Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(1624\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 2.16 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.4.f.a.89.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.176293 | + | 3.25153i | −0.0623289 | + | 1.14959i | 0.785341 | + | 0.619064i | \(0.212488\pi\) |
−0.847669 | + | 0.530525i | \(0.821995\pi\) | |||||||
\(3\) | −5.15278 | − | 0.670007i | −0.991652 | − | 0.128943i | ||||
\(4\) | −2.58825 | − | 0.281489i | −0.323531 | − | 0.0351862i | ||||
\(5\) | −0.0532670 | + | 0.158091i | −0.00476434 | + | 0.0141401i | −0.950009 | − | 0.312223i | \(-0.898927\pi\) |
0.945245 | + | 0.326363i | \(0.105823\pi\) | |||||||
\(6\) | 3.08694 | − | 16.6363i | 0.210040 | − | 1.13196i | ||||
\(7\) | 11.3529 | + | 16.7443i | 0.612998 | + | 0.904105i | 0.999837 | − | 0.0180424i | \(-0.00574337\pi\) |
−0.386839 | + | 0.922147i | \(0.626433\pi\) | |||||||
\(8\) | −2.84293 | + | 17.3411i | −0.125641 | + | 0.766376i | ||||
\(9\) | 26.1022 | + | 6.90479i | 0.966747 | + | 0.255733i | ||||
\(10\) | −0.504646 | − | 0.201069i | −0.0159583 | − | 0.00635837i | ||||
\(11\) | 54.2570 | − | 11.9429i | 1.48719 | − | 0.327356i | 0.604234 | − | 0.796807i | \(-0.293479\pi\) |
0.882958 | + | 0.469452i | \(0.155548\pi\) | |||||||
\(12\) | 13.1481 | + | 3.18460i | 0.316294 | + | 0.0766095i | ||||
\(13\) | −57.7437 | + | 49.0480i | −1.23194 | + | 1.04642i | −0.234709 | + | 0.972066i | \(0.575414\pi\) |
−0.997232 | + | 0.0743546i | \(0.976310\pi\) | |||||||
\(14\) | −56.4459 | + | 33.9623i | −1.07756 | + | 0.648344i | ||||
\(15\) | 0.380395 | − | 0.778917i | 0.00654783 | − | 0.0134077i | ||||
\(16\) | −76.2251 | − | 16.7784i | −1.19102 | − | 0.262163i | ||||
\(17\) | −95.7613 | − | 64.9278i | −1.36621 | − | 0.926312i | −0.366216 | − | 0.930530i | \(-0.619347\pi\) |
−0.999991 | + | 0.00421794i | \(0.998657\pi\) | |||||||
\(18\) | −27.0527 | + | 83.6547i | −0.354244 | + | 1.09542i | ||||
\(19\) | −15.9943 | + | 30.1684i | −0.193123 | + | 0.364269i | −0.961096 | − | 0.276213i | \(-0.910920\pi\) |
0.767973 | + | 0.640482i | \(0.221265\pi\) | |||||||
\(20\) | 0.182369 | − | 0.394184i | 0.00203895 | − | 0.00440712i | ||||
\(21\) | −47.2801 | − | 93.8859i | −0.491303 | − | 0.975599i | ||||
\(22\) | 29.2675 | + | 178.524i | 0.283629 | + | 1.73006i | ||||
\(23\) | 6.30792 | − | 5.97518i | 0.0571866 | − | 0.0541700i | −0.658573 | − | 0.752517i | \(-0.728839\pi\) |
0.715759 | + | 0.698347i | \(0.246081\pi\) | |||||||
\(24\) | 26.2676 | − | 87.4500i | 0.223411 | − | 0.743778i | ||||
\(25\) | 99.4895 | + | 75.6299i | 0.795916 | + | 0.605039i | ||||
\(26\) | −149.301 | − | 196.402i | −1.12617 | − | 1.48145i | ||||
\(27\) | −129.872 | − | 53.0675i | −0.925702 | − | 0.378253i | ||||
\(28\) | −24.6708 | − | 46.5341i | −0.166512 | − | 0.314075i | ||||
\(29\) | 34.7310 | − | 1.88306i | 0.222392 | − | 0.0120578i | 0.0573940 | − | 0.998352i | \(-0.481721\pi\) |
0.164998 | + | 0.986294i | \(0.447238\pi\) | |||||||
\(30\) | 2.46561 | + | 1.37418i | 0.0150052 | + | 0.00836300i | ||||
\(31\) | −209.518 | + | 111.079i | −1.21389 | + | 0.643563i | −0.947331 | − | 0.320256i | \(-0.896231\pi\) |
−0.266558 | + | 0.963819i | \(0.585886\pi\) | |||||||
\(32\) | 30.3840 | − | 109.433i | 0.167850 | − | 0.604540i | ||||
\(33\) | −287.576 | + | 25.1864i | −1.51699 | + | 0.132860i | ||||
\(34\) | 227.997 | − | 299.924i | 1.15003 | − | 1.51284i | ||||
\(35\) | −3.25185 | + | 0.902871i | −0.0157046 | + | 0.00436037i | ||||
\(36\) | −65.6154 | − | 25.2188i | −0.303775 | − | 0.116754i | ||||
\(37\) | −206.277 | + | 33.8173i | −0.916532 | + | 0.150258i | −0.601546 | − | 0.798838i | \(-0.705448\pi\) |
−0.314986 | + | 0.949096i | \(0.602000\pi\) | |||||||
\(38\) | −95.2738 | − | 57.3243i | −0.406722 | − | 0.244717i | ||||
\(39\) | 330.403 | − | 214.045i | 1.35659 | − | 0.878835i | ||||
\(40\) | −2.59003 | − | 1.37315i | −0.0102380 | − | 0.00542785i | ||||
\(41\) | 68.2338 | − | 72.0336i | 0.259911 | − | 0.274384i | −0.582960 | − | 0.812501i | \(-0.698105\pi\) |
0.842870 | + | 0.538117i | \(0.180864\pi\) | |||||||
\(42\) | 313.608 | − | 137.181i | 1.15216 | − | 0.503989i | ||||
\(43\) | −50.5051 | + | 229.447i | −0.179115 | + | 0.813728i | 0.798276 | + | 0.602291i | \(0.205745\pi\) |
−0.977392 | + | 0.211437i | \(0.932186\pi\) | |||||||
\(44\) | −143.793 | + | 15.6384i | −0.492672 | + | 0.0535813i | ||||
\(45\) | −2.48197 | + | 3.75872i | −0.00822200 | + | 0.0124515i | ||||
\(46\) | 18.3164 | + | 21.5637i | 0.0587089 | + | 0.0691174i | ||||
\(47\) | −26.0856 | + | 8.78926i | −0.0809569 | + | 0.0272776i | −0.359489 | − | 0.933149i | \(-0.617049\pi\) |
0.278532 | + | 0.960427i | \(0.410152\pi\) | |||||||
\(48\) | 381.529 | + | 137.527i | 1.14727 | + | 0.413547i | ||||
\(49\) | −24.5247 | + | 61.5524i | −0.0715006 | + | 0.179453i | ||||
\(50\) | −263.452 | + | 310.160i | −0.745155 | + | 0.877264i | ||||
\(51\) | 449.934 | + | 398.719i | 1.23536 | + | 1.09474i | ||||
\(52\) | 163.262 | − | 110.694i | 0.435391 | − | 0.295203i | ||||
\(53\) | −343.115 | + | 136.710i | −0.889255 | + | 0.354312i | −0.769617 | − | 0.638506i | \(-0.779553\pi\) |
−0.119638 | + | 0.992818i | \(0.538173\pi\) | |||||||
\(54\) | 195.446 | − | 412.928i | 0.492534 | − | 1.04060i | ||||
\(55\) | −1.00205 | + | 9.21370i | −0.00245666 | + | 0.0225886i | ||||
\(56\) | −322.639 | + | 149.269i | −0.769902 | + | 0.356195i | ||||
\(57\) | 102.628 | − | 144.735i | 0.238481 | − | 0.336326i | ||||
\(58\) | 113.261i | 0.256411i | ||||||||
\(59\) | 145.401 | − | 429.229i | 0.320840 | − | 0.947133i | ||||
\(60\) | −1.20381 | + | 1.90896i | −0.00259019 | + | 0.00410742i | ||||
\(61\) | 808.661 | + | 43.8443i | 1.69735 | + | 0.0920277i | 0.877202 | − | 0.480121i | \(-0.159407\pi\) |
0.820150 | + | 0.572149i | \(0.193890\pi\) | |||||||
\(62\) | −324.241 | − | 700.836i | −0.664172 | − | 1.43559i | ||||
\(63\) | 180.720 | + | 515.451i | 0.361405 | + | 1.03081i | ||||
\(64\) | −241.244 | − | 81.2846i | −0.471180 | − | 0.158759i | ||||
\(65\) | −4.67820 | − | 11.7414i | −0.00892706 | − | 0.0224052i | ||||
\(66\) | −31.1966 | − | 939.502i | −0.0581824 | − | 1.75219i | ||||
\(67\) | −407.542 | − | 66.8131i | −0.743121 | − | 0.121829i | −0.221684 | − | 0.975118i | \(-0.571156\pi\) |
−0.521437 | + | 0.853290i | \(0.674604\pi\) | |||||||
\(68\) | 229.578 | + | 195.005i | 0.409418 | + | 0.347763i | ||||
\(69\) | −36.5067 | + | 26.5624i | −0.0636940 | + | 0.0463440i | ||||
\(70\) | −2.36243 | − | 10.7326i | −0.00403378 | − | 0.0183257i | ||||
\(71\) | 347.601 | + | 1031.64i | 0.581024 | + | 1.72442i | 0.683758 | + | 0.729709i | \(0.260344\pi\) |
−0.102734 | + | 0.994709i | \(0.532759\pi\) | |||||||
\(72\) | −193.943 | + | 433.011i | −0.317451 | + | 0.708761i | ||||
\(73\) | 313.534 | + | 521.097i | 0.502690 | + | 0.835477i | 0.999475 | − | 0.0323963i | \(-0.0103139\pi\) |
−0.496785 | + | 0.867874i | \(0.665486\pi\) | |||||||
\(74\) | −73.5930 | − | 676.676i | −0.115608 | − | 1.06300i | ||||
\(75\) | −461.974 | − | 456.363i | −0.711256 | − | 0.702616i | ||||
\(76\) | 49.8893 | − | 73.5812i | 0.0752986 | − | 0.111057i | ||||
\(77\) | 815.949 | + | 772.908i | 1.20761 | + | 1.14391i | ||||
\(78\) | 637.724 | + | 1112.05i | 0.925744 | + | 1.61429i | ||||
\(79\) | −456.622 | − | 211.256i | −0.650304 | − | 0.300863i | 0.0668650 | − | 0.997762i | \(-0.478700\pi\) |
−0.717169 | + | 0.696899i | \(0.754562\pi\) | |||||||
\(80\) | 6.71279 | − | 11.1567i | 0.00938141 | − | 0.0155920i | ||||
\(81\) | 633.648 | + | 360.460i | 0.869201 | + | 0.494458i | ||||
\(82\) | 222.190 | + | 234.563i | 0.299229 | + | 0.315892i | ||||
\(83\) | 35.7985 | + | 128.935i | 0.0473421 | + | 0.170511i | 0.983442 | − | 0.181224i | \(-0.0580058\pi\) |
−0.936100 | + | 0.351735i | \(0.885592\pi\) | |||||||
\(84\) | 95.9450 | + | 256.309i | 0.124624 | + | 0.332924i | ||||
\(85\) | 15.3654 | − | 11.6805i | 0.0196072 | − | 0.0149050i | ||||
\(86\) | −737.149 | − | 204.669i | −0.924289 | − | 0.256628i | ||||
\(87\) | −180.223 | − | 13.5670i | −0.222091 | − | 0.0167188i | ||||
\(88\) | 52.8537 | + | 974.830i | 0.0640253 | + | 1.18088i | ||||
\(89\) | 78.3603 | + | 1445.27i | 0.0933278 | + | 1.72133i | 0.552949 | + | 0.833215i | \(0.313502\pi\) |
−0.459621 | + | 0.888115i | \(0.652015\pi\) | |||||||
\(90\) | −11.7840 | − | 8.73282i | −0.0138016 | − | 0.0102280i | ||||
\(91\) | −1476.83 | − | 410.040i | −1.70125 | − | 0.472350i | ||||
\(92\) | −18.0084 | + | 13.6896i | −0.0204077 | + | 0.0155135i | ||||
\(93\) | 1154.02 | − | 431.989i | 1.28674 | − | 0.481668i | ||||
\(94\) | −23.9798 | − | 86.3676i | −0.0263120 | − | 0.0947674i | ||||
\(95\) | −3.91738 | − | 4.13553i | −0.00423068 | − | 0.00446628i | ||||
\(96\) | −229.883 | + | 543.528i | −0.244400 | + | 0.577850i | ||||
\(97\) | 741.862 | − | 1232.98i | 0.776543 | − | 1.29062i | −0.175445 | − | 0.984489i | \(-0.556136\pi\) |
0.951988 | − | 0.306135i | \(-0.0990359\pi\) | |||||||
\(98\) | −195.816 | − | 90.5941i | −0.201841 | − | 0.0933814i | ||||
\(99\) | 1498.69 | + | 62.8981i | 1.52145 | + | 0.0638535i | ||||
\(100\) | −236.215 | − | 223.755i | −0.236215 | − | 0.223755i | ||||
\(101\) | 197.546 | − | 291.359i | 0.194619 | − | 0.287042i | −0.717841 | − | 0.696207i | \(-0.754870\pi\) |
0.912460 | + | 0.409165i | \(0.134180\pi\) | |||||||
\(102\) | −1375.77 | + | 1392.68i | −1.33550 | + | 1.35192i | ||||
\(103\) | −154.091 | − | 1416.84i | −0.147408 | − | 1.35539i | −0.801054 | − | 0.598592i | \(-0.795727\pi\) |
0.653646 | − | 0.756800i | \(-0.273238\pi\) | |||||||
\(104\) | −686.385 | − | 1140.78i | −0.647169 | − | 1.07560i | ||||
\(105\) | 17.3610 | − | 2.47353i | 0.0161358 | − | 0.00229897i | ||||
\(106\) | −384.027 | − | 1139.75i | −0.351886 | − | 1.04436i | ||||
\(107\) | −155.666 | − | 707.199i | −0.140643 | − | 0.638949i | −0.993210 | − | 0.116331i | \(-0.962887\pi\) |
0.852567 | − | 0.522618i | \(-0.175044\pi\) | |||||||
\(108\) | 321.205 | + | 173.910i | 0.286184 | + | 0.154949i | ||||
\(109\) | 1446.77 | + | 1228.90i | 1.27134 | + | 1.07988i | 0.992840 | + | 0.119448i | \(0.0381124\pi\) |
0.278498 | + | 0.960437i | \(0.410163\pi\) | |||||||
\(110\) | −29.7819 | − | 4.88250i | −0.0258145 | − | 0.00423207i | ||||
\(111\) | 1085.56 | − | 36.0464i | 0.928255 | − | 0.0308232i | ||||
\(112\) | −584.433 | − | 1466.82i | −0.493069 | − | 1.23751i | ||||
\(113\) | 577.567 | + | 194.605i | 0.480822 | + | 0.162008i | 0.549267 | − | 0.835647i | \(-0.314907\pi\) |
−0.0684446 | + | 0.997655i | \(0.521804\pi\) | |||||||
\(114\) | 452.517 | + | 359.213i | 0.371772 | + | 0.295118i | ||||
\(115\) | 0.608616 | + | 1.31550i | 0.000493511 | + | 0.00106671i | ||||
