Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [100,3,Mod(99,100)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(100, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("100.99");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 100 = 2^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 100.d (of order \(2\), degree \(1\), 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: | \(2.72480264360\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{12} \) |
Twist minimal: | no (minimal twist has level 20) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 99.7 | ||
Root | \(0.951057 - 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 100.99 |
Dual form | 100.3.d.b.99.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/100\mathbb{Z}\right)^\times\).
\(n\) | \(51\) | \(77\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.90211 | − | 0.618034i | 0.951057 | − | 0.309017i | ||||
\(3\) | 2.35114 | 0.783714 | 0.391857 | − | 0.920026i | \(-0.371833\pi\) | ||||
0.391857 | + | 0.920026i | \(0.371833\pi\) | |||||||
\(4\) | 3.23607 | − | 2.35114i | 0.809017 | − | 0.587785i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 4.47214 | − | 1.45309i | 0.745356 | − | 0.242181i | ||||
\(7\) | −5.25731 | −0.751044 | −0.375522 | − | 0.926813i | \(-0.622537\pi\) | ||||
−0.375522 | + | 0.926813i | \(0.622537\pi\) | |||||||
\(8\) | 4.70228 | − | 6.47214i | 0.587785 | − | 0.809017i | ||||
\(9\) | −3.47214 | −0.385793 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 19.9192i | 1.81084i | 0.424522 | + | 0.905418i | \(0.360442\pi\) | ||||
−0.424522 | + | 0.905418i | \(0.639558\pi\) | |||||||
\(12\) | 7.60845 | − | 5.52786i | 0.634038 | − | 0.460655i | ||||
\(13\) | − | 8.47214i | − | 0.651703i | −0.945421 | − | 0.325851i | \(-0.894349\pi\) | ||
0.945421 | − | 0.325851i | \(-0.105651\pi\) | |||||||
\(14\) | −10.0000 | + | 3.24920i | −0.714286 | + | 0.232085i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.94427 | − | 15.2169i | 0.309017 | − | 0.951057i | ||||
\(17\) | − | 11.8885i | − | 0.699326i | −0.936876 | − | 0.349663i | \(-0.886296\pi\) | ||
0.936876 | − | 0.349663i | \(-0.113704\pi\) | |||||||
\(18\) | −6.60440 | + | 2.14590i | −0.366911 | + | 0.119217i | ||||
\(19\) | 15.2169i | 0.800890i | 0.916321 | + | 0.400445i | \(0.131144\pi\) | ||||
−0.916321 | + | 0.400445i | \(0.868856\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −12.3607 | −0.588604 | ||||||||
\(22\) | 12.3107 | + | 37.8885i | 0.559579 | + | 1.72221i | ||||
\(23\) | 0.555029 | 0.0241317 | 0.0120659 | − | 0.999927i | \(-0.496159\pi\) | ||||
0.0120659 | + | 0.999927i | \(0.496159\pi\) | |||||||
\(24\) | 11.0557 | − | 15.2169i | 0.460655 | − | 0.634038i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −5.23607 | − | 16.1150i | −0.201387 | − | 0.619806i | ||||
\(27\) | −29.3238 | −1.08606 | ||||||||
\(28\) | −17.0130 | + | 12.3607i | −0.607608 | + | 0.441453i | ||||
\(29\) | 10.9443 | 0.377389 | 0.188694 | − | 0.982036i | \(-0.439574\pi\) | ||||
0.188694 | + | 0.982036i | \(0.439574\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 8.29451i | − | 0.267565i | −0.991011 | − | 0.133782i | \(-0.957288\pi\) | ||
0.991011 | − | 0.133782i | \(-0.0427123\pi\) | |||||||
\(32\) | − | 32.0000i | − | 1.00000i | ||||||
\(33\) | 46.8328i | 1.41918i | ||||||||
\(34\) | −7.34752 | − | 22.6134i | −0.216104 | − | 0.665099i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −11.2361 | + | 8.16348i | −0.312113 | + | 0.226763i | ||||
\(37\) | 18.3607i | 0.496235i | 0.968730 | + | 0.248117i | \(0.0798118\pi\) | ||||
−0.968730 | + | 0.248117i | \(0.920188\pi\) | |||||||
\(38\) | 9.40456 | + | 28.9443i | 0.247489 | + | 0.761691i | ||||
\(39\) | − | 19.9192i | − | 0.510748i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −14.5836 | −0.355697 | −0.177849 | − | 0.984058i | \(-0.556914\pi\) | ||||
−0.177849 | + | 0.984058i | \(0.556914\pi\) | |||||||
\(42\) | −23.5114 | + | 7.63932i | −0.559795 | + | 0.181889i | ||||
\(43\) | −22.2703 | −0.517915 | −0.258957 | − | 0.965889i | \(-0.583379\pi\) | ||||
−0.258957 | + | 0.965889i | \(0.583379\pi\) | |||||||
\(44\) | 46.8328 | + | 64.4598i | 1.06438 | + | 1.46500i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.05573 | − | 0.343027i | 0.0229506 | − | 0.00745711i | ||||
\(47\) | 53.3902 | 1.13596 | 0.567981 | − | 0.823042i | \(-0.307725\pi\) | ||||
0.567981 | + | 0.823042i | \(0.307725\pi\) | |||||||
\(48\) | 11.6247 | − | 35.7771i | 0.242181 | − | 0.745356i | ||||
\(49\) | −21.3607 | −0.435932 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 27.9516i | − | 0.548071i | ||||||
\(52\) | −19.9192 | − | 27.4164i | −0.383061 | − | 0.527239i | ||||
\(53\) | − | 66.3607i | − | 1.25209i | −0.779788 | − | 0.626044i | \(-0.784673\pi\) | ||
0.779788 | − | 0.626044i | \(-0.215327\pi\) | |||||||
\(54\) | −55.7771 | + | 18.1231i | −1.03291 | + | 0.335612i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −24.7214 | + | 34.0260i | −0.441453 | + | 0.607608i | ||||
\(57\) | 35.7771i | 0.627668i | ||||||||
\(58\) | 20.8172 | − | 6.76393i | 0.358918 | − | 0.116620i | ||||
\(59\) | − | 17.4370i | − | 0.295543i | −0.989022 | − | 0.147771i | \(-0.952790\pi\) | ||
0.989022 | − | 0.147771i | \(-0.0472100\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 90.1378 | 1.47767 | 0.738834 | − | 0.673887i | \(-0.235377\pi\) | ||||
0.738834 | + | 0.673887i | \(0.235377\pi\) | |||||||
\(62\) | −5.12629 | − | 15.7771i | −0.0826820 | − | 0.254469i | ||||
\(63\) | 18.2541 | 0.289748 | ||||||||
\(64\) | −19.7771 | − | 60.8676i | −0.309017 | − | 0.951057i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 28.9443 | + | 89.0813i | 0.438550 | + | 1.34972i | ||||
\(67\) | 50.2220 | 0.749582 | 0.374791 | − | 0.927109i | \(-0.377715\pi\) | ||||
