Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,4,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (of order \(12\), degree \(4\), 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: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 45.2 |
Dual form | 45.4.l.a.23.6 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.689083 | − | 2.57169i | −0.243628 | − | 0.909230i | −0.974068 | − | 0.226254i | \(-0.927352\pi\) |
0.730441 | − | 0.682976i | \(-0.239315\pi\) | |||||||
\(3\) | 5.10395 | + | 0.974542i | 0.982255 | + | 0.187551i | ||||
\(4\) | 0.789441 | − | 0.455784i | 0.0986801 | − | 0.0569730i | ||||
\(5\) | 6.87382 | + | 8.81763i | 0.614813 | + | 0.788673i | ||||
\(6\) | −1.01082 | − | 13.7973i | −0.0687776 | − | 0.938788i | ||||
\(7\) | 1.49332 | − | 0.400135i | 0.0806319 | − | 0.0216052i | −0.218278 | − | 0.975887i | \(-0.570044\pi\) |
0.298909 | + | 0.954281i | \(0.403377\pi\) | |||||||
\(8\) | −16.7770 | − | 16.7770i | −0.741445 | − | 0.741445i | ||||
\(9\) | 25.1005 | + | 9.94802i | 0.929650 | + | 0.368445i | ||||
\(10\) | 17.9396 | − | 23.7534i | 0.567300 | − | 0.751149i | ||||
\(11\) | −61.6602 | − | 35.5995i | −1.69011 | − | 0.975787i | −0.954417 | − | 0.298475i | \(-0.903522\pi\) |
−0.735696 | − | 0.677312i | \(-0.763145\pi\) | |||||||
\(12\) | 4.47344 | − | 1.55695i | 0.107614 | − | 0.0374545i | ||||
\(13\) | 38.6262 | + | 10.3499i | 0.824076 | + | 0.220810i | 0.646128 | − | 0.763229i | \(-0.276387\pi\) |
0.177948 | + | 0.984040i | \(0.443054\pi\) | |||||||
\(14\) | −2.05805 | − | 3.56464i | −0.0392883 | − | 0.0680493i | ||||
\(15\) | 26.4905 | + | 51.7035i | 0.455987 | + | 0.889986i | ||||
\(16\) | −27.9383 | + | 48.3905i | −0.436535 | + | 0.756101i | ||||
\(17\) | −45.8839 | + | 45.8839i | −0.654616 | + | 0.654616i | −0.954101 | − | 0.299485i | \(-0.903185\pi\) |
0.299485 | + | 0.954101i | \(0.403185\pi\) | |||||||
\(18\) | 8.28689 | − | 71.4058i | 0.108513 | − | 0.935029i | ||||
\(19\) | 3.05396i | 0.0368750i | 0.999830 | + | 0.0184375i | \(0.00586918\pi\) | ||||
−0.999830 | + | 0.0184375i | \(0.994131\pi\) | |||||||
\(20\) | 9.44540 | + | 3.82802i | 0.105603 | + | 0.0427986i | ||||
\(21\) | 8.01179 | − | 0.586960i | 0.0832531 | − | 0.00609930i | ||||
\(22\) | −49.0620 | + | 183.102i | −0.475457 | + | 1.77443i | ||||
\(23\) | −37.6487 | + | 140.507i | −0.341317 | + | 1.27381i | 0.555540 | + | 0.831490i | \(0.312512\pi\) |
−0.896856 | + | 0.442322i | \(0.854155\pi\) | |||||||
\(24\) | −69.2790 | − | 101.979i | −0.589230 | − | 0.867347i | ||||
\(25\) | −30.5012 | + | 121.222i | −0.244010 | + | 0.969773i | ||||
\(26\) | − | 106.467i | − | 0.803070i | ||||||
\(27\) | 118.417 | + | 75.2357i | 0.844051 | + | 0.536263i | ||||
\(28\) | 0.996515 | − | 0.996515i | 0.00672584 | − | 0.00672584i | ||||
\(29\) | 91.6343 | − | 158.715i | 0.586761 | − | 1.01630i | −0.407893 | − | 0.913030i | \(-0.633736\pi\) |
0.994653 | − | 0.103269i | \(-0.0329304\pi\) | |||||||
\(30\) | 114.711 | − | 103.753i | 0.698112 | − | 0.631422i | ||||
\(31\) | −89.3086 | − | 154.687i | −0.517429 | − | 0.896214i | −0.999795 | − | 0.0202438i | \(-0.993556\pi\) |
0.482366 | − | 0.875970i | \(-0.339778\pi\) | |||||||
\(32\) | −39.6453 | − | 10.6229i | −0.219011 | − | 0.0586839i | ||||
\(33\) | −280.017 | − | 241.788i | −1.47711 | − | 1.27545i | ||||
\(34\) | 149.617 | + | 86.3814i | 0.754679 | + | 0.435714i | ||||
\(35\) | 13.7931 | + | 10.4171i | 0.0666130 | + | 0.0503090i | ||||
\(36\) | 24.3495 | − | 3.58705i | 0.112729 | − | 0.0166067i | ||||
\(37\) | −26.4034 | − | 26.4034i | −0.117316 | − | 0.117316i | 0.646012 | − | 0.763328i | \(-0.276436\pi\) |
−0.763328 | + | 0.646012i | \(0.776436\pi\) | |||||||
\(38\) | 7.85383 | − | 2.10443i | 0.0335279 | − | 0.00898377i | ||||
\(39\) | 187.060 | + | 90.4680i | 0.768039 | + | 0.371448i | ||||
\(40\) | 32.6113 | − | 263.255i | 0.128908 | − | 1.04061i | ||||
\(41\) | 79.5097 | − | 45.9049i | 0.302862 | − | 0.174857i | −0.340866 | − | 0.940112i | \(-0.610720\pi\) |
0.643728 | + | 0.765255i | \(0.277387\pi\) | |||||||
\(42\) | −7.03027 | − | 20.1994i | −0.0258284 | − | 0.0742103i | ||||
\(43\) | 12.9952 | + | 48.4988i | 0.0460872 | + | 0.172000i | 0.985133 | − | 0.171791i | \(-0.0549555\pi\) |
−0.939046 | + | 0.343791i | \(0.888289\pi\) | |||||||
\(44\) | −64.9027 | −0.222374 | ||||||||
\(45\) | 84.8186 | + | 289.708i | 0.280978 | + | 0.959714i | ||||
\(46\) | 387.283 | 1.24134 | ||||||||
\(47\) | 38.3375 | + | 143.078i | 0.118981 | + | 0.444043i | 0.999554 | − | 0.0298680i | \(-0.00950868\pi\) |
−0.880573 | + | 0.473911i | \(0.842842\pi\) | |||||||
\(48\) | −189.754 | + | 219.755i | −0.570596 | + | 0.660812i | ||||
\(49\) | −294.977 | + | 170.305i | −0.859991 | + | 0.496516i | ||||
\(50\) | 332.762 | − | 5.09194i | 0.941194 | − | 0.0144022i | ||||
\(51\) | −278.905 | + | 189.473i | −0.765774 | + | 0.520226i | ||||
\(52\) | 35.2104 | − | 9.43460i | 0.0939001 | − | 0.0251605i | ||||
\(53\) | 182.516 | + | 182.516i | 0.473029 | + | 0.473029i | 0.902893 | − | 0.429865i | \(-0.141439\pi\) |
−0.429865 | + | 0.902893i | \(0.641439\pi\) | |||||||
\(54\) | 111.884 | − | 356.376i | 0.281953 | − | 0.898085i | ||||
\(55\) | −109.937 | − | 788.401i | −0.269527 | − | 1.93287i | ||||
\(56\) | −31.7665 | − | 18.3404i | −0.0758032 | − | 0.0437650i | ||||
\(57\) | −2.97621 | + | 15.5872i | −0.00691594 | + | 0.0362207i | ||||
\(58\) | −471.310 | − | 126.287i | −1.06700 | − | 0.285902i | ||||
\(59\) | −128.795 | − | 223.079i | −0.284197 | − | 0.492243i | 0.688217 | − | 0.725505i | \(-0.258394\pi\) |
−0.972414 | + | 0.233261i | \(0.925060\pi\) | |||||||
\(60\) | 44.4783 | + | 28.7430i | 0.0957020 | + | 0.0618450i | ||||
\(61\) | 152.085 | − | 263.419i | 0.319221 | − | 0.552906i | −0.661105 | − | 0.750293i | \(-0.729912\pi\) |
0.980326 | + | 0.197387i | \(0.0632455\pi\) | |||||||
\(62\) | −336.266 | + | 336.266i | −0.688805 | + | 0.688805i | ||||
\(63\) | 41.4638 | + | 4.81201i | 0.0829197 | + | 0.00962311i | ||||
\(64\) | 556.288i | 1.08650i | ||||||||
\(65\) | 174.248 | + | 411.735i | 0.332505 | + | 0.785684i | ||||
\(66\) | −428.851 | + | 886.730i | −0.799816 | + | 1.65377i | ||||
\(67\) | 62.0292 | − | 231.496i | 0.113106 | − | 0.422116i | −0.886033 | − | 0.463623i | \(-0.846549\pi\) |
0.999138 | + | 0.0415072i | \(0.0132160\pi\) | |||||||
\(68\) | −15.3095 | + | 57.1357i | −0.0273021 | + | 0.101893i | ||||
\(69\) | −329.086 | + | 680.448i | −0.574164 | + | 1.18719i | ||||
\(70\) | 17.2850 | − | 42.6498i | 0.0295137 | − | 0.0728232i | ||||
\(71\) | − | 470.304i | − | 0.786124i | −0.919512 | − | 0.393062i | \(-0.871416\pi\) | ||
0.919512 | − | 0.393062i | \(-0.128584\pi\) | |||||||
\(72\) | −254.214 | − | 588.009i | −0.416102 | − | 0.962466i | ||||
\(73\) | 445.386 | − | 445.386i | 0.714089 | − | 0.714089i | −0.253299 | − | 0.967388i | \(-0.581516\pi\) |
0.967388 | + | 0.253299i | \(0.0815157\pi\) | |||||||
\(74\) | −49.7072 | + | 86.0954i | −0.0780858 | + | 0.135249i | ||||
\(75\) | −273.812 | + | 588.984i | −0.421561 | + | 0.906800i | ||||
\(76\) | 1.39194 | + | 2.41092i | 0.00210088 | + | 0.00363883i | ||||
\(77\) | −106.323 | − | 28.4892i | −0.157359 | − | 0.0421642i | ||||
\(78\) | 103.756 | − | 543.400i | 0.150616 | − | 0.788820i | ||||
\(79\) | −134.691 | − | 77.7637i | −0.191821 | − | 0.110748i | 0.401014 | − | 0.916072i | \(-0.368658\pi\) |
−0.592835 | + | 0.805324i | \(0.701991\pi\) | |||||||
\(80\) | −618.732 | + | 86.2781i | −0.864704 | + | 0.120577i | ||||
\(81\) | 531.074 | + | 499.401i | 0.728496 | + | 0.685050i | ||||
\(82\) | −172.842 | − | 172.842i | −0.232771 | − | 0.232771i | ||||
\(83\) | 806.421 | − | 216.080i | 1.06646 | − | 0.285757i | 0.317422 | − | 0.948284i | \(-0.397183\pi\) |
0.749038 | + | 0.662527i | \(0.230516\pi\) | |||||||
\(84\) | 6.05730 | − | 4.11501i | 0.00786793 | − | 0.00534506i | ||||
\(85\) | −719.985 | − | 89.1897i | −0.918745 | − | 0.113811i | ||||
\(86\) | 115.769 | − | 66.8393i | 0.145159 | − | 0.0838078i | ||||
\(87\) | 622.371 | − | 720.773i | 0.766956 | − | 0.888218i | ||||
\(88\) | 437.220 | + | 1631.73i | 0.529634 | + | 1.97662i | ||||
\(89\) | 1352.69 | 1.61107 | 0.805535 | − | 0.592549i | \(-0.201878\pi\) | ||||
0.805535 | + | 0.592549i | \(0.201878\pi\) | |||||||
\(90\) | 686.593 | − | 417.760i | 0.804147 | − | 0.489286i | ||||
\(91\) | 61.8228 | 0.0712174 | ||||||||
\(92\) | 34.3193 | + | 128.081i | 0.0388917 | + | 0.145146i | ||||
\(93\) | −305.077 | − | 876.550i | −0.340162 | − | 0.977354i | ||||
\(94\) | 341.534 | − | 197.184i | 0.374750 | − | 0.216362i | ||||
\(95\) | −26.9287 | + | 20.9923i | −0.0290823 | + | 0.0226712i | ||||
\(96\) | −191.995 | − | 92.8548i | −0.204119 | − | 0.0987183i | ||||
\(97\) | 287.595 | − | 77.0607i | 0.301039 | − | 0.0806632i | −0.105138 | − | 0.994458i | \(-0.533528\pi\) |
0.406177 | + | 0.913794i | \(0.366862\pi\) | |||||||
\(98\) | 641.235 | + | 641.235i | 0.660965 | + | 0.660965i | ||||
\(99\) | −1193.56 | − | 1506.96i | −1.21169 | − | 1.52985i | ||||
\(100\) | 31.1719 | + | 109.599i | 0.0311719 | + | 0.109599i | ||||
\(101\) | −1036.67 | − | 598.524i | −1.02132 | − | 0.589657i | −0.106831 | − | 0.994277i | \(-0.534070\pi\) |
−0.914485 | + | 0.404620i | \(0.867404\pi\) | |||||||
\(102\) | 679.455 | + | 586.694i | 0.659569 | + | 0.569523i | ||||
\(103\) | −459.029 | − | 122.996i | −0.439121 | − | 0.117662i | 0.0324837 | − | 0.999472i | \(-0.489658\pi\) |
−0.471604 | + | 0.881810i | \(0.656325\pi\) | |||||||
\(104\) | −474.392 | − | 821.672i | −0.447288 | − | 0.774726i | ||||
\(105\) | 60.2472 | + | 66.6103i | 0.0559955 | + | 0.0619096i | ||||
\(106\) | 343.607 | − | 595.144i | 0.314849 | − | 0.545335i | ||||
\(107\) | 1085.11 | − | 1085.11i | 0.980391 | − | 0.980391i | −0.0194207 | − | 0.999811i | \(-0.506182\pi\) |
0.999811 | + | 0.0194207i | \(0.00618219\pi\) | |||||||
\(108\) | 127.774 | + | 5.42153i | 0.113843 | + | 0.00483044i | ||||
\(109\) | 838.547i | 0.736865i | 0.929655 | + | 0.368432i | \(0.120105\pi\) | ||||
−0.929655 | + | 0.368432i | \(0.879895\pi\) | |||||||
\(110\) | −1951.77 | + | 825.999i | −1.69176 | + | 0.715963i | ||||
\(111\) | −109.030 | − | 160.493i | −0.0932314 | − | 0.137237i | ||||
\(112\) | −22.3581 | + | 83.4417i | −0.0188629 | + | 0.0703973i | ||||
\(113\) | −32.8629 | + | 122.646i | −0.0273582 | + | 0.102102i | −0.978255 | − | 0.207406i | \(-0.933498\pi\) |
0.950897 | + | 0.309508i | \(0.100164\pi\) | |||||||
\(114\) | 42.1364 | − | 3.08700i | 0.0346178 | − | 0.00253618i | ||||
