 | − | 0.375023i | ||||
\(34\) | −13.6142 | + | 53.0774i | −0.400418 | + | 1.56110i | ||||
\(35\) | 8.10223 | + | 11.3588i | 0.231492 | + | 0.324536i | ||||
\(36\) | 8.26949 | + | 28.4122i | 0.229708 | + | 0.789228i | ||||
\(37\) | 5.11335 | − | 12.3447i | 0.138199 | − | 0.333641i | −0.839594 | − | 0.543214i | \(-0.817207\pi\) |
0.977793 | + | 0.209573i | \(0.0672073\pi\) | |||||||
\(38\) | −41.3851 | + | 5.90023i | −1.08908 | + | 0.155269i | ||||
\(39\) | 55.8751 | + | 55.8751i | 1.43269 | + | 1.43269i | ||||
\(40\) | 31.8011 | − | 24.2629i | 0.795028 | − | 0.606573i | ||||
\(41\) | −13.1970 | − | 13.1970i | −0.321877 | − | 0.321877i | 0.527610 | − | 0.849487i | \(-0.323088\pi\) |
−0.849487 | + | 0.527610i | \(0.823088\pi\) | |||||||
\(42\) | −13.5648 | + | 18.0758i | −0.322972 | + | 0.430376i | ||||
\(43\) | 9.99995 | − | 24.1420i | 0.232557 | − | 0.561442i | −0.763920 | − | 0.645311i | \(-0.776728\pi\) |
0.996477 | + | 0.0838689i | \(0.0267277\pi\) | |||||||
\(44\) | −17.1849 | − | 1.88877i | −0.390566 | − | 0.0429267i | ||||
\(45\) | 6.10473 | − | 36.4817i | 0.135661 | − | 0.810705i | ||||
\(46\) | −2.92743 | + | 1.73224i | −0.0636399 | + | 0.0376574i | ||||
\(47\) | −35.7056 | − | 35.7056i | −0.759694 | − | 0.759694i | 0.216573 | − | 0.976266i | \(-0.430512\pi\) |
−0.976266 | + | 0.216573i | \(0.930512\pi\) | |||||||
\(48\) | 53.0447 | + | 37.2034i | 1.10510 | + | 0.775072i | ||||
\(49\) | 41.2133 | 0.841088 | ||||||||
\(50\) | −48.9762 | + | 10.0664i | −0.979524 | + | 0.201327i | ||||
\(51\) | 102.500 | + | 42.4569i | 2.00980 | + | 0.832488i | ||||
\(52\) | 77.5877 | + | 8.52759i | 1.49207 | + | 0.163992i | ||||
\(53\) | −2.13819 | + | 5.16205i | −0.0403432 | + | 0.0973971i | −0.942767 | − | 0.333453i | \(-0.891786\pi\) |
0.902424 | + | 0.430850i | \(0.141786\pi\) | |||||||
\(54\) | −12.8461 | + | 1.83145i | −0.237890 | + | 0.0339158i | ||||
\(55\) | 18.3268 | + | 11.4517i | 0.333214 | + | 0.208213i | ||||
\(56\) | 0.717476 | + | 22.3122i | 0.0128121 | + | 0.398432i | ||||
\(57\) | 84.6400i | 1.48491i | ||||||||
\(58\) | −14.0084 | − | 98.2572i | −0.241525 | − | 1.69409i | ||||
\(59\) | −36.8335 | − | 88.9240i | −0.624297 | − | 1.50719i | −0.846612 | − | 0.532211i | \(-0.821361\pi\) |
0.222314 | − | 0.974975i | \(-0.428639\pi\) | |||||||
\(60\) | −39.5457 | − | 70.6771i | −0.659096 | − | 1.17795i | ||||
\(61\) | 9.73614 | − | 23.5051i | 0.159609 | − | 0.385330i | −0.823763 | − | 0.566935i | \(-0.808129\pi\) |
0.983372 | + | 0.181605i | \(0.0581292\pi\) | |||||||
\(62\) | 22.7647 | + | 38.4716i | 0.367172 | + | 0.620510i | ||||
\(63\) | 14.5970 | + | 14.5970i | 0.231699 | + | 0.231699i | ||||
\(64\) | 63.8678 | − | 4.11174i | 0.997934 | − | 0.0642460i | ||||
\(65\) | −82.7432 | − | 51.7030i | −1.27297 | − | 0.795431i | ||||
\(66\) | −8.69689 | + | 33.9064i | −0.131771 | + | 0.513733i | ||||
\(67\) | 7.85796 | + | 18.9708i | 0.117283 | + | 0.283146i | 0.971609 | − | 0.236591i | \(-0.0760300\pi\) |
−0.854326 | + | 0.519737i | \(0.826030\pi\) | |||||||
\(68\) | 105.225 | − | 30.6261i | 1.54742 | − | 0.450384i | ||||
\(69\) | 2.63560 | + | 6.36289i | 0.0381971 | + | 0.0922159i | ||||
\(70\) | 11.2990 | − | 25.5148i | 0.161414 | − | 0.364497i | ||||
\(71\) | −55.9425 | + | 55.9425i | −0.787923 | + | 0.787923i | −0.981153 | − | 0.193230i | \(-0.938104\pi\) |
0.193230 | + | 0.981153i | \(0.438104\pi\) | |||||||
\(72\) | 40.4817 | − | 43.1716i | 0.562245 | − | 0.599606i | ||||
\(73\) | 44.0596i | 0.603556i | 0.953378 | + | 0.301778i | \(0.0975801\pi\) | ||||
−0.953378 | + | 0.301778i | \(0.902420\pi\) | |||||||
\(74\) | −26.4561 | + | 3.77183i | −0.357515 | + | 0.0509707i | ||||
\(75\) | 6.18145 | + | 101.047i | 0.0824193 | + | 1.34729i | ||||
\(76\) | 52.3064 | + | 65.2241i | 0.688242 | + | 0.858211i | ||||
\(77\) | −11.1426 | + | 4.61542i | −0.144709 | + | 0.0599405i | ||||
\(78\) | 39.2654 | − | 153.083i | 0.503402 | − | 1.96260i | ||||
\(79\) | −104.042 | −1.31699 | −0.658494 | − | 0.752586i | \(-0.728806\pi\) | ||||
−0.658494 | + | 0.752586i | \(0.728806\pi\) | |||||||
\(80\) | −74.1517 | − | 30.0254i | −0.926896 | − | 0.375318i | ||||
\(81\) | 92.8528i | 1.14633i | ||||||||
\(82\) | −9.27397 | + | 36.1562i | −0.113097 | + | 0.440929i | ||||
\(83\) | 51.7975 | + | 125.050i | 0.624066 | + | 1.50663i | 0.846889 | + | 0.531769i | \(0.178473\pi\) |
−0.222824 | + | 0.974859i | \(0.571527\pi\) | |||||||
\(84\) | 44.9285 | + | 4.93805i | 0.534864 | + | 0.0587863i | ||||
\(85\) | −135.110 | − | 22.6089i | −1.58953 | − | 0.265987i | ||||
\(86\) | −51.7391 | + | 7.37639i | −0.601617 | + | 0.0857720i | ||||
\(87\) | −200.954 | −2.30982 | ||||||||
\(88\) | 14.2518 | + | 31.5030i | 0.161952 | + | 0.357989i | ||||
\(89\) | 17.5859 | + | 17.5859i | 0.197594 | + | 0.197594i | 0.798968 | − | 0.601374i | \(-0.205380\pi\) |
−0.601374 | + | 0.798968i | \(0.705380\pi\) | |||||||
\(90\) | −69.0114 | + | 26.6490i | −0.766793 | + | 0.296100i | ||||
\(91\) | 50.3075 | − | 20.8380i | 0.552830 | − | 0.228990i | ||||
\(92\) | 5.96319 | + | 3.27452i | 0.0648173 | + | 0.0355926i | ||||
\(93\) | 83.6196 | − | 34.6364i | 0.899135 | − | 0.372434i | ||||
\(94\) | −25.0916 | + | 97.8240i | −0.266932 | + | 1.04068i | ||||
\(95\) | −23.5100 | − | 101.830i | −0.247473 | − | 1.07190i | ||||
\(96\) | 10.0098 | − | 129.194i | 0.104269 | − | 1.34577i | ||||
\(97\) | −46.2153 | + | 46.2153i | −0.476447 | + | 0.476447i | −0.903993 | − | 0.427547i | \(-0.859378\pi\) |
0.427547 | + | 0.903993i | \(0.359378\pi\) | |||||||
\(98\) | −41.9758 | − | 70.9378i | −0.428324 | − | 0.723855i | ||||
\(99\) | 29.5401 | + | 12.2359i | 0.298385 | + | 0.123595i | ||||
\(100\) | 67.2089 | + | 74.0470i | 0.672089 | + | 0.740470i | ||||
\(101\) | 62.8261 | − | 26.0234i | 0.622041 | − | 0.257658i | −0.0493263 | − | 0.998783i | \(-0.515707\pi\) |
0.671367 | + | 0.741125i | \(0.265707\pi\) | |||||||
\(102\) | −31.3180 | − | 219.669i | −0.307039 | − | 2.15362i | ||||
\(103\) | 93.0239 | 0.903145 | 0.451572 | − | 0.892235i | \(-0.350863\pi\) | ||||
0.451572 | + | 0.892235i | \(0.350863\pi\) | |||||||
\(104\) | −64.3452 | − | 142.232i | −0.618704 | − | 1.36762i | ||||
\(105\) | −47.9139 | − | 29.9396i | −0.456323 | − | 0.285139i | ||||
\(106\) | 11.0628 | − | 1.57722i | 0.104367 | − | 0.0148794i | ||||
\(107\) | −29.8925 | − | 12.3819i | −0.279369 | − | 0.115718i | 0.238600 | − | 0.971118i | \(-0.423312\pi\) |
−0.517969 | + | 0.855400i | \(0.673312\pi\) | |||||||
\(108\) | 16.2361 | + | 20.2458i | 0.150334 | + | 0.187461i | ||||
\(109\) | 62.5486 | − | 151.006i | 0.573841 | − | 1.38537i | −0.324421 | − | 0.945913i | \(-0.605169\pi\) |
0.898262 | − | 0.439461i | \(-0.144831\pi\) | |||||||
\(110\) | 1.04523 | − | 43.2083i | 0.00950209 | − | 0.392803i | ||||
\(111\) | 54.1077i | 0.487456i | ||||||||
\(112\) | 37.6738 | − | 23.9600i | 0.336374 | − | 0.213928i | ||||
\(113\) | −106.563 | + | 106.563i | −0.943032 | + | 0.943032i | −0.998463 | − | 0.0554301i | \(-0.982347\pi\) |
0.0554301 | + | 0.998463i | \(0.482347\pi\) | |||||||
\(114\) | 145.685 | − | 86.2060i | 1.27794 | − | 0.756193i | ||||
\(115\) | −4.93826 | − | 6.92310i | −0.0429414 | − | 0.0602009i | ||||
\(116\) | −154.856 | + | 124.187i | −1.33497 | + | 1.07058i | ||||
\(117\) | −133.370 | − | 55.2437i | −1.13991 | − | 0.472168i | ||||
\(118\) | −115.544 | + | 153.968i | −0.979188 | + | 1.30482i | ||||
\(119\) | 54.0602 | − | 54.0602i | 0.454287 | − | 0.454287i | ||||
\(120\) | −81.3746 | + | 140.052i | −0.678122 | + | 1.16710i | ||||
\(121\) | 72.3508 | − | 72.3508i | 0.597941 | − | 0.597941i | ||||
\(122\) | −50.3742 | + | 7.18180i | −0.412903 | + | 0.0588672i | ||||
\(123\) | 69.8228 | + | 28.9215i | 0.567665 | + | 0.235134i | ||||
\(124\) | 43.0329 | − | 78.3668i | 0.347039 | − | 0.631990i | ||||
\(125\) | −35.5040 | − | 119.852i | −0.284032 | − | 0.958815i | ||||
\(126\) | 10.2578 | − | 39.9920i | 0.0814115 | − | 0.317397i | ||||
\(127\) | 67.2415 | − | 67.2415i | 0.529460 | − | 0.529460i | −0.390951 | − | 0.920411i | \(-0.627854\pi\) |
0.920411 | + | 0.390951i | \(0.127854\pi\) | |||||||
\(128\) | −72.1267 | − | 105.744i | −0.563490 | − | 0.826123i | ||||
\(129\) | 105.816i | 0.820278i | ||||||||
\(130\) | −4.71909 | + | 195.080i | −0.0363007 | + | 1.50062i | ||||
\(131\) | −52.7726 | + | 127.404i | −0.402845 | + | 0.972553i | 0.584128 | + | 0.811662i | \(0.301437\pi\) |
−0.986972 | + | 0.160891i | \(0.948563\pi\) | |||||||
\(132\) | 67.2187 | − | 19.5643i | 0.509232 | − | 0.148214i | ||||
\(133\) | 53.8859 | + | 22.3203i | 0.405157 | + | 0.167822i | ||||
\(134\) | 24.6499 | − | 32.8472i | 0.183954 | − | 0.245128i | ||||
\(135\) | −7.29758 | − | 31.6084i | −0.0540561 | − | 0.234137i | ||||
\(136\) | −159.886 | − | 149.924i | −1.17564 | − | 1.10238i | ||||
\(137\) | 230.063 | 1.67929 | 0.839647 | − | 0.543132i | \(-0.182762\pi\) | ||||
0.839647 | + | 0.543132i | \(0.182762\pi\) | |||||||
\(138\) | 8.26769 | − | 11.0171i | 0.0599108 | − | 0.0798341i | ||||
\(139\) | −14.6123 | + | 6.05262i | −0.105125 | + | 0.0435441i | −0.434626 | − | 0.900611i | \(-0.643119\pi\) |
0.329501 | + | 0.944155i | \(0.393119\pi\) | |||||||
\(140\) | −55.4250 | + | 6.53858i | −0.395893 | + | 0.0467042i | ||||
\(141\) | 188.912 | + | 78.2499i | 1.33980 | + | 0.554964i | ||||
\(142\) | 153.268 | + | 39.3128i | 1.07935 | + | 0.276851i | ||||
\(143\) | 59.6375 | − | 59.6375i | 0.417046 | − | 0.417046i | ||||
\(144\) | −115.539 | − | 25.7082i | −0.802356 | − | 0.178529i | ||||
\(145\) | 241.767 | − | 55.8178i | 1.66736 | − | 0.384950i | ||||
\(146\) | 75.8369 | − | 44.8747i | 0.519431 | − | 0.307361i | ||||
\(147\) | −154.186 | + | 63.8660i | −1.04889 | + | 0.434463i | ||||
\(148\) | 33.4378 | + | 41.6957i | 0.225931 | + | 0.281728i | ||||
\(149\) | −240.263 | + | 99.5204i | −1.61251 | + | 0.667922i | −0.993113 | − | 0.117159i | \(-0.962621\pi\) |
−0.619393 | + | 0.785081i | \(0.712621\pi\) | |||||||
