Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [19,4,Mod(4,19)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(19, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("19.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 19.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.12103629011\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 19.9 |
Dual form | 19.4.e.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.851642 | − | 4.82990i | −0.301101 | − | 1.70763i | −0.641314 | − | 0.767279i | \(-0.721610\pi\) |
0.340213 | − | 0.940348i | \(-0.389501\pi\) | |||||||
\(3\) | 0.458552 | − | 0.384771i | 0.0882483 | − | 0.0740492i | −0.597596 | − | 0.801797i | \(-0.703877\pi\) |
0.685845 | + | 0.727748i | \(0.259433\pi\) | |||||||
\(4\) | −15.0851 | + | 5.49052i | −1.88564 | + | 0.686315i | ||||
\(5\) | 6.94640 | + | 2.52828i | 0.621305 | + | 0.226137i | 0.633442 | − | 0.773790i | \(-0.281641\pi\) |
−0.0121374 | + | 0.999926i | \(0.503864\pi\) | |||||||
\(6\) | −2.24893 | − | 1.88707i | −0.153020 | − | 0.128399i | ||||
\(7\) | 14.5751 | − | 25.2448i | 0.786981 | − | 1.36309i | −0.140827 | − | 0.990034i | \(-0.544976\pi\) |
0.927808 | − | 0.373057i | \(-0.121691\pi\) | |||||||
\(8\) | 19.7481 | + | 34.2048i | 0.872752 | + | 1.51165i | ||||
\(9\) | −4.62628 | + | 26.2369i | −0.171344 | + | 0.971738i | ||||
\(10\) | 6.29551 | − | 35.7036i | 0.199081 | − | 1.12905i | ||||
\(11\) | 26.3895 | + | 45.7080i | 0.723341 | + | 1.25286i | 0.959653 | + | 0.281186i | \(0.0907277\pi\) |
−0.236313 | + | 0.971677i | \(0.575939\pi\) | |||||||
\(12\) | −4.80470 | + | 8.32199i | −0.115583 | + | 0.200196i | ||||
\(13\) | −30.9868 | − | 26.0010i | −0.661092 | − | 0.554722i | 0.249322 | − | 0.968421i | \(-0.419792\pi\) |
−0.910414 | + | 0.413698i | \(0.864237\pi\) | |||||||
\(14\) | −134.343 | − | 48.8967i | −2.56461 | − | 0.933443i | ||||
\(15\) | 4.15809 | − | 1.51342i | 0.0715744 | − | 0.0260509i | ||||
\(16\) | 50.0074 | − | 41.9612i | 0.781366 | − | 0.655644i | ||||
\(17\) | −0.0277382 | − | 0.157311i | −0.000395736 | − | 0.00224433i | 0.984609 | − | 0.174770i | \(-0.0559183\pi\) |
−0.985005 | + | 0.172526i | \(0.944807\pi\) | |||||||
\(18\) | 130.662 | 1.71096 | ||||||||
\(19\) | −13.4549 | + | 81.7188i | −0.162461 | + | 0.986715i | ||||
\(20\) | −118.669 | −1.32676 | ||||||||
\(21\) | −3.03002 | − | 17.1841i | −0.0314860 | − | 0.178566i | ||||
\(22\) | 198.291 | − | 166.386i | 1.92162 | − | 1.61243i | ||||
\(23\) | −39.4491 | + | 14.3583i | −0.357640 | + | 0.130170i | −0.514590 | − | 0.857436i | \(-0.672056\pi\) |
0.156950 | + | 0.987606i | \(0.449834\pi\) | |||||||
\(24\) | 22.2165 | + | 8.08616i | 0.188955 | + | 0.0687742i | ||||
\(25\) | −53.8953 | − | 45.2235i | −0.431162 | − | 0.361788i | ||||
\(26\) | −99.1927 | + | 171.807i | −0.748204 | + | 1.29593i | ||||
\(27\) | 16.0549 | + | 27.8079i | 0.114436 | + | 0.198208i | ||||
\(28\) | −81.2594 | + | 460.845i | −0.548450 | + | 3.11041i | ||||
\(29\) | 11.8095 | − | 66.9751i | 0.0756197 | − | 0.428861i | −0.923370 | − | 0.383912i | \(-0.874577\pi\) |
0.998989 | − | 0.0449484i | \(-0.0143123\pi\) | |||||||
\(30\) | −10.8509 | − | 18.7943i | −0.0660364 | − | 0.114378i | ||||
\(31\) | 108.113 | − | 187.257i | 0.626377 | − | 1.08492i | −0.361896 | − | 0.932219i | \(-0.617870\pi\) |
0.988273 | − | 0.152698i | \(-0.0487963\pi\) | |||||||
\(32\) | −3.20963 | − | 2.69320i | −0.0177309 | − | 0.0148780i | ||||
\(33\) | 29.6881 | + | 10.8056i | 0.156607 | + | 0.0570003i | ||||
\(34\) | −0.736175 | + | 0.267946i | −0.00371332 | + | 0.00135154i | ||||
\(35\) | 165.071 | − | 138.511i | 0.797200 | − | 0.668930i | ||||
\(36\) | −74.2667 | − | 421.187i | −0.343827 | − | 1.94994i | ||||
\(37\) | −288.898 | −1.28363 | −0.641817 | − | 0.766858i | \(-0.721819\pi\) | ||||
−0.641817 | + | 0.766858i | \(0.721819\pi\) | |||||||
\(38\) | 406.152 | − | 4.60942i | 1.73386 | − | 0.0196775i | ||||
\(39\) | −24.2135 | −0.0994170 | ||||||||
\(40\) | 50.6991 | + | 287.529i | 0.200406 | + | 1.13656i | ||||
\(41\) | −24.4278 | + | 20.4974i | −0.0930485 | + | 0.0780769i | −0.688125 | − | 0.725592i | \(-0.741566\pi\) |
0.595077 | + | 0.803669i | \(0.297122\pi\) | |||||||
\(42\) | −80.4171 | + | 29.2694i | −0.295444 | + | 0.107533i | ||||
\(43\) | 128.653 | + | 46.8260i | 0.456266 | + | 0.166067i | 0.559921 | − | 0.828546i | \(-0.310831\pi\) |
−0.103655 | + | 0.994613i | \(0.533054\pi\) | |||||||
\(44\) | −649.050 | − | 544.617i | −2.22382 | − | 1.86600i | ||||
\(45\) | −98.4704 | + | 170.556i | −0.326202 | + | 0.564999i | ||||
\(46\) | 102.946 | + | 178.307i | 0.329968 | + | 0.571521i | ||||
\(47\) | −32.7846 | + | 185.931i | −0.101747 | + | 0.577038i | 0.890722 | + | 0.454548i | \(0.150199\pi\) |
−0.992470 | + | 0.122490i | \(0.960912\pi\) | |||||||
\(48\) | 6.78555 | − | 38.4828i | 0.0204044 | − | 0.115719i | ||||
\(49\) | −253.367 | − | 438.844i | −0.738679 | − | 1.27943i | ||||
\(50\) | −172.526 | + | 298.823i | −0.487976 | + | 0.845199i | ||||
\(51\) | −0.0732482 | − | 0.0614625i | −0.000201114 | − | 0.000168754i | ||||
\(52\) | 610.199 | + | 222.094i | 1.62729 | + | 0.592287i | ||||
\(53\) | −31.5953 | + | 11.4998i | −0.0818859 | + | 0.0298040i | −0.382638 | − | 0.923898i | \(-0.624984\pi\) |
0.300752 | + | 0.953702i | \(0.402762\pi\) | |||||||
\(54\) | 120.636 | − | 101.226i | 0.304009 | − | 0.255094i | ||||
\(55\) | 67.7495 | + | 384.227i | 0.166097 | + | 0.941984i | ||||
\(56\) | 1151.32 | 2.74736 | ||||||||
\(57\) | 25.2732 | + | 42.6494i | 0.0587285 | + | 0.0991061i | ||||
\(58\) | −333.540 | −0.755103 | ||||||||
\(59\) | 50.5342 | + | 286.594i | 0.111508 | + | 0.632395i | 0.988420 | + | 0.151743i | \(0.0484888\pi\) |
−0.876912 | + | 0.480652i | \(0.840400\pi\) | |||||||
\(60\) | −54.4157 | + | 45.6602i | −0.117084 | + | 0.0982452i | ||||
\(61\) | −10.9927 | + | 4.00101i | −0.0230732 | + | 0.00839798i | −0.353531 | − | 0.935423i | \(-0.615019\pi\) |
0.330458 | + | 0.943821i | \(0.392797\pi\) | |||||||
\(62\) | −996.508 | − | 362.699i | −2.04124 | − | 0.742949i | ||||
\(63\) | 594.918 | + | 499.195i | 1.18972 | + | 0.998297i | ||||
\(64\) | 250.846 | − | 434.478i | 0.489933 | − | 0.848589i | ||||
\(65\) | −149.509 | − | 258.957i | −0.285297 | − | 0.494149i | ||||
\(66\) | 26.9063 | − | 152.593i | 0.0501808 | − | 0.284589i | ||||
\(67\) | 61.8269 | − | 350.638i | 0.112737 | − | 0.639362i | −0.875109 | − | 0.483926i | \(-0.839211\pi\) |
0.987846 | − | 0.155436i | \(-0.0496784\pi\) | |||||||
\(68\) | 1.28216 | + | 2.22076i | 0.00228653 | + | 0.00396039i | ||||
\(69\) | −12.5648 | + | 21.7629i | −0.0219221 | + | 0.0379702i | ||||
\(70\) | −809.573 | − | 679.313i | −1.38232 | − | 1.15991i | ||||
\(71\) | −237.468 | − | 86.4315i | −0.396934 | − | 0.144472i | 0.135838 | − | 0.990731i | \(-0.456627\pi\) |
−0.532772 | + | 0.846259i | \(0.678850\pi\) | |||||||
\(72\) | −988.789 | + | 359.890i | −1.61847 | + | 0.589075i | ||||
\(73\) | −619.706 | + | 519.995i | −0.993577 | + | 0.833710i | −0.986082 | − | 0.166262i | \(-0.946830\pi\) |
−0.00749546 | + | 0.999972i | \(0.502386\pi\) | |||||||
\(74\) | 246.037 | + | 1395.35i | 0.386503 | + | 2.19197i | ||||
\(75\) | −42.1145 | −0.0648395 | ||||||||
\(76\) | −245.711 | − | 1306.61i | −0.370855 | − | 1.97209i | ||||
\(77\) | 1538.52 | 2.27702 | ||||||||
\(78\) | 20.6212 | + | 116.949i | 0.0299345 | + | 0.169767i | ||||
\(79\) | 540.834 | − | 453.814i | 0.770235 | − | 0.646304i | −0.170534 | − | 0.985352i | \(-0.554549\pi\) |
0.940769 | + | 0.339048i | \(0.110105\pi\) | |||||||
\(80\) | 453.461 | − | 165.046i | 0.633732 | − | 0.230659i | ||||
\(81\) | −657.883 | − | 239.450i | −0.902446 | − | 0.328463i | ||||
\(82\) | 119.804 | + | 100.528i | 0.161343 | + | 0.135383i | ||||
\(83\) | 608.912 | − | 1054.67i | 0.805263 | − | 1.39476i | −0.110851 | − | 0.993837i | \(-0.535358\pi\) |
0.916113 | − | 0.400919i | \(-0.131309\pi\) | |||||||
\(84\) | 140.058 | + | 242.588i | 0.181924 | + | 0.315101i | ||||
\(85\) | 0.205047 | − | 1.16288i | 0.000261652 | − | 0.00148390i | ||||
\(86\) | 116.598 | − | 661.261i | 0.146199 | − | 0.829136i | ||||
\(87\) | −20.3548 | − | 35.2555i | −0.0250834 | − | 0.0434458i | ||||
\(88\) | −1042.29 | + | 1805.30i | −1.26259 | + | 2.18688i | ||||
\(89\) | 895.877 | + | 751.730i | 1.06700 | + | 0.895318i | 0.994777 | − | 0.102071i | \(-0.0325469\pi\) |
0.0722208 | + | 0.997389i | \(0.476991\pi\) | |||||||
\(90\) | 907.628 | + | 330.350i | 1.06303 | + | 0.386910i | ||||
\(91\) | −1108.03 | + | 403.289i | −1.27640 | + | 0.464573i | ||||
\(92\) | 516.259 | − | 433.193i | 0.585041 | − | 0.490907i | ||||
\(93\) | −22.4757 | − | 127.466i | −0.0250604 | − | 0.142125i | ||||
\(94\) | 925.947 | 1.01600 | ||||||||
\(95\) | −300.071 | + | 533.634i | −0.324070 | + | 0.576313i | ||||
\(96\) | −2.50805 | −0.00266642 | ||||||||
\(97\) | −69.0328 | − | 391.505i | −0.0722600 | − | 0.409807i | −0.999385 | − | 0.0350556i | \(-0.988839\pi\) |
0.927125 | − | 0.374751i | \(-0.122272\pi\) | |||||||
\(98\) | −1903.80 | + | 1597.48i | −1.96237 | + | 1.64663i | ||||
\(99\) | −1321.32 | + | 480.923i | −1.34139 | + | 0.488228i | ||||
\(100\) | 1061.32 | + | 386.287i | 1.06132 | + | 0.386287i | ||||
\(101\) | −264.263 | − | 221.743i | −0.260348 | − | 0.218458i | 0.503265 | − | 0.864132i | \(-0.332132\pi\) |
−0.763613 | + | 0.645674i | \(0.776576\pi\) | |||||||
\(102\) | −0.234477 | + | 0.406126i | −0.000227614 | + | 0.000394239i | ||||
\(103\) | −412.120 | − | 713.813i | −0.394247 | − | 0.682855i | 0.598758 | − | 0.800930i | \(-0.295661\pi\) |
−0.993005 | + | 0.118075i | \(0.962328\pi\) | |||||||
\(104\) | 277.427 | − | 1573.37i | 0.261577 | − | 1.48348i | ||||
\(105\) | 22.3986 | − | 127.029i | 0.0208179 | − | 0.118064i | ||||
\(106\) | 82.4506 | + | 142.809i | 0.0755501 | + | 0.130857i | ||||
\(107\) | 166.554 | − | 288.479i | 0.150480 | − | 0.260639i | −0.780924 | − | 0.624626i | \(-0.785251\pi\) |
0.931404 | + | 0.363987i | \(0.118585\pi\) | |||||||
\(108\) | −394.869 | − | 331.334i | −0.351817 | − | 0.295210i | ||||
\(109\) | 1381.61 | + | 502.866i | 1.21408 | + | 0.441889i | 0.868117 | − | 0.496360i | \(-0.165330\pi\) |
0.345962 | + | 0.938248i | \(0.387553\pi\) | |||||||
\(110\) | 1798.08 | − | 654.447i | 1.55855 | − | 0.567264i | ||||
\(111\) | −132.475 | + | 111.159i | −0.113279 | + | 0.0950521i | ||||
\(112\) | −330.440 | − | 1874.02i | −0.278782 | − | 1.58105i | ||||
