Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,6,Mod(55,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.55");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.c (of order \(3\), degree \(2\), not 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: | \(25.9821788097\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 55.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 162.55 |
Dual form | 162.6.c.d.109.1 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00000 | + | 3.46410i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −8.00000 | − | 13.8564i | −0.250000 | − | 0.433013i | ||||
\(5\) | −10.5000 | − | 18.1865i | −0.187830 | − | 0.325331i | 0.756697 | − | 0.653766i | \(-0.226812\pi\) |
−0.944526 | + | 0.328436i | \(0.893479\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −37.0000 | + | 64.0859i | −0.285402 | + | 0.494330i | −0.972707 | − | 0.232039i | \(-0.925460\pi\) |
0.687305 | + | 0.726369i | \(0.258794\pi\) | |||||||
\(8\) | 64.0000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 84.0000 | 0.265631 | ||||||||
\(11\) | −135.000 | + | 233.827i | −0.336397 | + | 0.582657i | −0.983752 | − | 0.179532i | \(-0.942542\pi\) |
0.647355 | + | 0.762188i | \(0.275875\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 57.5000 | + | 99.5929i | 0.0943647 | + | 0.163444i | 0.909343 | − | 0.416047i | \(-0.136585\pi\) |
−0.814979 | + | 0.579491i | \(0.803251\pi\) | |||||||
\(14\) | −148.000 | − | 256.344i | −0.201810 | − | 0.349544i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −128.000 | + | 221.703i | −0.125000 | + | 0.216506i | ||||
\(17\) | −861.000 | −0.722572 | −0.361286 | − | 0.932455i | \(-0.617662\pi\) | ||||
−0.361286 | + | 0.932455i | \(0.617662\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1850.00 | 1.17568 | 0.587838 | − | 0.808979i | \(-0.299979\pi\) | ||||
0.587838 | + | 0.808979i | \(0.299979\pi\) | |||||||
\(20\) | −168.000 | + | 290.985i | −0.0939149 | + | 0.162665i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −540.000 | − | 935.307i | −0.237869 | − | 0.412000i | ||||
\(23\) | −1809.00 | − | 3133.28i | −0.713048 | − | 1.23504i | −0.963707 | − | 0.266961i | \(-0.913981\pi\) |
0.250659 | − | 0.968075i | \(-0.419353\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1342.00 | − | 2324.41i | 0.429440 | − | 0.743812i | ||||
\(26\) | −460.000 | −0.133452 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1184.00 | 0.285402 | ||||||||
\(29\) | −562.500 | + | 974.279i | −0.124202 | + | 0.215124i | −0.921421 | − | 0.388567i | \(-0.872970\pi\) |
0.797219 | + | 0.603690i | \(0.206304\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2614.00 | − | 4527.58i | −0.488541 | − | 0.846178i | 0.511372 | − | 0.859360i | \(-0.329138\pi\) |
−0.999913 | + | 0.0131811i | \(0.995804\pi\) | |||||||
\(32\) | −512.000 | − | 886.810i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1722.00 | − | 2982.59i | 0.255468 | − | 0.442483i | ||||
\(35\) | 1554.00 | 0.214428 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9917.00 | 1.19090 | 0.595451 | − | 0.803392i | \(-0.296973\pi\) | ||||
0.595451 | + | 0.803392i | \(0.296973\pi\) | |||||||
\(38\) | −3700.00 | + | 6408.59i | −0.415664 | + | 0.719952i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −672.000 | − | 1163.94i | −0.0664078 | − | 0.115022i | ||||
\(41\) | −5379.00 | − | 9316.70i | −0.499737 | − | 0.865571i | 0.500262 | − | 0.865874i | \(-0.333237\pi\) |
−1.00000 | 0.000303132i | \(0.999904\pi\) | ||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9857.00 | − | 17072.8i | 0.812968 | − | 1.40810i | −0.0978093 | − | 0.995205i | \(-0.531184\pi\) |
0.910778 | − | 0.412897i | \(-0.135483\pi\) | |||||||
\(44\) | 4320.00 | 0.336397 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 14472.0 | 1.00840 | ||||||||
\(47\) | −4992.00 | + | 8646.40i | −0.329632 | + | 0.570940i | −0.982439 | − | 0.186585i | \(-0.940258\pi\) |
0.652806 | + | 0.757525i | \(0.273591\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5665.50 | + | 9812.93i | 0.337092 | + | 0.583860i | ||||
\(50\) | 5368.00 | + | 9297.65i | 0.303660 | + | 0.525954i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 920.000 | − | 1593.49i | 0.0471823 | − | 0.0817222i | ||||
\(53\) | 36726.0 | 1.79591 | 0.897954 | − | 0.440090i | \(-0.145053\pi\) | ||||
0.897954 | + | 0.440090i | \(0.145053\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5670.00 | 0.252741 | ||||||||
\(56\) | −2368.00 | + | 4101.50i | −0.100905 | + | 0.174772i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2250.00 | − | 3897.11i | −0.0878239 | − | 0.152115i | ||||
\(59\) | −13230.0 | − | 22915.0i | −0.494800 | − | 0.857019i | 0.505182 | − | 0.863013i | \(-0.331425\pi\) |
−0.999982 | + | 0.00599391i | \(0.998092\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 26889.5 | − | 46574.0i | 0.925248 | − | 1.60258i | 0.134086 | − | 0.990970i | \(-0.457190\pi\) |
0.791162 | − | 0.611607i | \(-0.209477\pi\) | |||||||
\(62\) | 20912.0 | 0.690902 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | 1207.50 | − | 2091.45i | 0.0354490 | − | 0.0613994i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6467.00 | + | 11201.2i | 0.176001 | + | 0.304843i | 0.940507 | − | 0.339773i | \(-0.110350\pi\) |
−0.764506 | + | 0.644617i | \(0.777017\pi\) | |||||||
\(68\) | 6888.00 | + | 11930.4i | 0.180643 | + | 0.312883i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3108.00 | + | 5383.21i | −0.0758116 | + | 0.131310i | ||||
\(71\) | −4254.00 | −0.100150 | −0.0500751 | − | 0.998745i | \(-0.515946\pi\) | ||||
−0.0500751 | + | 0.998745i | \(0.515946\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −17521.0 | −0.384815 | −0.192407 | − | 0.981315i | \(-0.561630\pi\) | ||||
−0.192407 | + | 0.981315i | \(0.561630\pi\) | |||||||
\(74\) | −19834.0 | + | 34353.5i | −0.421047 | + | 0.729276i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −14800.0 | − | 25634.4i | −0.293919 | − | 0.509083i | ||||
\(77\) | −9990.00 | − | 17303.2i | −0.192017 | − | 0.332582i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 18473.0 | − | 31996.2i | 0.333020 | − | 0.576807i | −0.650083 | − | 0.759863i | \(-0.725266\pi\) |
0.983102 | + | 0.183057i | \(0.0585992\pi\) | |||||||
\(80\) | 5376.00 | 0.0939149 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 43032.0 | 0.706735 | ||||||||
\(83\) | 38208.0 | − | 66178.2i | 0.608778 | − | 1.05443i | −0.382664 | − | 0.923888i | \(-0.624993\pi\) |
0.991442 | − | 0.130547i | \(-0.0416734\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9040.50 | + | 15658.6i | 0.135720 | + | 0.235075i | ||||
