Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 23.3 |
Dual form | 23.4.c.a.8.5 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.619909 | + | 4.31156i | 0.219171 | + | 1.52437i | 0.741110 | + | 0.671384i | \(0.234300\pi\) |
−0.521939 | + | 0.852983i | \(0.674791\pi\) | |||||||
\(3\) | −0.504759 | + | 1.10527i | −0.0971409 | + | 0.212709i | −0.951964 | − | 0.306211i | \(-0.900939\pi\) |
0.854823 | + | 0.518920i | \(0.173666\pi\) | |||||||
\(4\) | −10.5293 | + | 3.09169i | −1.31616 | + | 0.386461i | ||||
\(5\) | 4.52322 | − | 5.22007i | 0.404569 | − | 0.466898i | −0.516505 | − | 0.856284i | \(-0.672767\pi\) |
0.921075 | + | 0.389386i | \(0.127313\pi\) | |||||||
\(6\) | −5.07833 | − | 1.49113i | −0.345537 | − | 0.101459i | ||||
\(7\) | 2.36872 | − | 1.52228i | 0.127899 | − | 0.0821955i | −0.475127 | − | 0.879917i | \(-0.657598\pi\) |
0.603026 | + | 0.797722i | \(0.293962\pi\) | |||||||
\(8\) | −5.38116 | − | 11.7831i | −0.237816 | − | 0.520744i | ||||
\(9\) | 16.7144 | + | 19.2894i | 0.619052 | + | 0.714424i | ||||
\(10\) | 25.3106 | + | 16.2662i | 0.800393 | + | 0.514381i | ||||
\(11\) | 8.72141 | − | 60.6587i | 0.239055 | − | 1.66266i | −0.417720 | − | 0.908576i | \(-0.637171\pi\) |
0.656775 | − | 0.754087i | \(-0.271920\pi\) | |||||||
\(12\) | 1.89763 | − | 13.1983i | 0.0456498 | − | 0.317501i | ||||
\(13\) | −8.84456 | − | 5.68405i | −0.188695 | − | 0.121267i | 0.442882 | − | 0.896580i | \(-0.353956\pi\) |
−0.631578 | + | 0.775313i | \(0.717592\pi\) | |||||||
\(14\) | 8.03179 | + | 9.26918i | 0.153328 | + | 0.176950i | ||||
\(15\) | 3.48645 | + | 7.63425i | 0.0600131 | + | 0.131410i | ||||
\(16\) | −26.3865 | + | 16.9576i | −0.412289 | + | 0.264962i | ||||
\(17\) | −99.9611 | − | 29.3512i | −1.42613 | − | 0.418748i | −0.524553 | − | 0.851378i | \(-0.675768\pi\) |
−0.901572 | + | 0.432629i | \(0.857586\pi\) | |||||||
\(18\) | −72.8062 | + | 84.0228i | −0.953366 | + | 1.10024i | ||||
\(19\) | 67.6966 | − | 19.8775i | 0.817404 | − | 0.240011i | 0.153806 | − | 0.988101i | \(-0.450847\pi\) |
0.663598 | + | 0.748090i | \(0.269029\pi\) | |||||||
\(20\) | −31.4876 | + | 68.9482i | −0.352042 | + | 0.770864i | ||||
\(21\) | 0.486898 | + | 3.38645i | 0.00505952 | + | 0.0351897i | ||||
\(22\) | 266.940 | 2.58690 | ||||||||
\(23\) | −109.815 | − | 10.3773i | −0.995565 | − | 0.0940790i | ||||
\(24\) | 15.7397 | 0.133869 | ||||||||
\(25\) | 10.9997 | + | 76.5046i | 0.0879976 | + | 0.612037i | ||||
\(26\) | 19.0243 | − | 41.6574i | 0.143499 | − | 0.314219i | ||||
\(27\) | −61.2348 | + | 17.9802i | −0.436468 | + | 0.128159i | ||||
\(28\) | −20.2345 | + | 23.3519i | −0.136570 | + | 0.157610i | ||||
\(29\) | 118.985 | + | 34.9372i | 0.761896 | + | 0.223713i | 0.639524 | − | 0.768771i | \(-0.279132\pi\) |
0.122372 | + | 0.992484i | \(0.460950\pi\) | |||||||
\(30\) | −30.7542 | + | 19.7646i | −0.187164 | + | 0.120283i | ||||
\(31\) | −60.1328 | − | 131.672i | −0.348392 | − | 0.762873i | −0.999991 | − | 0.00430881i | \(-0.998628\pi\) |
0.651598 | − | 0.758564i | \(-0.274099\pi\) | |||||||
\(32\) | −157.334 | − | 181.573i | −0.869154 | − | 1.00306i | ||||
\(33\) | 62.6419 | + | 40.2575i | 0.330441 | + | 0.212362i | ||||
\(34\) | 64.5828 | − | 449.183i | 0.325761 | − | 2.26571i | ||||
\(35\) | 2.76780 | − | 19.2505i | 0.0133670 | − | 0.0929693i | ||||
\(36\) | −235.628 | − | 151.429i | −1.09087 | − | 0.701060i | ||||
\(37\) | 150.839 | + | 174.078i | 0.670212 | + | 0.773466i | 0.984409 | − | 0.175892i | \(-0.0562809\pi\) |
−0.314198 | + | 0.949358i | \(0.601735\pi\) | |||||||
\(38\) | 127.669 | + | 279.556i | 0.545016 | + | 1.19342i | ||||
\(39\) | 10.7468 | − | 6.90653i | 0.0441246 | − | 0.0283572i | ||||
\(40\) | −85.8488 | − | 25.2075i | −0.339347 | − | 0.0996413i | ||||
\(41\) | −13.1941 | + | 15.2268i | −0.0502579 | + | 0.0580007i | −0.780322 | − | 0.625378i | \(-0.784945\pi\) |
0.730064 | + | 0.683379i | \(0.239490\pi\) | |||||||
\(42\) | −14.2991 | + | 4.19858i | −0.0525331 | + | 0.0154251i | ||||
\(43\) | −92.1425 | + | 201.764i | −0.326781 | + | 0.715551i | −0.999708 | − | 0.0241577i | \(-0.992310\pi\) |
0.672927 | + | 0.739709i | \(0.265037\pi\) | |||||||
\(44\) | 95.7072 | + | 665.658i | 0.327918 | + | 2.28072i | ||||
\(45\) | 176.295 | 0.584012 | ||||||||
\(46\) | −23.3328 | − | 479.906i | −0.0747878 | − | 1.53822i | ||||
\(47\) | 487.718 | 1.51364 | 0.756819 | − | 0.653625i | \(-0.226753\pi\) | ||||
0.756819 | + | 0.653625i | \(0.226753\pi\) | |||||||
\(48\) | −5.42384 | − | 37.7237i | −0.0163097 | − | 0.113436i | ||||
\(49\) | −139.194 | + | 304.792i | −0.405813 | + | 0.888607i | ||||
\(50\) | −323.035 | + | 94.8517i | −0.913682 | + | 0.268281i | ||||
\(51\) | 82.8973 | − | 95.6685i | 0.227607 | − | 0.262672i | ||||
\(52\) | 110.700 | + | 32.5046i | 0.295219 | + | 0.0866841i | ||||
\(53\) | −317.542 | + | 204.072i | −0.822975 | + | 0.528894i | −0.883039 | − | 0.469300i | \(-0.844506\pi\) |
0.0600632 | + | 0.998195i | \(0.480870\pi\) | |||||||
\(54\) | −115.483 | − | 252.871i | −0.291022 | − | 0.637249i | ||||
\(55\) | −277.194 | − | 319.899i | −0.679579 | − | 0.784276i | ||||
\(56\) | −30.6836 | − | 19.7192i | −0.0732191 | − | 0.0470551i | ||||
\(57\) | −12.2005 | + | 84.8563i | −0.0283508 | + | 0.197184i | ||||
\(58\) | −76.8738 | + | 534.669i | −0.174035 | + | 1.21044i | ||||
\(59\) | −561.746 | − | 361.012i | −1.23954 | − | 0.796607i | −0.254195 | − | 0.967153i | \(-0.581811\pi\) |
−0.985350 | + | 0.170546i | \(0.945447\pi\) | |||||||
\(60\) | −60.3126 | − | 69.6044i | −0.129772 | − | 0.149765i | ||||
\(61\) | 31.0305 | + | 67.9473i | 0.0651319 | + | 0.142619i | 0.939399 | − | 0.342827i | \(-0.111384\pi\) |
−0.874267 | + | 0.485446i | \(0.838657\pi\) | |||||||
\(62\) | 530.437 | − | 340.891i | 1.08654 | − | 0.698277i | ||||
\(63\) | 68.9556 | + | 20.2472i | 0.137898 | + | 0.0404906i | ||||
\(64\) | 521.008 | − | 601.275i | 1.01759 | − | 1.17437i | ||||
\(65\) | −69.6770 | + | 20.4590i | −0.132960 | + | 0.0390405i | ||||
\(66\) | −134.740 | + | 295.040i | −0.251294 | + | 0.550257i | ||||
\(67\) | 9.35246 | + | 65.0478i | 0.0170535 | + | 0.118610i | 0.996570 | − | 0.0827543i | \(-0.0263717\pi\) |
−0.979516 | + | 0.201364i | \(0.935463\pi\) | |||||||
\(68\) | 1143.27 | 2.03884 | ||||||||
\(69\) | 66.8998 | − | 116.137i | 0.116722 | − | 0.202627i | ||||
\(70\) | 84.7154 | 0.144649 | ||||||||
\(71\) | −93.1784 | − | 648.070i | −0.155750 | − | 1.08326i | −0.906356 | − | 0.422515i | \(-0.861147\pi\) |
0.750606 | − | 0.660750i | \(-0.229762\pi\) | |||||||
\(72\) | 137.347 | − | 300.747i | 0.224812 | − | 0.492269i | ||||
\(73\) | 578.271 | − | 169.796i | 0.927143 | − | 0.272234i | 0.216903 | − | 0.976193i | \(-0.430404\pi\) |
0.710240 | + | 0.703959i | \(0.248586\pi\) | |||||||
\(74\) | −657.041 | + | 758.265i | −1.03215 | + | 1.19117i | ||||
\(75\) | −90.1103 | − | 26.4588i | −0.138734 | − | 0.0407360i | ||||
\(76\) | −651.344 | + | 418.593i | −0.983083 | + | 0.631789i | ||||
\(77\) | −71.6811 | − | 156.960i | −0.106089 | − | 0.232301i | ||||
\(78\) | 36.4399 | + | 42.0539i | 0.0528976 | + | 0.0610471i | ||||
\(79\) | 98.2522 | + | 63.1429i | 0.139927 | + | 0.0899256i | 0.608731 | − | 0.793376i | \(-0.291679\pi\) |
−0.468804 | + | 0.883302i | \(0.655315\pi\) | |||||||
\(80\) | −30.8322 | + | 214.442i | −0.0430892 | + | 0.299692i | ||||
\(81\) | −87.0385 | + | 605.366i | −0.119394 | + | 0.830406i | ||||
\(82\) | −73.8304 | − | 47.4479i | −0.0994294 | − | 0.0638994i | ||||
\(83\) | −203.709 | − | 235.093i | −0.269398 | − | 0.310902i | 0.604890 | − | 0.796309i | \(-0.293217\pi\) |
−0.874288 | + | 0.485407i | \(0.838671\pi\) | |||||||
\(84\) | −15.5965 | − | 34.1517i | −0.0202586 | − | 0.0443602i | ||||
\(85\) | −605.362 | + | 389.042i | −0.772479 | + | 0.496442i | ||||
\(86\) | −927.037 | − | 272.203i | −1.16238 | − | 0.341307i | ||||
\(87\) | −98.6738 | + | 113.876i | −0.121597 | + | 0.140330i | ||||
\(88\) | −761.679 | + | 223.649i | −0.922673 | + | 0.270921i | ||||
\(89\) | 631.785 | − | 1383.42i | 0.752462 | − | 1.64766i | −0.00942914 | − | 0.999956i | \(-0.503001\pi\) |
0.761891 | − | 0.647706i | \(-0.224271\pi\) | |||||||
\(90\) | 109.287 | + | 760.107i | 0.127998 | + | 0.890248i | ||||
\(91\) | −29.6030 | −0.0341015 | ||||||||
\(92\) | 1188.36 | − | 230.247i | 1.34668 | − | 0.260923i | ||||
\(93\) | 175.886 | 0.196113 | ||||||||
\(94\) | 302.340 | + | 2102.82i | 0.331745 | + | 2.30734i | ||||
\(95\) | 202.445 | − | 443.292i | 0.218636 | − | 0.478745i | ||||
\(96\) | 280.102 | − | 82.2455i | 0.297790 | − | 0.0874390i | ||||
\(97\) | −545.487 | + | 629.525i | −0.570988 | + | 0.658955i | −0.965642 | − | 0.259875i | \(-0.916319\pi\) |
0.394655 | + | 0.918830i | \(0.370864\pi\) | |||||||
\(98\) | −1400.42 | − | 411.199i | −1.44350 | − | 0.423851i | ||||
\(99\) | 1315.85 | − | 845.643i | 1.33583 | − | 0.858488i | ||||
\(100\) | −352.347 | − | 771.533i | −0.352347 | − | 0.771533i | ||||
\(101\) | 1048.14 | + | 1209.62i | 1.03261 | + | 1.19170i | 0.981194 | + | 0.193024i | \(0.0618295\pi\) |
0.0514209 | + | 0.998677i | \(0.483625\pi\) | |||||||
\(102\) | 463.869 | + | 298.111i | 0.450293 | + | 0.289386i | ||||
\(103\) | −63.2185 | + | 439.695i | −0.0604768 | + | 0.420625i | 0.936982 | + | 0.349378i | \(0.113607\pi\) |
−0.997459 | + | 0.0712473i | \(0.977302\pi\) | |||||||
\(104\) | −19.3818 | + | 134.803i | −0.0182744 | + | 0.127101i | ||||
\(105\) | 19.8799 | + | 12.7760i | 0.0184769 | + | 0.0118744i | ||||
\(106\) | −1076.71 | − | 1242.59i | −0.986601 | − | 1.13860i | ||||
\(107\) | 450.175 | + | 985.745i | 0.406729 | + | 0.890613i | 0.996543 | + | 0.0830738i | \(0.0264737\pi\) |
−0.589814 | + | 0.807539i | \(0.700799\pi\) | |||||||
\(108\) | 589.171 | − | 378.637i | 0.524936 | − | 0.337356i | ||||
\(109\) | 69.8490 | + | 20.5095i | 0.0613790 | + | 0.0180225i | 0.312278 | − | 0.949991i | \(-0.398908\pi\) |
−0.250899 | + | 0.968013i | \(0.580726\pi\) | |||||||
\(110\) | 1207.43 | − | 1393.45i | 1.04658 | − | 1.20782i | ||||
\(111\) | −268.540 | + | 78.8506i | −0.229628 | + | 0.0674249i | ||||
\(112\) | −36.6879 | + | 80.3354i | −0.0309525 | + | 0.0677766i | ||||
\(113\) | −272.171 | − | 1892.99i | −0.226582 | − | 1.57591i | −0.712351 | − | 0.701823i | \(-0.752370\pi\) |
0.485770 | − | 0.874087i | \(-0.338539\pi\) | |||||||
\(114\) | −373.426 | −0.306794 | ||||||||
\(115\) | −550.887 | + | 526.303i | −0.446700 | + | 0.426765i | ||||