\(113\) | −2149.63 | −1.78956 | −0.894778 | − | 0.446511i | \(-0.852666\pi\) | ||||
−0.894778 | + | 0.446511i | \(0.852666\pi\) | |||||||
\(114\) | 184.468 | − | 158.389i | 0.151553 | − | 0.130127i | ||||
\(115\) | −310.331 | −0.251640 | ||||||||
\(116\) | 189.581 | + | 1075.17i | 0.151742 | + | 0.860574i | ||||
\(117\) | 825.541 | − | 692.711i | 0.652319 | − | 0.547361i | ||||
\(118\) | 1341.18 | − | 488.150i | 1.04632 | − | 0.380829i | ||||
\(119\) | −4.37558 | − | 1.59258i | −0.00337066 | − | 0.00122682i | ||||
\(120\) | 133.881 | + | 112.339i | 0.101847 | + | 0.0854595i | ||||
\(121\) | −727.316 | + | 1259.75i | −0.546444 | + | 0.946468i | ||||
\(122\) | 28.6863 | + | 49.6861i | 0.0212880 | + | 0.0368719i | ||||
\(123\) | −3.31464 | + | 18.7982i | −0.00242984 | + | 0.0137803i | ||||
\(124\) | −602.755 | + | 3418.39i | −0.436524 | + | 2.47565i | ||||
\(125\) | −722.053 | − | 1250.63i | −0.516659 | − | 0.894880i | ||||
\(126\) | 1904.41 | − | 3298.53i | 1.34649 | − | 2.33219i | ||||
\(127\) | −581.035 | − | 487.547i | −0.405973 | − | 0.340652i | 0.416824 | − | 0.908987i | \(-0.363143\pi\) |
−0.822797 | + | 0.568336i | \(0.807588\pi\) | |||||||
\(128\) | −2343.61 | − | 853.005i | −1.61834 | − | 0.589029i | ||||
\(129\) | 77.0115 | − | 28.0299i | 0.0525619 | − | 0.0191310i | ||||
\(130\) | −1123.41 | + | 942.652i | −0.757919 | + | 0.635970i | ||||
\(131\) | 0.740327 | + | 4.19860i | 0.000493761 | + | 0.00280026i | 0.985054 | − | 0.172248i | \(-0.0551030\pi\) |
−0.984560 | + | 0.175048i | \(0.943992\pi\) | |||||||
\(132\) | −507.176 | −0.334424 | ||||||||
\(133\) | 1866.87 | + | 1530.73i | 1.21713 | + | 0.997976i | ||||
\(134\) | −1746.20 | −1.12574 | ||||||||
\(135\) | 41.2175 | + | 233.756i | 0.0262773 | + | 0.149026i | ||||
\(136\) | 4.83302 | − | 4.05538i | 0.00304726 | − | 0.00255696i | ||||
\(137\) | 826.086 | − | 300.671i | 0.515163 | − | 0.187504i | −0.0713386 | − | 0.997452i | \(-0.522727\pi\) |
0.586501 | + | 0.809948i | \(0.300505\pi\) | |||||||
\(138\) | 115.813 | + | 42.1526i | 0.0714397 | + | 0.0260019i | ||||
\(139\) | 1508.17 | + | 1265.50i | 0.920295 | + | 0.772219i | 0.974049 | − | 0.226335i | \(-0.0726745\pi\) |
−0.0537547 | + | 0.998554i | \(0.517119\pi\) | |||||||
\(140\) | −1729.61 | + | 2995.77i | −1.04413 | + | 1.80849i | ||||
\(141\) | 56.5072 | + | 97.8734i | 0.0337501 | + | 0.0584569i | ||||
\(142\) | −215.217 | + | 1220.56i | −0.127188 | + | 0.721316i | ||||
\(143\) | 370.728 | − | 2102.50i | 0.216796 | − | 1.22951i | ||||
\(144\) | 869.585 | + | 1506.17i | 0.503232 | + | 0.871624i | ||||
\(145\) | 251.365 | − | 435.378i | 0.143964 | − | 0.249353i | ||||
\(146\) | 3039.29 | + | 2550.27i | 1.72283 | + | 1.44563i | ||||
\(147\) | −285.036 | − | 103.745i | −0.159928 | − | 0.0582090i | ||||
\(148\) | 4358.05 | − | 1586.20i | 2.42047 | − | 0.880978i | ||||
\(149\) | 1153.19 | − | 967.640i | 0.634046 | − | 0.532028i | −0.268137 | − | 0.963381i | \(-0.586408\pi\) |
0.902183 | + | 0.431353i | \(0.141964\pi\) | |||||||
\(150\) | 35.8664 | + | 203.409i | 0.0195232 | + | 0.110722i | ||||
\(151\) | −2394.72 | −1.29059 | −0.645296 | − | 0.763933i | \(-0.723266\pi\) | ||||
−0.645296 | + | 0.763933i | \(0.723266\pi\) | |||||||
\(152\) | −3060.88 | + | 1153.57i | −1.63336 | + | 0.615573i | ||||
\(153\) | 4.25569 | 0.00224871 | ||||||||
\(154\) | −1310.27 | − | 7430.90i | −0.685613 | − | 3.88831i | ||||
\(155\) | 1224.44 | − | 1027.42i | 0.634511 | − | 0.532418i | ||||
\(156\) | 365.263 | − | 132.945i | 0.187464 | − | 0.0682314i | ||||
\(157\) | 2541.54 | + | 925.045i | 1.29196 | + | 0.470233i | 0.894368 | − | 0.447331i | \(-0.147625\pi\) |
0.397587 | + | 0.917564i | \(0.369848\pi\) | |||||||
\(158\) | −2652.47 | − | 2225.69i | −1.33556 | − | 1.12067i | ||||
\(159\) | −10.0633 | + | 17.4302i | −0.00501933 | + | 0.00869374i | ||||
\(160\) | −15.4862 | − | 26.8229i | −0.00765183 | − | 0.0132534i | ||||
\(161\) | −212.502 | + | 1205.16i | −0.104022 | + | 0.589937i | ||||
\(162\) | −596.238 | + | 3381.43i | −0.289166 | + | 1.63994i | ||||
\(163\) | 927.459 | + | 1606.41i | 0.445670 | + | 0.771923i | 0.998099 | − | 0.0616373i | \(-0.0196322\pi\) |
−0.552429 | + | 0.833560i | \(0.686299\pi\) | |||||||
\(164\) | 255.955 | − | 443.327i | 0.121870 | − | 0.211085i | ||||
\(165\) | 178.906 | + | 150.120i | 0.0844109 | + | 0.0708292i | ||||
\(166\) | −5612.51 | − | 2042.79i | −2.62419 | − | 0.955127i | ||||
\(167\) | −835.550 | + | 304.115i | −0.387166 | + | 0.140917i | −0.528267 | − | 0.849078i | \(-0.677158\pi\) |
0.141101 | + | 0.989995i | \(0.454936\pi\) | |||||||
\(168\) | 527.942 | − | 442.996i | 0.242450 | − | 0.203440i | ||||
\(169\) | −97.3753 | − | 552.243i | −0.0443219 | − | 0.251362i | ||||
\(170\) | −5.79121 | −0.00261274 | ||||||||
\(171\) | −2081.81 | − | 731.069i | −0.930992 | − | 0.326937i | ||||
\(172\) | −2197.85 | −0.974327 | ||||||||
\(173\) | 604.938 | + | 3430.77i | 0.265853 | + | 1.50773i | 0.766595 | + | 0.642130i | \(0.221949\pi\) |
−0.500743 | + | 0.865596i | \(0.666940\pi\) | |||||||
\(174\) | −152.945 | + | 128.336i | −0.0666366 | + | 0.0559147i | ||||
\(175\) | −1927.19 | + | 701.439i | −0.832467 | + | 0.302993i | ||||
\(176\) | 3237.64 | + | 1178.40i | 1.38663 | + | 0.504690i | ||||
\(177\) | 133.445 | + | 111.974i | 0.0566688 | + | 0.0475507i | ||||
\(178\) | 2867.82 | − | 4967.20i | 1.20759 | − | 2.09162i | ||||
\(179\) | 52.0088 | + | 90.0818i | 0.0217169 | + | 0.0376147i | 0.876680 | − | 0.481075i | \(-0.159753\pi\) |
−0.854963 | + | 0.518689i | \(0.826420\pi\) | |||||||
\(180\) | 548.994 | − | 3113.50i | 0.227331 | − | 1.28926i | ||||
\(181\) | 191.556 | − | 1086.37i | 0.0786642 | − | 0.446127i | −0.919881 | − | 0.392199i | \(-0.871715\pi\) |
0.998545 | − | 0.0539284i | \(-0.0171743\pi\) | |||||||
\(182\) | 2891.49 | + | 5008.20i | 1.17764 | + | 2.03974i | ||||
\(183\) | −3.50124 | + | 6.06433i | −0.00141431 | + | 0.00244966i | ||||
\(184\) | −1270.17 | − | 1065.80i | −0.508903 | − | 0.427020i | ||||
\(185\) | −2006.80 | − | 730.415i | −0.797529 | − | 0.290277i | ||||
\(186\) | −596.507 | + | 217.111i | −0.235150 | + | 0.0855878i | ||||
\(187\) | 6.45839 | − | 5.41924i | 0.00252559 | − | 0.00211922i | ||||
\(188\) | −526.298 | − | 2984.79i | −0.204172 | − | 1.15791i | ||||
\(189\) | 936.005 | 0.360235 | ||||||||
\(190\) | 2832.95 | + | 994.849i | 1.08170 | + | 0.379863i | ||||
\(191\) | 2275.97 | 0.862216 | 0.431108 | − | 0.902300i | \(-0.358123\pi\) | ||||
0.431108 | + | 0.902300i | \(0.358123\pi\) | |||||||
\(192\) | −52.1485 | − | 295.749i | −0.0196015 | − | 0.111166i | ||||
\(193\) | −444.200 | + | 372.728i | −0.165669 | + | 0.139013i | −0.721853 | − | 0.692046i | \(-0.756709\pi\) |
0.556184 | + | 0.831059i | \(0.312265\pi\) | |||||||
\(194\) | −1832.14 | + | 666.843i | −0.678040 | + | 0.246786i | ||||
\(195\) | −168.197 | − | 61.2186i | −0.0617683 | − | 0.0224818i | ||||
\(196\) | 6231.55 | + | 5228.89i | 2.27097 | + | 1.90557i | ||||
\(197\) | 300.114 | − | 519.812i | 0.108539 | − | 0.187995i | −0.806639 | − | 0.591044i | \(-0.798716\pi\) |
0.915179 | + | 0.403048i | \(0.132049\pi\) | |||||||
\(198\) | 3448.10 | + | 5972.29i | 1.23761 | + | 2.14360i | ||||
\(199\) | −193.396 | + | 1096.81i | −0.0688920 | + | 0.390706i | 0.930792 | + | 0.365550i | \(0.119119\pi\) |
−0.999684 | + | 0.0251556i | \(0.991992\pi\) | |||||||
\(200\) | 482.529 | − | 2736.56i | 0.170600 | − | 0.967518i | ||||
\(201\) | −106.564 | − | 184.575i | −0.0373954 | − | 0.0647707i | ||||
\(202\) | −845.940 | + | 1465.21i | −0.294654 | + | 0.510356i | ||||
\(203\) | −1518.65 | − | 1274.30i | −0.525065 | − | 0.440582i | ||||
\(204\) | 1.44242 | + | 0.524997i | 0.000495046 | + | 0.000180182i | ||||
\(205\) | −221.509 | + | 80.6226i | −0.0754675 | + | 0.0274679i | ||||
\(206\) | −3096.67 | + | 2598.41i | −1.04735 | + | 0.878834i | ||||
\(207\) | −194.215 | − | 1101.45i | −0.0652121 | − | 0.369836i | ||||
\(208\) | −2640.61 | −0.880255 | ||||||||
\(209\) | −4090.28 | + | 1541.53i | −1.35373 | + | 0.510190i | ||||
\(210\) | −632.611 | −0.207878 | ||||||||
\(211\) | −151.430 | − | 858.804i | −0.0494071 | − | 0.280201i | 0.950088 | − | 0.311983i | \(-0.100993\pi\) |
−0.999495 | + | 0.0317813i | \(0.989882\pi\) | |||||||
\(212\) | 413.479 | − | 346.950i | 0.133952 | − | 0.112399i | ||||
\(213\) | −142.148 | + | 51.7376i | −0.0457268 | + | 0.0166432i | ||||
\(214\) | −1535.17 | − | 558.756i | −0.490384 | − | 0.178485i | ||||
\(215\) | 775.288 | + | 650.544i | 0.245927 | + | 0.206357i | ||||
\(216\) | −634.107 | + | 1098.31i | −0.199748 | + | 0.345974i | ||||
\(217\) | −3151.52 | − | 5458.59i | −0.985894 | − | 1.70762i | ||||
\(218\) | 1252.15 | − | 7101.32i | 0.389021 | − | 2.20625i | ||||
\(219\) | −84.0885 | + | 476.890i | −0.0259460 | + | 0.147147i | ||||
\(220\) | −3131.61 | − | 5424.11i | −0.959697 | − | 1.66224i | ||||
\(221\) | −3.23074 | + | 5.59580i | −0.000983362 | + | 0.00170323i | ||||
\(222\) | 649.709 | + | 545.171i | 0.196422 | + | 0.164817i | ||||
\(223\) | 4308.68 | + | 1568.23i | 1.29386 | + | 0.470926i | 0.894992 | − | 0.446082i | \(-0.147181\pi\) |
0.398867 | + | 0.917009i | \(0.369403\pi\) | |||||||
\(224\) | −114.770 | + | 41.7729i | −0.0342339 | + | 0.0124601i | ||||
\(225\) | 1435.86 | − | 1204.83i | 0.425440 | − | 0.356987i | ||||
\(226\) | 1830.71 | + | 10382.5i | 0.538837 | + | 3.05589i | ||||
\(227\) | 2444.50 | 0.714744 | 0.357372 | − | 0.933962i | \(-0.383673\pi\) | ||||
0.357372 | + | 0.933962i | \(0.383673\pi\) | |||||||
\(228\) | −615.417 | − | 504.606i | −0.178759 | − | 0.146572i | ||||
\(229\) | 225.313 | 0.0650178 | 0.0325089 | − | 0.999471i | \(-0.489650\pi\) | ||||
0.0325089 | + | 0.999471i | \(0.489650\pi\) | |||||||
\(230\) | 264.291 | + | 1498.87i | 0.0757689 | + | 0.429707i | ||||
\(231\) | 705.492 | − | 591.978i | 0.200943 | − | 0.168612i | ||||
\(232\) | 2524.08 | − | 918.691i | 0.714285 | − | 0.259978i | ||||
\(233\) | 1158.16 | + | 421.534i | 0.325636 | + | 0.118522i | 0.499665 | − | 0.866219i | \(-0.333456\pi\) |
−0.174029 | + | 0.984741i | \(0.555679\pi\) | |||||||
\(234\) | −4048.79 | − | 3397.34i | −1.13110 | − | 0.949107i | ||||
\(235\) | −697.820 | + | 1208.66i | −0.193705 | + | 0.335508i | ||||
\(236\) | −2335.86 | − | 4045.83i | −0.644287 | − | 1.11594i | ||||
\(237\) | 73.3862 | − | 416.194i | 0.0201137 | − | 0.114071i | ||||
