Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,4,Mod(37,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.37");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.d (of order \(2\), degree \(1\), 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: | \(4.24813752041\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{-10}, \sqrt{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - 6x^{2} + 64 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Root | \(2.34521 - 1.58114i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.37 |
Dual form | 72.4.d.c.37.4 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.34521 | − | 1.58114i | 0.829156 | − | 0.559017i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.00000 | − | 7.41620i | 0.375000 | − | 0.927025i | ||||
\(5\) | − | 6.32456i | − | 0.565685i | −0.959166 | − | 0.282843i | \(-0.908723\pi\) | ||
0.959166 | − | 0.282843i | \(-0.0912774\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 10.0000 | 0.539949 | 0.269975 | − | 0.962867i | \(-0.412985\pi\) | ||||
0.269975 | + | 0.962867i | \(0.412985\pi\) | |||||||
\(8\) | −4.69042 | − | 22.1359i | −0.207289 | − | 0.978280i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −10.0000 | − | 14.8324i | −0.316228 | − | 0.469042i | ||||
\(11\) | − | 37.9473i | − | 1.04014i | −0.854123 | − | 0.520071i | \(-0.825906\pi\) | ||
0.854123 | − | 0.520071i | \(-0.174094\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 59.3296i | 1.26577i | 0.774244 | + | 0.632887i | \(0.218130\pi\) | ||||
−0.774244 | + | 0.632887i | \(0.781870\pi\) | |||||||
\(14\) | 23.4521 | − | 15.8114i | 0.447702 | − | 0.301841i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −46.0000 | − | 44.4972i | −0.718750 | − | 0.695269i | ||||
\(17\) | 75.0467 | 1.07068 | 0.535338 | − | 0.844638i | \(-0.320184\pi\) | ||||
0.535338 | + | 0.844638i | \(0.320184\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 118.659i | 1.43275i | 0.697715 | + | 0.716376i | \(0.254200\pi\) | ||||
−0.697715 | + | 0.716376i | \(0.745800\pi\) | |||||||
\(20\) | −46.9042 | − | 18.9737i | −0.524404 | − | 0.212132i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −60.0000 | − | 88.9944i | −0.581456 | − | 0.862439i | ||||
\(23\) | −150.093 | −1.36072 | −0.680361 | − | 0.732877i | \(-0.738177\pi\) | ||||
−0.680361 | + | 0.732877i | \(0.738177\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 85.0000 | 0.680000 | ||||||||
\(26\) | 93.8083 | + | 139.140i | 0.707589 | + | 1.04952i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 30.0000 | − | 74.1620i | 0.202481 | − | 0.500546i | ||||
\(29\) | 246.658i | 1.57942i | 0.613480 | + | 0.789710i | \(0.289769\pi\) | ||||
−0.613480 | + | 0.789710i | \(0.710231\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 62.0000 | 0.359211 | 0.179605 | − | 0.983739i | \(-0.442518\pi\) | ||||
0.179605 | + | 0.983739i | \(0.442518\pi\) | |||||||
\(32\) | −178.236 | − | 31.6228i | −0.984623 | − | 0.174693i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 176.000 | − | 118.659i | 0.887757 | − | 0.598526i | ||||
\(35\) | − | 63.2456i | − | 0.305441i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 59.3296i | 0.263614i | 0.991275 | + | 0.131807i | \(0.0420779\pi\) | ||||
−0.991275 | + | 0.131807i | \(0.957922\pi\) | |||||||
\(38\) | 187.617 | + | 278.280i | 0.800933 | + | 1.18797i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −140.000 | + | 29.6648i | −0.553399 | + | 0.117260i | ||||
\(41\) | 375.233 | 1.42931 | 0.714654 | − | 0.699479i | \(-0.246584\pi\) | ||||
0.714654 | + | 0.699479i | \(0.246584\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 118.659i | − | 0.420822i | −0.977613 | − | 0.210411i | \(-0.932520\pi\) | ||
0.977613 | − | 0.210411i | \(-0.0674802\pi\) | |||||||
\(44\) | −281.425 | − | 113.842i | −0.964237 | − | 0.390053i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −352.000 | + | 237.318i | −1.12825 | + | 0.760667i | ||||
\(47\) | −450.280 | −1.39745 | −0.698724 | − | 0.715391i | \(-0.746249\pi\) | ||||
−0.698724 | + | 0.715391i | \(0.746249\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −243.000 | −0.708455 | ||||||||
\(50\) | 199.343 | − | 134.397i | 0.563826 | − | 0.380132i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 440.000 | + | 177.989i | 1.17340 | + | 0.474665i | ||||
\(53\) | 132.816i | 0.344220i | 0.985078 | + | 0.172110i | \(0.0550584\pi\) | ||||
−0.985078 | + | 0.172110i | \(0.944942\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −240.000 | −0.588393 | ||||||||
\(56\) | −46.9042 | − | 221.359i | −0.111926 | − | 0.528221i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 390.000 | + | 578.463i | 0.882923 | + | 1.30959i | ||||
\(59\) | − | 733.648i | − | 1.61886i | −0.587215 | − | 0.809431i | \(-0.699776\pi\) | ||
0.587215 | − | 0.809431i | \(-0.300224\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 533.966i | − | 1.12078i | −0.828230 | − | 0.560388i | \(-0.810652\pi\) | ||
0.828230 | − | 0.560388i | \(-0.189348\pi\) | |||||||
\(62\) | 145.403 | − | 98.0306i | 0.297842 | − | 0.200805i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −468.000 | + | 207.654i | −0.914062 | + | 0.405573i | ||||
\(65\) | 375.233 | 0.716030 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 711.955i | − | 1.29820i | −0.760705 | − | 0.649098i | \(-0.775146\pi\) | ||
0.760705 | − | 0.649098i | \(-0.224854\pi\) | |||||||
\(68\) | 225.140 | − | 556.561i | 0.401503 | − | 0.992543i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −100.000 | − | 148.324i | −0.170747 | − | 0.253259i | ||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 30.0000 | 0.0480991 | 0.0240496 | − | 0.999711i | \(-0.492344\pi\) | ||||
0.0240496 | + | 0.999711i | \(0.492344\pi\) | |||||||
\(74\) | 93.8083 | + | 139.140i | 0.147365 | + | 0.218577i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 880.000 | + | 355.978i | 1.32820 | + | 0.537282i | ||||
\(77\) | − | 379.473i | − | 0.561623i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 94.0000 | 0.133871 | 0.0669356 | − | 0.997757i | \(-0.478678\pi\) | ||||
0.0669356 | + | 0.997757i | \(0.478678\pi\) | |||||||
\(80\) | −281.425 | + | 290.930i | −0.393303 | + | 0.406586i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 880.000 | − | 593.296i | 1.18512 | − | 0.799007i | ||||