\(115\) | −1497.73 | + | 633.846i | −1.21447 | + | 0.513969i | ||||
\(116\) | − | 167.062i | − | 0.133718i | ||||||
\(117\) | 866.578 | + | 644.042i | 0.684745 | + | 0.508903i | ||||
\(118\) | −484.939 | + | 484.939i | −0.378324 | + | 0.378324i | ||||
\(119\) | −50.1597 | + | 86.8792i | −0.0386398 | + | 0.0669261i | ||||
\(120\) | 423.000 | − | 1311.86i | 0.321787 | − | 0.997966i | ||||
\(121\) | 1869.15 | + | 3237.47i | 1.40432 | + | 2.43236i | ||||
\(122\) | −782.230 | − | 209.598i | −0.580490 | − | 0.155542i | ||||
\(123\) | 450.549 | − | 156.811i | 0.330282 | − | 0.114952i | ||||
\(124\) | −141.008 | − | 81.4108i | −0.102120 | − | 0.0589589i | ||||
\(125\) | −1278.55 | + | 564.307i | −0.914854 | + | 0.403785i | ||||
\(126\) | −16.1970 | − | 109.948i | −0.0114519 | − | 0.0777376i | ||||
\(127\) | −1460.03 | − | 1460.03i | −1.02013 | − | 1.02013i | −0.999793 | − | 0.0203375i | \(-0.993526\pi\) |
−0.0203375 | − | 0.999793i | \(-0.506474\pi\) | |||||||
\(128\) | 1113.44 | − | 298.345i | 0.768867 | − | 0.206017i | ||||
\(129\) | 19.0628 | + | 260.199i | 0.0130107 | + | 0.177591i | ||||
\(130\) | 938.784 | − | 731.832i | 0.633360 | − | 0.493738i | ||||
\(131\) | −1319.03 | + | 761.541i | −0.879725 | + | 0.507909i | −0.870568 | − | 0.492049i | \(-0.836248\pi\) |
−0.00915702 | + | 0.999958i | \(0.502915\pi\) | |||||||
\(132\) | −331.260 | − | 63.2504i | −0.218428 | − | 0.0417064i | ||||
\(133\) | 1.22199 | + | 4.56054i | 0.000796694 | + | 0.00297330i | ||||
\(134\) | −638.080 | −0.411356 | ||||||||
\(135\) | 150.577 | + | 1561.31i | 0.0959970 | + | 0.995382i | ||||
\(136\) | 1539.59 | 0.970724 | ||||||||
\(137\) | 310.102 | + | 1157.32i | 0.193385 | + | 0.721724i | 0.992679 | + | 0.120783i | \(0.0385406\pi\) |
−0.799293 | + | 0.600941i | \(0.794793\pi\) | |||||||
\(138\) | 1976.67 | + | 377.423i | 1.21931 | + | 0.232815i | ||||
\(139\) | 261.821 | − | 151.163i | 0.159765 | − | 0.0922406i | −0.417986 | − | 0.908454i | \(-0.637264\pi\) |
0.577751 | + | 0.816213i | \(0.303930\pi\) | |||||||
\(140\) | 15.6368 | + | 1.93704i | 0.00943963 | + | 0.00116935i | ||||
\(141\) | 56.2375 | + | 767.621i | 0.0335890 | + | 0.458478i | ||||
\(142\) | −1209.48 | + | 324.078i | −0.714768 | + | 0.191521i | ||||
\(143\) | −2013.25 | − | 2013.25i | −1.17732 | − | 1.17732i | ||||
\(144\) | −1182.65 | + | 936.697i | −0.684407 | + | 0.542070i | ||||
\(145\) | 2029.37 | − | 282.982i | 1.16228 | − | 0.162072i | ||||
\(146\) | −1452.30 | − | 838.488i | −0.823243 | − | 0.475299i | ||||
\(147\) | −1671.52 | + | 581.760i | −0.937852 | + | 0.326413i | ||||
\(148\) | −32.8781 | − | 8.80967i | −0.0182606 | − | 0.00489291i | ||||
\(149\) | 1115.11 | + | 1931.43i | 0.613110 | + | 1.06194i | 0.990713 | + | 0.135970i | \(0.0434151\pi\) |
−0.377603 | + | 0.925968i | \(0.623252\pi\) | |||||||
\(150\) | 1703.36 | + | 298.302i | 0.927194 | + | 0.162375i | ||||
\(151\) | 837.917 | − | 1451.32i | 0.451581 | − | 0.782161i | −0.546903 | − | 0.837196i | \(-0.684194\pi\) |
0.998484 | + | 0.0550344i | \(0.0175268\pi\) | |||||||
\(152\) | 51.2362 | − | 51.2362i | 0.0273408 | − | 0.0273408i | ||||
\(153\) | −1608.16 | + | 695.256i | −0.849754 | + | 0.367374i | ||||
\(154\) | 293.062i | 0.153348i | ||||||||
\(155\) | 750.082 | − | 1850.78i | 0.388697 | − | 0.959086i | ||||
\(156\) | 188.906 | − | 13.8397i | 0.0969527 | − | 0.00710296i | ||||
\(157\) | 125.573 | − | 468.645i | 0.0638333 | − | 0.238229i | −0.926637 | − | 0.375958i | \(-0.877314\pi\) |
0.990470 | + | 0.137729i | \(0.0439803\pi\) | |||||||
\(158\) | −107.171 | + | 399.969i | −0.0539626 | + | 0.201391i | ||||
\(159\) | 753.683 | + | 1109.42i | 0.375918 | + | 0.553352i | ||||
\(160\) | −178.845 | − | 422.598i | −0.0883686 | − | 0.208808i | ||||
\(161\) | 224.886i | 0.110084i | ||||||||
\(162\) | 918.352 | − | 1709.89i | 0.445386 | − | 0.829268i | ||||
\(163\) | −2513.57 | + | 2513.57i | −1.20784 | + | 1.20784i | −0.236117 | + | 0.971725i | \(0.575875\pi\) |
−0.971725 | + | 0.236117i | \(0.924125\pi\) | |||||||
\(164\) | 41.8454 | − | 72.4784i | 0.0199243 | − | 0.0345098i | ||||
\(165\) | 207.215 | − | 4131.10i | 0.0977678 | − | 1.94912i | ||||
\(166\) | −1111.38 | − | 1924.97i | −0.519638 | − | 0.900039i | ||||
\(167\) | 1629.84 | + | 436.714i | 0.755213 | + | 0.202359i | 0.615829 | − | 0.787880i | \(-0.288821\pi\) |
0.139384 | + | 0.990238i | \(0.455488\pi\) | |||||||
\(168\) | −144.261 | − | 124.566i | −0.0662500 | − | 0.0572054i | ||||
\(169\) | −517.792 | − | 298.948i | −0.235682 | − | 0.136071i | ||||
\(170\) | 266.761 | + | 1913.04i | 0.120351 | + | 0.863078i | ||||
\(171\) | −30.3808 | + | 76.6559i | −0.0135864 | + | 0.0342808i | ||||
\(172\) | 32.3639 | + | 32.3639i | 0.0143472 | + | 0.0143472i | ||||
\(173\) | 1316.26 | − | 352.691i | 0.578460 | − | 0.154998i | 0.0422861 | − | 0.999106i | \(-0.486536\pi\) |
0.536174 | + | 0.844108i | \(0.319869\pi\) | |||||||
\(174\) | −2282.47 | − | 1103.87i | −0.994446 | − | 0.480945i | ||||
\(175\) | 2.95677 | + | 193.228i | 0.00127721 | + | 0.0834665i | ||||
\(176\) | 3445.36 | − | 1989.18i | 1.47559 | − | 0.851931i | ||||
\(177\) | −439.961 | − | 1264.10i | −0.186833 | − | 0.536810i | ||||
\(178\) | −932.117 | − | 3478.71i | −0.392501 | − | 1.46483i | ||||
\(179\) | 2448.92 | 1.02257 | 0.511287 | − | 0.859410i | \(-0.329169\pi\) | ||||
0.511287 | + | 0.859410i | \(0.329169\pi\) | |||||||
\(180\) | 199.003 | + | 190.048i | 0.0824047 | + | 0.0786965i | ||||
\(181\) | −2882.13 | −1.18357 | −0.591787 | − | 0.806095i | \(-0.701577\pi\) | ||||
−0.591787 | + | 0.806095i | \(0.701577\pi\) | |||||||
\(182\) | −42.6010 | − | 158.989i | −0.0173505 | − | 0.0647531i | ||||
\(183\) | 1032.95 | − | 1196.26i | 0.417254 | − | 0.483225i | ||||
\(184\) | 2988.91 | − | 1725.65i | 1.19753 | − | 0.691394i | ||||
\(185\) | 51.3232 | − | 414.307i | 0.0203965 | − | 0.164651i | ||||
\(186\) | −2043.99 | + | 1388.58i | −0.805767 | + | 0.547396i | ||||
\(187\) | 4462.65 | − | 1195.76i | 1.74514 | − | 0.467609i | ||||
\(188\) | 95.4776 | + | 95.4776i | 0.0370395 | + | 0.0370395i | ||||
\(189\) | 206.939 | + | 64.9684i | 0.0796435 | + | 0.0250040i | ||||
\(190\) | 72.5419 | + | 54.7867i | 0.0276986 | + | 0.0209192i | ||||
\(191\) | 1454.82 | + | 839.943i | 0.551138 | + | 0.318200i | 0.749581 | − | 0.661913i | \(-0.230255\pi\) |
−0.198443 | + | 0.980112i | \(0.563588\pi\) | |||||||
\(192\) | −542.125 | + | 2839.26i | −0.203774 | + | 1.06722i | ||||
\(193\) | −188.144 | − | 50.4130i | −0.0701705 | − | 0.0188021i | 0.223563 | − | 0.974689i | \(-0.428231\pi\) |
−0.293733 | + | 0.955887i | \(0.594898\pi\) | |||||||
\(194\) | −396.353 | − | 686.503i | −0.146683 | − | 0.254062i | ||||
\(195\) | 488.101 | + | 2271.29i | 0.179250 | + | 0.834103i | ||||
\(196\) | −155.244 | + | 268.891i | −0.0565760 | + | 0.0979924i | ||||
\(197\) | −3351.77 | + | 3351.77i | −1.21220 | + | 1.21220i | −0.241900 | + | 0.970301i | \(0.577770\pi\) |
−0.970301 | + | 0.241900i | \(0.922230\pi\) | |||||||
\(198\) | −3052.99 | + | 4107.89i | −1.09579 | + | 1.47442i | ||||
\(199\) | 1702.11i | 0.606327i | 0.952939 | + | 0.303163i | \(0.0980428\pi\) | ||||
−0.952939 | + | 0.303163i | \(0.901957\pi\) | |||||||
\(200\) | 2545.45 | − | 1522.02i | 0.899954 | − | 0.538114i | ||||
\(201\) | 542.196 | − | 1121.09i | 0.190267 | − | 0.393412i | ||||
\(202\) | −824.865 | + | 3078.44i | −0.287313 | + | 1.07227i | ||||
\(203\) | 73.3321 | − | 273.679i | 0.0253542 | − | 0.0946232i | ||||
\(204\) | −133.820 | + | 276.698i | −0.0459278 | + | 0.0949644i | ||||
\(205\) | 951.308 | + | 385.545i | 0.324108 | + | 0.131354i | ||||
\(206\) | 1265.23i | 0.427928i | ||||||||
\(207\) | −2342.76 | + | 3152.26i | −0.786635 | + | 1.05844i | ||||
\(208\) | −1579.98 | + | 1579.98i | −0.526693 | + | 0.526693i | ||||
\(209\) | 108.719 | − | 188.307i | 0.0359822 | − | 0.0623230i | ||||
\(210\) | 129.786 | − | 200.837i | 0.0426480 | − | 0.0659956i | ||||
\(211\) | −629.684 | − | 1090.65i | −0.205447 | − | 0.355844i | 0.744828 | − | 0.667256i | \(-0.232531\pi\) |
−0.950275 | + | 0.311412i | \(0.899198\pi\) | |||||||
\(212\) | 227.274 | + | 60.8978i | 0.0736283 | + | 0.0197287i | ||||
\(213\) | 458.331 | − | 2400.41i | 0.147438 | − | 0.772174i | ||||
\(214\) | −3538.31 | − | 2042.84i | −1.13025 | − | 0.652551i | ||||
\(215\) | −338.317 | + | 447.959i | −0.107317 | + | 0.142095i | ||||
\(216\) | −724.454 | − | 3248.91i | −0.228207 | − | 1.02343i | ||||
\(217\) | −195.262 | − | 195.262i | −0.0610842 | − | 0.0610842i | ||||
\(218\) | 2156.48 | − | 577.828i | 0.669980 | − | 0.179520i | ||||
\(219\) | 2707.27 | − | 1839.18i | 0.835345 | − | 0.567489i | ||||
\(220\) | −446.130 | − | 572.288i | −0.136718 | − | 0.175380i | ||||
\(221\) | −2247.21 | + | 1297.43i | −0.684000 | + | 0.394907i | ||||
\(222\) | −337.607 | + | 390.985i | −0.102066 | + | 0.118203i | ||||
\(223\) | 78.0142 | + | 291.153i | 0.0234270 | + | 0.0874307i | 0.976650 | − | 0.214839i | \(-0.0689225\pi\) |
−0.953223 | + | 0.302269i | \(0.902256\pi\) | |||||||
\(224\) | −63.4538 | −0.0189272 | ||||||||
\(225\) | −1971.51 | + | 2739.30i | −0.584152 | + | 0.811645i | ||||
\(226\) | 338.053 | 0.0994996 | ||||||||
\(227\) | 1227.54 | + | 4581.23i | 0.358918 | + | 1.33950i | 0.875481 | + | 0.483252i | \(0.160545\pi\) |
−0.516563 | + | 0.856249i | \(0.672789\pi\) | |||||||
\(228\) | 4.75486 | + | 13.6617i | 0.00138113 | + | 0.00396828i | ||||
\(229\) | 832.697 | − | 480.758i | 0.240289 | − | 0.138731i | −0.375021 | − | 0.927017i | \(-0.622364\pi\) |
0.615310 | + | 0.788286i | \(0.289031\pi\) | |||||||
\(230\) | 2662.11 | + | 3414.92i | 0.763193 | + | 0.979013i | ||||
\(231\) | −514.904 | − | 249.024i | −0.146659 | − | 0.0709288i | ||||
\(232\) | −4200.11 | + | 1125.42i | −1.18858 | + | 0.318479i | ||||
\(233\) | −3014.81 | − | 3014.81i | −0.847668 | − | 0.847668i | 0.142174 | − | 0.989842i | \(-0.454591\pi\) |
−0.989842 | + | 0.142174i | \(0.954591\pi\) | |||||||
\(234\) | 1059.13 | − | 2672.37i | 0.295887 | − | 0.746574i | ||||
\(235\) | −998.080 | + | 1321.53i | −0.277053 | + | 0.366840i | ||||
\(236\) | −203.351 | − | 117.405i | −0.0560891 | − | 0.0323831i | ||||
\(237\) | −611.670 | − | 528.164i | −0.167647 | − | 0.144759i | ||||
\(238\) | 257.991 | + | 69.1284i | 0.0702649 | + | 0.0188274i | ||||
\(239\) | −2780.59 | − | 4816.13i | −0.752559 | − | 1.30347i | −0.946579 | − | 0.322472i | \(-0.895486\pi\) |
0.194020 | − | 0.980998i | \(-0.437847\pi\) | |||||||
\(240\) | −3242.06 | − | 162.621i | −0.871974 | − | 0.0437381i | ||||
