Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 27.25 |
Dual form | 27.4.e.a.13.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.404735 | + | 2.29536i | −0.143095 | + | 0.811534i | 0.825781 | + | 0.563990i | \(0.190734\pi\) |
−0.968877 | + | 0.247544i | \(0.920377\pi\) | |||||||
\(3\) | 4.52897 | − | 2.54724i | 0.871601 | − | 0.490216i | ||||
\(4\) | 2.41266 | + | 0.878135i | 0.301582 | + | 0.109767i | ||||
\(5\) | −4.78113 | + | 4.01185i | −0.427637 | + | 0.358830i | −0.831059 | − | 0.556184i | \(-0.812265\pi\) |
0.403422 | + | 0.915014i | \(0.367821\pi\) | |||||||
\(6\) | 4.01380 | + | 11.4266i | 0.273105 | + | 0.777481i | ||||
\(7\) | 2.53990 | − | 0.924448i | 0.137142 | − | 0.0499155i | −0.272537 | − | 0.962145i | \(-0.587863\pi\) |
0.409679 | + | 0.912230i | \(0.365641\pi\) | |||||||
\(8\) | −12.3152 | + | 21.3306i | −0.544261 | + | 0.942688i | ||||
\(9\) | 14.0232 | − | 23.0727i | 0.519377 | − | 0.854545i | ||||
\(10\) | −7.27356 | − | 12.5982i | −0.230010 | − | 0.398389i | ||||
\(11\) | −30.2808 | − | 25.4086i | −0.830000 | − | 0.696453i | 0.125291 | − | 0.992120i | \(-0.460014\pi\) |
−0.955291 | + | 0.295667i | \(0.904458\pi\) | |||||||
\(12\) | 13.1637 | − | 2.16856i | 0.316669 | − | 0.0521673i | ||||
\(13\) | −12.8853 | − | 73.0761i | −0.274903 | − | 1.55905i | −0.739270 | − | 0.673409i | \(-0.764829\pi\) |
0.464367 | − | 0.885643i | \(-0.346282\pi\) | |||||||
\(14\) | 1.09396 | + | 6.20415i | 0.0208838 | + | 0.118438i | ||||
\(15\) | −11.4345 | + | 30.3482i | −0.196825 | + | 0.522392i | ||||
\(16\) | −28.2425 | − | 23.6983i | −0.441290 | − | 0.370286i | ||||
\(17\) | 29.1160 | + | 50.4303i | 0.415392 | + | 0.719479i | 0.995469 | − | 0.0950816i | \(-0.0303112\pi\) |
−0.580078 | + | 0.814561i | \(0.696978\pi\) | |||||||
\(18\) | 47.2846 | + | 41.5266i | 0.619172 | + | 0.543773i | ||||
\(19\) | −41.2204 | + | 71.3959i | −0.497717 | + | 0.862070i | −0.999997 | − | 0.00263470i | \(-0.999161\pi\) |
0.502280 | + | 0.864705i | \(0.332495\pi\) | |||||||
\(20\) | −15.0582 | + | 5.48072i | −0.168355 | + | 0.0612764i | ||||
\(21\) | 9.14835 | − | 10.6565i | 0.0950635 | − | 0.110735i | ||||
\(22\) | 70.5777 | − | 59.2217i | 0.683964 | − | 0.573914i | ||||
\(23\) | −25.8401 | − | 9.40502i | −0.234262 | − | 0.0852644i | 0.222222 | − | 0.974996i | \(-0.428669\pi\) |
−0.456484 | + | 0.889732i | \(0.650891\pi\) | |||||||
\(24\) | −1.44124 | + | 127.975i | −0.0122580 | + | 1.08845i | ||||
\(25\) | −14.9417 | + | 84.7386i | −0.119534 | + | 0.677909i | ||||
\(26\) | 172.951 | 1.30456 | ||||||||
\(27\) | 4.73890 | − | 140.216i | 0.0337778 | − | 0.999429i | ||||
\(28\) | 6.93969 | 0.0468385 | ||||||||
\(29\) | 30.1245 | − | 170.844i | 0.192896 | − | 1.09397i | −0.722488 | − | 0.691383i | \(-0.757002\pi\) |
0.915384 | − | 0.402582i | \(-0.131887\pi\) | |||||||
\(30\) | −65.0323 | − | 38.5293i | −0.395774 | − | 0.234482i | ||||
\(31\) | 149.460 | + | 54.3991i | 0.865931 | + | 0.315173i | 0.736518 | − | 0.676418i | \(-0.236469\pi\) |
0.129413 | + | 0.991591i | \(0.458691\pi\) | |||||||
\(32\) | −85.1171 | + | 71.4217i | −0.470210 | + | 0.394553i | ||||
\(33\) | −201.863 | − | 37.9425i | −1.06484 | − | 0.200150i | ||||
\(34\) | −127.540 | + | 46.4208i | −0.643322 | + | 0.234150i | ||||
\(35\) | −8.43485 | + | 14.6096i | −0.0407357 | + | 0.0705563i | ||||
\(36\) | 54.0941 | − | 43.3523i | 0.250435 | − | 0.200705i | ||||
\(37\) | 220.701 | + | 382.265i | 0.980621 | + | 1.69849i | 0.659977 | + | 0.751286i | \(0.270566\pi\) |
0.320644 | + | 0.947200i | \(0.396101\pi\) | |||||||
\(38\) | −147.196 | − | 123.512i | −0.628378 | − | 0.527272i | ||||
\(39\) | −244.499 | − | 298.138i | −1.00388 | − | 1.22411i | ||||
\(40\) | −26.6943 | − | 151.391i | −0.105519 | − | 0.598426i | ||||
\(41\) | 14.7471 | + | 83.6352i | 0.0561736 | + | 0.318576i | 0.999927 | − | 0.0120735i | \(-0.00384321\pi\) |
−0.943754 | + | 0.330650i | \(0.892732\pi\) | |||||||
\(42\) | 20.7579 | + | 25.3118i | 0.0762624 | + | 0.0929929i | ||||
\(43\) | −150.412 | − | 126.210i | −0.533431 | − | 0.447602i | 0.335853 | − | 0.941914i | \(-0.390975\pi\) |
−0.869284 | + | 0.494312i | \(0.835420\pi\) | |||||||
\(44\) | −50.7449 | − | 87.8928i | −0.173866 | − | 0.301144i | ||||
\(45\) | 25.5176 | + | 166.573i | 0.0845319 | + | 0.551804i | ||||
\(46\) | 32.0463 | − | 55.5058i | 0.102717 | − | 0.177911i | ||||
\(47\) | 402.616 | − | 146.540i | 1.24952 | − | 0.454789i | 0.369283 | − | 0.929317i | \(-0.379603\pi\) |
0.880240 | + | 0.474528i | \(0.157381\pi\) | |||||||
\(48\) | −188.275 | − | 35.3885i | −0.566149 | − | 0.106414i | ||||
\(49\) | −257.157 | + | 215.780i | −0.749728 | + | 0.629097i | ||||
\(50\) | −188.459 | − | 68.5933i | −0.533041 | − | 0.194011i | ||||
\(51\) | 260.323 | + | 154.232i | 0.714756 | + | 0.423468i | ||||
\(52\) | 33.0829 | − | 187.623i | 0.0882265 | − | 0.500357i | ||||
\(53\) | 448.275 | 1.16180 | 0.580899 | − | 0.813976i | \(-0.302701\pi\) | ||||
0.580899 | + | 0.813976i | \(0.302701\pi\) | |||||||
\(54\) | 319.929 | + | 67.6278i | 0.806237 | + | 0.170425i | ||||
\(55\) | 246.712 | 0.604848 | ||||||||
\(56\) | −11.5604 | + | 65.5623i | −0.0275861 | + | 0.156449i | ||||
\(57\) | −4.82401 | + | 428.348i | −0.0112097 | + | 0.995370i | ||||
\(58\) | 379.958 | + | 138.293i | 0.860187 | + | 0.313083i | ||||
\(59\) | −269.039 | + | 225.751i | −0.593660 | + | 0.498140i | −0.889401 | − | 0.457128i | \(-0.848878\pi\) |
0.295741 | + | 0.955268i | \(0.404434\pi\) | |||||||
\(60\) | −54.2373 | + | 63.1788i | −0.116700 | + | 0.135939i | ||||
\(61\) | −346.588 | + | 126.148i | −0.727475 | + | 0.264779i | −0.679096 | − | 0.734050i | \(-0.737628\pi\) |
−0.0483796 | + | 0.998829i | \(0.515406\pi\) | |||||||
\(62\) | −185.357 | + | 321.048i | −0.379684 | + | 0.657632i | ||||
\(63\) | 14.2879 | − | 71.5661i | 0.0285732 | − | 0.143119i | ||||
\(64\) | −276.961 | − | 479.711i | −0.540940 | − | 0.936935i | ||||
\(65\) | 354.777 | + | 297.693i | 0.676994 | + | 0.568065i | ||||
\(66\) | 168.793 | − | 447.991i | 0.314802 | − | 0.835514i | ||||
\(67\) | −104.831 | − | 594.527i | −0.191152 | − | 1.08408i | −0.917793 | − | 0.397059i | \(-0.870031\pi\) |
0.726641 | − | 0.687017i | \(-0.241080\pi\) | |||||||
\(68\) | 25.9622 | + | 147.239i | 0.0462996 | + | 0.262578i | ||||
\(69\) | −140.986 | + | 23.2257i | −0.245981 | + | 0.0405224i | ||||
\(70\) | −30.1205 | − | 25.2741i | −0.0514297 | − | 0.0431547i | ||||
\(71\) | −423.268 | − | 733.122i | −0.707502 | − | 1.22543i | −0.965781 | − | 0.259359i | \(-0.916489\pi\) |
0.258279 | − | 0.966070i | \(-0.416845\pi\) | |||||||
\(72\) | 319.456 | + | 583.268i | 0.522893 | + | 0.954706i | ||||
\(73\) | 21.1923 | − | 36.7062i | 0.0339777 | − | 0.0588512i | −0.848536 | − | 0.529137i | \(-0.822516\pi\) |
0.882514 | + | 0.470286i | \(0.155849\pi\) | |||||||
\(74\) | −966.762 | + | 351.873i | −1.51870 | + | 0.552762i | ||||
\(75\) | 148.179 | + | 421.839i | 0.228136 | + | 0.649464i | ||||
\(76\) | −162.146 | + | 136.057i | −0.244729 | + | 0.205352i | ||||
\(77\) | −100.399 | − | 36.5423i | −0.148591 | − | 0.0540828i | ||||
\(78\) | 783.292 | − | 440.548i | 1.13706 | − | 0.639516i | ||||
\(79\) | 63.6782 | − | 361.137i | 0.0906881 | − | 0.514318i | −0.905295 | − | 0.424782i | \(-0.860351\pi\) |
0.995984 | − | 0.0895356i | \(-0.0285383\pi\) | |||||||
\(80\) | 230.105 | 0.321582 | ||||||||
\(81\) | −335.701 | − | 647.106i | −0.460495 | − | 0.887662i | ||||
\(82\) | −197.942 | −0.266574 | ||||||||
\(83\) | −10.0517 | + | 57.0062i | −0.0132930 | + | 0.0753884i | −0.990733 | − | 0.135827i | \(-0.956631\pi\) |
0.977440 | + | 0.211215i | \(0.0677421\pi\) | |||||||
\(84\) | 31.4297 | − | 17.6770i | 0.0408245 | − | 0.0229610i | ||||
\(85\) | −341.526 | − | 124.305i | −0.435808 | − | 0.158621i | ||||
\(86\) | 350.575 | − | 294.168i | 0.439576 | − | 0.368848i | ||||
\(87\) | −298.748 | − | 850.483i | −0.368151 | − | 1.04806i | ||||
\(88\) | 914.895 | − | 332.995i | 1.10827 | − | 0.403379i | ||||
\(89\) | −713.269 | + | 1235.42i | −0.849509 | + | 1.47139i | 0.0321377 | + | 0.999483i | \(0.489768\pi\) |
−0.881647 | + | 0.471910i | \(0.843565\pi\) | |||||||
\(90\) | −392.672 | − | 8.84559i | −0.459903 | − | 0.0103601i | ||||
\(91\) | −100.282 | − | 173.694i | −0.115521 | − | 0.200089i | ||||
\(92\) | −54.0843 | − | 45.3821i | −0.0612900 | − | 0.0514284i | ||||
\(93\) | 815.469 | − | 134.339i | 0.909249 | − | 0.149788i | ||||
\(94\) | 173.411 | + | 983.460i | 0.190276 | + | 1.07911i | ||||
\(95\) | −89.3490 | − | 506.723i | −0.0964948 | − | 0.547249i | ||||
\(96\) | −203.565 | + | 540.280i | −0.216419 | + | 0.574397i | ||||
\(97\) | 875.961 | + | 735.019i | 0.916911 | + | 0.769380i | 0.973421 | − | 0.229022i | \(-0.0735528\pi\) |
−0.0565098 | + | 0.998402i | \(0.517997\pi\) | |||||||
\(98\) | −391.214 | − | 677.602i | −0.403251 | − | 0.698450i | ||||
\(99\) | −1010.88 | + | 342.351i | −1.02623 | + | 0.347551i | ||||
\(100\) | −110.461 | + | 191.324i | −0.110461 | + | 0.191324i | ||||
\(101\) | 423.836 | − | 154.264i | 0.417557 | − | 0.151978i | −0.124693 | − | 0.992195i | \(-0.539795\pi\) |
0.542250 | + | 0.840217i | \(0.317573\pi\) | |||||||
\(102\) | −459.381 | + | 535.114i | −0.445936 | + | 0.519452i | ||||
\(103\) | −12.2315 | + | 10.2635i | −0.0117011 | + | 0.00981835i | −0.648619 | − | 0.761113i | \(-0.724653\pi\) |
0.636918 | + | 0.770931i | \(0.280209\pi\) | |||||||
\(104\) | 1717.44 | + | 625.098i | 1.61932 | + | 0.589383i | ||||
\(105\) | −0.987127 | + | 87.6520i | −0.000917464 | + | 0.0814663i | ||||
\(106\) | −181.432 | + | 1028.95i | −0.166248 | + | 0.942838i | ||||
\(107\) | 190.566 | 0.172175 | 0.0860876 | − | 0.996288i | \(-0.472564\pi\) | ||||
0.0860876 | + | 0.996288i | \(0.472564\pi\) | |||||||
\(108\) | 134.562 | − | 334.132i | 0.119891 | − | 0.297702i | ||||
\(109\) | −505.344 | −0.444066 | −0.222033 | − | 0.975039i | \(-0.571269\pi\) | ||||
−0.222033 | + | 0.975039i | \(0.571269\pi\) | |||||||
\(110\) | −99.8528 | + | 566.294i | −0.0865509 | + | 0.490854i | ||||
\(111\) | 1973.27 | + | 1169.09i | 1.68733 | + | 0.999686i | ||||
\(112\) | −93.6410 | − | 34.0826i | −0.0790022 | − | 0.0287544i | ||||
\(113\) | 1505.37 | − | 1263.16i | 1.25322 | − | 1.05158i | 0.256848 | − | 0.966452i | \(-0.417316\pi\) |
0.996370 | − | 0.0851232i | \(-0.0271284\pi\) | |||||||
\(114\) | −981.262 | − | 184.440i | −0.806172 | − | 0.151530i | ||||
\(115\) | 161.276 | − | 58.6998i | 0.130775 | − | 0.0475981i | ||||
\(116\) | 222.704 | − | 385.735i | 0.178255 | − | 0.308747i | ||||
