Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), 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: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.16 | ||
Character | \(\chi\) | \(=\) | 76.3 |
Dual form | 76.4.k.a.51.16 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.311236 | − | 2.81125i | 0.110038 | − | 0.993927i | ||||
\(3\) | 8.99625 | − | 3.27437i | 1.73133 | − | 0.630152i | 0.732605 | − | 0.680654i | \(-0.238304\pi\) |
0.998724 | + | 0.0505019i | \(0.0160821\pi\) | |||||||
\(4\) | −7.80626 | − | 1.74992i | −0.975783 | − | 0.218740i | ||||
\(5\) | 1.82627 | − | 10.3573i | 0.163346 | − | 0.926383i | −0.787407 | − | 0.616434i | \(-0.788577\pi\) |
0.950753 | − | 0.309949i | \(-0.100312\pi\) | |||||||
\(6\) | −6.40511 | − | 26.3098i | −0.435813 | − | 1.79016i | ||||
\(7\) | −21.9414 | + | 12.6679i | −1.18472 | + | 0.684000i | −0.957103 | − | 0.289750i | \(-0.906428\pi\) |
−0.227621 | + | 0.973750i | \(0.573095\pi\) | |||||||
\(8\) | −7.34906 | + | 21.4007i | −0.324786 | + | 0.945788i | ||||
\(9\) | 49.5278 | − | 41.5588i | 1.83436 | − | 1.53921i | ||||
\(10\) | −28.5485 | − | 8.35765i | −0.902783 | − | 0.264292i | ||||
\(11\) | 49.1745 | + | 28.3909i | 1.34788 | + | 0.778199i | 0.987949 | − | 0.154780i | \(-0.0494668\pi\) |
0.359931 | + | 0.932979i | \(0.382800\pi\) | |||||||
\(12\) | −75.9570 | + | 9.81783i | −1.82724 | + | 0.236180i | ||||
\(13\) | −5.39805 | + | 14.8310i | −0.115165 | + | 0.316414i | −0.983862 | − | 0.178931i | \(-0.942736\pi\) |
0.868696 | + | 0.495345i | \(0.164958\pi\) | |||||||
\(14\) | 28.7836 | + | 65.6254i | 0.549482 | + | 1.25280i | ||||
\(15\) | −17.4840 | − | 99.1565i | −0.300956 | − | 1.70681i | ||||
\(16\) | 57.8755 | + | 27.3207i | 0.904305 | + | 0.426886i | ||||
\(17\) | 7.84449 | + | 6.58231i | 0.111916 | + | 0.0939085i | 0.697028 | − | 0.717044i | \(-0.254505\pi\) |
−0.585112 | + | 0.810952i | \(0.698950\pi\) | |||||||
\(18\) | −101.417 | − | 152.170i | −1.32802 | − | 1.99260i | ||||
\(19\) | −58.6882 | − | 58.4354i | −0.708632 | − | 0.705579i | ||||
\(20\) | −32.3808 | + | 77.6558i | −0.362028 | + | 0.868219i | ||||
\(21\) | −155.911 | + | 185.807i | −1.62012 | + | 1.93079i | ||||
\(22\) | 95.1189 | − | 129.406i | 0.921792 | − | 1.25406i | ||||
\(23\) | 14.7647 | − | 2.60342i | 0.133855 | − | 0.0236022i | −0.106319 | − | 0.994332i | \(-0.533907\pi\) |
0.240174 | + | 0.970730i | \(0.422796\pi\) | |||||||
\(24\) | 3.95988 | + | 216.590i | 0.0336794 | + | 1.84213i | ||||
\(25\) | 13.5236 | + | 4.92218i | 0.108189 | + | 0.0393775i | ||||
\(26\) | 40.0137 | + | 19.7912i | 0.301820 | + | 0.149284i | ||||
\(27\) | 180.242 | − | 312.189i | 1.28473 | − | 2.22521i | ||||
\(28\) | 193.448 | − | 60.4930i | 1.30565 | − | 0.408289i | ||||
\(29\) | −71.1539 | − | 84.7979i | −0.455619 | − | 0.542985i | 0.488512 | − | 0.872557i | \(-0.337540\pi\) |
−0.944130 | + | 0.329572i | \(0.893095\pi\) | |||||||
\(30\) | −284.196 | + | 18.2908i | −1.72956 | + | 0.111314i | ||||
\(31\) | 74.0030 | + | 128.177i | 0.428753 | + | 0.742621i | 0.996763 | − | 0.0804002i | \(-0.0256198\pi\) |
−0.568010 | + | 0.823022i | \(0.692287\pi\) | |||||||
\(32\) | 94.8183 | − | 154.199i | 0.523802 | − | 0.851840i | ||||
\(33\) | 535.349 | + | 94.3964i | 2.82401 | + | 0.497949i | ||||
\(34\) | 20.9460 | − | 20.0042i | 0.105653 | − | 0.100903i | ||||
\(35\) | 91.1338 | + | 250.388i | 0.440126 | + | 1.20924i | ||||
\(36\) | −459.352 | + | 237.749i | −2.12663 | + | 1.10069i | ||||
\(37\) | 59.8146i | 0.265769i | 0.991132 | + | 0.132885i | \(0.0424240\pi\) | ||||
−0.991132 | + | 0.132885i | \(0.957576\pi\) | |||||||
\(38\) | −182.542 | + | 146.800i | −0.779271 | + | 0.626688i | ||||
\(39\) | 151.099i | 0.620389i | ||||||||
\(40\) | 208.232 | + | 115.200i | 0.823109 | + | 0.455367i | ||||
\(41\) | 148.039 | + | 406.735i | 0.563900 | + | 1.54930i | 0.813869 | + | 0.581048i | \(0.197357\pi\) |
−0.249970 | + | 0.968254i | \(0.580421\pi\) | |||||||
\(42\) | 473.826 | + | 496.135i | 1.74078 | + | 1.82274i | ||||
\(43\) | −287.236 | − | 50.6474i | −1.01868 | − | 0.179620i | −0.360718 | − | 0.932675i | \(-0.617468\pi\) |
−0.657957 | + | 0.753055i | \(0.728579\pi\) | |||||||
\(44\) | −334.188 | − | 307.679i | −1.14502 | − | 1.05419i | ||||
\(45\) | −339.985 | − | 588.871i | −1.12627 | − | 1.95075i | ||||
\(46\) | −2.72355 | − | 42.3176i | −0.00872970 | − | 0.135639i | ||||
\(47\) | −26.3499 | − | 31.4026i | −0.0817773 | − | 0.0974583i | 0.723604 | − | 0.690215i | \(-0.242484\pi\) |
−0.805382 | + | 0.592757i | \(0.798040\pi\) | |||||||
\(48\) | 610.121 | + | 56.2783i | 1.83465 | + | 0.169231i | ||||
\(49\) | 149.449 | − | 258.854i | 0.435713 | − | 0.754677i | ||||
\(50\) | 18.0465 | − | 36.4862i | 0.0510432 | − | 0.103199i | ||||
\(51\) | 92.1239 | + | 33.5304i | 0.252940 | + | 0.0920626i | ||||
\(52\) | 68.0918 | − | 106.329i | 0.181589 | − | 0.283560i | ||||
\(53\) | −99.8184 | + | 17.6007i | −0.258700 | + | 0.0456158i | −0.301494 | − | 0.953468i | \(-0.597485\pi\) |
0.0427937 | + | 0.999084i | \(0.486374\pi\) | |||||||
\(54\) | −821.543 | − | 603.870i | −2.07033 | − | 1.52178i | ||||
\(55\) | 383.859 | − | 457.465i | 0.941082 | − | 1.12154i | ||||
\(56\) | −109.853 | − | 562.659i | −0.262138 | − | 1.34265i | ||||
\(57\) | −719.313 | − | 333.532i | −1.67150 | − | 0.775043i | ||||
\(58\) | −260.534 | + | 173.639i | −0.589823 | + | 0.393103i | ||||
\(59\) | −351.567 | − | 295.000i | −0.775766 | − | 0.650945i | 0.166413 | − | 0.986056i | \(-0.446782\pi\) |
−0.942179 | + | 0.335111i | \(0.891226\pi\) | |||||||
\(60\) | −37.0318 | + | 804.638i | −0.0796797 | + | 1.73130i | ||||
\(61\) | 80.0696 | + | 454.097i | 0.168063 | + | 0.953135i | 0.945849 | + | 0.324606i | \(0.105232\pi\) |
−0.777786 | + | 0.628529i | \(0.783657\pi\) | |||||||
\(62\) | 383.370 | − | 168.148i | 0.785291 | − | 0.344432i | ||||
\(63\) | −560.248 | + | 1539.27i | −1.12039 | + | 3.07825i | ||||
\(64\) | −403.983 | − | 314.551i | −0.789029 | − | 0.614356i | ||||
\(65\) | 143.751 | + | 82.9945i | 0.274309 | + | 0.158372i | ||||
\(66\) | 431.992 | − | 1475.62i | 0.805674 | − | 2.75207i | ||||
\(67\) | −209.391 | + | 175.700i | −0.381808 | + | 0.320375i | −0.813412 | − | 0.581688i | \(-0.802392\pi\) |
0.431604 | + | 0.902063i | \(0.357948\pi\) | |||||||
\(68\) | −49.7177 | − | 65.1105i | −0.0886640 | − | 0.116115i | ||||
\(69\) | 124.302 | − | 71.7661i | 0.216873 | − | 0.125212i | ||||
\(70\) | 732.267 | − | 178.270i | 1.25032 | − | 0.304391i | ||||
\(71\) | 52.3347 | − | 296.805i | 0.0874787 | − | 0.496116i | −0.909315 | − | 0.416107i | \(-0.863394\pi\) |
0.996794 | − | 0.0800088i | \(-0.0254949\pi\) | |||||||
\(72\) | 525.405 | + | 1365.35i | 0.859995 | + | 2.23483i | ||||
\(73\) | −33.8235 | + | 12.3107i | −0.0542293 | + | 0.0197379i | −0.368992 | − | 0.929432i | \(-0.620297\pi\) |
0.314763 | + | 0.949170i | \(0.398075\pi\) | |||||||
\(74\) | 168.154 | + | 18.6164i | 0.264155 | + | 0.0292448i | ||||
\(75\) | 137.779 | 0.212124 | ||||||||
\(76\) | 355.878 | + | 558.862i | 0.537132 | + | 0.843498i | ||||
\(77\) | −1438.61 | −2.12915 | ||||||||
\(78\) | 424.777 | + | 47.0273i | 0.616621 | + | 0.0682666i | ||||
\(79\) | 44.5451 | − | 16.2131i | 0.0634394 | − | 0.0230901i | −0.310106 | − | 0.950702i | \(-0.600364\pi\) |
0.373545 | + | 0.927612i | \(0.378142\pi\) | |||||||
\(80\) | 388.665 | − | 549.538i | 0.543175 | − | 0.768003i | ||||
\(81\) | 296.153 | − | 1679.57i | 0.406246 | − | 2.30394i | ||||
\(82\) | 1189.51 | − | 289.586i | 1.60194 | − | 0.389993i | ||||
\(83\) | −922.988 | + | 532.887i | −1.22062 | + | 0.704722i | −0.965049 | − | 0.262069i | \(-0.915595\pi\) |
−0.255566 | + | 0.966792i | \(0.582262\pi\) | |||||||
\(84\) | 1542.23 | − | 1177.63i | 2.00323 | − | 1.52964i | ||||
\(85\) | 82.5010 | − | 69.2266i | 0.105276 | − | 0.0883373i | ||||
\(86\) | −231.781 | + | 791.728i | −0.290623 | + | 0.992724i | ||||
\(87\) | −917.777 | − | 529.879i | −1.13099 | − | 0.652977i | ||||
\(88\) | −968.974 | + | 843.725i | −1.17378 | + | 1.02206i | ||||
\(89\) | −229.920 | + | 631.699i | −0.273837 | + | 0.752360i | 0.724192 | + | 0.689598i | \(0.242213\pi\) |
−0.998029 | + | 0.0627613i | \(0.980009\pi\) | |||||||
\(90\) | −1761.28 | + | 772.505i | −2.06283 | + | 0.904769i | ||||
\(91\) | −69.4367 | − | 393.795i | −0.0799884 | − | 0.453637i | ||||
\(92\) | −119.813 | − | 5.51414i | −0.135776 | − | 0.00624879i | ||||
\(93\) | 1085.45 | + | 910.799i | 1.21028 | + | 1.01554i | ||||
\(94\) | −96.4817 | + | 64.3026i | −0.105865 | + | 0.0705565i | ||||
\(95\) | −712.412 | + | 501.132i | −0.769389 | + | 0.541211i | ||||
\(96\) | 348.104 | − | 1697.69i | 0.370085 | − | 1.80489i | ||||
\(97\) | 448.147 | − | 534.081i | 0.469098 | − | 0.559049i | −0.478676 | − | 0.877991i | \(-0.658883\pi\) |
0.947774 | + | 0.318943i | \(0.103328\pi\) | |||||||
\(98\) | −681.190 | − | 500.705i | −0.702149 | − | 0.516110i | ||||
\(99\) | 3615.40 | − | 637.493i | 3.67032 | − | 0.647176i | ||||
\(100\) | −96.9552 | − | 62.0891i | −0.0969552 | − | 0.0620891i | ||||
\(101\) | −1403.35 | − | 510.776i | −1.38255 | − | 0.503209i | −0.459603 | − | 0.888124i | \(-0.652008\pi\) |
−0.922952 | + | 0.384916i | \(0.874231\pi\) | |||||||
\(102\) | 122.935 | − | 248.548i | 0.119337 | − | 0.241273i | ||||
\(103\) | 358.623 | − | 621.153i | 0.343070 | − | 0.594214i | −0.641932 | − | 0.766762i | \(-0.721867\pi\) |
0.985001 | + | 0.172548i | \(0.0552000\pi\) | |||||||
\(104\) | −277.724 | − | 224.516i | −0.261857 | − | 0.211689i | ||||
\(105\) | 1639.72 | + | 1954.15i | 1.52401 | + | 1.81624i | ||||
\(106\) | 18.4129 | + | 286.093i | 0.0168719 | + | 0.262149i | ||||
\(107\) | 224.123 | + | 388.193i | 0.202494 | + | 0.350729i | 0.949331 | − | 0.314277i | \(-0.101762\pi\) |
−0.746838 | + | 0.665006i | \(0.768429\pi\) | |||||||
\(108\) | −1953.32 | + | 2121.62i | −1.74036 | + | 1.89030i | ||||
\(109\) | 284.365 | + | 50.1413i | 0.249883 | + | 0.0440611i | 0.297187 | − | 0.954819i | \(-0.403952\pi\) |
−0.0473035 | + | 0.998881i | \(0.515063\pi\) | |||||||
\(110\) | −1166.58 | − | 1221.50i | −1.01117 | − | 1.05878i | ||||
\(111\) | 195.855 | + | 538.107i | 0.167475 | + | 0.460134i | ||||
\(112\) | −1615.96 | + | 133.705i | −1.36334 | + | 0.112803i | ||||
\(113\) | − | 698.398i | − | 0.581414i | −0.956812 | − | 0.290707i | \(-0.906110\pi\) | ||
0.956812 | − | 0.290707i | \(-0.0938905\pi\) | |||||||
\(114\) | −1161.52 | + | 1918.36i | −0.954265 | + | 1.57606i | ||||