\(86\) | 39428.0 | + | 68291.3i | 0.574855 | + | 0.995679i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8640.00 | + | 14964.9i | −0.118934 | + | 0.206000i | ||||
\(89\) | −45357.0 | −0.606973 | −0.303486 | − | 0.952836i | \(-0.598151\pi\) | ||||
−0.303486 | + | 0.952836i | \(0.598151\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8510.00 | −0.107727 | ||||||||
\(92\) | −28944.0 | + | 50132.5i | −0.356524 | + | 0.617518i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −19968.0 | − | 34585.6i | −0.233085 | − | 0.403716i | ||||
\(95\) | −19425.0 | − | 33645.1i | −0.220827 | − | 0.382483i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −63787.0 | + | 110482.i | −0.688340 | + | 1.19224i | 0.284035 | + | 0.958814i | \(0.408327\pi\) |
−0.972375 | + | 0.233425i | \(0.925007\pi\) | |||||||
\(98\) | −45324.0 | −0.476720 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −42944.0 | −0.429440 | ||||||||
\(101\) | 39435.0 | − | 68303.4i | 0.384661 | − | 0.666253i | −0.607061 | − | 0.794655i | \(-0.707652\pi\) |
0.991722 | + | 0.128403i | \(0.0409849\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8744.00 | + | 15145.1i | 0.0812114 | + | 0.140662i | 0.903771 | − | 0.428017i | \(-0.140788\pi\) |
−0.822559 | + | 0.568680i | \(0.807454\pi\) | |||||||
\(104\) | 3680.00 | + | 6373.95i | 0.0333630 | + | 0.0577863i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −73452.0 | + | 127223.i | −0.634949 | + | 1.09976i | ||||
\(107\) | −134364. | −1.13455 | −0.567275 | − | 0.823529i | \(-0.692002\pi\) | ||||
−0.567275 | + | 0.823529i | \(0.692002\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −123487. | −0.995531 | −0.497766 | − | 0.867312i | \(-0.665846\pi\) | ||||
−0.497766 | + | 0.867312i | \(0.665846\pi\) | |||||||
\(110\) | −11340.0 | + | 19641.5i | −0.0893576 | + | 0.154772i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9472.00 | − | 16406.0i | −0.0713504 | − | 0.123583i | ||||
\(113\) | −87019.5 | − | 150722.i | −0.641092 | − | 1.11040i | −0.985189 | − | 0.171470i | \(-0.945148\pi\) |
0.344097 | − | 0.938934i | \(-0.388185\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −37989.0 | + | 65798.9i | −0.267863 | + | 0.463953i | ||||
\(116\) | 18000.0 | 0.124202 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 105840. | 0.699753 | ||||||||
\(119\) | 31857.0 | − | 55177.9i | 0.206223 | − | 0.357189i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 44075.5 | + | 76341.0i | 0.273674 | + | 0.474018i | ||||
\(122\) | 107558. | + | 186296.i | 0.654249 | + | 1.13319i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −41824.0 | + | 72441.3i | −0.244271 | + | 0.423089i | ||||
\(125\) | −121989. | −0.698306 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −312982. | −1.72191 | −0.860954 | − | 0.508682i | \(-0.830133\pi\) | ||||
−0.860954 | + | 0.508682i | \(0.830133\pi\) | |||||||
\(128\) | −8192.00 | + | 14189.0i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4830.00 | + | 8365.81i | 0.0250662 | + | 0.0434160i | ||||
\(131\) | 52905.0 | + | 91634.1i | 0.269351 | + | 0.466529i | 0.968694 | − | 0.248256i | \(-0.0798575\pi\) |
−0.699343 | + | 0.714786i | \(0.746524\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −68450.0 | + | 118559.i | −0.335540 | + | 0.581172i | ||||
\(134\) | −51736.0 | −0.248903 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −55104.0 | −0.255468 | ||||||||
\(137\) | 142240. | − | 246368.i | 0.647473 | − | 1.12146i | −0.336251 | − | 0.941772i | \(-0.609159\pi\) |
0.983724 | − | 0.179684i | \(-0.0575076\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 81164.0 | + | 140580.i | 0.356309 | + | 0.617145i | 0.987341 | − | 0.158612i | \(-0.0507018\pi\) |
−0.631032 | + | 0.775757i | \(0.717368\pi\) | |||||||
\(140\) | −12432.0 | − | 21532.9i | −0.0536069 | − | 0.0928499i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8508.00 | − | 14736.3i | 0.0354084 | − | 0.0613292i | ||||
\(143\) | −31050.0 | −0.126976 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 23625.0 | 0.0933151 | ||||||||
\(146\) | 35042.0 | − | 60694.5i | 0.136053 | − | 0.235650i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −79336.0 | − | 137414.i | −0.297725 | − | 0.515676i | ||||
\(149\) | 135356. | + | 234443.i | 0.499471 | + | 0.865109i | 1.00000 | 0.000610783i | \(-0.000194418\pi\) | |
−0.500529 | + | 0.865720i | \(0.666861\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8426.00 | − | 14594.3i | 0.0300732 | − | 0.0520882i | −0.850597 | − | 0.525818i | \(-0.823759\pi\) |
0.880670 | + | 0.473730i | \(0.157093\pi\) | |||||||
\(152\) | 118400. | 0.415664 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 79920.0 | 0.271552 | ||||||||
\(155\) | −54894.0 | + | 95079.2i | −0.183525 | + | 0.317875i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −123686. | − | 214231.i | −0.400473 | − | 0.693639i | 0.593310 | − | 0.804974i | \(-0.297821\pi\) |
−0.993783 | + | 0.111335i | \(0.964487\pi\) | |||||||
\(158\) | 73892.0 | + | 127985.i | 0.235480 | + | 0.407864i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −10752.0 | + | 18623.0i | −0.0332039 | + | 0.0575109i | ||||
\(161\) | 267732. | 0.814021 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −200116. | −0.589947 | −0.294973 | − | 0.955505i | \(-0.595311\pi\) | ||||
−0.294973 | + | 0.955505i | \(0.595311\pi\) | |||||||
\(164\) | −86064.0 | + | 149067.i | −0.249869 | + | 0.432785i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 152832. | + | 264713.i | 0.430471 | + | 0.745598i | ||||
\(167\) | −7059.00 | − | 12226.5i | −0.0195863 | − | 0.0339244i | 0.856066 | − | 0.516866i | \(-0.172902\pi\) |
−0.875652 | + | 0.482942i | \(0.839568\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 179034. | − | 310096.i | 0.482191 | − | 0.835179i | ||||
\(170\) | −72324.0 | −0.191938 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −315424. | −0.812968 | ||||||||
\(173\) | 24199.5 | − | 41914.8i | 0.0614740 | − | 0.106476i | −0.833651 | − | 0.552292i | \(-0.813753\pi\) |
0.895124 | + | 0.445816i | \(0.147087\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 99308.0 | + | 172007.i | 0.245126 | + | 0.424570i | ||||
\(176\) | −34560.0 | − | 59859.7i | −0.0840992 | − | 0.145664i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 90714.0 | − | 157121.i | 0.214597 | − | 0.371693i | ||||
\(179\) | 375396. | 0.875703 | 0.437852 | − | 0.899047i | \(-0.355739\pi\) | ||||
0.437852 | + | 0.899047i | \(0.355739\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 440702. | 0.999882 | 0.499941 | − | 0.866060i | \(-0.333355\pi\) | ||||
0.499941 | + | 0.866060i | \(0.333355\pi\) | |||||||