\(83\) | 670.403i | 0.886582i | 0.896378 | + | 0.443291i | \(0.146189\pi\) | ||||
−0.896378 | + | 0.443291i | \(0.853811\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 474.637i | − | 0.605666i | ||||||
\(86\) | −187.617 | − | 278.280i | −0.235247 | − | 0.348927i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −840.000 | + | 177.989i | −1.01755 | + | 0.215610i | ||||
\(89\) | −750.467 | −0.893812 | −0.446906 | − | 0.894581i | \(-0.647474\pi\) | ||||
−0.446906 | + | 0.894581i | \(0.647474\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 593.296i | 0.683454i | ||||||||
\(92\) | −450.280 | + | 1113.12i | −0.510271 | + | 1.26142i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1056.00 | + | 711.955i | −1.15870 | + | 0.781197i | ||||
\(95\) | 750.467 | 0.810487 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 130.000 | 0.136077 | 0.0680387 | − | 0.997683i | \(-0.478326\pi\) | ||||
0.0680387 | + | 0.997683i | \(0.478326\pi\) | |||||||
\(98\) | −569.886 | + | 384.217i | −0.587420 | + | 0.396038i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 255.000 | − | 630.377i | 0.255000 | − | 0.630377i | ||||
\(101\) | 562.885i | 0.554546i | 0.960791 | + | 0.277273i | \(0.0894307\pi\) | ||||
−0.960791 | + | 0.277273i | \(0.910569\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −570.000 | −0.545279 | −0.272640 | − | 0.962116i | \(-0.587897\pi\) | ||||
−0.272640 | + | 0.962116i | \(0.587897\pi\) | |||||||
\(104\) | 1313.32 | − | 278.280i | 1.23828 | − | 0.262381i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 210.000 | + | 311.480i | 0.192425 | + | 0.285412i | ||||
\(107\) | 1290.21i | 1.16569i | 0.812582 | + | 0.582847i | \(0.198061\pi\) | ||||
−0.812582 | + | 0.582847i | \(0.801939\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1720.56i | 1.51192i | 0.654616 | + | 0.755961i | \(0.272830\pi\) | ||||
−0.654616 | + | 0.755961i | \(0.727170\pi\) | |||||||
\(110\) | −562.850 | + | 379.473i | −0.487869 | + | 0.328921i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −460.000 | − | 444.972i | −0.388089 | − | 0.375410i | ||||
\(113\) | −1350.84 | −1.12457 | −0.562285 | − | 0.826944i | \(-0.690077\pi\) | ||||
−0.562285 | + | 0.826944i | \(0.690077\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 949.273i | 0.769741i | ||||||||
\(116\) | 1829.26 | + | 739.973i | 1.46416 | + | 0.592282i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1160.00 | − | 1720.56i | −0.904972 | − | 1.34229i | ||||
\(119\) | 750.467 | 0.578111 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −109.000 | −0.0818933 | ||||||||
\(122\) | −844.275 | − | 1252.26i | −0.626533 | − | 0.929299i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 186.000 | − | 459.804i | 0.134704 | − | 0.332997i | ||||
\(125\) | − | 1328.16i | − | 0.950352i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2530.00 | 1.76773 | 0.883863 | − | 0.467746i | \(-0.154934\pi\) | ||||
0.883863 | + | 0.467746i | \(0.154934\pi\) | |||||||
\(128\) | −769.228 | + | 1226.96i | −0.531178 | + | 0.847260i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 880.000 | − | 593.296i | 0.593701 | − | 0.400273i | ||||
\(131\) | 252.982i | 0.168726i | 0.996435 | + | 0.0843632i | \(0.0268856\pi\) | ||||
−0.996435 | + | 0.0843632i | \(0.973114\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1186.59i | 0.773613i | ||||||||
\(134\) | −1125.70 | − | 1669.68i | −0.725714 | − | 1.07641i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −352.000 | − | 1661.23i | −0.221939 | − | 1.04742i | ||||
\(137\) | −675.420 | −0.421204 | −0.210602 | − | 0.977572i | \(-0.567542\pi\) | ||||
−0.210602 | + | 0.977572i | \(0.567542\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 237.318i | − | 0.144814i | −0.997375 | − | 0.0724068i | \(-0.976932\pi\) | ||
0.997375 | − | 0.0724068i | \(-0.0230680\pi\) | |||||||
\(140\) | −469.042 | − | 189.737i | −0.283152 | − | 0.114541i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2251.40 | 1.31658 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1560.00 | 0.893455 | ||||||||
\(146\) | 70.3562 | − | 47.4342i | 0.0398817 | − | 0.0268882i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 440.000 | + | 177.989i | 0.244377 | + | 0.0988553i | ||||
\(149\) | − | 2940.92i | − | 1.61698i | −0.588513 | − | 0.808488i | \(-0.700286\pi\) | ||
0.588513 | − | 0.808488i | \(-0.299714\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2262.00 | −1.21907 | −0.609533 | − | 0.792761i | \(-0.708643\pi\) | ||||
−0.609533 | + | 0.792761i | \(0.708643\pi\) | |||||||
\(152\) | 2626.63 | − | 556.561i | 1.40163 | − | 0.296994i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −600.000 | − | 889.944i | −0.313957 | − | 0.465673i | ||||
\(155\) | − | 392.122i | − | 0.203200i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 1720.56i | − | 0.874621i | −0.899311 | − | 0.437310i | \(-0.855931\pi\) | ||
0.899311 | − | 0.437310i | \(-0.144069\pi\) | |||||||
\(158\) | 220.450 | − | 148.627i | 0.111000 | − | 0.0748363i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −200.000 | + | 1127.26i | −0.0988212 | + | 0.556987i | ||||
\(161\) | −1500.93 | −0.734721 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2017.21i | 0.969324i | 0.874702 | + | 0.484662i | \(0.161057\pi\) | ||||
−0.874702 | + | 0.484662i | \(0.838943\pi\) | |||||||
\(164\) | 1125.70 | − | 2782.80i | 0.535990 | − | 1.32500i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1060.00 | + | 1572.23i | 0.495614 | + | 0.735115i | ||||
\(167\) | 1050.65 | 0.486838 | 0.243419 | − | 0.969921i | \(-0.421731\pi\) | ||||
0.243419 | + | 0.969921i | \(0.421731\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1323.00 | −0.602185 | ||||||||
\(170\) | −750.467 | − | 1113.12i | −0.338577 | − | 0.502191i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −880.000 | − | 355.978i | −0.390113 | − | 0.157808i | ||||
\(173\) | 1423.02i | 0.625379i | 0.949855 | + | 0.312690i | \(0.101230\pi\) | ||||
−0.949855 | + | 0.312690i | \(0.898770\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 850.000 | 0.367165 | ||||||||
\(176\) | −1688.55 | + | 1745.58i | −0.723177 | + | 0.747601i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1760.00 | + | 1186.59i | −0.741110 | + | 0.499656i | ||||
\(179\) | − | 126.491i | − | 0.0528178i | −0.999651 | − | 0.0264089i | \(-0.991593\pi\) | ||
