Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,4,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), degree \(12\), 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: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.19 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.4.o.a.131.19 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.86568 | − | 0.732225i | −0.659617 | − | 0.258881i | 0.0118336 | − | 0.999930i | \(-0.496233\pi\) |
−0.671450 | + | 0.741049i | \(0.734328\pi\) | |||||||
\(3\) | 4.83212 | + | 1.91066i | 0.929942 | + | 0.367707i | ||||
\(4\) | −2.91981 | − | 2.70919i | −0.364977 | − | 0.338649i | ||||
\(5\) | −7.00045 | − | 4.77283i | −0.626139 | − | 0.426895i | 0.208246 | − | 0.978077i | \(-0.433225\pi\) |
−0.834385 | + | 0.551182i | \(0.814177\pi\) | |||||||
\(6\) | −7.61615 | − | 7.10287i | −0.518213 | − | 0.483289i | ||||
\(7\) | 10.3324 | + | 15.3702i | 0.557895 | + | 0.829911i | ||||
\(8\) | 10.4205 | + | 21.6384i | 0.460525 | + | 0.956290i | ||||
\(9\) | 19.6988 | + | 18.4651i | 0.729583 | + | 0.683892i | ||||
\(10\) | 9.56581 | + | 14.0305i | 0.302497 | + | 0.443682i | ||||
\(11\) | −4.91362 | − | 32.5997i | −0.134683 | − | 0.893563i | −0.949483 | − | 0.313820i | \(-0.898391\pi\) |
0.814800 | − | 0.579743i | \(-0.196847\pi\) | |||||||
\(12\) | −8.93254 | − | 18.6699i | −0.214884 | − | 0.449128i | ||||
\(13\) | 46.1982 | − | 36.8418i | 0.985621 | − | 0.786007i | 0.00877776 | − | 0.999961i | \(-0.497206\pi\) |
0.976844 | + | 0.213955i | \(0.0686345\pi\) | |||||||
\(14\) | −8.02244 | − | 36.2414i | −0.153149 | − | 0.691852i | ||||
\(15\) | −24.7078 | − | 36.4384i | −0.425301 | − | 0.627223i | ||||
\(16\) | −1.21588 | − | 16.2247i | −0.0189981 | − | 0.253512i | ||||
\(17\) | 46.7745 | + | 14.4280i | 0.667322 | + | 0.205842i | 0.609864 | − | 0.792506i | \(-0.291224\pi\) |
0.0574585 | + | 0.998348i | \(0.481700\pi\) | |||||||
\(18\) | −23.2309 | − | 48.8738i | −0.304199 | − | 0.639981i | ||||
\(19\) | 57.6394 | − | 33.2781i | 0.695967 | − | 0.401817i | −0.109876 | − | 0.993945i | \(-0.535045\pi\) |
0.805844 | + | 0.592128i | \(0.201712\pi\) | |||||||
\(20\) | 7.50951 | + | 32.9013i | 0.0839589 | + | 0.367848i | ||||
\(21\) | 20.5600 | + | 94.0122i | 0.213646 | + | 0.976911i | ||||
\(22\) | −14.7031 | + | 64.4185i | −0.142487 | + | 0.624276i | ||||
\(23\) | −7.82005 | − | 25.3520i | −0.0708954 | − | 0.229837i | 0.913190 | − | 0.407535i | \(-0.133611\pi\) |
−0.984085 | + | 0.177697i | \(0.943135\pi\) | |||||||
\(24\) | 9.00947 | + | 124.469i | 0.0766271 | + | 1.05863i | ||||
\(25\) | −19.4412 | − | 49.5353i | −0.155530 | − | 0.396283i | ||||
\(26\) | −113.167 | + | 34.9075i | −0.853614 | + | 0.263305i | ||||
\(27\) | 59.9062 | + | 126.863i | 0.426998 | + | 0.904252i | ||||
\(28\) | 11.4722 | − | 72.8704i | 0.0774298 | − | 0.491829i | ||||
\(29\) | 260.075 | − | 59.3604i | 1.66533 | − | 0.380102i | 0.716925 | − | 0.697150i | \(-0.245549\pi\) |
0.948409 | + | 0.317048i | \(0.102692\pi\) | |||||||
\(30\) | 19.4157 | + | 86.0739i | 0.118160 | + | 0.523829i | ||||
\(31\) | 39.4109 | + | 22.7539i | 0.228336 | + | 0.131830i | 0.609804 | − | 0.792552i | \(-0.291248\pi\) |
−0.381468 | + | 0.924382i | \(0.624581\pi\) | |||||||
\(32\) | 47.0208 | − | 152.438i | 0.259756 | − | 0.842108i | ||||
\(33\) | 38.5438 | − | 166.914i | 0.203322 | − | 0.880485i | ||||
\(34\) | −76.7016 | − | 61.1675i | −0.386889 | − | 0.308533i | ||||
\(35\) | 1.02798 | − | 156.913i | 0.00496460 | − | 0.757803i | ||||
\(36\) | −7.49126 | − | 107.282i | −0.0346818 | − | 0.496677i | ||||
\(37\) | −182.343 | + | 169.190i | −0.810189 | + | 0.751746i | −0.971976 | − | 0.235080i | \(-0.924465\pi\) |
0.161787 | + | 0.986826i | \(0.448274\pi\) | |||||||
\(38\) | −131.904 | + | 19.8813i | −0.563094 | + | 0.0848728i | ||||
\(39\) | 293.628 | − | 89.7551i | 1.20559 | − | 0.368521i | ||||
\(40\) | 30.3281 | − | 201.214i | 0.119882 | − | 0.795366i | ||||
\(41\) | 367.455 | − | 176.957i | 1.39968 | − | 0.674049i | 0.426581 | − | 0.904449i | \(-0.359718\pi\) |
0.973096 | + | 0.230400i | \(0.0740035\pi\) | |||||||
\(42\) | 30.4796 | − | 190.451i | 0.111979 | − | 0.699696i | ||||
\(43\) | 82.4286 | + | 39.6955i | 0.292331 | + | 0.140779i | 0.574302 | − | 0.818644i | \(-0.305274\pi\) |
−0.281970 | + | 0.959423i | \(0.590988\pi\) | |||||||
\(44\) | −73.9720 | + | 108.497i | −0.253448 | + | 0.371740i | ||||
\(45\) | −49.7695 | − | 223.283i | −0.164871 | − | 0.739667i | ||||
\(46\) | −3.97365 | + | 53.0247i | −0.0127366 | + | 0.169958i | ||||
\(47\) | −32.5135 | + | 82.8431i | −0.100906 | + | 0.257104i | −0.972408 | − | 0.233288i | \(-0.925051\pi\) |
0.871502 | + | 0.490393i | \(0.163147\pi\) | |||||||
\(48\) | 25.1247 | − | 80.7230i | 0.0755509 | − | 0.242737i | ||||
\(49\) | −129.485 | + | 317.620i | −0.377506 | + | 0.926007i | ||||
\(50\) | 106.652i | 0.301658i | ||||||||
\(51\) | 198.453 | + | 159.088i | 0.544882 | + | 0.436800i | ||||
\(52\) | −234.702 | − | 17.5885i | −0.625909 | − | 0.0469054i | ||||
\(53\) | −504.425 | + | 543.641i | −1.30732 | + | 1.40896i | −0.450995 | + | 0.892526i | \(0.648931\pi\) |
−0.856328 | + | 0.516433i | \(0.827260\pi\) | |||||||
\(54\) | −18.8735 | − | 280.551i | −0.0475621 | − | 0.707002i | ||||
\(55\) | −121.195 | + | 251.665i | −0.297127 | + | 0.616990i | ||||
\(56\) | −224.917 | + | 383.740i | −0.536711 | + | 0.915705i | ||||
\(57\) | 342.104 | − | 50.6745i | 0.794960 | − | 0.117754i | ||||
\(58\) | −528.681 | − | 79.6859i | −1.19688 | − | 0.180401i | ||||
\(59\) | 317.908 | − | 216.746i | 0.701494 | − | 0.478271i | −0.159296 | − | 0.987231i | \(-0.550922\pi\) |
0.860790 | + | 0.508960i | \(0.169970\pi\) | |||||||
\(60\) | −26.5764 | + | 173.331i | −0.0571833 | + | 0.372949i | ||||
\(61\) | −342.934 | − | 369.595i | −0.719807 | − | 0.775767i | 0.262118 | − | 0.965036i | \(-0.415579\pi\) |
−0.981925 | + | 0.189268i | \(0.939388\pi\) | |||||||
\(62\) | −56.8671 | − | 71.3091i | −0.116486 | − | 0.146069i | ||||
\(63\) | −80.2768 | + | 493.561i | −0.160539 | + | 0.987030i | ||||
\(64\) | −280.499 | + | 351.735i | −0.547850 | + | 0.686982i | ||||
\(65\) | −499.248 | + | 37.4135i | −0.952678 | + | 0.0713934i | ||||
\(66\) | −194.129 | + | 283.185i | −0.362055 | + | 0.528147i | ||||
\(67\) | −40.5130 | + | 70.1705i | −0.0738723 | + | 0.127951i | −0.900595 | − | 0.434659i | \(-0.856869\pi\) |
0.826723 | + | 0.562609i | \(0.190202\pi\) | |||||||
\(68\) | −97.4845 | − | 168.848i | −0.173849 | − | 0.301115i | ||||
\(69\) | 10.6516 | − | 137.445i | 0.0185841 | − | 0.239804i | ||||
\(70\) | −116.813 | + | 291.996i | −0.199455 | + | 0.498574i | ||||
\(71\) | 815.244 | + | 186.074i | 1.36270 | + | 0.311027i | 0.840507 | − | 0.541801i | \(-0.182257\pi\) |
0.522192 | + | 0.852828i | \(0.325114\pi\) | |||||||
\(72\) | −194.284 | + | 618.664i | −0.318007 | + | 1.01264i | ||||
\(73\) | −834.304 | + | 327.440i | −1.33764 | + | 0.524986i | −0.922930 | − | 0.384967i | \(-0.874213\pi\) |
−0.414712 | + | 0.909953i | \(0.636118\pi\) | |||||||
\(74\) | 464.078 | − | 182.137i | 0.729027 | − | 0.286122i | ||||
\(75\) | 0.703076 | − | 276.506i | 0.00108246 | − | 0.425709i | ||||
\(76\) | −258.453 | − | 58.9902i | −0.390087 | − | 0.0890347i | ||||
\(77\) | 450.294 | − | 412.355i | 0.666439 | − | 0.610289i | ||||
\(78\) | −613.535 | − | 47.5472i | −0.890631 | − | 0.0690213i | ||||
\(79\) | −257.330 | − | 445.709i | −0.366480 | − | 0.634762i | 0.622532 | − | 0.782594i | \(-0.286104\pi\) |
−0.989013 | + | 0.147832i | \(0.952771\pi\) | |||||||
\(80\) | −68.9262 | + | 119.384i | −0.0963273 | + | 0.166844i | ||||
\(81\) | 47.0817 | + | 727.478i | 0.0645840 | + | 0.997912i | ||||
\(82\) | −815.124 | + | 61.0851i | −1.09775 | + | 0.0822649i | ||||
\(83\) | −417.483 | + | 523.507i | −0.552105 | + | 0.692318i | −0.977076 | − | 0.212889i | \(-0.931713\pi\) |
0.424971 | + | 0.905207i | \(0.360284\pi\) | |||||||
\(84\) | 194.665 | − | 330.199i | 0.252854 | − | 0.428901i | ||||
\(85\) | −258.580 | − | 324.249i | −0.329964 | − | 0.413762i | ||||
\(86\) | −124.719 | − | 134.415i | −0.156382 | − | 0.168539i | ||||
\(87\) | 1370.13 | + | 210.078i | 1.68843 | + | 0.258882i | ||||
\(88\) | 654.203 | − | 446.028i | 0.792480 | − | 0.540304i | ||||
\(89\) | −939.399 | − | 141.592i | −1.11883 | − | 0.168637i | −0.436518 | − | 0.899696i | \(-0.643788\pi\) |
−0.682314 | + | 0.731059i | \(0.739026\pi\) | |||||||
\(90\) | −70.6391 | + | 453.016i | −0.0827335 | + | 0.530579i | ||||
\(91\) | 1043.60 | + | 329.411i | 1.20219 | + | 0.379469i | ||||
\(92\) | −45.8503 | + | 95.2091i | −0.0519589 | + | 0.107894i | ||||
\(93\) | 146.963 | + | 185.251i | 0.163864 | + | 0.206555i | ||||
\(94\) | 121.319 | − | 130.751i | 0.133119 | − | 0.143468i | ||||
\(95\) | −562.332 | − | 42.1410i | −0.607306 | − | 0.0455113i | ||||
\(96\) | 518.467 | − | 646.757i | 0.551207 | − | 0.687597i | ||||
\(97\) | − | 206.972i | − | 0.216648i | −0.994116 | − | 0.108324i | \(-0.965452\pi\) | ||
0.994116 | − | 0.108324i | \(-0.0345484\pi\) | |||||||
\(98\) | 474.146 | − | 497.766i | 0.488735 | − | 0.513081i | ||||
\(99\) | 505.164 | − | 732.904i | 0.512838 | − | 0.744037i | ||||
\(100\) | −77.4360 | + | 197.304i | −0.0774360 | + | 0.197304i | ||||
\(101\) | 44.3502 | − | 591.812i | 0.0436931 | − | 0.583044i | −0.931794 | − | 0.362988i | \(-0.881757\pi\) |
0.975487 | − | 0.220057i | \(-0.0706242\pi\) | |||||||
\(102\) | −253.761 | − | 442.119i | −0.246334 | − | 0.429180i | ||||
\(103\) | −243.043 | + | 356.478i | −0.232502 | + | 0.341018i | −0.924705 | − | 0.380685i | \(-0.875688\pi\) |
0.692203 | + | 0.721703i | \(0.256640\pi\) | |||||||
\(104\) | 1278.61 | + | 615.744i | 1.20555 | + | 0.580564i | ||||
\(105\) | 304.774 | − | 756.257i | 0.283266 | − | 0.702887i | ||||
\(106\) | 1339.16 | − | 644.907i | 1.22708 | − | 0.590933i | ||||
\(107\) | −105.790 | + | 701.872i | −0.0955806 | + | 0.634136i | 0.888828 | + | 0.458241i | \(0.151520\pi\) |
−0.984409 | + | 0.175895i | \(0.943718\pi\) | |||||||
\(108\) | 168.781 | − | 532.714i | 0.150380 | − | 0.474634i | ||||
\(109\) | 1067.00 | − | 160.824i | 0.937614 | − | 0.141323i | 0.337580 | − | 0.941297i | \(-0.390392\pi\) |
0.600034 | + | 0.799974i | \(0.295154\pi\) | |||||||
\(110\) | 410.387 | − | 380.783i | 0.355717 | − | 0.330057i | ||||
\(111\) | −1204.37 | + | 469.149i | −1.02985 | + | 0.401168i | ||||
\(112\) | 236.814 | − | 186.328i | 0.199793 | − | 0.157200i | ||||
\(113\) | −1412.73 | − | 1126.62i | −1.17610 | − | 0.937905i | −0.177167 | − | 0.984181i | \(-0.556693\pi\) |
−0.998929 | + | 0.0462759i | \(0.985265\pi\) | |||||||