\(116\) | −90.4225 | − | 4.90257i | −0.0723752 | − | 0.00392407i | ||||
\(117\) | −1845.90 | + | 881.551i | −1.45858 | + | 0.696576i | ||||
\(118\) | 1370.02 | + | 548.444i | 1.06882 | + | 0.427868i | ||||
\(119\) | − | 2340.57i | − | 1.80302i | ||||||
\(120\) | 12.4258 | + | 8.81087i | 0.00945266 | + | 0.00670266i | ||||
\(121\) | 1593.21 | − | 737.097i | 1.19700 | − | 0.553792i | ||||
\(122\) | −285.122 | + | 2621.66i | −0.211588 | + | 1.94552i | ||||
\(123\) | −399.857 | + | 325.456i | −0.293121 | + | 0.238580i | ||||
\(124\) | 573.553 | − | 228.524i | 0.415376 | − | 0.165501i | ||||
\(125\) | −34.5156 | + | 23.4022i | −0.0246974 | + | 0.0167452i | ||||
\(126\) | −1707.86 | + | 496.745i | −1.20753 | + | 0.351219i | ||||
\(127\) | 309.756 | − | 364.673i | 0.216428 | − | 0.254799i | −0.643225 | − | 0.765677i | \(-0.722404\pi\) |
0.859653 | + | 0.510878i | \(0.170680\pi\) | |||||||
\(128\) | 643.131 | − | 1614.14i | 0.444104 | − | 1.11462i | ||||
\(129\) | 413.972 | − | 1148.45i | 0.282544 | − | 0.783840i | ||||
\(130\) | 39.0022 | − | 13.1414i | 0.0263132 | − | 0.00886596i | ||||
\(131\) | −1590.00 | − | 1871.89i | −1.06045 | − | 1.24846i | −0.967523 | − | 0.252784i | \(-0.918654\pi\) |
−0.0929258 | − | 0.995673i | \(-0.529622\pi\) | |||||||
\(132\) | 751.409 | + | 15.7609i | 0.495468 | + | 0.0103925i | ||||
\(133\) | −686.729 | + | 74.6863i | −0.447721 | + | 0.0486926i | ||||
\(134\) | 289.091 | − | 1313.35i | 0.186371 | − | 0.846690i | ||||
\(135\) | 15.3074 | − | 17.7049i | 0.00975889 | − | 0.0112874i | ||||
\(136\) | 1398.16 | − | 1476.02i | 0.881555 | − | 0.930646i | ||||
\(137\) | 415.413 | + | 220.238i | 0.259059 | + | 0.137345i | 0.592877 | − | 0.805293i | \(-0.297992\pi\) |
−0.333818 | + | 0.942638i | \(0.608337\pi\) | |||||||
\(138\) | −79.9325 | − | 123.385i | −0.0493066 | − | 0.0761105i | ||||
\(139\) | 710.744 | + | 427.640i | 0.433701 | + | 0.260949i | 0.715621 | − | 0.698488i | \(-0.246144\pi\) |
−0.281920 | + | 0.959438i | \(0.590971\pi\) | |||||||
\(140\) | 8.67074 | − | 1.42150i | 0.00523437 | − | 0.000858131i | ||||
\(141\) | 140.302 | − | 27.8116i | 0.0837984 | − | 0.0166110i | ||||
\(142\) | −3415.70 | + | 948.364i | −2.01859 | + | 0.560457i | ||||
\(143\) | −2547.23 | + | 3350.82i | −1.48958 | + | 1.95951i | ||||
\(144\) | −1873.79 | − | 964.271i | −1.08437 | − | 0.558027i | ||||
\(145\) | −1.55232 | + | 5.59095i | −0.000889056 | + | 0.00320209i | ||||
\(146\) | −1749.64 | + | 927.599i | −0.991787 | + | 0.525812i | ||||
\(147\) | 167.611 | − | 300.734i | 0.0940429 | − | 0.168736i | ||||
\(148\) | 543.415 | − | 29.4631i | 0.301814 | − | 0.0163639i | ||||
\(149\) | 519.015 | + | 978.967i | 0.285365 | + | 0.538256i | 0.984207 | − | 0.177020i | \(-0.0566458\pi\) |
−0.698842 | + | 0.715276i | \(0.746301\pi\) | |||||||
\(150\) | 1565.32 | − | 1421.67i | 0.852052 | − | 0.773859i | ||||
\(151\) | 1036.45 | + | 1363.43i | 0.558578 | + | 0.734797i | 0.985534 | − | 0.169475i | \(-0.0542073\pi\) |
−0.426956 | + | 0.904272i | \(0.640414\pi\) | |||||||
\(152\) | −477.683 | − | 363.125i | −0.254903 | − | 0.193772i | ||||
\(153\) | −2051.27 | − | 2355.97i | −1.08389 | − | 1.24489i | ||||
\(154\) | −2656.98 | + | 2516.82i | −1.39029 | + | 1.31696i | ||||
\(155\) | −6.40024 | − | 39.0397i | −0.00331664 | − | 0.0202306i | ||||
\(156\) | −915.417 | + | 460.996i | −0.469821 | + | 0.236598i | ||||
\(157\) | −1354.23 | + | 2927.12i | −0.688402 | + | 1.48796i | 0.175596 | + | 0.984462i | \(0.443815\pi\) |
−0.863998 | + | 0.503495i | \(0.832047\pi\) | |||||||
\(158\) | 767.404 | − | 1447.48i | 0.386401 | − | 0.728830i | ||||
\(159\) | 1859.59 | − | 474.544i | 0.927518 | − | 0.236691i | ||||
\(160\) | 15.6819 | + | 10.6326i | 0.00774854 | + | 0.00525364i | ||||
\(161\) | 171.663 | + | 37.7859i | 0.0840307 | + | 0.0184965i | ||||
\(162\) | −1283.75 | + | 1996.78i | −0.622600 | + | 0.968405i | ||||
\(163\) | 2178.23 | − | 1310.60i | 1.04670 | − | 0.629778i | 0.115133 | − | 0.993350i | \(-0.463270\pi\) |
0.931566 | + | 0.363572i | \(0.118443\pi\) | |||||||
\(164\) | −196.883 | + | 167.234i | −0.0937438 | + | 0.0796267i | ||||
\(165\) | 11.3366 | − | 46.8047i | 0.00534879 | − | 0.0220833i | ||||
\(166\) | −425.545 | + | 93.6696i | −0.198968 | + | 0.0437962i | ||||
\(167\) | 574.787 | + | 229.016i | 0.266338 | + | 0.106119i | 0.499484 | − | 0.866323i | \(-0.333523\pi\) |
−0.233147 | + | 0.972442i | \(0.574902\pi\) | |||||||
\(168\) | 1762.50 | − | 552.979i | 0.809404 | − | 0.253948i | ||||
\(169\) | 573.201 | − | 3496.37i | 0.260902 | − | 1.59143i | ||||
\(170\) | 35.2706 | + | 52.0202i | 0.0159125 | + | 0.0234692i | ||||
\(171\) | −625.792 | + | 677.024i | −0.279857 | + | 0.302768i | ||||
\(172\) | 195.307 | − | 579.650i | 0.0865814 | − | 0.256964i | ||||
\(173\) | 2035.17 | + | 221.338i | 0.894399 | + | 0.0972718i | 0.543762 | − | 0.839240i | \(-0.316999\pi\) |
0.350637 | + | 0.936511i | \(0.385965\pi\) | |||||||
\(174\) | 75.8854 | − | 583.607i | 0.0330624 | − | 0.254271i | ||||
\(175\) | −136.874 | + | 2524.50i | −0.0591241 | + | 1.09048i | ||||
\(176\) | −4336.13 | −1.85709 | ||||||||
\(177\) | −1036.80 | + | 2114.30i | −0.440288 | + | 0.897857i | ||||
\(178\) | −4713.15 | −1.98464 | ||||||||
\(179\) | 76.8410 | − | 1417.25i | 0.0320858 | − | 0.591788i | −0.937642 | − | 0.347601i | \(-0.886996\pi\) |
0.969728 | − | 0.244187i | \(-0.0785210\pi\) | |||||||
\(180\) | 7.48199 | − | 9.02986i | 0.00309819 | − | 0.00373914i | ||||
\(181\) | −981.357 | − | 106.729i | −0.403004 | − | 0.0438293i | −0.0956271 | − | 0.995417i | \(-0.530486\pi\) |
−0.307377 | + | 0.951588i | \(0.599451\pi\) | |||||||
\(182\) | 1593.61 | − | 4729.67i | 0.649046 | − | 1.92630i | ||||
\(183\) | −4137.47 | − | 767.728i | −1.67132 | − | 0.310121i | ||||
\(184\) | 85.6832 | + | 126.373i | 0.0343296 | + | 0.0506324i | ||||
\(185\) | 5.64153 | − | 34.4118i | 0.00224202 | − | 0.0136757i | ||||
\(186\) | 1201.18 | + | 3828.50i | 0.473520 | + | 1.50924i | ||||
\(187\) | −5971.15 | − | 2379.12i | −2.33505 | − | 0.930367i | ||||
\(188\) | 69.9902 | − | 15.4060i | 0.0271519 | − | 0.00597659i | ||||
\(189\) | −585.852 | − | 2777.09i | −0.225473 | − | 1.06880i | ||||
\(190\) | 14.1374 | − | 12.0084i | 0.00539807 | − | 0.00458517i | ||||
\(191\) | −146.427 | + | 88.1020i | −0.0554715 | + | 0.0333761i | −0.543019 | − | 0.839720i | \(-0.682719\pi\) |
0.487548 | + | 0.873096i | \(0.337891\pi\) | |||||||
\(192\) | 1188.62 | + | 580.476i | 0.446776 | + | 0.218189i | ||||
\(193\) | 2901.83 | + | 638.741i | 1.08227 | + | 0.238226i | 0.720089 | − | 0.693881i | \(-0.244101\pi\) |
0.362182 | + | 0.932107i | \(0.382032\pi\) | |||||||
\(194\) | 3878.30 | + | 2629.55i | 1.43529 | + | 0.973148i | ||||
\(195\) | 16.2389 | + | 63.6352i | 0.00596354 | + | 0.0233693i | ||||
\(196\) | 80.8025 | − | 152.410i | 0.0294470 | − | 0.0555429i | ||||
\(197\) | 88.9828 | − | 192.333i | 0.0321816 | − | 0.0695593i | −0.890818 | − | 0.454360i | \(-0.849868\pi\) |
0.923000 | + | 0.384801i | \(0.125730\pi\) | |||||||
\(198\) | −468.723 | + | 4861.94i | −0.168236 | + | 1.74507i | ||||
\(199\) | 801.969 | + | 4891.79i | 0.285679 | + | 1.74256i | 0.606191 | + | 0.795319i | \(0.292697\pi\) |
−0.320513 | + | 0.947244i | \(0.603855\pi\) | |||||||
\(200\) | −1594.35 | + | 1510.25i | −0.563687 | + | 0.533953i | ||||
\(201\) | 2055.20 | + | 617.328i | 0.721209 | + | 0.216632i | ||||
\(202\) | 912.535 | + | 693.691i | 0.317850 | + | 0.241623i | ||||
\(203\) | 425.827 | + | 560.166i | 0.147228 | + | 0.193675i | ||||
\(204\) | −1052.31 | − | 1158.64i | −0.361158 | − | 0.397651i | ||||
\(205\) | 7.75323 | + | 14.6242i | 0.00264151 | + | 0.00498241i | ||||
\(206\) | 4634.06 | − | 251.251i | 1.56733 | − | 0.0849782i | ||||
\(207\) | 205.908 | − | 112.410i | 0.0691380 | − | 0.0377442i | ||||
\(208\) | 5224.47 | − | 2769.84i | 1.74159 | − | 0.923335i | ||||
\(209\) | −507.505 | + | 1827.87i | −0.167966 | + | 0.604958i | ||||
\(210\) | 4.98214 | + | 56.8857i | 0.00163715 | + | 0.0186928i | ||||
\(211\) | −2495.07 | + | 3282.21i | −0.814066 | + | 1.07089i | 0.182089 | + | 0.983282i | \(0.441714\pi\) |
−0.996155 | + | 0.0876038i | \(0.972079\pi\) | |||||||
\(212\) | 926.551 | − | 257.256i | 0.300169 | − | 0.0833415i | ||||
\(213\) | −1099.90 | − | 5548.73i | −0.353822 | − | 1.78494i | ||||
\(214\) | 2326.92 | − | 381.479i | 0.743295 | − | 0.121857i | ||||
\(215\) | −33.5832 | − | 20.2063i | −0.0106528 | − | 0.00640958i | ||||
\(216\) | 1289.47 | − | 2101.26i | 0.406190 | − | 0.661912i | ||||
\(217\) | −4238.58 | − | 2247.15i | −1.32596 | − | 0.702980i | ||||
\(218\) | −4250.86 | + | 4487.58i | −1.32066 | + | 1.39421i | ||||
\(219\) | −1266.43 | − | 2895.17i | −0.390765 | − | 0.893321i | ||||
\(220\) | 5.18711 | − | 23.5653i | 0.00158961 | − | 0.00722169i | ||||
\(221\) | 8714.19 | − | 947.726i | 2.65240 | − | 0.288466i | ||||
\(222\) | −74.1695 | + | 3536.07i | −0.0224231 | + | 1.06903i | ||||
\(223\) | 2627.82 | + | 3093.70i | 0.789110 | + | 0.929012i | 0.998811 | − | 0.0487533i | \(-0.0155248\pi\) |
−0.209701 | + | 0.977766i | \(0.567249\pi\) | |||||||
\(224\) | 2177.33 | − | 733.627i | 0.649459 | − | 0.218828i | ||||
\(225\) | 2074.68 | + | 2661.06i | 0.614721 | + | 0.788462i | ||||
\(226\) | −734.584 | + | 1843.67i | −0.216211 | + | 0.542650i | ||||
\(227\) | −1683.37 | + | 1981.81i | −0.492199 | + | 0.579461i | −0.951044 | − | 0.309055i | \(-0.899987\pi\) |
0.458846 | + | 0.888516i | \(0.348263\pi\) | |||||||
\(228\) | −306.368 | + | 345.721i | −0.0889901 | + | 0.100421i | ||||
\(229\) | 126.092 | − | 85.4927i | 0.0363861 | − | 0.0246704i | −0.542858 | − | 0.839824i | \(-0.682658\pi\) |
0.579245 | + | 0.815154i | \(0.303348\pi\) | |||||||
\(230\) | −4.38469 | + | 1.74702i | −0.00125703 | + | 0.000500848i | ||||
\(231\) | −3686.55 | − | 4529.31i | −1.05003 | − | 1.29007i | ||||
\(232\) | −66.0834 | + | 607.627i | −0.0187008 | + | 0.171951i | ||||
\(233\) | 1032.93 | − | 477.885i | 0.290428 | − | 0.134366i | −0.269266 | − | 0.963066i | \(-0.586781\pi\) |
0.559693 | + | 0.828700i | \(0.310919\pi\) | |||||||
\(234\) | −2540.97 | − | 6157.42i | −0.709865 | − | 1.72018i | ||||
\(235\) | − | 4.59207i | − | 0.00127470i | ||||||
\(236\) | −497.157 | + | 1070.02i | −0.137128 | + | 0.295138i | ||||
\(237\) | 2211.33 | + | 1394.49i | 0.606081 | + | 0.382203i | ||||
\(238\) | 7610.43 | + | 412.625i | 2.07273 | + | 0.112380i | ||||
\(239\) | −720.620 | − | 1557.60i | −0.195034 | − | 0.421558i | 0.785243 | − | 0.619188i | \(-0.212538\pi\) |
−0.980277 | + | 0.197629i | \(0.936676\pi\) | |||||||
\(240\) | −42.0646 | + | 52.9906i | −0.0113136 | + | 0.0142522i | ||||
