Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,7,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), 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: | \(3.22075717068\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 285x^{6} + 282x^{5} + 62091x^{4} + 29260x^{3} + 4838750x^{2} + 2401000x + 294122500 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(4.65421 - 8.06134i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.7.d.a.5.1 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82843 | − | 4.89898i | −0.353553 | − | 0.612372i | ||||
\(3\) | −12.7609 | − | 7.36750i | −0.472625 | − | 0.272870i | 0.244713 | − | 0.969596i | \(-0.421306\pi\) |
−0.717338 | + | 0.696725i | \(0.754640\pi\) | |||||||
\(4\) | −16.0000 | + | 27.7128i | −0.250000 | + | 0.433013i | ||||
\(5\) | −106.741 | + | 61.6269i | −0.853927 | + | 0.493015i | −0.861974 | − | 0.506953i | \(-0.830772\pi\) |
0.00804690 | + | 0.999968i | \(0.497439\pi\) | |||||||
\(6\) | 83.3537i | 0.385897i | ||||||||
\(7\) | −309.691 | + | 147.446i | −0.902890 | + | 0.429872i | ||||
\(8\) | 181.019 | 0.353553 | ||||||||
\(9\) | −255.940 | − | 443.301i | −0.351084 | − | 0.608095i | ||||
\(10\) | 603.818 | + | 348.614i | 0.603818 | + | 0.348614i | ||||
\(11\) | 292.324 | − | 506.319i | 0.219627 | − | 0.380405i | −0.735067 | − | 0.677995i | \(-0.762849\pi\) |
0.954694 | + | 0.297589i | \(0.0961826\pi\) | |||||||
\(12\) | 408.348 | − | 235.760i | 0.236313 | − | 0.136435i | ||||
\(13\) | − | 1722.98i | − | 0.784241i | −0.919914 | − | 0.392120i | \(-0.871742\pi\) | ||
0.919914 | − | 0.392120i | \(-0.128258\pi\) | |||||||
\(14\) | 1598.27 | + | 1100.13i | 0.582462 | + | 0.400922i | ||||
\(15\) | 1816.14 | 0.538116 | ||||||||
\(16\) | −512.000 | − | 886.810i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1076.36 | + | 621.438i | 0.219085 | + | 0.126489i | 0.605526 | − | 0.795825i | \(-0.292963\pi\) |
−0.386442 | + | 0.922314i | \(0.626296\pi\) | |||||||
\(18\) | −1447.82 | + | 2507.69i | −0.248254 | + | 0.429988i | ||||
\(19\) | −10061.3 | + | 5808.88i | −1.46687 | + | 0.846899i | −0.999313 | − | 0.0370633i | \(-0.988200\pi\) |
−0.467559 | + | 0.883962i | \(0.654866\pi\) | |||||||
\(20\) | − | 3944.12i | − | 0.493015i | ||||||
\(21\) | 5038.24 | + | 400.105i | 0.544028 | + | 0.0432033i | ||||
\(22\) | −3307.26 | −0.310600 | ||||||||
\(23\) | −3912.13 | − | 6776.01i | −0.321536 | − | 0.556917i | 0.659269 | − | 0.751907i | \(-0.270866\pi\) |
−0.980805 | + | 0.194990i | \(0.937533\pi\) | |||||||
\(24\) | −2309.97 | − | 1333.66i | −0.167098 | − | 0.0964742i | ||||
\(25\) | −216.757 | + | 375.434i | −0.0138724 | + | 0.0240278i | ||||
\(26\) | −8440.83 | + | 4873.31i | −0.480247 | + | 0.277271i | ||||
\(27\) | 18284.4i | 0.928942i | ||||||||
\(28\) | 868.910 | − | 10941.6i | 0.0395822 | − | 0.498431i | ||||
\(29\) | 40255.0 | 1.65054 | 0.825270 | − | 0.564738i | \(-0.191023\pi\) | ||||
0.825270 | + | 0.564738i | \(0.191023\pi\) | |||||||
\(30\) | −5136.83 | − | 8897.25i | −0.190253 | − | 0.329528i | ||||
\(31\) | 8271.32 | + | 4775.45i | 0.277645 | + | 0.160298i | 0.632357 | − | 0.774677i | \(-0.282088\pi\) |
−0.354712 | + | 0.934976i | \(0.615421\pi\) | |||||||
\(32\) | −2896.31 | + | 5016.55i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −7460.61 | + | 4307.39i | −0.207603 | + | 0.119859i | ||||
\(34\) | − | 7030.77i | − | 0.178882i | ||||||
\(35\) | 23970.1 | − | 34823.8i | 0.559068 | − | 0.812218i | ||||
\(36\) | 16380.2 | 0.351084 | ||||||||
\(37\) | −41851.5 | − | 72488.9i | −0.826238 | − | 1.43109i | −0.900969 | − | 0.433883i | \(-0.857143\pi\) |
0.0747306 | − | 0.997204i | \(-0.476190\pi\) | |||||||
\(38\) | 56915.2 | + | 32860.0i | 1.03723 | + | 0.598848i | ||||
\(39\) | −12694.0 | + | 21986.7i | −0.213996 | + | 0.370652i | ||||
\(40\) | −19322.2 | + | 11155.7i | −0.301909 | + | 0.174307i | ||||
\(41\) | 66557.3i | 0.965704i | 0.875702 | + | 0.482852i | \(0.160399\pi\) | ||||
−0.875702 | + | 0.482852i | \(0.839601\pi\) | |||||||
\(42\) | −12290.2 | − | 25813.9i | −0.165886 | − | 0.348422i | ||||
\(43\) | −137672. | −1.73158 | −0.865789 | − | 0.500410i | \(-0.833183\pi\) | ||||
−0.865789 | + | 0.500410i | \(0.833183\pi\) | |||||||
\(44\) | 9354.36 | + | 16202.2i | 0.109814 | + | 0.190203i | ||||
\(45\) | 54638.5 | + | 31545.6i | 0.599600 | + | 0.346179i | ||||
\(46\) | −22130.4 | + | 38330.9i | −0.227360 | + | 0.393800i | ||||
\(47\) | −122613. | + | 70790.4i | −1.18098 | + | 0.681837i | −0.956240 | − | 0.292582i | \(-0.905485\pi\) |
−0.224736 | + | 0.974420i | \(0.572152\pi\) | |||||||
\(48\) | 15088.6i | 0.136435i | ||||||||
\(49\) | 74168.2 | − | 91325.6i | 0.630420 | − | 0.776255i | ||||
\(50\) | 2452.32 | 0.0196186 | ||||||||
\(51\) | −9156.89 | − | 15860.2i | −0.0690299 | − | 0.119563i | ||||
\(52\) | 47748.5 | + | 27567.6i | 0.339586 | + | 0.196060i | ||||
\(53\) | 101710. | − | 176167.i | 0.683182 | − | 1.18331i | −0.290823 | − | 0.956777i | \(-0.593929\pi\) |
0.974005 | − | 0.226528i | \(-0.0727376\pi\) | |||||||
\(54\) | 89574.7 | − | 51716.0i | 0.568858 | − | 0.328430i | ||||
\(55\) | 72060.0i | 0.433118i | ||||||||
\(56\) | −56060.1 | + | 26690.6i | −0.319220 | + | 0.151983i | ||||
\(57\) | 171188. | 0.924374 | ||||||||
\(58\) | −113858. | − | 197209.i | −0.583554 | − | 1.01075i | ||||
\(59\) | −7927.04 | − | 4576.68i | −0.0385971 | − | 0.0222841i | 0.480577 | − | 0.876952i | \(-0.340427\pi\) |
−0.519174 | + | 0.854668i | \(0.673760\pi\) | |||||||
\(60\) | −29058.3 | + | 50330.4i | −0.134529 | + | 0.233011i | ||||
\(61\) | −28024.7 | + | 16180.0i | −0.123467 | + | 0.0712837i | −0.560462 | − | 0.828180i | \(-0.689376\pi\) |
0.436995 | + | 0.899464i | \(0.356043\pi\) | |||||||
\(62\) | − | 54028.0i | − | 0.226696i | ||||||
\(63\) | 144625. | + | 99549.0i | 0.578393 | + | 0.398121i | ||||
\(64\) | 32768.0 | 0.125000 | ||||||||
\(65\) | 106182. | + | 183912.i | 0.386642 | + | 0.669684i | ||||
\(66\) | 42203.6 | + | 24366.3i | 0.146797 | + | 0.0847534i | ||||
\(67\) | 17387.6 | − | 30116.1i | 0.0578115 | − | 0.100132i | −0.835671 | − | 0.549230i | \(-0.814921\pi\) |
0.893483 | + | 0.449098i | \(0.148254\pi\) | |||||||
\(68\) | −34443.6 | + | 19886.0i | −0.109542 | + | 0.0632443i | ||||
\(69\) | 115290.i | 0.350951i | ||||||||
\(70\) | −238399. | − | 18932.1i | −0.695040 | − | 0.0551957i | ||||
\(71\) | −76478.5 | −0.213680 | −0.106840 | − | 0.994276i | \(-0.534073\pi\) | ||||
−0.106840 | + | 0.994276i | \(0.534073\pi\) | |||||||
\(72\) | −46330.1 | − | 80246.1i | −0.124127 | − | 0.214994i | ||||
\(73\) | −548044. | − | 316413.i | −1.40879 | − | 0.813366i | −0.413520 | − | 0.910495i | \(-0.635701\pi\) |
−0.995272 | + | 0.0971288i | \(0.969034\pi\) | |||||||
\(74\) | −236748. | + | 410059.i | −0.584239 | + | 1.01193i | ||||
\(75\) | 5532.01 | − | 3193.91i | 0.0131129 | − | 0.00757075i | ||||
\(76\) | − | 371768.i | − | 0.846899i | ||||||
\(77\) | −15875.2 | + | 199905.i | −0.0347733 | + | 0.437876i | ||||
\(78\) | 143617. | 0.302636 | ||||||||
\(79\) | 240692. | + | 416890.i | 0.488180 | + | 0.845553i | 0.999908 | − | 0.0135952i | \(-0.00432761\pi\) |
−0.511728 | + | 0.859148i | \(0.670994\pi\) | |||||||
\(80\) | 109303. | + | 63105.9i | 0.213482 | + | 0.123254i | ||||
\(81\) | −51870.3 | + | 89842.0i | −0.0976031 | + | 0.169054i | ||||
\(82\) | 326063. | − | 188252.i | 0.591371 | − | 0.341428i | ||||
\(83\) | − | 774360.i | − | 1.35428i | −0.735854 | − | 0.677140i | \(-0.763219\pi\) | ||
0.735854 | − | 0.677140i | \(-0.236781\pi\) | |||||||
\(84\) | −91699.9 | + | 133222.i | −0.154714 | + | 0.224770i | ||||
\(85\) | −153189. | −0.249443 | ||||||||
\(86\) | 389397. | + | 674455.i | 0.612205 | + | 1.06037i | ||||
\(87\) | −513689. | − | 296579.i | −0.780087 | − | 0.450383i | ||||
\(88\) | 52916.2 | − | 91653.6i | 0.0776499 | − | 0.134494i | ||||
\(89\) | 362874. | − | 209505.i | 0.514737 | − | 0.297184i | −0.220042 | − | 0.975490i | \(-0.570619\pi\) |
0.734779 | + | 0.678307i | \(0.237286\pi\) | |||||||
\(90\) | − | 356897.i | − | 0.489571i | ||||||
\(91\) | 254046. | + | 533591.i | 0.337123 | + | 0.708083i | ||||
\(92\) | 250376. | 0.321536 | ||||||||
\(93\) | −70366.2 | − | 121878.i | −0.0874813 | − | 0.151522i | ||||
\(94\) | 693601. | + | 400451.i | 0.835077 | + | 0.482132i | ||||
\(95\) | 715966. | − | 1.24009e6i | 0.835068 | − | 1.44638i | ||||
\(96\) | 73918.9 | − | 42677.1i | 0.0835491 | − | 0.0482371i | ||||
\(97\) | 1.26292e6i | 1.38376i | 0.722013 | + | 0.691880i | \(0.243217\pi\) | ||||
−0.722013 | + | 0.691880i | \(0.756783\pi\) | |||||||
\(98\) | −657182. | − | 105041.i | −0.698244 | − | 0.111604i | ||||
\(99\) | −299269. | −0.308430 | ||||||||
\(100\) | −6936.22 | − | 12013.9i | −0.00693622 | − | 0.0120139i | ||||
\(101\) | −995828. | − | 574942.i | −0.966541 | − | 0.558033i | −0.0683612 | − | 0.997661i | \(-0.521777\pi\) |
−0.898180 | + | 0.439628i | \(0.855110\pi\) | |||||||
\(102\) | −51799.2 | + | 89718.8i | −0.0488115 | + | 0.0845441i | ||||
\(103\) | 902082. | − | 520817.i | 0.825533 | − | 0.476622i | −0.0267879 | − | 0.999641i | \(-0.508528\pi\) |
0.852321 | + | 0.523020i | \(0.175195\pi\) | |||||||
\(104\) | − | 311892.i | − | 0.277271i | ||||||
\(105\) | −562443. | + | 267783.i | −0.485860 | + | 0.231321i | ||||
\(106\) | −1.15072e6 | −0.966165 | ||||||||
\(107\) | 369400. | + | 639820.i | 0.301541 | + | 0.522284i | 0.976485 | − | 0.215585i | \(-0.0691658\pi\) |
−0.674945 | + | 0.737868i | \(0.735832\pi\) | |||||||
\(108\) | −506711. | − | 292550.i | −0.402244 | − | 0.232235i | ||||
\(109\) | −36911.1 | + | 63932.0i | −0.0285022 | + | 0.0493672i | −0.879925 | − | 0.475113i | \(-0.842407\pi\) |
0.851422 | + | 0.524480i | \(0.175740\pi\) | |||||||
\(110\) | 353020. | − | 203816.i | 0.265229 | − | 0.153130i | ||||
\(111\) | 1.23336e6i | 0.901824i | ||||||||
\(112\) | 289319. | + | 199145.i | 0.205931 | + | 0.141747i | ||||
\(113\) | −828494. | −0.574188 | −0.287094 | − | 0.957902i | \(-0.592689\pi\) | ||||
−0.287094 | + | 0.957902i | \(0.592689\pi\) | |||||||
\(114\) | −484192. | − | 838644.i | −0.326815 | − | 0.566061i | ||||
\(115\) | 835169. | + | 482185.i | 0.549137 | + | 0.317044i | ||||
\(116\) | −644080. | + | 1.11558e6i | −0.412635 | + | 0.714705i | ||||