\(238\) | −3.96558 | + | 22.4899i | −0.00108004 | + | 0.00612523i | ||||
\(239\) | −1193.70 | − | 2067.54i | −0.323070 | − | 0.559574i | 0.658050 | − | 0.752975i | \(-0.271382\pi\) |
−0.981120 | + | 0.193400i | \(0.938048\pi\) | |||||||
\(240\) | 144.431 | − | 250.161i | 0.0388456 | − | 0.0672826i | ||||
\(241\) | −1170.63 | − | 982.276i | −0.312892 | − | 0.262548i | 0.472794 | − | 0.881173i | \(-0.343245\pi\) |
−0.785686 | + | 0.618625i | \(0.787690\pi\) | |||||||
\(242\) | 6703.87 | + | 2440.01i | 1.78075 | + | 0.648140i | ||||
\(243\) | −1208.49 | + | 439.853i | −0.319030 | + | 0.116118i | ||||
\(244\) | 143.858 | − | 120.711i | 0.0377441 | − | 0.0316711i | ||||
\(245\) | −650.466 | − | 3688.97i | −0.169619 | − | 0.961959i | ||||
\(246\) | 93.6164 | 0.0242633 | ||||||||
\(247\) | 2541.70 | − | 2182.37i | 0.654755 | − | 0.562189i | ||||
\(248\) | 8540.13 | 2.18669 | ||||||||
\(249\) | −126.587 | − | 717.911i | −0.0322174 | − | 0.182714i | ||||
\(250\) | −5425.50 | + | 4552.54i | −1.37256 | + | 1.15171i | ||||
\(251\) | 5132.44 | − | 1868.06i | 1.29067 | − | 0.469764i | 0.396720 | − | 0.917940i | \(-0.370148\pi\) |
0.893945 | + | 0.448176i | \(0.147926\pi\) | |||||||
\(252\) | −11715.2 | − | 4264.00i | −2.92853 | − | 1.06590i | ||||
\(253\) | −1697.33 | − | 1424.23i | −0.421781 | − | 0.353916i | ||||
\(254\) | −1859.97 | + | 3221.56i | −0.459467 | + | 0.795821i | ||||
\(255\) | −0.353417 | − | 0.612136i | −8.67914e−5 | − | 0.000150327i | ||||
\(256\) | −1427.07 | + | 8093.30i | −0.348405 | + | 1.97590i | ||||
\(257\) | −893.499 | + | 5067.29i | −0.216867 | + | 1.22992i | 0.660769 | + | 0.750589i | \(0.270230\pi\) |
−0.877636 | + | 0.479327i | \(0.840881\pi\) | |||||||
\(258\) | −200.968 | − | 348.086i | −0.0484950 | − | 0.0839957i | ||||
\(259\) | −4210.71 | + | 7293.17i | −1.01020 | + | 1.74971i | ||||
\(260\) | 3677.17 | + | 3085.51i | 0.877108 | + | 0.735981i | ||||
\(261\) | 1702.59 | + | 619.691i | 0.403783 | + | 0.146965i | ||||
\(262\) | 19.6483 | − | 7.15141i | 0.00463312 | − | 0.00168632i | ||||
\(263\) | −2709.39 | + | 2273.45i | −0.635241 | + | 0.533030i | −0.902553 | − | 0.430580i | \(-0.858309\pi\) |
0.267312 | + | 0.963610i | \(0.413865\pi\) | |||||||
\(264\) | 216.682 | + | 1228.86i | 0.0505146 | + | 0.286482i | ||||
\(265\) | −248.548 | −0.0576159 | ||||||||
\(266\) | 5803.35 | − | 10320.4i | 1.33769 | − | 2.37889i | ||||
\(267\) | 700.050 | 0.160458 | ||||||||
\(268\) | 992.521 | + | 5628.87i | 0.226223 | + | 1.28298i | ||||
\(269\) | −3470.12 | + | 2911.78i | −0.786532 | + | 0.659979i | −0.944884 | − | 0.327404i | \(-0.893826\pi\) |
0.158352 | + | 0.987383i | \(0.449382\pi\) | |||||||
\(270\) | 1093.91 | − | 398.152i | 0.246569 | − | 0.0897436i | ||||
\(271\) | 2619.55 | + | 953.438i | 0.587182 | + | 0.213717i | 0.618490 | − | 0.785793i | \(-0.287745\pi\) |
−0.0313075 | + | 0.999510i | \(0.509967\pi\) | |||||||
\(272\) | −7.98809 | − | 6.70280i | −0.00178070 | − | 0.00149418i | ||||
\(273\) | −352.914 | + | 611.265i | −0.0782394 | + | 0.135515i | ||||
\(274\) | −2155.74 | − | 3733.85i | −0.475303 | − | 0.823248i | ||||
\(275\) | 644.806 | − | 3656.88i | 0.141394 | − | 0.801883i | ||||
\(276\) | 70.0517 | − | 397.283i | 0.0152776 | − | 0.0866435i | ||||
\(277\) | −715.482 | − | 1239.25i | −0.155196 | − | 0.268807i | 0.777935 | − | 0.628345i | \(-0.216267\pi\) |
−0.933130 | + | 0.359539i | \(0.882934\pi\) | |||||||
\(278\) | 4827.83 | − | 8362.04i | 1.04156 | − | 1.80404i | ||||
\(279\) | 4412.90 | + | 3702.86i | 0.946930 | + | 0.794568i | ||||
\(280\) | 7997.56 | + | 2910.87i | 1.70695 | + | 0.621278i | ||||
\(281\) | −7973.14 | + | 2901.99i | −1.69266 | + | 0.616078i | −0.994956 | − | 0.100308i | \(-0.968017\pi\) |
−0.697704 | + | 0.716386i | \(0.745795\pi\) | |||||||
\(282\) | 424.595 | − | 356.277i | 0.0896605 | − | 0.0752341i | ||||
\(283\) | −1171.22 | − | 6642.33i | −0.246014 | − | 1.39521i | −0.818126 | − | 0.575039i | \(-0.804987\pi\) |
0.572112 | − | 0.820176i | \(-0.306124\pi\) | |||||||
\(284\) | 4056.79 | 0.847627 | ||||||||
\(285\) | 67.7284 | + | 360.158i | 0.0140768 | + | 0.0748558i | ||||
\(286\) | −10470.6 | −2.16482 | ||||||||
\(287\) | 161.415 | + | 915.428i | 0.0331986 | + | 0.188279i | ||||
\(288\) | 85.5099 | − | 71.7514i | 0.0174956 | − | 0.0146805i | ||||
\(289\) | 4616.69 | − | 1680.34i | 0.939688 | − | 0.342018i | ||||
\(290\) | −2316.90 | − | 843.284i | −0.469149 | − | 0.170756i | ||||
\(291\) | −182.295 | − | 152.963i | −0.0367227 | − | 0.0308140i | ||||
\(292\) | 6493.28 | − | 11246.7i | 1.30134 | − | 2.25398i | ||||
\(293\) | 3990.52 | + | 6911.78i | 0.795660 | + | 1.37812i | 0.922419 | + | 0.386190i | \(0.126209\pi\) |
−0.126759 | + | 0.991934i | \(0.540458\pi\) | |||||||
\(294\) | −258.328 | + | 1465.05i | −0.0512449 | + | 0.290624i | ||||
\(295\) | −373.559 | + | 2118.56i | −0.0737270 | + | 0.418126i | ||||
\(296\) | −5705.19 | − | 9881.68i | −1.12030 | − | 1.94041i | ||||
\(297\) | −847.362 | + | 1467.67i | −0.165552 | + | 0.286744i | ||||
\(298\) | −5655.71 | − | 4745.70i | −1.09942 | − | 0.922521i | ||||
\(299\) | 1595.73 | + | 580.800i | 0.308641 | + | 0.112336i | ||||
\(300\) | 635.300 | − | 231.230i | 0.122264 | − | 0.0445003i | ||||
\(301\) | 3057.25 | − | 2565.34i | 0.585438 | − | 0.491241i | ||||
\(302\) | 2039.44 | + | 11566.2i | 0.388598 | + | 2.20385i | ||||
\(303\) | −206.499 | −0.0391520 | ||||||||
\(304\) | 2756.18 | + | 4651.13i | 0.519992 | + | 0.877502i | ||||
\(305\) | −86.4752 | −0.0162346 | ||||||||
\(306\) | −3.62432 | − | 20.5546i | −0.000677088 | − | 0.00383995i | ||||
\(307\) | 3138.81 | − | 2633.77i | 0.583522 | − | 0.489633i | −0.302580 | − | 0.953124i | \(-0.597848\pi\) |
0.886102 | + | 0.463491i | \(0.153403\pi\) | |||||||
\(308\) | −23208.7 | + | 8447.29i | −4.29364 | + | 1.56276i | ||||
\(309\) | −463.633 | − | 168.749i | −0.0853565 | − | 0.0310672i | ||||
\(310\) | −6005.14 | − | 5038.91i | −1.10022 | − | 0.923196i | ||||
\(311\) | −4343.64 | + | 7523.40i | −0.791978 | + | 1.37175i | 0.132763 | + | 0.991148i | \(0.457615\pi\) |
−0.924741 | + | 0.380598i | \(0.875718\pi\) | |||||||
\(312\) | −478.172 | − | 828.217i | −0.0867665 | − | 0.150284i | ||||
\(313\) | 1160.01 | − | 6578.73i | 0.209481 | − | 1.18803i | −0.680750 | − | 0.732516i | \(-0.738346\pi\) |
0.890231 | − | 0.455510i | \(-0.150543\pi\) | |||||||
\(314\) | 2303.39 | − | 13063.2i | 0.413974 | − | 2.34777i | ||||
\(315\) | 2870.43 | + | 4971.73i | 0.513430 | + | 0.889287i | ||||
\(316\) | −5666.85 | + | 9815.28i | −1.00881 | + | 1.74732i | ||||
\(317\) | −7872.02 | − | 6605.41i | −1.39475 | − | 1.17034i | −0.963373 | − | 0.268166i | \(-0.913583\pi\) |
−0.431380 | − | 0.902170i | \(-0.641973\pi\) | |||||||
\(318\) | 92.7564 | + | 33.7606i | 0.0163570 | + | 0.00595346i | ||||
\(319\) | 3372.95 | − | 1227.65i | 0.592002 | − | 0.215471i | ||||
\(320\) | 2840.96 | − | 2383.85i | 0.496295 | − | 0.416441i | ||||
\(321\) | −34.6249 | − | 196.368i | −0.00602048 | − | 0.0341439i | ||||
\(322\) | 6001.78 | 1.03871 | ||||||||
\(323\) | 13.2285 | − | 0.150130i | 0.00227881 | − | 2.58621e-5i | ||||
\(324\) | 11238.9 | 1.92711 | ||||||||
\(325\) | 494.186 | + | 2802.67i | 0.0843461 | + | 0.478351i | ||||
\(326\) | 6968.92 | − | 5847.61i | 1.18396 | − | 0.993464i | ||||
\(327\) | 827.030 | − | 301.014i | 0.139862 | − | 0.0509056i | ||||
\(328\) | −1183.51 | − | 430.763i | −0.199233 | − | 0.0725150i | ||||
\(329\) | 4215.95 | + | 3537.60i | 0.706482 | + | 0.592809i | ||||
\(330\) | 572.700 | − | 991.945i | 0.0955336 | − | 0.165469i | ||||
\(331\) | 867.289 | + | 1502.19i | 0.144020 | + | 0.249449i | 0.929007 | − | 0.370063i | \(-0.120664\pi\) |
−0.784987 | + | 0.619512i | \(0.787330\pi\) | |||||||
\(332\) | −3394.82 | + | 19253.0i | −0.561190 | + | 3.18267i | ||||
\(333\) | 1336.52 | − | 7579.79i | 0.219943 | − | 1.24736i | ||||
\(334\) | 2180.43 | + | 3776.62i | 0.357210 | + | 0.618705i | ||||
\(335\) | 1315.99 | − | 2279.36i | 0.214627 | − | 0.371745i | ||||
\(336\) | −872.590 | − | 732.190i | −0.141678 | − | 0.118882i | ||||
\(337\) | −7972.22 | − | 2901.65i | −1.28865 | − | 0.469029i | −0.395365 | − | 0.918524i | \(-0.629382\pi\) |
−0.893283 | + | 0.449495i | \(0.851604\pi\) | |||||||
\(338\) | −2584.35 | + | 940.626i | −0.415888 | + | 0.151371i | ||||
\(339\) | −985.715 | + | 827.113i | −0.157925 | + | 0.132515i | ||||
\(340\) | 3.29166 | + | 18.6679i | 0.000525045 | + | 0.00297768i | ||||
\(341\) | 11412.2 | 1.81234 | ||||||||
\(342\) | −1758.04 | + | 10677.5i | −0.277964 | + | 1.68823i | ||||
\(343\) | −4772.88 | −0.751344 | ||||||||
\(344\) | 938.991 | + | 5325.28i | 0.147171 | + | 0.834651i | ||||
\(345\) | −142.303 | + | 119.406i | −0.0222068 | + | 0.0186337i | ||||
\(346\) | 16055.1 | − | 5843.57i | 2.49459 | − | 0.907955i | ||||
\(347\) | 1475.13 | + | 536.902i | 0.228210 | + | 0.0830618i | 0.453594 | − | 0.891208i | \(-0.350141\pi\) |
−0.225384 | + | 0.974270i | \(0.572364\pi\) | |||||||
\(348\) | 500.625 | + | 420.074i | 0.0771158 | + | 0.0647078i | ||||
\(349\) | 3113.45 | − | 5392.65i | 0.477533 | − | 0.827112i | −0.522135 | − | 0.852863i | \(-0.674864\pi\) |
0.999668 | + | 0.0257507i | \(0.00819762\pi\) | |||||||
\(350\) | 5029.15 | + | 8710.75i | 0.768056 | + | 1.33031i | ||||
\(351\) | 225.544 | − | 1279.12i | 0.0342981 | − | 0.194514i | ||||
\(352\) | 38.4002 | − | 217.778i | 0.00581459 | − | 0.0329762i | ||||
\(353\) | 3022.18 | + | 5234.56i | 0.455678 | + | 0.789257i | 0.998727 | − | 0.0504440i | \(-0.0160636\pi\) |
−0.543049 | + | 0.839701i | \(0.682730\pi\) | |||||||
\(354\) | 427.175 | − | 739.889i | 0.0641359 | − | 0.111087i | ||||
\(355\) | −1431.03 | − | 1200.78i | −0.213947 | − | 0.179523i | ||||
\(356\) | −17641.8 | − | 6421.08i | −2.62644 | − | 0.955946i | ||||
\(357\) | −2.61921 | + | 0.953315i | −0.000388301 | + | 0.000141330i | ||||
\(358\) | 390.793 | − | 327.914i | 0.0576929 | − | 0.0484101i | ||||
\(359\) | −1718.83 | − | 9747.95i | −0.252691 | − | 1.43308i | −0.801930 | − | 0.597418i | \(-0.796193\pi\) |
0.549239 | − | 0.835665i | \(-0.314918\pi\) | |||||||
\(360\) | −7778.43 | −1.13878 | ||||||||
\(361\) | −6496.93 | − | 2199.03i | −0.947213 | − | 0.320606i | ||||
\(362\) | −5410.18 | −0.785505 | ||||||||
\(363\) | 151.202 | + | 857.510i | 0.0218624 | + | 0.123988i | ||||
\(364\) | 14500.4 | − | 12167.3i | 2.08799 | − | 1.75203i | ||||