\(117\) | −1866.76 | − | 727.461i | −1.47506 | − | 0.574818i | ||||
\(118\) | −409.291 | − | 708.912i | −0.319307 | − | 0.553056i | ||||
\(119\) | 120.572 | + | 101.172i | 0.0928807 | + | 0.0779361i | ||||
\(120\) | −506.527 | − | 617.649i | −0.385328 | − | 0.469862i | ||||
\(121\) | 40.2037 | + | 228.006i | 0.0302056 | + | 0.171304i | ||||
\(122\) | −149.279 | − | 846.601i | −0.110779 | − | 0.628259i | ||||
\(123\) | 279.828 | + | 341.217i | 0.205132 | + | 0.250134i | ||||
\(124\) | 312.826 | + | 262.492i | 0.226554 | + | 0.190101i | ||||
\(125\) | −658.603 | − | 1140.73i | −0.471258 | − | 0.816243i | ||||
\(126\) | 158.487 | + | 61.7613i | 0.112057 | + | 0.0436677i | ||||
\(127\) | 478.674 | − | 829.089i | 0.334453 | − | 0.579289i | −0.648927 | − | 0.760851i | \(-0.724782\pi\) |
0.983380 | + | 0.181562i | \(0.0581152\pi\) | |||||||
\(128\) | 377.914 | − | 137.549i | 0.260962 | − | 0.0949825i | ||||
\(129\) | −1002.70 | − | 188.469i | −0.684361 | − | 0.128634i | ||||
\(130\) | −826.904 | + | 693.855i | −0.557879 | + | 0.468116i | ||||
\(131\) | −1383.34 | − | 503.493i | −0.922616 | − | 0.335805i | −0.163337 | − | 0.986570i | \(-0.552226\pi\) |
−0.759279 | + | 0.650766i | \(0.774448\pi\) | |||||||
\(132\) | −453.706 | − | 268.805i | −0.299167 | − | 0.177246i | ||||
\(133\) | −38.6940 | + | 219.444i | −0.0252270 | + | 0.143070i | ||||
\(134\) | 1407.09 | 0.907117 | ||||||||
\(135\) | 539.868 | + | 689.403i | 0.344181 | + | 0.439514i | ||||
\(136\) | −1434.28 | −0.904326 | ||||||||
\(137\) | −105.061 | + | 595.832i | −0.0655181 | + | 0.371572i | 0.934366 | + | 0.356316i | \(0.115967\pi\) |
−0.999884 | + | 0.0152557i | \(0.995144\pi\) | |||||||
\(138\) | 3.75037 | − | 333.014i | 0.00231342 | − | 0.205420i | ||||
\(139\) | −896.762 | − | 326.395i | −0.547211 | − | 0.199169i | 0.0535958 | − | 0.998563i | \(-0.482932\pi\) |
−0.600807 | + | 0.799394i | \(0.705154\pi\) | |||||||
\(140\) | −33.1796 | + | 27.8410i | −0.0200299 | + | 0.0168071i | ||||
\(141\) | 1450.16 | − | 1689.23i | 0.866141 | − | 1.00893i | ||||
\(142\) | 1854.09 | − | 674.834i | 1.09572 | − | 0.398809i | ||||
\(143\) | −1466.59 | + | 2540.20i | −0.857637 | + | 1.48547i | ||||
\(144\) | −942.834 | + | 319.307i | −0.545622 | + | 0.184784i | ||||
\(145\) | 541.372 | + | 937.684i | 0.310059 | + | 0.537037i | ||||
\(146\) | 75.6768 | + | 63.5004i | 0.0428977 | + | 0.0359954i | ||||
\(147\) | −615.013 | + | 1632.30i | −0.345071 | + | 0.915850i | ||||
\(148\) | 196.795 | + | 1116.08i | 0.109300 | + | 0.619872i | ||||
\(149\) | 158.401 | + | 898.335i | 0.0870919 | + | 0.493923i | 0.996886 | + | 0.0788619i | \(0.0251286\pi\) |
−0.909794 | + | 0.415061i | \(0.863760\pi\) | |||||||
\(150\) | −1028.25 | + | 169.391i | −0.559707 | + | 0.0922050i | ||||
\(151\) | −309.263 | − | 259.503i | −0.166672 | − | 0.139855i | 0.555637 | − | 0.831425i | \(-0.312475\pi\) |
−0.722309 | + | 0.691571i | \(0.756919\pi\) | |||||||
\(152\) | −1015.28 | − | 1758.51i | −0.541775 | − | 0.938382i | ||||
\(153\) | 1571.86 | + | 35.4088i | 0.830573 | + | 0.0187100i | ||||
\(154\) | 124.513 | − | 215.663i | 0.0651528 | − | 0.112848i | ||||
\(155\) | −932.830 | + | 339.522i | −0.483398 | + | 0.175942i | ||||
\(156\) | −328.087 | − | 934.007i | −0.168385 | − | 0.479362i | ||||
\(157\) | 1879.49 | − | 1577.08i | 0.955412 | − | 0.801685i | −0.0247890 | − | 0.999693i | \(-0.507891\pi\) |
0.980201 | + | 0.198007i | \(0.0634470\pi\) | |||||||
\(158\) | 803.169 | + | 292.329i | 0.404409 | + | 0.147193i | ||||
\(159\) | 2030.22 | − | 1141.86i | 1.01262 | − | 0.569531i | ||||
\(160\) | 120.423 | − | 682.954i | 0.0595018 | − | 0.337451i | ||||
\(161\) | −74.3256 | −0.0363831 | ||||||||
\(162\) | 1621.21 | − | 508.650i | 0.786262 | − | 0.246687i | ||||
\(163\) | 2510.23 | 1.20623 | 0.603117 | − | 0.797653i | \(-0.293925\pi\) | ||||
0.603117 | + | 0.797653i | \(0.293925\pi\) | |||||||
\(164\) | −37.8632 | + | 214.733i | −0.0180282 | + | 0.102243i | ||||
\(165\) | 1117.35 | − | 628.433i | 0.527186 | − | 0.296506i | ||||
\(166\) | −126.782 | − | 46.1447i | −0.0592781 | − | 0.0215755i | ||||
\(167\) | −2387.20 | + | 2003.10i | −1.10615 | + | 0.928169i | −0.997823 | − | 0.0659466i | \(-0.978993\pi\) |
−0.108325 | + | 0.994115i | \(0.534549\pi\) | |||||||
\(168\) | 114.646 | + | 326.377i | 0.0526496 | + | 0.149884i | ||||
\(169\) | −3109.59 | + | 1131.80i | −1.41538 | + | 0.515156i | ||||
\(170\) | 423.553 | − | 733.616i | 0.191089 | − | 0.330975i | ||||
\(171\) | 1069.26 | + | 1952.26i | 0.478176 | + | 0.873061i | ||||
\(172\) | −252.062 | − | 436.583i | −0.111741 | − | 0.193542i | ||||
\(173\) | 688.221 | + | 577.486i | 0.302454 | + | 0.253789i | 0.781365 | − | 0.624075i | \(-0.214524\pi\) |
−0.478911 | + | 0.877863i | \(0.658968\pi\) | |||||||
\(174\) | 2073.08 | − | 341.515i | 0.903218 | − | 0.148794i | ||||
\(175\) | 40.3860 | + | 229.040i | 0.0174451 | + | 0.0989362i | ||||
\(176\) | 253.066 | + | 1435.21i | 0.108384 | + | 0.614675i | ||||
\(177\) | −643.431 | + | 1707.73i | −0.273239 | + | 0.725201i | ||||
\(178\) | −2547.05 | − | 2137.23i | −1.07252 | − | 0.899955i | ||||
\(179\) | 907.223 | + | 1571.36i | 0.378821 | + | 0.656138i | 0.990891 | − | 0.134666i | \(-0.0429962\pi\) |
−0.612070 | + | 0.790804i | \(0.709663\pi\) | |||||||
\(180\) | −84.7081 | + | 424.290i | −0.0350765 | + | 0.175693i | ||||
\(181\) | −12.5828 | + | 21.7941i | −0.00516726 | + | 0.00894996i | −0.868597 | − | 0.495518i | \(-0.834978\pi\) |
0.863430 | + | 0.504468i | \(0.168311\pi\) | |||||||
\(182\) | 439.279 | − | 159.885i | 0.178910 | − | 0.0651178i | ||||
\(183\) | −1248.36 | + | 1454.16i | −0.504269 | + | 0.587402i | ||||
\(184\) | 518.841 | − | 435.359i | 0.207877 | − | 0.174430i | ||||
\(185\) | −2588.79 | − | 942.242i | −1.02882 | − | 0.374459i | ||||
\(186\) | −21.6923 | + | 1926.17i | −0.00855138 | + | 0.759320i | ||||
\(187\) | 399.710 | − | 2266.87i | 0.156308 | − | 0.886469i | ||||
\(188\) | 1100.06 | 0.426754 | ||||||||
\(189\) | −117.586 | − | 360.515i | −0.0452547 | − | 0.138749i | ||||
\(190\) | 1199.28 | 0.457919 | ||||||||
\(191\) | 303.311 | − | 1720.16i | 0.114905 | − | 0.651657i | −0.871893 | − | 0.489697i | \(-0.837107\pi\) |
0.986797 | − | 0.161960i | \(-0.0517816\pi\) | |||||||
\(192\) | −2476.29 | − | 1467.11i | −0.930784 | − | 0.551456i | ||||
\(193\) | −2367.51 | − | 861.705i | −0.882992 | − | 0.321383i | −0.139575 | − | 0.990211i | \(-0.544574\pi\) |
−0.743417 | + | 0.668829i | \(0.766796\pi\) | |||||||
\(194\) | −2041.67 | + | 1713.16i | −0.755584 | + | 0.634010i | ||||
\(195\) | 2365.07 | + | 444.543i | 0.868543 | + | 0.163253i | ||||
\(196\) | −809.915 | + | 294.785i | −0.295158 | + | 0.107429i | ||||
\(197\) | 908.545 | − | 1573.65i | 0.328584 | − | 0.569125i | −0.653647 | − | 0.756800i | \(-0.726762\pi\) |
0.982231 | + | 0.187675i | \(0.0600951\pi\) | |||||||
\(198\) | −376.683 | − | 2458.90i | −0.135200 | − | 0.882556i | ||||
\(199\) | −131.725 | − | 228.155i | −0.0469234 | − | 0.0812738i | 0.841610 | − | 0.540086i | \(-0.181608\pi\) |
−0.888533 | + | 0.458812i | \(0.848275\pi\) | |||||||
\(200\) | −1623.51 | − | 1362.29i | −0.573999 | − | 0.481642i | ||||
\(201\) | −1989.18 | − | 2425.57i | −0.698039 | − | 0.851176i | ||||
\(202\) | 182.550 | + | 1035.29i | 0.0635850 | + | 0.360609i | ||||
\(203\) | −81.4236 | − | 461.776i | −0.0281518 | − | 0.159657i | ||||
\(204\) | 492.634 | + | 600.708i | 0.169075 | + | 0.206167i | ||||
\(205\) | −406.040 | − | 340.708i | −0.138337 | − | 0.116078i | ||||
\(206\) | −18.6079 | − | 32.2298i | −0.00629355 | − | 0.0109008i | ||||
\(207\) | −579.359 | + | 464.313i | −0.194533 | + | 0.155903i | ||||
\(208\) | −1367.87 | + | 2369.22i | −0.455983 | + | 0.789786i | ||||
\(209\) | 3062.26 | − | 1114.57i | 1.01350 | − | 0.368882i | ||||
\(210\) | −200.794 | − | 37.7416i | −0.0659813 | − | 0.0124020i | ||||
\(211\) | 2735.26 | − | 2295.16i | 0.892432 | − | 0.748839i | −0.0762648 | − | 0.997088i | \(-0.524299\pi\) |
0.968696 | + | 0.248249i | \(0.0798550\pi\) | |||||||
\(212\) | 1081.53 | + | 393.646i | 0.350377 | + | 0.127527i | ||||
\(213\) | −3784.40 | − | 2242.12i | −1.21738 | − | 0.721257i | ||||
\(214\) | −77.1288 | + | 437.419i | −0.0246375 | + | 0.139726i | ||||
\(215\) | 1225.47 | 0.388728 | ||||||||
\(216\) | 2932.53 | + | 1827.87i | 0.923766 | + | 0.575792i | ||||
\(217\) | 429.903 | 0.134487 | ||||||||
\(218\) | 204.530 | − | 1159.95i | 0.0635438 | − | 0.360375i | ||||
\(219\) | 2.48013 | − | 220.223i | 0.000765259 | − | 0.0679512i | ||||
\(220\) | 595.231 | + | 216.646i | 0.182411 | + | 0.0663922i | ||||
\(221\) | 3310.09 | − | 2777.49i | 1.00751 | − | 0.845404i | ||||
\(222\) | −3482.14 | + | 4056.19i | −1.05273 | + | 1.22628i | ||||
\(223\) | −2659.24 | + | 967.883i | −0.798546 | + | 0.290647i | −0.708884 | − | 0.705325i | \(-0.750801\pi\) |
−0.0896619 | + | 0.995972i | \(0.528579\pi\) | |||||||
\(224\) | −150.163 | + | 260.090i | −0.0447911 | + | 0.0775804i | ||||
\(225\) | 1745.62 | + | 1533.05i | 0.517221 | + | 0.454237i | ||||
\(226\) | 2290.13 | + | 3966.63i | 0.674059 | + | 1.16750i | ||||
\(227\) | −2392.61 | − | 2007.64i | −0.699574 | − | 0.587013i | 0.222078 | − | 0.975029i | \(-0.428716\pi\) |
−0.921653 | + | 0.388016i | \(0.873160\pi\) | |||||||
\(228\) | −387.786 | + | 1029.22i | −0.112639 | + | 0.298955i | ||||
\(229\) | −365.834 | − | 2074.75i | −0.105568 | − | 0.598704i | −0.990992 | − | 0.133921i | \(-0.957243\pi\) |
0.885424 | − | 0.464784i | \(-0.153868\pi\) | |||||||
\(230\) | 69.4632 | + | 393.946i | 0.0199142 | + | 0.112939i | ||||
\(231\) | −547.786 | + | 90.2412i | −0.156025 | + | 0.0257032i | ||||
\(232\) | 3273.22 | + | 2746.56i | 0.926282 | + | 0.777243i | ||||
\(233\) | 3081.61 | + | 5337.51i | 0.866451 | + | 1.50074i | 0.865599 | + | 0.500737i | \(0.166938\pi\) |
0.000851595 | 1.00000i | \(0.499729\pi\) | ||||||||
\(234\) | 2425.33 | − | 3990.46i | 0.677558 | − | 1.11481i | ||||
\(235\) | −1337.06 | + | 2315.86i | −0.371151 | + | 0.642852i | ||||
\(236\) | −847.339 | + | 308.406i | −0.233716 | + | 0.0850658i | ||||
\(237\) | −631.505 | − | 1797.78i | −0.173083 | − | 0.492737i | ||||
\(238\) | −281.026 | + | 235.808i | −0.0765386 | + | 0.0642235i | ||||
\(239\) | −540.460 | − | 196.711i | −0.146274 | − | 0.0532393i | 0.267846 | − | 0.963462i | \(-0.413688\pi\) |
−0.414120 | + | 0.910223i | \(0.635910\pi\) | |||||||
\(240\) | 1042.14 | − | 586.132i | 0.280291 | − | 0.157645i | ||||
\(241\) | −881.084 | + | 4996.88i | −0.235501 | + | 1.33559i | 0.606057 | + | 0.795422i | \(0.292751\pi\) |
