Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(1624\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.4.f.a.89.10 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{58}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.214445 | + | 3.95521i | −0.0758179 | + | 1.39838i | 0.674975 | + | 0.737841i | \(0.264155\pi\) |
−0.750792 | + | 0.660538i | \(0.770328\pi\) | |||||||
\(3\) | 4.30093 | + | 2.91582i | 0.827715 | + | 0.561149i | ||||
\(4\) | −7.64463 | − | 0.831403i | −0.955578 | − | 0.103925i | ||||
\(5\) | −4.87721 | + | 14.4750i | −0.436231 | + | 1.29469i | 0.473978 | + | 0.880537i | \(0.342818\pi\) |
−0.910209 | + | 0.414150i | \(0.864079\pi\) | |||||||
\(6\) | −12.4550 | + | 16.3858i | −0.847455 | + | 1.11491i | ||||
\(7\) | 8.97536 | + | 13.2377i | 0.484624 | + | 0.714766i | 0.988868 | − | 0.148795i | \(-0.0475393\pi\) |
−0.504244 | + | 0.863561i | \(0.668229\pi\) | |||||||
\(8\) | −0.198845 | + | 1.21290i | −0.00878780 | + | 0.0536032i | ||||
\(9\) | 9.99602 | + | 25.0815i | 0.370223 | + | 0.928943i | ||||
\(10\) | −56.2060 | − | 22.3945i | −1.77739 | − | 0.708176i | ||||
\(11\) | 49.8206 | − | 10.9663i | 1.36559 | − | 0.300589i | 0.529093 | − | 0.848564i | \(-0.322532\pi\) |
0.836495 | + | 0.547975i | \(0.184601\pi\) | |||||||
\(12\) | −30.4548 | − | 25.8661i | −0.732628 | − | 0.622243i | ||||
\(13\) | 52.0156 | − | 44.1824i | 1.10973 | − | 0.942615i | 0.111044 | − | 0.993816i | \(-0.464581\pi\) |
0.998688 | + | 0.0512004i | \(0.0163047\pi\) | |||||||
\(14\) | −54.2825 | + | 32.6607i | −1.03626 | + | 0.623496i | ||||
\(15\) | −63.1831 | + | 48.0351i | −1.08759 | + | 0.826840i | ||||
\(16\) | −64.8340 | − | 14.2710i | −1.01303 | − | 0.222985i | ||||
\(17\) | −66.4626 | − | 45.0628i | −0.948209 | − | 0.642901i | −0.0141040 | − | 0.999901i | \(-0.504490\pi\) |
−0.934105 | + | 0.356999i | \(0.883800\pi\) | |||||||
\(18\) | −101.346 | + | 34.1578i | −1.32708 | + | 0.447282i | ||||
\(19\) | 22.2276 | − | 41.9257i | 0.268387 | − | 0.506232i | −0.712285 | − | 0.701891i | \(-0.752339\pi\) |
0.980672 | + | 0.195658i | \(0.0626843\pi\) | |||||||
\(20\) | 49.3190 | − | 106.601i | 0.551403 | − | 1.19184i | ||||
\(21\) | 0.00379725 | + | 83.1048i | 3.94584e−5 | + | 0.863569i | ||||
\(22\) | 32.6904 | + | 199.403i | 0.316801 | + | 1.93240i | ||||
\(23\) | 80.4565 | − | 76.2125i | 0.729406 | − | 0.690930i | −0.229926 | − | 0.973208i | \(-0.573849\pi\) |
0.959333 | + | 0.282278i | \(0.0910899\pi\) | |||||||
\(24\) | −4.39182 | + | 4.63681i | −0.0373532 | + | 0.0394369i | ||||
\(25\) | −86.2278 | − | 65.5487i | −0.689823 | − | 0.524390i | ||||
\(26\) | 163.596 | + | 215.207i | 1.23400 | + | 1.62329i | ||||
\(27\) | −30.1407 | + | 137.020i | −0.214837 | + | 0.976650i | ||||
\(28\) | −57.6074 | − | 108.659i | −0.388813 | − | 0.733380i | ||||
\(29\) | −265.523 | + | 14.3962i | −1.70022 | + | 0.0921833i | −0.878511 | − | 0.477722i | \(-0.841463\pi\) |
−0.821710 | + | 0.569905i | \(0.806980\pi\) | |||||||
\(30\) | −176.440 | − | 260.204i | −1.07378 | − | 1.58355i | ||||
\(31\) | −43.3830 | + | 23.0002i | −0.251349 | + | 0.133257i | −0.589320 | − | 0.807900i | \(-0.700604\pi\) |
0.337971 | + | 0.941157i | \(0.390259\pi\) | |||||||
\(32\) | 67.7179 | − | 243.898i | 0.374092 | − | 1.34736i | ||||
\(33\) | 246.251 | + | 98.1022i | 1.29899 | + | 0.517497i | ||||
\(34\) | 192.485 | − | 253.210i | 0.970911 | − | 1.27721i | ||||
\(35\) | −235.390 | + | 65.3558i | −1.13681 | + | 0.315633i | ||||
\(36\) | −55.5630 | − | 200.049i | −0.257236 | − | 0.926153i | ||||
\(37\) | 270.667 | − | 44.3736i | 1.20263 | − | 0.197162i | 0.473038 | − | 0.881042i | \(-0.343157\pi\) |
0.729594 | + | 0.683880i | \(0.239709\pi\) | |||||||
\(38\) | 161.059 | + | 96.9057i | 0.687556 | + | 0.413689i | ||||
\(39\) | 352.543 | − | 38.3577i | 1.44749 | − | 0.157491i | ||||
\(40\) | −16.5870 | − | 8.79387i | −0.0655659 | − | 0.0347608i | ||||
\(41\) | 77.4960 | − | 81.8116i | 0.295191 | − | 0.311630i | −0.561482 | − | 0.827489i | \(-0.689769\pi\) |
0.856673 | + | 0.515859i | \(0.172527\pi\) | |||||||
\(42\) | −328.698 | − | 17.8064i | −1.20760 | − | 0.0654188i | ||||
\(43\) | 20.5742 | − | 93.4697i | 0.0729661 | − | 0.331488i | −0.925970 | − | 0.377596i | \(-0.876751\pi\) |
0.998936 | + | 0.0461079i | \(0.0146818\pi\) | |||||||
\(44\) | −389.977 | + | 42.4125i | −1.33616 | + | 0.145317i | ||||
\(45\) | −411.808 | + | 22.3653i | −1.36419 | + | 0.0740894i | ||||
\(46\) | 284.183 | + | 334.566i | 0.910881 | + | 1.07237i | ||||
\(47\) | 246.380 | − | 83.0151i | 0.764643 | − | 0.257638i | 0.0901587 | − | 0.995927i | \(-0.471263\pi\) |
0.674484 | + | 0.738289i | \(0.264366\pi\) | |||||||
\(48\) | −237.235 | − | 250.423i | −0.713373 | − | 0.753030i | ||||
\(49\) | 32.2788 | − | 81.0136i | 0.0941072 | − | 0.236191i | ||||
\(50\) | 277.750 | − | 326.993i | 0.785596 | − | 0.924876i | ||||
\(51\) | −154.456 | − | 387.605i | −0.424083 | − | 1.06423i | ||||
\(52\) | −434.373 | + | 294.512i | −1.15840 | + | 0.785413i | ||||
\(53\) | −42.6787 | + | 17.0047i | −0.110611 | + | 0.0440713i | −0.424787 | − | 0.905293i | \(-0.639651\pi\) |
0.314176 | + | 0.949365i | \(0.398272\pi\) | |||||||
\(54\) | −535.481 | − | 148.596i | −1.34944 | − | 0.374471i | ||||
\(55\) | −84.2471 | + | 774.639i | −0.206543 | + | 1.89913i | ||||
\(56\) | −17.8407 | + | 8.25399i | −0.0425726 | + | 0.0196962i | ||||
\(57\) | 217.847 | − | 115.508i | 0.506220 | − | 0.268411i | ||||
\(58\) | − | 1053.29i | − | 2.38454i | ||||||
\(59\) | 104.414 | + | 440.995i | 0.230400 | + | 0.973096i | ||||
\(60\) | 522.948 | − | 314.680i | 1.12520 | − | 0.677083i | ||||
\(61\) | −488.285 | − | 26.4740i | −1.02489 | − | 0.0555681i | −0.465981 | − | 0.884795i | \(-0.654298\pi\) |
−0.558912 | + | 0.829227i | \(0.688781\pi\) | |||||||
\(62\) | −81.6674 | − | 176.521i | −0.167287 | − | 0.361584i | ||||
\(63\) | −242.302 | + | 357.439i | −0.484558 | + | 0.714811i | ||||
\(64\) | 446.858 | + | 150.564i | 0.872769 | + | 0.294070i | ||||
\(65\) | 385.851 | + | 968.414i | 0.736292 | + | 1.84795i | ||||
\(66\) | −440.822 | + | 952.936i | −0.822144 | + | 1.77725i | ||||
\(67\) | 741.778 | + | 121.608i | 1.35258 | + | 0.221744i | 0.794105 | − | 0.607780i | \(-0.207940\pi\) |
0.558472 | + | 0.829524i | \(0.311388\pi\) | |||||||
\(68\) | 470.616 | + | 399.745i | 0.839274 | + | 0.712886i | ||||
\(69\) | 568.260 | − | 93.1881i | 0.991455 | − | 0.162587i | ||||
\(70\) | −208.018 | − | 945.034i | −0.355184 | − | 1.61362i | ||||
\(71\) | 270.238 | + | 802.036i | 0.451708 | + | 1.34062i | 0.895727 | + | 0.444605i | \(0.146656\pi\) |
−0.444018 | + | 0.896018i | \(0.646447\pi\) | |||||||
\(72\) | −32.4090 | + | 7.13687i | −0.0530478 | + | 0.0116818i | ||||
\(73\) | −166.209 | − | 276.241i | −0.266483 | − | 0.442898i | 0.694505 | − | 0.719488i | \(-0.255623\pi\) |
−0.960988 | + | 0.276590i | \(0.910796\pi\) | |||||||
\(74\) | 117.464 | + | 1080.06i | 0.184526 | + | 1.69669i | ||||
\(75\) | −179.732 | − | 533.345i | −0.276716 | − | 0.821138i | ||||
\(76\) | −204.779 | + | 302.026i | −0.309076 | + | 0.455852i | ||||
\(77\) | 592.326 | + | 561.081i | 0.876647 | + | 0.830404i | ||||
\(78\) | 76.1115 | + | 1402.61i | 0.110486 | + | 2.03608i | ||||
\(79\) | −358.438 | − | 165.831i | −0.510474 | − | 0.236170i | 0.147706 | − | 0.989031i | \(-0.452811\pi\) |
−0.658179 | + | 0.752861i | \(0.728673\pi\) | |||||||
\(80\) | 522.783 | − | 868.872i | 0.730611 | − | 1.21429i | ||||
\(81\) | −529.159 | + | 501.430i | −0.725870 | + | 0.687832i | ||||
\(82\) | 306.964 | + | 324.057i | 0.413396 | + | 0.436417i | ||||
\(83\) | 190.096 | + | 684.662i | 0.251394 | + | 0.905439i | 0.976269 | + | 0.216559i | \(0.0694834\pi\) |
−0.724876 | + | 0.688880i | \(0.758103\pi\) | |||||||
\(84\) | 69.0645 | − | 635.308i | 0.0897090 | − | 0.825212i | ||||
\(85\) | 976.437 | − | 742.268i | 1.24599 | − | 0.947180i | ||||
\(86\) | 365.281 | + | 101.420i | 0.458014 | + | 0.127167i | ||||
\(87\) | −1183.97 | − | 712.300i | −1.45903 | − | 0.877776i | ||||
\(88\) | 3.39451 | + | 62.6081i | 0.00411200 | + | 0.0758414i | ||||
\(89\) | −82.1339 | − | 1514.87i | −0.0978222 | − | 1.80423i | −0.477002 | − | 0.878902i | \(-0.658277\pi\) |
0.379180 | − | 0.925323i | \(-0.376206\pi\) | |||||||
\(90\) | −0.149284 | − | 1633.58i | −0.000174844 | − | 1.91328i | ||||
\(91\) | 1051.73 | + | 292.011i | 1.21155 | + | 0.336386i | ||||
\(92\) | −678.423 | + | 515.724i | −0.768810 | + | 0.584434i | ||||
\(93\) | −253.652 | − | 27.5746i | −0.282822 | − | 0.0307457i | ||||
\(94\) | 275.507 | + | 992.288i | 0.302302 | + | 1.08879i | ||||
\(95\) | 498.467 | + | 526.226i | 0.538333 | + | 0.568312i | ||||
\(96\) | 1002.41 | − | 851.534i | 1.06571 | − | 0.905306i | ||||
\(97\) | −469.416 | + | 780.175i | −0.491360 | + | 0.816647i | −0.998990 | − | 0.0449279i | \(-0.985694\pi\) |
0.507630 | + | 0.861575i | \(0.330522\pi\) | |||||||
\(98\) | 313.504 | + | 145.042i | 0.323150 | + | 0.149505i | ||||
\(99\) | 773.059 | + | 1139.95i | 0.784802 | + | 1.15727i | ||||
\(100\) | 604.682 | + | 572.785i | 0.604682 | + | 0.572785i | ||||
\(101\) | −373.257 | + | 550.513i | −0.367728 | + | 0.542358i | −0.965868 | − | 0.259033i | \(-0.916596\pi\) |
0.598141 | + | 0.801391i | \(0.295906\pi\) | |||||||
\(102\) | 1566.18 | − | 527.788i | 1.52034 | − | 0.512341i | ||||
\(103\) | −118.113 | − | 1086.03i | −0.112990 | − | 1.03893i | −0.904120 | − | 0.427279i | \(-0.859472\pi\) |
0.791130 | − | 0.611648i | \(-0.209493\pi\) | |||||||
\(104\) | 43.2459 | + | 71.8753i | 0.0407751 | + | 0.0677688i | ||||
\(105\) | −1202.96 | − | 405.264i | −1.11807 | − | 0.376664i | ||||
\(106\) | −58.1051 | − | 172.450i | −0.0532422 | − | 0.158017i | ||||
\(107\) | 104.638 | + | 475.377i | 0.0945400 | + | 0.429500i | 0.999987 | + | 0.00504082i | \(0.00160455\pi\) |
−0.905447 | + | 0.424459i | \(0.860464\pi\) | |||||||
\(108\) | 344.334 | − | 1022.41i | 0.306792 | − | 0.910938i | ||||
\(109\) | −628.603 | − | 533.941i | −0.552379 | − | 0.469195i | 0.327195 | − | 0.944957i | \(-0.393897\pi\) |
−0.879574 | + | 0.475762i | \(0.842172\pi\) | |||||||
\(110\) | −3045.80 | − | 499.333i | −2.64005 | − | 0.432814i | ||||
\(111\) | 1293.51 | + | 598.368i | 1.10607 | + | 0.511663i | ||||
\(112\) | −392.993 | − | 986.338i | −0.331557 | − | 0.832145i | ||||
\(113\) | −1785.80 | − | 601.707i | −1.48667 | − | 0.500919i | −0.545287 | − | 0.838249i | \(-0.683579\pi\) |
−0.941386 | + | 0.337331i | \(0.890476\pi\) | |||||||
\(114\) | 410.142 | + | 886.402i | 0.336959 | + | 0.728238i | ||||