\(365\) | −5619.42 | + | 2045.30i | −0.805847 | + | 0.293304i | ||||
\(366\) | 32.2719 | + | 11.7460i | 0.00460896 | + | 0.00167752i | ||||
\(367\) | −6820.82 | − | 5723.35i | −0.970147 | − | 0.814050i | 0.0124266 | − | 0.999923i | \(-0.496044\pi\) |
−0.982574 | + | 0.185873i | \(0.940489\pi\) | |||||||
\(368\) | −1370.26 | + | 2373.36i | −0.194102 | + | 0.336195i | ||||
\(369\) | −424.779 | − | 735.738i | −0.0599271 | − | 0.103797i | ||||
\(370\) | −1818.76 | + | 10314.7i | −0.255548 | + | 1.44928i | ||||
\(371\) | −170.196 | + | 965.228i | −0.0238170 | + | 0.135073i | ||||
\(372\) | 1038.90 | + | 1799.43i | 0.144797 | + | 0.250796i | ||||
\(373\) | −3961.67 | + | 6861.81i | −0.549939 | + | 0.952523i | 0.448339 | + | 0.893864i | \(0.352016\pi\) |
−0.998278 | + | 0.0586591i | \(0.981318\pi\) | |||||||
\(374\) | −31.6746 | − | 26.5781i | −0.00437929 | − | 0.00367466i | ||||
\(375\) | −812.306 | − | 295.655i | −0.111859 | − | 0.0407135i | ||||
\(376\) | −7007.15 | + | 2550.39i | −0.961080 | + | 0.349805i | ||||
\(377\) | −2107.36 | + | 1768.29i | −0.287890 | + | 0.241569i | ||||
\(378\) | −797.141 | − | 4520.81i | −0.108467 | − | 0.615147i | ||||
\(379\) | 566.318 | 0.0767541 | 0.0383771 | − | 0.999263i | \(-0.487781\pi\) | ||||
0.0383771 | + | 0.999263i | \(0.487781\pi\) | |||||||
\(380\) | 1596.67 | − | 9697.47i | 0.215546 | − | 1.30913i | ||||
\(381\) | −454.028 | −0.0610514 | ||||||||
\(382\) | −1938.31 | − | 10992.7i | −0.259614 | − | 1.47234i | ||||
\(383\) | −1836.22 | + | 1540.78i | −0.244978 | + | 0.205561i | −0.757006 | − | 0.653408i | \(-0.773339\pi\) |
0.512028 | + | 0.858969i | \(0.328894\pi\) | |||||||
\(384\) | −1402.88 | + | 510.606i | −0.186433 | + | 0.0678561i | ||||
\(385\) | 10687.2 | + | 3889.82i | 1.41473 | + | 0.514918i | ||||
\(386\) | 2178.54 | + | 1828.01i | 0.287266 | + | 0.241045i | ||||
\(387\) | −1823.76 | + | 3158.84i | −0.239552 | + | 0.414917i | ||||
\(388\) | 3190.93 | + | 5526.86i | 0.417513 | + | 0.723154i | ||||
\(389\) | −1961.56 | + | 11124.5i | −0.255668 | + | 1.44997i | 0.538684 | + | 0.842508i | \(0.318922\pi\) |
−0.794352 | + | 0.607458i | \(0.792189\pi\) | |||||||
\(390\) | −152.436 | + | 864.510i | −0.0197921 | + | 0.112247i | ||||
\(391\) | 3.35297 | + | 5.80752i | 0.000433676 | + | 0.000751148i | ||||
\(392\) | 10007.0 | − | 17332.7i | 1.28937 | − | 2.23325i | ||||
\(393\) | 1.95498 | + | 1.64042i | 0.000250930 | + | 0.000210556i | ||||
\(394\) | −2766.23 | − | 1006.83i | −0.353707 | − | 0.128739i | ||||
\(395\) | 4904.22 | − | 1784.99i | 0.624704 | − | 0.227374i | ||||
\(396\) | 17291.8 | − | 14509.5i | 2.19430 | − | 1.84124i | ||||
\(397\) | 297.045 | + | 1684.63i | 0.0375523 | + | 0.212970i | 0.997810 | − | 0.0661451i | \(-0.0210700\pi\) |
−0.960258 | + | 0.279115i | \(0.909959\pi\) | |||||||
\(398\) | 5462.16 | 0.687924 | ||||||||
\(399\) | 1445.04 | − | 16.3997i | 0.181309 | − | 0.00205767i | ||||
\(400\) | −4592.80 | −0.574100 | ||||||||
\(401\) | −1599.12 | − | 9069.07i | −0.199143 | − | 1.12940i | −0.906394 | − | 0.422434i | \(-0.861176\pi\) |
0.707251 | − | 0.706963i | \(-0.249935\pi\) | |||||||
\(402\) | −800.723 | + | 671.887i | −0.0993444 | + | 0.0833599i | ||||
\(403\) | −8218.97 | + | 2991.46i | −1.01592 | + | 0.369765i | ||||
\(404\) | 5203.92 | + | 1894.07i | 0.640854 | + | 0.233252i | ||||
\(405\) | −3964.52 | − | 3326.63i | −0.486417 | − | 0.408152i | ||||
\(406\) | −4861.38 | + | 8420.16i | −0.594252 | + | 1.02927i | ||||
\(407\) | −7623.88 | − | 13204.9i | −0.928505 | − | 1.60822i | ||||
\(408\) | 0.655797 | − | 3.71921i | 7.95754e−5 | − | 0.000451295i | ||||
\(409\) | −1876.27 | + | 10640.9i | −0.226835 | + | 1.28645i | 0.632310 | + | 0.774715i | \(0.282107\pi\) |
−0.859146 | + | 0.511731i | \(0.829004\pi\) | |||||||
\(410\) | 578.045 | + | 1001.20i | 0.0696283 | + | 0.120600i | ||||
\(411\) | 263.114 | − | 455.727i | 0.0315778 | − | 0.0546943i | ||||
\(412\) | 10136.1 | + | 8505.18i | 1.21206 | + | 1.01704i | ||||
\(413\) | 7971.54 | + | 2901.40i | 0.949768 | + | 0.345687i | ||||
\(414\) | −5154.49 | + | 1876.08i | −0.611907 | + | 0.222716i | ||||
\(415\) | 6896.25 | − | 5786.64i | 0.815719 | − | 0.684470i | ||||
\(416\) | 29.4303 | + | 166.907i | 0.00346860 | + | 0.0196714i | ||||
\(417\) | 1178.50 | 0.138397 | ||||||||
\(418\) | 10928.9 | + | 18442.8i | 1.27882 | + | 2.15805i | ||||
\(419\) | −15330.6 | −1.78747 | −0.893735 | − | 0.448596i | \(-0.851924\pi\) | ||||
−0.893735 | + | 0.448596i | \(0.851924\pi\) | |||||||
\(420\) | 359.569 | + | 2039.22i | 0.0417742 | + | 0.236913i | ||||
\(421\) | −126.027 | + | 105.750i | −0.0145896 | + | 0.0122421i | −0.650053 | − | 0.759889i | \(-0.725253\pi\) |
0.635464 | + | 0.772131i | \(0.280809\pi\) | |||||||
\(422\) | −4018.97 | + | 1462.79i | −0.463603 | + | 0.168738i | ||||
\(423\) | −4726.58 | − | 1720.33i | −0.543296 | − | 0.197744i | ||||
\(424\) | −1017.30 | − | 853.612i | −0.116519 | − | 0.0977714i | ||||
\(425\) | −5.61921 | + | 9.73276i | −0.000641345 | + | 0.00111084i | ||||
\(426\) | 370.946 | + | 642.498i | 0.0421888 | + | 0.0730731i | ||||
\(427\) | −59.2147 | + | 335.823i | −0.00671101 | + | 0.0380600i | ||||
\(428\) | −928.574 | + | 5266.20i | −0.104870 | + | 0.594747i | ||||
\(429\) | −638.984 | − | 1106.75i | −0.0719124 | − | 0.124556i | ||||
\(430\) | 2481.79 | − | 4298.59i | 0.278332 | − | 0.482085i | ||||
\(431\) | 9869.95 | + | 8281.87i | 1.10306 | + | 0.925577i | 0.997627 | − | 0.0688493i | \(-0.0219328\pi\) |
0.105433 | + | 0.994426i | \(0.466377\pi\) | |||||||
\(432\) | 1969.71 | + | 716.917i | 0.219370 | + | 0.0798442i | ||||
\(433\) | 9951.14 | − | 3621.92i | 1.10444 | − | 0.401982i | 0.275487 | − | 0.961305i | \(-0.411161\pi\) |
0.828950 | + | 0.559323i | \(0.188939\pi\) | |||||||
\(434\) | −23680.5 | + | 19870.3i | −2.61912 | + | 2.19771i | ||||
\(435\) | −52.2565 | − | 296.361i | −0.00575979 | − | 0.0326654i | ||||
\(436\) | −23602.8 | −2.59259 | ||||||||
\(437\) | −642.561 | − | 3416.93i | −0.0703383 | − | 0.374036i | ||||
\(438\) | 2374.94 | 0.259085 | ||||||||
\(439\) | 2617.95 | + | 14847.1i | 0.284619 | + | 1.61415i | 0.706643 | + | 0.707570i | \(0.250209\pi\) |
−0.422024 | + | 0.906584i | \(0.638680\pi\) | |||||||
\(440\) | −11804.5 | + | 9905.11i | −1.27899 | + | 1.07320i | ||||
\(441\) | 12686.1 | − | 4617.36i | 1.36984 | − | 0.498581i | ||||
\(442\) | 29.7786 | + | 10.8385i | 0.00320458 | + | 0.00116637i | ||||
\(443\) | −277.823 | − | 233.122i | −0.0297964 | − | 0.0250021i | 0.627768 | − | 0.778401i | \(-0.283969\pi\) |
−0.657564 | + | 0.753398i | \(0.728413\pi\) | |||||||
\(444\) | 1388.07 | − | 2404.20i | 0.148367 | − | 0.256979i | ||||
\(445\) | 4322.54 | + | 7486.85i | 0.460467 | + | 0.797552i | ||||
\(446\) | 3904.95 | − | 22146.1i | 0.414584 | − | 2.35123i | ||||
\(447\) | 156.477 | − | 887.426i | 0.0165573 | − | 0.0939012i | ||||
\(448\) | −7312.20 | − | 12665.1i | −0.771136 | − | 1.33565i | ||||
\(449\) | 6292.87 | − | 10899.6i | 0.661423 | − | 1.14562i | −0.318819 | − | 0.947816i | \(-0.603286\pi\) |
0.980242 | − | 0.197802i | \(-0.0633805\pi\) | |||||||
\(450\) | −7042.05 | − | 5908.98i | −0.737701 | − | 0.619004i | ||||
\(451\) | −1581.53 | − | 575.632i | −0.165125 | − | 0.0601007i | ||||
\(452\) | 32427.3 | − | 11802.6i | 3.37445 | − | 1.22820i | ||||
\(453\) | −1098.10 | + | 921.417i | −0.113893 | + | 0.0955672i | ||||
\(454\) | −2081.83 | − | 11806.7i | −0.215210 | − | 1.22052i | ||||
\(455\) | −8716.43 | −0.898094 | ||||||||
\(456\) | −959.712 | + | 1706.71i | −0.0985584 | + | 0.175272i | ||||
\(457\) | 19220.1 | 1.96735 | 0.983673 | − | 0.179965i | \(-0.0575984\pi\) | ||||
0.983673 | + | 0.179965i | \(0.0575984\pi\) | |||||||
\(458\) | −191.886 | − | 1088.24i | −0.0195769 | − | 0.111026i | ||||
\(459\) | 3.92916 | − | 3.29695i | 0.000399559 | − | 0.000335269i | ||||
\(460\) | 4681.38 | − | 1703.88i | 0.474501 | − | 0.172704i | ||||
\(461\) | −5961.69 | − | 2169.88i | −0.602307 | − | 0.219222i | 0.0228268 | − | 0.999739i | \(-0.492733\pi\) |
−0.625134 | + | 0.780518i | \(0.714956\pi\) | |||||||
\(462\) | −3460.02 | − | 2903.30i | −0.348430 | − | 0.292367i | ||||
\(463\) | −2665.67 | + | 4617.07i | −0.267568 | + | 0.463442i | −0.968233 | − | 0.250049i | \(-0.919553\pi\) |
0.700665 | + | 0.713490i | \(0.252887\pi\) | |||||||
\(464\) | −2219.79 | − | 3844.79i | −0.222093 | − | 0.384677i | ||||
\(465\) | 166.145 | − | 942.255i | 0.0165694 | − | 0.0939699i | ||||
\(466\) | 1049.63 | − | 5952.77i | 0.104342 | − | 0.591752i | ||||
\(467\) | 2903.91 | + | 5029.71i | 0.287745 | + | 0.498388i | 0.973271 | − | 0.229659i | \(-0.0737612\pi\) |
−0.685526 | + | 0.728048i | \(0.740428\pi\) | |||||||
\(468\) | −8650.02 | + | 14982.3i | −0.854374 | + | 1.47982i | ||||
\(469\) | −7950.66 | − | 6671.39i | −0.782787 | − | 0.656836i | ||||
\(470\) | 6432.00 | + | 2341.06i | 0.631247 | + | 0.229755i | ||||
\(471\) | 1521.36 | − | 553.729i | 0.148833 | − | 0.0541709i | ||||
\(472\) | −8804.91 | + | 7388.20i | −0.858642 | + | 0.720486i | ||||
\(473\) | 1254.78 | + | 7116.21i | 0.121976 | + | 0.691762i | ||||
\(474\) | −2072.67 | −0.200846 | ||||||||
\(475\) | 4420.77 | − | 3795.78i | 0.427029 | − | 0.366658i | ||||
\(476\) | 74.7502 | 0.00719783 | ||||||||
\(477\) | −155.550 | − | 882.166i | −0.0149311 | − | 0.0846784i | ||||
\(478\) | −8969.42 | + | 7526.24i | −0.858268 | + | 0.720172i | ||||
\(479\) | 7365.10 | − | 2680.68i | 0.702547 | − | 0.255706i | 0.0340492 | − | 0.999420i | \(-0.489160\pi\) |
0.668498 | + | 0.743714i | \(0.266937\pi\) | |||||||
\(480\) | −17.4219 | − | 6.34105i | −0.00165666 | − | 0.000602975i | ||||
\(481\) | 8952.02 | + | 7511.64i | 0.848601 | + | 0.712061i | ||||
\(482\) | −3747.34 | + | 6490.58i | −0.354121 | + | 0.613356i | ||||
\(483\) | 366.267 | + | 634.393i | 0.0345046 | + | 0.0597637i | ||||
\(484\) | 4054.95 | − | 22996.8i | 0.380818 | − | 2.15973i | ||||
\(485\) | 510.305 | − | 2894.08i | 0.0477768 | − | 0.270956i | ||||
\(486\) | 3153.64 | + | 5462.27i | 0.294346 | + | 0.509822i | ||||
\(487\) | 453.583 | − | 785.629i | 0.0422049 | − | 0.0731011i | −0.844151 | − | 0.536105i | \(-0.819895\pi\) |
0.886356 | + | 0.463004i | \(0.153228\pi\) | |||||||
\(488\) | −353.938 | − | 296.990i | −0.0328320 | − | 0.0275494i | ||||
\(489\) | 1043.39 | + | 379.761i | 0.0964899 | + | 0.0351194i | ||||
\(490\) | −17263.4 | + | 6283.37i | −1.59159 | + | 0.579293i | ||||
