Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Root | \(4.75406 - 8.23428i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.4.e.b.9.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.347296 | + | 1.96962i | −0.122788 | + | 0.696364i | ||||
\(3\) | 6.25156 | + | 5.24568i | 1.20311 | + | 1.00953i | 0.999536 | + | 0.0304727i | \(0.00970127\pi\) |
0.203577 | + | 0.979059i | \(0.434743\pi\) | |||||||
\(4\) | −3.75877 | − | 1.36808i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.852642 | − | 0.310336i | 0.0762626 | − | 0.0277573i | −0.303607 | − | 0.952797i | \(-0.598191\pi\) |
0.379870 | + | 0.925040i | \(0.375969\pi\) | |||||||
\(6\) | −12.5031 | + | 10.4914i | −0.850729 | + | 0.713847i | ||||
\(7\) | −4.68031 | − | 8.10654i | −0.252713 | − | 0.437712i | 0.711559 | − | 0.702627i | \(-0.247990\pi\) |
−0.964272 | + | 0.264915i | \(0.914656\pi\) | |||||||
\(8\) | 4.00000 | − | 6.92820i | 0.176777 | − | 0.306186i | ||||
\(9\) | 6.87632 | + | 38.9975i | 0.254678 | + | 1.44435i | ||||
\(10\) | 0.315124 | + | 1.78716i | 0.00996509 | + | 0.0565148i | ||||
\(11\) | −15.6469 | + | 27.1013i | −0.428884 | + | 0.742849i | −0.996774 | − | 0.0802555i | \(-0.974426\pi\) |
0.567890 | + | 0.823104i | \(0.307760\pi\) | |||||||
\(12\) | −16.3217 | − | 28.2699i | −0.392638 | − | 0.680069i | ||||
\(13\) | 54.0093 | − | 45.3192i | 1.15227 | − | 0.966868i | 0.152499 | − | 0.988304i | \(-0.451268\pi\) |
0.999770 | + | 0.0214354i | \(0.00682362\pi\) | |||||||
\(14\) | 17.5922 | − | 6.40304i | 0.335837 | − | 0.122235i | ||||
\(15\) | 6.95827 | + | 2.53260i | 0.119774 | + | 0.0435943i | ||||
\(16\) | 12.2567 | + | 10.2846i | 0.191511 | + | 0.160697i | ||||
\(17\) | 17.1358 | − | 97.1819i | 0.244473 | − | 1.38647i | −0.577241 | − | 0.816574i | \(-0.695871\pi\) |
0.821714 | − | 0.569900i | \(-0.193018\pi\) | |||||||
\(18\) | −79.1983 | −1.03707 | ||||||||
\(19\) | −70.3584 | − | 43.6887i | −0.849543 | − | 0.527520i | ||||
\(20\) | −3.62945 | −0.0405785 | ||||||||
\(21\) | 13.2651 | − | 75.2299i | 0.137842 | − | 0.781738i | ||||
\(22\) | −47.9449 | − | 40.2306i | −0.464631 | − | 0.389872i | ||||
\(23\) | 150.848 | + | 54.9041i | 1.36756 | + | 0.497752i | 0.918384 | − | 0.395690i | \(-0.129494\pi\) |
0.449179 | + | 0.893442i | \(0.351717\pi\) | |||||||
\(24\) | 61.3494 | − | 22.3293i | 0.521787 | − | 0.189915i | ||||
\(25\) | −95.1249 | + | 79.8192i | −0.760999 | + | 0.638554i | ||||
\(26\) | 70.5042 | + | 122.117i | 0.531808 | + | 0.921118i | ||||
\(27\) | −51.4097 | + | 89.0442i | −0.366437 | + | 0.634688i | ||||
\(28\) | 6.50182 | + | 36.8736i | 0.0438832 | + | 0.248874i | ||||
\(29\) | 18.8061 | + | 106.654i | 0.120421 | + | 0.682939i | 0.983923 | + | 0.178594i | \(0.0571549\pi\) |
−0.863502 | + | 0.504345i | \(0.831734\pi\) | |||||||
\(30\) | −7.40483 | + | 12.8255i | −0.0450644 | + | 0.0780538i | ||||
\(31\) | −27.0715 | − | 46.8893i | −0.156845 | − | 0.271663i | 0.776884 | − | 0.629643i | \(-0.216799\pi\) |
−0.933729 | + | 0.357980i | \(0.883466\pi\) | |||||||
\(32\) | −24.5134 | + | 20.5692i | −0.135419 | + | 0.113630i | ||||
\(33\) | −239.982 | + | 87.3463i | −1.26592 | + | 0.460759i | ||||
\(34\) | 185.460 | + | 67.5018i | 0.935473 | + | 0.340484i | ||||
\(35\) | −6.50638 | − | 5.45950i | −0.0314223 | − | 0.0263664i | ||||
\(36\) | 27.5053 | − | 155.990i | 0.127339 | − | 0.722177i | ||||
\(37\) | −355.461 | −1.57939 | −0.789696 | − | 0.613498i | \(-0.789762\pi\) | ||||
−0.789696 | + | 0.613498i | \(0.789762\pi\) | |||||||
\(38\) | 110.485 | − | 123.406i | 0.471659 | − | 0.526818i | ||||
\(39\) | 575.373 | 2.36239 | ||||||||
\(40\) | 1.26050 | − | 7.14862i | 0.00498254 | − | 0.0282574i | ||||
\(41\) | −166.023 | − | 139.310i | −0.632401 | − | 0.530647i | 0.269273 | − | 0.963064i | \(-0.413217\pi\) |
−0.901674 | + | 0.432417i | \(0.857661\pi\) | |||||||
\(42\) | 143.567 | + | 52.2541i | 0.527449 | + | 0.191976i | ||||
\(43\) | −284.608 | + | 103.589i | −1.00935 | + | 0.367375i | −0.793185 | − | 0.608981i | \(-0.791579\pi\) |
−0.216170 | + | 0.976356i | \(0.569356\pi\) | |||||||
\(44\) | 95.8899 | − | 80.4611i | 0.328544 | − | 0.275681i | ||||
\(45\) | 17.9654 | + | 31.1170i | 0.0595138 | + | 0.103081i | ||||
\(46\) | −160.529 | + | 278.044i | −0.514537 | + | 0.891204i | ||||
\(47\) | 61.8275 | + | 350.641i | 0.191882 | + | 1.08822i | 0.916789 | + | 0.399372i | \(0.130772\pi\) |
−0.724907 | + | 0.688847i | \(0.758117\pi\) | |||||||
\(48\) | 22.6738 | + | 128.590i | 0.0681809 | + | 0.386673i | ||||
\(49\) | 127.689 | − | 221.165i | 0.372272 | − | 0.644794i | ||||
\(50\) | −124.177 | − | 215.080i | −0.351225 | − | 0.608339i | ||||
\(51\) | 616.910 | − | 517.649i | 1.69382 | − | 1.42128i | ||||
\(52\) | −265.009 | + | 96.4554i | −0.706733 | + | 0.257230i | ||||
\(53\) | 46.9946 | + | 17.1046i | 0.121796 | + | 0.0443302i | 0.402199 | − | 0.915552i | \(-0.368246\pi\) |
−0.280403 | + | 0.959882i | \(0.590468\pi\) | |||||||
\(54\) | −157.528 | − | 132.182i | −0.396980 | − | 0.333106i | ||||
\(55\) | −4.93071 | + | 27.9635i | −0.0120883 | + | 0.0685563i | ||||
\(56\) | −74.8850 | −0.178695 | ||||||||
\(57\) | −210.672 | − | 642.200i | −0.489548 | − | 1.49231i | ||||
\(58\) | −216.599 | −0.490360 | ||||||||
\(59\) | −29.1122 | + | 165.103i | −0.0642387 | + | 0.364316i | 0.935695 | + | 0.352810i | \(0.114774\pi\) |
−0.999934 | + | 0.0115061i | \(0.996337\pi\) | |||||||
\(60\) | −22.6897 | − | 19.0389i | −0.0488205 | − | 0.0409653i | ||||
\(61\) | −751.374 | − | 273.478i | −1.57711 | − | 0.574020i | −0.602535 | − | 0.798092i | \(-0.705843\pi\) |
−0.974573 | + | 0.224072i | \(0.928065\pi\) | |||||||
\(62\) | 101.756 | − | 37.0360i | 0.208435 | − | 0.0758642i | ||||
\(63\) | 283.952 | − | 238.264i | 0.567850 | − | 0.476483i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 31.9864 | − | 55.4021i | 0.0610374 | − | 0.105720i | ||||
\(66\) | −88.6938 | − | 503.007i | −0.165416 | − | 0.938120i | ||||
\(67\) | 69.7961 | + | 395.833i | 0.127268 | + | 0.721772i | 0.979935 | + | 0.199318i | \(0.0638725\pi\) |
−0.852667 | + | 0.522455i | \(0.825016\pi\) | |||||||
\(68\) | −197.362 | + | 341.841i | −0.351966 | + | 0.609623i | ||||
\(69\) | 655.025 | + | 1134.54i | 1.14284 | + | 1.97945i | ||||
\(70\) | 13.0128 | − | 10.9190i | 0.0222189 | − | 0.0186439i | ||||
\(71\) | 370.796 | − | 134.959i | 0.619794 | − | 0.225587i | −0.0129892 | − | 0.999916i | \(-0.504135\pi\) |
0.632783 | + | 0.774329i | \(0.281912\pi\) | |||||||
\(72\) | 297.688 | + | 108.350i | 0.487262 | + | 0.177349i | ||||
\(73\) | 487.624 | + | 409.165i | 0.781810 | + | 0.656016i | 0.943704 | − | 0.330792i | \(-0.107316\pi\) |
−0.161894 | + | 0.986808i | \(0.551760\pi\) | |||||||
\(74\) | 123.450 | − | 700.122i | 0.193930 | − | 1.09983i | ||||
\(75\) | −1013.38 | −1.56021 | ||||||||
\(76\) | 204.691 | + | 260.472i | 0.308943 | + | 0.393134i | ||||
\(77\) | 292.930 | 0.433538 | ||||||||
\(78\) | −199.825 | + | 1133.26i | −0.290073 | + | 1.64509i | ||||
\(79\) | 536.534 | + | 450.206i | 0.764112 | + | 0.641166i | 0.939194 | − | 0.343388i | \(-0.111575\pi\) |
−0.175082 | + | 0.984554i | \(0.556019\pi\) | |||||||
\(80\) | 13.6423 | + | 4.96538i | 0.0190657 | + | 0.00693933i | ||||
\(81\) | 216.209 | − | 78.6937i | 0.296583 | − | 0.107947i | ||||
\(82\) | 332.046 | − | 278.620i | 0.447175 | − | 0.375224i | ||||
\(83\) | −128.213 | − | 222.072i | −0.169557 | − | 0.293681i | 0.768707 | − | 0.639601i | \(-0.220900\pi\) |
−0.938264 | + | 0.345920i | \(0.887567\pi\) | |||||||
\(84\) | −152.781 | + | 264.624i | −0.198450 | + | 0.343725i | ||||
\(85\) | −15.5484 | − | 88.1792i | −0.0198407 | − | 0.112522i | ||||
\(86\) | −105.187 | − | 596.544i | −0.131890 | − | 0.747988i | ||||
\(87\) | −441.908 | + | 765.407i | −0.544569 | + | 0.943221i | ||||
\(88\) | 125.175 | + | 216.810i | 0.151633 | + | 0.262637i | ||||
\(89\) | −660.257 | + | 554.022i | −0.786372 | + | 0.659845i | −0.944845 | − | 0.327519i | \(-0.893788\pi\) |
0.158472 | + | 0.987363i | \(0.449343\pi\) | |||||||
\(90\) | −67.5278 | + | 24.5781i | −0.0790895 | + | 0.0287862i | ||||
\(91\) | −620.162 | − | 225.721i | −0.714403 | − | 0.260021i | ||||
\(92\) | −491.889 | − | 412.744i | −0.557424 | − | 0.467734i | ||||
\(93\) | 76.7269 | − | 435.140i | 0.0855506 | − | 0.485181i | ||||
\(94\) | −712.101 | −0.781357 | ||||||||
\(95\) | −73.5487 | − | 15.4161i | −0.0794309 | − | 0.0166490i | ||||
\(96\) | −261.147 | −0.277637 | ||||||||
\(97\) | 153.671 | − | 871.509i | 0.160854 | − | 0.912251i | −0.792382 | − | 0.610025i | \(-0.791159\pi\) |
0.953236 | − | 0.302226i | \(-0.0977296\pi\) | |||||||
\(98\) | 391.263 | + | 328.309i | 0.403301 | + | 0.338410i | ||||
\(99\) | −1164.48 | − | 423.834i | −1.18216 | − | 0.430272i | ||||
\(100\) | 466.752 | − | 169.884i | 0.466752 | − | 0.169884i | ||||
\(101\) | 1177.31 | − | 987.878i | 1.15987 | − | 0.973243i | 0.159962 | − | 0.987123i | \(-0.448863\pi\) |
0.999904 | + | 0.0138807i | \(0.00441851\pi\) | |||||||
\(102\) | 805.319 | + | 1394.85i | 0.781750 | + | 1.35403i | ||||
\(103\) | 468.495 | − | 811.458i | 0.448177 | − | 0.776265i | −0.550090 | − | 0.835105i | \(-0.685407\pi\) |
0.998267 | + | 0.0588397i | \(0.0187401\pi\) | |||||||
\(104\) | −97.9434 | − | 555.464i | −0.0923475 | − | 0.523729i | ||||
\(105\) | −12.0362 | − | 68.2608i | −0.0111868 | − | 0.0634435i | ||||
\(106\) | −50.0106 | + | 86.6208i | −0.0458251 | + | 0.0793713i | ||||
\(107\) | 988.304 | + | 1711.79i | 0.892924 | + | 1.54659i | 0.836353 | + | 0.548192i | \(0.184684\pi\) |
0.0565718 | + | 0.998399i | \(0.481983\pi\) | |||||||
\(108\) | 315.057 | − | 264.364i | 0.280707 | − | 0.235541i | ||||
\(109\) | 363.911 | − | 132.453i | 0.319783 | − | 0.116391i | −0.177141 | − | 0.984185i | \(-0.556685\pi\) |
0.496924 | + | 0.867794i | \(0.334463\pi\) | |||||||
\(110\) | −53.3649 | − | 19.4232i | −0.0462558 | − | 0.0168357i | ||||
\(111\) | −2222.19 | − | 1864.64i | −1.90019 | − | 1.59445i | ||||
\(112\) | 26.0073 | − | 147.495i | 0.0219416 | − | 0.124437i | ||||
\(113\) | −1189.15 | −0.989967 | −0.494983 | − | 0.868903i | \(-0.664826\pi\) | ||||
−0.494983 | + | 0.868903i | \(0.664826\pi\) | |||||||
\(114\) | 1338.05 | − | 191.910i | 1.09930 | − | 0.157667i | ||||
\(115\) | 145.658 | 0.118110 | ||||||||
\(116\) | 75.2242 | − | 426.618i | 0.0602103 | − | 0.341469i | ||||