\(115\) | 710.775 | + | 1536.31i | 0.576349 | + | 1.24576i | ||||
\(116\) | 2041.79 | + | 110.703i | 1.63427 | + | 0.0886078i | ||||
\(117\) | 1628.11 | + | 862.978i | 1.28648 | + | 0.681900i | ||||
\(118\) | −1766.62 | + | 318.411i | −1.37823 | + | 0.248408i | ||||
\(119\) | − | 1284.26i | − | 0.989313i | ||||||
\(120\) | −45.6982 | − | 86.1865i | −0.0347638 | − | 0.0655643i | ||||
\(121\) | 1153.84 | − | 533.825i | 0.866901 | − | 0.401071i | ||||
\(122\) | 209.421 | − | 1925.59i | 0.155411 | − | 1.42898i | ||||
\(123\) | 571.853 | − | 125.902i | 0.419205 | − | 0.0922941i | ||||
\(124\) | 350.769 | − | 139.759i | 0.254032 | − | 0.101216i | ||||
\(125\) | −210.958 | + | 143.033i | −0.150949 | + | 0.102346i | ||||
\(126\) | −1361.79 | − | 1035.01i | −0.962838 | − | 0.731792i | ||||
\(127\) | −1077.42 | + | 1268.44i | −0.752802 | + | 0.886266i | −0.996501 | − | 0.0835844i | \(-0.973363\pi\) |
0.243699 | + | 0.969851i | \(0.421639\pi\) | |||||||
\(128\) | 58.1878 | − | 146.040i | 0.0401807 | − | 0.100846i | ||||
\(129\) | 361.029 | − | 342.016i | 0.246409 | − | 0.233433i | ||||
\(130\) | −3913.03 | + | 1318.45i | −2.63996 | + | 0.889507i | ||||
\(131\) | −1235.68 | − | 1454.76i | −0.824138 | − | 0.970250i | 0.175762 | − | 0.984433i | \(-0.443761\pi\) |
−0.999899 | + | 0.0141830i | \(0.995485\pi\) | |||||||
\(132\) | −1800.93 | − | 954.688i | −1.18751 | − | 0.629507i | ||||
\(133\) | 754.499 | − | 82.0567i | 0.491905 | − | 0.0534979i | ||||
\(134\) | −640.058 | + | 2907.81i | −0.412631 | + | 1.87460i | ||||
\(135\) | −1836.37 | − | 1104.56i | −1.17074 | − | 0.704191i | ||||
\(136\) | 67.8725 | − | 71.6521i | 0.0427943 | − | 0.0451774i | ||||
\(137\) | −2251.98 | − | 1193.92i | −1.40437 | − | 0.744552i | −0.417904 | − | 0.908491i | \(-0.637235\pi\) |
−0.986470 | + | 0.163939i | \(0.947580\pi\) | |||||||
\(138\) | 246.718 | + | 2267.57i | 0.152189 | + | 1.39876i | ||||
\(139\) | −258.015 | − | 155.242i | −0.157443 | − | 0.0947300i | 0.434652 | − | 0.900598i | \(-0.356871\pi\) |
−0.592095 | + | 0.805868i | \(0.701699\pi\) | |||||||
\(140\) | 1853.81 | − | 303.916i | 1.11911 | − | 0.183469i | ||||
\(141\) | 1301.72 | + | 361.357i | 0.777480 | + | 0.215828i | ||||
\(142\) | −3230.18 | + | 896.854i | −1.90895 | + | 0.530016i | ||||
\(143\) | 2106.93 | − | 2771.61i | 1.23210 | − | 1.62080i | ||||
\(144\) | −290.144 | − | 1768.79i | −0.167907 | − | 1.02360i | ||||
\(145\) | 1086.63 | − | 3913.67i | 0.622340 | − | 2.24147i | ||||
\(146\) | 1128.23 | − | 598.152i | 0.639544 | − | 0.339065i | ||||
\(147\) | 375.050 | − | 254.315i | 0.210432 | − | 0.142691i | ||||
\(148\) | −2106.04 | + | 114.186i | −1.16970 | + | 0.0634193i | ||||
\(149\) | 1524.57 | + | 2875.64i | 0.838239 | + | 1.58109i | 0.813625 | + | 0.581390i | \(0.197491\pi\) |
0.0246141 | + | 0.999697i | \(0.492164\pi\) | |||||||
\(150\) | 2148.04 | − | 596.505i | 1.16924 | − | 0.324696i | ||||
\(151\) | 1159.02 | + | 1524.66i | 0.624633 | + | 0.821690i | 0.994204 | − | 0.107512i | \(-0.0342885\pi\) |
−0.369571 | + | 0.929202i | \(0.620495\pi\) | |||||||
\(152\) | 46.4319 | + | 35.2966i | 0.0247772 | + | 0.0188351i | ||||
\(153\) | 465.878 | − | 2117.43i | 0.246170 | − | 1.11885i | ||||
\(154\) | −2346.22 | + | 2222.45i | −1.22769 | + | 1.16293i | ||||
\(155\) | −121.341 | − | 740.147i | −0.0628796 | − | 0.383549i | ||||
\(156\) | −2726.95 | + | 0.124601i | −1.39956 | + | 6.39489e-5i | ||||
\(157\) | −882.160 | + | 1906.76i | −0.448433 | + | 0.969273i | 0.543130 | + | 0.839649i | \(0.317239\pi\) |
−0.991563 | + | 0.129624i | \(0.958623\pi\) | |||||||
\(158\) | 732.763 | − | 1382.14i | 0.368959 | − | 0.695930i | ||||
\(159\) | −233.141 | − | 51.3070i | −0.116285 | − | 0.0255906i | ||||
\(160\) | 3200.15 | + | 2169.76i | 1.58121 | + | 1.07209i | ||||
\(161\) | 1731.00 | + | 381.022i | 0.847341 | + | 0.186514i | ||||
\(162\) | −1869.79 | − | 2200.47i | −0.906816 | − | 1.06719i | ||||
\(163\) | 1144.26 | − | 688.478i | 0.549848 | − | 0.330833i | −0.213372 | − | 0.976971i | \(-0.568445\pi\) |
0.763220 | + | 0.646138i | \(0.223617\pi\) | |||||||
\(164\) | −660.446 | + | 560.988i | −0.314465 | + | 0.267109i | ||||
\(165\) | −2621.05 | + | 3086.02i | −1.23666 | + | 1.45604i | ||||
\(166\) | −2748.75 | + | 605.046i | −1.28521 | + | 0.282896i | ||||
\(167\) | −2169.45 | − | 864.388i | −1.00525 | − | 0.400529i | −0.191344 | − | 0.981523i | \(-0.561285\pi\) |
−0.813908 | + | 0.580994i | \(0.802664\pi\) | |||||||
\(168\) | −100.799 | − | 16.5204i | −0.0462904 | − | 0.00758676i | ||||
\(169\) | 398.098 | − | 2428.29i | 0.181201 | − | 1.10527i | ||||
\(170\) | 2726.44 | + | 4021.19i | 1.23005 | + | 1.81418i | ||||
\(171\) | 1273.75 | + | 138.410i | 0.569624 | + | 0.0618977i | ||||
\(172\) | −234.993 | + | 697.435i | −0.104175 | + | 0.309180i | ||||
\(173\) | 804.156 | + | 87.4573i | 0.353404 | + | 0.0384350i | 0.283099 | − | 0.959091i | \(-0.408637\pi\) |
0.0703045 | + | 0.997526i | \(0.477603\pi\) | |||||||
\(174\) | 3071.20 | − | 4530.12i | 1.33808 | − | 1.97372i | ||||
\(175\) | 93.7858 | − | 1729.78i | 0.0405117 | − | 0.747194i | ||||
\(176\) | −3386.57 | −1.45041 | ||||||||
\(177\) | −836.782 | + | 2201.14i | −0.355347 | + | 0.934734i | ||||
\(178\) | 6009.25 | 2.53041 | ||||||||
\(179\) | 203.331 | − | 3750.22i | 0.0849032 | − | 1.56595i | −0.577242 | − | 0.816573i | \(-0.695871\pi\) |
0.662146 | − | 0.749375i | \(-0.269646\pi\) | |||||||
\(180\) | 3166.71 | + | 171.404i | 1.31129 | + | 0.0709760i | ||||
\(181\) | 2617.07 | + | 284.624i | 1.07473 | + | 0.116884i | 0.628326 | − | 0.777950i | \(-0.283740\pi\) |
0.446400 | + | 0.894834i | \(0.352706\pi\) | |||||||
\(182\) | −1380.51 | + | 4097.20i | −0.562252 | + | 1.66871i | ||||
\(183\) | −2022.89 | − | 1537.61i | −0.817137 | − | 0.621113i | ||||
\(184\) | 76.4399 | + | 112.740i | 0.0306262 | + | 0.0451703i | ||||
\(185\) | −677.790 | + | 4134.34i | −0.269363 | + | 1.64304i | ||||
\(186\) | 163.458 | − | 997.333i | 0.0644371 | − | 0.393161i | ||||
\(187\) | −3805.38 | − | 1516.20i | −1.48811 | − | 0.592918i | ||||
\(188\) | −1952.50 | + | 429.778i | −0.757451 | + | 0.166728i | ||||
\(189\) | −2084.35 | + | 830.812i | −0.802192 | + | 0.319750i | ||||
\(190\) | −2188.23 | + | 1858.70i | −0.835531 | + | 0.709706i | ||||
\(191\) | 2742.28 | − | 1649.97i | 1.03887 | − | 0.625067i | 0.109412 | − | 0.993996i | \(-0.465103\pi\) |
0.929457 | + | 0.368929i | \(0.120276\pi\) | |||||||
\(192\) | 1482.89 | + | 1950.52i | 0.557387 | + | 0.733160i | ||||
\(193\) | 2265.57 | + | 498.690i | 0.844971 | + | 0.185992i | 0.616300 | − | 0.787511i | \(-0.288631\pi\) |
0.228671 | + | 0.973504i | \(0.426562\pi\) | |||||||
\(194\) | −2985.10 | − | 2023.95i | −1.10473 | − | 0.749025i | ||||
\(195\) | −1164.20 | + | 5290.15i | −0.427538 | + | 1.94275i | ||||
\(196\) | −314.114 | + | 592.482i | −0.114473 | + | 0.215919i | ||||
\(197\) | 407.812 | − | 881.472i | 0.147489 | − | 0.318793i | −0.819724 | − | 0.572759i | \(-0.805873\pi\) |
0.967213 | + | 0.253966i | \(0.0817351\pi\) | |||||||
\(198\) | −4674.53 | + | 2813.16i | −1.67780 | + | 1.00971i | ||||
\(199\) | 6.29825 | + | 38.4176i | 0.00224357 | + | 0.0136852i | 0.987925 | − | 0.154936i | \(-0.0495170\pi\) |
−0.985681 | + | 0.168621i | \(0.946069\pi\) | |||||||
\(200\) | 96.6502 | − | 91.5519i | 0.0341710 | − | 0.0323685i | ||||
\(201\) | 2835.75 | + | 2685.92i | 0.995116 | + | 0.942538i | ||||
\(202\) | −2097.35 | − | 1594.37i | −0.730541 | − | 0.555343i | ||||
\(203\) | −2573.74 | − | 3385.69i | −0.889857 | − | 1.17059i | ||||
\(204\) | 858.505 | + | 3091.51i | 0.294644 | + | 1.06102i | ||||
\(205\) | 806.261 | + | 1520.77i | 0.274691 | + | 0.518123i | ||||
\(206\) | 4320.80 | − | 234.267i | 1.46138 | − | 0.0792338i | ||||
\(207\) | 2715.77 | + | 1256.15i | 0.911878 | + | 0.421778i | ||||
\(208\) | −4002.91 | + | 2122.21i | −1.33438 | + | 0.707445i | ||||
\(209\) | 647.620 | − | 2332.52i | 0.214339 | − | 0.771979i | ||||
\(210\) | 1860.88 | − | 4671.07i | 0.611489 | − | 1.53493i | ||||
\(211\) | 1786.26 | − | 2349.79i | 0.582802 | − | 0.766663i | −0.406325 | − | 0.913729i | \(-0.633190\pi\) |
0.989127 | + | 0.147066i | \(0.0469829\pi\) | |||||||
\(212\) | 340.400 | − | 94.5117i | 0.110277 | − | 0.0306183i | ||||
\(213\) | −1176.32 | + | 4237.47i | −0.378404 | + | 1.36313i | ||||
\(214\) | −1902.66 | + | 311.925i | −0.607771 | + | 0.0996390i | ||||
\(215\) | 1252.63 | + | 753.684i | 0.397343 | + | 0.239074i | ||||
\(216\) | −160.199 | − | 63.8036i | −0.0504637 | − | 0.0200985i | ||||
\(217\) | −693.847 | − | 367.854i | −0.217057 | − | 0.115076i | ||||
\(218\) | 2246.65 | − | 2371.76i | 0.697993 | − | 0.736862i | ||||
\(219\) | 90.6160 | − | 1672.73i | 0.0279601 | − | 0.516130i | ||||
\(220\) | 1288.08 | − | 5851.78i | 0.394736 | − | 1.79331i | ||||
\(221\) | −5448.07 | + | 592.513i | −1.65827 | + | 0.180347i | ||||
\(222\) | −2644.06 | + | 4987.78i | −0.799359 | + | 1.50792i | ||||
\(223\) | −662.317 | − | 779.739i | −0.198888 | − | 0.234149i | 0.653673 | − | 0.756777i | \(-0.273227\pi\) |
−0.852561 | + | 0.522629i | \(0.824951\pi\) | |||||||
\(224\) | 3836.43 | − | 1292.64i | 1.14434 | − | 0.385573i | ||||
\(225\) | 782.122 | − | 2817.95i | 0.231740 | − | 0.834947i | ||||
\(226\) | 2762.84 | − | 6934.20i | 0.813191 | − | 2.04095i | ||||
\(227\) | −1206.90 | + | 1420.87i | −0.352884 | + | 0.415447i | −0.909751 | − | 0.415155i | \(-0.863727\pi\) |
0.556867 | + | 0.830602i | \(0.312003\pi\) | |||||||
\(228\) | −1761.39 | + | 701.896i | −0.511628 | + | 0.203878i | ||||
\(229\) | 3349.59 | − | 2271.08i | 0.966581 | − | 0.655358i | 0.0277059 | − | 0.999616i | \(-0.491180\pi\) |
0.938875 | + | 0.344258i | \(0.111869\pi\) | |||||||
\(230\) | −6228.88 | + | 2481.81i | −1.78574 | + | 0.711503i | ||||
\(231\) | 911.544 | + | 4140.28i | 0.259633 | + | 1.17927i | ||||
\(232\) | 35.3368 | − | 324.916i | 0.00999989 | − | 0.0919474i | ||||
\(233\) | −4706.62 | + | 2177.51i | −1.32335 | + | 0.612248i | −0.949069 | − | 0.315067i | \(-0.897973\pi\) |
−0.374283 | + | 0.927315i | \(0.622111\pi\) | |||||||
\(234\) | −3762.40 | + | 6254.45i | −1.05109 | + | 1.74729i | ||||
\(235\) | 3971.24i | 1.10236i | ||||||||
\(236\) | −431.563 | − | 3458.05i | −0.119035 | − | 0.953814i | ||||
\(237\) | −1058.08 | − | 1758.37i | −0.290000 | − | 0.481933i | ||||
\(238\) | 5079.54 | + | 275.405i | 1.38343 | + | 0.0750077i | ||||
\(239\) | 1275.69 | + | 2757.37i | 0.345263 | + | 0.746274i | 0.999954 | − | 0.00962323i | \(-0.00306322\pi\) |
−0.654691 | + | 0.755897i | \(0.727201\pi\) | |||||||
\(240\) | 4781.92 | − | 2212.62i | 1.28613 | − | 0.595100i | ||||
