Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [19,4,Mod(4,19)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(19, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("19.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 19.e (of order \(9\), degree \(6\), 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: | \(1.12103629011\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 19.9 |
Dual form | 19.4.e.a.17.3 |
$q$-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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.477474 | + | 2.70789i | 0.168813 | + | 0.957383i | 0.945046 | + | 0.326938i | \(0.106017\pi\) |
−0.776233 | + | 0.630446i | \(0.782872\pi\) | |||||||
\(3\) | −4.62264 | + | 3.87886i | −0.889628 | + | 0.746487i | −0.968136 | − | 0.250427i | \(-0.919429\pi\) |
0.0785074 | + | 0.996914i | \(0.474985\pi\) | |||||||
\(4\) | 0.412858 | − | 0.150268i | 0.0516073 | − | 0.0187835i | ||||
\(5\) | 5.11043 | + | 1.86004i | 0.457091 | + | 0.166367i | 0.560296 | − | 0.828293i | \(-0.310688\pi\) |
−0.103205 | + | 0.994660i | \(0.532910\pi\) | |||||||
\(6\) | −12.7107 | − | 10.6656i | −0.864854 | − | 0.725699i | ||||
\(7\) | 11.7392 | − | 20.3328i | 0.633856 | − | 1.09787i | −0.352900 | − | 0.935661i | \(-0.614805\pi\) |
0.986756 | − | 0.162210i | \(-0.0518621\pi\) | |||||||
\(8\) | 11.6027 | + | 20.0964i | 0.512771 | + | 0.888146i | ||||
\(9\) | 1.63479 | − | 9.27135i | 0.0605477 | − | 0.343383i | ||||
\(10\) | −2.59670 | + | 14.7266i | −0.0821148 | + | 0.465696i | ||||
\(11\) | −23.6008 | − | 40.8778i | −0.646901 | − | 1.12046i | −0.983859 | − | 0.178945i | \(-0.942732\pi\) |
0.336959 | − | 0.941519i | \(-0.390602\pi\) | |||||||
\(12\) | −1.32563 | + | 2.29605i | −0.0318896 | + | 0.0552345i | ||||
\(13\) | −14.0615 | − | 11.7990i | −0.299997 | − | 0.251728i | 0.480346 | − | 0.877079i | \(-0.340511\pi\) |
−0.780343 | + | 0.625351i | \(0.784956\pi\) | |||||||
\(14\) | 60.6643 | + | 22.0800i | 1.15809 | + | 0.421509i | ||||
\(15\) | −30.8385 | + | 11.2243i | −0.530832 | + | 0.193207i | ||||
\(16\) | −46.1865 | + | 38.7550i | −0.721663 | + | 0.605547i | ||||
\(17\) | 16.8867 | + | 95.7695i | 0.240920 | + | 1.36632i | 0.829780 | + | 0.558090i | \(0.188466\pi\) |
−0.588861 | + | 0.808235i | \(0.700423\pi\) | |||||||
\(18\) | 25.8864 | 0.338971 | ||||||||
\(19\) | −25.4519 | − | 78.8112i | −0.307320 | − | 0.951606i | ||||
\(20\) | 2.38939 | 0.0267142 | ||||||||
\(21\) | 24.6022 | + | 139.526i | 0.255650 | + | 1.44986i | ||||
\(22\) | 99.4237 | − | 83.4264i | 0.963509 | − | 0.808480i | ||||
\(23\) | 84.7939 | − | 30.8625i | 0.768728 | − | 0.279794i | 0.0722640 | − | 0.997386i | \(-0.476978\pi\) |
0.696464 | + | 0.717591i | \(0.254755\pi\) | |||||||
\(24\) | −131.586 | − | 47.8935i | −1.11916 | − | 0.407343i | ||||
\(25\) | −73.0988 | − | 61.3372i | −0.584791 | − | 0.490698i | ||||
\(26\) | 25.2364 | − | 43.7108i | 0.190357 | − | 0.329707i | ||||
\(27\) | −53.0596 | − | 91.9020i | −0.378197 | − | 0.655057i | ||||
\(28\) | 1.79124 | − | 10.1586i | 0.0120897 | − | 0.0685641i | ||||
\(29\) | 16.0833 | − | 91.2129i | 0.102986 | − | 0.584062i | −0.889020 | − | 0.457869i | \(-0.848613\pi\) |
0.992006 | − | 0.126193i | \(-0.0402760\pi\) | |||||||
\(30\) | −45.1188 | − | 78.1481i | −0.274584 | − | 0.475594i | ||||
\(31\) | −142.156 | + | 246.222i | −0.823613 | + | 1.42654i | 0.0793624 | + | 0.996846i | \(0.474712\pi\) |
−0.902975 | + | 0.429693i | \(0.858622\pi\) | |||||||
\(32\) | 15.2136 | + | 12.7658i | 0.0840443 | + | 0.0705215i | ||||
\(33\) | 267.657 | + | 97.4192i | 1.41191 | + | 0.513894i | ||||
\(34\) | −251.270 | + | 91.4549i | −1.26743 | + | 0.461305i | ||||
\(35\) | 97.8122 | − | 82.0742i | 0.472380 | − | 0.396374i | ||||
\(36\) | −0.718252 | − | 4.07341i | −0.00332524 | − | 0.0188584i | ||||
\(37\) | 232.514 | 1.03311 | 0.516555 | − | 0.856254i | \(-0.327214\pi\) | ||||
0.516555 | + | 0.856254i | \(0.327214\pi\) | |||||||
\(38\) | 201.259 | − | 106.551i | 0.859173 | − | 0.454866i | ||||
\(39\) | 110.768 | 0.454798 | ||||||||
\(40\) | 21.9144 | + | 124.283i | 0.0866245 | + | 0.491272i | ||||
\(41\) | −197.399 | + | 165.638i | −0.751918 | + | 0.630934i | −0.936009 | − | 0.351975i | \(-0.885510\pi\) |
0.184092 | + | 0.982909i | \(0.441066\pi\) | |||||||
\(42\) | −366.074 | + | 133.240i | −1.34492 | + | 0.489510i | ||||
\(43\) | −75.7804 | − | 27.5818i | −0.268754 | − | 0.0978184i | 0.204128 | − | 0.978944i | \(-0.434564\pi\) |
−0.472882 | + | 0.881126i | \(0.656786\pi\) | |||||||
\(44\) | −15.8864 | − | 13.3303i | −0.0544310 | − | 0.0456730i | ||||
\(45\) | 25.5996 | − | 44.3398i | 0.0848036 | − | 0.146884i | ||||
\(46\) | 124.059 | + | 214.877i | 0.397641 | + | 0.688735i | ||||
\(47\) | −85.6235 | + | 485.595i | −0.265734 | + | 1.50705i | 0.501205 | + | 0.865329i | \(0.332890\pi\) |
−0.766938 | + | 0.641721i | \(0.778221\pi\) | |||||||
\(48\) | 63.1782 | − | 358.301i | 0.189979 | − | 1.07742i | ||||
\(49\) | −104.116 | − | 180.335i | −0.303547 | − | 0.525758i | ||||
\(50\) | 131.192 | − | 227.230i | 0.371066 | − | 0.642705i | ||||
\(51\) | −449.538 | − | 377.207i | −1.23427 | − | 1.03568i | ||||
\(52\) | −7.57843 | − | 2.75832i | −0.0202104 | − | 0.00735597i | ||||
\(53\) | −106.793 | + | 38.8693i | −0.276775 | + | 0.100738i | −0.476679 | − | 0.879078i | \(-0.658159\pi\) |
0.199903 | + | 0.979816i | \(0.435937\pi\) | |||||||
\(54\) | 223.526 | − | 187.560i | 0.563296 | − | 0.472662i | ||||
\(55\) | −44.5757 | − | 252.802i | −0.109283 | − | 0.619777i | ||||
\(56\) | 544.824 | 1.30009 | ||||||||
\(57\) | 423.353 | + | 265.591i | 0.983762 | + | 0.617166i | ||||
\(58\) | 254.674 | 0.576557 | ||||||||
\(59\) | −31.3837 | − | 177.986i | −0.0692509 | − | 0.392741i | −0.999656 | − | 0.0262097i | \(-0.991656\pi\) |
0.930406 | − | 0.366532i | \(-0.119455\pi\) | |||||||
\(60\) | −11.0453 | + | 9.26810i | −0.0237657 | + | 0.0199418i | ||||
\(61\) | 259.591 | − | 94.4833i | 0.544872 | − | 0.198317i | −0.0548947 | − | 0.998492i | \(-0.517482\pi\) |
0.599767 | + | 0.800175i | \(0.295260\pi\) | |||||||
\(62\) | −734.617 | − | 267.379i | −1.50478 | − | 0.547695i | ||||
\(63\) | −169.322 | − | 142.078i | −0.338612 | − | 0.284129i | ||||
\(64\) | −268.473 | + | 465.008i | −0.524361 | + | 0.908219i | ||||
\(65\) | −49.9138 | − | 86.4532i | −0.0952468 | − | 0.164972i | ||||
\(66\) | −136.001 | + | 771.301i | −0.253645 | + | 1.43849i | ||||
\(67\) | 26.9102 | − | 152.615i | 0.0490686 | − | 0.278282i | −0.950394 | − | 0.311047i | \(-0.899320\pi\) |
0.999463 | + | 0.0327652i | \(0.0104314\pi\) | |||||||
\(68\) | 21.3629 | + | 37.0017i | 0.0380976 | + | 0.0659869i | ||||
\(69\) | −272.261 | + | 471.570i | −0.475020 | + | 0.822758i | ||||
\(70\) | 268.951 | + | 225.676i | 0.459225 | + | 0.385336i | ||||
\(71\) | −577.366 | − | 210.144i | −0.965080 | − | 0.351261i | −0.189058 | − | 0.981966i | \(-0.560543\pi\) |
−0.776022 | + | 0.630705i | \(0.782766\pi\) | |||||||
\(72\) | 205.289 | − | 74.7191i | 0.336022 | − | 0.122302i | ||||
\(73\) | 368.338 | − | 309.072i | 0.590557 | − | 0.495536i | −0.297838 | − | 0.954616i | \(-0.596265\pi\) |
0.888395 | + | 0.459080i | \(0.151821\pi\) | |||||||
\(74\) | 111.019 | + | 629.622i | 0.174402 | + | 0.989082i | ||||
\(75\) | 575.828 | 0.886545 | ||||||||
\(76\) | −22.3508 | − | 28.7132i | −0.0337344 | − | 0.0433372i | ||||
\(77\) | −1108.22 | −1.64017 | ||||||||
\(78\) | 52.8889 | + | 299.948i | 0.0767755 | + | 0.435416i | ||||
\(79\) | 975.594 | − | 818.621i | 1.38940 | − | 1.16585i | 0.423824 | − | 0.905745i | \(-0.360688\pi\) |
0.965581 | − | 0.260104i | \(-0.0837568\pi\) | |||||||
\(80\) | −308.119 | + | 112.146i | −0.430609 | + | 0.156729i | ||||
\(81\) | 840.609 | + | 305.957i | 1.15310 | + | 0.419694i | ||||
\(82\) | −542.782 | − | 455.448i | −0.730979 | − | 0.613364i | ||||
\(83\) | −154.093 | + | 266.896i | −0.203781 | + | 0.352960i | −0.949744 | − | 0.313028i | \(-0.898657\pi\) |
0.745962 | + | 0.665988i | \(0.231990\pi\) | |||||||
\(84\) | 31.1235 | + | 53.9075i | 0.0404269 | + | 0.0700214i | ||||
\(85\) | −91.8370 | + | 520.834i | −0.117190 | + | 0.664616i | ||||
\(86\) | 38.5053 | − | 218.375i | 0.0482807 | − | 0.273813i | ||||
\(87\) | 279.455 | + | 484.029i | 0.344376 | + | 0.596476i | ||||
\(88\) | 547.665 | − | 948.584i | 0.663424 | − | 1.14908i | ||||
\(89\) | 32.1471 | + | 26.9746i | 0.0382875 | + | 0.0321270i | 0.661731 | − | 0.749742i | \(-0.269822\pi\) |
−0.623443 | + | 0.781869i | \(0.714267\pi\) | |||||||
\(90\) | 132.290 | + | 48.1498i | 0.154940 | + | 0.0563937i | ||||
\(91\) | −404.979 | + | 147.400i | −0.466520 | + | 0.169799i | ||||
\(92\) | 30.3702 | − | 25.4836i | 0.0344164 | − | 0.0288788i | ||||
\(93\) | −297.922 | − | 1689.60i | −0.332183 | − | 1.88390i | ||||
\(94\) | −1355.82 | −1.48768 | ||||||||
\(95\) | 16.5219 | − | 450.101i | 0.0178433 | − | 0.486098i | ||||
\(96\) | −119.844 | −0.127412 | ||||||||
\(97\) | 98.6409 | + | 559.420i | 0.103252 | + | 0.585572i | 0.991904 | + | 0.126990i | \(0.0405316\pi\) |
−0.888652 | + | 0.458583i | \(0.848357\pi\) | |||||||
\(98\) | 438.614 | − | 368.041i | 0.452110 | − | 0.379365i | ||||
\(99\) | −417.574 | + | 151.985i | −0.423917 | + | 0.154293i | ||||
\(100\) | −39.3965 | − | 14.3391i | −0.0393965 | − | 0.0143391i | ||||
\(101\) | −5.35419 | − | 4.49270i | −0.00527487 | − | 0.00442614i | 0.640146 | − | 0.768253i | \(-0.278874\pi\) |
−0.645421 | + | 0.763827i | \(0.723318\pi\) | |||||||
\(102\) | 806.792 | − | 1397.41i | 0.783180 | − | 1.35651i | ||||
\(103\) | 439.531 | + | 761.289i | 0.420468 | + | 0.728273i | 0.995985 | − | 0.0895173i | \(-0.0285324\pi\) |
−0.575517 | + | 0.817790i | \(0.695199\pi\) | |||||||
\(104\) | 73.9669 | − | 419.487i | 0.0697409 | − | 0.395520i | ||||
\(105\) | −133.797 | + | 758.800i | −0.124355 | + | 0.705250i | ||||
\(106\) | −156.244 | − | 270.623i | −0.143168 | − | 0.247974i | ||||
\(107\) | −426.585 | + | 738.867i | −0.385416 | + | 0.667560i | −0.991827 | − | 0.127591i | \(-0.959275\pi\) |
0.606411 | + | 0.795152i | \(0.292609\pi\) | |||||||
\(108\) | −35.7160 | − | 29.9693i | −0.0318220 | − | 0.0267018i | ||||
\(109\) | 496.022 | + | 180.537i | 0.435874 | + | 0.158645i | 0.550632 | − | 0.834748i | \(-0.314387\pi\) |
−0.114757 | + | 0.993394i | \(0.536609\pi\) | |||||||
\(110\) | 663.275 | − | 241.412i | 0.574916 | − | 0.209252i | ||||
\(111\) | −1074.83 | + | 901.889i | −0.919084 | + | 0.771203i | ||||
