Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 35.3 | ||
Root | \(-3.71222 + 6.42975i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.35 |
Dual form | 38.4.e.b.25.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53209 | − | 1.28558i | −0.541675 | − | 0.454519i | ||||
\(3\) | 9.35607 | − | 3.40533i | 1.80058 | − | 0.655357i | 0.802285 | − | 0.596941i | \(-0.203617\pi\) |
0.998292 | − | 0.0584153i | \(-0.0186048\pi\) | |||||||
\(4\) | 0.694593 | + | 3.93923i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.989599 | + | 5.61230i | −0.0885124 | + | 0.501979i | 0.908031 | + | 0.418903i | \(0.137585\pi\) |
−0.996543 | + | 0.0830756i | \(0.973526\pi\) | |||||||
\(6\) | −18.7121 | − | 6.81067i | −1.27320 | − | 0.463407i | ||||
\(7\) | −3.91986 | − | 6.78940i | −0.211653 | − | 0.366593i | 0.740579 | − | 0.671969i | \(-0.234551\pi\) |
−0.952232 | + | 0.305376i | \(0.901218\pi\) | |||||||
\(8\) | 4.00000 | − | 6.92820i | 0.176777 | − | 0.306186i | ||||
\(9\) | 55.2566 | − | 46.3658i | 2.04654 | − | 1.71725i | ||||
\(10\) | 8.73118 | − | 7.32633i | 0.276104 | − | 0.231679i | ||||
\(11\) | −17.7720 | + | 30.7821i | −0.487133 | + | 0.843740i | −0.999891 | − | 0.0147938i | \(-0.995291\pi\) |
0.512757 | + | 0.858534i | \(0.328624\pi\) | |||||||
\(12\) | 19.9131 | + | 34.4904i | 0.479034 | + | 0.829711i | ||||
\(13\) | −58.7189 | − | 21.3719i | −1.25275 | − | 0.455962i | −0.371417 | − | 0.928466i | \(-0.621128\pi\) |
−0.881329 | + | 0.472504i | \(0.843350\pi\) | |||||||
\(14\) | −2.72271 | + | 15.4413i | −0.0519768 | + | 0.294775i | ||||
\(15\) | 9.85297 | + | 55.8790i | 0.169602 | + | 0.961859i | ||||
\(16\) | −15.0351 | + | 5.47232i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 47.7967 | + | 40.1062i | 0.681907 | + | 0.572188i | 0.916563 | − | 0.399891i | \(-0.130952\pi\) |
−0.234656 | + | 0.972078i | \(0.575396\pi\) | |||||||
\(18\) | −144.265 | −1.88909 | ||||||||
\(19\) | −51.9332 | + | 64.5131i | −0.627068 | + | 0.778964i | ||||
\(20\) | −22.7955 | −0.254861 | ||||||||
\(21\) | −59.7947 | − | 50.1737i | −0.621347 | − | 0.521372i | ||||
\(22\) | 66.8010 | − | 24.3136i | 0.647364 | − | 0.235621i | ||||
\(23\) | 19.2019 | + | 108.900i | 0.174082 | + | 0.987266i | 0.939199 | + | 0.343375i | \(0.111570\pi\) |
−0.765117 | + | 0.643891i | \(0.777319\pi\) | |||||||
\(24\) | 13.8315 | − | 78.4421i | 0.117639 | − | 0.667164i | ||||
\(25\) | 86.9430 | + | 31.6447i | 0.695544 | + | 0.253157i | ||||
\(26\) | 62.4873 | + | 108.231i | 0.471338 | + | 0.816381i | ||||
\(27\) | 224.681 | − | 389.159i | 1.60148 | − | 2.77384i | ||||
\(28\) | 24.0223 | − | 20.1571i | 0.162135 | − | 0.136048i | ||||
\(29\) | −84.0517 | + | 70.5278i | −0.538207 | + | 0.451610i | −0.870924 | − | 0.491417i | \(-0.836479\pi\) |
0.332717 | + | 0.943027i | \(0.392035\pi\) | |||||||
\(30\) | 56.7410 | − | 98.2783i | 0.345315 | − | 0.598103i | ||||
\(31\) | −166.666 | − | 288.675i | −0.965619 | − | 1.67250i | −0.707943 | − | 0.706269i | \(-0.750377\pi\) |
−0.257675 | − | 0.966232i | \(-0.582957\pi\) | |||||||
\(32\) | 30.0702 | + | 10.9446i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −61.4533 | + | 348.519i | −0.324171 | + | 1.83847i | ||||
\(34\) | −21.6693 | − | 122.893i | −0.109302 | − | 0.619880i | ||||
\(35\) | 41.9832 | − | 15.2806i | 0.202756 | − | 0.0737972i | ||||
\(36\) | 221.027 | + | 185.463i | 1.02327 | + | 0.858626i | ||||
\(37\) | 36.0219 | 0.160053 | 0.0800266 | − | 0.996793i | \(-0.474499\pi\) | ||||
0.0800266 | + | 0.996793i | \(0.474499\pi\) | |||||||
\(38\) | 162.503 | − | 32.0758i | 0.693722 | − | 0.136931i | ||||
\(39\) | −622.157 | −2.55448 | ||||||||
\(40\) | 34.9247 | + | 29.3053i | 0.138052 | + | 0.115839i | ||||
\(41\) | −11.1312 | + | 4.05141i | −0.0423999 | + | 0.0154323i | −0.363133 | − | 0.931737i | \(-0.618293\pi\) |
0.320733 | + | 0.947170i | \(0.396071\pi\) | |||||||
\(42\) | 27.1087 | + | 153.741i | 0.0995945 | + | 0.564828i | ||||
\(43\) | 13.6551 | − | 77.4420i | 0.0484275 | − | 0.274646i | −0.950973 | − | 0.309275i | \(-0.899914\pi\) |
0.999400 | + | 0.0346286i | \(0.0110248\pi\) | |||||||
\(44\) | −133.602 | − | 48.6271i | −0.457756 | − | 0.166609i | ||||
\(45\) | 205.537 | + | 356.000i | 0.680880 | + | 1.17932i | ||||
\(46\) | 110.579 | − | 191.529i | 0.354436 | − | 0.613901i | ||||
\(47\) | 179.894 | − | 150.949i | 0.558304 | − | 0.468473i | −0.319437 | − | 0.947607i | \(-0.603494\pi\) |
0.877741 | + | 0.479135i | \(0.159049\pi\) | |||||||
\(48\) | −122.034 | + | 102.399i | −0.366961 | + | 0.307917i | ||||
\(49\) | 140.769 | − | 243.820i | 0.410406 | − | 0.710844i | ||||
\(50\) | −92.5228 | − | 160.254i | −0.261694 | − | 0.453267i | ||||
\(51\) | 583.765 | + | 212.473i | 1.60281 | + | 0.583376i | ||||
\(52\) | 43.4033 | − | 246.152i | 0.115749 | − | 0.656445i | ||||
\(53\) | 13.5517 | + | 76.8557i | 0.0351222 | + | 0.199188i | 0.997320 | − | 0.0731641i | \(-0.0233097\pi\) |
−0.962198 | + | 0.272352i | \(0.912199\pi\) | |||||||
\(54\) | −844.524 | + | 307.382i | −2.12824 | + | 0.774618i | ||||
\(55\) | −155.171 | − | 130.204i | −0.380422 | − | 0.319212i | ||||
\(56\) | −62.7178 | −0.149661 | ||||||||
\(57\) | −266.202 | + | 780.439i | −0.618585 | + | 1.81354i | ||||
\(58\) | 219.443 | 0.496799 | ||||||||
\(59\) | −374.801 | − | 314.496i | −0.827034 | − | 0.693964i | 0.127574 | − | 0.991829i | \(-0.459281\pi\) |
−0.954608 | + | 0.297865i | \(0.903725\pi\) | |||||||
\(60\) | −213.276 | + | 77.6263i | −0.458898 | + | 0.167025i | ||||
\(61\) | −24.0876 | − | 136.607i | −0.0505590 | − | 0.286734i | 0.949037 | − | 0.315165i | \(-0.102060\pi\) |
−0.999596 | + | 0.0284312i | \(0.990949\pi\) | |||||||
\(62\) | −115.765 | + | 656.538i | −0.237132 | + | 1.34484i | ||||
\(63\) | −531.395 | − | 193.412i | −1.06269 | − | 0.386787i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 178.054 | − | 308.398i | 0.339767 | − | 0.588494i | ||||
\(66\) | 542.199 | − | 454.959i | 1.01121 | − | 0.848509i | ||||
\(67\) | 378.424 | − | 317.535i | 0.690028 | − | 0.579002i | −0.228890 | − | 0.973452i | \(-0.573509\pi\) |
0.918917 | + | 0.394450i | \(0.129065\pi\) | |||||||
\(68\) | −124.788 | + | 216.140i | −0.222541 | + | 0.385453i | ||||
\(69\) | 550.494 | + | 953.483i | 0.960459 | + | 1.66356i | ||||
\(70\) | −83.9665 | − | 30.5613i | −0.143370 | − | 0.0521825i | ||||
\(71\) | −17.6696 | + | 100.210i | −0.0295352 | + | 0.167503i | −0.996008 | − | 0.0892678i | \(-0.971547\pi\) |
0.966472 | + | 0.256770i | \(0.0826584\pi\) | |||||||
\(72\) | −100.205 | − | 568.292i | −0.164018 | − | 0.930193i | ||||
\(73\) | −533.078 | + | 194.025i | −0.854686 | + | 0.311080i | −0.731949 | − | 0.681359i | \(-0.761389\pi\) |
−0.122737 | + | 0.992439i | \(0.539167\pi\) | |||||||
\(74\) | −55.1888 | − | 46.3089i | −0.0866969 | − | 0.0727473i | ||||
\(75\) | 921.206 | 1.41829 | ||||||||
\(76\) | −290.204 | − | 159.767i | −0.438010 | − | 0.241138i | ||||
\(77\) | 278.656 | 0.412413 | ||||||||
\(78\) | 953.200 | + | 799.830i | 1.38370 | + | 1.16106i | ||||
\(79\) | 351.428 | − | 127.909i | 0.500491 | − | 0.182164i | −0.0794240 | − | 0.996841i | \(-0.525308\pi\) |
0.579915 | + | 0.814677i | \(0.303086\pi\) | |||||||
\(80\) | −15.8336 | − | 89.7967i | −0.0221281 | − | 0.125495i | ||||
\(81\) | 438.724 | − | 2488.13i | 0.601816 | − | 3.41307i | ||||
\(82\) | 22.2623 | + | 8.10283i | 0.0299813 | + | 0.0109123i | ||||
\(83\) | −57.8821 | − | 100.255i | −0.0765468 | − | 0.132583i | 0.825211 | − | 0.564824i | \(-0.191056\pi\) |
−0.901758 | + | 0.432242i | \(0.857723\pi\) | |||||||
\(84\) | 156.113 | − | 270.396i | 0.202778 | − | 0.351221i | ||||
\(85\) | −272.388 | + | 228.560i | −0.347583 | + | 0.291657i | ||||
\(86\) | −120.478 | + | 101.093i | −0.151064 | + | 0.126758i | ||||
\(87\) | −546.224 | + | 946.087i | −0.673119 | + | 1.16588i | ||||
\(88\) | 142.176 | + | 246.256i | 0.172228 | + | 0.298307i | ||||
\(89\) | 653.538 | + | 237.868i | 0.778370 | + | 0.283303i | 0.700493 | − | 0.713660i | \(-0.252964\pi\) |
0.0778770 | + | 0.996963i | \(0.475186\pi\) | |||||||
\(90\) | 142.764 | − | 809.657i | 0.167208 | − | 0.948281i | ||||
\(91\) | 85.0674 | + | 482.441i | 0.0979944 | + | 0.555754i | ||||
\(92\) | −415.643 | + | 151.282i | −0.471019 | + | 0.171437i | ||||
\(93\) | −2542.38 | − | 2133.31i | −2.83476 | − | 2.37864i | ||||
\(94\) | −469.671 | −0.515349 | ||||||||
\(95\) | −310.674 | − | 355.307i | −0.335520 | − | 0.383723i | ||||
\(96\) | 318.609 | 0.338728 | ||||||||
\(97\) | 740.669 | + | 621.495i | 0.775295 | + | 0.650549i | 0.942059 | − | 0.335447i | \(-0.108887\pi\) |
−0.166764 | + | 0.985997i | \(0.553332\pi\) | |||||||
\(98\) | −529.120 | + | 192.584i | −0.545400 | + | 0.198509i | ||||
\(99\) | 445.213 | + | 2524.93i | 0.451976 | + | 2.56328i | ||||
\(100\) | −64.2657 | + | 364.469i | −0.0642657 | + | 0.364469i | ||||
\(101\) | 1341.49 | + | 488.263i | 1.32162 | + | 0.481030i | 0.903976 | − | 0.427582i | \(-0.140635\pi\) |
0.417642 | + | 0.908612i | \(0.362857\pi\) | |||||||
\(102\) | −621.230 | − | 1076.00i | −0.603048 | − | 1.04451i | ||||
\(103\) | −694.153 | + | 1202.31i | −0.664048 | + | 1.15016i | 0.315495 | + | 0.948927i | \(0.397829\pi\) |
−0.979543 | + | 0.201237i | \(0.935504\pi\) | |||||||
\(104\) | −382.945 | + | 321.329i | −0.361066 | + | 0.302970i | ||||
\(105\) | 340.763 | − | 285.934i | 0.316715 | − | 0.265755i | ||||
\(106\) | 78.0414 | − | 135.172i | 0.0715099 | − | 0.123859i | ||||
\(107\) | −704.658 | − | 1220.50i | −0.636652 | − | 1.10271i | −0.986162 | − | 0.165782i | \(-0.946985\pi\) |
0.349510 | − | 0.936933i | \(-0.386348\pi\) | |||||||
\(108\) | 1689.05 | + | 614.764i | 1.50490 | + | 0.547737i | ||||
\(109\) | 101.907 | − | 577.946i | 0.0895502 | − | 0.507864i | −0.906732 | − | 0.421708i | \(-0.861431\pi\) |
0.996282 | − | 0.0861558i | \(-0.0274583\pi\) | |||||||
\(110\) | 70.3487 | + | 398.968i | 0.0609772 | + | 0.345819i | ||||
\(111\) | 337.024 | − | 122.667i | 0.288188 | − | 0.104892i | ||||
\(112\) | 96.0893 | + | 80.6285i | 0.0810677 | + | 0.0680239i | ||||
\(113\) | 476.597 | 0.396765 | 0.198383 | − | 0.980125i | \(-0.436431\pi\) | ||||
0.198383 | + | 0.980125i | \(0.436431\pi\) | |||||||
\(114\) | 1411.16 | − | 853.479i | 1.15936 | − | 0.701190i | ||||
\(115\) | −630.179 | −0.510995 | ||||||||