\(241\) | 182.708 | + | 61.5616i | 0.0488352 | + | 0.0164545i | 0.343613 | − | 0.939111i | \(-0.388349\pi\) |
−0.294778 | + | 0.955566i | \(0.595246\pi\) | |||||||
\(242\) | 1863.96 | + | 4678.18i | 0.495123 | + | 1.24266i | ||||
\(243\) | −3737.95 | + | 613.683i | −0.986790 | + | 0.162007i | ||||
\(244\) | 3710.75 | + | 608.346i | 0.973591 | + | 0.159612i | ||||
\(245\) | 1015.24 | + | 862.356i | 0.264741 | + | 0.224873i | ||||
\(246\) | 375.337 | + | 2288.80i | 0.0972789 | + | 0.593205i | ||||
\(247\) | −696.198 | − | 3162.86i | −0.179344 | − | 0.814769i | ||||
\(248\) | −19.2705 | − | 57.1928i | −0.00493419 | − | 0.0146441i | ||||
\(249\) | −1178.76 | + | 3498.97i | −0.300004 | + | 0.890515i | ||||
\(250\) | −520.487 | − | 865.056i | −0.131674 | − | 0.218844i | ||||
\(251\) | 274.701 | + | 2525.83i | 0.0690796 | + | 0.635176i | 0.976584 | + | 0.215134i | \(0.0690190\pi\) |
−0.907505 | + | 0.420042i | \(0.862015\pi\) | |||||||
\(252\) | 2149.48 | − | 2531.04i | 0.537320 | − | 0.632700i | ||||
\(253\) | 3172.62 | − | 4679.26i | 0.788382 | − | 1.16278i | ||||
\(254\) | −4785.90 | − | 4533.45i | −1.18226 | − | 1.11990i | ||||
\(255\) | 6363.91 | − | 345.333i | 1.56284 | − | 0.0848061i | ||||
\(256\) | 3988.82 | + | 1845.42i | 0.973833 | + | 0.450543i | ||||
\(257\) | 1346.87 | − | 2238.51i | 0.326908 | − | 0.543325i | −0.649198 | − | 0.760619i | \(-0.724895\pi\) |
0.976106 | + | 0.217294i | \(0.0697231\pi\) | |||||||
\(258\) | 1275.33 | + | 1501.29i | 0.307745 | + | 0.362272i | ||||
\(259\) | 3016.74 | + | 3184.73i | 0.723749 | + | 0.764052i | ||||
\(260\) | −2144.55 | − | 7723.96i | −0.511535 | − | 1.84238i | ||||
\(261\) | −3015.25 | − | 6515.80i | −0.715094 | − | 1.54528i | ||||
\(262\) | 6018.86 | − | 4575.42i | 1.41926 | − | 1.07889i | ||||
\(263\) | −3178.70 | − | 882.561i | −0.745273 | − | 0.206924i | −0.125924 | − | 0.992040i | \(-0.540190\pi\) |
−0.619349 | + | 0.785116i | \(0.712603\pi\) | |||||||
\(264\) | −167.954 | + | 279.171i | −0.0391548 | + | 0.0650825i | ||||
\(265\) | −37.9914 | − | 700.711i | −0.00880678 | − | 0.162431i | ||||
\(266\) | 162.753 | + | 3001.80i | 0.0375151 | + | 0.691926i | ||||
\(267\) | 4063.84 | − | 6754.85i | 0.931471 | − | 1.54828i | ||||
\(268\) | −5569.51 | − | 1546.37i | −1.26945 | − | 0.352461i | ||||
\(269\) | 4616.95 | − | 3509.71i | 1.04647 | − | 0.795506i | 0.0671335 | − | 0.997744i | \(-0.478615\pi\) |
0.979336 | + | 0.202238i | \(0.0648216\pi\) | |||||||
\(270\) | 4762.59 | − | 7026.37i | 1.07349 | − | 1.58374i | ||||
\(271\) | 1493.44 | + | 5378.90i | 0.334761 | + | 1.20570i | 0.919045 | + | 0.394152i | \(0.128962\pi\) |
−0.584284 | + | 0.811549i | \(0.698625\pi\) | |||||||
\(272\) | 3665.94 | + | 3870.09i | 0.817208 | + | 0.862716i | ||||
\(273\) | 3671.97 | + | 4322.57i | 0.814057 | + | 0.958293i | ||||
\(274\) | 5205.14 | − | 8651.01i | 1.14764 | − | 1.90740i | ||||
\(275\) | −5014.75 | − | 2320.07i | −1.09964 | − | 0.508747i | ||||
\(276\) | −4421.61 | + | 239.935i | −0.964310 | + | 0.0523276i | ||||
\(277\) | 3435.00 | + | 3253.80i | 0.745087 | + | 0.705783i | 0.962796 | − | 0.270230i | \(-0.0870998\pi\) |
−0.217709 | + | 0.976014i | \(0.569858\pi\) | |||||||
\(278\) | 669.346 | − | 987.212i | 0.144405 | − | 0.212982i | ||||
\(279\) | −1010.54 | − | 858.198i | −0.216843 | − | 0.184154i | ||||
\(280\) | −32.4640 | − | 298.501i | −0.00692890 | − | 0.0637102i | ||||
\(281\) | −1003.18 | − | 1667.29i | −0.212970 | − | 0.353958i | 0.731896 | − | 0.681416i | \(-0.238636\pi\) |
−0.944866 | + | 0.327458i | \(0.893808\pi\) | |||||||
\(282\) | −1708.39 | + | 5071.09i | −0.360756 | + | 1.07085i | ||||
\(283\) | −1368.96 | − | 4062.93i | −0.287548 | − | 0.853413i | −0.989923 | − | 0.141606i | \(-0.954774\pi\) |
0.702375 | − | 0.711807i | \(-0.252123\pi\) | |||||||
\(284\) | −1399.05 | − | 6355.94i | −0.292318 | − | 1.32801i | ||||
\(285\) | 609.496 | + | 3716.70i | 0.126679 | + | 0.772485i | ||||
\(286\) | 10510.5 | + | 8927.70i | 2.17307 | + | 1.84582i | ||||
\(287\) | 1778.55 | + | 291.578i | 0.365799 | + | 0.0599697i | ||||
\(288\) | 6794.22 | − | 739.544i | 1.39012 | − | 0.151313i | ||||
\(289\) | 568.136 | + | 1425.91i | 0.115639 | + | 0.290233i | ||||
\(290\) | 15246.4 | + | 5137.10i | 3.08724 | + | 1.04021i | ||||
\(291\) | −4293.77 | + | 1986.75i | −0.864967 | + | 0.400224i | ||||
\(292\) | 1040.94 | + | 2249.94i | 0.208617 | + | 0.450918i | ||||
\(293\) | −2393.71 | − | 129.783i | −0.477277 | − | 0.0258772i | −0.186068 | − | 0.982537i | \(-0.559575\pi\) |
−0.291209 | + | 0.956660i | \(0.594057\pi\) | |||||||
\(294\) | 925.442 | + | 1537.94i | 0.183581 | + | 0.305083i | ||||
\(295\) | −6892.67 | − | 639.424i | −1.36036 | − | 0.126199i | ||||
\(296\) | 337.116i | 0.0661976i | ||||||||
\(297\) | 0.981053 | + | 7156.96i | 0.000191672 | + | 1.39828i | ||||
\(298\) | −11700.7 | + | 5413.33i | −2.27451 | + | 1.05230i | ||||
\(299\) | 817.740 | − | 7519.00i | 0.158164 | − | 1.45430i | ||||
\(300\) | 930.559 | + | 4226.65i | 0.179086 | + | 0.813420i | ||||
\(301\) | 1421.98 | − | 566.569i | 0.272298 | − | 0.108493i | ||||
\(302\) | −6278.91 | + | 4257.21i | −1.19639 | + | 0.811174i | ||||
\(303\) | −3210.55 | + | 1279.37i | −0.608717 | + | 0.242567i | ||||
\(304\) | −2039.43 | + | 2401.00i | −0.384767 | + | 0.452983i | ||||
\(305\) | 2764.68 | − | 6938.82i | 0.519033 | − | 1.30268i | ||||
\(306\) | 8274.97 | + | 2296.72i | 1.54591 | + | 0.429068i | ||||
\(307\) | −1.08677 | + | 0.366175i | −0.000202036 | + | 6.80739e-5i | −0.319403 | − | 0.947619i | \(-0.603482\pi\) |
0.319201 | + | 0.947687i | \(0.396586\pi\) | |||||||
\(308\) | −4061.62 | − | 4781.71i | −0.751404 | − | 0.884622i | ||||
\(309\) | 2658.66 | − | 5015.33i | 0.489470 | − | 0.923340i | ||||
\(310\) | 2953.46 | − | 321.208i | 0.541114 | − | 0.0588497i | ||||
\(311\) | −225.531 | + | 1024.60i | −0.0411212 | + | 0.186816i | −0.992704 | − | 0.120577i | \(-0.961525\pi\) |
0.951583 | + | 0.307393i | \(0.0994565\pi\) | |||||||
\(312\) | −23.5774 | + | 435.228i | −0.00427823 | + | 0.0789741i | ||||
\(313\) | −1878.04 | + | 1982.63i | −0.339148 | + | 0.358034i | −0.873152 | − | 0.487448i | \(-0.837928\pi\) |
0.534004 | + | 0.845482i | \(0.320687\pi\) | |||||||
\(314\) | −7352.46 | − | 3898.03i | −1.32141 | − | 0.700568i | ||||
\(315\) | −3992.18 | − | 5250.63i | −0.714077 | − | 0.939173i | ||||
\(316\) | 2602.25 | + | 1565.72i | 0.463253 | + | 0.278730i | ||||
\(317\) | −4603.78 | + | 754.751i | −0.815691 | + | 0.133726i | −0.555164 | − | 0.831741i | \(-0.687344\pi\) |
−0.260527 | + | 0.965467i | \(0.583896\pi\) | |||||||
\(318\) | 252.926 | − | 911.119i | 0.0446019 | − | 0.160670i | ||||
\(319\) | −13070.6 | + | 3629.04i | −2.29409 | + | 0.636951i | ||||
\(320\) | −4358.84 | + | 5733.95i | −0.761457 | + | 1.00168i | ||||
\(321\) | −936.070 | + | 2349.67i | −0.162761 | + | 0.408554i | ||||
\(322\) | −1878.23 | + | 6764.77i | −0.325061 | + | 1.17076i | ||||
\(323\) | −3366.59 | + | 1784.85i | −0.579945 | + | 0.307467i | ||||
\(324\) | 4462.11 | − | 3393.30i | 0.765109 | − | 0.581841i | ||||
\(325\) | −7381.29 | + | 400.202i | −1.25982 | + | 0.0683052i | ||||
\(326\) | 2477.70 | + | 4673.43i | 0.420941 | + | 0.793980i | ||||
\(327\) | −1146.71 | − | 4129.33i | −0.193924 | − | 0.698326i | ||||
\(328\) | 83.8197 | + | 110.263i | 0.0141103 | + | 0.0185618i | ||||
\(329\) | 3310.27 | + | 2516.40i | 0.554715 | + | 0.421684i | ||||
\(330\) | −11643.8 | − | 11028.6i | −1.94233 | − | 1.83971i | ||||
\(331\) | −7271.93 | + | 6888.34i | −1.20756 | + | 1.14386i | −0.221906 | + | 0.975068i | \(0.571228\pi\) |
−0.985652 | + | 0.168791i | \(0.946014\pi\) | |||||||
\(332\) | −883.979 | − | 5392.03i | −0.146128 | − | 0.891344i | ||||
\(333\) | 3818.55 | + | 6345.17i | 0.628394 | + | 1.04418i | ||||
\(334\) | 3884.07 | − | 8395.28i | 0.636308 | − | 1.37536i | ||||
\(335\) | −5378.09 | + | 10144.2i | −0.877124 | + | 1.65443i | ||||
\(336\) | 1185.75 | − | 5388.07i | 0.192523 | − | 0.874831i | ||||
\(337\) | −7051.83 | − | 4781.26i | −1.13987 | − | 0.772854i | −0.162991 | − | 0.986628i | \(-0.552114\pi\) |
−0.976883 | + | 0.213774i | \(0.931424\pi\) | |||||||
\(338\) | 9519.03 | + | 2095.30i | 1.53185 | + | 0.337187i | ||||
\(339\) | −5926.14 | − | 7794.97i | −0.949451 | − | 1.24886i | ||||
\(340\) | −8081.62 | + | 4862.55i | −1.28908 | + | 0.775614i | ||||
\(341\) | −1909.14 | + | 1621.64i | −0.303183 | + | 0.257526i | ||||
\(342\) | −820.592 | + | 5008.25i | −0.129744 | + | 0.791858i | ||||
\(343\) | 6719.67 | − | 1479.11i | 1.05781 | − | 0.232841i | ||||
\(344\) | 109.279 | + | 43.5406i | 0.0171276 | + | 0.00682427i | ||||
\(345\) | −1422.62 | + | 8680.08i | −0.222004 | + | 1.35455i | ||||
\(346\) | −518.360 | + | 3161.86i | −0.0805410 | + | 0.491279i | ||||
\(347\) | 148.287 | + | 218.707i | 0.0229408 | + | 0.0338352i | 0.838986 | − | 0.544152i | \(-0.183149\pi\) |
−0.816046 | + | 0.577987i | \(0.803838\pi\) | |||||||
\(348\) | 8458.83 | + | 6429.62i | 1.30299 | + | 0.990414i | ||||
\(349\) | −337.460 | + | 1001.55i | −0.0517588 | + | 0.153615i | −0.970415 | − | 0.241444i | \(-0.922379\pi\) |
0.918656 | + | 0.395058i | \(0.129276\pi\) | |||||||
\(350\) | 6821.53 | + | 741.886i | 1.04179 | + | 0.113301i | ||||
\(351\) | 4486.10 | + | 8458.87i | 0.682194 | + | 1.28633i | ||||
\(352\) | 699.078 | − | 12893.7i | 0.105855 | − | 1.95238i | ||||
\(353\) | 9499.51 | 1.43232 | 0.716158 | − | 0.697938i | \(-0.245899\pi\) | ||||
0.716158 | + | 0.697938i | \(0.245899\pi\) | |||||||
\(354\) | −8526.54 | − | 3781.68i | −1.28017 | − | 0.567779i | ||||
\(355\) | −12927.5 | −1.93274 | ||||||||
\(356\) | −631.586 | + | 11648.9i | −0.0940280 | + | 1.73424i | ||||
\(357\) | 3744.68 | − | 5523.53i | 0.555152 | − | 0.818869i | ||||
\(358\) | 14789.3 | + | 1608.44i | 2.18335 | + | 0.237454i | ||||
\(359\) | 3196.91 | − | 9488.09i | 0.469990 | − | 1.39488i | −0.406583 | − | 0.913614i | \(-0.633280\pi\) |
0.876574 | − | 0.481268i | \(-0.159823\pi\) | |||||||
\(360\) | 54.7591 | − | 503.930i | 0.00801682 | − | 0.0737762i | ||||
\(361\) | 2585.48 | + | 3813.30i | 0.376948 | + | 0.555956i | ||||
\(362\) | −1686.97 | + | 10290.0i | −0.244931 | + | 1.49401i | ||||
\(363\) | 6519.14 | + | 1068.45i | 0.942607 | + | 0.154488i | ||||
\(364\) | −7797.30 | − | 3106.73i | −1.12277 | − | 0.447354i | ||||
\(365\) | 4809.23 | − | 1058.59i | 0.689662 | − | 0.151806i | ||||
\(366\) | 6515.39 | − | 7671.22i | 0.930505 | − | 1.09558i | ||||
\(367\) | 3632.12 | − | 3085.15i | 0.516609 | − | 0.438811i | −0.350769 | − | 0.936462i | \(-0.614080\pi\) |