\(491\) | 9362.55 | − | 7856.11i | 0.860542 | − | 0.722080i | −0.101543 | − | 0.994831i | \(-0.532378\pi\) |
0.962085 | + | 0.272751i | \(0.0879334\pi\) | |||||||
\(492\) | −53.2106 | − | 301.772i | −0.00487585 | − | 0.0276523i | ||||
\(493\) | −10.8635 | −0.000992430 | ||||||||
\(494\) | −12705.2 | − | 10417.6i | −1.15716 | − | 0.948801i | ||||
\(495\) | −10394.4 | −0.943821 | ||||||||
\(496\) | −2451.09 | − | 13900.8i | −0.221889 | − | 1.25840i | ||||
\(497\) | −5643.07 | + | 4735.10i | −0.509309 | + | 0.427361i | ||||
\(498\) | −3359.63 | + | 1222.81i | −0.302307 | + | 0.110031i | ||||
\(499\) | −16468.4 | − | 5994.00i | −1.47741 | − | 0.537732i | −0.527307 | − | 0.849675i | \(-0.676798\pi\) |
−0.950101 | + | 0.311943i | \(0.899020\pi\) | |||||||
\(500\) | 17758.9 | + | 14901.5i | 1.58840 | + | 1.33283i | ||||
\(501\) | −266.128 | + | 460.948i | −0.0237320 | + | 0.0411050i | ||||
\(502\) | −13393.5 | − | 23198.3i | −1.19080 | − | 2.06253i | ||||
\(503\) | 1352.90 | − | 7672.65i | 0.119926 | − | 0.680133i | −0.864267 | − | 0.503033i | \(-0.832217\pi\) |
0.984193 | − | 0.177100i | \(-0.0566715\pi\) | |||||||
\(504\) | −5326.35 | + | 30207.2i | −0.470743 | + | 2.66971i | ||||
\(505\) | −1275.05 | − | 2208.45i | −0.112354 | − | 0.194603i | ||||
\(506\) | −5433.38 | + | 9410.89i | −0.477358 | + | 0.826809i | ||||
\(507\) | −257.138 | − | 215.765i | −0.0225245 | − | 0.0189003i | ||||
\(508\) | 11441.9 | + | 4164.49i | 0.999311 | + | 0.363720i | ||||
\(509\) | −17576.7 | + | 6397.40i | −1.53060 | + | 0.557092i | −0.963768 | − | 0.266743i | \(-0.914053\pi\) |
−0.566830 | + | 0.823835i | \(0.691830\pi\) | |||||||
\(510\) | −2.65557 | + | 2.22829i | −0.000230570 | + | 0.000193471i | ||||
\(511\) | 4094.90 | + | 23223.3i | 0.354497 | + | 2.01045i | ||||
\(512\) | 20353.0 | 1.75681 | ||||||||
\(513\) | −2488.44 | + | 937.834i | −0.214166 | + | 0.0807142i | ||||
\(514\) | 25235.4 | 2.16554 | ||||||||
\(515\) | −1058.03 | − | 6000.39i | −0.0905289 | − | 0.513415i | ||||
\(516\) | −1007.83 | + | 845.667i | −0.0859827 | + | 0.0721481i | ||||
\(517\) | −9363.70 | + | 3408.11i | −0.796547 | + | 0.289920i | ||||
\(518\) | 38811.3 | + | 14126.2i | 3.29203 | + | 1.19820i | ||||
\(519\) | 1597.46 | + | 1340.42i | 0.135107 | + | 0.113368i | ||||
\(520\) | 5905.05 | − | 10227.8i | 0.497987 | − | 0.862539i | ||||
\(521\) | 7347.85 | + | 12726.8i | 0.617879 | + | 1.07020i | 0.989872 | + | 0.141963i | \(0.0453413\pi\) |
−0.371993 | + | 0.928236i | \(0.621325\pi\) | |||||||
\(522\) | 1543.05 | − | 8751.07i | 0.129382 | − | 0.733763i | ||||
\(523\) | 580.974 | − | 3294.87i | 0.0485741 | − | 0.275477i | −0.950841 | − | 0.309680i | \(-0.899778\pi\) |
0.999415 | + | 0.0342028i | \(0.0108892\pi\) | |||||||
\(524\) | −34.2204 | − | 59.2715i | −0.00285291 | − | 0.00494139i | ||||
\(525\) | −613.822 | + | 1063.17i | −0.0510274 | + | 0.0883821i | ||||
\(526\) | 13288.0 | + | 11149.9i | 1.10149 | + | 0.924259i | ||||
\(527\) | −32.4566 | − | 11.8132i | −0.00268279 | − | 0.000976456i | ||||
\(528\) | 1938.04 | − | 705.389i | 0.159739 | − | 0.0581404i | ||||
\(529\) | −7970.39 | + | 6687.95i | −0.655083 | + | 0.549680i | ||||
\(530\) | 211.674 | + | 1200.46i | 0.0173482 | + | 0.0983865i | ||||
\(531\) | −7753.12 | −0.633629 | ||||||||
\(532\) | −36566.4 | − | 12841.0i | −2.97999 | − | 1.04648i | ||||
\(533\) | 1289.89 | 0.104825 | ||||||||
\(534\) | −596.192 | − | 3381.17i | −0.0483141 | − | 0.274003i | ||||
\(535\) | 1886.31 | − | 1582.80i | 0.152434 | − | 0.127907i | ||||
\(536\) | 13214.5 | − | 4809.67i | 1.06488 | − | 0.387586i | ||||
\(537\) | 58.5096 | + | 21.2957i | 0.00470181 | + | 0.00171132i | ||||
\(538\) | 17018.9 | + | 14280.5i | 1.36382 | + | 1.14438i | ||||
\(539\) | 13372.5 | − | 23161.8i | 1.06863 | − | 1.85093i | ||||
\(540\) | −1905.21 | − | 3299.92i | −0.151828 | − | 0.262974i | ||||
\(541\) | 276.383 | − | 1567.44i | 0.0219642 | − | 0.124565i | −0.971854 | − | 0.235583i | \(-0.924300\pi\) |
0.993818 | + | 0.111018i | \(0.0354111\pi\) | |||||||
\(542\) | 2374.09 | − | 13464.2i | 0.188148 | − | 1.06704i | ||||
\(543\) | −330.164 | − | 571.860i | −0.0260933 | − | 0.0451950i | ||||
\(544\) | −0.334641 | + | 0.579616i | −2.63743e−5 | + | 4.56817e-5i | ||||
\(545\) | 8325.86 | + | 6986.22i | 0.654386 | + | 0.549095i | ||||
\(546\) | 3252.91 | + | 1183.96i | 0.254966 | + | 0.0928001i | ||||
\(547\) | −3803.34 | + | 1384.30i | −0.297293 | + | 0.108206i | −0.486360 | − | 0.873758i | \(-0.661676\pi\) |
0.189068 | + | 0.981964i | \(0.439453\pi\) | |||||||
\(548\) | −10810.7 | + | 9071.29i | −0.842723 | + | 0.707128i | ||||
\(549\) | −54.1190 | − | 306.924i | −0.00420718 | − | 0.0238601i | ||||
\(550\) | −18211.5 | −1.41189 | ||||||||
\(551\) | 5314.23 | + | 1866.20i | 0.410878 | + | 0.144288i | ||||
\(552\) | −992.527 | −0.0765303 | ||||||||
\(553\) | −3573.73 | − | 20267.6i | −0.274811 | − | 1.55853i | ||||
\(554\) | −5376.13 | + | 4511.11i | −0.412292 | + | 0.345954i | ||||
\(555\) | −1201.26 | + | 437.224i | −0.0918753 | + | 0.0334399i | ||||
\(556\) | −29699.1 | − | 10809.6i | −2.26533 | − | 0.824512i | ||||
\(557\) | −6337.57 | − | 5317.86i | −0.482103 | − | 0.404533i | 0.369083 | − | 0.929397i | \(-0.379672\pi\) |
−0.851186 | + | 0.524864i | \(0.824116\pi\) | |||||||
\(558\) | 14126.2 | − | 24467.4i | 1.07171 | − | 1.85625i | ||||
\(559\) | −2769.03 | − | 4796.11i | −0.209513 | − | 0.362887i | ||||
\(560\) | 2442.68 | − | 13853.1i | 0.184325 | − | 1.04536i | ||||
\(561\) | 0.876345 | − | 4.97000i | 6.59525e−5 | − | 0.000374035i | ||||
\(562\) | 20806.6 | + | 36038.0i | 1.56169 | + | 2.70493i | ||||
\(563\) | −6349.65 | + | 10997.9i | −0.475321 | + | 0.823281i | −0.999600 | − | 0.0282659i | \(-0.991002\pi\) |
0.524279 | + | 0.851546i | \(0.324335\pi\) | |||||||
\(564\) | −1389.79 | − | 1166.17i | −0.103760 | − | 0.0870653i | ||||
\(565\) | −14932.2 | − | 5434.86i | −1.11186 | − | 0.404684i | ||||
\(566\) | −31084.3 | + | 11313.8i | −2.30843 | + | 0.840200i | ||||
\(567\) | −15633.6 | + | 13118.1i | −1.15793 | + | 0.971622i | ||||
\(568\) | −1733.19 | − | 9829.41i | −0.128034 | − | 0.726114i | ||||
\(569\) | 2775.56 | 0.204495 | 0.102247 | − | 0.994759i | \(-0.467397\pi\) | ||||
0.102247 | + | 0.994759i | \(0.467397\pi\) | |||||||
\(570\) | 1681.84 | − | 633.847i | 0.123587 | − | 0.0465770i | ||||
\(571\) | 12723.9 | 0.932537 | 0.466269 | − | 0.884643i | \(-0.345598\pi\) | ||||
0.466269 | + | 0.884643i | \(0.345598\pi\) | |||||||
\(572\) | 5951.38 | + | 33751.9i | 0.435034 | + | 2.46720i | ||||
\(573\) | 1043.65 | − | 875.725i | 0.0760891 | − | 0.0638463i | ||||
\(574\) | 4283.96 | − | 1559.23i | 0.311514 | − | 0.113382i | ||||
\(575\) | 2775.46 | + | 1010.18i | 0.201295 | + | 0.0732653i | ||||
\(576\) | 10238.9 | + | 8591.44i | 0.740660 | + | 0.621487i | ||||
\(577\) | 2815.52 | − | 4876.63i | 0.203140 | − | 0.351849i | −0.746399 | − | 0.665499i | \(-0.768219\pi\) |
0.949538 | + | 0.313651i | \(0.101552\pi\) | |||||||
\(578\) | −12047.6 | − | 20867.1i | −0.866981 | − | 1.50165i | ||||
\(579\) | −60.2738 | + | 341.830i | −0.00432624 | + | 0.0245353i | ||||
\(580\) | −1401.42 | + | 7947.84i | −0.100329 | + | 0.568993i | ||||
\(581\) | −17749.9 | − | 30743.8i | −1.26745 | − | 2.19529i | ||||
\(582\) | −583.548 | + | 1010.73i | −0.0415616 | + | 0.0719868i | ||||
\(583\) | −1359.42 | − | 1140.69i | −0.0965718 | − | 0.0810333i | ||||
\(584\) | −30024.4 | − | 10928.0i | −2.12743 | − | 0.774320i | ||||
\(585\) | 7485.91 | − | 2724.65i | 0.529067 | − | 0.192565i | ||||
\(586\) | 29984.7 | − | 25160.1i | 2.11375 | − | 1.77364i | ||||
\(587\) | 3296.82 | + | 18697.2i | 0.231813 | + | 1.31468i | 0.849222 | + | 0.528036i | \(0.177071\pi\) |
−0.617409 | + | 0.786642i | \(0.711818\pi\) | |||||||
\(588\) | 4869.41 | 0.341516 | ||||||||
\(589\) | 13847.8 | + | 11354.4i | 0.968742 | + | 0.794313i | ||||
\(590\) | 10550.6 | 0.736203 | ||||||||
\(591\) | −62.3908 | − | 353.836i | −0.00434250 | − | 0.0246275i | ||||
\(592\) | −14447.0 | + | 12122.5i | −1.00299 | + | 0.841607i | ||||
\(593\) | −2738.32 | + | 996.668i | −0.189628 | + | 0.0690190i | −0.435089 | − | 0.900388i | \(-0.643283\pi\) |
0.245461 | + | 0.969407i | \(0.421061\pi\) | |||||||
\(594\) | 7810.36 | + | 2842.74i | 0.539500 | + | 0.196362i | ||||
\(595\) | −26.3681 | − | 22.1254i | −0.00181678 | − | 0.00152446i | ||||
\(596\) | −12083.1 | + | 20928.5i | −0.830442 | + | 1.43837i | ||||
\(597\) | 333.336 | + | 577.356i | 0.0228518 | + | 0.0395806i | ||||
\(598\) | 1446.21 | − | 8201.87i | 0.0988963 | − | 0.560869i | ||||
\(599\) | 3247.07 | − | 18415.0i | 0.221488 | − | 1.25612i | −0.647797 | − | 0.761813i | \(-0.724310\pi\) |
0.869286 | − | 0.494310i | \(-0.164579\pi\) | |||||||
\(600\) | −831.682 | − | 1440.52i | −0.0565888 | − | 0.0980147i | ||||
\(601\) | 12297.4 | − | 21299.7i | 0.834645 | − | 1.44565i | −0.0596744 | − | 0.998218i | \(-0.519006\pi\) |
0.894319 | − | 0.447429i | \(-0.147660\pi\) | |||||||
\(602\) | −14994.0 | − | 12581.5i | −1.01513 | − | 0.851797i | ||||
\(603\) | 8913.64 | + | 3244.30i | 0.601976 | + | 0.219101i | ||||
\(604\) | 36124.5 | − | 13148.3i | 2.43359 | − | 0.885753i | ||||
\(605\) | −8237.23 | + | 6911.86i | −0.553539 | + | 0.464475i | ||||
\(606\) | 175.863 | + | 997.368i | 0.0117887 | + | 0.0668570i | ||||
\(607\) | 8927.76 | 0.596980 | 0.298490 | − | 0.954413i | \(-0.403517\pi\) | ||||
0.298490 | + | 0.954413i | \(0.403517\pi\) | |||||||
\(608\) | 263.270 | − | 226.051i | 0.0175609 | − | 0.0150782i | ||||
\(609\) | −1186.69 | −0.0789608 | ||||||||
\(610\) | 73.6459 | + | 417.667i | 0.00488825 | + | 0.0277227i | ||||
\(611\) | 5850.28 | − | 4908.97i | 0.387360 | − | 0.325034i | ||||
\(612\) | −64.1975 | + | 23.3660i | −0.00424025 | + | 0.00154332i | ||||
\(613\) | −6800.54 | − | 2475.19i | −0.448077 | − | 0.163087i | 0.108119 | − | 0.994138i | \(-0.465517\pi\) |
−0.556196 | + | 0.831051i | \(0.687740\pi\) | |||||||
\(614\) | −15394.0 | − | 12917.1i | −1.01181 | − | 0.849009i | ||||
\(615\) | −70.5520 | + | 122.200i | −0.00462591 | + | 0.00801231i | ||||
\(616\) | 30382.9 | + | 52624.8i | 1.98728 | + | 3.44206i | ||||
\(617\) | −1209.90 | + | 6861.70i | −0.0789447 | + | 0.447718i | 0.919555 | + | 0.392961i | \(0.128549\pi\) |
−0.998500 | + | 0.0547564i | \(0.982562\pi\) | |||||||
\(618\) | −420.189 | + | 2383.01i | −0.0273503 | + | 0.155111i | ||||