\(241\) | 883.552 | + | 297.703i | 0.236160 | + | 0.0795716i | 0.434893 | − | 0.900482i | \(-0.356786\pi\) |
−0.198733 | + | 0.980054i | \(0.563683\pi\) | |||||||
\(242\) | 2115.82 | + | 5310.31i | 0.562026 | + | 1.41058i | ||||
\(243\) | −3023.53 | − | 2281.92i | −0.798188 | − | 0.602408i | ||||
\(244\) | −2080.68 | − | 341.110i | −0.545909 | − | 0.0894972i | ||||
\(245\) | −8.42451 | − | 7.15584i | −0.00219682 | − | 0.00186600i | ||||
\(246\) | −987.737 | − | 1357.52i | −0.255999 | − | 0.351839i | ||||
\(247\) | −556.130 | − | 2526.52i | −0.143262 | − | 0.650846i | ||||
\(248\) | −1330.60 | − | 3949.07i | −0.340697 | − | 1.01115i | ||||
\(249\) | −98.0746 | − | 688.356i | −0.0249608 | − | 0.175192i | ||||
\(250\) | −70.0080 | − | 116.354i | −0.0177108 | − | 0.0294355i | ||||
\(251\) | −123.141 | − | 1132.26i | −0.0309664 | − | 0.284731i | −0.999375 | − | 0.0353610i | \(-0.988742\pi\) |
0.968408 | − | 0.249370i | \(-0.0802236\pi\) | |||||||
\(252\) | −322.654 | − | 1384.99i | −0.0806559 | − | 0.346214i | ||||
\(253\) | 270.888 | − | 399.530i | 0.0673146 | − | 0.0992816i | ||||
\(254\) | 1131.14 | + | 1071.47i | 0.279424 | + | 0.264685i | ||||
\(255\) | −87.0004 | + | 49.8919i | −0.0213654 | + | 0.0122524i | ||||
\(256\) | 3286.70 | + | 1520.59i | 0.802417 | + | 0.371237i | ||||
\(257\) | 2893.90 | − | 4809.70i | 0.702398 | − | 1.16740i | −0.276098 | − | 0.961130i | \(-0.589041\pi\) |
0.978496 | − | 0.206266i | \(-0.0661311\pi\) | |||||||
\(258\) | 3661.24 | + | 1548.51i | 0.883483 | + | 0.373666i | ||||
\(259\) | −2908.08 | − | 3070.03i | −0.697681 | − | 0.736533i | ||||
\(260\) | 8.80327 | + | 31.7065i | 0.00209983 | + | 0.00756291i | ||||
\(261\) | 919.556 | + | 190.658i | 0.218081 | + | 0.0452162i | ||||
\(262\) | 6366.81 | − | 4839.92i | 1.50131 | − | 1.14126i | ||||
\(263\) | 4114.04 | + | 1142.26i | 0.964571 | + | 0.267812i | 0.713890 | − | 0.700258i | \(-0.246932\pi\) |
0.250681 | + | 0.968070i | \(0.419345\pi\) | |||||||
\(264\) | 380.799 | − | 5058.49i | 0.0887748 | − | 1.17927i | ||||
\(265\) | −3.33581 | − | 61.5255i | −0.000773273 | − | 0.0142622i | ||||
\(266\) | −121.779 | − | 2246.09i | −0.0280705 | − | 0.517731i | ||||
\(267\) | 564.568 | − | 7499.66i | 0.129404 | − | 1.71899i | ||||
\(268\) | 1036.01 | + | 287.648i | 0.236136 | + | 0.0655630i | ||||
\(269\) | −6235.47 | + | 4740.08i | −1.41332 | + | 1.07438i | −0.427979 | + | 0.903789i | \(0.640774\pi\) |
−0.985342 | + | 0.170590i | \(0.945433\pi\) | |||||||
\(270\) | 54.8693 | + | 52.8936i | 0.0123676 | + | 0.0119222i | ||||
\(271\) | −431.899 | − | 1555.56i | −0.0968117 | − | 0.348684i | 0.899240 | − | 0.437455i | \(-0.144120\pi\) |
−0.996052 | + | 0.0887706i | \(0.971706\pi\) | |||||||
\(272\) | 6210.03 | + | 6555.85i | 1.38433 | + | 1.46142i | ||||
\(273\) | 7335.05 | + | 3102.33i | 1.62614 | + | 0.687771i | ||||
\(274\) | −789.344 | + | 1311.90i | −0.174037 | + | 0.289251i | ||||
\(275\) | 6301.24 | + | 2915.27i | 1.38174 | + | 0.639262i | ||||
\(276\) | 101.965 | − | 58.4739i | 0.0222377 | − | 0.0127526i | ||||
\(277\) | −1129.35 | − | 1069.78i | −0.244967 | − | 0.232045i | 0.555358 | − | 0.831611i | \(-0.312581\pi\) |
−0.800325 | + | 0.599566i | \(0.795340\pi\) | |||||||
\(278\) | −1515.78 | + | 2235.61i | −0.327017 | + | 0.482314i | ||||
\(279\) | −6235.86 | + | 1452.74i | −1.33810 | + | 0.311732i | ||||
\(280\) | −6.41201 | − | 58.9574i | −0.00136854 | − | 0.0125835i | ||||
\(281\) | 13.8308 | + | 22.9870i | 0.00293622 | + | 0.00488004i | 0.858322 | − | 0.513112i | \(-0.171507\pi\) |
−0.855386 | + | 0.517992i | \(0.826680\pi\) | |||||||
\(282\) | 65.6958 | + | 461.099i | 0.0138728 | + | 0.0973690i | ||||
\(283\) | 1882.30 | + | 5586.47i | 0.395375 | + | 1.17343i | 0.941872 | + | 0.335971i | \(0.109064\pi\) |
−0.546497 | + | 0.837461i | \(0.684039\pi\) | |||||||
\(284\) | −609.283 | − | 2768.00i | −0.127304 | − | 0.578347i | ||||
\(285\) | 17.4145 | + | 23.9341i | 0.00361947 | + | 0.00497451i | ||||
\(286\) | −10446.2 | − | 8873.12i | −2.15979 | − | 1.83454i | ||||
\(287\) | 1980.80 | + | 324.736i | 0.407397 | + | 0.0667894i | ||||
\(288\) | 1548.70 | − | 2646.65i | 0.316869 | − | 0.541513i | ||||
\(289\) | 3136.12 | + | 7871.08i | 0.638332 | + | 1.60209i | ||||
\(290\) | −17.9055 | − | 6.03305i | −0.00362567 | − | 0.00122163i | ||||
\(291\) | −4648.75 | + | 5856.24i | −0.936477 | + | 1.17972i | ||||
\(292\) | −664.821 | − | 1436.99i | −0.133239 | − | 0.287991i | ||||
\(293\) | −1399.23 | − | 75.8643i | −0.278990 | − | 0.0151264i | −0.0858871 | − | 0.996305i | \(-0.527372\pi\) |
−0.193103 | + | 0.981178i | \(0.561855\pi\) | |||||||
\(294\) | 948.296 | + | 598.009i | 0.188115 | + | 0.118628i | ||||
\(295\) | 60.1121 | + | 45.8502i | 0.0118639 | + | 0.00904917i | ||||
\(296\) | − | 3673.21i | − | 0.721286i | ||||||
\(297\) | −7680.27 | − | 1328.23i | −1.50052 | − | 0.259501i | ||||
\(298\) | −3274.64 | + | 1515.01i | −0.636559 | + | 0.294504i | ||||
\(299\) | −71.1724 | + | 654.420i | −0.0137659 | + | 0.126575i | ||||
\(300\) | 1067.24 | + | 1311.22i | 0.205391 | + | 0.252345i | ||||
\(301\) | −4415.30 | + | 1759.22i | −0.845493 | + | 0.336875i | ||||
\(302\) | −4615.95 | + | 3129.69i | −0.879530 | + | 0.596336i | ||||
\(303\) | −1213.12 | + | 1368.95i | −0.230007 | + | 0.259551i | ||||
\(304\) | 1725.34 | − | 2031.23i | 0.325511 | − | 0.383221i | ||||
\(305\) | −50.0063 | + | 125.506i | −0.00938805 | + | 0.0235622i | ||||
\(306\) | 8022.12 | − | 6254.41i | 1.49867 | − | 1.16843i | ||||
\(307\) | −7774.47 | + | 2619.52i | −1.44532 | + | 0.486984i | −0.929214 | − | 0.369542i | \(-0.879514\pi\) |
−0.516103 | + | 0.856526i | \(0.672618\pi\) | |||||||
\(308\) | −1894.31 | − | 2230.16i | −0.350450 | − | 0.412582i | ||||
\(309\) | −155.298 | + | 7403.90i | −0.0285909 | + | 1.36308i | ||||
\(310\) | 128.067 | − | 13.9281i | 0.0234636 | − | 0.00255182i | ||||
\(311\) | 918.098 | − | 4170.96i | 0.167397 | − | 0.760494i | −0.815857 | − | 0.578254i | \(-0.803734\pi\) |
0.983254 | − | 0.182240i | \(-0.0583347\pi\) | |||||||
\(312\) | 2772.46 | + | 6338.07i | 0.503075 | + | 1.15007i | ||||
\(313\) | 4845.07 | − | 5114.88i | 0.874950 | − | 0.923674i | −0.122682 | − | 0.992446i | \(-0.539150\pi\) |
0.997632 | + | 0.0687721i | \(0.0219081\pi\) | |||||||
\(314\) | −9278.86 | − | 4919.34i | −1.66763 | − | 0.884122i | ||||
\(315\) | −91.1144 | + | 1.11359i | −0.0162975 | + | 0.000199186i | ||||
\(316\) | 1122.39 | + | 675.318i | 0.199808 | + | 0.120220i | ||||
\(317\) | 2279.31 | − | 373.673i | 0.403844 | − | 0.0662069i | 0.0435632 | − | 0.999051i | \(-0.486129\pi\) |
0.360281 | + | 0.932844i | \(0.382681\pi\) | |||||||
\(318\) | 1215.16 | + | 6130.18i | 0.214286 | + | 1.08102i | ||||
\(319\) | 1861.91 | − | 516.957i | 0.326793 | − | 0.0907336i | ||||
\(320\) | 25.7007 | − | 33.8087i | 0.00448972 | − | 0.00590613i | ||||
\(321\) | 328.285 | + | 3748.34i | 0.0570813 | + | 0.651750i | ||||
\(322\) | −153.125 | + | 551.506i | −0.0265010 | + | 0.0954478i | ||||
\(323\) | 3490.40 | − | 1850.49i | 0.601273 | − | 0.318775i | ||||
\(324\) | −1538.57 | − | 1111.33i | −0.263816 | − | 0.190557i | ||||
\(325\) | −9454.39 | + | 512.602i | −1.61365 | + | 0.0874894i | ||||
\(326\) | 3877.44 | + | 7313.62i | 0.658746 | + | 1.24253i | ||||
\(327\) | −6631.53 | − | 7301.60i | −1.12148 | − | 1.23480i | ||||
\(328\) | 1055.16 | + | 1388.04i | 0.177626 | + | 0.233663i | ||||
\(329\) | −443.317 | − | 337.001i | −0.0742883 | − | 0.0564725i | ||||
\(330\) | 150.188 | + | 45.1125i | 0.0250533 | + | 0.00752534i | ||||
\(331\) | 2069.69 | − | 1960.51i | 0.343687 | − | 0.325557i | −0.496313 | − | 0.868143i | \(-0.665313\pi\) |
0.840000 | + | 0.542586i | \(0.182555\pi\) | |||||||
\(332\) | −56.3618 | − | 343.792i | −0.00931704 | − | 0.0568314i | ||||
\(333\) | −5617.77 | − | 541.590i | −0.924481 | − | 0.0891260i | ||||
\(334\) | −845.983 | + | 1828.56i | −0.138593 | + | 0.299564i | ||||
\(335\) | 32.2710 | − | 60.8696i | 0.00526315 | − | 0.00992735i | ||||
\(336\) | 2028.67 | + | 7949.74i | 0.329385 | + | 1.29076i | ||||
\(337\) | 3837.31 | + | 2601.76i | 0.620272 | + | 0.420555i | 0.830438 | − | 0.557111i | \(-0.188090\pi\) |
−0.210166 | + | 0.977666i | \(0.567400\pi\) | |||||||
\(338\) | 11267.5 | + | 2480.16i | 1.81323 | + | 0.399122i | ||||
\(339\) | −2845.68 | − | 1389.73i | −0.455918 | − | 0.222654i | ||||
\(340\) | −43.0574 | + | 25.9068i | −0.00686799 | + | 0.00413233i | ||||
\(341\) | −10041.2 | + | 8529.09i | −1.59461 | + | 1.35447i | ||||
\(342\) | −2091.04 | − | 2154.13i | −0.330616 | − | 0.340591i | ||||
\(343\) | 5467.63 | − | 1203.52i | 0.860712 | − | 0.189457i | ||||
\(344\) | −3835.28 | − | 1528.12i | −0.601118 | − | 0.239507i | ||||
\(345\) | −2.25467 | − | 7.18627i | −0.000351847 | − | 0.00112144i | ||||
\(346\) | −1078.47 | + | 6578.39i | −0.167569 | + | 1.02213i | ||||
\(347\) | 2262.15 | + | 3336.42i | 0.349967 | + | 0.516163i | 0.961408 | − | 0.275127i | \(-0.0887200\pi\) |
−0.611441 | + | 0.791290i | \(0.709410\pi\) | |||||||
\(348\) | 462.642 | + | 85.8455i | 0.0712650 | + | 0.0132236i | ||||
\(349\) | 1694.12 | − | 5027.97i | 0.259840 | − | 0.771178i | −0.735740 | − | 0.677264i | \(-0.763166\pi\) |
0.995580 | − | 0.0939139i | \(-0.0299378\pi\) | |||||||
\(350\) | −8184.34 | − | 890.100i | −1.24992 | − | 0.135937i | ||||
\(351\) | 10102.2 | − | 3305.67i | 1.53622 | − | 0.502688i | ||||
\(352\) | 341.598 | − | 6300.40i | 0.0517251 | − | 0.954013i | ||||
\(353\) | 7882.96 | 1.18858 | 0.594288 | − | 0.804252i | \(-0.297434\pi\) | ||||
0.594288 | + | 0.804252i | \(0.297434\pi\) | |||||||
\(354\) | −6691.93 | − | 3743.93i | −1.00472 | − | 0.562112i | ||||
\(355\) | −181.609 | −0.0271516 | ||||||||
\(356\) | 204.012 | − | 3762.78i | 0.0303725 | − | 0.560188i | ||||
\(357\) | −1568.20 | + | 12060.4i | −0.232487 | + | 1.78797i | ||||
\(358\) | 4594.67 | + | 499.701i | 0.678313 | + | 0.0737710i | ||||
\(359\) | 1920.85 | − | 5700.88i | 0.282392 | − | 0.838108i | −0.708769 | − | 0.705441i | \(-0.750749\pi\) |
0.991161 | − | 0.132668i | \(-0.0423543\pi\) | |||||||
\(360\) | −58.1242 | − | 53.7258i | −0.00850949 | − | 0.00786555i | ||||
\(361\) | 3194.87 | + | 4712.07i | 0.465792 | + | 0.686992i | ||||
\(362\) | 520.038 | − | 3172.09i | 0.0755044 | − | 0.460557i | ||||
\(363\) | −8703.31 | + | 2730.64i | −1.25842 | + | 0.394824i | ||||
\(364\) | 3706.99 | + | 1477.00i | 0.533788 | + | 0.212681i | ||||
\(365\) | −99.0817 | + | 21.8095i | −0.0142087 | + | 0.00312757i | ||||
\(366\) | 3225.70 | − | 13317.8i | 0.460683 | − | 1.90200i | ||||
\(367\) | −4304.78 | + | 3656.51i | −0.612283 | + | 0.520078i | −0.899006 | − | 0.437936i | \(-0.855710\pi\) |
