Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(26,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.26");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.9 | ||
Character | \(\chi\) | \(=\) | 105.26 |
Dual form | 105.4.s.a.101.9 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.155491 | + | 0.0897728i | 0.0549744 | + | 0.0317395i | 0.527235 | − | 0.849719i | \(-0.323229\pi\) |
−0.472261 | + | 0.881459i | \(0.656562\pi\) | |||||||
\(3\) | 5.17065 | + | 0.514148i | 0.995093 | + | 0.0989478i | ||||
\(4\) | −3.98388 | − | 6.90029i | −0.497985 | − | 0.862536i | ||||
\(5\) | −2.50000 | + | 4.33013i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0.757834 | + | 0.544130i | 0.0515641 | + | 0.0370233i | ||||
\(7\) | 18.1774 | + | 3.54688i | 0.981490 | + | 0.191514i | ||||
\(8\) | − | 2.86694i | − | 0.126702i | ||||||
\(9\) | 26.4713 | + | 5.31696i | 0.980419 | + | 0.196924i | ||||
\(10\) | −0.777456 | + | 0.448864i | −0.0245853 | + | 0.0141943i | ||||
\(11\) | 42.8268 | − | 24.7261i | 1.17389 | − | 0.677745i | 0.219296 | − | 0.975658i | \(-0.429624\pi\) |
0.954593 | + | 0.297914i | \(0.0962907\pi\) | |||||||
\(12\) | −17.0515 | − | 37.7273i | −0.410195 | − | 0.907577i | ||||
\(13\) | − | 62.5979i | − | 1.33550i | −0.744385 | − | 0.667751i | \(-0.767257\pi\) | ||
0.744385 | − | 0.667751i | \(-0.232743\pi\) | |||||||
\(14\) | 2.50802 | + | 2.18335i | 0.0478783 | + | 0.0416803i | ||||
\(15\) | −15.1530 | + | 21.1042i | −0.260832 | + | 0.363272i | ||||
\(16\) | −31.6137 | + | 54.7565i | −0.493964 | + | 0.855570i | ||||
\(17\) | 19.4432 | + | 33.6766i | 0.277392 | + | 0.480457i | 0.970736 | − | 0.240150i | \(-0.0771966\pi\) |
−0.693344 | + | 0.720607i | \(0.743863\pi\) | |||||||
\(18\) | 3.63873 | + | 3.20314i | 0.0476477 | + | 0.0419438i | ||||
\(19\) | 14.1784 | + | 8.18591i | 0.171197 | + | 0.0988408i | 0.583150 | − | 0.812364i | \(-0.301820\pi\) |
−0.411953 | + | 0.911205i | \(0.635153\pi\) | |||||||
\(20\) | 39.8388 | 0.445412 | ||||||||
\(21\) | 92.1657 | + | 27.6856i | 0.957724 | + | 0.287690i | ||||
\(22\) | 8.87892 | 0.0860451 | ||||||||
\(23\) | −125.793 | − | 72.6264i | −1.14042 | − | 0.658420i | −0.193883 | − | 0.981025i | \(-0.562108\pi\) |
−0.946534 | + | 0.322605i | \(0.895442\pi\) | |||||||
\(24\) | 1.47403 | − | 14.8240i | 0.0125369 | − | 0.126080i | ||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | 5.61959 | − | 9.73341i | 0.0423882 | − | 0.0734184i | ||||
\(27\) | 134.140 | + | 41.1023i | 0.956122 | + | 0.292968i | ||||
\(28\) | −47.9423 | − | 139.560i | −0.323580 | − | 0.941941i | ||||
\(29\) | 246.319i | 1.57725i | 0.614872 | + | 0.788627i | \(0.289208\pi\) | ||||
−0.614872 | + | 0.788627i | \(0.710792\pi\) | |||||||
\(30\) | −4.25074 | + | 1.92119i | −0.0258692 | + | 0.0116920i | ||||
\(31\) | 128.320 | − | 74.0854i | 0.743449 | − | 0.429230i | −0.0798733 | − | 0.996805i | \(-0.525452\pi\) |
0.823322 | + | 0.567575i | \(0.192118\pi\) | |||||||
\(32\) | −29.6941 | + | 17.1439i | −0.164038 | + | 0.0947074i | ||||
\(33\) | 234.156 | − | 105.831i | 1.23519 | − | 0.558265i | ||||
\(34\) | 6.98188i | 0.0352171i | ||||||||
\(35\) | −60.8021 | + | 69.8435i | −0.293641 | + | 0.337306i | ||||
\(36\) | −68.7700 | − | 203.842i | −0.318380 | − | 0.943712i | ||||
\(37\) | −174.170 | + | 301.671i | −0.773875 | + | 1.34039i | 0.161549 | + | 0.986865i | \(0.448351\pi\) |
−0.935424 | + | 0.353527i | \(0.884982\pi\) | |||||||
\(38\) | 1.46974 | + | 2.54567i | 0.00627432 | + | 0.0108674i | ||||
\(39\) | 32.1845 | − | 323.672i | 0.132145 | − | 1.32895i | ||||
\(40\) | 12.4142 | + | 7.16736i | 0.0490715 | + | 0.0283315i | ||||
\(41\) | −429.026 | −1.63421 | −0.817106 | − | 0.576488i | \(-0.804423\pi\) | ||||
−0.817106 | + | 0.576488i | \(0.804423\pi\) | |||||||
\(42\) | 11.8455 | + | 12.5788i | 0.0435192 | + | 0.0462132i | ||||
\(43\) | 73.5626 | 0.260888 | 0.130444 | − | 0.991456i | \(-0.458360\pi\) | ||||
0.130444 | + | 0.991456i | \(0.458360\pi\) | |||||||
\(44\) | −341.234 | − | 197.012i | −1.16916 | − | 0.675014i | ||||
\(45\) | −89.2014 | + | 101.332i | −0.295497 | + | 0.335681i | ||||
\(46\) | −13.0398 | − | 22.5855i | −0.0417958 | − | 0.0723925i | ||||
\(47\) | −124.129 | + | 214.998i | −0.385236 | + | 0.667249i | −0.991802 | − | 0.127785i | \(-0.959213\pi\) |
0.606566 | + | 0.795033i | \(0.292547\pi\) | |||||||
\(48\) | −191.616 | + | 266.873i | −0.576196 | + | 0.802495i | ||||
\(49\) | 317.839 | + | 128.946i | 0.926645 | + | 0.375937i | ||||
\(50\) | − | 4.48864i | − | 0.0126958i | ||||||
\(51\) | 83.2192 | + | 184.127i | 0.228491 | + | 0.505547i | ||||
\(52\) | −431.943 | + | 249.382i | −1.15192 | + | 0.665060i | ||||
\(53\) | −263.502 | + | 152.133i | −0.682919 | + | 0.394284i | −0.800954 | − | 0.598726i | \(-0.795674\pi\) |
0.118035 | + | 0.993009i | \(0.462341\pi\) | |||||||
\(54\) | 17.1677 | + | 18.4332i | 0.0432636 | + | 0.0464526i | ||||
\(55\) | 247.261i | 0.606193i | ||||||||
\(56\) | 10.1687 | − | 52.1137i | 0.0242652 | − | 0.124357i | ||||
\(57\) | 69.1029 | + | 49.6163i | 0.160577 | + | 0.115295i | ||||
\(58\) | −22.1128 | + | 38.3005i | −0.0500612 | + | 0.0867086i | ||||
\(59\) | −336.226 | − | 582.361i | −0.741914 | − | 1.28503i | −0.951623 | − | 0.307269i | \(-0.900585\pi\) |
0.209708 | − | 0.977764i | \(-0.432749\pi\) | |||||||
\(60\) | 205.993 | + | 20.4830i | 0.443226 | + | 0.0440725i | ||||
\(61\) | −279.413 | − | 161.319i | −0.586478 | − | 0.338603i | 0.177226 | − | 0.984170i | \(-0.443288\pi\) |
−0.763704 | + | 0.645567i | \(0.776621\pi\) | |||||||
\(62\) | 26.6034 | 0.0544942 | ||||||||
\(63\) | 462.322 | + | 190.539i | 0.924557 | + | 0.381043i | ||||
\(64\) | 499.663 | 0.975904 | ||||||||
\(65\) | 271.057 | + | 156.495i | 0.517238 | + | 0.298627i | ||||
\(66\) | 45.9098 | + | 4.56508i | 0.0856229 | + | 0.00851397i | ||||
\(67\) | −103.542 | − | 179.340i | −0.188801 | − | 0.327013i | 0.756050 | − | 0.654514i | \(-0.227127\pi\) |
−0.944851 | + | 0.327501i | \(0.893793\pi\) | |||||||
\(68\) | 154.919 | − | 268.327i | 0.276274 | − | 0.478521i | ||||
\(69\) | −613.089 | − | 440.202i | −1.06967 | − | 0.768030i | ||||
\(70\) | −15.7242 | + | 5.40166i | −0.0268486 | + | 0.00922318i | ||||
\(71\) | 717.843i | 1.19989i | 0.800041 | + | 0.599945i | \(0.204811\pi\) | ||||
−0.800041 | + | 0.599945i | \(0.795189\pi\) | |||||||
\(72\) | 15.2434 | − | 75.8917i | 0.0249507 | − | 0.124221i | ||||
\(73\) | 84.3846 | − | 48.7195i | 0.135294 | − | 0.0781121i | −0.430825 | − | 0.902435i | \(-0.641777\pi\) |
0.566119 | + | 0.824323i | \(0.308444\pi\) | |||||||
\(74\) | −54.1638 | + | 31.2715i | −0.0850867 | + | 0.0491248i | ||||
\(75\) | −53.5015 | − | 118.375i | −0.0823710 | − | 0.182250i | ||||
\(76\) | − | 130.447i | − | 0.196885i | ||||||
\(77\) | 866.183 | − | 297.555i | 1.28196 | − | 0.440384i | ||||
\(78\) | 34.0614 | − | 47.4388i | 0.0494447 | − | 0.0688639i | ||||
\(79\) | 450.009 | − | 779.438i | 0.640885 | − | 1.11005i | −0.344350 | − | 0.938841i | \(-0.611901\pi\) |
0.985236 | − | 0.171205i | \(-0.0547659\pi\) | |||||||
\(80\) | −158.068 | − | 273.782i | −0.220907 | − | 0.382623i | ||||
\(81\) | 672.460 | + | 281.494i | 0.922442 | + | 0.386137i | ||||
\(82\) | −66.7098 | − | 38.5149i | −0.0898398 | − | 0.0518691i | ||||
\(83\) | 90.9926 | 0.120334 | 0.0601671 | − | 0.998188i | \(-0.480837\pi\) | ||||
0.0601671 | + | 0.998188i | \(0.480837\pi\) | |||||||
\(84\) | −176.139 | − | 746.265i | −0.228789 | − | 0.969336i | ||||
\(85\) | −194.432 | −0.248107 | ||||||||
\(86\) | 11.4383 | + | 6.60392i | 0.0143422 | + | 0.00828046i | ||||
\(87\) | −126.645 | + | 1273.63i | −0.156066 | + | 1.56951i | ||||
\(88\) | −70.8883 | − | 122.782i | −0.0858717 | − | 0.148734i | ||||
\(89\) | 328.502 | − | 568.983i | 0.391249 | − | 0.677663i | −0.601366 | − | 0.798974i | \(-0.705376\pi\) |
0.992615 | + | 0.121311i | \(0.0387098\pi\) | |||||||
\(90\) | −22.9669 | + | 7.74832i | −0.0268991 | + | 0.00907494i | ||||
\(91\) | 222.027 | − | 1137.87i | 0.255767 | − | 1.31078i | ||||
\(92\) | 1157.34i | 1.31153i | ||||||||
\(93\) | 701.588 | − | 317.095i | 0.782272 | − | 0.353561i | ||||
\(94\) | −38.6020 | + | 22.2869i | −0.0423563 | + | 0.0244544i | ||||
\(95\) | −70.8920 | + | 40.9295i | −0.0765618 | + | 0.0442030i | ||||
\(96\) | −162.352 | + | 73.3779i | −0.172604 | + | 0.0780114i | ||||
\(97\) | 1465.01i | 1.53350i | 0.641944 | + | 0.766751i | \(0.278128\pi\) | ||||
−0.641944 | + | 0.766751i | \(0.721872\pi\) | |||||||
\(98\) | 37.8453 | + | 48.5834i | 0.0390097 | + | 0.0500782i | ||||
\(99\) | 1265.15 | − | 426.823i | 1.28437 | − | 0.433306i | ||||
\(100\) | −99.5970 | + | 172.507i | −0.0995970 | + | 0.172507i | ||||
\(101\) | −104.142 | − | 180.380i | −0.102600 | − | 0.177708i | 0.810155 | − | 0.586215i | \(-0.199383\pi\) |
−0.912755 | + | 0.408508i | \(0.866049\pi\) | |||||||
\(102\) | −3.58972 | + | 36.1009i | −0.00348466 | + | 0.0350443i | ||||
\(103\) | −523.755 | − | 302.390i | −0.501040 | − | 0.289276i | 0.228103 | − | 0.973637i | \(-0.426748\pi\) |
−0.729143 | + | 0.684361i | \(0.760081\pi\) | |||||||
\(104\) | −179.465 | −0.169211 | ||||||||
\(105\) | −350.296 | + | 329.875i | −0.325575 | + | 0.306595i | ||||
\(106\) | −54.6296 | −0.0500575 | ||||||||
\(107\) | 261.396 | + | 150.917i | 0.236169 | + | 0.136352i | 0.613415 | − | 0.789761i | \(-0.289795\pi\) |
−0.377246 | + | 0.926113i | \(0.623129\pi\) | |||||||
\(108\) | −250.781 | − | 1089.35i | −0.223439 | − | 0.970583i | ||||
\(109\) | 131.315 | + | 227.445i | 0.115392 | + | 0.199865i | 0.917936 | − | 0.396728i | \(-0.129854\pi\) |
−0.802544 | + | 0.596592i | \(0.796521\pi\) | |||||||
\(110\) | −22.1973 | + | 38.4469i | −0.0192403 | + | 0.0333251i | ||||
\(111\) | −1055.68 | + | 1470.29i | −0.902706 | + | 1.25724i | ||||
\(112\) | −768.871 | + | 883.204i | −0.648674 | + | 0.745133i | ||||
\(113\) | 1023.70i | 0.852224i | 0.904670 | + | 0.426112i | \(0.140117\pi\) | ||||
−0.904670 | + | 0.426112i | \(0.859883\pi\) | |||||||
\(114\) | 6.29069 | + | 13.9185i | 0.00516822 | + | 0.0114349i | ||||
\(115\) | 628.963 | − | 363.132i | 0.510010 | − | 0.294454i | ||||