\(116\) | −1360.85 | −1.08924 | ||||||||
\(117\) | −38.1893 | − | 265.612i | −0.0301761 | − | 0.209879i | ||||
\(118\) | 1208.30 | − | 2645.80i | 0.942649 | − | 2.06411i | ||||
\(119\) | −281.460 | + | 82.6442i | −0.216819 | + | 0.0636637i | ||||
\(120\) | 71.1940 | − | 82.1622i | 0.0541591 | − | 0.0625029i | ||||
\(121\) | −2326.33 | − | 683.072i | −1.74781 | − | 0.513202i | ||||
\(122\) | −273.723 | + | 175.911i | −0.203129 | + | 0.130543i | ||||
\(123\) | −10.1699 | − | 22.2689i | −0.00745517 | − | 0.0163245i | ||||
\(124\) | 1040.25 | + | 1200.51i | 0.753362 | + | 0.869426i | ||||
\(125\) | 1175.45 | + | 755.414i | 0.841081 | + | 0.540530i | ||||
\(126\) | −44.5508 | + | 309.858i | −0.0314992 | + | 0.219082i | ||||
\(127\) | −236.816 | + | 1647.09i | −0.165465 | + | 1.15083i | 0.722651 | + | 0.691213i | \(0.242923\pi\) |
−0.888116 | + | 0.459619i | \(0.847986\pi\) | |||||||
\(128\) | 1298.49 | + | 834.487i | 0.896649 | + | 0.576242i | ||||
\(129\) | −176.494 | − | 203.684i | −0.120460 | − | 0.139019i | ||||
\(130\) | −131.404 | − | 287.734i | −0.0886528 | − | 0.194123i | ||||
\(131\) | −1058.93 | + | 680.536i | −0.706256 | + | 0.453883i | −0.843832 | − | 0.536608i | \(-0.819705\pi\) |
0.137576 | + | 0.990491i | \(0.456069\pi\) | |||||||
\(132\) | −784.040 | − | 230.215i | −0.516984 | − | 0.151800i | ||||
\(133\) | 130.095 | − | 150.138i | 0.0848170 | − | 0.0978840i | ||||
\(134\) | −274.660 | + | 80.6474i | −0.177067 | + | 0.0519916i | ||||
\(135\) | −183.121 | + | 400.978i | −0.116745 | + | 0.255635i | ||||
\(136\) | 192.058 | + | 1335.79i | 0.121095 | + | 0.842231i | ||||
\(137\) | −393.094 | −0.245141 | −0.122570 | − | 0.992460i | \(-0.539114\pi\) | ||||
−0.122570 | + | 0.992460i | \(0.539114\pi\) | |||||||
\(138\) | 542.203 | + | 216.448i | 0.334459 | + | 0.133517i | ||||
\(139\) | 1845.42 | 1.12609 | 0.563045 | − | 0.826426i | \(-0.309630\pi\) | ||||
0.563045 | + | 0.826426i | \(0.309630\pi\) | |||||||
\(140\) | 30.3734 | + | 211.252i | 0.0183359 | + | 0.127529i | ||||
\(141\) | −246.180 | + | 539.059i | −0.147036 | + | 0.321964i | ||||
\(142\) | 2736.43 | − | 803.489i | 1.61716 | − | 0.474840i | ||||
\(143\) | −421.924 | + | 486.927i | −0.246735 | + | 0.284747i | ||||
\(144\) | −768.137 | − | 225.545i | −0.444524 | − | 0.130524i | ||||
\(145\) | 720.571 | − | 463.083i | 0.412691 | − | 0.265220i | ||||
\(146\) | 1090.56 | + | 2387.99i | 0.618187 | + | 1.35364i | ||||
\(147\) | −266.618 | − | 307.693i | −0.149594 | − | 0.172640i | ||||
\(148\) | −2126.43 | − | 1366.57i | −1.18102 | − | 0.758997i | ||||
\(149\) | −406.381 | + | 2826.44i | −0.223436 | + | 1.55403i | 0.501463 | + | 0.865179i | \(0.332795\pi\) |
−0.724899 | + | 0.688855i | \(0.758114\pi\) | |||||||
\(150\) | 58.2184 | − | 404.918i | 0.0316901 | − | 0.220409i | ||||
\(151\) | 41.3330 | + | 26.5631i | 0.0222757 | + | 0.0143157i | 0.551731 | − | 0.834022i | \(-0.313967\pi\) |
−0.529456 | + | 0.848338i | \(0.677604\pi\) | |||||||
\(152\) | −598.505 | − | 690.712i | −0.319376 | − | 0.368580i | ||||
\(153\) | −1104.62 | − | 2418.78i | −0.583682 | − | 1.27809i | ||||
\(154\) | 632.305 | − | 406.358i | 0.330861 | − | 0.212632i | ||||
\(155\) | −959.333 | − | 281.686i | −0.497132 | − | 0.145971i | ||||
\(156\) | −91.8033 | + | 105.947i | −0.0471163 | + | 0.0543752i | ||||
\(157\) | 640.900 | − | 188.185i | 0.325792 | − | 0.0956612i | −0.114747 | − | 0.993395i | \(-0.536606\pi\) |
0.440539 | + | 0.897734i | \(0.354787\pi\) | |||||||
\(158\) | −211.337 | + | 462.763i | −0.106412 | + | 0.233009i | ||||
\(159\) | −65.2719 | − | 453.976i | −0.0325559 | − | 0.226432i | ||||
\(160\) | −1659.48 | −0.819958 | ||||||||
\(161\) | −275.917 | + | 142.588i | −0.135064 | + | 0.0697983i | ||||
\(162\) | −2664.03 | −1.29201 | ||||||||
\(163\) | −165.190 | − | 1148.92i | −0.0793782 | − | 0.552087i | −0.990240 | − | 0.139375i | \(-0.955491\pi\) |
0.910861 | − | 0.412712i | \(-0.135418\pi\) | |||||||
\(164\) | 91.8484 | − | 201.120i | 0.0437326 | − | 0.0957611i | ||||
\(165\) | 493.491 | − | 144.902i | 0.232837 | − | 0.0683673i | ||||
\(166\) | 887.337 | − | 1024.04i | 0.414884 | − | 0.478802i | ||||
\(167\) | 3539.93 | + | 1039.42i | 1.64029 | + | 0.481632i | 0.966366 | − | 0.257169i | \(-0.0827897\pi\) |
0.673923 | + | 0.738801i | \(0.264608\pi\) | |||||||
\(168\) | 37.2828 | − | 23.9602i | 0.0171216 | − | 0.0110034i | ||||
\(169\) | −866.749 | − | 1897.92i | −0.394515 | − | 0.863867i | ||||
\(170\) | −2052.65 | − | 2368.88i | −0.926064 | − | 1.06873i | ||||
\(171\) | 1514.94 | + | 973.590i | 0.677485 | + | 0.435393i | ||||
\(172\) | 346.407 | − | 2409.31i | 0.153565 | − | 1.06807i | ||||
\(173\) | 30.9115 | − | 214.994i | 0.0135847 | − | 0.0944838i | −0.981901 | − | 0.189395i | \(-0.939347\pi\) |
0.995486 | + | 0.0949107i | \(0.0302566\pi\) | |||||||
\(174\) | −552.150 | − | 354.845i | −0.240566 | − | 0.154602i | ||||
\(175\) | 142.517 | + | 164.473i | 0.0615614 | + | 0.0710457i | ||||
\(176\) | 798.497 | + | 1748.47i | 0.341983 | + | 0.748838i | ||||
\(177\) | 682.562 | − | 438.656i | 0.289856 | − | 0.186279i | ||||
\(178\) | 6356.33 | + | 1866.39i | 2.67656 | + | 0.785908i | ||||
\(179\) | 790.879 | − | 912.723i | 0.330241 | − | 0.381118i | −0.566211 | − | 0.824261i | \(-0.691591\pi\) |
0.896451 | + | 0.443143i | \(0.146137\pi\) | |||||||
\(180\) | −1856.27 | + | 545.049i | −0.768656 | + | 0.225698i | ||||
\(181\) | 1017.64 | − | 2228.33i | 0.417905 | − | 0.915084i | −0.577232 | − | 0.816580i | \(-0.695867\pi\) |
0.995137 | − | 0.0985035i | \(-0.0314056\pi\) | |||||||
\(182\) | −18.3511 | − | 127.635i | −0.00747405 | − | 0.0519831i | ||||
\(183\) | −90.7629 | −0.0366633 | ||||||||
\(184\) | 468.655 | + | 1349.80i | 0.187770 | + | 0.540808i | ||||
\(185\) | 1590.98 | 0.632276 | ||||||||
\(186\) | 109.033 | + | 758.343i | 0.0429823 | + | 0.298948i | ||||
\(187\) | −2652.21 | + | 5807.53i | −1.03716 | + | 2.27106i | ||||
\(188\) | −5135.33 | + | 1507.87i | −1.99219 | + | 0.584961i | ||||
\(189\) | −117.677 | + | 135.806i | −0.0452896 | + | 0.0522670i | ||||
\(190\) | 2036.78 | + | 598.051i | 0.777701 | + | 0.228354i | ||||
\(191\) | 647.819 | − | 416.328i | 0.245417 | − | 0.157720i | −0.412150 | − | 0.911116i | \(-0.635222\pi\) |
0.657567 | + | 0.753396i | \(0.271586\pi\) | |||||||
\(192\) | 401.587 | + | 879.353i | 0.150948 | + | 0.330530i | ||||
\(193\) | −916.733 | − | 1057.97i | −0.341906 | − | 0.394581i | 0.558591 | − | 0.829444i | \(-0.311342\pi\) |
−0.900497 | + | 0.434863i | \(0.856797\pi\) | |||||||
\(194\) | −3052.39 | − | 1961.65i | −1.12963 | − | 0.725971i | ||||
\(195\) | 12.5574 | − | 87.3387i | 0.00461156 | − | 0.0320741i | ||||
\(196\) | 523.295 | − | 3639.59i | 0.190705 | − | 1.32638i | ||||
\(197\) | −1627.15 | − | 1045.71i | −0.588477 | − | 0.378191i | 0.212255 | − | 0.977214i | \(-0.431919\pi\) |
−0.800732 | + | 0.599023i | \(0.795556\pi\) | |||||||
\(198\) | 4461.74 | + | 5149.13i | 1.60143 | + | 1.84814i | ||||
\(199\) | −760.364 | − | 1664.97i | −0.270858 | − | 0.593097i | 0.724507 | − | 0.689268i | \(-0.242068\pi\) |
−0.995365 | + | 0.0961710i | \(0.969340\pi\) | |||||||
\(200\) | 842.270 | − | 541.294i | 0.297787 | − | 0.191376i | ||||
\(201\) | −76.6160 | − | 22.4965i | −0.0268860 | − | 0.00789443i | ||||
\(202\) | −4565.60 | + | 5268.98i | −1.59027 | + | 1.83527i | ||||
\(203\) | 335.026 | − | 98.3726i | 0.115834 | − | 0.0340118i | ||||
\(204\) | −577.074 | + | 1263.62i | −0.198055 | + | 0.433681i | ||||
\(205\) | 19.8052 | + | 137.748i | 0.00674760 | + | 0.0469306i | ||||
\(206\) | −1934.96 | −0.654442 | ||||||||
\(207\) | −1635.32 | − | 2291.72i | −0.549094 | − | 0.769495i | ||||
\(208\) | 329.765 | 0.109928 | ||||||||
\(209\) | −615.335 | − | 4279.75i | −0.203654 | − | 1.41644i | ||||
\(210\) | −42.7609 | + | 93.6332i | −0.0140513 | + | 0.0307681i | ||||
\(211\) | −245.952 | + | 72.2180i | −0.0802466 | + | 0.0235625i | −0.321609 | − | 0.946872i | \(-0.604224\pi\) |
0.241363 | + | 0.970435i | \(0.422406\pi\) | |||||||
\(212\) | 2712.57 | − | 3130.47i | 0.878774 | − | 1.01416i | ||||
\(213\) | 763.324 | + | 224.132i | 0.245550 | + | 0.0720999i | ||||
\(214\) | −3971.03 | + | 2552.03i | −1.26848 | + | 0.815201i | ||||
\(215\) | 636.442 | + | 1393.61i | 0.201884 | + | 0.442063i | ||||
\(216\) | 541.376 | + | 624.781i | 0.170537 | + | 0.196810i | ||||
\(217\) | −342.880 | − | 220.356i | −0.107264 | − | 0.0689341i | ||||
\(218\) | −45.1280 | + | 313.872i | −0.0140204 | + | 0.0975142i | ||||
\(219\) | −104.218 | + | 724.850i | −0.0321570 | + | 0.223657i | ||||
\(220\) | 3907.69 | + | 2511.32i | 1.19753 | + | 0.769605i | ||||
\(221\) | 717.278 | + | 827.783i | 0.218323 | + | 0.251958i | ||||
\(222\) | −506.439 | − | 1108.95i | −0.153108 | − | 0.335260i | ||||
\(223\) | −2083.62 | + | 1339.06i | −0.625694 | + | 0.402109i | −0.814713 | − | 0.579865i | \(-0.803105\pi\) |
0.189019 | + | 0.981973i | \(0.439469\pi\) | |||||||
\(224\) | −649.084 | − | 190.588i | −0.193610 | − | 0.0568491i | ||||
\(225\) | −1291.88 | + | 1490.91i | −0.382779 | + | 0.441750i | ||||
\(226\) | 7993.03 | − | 2346.97i | 2.35260 | − | 0.690787i | ||||
\(227\) | −511.534 | + | 1120.10i | −0.149567 | + | 0.327506i | −0.969555 | − | 0.244875i | \(-0.921253\pi\) |
0.819988 | + | 0.572381i | \(0.193980\pi\) | |||||||
\(228\) | −133.886 | − | 931.199i | −0.0388896 | − | 0.270483i | ||||
\(229\) | 1448.21 | 0.417906 | 0.208953 | − | 0.977926i | \(-0.432994\pi\) | ||||
0.208953 | + | 0.977926i | \(0.432994\pi\) | |||||||
\(230\) | −2610.69 | − | 2048.92i | −0.748450 | − | 0.587400i | ||||
\(231\) | 209.664 | 0.0597182 | ||||||||
\(232\) | −228.610 | − | 1590.02i | −0.0646938 | − | 0.449955i | ||||
\(233\) | −1379.08 | + | 3019.77i | −0.387755 | + | 0.849064i | 0.610612 | + | 0.791930i | \(0.290924\pi\) |
−0.998367 | + | 0.0571341i | \(0.981804\pi\) | |||||||
\(234\) | 1121.53 | − | 329.311i | 0.313319 | − | 0.0919987i | ||||
\(235\) | 2206.05 | − | 2545.92i | 0.612371 | − | 0.706713i | ||||
\(236\) | 7030.94 | + | 2064.47i | 1.93930 | + | 0.569430i | ||||
\(237\) | −119.383 | + | 76.7231i | −0.0327206 | + | 0.0210283i | ||||
\(238\) | −530.805 | − | 1162.30i | −0.144567 | − | 0.316558i | ||||
\(239\) | 1241.26 | + | 1432.49i | 0.335942 | + | 0.387698i | 0.898437 | − | 0.439103i | \(-0.144704\pi\) |
−0.562495 | + | 0.826801i | \(0.690158\pi\) | |||||||
\(240\) | −221.454 | − | 142.320i | −0.0595615 | − | 0.0382779i | ||||
