Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,4,Mod(361,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.361");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.e (of order \(3\), degree \(2\), not 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: | \(28.9109359028\) |
Analytic rank: | \(1\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 10) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 490.361 |
Dual form | 490.4.e.i.471.1 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | − | 1.73205i | −0.353553 | − | 0.612372i | ||||
\(3\) | 4.00000 | − | 6.92820i | 0.769800 | − | 1.33333i | −0.167871 | − | 0.985809i | \(-0.553689\pi\) |
0.937671 | − | 0.347524i | \(-0.112978\pi\) | |||||||
\(4\) | −2.00000 | + | 3.46410i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.50000 | − | 4.33013i | −0.223607 | − | 0.387298i | ||||
\(6\) | −16.0000 | −1.08866 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 8.00000 | 0.353553 | ||||||||
\(9\) | −18.5000 | − | 32.0429i | −0.685185 | − | 1.18678i | ||||
\(10\) | −5.00000 | + | 8.66025i | −0.158114 | + | 0.273861i | ||||
\(11\) | −6.00000 | + | 10.3923i | −0.164461 | + | 0.284854i | −0.936464 | − | 0.350765i | \(-0.885922\pi\) |
0.772003 | + | 0.635619i | \(0.219255\pi\) | |||||||
\(12\) | 16.0000 | + | 27.7128i | 0.384900 | + | 0.666667i | ||||
\(13\) | −58.0000 | −1.23741 | −0.618704 | − | 0.785624i | \(-0.712342\pi\) | ||||
−0.618704 | + | 0.785624i | \(0.712342\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −40.0000 | −0.688530 | ||||||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | −33.0000 | + | 57.1577i | −0.470804 | + | 0.815457i | −0.999442 | − | 0.0333902i | \(-0.989370\pi\) |
0.528638 | + | 0.848847i | \(0.322703\pi\) | |||||||
\(18\) | −37.0000 | + | 64.0859i | −0.484499 | + | 0.839177i | ||||
\(19\) | 50.0000 | + | 86.6025i | 0.603726 | + | 1.04568i | 0.992251 | + | 0.124246i | \(0.0396511\pi\) |
−0.388526 | + | 0.921438i | \(0.627016\pi\) | |||||||
\(20\) | 20.0000 | 0.223607 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 24.0000 | 0.232583 | ||||||||
\(23\) | −66.0000 | − | 114.315i | −0.598346 | − | 1.03637i | −0.993065 | − | 0.117564i | \(-0.962492\pi\) |
0.394720 | − | 0.918802i | \(-0.370842\pi\) | |||||||
\(24\) | 32.0000 | − | 55.4256i | 0.272166 | − | 0.471405i | ||||
\(25\) | −12.5000 | + | 21.6506i | −0.100000 | + | 0.173205i | ||||
\(26\) | 58.0000 | + | 100.459i | 0.437490 | + | 0.757755i | ||||
\(27\) | −80.0000 | −0.570222 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −90.0000 | −0.576296 | −0.288148 | − | 0.957586i | \(-0.593039\pi\) | ||||
−0.288148 | + | 0.957586i | \(0.593039\pi\) | |||||||
\(30\) | 40.0000 | + | 69.2820i | 0.243432 | + | 0.421637i | ||||
\(31\) | −76.0000 | + | 131.636i | −0.440323 | + | 0.762661i | −0.997713 | − | 0.0675892i | \(-0.978469\pi\) |
0.557391 | + | 0.830250i | \(0.311803\pi\) | |||||||
\(32\) | −16.0000 | + | 27.7128i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 48.0000 | + | 83.1384i | 0.253204 | + | 0.438562i | ||||
\(34\) | 132.000 | 0.665818 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 148.000 | 0.685185 | ||||||||
\(37\) | 17.0000 | + | 29.4449i | 0.0755347 | + | 0.130830i | 0.901319 | − | 0.433157i | \(-0.142600\pi\) |
−0.825784 | + | 0.563987i | \(0.809267\pi\) | |||||||
\(38\) | 100.000 | − | 173.205i | 0.426898 | − | 0.739410i | ||||
\(39\) | −232.000 | + | 401.836i | −0.952557 | + | 1.64988i | ||||
\(40\) | −20.0000 | − | 34.6410i | −0.0790569 | − | 0.136931i | ||||
\(41\) | −438.000 | −1.66839 | −0.834196 | − | 0.551467i | \(-0.814068\pi\) | ||||
−0.834196 | + | 0.551467i | \(0.814068\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 32.0000 | 0.113487 | 0.0567437 | − | 0.998389i | \(-0.481928\pi\) | ||||
0.0567437 | + | 0.998389i | \(0.481928\pi\) | |||||||
\(44\) | −24.0000 | − | 41.5692i | −0.0822304 | − | 0.142427i | ||||
\(45\) | −92.5000 | + | 160.215i | −0.306424 | + | 0.530742i | ||||
\(46\) | −132.000 | + | 228.631i | −0.423094 | + | 0.732821i | ||||
\(47\) | 102.000 | + | 176.669i | 0.316558 | + | 0.548295i | 0.979767 | − | 0.200139i | \(-0.0641395\pi\) |
−0.663209 | + | 0.748434i | \(0.730806\pi\) | |||||||
\(48\) | −128.000 | −0.384900 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 50.0000 | 0.141421 | ||||||||
\(51\) | 264.000 | + | 457.261i | 0.724851 | + | 1.25548i | ||||
\(52\) | 116.000 | − | 200.918i | 0.309352 | − | 0.535813i | ||||
\(53\) | −111.000 | + | 192.258i | −0.287680 | + | 0.498276i | −0.973255 | − | 0.229725i | \(-0.926217\pi\) |
0.685576 | + | 0.728001i | \(0.259551\pi\) | |||||||
\(54\) | 80.0000 | + | 138.564i | 0.201604 | + | 0.349189i | ||||
\(55\) | 60.0000 | 0.147098 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 800.000 | 1.85899 | ||||||||
\(58\) | 90.0000 | + | 155.885i | 0.203751 | + | 0.352908i | ||||
\(59\) | −210.000 | + | 363.731i | −0.463384 | + | 0.802605i | −0.999127 | − | 0.0417762i | \(-0.986698\pi\) |
0.535743 | + | 0.844381i | \(0.320032\pi\) | |||||||
\(60\) | 80.0000 | − | 138.564i | 0.172133 | − | 0.298142i | ||||
\(61\) | −451.000 | − | 781.155i | −0.946633 | − | 1.63962i | −0.752447 | − | 0.658652i | \(-0.771127\pi\) |
−0.194186 | − | 0.980965i | \(-0.562206\pi\) | |||||||
\(62\) | 304.000 | 0.622710 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 145.000 | + | 251.147i | 0.276693 | + | 0.479246i | ||||
\(66\) | 96.0000 | − | 166.277i | 0.179042 | − | 0.310110i | ||||
\(67\) | 512.000 | − | 886.810i | 0.933593 | − | 1.61703i | 0.156470 | − | 0.987683i | \(-0.449989\pi\) |
0.777123 | − | 0.629348i | \(-0.216678\pi\) | |||||||
\(68\) | −132.000 | − | 228.631i | −0.235402 | − | 0.407729i | ||||
\(69\) | −1056.00 | −1.84243 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 432.000 | 0.722098 | 0.361049 | − | 0.932547i | \(-0.382419\pi\) | ||||
0.361049 | + | 0.932547i | \(0.382419\pi\) | |||||||
\(72\) | −148.000 | − | 256.344i | −0.242250 | − | 0.419589i | ||||
\(73\) | −181.000 | + | 313.501i | −0.290198 | + | 0.502638i | −0.973856 | − | 0.227165i | \(-0.927054\pi\) |
0.683658 | + | 0.729802i | \(0.260388\pi\) | |||||||
\(74\) | 34.0000 | − | 58.8897i | 0.0534111 | − | 0.0925107i | ||||
\(75\) | 100.000 | + | 173.205i | 0.153960 | + | 0.266667i | ||||
\(76\) | −400.000 | −0.603726 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 928.000 | 1.34712 | ||||||||
\(79\) | 80.0000 | + | 138.564i | 0.113933 | + | 0.197338i | 0.917353 | − | 0.398075i | \(-0.130322\pi\) |
−0.803420 | + | 0.595413i | \(0.796988\pi\) | |||||||
\(80\) | −40.0000 | + | 69.2820i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | 179.500 | − | 310.903i | 0.246228 | − | 0.426479i | ||||
\(82\) | 438.000 | + | 758.638i | 0.589866 | + | 1.02168i | ||||
\(83\) | 72.0000 | 0.0952172 | 0.0476086 | − | 0.998866i | \(-0.484840\pi\) | ||||
0.0476086 | + | 0.998866i | \(0.484840\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 330.000 | 0.421100 | ||||||||
\(86\) | −32.0000 | − | 55.4256i | −0.0401238 | − | 0.0694965i | ||||
\(87\) | −360.000 | + | 623.538i | −0.443633 | + | 0.768395i | ||||
\(88\) | −48.0000 | + | 83.1384i | −0.0581456 | + | 0.100711i | ||||
\(89\) | −405.000 | − | 701.481i | −0.482359 | − | 0.835470i | 0.517436 | − | 0.855722i | \(-0.326886\pi\) |
−0.999795 | + | 0.0202521i | \(0.993553\pi\) | |||||||
\(90\) | 370.000 | 0.433349 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 528.000 | 0.598346 | ||||||||
\(93\) | 608.000 | + | 1053.09i | 0.677921 | + | 1.17419i | ||||
\(94\) | 204.000 | − | 353.338i | 0.223840 | − | 0.387703i | ||||
\(95\) | 250.000 | − | 433.013i | 0.269994 | − | 0.467644i | ||||
\(96\) | 128.000 | + | 221.703i | 0.136083 | + | 0.235702i | ||||
\(97\) | 1106.00 | 1.15770 | 0.578852 | − | 0.815433i | \(-0.303501\pi\) | ||||
0.578852 | + | 0.815433i | \(0.303501\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 444.000 | 0.450744 | ||||||||
\(100\) | −50.0000 | − | 86.6025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 129.000 | − | 223.435i | 0.127089 | − | 0.220124i | −0.795459 | − | 0.606008i | \(-0.792770\pi\) |
0.922548 | + | 0.385883i | \(0.126103\pi\) | |||||||
\(102\) | 528.000 | − | 914.523i | 0.512547 | − | 0.887757i | ||||
\(103\) | 494.000 | + | 855.633i | 0.472575 | + | 0.818525i | 0.999507 | − | 0.0313828i | \(-0.00999110\pi\) |
−0.526932 | + | 0.849907i | \(0.676658\pi\) | |||||||
\(104\) | −464.000 | −0.437490 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 444.000 | 0.406840 | ||||||||
\(107\) | 12.0000 | + | 20.7846i | 0.0108419 | + | 0.0187787i | 0.871395 | − | 0.490581i | \(-0.163216\pi\) |
−0.860554 | + | 0.509360i | \(0.829882\pi\) | |||||||
\(108\) | 160.000 | − | 277.128i | 0.142556 | − | 0.246914i | ||||
\(109\) | −475.000 | + | 822.724i | −0.417401 | + | 0.722960i | −0.995677 | − | 0.0928809i | \(-0.970392\pi\) |
0.578276 | + | 0.815841i | \(0.303726\pi\) | |||||||
\(110\) | −60.0000 | − | 103.923i | −0.0520071 | − | 0.0900789i | ||||