0.999651 | − | 0.0264089i | \(-0.00840719\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 59.3296i | − | 0.0243643i | −0.999926 | − | 0.0121821i | \(-0.996122\pi\) | ||
0.999926 | − | 0.0121821i | \(-0.00387779\pi\) | |||||||
\(182\) | 938.083 | + | 1391.40i | 0.382062 | + | 0.566690i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 704.000 | + | 3322.46i | 0.282063 | + | 1.33117i | ||||
\(185\) | 375.233 | 0.149123 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 2847.82i | − | 1.11365i | ||||||
\(188\) | −1350.84 | + | 3339.37i | −0.524043 | + | 1.29547i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1760.00 | − | 1186.59i | 0.672020 | − | 0.453076i | ||||
\(191\) | −3752.33 | −1.42151 | −0.710757 | − | 0.703437i | \(-0.751648\pi\) | ||||
−0.710757 | + | 0.703437i | \(0.751648\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1350.00 | −0.503498 | −0.251749 | − | 0.967793i | \(-0.581006\pi\) | ||||
−0.251749 | + | 0.967793i | \(0.581006\pi\) | |||||||
\(194\) | 304.877 | − | 205.548i | 0.112829 | − | 0.0760695i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −729.000 | + | 1802.14i | −0.265671 | + | 0.656755i | ||||
\(197\) | 1448.32i | 0.523801i | 0.965095 | + | 0.261900i | \(0.0843492\pi\) | ||||
−0.965095 | + | 0.261900i | \(0.915651\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3194.00 | −1.13777 | −0.568886 | − | 0.822416i | \(-0.692625\pi\) | ||||
−0.568886 | + | 0.822416i | \(0.692625\pi\) | |||||||
\(200\) | −398.685 | − | 1881.56i | −0.140957 | − | 0.665230i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 890.000 | + | 1320.08i | 0.310001 | + | 0.459806i | ||||
\(203\) | 2466.58i | 0.852807i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 2373.18i | − | 0.808538i | ||||||
\(206\) | −1336.77 | + | 901.249i | −0.452122 | + | 0.304820i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2640.00 | − | 2729.16i | 0.880053 | − | 0.909775i | ||||
\(209\) | 4502.80 | 1.49026 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 5458.32i | − | 1.78088i | −0.455097 | − | 0.890442i | \(-0.650396\pi\) | ||
0.455097 | − | 0.890442i | \(-0.349604\pi\) | |||||||
\(212\) | 984.987 | + | 398.447i | 0.319100 | + | 0.129082i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2040.00 | + | 3025.81i | 0.651643 | + | 0.966542i | ||||
\(215\) | −750.467 | −0.238053 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 620.000 | 0.193955 | ||||||||
\(218\) | 2720.44 | + | 4035.07i | 0.845190 | + | 1.25362i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −720.000 | + | 1779.89i | −0.220647 | + | 0.545455i | ||||
\(221\) | 4452.49i | 1.35523i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5330.00 | 1.60055 | 0.800276 | − | 0.599632i | \(-0.204686\pi\) | ||||
0.800276 | + | 0.599632i | \(0.204686\pi\) | |||||||
\(224\) | −1782.36 | − | 316.228i | −0.531646 | − | 0.0943253i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3168.00 | + | 2135.87i | −0.932443 | + | 0.628653i | ||||
\(227\) | − | 4768.71i | − | 1.39432i | −0.716915 | − | 0.697160i | \(-0.754447\pi\) | ||
0.716915 | − | 0.697160i | \(-0.245553\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 3619.10i | − | 1.04435i | −0.852837 | − | 0.522177i | \(-0.825120\pi\) | ||
0.852837 | − | 0.522177i | \(-0.174880\pi\) | |||||||
\(230\) | 1500.93 | + | 2226.24i | 0.430298 | + | 0.638235i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5460.00 | − | 1156.93i | 1.54511 | − | 0.327396i | ||||
\(233\) | 150.093 | 0.0422015 | 0.0211007 | − | 0.999777i | \(-0.493283\pi\) | ||||
0.0211007 | + | 0.999777i | \(0.493283\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2847.82i | 0.790516i | ||||||||
\(236\) | −5440.88 | − | 2200.95i | −1.50073 | − | 0.607073i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1760.00 | − | 1186.59i | 0.479344 | − | 0.323174i | ||||
\(239\) | −2251.40 | −0.609334 | −0.304667 | − | 0.952459i | \(-0.598545\pi\) | ||||
−0.304667 | + | 0.952459i | \(0.598545\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1162.00 | −0.310585 | −0.155293 | − | 0.987869i | \(-0.549632\pi\) | ||||
−0.155293 | + | 0.987869i | \(0.549632\pi\) | |||||||
\(242\) | −255.628 | + | 172.344i | −0.0679023 | + | 0.0457798i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3960.00 | − | 1601.90i | −1.03899 | − | 0.420291i | ||||
\(245\) | 1536.87i | 0.400763i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7040.00 | −1.81354 | ||||||||
\(248\) | −290.806 | − | 1372.43i | −0.0744604 | − | 0.351408i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2100.00 | − | 3114.80i | −0.531263 | − | 0.787990i | ||||
\(251\) | − | 645.105i | − | 0.162226i | −0.996705 | − | 0.0811128i | \(-0.974153\pi\) | ||
0.996705 | − | 0.0811128i | \(-0.0258474\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5695.64i | 1.41534i | ||||||||
\(254\) | 5933.38 | − | 4000.28i | 1.46572 | − | 0.988189i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 136.000 | + | 4093.74i | 0.0332031 | + | 0.999449i | ||||
\(257\) | 1801.12 | 0.437162 | 0.218581 | − | 0.975819i | \(-0.429857\pi\) | ||||
0.218581 | + | 0.975819i | \(0.429857\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 593.296i | 0.142338i | ||||||||
\(260\) | 1125.70 | − | 2782.80i | 0.268511 | − | 0.663778i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 400.000 | + | 593.296i | 0.0943209 | + | 0.139901i | ||||
\(263\) | −6604.11 | −1.54839 | −0.774195 | − | 0.632947i | \(-0.781845\pi\) | ||||
−0.774195 | + | 0.632947i | \(0.781845\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 840.000 | 0.194720 | ||||||||
\(266\) | 1876.17 | + | 2782.80i | 0.432463 | + | 0.641446i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5280.00 | − | 2135.87i | −1.20346 | − | 0.486824i | ||||
\(269\) | − | 6052.60i | − | 1.37187i | −0.727662 | − | 0.685936i | \(-0.759393\pi\) | ||
0.727662 | − | 0.685936i | \(-0.240607\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6402.00 | 1.43503 | 0.717516 | − | 0.696542i | \(-0.245279\pi\) | ||||
0.717516 | + | 0.696542i | \(0.245279\pi\) | |||||||
\(272\) | −3452.15 | − | 3339.37i | −0.769548 | − | 0.744407i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1584.00 | + | 1067.93i | −0.349244 | + | 0.235460i | ||||