\(117\) | 2138.72 | + | 1794.60i | 1.68996 | + | 1.41804i | ||||
\(118\) | −315.080 | − | 114.680i | −0.245809 | − | 0.0894671i | ||||
\(119\) | −868.009 | + | 315.929i | −0.668658 | + | 0.243371i | ||||
\(120\) | 45.3794 | − | 38.0779i | 0.0345213 | − | 0.0289668i | ||||
\(121\) | 175.848 | + | 304.578i | 0.132117 | + | 0.228834i | ||||
\(122\) | 799.596 | − | 1384.94i | 0.593377 | − | 1.02776i | ||||
\(123\) | −307.128 | − | 1741.81i | −0.225144 | − | 1.27686i | ||||
\(124\) | 37.6074 | + | 213.282i | 0.0272358 | + | 0.154462i | ||||
\(125\) | −113.047 | + | 195.803i | −0.0808897 | + | 0.140105i | ||||
\(126\) | 370.673 | + | 642.024i | 0.262080 | + | 0.453937i | ||||
\(127\) | 516.989 | − | 433.806i | 0.361223 | − | 0.303102i | −0.444055 | − | 0.896000i | \(-0.646460\pi\) |
0.805278 | + | 0.592897i | \(0.202016\pi\) | |||||||
\(128\) | 120.281 | − | 43.7786i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | −2322.63 | − | 845.370i | −1.58524 | − | 0.576982i | ||||
\(130\) | 98.0121 | + | 82.2419i | 0.0661249 | + | 0.0554853i | ||||
\(131\) | −111.018 | + | 629.612i | −0.0740431 | + | 0.419919i | 0.925144 | + | 0.379615i | \(0.123944\pi\) |
−0.999187 | + | 0.0403038i | \(0.987167\pi\) | |||||||
\(132\) | 1021.53 | 0.673585 | ||||||||
\(133\) | −24.8650 | + | 774.839i | −0.0162110 | + | 0.505166i | ||||
\(134\) | −803.880 | −0.518243 | ||||||||
\(135\) | −16.2004 | + | 91.8772i | −0.0103282 | + | 0.0585743i | ||||
\(136\) | −604.753 | − | 507.448i | −0.381302 | − | 0.319951i | ||||
\(137\) | −1005.94 | − | 366.133i | −0.627324 | − | 0.228327i | 0.00874215 | − | 0.999962i | \(-0.497217\pi\) |
−0.636066 | + | 0.771635i | \(0.719439\pi\) | |||||||
\(138\) | −2462.09 | + | 896.126i | −1.51874 | + | 0.552778i | ||||
\(139\) | 934.291 | − | 783.963i | 0.570112 | − | 0.478381i | −0.311571 | − | 0.950223i | \(-0.600855\pi\) |
0.881683 | + | 0.471842i | \(0.156411\pi\) | |||||||
\(140\) | 16.9870 | + | 29.4223i | 0.0102547 | + | 0.0177617i | ||||
\(141\) | −1452.83 | + | 2516.38i | −0.867735 | + | 1.50296i | ||||
\(142\) | 137.041 | + | 777.196i | 0.0809873 | + | 0.459302i | ||||
\(143\) | 383.128 | + | 2172.83i | 0.224047 | + | 1.27064i | ||||
\(144\) | −316.793 | + | 548.702i | −0.183329 | + | 0.317536i | ||||
\(145\) | 49.1336 | + | 85.1018i | 0.0281401 | + | 0.0487402i | ||||
\(146\) | −975.248 | + | 818.331i | −0.552823 | + | 0.463873i | ||||
\(147\) | 1958.42 | − | 712.805i | 1.09883 | − | 0.399940i | ||||
\(148\) | 1336.10 | + | 486.300i | 0.742071 | + | 0.270092i | ||||
\(149\) | 1953.53 | + | 1639.20i | 1.07409 | + | 0.901267i | 0.995417 | − | 0.0956337i | \(-0.0304877\pi\) |
0.0786715 | + | 0.996901i | \(0.474932\pi\) | |||||||
\(150\) | 351.945 | − | 1995.98i | 0.191575 | − | 1.08647i | ||||
\(151\) | −20.1496 | −0.0108593 | −0.00542965 | − | 0.999985i | \(-0.501728\pi\) | ||||
−0.00542965 | + | 0.999985i | \(0.501728\pi\) | |||||||
\(152\) | −584.118 | + | 312.702i | −0.311699 | + | 0.166865i | ||||
\(153\) | 3907.68 | 2.06482 | ||||||||
\(154\) | −101.733 | + | 576.959i | −0.0532332 | + | 0.301900i | ||||
\(155\) | −37.6338 | − | 31.5785i | −0.0195020 | − | 0.0163642i | ||||
\(156\) | −2162.69 | − | 787.156i | −1.10996 | − | 0.403993i | ||||
\(157\) | 803.934 | − | 292.608i | 0.408668 | − | 0.148743i | −0.129502 | − | 0.991579i | \(-0.541338\pi\) |
0.538170 | + | 0.842836i | \(0.319116\pi\) | |||||||
\(158\) | −1073.07 | + | 900.412i | −0.540309 | + | 0.453373i | ||||
\(159\) | 204.064 | + | 353.449i | 0.101782 | + | 0.176291i | ||||
\(160\) | −14.5178 | + | 25.1456i | −0.00717333 | + | 0.0124246i | ||||
\(161\) | −260.932 | − | 1479.82i | −0.127729 | − | 0.724387i | ||||
\(162\) | 79.9077 | + | 453.179i | 0.0387540 | + | 0.219785i | ||||
\(163\) | −883.268 | + | 1529.86i | −0.424435 | + | 0.735143i | −0.996367 | − | 0.0851580i | \(-0.972860\pi\) |
0.571933 | + | 0.820301i | \(0.306194\pi\) | |||||||
\(164\) | 433.455 | + | 750.767i | 0.206385 | + | 0.357470i | ||||
\(165\) | −177.512 | + | 148.950i | −0.0837533 | + | 0.0702774i | ||||
\(166\) | 481.924 | − | 175.406i | 0.225329 | − | 0.0820129i | ||||
\(167\) | −751.576 | − | 273.551i | −0.348256 | − | 0.126755i | 0.161969 | − | 0.986796i | \(-0.448216\pi\) |
−0.510225 | + | 0.860041i | \(0.670438\pi\) | |||||||
\(168\) | −468.148 | − | 392.823i | −0.214990 | − | 0.180398i | ||||
\(169\) | 481.672 | − | 2731.70i | 0.219241 | − | 1.24338i | ||||
\(170\) | 179.079 | 0.0807925 | ||||||||
\(171\) | 1219.94 | − | 3044.22i | 0.545564 | − | 1.36139i | ||||
\(172\) | 1211.49 | 0.537066 | ||||||||
\(173\) | −82.4321 | + | 467.496i | −0.0362266 | + | 0.205451i | −0.997549 | − | 0.0699753i | \(-0.977708\pi\) |
0.961322 | + | 0.275426i | \(0.0888191\pi\) | |||||||
\(174\) | −1354.08 | − | 1136.21i | −0.589959 | − | 0.495034i | ||||
\(175\) | 1092.27 | + | 397.554i | 0.471817 | + | 0.171727i | ||||
\(176\) | −470.505 | + | 171.250i | −0.201509 | + | 0.0733435i | ||||
\(177\) | −1048.08 | + | 879.440i | −0.445075 | + | 0.373462i | ||||
\(178\) | −861.905 | − | 1492.86i | −0.362935 | − | 0.628622i | ||||
\(179\) | −1146.81 | + | 1986.33i | −0.478862 | + | 0.829413i | −0.999706 | − | 0.0242386i | \(-0.992284\pi\) |
0.520844 | + | 0.853652i | \(0.325617\pi\) | |||||||
\(180\) | −24.9573 | − | 141.540i | −0.0103345 | − | 0.0586097i | ||||
\(181\) | −9.24130 | − | 52.4100i | −0.00379503 | − | 0.0215227i | 0.982851 | − | 0.184399i | \(-0.0590339\pi\) |
−0.986646 | + | 0.162876i | \(0.947923\pi\) | |||||||
\(182\) | 659.963 | − | 1143.09i | 0.268790 | − | 0.465557i | ||||
\(183\) | −3262.68 | − | 5651.13i | −1.31795 | − | 2.28275i | ||||
\(184\) | 983.778 | − | 825.488i | 0.394158 | − | 0.330738i | ||||
\(185\) | −303.081 | + | 110.313i | −0.120449 | + | 0.0438397i | ||||
\(186\) | 830.411 | + | 302.245i | 0.327358 | + | 0.119149i | ||||
\(187\) | 2365.63 | + | 1985.00i | 0.925090 | + | 0.776243i | ||||
\(188\) | 247.310 | − | 1402.56i | 0.0959412 | − | 0.544109i | ||||
\(189\) | 962.454 | 0.370414 | ||||||||
\(190\) | 55.9069 | − | 139.509i | 0.0213469 | − | 0.0532685i | ||||
\(191\) | −3674.63 | −1.39208 | −0.696039 | − | 0.718004i | \(-0.745056\pi\) | ||||
−0.696039 | + | 0.718004i | \(0.745056\pi\) | |||||||
\(192\) | 90.6952 | − | 514.358i | 0.0340904 | − | 0.193337i | ||||
\(193\) | −1224.42 | − | 1027.41i | −0.456663 | − | 0.383185i | 0.385239 | − | 0.922817i | \(-0.374119\pi\) |
−0.841901 | + | 0.539632i | \(0.818564\pi\) | |||||||
\(194\) | 1663.17 | + | 605.344i | 0.615508 | + | 0.224027i | ||||
\(195\) | 490.587 | − | 178.559i | 0.180162 | − | 0.0655737i | ||||
\(196\) | −782.526 | + | 656.617i | −0.285177 | + | 0.239292i | ||||
\(197\) | 99.7731 | + | 172.812i | 0.0360840 | + | 0.0624993i | 0.883503 | − | 0.468425i | \(-0.155178\pi\) |
−0.847419 | + | 0.530924i | \(0.821845\pi\) | |||||||
\(198\) | 1239.21 | − | 2146.37i | 0.444781 | − | 0.770384i | ||||
\(199\) | −259.360 | − | 1470.90i | −0.0923897 | − | 0.523968i | −0.995516 | − | 0.0945930i | \(-0.969845\pi\) |
0.903126 | − | 0.429375i | \(-0.141266\pi\) | |||||||
\(200\) | 172.504 | + | 978.321i | 0.0609895 | + | 0.345889i | ||||
\(201\) | −1640.08 | + | 2840.70i | −0.575534 | + | 0.996855i | ||||
\(202\) | 1536.86 | + | 2661.93i | 0.535314 | + | 0.927191i | ||||
\(203\) | 776.580 | − | 651.628i | 0.268499 | − | 0.225297i | ||||
\(204\) | −3027.01 | + | 1101.74i | −1.03889 | + | 0.378124i | ||||
\(205\) | −184.791 | − | 67.2585i | −0.0629579 | − | 0.0229148i | ||||
\(206\) | 1435.55 | + | 1204.57i | 0.485533 | + | 0.407410i | ||||
\(207\) | −1103.85 | + | 6260.23i | −0.370641 | + | 2.10201i | ||||
\(208\) | 1128.07 | 0.376045 | ||||||||
\(209\) | 2284.91 | − | 1223.21i | 0.756222 | − | 0.404837i | ||||
\(210\) | 138.628 | 0.0455534 | ||||||||
\(211\) | 756.265 | − | 4288.99i | 0.246746 | − | 1.39937i | −0.569656 | − | 0.821883i | \(-0.692924\pi\) |
0.816402 | − | 0.577484i | \(-0.195965\pi\) | |||||||
\(212\) | −153.241 | − | 128.585i | −0.0496446 | − | 0.0416568i | ||||
\(213\) | 3026.00 | + | 1101.37i | 0.973419 | + | 0.354295i | ||||
\(214\) | −3714.81 | + | 1352.08i | −1.18663 | + | 0.431898i | ||||
\(215\) | −210.521 | + | 176.648i | −0.0667787 | + | 0.0560340i | ||||
\(216\) | 411.278 | + | 712.354i | 0.129555 | + | 0.224396i | ||||
\(217\) | −253.406 | + | 438.913i | −0.0792735 | + | 0.137306i | ||||
\(218\) | 134.496 | + | 762.764i | 0.0417854 | + | 0.236977i | ||||
\(219\) | 902.061 | + | 5115.84i | 0.278336 | + | 1.57852i | ||||
\(220\) | 56.7897 | − | 98.3627i | 0.0174035 | − | 0.0301437i | ||||
\(221\) | −3478.71 | − | 6025.31i | −1.05884 | − | 1.83396i | ||||
\(222\) | 4444.38 | − | 3729.27i | 1.34364 | − | 1.12744i | ||||
\(223\) | −1905.39 | + | 693.506i | −0.572172 | + | 0.208254i | −0.611870 | − | 0.790958i | \(-0.709583\pi\) |
0.0396981 | + | 0.999212i | \(0.487360\pi\) | |||||||
\(224\) | 281.475 | + | 102.449i | 0.0839592 | + | 0.0305587i | ||||
\(225\) | −3766.86 | − | 3160.77i | −1.11611 | − | 0.936525i | ||||
\(226\) | 412.989 | − | 2342.18i | 0.121556 | − | 0.689377i | ||||
\(227\) | −5131.71 | −1.50046 | −0.750228 | − | 0.661179i | \(-0.770056\pi\) | ||||
−0.750228 | + | 0.661179i | \(0.770056\pi\) | |||||||
\(228\) | −86.7116 | + | 2702.10i | −0.0251869 | + | 0.784872i | ||||
\(229\) | 4951.13 | 1.42873 | 0.714366 | − | 0.699772i | \(-0.246715\pi\) | ||||
0.714366 | + | 0.699772i | \(0.246715\pi\) | |||||||
\(230\) | −50.5865 | + | 286.890i | −0.0145025 | + | 0.0822477i | ||||
\(231\) | 1831.27 | + | 1536.62i | 0.521595 | + | 0.437670i | ||||
\(232\) | 814.148 | + | 296.326i | 0.230394 | + | 0.0838566i | ||||
\(233\) | 3823.13 | − | 1391.50i | 1.07494 | − | 0.391247i | 0.256919 | − | 0.966433i | \(-0.417293\pi\) |
0.818022 | + | 0.575186i | \(0.195071\pi\) | |||||||
\(234\) | −4277.45 | + | 3589.20i | −1.19498 | + | 1.00271i | ||||
\(235\) | 161.533 | + | 279.784i | 0.0448395 | + | 0.0776643i | ||||
\(236\) | 335.301 | − | 580.758i | 0.0924840 | − | 0.160187i | ||||
\(237\) | 992.540 | + | 5628.98i | 0.272036 | + | 1.54279i | ||||
\(238\) | −320.803 | − | 1819.37i | −0.0873722 | − | 0.495512i | ||||
\(239\) | 2275.38 | − | 3941.08i | 0.615826 | − | 1.06664i | −0.374413 | − | 0.927262i | \(-0.622156\pi\) |
0.990239 | − | 0.139380i | \(-0.0445109\pi\) | |||||||