−0.841557 | + | 0.540168i | \(0.818361\pi\) | |||||||
\(242\) | −539.629 | −0.143342 | ||||||||
\(243\) | −3168.71 | − | 2075.61i | −0.836514 | − | 0.547945i | ||||
\(244\) | −946.971 | −0.248457 | ||||||||
\(245\) | 363.824 | − | 2063.35i | 0.0948728 | − | 0.538051i | ||||
\(246\) | −896.474 | + | 504.205i | −0.232346 | + | 0.130679i | ||||
\(247\) | 5748.47 | + | 2092.27i | 1.48084 | + | 0.538980i | ||||
\(248\) | −3001.00 | + | 2518.14i | −0.768402 | + | 0.644766i | ||||
\(249\) | 99.6842 | + | 283.783i | 0.0253704 | + | 0.0722251i | ||||
\(250\) | 2884.96 | − | 1050.04i | 0.729843 | − | 0.265641i | ||||
\(251\) | 909.067 | − | 1574.55i | 0.228605 | − | 0.395955i | −0.728790 | − | 0.684737i | \(-0.759917\pi\) |
0.957395 | + | 0.288782i | \(0.0932503\pi\) | |||||||
\(252\) | 97.3165 | − | 160.118i | 0.0243268 | − | 0.0400256i | ||||
\(253\) | 543.490 | + | 941.352i | 0.135055 | + | 0.233922i | ||||
\(254\) | 1709.32 | + | 1434.29i | 0.422254 | + | 0.354313i | ||||
\(255\) | −1863.40 | + | 306.972i | −0.457609 | + | 0.0753857i | ||||
\(256\) | −606.730 | − | 3440.93i | −0.148127 | − | 0.840072i | ||||
\(257\) | −326.294 | − | 1850.50i | −0.0791970 | − | 0.449149i | −0.998459 | − | 0.0555014i | \(-0.982324\pi\) |
0.919262 | − | 0.393647i | \(-0.128787\pi\) | |||||||
\(258\) | 838.431 | − | 2225.27i | 0.202320 | − | 0.536975i | ||||
\(259\) | 913.942 | + | 766.888i | 0.219265 | + | 0.183985i | ||||
\(260\) | 594.539 | + | 1029.77i | 0.141814 | + | 0.245630i | ||||
\(261\) | −3519.40 | − | 3090.83i | −0.834658 | − | 0.733018i | ||||
\(262\) | 1715.58 | − | 2971.48i | 0.404539 | − | 0.700682i | ||||
\(263\) | −3213.45 | + | 1169.60i | −0.753422 | + | 0.274223i | −0.690045 | − | 0.723767i | \(-0.742409\pi\) |
−0.0633767 | + | 0.997990i | \(0.520187\pi\) | |||||||
\(264\) | 3295.32 | − | 3838.58i | 0.768230 | − | 0.894879i | ||||
\(265\) | −2143.26 | + | 1798.41i | −0.496828 | + | 0.416888i | ||||
\(266\) | −488.044 | − | 177.634i | −0.112496 | − | 0.0409451i | ||||
\(267\) | −83.4735 | + | 7412.03i | −0.0191329 | + | 1.69891i | ||||
\(268\) | 269.154 | − | 1526.45i | 0.0613476 | − | 0.347920i | ||||
\(269\) | −55.2438 | −0.0125215 | −0.00626073 | − | 0.999980i | \(-0.501993\pi\) | ||||
−0.00626073 | + | 0.999980i | \(0.501993\pi\) | |||||||
\(270\) | −1800.93 | + | 960.168i | −0.405931 | + | 0.216422i | ||||
\(271\) | −4176.94 | −0.936276 | −0.468138 | − | 0.883655i | \(-0.655075\pi\) | ||||
−0.468138 | + | 0.883655i | \(0.655075\pi\) | |||||||
\(272\) | 372.805 | − | 2114.28i | 0.0831051 | − | 0.471313i | ||||
\(273\) | −896.616 | − | 531.213i | −0.198775 | − | 0.117767i | ||||
\(274\) | −1325.13 | − | 482.307i | −0.292168 | − | 0.106340i | ||||
\(275\) | 2605.54 | − | 2186.31i | 0.571345 | − | 0.479415i | ||||
\(276\) | −360.545 | − | 67.7689i | −0.0786315 | − | 0.0147797i | ||||
\(277\) | −1386.58 | + | 504.673i | −0.300763 | + | 0.109469i | −0.487994 | − | 0.872847i | \(-0.662271\pi\) |
0.187230 | + | 0.982316i | \(0.440049\pi\) | |||||||
\(278\) | 1112.14 | − | 1926.29i | 0.239935 | − | 0.415580i | ||||
\(279\) | 3351.04 | − | 2685.61i | 0.719074 | − | 0.576283i | ||||
\(280\) | −207.754 | − | 359.841i | −0.0443417 | − | 0.0768021i | ||||
\(281\) | 924.184 | + | 775.482i | 0.196200 | + | 0.164631i | 0.735595 | − | 0.677421i | \(-0.236903\pi\) |
−0.539395 | + | 0.842053i | \(0.681347\pi\) | |||||||
\(282\) | 3290.48 | + | 4012.35i | 0.694841 | + | 0.847276i | ||||
\(283\) | −255.320 | − | 1447.99i | −0.0536297 | − | 0.304149i | 0.946180 | − | 0.323640i | \(-0.104907\pi\) |
−0.999810 | + | 0.0194907i | \(0.993796\pi\) | |||||||
\(284\) | −377.420 | − | 2140.46i | −0.0788583 | − | 0.447228i | ||||
\(285\) | −1695.40 | − | 2067.34i | −0.352375 | − | 0.429680i | ||||
\(286\) | −5237.11 | − | 4394.45i | −1.08279 | − | 0.908565i | ||||
\(287\) | 114.773 | + | 198.792i | 0.0236056 | + | 0.0408862i | ||||
\(288\) | 454.282 | + | 2965.44i | 0.0929473 | + | 0.606738i | ||||
\(289\) | 761.021 | − | 1318.13i | 0.154900 | − | 0.268294i | ||||
\(290\) | −2371.44 | + | 863.133i | −0.480192 | + | 0.174776i | ||||
\(291\) | 5839.47 | + | 1097.60i | 1.17634 | + | 0.221108i | ||||
\(292\) | 83.3628 | − | 69.9497i | 0.0167070 | − | 0.0140188i | ||||
\(293\) | 2806.00 | + | 1021.30i | 0.559482 | + | 0.203635i | 0.606254 | − | 0.795271i | \(-0.292671\pi\) |
−0.0467724 | + | 0.998906i | \(0.514894\pi\) | |||||||
\(294\) | −3497.81 | − | 2072.33i | −0.693865 | − | 0.411090i | ||||
\(295\) | 380.635 | − | 2158.69i | 0.0751235 | − | 0.426046i | ||||
\(296\) | −10871.9 | −2.13485 | ||||||||
\(297\) | −3706.19 | + | 4125.44i | −0.724091 | + | 0.806002i | ||||
\(298\) | −2126.12 | −0.413297 | ||||||||
\(299\) | −354.325 | + | 2009.48i | −0.0685323 | + | 0.388666i | ||||
\(300\) | −12.9272 | + | 1147.87i | −0.00248784 | + | 0.220908i | ||||
\(301\) | −498.705 | − | 181.514i | −0.0954979 | − | 0.0347584i | ||||
\(302\) | 720.823 | − | 604.842i | 0.137347 | − | 0.115248i | ||||
\(303\) | 1526.59 | − | 1778.27i | 0.289441 | − | 0.337157i | ||||
\(304\) | 2856.13 | − | 1039.55i | 0.538850 | − | 0.196125i | ||||
\(305\) | 1151.00 | − | 1993.58i | 0.216085 | − | 0.374270i | ||||
\(306\) | −717.463 | + | 3593.67i | −0.134035 | + | 0.671360i | ||||
\(307\) | −2609.58 | − | 4519.93i | −0.485136 | − | 0.840280i | 0.514718 | − | 0.857359i | \(-0.327897\pi\) |
−0.999854 | + | 0.0170792i | \(0.994563\pi\) | |||||||
\(308\) | −210.139 | − | 176.328i | −0.0388760 | − | 0.0326208i | ||||
\(309\) | −29.2528 | + | 77.6396i | −0.00538554 | + | 0.0142937i | ||||
\(310\) | −401.779 | − | 2278.60i | −0.0736113 | − | 0.417470i | ||||
\(311\) | 1619.49 | + | 9184.59i | 0.295283 | + | 1.67463i | 0.666052 | + | 0.745906i | \(0.267983\pi\) |
−0.370769 | + | 0.928725i | \(0.620906\pi\) | |||||||
\(312\) | 9370.52 | − | 1543.68i | 1.70032 | − | 0.280108i | ||||
\(313\) | 2732.79 | + | 2293.08i | 0.493503 | + | 0.414098i | 0.855280 | − | 0.518166i | \(-0.173385\pi\) |
−0.361777 | + | 0.932265i | \(0.617830\pi\) | |||||||
\(314\) | 2859.28 | + | 4952.41i | 0.513880 | + | 0.890066i | ||||
\(315\) | 218.800 | + | 399.488i | 0.0391364 | + | 0.0714558i | ||||
\(316\) | 470.761 | − | 815.382i | 0.0838050 | − | 0.145154i | ||||
\(317\) | 504.110 | − | 183.481i | 0.0893175 | − | 0.0325089i | −0.296975 | − | 0.954885i | \(-0.595978\pi\) |
0.386292 | + | 0.922376i | \(0.373756\pi\) | |||||||
\(318\) | 1799.29 | + | 5122.25i | 0.317292 | + | 0.903276i | ||||
\(319\) | −5253.11 | + | 4407.88i | −0.921999 | + | 0.773649i | ||||
\(320\) | 3248.71 | + | 1182.43i | 0.567527 | + | 0.206563i | ||||
\(321\) | 863.070 | − | 485.417i | 0.150068 | − | 0.0844030i | ||||
\(322\) | 30.0822 | − | 170.604i | 0.00520625 | − | 0.0295261i | ||||
\(323\) | −4800.69 | −0.826989 | ||||||||
\(324\) | −241.685 | − | 1856.03i | −0.0414412 | − | 0.318250i | ||||
\(325\) | 6384.90 | 1.08976 | ||||||||
\(326\) | −1015.98 | + | 5761.88i | −0.172606 | + | 0.978900i | ||||
\(327\) | −2288.69 | + | 1287.23i | −0.387048 | + | 0.217688i | ||||
\(328\) | −1965.60 | − | 715.421i | −0.330891 | − | 0.120434i | ||||
\(329\) | 887.135 | − | 744.395i | 0.148661 | − | 0.124741i | ||||
\(330\) | 990.253 | + | 2819.08i | 0.165187 | + | 0.470258i | ||||
\(331\) | 7145.60 | − | 2600.78i | 1.18658 | − | 0.431879i | 0.328058 | − | 0.944658i | \(-0.393606\pi\) |
0.858521 | + | 0.512778i | \(0.171384\pi\) | |||||||
\(332\) | −74.3104 | + | 128.709i | −0.0122841 | + | 0.0212767i | ||||
\(333\) | 11914.8 | + | 268.401i | 1.96074 | + | 0.0441690i | ||||
\(334\) | −3631.65 | − | 6290.21i | −0.594956 | − | 1.03049i | ||||
\(335\) | 2886.36 | + | 2421.95i | 0.470743 | + | 0.395000i | ||||
\(336\) | −510.914 | + | 84.1669i | −0.0829543 | + | 0.0136657i | ||||
\(337\) | 1328.90 | + | 7536.54i | 0.214806 | + | 1.21822i | 0.881243 | + | 0.472663i | \(0.156707\pi\) |
−0.666438 | + | 0.745561i | \(0.732182\pi\) | |||||||
\(338\) | −1339.33 | − | 7595.71i | −0.215532 | − | 1.22234i | ||||
\(339\) | 3600.23 | − | 9555.35i | 0.576808 | − | 1.53090i | ||||
\(340\) | −714.828 | − | 599.812i | −0.114021 | − | 0.0956746i | ||||
\(341\) | −3143.57 | − | 5444.82i | −0.499220 | − | 0.864674i | ||||
\(342\) | −4913.92 | + | 1664.18i | −0.776943 | + | 0.263125i | ||||
\(343\) | −917.223 | + | 1588.68i | −0.144389 | + | 0.250089i | ||||
\(344\) | 4544.49 | − | 1654.06i | 0.712275 | − | 0.259247i | ||||
\(345\) | 580.894 | − | 676.658i | 0.0906500 | − | 0.105594i | ||||
\(346\) | −1604.09 | + | 1345.99i | −0.249238 | + | 0.209135i | ||||
\(347\) | −9254.22 | − | 3368.26i | −1.43168 | − | 0.521088i | −0.494267 | − | 0.869310i | \(-0.664563\pi\) |
−0.937412 | + | 0.348222i | \(0.886786\pi\) | |||||||
\(348\) | 26.0630 | − | 2314.26i | 0.00401472 | − | 0.356487i | ||||
\(349\) | 517.464 | − | 2934.69i | 0.0793674 | − | 0.450115i | −0.919063 | − | 0.394110i | \(-0.871053\pi\) |
0.998431 | − | 0.0560046i | \(-0.0178361\pi\) | |||||||
\(350\) | −542.077 | −0.0827863 | ||||||||
\(351\) | −10307.5 | + | 1460.43i | −1.56745 | + | 0.222085i | ||||
\(352\) | 4392.14 | 0.665062 | ||||||||
\(353\) | −2152.20 | + | 12205.8i | −0.324505 | + | 1.84036i | 0.188627 | + | 0.982049i | \(0.439596\pi\) |
−0.513131 | + | 0.858310i | \(0.671515\pi\) | |||||||
\(354\) | −3659.43 | − | 2168.08i | −0.549426 | − | 0.325515i | ||||
\(355\) | 4964.87 | + | 1807.07i | 0.742276 | + | 0.270166i | ||||
\(356\) | −2805.73 | + | 2354.29i | −0.417707 | + | 0.350498i | ||||
\(357\) | 803.775 | + | 151.079i | 0.119160 | + | 0.0223976i | ||||
\(358\) | −3974.02 | + | 1446.42i | −0.586685 | + | 0.213536i | ||||
\(359\) | 5508.78 | − | 9541.49i | 0.809867 | − | 1.40273i | −0.103088 | − | 0.994672i | \(-0.532872\pi\) |
0.912955 | − | 0.408059i | \(-0.133794\pi\) | |||||||
\(360\) | −3867.34 | − | 1507.07i | −0.566186 | − | 0.220638i | ||||
\(361\) | 31.2529 | + | 54.1316i | 0.00455648 | + | 0.00789206i | ||||
\(362\) | −44.9327 | − | 37.7030i | −0.00652378 | − | 0.00547410i | ||||
\(363\) | 762.867 | + | 930.226i | 0.110303 | + | 0.134502i | ||||
\(364\) | −89.4200 | − | 507.126i | −0.0128760 | − | 0.0730237i | ||||
\(365\) | 45.9363 | + | 260.518i | 0.00658744 | + | 0.0373592i | ||||
\(366\) | −2832.57 | − | 3453.98i | −0.404538 | − | 0.493286i | ||||
\(367\) | 3192.07 | + | 2678.47i | 0.454018 | + | 0.380967i | 0.840924 | − | 0.541152i | \(-0.182012\pi\) |
−0.386906 | + | 0.922119i | \(0.626456\pi\) | |||||||
\(368\) | 506.906 | + | 877.987i | 0.0718052 | + | 0.124370i | ||||
\(369\) | 2136.49 | + | 832.575i | 0.301413 | + | 0.117458i | ||||