\(241\) | 1313.39 | − | 2274.85i | 0.351049 | − | 0.608034i | −0.635385 | − | 0.772196i | \(-0.719158\pi\) |
0.986433 | + | 0.164161i | \(0.0524918\pi\) | |||||||
\(242\) | 7037.77 | − | 7037.77i | 1.86944 | − | 1.86944i | ||||
\(243\) | 2223.89 | + | 3066.47i | 0.587088 | + | 0.809523i | ||||
\(244\) | − | 277.271i | − | 0.0727478i | ||||||
\(245\) | −3529.30 | − | 1430.35i | −0.920322 | − | 0.372987i | ||||
\(246\) | −713.735 | − | 1050.62i | −0.184984 | − | 0.272297i | ||||
\(247\) | −31.6080 | + | 117.963i | −0.00814239 | + | 0.0303878i | ||||
\(248\) | −1096.85 | + | 4093.52i | −0.280848 | + | 1.04814i | ||||
\(249\) | 4326.51 | − | 316.969i | 1.10113 | − | 0.0806710i | ||||
\(250\) | 2332.25 | + | 2899.18i | 0.590017 | + | 0.733440i | ||||
\(251\) | 1692.12i | 0.425520i | 0.977104 | + | 0.212760i | \(0.0682453\pi\) | ||||
−0.977104 | + | 0.212760i | \(0.931755\pi\) | |||||||
\(252\) | 34.9264 | − | 15.0997i | 0.00873078 | − | 0.00377457i | ||||
\(253\) | 7323.39 | − | 7323.39i | 1.81983 | − | 1.81983i | ||||
\(254\) | −2748.66 | + | 4760.82i | −0.679002 | + | 1.17607i | ||||
\(255\) | −3587.84 | − | 1156.87i | −0.881096 | − | 0.284103i | ||||
\(256\) | 690.649 | + | 1196.24i | 0.168615 | + | 0.292051i | ||||
\(257\) | −6449.89 | − | 1728.24i | −1.56550 | − | 0.419474i | −0.631099 | − | 0.775702i | \(-0.717396\pi\) |
−0.934399 | + | 0.356228i | \(0.884063\pi\) | |||||||
\(258\) | 656.017 | − | 228.322i | 0.158302 | − | 0.0550959i | ||||
\(259\) | −49.9937 | − | 28.8639i | −0.0119940 | − | 0.00692476i | ||||
\(260\) | 325.221 | + | 245.621i | 0.0775744 | + | 0.0585875i | ||||
\(261\) | 3878.97 | − | 3072.26i | 0.919932 | − | 0.728613i | ||||
\(262\) | 2867.37 | + | 2867.37i | 0.676132 | + | 0.676132i | ||||
\(263\) | −4539.56 | + | 1216.37i | −1.06434 | + | 0.285189i | −0.748165 | − | 0.663513i | \(-0.769065\pi\) |
−0.316174 | + | 0.948701i | \(0.602398\pi\) | |||||||
\(264\) | 641.360 | + | 8754.33i | 0.149519 | + | 2.04088i | ||||
\(265\) | −354.777 | + | 2863.94i | −0.0822407 | + | 0.663889i | ||||
\(266\) | 10.8863 | − | 6.28518i | 0.00250932 | − | 0.00144876i | ||||
\(267\) | 6904.07 | + | 1318.26i | 1.58248 | + | 0.302157i | ||||
\(268\) | −56.5438 | − | 211.024i | −0.0128879 | − | 0.0480983i | ||||
\(269\) | −143.325 | −0.0324859 | −0.0162429 | − | 0.999868i | \(-0.505171\pi\) | ||||
−0.0162429 | + | 0.999868i | \(0.505171\pi\) | |||||||
\(270\) | 3911.46 | − | 1463.11i | 0.881644 | − | 0.329786i | ||||
\(271\) | −7451.06 | −1.67018 | −0.835091 | − | 0.550111i | \(-0.814585\pi\) | ||||
−0.835091 | + | 0.550111i | \(0.814585\pi\) | |||||||
\(272\) | −938.427 | − | 3502.26i | −0.209193 | − | 0.780719i | ||||
\(273\) | 315.540 | + | 60.2489i | 0.0699537 | + | 0.0133569i | ||||
\(274\) | 2762.58 | − | 1594.97i | 0.609100 | − | 0.351664i | ||||
\(275\) | 6196.14 | − | 6388.72i | 1.35870 | − | 1.40092i | ||||
\(276\) | 50.3432 | + | 687.166i | 0.0109794 | + | 0.149864i | ||||
\(277\) | 2126.37 | − | 569.759i | 0.461232 | − | 0.123587i | −0.0207183 | − | 0.999785i | \(-0.506595\pi\) |
0.481950 | + | 0.876199i | \(0.339929\pi\) | |||||||
\(278\) | −569.160 | − | 569.160i | −0.122791 | − | 0.122791i | ||||
\(279\) | −702.865 | − | 4771.17i | −0.150822 | − | 1.02381i | ||||
\(280\) | −56.6384 | − | 406.174i | −0.0120885 | − | 0.0866913i | ||||
\(281\) | −1756.49 | − | 1014.11i | −0.372894 | − | 0.215291i | 0.301828 | − | 0.953362i | \(-0.402403\pi\) |
−0.674722 | + | 0.738072i | \(0.735737\pi\) | |||||||
\(282\) | 1935.33 | − | 673.580i | 0.408679 | − | 0.142238i | ||||
\(283\) | 5600.82 | + | 1500.74i | 1.17645 | + | 0.315228i | 0.793516 | − | 0.608549i | \(-0.208248\pi\) |
0.382930 | + | 0.923777i | \(0.374915\pi\) | |||||||
\(284\) | −214.357 | − | 371.277i | −0.0447878 | − | 0.0775748i | ||||
\(285\) | −157.900 | + | 80.9007i | −0.0328183 | + | 0.0168145i | ||||
\(286\) | −3790.16 | + | 6564.75i | −0.783626 | + | 1.35728i | ||||
\(287\) | 100.365 | − | 100.365i | 0.0206425 | − | 0.0206425i | ||||
\(288\) | −889.441 | − | 661.033i | −0.181982 | − | 0.135249i | ||||
\(289\) | 702.339i | 0.142955i | ||||||||
\(290\) | −2126.15 | − | 5023.91i | −0.430523 | − | 1.01729i | ||||
\(291\) | 1542.97 | − | 113.041i | 0.310826 | − | 0.0227717i | ||||
\(292\) | 148.606 | − | 554.605i | 0.0297826 | − | 0.111150i | ||||
\(293\) | −1732.92 | + | 6467.33i | −0.345522 | + | 1.28951i | 0.546478 | + | 0.837473i | \(0.315968\pi\) |
−0.892001 | + | 0.452034i | \(0.850699\pi\) | |||||||
\(294\) | 2647.92 | + | 3897.74i | 0.525271 | + | 0.773200i | ||||
\(295\) | 1081.71 | − | 2669.06i | 0.213491 | − | 0.526776i | ||||
\(296\) | 885.939i | 0.173967i | ||||||||
\(297\) | −4623.26 | − | 8854.64i | −0.903262 | − | 1.72996i | ||||
\(298\) | 4198.63 | − | 4198.63i | 0.816175 | − | 0.816175i | ||||
\(299\) | −2908.45 | + | 5037.58i | −0.562542 | + | 0.974351i | ||||
\(300\) | 52.2908 | + | 589.767i | 0.0100634 | + | 0.113501i | ||||
\(301\) | 38.8121 | + | 67.2245i | 0.00743220 | + | 0.0128729i | ||||
\(302\) | −4309.73 | − | 1154.79i | −0.821182 | − | 0.220035i | ||||
\(303\) | −4707.84 | − | 4065.12i | −0.892602 | − | 0.770742i | ||||
\(304\) | −147.782 | − | 85.3222i | −0.0278812 | − | 0.0160972i | ||||
\(305\) | 3368.13 | − | 469.664i | 0.632323 | − | 0.0881734i | ||||
\(306\) | 2896.14 | + | 3656.61i | 0.541051 | + | 0.683120i | ||||
\(307\) | 934.416 | + | 934.416i | 0.173713 | + | 0.173713i | 0.788609 | − | 0.614895i | \(-0.210802\pi\) |
−0.614895 | + | 0.788609i | \(0.710802\pi\) | |||||||
\(308\) | −96.9207 | + | 25.9698i | −0.0179304 | + | 0.00480444i | ||||
\(309\) | −2222.99 | − | 1075.11i | −0.409261 | − | 0.197932i | ||||
\(310\) | −5276.51 | − | 653.639i | −0.966727 | − | 0.119755i | ||||
\(311\) | 7156.17 | − | 4131.61i | 1.30479 | − | 0.753320i | 0.323566 | − | 0.946205i | \(-0.395118\pi\) |
0.981221 | + | 0.192886i | \(0.0617847\pi\) | |||||||
\(312\) | −1620.52 | − | 4656.08i | −0.294051 | − | 0.844868i | ||||
\(313\) | 2109.01 | + | 7870.92i | 0.380856 | + | 1.42138i | 0.844596 | + | 0.535404i | \(0.179841\pi\) |
−0.463740 | + | 0.885972i | \(0.653493\pi\) | |||||||
\(314\) | −1291.74 | −0.232157 | ||||||||
\(315\) | 242.584 | + | 398.689i | 0.0433906 | + | 0.0713130i | ||||
\(316\) | −141.774 | −0.0252386 | ||||||||
\(317\) | −1684.33 | − | 6286.01i | −0.298427 | − | 1.11375i | −0.938457 | − | 0.345396i | \(-0.887745\pi\) |
0.640030 | − | 0.768350i | \(-0.278922\pi\) | |||||||
\(318\) | 2333.74 | − | 2702.72i | 0.411540 | − | 0.476608i | ||||
\(319\) | −11300.4 | + | 6524.27i | −1.98338 | + | 1.14511i | ||||
\(320\) | −4905.14 | + | 3823.82i | −0.856892 | + | 0.667994i | ||||
\(321\) | 6595.84 | − | 4480.87i | 1.14687 | − | 0.779121i | ||||
\(322\) | 578.338 | − | 154.965i | 0.100092 | − | 0.0268195i | ||||
\(323\) | −140.127 | − | 140.127i | −0.0241390 | − | 0.0241390i | ||||
\(324\) | 646.870 | + | 152.193i | 0.110917 | + | 0.0260961i | ||||
\(325\) | −2432.77 | + | 4366.65i | −0.415219 | + | 0.745286i | ||||
\(326\) | 8196.19 | + | 4732.07i | 1.39247 | + | 0.803943i | ||||
\(327\) | −817.199 | + | 4279.90i | −0.138199 | + | 0.723789i | ||||
\(328\) | −2104.08 | − | 563.787i | −0.354202 | − | 0.0949082i | ||||
\(329\) | 114.501 | + | 198.321i | 0.0191873 | + | 0.0332334i | ||||
\(330\) | −10766.7 | + | 2313.77i | −1.79602 | + | 0.385967i | ||||
\(331\) | −4213.66 | + | 7298.28i | −0.699710 | + | 1.21193i | 0.268857 | + | 0.963180i | \(0.413354\pi\) |
−0.968567 | + | 0.248753i | \(0.919979\pi\) | |||||||
\(332\) | 538.135 | − | 538.135i | 0.0889579 | − | 0.0889579i | ||||
\(333\) | −400.078 | − | 925.400i | −0.0658382 | − | 0.152287i | ||||
\(334\) | − | 4492.37i | − | 0.735963i | ||||||
\(335\) | 2467.62 | − | 1044.31i | 0.402450 | − | 0.170319i | ||||
\(336\) | −195.432 | + | 404.093i | −0.0317312 | + | 0.0656103i | ||||
\(337\) | 133.160 | − | 496.961i | 0.0215243 | − | 0.0803299i | −0.954328 | − | 0.298760i | \(-0.903427\pi\) |
0.975853 | + | 0.218430i | \(0.0700936\pi\) | |||||||
\(338\) | −411.999 | + | 1537.60i | −0.0663012 | + | 0.247439i | ||||
\(339\) | −287.254 | + | 593.952i | −0.0460221 | + | 0.0951594i | ||||
\(340\) | −609.036 | + | 257.747i | −0.0971460 | + | 0.0411127i | ||||
\(341\) | 12717.4i | 2.01960i | ||||||||
\(342\) | 218.070 | + | 25.3078i | 0.0344792 | + | 0.00400143i | ||||
\(343\) | −747.314 | + | 747.314i | −0.117642 | + | 0.117642i | ||||
\(344\) | 595.643 | − | 1031.68i | 0.0933573 | − | 0.161700i | ||||
\(345\) | −8262.02 | + | 1775.52i | −1.28931 | + | 0.277074i | ||||
\(346\) | −1814.03 | − | 3141.99i | −0.281857 | − | 0.488191i | ||||
\(347\) | −808.744 | − | 216.702i | −0.125117 | − | 0.0335251i | 0.195717 | − | 0.980660i | \(-0.437297\pi\) |
−0.320834 | + | 0.947135i | \(0.603963\pi\) | |||||||
\(348\) | 162.809 | − | 852.674i | 0.0250789 | − | 0.131345i | ||||
\(349\) | 3705.03 | + | 2139.10i | 0.568269 | + | 0.328090i | 0.756458 | − | 0.654043i | \(-0.226928\pi\) |
−0.188189 | + | 0.982133i | \(0.560262\pi\) | |||||||
\(350\) | 494.884 | − | 140.754i | 0.0755791 | − | 0.0214960i | ||||
\(351\) | 3795.32 | + | 4131.67i | 0.577149 | + | 0.628297i | ||||
\(352\) | 2066.36 | + | 2066.36i | 0.312891 | + | 0.312891i | ||||
\(353\) | 3611.88 | − | 967.800i | 0.544592 | − | 0.145923i | 0.0239736 | − | 0.999713i | \(-0.492368\pi\) |
0.520618 | + | 0.853790i | \(0.325702\pi\) | |||||||
\(354\) | −2947.70 | + | 2002.51i | −0.442566 | + | 0.300656i | ||||
\(355\) | 4146.97 | − | 3232.78i | 0.619995 | − | 0.483319i | ||||
\(356\) | 1067.87 | − | 616.535i | 0.158980 | − | 0.0917874i | ||||
\(357\) | −340.680 | + | 394.544i | −0.0505062 | + | 0.0584916i | ||||
\(358\) | −1687.51 | − | 6297.86i | −0.249127 | − | 0.929755i | ||||
\(359\) | 325.208 | 0.0478102 | 0.0239051 | − | 0.999714i | \(-0.492390\pi\) | ||||
0.0239051 | + | 0.999714i | \(0.492390\pi\) | |||||||
\(360\) | 3437.43 | − | 6283.43i | 0.503246 | − | 0.919906i | ||||
\(361\) | 6849.67 | 0.998640 | ||||||||
\(362\) | 1986.02 | + | 7411.94i | 0.288351 | + | 1.07614i | ||||
\(363\) | 6385.01 | + | 18345.4i | 0.923212 | + | 2.65258i | ||||
\(364\) | 48.8054 | − | 28.1778i | 0.00702774 | − | 0.00405747i | ||||
\(365\) | 6988.75 | + | 865.747i | 1.00221 | + | 0.124151i | ||||
\(366\) | −3788.20 | − | 1832.09i | −0.541017 | − | 0.261653i | ||||
\(367\) | 3038.52 | − | 814.170i | 0.432179 | − | 0.115802i | −0.0361698 | − | 0.999346i | \(-0.511516\pi\) |
0.468349 | + | 0.883544i | \(0.344849\pi\) | |||||||
\(368\) | −5747.35 | − | 5747.35i | −0.814134 | − | 0.814134i | ||||