\(115\) | − | 157.677i | − | 0.127856i | ||||||
\(116\) | 407.056 | + | 786.468i | 0.325812 | + | 0.629498i | ||||
\(117\) | 349.005 | + | 958.885i | 0.275774 | + | 0.757683i | ||||
\(118\) | −938.740 | + | 896.530i | −0.732356 | + | 0.699426i | ||||
\(119\) | −255.503 | − | 45.0520i | −0.196823 | − | 0.0347052i | ||||
\(120\) | 2250.51 | + | 354.538i | 1.71202 | + | 0.269706i | ||||
\(121\) | 946.591 | + | 1639.54i | 0.711188 | + | 1.23181i | ||||
\(122\) | 1301.50 | − | 83.7645i | 0.965840 | − | 0.0621613i | ||||
\(123\) | 2663.60 | + | 3174.36i | 1.95259 | + | 2.32701i | ||||
\(124\) | −353.387 | − | 1130.08i | −0.255928 | − | 0.818423i | ||||
\(125\) | 732.994 | − | 1269.58i | 0.524488 | − | 0.908440i | ||||
\(126\) | 4152.90 | + | 2054.07i | 2.93627 | + | 1.45231i | ||||
\(127\) | −2560.58 | − | 931.973i | −1.78909 | − | 0.651175i | −0.999285 | − | 0.0378168i | \(-0.987960\pi\) |
−0.789805 | − | 0.613358i | \(-0.789818\pi\) | |||||||
\(128\) | −1010.01 | + | 1037.80i | −0.697449 | + | 0.716634i | ||||
\(129\) | −2749.88 | + | 484.878i | −1.87685 | + | 0.330939i | ||||
\(130\) | 278.059 | − | 378.289i | 0.187595 | − | 0.255216i | ||||
\(131\) | 487.724 | − | 581.247i | 0.325287 | − | 0.387662i | −0.578473 | − | 0.815702i | \(-0.696351\pi\) |
0.903760 | + | 0.428039i | \(0.140796\pi\) | |||||||
\(132\) | −4013.89 | − | 1673.70i | −2.64670 | − | 1.10361i | ||||
\(133\) | 2027.95 | + | 538.699i | 1.32215 | + | 0.351211i | ||||
\(134\) | 428.766 | + | 643.334i | 0.276416 | + | 0.414743i | ||||
\(135\) | −2904.25 | − | 2436.96i | −1.85154 | − | 1.55363i | ||||
\(136\) | −198.516 | + | 119.504i | −0.125166 | + | 0.0753485i | ||||
\(137\) | −282.888 | − | 1604.33i | −0.176414 | − | 1.00049i | −0.936499 | − | 0.350670i | \(-0.885954\pi\) |
0.760085 | − | 0.649823i | \(-0.225157\pi\) | |||||||
\(138\) | −163.065 | − | 371.782i | −0.100587 | − | 0.229334i | ||||
\(139\) | 1071.34 | − | 2943.49i | 0.653741 | − | 1.79614i | 0.0502951 | − | 0.998734i | \(-0.483984\pi\) |
0.603446 | − | 0.797404i | \(-0.293794\pi\) | |||||||
\(140\) | −273.255 | − | 2114.07i | −0.164959 | − | 1.27623i | ||||
\(141\) | −339.874 | − | 196.226i | −0.202997 | − | 0.117200i | ||||
\(142\) | −818.104 | − | 239.502i | −0.483477 | − | 0.141539i | ||||
\(143\) | −686.513 | + | 576.053i | −0.401462 | + | 0.336867i | ||||
\(144\) | 4001.86 | − | 1052.10i | 2.31589 | − | 0.608855i | ||||
\(145\) | −1008.22 | + | 582.097i | −0.577436 | + | 0.333383i | ||||
\(146\) | 24.0815 | + | 98.9179i | 0.0136507 | + | 0.0560719i | ||||
\(147\) | 496.902 | − | 2818.07i | 0.278801 | − | 1.58116i | ||||
\(148\) | 104.671 | − | 466.929i | 0.0581345 | − | 0.259333i | ||||
\(149\) | −1077.66 | + | 392.235i | −0.592517 | + | 0.215659i | −0.620836 | − | 0.783940i | \(-0.713207\pi\) |
0.0283190 | + | 0.999599i | \(0.490985\pi\) | |||||||
\(150\) | 42.8816 | − | 387.330i | 0.0233418 | − | 0.210836i | ||||
\(151\) | 2930.13 | 1.57914 | 0.789571 | − | 0.613660i | \(-0.210303\pi\) | ||||
0.789571 | + | 0.613660i | \(0.210303\pi\) | |||||||
\(152\) | 1681.86 | − | 826.526i | 0.897481 | − | 0.441053i | ||||
\(153\) | 662.073 | 0.349840 | ||||||||
\(154\) | −447.747 | + | 4044.29i | −0.234289 | + | 2.11622i | ||||
\(155\) | 1462.71 | − | 532.384i | 0.757987 | − | 0.275885i | ||||
\(156\) | 264.411 | − | 1179.52i | 0.135704 | − | 0.605365i | ||||
\(157\) | −317.240 | + | 1799.16i | −0.161264 | + | 0.914576i | 0.791568 | + | 0.611081i | \(0.209265\pi\) |
−0.952833 | + | 0.303496i | \(0.901846\pi\) | |||||||
\(158\) | −31.7150 | − | 130.273i | −0.0159691 | − | 0.0655949i | ||||
\(159\) | −840.360 | + | 485.182i | −0.419150 | + | 0.241997i | ||||
\(160\) | −1423.92 | − | 1263.67i | −0.703569 | − | 0.624387i | ||||
\(161\) | −290.978 | + | 244.160i | −0.142437 | + | 0.119519i | ||||
\(162\) | −4629.52 | − | 1355.30i | −2.24524 | − | 0.657300i | ||||
\(163\) | −934.281 | − | 539.407i | −0.448948 | − | 0.259200i | 0.258438 | − | 0.966028i | \(-0.416792\pi\) |
−0.707386 | + | 0.706828i | \(0.750126\pi\) | |||||||
\(164\) | −443.880 | − | 3434.14i | −0.211349 | − | 1.63513i | ||||
\(165\) | 1955.38 | − | 5372.36i | 0.922583 | − | 2.53478i | ||||
\(166\) | 1210.81 | + | 2760.60i | 0.566128 | + | 1.29075i | ||||
\(167\) | 614.841 | + | 3486.94i | 0.284897 | + | 1.61573i | 0.705652 | + | 0.708558i | \(0.250654\pi\) |
−0.420755 | + | 0.907174i | \(0.638235\pi\) | |||||||
\(168\) | −2830.62 | − | 4702.12i | −1.29992 | − | 2.15938i | ||||
\(169\) | 1492.18 | + | 1252.09i | 0.679190 | + | 0.569908i | ||||
\(170\) | −168.936 | − | 253.477i | −0.0762165 | − | 0.114358i | ||||
\(171\) | −5335.20 | − | 455.166i | −2.38592 | − | 0.203552i | ||||
\(172\) | 2153.61 | + | 898.007i | 0.954716 | + | 0.398095i | ||||
\(173\) | 2130.06 | − | 2538.50i | 0.936100 | − | 1.11560i | −0.0570050 | − | 0.998374i | \(-0.518155\pi\) |
0.993105 | − | 0.117227i | \(-0.0374005\pi\) | |||||||
\(174\) | −1775.27 | + | 2415.18i | −0.773464 | + | 1.05227i | ||||
\(175\) | −359.080 | + | 63.3154i | −0.155108 | + | 0.0273497i | ||||
\(176\) | 2070.34 | + | 2986.63i | 0.886693 | + | 1.27912i | ||||
\(177\) | −4128.73 | − | 1502.73i | −1.75330 | − | 0.638149i | ||||
\(178\) | 1704.31 | + | 842.970i | 0.717658 | + | 0.354962i | ||||
\(179\) | −851.585 | + | 1474.99i | −0.355589 | + | 0.615898i | −0.987219 | − | 0.159372i | \(-0.949053\pi\) |
0.631630 | + | 0.775270i | \(0.282386\pi\) | |||||||
\(180\) | 1623.53 | + | 5191.83i | 0.672283 | + | 2.14987i | ||||
\(181\) | −1722.20 | − | 2052.43i | −0.707237 | − | 0.842852i | 0.286088 | − | 0.958203i | \(-0.407645\pi\) |
−0.993325 | + | 0.115351i | \(0.963201\pi\) | |||||||
\(182\) | −1128.67 | + | 72.6409i | −0.459684 | + | 0.0295852i | ||||
\(183\) | 2207.21 | + | 3823.00i | 0.891593 | + | 1.54428i | ||||
\(184\) | −52.7917 | + | 335.108i | −0.0211514 | + | 0.134264i | ||||
\(185\) | 619.517 | + | 109.238i | 0.246204 | + | 0.0434125i | ||||
\(186\) | 2898.31 | − | 2767.99i | 1.14255 | − | 1.09118i | ||||
\(187\) | 198.871 | + | 546.395i | 0.0777696 | + | 0.213670i | ||||
\(188\) | 150.742 | + | 291.247i | 0.0584788 | + | 0.112986i | ||||
\(189\) | 9133.13i | 3.51501i | ||||||||
\(190\) | 1187.08 | + | 2158.74i | 0.453262 | + | 0.824270i | ||||
\(191\) | − | 1145.37i | − | 0.433908i | −0.976182 | − | 0.216954i | \(-0.930388\pi\) | ||
0.976182 | − | 0.216954i | \(-0.0696121\pi\) | |||||||
\(192\) | −4664.28 | − | 1506.99i | −1.75321 | − | 0.566445i | ||||
\(193\) | −486.666 | − | 1337.10i | −0.181508 | − | 0.498688i | 0.815254 | − | 0.579104i | \(-0.196597\pi\) |
−0.996761 | + | 0.0804155i | \(0.974375\pi\) | |||||||
\(194\) | −1361.96 | − | 1426.08i | −0.504035 | − | 0.527766i | ||||
\(195\) | 1564.97 | + | 275.947i | 0.574718 | + | 0.101338i | ||||
\(196\) | −1619.62 | + | 1759.16i | −0.590239 | + | 0.641093i | ||||
\(197\) | 1049.95 | + | 1818.56i | 0.379724 | + | 0.657701i | 0.991022 | − | 0.133700i | \(-0.0426857\pi\) |
−0.611298 | + | 0.791400i | \(0.709352\pi\) | |||||||
\(198\) | −666.911 | − | 10362.2i | −0.239370 | − | 3.71924i | ||||
\(199\) | 442.773 | + | 527.676i | 0.157725 | + | 0.187970i | 0.839120 | − | 0.543947i | \(-0.183071\pi\) |
−0.681394 | + | 0.731916i | \(0.738626\pi\) | |||||||
\(200\) | −204.724 | + | 253.241i | −0.0723808 | + | 0.0895343i | ||||
\(201\) | −1308.43 | + | 2266.26i | −0.459150 | + | 0.795272i | ||||
\(202\) | −1872.69 | + | 3786.18i | −0.652287 | + | 1.31879i | ||||
\(203\) | 2635.42 | + | 959.215i | 0.911184 | + | 0.331644i | ||||
\(204\) | −660.468 | − | 422.957i | −0.226677 | − | 0.145161i | ||||
\(205\) | 4483.03 | − | 790.479i | 1.52736 | − | 0.269314i | ||||
\(206\) | −1634.60 | − | 1201.50i | −0.552855 | − | 0.406373i | ||||
\(207\) | 623.069 | − | 742.545i | 0.209209 | − | 0.249326i | ||||
\(208\) | −717.609 | + | 710.875i | −0.239218 | + | 0.236973i | ||||
\(209\) | −1226.93 | − | 4539.75i | −0.406070 | − | 1.50249i | ||||
\(210\) | 6003.94 | − | 4001.48i | 1.97291 | − | 1.31490i | ||||
\(211\) | −1345.95 | − | 1129.39i | −0.439143 | − | 0.368485i | 0.396245 | − | 0.918145i | \(-0.370313\pi\) |
−0.835389 | + | 0.549660i | \(0.814757\pi\) | |||||||
\(212\) | 810.009 | + | 37.2790i | 0.262413 | + | 0.0120770i | ||||
\(213\) | −501.032 | − | 2841.49i | −0.161174 | − | 0.914065i | ||||
\(214\) | 1161.06 | − | 509.247i | 0.370881 | − | 0.162670i | ||||
\(215\) | −1049.14 | + | 2882.49i | −0.332794 | + | 0.914343i | ||||
\(216\) | 5356.45 | + | 6151.61i | 1.68732 | + | 1.93780i | ||||
\(217\) | −3247.46 | − | 1874.92i | −1.01591 | − | 0.586534i | ||||
\(218\) | 229.464 | − | 783.816i | 0.0712903 | − | 0.243517i | ||||
\(219\) | −263.975 | + | 221.501i | −0.0814510 | + | 0.0683455i | ||||
\(220\) | −3797.03 | + | 2899.37i | −1.16362 | + | 0.888525i | ||||
\(221\) | −139.967 | + | 80.8102i | −0.0426028 | + | 0.0245968i | ||||
\(222\) | 1573.71 | − | 383.120i | 0.475769 | − | 0.115826i | ||||
\(223\) | 240.818 | − | 1365.75i | 0.0723155 | − | 0.410122i | −0.927064 | − | 0.374903i | \(-0.877676\pi\) |
0.999380 | − | 0.0352189i | \(-0.0112128\pi\) | |||||||
\(224\) | −127.067 | + | 4584.50i | −0.0379020 | + | 1.36748i | ||||
\(225\) | 874.354 | − | 318.239i | 0.259068 | − | 0.0942929i | ||||
\(226\) | −1963.37 | − | 217.366i | −0.577883 | − | 0.0639779i | ||||
\(227\) | 4099.53 | 1.19866 | 0.599329 | − | 0.800503i | \(-0.295434\pi\) | ||||
0.599329 | + | 0.800503i | \(0.295434\pi\) | |||||||
\(228\) | 5031.49 | + | 3862.38i | 1.46148 | + | 1.12190i | ||||
\(229\) | 2168.29 | 0.625697 | 0.312849 | − | 0.949803i | \(-0.398717\pi\) | ||||
0.312849 | + | 0.949803i | \(0.398717\pi\) | |||||||
\(230\) | −443.269 | − | 49.0746i | −0.127080 | − | 0.0140691i | ||||
\(231\) | −12942.1 | + | 4710.54i | −3.68627 | + | 1.34169i | ||||
\(232\) | 2337.65 | − | 899.560i | 0.661527 | − | 0.254565i | ||||
\(233\) | −849.437 | + | 4817.40i | −0.238835 | + | 1.35450i | 0.595551 | + | 0.803318i | \(0.296934\pi\) |
−0.834385 | + | 0.551181i | \(0.814177\pi\) | |||||||
\(234\) | 2804.29 | − | 682.703i | 0.783428 | − | 0.190725i | ||||
\(235\) | −373.368 | + | 215.564i | −0.103642 | + | 0.0598376i | ||||
\(236\) | 2228.20 | + | 2918.06i | 0.614591 | + | 0.804872i | ||||
\(237\) | 347.651 | − | 291.714i | 0.0952842 | − | 0.0799530i | ||||
\(238\) | −206.174 | + | 704.261i | −0.0561525 | + | 0.191809i | ||||
\(239\) | 795.869 | + | 459.495i | 0.215399 | + | 0.124361i | 0.603818 | − | 0.797122i | \(-0.293645\pi\) |
−0.388419 | + | 0.921483i | \(0.626979\pi\) | |||||||
