Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,4,Mod(361,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, 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("882.361");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.g (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: | \(52.0396846251\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 2x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 98) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 667.1 | ||
Root | \(-0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.667 |
Dual form | 882.4.g.ba.361.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.00000 | − | 3.46410i | −0.250000 | − | 0.433013i | ||||
\(5\) | −9.89949 | + | 17.1464i | −0.885438 | + | 1.53362i | −0.0402266 | + | 0.999191i | \(0.512808\pi\) |
−0.845211 | + | 0.534433i | \(0.820525\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 8.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −19.7990 | − | 34.2929i | −0.626099 | − | 1.08444i | ||||
\(11\) | −7.00000 | − | 12.1244i | −0.191871 | − | 0.332330i | 0.753999 | − | 0.656875i | \(-0.228122\pi\) |
−0.945870 | + | 0.324545i | \(0.894789\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 50.9117 | 1.08618 | 0.543091 | − | 0.839674i | \(-0.317254\pi\) | ||||
0.543091 | + | 0.839674i | \(0.317254\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.00000 | + | 13.8564i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.707107 | + | 1.22474i | 0.0100882 | + | 0.0174732i | 0.871025 | − | 0.491238i | \(-0.163455\pi\) |
−0.860937 | + | 0.508711i | \(0.830122\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.707107 | − | 1.22474i | 0.00853797 | − | 0.0147882i | −0.861725 | − | 0.507376i | \(-0.830616\pi\) |
0.870263 | + | 0.492588i | \(0.163949\pi\) | |||||||
\(20\) | 79.1960 | 0.885438 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 28.0000 | 0.271346 | ||||||||
\(23\) | 70.0000 | − | 121.244i | 0.634609 | − | 1.09918i | −0.351989 | − | 0.936004i | \(-0.614494\pi\) |
0.986598 | − | 0.163171i | \(-0.0521722\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −133.500 | − | 231.229i | −1.06800 | − | 1.84983i | ||||
\(26\) | −50.9117 | + | 88.1816i | −0.384023 | + | 0.665148i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 286.000 | 1.83134 | 0.915670 | − | 0.401931i | \(-0.131661\pi\) | ||||
0.915670 | + | 0.401931i | \(0.131661\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 46.6690 | + | 80.8332i | 0.270387 | + | 0.468325i | 0.968961 | − | 0.247213i | \(-0.0795149\pi\) |
−0.698574 | + | 0.715538i | \(0.746182\pi\) | |||||||
\(32\) | −16.0000 | − | 27.7128i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.82843 | −0.0142668 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 19.0000 | − | 32.9090i | 0.0844211 | − | 0.146222i | −0.820723 | − | 0.571326i | \(-0.806429\pi\) |
0.905144 | + | 0.425104i | \(0.139763\pi\) | |||||||
\(38\) | 1.41421 | + | 2.44949i | 0.00603726 | + | 0.0104568i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −79.1960 | + | 137.171i | −0.313050 | + | 0.542218i | ||||
\(41\) | 125.865 | 0.479434 | 0.239717 | − | 0.970843i | \(-0.422945\pi\) | ||||
0.239717 | + | 0.970843i | \(0.422945\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −34.0000 | −0.120580 | −0.0602901 | − | 0.998181i | \(-0.519203\pi\) | ||||
−0.0602901 | + | 0.998181i | \(0.519203\pi\) | |||||||
\(44\) | −28.0000 | + | 48.4974i | −0.0959354 | + | 0.166165i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 140.000 | + | 242.487i | 0.448736 | + | 0.777234i | ||||
\(47\) | 261.630 | − | 453.156i | 0.811970 | − | 1.40637i | −0.0995134 | − | 0.995036i | \(-0.531729\pi\) |
0.911483 | − | 0.411337i | \(-0.134938\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 534.000 | 1.51038 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −101.823 | − | 176.363i | −0.271545 | − | 0.470330i | ||||
\(53\) | −37.0000 | − | 64.0859i | −0.0958932 | − | 0.166092i | 0.814088 | − | 0.580742i | \(-0.197237\pi\) |
−0.909981 | + | 0.414650i | \(0.863904\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 277.186 | 0.679559 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −286.000 | + | 495.367i | −0.647477 | + | 1.12146i | ||||
\(59\) | 217.082 | + | 375.997i | 0.479011 | + | 0.829671i | 0.999710 | − | 0.0240689i | \(-0.00766211\pi\) |
−0.520699 | + | 0.853740i | \(0.674329\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.07107 | + | 12.2474i | −0.0148419 | + | 0.0257070i | −0.873351 | − | 0.487091i | \(-0.838058\pi\) |
0.858509 | + | 0.512798i | \(0.171391\pi\) | |||||||
\(62\) | −186.676 | −0.382385 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | −504.000 | + | 872.954i | −0.961746 | + | 1.66579i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −342.000 | − | 592.361i | −0.623611 | − | 1.08013i | −0.988808 | − | 0.149196i | \(-0.952332\pi\) |
0.365196 | − | 0.930930i | \(-0.381002\pi\) | |||||||
\(68\) | 2.82843 | − | 4.89898i | 0.00504408 | − | 0.00873660i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −588.000 | −0.982856 | −0.491428 | − | 0.870918i | \(-0.663525\pi\) | ||||
−0.491428 | + | 0.870918i | \(0.663525\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 135.057 | + | 233.926i | 0.216538 | + | 0.375055i | 0.953747 | − | 0.300610i | \(-0.0971902\pi\) |
−0.737209 | + | 0.675664i | \(0.763857\pi\) | |||||||
\(74\) | 38.0000 | + | 65.8179i | 0.0596947 | + | 0.103394i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.65685 | −0.00853797 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −610.000 | + | 1056.55i | −0.868739 | + | 1.50470i | −0.00545246 | + | 0.999985i | \(0.501736\pi\) |
−0.863286 | + | 0.504715i | \(0.831598\pi\) | |||||||
\(80\) | −158.392 | − | 274.343i | −0.221359 | − | 0.383406i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −125.865 | + | 218.005i | −0.169506 | + | 0.293592i | ||||
\(83\) | −422.850 | −0.559202 | −0.279601 | − | 0.960116i | \(-0.590202\pi\) | ||||