\(150\) | 167.629 | − | 113.556i | 1.11753 | − | 0.757039i | ||||
\(151\) | −71.4781 | − | 71.4781i | −0.473365 | − | 0.473365i | 0.429637 | − | 0.903002i | \(-0.358642\pi\) |
−0.903002 | + | 0.429637i | \(0.858642\pi\) | |||||||
\(152\) | 58.9919 | − | 156.463i | 0.388105 | − | 1.02936i | ||||
\(153\) | −202.683 | −1.32473 | ||||||||
\(154\) | 19.2930 | + | 14.4782i | 0.125279 | + | 0.0940146i | ||||
\(155\) | −90.9817 | + | 64.8974i | −0.586979 | + | 0.418693i | ||||
\(156\) | −303.484 | + | 88.3303i | −1.94541 | + | 0.566220i | ||||
\(157\) | −81.8660 | − | 197.642i | −0.521439 | − | 1.25887i | −0.937009 | − | 0.349305i | \(-0.886418\pi\) |
0.415570 | − | 0.909561i | \(-0.363582\pi\) | |||||||
\(158\) | 105.967 | + | 179.081i | 0.670677 | + | 1.13342i | ||||
\(159\) | − | 22.6256i | − | 0.142299i | ||||||
\(160\) | 23.8427 | + | 158.214i | 0.149017 | + | 0.988835i | ||||
\(161\) | 4.74595 | 0.0294780 | ||||||||
\(162\) | 159.822 | − | 94.5707i | 0.986553 | − | 0.583769i | ||||
\(163\) | 36.7126 | − | 15.2069i | 0.225231 | − | 0.0932936i | −0.267215 | − | 0.963637i | \(-0.586103\pi\) |
0.492445 | + | 0.870344i | \(0.336103\pi\) | |||||||
\(164\) | 71.6790 | − | 20.8625i | 0.437067 | − | 0.127210i | ||||
\(165\) | −86.3098 | − | 14.4428i | −0.523090 | − | 0.0875321i | ||||
\(166\) | 162.485 | − | 216.519i | 0.978826 | − | 1.30433i | ||||
\(167\) | 189.222i | 1.13307i | 0.824038 | + | 0.566534i | \(0.191716\pi\) | ||||
−0.824038 | + | 0.566534i | \(0.808284\pi\) | |||||||
\(168\) | −37.2602 | − | 82.3621i | −0.221787 | − | 0.490250i | ||||
\(169\) | −149.755 | + | 149.755i | −0.886125 | + | 0.886125i | ||||
\(170\) | 98.6948 | + | 255.584i | 0.580558 | + | 1.50344i | ||||
\(171\) | −59.1732 | − | 142.857i | −0.346042 | − | 0.835420i | ||||
\(172\) | 65.3928 | + | 81.5423i | 0.380191 | + | 0.474083i | ||||
\(173\) | −11.2043 | − | 27.0496i | −0.0647648 | − | 0.156356i | 0.888184 | − | 0.459489i | \(-0.151967\pi\) |
−0.952948 | + | 0.303133i | \(0.901967\pi\) | |||||||
\(174\) | 204.672 | + | 345.889i | 1.17627 | + | 1.98787i | ||||
\(175\) | 65.9612 | + | 22.7114i | 0.376921 | + | 0.129780i | ||||
\(176\) | 39.7086 | − | 56.6166i | 0.225617 | − | 0.321685i | ||||
\(177\) | 275.601 | + | 275.601i | 1.55707 | + | 1.55707i | ||||
\(178\) | 12.3582 | − | 48.1807i | 0.0694282 | − | 0.270678i | ||||
\(179\) | 129.786 | − | 313.330i | 0.725059 | − | 1.75045i | 0.0666618 | − | 0.997776i | \(-0.478765\pi\) |
0.658397 | − | 0.752671i | \(-0.271235\pi\) | |||||||
\(180\) | 116.157 | + | 91.6429i | 0.645319 | + | 0.509127i | ||||
\(181\) | 72.5101 | + | 175.055i | 0.400608 | + | 0.967154i | 0.987519 | + | 0.157502i | \(0.0503441\pi\) |
−0.586910 | + | 0.809652i | \(0.699656\pi\) | |||||||
\(182\) | −87.1055 | − | 65.3675i | −0.478601 | − | 0.359162i | ||||
\(183\) | 103.024i | 0.562975i | ||||||||
\(184\) | −0.437297 | − | 13.5992i | −0.00237662 | − | 0.0739085i | ||||
\(185\) | −15.0292 | − | 65.0968i | −0.0812387 | − | 0.351874i | ||||
\(186\) | −144.784 | − | 108.652i | −0.778409 | − | 0.584150i | ||||
\(187\) | 45.3158 | − | 109.402i | 0.242331 | − | 0.585038i | ||||
\(188\) | 193.934 | − | 56.4453i | 1.03156 | − | 0.300241i | ||||
\(189\) | 16.7264 | + | 6.92830i | 0.0884994 | + | 0.0366577i | ||||
\(190\) | −151.329 | + | 144.180i | −0.796467 | + | 0.758844i | ||||
\(191\) | −156.854 | −0.821226 | −0.410613 | − | 0.911810i | \(-0.634685\pi\) | ||||
−0.410613 | + | 0.911810i | \(0.634685\pi\) | |||||||
\(192\) | −232.569 | + | 114.355i | −1.21130 | + | 0.595600i | ||||
\(193\) | 163.113 | + | 163.113i | 0.845145 | + | 0.845145i | 0.989523 | − | 0.144378i | \(-0.0461181\pi\) |
−0.144378 | + | 0.989523i | \(0.546118\pi\) | |||||||
\(194\) | 126.618 | + | 32.4772i | 0.652670 | + | 0.167408i | ||||
\(195\) | 389.678 | + | 65.2075i | 1.99835 | + | 0.334397i | ||||
\(196\) | −79.3484 | + | 144.501i | −0.404839 | + | 0.737248i | ||||
\(197\) | −99.3359 | + | 239.818i | −0.504243 | + | 1.21735i | 0.442909 | + | 0.896566i | \(0.353946\pi\) |
−0.947152 | + | 0.320784i | \(0.896054\pi\) | |||||||
\(198\) | −9.02574 | − | 63.3078i | −0.0455845 | − | 0.319737i | ||||
\(199\) | −77.5407 | − | 77.5407i | −0.389652 | − | 0.389652i | 0.484912 | − | 0.874563i | \(-0.338852\pi\) |
−0.874563 | + | 0.484912i | \(0.838852\pi\) | |||||||
\(200\) | 59.0001 | − | 191.099i | 0.295000 | − | 0.955497i | ||||
\(201\) | −58.7960 | − | 58.7960i | −0.292518 | − | 0.292518i | ||||
\(202\) | −108.781 | − | 81.6337i | −0.538520 | − | 0.404127i | ||||
\(203\) | −52.9932 | + | 127.937i | −0.261050 | + | 0.630231i | ||||
\(204\) | −346.205 | + | 277.639i | −1.69708 | + | 1.36098i | ||||
\(205\) | −92.0369 | − | 15.4012i | −0.448961 | − | 0.0751276i | ||||
\(206\) | −94.7449 | − | 160.116i | −0.459927 | − | 0.777263i | ||||
\(207\) | −8.89681 | − | 8.89681i | −0.0429797 | − | 0.0429797i | ||||
\(208\) | −179.280 | + | 255.617i | −0.861921 | + | 1.22893i | ||||
\(209\) | 90.3394 | 0.432246 | ||||||||
\(210\) | −2.73267 | + | 112.965i | −0.0130127 | + | 0.537927i | ||||
\(211\) | 19.1040 | + | 7.91312i | 0.0905401 | + | 0.0375029i | 0.427494 | − | 0.904018i | \(-0.359397\pi\) |
−0.336954 | + | 0.941521i | \(0.609397\pi\) | |||||||
\(212\) | −13.9823 | − | 17.4354i | −0.0659542 | − | 0.0822424i | ||||
\(213\) | 122.600 | − | 295.982i | 0.575586 | − | 1.38959i | ||||
\(214\) | 9.13340 | + | 64.0630i | 0.0426794 | + | 0.299360i | ||||
\(215\) | −29.3919 | − | 127.307i | −0.136706 | − | 0.592125i | ||||
\(216\) | 18.3113 | − | 48.5665i | 0.0847746 | − | 0.224845i | ||||
\(217\) | − | 62.3701i | − | 0.287420i | ||||||
\(218\) | −323.622 | + | 46.1386i | −1.48451 | + | 0.211645i | ||||
\(219\) | −68.2767 | − | 164.835i | −0.311766 | − | 0.752669i | ||||
\(220\) | −75.4363 | + | 42.2086i | −0.342892 | + | 0.191857i | ||||
\(221\) | −204.595 | + | 493.937i | −0.925771 | + | 2.23501i | ||||
\(222\) | 93.1321 | − | 55.1087i | 0.419514 | − | 0.248238i | ||||
\(223\) | −216.363 | − | 216.363i | −0.970238 | − | 0.970238i | 0.0293320 | − | 0.999570i | \(-0.490662\pi\) |
−0.999570 | + | 0.0293320i | \(0.990662\pi\) | |||||||
\(224\) | −79.6116 | − | 40.4423i | −0.355409 | − | 0.180546i | ||||
\(225\) | −81.0765 | − | 166.227i | −0.360340 | − | 0.738784i | ||||
\(226\) | 291.954 | + | 74.8853i | 1.29183 | + | 0.331351i | ||||
\(227\) | 29.5285 | + | 71.2882i | 0.130082 | + | 0.314045i | 0.975479 | − | 0.220093i | \(-0.0706362\pi\) |
−0.845397 | + | 0.534138i | \(0.820636\pi\) | |||||||
\(228\) | −296.762 | − | 162.958i | −1.30159 | − | 0.714729i | ||||
\(229\) | 21.3649 | + | 51.5794i | 0.0932965 | + | 0.225238i | 0.963638 | − | 0.267211i | \(-0.0861020\pi\) |
−0.870342 | + | 0.492448i | \(0.836102\pi\) | |||||||
\(230\) | −6.88667 | + | 15.5511i | −0.0299421 | + | 0.0676135i | ||||
\(231\) | 34.5342 | − | 34.5342i | 0.149499 | − | 0.149499i | ||||
\(232\) | 371.476 | + | 140.060i | 1.60119 | + | 0.603706i | ||||
\(233\) | 9.01298i | 0.0386823i | 0.999813 | + | 0.0193412i | \(0.00615686\pi\) | ||||
−0.999813 | + | 0.0193412i | \(0.993843\pi\) | |||||||
\(234\) | 40.7501 | + | 285.827i | 0.174146 | + | 1.22148i | ||||
\(235\) | −249.014 | − | 41.6692i | −1.05964 | − | 0.177316i | ||||
\(236\) | 382.698 | + | 42.0620i | 1.62160 | + | 0.178229i | ||||
\(237\) | 389.240 | − | 161.228i | 1.64236 | − | 0.680288i | ||||
\(238\) | −148.111 | − | 37.9900i | −0.622314 | − | 0.159622i | ||||
\(239\) | 407.381 | 1.70452 | 0.852262 | − | 0.523114i | \(-0.175230\pi\) | ||||
0.852262 | + | 0.523114i | \(0.175230\pi\) | |||||||
\(240\) | 323.943 | − | 2.57844i | 1.34976 | − | 0.0107435i | ||||
\(241\) | − | 136.112i | − | 0.564782i | −0.959299 | − | 0.282391i | \(-0.908872\pi\) | ||
0.959299 | − | 0.282391i | \(-0.0911275\pi\) | |||||||
\(242\) | −198.222 | − | 50.8435i | −0.819100 | − | 0.210097i | ||||
\(243\) | −121.543 | − | 293.431i | −0.500178 | − | 1.20754i | ||||
\(244\) | 63.6677 | + | 79.3912i | 0.260933 | + | 0.325374i | ||||
\(245\) | 167.761 | − | 119.664i | 0.684740 | − | 0.488426i | ||||
\(246\) | −21.3338 | − | 149.638i | −0.0867226 | − | 0.608285i | ||||
\(247\) | −407.871 | −1.65130 | ||||||||
\(248\) | −178.717 | + | 5.74685i | −0.720632 | + | 0.0231728i | ||||
\(249\) | −387.567 | − | 387.567i | −1.55649 | − | 1.55649i | ||||
\(250\) | −170.133 | + | 183.180i | −0.680530 | + | 0.732720i | ||||
\(251\) | 212.163 | − | 87.8810i | 0.845273 | − | 0.350123i | 0.0823424 | − | 0.996604i | \(-0.473760\pi\) |
0.762930 | + | 0.646481i | \(0.223760\pi\) | |||||||
\(252\) | −79.2834 | + | 23.0758i | −0.314617 | + | 0.0915705i | ||||
\(253\) | 6.79135 | − | 2.81307i | 0.0268433 | − | 0.0111189i | ||||
\(254\) | −184.224 | − | 47.2530i | −0.725291 | − | 0.186035i | ||||
\(255\) | 540.508 | − | 124.789i | 2.11964 | − | 0.489370i | ||||
\(256\) | −108.549 | + | 231.847i | −0.424019 | + | 0.905653i | ||||
\(257\) | −165.113 | + | 165.113i | −0.642463 | + | 0.642463i | −0.951160 | − | 0.308697i | \(-0.900107\pi\) |
0.308697 | + | 0.951160i | \(0.400107\pi\) | |||||||
\(258\) | 182.134 | − | 107.774i | 0.705947 | − | 0.417727i | ||||
\(259\) | 34.4476 | + | 14.2686i | 0.133002 | + | 0.0550913i | ||||
\(260\) | 340.586 | − | 190.567i | 1.30994 | − | 0.732949i | ||||
\(261\) | 339.173 | − | 140.490i | 1.29951 | − | 0.538277i | ||||
\(262\) | 273.042 | − | 38.9274i | 1.04215 | − | 0.148578i | ||||
\(263\) | 188.205 | 0.715610 | 0.357805 | − | 0.933796i | \(-0.383525\pi\) | ||||
0.357805 | + | 0.933796i | \(0.383525\pi\) | |||||||
\(264\) | −102.137 | − | 95.7730i | −0.386883 | − | 0.362776i | ||||
\(265\) | 6.28457 | + | 27.2207i | 0.0237153 | + | 0.102720i | ||||
\(266\) | −16.4644 | − | 115.484i | −0.0618962 | − | 0.434149i | ||||
\(267\) | −93.0438 | − | 38.5400i | −0.348479 | − | 0.144345i | ||||
\(268\) | −81.6437 | − | 8.97338i | −0.304641 | − | 0.0334828i | ||||