\(182\) | 17020.0 | − | 29479.5i | 0.0380874 | − | 0.0659693i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −115776. | − | 200530.i | −0.252101 | − | 0.436651i | ||||
\(185\) | −104128. | − | 180356.i | −0.223687 | − | 0.387437i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 116235. | − | 201325.i | 0.243071 | − | 0.421011i | ||||
\(188\) | 159744. | 0.329632 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 155400. | 0.312296 | ||||||||
\(191\) | −243489. | + | 421735.i | −0.482943 | + | 0.836482i | −0.999808 | − | 0.0195849i | \(-0.993766\pi\) |
0.516865 | + | 0.856067i | \(0.327099\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 52092.5 | + | 90226.9i | 0.100666 | + | 0.174358i | 0.911959 | − | 0.410281i | \(-0.134569\pi\) |
−0.811293 | + | 0.584639i | \(0.801236\pi\) | |||||||
\(194\) | −255148. | − | 441929.i | −0.486730 | − | 0.843041i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 90648.0 | − | 157007.i | 0.168546 | − | 0.291930i | ||||
\(197\) | 39369.0 | 0.0722751 | 0.0361376 | − | 0.999347i | \(-0.488495\pi\) | ||||
0.0361376 | + | 0.999347i | \(0.488495\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 952484. | 1.70500 | 0.852501 | − | 0.522725i | \(-0.175085\pi\) | ||||
0.852501 | + | 0.522725i | \(0.175085\pi\) | |||||||
\(200\) | 85888.0 | − | 148762.i | 0.151830 | − | 0.262977i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 157740. | + | 273214.i | 0.271997 | + | 0.471112i | ||||
\(203\) | −41625.0 | − | 72096.6i | −0.0708948 | − | 0.122793i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −112959. | + | 195651.i | −0.187731 | + | 0.325160i | ||||
\(206\) | −69952.0 | −0.114850 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −29440.0 | −0.0471823 | ||||||||
\(209\) | −249750. | + | 432580.i | −0.395494 | + | 0.685016i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −220555. | − | 382012.i | −0.341044 | − | 0.590706i | 0.643583 | − | 0.765377i | \(-0.277447\pi\) |
−0.984627 | + | 0.174671i | \(0.944114\pi\) | |||||||
\(212\) | −293808. | − | 508890.i | −0.448977 | − | 0.777651i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 268728. | − | 465451.i | 0.401124 | − | 0.694767i | ||||
\(215\) | −413994. | −0.610798 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 386872. | 0.557722 | ||||||||
\(218\) | 246974. | − | 427772.i | 0.351974 | − | 0.609636i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −45360.0 | − | 78565.8i | −0.0631853 | − | 0.109440i | ||||
\(221\) | −49507.5 | − | 85749.5i | −0.0681852 | − | 0.118100i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 412553. | − | 714563.i | 0.555543 | − | 0.962229i | −0.442318 | − | 0.896858i | \(-0.645844\pi\) |
0.997861 | − | 0.0653703i | \(-0.0208229\pi\) | |||||||
\(224\) | 75776.0 | 0.100905 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 696156. | 0.906641 | ||||||||
\(227\) | −577851. | + | 1.00087e6i | −0.744305 | + | 1.28917i | 0.206213 | + | 0.978507i | \(0.433886\pi\) |
−0.950519 | + | 0.310668i | \(0.899447\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −671678. | − | 1.16338e6i | −0.846394 | − | 1.46600i | −0.884405 | − | 0.466721i | \(-0.845435\pi\) |
0.0380105 | − | 0.999277i | \(-0.487898\pi\) | |||||||
\(230\) | −151956. | − | 263196.i | −0.189408 | − | 0.328064i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −36000.0 | + | 62353.8i | −0.0439119 | + | 0.0760577i | ||||
\(233\) | 1.07555e6 | 1.29790 | 0.648950 | − | 0.760831i | \(-0.275208\pi\) | ||||
0.648950 | + | 0.760831i | \(0.275208\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 209664. | 0.247659 | ||||||||
\(236\) | −211680. | + | 366641.i | −0.247400 | + | 0.428509i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 127428. | + | 220712.i | 0.145822 | + | 0.252571i | ||||
\(239\) | −18048.0 | − | 31260.1i | −0.0204378 | − | 0.0353993i | 0.855626 | − | 0.517595i | \(-0.173173\pi\) |
−0.876063 | + | 0.482196i | \(0.839839\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −36437.5 | + | 63111.6i | −0.0404116 | + | 0.0699949i | −0.885524 | − | 0.464594i | \(-0.846200\pi\) |
0.845112 | + | 0.534589i | \(0.179534\pi\) | |||||||
\(242\) | −352604. | −0.387034 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −860464. | −0.925248 | ||||||||
\(245\) | 118976. | − | 206072.i | 0.126632 | − | 0.219332i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 106375. | + | 184247.i | 0.110942 | + | 0.192158i | ||||
\(248\) | −167296. | − | 289765.i | −0.172725 | − | 0.299169i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 243978. | − | 422582.i | 0.246888 | − | 0.427623i | ||||
\(251\) | −1.65869e6 | −1.66181 | −0.830906 | − | 0.556413i | \(-0.812177\pi\) | ||||
−0.830906 | + | 0.556413i | \(0.812177\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 976860. | 0.959469 | ||||||||
\(254\) | 625964. | − | 1.08420e6i | 0.608787 | − | 1.05445i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −32768.0 | − | 56755.8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 397090. | + | 687781.i | 0.375022 | + | 0.649557i | 0.990330 | − | 0.138729i | \(-0.0443018\pi\) |
−0.615308 | + | 0.788287i | \(0.710969\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −366929. | + | 635540.i | −0.339885 | + | 0.588699i | ||||
\(260\) | −38640.0 | −0.0354490 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −423240. | −0.380920 | ||||||||
\(263\) | −795396. | + | 1.37767e6i | −0.709078 | + | 1.22816i | 0.256121 | + | 0.966645i | \(0.417555\pi\) |
−0.965200 | + | 0.261515i | \(0.915778\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −385623. | − | 667919.i | −0.337325 | − | 0.584264i | ||||
\(266\) | −273800. | − | 474236.i | −0.237263 | − | 0.410951i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 103472. | − | 179219.i | 0.0880006 | − | 0.152422i | ||||
\(269\) | 1.57975e6 | 1.33109 | 0.665545 | − | 0.746358i | \(-0.268199\pi\) | ||||
0.665545 | + | 0.746358i | \(0.268199\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −415762. | −0.343892 | −0.171946 | − | 0.985106i | \(-0.555005\pi\) | ||||
−0.171946 | + | 0.985106i | \(0.555005\pi\) | |||||||
\(272\) | 110208. | − | 190886.i | 0.0903214 | − | 0.156441i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 568962. | + | 985471.i | 0.457833 | + | 0.792990i | ||||
\(275\) | 362340. | + | 627591.i | 0.288925 | + | 0.500432i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −281203. | + | 487058.i | −0.220202 | + | 0.381400i | −0.954869 | − | 0.297027i | \(-0.904005\pi\) |
0.734667 | + | 0.678427i | \(0.237338\pi\) | |||||||
\(278\) | −649312. | −0.503897 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 99456.0 | 0.0758116 | ||||||||