\(240\) | 1697.13 | − | 6216.41i | 0.456456 | − | 1.67195i | ||||
\(241\) | 1162.50 | − | 3193.94i | 0.310718 | − | 0.853691i | −0.681794 | − | 0.731544i | \(-0.738800\pi\) |
0.992512 | − | 0.122147i | \(-0.0389779\pi\) | |||||||
\(242\) | 4903.78 | − | 2150.82i | 1.30259 | − | 0.571322i | ||||
\(243\) | −1145.12 | − | 6494.32i | −0.302304 | − | 1.71445i | ||||
\(244\) | 169.591 | − | 3684.92i | 0.0444956 | − | 0.966815i | ||||
\(245\) | −2408.09 | − | 2020.63i | −0.627948 | − | 0.526911i | ||||
\(246\) | 9752.92 | − | 6500.08i | 2.52774 | − | 1.68467i | ||||
\(247\) | 1183.46 | − | 554.969i | 0.304865 | − | 0.142963i | ||||
\(248\) | −3286.93 | + | 641.738i | −0.841615 | + | 0.164316i | ||||
\(249\) | −6558.56 | + | 7816.19i | −1.66920 | + | 1.98928i | ||||
\(250\) | −3340.98 | − | 2455.77i | −0.845209 | − | 0.621266i | ||||
\(251\) | 1941.63 | − | 342.362i | 0.488265 | − | 0.0860944i | 0.0759048 | − | 0.997115i | \(-0.475815\pi\) |
0.412361 | + | 0.911021i | \(0.364704\pi\) | |||||||
\(252\) | 7067.04 | − | 11035.5i | 1.76660 | − | 2.75863i | ||||
\(253\) | 799.961 | + | 291.162i | 0.198787 | + | 0.0723526i | ||||
\(254\) | −3416.95 | + | 6908.36i | −0.844089 | + | 1.70657i | ||||
\(255\) | 515.526 | − | 892.918i | 0.126602 | − | 0.219281i | ||||
\(256\) | 2603.16 | + | 3162.40i | 0.635536 | + | 0.772071i | ||||
\(257\) | 2330.20 | + | 2777.03i | 0.565580 | + | 0.674031i | 0.970717 | − | 0.240224i | \(-0.0772209\pi\) |
−0.405138 | + | 0.914256i | \(0.632776\pi\) | |||||||
\(258\) | 507.254 | + | 7881.52i | 0.122404 | + | 1.90187i | ||||
\(259\) | −757.724 | − | 1312.42i | −0.181786 | − | 0.314863i | ||||
\(260\) | −976.922 | − | 899.430i | −0.233024 | − | 0.214540i | ||||
\(261\) | −7048.19 | − | 1242.79i | −1.67154 | − | 0.294738i | ||||
\(262\) | −1482.23 | − | 1552.02i | −0.349514 | − | 0.365970i | ||||
\(263\) | −300.586 | − | 825.853i | −0.0704750 | − | 0.193628i | 0.899455 | − | 0.437014i | \(-0.143964\pi\) |
−0.969930 | + | 0.243386i | \(0.921742\pi\) | |||||||
\(264\) | −5954.46 | + | 10763.1i | −1.38815 | + | 2.50919i | ||||
\(265\) | 1065.99i | 0.247107i | ||||||||
\(266\) | 2145.59 | − | 5533.42i | 0.494566 | − | 1.27547i | ||||
\(267\) | 6435.77i | 1.47514i | ||||||||
\(268\) | 1942.02 | − | 1005.14i | 0.442641 | − | 0.229100i | ||||
\(269\) | 2508.42 | + | 6891.82i | 0.568554 | + | 1.56209i | 0.806763 | + | 0.590875i | \(0.201217\pi\) |
−0.238209 | + | 0.971214i | \(0.576560\pi\) | |||||||
\(270\) | −7754.81 | + | 7406.12i | −1.74794 | + | 1.66934i | ||||
\(271\) | 2959.32 | + | 521.808i | 0.663343 | + | 0.116965i | 0.495175 | − | 0.868793i | \(-0.335104\pi\) |
0.168168 | + | 0.985758i | \(0.446215\pi\) | |||||||
\(272\) | 274.171 | + | 595.272i | 0.0611178 | + | 0.132697i | ||||
\(273\) | −1914.10 | − | 3315.32i | −0.424346 | − | 0.734989i | ||||
\(274\) | −4598.23 | + | 295.942i | −1.01383 | + | 0.0652500i | ||||
\(275\) | 525.271 | + | 625.993i | 0.115182 | + | 0.137268i | ||||
\(276\) | −1095.92 | + | 342.705i | −0.239010 | + | 0.0747407i | ||||
\(277\) | 4004.50 | − | 6935.99i | 0.868617 | − | 1.50449i | 0.00520709 | − | 0.999986i | \(-0.498343\pi\) |
0.863410 | − | 0.504503i | \(-0.168324\pi\) | |||||||
\(278\) | −7941.44 | − | 3927.93i | −1.71329 | − | 0.847415i | ||||
\(279\) | 8992.09 | + | 3272.85i | 1.92954 | + | 0.702296i | ||||
\(280\) | −6028.23 | + | 110.213i | −1.28663 | + | 0.0235232i | ||||
\(281\) | −1891.80 | + | 333.575i | −0.401620 | + | 0.0708164i | −0.370810 | − | 0.928709i | \(-0.620920\pi\) |
−0.0308100 | + | 0.999525i | \(0.509809\pi\) | |||||||
\(282\) | −657.423 | + | 894.399i | −0.138826 | + | 0.188868i | ||||
\(283\) | −839.187 | + | 1000.10i | −0.176270 | + | 0.210071i | −0.846945 | − | 0.531681i | \(-0.821560\pi\) |
0.670674 | + | 0.741752i | \(0.266005\pi\) | |||||||
\(284\) | −927.924 | + | 2225.36i | −0.193881 | + | 0.464967i | ||||
\(285\) | −4768.15 | + | 6841.00i | −0.991020 | + | 1.42185i | ||||
\(286\) | 1405.76 | + | 2109.25i | 0.290645 | + | 0.436093i | ||||
\(287\) | −8400.66 | − | 7048.99i | −1.72779 | − | 1.44979i | ||||
\(288\) | −1712.20 | − | 11577.7i | −0.350320 | − | 2.36883i | ||||
\(289\) | −834.924 | − | 4735.09i | −0.169942 | − | 0.963788i | ||||
\(290\) | 1322.63 | + | 3015.53i | 0.267818 | + | 0.610614i | ||||
\(291\) | 2282.87 | − | 6272.13i | 0.459876 | − | 1.26350i | ||||
\(292\) | 285.578 | − | 36.9124i | 0.0572335 | − | 0.00739773i | ||||
\(293\) | −3577.18 | − | 2065.28i | −0.713246 | − | 0.411793i | 0.0990160 | − | 0.995086i | \(-0.468430\pi\) |
−0.812262 | + | 0.583293i | \(0.801764\pi\) | |||||||
\(294\) | −7767.64 | − | 2274.00i | −1.54088 | − | 0.451096i | ||||
\(295\) | −3697.45 | + | 3102.53i | −0.729743 | + | 0.612327i | ||||
\(296\) | −1280.08 | − | 439.581i | −0.251361 | − | 0.0863181i | ||||
\(297\) | 17726.7 | − | 10234.5i | 3.46332 | − | 1.99955i | ||||
\(298\) | 767.266 | + | 3151.64i | 0.149149 | + | 0.612650i | ||||
\(299\) | −41.0893 | + | 233.029i | −0.00794735 | + | 0.0450716i | ||||
\(300\) | −1075.54 | − | 241.102i | −0.206987 | − | 0.0464001i | ||||
\(301\) | 6943.94 | − | 2527.39i | 1.32971 | − | 0.483974i | ||||
\(302\) | 911.960 | − | 8237.32i | 0.173766 | − | 1.56955i | ||||
\(303\) | −14297.3 | −2.71076 | ||||||||
\(304\) | −1800.12 | − | 4985.38i | −0.339617 | − | 0.940564i | ||||
\(305\) | 4849.44 | 0.910421 | ||||||||
\(306\) | 206.061 | − | 1861.25i | 0.0384958 | − | 0.347715i | ||||
\(307\) | 2614.82 | − | 951.716i | 0.486109 | − | 0.176929i | −0.0873266 | − | 0.996180i | \(-0.527832\pi\) |
0.573436 | + | 0.819250i | \(0.305610\pi\) | |||||||
\(308\) | 11230.2 | + | 2517.46i | 2.07759 | + | 0.465732i | ||||
\(309\) | 1192.38 | − | 6762.31i | 0.219521 | − | 1.24497i | ||||
\(310\) | −1041.42 | − | 4277.75i | −0.190802 | − | 0.783742i | ||||
\(311\) | 9081.98 | − | 5243.48i | 1.65592 | − | 0.956047i | 0.681354 | − | 0.731954i | \(-0.261391\pi\) |
0.974568 | − | 0.224093i | \(-0.0719420\pi\) | |||||||
\(312\) | −3233.62 | − | 1110.43i | −0.586756 | − | 0.201493i | ||||
\(313\) | −1138.74 | + | 955.517i | −0.205640 | + | 0.172553i | −0.739791 | − | 0.672836i | \(-0.765076\pi\) |
0.534151 | + | 0.845389i | \(0.320631\pi\) | |||||||
\(314\) | 4959.15 | + | 1451.80i | 0.891277 | + | 0.260924i | ||||
\(315\) | 14919.5 | + | 8613.76i | 2.66863 | + | 1.54073i | ||||
\(316\) | −376.102 | + | 48.6132i | −0.0669538 | + | 0.00865413i | ||||
\(317\) | −1725.00 | + | 4739.41i | −0.305633 | + | 0.839721i | 0.687861 | + | 0.725842i | \(0.258550\pi\) |
−0.993495 | + | 0.113879i | \(0.963672\pi\) | |||||||
\(318\) | 1102.42 | + | 2513.47i | 0.194404 | + | 0.443234i | ||||
\(319\) | −1091.47 | − | 6190.02i | −0.191569 | − | 1.08644i | ||||
\(320\) | −3995.67 | + | 3609.71i | −0.698015 | + | 0.630590i | ||||
\(321\) | 3287.36 | + | 2758.42i | 0.571596 | + | 0.479626i | ||||
\(322\) | 595.832 | + | 894.005i | 0.103119 | + | 0.154723i | ||||
\(323\) | −75.7395 | − | 844.700i | −0.0130472 | − | 0.145512i | ||||
\(324\) | −5250.97 | + | 12592.9i | −0.900372 | + | 2.15928i | ||||
\(325\) | −146.002 | + | 173.998i | −0.0249192 | + | 0.0296975i | ||||
\(326\) | −1807.19 | + | 2458.62i | −0.307028 | + | 0.417700i | ||||
\(327\) | 2722.40 | − | 480.033i | 0.460395 | − | 0.0811800i | ||||
\(328\) | −9792.38 | + | 179.032i | −1.64846 | + | 0.0301385i | ||||
\(329\) | 975.958 | + | 355.220i | 0.163545 | + | 0.0595255i | ||||
\(330\) | −14494.5 | − | 7169.14i | −2.41786 | − | 1.19590i | ||||
\(331\) | 1397.55 | − | 2420.63i | 0.232074 | − | 0.401964i | −0.726344 | − | 0.687331i | \(-0.758782\pi\) |
0.958418 | + | 0.285367i | \(0.0921156\pi\) | |||||||
\(332\) | 8137.60 | − | 2544.70i | 1.34521 | − | 0.420659i | ||||
\(333\) | 2485.82 | + | 2962.49i | 0.409076 | + | 0.487518i | ||||
\(334\) | 9994.02 | − | 643.214i | 1.63727 | − | 0.105375i | ||||
\(335\) | 1437.37 | + | 2489.59i | 0.234423 | + | 0.406033i | ||||
\(336\) | −14099.8 | + | 6494.10i | −2.28931 | + | 1.05441i | ||||
\(337\) | −6864.03 | − | 1210.31i | −1.10952 | − | 0.195638i | −0.411283 | − | 0.911508i | \(-0.634919\pi\) |
−0.698234 | + | 0.715870i | \(0.746030\pi\) | |||||||
\(338\) | 3984.35 | − | 3805.20i | 0.641184 | − | 0.612353i | ||||
\(339\) | −2286.81 | − | 6282.97i | −0.366379 | − | 1.00662i | ||||
\(340\) | −765.166 | + | 396.030i | −0.122050 | + | 0.0631699i | ||||
\(341\) | 8404.06i | 1.33462i | ||||||||
\(342\) | −2940.09 | + | 14856.9i | −0.464859 | + | 2.34904i | ||||
\(343\) | − | 1117.33i | − | 0.175890i | ||||||
\(344\) | 3194.80 | − | 5774.84i | 0.500733 | − | 0.905113i | ||||
\(345\) | −516.292 | − | 1418.50i | −0.0805687 | − | 0.221361i | ||||
\(346\) | −6473.42 | − | 6778.20i | −1.00582 | − | 1.05317i | ||||
\(347\) | −8465.60 | − | 1492.71i | −1.30968 | − | 0.230931i | −0.525140 | − | 0.851016i | \(-0.675987\pi\) |
−0.784535 | + | 0.620084i | \(0.787098\pi\) | |||||||
\(348\) | 6237.16 | + | 5742.41i | 0.960767 | + | 0.884557i | ||||
\(349\) | −3651.73 | − | 6324.98i | −0.560093 | − | 0.970109i | −0.997488 | − | 0.0708398i | \(-0.977432\pi\) |
0.437395 | − | 0.899270i | \(-0.355901\pi\) | |||||||
\(350\) | 66.2372 | + | 1029.17i | 0.0101158 | + | 0.157175i | ||||
\(351\) | 3657.12 | + | 4358.39i | 0.556133 | + | 0.662773i | ||||
\(352\) | 9040.52 | − | 4890.71i | 1.36892 | − | 0.740556i | ||||
\(353\) | −391.307 | + | 677.763i | −0.0590004 | + | 0.102192i | −0.894017 | − | 0.448033i | \(-0.852125\pi\) |
0.835017 | + | 0.550225i | \(0.185458\pi\) | |||||||
\(354\) | −5509.57 | + | 11139.2i | −0.827204 | + | 1.67243i | ||||
\(355\) | −2978.51 | − | 1084.09i | −0.445304 | − | 0.162078i | ||||
\(356\) | 2900.24 | − | 4528.87i | 0.431776 | − | 0.674241i | ||||
\(357\) | −2446.08 | + | 431.311i | −0.362634 | + | 0.0639422i | ||||
\(358\) | 3881.52 | + | 2853.09i | 0.573029 | + | 0.421202i | ||||
\(359\) | −6139.12 | + | 7316.32i | −0.902536 | + | 1.07560i | 0.0942548 | + | 0.995548i | \(0.469953\pi\) |
−0.996791 | + | 0.0800522i | \(0.974491\pi\) | |||||||
\(360\) | 15100.8 | − | 2948.28i | 2.21079 | − | 0.431633i | ||||
\(361\) | 29.6139 | + | 6858.94i | 0.00431753 | + | 0.999991i | ||||
\(362\) | −6305.92 | + | 4202.74i | −0.915557 | + | 0.610196i | ||||
\(363\) | 13884.2 | + | 11650.3i | 2.00753 | + | 1.68452i | ||||
\(364\) | −147.070 | + | 3195.58i | −0.0211773 | + | 0.460148i | ||||
\(365\) | 65.7351 | + | 372.802i | 0.00942666 | + | 0.0534613i | ||||
\(366\) | 11434.4 | − | 5015.16i | 1.63302 | − | 0.716248i | ||||