0.286724 | + | 0.958013i | \(0.407434\pi\) | |||||||
\(368\) | −581.075 | + | 349.621i | −0.0823115 | + | 0.0495252i | ||||
\(369\) | 2278.43 | − | 1409.09i | 0.321437 | − | 0.198793i | ||||
\(370\) | 110.896 | + | 24.4101i | 0.0155817 | + | 0.00342979i | ||||
\(371\) | −6184.45 | − | 4193.16i | −0.865447 | − | 0.586787i | ||||
\(372\) | −3108.50 | + | 793.250i | −0.433248 | + | 0.110559i | ||||
\(373\) | −699.401 | + | 1319.21i | −0.0970874 | + | 0.183126i | −0.927298 | − | 0.374323i | \(-0.877875\pi\) |
0.830211 | + | 0.557449i | \(0.188220\pi\) | |||||||
\(374\) | 8788.46 | − | 18995.9i | 1.21508 | − | 2.62635i | ||||
\(375\) | 193.531 | − | 97.4605i | 0.0266504 | − | 0.0134209i | ||||
\(376\) | −78.2560 | − | 477.340i | −0.0107334 | − | 0.0654706i | ||||
\(377\) | −1913.14 | + | 1812.22i | −0.261357 | + | 0.247570i | ||||
\(378\) | 9133.06 | − | 1415.33i | 1.24273 | − | 0.192584i | ||||
\(379\) | −3347.88 | − | 2544.99i | −0.453744 | − | 0.344928i | 0.353207 | − | 0.935545i | \(-0.385091\pi\) |
−0.806952 | + | 0.590618i | \(0.798884\pi\) | |||||||
\(380\) | 8.97506 | + | 11.8065i | 0.00121161 | + | 0.00159384i | ||||
\(381\) | −1840.43 | + | 1671.54i | −0.247476 | + | 0.224765i | ||||
\(382\) | −260.652 | − | 491.642i | −0.0349113 | − | 0.0658497i | ||||
\(383\) | −6427.24 | + | 348.475i | −0.857484 | + | 0.0464914i | −0.477636 | − | 0.878558i | \(-0.658506\pi\) |
−0.379848 | + | 0.925049i | \(0.624024\pi\) | |||||||
\(384\) | −4395.39 | + | 7886.38i | −0.584118 | + | 1.04805i | ||||
\(385\) | −165.653 | + | 87.8235i | −0.0219284 | + | 0.0116257i | ||||
\(386\) | −2588.46 | + | 9322.78i | −0.341319 | + | 1.22932i | ||||
\(387\) | −2902.57 | + | 5640.34i | −0.381256 | + | 0.740864i | ||||
\(388\) | −2267.20 | + | 2982.45i | −0.296648 | + | 0.390234i | ||||
\(389\) | −4861.62 | + | 1349.82i | −0.633660 | + | 0.175935i | −0.569482 | − | 0.822004i | \(-0.692856\pi\) |
−0.0641778 | + | 0.997938i | \(0.520442\pi\) | |||||||
\(390\) | −209.774 | + | 41.5828i | −0.0272368 | + | 0.00539904i | ||||
\(391\) | −992.009 | + | 162.632i | −0.128307 | + | 0.0210349i | ||||
\(392\) | −997.665 | − | 600.275i | −0.128545 | − | 0.0773430i | ||||
\(393\) | 6938.72 | + | 10710.7i | 0.890616 | + | 1.37477i | ||||
\(394\) | 609.690 | + | 323.237i | 0.0779587 | + | 0.0413311i | ||||
\(395\) | 57.7205 | − | 60.9348i | 0.00735249 | − | 0.00776193i | ||||
\(396\) | −3861.28 | − | 584.661i | −0.489992 | − | 0.0741928i | ||||
\(397\) | 1469.50 | − | 6676.00i | 0.185773 | − | 0.843977i | −0.787859 | − | 0.615855i | \(-0.788811\pi\) |
0.973633 | − | 0.228122i | \(-0.0732585\pi\) | |||||||
\(398\) | −16047.2 | + | 1745.24i | −2.02104 | + | 0.219801i | ||||
\(399\) | 3588.60 | + | 75.2714i | 0.450262 | + | 0.00944432i | ||||
\(400\) | −6314.64 | − | 7434.17i | −0.789330 | − | 0.929271i | ||||
\(401\) | 5307.97 | − | 1788.46i | 0.661016 | − | 0.222722i | 0.0312554 | − | 0.999511i | \(-0.490049\pi\) |
0.629761 | + | 0.776789i | \(0.283153\pi\) | |||||||
\(402\) | −2369.58 | + | 6573.73i | −0.293990 | + | 0.815591i | ||||
\(403\) | 6650.13 | − | 16690.6i | 0.822002 | − | 2.06307i | ||||
\(404\) | −593.313 | + | 698.502i | −0.0730654 | + | 0.0860193i | ||||
\(405\) | −90.7379 | + | 80.9732i | −0.0111328 | + | 0.00993480i | ||||
\(406\) | −1896.47 | + | 1285.84i | −0.231823 | + | 0.157180i | ||||
\(407\) | −10788.1 | + | 4298.37i | −1.31387 | + | 0.523494i | ||||
\(408\) | −8193.36 | + | 6668.83i | −0.994196 | + | 0.809207i | ||||
\(409\) | 367.895 | − | 3382.74i | 0.0444774 | − | 0.408963i | −0.950642 | − | 0.310288i | \(-0.899574\pi\) |
0.995120 | − | 0.0986741i | \(-0.0314601\pi\) | |||||||
\(410\) | −48.9177 | + | 22.6317i | −0.00589237 | + | 0.00272610i | ||||
\(411\) | −1992.97 | − | 1413.17i | −0.239187 | − | 0.169602i | ||||
\(412\) | 3710.51i | 0.443699i | ||||||||
\(413\) | 8837.84 | − | 2438.36i | 1.05298 | − | 0.290518i | ||||
\(414\) | 329.205 | + | 689.332i | 0.0390810 | + | 0.0818329i | ||||
\(415\) | −22.2902 | − | 1.20854i | −0.00263659 | − | 0.000142952i | ||||
\(416\) | 3613.00 | + | 7809.37i | 0.425822 | + | 0.920399i | ||||
\(417\) | −3375.78 | − | 2679.74i | −0.396433 | − | 0.314694i | ||||
\(418\) | −5853.89 | − | 1972.40i | −0.684983 | − | 0.230798i | ||||
\(419\) | 1494.41 | + | 3750.69i | 0.174241 | + | 0.437311i | 0.989998 | − | 0.141084i | \(-0.0450587\pi\) |
−0.815757 | + | 0.578395i | \(0.803679\pi\) | |||||||
\(420\) | −45.6308 | + | 1.51519i | −0.00530132 | + | 0.000176033i | ||||
\(421\) | −9907.45 | − | 1624.24i | −1.14693 | − | 0.188030i | −0.441806 | − | 0.897110i | \(-0.645662\pi\) |
−0.705128 | + | 0.709080i | \(0.749110\pi\) | |||||||
\(422\) | −10232.3 | − | 8691.43i | −1.18034 | − | 1.00259i | ||||
\(423\) | −741.579 | + | 49.3034i | −0.0852407 | + | 0.00566717i | ||||
\(424\) | −1395.24 | − | 6338.66i | −0.159809 | − | 0.726020i | ||||
\(425\) | −4616.76 | − | 13702.1i | −0.526931 | − | 1.56388i | ||||
\(426\) | 18235.7 | − | 2598.17i | 2.07400 | − | 0.295497i | ||||
\(427\) | 8446.50 | + | 14038.2i | 0.957271 | + | 1.59100i | ||||
\(428\) | 203.835 | + | 1874.23i | 0.0230204 | + | 0.211669i | ||||
\(429\) | 15370.4 | − | 15559.4i | 1.72981 | − | 1.75108i | ||||
\(430\) | 71.6219 | − | 105.634i | 0.00803236 | − | 0.0118468i | ||||
\(431\) | −9097.14 | − | 8617.27i | −1.01669 | − | 0.963061i | −0.0173677 | − | 0.999849i | \(-0.505529\pi\) |
−0.999323 | + | 0.0367885i | \(0.988287\pi\) | |||||||
\(432\) | 9009.15 | + | 6224.12i | 1.00336 | + | 0.693190i | ||||
\(433\) | 5207.52 | + | 2409.25i | 0.577961 | + | 0.267393i | 0.687016 | − | 0.726642i | \(-0.258920\pi\) |
−0.109054 | + | 0.994036i | \(0.534782\pi\) | |||||||
\(434\) | 8053.91 | − | 13385.7i | 0.890783 | − | 1.48049i | ||||
\(435\) | 11.7447 | − | 27.7688i | 0.00129452 | − | 0.00306072i | ||||
\(436\) | −3398.69 | − | 3587.96i | −0.373321 | − | 0.394110i | ||||
\(437\) | 79.3710 | + | 285.868i | 0.00868840 | + | 0.0312928i | ||||
\(438\) | 9636.98 | − | 3607.44i | 1.05131 | − | 0.393539i | ||||
\(439\) | −443.393 | + | 337.058i | −0.0482049 | + | 0.0366444i | −0.628999 | − | 0.777406i | \(-0.716535\pi\) |
0.580794 | + | 0.814050i | \(0.302742\pi\) | |||||||
\(440\) | −156.927 | − | 43.5705i | −0.0170027 | − | 0.00472078i | ||||
\(441\) | −1065.15 | + | 1437.31i | −0.115015 | + | 0.155201i | ||||
\(442\) | 1545.31 | + | 28501.5i | 0.166296 | + | 3.06715i | ||||
\(443\) | 79.9579 | + | 1474.74i | 0.00857542 | + | 0.158164i | 0.999685 | + | 0.0251133i | \(0.00799467\pi\) |
−0.991109 | + | 0.133051i | \(0.957523\pi\) | |||||||
\(444\) | −2819.84 | − | 212.275i | −0.301404 | − | 0.0226895i | ||||
\(445\) | −232.658 | − | 64.5972i | −0.0247844 | − | 0.00688135i | ||||
\(446\) | −10522.5 | + | 7999.02i | −1.11717 | + | 0.849248i | ||||
\(447\) | −2018.46 | − | 5392.14i | −0.213579 | − | 0.570558i | ||||
\(448\) | −1377.77 | − | 4962.27i | −0.145298 | − | 0.523315i | ||||
\(449\) | −2607.03 | − | 2752.21i | −0.274016 | − | 0.289275i | 0.574434 | − | 0.818551i | \(-0.305222\pi\) |
−0.848450 | + | 0.529276i | \(0.822464\pi\) | |||||||
\(450\) | −9018.26 | + | 6276.77i | −0.944722 | + | 0.657533i | ||||
\(451\) | 2841.88 | − | 4723.24i | 0.296716 | − | 0.493145i | ||||
\(452\) | −1440.11 | − | 666.265i | −0.149861 | − | 0.0693329i | ||||
\(453\) | −4427.10 | − | 7719.87i | −0.459168 | − | 0.800687i | ||||
\(454\) | −6147.16 | − | 5822.90i | −0.635464 | − | 0.601943i | ||||
\(455\) | 143.490 | − | 211.632i | 0.0147844 | − | 0.0218054i | ||||
\(456\) | 2218.10 | + | 2191.15i | 0.227789 | + | 0.225022i | ||||
\(457\) | −1312.45 | − | 12067.8i | −0.134341 | − | 1.23524i | −0.846178 | − | 0.532900i | \(-0.821102\pi\) |
0.711837 | − | 0.702344i | \(-0.247863\pi\) | |||||||
\(458\) | 255.753 | + | 425.065i | 0.0260929 | + | 0.0433667i | ||||
\(459\) | 8991.20 | + | 13514.1i | 0.914321 | + | 1.37426i | ||||
\(460\) | −1.20495 | − | 3.57617i | −0.000122133 | − | 0.000362478i | ||||
\(461\) | −2213.72 | − | 10057.0i | −0.223652 | − | 1.01606i | −0.945908 | − | 0.324434i | \(-0.894826\pi\) |
0.722257 | − | 0.691625i | \(-0.243105\pi\) | |||||||
\(462\) | 15377.1 | − | 11188.4i | 1.54850 | − | 1.12669i | ||||
\(463\) | 2212.31 | + | 1879.16i | 0.222062 | + | 0.188621i | 0.751511 | − | 0.659720i | \(-0.229325\pi\) |
−0.529449 | + | 0.848342i | \(0.677601\pi\) | |||||||
\(464\) | −2678.96 | − | 439.194i | −0.268034 | − | 0.0439420i | ||||
\(465\) | 6.82211 | + | 205.451i | 0.000680361 | + | 0.0204894i | ||||
\(466\) | 1371.76 | + | 3442.86i | 0.136364 | + | 0.342247i | ||||
\(467\) | 1259.90 | + | 424.510i | 0.124842 | + | 0.0420642i | 0.381029 | − | 0.924563i | \(-0.375570\pi\) |
−0.256187 | + | 0.966627i | \(0.582466\pi\) | |||||||
\(468\) | 5025.81 | − | 1762.07i | 0.496406 | − | 0.174042i | ||||
\(469\) | −3508.04 | − | 7582.50i | −0.345386 | − | 0.746540i | ||||
\(470\) | 14.9312 | + | 0.809548i | 0.00146538 | + | 7.94504e-5i | ||||
\(471\) | 8939.22 | − | 14175.4i | 0.874517 | − | 1.38677i | ||||
\(472\) | 7029.94 | + | 3741.68i | 0.685550 | + | 0.364883i | ||||
\(473\) | 13052.3i | 1.26880i | ||||||||
\(474\) | −4924.08 | + | 6944.36i | −0.477153 | + | 0.672922i | ||||
\(475\) | −3872.90 | + | 1791.79i | −0.374107 | + | 0.173080i | ||||
\(476\) | −658.845 | + | 6057.98i | −0.0634414 | + | 0.583334i | ||||
\(477\) | −9900.01 | + | 1199.28i | −0.950294 | + | 0.115118i | ||||
\(478\) | 5191.61 | − | 2068.52i | 0.496775 | − | 0.197933i | ||||
\(479\) | 7696.28 | − | 5218.20i | 0.734137 | − | 0.497757i | −0.135913 | − | 0.990721i | \(-0.543397\pi\) |
0.870050 | + | 0.492963i | \(0.164086\pi\) | |||||||
\(480\) | −73.6816 | − | 65.2945i | −0.00700644 | − | 0.00620890i | ||||
\(481\) | 10252.5 | − | 12070.2i | 0.971880 | − | 1.14419i | ||||
\(482\) | −1123.75 | + | 2820.41i | −0.106194 | + | 0.266527i | ||||
\(483\) | −859.224 | − | 309.717i | −0.0809442 | − | 0.0291773i | ||||
\(484\) | −4331.11 | + | 1459.32i | −0.406754 | + | 0.137051i | ||||
\(485\) | 155.407 | + | 182.959i | 0.0145498 | + | 0.0171293i | ||||
\(486\) | 7952.75 | − | 9428.82i | 0.742271 | − | 0.880041i | ||||
\(487\) | 6389.65 | − | 694.916i | 0.594544 | − | 0.0646605i | 0.194100 | − | 0.980982i | \(-0.437821\pi\) |
0.400444 | + | 0.916321i | \(0.368856\pi\) | |||||||
\(488\) | −3059.28 | + | 13898.4i | −0.283785 | + | 1.28925i | ||||
\(489\) | −12102.0 | + | 5293.78i | −1.11917 | + | 0.489556i | ||||
\(490\) | 24.7526 | − | 26.1310i | 0.00228206 | − | 0.00240914i | ||||
\(491\) | −14804.6 | − | 7848.90i | −1.36074 | − | 0.721417i | −0.381544 | − | 0.924351i | \(-0.624608\pi\) |