\(269\) | −70.2090 | + | 169.500i | −0.261000 | + | 0.630110i | −0.999001 | − | 0.0446899i | \(-0.985770\pi\) |
0.738001 | + | 0.674800i | \(0.235770\pi\) | |||||||
\(270\) | −46.9730 | + | 44.7541i | −0.173974 | + | 0.165756i | ||||
\(271\) | − | 504.494i | − | 1.86160i | −0.365525 | − | 0.930801i | \(-0.619111\pi\) | ||
0.365525 | − | 0.930801i | \(-0.380889\pi\) | |||||||
\(272\) | −95.2103 | + | 427.900i | −0.350038 | + | 1.57316i | ||||
\(273\) | −155.918 | + | 155.918i | −0.571127 | + | 0.571127i | ||||
\(274\) | −234.320 | − | 395.993i | −0.855182 | − | 1.44523i | ||||
\(275\) | 107.851 | − | 6.59769i | 0.392185 | − | 0.0239916i | ||||
\(276\) | −27.3837 | − | 3.00971i | −0.0992163 | − | 0.0109048i | ||||
\(277\) | 88.6689 | + | 36.7278i | 0.320104 | + | 0.132591i | 0.536949 | − | 0.843615i | \(-0.319577\pi\) |
−0.216845 | + | 0.976206i | \(0.569577\pi\) | |||||||
\(278\) | 25.3007 | + | 18.9867i | 0.0910096 | + | 0.0682974i | ||||
\(279\) | −116.920 | + | 116.920i | −0.419067 | + | 0.419067i | ||||
\(280\) | 67.7049 | + | 88.7400i | 0.241803 | + | 0.316929i | ||||
\(281\) | 114.728 | − | 114.728i | 0.408284 | − | 0.408284i | −0.472856 | − | 0.881140i | \(-0.656777\pi\) |
0.881140 | + | 0.472856i | \(0.156777\pi\) | |||||||
\(282\) | −57.7205 | − | 404.860i | −0.204683 | − | 1.43567i | ||||
\(283\) | 98.4416 | + | 40.7758i | 0.347850 | + | 0.144084i | 0.549766 | − | 0.835319i | \(-0.314717\pi\) |
−0.201916 | + | 0.979403i | \(0.564717\pi\) | |||||||
\(284\) | −88.4369 | − | 303.850i | −0.311398 | − | 1.06990i | ||||
\(285\) | 245.756 | + | 344.532i | 0.862300 | + | 1.20889i | ||||
\(286\) | −163.391 | − | 41.9094i | −0.571298 | − | 0.146536i | ||||
\(287\) | 36.8257 | − | 36.8257i | 0.128313 | − | 0.128313i | ||||
\(288\) | 73.4270 | + | 225.054i | 0.254955 | + | 0.781438i | ||||
\(289\) | 461.639i | 1.59737i | ||||||||
\(290\) | −342.316 | − | 359.288i | −1.18040 | − | 1.23892i | ||||
\(291\) | 101.282 | − | 244.517i | 0.348049 | − | 0.840265i | ||||
\(292\) | −154.480 | − | 84.8284i | −0.529041 | − | 0.290508i | ||||
\(293\) | 85.5555 | + | 35.4382i | 0.291998 | + | 0.120950i | 0.523874 | − | 0.851796i | \(-0.324486\pi\) |
−0.231876 | + | 0.972745i | \(0.574486\pi\) | |||||||
\(294\) | 266.967 | + | 200.343i | 0.908052 | + | 0.681440i | ||||
\(295\) | −408.127 | − | 255.023i | −1.38348 | − | 0.864485i | ||||
\(296\) | 37.7116 | − | 100.022i | 0.127404 | − | 0.337910i | ||||
\(297\) | 28.0417 | 0.0944165 | ||||||||
\(298\) | 416.007 | + | 312.189i | 1.39600 | + | 1.04761i | ||||
\(299\) | −30.6621 | + | 12.7007i | −0.102549 | + | 0.0424772i | ||||
\(300\) | −366.187 | − | 172.873i | −1.22062 | − | 0.576243i | ||||
\(301\) | 67.3675 | + | 27.9045i | 0.223812 | + | 0.0927061i | ||||
\(302\) | −50.2302 | + | 195.831i | −0.166325 | + | 0.648448i | ||||
\(303\) | −194.716 | + | 194.716i | −0.642629 | + | 0.642629i | ||||
\(304\) | −329.392 | + | 57.8182i | −1.08353 | + | 0.190192i | ||||
\(305\) | −28.6165 | − | 123.948i | −0.0938245 | − | 0.406388i | ||||
\(306\) | 206.433 | + | 348.866i | 0.674619 | + | 1.14009i | ||||
\(307\) | 214.710 | − | 88.9356i | 0.699380 | − | 0.289693i | −0.00452211 | − | 0.999990i | \(-0.501439\pi\) |
0.703902 | + | 0.710297i | \(0.251439\pi\) | |||||||
\(308\) | 5.27057 | − | 47.9539i | 0.0171122 | − | 0.155694i | ||||
\(309\) | −348.019 | + | 144.154i | −1.12627 | + | 0.466518i | ||||
\(310\) | 204.369 | + | 90.5029i | 0.659254 | + | 0.291945i | ||||
\(311\) | 91.5871 | + | 91.5871i | 0.294492 | + | 0.294492i | 0.838852 | − | 0.544360i | \(-0.183227\pi\) |
−0.544360 | + | 0.838852i | \(0.683227\pi\) | |||||||
\(312\) | 461.136 | + | 432.403i | 1.47800 | + | 1.38591i | ||||
\(313\) | −289.431 | −0.924701 | −0.462351 | − | 0.886697i | \(-0.652994\pi\) | ||||
−0.462351 | + | 0.886697i | \(0.652994\pi\) | |||||||
\(314\) | −256.808 | + | 342.209i | −0.817860 | + | 1.08984i | ||||
\(315\) | 101.801 | + | 17.0351i | 0.323178 | + | 0.0540796i | ||||
\(316\) | 200.313 | − | 364.788i | 0.633903 | − | 1.15439i | ||||
\(317\) | −130.781 | − | 315.734i | −0.412559 | − | 0.996005i | −0.984448 | − | 0.175674i | \(-0.943789\pi\) |
0.571890 | − | 0.820331i | \(-0.306211\pi\) | |||||||
\(318\) | −38.9439 | + | 23.0442i | −0.122465 | + | 0.0724659i | ||||
\(319\) | 214.486i | 0.672369i | ||||||||
\(320\) | 248.039 | − | 202.180i | 0.775122 | − | 0.631811i | ||||
\(321\) | 131.020 | 0.408164 | ||||||||
\(322\) | −4.83376 | − | 8.16891i | −0.0150117 | − | 0.0253693i | ||||
\(323\) | −529.071 | + | 219.148i | −1.63799 | + | 0.678478i | ||||
\(324\) | −325.557 | − | 178.770i | −1.00481 | − | 0.551760i | ||||
\(325\) | −486.933 | + | 29.7877i | −1.49826 | + | 0.0916546i | ||||
\(326\) | −63.5664 | − | 47.7029i | −0.194989 | − | 0.146328i | ||||
\(327\) | 661.867i | 2.02406i | ||||||||
\(328\) | −108.914 | − | 102.128i | −0.332056 | − | 0.311366i | ||||
\(329\) | 99.6353 | − | 99.6353i | 0.302843 | − | 0.302843i | ||||
\(330\) | 63.0472 | + | 163.270i | 0.191052 | + | 0.494757i | ||||
\(331\) | −179.781 | − | 434.031i | −0.543146 | − | 1.31127i | −0.922492 | − | 0.386016i | \(-0.873851\pi\) |
0.379346 | − | 0.925255i | \(-0.376149\pi\) | |||||||
\(332\) | −538.172 | − | 59.1500i | −1.62100 | − | 0.178163i | ||||
\(333\) | −37.8276 | − | 91.3238i | −0.113596 | − | 0.274246i | ||||
\(334\) | 325.697 | − | 192.723i | 0.975140 | − | 0.577016i | ||||
\(335\) | 87.0688 | + | 54.4059i | 0.259907 | + | 0.162406i | ||||
\(336\) | −103.815 | + | 148.020i | −0.308973 | + | 0.440534i | ||||
\(337\) | −149.386 | − | 149.386i | −0.443282 | − | 0.443282i | 0.449832 | − | 0.893113i | \(-0.351484\pi\) |
−0.893113 | + | 0.449832i | \(0.851484\pi\) | |||||||
\(338\) | 410.290 | + | 105.238i | 1.21388 | + | 0.311356i | ||||
\(339\) | 233.535 | − | 563.804i | 0.688895 | − | 1.66314i | ||||
\(340\) | 339.400 | − | 430.190i | 0.998235 | − | 1.26526i | ||||
\(341\) | −36.9687 | − | 89.2503i | −0.108413 | − | 0.261731i | ||||
\(342\) | −185.622 | + | 247.351i | −0.542755 | + | 0.723248i | ||||
\(343\) | 251.737i | 0.733928i | ||||||||
\(344\) | 73.7510 | − | 195.608i | 0.214392 | − | 0.568627i | ||||
\(345\) | 29.2033 | + | 18.2480i | 0.0846471 | + | 0.0528927i | ||||
\(346\) | −35.1471 | + | 46.8353i | −0.101581 | + | 0.135362i | ||||
\(347\) | −204.853 | + | 494.558i | −0.590354 | + | 1.42524i | 0.292808 | + | 0.956171i | \(0.405410\pi\) |
−0.883162 | + | 0.469068i | \(0.844590\pi\) | |||||||
\(348\) | 386.899 | − | 704.577i | 1.11178 | − | 2.02465i | ||||
\(349\) | 200.896 | + | 83.2137i | 0.575632 | + | 0.238435i | 0.651456 | − | 0.758687i | \(-0.274159\pi\) |
−0.0758237 | + | 0.997121i | \(0.524159\pi\) | |||||||
\(350\) | −28.0899 | − | 136.667i | −0.0802568 | − | 0.390476i | ||||
\(351\) | −126.605 | −0.360697 | ||||||||
\(352\) | −137.894 | − | 10.6839i | −0.391744 | − | 0.0303519i | ||||
\(353\) | 161.528 | + | 161.528i | 0.457588 | + | 0.457588i | 0.897863 | − | 0.440275i | \(-0.145119\pi\) |
−0.440275 | + | 0.897863i | \(0.645119\pi\) | |||||||
\(354\) | 193.675 | − | 755.076i | 0.547104 | − | 2.13298i | ||||
\(355\) | −65.2862 | + | 390.149i | −0.183905 | + | 1.09901i | ||||
\(356\) | −95.5173 | + | 27.8007i | −0.268307 | + | 0.0780919i | ||||
\(357\) | −118.475 | + | 286.023i | −0.331862 | + | 0.801185i | ||||
\(358\) | −671.502 | + | 95.7354i | −1.87570 | + | 0.267417i | ||||
\(359\) | 286.163 | + | 286.163i | 0.797112 | + | 0.797112i | 0.982639 | − | 0.185527i | \(-0.0593993\pi\) |
−0.185527 | + | 0.982639i | \(0.559399\pi\) | |||||||
\(360\) | 39.4326 | − | 293.273i | 0.109535 | − | 0.814647i | ||||
\(361\) | −53.6579 | − | 53.6579i | −0.148637 | − | 0.148637i | ||||
\(362\) | 227.459 | − | 303.101i | 0.628340 | − | 0.837294i | ||||
\(363\) | −158.559 | + | 382.795i | −0.436802 | + | 1.05453i | ||||
\(364\) | −23.7960 | + | 216.506i | −0.0653735 | + | 0.594797i | ||||
\(365\) | 127.929 | + | 179.347i | 0.350489 | + | 0.491362i | ||||
\(366\) | 177.329 | − | 104.930i | 0.484506 | − | 0.286695i | ||||
\(367\) | −76.1431 | − | 76.1431i | −0.207474 | − | 0.207474i | 0.595719 | − | 0.803193i | \(-0.296867\pi\) |
−0.803193 | + | 0.595719i | \(0.796867\pi\) | |||||||
\(368\) | −22.9620 | + | 14.6035i | −0.0623967 | + | 0.0396833i | ||||
\(369\) | −138.068 | −0.374167 | ||||||||
\(370\) | −96.7397 | + | 92.1699i | −0.261459 | + | 0.249108i | ||||
\(371\) | −14.4045 | − | 5.96655i | −0.0388262 | − | 0.0160823i | ||||
\(372\) | −39.5529 | + | 359.870i | −0.106325 | + | 0.967391i | ||||
\(373\) | 81.3890 | − | 196.490i | 0.218201 | − | 0.526784i | −0.776438 | − | 0.630194i | \(-0.782975\pi\) |
0.994639 | + | 0.103410i | \(0.0329754\pi\) | |||||||
\(374\) | −234.461 | + | 33.4269i | −0.626901 | + | 0.0893767i | ||||
\(375\) | 318.555 | + | 393.368i | 0.849479 | + | 1.04898i | ||||
\(376\) | −294.678 | − | 276.317i | −0.783717 | − | 0.734885i | ||||
\(377\) | − | 968.376i | − | 2.56864i | ||||||
\(378\) | −5.11061 | − | 35.8466i | −0.0135201 | − | 0.0948321i | ||||
\(379\) | −18.2815 | − | 44.1355i | −0.0482362 | − | 0.116452i | 0.897925 | − | 0.440149i | \(-0.145074\pi\) |
−0.946161 | + | 0.323696i | \(0.895074\pi\) | |||||||
\(380\) | 402.297 | + | 113.625i | 1.05868 | + | 0.299013i | ||||
\(381\) | −147.362 | + | 355.763i | −0.386776 | + | 0.933760i | ||||
\(382\) | 159.756 | + | 269.983i | 0.418210 | + | 0.706762i | ||||
\(383\) | 50.6330 | + | 50.6330i | 0.132201 | + | 0.132201i | 0.770111 | − | 0.637910i | \(-0.220201\pi\) |
−0.637910 | + | 0.770111i | \(0.720201\pi\) | |||||||
\(384\) | 433.704 | + | 283.835i | 1.12944 | + | 0.739154i | ||||
\(385\) | −31.9556 | + | 51.1403i | −0.0830016 | + | 0.132832i | ||||
\(386\) | 114.625 | − | 446.887i | 0.296956 | − | 1.15774i | ||||
\(387\) | −73.9776 | − | 178.598i | −0.191157 | − | 0.461493i | ||||
\(388\) | −73.0596 | − | 251.017i | −0.188298 | − | 0.646952i | ||||
\(389\) | −128.358 | − | 309.884i | −0.329970 | − | 0.796617i | −0.998594 | − | 0.0530164i | \(-0.983116\pi\) |