−0.279601 | + | 0.960116i | \(0.590202\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −28.0000 | −0.0357297 | ||||||||
\(86\) | 34.0000 | − | 58.8897i | 0.0426316 | − | 0.0738400i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −56.0000 | − | 96.9948i | −0.0678366 | − | 0.117496i | ||||
\(89\) | 309.006 | − | 535.214i | 0.368028 | − | 0.637444i | −0.621229 | − | 0.783629i | \(-0.713366\pi\) |
0.989257 | + | 0.146185i | \(0.0466996\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −560.000 | −0.634609 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 523.259 | + | 906.311i | 0.574149 | + | 0.994456i | ||||
\(95\) | 14.0000 | + | 24.2487i | 0.0151197 | + | 0.0261881i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1483.51 | 1.55286 | 0.776431 | − | 0.630202i | \(-0.217028\pi\) | ||||
0.776431 | + | 0.630202i | \(0.217028\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −534.000 | + | 924.915i | −0.534000 | + | 0.924915i | ||||
\(101\) | 564.271 | + | 977.346i | 0.555912 | + | 0.962867i | 0.997832 | + | 0.0658130i | \(0.0209641\pi\) |
−0.441920 | + | 0.897054i | \(0.645703\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 434.164 | − | 751.993i | 0.415334 | − | 0.719380i | −0.580129 | − | 0.814524i | \(-0.696998\pi\) |
0.995463 | + | 0.0951446i | \(0.0303314\pi\) | |||||||
\(104\) | 407.294 | 0.384023 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 148.000 | 0.135613 | ||||||||
\(107\) | −842.000 | + | 1458.39i | −0.760740 | + | 1.31764i | 0.181729 | + | 0.983349i | \(0.441831\pi\) |
−0.942469 | + | 0.334292i | \(0.891503\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 409.000 | + | 708.409i | 0.359405 | + | 0.622507i | 0.987861 | − | 0.155337i | \(-0.0496465\pi\) |
−0.628457 | + | 0.777844i | \(0.716313\pi\) | |||||||
\(110\) | −277.186 | + | 480.100i | −0.240260 | + | 0.416143i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 540.000 | 0.449548 | 0.224774 | − | 0.974411i | \(-0.427836\pi\) | ||||
0.224774 | + | 0.974411i | \(0.427836\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1385.93 | + | 2400.50i | 1.12381 | + | 1.94650i | ||||
\(116\) | −572.000 | − | 990.733i | −0.457835 | − | 0.792994i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −868.327 | −0.677424 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 567.500 | − | 982.939i | 0.426371 | − | 0.738496i | ||||
\(122\) | −14.1421 | − | 24.4949i | −0.0104948 | − | 0.0181776i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 186.676 | − | 323.333i | 0.135194 | − | 0.234162i | ||||
\(125\) | 2811.46 | 2.01171 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1720.00 | 1.20177 | 0.600887 | − | 0.799334i | \(-0.294814\pi\) | ||||
0.600887 | + | 0.799334i | \(0.294814\pi\) | |||||||
\(128\) | −64.0000 | + | 110.851i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1008.00 | − | 1745.91i | −0.680057 | − | 1.17789i | ||||
\(131\) | −867.620 | + | 1502.76i | −0.578659 | + | 1.00227i | 0.416975 | + | 0.908918i | \(0.363090\pi\) |
−0.995634 | + | 0.0933484i | \(0.970243\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1368.00 | 0.881919 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.65685 | + | 9.79796i | 0.00356670 | + | 0.00617771i | ||||
\(137\) | 414.000 | + | 717.069i | 0.258178 | + | 0.447178i | 0.965754 | − | 0.259460i | \(-0.0835445\pi\) |
−0.707576 | + | 0.706638i | \(0.750211\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −425.678 | −0.259752 | −0.129876 | − | 0.991530i | \(-0.541458\pi\) | ||||
−0.129876 | + | 0.991530i | \(0.541458\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 588.000 | − | 1018.45i | 0.347492 | − | 0.601874i | ||||
\(143\) | −356.382 | − | 617.271i | −0.208407 | − | 0.360971i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2831.26 | + | 4903.88i | −1.62154 | + | 2.80859i | ||||
\(146\) | −540.230 | −0.306231 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −152.000 | −0.0844211 | ||||||||
\(149\) | 1025.00 | − | 1775.35i | 0.563566 | − | 0.976124i | −0.433616 | − | 0.901098i | \(-0.642763\pi\) |
0.997182 | − | 0.0750264i | \(-0.0239041\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 236.000 | + | 408.764i | 0.127188 | + | 0.220296i | 0.922586 | − | 0.385791i | \(-0.126071\pi\) |
−0.795398 | + | 0.606087i | \(0.792738\pi\) | |||||||
\(152\) | 5.65685 | − | 9.79796i | 0.00301863 | − | 0.00522842i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1848.00 | −0.957645 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1105.92 | + | 1915.50i | 0.562176 | + | 0.973717i | 0.997306 | + | 0.0733498i | \(0.0233690\pi\) |
−0.435130 | + | 0.900367i | \(0.643298\pi\) | |||||||
\(158\) | −1220.00 | − | 2113.10i | −0.614291 | − | 1.06398i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 633.568 | 0.313050 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1643.00 | + | 2845.76i | −0.789507 | + | 1.36747i | 0.136762 | + | 0.990604i | \(0.456331\pi\) |
−0.926269 | + | 0.376863i | \(0.877003\pi\) | |||||||
\(164\) | −251.730 | − | 436.009i | −0.119859 | − | 0.207601i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 422.850 | − | 732.397i | 0.197708 | − | 0.342440i | ||||
\(167\) | 1490.58 | 0.690686 | 0.345343 | − | 0.938476i | \(-0.387763\pi\) | ||||
0.345343 | + | 0.938476i | \(0.387763\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 395.000 | 0.179791 | ||||||||
\(170\) | 28.0000 | − | 48.4974i | 0.0126324 | − | 0.0218799i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 68.0000 | + | 117.779i | 0.0301451 | + | 0.0522128i | ||||
\(173\) | −1035.20 | + | 1793.03i | −0.454943 | + | 0.787984i | −0.998685 | − | 0.0512682i | \(-0.983674\pi\) |
0.543742 | + | 0.839252i | \(0.317007\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 224.000 | 0.0959354 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 618.011 | + | 1070.43i | 0.260235 | + | 0.450741i | ||||
\(179\) | 270.000 | + | 467.654i | 0.112742 | + | 0.195274i | 0.916875 | − | 0.399175i | \(-0.130703\pi\) |
−0.804133 | + | 0.594449i | \(0.797370\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3784.44 | 1.55412 | 0.777058 | − | 0.629429i | \(-0.216711\pi\) | ||||