\(117\) | −763798. | + | 440979.i | −0.476893 | + | 0.275334i | ||||
\(118\) | 51779.2i | 0.0315144i | ||||||||
\(119\) | −424969. | − | 33748.4i | −0.252183 | − | 0.0200268i | ||||
\(120\) | 328757. | 0.190253 | ||||||||
\(121\) | 714874. | + | 1.23820e6i | 0.403528 | + | 0.698931i | ||||
\(122\) | 158531. | + | 91528.2i | 0.0873043 | + | 0.0504052i | ||||
\(123\) | 490361. | − | 849329.i | 0.263512 | − | 0.456416i | ||||
\(124\) | −264682. | + | 152814.i | −0.138822 | + | 0.0801492i | ||||
\(125\) | − | 1.97927e6i | − | 1.01339i | ||||||
\(126\) | 78626.3 | − | 990084.i | 0.0393057 | − | 0.494949i | ||||
\(127\) | 886054. | 0.432563 | 0.216281 | − | 0.976331i | \(-0.430607\pi\) | ||||
0.216281 | + | 0.976331i | \(0.430607\pi\) | |||||||
\(128\) | −92681.9 | − | 160530.i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 1.75682e6 | + | 1.01430e6i | 0.818387 | + | 0.472496i | ||||
\(130\) | 600654. | − | 1.04036e6i | 0.273398 | − | 0.473538i | ||||
\(131\) | 471848. | − | 272422.i | 0.209888 | − | 0.121179i | −0.391371 | − | 0.920233i | \(-0.627999\pi\) |
0.601259 | + | 0.799054i | \(0.294666\pi\) | |||||||
\(132\) | − | 275673.i | − | 0.119859i | ||||||
\(133\) | 2.25939e6 | − | 3.28245e6i | 0.960365 | − | 1.39522i | ||||
\(134\) | −196718. | −0.0817578 | ||||||||
\(135\) | −1.12681e6 | − | 1.95169e6i | −0.457982 | − | 0.793248i | ||||
\(136\) | 194842. | + | 112492.i | 0.0774581 | + | 0.0447205i | ||||
\(137\) | −1.50754e6 | + | 2.61114e6i | −0.586284 | + | 1.01547i | 0.408430 | + | 0.912790i | \(0.366077\pi\) |
−0.994714 | + | 0.102685i | \(0.967257\pi\) | |||||||
\(138\) | 564806. | − | 326091.i | 0.214913 | − | 0.124080i | ||||
\(139\) | 616326.i | 0.229491i | 0.993395 | + | 0.114746i | \(0.0366053\pi\) | ||||
−0.993395 | + | 0.114746i | \(0.963395\pi\) | |||||||
\(140\) | 581546. | + | 1.22146e6i | 0.211933 | + | 0.445138i | ||||
\(141\) | 2.08619e6 | 0.744212 | ||||||||
\(142\) | 216314. | + | 374666.i | 0.0755473 | + | 0.130852i | ||||
\(143\) | −872377. | − | 503667.i | −0.298329 | − | 0.172240i | ||||
\(144\) | −262083. | + | 453940.i | −0.0877709 | + | 0.152024i | ||||
\(145\) | −4.29686e6 | + | 2.48079e6i | −1.40944 | + | 0.813741i | ||||
\(146\) | 3.57981e6i | 1.15027i | ||||||||
\(147\) | −1.61929e6 | + | 618960.i | −0.509769 | + | 0.194855i | ||||
\(148\) | 2.67849e6 | 0.826238 | ||||||||
\(149\) | −2.26864e6 | − | 3.92941e6i | −0.685816 | − | 1.18787i | −0.973180 | − | 0.230047i | \(-0.926112\pi\) |
0.287364 | − | 0.957822i | \(-0.407221\pi\) | |||||||
\(150\) | −31293.8 | − | 18067.5i | −0.00927224 | − | 0.00535333i | ||||
\(151\) | −1.28825e6 | + | 2.23132e6i | −0.374171 | + | 0.648083i | −0.990203 | − | 0.139638i | \(-0.955406\pi\) |
0.616032 | + | 0.787721i | \(0.288739\pi\) | |||||||
\(152\) | −1.82128e6 | + | 1.05152e6i | −0.518617 | + | 0.299424i | ||||
\(153\) | − | 636204.i | − | 0.177632i | ||||||
\(154\) | 1.02423e6 | − | 487644.i | 0.280437 | − | 0.133518i | ||||
\(155\) | −1.17718e6 | −0.316118 | ||||||||
\(156\) | −406209. | − | 703574.i | −0.106998 | − | 0.185326i | ||||
\(157\) | 1.22590e6 | + | 707772.i | 0.316778 | + | 0.182892i | 0.649955 | − | 0.759972i | \(-0.274788\pi\) |
−0.333178 | + | 0.942864i | \(0.608121\pi\) | |||||||
\(158\) | 1.36156e6 | − | 2.35829e6i | 0.345195 | − | 0.597896i | ||||
\(159\) | −2.59582e6 | + | 1.49870e6i | −0.645778 | + | 0.372840i | ||||
\(160\) | − | 713962.i | − | 0.174307i | ||||||
\(161\) | 2.21065e6 | + | 1.52164e6i | 0.529715 | + | 0.364615i | ||||
\(162\) | 586846. | 0.138032 | ||||||||
\(163\) | −1.72692e6 | − | 2.99111e6i | −0.398758 | − | 0.690669i | 0.594815 | − | 0.803863i | \(-0.297225\pi\) |
−0.993573 | + | 0.113194i | \(0.963892\pi\) | |||||||
\(164\) | −1.84449e6 | − | 1.06492e6i | −0.418162 | − | 0.241426i | ||||
\(165\) | 530902. | − | 919548.i | 0.118185 | − | 0.204702i | ||||
\(166\) | −3.79357e6 | + | 2.19022e6i | −0.829324 | + | 0.478810i | ||||
\(167\) | − | 1.70140e6i | − | 0.365306i | −0.983177 | − | 0.182653i | \(-0.941532\pi\) | ||
0.983177 | − | 0.182653i | \(-0.0584684\pi\) | |||||||
\(168\) | 912019. | + | 72426.8i | 0.192343 | + | 0.0152747i | ||||
\(169\) | 1.85816e6 | 0.384966 | ||||||||
\(170\) | 433285. | + | 750471.i | 0.0881914 | + | 0.152752i | ||||
\(171\) | 5.15016e6 | + | 2.97345e6i | 1.02999 | + | 0.594665i | ||||
\(172\) | 2.20276e6 | − | 3.81529e6i | 0.432894 | − | 0.749795i | ||||
\(173\) | 5.47104e6 | − | 3.15871e6i | 1.05665 | − | 0.610058i | 0.132148 | − | 0.991230i | \(-0.457813\pi\) |
0.924504 | + | 0.381172i | \(0.124479\pi\) | |||||||
\(174\) | 3.35541e6i | 0.636938i | ||||||||
\(175\) | 11771.4 | − | 148228.i | 0.00219641 | − | 0.0276578i | ||||
\(176\) | −598679. | −0.109814 | ||||||||
\(177\) | 67437.3 | + | 116805.i | 0.0121613 | + | 0.0210640i | ||||
\(178\) | −2.05272e6 | − | 1.18514e6i | −0.363974 | − | 0.210141i | ||||
\(179\) | −1.94905e6 | + | 3.37586e6i | −0.339832 | + | 0.588607i | −0.984401 | − | 0.175940i | \(-0.943704\pi\) |
0.644569 | + | 0.764546i | \(0.277037\pi\) | |||||||
\(180\) | −1.74843e6 | + | 1.00946e6i | −0.299800 | + | 0.173090i | ||||
\(181\) | − | 1.29647e6i | − | 0.218638i | −0.994007 | − | 0.109319i | \(-0.965133\pi\) | ||
0.994007 | − | 0.109319i | \(-0.0348670\pi\) | |||||||
\(182\) | 1.89550e6 | − | 2.75379e6i | 0.314419 | − | 0.456790i | ||||
\(183\) | 476826. | 0.0778048 | ||||||||
\(184\) | −708171. | − | 1.22659e6i | −0.113680 | − | 0.196900i | ||||
\(185\) | 8.93452e6 | + | 5.15835e6i | 1.41109 | + | 0.814696i | ||||
\(186\) | −398051. | + | 689445.i | −0.0618586 | + | 0.107142i | ||||
\(187\) | 629293. | − | 363322.i | 0.0962338 | − | 0.0555606i | ||||
\(188\) | − | 4.53058e6i | − | 0.681837i | ||||||
\(189\) | −2.69596e6 | − | 5.66250e6i | −0.399326 | − | 0.838732i | ||||
\(190\) | −8.10023e6 | −1.18096 | ||||||||
\(191\) | 5.04551e6 | + | 8.73908e6i | 0.724111 | + | 1.25420i | 0.959339 | + | 0.282256i | \(0.0910828\pi\) |
−0.235228 | + | 0.971940i | \(0.575584\pi\) | |||||||
\(192\) | −418148. | − | 241418.i | −0.0590781 | − | 0.0341088i | ||||
\(193\) | −50987.6 | + | 88313.1i | −0.00709239 | + | 0.0122844i | −0.869550 | − | 0.493845i | \(-0.835591\pi\) |
0.862457 | + | 0.506130i | \(0.168924\pi\) | |||||||
\(194\) | 6.18702e6 | − | 3.57208e6i | 0.847376 | − | 0.489233i | ||||
\(195\) | − | 3.12917e6i | − | 0.422013i | ||||||
\(196\) | 1.34420e6 | + | 3.51662e6i | 0.178523 | + | 0.467043i | ||||
\(197\) | −1.35768e6 | −0.177582 | −0.0887912 | − | 0.996050i | \(-0.528300\pi\) | ||||
−0.0887912 | + | 0.996050i | \(0.528300\pi\) | |||||||
\(198\) | 846461. | + | 1.46611e6i | 0.109046 | + | 0.188874i | ||||
\(199\) | −1.11375e7 | − | 6.43022e6i | −1.41328 | − | 0.815956i | −0.417582 | − | 0.908639i | \(-0.637122\pi\) |
−0.995696 | + | 0.0926828i | \(0.970456\pi\) | |||||||
\(200\) | −39237.2 | + | 67960.8i | −0.00490465 | + | 0.00849510i | ||||
\(201\) | −443761. | + | 256206.i | −0.0546463 | + | 0.0315501i | ||||
\(202\) | 6.50472e6i | 0.789178i | ||||||||
\(203\) | −1.24666e7 | + | 5.93545e6i | −1.49026 | + | 0.709522i | ||||
\(204\) | 586041. | 0.0690299 | ||||||||
\(205\) | −4.10172e6 | − | 7.10438e6i | −0.476107 | − | 0.824641i | ||||
\(206\) | −5.10295e6 | − | 2.94619e6i | −0.583740 | − | 0.337022i | ||||
\(207\) | −2.00254e6 | + | 3.46850e6i | −0.225772 | + | 0.391049i | ||||
\(208\) | −1.52795e6 | + | 882164.i | −0.169793 | + | 0.0980301i | ||||
\(209\) | 6.79229e6i | 0.744007i | ||||||||
\(210\) | 2.90270e6 | + | 1.99799e6i | 0.313432 | + | 0.215743i | ||||
\(211\) | −2.60412e6 | −0.277213 | −0.138606 | − | 0.990348i | \(-0.544262\pi\) | ||||
−0.138606 | + | 0.990348i | \(0.544262\pi\) | |||||||
\(212\) | 3.25472e6 | + | 5.63734e6i | 0.341591 | + | 0.591653i | ||||
\(213\) | 975932. | + | 563455.i | 0.100991 | + | 0.0583069i | ||||
\(214\) | 2.08964e6 | − | 3.61937e6i | 0.213221 | − | 0.369310i | ||||
\(215\) | 1.46953e7 | − | 8.48433e6i | 1.47864 | − | 0.853693i | ||||
\(216\) | 3.30982e6i | 0.328430i | ||||||||
\(217\) | −3.26568e6 | − | 259340.i | −0.319591 | − | 0.0253799i | ||||
\(218\) | 417602. | 0.0403082 | ||||||||
\(219\) | 4.66235e6 | + | 8.07542e6i | 0.443887 | + | 0.768835i | ||||
\(220\) | −1.99698e6 | − | 1.15296e6i | −0.187545 | − | 0.108279i | ||||
\(221\) | 1.07072e6 | − | 1.85455e6i | 0.0991975 | − | 0.171815i | ||||
\(222\) | 6.04221e6 | − | 3.48847e6i | 0.552252 | − | 0.318843i | ||||
\(223\) | − | 2.84513e6i | − | 0.256559i | −0.991738 | − | 0.128280i | \(-0.959054\pi\) | ||
0.991738 | − | 0.128280i | \(-0.0409455\pi\) | |||||||
\(224\) | 157289. | − | 1.98063e6i | 0.0139944 | − | 0.176222i | ||||
\(225\) | 221907. | 0.0194815 | ||||||||
\(226\) | 2.34334e6 | + | 4.05878e6i | 0.203006 | + | 0.351617i | ||||
\(227\) | −8.93407e6 | − | 5.15809e6i | −0.763786 | − | 0.440972i | 0.0668673 | − | 0.997762i | \(-0.478700\pi\) |
−0.830653 | + | 0.556790i | \(0.812033\pi\) | |||||||
\(228\) | −2.73900e6 | + | 4.74409e6i | −0.231093 | + | 0.400266i | ||||
\(229\) | −2.33247e6 | + | 1.34665e6i | −0.194227 | + | 0.112137i | −0.593960 | − | 0.804495i | \(-0.702436\pi\) |
0.399733 | + | 0.916632i | \(0.369103\pi\) | |||||||
\(230\) | − | 5.45530e6i | − | 0.448368i | ||||||
\(231\) | 1.67538e6 | − | 2.43400e6i | 0.135918 | − | 0.197462i | ||||
\(232\) | 7.28694e6 | 0.583554 | ||||||||
\(233\) | 1.94190e6 | + | 3.36348e6i | 0.153518 | + | 0.265902i | 0.932519 | − | 0.361122i | \(-0.117606\pi\) |
−0.779000 | + | 0.627024i | \(0.784273\pi\) | |||||||
\(234\) | 4.32069e6 | + | 2.49455e6i | 0.337214 | + | 0.194691i | ||||
\(235\) | 8.72518e6 | − | 1.51125e7i | 0.672312 | − | 1.16448i | ||||
\(236\) | 253665. | − | 146454.i | 0.0192986 | − | 0.0111420i | ||||
\(237\) | − | 7.09318e6i | − | 0.532839i | ||||||
\(238\) | 1.03666e6 | + | 2.17737e6i | 0.0768964 | + | 0.161511i | ||||
\(239\) | −767.787 | −5.62402e−5 | −2.81201e−5 | − | 1.00000i | \(-0.500009\pi\) | ||||
−2.81201e−5 | 1.00000i | \(0.500009\pi\) | ||||||||
\(240\) | −929865. | − | 1.61057e6i | −0.0672646 | − | 0.116506i | ||||
\(241\) | −6.27199e6 | − | 3.62114e6i | −0.448079 | − | 0.258698i | 0.258940 | − | 0.965893i | \(-0.416627\pi\) |
−0.707018 | + | 0.707195i | \(0.749960\pi\) | |||||||
