Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 2.4 | ||
Character | \(\chi\) | \(=\) | 23.2 |
Dual form | 23.4.c.a.12.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.91736 | + | 1.23221i | 0.677888 | + | 0.435652i | 0.833762 | − | 0.552125i | \(-0.186183\pi\) |
−0.155873 | + | 0.987777i | \(0.549819\pi\) | |||||||
\(3\) | 0.776967 | + | 5.40392i | 0.149527 | + | 1.03999i | 0.916995 | + | 0.398898i | \(0.130607\pi\) |
−0.767468 | + | 0.641087i | \(0.778484\pi\) | |||||||
\(4\) | −1.16540 | − | 2.55188i | −0.145675 | − | 0.318985i | ||||
\(5\) | −0.907869 | − | 0.266574i | −0.0812022 | − | 0.0238431i | 0.240879 | − | 0.970555i | \(-0.422564\pi\) |
−0.322081 | + | 0.946712i | \(0.604382\pi\) | |||||||
\(6\) | −5.16905 | + | 11.3186i | −0.351709 | + | 0.770136i | ||||
\(7\) | 8.82725 | − | 10.1872i | 0.476626 | − | 0.550056i | −0.465616 | − | 0.884987i | \(-0.654167\pi\) |
0.942243 | + | 0.334930i | \(0.108713\pi\) | |||||||
\(8\) | 3.50483 | − | 24.3766i | 0.154893 | − | 1.07731i | ||||
\(9\) | −2.69237 | + | 0.790552i | −0.0997175 | + | 0.0292797i | ||||
\(10\) | −1.41223 | − | 1.62980i | −0.0446587 | − | 0.0515389i | ||||
\(11\) | −44.9085 | + | 28.8610i | −1.23095 | + | 0.791082i | −0.984038 | − | 0.177956i | \(-0.943051\pi\) |
−0.246910 | + | 0.969038i | \(0.579415\pi\) | |||||||
\(12\) | 12.8847 | − | 8.28047i | 0.309957 | − | 0.199197i | ||||
\(13\) | −21.9794 | − | 25.3656i | −0.468923 | − | 0.541166i | 0.471189 | − | 0.882032i | \(-0.343825\pi\) |
−0.940112 | + | 0.340866i | \(0.889280\pi\) | |||||||
\(14\) | 29.4778 | − | 8.65545i | 0.562733 | − | 0.165233i | ||||
\(15\) | 0.735163 | − | 5.11317i | 0.0126545 | − | 0.0880143i | ||||
\(16\) | 22.0600 | − | 25.4586i | 0.344688 | − | 0.397791i | ||||
\(17\) | −14.2687 | + | 31.2442i | −0.203569 | + | 0.445754i | −0.983689 | − | 0.179875i | \(-0.942431\pi\) |
0.780120 | + | 0.625630i | \(0.215158\pi\) | |||||||
\(18\) | −6.13637 | − | 1.80180i | −0.0803531 | − | 0.0235938i | ||||
\(19\) | 36.1101 | + | 79.0700i | 0.436012 | + | 0.954732i | 0.992313 | + | 0.123752i | \(0.0394926\pi\) |
−0.556302 | + | 0.830980i | \(0.687780\pi\) | |||||||
\(20\) | 0.377768 | + | 2.62743i | 0.00422358 | + | 0.0293756i | ||||
\(21\) | 61.9092 | + | 39.7866i | 0.643319 | + | 0.413436i | ||||
\(22\) | −121.669 | −1.17908 | ||||||||
\(23\) | 88.8916 | + | 65.3092i | 0.805877 | + | 0.592083i | ||||
\(24\) | 134.453 | 1.14354 | ||||||||
\(25\) | −104.404 | − | 67.0961i | −0.835228 | − | 0.536769i | ||||
\(26\) | −10.8867 | − | 75.7183i | −0.0821172 | − | 0.571138i | ||||
\(27\) | 54.8708 | + | 120.150i | 0.391107 | + | 0.856405i | ||||
\(28\) | −36.2837 | − | 10.6539i | −0.244892 | − | 0.0719068i | ||||
\(29\) | 19.2369 | − | 42.1230i | 0.123180 | − | 0.269726i | −0.837989 | − | 0.545687i | \(-0.816269\pi\) |
0.961169 | + | 0.275961i | \(0.0889961\pi\) | |||||||
\(30\) | 7.71007 | − | 8.89790i | 0.0469220 | − | 0.0541509i | ||||
\(31\) | 29.9011 | − | 207.967i | 0.173239 | − | 1.20490i | −0.698747 | − | 0.715369i | \(-0.746259\pi\) |
0.871985 | − | 0.489532i | \(-0.162832\pi\) | |||||||
\(32\) | −115.370 | + | 33.8758i | −0.637337 | + | 0.187139i | ||||
\(33\) | −190.855 | − | 220.258i | −1.00677 | − | 1.16188i | ||||
\(34\) | −65.8577 | + | 42.3242i | −0.332191 | + | 0.213486i | ||||
\(35\) | −10.7296 | + | 6.89551i | −0.0518182 | + | 0.0333015i | ||||
\(36\) | 5.15509 | + | 5.94929i | 0.0238662 | + | 0.0275430i | ||||
\(37\) | −268.009 | + | 78.6945i | −1.19082 | + | 0.349656i | −0.816336 | − | 0.577577i | \(-0.803998\pi\) |
−0.374484 | + | 0.927233i | \(0.622180\pi\) | |||||||
\(38\) | −28.1950 | + | 196.101i | −0.120364 | + | 0.837151i | ||||
\(39\) | 119.997 | − | 138.483i | 0.492688 | − | 0.568592i | ||||
\(40\) | −9.68011 | + | 21.1965i | −0.0382640 | + | 0.0837865i | ||||
\(41\) | 315.843 | + | 92.7400i | 1.20308 | + | 0.353257i | 0.821031 | − | 0.570883i | \(-0.193399\pi\) |
0.382053 | + | 0.924141i | \(0.375217\pi\) | |||||||
\(42\) | 69.6766 | + | 152.570i | 0.255984 | + | 0.560527i | ||||
\(43\) | −48.6528 | − | 338.388i | −0.172546 | − | 1.20008i | −0.873481 | − | 0.486859i | \(-0.838143\pi\) |
0.700935 | − | 0.713225i | \(-0.252766\pi\) | |||||||
\(44\) | 125.986 | + | 80.9664i | 0.431662 | + | 0.277412i | ||||
\(45\) | 2.65506 | 0.00879540 | ||||||||
\(46\) | 89.9623 | + | 234.754i | 0.288352 | + | 0.752448i | ||||
\(47\) | 460.208 | 1.42826 | 0.714130 | − | 0.700013i | \(-0.246823\pi\) | ||||
0.714130 | + | 0.700013i | \(0.246823\pi\) | |||||||
\(48\) | 154.716 | + | 99.4302i | 0.465237 | + | 0.298990i | ||||
\(49\) | 22.9555 | + | 159.659i | 0.0669257 | + | 0.465479i | ||||
\(50\) | −117.502 | − | 257.294i | −0.332347 | − | 0.727738i | ||||
\(51\) | −179.927 | − | 52.8314i | −0.494017 | − | 0.145056i | ||||
\(52\) | −39.1150 | + | 85.6500i | −0.104313 | + | 0.228414i | ||||
\(53\) | −159.378 | + | 183.932i | −0.413062 | + | 0.476699i | −0.923711 | − | 0.383090i | \(-0.874860\pi\) |
0.510649 | + | 0.859789i | \(0.329405\pi\) | |||||||
\(54\) | −42.8436 | + | 297.984i | −0.107968 | + | 0.750934i | ||||
\(55\) | 48.4646 | − | 14.2305i | 0.118818 | − | 0.0348880i | ||||
\(56\) | −217.391 | − | 250.883i | −0.518752 | − | 0.598672i | ||||
\(57\) | −399.232 | + | 256.571i | −0.927711 | + | 0.596204i | ||||
\(58\) | 88.7885 | − | 57.0609i | 0.201009 | − | 0.129180i | ||||
\(59\) | −78.4610 | − | 90.5489i | −0.173131 | − | 0.199804i | 0.662552 | − | 0.749016i | \(-0.269473\pi\) |
−0.835683 | + | 0.549212i | \(0.814928\pi\) | |||||||
\(60\) | −13.9049 | + | 4.08286i | −0.0299187 | + | 0.00878491i | ||||
\(61\) | 57.8604 | − | 402.428i | 0.121447 | − | 0.844683i | −0.834472 | − | 0.551051i | \(-0.814227\pi\) |
0.955919 | − | 0.293632i | \(-0.0948639\pi\) | |||||||
\(62\) | 313.590 | − | 361.902i | 0.642354 | − | 0.741317i | ||||
\(63\) | −15.7127 | + | 34.4061i | −0.0314225 | + | 0.0688057i | ||||
\(64\) | −521.525 | − | 153.134i | −1.01860 | − | 0.299089i | ||||
\(65\) | 13.1926 | + | 28.8878i | 0.0251745 | + | 0.0551245i | ||||
\(66\) | −94.5324 | − | 657.487i | −0.176305 | − | 1.22623i | ||||
\(67\) | 732.601 | + | 470.814i | 1.33584 | + | 0.858494i | 0.996615 | − | 0.0822099i | \(-0.0261978\pi\) |
0.339228 | + | 0.940704i | \(0.389834\pi\) | |||||||
\(68\) | 96.3601 | 0.171844 | ||||||||
\(69\) | −283.860 | + | 531.106i | −0.495257 | + | 0.926633i | ||||
\(70\) | −29.0692 | −0.0496349 | ||||||||
\(71\) | 241.656 | + | 155.303i | 0.403933 | + | 0.259592i | 0.726796 | − | 0.686854i | \(-0.241009\pi\) |
−0.322862 | + | 0.946446i | \(0.604645\pi\) | |||||||
\(72\) | 9.83469 | + | 68.4017i | 0.0160976 | + | 0.111961i | ||||
\(73\) | −379.580 | − | 831.164i | −0.608582 | − | 1.33261i | −0.923540 | − | 0.383503i | \(-0.874718\pi\) |
0.314958 | − | 0.949106i | \(-0.398010\pi\) | |||||||
\(74\) | −610.837 | − | 179.358i | −0.959572 | − | 0.281756i | ||||
\(75\) | 281.464 | − | 616.320i | 0.433342 | − | 0.948886i | ||||
\(76\) | 159.694 | − | 184.297i | 0.241029 | − | 0.278162i | ||||
\(77\) | −102.407 | + | 712.254i | −0.151563 | + | 1.05414i | ||||
\(78\) | 400.717 | − | 117.661i | 0.581696 | − | 0.170801i | ||||
\(79\) | 516.409 | + | 595.968i | 0.735450 | + | 0.848754i | 0.993074 | − | 0.117491i | \(-0.0374851\pi\) |
−0.257624 | + | 0.966245i | \(0.582940\pi\) | |||||||
\(80\) | −26.8142 | + | 17.2325i | −0.0374740 | + | 0.0240831i | ||||
\(81\) | −670.386 | + | 430.831i | −0.919596 | + | 0.590989i | ||||
\(82\) | 491.309 | + | 567.001i | 0.661659 | + | 0.763595i | ||||
\(83\) | −1298.36 | + | 381.232i | −1.71703 | + | 0.504165i | −0.984322 | − | 0.176382i | \(-0.943561\pi\) |
−0.732705 | + | 0.680546i | \(0.761743\pi\) | |||||||
\(84\) | 29.3814 | − | 204.352i | 0.0381640 | − | 0.265436i | ||||
\(85\) | 21.2830 | − | 24.5619i | 0.0271585 | − | 0.0313425i | ||||
\(86\) | 323.680 | − | 708.761i | 0.405853 | − | 0.888693i | ||||
\(87\) | 242.576 | + | 71.2267i | 0.298929 | + | 0.0877736i | ||||
\(88\) | 546.136 | + | 1195.87i | 0.661572 | + | 1.44864i | ||||
\(89\) | −105.957 | − | 736.949i | −0.126196 | − | 0.877713i | −0.950314 | − | 0.311294i | \(-0.899238\pi\) |
0.824117 | − | 0.566419i | \(-0.191672\pi\) | |||||||
\(90\) | 5.09070 | + | 3.27160i | 0.00596230 | + | 0.00383174i | ||||
\(91\) | −452.422 | −0.521173 | ||||||||
\(92\) | 63.0665 | − | 302.952i | 0.0714688 | − | 0.343314i | ||||
\(93\) | 1147.07 | 1.27898 | ||||||||
\(94\) | 882.383 | + | 567.073i | 0.968201 | + | 0.622225i | ||||
\(95\) | −11.7052 | − | 81.4112i | −0.0126413 | − | 0.0879223i | ||||
\(96\) | −272.701 | − | 597.132i | −0.289921 | − | 0.634839i | ||||
\(97\) | 479.387 | + | 140.761i | 0.501798 | + | 0.147341i | 0.522829 | − | 0.852438i | \(-0.324877\pi\) |
−0.0210312 | + | 0.999779i | \(0.506695\pi\) | |||||||
\(98\) | −152.720 | + | 334.410i | −0.157419 | + | 0.344699i | ||||
\(99\) | 98.0944 | − | 113.207i | 0.0995844 | − | 0.114927i | ||||
\(100\) | −49.5487 | + | 344.619i | −0.0495487 | + | 0.344619i | ||||
\(101\) | −402.528 | + | 118.193i | −0.396565 | + | 0.116442i | −0.473934 | − | 0.880561i | \(-0.657166\pi\) |
0.0773686 | + | 0.997003i | \(0.475348\pi\) | |||||||
\(102\) | −279.886 | − | 323.005i | −0.271694 | − | 0.313552i | ||||
\(103\) | 261.734 | − | 168.206i | 0.250382 | − | 0.160911i | −0.409430 | − | 0.912342i | \(-0.634272\pi\) |
0.659812 | + | 0.751431i | \(0.270636\pi\) | |||||||
\(104\) | −695.363 | + | 446.883i | −0.655634 | + | 0.421351i | ||||
\(105\) | −45.5993 | − | 52.6244i | −0.0423813 | − | 0.0489107i | ||||
\(106\) | −532.229 | + | 156.276i | −0.487685 | + | 0.143197i | ||||
\(107\) | −100.402 | + | 698.314i | −0.0907127 | + | 0.630921i | 0.892850 | + | 0.450354i | \(0.148702\pi\) |
−0.983563 | + | 0.180567i | \(0.942207\pi\) | |||||||
\(108\) | 242.662 | − | 280.047i | 0.216205 | − | 0.249514i | ||||
\(109\) | 285.748 | − | 625.701i | 0.251098 | − | 0.549828i | −0.741545 | − | 0.670903i | \(-0.765907\pi\) |
0.992643 | + | 0.121074i | \(0.0386340\pi\) | |||||||
\(110\) | 110.459 | + | 32.4337i | 0.0957441 | + | 0.0281130i | ||||
\(111\) | −633.492 | − | 1387.15i | −0.541698 | − | 1.18615i | ||||
\(112\) | −64.6225 | − | 449.459i | −0.0545201 | − | 0.379196i | ||||
\(113\) | −815.920 | − | 524.360i | −0.679251 | − | 0.436528i | 0.154999 | − | 0.987915i | \(-0.450463\pi\) |
−0.834250 | + | 0.551387i | \(0.814099\pi\) | |||||||
\(114\) | −1081.62 | −0.888623 | ||||||||