0.867377 | + | 0.497651i | \(0.165804\pi\) | |||||||
\(368\) | −6303.95 | + | 3792.96i | −0.892979 | + | 0.537288i | ||||
\(369\) | 2826.61 | + | 1125.92i | 0.398773 | + | 0.158843i | ||||
\(370\) | −16206.8 | − | 3567.39i | −2.27717 | − | 0.501243i | ||||
\(371\) | −608.159 | − | 412.342i | −0.0851053 | − | 0.0577028i | ||||
\(372\) | 1916.15 | + | 421.684i | 0.267063 | + | 0.0587723i | ||||
\(373\) | 233.734 | − | 440.870i | 0.0324459 | − | 0.0611994i | −0.866759 | − | 0.498727i | \(-0.833801\pi\) |
0.899205 | + | 0.437528i | \(0.144146\pi\) | |||||||
\(374\) | 6812.94 | − | 14725.9i | 0.941949 | − | 2.03599i | ||||
\(375\) | −1324.37 | + | 0.0605136i | −0.182374 | + | 8.33310e-6i | ||||
\(376\) | 51.6977 | + | 315.342i | 0.00709071 | + | 0.0432514i | ||||
\(377\) | −13175.3 | + | 12480.3i | −1.79990 | + | 1.70495i | ||||
\(378\) | −2839.06 | − | 8422.22i | −0.386311 | − | 1.14601i | ||||
\(379\) | −5702.30 | − | 4334.78i | −0.772843 | − | 0.587500i | 0.142678 | − | 0.989769i | \(-0.454429\pi\) |
−0.915522 | + | 0.402269i | \(0.868222\pi\) | |||||||
\(380\) | −3373.09 | − | 4437.23i | −0.455358 | − | 0.599013i | ||||
\(381\) | −8332.46 | + | 2313.91i | −1.12043 | + | 0.311142i | ||||
\(382\) | 5937.92 | + | 11200.1i | 0.795316 | + | 1.50012i | ||||
\(383\) | −1943.49 | + | 105.373i | −0.259289 | + | 0.0140583i | −0.183325 | − | 0.983052i | \(-0.558686\pi\) |
−0.0759641 | + | 0.997111i | \(0.524203\pi\) | |||||||
\(384\) | 676.089 | − | 458.445i | 0.0898477 | − | 0.0609243i | ||||
\(385\) | −11010.6 | + | 5837.43i | −1.45753 | + | 0.772735i | ||||
\(386\) | −2458.27 | + | 8853.88i | −0.324152 | + | 1.16749i | ||||
\(387\) | 2550.02 | − | 418.293i | 0.334947 | − | 0.0549433i | ||||
\(388\) | 4237.15 | − | 5573.87i | 0.554404 | − | 0.729306i | ||||
\(389\) | 6824.75 | − | 1894.88i | 0.889534 | − | 0.246978i | 0.207445 | − | 0.978247i | \(-0.433485\pi\) |
0.682089 | + | 0.731269i | \(0.261072\pi\) | |||||||
\(390\) | −20674.0 | − | 5739.10i | −2.68428 | − | 0.745155i | ||||
\(391\) | −8781.69 | + | 1439.69i | −1.13583 | + | 0.186210i | ||||
\(392\) | 91.8431 | + | 55.2602i | 0.0118336 | + | 0.00712005i | ||||
\(393\) | −1072.78 | − | 9859.83i | −0.137696 | − | 1.26555i | ||||
\(394\) | 3398.95 | + | 1802.01i | 0.434611 | + | 0.230416i | ||||
\(395\) | 4148.59 | − | 4379.61i | 0.528451 | − | 0.557879i | ||||
\(396\) | −4961.99 | − | 9357.23i | −0.629670 | − | 1.18742i | ||||
\(397\) | −1804.60 | + | 8198.39i | −0.228137 | + | 1.03644i | 0.713722 | + | 0.700429i | \(0.247008\pi\) |
−0.941859 | + | 0.336008i | \(0.890923\pi\) | |||||||
\(398\) | −153.300 | + | 16.6724i | −0.0193072 | + | 0.00209978i | ||||
\(399\) | 3484.31 | + | 1847.06i | 0.437177 | + | 0.231751i | ||||
\(400\) | 4655.05 | + | 5480.35i | 0.581881 | + | 0.685043i | ||||
\(401\) | 5446.08 | − | 1835.00i | 0.678216 | − | 0.228517i | 0.0409495 | − | 0.999161i | \(-0.486962\pi\) |
0.637266 | + | 0.770644i | \(0.280065\pi\) | |||||||
\(402\) | −11231.5 | + | 10640.0i | −1.39347 | + | 1.32009i | ||||
\(403\) | −1240.39 | + | 3113.13i | −0.153320 | + | 0.384805i | ||||
\(404\) | 3311.11 | − | 3898.14i | 0.407757 | − | 0.480049i | ||||
\(405\) | −4677.39 | − | 10105.2i | −0.573880 | − | 1.23983i | ||||
\(406\) | 13943.1 | − | 9453.64i | 1.70439 | − | 1.15561i | ||||
\(407\) | 12998.2 | − | 5178.95i | 1.58304 | − | 0.630739i | ||||
\(408\) | 500.840 | − | 110.267i | 0.0607727 | − | 0.0133800i | ||||
\(409\) | 399.480 | − | 3673.16i | 0.0482959 | − | 0.444073i | −0.944877 | − | 0.327424i | \(-0.893819\pi\) |
0.993173 | − | 0.116649i | \(-0.0372152\pi\) | |||||||
\(410\) | −6187.87 | + | 2862.81i | −0.745359 | + | 0.344840i | ||||
\(411\) | −6204.34 | − | 11701.3i | −0.744616 | − | 1.40434i | ||||
\(412\) | 8400.48i | 1.00452i | ||||||||
\(413\) | −4900.59 | + | 5340.29i | −0.583879 | + | 0.636267i | ||||
\(414\) | −5550.71 | + | 10472.1i | −0.658943 | + | 1.24317i | ||||
\(415\) | −10837.6 | − | 587.600i | −1.28193 | − | 0.0695040i | ||||
\(416\) | −7253.61 | − | 15678.4i | −0.854897 | − | 1.84783i | ||||
\(417\) | −657.045 | − | 1420.01i | −0.0771598 | − | 0.166758i | ||||
\(418\) | 9086.73 | + | 3061.67i | 1.06327 | + | 0.358257i | ||||
\(419\) | −4742.80 | − | 11903.5i | −0.552986 | − | 1.38789i | −0.894100 | − | 0.447868i | \(-0.852183\pi\) |
0.341114 | − | 0.940022i | \(-0.389196\pi\) | |||||||
\(420\) | 8859.26 | + | 4098.24i | 1.02926 | + | 0.476128i | ||||
\(421\) | 5758.44 | + | 944.049i | 0.666625 | + | 0.109288i | 0.485587 | − | 0.874188i | \(-0.338606\pi\) |
0.181038 | + | 0.983476i | \(0.442054\pi\) | |||||||
\(422\) | 8910.85 | + | 7568.94i | 1.02790 | + | 0.873105i | ||||
\(423\) | 4544.96 | + | 5349.75i | 0.522420 | + | 0.614926i | ||||
\(424\) | −12.1386 | − | 55.1464i | −0.00139034 | − | 0.00631638i | ||||
\(425\) | 2777.12 | + | 8242.20i | 0.316965 | + | 0.940719i | ||||
\(426\) | −16507.8 | − | 5561.30i | −1.87748 | − | 0.632502i | ||||
\(427\) | −4032.08 | − | 6701.37i | −0.456969 | − | 0.759489i | ||||
\(428\) | −404.692 | − | 3721.08i | −0.0457044 | − | 0.420245i | ||||
\(429\) | 17143.3 | − | 5777.11i | 1.92933 | − | 0.650166i | ||||
\(430\) | −3249.60 | + | 4792.80i | −0.364441 | + | 0.537511i | ||||
\(431\) | 3001.33 | + | 2843.01i | 0.335427 | + | 0.317733i | 0.836811 | − | 0.547491i | \(-0.184417\pi\) |
−0.501384 | + | 0.865225i | \(0.667176\pi\) | |||||||
\(432\) | 3909.57 | − | 8453.43i | 0.435415 | − | 0.941472i | ||||
\(433\) | 7875.34 | + | 3643.52i | 0.874053 | + | 0.404380i | 0.805029 | − | 0.593235i | \(-0.202150\pi\) |
0.0690234 | + | 0.997615i | \(0.478012\pi\) | |||||||
\(434\) | 1603.73 | − | 2665.43i | 0.177377 | − | 0.294803i | ||||
\(435\) | 16085.0 | − | 13664.0i | 1.77292 | − | 1.50607i | ||||
\(436\) | 4361.52 | + | 4604.40i | 0.479080 | + | 0.505759i | ||||
\(437\) | −1406.91 | − | 5067.22i | −0.154008 | − | 0.554686i | ||||
\(438\) | 6596.56 | + | 717.114i | 0.719625 | + | 0.0782307i | ||||
\(439\) | 1853.03 | − | 1408.64i | 0.201458 | − | 0.153145i | −0.499581 | − | 0.866267i | \(-0.666513\pi\) |
0.701040 | + | 0.713122i | \(0.252720\pi\) | |||||||
\(440\) | −922.810 | − | 256.217i | −0.0999846 | − | 0.0277606i | ||||
\(441\) | 2354.60 | − | 0.215174i | 0.254249 | − | 2.32344e-5i | ||||
\(442\) | −1175.20 | − | 21675.3i | −0.126468 | − | 2.33256i | ||||
\(443\) | −319.214 | − | 5887.56i | −0.0342355 | − | 0.631436i | −0.964425 | − | 0.264357i | \(-0.914840\pi\) |
0.930190 | − | 0.367080i | \(-0.119642\pi\) | |||||||
\(444\) | −9390.89 | − | 5649.72i | −1.00377 | − | 0.603883i | ||||
\(445\) | 22328.4 | + | 6199.45i | 2.37858 | + | 0.660409i | ||||
\(446\) | 3226.07 | − | 2452.39i | 0.342508 | − | 0.260368i | ||||
\(447\) | −1827.78 | + | 16813.3i | −0.193403 | + | 1.77907i | ||||
\(448\) | 2017.59 | + | 7266.72i | 0.212773 | + | 0.766340i | ||||
\(449\) | 1236.81 | + | 1305.68i | 0.129997 | + | 0.137236i | 0.787744 | − | 0.616003i | \(-0.211249\pi\) |
−0.657747 | + | 0.753239i | \(0.728490\pi\) | |||||||
\(450\) | 10977.9 | + | 3697.75i | 1.15000 | + | 0.387364i | ||||
\(451\) | 2963.72 | − | 4925.74i | 0.309437 | − | 0.514289i | ||||
\(452\) | 13151.5 | + | 6084.54i | 1.36857 | + | 0.633170i | ||||
\(453\) | 539.221 | + | 9936.95i | 0.0559268 | + | 1.03064i | ||||
\(454\) | −5361.03 | − | 5078.23i | −0.554197 | − | 0.524963i | ||||
\(455\) | −9356.38 | + | 13799.6i | −0.964030 | + | 1.42184i | ||||
\(456\) | 96.7821 | + | 287.196i | 0.00993911 | + | 0.0294938i | ||||
\(457\) | 1316.88 | + | 12108.5i | 0.134795 | + | 1.23942i | 0.844747 | + | 0.535166i | \(0.179751\pi\) |
−0.709952 | + | 0.704250i | \(0.751283\pi\) | |||||||
\(458\) | 8264.29 | + | 13735.4i | 0.843155 | + | 1.40133i | ||||
\(459\) | 8177.74 | − | 7748.49i | 0.831600 | − | 0.787949i | ||||
\(460\) | −4156.31 | − | 12335.5i | −0.421280 | − | 1.25032i | ||||
\(461\) | −2152.92 | − | 9780.84i | −0.217509 | − | 0.988154i | −0.951177 | − | 0.308646i | \(-0.900124\pi\) |
0.733668 | − | 0.679508i | \(-0.237807\pi\) | |||||||
\(462\) | −16571.2 | + | 2717.49i | −1.66875 | + | 0.273656i | ||||
\(463\) | −1423.09 | − | 1208.78i | −0.142843 | − | 0.121332i | 0.573116 | − | 0.819474i | \(-0.305734\pi\) |
−0.715959 | + | 0.698142i | \(0.754010\pi\) | |||||||
\(464\) | 17420.4 | + | 2855.93i | 1.74293 | + | 0.285739i | ||||
\(465\) | 1636.25 | − | 3537.13i | 0.163182 | − | 0.352754i | ||||
\(466\) | −7603.22 | − | 19082.7i | −0.755821 | − | 1.89697i | ||||
\(467\) | −6760.48 | − | 2277.87i | −0.669888 | − | 0.225712i | −0.0362518 | − | 0.999343i | \(-0.511542\pi\) |
−0.633636 | + | 0.773631i | \(0.718438\pi\) | |||||||
\(468\) | −11728.8 | − | 7950.75i | −1.15847 | − | 0.785307i | ||||
\(469\) | 5047.91 | + | 10910.9i | 0.496996 | + | 1.07424i | ||||
\(470\) | −15707.1 | − | 851.615i | −1.54152 | − | 0.0835788i | ||||
\(471\) | −9353.86 | + | 5628.62i | −0.915081 | + | 0.550643i | ||||
\(472\) | −555.646 | + | 38.9545i | −0.0541858 | + | 0.00379879i | ||||
\(473\) | − | 4882.34i | − | 0.474609i | ||||||
\(474\) | 7181.62 | − | 3807.87i | 0.695913 | − | 0.368990i | ||||
\(475\) | −4664.81 | + | 2158.17i | −0.450603 | + | 0.208471i | ||||
\(476\) | −1067.74 | + | 9817.71i | −0.102815 | + | 0.945366i | ||||
\(477\) | −853.121 | − | 900.464i | −0.0818904 | − | 0.0864348i | ||||
\(478\) | −11179.6 | + | 4454.34i | −1.06975 | + | 0.426228i | ||||
\(479\) | −7974.35 | + | 5406.74i | −0.760662 | + | 0.515742i | −0.878762 | − | 0.477260i | \(-0.841630\pi\) |
0.118100 | + | 0.993002i | \(0.462320\pi\) | |||||||
\(480\) | 7437.02 | + | 18663.0i | 0.707192 | + | 1.77468i | ||||
\(481\) | 12118.4 | − | 14266.8i | 1.14875 | − | 1.35242i | ||||
\(482\) | −282.670 | + | 709.449i | −0.0267122 | + | 0.0670425i | ||||
\(483\) | 6333.92 | + | 6686.03i | 0.596695 | + | 0.629865i | ||||
\(484\) | −9264.53 | + | 3121.59i | −0.870073 | + | 0.293162i | ||||
\(485\) | −9003.62 | − | 10599.9i | −0.842956 | − | 0.992404i | ||||
\(486\) | −1625.66 | − | 14916.0i | −0.151732 | − | 1.39219i | ||||
\(487\) | −1607.63 | + | 174.840i | −0.149587 | + | 0.0162685i | −0.182606 | − | 0.983186i | \(-0.558453\pi\) |
0.0330192 | + | 0.999455i | \(0.489488\pi\) | |||||||
\(488\) | 129.204 | − | 586.978i | 0.0119852 | − | 0.0544493i | ||||
\(489\) | 6928.86 | + | 375.354i | 0.640764 | + | 0.0347119i | ||||
\(490\) | −3628.52 | + | 3830.58i | −0.334530 | + | 0.353159i | ||||
\(491\) | −10777.9 | − | 5714.07i | −0.990630 | − | 0.525199i | −0.107439 | − | 0.994212i | \(-0.534265\pi\) |
−0.883191 | + | 0.469013i | \(0.844610\pi\) | |||||||
