Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,6,Mod(3,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.e (of order \(4\), degree \(2\), 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: | \(3.20767639626\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 20.7 |
Dual form | 20.6.e.b.3.8 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.294699 | + | 5.64917i | 0.0520959 | + | 0.998642i | ||||
\(3\) | 20.2176 | + | 20.2176i | 1.29696 | + | 1.29696i | 0.930392 | + | 0.366567i | \(0.119467\pi\) |
0.366567 | + | 0.930392i | \(0.380533\pi\) | |||||||
\(4\) | −31.8263 | + | 3.32961i | −0.994572 | + | 0.104050i | ||||
\(5\) | 16.5333 | − | 53.4008i | 0.295757 | − | 0.955263i | ||||
\(6\) | −108.255 | + | 120.171i | −1.22763 | + | 1.36276i | ||||
\(7\) | −9.02060 | + | 9.02060i | −0.0695809 | + | 0.0695809i | −0.741041 | − | 0.671460i | \(-0.765668\pi\) |
0.671460 | + | 0.741041i | \(0.265668\pi\) | |||||||
\(8\) | −28.1887 | − | 178.811i | −0.155722 | − | 0.987801i | ||||
\(9\) | 574.502i | 2.36420i | ||||||||
\(10\) | 306.543 | + | 77.6625i | 0.969374 | + | 0.245590i | ||||
\(11\) | − | 200.964i | − | 0.500769i | −0.968146 | − | 0.250385i | \(-0.919443\pi\) | ||
0.968146 | − | 0.250385i | \(-0.0805570\pi\) | |||||||
\(12\) | −710.768 | − | 576.134i | −1.42487 | − | 1.15497i | ||||
\(13\) | 362.922 | − | 362.922i | 0.595600 | − | 0.595600i | −0.343539 | − | 0.939139i | \(-0.611626\pi\) |
0.939139 | + | 0.343539i | \(0.111626\pi\) | |||||||
\(14\) | −53.6173 | − | 48.3006i | −0.0731113 | − | 0.0658616i | ||||
\(15\) | 1413.90 | − | 745.372i | 1.62252 | − | 0.855352i | ||||
\(16\) | 1001.83 | − | 211.938i | 0.978347 | − | 0.206971i | ||||
\(17\) | 465.936 | + | 465.936i | 0.391025 | + | 0.391025i | 0.875053 | − | 0.484028i | \(-0.160827\pi\) |
−0.484028 | + | 0.875053i | \(0.660827\pi\) | |||||||
\(18\) | −3245.46 | + | 169.305i | −2.36099 | + | 0.123165i | ||||
\(19\) | −582.013 | −0.369870 | −0.184935 | − | 0.982751i | \(-0.559207\pi\) | ||||
−0.184935 | + | 0.982751i | \(0.559207\pi\) | |||||||
\(20\) | −348.391 | + | 1754.60i | −0.194756 | + | 0.980852i | ||||
\(21\) | −364.749 | −0.180487 | ||||||||
\(22\) | 1135.28 | − | 59.2240i | 0.500089 | − | 0.0260880i | ||||
\(23\) | 285.210 | + | 285.210i | 0.112421 | + | 0.112421i | 0.761079 | − | 0.648659i | \(-0.224670\pi\) |
−0.648659 | + | 0.761079i | \(0.724670\pi\) | |||||||
\(24\) | 3045.22 | − | 4185.04i | 1.07917 | − | 1.48310i | ||||
\(25\) | −2578.30 | − | 1765.79i | −0.825055 | − | 0.565052i | ||||
\(26\) | 2157.16 | + | 1943.25i | 0.625819 | + | 0.563763i | ||||
\(27\) | −6702.16 | + | 6702.16i | −1.76932 | + | 1.76932i | ||||
\(28\) | 257.057 | − | 317.127i | 0.0619633 | − | 0.0764432i | ||||
\(29\) | 1272.50i | 0.280973i | 0.990083 | + | 0.140486i | \(0.0448666\pi\) | ||||
−0.990083 | + | 0.140486i | \(0.955133\pi\) | |||||||
\(30\) | 4627.41 | + | 7767.71i | 0.938717 | + | 1.57576i | ||||
\(31\) | − | 4269.21i | − | 0.797891i | −0.916975 | − | 0.398946i | \(-0.869376\pi\) | ||
0.916975 | − | 0.398946i | \(-0.130624\pi\) | |||||||
\(32\) | 1492.51 | + | 5597.04i | 0.257658 | + | 0.966236i | ||||
\(33\) | 4063.02 | − | 4063.02i | 0.649477 | − | 0.649477i | ||||
\(34\) | −2494.84 | + | 2769.46i | −0.370123 | + | 0.410864i | ||||
\(35\) | 332.567 | + | 630.848i | 0.0458890 | + | 0.0870472i | ||||
\(36\) | −1912.87 | − | 18284.3i | −0.245996 | − | 2.35137i | ||||
\(37\) | −6272.71 | − | 6272.71i | −0.753271 | − | 0.753271i | 0.221817 | − | 0.975088i | \(-0.428801\pi\) |
−0.975088 | + | 0.221817i | \(0.928801\pi\) | |||||||
\(38\) | −171.519 | − | 3287.89i | −0.0192687 | − | 0.369367i | ||||
\(39\) | 14674.8 | 1.54494 | ||||||||
\(40\) | −10014.7 | − | 1451.04i | −0.989666 | − | 0.143394i | ||||
\(41\) | −11615.1 | −1.07910 | −0.539550 | − | 0.841954i | \(-0.681406\pi\) | ||||
−0.539550 | + | 0.841954i | \(0.681406\pi\) | |||||||
\(42\) | −107.491 | − | 2060.53i | −0.00940264 | − | 0.180242i | ||||
\(43\) | −11992.8 | − | 11992.8i | −0.989119 | − | 0.989119i | 0.0108221 | − | 0.999941i | \(-0.496555\pi\) |
−0.999941 | + | 0.0108221i | \(0.996555\pi\) | |||||||
\(44\) | 669.133 | + | 6395.96i | 0.0521052 | + | 0.498051i | ||||
\(45\) | 30678.9 | + | 9498.43i | 2.25844 | + | 0.699231i | ||||
\(46\) | −1527.15 | + | 1695.25i | −0.106411 | + | 0.118125i | ||||
\(47\) | 4131.72 | − | 4131.72i | 0.272826 | − | 0.272826i | −0.557411 | − | 0.830237i | \(-0.688205\pi\) |
0.830237 | + | 0.557411i | \(0.188205\pi\) | |||||||
\(48\) | 24539.4 | + | 15969.7i | 1.53731 | + | 1.00044i | ||||
\(49\) | 16644.3i | 0.990317i | ||||||||
\(50\) | 9215.42 | − | 15085.6i | 0.521303 | − | 0.853372i | ||||
\(51\) | 18840.2i | 1.01429i | ||||||||
\(52\) | −10342.1 | + | 12758.8i | −0.530395 | + | 0.654339i | ||||
\(53\) | −13795.5 | + | 13795.5i | −0.674602 | + | 0.674602i | −0.958773 | − | 0.284172i | \(-0.908281\pi\) |
0.284172 | + | 0.958773i | \(0.408281\pi\) | |||||||
\(54\) | −39836.8 | − | 35886.6i | −1.85909 | − | 1.67474i | ||||
\(55\) | −10731.7 | − | 3322.61i | −0.478366 | − | 0.148106i | ||||
\(56\) | 1867.26 | + | 1358.70i | 0.0795674 | + | 0.0578968i | ||||
\(57\) | −11766.9 | − | 11766.9i | −0.479706 | − | 0.479706i | ||||
\(58\) | −7188.60 | + | 375.006i | −0.280591 | + | 0.0146375i | ||||
\(59\) | 38121.2 | 1.42573 | 0.712863 | − | 0.701303i | \(-0.247398\pi\) | ||||
0.712863 | + | 0.701303i | \(0.247398\pi\) | |||||||
\(60\) | −42517.4 | + | 28430.2i | −1.52472 | + | 1.01953i | ||||
\(61\) | 30096.6 | 1.03560 | 0.517801 | − | 0.855501i | \(-0.326751\pi\) | ||||
0.517801 | + | 0.855501i | \(0.326751\pi\) | |||||||
\(62\) | 24117.5 | − | 1258.13i | 0.796808 | − | 0.0415669i | ||||
\(63\) | −5182.35 | − | 5182.35i | −0.164504 | − | 0.164504i | ||||
\(64\) | −31178.8 | + | 10080.9i | −0.951501 | + | 0.307645i | ||||
\(65\) | −13380.0 | − | 25380.6i | −0.392802 | − | 0.745107i | ||||
\(66\) | 24150.0 | + | 21755.3i | 0.682430 | + | 0.614760i | ||||
\(67\) | 3078.23 | − | 3078.23i | 0.0837750 | − | 0.0837750i | −0.663978 | − | 0.747753i | \(-0.731133\pi\) |
0.747753 | + | 0.663978i | \(0.231133\pi\) | |||||||
\(68\) | −16380.4 | − | 13277.6i | −0.429588 | − | 0.348216i | ||||
\(69\) | 11532.5i | 0.291610i | ||||||||
\(70\) | −3465.76 | + | 2064.64i | −0.0845383 | + | 0.0503615i | ||||
\(71\) | 49490.1i | 1.16513i | 0.812786 | + | 0.582563i | \(0.197950\pi\) | ||||
−0.812786 | + | 0.582563i | \(0.802050\pi\) | |||||||
\(72\) | 102727. | − | 16194.5i | 2.33536 | − | 0.368159i | ||||
\(73\) | 25457.2 | − | 25457.2i | 0.559117 | − | 0.559117i | −0.369939 | − | 0.929056i | \(-0.620621\pi\) |
0.929056 | + | 0.369939i | \(0.120621\pi\) | |||||||
\(74\) | 33587.1 | − | 37284.2i | 0.713006 | − | 0.791490i | ||||
\(75\) | −16427.0 | − | 87826.9i | −0.337214 | − | 1.80291i | ||||
\(76\) | 18523.3 | − | 1937.88i | 0.367862 | − | 0.0384850i | ||||
\(77\) | 1812.82 | + | 1812.82i | 0.0348440 | + | 0.0348440i | ||||
\(78\) | 4324.65 | + | 82900.5i | 0.0804849 | + | 1.54284i | ||||
\(79\) | −99053.4 | −1.78567 | −0.892836 | − | 0.450382i | \(-0.851288\pi\) | ||||
−0.892836 | + | 0.450382i | \(0.851288\pi\) | |||||||
\(80\) | 5245.86 | − | 57002.5i | 0.0916414 | − | 0.995792i | ||||
\(81\) | −131399. | −2.22526 | ||||||||
\(82\) | −3422.94 | − | 65615.5i | −0.0562167 | − | 1.07763i | ||||
\(83\) | 39858.9 | + | 39858.9i | 0.635083 | + | 0.635083i | 0.949338 | − | 0.314256i | \(-0.101755\pi\) |
−0.314256 | + | 0.949338i | \(0.601755\pi\) | |||||||
\(84\) | 11608.6 | − | 1214.47i | 0.179508 | − | 0.0187797i | ||||
\(85\) | 32584.9 | − | 17177.9i | 0.489180 | − | 0.257883i | ||||
\(86\) | 64215.0 | − | 71283.5i | 0.936247 | − | 1.03931i | ||||
\(87\) | −25727.0 | + | 25727.0i | −0.364410 | + | 0.364410i | ||||
\(88\) | −35934.7 | + | 5664.93i | −0.494660 | + | 0.0779808i | ||||
\(89\) | 65188.8i | 0.872365i | 0.899858 | + | 0.436182i | \(0.143670\pi\) | ||||
−0.899858 | + | 0.436182i | \(0.856330\pi\) | |||||||
\(90\) | −44617.2 | + | 176109.i | −0.580626 | + | 2.29180i | ||||
\(91\) | 6547.54i | 0.0828848i | ||||||||
\(92\) | −10026.8 | − | 8127.55i | −0.123508 | − | 0.100113i | ||||
\(93\) | 86313.2 | − | 86313.2i | 1.03483 | − | 1.03483i | ||||
\(94\) | 24558.4 | + | 22123.2i | 0.286669 | + | 0.258242i | ||||
\(95\) | −9622.61 | + | 31080.0i | −0.109392 | + | 0.353323i | ||||
\(96\) | −82983.6 | + | 143334.i | −0.918997 | + | 1.58734i | ||||
\(97\) | −44621.3 | − | 44621.3i | −0.481518 | − | 0.481518i | 0.424098 | − | 0.905616i | \(-0.360591\pi\) |
−0.905616 | + | 0.424098i | \(0.860591\pi\) | |||||||
\(98\) | −94026.3 | + | 4905.04i | −0.988972 | + | 0.0515914i | ||||
\(99\) | 115454. | 1.18392 | ||||||||
\(100\) | 87937.1 | + | 47613.8i | 0.879371 | + | 0.476138i | ||||
\(101\) | 69462.4 | 0.677558 | 0.338779 | − | 0.940866i | \(-0.389986\pi\) | ||||
0.338779 | + | 0.940866i | \(0.389986\pi\) | |||||||
\(102\) | −106432. | + | 5552.19i | −1.01291 | + | 0.0528401i | ||||
\(103\) | 74405.5 | + | 74405.5i | 0.691054 | + | 0.691054i | 0.962464 | − | 0.271410i | \(-0.0874900\pi\) |
−0.271410 | + | 0.962464i | \(0.587490\pi\) | |||||||
\(104\) | −75124.7 | − | 54664.1i | −0.681082 | − | 0.495586i | ||||
\(105\) | −6030.52 | + | 19477.9i | −0.0533804 | + | 0.172413i | ||||
\(106\) | −81998.6 | − | 73867.6i | −0.708830 | − | 0.638542i | ||||
\(107\) | −34940.2 | + | 34940.2i | −0.295030 | + | 0.295030i | −0.839063 | − | 0.544034i | \(-0.816896\pi\) |
0.544034 | + | 0.839063i | \(0.316896\pi\) | |||||||
\(108\) | 190990. | − | 235621.i | 1.57562 | − | 1.94381i | ||||
\(109\) | 49187.7i | 0.396543i | 0.980147 | + | 0.198272i | \(0.0635328\pi\) | ||||
−0.980147 | + | 0.198272i | \(0.936467\pi\) | |||||||
\(110\) | 15607.4 | − | 61604.2i | 0.122984 | − | 0.485432i | ||||
\(111\) | − | 253638.i | − | 1.95392i | ||||||
\(112\) | −7125.27 | + | 10948.9i | −0.0536731 | + | 0.0824755i | ||||
\(113\) | −161701. | + | 161701.i | −1.19129 | + | 1.19129i | −0.214581 | + | 0.976706i | \(0.568839\pi\) |
−0.976706 | + | 0.214581i | \(0.931161\pi\) | |||||||
\(114\) | 63005.5 | − | 69940.9i | 0.454063 | − | 0.504045i | ||||
\(115\) | 19945.9 | − | 10515.0i | 0.140640 | − | 0.0741420i | ||||
\(116\) | −4236.94 | − | 40499.1i | −0.0292353 | − | 0.279448i | ||||
\(117\) | 208499. | + | 208499.i | 1.40812 | + | 1.40812i | ||||