\(241\) | 932.439 | − | 6485.26i | 0.249227 | − | 1.73341i | −0.353474 | − | 0.935444i | \(-0.615000\pi\) |
0.602701 | − | 0.797967i | \(-0.294091\pi\) | |||||||
\(242\) | 1502.99 | − | 10453.6i | 0.399240 | − | 2.77678i | ||||
\(243\) | −2074.76 | − | 1333.36i | −0.547719 | − | 0.351997i | ||||
\(244\) | −536.801 | − | 619.502i | −0.140841 | − | 0.162539i | ||||
\(245\) | 961.433 | + | 2105.24i | 0.250709 | + | 0.548976i | ||||
\(246\) | 89.7093 | − | 57.6527i | 0.0232506 | − | 0.0149423i | ||||
\(247\) | −711.732 | − | 208.983i | −0.183346 | − | 0.0538352i | ||||
\(248\) | −1227.92 | + | 1417.10i | −0.314408 | + | 0.362847i | ||||
\(249\) | 362.665 | − | 106.488i | 0.0923012 | − | 0.0271021i | ||||
\(250\) | −2528.34 | + | 5536.29i | −0.639625 | + | 1.40058i | ||||
\(251\) | −737.417 | − | 5128.85i | −0.185440 | − | 1.28976i | −0.843636 | − | 0.536915i | \(-0.819590\pi\) |
0.658197 | − | 0.752846i | \(-0.271319\pi\) | |||||||
\(252\) | −788.653 | −0.197145 | ||||||||
\(253\) | −1587.21 | + | 6570.73i | −0.394416 | + | 1.63280i | ||||
\(254\) | −7248.33 | −1.79055 | ||||||||
\(255\) | −124.434 | − | 865.460i | −0.0305583 | − | 0.212538i | ||||
\(256\) | −148.959 | + | 326.174i | −0.0363669 | + | 0.0796323i | ||||
\(257\) | −5651.29 | + | 1659.37i | −1.37166 | + | 0.402757i | −0.882860 | − | 0.469637i | \(-0.844385\pi\) |
−0.488804 | + | 0.872394i | \(0.662567\pi\) | |||||||
\(258\) | 768.787 | − | 887.228i | 0.185514 | − | 0.214095i | ||||
\(259\) | 622.291 | + | 182.721i | 0.149295 | + | 0.0438368i | ||||
\(260\) | 670.399 | − | 430.839i | 0.159909 | − | 0.102767i | ||||
\(261\) | 1314.85 | + | 2879.11i | 0.311827 | + | 0.682807i | ||||
\(262\) | −3590.61 | − | 4143.79i | −0.846675 | − | 0.977115i | ||||
\(263\) | 2829.51 | + | 1818.41i | 0.663403 | + | 0.426343i | 0.828542 | − | 0.559927i | \(-0.189171\pi\) |
−0.165139 | + | 0.986270i | \(0.552807\pi\) | |||||||
\(264\) | 137.272 | − | 954.748i | 0.0320019 | − | 0.222578i | ||||
\(265\) | −371.042 | + | 2580.65i | −0.0860110 | + | 0.598219i | ||||
\(266\) | 727.974 | + | 467.840i | 0.167800 | + | 0.107839i | ||||
\(267\) | 1210.15 | + | 1396.58i | 0.277378 | + | 0.320111i | ||||
\(268\) | −299.582 | − | 655.994i | −0.0682832 | − | 0.149519i | ||||
\(269\) | −752.190 | + | 483.403i | −0.170490 | + | 0.109567i | −0.623103 | − | 0.782140i | \(-0.714128\pi\) |
0.452613 | + | 0.891707i | \(0.350492\pi\) | |||||||
\(270\) | −1842.36 | − | 540.966i | −0.415268 | − | 0.121934i | ||||
\(271\) | −3622.86 | + | 4181.01i | −0.812078 | + | 0.937189i | −0.998978 | − | 0.0451904i | \(-0.985611\pi\) |
0.186900 | + | 0.982379i | \(0.440156\pi\) | |||||||
\(272\) | 3135.35 | − | 920.622i | 0.698928 | − | 0.205224i | ||||
\(273\) | 14.9424 | − | 32.7192i | 0.00331265 | − | 0.00725369i | ||||
\(274\) | −243.682 | − | 1694.85i | −0.0537277 | − | 0.373684i | ||||
\(275\) | 4736.60 | 1.03865 | ||||||||
\(276\) | −345.350 | + | 1429.67i | −0.0753175 | + | 0.311798i | ||||
\(277\) | 7236.06 | 1.56958 | 0.784788 | − | 0.619764i | \(-0.212772\pi\) | ||||
0.784788 | + | 0.619764i | \(0.212772\pi\) | |||||||
\(278\) | 1143.99 | + | 7956.63i | 0.246806 | + | 1.71657i | ||||
\(279\) | 1534.80 | − | 3360.75i | 0.329342 | − | 0.721158i | ||||
\(280\) | −241.724 | + | 70.9766i | −0.0515921 | + | 0.0151488i | ||||
\(281\) | 323.661 | − | 373.525i | 0.0687118 | − | 0.0792977i | −0.720353 | − | 0.693608i | \(-0.756020\pi\) |
0.789065 | + | 0.614310i | \(0.210566\pi\) | |||||||
\(282\) | −2476.79 | − | 727.252i | −0.523017 | − | 0.153572i | ||||
\(283\) | 1641.16 | − | 1054.71i | 0.344724 | − | 0.221541i | −0.356809 | − | 0.934177i | \(-0.616135\pi\) |
0.701533 | + | 0.712637i | \(0.252499\pi\) | |||||||
\(284\) | 2984.73 | + | 6535.66i | 0.623632 | + | 1.36556i | ||||
\(285\) | 387.771 | + | 447.511i | 0.0805949 | + | 0.0930115i | ||||
\(286\) | −2360.97 | − | 1517.30i | −0.488136 | − | 0.313706i | ||||
\(287\) | −8.07360 | + | 56.1531i | −0.00166052 | + | 0.0115492i | ||||
\(288\) | 872.700 | − | 6069.76i | 0.178557 | − | 1.24189i | ||||
\(289\) | 4997.65 | + | 3211.79i | 1.01723 | + | 0.653734i | ||||
\(290\) | 2443.30 | + | 2819.71i | 0.494742 | + | 0.570963i | ||||
\(291\) | −420.455 | − | 920.668i | −0.0846994 | − | 0.185466i | ||||
\(292\) | −5563.84 | + | 3575.66i | −1.11507 | + | 0.716609i | ||||
\(293\) | −548.709 | − | 161.115i | −0.109406 | − | 0.0321245i | 0.226571 | − | 0.973995i | \(-0.427248\pi\) |
−0.335977 | + | 0.941870i | \(0.609067\pi\) | |||||||
\(294\) | 1161.36 | − | 1340.28i | 0.230380 | − | 0.265873i | ||||
\(295\) | −4425.41 | + | 1299.42i | −0.873415 | + | 0.256458i | ||||
\(296\) | 1239.49 | − | 2714.10i | 0.243391 | − | 0.532951i | ||||
\(297\) | 556.600 | + | 3871.24i | 0.108745 | + | 0.756336i | ||||
\(298\) | −12438.3 | −2.41789 | ||||||||
\(299\) | 912.279 | + | 715.976i | 0.176450 | + | 0.138482i | ||||
\(300\) | 1030.60 | 0.198339 | ||||||||
\(301\) | 88.8820 | + | 618.188i | 0.0170202 | + | 0.118378i | ||||
\(302\) | −88.9058 | + | 194.676i | −0.0169402 | + | 0.0370940i | ||||
\(303\) | −1866.02 | + | 547.912i | −0.353795 | + | 0.103884i | ||||
\(304\) | −1449.20 | + | 1672.47i | −0.273413 | + | 0.315535i | ||||
\(305\) | 495.048 | + | 145.359i | 0.0929388 | + | 0.0272893i | ||||
\(306\) | 9743.96 | − | 6262.06i | 1.82034 | − | 1.16986i | ||||
\(307\) | −3249.23 | − | 7114.83i | −0.604051 | − | 1.32269i | −0.926570 | − | 0.376123i | \(-0.877257\pi\) |
0.322519 | − | 0.946563i | \(-0.395470\pi\) | |||||||
\(308\) | 1240.02 | + | 1431.06i | 0.229405 | + | 0.264748i | ||||
\(309\) | −454.070 | − | 291.813i | −0.0835960 | − | 0.0537239i | ||||
\(310\) | 619.806 | − | 4310.84i | 0.113557 | − | 0.789804i | ||||
\(311\) | 282.577 | − | 1965.36i | 0.0515223 | − | 0.358346i | −0.947709 | − | 0.319137i | \(-0.896607\pi\) |
0.999231 | − | 0.0392090i | \(-0.0124838\pi\) | |||||||
\(312\) | −139.210 | − | 89.4651i | −0.0252604 | − | 0.0162339i | ||||
\(313\) | −4775.64 | − | 5511.38i | −0.862413 | − | 0.995277i | −0.999989 | − | 0.00478607i | \(-0.998477\pi\) |
0.137576 | − | 0.990491i | \(-0.456069\pi\) | |||||||
\(314\) | 1208.67 | + | 2646.62i | 0.217227 | + | 0.475661i | ||||
\(315\) | 417.593 | − | 268.371i | 0.0746943 | − | 0.0480031i | ||||
\(316\) | −1229.75 | − | 361.086i | −0.218920 | − | 0.0642806i | ||||
\(317\) | −244.138 | + | 281.750i | −0.0432560 | + | 0.0499201i | −0.776965 | − | 0.629543i | \(-0.783242\pi\) |
0.733709 | + | 0.679464i | \(0.237787\pi\) | |||||||
\(318\) | 1916.88 | − | 562.847i | 0.338029 | − | 0.0992544i | ||||
\(319\) | 3156.96 | − | 6912.78i | 0.554094 | − | 1.21330i | ||||
\(320\) | −782.068 | − | 5439.40i | −0.136622 | − | 0.950224i | ||||
\(321\) | −1316.74 | −0.228951 | ||||||||
\(322\) | −785.821 | − | 1101.24i | −0.136000 | − | 0.190590i | ||||
\(323\) | −7350.46 | −1.26622 | ||||||||
\(324\) | −955.146 | − | 6643.19i | −0.163777 | − | 1.13909i | ||||
\(325\) | 337.569 | − | 739.172i | 0.0576152 | − | 0.126160i | ||||
\(326\) | 4851.23 | − | 1424.45i | 0.824186 | − | 0.242003i | ||||
\(327\) | −57.9254 | + | 66.8495i | −0.00979597 | + | 0.0113052i | ||||
\(328\) | 250.418 | + | 73.5295i | 0.0421556 | + | 0.0123780i | ||||
\(329\) | 1155.26 | − | 742.443i | 0.193592 | − | 0.124414i | ||||
\(330\) | 930.672 | + | 2037.89i | 0.155248 | + | 0.339946i | ||||
\(331\) | 2928.77 | + | 3379.98i | 0.486343 | + | 0.561270i | 0.944885 | − | 0.327403i | \(-0.106173\pi\) |
−0.458541 | + | 0.888673i | \(0.651628\pi\) | |||||||
\(332\) | 2871.76 | + | 1845.57i | 0.474723 | + | 0.305086i | ||||
\(333\) | −836.677 | + | 5819.22i | −0.137687 | + | 0.957631i | ||||
\(334\) | −2287.08 | + | 15907.0i | −0.374681 | + | 2.60596i | ||||
\(335\) | 381.858 | + | 245.405i | 0.0622779 | + | 0.0400236i | ||||
\(336\) | −70.2736 | − | 81.1000i | −0.0114099 | − | 0.0131678i | ||||
\(337\) | −297.644 | − | 651.749i | −0.0481119 | − | 0.105350i | 0.884050 | − | 0.467393i | \(-0.154807\pi\) |
−0.932161 | + | 0.362043i | \(0.882079\pi\) | |||||||
\(338\) | 7645.67 | − | 4913.57i | 1.23038 | − | 0.790720i | ||||
\(339\) | 2229.65 | + | 654.683i | 0.357221 | + | 0.104889i | ||||
\(340\) | 5171.25 | − | 5967.93i | 0.824853 | − | 0.951932i | ||||
\(341\) | −8511.52 | + | 2499.21i | −1.35169 | + | 0.396891i | ||||
\(342\) | −3258.57 | + | 7135.27i | −0.515214 | + | 1.12816i | ||||
\(343\) | 271.714 | + | 1889.81i | 0.0427731 | + | 0.297493i | ||||
\(344\) | 2873.24 | 0.450333 | ||||||||
\(345\) | −303.641 | − | 874.534i | −0.0473840 | − | 0.136473i | ||||
\(346\) | 946.122 | 0.147005 | ||||||||
\(347\) | −711.907 | − | 4951.42i | −0.110136 | − | 0.766013i | −0.967785 | − | 0.251777i | \(-0.918985\pi\) |
0.857649 | − | 0.514235i | \(-0.171924\pi\) | |||||||
\(348\) | 686.900 | − | 1504.10i | 0.105809 | − | 0.231690i | ||||
\(349\) | 8940.98 | − | 2625.31i | 1.37135 | − | 0.402664i | 0.488597 | − | 0.872509i | \(-0.337509\pi\) |
0.882749 | + | 0.469846i | \(0.155690\pi\) | |||||||
\(350\) | −620.788 | + | 716.427i | −0.0948072 | + | 0.109413i | ||||
\(351\) | 643.795 | + | 189.035i | 0.0979009 | + | 0.0287463i | ||||
\(352\) | −12386.1 | + | 7960.09i | −1.87552 | + | 1.20532i | ||||
\(353\) | 1120.80 | + | 2454.22i | 0.168993 | + | 0.370042i | 0.975113 | − | 0.221710i | \(-0.0711638\pi\) |
−0.806120 | + | 0.591752i | \(0.798437\pi\) | |||||||
\(354\) | 2314.42 | + | 2670.98i | 0.347486 | + | 0.401020i | ||||
\(355\) | −3804.44 | − | 2444.97i | −0.568785 | − | 0.365536i | ||||
\(356\) | −2375.17 | + | 16519.7i | −0.353607 | + | 2.45939i | ||||
\(357\) | 50.7256 | − | 352.805i | 0.00752013 | − | 0.0523036i | ||||
\(358\) | 4425.53 | + | 2844.12i | 0.653342 | + | 0.419878i | ||||
\(359\) | −6447.37 | − | 7440.66i | −0.947853 | − | 1.09388i | −0.995476 | − | 0.0950148i | \(-0.969710\pi\) |
0.0476233 | − | 0.998865i | \(-0.484835\pi\) | |||||||
\(360\) | −948.673 | − | 2077.30i | −0.138887 | − | 0.304121i | ||||
\(361\) | −1582.44 | + | 1016.97i | −0.230710 | + | 0.148268i | ||||
\(362\) | 10238.4 | + | 3006.27i | 1.48652 | + | 0.436480i | ||||
\(363\) | 1929.22 | − | 2226.43i | 0.278946 | − | 0.321921i | ||||
\(364\) | 311.699 | − | 91.5231i | 0.0448831 | − | 0.0131789i | ||||
\(365\) | 1729.30 | − | 3786.64i | 0.247988 | − | 0.543018i | ||||
\(366\) | −56.2647 | − | 391.330i | −0.00803553 | − | 0.0558883i | ||||