\(492\) | −4476.27 | + | 487.031i | −0.410175 | + | 0.0446282i | ||||
\(493\) | 18296.1 | + | 11008.4i | 1.67143 | + | 1.00567i | ||||
\(494\) | 12659.1 | − | 2075.35i | 1.15295 | − | 0.189017i | ||||
\(495\) | −20271.2 | + | 5630.27i | −1.84065 | + | 0.511236i | ||||
\(496\) | 3140.93 | − | 872.075i | 0.284339 | − | 0.0789462i | ||||
\(497\) | −8191.61 | + | 10775.9i | −0.739324 | + | 0.972564i | ||||
\(498\) | −13586.4 | − | 5412.59i | −1.22253 | − | 0.487036i | ||||
\(499\) | 219.919 | − | 792.077i | 0.0197293 | − | 0.0710586i | −0.953030 | − | 0.302876i | \(-0.902053\pi\) |
0.972759 | + | 0.231817i | \(0.0744671\pi\) | |||||||
\(500\) | 1731.61 | − | 918.042i | 0.154880 | − | 0.0821122i | ||||
\(501\) | −6810.26 | − | 10043.4i | −0.607305 | − | 0.895620i | ||||
\(502\) | −10049.1 | + | 544.847i | −0.893454 | + | 0.0484417i | ||||
\(503\) | −6180.26 | − | 11657.2i | −0.547841 | − | 1.03334i | −0.990612 | − | 0.136703i | \(-0.956349\pi\) |
0.442771 | − | 0.896635i | \(-0.353995\pi\) | |||||||
\(504\) | −385.358 | − | 364.964i | −0.0340580 | − | 0.0322555i | ||||
\(505\) | −6148.25 | − | 8087.88i | −0.541769 | − | 0.712685i | ||||
\(506\) | 17827.1 | + | 13551.8i | 1.56623 | + | 1.19062i | ||||
\(507\) | 8792.63 | − | 9283.12i | 0.770206 | − | 0.813171i | ||||
\(508\) | 9291.08 | − | 8800.98i | 0.811466 | − | 0.768662i | ||||
\(509\) | −260.132 | − | 1586.74i | −0.0226526 | − | 0.138174i | 0.973079 | − | 0.230472i | \(-0.0740271\pi\) |
−0.995731 | + | 0.0922978i | \(0.970579\pi\) | |||||||
\(510\) | 1.15349 | + | 25244.7i | 0.000100151 | + | 2.19187i | ||||
\(511\) | 2165.00 | − | 4679.57i | 0.187425 | − | 0.405112i | ||||
\(512\) | −7565.34 | + | 14269.7i | −0.653016 | + | 1.23172i | ||||
\(513\) | 5074.71 | + | 4309.30i | 0.436752 | + | 0.370878i | ||||
\(514\) | 8564.96 | + | 5807.19i | 0.734989 | + | 0.498335i | ||||
\(515\) | 16296.4 | + | 3587.10i | 1.39437 | + | 0.306925i | ||||
\(516\) | −3044.28 | + | 2314.42i | −0.259723 | + | 0.197455i | ||||
\(517\) | 11364.4 | − | 6837.74i | 0.966744 | − | 0.581670i | ||||
\(518\) | −13243.2 | + | 11248.9i | −1.12331 | + | 0.954146i | ||||
\(519\) | 3203.61 | + | 2720.92i | 0.270950 | + | 0.230126i | ||||
\(520\) | −1251.32 | + | 275.436i | −0.105527 | + | 0.0232282i | ||||
\(521\) | 17382.1 | + | 6925.65i | 1.46166 | + | 0.582377i | 0.959326 | − | 0.282300i | \(-0.0910973\pi\) |
0.502329 | + | 0.864677i | \(0.332477\pi\) | |||||||
\(522\) | 26418.0 | − | 10528.7i | 2.21510 | − | 0.882813i | ||||
\(523\) | −3628.34 | + | 22131.9i | −0.303358 | + | 1.85040i | 0.191586 | + | 0.981476i | \(0.438637\pi\) |
−0.494944 | + | 0.868925i | \(0.664811\pi\) | |||||||
\(524\) | 8236.83 | + | 12148.4i | 0.686694 | + | 1.01280i | ||||
\(525\) | 5447.08 | − | 7166.19i | 0.452819 | − | 0.595730i | ||||
\(526\) | 4172.38 | − | 12383.2i | 0.345864 | − | 1.02649i | ||||
\(527\) | 3919.80 | + | 426.304i | 0.324002 | + | 0.0352374i | ||||
\(528\) | −14565.4 | − | 9874.61i | −1.20053 | − | 0.813897i | ||||
\(529\) | 6.20395 | − | 114.425i | 0.000509900 | − | 0.00940455i | ||||
\(530\) | 2779.61 | 0.227808 | ||||||||
\(531\) | −10017.1 | + | 7027.06i | −0.818651 | + | 0.574291i | ||||
\(532\) | −5836.08 | −0.475613 | ||||||||
\(533\) | 416.367 | − | 7679.43i | 0.0338365 | − | 0.624077i | ||||
\(534\) | 25845.4 | + | 17521.9i | 2.09446 | + | 1.41994i | ||||
\(535\) | −7391.44 | − | 803.868i | −0.597308 | − | 0.0649612i | ||||
\(536\) | −294.998 | + | 875.524i | −0.0237724 | + | 0.0705539i | ||||
\(537\) | 11809.5 | − | 15536.6i | 0.949006 | − | 1.24851i | ||||
\(538\) | 12891.6 | + | 19013.7i | 1.03308 | + | 1.52368i | ||||
\(539\) | 719.724 | − | 4390.12i | 0.0575152 | − | 0.350827i | ||||
\(540\) | 13120.0 | + | 9970.74i | 1.04555 | + | 0.794579i | ||||
\(541\) | −12218.7 | − | 4868.37i | −0.971020 | − | 0.386890i | −0.169945 | − | 0.985454i | \(-0.554359\pi\) |
−0.801075 | + | 0.598564i | \(0.795738\pi\) | |||||||
\(542\) | −21595.0 | + | 4753.41i | −1.71141 | + | 0.376709i | ||||
\(543\) | 10425.9 | + | 8855.05i | 0.823977 | + | 0.699828i | ||||
\(544\) | −15491.4 | + | 13158.5i | −1.22094 | + | 1.03707i | ||||
\(545\) | 10794.6 | − | 6494.92i | 0.848425 | − | 0.510480i | ||||
\(546\) | −17884.1 | + | 13596.5i | −1.40178 | + | 1.06570i | ||||
\(547\) | 9562.46 | + | 2104.86i | 0.747461 | + | 0.164529i | 0.572338 | − | 0.820018i | \(-0.306037\pi\) |
0.175123 | + | 0.984547i | \(0.443968\pi\) | |||||||
\(548\) | 16222.9 | + | 10999.4i | 1.26461 | + | 0.857428i | ||||
\(549\) | −4216.90 | − | 12511.5i | −0.327820 | − | 0.972640i | ||||
\(550\) | 10251.8 | − | 19336.9i | 0.794794 | − | 1.49914i | ||||
\(551\) | −5298.37 | + | 11452.2i | −0.409652 | + | 0.885448i | ||||
\(552\) | 0.0323398 | + | 707.774i | 2.49361e−6 | + | 0.0545740i | ||||
\(553\) | −1021.89 | − | 6233.27i | −0.0785810 | − | 0.479323i | ||||
\(554\) | −13606.1 | + | 12888.4i | −1.04344 | + | 0.988403i | ||||
\(555\) | −14970.1 | + | 15805.2i | −1.14495 | + | 1.20882i | ||||
\(556\) | 1843.36 | + | 1401.28i | 0.140604 | + | 0.106884i | ||||
\(557\) | 11593.9 | + | 15251.5i | 0.881957 | + | 1.16019i | 0.986186 | + | 0.165641i | \(0.0529692\pi\) |
−0.104230 | + | 0.994553i | \(0.533238\pi\) | |||||||
\(558\) | 3611.06 | − | 3812.85i | 0.273958 | − | 0.289267i | ||||
\(559\) | −3059.54 | − | 5770.90i | −0.231493 | − | 0.436642i | ||||
\(560\) | 16194.0 | − | 878.013i | 1.22200 | − | 0.0662550i | ||||
\(561\) | −11945.7 | − | 17616.9i | −0.899016 | − | 1.32582i | ||||
\(562\) | 6809.62 | − | 3610.23i | 0.511115 | − | 0.270976i | ||||
\(563\) | 849.855 | − | 3060.90i | 0.0636184 | − | 0.229133i | −0.924906 | − | 0.380197i | \(-0.875856\pi\) |
0.988524 | + | 0.151064i | \(0.0482700\pi\) | |||||||
\(564\) | −9650.73 | − | 3844.69i | −0.720513 | − | 0.287040i | ||||
\(565\) | 17419.5 | − | 22914.9i | 1.29707 | − | 1.70626i | ||||
\(566\) | 16363.3 | − | 4543.25i | 1.21520 | − | 0.337398i | ||||
\(567\) | −11387.1 | − | 2504.32i | −0.843413 | − | 0.185488i | ||||
\(568\) | −1026.53 | + | 168.291i | −0.0758312 | + | 0.0124319i | ||||
\(569\) | −11410.0 | − | 6865.18i | −0.840655 | − | 0.505805i | 0.0289340 | − | 0.999581i | \(-0.490789\pi\) |
−0.869589 | + | 0.493776i | \(0.835616\pi\) | |||||||
\(570\) | −14831.0 | + | 1613.66i | −1.08983 | + | 0.118577i | ||||
\(571\) | 4804.76 | + | 2547.32i | 0.352141 | + | 0.186694i | 0.635084 | − | 0.772443i | \(-0.280966\pi\) |
−0.282942 | + | 0.959137i | \(0.591310\pi\) | |||||||
\(572\) | −18411.0 | + | 19436.2i | −1.34581 | + | 1.42075i | ||||
\(573\) | 16605.4 | + | 899.555i | 1.21064 | + | 0.0655837i | ||||
\(574\) | −1534.66 | + | 6972.01i | −0.111595 | + | 0.506979i | ||||
\(575\) | −11933.2 | + | 1297.82i | −0.865478 | + | 0.0941264i | ||||
\(576\) | 690.438 | + | 12712.9i | 0.0499449 | + | 0.919624i | ||||
\(577\) | −10558.8 | − | 12430.7i | −0.761815 | − | 0.896878i | 0.235366 | − | 0.971907i | \(-0.424371\pi\) |
−0.997181 | + | 0.0750285i | \(0.976095\pi\) | |||||||
\(578\) | −5761.63 | + | 1941.32i | −0.414623 | + | 0.139703i | ||||
\(579\) | 8289.98 | + | 8750.83i | 0.595026 | + | 0.628104i | ||||
\(580\) | −11560.7 | + | 29015.1i | −0.827640 | + | 2.07722i | ||||
\(581\) | −7357.15 | + | 8661.51i | −0.525346 | + | 0.618485i | ||||
\(582\) | −6937.24 | − | 17408.8i | −0.494086 | − | 1.23990i | ||||
\(583\) | −1939.80 | + | 1315.21i | −0.137801 | + | 0.0934316i | ||||
\(584\) | 368.103 | − | 146.666i | 0.0260826 | − | 0.0103922i | ||||
\(585\) | −20432.3 | + | 19358.0i | −1.44405 | + | 1.36813i | ||||
\(586\) | 1026.64 | − | 9439.81i | 0.0723723 | − | 0.665452i | ||||
\(587\) | 18485.0 | − | 8552.08i | 1.29976 | − | 0.601332i | 0.356781 | − | 0.934188i | \(-0.383874\pi\) |
0.942978 | + | 0.332856i | \(0.108012\pi\) | |||||||
\(588\) | −3078.55 | + | 1632.33i | −0.215914 | + | 0.114483i | ||||
\(589\) | 2330.10i | 0.163005i | ||||||||
\(590\) | 4007.16 | − | 27124.9i | 0.279614 | − | 1.89273i | ||||
\(591\) | 4324.18 | − | 2602.04i | 0.300970 | − | 0.181106i | ||||
\(592\) | −18181.7 | − | 985.783i | −1.26227 | − | 0.0684382i | ||||
\(593\) | 2239.57 | + | 4840.76i | 0.155090 | + | 0.335221i | 0.969509 | − | 0.245056i | \(-0.0788063\pi\) |
−0.814419 | + | 0.580277i | \(0.802944\pi\) | |||||||
\(594\) | −28307.5 | − | 1530.90i | −1.95534 | − | 0.105747i | ||||
\(595\) | 18589.8 | + | 6263.62i | 1.28085 | + | 0.431569i | ||||
\(596\) | −9263.95 | − | 23250.8i | −0.636688 | − | 1.59797i | ||||
\(597\) | −84.9304 | + | 183.596i | −0.00582239 | + | 0.0125864i | ||||
\(598\) | 29563.9 | + | 4846.75i | 2.02167 | + | 0.331436i | ||||
\(599\) | 4300.48 | + | 3652.86i | 0.293344 | + | 0.249169i | 0.781958 | − | 0.623332i | \(-0.214221\pi\) |
−0.488614 | + | 0.872500i | \(0.662497\pi\) | |||||||
\(600\) | 682.635 | − | 111.944i | 0.0464474 | − | 0.00761684i | ||||
\(601\) | 3705.48 | + | 16834.2i | 0.251497 | + | 1.14256i | 0.917851 | + | 0.396926i | \(0.129923\pi\) |
−0.666354 | + | 0.745636i | \(0.732146\pi\) | |||||||
\(602\) | 1935.96 | + | 5745.74i | 0.131070 | + | 0.389001i | ||||
\(603\) | 4364.72 | + | 19820.5i | 0.294768 | + | 1.33856i | ||||
\(604\) | −7592.65 | − | 12619.1i | −0.511491 | − | 0.850104i | ||||
\(605\) | 2099.60 | + | 19305.5i | 0.141092 | + | 1.29732i | ||||
\(606\) | −4371.69 | − | 12972.8i | −0.293049 | − | 0.869608i | ||||
\(607\) | 9656.62 | − | 14242.4i | 0.645717 | − | 0.952361i | −0.354136 | − | 0.935194i | \(-0.615225\pi\) |
0.999853 | − | 0.0171670i | \(-0.00546468\pi\) | |||||||
\(608\) | −8720.38 | − | 8260.38i | −0.581674 | − | 0.550991i | ||||
\(609\) | −1197.41 | − | 22066.2i | −0.0796737 | − | 1.46825i | ||||
\(610\) | 26851.7 | + | 12422.9i | 1.78228 | + | 0.824571i | ||||
\(611\) | 9147.79 | − | 15203.7i | 0.605695 | − | 1.00667i | ||||
\(612\) | −5321.90 | + | 15799.6i | −0.351511 | + | 1.04356i | ||||
\(613\) | −7001.54 | − | 7391.43i | −0.461320 | − | 0.487010i | 0.453280 | − | 0.891368i | \(-0.350254\pi\) |
−0.914601 | + | 0.404358i | \(0.867495\pi\) | |||||||
\(614\) | −1.21525 | − | 4.37692i | −7.98752e−5 | − | 0.000287684i | ||||
\(615\) | −966.612 | + | 8891.63i | −0.0633782 | + | 0.583001i | ||||
\(616\) | −798.318 | + | 606.865i | −0.0522161 | + | 0.0396937i | ||||
\(617\) | 3000.69 | + | 833.136i | 0.195791 | + | 0.0543611i | 0.364039 | − | 0.931384i | \(-0.381397\pi\) |
−0.168249 | + | 0.985745i | \(0.553811\pi\) | |||||||
\(618\) | 19266.6 | + | 11591.1i | 1.25407 | + | 0.754470i | ||||
\(619\) | 180.827 | + | 3335.17i | 0.0117416 | + | 0.216562i | 0.998516 | + | 0.0544611i | \(0.0173441\pi\) |