\(242\) | 4.04394e6 | − | 7.00431e6i | 0.285337 | − | 0.494219i | ||||
\(243\) | 1.28673e7 | − | 7.42896e6i | 0.896746 | − | 0.517737i | ||||
\(244\) | − | 1.03552e6i | − | 0.0712837i | ||||||
\(245\) | −2.28867e6 | + | 1.43189e7i | −0.155627 | + | 0.973671i | ||||
\(246\) | −5.54780e6 | −0.372662 | ||||||||
\(247\) | 1.00086e7 | + | 1.73353e7i | 0.664173 | + | 1.15038i | ||||
\(248\) | 1.49727e6 | + | 864449.i | 0.0981623 | + | 0.0566740i | ||||
\(249\) | −5.70509e6 | + | 9.88151e6i | −0.369543 | + | 0.640067i | ||||
\(250\) | −9.69641e6 | + | 5.59823e6i | −0.620570 | + | 0.358287i | ||||
\(251\) | − | 2.12337e7i | − | 1.34278i | −0.741104 | − | 0.671390i | \(-0.765697\pi\) | ||
0.741104 | − | 0.671390i | \(-0.234303\pi\) | |||||||
\(252\) | −5.07279e6 | + | 2.41519e6i | −0.316990 | + | 0.150921i | ||||
\(253\) | −4.57443e6 | −0.282472 | ||||||||
\(254\) | −2.50614e6 | − | 4.34076e6i | −0.152934 | − | 0.264890i | ||||
\(255\) | 1.95483e6 | + | 1.12862e6i | 0.117893 | + | 0.0680656i | ||||
\(256\) | −524288. | + | 908093.i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.35936e7 | + | 1.36218e7i | −1.38993 | + | 0.802479i | −0.993307 | − | 0.115500i | \(-0.963153\pi\) |
−0.396627 | + | 0.917980i | \(0.629819\pi\) | |||||||
\(258\) | − | 1.14755e7i | − | 0.668210i | ||||||
\(259\) | 2.36492e7 | + | 1.62783e7i | 1.36119 | + | 0.936937i | ||||
\(260\) | −6.79563e6 | −0.386642 | ||||||||
\(261\) | −1.03029e7 | − | 1.78451e7i | −0.579478 | − | 1.00368i | ||||
\(262\) | −2.66918e6 | − | 1.54105e6i | −0.148413 | − | 0.0856865i | ||||
\(263\) | −9.98954e6 | + | 1.73024e7i | −0.549134 | + | 0.951128i | 0.449200 | + | 0.893431i | \(0.351709\pi\) |
−0.998334 | + | 0.0576966i | \(0.981624\pi\) | |||||||
\(264\) | −1.35052e6 | + | 779720.i | −0.0733986 | + | 0.0423767i | ||||
\(265\) | 2.50723e7i | 1.34728i | ||||||||
\(266\) | −2.24712e7 | − | 1.78452e6i | −1.19394 | − | 0.0948150i | ||||
\(267\) | −6.17412e6 | −0.324370 | ||||||||
\(268\) | 556402. | + | 963717.i | 0.0289058 | + | 0.0500662i | ||||
\(269\) | 1.10258e7 | + | 6.36574e6i | 0.566438 | + | 0.327033i | 0.755726 | − | 0.654888i | \(-0.227284\pi\) |
−0.189287 | + | 0.981922i | \(0.560618\pi\) | |||||||
\(270\) | −6.37419e6 | + | 1.10404e7i | −0.323842 | + | 0.560911i | ||||
\(271\) | 1.06993e7 | − | 6.17726e6i | 0.537587 | − | 0.310376i | −0.206513 | − | 0.978444i | \(-0.566212\pi\) |
0.744101 | + | 0.668068i | \(0.232878\pi\) | |||||||
\(272\) | − | 1.27271e6i | − | 0.0632443i | ||||||
\(273\) | 689373. | − | 8.68077e6i | 0.0338818 | − | 0.426649i | ||||
\(274\) | 1.70559e7 | 0.829131 | ||||||||
\(275\) | 126726. | + | 219496.i | 0.00609352 | + | 0.0105543i | ||||
\(276\) | −3.19502e6 | − | 1.84465e6i | −0.151966 | − | 0.0877377i | ||||
\(277\) | 1.10760e7 | − | 1.91842e7i | 0.521127 | − | 0.902619i | −0.478571 | − | 0.878049i | \(-0.658845\pi\) |
0.999698 | − | 0.0245702i | \(-0.00782172\pi\) | |||||||
\(278\) | 3.01937e6 | − | 1.74323e6i | 0.140534 | − | 0.0811374i | ||||
\(279\) | − | 4.88891e6i | − | 0.225113i | ||||||
\(280\) | 4.33904e6 | − | 6.30379e6i | 0.197661 | − | 0.287162i | ||||
\(281\) | 2.38736e7 | 1.07597 | 0.537984 | − | 0.842955i | \(-0.319186\pi\) | ||||
0.537984 | + | 0.842955i | \(0.319186\pi\) | |||||||
\(282\) | −5.90064e6 | − | 1.02202e7i | −0.263119 | − | 0.455735i | ||||
\(283\) | −7.24433e6 | − | 4.18252e6i | −0.319624 | − | 0.184535i | 0.331601 | − | 0.943420i | \(-0.392411\pi\) |
−0.651225 | + | 0.758885i | \(0.725745\pi\) | |||||||
\(284\) | 1.22366e6 | − | 2.11943e6i | 0.0534200 | − | 0.0925262i | ||||
\(285\) | −1.82727e7 | + | 1.05498e7i | −0.789348 | + | 0.455730i | ||||
\(286\) | 5.69834e6i | 0.243585i | ||||||||
\(287\) | −9.81362e6 | − | 2.06122e7i | −0.415129 | − | 0.871924i | ||||
\(288\) | 2.96513e6 | 0.124127 | ||||||||
\(289\) | −1.12964e7 | − | 1.95660e7i | −0.468001 | − | 0.810602i | ||||
\(290\) | 2.43067e7 | + | 1.40335e7i | 0.996625 | + | 0.575402i | ||||
\(291\) | 9.30456e6 | − | 1.61160e7i | 0.377587 | − | 0.653999i | ||||
\(292\) | 1.75374e7 | − | 1.01252e7i | 0.704396 | − | 0.406683i | ||||
\(293\) | 1.37943e7i | 0.548401i | 0.961673 | + | 0.274201i | \(0.0884132\pi\) | ||||
−0.961673 | + | 0.274201i | \(0.911587\pi\) | |||||||
\(294\) | 7.61233e6 | + | 6.18220e6i | 0.299554 | + | 0.243277i | ||||
\(295\) | 1.12819e6 | 0.0439455 | ||||||||
\(296\) | −7.57592e6 | − | 1.31219e7i | −0.292119 | − | 0.505966i | ||||
\(297\) | 9.25772e6 | + | 5.34495e6i | 0.353374 | + | 0.204021i | ||||
\(298\) | −1.28334e7 | + | 2.22281e7i | −0.484945 | + | 0.839950i | ||||
\(299\) | −1.16749e7 | + | 6.74051e6i | −0.436757 | + | 0.252162i | ||||
\(300\) | 204410.i | 0.00757075i | ||||||||
\(301\) | 4.26360e7 | − | 2.02993e7i | 1.56342 | − | 0.744357i | ||||
\(302\) | 1.45749e7 | 0.529158 | ||||||||
\(303\) | 8.47176e6 | + | 1.46735e7i | 0.304541 | + | 0.527481i | ||||
\(304\) | 1.03027e7 | + | 5.94829e6i | 0.366718 | + | 0.211725i | ||||
\(305\) | 1.99425e6 | − | 3.45414e6i | 0.0702879 | − | 0.121742i | ||||
\(306\) | −3.11675e6 | + | 1.79946e6i | −0.108777 | + | 0.0628025i | ||||
\(307\) | 4.52038e7i | 1.56228i | 0.624353 | + | 0.781142i | \(0.285363\pi\) | ||||
−0.624353 | + | 0.781142i | \(0.714637\pi\) | |||||||
\(308\) | −5.28592e6 | − | 3.63842e6i | −0.180912 | − | 0.124526i | ||||
\(309\) | −1.53485e7 | −0.520223 | ||||||||
\(310\) | 3.32958e6 | + | 5.76700e6i | 0.111765 | + | 0.193582i | ||||
\(311\) | −2.86791e7 | − | 1.65579e7i | −0.953420 | − | 0.550457i | −0.0592781 | − | 0.998242i | \(-0.518880\pi\) |
−0.894142 | + | 0.447784i | \(0.852213\pi\) | |||||||
\(312\) | −2.29786e6 | + | 3.98002e6i | −0.0756590 | + | 0.131045i | ||||
\(313\) | −3.14848e7 | + | 1.81778e7i | −1.02676 | + | 0.592799i | −0.916054 | − | 0.401054i | \(-0.868644\pi\) |
−0.110704 | + | 0.993853i | \(0.535311\pi\) | |||||||
\(314\) | − | 8.00752e6i | − | 0.258648i | ||||||
\(315\) | −2.15723e7 | − | 1.71314e6i | −0.690185 | − | 0.0548102i | ||||
\(316\) | −1.54043e7 | −0.488180 | ||||||||
\(317\) | −1.06446e7 | − | 1.84369e7i | −0.334157 | − | 0.578776i | 0.649166 | − | 0.760647i | \(-0.275118\pi\) |
−0.983322 | + | 0.181871i | \(0.941785\pi\) | |||||||
\(318\) | 1.46842e7 | + | 8.47791e6i | 0.456634 | + | 0.263638i | ||||
\(319\) | 1.17675e7 | − | 2.03819e7i | 0.362503 | − | 0.627874i | ||||
\(320\) | −3.49769e6 | + | 2.01939e6i | −0.106741 | + | 0.0616269i | ||||
\(321\) | − | 1.08862e7i | − | 0.329126i | ||||||
\(322\) | 1.20183e6 | − | 1.51338e7i | 0.0359978 | − | 0.453294i | ||||
\(323\) | −1.44394e7 | −0.428492 | ||||||||
\(324\) | −1.65985e6 | − | 2.87494e6i | −0.0488016 | − | 0.0845268i | ||||
\(325\) | 646864. | + | 373467.i | 0.0188435 | + | 0.0108793i | ||||
\(326\) | −9.76893e6 | + | 1.69203e7i | −0.281964 | + | 0.488377i | ||||
\(327\) | 942037. | − | 543885.i | 0.0269417 | − | 0.0155548i | ||||
\(328\) | 1.20482e7i | 0.341428i | ||||||||
\(329\) | 2.75342e7 | − | 4.00019e7i | 0.773189 | − | 1.12329i | ||||
\(330\) | −6.00647e6 | −0.167139 | ||||||||
\(331\) | 6.75682e6 | + | 1.17032e7i | 0.186320 | + | 0.322715i | 0.944020 | − | 0.329887i | \(-0.107011\pi\) |
−0.757701 | + | 0.652602i | \(0.773677\pi\) | |||||||
\(332\) | 2.14597e7 | + | 1.23898e7i | 0.586421 | + | 0.338570i | ||||
\(333\) | −2.14229e7 | + | 3.71056e7i | −0.580158 | + | 1.00486i | ||||
\(334\) | −8.33511e6 | + | 4.81228e6i | −0.223703 | + | 0.129155i | ||||
\(335\) | 4.28616e6i | 0.114008i | ||||||||
\(336\) | −2.22476e6 | − | 4.67282e6i | −0.0586497 | − | 0.123186i | ||||
\(337\) | −2.15994e7 | −0.564354 | −0.282177 | − | 0.959362i | \(-0.591057\pi\) | ||||
−0.282177 | + | 0.959362i | \(0.591057\pi\) | |||||||
\(338\) | −5.25567e6 | − | 9.10308e6i | −0.136106 | − | 0.235743i | ||||
\(339\) | 1.05723e7 | + | 6.10393e6i | 0.271376 | + | 0.156679i | ||||
\(340\) | 2.45103e6 | − | 4.24530e6i | 0.0623608 | − | 0.108012i | ||||
\(341\) | 4.83581e6 | − | 2.79195e6i | 0.121957 | − | 0.0704117i | ||||
\(342\) | − | 3.36407e7i | − | 0.840983i | ||||||
\(343\) | −9.50364e6 | + | 3.92185e7i | −0.235509 | + | 0.971872i | ||||
\(344\) | −2.49214e7 | −0.612205 | ||||||||
\(345\) | −7.10499e6 | − | 1.23062e7i | −0.173024 | − | 0.299686i | ||||
\(346\) | −3.09489e7 | − | 1.78684e7i | −0.747166 | − | 0.431376i | ||||
\(347\) | 3.45994e6 | − | 5.99279e6i | 0.0828094 | − | 0.143430i | −0.821646 | − | 0.569998i | \(-0.806944\pi\) |
0.904456 | + | 0.426568i | \(0.140277\pi\) | |||||||
\(348\) | 1.64381e7 | − | 9.49052e6i | 0.390043 | − | 0.225192i | ||||
\(349\) | 5.59971e7i | 1.31731i | 0.752443 | + | 0.658657i | \(0.228875\pi\) | ||||
−0.752443 | + | 0.658657i | \(0.771125\pi\) | |||||||
\(350\) | −759463. | + | 361586.i | −0.0177134 | + | 0.00843349i | ||||
\(351\) | 3.15035e7 | 0.728514 | ||||||||
\(352\) | 1.69332e6 | + | 2.93291e6i | 0.0388249 | + | 0.0672468i | ||||
\(353\) | 6.67147e7 | + | 3.85177e7i | 1.51669 | + | 0.875662i | 0.999808 | + | 0.0196071i | \(0.00624152\pi\) |
0.516884 | + | 0.856055i | \(0.327092\pi\) | |||||||
\(354\) | 381483. | − | 660748.i | 0.00859935 | − | 0.0148945i | ||||
\(355\) | 8.16338e6 | − | 4.71313e6i | 0.182467 | − | 0.105347i | ||||
\(356\) | 1.34083e7i | 0.297184i | ||||||||
\(357\) | 5.17433e6 | + | 3.56161e6i | 0.113723 | + | 0.0782785i | ||||
\(358\) | 2.20510e7 | 0.480595 | ||||||||
\(359\) | −2.22864e7 | − | 3.86012e7i | −0.481678 | − | 0.834292i | 0.518100 | − | 0.855320i | \(-0.326639\pi\) |
−0.999779 | + | 0.0210282i | \(0.993306\pi\) | |||||||
\(360\) | 9.89063e6 | + | 5.71036e6i | 0.211990 | + | 0.122393i | ||||
\(361\) | 4.39632e7 | − | 7.61465e7i | 0.934475 | − | 1.61856i | ||||
\(362\) | −6.35136e6 | + | 3.66696e6i | −0.133888 | + | 0.0773002i | ||||
\(363\) | − | 2.10673e7i | − | 0.440443i | ||||||
\(364\) | −1.88520e7 | − | 1.49711e6i | −0.390890 | − | 0.0310420i | ||||
\(365\) | 7.79983e7 | 1.60401 | ||||||||
\(366\) | −1.34867e6 | − | 2.33596e6i | −0.0275082 | − | 0.0476455i | ||||
\(367\) | −5.13587e7 | − | 2.96520e7i | −1.03900 | − | 0.599867i | −0.119451 | − | 0.992840i | \(-0.538113\pi\) |
−0.919550 | + | 0.392973i | \(0.871447\pi\) | |||||||
\(368\) | −4.00602e6 | + | 6.93863e6i | −0.0803841 | + | 0.139229i | ||||
\(369\) | 2.95049e7 | − | 1.70347e7i | 0.587240 | − | 0.339043i | ||||