\(367\) | −614.211 | −0.0873612 | −0.0436806 | − | 0.999046i | \(-0.513908\pi\) | ||||
−0.0436806 | + | 0.999046i | \(0.513908\pi\) | |||||||
\(368\) | 3073.61 | − | 1588.37i | 0.435388 | − | 0.224999i | ||||
\(369\) | −514.248 | −0.0725493 | ||||||||
\(370\) | 986.262 | + | 6859.60i | 0.138576 | + | 0.963821i | ||||
\(371\) | −441.511 | + | 966.775i | −0.0617847 | + | 0.135290i | ||||
\(372\) | −1851.96 | + | 543.784i | −0.258117 | + | 0.0757900i | ||||
\(373\) | 3890.42 | − | 4489.79i | 0.540050 | − | 0.623251i | −0.418486 | − | 0.908223i | \(-0.637439\pi\) |
0.958536 | + | 0.284973i | \(0.0919845\pi\) | |||||||
\(374\) | −26683.6 | − | 7835.02i | −3.68924 | − | 1.08326i | ||||
\(375\) | −1428.25 | + | 917.882i | −0.196679 | + | 0.126398i | ||||
\(376\) | −2624.49 | − | 5746.82i | −0.359967 | − | 0.788217i | ||||
\(377\) | −853.786 | − | 985.322i | −0.116637 | − | 0.134606i | ||||
\(378\) | −658.487 | − | 423.184i | −0.0896003 | − | 0.0575826i | ||||
\(379\) | −1339.12 | + | 9313.79i | −0.181493 | + | 1.26231i | 0.671741 | + | 0.740786i | \(0.265547\pi\) |
−0.853234 | + | 0.521528i | \(0.825362\pi\) | |||||||
\(380\) | −761.084 | + | 5293.45i | −0.102744 | + | 0.714601i | ||||
\(381\) | −1700.94 | − | 1093.13i | −0.228719 | − | 0.146989i | ||||
\(382\) | 2196.61 | + | 2535.03i | 0.294211 | + | 0.339537i | ||||
\(383\) | −4943.01 | − | 10823.7i | −0.659468 | − | 1.44403i | −0.883017 | − | 0.469341i | \(-0.844492\pi\) |
0.223549 | − | 0.974693i | \(-0.428236\pi\) | |||||||
\(384\) | −1577.76 | + | 1013.96i | −0.209673 | + | 0.134749i | ||||
\(385\) | −1143.57 | − | 335.783i | −0.151381 | − | 0.0444495i | ||||
\(386\) | 3993.19 | − | 4608.39i | 0.526550 | − | 0.607671i | ||||
\(387\) | −5432.02 | + | 1594.99i | −0.713502 | + | 0.209503i | ||||
\(388\) | 3797.31 | − | 8314.94i | 0.496853 | − | 1.08796i | ||||
\(389\) | 1673.52 | + | 11639.6i | 0.218125 | + | 1.51710i | 0.744949 | + | 0.667121i | \(0.232474\pi\) |
−0.526824 | + | 0.849974i | \(0.676617\pi\) | |||||||
\(390\) | 384.350 | 0.0499034 | ||||||||
\(391\) | 10672.6 | + | 4260.53i | 1.38040 | + | 0.551059i | ||||
\(392\) | 4340.42 | 0.559245 | ||||||||
\(393\) | −217.668 | − | 1513.91i | −0.0279387 | − | 0.194318i | ||||
\(394\) | 3499.95 | − | 7663.82i | 0.447525 | − | 0.979943i | ||||
\(395\) | 774.027 | − | 227.275i | 0.0985962 | − | 0.0289505i | ||||
\(396\) | −11240.5 | + | 12972.2i | −1.42640 | + | 1.64616i | ||||
\(397\) | 10413.4 | + | 3057.66i | 1.31646 | + | 0.386548i | 0.863214 | − | 0.504837i | \(-0.168448\pi\) |
0.453246 | + | 0.891385i | \(0.350266\pi\) | |||||||
\(398\) | 6707.24 | − | 4310.48i | 0.844733 | − | 0.542877i | ||||
\(399\) | 100.276 | + | 219.573i | 0.0125816 | + | 0.0275499i | ||||
\(400\) | −1587.58 | − | 1832.16i | −0.198447 | − | 0.229020i | ||||
\(401\) | 1159.36 | + | 745.075i | 0.144378 | + | 0.0927862i | 0.610836 | − | 0.791757i | \(-0.290834\pi\) |
−0.466458 | + | 0.884544i | \(0.654470\pi\) | |||||||
\(402\) | 49.5000 | − | 344.280i | 0.00614139 | − | 0.0427143i | ||||
\(403\) | −216.585 | + | 1506.38i | −0.0267714 | + | 0.186199i | ||||
\(404\) | −14776.0 | − | 9495.95i | −1.81964 | − | 1.16941i | ||||
\(405\) | 2766.36 | + | 3192.55i | 0.339411 | + | 0.391702i | ||||
\(406\) | 631.825 | + | 1383.50i | 0.0772338 | + | 0.169118i | ||||
\(407\) | 11874.9 | − | 7631.52i | 1.44623 | − | 0.929436i | ||||
\(408\) | −1573.35 | − | 461.979i | −0.190913 | − | 0.0560572i | ||||
\(409\) | 7843.29 | − | 9051.64i | 0.948229 | − | 1.09431i | −0.0472070 | − | 0.998885i | \(-0.515032\pi\) |
0.995436 | − | 0.0954297i | \(-0.0304225\pi\) | |||||||
\(410\) | −581.633 | + | 170.783i | −0.0700605 | + | 0.0205716i | ||||
\(411\) | 198.418 | − | 434.474i | 0.0238132 | − | 0.0521436i | ||||
\(412\) | −693.749 | − | 4825.13i | −0.0829577 | − | 0.576984i | ||||
\(413\) | −1880.18 | −0.224014 | ||||||||
\(414\) | 8867.14 | − | 8471.43i | 1.05265 | − | 1.00567i | ||||
\(415\) | −2148.63 | −0.254149 | ||||||||
\(416\) | 359.478 | + | 2500.22i | 0.0423675 | + | 0.294672i | ||||
\(417\) | −931.492 | + | 2039.68i | −0.109389 | + | 0.239529i | ||||
\(418\) | 18070.9 | − | 5306.11i | 2.11454 | − | 0.620886i | ||||
\(419\) | −3912.88 | + | 4515.70i | −0.456221 | + | 0.526507i | −0.936528 | − | 0.350593i | \(-0.885980\pi\) |
0.480307 | + | 0.877101i | \(0.340525\pi\) | |||||||
\(420\) | −248.821 | − | 73.0604i | −0.0289077 | − | 0.00848805i | ||||
\(421\) | −7632.00 | + | 4904.79i | −0.883518 | + | 0.567802i | −0.901859 | − | 0.432029i | \(-0.857798\pi\) |
0.0183419 | + | 0.999832i | \(0.494161\pi\) | |||||||
\(422\) | −463.840 | − | 1015.67i | −0.0535056 | − | 0.117161i | ||||
\(423\) | 8151.91 | + | 9407.81i | 0.937020 | + | 1.08138i | ||||
\(424\) | 4113.34 | + | 2643.48i | 0.471135 | + | 0.302780i | ||||
\(425\) | 1145.96 | − | 7970.34i | 0.130794 | − | 0.909690i | ||||
\(426\) | −493.168 | + | 3430.06i | −0.0560894 | + | 0.390110i | ||||
\(427\) | 176.937 | + | 113.711i | 0.0200529 | + | 0.0128872i | ||||
\(428\) | −7787.64 | − | 8987.42i | −0.879509 | − | 1.01501i | ||||
\(429\) | −325.214 | − | 712.120i | −0.0366002 | − | 0.0801433i | ||||
\(430\) | −5614.11 | + | 3607.97i | −0.629619 | + | 0.404632i | ||||
\(431\) | −647.588 | − | 190.149i | −0.0723741 | − | 0.0212509i | 0.245345 | − | 0.969436i | \(-0.421099\pi\) |
−0.317719 | + | 0.948185i | \(0.602917\pi\) | |||||||
\(432\) | 1310.87 | − | 1512.83i | 0.145994 | − | 0.168486i | ||||
\(433\) | −922.343 | + | 270.824i | −0.102367 | + | 0.0300577i | −0.332515 | − | 0.943098i | \(-0.607897\pi\) |
0.230148 | + | 0.973156i | \(0.426079\pi\) | |||||||
\(434\) | 737.522 | − | 1614.95i | 0.0815718 | − | 0.178617i | ||||
\(435\) | 148.116 | + | 1030.17i | 0.0163256 | + | 0.113547i | ||||
\(436\) | −798.870 | −0.0877499 | ||||||||
\(437\) | −7640.37 | + | 1480.34i | −0.836358 | + | 0.162046i | ||||
\(438\) | −3189.84 | −0.347983 | ||||||||
\(439\) | 1806.98 | + | 12567.9i | 0.196453 | + | 1.36636i | 0.814476 | + | 0.580197i | \(0.197025\pi\) |
−0.618023 | + | 0.786160i | \(0.712066\pi\) | |||||||
\(440\) | −2277.77 | + | 4987.63i | −0.246792 | + | 0.540400i | ||||
\(441\) | −8205.81 | + | 2409.44i | −0.886061 | + | 0.260171i | ||||
\(442\) | −3124.39 | + | 3605.74i | −0.336226 | + | 0.388026i | ||||
\(443\) | −3054.06 | − | 896.752i | −0.327546 | − | 0.0961761i | 0.113825 | − | 0.993501i | \(-0.463690\pi\) |
−0.441371 | + | 0.897325i | \(0.645508\pi\) | |||||||
\(444\) | 2583.76 | − | 1660.48i | 0.276171 | − | 0.177484i | ||||
\(445\) | −4363.83 | − | 9555.46i | −0.464866 | − | 1.01792i | ||||
\(446\) | −7065.10 | − | 8153.56i | −0.750095 | − | 0.865656i | ||||
\(447\) | −2918.85 | − | 1875.83i | −0.308852 | − | 0.198487i | ||||
\(448\) | 318.810 | − | 2217.37i | 0.0336213 | − | 0.233841i | ||||
\(449\) | −1213.18 | + | 8437.85i | −0.127513 | + | 0.886875i | 0.821178 | + | 0.570672i | \(0.193317\pi\) |
−0.948692 | + | 0.316203i | \(0.897592\pi\) | |||||||
\(450\) | −7228.98 | − | 4645.78i | −0.757283 | − | 0.486676i | ||||
\(451\) | 808.567 | + | 933.137i | 0.0844212 | + | 0.0974272i | ||||
\(452\) | 8718.32 | + | 19090.5i | 0.907246 | + | 1.98659i | ||||
\(453\) | −50.2226 | + | 32.2761i | −0.00520897 | + | 0.00334760i | ||||
\(454\) | −5146.50 | − | 1511.15i | −0.532020 | − | 0.156215i | ||||
\(455\) | −133.901 | + | 154.530i | −0.0137964 | + | 0.0159219i | ||||
\(456\) | 1065.52 | − | 312.866i | 0.109425 | − | 0.0321300i | ||||
\(457\) | −1160.77 | + | 2541.72i | −0.118815 | + | 0.260168i | −0.959690 | − | 0.281061i | \(-0.909314\pi\) |
0.840875 | + | 0.541229i | \(0.182041\pi\) | |||||||
\(458\) | 897.758 | + | 6244.05i | 0.0915928 | + | 0.637042i | ||||
\(459\) | 6648.84 | 0.676125 | ||||||||
\(460\) | 4173.30 | − | 7244.78i | 0.423002 | − | 0.734325i | ||||
\(461\) | −4244.49 | −0.428819 | −0.214410 | − | 0.976744i | \(-0.568783\pi\) | ||||
−0.214410 | + | 0.976744i | \(0.568783\pi\) | |||||||
\(462\) | 129.973 | + | 903.980i | 0.0130885 | + | 0.0910324i | ||||
\(463\) | 3383.23 | − | 7408.23i | 0.339594 | − | 0.743606i | −0.660380 | − | 0.750932i | \(-0.729605\pi\) |
0.999973 | + | 0.00732567i | \(0.00233185\pi\) | |||||||
\(464\) | −3732.05 | + | 1095.83i | −0.373397 | + | 0.109639i | ||||
\(465\) | 795.571 | − | 918.137i | 0.0793413 | − | 0.0915647i | ||||
\(466\) | −13874.8 | − | 4074.02i | −1.37927 | − | 0.404990i | ||||
\(467\) | 7648.21 | − | 4915.21i | 0.757852 | − | 0.487042i | −0.103764 | − | 0.994602i | \(-0.533089\pi\) |
0.861617 | + | 0.507560i | \(0.169452\pi\) | |||||||
\(468\) | 1223.30 | + | 2678.64i | 0.120827 | + | 0.264573i | ||||
\(469\) | 121.174 | + | 139.843i | 0.0119303 | + | 0.0137683i | ||||
\(470\) | 12344.4 | + | 7933.29i | 1.21150 | + | 0.778586i | ||||
\(471\) | −115.505 | + | 803.355i | −0.0112998 | + | 0.0785916i | ||||
\(472\) | −1231.00 | + | 8561.77i | −0.120045 | + | 0.834931i | ||||
\(473\) | 11435.1 | + | 7348.91i | 1.11160 | + | 0.714383i | ||||
\(474\) | −404.803 | − | 467.168i | −0.0392262 | − | 0.0452695i | ||||
\(475\) | 2265.36 | + | 4960.46i | 0.218825 | + | 0.479161i | ||||
\(476\) | 2708.07 | − | 1740.37i | 0.260765 | − | 0.167584i | ||||
\(477\) | −9243.95 | − | 2714.27i | −0.887319 | − | 0.260540i | ||||
\(478\) | −5406.78 | + | 6239.76i | −0.517365 | + | 0.597071i | ||||
\(479\) | −15153.7 | + | 4449.54i | −1.44549 | + | 0.424435i | −0.908049 | − | 0.418864i | \(-0.862428\pi\) |
−0.537444 | + | 0.843299i | \(0.680610\pi\) | |||||||
\(480\) | 837.637 | − | 1834.17i | 0.0796515 | − | 0.174412i | ||||
\(481\) | −344.640 | − | 2397.02i | −0.0326699 | − | 0.227224i | ||||
\(482\) | 28539.6 | 2.69698 | ||||||||
\(483\) | −18.3264 | − | 376.936i | −0.00172646 | − | 0.0355097i | ||||
\(484\) | 26606.5 | 2.49873 | ||||||||
\(485\) | 818.812 | + | 5694.96i | 0.0766605 | + | 0.533185i | ||||
\(486\) | 4462.72 | − | 9771.99i | 0.416529 | − | 0.912071i | ||||
\(487\) | −11689.0 | + | 3432.19i | −1.08763 | + | 0.319358i | −0.775928 | − | 0.630821i | \(-0.782718\pi\) |
−0.311705 | + | 0.950179i | \(0.600900\pi\) | |||||||
\(488\) | 633.649 | − | 731.270i | 0.0587786 | − | 0.0678341i | ||||
\(489\) | 1353.24 | + | 397.348i | 0.125145 | + | 0.0367458i | ||||
\(490\) | −8480.88 | + | 5450.33i | −0.781892 | + | 0.502492i | ||||
\(491\) | 3237.97 | + | 7090.18i | 0.297613 | + | 0.651681i | 0.998076 | − | 0.0620081i | \(-0.0197504\pi\) |
−0.700463 | + | 0.713689i | \(0.747023\pi\) | |||||||