\(111\) | 272.000 | 0.232586 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1038.00 | −0.864131 | −0.432066 | − | 0.901842i | \(-0.642215\pi\) | ||||
−0.432066 | + | 0.901842i | \(0.642215\pi\) | |||||||
\(114\) | −800.000 | − | 1385.64i | −0.657253 | − | 1.13840i | ||||
\(115\) | −330.000 | + | 571.577i | −0.267588 | + | 0.463477i | ||||
\(116\) | 180.000 | − | 311.769i | 0.144074 | − | 0.249543i | ||||
\(117\) | 1073.00 | + | 1858.49i | 0.847854 | + | 1.46853i | ||||
\(118\) | 840.000 | 0.655324 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −320.000 | −0.243432 | ||||||||
\(121\) | 593.500 | + | 1027.97i | 0.445905 | + | 0.772331i | ||||
\(122\) | −902.000 | + | 1562.31i | −0.669371 | + | 1.15938i | ||||
\(123\) | −1752.00 | + | 3034.55i | −1.28433 | + | 2.22452i | ||||
\(124\) | −304.000 | − | 526.543i | −0.220161 | − | 0.381331i | ||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −124.000 | −0.0866395 | −0.0433198 | − | 0.999061i | \(-0.513793\pi\) | ||||
−0.0433198 | + | 0.999061i | \(0.513793\pi\) | |||||||
\(128\) | −64.0000 | − | 110.851i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 128.000 | − | 221.703i | 0.0873626 | − | 0.151316i | ||||
\(130\) | 290.000 | − | 502.295i | 0.195651 | − | 0.338878i | ||||
\(131\) | −66.0000 | − | 114.315i | −0.0440187 | − | 0.0762426i | 0.843177 | − | 0.537637i | \(-0.180683\pi\) |
−0.887195 | + | 0.461394i | \(0.847349\pi\) | |||||||
\(132\) | −384.000 | −0.253204 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −2048.00 | −1.32030 | ||||||||
\(135\) | 200.000 | + | 346.410i | 0.127506 | + | 0.220846i | ||||
\(136\) | −264.000 | + | 457.261i | −0.166455 | + | 0.288308i | ||||
\(137\) | 627.000 | − | 1086.00i | 0.391009 | − | 0.677247i | −0.601574 | − | 0.798817i | \(-0.705459\pi\) |
0.992583 | + | 0.121570i | \(0.0387928\pi\) | |||||||
\(138\) | 1056.00 | + | 1829.05i | 0.651396 | + | 1.12825i | ||||
\(139\) | −2860.00 | −1.74519 | −0.872597 | − | 0.488440i | \(-0.837566\pi\) | ||||
−0.872597 | + | 0.488440i | \(0.837566\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1632.00 | 0.974746 | ||||||||
\(142\) | −432.000 | − | 748.246i | −0.255300 | − | 0.442193i | ||||
\(143\) | 348.000 | − | 602.754i | 0.203505 | − | 0.352481i | ||||
\(144\) | −296.000 | + | 512.687i | −0.171296 | + | 0.296694i | ||||
\(145\) | 225.000 | + | 389.711i | 0.128864 | + | 0.223198i | ||||
\(146\) | 724.000 | 0.410402 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −136.000 | −0.0755347 | ||||||||
\(149\) | −375.000 | − | 649.519i | −0.206183 | − | 0.357119i | 0.744326 | − | 0.667816i | \(-0.232771\pi\) |
−0.950509 | + | 0.310697i | \(0.899437\pi\) | |||||||
\(150\) | 200.000 | − | 346.410i | 0.108866 | − | 0.188562i | ||||
\(151\) | 224.000 | − | 387.979i | 0.120721 | − | 0.209095i | −0.799331 | − | 0.600891i | \(-0.794813\pi\) |
0.920052 | + | 0.391796i | \(0.128146\pi\) | |||||||
\(152\) | 400.000 | + | 692.820i | 0.213449 | + | 0.369705i | ||||
\(153\) | 2442.00 | 1.29035 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 760.000 | 0.393837 | ||||||||
\(156\) | −928.000 | − | 1607.34i | −0.476279 | − | 0.824939i | ||||
\(157\) | −1123.00 | + | 1945.09i | −0.570861 | + | 0.988760i | 0.425617 | + | 0.904903i | \(0.360057\pi\) |
−0.996478 | + | 0.0838566i | \(0.973276\pi\) | |||||||
\(158\) | 160.000 | − | 277.128i | 0.0805628 | − | 0.139539i | ||||
\(159\) | 888.000 | + | 1538.06i | 0.442912 | + | 0.767146i | ||||
\(160\) | 160.000 | 0.0790569 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −718.000 | −0.348219 | ||||||||
\(163\) | 284.000 | + | 491.902i | 0.136470 | + | 0.236373i | 0.926158 | − | 0.377136i | \(-0.123091\pi\) |
−0.789688 | + | 0.613509i | \(0.789758\pi\) | |||||||
\(164\) | 876.000 | − | 1517.28i | 0.417098 | − | 0.722435i | ||||
\(165\) | 240.000 | − | 415.692i | 0.113236 | − | 0.196131i | ||||
\(166\) | −72.0000 | − | 124.708i | −0.0336644 | − | 0.0583084i | ||||
\(167\) | −1524.00 | −0.706172 | −0.353086 | − | 0.935591i | \(-0.614868\pi\) | ||||
−0.353086 | + | 0.935591i | \(0.614868\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1167.00 | 0.531179 | ||||||||
\(170\) | −330.000 | − | 571.577i | −0.148881 | − | 0.257870i | ||||
\(171\) | 1850.00 | − | 3204.29i | 0.827328 | − | 1.43297i | ||||
\(172\) | −64.0000 | + | 110.851i | −0.0283718 | + | 0.0491414i | ||||
\(173\) | −1851.00 | − | 3206.03i | −0.813462 | − | 1.40896i | −0.910427 | − | 0.413670i | \(-0.864247\pi\) |
0.0969650 | − | 0.995288i | \(-0.469086\pi\) | |||||||
\(174\) | 1440.00 | 0.627391 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 192.000 | 0.0822304 | ||||||||
\(177\) | 1680.00 | + | 2909.85i | 0.713427 | + | 1.23569i | ||||
\(178\) | −810.000 | + | 1402.96i | −0.341079 | + | 0.590766i | ||||
\(179\) | −1590.00 | + | 2753.96i | −0.663923 | + | 1.14995i | 0.315653 | + | 0.948875i | \(0.397776\pi\) |
−0.979576 | + | 0.201073i | \(0.935557\pi\) | |||||||
\(180\) | −370.000 | − | 640.859i | −0.153212 | − | 0.265371i | ||||
\(181\) | −2098.00 | −0.861564 | −0.430782 | − | 0.902456i | \(-0.641762\pi\) | ||||
−0.430782 | + | 0.902456i | \(0.641762\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7216.00 | −2.91487 | ||||||||
\(184\) | −528.000 | − | 914.523i | −0.211547 | − | 0.366410i | ||||
\(185\) | 85.0000 | − | 147.224i | 0.0337801 | − | 0.0585089i | ||||
\(186\) | 1216.00 | − | 2106.17i | 0.479363 | − | 0.830280i | ||||
\(187\) | −396.000 | − | 685.892i | −0.154858 | − | 0.268221i | ||||
\(188\) | −816.000 | −0.316558 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1000.00 | −0.381830 | ||||||||
\(191\) | −2196.00 | − | 3803.58i | −0.831921 | − | 1.44093i | −0.896513 | − | 0.443018i | \(-0.853908\pi\) |
0.0645912 | − | 0.997912i | \(-0.479426\pi\) | |||||||
\(192\) | 256.000 | − | 443.405i | 0.0962250 | − | 0.166667i | ||||
\(193\) | 1079.00 | − | 1868.88i | 0.402425 | − | 0.697021i | −0.591593 | − | 0.806237i | \(-0.701501\pi\) |
0.994018 | + | 0.109216i | \(0.0348339\pi\) | |||||||
\(194\) | −1106.00 | − | 1915.65i | −0.409310 | − | 0.708946i | ||||
\(195\) | 2320.00 | 0.851993 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1074.00 | −0.388423 | −0.194212 | − | 0.980960i | \(-0.562215\pi\) | ||||
−0.194212 | + | 0.980960i | \(0.562215\pi\) | |||||||
\(198\) | −444.000 | − | 769.031i | −0.159362 | − | 0.276023i | ||||
\(199\) | −1420.00 | + | 2459.51i | −0.505835 | + | 0.876132i | 0.494142 | + | 0.869381i | \(0.335482\pi\) |
−0.999977 | + | 0.00675064i | \(0.997851\pi\) | |||||||
\(200\) | −100.000 | + | 173.205i | −0.0353553 | + | 0.0612372i | ||||
\(201\) | −4096.00 | − | 7094.48i | −1.43736 | − | 2.48958i | ||||
\(202\) | −516.000 | −0.179731 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −2112.00 | −0.724851 | ||||||||
\(205\) | 1095.00 | + | 1896.60i | 0.373064 | + | 0.646166i | ||||
\(206\) | 988.000 | − | 1711.27i | 0.334161 | − | 0.578784i | ||||
\(207\) | −2442.00 | + | 4229.67i | −0.819955 | + | 1.42020i | ||||
\(208\) | 464.000 | + | 803.672i | 0.154676 | + | 0.267907i | ||||
\(209\) | −1200.00 | −0.397157 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2668.00 | −0.870487 | −0.435243 | − | 0.900313i | \(-0.643338\pi\) | ||||
−0.435243 | + | 0.900313i | \(0.643338\pi\) | |||||||
\(212\) | −444.000 | − | 769.031i | −0.143840 | − | 0.249138i | ||||
\(213\) | 1728.00 | − | 2992.98i | 0.555871 | − | 0.962798i | ||||
\(214\) | 24.0000 | − | 41.5692i | 0.00766638 | − | 0.0132786i | ||||
\(215\) | −80.0000 | − | 138.564i | −0.0253765 | − | 0.0439534i | ||||
\(216\) | −640.000 | −0.201604 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 1900.00 | 0.590295 | ||||||||
\(219\) | 1448.00 | + | 2508.01i | 0.446789 | + | 0.773861i | ||||
\(220\) | −120.000 | + | 207.846i | −0.0367745 | + | 0.0636954i | ||||
\(221\) | 1914.00 | − | 3315.15i | 0.582577 | − | 1.00905i | ||||
\(222\) | −272.000 | − | 471.118i | −0.0822317 | − | 0.142430i | ||||
\(223\) | 1772.00 | 0.532116 | 0.266058 | − | 0.963957i | \(-0.414279\pi\) | ||||
0.266058 | + | 0.963957i | \(0.414279\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 925.000 | 0.274074 | ||||||||
\(226\) | 1038.00 | + | 1797.87i | 0.305517 | + | 0.529170i | ||||
\(227\) | 1392.00 | − | 2411.01i | 0.407006 | − | 0.704954i | −0.587547 | − | 0.809190i | \(-0.699906\pi\) |
0.994553 | + | 0.104236i | \(0.0332396\pi\) | |||||||
\(228\) | −1600.00 | + | 2771.28i | −0.464748 | + | 0.804967i | ||||
\(229\) | −175.000 | − | 303.109i | −0.0504992 | − | 0.0874672i | 0.839671 | − | 0.543096i | \(-0.182748\pi\) |
−0.890170 | + | 0.455628i | \(0.849415\pi\) | |||||||
\(230\) | 1320.00 | 0.378427 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −720.000 | −0.203751 | ||||||||
\(233\) | −981.000 | − | 1699.14i | −0.275826 | − | 0.477745i | 0.694517 | − | 0.719476i | \(-0.255618\pi\) |
−0.970343 | + | 0.241732i | \(0.922285\pi\) | |||||||
\(234\) | 2146.00 | − | 3716.98i | 0.599523 | − | 1.03840i | ||||