\(369\) | 2452.40 | − | 361.275i | 0.345980 | − | 0.0509680i | ||||
\(370\) | −1100.84 | + | 153.504i | −0.154675 | + | 0.0215684i | ||||
\(371\) | 345.587 | + | 199.525i | 0.0483611 | + | 0.0279213i | ||||
\(372\) | −640.357 | − | 552.934i | −0.0892500 | − | 0.0770654i | ||||
\(373\) | −1752.69 | − | 469.631i | −0.243299 | − | 0.0651918i | 0.135109 | − | 0.990831i | \(-0.456862\pi\) |
−0.378408 | + | 0.925639i | \(0.623528\pi\) | |||||||
\(374\) | −6150.27 | − | 10652.6i | −0.850329 | − | 1.47281i | ||||
\(375\) | −7075.58 | + | 1634.19i | −0.974350 | + | 0.225038i | ||||
\(376\) | 1757.22 | − | 3043.60i | 0.241016 | − | 0.417451i | ||||
\(377\) | 5182.17 | − | 5182.17i | 0.707945 | − | 0.707945i | ||||
\(378\) | 24.4804 | − | 576.953i | 0.00333105 | − | 0.0785059i | ||||
\(379\) | − | 12501.2i | − | 1.69431i | −0.531345 | − | 0.847155i | \(-0.678313\pi\) | ||
0.531345 | − | 0.847155i | \(-0.321687\pi\) | |||||||
\(380\) | −11.6906 | + | 28.8458i | −0.00157820 | + | 0.00389411i | ||||
\(381\) | −6029.05 | − | 8874.77i | −0.810702 | − | 1.19335i | ||||
\(382\) | 1157.58 | − | 4320.15i | 0.155044 | − | 0.578633i | ||||
\(383\) | −319.753 | + | 1193.34i | −0.0426596 | + | 0.159208i | −0.983970 | − | 0.178335i | \(-0.942929\pi\) |
0.941310 | + | 0.337543i | \(0.109596\pi\) | |||||||
\(384\) | 5973.68 | − | 437.644i | 0.793862 | − | 0.0581600i | ||||
\(385\) | −479.639 | − | 1133.35i | −0.0634926 | − | 0.150028i | ||||
\(386\) | 518.587i | 0.0683818i | ||||||||
\(387\) | −156.280 | + | 1346.62i | −0.0205275 | + | 0.176880i | ||||
\(388\) | 191.916 | − | 191.916i | 0.0251110 | − | 0.0251110i | ||||
\(389\) | −1415.73 | + | 2452.12i | −0.184526 | + | 0.319608i | −0.943417 | − | 0.331610i | \(-0.892408\pi\) |
0.758891 | + | 0.651218i | \(0.225742\pi\) | |||||||
\(390\) | 5504.70 | − | 2820.35i | 0.714722 | − | 0.366190i | ||||
\(391\) | −4719.53 | − | 8174.46i | −0.610426 | − | 1.05729i | ||||
\(392\) | 7806.03 | + | 2091.62i | 1.00578 | + | 0.269497i | ||||
\(393\) | −7474.40 | + | 2601.42i | −0.959373 | + | 0.333903i | ||||
\(394\) | 10929.4 | + | 6310.07i | 1.39750 | + | 0.806844i | ||||
\(395\) | −240.148 | − | 1722.19i | −0.0305902 | − | 0.219374i | ||||
\(396\) | −1629.09 | − | 645.654i | −0.206730 | − | 0.0819326i | ||||
\(397\) | −3719.83 | − | 3719.83i | −0.470260 | − | 0.470260i | 0.431739 | − | 0.901999i | \(-0.357900\pi\) |
−0.901999 | + | 0.431739i | \(0.857900\pi\) | |||||||
\(398\) | 4377.29 | − | 1172.89i | 0.551291 | − | 0.147718i | ||||
\(399\) | 1.79255 | + | 24.4676i | 0.000224912 | + | 0.00306996i | ||||
\(400\) | −5013.82 | − | 4862.69i | −0.626727 | − | 0.607836i | ||||
\(401\) | −3644.58 | + | 2104.20i | −0.453870 | + | 0.262042i | −0.709463 | − | 0.704743i | \(-0.751062\pi\) |
0.255593 | + | 0.966784i | \(0.417729\pi\) | |||||||
\(402\) | −3256.72 | − | 621.835i | −0.404056 | − | 0.0771501i | ||||
\(403\) | −1848.66 | − | 6899.31i | −0.228508 | − | 0.852802i | ||||
\(404\) | −1091.19 | −0.134378 | ||||||||
\(405\) | −753.030 | + | 8115.61i | −0.0923910 | + | 0.995723i | ||||
\(406\) | −754.350 | −0.0922113 | ||||||||
\(407\) | 688.089 | + | 2567.98i | 0.0838018 | + | 0.312752i | ||||
\(408\) | 7857.97 | + | 1500.39i | 0.953499 | + | 0.182060i | ||||
\(409\) | −8758.07 | + | 5056.47i | −1.05882 | + | 0.611312i | −0.925106 | − | 0.379708i | \(-0.876024\pi\) |
−0.133716 | + | 0.991020i | \(0.542691\pi\) | |||||||
\(410\) | 335.972 | − | 2712.14i | 0.0404695 | − | 0.326691i | ||||
\(411\) | 454.891 | + | 6209.09i | 0.0545939 | + | 0.745187i | ||||
\(412\) | −418.436 | + | 112.119i | −0.0500360 | + | 0.0134071i | ||||
\(413\) | −281.593 | − | 281.593i | −0.0335504 | − | 0.0335504i | ||||
\(414\) | 9721.01 | + | 3852.70i | 1.15401 | + | 0.457366i | ||||
\(415\) | 7448.50 | + | 5625.43i | 0.881042 | + | 0.665401i | ||||
\(416\) | −1421.40 | − | 820.647i | −0.167524 | − | 0.0967200i | ||||
\(417\) | 1483.64 | − | 516.370i | 0.174230 | − | 0.0606397i | ||||
\(418\) | −559.185 | − | 149.833i | −0.0654322 | − | 0.0175325i | ||||
\(419\) | 6057.57 | + | 10492.0i | 0.706281 | + | 1.22331i | 0.966227 | + | 0.257691i | \(0.0829618\pi\) |
−0.259946 | + | 0.965623i | \(0.583705\pi\) | |||||||
\(420\) | 77.9215 | + | 25.1252i | 0.00905281 | + | 0.00291901i | ||||
\(421\) | 4457.66 | − | 7720.89i | 0.516040 | − | 0.893808i | −0.483786 | − | 0.875186i | \(-0.660739\pi\) |
0.999827 | − | 0.0186217i | \(-0.00592782\pi\) | |||||||
\(422\) | −2370.90 | + | 2370.90i | −0.273492 | + | 0.273492i | ||||
\(423\) | −461.046 | + | 3972.70i | −0.0529948 | + | 0.456642i | ||||
\(424\) | − | 6124.15i | − | 0.701450i | ||||||
\(425\) | −4162.60 | − | 6961.63i | −0.475096 | − | 0.794562i | ||||
\(426\) | −6488.93 | + | 475.393i | −0.738004 | + | 0.0540677i | ||||
\(427\) | 121.709 | − | 454.223i | 0.0137937 | − | 0.0514787i | ||||
\(428\) | 362.055 | − | 1351.21i | 0.0408893 | − | 0.152601i | ||||
\(429\) | −8313.52 | − | 12237.5i | −0.935619 | − | 1.37723i | ||||
\(430\) | 1385.14 | + | 561.368i | 0.155343 | + | 0.0629571i | ||||
\(431\) | − | 11279.2i | − | 1.26056i | −0.776368 | − | 0.630279i | \(-0.782940\pi\) | ||
0.776368 | − | 0.630279i | \(-0.217060\pi\) | |||||||
\(432\) | −6949.05 | + | 3628.30i | −0.773927 | + | 0.404090i | ||||
\(433\) | 1968.81 | − | 1968.81i | 0.218510 | − | 0.218510i | −0.589360 | − | 0.807870i | \(-0.700620\pi\) |
0.807870 | + | 0.589360i | \(0.200620\pi\) | |||||||
\(434\) | −367.603 | + | 636.706i | −0.0406578 | + | 0.0704214i | ||||
\(435\) | 10633.6 | + | 533.378i | 1.17205 | + | 0.0587897i | ||||
\(436\) | 382.196 | + | 661.983i | 0.0419814 | + | 0.0727138i | ||||
\(437\) | −429.101 | − | 114.977i | −0.0469718 | − | 0.0125861i | ||||
\(438\) | −6595.34 | − | 5694.93i | −0.719492 | − | 0.621265i | ||||
\(439\) | −4264.82 | − | 2462.29i | −0.463664 | − | 0.267697i | 0.249919 | − | 0.968267i | \(-0.419596\pi\) |
−0.713584 | + | 0.700570i | \(0.752929\pi\) | |||||||
\(440\) | −11382.6 | + | 15071.4i | −1.23328 | + | 1.63296i | ||||
\(441\) | −9098.27 | + | 1340.31i | −0.982429 | + | 0.144726i | ||||
\(442\) | 4885.10 | + | 4885.10i | 0.525703 | + | 0.525703i | ||||
\(443\) | 8764.22 | − | 2348.37i | 0.939957 | − | 0.251861i | 0.243861 | − | 0.969810i | \(-0.421586\pi\) |
0.696095 | + | 0.717949i | \(0.254919\pi\) | |||||||
\(444\) | −159.223 | − | 77.0052i | −0.0170189 | − | 0.00823086i | ||||
\(445\) | 9298.17 | + | 11927.5i | 0.990506 | + | 1.27061i | ||||
\(446\) | 694.997 | − | 401.257i | 0.0737872 | − | 0.0426010i | ||||
\(447\) | 3809.21 | + | 10944.6i | 0.403063 | + | 1.15808i | ||||
\(448\) | 222.590 | + | 830.717i | 0.0234741 | + | 0.0876065i | ||||
\(449\) | 5958.93 | 0.626323 | 0.313162 | − | 0.949700i | \(-0.398612\pi\) | ||||
0.313162 | + | 0.949700i | \(0.398612\pi\) | |||||||
\(450\) | 8403.17 | + | 3182.52i | 0.880287 | + | 0.333389i | ||||
\(451\) | −6536.77 | −0.682494 | ||||||||
\(452\) | 29.9567 | + | 111.800i | 0.00311736 | + | 0.0116341i | ||||
\(453\) | 5691.05 | − | 6590.85i | 0.590263 | − | 0.683588i | ||||
\(454\) | 10935.6 | − | 6313.69i | 1.13047 | − | 0.652679i | ||||
\(455\) | 424.959 | + | 545.130i | 0.0437854 | + | 0.0561673i | ||||
\(456\) | 311.439 | − | 211.575i | 0.0319834 | − | 0.0217279i | ||||
\(457\) | −13853.7 | + | 3712.09i | −1.41805 | + | 0.379966i | −0.884792 | − | 0.465986i | \(-0.845700\pi\) |
−0.533259 | + | 0.845952i | \(0.679033\pi\) | |||||||
\(458\) | −1810.16 | − | 1810.16i | −0.184679 | − | 0.184679i | ||||
\(459\) | −8885.54 | + | 1981.33i | −0.903576 | + | 0.201483i | ||||
\(460\) | −893.469 | + | 1183.02i | −0.0905613 | + | 0.119910i | ||||
\(461\) | −681.107 | − | 393.237i | −0.0688120 | − | 0.0397286i | 0.465199 | − | 0.885206i | \(-0.345983\pi\) |
−0.534011 | + | 0.845477i | \(0.679316\pi\) | |||||||
\(462\) | −285.601 | + | 1495.77i | −0.0287605 | + | 0.150627i | ||||
\(463\) | −4093.92 | − | 1096.96i | −0.410930 | − | 0.110108i | 0.0474312 | − | 0.998875i | \(-0.484897\pi\) |
−0.458361 | + | 0.888766i | \(0.651563\pi\) | |||||||
\(464\) | 5120.20 | + | 8868.45i | 0.512283 | + | 0.887301i | ||||
\(465\) | 5632.04 | − | 8715.30i | 0.561677 | − | 0.869167i | ||||
\(466\) | −5675.70 | + | 9830.60i | −0.564210 | + | 0.977240i | ||||
\(467\) | −10534.2 | + | 10534.2i | −1.04383 | + | 1.04383i | −0.0448309 | + | 0.998995i | \(0.514275\pi\) |
−0.998995 | + | 0.0448309i | \(0.985725\pi\) | |||||||
\(468\) | 977.656 | + | 113.460i | 0.0965644 | + | 0.0112066i | ||||
\(469\) | − | 370.518i | − | 0.0364796i | ||||||
\(470\) | 4086.34 | + | 1656.11i | 0.401040 | + | 0.162533i | ||||
\(471\) | 1097.63 | − | 2269.56i | 0.107381 | − | 0.222030i | ||||
\(472\) | −1581.80 | + | 5903.37i | −0.154255 | + | 0.575688i | ||||
\(473\) | 925.246 | − | 3453.07i | 0.0899426 | − | 0.335670i | ||||
\(474\) | −936.783 | + | 1936.98i | −0.0907761 | + | 0.187697i | ||||
\(475\) | −370.205 | − | 93.1494i | −0.0357604 | − | 0.00899787i | ||||
\(476\) | 91.4479i | 0.00880569i | ||||||||
\(477\) | 2765.58 | + | 6396.93i | 0.265466 | + | 0.614036i | ||||
\(478\) | −10469.5 | + | 10469.5i | −1.00181 | + | 1.00181i | ||||
\(479\) | 4528.85 | − | 7844.19i | 0.432001 | − | 0.748247i | −0.565045 | − | 0.825060i | \(-0.691141\pi\) |
0.997045 | + | 0.0768132i | \(0.0244745\pi\) | |||||||
\(480\) | −500.979 | − | 2331.21i | −0.0476384 | − | 0.221676i | ||||
\(481\) | −746.591 | − | 1293.13i | −0.0707726 | − | 0.122582i | ||||
\(482\) | −6755.26 | − | 1810.07i | −0.638368 | − | 0.171050i | ||||
\(483\) | −219.161 | + | 1147.81i | −0.0206463 | + | 0.108131i | ||||
\(484\) | 2951.17 | + | 1703.86i | 0.277157 | + | 0.160017i | ||||
\(485\) | 2656.37 | + | 2006.20i | 0.248700 | + | 0.187829i | ||||
\(486\) | 6353.58 | − | 7832.20i | 0.593012 | − | 0.731020i | ||||
\(487\) | −1647.82 | − | 1647.82i | −0.153326 | − | 0.153326i | 0.626276 | − | 0.779602i | \(-0.284578\pi\) |
−0.779602 | + | 0.626276i | \(0.784578\pi\) | |||||||
\(488\) | −6970.90 | + | 1867.85i | −0.646635 | + | 0.173265i | ||||
\(489\) | −15278.7 | + | 10379.6i | −1.41294 | + | 0.959877i | ||||
\(490\) | −1246.44 | + | 10061.9i | −0.114915 | + | 0.927655i | ||||
\(491\) | −3966.40 | + | 2290.00i | −0.364564 | + | 0.210481i | −0.671081 | − | 0.741384i | \(-0.734170\pi\) |
0.306517 | + | 0.951865i | \(0.400836\pi\) | |||||||
\(492\) | 284.210 | − | 329.146i | 0.0260430 | − | 0.0301606i | ||||
\(493\) | 3077.93 | + | 11487.0i | 0.281183 | + | 1.04939i | ||||
\(494\) | 325.144 | 0.0296132 | ||||||||