\(118\) | 11234.3 | + | 215353.i | 0.0742744 | + | 1.42379i | ||||
\(119\) | −8406.05 | −0.0544157 | ||||||||
\(120\) | −173137. | − | 231810.i | −1.09758 | − | 1.46953i | ||||
\(121\) | 120664. | 0.749230 | ||||||||
\(122\) | 8869.44 | + | 170021.i | 0.0539507 | + | 1.03420i | ||||
\(123\) | −234828. | − | 234828.i | −1.39955 | − | 1.39955i | ||||
\(124\) | 14214.8 | + | 135873.i | 0.0830208 | + | 0.793560i | ||||
\(125\) | −136922. | + | 108489.i | −0.783789 | + | 0.621027i | ||||
\(126\) | 27748.8 | − | 30803.2i | 0.155710 | − | 0.172850i | ||||
\(127\) | 204895. | − | 204895.i | 1.12725 | − | 1.12725i | 0.136630 | − | 0.990622i | \(-0.456373\pi\) |
0.990622 | − | 0.136630i | \(-0.0436272\pi\) | |||||||
\(128\) | −66137.1 | − | 173164.i | −0.356796 | − | 0.934182i | ||||
\(129\) | − | 484930.i | − | 2.56569i | ||||||
\(130\) | 139436. | − | 83065.7i | 0.723632 | − | 0.431085i | ||||
\(131\) | 291964.i | 1.48645i | 0.669041 | + | 0.743226i | \(0.266705\pi\) | ||||
−0.669041 | + | 0.743226i | \(0.733295\pi\) | |||||||
\(132\) | −115783. | + | 142839.i | −0.578373 | + | 0.713530i | ||||
\(133\) | 5250.10 | − | 5250.10i | 0.0257359 | − | 0.0257359i | ||||
\(134\) | 18296.6 | + | 16482.3i | 0.0880256 | + | 0.0792969i | ||||
\(135\) | 247092. | + | 468710.i | 1.16688 | + | 2.21345i | ||||
\(136\) | 70180.4 | − | 96448.7i | 0.325363 | − | 0.447146i | ||||
\(137\) | −213117. | − | 213117.i | −0.970102 | − | 0.970102i | 0.0294634 | − | 0.999566i | \(-0.490620\pi\) |
−0.999566 | + | 0.0294634i | \(0.990620\pi\) | |||||||
\(138\) | −65149.3 | + | 3398.62i | −0.291214 | + | 0.0151917i | ||||
\(139\) | −10045.0 | −0.0440972 | −0.0220486 | − | 0.999757i | \(-0.507019\pi\) | ||||
−0.0220486 | + | 0.999757i | \(0.507019\pi\) | |||||||
\(140\) | −12684.9 | − | 18970.2i | −0.0546972 | − | 0.0817999i | ||||
\(141\) | 167067. | 0.707688 | ||||||||
\(142\) | −279578. | + | 14584.7i | −1.16354 | + | 0.0606982i | ||||
\(143\) | −72934.3 | − | 72934.3i | −0.298258 | − | 0.298258i | ||||
\(144\) | 121759. | + | 575552.i | 0.489322 | + | 2.31301i | ||||
\(145\) | 67952.8 | + | 21038.7i | 0.268403 | + | 0.0830997i | ||||
\(146\) | 151314. | + | 136310.i | 0.587486 | + | 0.529230i | ||||
\(147\) | −336507. | + | 336507.i | −1.28440 | + | 1.28440i | ||||
\(148\) | 220523. | + | 178752.i | 0.827560 | + | 0.670804i | ||||
\(149\) | 46622.5i | 0.172040i | 0.996293 | + | 0.0860201i | \(0.0274149\pi\) | ||||
−0.996293 | + | 0.0860201i | \(0.972585\pi\) | |||||||
\(150\) | 491308. | − | 118681.i | 1.78290 | − | 0.430680i | ||||
\(151\) | − | 233568.i | − | 0.833625i | −0.908992 | − | 0.416813i | \(-0.863147\pi\) | ||
0.908992 | − | 0.416813i | \(-0.136853\pi\) | |||||||
\(152\) | 16406.2 | + | 104070.i | 0.0575969 | + | 0.365357i | ||||
\(153\) | −267681. | + | 267681.i | −0.924462 | + | 0.924462i | ||||
\(154\) | −9706.69 | + | 10775.2i | −0.0329814 | + | 0.0366119i | ||||
\(155\) | −227980. | − | 70584.3i | −0.762196 | − | 0.235982i | ||||
\(156\) | −467045. | + | 48861.4i | −1.53655 | + | 0.160751i | ||||
\(157\) | −146024. | − | 146024.i | −0.472799 | − | 0.472799i | 0.430020 | − | 0.902819i | \(-0.358506\pi\) |
−0.902819 | + | 0.430020i | \(0.858506\pi\) | |||||||
\(158\) | −29190.9 | − | 559570.i | −0.0930262 | − | 1.78325i | ||||
\(159\) | −557823. | −1.74986 | ||||||||
\(160\) | 323563. | + | 12836.2i | 0.999214 | + | 0.0396403i | ||||
\(161\) | −5145.54 | −0.0156447 | ||||||||
\(162\) | −38723.2 | − | 742297.i | −0.115927 | − | 2.22224i | ||||
\(163\) | 191971. | + | 191971.i | 0.565936 | + | 0.565936i | 0.930987 | − | 0.365051i | \(-0.118949\pi\) |
−0.365051 | + | 0.930987i | \(0.618949\pi\) | |||||||
\(164\) | 369664. | − | 38673.6i | 1.07324 | − | 0.112281i | ||||
\(165\) | −149793. | − | 284144.i | −0.428334 | − | 0.812509i | ||||
\(166\) | −213423. | + | 236916.i | −0.601135 | + | 0.667305i | ||||
\(167\) | 403364. | − | 403364.i | 1.11920 | − | 1.11920i | 0.127336 | − | 0.991860i | \(-0.459357\pi\) |
0.991860 | − | 0.127336i | \(-0.0406428\pi\) | |||||||
\(168\) | 10281.8 | + | 65221.2i | 0.0281059 | + | 0.178285i | ||||
\(169\) | 107869.i | 0.290522i | ||||||||
\(170\) | 106644. | + | 179015.i | 0.283017 | + | 0.475081i | ||||
\(171\) | − | 334367.i | − | 0.874447i | ||||||
\(172\) | 421617. | + | 341755.i | 1.08667 | + | 0.880832i | ||||
\(173\) | 355811. | − | 355811.i | 0.903867 | − | 0.903867i | −0.0919008 | − | 0.995768i | \(-0.529294\pi\) |
0.995768 | + | 0.0919008i | \(0.0292943\pi\) | |||||||
\(174\) | −152918. | − | 137754.i | −0.382900 | − | 0.344931i | ||||
\(175\) | 39186.2 | − | 7329.33i | 0.0967250 | − | 0.0180913i | ||||
\(176\) | −42592.1 | − | 201332.i | −0.103645 | − | 0.489926i | ||||
\(177\) | 770718. | + | 770718.i | 1.84911 | + | 1.84911i | ||||
\(178\) | −368263. | + | 19211.1i | −0.871180 | + | 0.0454466i | ||||
\(179\) | 423056. | 0.986882 | 0.493441 | − | 0.869779i | \(-0.335739\pi\) | ||||
0.493441 | + | 0.869779i | \(0.335739\pi\) | |||||||
\(180\) | −1.00802e6 | − | 200151.i | −2.31893 | − | 0.460444i | ||||
\(181\) | −286397. | −0.649788 | −0.324894 | − | 0.945750i | \(-0.605329\pi\) | ||||
−0.324894 | + | 0.945750i | \(0.605329\pi\) | |||||||
\(182\) | −36988.2 | + | 1929.55i | −0.0827722 | + | 0.00431796i | ||||
\(183\) | 608481. | + | 608481.i | 1.34313 | + | 1.34313i | ||||
\(184\) | 42959.1 | − | 59038.5i | 0.0935428 | − | 0.128555i | ||||
\(185\) | −438677. | + | 231259.i | −0.942357 | + | 0.496787i | ||||
\(186\) | 513035. | + | 462162.i | 1.08734 | + | 0.979516i | ||||
\(187\) | 93636.6 | − | 93636.6i | 0.195813 | − | 0.195813i | ||||
\(188\) | −117740. | + | 145254.i | −0.242958 | + | 0.299733i | ||||
\(189\) | − | 120915.i | − | 0.246221i | ||||||
\(190\) | −178412. | − | 45200.6i | −0.358542 | − | 0.0908364i | ||||
\(191\) | − | 16778.2i | − | 0.0332784i | −0.999862 | − | 0.0166392i | \(-0.994703\pi\) | ||
0.999862 | − | 0.0166392i | \(-0.00529667\pi\) | |||||||
\(192\) | −834172. | − | 426548.i | −1.63306 | − | 0.835055i | ||||
\(193\) | 457652. | − | 457652.i | 0.884386 | − | 0.884386i | −0.109591 | − | 0.993977i | \(-0.534954\pi\) |
0.993977 | + | 0.109591i | \(0.0349540\pi\) | |||||||
\(194\) | 238923. | − | 265223.i | 0.455779 | − | 0.505949i | ||||
\(195\) | 242623. | − | 783647.i | 0.456926 | − | 1.47582i | ||||
\(196\) | −55418.9 | − | 529725.i | −0.103043 | − | 0.984942i | ||||
\(197\) | 40421.4 | + | 40421.4i | 0.0742072 | + | 0.0742072i | 0.743236 | − | 0.669029i | \(-0.233290\pi\) |
−0.669029 | + | 0.743236i | \(0.733290\pi\) | |||||||
\(198\) | 34024.3 | + | 652222.i | 0.0616774 | + | 1.18231i | ||||
\(199\) | −1.00700e6 | −1.80260 | −0.901298 | − | 0.433200i | \(-0.857384\pi\) | ||||
−0.901298 | + | 0.433200i | \(0.857384\pi\) | |||||||
\(200\) | −243063. | + | 510803.i | −0.429679 | + | 0.902981i | ||||
\(201\) | 124469. | 0.217306 | ||||||||
\(202\) | 20470.5 | + | 392405.i | 0.0352980 | + | 0.676638i | ||||
\(203\) | −11478.8 | − | 11478.8i | −0.0195503 | − | 0.0195503i | ||||
\(204\) | −62730.5 | − | 599614.i | −0.105537 | − | 1.00878i | ||||
\(205\) | −192036. | + | 620254.i | −0.319152 | + | 1.03082i | ||||
\(206\) | −398402. | + | 442256.i | −0.654114 | + | 0.726116i | ||||
\(207\) | −163854. | + | 163854.i | −0.265785 | + | 0.265785i | ||||
\(208\) | 286668. | − | 440502.i | 0.459431 | − | 0.705975i | ||||
\(209\) | 116964.i | 0.185219i | ||||||||
\(210\) | −111811. | − | 28327.3i | −0.174960 | − | 0.0443259i | ||||
\(211\) | 769943.i | 1.19056i | 0.803517 | + | 0.595281i | \(0.202959\pi\) | ||||
−0.803517 | + | 0.595281i | \(0.797041\pi\) | |||||||
\(212\) | 393126. | − | 484993.i | 0.600747 | − | 0.741133i | ||||
\(213\) | −1.00057e6 | + | 1.00057e6i | −1.51112 | + | 1.51112i | ||||
\(214\) | −207680. | − | 187086.i | −0.309999 | − | 0.279259i | ||||
\(215\) | −838705. | + | 442144.i | −1.23741 | + | 0.652330i | ||||
\(216\) | 1.38735e6 | + | 1.00950e6i | 2.02325 | + | 1.47221i | ||||
\(217\) | 38510.9 | + | 38510.9i | 0.0555180 | + | 0.0555180i | ||||
\(218\) | −277870. | + | 14495.6i | −0.396005 | + | 0.0206583i | ||||
\(219\) | 1.02936e6 | 1.45030 | ||||||||
\(220\) | 352612. | + | 70014.2i | 0.491180 | + | 0.0975280i | ||||
\(221\) | 338197. | 0.465788 | ||||||||
\(222\) | 1.43285e6 | − | 74746.9i | 1.95127 | − | 0.101791i | ||||
\(223\) | −128914. | − | 128914.i | −0.173595 | − | 0.173595i | 0.614962 | − | 0.788557i | \(-0.289171\pi\) |
−0.788557 | + | 0.614962i | \(0.789171\pi\) | |||||||
\(224\) | −63952.0 | − | 37025.3i | −0.0851597 | − | 0.0493035i | ||||
\(225\) | 1.01445e6 | − | 1.48124e6i | 1.33590 | − | 1.95060i | ||||
\(226\) | −961130. | − | 865824.i | −1.25173 | − | 1.12761i | ||||
\(227\) | 342980. | − | 342980.i | 0.441778 | − | 0.441778i | −0.450831 | − | 0.892609i | \(-0.648872\pi\) |
0.892609 | + | 0.450831i | \(0.148872\pi\) | |||||||
\(228\) | 413676. | + | 335318.i | 0.527015 | + | 0.427188i | ||||
\(229\) | − | 189890.i | − | 0.239284i | −0.992817 | − | 0.119642i | \(-0.961825\pi\) | ||
0.992817 | − | 0.119642i | \(-0.0381746\pi\) | |||||||
\(230\) | 65279.1 | + | 109579.i | 0.0813681 | + | 0.136587i | ||||
\(231\) | 73301.7i | 0.0903824i | ||||||||
\(232\) | 227538. | − | 35870.3i | 0.277545 | − | 0.0437537i | ||||
\(233\) | 519010. | − | 519010.i | 0.626305 | − | 0.626305i | −0.320831 | − | 0.947136i | \(-0.603962\pi\) |
0.947136 | + | 0.320831i | \(0.103962\pi\) | |||||||
\(234\) | −1.11640e6 | + | 1.23929e6i | −1.33285 | + | 1.47956i | ||||
\(235\) | −152326. | − | 288948.i | −0.179930 | − | 0.341311i | ||||
\(236\) | −1.21326e6 | + | 126929.i | −1.41799 | + | 0.148347i | ||||
\(237\) | −2.00262e6 | − | 2.00262e6i | −2.31594 | − | 2.31594i | ||||
\(238\) | −2477.25 | − | 47487.2i | −0.00283483 | − | 0.0543418i | ||||
\(239\) | 283416. | 0.320945 | 0.160472 | − | 0.987040i | \(-0.448698\pi\) | ||||
0.160472 | + | 0.987040i | \(0.448698\pi\) | |||||||
\(240\) | 1.25851e6 | − | 1.04639e6i | 1.41036 | − | 1.17265i | ||||
\(241\) | −715522. | −0.793562 | −0.396781 | − | 0.917913i | \(-0.629873\pi\) | ||||
−0.396781 | + | 0.917913i | \(0.629873\pi\) | |||||||
\(242\) | 35559.6 | + | 681653.i | 0.0390318 | + | 0.748213i | ||||
\(243\) | −1.02795e6 | − | 1.02795e6i | −1.11675 | − | 1.11675i | ||||
\(244\) | −957865. | + | 100210.i | −1.02998 | + | 0.107755i | ||||