\(619\) | 10772.8 | + | 18659.0i | 0.699508 | + | 1.21158i | 0.968637 | + | 0.248479i | \(0.0799307\pi\) |
−0.269130 | + | 0.963104i | \(0.586736\pi\) | |||||||
\(620\) | −12829.6 | + | 22221.6i | −0.831050 | + | 1.43942i | ||||
\(621\) | −1032.62 | − | 866.475i | −0.0667275 | − | 0.0559911i | ||||
\(622\) | 40036.5 | + | 14572.1i | 2.58090 | + | 0.939369i | ||||
\(623\) | 32034.8 | − | 11659.7i | 2.06011 | − | 0.749818i | ||||
\(624\) | −1210.86 | + | 1016.03i | −0.0776811 | + | 0.0651822i | ||||
\(625\) | −326.584 | − | 1852.15i | −0.0209014 | − | 0.118537i | ||||
\(626\) | −32762.5 | −2.09178 | ||||||||
\(627\) | −1282.47 | + | 2280.69i | −0.0816856 | + | 0.145266i | ||||
\(628\) | −43418.3 | −2.75889 | ||||||||
\(629\) | 8.01351 | + | 45.4469i | 0.000507980 | + | 0.00288090i | ||||
\(630\) | 21568.4 | − | 18098.0i | 1.36398 | − | 1.14451i | ||||
\(631\) | −24103.4 | + | 8772.92i | −1.52067 | + | 0.553478i | −0.961315 | − | 0.275451i | \(-0.911173\pi\) |
−0.559353 | + | 0.828929i | \(0.688950\pi\) | |||||||
\(632\) | 26203.0 | + | 9537.13i | 1.64921 | + | 0.600264i | ||||
\(633\) | −399.881 | − | 335.540i | −0.0251088 | − | 0.0210688i | ||||
\(634\) | −25199.3 | + | 43646.5i | −1.57854 | + | 2.73411i | ||||
\(635\) | −2803.45 | − | 4855.72i | −0.175199 | − | 0.303454i | ||||
\(636\) | 56.1053 | − | 318.189i | 0.00349799 | − | 0.0198381i | ||||
\(637\) | −3559.37 | + | 20186.2i | −0.221393 | + | 1.25558i | ||||
\(638\) | −8801.98 | − | 15245.5i | −0.546197 | − | 0.946041i | ||||
\(639\) | 3366.29 | − | 5830.59i | 0.208401 | − | 0.360962i | ||||
\(640\) | −14123.0 | − | 11850.6i | −0.872284 | − | 0.731933i | ||||
\(641\) | −3534.42 | − | 1286.42i | −0.217786 | − | 0.0792678i | 0.230823 | − | 0.972996i | \(-0.425858\pi\) |
−0.448609 | + | 0.893728i | \(0.648080\pi\) | |||||||
\(642\) | −918.948 | + | 334.470i | −0.0564922 | + | 0.0205615i | ||||
\(643\) | −4012.59 | + | 3366.96i | −0.246098 | + | 0.206501i | −0.757490 | − | 0.652847i | \(-0.773574\pi\) |
0.511392 | + | 0.859348i | \(0.329130\pi\) | |||||||
\(644\) | −3411.34 | − | 19346.7i | −0.208736 | − | 1.18380i | ||||
\(645\) | 605.820 | 0.0369832 | ||||||||
\(646\) | −11.9911 | − | 63.7645i | −0.000730313 | − | 0.00388356i | ||||
\(647\) | 1791.60 | 0.108864 | 0.0544320 | − | 0.998517i | \(-0.482665\pi\) | ||||
0.0544320 | + | 0.998517i | \(0.482665\pi\) | |||||||
\(648\) | −4801.64 | − | 27231.4i | −0.291090 | − | 1.65085i | ||||
\(649\) | −11766.1 | + | 9872.90i | −0.711646 | + | 0.597142i | ||||
\(650\) | 13115.7 | − | 4773.73i | 0.791448 | − | 0.288064i | ||||
\(651\) | −3545.44 | − | 1290.43i | −0.213451 | − | 0.0776899i | ||||
\(652\) | −22810.8 | − | 19140.5i | −1.37015 | − | 1.14970i | ||||
\(653\) | −3041.86 | + | 5268.66i | −0.182293 | + | 0.315741i | −0.942661 | − | 0.333752i | \(-0.891685\pi\) |
0.760368 | + | 0.649492i | \(0.225019\pi\) | |||||||
\(654\) | −2158.20 | − | 3738.11i | −0.129040 | − | 0.223504i | ||||
\(655\) | −5.47265 | + | 31.0369i | −0.000326464 | + | 0.00185147i | ||||
\(656\) | −361.478 | + | 2050.04i | −0.0215142 | + | 0.122013i | ||||
\(657\) | −10776.1 | − | 18664.8i | −0.639905 | − | 1.10835i | ||||
\(658\) | 13495.8 | − | 23375.4i | 0.799574 | − | 1.38490i | ||||
\(659\) | 23608.8 | + | 19810.1i | 1.39555 | + | 1.17101i | 0.963034 | + | 0.269379i | \(0.0868184\pi\) |
0.432515 | + | 0.901627i | \(0.357626\pi\) | |||||||
\(660\) | −3523.05 | − | 1282.28i | −0.207779 | − | 0.0756255i | ||||
\(661\) | −7588.81 | + | 2762.10i | −0.446551 | + | 0.162531i | −0.555501 | − | 0.831516i | \(-0.687474\pi\) |
0.108950 | + | 0.994047i | \(0.465251\pi\) | |||||||
\(662\) | 6516.80 | − | 5468.24i | 0.382602 | − | 0.321041i | ||||
\(663\) | 0.671640 | + | 3.80906i | 3.93429e−5 | + | 0.000223125i | ||||
\(664\) | 48099.5 | 2.81118 | ||||||||
\(665\) | 9097.92 | + | 15353.0i | 0.530530 | + | 0.895285i | ||||
\(666\) | −37747.9 | −2.19625 | ||||||||
\(667\) | 495.774 | + | 2811.67i | 0.0287803 | + | 0.163221i | ||||
\(668\) | 10934.6 | − | 9175.21i | 0.633341 | − | 0.531436i | ||||
\(669\) | 2579.16 | − | 938.739i | 0.149053 | − | 0.0542507i | ||||
\(670\) | −12129.8 | − | 4414.89i | −0.699426 | − | 0.254570i | ||||
\(671\) | −472.970 | − | 396.869i | −0.0272113 | − | 0.0228330i | ||||
\(672\) | −36.5550 | + | 63.3152i | −0.00209842 | + | 0.00363458i | ||||
\(673\) | 4863.53 | + | 8423.89i | 0.278567 | + | 0.482492i | 0.971029 | − | 0.238963i | \(-0.0768073\pi\) |
−0.692462 | + | 0.721454i | \(0.743474\pi\) | |||||||
\(674\) | −7225.20 | + | 40976.2i | −0.412915 | + | 2.34175i | ||||
\(675\) | 392.287 | − | 2224.77i | 0.0223691 | − | 0.126861i | ||||
\(676\) | 4501.02 | + | 7795.99i | 0.256089 | + | 0.443559i | ||||
\(677\) | 13853.0 | − | 23994.0i | 0.786429 | − | 1.36214i | −0.141712 | − | 0.989908i | \(-0.545261\pi\) |
0.928142 | − | 0.372227i | \(-0.121406\pi\) | |||||||
\(678\) | 4834.35 | + | 4056.50i | 0.273838 | + | 0.229777i | ||||
\(679\) | −10889.6 | − | 3963.50i | −0.615472 | − | 0.224013i | ||||
\(680\) | 43.8253 | − | 15.9511i | 0.00247150 | − | 0.000899553i | ||||
\(681\) | 1120.93 | − | 940.570i | 0.0630750 | − | 0.0529262i | ||||
\(682\) | −9719.13 | − | 55119.9i | −0.545696 | − | 3.09479i | ||||
\(683\) | −18109.8 | −1.01457 | −0.507285 | − | 0.861778i | \(-0.669351\pi\) | ||||
−0.507285 | + | 0.861778i | \(0.669351\pi\) | |||||||
\(684\) | 35418.2 | − | 401.961i | 1.97989 | − | 0.0224698i | ||||
\(685\) | 6498.51 | 0.362475 | ||||||||
\(686\) | 4064.78 | + | 23052.5i | 0.226230 | + | 1.28302i | ||||
\(687\) | 103.318 | − | 86.6937i | 0.00573771 | − | 0.00481451i | ||||
\(688\) | 8398.49 | − | 3056.80i | 0.465392 | − | 0.169389i | ||||
\(689\) | 1278.04 | + | 465.170i | 0.0706671 | + | 0.0257207i | ||||
\(690\) | 697.912 | + | 585.618i | 0.0385059 | + | 0.0323103i | ||||
\(691\) | −1319.21 | + | 2284.94i | −0.0726267 | + | 0.125793i | −0.900052 | − | 0.435783i | \(-0.856471\pi\) |
0.827425 | + | 0.561576i | \(0.189805\pi\) | |||||||
\(692\) | −27962.3 | − | 48432.1i | −1.53608 | − | 2.66057i | ||||
\(693\) | −7117.63 | + | 40366.1i | −0.390153 | + | 2.21267i | ||||
\(694\) | 1336.90 | − | 7581.96i | 0.0731242 | − | 0.414708i | ||||
\(695\) | 7276.78 | + | 12603.8i | 0.397157 | + | 0.687896i | ||||
\(696\) | 803.937 | − | 1392.46i | 0.0437833 | − | 0.0758349i | ||||
\(697\) | 3.90206 | + | 3.27421i | 0.000212053 | + | 0.000177934i | ||||
\(698\) | −28697.5 | − | 10445.0i | −1.55618 | − | 0.566405i | ||||
\(699\) | 693.268 | − | 252.329i | 0.0375133 | − | 0.0136537i | ||||
\(700\) | 25220.5 | − | 21162.5i | 1.36178 | − | 1.14267i | ||||
\(701\) | 1096.82 | + | 6220.39i | 0.0590962 | + | 0.335151i | 0.999994 | − | 0.00354027i | \(-0.00112690\pi\) |
−0.940898 | + | 0.338691i | \(0.890016\pi\) | |||||||
\(702\) | −6370.11 | −0.342485 | ||||||||
\(703\) | 3887.08 | − | 23608.4i | 0.208541 | − | 1.26658i | ||||
\(704\) | 26478.8 | 1.41755 | ||||||||
\(705\) | 145.070 | + | 822.734i | 0.00774988 | + | 0.0439517i | ||||
\(706\) | 22708.6 | − | 19054.8i | 1.21055 | − | 1.01577i | ||||
\(707\) | −9449.53 | + | 3439.35i | −0.502668 | + | 0.182956i | ||||
\(708\) | −2627.83 | − | 956.452i | −0.139491 | − | 0.0507707i | ||||
\(709\) | −16129.5 | − | 13534.3i | −0.854382 | − | 0.716911i | 0.106368 | − | 0.994327i | \(-0.466078\pi\) |
−0.960750 | + | 0.277416i | \(0.910522\pi\) | |||||||
\(710\) | −4580.90 | + | 7934.35i | −0.242138 | + | 0.419396i | ||||
\(711\) | 9404.63 | + | 16289.3i | 0.496063 | + | 0.859207i | ||||
\(712\) | −8020.86 | + | 45488.5i | −0.422183 | + | 2.39432i | ||||
\(713\) | −1576.27 | + | 8939.47i | −0.0827935 | + | 0.469545i | ||||
\(714\) | 6.83504 | + | 11.8386i | 0.000358256 | + | 0.000620518i | ||||
\(715\) | 7890.95 | − | 13667.5i | 0.412734 | − | 0.714876i | ||||
\(716\) | −1279.15 | − | 1073.34i | −0.0667656 | − | 0.0560230i | ||||
\(717\) | −1342.90 | − | 488.776i | −0.0699464 | − | 0.0254584i | ||||
\(718\) | −45617.8 | + | 16603.5i | −2.37109 | + | 0.863005i | ||||
\(719\) | 10752.4 | − | 9022.34i | 0.557715 | − | 0.467978i | −0.319829 | − | 0.947475i | \(-0.603625\pi\) |
0.877543 | + | 0.479497i | \(0.159181\pi\) | |||||||
\(720\) | 2232.47 | + | 12661.0i | 0.115555 | + | 0.655343i | ||||
\(721\) | −24026.8 | −1.24106 | ||||||||
\(722\) | −5088.06 | + | 33252.3i | −0.262268 | + | 1.71402i | ||||
\(723\) | −914.746 | −0.0470536 | ||||||||
\(724\) | 3075.09 | + | 17439.7i | 0.157852 | + | 0.895222i | ||||
\(725\) | −3665.32 | + | 3075.57i | −0.187761 | + | 0.157550i | ||||
\(726\) | 4012.92 | − | 1460.58i | 0.205142 | − | 0.0746657i | ||||
\(727\) | −3622.30 | − | 1318.41i | −0.184792 | − | 0.0672587i | 0.247967 | − | 0.968769i | \(-0.420238\pi\) |
−0.432759 | + | 0.901510i | \(0.642460\pi\) | |||||||
\(728\) | −35675.9 | − | 29935.6i | −1.81626 | − | 1.52402i | ||||
\(729\) | 9066.50 | − | 15703.6i | 0.460626 | − | 0.797828i | ||||
\(730\) | 14664.3 | + | 25399.4i | 0.743495 | + | 1.28777i | ||||
\(731\) | 3.79764 | − | 21.5375i | 0.000192149 | − | 0.00108973i | ||||
\(732\) | 19.5202 | − | 110.705i | 0.000985639 | − | 0.00558984i | ||||
\(733\) | −6023.55 | − | 10433.1i | −0.303526 | − | 0.525723i | 0.673406 | − | 0.739273i | \(-0.264831\pi\) |
−0.976932 | + | 0.213550i | \(0.931497\pi\) | |||||||
\(734\) | −21834.3 | + | 37818.1i | −1.09798 | + | 1.90176i | ||||
\(735\) | −1717.68 | − | 1441.31i | −0.0862008 | − | 0.0723311i | ||||
\(736\) | 165.287 | + | 60.1595i | 0.00827793 | + | 0.00301292i | ||||
\(737\) | 17658.6 | − | 6427.19i | 0.882580 | − | 0.321233i | ||||
\(738\) | −3191.78 | + | 2678.22i | −0.159202 | + | 0.133586i | ||||
\(739\) | 4354.89 | + | 24697.8i | 0.216776 | + | 1.22940i | 0.877798 | + | 0.479030i | \(0.159012\pi\) |
−0.661023 | + | 0.750366i | \(0.729877\pi\) | |||||||
\(740\) | 34283.1 | 1.70307 | ||||||||
\(741\) | 325.790 | − | 1978.70i | 0.0161514 | − | 0.0980963i | ||||
\(742\) | 4806.90 | 0.237826 | ||||||||
\(743\) | −34.8023 | − | 197.374i | −0.00171840 | − | 0.00974554i | 0.983936 | − | 0.178519i | \(-0.0571305\pi\) |
−0.985655 | + | 0.168773i | \(0.946019\pi\) | |||||||
\(744\) | 3916.09 | − | 3285.99i | 0.192972 | − | 0.161922i | ||||
\(745\) | 10457.0 | − | 3806.03i | 0.514247 | − | 0.187171i | ||||
\(746\) | 36515.8 | + | 13290.7i | 1.79214 | + | 0.652286i | ||||
\(747\) | 24854.2 | + | 20855.2i | 1.21736 | + | 1.02149i | ||||