0.374791 | + | 0.927109i | \(0.377715\pi\) | |||||||
\(68\) | −27.9516 | − | 38.4721i | −0.411054 | − | 0.565767i | ||||
\(69\) | 1.30495 | 0.0189123 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 80.7868i | − | 1.13784i | −0.822392 | − | 0.568921i | \(-0.807361\pi\) | ||
0.822392 | − | 0.568921i | \(-0.192639\pi\) | |||||||
\(72\) | −16.3270 | + | 22.4721i | −0.226763 | + | 0.312113i | ||||
\(73\) | − | 5.55418i | − | 0.0760846i | −0.999276 | − | 0.0380423i | \(-0.987888\pi\) | ||
0.999276 | − | 0.0380423i | \(-0.0121122\pi\) | |||||||
\(74\) | 11.3475 | + | 34.9241i | 0.153345 | + | 0.471947i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 35.7771 | + | 49.2429i | 0.470751 | + | 0.647933i | ||||
\(77\) | − | 104.721i | − | 1.36002i | ||||||
\(78\) | −12.3107 | − | 37.8885i | −0.157830 | − | 0.485751i | ||||
\(79\) | 13.8448i | 0.175251i | 0.996154 | + | 0.0876253i | \(0.0279278\pi\) | ||||
−0.996154 | + | 0.0876253i | \(0.972072\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −37.6950 | −0.465371 | ||||||||
\(82\) | −27.7396 | + | 9.01316i | −0.338288 | + | 0.109917i | ||||
\(83\) | 76.2155 | 0.918260 | 0.459130 | − | 0.888369i | \(-0.348161\pi\) | ||||
0.459130 | + | 0.888369i | \(0.348161\pi\) | |||||||
\(84\) | −40.0000 | + | 29.0617i | −0.476190 | + | 0.345973i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −42.3607 | + | 13.7638i | −0.492566 | + | 0.160044i | ||||
\(87\) | 25.7315 | 0.295765 | ||||||||
\(88\) | 128.920 | + | 93.6656i | 1.46500 | + | 1.06438i | ||||
\(89\) | 111.443 | 1.25217 | 0.626083 | − | 0.779757i | \(-0.284657\pi\) | ||||
0.626083 | + | 0.779757i | \(0.284657\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 44.5407i | 0.489458i | ||||||||
\(92\) | 1.79611 | − | 1.30495i | 0.0195230 | − | 0.0141843i | ||||
\(93\) | − | 19.5016i | − | 0.209694i | ||||||
\(94\) | 101.554 | − | 32.9970i | 1.08036 | − | 0.351031i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | − | 75.2365i | − | 0.783714i | ||||||
\(97\) | 92.8328i | 0.957039i | 0.878077 | + | 0.478520i | \(0.158826\pi\) | ||||
−0.878077 | + | 0.478520i | \(0.841174\pi\) | |||||||
\(98\) | −40.6304 | + | 13.2016i | −0.414596 | + | 0.134710i | ||||
\(99\) | − | 69.1621i | − | 0.698607i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 64.1115 | 0.634767 | 0.317383 | − | 0.948297i | \(-0.397196\pi\) | ||||
0.317383 | + | 0.948297i | \(0.397196\pi\) | |||||||
\(102\) | −17.2751 | − | 53.1672i | −0.169363 | − | 0.521247i | ||||
\(103\) | −137.769 | −1.33757 | −0.668783 | − | 0.743458i | \(-0.733184\pi\) | ||||
−0.668783 | + | 0.743458i | \(0.733184\pi\) | |||||||
\(104\) | −54.8328 | − | 39.8384i | −0.527239 | − | 0.383061i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −41.0132 | − | 126.226i | −0.386917 | − | 1.19081i | ||||
\(107\) | −51.3320 | −0.479739 | −0.239869 | − | 0.970805i | \(-0.577105\pi\) | ||||
−0.239869 | + | 0.970805i | \(0.577105\pi\) | |||||||
\(108\) | −94.8936 | + | 68.9443i | −0.878645 | + | 0.638373i | ||||
\(109\) | −133.469 | −1.22449 | −0.612243 | − | 0.790669i | \(-0.709733\pi\) | ||||
−0.612243 | + | 0.790669i | \(0.709733\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 43.1685i | 0.388906i | ||||||||
\(112\) | −25.9936 | + | 80.0000i | −0.232085 | + | 0.714286i | ||||
\(113\) | 170.721i | 1.51081i | 0.655259 | + | 0.755404i | \(0.272559\pi\) | ||||
−0.655259 | + | 0.755404i | \(0.727441\pi\) | |||||||
\(114\) | 22.1115 | + | 68.0521i | 0.193960 | + | 0.596948i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 35.4164 | − | 25.7315i | 0.305314 | − | 0.221824i | ||||
\(117\) | 29.4164i | 0.251422i | ||||||||
\(118\) | −10.7767 | − | 33.1672i | −0.0913277 | − | 0.281078i | ||||
\(119\) | 62.5018i | 0.525225i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −275.774 | −2.27912 | ||||||||
\(122\) | 171.452 | − | 55.7082i | 1.40535 | − | 0.456625i | ||||
\(123\) | −34.2881 | −0.278765 | ||||||||
\(124\) | −19.5016 | − | 26.8416i | −0.157271 | − | 0.216464i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 34.7214 | − | 11.2817i | 0.275566 | − | 0.0895369i | ||||
\(127\) | −198.637 | −1.56407 | −0.782035 | − | 0.623235i | \(-0.785818\pi\) | ||||
−0.782035 | + | 0.623235i | \(0.785818\pi\) | |||||||
\(128\) | −75.2365 | − | 103.554i | −0.587785 | − | 0.809017i | ||||
\(129\) | −52.3607 | −0.405897 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.77041i | 0.0593161i | 0.999560 | + | 0.0296580i | \(0.00944183\pi\) | ||||
−0.999560 | + | 0.0296580i | \(0.990558\pi\) | |||||||
\(132\) | 110.111 | + | 151.554i | 0.834171 | + | 1.14814i | ||||
\(133\) | − | 80.0000i | − | 0.601504i | ||||||
\(134\) | 95.5279 | − | 31.0389i | 0.712895 | − | 0.231633i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −76.9443 | − | 55.9033i | −0.565767 | − | 0.411054i | ||||
\(137\) | − | 0.832816i | − | 0.00607895i | −0.999995 | − | 0.00303947i | \(-0.999033\pi\) | ||
0.999995 | − | 0.00303947i | \(-0.000967496\pi\) | |||||||
\(138\) | 2.48217 | − | 0.806504i | 0.0179867 | − | 0.00584424i | ||||
\(139\) | 237.658i | 1.70977i | 0.518817 | + | 0.854885i | \(0.326373\pi\) | ||||
−0.518817 | + | 0.854885i | \(0.673627\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 125.528 | 0.890269 | ||||||||
\(142\) | −49.9290 | − | 153.666i | −0.351613 | − | 1.08215i | ||||
\(143\) | 168.758 | 1.18013 | ||||||||
\(144\) | −17.1672 | + | 52.8352i | −0.119217 | + | 0.366911i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −3.43267 | − | 10.5647i | −0.0235114 | − | 0.0723607i | ||||
\(147\) | −50.2220 | −0.341646 | ||||||||
\(148\) | 43.1685 | + | 59.4164i | 0.291679 | + | 0.401462i | ||||
\(149\) | 36.9706 | 0.248125 | 0.124062 | − | 0.992274i | \(-0.460408\pi\) | ||||