\(116\) | 1699.67 | − | 981.307i | 1.36044 | − | 0.785449i | ||||
\(117\) | 332.830 | − | 1657.05i | 0.262993 | − | 1.30935i | ||||
\(118\) | − | 120.736i | − | 0.0941919i | ||||||
\(119\) | 233.981 | + | 681.117i | 0.180243 | + | 0.524688i | ||||
\(120\) | 60.5046 | + | 43.4427i | 0.0460274 | + | 0.0330480i | ||||
\(121\) | 557.258 | − | 965.199i | 0.418676 | − | 0.725168i | ||||
\(122\) | −28.9642 | − | 50.1674i | −0.0214942 | − | 0.0372290i | ||||
\(123\) | −2218.35 | − | 220.583i | −1.62619 | − | 0.161702i | ||||
\(124\) | −1022.42 | − | 590.295i | −0.740453 | − | 0.427501i | ||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | 54.7817 | + | 71.1311i | 0.0387329 | + | 0.0502926i | ||||
\(127\) | 910.225 | 0.635979 | 0.317990 | − | 0.948094i | \(-0.396992\pi\) | ||||
0.317990 | + | 0.948094i | \(0.396992\pi\) | |||||||
\(128\) | 315.246 | + | 182.007i | 0.217688 | + | 0.125682i | ||||
\(129\) | 380.367 | + | 37.8220i | 0.259608 | + | 0.0258143i | ||||
\(130\) | 28.0979 | + | 48.6671i | 0.0189566 | + | 0.0328337i | ||||
\(131\) | 326.214 | − | 565.020i | 0.217569 | − | 0.376840i | −0.736496 | − | 0.676442i | \(-0.763521\pi\) |
0.954064 | + | 0.299603i | \(0.0968541\pi\) | |||||||
\(132\) | −1663.11 | − | 1194.12i | −1.09663 | − | 0.787387i | ||||
\(133\) | 228.693 | + | 199.088i | 0.149099 | + | 0.129798i | ||||
\(134\) | − | 37.1810i | − | 0.0239698i | ||||||
\(135\) | −513.329 | + | 478.088i | −0.327262 | + | 0.304795i | ||||
\(136\) | 96.5488 | − | 55.7425i | 0.0608750 | − | 0.0351462i | ||||
\(137\) | 941.719 | − | 543.702i | 0.587273 | − | 0.339062i | −0.176745 | − | 0.984257i | \(-0.556557\pi\) |
0.764019 | + | 0.645194i | \(0.223224\pi\) | |||||||
\(138\) | −55.8118 | − | 123.486i | −0.0344276 | − | 0.0761728i | ||||
\(139\) | 1430.27i | 0.872759i | 0.899763 | + | 0.436380i | \(0.143739\pi\) | ||||
−0.899763 | + | 0.436380i | \(0.856261\pi\) | |||||||
\(140\) | 724.168 | + | 141.304i | 0.437167 | + | 0.0853023i | ||||
\(141\) | −752.370 | + | 1047.86i | −0.449368 | + | 0.625856i | ||||
\(142\) | −64.4428 | + | 111.618i | −0.0380839 | + | 0.0659633i | ||||
\(143\) | −1547.80 | − | 2680.87i | −0.905129 | − | 1.56773i | ||||
\(144\) | −1127.99 | + | 1281.39i | −0.652774 | + | 0.741544i | ||||
\(145\) | −1066.59 | − | 615.798i | −0.610868 | − | 0.352685i | ||||
\(146\) | 17.4947 | 0.00991695 | ||||||||
\(147\) | 1577.14 | + | 830.154i | 0.884900 | + | 0.465782i | ||||
\(148\) | 2775.49 | 1.54151 | ||||||||
\(149\) | −1296.14 | − | 748.329i | −0.712646 | − | 0.411446i | 0.0993939 | − | 0.995048i | \(-0.468310\pi\) |
−0.812040 | + | 0.583602i | \(0.801643\pi\) | |||||||
\(150\) | 2.30782 | − | 23.2092i | 0.00125622 | − | 0.0126335i | ||||
\(151\) | 744.256 | + | 1289.09i | 0.401104 | + | 0.694732i | 0.993859 | − | 0.110650i | \(-0.0352933\pi\) |
−0.592756 | + | 0.805382i | \(0.701960\pi\) | |||||||
\(152\) | 23.4685 | − | 40.6487i | 0.0125234 | − | 0.0216911i | ||||
\(153\) | 335.629 | + | 994.842i | 0.177347 | + | 0.525674i | ||||
\(154\) | 161.396 | + | 31.4925i | 0.0844524 | + | 0.0164788i | ||||
\(155\) | 740.854i | 0.383915i | ||||||||
\(156\) | −2361.65 | + | 1067.39i | −1.21207 | + | 0.547817i | ||||
\(157\) | −1688.96 | + | 975.119i | −0.858557 | + | 0.495688i | −0.863529 | − | 0.504300i | \(-0.831751\pi\) |
0.00497209 | + | 0.999988i | \(0.498417\pi\) | |||||||
\(158\) | 139.945 | − | 80.7971i | 0.0704646 | − | 0.0406827i | ||||
\(159\) | −1440.69 | + | 651.147i | −0.718582 | + | 0.324775i | ||||
\(160\) | − | 171.439i | − | 0.0847089i | ||||||
\(161\) | −2028.99 | − | 1766.33i | −0.993211 | − | 0.864638i | ||||
\(162\) | 79.2911 | + | 104.138i | 0.0384549 | + | 0.0505055i | ||||
\(163\) | −1766.74 | + | 3060.09i | −0.848970 | + | 1.47046i | 0.0331589 | + | 0.999450i | \(0.489443\pi\) |
−0.882129 | + | 0.471009i | \(0.843890\pi\) | |||||||
\(164\) | 1709.19 | + | 2960.41i | 0.813813 | + | 1.40957i | ||||
\(165\) | −127.129 | + | 1278.50i | −0.0599815 | + | 0.603219i | ||||
\(166\) | 14.1485 | + | 8.16866i | 0.00661530 | + | 0.00381934i | ||||
\(167\) | −2477.73 | −1.14810 | −0.574050 | − | 0.818820i | \(-0.694629\pi\) | ||||
−0.574050 | + | 0.818820i | \(0.694629\pi\) | |||||||
\(168\) | 79.3730 | − | 264.234i | 0.0364509 | − | 0.121346i | ||||
\(169\) | −1721.49 | −0.783565 | ||||||||
\(170\) | −30.2324 | − | 17.4547i | −0.0136395 | − | 0.00787479i | ||||
\(171\) | 331.797 | + | 292.078i | 0.148381 | + | 0.130618i | ||||
\(172\) | −293.065 | − | 507.603i | −0.129918 | − | 0.225025i | ||||
\(173\) | 1431.13 | − | 2478.79i | 0.628941 | − | 1.08936i | −0.358824 | − | 0.933405i | \(-0.616822\pi\) |
0.987765 | − | 0.155952i | \(-0.0498446\pi\) | |||||||
\(174\) | −134.030 | + | 186.669i | −0.0583952 | + | 0.0813296i | ||||
\(175\) | −150.426 | − | 437.889i | −0.0649779 | − | 0.189150i | ||||
\(176\) | 3126.73i | 1.33913i | ||||||||
\(177\) | −1439.09 | − | 3184.06i | −0.611122 | − | 1.35214i | ||||
\(178\) | 102.158 | − | 58.9812i | 0.0430174 | − | 0.0248361i | ||||
\(179\) | 2215.36 | − | 1279.04i | 0.925048 | − | 0.534076i | 0.0398057 | − | 0.999207i | \(-0.487326\pi\) |
0.885242 | + | 0.465131i | \(0.153993\pi\) | |||||||
\(180\) | 1054.59 | + | 211.821i | 0.436690 | + | 0.0877124i | ||||
\(181\) | − | 2642.97i | − | 1.08536i | −0.839938 | − | 0.542682i | \(-0.817409\pi\) | ||
0.839938 | − | 0.542682i | \(-0.182591\pi\) | |||||||
\(182\) | 136.673 | − | 156.997i | 0.0556642 | − | 0.0639415i | ||||
\(183\) | −1361.81 | − | 977.785i | −0.550096 | − | 0.394972i | ||||
\(184\) | −208.216 | + | 360.640i | −0.0834232 | + | 0.144493i | ||||
\(185\) | −870.851 | − | 1508.36i | −0.346088 | − | 0.599441i | ||||
\(186\) | 137.557 | + | 13.6781i | 0.0542268 | + | 0.00539208i | ||||
\(187\) | 1665.38 | + | 961.507i | 0.651255 | + | 0.376002i | ||||
\(188\) | 1978.06 | 0.767368 | ||||||||
\(189\) | 2292.54 | + | 1222.91i | 0.882317 | + | 0.470656i | ||||
\(190\) | −14.6974 | −0.00561192 | ||||||||
\(191\) | 567.248 | + | 327.501i | 0.214893 | + | 0.124069i | 0.603584 | − | 0.797300i | \(-0.293739\pi\) |
−0.388690 | + | 0.921369i | \(0.627072\pi\) | |||||||
\(192\) | 2583.58 | + | 256.900i | 0.971115 | + | 0.0965635i | ||||
\(193\) | −1101.20 | − | 1907.34i | −0.410706 | − | 0.711363i | 0.584261 | − | 0.811566i | \(-0.301384\pi\) |
−0.994967 | + | 0.100202i | \(0.968051\pi\) | |||||||
\(194\) | −131.519 | + | 227.797i | −0.0486726 | + | 0.0843034i | ||||
\(195\) | 1321.08 | + | 948.543i | 0.485151 | + | 0.348341i | ||||
\(196\) | −376.467 | − | 2706.89i | −0.137196 | − | 0.986476i | ||||
\(197\) | − | 3419.48i | − | 1.23669i | −0.785907 | − | 0.618344i | \(-0.787804\pi\) | ||
0.785907 | − | 0.618344i | \(-0.212196\pi\) | |||||||
\(198\) | 235.037 | + | 47.2089i | 0.0843602 | + | 0.0169444i | ||||
\(199\) | −1630.44 | + | 941.333i | −0.580797 | + | 0.335323i | −0.761450 | − | 0.648223i | \(-0.775512\pi\) |
0.180653 | + | 0.983547i | \(0.442179\pi\) | |||||||
\(200\) | −62.0711 | + | 35.8368i | −0.0219455 | + | 0.0126702i | ||||
\(201\) | −443.172 | − | 980.541i | −0.155517 | − | 0.344090i | ||||
\(202\) | − | 37.3966i | − | 0.0130258i | ||||||
\(203\) | −873.665 | + | 4477.46i | −0.302065 | + | 1.54806i | ||||
\(204\) | 938.990 | − | 1307.77i | 0.322267 | − | 0.448836i | ||||
\(205\) | 1072.57 | − | 1857.74i | 0.365421 | − | 0.632927i | ||||
\(206\) | −54.2928 | − | 94.0380i | −0.0183629 | − | 0.0318055i | ||||
\(207\) | −2943.74 | − | 2591.35i | −0.988427 | − | 0.870103i | ||||
\(208\) | 3427.64 | + | 1978.95i | 1.14262 | + | 0.659689i | ||||
\(209\) | 809.622 | 0.267955 | ||||||||
\(210\) | −84.0818 | + | 19.8456i | −0.0276295 | + | 0.00652130i | ||||
\(211\) | 305.379 | 0.0996359 | 0.0498179 | − | 0.998758i | \(-0.484136\pi\) | ||||
0.0498179 | + | 0.998758i | \(0.484136\pi\) | |||||||
\(212\) | 2099.52 | + | 1212.16i | 0.680168 | + | 0.392695i | ||||
\(213\) | −369.077 | + | 3711.71i | −0.118727 | + | 1.19400i | ||||
\(214\) | 27.0965 | + | 46.9325i | 0.00865551 | + | 0.0149918i | ||||
\(215\) | −183.906 | + | 318.535i | −0.0583364 | + | 0.101042i | ||||
\(216\) | 117.838 | − | 384.572i | 0.0371197 | − | 0.121143i | ||||
\(217\) | 2595.30 | − | 891.549i | 0.811891 | − | 0.278905i | ||||
\(218\) | 47.1542i | 0.0146499i | ||||||||
\(219\) | 461.372 | − | 208.525i | 0.142359 | − | 0.0643417i | ||||
\(220\) | 1706.17 | − | 985.058i | 0.522863 | − | 0.301875i | ||||
\(221\) | 2108.08 | − | 1217.10i | 0.641651 | − | 0.370458i | ||||
\(222\) | −296.140 | + | 133.846i | −0.0895299 | + | 0.0404646i | ||||
\(223\) | − | 731.199i | − | 0.219573i | −0.993955 | − | 0.109786i | \(-0.964983\pi\) | ||
0.993955 | − | 0.109786i | \(-0.0350167\pi\) | |||||||
\(224\) | −600.569 | + | 206.311i | −0.179139 | + | 0.0615389i | ||||
\(225\) | −215.776 | − | 639.583i | −0.0639336 | − | 0.189506i | ||||
\(226\) | −91.9002 | + | 159.176i | −0.0270492 | + | 0.0468505i | ||||
\(227\) | −1018.34 | − | 1763.81i | −0.297751 | − | 0.515719i | 0.677870 | − | 0.735182i | \(-0.262903\pi\) |
−0.975621 | + | 0.219462i | \(0.929570\pi\) | |||||||
\(228\) | 67.0689 | − | 674.495i | 0.0194813 | − | 0.195919i | ||||
\(229\) | −534.250 | − | 308.450i | −0.154167 | − | 0.0890084i | 0.420932 | − | 0.907092i | \(-0.361703\pi\) |
−0.575099 | + | 0.818084i | \(0.695036\pi\) | |||||||
\(230\) | 130.398 | 0.0373833 | ||||||||
\(231\) | 4631.72 | − | 1093.21i | 1.31924 | − | 0.311376i | ||||
\(232\) | 706.183 | 0.199841 | ||||||||
\(233\) | 3809.15 | + | 2199.21i | 1.07101 | + | 0.618348i | 0.928457 | − | 0.371439i | \(-0.121136\pi\) |
0.142553 | + | 0.989787i | \(0.454469\pi\) | |||||||
\(234\) | 200.510 | − | 227.777i | 0.0560160 | − | 0.0636335i | ||||
\(235\) | −620.646 | − | 1074.99i | −0.172283 | − | 0.298403i | ||||
\(236\) | −2678.97 | + | 4640.12i | −0.738925 | + | 1.27986i | ||||
\(237\) | 2727.59 | − | 3798.83i | 0.747577 | − | 1.04118i | ||||
\(238\) | −24.7639 | + | 126.913i | −0.00674456 | + | 0.0345653i | ||||
\(239\) | 2146.34i | 0.580902i | 0.956890 | + | 0.290451i | \(0.0938053\pi\) | ||||
−0.956890 | + | 0.290451i | \(0.906195\pi\) | |||||||