\(281\) | 1.21331e6 | − | 2.10152e6i | 0.916657 | − | 1.58770i | 0.112200 | − | 0.993686i | \(-0.464210\pi\) |
0.804457 | − | 0.594011i | \(-0.202456\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 601466. | + | 1.04177e6i | 0.446421 | + | 0.773225i | 0.998150 | − | 0.0607992i | \(-0.0193649\pi\) |
−0.551729 | + | 0.834024i | \(0.686032\pi\) | |||||||
\(284\) | 34032.0 | + | 58945.2i | 0.0250375 | + | 0.0433663i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 62100.0 | − | 107560.i | 0.0448928 | − | 0.0777566i | ||||
\(287\) | 796092. | 0.570504 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −678536. | −0.477890 | ||||||||
\(290\) | −47250.0 | + | 81839.4i | −0.0329919 | + | 0.0571436i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 140168. | + | 242778.i | 0.0962037 | + | 0.166630i | ||||
\(293\) | 336236. | + | 582377.i | 0.228810 | + | 0.396310i | 0.957456 | − | 0.288581i | \(-0.0931833\pi\) |
−0.728646 | + | 0.684891i | \(0.759850\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −277830. | + | 481216.i | −0.185876 | + | 0.321947i | ||||
\(296\) | 634688. | 0.421047 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.08284e6 | −0.706359 | ||||||||
\(299\) | 208035. | − | 360327.i | 0.134573 | − | 0.233088i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 729418. | + | 1.26339e6i | 0.464045 | + | 0.803750i | ||||
\(302\) | 33704.0 | + | 58377.0i | 0.0212649 | + | 0.0368320i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −236800. | + | 410150.i | −0.146960 | + | 0.254541i | ||||
\(305\) | −1.12936e6 | −0.695156 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.79488e6 | −1.69245 | −0.846226 | − | 0.532823i | \(-0.821131\pi\) | ||||
−0.846226 | + | 0.532823i | \(0.821131\pi\) | |||||||
\(308\) | −159840. | + | 276851.i | −0.0960083 | + | 0.166291i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −219576. | − | 380317.i | −0.129772 | − | 0.224772i | ||||
\(311\) | 1.52980e6 | + | 2.64968e6i | 0.896876 | + | 1.55344i | 0.831465 | + | 0.555577i | \(0.187503\pi\) |
0.0654112 | + | 0.997858i | \(0.479164\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.31737e6 | + | 2.28175e6i | −0.760059 | + | 1.31646i | 0.182760 | + | 0.983157i | \(0.441497\pi\) |
−0.942820 | + | 0.333304i | \(0.891837\pi\) | |||||||
\(314\) | 989492. | 0.566354 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −591136. | −0.333020 | ||||||||
\(317\) | −404188. | + | 700075.i | −0.225910 | + | 0.391288i | −0.956592 | − | 0.291430i | \(-0.905869\pi\) |
0.730682 | + | 0.682718i | \(0.239202\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −151875. | − | 263055.i | −0.0835621 | − | 0.144734i | ||||
\(320\) | −43008.0 | − | 74492.0i | −0.0234787 | − | 0.0406663i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −535464. | + | 927451.i | −0.287800 | + | 0.498484i | ||||
\(323\) | −1.59285e6 | −0.849510 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 308660. | 0.162096 | ||||||||
\(326\) | 400232. | − | 693222.i | 0.208578 | − | 0.361267i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −344256. | − | 596269.i | −0.176684 | − | 0.306025i | ||||
\(329\) | −369408. | − | 639833.i | −0.188155 | − | 0.325895i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 426839. | − | 739307.i | 0.214138 | − | 0.370898i | −0.738867 | − | 0.673851i | \(-0.764639\pi\) |
0.953006 | + | 0.302953i | \(0.0979724\pi\) | |||||||
\(332\) | −1.22266e6 | −0.608778 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 56472.0 | 0.0276992 | ||||||||
\(335\) | 135807. | − | 235225.i | 0.0661165 | − | 0.114517i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −148939. | − | 257970.i | −0.0714387 | − | 0.123735i | 0.828093 | − | 0.560590i | \(-0.189426\pi\) |
−0.899532 | + | 0.436855i | \(0.856092\pi\) | |||||||
\(338\) | 716136. | + | 1.24038e6i | 0.340960 | + | 0.590560i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 144648. | − | 250538.i | 0.0678602 | − | 0.117537i | ||||
\(341\) | 1.41156e6 | 0.657375 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.08221e6 | −0.955630 | ||||||||
\(344\) | 630848. | − | 1.09266e6i | 0.287428 | − | 0.497839i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 96798.0 | + | 167659.i | 0.0434686 | + | 0.0752899i | ||||
\(347\) | −44373.0 | − | 76856.3i | −0.0197831 | − | 0.0342654i | 0.855964 | − | 0.517035i | \(-0.172964\pi\) |
−0.875747 | + | 0.482769i | \(0.839631\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.18087e6 | + | 2.04533e6i | −0.518967 | + | 0.898877i | 0.480790 | + | 0.876836i | \(0.340350\pi\) |
−0.999757 | + | 0.0220413i | \(0.992983\pi\) | |||||||
\(350\) | −794464. | −0.346660 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 276480. | 0.118934 | ||||||||
\(353\) | 1.93038e6 | − | 3.34352e6i | 0.824530 | − | 1.42813i | −0.0777471 | − | 0.996973i | \(-0.524773\pi\) |
0.902278 | − | 0.431156i | \(-0.141894\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 44667.0 | + | 77365.5i | 0.0188112 | + | 0.0325819i | ||||
\(356\) | 362856. | + | 628485.i | 0.151743 | + | 0.262827i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −750792. | + | 1.30041e6i | −0.309608 | + | 0.536257i | ||||
\(359\) | −3.74852e6 | −1.53505 | −0.767527 | − | 0.641017i | \(-0.778513\pi\) | ||||
−0.767527 | + | 0.641017i | \(0.778513\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 946401. | 0.382215 | ||||||||
\(362\) | −881404. | + | 1.52664e6i | −0.353512 | + | 0.612300i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 68080.0 | + | 117918.i | 0.0269318 | + | 0.0466473i | ||||
\(365\) | 183970. | + | 318646.i | 0.0722796 | + | 0.125192i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.33170e6 | − | 2.30657e6i | 0.516107 | − | 0.893924i | −0.483718 | − | 0.875224i | \(-0.660714\pi\) |
0.999825 | − | 0.0187000i | \(-0.00595273\pi\) | |||||||
\(368\) | 926208. | 0.356524 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 833028. | 0.316341 | ||||||||
\(371\) | −1.35886e6 | + | 2.35362e6i | −0.512555 | + | 0.887772i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −479935. | − | 831272.i | −0.178612 | − | 0.309365i | 0.762793 | − | 0.646642i | \(-0.223827\pi\) |
−0.941405 | + | 0.337277i | \(0.890494\pi\) | |||||||
\(374\) | 464940. | + | 805300.i | 0.171877 | + | 0.297700i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −319488. | + | 553369.i | −0.116543 | + | 0.201858i | ||||
\(377\) | −129375. | −0.0468810 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −193780. | −0.0692964 | −0.0346482 | − | 0.999400i | \(-0.511031\pi\) | ||||
−0.0346482 | + | 0.999400i | \(0.511031\pi\) | |||||||