\(367\) | 3960.55 | − | 10881.5i | 0.563322 | − | 1.54771i | −0.251413 | − | 0.967880i | \(-0.580895\pi\) |
0.814735 | − | 0.579834i | \(-0.196883\pi\) | |||||||
\(368\) | 925.643 | + | 252.708i | 0.131121 | + | 0.0357971i | ||||
\(369\) | 24235.5 | + | 13992.4i | 3.41910 | + | 1.97402i | ||||
\(370\) | 499.910 | − | 1707.62i | 0.0702407 | − | 0.239932i | ||||
\(371\) | 1967.19 | − | 1650.67i | 0.275287 | − | 0.230993i | ||||
\(372\) | −6879.47 | − | 9009.39i | −0.958827 | − | 1.25569i | ||||
\(373\) | −11007.9 | + | 6355.42i | −1.52806 | + | 0.882229i | −0.528622 | + | 0.848857i | \(0.677291\pi\) |
−0.999443 | + | 0.0333714i | \(0.989376\pi\) | |||||||
\(374\) | 1597.95 | − | 389.020i | 0.220930 | − | 0.0537854i | ||||
\(375\) | 2437.12 | − | 13821.6i | 0.335606 | − | 1.90332i | ||||
\(376\) | 865.686 | − | 333.128i | 0.118735 | − | 0.0456909i | ||||
\(377\) | 1641.73 | − | 597.541i | 0.224280 | − | 0.0816311i | ||||
\(378\) | 25675.5 | + | 2842.56i | 3.49367 | + | 0.386787i | ||||
\(379\) | −8402.23 | −1.13877 | −0.569385 | − | 0.822071i | \(-0.692819\pi\) | ||||
−0.569385 | + | 0.822071i | \(0.692819\pi\) | |||||||
\(380\) | 6438.22 | − | 2665.30i | 0.869141 | − | 0.359808i | ||||
\(381\) | −26087.2 | −3.50784 | ||||||||
\(382\) | −3219.94 | − | 356.481i | −0.431273 | − | 0.0477465i | ||||
\(383\) | −2213.69 | + | 805.719i | −0.295338 | + | 0.107494i | −0.485440 | − | 0.874270i | \(-0.661340\pi\) |
0.190102 | + | 0.981764i | \(0.439118\pi\) | |||||||
\(384\) | −5688.21 | + | 12643.4i | −0.755925 | + | 1.68023i | ||||
\(385\) | −2627.29 | + | 14900.1i | −0.347790 | + | 1.97241i | ||||
\(386\) | −3910.40 | + | 951.986i | −0.515633 | + | 0.125531i | ||||
\(387\) | −16331.0 | + | 9428.71i | −2.14509 | + | 1.23847i | ||||
\(388\) | −4432.96 | + | 3384.96i | −0.580024 | + | 0.442900i | ||||
\(389\) | 6430.17 | − | 5395.55i | 0.838104 | − | 0.703253i | −0.119032 | − | 0.992890i | \(-0.537979\pi\) |
0.957136 | + | 0.289638i | \(0.0935348\pi\) | |||||||
\(390\) | 1262.83 | − | 4313.65i | 0.163964 | − | 0.560077i | ||||
\(391\) | 132.958 | + | 76.7634i | 0.0171969 | + | 0.00992863i | ||||
\(392\) | 4441.35 | + | 5100.66i | 0.572251 | + | 0.657200i | ||||
\(393\) | 2484.47 | − | 6826.03i | 0.318893 | − | 0.876151i | ||||
\(394\) | 5439.21 | − | 2385.66i | 0.695491 | − | 0.305045i | ||||
\(395\) | −86.5722 | − | 490.975i | −0.0110276 | − | 0.0625409i | ||||
\(396\) | −29338.3 | − | 1350.24i | −3.72300 | − | 0.171343i | ||||
\(397\) | −5447.64 | − | 4571.11i | −0.688688 | − | 0.577878i | 0.229843 | − | 0.973228i | \(-0.426179\pi\) |
−0.918530 | + | 0.395350i | \(0.870623\pi\) | |||||||
\(398\) | 1621.24 | − | 1080.51i | 0.204184 | − | 0.136084i | ||||
\(399\) | 20007.9 | − | 1793.99i | 2.51039 | − | 0.225093i | ||||
\(400\) | 648.207 | + | 654.348i | 0.0810259 | + | 0.0817935i | ||||
\(401\) | 20.0152 | − | 23.8532i | 0.00249255 | − | 0.00297051i | −0.764797 | − | 0.644272i | \(-0.777161\pi\) |
0.767289 | + | 0.641301i | \(0.221605\pi\) | |||||||
\(402\) | 5963.80 | + | 4383.65i | 0.739918 | + | 0.543873i | ||||
\(403\) | −2300.47 | + | 405.635i | −0.284353 | + | 0.0501392i | ||||
\(404\) | 10061.1 | + | 6443.00i | 1.23900 | + | 0.793443i | ||||
\(405\) | −16854.9 | − | 6134.69i | −2.06797 | − | 0.752679i | ||||
\(406\) | 3516.83 | − | 7110.29i | 0.429895 | − | 0.869157i | ||||
\(407\) | −1698.19 | + | 2941.36i | −0.206821 | + | 0.358225i | ||||
\(408\) | −1394.60 | + | 1725.10i | −0.169223 | + | 0.209327i | ||||
\(409\) | 7190.49 | + | 8569.29i | 0.869308 | + | 1.03600i | 0.999012 | + | 0.0444477i | \(0.0141528\pi\) |
−0.129704 | + | 0.991553i | \(0.541403\pi\) | |||||||
\(410\) | −826.957 | − | 12848.9i | −0.0996109 | − | 1.54772i | ||||
\(411\) | −7798.11 | − | 13506.7i | −0.935894 | − | 1.62102i | ||||
\(412\) | −3886.48 | + | 4221.32i | −0.464740 | + | 0.504781i | ||||
\(413\) | 11450.9 | + | 2019.10i | 1.36431 | + | 0.240565i | ||||
\(414\) | −1893.56 | − | 1982.71i | −0.224791 | − | 0.235374i | ||||
\(415\) | 3833.64 | + | 10532.8i | 0.453460 | + | 1.24587i | ||||
\(416\) | 1775.10 | + | 2238.63i | 0.209210 | + | 0.263841i | ||||
\(417\) | − | 29988.3i | − | 3.52166i | ||||||
\(418\) | −13144.2 | + | 2036.28i | −1.53805 | + | 0.238272i | ||||
\(419\) | 1936.91i | 0.225833i | 0.993604 | + | 0.112916i | \(0.0360193\pi\) | ||||
−0.993604 | + | 0.112916i | \(0.963981\pi\) | |||||||
\(420\) | −9380.51 | − | 18124.0i | −1.08981 | − | 2.10562i | ||||
\(421\) | 2115.58 | + | 5812.52i | 0.244910 | + | 0.672886i | 0.999854 | + | 0.0170959i | \(0.00544206\pi\) |
−0.754943 | + | 0.655790i | \(0.772336\pi\) | |||||||
\(422\) | −3593.90 | + | 3432.31i | −0.414570 | + | 0.395929i | ||||
\(423\) | −2610.11 | − | 460.233i | −0.300018 | − | 0.0529013i | ||||
\(424\) | 356.904 | − | 2265.54i | 0.0408792 | − | 0.259491i | ||||
\(425\) | 73.6863 | + | 127.628i | 0.00841015 | + | 0.0145668i | ||||
\(426\) | −8144.09 | + | 524.153i | −0.926250 | + | 0.0596133i | ||||
\(427\) | −7509.28 | − | 8949.21i | −0.851053 | − | 1.01425i | ||||
\(428\) | −1070.26 | − | 3422.54i | −0.120871 | − | 0.386529i | ||||
\(429\) | −4289.84 | + | 7430.21i | −0.482786 | + | 0.836210i | ||||
\(430\) | 7776.86 | + | 3846.52i | 0.872171 | + | 0.431386i | ||||
\(431\) | 8830.70 | + | 3214.11i | 0.986914 | + | 0.359207i | 0.784524 | − | 0.620098i | \(-0.212907\pi\) |
0.202389 | + | 0.979305i | \(0.435129\pi\) | |||||||
\(432\) | 18960.8 | − | 13143.7i | 2.11170 | − | 1.46384i | ||||
\(433\) | −7576.89 | + | 1336.01i | −0.840928 | + | 0.148278i | −0.577490 | − | 0.816398i | \(-0.695968\pi\) |
−0.263438 | + | 0.964676i | \(0.584857\pi\) | |||||||
\(434\) | −6281.59 | + | 8545.87i | −0.694761 | + | 0.945196i | ||||
\(435\) | −7164.21 | + | 8537.97i | −0.789650 | + | 0.941068i | ||||
\(436\) | −2132.09 | − | 889.033i | −0.234194 | − | 0.0976536i | ||||
\(437\) | −1018.65 | − | 709.991i | −0.111507 | − | 0.0777197i | ||||
\(438\) | 540.537 | + | 811.038i | 0.0589677 | + | 0.0884770i | ||||
\(439\) | 5595.51 | + | 4695.19i | 0.608335 | + | 0.510454i | 0.894113 | − | 0.447842i | \(-0.147807\pi\) |
−0.285777 | + | 0.958296i | \(0.592252\pi\) | |||||||
\(440\) | 6969.09 | + | 11576.8i | 0.755087 | + | 1.25432i | ||||
\(441\) | −3355.75 | − | 19031.4i | −0.362353 | − | 2.05501i | ||||
\(442\) | 183.615 | + | 418.634i | 0.0197594 | + | 0.0450507i | ||||
\(443\) | −69.3384 | + | 190.506i | −0.00743649 | + | 0.0204316i | −0.943355 | − | 0.331784i | \(-0.892349\pi\) |
0.935919 | + | 0.352216i | \(0.114572\pi\) | |||||||
\(444\) | −587.250 | − | 4543.34i | −0.0627695 | − | 0.485625i | ||||
\(445\) | 6122.79 | + | 3535.00i | 0.652243 | + | 0.376573i | ||||
\(446\) | −3764.51 | − | 1102.07i | −0.399674 | − | 0.117006i | ||||
\(447\) | −8410.54 | + | 7057.28i | −0.889944 | + | 0.746752i | ||||
\(448\) | 12848.6 | + | 1784.08i | 1.35500 | + | 0.188147i | ||||
\(449\) | −8094.34 | + | 4673.27i | −0.850769 | + | 0.491192i | −0.860910 | − | 0.508757i | \(-0.830105\pi\) |
0.0101409 | + | 0.999949i | \(0.496772\pi\) | |||||||
\(450\) | −622.519 | − | 2557.07i | −0.0652129 | − | 0.267870i | ||||
\(451\) | −4267.82 | + | 24204.0i | −0.445596 | + | 2.52710i | ||||
\(452\) | −1222.14 | + | 5451.88i | −0.127179 | + | 0.567334i | ||||
\(453\) | 26360.1 | − | 9594.31i | 2.73401 | − | 0.995099i | ||||
\(454\) | 1275.92 | − | 11524.8i | 0.131898 | − | 1.19138i | ||||
\(455\) | −4205.45 | −0.433307 | ||||||||
\(456\) | 12424.1 | − | 12942.7i | 1.27590 | − | 1.32916i | ||||
\(457\) | 8409.75 | 0.860813 | 0.430406 | − | 0.902635i | \(-0.358370\pi\) | ||||
0.430406 | + | 0.902635i | \(0.358370\pi\) | |||||||
\(458\) | 674.849 | − | 6095.61i | 0.0688507 | − | 0.621898i | ||||
\(459\) | 3468.83 | − | 1262.55i | 0.352748 | − | 0.128390i | ||||
\(460\) | −275.922 | + | 1230.87i | −0.0279673 | + | 0.124760i | ||||
\(461\) | 2152.48 | − | 12207.3i | 0.217464 | − | 1.23330i | −0.659116 | − | 0.752041i | \(-0.729069\pi\) |
0.876580 | − | 0.481257i | \(-0.159820\pi\) | |||||||
\(462\) | 9214.46 | + | 37849.6i | 0.927912 | + | 3.81152i | ||||
\(463\) | −7855.39 | + | 4535.31i | −0.788490 | + | 0.455235i | −0.839431 | − | 0.543467i | \(-0.817111\pi\) |
0.0509406 | + | 0.998702i | \(0.483778\pi\) | |||||||
\(464\) | −1801.33 | − | 6851.70i | −0.180225 | − | 0.685522i | ||||
\(465\) | 11415.7 | − | 9578.93i | 1.13848 | − | 0.955295i | ||||
\(466\) | 13278.5 | + | 3887.33i | 1.31999 | + | 0.386431i | ||||
\(467\) | −3366.21 | − | 1943.48i | −0.333553 | − | 0.192577i | 0.323864 | − | 0.946104i | \(-0.395018\pi\) |
−0.657418 | + | 0.753526i | \(0.728351\pi\) | |||||||
\(468\) | −1046.45 | − | 8096.04i | −0.103360 | − | 0.799657i | ||||
\(469\) | 2368.58 | − | 6507.63i | 0.233200 | − | 0.640713i | ||||
\(470\) | 489.799 | + | 1116.72i | 0.0480697 | + | 0.109597i | ||||
\(471\) | 3037.13 | + | 17224.4i | 0.297120 | + | 1.68505i | ||||
\(472\) | 8896.91 | − | 5355.83i | 0.867613 | − | 0.522292i | ||||
\(473\) | −12686.8 | − | 10645.5i | −1.23327 | − | 1.03484i | ||||
\(474\) | −711.879 | − | 1068.13i | −0.0689825 | − | 0.103503i | ||||
\(475\) | −506.046 | − | 1079.13i | −0.0488820 | − | 0.104240i | ||||
\(476\) | 1915.69 | + | 798.798i | 0.184465 | + | 0.0769178i | ||||
\(477\) | −4212.33 | + | 5020.05i | −0.404338 | + | 0.481871i | ||||
\(478\) | 1539.46 | − | 2094.38i | 0.147308 | − | 0.200407i | ||||
\(479\) | 338.101 | − | 59.6164i | 0.0322510 | − | 0.00568672i | −0.157499 | − | 0.987519i | \(-0.550343\pi\) |
0.189750 | + | 0.981832i | \(0.439232\pi\) | |||||||
\(480\) | −16947.7 | − | 6705.84i | −1.61157 | − | 0.637663i | ||||
\(481\) | −887.112 | − | 322.882i | −0.0840932 | − | 0.0306074i | ||||
\(482\) | −8617.15 | − | 4262.14i | −0.814316 | − | 0.402770i | ||||
\(483\) | −1818.25 | + | 3149.29i | −0.171290 | + | 0.296683i | ||||
\(484\) | −4520.26 | − | 14455.2i | −0.424518 | − | 1.35755i | ||||
\(485\) | −4713.19 | − | 5616.96i | −0.441268 | − | 0.525883i | ||||
\(486\) | −18613.6 | + | 1197.97i | −1.73730 | + | 0.111813i | ||||
\(487\) | 6026.52 | + | 10438.2i | 0.560755 | + | 0.971255i | 0.997431 | + | 0.0716367i | \(0.0228222\pi\) |
−0.436676 | + | 0.899619i | \(0.643844\pi\) | |||||||
\(488\) | −10306.5 | − | 1623.64i | −0.956048 | − | 0.150612i | ||||
\(489\) | −10171.2 | − | 1793.46i | −0.940612 | − | 0.165855i | ||||
\(490\) | −6429.97 | + | 6140.85i | −0.592809 | + | 0.566154i | ||||
\(491\) | −3442.08 | − | 9457.05i | −0.316373 | − | 0.869227i | −0.991333 | − | 0.131373i | \(-0.958061\pi\) |