−0.979192 | + | 0.202934i | \(0.934952\pi\) | |||||||
\(492\) | 1126.54 | − | 729.806i | 0.103229 | − | 0.0668744i | ||||
\(493\) | −3448.15 | − | 2074.68i | −0.315003 | − | 0.189531i | ||||
\(494\) | 8313.11 | − | 1362.86i | 0.757134 | − | 0.124126i | ||||
\(495\) | −89.7743 | + | 233.579i | −0.00815162 | + | 0.0212092i | ||||
\(496\) | 17834.3 | − | 4951.66i | 1.61448 | − | 0.448258i | ||||
\(497\) | −13327.8 | + | 17532.5i | −1.20289 | + | 1.58237i | ||||
\(498\) | 2255.50 | − | 197.540i | 0.202954 | − | 0.0177751i | ||||
\(499\) | 1258.54 | − | 4532.86i | 0.112906 | − | 0.406651i | −0.885400 | − | 0.464830i | \(-0.846116\pi\) |
0.998306 | + | 0.0581789i | \(0.0185294\pi\) | |||||||
\(500\) | 95.9226 | − | 50.8549i | 0.00857958 | − | 0.00454860i | ||||
\(501\) | −2808.31 | − | 1565.18i | −0.250431 | − | 0.139575i | ||||
\(502\) | 3703.28 | − | 200.786i | 0.329254 | − | 0.0178516i | ||||
\(503\) | 10049.7 | + | 18955.7i | 0.890843 | + | 1.68031i | 0.718799 | + | 0.695218i | \(0.244692\pi\) |
0.172044 | + | 0.985089i | \(0.444963\pi\) | |||||||
\(504\) | −9452.26 | + | 1668.49i | −0.835391 | + | 0.147461i | ||||
\(505\) | 35.5384 | + | 46.7500i | 0.00313156 | + | 0.00411950i | ||||
\(506\) | 1251.33 | + | 951.234i | 0.109937 | + | 0.0835722i | ||||
\(507\) | −5296.17 | + | 17632.0i | −0.463927 | + | 1.54450i | ||||
\(508\) | −904.377 | + | 856.672i | −0.0789867 | + | 0.0748202i | ||||
\(509\) | 71.4899 | + | 436.069i | 0.00622541 | + | 0.0379733i | 0.989757 | − | 0.142765i | \(-0.0455994\pi\) |
−0.983531 | + | 0.180739i | \(0.942151\pi\) | |||||||
\(510\) | −146.887 | − | 291.680i | −0.0127535 | − | 0.0253251i | ||||
\(511\) | −5165.87 | + | 11165.9i | −0.447211 | + | 0.966631i | ||||
\(512\) | 987.378 | − | 1862.39i | 0.0852273 | − | 0.160756i | ||||
\(513\) | 3678.18 | − | 3069.27i | 0.316560 | − | 0.264155i | ||||
\(514\) | 15128.7 | + | 10257.5i | 1.29824 | + | 0.880232i | ||||
\(515\) | 232.197 | + | 51.1105i | 0.0198676 | + | 0.00437320i | ||||
\(516\) | −1394.74 | + | 2855.95i | −0.118992 | + | 0.243655i | ||||
\(517\) | −1310.36 | + | 788.416i | −0.111469 | + | 0.0670687i | ||||
\(518\) | 10494.9 | − | 8914.49i | 0.890196 | − | 0.756139i | ||||
\(519\) | −10338.5 | − | 2504.08i | −0.874390 | − | 0.211786i | ||||
\(520\) | 216.908 | − | 47.7452i | 0.0182924 | − | 0.00402647i | ||||
\(521\) | 17097.4 | + | 6812.24i | 1.43772 | + | 0.572840i | 0.953308 | − | 0.302001i | \(-0.0976545\pi\) |
0.484411 | + | 0.874840i | \(0.339034\pi\) | |||||||
\(522\) | −782.041 | + | 2956.35i | −0.0655728 | + | 0.247885i | ||||
\(523\) | −945.943 | + | 5770.00i | −0.0790883 | + | 0.482418i | 0.917349 | + | 0.398083i | \(0.130325\pi\) |
−0.996438 | + | 0.0843341i | \(0.973124\pi\) | |||||||
\(524\) | 3588.40 | + | 5292.49i | 0.299160 | + | 0.441228i | ||||
\(525\) | 2396.71 | − | 12916.5i | 0.199240 | − | 1.07375i | ||||
\(526\) | −4439.35 | + | 13175.5i | −0.367994 | + | 1.09217i | ||||
\(527\) | 27275.9 | + | 2966.43i | 2.25456 | + | 0.245199i | ||||
\(528\) | 22343.1 | + | 2905.23i | 1.84159 | + | 0.239459i | ||||
\(529\) | −654.621 | + | 12073.8i | −0.0538030 | + | 0.992338i | ||||
\(530\) | 200.640 | 0.0164438 | ||||||||
\(531\) | 6759.01 | − | 10199.9i | 0.552384 | − | 0.833590i | ||||
\(532\) | 1798.45 | 0.146565 | ||||||||
\(533\) | −406.976 | + | 7506.22i | −0.0330733 | + | 0.610001i | ||||
\(534\) | 24285.8 | + | 3157.84i | 1.96807 | + | 0.255905i | ||||
\(535\) | 120.094 | + | 13.0610i | 0.00970485 | + | 0.00105547i | ||||
\(536\) | 2317.22 | − | 6877.28i | 0.186733 | − | 0.554204i | ||||
\(537\) | −1345.51 | + | 7251.28i | −0.108125 | + | 0.582711i | ||||
\(538\) | −14313.2 | − | 21110.5i | −1.14700 | − | 1.69170i | ||||
\(539\) | −595.526 | + | 3632.55i | −0.0475902 | + | 0.290287i | ||||
\(540\) | −44.6031 | + | 41.5158i | −0.00355447 | + | 0.00330844i | ||||
\(541\) | 7407.87 | + | 2951.57i | 0.588705 | + | 0.234561i | 0.645419 | − | 0.763829i | \(-0.276683\pi\) |
−0.0567137 | + | 0.998390i | \(0.518062\pi\) | |||||||
\(542\) | 5134.08 | − | 1130.10i | 0.406878 | − | 0.0895605i | ||||
\(543\) | 4985.20 | + | 1207.47i | 0.393988 | + | 0.0954279i | ||||
\(544\) | −10014.9 | + | 8506.72i | −0.789310 | + | 0.670446i | ||||
\(545\) | −271.343 | + | 163.262i | −0.0213267 | + | 0.0128319i | ||||
\(546\) | −11380.4 | + | 23303.2i | −0.892010 | + | 1.82653i | ||||
\(547\) | −2464.41 | − | 542.457i | −0.192633 | − | 0.0424018i | 0.117606 | − | 0.993060i | \(-0.462478\pi\) |
−0.310239 | + | 0.950659i | \(0.600409\pi\) | |||||||
\(548\) | −1013.20 | − | 686.966i | −0.0789812 | − | 0.0535506i | ||||
\(549\) | 20805.1 | + | 6728.07i | 1.61738 | + | 0.523036i | ||||
\(550\) | −10589.9 | + | 19974.7i | −0.821011 | + | 1.54859i | ||||
\(551\) | −498.688 | + | 1077.90i | −0.0385568 | + | 0.0833393i | ||||
\(552\) | −356.835 | − | 708.581i | −0.0275143 | − | 0.0546363i | ||||
\(553\) | −1646.66 | − | 10044.2i | −0.126624 | − | 0.772371i | ||||
\(554\) | 3677.50 | − | 3483.51i | 0.282025 | − | 0.267149i | ||||
\(555\) | −52.1256 | + | 173.536i | −0.00398668 | + | 0.0132724i | ||||
\(556\) | −1719.21 | − | 1306.91i | −0.131134 | − | 0.0996856i | ||||
\(557\) | −8806.46 | − | 11584.7i | −0.669913 | − | 0.881256i | 0.328075 | − | 0.944652i | \(-0.393600\pi\) |
−0.997988 | + | 0.0633960i | \(0.979807\pi\) | |||||||
\(558\) | −3624.28 | − | 20532.2i | −0.274961 | − | 1.55770i | ||||
\(559\) | −8337.56 | − | 15726.3i | −0.630843 | − | 1.18990i | ||||
\(560\) | 263.021 | − | 14.2606i | 0.0198476 | − | 0.00107611i | ||||
\(561\) | 29174.0 | + | 16259.8i | 2.19559 | + | 1.22369i | ||||
\(562\) | −77.1812 | + | 40.9189i | −0.00579305 | + | 0.00307128i | ||||
\(563\) | 5661.37 | − | 20390.4i | 0.423798 | − | 1.52638i | −0.376292 | − | 0.926501i | \(-0.622801\pi\) |
0.800090 | − | 0.599880i | \(-0.204785\pi\) | |||||||
\(564\) | −370.966 | + | 32.4898i | −0.0276959 | + | 0.00242565i | ||||
\(565\) | −61.5304 | + | 80.9419i | −0.00458160 | + | 0.00602700i | ||||
\(566\) | −18496.4 | + | 5135.50i | −1.37361 | + | 0.381380i | ||||
\(567\) | 1158.10 | + | 14702.2i | 0.0857769 | + | 1.08895i | ||||
\(568\) | −18878.1 | + | 3094.90i | −1.39455 | + | 0.228625i | ||||
\(569\) | 6211.10 | + | 3737.10i | 0.457615 | + | 0.275338i | 0.725641 | − | 0.688074i | \(-0.241544\pi\) |
−0.268026 | + | 0.963412i | \(0.586371\pi\) | |||||||
\(570\) | −80.8925 | + | 52.4045i | −0.00594423 | + | 0.00385085i | ||||
\(571\) | 4393.10 | + | 2329.08i | 0.321971 | + | 0.170698i | 0.621553 | − | 0.783372i | \(-0.286502\pi\) |
−0.299581 | + | 0.954071i | \(0.596847\pi\) | |||||||
\(572\) | 7536.09 | − | 7955.76i | 0.550874 | − | 0.581551i | ||||
\(573\) | 813.532 | − | 355.863i | 0.0593121 | − | 0.0259448i | ||||
\(574\) | −1405.09 | + | 6383.38i | −0.102173 | + | 0.464176i | ||||
\(575\) | 1079.47 | − | 117.400i | 0.0782907 | − | 0.00851463i | ||||
\(576\) | −5735.74 | − | 3787.44i | −0.414912 | − | 0.273976i | ||||
\(577\) | 10887.5 | + | 12817.8i | 0.785535 | + | 0.924803i | 0.998635 | − | 0.0522272i | \(-0.0166320\pi\) |
−0.213100 | + | 0.977030i | \(0.568356\pi\) | |||||||
\(578\) | −26145.9 | + | 8809.58i | −1.88153 | + | 0.633962i | ||||
\(579\) | −14524.5 | − | 5235.54i | −1.04252 | − | 0.375788i | ||||
\(580\) | 5.59159 | − | 14.0338i | 0.000400307 | − | 0.00100469i | ||||
\(581\) | −1752.50 | + | 2063.20i | −0.125139 | + | 0.147325i | ||||
\(582\) | −18222.2 | − | 16148.0i | −1.29782 | − | 1.15009i | ||||
\(583\) | −16983.7 | + | 11515.2i | −1.20651 | + | 0.818032i | ||||
\(584\) | −9927.76 | + | 3955.58i | −0.703448 | + | 0.280279i | ||||
\(585\) | −41.0394 | − | 338.778i | −0.00290046 | − | 0.0239431i | ||||
\(586\) | 493.350 | − | 4536.28i | 0.0347783 | − | 0.319781i | ||||
\(587\) | 17926.6 | − | 8293.72i | 1.26049 | − | 0.583166i | 0.328110 | − | 0.944639i | \(-0.393588\pi\) |
0.932382 | + | 0.361473i | \(0.117726\pi\) | |||||||
\(588\) | −518.472 | + | 731.194i | −0.0363630 | + | 0.0512822i | ||||
\(589\) | − | 8097.46i | − | 0.566469i | ||||||
\(590\) | −159.681 | + | 187.373i | −0.0111423 | + | 0.0130746i | ||||
\(591\) | −587.373 | + | 931.431i | −0.0408821 | + | 0.0648290i | ||||
\(592\) | 16290.9 | + | 883.264i | 1.13100 | + | 0.0613209i | ||||
\(593\) | 8076.78 | + | 17457.7i | 0.559315 | + | 1.20894i | 0.956643 | + | 0.291263i | \(0.0940754\pi\) |
−0.397328 | + | 0.917677i | \(0.630063\pi\) | |||||||
\(594\) | 5672.76 | − | 24738.5i | 0.391845 | − | 1.70881i | ||||
\(595\) | 370.022 | + | 124.675i | 0.0254949 | + | 0.00859022i | ||||
\(596\) | −1067.77 | − | 2679.91i | −0.0733854 | − | 0.184184i | ||||
\(597\) | −854.831 | − | 25743.6i | −0.0586028 | − | 1.76485i | ||||
\(598\) | −2115.32 | − | 346.789i | −0.144652 | − | 0.0237144i | ||||
\(599\) | −18995.2 | − | 16134.7i | −1.29570 | − | 1.10058i | −0.988865 | − | 0.148814i | \(-0.952454\pi\) |
−0.306835 | − | 0.951763i | \(-0.599270\pi\) | |||||||
\(600\) | 9227.19 | − | 6713.74i | 0.627831 | − | 0.456812i | ||||
\(601\) | 3396.50 | + | 15430.5i | 0.230526 | + | 1.04729i | 0.939631 | + | 0.342188i | \(0.111168\pi\) |
−0.709105 | + | 0.705103i | \(0.750901\pi\) | |||||||
\(602\) | −4941.75 | − | 14666.6i | −0.334569 | − | 0.992967i | ||||
\(603\) | −10176.4 | − | 4557.95i | −0.687255 | − | 0.307818i | ||||
\(604\) | −2298.81 | − | 3820.65i | −0.154863 | − | 0.257384i | ||||
\(605\) | 31.6628 | + | 291.135i | 0.00212773 | + | 0.0195641i | ||||
\(606\) | −4237.31 | − | 4185.84i | −0.284041 | − | 0.280591i | ||||
\(607\) | 8805.58 | − | 12987.3i | 0.588810 | − | 0.868429i | −0.410242 | − | 0.911977i | \(-0.634556\pi\) |
0.999051 | + | 0.0435475i | \(0.0138660\pi\) | |||||||
\(608\) | 2815.46 | + | 2666.95i | 0.187799 | + | 0.177893i | ||||
\(609\) | −1818.88 | − | 3171.72i | −0.121026 | − | 0.211042i | ||||
\(610\) | −399.272 | − | 184.723i | −0.0265017 | − | 0.0122610i | ||||
\(611\) | 1075.18 | − | 1786.97i | 0.0711904 | − | 0.118319i | ||||
\(612\) | 4646.01 | + | 6675.25i | 0.306869 | + | 0.440900i | ||||
\(613\) | −4430.89 | − | 4677.63i | −0.291945 | − | 0.308202i | 0.563480 | − | 0.826130i | \(-0.309462\pi\) |
−0.855424 | + | 0.517928i | \(0.826704\pi\) | |||||||
\(614\) | −7146.87 | − | 25740.7i | −0.469746 | − | 1.69187i | ||||
\(615\) | −30.1524 | − | 80.5497i | −0.00197701 | − | 0.00528143i | ||||
\(616\) | −15722.8 | + | 11952.1i | −1.02839 | + | 0.781761i | ||||
\(617\) | −2404.29 | − | 667.547i | −0.156877 | − | 0.0435566i | 0.188202 | − | 0.982130i | \(-0.439734\pi\) |
−0.345079 | + | 0.938574i | \(0.612148\pi\) | |||||||
\(618\) | −24046.6 | − | 1810.21i | −1.56520 | − | 0.117827i | ||||
\(619\) | 162.862 | + | 3003.81i | 0.0105751 | + | 0.195046i | 0.999047 | + | 0.0436428i | \(0.0138964\pi\) |