\(235\) | 510.000 | − | 883.346i | 0.141569 | − | 0.245205i | ||||
\(236\) | −840.000 | − | 1454.92i | −0.231692 | − | 0.401303i | ||||
\(237\) | 1280.00 | 0.350823 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4320.00 | −1.16919 | −0.584597 | − | 0.811324i | \(-0.698748\pi\) | ||||
−0.584597 | + | 0.811324i | \(0.698748\pi\) | |||||||
\(240\) | 320.000 | + | 554.256i | 0.0860663 | + | 0.149071i | ||||
\(241\) | 239.000 | − | 413.960i | 0.0638811 | − | 0.110645i | −0.832316 | − | 0.554301i | \(-0.812985\pi\) |
0.896197 | + | 0.443656i | \(0.146319\pi\) | |||||||
\(242\) | 1187.00 | − | 2055.94i | 0.315303 | − | 0.546120i | ||||
\(243\) | −2516.00 | − | 4357.84i | −0.664204 | − | 1.15043i | ||||
\(244\) | 3608.00 | 0.946633 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7008.00 | 1.81632 | ||||||||
\(247\) | −2900.00 | − | 5022.95i | −0.747055 | − | 1.29394i | ||||
\(248\) | −608.000 | + | 1053.09i | −0.155678 | + | 0.269641i | ||||
\(249\) | 288.000 | − | 498.831i | 0.0732982 | − | 0.126956i | ||||
\(250\) | −125.000 | − | 216.506i | −0.0316228 | − | 0.0547723i | ||||
\(251\) | 2652.00 | 0.666903 | 0.333452 | − | 0.942767i | \(-0.391787\pi\) | ||||
0.333452 | + | 0.942767i | \(0.391787\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1584.00 | 0.393617 | ||||||||
\(254\) | 124.000 | + | 214.774i | 0.0306317 | + | 0.0530557i | ||||
\(255\) | 1320.00 | − | 2286.31i | 0.324163 | − | 0.561467i | ||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1167.00 | + | 2021.30i | 0.283251 | + | 0.490605i | 0.972183 | − | 0.234221i | \(-0.0752538\pi\) |
−0.688933 | + | 0.724825i | \(0.741920\pi\) | |||||||
\(258\) | −512.000 | −0.123549 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1160.00 | −0.276693 | ||||||||
\(261\) | 1665.00 | + | 2883.86i | 0.394869 | + | 0.683934i | ||||
\(262\) | −132.000 | + | 228.631i | −0.0311259 | + | 0.0539116i | ||||
\(263\) | 1974.00 | − | 3419.07i | 0.462822 | − | 0.801630i | −0.536279 | − | 0.844041i | \(-0.680170\pi\) |
0.999100 | + | 0.0424106i | \(0.0135038\pi\) | |||||||
\(264\) | 384.000 | + | 665.108i | 0.0895211 | + | 0.155055i | ||||
\(265\) | 1110.00 | 0.257309 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6480.00 | −1.48528 | ||||||||
\(268\) | 2048.00 | + | 3547.24i | 0.466797 | + | 0.808516i | ||||
\(269\) | −795.000 | + | 1376.98i | −0.180193 | + | 0.312104i | −0.941946 | − | 0.335764i | \(-0.891006\pi\) |
0.761753 | + | 0.647868i | \(0.224339\pi\) | |||||||
\(270\) | 400.000 | − | 692.820i | 0.0901601 | − | 0.156162i | ||||
\(271\) | −2476.00 | − | 4288.56i | −0.555005 | − | 0.961296i | −0.997903 | − | 0.0647246i | \(-0.979383\pi\) |
0.442898 | − | 0.896572i | \(-0.353950\pi\) | |||||||
\(272\) | 1056.00 | 0.235402 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2508.00 | −0.552970 | ||||||||
\(275\) | −150.000 | − | 259.808i | −0.0328921 | − | 0.0569709i | ||||
\(276\) | 2112.00 | − | 3658.09i | 0.460607 | − | 0.797794i | ||||
\(277\) | −823.000 | + | 1425.48i | −0.178517 | + | 0.309201i | −0.941373 | − | 0.337368i | \(-0.890463\pi\) |
0.762856 | + | 0.646569i | \(0.223797\pi\) | |||||||
\(278\) | 2860.00 | + | 4953.67i | 0.617019 | + | 1.06871i | ||||
\(279\) | 5624.00 | 1.20681 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1158.00 | −0.245838 | −0.122919 | − | 0.992417i | \(-0.539226\pi\) | ||||
−0.122919 | + | 0.992417i | \(0.539226\pi\) | |||||||
\(282\) | −1632.00 | − | 2826.71i | −0.344625 | − | 0.596908i | ||||
\(283\) | −3496.00 | + | 6055.25i | −0.734331 | + | 1.27190i | 0.220685 | + | 0.975345i | \(0.429171\pi\) |
−0.955016 | + | 0.296553i | \(0.904163\pi\) | |||||||
\(284\) | −864.000 | + | 1496.49i | −0.180525 | + | 0.312678i | ||||
\(285\) | −2000.00 | − | 3464.10i | −0.415683 | − | 0.719985i | ||||
\(286\) | −1392.00 | −0.287800 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1184.00 | 0.242250 | ||||||||
\(289\) | 278.500 | + | 482.376i | 0.0566863 | + | 0.0981836i | ||||
\(290\) | 450.000 | − | 779.423i | 0.0911204 | − | 0.157825i | ||||
\(291\) | 4424.00 | − | 7662.59i | 0.891201 | − | 1.54361i | ||||
\(292\) | −724.000 | − | 1254.00i | −0.145099 | − | 0.251319i | ||||
\(293\) | −258.000 | −0.0514421 | −0.0257210 | − | 0.999669i | \(-0.508188\pi\) | ||||
−0.0257210 | + | 0.999669i | \(0.508188\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2100.00 | 0.414463 | ||||||||
\(296\) | 136.000 | + | 235.559i | 0.0267055 | + | 0.0462553i | ||||
\(297\) | 480.000 | − | 831.384i | 0.0937792 | − | 0.162430i | ||||
\(298\) | −750.000 | + | 1299.04i | −0.145793 | + | 0.252521i | ||||
\(299\) | 3828.00 | + | 6630.29i | 0.740398 | + | 1.28241i | ||||
\(300\) | −800.000 | −0.153960 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −896.000 | −0.170725 | ||||||||
\(303\) | −1032.00 | − | 1787.48i | −0.195666 | − | 0.338904i | ||||
\(304\) | 800.000 | − | 1385.64i | 0.150931 | − | 0.261421i | ||||
\(305\) | −2255.00 | + | 3905.77i | −0.423347 | + | 0.733259i | ||||
\(306\) | −2442.00 | − | 4229.67i | −0.456209 | − | 0.790177i | ||||
\(307\) | −8944.00 | −1.66274 | −0.831370 | − | 0.555720i | \(-0.812443\pi\) | ||||
−0.831370 | + | 0.555720i | \(0.812443\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7904.00 | 1.45515 | ||||||||
\(310\) | −760.000 | − | 1316.36i | −0.139242 | − | 0.241175i | ||||
\(311\) | −696.000 | + | 1205.51i | −0.126902 | + | 0.219801i | −0.922475 | − | 0.386057i | \(-0.873837\pi\) |
0.795573 | + | 0.605858i | \(0.207170\pi\) | |||||||
\(312\) | −1856.00 | + | 3214.69i | −0.336780 | + | 0.583320i | ||||
\(313\) | 2939.00 | + | 5090.50i | 0.530742 | + | 0.919271i | 0.999357 | + | 0.0358688i | \(0.0114198\pi\) |
−0.468615 | + | 0.883403i | \(0.655247\pi\) | |||||||
\(314\) | 4492.00 | 0.807319 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −640.000 | −0.113933 | ||||||||
\(317\) | −5163.00 | − | 8942.58i | −0.914773 | − | 1.58443i | −0.807234 | − | 0.590232i | \(-0.799036\pi\) |
−0.107539 | − | 0.994201i | \(-0.534297\pi\) | |||||||
\(318\) | 1776.00 | − | 3076.12i | 0.313186 | − | 0.542454i | ||||
\(319\) | 540.000 | − | 935.307i | 0.0947780 | − | 0.164160i | ||||
\(320\) | −160.000 | − | 277.128i | −0.0279508 | − | 0.0484123i | ||||
\(321\) | 192.000 | 0.0333844 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6600.00 | −1.13695 | ||||||||
\(324\) | 718.000 | + | 1243.61i | 0.123114 | + | 0.213239i | ||||
\(325\) | 725.000 | − | 1255.74i | 0.123741 | − | 0.214325i | ||||
\(326\) | 568.000 | − | 983.805i | 0.0964988 | − | 0.167141i | ||||
\(327\) | 3800.00 | + | 6581.79i | 0.642631 | + | 1.11307i | ||||
\(328\) | −3504.00 | −0.589866 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −960.000 | −0.160140 | ||||||||
\(331\) | 2114.00 | + | 3661.56i | 0.351045 | + | 0.608028i | 0.986433 | − | 0.164165i | \(-0.0524930\pi\) |
−0.635388 | + | 0.772193i | \(0.719160\pi\) | |||||||
\(332\) | −144.000 | + | 249.415i | −0.0238043 | + | 0.0412303i | ||||
\(333\) | 629.000 | − | 1089.46i | 0.103510 | − | 0.179285i | ||||
\(334\) | 1524.00 | + | 2639.65i | 0.249669 | + | 0.432440i | ||||
\(335\) | −5120.00 | −0.835031 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1106.00 | 0.178776 | 0.0893882 | − | 0.995997i | \(-0.471509\pi\) | ||||
0.0893882 | + | 0.995997i | \(0.471509\pi\) | |||||||
\(338\) | −1167.00 | − | 2021.30i | −0.187800 | − | 0.325279i | ||||
\(339\) | −4152.00 | + | 7191.47i | −0.665209 | + | 1.15217i | ||||
\(340\) | −660.000 | + | 1143.15i | −0.105275 | + | 0.182342i | ||||
\(341\) | −912.000 | − | 1579.63i | −0.144832 | − | 0.250856i | ||||
\(342\) | −7400.00 | −1.17002 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 256.000 | 0.0401238 | ||||||||
\(345\) | 2640.00 | + | 4572.61i | 0.411979 | + | 0.713569i | ||||
\(346\) | −3702.00 | + | 6412.05i | −0.575204 | + | 0.996283i | ||||
\(347\) | −4668.00 | + | 8085.21i | −0.722165 | + | 1.25083i | 0.237965 | + | 0.971274i | \(0.423520\pi\) |
−0.960130 | + | 0.279553i | \(0.909814\pi\) | |||||||
\(348\) | −1440.00 | − | 2494.15i | −0.221816 | − | 0.384197i | ||||
\(349\) | −11770.0 | −1.80525 | −0.902627 | − | 0.430424i | \(-0.858364\pi\) | ||||
−0.902627 | + | 0.430424i | \(0.858364\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4640.00 | 0.705598 | ||||||||
\(352\) | −192.000 | − | 332.554i | −0.0290728 | − | 0.0503556i | ||||
\(353\) | −4161.00 | + | 7207.06i | −0.627387 | + | 1.08667i | 0.360687 | + | 0.932687i | \(0.382542\pi\) |
−0.988074 | + | 0.153980i | \(0.950791\pi\) | |||||||
\(354\) | 3360.00 | − | 5819.69i | 0.504469 | − | 0.873766i | ||||
\(355\) | −1080.00 | − | 1870.61i | −0.161466 | − | 0.279667i | ||||
\(356\) | 3240.00 | 0.482359 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6360.00 | 0.938929 | ||||||||
\(359\) | −5340.00 | − | 9249.15i | −0.785054 | − | 1.35975i | −0.928967 | − | 0.370163i | \(-0.879302\pi\) |
0.143913 | − | 0.989590i | \(-0.454032\pi\) | |||||||