\(492\) | 175.930 | + | 203.034i | 0.0161210 | + | 0.0186046i | ||||
\(493\) | −10868.4 | − | 6984.72i | −0.992880 | − | 0.638085i | ||||
\(494\) | 459.835 | − | 3198.22i | 0.0418805 | − | 0.291285i | ||||
\(495\) | 1537.54 | − | 10693.8i | 0.139611 | − | 0.971015i | ||||
\(496\) | 3819.54 | + | 2454.67i | 0.345771 | + | 0.222213i | ||||
\(497\) | −1207.26 | − | 1393.25i | −0.108960 | − | 0.125746i | ||||
\(498\) | 683.949 | + | 1497.64i | 0.0615432 | + | 0.134761i | ||||
\(499\) | −2470.36 | + | 1587.60i | −0.221620 | + | 0.142427i | −0.646740 | − | 0.762710i | \(-0.723868\pi\) |
0.425120 | + | 0.905137i | \(0.360232\pi\) | |||||||
\(500\) | −14712.1 | − | 4319.88i | −1.31589 | − | 0.386381i | ||||
\(501\) | −2935.65 | + | 3387.92i | −0.261787 | + | 0.302118i | ||||
\(502\) | 21656.2 | − | 6358.83i | 1.92543 | − | 0.565356i | ||||
\(503\) | −5397.18 | + | 11818.2i | −0.478426 | + | 1.04761i | 0.504467 | + | 0.863431i | \(0.331689\pi\) |
−0.982893 | + | 0.184176i | \(0.941038\pi\) | |||||||
\(504\) | −132.487 | − | 921.464i | −0.0117092 | − | 0.0814390i | ||||
\(505\) | 11055.3 | 0.974166 | ||||||||
\(506\) | −29314.0 | − | 2770.12i | −2.57543 | − | 0.243373i | ||||
\(507\) | 2535.21 | 0.222076 | ||||||||
\(508\) | −2598.78 | − | 18074.9i | −0.226973 | − | 1.57863i | ||||
\(509\) | 3801.54 | − | 8324.21i | 0.331042 | − | 0.724880i | −0.668786 | − | 0.743455i | \(-0.733186\pi\) |
0.999827 | + | 0.0185751i | \(0.00591298\pi\) | |||||||
\(510\) | 3654.34 | − | 1073.01i | 0.317288 | − | 0.0931642i | ||||
\(511\) | 1111.28 | − | 1282.49i | 0.0962040 | − | 0.111025i | ||||
\(512\) | 10349.3 | + | 3038.82i | 0.893315 | + | 0.262301i | ||||
\(513\) | −3787.99 | + | 2434.39i | −0.326011 | + | 0.209515i | ||||
\(514\) | −10657.7 | − | 23337.2i | −0.914577 | − | 2.00265i | ||||
\(515\) | 2009.29 | + | 2318.84i | 0.171922 | + | 0.198408i | ||||
\(516\) | 2488.08 | + | 1598.99i | 0.212271 | + | 0.136418i | ||||
\(517\) | 4253.58 | − | 29584.3i | 0.361842 | − | 2.51667i | ||||
\(518\) | −402.049 | + | 2796.32i | −0.0341024 | + | 0.237187i | ||||
\(519\) | 222.023 | + | 142.686i | 0.0187779 | + | 0.0120678i | ||||
\(520\) | 616.014 | + | 710.918i | 0.0519500 | + | 0.0599535i | ||||
\(521\) | −3212.23 | − | 7033.81i | −0.270116 | − | 0.591472i | 0.725157 | − | 0.688583i | \(-0.241767\pi\) |
−0.995274 | + | 0.0971113i | \(0.969040\pi\) | |||||||
\(522\) | −11598.4 | + | 7453.82i | −0.972504 | + | 0.624990i | ||||
\(523\) | −9903.02 | − | 2907.79i | −0.827971 | − | 0.243114i | −0.159826 | − | 0.987145i | \(-0.551093\pi\) |
−0.668145 | + | 0.744031i | \(0.732911\pi\) | |||||||
\(524\) | 9045.85 | − | 10439.5i | 0.754141 | − | 0.870325i | ||||
\(525\) | −253.723 | + | 74.4999i | −0.0210922 | + | 0.00619323i | ||||
\(526\) | −6086.16 | + | 13326.8i | −0.504504 | + | 1.10471i | ||||
\(527\) | 2146.19 | + | 14927.1i | 0.177400 | + | 1.23384i | ||||
\(528\) | −2335.57 | −0.192505 | ||||||||
\(529\) | 11951.6 | + | 2279.17i | 0.982298 | + | 0.187324i | ||||
\(530\) | −11356.6 | −0.930757 | ||||||||
\(531\) | −2425.52 | − | 16869.9i | −0.198227 | − | 1.37870i | ||||
\(532\) | −905.632 | + | 1983.06i | −0.0738047 | + | 0.161610i | ||||
\(533\) | 203.246 | − | 59.6784i | 0.0165170 | − | 0.00484983i | ||||
\(534\) | −5271.27 | + | 6083.38i | −0.427173 | + | 0.492984i | ||||
\(535\) | 7181.90 | + | 2108.80i | 0.580375 | + | 0.170413i | ||||
\(536\) | 716.137 | − | 460.234i | 0.0577098 | − | 0.0370878i | ||||
\(537\) | 609.600 | + | 1334.84i | 0.0489873 | + | 0.107267i | ||||
\(538\) | −2550.51 | − | 2943.45i | −0.204387 | − | 0.235876i | ||||
\(539\) | 17274.3 | + | 11101.5i | 1.38044 | + | 0.887156i | ||||
\(540\) | 688.436 | − | 4788.18i | 0.0548622 | − | 0.381575i | ||||
\(541\) | 710.067 | − | 4938.63i | 0.0564291 | − | 0.392473i | −0.941959 | − | 0.335727i | \(-0.891018\pi\) |
0.998389 | − | 0.0567467i | \(-0.0180727\pi\) | |||||||
\(542\) | −20272.5 | − | 13028.3i | −1.60660 | − | 1.03250i | ||||
\(543\) | 1949.23 | + | 2249.54i | 0.154051 | + | 0.177784i | ||||
\(544\) | 10397.9 | + | 22768.2i | 0.819494 | + | 1.79444i | ||||
\(545\) | 423.003 | − | 271.848i | 0.0332467 | − | 0.0213664i | ||||
\(546\) | 150.334 | + | 44.1420i | 0.0117833 | + | 0.00345989i | ||||
\(547\) | −6947.29 | + | 8017.60i | −0.543043 | + | 0.626705i | −0.959248 | − | 0.282566i | \(-0.908815\pi\) |
0.416205 | + | 0.909271i | \(0.363360\pi\) | |||||||
\(548\) | 4139.01 | − | 1215.32i | 0.322645 | − | 0.0947372i | ||||
\(549\) | −792.010 | + | 1734.26i | −0.0615704 | + | 0.134820i | ||||
\(550\) | 2936.26 | + | 20422.1i | 0.227641 | + | 1.58328i | ||||
\(551\) | 8749.36 | 0.676470 | ||||||||
\(552\) | −1728.45 | − | 163.335i | −0.133275 | − | 0.0125942i | ||||
\(553\) | 328.853 | 0.0252880 | ||||||||
\(554\) | 4485.70 | + | 31198.7i | 0.344005 | + | 2.39261i | ||||
\(555\) | −803.061 | + | 1758.46i | −0.0614199 | + | 0.134491i | ||||
\(556\) | −19431.0 | + | 5705.46i | −1.48212 | + | 0.435189i | ||||
\(557\) | 14174.7 | − | 16358.5i | 1.07828 | − | 1.24440i | 0.110160 | − | 0.993914i | \(-0.464864\pi\) |
0.968120 | − | 0.250488i | \(-0.0805910\pi\) | |||||||
\(558\) | 15441.5 | + | 4534.04i | 1.17149 | + | 0.343981i | ||||
\(559\) | 1961.80 | − | 1260.77i | 0.148435 | − | 0.0953933i | ||||
\(560\) | 253.409 | + | 554.888i | 0.0191223 | + | 0.0418720i | ||||
\(561\) | −5080.15 | − | 5862.81i | −0.382325 | − | 0.441226i | ||||
\(562\) | 1811.12 | + | 1163.93i | 0.135938 | + | 0.0873622i | ||||
\(563\) | 804.654 | − | 5596.49i | 0.0602347 | − | 0.418941i | −0.937286 | − | 0.348562i | \(-0.886670\pi\) |
0.997520 | − | 0.0703792i | \(-0.0224209\pi\) | |||||||
\(564\) | 925.505 | − | 6437.03i | 0.0690972 | − | 0.480581i | ||||
\(565\) | −11112.7 | − | 7141.67i | −0.827457 | − | 0.531774i | ||||
\(566\) | 5564.81 | + | 6422.14i | 0.413263 | + | 0.476930i | ||||
\(567\) | 715.368 | + | 1566.44i | 0.0529852 | + | 0.116022i | ||||
\(568\) | −7134.86 | + | 4585.30i | −0.527064 | + | 0.338723i | ||||
\(569\) | 6465.45 | + | 1898.43i | 0.476354 | + | 0.139870i | 0.511092 | − | 0.859526i | \(-0.329241\pi\) |
−0.0347373 | + | 0.999396i | \(0.511059\pi\) | |||||||
\(570\) | −1689.09 | + | 1949.31i | −0.124120 | + | 0.143242i | ||||
\(571\) | 2374.26 | − | 697.147i | 0.174010 | − | 0.0510940i | −0.193567 | − | 0.981087i | \(-0.562006\pi\) |
0.367577 | + | 0.929993i | \(0.380187\pi\) | |||||||
\(572\) | 2937.15 | − | 6431.46i | 0.214700 | − | 0.470127i | ||||
\(573\) | 133.162 | + | 926.160i | 0.00970839 | + | 0.0675234i | ||||
\(574\) | −247.112 | −0.0179691 | ||||||||
\(575\) | −414.019 | − | 8515.49i | −0.0300275 | − | 0.617601i | ||||
\(576\) | 20306.6 | 1.46894 | ||||||||
\(577\) | 409.172 | + | 2845.85i | 0.0295218 | + | 0.205328i | 0.999244 | − | 0.0388831i | \(-0.0123800\pi\) |
−0.969722 | + | 0.244211i | \(0.921471\pi\) | |||||||
\(578\) | −10749.8 | + | 23538.7i | −0.773583 | + | 1.69391i | ||||
\(579\) | 1632.07 | − | 479.218i | 0.117144 | − | 0.0343966i | ||||
\(580\) | −6155.41 | + | 7103.72i | −0.440671 | + | 0.508562i | ||||
\(581\) | −840.408 | − | 246.766i | −0.0600103 | − | 0.0176206i | ||||
\(582\) | 3708.87 | − | 2383.55i | 0.264154 | − | 0.169762i | ||||
\(583\) | 9609.31 | + | 21041.5i | 0.682636 | + | 1.49477i | ||||
\(584\) | −5112.48 | − | 5900.12i | −0.362254 | − | 0.418063i | ||||
\(585\) | −1559.25 | − | 1002.07i | −0.110200 | − | 0.0708215i | ||||
\(586\) | 354.509 | − | 2465.67i | 0.0249909 | − | 0.173815i | ||||
\(587\) | 820.341 | − | 5705.60i | 0.0576816 | − | 0.401184i | −0.940442 | − | 0.339954i | \(-0.889589\pi\) |
0.998124 | − | 0.0612302i | \(-0.0195024\pi\) | |||||||
\(588\) | 3758.59 | + | 2415.50i | 0.263608 | + | 0.169411i | ||||
\(589\) | −6688.11 | − | 7718.49i | −0.467876 | − | 0.539957i | ||||
\(590\) | −8345.87 | − | 18274.9i | −0.582363 | − | 1.27520i | ||||
\(591\) | 1977.11 | − | 1270.61i | 0.137610 | − | 0.0884365i | ||||
\(592\) | −6932.06 | − | 2035.44i | −0.481260 | − | 0.141311i | ||||
\(593\) | −10580.2 | + | 12210.2i | −0.732677 | + | 0.845555i | −0.992770 | − | 0.120029i | \(-0.961701\pi\) |
0.260093 | + | 0.965584i | \(0.416247\pi\) | |||||||
\(594\) | −16346.0 | + | 4799.63i | −1.12910 | + | 0.331534i | ||||
\(595\) | −841.698 | + | 1843.06i | −0.0579937 | + | 0.126988i | ||||
\(596\) | −4459.55 | − | 31016.9i | −0.306494 | − | 2.13171i | ||||
\(597\) | 2224.04 | 0.152468 | ||||||||
\(598\) | −2521.44 | + | 4377.19i | −0.172424 | + | 0.299325i | ||||
\(599\) | −5962.96 | −0.406744 | −0.203372 | − | 0.979102i | \(-0.565190\pi\) | ||||
−0.203372 | + | 0.979102i | \(0.565190\pi\) | |||||||
\(600\) | 173.132 | + | 1204.16i | 0.0117801 | + | 0.0819325i | ||||
\(601\) | −3877.68 | + | 8490.93i | −0.263184 | + | 0.576293i | −0.994379 | − | 0.105875i | \(-0.966236\pi\) |
0.731195 | + | 0.682168i | \(0.238963\pi\) | |||||||
\(602\) | −2610.26 | + | 766.440i | −0.176721 | + | 0.0518900i | ||||
\(603\) | −1098.42 | + | 1267.64i | −0.0741807 | + | 0.0856091i | ||||
\(604\) | −517.333 | − | 151.903i | −0.0348510 | − | 0.0102332i | ||||
\(605\) | −14088.2 | + | 9053.93i | −0.946722 | + | 0.608421i | ||||
\(606\) | −3519.11 | − | 7705.78i | −0.235898 | − | 0.516545i | ||||
\(607\) | −14600.0 | − | 16849.3i | −0.976269 | − | 1.12667i | −0.991929 | − | 0.126797i | \(-0.959530\pi\) |
0.0156600 | − | 0.999877i | \(-0.495015\pi\) | |||||||
\(608\) | −14260.2 | − | 9164.46i | −0.951195 | − | 0.611296i | ||||
\(609\) | −60.3794 | + | 419.948i | −0.00401757 | + | 0.0279428i | ||||
\(610\) | −319.840 | + | 2224.54i | −0.0212294 | + | 0.147654i | ||||
\(611\) | −4313.65 | − | 2772.21i | −0.285616 | − | 0.183554i | ||||
\(612\) | 19109.0 | + | 22053.0i | 1.26215 | + | 1.45660i | ||||
\(613\) | −1083.79 | − | 2373.17i | −0.0714093 | − | 0.156365i | 0.870561 | − | 0.492060i | \(-0.163756\pi\) |
−0.941971 | + | 0.335696i | \(0.891029\pi\) | |||||||
\(614\) | 28661.8 | − | 18419.8i | 1.88387 | − | 1.21069i | ||||
\(615\) | −162.246 | − | 47.6397i | −0.0106380 | − | 0.00312360i | ||||
\(616\) | −1463.74 | + | 1689.25i | −0.0957401 | + | 0.110490i | ||||
\(617\) | 14314.7 | − | 4203.17i | 0.934016 | − | 0.274252i | 0.220899 | − | 0.975297i | \(-0.429101\pi\) |
0.713117 | + | 0.701045i | \(0.247283\pi\) | |||||||
\(618\) | 976.688 | − | 2138.65i | 0.0635731 | − | 0.139206i | ||||
\(619\) | 1556.61 | + | 10826.5i | 0.101075 | + | 0.702994i | 0.975846 | + | 0.218458i | \(0.0701026\pi\) |