\(114\) | −675.360 | − | 155.954i | −0.554853 | − | 0.128127i | ||||
\(115\) | −66.2568 | + | 214.799i | −0.0537259 | + | 0.174175i | ||||
\(116\) | −920.189 | − | 531.271i | −0.736529 | − | 0.425235i | ||||
\(117\) | 1590.33 | + | 127.315i | 1.25664 | + | 0.100601i | ||||
\(118\) | −751.822 | + | 171.598i | −0.586532 | + | 0.133872i | ||||
\(119\) | 261.530 | + | 868.008i | 0.201466 | + | 0.668656i | ||||
\(120\) | 531.000 | − | 914.341i | 0.403945 | − | 0.695563i | ||||
\(121\) | 233.269 | − | 71.9539i | 0.175258 | − | 0.0540600i | ||||
\(122\) | 369.178 | + | 940.651i | 0.273966 | + | 0.698053i | ||||
\(123\) | 2113.69 | − | 152.995i | 1.54947 | − | 0.112156i | ||||
\(124\) | −53.4279 | − | 173.209i | −0.0386933 | − | 0.125440i | ||||
\(125\) | −335.995 | + | 1472.09i | −0.240418 | + | 1.05334i | ||||
\(126\) | 511.168 | − | 862.046i | 0.361417 | − | 0.609501i | ||||
\(127\) | −397.301 | − | 1740.69i | −0.277596 | − | 1.21623i | −0.900823 | − | 0.434187i | \(-0.857036\pi\) |
0.623226 | − | 0.782042i | \(-0.285822\pi\) | |||||||
\(128\) | −324.352 | + | 187.265i | −0.223976 | + | 0.129313i | ||||
\(129\) | 322.460 | + | 349.307i | 0.220086 | + | 0.238409i | ||||
\(130\) | 958.831 | + | 295.760i | 0.646885 | + | 0.199538i | ||||
\(131\) | −52.0579 | − | 694.665i | −0.0347200 | − | 0.463306i | −0.987284 | − | 0.158967i | \(-0.949184\pi\) |
0.952564 | − | 0.304339i | \(-0.0984355\pi\) | |||||||
\(132\) | −564.743 | + | 382.935i | −0.372383 | + | 0.252502i | ||||
\(133\) | 1107.04 | + | 542.086i | 0.721749 | + | 0.353420i | ||||
\(134\) | 126.965 | − | 101.251i | 0.0818513 | − | 0.0652743i | ||||
\(135\) | 186.125 | − | 1174.02i | 0.118660 | − | 0.748471i | ||||
\(136\) | 175.214 | + | 1162.47i | 0.110474 | + | 0.732949i | ||||
\(137\) | −307.584 | − | 451.143i | −0.191815 | − | 0.281341i | 0.718268 | − | 0.695766i | \(-0.244935\pi\) |
−0.910083 | + | 0.414425i | \(0.863983\pi\) | |||||||
\(138\) | −120.513 | + | 248.629i | −0.0743390 | + | 0.153368i | ||||
\(139\) | 351.404 | + | 729.698i | 0.214429 | + | 0.445267i | 0.980243 | − | 0.197795i | \(-0.0633780\pi\) |
−0.765814 | + | 0.643062i | \(0.777664\pi\) | |||||||
\(140\) | −428.108 | + | 455.371i | −0.258441 | + | 0.274899i | ||||
\(141\) | −315.394 | + | 338.185i | −0.188376 | + | 0.201988i | ||||
\(142\) | −1384.73 | − | 944.096i | −0.818340 | − | 0.557935i | ||||
\(143\) | −1428.03 | − | 1325.02i | −0.835093 | − | 0.774853i | ||||
\(144\) | 275.640 | − | 342.059i | 0.159514 | − | 0.197951i | ||||
\(145\) | −2103.96 | − | 825.743i | −1.20500 | − | 0.472926i | ||||
\(146\) | 1796.30 | 1.01824 | ||||||||
\(147\) | −1232.55 | + | 1287.38i | −0.691558 | + | 0.722321i | ||||
\(148\) | 990.774 | 0.550278 | ||||||||
\(149\) | −40.5079 | − | 15.8982i | −0.0222720 | − | 0.00874113i | 0.354179 | − | 0.935178i | \(-0.384760\pi\) |
−0.376451 | + | 0.926437i | \(0.622856\pi\) | |||||||
\(150\) | −203.776 | + | 515.357i | −0.110922 | + | 0.280525i | ||||
\(151\) | 2466.51 | + | 2288.59i | 1.32928 | + | 1.23339i | 0.951555 | + | 0.307477i | \(0.0994848\pi\) |
0.377727 | + | 0.925917i | \(0.376706\pi\) | |||||||
\(152\) | 1320.71 | + | 900.448i | 0.704764 | + | 0.480500i | ||||
\(153\) | 654.985 | + | 1147.91i | 0.346094 | + | 0.606555i | ||||
\(154\) | −1142.04 | + | 439.606i | −0.597586 | + | 0.230029i | ||||
\(155\) | −167.294 | − | 347.389i | −0.0866927 | − | 0.180019i | ||||
\(156\) | −1100.50 | − | 533.425i | −0.564812 | − | 0.273770i | ||||
\(157\) | 2024.61 | + | 2969.56i | 1.02918 | + | 1.50953i | 0.850742 | + | 0.525584i | \(0.176153\pi\) |
0.178441 | + | 0.983951i | \(0.442895\pi\) | |||||||
\(158\) | 153.736 | + | 1019.97i | 0.0774089 | + | 0.513574i | ||||
\(159\) | −3476.16 | + | 1663.15i | −1.73382 | + | 0.829538i | ||||
\(160\) | −1056.73 | + | 842.711i | −0.522135 | + | 0.416389i | ||||
\(161\) | 308.865 | − | 382.142i | 0.151192 | − | 0.187062i | ||||
\(162\) | 444.838 | − | 1391.71i | 0.215739 | − | 0.674959i | ||||
\(163\) | −218.092 | − | 2910.24i | −0.104799 | − | 1.39845i | −0.763384 | − | 0.645945i | \(-0.776464\pi\) |
0.658584 | − | 0.752507i | \(-0.271156\pi\) | |||||||
\(164\) | −1552.31 | − | 478.824i | −0.739115 | − | 0.227987i | ||||
\(165\) | −1066.48 | + | 984.511i | −0.503182 | + | 0.464509i | ||||
\(166\) | 1162.21 | − | 671.004i | 0.543405 | − | 0.313735i | ||||
\(167\) | −228.859 | − | 1002.70i | −0.106046 | − | 0.464618i | −0.999869 | − | 0.0161974i | \(-0.994844\pi\) |
0.893823 | − | 0.448420i | \(-0.148013\pi\) | |||||||
\(168\) | −1820.02 | + | 1424.54i | −0.835821 | + | 0.654200i | ||||
\(169\) | 288.075 | − | 1262.14i | 0.131122 | − | 0.574482i | ||||
\(170\) | 245.004 | + | 794.283i | 0.110535 | + | 0.358346i | ||||
\(171\) | 1749.91 | + | 408.778i | 0.782566 | + | 0.182807i | ||||
\(172\) | −133.133 | − | 339.218i | −0.0590193 | − | 0.150379i | ||||
\(173\) | 919.297 | − | 283.566i | 0.404005 | − | 0.124619i | −0.0860915 | − | 0.996287i | \(-0.527438\pi\) |
0.490096 | + | 0.871668i | \(0.336962\pi\) | |||||||
\(174\) | −2402.40 | − | 1395.18i | −1.04670 | − | 0.607865i | ||||
\(175\) | 560.493 | − | 810.632i | 0.242110 | − | 0.350160i | ||||
\(176\) | −522.948 | + | 119.359i | −0.223970 | + | 0.0511196i | ||||
\(177\) | 1950.30 | − | 439.929i | 0.828212 | − | 0.186820i | ||||
\(178\) | 1648.94 | + | 952.015i | 0.694344 | + | 0.400880i | ||||
\(179\) | 834.980 | − | 2706.94i | 0.348655 | − | 1.13031i | −0.596203 | − | 0.802834i | \(-0.703325\pi\) |
0.944858 | − | 0.327479i | \(-0.106199\pi\) | |||||||
\(180\) | −459.597 | + | 786.779i | −0.190313 | + | 0.325795i | ||||
\(181\) | 1330.85 | + | 1061.32i | 0.546528 | + | 0.435841i | 0.857430 | − | 0.514601i | \(-0.172060\pi\) |
−0.310902 | + | 0.950442i | \(0.600631\pi\) | |||||||
\(182\) | −1705.82 | − | 1378.73i | −0.694747 | − | 0.561528i | ||||
\(183\) | −950.928 | − | 2441.16i | −0.384124 | − | 0.986097i | ||||
\(184\) | 467.087 | − | 433.393i | 0.187142 | − | 0.173642i | ||||
\(185\) | 2084.00 | − | 314.112i | 0.828208 | − | 0.124832i | ||||
\(186\) | −138.541 | − | 453.228i | −0.0546147 | − | 0.178668i | ||||
\(187\) | 240.517 | − | 1595.73i | 0.0940555 | − | 0.624018i | ||||
\(188\) | 319.371 | − | 153.801i | 0.123896 | − | 0.0596654i | ||||
\(189\) | −1330.94 | + | 2231.56i | −0.512229 | + | 0.858849i | ||||
\(190\) | 1018.27 | + | 490.375i | 0.388807 | + | 0.187240i | ||||
\(191\) | −17.2352 | + | 25.2794i | −0.00652930 | + | 0.00957673i | −0.829490 | − | 0.558522i | \(-0.811369\pi\) |
0.822960 | + | 0.568099i | \(0.192321\pi\) | |||||||
\(192\) | −2027.45 | + | 1163.69i | −0.762076 | + | 0.437405i | ||||
\(193\) | 147.696 | − | 1970.86i | 0.0550848 | − | 0.735056i | −0.899463 | − | 0.436997i | \(-0.856042\pi\) |
0.954548 | − | 0.298058i | \(-0.0963390\pi\) | |||||||
\(194\) | −151.550 | + | 386.144i | −0.0560860 | + | 0.142905i | ||||
\(195\) | −2483.91 | − | 773.107i | −0.912187 | − | 0.283915i | ||||
\(196\) | 1238.57 | − | 576.594i | 0.451372 | − | 0.210129i | ||||
\(197\) | 3441.09i | 1.24451i | 0.782816 | + | 0.622253i | \(0.213783\pi\) | ||||
−0.782816 | + | 0.622253i | \(0.786217\pi\) | |||||||
\(198\) | −1479.12 | + | 997.470i | −0.530893 | + | 0.358016i | ||||
\(199\) | −2259.76 | − | 169.346i | −0.804975 | − | 0.0603246i | −0.334115 | − | 0.942532i | \(-0.608437\pi\) |
−0.470860 | + | 0.882208i | \(0.656056\pi\) | |||||||
\(200\) | 869.277 | − | 936.858i | 0.307336 | − | 0.331229i | ||||
\(201\) | −329.835 | + | 261.666i | −0.115745 | + | 0.0918233i | ||||
\(202\) | −516.082 | + | 1071.66i | −0.179760 | + | 0.373275i | ||||
\(203\) | 3599.57 | + | 3384.06i | 1.24453 | + | 1.17002i | ||||
\(204\) | −148.445 | − | 1002.15i | −0.0509473 | − | 0.343945i | ||||
\(205\) | −3416.93 | − | 515.020i | −1.16414 | − | 0.175466i | ||||
\(206\) | 714.462 | − | 487.112i | 0.241645 | − | 0.164751i | ||||
\(207\) | 314.081 | − | 643.800i | 0.105460 | − | 0.216170i | ||||
\(208\) | −653.921 | − | 704.759i | −0.217987 | − | 0.234934i | ||||
\(209\) | −1368.08 | − | 1715.51i | −0.452783 | − | 0.567772i | ||||
\(210\) | −1122.36 | + | 1187.77i | −0.368811 | + | 0.390304i | ||||
\(211\) | −411.164 | + | 515.583i | −0.134150 | + | 0.168219i | −0.844369 | − | 0.535762i | \(-0.820025\pi\) |
0.710219 | + | 0.703981i | \(0.248596\pi\) | |||||||
\(212\) | 2945.65 | − | 220.746i | 0.954285 | − | 0.0715137i | ||||
\(213\) | 3583.83 | + | 2456.79i | 1.15286 | + | 0.790311i | ||||
\(214\) | 711.299 | − | 1232.01i | 0.227212 | − | 0.393543i | ||||
\(215\) | −387.578 | − | 671.304i | −0.122942 | − | 0.212942i | ||||
\(216\) | −2120.86 | + | 2618.25i | −0.668084 | + | 0.824765i | ||||
\(217\) | 57.4764 | + | 840.855i | 0.0179804 | + | 0.263046i | ||||
\(218\) | −2108.44 | − | 481.237i | −0.655052 | − | 0.149511i | ||||
\(219\) | −4657.08 | − | 11.8416i | −1.43697 | − | 0.00365380i | ||||
\(220\) | 1035.68 | − | 406.473i | 0.317387 | − | 0.124565i | ||||
\(221\) | 2692.45 | − | 1056.71i | 0.819520 | − | 0.321638i | ||||
\(222\) | 2590.48 | + | 6.58685i | 0.783162 | + | 0.00199135i | ||||
\(223\) | −6045.05 | − | 1379.74i | −1.81528 | − | 0.414325i | −0.826401 | − | 0.563082i | \(-0.809616\pi\) |
−0.988874 | + | 0.148757i | \(0.952473\pi\) | |||||||
\(224\) | 2828.83 | − | 852.324i | 0.843792 | − | 0.254234i | ||||
\(225\) | 531.707 | − | 1334.77i | 0.157543 | − | 0.395487i | ||||
\(226\) | 1810.77 | + | 3136.34i | 0.532967 | + | 0.923126i | ||||
\(227\) | −2444.42 | + | 4233.85i | −0.714721 | + | 1.23793i | 0.248347 | + | 0.968671i | \(0.420113\pi\) |
−0.963067 | + | 0.269261i | \(0.913221\pi\) | |||||||
\(228\) | −1136.17 | − | 778.863i | −0.330019 | − | 0.226235i | ||||
\(229\) | −2721.49 | + | 203.947i | −0.785332 | + | 0.0588525i | −0.461359 | − | 0.887214i | \(-0.652638\pi\) |
−0.323974 | + | 0.946066i | \(0.605019\pi\) | |||||||
\(230\) | 280.895 | − | 352.231i | 0.0805290 | − | 0.100980i | ||||
\(231\) | 2963.75 | − | 1132.19i | 0.844157 | − | 0.322479i | ||||
\(232\) | 3994.57 | + | 5009.03i | 1.13042 | + | 1.41750i | ||||
\(233\) | −1345.88 | − | 1450.51i | −0.378418 | − | 0.407837i | 0.514909 | − | 0.857245i | \(-0.327826\pi\) |
−0.893327 | + | 0.449407i | \(0.851635\pi\) | |||||||
\(234\) | −2873.83 | − | 1402.01i | −0.802855 | − | 0.391677i | ||||
\(235\) | 623.005 | − | 424.758i | 0.172938 | − | 0.117907i | ||||
\(236\) | −1515.44 | − | 228.416i | −0.417995 | − | 0.0630026i | ||||
\(237\) | −391.852 | − | 2645.39i | −0.107399 | − | 0.725049i | ||||
\(238\) | 147.646 | − | 1810.92i | 0.0402121 | − | 0.493213i | ||||
\(239\) | −1571.46 | + | 3263.17i | −0.425311 | + | 0.883168i | 0.572678 | + | 0.819781i | \(0.305905\pi\) |