\(370\) | 3210.56 | − | 5560.85i | 0.451105 | − | 0.781338i | ||||
\(371\) | 1138.57 | − | 414.406i | 0.159331 | − | 0.0579917i | ||||
\(372\) | 2085.41 | + | 391.978i | 0.290655 | + | 0.0546321i | ||||
\(373\) | −8891.59 | + | 7460.93i | −1.23429 | + | 1.03569i | −0.236339 | + | 0.971671i | \(0.575948\pi\) |
−0.997949 | + | 0.0640196i | \(0.979608\pi\) | |||||||
\(374\) | 5041.51 | + | 1834.96i | 0.697032 | + | 0.253699i | ||||
\(375\) | −5888.51 | − | 3488.73i | −0.810884 | − | 0.480420i | ||||
\(376\) | −1832.52 | + | 10392.7i | −0.251342 | + | 1.42543i | ||||
\(377\) | −12872.8 | −1.75858 | ||||||||
\(378\) | 875.105 | − | 123.990i | 0.119076 | − | 0.0168713i | ||||
\(379\) | −7443.38 | −1.00881 | −0.504407 | − | 0.863466i | \(-0.668289\pi\) | ||||
−0.504407 | + | 0.863466i | \(0.668289\pi\) | |||||||
\(380\) | 229.403 | − | 1301.01i | 0.0309687 | − | 0.175632i | ||||
\(381\) | 56.0191 | − | 4974.22i | 0.00753266 | − | 0.668863i | ||||
\(382\) | 3825.64 | + | 1392.42i | 0.512400 | + | 0.186498i | ||||
\(383\) | 5971.10 | − | 5010.35i | 0.796629 | − | 0.668451i | −0.150747 | − | 0.988572i | \(-0.548168\pi\) |
0.947377 | + | 0.320121i | \(0.103724\pi\) | |||||||
\(384\) | 1361.19 | − | 1585.59i | 0.180893 | − | 0.210715i | ||||
\(385\) | 626.623 | − | 228.072i | 0.0829498 | − | 0.0301913i | ||||
\(386\) | 2936.14 | − | 5085.55i | 0.387165 | − | 0.670589i | ||||
\(387\) | −5021.26 | + | 1700.53i | −0.659548 | + | 0.223367i | ||||
\(388\) | 1467.95 | + | 2542.56i | 0.192072 | + | 0.332678i | ||||
\(389\) | 2589.80 | + | 2173.10i | 0.337553 | + | 0.283240i | 0.795769 | − | 0.605600i | \(-0.207067\pi\) |
−0.458216 | + | 0.888841i | \(0.651511\pi\) | |||||||
\(390\) | −1977.61 | + | 5248.77i | −0.256770 | + | 0.681491i | ||||
\(391\) | −278.060 | − | 1576.96i | −0.0359645 | − | 0.203965i | ||||
\(392\) | −1435.77 | − | 8142.68i | −0.184994 | − | 1.04915i | ||||
\(393\) | −7547.61 | + | 1243.38i | −0.968770 | + | 0.159593i | ||||
\(394\) | 3244.37 | + | 2722.35i | 0.414845 | + | 0.348096i | ||||
\(395\) | 1144.37 | + | 1982.11i | 0.145771 | + | 0.252483i | ||||
\(396\) | −2739.53 | − | 61.7124i | −0.347643 | − | 0.00783123i | ||||
\(397\) | 986.308 | − | 1708.34i | 0.124689 | − | 0.215967i | −0.796923 | − | 0.604082i | \(-0.793540\pi\) |
0.921611 | + | 0.388114i | \(0.126873\pi\) | |||||||
\(398\) | 577.013 | − | 210.015i | 0.0726709 | − | 0.0264501i | ||||
\(399\) | 383.733 | + | 1092.42i | 0.0481470 | + | 0.137066i | ||||
\(400\) | 2430.15 | − | 2039.14i | 0.303769 | − | 0.254893i | ||||
\(401\) | 6067.75 | + | 2208.48i | 0.755634 | + | 0.275028i | 0.690974 | − | 0.722879i | \(-0.257182\pi\) |
0.0646593 | + | 0.997907i | \(0.479404\pi\) | |||||||
\(402\) | 6372.65 | − | 3584.18i | 0.790644 | − | 0.444683i | ||||
\(403\) | 2049.44 | − | 11622.9i | 0.253324 | − | 1.43667i | ||||
\(404\) | 1158.03 | 0.142610 | ||||||||
\(405\) | 4201.12 | + | 1747.12i | 0.515445 | + | 0.214358i | ||||
\(406\) | 1092.90 | 0.133595 | ||||||||
\(407\) | 3029.82 | − | 17183.0i | 0.368999 | − | 2.09270i | ||||
\(408\) | −6495.80 | + | 3653.44i | −0.788211 | + | 0.443315i | ||||
\(409\) | −2929.07 | − | 1066.09i | −0.354116 | − | 0.128888i | 0.158836 | − | 0.987305i | \(-0.449226\pi\) |
−0.512952 | + | 0.858417i | \(0.671448\pi\) | |||||||
\(410\) | 946.387 | − | 794.113i | 0.113997 | − | 0.0956547i | ||||
\(411\) | 1041.90 | + | 2966.12i | 0.125045 | + | 0.355980i | ||||
\(412\) | −38.5232 | + | 14.0213i | −0.00460655 | + | 0.00167665i | ||||
\(413\) | −474.638 | + | 822.097i | −0.0565506 | + | 0.0979485i | ||||
\(414\) | −831.280 | − | 1517.76i | −0.0986840 | − | 0.180179i | ||||
\(415\) | −180.641 | − | 312.880i | −0.0213671 | − | 0.0370088i | ||||
\(416\) | 6315.98 | + | 5299.74i | 0.744391 | + | 0.624618i | ||||
\(417\) | −4892.81 | + | 806.032i | −0.574585 | + | 0.0946560i | ||||
\(418\) | 1318.94 | + | 7480.10i | 0.154334 | + | 0.875272i | ||||
\(419\) | 1908.57 | + | 10824.0i | 0.222529 | + | 1.26203i | 0.867352 | + | 0.497695i | \(0.165820\pi\) |
−0.644823 | + | 0.764332i | \(0.723069\pi\) | |||||||
\(420\) | −79.3519 | + | 210.607i | −0.00921899 | + | 0.0244680i | ||||
\(421\) | 973.947 | + | 817.239i | 0.112749 | + | 0.0946075i | 0.697419 | − | 0.716664i | \(-0.254332\pi\) |
−0.584670 | + | 0.811271i | \(0.698776\pi\) | |||||||
\(422\) | 4161.16 | + | 7207.35i | 0.480005 | + | 0.831394i | ||||
\(423\) | 2264.87 | − | 11344.4i | 0.260335 | − | 1.30398i | ||||
\(424\) | −5520.60 | + | 9561.96i | −0.632321 | + | 1.09521i | ||||
\(425\) | −4708.44 | + | 1713.73i | −0.537395 | + | 0.195596i | ||||
\(426\) | 6678.17 | − | 7779.12i | 0.759526 | − | 0.884740i | ||||
\(427\) | −763.681 | + | 640.804i | −0.0865506 | + | 0.0726246i | ||||
\(428\) | 459.771 | + | 167.343i | 0.0519249 | + | 0.0188991i | ||||
\(429\) | −171.634 | + | 15240.2i | −0.0193160 | + | 1.71516i | ||||
\(430\) | −495.991 | + | 2812.91i | −0.0556252 | + | 0.315466i | ||||
\(431\) | 9788.90 | 1.09400 | 0.547001 | − | 0.837132i | \(-0.315769\pi\) | ||||
0.547001 | + | 0.837132i | \(0.315769\pi\) | |||||||
\(432\) | −3456.72 | + | 3847.75i | −0.384981 | + | 0.428530i | ||||
\(433\) | −554.607 | −0.0615536 | −0.0307768 | − | 0.999526i | \(-0.509798\pi\) | ||||
−0.0307768 | + | 0.999526i | \(0.509798\pi\) | |||||||
\(434\) | −173.997 | + | 986.784i | −0.0192445 | + | 0.109141i | ||||
\(435\) | 4840.36 | + | 2867.74i | 0.533512 | + | 0.316087i | ||||
\(436\) | −1219.22 | − | 443.760i | −0.133922 | − | 0.0487437i | ||||
\(437\) | 1736.62 | − | 1457.20i | 0.190100 | − | 0.159513i | ||||
\(438\) | 504.489 | + | 94.8248i | 0.0550352 | + | 0.0103445i | ||||
\(439\) | 527.503 | − | 191.995i | 0.0573493 | − | 0.0208734i | −0.313186 | − | 0.949692i | \(-0.601396\pi\) |
0.370536 | + | 0.928818i | \(0.379174\pi\) | |||||||
\(440\) | −3038.31 | + | 5262.51i | −0.329195 | + | 0.570182i | ||||
\(441\) | 1372.48 | + | 8959.23i | 0.148200 | + | 0.967415i | ||||
\(442\) | 5035.65 | + | 8722.00i | 0.541903 | + | 0.938604i | ||||
\(443\) | −13469.2 | − | 11302.0i | −1.44456 | − | 1.21213i | −0.936431 | − | 0.350851i | \(-0.885892\pi\) |
−0.508130 | − | 0.861280i | \(-0.669663\pi\) | |||||||
\(444\) | 3734.19 | + | 4553.41i | 0.399137 | + | 0.486701i | ||||
\(445\) | −1546.07 | − | 8768.22i | −0.164699 | − | 0.934053i | ||||
\(446\) | −1145.36 | − | 6495.65i | −0.121602 | − | 0.689637i | ||||
\(447\) | 3005.66 | + | 3665.05i | 0.318038 | + | 0.387810i | ||||
\(448\) | −1146.92 | − | 962.381i | −0.120953 | − | 0.101492i | ||||
\(449\) | −2896.70 | − | 5017.23i | −0.304463 | − | 0.527345i | 0.672679 | − | 0.739934i | \(-0.265144\pi\) |
−0.977142 | + | 0.212590i | \(0.931810\pi\) | |||||||
\(450\) | −4225.42 | + | 3386.36i | −0.442641 | + | 0.354743i | ||||
\(451\) | 1678.50 | − | 2907.25i | 0.175249 | − | 0.303541i | ||||
\(452\) | 4741.17 | − | 1725.65i | 0.493376 | − | 0.179574i | ||||
\(453\) | −2061.66 | − | 387.514i | −0.213831 | − | 0.0401920i | ||||
\(454\) | 5576.64 | − | 4679.36i | 0.576486 | − | 0.483729i | ||||
\(455\) | 1176.30 | + | 428.137i | 0.121199 | + | 0.0441130i | ||||
\(456\) | −9077.51 | − | 5378.10i | −0.932222 | − | 0.552308i | ||||
\(457\) | −129.874 | + | 736.553i | −0.0132938 | + | 0.0753928i | −0.990733 | − | 0.135825i | \(-0.956632\pi\) |
0.977439 | + | 0.211217i | \(0.0677428\pi\) | |||||||
\(458\) | 4910.37 | 0.500975 | ||||||||
\(459\) | 7209.12 | − | 3843.54i | 0.733100 | − | 0.390852i | ||||
\(460\) | 440.650 | 0.0446640 | ||||||||
\(461\) | −1984.93 | + | 11257.1i | −0.200537 | + | 1.13730i | 0.703774 | + | 0.710424i | \(0.251497\pi\) |
−0.904310 | + | 0.426876i | \(0.859614\pi\) | |||||||
\(462\) | 14.5717 | − | 1293.89i | 0.00146739 | − | 0.130297i | ||||
\(463\) | −6328.14 | − | 2303.25i | −0.635191 | − | 0.231191i | 0.00429807 | − | 0.999991i | \(-0.498632\pi\) |
−0.639489 | + | 0.768800i | \(0.720854\pi\) | |||||||
\(464\) | −4899.51 | + | 4111.18i | −0.490203 | + | 0.411329i | ||||
\(465\) | −3359.92 | + | 3913.82i | −0.335080 | + | 0.390321i | ||||
\(466\) | −13498.8 | + | 4913.15i | −1.34188 | + | 0.488406i | ||||
\(467\) | −753.154 | + | 1304.50i | −0.0746292 | + | 0.129261i | −0.900925 | − | 0.433975i | \(-0.857111\pi\) |
0.826296 | + | 0.563236i | \(0.190444\pi\) | |||||||
\(468\) | −3865.04 | − | 3394.38i | −0.381755 | − | 0.335267i | ||||
\(469\) | −815.870 | − | 1413.13i | −0.0803270 | − | 0.139130i | ||||
\(470\) | −4774.59 | − | 4006.36i | −0.468586 | − | 0.393190i | ||||
\(471\) | 4494.96 | − | 11930.1i | 0.439739 | − | 1.16711i | ||||
\(472\) | −1502.12 | − | 8518.94i | −0.146484 | − | 0.830754i | ||||
\(473\) | 1347.75 | + | 7643.49i | 0.131014 | + | 0.743019i | ||||
\(474\) | 4382.16 | − | 721.908i | 0.424640 | − | 0.0699543i | ||||
\(475\) | −5434.09 | − | 4559.74i | −0.524911 | − | 0.440453i | ||||
\(476\) | 202.056 | + | 349.971i | 0.0194563 | + | 0.0336993i | ||||
\(477\) | 6286.23 | − | 10342.9i | 0.603411 | − | 0.992808i | ||||
\(478\) | 670.267 | − | 1160.94i | 0.0641366 | − | 0.111088i | ||||
\(479\) | −7393.80 | + | 2691.12i | −0.705285 | + | 0.256703i | −0.669666 | − | 0.742663i | \(-0.733563\pi\) |
−0.0356191 | + | 0.999365i | \(0.511340\pi\) | |||||||
\(480\) | −1194.25 | − | 3399.82i | −0.113562 | − | 0.323292i | ||||
\(481\) | 25090.6 | − | 21053.6i | 2.37845 | − | 1.99576i | ||||
\(482\) | −11113.0 | − | 4044.82i | −1.05018 | − | 0.382233i | ||||
\(483\) | −336.619 | + | 189.325i | −0.0317116 | + | 0.0178356i | ||||
\(484\) | −103.223 | + | 585.405i | −0.00969409 | + | 0.0549779i | ||||
\(485\) | −7136.87 | −0.668183 | ||||||||
\(486\) | 6046.78 | − | 6433.27i | 0.564377 | − | 0.600451i | ||||
\(487\) | −12030.9 | −1.11945 | −0.559724 | − | 0.828679i | \(-0.689093\pi\) | ||||
−0.559724 | + | 0.828679i | \(0.689093\pi\) | |||||||
\(488\) | 1577.50 | − | 8946.45i | 0.146332 | − | 0.829891i | ||||
\(489\) | 11368.7 | − | 6394.14i | 1.05135 | − | 0.591315i | ||||
\(490\) | 4588.88 | + | 1670.22i | 0.423070 | + | 0.153985i | ||||
\(491\) | −8360.94 | + | 7015.66i | −0.768481 | + | 0.644832i | −0.940319 | − | 0.340293i | \(-0.889474\pi\) |
0.171839 | + | 0.985125i | \(0.445029\pi\) | |||||||
\(492\) | 375.494 | + | 1068.97i | 0.0344077 | + | 0.0979527i | ||||
\(493\) | 9492.84 | − | 3455.11i | 0.867213 | − | 0.315640i | ||||
\(494\) | −7129.13 | + | 12348.0i | −0.649301 | + | 1.12462i | ||||
\(495\) | 3459.68 | − | 5692.32i | 0.314144 | − | 0.516870i | ||||
\(496\) | −2931.97 | − | 5078.32i | −0.265422 | − | 0.459725i | ||||
\(497\) | −1752.79 | − | 1470.77i | −0.158196 | − | 0.132742i | ||||