−0.986774 | + | 0.162100i | \(0.948173\pi\) | |||||||
\(620\) | 312.246 | + | 5759.03i | 0.0202259 | + | 0.373045i | ||||
\(621\) | 8017.63 | + | 13321.3i | 0.518094 | + | 0.860812i | ||||
\(622\) | −4004.14 | − | 1111.74i | −0.258121 | − | 0.0716670i | ||||
\(623\) | 19316.2 | − | 14683.8i | 1.24219 | − | 0.944290i | ||||
\(624\) | −23404.2 | − | 2544.28i | −1.50147 | − | 0.163225i | ||||
\(625\) | −4663.65 | − | 16796.9i | −0.298473 | − | 1.07500i | ||||
\(626\) | −7438.97 | − | 7853.23i | −0.474954 | − | 0.501403i | ||||
\(627\) | 9586.56 | − | 8143.66i | 0.610607 | − | 0.518702i | ||||
\(628\) | 8329.07 | − | 13843.0i | 0.529245 | − | 0.879612i | ||||
\(629\) | −19988.8 | − | 9247.82i | −1.26710 | − | 0.586224i | ||||
\(630\) | 21623.5 | − | 14664.0i | 1.36746 | − | 0.927344i | ||||
\(631\) | 17089.4 | + | 16187.9i | 1.07816 | + | 1.02129i | 0.999703 | + | 0.0243681i | \(0.00775738\pi\) |
0.0784552 | + | 0.996918i | \(0.475001\pi\) | |||||||
\(632\) | 272.411 | − | 401.776i | 0.0171454 | − | 0.0252876i | ||||
\(633\) | 14534.1 | − | 4897.86i | 0.912606 | − | 0.307539i | ||||
\(634\) | −1997.94 | − | 18370.8i | −0.125155 | − | 1.15078i | ||||
\(635\) | −13105.9 | − | 21782.2i | −0.819042 | − | 1.36126i | ||||
\(636\) | 1739.62 | + | 586.057i | 0.108460 | + | 0.0365388i | ||||
\(637\) | −1900.38 | − | 5640.12i | −0.118204 | − | 0.350816i | ||||
\(638\) | −11550.7 | − | 52475.4i | −0.716766 | − | 3.25630i | ||||
\(639\) | −17414.9 | + | 14795.1i | −1.07813 | + | 0.915941i | ||||
\(640\) | 1830.15 | + | 1554.54i | 0.113036 | + | 0.0960134i | ||||
\(641\) | 11142.4 | + | 1826.70i | 0.686580 | + | 0.112559i | 0.494967 | − | 0.868912i | \(-0.335180\pi\) |
0.191613 | + | 0.981471i | \(0.438628\pi\) | |||||||
\(642\) | −9092.72 | − | 4206.23i | −0.558973 | − | 0.258578i | ||||
\(643\) | −10772.4 | − | 27036.6i | −0.660685 | − | 1.65819i | −0.749384 | − | 0.662136i | \(-0.769650\pi\) |
0.0886992 | − | 0.996058i | \(-0.471729\pi\) | |||||||
\(644\) | −12916.1 | − | 4351.93i | −0.790317 | − | 0.266289i | ||||
\(645\) | 3189.88 | + | 6893.99i | 0.194731 | + | 0.420854i | ||||
\(646\) | −6337.53 | − | 13698.3i | −0.385986 | − | 0.834294i | ||||
\(647\) | 2243.59 | + | 121.644i | 0.136329 | + | 0.00739152i | 0.122177 | − | 0.992508i | \(-0.461012\pi\) |
0.0141517 | + | 0.999900i | \(0.495495\pi\) | |||||||
\(648\) | −502.965 | − | 741.525i | −0.0304912 | − | 0.0449535i | ||||
\(649\) | 10038.1 | + | 20825.6i | 0.607132 | + | 1.25959i | ||||
\(650\) | − | 29280.4i | − | 1.76688i | ||||||
\(651\) | −1911.59 | − | 3605.25i | −0.115086 | − | 0.217052i | ||||
\(652\) | −9319.83 | + | 4311.81i | −0.559805 | + | 0.258993i | ||||
\(653\) | −2461.67 | + | 22634.7i | −0.147523 | + | 1.35645i | 0.653094 | + | 0.757277i | \(0.273471\pi\) |
−0.800617 | + | 0.599176i | \(0.795495\pi\) | |||||||
\(654\) | 16578.3 | − | 3649.96i | 0.991228 | − | 0.218233i | ||||
\(655\) | 27084.3 | − | 10791.4i | 1.61568 | − | 0.643747i | ||||
\(656\) | −6191.92 | + | 4198.22i | −0.368527 | + | 0.249867i | ||||
\(657\) | 5267.10 | − | 6930.07i | 0.312769 | − | 0.411518i | ||||
\(658\) | −10662.8 | + | 12553.2i | −0.631731 | + | 0.743731i | ||||
\(659\) | −11581.9 | + | 29068.3i | −0.684622 | + | 1.71827i | 0.0110757 | + | 0.999939i | \(0.496474\pi\) |
−0.695698 | + | 0.718334i | \(0.744905\pi\) | |||||||
\(660\) | 22602.7 | − | 21412.3i | 1.33304 | − | 1.26284i | ||||
\(661\) | −11265.8 | + | 3795.90i | −0.662920 | + | 0.223364i | −0.630593 | − | 0.776114i | \(-0.717188\pi\) |
−0.0323269 | + | 0.999477i | \(0.510292\pi\) | |||||||
\(662\) | −25685.4 | − | 30239.2i | −1.50799 | − | 1.77535i | ||||
\(663\) | −25159.4 | − | 13337.2i | −1.47377 | − | 0.781259i | ||||
\(664\) | −868.228 | + | 94.4255i | −0.0507437 | + | 0.00551871i | ||||
\(665\) | −2492.07 | + | 11321.6i | −0.145321 | + | 0.660200i | ||||
\(666\) | −25915.4 | + | 13742.5i | −1.50781 | + | 0.799566i | ||||
\(667\) | −20265.9 | + | 21394.4i | −1.17646 | + | 1.24197i | ||||
\(668\) | 15866.0 | + | 8411.61i | 0.918972 | + | 0.487208i | ||||
\(669\) | −575.001 | − | 5284.80i | −0.0332299 | − | 0.305414i | ||||
\(670\) | −38969.0 | − | 23446.9i | −2.24702 | − | 1.35199i | ||||
\(671\) | −24617.0 | + | 4035.75i | −1.41628 | + | 0.232188i | ||||
\(672\) | 20269.3 | + | 5626.75i | 1.16355 | + | 0.323001i | ||||
\(673\) | −31215.3 | + | 8666.90i | −1.78791 | + | 0.496411i | −0.993782 | − | 0.111341i | \(-0.964485\pi\) |
−0.794127 | + | 0.607751i | \(0.792072\pi\) | |||||||
\(674\) | 20423.1 | − | 26866.2i | 1.16717 | − | 1.53538i | ||||
\(675\) | 11580.5 | − | 9839.27i | 0.660344 | − | 0.561057i | ||||
\(676\) | −5062.19 | + | 18232.4i | −0.288017 | + | 1.03734i | ||||
\(677\) | 10911.0 | − | 5784.64i | 0.619414 | − | 0.328392i | −0.128980 | − | 0.991647i | \(-0.541170\pi\) |
0.748394 | + | 0.663255i | \(0.230825\pi\) | |||||||
\(678\) | 32101.6 | − | 21767.6i | 1.81837 | − | 1.23301i | ||||
\(679\) | −14540.9 | + | 788.383i | −0.821837 | + | 0.0445587i | ||||
\(680\) | 706.139 | + | 1331.92i | 0.0398223 | + | 0.0751129i | ||||
\(681\) | −9333.78 | + | 2591.97i | −0.525214 | + | 0.145851i | ||||
\(682\) | −6004.51 | − | 7898.80i | −0.337133 | − | 0.443491i | ||||
\(683\) | −3552.77 | − | 2700.74i | −0.199038 | − | 0.151305i | 0.500908 | − | 0.865501i | \(-0.332999\pi\) |
−0.699946 | + | 0.714196i | \(0.746793\pi\) | |||||||
\(684\) | −9622.23 | − | 2117.09i | −0.537888 | − | 0.118347i | ||||
\(685\) | 28265.4 | − | 26774.4i | 1.57659 | − | 1.49343i | ||||
\(686\) | 4409.20 | + | 26894.9i | 0.245399 | + | 1.49687i | ||||
\(687\) | 21028.4 | − | 0.960836i | 1.16781 | − | 5.33598e-5i | ||||
\(688\) | −2667.82 | + | 5766.40i | −0.147834 | + | 0.319538i | ||||
\(689\) | −1468.64 | + | 2770.16i | −0.0812060 | + | 0.153171i | ||||
\(690\) | −34026.5 | − | 7488.16i | −1.87734 | − | 0.413144i | ||||
\(691\) | −13159.3 | − | 8922.21i | −0.724461 | − | 0.491197i | 0.142361 | − | 0.989815i | \(-0.454531\pi\) |
−0.866822 | + | 0.498618i | \(0.833841\pi\) | |||||||
\(692\) | −6074.76 | − | 1337.16i | −0.333711 | − | 0.0734553i | ||||
\(693\) | −8151.82 | + | 20465.0i | −0.446843 | + | 1.12179i | ||||
\(694\) | −896.832 | + | 539.606i | −0.0490537 | + | 0.0295147i | ||||
\(695\) | 3505.53 | − | 2977.62i | 0.191327 | − | 0.162515i | ||||
\(696\) | 1099.38 | − | 1294.41i | 0.0598733 | − | 0.0704948i | ||||
\(697\) | −8837.24 | + | 1945.22i | −0.480250 | + | 0.105711i | ||||
\(698\) | −3888.96 | − | 1549.50i | −0.210887 | − | 0.0840252i | ||||
\(699\) | −26592.1 | − | 4358.30i | −1.43892 | − | 0.235831i | ||||
\(700\) | −2155.10 | + | 13145.5i | −0.116364 | + | 0.709792i | ||||
\(701\) | 11746.1 | + | 17324.2i | 0.632873 | + | 0.933418i | 0.999995 | + | 0.00324499i | \(0.00103291\pi\) |
−0.367122 | + | 0.930173i | \(0.619657\pi\) | |||||||
\(702\) | −34418.7 | + | 15929.5i | −1.85050 | + | 0.856439i | ||||
\(703\) | 4155.89 | − | 12334.2i | 0.222962 | − | 0.661727i | ||||
\(704\) | 23913.8 | + | 2600.79i | 1.28024 | + | 0.139234i | ||||
\(705\) | −11579.4 | + | 17080.0i | −0.618590 | + | 0.912442i | ||||
\(706\) | −2037.13 | + | 37572.6i | −0.108595 | + | 2.00292i | ||||
\(707\) | −10637.6 | −0.565868 | ||||||||
\(708\) | 8226.93 | − | 16131.2i | 0.436704 | − | 0.856282i | ||||
\(709\) | 28965.6 | 1.53431 | 0.767155 | − | 0.641462i | \(-0.221672\pi\) | ||||
0.767155 | + | 0.641462i | \(0.221672\pi\) | |||||||
\(710\) | 2772.25 | − | 51131.1i | 0.146536 | − | 2.70270i | ||||
\(711\) | 576.331 | − | 10647.8i | 0.0303996 | − | 0.561636i | ||||
\(712\) | 1853.72 | + | 201.605i | 0.0975719 | + | 0.0106116i | ||||
\(713\) | −1737.54 | + | 5156.84i | −0.0912643 | + | 0.270863i | ||||
\(714\) | 21043.7 | + | 15995.5i | 1.10300 | + | 0.838398i | ||||
\(715\) | 29843.3 | + | 44015.5i | 1.56094 | + | 2.30222i | ||||
\(716\) | −4672.34 | + | 28500.0i | −0.243873 | + | 1.48756i | ||||
\(717\) | −2553.31 | + | 15578.9i | −0.132992 | + | 0.811446i | ||||
\(718\) | 36841.9 | + | 14679.1i | 1.91494 | + | 0.762982i | ||||
\(719\) | 21254.7 | − | 4678.51i | 1.10246 | − | 0.242669i | 0.373773 | − | 0.927520i | \(-0.378064\pi\) |
0.728683 | + | 0.684851i | \(0.240133\pi\) | |||||||
\(720\) | 27018.3 | + | 4426.89i | 1.39849 | + | 0.229140i | ||||
\(721\) | 13316.4 | − | 11311.0i | 0.687833 | − | 0.584250i | ||||
\(722\) | −15636.9 | + | 9408.39i | −0.806017 | + | 0.484964i | ||||
\(723\) | 606.313 | + | 797.516i | 0.0311882 | + | 0.0410234i | ||||
\(724\) | −19769.9 | − | 4351.68i | −1.01484 | − | 0.223383i | ||||
\(725\) | 23839.1 | + | 16163.3i | 1.22119 | + | 0.827988i | ||||
\(726\) | −5623.96 | + | 25555.5i | −0.287500 | + | 1.30641i | ||||
\(727\) | −4230.08 | + | 7978.78i | −0.215798 | + | 0.407038i | −0.967651 | − | 0.252293i | \(-0.918815\pi\) |
0.751853 | + | 0.659331i | \(0.229160\pi\) | |||||||
\(728\) | −563.313 | + | 1217.58i | −0.0286782 | + | 0.0619870i | ||||
\(729\) | −17866.1 | − | 8259.78i | −0.907690 | − | 0.419640i | ||||
\(730\) | 3155.64 | + | 19248.5i | 0.159994 | + | 0.975919i | ||||
\(731\) | −5579.42 | + | 5285.11i | −0.282301 | + | 0.267410i | ||||
\(732\) | 14185.8 | + | 13436.3i | 0.716289 | + | 0.678443i | ||||
\(733\) | −22218.3 | − | 16889.9i | −1.11958 | − | 0.851083i | −0.129499 | − | 0.991580i | \(-0.541337\pi\) |
−0.990081 | + | 0.140497i | \(0.955130\pi\) | |||||||
\(734\) | 11423.6 | + | 15027.4i | 0.574456 | + | 0.755684i | ||||
\(735\) | 1852.02 | + | 6669.20i | 0.0929427 | + | 0.334690i | ||||
\(736\) | −13139.7 | − | 24784.1i | −0.658065 | − | 1.24124i | ||||
\(737\) | 38289.4 | − | 2075.99i | 1.91372 | − | 0.103759i | ||||
\(738\) | −5059.42 | + | 10938.4i | −0.252357 | + | 0.545593i | ||||
\(739\) | −30013.5 | + | 15912.2i | −1.49400 | + | 0.792068i | −0.997126 | − | 0.0757547i | \(-0.975863\pi\) |
−0.496873 | + | 0.867823i | \(0.665519\pi\) | |||||||
\(740\) | 8618.75 | − | 31041.9i | 0.428151 | − | 1.54206i | ||||
\(741\) | 6228.02 | − | 15633.2i | 0.308761 | − | 0.775035i | ||||
\(742\) | 1761.32 | − | 2316.97i | 0.0871429 | − | 0.114635i | ||||
\(743\) | −26601.5 | + | 7385.87i | −1.31348 | + | 0.364685i | −0.852500 | − | 0.522727i | \(-0.824915\pi\) |
−0.460977 | + | 0.887412i | \(0.652501\pi\) | |||||||
\(744\) | 83.8827 | − | 302.172i | 0.00413345 | − | 0.0148900i | ||||
\(745\) | −49060.7 | + | 8043.09i | −2.41268 | + | 0.395538i | ||||
\(746\) | 1693.61 | + | 1019.01i | 0.0831200 | + | 0.0500117i | ||||
\(747\) | −15272.1 | + | 11611.8i | −0.748029 | + | 0.568745i | ||||
\(748\) | 27830.1 | + | 14754.6i | 1.36039 | + | 0.721232i | ||||