0.124062 | + | 0.992274i | \(0.460408\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 282.723i | 1.87234i | 0.351552 | + | 0.936168i | \(0.385654\pi\) | ||||
−0.351552 | + | 0.936168i | \(0.614346\pi\) | |||||||
\(152\) | 98.4859 | + | 71.5542i | 0.647933 | + | 0.470751i | ||||
\(153\) | 41.2786i | 0.269795i | ||||||||
\(154\) | −64.7214 | − | 199.192i | −0.420269 | − | 1.29345i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −46.8328 | − | 64.4598i | −0.300210 | − | 0.413204i | ||||
\(157\) | − | 204.748i | − | 1.30413i | −0.758165 | − | 0.652063i | \(-0.773904\pi\) | ||
0.758165 | − | 0.652063i | \(-0.226096\pi\) | |||||||
\(158\) | 8.55656 | + | 26.3344i | 0.0541554 | + | 0.166673i | ||||
\(159\) | − | 156.023i | − | 0.981279i | ||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.91796 | −0.0181240 | ||||||||
\(162\) | −71.7002 | + | 23.2968i | −0.442594 | + | 0.143808i | ||||
\(163\) | −107.235 | −0.657885 | −0.328943 | − | 0.944350i | \(-0.606692\pi\) | ||||
−0.328943 | + | 0.944350i | \(0.606692\pi\) | |||||||
\(164\) | −47.1935 | + | 34.2881i | −0.287765 | + | 0.209074i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 144.971 | − | 47.1038i | 0.873317 | − | 0.283758i | ||||
\(167\) | 33.2090 | 0.198856 | 0.0994280 | − | 0.995045i | \(-0.468299\pi\) | ||||
0.0994280 | + | 0.995045i | \(0.468299\pi\) | |||||||
\(168\) | −58.1234 | + | 80.0000i | −0.345973 | + | 0.476190i | ||||
\(169\) | 97.2229 | 0.575284 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 52.8352i | − | 0.308978i | ||||||
\(172\) | −72.0683 | + | 52.3607i | −0.419002 | + | 0.304423i | ||||
\(173\) | − | 226.361i | − | 1.30844i | −0.756303 | − | 0.654222i | \(-0.772996\pi\) | ||
0.756303 | − | 0.654222i | \(-0.227004\pi\) | |||||||
\(174\) | 48.9443 | − | 15.9030i | 0.281289 | − | 0.0913963i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 303.108 | + | 98.4859i | 1.72221 | + | 0.559579i | ||||
\(177\) | − | 40.9969i | − | 0.231621i | ||||||
\(178\) | 211.977 | − | 68.8754i | 1.19088 | − | 0.386940i | ||||
\(179\) | − | 224.337i | − | 1.25328i | −0.779308 | − | 0.626641i | \(-0.784429\pi\) | ||
0.779308 | − | 0.626641i | \(-0.215571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 86.2229 | 0.476370 | 0.238185 | − | 0.971220i | \(-0.423448\pi\) | ||||
0.238185 | + | 0.971220i | \(0.423448\pi\) | |||||||
\(182\) | 27.5276 | + | 84.7214i | 0.151251 | + | 0.465502i | ||||
\(183\) | 211.927 | 1.15807 | ||||||||
\(184\) | 2.60990 | − | 3.59222i | 0.0141843 | − | 0.0195230i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −12.0526 | − | 37.0942i | −0.0647990 | − | 0.199431i | ||||
\(187\) | 236.810 | 1.26636 | ||||||||
\(188\) | 172.774 | − | 125.528i | 0.919012 | − | 0.667701i | ||||
\(189\) | 154.164 | 0.815683 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 31.0198i | − | 0.162407i | −0.996698 | − | 0.0812036i | \(-0.974124\pi\) | ||
0.996698 | − | 0.0812036i | \(-0.0258764\pi\) | |||||||
\(192\) | −46.4987 | − | 143.108i | −0.242181 | − | 0.745356i | ||||
\(193\) | 110.223i | 0.571103i | 0.958363 | + | 0.285552i | \(0.0921768\pi\) | ||||
−0.958363 | + | 0.285552i | \(0.907823\pi\) | |||||||
\(194\) | 57.3738 | + | 176.579i | 0.295741 | + | 0.910198i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −69.1246 | + | 50.2220i | −0.352677 | + | 0.256235i | ||||
\(197\) | 172.525i | 0.875760i | 0.899033 | + | 0.437880i | \(0.144271\pi\) | ||||
−0.899033 | + | 0.437880i | \(0.855729\pi\) | |||||||
\(198\) | −42.7445 | − | 131.554i | −0.215882 | − | 0.664415i | ||||
\(199\) | 272.208i | 1.36788i | 0.729538 | + | 0.683940i | \(0.239735\pi\) | ||||
−0.729538 | + | 0.683940i | \(0.760265\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 118.079 | 0.587457 | ||||||||
\(202\) | 121.947 | − | 39.6231i | 0.603699 | − | 0.196154i | ||||
\(203\) | −57.5374 | −0.283436 | ||||||||
\(204\) | −65.7183 | − | 90.4534i | −0.322148 | − | 0.443399i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −262.053 | + | 85.1461i | −1.27210 | + | 0.413330i | ||||
\(207\) | −1.92714 | −0.00930984 | ||||||||
\(208\) | −128.920 | − | 41.8885i | −0.619806 | − | 0.201387i | ||||
\(209\) | −303.108 | −1.45028 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 205.266i | − | 0.972826i | −0.873729 | − | 0.486413i | \(-0.838305\pi\) | ||
0.873729 | − | 0.486413i | \(-0.161695\pi\) | |||||||
\(212\) | −156.023 | − | 214.748i | −0.735959 | − | 1.01296i | ||||
\(213\) | − | 189.941i | − | 0.891743i | ||||||
\(214\) | −97.6393 | + | 31.7249i | −0.456259 | + | 0.148247i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −137.889 | + | 189.787i | −0.638373 | + | 0.878645i | ||||
\(217\) | 43.6068i | 0.200953i | ||||||||
\(218\) | −253.873 | + | 82.4884i | −1.16456 | + | 0.378387i | ||||
\(219\) | − | 13.0586i | − | 0.0596285i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −100.721 | −0.455753 | ||||||||
\(222\) | 26.6796 | + | 82.1115i | 0.120179 | + | 0.369871i | ||||
\(223\) | −235.731 | −1.05709 | −0.528545 | − | 0.848905i | \(-0.677262\pi\) | ||||
−0.528545 | + | 0.848905i | \(0.677262\pi\) | |||||||
\(224\) | 168.234i | 0.751044i | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 105.512 | + | 324.731i | 0.466865 | + | 1.43686i | ||||
\(227\) | −58.5165 | −0.257782 | −0.128891 | − | 0.991659i | \(-0.541142\pi\) | ||||
−0.128891 | + | 0.991659i | \(0.541142\pi\) | |||||||
\(228\) | 84.1170 | + | 115.777i | 0.368934 | + | 0.507794i | ||||
\(229\) | −162.721 | −0.710574 | −0.355287 | − | 0.934757i | \(-0.615617\pi\) | ||||
−0.355287 | + | 0.934757i | \(0.615617\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | − | 246.215i | − | 1.06586i | ||||||
\(232\) | 51.4631 | − | 70.8328i | 0.221824 | − | 0.305314i | ||||
\(233\) | 319.050i | 1.36931i | 0.728867 | + | 0.684656i | \(0.240047\pi\) | ||||