\(360\) | −740.000 | + | 1281.72i | −0.108337 | + | 0.187646i | ||||
\(361\) | −1570.50 | + | 2720.19i | −0.228969 | + | 0.396586i | ||||
\(362\) | 2098.00 | + | 3633.84i | 0.304609 | + | 0.527598i | ||||
\(363\) | 9496.00 | 1.37303 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1810.00 | 0.259561 | ||||||||
\(366\) | 7216.00 | + | 12498.5i | 1.03056 | + | 1.78499i | ||||
\(367\) | 2942.00 | − | 5095.69i | 0.418450 | − | 0.724777i | −0.577334 | − | 0.816508i | \(-0.695907\pi\) |
0.995784 | + | 0.0917316i | \(0.0292402\pi\) | |||||||
\(368\) | −1056.00 | + | 1829.05i | −0.149586 | + | 0.259091i | ||||
\(369\) | 8103.00 | + | 14034.8i | 1.14316 | + | 1.98001i | ||||
\(370\) | −340.000 | −0.0477723 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4864.00 | −0.677921 | ||||||||
\(373\) | 1049.00 | + | 1816.92i | 0.145617 | + | 0.252216i | 0.929603 | − | 0.368562i | \(-0.120150\pi\) |
−0.783986 | + | 0.620779i | \(0.786817\pi\) | |||||||
\(374\) | −792.000 | + | 1371.78i | −0.109501 | + | 0.189661i | ||||
\(375\) | 500.000 | − | 866.025i | 0.0688530 | − | 0.119257i | ||||
\(376\) | 816.000 | + | 1413.35i | 0.111920 | + | 0.193851i | ||||
\(377\) | 5220.00 | 0.713113 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3860.00 | 0.523153 | 0.261576 | − | 0.965183i | \(-0.415758\pi\) | ||||
0.261576 | + | 0.965183i | \(0.415758\pi\) | |||||||
\(380\) | 1000.00 | + | 1732.05i | 0.134997 | + | 0.233822i | ||||
\(381\) | −496.000 | + | 859.097i | −0.0666951 | + | 0.115519i | ||||
\(382\) | −4392.00 | + | 7607.17i | −0.588257 | + | 1.01889i | ||||
\(383\) | 4794.00 | + | 8303.45i | 0.639587 | + | 1.10780i | 0.985523 | + | 0.169540i | \(0.0542281\pi\) |
−0.345936 | + | 0.938258i | \(0.612439\pi\) | |||||||
\(384\) | −1024.00 | −0.136083 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4316.00 | −0.569116 | ||||||||
\(387\) | −592.000 | − | 1025.37i | −0.0777598 | − | 0.134684i | ||||
\(388\) | −2212.00 | + | 3831.30i | −0.289426 | + | 0.501301i | ||||
\(389\) | 6705.00 | − | 11613.4i | 0.873925 | − | 1.51368i | 0.0160224 | − | 0.999872i | \(-0.494900\pi\) |
0.857903 | − | 0.513812i | \(-0.171767\pi\) | |||||||
\(390\) | −2320.00 | − | 4018.36i | −0.301225 | − | 0.521737i | ||||
\(391\) | 8712.00 | 1.12682 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1056.00 | −0.135542 | ||||||||
\(394\) | 1074.00 | + | 1860.22i | 0.137328 | + | 0.237860i | ||||
\(395\) | 400.000 | − | 692.820i | 0.0509524 | − | 0.0882521i | ||||
\(396\) | −888.000 | + | 1538.06i | −0.112686 | + | 0.195178i | ||||
\(397\) | 6557.00 | + | 11357.1i | 0.828933 | + | 1.43575i | 0.898876 | + | 0.438203i | \(0.144385\pi\) |
−0.0699430 | + | 0.997551i | \(0.522282\pi\) | |||||||
\(398\) | 5680.00 | 0.715358 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 400.000 | 0.0500000 | ||||||||
\(401\) | 2919.00 | + | 5055.86i | 0.363511 | + | 0.629619i | 0.988536 | − | 0.150985i | \(-0.0482446\pi\) |
−0.625025 | + | 0.780605i | \(0.714911\pi\) | |||||||
\(402\) | −8192.00 | + | 14189.0i | −1.01637 | + | 1.76040i | ||||
\(403\) | 4408.00 | − | 7634.88i | 0.544859 | − | 0.943723i | ||||
\(404\) | 516.000 | + | 893.738i | 0.0635445 | + | 0.110062i | ||||
\(405\) | −1795.00 | −0.220233 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −408.000 | −0.0496899 | ||||||||
\(408\) | 2112.00 | + | 3658.09i | 0.256273 | + | 0.443879i | ||||
\(409\) | −4765.00 | + | 8253.22i | −0.576074 | + | 0.997789i | 0.419851 | + | 0.907593i | \(0.362082\pi\) |
−0.995924 | + | 0.0901954i | \(0.971251\pi\) | |||||||
\(410\) | 2190.00 | − | 3793.19i | 0.263796 | − | 0.456908i | ||||
\(411\) | −5016.00 | − | 8687.97i | −0.601998 | − | 1.04269i | ||||
\(412\) | −3952.00 | −0.472575 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9768.00 | 1.15959 | ||||||||
\(415\) | −180.000 | − | 311.769i | −0.0212912 | − | 0.0368775i | ||||
\(416\) | 928.000 | − | 1607.34i | 0.109372 | − | 0.189439i | ||||
\(417\) | −11440.0 | + | 19814.7i | −1.34345 | + | 2.32693i | ||||
\(418\) | 1200.00 | + | 2078.46i | 0.140416 | + | 0.243208i | ||||
\(419\) | 7260.00 | 0.846478 | 0.423239 | − | 0.906018i | \(-0.360893\pi\) | ||||
0.423239 | + | 0.906018i | \(0.360893\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12062.0 | 1.39636 | 0.698178 | − | 0.715924i | \(-0.253994\pi\) | ||||
0.698178 | + | 0.715924i | \(0.253994\pi\) | |||||||
\(422\) | 2668.00 | + | 4621.11i | 0.307764 | + | 0.533062i | ||||
\(423\) | 3774.00 | − | 6536.76i | 0.433802 | − | 0.751367i | ||||
\(424\) | −888.000 | + | 1538.06i | −0.101710 | + | 0.176167i | ||||
\(425\) | −825.000 | − | 1428.94i | −0.0941609 | − | 0.163091i | ||||
\(426\) | −6912.00 | −0.786121 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −96.0000 | −0.0108419 | ||||||||
\(429\) | −2784.00 | − | 4822.03i | −0.313317 | − | 0.542680i | ||||
\(430\) | −160.000 | + | 277.128i | −0.0179439 | + | 0.0310798i | ||||
\(431\) | 6804.00 | − | 11784.9i | 0.760411 | − | 1.31707i | −0.182228 | − | 0.983256i | \(-0.558331\pi\) |
0.942639 | − | 0.333814i | \(-0.108336\pi\) | |||||||
\(432\) | 640.000 | + | 1108.51i | 0.0712778 | + | 0.123457i | ||||
\(433\) | −3838.00 | −0.425964 | −0.212982 | − | 0.977056i | \(-0.568318\pi\) | ||||
−0.212982 | + | 0.977056i | \(0.568318\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3600.00 | 0.396797 | ||||||||
\(436\) | −1900.00 | − | 3290.90i | −0.208701 | − | 0.361480i | ||||
\(437\) | 6600.00 | − | 11431.5i | 0.722473 | − | 1.25136i | ||||
\(438\) | 2896.00 | − | 5016.02i | 0.315927 | − | 0.547202i | ||||
\(439\) | −3700.00 | − | 6408.59i | −0.402258 | − | 0.696732i | 0.591740 | − | 0.806129i | \(-0.298441\pi\) |
−0.993998 | + | 0.109397i | \(0.965108\pi\) | |||||||
\(440\) | 480.000 | 0.0520071 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7656.00 | −0.823889 | ||||||||
\(443\) | −4176.00 | − | 7233.04i | −0.447873 | − | 0.775739i | 0.550374 | − | 0.834918i | \(-0.314485\pi\) |
−0.998247 | + | 0.0591792i | \(0.981152\pi\) | |||||||
\(444\) | −544.000 | + | 942.236i | −0.0581466 | + | 0.100713i | ||||
\(445\) | −2025.00 | + | 3507.40i | −0.215717 | + | 0.373633i | ||||
\(446\) | −1772.00 | − | 3069.19i | −0.188131 | − | 0.325853i | ||||
\(447\) | −6000.00 | −0.634878 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10770.0 | 1.13200 | 0.566000 | − | 0.824405i | \(-0.308490\pi\) | ||||
0.566000 | + | 0.824405i | \(0.308490\pi\) | |||||||
\(450\) | −925.000 | − | 1602.15i | −0.0968998 | − | 0.167835i | ||||
\(451\) | 2628.00 | − | 4551.83i | 0.274385 | − | 0.475249i | ||||
\(452\) | 2076.00 | − | 3595.74i | 0.216033 | − | 0.374180i | ||||
\(453\) | −1792.00 | − | 3103.84i | −0.185862 | − | 0.321922i | ||||
\(454\) | −5568.00 | −0.575593 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6400.00 | 0.657253 | ||||||||
\(457\) | 3347.00 | + | 5797.17i | 0.342595 | + | 0.593392i | 0.984914 | − | 0.173045i | \(-0.0553607\pi\) |
−0.642319 | + | 0.766438i | \(0.722027\pi\) | |||||||
\(458\) | −350.000 | + | 606.218i | −0.0357084 | + | 0.0618487i | ||||
\(459\) | 2640.00 | − | 4572.61i | 0.268463 | − | 0.464992i | ||||
\(460\) | −1320.00 | − | 2286.31i | −0.133794 | − | 0.231738i | ||||
\(461\) | −3018.00 | −0.304907 | −0.152454 | − | 0.988311i | \(-0.548717\pi\) | ||||
−0.152454 | + | 0.988311i | \(0.548717\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14492.0 | 1.45464 | 0.727322 | − | 0.686296i | \(-0.240765\pi\) | ||||
0.727322 | + | 0.686296i | \(0.240765\pi\) | |||||||
\(464\) | 720.000 | + | 1247.08i | 0.0720370 | + | 0.124772i | ||||
\(465\) | 3040.00 | − | 5265.43i | 0.303176 | − | 0.525115i | ||||
\(466\) | −1962.00 | + | 3398.28i | −0.195038 | + | 0.337816i | ||||
\(467\) | −3888.00 | − | 6734.21i | −0.385257 | − | 0.667285i | 0.606548 | − | 0.795047i | \(-0.292554\pi\) |
−0.991805 | + | 0.127762i | \(0.959221\pi\) | |||||||
\(468\) | −8584.00 | −0.847854 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −2040.00 | −0.200209 | ||||||||
\(471\) | 8984.00 | + | 15560.7i | 0.878898 | + | 1.52230i | ||||
\(472\) | −1680.00 | + | 2909.85i | −0.163831 | + | 0.283764i | ||||
\(473\) | −192.000 | + | 332.554i | −0.0186642 | + | 0.0323274i | ||||
\(474\) | −1280.00 | − | 2217.03i | −0.124034 | − | 0.214834i | ||||
\(475\) | −2500.00 | −0.241490 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8214.00 | 0.788455 | ||||||||
\(478\) | 4320.00 | + | 7482.46i | 0.413373 | + | 0.715983i | ||||
\(479\) | 6840.00 | − | 11847.2i | 0.652458 | − | 1.13009i | −0.330066 | − | 0.943958i | \(-0.607071\pi\) |
0.982525 | − | 0.186133i | \(-0.0595956\pi\) | |||||||
\(480\) | 640.000 | − | 1108.51i | 0.0608581 | − | 0.105409i | ||||
\(481\) | −986.000 | − | 1707.80i | −0.0934672 | − | 0.161890i | ||||
\(482\) | −956.000 | −0.0903415 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4748.00 | −0.445905 | ||||||||
\(485\) | −2765.00 | − | 4789.12i | −0.258870 | − | 0.448377i | ||||
\(486\) | −5032.00 | + | 8715.68i | −0.469663 | + | 0.813480i | ||||