0.674960 | − | 0.737854i | \(-0.264161\pi\) | |||||||
\(492\) | −15237.9 | − | 29441.0i | −1.39630 | − | 2.69777i | ||||
\(493\) | − | 1133.55i | − | 0.103555i | ||||||
\(494\) | −1191.82 | − | 3499.72i | −0.108548 | − | 0.318745i | ||||
\(495\) | − | 38609.9i | − | 3.50583i | ||||||
\(496\) | 781.077 | + | 9440.13i | 0.0707084 | + | 0.854585i | ||||
\(497\) | 2611.59 | + | 7175.28i | 0.235706 | + | 0.647596i | ||||
\(498\) | 19932.0 | + | 20870.4i | 1.79352 | + | 1.87796i | ||||
\(499\) | 16406.1 | + | 2892.84i | 1.47182 | + | 0.259521i | 0.851304 | − | 0.524673i | \(-0.175812\pi\) |
0.620515 | + | 0.784194i | \(0.286924\pi\) | |||||||
\(500\) | −7943.62 | + | 8628.02i | −0.710499 | + | 0.771714i | ||||
\(501\) | 16948.8 | + | 29356.1i | 1.51141 | + | 2.61784i | ||||
\(502\) | −358.161 | − | 5564.97i | −0.0318436 | − | 0.494774i | ||||
\(503\) | −4401.94 | − | 5246.02i | −0.390204 | − | 0.465027i | 0.534803 | − | 0.844977i | \(-0.320386\pi\) |
−0.925007 | + | 0.379950i | \(0.875941\pi\) | |||||||
\(504\) | −28824.2 | − | 23301.9i | −2.54748 | − | 2.05942i | ||||
\(505\) | −7853.13 | + | 13602.0i | −0.692000 | + | 1.19858i | ||||
\(506\) | 1067.51 | − | 2158.27i | 0.0937874 | − | 0.189618i | ||||
\(507\) | 17523.8 | + | 6378.15i | 1.53503 | + | 0.558705i | ||||
\(508\) | 18357.7 | + | 11756.0i | 1.60332 | + | 1.02675i | ||||
\(509\) | −7989.05 | + | 1408.69i | −0.695695 | + | 0.122670i | −0.510303 | − | 0.859995i | \(-0.670467\pi\) |
−0.185392 | + | 0.982665i | \(0.559355\pi\) | |||||||
\(510\) | −2349.77 | − | 1727.18i | −0.204018 | − | 0.149963i | ||||
\(511\) | 586.183 | − | 698.586i | 0.0507460 | − | 0.0604768i | ||||
\(512\) | 9700.50 | − | 6333.87i | 0.837316 | − | 0.546719i | ||||
\(513\) | −28821.0 | + | 7789.27i | −2.48046 | + | 0.670380i | ||||
\(514\) | 8532.16 | − | 5686.47i | 0.732174 | − | 0.487976i | ||||
\(515\) | −5778.51 | − | 4848.75i | −0.494431 | − | 0.414877i | ||||
\(516\) | 22314.8 | + | 1026.99i | 1.90379 | + | 0.0876178i | ||||
\(517\) | −404.196 | − | 2292.31i | −0.0343840 | − | 0.195001i | ||||
\(518\) | −3925.36 | + | 1721.68i | −0.332955 | + | 0.146035i | ||||
\(519\) | 10850.5 | − | 29811.6i | 0.917699 | − | 2.52136i | ||||
\(520\) | −2832.58 | + | 2466.44i | −0.238878 | + | 0.208001i | ||||
\(521\) | −6925.69 | − | 3998.55i | −0.582380 | − | 0.336237i | 0.179699 | − | 0.983722i | \(-0.442488\pi\) |
−0.762079 | + | 0.647485i | \(0.775821\pi\) | |||||||
\(522\) | −5687.43 | + | 19427.4i | −0.476881 | + | 1.62896i | ||||
\(523\) | −10742.1 | + | 9013.71i | −0.898127 | + | 0.753618i | −0.969823 | − | 0.243809i | \(-0.921603\pi\) |
0.0716966 | + | 0.997426i | \(0.477159\pi\) | |||||||
\(524\) | −4824.44 | + | 3683.89i | −0.402207 | + | 0.307121i | ||||
\(525\) | −3023.05 | + | 1745.36i | −0.251308 | + | 0.145093i | ||||
\(526\) | −2415.23 | + | 587.987i | −0.200207 | + | 0.0487404i | ||||
\(527\) | −263.185 | + | 1492.59i | −0.0217543 | + | 0.123375i | ||||
\(528\) | 28404.6 | + | 20089.4i | 2.34120 | + | 1.65583i | ||||
\(529\) | −11222.0 | + | 4084.48i | −0.922333 | + | 0.335702i | ||||
\(530\) | 2996.77 | + | 331.774i | 0.245606 | + | 0.0271912i | ||||
\(531\) | −29672.2 | −2.42498 | ||||||||
\(532\) | −14888.0 | − | 7753.98i | −1.21331 | − | 0.631913i | ||||
\(533\) | −6831.42 | −0.555163 | ||||||||
\(534\) | 18092.6 | + | 2003.04i | 1.46618 | + | 0.162322i | ||||
\(535\) | 4429.93 | − | 1612.36i | 0.357986 | − | 0.130296i | ||||
\(536\) | −2221.28 | − | 5772.34i | −0.179001 | − | 0.465163i | ||||
\(537\) | −2831.42 | + | 16057.8i | −0.227532 | + | 1.29040i | ||||
\(538\) | 20155.4 | − | 4906.81i | 1.61517 | − | 0.393211i | ||||
\(539\) | 14698.2 | − | 8486.02i | 1.17458 | − | 0.678143i | ||||
\(540\) | 18406.9 | + | 24105.8i | 1.46686 | + | 1.92101i | ||||
\(541\) | 17044.0 | − | 14301.7i | 1.35449 | − | 1.13655i | 0.376853 | − | 0.926273i | \(-0.377006\pi\) |
0.977641 | − | 0.210282i | \(-0.0674381\pi\) | |||||||
\(542\) | 2387.98 | − | 8156.98i | 0.189248 | − | 0.646444i | ||||
\(543\) | −22213.7 | − | 12825.1i | −1.75558 | − | 1.01359i | ||||
\(544\) | 1758.79 | − | 585.493i | 0.138617 | − | 0.0461449i | ||||
\(545\) | 1038.65 | − | 2853.68i | 0.0816350 | − | 0.224290i | ||||
\(546\) | −9915.92 | + | 4349.17i | −0.777220 | + | 0.340892i | ||||
\(547\) | −3214.64 | − | 18231.1i | −0.251276 | − | 1.42506i | −0.805454 | − | 0.592659i | \(-0.798078\pi\) |
0.554178 | − | 0.832398i | \(-0.313033\pi\) | |||||||
\(548\) | −599.167 | + | 13018.9i | −0.0467065 | + | 1.01485i | ||||
\(549\) | 22837.4 | + | 19162.9i | 1.77537 | + | 1.48971i | ||||
\(550\) | 1923.31 | − | 1281.84i | 0.149109 | − | 0.0993776i | ||||
\(551\) | −779.302 | + | 9134.54i | −0.0602530 | + | 0.706251i | ||||
\(552\) | 622.340 | + | 3187.58i | 0.0479865 | + | 0.245783i | ||||
\(553\) | −771.995 | + | 920.028i | −0.0593645 | + | 0.0707479i | ||||
\(554\) | −18252.5 | − | 13416.4i | −1.39977 | − | 1.02889i | ||||
\(555\) | 5931.01 | − | 1045.80i | 0.453617 | − | 0.0799849i | ||||
\(556\) | −13514.0 | + | 21102.9i | −1.03080 | + | 1.60964i | ||||
\(557\) | 17447.0 | + | 6350.21i | 1.32721 | + | 0.483064i | 0.905761 | − | 0.423788i | \(-0.139300\pi\) |
0.421447 | + | 0.906853i | \(0.361522\pi\) | |||||||
\(558\) | 11999.5 | − | 24260.4i | 0.910355 | − | 1.84054i | ||||
\(559\) | 2301.67 | − | 3986.60i | 0.174150 | − | 0.301637i | ||||
\(560\) | −1566.36 | + | 16981.2i | −0.118198 | + | 1.28140i | ||||
\(561\) | 3578.19 | + | 4264.33i | 0.269290 | + | 0.320927i | ||||
\(562\) | 348.968 | + | 5422.14i | 0.0261928 | + | 0.406973i | ||||
\(563\) | 6836.44 | + | 11841.1i | 0.511761 | + | 0.886396i | 0.999907 | + | 0.0136343i | \(0.00434007\pi\) |
−0.488146 | + | 0.872762i | \(0.662327\pi\) | |||||||
\(564\) | 2309.77 | + | 2126.55i | 0.172445 | + | 0.158766i | ||||
\(565\) | −7233.51 | − | 1275.46i | −0.538612 | − | 0.0949719i | ||||
\(566\) | 2550.36 | + | 2670.43i | 0.189399 | + | 0.198316i | ||||
\(567\) | 14778.5 | + | 40603.7i | 1.09460 | + | 3.00740i | ||||
\(568\) | 5967.23 | + | 3301.24i | 0.440809 | + | 0.243868i | ||||
\(569\) | 22496.0i | 1.65744i | 0.559664 | + | 0.828720i | \(0.310930\pi\) | ||||
−0.559664 | + | 0.828720i | \(0.689070\pi\) | |||||||
\(570\) | 17747.8 | + | 15533.6i | 1.30416 | + | 1.14146i | ||||
\(571\) | 8286.53i | 0.607322i | 0.952780 | + | 0.303661i | \(0.0982090\pi\) | ||||
−0.952780 | + | 0.303661i | \(0.901791\pi\) | |||||||
\(572\) | 6367.15 | − | 3295.48i | 0.465427 | − | 0.240893i | ||||
\(573\) | −3750.38 | − | 10304.1i | −0.273428 | − | 0.751237i | ||||
\(574\) | −22431.1 | + | 21422.5i | −1.63110 | + | 1.55776i | ||||
\(575\) | 212.486 | + | 37.4671i | 0.0154109 | + | 0.00271736i | ||||
\(576\) | −33080.7 | + | 1210.02i | −2.39299 | + | 0.0875306i | ||||
\(577\) | −790.332 | − | 1368.90i | −0.0570225 | − | 0.0987658i | 0.836105 | − | 0.548569i | \(-0.184827\pi\) |
−0.893128 | + | 0.449804i | \(0.851494\pi\) | |||||||
\(578\) | −13571.4 | + | 873.453i | −0.976635 | + | 0.0628561i | ||||
\(579\) | −8756.34 | − | 10435.4i | −0.628499 | − | 0.749016i | ||||
\(580\) | 8889.07 | − | 2779.69i | 0.636376 | − | 0.199001i | ||||
\(581\) | 13501.1 | − | 23384.6i | 0.964061 | − | 1.66980i | ||||
\(582\) | −16922.0 | − | 8369.82i | −1.20522 | − | 0.596117i | ||||
\(583\) | −5408.23 | − | 1968.43i | −0.384195 | − | 0.139836i | ||||
\(584\) | −14.8881 | − | 814.320i | −0.00105492 | − | 0.0577000i | ||||
\(585\) | 10568.8 | − | 1863.57i | 0.746952 | − | 0.131708i | ||||
\(586\) | −6919.38 | + | 9413.56i | −0.487776 | + | 0.663601i | ||||
\(587\) | 10516.7 | − | 12533.3i | 0.739470 | − | 0.881266i | −0.256896 | − | 0.966439i | \(-0.582700\pi\) |
0.996366 | + | 0.0851727i | \(0.0271442\pi\) | |||||||
\(588\) | −8810.35 | + | 21129.1i | −0.617913 | + | 1.48188i | ||||
\(589\) | 3146.96 | − | 11846.9i | 0.220150 | − | 0.828764i | ||||
\(590\) | 7571.22 | + | 11360.1i | 0.528309 | + | 0.792691i | ||||
\(591\) | 15400.2 | + | 12922.3i | 1.07188 | + | 0.899413i | ||||
\(592\) | −1634.18 | + | 3461.80i | −0.113453 | + | 0.240337i | ||||
\(593\) | 1010.19 | + | 5729.05i | 0.0699551 | + | 0.396735i | 0.999600 | + | 0.0282785i | \(0.00900253\pi\) |
−0.929645 | + | 0.368456i | \(0.879886\pi\) | |||||||
\(594\) | −23254.6 | − | 53019.4i | −1.60631 | − | 3.66231i | ||||
\(595\) | −933.233 | + | 2564.04i | −0.0643006 | + | 0.176664i | ||||
\(596\) | 9098.85 | − | 1176.07i | 0.625341 | − | 0.0808286i | ||||
\(597\) | 5711.10 | + | 3297.31i | 0.391524 | + | 0.226047i | ||||
\(598\) | 642.315 | + | 188.039i | 0.0439234 | + | 0.0128587i | ||||
\(599\) | 17767.3 | − | 14908.5i | 1.21194 | − | 1.01694i | 0.212734 | − | 0.977110i | \(-0.431763\pi\) |
0.999207 | − | 0.0398285i | \(-0.0126812\pi\) | |||||||
\(600\) | −1012.54 | + | 2948.56i | −0.0688948 | + | 0.200624i | ||||
\(601\) | 8904.16 | − | 5140.82i | 0.604340 | − | 0.348916i | −0.166407 | − | 0.986057i | \(-0.553217\pi\) |
0.770747 | + | 0.637142i | \(0.219883\pi\) | |||||||
\(602\) | −4943.92 | − | 20307.8i | −0.334716 | − | 1.37489i | ||||
\(603\) | −3068.80 | + | 17404.0i | −0.207249 | + | 1.17537i | ||||
\(604\) | −22873.3 | − | 5127.49i | −1.54090 | − | 0.345422i | ||||
\(605\) | 18709.9 | − | 6809.86i | 1.25730 | − | 0.457620i | ||||
\(606\) | −4449.83 | + | 40193.3i | −0.298287 | + | 2.69429i | ||||
\(607\) | 27479.8 | 1.83751 | 0.918757 | − | 0.394823i | \(-0.129194\pi\) | ||||
0.918757 | + | 0.394823i | \(0.129194\pi\) | |||||||
\(608\) | −14575.4 | + | 3508.95i | −0.972223 | + | 0.234057i | ||||
\(609\) | 26849.7 | 1.78655 | ||||||||
\(610\) | 1509.32 | − | 13633.0i | 0.100181 | − | 0.904892i | ||||
\(611\) | 607.971 | − | 221.283i | 0.0402551 | − | 0.0146517i | ||||
\(612\) | −5168.32 | − | 1158.58i | −0.341368 | − | 0.0765240i | ||||
\(613\) | −2525.22 | + | 14321.2i | −0.166383 | + | 0.943603i | 0.781245 | + | 0.624225i | \(0.214585\pi\) |
−0.947627 | + | 0.319378i | \(0.896526\pi\) | |||||||
\(614\) | −1861.69 | − | 7647.12i | −0.122364 | − | 0.502626i | ||||
\(615\) | 37742.1 | − | 21790.4i | 2.47465 | − | 1.42874i | ||||
\(616\) | 10572.4 | − | 30787.3i | 0.691518 | − | 2.01373i | ||||
\(617\) | −12439.8 | + | 10438.2i | −0.811679 | + | 0.681080i | −0.951008 | − | 0.309166i | \(-0.899950\pi\) |
0.139329 | + | 0.990246i | \(0.455506\pi\) | |||||||
\(618\) | −18639.4 | − | 5456.75i | −1.21325 | − | 0.355182i | ||||