\(495\) | 5083.54 | − | 20883.0i | 0.461592 | − | 1.89620i | ||||
\(496\) | 9980.51 | 0.903504 | ||||||||
\(497\) | −188.185 | − | 702.316i | −0.0169844 | − | 0.0633867i | ||||
\(498\) | −3796.47 | − | 10908.0i | −0.341614 | − | 0.981526i | ||||
\(499\) | 2616.51 | − | 1510.64i | 0.234731 | − | 0.135522i | −0.378022 | − | 0.925797i | \(-0.623395\pi\) |
0.612753 | + | 0.790275i | \(0.290062\pi\) | |||||||
\(500\) | −752.135 | + | 1028.23i | −0.0672730 | + | 0.0919675i | ||||
\(501\) | 7893.01 | + | 3817.31i | 0.703859 | + | 0.340409i | ||||
\(502\) | 4351.61 | − | 1166.01i | 0.386896 | − | 0.103668i | ||||
\(503\) | −4876.93 | − | 4876.93i | −0.432310 | − | 0.432310i | 0.457104 | − | 0.889413i | \(-0.348887\pi\) |
−0.889413 | + | 0.457104i | \(0.848887\pi\) | |||||||
\(504\) | −614.906 | − | 776.368i | −0.0543454 | − | 0.0686155i | ||||
\(505\) | −1848.35 | − | 13255.2i | −0.162872 | − | 1.16801i | ||||
\(506\) | −23879.9 | − | 13787.1i | −2.09801 | − | 1.21129i | ||||
\(507\) | −2351.45 | − | 2030.42i | −0.205979 | − | 0.177858i | ||||
\(508\) | −1818.06 | − | 487.149i | −0.158786 | − | 0.0425467i | ||||
\(509\) | −5209.57 | − | 9023.23i | −0.453654 | − | 0.785752i | 0.544956 | − | 0.838465i | \(-0.316547\pi\) |
−0.998610 | + | 0.0527129i | \(0.983213\pi\) | |||||||
\(510\) | −502.803 | + | 10024.0i | −0.0436559 | + | 0.870335i | ||||
\(511\) | 486.891 | − | 843.320i | 0.0421503 | − | 0.0730064i | ||||
\(512\) | 9121.19 | − | 9121.19i | 0.787311 | − | 0.787311i | ||||
\(513\) | −229.766 | + | 361.640i | −0.0197747 | + | 0.0311244i | ||||
\(514\) | 17778.0i | 1.52559i | ||||||||
\(515\) | −2070.74 | − | 4893.00i | −0.177180 | − | 0.418663i | ||||
\(516\) | 133.644 | + | 196.723i | 0.0114018 | + | 0.0167835i | ||||
\(517\) | 2729.59 | − | 10187.0i | 0.232200 | − | 0.866582i | ||||
\(518\) | −39.7792 | + | 148.458i | −0.00337412 | + | 0.0125924i | ||||
\(519\) | 7061.84 | − | 517.365i | 0.597265 | − | 0.0437569i | ||||
\(520\) | 3984.31 | − | 9831.04i | 0.336007 | − | 0.829076i | ||||
\(521\) | 523.372i | 0.0440102i | 0.999758 | + | 0.0220051i | \(0.00700501\pi\) | ||||
−0.999758 | + | 0.0220051i | \(0.992995\pi\) | |||||||
\(522\) | −10573.8 | − | 7858.48i | −0.886598 | − | 0.658920i | ||||
\(523\) | −14550.3 | + | 14550.3i | −1.21652 | + | 1.21652i | −0.247683 | + | 0.968841i | \(0.579669\pi\) |
−0.968841 | + | 0.247683i | \(0.920331\pi\) | |||||||
\(524\) | −694.196 | + | 1202.38i | −0.0578742 | + | 0.100241i | ||||
\(525\) | −173.217 | + | 989.105i | −0.0143997 | + | 0.0822249i | ||||
\(526\) | 6256.26 | + | 10836.2i | 0.518604 | + | 0.898249i | ||||
\(527\) | 11195.5 | + | 2999.82i | 0.925393 | + | 0.247958i | ||||
\(528\) | 19523.4 | − | 6795.01i | 1.60918 | − | 0.560066i | ||||
\(529\) | −7787.77 | − | 4496.27i | −0.640074 | − | 0.369547i | ||||
\(530\) | 7609.65 | − | 1061.12i | 0.623664 | − | 0.0869659i | ||||
\(531\) | −1013.62 | − | 6880.64i | −0.0828388 | − | 0.562325i | ||||
\(532\) | 3.04331 | + | 3.04331i | 0.000248016 | + | 0.000248016i | ||||
\(533\) | 3546.27 | − | 950.220i | 0.288191 | − | 0.0772206i | ||||
\(534\) | −1367.33 | − | 18663.5i | −0.110805 | − | 1.51245i | ||||
\(535\) | 17027.0 | + | 2109.26i | 1.37596 | + | 0.170451i | ||||
\(536\) | −4924.47 | + | 2843.14i | −0.396837 | + | 0.229114i | ||||
\(537\) | 12499.1 | + | 2386.57i | 1.00443 | + | 0.191784i | ||||
\(538\) | 98.7630 | + | 368.588i | 0.00791445 | + | 0.0295371i | ||||
\(539\) | 24251.1 | 1.93798 | ||||||||
\(540\) | 830.493 | + | 1163.93i | 0.0661828 | + | 0.0927551i | ||||
\(541\) | 19374.8 | 1.53972 | 0.769858 | − | 0.638216i | \(-0.220327\pi\) | ||||
0.769858 | + | 0.638216i | \(0.220327\pi\) | |||||||
\(542\) | 5134.39 | + | 19161.8i | 0.406902 | + | 1.51858i | ||||
\(543\) | −14710.2 | − | 2808.75i | −1.16257 | − | 0.221980i | ||||
\(544\) | 2306.50 | − | 1331.66i | 0.181784 | − | 0.104953i | ||||
\(545\) | −7394.00 | + | 5764.02i | −0.581145 | + | 0.453034i | ||||
\(546\) | −62.4917 | − | 852.988i | −0.00489817 | − | 0.0668581i | ||||
\(547\) | −10194.1 | + | 2731.50i | −0.796832 | + | 0.213511i | −0.634193 | − | 0.773175i | \(-0.718667\pi\) |
−0.162640 | + | 0.986686i | \(0.552001\pi\) | |||||||
\(548\) | 772.293 | + | 772.293i | 0.0602021 | + | 0.0602021i | ||||
\(549\) | 6437.90 | − | 5099.01i | 0.500479 | − | 0.396394i | ||||
\(550\) | −20699.5 | − | 11532.2i | −1.60478 | − | 0.894064i | ||||
\(551\) | 484.709 | + | 279.847i | 0.0374761 | + | 0.0216368i | ||||
\(552\) | 16937.0 | − | 5894.80i | 1.30595 | − | 0.454528i | ||||
\(553\) | −232.253 | − | 62.2319i | −0.0178597 | − | 0.00478548i | ||||
\(554\) | −2930.49 | − | 5075.76i | −0.224737 | − | 0.389257i | ||||
\(555\) | 665.711 | − | 2064.59i | 0.0509150 | − | 0.157904i | ||||
\(556\) | 137.795 | − | 238.668i | 0.0105104 | − | 0.0182046i | ||||
\(557\) | −935.942 | + | 935.942i | −0.0711977 | + | 0.0711977i | −0.741809 | − | 0.670611i | \(-0.766032\pi\) |
0.670611 | + | 0.741809i | \(0.266032\pi\) | |||||||
\(558\) | −11785.7 | + | 5095.28i | −0.894133 | + | 0.386560i | ||||
\(559\) | 2007.82i | 0.151917i | ||||||||
\(560\) | −889.444 | + | 376.417i | −0.0671176 | + | 0.0284045i | ||||
\(561\) | 23942.5 | − | 1754.07i | 1.80187 | − | 0.132009i | ||||
\(562\) | −1397.61 | + | 5215.95i | −0.104901 | + | 0.391498i | ||||
\(563\) | −21.9336 | + | 81.8572i | −0.00164190 | + | 0.00612765i | −0.966742 | − | 0.255754i | \(-0.917676\pi\) |
0.965100 | + | 0.261882i | \(0.0843430\pi\) | |||||||
\(564\) | 394.266 | + | 580.359i | 0.0294354 | + | 0.0433290i | ||||
\(565\) | −1307.34 | + | 553.273i | −0.0973454 | + | 0.0411971i | ||||
\(566\) | − | 15437.7i | − | 1.14646i | ||||||
\(567\) | 992.893 | + | 533.266i | 0.0735407 | + | 0.0394975i | ||||
\(568\) | −7890.29 | + | 7890.29i | −0.582868 | + | 0.582868i | ||||
\(569\) | −4295.92 | + | 7440.75i | −0.316510 | + | 0.548212i | −0.979757 | − | 0.200189i | \(-0.935845\pi\) |
0.663247 | + | 0.748401i | \(0.269178\pi\) | |||||||
\(570\) | 316.858 | + | 350.324i | 0.0232837 | + | 0.0257429i | ||||
\(571\) | 5232.69 | + | 9063.28i | 0.383505 | + | 0.664249i | 0.991561 | − | 0.129645i | \(-0.0413837\pi\) |
−0.608056 | + | 0.793894i | \(0.708050\pi\) | |||||||
\(572\) | −2506.95 | − | 671.735i | −0.183253 | − | 0.0491025i | ||||
\(573\) | 6606.78 | + | 5704.81i | 0.481679 | + | 0.415919i | ||||
\(574\) | −327.269 | − | 188.949i | −0.0237978 | − | 0.0137397i | ||||
\(575\) | −15884.1 | − | 8849.46i | −1.15202 | − | 0.641822i | ||||
\(576\) | −5533.96 | + | 13963.1i | −0.400315 | + | 1.01006i | ||||
\(577\) | 1229.42 | + | 1229.42i | 0.0887029 | + | 0.0887029i | 0.750066 | − | 0.661363i | \(-0.230022\pi\) |
−0.661363 | + | 0.750066i | \(0.730022\pi\) | |||||||
\(578\) | 1806.20 | − | 483.970i | 0.129979 | − | 0.0348278i | ||||
\(579\) | −911.147 | − | 440.660i | −0.0653990 | − | 0.0316290i | ||||
\(580\) | 1473.09 | − | 1148.35i | 0.105460 | − | 0.0822115i | ||||
\(581\) | 1117.79 | − | 645.354i | 0.0798168 | − | 0.0460822i | ||||
\(582\) | −1353.94 | − | 3890.14i | −0.0964305 | − | 0.277064i | ||||
\(583\) | −4756.49 | − | 17751.5i | −0.337897 | − | 1.26105i | ||||
\(584\) | −14944.5 | −1.05892 | ||||||||
\(585\) | 277.781 | + | 12068.2i | 0.0196322 | + | 0.852920i | ||||
\(586\) | 17826.1 | 1.25664 | ||||||||
\(587\) | −4593.13 | − | 17141.8i | −0.322962 | − | 1.20531i | −0.916345 | − | 0.400390i | \(-0.868875\pi\) |
0.593383 | − | 0.804920i | \(-0.297792\pi\) | |||||||
\(588\) | −1054.40 | + | 1221.11i | −0.0739506 | + | 0.0856427i | ||||
\(589\) | 472.408 | − | 272.745i | 0.0330479 | − | 0.0190802i | ||||
\(590\) | −7609.40 | − | 942.631i | −0.530973 | − | 0.0657754i | ||||
\(591\) | −20373.7 | + | 13840.8i | −1.41804 | + | 0.963341i | ||||
\(592\) | 2015.34 | − | 540.008i | 0.139915 | − | 0.0374902i | ||||
\(593\) | 4295.56 | + | 4295.56i | 0.297466 | + | 0.297466i | 0.840021 | − | 0.542555i | \(-0.182543\pi\) |
−0.542555 | + | 0.840021i | \(0.682543\pi\) | |||||||
\(594\) | −19585.6 | + | 17991.2i | −1.35287 | + | 1.24274i | ||||
\(595\) | −1110.86 | + | 154.902i | −0.0765390 | + | 0.0106729i | ||||
\(596\) | 1760.63 | + | 1016.50i | 0.121003 | + | 0.0698614i | ||||
\(597\) | −1658.77 | + | 8687.46i | −0.113717 | + | 0.595568i | ||||
\(598\) | 14959.3 | + | 4008.33i | 1.02296 | + | 0.274101i | ||||
\(599\) | 189.493 | + | 328.212i | 0.0129257 | + | 0.0223879i | 0.872416 | − | 0.488764i | \(-0.162552\pi\) |
−0.859490 | + | 0.511152i | \(0.829219\pi\) | |||||||
\(600\) | 14475.1 | − | 5287.63i | 0.984907 | − | 0.359778i | ||||
\(601\) | 10568.0 | − | 18304.3i | 0.717267 | − | 1.24234i | −0.244811 | − | 0.969571i | \(-0.578726\pi\) |
0.962078 | − | 0.272773i | \(-0.0879407\pi\) | |||||||
\(602\) | 146.136 | − | 146.136i | 0.00989378 | − | 0.00989378i | ||||
\(603\) | 3859.89 | − | 5193.61i | 0.260675 | − | 0.350746i | ||||
\(604\) | − | 1527.64i | − | 0.102912i | ||||||
\(605\) | −15698.6 | + | 38735.3i | −1.05494 | + | 2.60299i | ||||
\(606\) | −7210.13 | + | 14908.3i | −0.483320 | + | 0.999355i | ||||
\(607\) | 5611.20 | − | 20941.3i | 0.375209 | − | 1.40030i | −0.477831 | − | 0.878452i | \(-0.658577\pi\) |
0.853040 | − | 0.521846i | \(-0.174756\pi\) | |||||||
\(608\) | 32.4419 | − | 121.075i | 0.00216397 | − | 0.00807605i | ||||
\(609\) | 640.995 | − | 1325.38i | 0.0426509 | − | 0.0881889i | ||||
\(610\) | −3528.75 | − | 8338.16i | −0.234221 | − | 0.553446i | ||||
\(611\) | 5923.33i | 0.392197i | ||||||||
\(612\) | −952.663 | + | 1281.84i | −0.0629234 | + | 0.0846654i | ||||
\(613\) | 9303.05 | − | 9303.05i | 0.612964 | − | 0.612964i | −0.330754 | − | 0.943717i | \(-0.607303\pi\) |
0.943717 | + | 0.330754i | \(0.107303\pi\) | |||||||
\(614\) | 1759.14 | − | 3046.92i | 0.115624 | − | 0.200267i | ||||
\(615\) | 4479.69 | + | 2894.89i | 0.293721 | + | 0.189810i | ||||
\(616\) | 1305.82 | + | 2261.75i | 0.0854107 | + | 0.147936i | ||||
\(617\) | −19370.4 | − | 5190.29i | −1.26390 | − | 0.338660i | −0.436207 | − | 0.899846i | \(-0.643679\pi\) |
−0.827690 | + | 0.561186i | \(0.810345\pi\) | |||||||
\(618\) | −1233.02 | + | 6457.69i | −0.0802581 | + | 0.420334i | ||||
\(619\) | 11987.0 | + | 6920.68i | 0.778347 | + | 0.449379i | 0.835844 | − | 0.548967i | \(-0.184979\pi\) |
−0.0574971 | + | 0.998346i | \(0.518312\pi\) | |||||||
\(620\) | −251.411 | − | 1802.96i | −0.0162853 | − | 0.116788i | ||||
\(621\) | −15029.4 | + | 13805.9i | −0.971187 | + | 0.892126i | ||||
\(622\) | −15556.4 | − | 15556.4i | −1.00282 | − | 1.00282i | ||||
\(623\) | 2020.01 | − | 541.259i | 0.129904 | − | 0.0348075i | ||||