−0.874771 | + | 0.484536i | \(0.838988\pi\) | |||||||
\(620\) | 10972.0 | 0.710720 | ||||||||
\(621\) | 6911.08 | − | 1339.04i | 0.446589 | − | 0.0865277i | ||||
\(622\) | 8648.95 | 0.557542 | ||||||||
\(623\) | −609.429 | − | 4238.67i | −0.0391914 | − | 0.272583i | ||||
\(624\) | −166.452 | + | 364.479i | −0.0106785 | + | 0.0233827i | ||||
\(625\) | −9.94338 | + | 2.91964i | −0.000636376 | + | 0.000186857i | ||||
\(626\) | 20802.2 | − | 24007.0i | 1.32815 | − | 1.53277i | ||||
\(627\) | 5040.87 | + | 1480.13i | 0.321073 | + | 0.0942756i | ||||
\(628\) | −6166.43 | + | 3962.92i | −0.391827 | + | 0.251812i | ||||
\(629\) | −9968.67 | − | 21828.3i | −0.631919 | − | 1.38371i | ||||
\(630\) | 1415.97 | + | 1634.11i | 0.0895452 | + | 0.103341i | ||||
\(631\) | −8874.15 | − | 5703.07i | −0.559864 | − | 0.359803i | 0.229899 | − | 0.973214i | \(-0.426160\pi\) |
−0.789763 | + | 0.613412i | \(0.789797\pi\) | |||||||
\(632\) | 215.307 | − | 1497.50i | 0.0135514 | − | 0.0942519i | ||||
\(633\) | 44.3262 | − | 308.296i | 0.00278327 | − | 0.0193581i | ||||
\(634\) | −1366.13 | − | 877.956i | −0.0855769 | − | 0.0549970i | ||||
\(635\) | 7526.76 | + | 8686.35i | 0.470379 | + | 0.542846i | ||||
\(636\) | 2090.82 | + | 4578.25i | 0.130356 | + | 0.285439i | ||||
\(637\) | 2963.56 | − | 1904.57i | 0.184334 | − | 0.118464i | ||||
\(638\) | 31761.9 | + | 9326.14i | 1.97095 | + | 0.578723i | ||||
\(639\) | 10943.5 | − | 12629.5i | 0.677493 | − | 0.781869i | ||||
\(640\) | 10229.4 | − | 3003.63i | 0.631802 | − | 0.185514i | ||||
\(641\) | −96.6861 | + | 211.713i | −0.00595768 | + | 0.0130455i | −0.912587 | − | 0.408882i | \(-0.865919\pi\) |
0.906630 | + | 0.421927i | \(0.138646\pi\) | |||||||
\(642\) | −816.260 | − | 5677.21i | −0.0501795 | − | 0.349006i | ||||
\(643\) | −23503.0 | −1.44148 | −0.720738 | − | 0.693207i | \(-0.756197\pi\) | ||||
−0.720738 | + | 0.693207i | \(0.756197\pi\) | |||||||
\(644\) | 2464.38 | − | 2354.41i | 0.150792 | − | 0.144063i | ||||
\(645\) | −1861.57 | −0.113642 | ||||||||
\(646\) | −4556.61 | − | 31691.9i | −0.277519 | − | 1.93019i | ||||
\(647\) | −2566.48 | + | 5619.81i | −0.155949 | + | 0.341480i | −0.971438 | − | 0.237292i | \(-0.923740\pi\) |
0.815490 | + | 0.578771i | \(0.196468\pi\) | |||||||
\(648\) | 7601.45 | − | 2231.99i | 0.460823 | − | 0.135310i | ||||
\(649\) | −26797.8 | + | 30926.3i | −1.62081 | + | 1.87051i | ||||
\(650\) | 3396.25 | + | 997.228i | 0.204941 | + | 0.0601762i | ||||
\(651\) | 416.624 | − | 267.748i | 0.0250826 | − | 0.0161196i | ||||
\(652\) | 5291.43 | + | 11586.6i | 0.317835 | + | 0.695961i | ||||
\(653\) | 6164.44 | + | 7114.14i | 0.369423 | + | 0.426337i | 0.909775 | − | 0.415103i | \(-0.136254\pi\) |
−0.540352 | + | 0.841439i | \(0.681709\pi\) | |||||||
\(654\) | −324.134 | − | 208.308i | −0.0193802 | − | 0.0124549i | ||||
\(655\) | −1237.35 | + | 8605.93i | −0.0738124 | + | 0.513376i | ||||
\(656\) | 89.9365 | − | 625.522i | 0.00535279 | − | 0.0372295i | ||||
\(657\) | 12940.7 | + | 8316.49i | 0.768440 | + | 0.493847i | ||||
\(658\) | 3917.25 | + | 4520.74i | 0.232082 | + | 0.267837i | ||||
\(659\) | 1758.54 | + | 3850.67i | 0.103950 | + | 0.227619i | 0.954459 | − | 0.298341i | \(-0.0964334\pi\) |
−0.850509 | + | 0.525960i | \(0.823706\pi\) | |||||||
\(660\) | −4748.13 | + | 3051.43i | −0.280031 | + | 0.179965i | ||||
\(661\) | 30506.7 | + | 8957.56i | 1.79512 | + | 0.527094i | 0.997139 | − | 0.0755941i | \(-0.0240853\pi\) |
0.797977 | + | 0.602688i | \(0.205904\pi\) | |||||||
\(662\) | −12757.4 | + | 14722.8i | −0.748989 | + | 0.864380i | ||||
\(663\) | −1276.97 | + | 374.954i | −0.0748018 | + | 0.0219638i | ||||
\(664\) | −1673.93 | + | 3665.40i | −0.0978331 | + | 0.214225i | ||||
\(665\) | −195.281 | − | 1358.21i | −0.0113875 | − | 0.0792017i | ||||
\(666\) | −25608.6 | −1.48996 | ||||||||
\(667\) | −12703.8 | − | 5071.37i | −0.737470 | − | 0.294399i | ||||
\(668\) | −40486.6 | −2.34502 | ||||||||
\(669\) | −428.296 | − | 2978.87i | −0.0247517 | − | 0.172152i | ||||
\(670\) | −821.361 | + | 1798.53i | −0.0473611 | + | 0.103706i | ||||
\(671\) | 4392.22 | − | 1289.67i | 0.252697 | − | 0.0741986i | ||||
\(672\) | 538.282 | − | 621.211i | 0.0308998 | − | 0.0356603i | ||||
\(673\) | 5876.09 | + | 1725.38i | 0.336563 | + | 0.0988237i | 0.445647 | − | 0.895209i | \(-0.352974\pi\) |
−0.109084 | + | 0.994033i | \(0.534792\pi\) | |||||||
\(674\) | 2625.54 | − | 1687.33i | 0.150048 | − | 0.0964298i | ||||
\(675\) | −2049.13 | − | 4486.97i | −0.116846 | − | 0.255857i | ||||
\(676\) | 14994.0 | + | 17304.0i | 0.853097 | + | 0.984526i | ||||
\(677\) | −15197.5 | − | 9766.85i | −0.862759 | − | 0.554462i | 0.0327707 | − | 0.999463i | \(-0.489567\pi\) |
−0.895530 | + | 0.445001i | \(0.853203\pi\) | |||||||
\(678\) | −1440.53 | + | 10019.1i | −0.0815976 | + | 0.567524i | ||||
\(679\) | −333.789 | + | 2321.55i | −0.0188654 | + | 0.131212i | ||||
\(680\) | 7841.67 | + | 5039.53i | 0.442227 | + | 0.284202i | ||||
\(681\) | −979.813 | − | 1130.76i | −0.0551344 | − | 0.0636285i | ||||
\(682\) | −16051.8 | − | 35148.6i | −0.901257 | − | 1.97348i | ||||
\(683\) | 1076.67 | − | 691.931i | 0.0603184 | − | 0.0387643i | −0.510134 | − | 0.860095i | \(-0.670404\pi\) |
0.570452 | + | 0.821331i | \(0.306768\pi\) | |||||||
\(684\) | −18961.3 | − | 5567.53i | −1.05994 | − | 0.311228i | ||||
\(685\) | −1778.05 | + | 2051.98i | −0.0991763 | + | 0.114456i | ||||
\(686\) | −7979.60 | + | 2343.02i | −0.444114 | + | 0.130404i | ||||
\(687\) | −730.998 | + | 1600.66i | −0.0405958 | + | 0.0888924i | ||||
\(688\) | −990.109 | − | 6886.36i | −0.0548656 | − | 0.381599i | ||||
\(689\) | 3968.47 | 0.219429 | ||||||||
\(690\) | 3582.38 | − | 1851.30i | 0.197650 | − | 0.102142i | ||||
\(691\) | −5556.99 | −0.305930 | −0.152965 | − | 0.988232i | \(-0.548882\pi\) | ||||
−0.152965 | + | 0.988232i | \(0.548882\pi\) | |||||||
\(692\) | 339.217 | + | 2359.31i | 0.0186346 | + | 0.129606i | ||||
\(693\) | 1829.56 | − | 4006.18i | 0.100287 | − | 0.219599i | ||||
\(694\) | 20907.0 | − | 6138.86i | 1.14355 | − | 0.335775i | ||||
\(695\) | 8347.24 | − | 9633.22i | 0.455581 | − | 0.525768i | ||||
\(696\) | 1872.79 | + | 549.900i | 0.101994 | + | 0.0299481i | ||||
\(697\) | 1765.82 | − | 1134.83i | 0.0959617 | − | 0.0616708i | ||||
\(698\) | 16861.8 | + | 36922.1i | 0.914366 | + | 2.00218i | ||||
\(699\) | −2641.55 | − | 3048.52i | −0.142937 | − | 0.164958i | ||||
\(700\) | −2009.10 | − | 1291.17i | −0.108481 | − | 0.0697167i | ||||
\(701\) | −4547.16 | + | 31626.2i | −0.244999 | + | 1.70400i | 0.381327 | + | 0.924440i | \(0.375467\pi\) |
−0.626325 | + | 0.779562i | \(0.715442\pi\) | |||||||
\(702\) | −415.943 | + | 2892.94i | −0.0223629 | + | 0.155537i | ||||
\(703\) | 13671.6 | + | 8786.17i | 0.733474 | + | 0.471375i | ||||
\(704\) | −31928.7 | − | 36847.6i | −1.70931 | − | 1.97265i | ||||
\(705\) | 1700.40 | + | 3723.36i | 0.0908380 | + | 0.198908i | ||||
\(706\) | −9886.71 | + | 6353.80i | −0.527041 | + | 0.338709i | ||||
\(707\) | 4324.14 | + | 1269.68i | 0.230022 | + | 0.0675407i | ||||
\(708\) | −5830.72 | + | 6729.01i | −0.309509 | + | 0.357192i | ||||
\(709\) | 3403.80 | − | 999.445i | 0.180299 | − | 0.0529407i | −0.190337 | − | 0.981719i | \(-0.560958\pi\) |
0.370636 | + | 0.928778i | \(0.379140\pi\) | |||||||
\(710\) | 8183.21 | − | 17918.7i | 0.432550 | − | 0.947152i | ||||
\(711\) | 424.236 | + | 2950.63i | 0.0223771 | + | 0.155636i | ||||
\(712\) | −19700.7 | −1.03696 | ||||||||
\(713\) | 5237.07 | + | 15083.6i | 0.275077 | + | 0.792266i | ||||
\(714\) | 1552.58 | 0.0813781 | ||||||||
\(715\) | 633.336 | + | 4404.95i | 0.0331265 | + | 0.230400i | ||||
\(716\) | −5505.56 | + | 12055.5i | −0.287364 | + | 0.629239i | ||||
\(717\) | −2209.82 | + | 648.861i | −0.115101 | + | 0.0337966i | ||||
\(718\) | 28084.1 | − | 32410.7i | 1.45973 | − | 1.68462i | ||||
\(719\) | −24182.3 | − | 7100.56i | −1.25431 | − | 0.368298i | −0.413934 | − | 0.910307i | \(-0.635846\pi\) |
−0.840373 | + | 0.542009i | \(0.817664\pi\) | |||||||
\(720\) | −4651.82 | + | 2989.54i | −0.240782 | + | 0.154741i | ||||
\(721\) | 519.592 | + | 1137.75i | 0.0268386 | + | 0.0587683i | ||||
\(722\) | −5365.71 | − | 6192.36i | −0.276580 | − | 0.319191i | ||||
\(723\) | 6697.29 | + | 4304.09i | 0.344502 | + | 0.221398i | ||||
\(724\) | −3825.79 | + | 26609.0i | −0.196387 | + | 1.36590i | ||||
\(725\) | −1364.05 | + | 9487.21i | −0.0698755 | + | 0.485995i | ||||
\(726\) | 10795.3 | + | 6937.74i | 0.551863 | + | 0.354661i | ||||
\(727\) | 13871.5 | + | 16008.5i | 0.707654 | + | 0.816677i | 0.989765 | − | 0.142705i | \(-0.0455800\pi\) |
−0.282111 | + | 0.959382i | \(0.591035\pi\) | |||||||
\(728\) | 159.298 | + | 348.815i | 0.00810987 | + | 0.0177581i | ||||
\(729\) | −11370.6 | + | 7307.45i | −0.577687 | + | 0.371257i | ||||
\(730\) | 17398.3 | + | 5108.61i | 0.882111 | + | 0.259011i | ||||
\(731\) | 15132.7 | − | 17464.0i | 0.765667 | − | 0.883627i | ||||
\(732\) | 955.671 | − | 280.610i | 0.0482549 | − | 0.0141689i | ||||
\(733\) | 7254.65 | − | 15885.5i | 0.365562 | − | 0.800469i | −0.634069 | − | 0.773277i | \(-0.718616\pi\) |
0.999630 | − | 0.0271917i | \(-0.00865644\pi\) | |||||||
\(734\) | −380.755 | − | 2648.21i | −0.0191470 | − | 0.133170i | ||||
\(735\) | −2812.15 | −0.141126 | ||||||||
\(736\) | 15393.4 | + | 21572.1i | 0.770933 | + | 1.08038i | ||||
\(737\) | 4027.28 | 0.201285 | ||||||||
\(738\) | −318.787 | − | 2217.21i | −0.0159007 | − | 0.110592i | ||||
\(739\) | 9342.13 | − | 20456.4i | 0.465028 | − | 1.01827i | −0.521285 | − | 0.853383i | \(-0.674547\pi\) |
0.986313 | − | 0.164886i | \(-0.0527258\pi\) | |||||||
\(740\) | −16751.9 | + | 4918.81i | −0.832179 | + | 0.244350i | ||||
\(741\) | 590.236 | − | 681.168i | 0.0292616 | − | 0.0337697i | ||||
\(742\) | −4442.01 | − | 1304.29i | −0.219772 | − | 0.0645310i | ||||
\(743\) | 20007.6 | − | 12858.1i | 0.987897 | − | 0.634883i | 0.0563149 | − | 0.998413i | \(-0.482065\pi\) |
0.931583 | + | 0.363530i | \(0.118429\pi\) | |||||||
\(744\) | −946.470 | − | 2072.48i | −0.0466388 | − | 0.102125i | ||||
\(745\) | 12916.1 | + | 14906.0i | 0.635179 | + | 0.733036i | ||||
\(746\) | 21769.7 | + | 13990.5i | 1.06843 | + | 0.686635i | ||||
\(747\) | 1129.94 | − | 7858.89i | 0.0553444 | − | 0.384929i | ||||
\(748\) | 9970.89 | − | 69349.1i | 0.487396 | − | 3.38991i | ||||
\(749\) | 2566.92 | + | 1649.66i | 0.125224 | + | 0.0804769i | ||||