\(380\) | −310800. | + | 538321.i | −0.110413 | + | 0.191242i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −973956. | − | 1.68694e6i | −0.341492 | − | 0.591482i | ||||
\(383\) | −2.77696e6 | − | 4.80984e6i | −0.967327 | − | 1.67546i | −0.703228 | − | 0.710965i | \(-0.748259\pi\) |
−0.264100 | − | 0.964495i | \(-0.585075\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −209790. | + | 363367.i | −0.0721328 | + | 0.124938i | ||||
\(386\) | −416740. | −0.142363 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.04118e6 | 0.688340 | ||||||||
\(389\) | 2.41398e6 | − | 4.18113e6i | 0.808833 | − | 1.40094i | −0.104839 | − | 0.994489i | \(-0.533433\pi\) |
0.913672 | − | 0.406451i | \(-0.133234\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.55755e6 | + | 2.69775e6i | 0.515228 | + | 0.892402i | ||||
\(392\) | 362592. | + | 628028.i | 0.119180 | + | 0.206426i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −78738.0 | + | 136378.i | −0.0255531 | + | 0.0442593i | ||||
\(395\) | −775866. | −0.250204 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 313409. | 0.0998011 | 0.0499005 | − | 0.998754i | \(-0.484110\pi\) | ||||
0.0499005 | + | 0.998754i | \(0.484110\pi\) | |||||||
\(398\) | −1.90497e6 | + | 3.29950e6i | −0.602809 | + | 1.04410i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 343552. | + | 595050.i | 0.107360 | + | 0.185953i | ||||
\(401\) | −2.64145e6 | − | 4.57512e6i | −0.820316 | − | 1.42083i | −0.905447 | − | 0.424459i | \(-0.860464\pi\) |
0.0851315 | − | 0.996370i | \(-0.472869\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 300610. | − | 520672.i | 0.0922021 | − | 0.159699i | ||||
\(404\) | −1.26192e6 | −0.384661 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 333000. | 0.100260 | ||||||||
\(407\) | −1.33880e6 | + | 2.31886e6i | −0.400616 | + | 0.693887i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.29406e6 | − | 3.97342e6i | −0.678104 | − | 1.17451i | −0.975551 | − | 0.219772i | \(-0.929469\pi\) |
0.297448 | − | 0.954738i | \(-0.403865\pi\) | |||||||
\(410\) | −451836. | − | 782603.i | −0.132746 | − | 0.229923i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 139904. | − | 242321.i | 0.0406057 | − | 0.0703312i | ||||
\(413\) | 1.95804e6 | 0.564867 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.60474e6 | −0.457387 | ||||||||
\(416\) | 58880.0 | − | 101983.i | 0.0166815 | − | 0.0288932i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −999000. | − | 1.73032e6i | −0.279656 | − | 0.484379i | ||||
\(419\) | 1.18349e6 | + | 2.04986e6i | 0.329328 | + | 0.570413i | 0.982379 | − | 0.186901i | \(-0.0598444\pi\) |
−0.653051 | + | 0.757314i | \(0.726511\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 227398. | − | 393864.i | 0.0625289 | − | 0.108303i | −0.833066 | − | 0.553173i | \(-0.813417\pi\) |
0.895595 | + | 0.444870i | \(0.146750\pi\) | |||||||
\(422\) | 1.76444e6 | 0.482309 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.35046e6 | 0.634949 | ||||||||
\(425\) | −1.15546e6 | + | 2.00132e6i | −0.310301 | + | 0.537457i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.98982e6 | + | 3.44647e6i | 0.528135 | + | 0.914756i | ||||
\(428\) | 1.07491e6 | + | 1.86180e6i | 0.283637 | + | 0.491274i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 827988. | − | 1.43412e6i | 0.215950 | − | 0.374036i | ||||
\(431\) | 1.26286e6 | 0.327462 | 0.163731 | − | 0.986505i | \(-0.447647\pi\) | ||||
0.163731 | + | 0.986505i | \(0.447647\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.48900e6 | 1.40693 | 0.703467 | − | 0.710728i | \(-0.251634\pi\) | ||||
0.703467 | + | 0.710728i | \(0.251634\pi\) | |||||||
\(434\) | −773744. | + | 1.34016e6i | −0.197185 | + | 0.341534i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 987896. | + | 1.71109e6i | 0.248883 | + | 0.431078i | ||||
\(437\) | −3.34665e6 | − | 5.79657e6i | −0.838314 | − | 1.45200i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.05822e6 | − | 5.29699e6i | 0.757369 | − | 1.31180i | −0.186819 | − | 0.982394i | \(-0.559818\pi\) |
0.944188 | − | 0.329407i | \(-0.106849\pi\) | |||||||
\(440\) | 362880. | 0.0893576 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 396060. | 0.0964285 | ||||||||
\(443\) | −369600. | + | 640166.i | −0.0894793 | + | 0.154983i | −0.907291 | − | 0.420503i | \(-0.861854\pi\) |
0.817812 | + | 0.575486i | \(0.195187\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 476249. | + | 824887.i | 0.114008 | + | 0.197467i | ||||
\(446\) | 1.65021e6 | + | 2.85825e6i | 0.392828 | + | 0.680398i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −151552. | + | 262496.i | −0.0356752 | + | 0.0617913i | ||||
\(449\) | 7.31432e6 | 1.71221 | 0.856107 | − | 0.516799i | \(-0.172876\pi\) | ||||
0.856107 | + | 0.516799i | \(0.172876\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.90466e6 | 0.672441 | ||||||||
\(452\) | −1.39231e6 | + | 2.41156e6i | −0.320546 | + | 0.555202i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.31140e6 | − | 4.00347e6i | −0.526303 | − | 0.911584i | ||||
\(455\) | 89355.0 | + | 154767.i | 0.0202344 | + | 0.0350470i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.84452e6 | − | 6.65890e6i | 0.861096 | − | 1.49146i | −0.00977649 | − | 0.999952i | \(-0.503112\pi\) |
0.870872 | − | 0.491509i | \(-0.163555\pi\) | |||||||
\(458\) | 5.37343e6 | 1.19698 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.21565e6 | 0.267863 | ||||||||
\(461\) | 2.96968e6 | − | 5.14365e6i | 0.650816 | − | 1.12725i | −0.332110 | − | 0.943241i | \(-0.607760\pi\) |
0.982925 | − | 0.184005i | \(-0.0589063\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 227978. | + | 394869.i | 0.0494243 | + | 0.0856054i | 0.889679 | − | 0.456586i | \(-0.150928\pi\) |
−0.840255 | + | 0.542192i | \(0.817595\pi\) | |||||||
\(464\) | −144000. | − | 249415.i | −0.0310504 | − | 0.0537809i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.15110e6 | + | 3.72582e6i | −0.458877 | + | 0.794798i | ||||
\(467\) | −5.97097e6 | −1.26693 | −0.633465 | − | 0.773771i | \(-0.718368\pi\) | ||||
−0.633465 | + | 0.773771i | \(0.718368\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −957116. | −0.200924 | ||||||||
\(470\) | −419328. | + | 726297.i | −0.0875607 | + | 0.151660i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −846720. | − | 1.46656e6i | −0.174938 | − | 0.303002i | ||||
\(473\) | 2.66139e6 | + | 4.60966e6i | 0.546960 | + | 0.947363i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.48270e6 | − | 4.30016e6i | 0.504882 | − | 0.874482i | ||||
\(476\) | −1.01942e6 | −0.206223 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 144384. | 0.0289034 | ||||||||