\(275\) | − | 3225.52i | − | 0.707296i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2076.54i | 0.450422i | 0.974310 | + | 0.225211i | \(0.0723072\pi\) | ||||
−0.974310 | + | 0.225211i | \(0.927693\pi\) | |||||||
\(278\) | −375.233 | − | 556.561i | −0.0809532 | − | 0.120073i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1400.00 | + | 296.648i | −0.298807 | + | 0.0633147i | ||||
\(281\) | 9005.60 | 1.91185 | 0.955923 | − | 0.293616i | \(-0.0948587\pi\) | ||||
0.955923 | + | 0.293616i | \(0.0948587\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5221.00i | 1.09667i | 0.836260 | + | 0.548333i | \(0.184737\pi\) | ||||
−0.836260 | + | 0.548333i | \(0.815263\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5280.00 | − | 3559.78i | 1.09165 | − | 0.735993i | ||||
\(287\) | 3752.33 | 0.771753 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 719.000 | 0.146346 | ||||||||
\(290\) | 3658.52 | − | 2466.58i | 0.740814 | − | 0.499456i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 90.0000 | − | 222.486i | 0.0180372 | − | 0.0445891i | ||||
\(293\) | 5293.65i | 1.05549i | 0.849403 | + | 0.527745i | \(0.176962\pi\) | ||||
−0.849403 | + | 0.527745i | \(0.823038\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4640.00 | −0.915767 | ||||||||
\(296\) | 1313.32 | − | 278.280i | 0.257888 | − | 0.0546443i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4650.00 | − | 6897.06i | −0.903917 | − | 1.34073i | ||||
\(299\) | − | 8904.97i | − | 1.72237i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 1186.59i | − | 0.227223i | ||||||
\(302\) | −5304.86 | + | 3576.54i | −1.01080 | + | 0.681479i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5280.00 | − | 5458.32i | 0.996147 | − | 1.02979i | ||||
\(305\) | −3377.10 | −0.634007 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4983.69i | 0.926495i | 0.886229 | + | 0.463247i | \(0.153316\pi\) | ||||
−0.886229 | + | 0.463247i | \(0.846684\pi\) | |||||||
\(308\) | −2814.25 | − | 1138.42i | −0.520639 | − | 0.210609i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −620.000 | − | 919.609i | −0.113592 | − | 0.168485i | ||||
\(311\) | −1500.93 | −0.273666 | −0.136833 | − | 0.990594i | \(-0.543692\pi\) | ||||
−0.136833 | + | 0.990594i | \(0.543692\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6350.00 | 1.14672 | 0.573360 | − | 0.819304i | \(-0.305640\pi\) | ||||
0.573360 | + | 0.819304i | \(0.305640\pi\) | |||||||
\(314\) | −2720.44 | − | 4035.07i | −0.488928 | − | 0.725197i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 282.000 | − | 697.123i | 0.0502017 | − | 0.124102i | ||||
\(317\) | 1739.25i | 0.308158i | 0.988059 | + | 0.154079i | \(0.0492411\pi\) | ||||
−0.988059 | + | 0.154079i | \(0.950759\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9360.00 | 1.64282 | ||||||||
\(320\) | 1313.32 | + | 2959.89i | 0.229427 | + | 0.517072i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3520.00 | + | 2373.18i | −0.609199 | + | 0.410722i | ||||
\(323\) | 8904.97i | 1.53401i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5043.01i | 0.860727i | ||||||||
\(326\) | 3189.48 | + | 4730.77i | 0.541868 | + | 0.803721i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1760.00 | − | 8306.14i | −0.296280 | − | 1.39826i | ||||
\(329\) | −4502.80 | −0.754551 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 3322.46i | − | 0.551718i | −0.961198 | − | 0.275859i | \(-0.911038\pi\) | ||
0.961198 | − | 0.275859i | \(-0.0889623\pi\) | |||||||
\(332\) | 4971.84 | + | 2011.21i | 0.821883 | + | 0.332468i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2464.00 | − | 1661.23i | 0.403665 | − | 0.272151i | ||||
\(335\) | −4502.80 | −0.734371 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1430.00 | −0.231149 | −0.115574 | − | 0.993299i | \(-0.536871\pi\) | ||||
−0.115574 | + | 0.993299i | \(0.536871\pi\) | |||||||
\(338\) | −3102.71 | + | 2091.85i | −0.499305 | + | 0.336632i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3520.00 | − | 1423.91i | −0.561467 | − | 0.227125i | ||||
\(341\) | − | 2352.73i | − | 0.373630i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5860.00 | −0.922479 | ||||||||
\(344\) | −2626.63 | + | 556.561i | −0.411682 | + | 0.0872318i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2250.00 | + | 3337.29i | 0.349598 | + | 0.518537i | ||||
\(347\) | 10106.6i | 1.56355i | 0.623559 | + | 0.781776i | \(0.285686\pi\) | ||||
−0.623559 | + | 0.781776i | \(0.714314\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1127.26i | 0.172897i | 0.996256 | + | 0.0864484i | \(0.0275518\pi\) | ||||
−0.996256 | + | 0.0864484i | \(0.972448\pi\) | |||||||
\(350\) | 1993.43 | − | 1343.97i | 0.304438 | − | 0.205252i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1200.00 | + | 6763.57i | −0.181705 | + | 1.02415i | ||||
\(353\) | 1350.84 | 0.203677 | 0.101838 | − | 0.994801i | \(-0.467528\pi\) | ||||
0.101838 | + | 0.994801i | \(0.467528\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2251.40 | + | 5565.61i | −0.335180 | + | 0.828586i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −200.000 | − | 296.648i | −0.0295261 | − | 0.0437942i | ||||
\(359\) | 12007.5 | 1.76526 | 0.882632 | − | 0.470065i | \(-0.155769\pi\) | ||||
0.882632 | + | 0.470065i | \(0.155769\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7221.00 | −1.05278 | ||||||||
\(362\) | −93.8083 | − | 139.140i | −0.0136200 | − | 0.0202018i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4400.00 | + | 1779.89i | 0.633579 | + | 0.256295i | ||||
\(365\) | − | 189.737i | − | 0.0272090i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5070.00 | 0.721122 | 0.360561 | − | 0.932736i | \(-0.382585\pi\) | ||||
0.360561 | + | 0.932736i | \(0.382585\pi\) | |||||||
\(368\) | 6904.29 | + | 6678.73i | 0.978019 | + | 0.946068i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 880.000 | − | 593.296i | 0.123646 | − | 0.0833621i | ||||
\(371\) | 1328.16i | 0.185861i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2432.51i | 0.337670i | 0.985644 | + | 0.168835i | \(0.0540004\pi\) | ||||
−0.985644 | + | 0.168835i | \(0.946000\pi\) | |||||||
\(374\) | −4502.80 | − | 6678.73i | −0.622551 | − | 0.923393i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2112.00 | + | 9967.37i | 0.289676 | + | 1.36710i | ||||