0.668624 | − | 0.743601i | \(-0.266884\pi\) | |||||||
\(390\) | −284.650 | − | 737.142i | −0.729873 | − | 1.89011i | ||||
\(391\) | −32.9494 | + | 32.9494i | −0.0842695 | + | 0.0842695i | ||||
\(392\) | 329.536 | − | 10.5966i | 0.840653 | − | 0.0270322i | ||||
\(393\) | − | 558.421i | − | 1.42092i | ||||||
\(394\) | 513.957 | − | 73.2744i | 1.30446 | − | 0.185976i | ||||
\(395\) | −423.510 | + | 302.090i | −1.07218 | + | 0.764785i | ||||
\(396\) | −99.7750 | + | 80.0145i | −0.251957 | + | 0.202057i | ||||
\(397\) | −77.6992 | + | 32.1840i | −0.195716 | + | 0.0810681i | −0.478389 | − | 0.878148i | \(-0.658779\pi\) |
0.282673 | + | 0.959216i | \(0.408779\pi\) | |||||||
\(398\) | −54.4906 | + | 212.441i | −0.136911 | + | 0.533772i | ||||
\(399\) | −236.185 | −0.591943 | ||||||||
\(400\) | −389.019 | + | 93.0819i | −0.972547 | + | 0.232705i | ||||
\(401\) | − | 315.322i | − | 0.786339i | −0.919466 | − | 0.393170i | \(-0.871378\pi\) | ||
0.919466 | − | 0.393170i | \(-0.128622\pi\) | |||||||
\(402\) | −41.3181 | + | 161.086i | −0.102781 | + | 0.400711i | ||||
\(403\) | 166.909 | + | 402.954i | 0.414166 | + | 0.999886i | ||||
\(404\) | −29.7174 | + | 270.382i | −0.0735579 | + | 0.669262i | ||||
\(405\) | 269.602 | + | 377.963i | 0.665683 | + | 0.933242i | ||||
\(406\) | 274.183 | − | 39.0901i | 0.675329 | − | 0.0962810i | ||||
\(407\) | 57.7511 | 0.141895 | ||||||||
\(408\) | 830.493 | + | 313.125i | 2.03552 | + | 0.767464i | ||||
\(409\) | 462.287 | + | 462.287i | 1.13029 | + | 1.13029i | 0.990129 | + | 0.140156i | \(0.0447604\pi\) |
0.140156 | + | 0.990129i | \(0.455240\pi\) | |||||||
\(410\) | 67.2307 | + | 174.103i | 0.163977 | + | 0.424642i | ||||
\(411\) | −860.707 | + | 356.517i | −2.09418 | + | 0.867437i | ||||
\(412\) | −179.100 | + | 326.157i | −0.434708 | + | 0.791643i | ||||
\(413\) | 248.140 | − | 102.783i | 0.600822 | − | 0.248869i | ||||
\(414\) | −6.25210 | + | 24.3749i | −0.0151017 | + | 0.0588766i | ||||
\(415\) | 573.932 | + | 358.628i | 1.38297 | + | 0.864164i | ||||
\(416\) | 622.574 | + | 48.2363i | 1.49657 | + | 0.115953i | ||||
\(417\) | 45.2879 | − | 45.2879i | 0.108604 | − | 0.108604i | ||||
\(418\) | −92.0108 | − | 155.496i | −0.220122 | − | 0.371999i | ||||
\(419\) | 600.631 | + | 248.789i | 1.43349 | + | 0.593769i | 0.958210 | − | 0.286067i | \(-0.0923480\pi\) |
0.475277 | + | 0.879836i | \(0.342348\pi\) | |||||||
\(420\) | 197.222 | − | 110.351i | 0.469577 | − | 0.262741i | ||||
\(421\) | −199.910 | + | 82.8053i | −0.474845 | + | 0.196687i | −0.607254 | − | 0.794508i | \(-0.707729\pi\) |
0.132409 | + | 0.991195i | \(0.457729\pi\) | |||||||
\(422\) | −5.83706 | − | 40.9420i | −0.0138319 | − | 0.0970189i | ||||
\(423\) | −373.554 | −0.883107 | ||||||||
\(424\) | −15.7694 | + | 41.8248i | −0.0371920 | + | 0.0986434i | ||||
\(425\) | −615.621 | + | 300.267i | −1.44852 | + | 0.706511i | ||||
\(426\) | −634.323 | + | 90.4348i | −1.48902 | + | 0.212288i | ||||
\(427\) | 65.5903 | + | 27.1684i | 0.153607 | + | 0.0636262i | ||||
\(428\) | 100.965 | − | 80.9689i | 0.235900 | − | 0.189180i | ||||
\(429\) | −130.697 | + | 315.532i | −0.304656 | + | 0.735505i | ||||
\(430\) | −189.189 | + | 180.252i | −0.439976 | + | 0.419192i | ||||
\(431\) | 721.398i | 1.67378i | 0.547373 | + | 0.836889i | \(0.315628\pi\) | ||||
−0.547373 | + | 0.836889i | \(0.684372\pi\) | |||||||
\(432\) | −102.245 | + | 17.9470i | −0.236677 | + | 0.0415440i | ||||
\(433\) | 296.202 | − | 296.202i | 0.684069 | − | 0.684069i | −0.276846 | − | 0.960914i | \(-0.589289\pi\) |
0.960914 | + | 0.276846i | \(0.0892891\pi\) | |||||||
\(434\) | −107.354 | + | 63.5241i | −0.247359 | + | 0.146369i | ||||
\(435\) | −817.995 | + | 583.477i | −1.88045 | + | 1.34133i | ||||
\(436\) | 409.025 | + | 510.039i | 0.938131 | + | 1.16981i | ||||
\(437\) | −32.8432 | − | 13.6041i | −0.0751560 | − | 0.0311306i | ||||
\(438\) | −214.179 | + | 285.405i | −0.488994 | + | 0.651609i | ||||
\(439\) | 302.019 | − | 302.019i | 0.687971 | − | 0.687971i | −0.273812 | − | 0.961783i | \(-0.588285\pi\) |
0.961783 | + | 0.273812i | \(0.0882847\pi\) | |||||||
\(440\) | 149.483 | + | 86.8542i | 0.339734 | + | 0.197396i | ||||
\(441\) | 215.588 | − | 215.588i | 0.488862 | − | 0.488862i | ||||
\(442\) | 1058.56 | − | 150.918i | 2.39494 | − | 0.341444i | ||||
\(443\) | 708.179 | + | 293.337i | 1.59860 | + | 0.662161i | 0.991217 | − | 0.132248i | \(-0.0422197\pi\) |
0.607382 | + | 0.794410i | \(0.292220\pi\) | |||||||
\(444\) | −189.710 | − | 104.174i | −0.427275 | − | 0.234626i | ||||
\(445\) | 122.646 | + | 20.5231i | 0.275608 | + | 0.0461194i | ||||
\(446\) | −152.046 | + | 592.778i | −0.340910 | + | 1.32910i | ||||
\(447\) | 744.646 | − | 744.646i | 1.66588 | − | 1.66588i | ||||
\(448\) | 11.4737 | + | 178.221i | 0.0256109 | + | 0.397815i | ||||
\(449\) | − | 300.498i | − | 0.669262i | −0.942349 | − | 0.334631i | \(-0.891388\pi\) | ||
0.942349 | − | 0.334631i | \(-0.108612\pi\) | |||||||
\(450\) | −203.539 | + | 308.854i | −0.452308 | + | 0.686341i | ||||
\(451\) | 30.8690 | − | 74.5244i | 0.0684457 | − | 0.165243i | ||||
\(452\) | −168.460 | − | 578.792i | −0.372699 | − | 1.28051i | ||||
\(453\) | 378.178 | + | 156.647i | 0.834830 | + | 0.345798i | ||||
\(454\) | 92.6290 | − | 123.433i | 0.204029 | − | 0.271878i | ||||
\(455\) | 144.276 | − | 230.892i | 0.317089 | − | 0.507456i | ||||
\(456\) | 21.7624 | + | 676.770i | 0.0477245 | + | 1.48415i | ||||
\(457\) | 681.833 | 1.49198 | 0.745988 | − | 0.665960i | \(-0.231978\pi\) | ||||
0.745988 | + | 0.665960i | \(0.231978\pi\) | |||||||
\(458\) | 67.0202 | − | 89.3077i | 0.146332 | − | 0.194995i | ||||
\(459\) | −164.226 | + | 68.0245i | −0.357790 | + | 0.148201i | ||||
\(460\) | 33.7812 | − | 3.98523i | 0.0734374 | − | 0.00866354i | ||||
\(461\) | −171.000 | − | 70.8307i | −0.370934 | − | 0.153646i | 0.189426 | − | 0.981895i | \(-0.439337\pi\) |
−0.560360 | + | 0.828249i | \(0.689337\pi\) | |||||||
\(462\) | −94.6146 | − | 24.2684i | −0.204794 | − | 0.0525290i | ||||
\(463\) | −269.456 | + | 269.456i | −0.581979 | + | 0.581979i | −0.935447 | − | 0.353468i | \(-0.885002\pi\) |
0.353468 | + | 0.935447i | \(0.385002\pi\) | |||||||
\(464\) | −137.273 | − | 782.050i | −0.295847 | − | 1.68545i | ||||
\(465\) | 239.811 | − | 383.782i | 0.515722 | − | 0.825338i | ||||
\(466\) | 15.5135 | − | 9.17973i | 0.0332907 | − | 0.0196990i | ||||
\(467\) | −219.890 | + | 91.0815i | −0.470857 | + | 0.195035i | −0.605478 | − | 0.795862i | \(-0.707018\pi\) |
0.134621 | + | 0.990897i | \(0.457018\pi\) | |||||||
\(468\) | 450.472 | − | 361.256i | 0.962547 | − | 0.771914i | ||||
\(469\) | −52.9374 | + | 21.9274i | −0.112873 | + | 0.0467535i | ||||
\(470\) | 181.899 | + | 471.053i | 0.387019 | + | 1.00224i | ||||
\(471\) | 612.550 | + | 612.550i | 1.30053 | + | 1.30053i | ||||
\(472\) | −317.380 | − | 701.554i | −0.672415 | − | 1.48634i | ||||
\(473\) | 112.941 | 0.238776 | ||||||||
\(474\) | −673.953 | − | 505.762i | −1.42184 | − | 1.06701i | ||||
\(475\) | −391.366 | − | 346.244i | −0.823929 | − | 0.728934i | ||||
\(476\) | 85.4612 | + | 293.627i | 0.179540 | + | 0.616863i | ||||
\(477\) | 15.8179 | + | 38.1878i | 0.0331612 | + | 0.0800582i | ||||
\(478\) | −414.919 | − | 701.200i | −0.868030 | − | 1.46695i | ||||
\(479\) | − | 248.806i | − | 0.519429i | −0.965685 | − | 0.259714i | \(-0.916372\pi\) | ||
0.965685 | − | 0.259714i | \(-0.0836284\pi\) | |||||||
\(480\) | −334.375 | − | 554.957i | −0.696614 | − | 1.15616i | ||||
\(481\) | −260.739 | −0.542077 | ||||||||
\(482\) | −234.282 | + | 138.631i | −0.486061 | + | 0.287615i | ||||
\(483\) | −17.7555 | + | 7.35455i | −0.0367608 | + | 0.0152268i | ||||
\(484\) | 114.376 | + | 392.971i | 0.236314 | + | 0.811925i | ||||
\(485\) | −53.9343 | + | 322.310i | −0.111205 | + | 0.664557i | ||||
\(486\) | −381.273 | + | 508.065i | −0.784512 | + | 1.04540i | ||||
\(487\) | − | 529.727i | − | 1.08774i | −0.839171 | − | 0.543868i | \(-0.816959\pi\) | ||
0.839171 | − | 0.543868i | \(-0.183041\pi\) | |||||||
\(488\) | 71.8053 | − | 190.447i | 0.147142 | − | 0.390261i | ||||
\(489\) | −113.783 | + | 113.783i | −0.232685 | + | 0.232685i | ||||
\(490\) | −376.836 | − | 166.878i | −0.769052 | − | 0.340568i | ||||
\(491\) | −85.9811 | − | 207.577i | −0.175114 | − | 0.422763i | 0.811816 | − | 0.583914i | \(-0.198479\pi\) |
−0.986930 | + | 0.161151i | \(0.948479\pi\) | |||||||
\(492\) | −235.834 | + | 189.127i | −0.479338 | + | 0.384405i | ||||
\(493\) | −520.306 | − | 1256.13i | −1.05539 | − | 2.54793i | ||||
\(494\) | 415.418 | + | 702.043i | 0.840926 | + | 1.42114i | ||||
\(495\) | 155.772 | − | 35.9638i | 0.314692 | − | 0.0726542i | ||||
\(496\) | 191.915 | + | 301.761i | 0.386925 | + | 0.608388i | ||||
\(497\) | −156.106 | − | 156.106i | −0.314096 | − | 0.314096i | ||||
\(498\) | −272.357 | + | 1061.83i | −0.546901 | + | 2.13219i | ||||
\(499\) | −152.988 | + | 369.346i | −0.306589 | + | 0.740172i | 0.693222 | + | 0.720725i | \(0.256191\pi\) |
−0.999811 | + | 0.0194475i | \(0.993809\pi\) | |||||||
\(500\) | 488.576 | + | 106.269i | 0.977153 | + | 0.212538i | ||||
\(501\) | −293.228 | − | 707.915i | −0.585285 | − | 1.41300i | ||||
\(502\) | −367.353 | − | 275.677i | −0.731778 | − | 0.549157i | ||||
\(503\) | − | 578.396i | − | 1.14989i | −0.818191 | − | 0.574947i | \(-0.805023\pi\) | ||
0.818191 | − | 0.574947i | \(-0.194977\pi\) | |||||||
\(504\) | 120.469 | + | 112.963i | 0.239026 | + | 0.224132i | ||||
\(505\) | 180.178 | − | 288.348i | 0.356787 | − | 0.570986i | ||||
\(506\) | −11.7590 | − | 8.82441i | −0.0232391 | − | 0.0174395i | ||||
\(507\) | 328.193 | − | 792.328i | 0.647323 | − | 1.56278i | ||||
\(508\) | 106.299 | + | 365.220i | 0.209250 | + | 0.718938i | ||||
\(509\) | −650.200 | − | 269.321i | −1.27741 | − | 0.529119i | −0.362198 | − | 0.932101i | \(-0.617974\pi\) |
−0.915208 | + | 0.402982i | \(0.867974\pi\) | |||||||