0.777058 | + | 0.629429i | \(0.216711\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 560.000 | − | 969.948i | 0.224368 | − | 0.388617i | ||||
\(185\) | 376.181 | + | 651.564i | 0.149499 | + | 0.258940i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.89949 | − | 17.1464i | 0.00387124 | − | 0.00670519i | ||||
\(188\) | −2093.04 | −0.811970 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −56.0000 | −0.0213825 | ||||||||
\(191\) | 514.000 | − | 890.274i | 0.194721 | − | 0.337267i | −0.752088 | − | 0.659063i | \(-0.770953\pi\) |
0.946809 | + | 0.321796i | \(0.104286\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2296.00 | − | 3976.79i | −0.856320 | − | 1.48319i | −0.875415 | − | 0.483372i | \(-0.839412\pi\) |
0.0190956 | − | 0.999818i | \(-0.493921\pi\) | |||||||
\(194\) | −1483.51 | + | 2569.51i | −0.549020 | + | 0.950930i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −794.000 | −0.287158 | −0.143579 | − | 0.989639i | \(-0.545861\pi\) | ||||
−0.143579 | + | 0.989639i | \(0.545861\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1243.09 | − | 2153.10i | −0.442817 | − | 0.766981i | 0.555080 | − | 0.831797i | \(-0.312688\pi\) |
−0.997897 | + | 0.0648153i | \(0.979354\pi\) | |||||||
\(200\) | −1068.00 | − | 1849.83i | −0.377595 | − | 0.654014i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2257.08 | −0.786178 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1246.00 | + | 2158.14i | −0.424509 | + | 0.735272i | ||||
\(206\) | 868.327 | + | 1503.99i | 0.293686 | + | 0.508678i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −407.294 | + | 705.453i | −0.135773 | + | 0.235165i | ||||
\(209\) | −19.7990 | −0.00655275 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2748.00 | −0.896588 | −0.448294 | − | 0.893886i | \(-0.647968\pi\) | ||||
−0.448294 | + | 0.893886i | \(0.647968\pi\) | |||||||
\(212\) | −148.000 | + | 256.344i | −0.0479466 | + | 0.0830460i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1684.00 | − | 2916.77i | −0.537925 | − | 0.931713i | ||||
\(215\) | 336.583 | − | 582.979i | 0.106766 | − | 0.184925i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1636.00 | −0.508275 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −554.372 | − | 960.200i | −0.169890 | − | 0.294258i | ||||
\(221\) | 36.0000 | + | 62.3538i | 0.0109576 | + | 0.0189791i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3428.05 | −1.02941 | −0.514707 | − | 0.857366i | \(-0.672099\pi\) | ||||
−0.514707 | + | 0.857366i | \(0.672099\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −540.000 | + | 935.307i | −0.158939 | + | 0.275291i | ||||
\(227\) | 2645.29 | + | 4581.77i | 0.773453 | + | 1.33966i | 0.935660 | + | 0.352903i | \(0.114805\pi\) |
−0.162207 | + | 0.986757i | \(0.551861\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1374.62 | − | 2380.90i | 0.396669 | − | 0.687051i | −0.596644 | − | 0.802506i | \(-0.703499\pi\) |
0.993313 | + | 0.115456i | \(0.0368328\pi\) | |||||||
\(230\) | −5543.72 | −1.58931 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2288.00 | 0.647477 | ||||||||
\(233\) | 36.0000 | − | 62.3538i | 0.0101221 | − | 0.0175319i | −0.860920 | − | 0.508740i | \(-0.830111\pi\) |
0.871042 | + | 0.491208i | \(0.163445\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5180.00 | + | 8972.02i | 1.43790 | + | 2.49051i | ||||
\(236\) | 868.327 | − | 1503.99i | 0.239505 | − | 0.414836i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4308.00 | −1.16595 | −0.582974 | − | 0.812491i | \(-0.698111\pi\) | ||||
−0.582974 | + | 0.812491i | \(0.698111\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 770.039 | + | 1333.75i | 0.205820 | + | 0.356490i | 0.950394 | − | 0.311050i | \(-0.100681\pi\) |
−0.744574 | + | 0.667540i | \(0.767347\pi\) | |||||||
\(242\) | 1135.00 | + | 1965.88i | 0.301490 | + | 0.522196i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 56.5685 | 0.0148419 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 36.0000 | − | 62.3538i | 0.00927379 | − | 0.0160627i | ||||
\(248\) | 373.352 | + | 646.665i | 0.0955964 | + | 0.165578i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2811.46 | + | 4869.59i | −0.711249 | + | 1.23192i | ||||
\(251\) | −931.967 | −0.234363 | −0.117182 | − | 0.993110i | \(-0.537386\pi\) | ||||
−0.117182 | + | 0.993110i | \(0.537386\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1960.00 | −0.487052 | ||||||||
\(254\) | −1720.00 | + | 2979.13i | −0.424891 | + | 0.735933i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −128.000 | − | 221.703i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 468.812 | − | 812.006i | 0.113789 | − | 0.197088i | −0.803506 | − | 0.595296i | \(-0.797035\pi\) |
0.917295 | + | 0.398209i | \(0.130368\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4032.00 | 0.961746 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1735.24 | − | 3005.52i | −0.409174 | − | 0.708709i | ||||
\(263\) | 3570.00 | + | 6183.42i | 0.837018 | + | 1.44976i | 0.892377 | + | 0.451291i | \(0.149036\pi\) |
−0.0553595 | + | 0.998466i | \(0.517630\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1465.13 | 0.339630 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1368.00 | + | 2369.45i | −0.311806 | + | 0.540063i | ||||
\(269\) | 2305.17 | + | 3992.67i | 0.522485 | + | 0.904971i | 0.999658 | + | 0.0261615i | \(0.00832843\pi\) |
−0.477172 | + | 0.878810i | \(0.658338\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1182.28 | − | 2047.77i | 0.265013 | − | 0.459016i | −0.702554 | − | 0.711630i | \(-0.747957\pi\) |
0.967567 | + | 0.252614i | \(0.0812904\pi\) | |||||||
\(272\) | −22.6274 | −0.00504408 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1656.00 | −0.365119 | ||||||||
\(275\) | −1869.00 | + | 3237.20i | −0.409836 | + | 0.709857i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2003.00 | − | 3469.30i | −0.434472 | − | 0.752527i | 0.562781 | − | 0.826606i | \(-0.309731\pi\) |