\(487\) | −3958.00 | + | 6855.46i | −0.368284 | + | 0.637886i | −0.989297 | − | 0.145914i | \(-0.953388\pi\) |
0.621014 | + | 0.783800i | \(0.286721\pi\) | |||||||
\(488\) | −3608.00 | − | 6249.24i | −0.334685 | − | 0.579692i | ||||
\(489\) | 4544.00 | 0.420218 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13932.0 | 1.28053 | 0.640267 | − | 0.768152i | \(-0.278824\pi\) | ||||
0.640267 | + | 0.768152i | \(0.278824\pi\) | |||||||
\(492\) | −7008.00 | − | 12138.2i | −0.642165 | − | 1.11226i | ||||
\(493\) | 2970.00 | − | 5144.19i | 0.271323 | − | 0.469945i | ||||
\(494\) | −5800.00 | + | 10045.9i | −0.528248 | + | 0.914952i | ||||
\(495\) | −1110.00 | − | 1922.58i | −0.100789 | − | 0.174572i | ||||
\(496\) | 2432.00 | 0.220161 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1152.00 | −0.103659 | ||||||||
\(499\) | 4130.00 | + | 7153.37i | 0.370509 | + | 0.641741i | 0.989644 | − | 0.143544i | \(-0.0458498\pi\) |
−0.619135 | + | 0.785285i | \(0.712516\pi\) | |||||||
\(500\) | −250.000 | + | 433.013i | −0.0223607 | + | 0.0387298i | ||||
\(501\) | −6096.00 | + | 10558.6i | −0.543611 | + | 0.941562i | ||||
\(502\) | −2652.00 | − | 4593.40i | −0.235786 | − | 0.408393i | ||||
\(503\) | −11148.0 | −0.988200 | −0.494100 | − | 0.869405i | \(-0.664502\pi\) | ||||
−0.494100 | + | 0.869405i | \(0.664502\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1290.00 | −0.113672 | ||||||||
\(506\) | −1584.00 | − | 2743.57i | −0.139165 | − | 0.241041i | ||||
\(507\) | 4668.00 | − | 8085.21i | 0.408902 | − | 0.708239i | ||||
\(508\) | 248.000 | − | 429.549i | 0.0216599 | − | 0.0375160i | ||||
\(509\) | 4845.00 | + | 8391.79i | 0.421907 | + | 0.730765i | 0.996126 | − | 0.0879370i | \(-0.0280274\pi\) |
−0.574219 | + | 0.818702i | \(0.694694\pi\) | |||||||
\(510\) | −5280.00 | −0.458436 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | −4000.00 | − | 6928.20i | −0.344258 | − | 0.596272i | ||||
\(514\) | 2334.00 | − | 4042.61i | 0.200289 | − | 0.346910i | ||||
\(515\) | 2470.00 | − | 4278.17i | 0.211342 | − | 0.366055i | ||||
\(516\) | 512.000 | + | 886.810i | 0.0436813 | + | 0.0756582i | ||||
\(517\) | −2448.00 | −0.208245 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −29616.0 | −2.50481 | ||||||||
\(520\) | 1160.00 | + | 2009.18i | 0.0978257 | + | 0.169439i | ||||
\(521\) | 8019.00 | − | 13889.3i | 0.674316 | − | 1.16795i | −0.302352 | − | 0.953196i | \(-0.597772\pi\) |
0.976668 | − | 0.214754i | \(-0.0688949\pi\) | |||||||
\(522\) | 3330.00 | − | 5767.73i | 0.279215 | − | 0.483614i | ||||
\(523\) | −496.000 | − | 859.097i | −0.0414695 | − | 0.0718273i | 0.844546 | − | 0.535484i | \(-0.179871\pi\) |
−0.886015 | + | 0.463656i | \(0.846537\pi\) | |||||||
\(524\) | 528.000 | 0.0440187 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7896.00 | −0.654528 | ||||||||
\(527\) | −5016.00 | − | 8687.97i | −0.414612 | − | 0.718129i | ||||
\(528\) | 768.000 | − | 1330.22i | 0.0633010 | − | 0.109640i | ||||
\(529\) | −2628.50 | + | 4552.70i | −0.216035 | + | 0.374184i | ||||
\(530\) | −1110.00 | − | 1922.58i | −0.0909723 | − | 0.157569i | ||||
\(531\) | 15540.0 | 1.27002 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25404.0 | 2.06448 | ||||||||
\(534\) | 6480.00 | + | 11223.7i | 0.525126 | + | 0.909544i | ||||
\(535\) | 60.0000 | − | 103.923i | 0.00484865 | − | 0.00839810i | ||||
\(536\) | 4096.00 | − | 7094.48i | 0.330075 | − | 0.571707i | ||||
\(537\) | 12720.0 | + | 22031.7i | 1.02218 | + | 1.77046i | ||||
\(538\) | 3180.00 | 0.254832 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1600.00 | −0.127506 | ||||||||
\(541\) | −3571.00 | − | 6185.15i | −0.283788 | − | 0.491535i | 0.688527 | − | 0.725211i | \(-0.258258\pi\) |
−0.972315 | + | 0.233676i | \(0.924925\pi\) | |||||||
\(542\) | −4952.00 | + | 8577.12i | −0.392448 | + | 0.679739i | ||||
\(543\) | −8392.00 | + | 14535.4i | −0.663232 | + | 1.14875i | ||||
\(544\) | −1056.00 | − | 1829.05i | −0.0832273 | − | 0.144154i | ||||
\(545\) | 4750.00 | 0.373335 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7616.00 | 0.595314 | 0.297657 | − | 0.954673i | \(-0.403795\pi\) | ||||
0.297657 | + | 0.954673i | \(0.403795\pi\) | |||||||
\(548\) | 2508.00 | + | 4343.98i | 0.195504 | + | 0.338624i | ||||
\(549\) | −16687.0 | + | 28902.7i | −1.29724 | + | 2.24688i | ||||
\(550\) | −300.000 | + | 519.615i | −0.0232583 | + | 0.0402845i | ||||
\(551\) | −4500.00 | − | 7794.23i | −0.347925 | − | 0.602623i | ||||
\(552\) | −8448.00 | −0.651396 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3292.00 | 0.252462 | ||||||||
\(555\) | −680.000 | − | 1177.79i | −0.0520079 | − | 0.0900804i | ||||
\(556\) | 5720.00 | − | 9907.33i | 0.436299 | − | 0.755691i | ||||
\(557\) | 5157.00 | − | 8932.19i | 0.392296 | − | 0.679477i | −0.600456 | − | 0.799658i | \(-0.705014\pi\) |
0.992752 | + | 0.120181i | \(0.0383474\pi\) | |||||||
\(558\) | −5624.00 | − | 9741.05i | −0.426672 | − | 0.739017i | ||||
\(559\) | −1856.00 | −0.140430 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6336.00 | −0.476838 | ||||||||
\(562\) | 1158.00 | + | 2005.71i | 0.0869169 | + | 0.150544i | ||||
\(563\) | 3564.00 | − | 6173.03i | 0.266793 | − | 0.462100i | −0.701239 | − | 0.712927i | \(-0.747369\pi\) |
0.968032 | + | 0.250827i | \(0.0807025\pi\) | |||||||
\(564\) | −3264.00 | + | 5653.41i | −0.243687 | + | 0.422077i | ||||
\(565\) | 2595.00 | + | 4494.67i | 0.193226 | + | 0.334677i | ||||
\(566\) | 13984.0 | 1.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3456.00 | 0.255300 | ||||||||
\(569\) | −1005.00 | − | 1740.71i | −0.0740453 | − | 0.128250i | 0.826625 | − | 0.562753i | \(-0.190258\pi\) |
−0.900671 | + | 0.434502i | \(0.856924\pi\) | |||||||
\(570\) | −4000.00 | + | 6928.20i | −0.293933 | + | 0.509106i | ||||
\(571\) | 11594.0 | − | 20081.4i | 0.849726 | − | 1.47177i | −0.0317260 | − | 0.999497i | \(-0.510100\pi\) |
0.881452 | − | 0.472273i | \(-0.156566\pi\) | |||||||
\(572\) | 1392.00 | + | 2411.01i | 0.101753 | + | 0.176241i | ||||
\(573\) | −35136.0 | −2.56165 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3300.00 | 0.239338 | ||||||||
\(576\) | −1184.00 | − | 2050.75i | −0.0856481 | − | 0.148347i | ||||
\(577\) | −11233.0 | + | 19456.1i | −0.810461 | + | 1.40376i | 0.102081 | + | 0.994776i | \(0.467450\pi\) |
−0.912542 | + | 0.408983i | \(0.865883\pi\) | |||||||
\(578\) | 557.000 | − | 964.752i | 0.0400833 | − | 0.0694263i | ||||
\(579\) | −8632.00 | − | 14951.1i | −0.619575 | − | 1.07313i | ||||
\(580\) | −1800.00 | −0.128864 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −17696.0 | −1.26035 | ||||||||
\(583\) | −1332.00 | − | 2307.09i | −0.0946240 | − | 0.163894i | ||||
\(584\) | −1448.00 | + | 2508.01i | −0.102600 | + | 0.177709i | ||||
\(585\) | 5365.00 | − | 9292.45i | 0.379172 | − | 0.656745i | ||||
\(586\) | 258.000 | + | 446.869i | 0.0181875 | + | 0.0315017i | ||||
\(587\) | 22776.0 | 1.60148 | 0.800738 | − | 0.599015i | \(-0.204441\pi\) | ||||
0.800738 | + | 0.599015i | \(0.204441\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15200.0 | −1.06334 | ||||||||
\(590\) | −2100.00 | − | 3637.31i | −0.146535 | − | 0.253806i | ||||
\(591\) | −4296.00 | + | 7440.89i | −0.299008 | + | 0.517897i | ||||
\(592\) | 272.000 | − | 471.118i | 0.0188837 | − | 0.0327075i | ||||
\(593\) | 10599.0 | + | 18358.0i | 0.733978 | + | 1.27129i | 0.955170 | + | 0.296057i | \(0.0956717\pi\) |
−0.221193 | + | 0.975230i | \(0.570995\pi\) | |||||||
\(594\) | −1920.00 | −0.132624 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3000.00 | 0.206183 | ||||||||
\(597\) | 11360.0 | + | 19676.1i | 0.778784 | + | 1.34889i | ||||
\(598\) | 7656.00 | − | 13260.6i | 0.523540 | − | 0.906798i | ||||
\(599\) | −7980.00 | + | 13821.8i | −0.544330 | + | 0.942808i | 0.454318 | + | 0.890839i | \(0.349883\pi\) |
−0.998649 | + | 0.0519686i | \(0.983450\pi\) | |||||||
\(600\) | 800.000 | + | 1385.64i | 0.0544331 | + | 0.0942809i | ||||
\(601\) | 5882.00 | 0.399221 | 0.199610 | − | 0.979875i | \(-0.436032\pi\) | ||||
0.199610 | + | 0.979875i | \(0.436032\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −37888.0 | −2.55874 | ||||||||
\(604\) | 896.000 | + | 1551.92i | 0.0603605 | + | 0.104547i | ||||
\(605\) | 2967.50 | − | 5139.86i | 0.199415 | − | 0.345397i | ||||
\(606\) | −2064.00 | + | 3574.95i | −0.138357 | + | 0.239641i | ||||
\(607\) | −4258.00 | − | 7375.07i | −0.284723 | − | 0.493155i | 0.687819 | − | 0.725882i | \(-0.258568\pi\) |
−0.972542 | + | 0.232728i | \(0.925235\pi\) | |||||||
\(608\) | −3200.00 | −0.213449 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9020.00 | 0.598703 | ||||||||
\(611\) | −5916.00 | − | 10246.8i | −0.391712 | − | 0.678464i | ||||
\(612\) | −4884.00 | + | 8459.34i | −0.322588 | + | 0.558739i | ||||
\(613\) | −4231.00 | + | 7328.31i | −0.278774 | + | 0.482851i | −0.971080 | − | 0.238753i | \(-0.923261\pi\) |
0.692306 | + | 0.721604i | \(0.256595\pi\) | |||||||