−0.988472 | + | 0.151403i | \(0.951621\pi\) | |||||||
\(620\) | 5.57616 | + | 102.846i | 0.000361200 | + | 0.00666194i | ||||
\(621\) | −1136.31 | + | 441.265i | −0.0734277 | + | 0.0285143i | ||||
\(622\) | 13400.1 | + | 3720.53i | 0.863821 | + | 0.239839i | ||||
\(623\) | −23310.4 | + | 17720.1i | −1.49905 | + | 1.13955i | ||||
\(624\) | −28776.3 | + | 10771.9i | −1.84611 | + | 0.691061i | ||||
\(625\) | 4177.34 | + | 15045.4i | 0.267350 | + | 0.962906i | ||||
\(626\) | 15777.0 | + | 16655.6i | 1.00731 | + | 1.06340i | ||||
\(627\) | 3839.74 | − | 9078.55i | 0.244568 | − | 0.578249i | ||||
\(628\) | 4329.03 | − | 7194.91i | 0.275075 | − | 0.457179i | ||||
\(629\) | 21949.0 | + | 10154.7i | 1.39136 | + | 0.643711i | ||||
\(630\) | 12.4419 | − | 296.457i | 0.000786824 | − | 0.0187478i | ||||
\(631\) | −3201.34 | − | 3032.47i | −0.201970 | − | 0.191317i | 0.580029 | − | 0.814596i | \(-0.303041\pi\) |
−0.781999 | + | 0.623279i | \(0.785800\pi\) | |||||||
\(632\) | 4961.56 | − | 7317.75i | 0.312279 | − | 0.460577i | ||||
\(633\) | 15055.7 | − | 15240.8i | 0.945354 | − | 0.956978i | ||||
\(634\) | 813.184 | + | 7477.11i | 0.0509396 | + | 0.468382i | ||||
\(635\) | 41.1516 | + | 68.3945i | 0.00257174 | + | 0.00427426i | ||||
\(636\) | −4946.67 | + | 704.785i | −0.308409 | + | 0.0439411i | ||||
\(637\) | −1602.87 | − | 4757.15i | −0.0996987 | − | 0.295895i | ||||
\(638\) | 1352.66 | + | 6145.19i | 0.0839377 | + | 0.381333i | ||||
\(639\) | 1949.87 | + | 29328.3i | 0.120713 | + | 1.81566i | ||||
\(640\) | 220.922 | + | 187.653i | 0.0136449 | + | 0.0115901i | ||||
\(641\) | −31173.2 | − | 5110.59i | −1.92085 | − | 0.314908i | −0.923256 | − | 0.384185i | \(-0.874483\pi\) |
−0.997597 | + | 0.0692767i | \(0.977931\pi\) | |||||||
\(642\) | −12245.7 | + | 406.625i | −0.752802 | + | 0.0249972i | ||||
\(643\) | 2826.85 | + | 7094.87i | 0.173375 | + | 0.435139i | 0.989827 | − | 0.142274i | \(-0.0454415\pi\) |
−0.816452 | + | 0.577413i | \(0.804062\pi\) | |||||||
\(644\) | −433.671 | − | 146.121i | −0.0265357 | − | 0.00894093i | ||||
\(645\) | 159.508 | + | 126.620i | 0.00973741 | + | 0.00772968i | ||||
\(646\) | 5401.60 | + | 11675.4i | 0.328983 | + | 0.711085i | ||||
\(647\) | −32533.3 | − | 1763.90i | −1.97684 | − | 0.107181i | −0.980734 | − | 0.195349i | \(-0.937416\pi\) |
−0.996106 | + | 0.0881676i | \(0.971899\pi\) | |||||||
\(648\) | −8052.19 | + | 9963.39i | −0.488148 | + | 0.604011i | ||||
\(649\) | 2762.78 | − | 25025.2i | 0.167101 | − | 1.51360i | ||||
\(650\) | − | 30831.6i | − | 1.86048i | ||||||
\(651\) | 20334.8 | + | 14418.9i | 1.22425 | + | 0.868084i | ||||
\(652\) | −6006.72 | + | 2779.01i | −0.360800 | + | 0.166924i | ||||
\(653\) | −1196.11 | + | 10998.0i | −0.0716805 | + | 0.659091i | 0.902088 | + | 0.431552i | \(0.142034\pi\) |
−0.973769 | + | 0.227540i | \(0.926932\pi\) | |||||||
\(654\) | 24910.5 | − | 20275.4i | 1.48941 | − | 1.21228i | ||||
\(655\) | 380.623 | − | 151.654i | 0.0227056 | − | 0.00904674i | ||||
\(656\) | −6409.74 | + | 4345.91i | −0.381491 | + | 0.258657i | ||||
\(657\) | 4585.85 | + | 15766.7i | 0.272315 | + | 0.936250i | ||||
\(658\) | 1173.92 | − | 1382.05i | 0.0695504 | − | 0.0818811i | ||||
\(659\) | 7073.76 | − | 17753.8i | 0.418140 | − | 1.04945i | −0.557519 | − | 0.830164i | \(-0.688247\pi\) |
0.975660 | − | 0.219289i | \(-0.0703739\pi\) | |||||||
\(660\) | −42.5169 | + | 117.951i | −0.00250753 | + | 0.00695643i | ||||
\(661\) | −3314.18 | + | 1116.68i | −0.195018 | + | 0.0657091i | −0.415116 | − | 0.909769i | \(-0.636259\pi\) |
0.220098 | + | 0.975478i | \(0.429362\pi\) | |||||||
\(662\) | 6009.79 | + | 7075.27i | 0.352836 | + | 0.415390i | ||||
\(663\) | −45537.3 | − | 955.151i | −2.66745 | − | 0.0559502i | ||||
\(664\) | −2337.64 | + | 254.234i | −0.136624 | + | 0.0148587i | ||||
\(665\) | 24.7728 | − | 112.544i | 0.00144458 | − | 0.00656280i | ||||
\(666\) | 2751.37 | − | 18170.9i | 0.160080 | − | 1.05722i | ||||
\(667\) | 207.828 | − | 219.402i | 0.0120647 | − | 0.0127365i | ||||
\(668\) | −1423.23 | − | 754.548i | −0.0824346 | − | 0.0437041i | ||||
\(669\) | −11467.7 | − | 17701.8i | −0.662733 | − | 1.02301i | ||||
\(670\) | 192.230 | + | 115.661i | 0.0110843 | + | 0.00666922i | ||||
\(671\) | 44399.2 | − | 7278.88i | 2.55441 | − | 0.418775i | ||||
\(672\) | −11710.8 | + | 2321.39i | −0.672254 | + | 0.133258i | ||||
\(673\) | 18394.6 | − | 5107.23i | 1.05358 | − | 0.292525i | 0.302784 | − | 0.953059i | \(-0.402084\pi\) |
0.750796 | + | 0.660534i | \(0.229670\pi\) | |||||||
\(674\) | −9136.19 | + | 12018.5i | −0.522126 | + | 0.686845i | ||||
\(675\) | −8907.45 | − | 15101.9i | −0.507923 | − | 0.861144i | ||||
\(676\) | −2467.78 | + | 8888.14i | −0.140406 | + | 0.505697i | ||||
\(677\) | −13146.7 | + | 6969.94i | −0.746335 | + | 0.395682i | −0.797744 | − | 0.602996i | \(-0.793973\pi\) |
0.0514096 | + | 0.998678i | \(0.483629\pi\) | |||||||
\(678\) | 5020.41 | − | 9007.82i | 0.284377 | − | 0.510241i | ||||
\(679\) | 29067.7 | − | 1576.00i | 1.64288 | − | 0.0890743i | ||||
\(680\) | 158.870 | + | 299.660i | 0.00895937 | + | 0.0168992i | ||||
\(681\) | 10001.8 | − | 9083.98i | 0.562807 | − | 0.511158i | ||||
\(682\) | −25962.4 | − | 34152.9i | −1.45770 | − | 1.91757i | ||||
\(683\) | 8341.91 | + | 6341.36i | 0.467342 | + | 0.355264i | 0.812189 | − | 0.583395i | \(-0.198276\pi\) |
−0.344847 | + | 0.938659i | \(0.612069\pi\) | |||||||
\(684\) | 1810.28 | − | 1576.16i | 0.101196 | − | 0.0881079i | ||||
\(685\) | −56.9454 | + | 53.9415i | −0.00317631 | + | 0.00300876i | ||||
\(686\) | 2949.36 | + | 17990.3i | 0.164151 | + | 1.00127i | ||||
\(687\) | −707.006 | + | 356.042i | −0.0392634 | + | 0.0197727i | ||||
\(688\) | 7699.51 | − | 16642.2i | 0.426658 | − | 0.922207i | ||||
\(689\) | 13107.4 | − | 24723.2i | 0.724751 | − | 1.36703i | ||||
\(690\) | 23.7638 | − | 6.06423i | 0.00131112 | − | 0.000334581i | ||||
\(691\) | −25360.5 | − | 17194.9i | −1.39618 | − | 0.946632i | −0.999590 | − | 0.0286359i | \(-0.990884\pi\) |
−0.396588 | − | 0.917997i | \(-0.629806\pi\) | |||||||
\(692\) | −5205.23 | − | 1145.76i | −0.285944 | − | 0.0629410i | ||||
\(693\) | 15961.3 | + | 25808.5i | 0.874919 | + | 1.41470i | ||||
\(694\) | −11247.3 | + | 6767.26i | −0.615188 | + | 0.370147i | ||||
\(695\) | −105.465 | + | 89.5829i | −0.00575614 | + | 0.00488931i | ||||
\(696\) | 747.627 | − | 3086.69i | 0.0407166 | − | 0.168104i | ||||
\(697\) | −11211.1 | + | 2467.76i | −0.609257 | + | 0.134108i | ||||
\(698\) | 16049.9 | + | 6394.87i | 0.870342 | + | 0.346776i | ||||
\(699\) | −5642.66 | + | 1770.36i | −0.305329 | + | 0.0957959i | ||||
\(700\) | 1064.88 | − | 6495.50i | 0.0574983 | − | 0.350724i | ||||
\(701\) | 7711.93 | + | 11374.2i | 0.415514 | + | 0.612838i | 0.976637 | − | 0.214895i | \(-0.0689408\pi\) |
−0.561123 | + | 0.827733i | \(0.689630\pi\) | |||||||
\(702\) | 8967.53 | + | 33430.3i | 0.482133 | + | 1.79736i | ||||
\(703\) | 2279.03 | − | 6763.92i | 0.122269 | − | 0.362882i | ||||
\(704\) | −14060.0 | − | 1529.11i | −0.752705 | − | 0.0818616i | ||||
\(705\) | −3.07672 | + | 23.6619i | −0.000164363 | + | 0.00126406i | ||||
\(706\) | −1389.71 | + | 25631.7i | −0.0740827 | + | 1.36637i | ||||
\(707\) | 7121.30 | 0.378818 | ||||||||
\(708\) | 3278.66 | − | 5180.50i | 0.174039 | − | 0.274993i | ||||
\(709\) | 11578.8 | 0.613333 | 0.306666 | − | 0.951817i | \(-0.400786\pi\) | ||||
0.306666 | + | 0.951817i | \(0.400786\pi\) | |||||||
\(710\) | 32.0164 | − | 590.507i | 0.00169233 | − | 0.0312131i | ||||
\(711\) | −10460.2 | − | 8667.12i | −0.551739 | − | 0.457162i | ||||
\(712\) | −25285.4 | − | 2749.95i | −1.33091 | − | 0.144745i | ||||
\(713\) | −657.903 | + | 1952.59i | −0.0345563 | + | 0.102560i | ||||
\(714\) | −38938.4 | − | 7225.20i | −2.04094 | − | 0.378707i | ||||
\(715\) | −394.051 | − | 581.182i | −0.0206107 | − | 0.0303986i | ||||
\(716\) | −597.824 | + | 3646.56i | −0.0312035 | + | 0.190333i | ||||
\(717\) | 2669.60 | + | 8508.76i | 0.139049 | + | 0.443188i | ||||
\(718\) | 18197.9 | + | 7250.72i | 0.945879 | + | 0.376872i | ||||
\(719\) | −16825.7 | + | 3703.61i | −0.872729 | + | 0.192102i | −0.628683 | − | 0.777661i | \(-0.716406\pi\) |
−0.244046 | + | 0.969764i | \(0.578475\pi\) | |||||||
\(720\) | 252.253 | − | 244.865i | 0.0130568 | − | 0.0126744i | ||||
\(721\) | 21974.6 | − | 18665.4i | 1.13506 | − | 0.964125i | ||||
\(722\) | −15884.7 | + | 9557.49i | −0.818790 | + | 0.492650i | ||||
\(723\) | −4353.28 | − | 2125.98i | −0.223928 | − | 0.109359i | ||||
\(724\) | 2509.95 | + | 552.483i | 0.128842 | + | 0.0283603i | ||||
\(725\) | 3597.78 | + | 2439.36i | 0.184301 | + | 0.124959i | ||||
\(726\) | −7344.41 | − | 28780.5i | −0.375450 | − | 1.47127i | ||||
\(727\) | −1982.55 | + | 3739.48i | −0.101140 | + | 0.190770i | −0.928918 | − | 0.370286i | \(-0.879260\pi\) |
0.827778 | + | 0.561056i | \(0.189605\pi\) | |||||||
\(728\) | 11309.1 | − | 24444.2i | 0.575745 | − | 1.24445i | ||||
\(729\) | 14050.7 | + | 13784.0i | 0.713849 | + | 0.700300i | ||||
\(730\) | −53.4469 | − | 326.012i | −0.00270981 | − | 0.0165291i | ||||
\(731\) | 19733.9 | − | 18693.0i | 0.998475 | − | 0.945806i | ||||
\(732\) | 10492.7 | + | 3151.73i | 0.529811 | + | 0.159141i | ||||
\(733\) | 16606.6 | + | 12624.0i | 0.836805 | + | 0.636123i | 0.933255 | − | 0.359215i | \(-0.116956\pi\) |
−0.0964495 | + | 0.995338i | \(0.530749\pi\) | |||||||
\(734\) | −11130.4 | − | 14641.7i | −0.559713 | − | 0.736289i | ||||
\(735\) | 38.6151 | + | 42.5169i | 0.00193788 | + | 0.00213369i | ||||
\(736\) | −462.224 | − | 871.847i | −0.0231492 | − | 0.0436640i | ||||
\(737\) | −22909.9 | + | 1242.14i | −1.14505 | + | 0.0620825i | ||||
\(738\) | 4180.04 | + | 7656.79i | 0.208495 | + | 0.381911i | ||||
\(739\) | −4627.78 | + | 2453.49i | −0.230359 | + | 0.122129i | −0.579591 | − | 0.814908i | \(-0.696788\pi\) |
0.349231 | + | 0.937037i | \(0.386443\pi\) | |||||||
\(740\) | −24.2882 | + | 87.4783i | −0.00120656 | + | 0.00434563i | ||||
\(741\) | 1172.82 | + | 13391.2i | 0.0581441 | + | 0.663885i | ||||
\(742\) | 14724.5 | − | 19369.7i | 0.728507 | − | 0.958334i | ||||
\(743\) | −8952.71 | + | 2485.71i | −0.442050 | + | 0.122735i | −0.481420 | − | 0.876490i | \(-0.659879\pi\) |
0.0393699 | + | 0.999225i | \(0.487465\pi\) | |||||||
\(744\) | 4210.36 | + | 21240.2i | 0.207472 | + | 1.04664i | ||||
\(745\) | −182.412 | + | 29.9049i | −0.00897055 | + | 0.00147065i | ||||
\(746\) | −4166.15 | − | 2506.69i | −0.204469 | − | 0.123025i | ||||
\(747\) | 44.1534 | + | 3612.65i | 0.00216263 | + | 0.176948i | ||||
\(748\) | 14785.1 | + | 7838.58i | 0.722725 | + | 0.383164i | ||||