\(240\) | −676.552 | − | 1496.90i | −0.181964 | − | 0.402603i | ||||
\(241\) | 1153.42 | − | 665.929i | 0.308293 | − | 0.177993i | −0.337870 | − | 0.941193i | \(-0.609706\pi\) |
0.646162 | + | 0.763200i | \(0.276373\pi\) | |||||||
\(242\) | 173.297 | − | 100.053i | 0.0460330 | − | 0.0265771i | ||||
\(243\) | 3332.33 | + | 1801.25i | 0.879707 | + | 0.475515i | ||||
\(244\) | 2570.71i | 0.674478i | ||||||||
\(245\) | −1352.95 | + | 1053.92i | −0.352804 | + | 0.274826i | ||||
\(246\) | −325.131 | − | 233.446i | −0.0842666 | − | 0.0605040i | ||||
\(247\) | 512.420 | − | 887.538i | 0.132002 | − | 0.228634i | ||||
\(248\) | −212.399 | − | 367.885i | −0.0543844 | − | 0.0941965i | ||||
\(249\) | 470.491 | + | 46.7836i | 0.119744 | + | 0.0119068i | ||||
\(250\) | 19.4364 | + | 11.2216i | 0.00491706 | + | 0.00283887i | ||||
\(251\) | −465.089 | −0.116957 | −0.0584784 | − | 0.998289i | \(-0.518625\pi\) | ||||
−0.0584784 | + | 0.998289i | \(0.518625\pi\) | |||||||
\(252\) | −527.061 | − | 3949.24i | −0.131753 | − | 0.987217i | ||||
\(253\) | −7183.07 | −1.78496 | ||||||||
\(254\) | 141.532 | + | 81.7135i | 0.0349626 | + | 0.0201857i | ||||
\(255\) | −1005.34 | − | 99.9667i | −0.246889 | − | 0.0245496i | ||||
\(256\) | −1965.97 | − | 3405.16i | −0.479974 | − | 0.831339i | ||||
\(257\) | −1599.45 | + | 2770.33i | −0.388213 | + | 0.672405i | −0.992209 | − | 0.124582i | \(-0.960241\pi\) |
0.603996 | + | 0.796987i | \(0.293574\pi\) | |||||||
\(258\) | 55.7482 | + | 40.0276i | 0.0134525 | + | 0.00965895i | ||||
\(259\) | −4235.96 | + | 4865.86i | −1.01625 | + | 1.16737i | ||||
\(260\) | − | 2493.82i | − | 0.594848i | ||||||
\(261\) | −1309.67 | + | 6520.39i | −0.310600 | + | 1.54637i | ||||
\(262\) | 101.447 | − | 58.5704i | 0.0239214 | − | 0.0138110i | ||||
\(263\) | −6522.47 | + | 3765.75i | −1.52925 | + | 0.882913i | −0.529857 | + | 0.848087i | \(0.677754\pi\) |
−0.999393 | + | 0.0348262i | \(0.988912\pi\) | |||||||
\(264\) | −303.410 | − | 671.311i | −0.0707334 | − | 0.156501i | ||||
\(265\) | − | 1521.33i | − | 0.352658i | ||||||
\(266\) | 17.6870 | + | 51.4868i | 0.00407692 | + | 0.0118679i | ||||
\(267\) | 1991.11 | − | 2773.11i | 0.456382 | − | 0.635624i | ||||
\(268\) | −824.998 | + | 1428.94i | −0.188040 | + | 0.325695i | ||||
\(269\) | −3549.36 | − | 6147.67i | −0.804491 | − | 1.39342i | −0.916634 | − | 0.399728i | \(-0.869105\pi\) |
0.112143 | − | 0.993692i | \(-0.464229\pi\) | |||||||
\(270\) | −122.737 | + | 28.2555i | −0.0276650 | + | 0.00636880i | ||||
\(271\) | 3503.02 | + | 2022.47i | 0.785215 | + | 0.453344i | 0.838275 | − | 0.545247i | \(-0.183564\pi\) |
−0.0530600 | + | 0.998591i | \(0.516897\pi\) | |||||||
\(272\) | −2458.68 | −0.548086 | ||||||||
\(273\) | 1733.06 | − | 5769.37i | 0.384210 | − | 1.27904i | ||||
\(274\) | 195.239 | 0.0430467 | ||||||||
\(275\) | −1070.67 | − | 618.152i | −0.234778 | − | 0.135549i | ||||
\(276\) | −595.044 | + | 5984.21i | −0.129773 | + | 1.30510i | ||||
\(277\) | 2703.45 | + | 4682.52i | 0.586407 | + | 1.01569i | 0.994698 | + | 0.102835i | \(0.0327915\pi\) |
−0.408291 | + | 0.912852i | \(0.633875\pi\) | |||||||
\(278\) | −128.399 | + | 222.394i | −0.0277009 | + | 0.0479794i | ||||
\(279\) | 3790.70 | − | 1278.87i | 0.813417 | − | 0.274422i | ||||
\(280\) | 200.237 | + | 174.316i | 0.0427374 | + | 0.0372049i | ||||
\(281\) | − | 4135.32i | − | 0.877909i | −0.898509 | − | 0.438954i | \(-0.855349\pi\) | ||
0.898509 | − | 0.438954i | \(-0.144651\pi\) | |||||||
\(282\) | −211.056 | + | 95.3905i | −0.0445681 | + | 0.0201433i | ||||
\(283\) | 898.666 | − | 518.845i | 0.188764 | − | 0.108983i | −0.402640 | − | 0.915358i | \(-0.631907\pi\) |
0.591404 | + | 0.806376i | \(0.298574\pi\) | |||||||
\(284\) | 4953.32 | − | 2859.80i | 1.03495 | − | 0.597528i | ||||
\(285\) | −387.602 | + | 175.183i | −0.0805599 | + | 0.0364104i | ||||
\(286\) | − | 555.802i | − | 0.114913i | ||||||
\(287\) | −7798.61 | − | 1521.71i | −1.60396 | − | 0.312974i | ||||
\(288\) | −877.194 | + | 295.939i | −0.179476 | + | 0.0605498i | ||||
\(289\) | 1700.43 | − | 2945.22i | 0.346107 | − | 0.599475i | ||||
\(290\) | −110.564 | − | 191.502i | −0.0223881 | − | 0.0387773i | ||||
\(291\) | −753.234 | + | 7575.08i | −0.151737 | + | 1.52598i | ||||
\(292\) | −672.356 | − | 388.185i | −0.134749 | − | 0.0777973i | ||||
\(293\) | 2168.45 | 0.432363 | 0.216182 | − | 0.976353i | \(-0.430640\pi\) | ||||
0.216182 | + | 0.976353i | \(0.430640\pi\) | |||||||
\(294\) | 170.706 | + | 270.666i | 0.0338632 | + | 0.0536923i | ||||
\(295\) | 3362.26 | 0.663588 | ||||||||
\(296\) | 864.875 | + | 499.336i | 0.169831 | + | 0.0980517i | ||||
\(297\) | 6761.10 | − | 1556.48i | 1.32094 | − | 0.304095i | ||||
\(298\) | −134.359 | − | 232.717i | −0.0261182 | − | 0.0452381i | ||||
\(299\) | −4546.26 | + | 7874.35i | −0.879321 | + | 1.52303i | ||||
\(300\) | −603.676 | + | 840.767i | −0.116177 | + | 0.161806i | ||||
\(301\) | 1337.18 | + | 260.918i | 0.256059 | + | 0.0499636i | ||||
\(302\) | 267.256i | 0.0509233i | ||||||||
\(303\) | −445.742 | − | 986.226i | −0.0845123 | − | 0.186988i | ||||
\(304\) | −896.463 | + | 517.573i | −0.169131 | + | 0.0976476i | ||||
\(305\) | 1397.06 | − | 806.596i | 0.262281 | − | 0.151428i | ||||
\(306\) | −37.1224 | + | 184.819i | −0.00693511 | + | 0.0345275i | ||||
\(307\) | 73.6193i | 0.0136862i | 0.999977 | + | 0.00684312i | \(0.00217825\pi\) | ||||
−0.999977 | + | 0.00684312i | \(0.997822\pi\) | |||||||
\(308\) | −5503.99 | − | 4791.48i | −1.01824 | − | 0.886429i | ||||
\(309\) | −2552.68 | − | 1832.84i | −0.469958 | − | 0.337433i | ||||
\(310\) | −66.5086 | + | 115.196i | −0.0121853 | + | 0.0211055i | ||||
\(311\) | 575.335 | + | 996.510i | 0.104901 | + | 0.181694i | 0.913698 | − | 0.406394i | \(-0.133214\pi\) |
−0.808797 | + | 0.588088i | \(0.799881\pi\) | |||||||
\(312\) | −927.949 | − | 92.2713i | −0.168381 | − | 0.0167430i | ||||
\(313\) | −2757.46 | − | 1592.02i | −0.497957 | − | 0.287496i | 0.229912 | − | 0.973211i | \(-0.426156\pi\) |
−0.727870 | + | 0.685716i | \(0.759489\pi\) | |||||||
\(314\) | −350.157 | −0.0629315 | ||||||||
\(315\) | −1980.86 | + | 1525.57i | −0.354315 | + | 0.272876i | ||||
\(316\) | −7171.13 | −1.27661 | ||||||||
\(317\) | −1348.14 | − | 778.351i | −0.238862 | − | 0.137907i | 0.375792 | − | 0.926704i | \(-0.377371\pi\) |
−0.614654 | + | 0.788797i | \(0.710704\pi\) | |||||||
\(318\) | −282.470 | − | 28.0877i | −0.0498118 | − | 0.00495307i | ||||
\(319\) | 6090.51 | + | 10549.1i | 1.06898 | + | 1.85152i | ||||
\(320\) | −1249.16 | + | 2163.60i | −0.218219 | + | 0.377966i | ||||
\(321\) | 1273.99 | + | 914.736i | 0.221518 | + | 0.159052i | ||||
\(322\) | −156.921 | − | 456.798i | −0.0271580 | − | 0.0790570i | ||||
\(323\) | 636.640i | 0.109671i | ||||||||
\(324\) | −736.614 | − | 5761.60i | −0.126306 | − | 0.987929i | ||||
\(325\) | −1355.28 | + | 782.473i | −0.231316 | + | 0.133550i | ||||
\(326\) | −549.426 | + | 317.211i | −0.0933432 | + | 0.0538917i | ||||
\(327\) | 562.045 | + | 1243.55i | 0.0950495 | + | 0.210302i | ||||
\(328\) | 1229.99i | 0.207058i | ||||||||
\(329\) | −3018.92 | + | 3467.84i | −0.505893 | + | 0.581120i | ||||
\(330\) | −134.542 | + | 187.383i | −0.0224433 | + | 0.0312578i | ||||
\(331\) | 4938.06 | − | 8552.97i | 0.820001 | − | 1.42028i | −0.0856792 | − | 0.996323i | \(-0.527306\pi\) |
0.905680 | − | 0.423961i | \(-0.139361\pi\) | |||||||
\(332\) | −362.504 | − | 627.875i | −0.0599246 | − | 0.103792i | ||||
\(333\) | −6214.48 | + | 7059.58i | −1.02268 | + | 1.16175i | ||||
\(334\) | −385.266 | − | 222.433i | −0.0631162 | − | 0.0364401i | ||||
\(335\) | 1035.42 | 0.168869 | ||||||||
\(336\) | −4429.66 | + | 4171.43i | −0.719220 | + | 0.677291i | ||||
\(337\) | −6476.95 | −1.04695 | −0.523475 | − | 0.852041i | \(-0.675365\pi\) | ||||
−0.523475 | + | 0.852041i | \(0.675365\pi\) | |||||||
\(338\) | −267.677 | − | 154.543i | −0.0430760 | − | 0.0248700i | ||||
\(339\) | −526.332 | + | 5293.18i | −0.0843257 | + | 0.848042i | ||||
\(340\) | 774.593 | + | 1341.64i | 0.123554 | + | 0.214001i | ||||
\(341\) | 3663.68 | − | 6345.69i | 0.581817 | − | 1.00774i | ||||
\(342\) | 25.3708 | + | 75.2018i | 0.00401139 | + | 0.0118902i | ||||
\(343\) | 5320.15 | + | 3471.26i | 0.837496 | + | 0.546444i | ||||
\(344\) | − | 210.900i | − | 0.0330551i | ||||||
\(345\) | 3438.85 | − | 1554.25i | 0.536643 | − | 0.242545i | ||||
\(346\) | 445.056 | − | 256.953i | 0.0691513 | − | 0.0399245i | ||||
\(347\) | 1378.53 | − | 795.894i | 0.213266 | − | 0.123129i | −0.389562 | − | 0.921000i | \(-0.627374\pi\) |
0.602828 | + | 0.797871i | \(0.294040\pi\) | |||||||
\(348\) | 9292.96 | − | 4200.11i | 1.43148 | − | 0.646982i | ||||
\(349\) | − | 5228.59i | − | 0.801948i | −0.916089 | − | 0.400974i | \(-0.868672\pi\) | ||
0.916089 | − | 0.400974i | \(-0.131328\pi\) | |||||||
\(350\) | 15.9207 | − | 81.5921i | 0.00243142 | − | 0.0124608i | ||||
\(351\) | 2572.92 | − | 8396.89i | 0.391260 | − | 1.27690i | ||||
\(352\) | −847.801 | + | 1468.44i | −0.128375 | + | 0.222352i | ||||
\(353\) | 686.515 | + | 1189.08i | 0.103511 | + | 0.179287i | 0.913129 | − | 0.407671i | \(-0.133659\pi\) |
−0.809618 | + | 0.586958i | \(0.800326\pi\) | |||||||
\(354\) | 62.0761 | − | 624.284i | 0.00932008 | − | 0.0937297i | ||||
\(355\) | −3108.35 | − | 1794.61i | −0.464716 | − | 0.268304i | ||||
\(356\) | −5234.86 | −0.779345 | ||||||||
\(357\) | 859.638 | + | 3642.12i | 0.127442 | + | 0.539948i | ||||
\(358\) | 459.291 | 0.0678053 | ||||||||
\(359\) | 3353.54 | + | 1936.16i | 0.493016 | + | 0.284643i | 0.725825 | − | 0.687880i | \(-0.241458\pi\) |
−0.232809 | + | 0.972523i | \(0.574792\pi\) | |||||||
\(360\) | 290.512 | + | 255.735i | 0.0425315 | + | 0.0374401i | ||||
\(361\) | −3295.48 | − | 5707.94i | −0.480461 | − | 0.832183i | ||||
\(362\) | 237.267 | − | 410.959i | 0.0344489 | − | 0.0596672i | ||||
\(363\) | 3377.64 | − | 4704.20i | 0.488375 | − | 0.680183i | ||||
\(364\) | −8736.15 | + | 3001.09i | −1.25796 | + | 0.432142i | ||||
\(365\) | 487.195i | 0.0698656i | ||||||||
\(366\) | −123.970 | − | 274.290i | −0.0177050 | − | 0.0391731i | ||||