\(115\) | −63.2921 | − | 82.9884i | −0.0513219 | − | 0.0672931i | ||||
\(116\) | −129.911 | −0.103983 | ||||||||
\(117\) | 79.2297 | + | 50.9178i | 0.0626050 | + | 0.0402338i | ||||
\(118\) | −38.8626 | − | 270.295i | −0.0303186 | − | 0.210870i | ||||
\(119\) | 192.337 | + | 421.158i | 0.148164 | + | 0.324433i | ||||
\(120\) | −122.065 | − | 35.8416i | −0.0928582 | − | 0.0272656i | ||||
\(121\) | 630.903 | − | 1381.49i | 0.474007 | − | 1.03793i | ||||
\(122\) | 606.816 | − | 700.303i | 0.450316 | − | 0.519692i | ||||
\(123\) | −255.760 | + | 1778.85i | −0.187488 | + | 1.30401i | ||||
\(124\) | −565.552 | + | 166.061i | −0.409581 | + | 0.120264i | ||||
\(125\) | 154.352 | + | 178.132i | 0.110445 | + | 0.127461i | ||||
\(126\) | −72.5225 | + | 46.6074i | −0.0512763 | + | 0.0329533i | ||||
\(127\) | −1196.34 | + | 768.840i | −0.835888 | + | 0.537193i | −0.887144 | − | 0.461493i | \(-0.847314\pi\) |
0.0512556 | + | 0.998686i | \(0.483678\pi\) | |||||||
\(128\) | −181.328 | − | 209.264i | −0.125213 | − | 0.144504i | ||||
\(129\) | 1790.82 | − | 525.832i | 1.22227 | − | 0.358891i | ||||
\(130\) | −10.3009 | + | 71.6444i | −0.00694961 | + | 0.0483356i | ||||
\(131\) | 1313.90 | − | 1516.32i | 0.876307 | − | 1.01131i | −0.123513 | − | 0.992343i | \(-0.539416\pi\) |
0.999820 | − | 0.0189693i | \(-0.00603849\pi\) | |||||||
\(132\) | −339.649 | + | 743.727i | −0.223959 | + | 0.490403i | ||||
\(133\) | 1124.25 | + | 330.111i | 0.732971 | + | 0.215220i | ||||
\(134\) | 824.516 | + | 1805.44i | 0.531547 | + | 1.16393i | ||||
\(135\) | −17.7865 | − | 123.708i | −0.0113394 | − | 0.0788672i | ||||
\(136\) | 711.618 | + | 457.329i | 0.448682 | + | 0.288350i | ||||
\(137\) | −1517.23 | −0.946170 | −0.473085 | − | 0.881017i | \(-0.656860\pi\) | ||||
−0.473085 | + | 0.881017i | \(0.656860\pi\) | |||||||
\(138\) | −1198.70 | + | 668.545i | −0.739419 | + | 0.412394i | ||||
\(139\) | 188.684 | 0.115136 | 0.0575681 | − | 0.998342i | \(-0.481665\pi\) | ||||
0.0575681 | + | 0.998342i | \(0.481665\pi\) | |||||||
\(140\) | 30.1008 | + | 19.3446i | 0.0181713 | + | 0.0116780i | ||||
\(141\) | 357.566 | + | 2486.93i | 0.213564 | + | 1.48537i | ||||
\(142\) | 271.975 | + | 595.542i | 0.160730 | + | 0.351949i | ||||
\(143\) | 1719.14 | + | 504.785i | 1.00533 | + | 0.295191i | ||||
\(144\) | −39.2675 | + | 85.9838i | −0.0227242 | + | 0.0497591i | ||||
\(145\) | −28.6935 | + | 33.1141i | −0.0164336 | + | 0.0189653i | ||||
\(146\) | 296.379 | − | 2061.36i | 0.168003 | − | 1.16849i | ||||
\(147\) | −844.950 | + | 248.100i | −0.474084 | + | 0.139204i | ||||
\(148\) | 513.157 | + | 592.214i | 0.285008 | + | 0.328917i | ||||
\(149\) | 470.703 | − | 302.502i | 0.258802 | − | 0.166322i | −0.404806 | − | 0.914403i | \(-0.632661\pi\) |
0.663608 | + | 0.748081i | \(0.269024\pi\) | |||||||
\(150\) | 1299.10 | − | 834.883i | 0.707142 | − | 0.454453i | ||||
\(151\) | −1945.17 | − | 2244.85i | −1.04832 | − | 1.20982i | −0.977193 | − | 0.212354i | \(-0.931887\pi\) |
−0.0711230 | − | 0.997468i | \(-0.522658\pi\) | |||||||
\(152\) | 2054.02 | − | 603.115i | 1.09607 | − | 0.321836i | ||||
\(153\) | 13.7166 | − | 95.4011i | 0.00724786 | − | 0.0504100i | ||||
\(154\) | −1074.00 | + | 1239.46i | −0.561982 | + | 0.648562i | ||||
\(155\) | −82.5849 | + | 180.836i | −0.0427960 | + | 0.0937101i | ||||
\(156\) | −493.237 | − | 144.827i | −0.253145 | − | 0.0743300i | ||||
\(157\) | −385.037 | − | 843.113i | −0.195728 | − | 0.428584i | 0.786166 | − | 0.618015i | \(-0.212063\pi\) |
−0.981894 | + | 0.189431i | \(0.939336\pi\) | |||||||
\(158\) | 255.783 | + | 1779.01i | 0.128791 | + | 0.895761i | ||||
\(159\) | −1117.79 | − | 718.358i | −0.557524 | − | 0.358299i | ||||
\(160\) | 113.772 | 0.0562152 | ||||||||
\(161\) | 1449.98 | − | 329.055i | 0.709781 | − | 0.161075i | ||||
\(162\) | −1816.24 | −0.880849 | ||||||||
\(163\) | −1887.03 | − | 1212.72i | −0.906769 | − | 0.582745i | 0.00202162 | − | 0.999998i | \(-0.499356\pi\) |
−0.908790 | + | 0.417253i | \(0.862993\pi\) | |||||||
\(164\) | −131.424 | − | 914.072i | −0.0625760 | − | 0.435226i | ||||
\(165\) | 114.556 | + | 250.842i | 0.0540495 | + | 0.118352i | ||||
\(166\) | −2959.17 | − | 868.892i | −1.38359 | − | 0.406260i | ||||
\(167\) | −534.130 | + | 1169.58i | −0.247498 | + | 0.541946i | −0.992083 | − | 0.125582i | \(-0.959920\pi\) |
0.744585 | + | 0.667528i | \(0.232647\pi\) | |||||||
\(168\) | 1186.85 | − | 1369.69i | 0.545042 | − | 0.629013i | ||||
\(169\) | 152.346 | − | 1059.59i | 0.0693429 | − | 0.482291i | ||||
\(170\) | 71.0727 | − | 20.8688i | 0.0320649 | − | 0.00941509i | ||||
\(171\) | −159.731 | − | 184.339i | −0.0714323 | − | 0.0824372i | ||||
\(172\) | −806.823 | + | 518.514i | −0.357673 | + | 0.229862i | ||||
\(173\) | 170.951 | − | 109.864i | 0.0751282 | − | 0.0482820i | −0.502537 | − | 0.864555i | \(-0.667600\pi\) |
0.577666 | + | 0.816273i | \(0.303964\pi\) | |||||||
\(174\) | 377.338 | + | 435.472i | 0.164402 | + | 0.189730i | ||||
\(175\) | −1605.12 | + | 471.305i | −0.693345 | + | 0.203584i | ||||
\(176\) | −255.923 | + | 1779.98i | −0.109608 | + | 0.762337i | ||||
\(177\) | 428.357 | − | 494.351i | 0.181906 | − | 0.209930i | ||||
\(178\) | 704.919 | − | 1543.56i | 0.296831 | − | 0.649969i | ||||
\(179\) | −427.814 | − | 125.618i | −0.178639 | − | 0.0524531i | 0.191190 | − | 0.981553i | \(-0.438765\pi\) |
−0.369829 | + | 0.929100i | \(0.620584\pi\) | |||||||
\(180\) | −3.09422 | − | 6.77539i | −0.00128127 | − | 0.00280560i | ||||
\(181\) | 504.161 | + | 3506.52i | 0.207039 | + | 1.43999i | 0.782752 | + | 0.622334i | \(0.213816\pi\) |
−0.575713 | + | 0.817652i | \(0.695275\pi\) | |||||||
\(182\) | −867.456 | − | 557.480i | −0.353297 | − | 0.227050i | ||||
\(183\) | 2219.65 | 0.896617 | ||||||||
\(184\) | 1903.57 | − | 1937.98i | 0.762679 | − | 0.776466i | ||||
\(185\) | 264.295 | 0.105034 | ||||||||
\(186\) | 2199.34 | + | 1413.43i | 0.867008 | + | 0.557192i | ||||
\(187\) | −260.949 | − | 1814.94i | −0.102045 | − | 0.709741i | ||||
\(188\) | −536.328 | − | 1174.39i | −0.208062 | − | 0.455593i | ||||
\(189\) | 1708.35 | + | 501.617i | 0.657483 | + | 0.193054i | ||||
\(190\) | 77.8728 | − | 170.518i | 0.0297341 | − | 0.0651087i | ||||
\(191\) | −1290.04 | + | 1488.78i | −0.488712 | + | 0.564003i | −0.945521 | − | 0.325561i | \(-0.894447\pi\) |
0.456809 | + | 0.889565i | \(0.348992\pi\) | |||||||
\(192\) | 422.314 | − | 2937.26i | 0.158739 | − | 1.10405i | ||||
\(193\) | 877.519 | − | 257.663i | 0.327281 | − | 0.0960983i | −0.113965 | − | 0.993485i | \(-0.536355\pi\) |
0.441245 | + | 0.897386i | \(0.354537\pi\) | |||||||
\(194\) | 745.709 | + | 860.594i | 0.275973 | + | 0.318490i | ||||
\(195\) | −145.857 | + | 93.7368i | −0.0535644 | + | 0.0344237i | ||||
\(196\) | 380.678 | − | 244.647i | 0.138731 | − | 0.0891570i | ||||
\(197\) | 2056.75 | + | 2373.61i | 0.743843 | + | 0.858441i | 0.993956 | − | 0.109776i | \(-0.0350134\pi\) |
−0.250113 | + | 0.968217i | \(0.580468\pi\) | |||||||
\(198\) | 327.577 | − | 96.1853i | 0.117575 | − | 0.0345232i | ||||
\(199\) | 54.1883 | − | 376.888i | 0.0193030 | − | 0.134256i | −0.977891 | − | 0.209115i | \(-0.932942\pi\) |
0.997194 | + | 0.0748594i | \(0.0238508\pi\) | |||||||
\(200\) | −2001.49 | + | 2309.85i | −0.707635 | + | 0.816654i | ||||
\(201\) | −1975.04 | + | 4324.73i | −0.693076 | + | 1.51763i | ||||
\(202\) | −917.430 | − | 269.382i | −0.319555 | − | 0.0938298i | ||||
\(203\) | −259.306 | − | 567.800i | −0.0896536 | − | 0.196314i | ||||
\(204\) | 74.8686 | + | 520.722i | 0.0256953 | + | 0.178715i | ||||
\(205\) | −262.022 | − | 168.391i | −0.0892703 | − | 0.0573706i | ||||
\(206\) | 709.103 | 0.239833 | ||||||||
\(207\) | −290.960 | − | 105.563i | −0.0976961 | − | 0.0354452i | ||||
\(208\) | −1130.64 | −0.376903 | ||||||||
\(209\) | −3903.69 | − | 2508.75i | −1.29198 | − | 0.830305i | ||||
\(210\) | −22.5858 | − | 157.088i | −0.00742176 | − | 0.0516195i | ||||
\(211\) | 1821.74 | + | 3989.06i | 0.594378 | + | 1.30151i | 0.932760 | + | 0.360498i | \(0.117393\pi\) |
−0.338382 | + | 0.941009i | \(0.609879\pi\) | |||||||
\(212\) | 655.112 | + | 192.358i | 0.212233 | + | 0.0623171i | ||||
\(213\) | −651.485 | + | 1426.55i | −0.209573 | + | 0.458901i | ||||
\(214\) | −1052.98 | + | 1215.20i | −0.336355 | + | 0.388175i | ||||
\(215\) | −46.0351 | + | 320.181i | −0.0146026 | + | 0.101564i | ||||
\(216\) | 3121.17 | − | 916.459i | 0.983189 | − | 0.288690i | ||||
\(217\) | −1854.65 | − | 2140.38i | −0.580193 | − | 0.669579i | ||||
\(218\) | 1318.88 | − | 847.591i | 0.409751 | − | 0.263331i | ||||
\(219\) | 4196.62 | − | 2697.01i | 1.29489 | − | 0.832177i | ||||
\(220\) | −92.7953 | − | 107.091i | −0.0284375 | − | 0.0328187i | ||||
\(221\) | 1106.15 | − | 324.794i | 0.336686 | − | 0.0988598i | ||||
\(222\) | 494.636 | − | 3440.27i | 0.149540 | − | 1.04007i | ||||
\(223\) | −2521.04 | + | 2909.43i | −0.757045 | + | 0.873677i | −0.995231 | − | 0.0975428i | \(-0.968902\pi\) |
0.238186 | + | 0.971220i | \(0.423447\pi\) | |||||||
\(224\) | −673.304 | + | 1474.33i | −0.200835 | + | 0.439767i | ||||
\(225\) | 334.136 | + | 98.1112i | 0.0990033 | + | 0.0290700i | ||||
\(226\) | −918.289 | − | 2010.77i | −0.270282 | − | 0.591834i | ||||
\(227\) | −103.413 | − | 719.253i | −0.0302368 | − | 0.210302i | 0.969102 | − | 0.246660i | \(-0.0793332\pi\) |
−0.999339 | + | 0.0363586i | \(0.988424\pi\) | |||||||
\(228\) | 1120.00 | + | 719.782i | 0.325325 | + | 0.209073i | ||||
\(229\) | 5991.20 | 1.72886 | 0.864432 | − | 0.502750i | \(-0.167678\pi\) | ||||
0.864432 | + | 0.502750i | \(0.167678\pi\) | |||||||
\(230\) | −19.0945 | − | 237.108i | −0.00547414 | − | 0.0679757i | ||||
\(231\) | −3928.53 | −1.11895 | ||||||||
\(232\) | −959.395 | − | 616.565i | −0.271497 | − | 0.174481i | ||||
\(233\) | −550.993 | − | 3832.24i | −0.154922 | − | 1.07750i | −0.907818 | − | 0.419365i | \(-0.862253\pi\) |
0.752896 | − | 0.658139i | \(-0.228656\pi\) | |||||||
\(234\) | 89.1702 | + | 195.255i | 0.0249113 | + | 0.0545481i | ||||
\(235\) | −417.808 | − | 122.680i | −0.115978 | − | 0.0340542i | ||||
\(236\) | −139.631 | + | 305.749i | −0.0385135 | + | 0.0843328i | ||||
\(237\) | −2819.33 | + | 3253.68i | −0.772722 | + | 0.891769i | ||||
\(238\) | −150.178 | + | 1044.51i | −0.0409016 | + | 0.284477i | ||||
\(239\) | −2833.37 | + | 831.952i | −0.766842 | + | 0.225165i | −0.641681 | − | 0.766971i | \(-0.721763\pi\) |
−0.125161 | + | 0.992136i | \(0.539945\pi\) | |||||||