\(112\) | 245.809 | + | 1394.05i | 0.207382 | + | 1.17612i | ||||
\(113\) | −387.539 | −0.322625 | −0.161312 | − | 0.986903i | \(-0.551573\pi\) | ||||
−0.161312 | + | 0.986903i | \(0.551573\pi\) | |||||||
\(114\) | −517.052 | + | 1273.20i | −0.424793 | + | 1.04602i | ||||
\(115\) | 490.739 | 0.397927 | ||||||||
\(116\) | −7.06626 | − | 40.0748i | −0.00565592 | − | 0.0320763i | ||||
\(117\) | −132.381 | + | 111.080i | −0.104603 | + | 0.0877726i | ||||
\(118\) | 466.980 | − | 169.967i | 0.364314 | − | 0.132599i | ||||
\(119\) | 2145.50 | + | 780.899i | 1.65276 | + | 0.601554i | ||||
\(120\) | −583.379 | − | 489.513i | −0.443791 | − | 0.372385i | ||||
\(121\) | −448.495 | + | 776.815i | −0.336961 | + | 0.583633i | ||||
\(122\) | 379.798 | + | 657.830i | 0.281847 | + | 0.488173i | ||||
\(123\) | 270.022 | − | 1531.37i | 0.197943 | − | 1.12259i | ||||
\(124\) | −21.6911 | + | 123.016i | −0.0157090 | + | 0.0890901i | ||||
\(125\) | −599.377 | − | 1038.15i | −0.428879 | − | 0.742841i | ||||
\(126\) | 303.884 | − | 526.343i | 0.214859 | − | 0.372146i | ||||
\(127\) | −437.956 | − | 367.489i | −0.306002 | − | 0.256767i | 0.476835 | − | 0.878993i | \(-0.341784\pi\) |
−0.782837 | + | 0.622226i | \(0.786228\pi\) | |||||||
\(128\) | −1238.08 | − | 450.625i | −0.854937 | − | 0.311172i | ||||
\(129\) | 457.292 | − | 166.441i | 0.312111 | − | 0.113599i | ||||
\(130\) | 210.273 | − | 176.440i | 0.141863 | − | 0.119037i | ||||
\(131\) | −7.61560 | − | 43.1902i | −0.00507922 | − | 0.0288057i | 0.982163 | − | 0.188032i | \(-0.0602110\pi\) |
−0.987242 | + | 0.159227i | \(0.949100\pi\) | |||||||
\(132\) | 125.143 | 0.0825177 | ||||||||
\(133\) | −1901.24 | − | 407.668i | −1.23954 | − | 0.265784i | ||||
\(134\) | 426.114 | 0.274706 | ||||||||
\(135\) | −100.216 | − | 568.352i | −0.0638904 | − | 0.362340i | ||||
\(136\) | −1728.70 | + | 1450.55i | −1.08996 | + | 0.914584i | ||||
\(137\) | 1958.25 | − | 712.743i | 1.22120 | − | 0.444480i | 0.350624 | − | 0.936516i | \(-0.385970\pi\) |
0.870575 | + | 0.492036i | \(0.163747\pi\) | |||||||
\(138\) | −1406.96 | − | 512.090i | −0.867885 | − | 0.315884i | ||||
\(139\) | 1763.12 | + | 1479.43i | 1.07587 | + | 0.902762i | 0.995571 | − | 0.0940092i | \(-0.0299683\pi\) |
0.0802982 | + | 0.996771i | \(0.474413\pi\) | |||||||
\(140\) | 28.0494 | − | 48.5831i | 0.0169329 | − | 0.0293287i | ||||
\(141\) | −1487.75 | − | 2576.85i | −0.888588 | − | 1.53908i | ||||
\(142\) | 293.369 | − | 1663.78i | 0.173373 | − | 0.983249i | ||||
\(143\) | −150.455 | + | 853.270i | −0.0879835 | + | 0.498979i | ||||
\(144\) | 283.806 | + | 491.567i | 0.164240 | + | 0.284472i | ||||
\(145\) | 251.853 | − | 436.221i | 0.144243 | − | 0.249836i | ||||
\(146\) | 1012.80 | + | 849.844i | 0.574111 | + | 0.481737i | ||||
\(147\) | 1180.79 | + | 429.771i | 0.662515 | + | 0.241136i | ||||
\(148\) | 95.9953 | − | 34.9394i | 0.0533160 | − | 0.0194054i | ||||
\(149\) | −286.850 | + | 240.696i | −0.157716 | + | 0.132339i | −0.718231 | − | 0.695805i | \(-0.755048\pi\) |
0.560515 | + | 0.828144i | \(0.310603\pi\) | |||||||
\(150\) | 274.943 | + | 1559.28i | 0.149660 | + | 0.848764i | ||||
\(151\) | −496.496 | −0.267578 | −0.133789 | − | 0.991010i | \(-0.542714\pi\) | ||||
−0.133789 | + | 0.991010i | \(0.542714\pi\) | |||||||
\(152\) | 1288.51 | − | 1425.92i | 0.687580 | − | 0.760901i | ||||
\(153\) | 915.519 | 0.483760 | ||||||||
\(154\) | −529.144 | − | 3000.92i | −0.276881 | − | 1.57027i | ||||
\(155\) | −1184.46 | + | 993.882i | −0.613795 | + | 0.515035i | ||||
\(156\) | 45.7315 | − | 16.6449i | 0.0234709 | − | 0.00854269i | ||||
\(157\) | −2592.46 | − | 943.577i | −1.31784 | − | 0.479654i | −0.415073 | − | 0.909788i | \(-0.636244\pi\) |
−0.902765 | + | 0.430134i | \(0.858466\pi\) | |||||||
\(158\) | 2682.56 | + | 2250.93i | 1.35071 | + | 1.13338i | ||||
\(159\) | 342.895 | − | 593.912i | 0.171028 | − | 0.296228i | ||||
\(160\) | 54.0034 | + | 93.5366i | 0.0266834 | + | 0.0462170i | ||||
\(161\) | 367.889 | − | 2086.40i | 0.180085 | − | 1.02131i | ||||
\(162\) | −427.128 | + | 2422.36i | −0.207150 | + | 1.17481i | ||||
\(163\) | 1856.68 | + | 3215.87i | 0.892188 | + | 1.54531i | 0.837247 | + | 0.546825i | \(0.184164\pi\) |
0.0549404 | + | 0.998490i | \(0.482503\pi\) | |||||||
\(164\) | −56.6079 | + | 98.0477i | −0.0269533 | + | 0.0466844i | ||||
\(165\) | 1186.64 | + | 995.708i | 0.559877 | + | 0.469793i | ||||
\(166\) | −796.301 | − | 289.830i | −0.372319 | − | 0.135513i | ||||
\(167\) | −1406.58 | + | 511.954i | −0.651764 | + | 0.237223i | −0.646677 | − | 0.762764i | \(-0.723842\pi\) |
−0.00508752 | + | 0.999987i | \(0.501619\pi\) | |||||||
\(168\) | −2518.53 | + | 2113.30i | −1.15660 | + | 0.970502i | ||||
\(169\) | −322.995 | − | 1831.80i | −0.147017 | − | 0.833772i | ||||
\(170\) | −1454.21 | −0.656075 | ||||||||
\(171\) | −772.294 | + | 107.134i | −0.345373 | + | 0.0479109i | ||||
\(172\) | −35.4312 | −0.0157070 | ||||||||
\(173\) | 98.3955 | + | 558.029i | 0.0432420 | + | 0.245238i | 0.998765 | − | 0.0496780i | \(-0.0158195\pi\) |
−0.955523 | + | 0.294916i | \(0.904708\pi\) | |||||||
\(174\) | −1177.27 | + | 987.843i | −0.512921 | + | 0.430392i | ||||
\(175\) | −2105.28 | + | 766.259i | −0.909395 | + | 0.330993i | ||||
\(176\) | 2674.26 | + | 973.350i | 1.14534 | + | 0.416869i | ||||
\(177\) | 835.456 | + | 701.031i | 0.354784 | + | 0.297699i | ||||
\(178\) | −57.6949 | + | 99.9304i | −0.0242945 | + | 0.0420792i | ||||
\(179\) | −1443.68 | − | 2500.53i | −0.602826 | − | 1.04413i | −0.992391 | − | 0.123127i | \(-0.960708\pi\) |
0.389565 | − | 0.920999i | \(-0.372626\pi\) | |||||||
\(180\) | 3.90614 | − | 22.1528i | 0.00161748 | − | 0.00917320i | ||||
\(181\) | 404.469 | − | 2293.86i | 0.166099 | − | 0.941995i | −0.781825 | − | 0.623498i | \(-0.785711\pi\) |
0.947924 | − | 0.318497i | \(-0.103178\pi\) | |||||||
\(182\) | −592.510 | − | 1026.26i | −0.241317 | − | 0.417974i | ||||
\(183\) | −833.508 | + | 1443.68i | −0.336692 | + | 0.583168i | ||||
\(184\) | 1604.06 | + | 1345.97i | 0.642680 | + | 0.539273i | ||||
\(185\) | 1188.25 | + | 432.486i | 0.472225 | + | 0.171876i | ||||
\(186\) | 4432.99 | − | 1613.48i | 1.74754 | − | 0.636054i | ||||
\(187\) | 3516.30 | − | 2950.53i | 1.37507 | − | 1.15382i | ||||
\(188\) | 37.6191 | + | 213.348i | 0.0145939 | + | 0.0827661i | ||||
\(189\) | −2491.51 | −0.958891 | ||||||||
\(190\) | 1226.71 | − | 170.172i | 0.468395 | − | 0.0649767i | ||||
\(191\) | 2368.42 | 0.897239 | 0.448620 | − | 0.893723i | \(-0.351916\pi\) | ||||
0.448620 | + | 0.893723i | \(0.351916\pi\) | |||||||
\(192\) | −562.648 | − | 3190.94i | −0.211488 | − | 1.19941i | ||||
\(193\) | −2094.11 | + | 1757.17i | −0.781022 | + | 0.655355i | −0.943506 | − | 0.331356i | \(-0.892494\pi\) |
0.162484 | + | 0.986711i | \(0.448049\pi\) | |||||||
\(194\) | −1467.75 | + | 534.217i | −0.543187 | + | 0.197704i | ||||
\(195\) | 566.073 | + | 206.034i | 0.207884 | + | 0.0756635i | ||||
\(196\) | −70.0839 | − | 58.8074i | −0.0255408 | − | 0.0214313i | ||||
\(197\) | −1088.18 | + | 1884.79i | −0.393552 | + | 0.681652i | −0.992915 | − | 0.118825i | \(-0.962087\pi\) |
0.599363 | + | 0.800477i | \(0.295420\pi\) | |||||||
\(198\) | −610.938 | − | 1058.18i | −0.219280 | − | 0.379805i | ||||
\(199\) | 896.373 | − | 5083.58i | 0.319308 | − | 1.81088i | −0.227673 | − | 0.973738i | \(-0.573112\pi\) |
0.546981 | − | 0.837145i | \(-0.315777\pi\) | |||||||
\(200\) | 384.517 | − | 2180.70i | 0.135947 | − | 0.770995i | ||||
\(201\) | 467.576 | + | 809.866i | 0.164081 | + | 0.284197i | ||||
\(202\) | 9.60925 | − | 16.6437i | 0.00334705 | − | 0.00579726i | ||||
\(203\) | −1665.81 | − | 1397.78i | −0.575947 | − | 0.483277i | ||||
\(204\) | −242.277 | − | 88.1818i | −0.0831510 | − | 0.0302645i | ||||
\(205\) | −1316.89 | + | 479.309i | −0.448661 | + | 0.163299i | ||||
\(206\) | −1851.62 | + | 1553.70i | −0.626256 | + | 0.525491i | ||||
\(207\) | −147.517 | − | 836.608i | −0.0495319 | − | 0.280909i | ||||
\(208\) | 1106.72 | 0.368930 | ||||||||
\(209\) | −2620.94 | + | 2900.42i | −0.867436 | + | 0.959936i | ||||
\(210\) | −2118.63 | −0.696187 | ||||||||
\(211\) | 610.668 | + | 3463.27i | 0.199242 | + | 1.12996i | 0.906246 | + | 0.422750i | \(0.138935\pi\) |
−0.707004 | + | 0.707209i | \(0.749954\pi\) | |||||||
\(212\) | −38.2494 | + | 32.0950i | −0.0123914 | + | 0.0103976i | ||||
\(213\) | 3484.07 | − | 1268.10i | 1.12077 | − | 0.407928i | ||||
\(214\) | −2204.45 | − | 802.355i | −0.704174 | − | 0.256298i | ||||
\(215\) | −335.967 | − | 281.910i | −0.106571 | − | 0.0894237i | ||||
\(216\) | 1231.27 | − | 2132.62i | 0.387858 | − | 0.671789i | ||||
\(217\) | 3337.59 | + | 5780.88i | 1.04410 | + | 1.80844i | ||||
\(218\) | −252.037 | + | 1429.38i | −0.0783033 | + | 0.444080i | ||||
\(219\) | −503.847 | + | 2857.46i | −0.155465 | + | 0.881686i | ||||
\(220\) | −56.3914 | − | 97.6728i | −0.0172814 | − | 0.0299323i | ||||
\(221\) | 892.533 | − | 1545.91i | 0.271666 | − | 0.470540i | ||||
\(222\) | −2955.42 | − | 2479.89i | −0.893490 | − | 0.749727i | ||||
\(223\) | −1988.21 | − | 723.650i | −0.597043 | − | 0.217306i | 0.0257814 | − | 0.999668i | \(-0.491793\pi\) |
−0.622824 | + | 0.782362i | \(0.714015\pi\) | |||||||
\(224\) | 438.160 | − | 159.477i | 0.130695 | − | 0.0475693i | ||||
\(225\) | −688.180 | + | 577.451i | −0.203905 | + | 0.171097i | ||||
\(226\) | −185.040 | − | 1049.41i | −0.0544631 | − | 0.308875i | ||||
\(227\) | −1257.38 | −0.367644 | −0.183822 | − | 0.982960i | \(-0.558847\pi\) | ||||
−0.183822 | + | 0.982960i | \(0.558847\pi\) | |||||||
\(228\) | 214.694 | + | 46.0352i | 0.0623618 | + | 0.0133717i | ||||
\(229\) | 1823.23 | 0.526125 | 0.263063 | − | 0.964779i | \(-0.415267\pi\) | ||||
0.263063 | + | 0.964779i | \(0.415267\pi\) | |||||||
\(230\) | 234.315 | + | 1328.87i | 0.0671751 | + | 0.380969i | ||||
\(231\) | 5122.88 | − | 4298.61i | 1.45914 | − | 1.22436i | ||||
\(232\) | 2019.66 | − | 735.098i | 0.571541 | − | 0.208024i | ||||
\(233\) | 6446.27 | + | 2346.25i | 1.81248 | + | 0.659691i | 0.996685 | + | 0.0813561i | \(0.0259251\pi\) |
0.815800 | + | 0.578334i | \(0.196297\pi\) | |||||||
\(234\) | −364.002 | − | 305.434i | −0.101690 | − | 0.0853283i | ||||
\(235\) | −1340.80 | + | 2322.34i | −0.372188 | + | 0.644649i | ||||
\(236\) | −39.7025 | − | 68.7668i | −0.0109509 | − | 0.0189675i | ||||