−0.728867 | + | 0.684656i | \(0.759953\pi\) | |||||||
\(234\) | 18.1803 | + | 55.9533i | 0.0776938 | + | 0.239117i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −40.9969 | − | 56.4274i | −0.173716 | − | 0.239099i | ||||
\(237\) | 32.5511i | 0.137346i | ||||||||
\(238\) | 38.6282 | + | 118.885i | 0.162303 | + | 0.499519i | ||||
\(239\) | − | 236.810i | − | 0.990837i | −0.868654 | − | 0.495419i | \(-0.835015\pi\) | ||
0.868654 | − | 0.495419i | \(-0.164985\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.917961 | −0.00380897 | −0.00190448 | − | 0.999998i | \(-0.500606\pi\) | ||||
−0.00190448 | + | 0.999998i | \(0.500606\pi\) | |||||||
\(242\) | −524.553 | + | 170.438i | −2.16758 | + | 0.704288i | ||||
\(243\) | 175.287 | 0.721347 | ||||||||
\(244\) | 291.692 | − | 211.927i | 1.19546 | − | 0.868552i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −65.2198 | + | 21.1912i | −0.265121 | + | 0.0861431i | ||||
\(247\) | 128.920 | 0.521942 | ||||||||
\(248\) | −53.6832 | − | 39.0031i | −0.216464 | − | 0.157271i | ||||
\(249\) | 179.193 | 0.719653 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 136.690i | − | 0.544582i | −0.962215 | − | 0.272291i | \(-0.912219\pi\) | ||
0.962215 | − | 0.272291i | \(-0.0877813\pi\) | |||||||
\(252\) | 59.0715 | − | 42.9180i | 0.234411 | − | 0.170309i | ||||
\(253\) | 11.0557i | 0.0436985i | ||||||||
\(254\) | −377.830 | + | 122.764i | −1.48752 | + | 0.483324i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −207.108 | − | 150.473i | −0.809017 | − | 0.587785i | ||||
\(257\) | 274.944i | 1.06982i | 0.844908 | + | 0.534911i | \(0.179655\pi\) | ||||
−0.844908 | + | 0.534911i | \(0.820345\pi\) | |||||||
\(258\) | −99.5959 | + | 32.3607i | −0.386031 | + | 0.125429i | ||||
\(259\) | − | 96.5278i | − | 0.372694i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −38.0000 | −0.145594 | ||||||||
\(262\) | 4.80238 | + | 14.7802i | 0.0183297 | + | 0.0564130i | ||||
\(263\) | −406.385 | −1.54519 | −0.772596 | − | 0.634899i | \(-0.781042\pi\) | ||||
−0.772596 | + | 0.634899i | \(0.781042\pi\) | |||||||
\(264\) | 303.108 | + | 220.221i | 1.14814 | + | 0.834171i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −49.4427 | − | 152.169i | −0.185875 | − | 0.572064i | ||||
\(267\) | 262.018 | 0.981339 | ||||||||
\(268\) | 162.522 | − | 118.079i | 0.606424 | − | 0.440593i | ||||
\(269\) | 348.525 | 1.29563 | 0.647816 | − | 0.761797i | \(-0.275683\pi\) | ||||
0.647816 | + | 0.761797i | \(0.275683\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 247.849i | − | 0.914571i | −0.889320 | − | 0.457286i | \(-0.848822\pi\) | ||
0.889320 | − | 0.457286i | \(-0.151178\pi\) | |||||||
\(272\) | −180.907 | − | 58.7802i | −0.665099 | − | 0.216104i | ||||
\(273\) | 104.721i | 0.383595i | ||||||||
\(274\) | −0.514708 | − | 1.58411i | −0.00187850 | − | 0.00578142i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 4.22291 | − | 3.06813i | 0.0153004 | − | 0.0111164i | ||||
\(277\) | 54.7539i | 0.197667i | 0.995104 | + | 0.0988337i | \(0.0315112\pi\) | ||||
−0.995104 | + | 0.0988337i | \(0.968489\pi\) | |||||||
\(278\) | 146.881 | + | 452.053i | 0.528348 | + | 1.62609i | ||||
\(279\) | 28.7997i | 0.103225i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −50.3607 | −0.179220 | −0.0896098 | − | 0.995977i | \(-0.528562\pi\) | ||||
−0.0896098 | + | 0.995977i | \(0.528562\pi\) | |||||||
\(282\) | 238.768 | − | 77.5805i | 0.846696 | − | 0.275108i | ||||
\(283\) | 147.336 | 0.520621 | 0.260310 | − | 0.965525i | \(-0.416175\pi\) | ||||
0.260310 | + | 0.965525i | \(0.416175\pi\) | |||||||
\(284\) | −189.941 | − | 261.432i | −0.668807 | − | 0.920534i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 320.997 | − | 104.298i | 1.12237 | − | 0.364679i | ||||
\(287\) | 76.6705 | 0.267145 | ||||||||
\(288\) | 111.108i | 0.385793i | ||||||||
\(289\) | 147.663 | 0.510943 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 218.263i | 0.750045i | ||||||||
\(292\) | −13.0586 | − | 17.9737i | −0.0447214 | − | 0.0615537i | ||||
\(293\) | 178.859i | 0.610441i | 0.952282 | + | 0.305220i | \(0.0987301\pi\) | ||||
−0.952282 | + | 0.305220i | \(0.901270\pi\) | |||||||
\(294\) | −95.5279 | + | 31.0389i | −0.324925 | + | 0.105574i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 118.833 | + | 86.3371i | 0.401462 | + | 0.291679i | ||||
\(297\) | − | 584.105i | − | 1.96668i | ||||||
\(298\) | 70.3222 | − | 22.8491i | 0.235981 | − | 0.0766748i | ||||
\(299\) | − | 4.70228i | − | 0.0157267i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 117.082 | 0.388977 | ||||||||
\(302\) | 174.732 | + | 537.771i | 0.578584 | + | 1.78070i | ||||
\(303\) | 150.735 | 0.497475 | ||||||||
\(304\) | 231.554 | + | 75.2365i | 0.761691 | + | 0.247489i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 25.5116 | + | 78.5166i | 0.0833713 | + | 0.256590i | ||||
\(307\) | −284.550 | −0.926873 | −0.463436 | − | 0.886130i | \(-0.653384\pi\) | ||||
−0.463436 | + | 0.886130i | \(0.653384\pi\) | |||||||
\(308\) | −246.215 | − | 338.885i | −0.799398 | − | 1.10028i | ||||
\(309\) | −323.915 | −1.04827 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 282.199i | 0.907392i | 0.891157 | + | 0.453696i | \(0.149895\pi\) | ||||
−0.891157 | + | 0.453696i | \(0.850105\pi\) | |||||||
\(312\) | −128.920 | − | 93.6656i | −0.413204 | − | 0.300210i | ||||
\(313\) | − | 567.548i | − | 1.81325i | −0.421935 | − | 0.906626i | \(-0.638649\pi\) | ||
0.421935 | − | 0.906626i | \(-0.361351\pi\) | |||||||
\(314\) | −126.541 | − | 389.453i | −0.402997 | − | 1.24030i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 32.5511 | + | 44.8027i | 0.103010 | + | 0.141781i | ||||
\(317\) | − | 161.141i | − | 0.508331i | −0.967161 | − | 0.254165i | \(-0.918199\pi\) | ||
0.967161 | − | 0.254165i | \(-0.0818008\pi\) | |||||||