\(748\) | −67.6710 | + | 117.210i | −0.00330788 | + | 0.00572942i | ||||
\(749\) | −4855.07 | − | 8409.23i | −0.236850 | − | 0.410236i | ||||
\(750\) | −736.191 | + | 4175.15i | −0.0358425 | + | 0.203273i | ||||
\(751\) | 3146.09 | − | 17842.4i | 0.152866 | − | 0.866947i | −0.807845 | − | 0.589396i | \(-0.799366\pi\) |
0.960711 | − | 0.277552i | \(-0.0895229\pi\) | |||||||
\(752\) | 6162.40 | + | 10673.6i | 0.298829 | + | 0.517588i | ||||
\(753\) | 1634.72 | − | 2831.42i | 0.0791135 | − | 0.137029i | ||||
\(754\) | 10335.4 | + | 8672.39i | 0.499193 | + | 0.418873i | ||||
\(755\) | −16634.7 | − | 6054.52i | −0.801851 | − | 0.291850i | ||||
\(756\) | −14119.7 | + | 5139.16i | −0.679272 | + | 0.247235i | ||||
\(757\) | 15248.9 | − | 12795.4i | 0.732143 | − | 0.614341i | −0.198572 | − | 0.980086i | \(-0.563630\pi\) |
0.930715 | + | 0.365745i | \(0.119186\pi\) | |||||||
\(758\) | −482.300 | − | 2735.26i | −0.0231107 | − | 0.131067i | ||||
\(759\) | −1326.32 | −0.0634286 | ||||||||
\(760\) | −24178.7 | + | 274.404i | −1.15402 | + | 0.0130969i | ||||
\(761\) | −34118.1 | −1.62520 | −0.812602 | − | 0.582819i | \(-0.801950\pi\) | ||||
−0.812602 | + | 0.582819i | \(0.801950\pi\) | |||||||
\(762\) | 386.669 | + | 2192.91i | 0.0183826 | + | 0.104253i | ||||
\(763\) | 32831.9 | − | 27549.3i | 1.55779 | − | 1.30714i | ||||
\(764\) | −34333.2 | + | 12496.2i | −1.62582 | + | 0.591752i | ||||
\(765\) | 29.5617 | + | 10.7596i | 0.00139713 | + | 0.000508515i | ||||
\(766\) | 9005.60 | + | 7556.59i | 0.424785 | + | 0.356437i | ||||
\(767\) | 5885.84 | − | 10194.6i | 0.277086 | − | 0.479928i | ||||
\(768\) | 2459.68 | + | 4260.29i | 0.115568 | + | 0.200169i | ||||
\(769\) | 4352.49 | − | 24684.2i | 0.204103 | − | 1.15752i | −0.694743 | − | 0.719258i | \(-0.744482\pi\) |
0.898846 | − | 0.438265i | \(-0.144407\pi\) | |||||||
\(770\) | 9685.77 | − | 54930.7i | 0.453313 | − | 2.57087i | ||||
\(771\) | 1540.03 | + | 2667.41i | 0.0719361 | + | 0.124597i | ||||
\(772\) | 4654.32 | − | 8061.52i | 0.216985 | − | 0.375830i | ||||
\(773\) | −5471.15 | − | 4590.84i | −0.254571 | − | 0.213611i | 0.506566 | − | 0.862201i | \(-0.330915\pi\) |
−0.761138 | + | 0.648590i | \(0.775359\pi\) | |||||||
\(774\) | 16810.1 | + | 6118.36i | 0.780652 | + | 0.284134i | ||||
\(775\) | −14295.2 | + | 5203.04i | −0.662580 | + | 0.241159i | ||||
\(776\) | 12028.1 | − | 10092.7i | 0.556420 | − | 0.466892i | ||||
\(777\) | 875.367 | + | 4964.45i | 0.0404165 | + | 0.229213i | ||||
\(778\) | 55401.0 | 2.55298 | ||||||||
\(779\) | −1346.35 | − | 2272.00i | −0.0619229 | − | 0.104497i | ||||
\(780\) | 2873.39 | 0.131902 | ||||||||
\(781\) | −2316.07 | − | 13135.1i | −0.106115 | − | 0.601807i | ||||
\(782\) | 25.1942 | − | 21.1405i | 0.00115210 | − | 0.000966728i | ||||
\(783\) | 2052.03 | − | 746.879i | 0.0936573 | − | 0.0340885i | ||||
\(784\) | −31084.7 | − | 11313.9i | −1.41603 | − | 0.515392i | ||||
\(785\) | 15315.8 | + | 12851.5i | 0.696361 | + | 0.584317i | ||||
\(786\) | 6.25813 | − | 10.8394i | 0.000283995 | − | 0.000491894i | ||||
\(787\) | 2634.37 | + | 4562.86i | 0.119320 | + | 0.206669i | 0.919499 | − | 0.393093i | \(-0.128595\pi\) |
−0.800178 | + | 0.599762i | \(0.795262\pi\) | |||||||
\(788\) | −1673.20 | + | 9489.20i | −0.0756413 | + | 0.428983i | ||||
\(789\) | −367.640 | + | 2084.99i | −0.0165885 | + | 0.0940781i | ||||
\(790\) | −12798.0 | − | 22166.7i | −0.576368 | − | 0.998299i | ||||
\(791\) | −31331.0 | + | 54266.9i | −1.40835 | + | 2.43933i | ||||
\(792\) | −42543.5 | − | 35698.3i | −1.90874 | − | 1.60162i | ||||
\(793\) | 444.659 | + | 161.843i | 0.0199121 | + | 0.00724741i | ||||
\(794\) | 7883.61 | − | 2869.40i | 0.352366 | − | 0.128251i | ||||
\(795\) | −113.972 | + | 95.6342i | −0.00508451 | + | 0.00426641i | ||||
\(796\) | −3104.63 | − | 17607.3i | −0.138242 | − | 0.784011i | ||||
\(797\) | 25762.7 | 1.14500 | 0.572498 | − | 0.819906i | \(-0.305974\pi\) | ||||
0.572498 | + | 0.819906i | \(0.305974\pi\) | |||||||
\(798\) | −1309.86 | − | 6965.41i | −0.0581060 | − | 0.308988i | ||||
\(799\) | 30.1584 | 0.00133533 | ||||||||
\(800\) | 51.1880 | + | 290.302i | 0.00226221 | + | 0.0128296i | ||||
\(801\) | −23867.7 | + | 20027.4i | −1.05284 | + | 0.883436i | ||||
\(802\) | −42440.8 | + | 15447.2i | −1.86863 | + | 0.680124i | ||||
\(803\) | −40121.7 | − | 14603.1i | −1.76322 | − | 0.641759i | ||||
\(804\) | 2620.95 | + | 2199.23i | 0.114967 | + | 0.0964689i | ||||
\(805\) | −4523.11 | + | 7834.26i | −0.198036 | + | 0.343008i | ||||
\(806\) | 21448.1 | + | 37149.1i | 0.937315 | + | 1.62348i | ||||
\(807\) | −470.864 | + | 2670.40i | −0.0205393 | + | 0.116484i | ||||
\(808\) | 2365.97 | − | 13418.1i | 0.103013 | − | 0.584216i | ||||
\(809\) | −740.433 | − | 1282.47i | −0.0321783 | − | 0.0557344i | 0.849488 | − | 0.527608i | \(-0.176911\pi\) |
−0.881666 | + | 0.471874i | \(0.843578\pi\) | |||||||
\(810\) | −12690.9 | + | 21981.3i | −0.550511 | + | 0.953513i | ||||
\(811\) | −27059.9 | − | 22705.9i | −1.17164 | − | 0.983124i | −0.171644 | − | 0.985159i | \(-0.554908\pi\) |
−0.999998 | + | 0.00203518i | \(0.999352\pi\) | |||||||
\(812\) | 29905.5 | + | 10884.7i | 1.29246 | + | 0.470417i | ||||
\(813\) | 1568.05 | − | 570.725i | 0.0676434 | − | 0.0246202i | ||||
\(814\) | −57285.7 | + | 48068.4i | −2.46666 | + | 2.06978i | ||||
\(815\) | 2381.05 | + | 13503.6i | 0.102337 | + | 0.580382i | ||||
\(816\) | −6.24200 | −0.000267786 | ||||||||
\(817\) | −5557.58 | + | 9883.36i | −0.237987 | + | 0.423225i | ||||
\(818\) | 52992.2 | 2.26507 | ||||||||
\(819\) | −5455.02 | − | 30937.0i | −0.232740 | − | 1.31993i | ||||
\(820\) | 2898.82 | − | 2432.40i | 0.123453 | − | 0.103589i | ||||
\(821\) | 25174.3 | − | 9162.69i | 1.07014 | − | 0.389501i | 0.253913 | − | 0.967227i | \(-0.418282\pi\) |
0.816230 | + | 0.577726i | \(0.196060\pi\) | |||||||
\(822\) | −2425.19 | − | 882.698i | −0.102906 | − | 0.0374545i | ||||
\(823\) | −18047.9 | − | 15144.0i | −0.764413 | − | 0.641418i | 0.174859 | − | 0.984594i | \(-0.444053\pi\) |
−0.939271 | + | 0.343175i | \(0.888498\pi\) | |||||||
\(824\) | 16277.2 | − | 28192.9i | 0.688159 | − | 1.19193i | ||||
\(825\) | −1111.38 | − | 1924.97i | −0.0469010 | − | 0.0812349i | ||||
\(826\) | 7224.59 | − | 40972.7i | 0.304329 | − | 1.72594i | ||||
\(827\) | 2209.39 | − | 12530.1i | 0.0928997 | − | 0.526860i | −0.902471 | − | 0.430750i | \(-0.858249\pi\) |
0.995371 | − | 0.0961097i | \(-0.0306400\pi\) | |||||||
\(828\) | 8977.29 | + | 15549.1i | 0.376790 | + | 0.652620i | ||||
\(829\) | 11425.4 | − | 19789.4i | 0.478675 | − | 0.829089i | −0.521026 | − | 0.853541i | \(-0.674451\pi\) |
0.999701 | + | 0.0244514i | \(0.00778390\pi\) | |||||||
\(830\) | −33822.0 | − | 28380.0i | −1.41443 | − | 1.18685i | ||||
\(831\) | −804.914 | − | 292.965i | −0.0336007 | − | 0.0122296i | ||||
\(832\) | −19069.8 | + | 6940.83i | −0.794622 | + | 0.289219i | ||||
\(833\) | −62.0073 | + | 52.0303i | −0.00257914 | + | 0.00216416i | ||||
\(834\) | −1003.66 | − | 5692.04i | −0.0416713 | − | 0.236330i | ||||
\(835\) | −6572.95 | −0.272415 | ||||||||
\(836\) | 53238.4 | − | 45711.8i | 2.20250 | − | 1.89112i | ||||
\(837\) | 6942.97 | 0.286719 | ||||||||
\(838\) | 13056.2 | + | 74045.3i | 0.538208 | + | 3.05233i | ||||
\(839\) | 5552.00 | − | 4658.68i | 0.228458 | − | 0.191699i | −0.521372 | − | 0.853329i | \(-0.674580\pi\) |
0.749830 | + | 0.661630i | \(0.230135\pi\) | |||||||
\(840\) | 4787.31 | − | 1742.44i | 0.196640 | − | 0.0715713i | ||||
\(841\) | 18572.0 | + | 6759.64i | 0.761490 | + | 0.277160i | ||||
\(842\) | 618.090 | + | 518.639i | 0.0252979 | + | 0.0212274i | ||||
\(843\) | −2539.50 | + | 4398.54i | −0.103754 | + | 0.179708i | ||||
\(844\) | 6999.62 | + | 12123.7i | 0.285470 | + | 0.494449i | ||||
\(845\) | 719.818 | − | 4082.29i | 0.0293047 | − | 0.166195i | ||||
\(846\) | −4283.69 | + | 24294.0i | −0.174085 | + | 0.987288i | ||||
\(847\) | 21201.4 | + | 36721.9i | 0.860082 | + | 1.48971i | ||||
\(848\) | −1097.46 | + | 1900.85i | −0.0444420 | + | 0.0769758i | ||||
\(849\) | −3092.84 | − | 2595.20i | −0.125025 | − | 0.104908i | ||||
\(850\) | 51.7938 | + | 18.8514i | 0.00209001 | + | 0.000760703i | ||||
\(851\) | 11396.8 | − | 4148.08i | 0.459079 | − | 0.167091i | ||||
\(852\) | 1860.25 | − | 1560.93i | 0.0748017 | − | 0.0627661i | ||||
\(853\) | 6179.49 | + | 35045.6i | 0.248044 | + | 1.40673i | 0.813315 | + | 0.581823i | \(0.197660\pi\) |
−0.565271 | + | 0.824905i | \(0.691229\pi\) | |||||||
\(854\) | 1672.42 | 0.0670130 | ||||||||
\(855\) | −12612.7 | − | 10341.7i | −0.504498 | − | 0.413659i | ||||
\(856\) | 13156.5 | 0.525327 | ||||||||
\(857\) | 6165.17 | + | 34964.4i | 0.245739 | + | 1.39365i | 0.818771 | + | 0.574121i | \(0.194656\pi\) |
−0.573032 | + | 0.819533i | \(0.694233\pi\) | |||||||
\(858\) | −4801.32 | + | 4028.78i | −0.191042 | + | 0.160303i | ||||
\(859\) | −25869.5 | + | 9415.74i | −1.02754 | + | 0.373994i | −0.800144 | − | 0.599808i | \(-0.795244\pi\) |
−0.227397 | + | 0.973802i | \(0.573021\pi\) | |||||||
\(860\) | −15267.1 | − | 5556.78i | −0.605354 | − | 0.220331i | ||||
\(861\) | 426.247 | + | 357.663i | 0.0168716 | + | 0.0141570i | ||||
\(862\) | 31594.9 | − | 54724.0i | 1.24841 | − | 2.16231i | ||||
\(863\) | −13821.9 | − | 23940.2i | −0.545195 | − | 0.944305i | −0.998595 | − | 0.0529979i | \(-0.983122\pi\) |
0.453400 | − | 0.891307i | \(-0.350211\pi\) | |||||||
\(864\) | 23.3619 | − | 132.492i | 0.000919893 | − | 0.00521697i | ||||
\(865\) | −4471.82 | + | 25361.0i | −0.175776 | + | 0.996877i | ||||
\(866\) | −25968.3 | − | 44978.4i | −1.01898 | − | 1.76493i | ||||
\(867\) | 1470.45 | − | 2546.89i | 0.0575997 | − | 0.0997656i | ||||
\(868\) | 77511.5 | + | 65039.8i | 3.03100 | + | 2.54331i | ||||
\(869\) | 35015.3 | + | 12744.5i | 1.36687 | + | 0.497501i | ||||
\(870\) | −1386.89 | + | 504.787i | −0.0540460 | + | 0.0196711i | ||||
\(871\) | −11032.8 | + | 9257.60i | −0.429198 | + | 0.360140i | ||||
\(872\) | 10083.9 | + | 57188.5i | 0.391609 | + | 2.22092i | ||||
\(873\) | 10591.2 | 0.410607 | ||||||||
\(874\) | −15956.2 | + | 6013.50i | −0.617535 | + | 0.232734i | ||||
\(875\) | −42096.0 | −1.62640 | ||||||||
\(876\) | −1349.89 | − | 7655.61i | −0.0520646 | − | 0.295273i | ||||
\(877\) | −23394.5 | + | 19630.3i | −0.900770 | + | 0.755836i | −0.970341 | − | 0.241741i | \(-0.922282\pi\) |
0.0695706 | + | 0.997577i | \(0.477837\pi\) | |||||||