−0.997252 | + | 0.0740794i | \(0.976398\pi\) | |||||||
\(278\) | 425.678 | − | 737.296i | 0.0918363 | − | 0.159065i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5984.00 | 1.27038 | 0.635188 | − | 0.772358i | \(-0.280923\pi\) | ||||
0.635188 | + | 0.772358i | \(0.280923\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2464.27 | + | 4268.24i | 0.517617 | + | 0.896538i | 0.999791 | + | 0.0204627i | \(0.00651393\pi\) |
−0.482174 | + | 0.876075i | \(0.660153\pi\) | |||||||
\(284\) | 1176.00 | + | 2036.89i | 0.245714 | + | 0.425589i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1425.53 | 0.294731 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2455.50 | − | 4253.05i | 0.499796 | − | 0.865673i | ||||
\(290\) | −5662.51 | − | 9807.76i | −1.14660 | − | 1.98597i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 540.230 | − | 935.705i | 0.108269 | − | 0.187527i | ||||
\(293\) | −1971.41 | −0.393076 | −0.196538 | − | 0.980496i | \(-0.562970\pi\) | ||||
−0.196538 | + | 0.980496i | \(0.562970\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8596.00 | −1.69654 | ||||||||
\(296\) | 152.000 | − | 263.272i | 0.0298474 | − | 0.0516972i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2050.00 | + | 3550.70i | 0.398501 | + | 0.690224i | ||||
\(299\) | 3563.82 | − | 6172.71i | 0.689301 | − | 1.19390i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −944.000 | −0.179871 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.3137 | + | 19.5959i | 0.00213449 | + | 0.00369705i | ||||
\(305\) | −140.000 | − | 242.487i | −0.0262832 | − | 0.0455238i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4767.31 | −0.886270 | −0.443135 | − | 0.896455i | \(-0.646134\pi\) | ||||
−0.443135 | + | 0.896455i | \(0.646134\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1848.00 | − | 3200.83i | 0.338579 | − | 0.586435i | ||||
\(311\) | −3388.46 | − | 5868.98i | −0.617819 | − | 1.07009i | −0.989883 | − | 0.141887i | \(-0.954683\pi\) |
0.372064 | − | 0.928207i | \(-0.378650\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3095.01 | − | 5360.71i | 0.558914 | − | 0.968068i | −0.438673 | − | 0.898647i | \(-0.644551\pi\) |
0.997587 | − | 0.0694210i | \(-0.0221152\pi\) | |||||||
\(314\) | −4423.66 | −0.795037 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4880.00 | 0.868739 | ||||||||
\(317\) | 4913.00 | − | 8509.57i | 0.870478 | − | 1.50771i | 0.00897524 | − | 0.999960i | \(-0.497143\pi\) |
0.861503 | − | 0.507753i | \(-0.169524\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2002.00 | − | 3467.57i | −0.351381 | − | 0.608609i | ||||
\(320\) | −633.568 | + | 1097.37i | −0.110680 | + | 0.191703i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.00000 | 0.000344529 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6796.71 | − | 11772.2i | −1.16004 | − | 2.00925i | ||||
\(326\) | −3286.00 | − | 5691.52i | −0.558266 | − | 0.966945i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1006.92 | 0.169506 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2869.00 | − | 4969.25i | 0.476418 | − | 0.825181i | −0.523216 | − | 0.852200i | \(-0.675268\pi\) |
0.999635 | + | 0.0270189i | \(0.00860142\pi\) | |||||||
\(332\) | 845.700 | + | 1464.79i | 0.139801 | + | 0.242142i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1490.58 | + | 2581.76i | −0.244195 | + | 0.422957i | ||||
\(335\) | 13542.5 | 2.20868 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2254.00 | −0.364342 | −0.182171 | − | 0.983267i | \(-0.558312\pi\) | ||||
−0.182171 | + | 0.983267i | \(0.558312\pi\) | |||||||
\(338\) | −395.000 | + | 684.160i | −0.0635656 | + | 0.110099i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 56.0000 | + | 96.9948i | 0.00893243 | + | 0.0154714i | ||||
\(341\) | 653.367 | − | 1131.66i | 0.103759 | − | 0.179716i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −272.000 | −0.0426316 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2070.41 | − | 3586.05i | −0.321693 | − | 0.557189i | ||||
\(347\) | −993.000 | − | 1719.93i | −0.153623 | − | 0.266082i | 0.778934 | − | 0.627106i | \(-0.215761\pi\) |
−0.932557 | + | 0.361024i | \(0.882427\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6771.25 | 1.03856 | 0.519279 | − | 0.854605i | \(-0.326200\pi\) | ||||
0.519279 | + | 0.854605i | \(0.326200\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −224.000 | + | 387.979i | −0.0339183 | + | 0.0587482i | ||||
\(353\) | 3496.64 | + | 6056.36i | 0.527217 | + | 0.913166i | 0.999497 | + | 0.0317177i | \(0.0100978\pi\) |
−0.472280 | + | 0.881449i | \(0.656569\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5820.90 | − | 10082.1i | 0.870258 | − | 1.50733i | ||||
\(356\) | −2472.05 | −0.368028 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1080.00 | −0.159441 | ||||||||
\(359\) | 2972.00 | − | 5147.66i | 0.436925 | − | 0.756777i | −0.560525 | − | 0.828137i | \(-0.689401\pi\) |
0.997451 | + | 0.0713606i | \(0.0227341\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3428.50 | + | 5938.34i | 0.499854 | + | 0.865773i | ||||
\(362\) | −3784.44 | + | 6554.83i | −0.549463 | + | 0.951697i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5348.00 | −0.766924 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 421.436 | + | 729.948i | 0.0599421 | + | 0.103823i | 0.894439 | − | 0.447190i | \(-0.147575\pi\) |
−0.834497 | + | 0.551012i | \(0.814242\pi\) | |||||||
\(368\) | 1120.00 | + | 1939.90i | 0.158652 | + | 0.274794i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1504.72 | −0.211424 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2863.00 | − | 4958.86i | 0.397428 | − | 0.688365i | −0.595980 | − | 0.802999i | \(-0.703236\pi\) |
0.993408 | + | 0.114634i | \(0.0365696\pi\) | |||||||
\(374\) | 19.7990 | + | 34.2929i | 0.00273738 | + | 0.00474129i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2093.04 | − | 3625.24i | 0.287075 | − | 0.497228i | ||||
\(377\) | 14560.7 | 1.98917 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10330.0 | 1.40004 | 0.700022 | − | 0.714122i | \(-0.253174\pi\) | ||||