\(370\) | − | 5.83601e7i | − | 1.15215i | ||||||
\(371\) | −5.52355e6 | + | 6.95541e7i | −0.108167 | + | 1.36208i | ||||
\(372\) | 4.50344e6 | 0.0874813 | ||||||||
\(373\) | 1.08638e7 | + | 1.88167e7i | 0.209342 | + | 0.362590i | 0.951507 | − | 0.307626i | \(-0.0995346\pi\) |
−0.742166 | + | 0.670216i | \(0.766201\pi\) | |||||||
\(374\) | −3.55982e6 | − | 2.05526e6i | −0.0680476 | − | 0.0392873i | ||||
\(375\) | −1.45823e7 | + | 2.52572e7i | −0.276523 | + | 0.478952i | ||||
\(376\) | −2.21952e7 | + | 1.28144e7i | −0.417538 | + | 0.241066i | ||||
\(377\) | − | 6.93585e7i | − | 1.29442i | ||||||
\(378\) | −2.01152e7 | + | 2.92234e7i | −0.372433 | + | 0.541073i | ||||
\(379\) | −5.10745e7 | −0.938181 | −0.469091 | − | 0.883150i | \(-0.655418\pi\) | ||||
−0.469091 | + | 0.883150i | \(0.655418\pi\) | |||||||
\(380\) | 2.29109e7 | + | 3.96829e7i | 0.417534 | + | 0.723190i | ||||
\(381\) | −1.13068e7 | − | 6.52800e6i | −0.204440 | − | 0.118034i | ||||
\(382\) | 2.85417e7 | − | 4.94357e7i | 0.512024 | − | 0.886851i | ||||
\(383\) | 2.63520e7 | − | 1.52143e7i | 0.469048 | − | 0.270805i | −0.246793 | − | 0.969068i | \(-0.579377\pi\) |
0.715841 | + | 0.698263i | \(0.246043\pi\) | |||||||
\(384\) | 2.73133e6i | 0.0482371i | ||||||||
\(385\) | −1.06250e7 | − | 2.23163e7i | −0.186185 | − | 0.391058i | ||||
\(386\) | 576859. | 0.0100302 | ||||||||
\(387\) | 3.52359e7 | + | 6.10304e7i | 0.607928 | + | 1.05296i | ||||
\(388\) | −3.49991e7 | − | 2.02067e7i | −0.599185 | − | 0.345940i | ||||
\(389\) | −5.41261e7 | + | 9.37492e7i | −0.919513 | + | 1.59264i | −0.119357 | + | 0.992851i | \(0.538083\pi\) |
−0.800156 | + | 0.599792i | \(0.795250\pi\) | |||||||
\(390\) | −1.53298e7 | + | 8.85064e6i | −0.258429 | + | 0.149204i | ||||
\(391\) | − | 9.72459e6i | − | 0.162683i | ||||||
\(392\) | 1.34259e7 | − | 1.65317e7i | 0.222887 | − | 0.274447i | ||||
\(393\) | −8.02826e6 | −0.132265 | ||||||||
\(394\) | 3.84011e6 | + | 6.65126e6i | 0.0627849 | + | 0.108747i | ||||
\(395\) | −5.13833e7 | − | 2.96662e7i | −0.833740 | − | 0.481360i | ||||
\(396\) | 4.78831e6 | − | 8.29359e6i | 0.0771075 | − | 0.133554i | ||||
\(397\) | −3.15471e7 | + | 1.82137e7i | −0.504183 | + | 0.291090i | −0.730439 | − | 0.682978i | \(-0.760685\pi\) |
0.226257 | + | 0.974068i | \(0.427351\pi\) | |||||||
\(398\) | 7.27497e7i | 1.15394i | ||||||||
\(399\) | −5.30153e7 | + | 2.52410e7i | −0.834608 | + | 0.397363i | ||||
\(400\) | 443918. | 0.00693622 | ||||||||
\(401\) | −3.54840e6 | − | 6.14602e6i | −0.0550300 | − | 0.0953148i | 0.837198 | − | 0.546900i | \(-0.184192\pi\) |
−0.892228 | + | 0.451585i | \(0.850859\pi\) | |||||||
\(402\) | 2.51029e6 | + | 1.44932e6i | 0.0386408 | + | 0.0223093i | ||||
\(403\) | 8.22799e6 | − | 1.42513e7i | 0.125713 | − | 0.217741i | ||||
\(404\) | 3.18665e7 | − | 1.83981e7i | 0.483271 | − | 0.279016i | ||||
\(405\) | − | 1.27864e7i | − | 0.192479i | ||||||
\(406\) | 6.43386e7 | + | 4.42858e7i | 0.961376 | + | 0.661738i | ||||
\(407\) | −4.89367e7 | −0.725857 | ||||||||
\(408\) | −1.65757e6 | − | 2.87100e6i | −0.0244058 | − | 0.0422720i | ||||
\(409\) | −8.67952e7 | − | 5.01113e7i | −1.26860 | − | 0.732429i | −0.293880 | − | 0.955842i | \(-0.594947\pi\) |
−0.974724 | + | 0.223414i | \(0.928280\pi\) | |||||||
\(410\) | −2.32028e7 | + | 4.01885e7i | −0.336658 | + | 0.583109i | ||||
\(411\) | 3.84752e7 | − | 2.22137e7i | 0.554185 | − | 0.319959i | ||||
\(412\) | 3.33323e7i | 0.476622i | ||||||||
\(413\) | 3.12975e6 | + | 248545.i | 0.0444282 | + | 0.00352821i | ||||
\(414\) | 2.26562e7 | 0.319290 | ||||||||
\(415\) | 4.77214e7 | + | 8.26559e7i | 0.667680 | + | 1.15646i | ||||
\(416\) | 8.64341e6 | + | 4.99027e6i | 0.120062 | + | 0.0693177i | ||||
\(417\) | 4.54078e6 | − | 7.86486e6i | 0.0626213 | − | 0.108463i | ||||
\(418\) | 3.32753e7 | − | 1.92115e7i | 0.455610 | − | 0.263046i | ||||
\(419\) | − | 1.18946e8i | − | 1.61699i | −0.588506 | − | 0.808493i | \(-0.700284\pi\) | ||
0.588506 | − | 0.808493i | \(-0.299716\pi\) | |||||||
\(420\) | 1.57806e6 | − | 1.98714e7i | 0.0212999 | − | 0.268214i | ||||
\(421\) | −4.26074e7 | −0.571003 | −0.285502 | − | 0.958378i | \(-0.592160\pi\) | ||||
−0.285502 | + | 0.958378i | \(0.592160\pi\) | |||||||
\(422\) | 7.36556e6 | + | 1.27575e7i | 0.0980096 | + | 0.169758i | ||||
\(423\) | 6.27629e7 | + | 3.62362e7i | 0.829243 | + | 0.478764i | ||||
\(424\) | 1.84115e7 | − | 3.18896e7i | 0.241541 | − | 0.418362i | ||||
\(425\) | −466618. | + | 269402.i | −0.00607847 | + | 0.00350941i | ||||
\(426\) | − | 6.37476e6i | − | 0.0824585i | ||||||
\(427\) | 6.29330e6 | − | 9.14295e6i | 0.0808342 | − | 0.117436i | ||||
\(428\) | −2.36416e7 | −0.301541 | ||||||||
\(429\) | 7.42153e6 | + | 1.28545e7i | 0.0939986 | + | 0.162810i | ||||
\(430\) | −8.31291e7 | − | 4.79946e7i | −1.04556 | − | 0.603652i | ||||
\(431\) | 1.59469e7 | − | 2.76209e7i | 0.199180 | − | 0.344990i | −0.749083 | − | 0.662476i | \(-0.769506\pi\) |
0.948263 | + | 0.317487i | \(0.102839\pi\) | |||||||
\(432\) | 1.62148e7 | − | 9.36159e6i | 0.201122 | − | 0.116118i | ||||
\(433\) | − | 4.34467e7i | − | 0.535172i | −0.963534 | − | 0.267586i | \(-0.913774\pi\) | ||
0.963534 | − | 0.267586i | \(-0.0862259\pi\) | |||||||
\(434\) | 7.96623e6 | + | 1.67320e7i | 0.0974504 | + | 0.204682i | ||||
\(435\) | 7.31089e7 | 0.888183 | ||||||||
\(436\) | −1.18116e6 | − | 2.04582e6i | −0.0142511 | − | 0.0246836i | ||||
\(437\) | 7.87220e7 | + | 4.54502e7i | 0.943305 | + | 0.544617i | ||||
\(438\) | 2.63742e7 | − | 4.56815e7i | 0.313875 | − | 0.543648i | ||||
\(439\) | 9.68525e7 | − | 5.59178e7i | 1.14477 | − | 0.660932i | 0.197161 | − | 0.980371i | \(-0.436828\pi\) |
0.947607 | + | 0.319440i | \(0.103495\pi\) | |||||||
\(440\) | 1.30442e7i | 0.153130i | ||||||||
\(441\) | −5.94673e7 | − | 9.50499e6i | −0.693366 | − | 0.110825i | ||||
\(442\) | −1.21139e7 | −0.140286 | ||||||||
\(443\) | −2.07530e7 | − | 3.59452e7i | −0.238709 | − | 0.413457i | 0.721635 | − | 0.692274i | \(-0.243391\pi\) |
−0.960344 | + | 0.278817i | \(0.910058\pi\) | |||||||
\(444\) | −3.41799e7 | − | 1.97338e7i | −0.390501 | − | 0.225456i | ||||
\(445\) | −2.58223e7 | + | 4.47256e7i | −0.293032 | + | 0.507546i | ||||
\(446\) | −1.39382e7 | + | 8.04725e6i | −0.157110 | + | 0.0907074i | ||||
\(447\) | 6.68569e7i | 0.748555i | ||||||||
\(448\) | −1.01480e7 | + | 4.83152e6i | −0.112861 | + | 0.0537340i | ||||
\(449\) | 5.68298e7 | 0.627823 | 0.313912 | − | 0.949452i | \(-0.398360\pi\) | ||||
0.313912 | + | 0.949452i | \(0.398360\pi\) | |||||||
\(450\) | −627648. | − | 1.08712e6i | −0.00688776 | − | 0.0119300i | ||||
\(451\) | 3.36992e7 | + | 1.94563e7i | 0.367359 | + | 0.212095i | ||||
\(452\) | 1.32559e7 | − | 2.29599e7i | 0.143547 | − | 0.248631i | ||||
\(453\) | 3.28785e7 | − | 1.89824e7i | 0.353685 | − | 0.204200i | ||||
\(454\) | 5.83571e7i | 0.623629i | ||||||||
\(455\) | −6.00007e7 | − | 4.12999e7i | −0.636974 | − | 0.438444i | ||||
\(456\) | 3.09883e7 | 0.326815 | ||||||||
\(457\) | 1.15306e7 | + | 1.99716e7i | 0.120810 | + | 0.209250i | 0.920087 | − | 0.391713i | \(-0.128117\pi\) |
−0.799277 | + | 0.600963i | \(0.794784\pi\) | |||||||
\(458\) | 1.31945e7 | + | 7.61782e6i | 0.137339 | + | 0.0792929i | ||||
\(459\) | −1.13626e7 | + | 1.96806e7i | −0.117500 | + | 0.203517i | ||||
\(460\) | −2.67254e7 | + | 1.54299e7i | −0.274568 | + | 0.158522i | ||||
\(461\) | 9.79606e7i | 0.999882i | 0.866059 | + | 0.499941i | \(0.166645\pi\) | ||||
−0.866059 | + | 0.499941i | \(0.833355\pi\) | |||||||
\(462\) | −1.66628e7 | − | 1.32325e6i | −0.168975 | − | 0.0134189i | ||||
\(463\) | −6.08861e7 | −0.613444 | −0.306722 | − | 0.951799i | \(-0.599232\pi\) | ||||
−0.306722 | + | 0.951799i | \(0.599232\pi\) | |||||||
\(464\) | −2.06106e7 | − | 3.56986e7i | −0.206318 | − | 0.357352i | ||||
\(465\) | 1.50219e7 | + | 8.67290e6i | 0.149405 | + | 0.0862592i | ||||
\(466\) | 1.09851e7 | − | 1.90267e7i | 0.108554 | − | 0.188021i | ||||
\(467\) | −1.20792e7 | + | 6.97395e6i | −0.118601 | + | 0.0684744i | −0.558127 | − | 0.829756i | \(-0.688480\pi\) |
0.439526 | + | 0.898230i | \(0.355146\pi\) | |||||||
\(468\) | − | 2.82226e7i | − | 0.275334i | ||||||
\(469\) | −944264. | + | 1.18904e7i | −0.00915324 | + | 0.115260i | ||||
\(470\) | −9.87141e7 | −0.950793 | ||||||||
\(471\) | −1.04290e7 | − | 1.80636e7i | −0.0998114 | − | 0.172878i | ||||
\(472\) | −1.43495e6 | − | 828467.i | −0.0136461 | − | 0.00787861i | ||||
\(473\) | −4.02449e7 | + | 6.97063e7i | −0.380301 | + | 0.658701i | ||||
\(474\) | −3.47494e7 | + | 2.00626e7i | −0.326296 | + | 0.188387i | ||||
\(475\) | − | 5.03645e6i | − | 0.0469942i | ||||||
\(476\) | 7.73476e6 | − | 1.12371e7i | 0.0717177 | − | 0.104192i | ||||
\(477\) | −1.04127e8 | −0.959416 | ||||||||
\(478\) | 2171.63 | + | 3761.37i | 1.98839e−5 | + | 3.44400e-5i | ||||
\(479\) | 1.36558e8 | + | 7.88418e7i | 1.24254 | + | 0.717381i | 0.969611 | − | 0.244653i | \(-0.0786742\pi\) |
0.272929 | + | 0.962034i | \(0.412007\pi\) | |||||||
\(480\) | −5.26011e6 | + | 9.11078e6i | −0.0475632 | + | 0.0823819i | ||||
\(481\) | −1.24897e8 | + | 7.21091e7i | −1.12232 | + | 0.647970i | ||||
\(482\) | 4.09685e7i | 0.365855i | ||||||||
\(483\) | −1.69991e7 | − | 3.57044e7i | −0.150864 | − | 0.316870i | ||||
\(484\) | −4.57520e7 | −0.403528 | ||||||||
\(485\) | −7.78298e7 | − | 1.34805e8i | −0.682214 | − | 1.18163i | ||||
\(486\) | −7.27886e7 | − | 4.20245e7i | −0.634095 | − | 0.366095i | ||||
\(487\) | 3.45352e7 | − | 5.98168e7i | 0.299003 | − | 0.517888i | −0.676905 | − | 0.736070i | \(-0.736679\pi\) |
0.975908 | + | 0.218182i | \(0.0700126\pi\) | |||||||
\(488\) | −5.07301e6 | + | 2.92890e6i | −0.0436522 | + | 0.0252026i | ||||
\(489\) | 5.08923e7i | 0.435237i | ||||||||
\(490\) | 7.66215e7 | − | 2.92879e7i | 0.651272 | − | 0.248943i | ||||
\(491\) | 4.51500e7 | 0.381429 | 0.190714 | − | 0.981646i | \(-0.438920\pi\) | ||||
0.190714 | + | 0.981646i | \(0.438920\pi\) | |||||||
\(492\) | 1.56915e7 | + | 2.71785e7i | 0.131756 | + | 0.228208i | ||||
\(493\) | 4.33290e7 | + | 2.50160e7i | 0.361608 | + | 0.208774i | ||||
\(494\) | 5.66170e7 | − | 9.80635e7i | 0.469641 | − | 0.813442i | ||||
\(495\) | 3.19443e7 | − | 1.84430e7i | 0.263377 | − | 0.152061i | ||||
\(496\) | − | 9.78012e6i | − | 0.0801492i | ||||||