\(878\) | 69480.5 | − | 25288.8i | 2.67067 | − | 0.972046i | ||||
\(879\) | 4489.31 | + | 1633.97i | 0.172265 | + | 0.0626992i | ||||
\(880\) | 19510.6 | + | 16371.3i | 0.747388 | + | 0.627133i | ||||
\(881\) | 4483.15 | − | 7765.04i | 0.171443 | − | 0.296948i | −0.767482 | − | 0.641071i | \(-0.778490\pi\) |
0.938925 | + | 0.344123i | \(0.111824\pi\) | |||||||
\(882\) | −33105.4 | − | 57340.2i | −1.26385 | − | 2.18905i | ||||
\(883\) | 2935.50 | − | 16648.0i | 0.111877 | − | 0.634486i | −0.876372 | − | 0.481635i | \(-0.840043\pi\) |
0.988249 | − | 0.152851i | \(-0.0488456\pi\) | |||||||
\(884\) | 18.0121 | − | 102.152i | 0.000685308 | − | 0.00388657i | ||||
\(885\) | 643.863 | + | 1115.20i | 0.0244556 | + | 0.0423584i | ||||
\(886\) | −889.348 | + | 1540.40i | −0.0337226 | + | 0.0584093i | ||||
\(887\) | 25811.5 | + | 21658.4i | 0.977075 | + | 0.819863i | 0.983645 | − | 0.180115i | \(-0.0576471\pi\) |
−0.00657087 | + | 0.999978i | \(0.502092\pi\) | |||||||
\(888\) | −6418.31 | − | 2336.07i | −0.242550 | − | 0.0882809i | ||||
\(889\) | −20776.7 | + | 7562.09i | −0.783832 | + | 0.285292i | ||||
\(890\) | 32479.5 | − | 27253.5i | 1.22328 | − | 1.02645i | ||||
\(891\) | −6416.45 | − | 36389.5i | −0.241256 | − | 1.36823i | ||||
\(892\) | −73607.2 | −2.76295 | ||||||||
\(893\) | −14752.9 | − | 5180.79i | −0.552842 | − | 0.194142i | ||||
\(894\) | −4419.44 | −0.165334 | ||||||||
\(895\) | 133.521 | + | 757.237i | 0.00498673 | + | 0.0282812i | ||||
\(896\) | −55692.3 | + | 46731.4i | −2.07651 | + | 1.74240i | ||||
\(897\) | 955.202 | − | 347.665i | 0.0355555 | − | 0.0129411i | ||||
\(898\) | −58003.1 | − | 21111.4i | −2.15544 | − | 0.784517i | ||||
\(899\) | −11264.8 | − | 9452.30i | −0.417912 | − | 0.350669i | ||||
\(900\) | −15044.9 | + | 26058.6i | −0.557220 | + | 0.965133i | ||||
\(901\) | 2.68544 | + | 4.65132i | 9.92953e−5 | + | 0.000171984i | ||||
\(902\) | −1433.34 | + | 8128.89i | −0.0529103 | + | 0.300069i | ||||
\(903\) | 414.841 | − | 2352.68i | 0.0152880 | − | 0.0867024i | ||||
\(904\) | −42451.1 | − | 73527.5i | −1.56184 | − | 2.70518i | ||||
\(905\) | 4077.27 | − | 7062.03i | 0.149760 | − | 0.259392i | ||||
\(906\) | 5385.54 | + | 4519.01i | 0.197486 | + | 0.165711i | ||||
\(907\) | 40322.1 | + | 14676.1i | 1.47616 | + | 0.537277i | 0.949765 | − | 0.312965i | \(-0.101322\pi\) |
0.526392 | + | 0.850242i | \(0.323544\pi\) | |||||||
\(908\) | −36875.4 | + | 13421.6i | −1.34775 | + | 0.490540i | ||||
\(909\) | 7040.42 | − | 5907.61i | 0.256893 | − | 0.215559i | ||||
\(910\) | 7423.28 | + | 42099.5i | 0.270417 | + | 1.53361i | ||||
\(911\) | 11606.2 | 0.422097 | 0.211048 | − | 0.977476i | \(-0.432312\pi\) | ||||
0.211048 | + | 0.977476i | \(0.432312\pi\) | |||||||
\(912\) | 3053.47 | + | 1072.29i | 0.110867 | + | 0.0389331i | ||||
\(913\) | 64275.7 | 2.32992 | ||||||||
\(914\) | −16368.6 | − | 92831.0i | −0.592369 | − | 3.35949i | ||||
\(915\) | −39.6534 | + | 33.2731i | −0.00143268 | + | 0.00120216i | ||||
\(916\) | −3398.86 | + | 1237.08i | −0.122600 | + | 0.0446227i | ||||
\(917\) | 116.783 | + | 42.5056i | 0.00420559 | + | 0.00153071i | ||||
\(918\) | −19.2702 | − | 16.1696i | −0.000692822 | − | 0.000581347i | ||||
\(919\) | −11281.4 | + | 19539.9i | −0.404938 | + | 0.701373i | −0.994314 | − | 0.106485i | \(-0.966040\pi\) |
0.589376 | + | 0.807859i | \(0.299374\pi\) | |||||||
\(920\) | −6128.46 | − | 10614.8i | −0.219619 | − | 0.380391i | ||||
\(921\) | 425.908 | − | 2415.44i | 0.0152379 | − | 0.0864186i | ||||
\(922\) | −5403.07 | + | 30642.3i | −0.192994 | + | 1.09452i | ||||
\(923\) | 5111.09 | + | 8852.66i | 0.182268 | + | 0.315698i | ||||
\(924\) | −7392.14 | + | 12803.6i | −0.263186 | + | 0.455851i | ||||
\(925\) | 15570.2 | + | 13065.0i | 0.553455 | + | 0.464404i | ||||
\(926\) | 24570.2 | + | 8942.81i | 0.871951 | + | 0.317364i | ||||
\(927\) | 20634.8 | − | 7510.47i | 0.731108 | − | 0.266102i | ||||
\(928\) | −218.281 | + | 183.160i | −0.00772138 | + | 0.00647900i | ||||
\(929\) | −7163.93 | − | 40628.7i | −0.253004 | − | 1.43486i | −0.801144 | − | 0.598472i | \(-0.795775\pi\) |
0.548139 | − | 0.836387i | \(-0.315336\pi\) | |||||||
\(930\) | −4692.49 | −0.165455 | ||||||||
\(931\) | 39270.9 | − | 14800.3i | 1.38244 | − | 0.521008i | ||||
\(932\) | −19785.3 | −0.695375 | ||||||||
\(933\) | 903.001 | + | 5121.17i | 0.0316859 | + | 0.179700i | ||||
\(934\) | 21819.9 | − | 18309.1i | 0.764421 | − | 0.641426i | ||||
\(935\) | 58.5640 | − | 21.3155i | 0.00204839 | − | 0.000745554i | ||||
\(936\) | 39996.9 | + | 14557.7i | 1.39673 | + | 0.508369i | ||||
\(937\) | −37364.5 | − | 31352.5i | −1.30271 | − | 1.09311i | −0.989669 | − | 0.143369i | \(-0.954206\pi\) |
−0.313045 | − | 0.949738i | \(-0.601349\pi\) | |||||||
\(938\) | −25451.0 | + | 44082.5i | −0.885934 | + | 1.53448i | ||||
\(939\) | −1999.38 | − | 3463.03i | −0.0694859 | − | 0.120353i | ||||
\(940\) | 3890.51 | − | 22064.2i | 0.134994 | − | 0.765589i | ||||
\(941\) | 592.705 | − | 3361.39i | 0.0205331 | − | 0.116449i | −0.972819 | − | 0.231569i | \(-0.925614\pi\) |
0.993352 | + | 0.115120i | \(0.0367253\pi\) | |||||||
\(942\) | −3970.11 | − | 6876.43i | −0.137318 | − | 0.237841i | ||||
\(943\) | 669.349 | − | 1159.35i | 0.0231145 | − | 0.0400355i | ||||
\(944\) | 14552.9 | + | 12211.3i | 0.501755 | + | 0.421022i | ||||
\(945\) | 6501.87 | + | 2366.49i | 0.223816 | + | 0.0814622i | ||||
\(946\) | 33301.9 | − | 12120.9i | 1.14454 | − | 0.416580i | ||||
\(947\) | −36827.9 | + | 30902.3i | −1.26372 | + | 1.06039i | −0.268449 | + | 0.963294i | \(0.586511\pi\) |
−0.995275 | + | 0.0970969i | \(0.969044\pi\) | |||||||
\(948\) | 1178.09 | + | 6681.25i | 0.0403612 | + | 0.228900i | ||||
\(949\) | 32723.2 | 1.11932 | ||||||||
\(950\) | −22098.2 | − | 18119.2i | −0.754693 | − | 0.618805i | ||||
\(951\) | −6151.29 | −0.209747 | ||||||||
\(952\) | −31.9357 | − | 181.116i | −0.00108723 | − | 0.00616598i | ||||
\(953\) | −16480.5 | + | 13828.8i | −0.560184 | + | 0.470050i | −0.878372 | − | 0.477978i | \(-0.841370\pi\) |
0.318188 | + | 0.948028i | \(0.396926\pi\) | |||||||
\(954\) | −4128.30 | + | 1502.58i | −0.140103 | + | 0.0509935i | ||||
\(955\) | 15809.8 | + | 5754.29i | 0.535699 | + | 0.194978i | ||||
\(956\) | 29358.9 | + | 24635.1i | 0.993238 | + | 0.833425i | ||||
\(957\) | 1074.31 | − | 1860.75i | 0.0362878 | − | 0.0628522i | ||||
\(958\) | −19219.8 | − | 33289.7i | −0.648189 | − | 1.12270i | ||||
\(959\) | 4449.91 | − | 25236.7i | 0.149838 | − | 0.849776i | ||||
\(960\) | 385.492 | − | 2186.23i | 0.0129601 | − | 0.0735004i | ||||
\(961\) | −8481.40 | − | 14690.2i | −0.284697 | − | 0.493109i | ||||
\(962\) | 28656.5 | − | 49634.6i | 0.960420 | − | 1.66350i | ||||
\(963\) | 6798.29 | + | 5704.44i | 0.227489 | + | 0.190886i | ||||
\(964\) | 23052.3 | + | 8390.35i | 0.770191 | + | 0.280327i | ||||
\(965\) | −4027.95 | + | 1466.05i | −0.134367 | + | 0.0489056i | ||||
\(966\) | 2752.13 | − | 2309.31i | 0.0916648 | − | 0.0769159i | ||||
\(967\) | −7269.67 | − | 41228.4i | −0.241755 | − | 1.37106i | −0.827910 | − | 0.560861i | \(-0.810470\pi\) |
0.586155 | − | 0.810199i | \(-0.300641\pi\) | |||||||
\(968\) | −57452.6 | −1.90764 | ||||||||
\(969\) | 6.00819 | − | 5.15879i | 0.000199186 | − | 0.000171026i | ||||
\(970\) | −14412.7 | −0.477077 | ||||||||
\(971\) | 6597.37 | + | 37415.5i | 0.218043 | + | 1.23658i | 0.875548 | + | 0.483132i | \(0.160501\pi\) |
−0.657505 | + | 0.753450i | \(0.728388\pi\) | |||||||
\(972\) | 15815.1 | − | 13270.4i | 0.521882 | − | 0.437911i | ||||
\(973\) | 53929.0 | − | 19628.6i | 1.77686 | − | 0.646724i | ||||
\(974\) | −4180.80 | − | 1521.69i | −0.137537 | − | 0.0500595i | ||||
\(975\) | 1304.99 | + | 1095.02i | 0.0428649 | + | 0.0359679i | ||||
\(976\) | −381.828 | + | 661.346i | −0.0125226 | + | 0.0216897i | ||||
\(977\) | 17478.5 | + | 30273.6i | 0.572350 | + | 0.991339i | 0.996324 | + | 0.0856649i | \(0.0273015\pi\) |
−0.423974 | + | 0.905674i | \(0.639365\pi\) | |||||||
\(978\) | 945.618 | − | 5362.87i | 0.0309177 | − | 0.175343i | ||||
\(979\) | −10718.3 | + | 60786.6i | −0.349907 | + | 1.98442i | ||||
\(980\) | 30066.7 | + | 52077.1i | 0.980047 | + | 1.69749i | ||||
\(981\) | −19585.4 | + | 33922.9i | −0.637425 | + | 1.10405i | ||||
\(982\) | −45917.8 | − | 38529.6i | −1.49215 | − | 1.25207i | ||||
\(983\) | −43607.8 | − | 15871.9i | −1.41493 | − | 0.514991i | −0.482354 | − | 0.875976i | \(-0.660218\pi\) |
−0.932571 | + | 0.360986i | \(0.882440\pi\) | |||||||
\(984\) | −708.447 | + | 257.854i | −0.0229517 | + | 0.00835373i | ||||
\(985\) | 3398.94 | − | 2852.05i | 0.109949 | − | 0.0922578i | ||||
\(986\) | 9.25182 | + | 52.4697i | 0.000298821 | + | 0.00169470i | ||||
\(987\) | 3294.39 | 0.106243 | ||||||||
\(988\) | −26359.4 | + | 46876.5i | −0.848790 | + | 1.50945i | ||||
\(989\) | −5747.60 | −0.184796 | ||||||||
\(990\) | 8852.27 | + | 50203.7i | 0.284185 | + | 1.61170i | ||||
\(991\) | 8935.82 | − | 7498.04i | 0.286434 | − | 0.240346i | −0.488237 | − | 0.872711i | \(-0.662360\pi\) |
0.774671 | + | 0.632365i | \(0.217916\pi\) | |||||||
\(992\) | −851.325 | + | 309.857i | −0.0272476 | + | 0.00991730i | ||||
\(993\) | 975.695 | + | 355.124i | 0.0311810 | + | 0.0113490i | ||||
\(994\) | 27675.9 | + | 23222.9i | 0.883126 | + | 0.741031i | ||||
\(995\) | −4116.44 | + | 7129.89i | −0.131156 | + | 0.227169i | ||||
\(996\) | 5851.29 | + | 10134.7i | 0.186150 | + | 0.322421i | ||||
\(997\) | −877.467 | + | 4976.36i | −0.0278733 | + | 0.158077i | −0.995568 | − | 0.0940494i | \(-0.970019\pi\) |
0.967694 | + | 0.252127i | \(0.0811299\pi\) | |||||||
\(998\) | −14925.3 | + | 84645.4i | −0.473398 | + | 2.68477i | ||||
\(999\) | −4638.22 | − | 8033.63i | −0.146894 | − | 0.254427i |
(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 | 19.4.e.a.9.1 | ✓ | 24 | |
3.2 | odd | 2 | 171.4.u.b.28.4 | 24 | |||
19.6 | even | 9 | 361.4.a.n.1.1 | 12 | |||
19.13 | odd | 18 | 361.4.a.m.1.12 | 12 | |||
19.17 | even | 9 | inner | 19.4.e.a.17.1 | yes | 24 | |
57.17 | odd | 18 | 171.4.u.b.55.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
19.4.e.a.9.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
19.4.e.a.17.1 | yes | 24 | 19.17 | even | 9 | inner | |
171.4.u.b.28.4 | 24 | 3.2 | odd | 2 | |||
171.4.u.b.55.4 | 24 | 57.17 | odd | 18 | |||
361.4.a.m.1.12 | 12 | 19.13 | odd | 18 | |||
361.4.a.n.1.1 | 12 | 19.6 | even | 9 |