\(318\) | −96.4277 | − | 296.774i | −0.303232 | − | 0.933252i | ||||
\(319\) | 218.001i | 0.683389i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −120.689 | −0.375978 | ||||||||
\(322\) | −5.55029 | + | 1.80340i | −0.0172369 | + | 0.00560062i | ||||
\(323\) | 180.907 | 0.560083 | ||||||||
\(324\) | −121.984 | + | 88.6264i | −0.376493 | + | 0.273538i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −203.974 | + | 66.2751i | −0.625686 | + | 0.203298i | ||||
\(327\) | −313.805 | −0.959647 | ||||||||
\(328\) | −68.5762 | + | 94.3870i | −0.209074 | + | 0.287765i | ||||
\(329\) | −280.689 | −0.853158 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 331.966i | 1.00292i | 0.865181 | + | 0.501459i | \(0.167203\pi\) | ||||
−0.865181 | + | 0.501459i | \(0.832797\pi\) | |||||||
\(332\) | 246.639 | − | 179.193i | 0.742888 | − | 0.539739i | ||||
\(333\) | − | 63.7508i | − | 0.191444i | ||||||
\(334\) | 63.1672 | − | 20.5243i | 0.189123 | − | 0.0614499i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −61.1146 | + | 188.091i | −0.181889 | + | 0.559795i | ||||
\(337\) | 269.108i | 0.798541i | 0.916833 | + | 0.399271i | \(0.130737\pi\) | ||||
−0.916833 | + | 0.399271i | \(0.869263\pi\) | |||||||
\(338\) | 184.929 | − | 60.0871i | 0.547127 | − | 0.177772i | ||||
\(339\) | 401.390i | 1.18404i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 165.220 | 0.484516 | ||||||||
\(342\) | −32.6539 | − | 100.498i | −0.0954793 | − | 0.293855i | ||||
\(343\) | 369.908 | 1.07845 | ||||||||
\(344\) | −104.721 | + | 144.137i | −0.304423 | + | 0.419002i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −139.899 | − | 430.564i | −0.404331 | − | 1.24440i | ||||
\(347\) | −503.075 | −1.44978 | −0.724892 | − | 0.688863i | \(-0.758110\pi\) | ||||
−0.724892 | + | 0.688863i | \(0.758110\pi\) | |||||||
\(348\) | 83.2690 | − | 60.4984i | 0.239279 | − | 0.173846i | ||||
\(349\) | 0.504658 | 0.00144601 | 0.000723006 | − | 1.00000i | \(-0.499770\pi\) | ||||
0.000723006 | 1.00000i | \(0.499770\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 248.435i | 0.707791i | ||||||||
\(352\) | 637.414 | 1.81084 | ||||||||
\(353\) | − | 335.994i | − | 0.951824i | −0.879493 | − | 0.475912i | \(-0.842118\pi\) | ||
0.879493 | − | 0.475912i | \(-0.157882\pi\) | |||||||
\(354\) | −25.3375 | − | 77.9807i | −0.0715748 | − | 0.220285i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 360.636 | − | 262.018i | 1.01302 | − | 0.736004i | ||||
\(357\) | 146.950i | 0.411626i | ||||||||
\(358\) | −138.648 | − | 426.715i | −0.387285 | − | 1.19194i | ||||
\(359\) | − | 98.4859i | − | 0.274334i | −0.990548 | − | 0.137167i | \(-0.956200\pi\) | ||
0.990548 | − | 0.137167i | \(-0.0437997\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 129.446 | 0.358576 | ||||||||
\(362\) | 164.006 | − | 53.2887i | 0.453054 | − | 0.147206i | ||||
\(363\) | −648.384 | −1.78618 | ||||||||
\(364\) | 104.721 | + | 144.137i | 0.287696 | + | 0.395980i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 403.108 | − | 130.978i | 1.10139 | − | 0.357863i | ||||
\(367\) | 498.473 | 1.35824 | 0.679118 | − | 0.734029i | \(-0.262362\pi\) | ||||
0.679118 | + | 0.734029i | \(0.262362\pi\) | |||||||
\(368\) | 2.74421 | − | 8.44582i | 0.00745711 | − | 0.0229506i | ||||
\(369\) | 50.6362 | 0.137226 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 348.879i | 0.940374i | ||||||||
\(372\) | −45.8509 | − | 63.1084i | −0.123255 | − | 0.169646i | ||||
\(373\) | 600.354i | 1.60953i | 0.593594 | + | 0.804765i | \(0.297709\pi\) | ||||
−0.593594 | + | 0.804765i | \(0.702291\pi\) | |||||||
\(374\) | 450.440 | − | 146.357i | 1.20438 | − | 0.391328i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 251.056 | − | 345.549i | 0.667701 | − | 0.919012i | ||||
\(377\) | − | 92.7214i | − | 0.245945i | ||||||
\(378\) | 293.238 | − | 95.2786i | 0.775761 | − | 0.252060i | ||||
\(379\) | − | 303.490i | − | 0.800765i | −0.916348 | − | 0.400383i | \(-0.868877\pi\) | ||
0.916348 | − | 0.400383i | \(-0.131123\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −467.023 | −1.22578 | ||||||||
\(382\) | −19.1713 | − | 59.0031i | −0.0501866 | − | 0.154458i | ||||
\(383\) | 332.583 | 0.868362 | 0.434181 | − | 0.900826i | \(-0.357038\pi\) | ||||
0.434181 | + | 0.900826i | \(0.357038\pi\) | |||||||
\(384\) | −176.892 | − | 243.470i | −0.460655 | − | 0.634038i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 68.1215 | + | 209.656i | 0.176481 | + | 0.543151i | ||||
\(387\) | 77.3256 | 0.199808 | ||||||||
\(388\) | 218.263 | + | 300.413i | 0.562534 | + | 0.774261i | ||||
\(389\) | −392.354 | −1.00862 | −0.504312 | − | 0.863522i | \(-0.668254\pi\) | ||||
−0.504312 | + | 0.863522i | \(0.668254\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 6.59849i | − | 0.0168759i | ||||||
\(392\) | −100.444 | + | 138.249i | −0.256235 | + | 0.352677i | ||||
\(393\) | 18.2693i | 0.0464868i | ||||||||
\(394\) | 106.626 | + | 328.162i | 0.270625 | + | 0.832897i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −162.610 | − | 223.813i | −0.410631 | − | 0.565185i | ||||
\(397\) | − | 334.190i | − | 0.841789i | −0.907110 | − | 0.420895i | \(-0.861716\pi\) | ||
0.907110 | − | 0.420895i | \(-0.138284\pi\) | |||||||
\(398\) | 168.234 | + | 517.771i | 0.422698 | + | 1.30093i | ||||
\(399\) | − | 188.091i | − | 0.471407i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 121.003 | 0.301753 | 0.150877 | − | 0.988553i | \(-0.451790\pi\) | ||||
0.150877 | + | 0.988553i | \(0.451790\pi\) | |||||||
\(402\) | 224.599 | − | 72.9768i | 0.558705 | − | 0.181534i | ||||
\(403\) | −70.2722 | −0.174373 | ||||||||
\(404\) | 207.469 | − | 150.735i | 0.513537 | − | 0.373107i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −109.443 | + | 35.5601i | −0.269563 | + | 0.0875864i | ||||