\(377\) | −14634.1 | −1.99919 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 7712.85i | − | 1.04534i | −0.852536 | − | 0.522668i | \(-0.824937\pi\) | ||
0.852536 | − | 0.522668i | \(-0.175063\pi\) | |||||||
\(380\) | 2251.40 | − | 5565.61i | 0.303933 | − | 0.751341i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8800.00 | + | 5932.96i | −1.17866 | + | 0.794651i | ||||
\(383\) | 5853.64 | 0.780958 | 0.390479 | − | 0.920612i | \(-0.372309\pi\) | ||||
0.390479 | + | 0.920612i | \(0.372309\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2400.00 | −0.317702 | ||||||||
\(386\) | −3166.03 | + | 2134.54i | −0.417479 | + | 0.281464i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 390.000 | − | 964.106i | 0.0510290 | − | 0.126147i | ||||
\(389\) | − | 2156.67i | − | 0.281099i | −0.990074 | − | 0.140550i | \(-0.955113\pi\) | ||
0.990074 | − | 0.140550i | \(-0.0448870\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11264.0 | −1.45689 | ||||||||
\(392\) | 1139.77 | + | 5379.03i | 0.146855 | + | 0.693067i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2290.00 | + | 3396.62i | 0.292814 | + | 0.434313i | ||||
\(395\) | − | 594.508i | − | 0.0757290i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 12162.6i | − | 1.53759i | −0.639498 | − | 0.768793i | \(-0.720858\pi\) | ||
0.639498 | − | 0.768793i | \(-0.279142\pi\) | |||||||
\(398\) | −7490.59 | + | 5050.16i | −0.943391 | + | 0.636034i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3910.00 | − | 3782.26i | −0.488750 | − | 0.472783i | ||||
\(401\) | −3377.10 | −0.420559 | −0.210280 | − | 0.977641i | \(-0.567437\pi\) | ||||
−0.210280 | + | 0.977641i | \(0.567437\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3678.43i | 0.454680i | ||||||||
\(404\) | 4174.47 | + | 1688.66i | 0.514078 | + | 0.207955i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3900.00 | + | 5784.63i | 0.476733 | + | 0.707110i | ||||
\(407\) | 2251.40 | 0.274196 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3526.00 | 0.426282 | 0.213141 | − | 0.977021i | \(-0.431631\pi\) | ||||
0.213141 | + | 0.977021i | \(0.431631\pi\) | |||||||
\(410\) | −3752.33 | − | 5565.61i | −0.451987 | − | 0.670404i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1710.00 | + | 4227.23i | −0.204480 | + | 0.505487i | ||||
\(413\) | − | 7336.48i | − | 0.874104i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4240.00 | 0.501526 | ||||||||
\(416\) | 1876.17 | − | 10574.7i | 0.221122 | − | 1.24631i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 10560.0 | − | 7119.55i | 1.23566 | − | 0.833083i | ||||
\(419\) | 2466.58i | 0.287590i | 0.989608 | + | 0.143795i | \(0.0459306\pi\) | ||||
−0.989608 | + | 0.143795i | \(0.954069\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 13586.5i | − | 1.57284i | −0.617694 | − | 0.786418i | \(-0.711933\pi\) | ||
0.617694 | − | 0.786418i | \(-0.288067\pi\) | |||||||
\(422\) | −8630.36 | − | 12800.9i | −0.995544 | − | 1.47663i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2940.00 | − | 622.961i | 0.336743 | − | 0.0713529i | ||||
\(425\) | 6378.97 | 0.728059 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 5339.66i | − | 0.605163i | ||||||
\(428\) | 9568.45 | + | 3870.63i | 1.08063 | + | 0.437135i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1760.00 | + | 1186.59i | −0.197383 | + | 0.133076i | ||||
\(431\) | 6754.20 | 0.754845 | 0.377423 | − | 0.926041i | \(-0.376810\pi\) | ||||
0.377423 | + | 0.926041i | \(0.376810\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7790.00 | 0.864581 | 0.432290 | − | 0.901734i | \(-0.357706\pi\) | ||||
0.432290 | + | 0.901734i | \(0.357706\pi\) | |||||||
\(434\) | 1454.03 | − | 980.306i | 0.160819 | − | 0.108424i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12760.0 | + | 5161.67i | 1.40159 | + | 0.566971i | ||||
\(437\) | − | 17809.9i | − | 1.94958i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9354.00 | −1.01695 | −0.508476 | − | 0.861076i | \(-0.669791\pi\) | ||||
−0.508476 | + | 0.861076i | \(0.669791\pi\) | |||||||
\(440\) | 1125.70 | + | 5312.63i | 0.121967 | + | 0.575613i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7040.00 | + | 10442.0i | 0.757599 | + | 1.12370i | ||||
\(443\) | − | 6488.99i | − | 0.695940i | −0.937506 | − | 0.347970i | \(-0.886871\pi\) | ||
0.937506 | − | 0.347970i | \(-0.113129\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4746.37i | 0.505617i | ||||||||
\(446\) | 12500.0 | − | 8427.47i | 1.32711 | − | 0.894736i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4680.00 | + | 2076.54i | −0.493547 | + | 0.218989i | ||||
\(449\) | −10131.3 | −1.06487 | −0.532434 | − | 0.846472i | \(-0.678722\pi\) | ||||
−0.532434 | + | 0.846472i | \(0.678722\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 14239.1i | − | 1.48668i | ||||||
\(452\) | −4052.52 | + | 10018.1i | −0.421713 | + | 1.04250i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7540.00 | − | 11183.6i | −0.779449 | − | 1.15611i | ||||
\(455\) | 3752.33 | 0.386620 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −12010.0 | −1.22933 | −0.614665 | − | 0.788788i | \(-0.710709\pi\) | ||||
−0.614665 | + | 0.788788i | \(0.710709\pi\) | |||||||
\(458\) | −5722.31 | − | 8487.55i | −0.583812 | − | 0.865933i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7040.00 | + | 2847.82i | 0.713569 | + | 0.288653i | ||||
\(461\) | 9316.07i | 0.941199i | 0.882347 | + | 0.470599i | \(0.155962\pi\) | ||||
−0.882347 | + | 0.470599i | \(0.844038\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14770.0 | 1.48255 | 0.741274 | − | 0.671202i | \(-0.234222\pi\) | ||||
0.741274 | + | 0.671202i | \(0.234222\pi\) | |||||||
\(464\) | 10975.6 | − | 11346.3i | 1.09812 | − | 1.13521i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 352.000 | − | 237.318i | 0.0349916 | − | 0.0235913i | ||||
\(467\) | 8740.54i | 0.866089i | 0.901372 | + | 0.433045i | \(0.142561\pi\) | ||||
−0.901372 | + | 0.433045i | \(0.857439\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 7119.55i | − | 0.700960i | ||||||
\(470\) | 4502.80 | + | 6678.73i | 0.441912 | + | 0.655461i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −16240.0 | + | 3441.12i | −1.58370 | + | 0.335572i | ||||
\(473\) | −4502.80 | −0.437714 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10086.0i | 0.974271i | ||||||||