\(624\) | −9603.91 | + | 6524.39i | −0.616129 | + | 0.418565i | ||||
\(625\) | −13764.3 | − | 7394.82i | −0.880918 | − | 0.473268i | ||||
\(626\) | 18788.3 | − | 10847.4i | 1.19957 | − | 0.692572i | ||||
\(627\) | 738.411 | − | 855.160i | 0.0470324 | − | 0.0544686i | ||||
\(628\) | −114.468 | − | 427.202i | −0.00727354 | − | 0.0271452i | ||||
\(629\) | 2422.98 | 0.153594 | ||||||||
\(630\) | 858.145 | − | 898.581i | 0.0542687 | − | 0.0568259i | ||||
\(631\) | −27232.2 | −1.71806 | −0.859032 | − | 0.511922i | \(-0.828934\pi\) | ||||
−0.859032 | + | 0.511922i | \(0.828934\pi\) | |||||||
\(632\) | 955.064 | + | 3564.35i | 0.0601114 | + | 0.224339i | ||||
\(633\) | −2151.00 | − | 6180.25i | −0.135062 | − | 0.388061i | ||||
\(634\) | −15005.0 | + | 8663.16i | −0.939946 | + | 0.542678i | ||||
\(635\) | 2838.02 | − | 22910.0i | 0.177360 | − | 1.43174i | ||||
\(636\) | 1100.64 | + | 532.306i | 0.0686217 | + | 0.0331876i | ||||
\(637\) | −13156.5 | + | 3525.27i | −0.818334 | + | 0.219272i | ||||
\(638\) | 24565.3 | + | 24565.3i | 1.52437 | + | 1.52437i | ||||
\(639\) | 4678.59 | − | 11804.9i | 0.289644 | − | 0.730820i | ||||
\(640\) | 10284.3 | + | 7767.12i | 0.635189 | + | 0.479722i | ||||
\(641\) | 10303.5 | + | 5948.74i | 0.634891 | + | 0.366554i | 0.782644 | − | 0.622470i | \(-0.213871\pi\) |
−0.147753 | + | 0.989024i | \(0.547204\pi\) | |||||||
\(642\) | −16068.5 | − | 13874.8i | −0.987808 | − | 0.852951i | ||||
\(643\) | 7499.52 | + | 2009.49i | 0.459957 | + | 0.123245i | 0.481355 | − | 0.876526i | \(-0.340145\pi\) |
−0.0213976 | + | 0.999771i | \(0.506812\pi\) | |||||||
\(644\) | 102.500 | + | 177.534i | 0.00627181 | + | 0.0108631i | ||||
\(645\) | −2163.31 | + | 1956.65i | −0.132062 | + | 0.119447i | ||||
\(646\) | −263.805 | + | 456.924i | −0.0160670 | + | 0.0278288i | ||||
\(647\) | −1793.65 | + | 1793.65i | −0.108989 | + | 0.108989i | −0.759498 | − | 0.650509i | \(-0.774555\pi\) |
0.650509 | + | 0.759498i | \(0.274555\pi\) | |||||||
\(648\) | −531.373 | − | 17288.3i | −0.0322134 | − | 1.04807i | ||||
\(649\) | 18340.1i | 1.10926i | ||||||||
\(650\) | 12906.1 | + | 3247.36i | 0.778796 | + | 0.195957i | ||||
\(651\) | −806.317 | − | 1186.90i | −0.0485439 | − | 0.0714566i | ||||
\(652\) | −838.671 | + | 3129.96i | −0.0503756 | + | 0.188004i | ||||
\(653\) | 2589.01 | − | 9662.33i | 0.155155 | − | 0.579045i | −0.843938 | − | 0.536441i | \(-0.819768\pi\) |
0.999092 | − | 0.0426031i | \(-0.0135651\pi\) | |||||||
\(654\) | 11569.7 | − | 847.620i | 0.691760 | − | 0.0506798i | ||||
\(655\) | −15781.7 | − | 6396.00i | −0.941440 | − | 0.381546i | ||||
\(656\) | 5130.01i | 0.305325i | ||||||||
\(657\) | 15610.1 | − | 6748.72i | 0.926955 | − | 0.400750i | ||||
\(658\) | 431.120 | − | 431.120i | 0.0255422 | − | 0.0255422i | ||||
\(659\) | 2314.59 | − | 4008.99i | 0.136819 | − | 0.236977i | −0.789472 | − | 0.613787i | \(-0.789646\pi\) |
0.926291 | + | 0.376810i | \(0.122979\pi\) | |||||||
\(660\) | −1719.30 | − | 3355.70i | −0.101400 | − | 0.197910i | ||||
\(661\) | −6085.01 | − | 10539.6i | −0.358063 | − | 0.620183i | 0.629574 | − | 0.776940i | \(-0.283229\pi\) |
−0.987637 | + | 0.156757i | \(0.949896\pi\) | |||||||
\(662\) | 21672.5 | + | 5807.13i | 1.27239 | + | 0.340937i | ||||
\(663\) | −12734.1 | + | 4432.01i | −0.745927 | + | 0.259615i | ||||
\(664\) | −17154.5 | − | 9904.15i | −1.00259 | − | 0.578848i | ||||
\(665\) | −31.8134 | + | 42.1234i | −0.00185515 | + | 0.00245636i | ||||
\(666\) | −2104.16 | + | 1666.55i | −0.122424 | + | 0.0969634i | ||||
\(667\) | 18850.6 | + | 18850.6i | 1.09430 | + | 1.09430i | ||||
\(668\) | 1485.71 | − | 398.094i | 0.0860535 | − | 0.0230580i | ||||
\(669\) | 114.440 | + | 1562.06i | 0.00661359 | + | 0.0902730i | ||||
\(670\) | −4386.04 | − | 5626.35i | −0.252907 | − | 0.324425i | ||||
\(671\) | −18755.2 | + | 10828.3i | −1.07904 | + | 0.622983i | ||||
\(672\) | −323.865 | − | 61.8384i | −0.0185913 | − | 0.00354980i | ||||
\(673\) | 2016.19 | + | 7524.51i | 0.115480 | + | 0.430978i | 0.999322 | − | 0.0368070i | \(-0.0117187\pi\) |
−0.883842 | + | 0.467785i | \(0.845052\pi\) | |||||||
\(674\) | −1369.79 | −0.0782823 | ||||||||
\(675\) | −12732.1 | + | 12059.9i | −0.726010 | + | 0.687684i | ||||
\(676\) | −545.022 | −0.0310094 | ||||||||
\(677\) | 2421.22 | + | 9036.11i | 0.137452 | + | 0.512978i | 0.999976 | + | 0.00696137i | \(0.00221589\pi\) |
−0.862524 | + | 0.506017i | \(0.831117\pi\) | |||||||
\(678\) | 1725.40 | + | 329.446i | 0.0977340 | + | 0.0186612i | ||||
\(679\) | 398.637 | − | 230.153i | 0.0225306 | − | 0.0130081i | ||||
\(680\) | 10582.8 | + | 13575.5i | 0.596814 | + | 0.765584i | ||||
\(681\) | 1800.68 | + | 24578.6i | 0.101325 | + | 1.38305i | ||||
\(682\) | 32705.2 | − | 8763.33i | 1.83628 | − | 0.492031i | ||||
\(683\) | 15632.3 | + | 15632.3i | 0.875775 | + | 0.875775i | 0.993094 | − | 0.117320i | \(-0.0374302\pi\) |
−0.117320 | + | 0.993094i | \(0.537430\pi\) | |||||||
\(684\) | 10.9547 | + | 74.3624i | 0.000612372 | + | 0.00415690i | ||||
\(685\) | −8073.21 | + | 10689.6i | −0.450309 | + | 0.596243i | ||||
\(686\) | 2436.82 | + | 1406.90i | 0.135624 | + | 0.0783028i | ||||
\(687\) | 4718.56 | − | 1642.27i | 0.262044 | − | 0.0912028i | ||||
\(688\) | −2709.94 | − | 726.126i | −0.150168 | − | 0.0402374i | ||||
\(689\) | 5160.89 | + | 8938.93i | 0.285362 | + | 0.494261i | ||||
\(690\) | 10259.3 | + | 20023.9i | 0.566036 | + | 1.10478i | ||||
\(691\) | 5115.78 | − | 8860.78i | 0.281640 | − | 0.487815i | −0.690149 | − | 0.723667i | \(-0.742455\pi\) |
0.971789 | + | 0.235853i | \(0.0757883\pi\) | |||||||
\(692\) | 878.360 | − | 878.360i | 0.0482518 | − | 0.0482518i | ||||
\(693\) | −2385.36 | − | 1772.80i | −0.130754 | − | 0.0971762i | ||||
\(694\) | 2229.17i | 0.121928i | ||||||||
\(695\) | 3132.61 | + | 1269.58i | 0.170973 | + | 0.0692919i | ||||
\(696\) | −22533.9 | + | 1650.88i | −1.22722 | + | 0.0899088i | ||||
\(697\) | −1541.92 | + | 5754.51i | −0.0837937 | + | 0.312722i | ||||
\(698\) | 2948.03 | − | 11002.2i | 0.159864 | − | 0.596619i | ||||
\(699\) | −12449.4 | − | 18325.5i | −0.673645 | − | 0.991606i | ||||
\(700\) | 90.4042 | + | 151.194i | 0.00488137 | + | 0.00816371i | ||||
\(701\) | − | 24579.9i | − | 1.32435i | −0.749348 | − | 0.662176i | \(-0.769633\pi\) | ||
0.749348 | − | 0.662176i | \(-0.230367\pi\) | |||||||
\(702\) | 8010.09 | − | 12607.5i | 0.430657 | − | 0.677832i | ||||
\(703\) | 80.6347 | − | 80.6347i | 0.00432603 | − | 0.00432603i | ||||
\(704\) | 19803.6 | − | 34300.8i | 1.06019 | − | 1.83631i | ||||
\(705\) | −6382.04 | + | 5772.37i | −0.340938 | + | 0.308369i | ||||
\(706\) | −4977.76 | − | 8621.74i | −0.265355 | − | 0.459608i | ||||
\(707\) | −1787.58 | − | 478.980i | −0.0950903 | − | 0.0254794i | ||||
\(708\) | −923.478 | − | 797.402i | −0.0490204 | − | 0.0423280i | ||||
\(709\) | 29697.0 | + | 17145.6i | 1.57305 | + | 0.908203i | 0.995792 | + | 0.0916440i | \(0.0292122\pi\) |
0.577262 | + | 0.816559i | \(0.304121\pi\) | |||||||
\(710\) | −11171.3 | − | 8437.06i | −0.590496 | − | 0.445968i | ||||
\(711\) | −2607.21 | − | 3291.82i | −0.137522 | − | 0.173633i | ||||
\(712\) | −22694.1 | − | 22694.1i | −1.19452 | − | 1.19452i | ||||
\(713\) | 25096.9 | − | 6724.70i | 1.31821 | − | 0.353215i | ||||
\(714\) | 1249.40 | + | 604.250i | 0.0654870 | + | 0.0316716i | ||||
\(715\) | 3913.38 | − | 31590.8i | 0.204688 | − | 1.65235i | ||||
\(716\) | 1933.28 | − | 1116.18i | 0.100908 | − | 0.0582591i | ||||
\(717\) | −9498.47 | − | 27291.1i | −0.494738 | − | 1.42148i | ||||
\(718\) | −224.095 | − | 836.336i | −0.0116479 | − | 0.0434704i | ||||
\(719\) | −24579.6 | −1.27492 | −0.637459 | − | 0.770485i | \(-0.720014\pi\) | ||||
−0.637459 | + | 0.770485i | \(0.720014\pi\) | |||||||
\(720\) | −16388.8 | − | 3989.53i | −0.848298 | − | 0.206501i | ||||
\(721\) | −734.693 | −0.0379492 | ||||||||
\(722\) | −4719.99 | − | 17615.2i | −0.243296 | − | 0.907994i | ||||
\(723\) | 8920.40 | − | 10330.8i | 0.458857 | − | 0.531405i | ||||
\(724\) | −2275.27 | + | 1313.63i | −0.116795 | + | 0.0674317i | ||||
\(725\) | 16444.8 | + | 15949.1i | 0.842404 | + | 0.817011i | ||||
\(726\) | 42779.0 | − | 29061.8i | 2.18688 | − | 1.48565i | ||||
\(727\) | 744.411 | − | 199.464i | 0.0379761 | − | 0.0101757i | −0.239781 | − | 0.970827i | \(-0.577076\pi\) |
0.277757 | + | 0.960651i | \(0.410409\pi\) | |||||||
\(728\) | −1037.20 | − | 1037.20i | −0.0528039 | − | 0.0528039i | ||||
\(729\) | 8362.19 | + | 17818.4i | 0.424843 | + | 0.905267i | ||||
\(730\) | −2589.39 | − | 18569.5i | −0.131285 | − | 0.941490i | ||||
\(731\) | −2821.58 | − | 1629.04i | −0.142763 | − | 0.0824244i | ||||
\(732\) | 270.212 | − | 1415.18i | 0.0136439 | − | 0.0714569i | ||||
\(733\) | −6172.97 | − | 1654.04i | −0.311056 | − | 0.0833471i | 0.0999142 | − | 0.994996i | \(-0.468143\pi\) |
−0.410970 | + | 0.911649i | \(0.634810\pi\) | |||||||
\(734\) | −4187.59 | − | 7253.12i | −0.210581 | − | 0.364738i | ||||
\(735\) | −16619.4 | − | 10739.9i | −0.834037 | − | 0.538975i | ||||
\(736\) | 2985.18 | − | 5170.49i | 0.149504 | − | 0.258949i | ||||
\(737\) | −12065.9 | + | 12065.9i | −0.603056 | + | 0.603056i | ||||
\(738\) | −2618.99 | − | 6057.86i | −0.130632 | − | 0.302159i | ||||
\(739\) | 11521.7i | 0.573521i | 0.958002 | + | 0.286760i | \(0.0925784\pi\) | ||||
−0.958002 | + | 0.286760i | \(0.907422\pi\) | |||||||
\(740\) | −148.318 | − | 350.463i | −0.00736794 | − | 0.0174098i | ||||
\(741\) | −276.285 | + | 571.272i | −0.0136972 | + | 0.0283215i | ||||
\(742\) | 274.978 | − | 1026.23i | 0.0136048 | − | 0.0507738i | ||||
\(743\) | −6256.61 | + | 23350.0i | −0.308927 | + | 1.15293i | 0.620585 | + | 0.784139i | \(0.286895\pi\) |
−0.929512 | + | 0.368792i | \(0.879771\pi\) | |||||||
\(744\) | −9587.59 | + | 19824.2i | −0.472443 | + | 0.976866i | ||||
\(745\) | −9365.55 | + | 23108.9i | −0.460573 | + | 1.13644i | ||||
\(746\) | 4830.98i | 0.237098i | ||||||||
\(747\) | 22391.2 | + | 2598.57i | 1.09672 | + | 0.127278i | ||||
\(748\) | 2977.99 | − | 2977.99i | 0.145570 | − | 0.145570i | ||||
\(749\) | 1186.23 | − | 2054.62i | 0.0578692 | − | 0.100232i | ||||
\(750\) | 9078.30 | + | 17070.1i | 0.441990 | + | 0.831083i | ||||
\(751\) | 14058.2 | + | 24349.5i | 0.683077 | + | 1.18312i | 0.974037 | + | 0.226388i | \(0.0726918\pi\) |
−0.290961 | + | 0.956735i | \(0.593975\pi\) | |||||||
\(752\) | −7994.67 | − | 2142.17i | −0.387680 | − | 0.103879i | ||||
\(753\) | −1649.04 | + | 8636.48i | −0.0798066 | + | 0.417969i | ||||