\(116\) | −336.207 | − | 282.111i | −0.269104 | − | 0.225805i | ||||
\(117\) | −4235.54 | + | 1541.61i | −3.34680 | + | 1.21814i | ||||
\(118\) | 169.921 | + | 963.671i | 0.132564 | + | 0.751806i | ||||
\(119\) | 84.9406 | − | 481.722i | 0.0654327 | − | 0.371088i | ||||
\(120\) | 426.553 | + | 155.253i | 0.324490 | + | 0.118105i | ||||
\(121\) | 33.8100 | + | 58.5606i | 0.0254019 | + | 0.0439975i | ||||
\(122\) | −138.715 | + | 240.261i | −0.102940 | + | 0.178297i | ||||
\(123\) | −90.3476 | + | 75.8106i | −0.0662306 | + | 0.0555741i | ||||
\(124\) | 1021.39 | − | 857.049i | 0.739707 | − | 0.620688i | ||||
\(125\) | −619.818 | + | 1073.56i | −0.443505 | + | 0.768174i | ||||
\(126\) | 565.499 | + | 979.472i | 0.399830 | + | 0.692526i | ||||
\(127\) | 482.598 | + | 175.651i | 0.337194 | + | 0.122729i | 0.505067 | − | 0.863080i | \(-0.331468\pi\) |
−0.167873 | + | 0.985809i | \(0.553690\pi\) | |||||||
\(128\) | −22.2270 | + | 126.055i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −135.957 | − | 771.053i | −0.0927937 | − | 0.526259i | ||||
\(130\) | −669.263 | + | 243.592i | −0.451525 | + | 0.164342i | ||||
\(131\) | −592.343 | − | 497.035i | −0.395063 | − | 0.331497i | 0.423519 | − | 0.905887i | \(-0.360795\pi\) |
−0.818582 | + | 0.574390i | \(0.805239\pi\) | |||||||
\(132\) | −1415.58 | −0.933413 | ||||||||
\(133\) | 641.577 | + | 99.7129i | 0.418284 | + | 0.0650091i | ||||
\(134\) | −987.995 | −0.636939 | ||||||||
\(135\) | 1961.73 | + | 1646.09i | 1.25066 | + | 1.04943i | ||||
\(136\) | 469.051 | − | 170.721i | 0.295741 | − | 0.107641i | ||||
\(137\) | −77.8584 | − | 441.557i | −0.0485540 | − | 0.275363i | 0.950859 | − | 0.309624i | \(-0.100203\pi\) |
−0.999413 | + | 0.0342612i | \(0.989092\pi\) | |||||||
\(138\) | 382.369 | − | 2168.52i | 0.235865 | − | 1.33766i | ||||
\(139\) | −1582.62 | − | 576.025i | −0.965725 | − | 0.351495i | −0.189451 | − | 0.981890i | \(-0.560671\pi\) |
−0.776275 | + | 0.630395i | \(0.782893\pi\) | |||||||
\(140\) | 89.3553 | + | 154.768i | 0.0539421 | + | 0.0934305i | ||||
\(141\) | 1169.07 | − | 2024.89i | 0.698253 | − | 1.20941i | ||||
\(142\) | 155.898 | − | 130.814i | 0.0921317 | − | 0.0773077i | ||||
\(143\) | 1701.43 | − | 1427.67i | 0.994968 | − | 0.834877i | ||||
\(144\) | −577.059 | + | 999.496i | −0.333946 | + | 0.578412i | ||||
\(145\) | −312.645 | − | 541.517i | −0.179060 | − | 0.310142i | ||||
\(146\) | 1066.16 | + | 388.049i | 0.604354 | + | 0.219967i | ||||
\(147\) | 486.761 | − | 2760.56i | 0.273112 | − | 1.54889i | ||||
\(148\) | 25.0206 | + | 141.899i | 0.0138965 | + | 0.0788108i | ||||
\(149\) | 691.353 | − | 251.632i | 0.380120 | − | 0.138352i | −0.144892 | − | 0.989448i | \(-0.546283\pi\) |
0.525011 | + | 0.851095i | \(0.324061\pi\) | |||||||
\(150\) | −1411.37 | − | 1184.28i | −0.768252 | − | 0.644640i | ||||
\(151\) | 1111.52 | 0.599037 | 0.299518 | − | 0.954091i | \(-0.403174\pi\) | ||||
0.299518 | + | 0.954091i | \(0.403174\pi\) | |||||||
\(152\) | 239.227 | + | 617.856i | 0.127657 | + | 0.329702i | ||||
\(153\) | 4500.65 | 2.37814 | ||||||||
\(154\) | −426.925 | − | 358.233i | −0.223394 | − | 0.187450i | ||||
\(155\) | 1785.06 | − | 649.709i | 0.925030 | − | 0.336683i | ||||
\(156\) | −432.146 | − | 2450.82i | −0.221791 | − | 1.25784i | ||||
\(157\) | −492.695 | + | 2794.21i | −0.250454 | + | 1.42040i | 0.557022 | + | 0.830498i | \(0.311944\pi\) |
−0.807477 | + | 0.589900i | \(0.799167\pi\) | |||||||
\(158\) | −702.856 | − | 255.819i | −0.353900 | − | 0.128809i | ||||
\(159\) | 388.510 | + | 672.920i | 0.193779 | + | 0.335635i | ||||
\(160\) | −91.1820 | + | 157.932i | −0.0450536 | + | 0.0780351i | ||||
\(161\) | 664.094 | − | 557.241i | 0.325080 | − | 0.272775i | ||||
\(162\) | −3870.84 | + | 3248.02i | −1.87729 | + | 1.57524i | ||||
\(163\) | −1147.76 | + | 1987.97i | −0.551529 | + | 0.955277i | 0.446635 | + | 0.894716i | \(0.352622\pi\) |
−0.998165 | + | 0.0605606i | \(0.980711\pi\) | |||||||
\(164\) | −23.6911 | − | 41.0342i | −0.0112803 | − | 0.0195380i | ||||
\(165\) | −1895.18 | − | 689.788i | −0.894178 | − | 0.325454i | ||||
\(166\) | −40.2045 | + | 228.011i | −0.0187980 | + | 0.106609i | ||||
\(167\) | −154.002 | − | 873.388i | −0.0713594 | − | 0.404700i | −0.999475 | − | 0.0324067i | \(-0.989683\pi\) |
0.928115 | − | 0.372293i | \(-0.121428\pi\) | |||||||
\(168\) | −586.793 | + | 213.575i | −0.269476 | + | 0.0980814i | ||||
\(169\) | 1308.15 | + | 1097.67i | 0.595426 | + | 0.499621i | ||||
\(170\) | 711.154 | 0.320841 | ||||||||
\(171\) | 121.549 | + | 5972.70i | 0.0543573 | + | 2.67102i | ||||
\(172\) | 314.546 | 0.139442 | ||||||||
\(173\) | −452.712 | − | 379.871i | −0.198954 | − | 0.166942i | 0.537868 | − | 0.843029i | \(-0.319230\pi\) |
−0.736822 | + | 0.676087i | \(0.763674\pi\) | |||||||
\(174\) | 2053.13 | − | 747.278i | 0.894525 | − | 0.325580i | ||||
\(175\) | −125.956 | − | 714.334i | −0.0544080 | − | 0.308563i | ||||
\(176\) | 98.7546 | − | 560.065i | 0.0422949 | − | 0.239866i | ||||
\(177\) | −4577.63 | − | 1666.12i | −1.94393 | − | 0.707533i | ||||
\(178\) | −695.481 | − | 1204.61i | −0.292857 | − | 0.507243i | ||||
\(179\) | −506.912 | + | 877.997i | −0.211667 | + | 0.366618i | −0.952236 | − | 0.305362i | \(-0.901223\pi\) |
0.740569 | + | 0.671980i | \(0.234556\pi\) | |||||||
\(180\) | −1259.60 | + | 1056.93i | −0.521585 | + | 0.437661i | ||||
\(181\) | 833.247 | − | 699.177i | 0.342181 | − | 0.287124i | −0.455460 | − | 0.890256i | \(-0.650525\pi\) |
0.797641 | + | 0.603132i | \(0.206081\pi\) | |||||||
\(182\) | 489.884 | − | 848.504i | 0.199520 | − | 0.345578i | ||||
\(183\) | −690.559 | − | 1196.08i | −0.278948 | − | 0.483153i | ||||
\(184\) | 831.286 | + | 302.563i | 0.333061 | + | 0.121224i | ||||
\(185\) | −35.6473 | + | 202.166i | −0.0141667 | + | 0.0803434i | ||||
\(186\) | 1152.62 | + | 6536.84i | 0.454378 | + | 2.57690i | ||||
\(187\) | −2084.00 | + | 758.513i | −0.814957 | + | 0.296620i | ||||
\(188\) | 719.577 | + | 603.797i | 0.279152 | + | 0.234236i | ||||
\(189\) | −3522.88 | −1.35583 | ||||||||
\(190\) | 19.2062 | + | 943.756i | 0.00733348 | + | 0.360354i | ||||
\(191\) | −4113.64 | −1.55839 | −0.779195 | − | 0.626782i | \(-0.784372\pi\) | ||||
−0.779195 | + | 0.626782i | \(0.784372\pi\) | |||||||
\(192\) | −488.137 | − | 409.596i | −0.183481 | − | 0.153958i | ||||
\(193\) | −1547.49 | + | 563.239i | −0.577153 | + | 0.210067i | −0.614070 | − | 0.789252i | \(-0.710469\pi\) |
0.0369165 | + | 0.999318i | \(0.488246\pi\) | |||||||
\(194\) | −335.792 | − | 1904.37i | −0.124271 | − | 0.704773i | ||||
\(195\) | 615.686 | − | 3491.73i | 0.226104 | − | 1.28230i | ||||
\(196\) | 1058.24 | + | 385.168i | 0.385656 | + | 0.140367i | ||||
\(197\) | 2580.13 | + | 4468.91i | 0.933130 | + | 1.61623i | 0.777935 | + | 0.628344i | \(0.216267\pi\) |
0.155194 | + | 0.987884i | \(0.450400\pi\) | |||||||
\(198\) | 2563.88 | − | 4440.77i | 0.920237 | − | 1.59390i | ||||
\(199\) | 3300.71 | − | 2769.62i | 1.17578 | − | 0.986600i | 0.175786 | − | 0.984428i | \(-0.443753\pi\) |
0.999998 | − | 0.00217131i | \(-0.000691151\pi\) | |||||||
\(200\) | 567.013 | − | 475.780i | 0.200469 | − | 0.168214i | ||||
\(201\) | 2459.25 | − | 4259.54i | 0.862995 | − | 1.49475i | ||||
\(202\) | −1427.59 | − | 2472.65i | −0.497250 | − | 0.861263i | ||||
\(203\) | 808.313 | + | 294.202i | 0.279470 | + | 0.101719i | ||||
\(204\) | −431.502 | + | 2447.17i | −0.148094 | + | 0.839882i | ||||
\(205\) | −11.7223 | − | 66.4807i | −0.00399377 | − | 0.0226498i | ||||
\(206\) | 2609.16 | − | 949.657i | 0.882470 | − | 0.321193i | ||||
\(207\) | 6110.25 | + | 5127.11i | 2.05165 | + | 1.72154i | ||||
\(208\) | 999.798 | 0.333286 | ||||||||
\(209\) | −1062.89 | − | 2745.14i | −0.351777 | − | 0.908542i | ||||
\(210\) | −889.668 | −0.292347 | ||||||||
\(211\) | −1381.41 | − | 1159.14i | −0.450713 | − | 0.378193i | 0.388987 | − | 0.921243i | \(-0.372825\pi\) |
−0.839701 | + | 0.543050i | \(0.817269\pi\) | |||||||
\(212\) | −293.340 | + | 106.767i | −0.0950313 | + | 0.0345886i | ||||
\(213\) | 175.928 | + | 997.739i | 0.0565935 | + | 0.320958i | ||||
\(214\) | −489.450 | + | 2775.81i | −0.156346 | + | 0.886684i | ||||
\(215\) | 421.114 | + | 153.273i | 0.133580 | + | 0.0486192i | ||||
\(216\) | −1797.45 | − | 3113.27i | −0.566208 | − | 0.980701i | ||||
\(217\) | −1306.62 | + | 2263.13i | −0.408752 | + | 0.707979i | ||||
\(218\) | −899.125 | + | 754.455i | −0.279341 | + | 0.234395i | ||||
\(219\) | −4326.80 | + | 3630.62i | −1.33506 | + | 1.12025i | ||||
\(220\) | 405.122 | − | 701.692i | 0.124152 | − | 0.215037i | ||||
\(221\) | −1949.42 | − | 3376.50i | −0.593360 | − | 1.02773i | ||||
\(222\) | −674.048 | − | 245.333i | −0.203780 | − | 0.0741698i | ||||
\(223\) | −521.289 | + | 2956.38i | −0.156539 | + | 0.887774i | 0.800827 | + | 0.598896i | \(0.204394\pi\) |
−0.957366 | + | 0.288879i | \(0.906718\pi\) | |||||||
\(224\) | −43.5633 | − | 247.060i | −0.0129942 | − | 0.0736937i | ||||
\(225\) | 6271.41 | − | 2282.61i | 1.85820 | − | 0.676328i | ||||
\(226\) | −730.189 | − | 612.701i | −0.214918 | − | 0.180337i | ||||
\(227\) | −6582.24 | −1.92457 | −0.962287 | − | 0.272036i | \(-0.912303\pi\) | ||||
−0.962287 | + | 0.272036i | \(0.912303\pi\) | |||||||
\(228\) | −3259.23 | − | 506.545i | −0.946702 | − | 0.147135i | ||||
\(229\) | −1811.29 | −0.522677 | −0.261339 | − | 0.965247i | \(-0.584164\pi\) | ||||
−0.261339 | + | 0.965247i | \(0.584164\pi\) | |||||||
\(230\) | 965.490 | + | 810.142i | 0.276793 | + | 0.232257i | ||||
\(231\) | 2607.12 | − | 948.916i | 0.742581 | − | 0.270277i | ||||
\(232\) | 152.424 | + | 864.438i | 0.0431341 | + | 0.244626i | ||||
\(233\) | −762.435 | + | 4323.99i | −0.214373 | + | 1.21577i | 0.667619 | + | 0.744503i | \(0.267313\pi\) |
−0.881992 | + | 0.471264i | \(0.843798\pi\) | |||||||
\(234\) | 8471.07 | + | 3083.22i | 2.36654 | + | 0.861352i | ||||
\(235\) | 669.149 | + | 1159.00i | 0.185747 | + | 0.321723i | ||||
\(236\) | 978.537 | − | 1694.88i | 0.269904 | − | 0.467487i | ||||
\(237\) | 2852.41 | − | 2393.46i | 0.781790 | − | 0.656000i | ||||
\(238\) | −749.427 | + | 628.844i | −0.204110 | + | 0.171268i | ||||
\(239\) | 219.920 | − | 380.913i | 0.0595208 | − | 0.103093i | −0.834730 | − | 0.550660i | \(-0.814376\pi\) |