\(367\) | −2141.83 | + | 1236.58i | −0.304639 | + | 0.175883i | −0.644525 | − | 0.764583i | \(-0.722945\pi\) |
0.339886 | + | 0.940467i | \(0.389611\pi\) | |||||||
\(368\) | 7953.54 | − | 4591.98i | 1.12665 | − | 0.650471i | ||||
\(369\) | −11356.9 | − | 2281.12i | −1.60221 | − | 0.321816i | ||||
\(370\) | − | 312.715i | − | 0.0439386i | ||||||
\(371\) | −5329.38 | + | 1830.78i | −0.745789 | + | 0.256197i | ||||
\(372\) | −4983.09 | − | 3577.89i | −0.694519 | − | 0.498669i | ||||
\(373\) | −5831.90 | + | 10101.1i | −0.809556 | + | 1.40219i | 0.103616 | + | 0.994617i | \(0.466959\pi\) |
−0.913172 | + | 0.407574i | \(0.866375\pi\) | |||||||
\(374\) | 172.634 | + | 299.012i | 0.0238682 | + | 0.0413410i | ||||
\(375\) | 646.332 | + | 64.2685i | 0.0890038 | + | 0.00885016i | ||||
\(376\) | 616.387 | + | 355.871i | 0.0845419 | + | 0.0488103i | ||||
\(377\) | 15419.1 | 2.10642 | ||||||||
\(378\) | 246.685 | + | 395.960i | 0.0335665 | + | 0.0538783i | ||||
\(379\) | 10583.0 | 1.43433 | 0.717164 | − | 0.696905i | \(-0.245440\pi\) | ||||
0.717164 | + | 0.696905i | \(0.245440\pi\) | |||||||
\(380\) | 564.851 | + | 326.117i | 0.0762533 | + | 0.0440249i | ||||
\(381\) | 4706.46 | + | 467.990i | 0.632858 | + | 0.0629287i | ||||
\(382\) | 58.8014 | + | 101.847i | 0.00787576 | + | 0.0136412i | ||||
\(383\) | −1827.96 | + | 3166.13i | −0.243876 | + | 0.422406i | −0.961815 | − | 0.273700i | \(-0.911752\pi\) |
0.717939 | + | 0.696106i | \(0.245086\pi\) | |||||||
\(384\) | 1536.45 | + | 1103.18i | 0.204184 | + | 0.146605i | ||||
\(385\) | −877.005 | + | 4494.57i | −0.116094 | + | 0.594973i | ||||
\(386\) | − | 395.432i | − | 0.0521424i | ||||||
\(387\) | 1947.30 | + | 391.129i | 0.255780 | + | 0.0513752i | ||||
\(388\) | 10109.0 | − | 5836.45i | 1.32270 | − | 0.763661i | ||||
\(389\) | 485.428 | − | 280.262i | 0.0632704 | − | 0.0365292i | −0.468031 | − | 0.883712i | \(-0.655036\pi\) |
0.531301 | + | 0.847183i | \(0.321703\pi\) | |||||||
\(390\) | 120.263 | + | 266.087i | 0.0156147 | + | 0.0345483i | ||||
\(391\) | − | 5648.36i | − | 0.730562i | ||||||
\(392\) | 369.682 | − | 911.227i | 0.0476321 | − | 0.117408i | ||||
\(393\) | 1977.24 | − | 2753.80i | 0.253788 | − | 0.353462i | ||||
\(394\) | 306.976 | − | 531.698i | 0.0392519 | − | 0.0679862i | ||||
\(395\) | 2250.04 | + | 3897.19i | 0.286613 | + | 0.496428i | ||||
\(396\) | −7985.41 | − | 7029.48i | −1.01334 | − | 0.892032i | ||||
\(397\) | 2445.51 | + | 1411.91i | 0.309160 | + | 0.178494i | 0.646550 | − | 0.762871i | \(-0.276211\pi\) |
−0.337391 | + | 0.941365i | \(0.609544\pi\) | |||||||
\(398\) | −338.025 | −0.0425720 | ||||||||
\(399\) | 1080.13 | + | 1147.00i | 0.135524 | + | 0.143914i | ||||
\(400\) | 1580.68 | 0.197585 | ||||||||
\(401\) | 3702.86 | + | 2137.85i | 0.461128 | + | 0.266232i | 0.712518 | − | 0.701653i | \(-0.247555\pi\) |
−0.251391 | + | 0.967886i | \(0.580888\pi\) | |||||||
\(402\) | 19.1165 | − | 192.250i | 0.00237176 | − | 0.0238522i | ||||
\(403\) | −4637.59 | − | 8032.54i | −0.573238 | − | 0.992877i | ||||
\(404\) | −829.782 | + | 1437.22i | −0.102186 | + | 0.176992i | ||||
\(405\) | −2900.05 | + | 2208.10i | −0.355814 | + | 0.270917i | ||||
\(406\) | −537.801 | + | 617.773i | −0.0657405 | + | 0.0755162i | ||||
\(407\) | 17226.2i | 2.09796i | ||||||||
\(408\) | 527.880 | − | 238.585i | 0.0640539 | − | 0.0289503i | ||||
\(409\) | 12795.2 | − | 7387.30i | 1.54690 | − | 0.893102i | 0.548522 | − | 0.836136i | \(-0.315191\pi\) |
0.998376 | − | 0.0569655i | \(-0.0181425\pi\) | |||||||
\(410\) | 333.549 | − | 192.575i | 0.0401776 | − | 0.0231965i | ||||
\(411\) | 5148.84 | − | 2327.11i | 0.617941 | − | 0.279289i | ||||
\(412\) | 4818.75i | 0.576220i | ||||||||
\(413\) | −4046.17 | − | 11778.4i | −0.482080 | − | 1.40333i | ||||
\(414\) | −225.093 | − | 667.200i | −0.0267216 | − | 0.0792056i | ||||
\(415\) | −227.481 | + | 394.009i | −0.0269075 | + | 0.0466052i | ||||
\(416\) | 1073.17 | + | 1858.78i | 0.126482 | + | 0.219073i | ||||
\(417\) | −735.367 | + | 7395.40i | −0.0863576 | + | 0.868476i | ||||
\(418\) | 125.889 | + | 72.6820i | 0.0147307 | + | 0.00850477i | ||||
\(419\) | 13761.3 | 1.60450 | 0.802250 | − | 0.596988i | \(-0.203636\pi\) | ||||
0.802250 | + | 0.596988i | \(0.203636\pi\) | |||||||
\(420\) | 3671.77 | + | 1102.96i | 0.426581 | + | 0.128140i | ||||
\(421\) | 6720.49 | 0.777997 | 0.388999 | − | 0.921238i | \(-0.372821\pi\) | ||||
0.388999 | + | 0.921238i | \(0.372821\pi\) | |||||||
\(422\) | 47.4837 | + | 27.4148i | 0.00547742 | + | 0.00316239i | ||||
\(423\) | −4429.00 | + | 5031.29i | −0.509090 | + | 0.578321i | ||||
\(424\) | 436.156 | + | 755.444i | 0.0499566 | + | 0.0865274i | ||||
\(425\) | 486.080 | − | 841.914i | 0.0554784 | − | 0.0960914i | ||||
\(426\) | −390.599 | + | 544.006i | −0.0444240 | + | 0.0618713i | ||||
\(427\) | −4506.83 | − | 3923.41i | −0.510775 | − | 0.444654i | ||||
\(428\) | − | 2404.94i | − | 0.271606i | ||||||
\(429\) | −6624.77 | − | 14657.6i | −0.745564 | − | 1.64960i | ||||
\(430\) | −57.1916 | + | 33.0196i | −0.00641401 | + | 0.00370313i | ||||
\(431\) | −4889.70 | + | 2823.07i | −0.546470 | + | 0.315505i | −0.747697 | − | 0.664040i | \(-0.768840\pi\) |
0.201227 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(432\) | −6491.28 | + | 6045.65i | −0.722945 | + | 0.673314i | ||||
\(433\) | − | 14852.2i | − | 1.64839i | −0.566309 | − | 0.824193i | \(-0.691629\pi\) | ||
0.566309 | − | 0.824193i | \(-0.308371\pi\) | |||||||
\(434\) | 483.583 | + | 94.3592i | 0.0534855 | + | 0.0104364i | ||||
\(435\) | −5198.38 | − | 3732.47i | −0.572973 | − | 0.411398i | ||||
\(436\) | 1046.29 | − | 1812.22i | 0.114927 | − | 0.199059i | ||||
\(437\) | −1189.03 | − | 2059.45i | −0.130158 | − | 0.225439i | ||||
\(438\) | 90.4592 | + | 8.99488i | 0.00986829 | + | 0.000981260i | ||||
\(439\) | −6727.84 | − | 3884.32i | −0.731441 | − | 0.422298i | 0.0875082 | − | 0.996164i | \(-0.472110\pi\) |
−0.818949 | + | 0.573866i | \(0.805443\pi\) | |||||||
\(440\) | 708.883 | 0.0768060 | ||||||||
\(441\) | 7728.02 | + | 5103.32i | 0.834469 | + | 0.551055i | ||||
\(442\) | 437.051 | 0.0470325 | ||||||||
\(443\) | 13215.4 | + | 7629.90i | 1.41734 | + | 0.818301i | 0.996064 | − | 0.0886318i | \(-0.0282495\pi\) |
0.421275 | + | 0.906933i | \(0.361583\pi\) | |||||||
\(444\) | 14351.1 | + | 1427.01i | 1.53395 | + | 0.152529i | ||||
\(445\) | 1642.51 | + | 2844.91i | 0.174972 | + | 0.303060i | ||||
\(446\) | 65.6418 | − | 113.695i | 0.00696913 | − | 0.0120709i | ||||
\(447\) | −6317.16 | − | 4535.76i | −0.668437 | − | 0.479942i | ||||
\(448\) | 9082.59 | + | 1772.24i | 0.957840 | + | 0.186899i | ||||
\(449\) | − | 11513.9i | − | 1.21019i | −0.796155 | − | 0.605093i | \(-0.793136\pi\) | ||
0.796155 | − | 0.605093i | \(-0.206864\pi\) | |||||||
\(450\) | 23.8659 | − | 118.820i | 0.00250011 | − | 0.0124472i | ||||
\(451\) | −18373.8 | + | 10608.1i | −1.91838 | + | 1.10758i | ||||
\(452\) | 7063.81 | − | 4078.29i | 0.735074 | − | 0.424395i | ||||
\(453\) | 3185.51 | + | 7048.09i | 0.330393 | + | 0.731011i | ||||
\(454\) | − | 365.676i | − | 0.0378018i | ||||||
\(455\) | 4372.05 | + | 3806.08i | 0.450472 | + | 0.392158i | ||||
\(456\) | 142.247 | − | 198.114i | 0.0146082 | − | 0.0203455i | ||||
\(457\) | −5087.08 | + | 8811.08i | −0.520708 | + | 0.901892i | 0.479002 | + | 0.877814i | \(0.340999\pi\) |
−0.999710 | + | 0.0240786i | \(0.992335\pi\) | |||||||
\(458\) | −55.3808 | − | 95.9223i | −0.00565016 | − | 0.00978637i | ||||
\(459\) | 1223.93 | + | 5316.54i | 0.124462 | + | 0.540643i | ||||
\(460\) | −5011.43 | − | 2893.35i | −0.507955 | − | 0.293268i | ||||
\(461\) | 15814.8 | 1.59776 | 0.798882 | − | 0.601488i | \(-0.205425\pi\) | ||||
0.798882 | + | 0.601488i | \(0.205425\pi\) | |||||||
\(462\) | 818.332 | + | 245.818i | 0.0824074 | + | 0.0247543i | ||||
\(463\) | −5625.29 | −0.564643 | −0.282321 | − | 0.959320i | \(-0.591104\pi\) | ||||
−0.282321 | + | 0.959320i | \(0.591104\pi\) | |||||||
\(464\) | −13487.6 | − | 7787.06i | −1.34945 | − | 0.779106i | ||||
\(465\) | −380.909 | + | 3830.70i | −0.0379875 | + | 0.382031i | ||||
\(466\) | 394.859 | + | 683.916i | 0.0392521 | + | 0.0679867i | ||||
\(467\) | 8506.32 | − | 14733.4i | 0.842881 | − | 1.45991i | −0.0445680 | − | 0.999006i | \(-0.514191\pi\) |
0.887449 | − | 0.460906i | \(-0.152476\pi\) | |||||||
\(468\) | −12760.1 | + | 4304.86i | −1.26033 | + | 0.425197i | ||||
\(469\) | −1246.03 | − | 3627.19i | −0.122679 | − | 0.357118i | ||||
\(470\) | − | 222.869i | − | 0.0218727i | ||||||
\(471\) | −9234.36 | + | 4173.63i | −0.903391 | + | 0.408303i | ||||
\(472\) | −1669.60 | + | 963.942i | −0.162817 | + | 0.0940022i | ||||
\(473\) | 3150.45 | − | 1818.91i | 0.306254 | − | 0.176816i | ||||
\(474\) | 765.147 | − | 345.822i | 0.0741443 | − | 0.0335108i | ||||
\(475\) | − | 409.295i | − | 0.0395363i | ||||||
\(476\) | 3767.75 | − | 4328.02i | 0.362804 | − | 0.416753i | ||||
\(477\) | −7784.12 | + | 2626.12i | −0.747191 | + | 0.252080i | ||||
\(478\) | −192.683 | + | 333.738i | −0.0184375 | + | 0.0319347i | ||||
\(479\) | −9278.92 | − | 16071.6i | −0.885104 | − | 1.53305i | −0.845594 | − | 0.533826i | \(-0.820754\pi\) |
−0.0395099 | − | 0.999219i | \(-0.512580\pi\) | |||||||
\(480\) | 88.1448 | − | 886.450i | 0.00838175 | − | 0.0842932i | ||||
\(481\) | 18884.0 | + | 10902.7i | 1.79010 | + | 1.03351i | ||||
\(482\) | 239.129 | 0.0225976 | ||||||||
\(483\) | −9583.06 | − | 10176.3i | −0.902783 | − | 0.958671i | ||||
\(484\) | −8880.20 | −0.833978 | ||||||||
\(485\) | −6343.70 | − | 3662.54i | −0.593923 | − | 0.342902i | ||||
\(486\) | 356.444 | + | 579.231i | 0.0332688 | + | 0.0540626i | ||||
\(487\) | 1996.72 | + | 3458.43i | 0.185791 | + | 0.321799i | 0.943843 | − | 0.330395i | \(-0.107182\pi\) |
−0.758052 | + | 0.652194i | \(0.773849\pi\) | |||||||
\(488\) | −462.493 | + | 801.061i | −0.0429018 | + | 0.0743080i | ||||
\(489\) | −10708.6 | + | 14914.3i | −0.990302 | + | 1.37924i | ||||
\(490\) | −304.985 | + | 42.4165i | −0.0281180 | + | 0.00391058i | ||||
\(491\) | 2371.47i | 0.217970i | 0.994043 | + | 0.108985i | \(0.0347600\pi\) | ||||