0.700022 | + | 0.714122i | \(0.253174\pi\) | |||||||
\(380\) | 56.0000 | − | 96.9948i | 0.00755984 | − | 0.0130940i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1028.00 | + | 1780.55i | 0.137689 | + | 0.238484i | ||||
\(383\) | 502.046 | − | 869.569i | 0.0669800 | − | 0.116013i | −0.830591 | − | 0.556884i | \(-0.811997\pi\) |
0.897571 | + | 0.440871i | \(0.145330\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9184.00 | 1.21102 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2967.02 | − | 5139.03i | −0.388216 | − | 0.672409i | ||||
\(389\) | 2605.00 | + | 4511.99i | 0.339534 | + | 0.588090i | 0.984345 | − | 0.176252i | \(-0.0563973\pi\) |
−0.644811 | + | 0.764342i | \(0.723064\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 197.990 | 0.0256081 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 794.000 | − | 1375.25i | 0.101526 | − | 0.175848i | ||||
\(395\) | −12077.4 | − | 20918.6i | −1.53843 | − | 2.66464i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 36.7696 | − | 63.6867i | 0.00464839 | − | 0.00805125i | −0.863692 | − | 0.504020i | \(-0.831854\pi\) |
0.868340 | + | 0.495969i | \(0.165187\pi\) | |||||||
\(398\) | 4972.37 | 0.626238 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4272.00 | 0.534000 | ||||||||
\(401\) | −249.000 | + | 431.281i | −0.0310086 | + | 0.0537085i | −0.881113 | − | 0.472905i | \(-0.843205\pi\) |
0.850105 | + | 0.526614i | \(0.176539\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2376.00 | + | 4115.35i | 0.293690 | + | 0.508686i | ||||
\(404\) | 2257.08 | − | 3909.39i | 0.277956 | − | 0.481434i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −532.000 | −0.0647918 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1677.96 | − | 2906.32i | −0.202861 | − | 0.351365i | 0.746588 | − | 0.665286i | \(-0.231691\pi\) |
−0.949449 | + | 0.313921i | \(0.898357\pi\) | |||||||
\(410\) | −2492.00 | − | 4316.27i | −0.300173 | − | 0.519916i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3473.31 | −0.415334 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4186.00 | − | 7250.36i | 0.495139 | − | 0.857606i | ||||
\(416\) | −814.587 | − | 1410.91i | −0.0960058 | − | 0.166287i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 19.7990 | − | 34.2929i | 0.00231675 | − | 0.00401272i | ||||
\(419\) | −14545.2 | −1.69589 | −0.847946 | − | 0.530082i | \(-0.822161\pi\) | ||||
−0.847946 | + | 0.530082i | \(0.822161\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10854.0 | 1.25651 | 0.628256 | − | 0.778007i | \(-0.283769\pi\) | ||||
0.628256 | + | 0.778007i | \(0.283769\pi\) | |||||||
\(422\) | 2748.00 | − | 4759.68i | 0.316992 | − | 0.549046i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −296.000 | − | 512.687i | −0.0339034 | − | 0.0587224i | ||||
\(425\) | 188.798 | − | 327.007i | 0.0215483 | − | 0.0373227i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6736.00 | 0.760740 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 673.166 | + | 1165.96i | 0.0754952 | + | 0.130762i | ||||
\(431\) | −2682.00 | − | 4645.36i | −0.299739 | − | 0.519163i | 0.676337 | − | 0.736592i | \(-0.263566\pi\) |
−0.976076 | + | 0.217429i | \(0.930233\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6487.00 | −0.719966 | −0.359983 | − | 0.932959i | \(-0.617217\pi\) | ||||
−0.359983 | + | 0.932959i | \(0.617217\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1636.00 | − | 2833.64i | 0.179702 | − | 0.311253i | ||||
\(437\) | −98.9949 | − | 171.464i | −0.0108365 | − | 0.0187694i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6966.42 | + | 12066.2i | −0.757378 | + | 1.31182i | 0.186806 | + | 0.982397i | \(0.440187\pi\) |
−0.944183 | + | 0.329420i | \(0.893147\pi\) | |||||||
\(440\) | 2217.49 | 0.240260 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −144.000 | −0.0154963 | ||||||||
\(443\) | 2998.00 | − | 5192.69i | 0.321533 | − | 0.556912i | −0.659271 | − | 0.751905i | \(-0.729135\pi\) |
0.980805 | + | 0.194993i | \(0.0624684\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6118.00 | + | 10596.7i | 0.651733 | + | 1.12883i | ||||
\(446\) | 3428.05 | − | 5937.56i | 0.363953 | − | 0.630385i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2622.00 | −0.275590 | −0.137795 | − | 0.990461i | \(-0.544001\pi\) | ||||
−0.137795 | + | 0.990461i | \(0.544001\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −881.055 | − | 1526.03i | −0.0919895 | − | 0.159330i | ||||
\(452\) | −1080.00 | − | 1870.61i | −0.112387 | − | 0.194660i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10581.1 | −1.09383 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5604.00 | + | 9706.41i | −0.573619 | + | 0.993538i | 0.422571 | + | 0.906330i | \(0.361128\pi\) |
−0.996190 | + | 0.0872080i | \(0.972206\pi\) | |||||||
\(458\) | 2749.23 | + | 4761.81i | 0.280487 | + | 0.485818i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5543.72 | − | 9602.00i | 0.561907 | − | 0.973251i | ||||
\(461\) | −9786.36 | −0.988712 | −0.494356 | − | 0.869260i | \(-0.664596\pi\) | ||||
−0.494356 | + | 0.869260i | \(0.664596\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3952.00 | 0.396685 | 0.198342 | − | 0.980133i | \(-0.436444\pi\) | ||||
0.198342 | + | 0.980133i | \(0.436444\pi\) | |||||||
\(464\) | −2288.00 | + | 3962.93i | −0.228918 | + | 0.396497i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 72.0000 | + | 124.708i | 0.00715737 | + | 0.0123969i | ||||
\(467\) | 8753.27 | − | 15161.1i | 0.867352 | − | 1.50230i | 0.00265876 | − | 0.999996i | \(-0.499154\pi\) |
0.864693 | − | 0.502301i | \(-0.167513\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −20720.0 | −2.03349 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1736.65 | + | 3007.97i | 0.169356 | + | 0.293333i | ||||
\(473\) | 238.000 | + | 412.228i | 0.0231358 | + | 0.0400724i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −377.595 | −0.0364742 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4308.00 | − | 7461.67i | 0.412225 | − | 0.713994i | ||||