\(754\) | −16897.9 | − | 9755.99i | −0.816160 | − | 0.471210i | ||||
\(755\) | 18556.9 | − | 2587.63i | 0.894507 | − | 0.124733i | ||||
\(756\) | 192.978 | − | 43.0309i | 0.00928378 | − | 0.00207013i | ||||
\(757\) | 8806.75 | + | 8806.75i | 0.422836 | + | 0.422836i | 0.886179 | − | 0.463343i | \(-0.153350\pi\) |
−0.463343 | + | 0.886179i | \(0.653350\pi\) | |||||||
\(758\) | −32149.2 | + | 8614.36i | −1.54052 | + | 0.412781i | ||||
\(759\) | 44515.2 | − | 30241.3i | 2.12885 | − | 1.44623i | ||||
\(760\) | 803.970 | + | 99.5936i | 0.0383725 | + | 0.00475347i | ||||
\(761\) | 9352.07 | − | 5399.42i | 0.445483 | − | 0.257200i | −0.260438 | − | 0.965491i | \(-0.583867\pi\) |
0.705920 | + | 0.708291i | \(0.250534\pi\) | |||||||
\(762\) | −18668.7 | + | 21620.3i | −0.887525 | + | 1.02785i | ||||
\(763\) | 335.532 | + | 1252.22i | 0.0159201 | + | 0.0594148i | ||||
\(764\) | 1531.33 | 0.0725151 | ||||||||
\(765\) | −17184.7 | − | 9401.13i | −0.812177 | − | 0.444312i | ||||
\(766\) | 3289.23 | 0.155150 | ||||||||
\(767\) | −2666.01 | − | 9949.69i | −0.125507 | − | 0.468400i | ||||
\(768\) | 2359.25 | + | 6778.61i | 0.110849 | + | 0.318492i | ||||
\(769\) | −9203.05 | + | 5313.38i | −0.431561 | + | 0.249162i | −0.700011 | − | 0.714132i | \(-0.746822\pi\) |
0.268450 | + | 0.963293i | \(0.413488\pi\) | |||||||
\(770\) | −2584.11 | + | 2014.45i | −0.120941 | + | 0.0942804i | ||||
\(771\) | −31235.6 | − | 15106.5i | −1.45905 | − | 0.705641i | ||||
\(772\) | −171.506 | + | 45.9549i | −0.00799564 | + | 0.00214243i | ||||
\(773\) | −25837.0 | − | 25837.0i | −1.20219 | − | 1.20219i | −0.973499 | − | 0.228691i | \(-0.926556\pi\) |
−0.228691 | − | 0.973499i | \(-0.573444\pi\) | |||||||
\(774\) | 3570.78 | − | 526.030i | 0.165826 | − | 0.0244286i | ||||
\(775\) | 21475.4 | − | 6107.99i | 0.995381 | − | 0.283104i | ||||
\(776\) | −6117.82 | − | 3532.13i | −0.283012 | − | 0.163397i | ||||
\(777\) | −227.036 | − | 196.041i | −0.0104825 | − | 0.00905137i | ||||
\(778\) | 7281.66 | + | 1951.12i | 0.335553 | + | 0.0899112i | ||||
\(779\) | 140.192 | + | 242.819i | 0.00644786 | + | 0.0111680i | ||||
\(780\) | 1420.54 | + | 1570.58i | 0.0652097 | + | 0.0720970i | ||||
\(781\) | −16742.6 | + | 28999.0i | −0.767090 | + | 1.32864i | ||||
\(782\) | −17770.0 | + | 17770.0i | −0.812603 | + | 0.812603i | ||||
\(783\) | 22792.1 | − | 11900.4i | 1.04026 | − | 0.543150i | ||||
\(784\) | − | 19032.1i | − | 0.866987i | ||||||
\(785\) | 4995.51 | − | 2114.12i | 0.227130 | − | 0.0961227i | ||||
\(786\) | 11840.5 | + | 17429.3i | 0.537325 | + | 0.790943i | ||||
\(787\) | −8655.36 | + | 32302.3i | −0.392034 | + | 1.46309i | 0.434741 | + | 0.900556i | \(0.356840\pi\) |
−0.826774 | + | 0.562534i | \(0.809827\pi\) | |||||||
\(788\) | −1118.34 | + | 4173.70i | −0.0505574 | + | 0.188683i | ||||
\(789\) | −24355.1 | + | 1784.30i | −1.09894 | + | 0.0805106i | ||||
\(790\) | −4263.45 | + | 1804.32i | −0.192009 | + | 0.0812591i | ||||
\(791\) | 196.299i | 0.00882377i | ||||||||
\(792\) | −5257.99 | + | 45306.7i | −0.235902 | + | 2.03270i | ||||
\(793\) | 8600.81 | − | 8600.81i | 0.385150 | − | 0.385150i | ||||
\(794\) | −7002.99 | + | 12129.5i | −0.313006 | + | 0.542142i | ||||
\(795\) | −4601.80 | + | 14271.7i | −0.205294 | + | 0.636684i | ||||
\(796\) | 775.792 | + | 1343.71i | 0.0345442 | + | 0.0598324i | ||||
\(797\) | 26392.0 | + | 7071.71i | 1.17296 | + | 0.314295i | 0.792132 | − | 0.610350i | \(-0.208971\pi\) |
0.380831 | + | 0.924645i | \(0.375638\pi\) | |||||||
\(798\) | 61.6880 | − | 21.4701i | 0.00273651 | − | 0.000952424i | ||||
\(799\) | −8324.02 | − | 4805.88i | −0.368564 | − | 0.212791i | ||||
\(800\) | 2496.96 | − | 4481.85i | 0.110351 | − | 0.198072i | ||||
\(801\) | 33953.3 | + | 13456.6i | 1.49773 | + | 0.593591i | ||||
\(802\) | 7922.77 | + | 7922.77i | 0.348831 | + | 0.348831i | ||||
\(803\) | −43318.1 | + | 11607.1i | −1.90369 | + | 0.510092i | ||||
\(804\) | −82.9444 | − | 1132.16i | −0.00363834 | − | 0.0496620i | ||||
\(805\) | −1982.97 | + | 1545.83i | −0.0868203 | + | 0.0676811i | ||||
\(806\) | −16469.0 | + | 9508.39i | −0.719723 | + | 0.415532i | ||||
\(807\) | −731.524 | − | 139.676i | −0.0319094 | − | 0.00609274i | ||||
\(808\) | 7350.84 | + | 27433.7i | 0.320052 | + | 1.19445i | ||||
\(809\) | −4530.67 | −0.196897 | −0.0984486 | − | 0.995142i | \(-0.531388\pi\) | ||||
−0.0984486 | + | 0.995142i | \(0.531388\pi\) | |||||||
\(810\) | 21389.7 | − | 3655.76i | 0.927850 | − | 0.158581i | ||||
\(811\) | 13005.2 | 0.563100 | 0.281550 | − | 0.959547i | \(-0.409151\pi\) | ||||
0.281550 | + | 0.959547i | \(0.409151\pi\) | |||||||
\(812\) | −66.8472 | − | 249.477i | −0.00288901 | − | 0.0107819i | ||||
\(813\) | −38029.8 | − | 7261.37i | −1.64055 | − | 0.313244i | ||||
\(814\) | 6129.91 | − | 3539.11i | 0.263948 | − | 0.152390i | ||||
\(815\) | −39441.6 | − | 4885.91i | −1.69519 | − | 0.209995i | ||||
\(816\) | −1376.59 | − | 18789.9i | −0.0590565 | − | 0.806099i | ||||
\(817\) | −148.113 | + | 39.6868i | −0.00634250 | + | 0.00169947i | ||||
\(818\) | 19038.7 | + | 19038.7i | 0.813781 | + | 0.813781i | ||||
\(819\) | 1551.78 | + | 615.014i | 0.0662073 | + | 0.0262397i | ||||
\(820\) | 926.726 | − | 129.226i | 0.0394667 | − | 0.00550337i | ||||
\(821\) | 7911.52 | + | 4567.72i | 0.336314 | + | 0.194171i | 0.658641 | − | 0.752457i | \(-0.271132\pi\) |
−0.322327 | + | 0.946628i | \(0.604465\pi\) | |||||||
\(822\) | 15654.4 | − | 5448.41i | 0.664246 | − | 0.231186i | ||||
\(823\) | −11842.5 | − | 3173.19i | −0.501584 | − | 0.134399i | −0.000849174 | − | 1.00000i | \(-0.500270\pi\) |
−0.500735 | + | 0.865601i | \(0.666937\pi\) | |||||||
\(824\) | 5637.61 | + | 9764.63i | 0.238344 | + | 0.412824i | ||||
\(825\) | 37850.9 | − | 26569.3i | 1.59733 | − | 1.12124i | ||||
\(826\) | −530.130 | + | 918.212i | −0.0223312 | + | 0.0386788i | ||||
\(827\) | 2547.55 | − | 2547.55i | 0.107118 | − | 0.107118i | −0.651516 | − | 0.758635i | \(-0.725867\pi\) |
0.758635 | + | 0.651516i | \(0.225867\pi\) | |||||||
\(828\) | −412.723 | + | 3556.32i | −0.0173226 | + | 0.149264i | ||||
\(829\) | − | 19833.8i | − | 0.830950i | −0.909605 | − | 0.415475i | \(-0.863615\pi\) | ||
0.909605 | − | 0.415475i | \(-0.136385\pi\) | |||||||
\(830\) | 9334.23 | − | 23031.6i | 0.390356 | − | 0.963180i | ||||
\(831\) | 11408.1 | − | 835.784i | 0.476226 | − | 0.0348893i | ||||
\(832\) | −5757.50 | + | 21487.3i | −0.239910 | + | 0.895358i | ||||
\(833\) | 5720.43 | − | 21348.9i | 0.237937 | − | 0.887991i | ||||
\(834\) | −2350.29 | − | 3459.63i | −0.0975826 | − | 0.143642i | ||||
\(835\) | 7352.43 | + | 17373.2i | 0.304720 | + | 0.720029i | ||||
\(836\) | − | 198.210i | − | 0.00820005i | ||||||
\(837\) | 1062.32 | − | 25036.8i | 0.0438701 | − | 1.03393i | ||||
\(838\) | 22808.1 | − | 22808.1i | 0.940205 | − | 0.940205i | ||||
\(839\) | −10560.8 | + | 18291.9i | −0.434565 | + | 0.752689i | −0.997260 | − | 0.0739757i | \(-0.976431\pi\) |
0.562695 | + | 0.826665i | \(0.309765\pi\) | |||||||
\(840\) | 106.755 | − | 2128.29i | 0.00438498 | − | 0.0874201i | ||||
\(841\) | −4599.18 | − | 7966.01i | −0.188576 | − | 0.326623i | ||||
\(842\) | −22927.4 | − | 6143.39i | −0.938399 | − | 0.251443i | ||||
\(843\) | −7976.73 | − | 6887.73i | −0.325899 | − | 0.281407i | ||||
\(844\) | −994.197 | − | 574.000i | −0.0405470 | − | 0.0234098i | ||||
\(845\) | −923.202 | − | 6620.61i | −0.0375847 | − | 0.269534i | ||||
\(846\) | 10534.3 | − | 1551.85i | 0.428104 | − | 0.0630660i | ||||
\(847\) | 4086.67 | + | 4086.67i | 0.165785 | + | 0.165785i | ||||
\(848\) | −13931.2 | + | 3732.86i | −0.564151 | + | 0.151164i | ||||
\(849\) | 27123.8 | + | 13117.9i | 1.09645 | + | 0.530277i | ||||
\(850\) | −15034.8 | + | 15502.1i | −0.606693 | + | 0.625549i | ||||
\(851\) | 4703.90 | − | 2715.80i | 0.189480 | − | 0.109396i | ||||
\(852\) | −732.241 | − | 2103.88i | −0.0294439 | − | 0.0845982i | ||||
\(853\) | 2546.69 | + | 9504.36i | 0.102224 | + | 0.381504i | 0.998015 | − | 0.0629700i | \(-0.0200572\pi\) |
−0.895792 | + | 0.444474i | \(0.853391\pi\) | |||||||
\(854\) | −1251.99 | −0.0501665 | ||||||||
\(855\) | −884.756 | + | 259.032i | −0.0353895 | + | 0.0103611i | ||||
\(856\) | −36409.9 | −1.45381 | ||||||||
\(857\) | −8927.04 | − | 33316.2i | −0.355825 | − | 1.32796i | −0.879444 | − | 0.476003i | \(-0.842085\pi\) |
0.523619 | − | 0.851953i | \(-0.324582\pi\) | |||||||
\(858\) | −25742.4 | + | 29812.5i | −1.02428 | + | 1.18623i | ||||
\(859\) | 22284.7 | − | 12866.1i | 0.885151 | − | 0.511042i | 0.0127979 | − | 0.999918i | \(-0.495926\pi\) |
0.872353 | + | 0.488876i | \(0.162593\pi\) | |||||||
\(860\) | −62.9093 | + | 507.836i | −0.00249441 | + | 0.0201361i | ||||
\(861\) | 610.070 | − | 414.450i | 0.0241477 | − | 0.0164047i | ||||
\(862\) | −29006.7 | + | 7772.31i | −1.14614 | + | 0.307107i | ||||
\(863\) | −16350.7 | − | 16350.7i | −0.644942 | − | 0.644942i | 0.306824 | − | 0.951766i | \(-0.400734\pi\) |
−0.951766 | + | 0.306824i | \(0.900734\pi\) | |||||||
\(864\) | −3895.45 | − | 4240.67i | −0.153387 | − | 0.166980i | ||||
\(865\) | 12157.6 | + | 9181.98i | 0.477887 | + | 0.360921i | ||||
\(866\) | −6419.83 | − | 3706.49i | −0.251911 | − | 0.145441i | ||||
\(867\) | −684.459 | + | 3584.70i | −0.0268113 | + | 0.140418i | ||||
\(868\) | −243.145 | − | 65.1506i | −0.00950794 | − | 0.00254764i | ||||
\(869\) | 5536.70 | + | 9589.85i | 0.216133 | + | 0.374354i | ||||
\(870\) | −5955.73 | − | 27713.8i | −0.232090 | − | 1.07998i | ||||
\(871\) | 4791.91 | − | 8299.82i | 0.186415 | − | 0.322880i | ||||
\(872\) | 14068.3 | − | 14068.3i | 0.546345 | − | 0.546345i | ||||
\(873\) | 7985.38 | + | 926.730i | 0.309581 | + | 0.0359279i | ||||
\(874\) | 1182.74i | 0.0457745i | ||||||||
\(875\) | −1683.49 | + | 1354.28i | −0.0650425 | + | 0.0523236i | ||||
\(876\) | 1298.96 | − | 2685.85i | 0.0501004 | − | 0.103592i | ||||
\(877\) | 6354.23 | − | 23714.3i | 0.244660 | − | 0.913085i | −0.728894 | − | 0.684627i | \(-0.759965\pi\) |
0.973554 | − | 0.228458i | \(-0.0733682\pi\) | |||||||
\(878\) | −3393.45 | + | 12664.5i | −0.130437 | + | 0.486796i | ||||
\(879\) | −15147.4 | + | 31320.1i | −0.581239 | + | 1.20182i | ||||
\(880\) | 41222.6 | + | 16706.6i | 1.57911 | + | 0.639978i | ||||
\(881\) | − | 11658.3i | − | 0.445833i | −0.974837 | − | 0.222917i | \(-0.928442\pi\) | ||
0.974837 | − | 0.222917i | \(-0.0715578\pi\) | |||||||
\(882\) | 9716.33 | + | 22474.4i | 0.370936 | + | 0.857995i | ||||
\(883\) | 16684.3 | − | 16684.3i | 0.635869 | − | 0.635869i | −0.313665 | − | 0.949534i | \(-0.601557\pi\) |