\(750\) | −4842.89 | − | 5588.99i | −0.235783 | − | 0.272108i | ||||
\(751\) | −4880.10 | − | 10685.9i | −0.237121 | − | 0.519222i | 0.753238 | − | 0.657748i | \(-0.228491\pi\) |
−0.990359 | + | 0.138526i | \(0.955763\pi\) | |||||||
\(752\) | −12869.2 | + | 8270.51i | −0.624056 | + | 0.401057i | ||||
\(753\) | 6040.97 | + | 1773.79i | 0.292358 | + | 0.0858439i | ||||
\(754\) | 3719.00 | − | 4291.96i | 0.179626 | − | 0.207300i | ||||
\(755\) | 325.620 | − | 95.6106i | 0.0156960 | − | 0.00460878i | ||||
\(756\) | 819.187 | − | 1793.77i | 0.0394094 | − | 0.0862946i | ||||
\(757\) | −5223.48 | − | 36330.1i | −0.250793 | − | 1.74431i | −0.593472 | − | 0.804854i | \(-0.702243\pi\) |
0.342679 | − | 0.939453i | \(-0.388666\pi\) | |||||||
\(758\) | −40987.1 | −1.96401 | ||||||||
\(759\) | −6461.25 | − | 5070.93i | −0.308997 | − | 0.242507i | ||||
\(760\) | −6312.73 | −0.301299 | ||||||||
\(761\) | 4106.15 | + | 28558.9i | 0.195595 | + | 1.36039i | 0.816880 | + | 0.576808i | \(0.195702\pi\) |
−0.621285 | + | 0.783585i | \(0.713389\pi\) | |||||||
\(762\) | 3658.66 | − | 8011.35i | 0.173936 | − | 0.380867i | ||||
\(763\) | 196.674 | − | 57.7486i | 0.00933166 | − | 0.00274002i | ||||
\(764\) | −5533.94 | + | 6386.50i | −0.262056 | + | 0.302429i | ||||
\(765\) | −17622.7 | − | 5174.48i | −0.832874 | − | 0.244554i | ||||
\(766\) | 43602.8 | − | 28021.8i | 2.05670 | − | 1.32176i | ||||
\(767\) | 2916.38 | + | 6385.99i | 0.137294 | + | 0.300632i | ||||
\(768\) | −285.322 | − | 329.279i | −0.0134058 | − | 0.0154711i | ||||
\(769\) | 8871.33 | + | 5701.25i | 0.416005 | + | 0.267350i | 0.731857 | − | 0.681458i | \(-0.238654\pi\) |
−0.315852 | + | 0.948809i | \(0.602290\pi\) | |||||||
\(770\) | 738.837 | − | 5138.73i | 0.0345790 | − | 0.240502i | ||||
\(771\) | 1018.49 | − | 7083.77i | 0.0475747 | − | 0.330889i | ||||
\(772\) | 12923.5 | + | 8305.41i | 0.602494 | + | 0.387200i | ||||
\(773\) | −13907.5 | − | 16050.1i | −0.647111 | − | 0.746806i | 0.333504 | − | 0.942749i | \(-0.391769\pi\) |
−0.980615 | + | 0.195943i | \(0.937223\pi\) | |||||||
\(774\) | −10244.2 | − | 22431.7i | −0.475738 | − | 1.04172i | ||||
\(775\) | 9412.10 | − | 6048.79i | 0.436249 | − | 0.280360i | ||||
\(776\) | 10353.1 | + | 3039.95i | 0.478937 | + | 0.140629i | ||||
\(777\) | −516.063 | + | 595.569i | −0.0238271 | + | 0.0274979i | ||||
\(778\) | −49147.3 | + | 14430.9i | −2.26480 | + | 0.665006i | ||||
\(779\) | −590.525 | + | 1293.07i | −0.0271602 | + | 0.0594724i | ||||
\(780\) | 137.803 | + | 958.440i | 0.00632581 | + | 0.0439970i | ||||
\(781\) | −40123.8 | −1.83834 | ||||||||
\(782\) | −11753.5 | + | 48656.8i | −0.537472 | + | 2.22502i | ||||
\(783\) | −7914.21 | −0.361214 | ||||||||
\(784\) | −1495.70 | − | 10402.8i | −0.0681348 | − | 0.473888i | ||||
\(785\) | 1916.59 | − | 4196.75i | 0.0871415 | − | 0.190813i | ||||
\(786\) | 6392.39 | − | 1876.98i | 0.290088 | − | 0.0851775i | ||||
\(787\) | −15064.6 | + | 17385.5i | −0.682334 | + | 0.787455i | −0.986253 | − | 0.165243i | \(-0.947159\pi\) |
0.303919 | + | 0.952698i | \(0.401705\pi\) | |||||||
\(788\) | 20365.8 | + | 5979.95i | 0.920688 | + | 0.270338i | ||||
\(789\) | −3438.05 | + | 2209.50i | −0.155131 | + | 0.0996963i | ||||
\(790\) | 1459.73 | + | 3196.37i | 0.0657405 | + | 0.143952i | ||||
\(791\) | −3526.36 | − | 4069.64i | −0.158512 | − | 0.182933i | ||||
\(792\) | −17045.1 | − | 10954.2i | −0.764735 | − | 0.491465i | ||||
\(793\) | 111.765 | − | 777.343i | 0.00500491 | − | 0.0348099i | ||||
\(794\) | −6727.90 | + | 46793.6i | −0.300711 | + | 2.09149i | ||||
\(795\) | −2665.03 | − | 1712.71i | −0.118891 | − | 0.0764069i | ||||
\(796\) | 13153.7 | + | 15180.1i | 0.585703 | + | 0.675937i | ||||
\(797\) | 10990.5 | + | 24065.9i | 0.488463 | + | 1.06958i | 0.980049 | + | 0.198755i | \(0.0636899\pi\) |
−0.491587 | + | 0.870829i | \(0.663583\pi\) | |||||||
\(798\) | −884.540 | + | 568.460i | −0.0392386 | + | 0.0252171i | ||||
\(799\) | −48752.8 | − | 14315.1i | −2.15864 | − | 0.633833i | ||||
\(800\) | 12160.5 | − | 14034.0i | 0.537425 | − | 0.620221i | ||||
\(801\) | 37245.3 | − | 10936.2i | 1.64294 | − | 0.482411i | ||||
\(802\) | −2493.74 | + | 5460.52i | −0.109797 | + | 0.240421i | ||||
\(803\) | −5256.25 | − | 36558.0i | −0.230995 | − | 1.60661i | ||||
\(804\) | 876.266 | 0.0384372 | ||||||||
\(805\) | −503.714 | + | 2085.27i | −0.0220541 | + | 0.0912994i | ||||
\(806\) | −6629.12 | −0.289703 | ||||||||
\(807\) | −154.616 | − | 1075.37i | −0.00674439 | − | 0.0469083i | ||||
\(808\) | 8612.86 | − | 18859.5i | 0.374999 | − | 0.821133i | ||||
\(809\) | 30136.3 | − | 8848.83i | 1.30969 | − | 0.384559i | 0.448927 | − | 0.893568i | \(-0.351806\pi\) |
0.860761 | + | 0.509009i | \(0.169988\pi\) | |||||||
\(810\) | −12050.0 | + | 13906.4i | −0.522708 | + | 0.603237i | ||||
\(811\) | 1263.36 | + | 370.956i | 0.0547011 | + | 0.0160617i | 0.308969 | − | 0.951072i | \(-0.400016\pi\) |
−0.254268 | + | 0.967134i | \(0.581834\pi\) | |||||||
\(812\) | −3223.46 | + | 2071.59i | −0.139312 | + | 0.0895303i | ||||
\(813\) | −2792.46 | − | 6114.64i | −0.120462 | − | 0.263776i | ||||
\(814\) | 40265.1 | + | 46468.4i | 1.73377 | + | 2.00088i | ||||
\(815\) | −6744.63 | − | 4334.51i | −0.289882 | − | 0.186296i | ||||
\(816\) | −565.062 | + | 3930.10i | −0.0242416 | + | 0.168604i | ||||
\(817\) | −2227.17 | + | 15490.3i | −0.0953718 | + | 0.663326i | ||||
\(818\) | 43888.8 | + | 28205.6i | 1.87596 | + | 1.20561i | ||||
\(819\) | −494.796 | − | 571.025i | −0.0211106 | − | 0.0243629i | ||||
\(820\) | −634.410 | − | 1389.16i | −0.0270178 | − | 0.0591606i | ||||
\(821\) | −13629.2 | + | 8758.93i | −0.579368 | + | 0.372337i | −0.797260 | − | 0.603636i | \(-0.793718\pi\) |
0.217892 | + | 0.975973i | \(0.430082\pi\) | |||||||
\(822\) | 1996.26 | + | 586.155i | 0.0847051 | + | 0.0248717i | ||||
\(823\) | −9120.69 | + | 10525.8i | −0.386303 | + | 0.445817i | −0.915280 | − | 0.402819i | \(-0.868030\pi\) |
0.528977 | + | 0.848636i | \(0.322576\pi\) | |||||||
\(824\) | 5521.15 | − | 1621.16i | 0.233420 | − | 0.0685384i | ||||
\(825\) | −2390.84 | + | 5235.22i | −0.100895 | + | 0.220930i | ||||
\(826\) | −1165.54 | − | 8106.51i | −0.0490972 | − | 0.341479i | ||||
\(827\) | −12580.4 | −0.528974 | −0.264487 | − | 0.964389i | \(-0.585203\pi\) | ||||
−0.264487 | + | 0.964389i | \(0.585203\pi\) | |||||||
\(828\) | 24304.0 | + | 19074.3i | 1.02008 | + | 0.800579i | ||||
\(829\) | 12109.2 | 0.507321 | 0.253660 | − | 0.967293i | \(-0.418365\pi\) | ||||
0.253660 | + | 0.967293i | \(0.418365\pi\) | |||||||
\(830\) | −1331.95 | − | 9263.93i | −0.0557021 | − | 0.387417i | ||||
\(831\) | −3652.47 | + | 7997.79i | −0.152470 | + | 0.333863i | ||||
\(832\) | −8025.77 | + | 2356.58i | −0.334427 | + | 0.0981967i | ||||
\(833\) | 22860.0 | − | 26381.8i | 0.950843 | − | 1.09733i | ||||
\(834\) | −9371.66 | − | 2751.77i | −0.389105 | − | 0.114252i | ||||
\(835\) | 21437.7 | − | 13777.2i | 0.888483 | − | 0.570994i | ||||
\(836\) | 19710.7 | + | 43160.4i | 0.815441 | + | 1.78557i | ||||
\(837\) | 6049.71 | + | 6981.74i | 0.249831 | + | 0.288320i | ||||
\(838\) | −21895.3 | − | 14071.3i | −0.902580 | − | 0.580053i | ||||
\(839\) | −2918.16 | + | 20296.2i | −0.120079 | + | 0.835165i | 0.837385 | + | 0.546613i | \(0.184083\pi\) |
−0.957464 | + | 0.288552i | \(0.906826\pi\) | |||||||
\(840\) | 43.5643 | − | 302.996i | 0.00178942 | − | 0.0124457i | ||||
\(841\) | −7580.48 | − | 4871.68i | −0.310815 | − | 0.199749i | ||||
\(842\) | −25878.4 | − | 29865.3i | −1.05918 | − | 1.22236i | ||||
\(843\) | 249.474 | + | 546.273i | 0.0101926 | + | 0.0223187i | ||||
\(844\) | 2366.43 | − | 1520.81i | 0.0965117 | − | 0.0620243i | ||||
\(845\) | −13827.8 | − | 4060.20i | −0.562946 | − | 0.165296i | ||||
\(846\) | −35508.9 | + | 40979.4i | −1.44305 | + | 1.66537i | ||||
\(847\) | −6550.25 | + | 1923.33i | −0.265725 | + | 0.0780239i | ||||
\(848\) | 4918.25 | − | 10769.5i | 0.199167 | − | 0.436115i | ||||
\(849\) | 337.347 | + | 2346.30i | 0.0136369 | + | 0.0948466i | ||||
\(850\) | 35075.0 | 1.41537 | ||||||||
\(851\) | −14757.9 | − | 20681.7i | −0.594472 | − | 0.833088i | ||||
\(852\) | −8730.23 | −0.351048 | ||||||||
\(853\) | 2649.27 | + | 18426.1i | 0.106342 | + | 0.739623i | 0.971314 | + | 0.237802i | \(0.0764270\pi\) |
−0.864972 | + | 0.501820i | \(0.832664\pi\) | |||||||
\(854\) | −380.585 | + | 833.366i | −0.0152498 | + | 0.0333925i | ||||
\(855\) | 11934.6 | − | 3504.31i | 0.477374 | − | 0.140170i | ||||
\(856\) | 9192.66 | − | 10608.9i | 0.367055 | − | 0.423604i | ||||
\(857\) | −17115.0 | − | 5025.42i | −0.682191 | − | 0.200309i | −0.0777665 | − | 0.996972i | \(-0.524779\pi\) |
−0.604425 | + | 0.796662i | \(0.706597\pi\) | |||||||
\(858\) | 2868.75 | − | 1843.63i | 0.114146 | − | 0.0733572i | ||||
\(859\) | 13497.3 | + | 29554.9i | 0.536112 | + | 1.17392i | 0.962971 | + | 0.269604i | \(0.0868929\pi\) |
−0.426859 | + | 0.904318i | \(0.640380\pi\) | |||||||
\(860\) | −11009.9 | − | 12706.1i | −0.436552 | − | 0.503808i | ||||
\(861\) | −57.9890 | − | 37.2673i | −0.00229531 | − | 0.00147511i | ||||
\(862\) | 418.393 | − | 2909.99i | 0.0165319 | − | 0.114982i | ||||
\(863\) | 6769.14 | − | 47080.4i | 0.267004 | − | 1.85705i | −0.209406 | − | 0.977829i | \(-0.567153\pi\) |
0.476410 | − | 0.879223i | \(-0.341938\pi\) | |||||||
\(864\) | 12899.0 | + | 8289.69i | 0.507909 | + | 0.326413i | ||||
\(865\) | −982.466 | − | 1133.83i | −0.0386183 | − | 0.0445679i | ||||
\(866\) | −1739.44 | − | 3808.85i | −0.0682548 | − | 0.149457i | ||||
\(867\) | −6072.50 | + | 3902.56i | −0.237870 | + | 0.152870i | ||||
\(868\) | 4291.56 | + | 1260.12i | 0.167817 | + | 0.0492755i | ||||
\(869\) | 4687.06 | − | 5409.16i | 0.182966 | − | 0.211154i | ||||
\(870\) | −4349.82 | + | 1277.22i | −0.169509 | + | 0.0497723i | ||||
\(871\) | 287.017 | − | 628.479i | 0.0111655 | − | 0.0244491i | ||||
\(872\) | −134.203 | − | 933.402i | −0.00521179 | − | 0.0362488i | ||||
\(873\) | −21260.7 | −0.824244 | ||||||||
\(874\) | −11118.9 | − | 32024.2i | −0.430323 | − | 1.23940i | ||||
\(875\) | 3934.25 | 0.152002 | ||||||||
\(876\) | −1143.67 | − | 7954.38i | −0.0441107 | − | 0.306796i | ||||
\(877\) | −5317.83 | + | 11644.4i | −0.204755 | + | 0.448351i | −0.983953 | − | 0.178426i | \(-0.942899\pi\) |
0.779198 | + | 0.626778i | \(0.215627\pi\) | |||||||
\(878\) | −53066.9 | + | 15581.8i | −2.03977 | + | 0.598931i | ||||