−0.997989 | + | 0.0633874i | \(0.979810\pi\) | |||||||
\(240\) | −561.161 | + | 445.182i | −0.150928 | + | 0.119735i | ||||
\(241\) | −2750.02 | + | 2963.82i | −0.735039 | + | 0.792184i | −0.984347 | − | 0.176240i | \(-0.943606\pi\) |
0.249308 | + | 0.968424i | \(0.419797\pi\) | |||||||
\(242\) | −487.891 | − | 36.5624i | −0.129598 | − | 0.00971206i | ||||
\(243\) | −1162.46 | + | 3605.22i | −0.306880 | + | 0.951748i | ||||
\(244\) | 2008.22i | 0.526899i | ||||||||
\(245\) | 2422.40 | − | 1605.48i | 0.631679 | − | 0.418654i | ||||
\(246\) | −4055.49 | − | 1262.26i | −1.05109 | − | 0.327148i | ||||
\(247\) | 1436.81 | − | 3660.93i | 0.370129 | − | 0.943074i | ||||
\(248\) | −81.6764 | + | 1089.90i | −0.0209131 | + | 0.279066i | ||||
\(249\) | −3017.57 | + | 1731.98i | −0.767995 | + | 0.440802i | ||||
\(250\) | 1704.76 | − | 2500.42i | 0.431274 | − | 0.632562i | ||||
\(251\) | −342.372 | − | 164.878i | −0.0860970 | − | 0.0414621i | 0.390340 | − | 0.920671i | \(-0.372358\pi\) |
−0.476437 | + | 0.879209i | \(0.658072\pi\) | |||||||
\(252\) | 1571.54 | − | 1223.62i | 0.392849 | − | 0.305877i | ||||
\(253\) | −788.043 | + | 379.502i | −0.195825 | + | 0.0943046i | ||||
\(254\) | −533.340 | + | 3538.48i | −0.131751 | + | 0.874109i | ||||
\(255\) | −629.960 | − | 2060.87i | −0.154704 | − | 0.506104i | ||||
\(256\) | 4301.14 | − | 648.293i | 1.05008 | − | 0.158275i | ||||
\(257\) | −1054.69 | + | 978.607i | −0.255991 | + | 0.237525i | −0.797720 | − | 0.603029i | \(-0.793960\pi\) |
0.541729 | + | 0.840553i | \(0.317770\pi\) | |||||||
\(258\) | −345.836 | − | 887.807i | −0.0834527 | − | 0.214234i | ||||
\(259\) | −4484.51 | − | 1054.52i | −1.07588 | − | 0.252990i | ||||
\(260\) | 1559.07 | + | 1243.32i | 0.371883 | + | 0.296567i | ||||
\(261\) | 6219.25 | + | 3632.98i | 1.47495 | + | 0.861593i | ||||
\(262\) | −411.527 | + | 1334.14i | −0.0970391 | + | 0.314593i | ||||
\(263\) | −3761.42 | − | 2171.66i | −0.881897 | − | 0.509164i | −0.0106137 | − | 0.999944i | \(-0.503379\pi\) |
−0.871283 | + | 0.490780i | \(0.836712\pi\) | |||||||
\(264\) | 4013.39 | − | 905.301i | 0.935634 | − | 0.211051i | ||||
\(265\) | 6125.91 | − | 1398.20i | 1.42004 | − | 0.324116i | ||||
\(266\) | −1668.45 | − | 1821.96i | −0.384585 | − | 0.419968i | ||||
\(267\) | −4268.75 | − | 2479.06i | −0.978440 | − | 0.568225i | ||||
\(268\) | 308.395 | − | 95.1274i | 0.0702920 | − | 0.0216822i | ||||
\(269\) | −908.201 | − | 2314.06i | −0.205851 | − | 0.524500i | 0.790243 | − | 0.612793i | \(-0.209954\pi\) |
−0.996095 | + | 0.0882927i | \(0.971859\pi\) | |||||||
\(270\) | −1206.90 | + | 2054.06i | −0.272035 | + | 0.462986i | ||||
\(271\) | 121.793 | + | 394.842i | 0.0273003 | + | 0.0885054i | 0.968198 | − | 0.250186i | \(-0.0804918\pi\) |
−0.940897 | + | 0.338692i | \(0.890016\pi\) | |||||||
\(272\) | 177.219 | − | 776.447i | 0.0395054 | − | 0.173085i | ||||
\(273\) | 4413.42 | + | 3585.72i | 0.978433 | + | 0.794937i | ||||
\(274\) | 243.515 | + | 1066.91i | 0.0536908 | + | 0.235235i | ||||
\(275\) | −1519.31 | + | 877.175i | −0.333156 | + | 0.192348i | ||||
\(276\) | −403.466 | + | 372.457i | −0.0879921 | + | 0.0812293i | ||||
\(277\) | 115.399 | + | 35.5959i | 0.0250313 | + | 0.00772113i | 0.307246 | − | 0.951630i | \(-0.400593\pi\) |
−0.282214 | + | 0.959351i | \(0.591069\pi\) | |||||||
\(278\) | −121.304 | − | 1618.69i | −0.0261702 | − | 0.349217i | ||||
\(279\) | 356.193 | + | 1175.95i | 0.0764328 | + | 0.252338i | ||||
\(280\) | 3406.05 | − | 1612.86i | 0.726965 | − | 0.344239i | ||||
\(281\) | −554.542 | + | 442.233i | −0.117727 | + | 0.0938840i | −0.680584 | − | 0.732670i | \(-0.738274\pi\) |
0.562857 | + | 0.826554i | \(0.309702\pi\) | |||||||
\(282\) | 836.052 | − | 400.006i | 0.176547 | − | 0.0844680i | ||||
\(283\) | −103.153 | − | 684.375i | −0.0216672 | − | 0.143752i | 0.975382 | − | 0.220524i | \(-0.0707768\pi\) |
−0.997049 | + | 0.0767719i | \(0.975539\pi\) | |||||||
\(284\) | −1876.25 | − | 2751.95i | −0.392024 | − | 0.574994i | ||||
\(285\) | −2636.74 | − | 1278.06i | −0.548024 | − | 0.265633i | ||||
\(286\) | 1694.04 | + | 3517.71i | 0.350247 | + | 0.727295i | ||||
\(287\) | 6516.53 | + | 3819.46i | 1.34027 | + | 0.785560i | ||||
\(288\) | 3741.03 | − | 2134.59i | 0.765424 | − | 0.436743i | ||||
\(289\) | −2079.63 | − | 1417.87i | −0.423291 | − | 0.288595i | ||||
\(290\) | 3320.68 | + | 3081.14i | 0.672404 | + | 0.623900i | ||||
\(291\) | 395.454 | − | 1000.12i | 0.0796630 | − | 0.201470i | ||||
\(292\) | 3323.11 | + | 1304.22i | 0.665994 | + | 0.261383i | ||||
\(293\) | −2697.59 | −0.537866 | −0.268933 | − | 0.963159i | \(-0.586671\pi\) | ||||
−0.268933 | + | 0.963159i | \(0.586671\pi\) | |||||||
\(294\) | 3242.19 | − | 1499.33i | 0.643158 | − | 0.297424i | ||||
\(295\) | −3259.99 | −0.643404 | ||||||||
\(296\) | −5561.09 | − | 2182.57i | −1.09200 | − | 0.428578i | ||||
\(297\) | 3841.35 | − | 2576.28i | 0.750497 | − | 0.503337i | ||||
\(298\) | 63.9336 | + | 59.3217i | 0.0124281 | + | 0.0115316i | ||||
\(299\) | −1295.29 | − | 883.111i | −0.250530 | − | 0.170808i | ||||
\(300\) | −751.161 | + | 805.442i | −0.144561 | + | 0.155007i | ||||
\(301\) | 241.555 | + | 1677.09i | 0.0462558 | + | 0.321149i | ||||
\(302\) | −2925.95 | − | 6075.81i | −0.557516 | − | 1.15769i | ||||
\(303\) | 1345.06 | − | 2774.97i | 0.255021 | − | 0.526131i | ||||
\(304\) | −610.011 | − | 894.722i | −0.115087 | − | 0.168802i | ||||
\(305\) | 636.680 | + | 4224.10i | 0.119529 | + | 0.793020i | ||||
\(306\) | −381.463 | − | 2621.22i | −0.0712641 | − | 0.489691i | ||||
\(307\) | 7633.06 | − | 6087.16i | 1.41903 | − | 1.13164i | 0.447620 | − | 0.894224i | \(-0.352272\pi\) |
0.971409 | − | 0.237414i | \(-0.0762998\pi\) | |||||||
\(308\) | −2431.92 | − | 15.9323i | −0.449908 | − | 0.00294749i | ||||
\(309\) | −1855.52 | + | 1258.17i | −0.341608 | + | 0.231634i | ||||
\(310\) | 57.7495 | + | 770.613i | 0.0105805 | + | 0.141187i | ||||
\(311\) | −4302.17 | − | 1327.04i | −0.784416 | − | 0.241960i | −0.123425 | − | 0.992354i | \(-0.539388\pi\) |
−0.660991 | + | 0.750393i | \(0.729864\pi\) | |||||||
\(312\) | 5001.90 | + | 5418.33i | 0.907617 | + | 0.983181i | ||||
\(313\) | −1394.77 | + | 805.273i | −0.251876 | + | 0.145421i | −0.620623 | − | 0.784109i | \(-0.713120\pi\) |
0.368747 | + | 0.929530i | \(0.379787\pi\) | |||||||
\(314\) | −1602.89 | − | 7022.72i | −0.288077 | − | 1.26215i | ||||
\(315\) | 2917.66 | − | 3072.00i | 0.521877 | − | 0.549485i | ||||
\(316\) | −456.155 | + | 1998.54i | −0.0812048 | + | 0.355781i | ||||
\(317\) | 2571.50 | + | 8336.59i | 0.455614 | + | 1.47706i | 0.834181 | + | 0.551491i | \(0.185941\pi\) |
−0.378567 | + | 0.925574i | \(0.623583\pi\) | |||||||
\(318\) | 7703.19 | − | 557.581i | 1.35841 | − | 0.0983257i | ||||
\(319\) | −3213.04 | − | 8186.70i | −0.563937 | − | 1.43689i | ||||
\(320\) | 3642.39 | − | 1123.53i | 0.636299 | − | 0.196272i | ||||
\(321\) | −1852.23 | + | 3189.40i | −0.322061 | + | 0.554564i | ||||
\(322\) | −856.056 | + | 486.795i | −0.148156 | + | 0.0842485i | ||||
\(323\) | 3176.19 | − | 724.944i | 0.547145 | − | 0.124882i | ||||
\(324\) | 1833.41 | − | 2251.65i | 0.314370 | − | 0.386086i | ||||
\(325\) | −2723.12 | − | 1572.19i | −0.464774 | − | 0.268337i | ||||
\(326\) | −1724.06 | + | 5589.26i | −0.292904 | + | 0.949573i | ||||
\(327\) | 5463.15 | + | 1261.55i | 0.923892 | + | 0.213345i | ||||
\(328\) | 7658.12 | + | 6107.14i | 1.28917 | + | 1.02808i | ||||
\(329\) | −1609.25 | + | 356.226i | −0.269669 | + | 0.0596942i | ||||
\(330\) | 2710.58 | − | 1055.88i | 0.452160 | − | 0.176134i | ||||
\(331\) | 5577.18 | − | 5174.86i | 0.926131 | − | 0.859324i | −0.0642156 | − | 0.997936i | \(-0.520455\pi\) |
0.990347 | + | 0.138612i | \(0.0442641\pi\) | |||||||
\(332\) | 2637.25 | − | 397.502i | 0.435958 | − | 0.0657101i | ||||
\(333\) | −6716.03 | − | 34.1541i | −1.10521 | − | 0.00562052i | ||||
\(334\) | −307.223 | + | 2038.29i | −0.0503308 | + | 0.333923i | ||||
\(335\) | 618.521 | − | 297.864i | 0.100876 | − | 0.0485792i | ||||
\(336\) | 1500.32 | − | 447.888i | 0.243600 | − | 0.0727212i | ||||
\(337\) | 4582.87 | + | 2207.00i | 0.740786 | + | 0.356744i | 0.765916 | − | 0.642940i | \(-0.222286\pi\) |
−0.0251299 | + | 0.999684i | \(0.508000\pi\) | |||||||
\(338\) | −1461.62 | + | 2143.81i | −0.235212 | + | 0.344993i | ||||
\(339\) | −4673.91 | − | 8143.20i | −0.748826 | − | 1.30466i | ||||
\(340\) | −123.447 | + | 1647.29i | −0.0196908 | + | 0.262755i | ||||
\(341\) | 548.121 | − | 1396.59i | 0.0870452 | − | 0.221788i | ||||
\(342\) | −2965.45 | − | 2043.97i | −0.468868 | − | 0.323174i | ||||
\(343\) | −6219.76 | + | 1291.57i | −0.979113 | + | 0.203318i | ||||
\(344\) | 2197.27i | 0.344386i | ||||||||
\(345\) | −730.569 | + | 911.341i | −0.114007 | + | 0.142217i | ||||
\(346\) | −1922.75 | − | 144.090i | −0.298750 | − | 0.0223882i | ||||
\(347\) | 7578.16 | − | 8167.32i | 1.17238 | − | 1.26353i | 0.214387 | − | 0.976749i | \(-0.431225\pi\) |
0.957996 | − | 0.286780i | \(-0.0925848\pi\) | |||||||
\(348\) | −3431.38 | − | 4325.34i | −0.528567 | − | 0.666271i | ||||
\(349\) | 310.479 | − | 644.716i | 0.0476205 | − | 0.0988850i | −0.875801 | − | 0.482672i | \(-0.839666\pi\) |
0.923421 | + | 0.383787i | \(0.125380\pi\) | |||||||
\(350\) | −1639.26 | + | 1101.97i | −0.250350 | + | 0.168294i | ||||
\(351\) | 7441.43 | + | 3653.79i | 1.13161 | + | 0.555627i | ||||
\(352\) | −5200.47 | − | 783.845i | −0.787461 | − | 0.118691i | ||||
\(353\) | −3304.93 | + | 2253.27i | −0.498311 | + | 0.339743i | −0.786253 | − | 0.617905i | \(-0.787982\pi\) |
0.287941 | + | 0.957648i | \(0.407029\pi\) | |||||||
\(354\) | −3960.76 | − | 607.292i | −0.594666 | − | 0.0911786i | ||||
\(355\) | −4818.97 | − | 5193.62i | −0.720464 | − | 0.776475i | ||||
\(356\) | 2359.27 | + | 2958.43i | 0.351239 | + | 0.440440i | ||||
\(357\) | −394.725 | + | 4694.01i | −0.0585183 | + | 0.695892i | ||||
\(358\) | −3539.89 | + | 4438.88i | −0.522595 | + | 0.655313i | ||||
\(359\) | 6048.56 | − | 453.277i | 0.889222 | − | 0.0666380i | 0.377720 | − | 0.925920i | \(-0.376708\pi\) |
0.511502 | + | 0.859282i | \(0.329089\pi\) | |||||||
\(360\) | 4312.85 | − | 3403.65i | 0.631409 | − | 0.498300i | ||||
\(361\) | −1214.63 | + | 2103.81i | −0.177086 | + | 0.306722i | ||||
\(362\) | −1705.82 | − | 2954.56i | −0.247668 | − | 0.428974i | ||||
\(363\) | 1264.66 | + | 98.0077i | 0.182858 | + | 0.0141710i | ||||
\(364\) | −2154.69 | − | 3789.14i | −0.310264 | − | 0.545617i | ||||
\(365\) | 7403.32 | + | 1689.76i | 1.06166 | + | 0.242318i | ||||