\(245\) | 888817. | + | 275185.i | 0.946013 | + | 0.292893i | ||||
\(246\) | 1.25738e6 | − | 1.39579e6i | 1.32474 | − | 1.47056i | ||||
\(247\) | −211225. | + | 211225.i | −0.220294 | + | 0.220294i | ||||
\(248\) | −763383. | + | 120344.i | −0.788158 | + | 0.124249i | ||||
\(249\) | 1.61170e6i | 1.64735i | ||||||||
\(250\) | −653223. | − | 741527.i | −0.661016 | − | 0.750372i | ||||
\(251\) | 729075.i | 0.730446i | 0.930920 | + | 0.365223i | \(0.119007\pi\) | ||||
−0.930920 | + | 0.365223i | \(0.880993\pi\) | |||||||
\(252\) | 182190. | + | 147680.i | 0.180727 | + | 0.146494i | ||||
\(253\) | 57317.1 | − | 57317.1i | 0.0562967 | − | 0.0562967i | ||||
\(254\) | 1.21787e6 | + | 1.09710e6i | 1.18445 | + | 1.06700i | ||||
\(255\) | 1.00608e6 | + | 311491.i | 0.968910 | + | 0.299982i | ||||
\(256\) | 958740. | − | 424651.i | 0.914326 | − | 0.404979i | ||||
\(257\) | 354126. | + | 354126.i | 0.334445 | + | 0.334445i | 0.854272 | − | 0.519827i | \(-0.174004\pi\) |
−0.519827 | + | 0.854272i | \(0.674004\pi\) | |||||||
\(258\) | 2.73945e6 | − | 142908.i | 2.56221 | − | 0.133662i | ||||
\(259\) | 113167. | 0.104827 | ||||||||
\(260\) | 510344. | + | 763221.i | 0.468198 | + | 0.700192i | ||||
\(261\) | −731056. | −0.664277 | ||||||||
\(262\) | −1.64935e6 | + | 86041.4i | −1.48443 | + | 0.0774380i | ||||
\(263\) | −1.27436e6 | − | 1.27436e6i | −1.13606 | − | 1.13606i | −0.989150 | − | 0.146911i | \(-0.953067\pi\) |
−0.146911 | − | 0.989150i | \(-0.546933\pi\) | |||||||
\(264\) | −841043. | − | 611981.i | −0.742692 | − | 0.540416i | ||||
\(265\) | 508605. | + | 964776.i | 0.444904 | + | 0.843940i | ||||
\(266\) | 31205.9 | + | 28111.5i | 0.0270417 | + | 0.0243602i | ||||
\(267\) | −1.31796e6 | + | 1.31796e6i | −1.13142 | + | 1.13142i | ||||
\(268\) | −87719.5 | + | 108218.i | −0.0746035 | + | 0.0920371i | ||||
\(269\) | − | 433722.i | − | 0.365452i | −0.983164 | − | 0.182726i | \(-0.941508\pi\) | ||
0.983164 | − | 0.182726i | \(-0.0584921\pi\) | |||||||
\(270\) | −2.57501e6 | + | 1.53399e6i | −2.14966 | + | 1.28060i | ||||
\(271\) | 496087.i | 0.410331i | 0.978727 | + | 0.205165i | \(0.0657733\pi\) | ||||
−0.978727 | + | 0.205165i | \(0.934227\pi\) | |||||||
\(272\) | 565537. | + | 368038.i | 0.463489 | + | 0.301627i | ||||
\(273\) | −132375. | + | 132375.i | −0.107498 | + | 0.107498i | ||||
\(274\) | 1.14113e6 | − | 1.26674e6i | 0.918247 | − | 1.01932i | ||||
\(275\) | −354860. | + | 518146.i | −0.282961 | + | 0.413162i | ||||
\(276\) | −38398.8 | − | 367038.i | −0.0303421 | − | 0.290027i | ||||
\(277\) | 176095. | + | 176095.i | 0.137894 | + | 0.137894i | 0.772685 | − | 0.634790i | \(-0.218913\pi\) |
−0.634790 | + | 0.772685i | \(0.718913\pi\) | |||||||
\(278\) | −2960.24 | − | 56745.7i | −0.00229728 | − | 0.0440373i | ||||
\(279\) | 2.45267e6 | 1.88638 | ||||||||
\(280\) | 103428. | − | 77249.4i | 0.0788393 | − | 0.0588844i | ||||
\(281\) | 882746. | 0.666914 | 0.333457 | − | 0.942765i | \(-0.391785\pi\) | ||||
0.333457 | + | 0.942765i | \(0.391785\pi\) | |||||||
\(282\) | 49234.4 | + | 943789.i | 0.0368677 | + | 0.706727i | ||||
\(283\) | 879056. | + | 879056.i | 0.652455 | + | 0.652455i | 0.953584 | − | 0.301128i | \(-0.0973633\pi\) |
−0.301128 | + | 0.953584i | \(0.597363\pi\) | |||||||
\(284\) | −164783. | − | 1.57509e6i | −0.121232 | − | 1.15880i | ||||
\(285\) | −822908. | + | 433816.i | −0.600121 | + | 0.316369i | ||||
\(286\) | 390525. | − | 433512.i | 0.282315 | − | 0.313391i | ||||
\(287\) | 104775. | − | 104775.i | 0.0750848 | − | 0.0750848i | ||||
\(288\) | −3.21551e6 | + | 857452.i | −2.28438 | + | 0.609156i | ||||
\(289\) | − | 985664.i | − | 0.694199i | ||||||
\(290\) | −98825.8 | + | 390077.i | −0.0690042 | + | 0.272368i | ||||
\(291\) | − | 1.80427e6i | − | 1.24902i | ||||||
\(292\) | −725445. | + | 894970.i | −0.497906 | + | 0.614259i | ||||
\(293\) | 371593. | − | 371593.i | 0.252871 | − | 0.252871i | −0.569276 | − | 0.822147i | \(-0.692776\pi\) |
0.822147 | + | 0.569276i | \(0.192776\pi\) | |||||||
\(294\) | −2.00015e6 | − | 1.80182e6i | −1.34957 | − | 1.21574i | ||||
\(295\) | 630270. | − | 2.03570e6i | 0.421669 | − | 1.36194i | ||||
\(296\) | −944811. | + | 1.29845e6i | −0.626781 | + | 0.861382i | ||||
\(297\) | 1.34690e6 | + | 1.34690e6i | 0.886019 | + | 0.886019i | ||||
\(298\) | −263379. | + | 13739.6i | −0.171807 | + | 0.00896259i | ||||
\(299\) | 207018. | 0.133915 | ||||||||
\(300\) | 815240. | + | 2.74051e6i | 0.522977 | + | 1.75804i | ||||
\(301\) | 216364. | 0.137648 | ||||||||
\(302\) | 1.31947e6 | − | 68832.2i | 0.832493 | − | 0.0434285i | ||||
\(303\) | 1.40436e6 | + | 1.40436e6i | 0.878765 | + | 0.878765i | ||||
\(304\) | −583076. | + | 123351.i | −0.361861 | + | 0.0765523i | ||||
\(305\) | 497598. | − | 1.60719e6i | 0.306287 | − | 0.989273i | ||||
\(306\) | −1.59106e6 | − | 1.43329e6i | −0.971368 | − | 0.875046i | ||||
\(307\) | −547759. | + | 547759.i | −0.331699 | + | 0.331699i | −0.853231 | − | 0.521533i | \(-0.825360\pi\) |
0.521533 | + | 0.853231i | \(0.325360\pi\) | |||||||
\(308\) | −63731.3 | − | 51659.4i | −0.0382804 | − | 0.0310293i | ||||
\(309\) | 3.00860e6i | 1.79254i | ||||||||
\(310\) | 331558. | − | 1.30870e6i | 0.195954 | − | 0.773455i | ||||
\(311\) | − | 2.66010e6i | − | 1.55954i | −0.626065 | − | 0.779771i | \(-0.715336\pi\) | ||
0.626065 | − | 0.779771i | \(-0.284664\pi\) | |||||||
\(312\) | −413664. | − | 2.62402e6i | −0.240581 | − | 1.52609i | ||||
\(313\) | −455775. | + | 455775.i | −0.262960 | + | 0.262960i | −0.826256 | − | 0.563295i | \(-0.809533\pi\) |
0.563295 | + | 0.826256i | \(0.309533\pi\) | |||||||
\(314\) | 781884. | − | 867950.i | 0.447526 | − | 0.496788i | ||||
\(315\) | −362423. | + | 191060.i | −0.205797 | + | 0.108491i | ||||
\(316\) | 3.15250e6 | − | 329809.i | 1.77598 | − | 0.185800i | ||||
\(317\) | −752475. | − | 752475.i | −0.420575 | − | 0.420575i | 0.464826 | − | 0.885402i | \(-0.346117\pi\) |
−0.885402 | + | 0.464826i | \(0.846117\pi\) | |||||||
\(318\) | −164390. | − | 3.15124e6i | −0.0911606 | − | 1.74749i | ||||
\(319\) | 255728. | 0.140702 | ||||||||
\(320\) | 22839.5 | + | 1.83164e6i | 0.0124685 | + | 0.999922i | ||||
\(321\) | −1.41281e6 | −0.765283 | ||||||||
\(322\) | −1516.38 | − | 29068.0i | −0.000815022 | − | 0.0156234i | ||||
\(323\) | −271181. | − | 271181.i | −0.144628 | − | 0.144628i | ||||
\(324\) | 4.18195e6 | − | 437508.i | 2.21318 | − | 0.231539i | ||||
\(325\) | −1.57656e6 | + | 294878.i | −0.827948 | + | 0.154858i | ||||
\(326\) | −1.02791e6 | + | 1.14105e6i | −0.535685 | + | 0.594651i | ||||
\(327\) | −994457. | + | 994457.i | −0.514300 | + | 0.514300i | ||||
\(328\) | 327414. | + | 2.07690e6i | 0.168040 | + | 1.06594i | ||||
\(329\) | 74541.1i | 0.0379670i | ||||||||
\(330\) | 1.56103e6 | − | 929945.i | 0.789091 | − | 0.470081i | ||||
\(331\) | 1.14555e6i | 0.574704i | 0.957825 | + | 0.287352i | \(0.0927749\pi\) | ||||
−0.957825 | + | 0.287352i | \(0.907225\pi\) | |||||||
\(332\) | −1.40128e6 | − | 1.13585e6i | −0.697716 | − | 0.565555i | ||||
\(333\) | 3.60368e6 | − | 3.60368e6i | 1.78089 | − | 1.78089i | ||||
\(334\) | 2.39754e6 | + | 2.15980e6i | 1.17598 | + | 1.05937i | ||||
\(335\) | −113487. | − | 215274.i | −0.0552501 | − | 0.104804i | ||||
\(336\) | −365416. | + | 77304.4i | −0.176579 | + | 0.0373556i | ||||
\(337\) | −347364. | − | 347364.i | −0.166614 | − | 0.166614i | 0.618876 | − | 0.785489i | \(-0.287589\pi\) |
−0.785489 | + | 0.618876i | \(0.787589\pi\) | |||||||
\(338\) | −609369. | + | 31788.8i | −0.290127 | + | 0.0151350i | ||||
\(339\) | −6.53841e6 | −3.09010 | ||||||||
\(340\) | −979860. | + | 655204.i | −0.459692 | + | 0.307383i | ||||
\(341\) | −857960. | −0.399559 | ||||||||
\(342\) | 1.88890e6 | − | 98537.7i | 0.873260 | − | 0.0455551i | ||||
\(343\) | −301750. | − | 301750.i | −0.138488 | − | 0.138488i | ||||
\(344\) | −1.80638e6 | + | 2.48250e6i | −0.823025 | + | 1.13108i | ||||
\(345\) | 615847. | + | 190671.i | 0.278564 | + | 0.0862457i | ||||
\(346\) | 2.11490e6 | + | 1.90518e6i | 0.949728 | + | 0.855552i | ||||
\(347\) | 1.61941e6 | − | 1.61941e6i | 0.721994 | − | 0.721994i | −0.247017 | − | 0.969011i | \(-0.579450\pi\) |
0.969011 | + | 0.247017i | \(0.0794503\pi\) | |||||||
\(348\) | 733134. | − | 904455.i | 0.324515 | − | 0.400349i | ||||
\(349\) | 75542.7i | 0.0331993i | 0.999862 | + | 0.0165996i | \(0.00528407\pi\) | ||||
−0.999862 | + | 0.0165996i | \(0.994716\pi\) | |||||||
\(350\) | 52952.8 | + | 219210.i | 0.0231057 | + | 0.0956511i | ||||
\(351\) | 4.86472e6i | 2.10761i | ||||||||
\(352\) | 1.12481e6 | − | 299942.i | 0.483861 | − | 0.129027i | ||||
\(353\) | −2.12610e6 | + | 2.12610e6i | −0.908128 | + | 0.908128i | −0.996121 | − | 0.0879935i | \(-0.971955\pi\) |
0.0879935 | + | 0.996121i | \(0.471955\pi\) | |||||||
\(354\) | −4.12679e6 | + | 4.58105e6i | −1.75027 | + | 1.94293i | ||||
\(355\) | 2.64281e6 | + | 818236.i | 1.11300 | + | 0.344594i | ||||
\(356\) | −217053. | − | 2.07472e6i | −0.0907698 | − | 0.867630i | ||||
\(357\) | −169950. | − | 169950.i | −0.0705749 | − | 0.0705749i | ||||
\(358\) | 124674. | + | 2.38992e6i | 0.0514125 | + | 0.985542i | ||||
\(359\) | 269278. | 0.110272 | 0.0551360 | − | 0.998479i | \(-0.482441\pi\) | ||||
0.0551360 | + | 0.998479i | \(0.482441\pi\) | |||||||
\(360\) | 833626. | − | 5.75347e6i | 0.339012 | − | 2.33977i | ||||
\(361\) | −2.13736e6 | −0.863197 | ||||||||
\(362\) | −84400.9 | − | 1.61791e6i | −0.0338513 | − | 0.648906i | ||||
\(363\) | 2.43954e6 | + | 2.43954e6i | 0.971721 | + | 0.971721i | ||||
\(364\) | −21800.8 | − | 208384.i | −0.00862418 | − | 0.0824349i | ||||
\(365\) | −938542. | − | 1.78033e6i | −0.368741 | − | 0.699467i | ||||
\(366\) | −3.25810e6 | + | 3.61673e6i | −1.27134 | + | 1.41128i | ||||
\(367\) | 173595. | − | 173595.i | 0.0672778 | − | 0.0672778i | −0.672667 | − | 0.739945i | \(-0.734851\pi\) |
0.739945 | + | 0.672667i | \(0.234851\pi\) | |||||||
\(368\) | 346179. | + | 225285.i | 0.133254 | + | 0.0867185i | ||||
\(369\) | − | 6.67287e6i | − | 2.55121i | ||||||
\(370\) | −1.43570e6 | − | 2.41001e6i | −0.545205 | − | 0.915197i | ||||
\(371\) | − | 248887.i | − | 0.0938788i | ||||||
\(372\) | −2.45964e6 | + | 3.03442e6i | −0.921541 | + | 1.13689i | ||||
\(373\) | −790591. | + | 790591.i | −0.294225 | + | 0.294225i | −0.838747 | − | 0.544522i | \(-0.816711\pi\) |