\(879\) | 455.042 | − | 525.146i | 0.0174609 | − | 0.0201510i | ||||
\(880\) | 12738.9 | + | 3740.48i | 0.487986 | + | 0.143286i | ||||
\(881\) | −29324.4 | + | 18845.7i | −1.12141 | + | 0.720689i | −0.963751 | − | 0.266804i | \(-0.914032\pi\) |
−0.157663 | + | 0.987493i | \(0.550396\pi\) | |||||||
\(882\) | −15475.3 | − | 33886.2i | −0.590795 | − | 1.29366i | ||||
\(883\) | −10317.7 | − | 11907.3i | −0.393226 | − | 0.453807i | 0.524270 | − | 0.851552i | \(-0.324338\pi\) |
−0.917496 | + | 0.397745i | \(0.869793\pi\) | |||||||
\(884\) | −10111.7 | − | 6498.39i | −0.384720 | − | 0.247245i | ||||
\(885\) | 797.562 | − | 5547.16i | 0.0302935 | − | 0.210696i | ||||
\(886\) | 1973.16 | − | 13723.7i | 0.0748191 | − | 0.520378i | ||||
\(887\) | −18372.3 | − | 11807.2i | −0.695470 | − | 0.446951i | 0.144557 | − | 0.989496i | \(-0.453824\pi\) |
−0.840027 | + | 0.542545i | \(0.817461\pi\) | |||||||
\(888\) | 2374.16 | + | 2739.93i | 0.0897203 | + | 0.103543i | ||||
\(889\) | 1946.39 | + | 4261.99i | 0.0734304 | + | 0.160790i | ||||
\(890\) | 38493.8 | − | 24738.4i | 1.44979 | − | 0.931724i | ||||
\(891\) | 35961.6 | + | 10559.3i | 1.35214 | + | 0.397025i | ||||
\(892\) | 17799.1 | − | 20541.3i | 0.668116 | − | 0.771047i | ||||
\(893\) | 33016.8 | − | 9694.62i | 1.23725 | − | 0.363290i | ||||
\(894\) | 6278.34 | − | 13747.6i | 0.234876 | − | 0.514307i | ||||
\(895\) | −1187.16 | − | 8256.89i | −0.0443379 | − | 0.308377i | ||||
\(896\) | 4346.07 | 0.162045 | ||||||||
\(897\) | −1251.83 | + | 646.918i | −0.0465968 | + | 0.0240802i | ||||
\(898\) | −37132.4 | −1.37987 | ||||||||
\(899\) | −2554.64 | − | 17767.9i | −0.0947743 | − | 0.659170i | ||||
\(900\) | 8993.18 | − | 19692.3i | 0.333081 | − | 0.729345i | ||||
\(901\) | 37731.6 | − | 11079.0i | 1.39514 | − | 0.409650i | ||||
\(902\) | −3522.04 | + | 4064.65i | −0.130012 | + | 0.150042i | ||||
\(903\) | −728.128 | − | 213.798i | −0.0268334 | − | 0.00787900i | ||||
\(904\) | −20840.7 | + | 13393.5i | −0.766761 | + | 0.492767i | ||||
\(905\) | −7029.00 | − | 15391.4i | −0.258179 | − | 0.565333i | ||||
\(906\) | −170.294 | − | 196.529i | −0.00624463 | − | 0.00720668i | ||||
\(907\) | 38345.3 | + | 24643.1i | 1.40379 | + | 0.902160i | 0.999920 | − | 0.0126571i | \(-0.00402898\pi\) |
0.403868 | + | 0.914817i | \(0.367665\pi\) | |||||||
\(908\) | 1923.10 | − | 13375.4i | 0.0702865 | − | 0.488853i | ||||
\(909\) | −5813.85 | + | 40436.2i | −0.212138 | + | 1.47545i | ||||
\(910\) | −749.270 | − | 481.527i | −0.0272946 | − | 0.0175412i | ||||
\(911\) | 19964.9 | + | 23040.7i | 0.726089 | + | 0.837951i | 0.992025 | − | 0.126039i | \(-0.0402266\pi\) |
−0.265936 | + | 0.963991i | \(0.585681\pi\) | |||||||
\(912\) | −1117.03 | − | 2445.95i | −0.0405576 | − | 0.0888087i | ||||
\(913\) | −16037.1 | + | 10306.4i | −0.581326 | + | 0.373595i | ||||
\(914\) | −11678.4 | − | 3429.08i | −0.422632 | − | 0.124096i | ||||
\(915\) | −410.541 | + | 473.789i | −0.0148328 | + | 0.0171180i | ||||
\(916\) | −15248.7 | + | 4477.41i | −0.550033 | + | 0.161504i | ||||
\(917\) | −1472.35 | + | 3223.99i | −0.0530220 | + | 0.116102i | ||||
\(918\) | 4121.67 | + | 28666.9i | 0.148187 | + | 1.03066i | ||||
\(919\) | 50947.9 | 1.82875 | 0.914373 | − | 0.404874i | \(-0.132685\pi\) | ||||
0.914373 | + | 0.404874i | \(0.132685\pi\) | |||||||
\(920\) | 9165.89 | + | 3659.04i | 0.328468 | + | 0.131125i | ||||
\(921\) | 9503.88 | 0.340025 | ||||||||
\(922\) | −2631.20 | − | 18300.4i | −0.0939847 | − | 0.653678i | ||||
\(923\) | −2859.54 | + | 6261.53i | −0.101975 | + | 0.223294i | ||||
\(924\) | −2207.62 | + | 648.216i | −0.0785989 | + | 0.0230787i | ||||
\(925\) | −11658.6 | + | 13454.7i | −0.414412 | + | 0.478257i | ||||
\(926\) | 34038.3 | + | 9994.55i | 1.20796 | + | 0.354688i | ||||
\(927\) | −9538.13 | + | 6129.78i | −0.337943 | + | 0.217183i | ||||
\(928\) | −12376.7 | − | 27101.3i | −0.437808 | − | 0.958667i | ||||
\(929\) | −28151.2 | − | 32488.3i | −0.994200 | − | 1.14737i | −0.989080 | − | 0.147381i | \(-0.952916\pi\) |
−0.00512030 | − | 0.999987i | \(-0.501630\pi\) | |||||||
\(930\) | 4451.79 | + | 2860.99i | 0.156968 | + | 0.100877i | ||||
\(931\) | −3364.44 | + | 23400.2i | −0.118437 | + | 0.823750i | ||||
\(932\) | 5184.62 | − | 36059.8i | 0.182219 | − | 1.26736i | ||||
\(933\) | 2029.62 | + | 1304.36i | 0.0712184 | + | 0.0457693i | ||||
\(934\) | 25933.4 | + | 29928.7i | 0.908530 | + | 1.04850i | ||||
\(935\) | 18319.2 | + | 40113.4i | 0.640751 | + | 1.40305i | ||||
\(936\) | −2924.23 | + | 1879.29i | −0.102117 | + | 0.0656266i | ||||
\(937\) | 29488.6 | + | 8658.62i | 1.02812 | + | 0.301883i | 0.751946 | − | 0.659224i | \(-0.229115\pi\) |
0.276174 | + | 0.961108i | \(0.410933\pi\) | |||||||
\(938\) | −527.823 | + | 609.140i | −0.0183732 | + | 0.0212038i | ||||
\(939\) | 8502.11 | − | 2496.44i | 0.295480 | − | 0.0867608i | ||||
\(940\) | −15357.0 | + | 33627.2i | −0.532863 | + | 1.16681i | ||||
\(941\) | −1929.58 | − | 13420.5i | −0.0668465 | − | 0.464927i | −0.995560 | − | 0.0941293i | \(-0.969993\pi\) |
0.928714 | − | 0.370798i | \(-0.120916\pi\) | |||||||
\(942\) | −3535.31 | −0.122279 | ||||||||
\(943\) | 1606.92 | − | 1535.21i | 0.0554916 | − | 0.0530152i | ||||
\(944\) | 20944.4 | 0.722122 | ||||||||
\(945\) | 176.641 | + | 1228.56i | 0.00608056 | + | 0.0422912i | ||||
\(946\) | −24596.5 | + | 53858.9i | −0.845351 | + | 1.85106i | ||||
\(947\) | −33760.4 | + | 9912.94i | −1.15846 | + | 0.340155i | −0.803835 | − | 0.594852i | \(-0.797211\pi\) |
−0.354628 | + | 0.935008i | \(0.615392\pi\) | |||||||
\(948\) | 1019.82 | − | 1176.94i | 0.0349391 | − | 0.0403219i | ||||
\(949\) | −6079.68 | − | 1785.15i | −0.207961 | − | 0.0610627i | ||||
\(950\) | −19983.0 | + | 12842.3i | −0.682456 | + | 0.438588i | ||||
\(951\) | −188.179 | − | 412.054i | −0.00641652 | − | 0.0140502i | ||||
\(952\) | 2488.39 | + | 2871.75i | 0.0847154 | + | 0.0977668i | ||||
\(953\) | −2667.72 | − | 1714.44i | −0.0906777 | − | 0.0582750i | 0.494516 | − | 0.869168i | \(-0.335345\pi\) |
−0.585194 | + | 0.810893i | \(0.698982\pi\) | |||||||
\(954\) | 5972.32 | − | 41538.4i | 0.202685 | − | 1.40970i | ||||
\(955\) | 756.965 | − | 5264.81i | 0.0256490 | − | 0.178393i | ||||
\(956\) | −17498.4 | − | 11245.5i | −0.591985 | − | 0.380446i | ||||
\(957\) | 6046.98 | + | 6978.58i | 0.204254 | + | 0.235722i | ||||
\(958\) | −28578.4 | − | 62577.9i | −0.963805 | − | 2.11044i | ||||
\(959\) | −931.127 | + | 598.399i | −0.0313531 | + | 0.0201494i | ||||
\(960\) | 6406.75 | + | 1881.19i | 0.215393 | + | 0.0632450i | ||||
\(961\) | 5787.28 | − | 6678.88i | 0.194263 | − | 0.224191i | ||||
\(962\) | 10121.3 | − | 2971.87i | 0.339212 | − | 0.0996017i | ||||
\(963\) | −11490.1 | + | 25159.8i | −0.384489 | + | 0.841913i | ||||
\(964\) | 10232.4 | + | 71168.1i | 0.341872 | + | 2.37777i | ||||
\(965\) | −9669.25 | −0.322553 | ||||||||
\(966\) | 1613.82 | − | 312.681i | 0.0537513 | − | 0.0104144i | ||||
\(967\) | −7514.18 | −0.249886 | −0.124943 | − | 0.992164i | \(-0.539875\pi\) | ||||
−0.124943 | + | 0.992164i | \(0.539875\pi\) | |||||||
\(968\) | 4469.65 | + | 31087.1i | 0.148409 | + | 1.03221i | ||||
\(969\) | 3710.21 | − | 8124.23i | 0.123002 | − | 0.269337i | ||||
\(970\) | −24046.6 | + | 7060.71i | −0.795968 | + | 0.233717i | ||||
\(971\) | −14442.7 | + | 16667.7i | −0.477330 | + | 0.550868i | −0.942436 | − | 0.334387i | \(-0.891471\pi\) |
0.465106 | + | 0.885255i | \(0.346016\pi\) | |||||||
\(972\) | 25968.1 | + | 7624.92i | 0.856921 | + | 0.251615i | ||||
\(973\) | 4371.27 | − | 2809.25i | 0.144025 | − | 0.0925594i | ||||
\(974\) | −22044.2 | − | 48270.0i | −0.725196 | − | 1.58796i | ||||
\(975\) | 646.593 | + | 746.208i | 0.0212385 | + | 0.0245105i | ||||
\(976\) | −1971.01 | − | 1266.69i | −0.0646418 | − | 0.0415428i | ||||
\(977\) | −399.951 | + | 2781.72i | −0.0130968 | + | 0.0910901i | −0.995321 | − | 0.0966190i | \(-0.969197\pi\) |
0.982225 | + | 0.187709i | \(0.0601062\pi\) | |||||||
\(978\) | −874.303 | + | 6080.91i | −0.0285860 | + | 0.198820i | ||||
\(979\) | −78406.2 | − | 50388.6i | −2.55963 | − | 1.64497i | ||||
\(980\) | −16632.0 | − | 19194.3i | −0.542132 | − | 0.625653i | ||||
\(981\) | 771.867 | + | 1690.15i | 0.0251211 | + | 0.0550075i | ||||
\(982\) | −28562.5 | + | 18356.0i | −0.928172 | + | 0.596500i | ||||
\(983\) | 28612.1 | + | 8401.27i | 0.928366 | + | 0.272593i | 0.710753 | − | 0.703442i | \(-0.248355\pi\) |
0.217614 | + | 0.976035i | \(0.430173\pi\) | |||||||
\(984\) | −207.671 | + | 239.665i | −0.00672795 | + | 0.00776447i | ||||
\(985\) | −12818.7 | + | 3763.90i | −0.414656 | + | 0.121754i | ||||
\(986\) | 23377.6 | − | 51189.8i | 0.755065 | − | 1.65336i | ||||
\(987\) | 237.469 | + | 1651.63i | 0.00765828 | + | 0.0532645i | ||||
\(988\) | 8140.16 | 0.262118 | ||||||||
\(989\) | 12212.4 | − | 21200.5i | 0.392650 | − | 0.681634i | ||||
\(990\) | 47060.3 | 1.51078 | ||||||||
\(991\) | −1643.61 | − | 11431.5i | −0.0526850 | − | 0.366432i | −0.999059 | − | 0.0433606i | \(-0.986194\pi\) |
0.946374 | − | 0.323072i | \(-0.104716\pi\) | |||||||
\(992\) | −14447.2 | + | 31635.0i | −0.462399 | + | 1.01251i | ||||
\(993\) | −5214.11 | + | 1531.00i | −0.166631 | + | 0.0489273i | ||||
\(994\) | 5258.69 | − | 6068.85i | 0.167802 | − | 0.193654i | ||||
\(995\) | −12130.5 | − | 3561.85i | −0.386496 | − | 0.113486i | ||||
\(996\) | −3489.39 | + | 2242.49i | −0.111010 | + | 0.0713415i | ||||
\(997\) | 13493.3 | + | 29546.3i | 0.428624 | + | 0.938556i | 0.993548 | + | 0.113413i | \(0.0361783\pi\) |
−0.564924 | + | 0.825143i | \(0.691094\pi\) | |||||||
\(998\) | −8376.44 | − | 9666.92i | −0.265683 | − | 0.306614i | ||||
\(999\) | −12366.6 | − | 7947.51i | −0.391653 | − | 0.251700i |
(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 | 23.4.c.a.3.5 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.118.1 | 50 | |||
23.8 | even | 11 | inner | 23.4.c.a.8.5 | yes | 50 | |
23.10 | odd | 22 | 529.4.a.m.1.3 | 25 | |||
23.13 | even | 11 | 529.4.a.n.1.3 | 25 | |||
69.8 | odd | 22 | 207.4.i.a.100.1 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.3.5 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.8.5 | yes | 50 | 23.8 | even | 11 | inner | |
207.4.i.a.100.1 | 50 | 69.8 | odd | 22 | |||
207.4.i.a.118.1 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.3 | 25 | 23.10 | odd | 22 | |||
529.4.a.n.1.3 | 25 | 23.13 | even | 11 |