\(240\) | −113.957 | − | 131.513i | −0.0306495 | − | 0.0353714i | ||||
\(241\) | 4876.66 | − | 3134.04i | 1.30346 | − | 0.837681i | 0.309873 | − | 0.950778i | \(-0.399713\pi\) |
0.993584 | + | 0.113097i | \(0.0360770\pi\) | |||||||
\(242\) | 2911.95 | − | 1871.40i | 0.773501 | − | 0.497099i | ||||
\(243\) | −513.586 | − | 592.710i | −0.135583 | − | 0.156471i | ||||
\(244\) | −1094.38 | + | 321.338i | −0.287133 | + | 0.0843097i | ||||
\(245\) | 21.7204 | − | 151.069i | 0.00566395 | − | 0.0393936i | ||||
\(246\) | −2682.30 | + | 3095.54i | −0.695192 | + | 0.802294i | ||||
\(247\) | 1211.98 | − | 2653.87i | 0.312213 | − | 0.683651i | ||||
\(248\) | −4964.73 | − | 1457.78i | −1.27121 | − | 0.373262i | ||||
\(249\) | −3068.93 | − | 6720.02i | −0.781066 | − | 1.71030i | ||||
\(250\) | 76.4521 | + | 531.736i | 0.0193410 | + | 0.134520i | ||||
\(251\) | 1825.23 | + | 1173.01i | 0.458994 | + | 0.294978i | 0.749631 | − | 0.661856i | \(-0.230231\pi\) |
−0.290637 | + | 0.956833i | \(0.593867\pi\) | |||||||
\(252\) | 106.112 | 0.0265254 | ||||||||
\(253\) | −5876.87 | − | 367.443i | −1.46038 | − | 0.0913081i | ||||
\(254\) | −3241.18 | −0.800668 | ||||||||
\(255\) | 149.267 | + | 95.9280i | 0.0366567 | + | 0.0235578i | ||||
\(256\) | 529.019 | + | 3679.41i | 0.129155 | + | 0.898293i | ||||
\(257\) | 1820.90 | + | 3987.21i | 0.441963 | + | 0.967765i | 0.991234 | + | 0.132120i | \(0.0421784\pi\) |
−0.549271 | + | 0.835645i | \(0.685094\pi\) | |||||||
\(258\) | 4081.57 | + | 1198.46i | 0.984914 | + | 0.289197i | ||||
\(259\) | −1564.10 | + | 3424.91i | −0.375246 | + | 0.821674i | ||||
\(260\) | 58.3434 | − | 67.3319i | 0.0139166 | − | 0.0160606i | ||||
\(261\) | −18.4926 | + | 128.619i | −0.00438567 | + | 0.0305030i | ||||
\(262\) | 4387.65 | − | 1288.33i | 1.03462 | − | 0.303792i | ||||
\(263\) | −1602.31 | − | 1849.17i | −0.375676 | − | 0.433553i | 0.536155 | − | 0.844120i | \(-0.319876\pi\) |
−0.911831 | + | 0.410567i | \(0.865331\pi\) | |||||||
\(264\) | −6038.07 | + | 3880.43i | −1.40764 | + | 0.904636i | ||||
\(265\) | 193.726 | − | 124.500i | 0.0449076 | − | 0.0288603i | ||||
\(266\) | 1748.83 | + | 2018.26i | 0.403112 | + | 0.465216i | ||||
\(267\) | 3900.09 | − | 1145.17i | 0.893939 | − | 0.262484i | ||||
\(268\) | 347.684 | − | 2418.20i | 0.0792470 | − | 0.551175i | ||||
\(269\) | 1634.90 | − | 1886.77i | 0.370563 | − | 0.427653i | −0.539588 | − | 0.841929i | \(-0.681420\pi\) |
0.910151 | + | 0.414277i | \(0.135965\pi\) | |||||||
\(270\) | 118.331 | − | 259.109i | 0.0266719 | − | 0.0584032i | ||||
\(271\) | 6957.73 | + | 2042.97i | 1.55960 | + | 0.457940i | 0.943953 | − | 0.330081i | \(-0.107076\pi\) |
0.615648 | + | 0.788021i | \(0.288894\pi\) | |||||||
\(272\) | 480.665 | + | 1052.51i | 0.107149 | + | 0.234624i | ||||
\(273\) | −351.517 | − | 2444.85i | −0.0779296 | − | 0.542012i | ||||
\(274\) | −2909.06 | − | 1869.54i | −0.641398 | − | 0.412201i | ||||
\(275\) | 6625.07 | 1.45275 | ||||||||
\(276\) | 1686.13 | + | 105.423i | 0.367728 | + | 0.0229917i | ||||
\(277\) | 4444.85 | 0.964134 | 0.482067 | − | 0.876134i | \(-0.339886\pi\) | ||||
0.482067 | + | 0.876134i | \(0.339886\pi\) | |||||||
\(278\) | 361.774 | + | 232.498i | 0.0780495 | + | 0.0501594i | ||||
\(279\) | 83.9036 | + | 583.562i | 0.0180042 | + | 0.125222i | ||||
\(280\) | 130.484 | + | 285.720i | 0.0278496 | + | 0.0609822i | ||||
\(281\) | −4358.76 | − | 1279.85i | −0.925344 | − | 0.271705i | −0.215858 | − | 0.976425i | \(-0.569255\pi\) |
−0.709486 | + | 0.704719i | \(0.751073\pi\) | |||||||
\(282\) | −2378.84 | + | 5208.93i | −0.502332 | + | 1.09995i | ||||
\(283\) | −1765.28 | + | 2037.25i | −0.370796 | + | 0.427921i | −0.910228 | − | 0.414108i | \(-0.864094\pi\) |
0.539432 | + | 0.842029i | \(0.318639\pi\) | |||||||
\(284\) | 114.687 | − | 797.666i | 0.0239628 | − | 0.166665i | ||||
\(285\) | 430.845 | − | 126.508i | 0.0895476 | − | 0.0262936i | ||||
\(286\) | 2674.21 | + | 3086.20i | 0.552899 | + | 0.638080i | ||||
\(287\) | 3732.79 | − | 2398.92i | 0.767733 | − | 0.493392i | ||||
\(288\) | 283.840 | − | 182.413i | 0.0580743 | − | 0.0373221i | ||||
\(289\) | 2444.73 | + | 2821.37i | 0.497604 | + | 0.574266i | ||||
\(290\) | −95.8193 | + | 28.1351i | −0.0194024 | + | 0.00569706i | ||||
\(291\) | −388.192 | + | 2699.93i | −0.0782001 | + | 0.543893i | ||||
\(292\) | −1678.66 | + | 1937.28i | −0.336426 | + | 0.388256i | ||||
\(293\) | −993.695 | + | 2175.89i | −0.198131 | + | 0.433846i | −0.982454 | − | 0.186507i | \(-0.940283\pi\) |
0.784323 | + | 0.620353i | \(0.213011\pi\) | |||||||
\(294\) | −1925.78 | − | 565.461i | −0.382020 | − | 0.112171i | ||||
\(295\) | 47.0943 | + | 103.122i | 0.00929470 | + | 0.0203526i | ||||
\(296\) | 978.981 | + | 6808.96i | 0.192237 | + | 1.33704i | ||||
\(297\) | −5931.82 | − | 3812.15i | −1.15892 | − | 0.744792i | ||||
\(298\) | 1275.25 | 0.247897 | ||||||||
\(299\) | −297.179 | − | 3690.25i | −0.0574792 | − | 0.713755i | ||||
\(300\) | −1900.79 | −0.365807 | ||||||||
\(301\) | −3876.69 | − | 2491.40i | −0.742354 | − | 0.477082i | ||||
\(302\) | −963.463 | − | 6701.03i | −0.183580 | − | 1.27683i | ||||
\(303\) | −951.456 | − | 2083.40i | −0.180395 | − | 0.395010i | ||||
\(304\) | 2809.61 | + | 824.975i | 0.530072 | + | 0.155643i | ||||
\(305\) | −159.807 | + | 349.928i | −0.0300017 | + | 0.0656945i | ||||
\(306\) | 143.854 | − | 166.016i | 0.0268745 | − | 0.0310148i | ||||
\(307\) | 694.706 | − | 4831.79i | 0.129150 | − | 0.898256i | −0.817485 | − | 0.575949i | \(-0.804633\pi\) |
0.946635 | − | 0.322307i | \(-0.104458\pi\) | |||||||
\(308\) | 1936.93 | − | 568.734i | 0.358334 | − | 0.105216i | ||||
\(309\) | 1112.33 | + | 1283.70i | 0.204784 | + | 0.236333i | ||||
\(310\) | −381.172 | + | 244.965i | −0.0698359 | + | 0.0448808i | ||||
\(311\) | −1797.34 | + | 1155.08i | −0.327710 | + | 0.210606i | −0.694141 | − | 0.719839i | \(-0.744216\pi\) |
0.366432 | + | 0.930445i | \(0.380579\pi\) | |||||||
\(312\) | −2955.19 | − | 3410.47i | −0.536233 | − | 0.618846i | ||||
\(313\) | −4062.27 | + | 1192.79i | −0.733589 | + | 0.215401i | −0.627128 | − | 0.778916i | \(-0.715770\pi\) |
−0.106460 | + | 0.994317i | \(0.533952\pi\) | |||||||
\(314\) | 300.640 | − | 2091.00i | 0.0540321 | − | 0.375802i | ||||
\(315\) | 23.4369 | − | 27.0476i | 0.00419212 | − | 0.00483797i | ||||
\(316\) | 919.011 | − | 2012.35i | 0.163603 | − | 0.358240i | ||||
\(317\) | −6891.59 | − | 2023.55i | −1.22104 | − | 0.358530i | −0.393180 | − | 0.919462i | \(-0.628625\pi\) |
−0.827862 | + | 0.560931i | \(0.810443\pi\) | |||||||
\(318\) | −1258.03 | − | 2754.70i | −0.221845 | − | 0.485773i | ||||
\(319\) | 351.808 | + | 2446.88i | 0.0617475 | + | 0.429463i | ||||
\(320\) | 432.655 | + | 278.050i | 0.0755817 | + | 0.0485734i | ||||
\(321\) | −3851.64 | −0.669712 | ||||||||
\(322\) | 3185.60 | + | 1155.77i | 0.551325 | + | 0.200027i | ||||
\(323\) | −2985.72 | −0.514335 | ||||||||
\(324\) | 1880.70 | + | 1208.65i | 0.322479 | + | 0.207245i | ||||
\(325\) | 592.797 | + | 4123.00i | 0.101177 | + | 0.703701i | ||||
\(326\) | −2123.78 | − | 4650.43i | −0.360814 | − | 0.790072i | ||||
\(327\) | 3603.26 | + | 1058.01i | 0.609359 | + | 0.178924i | ||||
\(328\) | 3367.67 | − | 7374.16i | 0.566915 | − | 1.24137i | ||||
\(329\) | 4062.37 | − | 4688.22i | 0.680746 | − | 0.785623i | ||||
\(330\) | −89.4462 | + | 622.112i | −0.0149208 | + | 0.103776i | ||||
\(331\) | −7628.04 | + | 2239.80i | −1.26669 | + | 0.371934i | −0.844981 | − | 0.534796i | \(-0.820389\pi\) |
−0.421711 | + | 0.906730i | \(0.638570\pi\) | |||||||
\(332\) | 2485.97 | + | 2868.96i | 0.410949 | + | 0.474261i | ||||
\(333\) | 659.367 | − | 423.750i | 0.108508 | − | 0.0697337i | ||||
\(334\) | −2465.29 | + | 1584.35i | −0.403876 | + | 0.259555i | ||||
\(335\) | −539.599 | − | 622.730i | −0.0880043 | − | 0.101562i | ||||
\(336\) | 2378.63 | − | 698.430i | 0.386206 | − | 0.113400i | ||||
\(337\) | −477.993 | + | 3324.52i | −0.0772639 | + | 0.537383i | 0.914023 | + | 0.405662i | \(0.132959\pi\) |
−0.991287 | + | 0.131720i | \(0.957950\pi\) | |||||||
\(338\) | 1597.74 | − | 1843.90i | 0.257118 | − | 0.296730i | ||||
\(339\) | 2199.66 | − | 4816.58i | 0.352416 | − | 0.771683i | ||||
\(340\) | −87.4823 | − | 25.6871i | −0.0139541 | − | 0.00409729i | ||||
\(341\) | 4659.30 | + | 10202.5i | 0.739928 | + | 1.62022i | ||||
\(342\) | −79.1163 | − | 550.266i | −0.0125091 | − | 0.0870029i | ||||
\(343\) | 5718.64 | + | 3675.15i | 0.900227 | + | 0.578540i | ||||
\(344\) | −8419.27 | −1.31958 | ||||||||
\(345\) | 399.287 | − | 406.505i | 0.0623098 | − | 0.0634362i | ||||
\(346\) | 463.150 | 0.0719627 | ||||||||
\(347\) | 972.336 | + | 624.882i | 0.150426 | + | 0.0966727i | 0.613689 | − | 0.789548i | \(-0.289685\pi\) |
−0.463263 | + | 0.886221i | \(0.653321\pi\) | |||||||
\(348\) | −100.937 | − | 702.031i | −0.0155482 | − | 0.108140i | ||||
\(349\) | 2880.02 | + | 6306.36i | 0.441730 | + | 0.967254i | 0.991277 | + | 0.131792i | \(0.0420730\pi\) |
−0.549547 | + | 0.835463i | \(0.685200\pi\) | |||||||
\(350\) | −3658.33 | − | 1074.18i | −0.558702 | − | 0.164050i | ||||
\(351\) | 1841.66 | − | 4032.67i | 0.280058 | − | 0.613242i | ||||
\(352\) | 4203.43 | − | 4851.01i | 0.636487 | − | 0.734545i | ||||
\(353\) | −1439.25 | + | 10010.2i | −0.217008 | + | 1.50932i | 0.531991 | + | 0.846750i | \(0.321444\pi\) |
−0.748999 | + | 0.662571i | \(0.769465\pi\) | |||||||
\(354\) | 1430.46 | − | 420.021i | 0.214768 | − | 0.0630617i | ||||
\(355\) | −177.992 | − | 205.414i | −0.0266108 | − | 0.0307105i | ||||
\(356\) | −1757.12 | + | 1129.23i | −0.261593 | + | 0.168116i | ||||
\(357\) | −2126.47 | + | 1366.60i | −0.315251 | + | 0.202599i | ||||
\(358\) | −665.486 | − | 768.011i | −0.0982458 | − | 0.113382i | ||||
\(359\) | 8430.92 | − | 2475.54i | 1.23946 | − | 0.363939i | 0.404649 | − | 0.914472i | \(-0.367394\pi\) |
0.834813 | + | 0.550533i | \(0.185576\pi\) | |||||||
\(360\) | 9.30554 | − | 64.7215i | 0.00136235 | − | 0.00947534i | ||||
\(361\) | −456.443 | + | 526.763i | −0.0665466 | + | 0.0767988i | ||||
\(362\) | −3354.11 | + | 7344.48i | −0.486984 | + | 1.06635i | ||||
\(363\) | 7955.63 | + | 2335.98i | 1.15031 | + | 0.337761i | ||||
\(364\) | 527.254 | + | 1154.53i | 0.0759221 | + | 0.166246i | ||||
\(365\) | 123.042 | + | 855.774i | 0.0176447 | + | 0.122721i | ||||
\(366\) | 4255.85 | + | 2735.07i | 0.607806 | + | 0.390613i | ||||