0.544522 | + | 0.838747i | \(0.316711\pi\) | |||||||
\(374\) | 556564. | + | 501375.i | 0.205748 | + | 0.185346i | ||||
\(375\) | −4.96162e6 | − | 574856.i | −1.82199 | − | 0.211096i | ||||
\(376\) | −855264. | − | 622329.i | −0.311983 | − | 0.227013i | ||||
\(377\) | 461819. | + | 461819.i | 0.167347 | + | 0.167347i | ||||
\(378\) | 683070. | − | 35633.5i | 0.245887 | − | 0.0128271i | ||||
\(379\) | 1.00878e6 | 0.360743 | 0.180371 | − | 0.983599i | \(-0.442270\pi\) | ||||
0.180371 | + | 0.983599i | \(0.442270\pi\) | |||||||
\(380\) | 202768. | − | 1.02120e6i | 0.0720345 | − | 0.362787i | ||||
\(381\) | 8.28495e6 | 2.92400 | ||||||||
\(382\) | 94783.1 | − | 4944.52i | 0.0332332 | − | 0.00173367i | ||||
\(383\) | −2.32173e6 | − | 2.32173e6i | −0.808751 | − | 0.808751i | 0.175693 | − | 0.984445i | \(-0.443783\pi\) |
−0.984445 | + | 0.175693i | \(0.943783\pi\) | |||||||
\(384\) | 2.16382e6 | − | 4.83808e6i | 0.748846 | − | 1.67435i | ||||
\(385\) | 126778. | − | 66834.1i | 0.0435905 | − | 0.0229798i | ||||
\(386\) | 2.72022e6 | + | 2.45048e6i | 0.929258 | + | 0.837112i | ||||
\(387\) | 6.88987e6 | − | 6.88987e6i | 2.33848 | − | 2.33848i | ||||
\(388\) | 1.56870e6 | + | 1.27156e6i | 0.529007 | + | 0.428802i | ||||
\(389\) | 2.08733e6i | 0.699388i | 0.936864 | + | 0.349694i | \(0.113714\pi\) | ||||
−0.936864 | + | 0.349694i | \(0.886286\pi\) | |||||||
\(390\) | 4.49846e6 | + | 1.13968e6i | 1.49762 | + | 0.379422i | ||||
\(391\) | 265780.i | 0.0879184i | ||||||||
\(392\) | 2.97618e6 | − | 469180.i | 0.978236 | − | 0.154214i | ||||
\(393\) | −5.90280e6 | + | 5.90280e6i | −1.92787 | + | 1.92787i | ||||
\(394\) | −216435. | + | 240260.i | −0.0702406 | + | 0.0779723i | ||||
\(395\) | −1.63768e6 | + | 5.28953e6i | −0.528125 | + | 1.70579i | ||||
\(396\) | −3.67449e6 | + | 384418.i | −1.17749 | + | 0.123187i | ||||
\(397\) | 2.49759e6 | + | 2.49759e6i | 0.795324 | + | 0.795324i | 0.982354 | − | 0.187030i | \(-0.0598861\pi\) |
−0.187030 | + | 0.982354i | \(0.559886\pi\) | |||||||
\(398\) | −296763. | − | 5.68874e6i | −0.0939078 | − | 1.80015i | ||||
\(399\) | 212289. | 0.0667567 | ||||||||
\(400\) | −2.95725e6 | − | 1.22257e6i | −0.924140 | − | 0.382054i | ||||
\(401\) | 2.71283e6 | 0.842484 | 0.421242 | − | 0.906948i | \(-0.361594\pi\) | ||||
0.421242 | + | 0.906948i | \(0.361594\pi\) | |||||||
\(402\) | 36680.8 | + | 703146.i | 0.0113207 | + | 0.217010i | ||||
\(403\) | −1.54939e6 | − | 1.54939e6i | −0.475224 | − | 0.475224i | ||||
\(404\) | −2.21073e6 | + | 231283.i | −0.673880 | + | 0.0705001i | ||||
\(405\) | −2.17247e6 | + | 7.01683e6i | −0.658136 | + | 2.12571i | ||||
\(406\) | 61462.7 | − | 68228.2i | 0.0185053 | − | 0.0205423i | ||||
\(407\) | −1.26059e6 | + | 1.26059e6i | −0.377215 | + | 0.377215i | ||||
\(408\) | 3.36884e6 | − | 531081.i | 1.00191 | − | 0.157947i | ||||
\(409\) | − | 4.13491e6i | − | 1.22224i | −0.791536 | − | 0.611122i | \(-0.790718\pi\) | ||
0.791536 | − | 0.611122i | \(-0.209282\pi\) | |||||||
\(410\) | −3.56051e6 | − | 902054.i | −1.04605 | − | 0.265017i | ||||
\(411\) | − | 8.61744e6i | − | 2.51637i | ||||||
\(412\) | −2.61579e6 | − | 2.12031e6i | −0.759207 | − | 0.615398i | ||||
\(413\) | −343876. | + | 343876.i | −0.0992033 | + | 0.0992033i | ||||
\(414\) | −973926. | − | 877351.i | −0.279271 | − | 0.251578i | ||||
\(415\) | 2.78750e6 | − | 1.46950e6i | 0.794501 | − | 0.418841i | ||||
\(416\) | 2.57295e6 | + | 1.48962e6i | 0.728951 | + | 0.422029i | ||||
\(417\) | −203085. | − | 203085.i | −0.0571923 | − | 0.0571923i | ||||
\(418\) | −660749. | + | 34469.1i | −0.184968 | + | 0.00964916i | ||||
\(419\) | 2.03570e6 | 0.566473 | 0.283236 | − | 0.959050i | \(-0.408592\pi\) | ||||
0.283236 | + | 0.959050i | \(0.408592\pi\) | |||||||
\(420\) | 127075. | − | 639990.i | 0.0351511 | − | 0.177031i | ||||
\(421\) | 1.23458e6 | 0.339481 | 0.169740 | − | 0.985489i | \(-0.445707\pi\) | ||||
0.169740 | + | 0.985489i | \(0.445707\pi\) | |||||||
\(422\) | −4.34954e6 | + | 226901.i | −1.18895 | + | 0.0620234i | ||||
\(423\) | 2.37368e6 | + | 2.37368e6i | 0.645017 | + | 0.645017i | ||||
\(424\) | 2.85566e6 | + | 2.07791e6i | 0.771423 | + | 0.561322i | ||||
\(425\) | −378578. | − | 2.02407e6i | −0.101668 | − | 0.543566i | ||||
\(426\) | −5.94726e6 | − | 5.35753e6i | −1.58779 | − | 1.43034i | ||||
\(427\) | −271490. | + | 271490.i | −0.0720582 | + | 0.0720582i | ||||
\(428\) | 995680. | − | 1.22835e6i | 0.262730 | − | 0.324126i | ||||
\(429\) | − | 2.94911e6i | − | 0.773657i | ||||||
\(430\) | −2.74491e6 | − | 4.60769e6i | −0.715908 | − | 1.20174i | ||||
\(431\) | 4.57789e6i | 1.18706i | 0.804813 | + | 0.593529i | \(0.202266\pi\) | ||||
−0.804813 | + | 0.593529i | \(0.797734\pi\) | |||||||
\(432\) | −5.29397e6 | + | 8.13486e6i | −1.36481 | + | 2.09720i | ||||
\(433\) | 4.05050e6 | − | 4.05050e6i | 1.03822 | − | 1.03822i | 0.0389784 | − | 0.999240i | \(-0.487590\pi\) |
0.999240 | − | 0.0389784i | \(-0.0124104\pi\) | |||||||
\(434\) | −206205. | + | 228904.i | −0.0525504 | + | 0.0583349i | ||||
\(435\) | 948489. | + | 1.79919e6i | 0.240331 | + | 0.455885i | ||||
\(436\) | −163776. | − | 1.56546e6i | −0.0412604 | − | 0.394391i | ||||
\(437\) | −165996. | − | 165996.i | −0.0415809 | − | 0.0415809i | ||||
\(438\) | 303353. | + | 5.81506e6i | 0.0755549 | + | 1.44833i | ||||
\(439\) | −724011. | −0.179301 | −0.0896507 | − | 0.995973i | \(-0.528575\pi\) | ||||
−0.0896507 | + | 0.995973i | \(0.528575\pi\) | |||||||
\(440\) | −291608. | + | 2.01260e6i | −0.0718071 | + | 0.495594i | ||||
\(441\) | −9.56215e6 | −2.34131 | ||||||||
\(442\) | 99666.2 | + | 1.91053e6i | 0.0242657 | + | 0.465156i | ||||
\(443\) | 3.59442e6 | + | 3.59442e6i | 0.870201 | + | 0.870201i | 0.992494 | − | 0.122293i | \(-0.0390249\pi\) |
−0.122293 | + | 0.992494i | \(0.539025\pi\) | |||||||
\(444\) | 844516. | + | 8.07237e6i | 0.203306 | + | 1.94332i | ||||
\(445\) | 3.48114e6 | + | 1.07779e6i | 0.833338 | + | 0.258008i | ||||
\(446\) | 690267. | − | 766248.i | 0.164316 | − | 0.182403i | ||||
\(447\) | −942595. | + | 942595.i | −0.223129 | + | 0.223129i | ||||
\(448\) | 190316. | − | 372187.i | 0.0448001 | − | 0.0876126i | ||||
\(449\) | 5.25803e6i | 1.23086i | 0.788193 | + | 0.615428i | \(0.211017\pi\) | ||||
−0.788193 | + | 0.615428i | \(0.788983\pi\) | |||||||
\(450\) | 8.66672e6 | + | 5.29427e6i | 2.01755 | + | 1.23247i | ||||
\(451\) | 2.33421e6i | 0.540380i | ||||||||
\(452\) | 4.60794e6 | − | 5.68475e6i | 1.06087 | − | 1.30878i | ||||
\(453\) | 4.72218e6 | − | 4.72218e6i | 1.08118 | − | 1.08118i | ||||
\(454\) | 2.03863e6 | + | 1.83648e6i | 0.464193 | + | 0.418164i | ||||
\(455\) | 349644. | + | 108253.i | 0.0791768 | + | 0.0245138i | ||||
\(456\) | −1.77236e6 | + | 2.43574e6i | −0.399153 | + | 0.548554i | ||||
\(457\) | 4.48090e6 | + | 4.48090e6i | 1.00363 | + | 1.00363i | 0.999993 | + | 0.00363922i | \(0.00115840\pi\) |
0.00363922 | + | 0.999993i | \(0.498842\pi\) | |||||||
\(458\) | 1.07272e6 | − | 55960.3i | 0.238959 | − | 0.0124657i | ||||
\(459\) | −6.24556e6 | −1.38369 | ||||||||
\(460\) | −599795. | + | 401066.i | −0.132163 | + | 0.0883733i | ||||
\(461\) | −451870. | −0.0990286 | −0.0495143 | − | 0.998773i | \(-0.515767\pi\) | ||||
−0.0495143 | + | 0.998773i | \(0.515767\pi\) | |||||||
\(462\) | −414094. | + | 21601.9i | −0.0902597 | + | 0.00470855i | ||||
\(463\) | −5.17841e6 | − | 5.17841e6i | −1.12265 | − | 1.12265i | −0.991342 | − | 0.131308i | \(-0.958082\pi\) |
−0.131308 | − | 0.991342i | \(-0.541918\pi\) | |||||||
\(464\) | 269692. | + | 1.27483e6i | 0.0581532 | + | 0.274889i | ||||
\(465\) | −3.18215e6 | − | 6.03624e6i | −0.682478 | − | 1.29460i | ||||
\(466\) | 3.08493e6 | + | 2.77903e6i | 0.658083 | + | 0.592827i | ||||
\(467\) | −6.07751e6 | + | 6.07751e6i | −1.28954 | + | 1.28954i | −0.354468 | + | 0.935068i | \(0.615338\pi\) |
−0.935068 | + | 0.354468i | \(0.884662\pi\) | |||||||
\(468\) | −7.32998e6 | − | 5.94154e6i | −1.54699 | − | 1.25396i | ||||
\(469\) | 55535.0i | 0.0116583i | ||||||||
\(470\) | 1.58743e6 | − | 945669.i | 0.331474 | − | 0.197467i | ||||
\(471\) | − | 5.90452e6i | − | 1.22640i | ||||||
\(472\) | −1.07459e6 | − | 6.81648e6i | −0.222017 | − | 1.40833i | ||||
\(473\) | −2.41012e6 | + | 2.41012e6i | −0.495320 | + | 0.495320i | ||||
\(474\) | 1.07230e7 | − | 1.19033e7i | 2.19215 | − | 2.43345i | ||||
\(475\) | 1.50060e6 | + | 1.02771e6i | 0.305163 | + | 0.208995i | ||||
\(476\) | 267533. | − | 27988.8i | 0.0541203 | − | 0.00566197i | ||||
\(477\) | −7.92553e6 | − | 7.92553e6i | −1.59490 | − | 1.59490i | ||||
\(478\) | 83522.5 | + | 1.60107e6i | 0.0167199 | + | 0.320509i | ||||
\(479\) | 4.32290e6 | 0.860867 | 0.430434 | − | 0.902622i | \(-0.358361\pi\) | ||||
0.430434 | + | 0.902622i | \(0.358361\pi\) | |||||||
\(480\) | 6.28214e6 | + | 6.80117e6i | 1.24453 | + | 1.34735i | ||||
\(481\) | −4.55301e6 | −0.897296 | ||||||||
\(482\) | −210864. | − | 4.04211e6i | −0.0413413 | − | 0.792484i | ||||
\(483\) | −104030. | − | 104030.i | −0.0202905 | − | 0.0202905i | ||||
\(484\) | −3.84030e6 | + | 401765.i | −0.745164 | + | 0.0779576i | ||||
\(485\) | −3.12055e6 | + | 1.64507e6i | −0.602389 | + | 0.317564i | ||||
\(486\) | 5.50413e6 | − | 6.11001e6i | 1.05706 | − | 1.17341i | ||||
\(487\) | −3.00888e6 | + | 3.00888e6i | −0.574888 | + | 0.574888i | −0.933490 | − | 0.358602i | \(-0.883253\pi\) |
0.358602 | + | 0.933490i | \(0.383253\pi\) | |||||||
\(488\) | −848385. | − | 5.38161e6i | −0.161266 | − | 1.02297i | ||||
\(489\) | 7.76240e6i | 1.46799i | ||||||||
\(490\) | −1.29263e6 | + | 5.10218e6i | −0.243212 | + | 0.959987i | ||||
\(491\) | − | 7.96829e6i | − | 1.49163i | −0.666153 | − | 0.745815i | \(-0.732060\pi\) | ||
0.666153 | − | 0.745815i | \(-0.267940\pi\) | |||||||
\(492\) | 8.25561e6 | + | 6.69184e6i | 1.53758 | + | 1.24633i | ||||
\(493\) | −592906. | + | 592906.i | −0.109867 | + | 0.109867i | ||||
\(494\) | −1.25549e6 | − | 1.13100e6i | −0.231471 | − | 0.208519i | ||||
\(495\) | 1.90885e6 | − | 6.16536e6i | 0.350153 | − | 1.13096i | ||||
\(496\) | −904810. | − | 4.27702e6i | −0.165140 | − | 0.780615i | ||||
\(497\) | −446430. | − | 446430.i | −0.0810705 | − | 0.0810705i | ||||
\(498\) | −9.10478e6 | + | 474967.i | −1.64511 | + | 0.0858203i | ||||
\(499\) | −8.28416e6 | −1.48935 | −0.744675 | − | 0.667427i | \(-0.767396\pi\) | ||||