0.894250 | + | 0.447567i | \(0.147709\pi\) | |||||||
\(240\) | −453.928 | − | 786.226i | −0.122087 | − | 0.211461i | ||||
\(241\) | 2149.25 | + | 782.263i | 0.574462 | + | 0.209087i | 0.612882 | − | 0.790175i | \(-0.290010\pi\) |
−0.0384197 | + | 0.999262i | \(0.512232\pi\) | |||||||
\(242\) | 23.4842 | − | 133.185i | 0.00623810 | − | 0.0353780i | ||||
\(243\) | −2261.33 | − | 12824.6i | −0.596973 | − | 3.38560i | ||||
\(244\) | 521.397 | − | 189.773i | 0.136799 | − | 0.0497909i | ||||
\(245\) | 1229.08 | + | 1031.32i | 0.320503 | + | 0.268934i | ||||
\(246\) | 235.881 | 0.0611350 | ||||||||
\(247\) | 4428.23 | − | 2678.23i | 1.14074 | − | 0.689925i | ||||
\(248\) | −2666.66 | −0.682796 | ||||||||
\(249\) | −882.950 | − | 740.883i | −0.224718 | − | 0.188560i | ||||
\(250\) | 2329.75 | − | 847.961i | 0.589386 | − | 0.214519i | ||||
\(251\) | 584.034 | + | 3312.22i | 0.146868 | + | 0.832931i | 0.965848 | + | 0.259109i | \(0.0834288\pi\) |
−0.818980 | + | 0.573822i | \(0.805460\pi\) | |||||||
\(252\) | 392.791 | − | 2227.63i | 0.0981886 | − | 0.556855i | ||||
\(253\) | −3693.41 | − | 1344.29i | −0.917797 | − | 0.334051i | ||||
\(254\) | −513.570 | − | 889.529i | −0.126867 | − | 0.219740i | ||||
\(255\) | −1770.15 | + | 3066.00i | −0.434711 | + | 0.752942i | ||||
\(256\) | 196.107 | − | 164.554i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 4037.83 | − | 3388.14i | 0.980051 | − | 0.822360i | −0.00404609 | − | 0.999992i | \(-0.501288\pi\) |
0.984097 | + | 0.177631i | \(0.0568435\pi\) | |||||||
\(258\) | −782.948 | + | 1356.10i | −0.188931 | + | 0.327238i | ||||
\(259\) | −141.201 | − | 244.567i | −0.0338757 | − | 0.0586745i | ||||
\(260\) | 1338.53 | + | 487.184i | 0.319277 | + | 0.116207i | ||||
\(261\) | −1374.34 | + | 7794.25i | −0.325936 | + | 1.84848i | ||||
\(262\) | 268.547 | + | 1523.00i | 0.0633239 | + | 0.359128i | ||||
\(263\) | −1760.74 | + | 640.857i | −0.412821 | + | 0.150255i | −0.540078 | − | 0.841615i | \(-0.681605\pi\) |
0.127256 | + | 0.991870i | \(0.459383\pi\) | |||||||
\(264\) | 2168.80 | + | 1819.84i | 0.505607 | + | 0.424254i | ||||
\(265\) | −444.748 | −0.103097 | ||||||||
\(266\) | −854.764 | − | 977.564i | −0.197026 | − | 0.225332i | ||||
\(267\) | 6924.57 | 1.58718 | ||||||||
\(268\) | 1513.70 | + | 1270.14i | 0.345014 | + | 0.289501i | ||||
\(269\) | −4036.20 | + | 1469.06i | −0.914837 | + | 0.332974i | −0.756183 | − | 0.654361i | \(-0.772938\pi\) |
−0.158655 | + | 0.987334i | \(0.550716\pi\) | |||||||
\(270\) | −889.377 | − | 5043.91i | −0.200466 | − | 1.13690i | ||||
\(271\) | 549.278 | − | 3115.11i | 0.123123 | − | 0.698263i | −0.859283 | − | 0.511501i | \(-0.829090\pi\) |
0.982405 | − | 0.186762i | \(-0.0597993\pi\) | |||||||
\(272\) | −938.102 | − | 341.441i | −0.209121 | − | 0.0761137i | ||||
\(273\) | 2438.77 | + | 4224.07i | 0.540663 | + | 0.936457i | ||||
\(274\) | −448.369 | + | 776.597i | −0.0988575 | + | 0.171226i | ||||
\(275\) | −2519.24 | + | 2113.89i | −0.552422 | + | 0.463537i | ||||
\(276\) | −3373.62 | + | 2830.80i | −0.735754 | + | 0.617371i | ||||
\(277\) | 1170.64 | − | 2027.61i | 0.253924 | − | 0.439809i | −0.710679 | − | 0.703517i | \(-0.751612\pi\) |
0.964603 | + | 0.263707i | \(0.0849453\pi\) | |||||||
\(278\) | 1684.19 | + | 2917.10i | 0.363348 | + | 0.629337i | ||||
\(279\) | −22594.1 | − | 8223.57i | −4.84829 | − | 1.76463i | ||||
\(280\) | 62.0655 | − | 351.991i | 0.0132469 | − | 0.0751267i | ||||
\(281\) | 1441.05 | + | 8172.62i | 0.305929 | + | 1.73501i | 0.619100 | + | 0.785312i | \(0.287497\pi\) |
−0.313171 | + | 0.949697i | \(0.601391\pi\) | |||||||
\(282\) | −4394.27 | + | 1599.39i | −0.927926 | + | 0.337738i | ||||
\(283\) | 222.338 | + | 186.563i | 0.0467018 | + | 0.0391874i | 0.665840 | − | 0.746095i | \(-0.268073\pi\) |
−0.619138 | + | 0.785282i | \(0.712518\pi\) | |||||||
\(284\) | −407.022 | −0.0850433 | ||||||||
\(285\) | −4116.62 | − | 2266.33i | −0.855606 | − | 0.471038i | ||||
\(286\) | −4442.11 | −0.918417 | ||||||||
\(287\) | 71.1393 | + | 59.6930i | 0.0146314 | + | 0.0122772i | ||||
\(288\) | 2169.03 | − | 789.464i | 0.443790 | − | 0.161526i | ||||
\(289\) | −177.115 | − | 1004.47i | −0.0360502 | − | 0.204451i | ||||
\(290\) | −217.161 | + | 1231.58i | −0.0439729 | + | 0.249383i | ||||
\(291\) | 9046.16 | + | 3292.53i | 1.82232 | + | 0.663270i | ||||
\(292\) | −1134.58 | − | 1965.15i | −0.227385 | − | 0.393842i | ||||
\(293\) | −1201.60 | + | 2081.24i | −0.239585 | + | 0.414973i | −0.960595 | − | 0.277951i | \(-0.910345\pi\) |
0.721010 | + | 0.692924i | \(0.243678\pi\) | |||||||
\(294\) | −4294.67 | + | 3603.66i | −0.851940 | + | 0.714862i | ||||
\(295\) | 2135.95 | − | 1792.27i | 0.421558 | − | 0.353729i | ||||
\(296\) | 144.088 | − | 249.567i | 0.0282937 | − | 0.0490061i | ||||
\(297\) | 7986.08 | + | 13832.3i | 1.56027 | + | 2.70246i | ||||
\(298\) | −1382.71 | − | 503.264i | −0.268785 | − | 0.0978298i | ||||
\(299\) | 1199.88 | − | 6804.84i | 0.232076 | − | 1.31617i | ||||
\(300\) | 639.863 | + | 3628.84i | 0.123142 | + | 0.698371i | ||||
\(301\) | −579.311 | + | 210.852i | −0.110933 | + | 0.0403764i | ||||
\(302\) | −1702.95 | − | 1428.95i | −0.324483 | − | 0.272274i | ||||
\(303\) | 14213.8 | 2.69492 | ||||||||
\(304\) | 427.784 | − | 1254.16i | 0.0807075 | − | 0.236614i | ||||
\(305\) | 790.518 | 0.148410 | ||||||||
\(306\) | −6895.39 | − | 5785.92i | −1.28818 | − | 1.08091i | ||||
\(307\) | 9407.63 | − | 3424.10i | 1.74893 | − | 0.636558i | 0.749261 | − | 0.662275i | \(-0.230409\pi\) |
0.999669 | + | 0.0257166i | \(0.00818674\pi\) | |||||||
\(308\) | 193.552 | + | 1097.69i | 0.0358073 | + | 0.203074i | ||||
\(309\) | −2400.29 | + | 13612.7i | −0.441901 | + | 2.50615i | ||||
\(310\) | −3570.12 | − | 1299.42i | −0.654095 | − | 0.238071i | ||||
\(311\) | −2928.62 | − | 5072.51i | −0.533976 | − | 0.924874i | −0.999212 | − | 0.0396874i | \(-0.987364\pi\) |
0.465236 | − | 0.885187i | \(-0.345970\pi\) | |||||||
\(312\) | −2488.63 | + | 4310.43i | −0.451573 | + | 0.782148i | ||||
\(313\) | 4694.41 | − | 3939.08i | 0.847744 | − | 0.711342i | −0.111547 | − | 0.993759i | \(-0.535581\pi\) |
0.959292 | + | 0.282417i | \(0.0911362\pi\) | |||||||
\(314\) | 4347.02 | − | 3647.58i | 0.781263 | − | 0.655558i | ||||
\(315\) | 1611.35 | − | 2790.94i | 0.288220 | − | 0.499212i | ||||
\(316\) | 747.964 | + | 1295.51i | 0.133153 | + | 0.230627i | ||||
\(317\) | 7262.63 | + | 2643.38i | 1.28678 | + | 0.468350i | 0.892670 | − | 0.450712i | \(-0.148830\pi\) |
0.394113 | + | 0.919062i | \(0.371052\pi\) | |||||||
\(318\) | 269.857 | − | 1530.43i | 0.0475874 | − | 0.269882i | ||||
\(319\) | −677.220 | − | 3840.71i | −0.118862 | − | 0.674101i | ||||
\(320\) | 342.732 | − | 124.744i | 0.0598728 | − | 0.0217919i | ||||
\(321\) | −10749.0 | − | 9019.52i | −1.86901 | − | 1.56829i | ||||
\(322\) | −1733.83 | −0.300069 | ||||||||
\(323\) | −5069.62 | + | 1000.67i | −0.873316 | + | 0.172380i | ||||
\(324\) | 10106.0 | 1.73286 | ||||||||
\(325\) | −4428.89 | − | 3716.28i | −0.755910 | − | 0.634284i | ||||
\(326\) | 4314.16 | − | 1570.22i | 0.732942 | − | 0.266769i | ||||
\(327\) | −1014.64 | − | 5754.34i | −0.171590 | − | 0.973136i | ||||
\(328\) | −16.4557 | + | 93.3246i | −0.00277016 | + | 0.0157103i | ||||
\(329\) | −1730.02 | − | 629.675i | −0.289906 | − | 0.105517i | ||||
\(330\) | 2016.81 | + | 3493.21i | 0.336429 | + | 0.582712i | ||||
\(331\) | −1951.74 | + | 3380.51i | −0.324101 | + | 0.561359i | −0.981330 | − | 0.192332i | \(-0.938395\pi\) |
0.657229 | + | 0.753691i | \(0.271728\pi\) | |||||||
\(332\) | 354.722 | − | 297.647i | 0.0586383 | − | 0.0492033i | ||||
\(333\) | 1990.45 | − | 1670.19i | 0.327556 | − | 0.274852i | ||||
\(334\) | −886.862 | + | 1536.09i | −0.145290 | + | 0.251650i | ||||
\(335\) | 1407.61 | + | 2438.06i | 0.229571 | + | 0.397628i | ||||
\(336\) | 1173.59 | + | 427.150i | 0.190549 | + | 0.0693540i | ||||
\(337\) | 1700.05 | − | 9641.49i | 0.274801 | − | 1.55847i | −0.464793 | − | 0.885419i | \(-0.653871\pi\) |
0.739594 | − | 0.673054i | \(-0.235018\pi\) | |||||||
\(338\) | −593.067 | − | 3363.45i | −0.0954396 | − | 0.541265i | ||||
\(339\) | 4459.07 | − | 1622.97i | 0.714406 | − | 0.260023i | ||||
\(340\) | −1089.55 | − | 914.241i | −0.173792 | − | 0.145829i | ||||
\(341\) | 11848.0 | 1.88154 | ||||||||
\(342\) | 7492.14 | − | 9306.97i | 1.18459 | − | 1.47153i | ||||
\(343\) | −4896.21 | −0.770760 | ||||||||
\(344\) | −481.913 | − | 404.373i | −0.0755320 | − | 0.0633789i | ||||
\(345\) | −5896.00 | + | 2145.97i | −0.920086 | + | 0.334884i | ||||
\(346\) | 205.243 | + | 1163.99i | 0.0318900 | + | 0.180857i | ||||
\(347\) | −481.811 | + | 2732.48i | −0.0745388 | + | 0.422730i | 0.924589 | + | 0.380967i | \(0.124409\pi\) |
−0.999128 | + | 0.0417636i | \(0.986702\pi\) | |||||||
\(348\) | −4106.26 | − | 1494.56i | −0.632525 | − | 0.230220i | ||||
\(349\) | −2579.98 | − | 4468.65i | −0.395711 | − | 0.685391i | 0.597481 | − | 0.801883i | \(-0.296168\pi\) |
−0.993192 | + | 0.116492i | \(0.962835\pi\) | |||||||
\(350\) | −725.354 | + | 1256.35i | −0.110777 | + | 0.191871i | ||||
\(351\) | −21510.1 | + | 18049.1i | −3.27101 | + | 2.74470i | ||||
\(352\) | −871.306 | + | 731.113i | −0.131934 | + | 0.110706i | ||||
\(353\) | −1667.72 | + | 2888.57i | −0.251455 | + | 0.435532i | −0.963927 | − | 0.266168i | \(-0.914242\pi\) |
0.712472 | + | 0.701701i | \(0.247576\pi\) | |||||||
\(354\) | 4871.41 | + | 8437.54i | 0.731392 | + | 1.26681i | ||||
\(355\) | −544.920 | − | 198.335i | −0.0814686 | − | 0.0296521i | ||||
\(356\) | −483.076 | + | 2739.66i | −0.0719185 | + | 0.407870i | ||||
\(357\) | −845.714 | − | 4796.28i | −0.125378 | − | 0.711054i | ||||
\(358\) | 1905.37 | − | 693.496i | 0.281290 | − | 0.102381i | ||||
\(359\) | 5631.07 | + | 4725.03i | 0.827846 | + | 0.694645i | 0.954795 | − | 0.297264i | \(-0.0960742\pi\) |
−0.126950 | + | 0.991909i | \(0.540519\pi\) | |||||||
\(360\) | 3288.59 | 0.481455 | ||||||||
\(361\) | −1464.88 | − | 6700.75i | −0.213571 | − | 0.976928i | ||||
\(362\) | −2175.45 | −0.315854 | ||||||||
\(363\) | 515.747 | + | 432.763i | 0.0745722 | + | 0.0625735i | ||||
\(364\) | −1841.36 | + | 670.201i | −0.265147 | + | 0.0965056i | ||||
\(365\) | −561.390 | − | 3183.80i | −0.0805054 | − | 0.456569i | ||||
\(366\) | −479.657 | + | 2720.27i | −0.0685029 | + | 0.388499i | ||||