\(479\) | 1144.10 | + | 1981.64i | 0.109134 | + | 0.189026i | 0.915420 | − | 0.402501i | \(-0.131859\pi\) |
−0.806286 | + | 0.591526i | \(0.798526\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 967.322 | − | 1675.45i | 0.0916967 | − | 0.158823i | ||||
\(482\) | −3080.16 | −0.291073 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4540.00 | −0.426371 | ||||||||
\(485\) | −14686.0 | + | 25436.9i | −1.37496 | + | 2.38151i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −486.000 | − | 841.777i | −0.0452213 | − | 0.0783256i | 0.842529 | − | 0.538651i | \(-0.181066\pi\) |
−0.887750 | + | 0.460326i | \(0.847733\pi\) | |||||||
\(488\) | −56.5685 | + | 97.9796i | −0.00524741 | + | 0.00908879i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7404.00 | 0.680525 | 0.340263 | − | 0.940330i | \(-0.389484\pi\) | ||||
0.340263 | + | 0.940330i | \(0.389484\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 202.233 | + | 350.277i | 0.0184748 | + | 0.0319994i | ||||
\(494\) | 72.0000 | + | 124.708i | 0.00655756 | + | 0.0113580i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1493.41 | −0.135194 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6122.00 | − | 10603.6i | 0.549215 | − | 0.951269i | −0.449113 | − | 0.893475i | \(-0.648260\pi\) |
0.998329 | − | 0.0577938i | \(-0.0184066\pi\) | |||||||
\(500\) | −5622.91 | − | 9739.17i | −0.502929 | − | 0.871098i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 931.967 | − | 1614.21i | 0.0828600 | − | 0.143518i | ||||
\(503\) | 2415.48 | 0.214117 | 0.107058 | − | 0.994253i | \(-0.465857\pi\) | ||||
0.107058 | + | 0.994253i | \(0.465857\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −22344.0 | −1.96890 | ||||||||
\(506\) | 1960.00 | − | 3394.82i | 0.172199 | − | 0.298257i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3440.00 | − | 5958.25i | −0.300444 | − | 0.520383i | ||||
\(509\) | −2853.88 | + | 4943.07i | −0.248519 | + | 0.430447i | −0.963115 | − | 0.269090i | \(-0.913277\pi\) |
0.714596 | + | 0.699537i | \(0.246610\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 937.624 | + | 1624.01i | 0.0804607 | + | 0.139362i | ||||
\(515\) | 8596.00 | + | 14888.7i | 0.735505 | + | 1.27393i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7325.63 | −0.623173 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4032.00 | + | 6983.63i | −0.340029 | + | 0.588947i | ||||
\(521\) | 0.707107 | + | 1.22474i | 5.94605e−5 | + | 0.000102989i | 0.866055 | − | 0.499949i | \(-0.166648\pi\) |
−0.865996 | + | 0.500051i | \(0.833314\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6128.49 | − | 10614.9i | 0.512391 | − | 0.887487i | −0.487506 | − | 0.873120i | \(-0.662093\pi\) |
0.999897 | − | 0.0143672i | \(-0.00457337\pi\) | |||||||
\(524\) | 6940.96 | 0.578659 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −14280.0 | −1.18372 | ||||||||
\(527\) | −66.0000 | + | 114.315i | −0.00545542 | + | 0.00944906i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3716.50 | − | 6437.17i | −0.305457 | − | 0.529068i | ||||
\(530\) | −1465.13 | + | 2537.67i | −0.120077 | + | 0.207980i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6408.00 | 0.520753 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16670.7 | − | 28874.6i | −1.34718 | − | 2.33338i | ||||
\(536\) | −2736.00 | − | 4738.89i | −0.220480 | − | 0.381882i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9220.67 | −0.738906 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1025.00 | + | 1775.35i | −0.0814569 | + | 0.141088i | −0.903876 | − | 0.427795i | \(-0.859291\pi\) |
0.822419 | + | 0.568882i | \(0.192624\pi\) | |||||||
\(542\) | 2364.57 | + | 4095.55i | 0.187393 | + | 0.324573i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 22.6274 | − | 39.1918i | 0.00178335 | − | 0.00308885i | ||||
\(545\) | −16195.6 | −1.27292 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14554.0 | 1.13763 | 0.568815 | − | 0.822465i | \(-0.307402\pi\) | ||||
0.568815 | + | 0.822465i | \(0.307402\pi\) | |||||||
\(548\) | 1656.00 | − | 2868.28i | 0.129089 | − | 0.223589i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3738.00 | − | 6474.41i | −0.289798 | − | 0.501945i | ||||
\(551\) | 202.233 | − | 350.277i | 0.0156359 | − | 0.0270822i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8012.00 | 0.614435 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 851.357 | + | 1474.59i | 0.0649381 | + | 0.112476i | ||||
\(557\) | 3477.00 | + | 6022.34i | 0.264498 | + | 0.458123i | 0.967432 | − | 0.253131i | \(-0.0814605\pi\) |
−0.702934 | + | 0.711255i | \(0.748127\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1731.00 | −0.130972 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5984.00 | + | 10364.6i | −0.449146 | + | 0.777943i | ||||
\(563\) | −818.123 | − | 1417.03i | −0.0612429 | − | 0.106076i | 0.833778 | − | 0.552099i | \(-0.186173\pi\) |
−0.895021 | + | 0.446024i | \(0.852840\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5345.73 | + | 9259.07i | −0.398047 | + | 0.689437i | ||||
\(566\) | −9857.07 | −0.732020 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4704.00 | −0.347492 | ||||||||
\(569\) | −3571.00 | + | 6185.15i | −0.263100 | + | 0.455703i | −0.967064 | − | 0.254533i | \(-0.918078\pi\) |
0.703964 | + | 0.710236i | \(0.251412\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10303.0 | + | 17845.3i | 0.755109 | + | 1.30789i | 0.945320 | + | 0.326144i | \(0.105749\pi\) |
−0.190211 | + | 0.981743i | \(0.560917\pi\) | |||||||
\(572\) | −1425.53 | + | 2469.09i | −0.104203 | + | 0.180485i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −37380.0 | −2.71105 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4401.74 | + | 7624.04i | 0.317585 | + | 0.550074i | 0.979984 | − | 0.199078i | \(-0.0637946\pi\) |
−0.662398 | + | 0.749152i | \(0.730461\pi\) | |||||||
\(578\) | 4911.00 | + | 8506.10i | 0.353409 | + | 0.612123i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 22650.0 | 1.62154 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −518.000 | + | 897.202i | −0.0367982 | + | 0.0637364i | ||||