\(367\) | −10727.8 | −1.52585 | −0.762924 | − | 0.646488i | \(-0.776237\pi\) | ||||
−0.762924 | + | 0.646488i | \(0.776237\pi\) | |||||||
\(368\) | 3623.63 | − | 822.336i | 0.513302 | − | 0.116487i | ||||
\(369\) | −923.684 | −0.130312 | ||||||||
\(370\) | 506.747 | + | 325.667i | 0.0712015 | + | 0.0457584i | ||||
\(371\) | 466.881 | + | 3247.23i | 0.0653350 | + | 0.454415i | ||||
\(372\) | −1336.80 | − | 2927.18i | −0.186316 | − | 0.407976i | ||||
\(373\) | −2097.90 | − | 616.000i | −0.291221 | − | 0.0855101i | 0.132859 | − | 0.991135i | \(-0.457584\pi\) |
−0.424080 | + | 0.905625i | \(0.639402\pi\) | |||||||
\(374\) | 1736.06 | − | 3801.43i | 0.240025 | − | 0.525581i | ||||
\(375\) | −842.683 | + | 972.508i | −0.116043 | + | 0.133920i | ||||
\(376\) | 1612.95 | − | 11218.3i | 0.221228 | − | 1.53867i | ||||
\(377\) | −1491.29 | + | 437.883i | −0.203728 | + | 0.0598200i | ||||
\(378\) | 2657.42 | + | 3066.83i | 0.361595 | + | 0.417303i | ||||
\(379\) | 5938.20 | − | 3816.25i | 0.804815 | − | 0.517223i | −0.0723687 | − | 0.997378i | \(-0.523056\pi\) |
0.877184 | + | 0.480155i | \(0.159419\pi\) | |||||||
\(380\) | −194.110 | + | 124.747i | −0.0262043 | + | 0.0168405i | ||||
\(381\) | −5084.26 | − | 5867.55i | −0.683661 | − | 0.788987i | ||||
\(382\) | −4307.96 | + | 1264.93i | −0.577001 | + | 0.169423i | ||||
\(383\) | −682.102 | + | 4744.12i | −0.0910020 | + | 0.632933i | 0.892366 | + | 0.451312i | \(0.149044\pi\) |
−0.983369 | + | 0.181622i | \(0.941865\pi\) | |||||||
\(384\) | 989.961 | − | 1142.48i | 0.131559 | − | 0.151827i | ||||
\(385\) | 282.841 | − | 619.334i | 0.0374413 | − | 0.0819849i | ||||
\(386\) | 2000.01 | + | 587.257i | 0.263725 | + | 0.0774368i | ||||
\(387\) | 398.504 | + | 872.603i | 0.0523440 | + | 0.114617i | ||||
\(388\) | −199.475 | − | 1387.38i | −0.0261000 | − | 0.181530i | ||||
\(389\) | −10894.7 | − | 7001.62i | −1.42001 | − | 0.912587i | −0.999987 | − | 0.00507498i | \(-0.998385\pi\) |
−0.420026 | − | 0.907512i | \(-0.637979\pi\) | |||||||
\(390\) | −395.164 | −0.0513075 | ||||||||
\(391\) | −3308.90 | + | 1845.46i | −0.427975 | + | 0.238693i | ||||
\(392\) | 3972.41 | 0.511829 | ||||||||
\(393\) | 9214.96 | + | 5922.09i | 1.18278 | + | 0.760127i | ||||
\(394\) | 1018.73 | + | 7085.41i | 0.130261 | + | 0.905984i | ||||
\(395\) | −309.962 | − | 678.722i | −0.0394832 | − | 0.0864562i | ||||
\(396\) | −403.210 | − | 118.393i | −0.0511668 | − | 0.0150239i | ||||
\(397\) | 1789.59 | − | 3918.67i | 0.226240 | − | 0.495396i | −0.762138 | − | 0.647415i | \(-0.775850\pi\) |
0.988378 | + | 0.152019i | \(0.0485774\pi\) | |||||||
\(398\) | 568.304 | − | 655.857i | 0.0715741 | − | 0.0826009i | ||||
\(399\) | −910.384 | + | 6331.86i | −0.114226 | + | 0.794460i | ||||
\(400\) | −4011.32 | + | 1177.83i | −0.501415 | + | 0.147229i | ||||
\(401\) | −9704.67 | − | 11199.8i | −1.20855 | − | 1.39474i | −0.895535 | − | 0.444990i | \(-0.853207\pi\) |
−0.313013 | − | 0.949749i | \(-0.601338\pi\) | |||||||
\(402\) | −9115.83 | + | 5858.39i | −1.13099 | + | 0.726840i | ||||
\(403\) | −5932.42 | + | 3812.53i | −0.733287 | + | 0.471255i | ||||
\(404\) | 770.721 | + | 889.460i | 0.0949129 | + | 0.109535i | ||||
\(405\) | 723.471 | − | 212.430i | 0.0887643 | − | 0.0260636i | ||||
\(406\) | 202.468 | − | 1408.20i | 0.0247495 | − | 0.172137i | ||||
\(407\) | 9764.68 | − | 11269.0i | 1.18923 | − | 1.37245i | ||||
\(408\) | −1918.47 | + | 4200.86i | −0.232790 | + | 0.509739i | ||||
\(409\) | 2303.17 | + | 676.271i | 0.278446 | + | 0.0817591i | 0.417974 | − | 0.908459i | \(-0.362740\pi\) |
−0.139528 | + | 0.990218i | \(0.544559\pi\) | |||||||
\(410\) | −294.896 | − | 645.733i | −0.0355217 | − | 0.0777817i | ||||
\(411\) | −1178.83 | − | 8198.97i | −0.141478 | − | 0.984003i | ||||
\(412\) | −734.266 | − | 471.884i | −0.0878027 | − | 0.0564274i | ||||
\(413\) | −1615.03 | −0.192423 | ||||||||
\(414\) | −427.797 | − | 560.926i | −0.0507852 | − | 0.0665894i | ||||
\(415\) | 1280.36 | 0.151447 | ||||||||
\(416\) | 3395.06 | + | 2181.87i | 0.400136 | + | 0.257152i | ||||
\(417\) | 146.601 | + | 1019.63i | 0.0172160 | + | 0.119740i | ||||
\(418\) | −4393.46 | − | 9620.33i | −0.514094 | − | 1.12571i | ||||
\(419\) | −530.601 | − | 155.799i | −0.0618653 | − | 0.0181653i | 0.250653 | − | 0.968077i | \(-0.419355\pi\) |
−0.312519 | + | 0.949912i | \(0.601173\pi\) | |||||||
\(420\) | −81.1495 | + | 177.693i | −0.00942783 | + | 0.0206441i | ||||
\(421\) | 7957.29 | − | 9183.20i | 0.921175 | − | 1.06309i | −0.0766426 | − | 0.997059i | \(-0.524420\pi\) |
0.997817 | − | 0.0660337i | \(-0.0210345\pi\) | |||||||
\(422\) | −1422.43 | + | 9893.22i | −0.164083 | + | 1.14122i | ||||
\(423\) | −1239.05 | + | 363.818i | −0.142423 | + | 0.0418190i | ||||
\(424\) | 3925.06 | + | 4529.76i | 0.449570 | + | 0.518831i | ||||
\(425\) | 3586.07 | − | 2304.63i | 0.409294 | − | 0.263037i | ||||
\(426\) | −3006.95 | + | 1932.45i | −0.341988 | + | 0.219782i | ||||
\(427\) | −3588.86 | − | 4141.77i | −0.406738 | − | 0.469401i | ||||
\(428\) | 1899.02 | − | 557.603i | 0.214469 | − | 0.0629737i | ||||
\(429\) | −1392.11 | + | 9682.30i | −0.156670 | + | 1.08966i | ||||
\(430\) | −482.796 | + | 557.177i | −0.0541454 | + | 0.0624871i | ||||
\(431\) | 6145.15 | − | 13456.0i | 0.686779 | − | 1.50384i | −0.168519 | − | 0.985698i | \(-0.553898\pi\) |
0.855297 | − | 0.518137i | \(-0.173374\pi\) | |||||||
\(432\) | 4269.32 | + | 1253.58i | 0.475480 | + | 0.139614i | ||||
\(433\) | −2872.49 | − | 6289.87i | −0.318806 | − | 0.698087i | 0.680596 | − | 0.732658i | \(-0.261721\pi\) |
−0.999402 | + | 0.0345713i | \(0.988993\pi\) | |||||||
\(434\) | −918.628 | − | 6389.20i | −0.101603 | − | 0.706662i | ||||
\(435\) | −201.240 | − | 129.329i | −0.0221809 | − | 0.0142548i | ||||
\(436\) | −1929.72 | −0.211966 | ||||||||
\(437\) | −1954.12 | + | 9386.98i | −0.213909 | + | 1.02755i | ||||
\(438\) | 11369.7 | 1.24033 | ||||||||
\(439\) | 597.162 | + | 383.773i | 0.0649225 | + | 0.0417232i | 0.572699 | − | 0.819765i | \(-0.305896\pi\) |
−0.507777 | + | 0.861489i | \(0.669533\pi\) | |||||||
\(440\) | −177.031 | − | 1231.28i | −0.0191810 | − | 0.133407i | ||||
\(441\) | −188.024 | − | 411.714i | −0.0203027 | − | 0.0444568i | ||||
\(442\) | 2521.09 | + | 740.260i | 0.271304 | + | 0.0796620i | ||||
\(443\) | −5021.26 | + | 10995.0i | −0.538526 | + | 1.17921i | 0.423411 | + | 0.905938i | \(0.360833\pi\) |
−0.961937 | + | 0.273271i | \(0.911895\pi\) | |||||||
\(444\) | −2801.57 | + | 3233.19i | −0.299452 | + | 0.345586i | ||||
\(445\) | −100.256 | + | 697.299i | −0.0106800 | + | 0.0742812i | ||||
\(446\) | −8418.76 | + | 2471.97i | −0.893812 | + | 0.262447i | ||||
\(447\) | 2000.42 | + | 2308.61i | 0.211670 | + | 0.244281i | ||||
\(448\) | −6163.63 | + | 3961.12i | −0.650009 | + | 0.417736i | ||||
\(449\) | −1163.16 | + | 747.519i | −0.122256 | + | 0.0785693i | −0.600340 | − | 0.799745i | \(-0.704968\pi\) |
0.478084 | + | 0.878314i | \(0.341332\pi\) | |||||||
\(450\) | 519.765 | + | 599.841i | 0.0544488 | + | 0.0628372i | ||||
\(451\) | −16860.6 | + | 4950.72i | −1.76039 | + | 0.516897i | ||||
\(452\) | −387.226 | + | 2693.22i | −0.0402956 | + | 0.280262i | ||||
\(453\) | 10619.6 | − | 12255.7i | 1.10144 | − | 1.27113i | ||||
\(454\) | 687.992 | − | 1506.49i | 0.0711213 | − | 0.155734i | ||||
\(455\) | 410.740 | + | 120.604i | 0.0423204 | + | 0.0124264i | ||||
\(456\) | 4855.09 | + | 10631.2i | 0.498598 | + | 1.09178i | ||||
\(457\) | −576.226 | − | 4007.74i | −0.0589818 | − | 0.410228i | −0.997827 | − | 0.0658882i | \(-0.979012\pi\) |
0.938845 | − | 0.344340i | \(-0.111897\pi\) | |||||||
\(458\) | 11487.3 | + | 7382.43i | 1.17198 | + | 0.753184i | ||||
\(459\) | −4536.93 | −0.461364 | ||||||||
\(460\) | −138.015 | + | 258.229i | −0.0139891 | + | 0.0261738i | ||||
\(461\) | 10896.5 | 1.10087 | 0.550436 | − | 0.834877i | \(-0.314461\pi\) | ||||
0.550436 | + | 0.834877i | \(0.314461\pi\) | |||||||
\(462\) | −7532.40 | − | 4840.78i | −0.758526 | − | 0.487475i | ||||
\(463\) | 699.300 | + | 4863.74i | 0.0701927 | + | 0.488201i | 0.994347 | + | 0.106181i | \(0.0338623\pi\) |
−0.924154 | + | 0.382020i | \(0.875229\pi\) | |||||||
\(464\) | −648.027 | − | 1418.98i | −0.0648360 | − | 0.141971i | ||||
\(465\) | −1041.39 | − | 305.779i | −0.103856 | − | 0.0304950i | ||||
\(466\) | 3665.68 | − | 8026.72i | 0.364398 | − | 0.797920i | ||||
\(467\) | −8405.40 | + | 9700.35i | −0.832881 | + | 0.961196i | −0.999693 | − | 0.0247926i | \(-0.992107\pi\) |
0.166811 | + | 0.985989i | \(0.446653\pi\) | |||||||
\(468\) | 37.6015 | − | 261.524i | 0.00371395 | − | 0.0258311i | ||||
\(469\) | 11263.1 | − | 3307.15i | 1.10892 | − | 0.325608i | ||||
\(470\) | −649.921 | − | 750.049i | −0.0637843 | − | 0.0736110i | ||||
\(471\) | 4256.96 | − | 2735.78i | 0.416455 | − | 0.267639i | ||||
\(472\) | −2482.27 | + | 1595.26i | −0.242067 | + | 0.155567i | ||||
\(473\) | 11951.1 | + | 13792.3i | 1.16176 | + | 1.34074i | ||||
\(474\) | −9414.88 | + | 2764.46i | −0.912321 | + | 0.267882i | ||||
\(475\) | 1535.27 | − | 10678.0i | 0.148301 | − | 1.03146i | ||||
\(476\) | 850.594 | − | 981.638i | 0.0819053 | − | 0.0945237i | ||||
\(477\) | 283.698 | − | 621.211i | 0.0272319 | − | 0.0596296i | ||||
\(478\) | −6457.72 | − | 1896.16i | −0.617927 | − | 0.181440i | ||||
\(479\) | 4438.11 | + | 9718.12i | 0.423346 | + | 0.926998i | 0.994360 | + | 0.106058i | \(0.0338229\pi\) |
−0.571014 | + | 0.820940i | \(0.693450\pi\) | |||||||
\(480\) | 88.3967 | + | 614.813i | 0.00840571 | + | 0.0584630i | ||||
\(481\) | 7886.82 | + | 5068.55i | 0.747626 | + | 0.480470i | ||||
\(482\) | 13212.1 | 1.24854 | ||||||||
\(483\) | 2904.77 | + | 7579.94i | 0.273648 | + | 0.714077i | ||||
\(484\) | −4260.64 | −0.400135 | ||||||||
\(485\) | −397.697 | − | 255.584i | −0.0372340 | − | 0.0239288i | ||||
\(486\) | −254.385 | − | 1769.28i | −0.0237430 | − | 0.165136i | ||||
\(487\) | −940.373 | − | 2059.13i | −0.0874998 | − | 0.191598i | 0.860823 | − | 0.508904i | \(-0.169949\pi\) |
−0.948323 | + | 0.317306i | \(0.897222\pi\) | |||||||
\(488\) | −9607.05 | − | 2820.89i | −0.891170 | − | 0.261671i | ||||
\(489\) | 5087.28 | − | 11139.6i | 0.470459 | − | 1.03016i | ||||
\(490\) | 227.795 | − | 262.889i | 0.0210015 | − | 0.0242370i | ||||
\(491\) | −97.0075 | + | 674.702i | −0.00891627 | + | 0.0620140i | −0.993794 | − | 0.111238i | \(-0.964518\pi\) |
0.984878 | + | 0.173252i | \(0.0554275\pi\) | |||||||