−0.744675 | + | 0.667427i | \(0.767396\pi\) | |||||||
\(500\) | 3.99651e6 | − | 3.90870e6i | 0.714917 | − | 0.699209i | ||||
\(501\) | 1.63101e7 | 2.90310 | ||||||||
\(502\) | −4.11867e6 | + | 214858.i | −0.729454 | + | 0.0380532i | ||||
\(503\) | 5.69632e6 | + | 5.69632e6i | 1.00386 | + | 1.00386i | 0.999993 | + | 0.00386994i | \(0.00123184\pi\) |
0.00386994 | + | 0.999993i | \(0.498768\pi\) | |||||||
\(504\) | −780578. | + | 1.07275e6i | −0.136880 | + | 0.188114i | ||||
\(505\) | 1.14845e6 | − | 3.70935e6i | 0.200393 | − | 0.647246i | ||||
\(506\) | 340686. | + | 306903.i | 0.0591531 | + | 0.0532875i | ||||
\(507\) | −2.18085e6 | + | 2.18085e6i | −0.376795 | + | 0.376795i | ||||
\(508\) | −5.83882e6 | + | 7.20326e6i | −1.00384 | + | 1.23842i | ||||
\(509\) | − | 3.73663e6i | − | 0.639272i | −0.947540 | − | 0.319636i | \(-0.896439\pi\) | ||
0.947540 | − | 0.319636i | \(-0.103561\pi\) | |||||||
\(510\) | −1.46318e6 | + | 5.77533e6i | −0.249099 | + | 0.983222i | ||||
\(511\) | 459278.i | 0.0778078i | ||||||||
\(512\) | 2.68147e6 | + | 5.29095e6i | 0.452062 | + | 0.891987i | ||||
\(513\) | 3.90075e6 | − | 3.90075e6i | 0.654416 | − | 0.654416i | ||||
\(514\) | −1.89616e6 | + | 2.10488e6i | −0.316568 | + | 0.351414i | ||||
\(515\) | 5.20348e6 | − | 2.74314e6i | 0.864522 | − | 0.455754i | ||||
\(516\) | 1.61463e6 | + | 1.54335e7i | 0.266961 | + | 2.55177i | ||||
\(517\) | −830328. | − | 830328.i | −0.136623 | − | 0.136623i | ||||
\(518\) | 33350.3 | + | 639301.i | 0.00546103 | + | 0.104684i | ||||
\(519\) | 1.43873e7 | 2.34456 | ||||||||
\(520\) | −4.16117e6 | + | 3.10794e6i | −0.674850 | + | 0.504039i | ||||
\(521\) | −4.16069e6 | −0.671538 | −0.335769 | − | 0.941944i | \(-0.608996\pi\) | ||||
−0.335769 | + | 0.941944i | \(0.608996\pi\) | |||||||
\(522\) | −215441. | − | 4.12986e6i | −0.0346061 | − | 0.663375i | ||||
\(523\) | −4.46268e6 | − | 4.46268e6i | −0.713413 | − | 0.713413i | 0.253835 | − | 0.967248i | \(-0.418308\pi\) |
−0.967248 | + | 0.253835i | \(0.918308\pi\) | |||||||
\(524\) | −972125. | − | 9.29213e6i | −0.154666 | − | 1.47838i | ||||
\(525\) | 940433. | + | 644070.i | 0.148912 | + | 0.101985i | ||||
\(526\) | 6.82351e6 | − | 7.57461e6i | 1.07533 | − | 1.19370i | ||||
\(527\) | 1.98918e6 | − | 1.98918e6i | 0.311995 | − | 0.311995i | ||||
\(528\) | 3.20933e6 | − | 4.93155e6i | 0.500991 | − | 0.769837i | ||||
\(529\) | − | 6.27365e6i | − | 0.974723i | ||||||
\(530\) | −5.30030e6 | + | 3.15752e6i | −0.819617 | + | 0.488266i | ||||
\(531\) | 2.19007e7i | 3.37071i | ||||||||
\(532\) | −149611. | + | 184572.i | −0.0229183 | + | 0.0282740i | ||||
\(533\) | −4.21536e6 | + | 4.21536e6i | −0.642712 | + | 0.642712i | ||||
\(534\) | −7.83379e6 | − | 7.05699e6i | −1.18883 | − | 1.07094i | ||||
\(535\) | 1.28816e6 | + | 2.44351e6i | 0.194574 | + | 0.369088i | ||||
\(536\) | −637194. | − | 463651.i | −0.0957987 | − | 0.0697074i | ||||
\(537\) | 8.55317e6 | + | 8.55317e6i | 1.27995 | + | 1.27995i | ||||
\(538\) | 2.45017e6 | − | 127817.i | 0.364956 | − | 0.0190386i | ||||
\(539\) | 3.34490e6 | 0.495920 | ||||||||
\(540\) | −9.42465e6 | − | 1.40946e7i | −1.39085 | − | 2.08002i | ||||
\(541\) | −1.24455e7 | −1.82818 | −0.914090 | − | 0.405511i | \(-0.867094\pi\) | ||||
−0.914090 | + | 0.405511i | \(0.867094\pi\) | |||||||
\(542\) | −2.80248e6 | + | 146196.i | −0.409774 | + | 0.0213766i | ||||
\(543\) | −5.79026e6 | − | 5.79026e6i | −0.842749 | − | 0.842749i | ||||
\(544\) | −1.91245e6 | + | 3.30328e6i | −0.277072 | + | 0.478573i | ||||
\(545\) | 2.62666e6 | + | 813237.i | 0.378803 | + | 0.117280i | ||||
\(546\) | −786823. | − | 708801.i | −0.112952 | − | 0.101752i | ||||
\(547\) | 5.69241e6 | − | 5.69241e6i | 0.813444 | − | 0.813444i | −0.171705 | − | 0.985148i | \(-0.554927\pi\) |
0.985148 | + | 0.171705i | \(0.0549274\pi\) | |||||||
\(548\) | 7.49234e6 | + | 6.07314e6i | 1.06578 | + | 0.863897i | ||||
\(549\) | 1.72906e7i | 2.44838i | ||||||||
\(550\) | −3.03167e6 | − | 1.85197e6i | −0.427342 | − | 0.261052i | ||||
\(551\) | − | 740614.i | − | 0.103923i | ||||||
\(552\) | 2.06214e6 | − | 325087.i | 0.288052 | − | 0.0454101i | ||||
\(553\) | 893521. | − | 893521.i | 0.124249 | − | 0.124249i | ||||
\(554\) | −942894. | + | 1.04668e6i | −0.130523 | + | 0.144891i | ||||
\(555\) | −1.35445e7 | − | 4.19349e6i | −1.86651 | − | 0.577887i | ||||
\(556\) | 319694. | − | 33445.8i | 0.0438579 | − | 0.00458833i | ||||
\(557\) | −1.81645e6 | − | 1.81645e6i | −0.248076 | − | 0.248076i | 0.572104 | − | 0.820181i | \(-0.306127\pi\) |
−0.820181 | + | 0.572104i | \(0.806127\pi\) | |||||||
\(558\) | 722799. | + | 1.38556e7i | 0.0982725 | + | 1.88382i | ||||
\(559\) | −8.70488e6 | −1.17824 | ||||||||
\(560\) | 466876. | + | 561517.i | 0.0629116 | + | 0.0756646i | ||||
\(561\) | 3.78621e6 | 0.507923 | ||||||||
\(562\) | 260144. | + | 4.98678e6i | 0.0347435 | + | 0.666008i | ||||
\(563\) | −309147. | − | 309147.i | −0.0411049 | − | 0.0411049i | 0.686256 | − | 0.727360i | \(-0.259253\pi\) |
−0.727360 | + | 0.686256i | \(0.759253\pi\) | |||||||
\(564\) | −5.31711e6 | + | 556267.i | −0.703847 | + | 0.0736352i | ||||
\(565\) | 5.96151e6 | + | 1.13084e7i | 0.785661 | + | 1.49033i | ||||
\(566\) | −4.70688e6 | + | 5.22500e6i | −0.617579 | + | 0.685559i | ||||
\(567\) | 1.18530e6 | − | 1.18530e6i | 0.154836 | − | 0.154836i | ||||
\(568\) | 8.84938e6 | − | 1.39506e6i | 1.15091 | − | 0.181436i | ||||
\(569\) | − | 2.96189e6i | − | 0.383521i | −0.981442 | − | 0.191760i | \(-0.938580\pi\) | ||
0.981442 | − | 0.191760i | \(-0.0614197\pi\) | |||||||
\(570\) | −2.69321e6 | − | 4.52090e6i | −0.347203 | − | 0.582825i | ||||
\(571\) | − | 5.02769e6i | − | 0.645325i | −0.946514 | − | 0.322662i | \(-0.895422\pi\) | ||
0.946514 | − | 0.322662i | \(-0.104578\pi\) | |||||||
\(572\) | 2.56407e6 | + | 2.07839e6i | 0.327673 | + | 0.265605i | ||||
\(573\) | 339215. | − | 339215.i | 0.0431607 | − | 0.0431607i | ||||
\(574\) | 622768. | + | 561014.i | 0.0788944 | + | 0.0710712i | ||||
\(575\) | −231736. | − | 1.23898e6i | −0.0292297 | − | 0.156277i | ||||
\(576\) | −5.79150e6 | − | 1.79123e7i | −0.727335 | − | 2.24954i | ||||
\(577\) | −3.54316e6 | − | 3.54316e6i | −0.443048 | − | 0.443048i | 0.449987 | − | 0.893035i | \(-0.351429\pi\) |
−0.893035 | + | 0.449987i | \(0.851429\pi\) | |||||||
\(578\) | 5.56819e6 | − | 290474.i | 0.693257 | − | 0.0361649i | ||||
\(579\) | 1.85052e7 | 2.29402 | ||||||||
\(580\) | −2.23274e6 | − | 443329.i | −0.275593 | − | 0.0547213i | ||||
\(581\) | −719102. | −0.0883793 | ||||||||
\(582\) | 1.01926e7 | − | 531716.i | 1.24732 | − | 0.0650687i | ||||
\(583\) | 2.77240e6 | + | 2.77240e6i | 0.337820 | + | 0.337820i | ||||
\(584\) | −5.26963e6 | − | 3.83442e6i | −0.639363 | − | 0.465230i | ||||
\(585\) | 1.45812e7 | − | 7.68684e6i | 1.76159 | − | 0.928663i | ||||
\(586\) | 2.20870e6 | + | 1.98968e6i | 0.265701 | + | 0.239354i | ||||
\(587\) | −2.07615e6 | + | 2.07615e6i | −0.248693 | + | 0.248693i | −0.820434 | − | 0.571741i | \(-0.806268\pi\) |
0.571741 | + | 0.820434i | \(0.306268\pi\) | |||||||
\(588\) | 9.58933e6 | − | 1.18302e7i | 1.14379 | − | 1.41107i | ||||
\(589\) | 2.48474e6i | 0.295116i | ||||||||
\(590\) | 1.16858e7 | + | 2.96058e6i | 1.38206 | + | 0.350144i | ||||
\(591\) | 1.63445e6i | 0.192487i | ||||||||
\(592\) | −7.61360e6 | − | 4.95475e6i | −0.892865 | − | 0.581055i | ||||
\(593\) | −2.80426e6 | + | 2.80426e6i | −0.327477 | + | 0.327477i | −0.851627 | − | 0.524149i | \(-0.824383\pi\) |
0.524149 | + | 0.851627i | \(0.324383\pi\) | |||||||
\(594\) | −7.21192e6 | + | 8.00578e6i | −0.838658 | + | 0.930974i | ||||
\(595\) | −138980. | + | 448890.i | −0.0160938 | + | 0.0519813i | ||||
\(596\) | −155235. | − | 1.48382e6i | −0.0179008 | − | 0.171106i | ||||
\(597\) | −2.03592e7 | − | 2.03592e7i | −2.33789 | − | 2.33789i | ||||
\(598\) | 61008.0 | + | 1.16948e6i | 0.00697644 | + | 0.133733i | ||||
\(599\) | −2.22073e6 | −0.252888 | −0.126444 | − | 0.991974i | \(-0.540356\pi\) | ||||
−0.126444 | + | 0.991974i | \(0.540356\pi\) | |||||||
\(600\) | −1.52414e7 | + | 5.41306e6i | −1.72841 | + | 0.613853i | ||||
\(601\) | −1.51711e6 | −0.171329 | −0.0856646 | − | 0.996324i | \(-0.527301\pi\) | ||||
−0.0856646 | + | 0.996324i | \(0.527301\pi\) | |||||||
\(602\) | 63762.2 | + | 1.22228e6i | 0.00717088 | + | 0.137461i | ||||
\(603\) | 1.76845e6 | + | 1.76845e6i | 0.198061 | + | 0.198061i | ||||
\(604\) | 777690. | + | 7.43361e6i | 0.0867390 | + | 0.829100i | ||||
\(605\) | 1.99498e6 | − | 6.44357e6i | 0.221590 | − | 0.715712i | ||||
\(606\) | −7.51962e6 | + | 8.34735e6i | −0.831792 | + | 0.923352i | ||||
\(607\) | 7.42339e6 | − | 7.42339e6i | 0.817768 | − | 0.817768i | −0.168016 | − | 0.985784i | \(-0.553736\pi\) |
0.985784 | + | 0.168016i | \(0.0537360\pi\) | |||||||
\(608\) | −868662. | − | 3.25755e6i | −0.0952998 | − | 0.357381i | ||||
\(609\) | − | 464145.i | − | 0.0507120i | ||||||
\(610\) | 9.22591e6 | + | 2.33738e6i | 1.00389 | + | 0.254334i | ||||
\(611\) | − | 2.99898e6i | − | 0.324990i | ||||||
\(612\) | 7.62803e6 | − | 9.41057e6i | 0.823254 | − | 1.01563i | ||||
\(613\) | 9.06287e6 | − | 9.06287e6i | 0.974125 | − | 0.974125i | −0.0255484 | − | 0.999674i | \(-0.508133\pi\) |
0.999674 | + | 0.0255484i | \(0.00813318\pi\) | |||||||
\(614\) | −3.25581e6 | − | 2.93296e6i | −0.348528 | − | 0.313968i | ||||
\(615\) | −1.64225e7 | + | 8.65754e6i | −1.75086 | + | 0.923011i | ||||
\(616\) | 273051. | − | 375253.i | 0.0289929 | − | 0.0398449i | ||||
\(617\) | 3.71664e6 | + | 3.71664e6i | 0.393041 | + | 0.393041i | 0.875770 | − | 0.482729i | \(-0.160354\pi\) |
−0.482729 | + | 0.875770i | \(0.660354\pi\) | |||||||
\(618\) | −1.69961e7 | + | 886630.i | −1.79010 | + | 0.0933838i | ||||
\(619\) | 1.38492e7 | 1.45277 | 0.726386 | − | 0.687287i | \(-0.241199\pi\) | ||||
0.726386 | + | 0.687287i | \(0.241199\pi\) | |||||||
\(620\) | 7.49077e6 | + | 1.48736e6i | 0.782613 | + | 0.155394i | ||||
\(621\) | −3.82305e6 | −0.397815 | ||||||||
\(622\) | 1.50274e7 | − | 783928.i | 1.55742 | − | 0.0812457i | ||||
\(623\) | −588042. | − | 588042.i | −0.0606999 | − | 0.0606999i | ||||
\(624\) | 1.47016e7 | − | 3.11015e6i | 1.51148 | − | 0.319757i | ||||
\(625\) | 3.52962e6 | + | 9.10545e6i | 0.361433 | + | 0.932398i | ||||
\(626\) | −2.70907e6 | − | 2.44044e6i | −0.276302 | − | 0.248904i | ||||