\(237\) | −1334.51 | + | 7568.38i | −0.365763 | + | 2.07434i | ||||
\(238\) | −1090.17 | + | 6182.64i | −0.296912 | + | 1.68387i | ||||
\(239\) | −1965.93 | − | 3405.09i | −0.532072 | − | 0.921576i | −0.999299 | − | 0.0374388i | \(-0.988080\pi\) |
0.467227 | − | 0.884138i | \(-0.345253\pi\) | |||||||
\(240\) | 989.324 | − | 1713.56i | 0.266086 | − | 0.460874i | ||||
\(241\) | 2081.75 | + | 1746.80i | 0.556420 | + | 0.466892i | 0.877108 | − | 0.480293i | \(-0.159470\pi\) |
−0.320688 | + | 0.947185i | \(0.603914\pi\) | |||||||
\(242\) | −2317.67 | − | 843.565i | −0.615644 | − | 0.224076i | ||||
\(243\) | −2380.17 | + | 866.312i | −0.628346 | + | 0.228699i | ||||
\(244\) | 92.9763 | − | 78.0164i | 0.0243942 | − | 0.0204692i | ||||
\(245\) | −196.649 | − | 1115.25i | −0.0512793 | − | 0.290819i | ||||
\(246\) | 4275.71 | 1.10817 | ||||||||
\(247\) | −572.002 | + | 1408.51i | −0.147351 | + | 0.362840i | ||||
\(248\) | −6597.57 | −1.68930 | ||||||||
\(249\) | −322.938 | − | 1831.47i | −0.0821901 | − | 0.466123i | ||||
\(250\) | 2525.01 | − | 2118.74i | 0.638783 | − | 0.536003i | ||||
\(251\) | −3027.38 | + | 1101.88i | −0.761302 | + | 0.277091i | −0.693354 | − | 0.720597i | \(-0.743868\pi\) |
−0.0679486 | + | 0.997689i | \(0.521645\pi\) | |||||||
\(252\) | −91.2557 | − | 33.2143i | −0.0228118 | − | 0.00830281i | ||||
\(253\) | −3262.79 | − | 2737.81i | −0.810790 | − | 0.680334i | ||||
\(254\) | 786.006 | − | 1361.40i | 0.194167 | − | 0.336307i | ||||
\(255\) | −1595.71 | − | 2763.85i | −0.391871 | − | 0.678741i | ||||
\(256\) | −116.826 | + | 662.555i | −0.0285220 | + | 0.161756i | ||||
\(257\) | 1218.62 | − | 6911.11i | 0.295779 | − | 1.67744i | −0.368241 | − | 0.929730i | \(-0.620040\pi\) |
0.664020 | − | 0.747715i | \(-0.268849\pi\) | |||||||
\(258\) | 669.048 | + | 1158.82i | 0.161446 | + | 0.279633i | ||||
\(259\) | 2729.52 | − | 4727.67i | 0.654843 | − | 1.13422i | ||||
\(260\) | −33.5984 | − | 28.1924i | −0.00801418 | − | 0.00672470i | ||||
\(261\) | −819.374 | − | 298.228i | −0.194322 | − | 0.0707273i | ||||
\(262\) | 113.318 | − | 41.2444i | 0.0267207 | − | 0.00972553i | ||||
\(263\) | −107.382 | + | 90.1044i | −0.0251767 | + | 0.0211258i | −0.655289 | − | 0.755378i | \(-0.727453\pi\) |
0.630112 | + | 0.776504i | \(0.283009\pi\) | |||||||
\(264\) | 1147.76 | + | 6509.28i | 0.267575 | + | 1.51749i | ||||
\(265\) | −618.055 | −0.143271 | ||||||||
\(266\) | 196.126 | − | 5343.00i | 0.0452077 | − | 1.23158i | ||||
\(267\) | −253.235 | −0.0580440 | ||||||||
\(268\) | −11.8231 | − | 67.0521i | −0.00269481 | − | 0.0152831i | ||||
\(269\) | 2625.17 | − | 2202.78i | 0.595016 | − | 0.499278i | −0.294823 | − | 0.955552i | \(-0.595261\pi\) |
0.889839 | + | 0.456274i | \(0.150816\pi\) | |||||||
\(270\) | 1491.18 | − | 542.746i | 0.336113 | − | 0.122335i | ||||
\(271\) | −3006.87 | − | 1094.41i | −0.674001 | − | 0.245316i | −0.0177312 | − | 0.999843i | \(-0.505644\pi\) |
−0.656269 | + | 0.754527i | \(0.727867\pi\) | |||||||
\(272\) | −4491.49 | − | 3768.81i | −1.00124 | − | 0.840138i | ||||
\(273\) | 1300.33 | − | 2252.23i | 0.288276 | − | 0.499309i | ||||
\(274\) | 2865.04 | + | 4962.40i | 0.631691 | + | 1.09412i | ||||
\(275\) | −782.138 | + | 4435.72i | −0.171508 | + | 0.972670i | ||||
\(276\) | −41.5432 | + | 235.603i | −0.00906018 | + | 0.0513828i | ||||
\(277\) | −818.845 | − | 1418.28i | −0.177616 | − | 0.307640i | 0.763447 | − | 0.645870i | \(-0.223505\pi\) |
−0.941063 | + | 0.338230i | \(0.890172\pi\) | |||||||
\(278\) | −3164.30 | + | 5480.72i | −0.682669 | + | 1.18242i | ||||
\(279\) | 2050.41 | + | 1720.50i | 0.439982 | + | 0.369189i | ||||
\(280\) | 2784.29 | + | 1013.40i | 0.594260 | + | 0.216293i | ||||
\(281\) | 1120.25 | − | 407.736i | 0.237823 | − | 0.0865605i | −0.220359 | − | 0.975419i | \(-0.570723\pi\) |
0.458182 | + | 0.888858i | \(0.348501\pi\) | |||||||
\(282\) | 6267.48 | − | 5259.04i | 1.32349 | − | 1.11054i | ||||
\(283\) | −419.567 | − | 2379.48i | −0.0881295 | − | 0.499807i | −0.996637 | − | 0.0819395i | \(-0.973889\pi\) |
0.908508 | − | 0.417868i | \(-0.137223\pi\) | |||||||
\(284\) | −269.948 | −0.0564031 | ||||||||
\(285\) | 1669.50 | + | 2144.74i | 0.346992 | + | 0.445767i | ||||
\(286\) | −2382.40 | −0.492567 | ||||||||
\(287\) | 1050.58 | + | 5958.15i | 0.216076 | + | 1.22543i | ||||
\(288\) | 143.227 | − | 120.182i | 0.0293046 | − | 0.0245895i | ||||
\(289\) | −4269.93 | + | 1554.13i | −0.869108 | + | 0.316329i | ||||
\(290\) | 1301.49 | + | 473.705i | 0.263539 | + | 0.0959203i | ||||
\(291\) | −2625.89 | − | 2203.39i | −0.528978 | − | 0.443865i | ||||
\(292\) | 105.627 | − | 182.952i | 0.0211691 | − | 0.0366660i | ||||
\(293\) | 888.642 | + | 1539.17i | 0.177184 | + | 0.306892i | 0.940915 | − | 0.338643i | \(-0.109968\pi\) |
−0.763731 | + | 0.645535i | \(0.776634\pi\) | |||||||
\(294\) | −599.978 | + | 3402.65i | −0.119019 | + | 0.674988i | ||||
\(295\) | 170.677 | − | 967.958i | 0.0336854 | − | 0.191040i | ||||
\(296\) | 2697.79 | + | 4672.71i | 0.529749 | + | 0.917552i | ||||
\(297\) | −2504.50 | + | 4337.92i | −0.489312 | + | 0.847514i | ||||
\(298\) | −788.741 | − | 661.833i | −0.153324 | − | 0.128654i | ||||
\(299\) | −1556.48 | − | 566.512i | −0.301049 | − | 0.109573i | ||||
\(300\) | 237.735 | − | 86.5286i | 0.0457522 | − | 0.0166524i | ||||
\(301\) | −1450.42 | + | 1217.04i | −0.277743 | + | 0.233054i | ||||
\(302\) | −237.064 | − | 1344.46i | −0.0451705 | − | 0.256175i | ||||
\(303\) | 42.1771 | 0.00799673 | ||||||||
\(304\) | 4229.86 | + | 2653.62i | 0.798024 | + | 0.500643i | ||||
\(305\) | 1502.36 | 0.282049 | ||||||||
\(306\) | 437.136 | + | 2479.12i | 0.0816648 | + | 0.463144i | ||||
\(307\) | 4825.96 | − | 4049.46i | 0.897173 | − | 0.752817i | −0.0724631 | − | 0.997371i | \(-0.523086\pi\) |
0.969636 | + | 0.244554i | \(0.0786415\pi\) | |||||||
\(308\) | −457.536 | + | 166.529i | −0.0846445 | + | 0.0308081i | ||||
\(309\) | −4984.73 | − | 1814.29i | −0.917706 | − | 0.334018i | ||||
\(310\) | −3256.87 | − | 2732.84i | −0.596703 | − | 0.500693i | ||||
\(311\) | −2076.83 | + | 3597.17i | −0.378669 | + | 0.655874i | −0.990869 | − | 0.134829i | \(-0.956952\pi\) |
0.612200 | + | 0.790703i | \(0.290285\pi\) | |||||||
\(312\) | 1285.21 | + | 2226.05i | 0.233207 | + | 0.403927i | ||||
\(313\) | 58.6545 | − | 332.646i | 0.0105922 | − | 0.0600712i | −0.979054 | − | 0.203603i | \(-0.934735\pi\) |
0.989646 | + | 0.143532i | \(0.0458459\pi\) | |||||||
\(314\) | 1317.27 | − | 7470.62i | 0.236745 | − | 1.34265i | ||||
\(315\) | −601.036 | − | 1041.03i | −0.107507 | − | 0.186207i | ||||
\(316\) | 279.769 | − | 484.575i | 0.0498046 | − | 0.0862641i | ||||
\(317\) | −4068.20 | − | 3413.63i | −0.720799 | − | 0.604822i | 0.206808 | − | 0.978382i | \(-0.433693\pi\) |
−0.927606 | + | 0.373560i | \(0.878137\pi\) | |||||||
\(318\) | 1771.97 | + | 644.945i | 0.312476 | + | 0.113732i | ||||
\(319\) | −4108.16 | + | 1495.25i | −0.721043 | + | 0.262438i | ||||
\(320\) | −2236.95 | + | 1877.02i | −0.390779 | + | 0.327902i | ||||
\(321\) | −894.010 | − | 5070.18i | −0.155448 | − | 0.881588i | ||||
\(322\) | 5825.40 | 1.00819 | ||||||||
\(323\) | 7117.91 | − | 3768.38i | 1.22616 | − | 0.649159i | ||||
\(324\) | 393.028 | 0.0673916 | ||||||||
\(325\) | 304.162 | + | 1724.99i | 0.0519135 | + | 0.294416i | ||||
\(326\) | −7821.70 | + | 6563.18i | −1.32885 | + | 1.11503i | ||||
\(327\) | −2993.21 | + | 1089.44i | −0.506193 | + | 0.184239i | ||||
\(328\) | −5619.10 | − | 2045.18i | −0.945923 | − | 0.344288i | ||||
\(329\) | 8868.38 | + | 7441.46i | 1.48611 | + | 1.24699i | ||||
\(330\) | −2129.68 | + | 3688.71i | −0.355257 | + | 0.615324i | ||||
\(331\) | −2795.49 | − | 4841.93i | −0.464212 | − | 0.804038i | 0.534954 | − | 0.844881i | \(-0.320329\pi\) |
−0.999166 | + | 0.0408431i | \(0.986996\pi\) | |||||||
\(332\) | −23.5124 | + | 133.345i | −0.00388678 | + | 0.0220430i | ||||
\(333\) | 380.111 | − | 2155.72i | 0.0625525 | − | 0.354753i | ||||
\(334\) | −2057.92 | − | 3564.42i | −0.337139 | − | 0.583942i | ||||
\(335\) | 421.393 | − | 729.875i | 0.0687259 | − | 0.119037i | ||||
\(336\) | −6543.63 | − | 5490.76i | −1.06245 | − | 0.891504i | ||||
\(337\) | 8251.69 | + | 3003.37i | 1.33382 | + | 0.485472i | 0.907862 | − | 0.419270i | \(-0.137714\pi\) |
0.425961 | + | 0.904742i | \(0.359936\pi\) | |||||||
\(338\) | 4806.08 | − | 1749.27i | 0.773422 | − | 0.281502i | ||||
\(339\) | 1791.45 | − | 1503.21i | 0.287016 | − | 0.240835i | ||||
\(340\) | 40.3490 | + | 228.830i | 0.00643597 | + | 0.0365002i | ||||
\(341\) | 13420.0 | 2.13118 | ||||||||
\(342\) | −658.858 | − | 2040.13i | −0.104172 | − | 0.322567i | ||||
\(343\) | 3164.11 | 0.498093 | ||||||||
\(344\) | −324.960 | − | 1842.94i | −0.0509322 | − | 0.288851i | ||||
\(345\) | −2268.51 | + | 1903.51i | −0.354007 | + | 0.297047i | ||||
\(346\) | −1464.10 | + | 532.888i | −0.227487 | + | 0.0827984i | ||||
\(347\) | 1363.50 | + | 496.273i | 0.210941 | + | 0.0767762i | 0.445329 | − | 0.895367i | \(-0.353087\pi\) |
−0.234389 | + | 0.972143i | \(0.575309\pi\) | |||||||
\(348\) | 188.109 | + | 157.842i | 0.0289762 | + | 0.0243139i | ||||
\(349\) | 3391.17 | − | 5873.67i | 0.520129 | − | 0.900890i | −0.479597 | − | 0.877489i | \(-0.659217\pi\) |
0.999726 | − | 0.0234010i | \(-0.00744943\pi\) | |||||||
\(350\) | −3080.16 | − | 5335.00i | −0.470404 | − | 0.814764i | ||||
\(351\) | −338.254 | + | 1918.33i | −0.0514378 | + | 0.291718i | ||||
\(352\) | 162.782 | − | 923.182i | 0.0246486 | − | 0.139789i | ||||
\(353\) | −5155.16 | − | 8928.99i | −0.777284 | − | 1.34630i | −0.933502 | − | 0.358573i | \(-0.883263\pi\) |
0.156218 | − | 0.987723i | \(-0.450070\pi\) | |||||||
\(354\) | −1499.41 | + | 2597.05i | −0.225120 | + | 0.389919i | ||||
\(355\) | −2559.71 | − | 2147.85i | −0.382691 | − | 0.321116i | ||||
\(356\) | 17.3256 | + | 6.30601i | 0.00257937 | + | 0.000938813i | ||||
\(357\) | −12946.9 | + | 4712.28i | −1.91939 | + | 0.698601i | ||||
\(358\) | 6081.84 | − | 5103.27i | 0.897864 | − | 0.753398i | ||||
\(359\) | 1862.89 | + | 10565.0i | 0.273870 | + | 1.55320i | 0.742528 | + | 0.669815i | \(0.233627\pi\) |
−0.468657 | + | 0.883380i | \(0.655262\pi\) | |||||||
\(360\) | 1188.10 | 0.173939 | ||||||||
\(361\) | −5563.40 | + | 4011.79i | −0.811109 | + | 0.584895i | ||||
\(362\) | 6404.63 | 0.929890 | ||||||||
\(363\) | −939.926 | − | 5330.59i | −0.135905 | − | 0.770753i | ||||