\(619\) | 16993.1 | + | 9810.98i | 1.10341 | + | 0.637054i | 0.937115 | − | 0.349022i | \(-0.113486\pi\) |
0.166296 | + | 0.986076i | \(0.446819\pi\) | |||||||
\(620\) | −12350.0 | + | 1596.30i | −0.799978 | + | 0.103401i | ||||
\(621\) | 1848.47 | − | 5078.62i | 0.119447 | − | 0.328177i | ||||
\(622\) | −11914.1 | − | 27163.7i | −0.768026 | − | 1.75107i | ||||
\(623\) | −2957.52 | − | 16773.0i | −0.190194 | − | 1.07864i | ||||
\(624\) | −4128.13 | + | 8744.92i | −0.264836 | + | 0.561021i | ||||
\(625\) | −10432.7 | − | 8754.09i | −0.667694 | − | 0.560262i | ||||
\(626\) | 2331.78 | + | 3498.68i | 0.148877 | + | 0.223379i | ||||
\(627\) | −25902.6 | − | 36823.3i | −1.64984 | − | 2.34542i | ||||
\(628\) | 5624.85 | − | 13489.6i | 0.357414 | − | 0.857153i | ||||
\(629\) | −393.719 | + | 469.216i | −0.0249580 | + | 0.0297438i | ||||
\(630\) | 28858.9 | − | 39261.5i | 1.82503 | − | 2.48288i | ||||
\(631\) | −6722.56 | + | 1185.37i | −0.424122 | + | 0.0747841i | −0.381635 | − | 0.924313i | \(-0.624639\pi\) |
−0.0424864 | + | 0.999097i | \(0.513528\pi\) | |||||||
\(632\) | 19.6074 | + | 1072.45i | 0.00123408 | + | 0.0674995i | ||||
\(633\) | −15806.6 | − | 5753.12i | −0.992503 | − | 0.361242i | ||||
\(634\) | 12786.8 | + | 6324.49i | 0.800990 | + | 0.396179i | ||||
\(635\) | −14329.0 | + | 24818.6i | −0.895479 | + | 1.55102i | ||||
\(636\) | 7409.11 | − | 2316.90i | 0.461934 | − | 0.144451i | ||||
\(637\) | 3032.34 | + | 3613.80i | 0.188611 | + | 0.224778i | ||||
\(638\) | −17741.4 | + | 1141.83i | −1.10092 | + | 0.0708553i | ||||
\(639\) | −9742.82 | − | 16875.1i | −0.603161 | − | 1.04471i | ||||
\(640\) | 8904.20 | + | 12356.3i | 0.549952 | + | 0.763165i | ||||
\(641\) | −9567.76 | − | 1687.05i | −0.589553 | − | 0.103954i | −0.129090 | − | 0.991633i | \(-0.541206\pi\) |
−0.460463 | + | 0.887679i | \(0.652317\pi\) | |||||||
\(642\) | 8777.75 | − | 8383.06i | 0.539611 | − | 0.515348i | ||||
\(643\) | 2841.20 | + | 7806.14i | 0.174255 | + | 0.478762i | 0.995818 | − | 0.0913553i | \(-0.0291199\pi\) |
−0.821563 | + | 0.570118i | \(0.806898\pi\) | |||||||
\(644\) | 2698.72 | − | 1396.79i | 0.165131 | − | 0.0854676i | ||||
\(645\) | 29366.8i | 1.79274i | ||||||||
\(646\) | −2398.24 | − | 49.9780i | −0.146064 | − | 0.00304390i | ||||
\(647\) | 14378.2i | 0.873674i | 0.899541 | + | 0.436837i | \(0.143901\pi\) | ||||
−0.899541 | + | 0.436837i | \(0.856099\pi\) | |||||||
\(648\) | 33767.6 | + | 18681.1i | 2.04709 | + | 1.13251i | ||||
\(649\) | −8912.84 | − | 24487.8i | −0.539075 | − | 1.48110i | ||||
\(650\) | 443.712 | + | 464.603i | 0.0267751 | + | 0.0280357i | ||||
\(651\) | −35354.1 | − | 6233.88i | −2.12847 | − | 0.375307i | ||||
\(652\) | 6349.32 | + | 5845.68i | 0.381378 | + | 0.351126i | ||||
\(653\) | −13507.7 | − | 23396.1i | −0.809491 | − | 1.40208i | −0.913217 | − | 0.407474i | \(-0.866410\pi\) |
0.103725 | − | 0.994606i | \(-0.466924\pi\) | |||||||
\(654\) | −502.184 | − | 7802.76i | −0.0300259 | − | 0.466532i | ||||
\(655\) | −5129.42 | − | 6113.00i | −0.305989 | − | 0.364664i | ||||
\(656\) | −2544.43 | + | 27584.6i | −0.151438 | + | 1.64176i | ||||
\(657\) | −1163.58 | + | 2015.39i | −0.0690955 | + | 0.119677i | ||||
\(658\) | 1302.36 | − | 2633.11i | 0.0771602 | − | 0.156002i | ||||
\(659\) | −18905.6 | − | 6881.07i | −1.11754 | − | 0.406750i | −0.283784 | − | 0.958888i | \(-0.591590\pi\) |
−0.833753 | + | 0.552138i | \(0.813812\pi\) | |||||||
\(660\) | −24665.4 | + | 38516.3i | −1.45470 | + | 2.27159i | ||||
\(661\) | −10325.9 | + | 1820.73i | −0.607610 | + | 0.107138i | −0.468984 | − | 0.883207i | \(-0.655380\pi\) |
−0.138626 | + | 0.990345i | \(0.544269\pi\) | |||||||
\(662\) | −6370.04 | − | 4682.26i | −0.373986 | − | 0.274896i | ||||
\(663\) | −994.579 | + | 1185.29i | −0.0582598 | + | 0.0694313i | ||||
\(664\) | −4621.08 | − | 23668.8i | −0.270080 | − | 1.38333i | ||||
\(665\) | 9283.04 | − | 20020.3i | 0.541324 | − | 1.16745i | ||||
\(666\) | 9101.97 | − | 6066.24i | 0.529571 | − | 0.352946i | ||||
\(667\) | −1271.33 | − | 1066.77i | −0.0738022 | − | 0.0619274i | ||||
\(668\) | 1302.26 | − | 28295.9i | 0.0754280 | − | 1.63892i | ||||
\(669\) | −2305.50 | − | 13075.1i | −0.133237 | − | 0.755625i | ||||
\(670\) | 7446.23 | − | 3265.95i | 0.429363 | − | 0.188320i | ||||
\(671\) | −8954.86 | + | 24603.3i | −0.515199 | + | 1.41550i | ||||
\(672\) | 13868.2 | + | 41659.3i | 0.796097 | + | 2.39143i | ||||
\(673\) | −21.9615 | − | 12.6795i | −0.00125788 | − | 0.000726238i | 0.499371 | − | 0.866388i | \(-0.333565\pi\) |
−0.500629 | + | 0.865662i | \(0.666898\pi\) | |||||||
\(674\) | −5538.82 | + | 18919.8i | −0.316539 | + | 1.08125i | ||||
\(675\) | 3974.17 | − | 3334.72i | 0.226616 | − | 0.190153i | ||||
\(676\) | −9457.29 | − | 12385.3i | −0.538080 | − | 0.704672i | ||||
\(677\) | 9774.49 | − | 5643.31i | 0.554896 | − | 0.320369i | −0.196199 | − | 0.980564i | \(-0.562860\pi\) |
0.751094 | + | 0.660195i | \(0.229526\pi\) | |||||||
\(678\) | −18374.7 | + | 4473.32i | −1.04082 | + | 0.253388i | ||||
\(679\) | −3067.30 | + | 17395.6i | −0.173361 | + | 0.983181i | ||||
\(680\) | 875.194 | + | 2274.33i | 0.0493561 | + | 0.128260i | ||||
\(681\) | 36880.4 | − | 13423.4i | 2.07527 | − | 0.755337i | ||||
\(682\) | 23625.9 | + | 2615.64i | 1.32652 | + | 0.146859i | ||||
\(683\) | −5344.84 | −0.299436 | −0.149718 | − | 0.988729i | \(-0.547837\pi\) | ||||
−0.149718 | + | 0.988729i | \(0.547837\pi\) | |||||||
\(684\) | 40851.5 | + | 12889.3i | 2.28362 | + | 0.720521i | ||||
\(685\) | −17133.2 | −0.955657 | ||||||||
\(686\) | −3141.10 | − | 347.753i | −0.174822 | − | 0.0193546i | ||||
\(687\) | 19506.5 | − | 7099.78i | 1.08329 | − | 0.394284i | ||||
\(688\) | −15240.2 | − | 10778.7i | −0.844516 | − | 0.597290i | ||||
\(689\) | 277.789 | − | 1575.42i | 0.0153598 | − | 0.0871098i | ||||
\(690\) | −4148.45 | + | 1009.94i | −0.228882 | + | 0.0557213i | ||||
\(691\) | −18938.9 | + | 10934.4i | −1.04265 | + | 0.601973i | −0.920582 | − | 0.390549i | \(-0.872285\pi\) |
−0.122066 | + | 0.992522i | \(0.538952\pi\) | |||||||
\(692\) | −21070.0 | + | 16088.8i | −1.15746 | + | 0.883821i | ||||
\(693\) | −71251.2 | + | 59786.9i | −3.90564 | + | 3.27722i | ||||
\(694\) | −6831.19 | + | 23334.4i | −0.373643 | + | 1.27631i | ||||
\(695\) | −28530.0 | − | 16471.8i | −1.55713 | − | 0.899007i | ||||
\(696\) | 18084.6 | − | 15747.0i | 0.984906 | − | 0.857598i | ||||
\(697\) | −1515.96 | + | 4165.07i | −0.0823833 | + | 0.226346i | ||||
\(698\) | −18917.6 | + | 8297.36i | −1.02585 | + | 0.449942i | ||||
\(699\) | 8132.18 | + | 46119.9i | 0.440039 | + | 2.49559i | ||||
\(700\) | 2913.87 | + | 134.105i | 0.157334 | + | 0.00724097i | ||||
\(701\) | 29.9588 | + | 25.1384i | 0.00161416 | + | 0.00135444i | 0.643594 | − | 0.765367i | \(-0.277442\pi\) |
−0.641980 | + | 0.766721i | \(0.721887\pi\) | |||||||
\(702\) | 13390.7 | − | 8924.60i | 0.719945 | − | 0.479825i | ||||
\(703\) | 3495.29 | − | 3510.41i | 0.187521 | − | 0.188333i | ||||
\(704\) | −10935.3 | − | 26937.3i | −0.585425 | − | 1.44210i | ||||
\(705\) | −2653.07 | + | 3161.81i | −0.141731 | + | 0.168909i | ||||
\(706\) | 1783.57 | + | 1311.01i | 0.0950788 | + | 0.0698871i | ||||
\(707\) | 37261.8 | − | 6570.25i | 1.98214 | − | 0.349505i | ||||
\(708\) | 29600.3 | + | 18955.7i | 1.57125 | + | 1.00621i | ||||
\(709\) | 9850.75 | + | 3585.38i | 0.521795 | + | 0.189918i | 0.589471 | − | 0.807789i | \(-0.299336\pi\) |
−0.0676760 | + | 0.997707i | \(0.521558\pi\) | |||||||
\(710\) | −3974.67 | + | 8035.94i | −0.210094 | + | 0.424766i | ||||
\(711\) | 1532.42 | − | 2654.24i | 0.0808304 | − | 0.140002i | ||||
\(712\) | −11829.1 | − | 9562.85i | −0.622634 | − | 0.503347i | ||||
\(713\) | 1426.33 | + | 1699.84i | 0.0749180 | + | 0.0892838i | ||||
\(714\) | 451.214 | + | 7010.80i | 0.0236502 | + | 0.367468i | ||||
\(715\) | 4712.59 | + | 8162.44i | 0.246491 | + | 0.426934i | ||||
\(716\) | 9228.81 | − | 10023.9i | 0.481699 | − | 0.523201i | ||||
\(717\) | 8664.39 | + | 1527.77i | 0.451294 | + | 0.0795752i | ||||
\(718\) | 18657.3 | + | 19535.7i | 0.969755 | + | 1.01541i | ||||
\(719\) | −11.3152 | − | 31.0882i | −0.000586906 | − | 0.00161251i | 0.939399 | − | 0.342826i | \(-0.111384\pi\) |
−0.939986 | + | 0.341214i | \(0.889162\pi\) | |||||||
\(720\) | −3588.42 | − | 43369.9i | −0.185740 | − | 2.24486i | ||||
\(721\) | 18171.9i | 0.938639i | ||||||||
\(722\) | 19291.4 | + | 2051.49i | 0.994393 | + | 0.105746i | ||||
\(723\) | − | 32539.9i | − | 1.67382i | ||||||
\(724\) | 9852.32 | + | 19035.6i | 0.505744 | + | 0.977142i | ||||
\(725\) | −544.865 | − | 1497.00i | −0.0279114 | − | 0.0766859i | ||||
\(726\) | 37073.1 | − | 35406.1i | 1.89519 | − | 1.80998i | ||||
\(727\) | −9166.96 | − | 1616.38i | −0.467653 | − | 0.0824598i | −0.0651440 | − | 0.997876i | \(-0.520751\pi\) |
−0.402509 | + | 0.915416i | \(0.631862\pi\) | |||||||
\(728\) | 8937.79 | + | 1408.03i | 0.455023 | + | 0.0716826i | ||||
\(729\) | −8542.66 | − | 14796.3i | −0.434012 | − | 0.751731i | ||||
\(730\) | 1068.50 | − | 68.7685i | 0.0541739 | − | 0.00348663i | ||||
\(731\) | −1919.84 | − | 2287.98i | −0.0971380 | − | 0.115765i | ||||
\(732\) | −10540.1 | − | 33705.8i | −0.532204 | − | 1.70191i | ||||
\(733\) | 12113.5 | − | 20981.2i | 0.610399 | − | 1.05724i | −0.380774 | − | 0.924668i | \(-0.624342\pi\) |
0.991173 | − | 0.132575i | \(-0.0423244\pi\) | |||||||
\(734\) | −29358.0 | − | 14520.8i | −1.47633 | − | 0.730209i | ||||
\(735\) | −28280.1 | − | 10293.1i | −1.41922 | − | 0.516553i | ||||
\(736\) | 998.520 | − | 2523.56i | 0.0500080 | − | 0.126386i | ||||
\(737\) | −15285.0 | + | 2695.15i | −0.763947 | + | 0.134705i | ||||
\(738\) | 46879.0 | − | 63777.1i | 2.33827 | − | 3.18112i | ||||
\(739\) | 7630.22 | − | 9093.35i | 0.379814 | − | 0.452644i | −0.541942 | − | 0.840416i | \(-0.682311\pi\) |
0.921755 | + | 0.387772i | \(0.126755\pi\) | |||||||
\(740\) | −4644.96 | − | 1936.84i | −0.230746 | − | 0.0962159i | ||||
\(741\) | 8829.51 | − | 8867.72i | 0.437733 | − | 0.439627i | ||||
\(742\) | −4028.19 | − | 6044.01i | −0.199298 | − | 0.299033i | ||||
\(743\) | 5842.08 | + | 4902.09i | 0.288459 | + | 0.242046i | 0.775521 | − | 0.631321i | \(-0.217487\pi\) |
−0.487062 | + | 0.873367i | \(0.661932\pi\) | |||||||
\(744\) | −27468.8 | + | 16535.9i | −1.35357 | + | 0.814831i | ||||
\(745\) | 2094.40 | + | 11877.9i | 0.102997 | + | 0.584125i | ||||
\(746\) | 14440.6 | + | 32924.0i | 0.708725 | + | 1.61586i | ||||
\(747\) | −23567.4 | + | 64751.0i | −1.15433 | + | 3.17150i | ||||