\(492\) | 4837.46 | − | 1420.41i | 0.443272 | − | 0.130156i | ||||
\(493\) | 1041.61 | + | 1202.08i | 0.0951558 | + | 0.109816i | ||||
\(494\) | 5593.93 | − | 3595.00i | 0.509480 | − | 0.327423i | ||||
\(495\) | −119.235 | + | 76.6276i | −0.0108267 | + | 0.00695789i | ||||
\(496\) | −4634.93 | − | 5349.00i | −0.419586 | − | 0.484228i | ||||
\(497\) | 3715.25 | − | 1090.90i | 0.335316 | − | 0.0984575i | ||||
\(498\) | 2396.24 | − | 16666.2i | 0.215619 | − | 1.49966i | ||||
\(499\) | −10219.6 | + | 11794.1i | −0.916821 | + | 1.05807i | 0.0812932 | + | 0.996690i | \(0.474095\pi\) |
−0.998115 | + | 0.0613780i | \(0.980450\pi\) | |||||||
\(500\) | 274.688 | − | 601.482i | 0.0245688 | − | 0.0537982i | ||||
\(501\) | −6735.33 | − | 1977.67i | −0.600623 | − | 0.176359i | ||||
\(502\) | 2054.23 | + | 4498.14i | 0.182639 | + | 0.399924i | ||||
\(503\) | −2733.21 | − | 19009.9i | −0.242282 | − | 1.68511i | −0.640613 | − | 0.767864i | \(-0.721320\pi\) |
0.398332 | − | 0.917241i | \(-0.369589\pi\) | |||||||
\(504\) | 783.634 | + | 503.611i | 0.0692576 | + | 0.0445092i | ||||
\(505\) | 396.950 | 0.0349783 | ||||||||
\(506\) | −10815.3 | − | 7946.07i | −0.950196 | − | 0.698115i | ||||
\(507\) | 5844.32 | 0.511944 | ||||||||
\(508\) | 3356.20 | + | 2156.90i | 0.293125 | + | 0.188380i | ||||
\(509\) | −2375.24 | − | 16520.1i | −0.206838 | − | 1.43859i | −0.783390 | − | 0.621530i | \(-0.786511\pi\) |
0.576552 | − | 0.817060i | \(-0.304398\pi\) | |||||||
\(510\) | 167.995 | + | 367.857i | 0.0145861 | + | 0.0319392i | ||||
\(511\) | −11817.9 | − | 3470.04i | −1.02308 | − | 0.300402i | ||||
\(512\) | −4439.70 | + | 9721.60i | −0.383221 | + | 0.839137i | ||||
\(513\) | −7518.90 | + | 8677.27i | −0.647110 | + | 0.746805i | ||||
\(514\) | −1421.77 | + | 9888.65i | −0.122007 | + | 0.848579i | ||||
\(515\) | −282.459 | + | 82.9375i | −0.0241682 | + | 0.00709643i | ||||
\(516\) | −3428.88 | − | 3957.14i | −0.292535 | − | 0.337603i | ||||
\(517\) | −20667.3 | + | 13282.0i | −1.75811 | + | 1.12987i | ||||
\(518\) | −7219.16 | + | 4639.47i | −0.612339 | + | 0.393526i | ||||
\(519\) | 726.518 | + | 838.446i | 0.0614462 | + | 0.0709127i | ||||
\(520\) | 750.426 | − | 220.345i | 0.0632853 | − | 0.0185822i | ||||
\(521\) | −307.391 | + | 2137.95i | −0.0258485 | + | 0.179780i | −0.998656 | − | 0.0518367i | \(-0.983492\pi\) |
0.972807 | + | 0.231617i | \(0.0744015\pi\) | |||||||
\(522\) | −193.942 | + | 223.821i | −0.0162617 | + | 0.0187670i | ||||
\(523\) | 1391.06 | − | 3045.99i | 0.116304 | − | 0.254669i | −0.842524 | − | 0.538659i | \(-0.818931\pi\) |
0.958827 | + | 0.283990i | \(0.0916583\pi\) | |||||||
\(524\) | −5400.70 | − | 1585.79i | −0.450249 | − | 0.132205i | ||||
\(525\) | −3794.01 | − | 8307.73i | −0.315399 | − | 0.690627i | ||||
\(526\) | −793.641 | − | 5519.90i | −0.0657878 | − | 0.457565i | ||||
\(527\) | 6071.10 | + | 3901.66i | 0.501824 | + | 0.322503i | ||||
\(528\) | −9817.74 | −0.809209 | ||||||||
\(529\) | 3636.42 | + | 11610.9i | 0.298876 | + | 0.954292i | ||||
\(530\) | 524.853 | 0.0430154 | ||||||||
\(531\) | 282.830 | + | 181.764i | 0.0231145 | + | 0.0148548i | ||||
\(532\) | −467.807 | − | 3253.67i | −0.0381241 | − | 0.265159i | ||||
\(533\) | −4589.65 | − | 10049.9i | −0.372983 | − | 0.816719i | ||||
\(534\) | 8888.96 | + | 2610.03i | 0.720343 | + | 0.211512i | ||||
\(535\) | 277.305 | − | 607.213i | 0.0224092 | − | 0.0490693i | ||||
\(536\) | 14044.5 | − | 16208.2i | 1.13177 | − | 1.30614i | ||||
\(537\) | 346.430 | − | 2409.48i | 0.0278390 | − | 0.193625i | ||||
\(538\) | 5459.59 | − | 1603.08i | 0.437508 | − | 0.128464i | ||||
\(539\) | −5638.82 | − | 6507.54i | −0.450614 | − | 0.520036i | ||||
\(540\) | −294.959 | + | 189.558i | −0.0235056 | + | 0.0151061i | ||||
\(541\) | 8920.48 | − | 5732.85i | 0.708912 | − | 0.455590i | −0.135852 | − | 0.990729i | \(-0.543377\pi\) |
0.844764 | + | 0.535139i | \(0.179741\pi\) | |||||||
\(542\) | 10823.1 | + | 12490.5i | 0.857733 | + | 0.989876i | ||||
\(543\) | −18557.2 | + | 5448.90i | −1.46661 | + | 0.430634i | ||||
\(544\) | 587.768 | − | 4088.02i | 0.0463242 | − | 0.322192i | ||||
\(545\) | −426.218 | + | 491.881i | −0.0334994 | + | 0.0386603i | ||||
\(546\) | 2338.59 | − | 5120.81i | 0.183301 | − | 0.401374i | ||||
\(547\) | 6613.41 | + | 1941.87i | 0.516945 | + | 0.151789i | 0.529790 | − | 0.848129i | \(-0.322271\pi\) |
−0.0128453 | + | 0.999917i | \(0.504089\pi\) | |||||||
\(548\) | 1768.18 | + | 3871.77i | 0.137834 | + | 0.301814i | ||||
\(549\) | 162.359 | + | 1129.23i | 0.0126217 | + | 0.0877856i | ||||
\(550\) | 12702.6 | + | 8163.48i | 0.984803 | + | 0.632894i | ||||
\(551\) | 4025.31 | 0.311223 | ||||||||
\(552\) | 11951.7 | + | 8780.99i | 0.921554 | + | 0.677072i | ||||
\(553\) | 10629.7 | 0.817398 | ||||||||
\(554\) | 8522.37 | + | 5476.99i | 0.653575 | + | 0.420027i | ||||
\(555\) | 205.348 | + | 1428.23i | 0.0157055 | + | 0.109234i | ||||
\(556\) | −219.892 | − | 481.497i | −0.0167725 | − | 0.0367267i | ||||
\(557\) | 8227.15 | + | 2415.71i | 0.625845 | + | 0.183765i | 0.579251 | − | 0.815149i | \(-0.303345\pi\) |
0.0465938 | + | 0.998914i | \(0.485163\pi\) | |||||||
\(558\) | −558.199 | + | 1222.28i | −0.0423485 | + | 0.0927302i | ||||
\(559\) | −7514.05 | + | 8671.68i | −0.568534 | + | 0.656123i | ||||
\(560\) | −61.1456 | + | 425.277i | −0.00461406 | + | 0.0320915i | ||||
\(561\) | 9605.04 | − | 2820.29i | 0.722861 | − | 0.212251i | ||||
\(562\) | −6780.25 | − | 7824.83i | −0.508911 | − | 0.587314i | ||||
\(563\) | −5551.65 | + | 3567.83i | −0.415585 | + | 0.267080i | −0.731681 | − | 0.681647i | \(-0.761264\pi\) |
0.316096 | + | 0.948727i | \(0.397628\pi\) | |||||||
\(564\) | 5929.62 | − | 3810.74i | 0.442699 | − | 0.284505i | ||||
\(565\) | 600.968 | + | 693.554i | 0.0447485 | + | 0.0516425i | ||||
\(566\) | −5895.00 | + | 1730.93i | −0.437783 | + | 0.128545i | ||||
\(567\) | −1528.71 | + | 10632.4i | −0.113227 | + | 0.787511i | ||||
\(568\) | 4632.72 | − | 5346.44i | 0.342226 | − | 0.394950i | ||||
\(569\) | −8030.73 | + | 17584.8i | −0.591680 | + | 1.29560i | 0.342742 | + | 0.939430i | \(0.388644\pi\) |
−0.934422 | + | 0.356168i | \(0.884083\pi\) | |||||||
\(570\) | 981.969 | + | 288.332i | 0.0721581 | + | 0.0211875i | ||||
\(571\) | 1445.94 | + | 3166.17i | 0.105973 | + | 0.232049i | 0.955189 | − | 0.295997i | \(-0.0956519\pi\) |
−0.849215 | + | 0.528047i | \(0.822925\pi\) | |||||||
\(572\) | −715.342 | − | 4975.31i | −0.0522901 | − | 0.363686i | ||||
\(573\) | −9047.59 | − | 5814.53i | −0.659631 | − | 0.423919i | ||||
\(574\) | 10113.1 | 0.735385 | ||||||||
\(575\) | −4898.60 | − | 12782.8i | −0.355280 | − | 0.927094i | ||||
\(576\) | 1525.20 | 0.110330 | ||||||||
\(577\) | 10652.1 | + | 6845.70i | 0.768551 | + | 0.493918i | 0.865216 | − | 0.501399i | \(-0.167181\pi\) |
−0.0966652 | + | 0.995317i | \(0.530818\pi\) | |||||||
\(578\) | 1210.90 | + | 8422.00i | 0.0871398 | + | 0.606071i | ||||
\(579\) | 2074.19 | + | 4541.85i | 0.148878 | + | 0.325998i | ||||
\(580\) | 117.943 | + | 34.6310i | 0.00844361 | + | 0.00247927i | ||||
\(581\) | −7577.24 | + | 16591.8i | −0.541062 | + | 1.18476i | ||||
\(582\) | −4071.19 | + | 4698.41i | −0.289959 | + | 0.334631i | ||||
\(583\) | 1848.98 | − | 12859.9i | 0.131350 | − | 0.913558i | ||||
\(584\) | −21591.3 | + | 6339.79i | −1.52989 | + | 0.449216i | ||||
\(585\) | −58.3568 | − | 67.3473i | −0.00412437 | − | 0.00475978i | ||||
\(586\) | −4586.42 | + | 2947.52i | −0.323316 | + | 0.207783i | ||||
\(587\) | 17275.9 | − | 11102.5i | 1.21474 | − | 0.780666i | 0.233294 | − | 0.972406i | \(-0.425049\pi\) |
0.981446 | + | 0.191740i | \(0.0614131\pi\) | |||||||
\(588\) | 1617.83 | + | 1867.07i | 0.113466 | + | 0.130947i | ||||
\(589\) | 17523.7 | − | 5145.41i | 1.22589 | − | 0.359954i | ||||
\(590\) | −36.7716 | + | 255.752i | −0.00256587 | + | 0.0178460i | ||||
\(591\) | −11228.8 | + | 12958.7i | −0.781540 | + | 0.901946i | ||||
\(592\) | −3908.83 | + | 8559.14i | −0.271371 | + | 0.594221i | ||||
\(593\) | 264.834 | + | 77.7624i | 0.0183397 | + | 0.00538502i | 0.290890 | − | 0.956757i | \(-0.406049\pi\) |
−0.272550 | + | 0.962142i | \(0.587867\pi\) | |||||||
\(594\) | −6676.05 | − | 14618.5i | −0.461148 | − | 1.00977i | ||||
\(595\) | −62.3463 | − | 433.628i | −0.00429572 | − | 0.0298774i | ||||
\(596\) | −1320.51 | − | 848.639i | −0.0907552 | − | 0.0583248i | ||||
\(597\) | 2078.77 | 0.142510 | ||||||||
\(598\) | 3977.37 | − | 7441.72i | 0.271985 | − | 0.508887i | ||||
\(599\) | −11890.1 | −0.811047 | −0.405523 | − | 0.914085i | \(-0.632911\pi\) | ||||
−0.405523 | + | 0.914085i | \(0.632911\pi\) | |||||||
\(600\) | −14037.3 | − | 9021.24i | −0.955119 | − | 0.613817i | ||||
\(601\) | 905.307 | + | 6296.55i | 0.0614447 | + | 0.427357i | 0.997205 | + | 0.0747194i | \(0.0238061\pi\) |
−0.935760 | + | 0.352638i | \(0.885285\pi\) | |||||||
\(602\) | −4363.07 | − | 9553.79i | −0.295391 | − | 0.646816i | ||||
\(603\) | −2344.64 | − | 688.448i | −0.158343 | − | 0.0464938i | ||||
\(604\) | −3461.66 | + | 7579.98i | −0.233200 | + | 0.510638i | ||||
\(605\) | −941.046 | + | 1086.03i | −0.0632380 | + | 0.0729805i | ||||
\(606\) | 742.905 | − | 5167.02i | 0.0497994 | − | 0.346363i | ||||
\(607\) | 8306.38 | − | 2438.97i | 0.555429 | − | 0.163089i | 0.00804118 | − | 0.999968i | \(-0.497440\pi\) |
0.547388 | + | 0.836879i | \(0.315622\pi\) | |||||||
\(608\) | −6844.59 | − | 7899.08i | −0.456554 | − | 0.526892i | ||||
\(609\) | 2866.88 | − | 1842.43i | 0.190758 | − | 0.122593i | ||||
\(610\) | −737.592 | + | 474.021i | −0.0489577 | + | 0.0314632i | ||||
\(611\) | −10115.1 | − | 11673.5i | −0.669744 | − | 0.772926i | ||||
\(612\) | −259.437 | + | 76.1776i | −0.0171358 | + | 0.00503153i | ||||
\(613\) | 1088.91 | − | 7573.53i | 0.0717465 | − | 0.499008i | −0.921986 | − | 0.387223i | \(-0.873434\pi\) |
0.993732 | − | 0.111785i | \(-0.0356567\pi\) | |||||||
\(614\) | 7285.78 | − | 8408.24i | 0.478877 | − | 0.552653i | ||||
\(615\) | 706.391 | − | 1546.78i | 0.0463162 | − | 0.101418i | ||||
\(616\) | 17003.4 | + | 4992.66i | 1.11216 | + | 0.326559i | ||||
\(617\) | −1047.22 | − | 2293.09i | −0.0683298 | − | 0.149621i | 0.872386 | − | 0.488818i | \(-0.162572\pi\) |
−0.940715 | + | 0.339197i | \(0.889845\pi\) | |||||||
\(618\) | 550.949 | + | 3831.93i | 0.0358615 | + | 0.249422i | ||||
\(619\) | −422.627 | − | 271.606i | −0.0274423 | − | 0.0176361i | 0.526848 | − | 0.849960i | \(-0.323374\pi\) |