\(240\) | 59.2387 | + | 102.604i | 0.0159327 | + | 0.0275962i | ||||
\(241\) | −5545.98 | + | 4653.63i | −1.48236 | + | 1.24384i | −0.578732 | + | 0.815518i | \(0.696452\pi\) |
−0.903624 | + | 0.428327i | \(0.859103\pi\) | |||||||
\(242\) | −660.973 | + | 240.574i | −0.175574 | + | 0.0639038i | ||||
\(243\) | 4373.15 | + | 1591.70i | 1.15448 | + | 0.420195i | ||||
\(244\) | 2450.10 | + | 2055.88i | 0.642835 | + | 0.539403i | ||||
\(245\) | 40.2380 | − | 228.201i | 0.0104927 | − | 0.0595070i | ||||
\(246\) | 3537.35 | 0.916803 | ||||||||
\(247\) | −5779.94 | + | 828.988i | −1.48894 | + | 0.213552i | ||||
\(248\) | −433.145 | −0.110906 | ||||||||
\(249\) | 363.385 | − | 2060.86i | 0.0924843 | − | 0.524505i | ||||
\(250\) | −346.396 | − | 290.660i | −0.0876319 | − | 0.0735319i | ||||
\(251\) | 5308.09 | + | 1931.99i | 1.33483 | + | 0.485840i | 0.908182 | − | 0.418576i | \(-0.137470\pi\) |
0.426653 | + | 0.904416i | \(0.359693\pi\) | |||||||
\(252\) | −1393.27 | + | 507.110i | −0.348286 | + | 0.126766i | ||||
\(253\) | −3848.27 | + | 3229.08i | −0.956280 | + | 0.802414i | ||||
\(254\) | 674.882 | + | 1168.93i | 0.166716 | + | 0.288760i | ||||
\(255\) | 365.358 | − | 632.819i | 0.0897240 | − | 0.155407i | ||||
\(256\) | 44.4539 | + | 252.111i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −1019.28 | − | 5780.62i | −0.247396 | − | 1.40306i | −0.814861 | − | 0.579657i | \(-0.803187\pi\) |
0.567464 | − | 0.823398i | \(-0.307925\pi\) | |||||||
\(258\) | 2471.70 | − | 4281.10i | 0.596438 | − | 1.03306i | ||||
\(259\) | 1663.67 | + | 2881.56i | 0.399133 | + | 0.691318i | ||||
\(260\) | −196.024 | + | 164.484i | −0.0467573 | + | 0.0392341i | ||||
\(261\) | −4029.94 | + | 1466.78i | −0.955737 | + | 0.347860i | ||||
\(262\) | −1201.54 | − | 437.324i | −0.283325 | − | 0.103122i | ||||
\(263\) | 2999.19 | + | 2516.62i | 0.703185 | + | 0.590042i | 0.922678 | − | 0.385572i | \(-0.125996\pi\) |
−0.219493 | + | 0.975614i | \(0.570440\pi\) | |||||||
\(264\) | −354.775 | + | 2012.03i | −0.0827080 | + | 0.469060i | ||||
\(265\) | 45.3777 | 0.0105190 | ||||||||
\(266\) | −1517.50 | − | 318.073i | −0.349789 | − | 0.0733170i | ||||
\(267\) | −7033.86 | −1.61223 | ||||||||
\(268\) | 279.184 | − | 1583.33i | 0.0636340 | − | 0.360886i | ||||
\(269\) | −61.8996 | − | 51.9399i | −0.0140301 | − | 0.0117726i | 0.635746 | − | 0.771899i | \(-0.280693\pi\) |
−0.649776 | + | 0.760126i | \(0.725137\pi\) | |||||||
\(270\) | −175.336 | − | 63.8172i | −0.0395208 | − | 0.0143844i | ||||
\(271\) | 7146.05 | − | 2600.95i | 1.60182 | − | 0.583013i | 0.622017 | − | 0.783004i | \(-0.286313\pi\) |
0.979798 | + | 0.199991i | \(0.0640912\pi\) | |||||||
\(272\) | 1209.51 | − | 1014.90i | 0.269621 | − | 0.226239i | ||||
\(273\) | −2692.92 | − | 4664.28i | −0.597008 | − | 1.03405i | ||||
\(274\) | 1070.50 | − | 1854.16i | 0.236027 | − | 0.408810i | ||||
\(275\) | −674.791 | − | 3826.93i | −0.147969 | − | 0.839172i | ||||
\(276\) | −909.951 | − | 5160.59i | −0.198451 | − | 1.12547i | ||||
\(277\) | 1053.02 | − | 1823.88i | 0.228411 | − | 0.395619i | −0.728927 | − | 0.684592i | \(-0.759980\pi\) |
0.957337 | + | 0.288973i | \(0.0933138\pi\) | |||||||
\(278\) | 1219.63 | + | 2112.46i | 0.263124 | + | 0.455745i | ||||
\(279\) | 1642.41 | − | 1378.15i | 0.352433 | − | 0.295726i | ||||
\(280\) | −63.8501 | + | 23.2395i | −0.0136278 | + | 0.00496010i | ||||
\(281\) | −1623.65 | − | 590.960i | −0.344693 | − | 0.125458i | 0.163872 | − | 0.986482i | \(-0.447602\pi\) |
−0.508565 | + | 0.861024i | \(0.669824\pi\) | |||||||
\(282\) | −4451.74 | − | 3735.45i | −0.940061 | − | 0.788805i | ||||
\(283\) | −226.298 | + | 1283.40i | −0.0475337 | + | 0.269577i | −0.999307 | − | 0.0372255i | \(-0.988148\pi\) |
0.951773 | + | 0.306803i | \(0.0992591\pi\) | |||||||
\(284\) | −1578.37 | −0.329785 | ||||||||
\(285\) | −378.926 | − | 482.187i | −0.0787567 | − | 0.100219i | ||||
\(286\) | −4412.69 | −0.912335 | ||||||||
\(287\) | −352.281 | + | 1997.88i | −0.0724547 | + | 0.410911i | ||||
\(288\) | −970.710 | − | 814.523i | −0.198610 | − | 0.166654i | ||||
\(289\) | −4533.97 | − | 1650.23i | −0.922851 | − | 0.335890i | ||||
\(290\) | −184.682 | + | 67.2187i | −0.0373962 | + | 0.0136111i | ||||
\(291\) | 5532.34 | − | 4642.18i | 1.11447 | − | 0.935153i | ||||
\(292\) | −1273.10 | − | 2205.07i | −0.255145 | − | 0.441924i | ||||
\(293\) | −620.258 | + | 1074.32i | −0.123672 | + | 0.214206i | −0.921213 | − | 0.389059i | \(-0.872800\pi\) |
0.797541 | + | 0.603265i | \(0.206134\pi\) | |||||||
\(294\) | 723.801 | + | 4104.88i | 0.143581 | + | 0.814291i | ||||
\(295\) | 26.4153 | + | 149.809i | 0.00521342 | + | 0.0295668i | ||||
\(296\) | −1421.85 | + | 2462.71i | −0.279200 | + | 0.483588i | ||||
\(297\) | −1608.81 | − | 2786.53i | −0.314318 | − | 0.544415i | ||||
\(298\) | −3907.05 | + | 3278.41i | −0.759495 | + | 0.637292i | ||||
\(299\) | 10635.4 | − | 3870.97i | 2.05706 | − | 0.748709i | ||||
\(300\) | 3809.08 | + | 1386.39i | 0.733058 | + | 0.266811i | ||||
\(301\) | 2171.80 | + | 1822.35i | 0.415882 | + | 0.348966i | ||||
\(302\) | 6.99790 | − | 39.6870i | 0.00133339 | − | 0.00756203i | ||||
\(303\) | 12542.1 | 2.37797 | ||||||||
\(304\) | −413.041 | − | 1259.09i | −0.0779261 | − | 0.237545i | ||||
\(305\) | −725.523 | −0.136208 | ||||||||
\(306\) | −1357.12 | + | 7696.64i | −0.253535 | + | 1.43787i | ||||
\(307\) | −3326.51 | − | 2791.27i | −0.618417 | − | 0.518913i | 0.278889 | − | 0.960323i | \(-0.410034\pi\) |
−0.897305 | + | 0.441410i | \(0.854478\pi\) | |||||||
\(308\) | −1101.06 | − | 400.751i | −0.203696 | − | 0.0741394i | ||||
\(309\) | 7185.48 | − | 2615.30i | 1.32287 | − | 0.481486i | ||||
\(310\) | 75.2675 | − | 63.1570i | 0.0137900 | − | 0.0115712i | ||||
\(311\) | 2286.24 | + | 3959.89i | 0.416852 | + | 0.722009i | 0.995621 | − | 0.0934828i | \(-0.0298000\pi\) |
−0.578769 | + | 0.815492i | \(0.696467\pi\) | |||||||
\(312\) | 2301.49 | − | 3986.30i | 0.417616 | − | 0.723332i | ||||
\(313\) | 706.081 | + | 4004.38i | 0.127508 | + | 0.723134i | 0.979787 | + | 0.200046i | \(0.0641091\pi\) |
−0.852278 | + | 0.523088i | \(0.824780\pi\) | |||||||
\(314\) | 297.122 | + | 1685.06i | 0.0533999 | + | 0.302846i | ||||
\(315\) | 168.167 | − | 291.274i | 0.0300798 | − | 0.0520998i | ||||
\(316\) | −1400.79 | − | 2426.24i | −0.249369 | − | 0.431920i | ||||
\(317\) | −1418.90 | + | 1190.60i | −0.251399 | + | 0.210949i | −0.759774 | − | 0.650187i | \(-0.774691\pi\) |
0.508376 | + | 0.861135i | \(0.330246\pi\) | |||||||
\(318\) | −767.029 | + | 279.176i | −0.135261 | + | 0.0492308i | ||||
\(319\) | −3184.72 | − | 1159.14i | −0.558967 | − | 0.203447i | ||||
\(320\) | −44.4851 | − | 37.3275i | −0.00777123 | − | 0.00652084i | ||||
\(321\) | −2801.08 | + | 15885.7i | −0.487043 | + | 2.76216i | ||||
\(322\) | 3005.30 | 0.520121 | ||||||||
\(323\) | −5451.39 | + | 6088.92i | −0.939083 | + | 1.04891i | ||||
\(324\) | −920.340 | −0.157809 | ||||||||
\(325\) | −1520.29 | + | 8621.97i | −0.259478 | + | 1.47157i | ||||
\(326\) | −2706.49 | − | 2271.01i | −0.459812 | − | 0.385828i | ||||
\(327\) | 2969.81 | + | 1080.92i | 0.502236 | + | 0.182799i | ||||
\(328\) | −1629.26 | + | 593.002i | −0.274271 | + | 0.0998263i | ||||
\(329\) | 2553.11 | − | 2142.32i | 0.427835 | − | 0.358996i | ||||
\(330\) | −231.726 | − | 401.360i | −0.0386548 | − | 0.0669520i | ||||
\(331\) | −3354.25 | + | 5809.73i | −0.556998 | + | 0.964749i | 0.440747 | + | 0.897631i | \(0.354714\pi\) |
−0.997745 | + | 0.0671175i | \(0.978620\pi\) | |||||||
\(332\) | 178.112 | + | 1010.12i | 0.0294432 | + | 0.166981i | ||||
\(333\) | −2444.27 | − | 13862.1i | −0.402237 | − | 2.28120i | ||||
\(334\) | 799.810 | − | 1385.31i | 0.131029 | − | 0.226949i | ||||
\(335\) | 182.353 | + | 315.844i | 0.0297403 | + | 0.0515116i | ||||
\(336\) | 936.295 | − | 785.645i | 0.152021 | − | 0.127561i | ||||
\(337\) | −1602.91 | + | 583.410i | −0.259098 | + | 0.0943038i | −0.468303 | − | 0.883568i | \(-0.655134\pi\) |
0.209205 | + | 0.977872i | \(0.432912\pi\) | |||||||
\(338\) | 5213.11 | + | 1897.42i | 0.838923 | + | 0.305343i | ||||
\(339\) | −7434.07 | − | 6237.92i | −1.19104 | − | 0.999402i | ||||
\(340\) | −62.1935 | + | 352.717i | −0.00992034 | + | 0.0562610i | ||||
\(341\) | 1694.34 | 0.269073 | ||||||||
\(342\) | 5572.26 | + | 3460.07i | 0.881033 | + | 0.547073i | ||||
\(343\) | −5601.20 | −0.881738 | ||||||||
\(344\) | −420.747 | + | 2386.17i | −0.0659452 | + | 0.373994i | ||||
\(345\) | 910.589 | + | 764.075i | 0.142100 | + | 0.119236i | ||||
\(346\) | −892.159 | − | 324.719i | −0.138621 | − | 0.0504538i | ||||
\(347\) | −10141.7 | + | 3691.27i | −1.56897 | + | 0.571060i | −0.972770 | − | 0.231774i | \(-0.925547\pi\) |
−0.596203 | + | 0.802833i | \(0.703325\pi\) | |||||||
\(348\) | 2708.17 | − | 2272.42i | 0.417164 | − | 0.350042i | ||||
\(349\) | −5093.98 | − | 8823.04i | −0.781303 | − | 1.35326i | −0.931183 | − | 0.364552i | \(-0.881222\pi\) |
0.149880 | − | 0.988704i | \(-0.452111\pi\) | |||||||
\(350\) | −1162.37 | + | 2013.29i | −0.177518 | + | 0.307470i | ||||
\(351\) | 1258.81 | + | 7139.07i | 0.191425 | + | 1.08563i | ||||
\(352\) | −173.892 | − | 986.189i | −0.0263309 | − | 0.149330i | ||||
\(353\) | 3351.53 | − | 5805.02i | 0.505337 | − | 0.875270i | −0.494644 | − | 0.869096i | \(-0.664701\pi\) |
0.999981 | − | 0.00617378i | \(-0.00196519\pi\) | |||||||
\(354\) | −1368.17 | − | 2369.73i | −0.205416 | − | 0.355791i | ||||
\(355\) | 274.274 | − | 230.143i | 0.0410054 | − | 0.0344076i | ||||
\(356\) | 3239.70 | − | 1179.15i | 0.482314 | − | 0.175548i | ||||
\(357\) | −7083.67 | − | 2578.25i | −1.05016 | − | 0.382228i | ||||
\(358\) | −3514.02 | − | 2948.61i | −0.518775 | − | 0.435304i | ||||
\(359\) | −645.749 | + | 3662.23i | −0.0949341 | + | 0.538398i | 0.899833 | + | 0.436234i | \(0.143688\pi\) |
−0.994768 | + | 0.102164i | \(0.967423\pi\) | |||||||
\(360\) | 287.446 | 0.0420826 | ||||||||
\(361\) | 3041.60 | + | 6147.73i | 0.443446 | + | 0.896301i | ||||
\(362\) | 106.437 | 0.0154536 | ||||||||
\(363\) | −498.393 | + | 2826.53i | −0.0720630 | + | 0.408690i | ||||
\(364\) | 2022.24 | + | 1696.86i | 0.291193 | + | 0.244340i | ||||
\(365\) | 542.748 | + | 197.544i | 0.0778321 | + | 0.0283286i | ||||
\(366\) | 12263.7 | − | 4463.61i | 1.75145 | − | 0.637477i | ||||