\(479\) | −2.12420e6 | + | 3.67921e6i | −0.423015 | + | 0.732683i | −0.996233 | − | 0.0867198i | \(-0.972362\pi\) |
0.573218 | + | 0.819403i | \(0.305695\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 570228. | + | 987663.i | 0.112379 | + | 0.194646i | ||||
\(482\) | −145750. | − | 252446.i | −0.0285753 | − | 0.0494939i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 705208. | − | 1.22146e6i | 0.136837 | − | 0.237009i | ||||
\(485\) | 2.67905e6 | 0.517163 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.04048e6 | −0.198797 | −0.0993985 | − | 0.995048i | \(-0.531692\pi\) | ||||
−0.0993985 | + | 0.995048i | \(0.531692\pi\) | |||||||
\(488\) | 1.72093e6 | − | 2.98073e6i | 0.327125 | − | 0.566596i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 475902. | + | 824286.i | 0.0895421 | + | 0.155091i | ||||
\(491\) | −2.77849e6 | − | 4.81248e6i | −0.520122 | − | 0.900877i | −0.999726 | − | 0.0233925i | \(-0.992553\pi\) |
0.479605 | − | 0.877485i | \(-0.340780\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 484312. | − | 838854.i | 0.0897446 | − | 0.155442i | ||||
\(494\) | −851000. | −0.156896 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.33837e6 | 0.244271 | ||||||||
\(497\) | 157398. | − | 272621.i | 0.0285830 | − | 0.0495073i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 176639. | + | 305948.i | 0.0317567 | + | 0.0550042i | 0.881467 | − | 0.472246i | \(-0.156556\pi\) |
−0.849710 | + | 0.527250i | \(0.823223\pi\) | |||||||
\(500\) | 975912. | + | 1.69033e6i | 0.174576 | + | 0.302375i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.31739e6 | − | 5.74588e6i | 0.587539 | − | 1.01765i | ||||
\(503\) | 4.21978e6 | 0.743651 | 0.371826 | − | 0.928303i | \(-0.378732\pi\) | ||||
0.371826 | + | 0.928303i | \(0.378732\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.65627e6 | −0.289003 | ||||||||
\(506\) | −1.95372e6 | + | 3.38394e6i | −0.339224 | + | 0.587552i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.50386e6 | + | 4.33681e6i | 0.430477 | + | 0.745608i | ||||
\(509\) | −173067. | − | 299761.i | −0.0296087 | − | 0.0512838i | 0.850841 | − | 0.525423i | \(-0.176093\pi\) |
−0.880450 | + | 0.474139i | \(0.842759\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 648277. | − | 1.12285e6i | 0.109827 | − | 0.190226i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.17672e6 | −0.530361 | ||||||||
\(515\) | 183624. | − | 318046.i | 0.0305078 | − | 0.0528411i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.34784e6 | − | 2.33453e6i | −0.221775 | − | 0.384125i | ||||
\(518\) | −1.46772e6 | − | 2.54216e6i | −0.240335 | − | 0.416273i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 77280.0 | − | 133853.i | 0.0125331 | − | 0.0217080i | ||||
\(521\) | 1.90025e6 | 0.306703 | 0.153351 | − | 0.988172i | \(-0.450993\pi\) | ||||
0.153351 | + | 0.988172i | \(0.450993\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.16589e6 | −0.825831 | −0.412915 | − | 0.910769i | \(-0.635489\pi\) | ||||
−0.412915 | + | 0.910769i | \(0.635489\pi\) | |||||||
\(524\) | 846480. | − | 1.46615e6i | 0.134675 | − | 0.233265i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.18158e6 | − | 5.51067e6i | −0.501394 | − | 0.868440i | ||||
\(527\) | 2.25065e6 | + | 3.89825e6i | 0.353006 | + | 0.611424i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.32679e6 | + | 5.76217e6i | −0.516876 | + | 0.895255i | ||||
\(530\) | 3.08498e6 | 0.477049 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.19040e6 | 0.335540 | ||||||||
\(533\) | 618585. | − | 1.07142e6i | 0.0943151 | − | 0.163359i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.41082e6 | + | 2.44362e6i | 0.213102 | + | 0.369104i | ||||
\(536\) | 413888. | + | 716875.i | 0.0622259 | + | 0.107778i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.15950e6 | + | 5.47241e6i | −0.470611 | + | 0.815123i | ||||
\(539\) | −3.05937e6 | −0.453586 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.15125e6 | 0.609797 | 0.304899 | − | 0.952385i | \(-0.401377\pi\) | ||||
0.304899 | + | 0.952385i | \(0.401377\pi\) | |||||||
\(542\) | 831524. | − | 1.44024e6i | 0.121584 | − | 0.210590i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 440832. | + | 763543.i | 0.0638669 | + | 0.110621i | ||||
\(545\) | 1.29661e6 | + | 2.24580e6i | 0.186990 | + | 0.323877i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.56262e6 | + | 7.90269e6i | −0.651998 | + | 1.12929i | 0.330640 | + | 0.943757i | \(0.392735\pi\) |
−0.982637 | + | 0.185536i | \(0.940598\pi\) | |||||||
\(548\) | −4.55170e6 | −0.647473 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.89872e6 | −0.408601 | ||||||||
\(551\) | −1.04062e6 | + | 1.80242e6i | −0.146021 | + | 0.252916i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.36700e6 | + | 2.36772e6i | 0.190089 | + | 0.329243i | ||||
\(554\) | −1.12481e6 | − | 1.94823e6i | −0.155706 | − | 0.269691i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.29862e6 | − | 2.24928e6i | 0.178154 | − | 0.308572i | ||||
\(557\) | −3.78858e6 | −0.517415 | −0.258707 | − | 0.965956i | \(-0.583297\pi\) | ||||
−0.258707 | + | 0.965956i | \(0.583297\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.26711e6 | 0.306862 | ||||||||
\(560\) | −198912. | + | 344526.i | −0.0268035 | + | 0.0464250i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.85325e6 | + | 8.40608e6i | 0.648174 | + | 1.12267i | ||||
\(563\) | −2.84333e6 | − | 4.92479e6i | −0.378056 | − | 0.654812i | 0.612723 | − | 0.790297i | \(-0.290074\pi\) |
−0.990779 | + | 0.135485i | \(0.956741\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.82741e6 | + | 3.16517e6i | −0.240832 | + | 0.417134i | ||||
\(566\) | −4.81173e6 | −0.631335 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −272256. | −0.0354084 | ||||||||
\(569\) | 5.25194e6 | − | 9.09663e6i | 0.680048 | − | 1.17788i | −0.294918 | − | 0.955522i | \(-0.595292\pi\) |
0.974966 | − | 0.222354i | \(-0.0713742\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.50496e6 | − | 6.07077e6i | −0.449876 | − | 0.779208i | 0.548502 | − | 0.836149i | \(-0.315198\pi\) |
−0.998377 | + | 0.0569418i | \(0.981865\pi\) | |||||||
\(572\) | 248400. | + | 430241.i | 0.0317440 | + | 0.0549822i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.59218e6 | + | 2.75774e6i | −0.201704 | + | 0.349361i | ||||
\(575\) | −9.71071e6 | −1.22485 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.54196e6 | −0.442898 | −0.221449 | − | 0.975172i | \(-0.571079\pi\) | ||||
−0.221449 | + | 0.975172i | \(0.571079\pi\) | |||||||
\(578\) | 1.35707e6 | − | 2.35052e6i | 0.168960 | − | 0.292647i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −189000. | − | 327358.i | −0.0233288 | − | 0.0404066i | ||||