\(366\) | −13.3510 | + | 5250.71i | −0.00190675 | + | 0.749888i | ||||
\(367\) | −12551.4 | + | 4926.05i | −1.78522 | + | 0.700648i | −0.788941 | + | 0.614469i | \(0.789370\pi\) |
−0.996280 | + | 0.0861786i | \(0.972534\pi\) | |||||||
\(368\) | −401.821 | + | 157.703i | −0.0569195 | + | 0.0223393i | ||||
\(369\) | 10505.9 | + | 3299.25i | 1.48216 | + | 0.465453i | ||||
\(370\) | −4118.07 | − | 939.922i | −0.578616 | − | 0.132065i | ||||
\(371\) | −13567.8 | − | 2136.01i | −1.89866 | − | 0.298911i | ||||
\(372\) | 72.7736 | − | 939.049i | 0.0101428 | − | 0.130880i | ||||
\(373\) | 6669.83 | + | 11552.5i | 0.925873 | + | 1.60366i | 0.790151 | + | 0.612913i | \(0.210002\pi\) |
0.135723 | + | 0.990747i | \(0.456664\pi\) | |||||||
\(374\) | −1617.16 | + | 2801.00i | −0.223587 | + | 0.387263i | ||||
\(375\) | −4436.23 | + | 6471.34i | −0.610896 | + | 0.891143i | ||||
\(376\) | −2131.40 | + | 159.726i | −0.292336 | + | 0.0219076i | ||||
\(377\) | 9828.05 | − | 12324.0i | 1.34263 | − | 1.68360i | ||||
\(378\) | 4117.10 | − | 3188.84i | 0.560214 | − | 0.433905i | ||||
\(379\) | −2759.37 | − | 3460.14i | −0.373982 | − | 0.468959i | 0.558851 | − | 0.829268i | \(-0.311242\pi\) |
−0.932833 | + | 0.360310i | \(0.882671\pi\) | |||||||
\(380\) | 1527.74 | + | 1646.51i | 0.206240 | + | 0.222274i | ||||
\(381\) | 1406.06 | − | 9170.32i | 0.189067 | − | 1.23310i | ||||
\(382\) | 50.6656 | − | 34.5432i | 0.00678606 | − | 0.00462666i | ||||
\(383\) | 6110.66 | + | 921.034i | 0.815249 | + | 0.122879i | 0.543414 | − | 0.839465i | \(-0.317131\pi\) |
0.271835 | + | 0.962344i | \(0.412370\pi\) | |||||||
\(384\) | −1925.11 | + | 285.159i | −0.255834 | + | 0.0378957i | ||||
\(385\) | −5120.36 | + | 737.497i | −0.677813 | + | 0.0976269i | ||||
\(386\) | −1718.67 | + | 3568.85i | −0.226626 | + | 0.470595i | ||||
\(387\) | 890.760 | + | 2304.00i | 0.117002 | + | 0.302633i | ||||
\(388\) | −560.728 | + | 604.321i | −0.0733676 | + | 0.0790715i | ||||
\(389\) | −13821.2 | − | 1035.76i | −1.80145 | − | 0.135000i | −0.868658 | − | 0.495412i | \(-0.835017\pi\) |
−0.932793 | + | 0.360412i | \(0.882636\pi\) | |||||||
\(390\) | 4068.09 | + | 3261.15i | 0.528194 | + | 0.423422i | ||||
\(391\) | − | 1298.65i | − | 0.167969i | ||||||
\(392\) | −8222.08 | + | 507.926i | −1.05938 | + | 0.0654442i | ||||
\(393\) | 1075.72 | − | 3456.17i | 0.138073 | − | 0.443615i | ||||
\(394\) | 2519.65 | − | 6419.98i | 0.322179 | − | 0.820898i | ||||
\(395\) | −325.864 | + | 4348.36i | −0.0415089 | + | 0.553898i | ||||
\(396\) | −3460.56 | + | 771.357i | −0.439141 | + | 0.0978842i | ||||
\(397\) | −8602.58 | + | 12617.7i | −1.08753 | + | 1.59512i | −0.327970 | + | 0.944688i | \(0.606364\pi\) |
−0.759565 | + | 0.650432i | \(0.774588\pi\) | |||||||
\(398\) | 4091.98 | + | 1970.60i | 0.515358 | + | 0.248184i | ||||
\(399\) | 4313.61 | + | 4734.60i | 0.541230 | + | 0.594052i | ||||
\(400\) | −780.060 | + | 375.657i | −0.0975075 | + | 0.0469572i | ||||
\(401\) | 2009.57 | − | 13332.6i | 0.250257 | − | 1.66035i | −0.412083 | − | 0.911146i | \(-0.635199\pi\) |
0.662341 | − | 0.749203i | \(-0.269563\pi\) | |||||||
\(402\) | 806.965 | − | 246.670i | 0.100119 | − | 0.0306040i | ||||
\(403\) | 2659.01 | − | 400.781i | 0.328672 | − | 0.0495393i | ||||
\(404\) | −1732.83 | + | 1607.83i | −0.213394 | + | 0.198001i | ||||
\(405\) | 3142.53 | − | 5317.39i | 0.385565 | − | 0.652403i | ||||
\(406\) | −4237.74 | − | 8949.27i | −0.518019 | − | 1.09395i | ||||
\(407\) | 6411.50 | + | 5113.00i | 0.780851 | + | 0.622708i | ||||
\(408\) | −1374.43 | + | 5951.97i | −0.166776 | + | 0.722222i | ||||
\(409\) | 348.952 | − | 1131.28i | 0.0421872 | − | 0.136768i | −0.932029 | − | 0.362383i | \(-0.881963\pi\) |
0.974216 | + | 0.225616i | \(0.0724393\pi\) | |||||||
\(410\) | 5997.79 | + | 3462.82i | 0.722462 | + | 0.417114i | ||||
\(411\) | −624.302 | − | 2767.67i | −0.0749259 | − | 0.332163i | ||||
\(412\) | 1675.41 | − | 382.401i | 0.200343 | − | 0.0457270i | ||||
\(413\) | 6616.17 | + | 2646.81i | 0.788282 | + | 0.315353i | ||||
\(414\) | −1057.38 | + | 971.146i | −0.125525 | + | 0.115288i | ||||
\(415\) | 5421.18 | − | 1672.21i | 0.641241 | − | 0.197797i | ||||
\(416\) | −3443.81 | − | 8774.69i | −0.405882 | − | 1.03417i | ||||
\(417\) | 303.821 | + | 4197.40i | 0.0356791 | + | 0.492920i | ||||
\(418\) | 1296.25 | + | 4202.33i | 0.151678 | + | 0.491729i | ||||
\(419\) | −3460.04 | + | 15159.4i | −0.403422 | + | 1.76751i | 0.209950 | + | 0.977712i | \(0.432670\pi\) |
−0.613371 | + | 0.789795i | \(0.710187\pi\) | |||||||
\(420\) | −2938.73 | + | 1382.44i | −0.341417 | + | 0.160610i | ||||
\(421\) | 1097.16 | + | 4806.96i | 0.127012 | + | 0.556477i | 0.997887 | + | 0.0649724i | \(0.0206959\pi\) |
−0.870875 | + | 0.491505i | \(0.836447\pi\) | |||||||
\(422\) | 1144.62 | − | 660.848i | 0.132036 | − | 0.0762312i | ||||
\(423\) | −2170.18 | + | 1031.54i | −0.249451 | + | 0.118570i | ||||
\(424\) | −17019.9 | − | 5249.93i | −1.94943 | − | 0.601319i | ||||
\(425\) | −194.655 | − | 2597.49i | −0.0222168 | − | 0.296463i | ||||
\(426\) | −4887.35 | − | 7207.74i | −0.555852 | − | 0.819756i | ||||
\(427\) | 2137.42 | − | 9089.75i | 0.242241 | − | 1.03017i | ||||
\(428\) | 2210.39 | − | 1762.73i | 0.249634 | − | 0.199077i | ||||
\(429\) | −4368.76 | − | 9131.15i | −0.491669 | − | 1.02764i | ||||
\(430\) | 231.550 | + | 1536.23i | 0.0259682 | + | 0.172288i | ||||
\(431\) | 1467.85 | + | 2152.94i | 0.164046 | + | 0.240611i | 0.899456 | − | 0.437011i | \(-0.143963\pi\) |
−0.735410 | + | 0.677622i | \(0.763010\pi\) | |||||||
\(432\) | 1985.48 | − | 1126.21i | 0.221126 | − | 0.125428i | ||||
\(433\) | 4006.07 | + | 8318.69i | 0.444618 | + | 0.923258i | 0.996029 | + | 0.0890248i | \(0.0283750\pi\) |
−0.551412 | + | 0.834233i | \(0.685911\pi\) | |||||||
\(434\) | 508.462 | − | 1610.85i | 0.0562372 | − | 0.178164i | ||||
\(435\) | −8588.87 | − | 8010.04i | −0.946677 | − | 0.882878i | ||||
\(436\) | −3551.14 | − | 2421.13i | −0.390066 | − | 0.265942i | ||||
\(437\) | −1294.41 | − | 1201.04i | −0.141693 | − | 0.131472i | ||||
\(438\) | 8679.95 | + | 3432.12i | 0.946904 | + | 0.374414i | ||||
\(439\) | −4769.62 | − | 1871.94i | −0.518546 | − | 0.203514i | 0.0916110 | − | 0.995795i | \(-0.470798\pi\) |
−0.610157 | + | 0.792281i | \(0.708894\pi\) | |||||||
\(440\) | −6708.53 | −0.726856 | ||||||||
\(441\) | −8415.57 | + | 3865.78i | −0.908711 | + | 0.417426i | ||||
\(442\) | −5797.00 | −0.623835 | ||||||||
\(443\) | −14799.7 | − | 5808.44i | −1.58725 | − | 0.622951i | −0.602688 | − | 0.797977i | \(-0.705904\pi\) |
−0.984564 | + | 0.175026i | \(0.943999\pi\) | |||||||
\(444\) | 4787.54 | + | 1893.03i | 0.511727 | + | 0.202341i | ||||
\(445\) | 5900.42 | + | 5474.79i | 0.628555 | + | 0.583214i | ||||
\(446\) | 10267.8 | + | 7000.49i | 1.09013 | + | 0.743235i | ||||
\(447\) | −165.363 | − | 154.219i | −0.0174975 | − | 0.0163183i | ||||
\(448\) | −8304.44 | − | 677.069i | −0.875777 | − | 0.0714030i | ||||
\(449\) | −708.238 | − | 1470.67i | −0.0744406 | − | 0.154577i | 0.860427 | − | 0.509573i | \(-0.170197\pi\) |
−0.934868 | + | 0.354996i | \(0.884482\pi\) | |||||||
\(450\) | −1969.34 | + | 2100.92i | −0.206302 | + | 0.220085i | ||||
\(451\) | −7574.28 | − | 11109.4i | −0.790818 | − | 1.15992i | ||||
\(452\) | 1072.70 | + | 7116.88i | 0.111627 | + | 0.740597i | ||||
\(453\) | 7545.76 | + | 15771.4i | 0.782628 | + | 1.63577i | ||||
\(454\) | 7660.62 | − | 6109.14i | 0.791918 | − | 0.631534i | ||||
\(455\) | −5733.46 | − | 7286.96i | −0.590745 | − | 0.750809i | ||||
\(456\) | 4661.40 | + | 6874.51i | 0.478706 | + | 0.705983i | ||||
\(457\) | 45.1480 | + | 602.458i | 0.00462130 | + | 0.0616669i | 0.999038 | − | 0.0438609i | \(-0.0139658\pi\) |
−0.994416 | + | 0.105528i | \(0.966347\pi\) | |||||||
\(458\) | 5226.76 | + | 1612.24i | 0.533254 | + | 0.164487i | ||||
\(459\) | 971.700 | + | 6798.28i | 0.0988128 | + | 0.691322i | ||||
\(460\) | 775.389 | − | 447.671i | 0.0785928 | − | 0.0453756i | ||||
\(461\) | 3296.33 | + | 14442.1i | 0.333027 | + | 1.45908i | 0.813238 | + | 0.581932i | \(0.197703\pi\) |
−0.480211 | + | 0.877153i | \(0.659440\pi\) | |||||||
\(462\) | −6358.42 | − | 57.8245i | −0.640304 | − | 0.00582303i | ||||
\(463\) | −2062.43 | + | 9036.11i | −0.207018 | + | 0.907006i | 0.759520 | + | 0.650484i | \(0.225434\pi\) |
−0.966538 | + | 0.256522i | \(0.917423\pi\) | |||||||
\(464\) | −1279.33 | − | 4147.48i | −0.127998 | − | 0.414961i | ||||
\(465\) | −144.641 | − | 1998.27i | −0.0144249 | − | 0.199285i | ||||
\(466\) | 1448.87 | + | 3691.67i | 0.144030 | + | 0.366982i | ||||
\(467\) | −13678.8 | + | 4219.35i | −1.35542 | + | 0.418090i | −0.885507 | − | 0.464625i | \(-0.846189\pi\) |
−0.469908 | + | 0.882715i | \(0.655713\pi\) | |||||||
\(468\) | −4298.56 | − | 4680.26i | −0.424575 | − | 0.462275i | ||||
\(469\) | −1497.13 | + | 102.336i | −0.147401 | + | 0.0100755i | ||||
\(470\) | −1473.34 | + | 336.281i | −0.144596 | + | 0.0330032i | ||||
\(471\) | 4109.35 | + | 18217.6i | 0.402014 | + | 1.78222i | ||||
\(472\) | 8002.80 | + | 4620.42i | 0.780421 | + | 0.450576i | ||||
\(473\) | 889.041 | − | 2882.20i | 0.0864231 | − | 0.280177i | ||||
\(474\) | −1205.95 | + | 5222.37i | −0.116859 | + | 0.506058i | ||||
\(475\) | −2769.02 | − | 2208.22i | −0.267477 | − | 0.213305i | ||||
\(476\) | 1587.98 | − | 3242.95i | 0.152910 | − | 0.312270i | ||||
\(477\) | −19974.9 | + | 1394.80i | −1.91738 | + | 0.133886i | ||||
\(478\) | 5321.22 | − | 4937.37i | 0.509178 | − | 0.472448i | ||||
\(479\) | 7015.45 | − | 1057.41i | 0.669194 | − | 0.100865i | 0.194347 | − | 0.980933i | \(-0.437741\pi\) |
0.474847 | + | 0.880068i | \(0.342503\pi\) | |||||||
\(480\) | −6716.36 | + | 2053.04i | −0.638664 | + | 0.195225i | ||||
\(481\) | −2190.66 | + | 14534.1i | −0.207663 | + | 1.37775i | ||||
\(482\) | 7300.84 | − | 3515.90i | 0.689925 | − | 0.332250i | ||||
\(483\) | 2222.61 | − | 1256.42i | 0.209384 | − | 0.118362i | ||||
\(484\) | −876.038 | − | 421.878i | −0.0822725 | − | 0.0396204i | ||||
\(485\) | −987.844 | + | 1448.90i | −0.0924859 | + | 0.135652i | ||||
\(486\) | 4808.60 | − | 5875.00i | 0.448812 | − | 0.548344i | ||||
\(487\) | 560.330 | − | 7477.09i | 0.0521376 | − | 0.695727i | −0.908493 | − | 0.417899i | \(-0.862766\pi\) |
0.960631 | − | 0.277828i | \(-0.0896145\pi\) | |||||||
\(488\) | 4423.90 | − | 11271.9i | 0.410370 | − | 1.04560i | ||||
\(489\) | 4506.63 | − | 14479.3i | 0.416763 | − | 1.33901i | ||||
\(490\) | −5694.99 | + | 1221.57i | −0.525047 | + | 0.112622i | ||||