\(367\) | 4977.75 | − | 4176.83i | 0.708001 | − | 0.594083i | −0.216036 | − | 0.976385i | \(-0.569313\pi\) |
0.924037 | + | 0.382302i | \(0.124869\pi\) | |||||||
\(368\) | 1284.23 | + | 2224.35i | 0.181916 | + | 0.315088i | ||||
\(369\) | 4291.11 | − | 7432.43i | 0.605383 | − | 1.04855i | ||||
\(370\) | −112.014 | − | 635.265i | −0.0157388 | − | 0.0892591i | ||||
\(371\) | −81.2899 | − | 461.018i | −0.0113756 | − | 0.0645145i | ||||
\(372\) | −883.705 | + | 1530.62i | −0.123167 | + | 0.213331i | ||||
\(373\) | 6407.86 | + | 11098.7i | 0.889508 | + | 1.54067i | 0.840458 | + | 0.541876i | \(0.182286\pi\) |
0.0490493 | + | 0.998796i | \(0.484381\pi\) | |||||||
\(374\) | −4731.26 | + | 3969.99i | −0.654137 | + | 0.548886i | ||||
\(375\) | −1733.84 | + | 631.065i | −0.238760 | + | 0.0869015i | ||||
\(376\) | 2676.62 | + | 974.211i | 0.367118 | + | 0.133620i | ||||
\(377\) | 5849.20 | + | 4908.06i | 0.799069 | + | 0.670498i | ||||
\(378\) | −334.257 | + | 1895.66i | −0.0454823 | + | 0.257943i | ||||
\(379\) | −5664.79 | −0.767759 | −0.383880 | − | 0.923383i | \(-0.625412\pi\) | ||||
−0.383880 | + | 0.923383i | \(0.625412\pi\) | |||||||
\(380\) | 255.362 | + | 158.566i | 0.0344732 | + | 0.0214060i | ||||
\(381\) | 5507.59 | 0.740584 | ||||||||
\(382\) | 1276.19 | − | 7237.61i | 0.170930 | − | 0.969394i | ||||
\(383\) | −4346.00 | − | 3646.73i | −0.579818 | − | 0.486525i | 0.305069 | − | 0.952330i | \(-0.401320\pi\) |
−0.884887 | + | 0.465805i | \(0.845765\pi\) | |||||||
\(384\) | 981.590 | + | 357.270i | 0.130447 | + | 0.0474787i | ||||
\(385\) | 249.764 | − | 90.9067i | 0.0330628 | − | 0.0120339i | ||||
\(386\) | 2448.85 | − | 2054.83i | 0.322909 | − | 0.270953i | ||||
\(387\) | −5996.76 | − | 10386.7i | −0.787680 | − | 1.36430i | ||||
\(388\) | −1769.91 | + | 3065.57i | −0.231581 | + | 0.401110i | ||||
\(389\) | 95.5238 | + | 541.742i | 0.0124505 | + | 0.0706104i | 0.990400 | − | 0.138231i | \(-0.0441418\pi\) |
−0.977949 | + | 0.208842i | \(0.933031\pi\) | |||||||
\(390\) | 181.314 | + | 1028.28i | 0.0235415 | + | 0.133510i | ||||
\(391\) | 7920.58 | − | 13718.8i | 1.02445 | − | 1.77440i | ||||
\(392\) | −1021.52 | − | 1769.32i | −0.131618 | − | 0.227969i | ||||
\(393\) | −3996.77 | + | 3353.69i | −0.513004 | + | 0.430461i | ||||
\(394\) | −375.024 | + | 136.498i | −0.0479529 | + | 0.0174534i | ||||
\(395\) | 597.187 | + | 217.358i | 0.0760702 | + | 0.0276873i | ||||
\(396\) | 3797.16 | + | 3186.19i | 0.481854 | + | 0.404324i | ||||
\(397\) | 356.817 | − | 2023.61i | 0.0451087 | − | 0.255824i | −0.953911 | − | 0.300089i | \(-0.902984\pi\) |
0.999020 | + | 0.0442651i | \(0.0140946\pi\) | |||||||
\(398\) | 2987.19 | 0.376217 | ||||||||
\(399\) | −4220.00 | + | 4713.52i | −0.529485 | + | 0.591406i | ||||
\(400\) | −1986.83 | −0.248353 | ||||||||
\(401\) | 1890.59 | − | 10722.0i | 0.235440 | − | 1.33524i | −0.606246 | − | 0.795277i | \(-0.707325\pi\) |
0.841686 | − | 0.539968i | \(-0.181564\pi\) | |||||||
\(402\) | −5025.50 | − | 4216.90i | −0.623505 | − | 0.523183i | ||||
\(403\) | −3587.10 | − | 1305.60i | −0.443390 | − | 0.161381i | ||||
\(404\) | −5776.72 | + | 2102.55i | −0.711393 | + | 0.258926i | ||||
\(405\) | 159.928 | − | 134.195i | 0.0196219 | − | 0.0164647i | ||||
\(406\) | 1013.75 | + | 1755.87i | 0.123920 | + | 0.214637i | ||||
\(407\) | 5561.87 | − | 9633.45i | 0.677376 | − | 1.17325i | ||||
\(408\) | −1118.74 | − | 6344.68i | −0.135749 | − | 0.769873i | ||||
\(409\) | −811.478 | − | 4602.12i | −0.0981052 | − | 0.556382i | −0.993752 | − | 0.111615i | \(-0.964398\pi\) |
0.895646 | − | 0.444767i | \(-0.146714\pi\) | |||||||
\(410\) | 196.651 | − | 340.609i | 0.0236875 | − | 0.0410280i | ||||
\(411\) | −4368.09 | − | 7565.75i | −0.524238 | − | 0.908007i | ||||
\(412\) | −2871.11 | + | 2409.14i | −0.343324 | + | 0.288083i | ||||
\(413\) | 1474.67 | − | 536.736i | 0.175699 | − | 0.0639493i | ||||
\(414\) | −11946.9 | − | 4348.31i | −1.41825 | − | 0.516203i | ||||
\(415\) | −178.237 | − | 149.558i | −0.0210827 | − | 0.0176904i | ||||
\(416\) | −391.774 | + | 2221.86i | −0.0461737 | + | 0.261864i | ||||
\(417\) | 9953.20 | 1.16885 | ||||||||
\(418\) | 1615.71 | + | 4925.21i | 0.189059 | + | 0.576315i | ||||
\(419\) | −3461.26 | −0.403565 | −0.201782 | − | 0.979430i | \(-0.564673\pi\) | ||||
−0.201782 | + | 0.979430i | \(0.564673\pi\) | |||||||
\(420\) | −48.1449 | + | 273.043i | −0.00559340 | + | 0.0317218i | ||||
\(421\) | −187.741 | − | 157.533i | −0.0217338 | − | 0.0182368i | 0.631856 | − | 0.775086i | \(-0.282293\pi\) |
−0.653590 | + | 0.756849i | \(0.726738\pi\) | |||||||
\(422\) | 8185.02 | + | 2979.10i | 0.944172 | + | 0.343650i | ||||
\(423\) | −13249.0 | + | 4822.24i | −1.52290 | + | 0.554292i | ||||
\(424\) | 306.483 | − | 257.169i | 0.0351040 | − | 0.0294558i | ||||
\(425\) | 6126.94 | + | 10612.2i | 0.699295 | + | 1.21121i | ||||
\(426\) | −3220.20 | + | 5577.56i | −0.366243 | + | 0.634351i | ||||
\(427\) | 1299.71 | + | 7371.00i | 0.147300 | + | 0.835381i | ||||
\(428\) | −1372.94 | − | 7786.31i | −0.155055 | − | 0.879359i | ||||
\(429\) | −9002.81 | + | 15593.3i | −1.01319 | + | 1.75490i | ||||
\(430\) | −274.816 | − | 475.995i | −0.0308205 | − | 0.0533826i | ||||
\(431\) | 643.402 | − | 539.878i | 0.0719062 | − | 0.0603365i | −0.606126 | − | 0.795369i | \(-0.707277\pi\) |
0.678032 | + | 0.735032i | \(0.262833\pi\) | |||||||
\(432\) | −1545.90 | + | 562.661i | −0.172169 | + | 0.0626644i | ||||
\(433\) | 4348.79 | + | 1582.83i | 0.482655 | + | 0.175672i | 0.571876 | − | 0.820340i | \(-0.306216\pi\) |
−0.0892215 | + | 0.996012i | \(0.528438\pi\) | |||||||
\(434\) | −776.482 | − | 651.546i | −0.0858810 | − | 0.0720627i | ||||
\(435\) | −139.256 | + | 789.758i | −0.0153490 | + | 0.0870483i | ||||
\(436\) | −1549.06 | −0.170153 | ||||||||
\(437\) | −8214.72 | − | 10453.3i | −0.899229 | − | 1.14428i | ||||
\(438\) | −10389.5 | −1.13340 | ||||||||
\(439\) | 1575.00 | − | 8932.30i | 0.171232 | − | 0.971105i | −0.771172 | − | 0.636627i | \(-0.780329\pi\) |
0.942404 | − | 0.334478i | \(-0.108560\pi\) | |||||||
\(440\) | 174.014 | + | 146.015i | 0.0188540 | + | 0.0158204i | ||||
\(441\) | 9502.90 | + | 3458.77i | 1.02612 | + | 0.373477i | ||||
\(442\) | 13075.7 | − | 4759.16i | 1.40712 | − | 0.512150i | ||||
\(443\) | −13101.3 | + | 10993.3i | −1.40510 | + | 1.17902i | −0.446324 | + | 0.894871i | \(0.647267\pi\) |
−0.958780 | + | 0.284151i | \(0.908288\pi\) | |||||||
\(444\) | 5801.72 | + | 10048.9i | 0.620129 | + | 1.07410i | ||||
\(445\) | −391.030 | + | 677.284i | −0.0416553 | + | 0.0721491i | ||||
\(446\) | −704.204 | − | 3993.74i | −0.0747646 | − | 0.424011i | ||||
\(447\) | 3613.85 | + | 20495.2i | 0.382392 | + | 2.16865i | ||||
\(448\) | −299.540 | + | 518.818i | −0.0315891 | + | 0.0547140i | ||||
\(449\) | 3468.86 | + | 6008.23i | 0.364600 | + | 0.631506i | 0.988712 | − | 0.149829i | \(-0.0478724\pi\) |
−0.624112 | + | 0.781335i | \(0.714539\pi\) | |||||||
\(450\) | 7533.73 | − | 6321.55i | 0.789207 | − | 0.662223i | ||||
\(451\) | 6373.22 | − | 2319.66i | 0.665417 | − | 0.242192i | ||||
\(452\) | 4469.76 | + | 1626.86i | 0.465132 | + | 0.169294i | ||||
\(453\) | −125.967 | − | 105.699i | −0.0130650 | − | 0.0109628i | ||||
\(454\) | 1782.22 | − | 10107.5i | 0.184238 | − | 1.04486i | ||||
\(455\) | −598.826 | −0.0616997 | ||||||||
\(456\) | −5291.98 | − | 1109.22i | −0.543464 | − | 0.113912i | ||||
\(457\) | 13162.4 | 1.34729 | 0.673644 | − | 0.739056i | \(-0.264728\pi\) | ||||
0.673644 | + | 0.739056i | \(0.264728\pi\) | |||||||
\(458\) | −1719.51 | + | 9751.81i | −0.175431 | + | 0.994918i | ||||
\(459\) | 7772.54 | + | 6521.93i | 0.790394 | + | 0.663220i | ||||
\(460\) | −547.495 | − | 199.272i | −0.0554936 | − | 0.0201980i | ||||
\(461\) | 4996.64 | − | 1818.63i | 0.504808 | − | 0.183735i | −0.0770472 | − | 0.997027i | \(-0.524549\pi\) |
0.581855 | + | 0.813292i | \(0.302327\pi\) | |||||||
\(462\) | −3662.53 | + | 3073.23i | −0.368824 | + | 0.309480i | ||||
\(463\) | 2258.64 | + | 3912.07i | 0.226712 | + | 0.392677i | 0.956832 | − | 0.290642i | \(-0.0938690\pi\) |
−0.730120 | + | 0.683319i | \(0.760536\pi\) | |||||||
\(464\) | −866.398 | + | 1500.65i | −0.0866843 | + | 0.150142i | ||||
\(465\) | −69.6191 | − | 394.829i | −0.00694303 | − | 0.0393759i | ||||
\(466\) | 1412.97 | + | 8013.35i | 0.140460 | + | 0.796591i | ||||
\(467\) | −1846.92 | + | 3198.95i | −0.183009 | + | 0.316980i | −0.942904 | − | 0.333065i | \(-0.891917\pi\) |
0.759895 | + | 0.650046i | \(0.225250\pi\) | |||||||
\(468\) | −5583.81 | − | 9671.44i | −0.551521 | − | 0.955262i | ||||
\(469\) | 2882.17 | − | 2418.43i | 0.283766 | − | 0.238108i | ||||
\(470\) | −607.167 | + | 220.991i | −0.0595884 | + | 0.0216884i | ||||
\(471\) | 6560.77 | + | 2387.93i | 0.641835 | + | 0.233609i | ||||
\(472\) | 1027.42 | + | 862.109i | 0.100193 | + | 0.0840715i | ||||
\(473\) | 1645.85 | − | 9334.07i | 0.159992 | − | 0.907359i | ||||
\(474\) | −11431.6 | −1.10775 | ||||||||
\(475\) | 10180.0 | − | 1460.07i | 0.983351 | − | 0.141037i | ||||
\(476\) | 3694.86 | 0.355785 | ||||||||
\(477\) | −343.889 | + | 1950.29i | −0.0330096 | + | 0.187207i | ||||
\(478\) | 6972.18 | + | 5850.36i | 0.667155 | + | 0.559810i | ||||
\(479\) | −9002.73 | − | 3276.72i | −0.858758 | − | 0.312562i | −0.125152 | − | 0.992138i | \(-0.539942\pi\) |
−0.733606 | + | 0.679575i | \(0.762164\pi\) | |||||||
\(480\) | −222.665 | + | 81.0433i | −0.0211733 | + | 0.00770646i | ||||
\(481\) | −19198.2 | + | 16109.2i | −1.81988 | + | 1.52706i | ||||
\(482\) | −7239.76 | − | 12539.6i | −0.684154 | − | 1.18499i | ||||
\(483\) | 6131.44 | − | 10620.0i | 0.577619 | − | 1.00047i | ||||
\(484\) | −244.286 | − | 1385.41i | −0.0229419 | − | 0.130110i | ||||
\(485\) | −139.435 | − | 790.775i | −0.0130545 | − | 0.0740355i | ||||
\(486\) | −4653.81 | + | 8060.63i | −0.434364 | + | 0.752341i | ||||
\(487\) | −8704.18 | − | 15076.1i | −0.809906 | − | 1.40280i | −0.912929 | − | 0.408119i | \(-0.866185\pi\) |
0.103023 | − | 0.994679i | \(-0.467149\pi\) | |||||||
\(488\) | −4900.21 | + | 4111.76i | −0.454553 | + | 0.381415i | ||||
\(489\) | −13547.0 | + | 4930.70i | −1.25279 | + | 0.455979i | ||||
\(490\) | 435.493 | + | 158.507i | 0.0401502 | + | 0.0146135i | ||||