\(364\) | −145.049 | + | 121.711i | −0.0208864 | + | 0.0175257i | ||||
\(365\) | 2457.25 | − | 894.366i | 0.352379 | − | 0.128256i | ||||
\(366\) | −4307.30 | − | 1567.73i | −0.615153 | − | 0.223897i | ||||
\(367\) | 2814.42 | + | 2361.58i | 0.400304 | + | 0.335895i | 0.820611 | − | 0.571487i | \(-0.193633\pi\) |
−0.420307 | + | 0.907382i | \(0.638078\pi\) | |||||||
\(368\) | −2720.25 | + | 4711.62i | −0.385334 | + | 0.667419i | ||||
\(369\) | 1212.98 | + | 2100.94i | 0.171125 | + | 0.296398i | ||||
\(370\) | −603.768 | + | 3424.14i | −0.0848336 | + | 0.481115i | ||||
\(371\) | −463.333 | + | 2627.69i | −0.0648384 | + | 0.367717i | ||||
\(372\) | −376.892 | − | 652.796i | −0.0525294 | − | 0.0909836i | ||||
\(373\) | −1353.85 | + | 2344.94i | −0.187935 | + | 0.325513i | −0.944562 | − | 0.328334i | \(-0.893513\pi\) |
0.756626 | + | 0.653847i | \(0.226846\pi\) | |||||||
\(374\) | 9668.65 | + | 8112.96i | 1.33678 | + | 1.12169i | ||||
\(375\) | 6797.55 | + | 2474.11i | 0.936064 | + | 0.340699i | ||||
\(376\) | −10752.2 | + | 3913.48i | −1.47474 | + | 0.536762i | ||||
\(377\) | −1302.38 | + | 1092.83i | −0.177920 | + | 0.149293i | ||||
\(378\) | −1189.63 | − | 6746.72i | −0.161873 | − | 0.918026i | ||||
\(379\) | −12094.2 | −1.63915 | −0.819573 | − | 0.572974i | \(-0.805790\pi\) | ||||
−0.819573 | + | 0.572974i | \(0.805790\pi\) | |||||||
\(380\) | −60.8145 | − | 188.310i | −0.00820979 | − | 0.0254214i | ||||
\(381\) | 3449.95 | 0.463901 | ||||||||
\(382\) | 1130.86 | + | 6413.41i | 0.151465 | + | 0.859002i | ||||
\(383\) | −4039.50 | + | 3389.54i | −0.538926 | + | 0.452213i | −0.871170 | − | 0.490981i | \(-0.836639\pi\) |
0.332244 | + | 0.943193i | \(0.392194\pi\) | |||||||
\(384\) | 7471.12 | − | 2719.26i | 0.992862 | − | 0.361372i | ||||
\(385\) | −5663.46 | − | 2061.33i | −0.749705 | − | 0.272870i | ||||
\(386\) | −5758.09 | − | 4831.61i | −0.759273 | − | 0.637105i | ||||
\(387\) | −379.606 | + | 657.497i | −0.0498616 | + | 0.0863629i | ||||
\(388\) | 124.788 | + | 216.139i | 0.0163277 | + | 0.0282803i | ||||
\(389\) | −1156.94 | + | 6561.34i | −0.150795 | + | 0.855201i | 0.811735 | + | 0.584026i | \(0.198523\pi\) |
−0.962530 | + | 0.271175i | \(0.912588\pi\) | |||||||
\(390\) | −287.631 | + | 1631.24i | −0.0373456 | + | 0.211797i | ||||
\(391\) | 4387.58 | + | 7599.51i | 0.567492 | + | 0.982925i | ||||
\(392\) | 2416.06 | − | 4184.74i | 0.311300 | − | 0.539187i | ||||
\(393\) | 202.733 | + | 170.113i | 0.0260217 | + | 0.0218348i | ||||
\(394\) | −5623.37 | − | 2046.74i | −0.719038 | − | 0.261709i | ||||
\(395\) | 6508.38 | − | 2368.86i | 0.829043 | − | 0.301747i | ||||
\(396\) | −149.561 | + | 125.496i | −0.0189790 | + | 0.0159253i | ||||
\(397\) | 1129.71 | + | 6406.89i | 0.142817 | + | 0.809956i | 0.969094 | + | 0.246692i | \(0.0793435\pi\) |
−0.826277 | + | 0.563264i | \(0.809545\pi\) | |||||||
\(398\) | 14193.8 | 1.78761 | ||||||||
\(399\) | 10370.0 | − | 5490.14i | 1.30113 | − | 0.688849i | ||||
\(400\) | 5753.30 | 0.719163 | ||||||||
\(401\) | −593.766 | − | 3367.41i | −0.0739432 | − | 0.419353i | −0.999199 | − | 0.0400098i | \(-0.987261\pi\) |
0.925256 | − | 0.379343i | \(-0.123850\pi\) | |||||||
\(402\) | −1969.77 | + | 1652.83i | −0.244386 | + | 0.205064i | ||||
\(403\) | 4904.11 | − | 1784.95i | 0.606181 | − | 0.220632i | ||||
\(404\) | −2.88563 | − | 1.05028i | −0.000355360 | − | 0.000129341i | ||||
\(405\) | 3726.78 | + | 3127.14i | 0.457248 | + | 0.383676i | ||||
\(406\) | 2989.66 | − | 5178.24i | 0.365454 | − | 0.632985i | ||||
\(407\) | −5487.51 | − | 9504.65i | −0.668319 | − | 1.15756i | ||||
\(408\) | 2364.67 | − | 13410.7i | 0.286933 | − | 1.62728i | ||||
\(409\) | 230.257 | − | 1305.85i | 0.0278373 | − | 0.157873i | −0.967720 | − | 0.252026i | \(-0.918903\pi\) |
0.995558 | + | 0.0941529i | \(0.0300142\pi\) | |||||||
\(410\) | −1926.70 | − | 3337.14i | −0.232080 | − | 0.401974i | ||||
\(411\) | −6287.64 | + | 10890.5i | −0.754614 | + | 1.30703i | ||||
\(412\) | 295.861 | + | 248.257i | 0.0353787 | + | 0.0296863i | ||||
\(413\) | −3987.37 | − | 1451.28i | −0.475074 | − | 0.172913i | ||||
\(414\) | 2195.01 | − | 798.917i | 0.260576 | − | 0.0948421i | ||||
\(415\) | −1283.92 | + | 1077.34i | −0.151868 | + | 0.127432i | ||||
\(416\) | −63.3035 | − | 359.012i | −0.00746084 | − | 0.0423126i | ||||
\(417\) | −13888.8 | −1.63102 | ||||||||
\(418\) | −9105.46 | − | 5712.33i | −1.06546 | − | 0.668420i | ||||
\(419\) | −2455.32 | −0.286277 | −0.143139 | − | 0.989703i | \(-0.545719\pi\) | ||||
−0.143139 | + | 0.989703i | \(0.545719\pi\) | |||||||
\(420\) | 58.7842 | + | 333.382i | 0.00682947 | + | 0.0387318i | ||||
\(421\) | −715.441 | + | 600.326i | −0.0828230 | + | 0.0694967i | −0.683259 | − | 0.730176i | \(-0.739438\pi\) |
0.600436 | + | 0.799673i | \(0.294994\pi\) | |||||||
\(422\) | −9086.58 | + | 3307.24i | −1.04817 | + | 0.381503i | ||||
\(423\) | 4362.15 | + | 1587.69i | 0.501406 | + | 0.182497i | ||||
\(424\) | −2020.22 | − | 1695.16i | −0.231392 | − | 0.194161i | ||||
\(425\) | 4639.83 | − | 8036.42i | 0.529564 | − | 0.917233i | ||||
\(426\) | 5097.43 | + | 8829.00i | 0.579745 | + | 1.00415i | ||||
\(427\) | 1126.27 | − | 6387.37i | 0.127644 | − | 0.723903i | ||||
\(428\) | −65.0910 | + | 369.149i | −0.00735115 | + | 0.0416904i | ||||
\(429\) | −2614.22 | − | 4527.96i | −0.294209 | − | 0.509585i | ||||
\(430\) | 602.965 | − | 1044.37i | 0.0676223 | − | 0.117125i | ||||
\(431\) | 807.361 | + | 677.456i | 0.0902302 | + | 0.0757121i | 0.686787 | − | 0.726859i | \(-0.259021\pi\) |
−0.596557 | + | 0.802571i | \(0.703465\pi\) | |||||||
\(432\) | 6012.30 | + | 2188.30i | 0.669599 | + | 0.243714i | ||||
\(433\) | 8600.27 | − | 3130.24i | 0.954509 | − | 0.347413i | 0.182630 | − | 0.983182i | \(-0.441539\pi\) |
0.771879 | + | 0.635769i | \(0.219317\pi\) | |||||||
\(434\) | −14060.4 | + | 11798.0i | −1.55511 | + | 1.30489i | ||||
\(435\) | 527.817 | + | 2993.40i | 0.0581767 | + | 0.329937i | ||||
\(436\) | 231.916 | 0.0254742 | ||||||||
\(437\) | −4590.48 | − | 5897.20i | −0.502499 | − | 0.645541i | ||||
\(438\) | −7978.26 | −0.870356 | ||||||||
\(439\) | 281.660 | + | 1597.38i | 0.0306217 | + | 0.173664i | 0.996283 | − | 0.0861398i | \(-0.0274532\pi\) |
−0.965661 | + | 0.259804i | \(0.916342\pi\) | |||||||
\(440\) | 4563.21 | − | 3828.99i | 0.494415 | − | 0.414864i | ||||
\(441\) | −1842.16 | + | 670.491i | −0.198916 | + | 0.0723994i | ||||
\(442\) | 4612.32 | + | 1678.75i | 0.496348 | + | 0.180656i | ||||
\(443\) | −7978.73 | − | 6694.95i | −0.855713 | − | 0.718028i | 0.105327 | − | 0.994438i | \(-0.466411\pi\) |
−0.961040 | + | 0.276409i | \(0.910855\pi\) | |||||||
\(444\) | −308.227 | + | 533.865i | −0.0329455 | + | 0.0570633i | ||||
\(445\) | 114.111 | + | 197.647i | 0.0121560 | + | 0.0210547i | ||||
\(446\) | 1010.24 | − | 5729.38i | 0.107257 | − | 0.608283i | ||||
\(447\) | 392.381 | − | 2225.30i | 0.0415190 | − | 0.235466i | ||||
\(448\) | 6303.30 | + | 10917.6i | 0.664738 | + | 1.15136i | ||||
\(449\) | 6677.63 | − | 11566.0i | 0.701864 | − | 1.21566i | −0.265947 | − | 0.963988i | \(-0.585685\pi\) |
0.967811 | − | 0.251677i | \(-0.0809820\pi\) | |||||||
\(450\) | −1892.26 | − | 1587.80i | −0.198227 | − | 0.166332i | ||||
\(451\) | 11429.7 | + | 4160.07i | 1.19335 | + | 0.434346i | ||||
\(452\) | −159.998 | + | 58.2347i | −0.0166498 | + | 0.00606002i | ||||
\(453\) | 2295.12 | − | 1925.84i | 0.238045 | − | 0.199743i | ||||
\(454\) | −600.366 | − | 3404.85i | −0.0620630 | − | 0.351977i | ||||
\(455\) | −2343.79 | −0.241491 | ||||||||
\(456\) | −425.415 | + | 11589.5i | −0.0436884 | + | 1.19019i | ||||
\(457\) | −17571.0 | −1.79855 | −0.899275 | − | 0.437384i | \(-0.855905\pi\) | ||||
−0.899275 | + | 0.437384i | \(0.855905\pi\) | |||||||
\(458\) | 870.546 | + | 4937.11i | 0.0888165 | + | 0.503703i | ||||
\(459\) | 7905.40 | − | 6633.42i | 0.803905 | − | 0.674557i | ||||
\(460\) | 202.606 | − | 73.7424i | 0.0205359 | − | 0.00747447i | ||||
\(461\) | 9777.28 | + | 3558.64i | 0.987794 | + | 0.359528i | 0.784866 | − | 0.619666i | \(-0.212732\pi\) |
0.202928 | + | 0.979194i | \(0.434954\pi\) | |||||||
\(462\) | 14086.2 | + | 11819.7i | 1.41851 | + | 1.19027i | ||||
\(463\) | −2012.85 | + | 3486.36i | −0.202041 | + | 0.349946i | −0.949186 | − | 0.314716i | \(-0.898091\pi\) |
0.747145 | + | 0.664661i | \(0.231424\pi\) | |||||||
\(464\) | 2792.13 | + | 4836.11i | 0.279356 | + | 0.483859i | ||||
\(465\) | 1620.22 | − | 9188.72i | 0.161583 | − | 0.916380i | ||||
\(466\) | −3275.46 | + | 18576.0i | −0.325607 | + | 1.84661i | ||||
\(467\) | 3336.14 | + | 5778.36i | 0.330574 | + | 0.572571i | 0.982624 | − | 0.185605i | \(-0.0594244\pi\) |
−0.652051 | + | 0.758175i | \(0.726091\pi\) | |||||||
\(468\) | −37.9625 | + | 65.7530i | −0.00374961 | + | 0.00649452i | ||||
\(469\) | −2787.20 | − | 2338.74i | −0.274415 | − | 0.230262i | ||||
\(470\) | −6928.83 | − | 2521.89i | −0.680006 | − | 0.247502i | ||||
\(471\) | 15644.0 | − | 5693.95i | 1.53044 | − | 0.557035i | ||||
\(472\) | 3212.74 | − | 2695.81i | 0.313302 | − | 0.262891i | ||||
\(473\) | 660.995 | + | 3748.69i | 0.0642549 | + | 0.364408i | ||||
\(474\) | −21131.5 | −2.04769 | ||||||||
\(475\) | −2973.55 | + | 7322.15i | −0.287233 | + | 0.707291i | ||||
\(476\) | 1003.13 | 0.0965935 | ||||||||
\(477\) | 185.788 | + | 1053.65i | 0.0178336 | + | 0.101139i | ||||
\(478\) | 8281.92 | − | 6949.35i | 0.792481 | − | 0.664971i | ||||
\(479\) | −5473.84 | + | 1992.31i | −0.522142 | + | 0.190044i | −0.589626 | − | 0.807676i | \(-0.700725\pi\) |
0.0674844 | + | 0.997720i | \(0.478503\pi\) | |||||||
\(480\) | −612.453 | − | 222.915i | −0.0582386 | − | 0.0211971i | ||||
\(481\) | −3269.50 | − | 2743.44i | −0.309930 | − | 0.260062i | ||||
\(482\) | −3736.15 | + | 6471.20i | −0.353064 | + | 0.611525i | ||||
\(483\) | 6392.24 | + | 11071.7i | 0.602188 | + | 1.04302i | ||||
\(484\) | −68.4341 | + | 388.109i | −0.00642694 | + | 0.0364490i | ||||
\(485\) | −536.449 | + | 3042.35i | −0.0502245 | + | 0.284838i | ||||
\(486\) | −3482.35 | − | 6031.60i | −0.325026 | − | 0.562961i | ||||
\(487\) | −1435.60 | + | 2486.53i | −0.133579 | + | 0.231366i | −0.925054 | − | 0.379836i | \(-0.875980\pi\) |
0.791475 | + | 0.611202i | \(0.209314\pi\) | |||||||
\(488\) | 4910.73 | + | 4120.59i | 0.455529 | + | 0.382234i | ||||
\(489\) | −21056.7 | − | 7664.00i | −1.94727 | − | 0.708749i | ||||