\(498\) | −691.732 | + | 113.954i | −0.0622435 | + | 0.0102539i | ||||
\(499\) | 2712.48 | + | 15383.2i | 0.243341 | + | 1.38006i | 0.824314 | + | 0.566133i | \(0.191561\pi\) |
−0.580973 | + | 0.813923i | \(0.697328\pi\) | |||||||
\(500\) | −587.264 | − | 3330.54i | −0.0525265 | − | 0.297893i | ||||
\(501\) | −5709.19 | + | 15152.7i | −0.509117 | + | 1.35124i | ||||
\(502\) | 3246.23 | + | 2723.91i | 0.288619 | + | 0.242180i | ||||
\(503\) | 9728.26 | + | 16849.8i | 0.862349 | + | 1.49363i | 0.869656 | + | 0.493659i | \(0.164341\pi\) |
−0.00730688 | + | 0.999973i | \(0.502326\pi\) | |||||||
\(504\) | 1350.59 | + | 1186.12i | 0.119365 | + | 0.104829i | ||||
\(505\) | −1407.53 | + | 2437.92i | −0.124028 | + | 0.214824i | ||||
\(506\) | −2380.71 | + | 866.509i | −0.209161 | + | 0.0761285i | ||||
\(507\) | −11200.3 | + | 13046.7i | −0.981108 | + | 1.14285i | ||||
\(508\) | 1882.93 | − | 1579.96i | 0.164452 | − | 0.137991i | ||||
\(509\) | −12484.3 | − | 4543.90i | −1.08714 | − | 0.395687i | −0.264580 | − | 0.964364i | \(-0.585233\pi\) |
−0.822561 | + | 0.568677i | \(0.807456\pi\) | |||||||
\(510\) | 49.5682 | − | 4401.42i | 0.00430376 | − | 0.382153i | ||||
\(511\) | 19.8934 | − | 112.821i | 0.00172218 | − | 0.00976696i | ||||
\(512\) | 11361.1 | 0.980653 | ||||||||
\(513\) | 9815.51 | + | 6118.10i | 0.844767 | + | 0.526551i | ||||
\(514\) | 4379.64 | 0.375832 | ||||||||
\(515\) | 17.3051 | − | 98.1420i | 0.00148069 | − | 0.00839739i | ||||
\(516\) | −2253.66 | − | 1335.21i | −0.192271 | − | 0.113914i | ||||
\(517\) | −15914.9 | − | 5792.56i | −1.35384 | − | 0.492759i | ||||
\(518\) | −2130.19 | + | 1787.44i | −0.180686 | + | 0.151613i | ||||
\(519\) | 4587.93 | + | 862.356i | 0.388030 | + | 0.0729350i | ||||
\(520\) | −10719.1 | + | 3901.44i | −0.903970 | + | 0.329018i | ||||
\(521\) | 1678.81 | − | 2907.79i | 0.141171 | − | 0.244516i | −0.786767 | − | 0.617250i | \(-0.788247\pi\) |
0.927938 | + | 0.372735i | \(0.121580\pi\) | |||||||
\(522\) | 8519.01 | − | 6827.35i | 0.714305 | − | 0.572461i | ||||
\(523\) | 5383.99 | + | 9325.34i | 0.450144 | + | 0.779672i | 0.998395 | − | 0.0566419i | \(-0.0180393\pi\) |
−0.548251 | + | 0.836314i | \(0.684706\pi\) | |||||||
\(524\) | −2895.38 | − | 2429.51i | −0.241384 | − | 0.202545i | ||||
\(525\) | 766.327 | + | 934.445i | 0.0637053 | + | 0.0776810i | ||||
\(526\) | −1384.06 | − | 7849.42i | −0.114730 | − | 0.650667i | ||||
\(527\) | 1608.32 | + | 9121.21i | 0.132940 | + | 0.753940i | ||||
\(528\) | 4801.94 | + | 5855.39i | 0.395791 | + | 0.482620i | ||||
\(529\) | −8741.21 | − | 7334.74i | −0.718436 | − | 0.602839i | ||||
\(530\) | −3260.55 | − | 5647.44i | −0.267225 | − | 0.462847i | ||||
\(531\) | 1435.90 | + | 9373.21i | 0.117350 | + | 0.766032i | ||||
\(532\) | −286.057 | + | 495.465i | −0.0233123 | + | 0.0403781i | ||||
\(533\) | 5921.72 | − | 2155.33i | 0.481235 | − | 0.175155i | ||||
\(534\) | −16979.5 | − | 3191.51i | −1.37599 | − | 0.258633i | ||||
\(535\) | −911.123 | + | 764.523i | −0.0736285 | + | 0.0617817i | ||||
\(536\) | 13972.6 | + | 5085.62i | 1.12598 | + | 0.409824i | ||||
\(537\) | 8111.40 | + | 4805.72i | 0.651830 | + | 0.386186i | ||||
\(538\) | 22.3591 | − | 126.805i | 0.00179176 | − | 0.0101616i | ||||
\(539\) | 13269.6 | 1.06041 | ||||||||
\(540\) | 697.127 | + | 2137.37i | 0.0555547 | + | 0.170329i | ||||
\(541\) | 10631.7 | 0.844900 | 0.422450 | − | 0.906386i | \(-0.361170\pi\) | ||||
0.422450 | + | 0.906386i | \(0.361170\pi\) | |||||||
\(542\) | 1690.55 | − | 9587.59i | 0.133977 | − | 0.759819i | ||||
\(543\) | −1.47256 | + | 130.756i | −0.000116379 | + | 0.0103339i | ||||
\(544\) | −6080.09 | − | 2212.97i | −0.479194 | − | 0.174412i | ||||
\(545\) | 2416.12 | − | 2027.36i | 0.189899 | − | 0.159344i | ||||
\(546\) | 1582.22 | − | 1843.06i | 0.124016 | − | 0.144461i | ||||
\(547\) | 7239.72 | − | 2635.04i | 0.565901 | − | 0.205971i | −0.0431962 | − | 0.999067i | \(-0.513754\pi\) |
0.609097 | + | 0.793095i | \(0.291532\pi\) | |||||||
\(548\) | −776.697 | + | 1345.28i | −0.0605453 | + | 0.104868i | ||||
\(549\) | −1949.69 | + | 9765.71i | −0.151568 | + | 0.759181i | ||||
\(550\) | 3963.82 | + | 6865.53i | 0.307305 | + | 0.532268i | ||||
\(551\) | 10955.8 | + | 9193.04i | 0.847068 | + | 0.710774i | ||||
\(552\) | 1240.85 | − | 3293.34i | 0.0956779 | − | 0.253938i | ||||
\(553\) | −172.116 | − | 976.119i | −0.0132353 | − | 0.0750612i | ||||
\(554\) | −597.213 | − | 3386.96i | −0.0457999 | − | 0.259744i | ||||
\(555\) | −14124.7 | + | 2326.87i | −1.08029 | + | 0.177964i | ||||
\(556\) | −1876.96 | − | 1574.96i | −0.143167 | − | 0.120131i | ||||
\(557\) | −7812.89 | − | 13532.3i | −0.594332 | − | 1.02941i | −0.993641 | − | 0.112597i | \(-0.964083\pi\) |
0.399309 | − | 0.916817i | \(-0.369250\pi\) | |||||||
\(558\) | 4808.16 | + | 8778.82i | 0.364777 | + | 0.666016i | ||||
\(559\) | −7284.86 | + | 12617.7i | −0.551193 | + | 0.954694i | ||||
\(560\) | 584.444 | − | 212.720i | 0.0441023 | − | 0.0160519i | ||||
\(561\) | −3963.97 | − | 11284.7i | −0.298323 | − | 0.849272i | ||||
\(562\) | −2154.06 | + | 1807.47i | −0.161679 | + | 0.135665i | ||||
\(563\) | −3110.45 | − | 1132.11i | −0.232842 | − | 0.0847475i | 0.222964 | − | 0.974827i | \(-0.428427\pi\) |
−0.455806 | + | 0.890079i | \(0.650649\pi\) | |||||||
\(564\) | 4982.12 | − | 2802.10i | 0.371960 | − | 0.209202i | ||||
\(565\) | −2129.79 | + | 12078.7i | −0.158586 | + | 0.899386i | ||||
\(566\) | 3427.01 | 0.254502 | ||||||||
\(567\) | −1450.86 | − | 1333.25i | −0.107461 | − | 0.0987496i | ||||
\(568\) | 20850.5 | 1.54026 | ||||||||
\(569\) | 2333.03 | − | 13231.3i | 0.171891 | − | 0.974840i | −0.769781 | − | 0.638308i | \(-0.779635\pi\) |
0.941672 | − | 0.336532i | \(-0.109254\pi\) | |||||||
\(570\) | 5431.49 | − | 3054.84i | 0.399123 | − | 0.224479i | ||||
\(571\) | 20350.2 | + | 7406.86i | 1.49147 | + | 0.542850i | 0.953836 | − | 0.300328i | \(-0.0970962\pi\) |
0.537633 | + | 0.843179i | \(0.319318\pi\) | |||||||
\(572\) | −5769.00 | + | 4840.77i | −0.421703 | + | 0.353851i | ||||
\(573\) | −3007.97 | − | 8563.17i | −0.219302 | − | 0.624313i | ||||
\(574\) | −502.753 | + | 182.987i | −0.0365583 | + | 0.0133062i | ||||
\(575\) | 1183.06 | − | 2049.13i | 0.0858037 | − | 0.148616i | ||||
\(576\) | −14952.1 | − | 336.821i | −1.08160 | − | 0.0243649i | ||||
\(577\) | −6942.37 | − | 12024.5i | −0.500892 | − | 0.867570i | −0.999999 | − | 0.00103001i | \(-0.999672\pi\) |
0.499108 | − | 0.866540i | \(-0.333661\pi\) | |||||||
\(578\) | 2717.57 | + | 2280.31i | 0.195564 | + | 0.164098i | ||||
\(579\) | −12917.4 | + | 2127.98i | −0.927164 | + | 0.152739i | ||||
\(580\) | 482.732 | + | 2737.71i | 0.0345592 | + | 0.195995i | ||||
\(581\) | 27.1688 | + | 154.082i | 0.00194002 | + | 0.0110024i | ||||
\(582\) | −4882.83 | + | 12959.5i | −0.347766 | + | 0.923003i | ||||
\(583\) | −13574.1 | − | 11390.0i | −0.964292 | − | 0.809137i | ||||
\(584\) | 521.976 | + | 904.090i | 0.0369855 | + | 0.0640608i | ||||
\(585\) | 11843.7 | − | 4011.06i | 0.837053 | − | 0.283482i | ||||
\(586\) | −3479.94 | + | 6027.43i | −0.245316 | + | 0.424899i | ||||
\(587\) | 3702.30 | − | 1347.53i | 0.260324 | − | 0.0947501i | −0.208561 | − | 0.978009i | \(-0.566878\pi\) |
0.468885 | + | 0.883259i | \(0.344656\pi\) | |||||||
\(588\) | −2917.19 | + | 3398.12i | −0.204597 | + | 0.238326i | ||||
\(589\) | −10044.7 | + | 8428.49i | −0.702689 | + | 0.589626i | ||||
\(590\) | 4800.92 | + | 1747.39i | 0.335001 | + | 0.121930i | ||||
\(591\) | 106.327 | − | 9441.28i | 0.00740049 | − | 0.657127i | ||||
\(592\) | 2825.88 | − | 16026.4i | 0.196187 | − | 1.11263i | ||||
\(593\) | 12075.4 | 0.836219 | 0.418109 | − | 0.908397i | \(-0.362693\pi\) | ||||
0.418109 | + | 0.908397i | \(0.362693\pi\) | |||||||
\(594\) | −7969.37 | − | 10176.8i | −0.550484 | − | 0.702959i | ||||
\(595\) | −982.355 | −0.0676851 | ||||||||
\(596\) | −406.693 | + | 2306.47i | −0.0279510 | + | 0.158518i | ||||
\(597\) | −1177.75 | − | 697.772i | −0.0807402 | − | 0.0478357i | ||||
\(598\) | −4469.08 | − | 1626.61i | −0.305609 | − | 0.111233i | ||||
\(599\) | 3521.24 | − | 2954.67i | 0.240190 | − | 0.201544i | −0.514744 | − | 0.857344i | \(-0.672113\pi\) |
0.754935 | + | 0.655800i | \(0.227669\pi\) | |||||||
\(600\) | −10822.9 | − | 2034.30i | −0.736407 | − | 0.138417i | ||||
\(601\) | −12007.3 | + | 4370.29i | −0.814954 | + | 0.296619i | −0.715669 | − | 0.698440i | \(-0.753878\pi\) |
−0.0992853 | + | 0.995059i | \(0.531656\pi\) | |||||||
\(602\) | 618.483 | − | 1071.24i | 0.0418729 | − | 0.0725260i | ||||
\(603\) | −15187.4 | − | 5918.42i | −1.02567 | − | 0.399696i | ||||
\(604\) | −518.268 | − | 897.666i | −0.0349139 | − | 0.0604727i | ||||
\(605\) | −1106.95 | − | 928.837i | −0.0743863 | − | 0.0624175i | ||||
\(606\) | 3463.90 | + | 4223.81i | 0.232197 | + | 0.283137i | ||||
\(607\) | 4788.12 | + | 27154.8i | 0.320171 | + | 1.81578i | 0.541637 | + | 0.840612i | \(0.317805\pi\) |
−0.221466 | + | 0.975168i | \(0.571084\pi\) | |||||||
\(608\) | −1590.65 | − | 9021.04i | −0.106101 | − | 0.601730i | ||||
\(609\) | −1545.02 | − | 1883.97i | −0.102803 | − | 0.125357i | ||||
\(610\) | 4110.15 | + | 3448.83i | 0.272812 | + | 0.228916i | ||||
\(611\) | −15896.4 | − | 27533.4i | −1.05254 | − | 1.82305i | ||||
\(612\) | 3761.27 | + | 1465.74i | 0.248432 | + | 0.0968119i | ||||
\(613\) | 13671.0 | − | 23678.9i | 0.900760 | − | 1.56016i | 0.0742512 | − | 0.997240i | \(-0.476343\pi\) |
0.826509 | − | 0.562923i | \(-0.190323\pi\) | |||||||
\(614\) | 11431.1 | − | 4160.57i | 0.751336 | − | 0.273464i | ||||
\(615\) | −2706.81 | − | 508.777i | −0.177478 | − | 0.0333591i | ||||
\(616\) | 2015.90 | − | 1691.54i | 0.131856 | − | 0.110640i | ||||
\(617\) | −11248.8 | − | 4094.25i | −0.733973 | − | 0.267144i | −0.0521276 | − | 0.998640i | \(-0.516600\pi\) |
−0.681846 | + | 0.731496i | \(0.738822\pi\) | |||||||
\(618\) | −166.371 | − | 98.5692i | −0.0108292 | − | 0.00641591i | ||||
\(619\) | −3036.42 | + | 17220.4i | −0.197163 | + | 1.11817i | 0.712141 | + | 0.702036i | \(0.247726\pi\) |
−0.909304 | + | 0.416132i | \(0.863386\pi\) | |||||||
\(620\) | −2548.74 | −0.165097 | ||||||||
\(621\) | −1441.19 | + | 3578.62i | −0.0931286 | + | 0.231248i | ||||
\(622\) | −21737.4 | −1.40127 | ||||||||
\(623\) | −669.551 | + | 3797.22i | −0.0430578 | + | 0.244193i | ||||
\(624\) | −160.081 | + | 14214.4i | −0.0102698 | + | 0.911909i | ||||
\(625\) | −2381.77 | − | 866.893i | −0.152433 | − | 0.0554811i | ||||
\(626\) | −6369.52 | + | 5344.66i | −0.406673 | + | 0.341239i | ||||