\(367\) | −1006.84 | − | 366.461i | −0.143207 | − | 0.0521230i | 0.269422 | − | 0.963022i | \(-0.413167\pi\) |
−0.412629 | + | 0.910899i | \(0.635389\pi\) | |||||||
\(368\) | −884.636 | − | 1532.23i | −0.125312 | − | 0.217047i | ||||
\(369\) | −427.224 | + | 739.973i | −0.0602720 | + | 0.104394i | ||||
\(370\) | 314.514 | − | 263.909i | 0.0441914 | − | 0.0370810i | ||||
\(371\) | 468.684 | − | 393.272i | 0.0655872 | − | 0.0550342i | ||||
\(372\) | 6637.68 | − | 11496.8i | 0.925128 | − | 1.60237i | ||||
\(373\) | −3995.92 | − | 6921.13i | −0.554694 | − | 0.960758i | −0.997927 | − | 0.0643516i | \(-0.979502\pi\) |
0.443234 | − | 0.896406i | \(-0.353831\pi\) | |||||||
\(374\) | 4167.99 | + | 1517.03i | 0.576262 | + | 0.209742i | ||||
\(375\) | −2143.25 | + | 12155.0i | −0.295138 | + | 1.67381i | ||||
\(376\) | −326.230 | − | 1850.14i | −0.0447447 | − | 0.253760i | ||||
\(377\) | 6442.74 | − | 2344.97i | 0.880154 | − | 0.320350i | ||||
\(378\) | 5397.36 | + | 4528.92i | 0.734419 | + | 0.616250i | ||||
\(379\) | 11748.4 | 1.59228 | 0.796141 | − | 0.605111i | \(-0.206871\pi\) | ||||
0.796141 | + | 0.605111i | \(0.206871\pi\) | |||||||
\(380\) | 1183.84 | − | 1470.61i | 0.159815 | − | 0.198528i | ||||
\(381\) | 5113.37 | 0.687575 | ||||||||
\(382\) | 6302.46 | + | 5288.39i | 0.844141 | + | 0.708318i | ||||
\(383\) | −7172.44 | + | 2610.55i | −0.956904 | + | 0.348285i | −0.772820 | − | 0.634626i | \(-0.781154\pi\) |
−0.184085 | + | 0.982910i | \(0.558932\pi\) | |||||||
\(384\) | 221.303 | + | 1255.07i | 0.0294097 | + | 0.166791i | ||||
\(385\) | −275.758 | + | 1563.90i | −0.0365036 | + | 0.207022i | ||||
\(386\) | 3094.98 | + | 1126.48i | 0.408109 | + | 0.148540i | ||||
\(387\) | −2836.12 | − | 4912.31i | −0.372528 | − | 0.645237i | ||||
\(388\) | −1933.75 | + | 3349.35i | −0.253019 | + | 0.438241i | ||||
\(389\) | −5317.45 | + | 4461.87i | −0.693074 | + | 0.581558i | −0.919794 | − | 0.392402i | \(-0.871644\pi\) |
0.226720 | + | 0.973960i | \(0.427200\pi\) | |||||||
\(390\) | −5432.17 | + | 4558.13i | −0.705304 | + | 0.591820i | ||||
\(391\) | −3449.76 | + | 5975.16i | −0.446194 | + | 0.772831i | ||||
\(392\) | −1126.15 | − | 1950.56i | −0.145101 | − | 0.251321i | ||||
\(393\) | −7234.57 | − | 2633.17i | −0.928590 | − | 0.337979i | ||||
\(394\) | 1792.14 | − | 10163.7i | 0.229154 | − | 1.29960i | ||||
\(395\) | 370.092 | + | 2098.90i | 0.0471427 | + | 0.267360i | ||||
\(396\) | −9637.03 | + | 3507.59i | −1.22293 | + | 0.445109i | ||||
\(397\) | 3592.36 | + | 3014.35i | 0.454144 | + | 0.381072i | 0.840971 | − | 0.541080i | \(-0.181984\pi\) |
−0.386827 | + | 0.922152i | \(0.626429\pi\) | |||||||
\(398\) | −8617.54 | −1.08532 | ||||||||
\(399\) | 6342.19 | − | 1251.86i | 0.795757 | − | 0.157071i | ||||
\(400\) | −1480.37 | −0.185046 | ||||||||
\(401\) | −11378.2 | − | 9547.43i | −1.41696 | − | 1.18897i | −0.952947 | − | 0.303138i | \(-0.901966\pi\) |
−0.464010 | − | 0.885830i | \(-0.653590\pi\) | |||||||
\(402\) | −9243.75 | + | 3364.45i | −1.14686 | + | 0.417422i | ||||
\(403\) | 3616.93 | + | 20512.7i | 0.447078 | + | 2.53550i | ||||
\(404\) | −991.591 | + | 5623.59i | −0.122113 | + | 0.692535i | ||||
\(405\) | 13529.9 | + | 4924.50i | 1.66002 | + | 0.604198i | ||||
\(406\) | −860.189 | − | 1489.89i | −0.105149 | − | 0.182123i | ||||
\(407\) | −640.183 | + | 1108.83i | −0.0779673 | + | 0.135043i | ||||
\(408\) | 3807.12 | − | 3194.55i | 0.461962 | − | 0.387632i | ||||
\(409\) | −5410.93 | + | 4540.31i | −0.654164 | + | 0.548909i | −0.908331 | − | 0.418251i | \(-0.862643\pi\) |
0.254167 | + | 0.967160i | \(0.418199\pi\) | |||||||
\(410\) | −67.5062 | + | 116.924i | −0.00813145 | + | 0.0140841i | ||||
\(411\) | −2232.10 | − | 3866.11i | −0.267886 | − | 0.463993i | ||||
\(412\) | −5218.32 | − | 1899.31i | −0.624001 | − | 0.227118i | ||||
\(413\) | −666.068 | + | 3777.46i | −0.0793585 | + | 0.450064i | ||||
\(414\) | −2770.16 | − | 15710.4i | −0.328855 | − | 1.86503i | ||||
\(415\) | 619.939 | − | 225.639i | 0.0733292 | − | 0.0266897i | ||||
\(416\) | −1531.78 | − | 1285.31i | −0.180533 | − | 0.151485i | ||||
\(417\) | −16768.6 | −1.96922 | ||||||||
\(418\) | −1900.65 | + | 5572.22i | −0.222401 | + | 0.652024i | ||||
\(419\) | 2685.43 | 0.313107 | 0.156553 | − | 0.987669i | \(-0.449962\pi\) | ||||
0.156553 | + | 0.987669i | \(0.449962\pi\) | |||||||
\(420\) | 1363.05 | + | 1143.74i | 0.158357 | + | 0.132878i | ||||
\(421\) | 4258.19 | − | 1549.85i | 0.492949 | − | 0.179419i | −0.0835710 | − | 0.996502i | \(-0.526633\pi\) |
0.576520 | + | 0.817083i | \(0.304410\pi\) | |||||||
\(422\) | 626.283 | + | 3551.83i | 0.0722440 | + | 0.409716i | ||||
\(423\) | 2941.47 | − | 16681.9i | 0.338107 | − | 1.91750i | ||||
\(424\) | 586.679 | + | 213.534i | 0.0671973 | + | 0.0244578i | ||||
\(425\) | 2886.44 | + | 4999.47i | 0.329443 | + | 0.570611i | ||||
\(426\) | 1013.13 | − | 1754.79i | 0.115226 | − | 0.199578i | ||||
\(427\) | −833.063 | + | 699.023i | −0.0944139 | + | 0.0792227i | ||||
\(428\) | 4318.39 | − | 3623.56i | 0.487704 | − | 0.409232i | ||||
\(429\) | 11057.0 | − | 19151.3i | 1.24437 | − | 2.15532i | ||||
\(430\) | −448.140 | − | 776.202i | −0.0502587 | − | 0.0870506i | ||||
\(431\) | 7494.17 | + | 2727.66i | 0.837544 | + | 0.304841i | 0.724951 | − | 0.688800i | \(-0.241862\pi\) |
0.112593 | + | 0.993641i | \(0.464084\pi\) | |||||||
\(432\) | −1248.49 | + | 7080.56i | −0.139047 | + | 0.788574i | ||||
\(433\) | 2234.63 | + | 12673.2i | 0.248013 | + | 1.40655i | 0.813390 | + | 0.581719i | \(0.197620\pi\) |
−0.565377 | + | 0.824833i | \(0.691269\pi\) | |||||||
\(434\) | 4911.28 | − | 1787.56i | 0.543201 | − | 0.197709i | ||||
\(435\) | −4769.18 | − | 4001.82i | −0.525666 | − | 0.441086i | ||||
\(436\) | 2347.45 | 0.257849 | ||||||||
\(437\) | −8022.66 | − | 4416.73i | −0.878206 | − | 0.483480i | ||||
\(438\) | 11296.5 | 1.23234 | ||||||||
\(439\) | 5434.26 | + | 4559.88i | 0.590804 | + | 0.495743i | 0.888475 | − | 0.458925i | \(-0.151765\pi\) |
−0.297671 | + | 0.954669i | \(0.596210\pi\) | |||||||
\(440\) | −1522.76 | + | 554.240i | −0.164988 | + | 0.0600508i | ||||
\(441\) | −3526.46 | − | 19999.5i | −0.380786 | − | 2.15954i | ||||
\(442\) | −1354.06 | + | 7679.23i | −0.145715 | + | 0.826389i | ||||
\(443\) | −9485.10 | − | 3452.29i | −1.01727 | − | 0.370256i | −0.221050 | − | 0.975263i | \(-0.570948\pi\) |
−0.796221 | + | 0.605006i | \(0.793171\pi\) | |||||||
\(444\) | 717.307 | + | 1242.41i | 0.0766709 | + | 0.132798i | ||||
\(445\) | −1981.73 | + | 3432.46i | −0.211108 | + | 0.365649i | ||||
\(446\) | 4599.31 | − | 3859.28i | 0.488304 | − | 0.409736i | ||||
\(447\) | 5611.46 | − | 4708.57i | 0.593765 | − | 0.498228i | ||||
\(448\) | −250.871 | + | 434.522i | −0.0264566 | + | 0.0458242i | ||||
\(449\) | 3147.97 | + | 5452.44i | 0.330873 | + | 0.573088i | 0.982683 | − | 0.185293i | \(-0.0593236\pi\) |
−0.651810 | + | 0.758382i | \(0.725990\pi\) | |||||||
\(450\) | −12542.8 | − | 4565.21i | −1.31394 | − | 0.478236i | ||||
\(451\) | 73.1126 | − | 414.642i | 0.00763356 | − | 0.0432921i | ||||
\(452\) | 331.041 | + | 1877.42i | 0.0344488 | + | 0.195369i | ||||
\(453\) | 10399.5 | − | 3785.11i | 1.07861 | − | 0.392583i | ||||
\(454\) | 10084.6 | + | 8461.96i | 1.04249 | + | 0.874756i | ||||
\(455\) | −2791.79 | −0.287650 | ||||||||
\(456\) | 4342.23 | + | 4966.06i | 0.445929 | + | 0.509994i | ||||
\(457\) | −6438.99 | −0.659088 | −0.329544 | − | 0.944140i | \(-0.606895\pi\) | ||||
−0.329544 | + | 0.944140i | \(0.606895\pi\) | |||||||
\(458\) | 2775.05 | + | 2328.54i | 0.283121 | + | 0.237567i | ||||
\(459\) | 26346.7 | − | 9589.42i | 2.67921 | − | 0.975154i | ||||
\(460\) | −437.717 | − | 2482.42i | −0.0443667 | − | 0.251616i | ||||
\(461\) | 2006.65 | − | 11380.3i | 0.202731 | − | 1.14975i | −0.698239 | − | 0.715865i | \(-0.746033\pi\) |
0.900970 | − | 0.433881i | \(-0.142856\pi\) | |||||||
\(462\) | −5214.25 | − | 1897.83i | −0.525084 | − | 0.191115i | ||||
\(463\) | 3993.64 | + | 6917.19i | 0.400865 | + | 0.694318i | 0.993830 | − | 0.110910i | \(-0.0353765\pi\) |
−0.592966 | + | 0.805228i | \(0.702043\pi\) | |||||||
\(464\) | 877.774 | − | 1520.35i | 0.0878225 | − | 0.152113i | ||||
\(465\) | 14488.7 | − | 12157.5i | 1.44494 | − | 1.21245i | ||||
\(466\) | 6726.93 | − | 5644.56i | 0.668710 | − | 0.561114i | ||||
\(467\) | −7703.66 | + | 13343.1i | −0.763347 | + | 1.32216i | 0.177769 | + | 0.984072i | \(0.443112\pi\) |
−0.941116 | + | 0.338084i | \(0.890221\pi\) | |||||||
\(468\) | −9014.73 | − | 15614.0i | −0.890397 | − | 1.54221i | ||||
\(469\) | −3639.25 | − | 1324.58i | −0.358305 | − | 0.130412i | ||||
\(470\) | 464.786 | − | 2635.93i | 0.0456148 | − | 0.258695i | ||||
\(471\) | 4905.53 | + | 27820.6i | 0.479904 | + | 2.72167i | ||||
\(472\) | −3678.10 | + | 1338.72i | −0.358682 | + | 0.130550i | ||||
\(473\) | 2141.14 | + | 1796.63i | 0.208139 | + | 0.174650i | ||||
\(474\) | −7447.12 | −0.721641 | ||||||||
\(475\) | −6556.73 | + | 3965.56i | −0.633354 | + | 0.383057i | ||||
\(476\) | 1956.61 | 0.188406 | ||||||||
\(477\) | 4312.30 | + | 3618.45i | 0.413935 | + | 0.347332i | ||||
\(478\) | −826.630 | + | 300.869i | −0.0790987 | + | 0.0287896i | ||||
\(479\) | −3177.73 | − | 18021.8i | −0.303120 | − | 1.71908i | −0.632227 | − | 0.774784i | \(-0.717859\pi\) |
0.329107 | − | 0.944293i | \(-0.393252\pi\) | |||||||
\(480\) | −315.295 | + | 1788.13i | −0.0299816 | + | 0.170034i | ||||
\(481\) | −2115.17 | − | 769.858i | −0.200506 | − | 0.0729782i | ||||
\(482\) | −2287.18 | − | 3961.52i | −0.216138 | − | 0.374362i | ||||
\(483\) | 4315.72 | − | 7475.05i | 0.406568 | − | 0.704196i | ||||
\(484\) | −207.200 | + | 173.861i | −0.0194590 | + | 0.0163281i | ||||
\(485\) | −4220.98 | + | 3541.82i | −0.395185 | + | 0.331600i | ||||
\(486\) | −13022.5 | + | 22555.6i | −1.21546 | + | 2.10523i | ||||
\(487\) | −3906.70 | − | 6766.60i | −0.363510 | − | 0.629618i | 0.625026 | − | 0.780604i | \(-0.285088\pi\) |
−0.988536 | + | 0.150986i | \(0.951755\pi\) | |||||||
\(488\) | −1042.79 | − | 379.546i | −0.0967317 | − | 0.0352075i | ||||
\(489\) | −3968.79 | + | 22508.1i | −0.367024 | + | 2.08150i | ||||
\(490\) | −557.221 | − | 3160.16i | −0.0513728 | − | 0.291350i | ||||