\(490\) | 2926.08 | − | 1065.01i | 0.269769 | − | 0.0981879i | ||||
\(491\) | −8671.93 | + | 7276.61i | −0.797064 | + | 0.668816i | −0.947483 | − | 0.319806i | \(-0.896382\pi\) |
0.150419 | + | 0.988622i | \(0.451938\pi\) | |||||||
\(492\) | −118.635 | − | 672.814i | −0.0108709 | − | 0.0616520i | ||||
\(493\) | 9007.01 | 0.822830 | ||||||||
\(494\) | −4087.22 | − | 876.388i | −0.372252 | − | 0.0798190i | ||||
\(495\) | −2416.68 | −0.219438 | ||||||||
\(496\) | −2976.64 | − | 16881.4i | −0.269466 | − | 1.52822i | ||||
\(497\) | −11050.6 | + | 9272.57i | −0.997360 | + | 0.836885i | ||||
\(498\) | 4805.22 | − | 1748.96i | 0.432384 | − | 0.157375i | ||||
\(499\) | 702.905 | + | 255.837i | 0.0630588 | + | 0.0229515i | 0.373357 | − | 0.927688i | \(-0.378207\pi\) |
−0.310298 | + | 0.950639i | \(0.600429\pi\) | |||||||
\(500\) | −403.459 | − | 338.542i | −0.0360864 | − | 0.0302801i | ||||
\(501\) | 4516.33 | − | 7822.51i | 0.402744 | − | 0.697573i | ||||
\(502\) | −4429.26 | − | 7671.71i | −0.393800 | − | 0.682082i | ||||
\(503\) | 571.219 | − | 3239.54i | 0.0506350 | − | 0.287165i | −0.948967 | − | 0.315375i | \(-0.897870\pi\) |
0.999602 | + | 0.0282100i | \(0.00898071\pi\) | |||||||
\(504\) | 890.672 | − | 5051.25i | 0.0787177 | − | 0.446430i | ||||
\(505\) | −19.0056 | − | 32.9187i | −0.00167473 | − | 0.00290072i | ||||
\(506\) | 5855.78 | − | 10142.5i | 0.514469 | − | 0.891086i | ||||
\(507\) | 8598.38 | + | 7214.90i | 0.753190 | + | 0.632001i | ||||
\(508\) | −236.035 | − | 85.9099i | −0.0206149 | − | 0.00750322i | ||||
\(509\) | −1780.26 | + | 647.963i | −0.155027 | + | 0.0564253i | −0.418368 | − | 0.908278i | \(-0.637398\pi\) |
0.263341 | + | 0.964703i | \(0.415176\pi\) | |||||||
\(510\) | 6722.29 | − | 5640.67i | 0.583663 | − | 0.489751i | ||||
\(511\) | −1960.33 | − | 11117.6i | −0.169707 | − | 0.962454i | ||||
\(512\) | −12390.2 | −1.06948 | ||||||||
\(513\) | −5892.43 | + | 6520.77i | −0.507129 | + | 0.561207i | ||||
\(514\) | 19296.4 | 1.65589 | ||||||||
\(515\) | 830.159 | + | 4708.06i | 0.0710314 | + | 0.402839i | ||||
\(516\) | 163.786 | − | 137.433i | 0.0139734 | − | 0.0117251i | ||||
\(517\) | 21870.8 | − | 7960.33i | 1.86050 | − | 0.677166i | ||||
\(518\) | 14105.3 | + | 5133.90i | 1.19643 | + | 0.435465i | ||||
\(519\) | −2619.36 | − | 2197.91i | −0.221536 | − | 0.185891i | ||||
\(520\) | 1158.27 | − | 2006.18i | 0.0976796 | − | 0.169186i | ||||
\(521\) | −6557.36 | − | 11357.7i | −0.551407 | − | 0.955065i | −0.998173 | − | 0.0604141i | \(-0.980758\pi\) |
0.446767 | − | 0.894651i | \(-0.352575\pi\) | |||||||
\(522\) | 416.338 | − | 2361.17i | 0.0349092 | − | 0.197980i | ||||
\(523\) | −892.891 | + | 5063.83i | −0.0746527 | + | 0.423377i | 0.924461 | + | 0.381277i | \(0.124516\pi\) |
−0.999113 | + | 0.0420993i | \(0.986595\pi\) | |||||||
\(524\) | −9.63427 | − | 16.6870i | −0.000803197 | − | 0.00139118i | ||||
\(525\) | 6759.75 | − | 11708.2i | 0.561942 | − | 0.973312i | ||||
\(526\) | −295.265 | − | 247.757i | −0.0244756 | − | 0.0205375i | ||||
\(527\) | −25981.1 | − | 9456.34i | −2.14754 | − | 0.781641i | ||||
\(528\) | −16137.6 | + | 5873.61i | −1.33011 | + | 0.484122i | ||||
\(529\) | −3082.95 | + | 2586.90i | −0.253386 | + | 0.212616i | ||||
\(530\) | −295.105 | − | 1673.62i | −0.0241859 | − | 0.137165i | ||||
\(531\) | −1701.47 | −0.139054 | ||||||||
\(532\) | −846.202 | + | 117.387i | −0.0689615 | + | 0.00956647i | ||||
\(533\) | 4730.10 | 0.384397 | ||||||||
\(534\) | −120.913 | − | 685.733i | −0.00979855 | − | 0.0555704i | ||||
\(535\) | −3554.36 | + | 2982.46i | −0.287230 | + | 0.241015i | ||||
\(536\) | 3379.25 | − | 1229.95i | 0.272316 | − | 0.0991149i | ||||
\(537\) | 16372.8 | + | 5959.23i | 1.31572 | + | 0.478882i | ||||
\(538\) | 7218.33 | + | 6056.90i | 0.578447 | + | 0.485375i | ||||
\(539\) | −4914.46 | + | 8512.10i | −0.392729 | + | 0.680226i | ||||
\(540\) | −126.780 | − | 219.589i | −0.0101032 | − | 0.0174993i | ||||
\(541\) | −3801.70 | + | 21560.5i | −0.302122 | + | 1.71342i | 0.334632 | + | 0.942349i | \(0.391388\pi\) |
−0.636753 | + | 0.771068i | \(0.719723\pi\) | |||||||
\(542\) | 1527.84 | − | 8664.82i | 0.121082 | − | 0.686689i | ||||
\(543\) | 7027.83 | + | 12172.6i | 0.555420 | + | 0.962016i | ||||
\(544\) | −965.662 | + | 1672.57i | −0.0761073 | + | 0.131822i | ||||
\(545\) | 2199.08 | + | 1845.25i | 0.172841 | + | 0.145031i | ||||
\(546\) | 6719.67 | + | 2445.76i | 0.526695 | + | 0.191701i | ||||
\(547\) | 16584.9 | − | 6036.43i | 1.29638 | − | 0.471845i | 0.400565 | − | 0.916268i | \(-0.368814\pi\) |
0.895817 | + | 0.444424i | \(0.146591\pi\) | |||||||
\(548\) | 701.375 | − | 588.523i | 0.0546738 | − | 0.0458768i | ||||
\(549\) | −451.612 | − | 2561.22i | −0.0351080 | − | 0.199108i | ||||
\(550\) | −12384.9 | −0.960171 | ||||||||
\(551\) | −7597.94 | + | 1054.00i | −0.587447 | + | 0.0814918i | ||||
\(552\) | −12635.8 | −0.974306 | ||||||||
\(553\) | −5192.22 | − | 29446.5i | −0.399269 | − | 2.26437i | ||||
\(554\) | 3449.57 | − | 2894.53i | 0.264546 | − | 0.221980i | ||||
\(555\) | −7170.39 | + | 2609.81i | −0.548408 | + | 0.199604i | ||||
\(556\) | 950.230 | + | 345.855i | 0.0724797 | + | 0.0263805i | ||||
\(557\) | 5123.81 | + | 4299.39i | 0.389772 | + | 0.327057i | 0.816524 | − | 0.577311i | \(-0.195898\pi\) |
−0.426753 | + | 0.904368i | \(0.640342\pi\) | |||||||
\(558\) | −3679.90 | + | 6373.78i | −0.279181 | + | 0.483555i | ||||
\(559\) | 740.150 | + | 1281.98i | 0.0560018 | + | 0.0969980i | ||||
\(560\) | −1336.81 | + | 7581.43i | −0.100876 | + | 0.572097i | ||||
\(561\) | −4809.93 | + | 27278.5i | −0.361988 | + | 2.05294i | ||||
\(562\) | 1638.99 | + | 2838.82i | 0.123019 | + | 0.213075i | ||||
\(563\) | −3043.88 | + | 5272.16i | −0.227859 | + | 0.394663i | −0.957173 | − | 0.289516i | \(-0.906506\pi\) |
0.729315 | + | 0.684178i | \(0.239839\pi\) | |||||||
\(564\) | −1001.45 | − | 840.314i | −0.0747669 | − | 0.0627369i | ||||
\(565\) | −1980.49 | − | 720.839i | −0.147469 | − | 0.0536742i | ||||
\(566\) | 6243.04 | − | 2272.28i | 0.463630 | − | 0.168748i | ||||
\(567\) | 16089.0 | − | 13500.3i | 1.19167 | − | 0.999928i | ||||
\(568\) | −2475.85 | − | 14041.2i | −0.182895 | − | 1.03725i | ||||
\(569\) | 15509.6 | 1.14270 | 0.571350 | − | 0.820706i | \(-0.306420\pi\) | ||||
0.571350 | + | 0.820706i | \(0.306420\pi\) | |||||||
\(570\) | −5010.58 | + | 5544.88i | −0.368193 | + | 0.407456i | ||||
\(571\) | −5985.24 | −0.438660 | −0.219330 | − | 0.975651i | \(-0.570387\pi\) | ||||
−0.219330 | + | 0.975651i | \(0.570387\pi\) | |||||||
\(572\) | 66.1029 | + | 374.888i | 0.00483199 | + | 0.0274036i | ||||
\(573\) | −10948.4 | + | 9186.76i | −0.798209 | + | 0.669777i | ||||
\(574\) | −15632.4 | + | 5689.72i | −1.13673 | + | 0.413736i | ||||
\(575\) | −8091.35 | − | 2945.01i | −0.586840 | − | 0.213592i | ||||
\(576\) | 3872.36 | + | 3249.29i | 0.280119 | + | 0.235047i | ||||
\(577\) | −6754.38 | + | 11698.9i | −0.487328 | + | 0.844077i | −0.999894 | − | 0.0145707i | \(-0.995362\pi\) |
0.512566 | + | 0.858648i | \(0.328695\pi\) | |||||||
\(578\) | −6247.18 | − | 10820.4i | −0.449565 | − | 0.778669i | ||||
\(579\) | 2864.52 | − | 16245.5i | 0.205605 | − | 1.16605i | ||||
\(580\) | 38.4292 | − | 217.943i | 0.00275118 | − | 0.0156027i | ||||
\(581\) | 3617.84 | + | 6266.28i | 0.258336 | + | 0.447451i | ||||
\(582\) | 4712.73 | − | 8162.69i | 0.335651 | − | 0.581365i | ||||
\(583\) | 4109.28 | + | 3448.10i | 0.291919 | + | 0.244949i | ||||
\(584\) | 10485.0 | + | 3816.21i | 0.742929 | + | 0.270404i | ||||
\(585\) | −883.136 | + | 321.435i | −0.0624157 | + | 0.0227175i | ||||
\(586\) | −3743.60 | + | 3141.26i | −0.263903 | + | 0.221441i | ||||
\(587\) | 308.492 | + | 1749.54i | 0.0216914 | + | 0.123018i | 0.993731 | − | 0.111800i | \(-0.0356617\pi\) |
−0.972039 | + | 0.234818i | \(0.924551\pi\) | |||||||
\(588\) | 552.078 | 0.0387200 | ||||||||
\(589\) | 23023.2 | + | 4936.67i | 1.61062 | + | 0.345351i | ||||
\(590\) | 2702.62 | 0.188585 | ||||||||
\(591\) | −2280.54 | − | 12933.6i | −0.158729 | − | 0.900198i | ||||
\(592\) | −10739.0 | + | 9011.09i | −0.745558 | + | 0.625597i | ||||
\(593\) | −8376.07 | + | 3048.64i | −0.580040 | + | 0.211117i | −0.615343 | − | 0.788259i | \(-0.710983\pi\) |
0.0353030 | + | 0.999377i | \(0.488760\pi\) | |||||||
\(594\) | −12942.4 | − | 4710.66i | −0.893998 | − | 0.325389i | ||||
\(595\) | 9511.94 | + | 7981.46i | 0.655381 | + | 0.549930i | ||||
\(596\) | −82.2595 | + | 142.478i | −0.00565349 | + | 0.00979213i | ||||
\(597\) | 15574.9 | + | 26976.5i | 1.06773 | + | 1.84937i | ||||
\(598\) | 790.874 | − | 4485.27i | 0.0540823 | − | 0.306716i | ||||
\(599\) | 3509.08 | − | 19901.0i | 0.239361 | − | 1.35748i | −0.593872 | − | 0.804559i | \(-0.702402\pi\) |
0.833233 | − | 0.552922i | \(-0.186487\pi\) | |||||||
\(600\) | 6681.15 | + | 11572.1i | 0.454595 | + | 0.787382i | ||||
\(601\) | −3014.26 | + | 5220.85i | −0.204583 | + | 0.354347i | −0.950000 | − | 0.312251i | \(-0.898917\pi\) |
0.745417 | + | 0.666598i | \(0.232250\pi\) | |||||||
\(602\) | −3988.16 | − | 3346.46i | −0.270009 | − | 0.226564i | ||||
\(603\) | −1370.96 | − | 498.987i | −0.0925864 | − | 0.0336987i | ||||
\(604\) | −204.982 | + | 74.6074i | −0.0138090 | + | 0.00502605i | ||||
\(605\) | −3736.91 | + | 3135.64i | −0.251119 | + | 0.210714i | ||||
\(606\) | 20.1385 | + | 114.211i | 0.00134995 | + | 0.00765594i | ||||
\(607\) | −3058.64 | −0.204524 | −0.102262 | − | 0.994757i | \(-0.532608\pi\) | ||||
−0.102262 | + | 0.994757i | \(0.532608\pi\) | |||||||
\(608\) | 618.868 | − | 1523.92i | 0.0412803 | − | 0.101650i | ||||
\(609\) | 13122.3 | 0.873138 | ||||||||
\(610\) | 717.339 | + | 4068.23i | 0.0476135 | + | 0.270029i | ||||
\(611\) | 6933.55 | − | 5817.94i | 0.459086 | − | 0.385219i | ||||
\(612\) | 377.979 | − | 137.573i | 0.0249655 | − | 0.00908671i | ||||
\(613\) | −17448.7 | − | 6350.79i | −1.14966 | − | 0.418444i | −0.304270 | − | 0.952586i | \(-0.598413\pi\) |
−0.845395 | + | 0.534142i | \(0.820635\pi\) | |||||||
\(614\) | 13269.8 | + | 11134.6i | 0.872189 | + | 0.731853i | ||||
\(615\) | 4228.34 | − | 7323.70i | 0.277241 | − | 0.480196i | ||||
\(616\) | −12858.3 | − | 22271.2i | −0.841030 | − | 1.45671i | ||||
\(617\) | 4417.45 | − | 25052.6i | 0.288233 | − | 1.63465i | −0.405271 | − | 0.914197i | \(-0.632823\pi\) |
0.693504 | − | 0.720453i | \(-0.256066\pi\) | |||||||