\(491\) | 835.295 | + | 700.896i | 0.0767746 | + | 0.0644216i | 0.680367 | − | 0.732871i | \(-0.261820\pi\) |
−0.603593 | + | 0.797293i | \(0.706265\pi\) | |||||||
\(492\) | −1228.51 | + | 6967.23i | −0.112572 | + | 0.638429i | ||||
\(493\) | 10687.1 | 0.976317 | ||||||||
\(494\) | 374.566 | − | 11672.2i | 0.0341144 | − | 1.06307i | ||||
\(495\) | −1124.41 | −0.102098 | ||||||||
\(496\) | 150.430 | − | 853.128i | 0.0136179 | − | 0.0772310i | ||||
\(497\) | −2829.49 | − | 2374.22i | −0.255372 | − | 0.214282i | ||||
\(498\) | 3932.90 | + | 1431.46i | 0.353890 | + | 0.128806i | ||||
\(499\) | 7617.21 | − | 2772.44i | 0.683353 | − | 0.248720i | 0.0230666 | − | 0.999734i | \(-0.492657\pi\) |
0.660287 | + | 0.751014i | \(0.270435\pi\) | |||||||
\(500\) | 692.791 | − | 581.321i | 0.0619651 | − | 0.0519949i | ||||
\(501\) | −3263.56 | − | 5652.65i | −0.291028 | − | 0.504075i | ||||
\(502\) | −5648.75 | + | 9783.92i | −0.502223 | + | 0.869876i | ||||
\(503\) | −415.618 | − | 2357.09i | −0.0368419 | − | 0.208941i | 0.960830 | − | 0.277139i | \(-0.0893862\pi\) |
−0.997672 | + | 0.0681979i | \(0.978275\pi\) | |||||||
\(504\) | −514.933 | − | 2920.33i | −0.0455098 | − | 0.258099i | ||||
\(505\) | 697.247 | − | 1207.67i | 0.0614398 | − | 0.106417i | ||||
\(506\) | −5023.56 | − | 8701.07i | −0.441353 | − | 0.764446i | ||||
\(507\) | 17340.8 | − | 14550.7i | 1.51900 | − | 1.27459i | ||||
\(508\) | −2536.73 | + | 923.292i | −0.221553 | + | 0.0806387i | ||||
\(509\) | 126.063 | + | 45.8831i | 0.0109777 | + | 0.00399554i | 0.347503 | − | 0.937679i | \(-0.387030\pi\) |
−0.336525 | + | 0.941674i | \(0.609252\pi\) | |||||||
\(510\) | 1119.52 | + | 939.391i | 0.0972026 | + | 0.0815626i | ||||
\(511\) | 1034.68 | − | 5867.96i | 0.0895725 | − | 0.507991i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 7507.33 | − | 4018.98i | 0.646114 | − | 0.345892i | ||||
\(514\) | 11739.6 | 1.00741 | ||||||||
\(515\) | 147.634 | − | 837.274i | 0.0126321 | − | 0.0716402i | ||||
\(516\) | 7573.72 | + | 6355.10i | 0.646152 | + | 0.542186i | ||||
\(517\) | −10470.2 | − | 3810.85i | −0.890677 | − | 0.324180i | ||||
\(518\) | −6253.35 | + | 2276.03i | −0.530418 | + | 0.193056i | ||||
\(519\) | −2967.66 | + | 2490.17i | −0.250994 | + | 0.210609i | ||||
\(520\) | −255.891 | − | 443.217i | −0.0215800 | − | 0.0373776i | ||||
\(521\) | −3961.59 | + | 6861.68i | −0.333130 | + | 0.576998i | −0.983124 | − | 0.182942i | \(-0.941438\pi\) |
0.649994 | + | 0.759939i | \(0.274771\pi\) | |||||||
\(522\) | −1489.41 | − | 8446.85i | −0.124884 | − | 0.708254i | ||||
\(523\) | −793.008 | − | 4497.37i | −0.0663017 | − | 0.376016i | −0.999846 | − | 0.0175535i | \(-0.994412\pi\) |
0.933544 | − | 0.358462i | \(-0.116699\pi\) | |||||||
\(524\) | 1278.65 | − | 2214.68i | 0.106599 | − | 0.184635i | ||||
\(525\) | 4742.96 | + | 8215.04i | 0.394285 | + | 0.682921i | ||||
\(526\) | −5998.37 | + | 5033.23i | −0.497227 | + | 0.417223i | ||||
\(527\) | −5020.68 | + | 1827.38i | −0.414998 | + | 0.151047i | ||||
\(528\) | −3839.71 | − | 1397.54i | −0.316481 | − | 0.115190i | ||||
\(529\) | 10420.1 | + | 8743.54i | 0.856427 | + | 0.718627i | ||||
\(530\) | −15.7595 | + | 89.3767i | −0.00129160 | + | 0.00732505i | ||||
\(531\) | −6638.81 | −0.542561 | ||||||||
\(532\) | 1153.50 | − | 2878.43i | 0.0940052 | − | 0.234578i | ||||
\(533\) | −15280.2 | −1.24176 | ||||||||
\(534\) | 2442.83 | − | 13854.0i | 0.197962 | − | 1.12270i | ||||
\(535\) | 1373.90 | + | 1152.84i | 0.111026 | + | 0.0931619i | ||||
\(536\) | 3021.60 | + | 1099.77i | 0.243495 | + | 0.0886248i | ||||
\(537\) | −17589.0 | + | 6401.85i | −1.41344 | + | 0.514451i | ||||
\(538\) | 123.799 | − | 103.880i | 0.00992075 | − | 0.00832449i | ||||
\(539\) | 3995.89 | + | 6921.08i | 0.319323 | + | 0.553084i | ||||
\(540\) | 186.589 | − | 323.182i | 0.0148695 | − | 0.0257547i | ||||
\(541\) | −2703.70 | − | 15333.4i | −0.214863 | − | 1.21855i | −0.881144 | − | 0.472849i | \(-0.843226\pi\) |
0.666280 | − | 0.745701i | \(-0.267885\pi\) | |||||||
\(542\) | 2641.07 | + | 14978.3i | 0.209306 | + | 1.18703i | ||||
\(543\) | 217.154 | − | 376.121i | 0.0171620 | − | 0.0297254i | ||||
\(544\) | 1578.90 | + | 2734.73i | 0.124439 | + | 0.215534i | ||||
\(545\) | 269.181 | − | 225.869i | 0.0211568 | − | 0.0177526i | ||||
\(546\) | 10122.1 | − | 3684.13i | 0.793379 | − | 0.288766i | ||||
\(547\) | 1137.61 | + | 414.055i | 0.0889224 | + | 0.0323651i | 0.386098 | − | 0.922458i | \(-0.373823\pi\) |
−0.297176 | + | 0.954823i | \(0.596045\pi\) | |||||||
\(548\) | 3280.20 | + | 2752.42i | 0.255700 | + | 0.214557i | ||||
\(549\) | 5498.27 | − | 31182.3i | 0.427433 | − | 2.42409i | ||||
\(550\) | 7771.93 | 0.602538 | ||||||||
\(551\) | 3336.43 | − | 8325.64i | 0.257961 | − | 0.643710i | ||||
\(552\) | 10480.4 | 0.808107 | ||||||||
\(553\) | 1138.46 | − | 6456.54i | 0.0875449 | − | 0.496492i | ||||
\(554\) | 3226.64 | + | 2707.47i | 0.247449 | + | 0.207634i | ||||
\(555\) | −2473.40 | − | 900.242i | −0.189171 | − | 0.0688525i | ||||
\(556\) | −4584.31 | + | 1668.55i | −0.349673 | + | 0.127271i | ||||
\(557\) | 3386.90 | − | 2841.95i | 0.257644 | − | 0.216189i | −0.504812 | − | 0.863229i | \(-0.668438\pi\) |
0.762455 | + | 0.647041i | \(0.223994\pi\) | |||||||
\(558\) | 2144.02 | + | 3713.55i | 0.162659 | + | 0.281733i | ||||
\(559\) | −10676.9 | + | 18493.0i | −0.807845 | + | 1.39923i | ||||
\(560\) | −23.5980 | − | 133.831i | −0.00178071 | − | 0.0100989i | ||||
\(561\) | 4376.20 | + | 24818.7i | 0.329346 | + | 1.86782i | ||||
\(562\) | 1727.85 | − | 2992.73i | 0.129689 | − | 0.224627i | ||||
\(563\) | 4890.51 | + | 8470.61i | 0.366093 | + | 0.634092i | 0.988951 | − | 0.148243i | \(-0.0473619\pi\) |
−0.622858 | + | 0.782335i | \(0.714029\pi\) | |||||||
\(564\) | 8903.48 | − | 7470.91i | 0.664724 | − | 0.557769i | ||||
\(565\) | −1013.92 | + | 369.038i | −0.0754974 | + | 0.0274788i | ||||
\(566\) | −2449.22 | − | 891.442i | −0.181887 | − | 0.0662016i | ||||
\(567\) | −1649.86 | − | 1384.40i | −0.122200 | − | 0.102538i | ||||
\(568\) | 548.162 | − | 3108.78i | 0.0404936 | − | 0.229651i | ||||
\(569\) | −17904.4 | −1.31914 | −0.659571 | − | 0.751643i | \(-0.729262\pi\) | ||||
−0.659571 | + | 0.751643i | \(0.729262\pi\) | |||||||
\(570\) | 1081.32 | − | 578.877i | 0.0794590 | − | 0.0425377i | ||||
\(571\) | 16904.3 | 1.23892 | 0.619460 | − | 0.785028i | \(-0.287352\pi\) | ||||
0.619460 | + | 0.785028i | \(0.287352\pi\) | |||||||
\(572\) | 1532.51 | − | 8691.31i | 0.112024 | − | 0.635318i | ||||
\(573\) | −22972.2 | − | 19275.9i | −1.67483 | − | 1.40535i | ||||
\(574\) | −3812.72 | − | 1387.72i | −0.277247 | − | 0.100910i | ||||
\(575\) | −18731.8 | + | 6817.81i | −1.35856 | + | 0.494474i | ||||
\(576\) | 1941.42 | − | 1629.05i | 0.140438 | − | 0.117842i | ||||
\(577\) | 5208.76 | + | 9021.84i | 0.375812 | + | 0.650925i | 0.990448 | − | 0.137885i | \(-0.0440305\pi\) |
−0.614636 | + | 0.788811i | \(0.710697\pi\) | |||||||
\(578\) | 4824.95 | − | 8357.06i | 0.347217 | − | 0.601397i | ||||
\(579\) | −2265.07 | − | 12845.9i | −0.162579 | − | 0.922031i | ||||
\(580\) | −68.2556 | − | 387.097i | −0.00488648 | − | 0.0277126i | ||||
\(581\) | −1200.15 | + | 2078.73i | −0.0856985 | + | 0.148434i | ||||
\(582\) | 7221.95 | + | 12508.8i | 0.514364 | + | 0.890904i | ||||
\(583\) | −1198.88 | + | 1005.98i | −0.0851670 | + | 0.0714636i | ||||
\(584\) | 4785.28 | − | 1741.70i | 0.339069 | − | 0.123411i | ||||
\(585\) | 2380.50 | + | 866.429i | 0.168242 | + | 0.0612350i | ||||
\(586\) | −1900.58 | − | 1594.78i | −0.133980 | − | 0.112423i | ||||
\(587\) | −2645.30 | + | 15002.3i | −0.186002 | + | 1.05487i | 0.738659 | + | 0.674080i | \(0.235460\pi\) |
−0.924661 | + | 0.380792i | \(0.875652\pi\) | |||||||
\(588\) | −8336.41 | −0.584673 | ||||||||
\(589\) | −143.822 | + | 4481.77i | −0.0100613 | + | 0.313528i | ||||
\(590\) | −304.239 | −0.0212294 | ||||||||
\(591\) | −282.780 | + | 1603.72i | −0.0196819 | + | 0.111622i | ||||
\(592\) | −4356.79 | − | 3655.78i | −0.302471 | − | 0.253803i | ||||
\(593\) | 22336.3 | + | 8129.75i | 1.54678 | + | 0.562983i | 0.967660 | − | 0.252258i | \(-0.0811732\pi\) |
0.579122 | + | 0.815241i | \(0.303395\pi\) | |||||||
\(594\) | 6047.13 | − | 2200.98i | 0.417705 | − | 0.152032i | ||||
\(595\) | −642.057 | + | 538.749i | −0.0442382 | + | 0.0371203i | ||||
\(596\) | −5100.30 | − | 8833.97i | −0.350531 | − | 0.607137i | ||||
\(597\) | 6094.49 | − | 10556.0i | 0.417807 | − | 0.723663i | ||||
\(598\) | 3930.69 | + | 22292.0i | 0.268792 | + | 1.52440i | ||||
\(599\) | 1089.16 | + | 6176.91i | 0.0742934 | + | 0.421339i | 0.999157 | + | 0.0410408i | \(0.0130674\pi\) |
−0.924864 | + | 0.380298i | \(0.875822\pi\) | |||||||
\(600\) | −4053.54 | + | 7020.94i | −0.275808 | + | 0.477714i | ||||
\(601\) | 6205.53 | + | 10748.3i | 0.421180 | + | 0.729505i | 0.996055 | − | 0.0887362i | \(-0.0282828\pi\) |
−0.574875 | + | 0.818241i | \(0.694949\pi\) | |||||||
\(602\) | −4343.60 | + | 3644.71i | −0.294073 | + | 0.246756i | ||||
\(603\) | −14956.6 | + | 5443.75i | −1.01008 | + | 0.367640i | ||||
\(604\) | 75.7379 | + | 27.5663i | 0.00510220 | + | 0.00185705i | ||||
\(605\) | 244.457 | + | 205.124i | 0.0164274 | + | 0.0137843i | ||||
\(606\) | −4355.82 | + | 24703.1i | −0.291985 | + | 1.65593i | ||||
\(607\) | −14587.9 | −0.975459 | −0.487730 | − | 0.872995i | \(-0.662175\pi\) | ||||
−0.487730 | + | 0.872995i | \(0.662175\pi\) | |||||||
\(608\) | 2623.37 | − | 376.256i | 0.174986 | − | 0.0250974i | ||||
\(609\) | 8273.06 | 0.550479 | ||||||||
\(610\) | 251.972 | − | 1429.00i | 0.0167246 | − | 0.0948502i | ||||
\(611\) | 19230.0 | + | 16135.9i | 1.27326 | + | 1.06840i | ||||
\(612\) | −14688.1 | − | 5346.03i | −0.970148 | − | 0.353105i | ||||
\(613\) | 2015.75 | − | 733.674i | 0.132815 | − | 0.0483406i | −0.274758 | − | 0.961514i | \(-0.588598\pi\) |
0.407572 | + | 0.913173i | \(0.366375\pi\) | |||||||
\(614\) | 6653.02 | − | 5582.55i | 0.437287 | − | 0.366927i | ||||
\(615\) | −802.416 | − | 1389.83i | −0.0526122 | − | 0.0911271i | ||||
\(616\) | 1171.72 | − | 2029.48i | 0.0766394 | − | 0.132743i | ||||
\(617\) | −3922.70 | − | 22246.7i | −0.255951 | − | 1.45157i | −0.793620 | − | 0.608414i | \(-0.791806\pi\) |
0.537669 | − | 0.843156i | \(-0.319305\pi\) | |||||||
\(618\) | 2655.64 | + | 15060.9i | 0.172857 | + | 0.980321i | ||||