\(627\) | 11029.8 | − | 12848.1i | 0.702532 | − | 0.818350i | ||||
\(628\) | 5919.45 | − | 2154.50i | 0.376133 | − | 0.136901i | ||||
\(629\) | −12851.8 | + | 22260.0i | −0.814684 | + | 1.41107i | ||||
\(630\) | −1005.53 | + | 340.538i | −0.0635891 | + | 0.0215355i | ||||
\(631\) | 7837.35 | + | 13574.7i | 0.494453 | + | 0.856418i | 0.999980 | − | 0.00639327i | \(-0.00203505\pi\) |
−0.505527 | + | 0.862811i | \(0.668702\pi\) | |||||||
\(632\) | 6919.06 | + | 5805.78i | 0.435483 | + | 0.365414i | ||||
\(633\) | 6541.61 | − | 17362.0i | 0.410752 | − | 1.09017i | ||||
\(634\) | 217.125 | + | 1231.38i | 0.0136012 | + | 0.0771360i | ||||
\(635\) | 1037.57 | + | 5884.35i | 0.0648420 | + | 0.367737i | ||||
\(636\) | 5900.94 | − | 972.109i | 0.367905 | − | 0.0606079i | ||||
\(637\) | 19081.9 | + | 16011.6i | 1.18690 | + | 0.995925i | ||||
\(638\) | −7991.58 | − | 13841.8i | −0.495909 | − | 0.858939i | ||||
\(639\) | −22850.7 | − | 514.749i | −1.41465 | − | 0.0318672i | ||||
\(640\) | −1255.03 | + | 2173.77i | −0.0775146 | + | 0.134259i | ||||
\(641\) | −11192.7 | + | 4073.82i | −0.689682 | + | 0.251024i | −0.662999 | − | 0.748620i | \(-0.730717\pi\) |
−0.0266830 | + | 0.999644i | \(0.508494\pi\) | |||||||
\(642\) | 764.896 | + | 2177.52i | 0.0470218 | + | 0.133863i | ||||
\(643\) | −1791.00 | + | 1502.83i | −0.109845 | + | 0.0921707i | −0.696056 | − | 0.717988i | \(-0.745063\pi\) |
0.586211 | + | 0.810158i | \(0.300619\pi\) | |||||||
\(644\) | −179.322 | − | 65.2679i | −0.0109725 | − | 0.00399366i | ||||
\(645\) | 5550.14 | − | 3121.57i | 0.338816 | − | 0.190561i | ||||
\(646\) | 1943.01 | − | 11019.3i | 0.118338 | − | 0.671130i | ||||
\(647\) | 27544.4 | 1.67370 | 0.836850 | − | 0.547433i | \(-0.184395\pi\) | ||||
0.836850 | + | 0.547433i | \(0.184395\pi\) | |||||||
\(648\) | 17937.4 | + | 808.548i | 1.08742 | + | 0.0490166i | ||||
\(649\) | 13882.7 | 0.839669 | ||||||||
\(650\) | −2584.19 | + | 14655.7i | −0.155939 | + | 0.884373i | ||||
\(651\) | 1947.02 | − | 1095.06i | 0.117219 | − | 0.0659277i | ||||
\(652\) | 6056.31 | + | 2204.32i | 0.363778 | + | 0.132405i | ||||
\(653\) | 14617.2 | − | 12265.3i | 0.875983 | − | 0.735037i | −0.0893659 | − | 0.995999i | \(-0.528484\pi\) |
0.965349 | + | 0.260962i | \(0.0840396\pi\) | |||||||
\(654\) | −2028.35 | − | 5774.36i | −0.121277 | − | 0.345253i | ||||
\(655\) | 8633.85 | − | 3142.47i | 0.515042 | − | 0.187460i | ||||
\(656\) | 1565.52 | − | 2711.55i | 0.0931755 | − | 0.161385i | ||||
\(657\) | −549.728 | − | 1003.70i | −0.0326437 | − | 0.0596015i | ||||
\(658\) | 1349.60 | + | 2337.58i | 0.0799590 | + | 0.138493i | ||||
\(659\) | −4300.20 | − | 3608.30i | −0.254191 | − | 0.213292i | 0.506783 | − | 0.862073i | \(-0.330834\pi\) |
−0.760975 | + | 0.648782i | \(0.775279\pi\) | |||||||
\(660\) | 3247.63 | − | 535.008i | 0.191536 | − | 0.0315533i | ||||
\(661\) | −3251.84 | − | 18442.1i | −0.191349 | − | 1.08519i | −0.917523 | − | 0.397683i | \(-0.869814\pi\) |
0.726174 | − | 0.687511i | \(-0.241297\pi\) | |||||||
\(662\) | 3077.68 | + | 17454.4i | 0.180691 | + | 1.02475i | ||||
\(663\) | 7916.36 | − | 21010.8i | 0.463719 | − | 1.23075i | ||||
\(664\) | −1092.19 | − | 916.452i | −0.0638329 | − | 0.0535621i | ||||
\(665\) | −695.376 | − | 1204.43i | −0.0405497 | − | 0.0702341i | ||||
\(666\) | −5438.42 | + | 27240.2i | −0.316418 | + | 1.58489i | ||||
\(667\) | −2385.21 | + | 4131.31i | −0.138464 | + | 0.239827i | ||||
\(668\) | −7518.47 | + | 2736.50i | −0.435477 | + | 0.158501i | ||||
\(669\) | −9578.18 | + | 11157.2i | −0.553533 | + | 0.644788i | ||||
\(670\) | −6727.46 | + | 5645.01i | −0.387917 | + | 0.325501i | ||||
\(671\) | 13700.2 | + | 4986.46i | 0.788211 | + | 0.286885i | ||||
\(672\) | −17.5735 | + | 1560.44i | −0.00100880 | + | 0.0895765i | ||||
\(673\) | 1039.78 | − | 5896.87i | 0.0595550 | − | 0.337753i | −0.940443 | − | 0.339952i | \(-0.889589\pi\) |
0.999998 | + | 0.00219950i | \(0.000700122\pi\) | |||||||
\(674\) | −17836.9 | −1.01937 | ||||||||
\(675\) | 11810.9 | + | 2496.63i | 0.673485 | + | 0.142364i | ||||
\(676\) | −8496.23 | −0.483400 | ||||||||
\(677\) | −3572.70 | + | 20261.8i | −0.202821 | + | 1.15026i | 0.698010 | + | 0.716088i | \(0.254069\pi\) |
−0.900832 | + | 0.434169i | \(0.857042\pi\) | |||||||
\(678\) | 20475.9 | + | 12131.2i | 1.15984 | + | 0.687164i | ||||
\(679\) | 2904.34 | + | 1057.09i | 0.164151 | + | 0.0597460i | ||||
\(680\) | 6857.47 | − | 5754.10i | 0.386724 | − | 0.324500i | ||||
\(681\) | −15950.0 | − | 2998.00i | −0.897513 | − | 0.168698i | ||||
\(682\) | 13770.2 | − | 5011.93i | 0.773148 | − | 0.281403i | ||||
\(683\) | −5457.83 | + | 9453.24i | −0.305766 | + | 0.529602i | −0.977432 | − | 0.211252i | \(-0.932246\pi\) |
0.671666 | + | 0.740854i | \(0.265579\pi\) | |||||||
\(684\) | 865.395 | + | 5649.09i | 0.0483760 | + | 0.315787i | ||||
\(685\) | −1888.07 | − | 3270.24i | −0.105313 | − | 0.182408i | ||||
\(686\) | −3275.36 | − | 2748.35i | −0.182294 | − | 0.152963i | ||||
\(687\) | −6941.73 | − | 8464.62i | −0.385507 | − | 0.470080i | ||||
\(688\) | 1257.03 | + | 7129.00i | 0.0696570 | + | 0.395044i | ||||
\(689\) | −5776.15 | − | 32758.2i | −0.319381 | − | 1.81130i | ||||
\(690\) | 1318.07 | + | 1607.23i | 0.0727218 | + | 0.0886756i | ||||
\(691\) | 648.624 | + | 544.261i | 0.0357089 | + | 0.0299633i | 0.660467 | − | 0.750855i | \(-0.270358\pi\) |
−0.624759 | + | 0.780818i | \(0.714803\pi\) | |||||||
\(692\) | 1153.33 | + | 1997.63i | 0.0633570 | + | 0.109737i | ||||
\(693\) | −2251.04 | + | 1804.04i | −0.123391 | + | 0.0988887i | ||||
\(694\) | 11476.9 | − | 19878.5i | 0.627747 | − | 1.08729i | ||||
\(695\) | 5596.98 | − | 2037.13i | 0.305476 | − | 0.111184i | ||||
\(696\) | 21820.5 | + | 4101.42i | 1.18837 | + | 0.223368i | ||||
\(697\) | −3788.38 | + | 3178.82i | −0.205875 | + | 0.172750i | ||||
\(698\) | 6526.74 | + | 2375.54i | 0.353926 | + | 0.128819i | ||||
\(699\) | 27552.4 | + | 16323.8i | 1.49088 | + | 0.883296i | ||||
\(700\) | −103.691 | + | 588.060i | −0.00559878 | + | 0.0317523i | ||||
\(701\) | −17623.2 | −0.949529 | −0.474765 | − | 0.880113i | \(-0.657467\pi\) | ||||
−0.474765 | + | 0.880113i | \(0.657467\pi\) | |||||||
\(702\) | 819.599 | − | 24250.6i | 0.0440652 | − | 1.30382i | ||||
\(703\) | −36389.5 | −1.95229 | ||||||||
\(704\) | −3802.18 | + | 21563.2i | −0.203551 | + | 1.15440i | ||||
\(705\) | −156.476 | + | 13894.3i | −0.00835919 | + | 0.742254i | ||||
\(706\) | −27145.6 | − | 9880.18i | −1.44708 | − | 0.526693i | ||||
\(707\) | 933.891 | − | 783.628i | 0.0496784 | − | 0.0416851i | ||||
\(708\) | −3051.99 | + | 3555.13i | −0.162007 | + | 0.188715i | ||||
\(709\) | −2260.60 | + | 822.791i | −0.119744 | + | 0.0435833i | −0.401197 | − | 0.915992i | \(-0.631406\pi\) |
0.281453 | + | 0.959575i | \(0.409184\pi\) | |||||||
\(710\) | −6157.33 | + | 10664.8i | −0.325465 | + | 0.563722i | ||||
\(711\) | −7439.45 | − | 6533.52i | −0.392407 | − | 0.344622i | ||||
\(712\) | −17568.1 | − | 30428.9i | −0.924709 | − | 1.60164i | ||||
\(713\) | −3350.44 | − | 2811.35i | −0.175982 | − | 0.147666i | ||||
\(714\) | −672.097 | + | 1783.81i | −0.0352277 | + | 0.0934977i | ||||
\(715\) | −3178.96 | − | 18028.8i | −0.166274 | − | 0.942989i | ||||
\(716\) | 808.954 | + | 4587.80i | 0.0422235 | + | 0.239461i | ||||
\(717\) | −2948.80 | + | 485.779i | −0.153591 | + | 0.0253023i | ||||
\(718\) | 19671.6 | + | 16506.4i | 1.02248 | + | 0.857959i | ||||
\(719\) | 2183.22 | + | 3781.44i | 0.113241 | + | 0.196139i | 0.917075 | − | 0.398714i | \(-0.130543\pi\) |
−0.803834 | + | 0.594853i | \(0.797210\pi\) | |||||||
\(720\) | 3226.81 | − | 5309.16i | 0.167022 | − | 0.274806i | ||||
\(721\) | −21.5788 | + | 37.3756i | −0.00111461 | + | 0.00193057i | ||||
\(722\) | −136.901 | + | 49.8279i | −0.00705668 | + | 0.00256842i | ||||
\(723\) | 8737.82 | + | 24875.0i | 0.449465 | + | 1.27955i | ||||
\(724\) | −49.4962 | + | 41.5322i | −0.00254076 | + | 0.00213195i | ||||
\(725\) | 14027.0 | + | 5105.41i | 0.718552 | + | 0.261531i | ||||
\(726\) | −2443.97 | + | 1374.56i | −0.124937 | + | 0.0702683i | ||||
\(727\) | −390.362 | + | 2213.85i | −0.0199143 | + | 0.112940i | −0.993145 | − | 0.116893i | \(-0.962707\pi\) |
0.973230 | + | 0.229832i | \(0.0738178\pi\) | |||||||
\(728\) | 4940.00 | 0.251495 | ||||||||
\(729\) | −19638.1 | − | 1328.94i | −0.997718 | − | 0.0675171i | ||||
\(730\) | −616.575 | −0.0312609 | ||||||||
\(731\) | 1985.45 | − | 11260.0i | 0.100458 | − | 0.569723i | ||||
\(732\) | −4288.81 | + | 2412.16i | −0.216556 | + | 0.121798i | ||||
\(733\) | 11697.6 | + | 4257.58i | 0.589442 | + | 0.214539i | 0.619484 | − | 0.785009i | \(-0.287342\pi\) |
−0.0300420 | + | 0.999549i | \(0.509564\pi\) | |||||||
\(734\) | −7439.99 | + | 6242.90i | −0.374135 | + | 0.313937i | ||||
\(735\) | −3608.08 | − | 10271.6i | −0.181070 | − | 0.515474i | ||||
\(736\) | 2871.15 | − | 1045.01i | 0.143794 | − | 0.0523366i | ||||
\(737\) | −11931.7 | + | 20666.4i | −0.596352 | + | 1.03291i | ||||
\(738\) | −2775.78 | + | 4567.06i | −0.138452 | + | 0.227799i | ||||
\(739\) | −18843.7 | − | 32638.3i | −0.937993 | − | 1.62465i | −0.769207 | − | 0.639000i | \(-0.779348\pi\) |
−0.168787 | − | 0.985653i | \(-0.553985\pi\) | |||||||
\(740\) | −5418.44 | − | 4546.61i | −0.269170 | − | 0.225860i | ||||
\(741\) | 31364.2 | − | 5166.87i | 1.55491 | − | 0.256154i | ||||
\(742\) | 490.394 | + | 2781.16i | 0.0242627 | + | 0.137601i | ||||
\(743\) | −1559.46 | − | 8844.15i | −0.0770001 | − | 0.436689i | −0.998798 | − | 0.0490183i | \(-0.984391\pi\) |
0.921798 | − | 0.387671i | \(-0.126720\pi\) | |||||||
\(744\) | −7177.15 | + | 19048.8i | −0.353666 | + | 0.938661i | ||||
\(745\) | −4361.32 | − | 3659.58i | −0.214478 | − | 0.179969i | ||||
\(746\) | −13526.8 | − | 23429.1i | −0.663877 | − | 1.14987i | ||||
\(747\) | 1174.33 | + | 1031.33i | 0.0575187 | + | 0.0505145i | ||||
\(748\) | 2954.98 | − | 5118.17i | 0.144445 | − | 0.250186i | ||||
\(749\) | 484.019 | − | 176.169i | 0.0236124 | − | 0.00859421i | ||||
\(750\) | 10391.2 | − | 12104.3i | 0.505911 | − | 0.589314i | ||||
\(751\) | −14919.1 | + | 12518.6i | −0.724908 | + | 0.608270i | −0.928738 | − | 0.370736i | \(-0.879105\pi\) |
0.203830 | + | 0.979006i | \(0.434661\pi\) | |||||||
\(752\) | −14843.7 | − | 5402.65i | −0.719804 | − | 0.261987i | ||||
\(753\) | 106.388 | − | 9446.70i | 0.00514872 | − | 0.457180i | ||||
\(754\) | 5210.07 | − | 29547.8i | 0.251644 | − | 1.42714i | ||||
\(755\) | 2519.71 | 0.121459 | ||||||||