\(748\) | −596.294 | − | 4613.31i | −0.0291480 | − | 0.225507i | ||||
\(749\) | −9835.15 | − | 5678.33i | −0.479798 | − | 0.277011i | ||||
\(750\) | −38097.4 | − | 11153.1i | −1.85483 | − | 0.543006i | ||||
\(751\) | −1658.97 | + | 1392.04i | −0.0806081 | + | 0.0676383i | −0.682201 | − | 0.731164i | \(-0.738977\pi\) |
0.601593 | + | 0.798803i | \(0.294533\pi\) | |||||||
\(752\) | −667.074 | − | 2537.34i | −0.0323480 | − | 0.123042i | ||||
\(753\) | 16346.4 | − | 9437.58i | 0.791096 | − | 0.456739i | ||||
\(754\) | −1168.87 | − | 4801.29i | −0.0564560 | − | 0.231900i | ||||
\(755\) | 5351.20 | − | 30348.1i | 0.257947 | − | 1.46289i | ||||
\(756\) | 15982.3 | − | 71295.7i | 0.768875 | − | 3.42989i | ||||
\(757\) | −33603.1 | + | 12230.5i | −1.61338 | + | 0.587221i | −0.982104 | − | 0.188339i | \(-0.939690\pi\) |
−0.631273 | + | 0.775560i | \(0.717467\pi\) | |||||||
\(758\) | −2615.07 | + | 23620.8i | −0.125308 | + | 1.13185i | ||||
\(759\) | 8150.02 | 0.389759 | ||||||||
\(760\) | −5489.03 | − | 18929.0i | −0.261984 | − | 0.903456i | ||||
\(761\) | −14687.3 | −0.699624 | −0.349812 | − | 0.936820i | \(-0.613754\pi\) | ||||
−0.349812 | + | 0.936820i | \(0.613754\pi\) | |||||||
\(762\) | −8119.26 | + | 73337.7i | −0.385997 | + | 3.48654i | ||||
\(763\) | −6874.55 | + | 2502.13i | −0.326180 | + | 0.118720i | ||||
\(764\) | −2004.32 | + | 8941.10i | −0.0949132 | + | 0.423400i | ||||
\(765\) | 1209.12 | − | 6857.28i | 0.0571450 | − | 0.324086i | ||||
\(766\) | 1576.10 | + | 6474.02i | 0.0743430 | + | 0.305373i | ||||
\(767\) | 6272.93 | − | 3621.68i | 0.295310 | − | 0.170497i | ||||
\(768\) | 33773.5 | + | 19926.1i | 1.58684 | + | 0.936224i | ||||
\(769\) | 13850.6 | − | 11622.1i | 0.649501 | − | 0.544996i | −0.257418 | − | 0.966300i | \(-0.582872\pi\) |
0.906920 | + | 0.421304i | \(0.138427\pi\) | |||||||
\(770\) | 41070.2 | + | 12023.4i | 1.92216 | + | 0.562719i | ||||
\(771\) | 30056.1 | + | 17352.9i | 1.40395 | + | 0.810569i | ||||
\(772\) | 1459.22 | + | 11289.4i | 0.0680289 | + | 0.526315i | ||||
\(773\) | 9485.73 | − | 26061.8i | 0.441369 | − | 1.21265i | −0.497224 | − | 0.867622i | \(-0.665647\pi\) |
0.938592 | − | 0.345028i | \(-0.112131\pi\) | |||||||
\(774\) | 21423.7 | + | 48845.1i | 0.994907 | + | 2.26835i | ||||
\(775\) | 369.876 | + | 2097.67i | 0.0171436 | + | 0.0972264i | ||||
\(776\) | 8136.27 | + | 13515.7i | 0.376385 | + | 0.625238i | ||||
\(777\) | −11114.0 | − | 9325.75i | −0.513144 | − | 0.430579i | ||||
\(778\) | −13167.0 | − | 19756.1i | −0.606758 | − | 0.910399i | ||||
\(779\) | 15079.5 | − | 32521.3i | 0.693557 | − | 1.49576i | ||||
\(780\) | −11733.7 | − | 4892.69i | −0.538633 | − | 0.224598i | ||||
\(781\) | 11000.1 | − | 13109.4i | 0.503988 | − | 0.600630i | ||||
\(782\) | 257.183 | − | 349.887i | 0.0117607 | − | 0.0159999i | ||||
\(783\) | −39297.9 | + | 6929.27i | −1.79360 | + | 0.316261i | ||||
\(784\) | 15721.6 | − | 10898.3i | 0.716179 | − | 0.496458i | ||||
\(785\) | 18055.0 | + | 6571.49i | 0.820906 | + | 0.298785i | ||||
\(786\) | −18416.4 | − | 9108.97i | −0.835740 | − | 0.413367i | ||||
\(787\) | −11992.8 | + | 20772.1i | −0.543198 | + | 0.940846i | 0.455520 | + | 0.890225i | \(0.349453\pi\) |
−0.998718 | + | 0.0506207i | \(0.983880\pi\) | |||||||
\(788\) | −5013.82 | − | 16033.5i | −0.226662 | − | 0.724834i | ||||
\(789\) | −5408.29 | − | 6445.35i | −0.244031 | − | 0.290824i | ||||
\(790\) | −1407.20 | + | 90.5672i | −0.0633745 | + | 0.00407878i | ||||
\(791\) | 8847.21 | + | 15323.8i | 0.397687 | + | 0.688815i | ||||
\(792\) | −12927.0 | + | 82057.2i | −0.579975 | + | 3.68153i | ||||
\(793\) | −7166.95 | − | 1263.73i | −0.320940 | − | 0.0565905i | ||||
\(794\) | −14546.0 | + | 13892.0i | −0.650150 | + | 0.620917i | ||||
\(795\) | 3490.45 | + | 9589.92i | 0.155715 | + | 0.427823i | ||||
\(796\) | −2533.01 | − | 4894.00i | −0.112789 | − | 0.217919i | ||||
\(797\) | 22555.6i | 1.00246i | 0.865314 | + | 0.501230i | \(0.167119\pi\) | ||||
−0.865314 | + | 0.501230i | \(0.832881\pi\) | |||||||
\(798\) | 1183.80 | − | 56805.5i | 0.0525137 | − | 2.51991i | ||||
\(799\) | − | 419.781i | − | 0.0185867i | ||||||
\(800\) | 2041.28 | − | 1618.62i | 0.0902128 | − | 0.0715334i | ||||
\(801\) | 14865.2 | + | 40841.9i | 0.655727 | + | 1.80159i | ||||
\(802\) | −60.8279 | − | 63.6918i | −0.00267819 | − | 0.00280428i | ||||
\(803\) | −2012.77 | − | 354.905i | −0.0884546 | − | 0.0155969i | ||||
\(804\) | 14179.7 | − | 15401.4i | 0.621989 | − | 0.675578i | ||||
\(805\) | 1997.43 | + | 3459.65i | 0.0874535 | + | 0.151474i | ||||
\(806\) | 424.353 | + | 6593.44i | 0.0185449 | + | 0.288144i | ||||
\(807\) | 45132.7 | + | 53787.1i | 1.96871 | + | 2.34621i | ||||
\(808\) | 21244.2 | − | 26278.9i | 0.924963 | − | 1.14417i | ||||
\(809\) | −4393.17 | + | 7609.19i | −0.190922 | + | 0.330686i | −0.945556 | − | 0.325460i | \(-0.894481\pi\) |
0.754634 | + | 0.656146i | \(0.227814\pi\) | |||||||
\(810\) | −22492.0 | + | 45474.1i | −0.975664 | + | 1.97259i | ||||
\(811\) | 33962.0 | + | 12361.2i | 1.47049 | + | 0.535215i | 0.948234 | − | 0.317573i | \(-0.102868\pi\) |
0.522257 | + | 0.852788i | \(0.325090\pi\) | |||||||
\(812\) | −18894.2 | − | 12099.7i | −0.816574 | − | 0.522925i | ||||
\(813\) | 28331.4 | − | 4995.58i | 1.22217 | − | 0.215502i | ||||
\(814\) | 7740.36 | + | 5689.50i | 0.333292 | + | 0.244984i | ||||
\(815\) | −7293.04 | + | 8691.51i | −0.313453 | + | 0.373559i | ||||
\(816\) | 4415.65 | + | 4457.48i | 0.189435 | + | 0.191229i | ||||
\(817\) | 13897.8 | + | 19757.1i | 0.595130 | + | 0.846040i | ||||
\(818\) | 26328.4 | − | 17547.2i | 1.12537 | − | 0.750029i | ||||
\(819\) | −19804.7 | − | 16618.1i | −0.844971 | − | 0.709015i | ||||
\(820\) | −36379.0 | − | 1674.27i | −1.54928 | − | 0.0713023i | ||||
\(821\) | 633.179 | + | 3590.94i | 0.0269161 | + | 0.152649i | 0.995304 | − | 0.0968015i | \(-0.0308612\pi\) |
−0.968388 | + | 0.249450i | \(0.919750\pi\) | |||||||
\(822\) | −40397.8 | + | 17718.7i | −1.71416 | + | 0.751836i | ||||
\(823\) | 4754.58 | − | 13063.1i | 0.201378 | − | 0.553282i | −0.797360 | − | 0.603504i | \(-0.793771\pi\) |
0.998738 | + | 0.0502219i | \(0.0159929\pi\) | |||||||
\(824\) | 10657.6 | + | 12239.7i | 0.450576 | + | 0.517463i | ||||
\(825\) | 6775.20 | + | 3911.66i | 0.285918 | + | 0.165075i | ||||
\(826\) | 9240.13 | − | 31562.9i | 0.389231 | − | 1.32956i | ||||
\(827\) | −15069.1 | + | 12644.5i | −0.633619 | + | 0.531670i | −0.902051 | − | 0.431629i | \(-0.857939\pi\) |
0.268432 | + | 0.963299i | \(0.413495\pi\) | |||||||
\(828\) | −6163.24 | + | 4706.18i | −0.258680 | + | 0.197525i | ||||
\(829\) | −12562.5 | + | 7252.94i | −0.526312 | + | 0.303866i | −0.739513 | − | 0.673142i | \(-0.764944\pi\) |
0.213202 | + | 0.977008i | \(0.431611\pi\) | |||||||
\(830\) | 30803.6 | − | 7499.13i | 1.28820 | − | 0.313613i | ||||
\(831\) | 13314.5 | − | 75510.1i | 0.555805 | − | 3.15213i | ||||
\(832\) | 6845.82 | − | 4293.52i | 0.285260 | − | 0.178907i | ||||
\(833\) | 2876.21 | − | 1046.86i | 0.119634 | − | 0.0435431i | ||||
\(834\) | −84304.6 | − | 9333.43i | −3.50028 | − | 0.387518i | ||||
\(835\) | 37238.1 | 1.54332 | ||||||||
\(836\) | 1633.55 | + | 37585.5i | 0.0675806 | + | 1.55493i | ||||
\(837\) | 53353.9 | 2.20332 | ||||||||
\(838\) | 5445.13 | + | 602.834i | 0.224462 | + | 0.0248503i | ||||
\(839\) | −17838.0 | + | 6492.51i | −0.734013 | + | 0.267159i | −0.681863 | − | 0.731480i | \(-0.738830\pi\) |
−0.0521506 | + | 0.998639i | \(0.516608\pi\) | |||||||
\(840\) | −53870.6 | + | 20730.2i | −2.21275 | + | 0.851498i | ||||
\(841\) | 2107.30 | − | 11951.1i | 0.0864037 | − | 0.490020i | ||||
\(842\) | 16998.9 | − | 4138.38i | 0.695749 | − | 0.169380i | ||||
\(843\) | −15926.8 | + | 9195.36i | −0.650711 | + | 0.375688i | ||||
\(844\) | 8530.52 | + | 11171.6i | 0.347906 | + | 0.455620i | ||||
\(845\) | 15693.3 | − | 13168.3i | 0.638896 | − | 0.536097i | ||||
\(846\) | −2106.19 | + | 7194.43i | −0.0855936 | + | 0.292375i | ||||
\(847\) | −41539.0 | − | 23982.6i | −1.68512 | − | 0.972905i | ||||
\(848\) | −6257.91 | − | 1708.46i | −0.253417 | − | 0.0691849i | ||||
\(849\) | −4274.83 | + | 11745.0i | −0.172805 | + | 0.474779i | ||||
\(850\) | 381.730 | − | 167.428i | 0.0154038 | − | 0.00675617i | ||||
\(851\) | 155.722 | + | 883.146i | 0.00627273 | + | 0.0355744i | ||||
\(852\) | −1061.21 | + | 23058.2i | −0.0426717 | + | 0.927185i | ||||
\(853\) | 2676.38 | + | 2245.75i | 0.107430 | + | 0.0901443i | 0.694920 | − | 0.719087i | \(-0.255440\pi\) |
−0.587491 | + | 0.809231i | \(0.699884\pi\) | |||||||
\(854\) | −27495.6 | + | 18325.2i | −1.10173 | + | 0.734279i | ||||
\(855\) | −14457.8 | + | 54426.9i | −0.578299 | + | 2.17703i | ||||
\(856\) | −9954.71 | + | 1943.55i | −0.397482 | + | 0.0776042i | ||||
\(857\) | −8941.48 | + | 10656.0i | −0.356400 | + | 0.424742i | −0.914218 | − | 0.405222i | \(-0.867194\pi\) |
0.557818 | + | 0.829963i | \(0.311639\pi\) | |||||||
\(858\) | 19553.0 | + | 14372.4i | 0.778007 | + | 0.571869i | ||||
\(859\) | 27407.6 | − | 4832.70i | 1.08863 | − | 0.191955i | 0.399603 | − | 0.916688i | \(-0.369148\pi\) |
0.689030 | + | 0.724733i | \(0.258037\pi\) | |||||||
\(860\) | 13234.0 | − | 20665.5i | 0.524738 | − | 0.819405i | ||||
\(861\) | −98655.4 | − | 35907.6i | −3.90495 | − | 1.42129i | ||||
\(862\) | 11784.1 | − | 23825.0i | 0.465624 | − | 0.941394i | ||||
\(863\) | −6548.14 | + | 11341.7i | −0.258286 | + | 0.447365i | −0.965783 | − | 0.259352i | \(-0.916491\pi\) |
0.707497 | + | 0.706717i | \(0.249825\pi\) | |||||||
\(864\) | −31049.1 | − | 57394.5i | −1.22258 | − | 2.25995i | ||||
\(865\) | −22401.9 | − | 26697.6i | −0.880565 | − | 1.04942i | ||||
\(866\) | 1397.66 | + | 21716.3i | 0.0548435 | + | 0.852138i | ||||
\(867\) | −23015.6 | − | 39864.2i | −0.901558 | − | 1.56154i | ||||
\(868\) | 22069.5 | + | 20318.9i | 0.863006 | + | 0.794550i | ||||
\(869\) | 2650.79 | + | 467.406i | 0.103477 | + | 0.0182459i | ||||
\(870\) | 21772.6 | + | 22797.7i | 0.848461 | + | 0.888408i | ||||
\(871\) | −1475.50 | − | 4053.91i | −0.0574002 | − | 0.157706i | ||||
\(872\) | −3162.88 | + | 5717.13i | −0.122831 | + | 0.222026i | ||||
\(873\) | − | 45076.3i | − | 1.74754i | ||||||
\(874\) | −2313.00 | + | 2642.70i | −0.0895177 | + | 0.102277i | ||||
\(875\) | 37141.9i | 1.43500i | ||||||||
\(876\) | 2448.27 | − | 1267.16i | 0.0944284 | − | 0.0488737i | ||||
\(877\) | 3562.84 | + | 9788.83i | 0.137182 | + | 0.376904i | 0.989193 | − | 0.146620i | \(-0.0468393\pi\) |