0.949534 | + | 0.313665i | \(0.101557\pi\) | |||||||
\(884\) | −1182.69 | + | 2048.49i | −0.0449981 | + | 0.0779390i | ||||
\(885\) | 8122.13 | − | 12568.6i | 0.308500 | − | 0.477388i | ||||
\(886\) | −12078.5 | − | 20920.7i | −0.457999 | − | 0.793277i | ||||
\(887\) | 15191.5 | + | 4070.55i | 0.575063 | + | 0.154088i | 0.534618 | − | 0.845094i | \(-0.320456\pi\) |
0.0404454 | + | 0.999182i | \(0.487122\pi\) | |||||||
\(888\) | −863.384 | + | 4521.78i | −0.0326276 | + | 0.170880i | ||||
\(889\) | −2764.50 | − | 1596.09i | −0.104295 | − | 0.0602149i | ||||
\(890\) | 24266.8 | − | 32131.1i | 0.913959 | − | 1.21015i | ||||
\(891\) | −14967.7 | − | 49699.1i | −0.562779 | − | 1.86867i | ||||
\(892\) | 194.290 | + | 194.290i | 0.00729296 | + | 0.00729296i | ||||
\(893\) | −436.952 | + | 117.081i | −0.0163741 | + | 0.00438742i | ||||
\(894\) | 25521.3 | − | 17337.9i | 0.954766 | − | 0.648618i | ||||
\(895\) | 16833.4 | + | 21593.7i | 0.628692 | + | 0.806476i | ||||
\(896\) | 1543.34 | − | 891.050i | 0.0575441 | − | 0.0332231i | ||||
\(897\) | −19753.9 | + | 22877.2i | −0.735300 | + | 0.851556i | ||||
\(898\) | −4106.19 | − | 15324.5i | −0.152590 | − | 0.569472i | ||||
\(899\) | −32734.9 | −1.21443 | ||||||||
\(900\) | −307.863 | + | 3061.10i | −0.0114023 | + | 0.113374i | ||||
\(901\) | −16749.1 | −0.619305 | ||||||||
\(902\) | 4504.38 | + | 16810.6i | 0.166274 | + | 0.620544i | ||||
\(903\) | 132.582 | + | 380.934i | 0.00488598 | + | 0.0140384i | ||||
\(904\) | 2608.97 | − | 1506.29i | 0.0959878 | − | 0.0554186i | ||||
\(905\) | −19811.2 | − | 25413.5i | −0.727676 | − | 0.933452i | ||||
\(906\) | −20871.2 | − | 10094.0i | −0.765343 | − | 0.370144i | ||||
\(907\) | 17700.3 | − | 4742.77i | 0.647991 | − | 0.173629i | 0.0801705 | − | 0.996781i | \(-0.474454\pi\) |
0.567820 | + | 0.823153i | \(0.307787\pi\) | |||||||
\(908\) | 3057.12 | + | 3057.12i | 0.111733 | + | 0.111733i | ||||
\(909\) | −20066.9 | − | 25336.1i | −0.732210 | − | 0.924473i | ||||
\(910\) | 1109.08 | − | 1468.50i | 0.0404017 | − | 0.0534949i | ||||
\(911\) | 46641.3 | + | 26928.4i | 1.69626 | + | 0.979338i | 0.949247 | + | 0.314532i | \(0.101847\pi\) |
0.747016 | + | 0.664806i | \(0.231486\pi\) | |||||||
\(912\) | −671.123 | − | 579.500i | −0.0243674 | − | 0.0210407i | ||||
\(913\) | −57416.4 | − | 15384.7i | −2.08128 | − | 0.557676i | ||||
\(914\) | 19092.7 | + | 33069.5i | 0.690953 | + | 1.19677i | ||||
\(915\) | 17648.5 | + | 885.245i | 0.637640 | + | 0.0319839i | ||||
\(916\) | 438.243 | − | 759.060i | 0.0158078 | − | 0.0273800i | ||||
\(917\) | −1665.01 | + | 1665.01i | −0.0599603 | + | 0.0599603i | ||||
\(918\) | 11218.2 | + | 21485.6i | 0.403330 | + | 0.772472i | ||||
\(919\) | 21344.2i | 0.766139i | 0.923720 | + | 0.383069i | \(0.125133\pi\) | ||||
−0.923720 | + | 0.383069i | \(0.874867\pi\) | |||||||
\(920\) | 35761.4 | + | 14493.3i | 1.28154 | + | 0.519381i | ||||
\(921\) | 3858.58 | + | 5679.84i | 0.138051 | + | 0.203211i | ||||
\(922\) | −541.946 | + | 2022.57i | −0.0193580 | + | 0.0722449i | ||||
\(923\) | 4867.58 | − | 18166.1i | 0.173584 | − | 0.647826i | ||||
\(924\) | −519.987 | + | 38.0953i | −0.0185133 | + | 0.00135633i | ||||
\(925\) | 4005.99 | − | 2395.32i | 0.142396 | − | 0.0851435i | ||||
\(926\) | 11284.2i | 0.400455i | ||||||||
\(927\) | −10298.3 | − | 7653.70i | −0.364876 | − | 0.271176i | ||||
\(928\) | −5318.89 | + | 5318.89i | −0.188148 | + | 0.188148i | ||||
\(929\) | 25517.3 | − | 44197.2i | 0.901178 | − | 1.56089i | 0.0752112 | − | 0.997168i | \(-0.476037\pi\) |
0.825967 | − | 0.563719i | \(-0.190630\pi\) | |||||||
\(930\) | −26294.0 | − | 8478.32i | −0.927113 | − | 0.298941i | ||||
\(931\) | −520.104 | − | 900.846i | −0.0183090 | − | 0.0317122i | ||||
\(932\) | −3754.11 | − | 1005.91i | −0.131942 | − | 0.0353538i | ||||
\(933\) | 40551.1 | − | 14113.6i | 1.42292 | − | 0.495238i | ||||
\(934\) | 34349.8 | + | 19831.9i | 1.20338 | + | 0.694773i | ||||
\(935\) | 41219.3 | + | 31130.6i | 1.44173 | + | 1.08885i | ||||
\(936\) | −3733.50 | − | 25343.7i | −0.130377 | − | 0.885025i | ||||
\(937\) | −18569.7 | − | 18569.7i | −0.647433 | − | 0.647433i | 0.304939 | − | 0.952372i | \(-0.401364\pi\) |
−0.952372 | + | 0.304939i | \(0.901364\pi\) | |||||||
\(938\) | −952.859 | + | 255.318i | −0.0331684 | + | 0.00888744i | ||||
\(939\) | 3093.72 | + | 42228.1i | 0.107518 | + | 1.46758i | ||||
\(940\) | −185.590 | + | 1498.18i | −0.00643967 | + | 0.0519844i | ||||
\(941\) | −44953.6 | + | 25954.0i | −1.55733 | + | 0.899124i | −0.559817 | + | 0.828616i | \(0.689128\pi\) |
−0.997511 | + | 0.0705073i | \(0.977538\pi\) | |||||||
\(942\) | −6592.98 | − | 1258.86i | −0.228037 | − | 0.0435411i | ||||
\(943\) | 3456.52 | + | 12899.9i | 0.119363 | + | 0.445470i | ||||
\(944\) | 14393.2 | 0.496248 | ||||||||
\(945\) | 849.596 | + | 2271.30i | 0.0292459 | + | 0.0781854i | ||||
\(946\) | −9517.79 | −0.327114 | ||||||||
\(947\) | 2392.38 | + | 8928.47i | 0.0820927 | + | 0.306374i | 0.994748 | − | 0.102356i | \(-0.0326382\pi\) |
−0.912655 | + | 0.408731i | \(0.865972\pi\) | |||||||
\(948\) | −723.606 | − | 138.164i | −0.0247907 | − | 0.00473352i | ||||
\(949\) | 21813.3 | − | 12593.9i | 0.746142 | − | 0.430785i | ||||
\(950\) | 15.5506 | + | 1016.24i | 0.000531081 | + | 0.0347066i | ||||
\(951\) | −2470.76 | − | 33724.9i | −0.0842479 | − | 1.14995i | ||||
\(952\) | 2299.10 | − | 616.042i | 0.0782713 | − | 0.0209727i | ||||
\(953\) | 20099.7 | + | 20099.7i | 0.683204 | + | 0.683204i | 0.960721 | − | 0.277517i | \(-0.0895115\pi\) |
−0.277517 | + | 0.960721i | \(0.589511\pi\) | |||||||
\(954\) | 14545.2 | − | 11520.2i | 0.493625 | − | 0.390966i | ||||
\(955\) | 2593.89 | + | 18601.7i | 0.0878913 | + | 0.630301i | ||||
\(956\) | −4390.22 | − | 2534.70i | −0.148525 | − | 0.0857510i | ||||
\(957\) | −64034.7 | + | 22286.9i | −2.16295 | + | 0.752802i | ||||
\(958\) | −23293.6 | − | 6241.50i | −0.785576 | − | 0.210494i | ||||
\(959\) | 926.165 | + | 1604.17i | 0.0311861 | + | 0.0540158i | ||||
\(960\) | −28762.0 | + | 14736.3i | −0.966969 | + | 0.495430i | ||||
\(961\) | −1056.56 | + | 1830.02i | −0.0354658 | + | 0.0614286i | ||||
\(962\) | −2811.08 | + | 2811.08i | −0.0942129 | + | 0.0942129i | ||||
\(963\) | 38031.6 | − | 16442.2i | 1.27264 | − | 0.550200i | ||||
\(964\) | − | 2394.48i | − | 0.0800012i | ||||||
\(965\) | −848.744 | − | 2005.51i | −0.0283130 | − | 0.0669014i | ||||
\(966\) | 3102.83 | − | 227.320i | 0.103346 | − | 0.00757132i | ||||
\(967\) | −2351.26 | + | 8775.02i | −0.0781917 | + | 0.291815i | −0.993938 | − | 0.109942i | \(-0.964934\pi\) |
0.915746 | + | 0.401757i | \(0.131600\pi\) | |||||||
\(968\) | 22956.2 | − | 85673.7i | 0.762232 | − | 2.84469i | ||||
\(969\) | −578.642 | − | 851.762i | −0.0191834 | − | 0.0282379i | ||||
\(970\) | 3328.88 | − | 8213.79i | 0.110189 | − | 0.271886i | ||||
\(971\) | 29432.8i | 0.972752i | 0.873750 | + | 0.486376i | \(0.161681\pi\) | ||||
−0.873750 | + | 0.486376i | \(0.838319\pi\) | |||||||
\(972\) | 3153.27 | + | 1407.19i | 0.104055 | + | 0.0464357i | ||||
\(973\) | 330.498 | − | 330.498i | 0.0108893 | − | 0.0108893i | ||||
\(974\) | −3102.20 | + | 5373.17i | −0.102054 | + | 0.176763i | ||||
\(975\) | −16672.2 | + | 19916.3i | −0.547630 | + | 0.654187i | ||||
\(976\) | 8497.97 | + | 14718.9i | 0.278702 | + | 0.482726i | ||||
\(977\) | 50189.6 | + | 13448.3i | 1.64351 | + | 0.440377i | 0.957785 | − | 0.287484i | \(-0.0928189\pi\) |
0.685724 | + | 0.727861i | \(0.259486\pi\) | |||||||
\(978\) | 37221.3 | + | 32139.8i | 1.21698 | + | 1.05084i | ||||
\(979\) | −83407.3 | − | 48155.2i | −2.72289 | − | 1.57206i | ||||
\(980\) | −3438.11 | + | 479.422i | −0.112068 | + | 0.0156271i | ||||
\(981\) | −8341.88 | + | 21048.0i | −0.271494 | + | 0.685026i | ||||
\(982\) | 8622.36 | + | 8622.36i | 0.280194 | + | 0.280194i | ||||
\(983\) | −12972.1 | + | 3475.88i | −0.420903 | + | 0.112781i | −0.463053 | − | 0.886331i | \(-0.653246\pi\) |
0.0421501 | + | 0.999111i | \(0.486579\pi\) | |||||||
\(984\) | −10189.7 | − | 4928.05i | −0.330117 | − | 0.159655i | ||||
\(985\) | −52594.1 | − | 6515.21i | −1.70131 | − | 0.210753i | ||||
\(986\) | 27420.1 | − | 15831.0i | 0.885632 | − | 0.511320i | ||||
\(987\) | 391.133 | + | 1123.80i | 0.0126139 | + | 0.0362422i | ||||
\(988\) | 28.8129 | + | 107.531i | 0.000927792 | + | 0.00346257i | ||||
\(989\) | −7303.65 | −0.234826 | ||||||||
\(990\) | −57207.5 | + | 1316.78i | −1.83654 | + | 0.0422728i | ||||
\(991\) | 3959.04 | 0.126905 | 0.0634526 | − | 0.997985i | \(-0.479789\pi\) | ||||
0.0634526 | + | 0.997985i | \(0.479789\pi\) | |||||||
\(992\) | 1897.44 | + | 7081.33i | 0.0607295 | + | 0.226646i | ||||
\(993\) | −28618.8 | + | 33143.6i | −0.914592 | + | 1.05920i | ||||
\(994\) | −1676.46 | + | 967.907i | −0.0534952 | + | 0.0308855i | ||||
\(995\) | −15008.5 | + | 11700.0i | −0.478194 | + | 0.372778i | ||||
\(996\) | 3271.05 | − | 2222.18i | 0.104063 | − | 0.0706952i | ||||
\(997\) | 46983.9 | − | 12589.3i | 1.49247 | − | 0.399906i | 0.581900 | − | 0.813260i | \(-0.302309\pi\) |
0.910571 | + | 0.413354i | \(0.135643\pi\) | |||||||
\(998\) | −5687.89 | − | 5687.89i | −0.180408 | − | 0.180408i | ||||
\(999\) | −1140.13 | − | 5113.08i | −0.0361083 | − | 0.161933i |
(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 | 45.4.l.a.2.6 | ✓ | 64 | |
3.2 | odd | 2 | 135.4.m.a.62.11 | 64 | |||
5.2 | odd | 4 | 225.4.p.b.218.11 | 64 | |||
5.3 | odd | 4 | inner | 45.4.l.a.38.6 | yes | 64 | |
5.4 | even | 2 | 225.4.p.b.182.11 | 64 | |||
9.4 | even | 3 | 135.4.m.a.17.11 | 64 | |||
9.5 | odd | 6 | inner | 45.4.l.a.32.6 | yes | 64 | |
15.8 | even | 4 | 135.4.m.a.8.11 | 64 | |||
45.13 | odd | 12 | 135.4.m.a.98.11 | 64 | |||
45.14 | odd | 6 | 225.4.p.b.32.11 | 64 | |||
45.23 | even | 12 | inner | 45.4.l.a.23.6 | yes | 64 | |
45.32 | even | 12 | 225.4.p.b.68.11 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.4.l.a.2.6 | ✓ | 64 | 1.1 | even | 1 | trivial | |
45.4.l.a.23.6 | yes | 64 | 45.23 | even | 12 | inner | |
45.4.l.a.32.6 | yes | 64 | 9.5 | odd | 6 | inner | |
45.4.l.a.38.6 | yes | 64 | 5.3 | odd | 4 | inner | |
135.4.m.a.8.11 | 64 | 15.8 | even | 4 | |||
135.4.m.a.17.11 | 64 | 9.4 | even | 3 | |||
135.4.m.a.62.11 | 64 | 3.2 | odd | 2 | |||
135.4.m.a.98.11 | 64 | 45.13 | odd | 12 | |||
225.4.p.b.32.11 | 64 | 45.14 | odd | 6 | |||
225.4.p.b.68.11 | 64 | 45.32 | even | 12 | |||
225.4.p.b.182.11 | 64 | 5.4 | even | 2 | |||
225.4.p.b.218.11 | 64 | 5.2 | odd | 4 |