\(618\) | 2532.83 | − | 14364.4i | 0.164863 | − | 0.934983i | ||||
\(619\) | −4466.62 | − | 7736.41i | −0.290030 | − | 0.502346i | 0.683787 | − | 0.729682i | \(-0.260332\pi\) |
−0.973816 | + | 0.227336i | \(0.926999\pi\) | |||||||
\(620\) | −339.666 | + | 588.319i | −0.0220021 | + | 0.0381088i | ||||
\(621\) | −7335.46 | − | 6155.18i | −0.474012 | − | 0.397744i | ||||
\(622\) | −10732.4 | − | 3906.26i | −0.691847 | − | 0.251812i | ||||
\(623\) | 925.851 | − | 336.982i | 0.0595400 | − | 0.0216708i | ||||
\(624\) | −5115.99 | + | 4292.83i | −0.328211 | + | 0.275402i | ||||
\(625\) | 939.203 | + | 5326.49i | 0.0601090 | + | 0.340895i | ||||
\(626\) | 928.776 | 0.0592993 | ||||||||
\(627\) | 865.329 | − | 23573.9i | 0.0551163 | − | 1.50151i | ||||
\(628\) | −1212.11 | −0.0770196 | ||||||||
\(629\) | 3926.41 | + | 22267.8i | 0.248897 | + | 1.41156i | ||||
\(630\) | 2532.00 | − | 2124.60i | 0.160123 | − | 0.134359i | ||||
\(631\) | 2045.40 | − | 744.466i | 0.129043 | − | 0.0469679i | −0.276691 | − | 0.960959i | \(-0.589238\pi\) |
0.405735 | + | 0.913991i | \(0.367016\pi\) | |||||||
\(632\) | 27770.9 | + | 10107.8i | 1.74789 | + | 0.636180i | ||||
\(633\) | −16256.4 | − | 13640.8i | −1.02075 | − | 0.856512i | ||||
\(634\) | 7301.27 | − | 12646.2i | 0.457367 | − | 0.792182i | ||||
\(635\) | −1554.60 | − | 2692.64i | −0.0971533 | − | 0.168274i | ||||
\(636\) | 52.3211 | − | 296.728i | 0.00326205 | − | 0.0185000i | ||||
\(637\) | −663.741 | + | 3764.26i | −0.0412847 | + | 0.234137i | ||||
\(638\) | −6010.50 | − | 10410.5i | −0.372975 | − | 0.646012i | ||||
\(639\) | −2892.19 | + | 5009.42i | −0.179050 | + | 0.310124i | ||||
\(640\) | −5488.95 | − | 4605.77i | −0.339015 | − | 0.284467i | ||||
\(641\) | 15117.7 | + | 5502.41i | 0.931536 | + | 0.339051i | 0.762818 | − | 0.646613i | \(-0.223815\pi\) |
0.168718 | + | 0.985664i | \(0.446037\pi\) | |||||||
\(642\) | 13302.6 | − | 4841.76i | 0.817777 | − | 0.297646i | ||||
\(643\) | −11391.2 | + | 9558.35i | −0.698639 | + | 0.586228i | −0.921386 | − | 0.388648i | \(-0.872942\pi\) |
0.222747 | + | 0.974876i | \(0.428498\pi\) | |||||||
\(644\) | −161.634 | − | 916.670i | −0.00989015 | − | 0.0560898i | ||||
\(645\) | 2646.55 | 0.161562 | ||||||||
\(646\) | 13603.0 | + | 17475.2i | 0.828486 | + | 1.06432i | ||||
\(647\) | −17908.3 | −1.08817 | −0.544086 | − | 0.839029i | \(-0.683124\pi\) | ||||
−0.544086 | + | 0.839029i | \(0.683124\pi\) | |||||||
\(648\) | 3604.68 | + | 20443.2i | 0.218527 | + | 1.23933i | ||||
\(649\) | −6534.97 | + | 5483.49i | −0.395254 | + | 0.331658i | ||||
\(650\) | −4525.85 | + | 1647.28i | −0.273105 | + | 0.0994022i | ||||
\(651\) | −37851.7 | − | 13776.9i | −2.27884 | − | 0.829430i | ||||
\(652\) | 1249.79 | + | 1048.70i | 0.0750698 | + | 0.0629910i | ||||
\(653\) | −7139.51 | + | 12366.0i | −0.427857 | + | 0.741070i | −0.996682 | − | 0.0813882i | \(-0.974065\pi\) |
0.568825 | + | 0.822458i | \(0.307398\pi\) | |||||||
\(654\) | −4379.26 | − | 7585.11i | −0.261839 | − | 0.453519i | ||||
\(655\) | 41.4167 | − | 234.886i | 0.00247067 | − | 0.0140118i | ||||
\(656\) | 2697.88 | − | 15300.4i | 0.160571 | − | 0.910644i | ||||
\(657\) | −2263.36 | − | 3920.25i | −0.134402 | − | 0.232791i | ||||
\(658\) | −15916.2 | + | 27567.7i | −0.942977 | + | 1.63328i | ||||
\(659\) | 14665.1 | + | 12305.5i | 0.866876 | + | 0.727395i | 0.963438 | − | 0.267932i | \(-0.0863402\pi\) |
−0.0965620 | + | 0.995327i | \(0.530785\pi\) | |||||||
\(660\) | 639.537 | + | 232.772i | 0.0377181 | + | 0.0137283i | ||||
\(661\) | 2596.82 | − | 945.165i | 0.152806 | − | 0.0556167i | −0.264485 | − | 0.964390i | \(-0.585202\pi\) |
0.417291 | + | 0.908773i | \(0.362980\pi\) | |||||||
\(662\) | 11776.6 | − | 9881.77i | 0.691408 | − | 0.580160i | ||||
\(663\) | 1870.51 | + | 10608.2i | 0.109570 | + | 0.621401i | ||||
\(664\) | −7151.56 | −0.417973 | ||||||||
\(665\) | −8957.88 | − | 5619.75i | −0.522363 | − | 0.327706i | ||||
\(666\) | 6018.94 | 0.350194 | ||||||||
\(667\) | −1451.29 | − | 8230.67i | −0.0842491 | − | 0.477800i | ||||
\(668\) | −503.788 | + | 422.729i | −0.0291799 | + | 0.0244848i | ||||
\(669\) | 11997.7 | − | 4366.82i | 0.693362 | − | 0.252363i | ||||
\(670\) | 2177.62 | + | 792.590i | 0.125566 | + | 0.0457021i | ||||
\(671\) | −9988.81 | − | 8381.61i | −0.574685 | − | 0.482218i | ||||
\(672\) | −1406.87 | + | 2436.77i | −0.0807605 | + | 0.139881i | ||||
\(673\) | 10446.1 | + | 18093.1i | 0.598315 | + | 1.03631i | 0.993070 | + | 0.117526i | \(0.0374964\pi\) |
−0.394754 | + | 0.918787i | \(0.629170\pi\) | |||||||
\(674\) | −4192.83 | + | 23778.7i | −0.239617 | + | 1.35893i | ||||
\(675\) | −1758.41 | + | 9972.46i | −0.100269 | + | 0.568652i | ||||
\(676\) | −408.612 | − | 707.737i | −0.0232483 | − | 0.0402672i | ||||
\(677\) | 12848.3 | − | 22253.9i | 0.729395 | − | 1.26335i | −0.227745 | − | 0.973721i | \(-0.573135\pi\) |
0.957139 | − | 0.289628i | \(-0.0935315\pi\) | |||||||
\(678\) | 4925.89 | + | 4133.31i | 0.279023 | + | 0.234128i | ||||
\(679\) | 12532.6 | + | 4561.48i | 0.708330 | + | 0.257811i | ||||
\(680\) | −11532.5 | + | 4197.47i | −0.650367 | + | 0.236714i | ||||
\(681\) | 5812.42 | − | 4877.20i | 0.327067 | − | 0.274442i | ||||
\(682\) | 6407.69 | + | 36339.8i | 0.359770 | + | 2.04036i | ||||
\(683\) | 26695.9 | 1.49559 | 0.747796 | − | 0.663929i | \(-0.231112\pi\) | ||||
0.747796 | + | 0.663929i | \(0.231112\pi\) | |||||||
\(684\) | −302.749 | + | 160.282i | −0.0169238 | + | 0.00895987i | ||||
\(685\) | 11333.2 | 0.632146 | ||||||||
\(686\) | 1510.78 | + | 8568.05i | 0.0840843 | + | 0.476866i | ||||
\(687\) | −8428.16 | + | 7072.06i | −0.468056 | + | 0.392745i | ||||
\(688\) | 4568.96 | − | 1662.97i | 0.253183 | − | 0.0921512i | ||||
\(689\) | 1960.29 | + | 713.486i | 0.108390 | + | 0.0394509i | ||||
\(690\) | −6237.64 | − | 5234.00i | −0.344149 | − | 0.288775i | ||||
\(691\) | 16838.1 | − | 29164.4i | 0.926991 | − | 1.60560i | 0.138664 | − | 0.990340i | \(-0.455719\pi\) |
0.788327 | − | 0.615256i | \(-0.210947\pi\) | |||||||
\(692\) | 124.477 | + | 215.601i | 0.00683803 | + | 0.0118438i | ||||
\(693\) | −1811.70 | + | 10274.7i | −0.0993084 | + | 0.563206i | ||||
\(694\) | −692.818 | + | 3929.16i | −0.0378948 | + | 0.214912i | ||||
\(695\) | 6258.49 | + | 10840.0i | 0.341580 | + | 0.591634i | ||||
\(696\) | −6484.85 | + | 11232.1i | −0.353172 | + | 0.611711i | ||||
\(697\) | −19196.5 | − | 16107.8i | −1.04321 | − | 0.875359i | ||||
\(698\) | 17524.4 | + | 6378.38i | 0.950301 | + | 0.345881i | ||||
\(699\) | −38899.6 | + | 14158.3i | −2.10489 | + | 0.766116i | ||||
\(700\) | −754.037 | + | 632.712i | −0.0407142 | + | 0.0341633i | ||||
\(701\) | −2244.79 | − | 12730.8i | −0.120948 | − | 0.685930i | −0.983632 | − | 0.180187i | \(-0.942330\pi\) |
0.862684 | − | 0.505743i | \(-0.168782\pi\) | |||||||
\(702\) | −5356.15 | −0.287970 | ||||||||
\(703\) | −5917.93 | − | 18324.7i | −0.317495 | − | 0.983114i | ||||
\(704\) | 25344.7 | 1.35684 | ||||||||
\(705\) | −2809.97 | − | 15936.1i | −0.150113 | − | 0.851332i | ||||
\(706\) | 21717.3 | − | 18223.0i | 1.15771 | − | 0.971431i | ||||
\(707\) | −154.203 | + | 56.1254i | −0.00820284 | + | 0.00298559i | ||||
\(708\) | 450.267 | + | 163.884i | 0.0239012 | + | 0.00869934i | ||||
\(709\) | −11565.1 | − | 9704.25i | −0.612603 | − | 0.514035i | 0.282866 | − | 0.959160i | \(-0.408715\pi\) |
−0.895469 | + | 0.445125i | \(0.853159\pi\) | |||||||
\(710\) | 4593.95 | − | 7956.96i | 0.242828 | − | 0.420590i | ||||
\(711\) | −5994.83 | − | 10383.3i | −0.316208 | − | 0.547688i | ||||
\(712\) | −169.101 | + | 959.020i | −0.00890075 | + | 0.0504787i | ||||
\(713\) | −4454.97 | + | 25265.4i | −0.233997 | + | 1.32706i | ||||
\(714\) | −18942.1 | − | 32808.8i | −0.992846 | − | 1.71966i | ||||
\(715\) | −2356.01 | + | 4080.73i | −0.123230 | + | 0.213441i | ||||
\(716\) | −971.786 | − | 815.425i | −0.0507226 | − | 0.0425613i | ||||
\(717\) | 22295.6 | + | 8114.95i | 1.16129 | + | 0.422675i | ||||
\(718\) | −27719.3 | + | 10089.0i | −1.44077 | + | 0.524398i | ||||
\(719\) | −8869.03 | + | 7442.00i | −0.460027 | + | 0.386008i | −0.843141 | − | 0.537693i | \(-0.819296\pi\) |
0.383114 | + | 0.923701i | \(0.374852\pi\) | |||||||
\(720\) | 536.036 | + | 3040.01i | 0.0277457 | + | 0.157354i | ||||
\(721\) | 20638.9 | 1.06607 | ||||||||
\(722\) | −13519.9 | − | 13149.5i | −0.696894 | − | 0.677805i | ||||
\(723\) | −16398.8 | −0.843536 | ||||||||
\(724\) | −177.705 | − | 1007.82i | −0.00912205 | − | 0.0517337i | ||||
\(725\) | −6770.41 | + | 5681.05i | −0.346823 | + | 0.291019i | ||||
\(726\) | 13985.9 | − | 5090.43i | 0.714964 | − | 0.260225i | ||||
\(727\) | 3836.36 | + | 1396.32i | 0.195712 | + | 0.0712334i | 0.438017 | − | 0.898967i | \(-0.355681\pi\) |
−0.242305 | + | 0.970200i | \(0.577903\pi\) | |||||||
\(728\) | −7661.06 | − | 6428.39i | −0.390024 | − | 0.327269i | ||||
\(729\) | −4434.14 | + | 7680.15i | −0.225278 | + | 0.390192i | ||||
\(730\) | 3595.12 | + | 6226.93i | 0.182276 | + | 0.315711i | ||||
\(731\) | 1361.81 | − | 7723.22i | 0.0689035 | − | 0.390771i | ||||
\(732\) | −127.182 | + | 721.284i | −0.00642182 | + | 0.0364200i | ||||
\(733\) | −17806.4 | − | 30841.6i | −0.897263 | − | 1.55411i | −0.830978 | − | 0.556305i | \(-0.812219\pi\) |
−0.0662848 | − | 0.997801i | \(-0.521115\pi\) | |||||||
\(734\) | −5051.08 | + | 8748.74i | −0.254004 | + | 0.439948i | ||||
\(735\) | 5234.94 | + | 4392.63i | 0.262712 | + | 0.220442i | ||||
\(736\) | 1684.01 | + | 612.928i | 0.0843387 | + | 0.0306968i | ||||
\(737\) | −6873.66 | + | 2501.81i | −0.343548 | + | 0.125041i | ||||
\(738\) | −5109.95 | + | 4287.76i | −0.254878 | + | 0.213868i | ||||
\(739\) | 505.438 | + | 2866.48i | 0.0251594 | + | 0.142686i | 0.994800 | − | 0.101849i | \(-0.0324758\pi\) |
−0.969640 | + | 0.244535i | \(0.921365\pi\) | |||||||
\(740\) | 555.566 | 0.0275987 | ||||||||
\(741\) | −2819.27 | − | 8729.77i | −0.139768 | − | 0.432788i | ||||
\(742\) | −7336.73 | −0.362991 | ||||||||
\(743\) | 6796.69 | + | 38546.0i | 0.335594 | + | 1.90325i | 0.421287 | + | 0.906927i | \(0.361578\pi\) |
−0.0856930 | + | 0.996322i | \(0.527310\pi\) | |||||||
\(744\) | 30498.2 | − | 25591.1i | 1.50285 | − | 1.26104i | ||||
\(745\) | −1913.63 | + | 696.505i | −0.0941075 | + | 0.0342523i | ||||
\(746\) | −6996.27 | − | 2546.44i | −0.343367 | − | 0.124975i | ||||
\(747\) | 2222.58 | + | 1864.97i | 0.108862 | + | 0.0913461i | ||||