−0.554290 | + | 0.832324i | \(0.687010\pi\) | |||||||
\(620\) | 557.715 | 0.0361264 | ||||||||
\(621\) | −2969.37 | + | 14263.9i | −0.191878 | + | 0.921725i | ||||
\(622\) | −4869.44 | −0.313902 | ||||||||
\(623\) | −8442.75 | − | 5425.83i | −0.542940 | − | 0.348926i | ||||
\(624\) | −878.471 | − | 6109.90i | −0.0563573 | − | 0.391974i | ||||
\(625\) | 6351.72 | + | 13908.3i | 0.406510 | + | 0.890133i | ||||
\(626\) | −9258.60 | − | 2718.57i | −0.591131 | − | 0.173572i | ||||
\(627\) | 10524.0 | − | 23044.4i | 0.670318 | − | 1.46779i | ||||
\(628\) | −1702.80 | + | 1965.13i | −0.108199 | + | 0.124868i | ||||
\(629\) | 1365.40 | − | 9496.58i | 0.0865535 | − | 0.601993i | ||||
\(630\) | 78.2653 | − | 22.9808i | 0.00494946 | − | 0.00145329i | ||||
\(631\) | 7319.79 | + | 8447.48i | 0.461800 | + | 0.532946i | 0.938113 | − | 0.346330i | \(-0.112572\pi\) |
−0.476312 | + | 0.879276i | \(0.658027\pi\) | |||||||
\(632\) | 16337.6 | − | 10499.5i | 1.02828 | − | 0.660838i | ||||
\(633\) | −20141.1 | + | 12943.9i | −1.26467 | + | 0.812755i | ||||
\(634\) | −10720.2 | − | 12371.8i | −0.671536 | − | 0.774993i | ||||
\(635\) | 1291.07 | − | 379.093i | 0.0806844 | − | 0.0236911i | ||||
\(636\) | −530.489 | + | 3689.63i | −0.0330743 | + | 0.230037i | ||||
\(637\) | 3545.31 | − | 4091.50i | 0.220518 | − | 0.254492i | ||||
\(638\) | −2340.53 | + | 5125.04i | −0.145239 | + | 0.318029i | ||||
\(639\) | −773.402 | − | 227.091i | −0.0478800 | − | 0.0140588i | ||||
\(640\) | 108.838 | + | 238.322i | 0.00672218 | + | 0.0147195i | ||||
\(641\) | 559.763 | + | 3893.24i | 0.0344919 | + | 0.239896i | 0.999773 | − | 0.0213178i | \(-0.00678619\pi\) |
−0.965281 | + | 0.261214i | \(0.915877\pi\) | |||||||
\(642\) | −7384.98 | − | 4746.04i | −0.453990 | − | 0.291762i | ||||
\(643\) | −5309.83 | −0.325660 | −0.162830 | − | 0.986654i | \(-0.552062\pi\) | ||||
−0.162830 | + | 0.986654i | \(0.552062\pi\) | |||||||
\(644\) | −2529.52 | − | 3316.70i | −0.154778 | − | 0.202945i | ||||
\(645\) | −1766.00 | −0.107808 | ||||||||
\(646\) | −5724.70 | − | 3679.04i | −0.348661 | − | 0.224071i | ||||
\(647\) | 277.762 | + | 1931.88i | 0.0168778 | + | 0.117388i | 0.996519 | − | 0.0833705i | \(-0.0265685\pi\) |
−0.979641 | + | 0.200758i | \(0.935659\pi\) | |||||||
\(648\) | 8152.62 | + | 17851.7i | 0.494236 | + | 1.08223i | ||||
\(649\) | 6136.90 | + | 1801.96i | 0.371178 | + | 0.108988i | ||||
\(650\) | −3943.80 | + | 8635.71i | −0.237982 | + | 0.521108i | ||||
\(651\) | 10125.5 | − | 11685.4i | 0.609597 | − | 0.703513i | ||||
\(652\) | −895.561 | + | 6228.76i | −0.0537927 | + | 0.374137i | ||||
\(653\) | −15584.7 | + | 4576.07i | −0.933958 | + | 0.274235i | −0.713093 | − | 0.701069i | \(-0.752706\pi\) |
−0.220865 | + | 0.975304i | \(0.570888\pi\) | |||||||
\(654\) | 5605.04 | + | 6468.56i | 0.335129 | + | 0.386759i | ||||
\(655\) | −1597.06 | + | 1026.37i | −0.0952710 | + | 0.0612269i | ||||
\(656\) | 9328.55 | − | 5995.09i | 0.555211 | − | 0.356813i | ||||
\(657\) | 1679.05 | + | 1937.73i | 0.0997046 | + | 0.115065i | ||||
\(658\) | 13565.9 | − | 3983.31i | 0.803729 | − | 0.235996i | ||||
\(659\) | −715.994 | + | 4979.85i | −0.0423235 | + | 0.294366i | 0.957656 | + | 0.287916i | \(0.0929623\pi\) |
−0.999979 | + | 0.00645045i | \(0.997947\pi\) | |||||||
\(660\) | 506.615 | − | 584.665i | 0.0298787 | − | 0.0344819i | ||||
\(661\) | 7003.08 | − | 15334.6i | 0.412085 | − | 0.902341i | −0.583815 | − | 0.811886i | \(-0.698441\pi\) |
0.995901 | − | 0.0904544i | \(-0.0288319\pi\) | |||||||
\(662\) | −17385.6 | − | 5104.87i | −1.02071 | − | 0.299708i | ||||
\(663\) | 2614.60 | + | 5725.18i | 0.153156 | + | 0.335366i | ||||
\(664\) | 4742.63 | + | 32985.7i | 0.277184 | + | 1.92785i | ||||
\(665\) | −932.676 | − | 599.394i | −0.0543874 | − | 0.0349526i | ||||
\(666\) | 1786.39 | 0.103936 | ||||||||
\(667\) | 4461.02 | − | 2488.03i | 0.258967 | − | 0.144433i | ||||
\(668\) | 3607.10 | 0.208927 | ||||||||
\(669\) | −17681.1 | − | 11363.0i | −1.02181 | − | 0.656677i | ||||
\(670\) | −267.269 | − | 1858.90i | −0.0154112 | − | 0.107187i | ||||
\(671\) | 9016.04 | + | 19742.4i | 0.518719 | + | 1.13584i | ||||
\(672\) | −8490.30 | − | 2492.98i | −0.487381 | − | 0.143108i | ||||
\(673\) | 7572.76 | − | 16582.0i | 0.433742 | − | 0.949762i | −0.558963 | − | 0.829193i | \(-0.688801\pi\) |
0.992705 | − | 0.120570i | \(-0.0384721\pi\) | |||||||
\(674\) | −5012.99 | + | 5785.30i | −0.286488 | + | 0.330625i | ||||
\(675\) | 2332.91 | − | 16225.7i | 0.133028 | − | 0.925228i | ||||
\(676\) | −2881.49 | + | 846.083i | −0.163945 | + | 0.0481385i | ||||
\(677\) | −4462.08 | − | 5149.52i | −0.253311 | − | 0.292337i | 0.614824 | − | 0.788664i | \(-0.289227\pi\) |
−0.868135 | + | 0.496328i | \(0.834682\pi\) | |||||||
\(678\) | 10152.6 | − | 6524.66i | 0.575084 | − | 0.369584i | ||||
\(679\) | 5665.62 | − | 3641.07i | 0.320216 | − | 0.205790i | ||||
\(680\) | −524.144 | − | 604.894i | −0.0295588 | − | 0.0341127i | ||||
\(681\) | 3806.44 | − | 1117.67i | 0.214190 | − | 0.0628917i | ||||
\(682\) | −3638.02 | + | 25303.0i | −0.204263 | + | 1.42068i | ||||
\(683\) | 4906.08 | − | 5661.92i | 0.274855 | − | 0.317200i | −0.601493 | − | 0.798878i | \(-0.705427\pi\) |
0.876348 | + | 0.481679i | \(0.159973\pi\) | |||||||
\(684\) | −284.260 | + | 622.442i | −0.0158903 | + | 0.0347949i | ||||
\(685\) | 1377.44 | + | 404.453i | 0.0768311 | + | 0.0225597i | ||||
\(686\) | 6436.13 | + | 14093.2i | 0.358211 | + | 0.784372i | ||||
\(687\) | 4654.96 | + | 32376.0i | 0.258512 | + | 1.79799i | ||||
\(688\) | −9688.17 | − | 6226.21i | −0.536858 | − | 0.345017i | ||||
\(689\) | 8168.60 | 0.451668 | ||||||||
\(690\) | 1266.48 | − | 287.410i | 0.0698752 | − | 0.0158572i | ||||
\(691\) | −6514.80 | −0.358661 | −0.179330 | − | 0.983789i | \(-0.557393\pi\) | ||||
−0.179330 | + | 0.983789i | \(0.557393\pi\) | |||||||
\(692\) | −479.586 | − | 308.211i | −0.0263455 | − | 0.0169312i | ||||
\(693\) | −287.357 | − | 1998.61i | −0.0157515 | − | 0.109554i | ||||
\(694\) | 1094.33 | + | 2396.25i | 0.0598561 | + | 0.131067i | ||||
\(695\) | −171.300 | − | 50.2982i | −0.00934932 | − | 0.00274521i | ||||
\(696\) | 2586.45 | − | 5663.54i | 0.140861 | − | 0.308443i | ||||
\(697\) | −7404.27 | + | 8544.98i | −0.402377 | + | 0.464368i | ||||
\(698\) | −2248.74 | + | 15640.3i | −0.121943 | + | 0.848131i | ||||
\(699\) | 20281.0 | − | 5955.05i | 1.09742 | − | 0.322232i | ||||
\(700\) | 3073.32 | + | 3546.80i | 0.165944 | + | 0.191509i | ||||
\(701\) | 4031.03 | − | 2590.58i | 0.217189 | − | 0.139579i | −0.427523 | − | 0.904005i | \(-0.640614\pi\) |
0.644712 | + | 0.764425i | \(0.276977\pi\) | |||||||
\(702\) | 8500.22 | − | 5462.76i | 0.457009 | − | 0.293702i | ||||
\(703\) | −15900.2 | − | 18349.8i | −0.853040 | − | 0.984460i | ||||
\(704\) | 27840.5 | − | 8174.71i | 1.49045 | − | 0.437636i | ||||
\(705\) | 338.328 | − | 2353.12i | 0.0180740 | − | 0.125707i | ||||
\(706\) | −15094.3 | + | 17419.7i | −0.804647 | + | 0.928612i | ||||
\(707\) | −2349.16 | + | 5143.95i | −0.124964 | + | 0.273632i | ||||
\(708\) | −1760.73 | − | 516.997i | −0.0934637 | − | 0.0274434i | ||||
\(709\) | −10487.1 | − | 22963.6i | −0.555503 | − | 1.21638i | −0.954164 | − | 0.299284i | \(-0.903252\pi\) |
0.398660 | − | 0.917099i | \(-0.369475\pi\) | |||||||
\(710\) | −88.1613 | − | 613.175i | −0.00466005 | − | 0.0324113i | ||||
\(711\) | −1861.51 | − | 1196.32i | −0.0981885 | − | 0.0631019i | ||||
\(712\) | −18335.7 | −0.965112 | ||||||||
\(713\) | 16240.1 | − | 16533.7i | 0.853010 | − | 0.868431i | ||||
\(714\) | −5761.13 | −0.301968 | ||||||||
\(715\) | −1426.19 | − | 916.558i | −0.0745966 | − | 0.0479403i | ||||
\(716\) | 178.015 | + | 1238.12i | 0.00929155 | + | 0.0646241i | ||||
\(717\) | −6697.23 | − | 14664.9i | −0.348832 | − | 0.763836i | ||||
\(718\) | 19215.5 | + | 5642.17i | 0.998768 | + | 0.293265i | ||||
\(719\) | −11071.0 | + | 24242.1i | −0.574240 | + | 1.25741i | 0.370270 | + | 0.928924i | \(0.379265\pi\) |
−0.944509 | + | 0.328485i | \(0.893462\pi\) | |||||||
\(720\) | 58.5708 | − | 67.5943i | 0.00303167 | − | 0.00349874i | ||||
\(721\) | 596.842 | − | 4151.13i | 0.0308288 | − | 0.214419i | ||||
\(722\) | −1524.25 | + | 447.560i | −0.0785687 | + | 0.0230699i | ||||
\(723\) | 20725.1 | + | 23918.0i | 1.06608 | + | 1.23032i | ||||
\(724\) | 8360.65 | − | 5373.06i | 0.429173 | − | 0.275813i | ||||
\(725\) | −4834.69 | + | 3107.07i | −0.247663 | + | 0.159164i | ||||
\(726\) | 12375.4 | + | 14281.9i | 0.632635 | + | 0.730100i | ||||
\(727\) | −1682.00 | + | 493.879i | −0.0858071 | + | 0.0251952i | −0.324354 | − | 0.945936i | \(-0.605147\pi\) |
0.238547 | + | 0.971131i | \(0.423329\pi\) | |||||||
\(728\) | −1585.66 | + | 11028.5i | −0.0807261 | + | 0.561463i | ||||
\(729\) | −11286.1 | + | 13024.8i | −0.573392 | + | 0.661729i | ||||
\(730\) | −818.579 | + | 1792.44i | −0.0415027 | + | 0.0908783i | ||||
\(731\) | 11266.9 | + | 3308.25i | 0.570068 | + | 0.167387i | ||||
\(732\) | −2586.78 | − | 5664.26i | −0.130615 | − | 0.286007i | ||||
\(733\) | 207.765 | + | 1445.04i | 0.0104693 | + | 0.0728153i | 0.994386 | − | 0.105811i | \(-0.0337438\pi\) |
−0.983917 | + | 0.178626i | \(0.942835\pi\) | |||||||
\(734\) | −20569.0 | − | 13218.9i | −1.03435 | − | 0.664739i | ||||
\(735\) | 833.241 | 0.0418157 | ||||||||
\(736\) | −12467.9 | − | 4523.47i | −0.624418 | − | 0.226545i | ||||
\(737\) | −46488.2 | −2.32349 | ||||||||
\(738\) | −1771.03 | − | 1138.17i | −0.0883368 | − | 0.0567706i | ||||
\(739\) | 1235.71 | + | 8594.54i | 0.0615105 | + | 0.427815i | 0.997187 | + | 0.0749555i | \(0.0238815\pi\) |
−0.935676 | + | 0.352859i | \(0.885209\pi\) | |||||||
\(740\) | −308.010 | − | 674.447i | −0.0153009 | − | 0.0335043i | ||||
\(741\) | 15283.0 | + | 4487.49i | 0.757671 | + | 0.222472i | ||||
\(742\) | −3106.10 | + | 6801.40i | −0.153677 | + | 0.336506i | ||||
\(743\) | 25951.7 | − | 29949.9i | 1.28139 | − | 1.47881i | 0.484369 | − | 0.874864i | \(-0.339049\pi\) |
0.797026 | − | 0.603945i | \(-0.206405\pi\) | |||||||
\(744\) | 4020.28 | − | 27961.7i | 0.198106 | − | 1.37786i | ||||
\(745\) | −507.976 | + | 149.155i | −0.0249809 | + | 0.00733507i | ||||
\(746\) | −3263.39 | − | 3766.15i | −0.160162 | − | 0.184837i | ||||
\(747\) | 3194.28 | − | 2052.84i | 0.156456 | − | 0.100548i | ||||
\(748\) | −4327.39 | + | 2781.04i | −0.211531 | + | 0.135943i | ||||
\(749\) | 6227.58 | + | 7187.01i | 0.303806 | + | 0.350611i | ||||