\(491\) | − | 3.23399i | − | 0.000297246i | −1.00000 | 0.000148623i | \(-0.999953\pi\) | |||
1.00000 | 0.000148623i | \(-4.73082e-5\pi\) | ||||||||
\(492\) | −6586.07 | − | 5279.67i | −0.603502 | − | 0.483792i | ||||
\(493\) | 13021.3 | + | 975.813i | 1.18956 | + | 0.0891449i | ||||
\(494\) | −5361.25 | + | 5778.05i | −0.488287 | + | 0.526248i | ||||
\(495\) | −7034.40 | + | 2719.60i | −0.638733 | + | 0.246943i | ||||
\(496\) | 321.258 | − | 667.098i | 0.0290824 | − | 0.0603903i | ||||
\(497\) | 5563.40 | + | 14453.0i | 0.502118 | + | 1.30444i | ||||
\(498\) | 6898.02 | − | 1021.78i | 0.620698 | − | 0.0919417i | ||||
\(499\) | 12800.5 | + | 1929.36i | 1.14835 | + | 0.173086i | 0.695518 | − | 0.718509i | \(-0.255175\pi\) |
0.452834 | + | 0.891595i | \(0.350413\pi\) | |||||||
\(500\) | 4969.21 | − | 3387.95i | 0.444460 | − | 0.303028i | ||||
\(501\) | 809.940 | − | 5282.43i | 0.0722265 | − | 0.471061i | ||||
\(502\) | 518.029 | + | 558.302i | 0.0460573 | + | 0.0496380i | ||||
\(503\) | −2113.92 | − | 2650.77i | −0.187386 | − | 0.234974i | 0.679261 | − | 0.733897i | \(-0.262301\pi\) |
−0.866646 | + | 0.498923i | \(0.833729\pi\) | |||||||
\(504\) | −11516.4 | + | 3406.09i | −1.01782 | + | 0.301030i | ||||
\(505\) | −3135.09 | + | 3931.27i | −0.276256 | + | 0.346415i | ||||
\(506\) | 1748.12 | − | 131.003i | 0.153583 | − | 0.0115095i | ||||
\(507\) | 3803.53 | − | 5548.39i | 0.333177 | − | 0.486021i | ||||
\(508\) | −3555.81 | + | 6158.85i | −0.310558 | + | 0.537903i | ||||
\(509\) | −885.165 | − | 1533.15i | −0.0770810 | − | 0.133508i | 0.824908 | − | 0.565267i | \(-0.191227\pi\) |
−0.901989 | + | 0.431758i | \(0.857893\pi\) | |||||||
\(510\) | −333.717 | + | 4306.19i | −0.0289750 | + | 0.373885i | ||||
\(511\) | −13653.1 | − | 9440.17i | −1.18196 | − | 0.817238i | ||||
\(512\) | −5578.13 | − | 1273.17i | −0.481486 | − | 0.109896i | ||||
\(513\) | 7674.72 | + | 5318.74i | 0.660521 | + | 0.457755i | ||||
\(514\) | 2684.27 | − | 1053.50i | 0.230346 | − | 0.0904043i | ||||
\(515\) | 3402.82 | − | 1335.51i | 0.291157 | − | 0.114271i | ||||
\(516\) | 4.81467 | − | 1893.52i | 0.000410763 | − | 0.161545i | ||||
\(517\) | 2860.42 | + | 652.872i | 0.243329 | + | 0.0555383i | ||||
\(518\) | 7594.51 | + | 5251.05i | 0.644176 | + | 0.445402i | ||||
\(519\) | 4983.95 | + | 386.242i | 0.421524 | + | 0.0326669i | ||||
\(520\) | −6011.98 | − | 10413.0i | −0.507005 | − | 0.878158i | ||||
\(521\) | 3982.40 | − | 6897.72i | 0.334879 | − | 0.580028i | −0.648582 | − | 0.761144i | \(-0.724638\pi\) |
0.983462 | + | 0.181117i | \(0.0579712\pi\) | |||||||
\(522\) | −8942.96 | − | 11331.9i | −0.749852 | − | 0.950157i | ||||
\(523\) | −11187.9 | + | 838.420i | −0.935400 | + | 0.0700985i | −0.533701 | − | 0.845673i | \(-0.679199\pi\) |
−0.401699 | + | 0.915772i | \(0.631580\pi\) | |||||||
\(524\) | −1729.98 | + | 2169.33i | −0.144226 | + | 0.180854i | ||||
\(525\) | 4257.21 | − | 2846.16i | 0.353905 | − | 0.236603i | ||||
\(526\) | 5427.46 | + | 6805.81i | 0.449902 | + | 0.564159i | ||||
\(527\) | 1515.13 | + | 1632.92i | 0.125238 | + | 0.134974i | ||||
\(528\) | −2755.00 | − | 422.417i | −0.227076 | − | 0.0348169i | ||||
\(529\) | 9471.28 | − | 6457.41i | 0.778440 | − | 0.530731i | ||||
\(530\) | −12452.8 | − | 1876.95i | −1.02059 | − | 0.153829i | ||||
\(531\) | 10264.6 | + | 1600.57i | 0.838884 | + | 0.130808i | ||||
\(532\) | −1763.74 | − | 4581.98i | −0.143737 | − | 0.373409i | ||||
\(533\) | 10456.3 | − | 21712.8i | 0.849745 | − | 1.76451i | ||||
\(534\) | 6148.89 | + | 7750.81i | 0.498293 | + | 0.628110i | ||||
\(535\) | 4090.49 | − | 4408.50i | 0.330556 | − | 0.356255i | ||||
\(536\) | −1940.54 | − | 145.423i | −0.156378 | − | 0.0117189i | ||||
\(537\) | 9206.76 | − | 11484.9i | 0.739853 | − | 0.922922i | ||||
\(538\) | 4982.30i | 0.399260i | ||||||||
\(539\) | 10990.6 | + | 2660.50i | 0.878289 | + | 0.212608i | ||||
\(540\) | −3724.10 | + | 2923.67i | −0.296777 | + | 0.232991i | ||||
\(541\) | −352.160 | + | 897.290i | −0.0279862 | + | 0.0713077i | −0.944184 | − | 0.329419i | \(-0.893147\pi\) |
0.916198 | + | 0.400727i | \(0.131242\pi\) | |||||||
\(542\) | 61.8873 | − | 825.829i | 0.00490459 | − | 0.0654472i | ||||
\(543\) | 4403.02 | + | 7671.23i | 0.347977 | + | 0.606269i | ||||
\(544\) | 4398.75 | − | 6451.78i | 0.346682 | − | 0.508489i | ||||
\(545\) | −8237.06 | − | 3966.76i | −0.647407 | − | 0.311775i | ||||
\(546\) | −5608.46 | − | 9921.42i | −0.439597 | − | 0.777651i | ||||
\(547\) | 2186.74 | − | 1053.08i | 0.170929 | − | 0.0823153i | −0.346463 | − | 0.938064i | \(-0.612617\pi\) |
0.517392 | + | 0.855749i | \(0.326903\pi\) | |||||||
\(548\) | −324.145 | + | 2150.56i | −0.0252678 | + | 0.167641i | ||||
\(549\) | 69.2277 | − | 13612.9i | 0.00538172 | − | 1.05826i | ||||
\(550\) | 3476.84 | − | 524.049i | 0.269551 | − | 0.0406282i | ||||
\(551\) | 13015.2 | − | 12076.3i | 1.00629 | − | 0.933698i | ||||
\(552\) | 3085.09 | − | 1201.76i | 0.237881 | − | 0.0926639i | ||||
\(553\) | 4191.80 | − | 8560.44i | 0.322339 | − | 0.658277i | ||||
\(554\) | −189.234 | − | 150.909i | −0.0145122 | − | 0.0115731i | ||||
\(555\) | 10670.3 | + | 2463.98i | 0.816087 | + | 0.188451i | ||||
\(556\) | 950.857 | − | 3082.60i | 0.0725275 | − | 0.235128i | ||||
\(557\) | 16496.8 | + | 9524.42i | 1.25492 | + | 0.724529i | 0.972083 | − | 0.234639i | \(-0.0753908\pi\) |
0.282838 | + | 0.959168i | \(0.408724\pi\) | |||||||
\(558\) | 196.517 | − | 2454.76i | 0.0149090 | − | 0.186233i | ||||
\(559\) | 5270.51 | − | 1202.96i | 0.398781 | − | 0.0910193i | ||||
\(560\) | −2547.12 | + | 174.108i | −0.192206 | + | 0.0131382i | ||||
\(561\) | 4211.11 | − | 7251.21i | 0.316922 | − | 0.545715i | ||||
\(562\) | 1358.41 | − | 419.014i | 0.101959 | − | 0.0314503i | ||||
\(563\) | −5406.54 | − | 13775.6i | −0.404722 | − | 1.03121i | −0.977393 | − | 0.211429i | \(-0.932188\pi\) |
0.572672 | − | 0.819785i | \(-0.305907\pi\) | |||||||
\(564\) | 1837.10 | − | 132.975i | 0.137156 | − | 0.00992777i | ||||
\(565\) | 4512.62 | + | 14629.6i | 0.336013 | + | 1.08933i | ||||
\(566\) | −308.666 | + | 1352.36i | −0.0229226 | + | 0.100431i | ||||
\(567\) | −10695.0 | + | 8240.22i | −0.792148 | + | 0.610329i | ||||
\(568\) | 4468.90 | + | 19579.5i | 0.330125 | + | 1.44637i | ||||
\(569\) | 2329.51 | − | 1344.95i | 0.171631 | − | 0.0990914i | −0.411723 | − | 0.911309i | \(-0.635073\pi\) |
0.583355 | + | 0.812217i | \(0.301740\pi\) | |||||||
\(570\) | 3983.48 | + | 4315.13i | 0.292719 | + | 0.317089i | ||||
\(571\) | 6482.59 | + | 1999.61i | 0.475110 | + | 0.146552i | 0.523057 | − | 0.852298i | \(-0.324792\pi\) |
−0.0479466 | + | 0.998850i | \(0.515268\pi\) | |||||||
\(572\) | 579.856 | + | 7737.63i | 0.0423863 | + | 0.565606i | ||||
\(573\) | −131.583 | + | 89.2225i | −0.00959330 | + | 0.00650493i | ||||
\(574\) | −9361.05 | − | 11897.4i | −0.680701 | − | 0.865139i | ||||
\(575\) | −1103.79 | + | 880.242i | −0.0800542 | + | 0.0638411i | ||||
\(576\) | −12020.3 | + | 1749.30i | −0.869524 | + | 0.126541i | ||||
\(577\) | 989.632 | + | 6565.78i | 0.0714019 | + | 0.473721i | 0.995744 | + | 0.0921571i | \(0.0293762\pi\) |
−0.924343 | + | 0.381564i | \(0.875386\pi\) | |||||||
\(578\) | 2841.72 | + | 4168.03i | 0.204498 | + | 0.299944i | ||||
\(579\) | 4479.33 | − | 9241.24i | 0.321511 | − | 0.663304i | ||||
\(580\) | 3906.07 | + | 8111.04i | 0.279639 | + | 0.580677i | ||||
\(581\) | −12360.0 | − | 1007.72i | −0.882579 | − | 0.0719575i | ||||
\(582\) | −1470.10 | + | 1576.33i | −0.104704 | + | 0.112270i | ||||
\(583\) | 20201.1 | + | 13772.9i | 1.43507 | + | 0.978412i | ||||
\(584\) | −15779.1 | − | 14640.9i | −1.11806 | − | 1.03741i | ||||
\(585\) | −10525.4 | − | 8481.66i | −0.743884 | − | 0.599442i | ||||
\(586\) | 5032.83 | + | 1975.24i | 0.354785 | + | 0.139243i | ||||
\(587\) | −12409.0 | −0.872530 | −0.436265 | − | 0.899818i | \(-0.643699\pi\) | ||||
−0.436265 | + | 0.899818i | \(0.643699\pi\) | |||||||
\(588\) | 7086.57 | − | 419.693i | 0.497016 | − | 0.0294351i | ||||
\(589\) | 3028.83 | 0.211886 | ||||||||
\(590\) | 6082.10 | + | 2387.05i | 0.424400 | + | 0.166565i | ||||
\(591\) | −6574.76 | + | 16627.8i | −0.457614 | + | 1.15732i | ||||
\(592\) | 2966.76 | + | 2752.76i | 0.205968 | + | 0.191111i | ||||
\(593\) | 17371.5 | + | 11843.7i | 1.20297 | + | 0.820173i | 0.987697 | − | 0.156380i | \(-0.0499825\pi\) |
0.215276 | + | 0.976553i | \(0.430935\pi\) | |||||||
\(594\) | −9053.13 | + | 1993.79i | −0.625344 | + | 0.137721i | ||||
\(595\) | 2312.02 | − | 7324.68i | 0.159300 | − | 0.504677i | ||||
\(596\) | 75.2042 | + | 156.163i | 0.00516860 | + | 0.0107327i | ||||
\(597\) | −10595.9 | − | 5135.93i | −0.726399 | − | 0.352093i | ||||
\(598\) | 1769.95 | + | 2596.04i | 0.121035 | + | 0.177525i | ||||
\(599\) | 38.5359 | + | 255.669i | 0.00262861 | + | 0.0174397i | 0.990107 | − | 0.140317i | \(-0.0448120\pi\) |
−0.987478 | + | 0.157756i | \(0.949574\pi\) | |||||||
\(600\) | 5990.47 | − | 2866.12i | 0.407600 | − | 0.195015i | ||||
\(601\) | 16121.6 | − | 12856.5i | 1.09420 | − | 0.872594i | 0.101696 | − | 0.994816i | \(-0.467573\pi\) |
0.992503 | + | 0.122221i | \(0.0390017\pi\) | |||||||
\(602\) | 777.343 | − | 3305.78i | 0.0526281 | − | 0.223810i | ||||
\(603\) | −2093.76 | + | 634.196i | −0.141400 | + | 0.0428300i | ||||
\(604\) | −1001.53 | − | 13364.5i | −0.0674697 | − | 0.900320i | ||||
\(605\) | −1976.41 | − | 609.642i | −0.132814 | − | 0.0409677i | ||||
\(606\) | −4541.34 | + | 4192.31i | −0.304422 | + | 0.281025i | ||||
\(607\) | 7424.79 | − | 4286.71i | 0.496479 | − | 0.286643i | −0.230779 | − | 0.973006i | \(-0.574127\pi\) |
0.727259 | + | 0.686364i | \(0.240794\pi\) | |||||||
\(608\) | −2362.59 | − | 10351.2i | −0.157592 | − | 0.690454i | ||||
\(609\) | 10927.7 | + | 23229.8i | 0.727118 | + | 1.54568i | ||||
\(610\) | 1905.15 | − | 8347.00i | 0.126454 | − | 0.554033i | ||||
\(611\) | 1550.03 | + | 5025.06i | 0.102631 | + | 0.332720i | ||||
\(612\) | 1197.47 | − | 5126.16i | 0.0790929 | − | 0.338583i | ||||
\(613\) | 4037.08 | + | 10286.3i | 0.265997 | + | 0.677749i | 0.999999 | − | 0.00139806i | \(-0.000445016\pi\) |
−0.734002 | + | 0.679147i | \(0.762350\pi\) | |||||||
\(614\) | −18698.0 | + | 5767.57i | −1.22897 | + | 0.379088i | ||||
\(615\) | −15527.0 | − | 9017.23i | −1.01806 | − | 0.591236i | ||||
\(616\) | 13615.0 | + | 5446.69i | 0.890525 | + | 0.356255i | ||||
\(617\) | −18926.5 | + | 4319.85i | −1.23493 | + | 0.281865i | −0.789668 | − | 0.613535i | \(-0.789747\pi\) |
−0.445263 | + | 0.895400i | \(0.646890\pi\) | |||||||
\(618\) | 4383.07 | − | 988.689i | 0.285296 | − | 0.0643542i | ||||