\(627\) | −2.36473e6 | + | 2.36473e6i | −0.240222 | + | 0.240222i | ||||
\(628\) | 5.13362e6 | + | 4.16121e6i | 0.519427 | + | 0.421038i | ||||
\(629\) | − | 5.84537e6i | − | 0.589095i | ||||||
\(630\) | −1.18614e6 | − | 1.99109e6i | −0.119065 | − | 0.199866i | ||||
\(631\) | 1.34462e7i | 1.34439i | 0.740372 | + | 0.672197i | \(0.234649\pi\) | ||||
−0.740372 | + | 0.672197i | \(0.765351\pi\) | |||||||
\(632\) | 2.79219e6 | + | 1.77118e7i | 0.278069 | + | 1.76389i | ||||
\(633\) | −1.55664e7 | + | 1.55664e7i | −1.54411 | + | 1.54411i | ||||
\(634\) | 4.02911e6 | − | 4.47261e6i | 0.398094 | − | 0.441915i | ||||
\(635\) | −7.55395e6 | − | 1.43291e7i | −0.743430 | − | 1.41022i | ||||
\(636\) | 1.77534e7 | − | 1.85733e6i | 1.74036 | − | 0.182074i | ||||
\(637\) | 6.04056e6 | + | 6.04056e6i | 0.589833 | + | 0.589833i | ||||
\(638\) | 75362.8 | + | 1.44465e6i | 0.00733002 | + | 0.140511i | ||||
\(639\) | −2.84322e7 | −2.75459 | ||||||||
\(640\) | −1.03405e7 | + | 668808.i | −0.997915 | + | 0.0645434i | ||||
\(641\) | 4.22833e6 | 0.406465 | 0.203233 | − | 0.979130i | \(-0.434855\pi\) | ||||
0.203233 | + | 0.979130i | \(0.434855\pi\) | |||||||
\(642\) | −416354. | − | 7.98122e6i | −0.0398681 | − | 0.764244i | ||||
\(643\) | −3.02277e6 | − | 3.02277e6i | −0.288322 | − | 0.288322i | 0.548095 | − | 0.836416i | \(-0.315353\pi\) |
−0.836416 | + | 0.548095i | \(0.815353\pi\) | |||||||
\(644\) | 163763. | − | 17132.6i | 0.0155597 | − | 0.00162783i | ||||
\(645\) | −2.58957e7 | − | 8.01751e6i | −2.45091 | − | 0.758823i | ||||
\(646\) | 1.45203e6 | − | 1.61186e6i | 0.136897 | − | 0.151966i | ||||
\(647\) | −1.00207e7 | + | 1.00207e7i | −0.941103 | + | 0.941103i | −0.998360 | − | 0.0572562i | \(-0.981765\pi\) |
0.0572562 | + | 0.998360i | \(0.481765\pi\) | |||||||
\(648\) | 3.70398e6 | + | 2.34956e7i | 0.346522 | + | 2.19811i | ||||
\(649\) | − | 7.66100e6i | − | 0.713959i | ||||||
\(650\) | −2.13043e6 | − | 8.81937e6i | −0.197780 | − | 0.818756i | ||||
\(651\) | 1.55719e6i | 0.144009i | ||||||||
\(652\) | −6.74893e6 | − | 5.47055e6i | −0.621750 | − | 0.503978i | ||||
\(653\) | 8.18950e6 | − | 8.18950e6i | 0.751578 | − | 0.751578i | −0.223195 | − | 0.974774i | \(-0.571649\pi\) |
0.974774 | + | 0.223195i | \(0.0716488\pi\) | |||||||
\(654\) | −5.91092e6 | − | 5.32479e6i | −0.540395 | − | 0.486809i | ||||
\(655\) | 1.55911e7 | + | 4.82713e6i | 1.41995 | + | 0.439629i | ||||
\(656\) | −1.16363e7 | + | 2.46168e6i | −1.05573 | + | 0.223342i | ||||
\(657\) | 1.46252e7 | + | 1.46252e7i | 1.32187 | + | 1.32187i | ||||
\(658\) | −421096. | + | 21967.2i | −0.0379154 | + | 0.00197792i | ||||
\(659\) | −1.48071e7 | −1.32817 | −0.664087 | − | 0.747655i | \(-0.731180\pi\) | ||||
−0.664087 | + | 0.747655i | \(0.731180\pi\) | |||||||
\(660\) | 5.71345e6 | + | 8.54449e6i | 0.510551 | + | 0.763530i | ||||
\(661\) | −1.38435e7 | −1.23237 | −0.616187 | − | 0.787600i | \(-0.711324\pi\) | ||||
−0.616187 | + | 0.787600i | \(0.711324\pi\) | |||||||
\(662\) | −6.47141e6 | + | 337592.i | −0.573923 | + | 0.0299397i | ||||
\(663\) | 6.83752e6 | + | 6.83752e6i | 0.604108 | + | 0.604108i | ||||
\(664\) | 6.00364e6 | − | 8.25078e6i | 0.528439 | − | 0.726231i | ||||
\(665\) | −193558. | − | 367162.i | −0.0169730 | − | 0.0321961i | ||||
\(666\) | 2.14198e7 | + | 1.92958e7i | 1.87124 | + | 1.68569i | ||||
\(667\) | −362931. | + | 362931.i | −0.0315871 | + | 0.0315871i | ||||
\(668\) | −1.14945e7 | + | 1.41806e7i | −0.996668 | + | 1.22957i | ||||
\(669\) | − | 5.21266e6i | − | 0.450292i | ||||||
\(670\) | 1.18267e6 | − | 704547.i | 0.101784 | − | 0.0606350i | ||||
\(671\) | − | 6.04835e6i | − | 0.518598i | ||||||
\(672\) | −544394. | − | 2.04152e6i | −0.0465039 | − | 0.174393i | ||||
\(673\) | 9.85470e6 | − | 9.85470e6i | 0.838699 | − | 0.838699i | −0.149989 | − | 0.988688i | \(-0.547924\pi\) |
0.988688 | + | 0.149989i | \(0.0479238\pi\) | |||||||
\(674\) | 1.85995e6 | − | 2.06469e6i | 0.157707 | − | 0.175067i | ||||
\(675\) | 2.91148e7 | − | 5.44558e6i | 2.45954 | − | 0.460028i | ||||
\(676\) | −359161. | − | 3.43306e6i | −0.0302289 | − | 0.288945i | ||||
\(677\) | 4.40570e6 | + | 4.40570e6i | 0.369439 | + | 0.369439i | 0.867273 | − | 0.497833i | \(-0.165871\pi\) |
−0.497833 | + | 0.867273i | \(0.665871\pi\) | |||||||
\(678\) | −1.92686e6 | − | 3.69366e7i | −0.160982 | − | 3.08591i | ||||
\(679\) | 805021. | 0.0670090 | ||||||||
\(680\) | −3.99012e6 | − | 5.34231e6i | −0.330913 | − | 0.443054i | ||||
\(681\) | 1.38685e7 | 1.14594 | ||||||||
\(682\) | −252840. | − | 4.84677e6i | −0.0208154 | − | 0.399017i | ||||
\(683\) | 4.65818e6 | + | 4.65818e6i | 0.382089 | + | 0.382089i | 0.871854 | − | 0.489765i | \(-0.162918\pi\) |
−0.489765 | + | 0.871854i | \(0.662918\pi\) | |||||||
\(684\) | 1.11331e6 | + | 1.06417e7i | 0.0909865 | + | 0.869701i | ||||
\(685\) | −1.49042e7 | + | 7.85711e6i | −1.21362 | + | 0.639788i | ||||
\(686\) | 1.61571e6 | − | 1.79357e6i | 0.131085 | − | 0.145515i | ||||
\(687\) | 3.83912e6 | − | 3.83912e6i | 0.310341 | − | 0.310341i | ||||
\(688\) | −1.45564e7 | − | 9.47297e6i | −1.17242 | − | 0.762983i | ||||
\(689\) | 1.00134e7i | 0.803585i | ||||||||
\(690\) | −895645. | + | 3.53522e6i | −0.0716165 | + | 0.282679i | ||||
\(691\) | 1.22079e7i | 0.972623i | 0.873785 | + | 0.486312i | \(0.161658\pi\) | ||||
−0.873785 | + | 0.486312i | \(0.838342\pi\) | |||||||
\(692\) | −1.01395e7 | + | 1.25089e7i | −0.804914 | + | 0.993009i | ||||
\(693\) | −1.04147e6 | + | 1.04147e6i | −0.0823783 | + | 0.0823783i | ||||
\(694\) | 9.62558e6 | + | 8.67110e6i | 0.758627 | + | 0.683401i | ||||
\(695\) | −166077. | + | 536409.i | −0.0130421 | + | 0.0421244i | ||||
\(696\) | 5.32548e6 | + | 3.87506e6i | 0.416711 | + | 0.303218i | ||||
\(697\) | −5.41188e6 | − | 5.41188e6i | −0.421955 | − | 0.421955i | ||||
\(698\) | −426753. | + | 22262.3i | −0.0331542 | + | 0.00172955i | ||||
\(699\) | 2.09863e7 | 1.62458 | ||||||||
\(700\) | −1.22275e6 | + | 363740.i | −0.0943175 | + | 0.0280573i | ||||
\(701\) | 1.97541e7 | 1.51832 | 0.759158 | − | 0.650907i | \(-0.225611\pi\) | ||||
0.759158 | + | 0.650907i | \(0.225611\pi\) | |||||||
\(702\) | −2.74817e7 | + | 1.43363e6i | −2.10475 | + | 0.109798i | ||||
\(703\) | 3.65080e6 | + | 3.65080e6i | 0.278612 | + | 0.278612i | ||||
\(704\) | 2.02590e6 | + | 6.26583e6i | 0.154059 | + | 0.476482i | ||||
\(705\) | 2.76217e6 | − | 8.92150e6i | 0.209304 | − | 0.676029i | ||||
\(706\) | −1.26373e7 | − | 1.13841e7i | −0.954204 | − | 0.859585i | ||||
\(707\) | −626593. | + | 626593.i | −0.0471451 | + | 0.0471451i | ||||
\(708\) | −2.70953e7 | − | 2.19629e7i | −2.03147 | − | 1.64667i | ||||
\(709\) | 2.01172e7i | 1.50297i | 0.659749 | + | 0.751486i | \(0.270663\pi\) | ||||
−0.659749 | + | 0.751486i | \(0.729337\pi\) | |||||||
\(710\) | −3.84353e6 | + | 1.51708e7i | −0.286143 | + | 1.12944i | ||||
\(711\) | − | 5.69064e7i | − | 4.22169i | ||||||
\(712\) | 1.16565e7 | − | 1.83759e6i | 0.861723 | − | 0.135846i | ||||
\(713\) | 1.21762e6 | − | 1.21762e6i | 0.0896994 | − | 0.0896994i | ||||
\(714\) | 909993. | − | 1.01016e6i | 0.0668024 | − | 0.0741558i | ||||
\(715\) | −5.10060e6 | + | 2.68891e6i | −0.373127 | + | 0.196703i | ||||
\(716\) | −1.34643e7 | + | 1.40861e6i | −0.981525 | + | 0.102685i | ||||
\(717\) | 5.73000e6 | + | 5.73000e6i | 0.416252 | + | 0.416252i | ||||
\(718\) | 79356.1 | + | 1.52120e6i | 0.00574472 | + | 0.110122i | ||||
\(719\) | −8.94896e6 | −0.645580 | −0.322790 | − | 0.946471i | \(-0.604621\pi\) | ||||
−0.322790 | + | 0.946471i | \(0.604621\pi\) | |||||||
\(720\) | 3.27480e7 | + | 3.01376e6i | 2.35426 | + | 0.216659i | ||||
\(721\) | −1.34236e6 | −0.0961683 | ||||||||
\(722\) | −629878. | − | 1.20743e7i | −0.0449690 | − | 0.862024i | ||||
\(723\) | −1.44661e7 | − | 1.44661e7i | −1.02922 | − | 1.02922i | ||||
\(724\) | 9.11496e6 | − | 953590.i | 0.646261 | − | 0.0676107i | ||||
\(725\) | 2.24697e6 | − | 3.28090e6i | 0.158764 | − | 0.231818i | ||||
\(726\) | −1.30625e7 | + | 1.45003e7i | −0.919779 | + | 1.02102i | ||||
\(727\) | 1.20635e7 | − | 1.20635e7i | 0.846522 | − | 0.846522i | −0.143176 | − | 0.989697i | \(-0.545731\pi\) |
0.989697 | + | 0.143176i | \(0.0457314\pi\) | |||||||
\(728\) | 1.17077e6 | − | 184567.i | 0.0818737 | − | 0.0129070i | ||||
\(729\) | − | 9.63534e6i | − | 0.671503i | ||||||
\(730\) | 9.78078e6 | − | 5.82665e6i | 0.679307 | − | 0.404680i | ||||
\(731\) | − | 1.11757e7i | − | 0.773540i | ||||||
\(732\) | −2.13917e7 | − | 1.73397e7i | −1.47560 | − | 1.19609i | ||||
\(733\) | −1.21578e7 | + | 1.21578e7i | −0.835786 | + | 0.835786i | −0.988301 | − | 0.152515i | \(-0.951263\pi\) |
0.152515 | + | 0.988301i | \(0.451263\pi\) | |||||||
\(734\) | 1.03183e6 | + | 929509.i | 0.0706913 | + | 0.0636815i | ||||
\(735\) | 1.24062e7 | + | 2.35333e7i | 0.847070 | + | 1.60681i | ||||
\(736\) | −1.17065e6 | + | 2.02201e6i | −0.0796588 | + | 0.137591i | ||||
\(737\) | −618615. | − | 618615.i | −0.0419519 | − | 0.0419519i | ||||
\(738\) | 3.76962e7 | − | 1.96649e6i | 2.54775 | − | 0.132908i | ||||
\(739\) | −1.34461e7 | −0.905699 | −0.452849 | − | 0.891587i | \(-0.649592\pi\) | ||||
−0.452849 | + | 0.891587i | \(0.649592\pi\) | |||||||
\(740\) | 1.31915e7 | − | 8.82075e6i | 0.885551 | − | 0.592143i | ||||
\(741\) | −8.54092e6 | −0.571425 | ||||||||
\(742\) | 1.40601e6 | − | 73346.8i | 0.0937514 | − | 0.00489070i | ||||
\(743\) | 1.01421e7 | + | 1.01421e7i | 0.673994 | + | 0.673994i | 0.958634 | − | 0.284640i | \(-0.0918741\pi\) |
−0.284640 | + | 0.958634i | \(0.591874\pi\) | |||||||
\(744\) | −1.78668e7 | − | 1.30007e7i | −1.18335 | − | 0.861062i | ||||
\(745\) | 2.48968e6 | + | 770826.i | 0.164344 | + | 0.0508821i | ||||
\(746\) | −4.69917e6 | − | 4.23320e6i | −0.309154 | − | 0.278498i | ||||
\(747\) | −2.28990e7 | + | 2.28990e7i | −1.50146 | + | 1.50146i | ||||
\(748\) | −2.66833e6 | + | 3.29188e6i | −0.174376 | + | 0.215125i | ||||
\(749\) | − | 630363.i | − | 0.0410569i | ||||||
\(750\) | 1.78528e6 | − | 2.81985e7i | 0.115892 | − | 1.83051i | ||||
\(751\) | 2.32212e7i | 1.50240i | 0.660075 | + | 0.751199i | \(0.270524\pi\) | ||||
−0.660075 | + | 0.751199i | \(0.729476\pi\) | |||||||
\(752\) | 3.26360e6 | − | 5.01494e6i | 0.210451 | − | 0.323386i | ||||
\(753\) | −1.47401e7 | + | 1.47401e7i | −0.947358 | + | 0.947358i | ||||