\(510\) | −765.300 | − | 803.243i | −1.50059 | − | 1.57499i | ||||
\(511\) | −122.947 | −0.240600 | ||||||||
\(512\) | 509.621 | − | 49.2984i | 0.995354 | − | 0.0962860i | ||||
\(513\) | −95.8910 | − | 95.8910i | −0.186922 | − | 0.186922i | ||||
\(514\) | 452.366 | + | 116.031i | 0.880090 | + | 0.225741i | ||||
\(515\) | 378.659 | − | 270.098i | 0.735261 | − | 0.524463i | ||||
\(516\) | −371.008 | − | 203.729i | −0.719008 | − | 0.394823i | ||||
\(517\) | 83.5190 | − | 201.633i | 0.161545 | − | 0.390005i | ||||
\(518\) | −10.5252 | − | 73.8250i | −0.0203189 | − | 0.142519i | ||||
\(519\) | 83.8345 | + | 83.8345i | 0.161531 | + | 0.161531i | ||||
\(520\) | −674.897 | − | 392.136i | −1.29788 | − | 0.754108i | ||||
\(521\) | 248.868 | + | 248.868i | 0.477673 | + | 0.477673i | 0.904387 | − | 0.426714i | \(-0.140329\pi\) |
−0.426714 | + | 0.904387i | \(0.640329\pi\) | |||||||
\(522\) | −587.265 | − | 440.708i | −1.12503 | − | 0.844268i | ||||
\(523\) | 350.550 | − | 846.303i | 0.670268 | − | 1.61817i | −0.110886 | − | 0.993833i | \(-0.535369\pi\) |
0.781154 | − | 0.624338i | \(-0.214631\pi\) | |||||||
\(524\) | −345.097 | − | 430.323i | −0.658582 | − | 0.821226i | ||||
\(525\) | −281.967 | + | 17.2491i | −0.537080 | + | 0.0328555i | ||||
\(526\) | −191.687 | − | 323.946i | −0.364425 | − | 0.615867i | ||||
\(527\) | 433.012 | + | 433.012i | 0.821656 | + | 0.821656i | ||||
\(528\) | −60.8213 | + | 273.347i | −0.115192 | + | 0.517702i | ||||
\(529\) | 526.107 | 0.994532 | ||||||||
\(530\) | 40.4525 | − | 38.5416i | 0.0763254 | − | 0.0727200i | ||||
\(531\) | −657.842 | − | 272.487i | −1.23887 | − | 0.513158i | ||||
\(532\) | −182.006 | + | 145.959i | −0.342116 | + | 0.274360i | ||||
\(533\) | −139.370 | + | 336.469i | −0.261482 | + | 0.631273i | ||||
\(534\) | 28.4288 | + | 199.403i | 0.0532374 | + | 0.373415i | ||||
\(535\) | −157.630 | + | 36.3928i | −0.294636 | + | 0.0680239i | ||||
\(536\) | 67.7089 | + | 149.668i | 0.126323 | + | 0.279231i | ||||
\(537\) | 1373.34i | 2.55744i | ||||||||
\(538\) | 363.257 | − | 51.7892i | 0.675199 | − | 0.0962624i | ||||
\(539\) | 68.1666 | + | 164.569i | 0.126469 | + | 0.305322i | ||||
\(540\) | 124.874 | + | 35.2696i | 0.231249 | + | 0.0653140i | ||||
\(541\) | −348.911 | + | 842.345i | −0.644937 | + | 1.55701i | 0.175005 | + | 0.984568i | \(0.444006\pi\) |
−0.819942 | + | 0.572447i | \(0.805994\pi\) | |||||||
\(542\) | −868.354 | + | 513.828i | −1.60213 | + | 0.948022i | ||||
\(543\) | −542.546 | − | 542.546i | −0.999164 | − | 0.999164i | ||||
\(544\) | 833.489 | − | 271.937i | 1.53215 | − | 0.499885i | ||||
\(545\) | −183.843 | − | 796.290i | −0.337327 | − | 1.46108i | ||||
\(546\) | 427.173 | + | 109.569i | 0.782369 | + | 0.200675i | ||||
\(547\) | −234.412 | − | 565.922i | −0.428542 | − | 1.03459i | −0.979750 | − | 0.200224i | \(-0.935833\pi\) |
0.551208 | − | 0.834368i | \(-0.314167\pi\) | |||||||
\(548\) | −442.943 | + | 806.639i | −0.808291 | + | 1.47197i | ||||
\(549\) | −72.0260 | − | 173.886i | −0.131195 | − | 0.316733i | ||||
\(550\) | −121.202 | − | 178.917i | −0.220368 | − | 0.325304i | ||||
\(551\) | 733.452 | − | 733.452i | 1.33113 | − | 1.33113i | ||||
\(552\) | 22.7099 | + | 50.1992i | 0.0411411 | + | 0.0909406i | ||||
\(553\) | − | 290.326i | − | 0.525002i | ||||||
\(554\) | −27.0920 | − | 190.027i | −0.0489026 | − | 0.343010i | ||||
\(555\) | 157.104 | + | 220.249i | 0.283070 | + | 0.396844i | ||||
\(556\) | 6.91178 | − | 62.8864i | 0.0124313 | − | 0.113105i | ||||
\(557\) | 780.974 | − | 323.490i | 1.40211 | − | 0.580772i | 0.451809 | − | 0.892114i | \(-0.350779\pi\) |
0.950298 | + | 0.311343i | \(0.100779\pi\) | |||||||
\(558\) | 320.329 | + | 82.1635i | 0.574066 | + | 0.147246i | ||||
\(559\) | −509.916 | −0.912193 | ||||||||
\(560\) | 83.7850 | − | 206.918i | 0.149616 | − | 0.369496i | ||||
\(561\) | 479.516i | 0.854752i | ||||||||
\(562\) | −314.324 | − | 80.6233i | −0.559296 | − | 0.143458i | ||||
\(563\) | 273.377 | + | 659.990i | 0.485572 | + | 1.17227i | 0.956927 | + | 0.290330i | \(0.0937650\pi\) |
−0.471355 | + | 0.881944i | \(0.656235\pi\) | |||||||
\(564\) | −638.071 | + | 511.701i | −1.13133 | + | 0.907271i | ||||
\(565\) | −124.361 | + | 743.179i | −0.220108 | + | 1.31536i | ||||
\(566\) | −30.0780 | − | 210.971i | −0.0531414 | − | 0.372741i | ||||
\(567\) | −259.103 | −0.456971 | ||||||||
\(568\) | −432.925 | + | 461.693i | −0.762192 | + | 0.812839i | ||||
\(569\) | 264.813 | + | 264.813i | 0.465400 | + | 0.465400i | 0.900421 | − | 0.435020i | \(-0.143259\pi\) |
−0.435020 | + | 0.900421i | \(0.643259\pi\) | |||||||
\(570\) | 342.719 | − | 773.910i | 0.601262 | − | 1.35774i | ||||
\(571\) | −614.866 | + | 254.686i | −1.07682 | + | 0.446034i | −0.849393 | − | 0.527760i | \(-0.823032\pi\) |
−0.227429 | + | 0.973795i | \(0.573032\pi\) | |||||||
\(572\) | 94.2782 | + | 323.920i | 0.164822 | + | 0.566293i | ||||
\(573\) | 586.819 | − | 243.068i | 1.02412 | − | 0.424203i | ||||
\(574\) | −100.893 | − | 25.8787i | −0.175771 | − | 0.0450849i | ||||
\(575\) | −40.2030 | − | 13.8425i | −0.0699182 | − | 0.0240739i | ||||
\(576\) | 312.586 | − | 355.603i | 0.542684 | − | 0.617367i | ||||
\(577\) | 390.388 | − | 390.388i | 0.676582 | − | 0.676582i | −0.282643 | − | 0.959225i | \(-0.591211\pi\) |
0.959225 | + | 0.282643i | \(0.0912113\pi\) | |||||||
\(578\) | 794.590 | − | 470.180i | 1.37472 | − | 0.813461i | ||||
\(579\) | −863.001 | − | 357.467i | −1.49050 | − | 0.617387i | ||||
\(580\) | −269.770 | + | 955.141i | −0.465121 | + | 1.64680i | ||||
\(581\) | −348.948 | + | 144.539i | −0.600600 | + | 0.248776i | ||||
\(582\) | −524.028 | + | 74.7102i | −0.900392 | + | 0.128368i | ||||
\(583\) | −24.1491 | −0.0414221 | ||||||||
\(584\) | 11.3285 | + | 352.294i | 0.0193980 | + | 0.603244i | ||||
\(585\) | −703.293 | + | 162.372i | −1.20221 | + | 0.277559i | ||||
\(586\) | −26.1408 | − | 183.355i | −0.0446088 | − | 0.312893i | ||||
\(587\) | 939.450 | + | 389.133i | 1.60043 | + | 0.662918i | 0.991476 | − | 0.130291i | \(-0.0415913\pi\) |
0.608949 | + | 0.793209i | \(0.291591\pi\) | |||||||
\(588\) | 72.9316 | − | 663.564i | 0.124033 | − | 1.12851i | ||||
\(589\) | −178.781 | + | 431.617i | −0.303534 | + | 0.732795i | ||||
\(590\) | −23.2767 | + | 962.225i | −0.0394520 | + | 1.63089i | ||||
\(591\) | − | 1051.14i | − | 1.77857i | ||||||
\(592\) | −210.570 | + | 36.9614i | −0.355693 | + | 0.0624347i | ||||
\(593\) | −785.574 | + | 785.574i | −1.32474 | + | 1.32474i | −0.414859 | + | 0.909886i | \(0.636169\pi\) |
−0.909886 | + | 0.414859i | \(0.863831\pi\) | |||||||
\(594\) | −28.5605 | − | 48.2664i | −0.0480816 | − | 0.0812565i | ||||
\(595\) | 63.0895 | − | 377.021i | 0.106033 | − | 0.633649i | ||||
\(596\) | 113.647 | − | 1034.01i | 0.190683 | − | 1.73492i | ||||
\(597\) | 410.254 | + | 169.933i | 0.687192 | + | 0.284644i | ||||
\(598\) | 53.0903 | + | 39.8411i | 0.0887797 | + | 0.0666240i | ||||
\(599\) | 77.3833 | − | 77.3833i | 0.129188 | − | 0.129188i | −0.639557 | − | 0.768744i | \(-0.720882\pi\) |
0.768744 | + | 0.639557i | \(0.220882\pi\) | |||||||
\(600\) | 75.4068 | + | 806.366i | 0.125678 | + | 1.34394i | ||||
\(601\) | 41.5641 | − | 41.5641i | 0.0691582 | − | 0.0691582i | −0.671682 | − | 0.740840i | \(-0.734428\pi\) |
0.740840 | + | 0.671682i | \(0.234428\pi\) | |||||||
\(602\) | −20.5836 | − | 144.376i | −0.0341920 | − | 0.239828i | ||||
\(603\) | 140.342 | + | 58.1316i | 0.232740 | + | 0.0964040i | ||||
\(604\) | 388.232 | − | 112.996i | 0.642768 | − | 0.187080i | ||||
\(605\) | 84.4350 | − | 504.582i | 0.139562 | − | 0.834019i | ||||
\(606\) | 533.472 | + | 136.834i | 0.880317 | + | 0.225799i | ||||
\(607\) | −538.187 | + | 538.187i | −0.886634 | + | 0.886634i | −0.994198 | − | 0.107564i | \(-0.965695\pi\) |
0.107564 | + | 0.994198i | \(0.465695\pi\) | |||||||
\(608\) | 435.005 | + | 508.074i | 0.715469 | + | 0.835648i | ||||
\(609\) | − | 560.755i | − | 0.920781i | ||||||
\(610\) | −184.198 | + | 175.497i | −0.301965 | + | 0.287700i | ||||
\(611\) | −377.078 | + | 910.347i | −0.617149 | + | 1.48993i | ||||
\(612\) | 390.228 | − | 710.641i | 0.637628 | − | 1.16118i | ||||
\(613\) | −285.795 | − | 118.380i | −0.466223 | − | 0.193116i | 0.137190 | − | 0.990545i | \(-0.456193\pi\) |
−0.603413 | + | 0.797429i | \(0.706193\pi\) | |||||||
\(614\) | −371.761 | − | 278.985i | −0.605474 | − | 0.454373i | ||||
\(615\) | 368.193 | − | 85.0062i | 0.598687 | − | 0.138221i | ||||
\(616\) | −87.9081 | + | 39.7692i | −0.142708 | + | 0.0645604i | ||||
\(617\) | −41.2749 | −0.0668962 | −0.0334481 | − | 0.999440i | \(-0.510649\pi\) | ||||
−0.0334481 | + | 0.999440i | \(0.510649\pi\) | |||||||
\(618\) | 602.581 | + | 452.201i | 0.975050 | + | 0.731718i | ||||
\(619\) | 470.502 | − | 194.888i | 0.760100 | − | 0.314844i | 0.0312449 | − | 0.999512i | \(-0.490053\pi\) |
0.728855 | + | 0.684668i | \(0.240053\pi\) | |||||||
\(620\) | −52.3729 | − | 443.944i | −0.0844724 | − | 0.716039i | ||||
\(621\) | −10.1946 | − | 4.22276i | −0.0164165 | − | 0.00679993i | ||||
\(622\) | 64.3615 | − | 250.925i | 0.103475 | − | 0.403416i | ||||
\(623\) | −49.0729 | + | 49.0729i | −0.0787686 | + | 0.0787686i | ||||
\(624\) | 274.601 | − | 1234.13i | 0.440065 | − | 1.97777i | ||||
\(625\) | −492.516 | − | 384.777i | −0.788025 | − | 0.615643i | ||||
\(626\) | 294.786 | + | 498.180i | 0.470905 | + | 0.795815i | ||||
\(627\) | −337.976 | + | 139.994i | −0.539036 | + | 0.223276i | ||||
\(628\) | 850.582 | + | 93.4866i | 1.35443 | + | 0.148864i | ||||
\(629\) | −338.218 | + | 140.095i | −0.537708 | + | 0.222726i | ||||
\(630\) | −74.3632 | − | 192.574i | −0.118037 | − | 0.305673i | ||||
\(631\) | 639.646 | + | 639.646i | 1.01370 | + | 1.01370i | 0.999905 | + | 0.0137978i | \(0.00439213\pi\) |
0.0137978 | + | 0.999905i | \(0.495608\pi\) | |||||||
\(632\) | −831.907 | + | 26.7510i | −1.31631 | + | 0.0423275i | ||||
\(633\) | −83.7338 | −0.132281 | ||||||||