\(584\) | 1080.46 | + | 1871.41i | 0.0765577 | + | 0.132602i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1971.41 | − | 3414.59i | 0.138973 | − | 0.240709i | ||||
\(587\) | −6503.97 | −0.457321 | −0.228661 | − | 0.973506i | \(-0.573435\pi\) | ||||
−0.228661 | + | 0.973506i | \(0.573435\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 132.000 | 0.00923424 | ||||||||
\(590\) | 8596.00 | − | 14888.7i | 0.599816 | − | 1.03891i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 304.000 | + | 526.543i | 0.0211053 | + | 0.0365554i | ||||
\(593\) | −11570.4 | + | 20040.5i | −0.801246 | + | 1.38780i | 0.117550 | + | 0.993067i | \(0.462496\pi\) |
−0.918796 | + | 0.394732i | \(0.870837\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −8200.00 | −0.563566 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7127.64 | + | 12345.4i | 0.487409 | + | 0.844218i | ||||
\(599\) | −5648.00 | − | 9782.62i | −0.385260 | − | 0.667291i | 0.606545 | − | 0.795049i | \(-0.292555\pi\) |
−0.991805 | + | 0.127759i | \(0.959222\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8727.11 | 0.592323 | 0.296162 | − | 0.955138i | \(-0.404293\pi\) | ||||
0.296162 | + | 0.955138i | \(0.404293\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 944.000 | − | 1635.06i | 0.0635941 | − | 0.110148i | ||||
\(605\) | 11235.9 | + | 19461.2i | 0.755050 | + | 1.30779i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9868.38 | + | 17092.5i | −0.659877 | + | 1.14294i | 0.320770 | + | 0.947157i | \(0.396058\pi\) |
−0.980647 | + | 0.195783i | \(0.937275\pi\) | |||||||
\(608\) | −45.2548 | −0.00301863 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 560.000 | 0.0371701 | ||||||||
\(611\) | 13320.0 | − | 23070.9i | 0.881947 | − | 1.52758i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8481.00 | − | 14689.5i | −0.558800 | − | 0.967870i | −0.997597 | − | 0.0692837i | \(-0.977929\pi\) |
0.438797 | − | 0.898586i | \(-0.355405\pi\) | |||||||
\(614\) | 4767.31 | − | 8257.23i | 0.313344 | − | 0.542727i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19034.0 | 1.24194 | 0.620972 | − | 0.783832i | \(-0.286738\pi\) | ||||
0.620972 | + | 0.783832i | \(0.286738\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9338.76 | + | 16175.2i | 0.606392 | + | 1.05030i | 0.991830 | + | 0.127568i | \(0.0407169\pi\) |
−0.385438 | + | 0.922734i | \(0.625950\pi\) | |||||||
\(620\) | 3696.00 | + | 6401.66i | 0.239411 | + | 0.414672i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13553.8 | 0.873728 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11144.5 | + | 19302.8i | −0.713248 | + | 1.23538i | ||||
\(626\) | 6190.01 | + | 10721.4i | 0.395212 | + | 0.684527i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4423.66 | − | 7662.00i | 0.281088 | − | 0.486859i | ||||
\(629\) | 53.7401 | 0.00340661 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14716.0 | −0.928423 | −0.464211 | − | 0.885724i | \(-0.653662\pi\) | ||||
−0.464211 | + | 0.885724i | \(0.653662\pi\) | |||||||
\(632\) | −4880.00 | + | 8452.41i | −0.307146 | + | 0.531992i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9826.00 | + | 17019.1i | 0.615521 | + | 1.06611i | ||||
\(635\) | −17027.1 | + | 29491.9i | −1.06410 | + | 1.84307i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8008.00 | 0.496928 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1267.14 | − | 2194.74i | −0.0782624 | − | 0.135554i | ||||
\(641\) | 2365.00 | + | 4096.30i | 0.145728 | + | 0.252409i | 0.929644 | − | 0.368458i | \(-0.120114\pi\) |
−0.783916 | + | 0.620867i | \(0.786781\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19056.5 | 1.16877 | 0.584383 | − | 0.811478i | \(-0.301337\pi\) | ||||
0.584383 | + | 0.811478i | \(0.301337\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.00000 | + | 3.46410i | −0.000121810 | + | 0.000210980i | ||||
\(647\) | 4671.15 | + | 8090.66i | 0.283836 | + | 0.491618i | 0.972326 | − | 0.233627i | \(-0.0750596\pi\) |
−0.688490 | + | 0.725245i | \(0.741726\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3039.14 | − | 5263.95i | 0.183816 | − | 0.318379i | ||||
\(650\) | 27186.8 | 1.64055 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13144.0 | 0.789507 | ||||||||
\(653\) | 1887.00 | − | 3268.38i | 0.113084 | − | 0.195868i | −0.803928 | − | 0.594727i | \(-0.797260\pi\) |
0.917012 | + | 0.398859i | \(0.130594\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17178.0 | − | 29753.2i | −1.02473 | − | 1.77489i | ||||
\(656\) | −1006.92 | + | 1744.04i | −0.0599293 | + | 0.103801i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21150.0 | 1.25021 | 0.625104 | − | 0.780541i | \(-0.285057\pi\) | ||||
0.625104 | + | 0.780541i | \(0.285057\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5188.75 | + | 8987.18i | 0.305324 | + | 0.528836i | 0.977333 | − | 0.211706i | \(-0.0679020\pi\) |
−0.672010 | + | 0.740542i | \(0.734569\pi\) | |||||||
\(662\) | 5738.00 | + | 9938.51i | 0.336879 | + | 0.583491i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3382.80 | −0.197708 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 20020.0 | − | 34675.7i | 1.16219 | − | 2.01296i | ||||
\(668\) | −2981.16 | − | 5163.52i | −0.172672 | − | 0.299076i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −13542.5 | + | 23456.3i | −0.780885 | + | 1.35253i | ||||
\(671\) | 197.990 | 0.0113909 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1164.00 | −0.0666700 | −0.0333350 | − | 0.999444i | \(-0.510613\pi\) | ||||
−0.0333350 | + | 0.999444i | \(0.510613\pi\) | |||||||
\(674\) | 2254.00 | − | 3904.04i | 0.128814 | − | 0.223113i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −790.000 | − | 1368.32i | −0.0449477 | − | 0.0778516i | ||||
\(677\) | 13576.5 | − | 23515.1i | 0.770732 | − | 1.33495i | −0.166431 | − | 0.986053i | \(-0.553224\pi\) |
0.937162 | − | 0.348893i | \(-0.113442\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −224.000 | −0.0126324 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1306.73 | + | 2263.33i | 0.0733686 | + | 0.127078i | ||||