\(619\) | −1630.80 | + | 2824.63i | −0.105892 | + | 0.183411i | −0.914102 | − | 0.405483i | \(-0.867103\pi\) |
0.808210 | + | 0.588894i | \(0.200437\pi\) | |||||||
\(620\) | 98.2548 | + | 170.182i | 0.00636453 | + | 0.0110237i | ||||
\(621\) | −12643.9 | + | 10609.5i | −0.817043 | + | 0.685581i | ||||
\(622\) | −8593.46 | + | 3127.77i | −0.553965 | + | 0.201627i | ||||
\(623\) | 7581.40 | + | 2759.41i | 0.487548 | + | 0.177453i | ||||
\(624\) | 7052.18 | + | 5917.48i | 0.452425 | + | 0.379629i | ||||
\(625\) | 2659.76 | − | 15084.2i | 0.170225 | − | 0.965391i | ||||
\(626\) | −8132.31 | −0.519221 | ||||||||
\(627\) | 20700.8 | + | 4338.96i | 1.31852 | + | 0.276366i | ||||
\(628\) | −3422.12 | −0.217448 | ||||||||
\(629\) | −6091.11 | + | 34544.4i | −0.386118 | + | 2.18979i | ||||
\(630\) | 515.294 | + | 432.383i | 0.0325870 | + | 0.0273437i | ||||
\(631\) | −12030.6 | − | 4378.78i | −0.759002 | − | 0.276254i | −0.0666134 | − | 0.997779i | \(-0.521219\pi\) |
−0.692389 | + | 0.721525i | \(0.743442\pi\) | |||||||
\(632\) | 5265.26 | − | 1916.40i | 0.331393 | − | 0.120617i | ||||
\(633\) | 27226.5 | − | 22845.8i | 1.70957 | − | 1.43450i | ||||
\(634\) | −1852.24 | − | 3208.18i | −0.116028 | − | 0.200967i | ||||
\(635\) | 306.181 | − | 530.321i | 0.0191345 | − | 0.0331420i | ||||
\(636\) | −283.483 | − | 1607.71i | −0.0176742 | − | 0.100236i | ||||
\(637\) | −3126.58 | − | 17731.7i | −0.194474 | − | 1.10291i | ||||
\(638\) | 3389.11 | − | 5870.12i | 0.210308 | − | 0.364264i | ||||
\(639\) | 7812.76 | + | 13532.1i | 0.483675 | + | 0.837749i | ||||
\(640\) | 88.9703 | − | 74.6549i | 0.00549509 | − | 0.00461093i | ||||
\(641\) | 19323.6 | − | 7033.23i | 1.19070 | − | 0.433379i | 0.330730 | − | 0.943725i | \(-0.392705\pi\) |
0.859969 | + | 0.510347i | \(0.170483\pi\) | |||||||
\(642\) | −30315.9 | − | 11034.1i | −1.86367 | − | 0.678319i | ||||
\(643\) | −8619.87 | − | 7232.93i | −0.528670 | − | 0.443606i | 0.338972 | − | 0.940796i | \(-0.389921\pi\) |
−0.867642 | + | 0.497190i | \(0.834365\pi\) | |||||||
\(644\) | −1043.73 | + | 5919.29i | −0.0638645 | + | 0.362193i | ||||
\(645\) | −2242.72 | −0.136910 | ||||||||
\(646\) | −10099.6 | − | 12851.8i | −0.615112 | − | 0.782736i | ||||
\(647\) | −6365.94 | −0.386817 | −0.193409 | − | 0.981118i | \(-0.561954\pi\) | ||||
−0.193409 | + | 0.981118i | \(0.561954\pi\) | |||||||
\(648\) | 319.631 | − | 1812.72i | 0.0193770 | − | 0.109892i | ||||
\(649\) | −4018.99 | − | 3372.33i | −0.243081 | − | 0.203969i | ||||
\(650\) | −16454.0 | − | 5988.76i | −0.992889 | − | 0.361382i | ||||
\(651\) | −3886.58 | + | 1414.60i | −0.233989 | + | 0.0851652i | ||||
\(652\) | 5412.98 | − | 4542.03i | 0.325136 | − | 0.272821i | ||||
\(653\) | 11749.5 | + | 20350.7i | 0.704125 | + | 1.21958i | 0.967006 | + | 0.254752i | \(0.0819939\pi\) |
−0.262881 | + | 0.964828i | \(0.584673\pi\) | |||||||
\(654\) | −3160.41 | + | 5473.99i | −0.188963 | + | 0.327293i | ||||
\(655\) | 100.733 | + | 571.286i | 0.00600911 | + | 0.0340794i | ||||
\(656\) | −602.150 | − | 3414.96i | −0.0358384 | − | 0.203250i | ||||
\(657\) | −12603.4 | + | 21829.7i | −0.748409 | + | 1.29628i | ||||
\(658\) | 3332.85 | + | 5772.67i | 0.197459 | + | 0.342009i | ||||
\(659\) | 10441.2 | − | 8761.22i | 0.617196 | − | 0.517889i | −0.279725 | − | 0.960080i | \(-0.590243\pi\) |
0.896921 | + | 0.442192i | \(0.145799\pi\) | |||||||
\(660\) | 871.003 | − | 317.019i | 0.0513693 | − | 0.0186969i | ||||
\(661\) | −13057.8 | − | 4752.67i | −0.768368 | − | 0.279663i | −0.0720544 | − | 0.997401i | \(-0.522956\pi\) |
−0.696314 | + | 0.717738i | \(0.745178\pi\) | |||||||
\(662\) | −10278.0 | − | 8624.29i | −0.603424 | − | 0.506333i | ||||
\(663\) | 9859.46 | − | 55915.8i | 0.577541 | − | 3.27540i | ||||
\(664\) | −2051.41 | −0.119895 | ||||||||
\(665\) | 219.260 | + | 668.377i | 0.0127858 | + | 0.0389753i | ||||
\(666\) | 28151.9 | 1.63794 | ||||||||
\(667\) | −3018.91 | + | 17121.1i | −0.175252 | + | 0.993902i | ||||
\(668\) | 2450.76 | + | 2056.43i | 0.141950 | + | 0.119110i | ||||
\(669\) | −15549.6 | − | 5659.58i | −0.898627 | − | 0.327073i | ||||
\(670\) | −685.422 | + | 249.473i | −0.0395226 | + | 0.0143851i | ||||
\(671\) | 19168.3 | − | 16084.1i | 1.10281 | − | 0.925364i | ||||
\(672\) | 1222.25 | + | 2116.99i | 0.0701625 | + | 0.121525i | ||||
\(673\) | 6274.98 | − | 10868.6i | 0.359410 | − | 0.622516i | −0.628453 | − | 0.777848i | \(-0.716311\pi\) |
0.987862 | + | 0.155332i | \(0.0496447\pi\) | |||||||
\(674\) | −592.411 | − | 3359.73i | −0.0338558 | − | 0.192006i | ||||
\(675\) | −2217.10 | − | 12573.8i | −0.126424 | − | 0.716987i | ||||
\(676\) | −5547.68 | + | 9608.86i | −0.315639 | + | 0.546703i | ||||
\(677\) | −8666.72 | − | 15011.2i | −0.492007 | − | 0.852182i | 0.507950 | − | 0.861386i | \(-0.330403\pi\) |
−0.999958 | + | 0.00920472i | \(0.997070\pi\) | |||||||
\(678\) | 14868.1 | − | 12475.8i | 0.842194 | − | 0.706684i | ||||
\(679\) | −7784.14 | + | 2833.20i | −0.439953 | + | 0.160130i | ||||
\(680\) | −673.117 | − | 244.995i | −0.0379601 | − | 0.0138163i | ||||
\(681\) | −32081.2 | − | 26919.3i | −1.80522 | − | 1.51476i | ||||
\(682\) | −588.439 | + | 3337.21i | −0.0330389 | + | 0.187373i | ||||
\(683\) | 17267.7 | 0.967393 | 0.483696 | − | 0.875236i | \(-0.339294\pi\) | ||||
0.483696 | + | 0.875236i | \(0.339294\pi\) | |||||||
\(684\) | −8750.23 | + | 9773.54i | −0.489142 | + | 0.546346i | ||||
\(685\) | −971.332 | −0.0541791 | ||||||||
\(686\) | 1945.28 | − | 11032.2i | 0.108267 | − | 0.614011i | ||||
\(687\) | 30952.2 | + | 25972.0i | 1.71893 | + | 1.44235i | ||||
\(688\) | −4553.72 | − | 1657.42i | −0.252339 | − | 0.0918438i | ||||
\(689\) | 3313.31 | − | 1205.95i | 0.183203 | − | 0.0666806i | ||||
\(690\) | −1821.18 | + | 1528.15i | −0.100480 | + | 0.0843126i | ||||
\(691\) | −4688.80 | − | 8121.25i | −0.258134 | − | 0.447101i | 0.707608 | − | 0.706605i | \(-0.249774\pi\) |
−0.965742 | + | 0.259504i | \(0.916441\pi\) | |||||||
\(692\) | 949.416 | − | 1644.44i | 0.0521552 | − | 0.0903354i | ||||
\(693\) | 2014.28 | + | 11423.5i | 0.110413 | + | 0.626182i | ||||
\(694\) | −3748.21 | − | 21257.2i | −0.205015 | − | 1.16270i | ||||
\(695\) | 553.324 | − | 958.385i | 0.0301997 | − | 0.0523073i | ||||
\(696\) | 3535.26 | + | 6123.25i | 0.192534 | + | 0.333479i | ||||
\(697\) | −16383.3 | + | 13747.2i | −0.890334 | + | 0.747079i | ||||
\(698\) | 19147.1 | − | 6968.98i | 1.03829 | − | 0.377908i | ||||
\(699\) | 31199.9 | + | 11355.8i | 1.68825 | + | 0.614473i | ||||
\(700\) | −3561.71 | − | 2988.63i | −0.192314 | − | 0.161371i | ||||
\(701\) | −2195.64 | + | 12452.1i | −0.118300 | + | 0.670913i | 0.866763 | + | 0.498720i | \(0.166196\pi\) |
−0.985063 | + | 0.172193i | \(0.944915\pi\) | |||||||
\(702\) | −14498.4 | −0.779497 | ||||||||
\(703\) | 25009.7 | + | 15529.6i | 1.34176 | + | 0.833160i | ||||
\(704\) | 2002.80 | 0.107221 | ||||||||
\(705\) | −457.822 | + | 2596.44i | −0.0244576 | + | 0.138706i | ||||
\(706\) | 10269.7 | + | 8617.29i | 0.547457 | + | 0.459371i | ||||
\(707\) | −13518.4 | − | 4920.30i | −0.719113 | − | 0.261736i | ||||
\(708\) | 5142.62 | − | 1871.76i | 0.272982 | − | 0.0993575i | ||||
\(709\) | 4587.95 | − | 3849.75i | 0.243024 | − | 0.203922i | −0.513137 | − | 0.858307i | \(-0.671517\pi\) |
0.756162 | + | 0.654385i | \(0.227072\pi\) | |||||||
\(710\) | 358.039 | + | 620.141i | 0.0189253 | + | 0.0327796i | ||||
\(711\) | −13867.5 | + | 24019.3i | −0.731467 | + | 1.26694i | ||||
\(712\) | 1197.35 | + | 6790.48i | 0.0630230 | + | 0.357421i | ||||
\(713\) | −1509.27 | − | 8559.48i | −0.0792742 | − | 0.449587i | ||||
\(714\) | 7538.29 | − | 13056.7i | 0.395117 | − | 0.684362i | ||||
\(715\) | 1000.98 | + | 1733.74i | 0.0523559 | + | 0.0906830i | ||||
\(716\) | 7028.03 | − | 5897.22i | 0.366829 | − | 0.307806i | ||||
\(717\) | 34898.4 | − | 12702.0i | 1.81772 | − | 0.661595i | ||||
\(718\) | −6988.91 | − | 2543.76i | −0.363264 | − | 0.132217i | ||||
\(719\) | 404.990 | + | 339.827i | 0.0210064 | + | 0.0176264i | 0.653230 | − | 0.757159i | \(-0.273413\pi\) |
−0.632224 | + | 0.774786i | \(0.717858\pi\) | |||||||
\(720\) | −99.8290 | + | 566.159i | −0.00516723 | + | 0.0293048i | ||||
\(721\) | −8770.82 | −0.453041 | ||||||||
\(722\) | −13165.0 | + | 3855.69i | −0.678602 | + | 0.198745i | ||||
\(723\) | −59082.4 | −3.03914 | ||||||||
\(724\) | −36.9652 | + | 209.640i | −0.00189751 | + | 0.0107613i | ||||
\(725\) | −10302.0 | − | 8644.40i | −0.527733 | − | 0.442821i | ||||
\(726\) | −5394.09 | − | 1963.29i | −0.275748 | − | 0.100364i | ||||
\(727\) | 27232.8 | − | 9911.94i | 1.38928 | − | 0.505658i | 0.464305 | − | 0.885675i | \(-0.346304\pi\) |
0.924980 | + | 0.380017i | \(0.124082\pi\) | |||||||
\(728\) | −4044.49 | + | 3393.73i | −0.205905 | + | 0.172775i | ||||
\(729\) | 15883.3 | + | 27510.7i | 0.806956 | + | 1.39769i | ||||
\(730\) | −577.580 | + | 1000.40i | −0.0292838 | + | 0.0507211i | ||||
\(731\) | 5189.97 | + | 29433.8i | 0.262596 | + | 1.48926i | ||||
\(732\) | 4532.47 | + | 25704.9i | 0.228859 | + | 1.29792i | ||||
\(733\) | −16965.9 | + | 29385.7i | −0.854909 | + | 1.48075i | 0.0218196 | + | 0.999762i | \(0.493054\pi\) |
−0.876729 | + | 0.480985i | \(0.840279\pi\) | |||||||
\(734\) | 6497.99 | + | 11254.8i | 0.326765 | + | 0.565973i | ||||
\(735\) | 1448.62 | − | 1215.54i | 0.0726981 | − | 0.0610009i | ||||
\(736\) | −4827.13 | + | 1756.93i | −0.241753 | + | 0.0879910i | ||||
\(737\) | −11819.7 | − | 4302.01i | −0.590751 | − | 0.215016i | ||||
\(738\) | 13148.7 | + | 11033.1i | 0.655842 | + | 0.550317i | ||||
\(739\) | 2114.98 | − | 11994.6i | 0.105278 | − | 0.597063i | −0.885830 | − | 0.464009i | \(-0.846410\pi\) |
0.991109 | − | 0.133054i | \(-0.0424784\pi\) | |||||||
\(740\) | 1290.13 | 0.0640894 | ||||||||
\(741\) | −40482.3 | − | 25137.3i | −2.00695 | − | 1.24621i | ||||
\(742\) | 936.260 | 0.0463223 | ||||||||
\(743\) | −856.073 | + | 4855.03i | −0.0422695 | + | 0.239722i | −0.998621 | − | 0.0524960i | \(-0.983282\pi\) |
0.956352 | + | 0.292218i | \(0.0943934\pi\) | |||||||
\(744\) | −2707.83 | − | 2272.14i | −0.133433 | − | 0.111963i | ||||
\(745\) | 2174.36 | + | 791.404i | 0.106930 | + | 0.0389192i | ||||
\(746\) | −24085.7 | + | 8766.47i | −1.18209 | + | 0.430246i | ||||
\(747\) | 7778.61 | − | 6527.03i | 0.380997 | − | 0.319694i | ||||