−0.852011 | + | 0.523524i | \(0.824617\pi\) | |||||||
\(878\) | 14940.9 | − | 14269.1i | 0.574294 | − | 0.548471i | ||||
\(879\) | −38943.7 | − | 6866.82i | −1.49435 | − | 0.263495i | ||||
\(880\) | 34714.3 | − | 15988.7i | 1.32979 | − | 0.612478i | ||||
\(881\) | 15697.0 | + | 27188.0i | 0.600278 | + | 1.03971i | 0.992779 | + | 0.119960i | \(0.0382767\pi\) |
−0.392501 | + | 0.919752i | \(0.628390\pi\) | |||||||
\(882\) | −54546.5 | + | 3510.61i | −2.08240 | + | 0.134023i | ||||
\(883\) | −16099.8 | − | 19187.0i | −0.613591 | − | 0.731250i | 0.366363 | − | 0.930472i | \(-0.380603\pi\) |
−0.979954 | + | 0.199222i | \(0.936158\pi\) | |||||||
\(884\) | 1234.03 | − | 385.894i | 0.0469514 | − | 0.0146821i | ||||
\(885\) | −23104.4 | + | 40018.0i | −0.877566 | + | 1.51999i | ||||
\(886\) | 513.979 | + | 254.220i | 0.0194892 | + | 0.00963960i | ||||
\(887\) | −18791.9 | − | 6839.69i | −0.711353 | − | 0.258911i | −0.0391024 | − | 0.999235i | \(-0.512450\pi\) |
−0.672250 | + | 0.740324i | \(0.734672\pi\) | |||||||
\(888\) | −12955.2 | + | 236.859i | −0.489583 | + | 0.00895096i | ||||
\(889\) | 67988.7 | − | 11988.2i | 2.56498 | − | 0.452275i | ||||
\(890\) | 11843.4 | − | 16112.5i | 0.446058 | − | 0.606845i | ||||
\(891\) | 62247.7 | − | 74184.0i | 2.34049 | − | 2.78929i | ||||
\(892\) | −4269.84 | + | 10240.0i | −0.160274 | + | 0.384372i | ||||
\(893\) | −288.594 | + | 3382.73i | −0.0108146 | + | 0.126762i | ||||
\(894\) | 17222.1 | + | 25840.6i | 0.644289 | + | 0.966711i | ||||
\(895\) | 13721.6 | + | 11513.8i | 0.512474 | + | 0.430016i | ||||
\(896\) | 9014.43 | − | 35565.4i | 0.336106 | − | 1.32607i | ||||
\(897\) | 393.373 | + | 2230.93i | 0.0146425 | + | 0.0830419i | ||||
\(898\) | 10618.5 | + | 24209.7i | 0.394592 | + | 0.899653i | ||||
\(899\) | 5603.53 | − | 15395.6i | 0.207885 | − | 0.571158i | ||||
\(900\) | −7382.33 | + | 954.204i | −0.273420 | + | 0.0353409i | ||||
\(901\) | −898.878 | − | 518.968i | −0.0332364 | − | 0.0191890i | ||||
\(902\) | 66715.2 | + | 19531.1i | 2.46272 | + | 0.720968i | ||||
\(903\) | 54193.8 | − | 45474.0i | 1.99719 | − | 1.67584i | ||||
\(904\) | 14946.2 | + | 5132.57i | 0.549894 | + | 0.188835i | ||||
\(905\) | −24402.8 | + | 14089.0i | −0.896328 | + | 0.517495i | ||||
\(906\) | −18767.8 | − | 77091.1i | −0.688210 | − | 2.82691i | ||||
\(907\) | 704.499 | − | 3995.41i | 0.0257911 | − | 0.146268i | −0.969193 | − | 0.246303i | \(-0.920784\pi\) |
0.994984 | + | 0.100034i | \(0.0318953\pi\) | |||||||
\(908\) | −32002.0 | − | 7173.86i | −1.16963 | − | 0.262195i | ||||
\(909\) | −90731.8 | + | 33023.7i | −3.31065 | + | 1.20498i | ||||
\(910\) | −1308.89 | + | 11822.6i | −0.0476804 | + | 0.430676i | ||||
\(911\) | −1757.66 | −0.0639230 | −0.0319615 | − | 0.999489i | \(-0.510175\pi\) | ||||
−0.0319615 | + | 0.999489i | \(0.510175\pi\) | |||||||
\(912\) | −32518.3 | − | 38955.5i | −1.18069 | − | 1.41441i | ||||
\(913\) | −60516.7 | −2.19366 | ||||||||
\(914\) | 2617.41 | − | 23641.9i | 0.0947225 | − | 0.855585i | ||||
\(915\) | 43626.8 | − | 15878.9i | 1.57624 | − | 0.573703i | ||||
\(916\) | −16926.2 | − | 3794.34i | −0.610545 | − | 0.136865i | ||||
\(917\) | −3338.18 | + | 18931.8i | −0.120214 | + | 0.681769i | ||||
\(918\) | −2469.73 | − | 10144.7i | −0.0887942 | − | 0.364733i | ||||
\(919\) | −26388.8 | + | 15235.6i | −0.947211 | + | 0.546873i | −0.892214 | − | 0.451614i | \(-0.850849\pi\) |
−0.0549979 | + | 0.998486i | \(0.517515\pi\) | |||||||
\(920\) | 3374.40 | + | 1158.78i | 0.120925 | + | 0.0415258i | ||||
\(921\) | 20407.3 | − | 17123.7i | 0.730123 | − | 0.612646i | ||||
\(922\) | −33647.8 | − | 9850.49i | −1.20188 | − | 0.351853i | ||||
\(923\) | 4119.41 | + | 2378.34i | 0.146904 | + | 0.0848149i | ||||
\(924\) | 109272. | − | 14124.0i | 3.89048 | − | 0.502864i | ||||
\(925\) | −294.419 | + | 808.908i | −0.0104653 | + | 0.0287532i | ||||
\(926\) | 10305.0 | + | 23495.0i | 0.365706 | + | 0.833795i | ||||
\(927\) | −8052.55 | − | 45668.3i | −0.285308 | − | 1.61806i | ||||
\(928\) | −19822.5 | + | 2931.50i | −0.701190 | + | 0.103697i | ||||
\(929\) | 40986.5 | + | 34391.8i | 1.44750 | + | 1.21459i | 0.934382 | + | 0.356272i | \(0.115952\pi\) |
0.513113 | + | 0.858321i | \(0.328492\pi\) | |||||||
\(930\) | −23375.8 | − | 35073.8i | −0.824217 | − | 1.23668i | ||||
\(931\) | −23897.2 | + | 6458.55i | −0.841244 | + | 0.227358i | ||||
\(932\) | 15061.0 | − | 36119.4i | 0.529335 | − | 1.26945i | ||||
\(933\) | 64534.7 | − | 76909.4i | 2.26449 | − | 2.69871i | ||||
\(934\) | −6511.29 | + | 8858.37i | −0.228111 | + | 0.310337i | ||||
\(935\) | 6022.36 | − | 1061.90i | 0.210644 | − | 0.0371422i | ||||
\(936\) | −23085.7 | + | 422.072i | −0.806175 | + | 0.0147392i | ||||
\(937\) | −19958.8 | − | 7264.39i | −0.695864 | − | 0.253274i | −0.0302199 | − | 0.999543i | \(-0.509621\pi\) |
−0.665644 | + | 0.746270i | \(0.731843\pi\) | |||||||
\(938\) | −17557.4 | − | 8684.08i | −0.611161 | − | 0.302287i | ||||
\(939\) | −7115.68 | + | 12324.7i | −0.247297 | + | 0.428330i | ||||
\(940\) | 3291.83 | − | 1029.38i | 0.114221 | − | 0.0357179i | ||||
\(941\) | 31852.0 | + | 37959.8i | 1.10345 | + | 1.31504i | 0.944778 | + | 0.327710i | \(0.106277\pi\) |
0.158672 | + | 0.987331i | \(0.449279\pi\) | |||||||
\(942\) | 49367.5 | − | 3177.28i | 1.70752 | − | 0.109895i | ||||
\(943\) | 3244.66 | + | 5619.92i | 0.112047 | + | 0.194072i | ||||
\(944\) | −12287.5 | − | 26678.4i | −0.423650 | − | 0.919817i | ||||
\(945\) | 94594.4 | + | 16679.5i | 3.25625 | + | 0.574165i | ||||
\(946\) | −33875.6 | + | 32352.4i | −1.16426 | + | 1.11191i | ||||
\(947\) | −15677.8 | − | 43074.4i | −0.537972 | − | 1.47807i | −0.849376 | − | 0.527788i | \(-0.823021\pi\) |
0.311404 | − | 0.950278i | \(-0.399201\pi\) | |||||||
\(948\) | −3224.33 | + | 1668.83i | −0.110466 | + | 0.0571742i | ||||
\(949\) | − | 568.091i | − | 0.0194321i | ||||||
\(950\) | −3191.20 | + | 1086.76i | −0.108986 | + | 0.0371148i | ||||
\(951\) | 48285.2i | 1.64643i | ||||||||
\(952\) | 2841.85 | − | 5136.86i | 0.0967489 | − | 0.174881i | ||||
\(953\) | −12824.2 | − | 35234.1i | −0.435903 | − | 1.19763i | −0.942134 | − | 0.335236i | \(-0.891184\pi\) |
0.506231 | − | 0.862398i | \(-0.331038\pi\) | |||||||
\(954\) | 12801.6 | + | 13404.3i | 0.434452 | + | 0.454907i | ||||
\(955\) | −11863.0 | − | 2091.76i | −0.401965 | − | 0.0708773i | ||||
\(956\) | −5408.68 | − | 4979.65i | −0.182980 | − | 0.168466i | ||||
\(957\) | −30087.5 | − | 52113.1i | −1.01629 | − | 1.76027i | ||||
\(958\) | −62.3674 | − | 969.042i | −0.00210334 | − | 0.0326809i | ||||
\(959\) | 26530.4 | + | 31617.7i | 0.893339 | + | 1.06464i | ||||
\(960\) | −24126.5 | + | 45557.1i | −0.811125 | + | 1.53161i | ||||
\(961\) | 3942.61 | − | 6828.80i | 0.132342 | − | 0.229224i | ||||
\(962\) | −1183.80 | + | 2393.40i | −0.0396750 | + | 0.0802145i | ||||
\(963\) | 27233.2 | + | 9912.06i | 0.911294 | + | 0.331684i | ||||
\(964\) | −14663.9 | + | 22898.4i | −0.489930 | + | 0.765051i | ||||
\(965\) | −14737.5 | + | 2598.63i | −0.491625 | + | 0.0866868i | ||||
\(966\) | 8287.55 | + | 6091.72i | 0.276033 | + | 0.202896i | ||||
\(967\) | −12478.3 | + | 14871.1i | −0.414971 | + | 0.494543i | −0.932524 | − | 0.361108i | \(-0.882399\pi\) |
0.517553 | + | 0.855651i | \(0.326843\pi\) | |||||||
\(968\) | −42044.0 | + | 8208.63i | −1.39602 | + | 0.272557i | ||||
\(969\) | −3447.23 | − | 7351.13i | −0.114284 | − | 0.243707i | ||||
\(970\) | −17257.6 | + | 11501.8i | −0.571246 | + | 0.380721i | ||||
\(971\) | −5913.08 | − | 4961.66i | −0.195427 | − | 0.163983i | 0.539823 | − | 0.841778i | \(-0.318491\pi\) |
−0.735250 | + | 0.677796i | \(0.762935\pi\) | |||||||
\(972\) | −2425.42 | + | 52700.3i | −0.0800364 | + | 1.73906i | ||||
\(973\) | 13781.0 | + | 78155.8i | 0.454057 | + | 2.57509i | ||||
\(974\) | 31220.2 | − | 13693.3i | 1.02706 | − | 0.450474i | ||||
\(975\) | −743.736 | + | 2043.40i | −0.0244293 | + | 0.0671191i | ||||
\(976\) | −7772.20 | + | 28468.7i | −0.254899 | + | 0.933669i | ||||
\(977\) | −10821.1 | − | 6247.54i | −0.354346 | − | 0.204582i | 0.312252 | − | 0.949999i | \(-0.398917\pi\) |
−0.666598 | + | 0.745418i | \(0.732250\pi\) | |||||||
\(978\) | −8207.53 | + | 28035.7i | −0.268352 | + | 0.916650i | ||||
\(979\) | −29240.7 | + | 24535.9i | −0.954584 | + | 0.800991i | ||||
\(980\) | 15262.2 | + | 19987.5i | 0.497484 | + | 0.651508i | ||||
\(981\) | 16167.8 | − | 9334.48i | 0.526196 | − | 0.303799i | ||||
\(982\) | −27657.4 | + | 6733.19i | −0.898762 | + | 0.218803i | ||||
\(983\) | −2241.14 | + | 12710.2i | −0.0727176 | + | 0.412402i | 0.926620 | + | 0.376000i | \(0.122701\pi\) |
−0.999337 | + | 0.0364018i | \(0.988410\pi\) | |||||||
\(984\) | −87508.5 | + | 33674.5i | −2.83503 | + | 1.09096i | ||||
\(985\) | 20752.8 | − | 7553.41i | 0.671310 | − | 0.244337i | ||||
\(986\) | −3186.70 | − | 352.802i | −0.102926 | − | 0.0113950i | ||||
\(987\) | 9943.08 | 0.320660 | ||||||||
\(988\) | −10209.5 | + | 2261.28i | −0.328754 | + | 0.0728145i | ||||
\(989\) | −4372.81 | −0.140594 | ||||||||
\(990\) | −108542. | − | 12016.8i | −3.48454 | − | 0.385776i | ||||
\(991\) | 28052.9 | − | 10210.4i | 0.899223 | − | 0.327290i | 0.149281 | − | 0.988795i | \(-0.452304\pi\) |
0.749941 | + | 0.661504i | \(0.230082\pi\) | |||||||
\(992\) | 26781.7 | + | 742.301i | 0.857176 | + | 0.0237581i | ||||
\(993\) | 4646.69 | − | 26352.7i | 0.148498 | − | 0.842173i | ||||
\(994\) | 20984.3 | − | 5108.63i | 0.669600 | − | 0.163014i | ||||
\(995\) | 6273.92 | − | 3622.25i | 0.199896 | − | 0.115410i | ||||
\(996\) | 64875.6 | − | 49538.2i | 2.06392 | − | 1.57598i | ||||
\(997\) | 18287.1 | − | 15344.7i | 0.580901 | − | 0.487434i | −0.304342 | − | 0.952563i | \(-0.598436\pi\) |
0.885243 | + | 0.465129i | \(0.153992\pi\) | |||||||
\(998\) | 13238.7 | − | 45221.3i | 0.419902 | − | 1.43432i | ||||
\(999\) | 18673.4 | + | 10781.1i | 0.591393 | + | 0.341441i |
(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 | 76.4.k.a.3.16 | ✓ | 168 | |
4.3 | odd | 2 | inner | 76.4.k.a.3.26 | yes | 168 | |
19.13 | odd | 18 | inner | 76.4.k.a.51.26 | yes | 168 | |
76.51 | even | 18 | inner | 76.4.k.a.51.16 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.k.a.3.16 | ✓ | 168 | 1.1 | even | 1 | trivial | |
76.4.k.a.3.26 | yes | 168 | 4.3 | odd | 2 | inner | |
76.4.k.a.51.16 | yes | 168 | 76.51 | even | 18 | inner | |
76.4.k.a.51.26 | yes | 168 | 19.13 | odd | 18 | inner |