\(754\) | −2.47280e6 | + | 2.74500e6i | −0.158402 | + | 0.175838i | ||||
\(755\) | −1.24727e7 | − | 3.86166e6i | −0.796332 | − | 0.246551i | ||||
\(756\) | 402600. | + | 3.84828e6i | 0.0256194 | + | 0.244885i | ||||
\(757\) | −360441. | − | 360441.i | −0.0228609 | − | 0.0228609i | 0.695584 | − | 0.718445i | \(-0.255146\pi\) |
−0.718445 | + | 0.695584i | \(0.755146\pi\) | |||||||
\(758\) | 297286. | + | 5.69876e6i | 0.0187932 | + | 0.360253i | ||||
\(759\) | 2.31763e6 | 0.146029 | ||||||||
\(760\) | 5.82869e6 | + | 844525.i | 0.366047 | + | 0.0530369i | ||||
\(761\) | 3.99873e6 | 0.250300 | 0.125150 | − | 0.992138i | \(-0.460059\pi\) | ||||
0.125150 | + | 0.992138i | \(0.460059\pi\) | |||||||
\(762\) | 2.44156e6 | + | 4.68031e7i | 0.152328 | + | 2.92003i | ||||
\(763\) | −443703. | − | 443703.i | −0.0275918 | − | 0.0275918i | ||||
\(764\) | 55864.9 | + | 533989.i | 0.00346263 | + | 0.0330978i | ||||
\(765\) | 9.86873e6 | + | 1.87201e7i | 0.609688 | + | 1.15652i | ||||
\(766\) | 1.24317e7 | − | 1.38001e7i | 0.765521 | − | 0.849786i | ||||
\(767\) | 1.38350e7 | − | 1.38350e7i | 0.849162 | − | 0.849162i | ||||
\(768\) | 2.79688e7 | + | 1.07980e7i | 1.71108 | + | 0.660602i | ||||
\(769\) | − | 1.73617e7i | − | 1.05871i | −0.848401 | − | 0.529354i | \(-0.822434\pi\) | ||
0.848401 | − | 0.529354i | \(-0.177566\pi\) | |||||||
\(770\) | 414919. | + | 696495.i | 0.0252195 | + | 0.0423342i | ||||
\(771\) | 1.43191e7i | 0.867523i | ||||||||
\(772\) | −1.30416e7 | + | 1.60892e7i | −0.787565 | + | 0.971606i | ||||
\(773\) | 1.00187e7 | − | 1.00187e7i | 0.603064 | − | 0.603064i | −0.338061 | − | 0.941124i | \(-0.609771\pi\) |
0.941124 | + | 0.338061i | \(0.109771\pi\) | |||||||
\(774\) | 4.09525e7 | + | 3.68916e7i | 2.45713 | + | 2.21348i | ||||
\(775\) | −7.53852e6 | + | 1.10073e7i | −0.450850 | + | 0.658304i | ||||
\(776\) | −6.72096e6 | + | 9.23659e6i | −0.400661 | + | 0.550627i | ||||
\(777\) | 2.28797e6 | + | 2.28797e6i | 0.135956 | + | 0.135956i | ||||
\(778\) | −1.17917e7 | + | 615135.i | −0.698438 | + | 0.0364352i | ||||
\(779\) | 6.76011e6 | 0.399126 | ||||||||
\(780\) | −5.11257e6 | + | 2.57484e7i | −0.300886 | + | 1.51535i | ||||
\(781\) | 9.94575e6 | 0.583459 | ||||||||
\(782\) | −1.50144e6 | + | 78325.0i | −0.0877990 | + | 0.00458019i | ||||
\(783\) | −8.52853e6 | − | 8.52853e6i | −0.497130 | − | 0.497130i | ||||
\(784\) | 3.52756e6 | + | 1.66747e7i | 0.204967 | + | 0.968874i | ||||
\(785\) | −1.02121e7 | + | 5.38355e6i | −0.591481 | + | 0.311814i | ||||
\(786\) | −3.50855e7 | − | 3.16064e7i | −2.02568 | − | 1.82481i | ||||
\(787\) | −3.84520e6 | + | 3.84520e6i | −0.221300 | + | 0.221300i | −0.809046 | − | 0.587746i | \(-0.800016\pi\) |
0.587746 | + | 0.809046i | \(0.300016\pi\) | |||||||
\(788\) | −1.42105e6 | − | 1.15188e6i | −0.0815257 | − | 0.0660831i | ||||
\(789\) | − | 5.15288e7i | − | 2.94685i | ||||||
\(790\) | −3.03641e7 | − | 7.69273e6i | −1.73098 | − | 0.438544i | ||||
\(791\) | − | 2.91728e6i | − | 0.165782i | ||||||
\(792\) | −3.25451e6 | − | 2.06445e7i | −0.184363 | − | 1.16948i | ||||
\(793\) | 1.09227e7 | − | 1.09227e7i | 0.616805 | − | 0.616805i | ||||
\(794\) | −1.33733e7 | + | 1.48453e7i | −0.752811 | + | 0.835677i | ||||
\(795\) | −9.22267e6 | + | 2.97882e7i | −0.517534 | + | 1.67158i | ||||
\(796\) | 3.20492e7 | − | 3.35293e6i | 1.79281 | − | 0.187561i | ||||
\(797\) | −2.16302e7 | − | 2.16302e7i | −1.20618 | − | 1.20618i | −0.972253 | − | 0.233932i | \(-0.924841\pi\) |
−0.233932 | − | 0.972253i | \(-0.575159\pi\) | |||||||
\(798\) | 62561.3 | + | 1.19926e6i | 0.00347775 | + | 0.0666661i | ||||
\(799\) | 3.85023e6 | 0.213363 | ||||||||
\(800\) | 6.03503e6 | − | 1.70663e7i | 0.333392 | − | 0.942788i | ||||
\(801\) | −3.74511e7 | −2.06245 | ||||||||
\(802\) | 799468. | + | 1.53252e7i | 0.0438899 | + | 0.841340i | ||||
\(803\) | −5.11598e6 | − | 5.11598e6i | −0.279989 | − | 0.279989i | ||||
\(804\) | −3.96139e6 | + | 414433.i | −0.216126 | + | 0.0226107i | ||||
\(805\) | −85072.9 | + | 274776.i | −0.00462702 | + | 0.0149448i | ||||
\(806\) | 8.29617e6 | − | 9.20938e6i | 0.449821 | − | 0.499336i | ||||
\(807\) | 8.76881e6 | − | 8.76881e6i | 0.473976 | − | 0.473976i | ||||
\(808\) | −1.95806e6 | − | 1.24207e7i | −0.105511 | − | 0.669293i | ||||
\(809\) | − | 9.05916e6i | − | 0.486650i | −0.969945 | − | 0.243325i | \(-0.921762\pi\) | ||
0.969945 | − | 0.243325i | \(-0.0782382\pi\) | |||||||
\(810\) | −4.02795e7 | − | 1.02048e7i | −2.15711 | − | 0.546502i | ||||
\(811\) | − | 4.21486e6i | − | 0.225025i | −0.993650 | − | 0.112513i | \(-0.964110\pi\) | ||
0.993650 | − | 0.112513i | \(-0.0358899\pi\) | |||||||
\(812\) | 403546. | + | 327106.i | 0.0214785 | + | 0.0174100i | ||||
\(813\) | −1.00297e7 | + | 1.00297e7i | −0.532182 | + | 0.532182i | ||||
\(814\) | −7.49280e6 | − | 6.74981e6i | −0.396354 | − | 0.357051i | ||||
\(815\) | 1.34254e7 | − | 7.07750e6i | 0.707998 | − | 0.373238i | ||||
\(816\) | 3.99296e6 | + | 1.88746e7i | 0.209928 | + | 0.992323i | ||||
\(817\) | 6.97995e6 | + | 6.97995e6i | 0.365845 | + | 0.365845i | ||||
\(818\) | 2.33588e7 | − | 1.21855e6i | 1.22058 | − | 0.0636739i | ||||
\(819\) | −3.76157e6 | −0.195957 | ||||||||
\(820\) | 4.04658e6 | − | 2.03798e7i | 0.210162 | − | 1.05844i | ||||
\(821\) | 3.30523e7 | 1.71137 | 0.855684 | − | 0.517499i | \(-0.173137\pi\) | ||||
0.855684 | + | 0.517499i | \(0.173137\pi\) | |||||||
\(822\) | 4.86814e7 | − | 2.53955e6i | 2.51295 | − | 0.131092i | ||||
\(823\) | −1.25085e7 | − | 1.25085e7i | −0.643733 | − | 0.643733i | 0.307738 | − | 0.951471i | \(-0.400428\pi\) |
−0.951471 | + | 0.307738i | \(0.900428\pi\) | |||||||
\(824\) | 1.12071e7 | − | 1.54019e7i | 0.575011 | − | 0.790236i | ||||
\(825\) | −1.76501e7 | + | 3.30124e6i | −0.902842 | + | 0.168866i | ||||
\(826\) | −2.04395e6 | − | 1.84127e6i | −0.104237 | − | 0.0939005i | ||||
\(827\) | 6.75582e6 | − | 6.75582e6i | 0.343490 | − | 0.343490i | −0.514188 | − | 0.857678i | \(-0.671906\pi\) |
0.857678 | + | 0.514188i | \(0.171906\pi\) | |||||||
\(828\) | 4.66929e6 | − | 5.76043e6i | 0.236687 | − | 0.291998i | ||||
\(829\) | 3.56246e6i | 0.180038i | 0.995940 | + | 0.0900188i | \(0.0286927\pi\) | ||||
−0.995940 | + | 0.0900188i | \(0.971307\pi\) | |||||||
\(830\) | 9.12292e6 | + | 1.53140e7i | 0.459662 | + | 0.771602i | ||||
\(831\) | 7.12042e6i | 0.357687i | ||||||||
\(832\) | −7.65688e6 | + | 1.49740e7i | −0.383481 | + | 0.749947i | ||||
\(833\) | −7.75516e6 | + | 7.75516e6i | −0.387238 | + | 0.387238i | ||||
\(834\) | 1.08741e6 | − | 1.20711e6i | 0.0541351 | − | 0.0600941i | ||||
\(835\) | −1.48710e7 | − | 2.82089e7i | −0.738116 | − | 1.40014i | ||||
\(836\) | −389444. | − | 3.72253e6i | −0.0192721 | − | 0.184214i | ||||
\(837\) | 2.86130e7 | + | 2.86130e7i | 1.41172 | + | 1.41172i | ||||
\(838\) | 599919. | + | 1.15000e7i | 0.0295109 | + | 0.565704i | ||||
\(839\) | −1.61087e7 | −0.790050 | −0.395025 | − | 0.918670i | \(-0.629264\pi\) | ||||
−0.395025 | + | 0.918670i | \(0.629264\pi\) | |||||||
\(840\) | 3.65286e6 | + | 529267.i | 0.178622 | + | 0.0258807i | ||||
\(841\) | 1.88919e7 | 0.921054 | ||||||||
\(842\) | 363830. | + | 6.97437e6i | 0.0176856 | + | 0.339020i | ||||
\(843\) | 1.78470e7 | + | 1.78470e7i | 0.864960 | + | 0.864960i | ||||
\(844\) | −2.56361e6 | − | 2.45044e7i | −0.123878 | − | 1.18410i | ||||
\(845\) | 5.76028e6 | + | 1.78343e6i | 0.277525 | + | 0.0859239i | ||||
\(846\) | −1.27098e7 | + | 1.41088e7i | −0.610538 | + | 0.677743i | ||||
\(847\) | −1.08846e6 | + | 1.08846e6i | −0.0521321 | + | 0.0521321i | ||||
\(848\) | −1.08969e7 | + | 1.67445e7i | −0.520372 | + | 0.799618i | ||||
\(849\) | 3.55448e7i | 1.69241i | ||||||||
\(850\) | 1.13227e7 | − | 2.73514e6i | 0.537532 | − | 0.129847i | ||||
\(851\) | − | 3.57809e6i | − | 0.169366i | ||||||
\(852\) | 2.85130e7 | − | 3.51760e7i | 1.34568 | − | 1.66015i | ||||
\(853\) | −2.22837e7 | + | 2.22837e7i | −1.04861 | + | 1.04861i | −0.0498570 | + | 0.998756i | \(0.515877\pi\) |
−0.998756 | + | 0.0498570i | \(0.984123\pi\) | |||||||
\(854\) | −1.61370e6 | − | 1.45368e6i | −0.0757143 | − | 0.0682064i | ||||
\(855\) | −1.78555e7 | − | 5.52821e6i | −0.835327 | − | 0.258624i | ||||
\(856\) | 7.23261e6 | + | 5.26277e6i | 0.337373 | + | 0.245488i | ||||
\(857\) | −1.51501e7 | − | 1.51501e7i | −0.704635 | − | 0.704635i | 0.260767 | − | 0.965402i | \(-0.416025\pi\) |
−0.965402 | + | 0.260767i | \(0.916025\pi\) | |||||||
\(858\) | 1.66600e7 | − | 869100.i | 0.772606 | − | 0.0403043i | ||||
\(859\) | 4.63842e6 | 0.214480 | 0.107240 | − | 0.994233i | \(-0.465799\pi\) | ||||
0.107240 | + | 0.994233i | \(0.465799\pi\) | |||||||
\(860\) | 2.52207e7 | − | 1.68644e7i | 1.16282 | − | 0.777542i | ||||
\(861\) | 4.23659e6 | 0.194764 | ||||||||
\(862\) | −2.58613e7 | + | 1.34910e6i | −1.18545 | + | 0.0618408i | ||||
\(863\) | 1.61594e7 | + | 1.61594e7i | 0.738581 | + | 0.738581i | 0.972303 | − | 0.233723i | \(-0.0750907\pi\) |
−0.233723 | + | 0.972303i | \(0.575091\pi\) | |||||||
\(864\) | −4.75153e7 | − | 2.75092e7i | −2.16546 | − | 1.25370i | ||||
\(865\) | −1.31179e7 | − | 2.48834e7i | −0.596106 | − | 1.13076i | ||||
\(866\) | 2.40756e7 | + | 2.16883e7i | 1.09090 | + | 0.982722i | ||||
\(867\) | 1.99277e7 | − | 1.99277e7i | 0.900348 | − | 0.900348i | ||||
\(868\) | −1.35388e6 | − | 1.09743e6i | −0.0609933 | − | 0.0494400i | ||||
\(869\) | 1.99062e7i | 0.894209i | ||||||||
\(870\) | −9.88444e6 | + | 5.88840e6i | −0.442745 | + | 0.263754i | ||||
\(871\) | − | 2.23432e6i | − | 0.0997928i | ||||||
\(872\) | 8.79531e6 | − | 1.38654e6i | 0.391706 | − | 0.0617505i | ||||
\(873\) | 2.56350e7 | − | 2.56350e7i | 1.13841 | − | 1.13841i | ||||
\(874\) | 888822. | − | 986659.i | 0.0393583 | − | 0.0436907i | ||||
\(875\) | 256487. | − | 2.21376e6i | 0.0113252 | − | 0.0977484i | ||||
\(876\) | −3.27609e7 | + | 3.42738e6i | −1.44243 | + | 0.150905i | ||||
\(877\) | −3.59530e6 | − | 3.59530e6i | −0.157847 | − | 0.157847i | 0.623765 | − | 0.781612i | \(-0.285602\pi\) |
−0.781612 | + | 0.623765i | \(0.785602\pi\) | |||||||
\(878\) | −213365. | − | 4.09006e6i | −0.00934087 | − | 0.179058i | ||||
\(879\) | 1.50254e7 | 0.655925 | ||||||||
\(880\) | −1.14555e7 | − | 1.05423e6i | −0.498662 | − | 0.0458912i | ||||
\(881\) | −2.22543e7 | −0.965994 | −0.482997 | − | 0.875622i | \(-0.660452\pi\) | ||||