\(750\) | −2814.06 | + | 826.283i | −0.137007 | + | 0.0402288i | ||||
\(751\) | 4073.51 | − | 28331.9i | 0.197929 | − | 1.37662i | −0.612354 | − | 0.790584i | \(-0.709777\pi\) |
0.810282 | − | 0.586040i | \(-0.199314\pi\) | |||||||
\(752\) | 10152.2 | − | 11716.3i | 0.492304 | − | 0.568149i | ||||
\(753\) | −4920.68 | + | 10774.8i | −0.238140 | + | 0.521455i | ||||
\(754\) | −3398.91 | − | 998.009i | −0.164166 | − | 0.0482034i | ||||
\(755\) | 1167.54 | + | 2556.56i | 0.0562797 | + | 0.123235i | ||||
\(756\) | −710.852 | − | 4944.09i | −0.0341977 | − | 0.237850i | ||||
\(757\) | −33696.2 | − | 21655.2i | −1.61785 | − | 1.03973i | −0.957364 | − | 0.288885i | \(-0.906715\pi\) |
−0.660482 | − | 0.750842i | \(-0.729648\pi\) | |||||||
\(758\) | 16088.1 | 0.770904 | ||||||||
\(759\) | −2580.50 | − | 32043.7i | −0.123407 | − | 1.53243i | ||||
\(760\) | −2025.56 | −0.0966772 | ||||||||
\(761\) | 24402.6 | + | 15682.6i | 1.16241 | + | 0.747035i | 0.972072 | − | 0.234684i | \(-0.0754054\pi\) |
0.190338 | + | 0.981719i | \(0.439042\pi\) | |||||||
\(762\) | −2518.29 | − | 17515.1i | −0.119722 | − | 0.832683i | ||||
\(763\) | −3851.76 | − | 8434.19i | −0.182757 | − | 0.400181i | ||||
\(764\) | 5302.61 | + | 1556.99i | 0.251102 | + | 0.0737301i | ||||
\(765\) | −37.8844 | + | 82.9552i | −0.00179047 | + | 0.00392059i | ||||
\(766\) | −7153.59 | + | 8255.69i | −0.337428 | + | 0.389413i | ||||
\(767\) | −572.299 | + | 3980.43i | −0.0269420 | + | 0.187386i | ||||
\(768\) | −19472.2 | + | 5717.56i | −0.914899 | + | 0.268639i | ||||
\(769\) | 11231.8 | + | 12962.2i | 0.526696 | + | 0.607839i | 0.955295 | − | 0.295656i | \(-0.0955381\pi\) |
−0.428599 | + | 0.903495i | \(0.640993\pi\) | |||||||
\(770\) | 1305.46 | − | 838.966i | 0.0610979 | − | 0.0392653i | ||||
\(771\) | −20131.8 | + | 12937.9i | −0.940375 | + | 0.604342i | ||||
\(772\) | −1680.19 | − | 1939.04i | −0.0783306 | − | 0.0903984i | ||||
\(773\) | 13938.5 | − | 4092.70i | 0.648553 | − | 0.190432i | 0.0591218 | − | 0.998251i | \(-0.481170\pi\) |
0.589432 | + | 0.807818i | \(0.299352\pi\) | |||||||
\(774\) | −311.155 | + | 2164.13i | −0.0144499 | + | 0.100502i | ||||
\(775\) | −17075.5 | + | 19706.2i | −0.791447 | + | 0.913378i | ||||
\(776\) | 5111.44 | − | 11192.5i | 0.236456 | − | 0.517767i | ||||
\(777\) | −19723.2 | − | 5791.25i | −0.910638 | − | 0.267387i | ||||
\(778\) | −12261.6 | − | 26849.2i | −0.565040 | − | 1.23726i | ||||
\(779\) | 4072.17 | + | 28322.6i | 0.187292 | + | 1.30265i | ||||
\(780\) | 409.187 | + | 262.969i | 0.0187837 | + | 0.0120715i | ||||
\(781\) | −15334.6 | −0.702580 | ||||||||
\(782\) | −8618.35 | − | 538.850i | −0.394107 | − | 0.0246410i | ||||
\(783\) | 6116.64 | 0.279171 | ||||||||
\(784\) | 4571.11 | + | 2937.67i | 0.208232 | + | 0.133822i | ||||
\(785\) | 124.811 | + | 868.077i | 0.00567475 | + | 0.0394688i | ||||
\(786\) | 10371.1 | + | 22709.5i | 0.470642 | + | 1.03056i | ||||
\(787\) | 8620.66 | + | 2531.25i | 0.390462 | + | 0.114650i | 0.471070 | − | 0.882096i | \(-0.343868\pi\) |
−0.0806080 | + | 0.996746i | \(0.525686\pi\) | |||||||
\(788\) | 3660.22 | − | 8014.77i | 0.165470 | − | 0.362328i | ||||
\(789\) | 8747.80 | − | 10095.5i | 0.394715 | − | 0.455525i | ||||
\(790\) | 242.021 | − | 1683.29i | 0.0108996 | − | 0.0758086i | ||||
\(791\) | −12544.1 | + | 3683.28i | −0.563864 | + | 0.165565i | ||||
\(792\) | −2415.80 | − | 2787.98i | −0.108386 | − | 0.125084i | ||||
\(793\) | −11479.6 | + | 7377.48i | −0.514063 | + | 0.330368i | ||||
\(794\) | 8259.92 | − | 5308.33i | 0.369186 | − | 0.237261i | ||||
\(795\) | 823.308 | + | 950.148i | 0.0367292 | + | 0.0423878i | ||||
\(796\) | −1024.92 | + | 300.944i | −0.0456374 | + | 0.0134004i | ||||
\(797\) | 1243.87 | − | 8651.27i | 0.0552823 | − | 0.384497i | −0.943331 | − | 0.331853i | \(-0.892326\pi\) |
0.998613 | − | 0.0526435i | \(-0.0167647\pi\) | |||||||
\(798\) | −9547.72 | + | 11018.7i | −0.423541 | + | 0.488792i | ||||
\(799\) | −6566.58 | + | 14378.8i | −0.290750 | + | 0.636653i | ||||
\(800\) | 14318.0 | + | 4204.15i | 0.632773 | + | 0.185799i | ||||
\(801\) | 867.873 | + | 1900.38i | 0.0382831 | + | 0.0838284i | ||||
\(802\) | −4806.82 | − | 33432.2i | −0.211639 | − | 1.47198i | ||||
\(803\) | 41034.6 | + | 26371.3i | 1.80334 | + | 1.15893i | ||||
\(804\) | 13337.9 | 0.585063 | ||||||||
\(805\) | −1404.11 | − | 87.7902i | −0.0614764 | − | 0.00384372i | ||||
\(806\) | −16072.4 | −0.702390 | ||||||||
\(807\) | 11466.2 | + | 7368.90i | 0.500162 | + | 0.321434i | ||||
\(808\) | 1470.35 | + | 10226.5i | 0.0640184 | + | 0.445258i | ||||
\(809\) | −10163.7 | − | 22255.4i | −0.441702 | − | 0.967192i | −0.991283 | − | 0.131752i | \(-0.957940\pi\) |
0.549581 | − | 0.835441i | \(-0.314787\pi\) | |||||||
\(810\) | 1648.91 | + | 484.164i | 0.0715270 | + | 0.0210022i | ||||
\(811\) | −1776.70 | + | 3890.43i | −0.0769276 | + | 0.168448i | −0.944188 | − | 0.329406i | \(-0.893151\pi\) |
0.867261 | + | 0.497854i | \(0.165879\pi\) | |||||||
\(812\) | −1146.76 | + | 1323.43i | −0.0495608 | + | 0.0571962i | ||||
\(813\) | −5634.14 | + | 39186.3i | −0.243048 | + | 1.69044i | ||||
\(814\) | 32608.2 | − | 9574.64i | 1.40408 | − | 0.412274i | ||||
\(815\) | 1389.89 | + | 1604.02i | 0.0597372 | + | 0.0689404i | ||||
\(816\) | −5314.22 | + | 3415.24i | −0.227984 | + | 0.146516i | ||||
\(817\) | 24999.5 | − | 16066.2i | 1.07053 | − | 0.687986i | ||||
\(818\) | 3582.69 | + | 4134.64i | 0.153137 | + | 0.176729i | ||||
\(819\) | 1218.09 | − | 357.663i | 0.0519701 | − | 0.0152598i | ||||
\(820\) | −124.353 | + | 864.892i | −0.00529583 | + | 0.0368333i | ||||
\(821\) | −18728.4 | + | 21613.7i | −0.796134 | + | 0.918787i | −0.998163 | − | 0.0605923i | \(-0.980701\pi\) |
0.202029 | + | 0.979380i | \(0.435247\pi\) | |||||||
\(822\) | 7842.61 | − | 17172.9i | 0.332777 | − | 0.728679i | ||||
\(823\) | 120.118 | + | 35.2697i | 0.00508753 | + | 0.00149383i | 0.284275 | − | 0.958743i | \(-0.408247\pi\) |
−0.279188 | + | 0.960237i | \(0.590065\pi\) | |||||||
\(824\) | −3182.97 | − | 6969.72i | −0.134568 | − | 0.294662i | ||||
\(825\) | 5147.45 | + | 35801.3i | 0.217226 | + | 1.51084i | ||||
\(826\) | −3096.60 | − | 1990.06i | −0.130441 | − | 0.0838294i | ||||
\(827\) | 13120.7 | 0.551695 | 0.275847 | − | 0.961201i | \(-0.411042\pi\) | ||||
0.275847 | + | 0.961201i | \(0.411042\pi\) | |||||||
\(828\) | 69.7007 | + | 865.516i | 0.00292544 | + | 0.0363270i | ||||
\(829\) | −22359.8 | −0.936776 | −0.468388 | − | 0.883523i | \(-0.655165\pi\) | ||||
−0.468388 | + | 0.883523i | \(0.655165\pi\) | |||||||
\(830\) | 2454.92 | + | 1577.68i | 0.102664 | + | 0.0659784i | ||||
\(831\) | 3453.50 | + | 24019.6i | 0.144164 | + | 1.00269i | ||||
\(832\) | 7578.50 | + | 16594.6i | 0.315790 | + | 0.691484i | ||||
\(833\) | −5315.96 | − | 1560.91i | −0.221113 | − | 0.0649247i | ||||
\(834\) | −975.315 | + | 2135.64i | −0.0404945 | + | 0.0886705i | ||||
\(835\) | 796.700 | − | 919.441i | 0.0330191 | − | 0.0381061i | ||||
\(836\) | −1852.64 | + | 12885.4i | −0.0766448 | + | 0.533076i | ||||
\(837\) | 26628.0 | − | 7818.68i | 1.09964 | − | 0.322883i | ||||
\(838\) | −825.376 | − | 952.534i | −0.0340240 | − | 0.0392658i | ||||
\(839\) | 21200.0 | − | 13624.4i | 0.872354 | − | 0.560628i | −0.0261180 | − | 0.999659i | \(-0.508315\pi\) |
0.898472 | + | 0.439031i | \(0.144678\pi\) | |||||||
\(840\) | −1442.62 | + | 927.119i | −0.0592563 | + | 0.0380817i | ||||
\(841\) | 14567.1 | + | 16811.3i | 0.597282 | + | 0.689300i | ||||
\(842\) | 26572.6 | − | 7802.42i | 1.08759 | − | 0.319346i | ||||
\(843\) | 3529.58 | − | 24548.8i | 0.144205 | − | 1.00297i | ||||
\(844\) | 8056.52 | − | 9297.72i | 0.328574 | − | 0.379195i | ||||
\(845\) | −420.771 | + | 921.359i | −0.0171301 | + | 0.0375097i | ||||
\(846\) | −2824.01 | − | 829.203i | −0.114765 | − | 0.0336981i | ||||
\(847\) | −8504.31 | − | 18621.8i | −0.344996 | − | 0.755436i | ||||
\(848\) | 1166.78 | + | 8115.11i | 0.0472491 | + | 0.328625i | ||||
\(849\) | −12380.7 | − | 7956.59i | −0.500476 | − | 0.321636i | ||||
\(850\) | 9715.56 | 0.392048 | ||||||||
\(851\) | −28963.2 | − | 10508.2i | −1.16668 | − | 0.423284i | ||||
\(852\) | 4399.63 | 0.176912 | ||||||||
\(853\) | −24856.7 | − | 15974.4i | −0.997744 | − | 0.641211i | −0.0635508 | − | 0.997979i | \(-0.520242\pi\) |
−0.934193 | + | 0.356767i | \(0.883879\pi\) | |||||||
\(854\) | −1777.60 | − | 12363.5i | −0.0712275 | − | 0.495398i | ||||
\(855\) | 95.8745 | + | 209.936i | 0.00383490 | + | 0.00839726i | ||||
\(856\) | 16670.6 | + | 4894.94i | 0.665644 | + | 0.195451i | ||||
\(857\) | −4817.67 | + | 10549.2i | −0.192028 | + | 0.420483i | −0.981016 | − | 0.193925i | \(-0.937878\pi\) |
0.788988 | + | 0.614409i | \(0.210605\pi\) | |||||||
\(858\) | −14599.8 | + | 16849.1i | −0.580920 | + | 0.670417i | ||||
\(859\) | −964.022 | + | 6704.92i | −0.0382910 | + | 0.266320i | −0.999969 | − | 0.00786110i | \(-0.997498\pi\) |
0.961678 | + | 0.274181i | \(0.0884068\pi\) | |||||||
\(860\) | 870.712 | − | 255.664i | 0.0345244 | − | 0.0101373i | ||||
\(861\) | 15863.8 | + | 18307.8i | 0.627917 | + | 0.724655i | ||||
\(862\) | 28363.1 | − | 18227.9i | 1.12071 | − | 0.720236i | ||||
\(863\) | 9288.01 | − | 5969.04i | 0.366359 | − | 0.235444i | −0.344489 | − | 0.938790i | \(-0.611948\pi\) |
0.710848 | + | 0.703346i | \(0.248311\pi\) | |||||||
\(864\) | −10400.7 | − | 12003.0i | −0.409534 | − | 0.472628i | ||||
\(865\) | −184.488 | + | 54.1706i | −0.00725177 | + | 0.00212931i | ||||
\(866\) | 2242.86 | − | 15599.4i | 0.0880087 | − | 0.612114i | ||||
\(867\) | −13347.0 | + | 15403.2i | −0.522822 | + | 0.603369i | ||||
\(868\) | −3300.57 | + | 7227.25i | −0.129065 | + | 0.282614i | ||||
\(869\) | −40391.4 | − | 11860.0i | −1.57674 | − | 0.462971i | ||||
\(870\) | −226.488 | − | 495.940i | −0.00882605 | − | 0.0193264i | ||||
\(871\) | −4159.67 | − | 28931.1i | −0.161820 | − | 1.12548i | ||||
\(872\) | −14251.0 | − | 9158.56i | −0.553440 | − | 0.355674i | ||||
\(873\) | −1401.97 | −0.0543521 | ||||||||
\(874\) | −15313.5 | + | 15590.3i | −0.592662 | + | 0.603376i | ||||
\(875\) | 3177.16 | 0.122752 | ||||||||
\(876\) | −11773.2 | − | 7566.17i | −0.454086 | − | 0.291823i | ||||
\(877\) | −5734.48 | − | 39884.2i | −0.220798 | − | 1.53568i | −0.735032 | − | 0.678032i | \(-0.762833\pi\) |
0.514234 | − | 0.857650i | \(-0.328076\pi\) | |||||||
\(878\) | 672.084 | + | 1471.66i | 0.0258334 | + | 0.0565673i | ||||