\(749\) | −5353.71 | + | 5651.85i | −0.261176 | + | 0.275720i | ||||
\(750\) | 283.766 | − | 5238.19i | 0.0138156 | − | 0.255029i | ||||
\(751\) | 4836.53 | − | 21972.6i | 0.235003 | − | 1.06763i | −0.700318 | − | 0.713831i | \(-0.746959\pi\) |
0.935321 | − | 0.353799i | \(-0.115110\pi\) | |||||||
\(752\) | −17158.5 | + | 1866.10i | −0.832057 | + | 0.0904917i | ||||
\(753\) | −6183.40 | + | 11664.4i | −0.299250 | + | 0.564508i | ||||
\(754\) | −46536.8 | − | 54787.4i | −2.24771 | − | 2.64620i | ||||
\(755\) | −27722.3 | + | 9340.73i | −1.33632 | + | 0.450257i | ||||
\(756\) | 16624.8 | − | 4618.31i | 0.799787 | − | 0.222178i | ||||
\(757\) | −13046.2 | + | 32743.5i | −0.626383 | + | 1.57210i | 0.181906 | + | 0.983316i | \(0.441773\pi\) |
−0.808289 | + | 0.588786i | \(0.799606\pi\) | |||||||
\(758\) | 18367.8 | − | 21624.2i | 0.880143 | − | 1.03618i | ||||
\(759\) | 27289.1 | − | 10874.4i | 1.30505 | − | 0.520047i | ||||
\(760\) | −737.378 | + | 499.955i | −0.0351941 | + | 0.0238622i | ||||
\(761\) | −18132.2 | + | 7224.52i | −0.863720 | + | 0.344138i | −0.759571 | − | 0.650424i | \(-0.774591\pi\) |
−0.104149 | + | 0.994562i | \(0.533212\pi\) | |||||||
\(762\) | −7365.13 | − | 33452.9i | −0.350145 | − | 1.59038i | ||||
\(763\) | 1426.18 | − | 13113.5i | 0.0676688 | − | 0.622205i | ||||
\(764\) | −22335.5 | + | 10333.5i | −1.05768 | + | 0.489336i | ||||
\(765\) | 28377.6 | + | 17070.7i | 1.34117 | + | 0.806789i | ||||
\(766\) | − | 7709.53i | − | 0.363651i | ||||||
\(767\) | 24915.4 | + | 18325.3i | 1.17294 | + | 0.862698i | ||||
\(768\) | 11774.7 | + | 19567.7i | 0.553234 | + | 0.919387i | ||||
\(769\) | −19238.9 | − | 1043.10i | −0.902176 | − | 0.0489146i | −0.402788 | − | 0.915293i | \(-0.631959\pi\) |
−0.499388 | + | 0.866379i | \(0.666442\pi\) | |||||||
\(770\) | −20727.1 | − | 44800.9i | −0.970069 | − | 2.09677i | ||||
\(771\) | 12319.9 | − | 5700.47i | 0.575473 | − | 0.266274i | ||||
\(772\) | −16904.8 | − | 5695.90i | −0.788107 | − | 0.265544i | ||||
\(773\) | 13014.5 | + | 32663.9i | 0.605562 | + | 1.51985i | 0.837117 | + | 0.547024i | \(0.184239\pi\) |
−0.231556 | + | 0.972822i | \(0.574381\pi\) | |||||||
\(774\) | 1107.60 | + | 10175.6i | 0.0514365 | + | 0.472549i | ||||
\(775\) | 5248.45 | + | 860.440i | 0.243265 | + | 0.0398812i | ||||
\(776\) | −852.935 | − | 724.490i | −0.0394570 | − | 0.0335150i | ||||
\(777\) | 3688.69 | + | 22493.6i | 0.170310 | + | 1.03855i | ||||
\(778\) | 6031.13 | + | 27399.7i | 0.277926 | + | 1.26263i | ||||
\(779\) | −1707.46 | − | 5067.55i | −0.0785314 | − | 0.233073i | ||||
\(780\) | 13298.1 | − | 39473.3i | 0.610447 | − | 1.81201i | ||||
\(781\) | 22258.8 | + | 36994.4i | 1.01982 | + | 1.69496i | ||||
\(782\) | −3811.07 | − | 35042.2i | −0.174276 | − | 1.60244i | ||||
\(783\) | 6030.49 | − | 36816.0i | 0.275239 | − | 1.68033i | ||||
\(784\) | −3248.91 | + | 4791.79i | −0.148001 | + | 0.218285i | ||||
\(785\) | −23297.9 | − | 22068.9i | −1.05928 | − | 1.00341i | ||||
\(786\) | 39227.8 | − | 2128.67i | 1.78016 | − | 0.0965993i | ||||
\(787\) | −2848.10 | − | 1317.67i | −0.129001 | − | 0.0596823i | 0.354327 | − | 0.935122i | \(-0.384710\pi\) |
−0.483328 | + | 0.875439i | \(0.660572\pi\) | |||||||
\(788\) | −3850.43 | + | 6399.46i | −0.174068 | + | 0.289304i | ||||
\(789\) | −11098.0 | − | 13064.3i | −0.500758 | − | 0.589484i | ||||
\(790\) | 16432.6 | + | 17347.7i | 0.740060 | + | 0.781272i | ||||
\(791\) | −8063.02 | − | 29040.4i | −0.362437 | − | 1.30538i | ||||
\(792\) | −1536.37 | + | 710.971i | −0.0689300 | + | 0.0318981i | ||||
\(793\) | −26568.1 | + | 20196.5i | −1.18974 | + | 0.904414i | ||||
\(794\) | −32039.4 | − | 8895.69i | −1.43203 | − | 0.397602i | ||||
\(795\) | 1879.75 | − | 3124.49i | 0.0838588 | − | 0.139389i | ||||
\(796\) | −16.2072 | − | 298.925i | −0.000721671 | − | 0.0133104i | ||||
\(797\) | −1123.08 | − | 20714.0i | −0.0499142 | − | 0.920613i | −0.911065 | − | 0.412263i | \(-0.864738\pi\) |
0.861151 | − | 0.508350i | \(-0.169744\pi\) | |||||||
\(798\) | −8052.71 | + | 13385.1i | −0.357222 | + | 0.593769i | ||||
\(799\) | −20115.9 | − | 5585.17i | −0.890677 | − | 0.247295i | ||||
\(800\) | −21826.3 | + | 16592.0i | −0.964597 | + | 0.733268i | ||||
\(801\) | 37174.2 | − | 17202.7i | 1.63981 | − | 0.758837i | ||||
\(802\) | 6089.93 | + | 21933.9i | 0.268133 | + | 0.965728i | ||||
\(803\) | −11310.0 | − | 11939.8i | −0.497036 | − | 0.524714i | ||||
\(804\) | −19445.2 | − | 22890.5i | −0.852958 | − | 1.00409i | ||||
\(805\) | −13957.8 | + | 23198.0i | −0.611113 | + | 1.01568i | ||||
\(806\) | −12047.1 | − | 5573.59i | −0.526478 | − | 0.243575i | ||||
\(807\) | 30090.9 | − | 1632.86i | 1.31258 | − | 0.0712259i | ||||
\(808\) | −593.499 | − | 562.192i | −0.0258406 | − | 0.0244775i | ||||
\(809\) | −19383.7 | + | 28588.8i | −0.842390 | + | 1.24243i | 0.125760 | + | 0.992061i | \(0.459863\pi\) |
−0.968150 | + | 0.250371i | \(0.919447\pi\) | |||||||
\(810\) | 40971.2 | − | 16333.1i | 1.77726 | − | 0.708501i | ||||
\(811\) | 162.790 | + | 1496.83i | 0.00704848 | + | 0.0648097i | 0.997134 | − | 0.0756567i | \(-0.0241053\pi\) |
−0.990085 | + | 0.140466i | \(0.955140\pi\) | |||||||
\(812\) | 16860.4 | + | 28022.2i | 0.728674 | + | 1.21107i | ||||
\(813\) | −9260.69 | + | 27488.9i | −0.399492 | + | 1.18583i | ||||
\(814\) | 17696.4 | + | 52521.2i | 0.761990 | + | 2.26151i | ||||
\(815\) | 4384.95 | + | 19921.0i | 0.188464 | + | 0.856201i | ||||
\(816\) | 4482.50 | + | 27334.2i | 0.192303 | + | 1.17266i | ||||
\(817\) | −3461.47 | − | 2940.20i | −0.148227 | − | 0.125905i | ||||
\(818\) | 14442.5 | + | 2367.72i | 0.617321 | + | 0.101205i | ||||
\(819\) | 3189.04 | + | 29297.9i | 0.136061 | + | 1.25000i | ||||
\(820\) | −4899.19 | − | 12296.0i | −0.208643 | − | 0.523654i | ||||
\(821\) | 2827.58 | + | 952.723i | 0.120199 | + | 0.0404997i | 0.378758 | − | 0.925496i | \(-0.376351\pi\) |
−0.258559 | + | 0.965995i | \(0.583248\pi\) | |||||||
\(822\) | 47611.7 | − | 22030.2i | 2.02026 | − | 0.934782i | ||||
\(823\) | −1220.06 | − | 2637.12i | −0.0516753 | − | 0.111694i | 0.880018 | − | 0.474941i | \(-0.157530\pi\) |
−0.931693 | + | 0.363246i | \(0.881668\pi\) | |||||||
\(824\) | 1340.73 | + | 72.6924i | 0.0566828 | + | 0.00307325i | ||||
\(825\) | −14803.2 | − | 24600.5i | −0.624704 | − | 1.03816i | ||||
\(826\) | −20071.1 | − | 20528.1i | −0.845474 | − | 0.864725i | ||||
\(827\) | − | 22119.1i | − | 0.930057i | −0.885296 | − | 0.465029i | \(-0.846044\pi\) | ||
0.885296 | − | 0.465029i | \(-0.153956\pi\) | |||||||
\(828\) | −19716.6 | − | 11860.7i | −0.827537 | − | 0.497810i | ||||
\(829\) | 13342.5 | − | 6172.88i | 0.558990 | − | 0.258616i | −0.119988 | − | 0.992775i | \(-0.538285\pi\) |
0.678977 | + | 0.734159i | \(0.262423\pi\) | |||||||
\(830\) | 4648.17 | − | 42739.2i | 0.194386 | − | 1.78735i | ||||
\(831\) | 5286.20 | + | 24010.2i | 0.220669 | + | 1.00229i | ||||
\(832\) | 29895.8 | − | 11911.6i | 1.24574 | − | 0.496346i | ||||
\(833\) | −5796.03 | + | 3929.80i | −0.241081 | + | 0.163457i | ||||
\(834\) | 5757.34 | − | 2294.24i | 0.239041 | − | 0.0952554i | ||||
\(835\) | 23092.9 | − | 27187.1i | 0.957081 | − | 1.12676i | ||||
\(836\) | −6890.08 | + | 17292.8i | −0.285046 | + | 0.715411i | ||||
\(837\) | −1843.90 | − | 6637.59i | −0.0761463 | − | 0.274108i | ||||
\(838\) | 48098.1 | − | 16206.1i | 1.98272 | − | 0.668057i | ||||
\(839\) | 8877.83 | + | 10451.8i | 0.365312 | + | 0.430078i | 0.913853 | − | 0.406045i | \(-0.133092\pi\) |
−0.548541 | + | 0.836124i | \(0.684817\pi\) | |||||||
\(840\) | 730.749 | − | 1378.49i | 0.0300158 | − | 0.0566220i | ||||
\(841\) | 46049.3 | − | 5008.16i | 1.88812 | − | 0.205345i | ||||
\(842\) | −4968.79 | + | 22573.4i | −0.203368 | + | 0.923909i | ||||
\(843\) | 546.926 | − | 10096.0i | 0.0223453 | − | 0.412484i | ||||
\(844\) | −15608.9 | + | 16478.1i | −0.636589 | + | 0.672039i | ||||
\(845\) | 33207.9 | + | 17605.7i | 1.35194 | + | 0.716752i | ||||
\(846\) | −22134.0 | + | 16829.1i | −0.899509 | + | 0.683918i | ||||
\(847\) | 17422.8 | + | 10482.9i | 0.706793 | + | 0.425263i | ||||
\(848\) | 3009.71 | − | 493.416i | 0.121879 | − | 0.0199811i | ||||
\(849\) | 5958.95 | − | 21466.0i | 0.240884 | − | 0.867740i | ||||
\(850\) | −33195.2 | + | 9216.60i | −1.33951 | + | 0.371914i | ||||
\(851\) | 18395.1 | − | 24198.4i | 0.740983 | − | 0.974746i | ||||
\(852\) | 12515.6 | − | 31415.9i | 0.503258 | − | 1.26325i | ||||
\(853\) | 6137.47 | − | 22105.2i | 0.246357 | − | 0.887299i | −0.732160 | − | 0.681133i | \(-0.761487\pi\) |
0.978517 | − | 0.206166i | \(-0.0660987\pi\) | |||||||
\(854\) | 27370.0 | − | 14510.7i | 1.09670 | − | 0.581434i | ||||
\(855\) | −8215.82 | + | 17762.5i | −0.328626 | + | 0.710483i | ||||
\(856\) | −597.393 | + | 32.3897i | −0.0238534 | + | 0.00129329i | ||||
\(857\) | −17378.8 | − | 32779.8i | −0.692704 | − | 1.30658i | −0.941168 | − | 0.337938i | \(-0.890271\pi\) |
0.248464 | − | 0.968641i | \(-0.420074\pi\) | |||||||
\(858\) | 19173.4 | + | 69044.1i | 0.762901 | + | 2.74723i | ||||
\(859\) | −11030.9 | − | 14510.9i | −0.438149 | − | 0.576375i | 0.523025 | − | 0.852317i | \(-0.324803\pi\) |
−0.961174 | + | 0.275942i | \(0.911010\pi\) | |||||||
\(860\) | −8949.29 | − | 6803.07i | −0.354847 | − | 0.269748i | ||||
\(861\) | 6799.22 | + | 6439.98i | 0.269125 | + | 0.254906i | ||||
\(862\) | −11888.3 | + | 11261.2i | −0.469743 | + | 0.444964i | ||||
\(863\) | 2830.79 | + | 17267.1i | 0.111659 | + | 0.681087i | 0.982035 | + | 0.188700i | \(0.0604273\pi\) |
−0.870376 | + | 0.492387i | \(0.836124\pi\) | |||||||
\(864\) | 31377.8 | + | 16630.0i | 1.23553 | + | 0.654818i | ||||
\(865\) | −5187.98 | + | 11213.6i | −0.203927 | + | 0.440781i | ||||
\(866\) | −16099.7 | + | 30367.3i | −0.631745 | + | 1.19160i | ||||
\(867\) | −1714.19 | + | 7789.34i | −0.0671476 | + | 0.305121i | ||||
\(868\) | 4998.36 | + | 3388.97i | 0.195456 | + | 0.132522i | ||||
\(869\) | −19676.1 | − | 4331.04i | −0.768086 | − | 0.169069i | ||||
\(870\) | 50594.8 | + | 66550.0i | 1.97164 | + | 2.59340i | ||||
\(871\) | 43957.0 | − | 26448.0i | 1.71002 | − | 1.02888i | ||||
\(872\) | 772.613 | − | 656.263i | 0.0300046 | − | 0.0254861i | ||||
\(873\) | −24260.2 | − | 3974.99i | −0.940532 | − | 0.154104i | ||||
\(874\) | 20343.6 | − | 4477.97i | 0.787338 | − | 0.173306i | ||||
\(875\) | −3786.84 | − | 1508.82i | −0.146307 | − | 0.0582941i | ||||
\(876\) | −2083.44 | + | 12712.0i | −0.0803571 | + | 0.490297i | ||||
\(877\) | 5507.21 | − | 33592.5i | 0.212047 | − | 1.29343i | −0.639353 | − | 0.768913i | \(-0.720798\pi\) |