\(749\) | 10074.3 | − | 10635.3i | 0.491463 | − | 0.518831i | ||||
\(750\) | 282.777 | + | 646.453i | 0.0137674 | + | 0.0314735i | ||||
\(751\) | −2043.96 | + | 9285.78i | −0.0993142 | + | 0.451189i | 0.900551 | + | 0.434751i | \(0.143164\pi\) |
−0.999865 | + | 0.0164380i | \(0.994767\pi\) | |||||||
\(752\) | 2135.85 | − | 232.287i | 0.103572 | − | 0.0112642i | ||||
\(753\) | −124.105 | + | 5916.78i | −0.00600617 | + | 0.286347i | ||||
\(754\) | −5555.21 | − | 6540.10i | −0.268314 | − | 0.315884i | ||||
\(755\) | −270.754 | + | 91.2277i | −0.0130513 | + | 0.00439751i | ||||
\(756\) | 734.612 | + | 7352.71i | 0.0353407 | + | 0.353724i | ||||
\(757\) | 7799.05 | − | 19574.2i | 0.374454 | − | 0.939808i | −0.614139 | − | 0.789198i | \(-0.710497\pi\) |
0.988593 | − | 0.150610i | \(-0.0481239\pi\) | |||||||
\(758\) | 8865.32 | − | 10437.1i | 0.424806 | − | 0.500120i | ||||
\(759\) | −1663.51 | + | 1877.19i | −0.0795543 | + | 0.0897730i | ||||
\(760\) | 82.8515 | − | 56.1747i | 0.00395439 | − | 0.00268114i | ||||
\(761\) | 3989.65 | − | 1589.62i | 0.190046 | − | 0.0757210i | −0.273174 | − | 0.961965i | \(-0.588073\pi\) |
0.463219 | + | 0.886244i | \(0.346694\pi\) | |||||||
\(762\) | −5110.60 | − | 6278.91i | −0.242962 | − | 0.298505i | ||||
\(763\) | −4151.97 | + | 38176.8i | −0.197001 | + | 1.81139i | ||||
\(764\) | 403.789 | − | 186.813i | 0.0191212 | − | 0.00884639i | ||||
\(765\) | 481.722 | − | 198.791i | 0.0227669 | − | 0.00939517i | ||||
\(766\) | − | 20959.8i | − | 0.988652i | ||||||
\(767\) | 12656.8 | + | 31916.9i | 0.595844 | + | 1.50255i | ||||
\(768\) | −15916.8 | − | 10037.4i | −0.747850 | − | 0.471604i | ||||
\(769\) | −3049.72 | − | 165.351i | −0.143011 | − | 0.00775385i | −0.0175057 | − | 0.999847i | \(-0.505573\pi\) |
−0.125506 | + | 0.992093i | \(0.540055\pi\) | |||||||
\(770\) | −256.357 | − | 554.107i | −0.0119980 | − | 0.0259333i | ||||
\(771\) | −18134.1 | + | 22844.3i | −0.847062 | + | 1.06708i | ||||
\(772\) | −7330.87 | − | 2470.06i | −0.341767 | − | 0.115155i | ||||
\(773\) | 1808.73 | + | 4539.57i | 0.0841597 | + | 0.211225i | 0.965034 | − | 0.262126i | \(-0.0844236\pi\) |
−0.880874 | + | 0.473351i | \(0.843044\pi\) | |||||||
\(774\) | −17828.0 | − | 10432.2i | −0.827926 | − | 0.484465i | ||||
\(775\) | −29245.8 | − | 4794.60i | −1.35553 | − | 0.222229i | ||||
\(776\) | 19272.2 | + | 16370.0i | 0.891538 | + | 0.757279i | ||||
\(777\) | 12927.8 | + | 17767.6i | 0.596886 | + | 0.820346i | ||||
\(778\) | −3531.91 | − | 16045.6i | −0.162757 | − | 0.739414i | ||||
\(779\) | 1081.79 | + | 3210.63i | 0.0497549 | + | 0.147667i | ||||
\(780\) | −24.1177 | − | 169.275i | −0.00110712 | − | 0.00777053i | ||||
\(781\) | 31180.6 | + | 51822.6i | 1.42859 | + | 2.37434i | ||||
\(782\) | −353.917 | − | 3254.22i | −0.0161842 | − | 0.148811i | ||||
\(783\) | −4610.52 | − | 1598.53i | −0.210430 | − | 0.0729587i | ||||
\(784\) | 2902.15 | − | 4280.35i | 0.132204 | − | 0.194987i | ||||
\(785\) | −390.614 | − | 370.009i | −0.0177600 | − | 0.0168232i | ||||
\(786\) | −36049.5 | + | 20673.2i | −1.63593 | + | 0.938155i | ||||
\(787\) | −29918.7 | − | 13841.9i | −1.35513 | − | 0.626950i | −0.398208 | − | 0.917295i | \(-0.630368\pi\) |
−0.956922 | + | 0.290346i | \(0.906230\pi\) | |||||||
\(788\) | −284.450 | + | 472.759i | −0.0128593 | + | 0.0213723i | ||||
\(789\) | −20433.4 | − | 8642.22i | −0.921987 | − | 0.389951i | ||||
\(790\) | 187.955 | + | 198.422i | 0.00846475 | + | 0.00893613i | ||||
\(791\) | 3298.54 | + | 11880.3i | 0.148271 | + | 0.534024i | ||||
\(792\) | −5351.39 | + | 25810.1i | −0.240093 | + | 1.15798i | ||||
\(793\) | −48845.6 | + | 37131.5i | −2.18734 | + | 1.66277i | ||||
\(794\) | 21448.1 | + | 5955.05i | 0.958648 | + | 0.266167i | ||||
\(795\) | −24.0338 | + | 319.262i | −0.00107219 | + | 0.0142428i | ||||
\(796\) | −698.709 | − | 12886.9i | −0.0311119 | − | 0.573826i | ||||
\(797\) | 72.5336 | + | 1337.80i | 0.00322368 | + | 0.0594572i | 0.999703 | − | 0.0243863i | \(-0.00776317\pi\) |
−0.996479 | + | 0.0838435i | \(0.973280\pi\) | |||||||
\(798\) | −877.391 | + | 11655.2i | −0.0389214 | + | 0.517028i | ||||
\(799\) | 3068.66 | + | 852.009i | 0.135872 | + | 0.0377245i | ||||
\(800\) | 11299.3 | − | 8589.53i | 0.499365 | − | 0.379607i | ||||
\(801\) | −7933.91 | + | 38265.8i | −0.349976 | + | 1.68796i | ||||
\(802\) | 4879.48 | + | 17574.3i | 0.214839 | + | 0.773779i | ||||
\(803\) | 23234.8 | + | 24528.7i | 1.02109 | + | 1.07796i | ||||
\(804\) | −5145.62 | − | 2176.32i | −0.225711 | − | 0.0954637i | ||||
\(805\) | −15.1176 | + | 25.1256i | −0.000661893 | + | 0.00110008i | ||||
\(806\) | 53097.5 | + | 24565.5i | 2.32045 | + | 1.07355i | ||||
\(807\) | 35305.9 | − | 20246.8i | 1.54006 | − | 0.883172i | ||||
\(808\) | 4490.87 | + | 4253.98i | 0.195530 | + | 0.185216i | ||||
\(809\) | 3747.98 | − | 5527.86i | 0.162882 | − | 0.240234i | −0.737486 | − | 0.675363i | \(-0.763987\pi\) |
0.900368 | + | 0.435129i | \(0.143297\pi\) | |||||||
\(810\) | −247.290 | − | 309.312i | −0.0107270 | − | 0.0134174i | ||||
\(811\) | −3271.30 | − | 30079.1i | −0.141641 | − | 1.30237i | −0.821999 | − | 0.569489i | \(-0.807141\pi\) |
0.680358 | − | 0.732880i | \(-0.261824\pi\) | |||||||
\(812\) | −944.467 | − | 1569.72i | −0.0408181 | − | 0.0678402i | ||||
\(813\) | 1183.24 | + | 8304.82i | 0.0510432 | + | 0.358257i | ||||
\(814\) | −12074.4 | − | 35835.5i | −0.519911 | − | 1.54304i | ||||
\(815\) | 91.1656 | + | 414.169i | 0.00391827 | + | 0.0178009i | ||||
\(816\) | −27606.4 | − | 37941.6i | −1.18434 | − | 1.62772i | ||||
\(817\) | −6114.26 | − | 5193.50i | −0.261825 | − | 0.222396i | ||||
\(818\) | 10934.2 | + | 1792.57i | 0.467366 | + | 0.0766208i | ||||
\(819\) | −35717.3 | − | 20900.1i | −1.52389 | − | 0.891709i | ||||
\(820\) | −15.9508 | − | 40.0334i | −0.000679299 | − | 0.00170491i | ||||
\(821\) | 3615.25 | + | 1218.12i | 0.153682 | + | 0.0517816i | 0.395091 | − | 0.918642i | \(-0.370713\pi\) |
−0.241409 | + | 0.970423i | \(0.577610\pi\) | |||||||
\(822\) | 4946.30 | − | 6231.06i | 0.209881 | − | 0.264396i | ||||
\(823\) | −6317.42 | − | 13654.9i | −0.267572 | − | 0.578346i | 0.726489 | − | 0.687179i | \(-0.241151\pi\) |
−0.994060 | + | 0.108832i | \(0.965289\pi\) | |||||||
\(824\) | 25007.6 | + | 1355.88i | 1.05726 | + | 0.0573230i | ||||
\(825\) | −30515.6 | − | 19243.6i | −1.28778 | − | 0.812091i | ||||
\(826\) | 6370.36 | + | 29166.4i | 0.268345 | + | 1.22860i | ||||
\(827\) | − | 15568.2i | − | 0.654607i | −0.944919 | − | 0.327304i | \(-0.893860\pi\) | ||
0.944919 | − | 0.327304i | \(-0.106140\pi\) | |||||||
\(828\) | −564.583 | + | 232.985i | −0.0236964 | + | 0.00977874i | ||||
\(829\) | −34851.7 | + | 16124.1i | −1.46013 | + | 0.675530i | −0.979510 | − | 0.201397i | \(-0.935452\pi\) |
−0.480624 | + | 0.876927i | \(0.659590\pi\) | |||||||
\(830\) | 7.85921 | − | 72.2643i | 0.000328671 | − | 0.00302208i | ||||
\(831\) | 5102.52 | + | 6268.99i | 0.213002 | + | 0.261695i | ||||
\(832\) | 17917.2 | − | 7138.86i | 0.746594 | − | 0.297470i | ||||
\(833\) | 6344.98 | − | 4302.00i | 0.263914 | − | 0.178938i | ||||
\(834\) | 9308.37 | − | 10504.0i | 0.386478 | − | 0.436121i | ||||
\(835\) | −66.8225 | + | 78.6695i | −0.00276945 | + | 0.00326044i | ||||
\(836\) | 1828.07 | − | 4588.12i | 0.0756283 | − | 0.189813i | ||||
\(837\) | 33105.3 | − | 3307.57i | 1.36713 | − | 0.136590i | ||||
\(838\) | −12458.9 | + | 4197.90i | −0.513588 | + | 0.173048i | ||||
\(839\) | 30652.5 | + | 36086.9i | 1.26131 | + | 1.48493i | 0.802804 | + | 0.596242i | \(0.203340\pi\) |
0.458509 | + | 0.888690i | \(0.348384\pi\) | |||||||
\(840\) | −6.46224 | + | 308.090i | −0.000265439 | + | 0.0126549i | ||||
\(841\) | −23043.3 | + | 2506.11i | −0.944825 | + | 0.102756i | ||||
\(842\) | 7027.88 | − | 31928.0i | 0.287645 | − | 1.30678i | ||||
\(843\) | −55.8657 | − | 127.714i | −0.00228246 | − | 0.00521791i | ||||
\(844\) | 7381.79 | − | 7792.86i | 0.301056 | − | 0.317821i | ||||
\(845\) | 522.211 | + | 276.859i | 0.0212599 | + | 0.0112713i | ||||
\(846\) | −29.5764 | − | 2419.96i | −0.00120196 | − | 0.0983450i | ||||
\(847\) | 30429.7 | + | 18308.9i | 1.23445 | + | 0.742742i | ||||
\(848\) | 28447.8 | − | 4663.77i | 1.15200 | − | 0.188862i | ||||
\(849\) | −5956.10 | − | 30047.0i | −0.240769 | − | 1.21462i | ||||
\(850\) | 45366.5 | − | 12595.9i | 1.83066 | − | 0.508279i | ||||
\(851\) | −1099.11 | + | 1445.86i | −0.0442739 | + | 0.0582413i | ||||
\(852\) | 1284.92 | + | 14671.1i | 0.0516674 | + | 0.589934i | ||||
\(853\) | 4302.62 | − | 15496.6i | 0.172707 | − | 0.622033i | −0.825621 | − | 0.564225i | \(-0.809175\pi\) |
0.998328 | − | 0.0578082i | \(-0.0184112\pi\) | |||||||
\(854\) | −47134.6 | + | 24989.2i | −1.88866 | + | 1.00130i | ||||
\(855\) | −73.6972 | − | 134.995i | −0.00294783 | − | 0.00539968i | ||||
\(856\) | 12706.2 | − | 688.908i | 0.507346 | − | 0.0275075i | ||||
\(857\) | −5536.34 | − | 10442.6i | −0.220674 | − | 0.416236i | 0.748313 | − | 0.663346i | \(-0.230864\pi\) |
−0.968988 | + | 0.247110i | \(0.920519\pi\) | |||||||
\(858\) | 47882.1 | + | 52720.2i | 1.90521 | + | 2.09771i | ||||
\(859\) | −10327.1 | − | 13585.1i | −0.410194 | − | 0.539601i | 0.543884 | − | 0.839161i | \(-0.316953\pi\) |
−0.954077 | + | 0.299560i | \(0.903160\pi\) | |||||||
\(860\) | 81.2338 | + | 61.7524i | 0.00322099 | + | 0.00244853i | ||||
\(861\) | −9989.04 | − | 3000.44i | −0.395384 | − | 0.118763i | ||||
\(862\) | 29623.0 | − | 28060.4i | 1.17049 | − | 1.10875i | ||||
\(863\) | 2164.75 | + | 13204.4i | 0.0853871 | + | 0.520838i | 0.994538 | + | 0.104372i | \(0.0332833\pi\) |
−0.909151 | + | 0.416466i | \(0.863268\pi\) | |||||||
\(864\) | −9753.40 | + | 12600.0i | −0.384048 | + | 0.496134i | ||||
\(865\) | −143.399 | + | 309.951i | −0.00563665 | + | 0.0121834i | ||||
\(866\) | −8751.80 | + | 16507.7i | −0.343416 | + | 0.647752i | ||||
\(867\) | −10886.1 | − | 42659.1i | −0.426425 | − | 1.67103i | ||||
\(868\) | 10338.0 | + | 7009.31i | 0.404255 | + | 0.274091i | ||||
\(869\) | −27298.0 | − | 6008.74i | −1.06562 | − | 0.234560i | ||||
\(870\) | 88.2207 | + | 43.0838i | 0.00343789 | + | 0.00167894i | ||||
\(871\) | 26810.0 | − | 16131.1i | 1.04297 | − | 0.627532i | ||||
\(872\) | −25423.6 | + | 21595.0i | −0.987330 | + | 0.838645i | ||||
\(873\) | 27877.7 | − | 27061.2i | 1.08078 | − | 1.04912i | ||||
\(874\) | −943.502 | + | 207.680i | −0.0365154 | + | 0.00803764i | ||||
\(875\) | −783.704 | − | 312.256i | −0.0302789 | − | 0.0120642i | ||||
\(876\) | 2462.88 | + | 7849.91i | 0.0949921 | + | 0.302767i | ||||