−0.994043 | + | 0.108985i | \(0.965240\pi\) | |||||||
\(492\) | 7315.55 | + | 16186.0i | 0.670346 | + | 1.48317i | ||||
\(493\) | −8295.19 | + | 4789.23i | −0.757803 | + | 0.437518i | ||||
\(494\) | 159.354 | − | 92.0029i | 0.0145135 | − | 0.00837936i | ||||
\(495\) | −1314.68 | + | 6545.32i | −0.119374 | + | 0.594323i | ||||
\(496\) | 9368.45i | 0.848097i | ||||||||
\(497\) | −2546.10 | + | 13048.5i | −0.229795 | + | 1.17768i | ||||
\(498\) | 68.9573 | + | 49.5117i | 0.00620492 | + | 0.00445517i | ||||
\(499\) | 8969.97 | − | 15536.4i | 0.804711 | − | 1.39380i | −0.111774 | − | 0.993734i | \(-0.535653\pi\) |
0.916486 | − | 0.400068i | \(-0.131013\pi\) | |||||||
\(500\) | −497.985 | − | 862.536i | −0.0445412 | − | 0.0771475i | ||||
\(501\) | −12811.5 | − | 1273.92i | −1.14247 | − | 0.113602i | ||||
\(502\) | −72.3172 | − | 41.7524i | −0.00642963 | − | 0.00371215i | ||||
\(503\) | −16933.2 | −1.50102 | −0.750509 | − | 0.660860i | \(-0.770192\pi\) | ||||
−0.750509 | + | 0.660860i | \(0.770192\pi\) | |||||||
\(504\) | 546.265 | − | 1325.45i | 0.0482790 | − | 0.117143i | ||||
\(505\) | 1041.42 | 0.0917678 | ||||||||
\(506\) | −1116.90 | − | 644.844i | −0.0981273 | − | 0.0566538i | ||||
\(507\) | −8901.24 | − | 885.101i | −0.779720 | − | 0.0775320i | ||||
\(508\) | −3626.23 | − | 6280.81i | −0.316708 | − | 0.548555i | ||||
\(509\) | −7744.16 | + | 13413.3i | −0.674369 | + | 1.16804i | 0.302284 | + | 0.953218i | \(0.402251\pi\) |
−0.976653 | + | 0.214823i | \(0.931083\pi\) | |||||||
\(510\) | −147.347 | − | 105.796i | −0.0127934 | − | 0.00918575i | ||||
\(511\) | 1706.70 | − | 586.294i | 0.147749 | − | 0.0507556i | ||||
\(512\) | − | 3618.08i | − | 0.312301i | ||||||
\(513\) | 1565.44 | + | 1680.82i | 0.134728 | + | 0.144659i | ||||
\(514\) | −497.400 | + | 287.174i | −0.0426836 | + | 0.0246434i | ||||
\(515\) | 2618.78 | − | 1511.95i | 0.224072 | − | 0.129368i | ||||
\(516\) | −1254.35 | − | 2775.32i | −0.107015 | − | 0.236776i | ||||
\(517\) | 12276.9i | 1.04437i | ||||||||
\(518\) | −1095.48 | + | 376.323i | −0.0929198 | + | 0.0319203i | ||||
\(519\) | 8674.34 | − | 12081.1i | 0.733644 | − | 1.02178i | ||||
\(520\) | 448.661 | − | 777.104i | 0.0378367 | − | 0.0655351i | ||||
\(521\) | −8598.07 | − | 14892.3i | −0.723010 | − | 1.25229i | −0.959788 | − | 0.280726i | \(-0.909425\pi\) |
0.236778 | − | 0.971564i | \(-0.423909\pi\) | |||||||
\(522\) | −788.996 | + | 896.291i | −0.0661560 | + | 0.0751524i | ||||
\(523\) | 10434.4 | + | 6024.30i | 0.872398 | + | 0.503679i | 0.868144 | − | 0.496312i | \(-0.165313\pi\) |
0.00425361 | + | 0.999991i | \(0.498646\pi\) | |||||||
\(524\) | −5198.40 | −0.433384 | ||||||||
\(525\) | −552.660 | − | 2341.51i | −0.0459430 | − | 0.194652i | ||||
\(526\) | −1352.25 | −0.112093 | ||||||||
\(527\) | 4989.89 | + | 2880.91i | 0.412453 | + | 0.238130i | ||||
\(528\) | −1607.60 | + | 16167.2i | −0.132503 | + | 1.33255i | ||||
\(529\) | 4465.70 | + | 7734.81i | 0.367033 | + | 0.635721i | ||||
\(530\) | 136.574 | − | 236.553i | 0.0111932 | − | 0.0193872i | ||||
\(531\) | −5803.96 | − | 17203.6i | −0.474332 | − | 1.40597i | ||||
\(532\) | 462.679 | − | 2371.19i | 0.0377062 | − | 0.193241i | ||||
\(533\) | 26856.1i | 2.18249i | ||||||||
\(534\) | 558.550 | − | 252.447i | 0.0452637 | − | 0.0204577i | ||||
\(535\) | −1306.98 | + | 754.585i | −0.105618 | + | 0.0609786i | ||||
\(536\) | −514.158 | + | 296.849i | −0.0414333 | + | 0.0239215i | ||||
\(537\) | 12112.5 | − | 5474.43i | 0.973354 | − | 0.439924i | ||||
\(538\) | − | 1274.54i | − | 0.102137i | ||||||
\(539\) | 16800.4 | − | 2336.55i | 1.34257 | − | 0.186721i | ||||
\(540\) | 5343.99 | + | 1637.47i | 0.425868 | + | 0.130491i | ||||
\(541\) | −9360.33 | + | 16212.6i | −0.743867 | + | 1.28841i | 0.206856 | + | 0.978371i | \(0.433677\pi\) |
−0.950722 | + | 0.310043i | \(0.899656\pi\) | |||||||
\(542\) | 363.126 | + | 628.952i | 0.0287778 | + | 0.0498447i | ||||
\(543\) | 1358.88 | − | 13665.9i | 0.107394 | − | 1.08004i | ||||
\(544\) | −1154.69 | − | 666.663i | −0.0910057 | − | 0.0525422i | ||||
\(545\) | −1313.15 | −0.103210 | ||||||||
\(546\) | 787.408 | − | 741.505i | 0.0617179 | − | 0.0581199i | ||||
\(547\) | −3583.85 | −0.280136 | −0.140068 | − | 0.990142i | \(-0.544732\pi\) | ||||
−0.140068 | + | 0.990142i | \(0.544732\pi\) | |||||||
\(548\) | −7503.39 | − | 4332.09i | −0.584907 | − | 0.337696i | ||||
\(549\) | −6538.70 | − | 5755.96i | −0.508315 | − | 0.447465i | ||||
\(550\) | −110.987 | − | 192.234i | −0.00860451 | − | 0.0149035i | ||||
\(551\) | −2016.35 | + | 3492.42i | −0.155897 | + | 0.270022i | ||||
\(552\) | −1262.03 | + | 1757.69i | −0.0973111 | + | 0.135530i | ||||
\(553\) | 10944.6 | − | 12572.1i | 0.841611 | − | 0.966761i | ||||
\(554\) | 970.787i | 0.0744491i | ||||||||
\(555\) | −3727.35 | − | 8246.94i | −0.285076 | − | 0.630744i | ||||
\(556\) | 9869.24 | − | 5698.01i | 0.752786 | − | 0.434621i | ||||
\(557\) | −4699.85 | + | 2713.46i | −0.357521 | + | 0.206415i | −0.667993 | − | 0.744168i | \(-0.732846\pi\) |
0.310472 | + | 0.950583i | \(0.399513\pi\) | |||||||
\(558\) | 704.228 | + | 141.449i | 0.0534271 | + | 0.0107312i | ||||
\(559\) | − | 4604.86i | − | 0.348417i | ||||||
\(560\) | −1902.21 | − | 5537.32i | −0.143541 | − | 0.417847i | ||||
\(561\) | 8116.74 | + | 5827.87i | 0.610854 | + | 0.438597i | ||||
\(562\) | 371.239 | − | 643.005i | 0.0278644 | − | 0.0482625i | ||||
\(563\) | −2139.26 | − | 3705.31i | −0.160140 | − | 0.277371i | 0.774778 | − | 0.632233i | \(-0.217861\pi\) |
−0.934919 | + | 0.354861i | \(0.884528\pi\) | |||||||
\(564\) | 10227.9 | + | 1017.02i | 0.763602 | + | 0.0759293i | ||||
\(565\) | −4432.74 | − | 2559.24i | −0.330065 | − | 0.190563i | ||||
\(566\) | 186.313 | 0.0138362 | ||||||||
\(567\) | 11225.2 | + | 7501.97i | 0.831417 | + | 0.555649i | ||||
\(568\) | 2058.01 | 0.152029 | ||||||||
\(569\) | −1280.49 | − | 739.294i | −0.0943429 | − | 0.0544689i | 0.452086 | − | 0.891974i | \(-0.350680\pi\) |
−0.546429 | + | 0.837505i | \(0.684013\pi\) | |||||||
\(570\) | −75.9954 | − | 7.55666i | −0.00558438 | − | 0.000555287i | ||||
\(571\) | −6225.67 | − | 10783.2i | −0.456281 | − | 0.790302i | 0.542480 | − | 0.840069i | \(-0.317485\pi\) |
−0.998761 | + | 0.0497671i | \(0.984152\pi\) | |||||||
\(572\) | −12332.5 | + | 21360.5i | −0.901482 | + | 1.56141i | ||||
\(573\) | 2764.66 | + | 1985.04i | 0.201563 | + | 0.144723i | ||||
\(574\) | −1076.01 | − | 936.715i | −0.0782433 | − | 0.0681145i | ||||
\(575\) | 3631.32i | 0.263368i | ||||||||
\(576\) | 13226.7 | + | 2656.69i | 0.956794 | + | 0.192179i | ||||
\(577\) | 4436.35 | − | 2561.33i | 0.320083 | − | 0.184800i | −0.331347 | − | 0.943509i | \(-0.607503\pi\) |
0.651429 | + | 0.758709i | \(0.274170\pi\) | |||||||
\(578\) | 528.802 | − | 305.304i | 0.0380541 | − | 0.0219705i | ||||
\(579\) | −4713.28 | − | 10428.4i | −0.338302 | − | 0.748511i | ||||
\(580\) | 9813.07i | 0.702527i | ||||||||
\(581\) | 1654.01 | + | 322.740i | 0.118107 | + | 0.0230456i | ||||
\(582\) | −797.158 | + | 1110.24i | −0.0567754 | + | 0.0790736i | ||||
\(583\) | −7523.29 | + | 13030.7i | −0.534448 | + | 0.925690i | ||||
\(584\) | −139.676 | − | 241.926i | −0.00989697 | − | 0.0171421i | ||||
\(585\) | 6343.15 | + | 5583.82i | 0.448302 | + | 0.394636i | ||||
\(586\) | 337.175 | + | 194.668i | 0.0237689 | + | 0.0137230i | ||||
\(587\) | −2528.30 | −0.177775 | −0.0888875 | − | 0.996042i | \(-0.528331\pi\) | ||||
−0.0888875 | + | 0.996042i | \(0.528331\pi\) | |||||||
\(588\) | −554.837 | − | 14189.9i | −0.0389134 | − | 0.995210i | ||||
\(589\) | 2425.83 | 0.169702 | ||||||||
\(590\) | 522.802 | + | 301.840i | 0.0364804 | + | 0.0210620i | ||||
\(591\) | 1758.12 | − | 17680.9i | 0.122368 | − | 1.23062i | ||||
\(592\) | −11012.3 | − | 19073.9i | −0.764533 | − | 1.32421i | ||||
\(593\) | 11741.2 | − | 20336.4i | 0.813078 | − | 1.40829i | −0.0976220 | − | 0.995224i | \(-0.531124\pi\) |
0.910700 | − | 0.413069i | \(-0.135543\pi\) | |||||||
\(594\) | 1191.02 | + | 364.944i | 0.0822696 | + | 0.0252085i | ||||
\(595\) | −3534.27 | − | 689.626i | −0.243514 | − | 0.0475158i | ||||
\(596\) | 11925.0i | 0.819577i | ||||||||
\(597\) | −8914.41 | + | 4029.02i | −0.611127 | + | 0.276209i | ||||
\(598\) | −1413.81 | + | 816.261i | −0.0966803 | + | 0.0558184i | ||||
\(599\) | 7652.66 | − | 4418.26i | 0.522002 | − | 0.301378i | −0.215752 | − | 0.976448i | \(-0.569220\pi\) |
0.737753 | + | 0.675070i | \(0.235887\pi\) | |||||||
\(600\) | −339.374 | + | 153.386i | −0.0230915 | + | 0.0104366i | ||||
\(601\) | 13214.2i | 0.896872i | 0.893815 | + | 0.448436i | \(0.148019\pi\) | ||||
−0.893815 | + | 0.448436i | \(0.851981\pi\) | |||||||
\(602\) | 184.496 | + | 160.613i | 0.0124909 | + | 0.0108739i | ||||
\(603\) | −1787.35 | − | 5297.89i | −0.120707 | − | 0.357789i | ||||
\(604\) | 5930.05 | − | 10271.2i | 0.399488 | − | 0.691933i | ||||
\(605\) | 2786.29 | + | 4826.00i | 0.187238 | + | 0.324305i | ||||
\(606\) | 19.2274 | − | 193.365i | 0.00128888 | − | 0.0129619i | ||||
\(607\) | −11205.2 | − | 6469.35i | −0.749270 | − | 0.432591i | 0.0761601 | − | 0.997096i | \(-0.475734\pi\) |
−0.825430 | + | 0.564504i | \(0.809067\pi\) | |||||||
\(608\) | −561.353 | −0.0374438 | ||||||||
\(609\) | −6819.49 | + | 22702.2i | −0.453760 | + | 1.51057i | ||||
\(610\) | 289.642 | 0.0192250 | ||||||||
\(611\) | 13458.4 | + | 7770.22i | 0.891112 | + | 0.514484i | ||||
\(612\) | 5527.58 | − | 6279.27i | 0.365097 | − | 0.414746i | ||||
\(613\) | 6232.55 | + | 10795.1i | 0.410653 | + | 0.711271i | 0.994961 | − | 0.100260i | \(-0.0319675\pi\) |
−0.584308 | + | 0.811532i | \(0.698634\pi\) | |||||||
\(614\) | −6.60901 | + | 11.4471i | −0.000434394 | + | 0.000752393i | ||||
\(615\) | 6501.02 | − | 9054.27i | 0.426254 | − | 0.593664i | ||||
\(616\) | −853.074 | − | 2483.30i | −0.0557976 | − | 0.162427i | ||||
\(617\) | − | 11614.3i | − | 0.757817i | −0.925434 | − | 0.378908i | \(-0.876300\pi\) | ||
0.925434 | − | 0.378908i | \(-0.123700\pi\) | |||||||
\(618\) | −232.380 | − | 514.152i | −0.0151257 | − | 0.0334664i | ||||