\(748\) | 1008.36 | − | 1746.54i | 0.0492907 | − | 0.0853740i | ||||
\(749\) | 10015.5 | + | 17347.4i | 0.488597 | + | 0.846274i | ||||
\(750\) | −3453.95 | + | 19588.3i | −0.168161 | + | 0.953686i | ||||
\(751\) | 3986.93 | − | 22611.0i | 0.193722 | − | 1.09865i | −0.720505 | − | 0.693449i | \(-0.756090\pi\) |
0.914227 | − | 0.405202i | \(-0.132799\pi\) | |||||||
\(752\) | −14864.6 | − | 25746.3i | −0.720820 | − | 1.24850i | ||||
\(753\) | 9720.49 | − | 16836.4i | 0.470431 | − | 0.814810i | ||||
\(754\) | −3581.10 | − | 3004.90i | −0.172966 | − | 0.145135i | ||||
\(755\) | −2537.31 | − | 923.504i | −0.122307 | − | 0.0445162i | ||||
\(756\) | −1028.64 | + | 374.394i | −0.0494857 | + | 0.0180113i | ||||
\(757\) | 7376.48 | − | 6189.60i | 0.354165 | − | 0.297180i | −0.448295 | − | 0.893886i | \(-0.647969\pi\) |
0.802460 | + | 0.596706i | \(0.203524\pi\) | |||||||
\(758\) | −5774.66 | − | 32749.7i | −0.276709 | − | 1.56929i | ||||
\(759\) | 25702.3 | 1.22916 | ||||||||
\(760\) | 9237.12 | − | 4890.35i | 0.440876 | − | 0.233410i | ||||
\(761\) | 18187.4 | 0.866350 | 0.433175 | − | 0.901310i | \(-0.357393\pi\) | ||||
0.433175 | + | 0.901310i | \(0.357393\pi\) | |||||||
\(762\) | 1647.26 | + | 9342.09i | 0.0783123 | + | 0.444131i | ||||
\(763\) | 9493.73 | − | 7966.18i | 0.450454 | − | 0.377975i | ||||
\(764\) | 977.820 | − | 355.897i | 0.0463040 | − | 0.0168533i | ||||
\(765\) | 4678.70 | + | 1702.91i | 0.221122 | + | 0.0804820i | ||||
\(766\) | −11107.3 | − | 9320.09i | −0.523918 | − | 0.439620i | ||||
\(767\) | −1658.75 | + | 2873.05i | −0.0780888 | + | 0.135254i | ||||
\(768\) | −2029.91 | − | 3515.91i | −0.0953751 | − | 0.165194i | ||||
\(769\) | −2426.76 | + | 13762.9i | −0.113799 | + | 0.645385i | 0.873539 | + | 0.486754i | \(0.161819\pi\) |
−0.987338 | + | 0.158631i | \(0.949292\pi\) | |||||||
\(770\) | 2877.70 | − | 16320.2i | 0.134682 | − | 0.763819i | ||||
\(771\) | 21174.0 | + | 36674.4i | 0.989057 | + | 1.71310i | ||||
\(772\) | −600.524 | + | 1040.14i | −0.0279965 | + | 0.0484914i | ||||
\(773\) | −15491.5 | − | 12998.9i | −0.720816 | − | 0.604837i | 0.206795 | − | 0.978384i | \(-0.433697\pi\) |
−0.927611 | + | 0.373548i | \(0.878141\pi\) | |||||||
\(774\) | −1961.68 | − | 713.993i | −0.0910996 | − | 0.0331576i | ||||
\(775\) | 25494.0 | − | 9279.05i | 1.18164 | − | 0.430082i | ||||
\(776\) | −10097.9 | + | 8473.11i | −0.467129 | + | 0.391968i | ||||
\(777\) | 5720.36 | + | 32441.8i | 0.264114 | + | 1.49787i | ||||
\(778\) | −18319.8 | −0.844211 | ||||||||
\(779\) | 18078.3 | + | 11341.5i | 0.831480 | + | 0.521631i | ||||
\(780\) | 264.668 | 0.0121495 | ||||||||
\(781\) | 5036.07 | + | 28561.0i | 0.230736 | + | 1.30857i | ||||
\(782\) | −18483.7 | + | 15509.6i | −0.845236 | + | 0.709237i | ||||
\(783\) | −9236.02 | + | 3361.64i | −0.421543 | + | 0.153429i | ||||
\(784\) | 11797.7 | + | 4294.00i | 0.537430 | + | 0.195608i | ||||
\(785\) | −11493.5 | − | 9644.17i | −0.522573 | − | 0.438491i | ||||
\(786\) | −363.848 | + | 630.203i | −0.0165115 | + | 0.0285987i | ||||
\(787\) | 3258.28 | + | 5643.50i | 0.147579 | + | 0.255615i | 0.930332 | − | 0.366718i | \(-0.119518\pi\) |
−0.782753 | + | 0.622333i | \(0.786185\pi\) | |||||||
\(788\) | −166.041 | + | 941.667i | −0.00750632 | + | 0.0425705i | ||||
\(789\) | 146.888 | − | 833.041i | 0.00662781 | − | 0.0375882i | ||||
\(790\) | 9522.18 | + | 16492.9i | 0.428840 | + | 0.742774i | ||||
\(791\) | −4549.38 | + | 7879.76i | −0.204497 | + | 0.354200i | ||||
\(792\) | −7899.34 | − | 6628.33i | −0.354407 | − | 0.297383i | ||||
\(793\) | −4765.05 | − | 1734.34i | −0.213382 | − | 0.0776647i | ||||
\(794\) | −16809.7 | + | 6118.24i | −0.751329 | + | 0.273461i | ||||
\(795\) | 2857.05 | − | 2397.35i | 0.127458 | − | 0.106950i | ||||
\(796\) | −393.825 | − | 2233.49i | −0.0175361 | − | 0.0994524i | ||||
\(797\) | −21628.0 | −0.961235 | −0.480618 | − | 0.876930i | \(-0.659587\pi\) | ||||
−0.480618 | + | 0.876930i | \(0.659587\pi\) | |||||||
\(798\) | 19818.1 | + | 25459.5i | 0.879140 | + | 1.12940i | ||||
\(799\) | −47951.1 | −2.12314 | ||||||||
\(800\) | −329.083 | − | 1866.32i | −0.0145436 | − | 0.0824806i | ||||
\(801\) | 302.645 | − | 253.949i | 0.0133501 | − | 0.0112021i | ||||
\(802\) | 8835.07 | − | 3215.70i | 0.388999 | − | 0.141584i | ||||
\(803\) | −21327.2 | − | 7762.48i | −0.937262 | − | 0.341136i | ||||
\(804\) | 314.740 | + | 264.098i | 0.0138060 | + | 0.0115846i | ||||
\(805\) | 5760.87 | − | 9978.12i | 0.252229 | − | 0.436873i | ||||
\(806\) | 7175.03 | + | 12427.5i | 0.313560 | + | 0.543102i | ||||
\(807\) | −3590.96 | + | 20365.3i | −0.156639 | + | 0.888344i | ||||
\(808\) | 28.1643 | − | 159.728i | 0.00122626 | − | 0.00695446i | ||||
\(809\) | −11239.6 | − | 19467.5i | −0.488459 | − | 0.846035i | 0.511453 | − | 0.859311i | \(-0.329107\pi\) |
−0.999912 | + | 0.0132758i | \(0.995774\pi\) | |||||||
\(810\) | −6688.51 | + | 11584.8i | −0.290136 | + | 0.502531i | ||||
\(811\) | 320.403 | + | 268.850i | 0.0138728 | + | 0.0116407i | 0.649698 | − | 0.760193i | \(-0.274895\pi\) |
−0.635825 | + | 0.771833i | \(0.719340\pi\) | |||||||
\(812\) | −897.786 | − | 326.768i | −0.0388007 | − | 0.0141223i | ||||
\(813\) | 18144.7 | − | 6604.14i | 0.782735 | − | 0.284892i | ||||
\(814\) | 23117.4 | − | 19397.8i | 0.995411 | − | 0.835249i | ||||
\(815\) | 3506.79 | + | 19888.0i | 0.150721 | + | 0.854780i | ||||
\(816\) | 35381.2 | 1.51788 | ||||||||
\(817\) | −244.996 | + | 6674.36i | −0.0104912 | + | 0.285809i | ||||
\(818\) | 3646.04 | 0.155844 | ||||||||
\(819\) | 704.544 | + | 3995.67i | 0.0300595 | + | 0.170476i | ||||
\(820\) | −471.664 | + | 395.773i | −0.0200868 | + | 0.0168549i | ||||
\(821\) | −35130.4 | + | 12786.4i | −1.49338 | + | 0.543544i | −0.954336 | − | 0.298737i | \(-0.903435\pi\) |
−0.539039 | + | 0.842281i | \(0.681213\pi\) | |||||||
\(822\) | −32492.5 | − | 11826.3i | −1.37872 | − | 0.501812i | ||||
\(823\) | 10803.6 | + | 9065.33i | 0.457583 | + | 0.383958i | 0.842241 | − | 0.539101i | \(-0.181236\pi\) |
−0.384658 | + | 0.923059i | \(0.625680\pi\) | |||||||
\(824\) | −10199.5 | + | 17666.0i | −0.431208 | + | 0.746875i | ||||
\(825\) | −13590.0 | − | 23538.6i | −0.573507 | − | 0.993343i | ||||
\(826\) | 2026.05 | − | 11490.3i | 0.0853455 | − | 0.484018i | ||||
\(827\) | 7514.64 | − | 42617.7i | 0.315973 | − | 1.79197i | −0.250737 | − | 0.968055i | \(-0.580673\pi\) |
0.566710 | − | 0.823917i | \(-0.308216\pi\) | |||||||
\(828\) | −186.619 | − | 323.233i | −0.00783267 | − | 0.0135666i | ||||
\(829\) | −13342.5 | + | 23109.9i | −0.558993 | + | 0.968204i | 0.438588 | + | 0.898688i | \(0.355479\pi\) |
−0.997581 | + | 0.0695155i | \(0.977855\pi\) | |||||||
\(830\) | −3530.34 | − | 2962.31i | −0.147639 | − | 0.123883i | ||||
\(831\) | 9286.54 | + | 3380.02i | 0.387661 | + | 0.141097i | ||||
\(832\) | 9261.78 | − | 3371.01i | 0.385931 | − | 0.140467i | ||||
\(833\) | 15512.4 | − | 13016.5i | 0.645226 | − | 0.541409i | ||||
\(834\) | −6631.53 | − | 37609.3i | −0.275337 | − | 1.56151i | ||||
\(835\) | −8140.50 | −0.337381 | ||||||||
\(836\) | −646.234 | + | 1591.31i | −0.0267350 | + | 0.0658331i | ||||
\(837\) | 30171.0 | 1.24595 | ||||||||
\(838\) | −1172.35 | − | 6648.73i | −0.0483272 | − | 0.274077i | ||||
\(839\) | 23549.6 | − | 19760.5i | 0.969039 | − | 0.813120i | −0.0133609 | − | 0.999911i | \(-0.504253\pi\) |
0.982400 | + | 0.186791i | \(0.0598086\pi\) | |||||||
\(840\) | −16801.6 | + | 6115.28i | −0.690131 | + | 0.251187i | ||||
\(841\) | 14857.0 | + | 5407.52i | 0.609170 | + | 0.221720i | ||||
\(842\) | −1967.22 | − | 1650.69i | −0.0805166 | − | 0.0675614i | ||||
\(843\) | −3596.94 | + | 6230.09i | −0.146958 | + | 0.254538i | ||||
\(844\) | 772.538 | + | 1338.08i | 0.0315069 | + | 0.0545716i | ||||
\(845\) | 1756.58 | − | 9962.06i | 0.0715127 | − | 0.405568i | ||||
\(846\) | −2216.48 | + | 12570.3i | −0.0900759 | + | 0.510846i | ||||
\(847\) | 10529.9 | + | 18238.3i | 0.427169 | + | 0.739878i | ||||
\(848\) | 3425.99 | − | 5933.99i | 0.138737 | − | 0.240299i | ||||
\(849\) | 11169.2 | + | 9372.05i | 0.451502 | + | 0.378855i | ||||
\(850\) | 23977.1 | + | 8726.97i | 0.967540 | + | 0.352156i | ||||
\(851\) | 19715.8 | − | 7175.95i | 0.794181 | − | 0.289058i | ||||
\(852\) | 1247.87 | − | 1047.09i | 0.0501777 | − | 0.0421041i | ||||
\(853\) | −1637.01 | − | 9283.93i | −0.0657093 | − | 0.372656i | −0.999875 | − | 0.0158164i | \(-0.994965\pi\) |
0.934166 | − | 0.356840i | \(-0.116146\pi\) | |||||||
\(854\) | 17834.1 | 0.714601 | ||||||||
\(855\) | −4146.03 | − | 889.000i | −0.165838 | − | 0.0355592i | ||||
\(856\) | −19798.1 | −0.790521 | ||||||||
\(857\) | −6156.15 | − | 34913.3i | −0.245379 | − | 1.39162i | −0.819610 | − | 0.572922i | \(-0.805810\pi\) |
0.574230 | − | 0.818694i | \(-0.305301\pi\) | |||||||
\(858\) | 11013.0 | − | 9240.99i | 0.438202 | − | 0.367695i | ||||
\(859\) | −2974.86 | + | 1082.76i | −0.118162 | + | 0.0430074i | −0.400424 | − | 0.916330i | \(-0.631137\pi\) |
0.282263 | + | 0.959337i | \(0.408915\pi\) | |||||||
\(860\) | −181.069 | − | 65.9037i | −0.00717953 | − | 0.00261314i | ||||
\(861\) | −27967.3 | − | 23467.3i | −1.10699 | − | 0.928878i | ||||
\(862\) | −1448.98 | + | 2509.71i | −0.0572535 | + | 0.0991660i | ||||
\(863\) | 8473.77 | + | 14677.0i | 0.334241 | + | 0.578923i | 0.983339 | − | 0.181782i | \(-0.0581866\pi\) |
−0.649097 | + | 0.760705i | \(0.724853\pi\) | |||||||
\(864\) | 365.968 | − | 2075.51i | 0.0144103 | − | 0.0817249i | ||||
\(865\) | −535.115 | + | 3034.79i | −0.0210340 | + | 0.119290i | ||||
\(866\) | 12582.7 | + | 21794.0i | 0.493740 | + | 0.855183i | ||||
\(867\) | 13710.1 | − | 23746.6i | 0.537047 | − | 0.930193i | ||||
\(868\) | 2246.63 | + | 1885.15i | 0.0878522 | + | 0.0737167i | ||||
\(869\) | −56488.2 | − | 20560.0i | −2.20510 | − | 0.802590i | ||||
\(870\) | −7853.77 | + | 2858.54i | −0.306055 | + | 0.111395i | ||||
\(871\) | −2179.11 | + | 1828.49i | −0.0847718 | + | 0.0711320i | ||||
\(872\) | 2127.03 | + | 12063.0i | 0.0826037 | + | 0.468469i | ||||
\(873\) | 5347.84 | 0.207327 | ||||||||
\(874\) | 13777.1 | − | 15246.3i | 0.533202 | − | 0.590060i | ||||
\(875\) | −28144.8 | −1.08739 | ||||||||
\(876\) | 221.367 | + | 1255.44i | 0.00853803 | + | 0.0484216i | ||||
\(877\) | −13543.5 | + | 11364.3i | −0.521472 | + | 0.437567i | −0.865145 | − | 0.501522i | \(-0.832774\pi\) |
0.343672 | + | 0.939090i | \(0.388329\pi\) | |||||||