\(407\) | −365.730 | −0.898599 | ||||||||
\(408\) | −180.907 | − | 131.437i | −0.443399 | − | 0.322148i | ||||
\(409\) | 607.410 | 1.48511 | 0.742555 | − | 0.669785i | \(-0.233614\pi\) | ||||
0.742555 | + | 0.669785i | \(0.233614\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.95807i | − | 0.00476415i | ||||||
\(412\) | −445.831 | + | 323.915i | −1.08211 | + | 0.786201i | ||||
\(413\) | 91.6718i | 0.221966i | ||||||||
\(414\) | −3.66563 | + | 1.19104i | −0.00885418 | + | 0.00287690i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −271.108 | −0.651703 | ||||||||
\(417\) | 558.768i | 1.33997i | ||||||||
\(418\) | −576.546 | + | 187.331i | −1.37930 | + | 0.448161i | ||||
\(419\) | 466.760i | 1.11398i | 0.830518 | + | 0.556992i | \(0.188045\pi\) | ||||
−0.830518 | + | 0.556992i | \(0.811955\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −73.0883 | −0.173606 | −0.0868031 | − | 0.996225i | \(-0.527665\pi\) | ||||
−0.0868031 | + | 0.996225i | \(0.527665\pi\) | |||||||
\(422\) | −126.862 | − | 390.440i | −0.300620 | − | 0.925212i | ||||
\(423\) | −185.378 | −0.438246 | ||||||||
\(424\) | −429.495 | − | 312.047i | −1.01296 | − | 0.735959i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −117.390 | − | 361.290i | −0.275564 | − | 0.848098i | ||||
\(427\) | −473.882 | −1.10979 | ||||||||
\(428\) | −166.114 | + | 120.689i | −0.388117 | + | 0.281983i | ||||
\(429\) | 396.774 | 0.924881 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 463.630i | − | 1.07571i | −0.843038 | − | 0.537853i | \(-0.819235\pi\) | ||
0.843038 | − | 0.537853i | \(-0.180765\pi\) | |||||||
\(432\) | −144.985 | + | 446.217i | −0.335612 | + | 1.03291i | ||||
\(433\) | − | 99.8359i | − | 0.230568i | −0.993333 | − | 0.115284i | \(-0.963222\pi\) | ||
0.993333 | − | 0.115284i | \(-0.0367778\pi\) | |||||||
\(434\) | 26.9505 | + | 82.9451i | 0.0620979 | + | 0.191118i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −431.915 | + | 313.805i | −0.990630 | + | 0.719735i | ||||
\(437\) | 8.44582i | 0.0193268i | ||||||||
\(438\) | −8.07069 | − | 24.8390i | −0.0184262 | − | 0.0567101i | ||||
\(439\) | − | 374.086i | − | 0.852133i | −0.904692 | − | 0.426066i | \(-0.859899\pi\) | ||
0.904692 | − | 0.426066i | \(-0.140101\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 74.1672 | 0.168180 | ||||||||
\(442\) | −191.583 | + | 62.2492i | −0.433447 | + | 0.140835i | ||||
\(443\) | 290.100 | 0.654854 | 0.327427 | − | 0.944877i | \(-0.393818\pi\) | ||||
0.327427 | + | 0.944877i | \(0.393818\pi\) | |||||||
\(444\) | 101.495 | + | 139.696i | 0.228593 | + | 0.314631i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −448.387 | + | 145.690i | −1.00535 | + | 0.326659i | ||||
\(447\) | 86.9231 | 0.194459 | ||||||||
\(448\) | 103.974 | + | 320.000i | 0.232085 | + | 0.714286i | ||||
\(449\) | −299.921 | −0.667976 | −0.333988 | − | 0.942577i | \(-0.608394\pi\) | ||||
−0.333988 | + | 0.942577i | \(0.608394\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 290.493i | − | 0.644109i | ||||||
\(452\) | 401.390 | + | 552.466i | 0.888031 | + | 1.22227i | ||||
\(453\) | 664.721i | 1.46738i | ||||||||
\(454\) | −111.305 | + | 36.1652i | −0.245165 | + | 0.0796590i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 231.554 | + | 168.234i | 0.507794 | + | 0.368934i | ||||
\(457\) | − | 822.328i | − | 1.79941i | −0.436503 | − | 0.899703i | \(-0.643783\pi\) | ||
0.436503 | − | 0.899703i | \(-0.356217\pi\) | |||||||
\(458\) | −309.514 | + | 100.567i | −0.675796 | + | 0.219579i | ||||
\(459\) | 348.617i | 0.759513i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −456.885 | −0.991075 | −0.495537 | − | 0.868587i | \(-0.665029\pi\) | ||||
−0.495537 | + | 0.868587i | \(0.665029\pi\) | |||||||
\(462\) | −152.169 | − | 468.328i | −0.329370 | − | 1.01370i | ||||
\(463\) | −400.249 | −0.864469 | −0.432234 | − | 0.901761i | \(-0.642275\pi\) | ||||
−0.432234 | + | 0.901761i | \(0.642275\pi\) | |||||||
\(464\) | 54.1115 | − | 166.538i | 0.116620 | − | 0.358918i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 197.183 | + | 606.868i | 0.423140 | + | 1.30229i | ||||
\(467\) | 913.145 | 1.95534 | 0.977672 | − | 0.210139i | \(-0.0673915\pi\) | ||||
0.977672 | + | 0.210139i | \(0.0673915\pi\) | |||||||
\(468\) | 69.1621 | + | 95.1935i | 0.147782 | + | 0.203405i | ||||
\(469\) | −264.033 | −0.562969 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 481.391i | − | 1.02206i | ||||||
\(472\) | −112.855 | − | 81.9938i | −0.239099 | − | 0.173716i | ||||
\(473\) | − | 443.607i | − | 0.937858i | ||||||
\(474\) | 20.1177 | + | 61.9158i | 0.0424423 | + | 0.130624i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 146.950 | + | 202.260i | 0.308720 | + | 0.424916i | ||||
\(477\) | 230.413i | 0.483047i | ||||||||
\(478\) | −146.357 | − | 450.440i | −0.306186 | − | 0.942342i | ||||
\(479\) | 526.131i | 1.09840i | 0.835692 | + | 0.549198i | \(0.185067\pi\) | ||||
−0.835692 | + | 0.549198i | \(0.814933\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 155.554 | 0.323397 | ||||||||
\(482\) | −1.74606 | + | 0.567331i | −0.00362254 | + | 0.00117704i | ||||
\(483\) | −6.86054 | −0.0142040 | ||||||||
\(484\) | −892.423 | + | 648.384i | −1.84385 | + | 1.33964i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 333.416 | − | 108.334i | 0.686042 | − | 0.222909i | ||||
\(487\) | 443.541 | 0.910762 | 0.455381 | − | 0.890297i | \(-0.349503\pi\) | ||||
0.455381 | + | 0.890297i | \(0.349503\pi\) | |||||||
\(488\) | 423.853 | − | 583.384i | 0.868552 | − | 1.19546i | ||||
\(489\) | −252.125 | −0.515594 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 287.163i | − | 0.584854i | −0.956288 | − | 0.292427i | \(-0.905537\pi\) | ||
0.956288 | − | 0.292427i | \(-0.0944628\pi\) | |||||||