\(581\) | 2.82739e6 | + | 4.89719e6i | 0.347493 | + | 0.601875i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.95801e6 | + | 8.58753e6i | −0.604138 | + | 1.04640i | ||||
\(584\) | −1.12134e6 | −0.136053 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.68988e6 | −0.323586 | ||||||||
\(587\) | −7.63892e6 | + | 1.32310e7i | −0.915032 | + | 1.58488i | −0.108178 | + | 0.994132i | \(0.534502\pi\) |
−0.806854 | + | 0.590751i | \(0.798832\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.83590e6 | − | 8.37602e6i | −0.574366 | − | 0.994832i | ||||
\(590\) | −1.11132e6 | − | 1.92486e6i | −0.131434 | − | 0.227651i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.26938e6 | + | 2.19862e6i | −0.148863 | + | 0.257838i | ||||
\(593\) | −278457. | −0.0325178 | −0.0162589 | − | 0.999868i | \(-0.505176\pi\) | ||||
−0.0162589 | + | 0.999868i | \(0.505176\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.33799e6 | −0.154939 | ||||||||
\(596\) | 2.16569e6 | − | 3.75108e6i | 0.249735 | − | 0.432555i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 832140. | + | 1.44131e6i | 0.0951576 | + | 0.164818i | ||||
\(599\) | 5.03181e6 | + | 8.71535e6i | 0.573003 | + | 0.992471i | 0.996255 | + | 0.0864590i | \(0.0275551\pi\) |
−0.423252 | + | 0.906012i | \(0.639112\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.82889e6 | + | 1.18280e7i | −0.771194 | + | 1.33575i | 0.165715 | + | 0.986174i | \(0.447007\pi\) |
−0.936909 | + | 0.349574i | \(0.886326\pi\) | |||||||
\(602\) | −5.83534e6 | −0.656259 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −269632. | −0.0300732 | ||||||||
\(605\) | 925586. | − | 1.60316e6i | 0.102808 | − | 0.178069i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.47969e6 | + | 7.75905e6i | 0.493487 | + | 0.854745i | 0.999972 | − | 0.00750376i | \(-0.00238854\pi\) |
−0.506484 | + | 0.862249i | \(0.669055\pi\) | |||||||
\(608\) | −947200. | − | 1.64060e6i | −0.103916 | − | 0.179988i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.25872e6 | − | 3.91221e6i | 0.245775 | − | 0.425695i | ||||
\(611\) | −1.14816e6 | −0.124423 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 529958. | 0.0569627 | 0.0284813 | − | 0.999594i | \(-0.490933\pi\) | ||||
0.0284813 | + | 0.999594i | \(0.490933\pi\) | |||||||
\(614\) | 5.58975e6 | − | 9.68173e6i | 0.598372 | − | 1.03641i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −639360. | − | 1.10740e6i | −0.0678881 | − | 0.117586i | ||||
\(617\) | 2.98514e6 | + | 5.17041e6i | 0.315683 | + | 0.546779i | 0.979582 | − | 0.201043i | \(-0.0644330\pi\) |
−0.663899 | + | 0.747822i | \(0.731100\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 585668. | − | 1.01441e6i | 0.0614363 | − | 0.106411i | −0.833671 | − | 0.552261i | \(-0.813765\pi\) |
0.895108 | + | 0.445850i | \(0.147099\pi\) | |||||||
\(620\) | 1.75661e6 | 0.183525 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.22384e7 | −1.26837 | ||||||||
\(623\) | 1.67821e6 | − | 2.90674e6i | 0.173231 | − | 0.300045i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.91287e6 | − | 5.04523e6i | −0.298277 | − | 0.516632i | ||||
\(626\) | −5.26949e6 | − | 9.12702e6i | −0.537443 | − | 0.930879i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.97898e6 | + | 3.42770e6i | −0.200236 | + | 0.346820i | ||||
\(629\) | −8.53854e6 | −0.860512 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.49126e7 | −1.49101 | −0.745504 | − | 0.666501i | \(-0.767791\pi\) | ||||
−0.745504 | + | 0.666501i | \(0.767791\pi\) | |||||||
\(632\) | 1.18227e6 | − | 2.04776e6i | 0.117740 | − | 0.203932i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.61675e6 | − | 2.80030e6i | −0.159743 | − | 0.276682i | ||||
\(635\) | 3.28631e6 | + | 5.69206e6i | 0.323426 | + | 0.560190i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −651532. | + | 1.12849e6i | −0.0636191 | + | 0.110192i | ||||
\(638\) | 1.21500e6 | 0.118175 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 344064. | 0.0332039 | ||||||||
\(641\) | −3.94252e6 | + | 6.82864e6i | −0.378991 | + | 0.656431i | −0.990916 | − | 0.134485i | \(-0.957062\pi\) |
0.611925 | + | 0.790916i | \(0.290395\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −929020. | − | 1.60911e6i | −0.0886130 | − | 0.153482i | 0.818312 | − | 0.574774i | \(-0.194910\pi\) |
−0.906925 | + | 0.421292i | \(0.861577\pi\) | |||||||
\(644\) | −2.14186e6 | − | 3.70980e6i | −0.203505 | − | 0.352481i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.18570e6 | − | 5.51779e6i | 0.300347 | − | 0.520217i | ||||
\(647\) | −1.54147e6 | −0.144768 | −0.0723841 | − | 0.997377i | \(-0.523061\pi\) | ||||
−0.0723841 | + | 0.997377i | \(0.523061\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.14420e6 | 0.665797 | ||||||||
\(650\) | −617320. | + | 1.06923e6i | −0.0573095 | + | 0.0992630i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.60093e6 | + | 2.77289e6i | 0.147487 | + | 0.255454i | ||||
\(653\) | −2.06668e6 | − | 3.57959e6i | −0.189666 | − | 0.328512i | 0.755473 | − | 0.655180i | \(-0.227407\pi\) |
−0.945139 | + | 0.326669i | \(0.894074\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.11100e6 | − | 1.92432e6i | 0.101184 | − | 0.175256i | ||||
\(656\) | 2.75405e6 | 0.249869 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.95526e6 | 0.266092 | ||||||||
\(659\) | 8.54102e6 | − | 1.47935e7i | 0.766118 | − | 1.32696i | −0.173535 | − | 0.984828i | \(-0.555519\pi\) |
0.939653 | − | 0.342128i | \(-0.111148\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.07322e6 | + | 5.32298e6i | 0.273584 | + | 0.473861i | 0.969777 | − | 0.243994i | \(-0.0784576\pi\) |
−0.696193 | + | 0.717855i | \(0.745124\pi\) | |||||||
\(662\) | 1.70736e6 | + | 2.95723e6i | 0.151419 | + | 0.262265i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.44531e6 | − | 4.23540e6i | 0.215236 | − | 0.372799i | ||||
\(665\) | 2.87490e6 | 0.252098 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.07025e6 | 0.354247 | ||||||||
\(668\) | −112944. | + | 195625.i | −0.00979314 | + | 0.0169622i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 543228. | + | 940898.i | 0.0467515 | + | 0.0809759i | ||||
\(671\) | 7.26016e6 | + | 1.25750e7i | 0.622501 | + | 1.07820i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.36248e6 | + | 7.55604e6i | −0.371275 | + | 0.643067i | −0.989762 | − | 0.142728i | \(-0.954413\pi\) |
0.618487 | + | 0.785795i | \(0.287746\pi\) | |||||||
\(674\) | 1.19151e6 | 0.101030 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.72909e6 | −0.482191 | ||||||||