\(879\) | −12530.4 | − | 3679.26i | −0.480819 | − | 0.141181i | ||||
\(880\) | 706.842 | − | 1547.77i | 0.0270769 | − | 0.0592901i | ||||
\(881\) | −17694.5 | + | 20420.6i | −0.676668 | + | 0.780916i | −0.985404 | − | 0.170231i | \(-0.945548\pi\) |
0.308736 | + | 0.951148i | \(0.400094\pi\) | |||||||
\(882\) | 146.810 | − | 1021.09i | 0.00560472 | − | 0.0389817i | ||||
\(883\) | −34027.9 | + | 9991.49i | −1.29686 | + | 0.380793i | −0.856091 | − | 0.516826i | \(-0.827114\pi\) |
−0.440772 | + | 0.897619i | \(0.645295\pi\) | |||||||
\(884\) | −2117.94 | − | 2444.23i | −0.0805815 | − | 0.0929960i | ||||
\(885\) | −520.673 | + | 334.616i | −0.0197765 | + | 0.0127096i | ||||
\(886\) | −23175.7 | + | 14894.1i | −0.878786 | + | 0.564761i | ||||
\(887\) | 7024.13 | + | 8106.28i | 0.265893 | + | 0.306857i | 0.872958 | − | 0.487795i | \(-0.162199\pi\) |
−0.607065 | + | 0.794652i | \(0.707653\pi\) | |||||||
\(888\) | −36034.5 | + | 10580.7i | −1.36175 | + | 0.399847i | ||||
\(889\) | −2728.06 | + | 18974.1i | −0.102920 | + | 0.715826i | ||||
\(890\) | −1051.45 | + | 1213.43i | −0.0396006 | + | 0.0457016i | ||||
\(891\) | 17671.8 | − | 38696.0i | 0.664455 | − | 1.45495i | ||||
\(892\) | 10362.5 | + | 3042.71i | 0.388972 | + | 0.114213i | ||||
\(893\) | 16618.1 | + | 36388.7i | 0.622738 | + | 1.36361i | ||||
\(894\) | 990.829 | + | 6891.37i | 0.0370674 | + | 0.257810i | ||||
\(895\) | 354.913 | + | 228.089i | 0.0132552 | + | 0.00851862i | ||||
\(896\) | −3732.44 | −0.139165 | ||||||||
\(897\) | 19710.9 | − | 4473.13i | 0.733700 | − | 0.166503i | ||||
\(898\) | −3151.30 | −0.117105 | ||||||||
\(899\) | −8184.98 | − | 5260.16i | −0.303653 | − | 0.195146i | ||||
\(900\) | −139.035 | − | 967.013i | −0.00514946 | − | 0.0358153i | ||||
\(901\) | −3472.69 | − | 7604.12i | −0.128404 | − | 0.281165i | ||||
\(902\) | −38428.2 | − | 11283.5i | −1.41853 | − | 0.416519i | ||||
\(903\) | 10451.2 | − | 22885.0i | 0.385156 | − | 0.843374i | ||||
\(904\) | −15641.8 | + | 18051.6i | −0.575485 | + | 0.664145i | ||||
\(905\) | 477.036 | − | 3317.85i | 0.0175218 | − | 0.121867i | ||||
\(906\) | 35463.3 | − | 10413.0i | 1.30043 | − | 0.381840i | ||||
\(907\) | −3902.51 | − | 4503.73i | −0.142867 | − | 0.164878i | 0.679806 | − | 0.733392i | \(-0.262064\pi\) |
−0.822673 | + | 0.568514i | \(0.807518\pi\) | |||||||
\(908\) | −1714.93 | + | 1102.12i | −0.0626783 | + | 0.0402809i | ||||
\(909\) | 990.318 | − | 636.439i | 0.0361351 | − | 0.0232226i | ||||
\(910\) | 638.926 | + | 737.360i | 0.0232749 | + | 0.0268607i | ||||
\(911\) | −998.474 | + | 293.179i | −0.0363128 | + | 0.0106624i | −0.299838 | − | 0.953990i | \(-0.596933\pi\) |
0.263526 | + | 0.964652i | \(0.415115\pi\) | |||||||
\(912\) | −2275.13 | + | 15823.9i | −0.0826064 | + | 0.574540i | ||||
\(913\) | 47304.6 | − | 54592.4i | 1.71474 | − | 1.97891i | ||||
\(914\) | 3833.55 | − | 8394.30i | 0.138734 | − | 0.303784i | ||||
\(915\) | −2015.15 | − | 591.700i | −0.0728073 | − | 0.0213782i | ||||
\(916\) | −6982.17 | − | 15288.8i | −0.251853 | − | 0.551481i | ||||
\(917\) | −3848.94 | − | 26769.9i | −0.138608 | − | 0.964036i | ||||
\(918\) | −8698.93 | − | 5590.46i | −0.312753 | − | 0.200994i | ||||
\(919\) | 44662.5 | 1.60313 | 0.801567 | − | 0.597904i | \(-0.204000\pi\) | ||||
0.801567 | + | 0.597904i | \(0.204000\pi\) | |||||||
\(920\) | −2244.81 | + | 1251.99i | −0.0804446 | + | 0.0448661i | ||||
\(921\) | 26650.4 | 0.953485 | ||||||||
\(922\) | 20892.6 | + | 13426.8i | 0.746269 | + | 0.479598i | ||||
\(923\) | −1372.11 | − | 9543.22i | −0.0489312 | − | 0.340324i | ||||
\(924\) | 4578.32 | + | 10025.1i | 0.163004 | + | 0.356929i | ||||
\(925\) | 33261.1 | + | 9766.35i | 1.18229 | + | 0.347152i | ||||
\(926\) | −4652.34 | + | 10187.2i | −0.165103 | + | 0.361525i | ||||
\(927\) | −571.709 | + | 659.788i | −0.0202561 | + | 0.0233768i | ||||
\(928\) | −792.422 | + | 5511.41i | −0.0280307 | + | 0.194958i | ||||
\(929\) | −5521.97 | + | 1621.40i | −0.195016 | + | 0.0572619i | −0.377782 | − | 0.925895i | \(-0.623313\pi\) |
0.182766 | + | 0.983156i | \(0.441495\pi\) | |||||||
\(930\) | −1619.93 | − | 1869.50i | −0.0571178 | − | 0.0659174i | ||||
\(931\) | −11795.3 | + | 7580.40i | −0.415227 | + | 0.266850i | ||||
\(932\) | −9137.28 | + | 5872.17i | −0.321139 | + | 0.206383i | ||||
\(933\) | −7638.43 | − | 8815.22i | −0.268029 | − | 0.309322i | ||||
\(934\) | −28069.0 | + | 8241.81i | −0.983348 | + | 0.288737i | ||||
\(935\) | −246.909 | + | 1717.29i | −0.00863613 | + | 0.0600656i | ||||
\(936\) | 1518.89 | − | 1752.90i | 0.0530412 | − | 0.0612128i | ||||
\(937\) | −15620.0 | + | 34202.9i | −0.544591 | + | 1.19249i | 0.414671 | + | 0.909971i | \(0.363897\pi\) |
−0.959262 | + | 0.282517i | \(0.908831\pi\) | |||||||
\(938\) | 25670.5 | + | 7537.55i | 0.893575 | + | 0.262377i | ||||
\(939\) | −9602.00 | − | 21025.4i | −0.333705 | − | 0.730713i | ||||
\(940\) | 173.852 | + | 1209.17i | 0.00603236 | + | 0.0419560i | ||||
\(941\) | 34270.5 | + | 22024.3i | 1.18723 | + | 0.762988i | 0.976702 | − | 0.214599i | \(-0.0688445\pi\) |
0.210530 | + | 0.977587i | \(0.432481\pi\) | |||||||
\(942\) | 11533.2 | 0.398907 | ||||||||
\(943\) | 22019.0 | + | 28871.3i | 0.760380 | + | 0.997007i | ||||
\(944\) | −4036.11 | −0.139157 | ||||||||
\(945\) | −1417.24 | − | 910.805i | −0.0487861 | − | 0.0313529i | ||||
\(946\) | 5919.51 | + | 41171.1i | 0.203446 | + | 1.41500i | ||||
\(947\) | −1361.96 | − | 2982.27i | −0.0467345 | − | 0.102334i | 0.884825 | − | 0.465924i | \(-0.154278\pi\) |
−0.931559 | + | 0.363590i | \(0.881551\pi\) | |||||||
\(948\) | 11588.6 | + | 3402.73i | 0.397027 | + | 0.116578i | ||||
\(949\) | −12740.0 | + | 27896.8i | −0.435784 | + | 0.954235i | ||||
\(950\) | 16101.3 | − | 18581.8i | 0.549888 | − | 0.634605i | ||||
\(951\) | 5580.59 | − | 38813.8i | 0.190287 | − | 1.32348i | ||||
\(952\) | 10940.5 | − | 3212.43i | 0.372463 | − | 0.109365i | ||||
\(953\) | −7911.64 | − | 9130.52i | −0.268922 | − | 0.310353i | 0.605186 | − | 0.796084i | \(-0.293099\pi\) |
−0.874108 | + | 0.485731i | \(0.838553\pi\) | |||||||
\(954\) | 1309.41 | − | 841.509i | 0.0444380 | − | 0.0285585i | ||||
\(955\) | 1568.06 | − | 1007.73i | 0.0531321 | − | 0.0341459i | ||||
\(956\) | 5425.05 | + | 6260.84i | 0.183534 | + | 0.211810i | ||||
\(957\) | −12949.4 | + | 3802.28i | −0.437403 | + | 0.128433i | ||||
\(958\) | −3465.32 | + | 24101.8i | −0.116868 | + | 0.812833i | ||||
\(959\) | −13392.9 | + | 15456.3i | −0.450970 | + | 0.520447i | ||||
\(960\) | −1166.40 | + | 2554.07i | −0.0392141 | + | 0.0858669i | ||||
\(961\) | −13771.8 | − | 4043.78i | −0.462282 | − | 0.135738i | ||||
\(962\) | 8876.33 | + | 19436.5i | 0.297489 | + | 0.651410i | ||||
\(963\) | −281.733 | − | 1959.49i | −0.00942753 | − | 0.0655699i | ||||
\(964\) | −13681.0 | − | 8792.21i | −0.457089 | − | 0.293753i | ||||
\(965\) | −865.358 | −0.0288672 | ||||||||
\(966\) | −3770.59 | + | 18112.7i | −0.125587 | + | 0.603280i | ||||
\(967\) | 25588.6 | 0.850957 | 0.425478 | − | 0.904969i | \(-0.360106\pi\) | ||||
0.425478 | + | 0.904969i | \(0.360106\pi\) | |||||||
\(968\) | −31464.8 | − | 20221.2i | −1.04475 | − | 0.671419i | ||||
\(969\) | −2319.81 | − | 16134.6i | −0.0769070 | − | 0.534900i | ||||
\(970\) | −447.594 | − | 980.094i | −0.0148158 | − | 0.0324422i | ||||
\(971\) | −57192.3 | − | 16793.2i | −1.89020 | − | 0.555014i | −0.993714 | − | 0.111950i | \(-0.964290\pi\) |
−0.896490 | − | 0.443064i | \(-0.853892\pi\) | |||||||
\(972\) | −913.988 | + | 2001.35i | −0.0301607 | + | 0.0660426i | ||||
\(973\) | 1665.56 | − | 1922.16i | 0.0548770 | − | 0.0633314i | ||||
\(974\) | 734.251 | − | 5106.83i | 0.0241550 | − | 0.168001i | ||||
\(975\) | −21819.8 | + | 6406.86i | −0.716709 | + | 0.210445i | ||||
\(976\) | −8968.87 | − | 10350.6i | −0.294146 | − | 0.339463i | ||||
\(977\) | −18845.1 | + | 12111.0i | −0.617101 | + | 0.396587i | −0.811514 | − | 0.584333i | \(-0.801356\pi\) |
0.194413 | + | 0.980920i | \(0.437720\pi\) | |||||||
\(978\) | 23480.4 | − | 15090.0i | 0.767712 | − | 0.493378i | ||||
\(979\) | 26027.4 | + | 30037.3i | 0.849684 | + | 0.980588i | ||||
\(980\) | −410.822 | + | 120.628i | −0.0133911 | + | 0.00393197i | ||||
\(981\) | −274.691 | + | 1910.52i | −0.00894008 | + | 0.0621796i | ||||
\(982\) | −1017.37 | + | 1174.11i | −0.0330608 | + | 0.0381542i | ||||
\(983\) | −10980.0 | + | 24042.8i | −0.356264 | + | 0.780109i | 0.643627 | + | 0.765339i | \(0.277429\pi\) |
−0.999891 | + | 0.0147698i | \(0.995298\pi\) | |||||||
\(984\) | 42465.9 | + | 12469.1i | 1.37578 | + | 0.403965i | ||||
\(985\) | −1234.51 | − | 2703.20i | −0.0399338 | − | 0.0874428i | ||||
\(986\) | 515.921 | + | 3588.31i | 0.0166636 | + | 0.115898i | ||||
\(987\) | 28491.1 | + | 18310.1i | 0.918827 | + | 0.590494i | ||||
\(988\) | −8184.80 | −0.263556 | ||||||||
\(989\) | 17775.0 | − | 33257.3i | 0.571498 | − | 1.06928i | ||||
\(990\) | −323.037 | −0.0103705 | ||||||||
\(991\) | 17941.0 | + | 11530.0i | 0.575092 | + | 0.369589i | 0.795624 | − | 0.605791i | \(-0.207143\pi\) |
−0.220532 | + | 0.975380i | \(0.570779\pi\) | |||||||
\(992\) | 3595.34 | + | 25006.1i | 0.115073 | + | 0.800348i | ||||
\(993\) | −18030.4 | − | 39481.1i | −0.576211 | − | 1.26173i | ||||
\(994\) | 8467.68 | + | 2486.34i | 0.270200 | + | 0.0793378i | ||||
\(995\) | −149.664 | + | 327.719i | −0.00476852 | + | 0.0104416i | ||||
\(996\) | −13572.1 | + | 15663.1i | −0.431776 | + | 0.498296i | ||||
\(997\) | −878.109 | + | 6107.38i | −0.0278937 | + | 0.194005i | −0.999004 | − | 0.0446274i | \(-0.985790\pi\) |
0.971110 | + | 0.238632i | \(0.0766990\pi\) | |||||||
\(998\) | −34127.5 | + | 10020.7i | −1.08245 | + | 0.317837i | ||||
\(999\) | −24161.0 | − | 27883.3i | −0.765186 | − | 0.883072i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 23.4.c.a.2.4 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.163.2 | 50 | |||
23.9 | even | 11 | 529.4.a.n.1.17 | 25 | |||
23.12 | even | 11 | inner | 23.4.c.a.12.4 | yes | 50 | |
23.14 | odd | 22 | 529.4.a.m.1.17 | 25 | |||
69.35 | odd | 22 | 207.4.i.a.127.2 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.2.4 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.12.4 | yes | 50 | 23.12 | even | 11 | inner | |
207.4.i.a.127.2 | 50 | 69.35 | odd | 22 | |||
207.4.i.a.163.2 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.17 | 25 | 23.14 | odd | 22 | |||
529.4.a.n.1.17 | 25 | 23.9 | even | 11 |