\(619\) | −10570.6 | − | 6102.95i | −0.686380 | − | 0.396282i | 0.115875 | − | 0.993264i | \(-0.463033\pi\) |
−0.802254 | + | 0.596982i | \(0.796366\pi\) | |||||||
\(620\) | −452.677 | + | 1467.54i | −0.0293225 | + | 0.0950612i | ||||
\(621\) | 2747.76 | − | 2510.82i | 0.177559 | − | 0.162247i | ||||
\(622\) | 7054.77 | + | 5625.99i | 0.454775 | + | 0.362671i | ||||
\(623\) | −7529.92 | − | 15901.7i | −0.484237 | − | 1.02261i | ||||
\(624\) | −1813.27 | − | 4654.90i | −0.116328 | − | 0.298630i | ||||
\(625\) | 4502.08 | − | 4177.32i | 0.288133 | − | 0.267349i | ||||
\(626\) | 3191.84 | − | 481.093i | 0.203788 | − | 0.0307162i | ||||
\(627\) | −3332.94 | − | 10903.5i | −0.212288 | − | 0.694487i | ||||
\(628\) | 2133.62 | − | 14155.6i | 0.135574 | − | 0.899476i | ||||
\(629\) | −10970.1 | + | 5282.91i | −0.695398 | + | 0.334886i | ||||
\(630\) | −7692.80 | + | 3594.99i | −0.486490 | + | 0.227346i | ||||
\(631\) | 15844.5 | + | 7630.33i | 0.999622 | + | 0.481393i | 0.860810 | − | 0.508926i | \(-0.169957\pi\) |
0.138812 | + | 0.990319i | \(0.455672\pi\) | |||||||
\(632\) | 6962.91 | − | 10212.7i | 0.438243 | − | 0.642785i | ||||
\(633\) | −2971.90 | + | 1705.77i | −0.186607 | + | 0.107106i | ||||
\(634\) | 1306.67 | − | 17436.3i | 0.0818526 | − | 1.09225i | ||||
\(635\) | −5526.72 | + | 14081.8i | −0.345388 | + | 0.880033i | ||||
\(636\) | 14655.5 | + | 4561.47i | 0.913725 | + | 0.284393i | ||||
\(637\) | 5719.77 | + | 19443.9i | 0.355770 | + | 1.20941i | ||||
\(638\) | 17626.4i | 1.09379i | ||||||||
\(639\) | 12623.4 | + | 18719.0i | 0.781494 | + | 1.15886i | ||||
\(640\) | 3164.39 | + | 237.139i | 0.195443 | + | 0.0146464i | ||||
\(641\) | −9638.37 | + | 10387.7i | −0.593905 | + | 0.640077i | −0.956452 | − | 0.291888i | \(-0.905716\pi\) |
0.362548 | + | 0.931965i | \(0.381907\pi\) | |||||||
\(642\) | 5791.02 | − | 4594.15i | 0.356002 | − | 0.282424i | ||||
\(643\) | 11626.6 | − | 24142.8i | 0.713074 | − | 1.48071i | −0.156899 | − | 0.987615i | \(-0.550150\pi\) |
0.869973 | − | 0.493099i | \(-0.164136\pi\) | |||||||
\(644\) | −1937.12 | + | 279.008i | −0.118530 | + | 0.0170721i | ||||
\(645\) | −590.187 | − | 3984.35i | −0.0360288 | − | 0.243230i | ||||
\(646\) | −6456.57 | − | 973.171i | −0.393236 | − | 0.0592708i | ||||
\(647\) | −4861.60 | + | 3314.58i | −0.295408 | + | 0.201406i | −0.701950 | − | 0.712226i | \(-0.747687\pi\) |
0.406542 | + | 0.913632i | \(0.366735\pi\) | |||||||
\(648\) | −15250.8 | + | 8599.45i | −0.924551 | + | 0.521325i | ||||
\(649\) | −8627.95 | − | 9298.72i | −0.521844 | − | 0.562414i | ||||
\(650\) | 3929.27 | + | 4927.15i | 0.237105 | + | 0.297321i | ||||
\(651\) | −1328.85 | + | 4172.93i | −0.0800030 | + | 0.251229i | ||||
\(652\) | −7247.61 | + | 9088.21i | −0.435335 | + | 0.545892i | ||||
\(653\) | 18502.8 | − | 1386.59i | 1.10883 | − | 0.0830956i | 0.492301 | − | 0.870425i | \(-0.336156\pi\) |
0.616533 | + | 0.787329i | \(0.288537\pi\) | |||||||
\(654\) | −9268.73 | − | 6353.90i | −0.554184 | − | 0.379904i | ||||
\(655\) | −2951.09 | + | 5111.43i | −0.176043 | + | 0.304916i | ||||
\(656\) | −3317.86 | − | 5746.70i | −0.197470 | − | 0.342029i | ||||
\(657\) | −22481.0 | − | 8955.33i | −1.33496 | − | 0.531782i | ||||
\(658\) | 3263.19 | + | 513.732i | 0.193332 | + | 0.0304367i | ||||
\(659\) | 11425.1 | + | 2607.71i | 0.675357 | + | 0.154146i | 0.546426 | − | 0.837508i | \(-0.315988\pi\) |
0.128931 | + | 0.991654i | \(0.458845\pi\) | |||||||
\(660\) | 5781.14 | + | 14.6998i | 0.340955 | + | 0.000866951i | ||||
\(661\) | −18512.6 | + | 7265.66i | −1.08934 | + | 0.427536i | −0.840944 | − | 0.541122i | \(-0.818000\pi\) |
−0.248400 | + | 0.968658i | \(0.579905\pi\) | |||||||
\(662\) | −14194.4 | + | 5570.88i | −0.833354 | + | 0.327067i | ||||
\(663\) | 15029.3 | + | 38.2151i | 0.880374 | + | 0.00223854i | ||||
\(664\) | −15678.2 | − | 3578.45i | −0.916315 | − | 0.209143i | ||||
\(665\) | −5162.51 | − | 9078.56i | −0.301043 | − | 0.529401i | ||||
\(666\) | 12504.9 | + | 4981.36i | 0.727562 | + | 0.289826i | ||||
\(667\) | −3538.70 | − | 6129.22i | −0.205426 | − | 0.355808i | ||||
\(668\) | −2048.27 | + | 3547.72i | −0.118638 | + | 0.205487i | ||||
\(669\) | −26574.2 | − | 18217.1i | −1.53575 | − | 1.05279i | ||||
\(670\) | −1372.06 | + | 102.822i | −0.0791156 | + | 0.00592889i | ||||
\(671\) | −10363.7 | + | 12995.6i | −0.596251 | + | 0.747675i | ||||
\(672\) | 15297.8 | + | 1286.41i | 0.878160 | + | 0.0738455i | ||||
\(673\) | −13383.1 | − | 16781.8i | −0.766536 | − | 0.961206i | 0.233401 | − | 0.972381i | \(-0.425014\pi\) |
−0.999938 | + | 0.0111743i | \(0.996443\pi\) | |||||||
\(674\) | −6934.15 | − | 7473.24i | −0.396281 | − | 0.427089i | ||||
\(675\) | 5119.56 | − | 5433.84i | 0.291929 | − | 0.309850i | ||||
\(676\) | −4260.50 | + | 2904.76i | −0.242404 | + | 0.165268i | ||||
\(677\) | 15403.9 | + | 2321.76i | 0.874473 | + | 0.131806i | 0.570917 | − | 0.821008i | \(-0.306588\pi\) |
0.303556 | + | 0.952814i | \(0.401826\pi\) | |||||||
\(678\) | 2757.36 | + | 18615.0i | 0.156189 | + | 1.05443i | ||||
\(679\) | 3181.20 | − | 2138.51i | 0.179799 | − | 0.120867i | ||||
\(680\) | 4321.69 | − | 8974.09i | 0.243720 | − | 0.506089i | ||||
\(681\) | −19901.2 | + | 15788.0i | −1.11984 | + | 0.888397i | ||||
\(682\) | −2045.24 | + | 2204.24i | −0.114833 | + | 0.123761i | ||||
\(683\) | −7382.13 | − | 553.214i | −0.413572 | − | 0.0309929i | −0.133680 | − | 0.991025i | \(-0.542679\pi\) |
−0.279892 | + | 0.960032i | \(0.590299\pi\) | |||||||
\(684\) | −4001.94 | − | 5934.39i | −0.223711 | − | 0.331735i | ||||
\(685\) | 4626.25i | 0.258044i | ||||||||
\(686\) | 12549.8 | + | 2144.61i | 0.698474 | + | 0.119361i | ||||
\(687\) | −13540.2 | − | 4214.34i | −0.751954 | − | 0.234043i | ||||
\(688\) | 543.827 | − | 1385.65i | 0.0301355 | − | 0.0767839i | ||||
\(689\) | −3274.80 | + | 43699.2i | −0.181074 | + | 2.41626i | ||||
\(690\) | 2030.31 | − | 1165.33i | 0.112018 | − | 0.0642946i | ||||
\(691\) | −8857.40 | + | 12991.4i | −0.487629 | + | 0.715220i | −0.988654 | − | 0.150213i | \(-0.952004\pi\) |
0.501025 | + | 0.865433i | \(0.332956\pi\) | |||||||
\(692\) | −3452.41 | − | 1662.59i | −0.189654 | − | 0.0913328i | ||||
\(693\) | 16484.4 | + | 191.832i | 0.903594 | + | 0.0105153i | ||||
\(694\) | −20118.7 | + | 9688.67i | −1.10043 | + | 0.529938i | ||||
\(695\) | 1022.74 | − | 6785.40i | 0.0558195 | − | 0.370338i | ||||
\(696\) | 9731.68 | + | 31836.5i | 0.529998 | + | 1.73385i | ||||
\(697\) | 19740.6 | − | 2975.42i | 1.07278 | − | 0.161696i | ||||
\(698\) | −1051.33 | + | 975.493i | −0.0570107 | + | 0.0528982i | ||||
\(699\) | −3732.01 | − | 9580.56i | −0.201942 | − | 0.518412i | ||||
\(700\) | −3832.69 | + | 848.409i | −0.206946 | + | 0.0458098i | ||||
\(701\) | −15539.0 | − | 12391.9i | −0.837232 | − | 0.667670i | 0.107971 | − | 0.994154i | \(-0.465565\pi\) |
−0.945203 | + | 0.326484i | \(0.894136\pi\) | |||||||
\(702\) | −11207.9 | − | 12265.6i | −0.602586 | − | 0.659452i | ||||
\(703\) | −4879.83 | + | 15820.0i | −0.261801 | + | 0.848738i | ||||
\(704\) | 12844.7 | + | 7415.91i | 0.687647 | + | 0.397013i | ||||
\(705\) | 3822.00 | − | 862.128i | 0.204177 | − | 0.0460562i | ||||
\(706\) | 7815.84 | − | 1783.91i | 0.416647 | − | 0.0950970i | ||||
\(707\) | 9554.49 | − | 5433.14i | 0.508251 | − | 0.289016i | ||||
\(708\) | −6886.36 | − | 3999.22i | −0.365544 | − | 0.212288i | ||||
\(709\) | −3651.01 | + | 1126.19i | −0.193394 | + | 0.0596542i | −0.389939 | − | 0.920841i | \(-0.627504\pi\) |
0.196545 | + | 0.980495i | \(0.437028\pi\) | |||||||
\(710\) | 5187.76 | + | 13218.2i | 0.274216 | + | 0.698690i | ||||
\(711\) | 3160.97 | − | 13531.5i | 0.166731 | − | 0.713745i | ||||
\(712\) | −6725.19 | − | 21802.5i | −0.353985 | − | 1.14759i | ||||
\(713\) | 268.661 | − | 1177.08i | 0.0141114 | − | 0.0618262i | ||||
\(714\) | 4173.50 | − | 8468.49i | 0.218753 | − | 0.443873i | ||||
\(715\) | 3672.78 | + | 16091.5i | 0.192104 | + | 0.841662i | ||||
\(716\) | −9771.59 | + | 5641.63i | −0.510030 | + | 0.294466i | ||||
\(717\) | −13828.3 | + | 12765.5i | −0.720262 | + | 0.664905i | ||||
\(718\) | −11616.6 | − | 3583.23i | −0.603797 | − | 0.186247i | ||||
\(719\) | 873.514 | + | 11656.2i | 0.0453082 | + | 0.604595i | 0.972934 | + | 0.231084i | \(0.0742272\pi\) |
−0.927626 | + | 0.373511i | \(0.878154\pi\) | |||||||
\(720\) | −3562.19 | + | 1078.98i | −0.184382 | + | 0.0558490i | ||||
\(721\) | −7990.34 | − | 52.3472i | −0.412727 | − | 0.00270390i | ||||
\(722\) | 3806.58 | − | 3035.65i | 0.196214 | − | 0.156475i | ||||
\(723\) | −18951.3 | + | 9067.17i | −0.974835 | + | 0.466406i | ||||
\(724\) | −1010.52 | − | 6704.39i | −0.0518727 | − | 0.344153i | ||||
\(725\) | −7996.60 | − | 11728.9i | −0.409636 | − | 0.600826i | ||||
\(726\) | −2287.69 | − | 1108.87i | −0.116948 | − | 0.0566859i | ||||
\(727\) | 12470.7 | + | 25895.6i | 0.636192 | + | 1.32107i | 0.930828 | + | 0.365457i | \(0.119087\pi\) |
−0.294636 | + | 0.955610i | \(0.595198\pi\) | |||||||
\(728\) | 3746.92 | + | 26014.5i | 0.190756 | + | 1.32440i | ||||
\(729\) | −12505.5 | + | 15199.8i | −0.635345 | + | 0.772229i | ||||
\(730\) | −12574.9 | − | 8573.44i | −0.637560 | − | 0.434681i | ||||
\(731\) | 3282.83 | + | 3046.02i | 0.166101 | + | 0.154119i | ||||
\(732\) | −3837.03 | + | 9703.97i | −0.193744 | + | 0.489985i | ||||
\(733\) | 6724.85 | + | 2639.31i | 0.338865 | + | 0.132995i | 0.528671 | − | 0.848827i | \(-0.322691\pi\) |
−0.189806 | + | 0.981822i | \(0.560786\pi\) | |||||||
\(734\) | 27023.8 | 1.35895 | ||||||||
\(735\) | 14772.8 | − | 3129.49i | 0.741367 | − | 0.157051i | ||||
\(736\) | −4232.31 | −0.211963 | ||||||||
\(737\) | 2486.60 | + | 975.920i | 0.124281 | + | 0.0487768i | ||||
\(738\) | −17184.9 | − | 13848.0i | −0.857160 | − | 0.690722i | ||||
\(739\) | 7900.78 | + | 7330.85i | 0.393281 | + | 0.364912i | 0.851885 | − | 0.523729i | \(-0.175460\pi\) |
−0.458603 | + | 0.888641i | \(0.651650\pi\) | |||||||
\(740\) | −6935.87 | − | 4728.79i | −0.344551 | − | 0.234911i | ||||
\(741\) | 13937.6 | − | 14944.8i | 0.690974 | − | 0.740905i | ||||
\(742\) | 23749.0 | + | 13919.7i | 1.17501 | + | 0.688693i | ||||
\(743\) | 2256.55 | + | 4685.78i | 0.111420 | + | 0.231366i | 0.949221 | − | 0.314610i | \(-0.101874\pi\) |
−0.837801 | + | 0.545975i | \(0.816159\pi\) | |||||||
\(744\) | −2477.09 | + | 5110.45i | −0.122063 | + | 0.251825i | ||||
\(745\) | 207.694 | + | 304.631i | 0.0102139 | + | 0.0149810i | ||||
\(746\) | −3984.74 | − | 26437.0i | −0.195565 | − | 1.29749i | ||||
\(747\) | −17890.5 | + | 2603.58i | −0.876277 | + | 0.127523i | ||||