\(497\) | 2.36847e7 | − | 1.12765e7i | 0.192930 | − | 0.0918552i | ||||
\(498\) | 6.45458e7 | 0.522612 | ||||||||
\(499\) | 2.55111e6 | + | 4.41865e6i | 0.0205318 | + | 0.0355622i | 0.876109 | − | 0.482114i | \(-0.160131\pi\) |
−0.855577 | + | 0.517676i | \(0.826797\pi\) | |||||||
\(500\) | 5.48512e7 | + | 3.16684e7i | 0.438810 | + | 0.253347i | ||||
\(501\) | −1.25350e7 | + | 2.17113e7i | −0.0996810 | + | 0.172653i | ||||
\(502\) | −1.04024e8 | + | 6.00580e7i | −0.822282 | + | 0.474745i | ||||
\(503\) | − | 1.69533e8i | − | 1.33214i | −0.745889 | − | 0.666071i | \(-0.767975\pi\) | ||
0.745889 | − | 0.666071i | \(-0.232025\pi\) | |||||||
\(504\) | 2.61800e7 | + | 1.80203e7i | 0.204493 | + | 0.140757i | ||||
\(505\) | 1.41727e8 | 1.10047 | ||||||||
\(506\) | 1.29385e7 | + | 2.24101e7i | 0.0998690 | + | 0.172978i | ||||
\(507\) | −2.37117e7 | − | 1.36900e7i | −0.181945 | − | 0.105046i | ||||
\(508\) | −1.41769e7 | + | 2.45551e7i | −0.108141 | + | 0.187305i | ||||
\(509\) | −5.33060e7 | + | 3.07762e7i | −0.404225 | + | 0.233379i | −0.688305 | − | 0.725421i | \(-0.741645\pi\) |
0.284081 | + | 0.958800i | \(0.408312\pi\) | |||||||
\(510\) | − | 1.27689e7i | − | 0.0962593i | ||||||
\(511\) | 2.16378e8 | + | 1.71834e7i | 1.62163 | + | 0.128779i | ||||
\(512\) | 5.93164e6 | 0.0441942 | ||||||||
\(513\) | −1.06212e8 | − | 1.83964e8i | −0.786719 | − | 1.36264i | ||||
\(514\) | 1.33465e8 | + | 7.70563e7i | 0.982832 | + | 0.567439i | ||||
\(515\) | −6.41927e7 | + | 1.11185e8i | −0.469963 | + | 0.814000i | ||||
\(516\) | −5.62183e7 | + | 3.24577e7i | −0.409193 | + | 0.236248i | ||||
\(517\) | 8.27748e7i | 0.599000i | ||||||||
\(518\) | 1.28570e7 | − | 1.61899e8i | 0.0925019 | − | 1.16481i | ||||
\(519\) | −9.30871e7 | −0.665867 | ||||||||
\(520\) | 1.92209e7 | + | 3.32916e7i | 0.136699 | + | 0.236769i | ||||
\(521\) | −5.95417e7 | − | 3.43764e7i | −0.421025 | − | 0.243079i | 0.274491 | − | 0.961590i | \(-0.411491\pi\) |
−0.695516 | + | 0.718511i | \(0.744824\pi\) | |||||||
\(522\) | −5.82818e7 | + | 1.00947e8i | −0.409753 | + | 0.709712i | ||||
\(523\) | −2.80297e7 | + | 1.61830e7i | −0.195936 | + | 0.113124i | −0.594758 | − | 0.803905i | \(-0.702752\pi\) |
0.398823 | + | 0.917028i | \(0.369419\pi\) | |||||||
\(524\) | 1.74350e7i | 0.121179i | ||||||||
\(525\) | −1.24229e6 | + | 1.80480e6i | −0.00858507 | + | 0.0124724i | ||||
\(526\) | 1.13019e8 | 0.776592 | ||||||||
\(527\) | 5.93530e6 | + | 1.02802e7i | 0.0405518 | + | 0.0702378i | ||||
\(528\) | 7.63967e6 | + | 4.41076e6i | 0.0519006 | + | 0.0299648i | ||||
\(529\) | 4.34084e7 | − | 7.51856e7i | 0.293229 | − | 0.507887i | ||||
\(530\) | 1.22829e8 | − | 7.09151e7i | 0.825034 | − | 0.476334i | ||||
\(531\) | 4.68542e6i | 0.0312943i | ||||||||
\(532\) | 5.48158e7 | + | 1.15133e8i | 0.364058 | + | 0.764656i | ||||
\(533\) | 1.14677e8 | 0.757345 | ||||||||
\(534\) | 1.74630e7 | + | 3.02469e7i | 0.114682 | + | 0.198635i | ||||
\(535\) | −7.88602e7 | − | 4.55300e7i | −0.514987 | − | 0.297328i | ||||
\(536\) | 3.14749e6 | − | 5.45160e6i | 0.0204395 | − | 0.0354022i | ||||
\(537\) | 4.97432e7 | − | 2.87193e7i | 0.321226 | − | 0.185460i | ||||
\(538\) | − | 7.20201e7i | − | 0.462495i | ||||||
\(539\) | −2.45588e7 | − | 6.42494e7i | −0.156834 | − | 0.410301i | ||||
\(540\) | 7.21157e7 | 0.457982 | ||||||||
\(541\) | −9.64842e6 | − | 1.67116e7i | −0.0609347 | − | 0.105542i | 0.833949 | − | 0.551842i | \(-0.186075\pi\) |
−0.894883 | + | 0.446300i | \(0.852741\pi\) | |||||||
\(542\) | −6.05246e7 | − | 3.49439e7i | −0.380132 | − | 0.219469i | ||||
\(543\) | −9.55171e6 | + | 1.65440e7i | −0.0596598 | + | 0.103334i | ||||
\(544\) | −6.23496e6 | + | 3.59976e6i | −0.0387291 | + | 0.0223602i | ||||
\(545\) | − | 9.09887e6i | − | 0.0562080i | ||||||
\(546\) | −4.44768e7 | + | 2.11757e7i | −0.273247 | + | 0.130095i | ||||
\(547\) | 1.69343e8 | 1.03468 | 0.517340 | − | 0.855780i | \(-0.326922\pi\) | ||||
0.517340 | + | 0.855780i | \(0.326922\pi\) | |||||||
\(548\) | −4.82414e7 | − | 8.35566e7i | −0.293142 | − | 0.507737i | ||||
\(549\) | 1.43453e7 | + | 8.28224e6i | 0.0866945 | + | 0.0500531i | ||||
\(550\) | 716872. | − | 1.24166e6i | 0.00430877 | − | 0.00746301i | ||||
\(551\) | −4.05017e8 | + | 2.33837e8i | −2.42113 | + | 1.39784i | ||||
\(552\) | 2.08698e7i | 0.124080i | ||||||||
\(553\) | −1.36009e8 | − | 9.36182e7i | −0.804252 | − | 0.553586i | ||||
\(554\) | −1.25311e8 | −0.736986 | ||||||||
\(555\) | −7.60082e7 | − | 1.31650e8i | −0.444613 | − | 0.770091i | ||||
\(556\) | −1.70801e7 | − | 9.86122e6i | −0.0993727 | − | 0.0573728i | ||||
\(557\) | 7.09397e7 | − | 1.22871e8i | 0.410510 | − | 0.711025i | −0.584435 | − | 0.811440i | \(-0.698684\pi\) |
0.994946 | + | 0.100416i | \(0.0320173\pi\) | |||||||
\(558\) | −2.39507e7 | + | 1.38279e7i | −0.137853 | + | 0.0795893i | ||||
\(559\) | 2.37207e8i | 1.35797i | ||||||||
\(560\) | −4.31548e7 | − | 3.42708e6i | −0.245734 | − | 0.0195146i | ||||
\(561\) | −1.07071e7 | −0.0606434 | ||||||||
\(562\) | −6.75248e7 | − | 1.16956e8i | −0.380412 | − | 0.658893i | ||||
\(563\) | −3.21231e7 | − | 1.85463e7i | −0.180008 | − | 0.103928i | 0.407288 | − | 0.913300i | \(-0.366474\pi\) |
−0.587297 | + | 0.809372i | \(0.699808\pi\) | |||||||
\(564\) | −3.33791e7 | + | 5.78142e7i | −0.186053 | + | 0.322253i | ||||
\(565\) | 8.84342e7 | − | 5.10575e7i | 0.490315 | − | 0.283083i | ||||
\(566\) | 4.73198e7i | 0.260972i | ||||||||
\(567\) | 2.81691e6 | − | 3.54714e7i | 0.0154534 | − | 0.194594i | ||||
\(568\) | −1.38441e7 | −0.0755473 | ||||||||
\(569\) | 1.78272e8 | + | 3.08775e8i | 0.967710 | + | 1.67612i | 0.702151 | + | 0.712028i | \(0.252223\pi\) |
0.265559 | + | 0.964094i | \(0.414443\pi\) | |||||||
\(570\) | 1.03366e8 | + | 5.96784e7i | 0.558153 | + | 0.322250i | ||||
\(571\) | −1.18161e8 | + | 2.04662e8i | −0.634699 | + | 1.09933i | 0.351880 | + | 0.936045i | \(0.385542\pi\) |
−0.986579 | + | 0.163285i | \(0.947791\pi\) | |||||||
\(572\) | 2.79161e7 | − | 1.61173e7i | 0.149165 | − | 0.0861202i | ||||
\(573\) | − | 1.48691e8i | − | 0.790353i | ||||||
\(574\) | −7.32217e7 | + | 1.06377e8i | −0.387172 | + | 0.562486i | ||||
\(575\) | 3.39192e6 | 0.0178420 | ||||||||
\(576\) | −8.38664e6 | − | 1.45261e7i | −0.0438855 | − | 0.0760118i | ||||
\(577\) | 1.18513e8 | + | 6.84236e7i | 0.616935 | + | 0.356188i | 0.775675 | − | 0.631133i | \(-0.217410\pi\) |
−0.158740 | + | 0.987320i | \(0.550743\pi\) | |||||||
\(578\) | −6.39022e7 | + | 1.10682e8i | −0.330927 | + | 0.573182i | ||||
\(579\) | 1.30129e6 | − | 751302.i | 0.00670408 | − | 0.00387060i | ||||
\(580\) | − | 1.58771e8i | − | 0.813741i | ||||||
\(581\) | 1.14176e8 | + | 2.39812e8i | 0.582168 | + | 1.22277i | ||||
\(582\) | −1.05269e8 | −0.533988 | ||||||||
\(583\) | −5.94645e7 | − | 1.02996e8i | −0.300090 | − | 0.519772i | ||||
\(584\) | −9.92065e7 | − | 5.72769e7i | −0.498083 | − | 0.287568i | ||||
\(585\) | 5.43523e7 | − | 9.41409e7i | 0.271488 | − | 0.470231i | ||||
\(586\) | 6.75782e7 | − | 3.90163e7i | 0.335826 | − | 0.193889i | ||||
\(587\) | 6.41884e7i | 0.317353i | 0.987331 | + | 0.158676i | \(0.0507227\pi\) | ||||
−0.987331 | + | 0.158676i | \(0.949277\pi\) | |||||||
\(588\) | 8.75555e6 | − | 5.47785e7i | 0.0430677 | − | 0.269450i | ||||
\(589\) | −1.10960e8 | −0.543026 | ||||||||
\(590\) | −3.19099e6 | − | 5.52696e6i | −0.0155371 | − | 0.0269110i | ||||
\(591\) | 1.73252e7 | + | 1.00027e7i | 0.0839299 | + | 0.0484569i | ||||
\(592\) | −4.28559e7 | + | 7.42286e7i | −0.206560 | + | 0.357772i | ||||
\(593\) | 1.30545e8 | − | 7.53701e7i | 0.626030 | − | 0.361439i | −0.153183 | − | 0.988198i | \(-0.548952\pi\) |
0.779213 | + | 0.626759i | \(0.215619\pi\) | |||||||
\(594\) | − | 6.04712e7i | − | 0.288529i | ||||||
\(595\) | 4.74413e7 | − | 2.25872e7i | 0.225220 | − | 0.107229i | ||||
\(596\) | 1.45193e8 | 0.685816 | ||||||||
\(597\) | 9.47493e7 | + | 1.64111e8i | 0.445300 | + | 0.771283i | ||||
\(598\) | 6.60433e7 | + | 3.81301e7i | 0.308834 | + | 0.178305i | ||||
\(599\) | 1.31513e8 | − | 2.27788e8i | 0.611912 | − | 1.05986i | −0.379005 | − | 0.925395i | \(-0.623734\pi\) |
0.990918 | − | 0.134469i | \(-0.0429329\pi\) | |||||||
\(600\) | 1.00140e6 | − | 578159.i | 0.00463612 | − | 0.00267666i | ||||
\(601\) | − | 1.39021e8i | − | 0.640409i | −0.947348 | − | 0.320204i | \(-0.896248\pi\) | ||
0.947348 | − | 0.320204i | \(-0.103752\pi\) | |||||||
\(602\) | −2.20038e8 | − | 1.51458e8i | −1.00858 | − | 0.694227i | ||||
\(603\) | −1.78007e7 | −0.0811867 | ||||||||
\(604\) | −4.12241e7 | − | 7.14022e7i | −0.187085 | − | 0.324042i | ||||
\(605\) | −1.52613e8 | − | 8.81109e7i | −0.689167 | − | 0.397891i | ||||
\(606\) | 4.79235e7 | − | 8.30060e7i | 0.215343 | − | 0.372985i | ||||
\(607\) | 2.70399e8 | − | 1.56115e8i | 1.20903 | − | 0.698036i | 0.246486 | − | 0.969146i | \(-0.420724\pi\) |
0.962548 | + | 0.271110i | \(0.0873907\pi\) | |||||||
\(608\) | − | 6.72972e7i | − | 0.299424i | ||||||
\(609\) | 2.02814e8 | + | 1.61063e7i | 0.897940 | + | 0.0713087i | ||||
\(610\) | −2.25624e7 | −0.0994021 | ||||||||
\(611\) | 1.21970e8 | + | 2.11259e8i | 0.534725 | + | 0.926170i | ||||
\(612\) | 1.76310e7 | + | 1.01793e7i | 0.0769170 | + | 0.0444081i | ||||
\(613\) | 1.21906e8 | − | 2.11147e8i | 0.529227 | − | 0.916649i | −0.470192 | − | 0.882564i | \(-0.655815\pi\) |
0.999419 | − | 0.0340844i | \(-0.0108515\pi\) | |||||||
\(614\) | 2.21453e8 | − | 1.27856e8i | 0.956700 | − | 0.552351i | ||||
\(615\) | 1.20878e8i | 0.519661i | ||||||||
\(616\) | −2.87371e6 | + | 3.61866e7i | −0.0122942 | + | 0.154812i | ||||
\(617\) | −3.32787e8 | −1.41681 | −0.708405 | − | 0.705807i | \(-0.750585\pi\) | ||||
−0.708405 | + | 0.705807i | \(0.750585\pi\) | |||||||
\(618\) | 4.34120e7 | + | 7.51919e7i | 0.183927 | + | 0.318570i | ||||
\(619\) | −2.10926e8 | − | 1.21778e8i | −0.889320 | − | 0.513449i | −0.0155997 | − | 0.999878i | \(-0.504966\pi\) |
−0.873720 | + | 0.486429i | \(0.838299\pi\) | |||||||
\(620\) | 1.88349e7 | − | 3.26231e7i | 0.0790295 | − | 0.136883i | ||||
\(621\) | 1.23895e8 | − | 7.15308e7i | 0.517343 | − | 0.298688i | ||||
\(622\) | 1.87331e8i | 0.778464i | ||||||||
\(623\) | −8.14880e7 | + | 1.18386e8i | −0.337000 | + | 0.489595i | ||||