\(614\) | 8944.00 | + | 15491.5i | 0.587867 | + | 1.01822i | ||||
\(615\) | 17520.0 | 1.14874 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11094.0 | −0.723870 | −0.361935 | − | 0.932203i | \(-0.617884\pi\) | ||||
−0.361935 | + | 0.932203i | \(0.617884\pi\) | |||||||
\(618\) | −7904.00 | − | 13690.1i | −0.514475 | − | 0.891097i | ||||
\(619\) | −1090.00 | + | 1887.94i | −0.0707767 | + | 0.122589i | −0.899242 | − | 0.437452i | \(-0.855881\pi\) |
0.828465 | + | 0.560041i | \(0.189214\pi\) | |||||||
\(620\) | −1520.00 | + | 2632.72i | −0.0984591 | + | 0.170536i | ||||
\(621\) | 5280.00 | + | 9145.23i | 0.341190 | + | 0.590959i | ||||
\(622\) | 2784.00 | 0.179467 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7424.00 | 0.476279 | ||||||||
\(625\) | −312.500 | − | 541.266i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 5878.00 | − | 10181.0i | 0.375291 | − | 0.650023i | ||||
\(627\) | −4800.00 | + | 8313.84i | −0.305731 | + | 0.529542i | ||||
\(628\) | −4492.00 | − | 7780.37i | −0.285430 | − | 0.494380i | ||||
\(629\) | −2244.00 | −0.142248 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26848.0 | −1.69382 | −0.846911 | − | 0.531734i | \(-0.821541\pi\) | ||||
−0.846911 | + | 0.531734i | \(0.821541\pi\) | |||||||
\(632\) | 640.000 | + | 1108.51i | 0.0402814 | + | 0.0697694i | ||||
\(633\) | −10672.0 | + | 18484.4i | −0.670101 | + | 1.16065i | ||||
\(634\) | −10326.0 | + | 17885.2i | −0.646842 | + | 1.12036i | ||||
\(635\) | 310.000 | + | 536.936i | 0.0193732 | + | 0.0335553i | ||||
\(636\) | −7104.00 | −0.442912 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −2160.00 | −0.134036 | ||||||||
\(639\) | −7992.00 | − | 13842.6i | −0.494771 | − | 0.856968i | ||||
\(640\) | −320.000 | + | 554.256i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −13161.0 | + | 22795.5i | −0.810965 | + | 1.40463i | 0.101225 | + | 0.994864i | \(0.467724\pi\) |
−0.912190 | + | 0.409768i | \(0.865610\pi\) | |||||||
\(642\) | −192.000 | − | 332.554i | −0.0118032 | − | 0.0204437i | ||||
\(643\) | −10168.0 | −0.623619 | −0.311809 | − | 0.950145i | \(-0.600935\pi\) | ||||
−0.311809 | + | 0.950145i | \(0.600935\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1280.00 | −0.0781395 | ||||||||
\(646\) | 6600.00 | + | 11431.5i | 0.401971 | + | 0.696235i | ||||
\(647\) | 11802.0 | − | 20441.7i | 0.717132 | − | 1.24211i | −0.244999 | − | 0.969523i | \(-0.578788\pi\) |
0.962131 | − | 0.272586i | \(-0.0878789\pi\) | |||||||
\(648\) | 1436.00 | − | 2487.22i | 0.0870546 | − | 0.150783i | ||||
\(649\) | −2520.00 | − | 4364.77i | −0.152417 | − | 0.263994i | ||||
\(650\) | −2900.00 | −0.174996 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2272.00 | −0.136470 | ||||||||
\(653\) | −8211.00 | − | 14221.9i | −0.492069 | − | 0.852289i | 0.507889 | − | 0.861423i | \(-0.330426\pi\) |
−0.999958 | + | 0.00913349i | \(0.997093\pi\) | |||||||
\(654\) | 7600.00 | − | 13163.6i | 0.454409 | − | 0.787060i | ||||
\(655\) | −330.000 | + | 571.577i | −0.0196858 | + | 0.0340967i | ||||
\(656\) | 3504.00 | + | 6069.11i | 0.208549 | + | 0.361218i | ||||
\(657\) | 13394.0 | 0.795357 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −26100.0 | −1.54281 | −0.771405 | − | 0.636345i | \(-0.780446\pi\) | ||||
−0.771405 | + | 0.636345i | \(0.780446\pi\) | |||||||
\(660\) | 960.000 | + | 1662.77i | 0.0566181 | + | 0.0980654i | ||||
\(661\) | 1529.00 | − | 2648.31i | 0.0899716 | − | 0.155835i | −0.817527 | − | 0.575890i | \(-0.804656\pi\) |
0.907499 | + | 0.420055i | \(0.137989\pi\) | |||||||
\(662\) | 4228.00 | − | 7323.11i | 0.248226 | − | 0.429941i | ||||
\(663\) | −15312.0 | − | 26521.2i | −0.896936 | − | 1.55354i | ||||
\(664\) | 576.000 | 0.0336644 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2516.00 | −0.146386 | ||||||||
\(667\) | 5940.00 | + | 10288.4i | 0.344824 | + | 0.597253i | ||||
\(668\) | 3048.00 | − | 5279.29i | 0.176543 | − | 0.305781i | ||||
\(669\) | 7088.00 | − | 12276.8i | 0.409623 | − | 0.709488i | ||||
\(670\) | 5120.00 | + | 8868.10i | 0.295228 | + | 0.511350i | ||||
\(671\) | 10824.0 | 0.622736 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10802.0 | 0.618702 | 0.309351 | − | 0.950948i | \(-0.399888\pi\) | ||||
0.309351 | + | 0.950948i | \(0.399888\pi\) | |||||||
\(674\) | −1106.00 | − | 1915.65i | −0.0632070 | − | 0.109478i | ||||
\(675\) | 1000.00 | − | 1732.05i | 0.0570222 | − | 0.0987654i | ||||
\(676\) | −2334.00 | + | 4042.61i | −0.132795 | + | 0.230007i | ||||
\(677\) | 5337.00 | + | 9243.96i | 0.302980 | + | 0.524777i | 0.976810 | − | 0.214110i | \(-0.0686851\pi\) |
−0.673829 | + | 0.738887i | \(0.735352\pi\) | |||||||
\(678\) | 16608.0 | 0.940747 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2640.00 | 0.148881 | ||||||||
\(681\) | −11136.0 | − | 19288.1i | −0.626626 | − | 1.08535i | ||||
\(682\) | −1824.00 | + | 3159.26i | −0.102411 | + | 0.177382i | ||||
\(683\) | 14304.0 | − | 24775.3i | 0.801358 | − | 1.38799i | −0.117365 | − | 0.993089i | \(-0.537445\pi\) |
0.918723 | − | 0.394903i | \(-0.129222\pi\) | |||||||
\(684\) | 7400.00 | + | 12817.2i | 0.413664 | + | 0.716487i | ||||
\(685\) | −6270.00 | −0.349729 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2800.00 | −0.155497 | ||||||||
\(688\) | −256.000 | − | 443.405i | −0.0141859 | − | 0.0245707i | ||||
\(689\) | 6438.00 | − | 11150.9i | 0.355977 | − | 0.616571i | ||||
\(690\) | 5280.00 | − | 9145.23i | 0.291313 | − | 0.504569i | ||||
\(691\) | 1214.00 | + | 2102.71i | 0.0668346 | + | 0.115761i | 0.897506 | − | 0.441002i | \(-0.145377\pi\) |
−0.830672 | + | 0.556763i | \(0.812043\pi\) | |||||||
\(692\) | 14808.0 | 0.813462 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18672.0 | 1.02130 | ||||||||
\(695\) | 7150.00 | + | 12384.2i | 0.390237 | + | 0.675911i | ||||
\(696\) | −2880.00 | + | 4988.31i | −0.156848 | + | 0.271668i | ||||
\(697\) | 14454.0 | − | 25035.1i | 0.785487 | − | 1.36050i | ||||
\(698\) | 11770.0 | + | 20386.2i | 0.638254 | + | 1.10549i | ||||
\(699\) | −15696.0 | −0.849324 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6618.00 | −0.356574 | −0.178287 | − | 0.983979i | \(-0.557056\pi\) | ||||
−0.178287 | + | 0.983979i | \(0.557056\pi\) | |||||||
\(702\) | −4640.00 | − | 8036.72i | −0.249467 | − | 0.432089i | ||||
\(703\) | −1700.00 | + | 2944.49i | −0.0912044 | + | 0.157971i | ||||
\(704\) | −384.000 | + | 665.108i | −0.0205576 | + | 0.0356068i | ||||
\(705\) | −4080.00 | − | 7066.77i | −0.217960 | − | 0.377518i | ||||
\(706\) | 16644.0 | 0.887259 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −13440.0 | −0.713427 | ||||||||
\(709\) | −10255.0 | − | 17762.2i | −0.543208 | − | 0.940864i | −0.998717 | − | 0.0506331i | \(-0.983876\pi\) |
0.455509 | − | 0.890231i | \(-0.349457\pi\) | |||||||
\(710\) | −2160.00 | + | 3741.23i | −0.114174 | + | 0.197755i | ||||
\(711\) | 2960.00 | − | 5126.87i | 0.156130 | − | 0.270426i | ||||
\(712\) | −3240.00 | − | 5611.84i | −0.170540 | − | 0.295383i | ||||
\(713\) | 20064.0 | 1.05386 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3480.00 | −0.182020 | ||||||||
\(716\) | −6360.00 | − | 11015.8i | −0.331961 | − | 0.574974i | ||||
\(717\) | −17280.0 | + | 29929.8i | −0.900047 | + | 1.55893i | ||||
\(718\) | −10680.0 | + | 18498.3i | −0.555117 | + | 0.961491i | ||||
\(719\) | −15840.0 | − | 27435.7i | −0.821603 | − | 1.42306i | −0.904488 | − | 0.426498i | \(-0.859747\pi\) |
0.0828856 | − | 0.996559i | \(-0.473586\pi\) | |||||||
\(720\) | 2960.00 | 0.153212 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 6282.00 | 0.323811 | ||||||||
\(723\) | −1912.00 | − | 3311.68i | −0.0983514 | − | 0.170350i | ||||
\(724\) | 4196.00 | − | 7267.69i | 0.215391 | − | 0.373068i | ||||
\(725\) | 1125.00 | − | 1948.56i | 0.0576296 | − | 0.0998174i | ||||
\(726\) | −9496.00 | − | 16447.6i | −0.485440 | − | 0.840807i | ||||
\(727\) | 13196.0 | 0.673195 | 0.336597 | − | 0.941649i | \(-0.390724\pi\) | ||||
0.336597 | + | 0.941649i | \(0.390724\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −30563.0 | −1.55276 | ||||||||
\(730\) | −1810.00 | − | 3135.01i | −0.0917686 | − | 0.158948i | ||||
\(731\) | −1056.00 | + | 1829.05i | −0.0534303 | + | 0.0925440i | ||||
\(732\) | 14432.0 | − | 24997.0i | 0.728719 | − | 1.26218i | ||||
\(733\) | −4051.00 | − | 7016.54i | −0.204130 | − | 0.353563i | 0.745725 | − | 0.666253i | \(-0.232103\pi\) |
−0.949855 | + | 0.312690i | \(0.898770\pi\) | |||||||
\(734\) | −11768.0 | −0.591778 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4224.00 | 0.211547 | ||||||||
\(737\) | 6144.00 | + | 10641.7i | 0.307079 | + | 0.531876i | ||||
\(738\) | 16206.0 | − | 28069.6i | 0.808335 | − | 1.40008i | ||||
\(739\) | 6290.00 | − | 10894.6i | 0.313101 | − | 0.542306i | −0.665931 | − | 0.746013i | \(-0.731966\pi\) |
0.979032 | + | 0.203707i | \(0.0652989\pi\) | |||||||
\(740\) | 340.000 | + | 588.897i | 0.0168901 | + | 0.0292545i | ||||