\(748\) | −5025.40 | + | 4007.62i | −0.245651 | + | 0.195900i | ||||
\(749\) | −11881.0 | + | 5625.98i | −0.579601 | + | 0.274458i | ||||
\(750\) | 13015.1 | − | 8825.12i | 0.633657 | − | 0.429664i | ||||
\(751\) | −93.9738 | − | 1253.99i | −0.00456611 | − | 0.0609306i | 0.994455 | − | 0.105160i | \(-0.0335356\pi\) |
−0.999021 | + | 0.0442299i | \(0.985917\pi\) | |||||||
\(752\) | 1383.64 | + | 426.797i | 0.0670960 | + | 0.0206964i | ||||
\(753\) | −1339.36 | − | 1450.87i | −0.0648193 | − | 0.0702158i | ||||
\(754\) | −27359.9 | + | 15796.2i | −1.32147 | + | 0.762952i | ||||
\(755\) | −6343.65 | − | 27793.4i | −0.305787 | − | 1.33974i | ||||
\(756\) | 9931.82 | − | 2909.99i | 0.477800 | − | 0.139994i | ||||
\(757\) | 5710.15 | − | 25017.8i | 0.274160 | − | 1.20117i | −0.630892 | − | 0.775871i | \(-0.717311\pi\) |
0.905052 | − | 0.425302i | \(-0.139832\pi\) | |||||||
\(758\) | 2614.49 | + | 8475.98i | 0.125281 | + | 0.406150i | ||||
\(759\) | −4533.02 | + | 328.114i | −0.216783 | + | 0.0156914i | ||||
\(760\) | −4947.92 | − | 12607.1i | −0.236158 | − | 0.601720i | ||||
\(761\) | −17883.0 | + | 5516.16i | −0.851848 | + | 0.262760i | −0.689780 | − | 0.724019i | \(-0.742293\pi\) |
−0.162068 | + | 0.986780i | \(0.551816\pi\) | |||||||
\(762\) | −9337.99 | + | 16079.3i | −0.443937 | + | 0.764425i | ||||
\(763\) | 13496.5 | + | 14738.3i | 0.640376 | + | 0.699294i | ||||
\(764\) | 118.810 | − | 27.1177i | 0.00562619 | − | 0.00128414i | ||||
\(765\) | 893.581 | − | 11162.0i | 0.0422320 | − | 0.527534i | ||||
\(766\) | −10726.1 | − | 6192.73i | −0.505941 | − | 0.292105i | ||||
\(767\) | 6701.47 | − | 21725.6i | 0.315484 | − | 1.02277i | ||||
\(768\) | 22022.3 | + | 5085.40i | 1.03472 | + | 0.238937i | ||||
\(769\) | −6155.06 | − | 4908.49i | −0.288631 | − | 0.230175i | 0.468461 | − | 0.883484i | \(-0.344809\pi\) |
−0.757091 | + | 0.653309i | \(0.773380\pi\) | |||||||
\(770\) | 10093.0 | + | 2373.32i | 0.472370 | + | 0.111076i | ||||
\(771\) | −6966.16 | + | 2713.60i | −0.325396 | + | 0.126755i | ||||
\(772\) | −5770.68 | + | 5354.41i | −0.269030 | + | 0.249624i | ||||
\(773\) | 26411.7 | − | 3980.93i | 1.22893 | − | 0.185232i | 0.497693 | − | 0.867353i | \(-0.334181\pi\) |
0.731238 | + | 0.682122i | \(0.238943\pi\) | |||||||
\(774\) | 25.1769 | − | 4950.76i | 0.00116921 | − | 0.229912i | ||||
\(775\) | 360.927 | − | 2394.60i | 0.0167289 | − | 0.110989i | ||||
\(776\) | 4478.55 | − | 2156.75i | 0.207178 | − | 0.0997719i | ||||
\(777\) | −19654.9 | − | 13663.9i | −0.907483 | − | 0.630876i | ||||
\(778\) | 25027.6 | + | 12052.6i | 1.15332 | + | 0.555409i | ||||
\(779\) | 15291.1 | − | 22427.9i | 0.703285 | − | 1.03153i | ||||
\(780\) | 5158.06 | + | 8986.71i | 0.236780 | + | 0.412533i | ||||
\(781\) | 2060.17 | − | 27491.0i | 0.0943900 | − | 1.25955i | ||||
\(782\) | −950.907 | + | 2422.87i | −0.0434838 | + | 0.110795i | ||||
\(783\) | 23110.8 | + | 29437.9i | 1.05480 | + | 1.34358i | ||||
\(784\) | 5310.75 | + | 1714.67i | 0.241925 | + | 0.0781098i | ||||
\(785\) | − | 30451.4i | − | 1.38453i | ||||||
\(786\) | −4537.64 | + | 5660.43i | −0.205919 | + | 0.256871i | ||||
\(787\) | 678.598 | + | 50.8539i | 0.0307362 | + | 0.00230336i | 0.0900893 | − | 0.995934i | \(-0.471285\pi\) |
−0.0593531 | + | 0.998237i | \(0.518904\pi\) | |||||||
\(788\) | 9322.58 | − | 10047.4i | 0.421451 | − | 0.454216i | ||||
\(789\) | −14026.3 | − | 17680.5i | −0.632890 | − | 0.797772i | ||||
\(790\) | 3791.93 | − | 7874.03i | 0.170773 | − | 0.354615i | ||||
\(791\) | 2719.43 | − | 33354.6i | 0.122240 | − | 1.49931i | ||||
\(792\) | 21122.9 | + | 3293.71i | 0.947690 | + | 0.147774i | ||||
\(793\) | −29459.5 | − | 4440.31i | −1.31922 | − | 0.198840i | ||||
\(794\) | 25288.6 | − | 17241.5i | 1.13030 | − | 0.770627i | ||||
\(795\) | 32272.6 | + | 4948.27i | 1.43974 | + | 0.220751i | ||||
\(796\) | 6139.29 | + | 6616.58i | 0.273368 | + | 0.294621i | ||||
\(797\) | −18278.4 | − | 22920.4i | −0.812364 | − | 1.01867i | −0.999341 | − | 0.0363082i | \(-0.988440\pi\) |
0.186976 | − | 0.982364i | \(-0.440131\pi\) | |||||||
\(798\) | −4581.02 | − | 11991.8i | −0.203216 | − | 0.531960i | ||||
\(799\) | −2716.06 | + | 3405.84i | −0.120260 | + | 0.150801i | ||||
\(800\) | −8465.20 | + | 634.379i | −0.374113 | + | 0.0280359i | ||||
\(801\) | −15890.5 | − | 20135.2i | −0.700952 | − | 0.888195i | ||||
\(802\) | −13511.7 | + | 23402.9i | −0.594906 | + | 1.03041i | ||||
\(803\) | 14773.9 | + | 25589.2i | 0.649265 | + | 1.12456i | ||||
\(804\) | 1671.96 | + | 129.572i | 0.0733402 | + | 0.00568365i | ||||
\(805\) | −3986.09 | + | 1201.00i | −0.174523 | + | 0.0525837i | ||||
\(806\) | −5254.32 | − | 1199.26i | −0.229622 | − | 0.0524098i | ||||
\(807\) | 32.8444 | − | 12917.1i | 0.00143269 | − | 0.563448i | ||||
\(808\) | 13268.0 | − | 5207.31i | 0.577681 | − | 0.226723i | ||||
\(809\) | 24207.5 | − | 9500.73i | 1.05203 | − | 0.412890i | 0.224592 | − | 0.974453i | \(-0.427895\pi\) |
0.827434 | + | 0.561563i | \(0.189800\pi\) | |||||||
\(810\) | −9756.48 | + | 7619.49i | −0.423219 | + | 0.330521i | ||||
\(811\) | −27157.3 | − | 6198.47i | −1.17586 | − | 0.268382i | −0.410423 | − | 0.911895i | \(-0.634619\pi\) |
−0.765435 | + | 0.643514i | \(0.777476\pi\) | |||||||
\(812\) | −1341.99 | − | 19632.8i | −0.0579984 | − | 0.848491i | ||||
\(813\) | −165.893 | + | 2140.63i | −0.00715635 | + | 0.0923434i | ||||
\(814\) | −8217.93 | − | 14233.9i | −0.353855 | − | 0.612895i | ||||
\(815\) | −12363.3 | + | 21413.9i | −0.531372 | + | 0.920364i | ||||
\(816\) | 2339.87 | − | 3413.28i | 0.100382 | − | 0.146432i | ||||
\(817\) | 6072.13 | − | 455.043i | 0.260021 | − | 0.0194858i | ||||
\(818\) | −1479.38 | + | 1855.08i | −0.0632339 | + | 0.0792928i | ||||
\(819\) | 14475.1 | + | 25759.2i | 0.617582 | + | 1.09902i | ||||
\(820\) | 8581.52 | + | 10760.9i | 0.365463 | + | 0.458276i | ||||
\(821\) | 27307.4 | + | 29430.3i | 1.16082 | + | 1.25107i | 0.962605 | + | 0.270908i | \(0.0873238\pi\) |
0.198215 | + | 0.980159i | \(0.436486\pi\) | |||||||
\(822\) | −861.807 | + | 5620.71i | −0.0365681 | + | 0.238497i | ||||
\(823\) | 21378.8 | − | 14575.8i | 0.905488 | − | 0.617351i | −0.0184766 | − | 0.999829i | \(-0.505882\pi\) |
0.923965 | + | 0.382478i | \(0.124929\pi\) | |||||||
\(824\) | −10246.2 | − | 1544.37i | −0.433185 | − | 0.0652922i | ||||
\(825\) | −9017.48 | + | 1335.73i | −0.380544 | + | 0.0563685i | ||||
\(826\) | −10405.6 | − | 9782.61i | −0.438325 | − | 0.412083i | ||||
\(827\) | −4872.93 | + | 10118.7i | −0.204895 | + | 0.425469i | −0.977941 | − | 0.208881i | \(-0.933018\pi\) |
0.773046 | + | 0.634350i | \(0.218732\pi\) | |||||||
\(828\) | −2661.24 | + | 1028.87i | −0.111696 | + | 0.0431833i | ||||
\(829\) | −13947.9 | + | 15032.3i | −0.584356 | + | 0.629786i | −0.954150 | − | 0.299328i | \(-0.903238\pi\) |
0.369794 | + | 0.929114i | \(0.379428\pi\) | |||||||
\(830\) | −11338.6 | − | 849.711i | −0.474179 | − | 0.0355348i | ||||
\(831\) | 489.611 | + | 392.493i | 0.0204385 | + | 0.0163844i | ||||
\(832\) | 26583.6i | 1.10772i | ||||||||
\(833\) | −10639.2 | + | 12988.3i | −0.442529 | + | 0.540239i | ||||
\(834\) | 2506.61 | − | 8053.46i | 0.104073 | − | 0.334375i | ||||
\(835\) | −3183.59 | + | 8111.65i | −0.131943 | + | 0.336186i | ||||
\(836\) | −653.125 | + | 8715.35i | −0.0270201 | + | 0.360558i | ||||
\(837\) | −525.671 | + | 6362.89i | −0.0217083 | + | 0.262764i | ||||
\(838\) | 17555.4 | − | 25749.0i | 0.723677 | − | 1.06144i | ||||
\(839\) | 23143.7 | + | 11145.4i | 0.952337 | + | 0.458621i | 0.844505 | − | 0.535548i | \(-0.179895\pi\) |
0.107832 | + | 0.994169i | \(0.465609\pi\) | |||||||
\(840\) | 19540.1 | − | 1285.75i | 0.802615 | − | 0.0528126i | ||||
\(841\) | 42141.6 | − | 20294.3i | 1.72789 | − | 0.832110i | ||||
\(842\) | 1472.83 | − | 9771.61i | 0.0602817 | − | 0.399943i | ||||
\(843\) | −3524.57 | + | 1077.38i | −0.144001 | + | 0.0440177i | ||||
\(844\) | 2597.34 | − | 391.485i | 0.105929 | − | 0.0159662i | ||||
\(845\) | −8040.62 | + | 7460.60i | −0.327344 | + | 0.303731i | ||||
\(846\) | 4804.18 | − | 335.464i | 0.195238 | − | 0.0136330i | ||||
\(847\) | 3516.16 | + | 2841.93i | 0.142641 | + | 0.115289i | ||||
\(848\) | 9433.76 | + | 7523.17i | 0.382024 | + | 0.304654i | ||||
\(849\) | 809.161 | − | 3504.07i | 0.0327095 | − | 0.141648i | ||||
\(850\) | −1538.78 | + | 4988.61i | −0.0620938 | + | 0.201303i | ||||
\(851\) | 5715.22 | + | 3299.69i | 0.230218 | + | 0.132916i | ||||
\(852\) | −3808.21 | − | 16882.6i | −0.153131 | − | 0.678861i | ||||
\(853\) | −41439.9 | + | 9458.38i | −1.66339 | + | 0.379658i | −0.947801 | − | 0.318861i | \(-0.896700\pi\) |
−0.715591 | + | 0.698520i | \(0.753842\pi\) | |||||||
\(854\) | −10643.5 | + | 15393.5i | −0.426478 | + | 0.616808i | ||||
\(855\) | −10299.1 | − | 11213.6i | −0.411956 | − | 0.448536i | ||||
\(856\) | −16289.8 | + | 5024.73i | −0.650435 | + | 0.200633i | ||||
\(857\) | 2808.07 | + | 7154.84i | 0.111927 | + | 0.285186i | 0.975851 | − | 0.218436i | \(-0.0700955\pi\) |
−0.863924 | + | 0.503622i | \(0.832000\pi\) | |||||||
\(858\) | 1464.65 | + | 20234.7i | 0.0582778 | + | 0.805130i | ||||
\(859\) | −8052.28 | − | 26104.8i | −0.319837 | − | 1.03689i | −0.962624 | − | 0.270842i | \(-0.912698\pi\) |
0.642787 | − | 0.766045i | \(-0.277778\pi\) | |||||||
\(860\) | −687.037 | + | 3010.10i | −0.0272416 | + | 0.119353i | ||||
\(861\) | 24191.0 | + | 30907.0i | 0.957521 | + | 1.22335i | ||||
\(862\) | −1162.10 | − | 5091.49i | −0.0459180 | − | 0.201180i | ||||
\(863\) | −33182.8 | + | 19158.1i | −1.30887 | + | 0.755678i | −0.981908 | − | 0.189358i | \(-0.939359\pi\) |
−0.326965 | + | 0.945037i | \(0.606026\pi\) | |||||||
\(864\) | 22155.6 | − | 3166.77i | 0.872393 | − | 0.124694i | ||||
\(865\) | −7788.90 | − | 2402.56i | −0.306163 | − | 0.0944387i | ||||
\(866\) | −1382.89 | − | 18453.3i | −0.0542637 | − | 0.724099i | ||||
\(867\) | −7339.94 | − | 10824.8i | −0.287517 | − | 0.424023i | ||||
\(868\) | 2110.22 | − | 2610.85i | 0.0825177 | − | 0.102095i | ||||
\(869\) | −13265.6 | + | 10578.9i | −0.517841 | + | 0.412964i | ||||
\(870\) | 10158.9 | + | 21233.1i | 0.395884 | + | 0.827438i | ||||
\(871\) | 713.584 | + | 4734.32i | 0.0277599 | + | 0.184175i | ||||
\(872\) | 14598.6 | + | 21412.3i | 0.566940 | + | 0.831549i | ||||
\(873\) | 3821.76 | − | 4077.10i | 0.148164 | − | 0.158063i | ||||
\(874\) | 1535.52 | + | 3188.55i | 0.0594277 | + | 0.123403i | ||||
\(875\) | −26097.9 | + | 10045.9i | −1.00831 | + | 0.388128i | ||||
\(876\) | 13565.7 | + | 12651.5i | 0.523223 | + | 0.487962i | ||||