\(491\) | −4634.67 | + | 1686.88i | −0.425987 | + | 0.155047i | −0.546112 | − | 0.837712i | \(-0.683893\pi\) |
0.120125 | + | 0.992759i | \(0.461670\pi\) | |||||||
\(492\) | −361.390 | − | 303.243i | −0.0331153 | − | 0.0277871i | ||||
\(493\) | −6846.00 | −0.625412 | ||||||||
\(494\) | −10227.5 | − | 1589.54i | −0.931492 | − | 0.144771i | ||||
\(495\) | −14611.2 | −1.32672 | ||||||||
\(496\) | 4085.57 | + | 3428.20i | 0.369853 | + | 0.310344i | ||||
\(497\) | 749.626 | − | 272.841i | 0.0676566 | − | 0.0246250i | ||||
\(498\) | 400.297 | + | 2270.20i | 0.0360196 | + | 0.204277i | ||||
\(499\) | 352.749 | − | 2000.54i | 0.0316457 | − | 0.179472i | −0.964888 | − | 0.262662i | \(-0.915400\pi\) |
0.996534 | + | 0.0831899i | \(0.0265108\pi\) | |||||||
\(500\) | −4659.50 | − | 1695.92i | −0.416759 | − | 0.151688i | ||||
\(501\) | −4415.03 | − | 7647.06i | −0.393711 | − | 0.681927i | ||||
\(502\) | 3363.32 | − | 5825.44i | 0.299028 | − | 0.517933i | ||||
\(503\) | 16909.2 | − | 14188.5i | 1.49889 | − | 1.25772i | 0.616359 | − | 0.787466i | \(-0.288607\pi\) |
0.882532 | − | 0.470253i | \(-0.155837\pi\) | |||||||
\(504\) | −3465.58 | + | 2907.96i | −0.306288 | + | 0.257006i | ||||
\(505\) | −4067.82 | + | 7045.66i | −0.358446 | + | 0.620847i | ||||
\(506\) | 3930.44 | + | 6807.73i | 0.345315 | + | 0.598104i | ||||
\(507\) | 15977.1 | + | 5815.18i | 1.39954 | + | 0.509391i | ||||
\(508\) | −356.722 | + | 2023.07i | −0.0311555 | + | 0.176691i | ||||
\(509\) | −446.161 | − | 2530.31i | −0.0388522 | − | 0.220342i | 0.959200 | − | 0.282729i | \(-0.0912397\pi\) |
−0.998052 | + | 0.0623873i | \(0.980129\pi\) | |||||||
\(510\) | 6653.61 | − | 2421.71i | 0.577699 | − | 0.210265i | ||||
\(511\) | 3406.91 | + | 2858.73i | 0.294937 | + | 0.247481i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 13437.4 | + | 34705.1i | 1.15649 | + | 2.98688i | ||||
\(514\) | −10542.0 | −0.904648 | ||||||||
\(515\) | −6060.78 | − | 5085.59i | −0.518582 | − | 0.435142i | ||||
\(516\) | 2942.92 | − | 1071.14i | 0.251075 | − | 0.0913839i | ||||
\(517\) | 1449.44 | + | 8220.19i | 0.123301 | + | 0.699272i | ||||
\(518\) | −98.0773 | + | 556.224i | −0.00831905 | + | 0.0471797i | ||||
\(519\) | −5529.19 | − | 2012.46i | −0.467639 | − | 0.170207i | ||||
\(520\) | −1424.43 | − | 2467.19i | −0.120126 | − | 0.208064i | ||||
\(521\) | 6814.97 | − | 11803.9i | 0.573069 | − | 0.992585i | −0.423179 | − | 0.906046i | \(-0.639086\pi\) |
0.996248 | − | 0.0865391i | \(-0.0275807\pi\) | |||||||
\(522\) | 12125.7 | − | 10174.7i | 1.01672 | − | 0.853129i | ||||
\(523\) | −7237.71 | + | 6073.16i | −0.605130 | + | 0.507765i | −0.893090 | − | 0.449878i | \(-0.851467\pi\) |
0.287960 | + | 0.957642i | \(0.407023\pi\) | |||||||
\(524\) | 1546.50 | − | 2678.61i | 0.128930 | − | 0.223312i | ||||
\(525\) | −3611.00 | − | 6254.44i | −0.300185 | − | 0.519935i | ||||
\(526\) | 3521.48 | + | 1281.71i | 0.291909 | + | 0.106246i | ||||
\(527\) | 3611.54 | − | 20482.1i | 0.298522 | − | 1.69300i | ||||
\(528\) | −983.252 | − | 5576.30i | −0.0810428 | − | 0.459616i | ||||
\(529\) | −57.1523 | + | 20.8017i | −0.00469732 | + | 0.00170968i | ||||
\(530\) | 681.393 | + | 571.757i | 0.0558450 | + | 0.0468595i | ||||
\(531\) | −35292.1 | −2.88427 | ||||||||
\(532\) | 52.8424 | + | 2596.58i | 0.00430641 | + | 0.211609i | ||||
\(533\) | 740.196 | 0.0601528 | ||||||||
\(534\) | −10609.1 | − | 8902.06i | −0.859736 | − | 0.721404i | ||||
\(535\) | 7547.15 | − | 2746.94i | 0.609891 | − | 0.221982i | ||||
\(536\) | −686.254 | − | 3891.94i | −0.0553016 | − | 0.313631i | ||||
\(537\) | −1752.83 | + | 9940.81i | −0.140857 | + | 0.798841i | ||||
\(538\) | 8072.39 | + | 2938.11i | 0.646888 | + | 0.235448i | ||||
\(539\) | 5003.51 | + | 8666.34i | 0.399845 | + | 0.692552i | ||||
\(540\) | −5121.72 | + | 8871.07i | −0.408155 | + | 0.706945i | ||||
\(541\) | −3523.85 | + | 2956.86i | −0.280041 | + | 0.234982i | −0.771979 | − | 0.635648i | \(-0.780733\pi\) |
0.491938 | + | 0.870630i | \(0.336289\pi\) | |||||||
\(542\) | −4846.25 | + | 4066.48i | −0.384067 | + | 0.322270i | ||||
\(543\) | 5414.99 | − | 9379.04i | 0.427955 | − | 0.741239i | ||||
\(544\) | 998.307 | + | 1729.12i | 0.0786803 | + | 0.136278i | ||||
\(545\) | 3142.76 | + | 1143.87i | 0.247011 | + | 0.0899046i | ||||
\(546\) | 1693.95 | − | 9606.88i | 0.132774 | − | 0.752997i | ||||
\(547\) | 615.786 | + | 3492.29i | 0.0481336 | + | 0.272979i | 0.999370 | − | 0.0354826i | \(-0.0112968\pi\) |
−0.951237 | + | 0.308462i | \(0.900186\pi\) | |||||||
\(548\) | 1685.31 | − | 613.404i | 0.131374 | − | 0.0478163i | ||||
\(549\) | −7664.91 | − | 6431.62i | −0.595866 | − | 0.499991i | ||||
\(550\) | 6577.27 | 0.509920 | ||||||||
\(551\) | −184.890 | − | 9085.17i | −0.0142951 | − | 0.702434i | ||||
\(552\) | 8807.90 | 0.679147 | ||||||||
\(553\) | −2245.98 | − | 1884.60i | −0.172710 | − | 0.144921i | ||||
\(554\) | −4400.17 | + | 1601.53i | −0.337446 | + | 0.122820i | ||||
\(555\) | 354.923 | + | 2012.87i | 0.0271453 | + | 0.153949i | ||||
\(556\) | 1169.82 | − | 6634.40i | 0.0892294 | − | 0.506045i | ||||
\(557\) | 17443.3 | + | 6348.83i | 1.32692 | + | 0.482960i | 0.905670 | − | 0.423984i | \(-0.139369\pi\) |
0.421251 | + | 0.906944i | \(0.361591\pi\) | |||||||
\(558\) | 24044.1 | + | 41645.6i | 1.82414 | + | 3.15950i | ||||
\(559\) | −2456.90 | + | 4255.47i | −0.185896 | + | 0.321981i | ||||
\(560\) | −547.601 | + | 459.492i | −0.0413221 | + | 0.0346733i | ||||
\(561\) | −16915.0 | + | 14193.4i | −1.27300 | + | 1.06817i | ||||
\(562\) | 8298.69 | − | 14373.8i | 0.622881 | − | 1.07886i | ||||
\(563\) | −7676.62 | − | 13296.3i | −0.574655 | − | 0.995332i | −0.996079 | − | 0.0884685i | \(-0.971803\pi\) |
0.421424 | − | 0.906864i | \(-0.361531\pi\) | |||||||
\(564\) | 8788.55 | + | 3198.77i | 0.656143 | + | 0.238817i | ||||
\(565\) | −471.640 | + | 2674.80i | −0.0351186 | + | 0.199168i | ||||
\(566\) | −100.800 | − | 571.663i | −0.00748574 | − | 0.0424537i | ||||
\(567\) | −18612.6 | + | 6774.45i | −1.37858 | + | 0.501764i | ||||
\(568\) | 623.594 | + | 523.257i | 0.0460659 | + | 0.0386538i | ||||
\(569\) | 277.505 | 0.0204457 | 0.0102229 | − | 0.999948i | \(-0.496746\pi\) | ||||
0.0102229 | + | 0.999948i | \(0.496746\pi\) | |||||||
\(570\) | 3393.50 | + | 8764.45i | 0.249365 | + | 0.644039i | ||||
\(571\) | −10298.2 | −0.754757 | −0.377379 | − | 0.926059i | \(-0.623174\pi\) | ||||
−0.377379 | + | 0.926059i | \(0.623174\pi\) | |||||||
\(572\) | 6805.70 | + | 5710.66i | 0.497484 | + | 0.417439i | ||||
\(573\) | −38487.5 | + | 14008.3i | −2.80600 | + | 1.02130i | ||||
\(574\) | −32.2520 | − | 182.910i | −0.00234525 | − | 0.0133005i | ||||
\(575\) | −1776.62 | + | 10075.7i | −0.128852 | + | 0.730757i | ||||
\(576\) | −4338.07 | − | 1578.93i | −0.313807 | − | 0.114216i | ||||
\(577\) | −10290.4 | − | 17823.5i | −0.742454 | − | 1.28597i | −0.951375 | − | 0.308036i | \(-0.900328\pi\) |
0.208921 | − | 0.977933i | \(-0.433005\pi\) | |||||||
\(578\) | −1019.96 | + | 1766.63i | −0.0733994 | + | 0.127131i | ||||
\(579\) | −12560.4 | + | 10539.4i | −0.901541 | + | 0.756482i | ||||
\(580\) | 1916.00 | − | 1607.72i | 0.137168 | − | 0.115098i | ||||
\(581\) | −453.780 | + | 785.970i | −0.0324027 | + | 0.0561231i | ||||
\(582\) | −9626.72 | − | 16674.0i | −0.685636 | − | 1.18756i | ||||
\(583\) | −2606.62 | − | 948.732i | −0.185172 | − | 0.0673970i | ||||
\(584\) | −788.071 | + | 4469.37i | −0.0558401 | + | 0.316685i | ||||
\(585\) | −4460.48 | − | 25296.7i | −0.315245 | − | 1.78784i | ||||
\(586\) | 4516.55 | − | 1643.89i | 0.318391 | − | 0.115885i | ||||
\(587\) | 9705.45 | + | 8143.84i | 0.682431 | + | 0.572627i | 0.916715 | − | 0.399541i | \(-0.130830\pi\) |
−0.234285 | + | 0.972168i | \(0.575275\pi\) | |||||||
\(588\) | 11212.6 | 0.786393 | ||||||||
\(589\) | 27278.8 | + | 4239.64i | 1.90833 | + | 0.296589i | ||||
\(590\) | −5576.56 | −0.389124 | ||||||||
\(591\) | 39358.0 | + | 33025.3i | 2.73938 | + | 2.29861i | ||||
\(592\) | −541.593 | + | 197.124i | −0.0376002 | + | 0.0136854i | ||||
\(593\) | −574.939 | − | 3260.64i | −0.0398144 | − | 0.225798i | 0.958408 | − | 0.285403i | \(-0.0921273\pi\) |
−0.998222 | + | 0.0596041i | \(0.981016\pi\) | |||||||
\(594\) | 5547.07 | − | 31459.0i | 0.383163 | − | 2.17303i | ||||
\(595\) | 2619.51 | + | 953.424i | 0.180487 | + | 0.0656917i | ||||
\(596\) | 1471.44 | + | 2548.62i | 0.101129 | + | 0.175160i | ||||
\(597\) | 21450.2 | − | 37152.8i | 1.47051 | − | 2.54701i | ||||
\(598\) | −10586.5 | + | 8883.09i | −0.723934 | + | 0.607453i | ||||
\(599\) | −633.399 | + | 531.485i | −0.0432053 | + | 0.0362535i | −0.664135 | − | 0.747613i | \(-0.731200\pi\) |
0.620929 | + | 0.783867i | \(0.286755\pi\) | |||||||
\(600\) | 3684.82 | − | 6382.30i | 0.250721 | − | 0.434261i | ||||
\(601\) | −1953.51 | − | 3383.58i | −0.132588 | − | 0.229649i | 0.792085 | − | 0.610410i | \(-0.208995\pi\) |
−0.924674 | + | 0.380761i | \(0.875662\pi\) | |||||||
\(602\) | 1158.62 | + | 421.704i | 0.0784417 | + | 0.0285504i | ||||
\(603\) | 6187.65 | − | 35091.9i | 0.417878 | − | 2.36990i | ||||
\(604\) | 772.057 | + | 4378.55i | 0.0520108 | + | 0.294968i | ||||
\(605\) | −362.118 | + | 131.800i | −0.0243342 | + | 0.00885692i | ||||
\(606\) | −21776.8 | − | 18272.9i | −1.45977 | − | 1.22489i | ||||
\(607\) | 25332.2 | 1.69391 | 0.846955 | − | 0.531664i | \(-0.178433\pi\) | ||||
0.846955 | + | 0.531664i | \(0.178433\pi\) | |||||||
\(608\) | −2267.71 | + | 1371.53i | −0.151263 | + | 0.0914850i | ||||
\(609\) | 8564.49 | 0.569870 | ||||||||
\(610\) | −1211.14 | − | 1016.27i | −0.0803898 | − | 0.0674551i | ||||
\(611\) | −13789.3 | + | 5018.89i | −0.913019 | + | 0.332312i | ||||
\(612\) | 3126.12 | + | 17729.1i | 0.206480 | + | 1.17101i | ||||
\(613\) | 3894.75 | − | 22088.2i | 0.256619 | − | 1.45536i | −0.535263 | − | 0.844686i | \(-0.679787\pi\) |
0.791882 | − | 0.610674i | \(-0.209102\pi\) | |||||||
\(614\) | −18815.3 | − | 6848.19i | −1.23668 | − | 0.450115i | ||||
\(615\) | −336.064 | − | 582.080i | −0.0220348 | − | 0.0381654i | ||||
\(616\) | 1114.62 | − | 1930.58i | 0.0729049 | − | 0.126275i | ||||
\(617\) | 2099.59 | − | 1761.77i | 0.136996 | − | 0.114953i | −0.571715 | − | 0.820452i | \(-0.693722\pi\) |
0.708711 | + | 0.705499i | \(0.249277\pi\) | |||||||