−0.482997 | + | 0.875622i | \(0.660452\pi\) | |||||||
\(882\) | −2.81796e6 | − | 5.40183e7i | −0.121973 | − | 2.33813i | ||||
\(883\) | −4.96533e6 | − | 4.96533e6i | −0.214312 | − | 0.214312i | 0.591784 | − | 0.806096i | \(-0.298424\pi\) |
−0.806096 | + | 0.591784i | \(0.798424\pi\) | |||||||
\(884\) | −1.07635e7 | + | 1.12606e6i | −0.463260 | + | 0.0484654i | ||||
\(885\) | 5.38995e7 | − | 2.84144e7i | 2.31327 | − | 1.21950i | ||||
\(886\) | −1.92462e7 | + | 2.13648e7i | −0.823685 | + | 0.914353i | ||||
\(887\) | −7.10684e6 | + | 7.10684e6i | −0.303297 | + | 0.303297i | −0.842302 | − | 0.539005i | \(-0.818800\pi\) |
0.539005 | + | 0.842302i | \(0.318800\pi\) | |||||||
\(888\) | −4.53533e7 | + | 7.14974e6i | −1.93009 | + | 0.304269i | ||||
\(889\) | 3.69654e6i | 0.156871i | ||||||||
\(890\) | −5.06273e6 | + | 1.99832e7i | −0.214244 | + | 0.845647i | ||||
\(891\) | 2.64066e7i | 1.11434i | ||||||||
\(892\) | 4.53209e6 | + | 3.67362e6i | 0.190716 | + | 0.154590i | ||||
\(893\) | −2.40471e6 | + | 2.40471e6i | −0.100910 | + | 0.100910i | ||||
\(894\) | −5.60266e6 | − | 5.04710e6i | −0.234450 | − | 0.211202i | ||||
\(895\) | 6.99452e6 | − | 2.25915e7i | 0.291877 | − | 0.942732i | ||||
\(896\) | 2.15864e6 | + | 965442.i | 0.0898275 | + | 0.0401750i | ||||
\(897\) | 4.18541e6 | + | 4.18541e6i | 0.173683 | + | 0.173683i | ||||
\(898\) | −2.97035e7 | + | 1.54954e6i | −1.22918 | + | 0.0641225i | ||||
\(899\) | 5.43259e6 | 0.224186 | ||||||||
\(900\) | −2.73542e7 | + | 5.05200e7i | −1.12569 | + | 2.07901i | ||||
\(901\) | −1.28556e7 | −0.527572 | ||||||||
\(902\) | −1.31864e7 | + | 687890.i | −0.539646 | + | 0.0281516i | ||||
\(903\) | 4.37436e6 | + | 4.37436e6i | 0.178523 | + | 0.178523i | ||||
\(904\) | 3.34721e7 | + | 2.43558e7i | 1.36226 | + | 0.991245i | ||||
\(905\) | −4.73510e6 | + | 1.52938e7i | −0.192180 | + | 0.620719i | ||||
\(906\) | 2.80680e7 | + | 2.52848e7i | 1.13603 | + | 1.02338i | ||||
\(907\) | 1.52216e7 | − | 1.52216e7i | 0.614389 | − | 0.614389i | −0.329698 | − | 0.944086i | \(-0.606947\pi\) |
0.944086 | + | 0.329698i | \(0.106947\pi\) | |||||||
\(908\) | −9.77380e6 | + | 1.20578e7i | −0.393413 | + | 0.485347i | ||||
\(909\) | 3.99063e7i | 1.60189i | ||||||||
\(910\) | −508498. | + | 2.00710e6i | −0.0203557 | + | 0.0803463i | ||||
\(911\) | 3.88800e7i | 1.55214i | 0.630648 | + | 0.776069i | \(0.282789\pi\) | ||||
−0.630648 | + | 0.776069i | \(0.717211\pi\) | |||||||
\(912\) | −1.42823e7 | − | 9.29454e6i | −0.568604 | − | 0.370033i | ||||
\(913\) | 8.01022e6 | − | 8.01022e6i | 0.318030 | − | 0.318030i | ||||
\(914\) | −2.39929e7 | + | 2.66339e7i | −0.949985 | + | 1.05455i | ||||
\(915\) | 4.25536e7 | − | 2.24332e7i | 1.68029 | − | 0.885805i | ||||
\(916\) | 632259. | + | 6.04350e6i | 0.0248975 | + | 0.237985i | ||||
\(917\) | −2.63369e6 | − | 2.63369e6i | −0.103429 | − | 0.103429i | ||||
\(918\) | −1.84056e6 | − | 3.52823e7i | −0.0720847 | − | 1.38181i | ||||
\(919\) | −1.59381e7 | −0.622512 | −0.311256 | − | 0.950326i | \(-0.600750\pi\) | ||||
−0.311256 | + | 0.950326i | \(0.600750\pi\) | |||||||
\(920\) | −2.44245e6 | − | 3.27015e6i | −0.0951384 | − | 0.127379i | ||||
\(921\) | −2.21487e7 | −0.860399 | ||||||||
\(922\) | −133165. | − | 2.55269e6i | −0.00515898 | − | 0.0988942i | ||||
\(923\) | 1.79610e7 | + | 1.79610e7i | 0.693948 | + | 0.693948i | ||||
\(924\) | −244066. | − | 2.33292e6i | −0.00940432 | − | 0.0898918i | ||||
\(925\) | 5.09665e6 | + | 2.72492e7i | 0.195853 | + | 1.04713i | ||||
\(926\) | 2.77277e7 | − | 3.07798e7i | 1.06264 | − | 1.17961i | ||||
\(927\) | −4.27461e7 | + | 4.27461e7i | −1.63379 | + | 1.63379i | ||||
\(928\) | −7.12226e6 | + | 1.89923e6i | −0.271486 | + | 0.0723948i | ||||
\(929\) | 3.83803e7i | 1.45905i | 0.683957 | + | 0.729523i | \(0.260258\pi\) | ||||
−0.683957 | + | 0.729523i | \(0.739742\pi\) | |||||||
\(930\) | 3.31620e7 | − | 1.97554e7i | 1.25728 | − | 0.748994i | ||||
\(931\) | − | 9.68717e6i | − | 0.366288i | ||||||
\(932\) | −1.47901e7 | + | 1.82463e7i | −0.557739 | + | 0.688073i | ||||
\(933\) | 5.37808e7 | − | 5.37808e7i | 2.02266 | − | 2.02266i | ||||
\(934\) | −3.61239e7 | − | 3.25419e7i | −1.35496 | − | 1.22061i | ||||
\(935\) | −3.45215e6 | − | 6.54840e6i | −0.129140 | − | 0.244966i | ||||
\(936\) | 3.14046e7 | − | 4.31593e7i | 1.17167 | − | 1.61022i | ||||
\(937\) | −2.55035e7 | − | 2.55035e7i | −0.948965 | − | 0.948965i | 0.0497944 | − | 0.998759i | \(-0.484143\pi\) |
−0.998759 | + | 0.0497944i | \(0.984143\pi\) | |||||||
\(938\) | −313727. | + | 16366.1i | −0.0116425 | + | 0.000607349i | ||||
\(939\) | −1.84294e7 | −0.682097 | ||||||||
\(940\) | 5.81006e6 | + | 8.68897e6i | 0.214467 | + | 0.320737i | ||||
\(941\) | −1.60209e7 | −0.589810 | −0.294905 | − | 0.955527i | \(-0.595288\pi\) | ||||
−0.294905 | + | 0.955527i | \(0.595288\pi\) | |||||||
\(942\) | 3.33557e7 | − | 1.74006e6i | 1.22474 | − | 0.0638904i | ||||
\(943\) | −3.31274e6 | − | 3.31274e6i | −0.121313 | − | 0.121313i | ||||
\(944\) | 3.81908e7 | − | 8.07933e6i | 1.39485 | − | 0.295084i | ||||
\(945\) | −6.45697e6 | − | 1.99913e6i | −0.235206 | − | 0.0728218i | ||||
\(946\) | −1.43255e7 | − | 1.29049e7i | −0.520452 | − | 0.468844i | ||||
\(947\) | 3.20367e6 | − | 3.20367e6i | 0.116084 | − | 0.116084i | −0.646679 | − | 0.762763i | \(-0.723842\pi\) |
0.762763 | + | 0.646679i | \(0.223842\pi\) | |||||||
\(948\) | 7.04040e7 | + | 5.70681e7i | 2.54435 | + | 2.06240i | ||||
\(949\) | − | 1.84779e7i | − | 0.666020i | ||||||
\(950\) | −5.36349e6 | + | 8.78003e6i | −0.192814 | + | 0.315636i | ||||
\(951\) | − | 3.04265e7i | − | 1.09094i | ||||||
\(952\) | 236956. | + | 1.50309e6i | 0.00847373 | + | 0.0537519i | ||||
\(953\) | −1.23052e7 | + | 1.23052e7i | −0.438891 | + | 0.438891i | −0.891639 | − | 0.452748i | \(-0.850444\pi\) |
0.452748 | + | 0.891639i | \(0.350444\pi\) | |||||||
\(954\) | 4.24371e7 | − | 4.71083e7i | 1.50964 | − | 1.67582i | ||||
\(955\) | −895971. | − | 277400.i | −0.0317896 | − | 0.00984233i | ||||
\(956\) | −9.02010e6 | + | 943666.i | −0.319203 | + | 0.0333944i | ||||
\(957\) | 5.17021e6 | + | 5.17021e6i | 0.182485 | + | 0.182485i | ||||
\(958\) | 1.27395e6 | + | 2.44208e7i | 0.0448476 | + | 0.859698i | ||||
\(959\) | 3.84489e6 | 0.135001 | ||||||||
\(960\) | −3.65697e7 | + | 3.74932e7i | −1.28069 | + | 1.31303i | ||||
\(961\) | 1.04030e7 | 0.363369 | ||||||||
\(962\) | −1.34177e6 | − | 2.57207e7i | −0.0467454 | − | 0.896077i | ||||
\(963\) | −2.00732e7 | − | 2.00732e7i | −0.697511 | − | 0.697511i | ||||
\(964\) | 2.27724e7 | − | 2.38241e6i | 0.789254 | − | 0.0825703i | ||||
\(965\) | −1.68725e7 | − | 3.20055e7i | −0.583258 | − | 1.10638i | ||||
\(966\) | 557028. | − | 618343.i | 0.0192059 | − | 0.0213200i | ||||
\(967\) | −2.91509e7 | + | 2.91509e7i | −1.00250 | + | 1.00250i | −0.00250756 | + | 0.999997i | \(0.500798\pi\) |
−0.999997 | + | 0.00250756i | \(0.999202\pi\) | |||||||
\(968\) | −3.40137e6 | − | 2.15761e7i | −0.116672 | − | 0.740090i | ||||
\(969\) | − | 1.09652e7i | − | 0.375153i | ||||||
\(970\) | −1.02129e7 | − | 1.71437e7i | −0.348515 | − | 0.585027i | ||||
\(971\) | − | 3.24023e7i | − | 1.10288i | −0.834215 | − | 0.551439i | \(-0.814079\pi\) | ||
0.834215 | − | 0.551439i | \(-0.185921\pi\) | |||||||
\(972\) | 3.61385e7 | + | 2.92932e7i | 1.22689 | + | 0.994492i | ||||
\(973\) | 90611.5 | − | 90611.5i | 0.00306833 | − | 0.00306833i | ||||
\(974\) | −1.78844e7 | − | 1.61110e7i | −0.604057 | − | 0.544158i | ||||
\(975\) | −3.78360e7 | − | 2.59126e7i | −1.27466 | − | 0.872970i | ||||
\(976\) | 3.01516e7 | − | 6.37863e6i | 1.01318 | − | 0.214340i | ||||
\(977\) | 1.41425e7 | + | 1.41425e7i | 0.474012 | + | 0.474012i | 0.903210 | − | 0.429198i | \(-0.141204\pi\) |
−0.429198 | + | 0.903210i | \(0.641204\pi\) | |||||||
\(978\) | −4.38511e7 | + | 2.28757e6i | −1.46600 | + | 0.0764763i | ||||
\(979\) | 1.31006e7 | 0.436853 | ||||||||
\(980\) | −2.92040e7 | − | 5.79871e6i | −0.971354 | − | 0.192871i | ||||
\(981\) | −2.82584e7 | −0.937509 | ||||||||
\(982\) | 4.50142e7 | − | 2.34824e6i | 1.48960 | − | 0.0777078i | ||||
\(983\) | −2.67228e7 | − | 2.67228e7i | −0.882061 | − | 0.882061i | 0.111683 | − | 0.993744i | \(-0.464376\pi\) |
−0.993744 | + | 0.111683i | \(0.964376\pi\) | |||||||
\(984\) | −3.53704e7 | + | 4.86094e7i | −1.16453 | + | 1.60042i | ||||
\(985\) | 2.82684e6 | − | 1.49024e6i | 0.0928347 | − | 0.0489401i | ||||
\(986\) | −3.52416e6 | − | 3.17470e6i | −0.115442 | − | 0.103994i | ||||
\(987\) | −1.50704e6 | + | 1.50704e6i | −0.0492416 | + | 0.0492416i | ||||
\(988\) | 6.01922e6 | − | 7.42581e6i | 0.196177 | − | 0.242020i | ||||
\(989\) | − | 6.84093e6i | − | 0.222395i | ||||||
\(990\) | 3.53917e7 | + | 8.96648e6i | 1.14766 | + | 0.290759i | ||||
\(991\) | 2.55747e7i | 0.827231i | 0.910452 | + | 0.413616i | \(0.135734\pi\) | ||||
−0.910452 | + | 0.413616i | \(0.864266\pi\) | |||||||
\(992\) | 2.38950e7 | − | 6.37186e6i | 0.770951 | − | 0.205583i | ||||
\(993\) | −2.31603e7 | + | 2.31603e7i | −0.745367 | + | 0.745367i | ||||
\(994\) | 2.39040e6 | − | 2.65353e6i | 0.0767370 | − | 0.0851838i | ||||
\(995\) | −1.66491e7 | + | 5.37748e7i | −0.533131 | + | 1.72195i | ||||
\(996\) | −5.36634e6 | − | 5.12945e7i | −0.171407 | − | 1.63841i | ||||
\(997\) | 3.17239e7 | + | 3.17239e7i | 1.01076 | + | 1.01076i | 0.999941 | + | 0.0108201i | \(0.00344422\pi\) |
0.0108201 | + | 0.999941i | \(0.496556\pi\) | |||||||
\(998\) | −2.44133e6 | − | 4.67986e7i | −0.0775890 | − | 1.48733i | ||||
\(999\) | 8.40815e7 | 2.66555 |
(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 | 20.6.e.b.7.8 | yes | 24 | |
4.3 | odd | 2 | inner | 20.6.e.b.7.11 | yes | 24 | |
5.2 | odd | 4 | 100.6.e.e.43.2 | 24 | |||
5.3 | odd | 4 | inner | 20.6.e.b.3.11 | yes | 24 | |
5.4 | even | 2 | 100.6.e.e.7.5 | 24 | |||
20.3 | even | 4 | inner | 20.6.e.b.3.8 | ✓ | 24 | |
20.7 | even | 4 | 100.6.e.e.43.5 | 24 | |||
20.19 | odd | 2 | 100.6.e.e.7.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.6.e.b.3.8 | ✓ | 24 | 20.3 | even | 4 | inner | |
20.6.e.b.3.11 | yes | 24 | 5.3 | odd | 4 | inner | |
20.6.e.b.7.8 | yes | 24 | 1.1 | even | 1 | trivial | |
20.6.e.b.7.11 | yes | 24 | 4.3 | odd | 2 | inner | |
100.6.e.e.7.2 | 24 | 20.19 | odd | 2 | |||
100.6.e.e.7.5 | 24 | 5.4 | even | 2 | |||
100.6.e.e.43.2 | 24 | 5.2 | odd | 4 | |||
100.6.e.e.43.5 | 24 | 20.7 | even | 4 |