\(619\) | −557.917 | + | 322.114i | −0.0362271 | + | 0.0209157i | −0.518004 | − | 0.855378i | \(-0.673325\pi\) |
0.481777 | + | 0.876294i | \(0.339992\pi\) | |||||||
\(620\) | 5112.11 | − | 2951.48i | 0.331141 | − | 0.191184i | ||||
\(621\) | −13888.7 | − | 14912.5i | −0.897482 | − | 0.963636i | ||||
\(622\) | 206.598i | 0.0133180i | ||||||||
\(623\) | 7989.45 | − | 9177.49i | 0.513789 | − | 0.590190i | ||||
\(624\) | 16705.7 | + | 11994.8i | 1.07173 | + | 0.769511i | ||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −285.840 | − | 495.089i | −0.0182499 | − | 0.0316098i | ||||
\(627\) | 4186.27 | + | 416.265i | 0.266641 | + | 0.0265136i | ||||
\(628\) | 13457.2 | + | 7769.52i | 0.855097 | + | 0.493690i | ||||
\(629\) | −13545.7 | −0.858667 | ||||||||
\(630\) | −444.961 | + | 59.3840i | −0.0281392 | + | 0.00375542i | ||||
\(631\) | −5187.93 | −0.327303 | −0.163651 | − | 0.986518i | \(-0.552327\pi\) | ||||
−0.163651 | + | 0.986518i | \(0.552327\pi\) | |||||||
\(632\) | −2234.60 | − | 1290.15i | −0.140645 | − | 0.0812016i | ||||
\(633\) | 1579.01 | + | 157.010i | 0.0991469 | + | 0.00985875i | ||||
\(634\) | −139.749 | − | 242.053i | −0.00875420 | − | 0.0151627i | ||||
\(635\) | −2275.56 | + | 3941.39i | −0.142209 | + | 0.246314i | ||||
\(636\) | 10232.7 | + | 7347.11i | 0.637973 | + | 0.458069i | ||||
\(637\) | 8071.77 | − | 19896.1i | 0.502065 | − | 1.23754i | ||||
\(638\) | 2187.05i | 0.135715i | ||||||||
\(639\) | −3816.74 | + | 19002.2i | −0.236288 | + | 1.17640i | ||||
\(640\) | −1576.23 | + | 910.036i | −0.0973529 | + | 0.0562067i | ||||
\(641\) | −23594.4 | + | 13622.2i | −1.45386 | + | 0.839386i | −0.998697 | − | 0.0510236i | \(-0.983752\pi\) |
−0.455161 | + | 0.890409i | \(0.650418\pi\) | |||||||
\(642\) | 115.976 | + | 256.603i | 0.00712963 | + | 0.0157747i | ||||
\(643\) | 4565.15i | 0.279988i | 0.990152 | + | 0.139994i | \(0.0447082\pi\) | ||||
−0.990152 | + | 0.139994i | \(0.955292\pi\) | |||||||
\(644\) | −4104.95 | + | 21037.5i | −0.251176 | + | 1.28726i | ||||
\(645\) | −1114.69 | + | 1552.48i | −0.0680479 | + | 0.0947734i | ||||
\(646\) | −57.1530 | + | 98.9919i | −0.00348089 | + | 0.00602908i | ||||
\(647\) | −562.956 | − | 975.068i | −0.0342072 | − | 0.0592487i | 0.848415 | − | 0.529332i | \(-0.177557\pi\) |
−0.882622 | + | 0.470083i | \(0.844224\pi\) | |||||||
\(648\) | 807.026 | − | 1927.90i | 0.0489244 | − | 0.116875i | ||||
\(649\) | −28799.0 | − | 16627.1i | −1.74185 | − | 1.00566i | ||||
\(650\) | −280.979 | −0.0169553 | ||||||||
\(651\) | 13877.8 | − | 3275.53i | 0.835503 | − | 0.197201i | ||||
\(652\) | 28154.0 | 1.69110 | ||||||||
\(653\) | −3387.69 | − | 1955.88i | −0.203017 | − | 0.117212i | 0.395045 | − | 0.918662i | \(-0.370729\pi\) |
−0.598062 | + | 0.801450i | \(0.704062\pi\) | |||||||
\(654\) | −24.2442 | + | 243.818i | −0.00144958 | + | 0.0145780i | ||||
\(655\) | 1631.07 | + | 2825.10i | 0.0972996 | + | 0.168528i | ||||
\(656\) | 13563.1 | − | 23492.0i | 0.807241 | − | 1.39818i | ||||
\(657\) | 2492.81 | − | 840.998i | 0.148027 | − | 0.0499398i | ||||
\(658\) | −780.734 | + | 268.202i | −0.0462556 | + | 0.0158900i | ||||
\(659\) | 18666.6i | 1.10341i | 0.834039 | + | 0.551706i | \(0.186023\pi\) | ||||
−0.834039 | + | 0.551706i | \(0.813977\pi\) | |||||||
\(660\) | 9328.48 | − | 4216.17i | 0.550167 | − | 0.248658i | ||||
\(661\) | −3327.09 | + | 1920.90i | −0.195777 | + | 0.113032i | −0.594684 | − | 0.803959i | \(-0.702723\pi\) |
0.398907 | + | 0.916991i | \(0.369390\pi\) | |||||||
\(662\) | 1535.65 | − | 886.608i | 0.0901582 | − | 0.0520528i | ||||
\(663\) | 11525.9 | − | 5209.34i | 0.675158 | − | 0.305150i | ||||
\(664\) | − | 260.870i | − | 0.0152466i | ||||||
\(665\) | −1433.81 | + | 492.549i | −0.0836101 | + | 0.0287222i | ||||
\(666\) | −1600.06 | + | 539.810i | −0.0930945 | + | 0.0314073i | ||||
\(667\) | 17889.3 | − | 30985.2i | 1.03849 | − | 1.79873i | ||||
\(668\) | 9871.00 | + | 17097.1i | 0.571737 | + | 0.990278i | ||||
\(669\) | 375.944 | − | 3780.78i | 0.0217262 | − | 0.218495i | ||||
\(670\) | 160.999 | + | 92.9526i | 0.00928346 | + | 0.00535981i | ||||
\(671\) | −15955.2 | −0.917946 | ||||||||
\(672\) | −3211.41 | + | 757.979i | −0.184349 | + | 0.0435114i | ||||
\(673\) | −4342.23 | −0.248708 | −0.124354 | − | 0.992238i | \(-0.539686\pi\) | ||||
−0.124354 | + | 0.992238i | \(0.539686\pi\) | |||||||
\(674\) | −1007.11 | − | 581.454i | −0.0575554 | − | 0.0332296i | ||||
\(675\) | −786.862 | − | 3418.00i | −0.0448686 | − | 0.194902i | ||||
\(676\) | 6858.22 | + | 11878.8i | 0.390204 | + | 0.675853i | ||||
\(677\) | 14682.9 | − | 25431.5i | 0.833545 | − | 1.44374i | −0.0616645 | − | 0.998097i | \(-0.519641\pi\) |
0.895210 | − | 0.445645i | \(-0.147026\pi\) | |||||||
\(678\) | −557.024 | + | 775.793i | −0.0315522 | + | 0.0439442i | ||||
\(679\) | −5196.23 | + | 26630.2i | −0.293686 | + | 1.50512i | ||||
\(680\) | 557.425i | 0.0314357i | ||||||||
\(681\) | −4358.61 | − | 9643.64i | −0.245260 | − | 0.542650i | ||||
\(682\) | 1139.34 | − | 657.799i | 0.0639701 | − | 0.0369332i | ||||
\(683\) | −882.634 | + | 509.589i | −0.0494481 | + | 0.0285489i | −0.524520 | − | 0.851398i | \(-0.675755\pi\) |
0.475072 | + | 0.879947i | \(0.342422\pi\) | |||||||
\(684\) | 693.580 | − | 3453.10i | 0.0387715 | − | 0.193030i | ||||
\(685\) | 5437.02i | 0.303267i | ||||||||
\(686\) | 515.611 | + | 1017.35i | 0.0286970 | + | 0.0566221i | ||||
\(687\) | −2603.83 | − | 1869.57i | −0.144603 | − | 0.103826i | ||||
\(688\) | −2325.58 | + | 4028.03i | −0.128869 | + | 0.223208i | ||||
\(689\) | 9523.18 | + | 16494.6i | 0.526567 | + | 0.912040i | ||||
\(690\) | 674.241 | + | 67.0436i | 0.0371999 | + | 0.00369900i | ||||
\(691\) | −5810.40 | − | 3354.64i | −0.319881 | − | 0.184684i | 0.331458 | − | 0.943470i | \(-0.392459\pi\) |
−0.651340 | + | 0.758786i | \(0.725793\pi\) | |||||||
\(692\) | −22805.8 | −1.25281 | ||||||||
\(693\) | 24511.1 | − | 3271.22i | 1.34358 | − | 0.179312i | ||||
\(694\) | 285.799 | 0.0156322 | ||||||||
\(695\) | −6193.23 | − | 3575.66i | −0.338018 | − | 0.195155i | ||||
\(696\) | 3651.43 | + | 363.083i | 0.198861 | + | 0.0197739i | ||||
\(697\) | −8341.64 | − | 14448.1i | −0.453317 | − | 0.785169i | ||||
\(698\) | 469.385 | − | 812.999i | 0.0254534 | − | 0.0440866i | ||||
\(699\) | 18565.1 | + | 13329.8i | 1.00457 | + | 0.721288i | ||||
\(700\) | −2422.28 | + | 2782.48i | −0.130791 | + | 0.150240i | ||||
\(701\) | 5594.42i | 0.301424i | 0.988578 | + | 0.150712i | \(0.0481567\pi\) | ||||
−0.988578 | + | 0.150712i | \(0.951843\pi\) | |||||||
\(702\) | 1153.88 | − | 1074.66i | 0.0620375 | − | 0.0577786i | ||||
\(703\) | −4938.91 | + | 2851.48i | −0.264971 | + | 0.152981i | ||||
\(704\) | 21399.0 | − | 12354.7i | 1.14560 | − | 0.661414i | ||||
\(705\) | −2656.44 | − | 5877.50i | −0.141911 | − | 0.313985i | ||||
\(706\) | 246.522i | 0.0131416i | ||||||||
\(707\) | −1253.26 | − | 3648.23i | −0.0666670 | − | 0.194067i | ||||
\(708\) | −16237.7 | + | 22615.0i | −0.861937 | + | 1.20046i | ||||
\(709\) | 11154.0 | − | 19319.3i | 0.590829 | − | 1.02335i | −0.403292 | − | 0.915071i | \(-0.632134\pi\) |
0.994121 | − | 0.108275i | \(-0.0345326\pi\) | |||||||
\(710\) | −322.214 | − | 558.091i | −0.0170316 | − | 0.0294997i | ||||
\(711\) | 16056.6 | − | 18240.1i | 0.846931 | − | 0.962104i | ||||
\(712\) | −1631.24 | − | 941.797i | −0.0858614 | − | 0.0495721i | ||||
\(713\) | −21522.2 | −1.13045 | ||||||||
\(714\) | −193.297 | + | 643.489i | −0.0101316 | + | 0.0337283i | ||||
\(715\) | 15478.0 | 0.809572 | ||||||||
\(716\) | −17651.4 | − | 10191.1i | −0.921320 | − | 0.531924i | ||||
\(717\) | −1103.54 | + | 11098.0i | −0.0574789 | + | 0.578051i | ||||
\(718\) | 347.630 | + | 602.113i | 0.0180689 | + | 0.0312962i | ||||
\(719\) | 834.477 | − | 1445.36i | 0.0432834 | − | 0.0749690i | −0.843572 | − | 0.537016i | \(-0.819551\pi\) |
0.886855 | + | 0.462047i | \(0.152885\pi\) | |||||||
\(720\) | −2728.59 | − | 8087.82i | −0.141234 | − | 0.418632i | ||||
\(721\) | −8447.99 | − | 7354.38i | −0.436366 | − | 0.379877i | ||||
\(722\) | − | 1183.38i | − | 0.0609984i | ||||||
\(723\) | 6306.34 | − | 2850.26i | 0.324392 | − | 0.146614i | ||||
\(724\) | −18237.3 | + | 10529.3i | −0.936165 | + | 0.540495i | ||||
\(725\) | 5332.97 | − | 3078.99i | 0.273188 | − | 0.157725i | ||||
\(726\) | 947.503 | − | 428.240i | 0.0484368 | − | 0.0218919i | ||||
\(727\) | − | 3454.28i | − | 0.176220i | −0.996111 | − | 0.0881101i | \(-0.971917\pi\) | ||
0.996111 | − | 0.0881101i | \(-0.0280827\pi\) | |||||||
\(728\) | −3262.21 | − | 636.539i | −0.166079 | − | 0.0324062i | ||||
\(729\) | 16304.2 | + | 11026.9i | 0.828339 | + | 0.560227i | ||||
\(730\) | −43.7368 | + | 75.7544i | −0.00221750 | + | 0.00384082i | ||||
\(731\) | 1430.29 | + | 2477.34i | 0.0723683 | + | 0.125346i | ||||
\(732\) | −1321.72 | + | 13292.2i | −0.0667381 | + | 0.671168i | ||||
\(733\) | −18503.8 | − | 10683.2i | −0.932407 | − | 0.538325i | −0.0448350 | − | 0.998994i | \(-0.514276\pi\) |
−0.887572 | + | 0.460669i | \(0.847610\pi\) | |||||||
\(734\) | −444.046 | −0.0223298 | ||||||||
\(735\) | −7537.52 | + | 4753.83i | −0.378266 | + | 0.238568i | ||||
\(736\) | 4980.39 | 0.249429 | ||||||||
\(737\) | −8868.75 | − | 5120.37i | −0.443263 | − | 0.255918i | ||||
\(738\) | −1561.11 | − | 1374.23i | −0.0778664 | − | 0.0685450i | ||||
\(739\) | 7060.64 | + | 12229.4i | 0.351461 | + | 0.608749i | 0.986506 | − | 0.163727i | \(-0.0523516\pi\) |
−0.635044 | + | 0.772476i | \(0.719018\pi\) | |||||||
\(740\) | −6938.73 | + | 12018.2i | −0.344693 | + | 0.597026i | ||||
\(741\) | 3105.87 | − | 4325.69i | 0.153977 | − | 0.214451i | ||||
\(742\) | −993.026 | − | 193.765i | −0.0491309 | − | 0.00958668i | ||||
\(743\) | − | 17755.4i | − | 0.876690i | −0.898807 | − | 0.438345i | \(-0.855565\pi\) | ||
0.898807 | − | 0.438345i | \(-0.144435\pi\) | |||||||
\(744\) | −909.093 | − | 2011.41i | −0.0447970 | − | 0.0991155i | ||||
\(745\) | 6480.72 | − | 3741.65i | 0.318705 | − | 0.184004i | ||||
\(746\) | −1813.62 | + | 1047.09i | −0.0890097 | + | 0.0513898i | ||||
\(747\) | 2408.69 | + | 483.804i | 0.117978 | + | 0.0236967i | ||||