\(618\) | 21177.6 | − | 17770.1i | 1.37846 | − | 1.15667i | ||||
\(619\) | −2637.31 | + | 4567.96i | −0.171248 | + | 0.296610i | −0.938856 | − | 0.344309i | \(-0.888113\pi\) |
0.767608 | + | 0.640919i | \(0.221447\pi\) | |||||||
\(620\) | 3799.25 | + | 6580.49i | 0.246099 | + | 0.426256i | ||||
\(621\) | 46693.5 | + | 16995.1i | 3.01731 | + | 1.09821i | ||||
\(622\) | −2034.20 | + | 11536.5i | −0.131132 | + | 0.743684i | ||||
\(623\) | −946.796 | − | 5369.55i | −0.0608870 | − | 0.345307i | ||||
\(624\) | 9354.18 | − | 3404.64i | 0.600107 | − | 0.218421i | ||||
\(625\) | 3447.83 | + | 2893.08i | 0.220661 | + | 0.185157i | ||||
\(626\) | −12256.2 | −0.782521 | ||||||||
\(627\) | −19292.6 | − | 22064.2i | −1.22882 | − | 1.40536i | ||||
\(628\) | −11349.3 | −0.721155 | ||||||||
\(629\) | 1721.73 | + | 1444.70i | 0.109141 | + | 0.0915805i | ||||
\(630\) | −6056.70 | + | 2204.46i | −0.383024 | + | 0.139409i | ||||
\(631\) | 231.284 | + | 1311.68i | 0.0145916 | + | 0.0827530i | 0.991234 | − | 0.132118i | \(-0.0421779\pi\) |
−0.976642 | + | 0.214871i | \(0.931067\pi\) | |||||||
\(632\) | 519.530 | − | 2946.40i | 0.0326991 | − | 0.185446i | ||||
\(633\) | −16871.9 | − | 6140.87i | −1.05940 | − | 0.385589i | ||||
\(634\) | −7728.73 | − | 13386.6i | −0.484144 | − | 0.838561i | ||||
\(635\) | −1463.39 | + | 2534.66i | −0.0914530 | + | 0.158401i | ||||
\(636\) | −2380.93 | + | 1997.84i | −0.148443 | + | 0.124559i | ||||
\(637\) | −13476.7 | + | 11308.3i | −0.838253 | + | 0.703378i | ||||
\(638\) | −3899.96 | + | 6754.92i | −0.242007 | + | 0.419169i | ||||
\(639\) | 3669.93 | + | 6356.51i | 0.227199 | + | 0.393521i | ||||
\(640\) | −685.464 | − | 249.489i | −0.0423365 | − | 0.0154092i | ||||
\(641\) | −380.118 | + | 2155.76i | −0.0234224 | + | 0.132835i | −0.994277 | − | 0.106835i | \(-0.965928\pi\) |
0.970854 | + | 0.239670i | \(0.0770394\pi\) | |||||||
\(642\) | 4873.22 | + | 27637.4i | 0.299581 | + | 1.69901i | ||||
\(643\) | −4235.35 | + | 1541.54i | −0.259760 | + | 0.0945450i | −0.468618 | − | 0.883401i | \(-0.655248\pi\) |
0.208857 | + | 0.977946i | \(0.433026\pi\) | |||||||
\(644\) | 2656.38 | + | 2228.96i | 0.162540 | + | 0.136387i | ||||
\(645\) | 4461.92 | 0.272384 | ||||||||
\(646\) | 9053.54 | + | 4984.25i | 0.551404 | + | 0.303565i | ||||
\(647\) | 18162.4 | 1.10361 | 0.551807 | − | 0.833972i | \(-0.313939\pi\) | ||||
0.551807 | + | 0.833972i | \(0.313939\pi\) | |||||||
\(648\) | −15483.4 | − | 12992.1i | −0.938647 | − | 0.787619i | ||||
\(649\) | 16341.8 | − | 5947.93i | 0.988401 | − | 0.359748i | ||||
\(650\) | 2007.90 | + | 11387.3i | 0.121163 | + | 0.687151i | ||||
\(651\) | −4518.12 | + | 25623.5i | −0.272011 | + | 1.54265i | ||||
\(652\) | −8628.31 | − | 3140.45i | −0.518268 | − | 0.188634i | ||||
\(653\) | 3260.93 | + | 5648.09i | 0.195421 | + | 0.338479i | 0.947038 | − | 0.321120i | \(-0.104059\pi\) |
−0.751618 | + | 0.659599i | \(0.770726\pi\) | |||||||
\(654\) | −5843.11 | + | 10120.6i | −0.349363 | + | 0.605115i | ||||
\(655\) | 3375.69 | − | 2832.54i | 0.201373 | − | 0.168972i | ||||
\(656\) | 145.187 | − | 121.827i | 0.00864118 | − | 0.00725081i | ||||
\(657\) | −20460.0 | + | 35437.8i | −1.21495 | + | 2.10435i | ||||
\(658\) | 1841.05 | + | 3188.78i | 0.109075 | + | 0.188924i | ||||
\(659\) | 1027.89 | + | 374.121i | 0.0607600 | + | 0.0221148i | 0.372221 | − | 0.928144i | \(-0.378596\pi\) |
−0.311461 | + | 0.950259i | \(0.600818\pi\) | |||||||
\(660\) | 1400.86 | − | 7944.66i | 0.0826187 | − | 0.468554i | ||||
\(661\) | −4365.29 | − | 24756.8i | −0.256869 | − | 1.45677i | −0.791230 | − | 0.611518i | \(-0.790559\pi\) |
0.534362 | − | 0.845256i | \(-0.320552\pi\) | |||||||
\(662\) | 7336.15 | − | 2670.14i | 0.430706 | − | 0.156764i | ||||
\(663\) | −29737.1 | − | 24952.4i | −1.74192 | − | 1.46164i | ||||
\(664\) | −926.114 | −0.0541268 | ||||||||
\(665\) | −1194.52 | + | 3502.04i | −0.0696565 | + | 0.204216i | ||||
\(666\) | −5196.70 | −0.302354 | ||||||||
\(667\) | −9294.39 | − | 7798.92i | −0.539551 | − | 0.452737i | ||||
\(668\) | 3333.51 | − | 1213.30i | 0.193080 | − | 0.0702753i | ||||
\(669\) | 5190.23 | + | 29435.3i | 0.299949 | + | 1.70110i | ||||
\(670\) | 977.719 | − | 5544.92i | 0.0563770 | − | 0.319730i | ||||
\(671\) | 4633.14 | + | 1686.33i | 0.266558 | + | 0.0970192i | ||||
\(672\) | −1248.90 | − | 2163.16i | −0.0716927 | − | 0.124175i | ||||
\(673\) | −13756.3 | + | 23826.5i | −0.787912 | + | 1.36470i | 0.139333 | + | 0.990246i | \(0.455504\pi\) |
−0.927244 | + | 0.374457i | \(0.877829\pi\) | |||||||
\(674\) | −14999.5 | + | 12586.1i | −0.857209 | + | 0.719284i | ||||
\(675\) | 31849.3 | − | 26724.7i | 1.81612 | − | 1.52390i | ||||
\(676\) | −3415.34 | + | 5915.54i | −0.194318 | + | 0.336569i | ||||
\(677\) | 16953.0 | + | 29363.4i | 0.962415 | + | 1.66695i | 0.716406 | + | 0.697684i | \(0.245786\pi\) |
0.246009 | + | 0.969268i | \(0.420881\pi\) | |||||||
\(678\) | −8918.15 | − | 3245.94i | −0.505161 | − | 0.183864i | ||||
\(679\) | 1316.26 | − | 7464.88i | 0.0743938 | − | 0.421908i | ||||
\(680\) | 493.962 | + | 2801.40i | 0.0278567 | + | 0.157983i | ||||
\(681\) | −61583.9 | + | 22414.7i | −3.46534 | + | 1.26128i | ||||
\(682\) | −18152.2 | − | 15231.5i | −1.01918 | − | 0.855197i | ||||
\(683\) | −3969.45 | −0.222382 | −0.111191 | − | 0.993799i | \(-0.535467\pi\) | ||||
−0.111191 | + | 0.993799i | \(0.535467\pi\) | |||||||
\(684\) | −23443.4 | + | 4627.41i | −1.31050 | + | 0.258674i | ||||
\(685\) | 2555.20 | 0.142524 | ||||||||
\(686\) | 7501.43 | + | 6294.45i | 0.417502 | + | 0.350325i | ||||
\(687\) | −16946.5 | + | 6168.03i | −0.941121 | + | 0.342540i | ||||
\(688\) | 218.482 | + | 1239.07i | 0.0121069 | + | 0.0686616i | ||||
\(689\) | 846.812 | − | 4802.51i | 0.0468229 | − | 0.265546i | ||||
\(690\) | 11792.0 | + | 4291.94i | 0.650599 | + | 0.236799i | ||||
\(691\) | −10451.7 | − | 18102.9i | −0.575402 | − | 0.996626i | −0.995998 | − | 0.0893776i | \(-0.971512\pi\) |
0.420596 | − | 0.907248i | \(-0.361821\pi\) | |||||||
\(692\) | 1181.95 | − | 2047.19i | 0.0649290 | − | 0.112460i | ||||
\(693\) | 15397.6 | − | 12920.1i | 0.844020 | − | 0.708217i | ||||
\(694\) | 4250.99 | − | 3567.00i | 0.232515 | − | 0.195103i | ||||
\(695\) | 4798.98 | − | 8312.08i | 0.261922 | − | 0.453662i | ||||
\(696\) | 4369.79 | + | 7568.70i | 0.237983 | + | 0.412199i | ||||
\(697\) | −694.520 | − | 252.785i | −0.0377429 | − | 0.0137373i | ||||
\(698\) | −1792.03 | + | 10163.1i | −0.0971769 | + | 0.551117i | ||||
\(699\) | 7591.21 | + | 43051.9i | 0.410767 | + | 2.32957i | ||||
\(700\) | 2726.44 | − | 992.342i | 0.147214 | − | 0.0535815i | ||||
\(701\) | 3888.15 | + | 3262.55i | 0.209491 | + | 0.175784i | 0.741496 | − | 0.670957i | \(-0.234117\pi\) |
−0.532005 | + | 0.846742i | \(0.678561\pi\) | |||||||
\(702\) | 56158.9 | 3.01935 | ||||||||
\(703\) | −1870.73 | + | 2323.89i | −0.100364 | + | 0.124676i | ||||
\(704\) | 2274.82 | 0.121783 | ||||||||
\(705\) | 10207.4 | + | 8565.01i | 0.545294 | + | 0.457556i | ||||
\(706\) | 6268.56 | − | 2281.57i | 0.334165 | − | 0.121626i | ||||
\(707\) | −1943.45 | − | 11021.9i | −0.103382 | − | 0.586308i | ||||
\(708\) | 3383.65 | − | 19189.6i | 0.179612 | − | 1.01863i | ||||
\(709\) | 2751.79 | + | 1001.57i | 0.145763 | + | 0.0530532i | 0.413871 | − | 0.910335i | \(-0.364176\pi\) |
−0.268109 | + | 0.963389i | \(0.586399\pi\) | |||||||
\(710\) | 579.892 | + | 1004.40i | 0.0306520 | + | 0.0530909i | ||||
\(711\) | 13488.1 | − | 23362.1i | 0.711454 | − | 1.23227i | ||||
\(712\) | 4262.15 | − | 3576.37i | 0.224341 | − | 0.188245i | ||||
\(713\) | 28236.2 | − | 23693.0i | 1.48311 | − | 1.24447i | ||||
\(714\) | −4870.27 | + | 8435.56i | −0.255274 | + | 0.442147i | ||||
\(715\) | 6328.75 | + | 10961.7i | 0.331024 | + | 0.573350i | ||||
\(716\) | −3810.73 | − | 1386.99i | −0.198902 | − | 0.0723943i | ||||
\(717\) | 760.455 | − | 4312.75i | 0.0396091 | − | 0.224634i | ||||
\(718\) | −2552.92 | − | 14478.3i | −0.132694 | − | 0.752544i | ||||
\(719\) | −30481.1 | + | 11094.2i | −1.58102 | + | 0.575445i | −0.975426 | − | 0.220328i | \(-0.929287\pi\) |
−0.605595 | + | 0.795773i | \(0.707065\pi\) | |||||||
\(720\) | −5038.41 | − | 4227.73i | −0.260792 | − | 0.218831i | ||||
\(721\) | 10883.9 | 0.562190 | ||||||||
\(722\) | −6369.98 | + | 12149.4i | −0.328346 | + | 0.626250i | ||||
\(723\) | 22772.4 | 1.17139 | ||||||||
\(724\) | 3332.99 | + | 2796.71i | 0.171090 | + | 0.143562i | ||||
\(725\) | −9539.54 | + | 3472.11i | −0.488675 | + | 0.177863i | ||||
\(726\) | −233.821 | − | 1326.06i | −0.0119530 | − | 0.0677890i | ||||
\(727\) | 5539.15 | − | 31414.1i | 0.282580 | − | 1.60259i | −0.431223 | − | 0.902245i | \(-0.641918\pi\) |
0.713804 | − | 0.700346i | \(-0.246971\pi\) | |||||||
\(728\) | 3682.72 | + | 1340.40i | 0.187487 | + | 0.0682398i | ||||
\(729\) | −30721.5 | − | 53211.2i | −1.56081 | − | 2.70341i | ||||
\(730\) | −3232.92 | + | 5599.57i | −0.163912 | + | 0.283903i | ||||
\(731\) | 3758.57 | − | 3153.82i | 0.190172 | − | 0.159573i | ||||
\(732\) | 4231.99 | − | 3551.06i | 0.213687 | − | 0.179305i | ||||
\(733\) | −10125.3 | + | 17537.6i | −0.510215 | + | 0.883718i | 0.489715 | + | 0.871882i | \(0.337101\pi\) |
−0.999930 | + | 0.0118353i | \(0.996233\pi\) | |||||||
\(734\) | 1071.46 | + | 1855.83i | 0.0538806 | + | 0.0933239i | ||||
\(735\) | 15011.4 | + | 5463.70i | 0.753338 | + | 0.274193i | ||||
\(736\) | −614.462 | + | 3484.78i | −0.0307736 | + | 0.174526i | ||||
\(737\) | 3049.03 | + | 17291.9i | 0.152391 | + | 0.864255i | ||||
\(738\) | 1605.84 | − | 584.476i | 0.0800971 | − | 0.0291529i | ||||
\(739\) | −10551.5 | − | 8853.77i | −0.525228 | − | 0.440719i | 0.341222 | − | 0.939983i | \(-0.389159\pi\) |
−0.866450 | + | 0.499264i | \(0.833604\pi\) | |||||||
\(740\) | −821.138 | −0.0407914 | ||||||||
\(741\) | 32310.6 | − | 40137.3i | 1.60184 | − | 1.98985i | ||||
\(742\) | −1223.65 | −0.0605411 | ||||||||
\(743\) | −4752.77 | − | 3988.04i | −0.234673 | − | 0.196914i | 0.517866 | − | 0.855462i | \(-0.326727\pi\) |
−0.752539 | + | 0.658548i | \(0.771171\pi\) | |||||||
\(744\) | −24949.5 | + | 9080.88i | −1.22943 | + | 0.447475i | ||||
\(745\) | 728.070 | + | 4129.09i | 0.0358046 | + | 0.203058i | ||||
\(746\) | −2775.54 | + | 15740.8i | −0.136219 | + | 0.772538i | ||||