\(634\) | −410.251 | + | 546.680i | −0.647084 | + | 0.862272i | ||||
\(635\) | 78.4723 | − | 468.949i | 0.123578 | − | 0.738502i | ||||
\(636\) | 79.3289 | + | 43.5612i | 0.124731 | + | 0.0684925i | ||||
\(637\) | −307.764 | − | 743.007i | −0.483145 | − | 1.16642i | ||||
\(638\) | 369.180 | − | 218.454i | 0.578653 | − | 0.342404i | ||||
\(639\) | 585.275i | 0.915923i | ||||||||
\(640\) | −600.627 | − | 221.014i | −0.938480 | − | 0.345334i | ||||
\(641\) | −456.055 | −0.711474 | −0.355737 | − | 0.934586i | \(-0.615770\pi\) | ||||
−0.355737 | + | 0.934586i | \(0.615770\pi\) | |||||||
\(642\) | −133.445 | − | 225.517i | −0.207858 | − | 0.351273i | ||||
\(643\) | 487.508 | − | 201.932i | 0.758177 | − | 0.314047i | 0.0301042 | − | 0.999547i | \(-0.490416\pi\) |
0.728073 | + | 0.685499i | \(0.240416\pi\) | |||||||
\(644\) | −9.13744 | + | 16.6401i | −0.0141886 | + | 0.0258386i | ||||
\(645\) | 307.241 | + | 430.730i | 0.476342 | + | 0.667799i | ||||
\(646\) | 916.066 | + | 687.453i | 1.41806 | + | 1.06417i | ||||
\(647\) | 327.136i | 0.505620i | 0.967516 | + | 0.252810i | \(0.0813548\pi\) | ||||
−0.967516 | + | 0.252810i | \(0.918645\pi\) | |||||||
\(648\) | 23.8740 | + | 742.438i | 0.0368426 | + | 1.14574i | ||||
\(649\) | 294.160 | − | 294.160i | 0.453251 | − | 0.453251i | ||||
\(650\) | 547.214 | + | 807.788i | 0.841867 | + | 1.24275i | ||||
\(651\) | 96.6516 | + | 233.338i | 0.148466 | + | 0.358430i | ||||
\(652\) | −17.3654 | + | 157.998i | −0.0266341 | + | 0.242329i | ||||
\(653\) | 242.353 | + | 585.091i | 0.371138 | + | 0.896005i | 0.993558 | + | 0.113322i | \(0.0361493\pi\) |
−0.622421 | + | 0.782683i | \(0.713851\pi\) | |||||||
\(654\) | 1139.23 | − | 674.113i | 1.74194 | − | 1.03075i | ||||
\(655\) | 155.109 | + | 671.835i | 0.236808 | + | 1.02570i | ||||
\(656\) | −64.8571 | + | 291.485i | −0.0988675 | + | 0.444337i | ||||
\(657\) | 230.477 | + | 230.477i | 0.350802 | + | 0.350802i | ||||
\(658\) | −272.975 | − | 70.0173i | −0.414855 | − | 0.106409i | ||||
\(659\) | 17.2225 | − | 41.5788i | 0.0261343 | − | 0.0630938i | −0.910274 | − | 0.414007i | \(-0.864129\pi\) |
0.936408 | + | 0.350913i | \(0.114129\pi\) | |||||||
\(660\) | 216.812 | − | 274.809i | 0.328503 | − | 0.416378i | ||||
\(661\) | 68.4223 | + | 165.186i | 0.103513 | + | 0.249903i | 0.967148 | − | 0.254216i | \(-0.0818173\pi\) |
−0.863634 | + | 0.504119i | \(0.831817\pi\) | |||||||
\(662\) | −563.962 | + | 751.507i | −0.851906 | + | 1.13521i | ||||
\(663\) | − | 2164.95i | − | 3.26539i | ||||||
\(664\) | 446.318 | + | 986.566i | 0.672166 | + | 1.48579i | ||||
\(665\) | 284.154 | − | 65.6038i | 0.427299 | − | 0.0986523i | ||||
\(666\) | −118.662 | + | 158.124i | −0.178172 | + | 0.237423i | ||||
\(667\) | 32.2991 | − | 77.9768i | 0.0484244 | − | 0.116907i | ||||
\(668\) | −663.445 | − | 364.312i | −0.993181 | − | 0.545377i | ||||
\(669\) | 1144.74 | + | 474.166i | 1.71112 | + | 0.708768i | ||||
\(670\) | 4.96578 | − | 205.278i | 0.00741162 | − | 0.306386i | ||||
\(671\) | 109.962 | 0.163877 | ||||||||
\(672\) | 360.512 | + | 27.9321i | 0.536477 | + | 0.0415657i | ||||
\(673\) | 323.888 | + | 323.888i | 0.481260 | + | 0.481260i | 0.905534 | − | 0.424274i | \(-0.139471\pi\) |
−0.424274 | + | 0.905534i | \(0.639471\pi\) | |||||||
\(674\) | −104.979 | + | 409.278i | −0.155755 | + | 0.607238i | ||||
\(675\) | −121.482 | − | 107.475i | −0.179973 | − | 0.159223i | ||||
\(676\) | −236.741 | − | 813.391i | −0.350208 | − | 1.20324i | ||||
\(677\) | 87.7495 | − | 211.846i | 0.129615 | − | 0.312919i | −0.845727 | − | 0.533615i | \(-0.820833\pi\) |
0.975343 | + | 0.220696i | \(0.0708330\pi\) | |||||||
\(678\) | −1208.30 | + | 172.266i | −1.78215 | + | 0.254079i | ||||
\(679\) | −128.962 | − | 128.962i | −0.189930 | − | 0.189930i | ||||
\(680\) | −1086.14 | − | 146.039i | −1.59726 | − | 0.214763i | ||||
\(681\) | −220.943 | − | 220.943i | −0.324439 | − | 0.324439i | ||||
\(682\) | −115.968 | + | 154.533i | −0.170041 | + | 0.226588i | ||||
\(683\) | 335.778 | − | 810.641i | 0.491623 | − | 1.18688i | −0.462271 | − | 0.886739i | \(-0.652965\pi\) |
0.953894 | − | 0.300144i | \(-0.0970346\pi\) | |||||||
\(684\) | 614.806 | + | 67.5727i | 0.898839 | + | 0.0987905i | ||||
\(685\) | 936.487 | − | 667.998i | 1.36713 | − | 0.975179i | ||||
\(686\) | 433.299 | − | 256.395i | 0.631632 | − | 0.373753i | ||||
\(687\) | −159.860 | − | 159.860i | −0.232692 | − | 0.232692i | ||||
\(688\) | −411.802 | + | 72.2837i | −0.598550 | + | 0.105063i | ||||
\(689\) | 109.030 | 0.158244 | ||||||||
\(690\) | 1.66555 | − | 68.8513i | 0.00241384 | − | 0.0997845i | ||||
\(691\) | 860.609 | + | 356.476i | 1.24545 | + | 0.515884i | 0.905415 | − | 0.424527i | \(-0.139560\pi\) |
0.340039 | + | 0.940411i | \(0.389560\pi\) | |||||||
\(692\) | 116.412 | + | 12.7947i | 0.168225 | + | 0.0184895i | ||||
\(693\) | −34.1439 | + | 82.4307i | −0.0492697 | + | 0.118948i | ||||
\(694\) | 1059.89 | − | 151.108i | 1.52723 | − | 0.217735i | ||||
\(695\) | −41.9063 | + | 67.0650i | −0.0602969 | + | 0.0964964i | ||||
\(696\) | −1606.80 | + | 51.6686i | −2.30862 | + | 0.0742365i | ||||
\(697\) | 511.334i | 0.733621i | ||||||||
\(698\) | −61.3820 | − | 430.542i | −0.0879398 | − | 0.616822i | ||||
\(699\) | −13.9669 | − | 33.7191i | −0.0199813 | − | 0.0482391i | ||||
\(700\) | −206.626 | + | 187.544i | −0.295180 | + | 0.267920i | ||||
\(701\) | 256.823 | − | 620.026i | 0.366367 | − | 0.884487i | −0.627973 | − | 0.778235i | \(-0.716115\pi\) |
0.994339 | − | 0.106252i | \(-0.0338850\pi\) | |||||||
\(702\) | 128.947 | + | 217.917i | 0.183685 | + | 0.310423i | ||||
\(703\) | −197.485 | − | 197.485i | −0.280917 | − | 0.280917i | ||||
\(704\) | 122.056 | + | 248.229i | 0.173374 | + | 0.352599i | ||||
\(705\) | 996.179 | − | 229.992i | 1.41302 | − | 0.326230i | ||||
\(706\) | 113.512 | − | 442.546i | 0.160781 | − | 0.626835i | ||||
\(707\) | 72.6175 | + | 175.314i | 0.102712 | + | 0.247969i | ||||
\(708\) | −1496.92 | + | 435.685i | −2.11430 | + | 0.615375i | ||||
\(709\) | −154.042 | − | 371.891i | −0.217267 | − | 0.524530i | 0.777239 | − | 0.629205i | \(-0.216620\pi\) |
−0.994506 | + | 0.104676i | \(0.966620\pi\) | |||||||
\(710\) | 738.032 | − | 284.994i | 1.03948 | − | 0.401400i | ||||
\(711\) | −544.248 | + | 544.248i | −0.765468 | + | 0.765468i | ||||
\(712\) | 145.136 | + | 136.093i | 0.203843 | + | 0.191142i | ||||
\(713\) | 38.0142i | 0.0533159i | ||||||||
\(714\) | 612.980 | − | 87.3919i | 0.858515 | − | 0.122398i | ||||
\(715\) | 69.5984 | − | 415.918i | 0.0973404 | − | 0.581704i | ||||
\(716\) | 848.708 | + | 1058.31i | 1.18535 | + | 1.47808i | ||||
\(717\) | −1524.09 | + | 631.297i | −2.12564 | + | 0.880470i | ||||
\(718\) | 201.097 | − | 784.012i | 0.280079 | − | 1.09194i | ||||
\(719\) | −301.362 | −0.419140 | −0.209570 | − | 0.977794i | \(-0.567206\pi\) | ||||
−0.209570 | + | 0.977794i | \(0.567206\pi\) | |||||||
\(720\) | −544.954 | + | 230.826i | −0.756881 | + | 0.320592i | ||||
\(721\) | 259.580i | 0.360028i | ||||||||
\(722\) | −37.7073 | + | 147.009i | −0.0522262 | + | 0.203613i | ||||
\(723\) | 210.926 | + | 509.220i | 0.291737 | + | 0.704316i | ||||
\(724\) | −753.375 | − | 82.8027i | −1.04057 | − | 0.114368i | ||||
\(725\) | 822.058 | − | 929.190i | 1.13387 | − | 1.28164i | ||||
\(726\) | 820.374 | − | 116.960i | 1.12999 | − | 0.161102i | ||||
\(727\) | −540.832 | −0.743924 | −0.371962 | − | 0.928248i | \(-0.621315\pi\) | ||||
−0.371962 | + | 0.928248i | \(0.621315\pi\) | |||||||
\(728\) | 396.894 | − | 179.553i | 0.545184 | − | 0.246639i | ||||
\(729\) | 318.518 | + | 318.518i | 0.436925 | + | 0.436925i | ||||
\(730\) | 178.403 | − | 402.861i | 0.244388 | − | 0.551864i | ||||
\(731\) | −661.438 | + | 273.977i | −0.904840 | + | 0.374797i | ||||
\(732\) | −361.220 | − | 198.354i | −0.493470 | − | 0.270975i | ||||
\(733\) | 287.495 | − | 119.084i | 0.392217 | − | 0.162462i | −0.177854 | − | 0.984057i | \(-0.556916\pi\) |
0.570071 | + | 0.821595i | \(0.306916\pi\) | |||||||
\(734\) | −53.5084 | + | 208.612i | −0.0728998 | + | 0.284213i | ||||
\(735\) | −442.187 | + | 707.656i | −0.601615 | + | 0.962797i | ||||
\(736\) | 48.5228 | + | 24.6494i | 0.0659277 | + | 0.0334910i | ||||
\(737\) | −62.7552 | + | 62.7552i | −0.0851495 | + | 0.0851495i | ||||
\(738\) | 140.622 | + | 237.647i | 0.190545 | + | 0.322015i | ||||
\(739\) | −359.673 | − | 148.982i | −0.486703 | − | 0.201599i | 0.125818 | − | 0.992053i | \(-0.459844\pi\) |
−0.612521 | + | 0.790454i | \(0.709844\pi\) | |||||||
\(740\) | 257.176 | + | 72.6368i | 0.347535 | + | 0.0981578i | ||||
\(741\) | 1525.92 | − | 632.056i | 2.05927 | − | 0.852977i | ||||
\(742\) | 4.40118 | + | 30.8705i | 0.00593151 | + | 0.0416045i | ||||
\(743\) | −56.8793 | −0.0765536 | −0.0382768 | − | 0.999267i | \(-0.512187\pi\) | ||||
−0.0382768 | + | 0.999267i | \(0.512187\pi\) | |||||||
\(744\) | 659.705 | − | 298.448i | 0.886701 | − | 0.401139i | ||||
\(745\) | −689.046 | + | 1102.72i | −0.924893 | + | 1.48016i | ||||
\(746\) | −421.101 | + | 60.0360i | −0.564479 | + | 0.0804772i | ||||
\(747\) | 925.096 | + | 383.187i | 1.23841 | + | 0.512968i | ||||
\(748\) | 296.334 | + | 369.517i | 0.396169 | + | 0.494007i | ||||
\(749\) | 34.5512 | − | 83.4140i | 0.0461298 | − | 0.111367i | ||||
\(750\) | 352.632 | − | 948.954i | 0.470175 | − | 1.26527i | ||||
\(751\) | − | 462.289i | − | 0.615564i | −0.951457 | − | 0.307782i | \(-0.900413\pi\) | ||
0.951457 | − | 0.307782i | \(-0.0995867\pi\) | |||||||
\(752\) | −175.477 | + | 788.639i | −0.233347 | + | 1.04872i | ||||
\(753\) | −657.556 | + | 657.556i | −0.873249 | + | 0.873249i | ||||
\(754\) | −1666.80 | + | 986.292i | −2.21062 | + | 1.30808i | ||||
\(755\) | −498.496 | − | 83.4166i | −0.660259 | − | 0.110486i | ||||
\(756\) | −56.4952 | + | 45.3063i | −0.0747291 | + | 0.0599290i | ||||
\(757\) | 1050.61 | + | 435.178i | 1.38786 | + | 0.574872i | 0.946572 | − | 0.322493i | \(-0.104521\pi\) |