\(748\) | − | 15322.1i | − | 0.748974i | ||||||
\(749\) | 4216.23 | + | 3670.43i | 0.205684 | + | 0.179058i | ||||
\(750\) | 94.7293 | + | 68.0162i | 0.00461203 | + | 0.00331147i | ||||
\(751\) | −14989.4 | + | 25962.4i | −0.728322 | + | 1.26149i | 0.229269 | + | 0.973363i | \(0.426366\pi\) |
−0.957592 | + | 0.288128i | \(0.906967\pi\) | |||||||
\(752\) | −7848.36 | − | 13593.8i | −0.380585 | − | 0.659193i | ||||
\(753\) | −2404.81 | − | 239.124i | −0.116383 | − | 0.0115726i | ||||
\(754\) | 2397.53 | + | 1384.21i | 0.115799 | + | 0.0668569i | ||||
\(755\) | −7442.56 | −0.358758 | ||||||||
\(756\) | −694.758 | − | 20691.1i | −0.0334234 | − | 0.995409i | ||||
\(757\) | 36382.4 | 1.74682 | 0.873409 | − | 0.486987i | \(-0.161904\pi\) | ||||
0.873409 | + | 0.486987i | \(0.161904\pi\) | |||||||
\(758\) | 1645.56 | + | 950.062i | 0.0788513 | + | 0.0455248i | ||||
\(759\) | −37141.1 | − | 3693.16i | −1.77620 | − | 0.176618i | ||||
\(760\) | 117.343 | + | 203.243i | 0.00560061 | + | 0.00970055i | ||||
\(761\) | 495.120 | − | 857.573i | 0.0235849 | − | 0.0408502i | −0.853992 | − | 0.520286i | \(-0.825825\pi\) |
0.877577 | + | 0.479436i | \(0.159159\pi\) | |||||||
\(762\) | 689.799 | + | 495.280i | 0.0327937 | + | 0.0235461i | ||||
\(763\) | 1580.26 | + | 4600.12i | 0.0749792 | + | 0.218264i | ||||
\(764\) | − | 5218.90i | − | 0.247138i | ||||||
\(765\) | −5146.86 | − | 1033.79i | −0.243249 | − | 0.0488583i | ||||
\(766\) | −568.464 | + | 328.203i | −0.0268139 | + | 0.0154810i | ||||
\(767\) | −36454.6 | + | 21047.1i | −1.71616 | + | 0.990828i | ||||
\(768\) | −8414.60 | − | 18617.7i | −0.395359 | − | 0.874751i | ||||
\(769\) | 19740.5i | 0.925699i | 0.886437 | + | 0.462849i | \(0.153173\pi\) | ||||
−0.886437 | + | 0.462849i | \(0.846827\pi\) | |||||||
\(770\) | −539.857 | + | 620.135i | −0.0252663 | + | 0.0290235i | ||||
\(771\) | −9694.55 | + | 13502.0i | −0.452841 | + | 0.630693i | ||||
\(772\) | −8774.11 | + | 15197.2i | −0.409051 | + | 0.708497i | ||||
\(773\) | 7352.93 | + | 12735.6i | 0.342130 | + | 0.592587i | 0.984828 | − | 0.173533i | \(-0.0555183\pi\) |
−0.642698 | + | 0.766120i | \(0.722185\pi\) | |||||||
\(774\) | 267.675 | + | 235.632i | 0.0124307 | + | 0.0109426i | ||||
\(775\) | −3207.99 | − | 1852.14i | −0.148690 | − | 0.0858460i | ||||
\(776\) | 4200.11 | 0.194298 | ||||||||
\(777\) | −24404.5 | + | 22981.7i | −1.12678 | + | 1.06109i | ||||
\(778\) | 100.640 | 0.00463767 | ||||||||
\(779\) | −6082.91 | − | 3511.97i | −0.279773 | − | 0.161527i | ||||
\(780\) | 1282.19 | − | 12894.7i | 0.0588589 | − | 0.591929i | ||||
\(781\) | 17749.4 | + | 30742.9i | 0.813220 | + | 1.40854i | ||||
\(782\) | 507.069 | − | 878.269i | 0.0231877 | − | 0.0401622i | ||||
\(783\) | −10124.3 | + | 33041.3i | −0.462085 | + | 1.50805i | ||||
\(784\) | −17108.7 | + | 13327.3i | −0.779370 | + | 0.607111i | ||||
\(785\) | − | 9751.19i | − | 0.443357i | ||||||
\(786\) | 554.660 | − | 250.688i | 0.0251706 | − | 0.0113763i | ||||
\(787\) | −993.731 | + | 573.731i | −0.0450098 | + | 0.0259864i | −0.522336 | − | 0.852740i | \(-0.674939\pi\) |
0.477326 | + | 0.878726i | \(0.341606\pi\) | |||||||
\(788\) | −23595.4 | + | 13622.8i | −1.06669 | + | 0.615852i | ||||
\(789\) | −35661.6 | + | 16117.9i | −1.60911 | + | 0.727264i | ||||
\(790\) | 807.971i | 0.0363878i | ||||||||
\(791\) | −3630.93 | + | 18608.2i | −0.163213 | + | 0.836450i | ||||
\(792\) | −1223.68 | − | 3627.11i | −0.0549009 | − | 0.162732i | ||||
\(793\) | −10098.2 | + | 17490.7i | −0.452205 | + | 0.783243i | ||||
\(794\) | 253.503 | + | 439.080i | 0.0113306 | + | 0.0196252i | ||||
\(795\) | 782.187 | − | 7866.26i | 0.0348947 | − | 0.350927i | ||||
\(796\) | 12990.9 | + | 7500.32i | 0.578457 | + | 0.333972i | ||||
\(797\) | 7997.58 | 0.355444 | 0.177722 | − | 0.984081i | \(-0.443127\pi\) | ||||
0.177722 | + | 0.984081i | \(0.443127\pi\) | |||||||
\(798\) | 64.9816 | + | 275.314i | 0.00288261 | + | 0.0122131i | ||||
\(799\) | −9653.86 | −0.427446 | ||||||||
\(800\) | 742.351 | + | 428.597i | 0.0328076 | + | 0.0189415i | ||||
\(801\) | 11721.1 | − | 13315.1i | 0.517036 | − | 0.587347i | ||||
\(802\) | 383.842 | + | 664.833i | 0.0169002 | + | 0.0292719i | ||||
\(803\) | 2409.28 | − | 4173.00i | 0.105880 | − | 0.183390i | ||||
\(804\) | −5000.46 | + | 6964.37i | −0.219344 | + | 0.305491i | ||||
\(805\) | 12720.9 | − | 4369.96i | 0.556962 | − | 0.191330i | ||||
\(806\) | − | 1665.32i | − | 0.0727771i | ||||||
\(807\) | −15191.7 | − | 33612.3i | −0.662668 | − | 1.46618i | ||||
\(808\) | −517.139 | + | 298.570i | −0.0225159 | + | 0.0129996i | ||||
\(809\) | −15136.2 | + | 8738.91i | −0.657802 | + | 0.379782i | −0.791439 | − | 0.611248i | \(-0.790668\pi\) |
0.133637 | + | 0.991030i | \(0.457334\pi\) | |||||||
\(810\) | −649.160 | + | 82.9944i | −0.0281595 | + | 0.00360015i | ||||
\(811\) | 10945.9i | 0.473934i | 0.971518 | + | 0.236967i | \(0.0761534\pi\) | ||||
−0.971518 | + | 0.236967i | \(0.923847\pi\) | |||||||
\(812\) | 34376.3 | − | 11809.1i | 1.48568 | − | 0.510368i | ||||
\(813\) | 17073.1 | + | 12258.6i | 0.736505 | + | 0.528815i | ||||
\(814\) | −1546.44 | + | 2678.52i | −0.0665882 | + | 0.115334i | ||||
\(815\) | −8833.72 | − | 15300.5i | −0.379671 | − | 0.657609i | ||||
\(816\) | −12713.0 | − | 1264.13i | −0.545397 | − | 0.0542319i | ||||
\(817\) | 1043.00 | + | 602.177i | 0.0446634 | + | 0.0257864i | ||||
\(818\) | 2652.72 | 0.113386 | ||||||||
\(819\) | 11927.4 | − | 28940.4i | 0.508883 | − | 1.23475i | ||||
\(820\) | −17091.9 | −0.727897 | ||||||||
\(821\) | 24315.9 | + | 14038.8i | 1.03366 | + | 0.596781i | 0.918030 | − | 0.396511i | \(-0.129779\pi\) |
0.115626 | + | 0.993293i | \(0.463113\pi\) | |||||||
\(822\) | 1009.51 | + | 100.381i | 0.0428354 | + | 0.00425937i | ||||
\(823\) | −14894.6 | − | 25798.2i | −0.630854 | − | 1.09267i | −0.987378 | − | 0.158384i | \(-0.949372\pi\) |
0.356524 | − | 0.934286i | \(-0.383962\pi\) | |||||||
\(824\) | −866.935 | + | 1501.58i | −0.0366518 | + | 0.0634829i | ||||
\(825\) | −5218.24 | − | 3746.73i | −0.220213 | − | 0.158115i | ||||
\(826\) | 428.236 | − | 2194.67i | 0.0180390 | − | 0.0924484i | ||||
\(827\) | 12702.0i | 0.534091i | 0.963684 | + | 0.267045i | \(0.0860474\pi\) | ||||
−0.963684 | + | 0.267045i | \(0.913953\pi\) | |||||||
\(828\) | −6153.53 | + | 30636.3i | −0.258273 | + | 1.28585i | ||||
\(829\) | 26790.8 | − | 15467.7i | 1.12242 | − | 0.648027i | 0.180399 | − | 0.983593i | \(-0.442261\pi\) |
0.942017 | + | 0.335566i | \(0.108928\pi\) | |||||||
\(830\) | −70.7427 | + | 40.8433i | −0.00295845 | + | 0.00170806i | ||||
\(831\) | 11571.1 | + | 25601.7i | 0.483030 | + | 1.06873i | ||||
\(832\) | − | 31277.8i | − | 1.30332i | ||||||
\(833\) | 1837.33 | + | 13210.9i | 0.0764222 | + | 0.549495i | ||||
\(834\) | −778.250 | + | 1083.90i | −0.0323124 | + | 0.0450030i | ||||
\(835\) | 6194.33 | − | 10728.9i | 0.256723 | − | 0.444657i | ||||
\(836\) | −3225.44 | − | 5586.62i | −0.133438 | − | 0.231121i | ||||
\(837\) | 20257.9 | − | 4663.60i | 0.836578 | − | 0.192590i | ||||
\(838\) | 2139.77 | + | 1235.40i | 0.0882065 | + | 0.0509260i | ||||
\(839\) | 8109.35 | 0.333690 | 0.166845 | − | 0.985983i | \(-0.446642\pi\) | ||||
0.166845 | + | 0.985983i | \(0.446642\pi\) | |||||||
\(840\) | 945.733 | + | 1004.28i | 0.0388463 | + | 0.0412511i | ||||
\(841\) | −36284.2 | −1.48773 | ||||||||
\(842\) | 1044.98 | + | 603.318i | 0.0427699 | + | 0.0246932i | ||||
\(843\) | 2126.16 | − | 21382.3i | 0.0868671 | − | 0.873601i | ||||
\(844\) | −1216.59 | − | 2107.20i | −0.0496172 | − | 0.0859395i | ||||
\(845\) | 4303.73 | − | 7454.28i | 0.175210 | − | 0.303473i | ||||
\(846\) | −1140.34 | + | 384.717i | −0.0463425 | + | 0.0156346i | ||||
\(847\) | 13553.0 | − | 15568.3i | 0.549806 | − | 0.631563i | ||||
\(848\) | − | 19237.9i | − | 0.779048i | ||||||
\(849\) | 4913.45 | − | 2220.72i | 0.198621 | − | 0.0897702i | ||||
\(850\) | 151.162 | − | 87.2735i | 0.00609979 | − | 0.00352171i | ||||
\(851\) | 43818.6 | − | 25298.7i | 1.76508 | − | 1.01907i | ||||
\(852\) | 27082.3 | − | 12240.3i | 1.08899 | − | 0.492190i | ||||
\(853\) | − | 26381.8i | − | 1.05896i | −0.848321 | − | 0.529482i | \(-0.822386\pi\) | ||
0.848321 | − | 0.529482i | \(-0.177614\pi\) | |||||||
\(854\) | −348.557 | − | 1014.65i | −0.0139665 | − | 0.0406564i | ||||
\(855\) | −2094.23 | + | 706.528i | −0.0837673 | + | 0.0282605i | ||||
\(856\) | 432.671 | − | 749.407i | 0.0172761 | − | 0.0299231i | ||||
\(857\) | 7167.24 | + | 12414.0i | 0.285681 | + | 0.494813i | 0.972774 | − | 0.231756i | \(-0.0744470\pi\) |
−0.687093 | + | 0.726569i | \(0.741114\pi\) | |||||||
\(858\) | 285.764 | − | 2873.86i | 0.0113704 | − | 0.114349i | ||||
\(859\) | 30107.4 | + | 17382.5i | 1.19587 | + | 0.690435i | 0.959632 | − | 0.281260i | \(-0.0907523\pi\) |
0.236238 | + | 0.971695i | \(0.424086\pi\) | |||||||
\(860\) | 2930.65 | 0.116203 | ||||||||
\(861\) | −39541.5 | − | 11877.8i | −1.56512 | − | 0.470146i | ||||
\(862\) | −1013.74 | −0.0400558 | ||||||||
\(863\) | 37874.4 | + | 21866.8i | 1.49393 | + | 0.862519i | 0.999976 | − | 0.00697124i | \(-0.00221903\pi\) |
0.493951 | + | 0.869490i | \(0.335552\pi\) | |||||||
\(864\) | −4687.82 | + | 1079.19i | −0.184587 | + | 0.0424939i | ||||
\(865\) | 7155.65 | + | 12393.9i | 0.281271 | + | 0.487176i | ||||
\(866\) | 1333.32 | − | 2309.39i | 0.0523189 | − | 0.0906191i | ||||
\(867\) | 10306.6 | − | 14354.5i | 0.403726 | − | 0.562287i | ||||
\(868\) | −16491.3 | − | 14356.5i | −0.644875 | − | 0.561394i | ||||
\(869\) | − | 44507.8i | − | 1.73743i | ||||||
\(870\) | −473.227 | − | 1047.04i | −0.0184413 | − | 0.0408022i | ||||
\(871\) | −11226.3 | + | 6481.51i | −0.436726 | + | 0.252144i | ||||
\(872\) | 652.071 | − | 376.473i | 0.0253233 | − | 0.0146204i | ||||
\(873\) | −7789.42 | + | 38780.9i | −0.301984 | + | 1.50347i | ||||
\(874\) | − | 426.969i | − | 0.0165245i | ||||||
\(875\) | 2272.18 | + | 443.360i | 0.0877871 | + | 0.0171295i | ||||
\(876\) | −3276.94 | − | 2352.86i | −0.126390 | − | 0.0907486i | ||||