\(624\) | 2.59974e7 | 0.106998 | ||||||||
\(625\) | 1.18590e8 | + | 2.05403e8i | 0.485743 | + | 0.841331i | ||||
\(626\) | 1.78105e8 | + | 1.02829e8i | 0.726028 | + | 0.419172i | ||||
\(627\) | 5.00422e7 | − | 8.66756e7i | 0.203018 | − | 0.351637i | ||||
\(628\) | −3.92287e7 | + | 2.26487e7i | −0.158389 | + | 0.0914459i | ||||
\(629\) | − | 1.04032e8i | − | 0.418039i | ||||||
\(630\) | 5.26232e7 | + | 1.10528e8i | 0.210453 | + | 0.442029i | ||||
\(631\) | −3.10369e8 | −1.23535 | −0.617676 | − | 0.786433i | \(-0.711926\pi\) | ||||
−0.617676 | + | 0.786433i | \(0.711926\pi\) | |||||||
\(632\) | 4.35699e7 | + | 7.54652e7i | 0.172598 | + | 0.298948i | ||||
\(633\) | 3.32308e7 | + | 1.91858e7i | 0.131018 | + | 0.0756432i | ||||
\(634\) | −6.02147e7 | + | 1.04295e8i | −0.236284 | + | 0.409257i | ||||
\(635\) | −9.45782e7 | + | 5.46048e7i | −0.369377 | + | 0.213260i | ||||
\(636\) | − | 9.59166e7i | − | 0.372840i | ||||||
\(637\) | −1.57352e8 | − | 1.27790e8i | −0.608771 | − | 0.494401i | ||||
\(638\) | −1.33134e8 | −0.512657 | ||||||||
\(639\) | 1.95739e7 | + | 3.39030e7i | 0.0750196 | + | 0.129938i | ||||
\(640\) | 1.97859e7 | + | 1.14234e7i | 0.0754772 | + | 0.0435768i | ||||
\(641\) | −2.39978e7 | + | 4.15653e7i | −0.0911164 | + | 0.157818i | −0.907981 | − | 0.419011i | \(-0.862377\pi\) |
0.816865 | + | 0.576829i | \(0.195710\pi\) | |||||||
\(642\) | −5.33314e7 | + | 3.07909e7i | −0.201548 | + | 0.116364i | ||||
\(643\) | 1.09004e8i | 0.410023i | 0.978760 | + | 0.205011i | \(0.0657232\pi\) | ||||
−0.978760 | + | 0.205011i | \(0.934277\pi\) | |||||||
\(644\) | −7.75394e7 | + | 3.69171e7i | −0.290312 | + | 0.138220i | ||||
\(645\) | −2.50033e8 | −0.931790 | ||||||||
\(646\) | 4.08409e7 | + | 7.07385e7i | 0.151495 | + | 0.262397i | ||||
\(647\) | −1.68753e8 | − | 9.74296e7i | −0.623073 | − | 0.359731i | 0.154992 | − | 0.987916i | \(-0.450465\pi\) |
−0.778064 | + | 0.628185i | \(0.783798\pi\) | |||||||
\(648\) | −9.38953e6 | + | 1.62631e7i | −0.0345079 | + | 0.0597695i | ||||
\(649\) | −4.63452e6 | + | 2.67574e6i | −0.0169539 | + | 0.00978837i | ||||
\(650\) | − | 4.22530e6i | − | 0.0153857i | ||||||
\(651\) | 3.97622e7 | + | 2.73693e7i | 0.144121 | + | 0.0992019i | ||||
\(652\) | 1.10523e8 | 0.398758 | ||||||||
\(653\) | −2.05641e7 | − | 3.56181e7i | −0.0738535 | − | 0.127918i | 0.826734 | − | 0.562594i | \(-0.190196\pi\) |
−0.900587 | + | 0.434676i | \(0.856863\pi\) | |||||||
\(654\) | −5.32897e6 | − | 3.07668e6i | −0.0190506 | − | 0.0109989i | ||||
\(655\) | −3.35770e7 | + | 5.81570e7i | −0.119486 | + | 0.206956i | ||||
\(656\) | 5.90237e7 | − | 3.40773e7i | 0.209081 | − | 0.120713i | ||||
\(657\) | 3.23931e8i | 1.14224i | ||||||||
\(658\) | −2.73847e8 | − | 2.17472e7i | −0.961237 | − | 0.0763354i | ||||
\(659\) | 4.47299e8 | 1.56294 | 0.781468 | − | 0.623945i | \(-0.214471\pi\) | ||||
0.781468 | + | 0.623945i | \(0.214471\pi\) | |||||||
\(660\) | 1.69888e7 | + | 2.94255e7i | 0.0590925 | + | 0.102351i | ||||
\(661\) | −4.20493e8 | − | 2.42772e8i | −1.45598 | − | 0.840608i | −0.457166 | − | 0.889381i | \(-0.651135\pi\) |
−0.998810 | + | 0.0487734i | \(0.984469\pi\) | |||||||
\(662\) | 3.82224e7 | − | 6.62031e7i | 0.131748 | − | 0.228194i | ||||
\(663\) | −2.73268e7 | + | 1.57771e7i | −0.0937665 | + | 0.0541361i | ||||
\(664\) | − | 1.40174e8i | − | 0.478810i | ||||||
\(665\) | −3.88819e7 | + | 4.89611e8i | −0.132215 | + | 1.66489i | ||||
\(666\) | 2.42373e8 | 0.820467 | ||||||||
\(667\) | −1.57483e8 | − | 2.72768e8i | −0.530708 | − | 0.919214i | ||||
\(668\) | 4.71505e7 | + | 2.72224e7i | 0.158182 | + | 0.0913264i | ||||
\(669\) | −2.09615e7 | + | 3.63064e7i | −0.0700074 | + | 0.121256i | ||||
\(670\) | 2.09978e7 | − | 1.21231e7i | 0.0698152 | − | 0.0403078i | ||||
\(671\) | 1.89192e7i | 0.0626233i | ||||||||
\(672\) | −1.65995e7 | + | 2.41158e7i | −0.0546998 | + | 0.0794682i | ||||
\(673\) | −2.07406e7 | −0.0680418 | −0.0340209 | − | 0.999421i | \(-0.510831\pi\) | ||||
−0.0340209 | + | 0.999421i | \(0.510831\pi\) | |||||||
\(674\) | 6.10923e7 | + | 1.05815e8i | 0.199529 | + | 0.345595i | ||||
\(675\) | −6.86457e6 | − | 3.96326e6i | −0.0223204 | − | 0.0128867i | ||||
\(676\) | −2.97305e7 | + | 5.14948e7i | −0.0962416 | + | 0.166695i | ||||
\(677\) | 4.25988e8 | − | 2.45944e8i | 1.37288 | − | 0.792630i | 0.381586 | − | 0.924333i | \(-0.375378\pi\) |
0.991289 | + | 0.131703i | \(0.0420446\pi\) | |||||||
\(678\) | − | 6.90581e7i | − | 0.221577i | ||||||
\(679\) | −1.86213e8 | − | 3.91115e8i | −0.594840 | − | 1.24938i | ||||
\(680\) | −2.77302e7 | −0.0881914 | ||||||||
\(681\) | 7.60044e7 | + | 1.31643e8i | 0.240656 | + | 0.416829i | ||||
\(682\) | −2.73554e7 | − | 1.57937e7i | −0.0862364 | − | 0.0497886i | ||||
\(683\) | −3.67239e7 | + | 6.36076e7i | −0.115262 | + | 0.199640i | −0.917884 | − | 0.396848i | \(-0.870104\pi\) |
0.802622 | + | 0.596487i | \(0.203437\pi\) | |||||||
\(684\) | −1.64805e8 | + | 9.51504e7i | −0.514995 | + | 0.297332i | ||||
\(685\) | − | 3.71621e8i | − | 1.15619i | ||||||
\(686\) | 2.19011e8 | − | 6.43687e7i | 0.678413 | − | 0.199389i | ||||
\(687\) | 3.96859e7 | 0.122396 | ||||||||
\(688\) | 7.04883e7 | + | 1.22089e8i | 0.216447 | + | 0.374897i | ||||
\(689\) | −3.03532e8 | − | 1.75244e8i | −0.927996 | − | 0.535779i | ||||
\(690\) | −4.01919e7 | + | 6.96144e7i | −0.122346 | + | 0.211910i | ||||
\(691\) | −2.33029e8 | + | 1.34539e8i | −0.706278 | + | 0.407770i | −0.809681 | − | 0.586870i | \(-0.800360\pi\) |
0.103404 | + | 0.994639i | \(0.467027\pi\) | |||||||
\(692\) | 2.02157e8i | 0.610058i | ||||||||
\(693\) | 9.26810e7 | − | 4.41261e7i | 0.278478 | − | 0.132585i | ||||
\(694\) | −3.91447e7 | −0.117110 | ||||||||
\(695\) | −3.79823e7 | − | 6.57872e7i | −0.113143 | − | 0.195969i | ||||
\(696\) | −9.29877e7 | − | 5.36865e7i | −0.275802 | − | 0.159235i | ||||
\(697\) | −4.13613e7 | + | 7.16398e7i | −0.122151 | + | 0.211571i | ||||
\(698\) | 2.74329e8 | − | 1.58384e8i | 0.806687 | − | 0.465741i | ||||
\(699\) | − | 5.72279e7i | − | 0.167562i | ||||||
\(700\) | 3.91949e6 | + | 2.69787e6i | 0.0114271 | + | 0.00786552i | ||||
\(701\) | 5.35900e8 | 1.55571 | 0.777857 | − | 0.628441i | \(-0.216307\pi\) | ||||
0.777857 | + | 0.628441i | \(0.216307\pi\) | |||||||
\(702\) | −8.91054e7 | − | 1.54335e8i | −0.257569 | − | 0.446122i | ||||
\(703\) | 8.42158e8 | + | 4.86220e8i | 2.42397 | + | 1.39948i | ||||
\(704\) | 9.57886e6 | − | 1.65911e7i | 0.0274534 | − | 0.0475507i | ||||
\(705\) | −2.22682e8 | + | 1.28565e8i | −0.635503 | + | 0.366908i | ||||
\(706\) | − | 4.35779e8i | − | 1.23837i | ||||||
\(707\) | 3.93172e8 | + | 3.12233e7i | 1.11256 | + | 0.0883528i | ||||
\(708\) | −4.31599e6 | −0.0121613 | ||||||||
\(709\) | 8.56791e7 | + | 1.48400e8i | 0.240401 | + | 0.416386i | 0.960829 | − | 0.277144i | \(-0.0893878\pi\) |
−0.720428 | + | 0.693530i | \(0.756054\pi\) | |||||||
\(710\) | −4.61790e7 | − | 2.66615e7i | −0.129024 | − | 0.0744919i | ||||
\(711\) | 1.23205e8 | − | 2.13398e8i | 0.342784 | − | 0.593719i | ||||
\(712\) | 6.56872e7 | − | 3.79245e7i | 0.181987 | − | 0.105070i | ||||
\(713\) | − | 7.47288e7i | − | 0.206167i | ||||||
\(714\) | 2.81305e6 | − | 3.54227e7i | 0.00772828 | − | 0.0973167i | ||||
\(715\) | 1.24158e8 | 0.339669 | ||||||||
\(716\) | −6.23697e7 | − | 1.08027e8i | −0.169916 | − | 0.294303i | ||||
\(717\) | 9797.63 | + | 5656.67i | 2.65805e−5 | + | 1.53463e-5i | ||||
\(718\) | −1.26071e8 | + | 2.18362e8i | −0.340598 | + | 0.589933i | ||||
\(719\) | 1.34498e8 | − | 7.76524e7i | 0.361850 | − | 0.208914i | −0.308042 | − | 0.951373i | \(-0.599674\pi\) |
0.669892 | + | 0.742458i | \(0.266340\pi\) | |||||||
\(720\) | − | 6.46053e7i | − | 0.173090i | ||||||
\(721\) | −2.02574e8 | + | 2.94301e8i | −0.540479 | + | 0.785210i | ||||
\(722\) | −4.97387e8 | −1.32155 | ||||||||
\(723\) | 5.33574e7 | + | 9.24178e7i | 0.141182 | + | 0.244535i | ||||
\(724\) | 3.59287e7 | + | 2.07435e7i | 0.0946730 | + | 0.0546595i | ||||
\(725\) | −8.72555e6 | + | 1.51131e7i | −0.0228970 | + | 0.0396588i | ||||
\(726\) | −1.03208e8 | + | 5.95874e7i | −0.269715 | + | 0.155720i | ||||
\(727\) | 2.49335e8i | 0.648902i | 0.945902 | + | 0.324451i | \(0.105180\pi\) | ||||
−0.945902 | + | 0.324451i | \(0.894820\pi\) | |||||||
\(728\) | 4.59873e7 | + | 9.65902e7i | 0.119191 | + | 0.250345i | ||||
\(729\) | −1.43304e8 | −0.369894 | ||||||||
\(730\) | −2.20612e8 | − | 3.82112e8i | −0.567102 | − | 0.982250i | ||||
\(731\) | −1.48186e8 | − | 8.55550e7i | −0.379362 | − | 0.219025i | ||||
\(732\) | −7.62921e6 | + | 1.32142e7i | −0.0194512 | + | 0.0336905i | ||||
\(733\) | −2.32809e8 | + | 1.34412e8i | −0.591136 | + | 0.341293i | −0.765547 | − | 0.643380i | \(-0.777531\pi\) |
0.174410 | + | 0.984673i | \(0.444198\pi\) | |||||||
\(734\) | 3.35474e8i | 0.848340i | ||||||||
\(735\) | 1.34700e8 | − | 1.65860e8i | 0.339239 | − | 0.417715i | ||||
\(736\) | 4.53230e7 | 0.113680 | ||||||||
\(737\) | −1.01656e7 | − | 1.76073e7i | −0.0253939 | − | 0.0439836i | ||||
\(738\) | −1.66905e8 | − | 9.63627e7i | −0.415241 | − | 0.239740i | ||||
\(739\) | −8.13582e7 | + | 1.40917e8i | −0.201590 | + | 0.349163i | −0.949041 | − | 0.315153i | \(-0.897944\pi\) |
0.747451 | + | 0.664317i | \(0.231277\pi\) | |||||||
\(740\) | −2.85905e8 | + | 1.65067e8i | −0.705547 | + | 0.407348i | ||||
\(741\) | − | 2.94952e8i | − | 0.724932i | ||||||
\(742\) | 3.56367e8 | − | 1.69669e8i | 0.872340 | − | 0.415328i | ||||
\(743\) | 1.49147e8 | 0.363621 | 0.181810 | − | 0.983334i | \(-0.441804\pi\) | ||||
0.181810 | + | 0.983334i | \(0.441804\pi\) | |||||||
\(744\) | −1.27376e7 | − | 2.20623e7i | −0.0309293 | − | 0.0535712i | ||||
\(745\) | 4.84314e8 | + | 2.79619e8i | 1.17127 | + | 0.676235i | ||||
\(746\) | 6.14550e7 | − | 1.06443e8i | 0.148027 | − | 0.256390i | ||||
\(747\) | −3.43275e8 | + | 1.98190e8i | −0.823531 | + | 0.475466i | ||||
\(748\) | 2.32526e7i | 0.0555606i | ||||||||
\(749\) | −2.08739e8 | − | 1.43680e8i | −0.496773 | − | 0.341941i | ||||
\(750\) | 1.64980e8 | 0.391063 | ||||||||
\(751\) | −3.48848e8 | − | 6.04223e8i | −0.823601 | − | 1.42652i | −0.902984 | − | 0.429675i | \(-0.858628\pi\) |
0.0793828 | − | 0.996844i | \(-0.474705\pi\) | |||||||
\(752\) | 1.25555e8 | + | 7.24893e7i | 0.295244 | + | 0.170459i | ||||