0.441291 | + | 0.897364i | \(0.354521\pi\) | |||||||
\(758\) | −57.3479 | + | 76.4189i | −0.0756568 | + | 0.100816i | ||||
\(759\) | −21.0484 | + | 21.0484i | −0.0277317 | + | 0.0277317i | ||||
\(760\) | −214.165 | − | 808.175i | −0.281796 | − | 1.06339i | ||||
\(761\) | 35.6926 | − | 35.6926i | 0.0469022 | − | 0.0469022i | −0.683267 | − | 0.730169i | \(-0.739441\pi\) |
0.730169 | + | 0.683267i | \(0.239441\pi\) | |||||||
\(762\) | 762.440 | − | 108.700i | 1.00058 | − | 0.142651i | ||||
\(763\) | 421.377 | + | 174.540i | 0.552263 | + | 0.228755i | ||||
\(764\) | 301.993 | − | 549.956i | 0.395279 | − | 0.719838i | ||||
\(765\) | −825.035 | + | 588.499i | −1.07848 | + | 0.769280i | ||||
\(766\) | 35.5816 | − | 138.721i | 0.0464511 | − | 0.181098i | ||||
\(767\) | −1328.09 | + | 1328.09i | −1.73154 | + | 1.73154i | ||||
\(768\) | 46.8193 | − | 1035.59i | 0.0609626 | − | 1.34843i | ||||
\(769\) | 791.758i | 1.02959i | 0.857312 | + | 0.514797i | \(0.172133\pi\) | ||||
−0.857312 | + | 0.514797i | \(0.827867\pi\) | |||||||
\(770\) | 120.571 | + | 2.91668i | 0.156586 | + | 0.00378790i | ||||
\(771\) | 361.850 | − | 873.584i | 0.469326 | − | 1.13305i | ||||
\(772\) | −885.943 | + | 257.857i | −1.14760 | + | 0.334012i | ||||
\(773\) | −419.728 | − | 173.857i | −0.542986 | − | 0.224912i | 0.0942941 | − | 0.995544i | \(-0.469941\pi\) |
−0.637280 | + | 0.770632i | \(0.719941\pi\) | |||||||
\(774\) | −232.063 | + | 309.235i | −0.299823 | + | 0.399529i | ||||
\(775\) | −181.914 | + | 528.338i | −0.234728 | + | 0.681726i | ||||
\(776\) | −357.649 | + | 381.414i | −0.460888 | + | 0.491513i | ||||
\(777\) | −150.986 | −0.194319 | ||||||||
\(778\) | −402.651 | + | 536.552i | −0.517546 | + | 0.689656i | ||||
\(779\) | −360.402 | + | 149.283i | −0.462647 | + | 0.191635i | ||||
\(780\) | −978.880 | + | 1240.73i | −1.25497 | + | 1.59068i | ||||
\(781\) | −315.913 | − | 130.855i | −0.404497 | − | 0.167548i | ||||
\(782\) | 90.2727 | + | 23.1547i | 0.115438 | + | 0.0296096i | ||||
\(783\) | 227.666 | − | 227.666i | 0.290761 | − | 0.290761i | ||||
\(784\) | −353.872 | − | 556.417i | −0.451367 | − | 0.709715i | ||||
\(785\) | −907.101 | − | 566.813i | −1.15554 | − | 0.722054i | ||||
\(786\) | −961.175 | + | 568.753i | −1.22287 | + | 0.723604i | ||||
\(787\) | 566.037 | − | 234.460i | 0.719234 | − | 0.297916i | 0.00711435 | − | 0.999975i | \(-0.497735\pi\) |
0.712119 | + | 0.702058i | \(0.247735\pi\) | |||||||
\(788\) | −649.589 | − | 810.012i | −0.824351 | − | 1.02793i | ||||
\(789\) | −704.110 | + | 291.652i | −0.892408 | + | 0.369647i | ||||
\(790\) | 951.314 | + | 421.281i | 1.20419 | + | 0.533267i | ||||
\(791\) | −297.360 | − | 297.360i | −0.375929 | − | 0.375929i | ||||
\(792\) | 239.345 | + | 90.2415i | 0.302203 | + | 0.113941i | ||||
\(793\) | −496.464 | −0.626058 | ||||||||
\(794\) | 134.533 | + | 100.959i | 0.169437 | + | 0.127153i | ||||
\(795\) | −65.6942 | − | 92.0987i | −0.0826342 | − | 0.115847i | ||||
\(796\) | 421.160 | − | 122.580i | 0.529096 | − | 0.153995i | ||||
\(797\) | −5.24520 | − | 12.6630i | −0.00658117 | − | 0.0158884i | 0.920555 | − | 0.390613i | \(-0.127737\pi\) |
−0.927136 | + | 0.374725i | \(0.877737\pi\) | |||||||
\(798\) | 240.555 | + | 406.531i | 0.301447 | + | 0.509437i | ||||
\(799\) | 1383.46i | 1.73149i | ||||||||
\(800\) | 556.432 | + | 574.790i | 0.695540 | + | 0.718487i | ||||
\(801\) | 183.985 | 0.229694 | ||||||||
\(802\) | −542.744 | + | 321.156i | −0.676738 | + | 0.400444i | ||||
\(803\) | −175.934 | + | 72.8743i | −0.219096 | + | 0.0907525i | ||||
\(804\) | 319.349 | − | 92.9479i | 0.397200 | − | 0.115607i | ||||
\(805\) | 19.3187 | − | 13.7801i | 0.0239984 | − | 0.0171181i | ||||
\(806\) | 523.582 | − | 697.699i | 0.649606 | − | 0.865632i | ||||
\(807\) | − | 742.927i | − | 0.920603i | ||||||
\(808\) | 495.658 | − | 224.234i | 0.613438 | − | 0.277517i | ||||
\(809\) | 424.040 | − | 424.040i | 0.524154 | − | 0.524154i | −0.394669 | − | 0.918823i | \(-0.629141\pi\) |
0.918823 | + | 0.394669i | \(0.129141\pi\) | |||||||
\(810\) | 375.974 | − | 849.004i | 0.464165 | − | 1.04815i | ||||
\(811\) | 244.821 | + | 591.050i | 0.301875 | + | 0.728791i | 0.999919 | + | 0.0127362i | \(0.00405415\pi\) |
−0.698044 | + | 0.716055i | \(0.745946\pi\) | |||||||
\(812\) | −346.540 | − | 432.121i | −0.426773 | − | 0.532169i | ||||
\(813\) | 781.788 | + | 1887.40i | 0.961608 | + | 2.32153i | ||||
\(814\) | −58.8196 | − | 99.4033i | −0.0722599 | − | 0.122117i | ||||
\(815\) | 105.287 | − | 168.497i | 0.129187 | − | 0.206745i | ||||
\(816\) | −306.895 | − | 1748.39i | −0.376097 | − | 2.14264i | ||||
\(817\) | −386.212 | − | 386.212i | −0.472720 | − | 0.472720i | ||||
\(818\) | 324.865 | − | 1266.54i | 0.397146 | − | 1.54834i | ||||
\(819\) | 154.156 | − | 372.165i | 0.188224 | − | 0.454414i | ||||
\(820\) | 231.199 | − | 293.044i | 0.281950 | − | 0.357371i | ||||
\(821\) | −152.823 | − | 368.947i | −0.186142 | − | 0.449388i | 0.803068 | − | 0.595887i | \(-0.203199\pi\) |
−0.989211 | + | 0.146499i | \(0.953199\pi\) | |||||||
\(822\) | 1490.28 | + | 1118.37i | 1.81299 | + | 1.36055i | ||||
\(823\) | 726.914i | 0.883250i | 0.897200 | + | 0.441625i | \(0.145598\pi\) | ||||
−0.897200 | + | 0.441625i | \(0.854402\pi\) | |||||||
\(824\) | 743.807 | − | 23.9180i | 0.902678 | − | 0.0290267i | ||||
\(825\) | −393.265 | + | 191.814i | −0.476684 | + | 0.232501i | ||||
\(826\) | −429.644 | − | 322.422i | −0.520150 | − | 0.390342i | ||||
\(827\) | 599.224 | − | 1446.65i | 0.724575 | − | 1.74928i | 0.0646985 | − | 0.997905i | \(-0.479391\pi\) |
0.659877 | − | 0.751374i | \(-0.270609\pi\) | |||||||
\(828\) | 48.3228 | − | 14.0645i | 0.0583608 | − | 0.0169862i | ||||
\(829\) | −782.535 | − | 324.137i | −0.943951 | − | 0.390997i | −0.142997 | − | 0.989723i | \(-0.545674\pi\) |
−0.800954 | + | 0.598726i | \(0.795674\pi\) | |||||||
\(830\) | 32.7330 | − | 1353.14i | 0.0394374 | − | 1.63029i | ||||
\(831\) | −388.641 | −0.467679 | ||||||||
\(832\) | −551.066 | − | 1120.73i | −0.662339 | − | 1.34703i | ||||
\(833\) | −798.432 | − | 798.432i | −0.958502 | − | 0.958502i | ||||
\(834\) | −124.077 | − | 31.8254i | −0.148773 | − | 0.0381599i | ||||
\(835\) | 549.415 | + | 770.242i | 0.657982 | + | 0.922445i | ||||
\(836\) | −173.931 | + | 316.745i | −0.208052 | + | 0.378881i | ||||
\(837\) | −55.4944 | + | 133.975i | −0.0663016 | + | 0.160066i | ||||
\(838\) | −183.518 | − | 1287.22i | −0.218995 | − | 1.53606i | ||||
\(839\) | −485.825 | − | 485.825i | −0.579052 | − | 0.579052i | 0.355590 | − | 0.934642i | \(-0.384280\pi\) |
−0.934642 | + | 0.355590i | \(0.884280\pi\) | |||||||
\(840\) | −390.811 | − | 227.073i | −0.465252 | − | 0.270325i | ||||
\(841\) | 1146.70 | + | 1146.70i | 1.36349 | + | 1.36349i | ||||
\(842\) | 346.136 | + | 259.755i | 0.411088 | + | 0.308497i | ||||
\(843\) | −251.430 | + | 607.005i | −0.298256 | + | 0.720053i | ||||
\(844\) | −64.5258 | + | 51.7464i | −0.0764523 | + | 0.0613109i | ||||
\(845\) | −174.768 | + | 1044.41i | −0.206826 | + | 1.23598i | ||||
\(846\) | 380.466 | + | 642.975i | 0.449723 | + | 0.760018i | ||||
\(847\) | 201.893 | + | 201.893i | 0.238362 | + | 0.238362i | ||||
\(848\) | 88.0515 | − | 15.4557i | 0.103834 | − | 0.0182260i | ||||
\(849\) | −431.475 | −0.508216 | ||||||||
\(850\) | 1143.84 | + | 753.807i | 1.34570 | + | 0.886832i | ||||
\(851\) | −20.9956 | − | 8.69666i | −0.0246717 | − | 0.0102193i | ||||
\(852\) | 801.718 | + | 999.712i | 0.940984 | + | 1.17337i | ||||
\(853\) | −198.504 | + | 479.230i | −0.232713 | + | 0.561818i | −0.996495 | − | 0.0836564i | \(-0.973340\pi\) |
0.763782 | + | 0.645474i | \(0.223340\pi\) | |||||||
\(854\) | −20.0406 | − | 140.567i | −0.0234667 | − | 0.164599i | ||||
\(855\) | −655.658 | − | 409.695i | −0.766852 | − | 0.479176i | ||||
\(856\) | −242.200 | − | 91.3179i | −0.282944 | − | 0.106680i | ||||
\(857\) | 507.526i | 0.592213i | 0.955155 | + | 0.296106i | \(0.0956883\pi\) | ||||
−0.955155 | + | 0.296106i | \(0.904312\pi\) | |||||||
\(858\) | 676.220 | − | 96.4081i | 0.788135 | − | 0.112364i | ||||
\(859\) | 290.078 | + | 700.309i | 0.337692 | + | 0.815261i | 0.997936 | + | 0.0642102i | \(0.0204528\pi\) |
−0.660244 | + | 0.751051i | \(0.729547\pi\) | |||||||
\(860\) | 502.947 | + | 142.052i | 0.584822 | + | 0.165177i | ||||
\(861\) | −80.7046 | + | 194.838i | −0.0937336 | + | 0.226293i | ||||
\(862\) | 1241.70 | − | 734.745i | 1.44048 | − | 0.852372i | ||||
\(863\) | 216.868 | + | 216.868i | 0.251295 | + | 0.251295i | 0.821501 | − | 0.570206i | \(-0.193137\pi\) |
−0.570206 | + | 0.821501i | \(0.693137\pi\) | |||||||
\(864\) | 135.027 | + | 157.708i | 0.156282 | + | 0.182533i | ||||
\(865\) | −124.147 | − | 77.5749i | −0.143523 | − | 0.0896819i | ||||
\(866\) | −811.515 | − | 208.151i | −0.937084 | − | 0.240360i | ||||
\(867\) | −715.377 | − | 1727.07i | −0.825118 | − | 1.99201i | ||||
\(868\) | 218.680 | + | 120.082i | 0.251935 | + | 0.138343i | ||||
\(869\) | −172.085 | − | 415.450i | −0.198026 | − | 0.478078i | ||||
\(870\) | 1837.43 | + | 813.691i | 2.11199 | + | 0.935277i | ||||
\(871\) | 283.332 | − | 283.332i | 0.325295 | − | 0.325295i | ||||
\(872\) | 461.304 | − | 1223.50i | 0.529019 | − | 1.40310i | ||||
\(873\) | 483.508i | 0.553847i | ||||||||
\(874\) | 10.0350 | + | 70.3866i | 0.0114816 | + | 0.0805339i | ||||
\(875\) | 334.443 | − | 99.0727i | 0.382220 | − | 0.113226i | ||||
\(876\) | 709.391 | + | 77.9684i | 0.809807 | + | 0.0890051i | ||||
\(877\) | −755.498 | + | 312.937i | −0.861457 | + | 0.356827i | −0.769277 | − | 0.638915i | \(-0.779383\pi\) |
−0.0921799 | + | 0.995742i | \(0.529383\pi\) | |||||||
\(878\) | −827.454 | − | 212.240i | −0.942430 | − | 0.241731i | ||||
\(879\) | −374.995 | −0.426615 | ||||||||
\(880\) | −2.75206 | − | 345.757i | −0.00312734 | − | 0.392905i | ||||
\(881\) | − | 424.574i | − | 0.481922i | −0.970535 | − | 0.240961i | \(-0.922537\pi\) | ||