\(476\) | 2251.40 | − | 5565.61i | 0.216791 | − | 0.535923i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5280.00 | + | 3559.78i | −0.505233 | + | 0.340628i | ||||
\(479\) | −3001.87 | −0.286344 | −0.143172 | − | 0.989698i | \(-0.545730\pi\) | ||||
−0.143172 | + | 0.989698i | \(0.545730\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3520.00 | −0.333676 | ||||||||
\(482\) | −2725.13 | + | 1837.28i | −0.257524 | + | 0.173622i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −327.000 | + | 808.366i | −0.0307100 | + | 0.0759171i | ||||
\(485\) | − | 822.192i | − | 0.0769770i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9910.00 | −0.922105 | −0.461052 | − | 0.887373i | \(-0.652528\pi\) | ||||
−0.461052 | + | 0.887373i | \(0.652528\pi\) | |||||||
\(488\) | −11819.8 | + | 2504.52i | −1.09643 | + | 0.232325i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2430.00 | + | 3604.27i | 0.224033 | + | 0.332295i | ||||
\(491\) | − | 3389.96i | − | 0.311582i | −0.987790 | − | 0.155791i | \(-0.950207\pi\) | ||
0.987790 | − | 0.155791i | \(-0.0497927\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18510.8i | 1.69105i | ||||||||
\(494\) | −16510.3 | + | 11131.2i | −1.50371 | + | 1.01380i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2852.00 | − | 2758.83i | −0.258183 | − | 0.249748i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4271.73i | 0.383224i | 0.981471 | + | 0.191612i | \(0.0613716\pi\) | ||||
−0.981471 | + | 0.191612i | \(0.938628\pi\) | |||||||
\(500\) | −9849.87 | − | 3984.47i | −0.880999 | − | 0.356382i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1020.00 | − | 1512.90i | −0.0906869 | − | 0.134510i | ||||
\(503\) | 900.560 | 0.0798290 | 0.0399145 | − | 0.999203i | \(-0.487291\pi\) | ||||
0.0399145 | + | 0.999203i | \(0.487291\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3560.00 | 0.313699 | ||||||||
\(506\) | 9005.60 | + | 13357.5i | 0.791201 | + | 1.17354i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7590.00 | − | 18763.0i | 0.662897 | − | 1.63873i | ||||
\(509\) | 853.815i | 0.0743510i | 0.999309 | + | 0.0371755i | \(0.0118361\pi\) | ||||
−0.999309 | + | 0.0371755i | \(0.988164\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 300.000 | 0.0259711 | ||||||||
\(512\) | 6791.72 | + | 9385.64i | 0.586239 | + | 0.810138i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4224.00 | − | 2847.82i | 0.362476 | − | 0.244381i | ||||
\(515\) | 3605.00i | 0.308457i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 17086.9i | 1.45354i | ||||||||
\(518\) | 938.083 | + | 1391.40i | 0.0795695 | + | 0.118021i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1760.00 | − | 8306.14i | −0.148425 | − | 0.700478i | ||||
\(521\) | 7879.90 | 0.662619 | 0.331310 | − | 0.943522i | \(-0.392510\pi\) | ||||
0.331310 | + | 0.943522i | \(0.392510\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10323.3i | 0.863114i | 0.902086 | + | 0.431557i | \(0.142036\pi\) | ||||
−0.902086 | + | 0.431557i | \(0.857964\pi\) | |||||||
\(524\) | 1876.17 | + | 758.947i | 0.156414 | + | 0.0632724i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15488.0 | + | 10442.0i | −1.28386 | + | 0.865576i | ||||
\(527\) | 4652.89 | 0.384598 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10361.0 | 0.851566 | ||||||||
\(530\) | 1969.97 | − | 1328.16i | 0.161453 | − | 0.108852i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8800.00 | + | 3559.78i | 0.717159 | + | 0.290105i | ||||
\(533\) | 22262.4i | 1.80918i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8160.00 | 0.659416 | ||||||||
\(536\) | −15759.8 | + | 3339.37i | −1.27000 | + | 0.269102i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9570.00 | − | 14194.6i | −0.766900 | − | 1.13750i | ||||
\(539\) | 9221.20i | 0.736893i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 15603.7i | − | 1.24003i | −0.784591 | − | 0.620014i | \(-0.787127\pi\) | ||
0.784591 | − | 0.620014i | \(-0.212873\pi\) | |||||||
\(542\) | 15014.0 | − | 10122.5i | 1.18987 | − | 0.802208i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13376.0 | − | 2373.18i | −1.05421 | − | 0.187039i | ||||
\(545\) | 10881.8 | 0.855273 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2254.52i | 0.176228i | 0.996110 | + | 0.0881138i | \(0.0280839\pi\) | ||||
−0.996110 | + | 0.0881138i | \(0.971916\pi\) | |||||||
\(548\) | −2026.26 | + | 5009.05i | −0.157952 | + | 0.390467i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5100.00 | − | 7564.52i | −0.395390 | − | 0.586459i | ||||
\(551\) | −29268.2 | −2.26292 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 940.000 | 0.0722837 | ||||||||
\(554\) | 3283.29 | + | 4869.91i | 0.251794 | + | 0.373470i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1760.00 | − | 711.955i | −0.134246 | − | 0.0543051i | ||||
\(557\) | 284.605i | 0.0216501i | 0.999941 | + | 0.0108250i | \(0.00344579\pi\) | ||||
−0.999941 | + | 0.0108250i | \(0.996554\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7040.00 | 0.532666 | ||||||||
\(560\) | −2814.25 | + | 2909.30i | −0.212364 | + | 0.219536i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 21120.0 | − | 14239.1i | 1.58522 | − | 1.06875i | ||||
\(563\) | − | 18328.6i | − | 1.37204i | −0.727584 | − | 0.686018i | \(-0.759357\pi\) | ||
0.727584 | − | 0.686018i | \(-0.240643\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8543.46i | 0.636152i | ||||||||
\(566\) | 8255.13 | + | 12244.3i | 0.613055 | + | 0.909307i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7879.90 | 0.580567 | 0.290283 | − | 0.956941i | \(-0.406250\pi\) | ||||
0.290283 | + | 0.956941i | \(0.406250\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8306.14i | 0.608759i | 0.952551 | + | 0.304379i | \(0.0984491\pi\) | ||||
−0.952551 | + | 0.304379i | \(0.901551\pi\) | |||||||
\(572\) | 6754.20 | − | 16696.8i | 0.493719 | − | 1.22051i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8800.00 | − | 5932.96i | 0.639904 | − | 0.431423i | ||||
\(575\) | −12757.9 | −0.925291 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6330.00 | −0.456709 | −0.228355 | − | 0.973578i | \(-0.573335\pi\) | ||||
−0.228355 | + | 0.973578i | \(0.573335\pi\) | |||||||
\(578\) | 1686.20 | − | 1136.84i | 0.121344 | − | 0.0818101i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4680.00 | − | 11569.3i | 0.335046 | − | 0.828255i | ||||