\(753\) | −1.56439e8 | + | 2.70961e8i | −0.366405 | + | 0.634632i | ||||
\(754\) | −3.39786e8 | + | 1.96175e8i | −0.792668 | + | 0.457647i | ||||
\(755\) | − | 3.17564e8i | − | 0.737888i | ||||||
\(756\) | 2.00059e8 | + | 1.58875e7i | 0.463013 | + | 0.0367696i | ||||
\(757\) | −2.80318e8 | −0.646195 | −0.323098 | − | 0.946366i | \(-0.604724\pi\) | ||||
−0.323098 | + | 0.946366i | \(0.604724\pi\) | |||||||
\(758\) | 1.44461e8 | + | 2.50213e8i | 0.331697 | + | 0.574516i | ||||
\(759\) | 5.83738e7 | + | 3.37021e7i | 0.133503 | + | 0.0770783i | ||||
\(760\) | 1.29604e8 | − | 2.24480e8i | 0.295241 | − | 0.511372i | ||||
\(761\) | −4.19441e8 | + | 2.42165e8i | −0.951737 | + | 0.549486i | −0.893620 | − | 0.448824i | \(-0.851843\pi\) |
−0.0581172 | + | 0.998310i | \(0.518510\pi\) | |||||||
\(762\) | 7.38559e7i | 0.166925i | ||||||||
\(763\) | 2.00453e6 | − | 2.52416e7i | 0.00451272 | − | 0.0568254i | ||||
\(764\) | −3.22913e8 | −0.724111 | ||||||||
\(765\) | 3.92072e7 | + | 6.79089e7i | 0.0875754 | + | 0.151685i | ||||
\(766\) | −1.49069e8 | − | 8.60653e7i | −0.331667 | − | 0.191488i | ||||
\(767\) | −7.88551e6 | + | 1.36581e7i | −0.0174761 | + | 0.0302694i | ||||
\(768\) | 1.33808e7 | − | 7.72538e6i | 0.0295391 | − | 0.0170544i | ||||
\(769\) | 5.15227e8i | 1.13297i | 0.824071 | + | 0.566486i | \(0.191698\pi\) | ||||
−0.824071 | + | 0.566486i | \(0.808302\pi\) | |||||||
\(770\) | −7.92753e7 | + | 1.15172e8i | −0.173646 | + | 0.252274i | ||||
\(771\) | 4.01433e8 | 0.875891 | ||||||||
\(772\) | −1.63160e6 | − | 2.82602e6i | −0.00354620 | − | 0.00614219i | ||||
\(773\) | −2.90012e8 | − | 1.67439e8i | −0.627882 | − | 0.362508i | 0.152050 | − | 0.988373i | \(-0.451413\pi\) |
−0.779931 | + | 0.625865i | \(0.784746\pi\) | |||||||
\(774\) | 1.99324e8 | − | 3.45240e8i | 0.429870 | − | 0.744557i | ||||
\(775\) | −3.58573e6 | + | 2.07022e6i | −0.00770322 | + | 0.00444746i | ||||
\(776\) | 2.28613e8i | 0.489233i | ||||||||
\(777\) | −1.81855e8 | − | 3.81961e8i | −0.387669 | − | 0.814247i | ||||
\(778\) | 6.12367e8 | 1.30039 | ||||||||
\(779\) | −3.86623e8 | − | 6.69651e8i | −0.817854 | − | 1.41656i | ||||
\(780\) | 8.67182e7 | + | 5.00668e7i | 0.182737 | + | 0.105503i | ||||
\(781\) | −2.23565e7 | + | 3.87225e7i | −0.0469299 | + | 0.0812850i | ||||
\(782\) | −4.76406e7 | + | 2.75053e7i | −0.0996224 | + | 0.0575170i | ||||
\(783\) | 7.36037e8i | 1.53326i | ||||||||
\(784\) | −1.18963e8 | − | 1.90144e7i | −0.246866 | − | 0.0394580i | ||||
\(785\) | −1.74471e8 | −0.360674 | ||||||||
\(786\) | 2.27073e7 | + | 3.93303e7i | 0.0467626 | + | 0.0809952i | ||||
\(787\) | 8.27918e8 | + | 4.77998e8i | 1.69849 | + | 0.980624i | 0.947196 | + | 0.320656i | \(0.103903\pi\) |
0.751294 | + | 0.659968i | \(0.229430\pi\) | |||||||
\(788\) | 2.17229e7 | − | 3.76252e7i | 0.0443956 | − | 0.0768954i | ||||
\(789\) | 2.54951e8 | − | 1.47196e8i | 0.519069 | − | 0.299685i | ||||
\(790\) | 3.35634e8i | 0.680746i | ||||||||
\(791\) | 2.56577e8 | − | 1.22158e8i | 0.518428 | − | 0.246828i | ||||
\(792\) | −5.41735e7 | −0.109046 | ||||||||
\(793\) | 2.78778e7 | + | 4.82858e7i | 0.0559036 | + | 0.0968278i | ||||
\(794\) | 1.78457e8 | + | 1.03032e8i | 0.356511 | + | 0.205832i | ||||
\(795\) | 1.84720e8 | − | 3.19944e8i | 0.367631 | − | 0.636756i | ||||
\(796\) | 3.56399e8 | − | 2.05767e8i | 0.706639 | − | 0.407978i | ||||
\(797\) | 1.22214e7i | 0.0241404i | 0.999927 | + | 0.0120702i | \(0.00384216\pi\) | ||||
−0.999927 | + | 0.0120702i | \(0.996158\pi\) | |||||||
\(798\) | 2.73605e8 | + | 1.88329e8i | 0.538412 | + | 0.370602i | ||||
\(799\) | −1.75967e8 | −0.344978 | ||||||||
\(800\) | −1.25559e6 | − | 2.17474e6i | −0.00245232 | − | 0.00424755i | ||||
\(801\) | −1.85748e8 | − | 1.07242e8i | −0.361432 | − | 0.208673i | ||||
\(802\) | −2.00728e7 | + | 3.47671e7i | −0.0389121 | + | 0.0673978i | ||||
\(803\) | −3.20412e8 | + | 1.84990e8i | −0.618818 | + | 0.357274i | ||||
\(804\) | − | 1.63972e7i | − | 0.0315501i | ||||||
\(805\) | −3.29741e8 | − | 2.61859e7i | −0.632099 | − | 0.0501973i | ||||
\(806\) | −9.30891e7 | −0.177784 | ||||||||
\(807\) | −9.37991e7 | − | 1.62465e8i | −0.178475 | − | 0.309128i | ||||
\(808\) | −1.80264e8 | − | 1.04076e8i | −0.341724 | − | 0.197294i | ||||
\(809\) | 1.04438e7 | − | 1.80893e7i | 0.0197249 | − | 0.0341645i | −0.855994 | − | 0.516985i | \(-0.827054\pi\) |
0.875719 | + | 0.482820i | \(0.160388\pi\) | |||||||
\(810\) | −6.26404e7 | + | 3.61655e7i | −0.117869 | + | 0.0680517i | ||||
\(811\) | − | 9.93784e8i | − | 1.86307i | −0.363650 | − | 0.931536i | \(-0.618470\pi\) | ||
0.363650 | − | 0.931536i | \(-0.381530\pi\) | |||||||
\(812\) | 3.49780e7 | − | 4.40452e8i | 0.0653321 | − | 0.822680i | ||||
\(813\) | −1.82044e8 | −0.338770 | ||||||||
\(814\) | 1.38414e8 | + | 2.39740e8i | 0.256629 | + | 0.444495i | ||||
\(815\) | 3.68666e8 | + | 2.12849e8i | 0.681020 | + | 0.393187i | ||||
\(816\) | −9.37665e6 | + | 1.62408e7i | −0.0172575 | + | 0.0298908i | ||||
\(817\) | 1.38516e9 | − | 7.99723e8i | 2.54000 | − | 1.46647i | ||||
\(818\) | 5.66944e8i | 1.03581i | ||||||||
\(819\) | 1.71521e8 | − | 2.49186e8i | 0.312223 | − | 0.453599i | ||||
\(820\) | 2.62510e8 | 0.476107 | ||||||||
\(821\) | −2.09416e8 | − | 3.62720e8i | −0.378426 | − | 0.655453i | 0.612407 | − | 0.790542i | \(-0.290201\pi\) |
−0.990833 | + | 0.135089i | \(0.956868\pi\) | |||||||
\(822\) | −2.17648e8 | − | 1.25659e8i | −0.391868 | − | 0.226245i | ||||
\(823\) | −4.60456e8 | + | 7.97534e8i | −0.826017 | + | 1.43070i | 0.0751227 | + | 0.997174i | \(0.476065\pi\) |
−0.901140 | + | 0.433529i | \(0.857268\pi\) | |||||||
\(824\) | 1.63294e8 | − | 9.42780e7i | 0.291870 | − | 0.168511i | ||||
\(825\) | − | 3.73462e6i | − | 0.00665097i | ||||||
\(826\) | −7.63465e6 | − | 1.60356e7i | −0.0135472 | − | 0.0284540i | ||||
\(827\) | −5.88771e8 | −1.04095 | −0.520475 | − | 0.853877i | \(-0.674245\pi\) | ||||
−0.520475 | + | 0.853877i | \(0.674245\pi\) | |||||||
\(828\) | −6.40813e7 | − | 1.10992e8i | −0.112886 | − | 0.195525i | ||||
\(829\) | 7.07004e8 | + | 4.08189e8i | 1.24096 | + | 0.716469i | 0.969290 | − | 0.245921i | \(-0.0790905\pi\) |
0.271671 | + | 0.962390i | \(0.412424\pi\) | |||||||
\(830\) | 2.69953e8 | − | 4.67572e8i | 0.472121 | − | 0.817738i | ||||
\(831\) | −2.82679e8 | + | 1.63205e8i | −0.492596 | + | 0.284400i | ||||
\(832\) | − | 5.64585e7i | − | 0.0980301i | ||||||
\(833\) | 1.36585e8 | − | 5.22085e7i | 0.236303 | − | 0.0903246i | ||||
\(834\) | −5.13731e7 | −0.0885600 | ||||||||
\(835\) | 1.04852e8 | + | 1.81609e8i | 0.180101 | + | 0.311944i | ||||
\(836\) | −1.88233e8 | − | 1.08677e8i | −0.322165 | − | 0.186002i | ||||
\(837\) | −8.73160e7 | + | 1.51236e8i | −0.148908 | + | 0.257916i | ||||
\(838\) | −5.82712e8 | + | 3.36429e8i | −0.990197 | + | 0.571691i | ||||
\(839\) | − | 2.04755e8i | − | 0.346697i | −0.984861 | − | 0.173348i | \(-0.944541\pi\) | ||
0.984861 | − | 0.173348i | \(-0.0554586\pi\) | |||||||
\(840\) | −1.01813e8 | + | 4.84740e7i | −0.171777 | + | 0.0817845i | ||||
\(841\) | 1.02564e9 | 1.72428 | ||||||||
\(842\) | 1.20512e8 | + | 2.08733e8i | 0.201880 | + | 0.349667i | ||||
\(843\) | −3.04648e8 | − | 1.75889e8i | −0.508529 | − | 0.293600i | ||||
\(844\) | 4.16659e7 | − | 7.21675e7i | 0.0693032 | − | 0.120037i | ||||
\(845\) | −1.98342e8 | + | 1.14513e8i | −0.328733 | + | 0.189794i | ||||
\(846\) | − | 4.09966e8i | − | 0.677074i | ||||||
\(847\) | −4.03958e8 | − | 2.78054e8i | −0.664792 | − | 0.457592i | ||||
\(848\) | −2.08302e8 | −0.341591 | ||||||||
\(849\) | 6.16294e7 | + | 1.06745e8i | 0.100708 | + | 0.174432i | ||||
\(850\) | 2.63959e6 | + | 1.52397e6i | 0.00429813 | + | 0.00248153i | ||||
\(851\) | −3.27457e8 | + | 5.67172e8i | −0.531331 | + | 0.920293i | ||||
\(852\) | −3.12298e7 | + | 1.80306e7i | −0.0504953 | + | 0.0291535i | ||||
\(853\) | 1.61333e8i | 0.259942i | 0.991518 | + | 0.129971i | \(0.0414884\pi\) | ||||
−0.991518 | + | 0.129971i | \(0.958512\pi\) | |||||||
\(854\) | −6.25913e7 | − | 4.97061e6i | −0.100494 | − | 0.00798060i | ||||
\(855\) | −7.32977e8 | −1.17271 | ||||||||
\(856\) | 6.68686e7 | + | 1.15820e8i | 0.106611 | + | 0.184655i | ||||
\(857\) | −7.34234e8 | − | 4.23910e8i | −1.16652 | − | 0.673490i | −0.213661 | − | 0.976908i | \(-0.568539\pi\) |
−0.952858 | + | 0.303418i | \(0.901872\pi\) | |||||||
\(858\) | 4.19825e7 | − | 7.27158e7i | 0.0664671 | − | 0.115124i | ||||
\(859\) | −3.89328e8 | + | 2.24778e8i | −0.614237 | + | 0.354630i | −0.774622 | − | 0.632425i | \(-0.782060\pi\) |
0.160385 | + | 0.987055i | \(0.448726\pi\) | |||||||
\(860\) | 5.42997e8i | 0.853693i | ||||||||
\(861\) | −2.66299e7 | + | 3.35332e8i | −0.0417216 | + | 0.525370i | ||||
\(862\) | −1.80419e8 | −0.281683 | ||||||||
\(863\) | 5.39411e8 | + | 9.34288e8i | 0.839243 | + | 1.45361i | 0.890528 | + | 0.454928i | \(0.150335\pi\) |
−0.0512854 | + | 0.998684i | \(0.516332\pi\) | |||||||
\(864\) | −9.17245e7 | − | 5.29572e7i | −0.142215 | − | 0.0821076i | ||||
\(865\) | −3.89323e8 | + | 6.74327e8i | −0.601536 | + | 1.04189i | ||||
\(866\) | −2.12845e8 | + | 1.22886e8i | −0.327724 | + | 0.189212i | ||||
\(867\) | 3.32905e8i | 0.510814i | ||||||||
\(868\) | 5.94379e7 | − | 8.63517e7i | 0.0908875 | − | 0.132042i | ||||
\(869\) | 2.81440e8 | 0.428870 | ||||||||
\(870\) | −2.06783e8 | − | 3.58159e8i | −0.314020 | − | 0.543899i | ||||
\(871\) | −5.18894e7 | − | 2.99584e7i | −0.0785280 | − | 0.0453381i | ||||
\(872\) | −6.68163e6 | + | 1.15729e7i | −0.0100770 | + | 0.0174539i | ||||
\(873\) | 5.59854e8 | − | 3.23232e8i | 0.841457 | − | 0.485815i | ||||
\(874\) | − | 5.14210e8i | − | 0.770205i | ||||||
\(875\) | 2.91836e8 | + | 6.12963e8i | 0.435627 | + | 0.914977i | ||||
\(876\) | −2.98390e8 | −0.443887 | ||||||||
\(877\) | 3.05654e8 | + | 5.29409e8i | 0.453139 | + | 0.784860i | 0.998579 | − | 0.0532899i | \(-0.0169707\pi\) |
−0.545440 | + | 0.838150i | \(0.683637\pi\) | |||||||
\(878\) | −5.47880e8 | − | 3.16319e8i | −0.809473 | − | 0.467349i | ||||
\(879\) | 1.01630e8 | − | 1.76028e8i | 0.149642 | − | 0.259188i | ||||
\(880\) | 6.39035e7 | − | 3.68947e7i | 0.0937727 | − | 0.0541397i | ||||
\(881\) | − | 9.76241e8i | − | 1.42768i | −0.700311 | − | 0.713838i | \(-0.746955\pi\) | ||