0.851400 | − | 0.524516i | \(-0.175754\pi\) | |||||||
\(878\) | 5174.08 | + | 7631.20i | 0.198880 | + | 0.293326i | ||||
\(879\) | −9916.77 | − | 7537.82i | −0.380528 | − | 0.289243i | ||||
\(880\) | 16517.0 | − | 49020.7i | 0.632713 | − | 1.87783i | ||||
\(881\) | 4622.11 | + | 502.685i | 0.176757 | + | 0.0192235i | 0.196069 | − | 0.980590i | \(-0.437182\pi\) |
−0.0193124 | + | 0.999813i | \(0.506148\pi\) | |||||||
\(882\) | −504.082 | + | 9312.99i | −0.0192441 | + | 0.355538i | ||||
\(883\) | 499.480 | − | 9212.36i | 0.0190361 | − | 0.351099i | −0.973463 | − | 0.228845i | \(-0.926505\pi\) |
0.992499 | − | 0.122254i | \(-0.0390123\pi\) | |||||||
\(884\) | 42141.1 | 1.60335 | ||||||||
\(885\) | −27780.5 | − | 22847.9i | −1.05517 | − | 0.867823i | ||||
\(886\) | 23355.0 | 0.885583 | ||||||||
\(887\) | 1090.16 | − | 20106.9i | 0.0412673 | − | 0.761130i | −0.902534 | − | 0.430618i | \(-0.858296\pi\) |
0.943802 | − | 0.330512i | \(-0.107222\pi\) | |||||||
\(888\) | −982.970 | + | 1449.91i | −0.0371467 | + | 0.0547927i | ||||
\(889\) | −26461.4 | − | 2877.85i | −0.998299 | − | 0.108572i | ||||
\(890\) | −29308.4 | + | 86984.1i | −1.10384 | + | 3.27608i | ||||
\(891\) | −20864.2 | + | 30784.4i | −0.784484 | + | 1.15748i | ||||
\(892\) | 4414.88 | + | 6511.47i | 0.165719 | + | 0.244417i | ||||
\(893\) | 1995.97 | − | 12174.9i | 0.0747958 | − | 0.456234i | ||||
\(894\) | −66108.3 | − | 10834.8i | −2.47315 | − | 0.405336i | ||||
\(895\) | 53292.9 | + | 21233.8i | 1.99037 | + | 0.793038i | ||||
\(896\) | 2455.49 | − | 540.494i | 0.0915538 | − | 0.0201525i | ||||
\(897\) | 25441.1 | − | 29954.3i | 0.946993 | − | 1.11499i | ||||
\(898\) | −5429.49 | + | 4611.85i | −0.201764 | + | 0.171380i | ||||
\(899\) | 11188.1 | − | 6731.64i | 0.415065 | − | 0.249736i | ||||
\(900\) | −8321.88 | + | 20891.9i | −0.308218 | + | 0.773774i | ||||
\(901\) | 3602.82 | + | 793.040i | 0.133216 | + | 0.0293230i | ||||
\(902\) | 18846.8 | + | 12778.5i | 0.695710 | + | 0.471703i | ||||
\(903\) | 7767.85 | + | 1709.46i | 0.286266 | + | 0.0629982i | ||||
\(904\) | 1084.91 | − | 2046.36i | 0.0399155 | − | 0.0752885i | ||||
\(905\) | −16883.9 | + | 36494.0i | −0.620156 | + | 1.34045i | ||||
\(906\) | −39418.4 | + | 1.80112i | −1.44546 | + | 6.60465e-5i | ||||
\(907\) | −2526.23 | − | 15409.3i | −0.0924830 | − | 0.564121i | −0.991899 | − | 0.127028i | \(-0.959456\pi\) |
0.899416 | − | 0.437093i | \(-0.143992\pi\) | |||||||
\(908\) | 10407.6 | − | 9858.59i | 0.380383 | − | 0.360318i | ||||
\(909\) | −17538.8 | − | 3858.89i | −0.639960 | − | 0.140805i | ||||
\(910\) | −52574.0 | − | 39965.7i | −1.91518 | − | 1.45588i | ||||
\(911\) | −31624.1 | − | 41600.8i | −1.15011 | − | 1.51295i | −0.823069 | − | 0.567941i | \(-0.807740\pi\) |
−0.327045 | − | 0.945009i | \(-0.606053\pi\) | |||||||
\(912\) | −15772.3 | + | 4379.94i | −0.572669 | + | 0.159029i | ||||
\(913\) | 16978.9 | + | 32025.6i | 0.615465 | + | 1.16089i | ||||
\(914\) | −48174.2 | + | 2611.93i | −1.74339 | + | 0.0945241i | ||||
\(915\) | 32123.0 | − | 21782.1i | 1.16061 | − | 0.786988i | ||||
\(916\) | −27494.5 | + | 14576.7i | −0.991752 | + | 0.525794i | ||||
\(917\) | 8166.89 | − | 29414.5i | 0.294105 | − | 1.05927i | ||||
\(918\) | 28893.3 | + | 34006.3i | 1.03880 | + | 1.22263i | ||||
\(919\) | 9208.46 | − | 12113.5i | 0.330532 | − | 0.434808i | −0.600567 | − | 0.799575i | \(-0.705058\pi\) |
0.931099 | + | 0.364767i | \(0.118851\pi\) | |||||||
\(920\) | −2004.73 | + | 556.612i | −0.0718415 | + | 0.0199467i | ||||
\(921\) | −5.74181 | − | 1.59392i | −0.000205428 | − | 5.70267e-5i | ||||
\(922\) | 39147.0 | − | 6417.82i | 1.39831 | − | 0.229240i | ||||
\(923\) | 49492.5 | + | 29778.6i | 1.76497 | + | 1.06195i | ||||
\(924\) | −3526.17 | − | 32408.8i | −0.125544 | − | 1.15386i | ||||
\(925\) | −26247.7 | − | 13915.6i | −0.932993 | − | 0.494642i | ||||
\(926\) | 5086.16 | − | 5369.39i | 0.180498 | − | 0.190550i | ||||
\(927\) | 26058.5 | − | 13818.4i | 0.923273 | − | 0.489596i | ||||
\(928\) | −14469.5 | + | 65735.4i | −0.511835 | + | 2.32529i | ||||
\(929\) | −26943.8 | + | 2930.32i | −0.951559 | + | 0.103488i | −0.570713 | − | 0.821150i | \(-0.693333\pi\) |
−0.380847 | + | 0.924638i | \(0.624367\pi\) | |||||||
\(930\) | 13639.2 | + | 7230.26i | 0.480911 | + | 0.254935i | ||||
\(931\) | −2679.07 | − | 3154.05i | −0.0943105 | − | 0.111031i | ||||
\(932\) | 37790.8 | − | 12733.2i | 1.32819 | − | 0.447521i | ||||
\(933\) | −3957.54 | + | 3749.12i | −0.138868 | + | 0.131555i | ||||
\(934\) | 10459.2 | − | 26250.7i | 0.366420 | − | 0.919644i | ||||
\(935\) | 40506.7 | − | 47688.1i | 1.41680 | − | 1.66799i | ||||
\(936\) | −1370.45 | + | 1803.14i | −0.0478574 | + | 0.0629673i | ||||
\(937\) | −20958.7 | + | 14210.3i | −0.730725 | + | 0.495444i | −0.868915 | − | 0.494962i | \(-0.835182\pi\) |
0.138189 | + | 0.990406i | \(0.455872\pi\) | |||||||
\(938\) | −44237.4 | + | 17625.8i | −1.53987 | + | 0.613542i | ||||
\(939\) | −13858.3 | + | 3051.11i | −0.481628 | + | 0.106037i | ||||
\(940\) | 3301.70 | − | 30358.7i | 0.114563 | − | 1.05339i | ||||
\(941\) | 38010.5 | − | 17585.6i | 1.31680 | − | 0.609216i | 0.369400 | − | 0.929270i | \(-0.379563\pi\) |
0.947399 | + | 0.320054i | \(0.103701\pi\) | |||||||
\(942\) | −20256.5 | − | 38203.6i | −0.700628 | − | 1.32138i | ||||
\(943\) | − | 12488.4i | − | 0.431261i | ||||||
\(944\) | −476.134 | − | 30081.6i | −0.0164161 | − | 1.03715i | ||||
\(945\) | −1860.23 | − | 34223.1i | −0.0640351 | − | 1.17807i | ||||
\(946\) | 19310.7 | + | 1046.99i | 0.663683 | + | 0.0359839i | ||||
\(947\) | 9837.53 | + | 21263.5i | 0.337568 | + | 0.729641i | 0.999807 | − | 0.0196515i | \(-0.00625566\pi\) |
−0.662239 | + | 0.749293i | \(0.730394\pi\) | |||||||
\(948\) | 6626.74 | + | 14321.8i | 0.227032 | + | 0.490663i | ||||
\(949\) | −20850.4 | − | 7025.33i | −0.713207 | − | 0.240307i | ||||
\(950\) | −7535.69 | − | 18913.1i | −0.257358 | − | 0.645919i | ||||
\(951\) | −22001.2 | − | 10177.6i | −0.750199 | − | 0.347037i | ||||
\(952\) | 1557.69 | + | 255.370i | 0.0530304 | + | 0.00869389i | ||||
\(953\) | 13259.9 | + | 11263.1i | 0.450715 | + | 0.382840i | 0.843797 | − | 0.536663i | \(-0.180315\pi\) |
−0.393082 | + | 0.919503i | \(0.628591\pi\) | |||||||
\(954\) | 3744.47 | − | 3181.17i | 0.127077 | − | 0.107960i | ||||
\(955\) | 10508.8 | + | 47741.8i | 0.356079 | + | 1.61768i | ||||
\(956\) | −7459.72 | − | 22139.7i | −0.252369 | − | 0.749004i | ||||
\(957\) | −66797.6 | − | 22503.3i | −2.25628 | − | 0.760114i | ||||
\(958\) | −19674.8 | − | 32699.7i | −0.663531 | − | 1.10280i | ||||
\(959\) | −4407.55 | − | 40526.8i | −0.148412 | − | 1.36463i | ||||
\(960\) | −35466.2 | + | 11951.8i | −1.19236 | + | 0.401814i | ||||
\(961\) | −15365.2 | + | 22662.0i | −0.515768 | + | 0.760701i | ||||
\(962\) | 53829.7 | + | 50990.2i | 1.80410 | + | 1.70893i | ||||
\(963\) | −10877.2 | + | 7376.37i | −0.363980 | + | 0.246833i | ||||
\(964\) | −1345.55 | − | 622.519i | −0.0449558 | − | 0.0207988i | ||||
\(965\) | −18268.2 | + | 30362.0i | −0.609404 | + | 1.01284i | ||||
\(966\) | −27803.0 | + | 23618.2i | −0.926031 | + | 0.786650i | ||||
\(967\) | 18964.7 | + | 20020.8i | 0.630676 | + | 0.665796i | 0.960511 | − | 0.278242i | \(-0.0897518\pi\) |
−0.329835 | + | 0.944039i | \(0.606993\pi\) | |||||||
\(968\) | 418.042 | + | 1505.65i | 0.0138805 | + | 0.0499932i | ||||
\(969\) | −19683.8 | − | 2139.83i | −0.652564 | − | 0.0709404i | ||||
\(970\) | 43855.6 | − | 33338.2i | 1.45167 | − | 1.10353i | ||||
\(971\) | −19840.9 | − | 5508.81i | −0.655742 | − | 0.182066i | −0.0763073 | − | 0.997084i | \(-0.524313\pi\) |
−0.579435 | + | 0.815018i | \(0.696727\pi\) | |||||||
\(972\) | 29085.5 | − | 1583.63i | 0.959791 | − | 0.0522583i | ||||
\(973\) | −260.729 | − | 4808.86i | −0.00859053 | − | 0.158443i | ||||
\(974\) | −346.782 | − | 6396.02i | −0.0114082 | − | 0.210412i | ||||
\(975\) | −32913.3 | − | 19801.2i | −1.08110 | − | 0.650408i | ||||
\(976\) | 31279.7 | + | 8684.76i | 1.02586 | + | 0.284828i | ||||
\(977\) | −4743.31 | + | 3605.77i | −0.155324 | + | 0.118074i | −0.679950 | − | 0.733259i | \(-0.737998\pi\) |
0.524626 | + | 0.851333i | \(0.324205\pi\) | |||||||
\(978\) | −2970.47 | + | 27324.6i | −0.0971217 | + | 0.893399i | ||||
\(979\) | −20704.5 | − | 74571.0i | −0.675914 | − | 2.43442i | ||||
\(980\) | −7044.20 | − | 7436.47i | −0.229611 | − | 0.242397i | ||||
\(981\) | 7108.47 | − | 21103.6i | 0.231352 | − | 0.686835i | ||||
\(982\) | 24911.7 | − | 41403.5i | 0.809534 | − | 1.34546i | ||||
\(983\) | −2351.93 | − | 1088.12i | −0.0763121 | − | 0.0353057i | 0.381362 | − | 0.924426i | \(-0.375455\pi\) |
−0.457674 | + | 0.889120i | \(0.651317\pi\) | |||||||
\(984\) | 38.9963 | + | 718.637i | 0.00126337 | + | 0.0232818i | ||||
\(985\) | 10770.3 | + | 10202.2i | 0.348398 | + | 0.330020i | ||||
\(986\) | −47464.1 | + | 70004.3i | −1.53303 | + | 2.26104i | ||||
\(987\) | 6899.89 | + | 20475.0i | 0.222519 | + | 0.660312i | ||||
\(988\) | 2692.56 | + | 24757.7i | 0.0867022 | + | 0.797213i | ||||
\(989\) | −5468.22 | − | 9088.26i | −0.175813 | − | 0.292204i | ||||
\(990\) | −17921.9 | − | 81384.4i | −0.575348 | − | 2.61269i | ||||
\(991\) | 19316.2 | + | 57328.4i | 0.619171 | + | 1.83763i | 0.541580 | + | 0.840649i | \(0.317826\pi\) |
0.0775911 | + | 0.996985i | \(0.475277\pi\) | |||||||
\(992\) | 2671.89 | + | 12138.5i | 0.0855168 | + | 0.388507i | ||||
\(993\) | −51361.2 | + | 8422.65i | −1.64139 | + | 0.269169i | ||||
\(994\) | −40864.2 | − | 34710.4i | −1.30396 | − | 1.10759i | ||||
\(995\) | −586.814 | − | 96.2033i | −0.0186967 | − | 0.00306517i | ||||
\(996\) | 11920.2 | − | 25768.3i | 0.379224 | − | 0.819778i | ||||
\(997\) | −13121.9 | − | 32933.6i | −0.416826 | − | 1.04615i | −0.976129 | − | 0.217191i | \(-0.930310\pi\) |
0.559303 | − | 0.828963i | \(-0.311069\pi\) | |||||||
\(998\) | 3085.67 | + | 1039.68i | 0.0978711 | + | 0.0329766i | ||||
\(999\) | −2078.02 | + | 38424.3i | −0.0658116 | + | 1.21691i |
(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 | 177.4.f.a.2.10 | ✓ | 1624 | |
3.2 | odd | 2 | inner | 177.4.f.a.2.49 | yes | 1624 | |
59.30 | odd | 58 | inner | 177.4.f.a.89.49 | yes | 1624 | |
177.89 | even | 58 | inner | 177.4.f.a.89.10 | yes | 1624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.f.a.2.10 | ✓ | 1624 | 1.1 | even | 1 | trivial | |
177.4.f.a.2.49 | yes | 1624 | 3.2 | odd | 2 | inner | |
177.4.f.a.89.10 | yes | 1624 | 177.89 | even | 58 | inner | |
177.4.f.a.89.49 | yes | 1624 | 59.30 | odd | 58 | inner |