\(741\) | −46400.0 | −2.30033 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29892.0 | 1.47595 | 0.737975 | − | 0.674828i | \(-0.235782\pi\) | ||||
0.737975 | + | 0.674828i | \(0.235782\pi\) | |||||||
\(744\) | 4864.00 | + | 8424.70i | 0.239681 | + | 0.415140i | ||||
\(745\) | −1875.00 | + | 3247.60i | −0.0922076 | + | 0.159708i | ||||
\(746\) | 2098.00 | − | 3633.84i | 0.102967 | − | 0.178344i | ||||
\(747\) | −1332.00 | − | 2307.09i | −0.0652414 | − | 0.113001i | ||||
\(748\) | 3168.00 | 0.154858 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −2000.00 | −0.0973729 | ||||||||
\(751\) | 20204.0 | + | 34994.4i | 0.981697 | + | 1.70035i | 0.655783 | + | 0.754950i | \(0.272339\pi\) |
0.325914 | + | 0.945399i | \(0.394328\pi\) | |||||||
\(752\) | 1632.00 | − | 2826.71i | 0.0791395 | − | 0.137074i | ||||
\(753\) | 10608.0 | − | 18373.6i | 0.513382 | − | 0.889205i | ||||
\(754\) | −5220.00 | − | 9041.31i | −0.252124 | − | 0.436691i | ||||
\(755\) | −2240.00 | −0.107976 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32366.0 | 1.55398 | 0.776990 | − | 0.629513i | \(-0.216746\pi\) | ||||
0.776990 | + | 0.629513i | \(0.216746\pi\) | |||||||
\(758\) | −3860.00 | − | 6685.72i | −0.184962 | − | 0.320364i | ||||
\(759\) | 6336.00 | − | 10974.3i | 0.303007 | − | 0.524823i | ||||
\(760\) | 2000.00 | − | 3464.10i | 0.0954574 | − | 0.165337i | ||||
\(761\) | 8619.00 | + | 14928.5i | 0.410563 | + | 0.711116i | 0.994951 | − | 0.100358i | \(-0.0319988\pi\) |
−0.584388 | + | 0.811474i | \(0.698665\pi\) | |||||||
\(762\) | 1984.00 | 0.0943212 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 17568.0 | 0.831921 | ||||||||
\(765\) | −6105.00 | − | 10574.2i | −0.288532 | − | 0.499752i | ||||
\(766\) | 9588.00 | − | 16606.9i | 0.452257 | − | 0.783331i | ||||
\(767\) | 12180.0 | − | 21096.4i | 0.573395 | − | 0.993150i | ||||
\(768\) | 1024.00 | + | 1773.62i | 0.0481125 | + | 0.0833333i | ||||
\(769\) | 10850.0 | 0.508792 | 0.254396 | − | 0.967100i | \(-0.418123\pi\) | ||||
0.254396 | + | 0.967100i | \(0.418123\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18672.0 | 0.872186 | ||||||||
\(772\) | 4316.00 | + | 7475.53i | 0.201213 | + | 0.348511i | ||||
\(773\) | −4551.00 | + | 7882.56i | −0.211757 | + | 0.366774i | −0.952264 | − | 0.305274i | \(-0.901252\pi\) |
0.740508 | + | 0.672048i | \(0.234585\pi\) | |||||||
\(774\) | −1184.00 | + | 2050.75i | −0.0549845 | + | 0.0952359i | ||||
\(775\) | −1900.00 | − | 3290.90i | −0.0880645 | − | 0.152532i | ||||
\(776\) | 8848.00 | 0.409310 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26820.0 | −1.23592 | ||||||||
\(779\) | −21900.0 | − | 37931.9i | −1.00725 | − | 1.74461i | ||||
\(780\) | −4640.00 | + | 8036.72i | −0.212998 | + | 0.368924i | ||||
\(781\) | −2592.00 | + | 4489.48i | −0.118757 | + | 0.205693i | ||||
\(782\) | −8712.00 | − | 15089.6i | −0.398389 | − | 0.690031i | ||||
\(783\) | 7200.00 | 0.328617 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11230.0 | 0.510593 | ||||||||
\(786\) | 1056.00 | + | 1829.05i | 0.0479215 | + | 0.0830024i | ||||
\(787\) | 12752.0 | − | 22087.1i | 0.577585 | − | 1.00041i | −0.418170 | − | 0.908369i | \(-0.637328\pi\) |
0.995755 | − | 0.0920385i | \(-0.0293383\pi\) | |||||||
\(788\) | 2148.00 | − | 3720.45i | 0.0971058 | − | 0.168192i | ||||
\(789\) | −15792.0 | − | 27352.5i | −0.712560 | − | 1.23419i | ||||
\(790\) | −1600.00 | −0.0720575 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 3552.00 | 0.159362 | ||||||||
\(793\) | 26158.0 | + | 45307.0i | 1.17137 | + | 2.02888i | ||||
\(794\) | 13114.0 | − | 22714.1i | 0.586144 | − | 1.01523i | ||||
\(795\) | 4440.00 | − | 7690.31i | 0.198076 | − | 0.343078i | ||||
\(796\) | −5680.00 | − | 9838.05i | −0.252917 | − | 0.438066i | ||||
\(797\) | 14166.0 | 0.629593 | 0.314796 | − | 0.949159i | \(-0.398064\pi\) | ||||
0.314796 | + | 0.949159i | \(0.398064\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13464.0 | −0.596148 | ||||||||
\(800\) | −400.000 | − | 692.820i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −14985.0 | + | 25954.8i | −0.661010 | + | 1.14490i | ||||
\(802\) | 5838.00 | − | 10111.7i | 0.257041 | − | 0.445208i | ||||
\(803\) | −2172.00 | − | 3762.01i | −0.0954523 | − | 0.165328i | ||||
\(804\) | 32768.0 | 1.43736 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −17632.0 | −0.770547 | ||||||||
\(807\) | 6360.00 | + | 11015.8i | 0.277426 | + | 0.480516i | ||||
\(808\) | 1032.00 | − | 1787.48i | 0.0449327 | − | 0.0778257i | ||||
\(809\) | −16605.0 | + | 28760.7i | −0.721633 | + | 1.24990i | 0.238713 | + | 0.971090i | \(0.423275\pi\) |
−0.960345 | + | 0.278814i | \(0.910059\pi\) | |||||||
\(810\) | 1795.00 | + | 3109.03i | 0.0778640 | + | 0.134864i | ||||
\(811\) | 39212.0 | 1.69780 | 0.848902 | − | 0.528550i | \(-0.177264\pi\) | ||||
0.848902 | + | 0.528550i | \(0.177264\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −39616.0 | −1.70897 | ||||||||
\(814\) | 408.000 | + | 706.677i | 0.0175680 | + | 0.0304288i | ||||
\(815\) | 1420.00 | − | 2459.51i | 0.0610312 | − | 0.105709i | ||||
\(816\) | 4224.00 | − | 7316.18i | 0.181213 | − | 0.313870i | ||||
\(817\) | 1600.00 | + | 2771.28i | 0.0685152 | + | 0.118672i | ||||
\(818\) | 19060.0 | 0.814691 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8760.00 | −0.373064 | ||||||||
\(821\) | −3111.00 | − | 5388.41i | −0.132247 | − | 0.229058i | 0.792296 | − | 0.610138i | \(-0.208886\pi\) |
−0.924542 | + | 0.381079i | \(0.875552\pi\) | |||||||
\(822\) | −10032.0 | + | 17375.9i | −0.425677 | + | 0.737294i | ||||
\(823\) | −15586.0 | + | 26995.7i | −0.660138 | + | 1.14339i | 0.320441 | + | 0.947269i | \(0.396169\pi\) |
−0.980579 | + | 0.196124i | \(0.937164\pi\) | |||||||
\(824\) | 3952.00 | + | 6845.06i | 0.167081 | + | 0.289392i | ||||
\(825\) | −2400.00 | −0.101282 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −264.000 | −0.0111006 | −0.00555029 | − | 0.999985i | \(-0.501767\pi\) | ||||
−0.00555029 | + | 0.999985i | \(0.501767\pi\) | |||||||
\(828\) | −9768.00 | − | 16918.7i | −0.409978 | − | 0.710102i | ||||
\(829\) | 14525.0 | − | 25158.0i | 0.608533 | − | 1.05401i | −0.382949 | − | 0.923769i | \(-0.625092\pi\) |
0.991482 | − | 0.130241i | \(-0.0415751\pi\) | |||||||
\(830\) | −360.000 | + | 623.538i | −0.0150552 | + | 0.0260763i | ||||
\(831\) | 6584.00 | + | 11403.8i | 0.274845 | + | 0.476046i | ||||
\(832\) | −3712.00 | −0.154676 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 45760.0 | 1.89993 | ||||||||
\(835\) | 3810.00 | + | 6599.11i | 0.157905 | + | 0.273499i | ||||
\(836\) | 2400.00 | − | 4156.92i | 0.0992892 | − | 0.171974i | ||||
\(837\) | 6080.00 | − | 10530.9i | 0.251082 | − | 0.434887i | ||||
\(838\) | −7260.00 | − | 12574.7i | −0.299275 | − | 0.518360i | ||||
\(839\) | −21720.0 | −0.893752 | −0.446876 | − | 0.894596i | \(-0.647463\pi\) | ||||
−0.446876 | + | 0.894596i | \(0.647463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16289.0 | −0.667883 | ||||||||
\(842\) | −12062.0 | − | 20892.0i | −0.493686 | − | 0.855090i | ||||
\(843\) | −4632.00 | + | 8022.86i | −0.189246 | + | 0.327784i | ||||
\(844\) | 5336.00 | − | 9242.22i | 0.217622 | − | 0.376932i | ||||
\(845\) | −2917.50 | − | 5053.26i | −0.118775 | − | 0.205725i | ||||
\(846\) | −15096.0 | −0.613488 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 3552.00 | 0.143840 | ||||||||
\(849\) | 27968.0 | + | 48442.0i | 1.13058 | + | 1.95822i | ||||
\(850\) | −1650.00 | + | 2857.88i | −0.0665818 | + | 0.115323i | ||||
\(851\) | 2244.00 | − | 3886.72i | 0.0903917 | − | 0.156563i | ||||
\(852\) | 6912.00 | + | 11971.9i | 0.277936 | + | 0.481399i | ||||
\(853\) | −6658.00 | −0.267252 | −0.133626 | − | 0.991032i | \(-0.542662\pi\) | ||||
−0.133626 | + | 0.991032i | \(0.542662\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18500.0 | −0.739984 | ||||||||
\(856\) | 96.0000 | + | 166.277i | 0.00383319 | + | 0.00663928i | ||||
\(857\) | 6987.00 | − | 12101.8i | 0.278496 | − | 0.482370i | −0.692515 | − | 0.721404i | \(-0.743497\pi\) |
0.971011 | + | 0.239034i | \(0.0768307\pi\) | |||||||
\(858\) | −5568.00 | + | 9644.06i | −0.221548 | + | 0.383733i | ||||
\(859\) | −11890.0 | − | 20594.1i | −0.472272 | − | 0.817999i | 0.527225 | − | 0.849726i | \(-0.323233\pi\) |
−0.999497 | + | 0.0317270i | \(0.989899\pi\) | |||||||
\(860\) | 640.000 | 0.0253765 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −27216.0 | −1.07538 | ||||||||
\(863\) | 6114.00 | + | 10589.8i | 0.241162 | + | 0.417705i | 0.961046 | − | 0.276390i | \(-0.0891381\pi\) |
−0.719883 | + | 0.694095i | \(0.755805\pi\) | |||||||
\(864\) | 1280.00 | − | 2217.03i | 0.0504010 | − | 0.0872971i | ||||
\(865\) | −9255.00 | + | 16030.1i | −0.363791 | + | 0.630105i | ||||
\(866\) | 3838.00 | + | 6647.61i | 0.150601 | + | 0.260849i | ||||
\(867\) | 4456.00 | 0.174549 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1920.00 | −0.0749500 | ||||||||
\(870\) | −3600.00 | − | 6235.38i | −0.140289 | − | 0.242988i | ||||
\(871\) | −29696.0 | + | 51435.0i | −1.15524 | + | 2.00093i | ||||