\(748\) | −6176.22 | − | 10697.5i | −0.301905 | − | 0.522914i | ||||
\(749\) | 9251.14 | − | 16023.4i | 0.451307 | − | 0.781687i | ||||
\(750\) | −640.801 | − | 3634.16i | −0.0311983 | − | 0.176934i | ||||
\(751\) | −4492.87 | − | 25480.3i | −0.218305 | − | 1.23807i | −0.875078 | − | 0.483982i | \(-0.839190\pi\) |
0.656773 | − | 0.754088i | \(-0.271921\pi\) | |||||||
\(752\) | −2848.40 | + | 4933.58i | −0.138126 | + | 0.239241i | ||||
\(753\) | 23049.2 | + | 39922.4i | 1.11549 | + | 1.93208i | ||||
\(754\) | −11698.4 | + | 9816.12i | −0.565027 | + | 0.474114i | ||||
\(755\) | −17.1804 | + | 6.25317i | −0.000828159 | + | 0.000301425i | ||||
\(756\) | −3617.64 | − | 1316.71i | −0.174038 | − | 0.0633445i | ||||
\(757\) | −9992.95 | − | 8385.08i | −0.479789 | − | 0.402590i | 0.370561 | − | 0.928808i | \(-0.379165\pi\) |
−0.850350 | + | 0.526218i | \(0.823610\pi\) | |||||||
\(758\) | 1967.36 | − | 11157.5i | 0.0942715 | − | 0.534640i | ||||
\(759\) | −40996.5 | −1.96058 | ||||||||
\(760\) | −401.000 | + | 447.896i | −0.0191392 | + | 0.0213775i | ||||
\(761\) | 5883.48 | 0.280258 | 0.140129 | − | 0.990133i | \(-0.455248\pi\) | ||||
0.140129 | + | 0.990133i | \(0.455248\pi\) | |||||||
\(762\) | −1912.77 | + | 10847.8i | −0.0909347 | + | 0.515716i | ||||
\(763\) | −2776.95 | − | 2330.14i | −0.131759 | − | 0.110559i | ||||
\(764\) | 13812.1 | + | 5027.19i | 0.654063 | + | 0.238059i | ||||
\(765\) | 3331.86 | − | 1212.70i | 0.157469 | − | 0.0573139i | ||||
\(766\) | 8692.00 | − | 7293.45i | 0.409993 | − | 0.344025i | ||||
\(767\) | 5910.03 | + | 10236.5i | 0.278225 | + | 0.481900i | ||||
\(768\) | −1044.59 | + | 1809.28i | −0.0490798 | + | 0.0850086i | ||||
\(769\) | −3545.32 | − | 20106.5i | −0.166252 | − | 0.942860i | −0.947764 | − | 0.318971i | \(-0.896663\pi\) |
0.781513 | − | 0.623889i | \(-0.214448\pi\) | |||||||
\(770\) | 92.3091 | + | 523.511i | 0.00432025 | + | 0.0245013i | ||||
\(771\) | 23951.2 | − | 41484.7i | 1.11878 | − | 1.93779i | ||||
\(772\) | 3196.74 | + | 5536.92i | 0.149033 | + | 0.258132i | ||||
\(773\) | 26396.7 | − | 22149.5i | 1.22823 | − | 1.03061i | 0.229880 | − | 0.973219i | \(-0.426166\pi\) |
0.998352 | − | 0.0573904i | \(-0.0182780\pi\) | |||||||
\(774\) | 22540.4 | − | 8204.05i | 1.04677 | − | 0.380993i | ||||
\(775\) | 6317.84 | + | 2299.51i | 0.292830 | + | 0.106582i | ||||
\(776\) | −5423.31 | − | 4550.70i | −0.250883 | − | 0.210516i | ||||
\(777\) | −4715.22 | + | 26741.3i | −0.217706 | + | 1.23467i | ||||
\(778\) | −1100.20 | −0.0506993 | ||||||||
\(779\) | 5594.84 | + | 17054.9i | 0.257325 | + | 0.784412i | ||||
\(780\) | −2088.29 | −0.0958624 | ||||||||
\(781\) | −2144.26 | + | 12160.7i | −0.0982429 | + | 0.557163i | ||||
\(782\) | 24270.1 | + | 20365.0i | 1.10984 | + | 0.931267i | ||||
\(783\) | −10463.8 | − | 3808.50i | −0.477580 | − | 0.173825i | ||||
\(784\) | 3839.64 | − | 1397.51i | 0.174911 | − | 0.0636623i | ||||
\(785\) | 594.661 | − | 498.980i | 0.0270374 | − | 0.0226871i | ||||
\(786\) | −5217.42 | − | 9036.83i | −0.236767 | − | 0.410093i | ||||
\(787\) | −8763.39 | + | 15178.6i | −0.396926 | + | 0.687496i | −0.993345 | − | 0.115177i | \(-0.963256\pi\) |
0.596419 | + | 0.802673i | \(0.296590\pi\) | |||||||
\(788\) | −138.603 | − | 786.059i | −0.00626591 | − | 0.0355358i | ||||
\(789\) | 5548.22 | + | 31465.5i | 0.250345 | + | 1.41978i | ||||
\(790\) | −635.513 | + | 1100.74i | −0.0286209 | + | 0.0495729i | ||||
\(791\) | 5565.61 | + | 9639.92i | 0.250177 | + | 0.433320i | ||||
\(792\) | −7594.31 | + | 6372.38i | −0.340722 | + | 0.285900i | ||||
\(793\) | −52975.0 | + | 19281.3i | −2.37225 | + | 0.863430i | ||||
\(794\) | 3861.82 | + | 1405.59i | 0.172608 | + | 0.0628242i | ||||
\(795\) | 283.681 | + | 238.037i | 0.0126555 | + | 0.0106192i | ||||
\(796\) | −1037.44 | + | 5883.62i | −0.0461948 | + | 0.261984i | ||||
\(797\) | 2210.42 | 0.0982398 | 0.0491199 | − | 0.998793i | \(-0.484358\pi\) | ||||
0.0491199 | + | 0.998793i | \(0.484358\pi\) | |||||||
\(798\) | −7818.23 | − | 9948.77i | −0.346820 | − | 0.441332i | ||||
\(799\) | 35135.4 | 1.55570 | ||||||||
\(800\) | 690.018 | − | 3913.29i | 0.0304948 | − | 0.172944i | ||||
\(801\) | −26145.6 | − | 21938.8i | −1.15332 | − | 0.967751i | ||||
\(802\) | 20461.7 | + | 7447.45i | 0.900908 | + | 0.327904i | ||||
\(803\) | −18718.7 | + | 6813.05i | −0.822626 | + | 0.299411i | ||||
\(804\) | 10051.0 | − | 8433.79i | 0.440885 | − | 0.369946i | ||||
\(805\) | −681.725 | − | 1180.78i | −0.0298480 | − | 0.0516982i | ||||
\(806\) | 3817.31 | − | 6611.78i | 0.166823 | − | 0.288945i | ||||
\(807\) | −114.509 | − | 649.411i | −0.00499491 | − | 0.0283276i | ||||
\(808\) | −2134.99 | − | 12108.1i | −0.0929563 | − | 0.527181i | ||||
\(809\) | −1557.07 | + | 2696.93i | −0.0676684 | + | 0.117205i | −0.897875 | − | 0.440251i | \(-0.854889\pi\) |
0.830206 | + | 0.557456i | \(0.188223\pi\) | |||||||
\(810\) | 208.771 | + | 361.601i | 0.00905611 | + | 0.0156856i | ||||
\(811\) | −15890.9 | + | 13334.1i | −0.688047 | + | 0.577340i | −0.918345 | − | 0.395780i | \(-0.870474\pi\) |
0.230298 | + | 0.973120i | \(0.426030\pi\) | |||||||
\(812\) | −3810.46 | + | 1386.90i | −0.164681 | + | 0.0599390i | ||||
\(813\) | 58317.7 | + | 21225.9i | 2.51573 | + | 0.915652i | ||||
\(814\) | 17042.6 | + | 14300.4i | 0.733835 | + | 0.615761i | ||||
\(815\) | −278.339 | + | 1578.54i | −0.0119629 | + | 0.0678451i | ||||
\(816\) | 12885.1 | 0.552781 | ||||||||
\(817\) | 24550.2 | + | 5145.80i | 1.05129 | + | 0.220354i | ||||
\(818\) | 9346.24 | 0.399491 | ||||||||
\(819\) | 4538.11 | − | 25736.9i | 0.193620 | − | 1.09807i | ||||
\(820\) | 602.572 | + | 505.618i | 0.0256619 | + | 0.0215329i | ||||
\(821\) | 3930.83 | + | 1430.70i | 0.167097 | + | 0.0608184i | 0.424214 | − | 0.905562i | \(-0.360550\pi\) |
−0.257117 | + | 0.966380i | \(0.582773\pi\) | |||||||
\(822\) | 16418.6 | − | 5975.89i | 0.696674 | − | 0.253568i | ||||
\(823\) | −29933.5 | + | 25117.2i | −1.26782 | + | 1.06383i | −0.273017 | + | 0.962009i | \(0.588022\pi\) |
−0.994803 | + | 0.101818i | \(0.967534\pi\) | |||||||
\(824\) | −3747.96 | − | 6491.66i | −0.158455 | − | 0.274451i | ||||
\(825\) | 15856.3 | − | 27464.0i | 0.669148 | − | 1.15900i | ||||
\(826\) | 545.016 | + | 3090.94i | 0.0229583 | + | 0.130203i | ||||
\(827\) | −2963.90 | − | 16809.1i | −0.124625 | − | 0.706783i | −0.981530 | − | 0.191309i | \(-0.938727\pi\) |
0.856905 | − | 0.515474i | \(-0.172384\pi\) | |||||||
\(828\) | 12713.6 | − | 22020.6i | 0.533609 | − | 0.924239i | ||||
\(829\) | −14578.9 | − | 25251.4i | −0.610791 | − | 1.05792i | −0.991107 | − | 0.133064i | \(-0.957518\pi\) |
0.380317 | − | 0.924856i | \(-0.375815\pi\) | |||||||
\(830\) | 356.474 | − | 299.117i | 0.0149077 | − | 0.0125090i | ||||
\(831\) | 16150.5 | − | 5878.31i | 0.674194 | − | 0.245386i | ||||
\(832\) | −4240.14 | − | 1543.29i | −0.176683 | − | 0.0643075i | ||||
\(833\) | −19305.1 | − | 16198.9i | −0.802980 | − | 0.673781i | ||||
\(834\) | −3456.71 | + | 19604.0i | −0.143520 | + | 0.813945i | ||||
\(835\) | −725.718 | −0.0300773 | ||||||||
\(836\) | −10261.9 | + | 1471.81i | −0.424540 | + | 0.0608896i | ||||
\(837\) | 5566.96 | 0.229895 | ||||||||
\(838\) | 1202.08 | − | 6817.35i | 0.0495528 | − | 0.281028i | ||||
\(839\) | −32290.8 | − | 27095.2i | −1.32873 | − | 1.11493i | −0.984373 | − | 0.176094i | \(-0.943654\pi\) |
−0.344353 | − | 0.938840i | \(-0.611902\pi\) | |||||||
\(840\) | −521.070 | − | 189.654i | −0.0214031 | − | 0.00779009i | ||||
\(841\) | 11896.7 | − | 4330.03i | 0.487788 | − | 0.177540i | ||||
\(842\) | 375.482 | − | 315.067i | 0.0153681 | − | 0.0128954i | ||||
\(843\) | −7050.35 | − | 12211.6i | −0.288051 | − | 0.498919i | ||||
\(844\) | −8710.32 | + | 15086.7i | −0.355239 | + | 0.615291i | ||||
\(845\) | −437.051 | − | 2478.64i | −0.0177929 | − | 0.100909i | ||||
\(846\) | −4896.63 | − | 27770.2i | −0.198995 | − | 1.12856i | ||||
\(847\) | 1646.05 | − | 2851.04i | 0.0667755 | − | 0.115659i | ||||
\(848\) | 400.085 | + | 692.967i | 0.0162016 | + | 0.0280620i | ||||
\(849\) | −8147.03 | + | 6836.17i | −0.329335 | + | 0.276345i | ||||
\(850\) | −23029.8 | + | 8382.15i | −0.929311 | + | 0.338242i | ||||
\(851\) | −53620.6 | − | 19516.3i | −2.15992 | − | 0.786146i | ||||
\(852\) | −9867.27 | − | 8279.63i | −0.396769 | − | 0.332929i | ||||
\(853\) | 1415.01 | − | 8024.91i | 0.0567983 | − | 0.322119i | −0.943149 | − | 0.332370i | \(-0.892152\pi\) |
0.999947 | + | 0.0102506i | \(0.00326291\pi\) | |||||||
\(854\) | −14969.4 | −0.599816 | ||||||||
\(855\) | 95.4442 | − | 2974.22i | 0.00381769 | − | 0.118966i | ||||
\(856\) | 15812.9 | 0.631393 | ||||||||
\(857\) | 102.122 | − | 579.164i | 0.00407051 | − | 0.0230850i | −0.982705 | − | 0.185179i | \(-0.940714\pi\) |
0.986775 | + | 0.162094i | \(0.0518247\pi\) | |||||||
\(858\) | −27586.2 | − | 23147.6i | −1.09764 | − | 0.921031i | ||||
\(859\) | −13842.3 | − | 5038.19i | −0.549818 | − | 0.200117i | 0.0521479 | − | 0.998639i | \(-0.483393\pi\) |
−0.601965 | + | 0.798522i | \(0.705616\pi\) | |||||||
\(860\) | 1032.97 | − | 375.970i | 0.0409581 | − | 0.0149075i | ||||
\(861\) | −12682.6 | + | 10641.9i | −0.501999 | + | 0.421227i | ||||
\(862\) | 839.901 | + | 1454.75i | 0.0331870 | + | 0.0574815i | ||||
\(863\) | −712.790 | + | 1234.59i | −0.0281155 | + | 0.0486974i | −0.879741 | − | 0.475454i | \(-0.842284\pi\) |
0.851625 | + | 0.524151i | \(0.175617\pi\) | |||||||
\(864\) | −571.341 | − | 3240.24i | −0.0224970 | − | 0.127587i | ||||
\(865\) | 74.7959 | + | 424.188i | 0.00294004 | + | 0.0166738i | ||||
\(866\) | −4627.89 | + | 8015.74i | −0.181596 | + | 0.314533i | ||||
\(867\) | −19687.8 | − | 34100.3i | −0.771202 | − | 1.33576i | ||||
\(868\) | 1552.96 | − | 1303.09i | 0.0607270 | − | 0.0509560i | ||||
\(869\) | −20596.2 | + | 7496.42i | −0.804005 | + | 0.292634i | ||||
\(870\) | −1507.16 | − | 548.560i | −0.0587326 | − | 0.0213769i | ||||
\(871\) | 21708.5 | + | 18215.6i | 0.844506 | + | 0.708624i | ||||
\(872\) | 537.984 | − | 3051.06i | 0.0208927 | − | 0.118488i | ||||
\(873\) | 35043.4 | 1.35858 | ||||||||
\(874\) | 23441.9 | − | 12549.4i | 0.907249 | − | 0.485688i | ||||
\(875\) | 2116.38 | 0.0817675 | ||||||||
\(876\) | 3608.24 | − | 20463.4i | 0.139168 | − | 0.789262i | ||||