\(581\) | 6704.03i | 0.478709i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5040.00 | 0.358037 | ||||||||
\(584\) | −140.712 | − | 664.078i | −0.00997042 | − | 0.0470544i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8370.00 | + | 12414.7i | 0.590037 | + | 0.875166i | ||||
\(587\) | 1922.66i | 0.135191i | 0.997713 | + | 0.0675953i | \(0.0215327\pi\) | ||||
−0.997713 | + | 0.0675953i | \(0.978467\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7356.87i | 0.514660i | ||||||||
\(590\) | −10881.8 | + | 7336.48i | −0.759314 | + | 0.511929i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2640.00 | − | 2729.16i | 0.183283 | − | 0.189473i | ||||
\(593\) | 10356.4 | 0.717180 | 0.358590 | − | 0.933495i | \(-0.383258\pi\) | ||||
0.358590 | + | 0.933495i | \(0.383258\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 4746.37i | − | 0.327029i | ||||||
\(596\) | −21810.4 | − | 8822.75i | −1.49898 | − | 0.606366i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14080.0 | − | 20884.0i | −0.962833 | − | 1.42811i | ||||
\(599\) | 750.467 | 0.0511907 | 0.0255954 | − | 0.999672i | \(-0.491852\pi\) | ||||
0.0255954 | + | 0.999672i | \(0.491852\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18578.0 | 1.26092 | 0.630460 | − | 0.776222i | \(-0.282866\pi\) | ||||
0.630460 | + | 0.776222i | \(0.282866\pi\) | |||||||
\(602\) | −1876.17 | − | 2782.80i | −0.127021 | − | 0.188403i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6786.00 | + | 16775.4i | −0.457150 | + | 1.13010i | ||||
\(605\) | 689.377i | 0.0463259i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8030.00 | −0.536948 | −0.268474 | − | 0.963287i | \(-0.586519\pi\) | ||||
−0.268474 | + | 0.963287i | \(0.586519\pi\) | |||||||
\(608\) | 3752.33 | − | 21149.3i | 0.250291 | − | 1.41072i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7920.00 | + | 5339.66i | −0.525691 | + | 0.354421i | ||||
\(611\) | − | 26714.9i | − | 1.76885i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3856.42i | 0.254094i | 0.991897 | + | 0.127047i | \(0.0405499\pi\) | ||||
−0.991897 | + | 0.127047i | \(0.959450\pi\) | |||||||
\(614\) | 7879.90 | + | 11687.8i | 0.517926 | + | 0.768209i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8400.00 | + | 1779.89i | −0.549425 | + | 0.116418i | ||||
\(617\) | 300.187 | 0.0195868 | 0.00979340 | − | 0.999952i | \(-0.496883\pi\) | ||||
0.00979340 | + | 0.999952i | \(0.496883\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 1423.91i | − | 0.0924584i | −0.998931 | − | 0.0462292i | \(-0.985280\pi\) | ||
0.998931 | − | 0.0462292i | \(-0.0147205\pi\) | |||||||
\(620\) | −2908.06 | − | 1176.37i | −0.188372 | − | 0.0762001i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3520.00 | + | 2373.18i | −0.226912 | + | 0.152984i | ||||
\(623\) | −7504.67 | −0.482613 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2225.00 | 0.142400 | ||||||||
\(626\) | 14892.1 | − | 10040.2i | 0.950810 | − | 0.641036i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12760.0 | − | 5161.67i | −0.810795 | − | 0.327983i | ||||
\(629\) | 4452.49i | 0.282245i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12902.0 | −0.813979 | −0.406989 | − | 0.913433i | \(-0.633421\pi\) | ||||
−0.406989 | + | 0.913433i | \(0.633421\pi\) | |||||||
\(632\) | −440.899 | − | 2080.78i | −0.0277500 | − | 0.130964i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2750.00 | + | 4078.91i | 0.172266 | + | 0.255511i | ||||
\(635\) | − | 16001.1i | − | 0.999977i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 14417.1i | − | 0.896744i | ||||||
\(638\) | 21951.1 | − | 14799.5i | 1.36215 | − | 0.918364i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7760.00 | + | 4865.03i | 0.479283 | + | 0.300480i | ||||
\(641\) | 19887.4 | 1.22543 | 0.612717 | − | 0.790302i | \(-0.290076\pi\) | ||||
0.612717 | + | 0.790302i | \(0.290076\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29783.5i | 1.82666i | 0.407216 | + | 0.913332i | \(0.366500\pi\) | ||||
−0.407216 | + | 0.913332i | \(0.633500\pi\) | |||||||
\(644\) | −4502.80 | + | 11131.2i | −0.275520 | + | 0.681105i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 14080.0 | + | 20884.0i | 0.857539 | + | 1.27194i | ||||
\(647\) | 13958.7 | 0.848180 | 0.424090 | − | 0.905620i | \(-0.360594\pi\) | ||||
0.424090 | + | 0.905620i | \(0.360594\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −27840.0 | −1.68385 | ||||||||
\(650\) | 7973.71 | + | 11826.9i | 0.481161 | + | 0.713677i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14960.0 | + | 6051.62i | 0.898587 | + | 0.363496i | ||||
\(653\) | − | 18461.4i | − | 1.10635i | −0.833064 | − | 0.553177i | \(-0.813415\pi\) | ||
0.833064 | − | 0.553177i | \(-0.186585\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1600.00 | 0.0954461 | ||||||||
\(656\) | −17260.7 | − | 16696.8i | −1.02731 | − | 0.993752i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −10560.0 | + | 7119.55i | −0.625641 | + | 0.421807i | ||||
\(659\) | 5160.84i | 0.305065i | 0.988298 | + | 0.152532i | \(0.0487428\pi\) | ||||
−0.988298 | + | 0.152532i | \(0.951257\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 13467.8i | − | 0.792492i | −0.918144 | − | 0.396246i | \(-0.870313\pi\) | ||
0.918144 | − | 0.396246i | \(-0.129687\pi\) | |||||||
\(662\) | −5253.27 | − | 7791.85i | −0.308420 | − | 0.457461i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 14840.0 | − | 3144.47i | 0.867325 | − | 0.183779i | ||||
\(665\) | 7504.67 | 0.437622 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 37021.7i | − | 2.14915i | ||||||
\(668\) | 3151.96 | − | 7791.85i | 0.182564 | − | 0.451311i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10560.0 | + | 7119.55i | −0.608908 | + | 0.410526i | ||||
\(671\) | −20262.6 | −1.16577 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15010.0 | −0.859722 | −0.429861 | − | 0.902895i | \(-0.641437\pi\) | ||||
−0.429861 | + | 0.902895i | \(0.641437\pi\) | |||||||
\(674\) | −3353.65 | + | 2261.03i | −0.191658 | + | 0.129216i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3969.00 | + | 9811.63i | −0.225819 | + | 0.558240i | ||||
\(677\) | − | 6280.28i | − | 0.356530i | −0.983983 | − | 0.178265i | \(-0.942952\pi\) | ||