\(683\) | −8298.00 | − | 14372.6i | −0.464882 | − | 0.805199i | 0.534315 | − | 0.845286i | \(-0.320570\pi\) |
−0.999196 | + | 0.0400871i | \(0.987236\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −16393.6 | −0.914403 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 272.000 | − | 471.118i | 0.0150725 | − | 0.0261064i | ||||
\(689\) | −1883.73 | − | 3262.72i | −0.104157 | − | 0.180406i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5649.08 | + | 9784.49i | −0.311000 | + | 0.538668i | −0.978579 | − | 0.205871i | \(-0.933997\pi\) |
0.667579 | + | 0.744539i | \(0.267331\pi\) | |||||||
\(692\) | 8281.63 | 0.454943 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3972.00 | 0.217255 | ||||||||
\(695\) | 4214.00 | − | 7298.86i | 0.229994 | − | 0.398362i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 89.0000 | + | 154.153i | 0.00483661 | + | 0.00837725i | ||||
\(698\) | −6771.25 | + | 11728.2i | −0.367186 | + | 0.635985i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2754.00 | 0.148384 | 0.0741920 | − | 0.997244i | \(-0.476362\pi\) | ||||
0.0741920 | + | 0.997244i | \(0.476362\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.8701 | − | 46.5403i | −0.00144157 | − | 0.00249687i | ||||
\(704\) | −448.000 | − | 775.959i | −0.0239839 | − | 0.0415413i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13986.6 | −0.745597 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14717.0 | + | 25490.6i | −0.779561 | + | 1.35024i | 0.152634 | + | 0.988283i | \(0.451224\pi\) |
−0.932195 | + | 0.361956i | \(0.882109\pi\) | |||||||
\(710\) | 11641.8 | + | 20164.2i | 0.615365 | + | 1.06584i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2472.05 | − | 4281.71i | 0.130118 | − | 0.225370i | ||||
\(713\) | 13067.3 | 0.686361 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14112.0 | 0.738124 | ||||||||
\(716\) | 1080.00 | − | 1870.61i | 0.0563708 | − | 0.0976371i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5944.00 | + | 10295.3i | 0.308953 | + | 0.535122i | ||||
\(719\) | −8834.59 | + | 15302.0i | −0.458240 | + | 0.793695i | −0.998868 | − | 0.0475666i | \(-0.984853\pi\) |
0.540628 | + | 0.841262i | \(0.318187\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −13714.0 | −0.706901 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7568.87 | − | 13109.7i | −0.388529 | − | 0.672952i | ||||
\(725\) | −38181.0 | − | 66131.4i | −1.95587 | − | 3.38767i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28445.5 | 1.45115 | 0.725574 | − | 0.688144i | \(-0.241574\pi\) | ||||
0.725574 | + | 0.688144i | \(0.241574\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5348.00 | − | 9263.01i | 0.271148 | − | 0.469643i | ||||
\(731\) | −24.0416 | − | 41.6413i | −0.00121643 | − | 0.00210692i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11170.9 | + | 19348.5i | −0.562900 | + | 0.974971i | 0.434342 | + | 0.900748i | \(0.356981\pi\) |
−0.997242 | + | 0.0742230i | \(0.976352\pi\) | |||||||
\(734\) | −1685.74 | −0.0847710 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4480.00 | −0.224368 | ||||||||
\(737\) | −4788.00 | + | 8293.06i | −0.239306 | + | 0.414490i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10335.0 | − | 17900.7i | −0.514451 | − | 0.891055i | −0.999859 | − | 0.0167675i | \(-0.994662\pi\) |
0.485409 | − | 0.874287i | \(-0.338671\pi\) | |||||||
\(740\) | 1504.72 | − | 2606.26i | 0.0747496 | − | 0.129470i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 25400.0 | 1.25415 | 0.627076 | − | 0.778958i | \(-0.284251\pi\) | ||||
0.627076 | + | 0.778958i | \(0.284251\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20294.0 | + | 35150.2i | 0.998004 | + | 1.72859i | ||||
\(746\) | 5726.00 | + | 9917.72i | 0.281024 | + | 0.486748i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −79.1960 | −0.00387124 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14590.0 | + | 25270.6i | −0.708917 | + | 1.22788i | 0.256342 | + | 0.966586i | \(0.417483\pi\) |
−0.965259 | + | 0.261294i | \(0.915851\pi\) | |||||||
\(752\) | 4186.07 | + | 7250.49i | 0.202992 | + | 0.351593i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14560.7 | + | 25219.9i | −0.703277 | + | 1.21811i | ||||
\(755\) | −9345.12 | −0.450469 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26206.0 | −1.25822 | −0.629110 | − | 0.777316i | \(-0.716581\pi\) | ||||
−0.629110 | + | 0.777316i | \(0.716581\pi\) | |||||||
\(758\) | −10330.0 | + | 17892.1i | −0.494990 | + | 0.857348i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 112.000 | + | 193.990i | 0.00534561 | + | 0.00925888i | ||||
\(761\) | 3431.59 | − | 5943.69i | 0.163463 | − | 0.283125i | −0.772646 | − | 0.634838i | \(-0.781067\pi\) |
0.936108 | + | 0.351712i | \(0.114400\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −4112.00 | −0.194721 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1004.09 | + | 1739.14i | 0.0473620 | + | 0.0820334i | ||||
\(767\) | 11052.0 | + | 19142.6i | 0.520293 | + | 0.901174i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9058.04 | −0.424761 | −0.212380 | − | 0.977187i | \(-0.568122\pi\) | ||||
−0.212380 | + | 0.977187i | \(0.568122\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9184.00 | + | 15907.2i | −0.428160 | + | 0.741595i | ||||
\(773\) | −66.4680 | − | 115.126i | −0.00309274 | − | 0.00535679i | 0.864475 | − | 0.502676i | \(-0.167651\pi\) |
−0.867568 | + | 0.497319i | \(0.834318\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12460.6 | − | 21582.5i | 0.577547 | − | 1.00034i | ||||
\(776\) | 11868.1 | 0.549020 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10420.0 | −0.480174 | ||||||||
\(779\) | 89.0000 | − | 154.153i | 0.00409340 | − | 0.00708997i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4116.00 | + | 7129.12i | 0.188581 | + | 0.326633i | ||||
\(782\) | −197.990 | + | 342.929i | −0.00905384 | + | 0.0156817i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −43792.0 | −1.99109 | ||||||||
\(786\) | 0 | 0 | ||||||||