\(756\) | 32.8865 | − | 973.056i | 0.00158210 | − | 0.0468118i | ||||
\(757\) | 4304.01 | 0.206647 | 0.103324 | − | 0.994648i | \(-0.467052\pi\) | ||||
0.103324 | + | 0.994648i | \(0.467052\pi\) | |||||||
\(758\) | 3012.59 | − | 17085.3i | 0.144357 | − | 0.818687i | ||||
\(759\) | 4859.29 | + | 2878.96i | 0.232386 | + | 0.137681i | ||||
\(760\) | 11909.1 | + | 4334.54i | 0.568404 | + | 0.206882i | ||||
\(761\) | 26645.0 | − | 22357.8i | 1.26922 | − | 1.06501i | 0.274590 | − | 0.961562i | \(-0.411458\pi\) |
0.994635 | − | 0.103445i | \(-0.0329864\pi\) | |||||||
\(762\) | 11395.0 | + | 2141.82i | 0.541727 | + | 0.101824i | ||||
\(763\) | −1283.52 | + | 467.164i | −0.0609000 | + | 0.0221658i | ||||
\(764\) | 2242.32 | − | 3883.81i | 0.106184 | − | 0.183915i | ||||
\(765\) | −7657.34 | + | 6136.78i | −0.361898 | + | 0.290034i | ||||
\(766\) | 9083.86 | + | 15733.7i | 0.428477 | + | 0.742144i | ||||
\(767\) | 19963.6 | + | 16751.5i | 0.939825 | + | 0.788606i | ||||
\(768\) | −11512.7 | − | 14038.4i | −0.540925 | − | 0.659593i | ||||
\(769\) | −3797.53 | − | 21536.9i | −0.178079 | − | 1.00993i | −0.934530 | − | 0.355884i | \(-0.884180\pi\) |
0.756451 | − | 0.654050i | \(-0.226931\pi\) | |||||||
\(770\) | 269.893 | + | 1530.64i | 0.0126315 | + | 0.0716368i | ||||
\(771\) | −6191.44 | − | 7549.73i | −0.289208 | − | 0.352655i | ||||
\(772\) | −4955.30 | − | 4157.99i | −0.231017 | − | 0.193846i | ||||
\(773\) | 3355.81 | + | 5812.44i | 0.156145 | + | 0.270451i | 0.933475 | − | 0.358641i | \(-0.116760\pi\) |
−0.777330 | + | 0.629093i | \(0.783427\pi\) | |||||||
\(774\) | −1871.07 | − | 12213.9i | −0.0868917 | − | 0.567208i | ||||
\(775\) | −6842.89 | + | 11852.2i | −0.317166 | + | 0.549348i | ||||
\(776\) | −26466.0 | + | 9632.85i | −1.22432 | + | 0.445617i | ||||
\(777\) | 6092.66 | + | 1145.19i | 0.281304 | + | 0.0528744i | ||||
\(778\) | −6036.24 | + | 5065.00i | −0.278161 | + | 0.233405i | ||||
\(779\) | −6579.09 | − | 2394.59i | −0.302594 | − | 0.110135i | ||||
\(780\) | 5315.72 | + | 3149.38i | 0.244017 | + | 0.144572i | ||||
\(781\) | −5810.71 | + | 32954.1i | −0.266227 | + | 1.50985i | ||||
\(782\) | 3732.24 | 0.170671 | ||||||||
\(783\) | −23812.4 | − | 5033.55i | −1.08683 | − | 0.229737i | ||||
\(784\) | 12376.4 | 0.563793 | ||||||||
\(785\) | −2659.09 | + | 15080.4i | −0.120901 | + | 0.685661i | ||||
\(786\) | 200.774 | − | 17827.7i | 0.00911116 | − | 0.809026i | ||||
\(787\) | 5480.97 | + | 1994.91i | 0.248253 | + | 0.0903568i | 0.463150 | − | 0.886280i | \(-0.346719\pi\) |
−0.214896 | + | 0.976637i | \(0.568941\pi\) | |||||||
\(788\) | 3573.88 | − | 2998.84i | 0.161566 | − | 0.135570i | ||||
\(789\) | −11574.4 | + | 13482.5i | −0.522255 | + | 0.608352i | ||||
\(790\) | −5012.84 | + | 1824.52i | −0.225758 | + | 0.0821691i | ||||
\(791\) | 2655.77 | − | 4599.94i | 0.119379 | − | 0.206770i | ||||
\(792\) | 5146.64 | − | 25778.8i | 0.230907 | − | 1.15658i | ||||
\(793\) | 13684.3 | + | 23701.8i | 0.612790 | + | 1.06138i | ||||
\(794\) | 3522.06 | + | 2955.36i | 0.157422 | + | 0.132093i | ||||
\(795\) | −5125.79 | + | 13604.3i | −0.228671 | + | 0.606913i | ||||
\(796\) | −117.457 | − | 666.132i | −0.00523009 | − | 0.0296613i | ||||
\(797\) | 3430.37 | + | 19454.6i | 0.152459 | + | 0.864638i | 0.961072 | + | 0.276297i | \(0.0891074\pi\) |
−0.808613 | + | 0.588341i | \(0.799781\pi\) | |||||||
\(798\) | −2662.81 | + | 438.666i | −0.118123 | + | 0.0194594i | ||||
\(799\) | 19112.6 | + | 16037.4i | 0.846253 | + | 0.710091i | ||||
\(800\) | −4780.39 | − | 8279.87i | −0.211265 | − | 0.365922i | ||||
\(801\) | 18502.2 | + | 33781.5i | 0.816157 | + | 1.49015i | ||||
\(802\) | −7525.10 | + | 13033.9i | −0.331322 | + | 0.573867i | ||||
\(803\) | −1574.37 | + | 573.025i | −0.0691886 | + | 0.0251826i | ||||
\(804\) | −2669.23 | − | 7598.83i | −0.117085 | − | 0.333321i | ||||
\(805\) | 355.361 | − | 298.183i | 0.0155588 | − | 0.0130554i | ||||
\(806\) | 25849.4 | + | 9408.40i | 1.12966 | + | 0.411162i | ||||
\(807\) | −250.198 | + | 140.719i | −0.0109137 | + | 0.00613822i | ||||
\(808\) | −1929.10 | + | 10940.5i | −0.0839918 | + | 0.476341i | ||||
\(809\) | −5722.03 | −0.248672 | −0.124336 | − | 0.992240i | \(-0.539680\pi\) | ||||
−0.124336 | + | 0.992240i | \(0.539680\pi\) | |||||||
\(810\) | −5710.61 | + | 8935.98i | −0.247716 | + | 0.387628i | ||||
\(811\) | 43726.0 | 1.89325 | 0.946626 | − | 0.322335i | \(-0.104468\pi\) | ||||
0.946626 | + | 0.322335i | \(0.104468\pi\) | |||||||
\(812\) | 209.055 | − | 1185.61i | 0.00903495 | − | 0.0512397i | ||||
\(813\) | −18917.2 | + | 10639.6i | −0.816059 | + | 0.458977i | ||||
\(814\) | 38214.9 | + | 13909.1i | 1.64549 | + | 0.598911i | ||||
\(815\) | −12001.7 | + | 10070.6i | −0.515831 | + | 0.432833i | ||||
\(816\) | −3697.15 | − | 10525.1i | −0.158610 | − | 0.451536i | ||||
\(817\) | 15210.9 | − | 5536.32i | 0.651362 | − | 0.237076i | ||||
\(818\) | 3632.57 | − | 6291.80i | 0.155269 | − | 0.268934i | ||||
\(819\) | −5413.88 | − | 121.956i | −0.230984 | − | 0.00520330i | ||||
\(820\) | −680.447 | − | 1178.57i | −0.0289783 | − | 0.0501919i | ||||
\(821\) | −4899.18 | − | 4110.90i | −0.208261 | − | 0.174752i | 0.532691 | − | 0.846310i | \(-0.321181\pi\) |
−0.740952 | + | 0.671558i | \(0.765625\pi\) | |||||||
\(822\) | −7230.02 | + | 1191.06i | −0.306783 | + | 0.0505389i | ||||
\(823\) | 1941.36 | + | 11010.0i | 0.0822255 | + | 0.466324i | 0.997921 | + | 0.0644510i | \(0.0205296\pi\) |
−0.915695 | + | 0.401873i | \(0.868359\pi\) | |||||||
\(824\) | −68.2919 | − | 387.303i | −0.00288721 | − | 0.0163742i | ||||
\(825\) | 6231.37 | − | 16538.6i | 0.262968 | − | 0.697941i | ||||
\(826\) | −1694.91 | − | 1422.20i | −0.0713964 | − | 0.0599087i | ||||
\(827\) | 17539.0 | + | 30378.5i | 0.737474 | + | 1.27734i | 0.953629 | + | 0.300984i | \(0.0973151\pi\) |
−0.216155 | + | 0.976359i | \(0.569352\pi\) | |||||||
\(828\) | −1805.52 | + | 611.471i | −0.0757805 | + | 0.0256644i | ||||
\(829\) | −9332.94 | + | 16165.1i | −0.391009 | + | 0.677247i | −0.992583 | − | 0.121570i | \(-0.961207\pi\) |
0.601574 | + | 0.798817i | \(0.294541\pi\) | |||||||
\(830\) | 791.285 | − | 288.004i | 0.0330915 | − | 0.0120443i | ||||
\(831\) | −4994.25 | + | 5817.59i | −0.208482 | + | 0.242852i | ||||
\(832\) | −31486.7 | + | 26420.5i | −1.31202 | + | 1.10092i | ||||
\(833\) | −18369.2 | − | 6685.85i | −0.764053 | − | 0.278093i | ||||
\(834\) | 130.154 | − | 11557.0i | 0.00540391 | − | 0.479840i | ||||
\(835\) | 3377.39 | − | 19154.1i | 0.139975 | − | 0.793840i | ||||
\(836\) | 8366.91 | 0.346143 | ||||||||
\(837\) | 8335.90 | − | 20698.9i | 0.344242 | − | 0.854791i | ||||
\(838\) | −25617.6 | −1.05602 | ||||||||
\(839\) | 7858.90 | − | 44570.0i | 0.323384 | − | 1.83400i | −0.197411 | − | 0.980321i | \(-0.563253\pi\) |
0.520795 | − | 0.853682i | \(-0.325635\pi\) | |||||||
\(840\) | −1857.51 | − | 1100.51i | −0.0762979 | − | 0.0452038i | ||||
\(841\) | −5362.15 | − | 1951.66i | −0.219859 | − | 0.0800222i | ||||
\(842\) | −2270.05 | + | 1904.80i | −0.0929110 | + | 0.0779616i | ||||
\(843\) | 6160.94 | + | 1158.02i | 0.251713 | + | 0.0473125i | ||||
\(844\) | 8614.70 | − | 3135.49i | 0.351339 | − | 0.127877i | ||||
\(845\) | 10326.7 | − | 17886.5i | 0.420415 | − | 0.728181i | ||||
\(846\) | 25122.9 | + | 9790.18i | 1.02097 | + | 0.397865i | ||||
\(847\) | 312.893 | + | 541.947i | 0.0126932 | + | 0.0219853i | ||||
\(848\) | −12660.4 | − | 10623.3i | −0.512689 | − | 0.430197i | ||||
\(849\) | −4844.72 | − | 5907.56i | −0.195842 | − | 0.238807i | ||||
\(850\) | −2027.97 | − | 11501.2i | −0.0818339 | − | 0.464103i | ||||
\(851\) | −2107.72 | − | 11953.4i | −0.0849019 | − | 0.481503i | ||||
\(852\) | −7161.57 | − | 8732.69i | −0.287971 | − | 0.351147i | ||||
\(853\) | −18695.5 | − | 15687.4i | −0.750436 | − | 0.629691i | 0.185182 | − | 0.982704i | \(-0.440713\pi\) |
−0.935618 | + | 0.353014i | \(0.885157\pi\) | |||||||
\(854\) | −1161.79 | − | 2012.28i | −0.0465523 | − | 0.0806310i | ||||
\(855\) | −12944.4 | − | 5044.34i | −0.517767 | − | 0.201769i | ||||
\(856\) | −2346.87 | + | 4064.89i | −0.0937082 | + | 0.162307i | ||||
\(857\) | 45437.0 | − | 16537.7i | 1.81108 | − | 0.659181i | 0.814175 | − | 0.580619i | \(-0.197189\pi\) |
0.996909 | − | 0.0785619i | \(-0.0250328\pi\) | |||||||
\(858\) | −34912.4 | − | 6562.21i | −1.38915 | − | 0.261108i | ||||
\(859\) | 21344.3 | − | 17910.0i | 0.847799 | − | 0.711388i | −0.111505 | − | 0.993764i | \(-0.535567\pi\) |
0.959304 | + | 0.282376i | \(0.0911226\pi\) | |||||||
\(860\) | 2956.65 | + | 1076.13i | 0.117233 | + | 0.0426695i | ||||
\(861\) | 1026.17 | + | 607.971i | 0.0406177 | + | 0.0240646i | ||||
\(862\) | −3961.91 | + | 22469.1i | −0.156546 | + | 0.887819i | ||||
\(863\) | −3754.16 | −0.148080 | −0.0740401 | − | 0.997255i | \(-0.523589\pi\) | ||||
−0.0740401 | + | 0.997255i | \(0.523589\pi\) | |||||||
\(864\) | 9611.11 | + | 12273.2i | 0.378445 | + | 0.483269i | ||||
\(865\) | −5607.26 | −0.220408 | ||||||||
\(866\) | 224.469 | − | 1273.03i | 0.00880804 | − | 0.0499529i | ||||
\(867\) | 89.0620 | − | 7908.27i | 0.00348870 | − | 0.309779i | ||||
\(868\) | 1037.21 | + | 377.513i | 0.0405589 | + | 0.0147622i | ||||
\(869\) | −11104.2 | + | 9317.55i | −0.433469 | + | 0.363724i | ||||
\(870\) | −8541.57 | + | 9949.72i | −0.332858 | + | 0.387732i | ||||
\(871\) | −42095.0 | + | 15321.3i | −1.63758 | + | 0.596031i | ||||
\(872\) | 6223.43 | − | 10779.3i | 0.241688 | − | 0.418616i | ||||
\(873\) | 29242.6 | − | 9903.52i | 1.13369 | − | 0.383944i | ||||
\(874\) | 2641.93 | + | 4575.95i | 0.102248 | + | 0.177098i | ||||
\(875\) | −2727.33 | − | 2288.50i | −0.105372 | − | 0.0884178i | ||||
\(876\) | 199.369 | − | 529.145i | 0.00768957 | − | 0.0204088i | ||||
\(877\) | −1377.74 | − | 7813.57i | −0.0530480 | − | 0.300850i | 0.946728 | − | 0.322036i | \(-0.104367\pi\) |
−0.999776 | + | 0.0211854i | \(0.993256\pi\) | |||||||
\(878\) | 227.200 | + | 1288.52i | 0.00873308 | + | 0.0495278i | ||||
\(879\) | 15309.8 | − | 2522.10i | 0.587470 | − | 0.0967786i | ||||
\(880\) | −6967.77 | − | 5846.65i | −0.266913 | − | 0.223967i | ||||
\(881\) | −133.462 | − | 231.163i | −0.00510381 | − | 0.00884006i | 0.863462 | − | 0.504414i | \(-0.168291\pi\) |
−0.868566 | + | 0.495573i | \(0.834958\pi\) | |||||||
\(882\) | −21120.2 | − | 475.767i | −0.806297 | − | 0.0181631i | ||||
\(883\) | 11596.0 | − | 20084.9i | 0.441946 | − | 0.765472i | −0.555888 | − | 0.831257i | \(-0.687622\pi\) |
0.997834 | + | 0.0657848i | \(0.0209551\pi\) | |||||||
\(884\) | 10425.1 | − | 3794.43i | 0.396645 | − | 0.144367i | ||||