\(872\) | −3800.00 | + | 6581.79i | −0.147574 | + | 0.255605i | ||||
\(873\) | −20461.0 | − | 35439.5i | −0.793242 | − | 1.37393i | ||||
\(874\) | −26400.0 | −1.02173 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −11584.0 | −0.446789 | ||||||||
\(877\) | −5803.00 | − | 10051.1i | −0.223436 | − | 0.387003i | 0.732413 | − | 0.680861i | \(-0.238394\pi\) |
−0.955849 | + | 0.293858i | \(0.905061\pi\) | |||||||
\(878\) | −7400.00 | + | 12817.2i | −0.284440 | + | 0.492664i | ||||
\(879\) | −1032.00 | + | 1787.48i | −0.0396001 | + | 0.0685894i | ||||
\(880\) | −480.000 | − | 831.384i | −0.0183873 | − | 0.0318477i | ||||
\(881\) | −32958.0 | −1.26037 | −0.630183 | − | 0.776446i | \(-0.717020\pi\) | ||||
−0.630183 | + | 0.776446i | \(0.717020\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8072.00 | 0.307638 | 0.153819 | − | 0.988099i | \(-0.450843\pi\) | ||||
0.153819 | + | 0.988099i | \(0.450843\pi\) | |||||||
\(884\) | 7656.00 | + | 13260.6i | 0.291289 | + | 0.504527i | ||||
\(885\) | 8400.00 | − | 14549.2i | 0.319054 | − | 0.552618i | ||||
\(886\) | −8352.00 | + | 14466.1i | −0.316694 | + | 0.548530i | ||||
\(887\) | −7878.00 | − | 13645.1i | −0.298216 | − | 0.516525i | 0.677512 | − | 0.735512i | \(-0.263058\pi\) |
−0.975728 | + | 0.218987i | \(0.929725\pi\) | |||||||
\(888\) | 2176.00 | 0.0822317 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 8100.00 | 0.305070 | ||||||||
\(891\) | 2154.00 | + | 3730.84i | 0.0809896 | + | 0.140278i | ||||
\(892\) | −3544.00 | + | 6138.39i | −0.133029 | + | 0.230413i | ||||
\(893\) | −10200.0 | + | 17666.9i | −0.382228 | + | 0.662039i | ||||
\(894\) | 6000.00 | + | 10392.3i | 0.224463 | + | 0.388782i | ||||
\(895\) | 15900.0 | 0.593831 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 61248.0 | 2.27983 | ||||||||
\(898\) | −10770.0 | − | 18654.2i | −0.400222 | − | 0.693205i | ||||
\(899\) | 6840.00 | − | 11847.2i | 0.253756 | − | 0.439519i | ||||
\(900\) | −1850.00 | + | 3204.29i | −0.0685185 | + | 0.118678i | ||||
\(901\) | −7326.00 | − | 12689.0i | −0.270882 | − | 0.469181i | ||||
\(902\) | −10512.0 | −0.388039 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8304.00 | −0.305517 | ||||||||
\(905\) | 5245.00 | + | 9084.61i | 0.192652 | + | 0.333682i | ||||
\(906\) | −3584.00 | + | 6207.67i | −0.131424 | + | 0.227634i | ||||
\(907\) | −9388.00 | + | 16260.5i | −0.343686 | + | 0.595282i | −0.985114 | − | 0.171901i | \(-0.945009\pi\) |
0.641428 | + | 0.767183i | \(0.278342\pi\) | |||||||
\(908\) | 5568.00 | + | 9644.06i | 0.203503 | + | 0.352477i | ||||
\(909\) | −9546.00 | −0.348318 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −20568.0 | −0.748022 | −0.374011 | − | 0.927424i | \(-0.622018\pi\) | ||||
−0.374011 | + | 0.927424i | \(0.622018\pi\) | |||||||
\(912\) | −6400.00 | − | 11085.1i | −0.232374 | − | 0.402484i | ||||
\(913\) | −432.000 | + | 748.246i | −0.0156595 | + | 0.0271230i | ||||
\(914\) | 6694.00 | − | 11594.3i | 0.242251 | − | 0.419592i | ||||
\(915\) | 18040.0 | + | 31246.2i | 0.651786 | + | 1.12893i | ||||
\(916\) | 1400.00 | 0.0504992 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −10560.0 | −0.379664 | ||||||||
\(919\) | 3140.00 | + | 5438.64i | 0.112708 | + | 0.195217i | 0.916861 | − | 0.399206i | \(-0.130714\pi\) |
−0.804153 | + | 0.594422i | \(0.797381\pi\) | |||||||
\(920\) | −2640.00 | + | 4572.61i | −0.0946068 | + | 0.163864i | ||||
\(921\) | −35776.0 | + | 61965.8i | −1.27998 | + | 2.21699i | ||||
\(922\) | 3018.00 | + | 5227.33i | 0.107801 | + | 0.186717i | ||||
\(923\) | −25056.0 | −0.893530 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −850.000 | −0.0302139 | ||||||||
\(926\) | −14492.0 | − | 25100.9i | −0.514294 | − | 0.890784i | ||||
\(927\) | 18278.0 | − | 31658.4i | 0.647603 | − | 1.12168i | ||||
\(928\) | 1440.00 | − | 2494.15i | 0.0509378 | − | 0.0882269i | ||||
\(929\) | 10215.0 | + | 17692.9i | 0.360757 | + | 0.624850i | 0.988086 | − | 0.153905i | \(-0.0491850\pi\) |
−0.627329 | + | 0.778755i | \(0.715852\pi\) | |||||||
\(930\) | −12160.0 | −0.428755 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7848.00 | 0.275826 | ||||||||
\(933\) | 5568.00 | + | 9644.06i | 0.195378 | + | 0.338405i | ||||
\(934\) | −7776.00 | + | 13468.4i | −0.272418 | + | 0.471842i | ||||
\(935\) | −1980.00 | + | 3429.46i | −0.0692545 | + | 0.119952i | ||||
\(936\) | 8584.00 | + | 14867.9i | 0.299762 | + | 0.519202i | ||||
\(937\) | 8906.00 | 0.310508 | 0.155254 | − | 0.987875i | \(-0.450380\pi\) | ||||
0.155254 | + | 0.987875i | \(0.450380\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 47024.0 | 1.63426 | ||||||||
\(940\) | 2040.00 | + | 3533.38i | 0.0707845 | + | 0.122602i | ||||
\(941\) | 8709.00 | − | 15084.4i | 0.301706 | − | 0.522570i | −0.674817 | − | 0.737986i | \(-0.735777\pi\) |
0.976522 | + | 0.215416i | \(0.0691106\pi\) | |||||||
\(942\) | 17968.0 | − | 31121.5i | 0.621475 | − | 1.07643i | ||||
\(943\) | 28908.0 | + | 50070.1i | 0.998276 | + | 1.72906i | ||||
\(944\) | 6720.00 | 0.231692 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 768.000 | 0.0263952 | ||||||||
\(947\) | 1272.00 | + | 2203.17i | 0.0436478 | + | 0.0756002i | 0.887024 | − | 0.461723i | \(-0.152769\pi\) |
−0.843376 | + | 0.537324i | \(0.819435\pi\) | |||||||
\(948\) | −2560.00 | + | 4434.05i | −0.0877056 | + | 0.151911i | ||||
\(949\) | 10498.0 | − | 18183.1i | 0.359093 | − | 0.621968i | ||||
\(950\) | 2500.00 | + | 4330.13i | 0.0853797 | + | 0.147882i | ||||
\(951\) | −82608.0 | −2.81677 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 15402.0 | 0.523525 | 0.261763 | − | 0.965132i | \(-0.415696\pi\) | ||||
0.261763 | + | 0.965132i | \(0.415696\pi\) | |||||||
\(954\) | −8214.00 | − | 14227.1i | −0.278761 | − | 0.482828i | ||||
\(955\) | −10980.0 | + | 19017.9i | −0.372047 | + | 0.644404i | ||||
\(956\) | 8640.00 | − | 14964.9i | 0.292299 | − | 0.506276i | ||||
\(957\) | −4320.00 | − | 7482.46i | −0.145920 | − | 0.252741i | ||||
\(958\) | −27360.0 | −0.922716 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −2560.00 | −0.0860663 | ||||||||
\(961\) | 3343.50 | + | 5791.11i | 0.112232 | + | 0.194391i | ||||
\(962\) | −1972.00 | + | 3415.60i | −0.0660913 | + | 0.114473i | ||||
\(963\) | 444.000 | − | 769.031i | 0.0148574 | − | 0.0257338i | ||||
\(964\) | 956.000 | + | 1655.84i | 0.0319405 | + | 0.0553226i | ||||
\(965\) | −10790.0 | −0.359940 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −49444.0 | −1.64427 | −0.822136 | − | 0.569291i | \(-0.807218\pi\) | ||||
−0.822136 | + | 0.569291i | \(0.807218\pi\) | |||||||
\(968\) | 4748.00 | + | 8223.78i | 0.157651 | + | 0.273060i | ||||
\(969\) | −26400.0 | + | 45726.1i | −0.875222 | + | 1.51593i | ||||
\(970\) | −5530.00 | + | 9578.24i | −0.183049 | + | 0.317050i | ||||
\(971\) | 12594.0 | + | 21813.4i | 0.416231 | + | 0.720934i | 0.995557 | − | 0.0941624i | \(-0.0300173\pi\) |
−0.579325 | + | 0.815096i | \(0.696684\pi\) | |||||||
\(972\) | 20128.0 | 0.664204 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 15832.0 | 0.520832 | ||||||||
\(975\) | −5800.00 | − | 10045.9i | −0.190511 | − | 0.329976i | ||||
\(976\) | −7216.00 | + | 12498.5i | −0.236658 | + | 0.409904i | ||||
\(977\) | −1473.00 | + | 2551.31i | −0.0482348 | + | 0.0835452i | −0.889135 | − | 0.457645i | \(-0.848693\pi\) |
0.840900 | + | 0.541191i | \(0.182026\pi\) | |||||||
\(978\) | −4544.00 | − | 7870.44i | −0.148570 | − | 0.257330i | ||||
\(979\) | 9720.00 | 0.317316 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 35150.0 | 1.14399 | ||||||||
\(982\) | −13932.0 | − | 24130.9i | −0.452737 | − | 0.784164i | ||||
\(983\) | −7506.00 | + | 13000.8i | −0.243544 | + | 0.421831i | −0.961721 | − | 0.274029i | \(-0.911644\pi\) |
0.718177 | + | 0.695861i | \(0.244977\pi\) | |||||||
\(984\) | −14016.0 | + | 24276.4i | −0.454079 | + | 0.786488i | ||||
\(985\) | 2685.00 | + | 4650.56i | 0.0868540 | + | 0.150436i | ||||
\(986\) | −11880.0 | −0.383708 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 23200.0 | 0.747055 | ||||||||
\(989\) | −2112.00 | − | 3658.09i | −0.0679046 | − | 0.117614i | ||||
\(990\) | −2220.00 | + | 3845.15i | −0.0712689 | + | 0.123441i | ||||
\(991\) | 2564.00 | − | 4440.98i | 0.0821878 | − | 0.142354i | −0.822002 | − | 0.569485i | \(-0.807143\pi\) |
0.904189 | + | 0.427132i | \(0.140476\pi\) | |||||||
\(992\) | −2432.00 | − | 4212.35i | −0.0778388 | − | 0.134821i | ||||
\(993\) | 33824.0 | 1.08094 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 14200.0 | 0.452432 | ||||||||
\(996\) | 1152.00 | + | 1995.32i | 0.0366491 | + | 0.0634781i | ||||
\(997\) | 24857.0 | − | 43053.6i | 0.789598 | − | 1.36762i | −0.136616 | − | 0.990624i | \(-0.543623\pi\) |
0.926213 | − | 0.377000i | \(-0.123044\pi\) | |||||||
\(998\) | 8260.00 | − | 14306.7i | 0.261990 | − | 0.453779i | ||||
\(999\) | −1360.00 | − | 2355.59i | −0.0430716 | − | 0.0746021i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))