\(747\) | −7846.76 | − | 2855.99i | −0.384335 | − | 0.139886i | ||||
\(748\) | −4435.49 | − | 7682.49i | −0.216815 | − | 0.375534i | ||||
\(749\) | −5524.32 | + | 9568.41i | −0.269499 | + | 0.466785i | ||||
\(750\) | 18909.7 | − | 15867.2i | 0.920649 | − | 0.772516i | ||||
\(751\) | −11978.7 | + | 10051.3i | −0.582037 | + | 0.488387i | −0.885615 | − | 0.464420i | \(-0.846263\pi\) |
0.303578 | + | 0.952806i | \(0.401819\pi\) | |||||||
\(752\) | −1878.68 | + | 3253.97i | −0.0911018 | + | 0.157793i | ||||
\(753\) | 16743.5 | + | 29000.6i | 0.810314 | + | 1.40351i | ||||
\(754\) | −12885.5 | − | 4689.93i | −0.622363 | − | 0.226521i | ||||
\(755\) | −1099.96 | + | 6238.20i | −0.0530222 | + | 0.300704i | ||||
\(756\) | −2446.96 | − | 13877.4i | −0.117719 | − | 0.667615i | ||||
\(757\) | 5394.53 | − | 1963.45i | 0.259006 | − | 0.0942705i | −0.209254 | − | 0.977861i | \(-0.567103\pi\) |
0.468260 | + | 0.883591i | \(0.344881\pi\) | |||||||
\(758\) | −17999.6 | − | 15103.5i | −0.862500 | − | 0.723723i | ||||
\(759\) | −39133.6 | −1.87149 | ||||||||
\(760\) | −3704.33 | + | 731.183i | −0.176803 | + | 0.0348984i | ||||
\(761\) | 19056.0 | 0.907725 | 0.453862 | − | 0.891072i | \(-0.350046\pi\) | ||||
0.453862 | + | 0.891072i | \(0.350046\pi\) | |||||||
\(762\) | −7834.14 | − | 6573.62i | −0.372442 | − | 0.312516i | ||||
\(763\) | −4323.37 | + | 1573.58i | −0.205133 | + | 0.0746624i | ||||
\(764\) | −2857.30 | − | 16204.6i | −0.135306 | − | 0.767357i | ||||
\(765\) | −4453.83 | + | 25259.0i | −0.210495 | + | 1.19378i | ||||
\(766\) | 14344.9 | + | 5221.11i | 0.676633 | + | 0.246274i | ||||
\(767\) | 15286.5 | + | 26477.1i | 0.719642 | + | 1.24646i | ||||
\(768\) | 1274.44 | − | 2207.39i | 0.0598792 | − | 0.103714i | ||||
\(769\) | 2397.40 | − | 2011.66i | 0.112422 | − | 0.0943333i | −0.584844 | − | 0.811146i | \(-0.698844\pi\) |
0.697266 | + | 0.716813i | \(0.254400\pi\) | |||||||
\(770\) | 2432.99 | − | 2041.52i | 0.113869 | − | 0.0955473i | ||||
\(771\) | 26240.5 | − | 45449.9i | 1.22572 | − | 2.12301i | ||||
\(772\) | −3293.60 | − | 5704.69i | −0.153548 | − | 0.265954i | ||||
\(773\) | −10320.6 | − | 3756.38i | −0.480213 | − | 0.174783i | 0.0905601 | − | 0.995891i | \(-0.471134\pi\) |
−0.570773 | + | 0.821108i | \(0.693356\pi\) | |||||||
\(774\) | −1969.95 | + | 11172.1i | −0.0914838 | + | 0.518830i | ||||
\(775\) | −5355.47 | − | 30372.4i | −0.248225 | − | 1.40775i | ||||
\(776\) | 7268.52 | − | 2645.53i | 0.336243 | − | 0.122383i | ||||
\(777\) | −2153.92 | − | 1807.35i | −0.0994485 | − | 0.0834472i | ||||
\(778\) | 13882.9 | 0.639750 | ||||||||
\(779\) | 316.708 | − | 928.509i | 0.0145664 | − | 0.0427051i | ||||
\(780\) | 14182.4 | 0.651039 | ||||||||
\(781\) | −2770.63 | − | 2324.84i | −0.126941 | − | 0.106516i | ||||
\(782\) | 12966.9 | − | 4719.55i | 0.592959 | − | 0.215819i | ||||
\(783\) | 8561.69 | + | 48555.7i | 0.390766 | + | 2.21614i | ||||
\(784\) | −782.219 | + | 4436.18i | −0.0356331 | + | 0.202086i | ||||
\(785\) | −15194.4 | − | 5530.30i | −0.690841 | − | 0.251446i | ||||
\(786\) | 7698.87 | + | 13334.8i | 0.349376 | + | 0.605137i | ||||
\(787\) | 4117.14 | − | 7131.09i | 0.186481 | − | 0.322994i | −0.757594 | − | 0.652726i | \(-0.773625\pi\) |
0.944074 | + | 0.329732i | \(0.106959\pi\) | |||||||
\(788\) | −15811.9 | + | 13267.8i | −0.714819 | + | 0.599804i | ||||
\(789\) | −14291.3 | + | 11991.8i | −0.644846 | + | 0.541090i | ||||
\(790\) | 2131.28 | − | 3691.48i | 0.0959841 | − | 0.166249i | ||||
\(791\) | −1868.19 | − | 3235.81i | −0.0839764 | − | 0.145451i | ||||
\(792\) | 19274.1 | + | 7015.19i | 0.864740 | + | 0.314740i | ||||
\(793\) | −1505.17 | + | 8536.23i | −0.0674024 | + | 0.382258i | ||||
\(794\) | −1628.64 | − | 9236.49i | −0.0727939 | − | 0.412835i | ||||
\(795\) | −4161.10 | + | 1514.51i | −0.185634 | + | 0.0675652i | ||||
\(796\) | 13202.8 | + | 11078.5i | 0.587892 | + | 0.493300i | ||||
\(797\) | −27065.1 | −1.20288 | −0.601440 | − | 0.798918i | \(-0.705406\pi\) | ||||
−0.601440 | + | 0.798918i | \(0.705406\pi\) | |||||||
\(798\) | −11326.2 | − | 6235.41i | −0.502434 | − | 0.276605i | ||||
\(799\) | 14652.4 | 0.648765 | ||||||||
\(800\) | 2268.05 | + | 1903.12i | 0.100235 | + | 0.0841069i | ||||
\(801\) | 47141.3 | − | 17158.0i | 2.07947 | − | 0.756865i | ||||
\(802\) | 5158.45 | + | 29255.0i | 0.227121 | + | 1.28807i | ||||
\(803\) | 3501.41 | − | 19857.5i | 0.153875 | − | 0.872671i | ||||
\(804\) | 18487.5 | + | 6728.90i | 0.810950 | + | 0.295162i | ||||
\(805\) | 2470.21 | + | 4278.54i | 0.108154 | + | 0.187327i | ||||
\(806\) | 20829.1 | − | 36077.0i | 0.910265 | − | 1.57662i | ||||
\(807\) | −32760.3 | + | 27489.2i | −1.42902 | + | 1.19909i | ||||
\(808\) | 8748.75 | − | 7341.08i | 0.380916 | − | 0.319626i | ||||
\(809\) | 7678.39 | − | 13299.4i | 0.333693 | − | 0.577973i | −0.649540 | − | 0.760328i | \(-0.725038\pi\) |
0.983233 | + | 0.182354i | \(0.0583718\pi\) | |||||||
\(810\) | −14398.3 | − | 24938.5i | −0.624572 | − | 1.08179i | ||||
\(811\) | 4358.32 | + | 1586.30i | 0.188707 | + | 0.0686837i | 0.434645 | − | 0.900602i | \(-0.356874\pi\) |
−0.245938 | + | 0.969286i | \(0.579096\pi\) | |||||||
\(812\) | −597.481 | + | 3388.48i | −0.0258220 | + | 0.146444i | ||||
\(813\) | −5468.90 | − | 31015.7i | −0.235920 | − | 1.33797i | ||||
\(814\) | 2406.30 | − | 875.822i | 0.103613 | − | 0.0377120i | ||||
\(815\) | −10021.3 | − | 8408.85i | −0.430712 | − | 0.361410i | ||||
\(816\) | −9939.67 | −0.426419 | ||||||||
\(817\) | 4286.87 | + | 4902.74i | 0.183572 | + | 0.209945i | ||||
\(818\) | 14126.9 | 0.603835 | ||||||||
\(819\) | 27069.3 | + | 22713.9i | 1.15492 | + | 0.969093i | ||||
\(820\) | 253.740 | − | 92.3540i | 0.0108061 | − | 0.00393310i | ||||
\(821\) | 1944.57 | + | 11028.2i | 0.0826625 | + | 0.468802i | 0.997837 | + | 0.0657434i | \(0.0209419\pi\) |
−0.915174 | + | 0.403059i | \(0.867947\pi\) | |||||||
\(822\) | −1550.40 | + | 8792.75i | −0.0657863 | + | 0.373093i | ||||
\(823\) | 17650.7 | + | 6424.33i | 0.747588 | + | 0.272100i | 0.687590 | − | 0.726099i | \(-0.258668\pi\) |
0.0599976 | + | 0.998199i | \(0.480891\pi\) | |||||||
\(824\) | 5553.22 | + | 9618.46i | 0.234776 | + | 0.406645i | ||||
\(825\) | −16371.7 | + | 28356.6i | −0.690896 | + | 1.19667i | ||||
\(826\) | 5876.68 | − | 4931.12i | 0.247550 | − | 0.207719i | ||||
\(827\) | −19474.3 | + | 16340.8i | −0.818847 | + | 0.687094i | −0.952702 | − | 0.303907i | \(-0.901709\pi\) |
0.133855 | + | 0.991001i | \(0.457264\pi\) | |||||||
\(828\) | −15952.7 | + | 27630.9i | −0.669560 | + | 1.15971i | ||||
\(829\) | −21804.2 | − | 37765.9i | −0.913498 | − | 1.58222i | −0.809086 | − | 0.587691i | \(-0.800037\pi\) |
−0.104412 | − | 0.994534i | \(-0.533296\pi\) | |||||||
\(830\) | −1239.88 | − | 451.279i | −0.0518516 | − | 0.0188724i | ||||
\(831\) | 4047.92 | − | 22956.9i | 0.168978 | − | 0.958322i | ||||
\(832\) | 694.452 | + | 3938.43i | 0.0289373 | + | 0.164111i | ||||
\(833\) | 16507.0 | − | 6008.06i | 0.686595 | − | 0.249900i | ||||
\(834\) | 25691.0 | + | 21557.3i | 1.06668 | + | 0.895048i | ||||
\(835\) | 5054.11 | 0.209467 | ||||||||
\(836\) | 10075.5 | − | 6093.71i | 0.416827 | − | 0.252100i | ||||
\(837\) | −149787. | −6.18567 | ||||||||
\(838\) | −4114.32 | − | 3452.32i | −0.169602 | − | 0.142313i | ||||
\(839\) | −16053.7 | + | 5843.08i | −0.660592 | + | 0.240436i | −0.650492 | − | 0.759513i | \(-0.725437\pi\) |
−0.0101000 | + | 0.999949i | \(0.503215\pi\) | |||||||
\(840\) | −617.957 | − | 3504.61i | −0.0253828 | − | 0.143953i | ||||
\(841\) | −2144.58 | + | 12162.5i | −0.0879323 | + | 0.498689i | ||||
\(842\) | −8516.38 | − | 3099.71i | −0.348568 | − | 0.126868i | ||||
\(843\) | 41313.1 | + | 71556.3i | 1.68790 | + | 2.92352i | ||||
\(844\) | 3606.62 | − | 6246.85i | 0.147091 | − | 0.254769i | ||||
\(845\) | −7454.98 | + | 6255.47i | −0.303502 | + | 0.254668i | ||||
\(846\) | −25952.4 | + | 21776.7i | −1.05468 | + | 0.884985i | ||||
\(847\) | 265.061 | − | 459.099i | 0.0107528 | − | 0.0186244i | ||||
\(848\) | −624.331 | − | 1081.37i | −0.0252826 | − | 0.0437907i | ||||
\(849\) | 2715.52 | + | 988.368i | 0.109772 | + | 0.0399537i | ||||
\(850\) | 2004.90 | − | 11370.4i | 0.0809031 | − | 0.458824i | ||||
\(851\) | 691.691 | + | 3922.77i | 0.0278623 | + | 0.158015i | ||||
\(852\) | −3808.13 | + | 1386.04i | −0.153127 | + | 0.0557337i | ||||
\(853\) | 19653.1 | + | 16490.9i | 0.788875 | + | 0.661945i | 0.945467 | − | 0.325719i | \(-0.105606\pi\) |
−0.156592 | + | 0.987663i | \(0.550051\pi\) | |||||||
\(854\) | 2174.97 | 0.0871499 | ||||||||
\(855\) | −33640.9 | − | 5228.41i | −1.34561 | − | 0.209132i | ||||
\(856\) | −11274.5 | −0.450181 | ||||||||
\(857\) | −23459.8 | − | 19685.1i | −0.935091 | − | 0.784634i | 0.0416334 | − | 0.999133i | \(-0.486744\pi\) |
−0.976724 | + | 0.214498i | \(0.931188\pi\) | |||||||
\(858\) | −41560.7 | + | 15126.9i | −1.65368 | + | 0.601891i | ||||
\(859\) | −6758.35 | − | 38328.5i | −0.268442 | − | 1.52241i | −0.759051 | − | 0.651031i | \(-0.774337\pi\) |
0.490609 | − | 0.871380i | \(-0.336774\pi\) | |||||||
\(860\) | −311.275 | + | 1765.33i | −0.0123423 | + | 0.0699967i | ||||
\(861\) | 868.859 | + | 316.239i | 0.0343910 | + | 0.0125173i | ||||
\(862\) | −7975.13 | − | 13813.3i | −0.315121 | − | 0.545805i | ||||
\(863\) | 14164.8 | − | 24534.2i | 0.558722 | − | 0.967735i | −0.438881 | − | 0.898545i | \(-0.644625\pi\) |
0.997604 | − | 0.0691899i | \(-0.0220415\pi\) | |||||||
\(864\) | 11015.4 | − | 9243.02i | 0.433740 | − | 0.363951i | ||||
\(865\) | 2579.95 | − | 2164.83i | 0.101411 | − | 0.0850943i | ||||
\(866\) | 12868.7 | − | 22289.3i | 0.504963 | − | 0.874621i | ||||
\(867\) | −5077.64 | − | 8794.73i | −0.198899 | − | 0.344504i | ||||
\(868\) | −9822.57 | − | 3575.12i | −0.384101 | − | 0.139801i | ||||
\(869\) | −2308.28 | + | 13090.9i | −0.0901070 | + | 0.511022i | ||||
\(870\) | 2162.17 | + | 12262.3i | 0.0842580 | + | 0.477851i | ||||
\(871\) | −29007.0 | + | 10557.7i | −1.12843 | + | 0.410716i | ||||
\(872\) | −3596.50 | − | 3017.82i | −0.139671 | − | 0.117198i | ||||
\(873\) | 69743.0 | 2.70383 | ||||||||
\(874\) | 6613.40 | + | 17080.6i | 0.255952 | + | 0.661051i | ||||
\(875\) | 9718.40 | 0.375477 | ||||||||
\(876\) | −17307.2 | − | 14522.5i | −0.667530 | − | 0.560124i | ||||