\(878\) | −4191.03 | + | 1525.41i | −0.161094 | + | 0.0586334i | ||||
\(879\) | −10078.1 | − | 3668.13i | −0.386719 | − | 0.140754i | ||||
\(880\) | 11856.1 | + | 9948.47i | 0.454170 | + | 0.381094i | ||||
\(881\) | −13438.4 | + | 23276.0i | −0.513907 | + | 0.890113i | 0.485963 | + | 0.873980i | \(0.338469\pi\) |
−0.999870 | + | 0.0161337i | \(0.994864\pi\) | |||||||
\(882\) | −2695.20 | − | 4668.22i | −0.102893 | − | 0.178217i | ||||
\(883\) | −6839.72 | + | 38790.0i | −0.260674 | + | 1.47835i | 0.520403 | + | 0.853921i | \(0.325782\pi\) |
−0.781077 | + | 0.624434i | \(0.785330\pi\) | |||||||
\(884\) | 136.188 | − | 772.362i | 0.00518157 | − | 0.0293861i | ||||
\(885\) | 2965.59 | + | 5136.56i | 0.112641 | + | 0.195100i | ||||
\(886\) | 14319.5 | − | 24802.2i | 0.542973 | − | 0.940457i | ||||
\(887\) | 12259.4 | + | 10286.9i | 0.464072 | + | 0.389402i | 0.844627 | − | 0.535356i | \(-0.179823\pi\) |
−0.380555 | + | 0.924758i | \(0.624267\pi\) | |||||||
\(888\) | −30595.7 | − | 11135.9i | −1.15622 | − | 0.420830i | ||||
\(889\) | −12613.3 | + | 4590.88i | −0.475858 | + | 0.173198i | ||||
\(890\) | −480.721 | + | 403.373i | −0.0181054 | + | 0.0151922i | ||||
\(891\) | −7332.21 | − | 41583.0i | −0.275688 | − | 1.56351i | ||||
\(892\) | −929.591 | −0.0348935 | ||||||||
\(893\) | 40449.6 | − | 5611.25i | 1.51578 | − | 0.210272i | ||||
\(894\) | 6213.22 | 0.232440 | ||||||||
\(895\) | −2726.74 | − | 15464.1i | −0.101838 | − | 0.577551i | ||||
\(896\) | −23696.5 | + | 19883.8i | −0.883533 | + | 0.741372i | ||||
\(897\) | 9392.47 | − | 3418.58i | 0.349616 | − | 0.127250i | ||||
\(898\) | 34507.8 | + | 12559.8i | 1.28234 | + | 0.466734i | ||||
\(899\) | 20172.2 | + | 16926.5i | 0.748367 | + | 0.627955i | ||||
\(900\) | −197.348 | + | 341.817i | −0.00730919 | + | 0.0126599i | ||||
\(901\) | −5525.87 | − | 9571.10i | −0.204321 | − | 0.353895i | ||||
\(902\) | −5807.62 | + | 32936.7i | −0.214382 | + | 1.21582i | ||||
\(903\) | 1984.02 | − | 11251.9i | 0.0731163 | − | 0.414663i | ||||
\(904\) | −4496.49 | − | 7788.15i | −0.165433 | − | 0.286538i | ||||
\(905\) | 6333.69 | − | 10970.3i | 0.232640 | − | 0.402944i | ||||
\(906\) | 6310.81 | + | 5295.40i | 0.231416 | + | 0.194181i | ||||
\(907\) | −3270.13 | − | 1190.23i | −0.119717 | − | 0.0435733i | 0.281467 | − | 0.959571i | \(-0.409179\pi\) |
−0.401184 | + | 0.915998i | \(0.631401\pi\) | |||||||
\(908\) | −519.120 | + | 188.944i | −0.0189731 | + | 0.00690565i | ||||
\(909\) | −50.4064 | + | 42.2960i | −0.00183925 | + | 0.00154331i | ||||
\(910\) | −1119.10 | − | 6346.71i | −0.0407667 | − | 0.231199i | ||||
\(911\) | −18185.1 | −0.661359 | −0.330680 | − | 0.943743i | \(-0.607278\pi\) | ||||
−0.330680 | + | 0.943743i | \(0.607278\pi\) | |||||||
\(912\) | −29846.2 | + | 4140.32i | −1.08367 | + | 0.150329i | ||||
\(913\) | 14546.8 | 0.527305 | ||||||||
\(914\) | −8389.70 | − | 47580.3i | −0.303618 | − | 1.72190i | ||||
\(915\) | −6944.89 | + | 5827.45i | −0.250919 | + | 0.210546i | ||||
\(916\) | 752.737 | − | 273.974i | 0.0271519 | − | 0.00988247i | ||||
\(917\) | −967.581 | − | 352.171i | −0.0348444 | − | 0.0126823i | ||||
\(918\) | 21737.2 | + | 18239.7i | 0.781519 | + | 0.655772i | ||||
\(919\) | −8934.27 | + | 15474.6i | −0.320690 | + | 0.555452i | −0.980631 | − | 0.195866i | \(-0.937248\pi\) |
0.659940 | + | 0.751318i | \(0.270582\pi\) | |||||||
\(920\) | 5693.89 | + | 9862.11i | 0.204046 | + | 0.353418i | ||||
\(921\) | −6601.40 | + | 37438.4i | −0.236182 | + | 1.33945i | ||||
\(922\) | −4968.00 | + | 28174.9i | −0.177454 | + | 1.00639i | ||||
\(923\) | 5639.15 | + | 9767.30i | 0.201100 | + | 0.348315i | ||||
\(924\) | 1469.08 | − | 2544.52i | 0.0523043 | − | 0.0905937i | ||||
\(925\) | −16996.5 | − | 14261.8i | −0.604153 | − | 0.506944i | ||||
\(926\) | −10401.8 | − | 3785.93i | −0.369139 | − | 0.134356i | ||||
\(927\) | 7776.72 | − | 2830.49i | 0.275535 | − | 0.100287i | ||||
\(928\) | 1409.09 | − | 1182.36i | 0.0498443 | − | 0.0418244i | ||||
\(929\) | 2814.85 | + | 15963.8i | 0.0994105 | + | 0.563785i | 0.993306 | + | 0.115510i | \(0.0368503\pi\) |
−0.893896 | + | 0.448275i | \(0.852039\pi\) | |||||||
\(930\) | 25655.7 | 0.904604 | ||||||||
\(931\) | −11562.4 | + | 12795.4i | −0.407029 | + | 0.450433i | ||||
\(932\) | 3013.96 | 0.105929 | ||||||||
\(933\) | −4352.48 | − | 24684.2i | −0.152727 | − | 0.866156i | ||||
\(934\) | −14054.2 | + | 11792.9i | −0.492365 | + | 0.413143i | ||||
\(935\) | 23457.9 | − | 8537.99i | 0.820488 | − | 0.298633i | ||||
\(936\) | −3768.29 | − | 1371.55i | −0.131592 | − | 0.0478957i | ||||
\(937\) | 14567.9 | + | 12223.9i | 0.507910 | + | 0.426187i | 0.860393 | − | 0.509631i | \(-0.170218\pi\) |
−0.352483 | + | 0.935818i | \(0.614662\pi\) | |||||||
\(938\) | 5002.22 | − | 8664.10i | 0.174124 | − | 0.301592i | ||||
\(939\) | 1019.15 | + | 1765.22i | 0.0354193 | + | 0.0613479i | ||||
\(940\) | −204.588 | + | 1160.27i | −0.00709885 | + | 0.0402596i | ||||
\(941\) | −6801.96 | + | 38575.8i | −0.235640 | + | 1.33638i | 0.605620 | + | 0.795754i | \(0.292925\pi\) |
−0.841261 | + | 0.540630i | \(0.818186\pi\) | |||||||
\(942\) | 22888.2 | + | 39643.5i | 0.791654 | + | 1.37118i | ||||
\(943\) | −11626.3 | + | 20137.3i | −0.401489 | + | 0.695399i | ||||
\(944\) | 8347.34 | + | 7004.25i | 0.287799 | + | 0.241492i | ||||
\(945\) | −12732.7 | − | 4634.31i | −0.438300 | − | 0.159528i | ||||
\(946\) | −9835.43 | + | 3579.80i | −0.338031 | + | 0.123033i | ||||
\(947\) | 36536.0 | − | 30657.4i | 1.25371 | − | 1.05199i | 0.257385 | − | 0.966309i | \(-0.417139\pi\) |
0.996323 | − | 0.0856775i | \(-0.0273055\pi\) | |||||||
\(948\) | 586.323 | + | 3325.20i | 0.0200874 | + | 0.113921i | ||||
\(949\) | −8826.14 | −0.301906 | ||||||||
\(950\) | −21247.4 | − | 4555.90i | −0.725638 | − | 0.155593i | ||||
\(951\) | 32046.8 | 1.09273 | ||||||||
\(952\) | 9200.31 | + | 52177.5i | 0.313218 | + | 1.77635i | ||||
\(953\) | 8730.52 | − | 7325.78i | 0.296757 | − | 0.249009i | −0.482236 | − | 0.876041i | \(-0.660175\pi\) |
0.778993 | + | 0.627033i | \(0.215731\pi\) | |||||||
\(954\) | −2764.47 | + | 1006.19i | −0.0938187 | + | 0.0341472i | ||||
\(955\) | 12103.6 | + | 4405.36i | 0.410120 | + | 0.149271i | ||||
\(956\) | −1323.32 | − | 1110.40i | −0.0447692 | − | 0.0375658i | ||||
\(957\) | 13190.7 | − | 22847.0i | 0.445553 | − | 0.771721i | ||||
\(958\) | −8008.58 | − | 13871.3i | −0.270089 | − | 0.467808i | ||||
\(959\) | 8496.09 | − | 48183.7i | 0.286082 | − | 1.62245i | ||||
\(960\) | 3059.91 | − | 17353.6i | 0.102873 | − | 0.583422i | ||||
\(961\) | −25521.2 | − | 44204.0i | −0.856675 | − | 1.48381i | ||||
\(962\) | 5867.83 | − | 10163.4i | 0.196659 | − | 0.340624i | ||||
\(963\) | 6152.92 | + | 5162.91i | 0.205893 | + | 0.172765i | ||||
\(964\) | 1121.95 | + | 408.358i | 0.0374852 | + | 0.0136435i | ||||
\(965\) | −13970.2 | + | 5084.74i | −0.466028 | + | 0.169620i | ||||
\(966\) | −26928.8 | + | 22595.9i | −0.896914 | + | 0.752600i | ||||
\(967\) | −1305.96 | − | 7406.47i | −0.0434300 | − | 0.246304i | 0.955362 | − | 0.295437i | \(-0.0954653\pi\) |
−0.998792 | + | 0.0491331i | \(0.984354\pi\) | |||||||
\(968\) | −20815.0 | −0.691135 | ||||||||
\(969\) | −18286.5 | + | 45029.2i | −0.606241 | + | 1.49283i | ||||
\(970\) | −8494.50 | −0.281177 | ||||||||
\(971\) | 84.9728 | + | 481.905i | 0.00280835 | + | 0.0159269i | 0.986180 | − | 0.165679i | \(-0.0529816\pi\) |
−0.983371 | + | 0.181606i | \(0.941870\pi\) | |||||||
\(972\) | −852.495 | + | 715.328i | −0.0281315 | + | 0.0236051i | ||||
\(973\) | 50778.7 | − | 18481.9i | 1.67306 | − | 0.608945i | ||||
\(974\) | −7418.70 | − | 2700.19i | −0.244056 | − | 0.0888291i | ||||
\(975\) | −8097.02 | − | 6794.21i | −0.265961 | − | 0.223168i | ||||
\(976\) | −8327.87 | + | 14424.3i | −0.273124 | + | 0.473064i | ||||
\(977\) | −8975.95 | − | 15546.8i | −0.293926 | − | 0.509096i | 0.680808 | − | 0.732462i | \(-0.261629\pi\) |
−0.974735 | + | 0.223366i | \(0.928295\pi\) | |||||||
\(978\) | 10699.3 | − | 60678.5i | 0.349821 | − | 1.98393i | ||||
\(979\) | 343.965 | − | 1950.72i | 0.0112290 | − | 0.0636827i | ||||
\(980\) | −248.775 | − | 430.890i | −0.00810899 | − | 0.0140452i | ||||
\(981\) | 2484.72 | − | 4303.65i | 0.0808674 | − | 0.140066i | ||||
\(982\) | −23844.9 | − | 20008.2i | −0.774868 | − | 0.650192i | ||||
\(983\) | 17320.0 | + | 6303.96i | 0.561976 | + | 0.204542i | 0.607359 | − | 0.794427i | \(-0.292229\pi\) |
−0.0453837 | + | 0.998970i | \(0.514451\pi\) | |||||||
\(984\) | 33908.1 | − | 12341.5i | 1.09853 | − | 0.399831i | ||||
\(985\) | −9066.86 | + | 7608.00i | −0.293294 | + | 0.246102i | ||||
\(986\) | 4300.61 | + | 24390.0i | 0.138904 | + | 0.787764i | ||||
\(987\) | −69859.7 | −2.25295 | ||||||||
\(988\) | −24.5009 | + | 667.470i | −0.000788944 | + | 0.0214930i | ||||
\(989\) | −7276.96 | −0.233968 | ||||||||
\(990\) | −1153.90 | − | 6544.11i | −0.0370439 | − | 0.210086i | ||||
\(991\) | 10549.6 | − | 8852.13i | 0.338161 | − | 0.283751i | −0.457854 | − | 0.889027i | \(-0.651382\pi\) |
0.796015 | + | 0.605276i | \(0.206937\pi\) | |||||||
\(992\) | −5305.92 | + | 1931.20i | −0.169822 | + | 0.0618100i | ||||
\(993\) | 31703.7 | + | 11539.2i | 1.01318 | + | 0.368767i | ||||
\(994\) | −30385.5 | − | 25496.4i | −0.969587 | − | 0.813580i | ||||
\(995\) | 14036.5 | − | 24312.0i | 0.447224 | − | 0.774616i | ||||
\(996\) | −408.539 | − | 707.610i | −0.0129970 | − | 0.0225115i | ||||
\(997\) | 6089.47 | − | 34535.1i | 0.193436 | − | 1.09703i | −0.721193 | − | 0.692734i | \(-0.756406\pi\) |
0.914629 | − | 0.404295i | \(-0.132483\pi\) | |||||||
\(998\) | −357.158 | + | 2025.54i | −0.0113283 | + | 0.0642460i | ||||
\(999\) | −12337.1 | − | 21368.5i | −0.390720 | − | 0.676746i |
(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 | 19.4.e.a.9.3 | ✓ | 24 | |
3.2 | odd | 2 | 171.4.u.b.28.2 | 24 | |||
19.6 | even | 9 | 361.4.a.n.1.9 | 12 | |||
19.13 | odd | 18 | 361.4.a.m.1.4 | 12 | |||
19.17 | even | 9 | inner | 19.4.e.a.17.3 | yes | 24 | |
57.17 | odd | 18 | 171.4.u.b.55.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
19.4.e.a.9.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
19.4.e.a.17.3 | yes | 24 | 19.17 | even | 9 | inner | |
171.4.u.b.28.2 | 24 | 3.2 | odd | 2 | |||
171.4.u.b.55.2 | 24 | 57.17 | odd | 18 | |||
361.4.a.m.1.4 | 12 | 19.13 | odd | 18 | |||
361.4.a.n.1.9 | 12 | 19.6 | even | 9 |