0.700311 | − | 0.713838i | \(-0.253045\pi\) | |||||||
\(882\) | 1.21634e8 | + | 3.18213e8i | 0.177276 | + | 0.463781i | ||||
\(883\) | −2.98921e8 | −0.434185 | −0.217092 | − | 0.976151i | \(-0.569657\pi\) | ||||
−0.217092 | + | 0.976151i | \(0.569657\pi\) | |||||||
\(884\) | 3.42632e7 | + | 5.93455e7i | 0.0495987 | + | 0.0859076i | ||||
\(885\) | −1.43966e7 | − | 8.31190e6i | −0.0207697 | − | 0.0119914i | ||||
\(886\) | −1.17397e8 | + | 2.03337e8i | −0.168793 | + | 0.292358i | ||||
\(887\) | 4.19997e8 | − | 2.42485e8i | 0.601832 | − | 0.347468i | −0.167930 | − | 0.985799i | \(-0.553708\pi\) |
0.769762 | + | 0.638331i | \(0.220375\pi\) | |||||||
\(888\) | 2.23262e8i | 0.318843i | ||||||||
\(889\) | −2.74403e8 | + | 1.30645e8i | −0.390556 | + | 0.185947i | ||||
\(890\) | 2.92146e8 | 0.414410 | ||||||||
\(891\) | 3.03258e7 | + | 5.25259e7i | 0.0428726 | + | 0.0742575i | ||||
\(892\) | 7.88466e7 | + | 4.55221e7i | 0.111093 | + | 0.0641399i | ||||
\(893\) | 8.22425e8 | − | 1.42448e9i | 1.15489 | − | 2.00034i | ||||
\(894\) | 3.27531e8 | − | 1.89100e8i | 0.458395 | − | 0.264654i | ||||
\(895\) | − | 4.80456e8i | − | 0.670169i | ||||||
\(896\) | 5.23723e7 | + | 3.60491e7i | 0.0728077 | + | 0.0501152i | ||||
\(897\) | 1.98643e8 | 0.275230 | ||||||||
\(898\) | −1.60739e8 | − | 2.78408e8i | −0.221969 | − | 0.384462i | ||||
\(899\) | 3.32962e8 | + | 1.92236e8i | 0.458264 | + | 0.264579i | ||||
\(900\) | −3.55051e6 | + | 6.14966e6i | −0.00487038 | + | 0.00843575i | ||||
\(901\) | 2.18954e8 | − | 1.26413e8i | 0.299349 | − | 0.172829i | ||||
\(902\) | − | 2.20123e8i | − | 0.299947i | ||||||
\(903\) | −6.93627e8 | − | 5.50835e7i | −0.942026 | − | 0.0748098i | ||||
\(904\) | −1.49973e8 | −0.203006 | ||||||||
\(905\) | 7.98971e7 | + | 1.38386e8i | 0.107792 | + | 0.186701i | ||||
\(906\) | −1.85989e8 | − | 1.07381e8i | −0.250093 | − | 0.144391i | ||||
\(907\) | 3.22657e8 | − | 5.58858e8i | 0.432433 | − | 0.748996i | −0.564649 | − | 0.825331i | \(-0.690989\pi\) |
0.997082 | + | 0.0763351i | \(0.0243219\pi\) | |||||||
\(908\) | 2.85890e8 | − | 1.65059e8i | 0.381893 | − | 0.220486i | ||||
\(909\) | 5.88602e8i | 0.783665i | ||||||||
\(910\) | −3.26196e7 | + | 4.10756e8i | −0.0432868 | + | 0.545079i | ||||
\(911\) | 9.00820e8 | 1.19147 | 0.595735 | − | 0.803181i | \(-0.296861\pi\) | ||||
0.595735 | + | 0.803181i | \(0.296861\pi\) | |||||||
\(912\) | −8.76480e7 | − | 1.51811e8i | −0.115547 | − | 0.200133i | ||||
\(913\) | −3.92073e8 | − | 2.26364e8i | −0.515175 | − | 0.297437i | ||||
\(914\) | 6.52270e7 | − | 1.12977e8i | 0.0854258 | − | 0.147962i | ||||
\(915\) | −5.08968e7 | + | 2.93853e7i | −0.0664396 | + | 0.0383589i | ||||
\(916\) | − | 8.61858e7i | − | 0.112137i | ||||||
\(917\) | −1.05960e8 | + | 1.53939e8i | −0.137414 | + | 0.199636i | ||||
\(918\) | 1.28553e8 | 0.166171 | ||||||||
\(919\) | −1.12912e8 | − | 1.95569e8i | −0.145476 | − | 0.251972i | 0.784074 | − | 0.620667i | \(-0.213138\pi\) |
−0.929551 | + | 0.368695i | \(0.879805\pi\) | |||||||
\(920\) | 1.51182e8 | + | 8.72848e7i | 0.194149 | + | 0.112092i | ||||
\(921\) | 3.33039e8 | − | 5.76841e8i | 0.426301 | − | 0.738375i | ||||
\(922\) | 4.79907e8 | − | 2.77074e8i | 0.612300 | − | 0.353512i | ||||
\(923\) | 1.31771e8i | 0.167577i | ||||||||
\(924\) | 4.06469e7 | + | 8.53734e7i | 0.0515242 | + | 0.108220i | ||||
\(925\) | 3.62863e7 | 0.0458478 | ||||||||
\(926\) | 1.72212e8 | + | 2.98280e8i | 0.216885 | + | 0.375656i | ||||
\(927\) | −4.61758e8 | − | 2.66596e8i | −0.579662 | − | 0.334668i | ||||
\(928\) | −1.16591e8 | + | 2.01942e8i | −0.145889 | + | 0.252686i | ||||
\(929\) | −3.59609e8 | + | 2.07621e8i | −0.448522 | + | 0.258954i | −0.707206 | − | 0.707008i | \(-0.750045\pi\) |
0.258684 | + | 0.965962i | \(0.416711\pi\) | |||||||
\(930\) | − | 9.81227e7i | − | 0.121989i | ||||||
\(931\) | −2.15728e8 | + | 1.34969e9i | −0.267336 | + | 1.67257i | ||||
\(932\) | −1.24282e8 | −0.153518 | ||||||||
\(933\) | 2.43980e8 | + | 4.22586e8i | 0.300407 | + | 0.520320i | ||||
\(934\) | 6.83305e7 | + | 3.94506e7i | 0.0838637 | + | 0.0484187i | ||||
\(935\) | −4.47808e7 | + | 7.75627e7i | −0.0547844 | + | 0.0948894i | ||||
\(936\) | −1.38262e8 | + | 7.98257e7i | −0.168607 | + | 0.0973453i | ||||
\(937\) | − | 7.39751e8i | − | 0.899221i | −0.893225 | − | 0.449611i | \(-0.851563\pi\) | ||
0.893225 | − | 0.449611i | \(-0.148437\pi\) | |||||||
\(938\) | 6.09218e7 | − | 2.90053e7i | 0.0738183 | − | 0.0351454i | ||||
\(939\) | 5.35699e8 | 0.647029 | ||||||||
\(940\) | 2.79206e8 | + | 4.83599e8i | 0.336156 | + | 0.582239i | ||||
\(941\) | −3.00928e8 | − | 1.73741e8i | −0.361155 | − | 0.208513i | 0.308432 | − | 0.951246i | \(-0.400196\pi\) |
−0.669587 | + | 0.742733i | \(0.733529\pi\) | |||||||
\(942\) | −5.89954e7 | + | 1.02183e8i | −0.0705773 | + | 0.122244i | ||||
\(943\) | 4.50993e8 | − | 2.60381e8i | 0.537817 | − | 0.310509i | ||||
\(944\) | 9.37304e6i | 0.0111420i | ||||||||
\(945\) | 6.36731e8 | + | 4.38277e8i | 0.754503 | + | 0.519342i | ||||
\(946\) | 4.55319e8 | 0.537827 | ||||||||
\(947\) | −1.54081e8 | − | 2.66875e8i | −0.181425 | − | 0.314238i | 0.760941 | − | 0.648821i | \(-0.224738\pi\) |
−0.942366 | + | 0.334583i | \(0.891404\pi\) | |||||||
\(948\) | 1.96572e8 | + | 1.13491e8i | 0.230726 | + | 0.133210i | ||||
\(949\) | −5.45173e8 | + | 9.44267e8i | −0.637875 | + | 1.10483i | ||||
\(950\) | −2.46735e7 | + | 1.42452e7i | −0.0287779 | + | 0.0166150i | ||||
\(951\) | 3.13695e8i | 0.364726i | ||||||||
\(952\) | −7.69276e7 | − | 6.10910e6i | −0.0891602 | − | 0.00708055i | ||||
\(953\) | −7.95730e8 | −0.919363 | −0.459681 | − | 0.888084i | \(-0.652036\pi\) | ||||
−0.459681 | + | 0.888084i | \(0.652036\pi\) | |||||||
\(954\) | 2.94515e8 | + | 5.10114e8i | 0.339205 | + | 0.587520i | ||||
\(955\) | −1.07712e9 | − | 6.21878e8i | −1.23668 | − | 0.713995i | ||||
\(956\) | 12284.6 | − | 21277.5i | 1.40601e−5 | − | 2.43527e-5i | ||||
\(957\) | −3.00327e8 | + | 1.73394e8i | −0.342656 | + | 0.197833i | ||||
\(958\) | − | 8.91993e8i | − | 1.01453i | ||||||
\(959\) | 8.18700e7 | − | 1.03093e9i | 0.0928258 | − | 1.16889i | ||||
\(960\) | 5.95114e7 | 0.0672646 | ||||||||
\(961\) | −3.98142e8 | − | 6.89602e8i | −0.448609 | − | 0.777013i | ||||
\(962\) | 7.06522e8 | + | 4.07911e8i | 0.793598 | + | 0.458184i | ||||
\(963\) | 1.89089e8 | − | 3.27511e8i | 0.211732 | − | 0.366731i | ||||
\(964\) | 2.00704e8 | − | 1.15876e8i | 0.224039 | − | 0.129349i | ||||
\(965\) | − | 1.25688e7i | − | 0.0139866i | ||||||
\(966\) | −1.26834e8 | + | 1.84266e8i | −0.140704 | + | 0.204415i | ||||
\(967\) | −1.75844e9 | −1.94468 | −0.972341 | − | 0.233564i | \(-0.924961\pi\) | ||||
−0.972341 | + | 0.233564i | \(0.924961\pi\) | |||||||
\(968\) | 1.29406e8 | + | 2.24138e8i | 0.142669 | + | 0.247109i | ||||
\(969\) | 1.84260e8 | + | 1.06383e8i | 0.202516 | + | 0.116923i | ||||
\(970\) | −4.40272e8 | + | 7.62573e8i | −0.482398 | + | 0.835538i | ||||
\(971\) | −7.22413e8 | + | 4.17085e8i | −0.789092 | + | 0.455583i | −0.839643 | − | 0.543139i | \(-0.817236\pi\) |
0.0505508 | + | 0.998721i | \(0.483902\pi\) | |||||||
\(972\) | 4.75453e8i | 0.517737i | ||||||||
\(973\) | −9.08750e7 | − | 1.90871e8i | −0.0986520 | − | 0.207205i | ||||
\(974\) | −3.90721e8 | −0.422854 | ||||||||
\(975\) | −5.50303e6 | − | 9.53153e6i | −0.00593729 | − | 0.0102837i | ||||
\(976\) | 2.86973e7 | + | 1.65684e7i | 0.0308667 | + | 0.0178209i | ||||
\(977\) | −2.04042e8 | + | 3.53411e8i | −0.218794 | + | 0.378963i | −0.954440 | − | 0.298404i | \(-0.903546\pi\) |
0.735645 | + | 0.677367i | \(0.236879\pi\) | |||||||
\(978\) | 2.49320e8 | − | 1.43945e8i | 0.266527 | − | 0.153879i | ||||
\(979\) | − | 2.44973e8i | − | 0.261078i | ||||||
\(980\) | −3.60199e8 | − | 2.92528e8i | −0.382705 | − | 0.310806i | ||||
\(981\) | 3.77881e7 | 0.0400266 | ||||||||
\(982\) | −1.27704e8 | − | 2.21189e8i | −0.134855 | − | 0.233576i | ||||
\(983\) | 3.90839e7 | + | 2.25651e7i | 0.0411469 | + | 0.0237562i | 0.520432 | − | 0.853903i | \(-0.325771\pi\) |
−0.479285 | + | 0.877659i | \(0.659104\pi\) | |||||||
\(984\) | 8.87647e7 | − | 1.53745e8i | 0.0931655 | − | 0.161367i | ||||
\(985\) | 1.44920e8 | − | 8.36698e7i | 0.151642 | − | 0.0875508i | ||||
\(986\) | − | 2.83024e8i | − | 0.295252i | ||||||
\(987\) | −6.46075e8 | + | 3.07601e8i | −0.671942 | + | 0.319916i | ||||
\(988\) | −6.40548e8 | −0.664173 | ||||||||
\(989\) | 5.38593e8 | + | 9.32870e8i | 0.556765 | + | 0.964345i | ||||
\(990\) | −1.80704e8 | − | 1.04330e8i | −0.186235 | − | 0.107523i | ||||
\(991\) | 1.33166e8 | − | 2.30650e8i | 0.136827 | − | 0.236991i | −0.789467 | − | 0.613793i | \(-0.789643\pi\) |
0.926294 | + | 0.376802i | \(0.122976\pi\) | |||||||
\(992\) | −4.79126e7 | + | 2.76624e7i | −0.0490812 | + | 0.0283370i | ||||
\(993\) | − | 1.99123e8i | − | 0.203364i | ||||||
\(994\) | −1.22234e8 | − | 8.41362e7i | −0.124460 | − | 0.0856690i | ||||
\(995\) | 1.58510e9 | 1.60911 | ||||||||
\(996\) | −1.82563e8 | − | 3.16208e8i | −0.184771 | − | 0.320033i | ||||
\(997\) | 2.78483e8 | + | 1.60782e8i | 0.281005 | + | 0.162238i | 0.633878 | − | 0.773433i | \(-0.281462\pi\) |
−0.352873 | + | 0.935671i | \(0.614795\pi\) | |||||||
\(998\) | 1.44313e7 | − | 2.49957e7i | 0.0145182 | − | 0.0251463i | ||||
\(999\) | 1.32541e9 | − | 7.65227e8i | 1.32940 | − | 0.767527i |
(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 | 14.7.d.a.3.1 | ✓ | 8 | |
3.2 | odd | 2 | 126.7.n.c.73.4 | 8 | |||
4.3 | odd | 2 | 112.7.s.c.17.3 | 8 | |||
7.2 | even | 3 | 98.7.d.c.19.2 | 8 | |||
7.3 | odd | 6 | 98.7.b.c.97.6 | 8 | |||
7.4 | even | 3 | 98.7.b.c.97.7 | 8 | |||
7.5 | odd | 6 | inner | 14.7.d.a.5.1 | yes | 8 | |
7.6 | odd | 2 | 98.7.d.c.31.2 | 8 | |||
21.5 | even | 6 | 126.7.n.c.19.4 | 8 | |||
28.19 | even | 6 | 112.7.s.c.33.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.7.d.a.3.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.7.d.a.5.1 | yes | 8 | 7.5 | odd | 6 | inner | |
98.7.b.c.97.6 | 8 | 7.3 | odd | 6 | |||
98.7.b.c.97.7 | 8 | 7.4 | even | 3 | |||
98.7.d.c.19.2 | 8 | 7.2 | even | 3 | |||
98.7.d.c.31.2 | 8 | 7.6 | odd | 2 | |||
112.7.s.c.17.3 | 8 | 4.3 | odd | 2 | |||
112.7.s.c.33.3 | 8 | 28.19 | even | 6 | |||
126.7.n.c.19.4 | 8 | 21.5 | even | 6 | |||
126.7.n.c.73.4 | 8 | 3.2 | odd | 2 |