\(677\) | −5.92244e6 | + | 1.02580e7i | −0.496625 | + | 0.860180i | −0.999992 | − | 0.00389267i | \(-0.998761\pi\) |
0.503367 | + | 0.864073i | \(0.332094\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.72024e6 | − | 8.17569e6i | −0.392907 | − | 0.680534i | ||||
\(680\) | 578592. | + | 1.00215e6i | 0.0479844 | + | 0.0831114i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.82312e6 | + | 4.88979e6i | −0.232417 | + | 0.402559i | ||||
\(683\) | 4.03085e6 | 0.330632 | 0.165316 | − | 0.986241i | \(-0.447136\pi\) | ||||
0.165316 | + | 0.986241i | \(0.447136\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.97410e6 | −0.486459 | ||||||||
\(686\) | 4.16442e6 | − | 7.21299e6i | 0.337866 | − | 0.585201i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.52339e6 | + | 4.37064e6i | 0.203242 | + | 0.352026i | ||||
\(689\) | 2.11174e6 | + | 3.65765e6i | 0.169470 | + | 0.293531i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.61461e6 | + | 2.79658e6i | −0.128639 | + | 0.222809i | −0.923149 | − | 0.384441i | \(-0.874394\pi\) |
0.794511 | + | 0.607250i | \(0.207727\pi\) | |||||||
\(692\) | −774384. | −0.0614740 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 354984. | 0.0279776 | ||||||||
\(695\) | 1.70444e6 | − | 2.95218e6i | 0.133851 | − | 0.231836i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.63132e6 | + | 8.02168e6i | 0.361096 | + | 0.625437i | ||||
\(698\) | −4.72349e6 | − | 8.18133e6i | −0.366965 | − | 0.635602i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.58893e6 | − | 2.75210e6i | 0.122563 | − | 0.212285i | ||||
\(701\) | 1.34398e7 | 1.03300 | 0.516499 | − | 0.856288i | \(-0.327235\pi\) | ||||
0.516499 | + | 0.856288i | \(0.327235\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.83464e7 | 1.40012 | ||||||||
\(704\) | −552960. | + | 957755.i | −0.0420496 | + | 0.0728321i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.72153e6 | + | 1.33741e7i | 0.583031 | + | 1.00984i | ||||
\(707\) | 2.91819e6 | + | 5.05445e6i | 0.219566 | + | 0.380299i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.04150e7 | − | 1.80393e7i | 0.778114 | − | 1.34773i | −0.154913 | − | 0.987928i | \(-0.549510\pi\) |
0.933028 | − | 0.359805i | \(-0.117157\pi\) | |||||||
\(710\) | −357336. | −0.0266030 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.90285e6 | −0.214597 | ||||||||
\(713\) | −9.45745e6 | + | 1.63808e7i | −0.696707 | + | 1.20673i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 326025. | + | 564692.i | 0.0238499 | + | 0.0413092i | ||||
\(716\) | −3.00317e6 | − | 5.20164e6i | −0.218926 | − | 0.379191i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.49704e6 | − | 1.29852e7i | 0.542723 | − | 0.940024i | ||||
\(719\) | 2.57779e7 | 1.85963 | 0.929813 | − | 0.368032i | \(-0.119968\pi\) | ||||
0.929813 | + | 0.368032i | \(0.119968\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.29411e6 | −0.0927115 | ||||||||
\(722\) | −1.89280e6 | + | 3.27843e6i | −0.135133 | + | 0.234058i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.52562e6 | − | 6.10655e6i | −0.249970 | − | 0.432961i | ||||
\(725\) | 1.50975e6 | + | 2.61496e6i | 0.106674 | + | 0.184765i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.62246e6 | − | 6.27428e6i | 0.254195 | − | 0.440279i | −0.710481 | − | 0.703716i | \(-0.751523\pi\) |
0.964677 | + | 0.263437i | \(0.0848561\pi\) | |||||||
\(728\) | −544640. | −0.0380874 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.47176e6 | −0.102219 | ||||||||
\(731\) | −8.48688e6 | + | 1.46997e7i | −0.587428 | + | 1.01745i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.82136e6 | + | 4.88674e6i | 0.193954 | + | 0.335938i | 0.946557 | − | 0.322536i | \(-0.104535\pi\) |
−0.752603 | + | 0.658474i | \(0.771202\pi\) | |||||||
\(734\) | 5.32678e6 | + | 9.22626e6i | 0.364943 | + | 0.632100i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.85242e6 | + | 3.20848e6i | −0.126050 | + | 0.218326i | ||||
\(737\) | −3.49218e6 | −0.236825 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.72501e7 | 1.16193 | 0.580967 | − | 0.813927i | \(-0.302674\pi\) | ||||
0.580967 | + | 0.813927i | \(0.302674\pi\) | |||||||
\(740\) | −1.66606e6 | + | 2.88569e6i | −0.111843 | + | 0.193718i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.43545e6 | − | 9.41447e6i | −0.362431 | − | 0.627749i | ||||
\(743\) | −6.46732e6 | − | 1.12017e7i | −0.429786 | − | 0.744412i | 0.567068 | − | 0.823671i | \(-0.308078\pi\) |
−0.996854 | + | 0.0792596i | \(0.974744\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.84247e6 | − | 4.92329e6i | 0.187631 | − | 0.324986i | ||||
\(746\) | 3.83948e6 | 0.252595 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.71952e6 | −0.243071 | ||||||||
\(749\) | 4.97147e6 | − | 8.61084e6i | 0.323802 | − | 0.560842i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.84905e6 | − | 4.93469e6i | −0.184332 | − | 0.319272i | 0.759019 | − | 0.651068i | \(-0.225679\pi\) |
−0.943351 | + | 0.331796i | \(0.892345\pi\) | |||||||
\(752\) | −1.27795e6 | − | 2.21348e6i | −0.0824081 | − | 0.142735i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 258750. | − | 448168.i | 0.0165749 | − | 0.0287086i | ||||
\(755\) | −353892. | −0.0225945 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.72388e6 | 0.236187 | 0.118093 | − | 0.993002i | \(-0.462322\pi\) | ||||
0.118093 | + | 0.993002i | \(0.462322\pi\) | |||||||
\(758\) | 387560. | − | 671274.i | 0.0245000 | − | 0.0424352i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.24320e6 | − | 2.15329e6i | −0.0780741 | − | 0.135228i | ||||
\(761\) | −8.84733e6 | − | 1.53240e7i | −0.553797 | − | 0.959205i | −0.997996 | − | 0.0632765i | \(-0.979845\pi\) |
0.444199 | − | 0.895928i | \(-0.353488\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.56902e6 | − | 7.91377e6i | 0.284126 | − | 0.492121i | ||||
\(764\) | 7.79165e6 | 0.482943 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.22157e7 | 1.36801 | ||||||||
\(767\) | 1.52145e6 | − | 2.63523e6i | 0.0933833 | − | 0.161745i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.32902e6 | − | 1.44263e7i | −0.507900 | − | 0.879708i | −0.999958 | − | 0.00914603i | \(-0.997089\pi\) |
0.492058 | − | 0.870562i | \(-0.336245\pi\) | |||||||
\(770\) | −839160. | − | 1.45347e6i | −0.0510056 | − | 0.0883443i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 833480. | − | 1.44363e6i | 0.0503329 | − | 0.0871791i | ||||
\(773\) | 2.04852e6 | 0.123308 | 0.0616539 | − | 0.998098i | \(-0.480362\pi\) | ||||
0.0616539 | + | 0.998098i | \(0.480362\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.40320e7 | −0.839197 | ||||||||
\(776\) | −4.08237e6 | + | 7.07087e6i | −0.243365 | + | 0.421520i |