\(492\) | −110.959 | + | 80.6161i | −0.225526 | + | 0.163854i | ||||
\(493\) | − | 130.111i | − | 0.263918i | ||||||
\(494\) | 245.220 | − | 79.6767i | 0.496396 | − | 0.161289i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −126.217 | − | 41.0103i | −0.254469 | − | 0.0826820i | ||||
\(497\) | 424.721i | 0.854570i | ||||||||
\(498\) | 340.846 | − | 110.748i | 0.684430 | − | 0.222385i | ||||
\(499\) | − | 810.936i | − | 1.62512i | −0.582876 | − | 0.812561i | \(-0.698073\pi\) | ||
0.582876 | − | 0.812561i | \(-0.301927\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 78.0789 | 0.155846 | ||||||||
\(502\) | −84.4791 | − | 260.000i | −0.168285 | − | 0.517928i | ||||
\(503\) | −642.471 | −1.27728 | −0.638639 | − | 0.769506i | \(-0.720502\pi\) | ||||
−0.638639 | + | 0.769506i | \(0.720502\pi\) | |||||||
\(504\) | 85.8359 | − | 118.143i | 0.170309 | − | 0.234411i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 6.83282 | + | 21.0292i | 0.0135036 | + | 0.0415598i | ||||
\(507\) | 228.585 | 0.450858 | ||||||||
\(508\) | −642.802 | + | 467.023i | −1.26536 | + | 0.919337i | ||||
\(509\) | 915.050 | 1.79774 | 0.898870 | − | 0.438216i | \(-0.144389\pi\) | ||||
0.898870 | + | 0.438216i | \(0.144389\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 29.2000i | 0.0571429i | ||||||||
\(512\) | −486.941 | − | 158.217i | −0.951057 | − | 0.309017i | ||||
\(513\) | − | 446.217i | − | 0.869818i | ||||||
\(514\) | 169.925 | + | 522.975i | 0.330593 | + | 1.01746i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −169.443 | + | 123.107i | −0.328377 | + | 0.238580i | ||||
\(517\) | 1063.49i | 2.05704i | ||||||||
\(518\) | −59.6575 | − | 183.607i | −0.115169 | − | 0.354453i | ||||
\(519\) | − | 532.206i | − | 1.02544i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1006.98 | 1.93279 | 0.966396 | − | 0.257058i | \(-0.0827533\pi\) | ||||
0.966396 | + | 0.257058i | \(0.0827533\pi\) | |||||||
\(522\) | −72.2803 | + | 23.4853i | −0.138468 | + | 0.0449910i | ||||
\(523\) | 774.173 | 1.48025 | 0.740127 | − | 0.672467i | \(-0.234765\pi\) | ||||
0.740127 | + | 0.672467i | \(0.234765\pi\) | |||||||
\(524\) | 18.2693 | + | 25.1456i | 0.0348651 | + | 0.0479877i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −772.991 | + | 251.160i | −1.46956 | + | 0.477490i | ||||
\(527\) | −98.6096 | −0.187115 | ||||||||
\(528\) | 712.650 | + | 231.554i | 1.34972 | + | 0.438550i | ||||
\(529\) | −528.692 | −0.999418 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 60.5437i | 0.114018i | ||||||||
\(532\) | −188.091 | − | 258.885i | −0.353555 | − | 0.486627i | ||||
\(533\) | 123.554i | 0.231809i | ||||||||
\(534\) | 498.387 | − | 161.936i | 0.933309 | − | 0.303250i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 236.158 | − | 325.043i | 0.440593 | − | 0.606424i | ||||
\(537\) | − | 527.449i | − | 0.982214i | ||||||
\(538\) | 662.933 | − | 215.400i | 1.23222 | − | 0.400372i | ||||
\(539\) | − | 425.487i | − | 0.789401i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −259.115 | −0.478955 | −0.239477 | − | 0.970902i | \(-0.576976\pi\) | ||||
−0.239477 | + | 0.970902i | \(0.576976\pi\) | |||||||
\(542\) | −153.179 | − | 471.437i | −0.282618 | − | 0.869809i | ||||
\(543\) | 202.722 | 0.373337 | ||||||||
\(544\) | −380.433 | −0.699326 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 64.7214 | + | 199.192i | 0.118537 | + | 0.364820i | ||||
\(547\) | −149.818 | −0.273890 | −0.136945 | − | 0.990579i | \(-0.543728\pi\) | ||||
−0.136945 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(548\) | −1.95807 | − | 2.69505i | −0.00357312 | − | 0.00491797i | ||||
\(549\) | −312.971 | −0.570074 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 166.538i | 0.302247i | ||||||||
\(552\) | 6.13625 | − | 8.44582i | 0.0111164 | − | 0.0153004i | ||||
\(553\) | − | 72.7864i | − | 0.131621i | ||||||
\(554\) | 33.8398 | + | 104.148i | 0.0610826 | + | 0.187993i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 558.768 | + | 769.078i | 1.00498 | + | 1.38323i | ||||
\(557\) | − | 511.698i | − | 0.918668i | −0.888264 | − | 0.459334i | \(-0.848088\pi\) | ||
0.888264 | − | 0.459334i | \(-0.151912\pi\) | |||||||
\(558\) | 17.7992 | + | 54.7802i | 0.0318981 | + | 0.0981724i | ||||
\(559\) | 188.677i | 0.337526i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 556.774 | 0.992467 | ||||||||
\(562\) | −95.7917 | + | 31.1246i | −0.170448 | + | 0.0553819i | ||||
\(563\) | −490.726 | −0.871627 | −0.435814 | − | 0.900037i | \(-0.643539\pi\) | ||||
−0.435814 | + | 0.900037i | \(0.643539\pi\) | |||||||
\(564\) | 406.217 | − | 295.134i | 0.720242 | − | 0.523287i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 280.249 | − | 91.0585i | 0.495140 | − | 0.160881i | ||||
\(567\) | 198.175 | 0.349514 | ||||||||
\(568\) | −522.863 | − | 379.882i | −0.920534 | − | 0.668807i | ||||
\(569\) | 232.748 | 0.409047 | 0.204523 | − | 0.978862i | \(-0.434436\pi\) | ||||
0.204523 | + | 0.978862i | \(0.434436\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 210.755i | − | 0.369098i | −0.982823 | − | 0.184549i | \(-0.940918\pi\) | ||
0.982823 | − | 0.184549i | \(-0.0590824\pi\) | |||||||
\(572\) | 546.113 | − | 396.774i | 0.954742 | − | 0.693661i | ||||
\(573\) | − | 72.9318i | − | 0.127281i | ||||||
\(574\) | 145.836 | − | 47.3850i | 0.254070 | − | 0.0825522i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 68.6687 | + | 211.341i | 0.119217 | + | 0.366911i | ||||
\(577\) | − | 341.712i | − | 0.592222i | −0.955154 | − | 0.296111i | \(-0.904310\pi\) | ||
0.955154 | − | 0.296111i | \(-0.0956898\pi\) | |||||||
\(578\) | 280.871 | − | 91.2605i | 0.485936 | − | 0.157890i | ||||
\(579\) | 259.150i | 0.447581i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −400.689 | −0.689654 | ||||||||
\(582\) | 134.894 | + | 415.161i | 0.231777 | + | 0.713335i | ||||