\(877\) | 4574.79 | − | 7923.76i | 0.176145 | − | 0.305093i | −0.764412 | − | 0.644729i | \(-0.776970\pi\) |
0.940557 | + | 0.339636i | \(0.110304\pi\) | |||||||
\(878\) | −697.413 | − | 1207.96i | −0.0268070 | − | 0.0464311i | ||||
\(879\) | 11212.3 | + | 1114.91i | 0.430242 | + | 0.0427814i | ||||
\(880\) | −13539.1 | − | 7816.82i | −0.518641 | − | 0.299438i | ||||
\(881\) | −20071.4 | −0.767561 | −0.383780 | − | 0.923424i | \(-0.625378\pi\) | ||||
−0.383780 | + | 0.923424i | \(0.625378\pi\) | |||||||
\(882\) | 743.499 | + | 1487.29i | 0.0283842 | + | 0.0567795i | ||||
\(883\) | −4977.24 | −0.189691 | −0.0948456 | − | 0.995492i | \(-0.530236\pi\) | ||||
−0.0948456 | + | 0.995492i | \(0.530236\pi\) | |||||||
\(884\) | −16796.7 | − | 9697.58i | −0.639066 | − | 0.368965i | ||||
\(885\) | 17385.1 | + | 1728.70i | 0.660332 | + | 0.0656606i | ||||
\(886\) | 1369.92 | + | 2372.76i | 0.0519449 | + | 0.0899713i | ||||
\(887\) | −9000.30 | + | 15589.0i | −0.340699 | + | 0.590109i | −0.984563 | − | 0.175032i | \(-0.943997\pi\) |
0.643863 | + | 0.765140i | \(0.277331\pi\) | |||||||
\(888\) | 4215.24 | + | 3026.57i | 0.159295 | + | 0.114375i | ||||
\(889\) | 16545.6 | + | 3228.46i | 0.624207 | + | 0.121799i | ||||
\(890\) | 589.812i | 0.0222141i | ||||||||
\(891\) | 35759.6 | − | 4571.82i | 1.34455 | − | 0.171899i | ||||
\(892\) | −5045.48 | + | 2913.01i | −0.189389 | + | 0.109344i | ||||
\(893\) | −3519.91 | + | 2032.22i | −0.131903 | + | 0.0761541i | ||||
\(894\) | −575.074 | − | 1272.38i | −0.0215138 | − | 0.0476004i | ||||
\(895\) | 12790.4i | 0.477693i | ||||||||
\(896\) | 5084.80 | + | 4426.56i | 0.189589 | + | 0.165046i | ||||
\(897\) | −27555.7 | + | 38378.1i | −1.02571 | + | 1.42855i | ||||
\(898\) | 1033.63 | − | 1790.30i | 0.0384107 | − | 0.0665292i | ||||
\(899\) | 18248.7 | + | 31607.6i | 0.677005 | + | 1.17261i | ||||
\(900\) | −3553.68 | + | 4036.94i | −0.131618 | + | 0.149516i | ||||
\(901\) | −10246.6 | − | 5915.89i | −0.378873 | − | 0.218742i | ||||
\(902\) | −3809.29 | −0.140616 | ||||||||
\(903\) | 6779.94 | + | 2036.62i | 0.249859 | + | 0.0750549i | ||||
\(904\) | 2934.88 | 0.107979 | ||||||||
\(905\) | 11444.4 | + | 6607.44i | 0.420359 | + | 0.242695i | ||||
\(906\) | −137.409 | + | 1381.89i | −0.00503875 | + | 0.0506734i | ||||
\(907\) | −22583.0 | − | 39115.0i | −0.826745 | − | 1.43196i | −0.900578 | − | 0.434694i | \(-0.856857\pi\) |
0.0738335 | − | 0.997271i | \(-0.476477\pi\) | |||||||
\(908\) | −8113.87 | + | 14053.6i | −0.296551 | + | 0.513641i | ||||
\(909\) | −1797.71 | − | 5328.61i | −0.0655955 | − | 0.194432i | ||||
\(910\) | 338.133 | + | 984.303i | 0.0123176 | + | 0.0358564i | ||||
\(911\) | − | 29037.5i | − | 1.05604i | −0.849231 | − | 0.528021i | \(-0.822934\pi\) | ||
0.849231 | − | 0.528021i | \(-0.177066\pi\) | |||||||
\(912\) | −4901.41 | + | 2215.28i | −0.177963 | + | 0.0804333i | ||||
\(913\) | 3896.92 | − | 2249.89i | 0.141259 | − | 0.0815558i | ||||
\(914\) | −1581.99 | + | 913.363i | −0.0572512 | + | 0.0330540i | ||||
\(915\) | 7638.45 | − | 3452.33i | 0.275977 | − | 0.124733i | ||||
\(916\) | 4915.31i | 0.177299i | ||||||||
\(917\) | 7933.80 | − | 9113.57i | 0.285711 | − | 0.328197i | ||||
\(918\) | −286.971 | + | 936.551i | −0.0103175 | + | 0.0336719i | ||||
\(919\) | 11445.0 | − | 19823.3i | 0.410811 | − | 0.711545i | −0.584168 | − | 0.811633i | \(-0.698579\pi\) |
0.994979 | + | 0.100088i | \(0.0319123\pi\) | |||||||
\(920\) | −1041.08 | − | 1803.20i | −0.0373080 | − | 0.0646194i | ||||
\(921\) | −37.8512 | + | 380.660i | −0.00135422 | + | 0.0136191i | ||||
\(922\) | 2459.06 | + | 1419.74i | 0.0878361 | + | 0.0507122i | ||||
\(923\) | 44935.4 | 1.60246 | ||||||||
\(924\) | −25995.7 | − | 27605.0i | −0.925536 | − | 0.982832i | ||||
\(925\) | 8708.51 | 0.309550 | ||||||||
\(926\) | −874.683 | − | 504.999i | −0.0310409 | − | 0.0179215i | ||||
\(927\) | −12256.7 | − | 10789.4i | −0.434264 | − | 0.382278i | ||||
\(928\) | −4222.87 | − | 7314.22i | −0.149378 | − | 0.258730i | ||||
\(929\) | 7562.34 | − | 13098.4i | 0.267075 | − | 0.462587i | −0.701030 | − | 0.713131i | \(-0.747276\pi\) |
0.968105 | + | 0.250545i | \(0.0806097\pi\) | |||||||
\(930\) | −403.121 | + | 561.445i | −0.0142138 | + | 0.0197962i | ||||
\(931\) | 3450.91 | + | 4430.06i | 0.121481 | + | 0.155950i | ||||
\(932\) | − | 35045.6i | − | 1.23171i | ||||||
\(933\) | 2462.51 | + | 5448.42i | 0.0864082 | + | 0.191182i | ||||
\(934\) | 2645.31 | − | 1527.27i | 0.0926738 | − | 0.0535052i | ||||
\(935\) | −8326.90 | + | 4807.54i | −0.291250 | + | 0.168153i | ||||
\(936\) | −4750.66 | − | 954.205i | −0.165898 | − | 0.0333218i | ||||
\(937\) | 36092.6i | 1.25837i | 0.777256 | + | 0.629185i | \(0.216611\pi\) | ||||
−0.777256 | + | 0.629185i | \(0.783389\pi\) | |||||||
\(938\) | 131.877 | − | 675.856i | 0.00459054 | − | 0.0235261i | ||||
\(939\) | −13439.3 | − | 9649.51i | −0.467066 | − | 0.335357i | ||||
\(940\) | −4945.16 | + | 8565.27i | −0.171589 | + | 0.297200i | ||||
\(941\) | 26123.6 | + | 45247.5i | 0.905001 | + | 1.56751i | 0.820916 | + | 0.571050i | \(0.193464\pi\) |
0.0840856 | + | 0.996459i | \(0.473203\pi\) | |||||||
\(942\) | −1810.54 | − | 180.032i | −0.0626227 | − | 0.00622693i | ||||
\(943\) | 53968.4 | + | 31158.7i | 1.86368 | + | 1.07600i | ||||
\(944\) | 42517.4 | 1.46592 | ||||||||
\(945\) | −11026.7 | + | 6869.71i | −0.379576 | + | 0.236478i | ||||
\(946\) | 653.156 | 0.0224481 | ||||||||
\(947\) | −3676.17 | − | 2122.44i | −0.126145 | − | 0.0728299i | 0.435600 | − | 0.900140i | \(-0.356536\pi\) |
−0.561745 | + | 0.827311i | \(0.689870\pi\) | |||||||
\(948\) | −37079.4 | − | 3687.02i | −1.27034 | − | 0.126317i | ||||
\(949\) | −3049.73 | − | 5282.30i | −0.104319 | − | 0.180686i | ||||
\(950\) | 36.7436 | − | 63.6418i | 0.00125486 | − | 0.00217349i | ||||
\(951\) | −6570.59 | − | 4717.73i | −0.224044 | − | 0.160865i | ||||
\(952\) | 1952.72 | − | 670.809i | 0.0664791 | − | 0.0228372i | ||||
\(953\) | 6145.65i | 0.208895i | 0.994530 | + | 0.104448i | \(0.0333075\pi\) | ||||
−0.994530 | + | 0.104448i | \(0.966693\pi\) | |||||||
\(954\) | −1446.12 | − | 290.463i | −0.0490773 | − | 0.00985754i | ||||
\(955\) | −2836.24 | + | 1637.50i | −0.0961032 | + | 0.0554852i | ||||
\(956\) | 14810.4 | − | 8550.78i | 0.501048 | − | 0.289280i | ||||
\(957\) | 26068.1 | + | 57677.0i | 0.880526 | + | 1.94821i | ||||
\(958\) | − | 3331.98i | − | 0.112371i | ||||||
\(959\) | 19046.5 | − | 6542.94i | 0.641338 | − | 0.220316i | ||||
\(960\) | −7571.37 | + | 10545.0i | −0.254547 | + | 0.354519i | ||||
\(961\) | −3918.20 | + | 6786.52i | −0.131523 | + | 0.227804i | ||||
\(962\) | 1957.53 | + | 3390.54i | 0.0656063 | + | 0.113633i | ||||
\(963\) | 6117.07 | + | 5384.80i | 0.204694 | + | 0.180190i | ||||
\(964\) | −9190.20 | − | 5305.96i | −0.307050 | − | 0.177276i | ||||
\(965\) | 11012.0 | 0.367346 | ||||||||
\(966\) | −576.525 | − | 2442.62i | −0.0192023 | − | 0.0813562i | ||||
\(967\) | −8616.07 | −0.286530 | −0.143265 | − | 0.989684i | \(-0.545760\pi\) | ||||
−0.143265 | + | 0.989684i | \(0.545760\pi\) | |||||||
\(968\) | −2767.17 | − | 1597.63i | −0.0918804 | − | 0.0530472i | ||||
\(969\) | −327.327 | + | 3291.85i | −0.0108517 | + | 0.109132i | ||||
\(970\) | −657.593 | − | 1138.98i | −0.0217670 | − | 0.0377016i | ||||
\(971\) | −12259.6 | + | 21234.2i | −0.405179 | + | 0.701791i | −0.994342 | − | 0.106223i | \(-0.966124\pi\) |
0.589163 | + | 0.808014i | \(0.299458\pi\) | |||||||
\(972\) | −846.461 | − | 30170.0i | −0.0279324 | − | 0.995579i | ||||
\(973\) | −5072.98 | + | 25998.6i | −0.167145 | + | 0.856604i | ||||
\(974\) | 717.006i | 0.0235876i | ||||||||
\(975\) | −7410.01 | + | 3349.08i | −0.243395 | + | 0.110007i | ||||
\(976\) | 17666.5 | − | 10199.8i | 0.579398 | − | 0.334515i | ||||
\(977\) | 18203.3 | − | 10509.7i | 0.596085 | − | 0.344150i | −0.171415 | − | 0.985199i | \(-0.554834\pi\) |
0.767500 | + | 0.641049i | \(0.221500\pi\) | |||||||
\(978\) | −3003.98 | + | 1357.70i | −0.0982176 | + | 0.0443912i | ||||
\(979\) | − | 32490.3i | − | 1.06067i | ||||||
\(980\) | 12662.3 | + | 5137.08i | 0.412738 | + | 0.167447i | ||||
\(981\) | 2266.77 | + | 6718.95i | 0.0737742 | + | 0.218674i | ||||
\(982\) | −212.894 | + | 368.743i | −0.00691825 | + | 0.0119828i | ||||
\(983\) | −12397.9 | − | 21473.8i | −0.402270 | − | 0.696752i | 0.591730 | − | 0.806136i | \(-0.298445\pi\) |
−0.993999 | + | 0.109385i | \(0.965112\pi\) | |||||||
\(984\) | −632.399 | + | 6359.87i | −0.0204879 | + | 0.206042i | ||||
\(985\) | 14806.8 | + | 8548.69i | 0.478967 | + | 0.276532i | ||||
\(986\) | −1719.77 | −0.0555463 | ||||||||
\(987\) | −17392.8 | + | 16378.8i | −0.560911 | + | 0.528211i | ||||
\(988\) | −8165.69 | −0.262940 | ||||||||
\(989\) | −9253.63 | − | 5342.59i | −0.297521 | − | 0.171774i | ||||
\(990\) | −792.012 | + | 899.716i | −0.0254261 | + | 0.0288837i | ||||
\(991\) | −10843.2 | − | 18781.0i | −0.347574 | − | 0.602017i | 0.638244 | − | 0.769834i | \(-0.279661\pi\) |
−0.985818 | + | 0.167818i | \(0.946328\pi\) | |||||||
\(992\) | −2540.22 | + | 4399.79i | −0.0813026 | + | 0.140820i | ||||
\(993\) | 29930.5 | − | 41685.6i | 0.956511 | − | 1.33218i | ||||
\(994\) | −1567.30 | + | 1800.36i | −0.0500119 | + | 0.0574487i | ||||
\(995\) | − | 9413.33i | − | 0.299922i | ||||||
\(996\) | −1551.56 | − | 3432.90i | −0.0493605 | − | 0.109213i | ||||
\(997\) | −29236.6 | + | 16879.8i | −0.928720 | + | 0.536197i | −0.886406 | − | 0.462908i | \(-0.846806\pi\) |
−0.0423134 | + | 0.999104i | \(0.513473\pi\) | |||||||
\(998\) | 2789.50 | − | 1610.52i | 0.0884771 | − | 0.0510823i | ||||
\(999\) | −35762.6 | + | 33307.5i | −1.13261 | + | 1.05486i |
(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 | 105.4.s.a.26.9 | ✓ | 32 | |
3.2 | odd | 2 | 105.4.s.b.26.8 | yes | 32 | ||
7.3 | odd | 6 | 105.4.s.b.101.8 | yes | 32 | ||
21.17 | even | 6 | inner | 105.4.s.a.101.9 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.s.a.26.9 | ✓ | 32 | 1.1 | even | 1 | trivial | |
105.4.s.a.101.9 | yes | 32 | 21.17 | even | 6 | inner | |
105.4.s.b.26.8 | yes | 32 | 3.2 | odd | 2 | ||
105.4.s.b.101.8 | yes | 32 | 7.3 | odd | 6 |