\(885\) | −3774.80 | − | 10746.2i | −0.143377 | − | 0.408169i | ||||
\(886\) | 31393.6 | − | 26342.4i | 1.19040 | − | 0.998860i | ||||
\(887\) | −21544.6 | − | 7841.59i | −0.815555 | − | 0.296838i | −0.0996383 | − | 0.995024i | \(-0.531769\pi\) |
−0.715916 | + | 0.698186i | \(0.753991\pi\) | |||||||
\(888\) | −49238.6 | + | 27693.3i | −1.86074 | + | 1.04654i | ||||
\(889\) | 449.336 | − | 2548.31i | 0.0169519 | − | 0.0961390i | ||||
\(890\) | 20752.0 | 0.781583 | ||||||||
\(891\) | −6276.76 | + | 28124.6i | −0.236004 | + | 1.05747i | ||||
\(892\) | −7265.75 | −0.272730 | ||||||||
\(893\) | −6133.64 | + | 34785.6i | −0.229848 | + | 1.30353i | ||||
\(894\) | −9629.12 | + | 5415.72i | −0.360230 | + | 0.202605i | ||||
\(895\) | −10641.6 | − | 3873.22i | −0.397440 | − | 0.144656i | ||||
\(896\) | 832.705 | − | 698.723i | 0.0310477 | − | 0.0260521i | ||||
\(897\) | 3513.89 | + | 10003.4i | 0.130797 | + | 0.372357i | ||||
\(898\) | 12688.8 | − | 4618.33i | 0.471525 | − | 0.171621i | ||||
\(899\) | 13796.2 | − | 23895.7i | 0.511823 | − | 0.886503i | ||||
\(900\) | 2865.36 | + | 5231.61i | 0.106124 | + | 0.193763i | ||||
\(901\) | 13051.9 | + | 22606.6i | 0.482601 | + | 0.835889i | ||||
\(902\) | 5993.84 | + | 5029.43i | 0.221256 | + | 0.185656i | ||||
\(903\) | −2720.98 | + | 448.248i | −0.100275 | + | 0.0165191i | ||||
\(904\) | 8404.90 | + | 47666.6i | 0.309229 | + | 1.75372i | ||||
\(905\) | −27.2744 | − | 154.681i | −0.00100180 | − | 0.00568151i | ||||
\(906\) | 1723.91 | − | 4575.42i | 0.0632153 | − | 0.167779i | ||||
\(907\) | −40735.9 | − | 34181.5i | −1.49130 | − | 1.25135i | −0.892978 | − | 0.450100i | \(-0.851388\pi\) |
−0.598326 | − | 0.801253i | \(-0.704167\pi\) | |||||||
\(908\) | −4009.57 | − | 6944.79i | −0.146544 | − | 0.253822i | ||||
\(909\) | 2384.24 | − | 11942.3i | 0.0869970 | − | 0.435755i | ||||
\(910\) | −1458.82 | + | 2526.75i | −0.0531422 | + | 0.0920450i | ||||
\(911\) | −21425.6 | + | 7798.27i | −0.779210 | + | 0.283609i | −0.700843 | − | 0.713315i | \(-0.747193\pi\) |
−0.0783671 | + | 0.996925i | \(0.524971\pi\) | |||||||
\(912\) | 10287.4 | − | 11983.3i | 0.373518 | − | 0.435096i | ||||
\(913\) | 1752.82 | − | 1470.79i | 0.0635377 | − | 0.0533144i | ||||
\(914\) | −1638.09 | − | 596.217i | −0.0592815 | − | 0.0215767i | ||||
\(915\) | 134.701 | − | 11960.7i | 0.00486674 | − | 0.432142i | ||||
\(916\) | 939.277 | − | 5326.91i | 0.0338806 | − | 0.192146i | ||||
\(917\) | −3978.99 | −0.143291 | ||||||||
\(918\) | 5904.55 | + | 18103.2i | 0.212287 | + | 0.650864i | ||||
\(919\) | 37480.2 | 1.34533 | 0.672665 | − | 0.739948i | \(-0.265150\pi\) | ||||
0.672665 | + | 0.739948i | \(0.265150\pi\) | |||||||
\(920\) | −734.052 | + | 4163.02i | −0.0263054 | + | 0.149185i | ||||
\(921\) | −23332.1 | − | 13823.4i | −0.834764 | − | 0.494568i | ||||
\(922\) | −25035.8 | − | 9112.27i | −0.894261 | − | 0.325484i | ||||
\(923\) | −48119.8 | + | 40377.3i | −1.71601 | + | 1.43991i | ||||
\(924\) | −1400.86 | − | 263.309i | −0.0498756 | − | 0.00937472i | ||||
\(925\) | −35690.3 | + | 12990.2i | −1.26864 | + | 0.461746i | ||||
\(926\) | 7848.02 | − | 13593.2i | 0.278512 | − | 0.482397i | ||||
\(927\) | 65.2813 | + | 426.141i | 0.00231297 | + | 0.0150985i | ||||
\(928\) | 9637.89 | + | 16693.3i | 0.340926 | + | 0.590501i | ||||
\(929\) | 3364.31 | + | 2822.99i | 0.118815 | + | 0.0996978i | 0.700259 | − | 0.713889i | \(-0.253068\pi\) |
−0.581444 | + | 0.813586i | \(0.697512\pi\) | |||||||
\(930\) | −7623.78 | − | 9296.29i | −0.268810 | − | 0.327782i | ||||
\(931\) | −4805.70 | − | 27254.5i | −0.169173 | − | 0.959430i | ||||
\(932\) | 2747.82 | + | 15583.6i | 0.0965748 | + | 0.547703i | ||||
\(933\) | 30729.9 | + | 37471.5i | 1.07830 | + | 1.31486i | ||||
\(934\) | −2689.48 | − | 2256.74i | −0.0942210 | − | 0.0790608i | ||||
\(935\) | 7183.25 | + | 12441.8i | 0.251249 | + | 0.435176i | ||||
\(936\) | 38506.7 | − | 30860.2i | 1.34469 | − | 1.07767i | ||||
\(937\) | 18588.8 | − | 32196.8i | 0.648101 | − | 1.12254i | −0.335475 | − | 0.942049i | \(-0.608897\pi\) |
0.983576 | − | 0.180495i | \(-0.0577698\pi\) | |||||||
\(938\) | 3573.85 | − | 1300.78i | 0.124404 | − | 0.0452792i | ||||
\(939\) | 18217.8 | + | 3424.25i | 0.633135 | + | 0.119005i | ||||
\(940\) | −5259.51 | + | 4413.26i | −0.182496 | + | 0.153132i | ||||
\(941\) | −8919.73 | − | 3246.51i | −0.309006 | − | 0.112469i | 0.182862 | − | 0.983139i | \(-0.441464\pi\) |
−0.491869 | + | 0.870669i | \(0.663686\pi\) | |||||||
\(942\) | 25564.5 | + | 15146.1i | 0.884223 | + | 0.523870i | ||||
\(943\) | 405.523 | − | 2299.84i | 0.0140039 | − | 0.0794200i | ||||
\(944\) | 12948.3 | 0.446430 | ||||||||
\(945\) | 2008.53 | + | 1251.93i | 0.0691401 | + | 0.0430957i | ||||
\(946\) | −18090.1 | −0.621733 | ||||||||
\(947\) | 7470.95 | − | 42369.9i | 0.256360 | − | 1.45389i | −0.536196 | − | 0.844094i | \(-0.680139\pi\) |
0.792556 | − | 0.609799i | \(-0.208750\pi\) | |||||||
\(948\) | 55.0929 | − | 4891.98i | 0.00188748 | − | 0.167599i | ||||
\(949\) | −2955.42 | − | 1075.68i | −0.101093 | − | 0.0367947i | ||||
\(950\) | 12665.6 | − | 10627.7i | 0.432555 | − | 0.362957i | ||||
\(951\) | 1815.73 | − | 2115.07i | 0.0619128 | − | 0.0721197i | ||||
\(952\) | −3642.92 | + | 1325.91i | −0.124021 | + | 0.0451399i | ||||
\(953\) | −8469.02 | + | 14668.8i | −0.287868 | + | 0.498603i | −0.973301 | − | 0.229534i | \(-0.926280\pi\) |
0.685432 | + | 0.728136i | \(0.259613\pi\) | |||||||
\(954\) | 21196.5 | + | 18615.3i | 0.719352 | + | 0.631754i | ||||
\(955\) | 5450.86 | + | 9441.16i | 0.184697 | + | 0.319904i | ||||
\(956\) | −1131.20 | − | 949.193i | −0.0382696 | − | 0.0321120i | ||||
\(957\) | −12563.3 | + | 33344.1i | −0.424360 | + | 1.12629i | ||||
\(958\) | −3184.58 | − | 18060.7i | −0.107400 | − | 0.609095i | ||||
\(959\) | 283.970 | + | 1610.48i | 0.00956192 | + | 0.0542283i | ||||
\(960\) | 17725.3 | − | 2920.03i | 0.595917 | − | 0.0981702i | ||||
\(961\) | −3442.13 | − | 2888.29i | −0.115543 | − | 0.0969517i | ||||
\(962\) | 38170.5 | + | 66113.3i | 1.27928 | + | 2.21578i | ||||
\(963\) | 2672.34 | − | 4396.88i | 0.0894238 | − | 0.147131i | ||||
\(964\) | −6513.68 | + | 11282.0i | −0.217626 | + | 0.376940i | ||||
\(965\) | 14776.4 | − | 5378.18i | 0.492922 | − | 0.179409i | ||||
\(966\) | −298.328 | − | 849.289i | −0.00993640 | − | 0.0282872i | ||||
\(967\) | 23871.0 | − | 20030.1i | 0.793836 | − | 0.666107i | −0.152856 | − | 0.988248i | \(-0.548847\pi\) |
0.946692 | + | 0.322141i | \(0.104403\pi\) | |||||||
\(968\) | −5358.62 | − | 1950.38i | −0.177926 | − | 0.0647599i | ||||
\(969\) | −21742.2 | + | 12228.5i | −0.720805 | + | 0.405403i | ||||
\(970\) | 2888.54 | − | 16381.7i | 0.0956138 | − | 0.542253i | ||||
\(971\) | −52849.2 | −1.74667 | −0.873333 | − | 0.487124i | \(-0.838046\pi\) | ||||
−0.873333 | + | 0.487124i | \(0.838046\pi\) | |||||||
\(972\) | −5822.34 | − | 7790.30i | −0.192131 | − | 0.257072i | ||||
\(973\) | −2579.42 | −0.0849870 | ||||||||
\(974\) | 4869.31 | − | 27615.2i | 0.160188 | − | 0.908470i | ||||
\(975\) | 28917.0 | − | 16263.8i | 0.949832 | − | 0.534215i | ||||
\(976\) | 12778.0 | + | 4650.81i | 0.419071 | + | 0.152530i | ||||
\(977\) | −22129.5 | + | 18568.9i | −0.724653 | + | 0.608056i | −0.928668 | − | 0.370912i | \(-0.879045\pi\) |
0.204015 | + | 0.978968i | \(0.434601\pi\) | |||||||
\(978\) | 10075.6 | + | 28683.3i | 0.329428 | + | 0.937824i | ||||
\(979\) | 52988.6 | − | 19286.3i | 1.72985 | − | 0.629614i | ||||
\(980\) | 2689.68 | − | 4658.66i | 0.0876720 | − | 0.151852i | ||||
\(981\) | −7086.53 | + | 11659.7i | −0.230638 | + | 0.379475i | ||||
\(982\) | −12719.5 | − | 22030.9i | −0.413337 | − | 0.715920i | ||||
\(983\) | −1432.25 | − | 1201.80i | −0.0464716 | − | 0.0389943i | 0.619256 | − | 0.785189i | \(-0.287434\pi\) |
−0.665728 | + | 0.746195i | \(0.731879\pi\) | |||||||
\(984\) | −10724.5 | + | 1766.73i | −0.347444 | + | 0.0572372i | ||||
\(985\) | 1969.35 | + | 11168.8i | 0.0637043 | + | 0.361285i | ||||
\(986\) | 4088.66 | + | 23187.9i | 0.132058 | + | 0.748939i | ||||
\(987\) | 2121.66 | − | 5631.09i | 0.0684227 | − | 0.181600i | ||||
\(988\) | 12031.8 | + | 10095.9i | 0.387431 | + | 0.325093i | ||||
\(989\) | 2699.64 | + | 4675.91i | 0.0867982 | + | 0.150339i | ||||
\(990\) | 11665.7 | + | 10245.1i | 0.374505 | + | 0.328900i | ||||
\(991\) | −19703.8 | + | 34128.0i | −0.631597 | + | 1.09396i | 0.355628 | + | 0.934627i | \(0.384267\pi\) |
−0.987225 | + | 0.159331i | \(0.949066\pi\) | |||||||
\(992\) | −16606.9 | + | 6044.42i | −0.531522 | + | 0.193458i | ||||
\(993\) | 25737.4 | − | 29980.4i | 0.822509 | − | 0.958106i | ||||
\(994\) | 4085.36 | − | 3428.02i | 0.130362 | − | 0.109387i | ||||
\(995\) | 1545.12 | + | 562.377i | 0.0492297 | + | 0.0179182i | ||||
\(996\) | −8.69652 | + | 772.208i | −0.000276666 | + | 0.0245666i | ||||
\(997\) | −971.013 | + | 5506.89i | −0.0308448 | + | 0.174930i | −0.996338 | − | 0.0854971i | \(-0.972752\pi\) |
0.965494 | + | 0.260427i | \(0.0838633\pi\) | |||||||
\(998\) | −36407.9 | −1.15478 | ||||||||
\(999\) | 54645.6 | − | 29134.3i | 1.73064 | − | 0.922690i |
(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 | 27.4.e.a.25.3 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.73.6 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.55.3 | 48 | |||
9.4 | even | 3 | 243.4.e.c.136.3 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.136.6 | 48 | |||
9.7 | even | 3 | 243.4.e.d.55.6 | 48 | |||
27.4 | even | 9 | 243.4.e.c.109.3 | 48 | |||
27.5 | odd | 18 | 243.4.e.a.190.3 | 48 | |||
27.11 | odd | 18 | 729.4.a.c.1.18 | 24 | |||
27.13 | even | 9 | inner | 27.4.e.a.13.3 | ✓ | 48 | |
27.14 | odd | 18 | 81.4.e.a.10.6 | 48 | |||
27.16 | even | 9 | 729.4.a.d.1.7 | 24 | |||
27.22 | even | 9 | 243.4.e.d.190.6 | 48 | |||
27.23 | odd | 18 | 243.4.e.b.109.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.3 | ✓ | 48 | 27.13 | even | 9 | inner | |
27.4.e.a.25.3 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.10.6 | 48 | 27.14 | odd | 18 | |||
81.4.e.a.73.6 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.55.3 | 48 | 9.2 | odd | 6 | |||
243.4.e.a.190.3 | 48 | 27.5 | odd | 18 | |||
243.4.e.b.109.6 | 48 | 27.23 | odd | 18 | |||
243.4.e.b.136.6 | 48 | 9.5 | odd | 6 | |||
243.4.e.c.109.3 | 48 | 27.4 | even | 9 | |||
243.4.e.c.136.3 | 48 | 9.4 | even | 3 | |||
243.4.e.d.55.6 | 48 | 9.7 | even | 3 | |||
243.4.e.d.190.6 | 48 | 27.22 | even | 9 | |||
729.4.a.c.1.18 | 24 | 27.11 | odd | 18 | |||
729.4.a.d.1.7 | 24 | 27.16 | even | 9 |