0.983983 | − | 0.178265i | \(-0.0570485\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1300.00 | 0.0734748 | ||||||||
\(680\) | −10506.5 | + | 2226.24i | −0.592510 | + | 0.125548i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3720.00 | − | 5517.65i | −0.208865 | − | 0.309797i | ||||
\(683\) | 12510.0i | 0.700850i | 0.936591 | + | 0.350425i | \(0.113963\pi\) | ||||
−0.936591 | + | 0.350425i | \(0.886037\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4271.73i | 0.238269i | ||||||||
\(686\) | −13742.9 | + | 9265.47i | −0.764879 | + | 0.515681i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5280.00 | + | 5458.32i | −0.292584 | + | 0.302466i | ||||
\(689\) | −7879.90 | −0.435704 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 28359.5i | − | 1.56128i | −0.624978 | − | 0.780642i | \(-0.714892\pi\) | ||
0.624978 | − | 0.780642i | \(-0.285108\pi\) | |||||||
\(692\) | 10553.4 | + | 4269.07i | 0.579742 | + | 0.234517i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 15980.0 | + | 23702.2i | 0.874053 | + | 1.29643i | ||||
\(695\) | −1500.93 | −0.0819189 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 28160.0 | 1.53032 | ||||||||
\(698\) | 1782.36 | + | 2643.66i | 0.0966522 | + | 0.143358i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2550.00 | − | 6303.77i | 0.137687 | − | 0.340372i | ||||
\(701\) | 19802.2i | 1.06693i | 0.845822 | + | 0.533465i | \(0.179110\pi\) | ||||
−0.845822 | + | 0.533465i | \(0.820890\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7040.00 | −0.377694 | ||||||||
\(704\) | 7879.90 | + | 17759.4i | 0.421853 | + | 0.950754i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3168.00 | − | 2135.87i | 0.168880 | − | 0.113859i | ||||
\(707\) | 5628.85i | 0.299427i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 12874.5i | − | 0.681964i | −0.940070 | − | 0.340982i | \(-0.889240\pi\) | ||
0.940070 | − | 0.340982i | \(-0.110760\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3520.00 | + | 16612.3i | 0.185277 | + | 0.874398i | ||||
\(713\) | −9305.78 | −0.488786 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 14239.1i | − | 0.744772i | ||||||
\(716\) | −938.083 | − | 379.473i | −0.0489634 | − | 0.0198067i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 28160.0 | − | 18985.5i | 1.46368 | − | 0.986813i | ||||
\(719\) | −1500.93 | −0.0778517 | −0.0389258 | − | 0.999242i | \(-0.512394\pi\) | ||||
−0.0389258 | + | 0.999242i | \(0.512394\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5700.00 | −0.294423 | ||||||||
\(722\) | −16934.7 | + | 11417.4i | −0.872917 | + | 0.588520i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −440.000 | − | 177.989i | −0.0225863 | − | 0.00913660i | ||||
\(725\) | 20965.9i | 1.07401i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23850.0 | 1.21671 | 0.608355 | − | 0.793665i | \(-0.291830\pi\) | ||||
0.608355 | + | 0.793665i | \(0.291830\pi\) | |||||||
\(728\) | 13133.2 | − | 2782.80i | 0.668609 | − | 0.141673i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −300.000 | − | 444.972i | −0.0152103 | − | 0.0225605i | ||||
\(731\) | − | 8904.97i | − | 0.450564i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2195.19i | 0.110616i | 0.998469 | + | 0.0553079i | \(0.0176140\pi\) | ||||
−0.998469 | + | 0.0553079i | \(0.982386\pi\) | |||||||
\(734\) | 11890.2 | − | 8016.37i | 0.597923 | − | 0.403120i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26752.0 | + | 4746.37i | 1.33980 | + | 0.237708i | ||||
\(737\) | −27016.8 | −1.35031 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 2610.50i | − | 0.129944i | −0.997887 | − | 0.0649722i | \(-0.979304\pi\) | ||
0.997887 | − | 0.0649722i | \(-0.0206959\pi\) | |||||||
\(740\) | 1125.70 | − | 2782.80i | 0.0559210 | − | 0.138240i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2100.00 | + | 3114.80i | 0.103899 | + | 0.154108i | ||||
\(743\) | 2851.77 | 0.140809 | 0.0704047 | − | 0.997519i | \(-0.477571\pi\) | ||||
0.0704047 | + | 0.997519i | \(0.477571\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18600.0 | −0.914700 | ||||||||
\(746\) | 3846.14 | + | 5704.75i | 0.188763 | + | 0.279981i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −21120.0 | − | 8543.46i | −1.03238 | − | 0.417620i | ||||
\(749\) | 12902.1i | 0.629416i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −20578.0 | −0.999869 | −0.499935 | − | 0.866063i | \(-0.666643\pi\) | ||||
−0.499935 | + | 0.866063i | \(0.666643\pi\) | |||||||
\(752\) | 20712.9 | + | 20036.2i | 1.00442 | + | 0.971602i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −34320.0 | + | 23138.5i | −1.65764 | + | 1.11758i | ||||
\(755\) | 14306.1i | 0.689608i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 20468.7i | − | 0.982758i | −0.870946 | − | 0.491379i | \(-0.836493\pi\) | ||
0.870946 | − | 0.491379i | \(-0.163507\pi\) | |||||||
\(758\) | −12195.1 | − | 18088.2i | −0.584361 | − | 0.866747i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3520.00 | − | 16612.3i | −0.168005 | − | 0.792883i | ||||
\(761\) | 22138.8 | 1.05457 | 0.527286 | − | 0.849688i | \(-0.323210\pi\) | ||||
0.527286 | + | 0.849688i | \(0.323210\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17205.6i | 0.816362i | ||||||||
\(764\) | −11257.0 | + | 27828.0i | −0.533068 | + | 1.31778i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13728.0 | − | 9255.42i | 0.647536 | − | 0.436569i | ||||
\(767\) | 43527.1 | 2.04911 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6854.00 | −0.321406 | −0.160703 | − | 0.987003i | \(-0.551376\pi\) | ||||
−0.160703 | + | 0.987003i | \(0.551376\pi\) | |||||||
\(770\) | −5628.50 | + | 3794.73i | −0.263425 | + | 0.177601i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4050.00 | + | 10011.9i | −0.188812 | + | 0.466755i | ||||
\(773\) | − | 38902.3i | − | 1.81012i | −0.425288 | − | 0.905058i | \(-0.639827\pi\) | ||
0.425288 | − | 0.905058i | \(-0.360173\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5270.00 | 0.244263 | ||||||||
\(776\) | −609.754 | − | 2877.67i | −0.0282073 | − | 0.133122i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3410.00 | − | 5057.85i | −0.157139 | − | 0.233075i | ||||
\(779\) | 44524.9i | 2.04784i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −26416.4 | + | 17809.9i | −1.20799 | + | 0.814428i | ||||