\(877\) | 4837.81 | + | 3298.36i | 0.186273 | + | 0.126999i | 0.652866 | − | 0.757473i | \(-0.273566\pi\) |
−0.466593 | + | 0.884472i | \(0.654519\pi\) | |||||||
\(878\) | 7527.90 | + | 6984.87i | 0.289356 | + | 0.268483i | ||||
\(879\) | −13035.1 | − | 5154.17i | −0.500184 | − | 0.197777i | ||||
\(880\) | 4230.55 | + | 1660.37i | 0.162059 | + | 0.0636035i | ||||
\(881\) | −23084.8 | −0.882799 | −0.441399 | − | 0.897311i | \(-0.645518\pi\) | ||||
−0.441399 | + | 0.897311i | \(0.645518\pi\) | |||||||
\(882\) | 18531.4 | − | 1050.22i | 0.707464 | − | 0.0400938i | ||||
\(883\) | −26226.2 | −0.999525 | −0.499762 | − | 0.866163i | \(-0.666579\pi\) | ||||
−0.499762 | + | 0.866163i | \(0.666579\pi\) | |||||||
\(884\) | −10724.3 | − | 4208.97i | −0.408028 | − | 0.160139i | ||||
\(885\) | −15752.7 | − | 6228.74i | −0.598328 | − | 0.236584i | ||||
\(886\) | 23358.3 | + | 21673.3i | 0.885708 | + | 0.821817i | ||||
\(887\) | −29710.9 | − | 20256.5i | −1.12468 | − | 0.766796i | −0.149624 | − | 0.988743i | \(-0.547806\pi\) |
−0.975059 | + | 0.221947i | \(0.928759\pi\) | |||||||
\(888\) | −22701.7 | − | 21171.8i | −0.857905 | − | 0.800088i | ||||
\(889\) | 22649.6 | − | 24092.0i | 0.854493 | − | 0.908909i | ||||
\(890\) | −6999.51 | − | 14534.6i | −0.263623 | − | 0.547418i | ||||
\(891\) | 23484.2 | − | 5109.40i | 0.882999 | − | 0.192112i | ||||
\(892\) | 13912.4 | + | 20405.8i | 0.522222 | + | 0.765960i | ||||
\(893\) | 882.802 | + | 5857.01i | 0.0330816 | + | 0.219482i | ||||
\(894\) | 195.591 | + | 408.805i | 0.00731716 | + | 0.0152936i | ||||
\(895\) | −18765.0 | + | 14964.6i | −0.700831 | + | 0.558894i | ||||
\(896\) | −6229.62 | − | 3050.46i | −0.232273 | − | 0.113737i | ||||
\(897\) | −4571.65 | − | 6742.15i | −0.170171 | − | 0.250963i | ||||
\(898\) | 244.482 | + | 3262.39i | 0.00908517 | + | 0.121233i | ||||
\(899\) | 11600.5 | + | 3578.27i | 0.430364 | + | 0.132750i | ||||
\(900\) | −5168.62 | + | 2456.78i | −0.191431 | + | 0.0909917i | ||||
\(901\) | −31437.9 | + | 18150.7i | −1.16243 | + | 0.671128i | ||||
\(902\) | 5996.57 | + | 26272.7i | 0.221357 | + | 0.969828i | ||||
\(903\) | −2037.13 | + | 8565.43i | −0.0750735 | + | 0.315659i | ||||
\(904\) | 9656.79 | − | 42309.2i | 0.355288 | − | 1.55662i | ||||
\(905\) | −4251.07 | − | 13781.6i | −0.156144 | − | 0.506207i | ||||
\(906\) | −2529.76 | − | 34949.5i | −0.0927655 | − | 1.28159i | ||||
\(907\) | 6229.75 | + | 15873.1i | 0.228066 | + | 0.581102i | 0.998400 | − | 0.0565380i | \(-0.0180062\pi\) |
−0.770335 | + | 0.637640i | \(0.779911\pi\) | |||||||
\(908\) | 18607.5 | − | 5739.67i | 0.680081 | − | 0.209777i | ||||
\(909\) | 11801.5 | − | 10839.0i | 0.430617 | − | 0.395498i | ||||
\(910\) | 5361.10 | + | 17793.3i | 0.195295 | + | 0.648178i | ||||
\(911\) | 8252.52 | − | 1883.58i | 0.300130 | − | 0.0685027i | −0.0698041 | − | 0.997561i | \(-0.522237\pi\) |
0.369934 | + | 0.929058i | \(0.379380\pi\) | |||||||
\(912\) | −1238.14 | − | 5488.93i | −0.0449548 | − | 0.199295i | ||||
\(913\) | 19117.5 | + | 11037.5i | 0.692988 | + | 0.400097i | ||||
\(914\) | 356.903 | − | 1157.05i | 0.0129161 | − | 0.0418729i | ||||
\(915\) | −4994.30 | + | 21627.8i | −0.180444 | + | 0.781414i | ||||
\(916\) | 8498.77 | + | 6777.55i | 0.306558 | + | 0.244472i | ||||
\(917\) | 10139.2 | − | 7977.67i | 0.365133 | − | 0.287291i | ||||
\(918\) | 3164.99 | − | 13394.9i | 0.113791 | − | 0.481588i | ||||
\(919\) | −3874.71 | + | 3595.20i | −0.139080 | + | 0.129048i | −0.746645 | − | 0.665222i | \(-0.768337\pi\) |
0.607565 | + | 0.794270i | \(0.292146\pi\) | |||||||
\(920\) | −5338.33 | + | 804.624i | −0.191304 | + | 0.0288344i | ||||
\(921\) | 48514.4 | − | 14829.7i | 1.73573 | − | 0.530571i | ||||
\(922\) | 4425.01 | − | 29358.1i | 0.158059 | − | 1.04865i | ||||
\(923\) | 44518.1 | − | 21438.8i | 1.58757 | − | 0.764536i | ||||
\(924\) | −11720.9 | − | 4723.57i | −0.417305 | − | 0.168175i | ||||
\(925\) | 11925.8 | + | 5743.18i | 0.423912 | + | 0.204145i | ||||
\(926\) | 10464.3 | − | 15348.3i | 0.371359 | − | 0.544683i | ||||
\(927\) | −11370.0 | + | 2534.37i | −0.402849 | + | 0.0897948i | ||||
\(928\) | 3180.17 | − | 42436.4i | 0.112494 | − | 1.50113i | ||||
\(929\) | −306.638 | + | 781.302i | −0.0108294 | + | 0.0275928i | −0.936186 | − | 0.351505i | \(-0.885670\pi\) |
0.925357 | + | 0.379097i | \(0.123765\pi\) | |||||||
\(930\) | −1193.33 | + | 3834.03i | −0.0420761 | + | 0.135186i | ||||
\(931\) | 3106.40 | + | 22616.4i | 0.109353 | + | 0.796159i | ||||
\(932\) | 7881.46i | 0.277002i | ||||||||
\(933\) | −18253.1 | − | 14632.4i | −0.640491 | − | 0.513444i | ||||
\(934\) | 28609.7 | + | 2144.00i | 1.00229 | + | 0.0751113i | ||||
\(935\) | −9299.87 | + | 10022.9i | −0.325282 | + | 0.350570i | ||||
\(936\) | 13817.2 | + | 35738.9i | 0.482509 | + | 1.24804i | ||||
\(937\) | 14407.3 | − | 29917.0i | 0.502311 | − | 1.04306i | −0.483522 | − | 0.875332i | \(-0.660643\pi\) |
0.985833 | − | 0.167728i | \(-0.0536430\pi\) | |||||||
\(938\) | 2868.09 | + | 905.308i | 0.0998363 | + | 0.0315132i | ||||
\(939\) | −8278.32 | + | 1226.24i | −0.287703 | + | 0.0426163i | ||||
\(940\) | −2969.81 | − | 447.626i | −0.103047 | − | 0.0155319i | ||||
\(941\) | −16063.5 | + | 10951.9i | −0.556488 | + | 0.379407i | −0.808661 | − | 0.588275i | \(-0.799807\pi\) |
0.252173 | + | 0.967682i | \(0.418855\pi\) | |||||||
\(942\) | 5672.68 | − | 36997.2i | 0.196206 | − | 1.27965i | ||||
\(943\) | −7359.72 | − | 7931.89i | −0.254152 | − | 0.273911i | ||||
\(944\) | −3903.19 | − | 4894.45i | −0.134574 | − | 0.168751i | ||||
\(945\) | 19968.0 | − | 9269.64i | 0.687365 | − | 0.319091i | ||||
\(946\) | −3769.08 | + | 4726.28i | −0.129538 | + | 0.162436i | ||||
\(947\) | −18163.0 | + | 1361.13i | −0.623250 | + | 0.0467061i | −0.382612 | − | 0.923909i | \(-0.624976\pi\) |
−0.240638 | + | 0.970615i | \(0.577356\pi\) | |||||||
\(948\) | −6022.73 | + | 8785.65i | −0.206339 | + | 0.300996i | ||||
\(949\) | −26479.9 | + | 45864.5i | −0.905767 | + | 1.56883i | ||||
\(950\) | 3549.19 | + | 6147.37i | 0.121211 | + | 0.209944i | ||||
\(951\) | −3502.61 | + | 45196.7i | −0.119432 | + | 1.54112i | ||||
\(952\) | −16057.0 | + | 14704.1i | −0.546650 | + | 0.500593i | ||||
\(953\) | −32068.1 | − | 7319.34i | −1.09002 | − | 0.248790i | −0.360506 | − | 0.932757i | \(-0.617396\pi\) |
−0.729513 | + | 0.683967i | \(0.760253\pi\) | |||||||
\(954\) | 38288.1 | + | 12023.9i | 1.29939 | + | 0.408058i | ||||
\(955\) | 241.309 | − | 94.7066i | 0.00817650 | − | 0.00320904i | ||||
\(956\) | 13428.9 | − | 5270.47i | 0.454313 | − | 0.178305i | ||||
\(957\) | 116.197 | − | 45698.1i | 0.00392489 | − | 1.54359i | ||||
\(958\) | −13862.8 | − | 3164.10i | −0.467524 | − | 0.106709i | ||||
\(959\) | 3756.08 | − | 9389.00i | 0.126476 | − | 0.316149i | ||||
\(960\) | 19747.1 | + | 1530.35i | 0.663892 | + | 0.0514497i | ||||
\(961\) | −13860.0 | − | 24006.3i | −0.465242 | − | 0.805822i | ||||
\(962\) | 14729.3 | − | 25511.9i | 0.493651 | − | 0.855028i | ||||
\(963\) | −15044.1 | + | 11872.6i | −0.503414 | + | 0.397288i | ||||
\(964\) | 16059.1 | − | 1203.46i | 0.536544 | − | 0.0402084i | ||||
\(965\) | −10440.5 | + | 13092.0i | −0.348282 | + | 0.436732i | ||||
\(966\) | −5066.66 | + | 716.617i | −0.168755 | + | 0.0238683i | ||||
\(967\) | −28814.3 | − | 36132.0i | −0.958228 | − | 1.20158i | −0.979426 | − | 0.201804i | \(-0.935319\pi\) |
0.0211979 | − | 0.999775i | \(-0.493252\pi\) | |||||||
\(968\) | 3987.74 | + | 4297.76i | 0.132408 | + | 0.142702i | ||||
\(969\) | 16732.8 | + | 2565.60i | 0.554733 | + | 0.0850557i | ||||
\(970\) | 2903.92 | − | 1979.86i | 0.0961229 | − | 0.0655355i | ||||
\(971\) | 37698.5 | + | 5682.14i | 1.24594 | + | 0.187795i | 0.738713 | − | 0.674020i | \(-0.235434\pi\) |
0.507223 | + | 0.861815i | \(0.330672\pi\) | |||||||
\(972\) | 13161.4 | − | 7377.24i | 0.434312 | − | 0.243441i | ||||
\(973\) | −7584.75 | + | 12940.6i | −0.249903 | + | 0.426370i | ||||
\(974\) | −6520.31 | + | 13539.6i | −0.214501 | + | 0.445416i | ||||
\(975\) | −10154.5 | − | 12800.0i | −0.333543 | − | 0.420439i | ||||
\(976\) | −5579.62 | + | 6013.40i | −0.182991 | + | 0.197218i | ||||
\(977\) | 16084.4 | + | 1205.36i | 0.526699 | + | 0.0394706i | 0.335426 | − | 0.942066i | \(-0.391120\pi\) |
0.191272 | + | 0.981537i | \(0.438739\pi\) | |||||||
\(978\) | −19010.1 | + | 23713.9i | −0.621548 | + | 0.775345i | ||||
\(979\) | 31319.9i | 1.02246i | ||||||||
\(980\) | −11422.5 | − | 1875.04i | −0.372325 | − | 0.0611183i | ||||
\(981\) | 23988.2 | + | 16534.2i | 0.780717 | + | 0.538120i | ||||
\(982\) | −2.36801 | + | 6.03358i | −7.69513e−5 | + | 0.000196069i | ||||
\(983\) | 4315.87 | − | 57591.3i | 0.140035 | − | 1.86864i | −0.278492 | − | 0.960439i | \(-0.589835\pi\) |
0.418527 | − | 0.908204i | \(-0.362546\pi\) | |||||||
\(984\) | 25336.3 | + | 44142.5i | 0.820823 | + | 1.43009i | ||||
\(985\) | 16423.8 | − | 24089.2i | 0.531273 | − | 0.779235i | ||||
\(986\) | −23579.1 | − | 11355.1i | −0.761573 | − | 0.366754i | ||||
\(987\) | −8456.73 | − | 1353.41i | −0.272726 | − | 0.0436469i | ||||
\(988\) | −14113.4 | + | 6796.64i | −0.454460 | + | 0.218856i | ||||
\(989\) | 361.764 | − | 2400.15i | 0.0116314 | − | 0.0771692i | ||||
\(990\) | 15115.3 | + | 76.8682i | 0.485248 | + | 0.00246771i | ||||
\(991\) | 39496.2 | − | 5953.09i | 1.26603 | − | 0.190824i | 0.518516 | − | 0.855068i | \(-0.326485\pi\) |
0.747515 | + | 0.664245i | \(0.231247\pi\) | |||||||
\(992\) | 5321.69 | − | 4937.81i | 0.170327 | − | 0.158040i | ||||
\(993\) | 36837.0 | − | 14349.5i | 1.17723 | − | 0.458577i | ||||
\(994\) | 203.342 | − | 31038.3i | 0.00648854 | − | 0.990419i | ||||
\(995\) | 15011.1 | + | 11970.9i | 0.478275 | + | 0.381411i | ||||
\(996\) | 13503.0 | + | 3118.12i | 0.429578 | + | 0.0991981i | ||||
\(997\) | −14346.6 | + | 46510.4i | −0.455727 | + | 1.47743i | 0.378286 | + | 0.925689i | \(0.376513\pi\) |
−0.834014 | + | 0.551743i | \(0.813963\pi\) | |||||||
\(998\) | −22468.8 | − | 12972.4i | −0.712663 | − | 0.411456i | ||||
\(999\) | −32387.4 | − | 12997.1i | −1.02572 | − | 0.411621i |
(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 | 147.4.o.a.101.19 | ✓ | 648 | |
3.2 | odd | 2 | inner | 147.4.o.a.101.36 | yes | 648 | |
49.33 | odd | 42 | inner | 147.4.o.a.131.36 | yes | 648 | |
147.131 | even | 42 | inner | 147.4.o.a.131.19 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.4.o.a.101.19 | ✓ | 648 | 1.1 | even | 1 | trivial | |
147.4.o.a.101.36 | yes | 648 | 3.2 | odd | 2 | inner | |
147.4.o.a.131.19 | yes | 648 | 147.131 | even | 42 | inner | |
147.4.o.a.131.36 | yes | 648 | 49.33 | odd | 42 | inner |