\(877\) | 38356.7 | − | 13960.7i | 1.47687 | − | 0.537537i | 0.526913 | − | 0.849919i | \(-0.323349\pi\) |
0.949956 | + | 0.312382i | \(0.101127\pi\) | |||||||
\(878\) | −2463.69 | − | 13972.3i | −0.0946988 | − | 0.537064i | ||||
\(879\) | −4154.98 | + | 23564.1i | −0.159436 | + | 0.904205i | ||||
\(880\) | 3045.52 | + | 1108.48i | 0.116664 | + | 0.0424623i | ||||
\(881\) | −14688.4 | − | 25441.0i | −0.561708 | − | 0.972906i | −0.997348 | − | 0.0727851i | \(-0.976811\pi\) |
0.435640 | − | 0.900121i | \(-0.356522\pi\) | |||||||
\(882\) | −20308.1 | + | 35174.6i | −0.775293 | + | 1.34285i | ||||
\(883\) | −19313.7 | + | 16206.1i | −0.736078 | + | 0.617643i | −0.931781 | − | 0.363021i | \(-0.881745\pi\) |
0.195703 | + | 0.980663i | \(0.437301\pi\) | |||||||
\(884\) | 11946.8 | − | 10024.5i | 0.454540 | − | 0.381404i | ||||
\(885\) | 13880.8 | − | 24042.2i | 0.527229 | − | 0.913187i | ||||
\(886\) | 10093.8 | + | 17483.0i | 0.382742 | + | 0.662928i | ||||
\(887\) | −2758.81 | − | 1004.12i | −0.104433 | − | 0.0380104i | 0.289275 | − | 0.957246i | \(-0.406586\pi\) |
−0.393708 | + | 0.919236i | \(0.628808\pi\) | |||||||
\(888\) | 498.236 | − | 2825.64i | 0.0188285 | − | 0.106782i | ||||
\(889\) | −699.151 | − | 3965.08i | −0.0263766 | − | 0.149589i | ||||
\(890\) | 7448.86 | − | 2711.16i | 0.280547 | − | 0.102111i | ||||
\(891\) | 68792.6 | + | 57723.9i | 2.58658 | + | 2.17040i | ||||
\(892\) | −12007.9 | −0.450735 | ||||||||
\(893\) | 395.717 | + | 19444.8i | 0.0148289 | + | 0.728663i | ||||
\(894\) | −14650.5 | −0.548082 | ||||||||
\(895\) | −4425.94 | − | 3713.80i | −0.165299 | − | 0.138703i | ||||
\(896\) | 942.968 | − | 343.212i | 0.0351589 | − | 0.0127968i | ||||
\(897\) | −11946.6 | − | 67752.6i | −0.444689 | − | 2.52195i | ||||
\(898\) | 2186.56 | − | 12400.6i | 0.0812543 | − | 0.460816i | ||||
\(899\) | 34368.2 | + | 12509.0i | 1.27502 | + | 0.464069i | ||||
\(900\) | 13347.8 | + | 23119.1i | 0.494363 | + | 0.856261i | ||||
\(901\) | −2434.66 | + | 4216.96i | −0.0900227 | + | 0.155924i | ||||
\(902\) | −645.068 | + | 541.277i | −0.0238120 | + | 0.0199806i | ||||
\(903\) | −4702.05 | + | 3945.49i | −0.173283 | + | 0.145402i | ||||
\(904\) | 1906.39 | − | 3301.96i | 0.0701388 | − | 0.121484i | ||||
\(905\) | 3099.41 | + | 5368.33i | 0.113843 | + | 0.197182i | ||||
\(906\) | −20799.0 | − | 7570.22i | −0.762694 | − | 0.277598i | ||||
\(907\) | −6812.73 | + | 38636.9i | −0.249408 | + | 1.41446i | 0.560621 | + | 0.828073i | \(0.310563\pi\) |
−0.810029 | + | 0.586390i | \(0.800549\pi\) | |||||||
\(908\) | −4571.97 | − | 25928.9i | −0.167099 | − | 0.947668i | ||||
\(909\) | 96765.0 | − | 35219.6i | 3.53080 | − | 1.28510i | ||||
\(910\) | 4277.27 | + | 3589.05i | 0.155813 | + | 0.130743i | ||||
\(911\) | −45768.5 | −1.66452 | −0.832260 | − | 0.554386i | \(-0.812953\pi\) | ||||
−0.832260 | + | 0.554386i | \(0.812953\pi\) | |||||||
\(912\) | −268.441 | − | 13190.7i | −0.00974669 | − | 0.478934i | ||||
\(913\) | 4114.73 | 0.149154 | ||||||||
\(914\) | 9865.10 | + | 8277.80i | 0.357011 | + | 0.299568i | ||||
\(915\) | 7396.15 | − | 2691.98i | 0.267223 | − | 0.0972612i | ||||
\(916\) | −1258.11 | − | 7135.07i | −0.0453810 | − | 0.257368i | ||||
\(917\) | −1052.67 | + | 5969.97i | −0.0379085 | + | 0.214990i | ||||
\(918\) | −52693.4 | − | 19178.8i | −1.89449 | − | 0.689538i | ||||
\(919\) | 3782.53 | + | 6551.53i | 0.135772 | + | 0.235163i | 0.925892 | − | 0.377789i | \(-0.123315\pi\) |
−0.790120 | + | 0.612952i | \(0.789982\pi\) | |||||||
\(920\) | −2520.71 | + | 4366.01i | −0.0903321 | + | 0.156460i | ||||
\(921\) | 76358.3 | − | 64072.2i | 2.73191 | − | 2.29235i | ||||
\(922\) | −17704.6 | + | 14855.9i | −0.632396 | + | 0.530643i | ||||
\(923\) | 3179.21 | − | 5506.56i | 0.113375 | − | 0.196371i | ||||
\(924\) | 5548.89 | + | 9610.95i | 0.197559 | + | 0.342183i | ||||
\(925\) | 3131.86 | + | 1139.90i | 0.111324 | + | 0.0405187i | ||||
\(926\) | 2773.95 | − | 15731.9i | 0.0984426 | − | 0.558296i | ||||
\(927\) | 17389.4 | + | 98620.5i | 0.616121 | + | 3.49420i | ||||
\(928\) | −3299.35 | + | 1200.87i | −0.116710 | + | 0.0424788i | ||||
\(929\) | −15951.0 | − | 13384.5i | −0.563332 | − | 0.472692i | 0.316093 | − | 0.948728i | \(-0.397629\pi\) |
−0.879426 | + | 0.476036i | \(0.842073\pi\) | |||||||
\(930\) | −37827.3 | −1.33377 | ||||||||
\(931\) | 8418.96 | + | 21743.8i | 0.296370 | + | 0.765440i | ||||
\(932\) | −17562.8 | −0.617261 | ||||||||
\(933\) | −44674.0 | − | 37485.9i | −1.56759 | − | 1.31536i | ||||
\(934\) | 28956.3 | − | 10539.2i | 1.01443 | − | 0.369223i | ||||
\(935\) | −2194.68 | − | 12446.6i | −0.0767632 | − | 0.435346i | ||||
\(936\) | −6261.56 | + | 35511.1i | −0.218660 | + | 1.24008i | ||||
\(937\) | −1115.51 | − | 406.011i | −0.0388922 | − | 0.0141556i | 0.322501 | − | 0.946569i | \(-0.395476\pi\) |
−0.361393 | + | 0.932414i | \(0.617699\pi\) | |||||||
\(938\) | 3872.81 | + | 6707.90i | 0.134810 | + | 0.233497i | ||||
\(939\) | 30507.4 | − | 52840.4i | 1.06025 | − | 1.83640i | ||||
\(940\) | −4100.78 | + | 3440.96i | −0.142290 | + | 0.119396i | ||||
\(941\) | −27221.5 | + | 22841.6i | −0.943036 | + | 0.791301i | −0.978111 | − | 0.208084i | \(-0.933277\pi\) |
0.0350751 | + | 0.999385i | \(0.488833\pi\) | |||||||
\(942\) | 28249.8 | − | 48930.1i | 0.977101 | − | 1.69239i | ||||
\(943\) | −654.937 | − | 1134.38i | −0.0226168 | − | 0.0391735i | ||||
\(944\) | 7356.19 | + | 2677.43i | 0.253627 | + | 0.0923126i | ||||
\(945\) | 3486.24 | − | 19771.4i | 0.120008 | − | 0.680597i | ||||
\(946\) | −970.716 | − | 5505.20i | −0.0333623 | − | 0.189207i | ||||
\(947\) | 20129.0 | − | 7326.37i | 0.690714 | − | 0.251399i | 0.0272731 | − | 0.999628i | \(-0.491318\pi\) |
0.663441 | + | 0.748229i | \(0.269095\pi\) | |||||||
\(948\) | 11409.7 | + | 9573.84i | 0.390895 | + | 0.328000i | ||||
\(949\) | 35448.5 | 1.21255 | ||||||||
\(950\) | 15143.5 | + | 2353.58i | 0.517179 | + | 0.0803792i | ||||
\(951\) | 76951.3 | 2.62389 | ||||||||
\(952\) | −2997.71 | − | 2515.38i | −0.102055 | − | 0.0856342i | ||||
\(953\) | −3608.04 | + | 1313.22i | −0.122640 | + | 0.0446373i | −0.402611 | − | 0.915371i | \(-0.631897\pi\) |
0.279971 | + | 0.960008i | \(0.409675\pi\) | |||||||
\(954\) | −1955.04 | − | 11087.6i | −0.0663488 | − | 0.376283i | ||||
\(955\) | 4070.85 | − | 23087.0i | 0.137937 | − | 0.782279i | ||||
\(956\) | 1653.26 | + | 601.738i | 0.0559312 | + | 0.0203573i | ||||
\(957\) | −19415.0 | − | 33627.8i | −0.655797 | − | 1.13587i | ||||
\(958\) | −18299.8 | + | 31696.2i | −0.617161 | + | 1.06895i | ||||
\(959\) | −2692.71 | + | 2259.46i | −0.0906697 | + | 0.0760809i | ||||
\(960\) | 2781.83 | − | 2334.23i | 0.0935242 | − | 0.0784761i | ||||
\(961\) | −40659.9 | + | 70425.1i | −1.36484 | + | 2.36397i | ||||
\(962\) | 2250.92 | + | 3898.70i | 0.0754391 | + | 0.130664i | ||||
\(963\) | −95526.6 | − | 34768.8i | −3.19658 | − | 1.16346i | ||||
\(964\) | −1588.66 | + | 9009.75i | −0.0530782 | + | 0.301021i | ||||
\(965\) | −1629.67 | − | 9242.34i | −0.0543638 | − | 0.308312i | ||||
\(966\) | −16221.8 | + | 5904.25i | −0.540298 | + | 0.196652i | ||||
\(967\) | −7457.92 | − | 6257.94i | −0.248015 | − | 0.208109i | 0.510302 | − | 0.859995i | \(-0.329534\pi\) |
−0.758317 | + | 0.651886i | \(0.773978\pi\) | |||||||
\(968\) | 540.960 | 0.0179619 | ||||||||
\(969\) | −44024.1 | + | 26626.1i | −1.45950 | + | 0.882717i | ||||
\(970\) | 11020.2 | 0.364781 | ||||||||
\(971\) | 1438.05 | + | 1206.66i | 0.0475274 | + | 0.0398802i | 0.666242 | − | 0.745736i | \(-0.267902\pi\) |
−0.618715 | + | 0.785616i | \(0.712346\pi\) | |||||||
\(972\) | 48948.5 | − | 17815.8i | 1.61525 | − | 0.587904i | ||||
\(973\) | 2292.77 | + | 13003.0i | 0.0755426 | + | 0.428423i | ||||
\(974\) | −2713.56 | + | 15389.4i | −0.0892692 | + | 0.506271i | ||||
\(975\) | −54092.2 | − | 19688.0i | −1.77676 | − | 0.646686i | ||||
\(976\) | 1109.72 | + | 1922.09i | 0.0363947 | + | 0.0630374i | ||||
\(977\) | 4164.93 | − | 7213.86i | 0.136385 | − | 0.236225i | −0.789741 | − | 0.613441i | \(-0.789785\pi\) |
0.926126 | + | 0.377215i | \(0.123118\pi\) | |||||||
\(978\) | 35016.4 | − | 29382.3i | 1.14489 | − | 0.960676i | ||||
\(979\) | −18936.8 | + | 15889.8i | −0.618204 | + | 0.518735i | ||||
\(980\) | −3208.91 | + | 5557.99i | −0.104597 | + | 0.181167i | ||||
\(981\) | −21165.9 | − | 36660.4i | −0.688863 | − | 1.19315i | ||||
\(982\) | 9269.33 | + | 3373.76i | 0.301218 | + | 0.109634i | ||||
\(983\) | −4455.37 | + | 25267.7i | −0.144562 | + | 0.819851i | 0.823156 | + | 0.567815i | \(0.192211\pi\) |
−0.967718 | + | 0.252036i | \(0.918900\pi\) | |||||||
\(984\) | 163.841 | + | 929.189i | 0.00530799 | + | 0.0301031i | ||||
\(985\) | −27634.2 | + | 10058.0i | −0.893906 | + | 0.325355i | ||||
\(986\) | 10488.7 | + | 8801.05i | 0.338770 | + | 0.284262i | ||||
\(987\) | −18330.4 | −0.591149 | ||||||||
\(988\) | 13626.0 | + | 15583.5i | 0.438765 | + | 0.501800i | ||||
\(989\) | 8695.60 | 0.279579 | ||||||||
\(990\) | 22385.7 | + | 18783.8i | 0.718651 | + | 0.603019i | ||||
\(991\) | 51205.3 | − | 18637.2i | 1.64136 | − | 0.597406i | 0.654084 | − | 0.756422i | \(-0.273054\pi\) |
0.987276 | + | 0.159015i | \(0.0508319\pi\) | |||||||
\(992\) | −1852.25 | − | 10504.6i | −0.0592831 | − | 0.336211i | ||||
\(993\) | −6748.86 | + | 38274.7i | −0.215678 | + | 1.22317i | ||||
\(994\) | −1499.25 | − | 545.683i | −0.0478404 | − | 0.0174125i | ||||
\(995\) | 12277.6 | + | 21265.4i | 0.391181 | + | 0.677545i | ||||
\(996\) | 2305.22 | − | 3992.76i | 0.0733370 | − | 0.127023i | ||||
\(997\) | −22426.5 | + | 18818.1i | −0.712391 | + | 0.597767i | −0.925269 | − | 0.379312i | \(-0.876161\pi\) |
0.212878 | + | 0.977079i | \(0.431716\pi\) | |||||||
\(998\) | −3112.29 | + | 2611.52i | −0.0987152 | + | 0.0828318i | ||||
\(999\) | 8093.45 | − | 14018.3i | 0.256322 | − | 0.443962i |
(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 | 38.4.e.b.35.3 | yes | 18 | |
19.5 | even | 9 | 722.4.a.t.1.1 | 9 | |||
19.6 | even | 9 | inner | 38.4.e.b.25.3 | ✓ | 18 | |
19.14 | odd | 18 | 722.4.a.u.1.9 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.25.3 | ✓ | 18 | 19.6 | even | 9 | inner | |
38.4.e.b.35.3 | yes | 18 | 1.1 | even | 1 | trivial | |
722.4.a.t.1.1 | 9 | 19.5 | even | 9 | |||
722.4.a.u.1.9 | 9 | 19.14 | odd | 18 |