0.970535 | − | 0.240961i | \(-0.0774626\pi\) | |||||||
\(882\) | −590.655 | − | 151.501i | −0.669677 | − | 0.171770i | ||||
\(883\) | −523.997 | − | 1265.04i | −0.593428 | − | 1.43266i | −0.880172 | − | 0.474655i | \(-0.842573\pi\) |
0.286744 | − | 0.958007i | \(-0.407427\pi\) | |||||||
\(884\) | −1337.91 | − | 1668.33i | −1.51348 | − | 1.88725i | ||||
\(885\) | 1922.07 | + | 321.633i | 2.17183 | + | 0.363427i | ||||
\(886\) | −216.378 | − | 1517.71i | −0.244219 | − | 1.71299i | ||||
\(887\) | 364.526 | 0.410965 | 0.205483 | − | 0.978661i | \(-0.434124\pi\) | ||||
0.205483 | + | 0.978661i | \(0.434124\pi\) | |||||||
\(888\) | 13.9120 | + | 432.638i | 0.0156667 | + | 0.487205i | ||||
\(889\) | 187.635 | + | 187.635i | 0.211063 | + | 0.211063i | ||||
\(890\) | −89.5897 | − | 232.005i | −0.100663 | − | 0.260680i | ||||
\(891\) | −370.770 | + | 153.578i | −0.416128 | + | 0.172366i | ||||
\(892\) | 1175.17 | − | 342.038i | 1.31746 | − | 0.383451i | ||||
\(893\) | −975.101 | + | 403.900i | −1.09194 | + | 0.452296i | ||||
\(894\) | −2040.14 | − | 523.289i | −2.28203 | − | 0.585335i | ||||
\(895\) | −381.466 | − | 1652.27i | −0.426219 | − | 1.84611i | ||||
\(896\) | 295.075 | − | 201.267i | 0.329324 | − | 0.224629i | ||||
\(897\) | 95.0309 | − | 95.0309i | 0.105943 | − | 0.105943i | ||||
\(898\) | −517.229 | + | 306.058i | −0.575979 | + | 0.340822i | ||||
\(899\) | −1024.75 | − | 424.466i | −1.13988 | − | 0.472154i | ||||
\(900\) | 738.915 | + | 35.7703i | 0.821016 | + | 0.0397448i | ||||
\(901\) | 141.429 | − | 58.5817i | 0.156969 | − | 0.0650185i | ||||
\(902\) | −159.714 | + | 22.7703i | −0.177067 | + | 0.0252443i | ||||
\(903\) | −295.276 | −0.326994 | ||||||||
\(904\) | −824.662 | + | 879.460i | −0.912237 | + | 0.972854i | ||||
\(905\) | 803.435 | + | 502.036i | 0.887774 | + | 0.554735i | ||||
\(906\) | −115.549 | − | 810.479i | −0.127538 | − | 0.894568i | ||||
\(907\) | −157.877 | − | 65.3948i | −0.174065 | − | 0.0721001i | 0.293949 | − | 0.955821i | \(-0.405030\pi\) |
−0.468014 | + | 0.883721i | \(0.655030\pi\) | |||||||
\(908\) | −306.800 | − | 33.7200i | −0.337885 | − | 0.0371366i | ||||
\(909\) | 192.516 | − | 464.775i | 0.211789 | − | 0.511304i | ||||
\(910\) | −544.365 | − | 13.1685i | −0.598203 | − | 0.0144708i | ||||
\(911\) | − | 910.577i | − | 0.999535i | −0.866159 | − | 0.499768i | \(-0.833419\pi\) | ||
0.866159 | − | 0.499768i | \(-0.166581\pi\) | |||||||
\(912\) | 1142.72 | − | 726.750i | 1.25298 | − | 0.796875i | ||||
\(913\) | −413.664 | + | 413.664i | −0.453083 | + | 0.453083i | ||||
\(914\) | −694.448 | − | 1173.60i | −0.759790 | − | 1.28402i | ||||
\(915\) | 299.135 | + | 419.367i | 0.326924 | + | 0.458325i | ||||
\(916\) | −221.980 | − | 24.3976i | −0.242336 | − | 0.0266349i | ||||
\(917\) | −355.518 | − | 147.260i | −0.387697 | − | 0.160589i | ||||
\(918\) | 284.350 | + | 213.388i | 0.309750 | + | 0.232449i | ||||
\(919\) | −508.199 | + | 508.199i | −0.552991 | + | 0.552991i | −0.927303 | − | 0.374312i | \(-0.877879\pi\) |
0.374312 | + | 0.927303i | \(0.377879\pi\) | |||||||
\(920\) | −41.2657 | − | 54.0865i | −0.0448541 | − | 0.0587897i | ||||
\(921\) | −665.448 | + | 665.448i | −0.722527 | + | 0.722527i | ||||
\(922\) | 52.2477 | + | 366.473i | 0.0566678 | + | 0.397476i | ||||
\(923\) | 1426.31 | + | 590.795i | 1.54529 | + | 0.640082i | ||||
\(924\) | 54.5935 | + | 187.571i | 0.0590838 | + | 0.202999i | ||||
\(925\) | −250.188 | − | 221.343i | −0.270474 | − | 0.239289i | ||||
\(926\) | 738.240 | + | 189.357i | 0.797235 | + | 0.204489i | ||||
\(927\) | 486.611 | − | 486.611i | 0.524931 | − | 0.524931i | ||||
\(928\) | −1206.28 | + | 1032.80i | −1.29987 | + | 1.11293i | ||||
\(929\) | 387.105i | 0.416690i | 0.978055 | + | 0.208345i | \(0.0668076\pi\) | ||||
−0.978055 | + | 0.208345i | \(0.933192\pi\) | |||||||
\(930\) | −904.827 | − | 21.8882i | −0.972932 | − | 0.0235357i | ||||
\(931\) | 329.655 | − | 795.858i | 0.354087 | − | 0.854842i | ||||
\(932\) | −31.6010 | − | 17.3528i | −0.0339066 | − | 0.0186189i | ||||
\(933\) | −484.571 | − | 200.716i | −0.519369 | − | 0.215129i | ||||
\(934\) | 380.731 | + | 285.717i | 0.407635 | + | 0.305906i | ||||
\(935\) | −133.192 | − | 576.904i | −0.142452 | − | 0.617009i | ||||
\(936\) | −1080.61 | − | 407.429i | −1.15450 | − | 0.435288i | ||||
\(937\) | −971.137 | −1.03643 | −0.518216 | − | 0.855250i | \(-0.673404\pi\) | ||||
−0.518216 | + | 0.855250i | \(0.673404\pi\) | |||||||
\(938\) | 91.6590 | + | 68.7847i | 0.0977175 | + | 0.0733313i | ||||
\(939\) | 1082.81 | − | 448.516i | 1.15316 | − | 0.477653i | ||||
\(940\) | 625.529 | − | 792.859i | 0.665456 | − | 0.843467i | ||||
\(941\) | −1192.52 | − | 493.958i | −1.26729 | − | 0.524929i | −0.355151 | − | 0.934809i | \(-0.615570\pi\) |
−0.912139 | + | 0.409880i | \(0.865570\pi\) | |||||||
\(942\) | 430.461 | − | 1678.23i | 0.456964 | − | 1.78156i | ||||
\(943\) | −22.4450 | + | 22.4450i | −0.0238017 | + | 0.0238017i | ||||
\(944\) | −884.289 | + | 1260.82i | −0.936746 | + | 1.33561i | ||||
\(945\) | 88.2024 | − | 20.3637i | 0.0933358 | − | 0.0215488i | ||||
\(946\) | −115.031 | − | 194.399i | −0.121597 | − | 0.205495i | ||||
\(947\) | 717.493 | − | 297.195i | 0.757648 | − | 0.313828i | 0.0297902 | − | 0.999556i | \(-0.490516\pi\) |
0.727858 | + | 0.685728i | \(0.240516\pi\) | |||||||
\(948\) | −184.114 | + | 1675.15i | −0.194213 | + | 1.76704i | ||||
\(949\) | 794.321 | − | 329.018i | 0.837008 | − | 0.346700i | ||||
\(950\) | −197.360 | + | 1026.28i | −0.207747 | + | 1.08030i | ||||
\(951\) | 978.550 | + | 978.550i | 1.02897 | + | 1.02897i | ||||
\(952\) | 418.358 | − | 446.158i | 0.439452 | − | 0.468653i | ||||
\(953\) | −514.933 | −0.540329 | −0.270164 | − | 0.962814i | \(-0.587078\pi\) | ||||
−0.270164 | + | 0.962814i | \(0.587078\pi\) | |||||||
\(954\) | 49.6196 | − | 66.1206i | 0.0520122 | − | 0.0693088i | ||||
\(955\) | −638.484 | + | 455.432i | −0.668570 | + | 0.476892i | ||||
\(956\) | −784.336 | + | 1428.35i | −0.820435 | + | 1.49409i | ||||
\(957\) | −332.377 | − | 802.428i | −0.347311 | − | 0.838483i | ||||
\(958\) | −428.255 | + | 253.410i | −0.447030 | + | 0.264519i | ||||
\(959\) | 641.984i | 0.669431i | ||||||||
\(960\) | −614.651 | + | 1140.76i | −0.640261 | + | 1.18829i | ||||
\(961\) | −461.426 | −0.480152 | ||||||||
\(962\) | 265.563 | + | 448.794i | 0.276053 | + | 0.466522i | ||||
\(963\) | −221.138 | + | 91.5986i | −0.229635 | + | 0.0951179i | ||||
\(964\) | 477.232 | + | 262.059i | 0.495054 | + | 0.271845i | ||||
\(965\) | 1137.57 | + | 190.356i | 1.17882 | + | 0.197261i | ||||
\(966\) | 30.7429 | + | 23.0707i | 0.0318249 | + | 0.0238827i | ||||
\(967\) | − | 20.2370i | − | 0.0209276i | −0.999945 | − | 0.0104638i | \(-0.996669\pi\) | ||
0.999945 | − | 0.0104638i | \(-0.00333079\pi\) | |||||||
\(968\) | 559.905 | − | 597.110i | 0.578414 | − | 0.616849i | ||||
\(969\) | 1639.75 | − | 1639.75i | 1.69220 | − | 1.69220i | ||||
\(970\) | 609.705 | − | 235.440i | 0.628561 | − | 0.242721i | ||||
\(971\) | −408.318 | − | 985.767i | −0.420513 | − | 1.01521i | −0.982197 | − | 0.187856i | \(-0.939846\pi\) |
0.561684 | − | 0.827352i | \(-0.310154\pi\) | |||||||
\(972\) | 1262.83 | + | 138.796i | 1.29920 | + | 0.142794i | ||||
\(973\) | −16.8897 | − | 40.7752i | −0.0173583 | − | 0.0419067i | ||||
\(974\) | −911.786 | + | 539.528i | −0.936125 | + | 0.553930i | ||||
\(975\) | 1775.54 | − | 866.015i | 1.82107 | − | 0.888220i | ||||
\(976\) | −400.938 | + | 70.3767i | −0.410798 | + | 0.0721073i | ||||
\(977\) | 545.260 | + | 545.260i | 0.558096 | + | 0.558096i | 0.928765 | − | 0.370669i | \(-0.120872\pi\) |
−0.370669 | + | 0.928765i | \(0.620872\pi\) | |||||||
\(978\) | 311.736 | + | 79.9593i | 0.318748 | + | 0.0817580i | ||||
\(979\) | −41.1352 | + | 99.3091i | −0.0420176 | + | 0.101439i | ||||
\(980\) | 96.5704 | + | 818.589i | 0.0985412 | + | 0.835295i | ||||
\(981\) | −462.722 | − | 1117.11i | −0.471684 | − | 1.13875i | ||||
\(982\) | −269.717 | + | 359.411i | −0.274661 | + | 0.365999i | ||||
\(983\) | − | 1020.09i | − | 1.03773i | −0.854857 | − | 0.518864i | \(-0.826355\pi\) | ||
0.854857 | − | 0.518864i | \(-0.173645\pi\) | |||||||
\(984\) | 565.730 | + | 213.300i | 0.574929 | + | 0.216768i | ||||
\(985\) | 291.968 | + | 1264.62i | 0.296414 | + | 1.28388i | ||||
\(986\) | −1632.17 | + | 2174.94i | −1.65534 | + | 2.20582i | ||||
\(987\) | −218.354 | + | 527.153i | −0.221230 | + | 0.534096i | ||||
\(988\) | 785.279 | − | 1430.06i | 0.794817 | − | 1.44743i | ||||
\(989\) | −41.0601 | − | 17.0077i | −0.0415168 | − | 0.0171968i | ||||
\(990\) | −220.557 | − | 231.492i | −0.222784 | − | 0.233830i | ||||
\(991\) | 261.091 | 0.263462 | 0.131731 | − | 0.991285i | \(-0.457946\pi\) | ||||
0.131731 | + | 0.991285i | \(0.457946\pi\) | |||||||
\(992\) | 323.936 | − | 637.675i | 0.326548 | − | 0.642817i | ||||
\(993\) | 1345.19 | + | 1345.19i | 1.35467 | + | 1.35467i | ||||
\(994\) | −109.701 | + | 427.689i | −0.110363 | + | 0.430271i | ||||
\(995\) | −540.776 | − | 90.4917i | −0.543494 | − | 0.0909464i | ||||
\(996\) | 2105.06 | − | 612.686i | 2.11351 | − | 0.615147i | ||||
\(997\) | 116.177 | − | 280.476i | 0.116527 | − | 0.281320i | −0.854846 | − | 0.518882i | \(-0.826348\pi\) |
0.971372 | + | 0.237562i | \(0.0763483\pi\) | |||||||
\(998\) | 791.550 | − | 112.851i | 0.793136 | − | 0.113077i | ||||
\(999\) | −61.3001 | − | 61.3001i | −0.0613614 | − | 0.0613614i |
(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 | 160.3.v.a.13.15 | ✓ | 184 | |
5.2 | odd | 4 | 160.3.bb.a.77.39 | yes | 184 | ||
32.5 | even | 8 | 160.3.bb.a.133.39 | yes | 184 | ||
160.37 | odd | 8 | inner | 160.3.v.a.37.15 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.3.v.a.13.15 | ✓ | 184 | 1.1 | even | 1 | trivial | |
160.3.v.a.37.15 | yes | 184 | 160.37 | odd | 8 | inner | |
160.3.bb.a.77.39 | yes | 184 | 5.2 | odd | 4 | ||
160.3.bb.a.133.39 | yes | 184 | 32.5 | even | 8 |