\(877\) | 33119.8 | + | 27790.8i | 1.27523 | + | 1.07005i | 0.993883 | + | 0.110440i | \(0.0352259\pi\) |
0.281348 | + | 0.959606i | \(0.409219\pi\) | |||||||
\(878\) | 17046.2 | + | 6204.31i | 0.655218 | + | 0.238480i | ||||
\(879\) | −9513.11 | + | 3462.49i | −0.365039 | + | 0.132863i | ||||
\(880\) | −348.028 | + | 292.030i | −0.0133318 | + | 0.0111867i | ||||
\(881\) | −8152.25 | − | 14120.1i | −0.311755 | − | 0.539976i | 0.666987 | − | 0.745069i | \(-0.267584\pi\) |
−0.978742 | + | 0.205093i | \(0.934250\pi\) | |||||||
\(882\) | −10112.8 | + | 17515.8i | −0.386071 | + | 0.668695i | ||||
\(883\) | 7461.29 | + | 42315.1i | 0.284363 | + | 1.61270i | 0.707552 | + | 0.706661i | \(0.249799\pi\) |
−0.423190 | + | 0.906041i | \(0.639090\pi\) | |||||||
\(884\) | 4832.58 | + | 27406.9i | 0.183866 | + | 1.04275i | ||||
\(885\) | −620.711 | + | 1075.10i | −0.0235763 | + | 0.0408353i | ||||
\(886\) | −17102.5 | − | 29622.4i | −0.648499 | − | 1.12323i | ||||
\(887\) | 27761.3 | − | 23294.5i | 1.05088 | − | 0.881794i | 0.0576954 | − | 0.998334i | \(-0.481625\pi\) |
0.993186 | + | 0.116540i | \(0.0371803\pi\) | |||||||
\(888\) | −21807.3 | + | 7937.22i | −0.824106 | + | 0.299950i | ||||
\(889\) | −5936.33 | − | 2160.65i | −0.223957 | − | 0.0815138i | ||||
\(890\) | −1198.19 | − | 1005.40i | −0.0451273 | − | 0.0378663i | ||||
\(891\) | −1250.31 | + | 7090.85i | −0.0470111 | + | 0.266613i | ||||
\(892\) | 8110.70 | 0.304447 | ||||||||
\(893\) | 10969.0 | − | 27371.7i | 0.411044 | − | 1.02571i | ||||
\(894\) | −41622.6 | −1.55712 | ||||||||
\(895\) | −361.386 | + | 2049.52i | −0.0134970 | + | 0.0765452i | ||||
\(896\) | −917.843 | − | 770.162i | −0.0342221 | − | 0.0287157i | ||||
\(897\) | 86793.7 | + | 31590.3i | 3.23072 | + | 1.17589i | ||||
\(898\) | −13038.6 | + | 4745.67i | −0.484527 | + | 0.176353i | ||||
\(899\) | 4491.84 | − | 3769.10i | 0.166642 | − | 0.139829i | ||||
\(900\) | 9834.58 | + | 17034.0i | 0.364244 | + | 0.630889i | ||||
\(901\) | 2467.55 | − | 4273.92i | 0.0912385 | − | 0.158030i | ||||
\(902\) | 2355.45 | + | 13358.4i | 0.0869488 | + | 0.493111i | ||||
\(903\) | 4017.63 | + | 22785.1i | 0.148060 | + | 0.839691i | ||||
\(904\) | −4756.62 | + | 8238.70i | −0.175003 | + | 0.303114i | ||||
\(905\) | −24.1442 | − | 41.8191i | −0.000886831 | − | 0.00153604i | ||||
\(906\) | 251.933 | − | 211.397i | 0.00923832 | − | 0.00775188i | ||||
\(907\) | −23389.4 | + | 8513.04i | −0.856265 | + | 0.311655i | −0.732592 | − | 0.680668i | \(-0.761690\pi\) |
−0.123673 | + | 0.992323i | \(0.539467\pi\) | |||||||
\(908\) | 19288.9 | + | 7020.59i | 0.704984 | + | 0.256593i | ||||
\(909\) | 46620.3 | + | 39119.1i | 1.70110 | + | 1.42739i | ||||
\(910\) | 207.970 | − | 1179.46i | 0.00757598 | − | 0.0429655i | ||||
\(911\) | −2237.93 | −0.0813897 | −0.0406949 | − | 0.999172i | \(-0.512957\pi\) | ||||
−0.0406949 | + | 0.999172i | \(0.512957\pi\) | |||||||
\(912\) | 4022.62 | − | 10037.9i | 0.146055 | − | 0.364462i | ||||
\(913\) | 8024.56 | 0.290881 | ||||||||
\(914\) | −4571.25 | + | 25924.8i | −0.165431 | + | 0.938203i | ||||
\(915\) | −4535.65 | − | 3805.86i | −0.163873 | − | 0.137506i | ||||
\(916\) | −18610.1 | − | 6773.54i | −0.671284 | − | 0.244328i | ||||
\(917\) | 5623.57 | − | 2046.81i | 0.202515 | − | 0.0737095i | ||||
\(918\) | −15545.1 | + | 13043.9i | −0.558893 | + | 0.468967i | ||||
\(919\) | −14326.7 | − | 24814.6i | −0.514249 | − | 0.890705i | −0.999863 | − | 0.0165317i | \(-0.994738\pi\) |
0.485615 | − | 0.874173i | \(-0.338596\pi\) | |||||||
\(920\) | 582.632 | − | 1009.15i | 0.0208791 | − | 0.0361637i | ||||
\(921\) | −6153.74 | − | 34899.6i | −0.220166 | − | 1.24862i | ||||
\(922\) | 1846.68 | + | 10473.1i | 0.0659623 | + | 0.374091i | ||||
\(923\) | 13910.2 | − | 24093.2i | 0.496057 | − | 0.859195i | ||||
\(924\) | −4781.10 | − | 8281.11i | −0.170224 | − | 0.294836i | ||||
\(925\) | 33813.2 | − | 28372.7i | 1.20192 | − | 1.00853i | ||||
\(926\) | −8489.69 | + | 3090.00i | −0.301284 | + | 0.109658i | ||||
\(927\) | 34866.4 | + | 12690.3i | 1.23534 | + | 0.449628i | ||||
\(928\) | −2654.80 | − | 2227.64i | −0.0939095 | − | 0.0787994i | ||||
\(929\) | −7253.00 | + | 41133.8i | −0.256150 | + | 1.45270i | 0.536954 | + | 0.843612i | \(0.319575\pi\) |
−0.793104 | + | 0.609087i | \(0.791536\pi\) | |||||||
\(930\) | 801.841 | 0.0282725 | ||||||||
\(931\) | −18646.4 | + | 9982.19i | −0.656403 | + | 0.351400i | ||||
\(932\) | −16273.9 | −0.571964 | ||||||||
\(933\) | −6479.73 | + | 36748.4i | −0.227371 | + | 1.28948i | ||||
\(934\) | −5659.28 | − | 4748.70i | −0.198263 | − | 0.166362i | ||||
\(935\) | 2633.05 | + | 958.352i | 0.0920962 | + | 0.0335203i | ||||
\(936\) | 20988.3 | − | 7639.10i | 0.732930 | − | 0.266765i | ||||
\(937\) | 2495.22 | − | 2093.73i | 0.0869959 | − | 0.0729982i | −0.598253 | − | 0.801308i | \(-0.704138\pi\) |
0.685248 | + | 0.728309i | \(0.259694\pi\) | |||||||
\(938\) | 3762.41 | + | 6516.68i | 0.130967 | + | 0.226841i | ||||
\(939\) | −16591.6 | + | 28737.5i | −0.576620 | + | 0.998736i | ||||
\(940\) | −224.400 | − | 1272.64i | −0.00778630 | − | 0.0441583i | ||||
\(941\) | 7370.66 | + | 41801.1i | 0.255342 | + | 1.44811i | 0.795194 | + | 0.606355i | \(0.207369\pi\) |
−0.539852 | + | 0.841760i | \(0.681520\pi\) | |||||||
\(942\) | −6981.83 | + | 12092.9i | −0.241486 | + | 0.418267i | ||||
\(943\) | −17395.5 | − | 30129.9i | −0.600717 | − | 1.04047i | ||||
\(944\) | −2054.84 | + | 1724.22i | −0.0708468 | + | 0.0594476i | ||||
\(945\) | 820.628 | − | 298.684i | 0.0282487 | − | 0.0102817i | ||||
\(946\) | 17812.9 | + | 6483.37i | 0.612207 | + | 0.222825i | ||||
\(947\) | 29626.0 | + | 24859.2i | 1.01660 | + | 0.853025i | 0.989196 | − | 0.146599i | \(-0.0468328\pi\) |
0.0273999 | + | 0.999625i | \(0.491277\pi\) | |||||||
\(948\) | 3970.16 | − | 22515.9i | 0.136018 | − | 0.771395i | ||||
\(949\) | 44879.3 | 1.53514 | ||||||||
\(950\) | −659.710 | + | 20557.8i | −0.0225303 | + | 0.702088i | ||||
\(951\) | −15115.8 | −0.515421 | ||||||||
\(952\) | −1283.21 | + | 7277.46i | −0.0436861 | + | 0.247756i | ||||
\(953\) | −27125.3 | − | 22760.8i | −0.922008 | − | 0.773656i | 0.0523576 | − | 0.998628i | \(-0.483326\pi\) |
−0.974365 | + | 0.224972i | \(0.927771\pi\) | |||||||
\(954\) | −3721.89 | − | 1354.66i | −0.126311 | − | 0.0459734i | ||||
\(955\) | −3133.15 | + | 1140.37i | −0.106164 | + | 0.0386404i | ||||
\(956\) | −13944.4 | + | 11700.7i | −0.471750 | + | 0.395845i | ||||
\(957\) | −13829.0 | − | 23952.5i | −0.467114 | − | 0.809064i | ||||
\(958\) | 9580.50 | − | 16593.9i | 0.323102 | − | 0.559630i | ||||
\(959\) | 1740.05 | + | 9868.32i | 0.0585914 | + | 0.332288i | ||||
\(960\) | −82.2935 | − | 466.710i | −0.00276668 | − | 0.0156906i | ||||
\(961\) | 13429.8 | − | 23261.0i | 0.450799 | − | 0.780807i | ||||
\(962\) | −25061.5 | − | 43407.8i | −0.839933 | − | 1.45481i | ||||
\(963\) | −59959.8 | + | 50312.2i | −2.00641 | + | 1.68358i | ||||
\(964\) | 27212.6 | − | 9904.57i | 0.909189 | − | 0.330918i | ||||
\(965\) | −1362.84 | − | 496.032i | −0.0454625 | − | 0.0165470i | ||||
\(966\) | 18787.8 | + | 15764.8i | 0.625764 | + | 0.525078i | ||||
\(967\) | 2863.39 | − | 16239.1i | 0.0952228 | − | 0.540035i | −0.899456 | − | 0.437011i | \(-0.856037\pi\) |
0.994679 | − | 0.103024i | \(-0.0328519\pi\) | |||||||
\(968\) | 2813.57 | 0.0934211 | ||||||||
\(969\) | −66020.2 | + | 9468.95i | −2.18873 | + | 0.313918i | ||||
\(970\) | 1605.95 | 0.0531586 | ||||||||
\(971\) | 6602.86 | − | 37446.7i | 0.218224 | − | 1.23761i | −0.656999 | − | 0.753892i | \(-0.728174\pi\) |
0.875223 | − | 0.483720i | \(-0.160715\pi\) | |||||||
\(972\) | −14260.1 | − | 11965.6i | −0.470569 | − | 0.394854i | ||||
\(973\) | −10728.0 | − | 3904.67i | −0.353468 | − | 0.128652i | ||||
\(974\) | 32717.0 | − | 11908.0i | 1.07631 | − | 0.391743i | ||||
\(975\) | −54732.2 | + | 45925.8i | −1.79778 | + | 1.50852i | ||||
\(976\) | −6396.76 | − | 11079.5i | −0.209790 | − | 0.363368i | ||||
\(977\) | 12196.8 | − | 21125.5i | 0.399396 | − | 0.691775i | −0.594255 | − | 0.804277i | \(-0.702553\pi\) |
0.993652 | + | 0.112502i | \(0.0358864\pi\) | |||||||
\(978\) | −5006.76 | − | 28394.8i | −0.163700 | − | 0.928389i | ||||
\(979\) | −4683.69 | − | 26562.5i | −0.152902 | − | 0.867152i | ||||
\(980\) | −463.442 | + | 802.706i | −0.0151062 | + | 0.0261648i | ||||
\(981\) | 7667.69 | + | 13280.8i | 0.249552 | + | 0.432237i | ||||
\(982\) | −1670.59 | + | 1401.79i | −0.0542879 | + | 0.0455529i | ||||
\(983\) | 14007.1 | − | 5098.17i | 0.454484 | − | 0.165419i | −0.104627 | − | 0.994512i | \(-0.533365\pi\) |
0.559111 | + | 0.829093i | \(0.311143\pi\) | |||||||
\(984\) | −13296.1 | − | 4839.39i | −0.430756 | − | 0.156783i | ||||
\(985\) | 138.701 | + | 116.384i | 0.00448667 | + | 0.00376476i | ||||
\(986\) | −3711.60 | + | 21049.5i | −0.119880 | + | 0.679872i | ||||
\(987\) | 27198.8 | 0.877152 | ||||||||
\(988\) | 22859.6 | + | 4791.45i | 0.736094 | + | 0.154288i | ||||
\(989\) | −48619.9 | −1.56322 | ||||||||
\(990\) | 390.504 | − | 2214.66i | 0.0125364 | − | 0.0710975i | ||||
\(991\) | 41060.1 | + | 34453.5i | 1.31616 | + | 1.10439i | 0.987104 | + | 0.160081i | \(0.0511754\pi\) |
0.329057 | + | 0.944310i | \(0.393269\pi\) | |||||||
\(992\) | 1628.09 | + | 592.577i | 0.0521088 | + | 0.0189661i | ||||
\(993\) | −51445.3 | + | 18724.6i | −1.64408 | + | 0.598395i | ||||
\(994\) | 5658.97 | − | 4748.44i | 0.180575 | − | 0.151521i | ||||
\(995\) | −677.616 | − | 1173.67i | −0.0215898 | − | 0.0373947i | ||||
\(996\) | −4185.30 | + | 7249.16i | −0.133149 | + | 0.230621i | ||||
\(997\) | 8236.95 | + | 46714.1i | 0.261652 | + | 1.48390i | 0.778402 | + | 0.627766i | \(0.216030\pi\) |
−0.516751 | + | 0.856136i | \(0.672859\pi\) | |||||||
\(998\) | 2815.21 | + | 15965.8i | 0.0892924 | + | 0.506403i | ||||
\(999\) | 18274.2 | − | 31651.8i | 0.578748 | − | 1.00242i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.4.e.b.17.3 | yes | 18 | |
19.3 | odd | 18 | 722.4.a.u.1.1 | 9 | |||
19.9 | even | 9 | inner | 38.4.e.b.9.3 | ✓ | 18 | |
19.16 | even | 9 | 722.4.a.t.1.9 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.9.3 | ✓ | 18 | 19.9 | even | 9 | inner | |
38.4.e.b.17.3 | yes | 18 | 1.1 | even | 1 | trivial | |
722.4.a.t.1.9 | 9 | 19.16 | even | 9 | |||
722.4.a.u.1.1 | 9 | 19.3 | odd | 18 |