\(877\) | 1370.72 | − | 8361.02i | 0.0527776 | − | 0.321929i | −0.947222 | − | 0.320580i | \(-0.896122\pi\) |
0.999999 | − | 0.00134918i | \(-0.000429456\pi\) | |||||||
\(878\) | −1017.79 | − | 1501.12i | −0.0391215 | − | 0.0576999i | ||||
\(879\) | 7159.11 | + | 1328.41i | 0.274711 | + | 0.0509739i | ||||
\(880\) | 230.972 | − | 685.502i | 0.00884782 | − | 0.0262594i | ||||
\(881\) | −51726.9 | − | 5625.64i | −1.97812 | − | 0.215133i | −0.999974 | − | 0.00721000i | \(-0.997705\pi\) |
−0.978145 | − | 0.207923i | \(-0.933330\pi\) | |||||||
\(882\) | −4485.69 | − | 3716.77i | −0.171248 | − | 0.141894i | ||||
\(883\) | 1278.50 | − | 23580.5i | 0.0487257 | − | 0.898693i | −0.867353 | − | 0.497694i | \(-0.834180\pi\) |
0.916079 | − | 0.400999i | \(-0.131337\pi\) | |||||||
\(884\) | −22821.3 | −0.868284 | ||||||||
\(885\) | −279.024 | − | 276.531i | −0.0105981 | − | 0.0105034i | ||||
\(886\) | −4809.24 | −0.182358 | ||||||||
\(887\) | −667.839 | + | 12317.6i | −0.0252805 | + | 0.466272i | 0.958296 | + | 0.285779i | \(0.0922522\pi\) |
−0.983576 | + | 0.180493i | \(0.942231\pi\) | |||||||
\(888\) | −2461.07 | + | 18927.2i | −0.0930047 | + | 0.715265i | ||||
\(889\) | 9622.80 | + | 1046.54i | 0.363035 | + | 0.0394824i | ||||
\(890\) | 251.055 | − | 745.106i | 0.00945550 | − | 0.0280629i | ||||
\(891\) | 38684.8 | + | 11989.9i | 1.45453 | + | 0.450816i | ||||
\(892\) | −5930.60 | − | 8746.99i | −0.222614 | − | 0.328330i | ||||
\(893\) | 152.062 | − | 927.539i | 0.00569829 | − | 0.0347580i | ||||
\(894\) | 17888.5 | − | 5612.47i | 0.669219 | − | 0.209965i | ||||
\(895\) | 219.961 | + | 87.6404i | 0.00821506 | + | 0.00327318i | ||||
\(896\) | 34328.9 | − | 7556.36i | 1.27996 | − | 0.281742i | ||||
\(897\) | 805.201 | − | 3324.39i | 0.0299720 | − | 0.123744i | ||||
\(898\) | 9408.47 | − | 7991.63i | 0.349627 | − | 0.296976i | ||||
\(899\) | −7067.59 | + | 4252.43i | −0.262200 | + | 0.157760i | ||||
\(900\) | −4620.74 | − | 7471.49i | −0.171139 | − | 0.276722i | ||||
\(901\) | 41733.4 | + | 9186.22i | 1.54311 | + | 0.339664i | ||||
\(902\) | 14856.7 | + | 10073.1i | 0.548420 | + | 0.371838i | ||||
\(903\) | 23929.7 | − | 6106.56i | 0.881873 | − | 0.225043i | ||||
\(904\) | −5016.64 | + | 9462.40i | −0.184570 | + | 0.348136i | ||||
\(905\) | 69.1468 | − | 149.458i | 0.00253980 | − | 0.00548968i | ||||
\(906\) | 25881.9 | − | 13033.9i | 0.949081 | − | 0.477949i | ||||
\(907\) | 580.898 | + | 3543.32i | 0.0212662 | + | 0.129718i | 0.995326 | − | 0.0965732i | \(-0.0307882\pi\) |
−0.974060 | + | 0.226291i | \(0.927340\pi\) | |||||||
\(908\) | 4914.84 | − | 4655.58i | 0.179631 | − | 0.170155i | ||||
\(909\) | 7168.15 | − | 6241.08i | 0.261554 | − | 0.227727i | ||||
\(910\) | 662.830 | + | 503.870i | 0.0241457 | + | 0.0183551i | ||||
\(911\) | 6370.98 | + | 8380.89i | 0.231702 | + | 0.304798i | 0.897221 | − | 0.441583i | \(-0.145583\pi\) |
−0.665519 | + | 0.746381i | \(0.731790\pi\) | |||||||
\(912\) | −10251.2 | + | 9310.48i | −0.372207 | + | 0.338049i | ||||
\(913\) | 3482.17 | + | 6568.07i | 0.126225 | + | 0.238085i | ||||
\(914\) | 39470.1 | − | 2140.01i | 1.42840 | − | 0.0774454i | ||||
\(915\) | 341.761 | − | 613.202i | 0.0123479 | − | 0.0221550i | ||||
\(916\) | −350.424 | + | 185.783i | −0.0126401 | + | 0.00670136i | ||||
\(917\) | 13292.3 | − | 47874.7i | 0.478683 | − | 1.72406i | ||||
\(918\) | −45526.7 | + | 26852.7i | −1.63682 | + | 0.965437i | ||||
\(919\) | −8047.16 | + | 10585.9i | −0.288848 | + | 0.379973i | −0.917515 | − | 0.397702i | \(-0.869808\pi\) |
0.628667 | + | 0.777675i | \(0.283601\pi\) | |||||||
\(920\) | −24.5425 | + | 6.81420i | −0.000879503 | + | 0.000244193i | ||||
\(921\) | 41815.2 | − | 8288.87i | 1.49604 | − | 0.296555i | ||||
\(922\) | 33091.0 | − | 5425.00i | 1.18199 | − | 0.193777i | ||||
\(923\) | −70671.9 | − | 42521.9i | −2.52025 | − | 1.51639i | ||||
\(924\) | 8266.76 | + | 12760.7i | 0.294325 | + | 0.454325i | ||||
\(925\) | −23080.0 | − | 12236.2i | −0.820394 | − | 0.434945i | ||||
\(926\) | −6500.14 | + | 6862.12i | −0.230678 | + | 0.243524i | ||||
\(927\) | 5760.88 | − | 38046.6i | 0.204112 | − | 1.34802i | ||||
\(928\) | 849.197 | − | 3857.94i | 0.0300391 | − | 0.136469i | ||||
\(929\) | −41370.8 | + | 4499.35i | −1.46107 | + | 0.158901i | −0.803865 | − | 0.594812i | \(-0.797227\pi\) |
−0.657204 | + | 0.753713i | \(0.728261\pi\) | |||||||
\(930\) | −669.233 | − | 14.0373i | −0.0235968 | − | 0.000494946i | ||||
\(931\) | −1464.68 | − | 1724.36i | −0.0515607 | − | 0.0607020i | ||||
\(932\) | −2808.01 | + | 946.128i | −0.0986903 | + | 0.0332526i | ||||
\(933\) | −7525.32 | + | 20876.9i | −0.264060 | + | 0.732560i | ||||
\(934\) | −1602.42 | + | 4021.77i | −0.0561379 | + | 0.140895i | ||||
\(935\) | 694.182 | − | 817.255i | 0.0242804 | − | 0.0285851i | ||||
\(936\) | −10039.3 | − | 34516.2i | −0.350582 | − | 1.20534i | ||||
\(937\) | 13409.2 | − | 9091.67i | 0.467513 | − | 0.316982i | −0.304585 | − | 0.952485i | \(-0.598518\pi\) |
0.772098 | + | 0.635504i | \(0.219207\pi\) | |||||||
\(938\) | 25273.2 | − | 10069.7i | 0.879742 | − | 0.350521i | ||||
\(939\) | −28392.6 | + | 23109.6i | −0.986748 | + | 0.803145i | ||||
\(940\) | −1.29262 | + | 11.8854i | −4.48517e−5 | + | 0.000412404i | ||||
\(941\) | 14992.1 | − | 6936.06i | 0.519370 | − | 0.240286i | −0.142649 | − | 0.989773i | \(-0.545562\pi\) |
0.662019 | + | 0.749487i | \(0.269700\pi\) | |||||||
\(942\) | 44515.9 | + | 31565.1i | 1.53971 | + | 1.09177i | ||||
\(943\) | − | 862.091i | − | 0.0297705i | ||||||
\(944\) | −18285.0 | + | 30278.4i | −0.630429 | + | 1.04394i | ||||
\(945\) | 470.238 | + | 55.3092i | 0.0161871 | + | 0.00190392i | ||||
\(946\) | −42439.9 | − | 2301.02i | −1.45860 | − | 0.0790832i | ||||
\(947\) | 1004.43 | + | 2171.03i | 0.0344662 | + | 0.0744974i | 0.924044 | − | 0.382287i | \(-0.124863\pi\) |
−0.889578 | + | 0.456784i | \(0.849001\pi\) | |||||||
\(948\) | −5330.94 | − | 4231.77i | −0.182638 | − | 0.144980i | ||||
\(949\) | −43663.4 | − | 14711.9i | −1.49354 | − | 0.503234i | ||||
\(950\) | −5143.30 | − | 12908.7i | −0.175653 | − | 0.440857i | ||||
\(951\) | −11995.1 | + | 398.304i | −0.409010 | + | 0.0135814i | ||||
\(952\) | 40588.1 | + | 6654.08i | 1.38179 | + | 0.226533i | ||||
\(953\) | −13164.3 | − | 11181.9i | −0.447466 | − | 0.380081i | 0.395132 | − | 0.918624i | \(-0.370699\pi\) |
−0.842598 | + | 0.538543i | \(0.818975\pi\) | |||||||
\(954\) | −2154.20 | − | 32401.6i | −0.0731077 | − | 1.09962i | ||||
\(955\) | −6.12840 | − | 27.8416i | −0.000207655 | − | 0.000943386i | ||||
\(956\) | 1426.70 | + | 4234.30i | 0.0482665 | + | 0.143250i | ||||
\(957\) | −9940.37 | + | 1416.27i | −0.335764 | + | 0.0478386i | ||||
\(958\) | 15610.3 | + | 25944.6i | 0.526458 | + | 0.874981i | ||||
\(959\) | 1028.41 | + | 9456.12i | 0.0346290 | + | 0.318409i | ||||
\(960\) | −155.082 | + | 156.989i | −0.00521380 | + | 0.00527791i | ||||
\(961\) | 14840.8 | − | 21888.6i | 0.498165 | − | 0.734739i | ||||
\(962\) | 37439.1 | + | 35464.2i | 1.25477 | + | 1.18858i | ||||
\(963\) | 819.830 | − | 19534.3i | 0.0274337 | − | 0.653669i | ||||
\(964\) | −2203.05 | − | 1019.24i | −0.0736054 | − | 0.0340535i | ||||
\(965\) | −255.551 | + | 424.729i | −0.00852484 | + | 0.0141684i | ||||
\(966\) | 1158.53 | − | 2739.19i | 0.0385870 | − | 0.0912339i | ||||
\(967\) | 37674.0 | + | 39772.0i | 1.25286 | + | 1.32263i | 0.925985 | + | 0.377560i | \(0.123237\pi\) |
0.326875 | + | 0.945068i | \(0.394004\pi\) | |||||||
\(968\) | 8252.70 | + | 29723.5i | 0.274021 | + | 0.986933i | ||||
\(969\) | −19225.1 | + | 7196.59i | −0.637357 | + | 0.238584i | ||||
\(970\) | −622.293 | + | 473.055i | −0.0205986 | + | 0.0156586i | ||||
\(971\) | −8855.67 | − | 2458.77i | −0.292680 | − | 0.0812621i | 0.118085 | − | 0.993003i | \(-0.462324\pi\) |
−0.410765 | + | 0.911741i | \(0.634738\pi\) | |||||||
\(972\) | 7183.33 | + | 6757.27i | 0.237043 | + | 0.222983i | ||||
\(973\) | 908.475 | + | 16755.8i | 0.0299325 | + | 0.552073i | ||||
\(974\) | 1133.09 | + | 20898.6i | 0.0372758 | + | 0.687511i | ||||
\(975\) | 49059.8 | + | 3693.18i | 1.61146 | + | 0.121309i | ||||
\(976\) | −60904.6 | − | 16910.1i | −1.99745 | − | 0.554589i | ||||
\(977\) | 24822.7 | − | 18869.8i | 0.812845 | − | 0.617909i | −0.113946 | − | 0.993487i | \(-0.536349\pi\) |
0.926791 | + | 0.375578i | \(0.122556\pi\) | |||||||
\(978\) | −15079.4 | − | 40283.3i | −0.493032 | − | 1.31710i | ||||
\(979\) | 21512.3 | + | 77480.2i | 0.702283 | + | 2.52940i | ||||
\(980\) | 19.7905 | + | 20.8925i | 0.000645084 | + | 0.000681007i | ||||
\(981\) | 29278.7 | + | 42066.7i | 0.952901 | + | 1.36910i | ||||
\(982\) | 28130.8 | − | 46753.8i | 0.914146 | − | 1.51932i | ||||
\(983\) | −9431.11 | − | 4363.29i | −0.306008 | − | 0.141574i | 0.260875 | − | 0.965372i | \(-0.415989\pi\) |
−0.566883 | + | 0.823798i | \(0.691851\pi\) | |||||||
\(984\) | −4507.00 | − | 7859.21i | −0.146014 | − | 0.254616i | ||||
\(985\) | 25.6663 | + | 24.3124i | 0.000830249 | + | 0.000786454i | ||||
\(986\) | 7353.76 | − | 10846.0i | 0.237517 | − | 0.350311i | ||||
\(987\) | 2058.52 | + | 2033.51i | 0.0663864 | + | 0.0655800i | ||||
\(988\) | 728.215 | + | 6695.82i | 0.0234490 | + | 0.215610i | ||||
\(989\) | 1052.40 | + | 1749.11i | 0.0338367 | + | 0.0562370i | ||||
\(990\) | −743.661 | − | 333.082i | −0.0238738 | − | 0.0106930i | ||||
\(991\) | −4821.69 | − | 14310.3i | −0.154557 | − | 0.458709i | 0.842201 | − | 0.539163i | \(-0.181259\pi\) |
−0.996758 | + | 0.0804542i | \(0.974363\pi\) | |||||||
\(992\) | 5789.80 | + | 26303.3i | 0.185309 | + | 0.841866i | ||||
\(993\) | −11978.2 | + | 8715.37i | −0.382796 | + | 0.278524i | ||||
\(994\) | −54657.7 | − | 46426.7i | −1.74410 | − | 1.48145i | ||||
\(995\) | −816.066 | − | 133.787i | −0.0260010 | − | 0.00426265i | ||||
\(996\) | 60.0769 | + | 1809.25i | 0.00191126 | + | 0.0575584i | ||||
\(997\) | −4124.13 | − | 10350.8i | −0.131006 | − | 0.328799i | 0.848811 | − | 0.528696i | \(-0.177319\pi\) |
−0.979817 | + | 0.199896i | \(0.935939\pi\) | |||||||
\(998\) | 14516.9 | + | 4891.30i | 0.460444 | + | 0.155142i | ||||
\(999\) | 28584.3 | + | 6554.64i | 0.905271 | + | 0.207587i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.4.f.a.2.16 | ✓ | 1624 | |
3.2 | odd | 2 | inner | 177.4.f.a.2.43 | yes | 1624 | |
59.30 | odd | 58 | inner | 177.4.f.a.89.43 | yes | 1624 | |
177.89 | even | 58 | inner | 177.4.f.a.89.16 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.f.a.2.16 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
177.4.f.a.2.43 | yes | 1624 | 3.2 | odd | 2 | inner | |
177.4.f.a.89.16 | yes | 1624 | 177.89 | even | 58 | inner | |
177.4.f.a.89.43 | yes | 1624 | 59.30 | odd | 58 | inner |