\(583\) | 1321.85 | 2.26733 | ||||||||
\(584\) | −35.9474 | − | 26.1173i | −0.0615537 | − | 0.0447214i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 110.541 | + | 340.210i | 0.188637 | + | 0.580564i | ||||
\(587\) | 618.412 | 1.05351 | 0.526756 | − | 0.850016i | \(-0.323408\pi\) | ||||
0.526756 | + | 0.850016i | \(0.323408\pi\) | |||||||
\(588\) | −162.522 | + | 118.079i | −0.276397 | + | 0.200815i | ||||
\(589\) | 126.217 | 0.214290 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 405.630i | 0.686345i | ||||||||
\(592\) | 279.393 | + | 90.7802i | 0.471947 | + | 0.153345i | ||||
\(593\) | 120.663i | 0.203478i | 0.994811 | + | 0.101739i | \(0.0324407\pi\) | ||||
−0.994811 | + | 0.101739i | \(0.967559\pi\) | |||||||
\(594\) | −360.997 | − | 1111.03i | −0.607739 | − | 1.87043i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 119.639 | − | 86.9231i | 0.200737 | − | 0.145844i | ||||
\(597\) | 640.000i | 1.07203i | ||||||||
\(598\) | −2.90617 | − | 8.94427i | −0.00485982 | − | 0.0149570i | ||||
\(599\) | 849.927i | 1.41891i | 0.704751 | + | 0.709455i | \(0.251059\pi\) | ||||
−0.704751 | + | 0.709455i | \(0.748941\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.3576 | −0.0188978 | −0.00944890 | − | 0.999955i | \(-0.503008\pi\) | ||||
−0.00944890 | + | 0.999955i | \(0.503008\pi\) | |||||||
\(602\) | 222.703 | − | 72.3607i | 0.369939 | − | 0.120200i | ||||
\(603\) | −174.378 | −0.289183 | ||||||||
\(604\) | 664.721 | + | 914.910i | 1.10053 | + | 1.51475i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 286.715 | − | 93.1594i | 0.473127 | − | 0.153728i | ||||
\(607\) | −1115.12 | −1.83710 | −0.918550 | − | 0.395305i | \(-0.870639\pi\) | ||||
−0.918550 | + | 0.395305i | \(0.870639\pi\) | |||||||
\(608\) | 486.941 | 0.800890 | ||||||||
\(609\) | −135.279 | −0.222132 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 452.329i | − | 0.740309i | ||||||
\(612\) | 97.0519 | + | 133.580i | 0.158582 | + | 0.218269i | ||||
\(613\) | 499.475i | 0.814805i | 0.913249 | + | 0.407402i | \(0.133565\pi\) | ||||
−0.913249 | + | 0.407402i | \(0.866435\pi\) | |||||||
\(614\) | −541.246 | + | 175.862i | −0.881508 | + | 0.286419i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −677.771 | − | 492.429i | −1.10028 | − | 0.799398i | ||||
\(617\) | − | 545.935i | − | 0.884822i | −0.896813 | − | 0.442411i | \(-0.854123\pi\) | ||
0.896813 | − | 0.442411i | \(-0.145877\pi\) | |||||||
\(618\) | −616.123 | + | 200.190i | −0.996962 | + | 0.323933i | ||||
\(619\) | − | 455.011i | − | 0.735075i | −0.930009 | − | 0.367537i | \(-0.880201\pi\) | ||
0.930009 | − | 0.367537i | \(-0.119799\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −16.2755 | −0.0262086 | ||||||||
\(622\) | 174.408 | + | 536.774i | 0.280399 | + | 0.862981i | ||||
\(623\) | −585.889 | −0.940432 | ||||||||
\(624\) | −303.108 | − | 98.4859i | −0.485751 | − | 0.157830i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −350.764 | − | 1079.54i | −0.560326 | − | 1.72451i | ||||
\(627\) | −712.650 | −1.13660 | ||||||||
\(628\) | −481.391 | − | 662.577i | −0.766546 | − | 1.05506i | ||||
\(629\) | 218.282 | 0.347030 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 267.706i | 0.424257i | 0.977242 | + | 0.212128i | \(0.0680395\pi\) | ||||
−0.977242 | + | 0.212128i | \(0.931960\pi\) | |||||||
\(632\) | 89.6054 | + | 65.1021i | 0.141781 | + | 0.103010i | ||||
\(633\) | − | 482.610i | − | 0.762417i | ||||||
\(634\) | −99.5905 | − | 306.508i | −0.157083 | − | 0.483451i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −366.833 | − | 504.902i | −0.576781 | − | 0.793871i | ||||
\(637\) | 180.971i | 0.284098i | ||||||||
\(638\) | 134.732 | + | 414.663i | 0.211179 | + | 0.649941i | ||||
\(639\) | 280.503i | 0.438971i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −418.571 | −0.652997 | −0.326499 | − | 0.945198i | \(-0.605869\pi\) | ||||
−0.326499 | + | 0.945198i | \(0.605869\pi\) | |||||||
\(642\) | −229.564 | + | 74.5898i | −0.357576 | + | 0.116183i | ||||
\(643\) | −439.339 | −0.683265 | −0.341633 | − | 0.939834i | \(-0.610980\pi\) | ||||
−0.341633 | + | 0.939834i | \(0.610980\pi\) | |||||||
\(644\) | −9.44272 | + | 6.86054i | −0.0146626 | + | 0.0106530i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 344.105 | − | 111.807i | 0.532671 | − | 0.173075i | ||||
\(647\) | 419.644 | 0.648600 | 0.324300 | − | 0.945954i | \(-0.394871\pi\) | ||||
0.324300 | + | 0.945954i | \(0.394871\pi\) | |||||||
\(648\) | −177.253 | + | 243.967i | −0.273538 | + | 0.376493i | ||||
\(649\) | 347.331 | 0.535179 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 102.526i | 0.157490i | ||||||||
\(652\) | −347.021 | + | 252.125i | −0.532240 | + | 0.386695i | ||||
\(653\) | − | 370.085i | − | 0.566746i | −0.959010 | − | 0.283373i | \(-0.908547\pi\) | ||
0.959010 | − | 0.283373i | \(-0.0914534\pi\) | |||||||
\(654\) | −596.892 | + | 193.942i | −0.912678 | + | 0.296547i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −72.1052 | + | 221.917i | −0.109917 | + | 0.338288i | ||||
\(657\) | 19.2849i | 0.0293529i | ||||||||
\(658\) | −533.902 | + | 173.475i | −0.811401 | + | 0.263640i | ||||
\(659\) | 322.823i | 0.489868i | 0.969540 | + | 0.244934i | \(0.0787664\pi\) | ||||
−0.969540 | + | 0.244934i | \(0.921234\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −812.735 | −1.22955 | −0.614777 | − | 0.788701i | \(-0.710754\pi\) | ||||
−0.614777 | + | 0.788701i | \(0.710754\pi\) | |||||||
\(662\) | 205.166 | + | 631.437i | 0.309919 | + | 0.953832i | ||||
\(663\) | −236.810 | −0.357180 | ||||||||
\(664\) | 358.387 | − | 493.277i | 0.539739 | − | 0.742888i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −39.4001 | − | 121.261i | −0.0591594 | − | 0.182074i | ||||
\(667\) | 6.07439 | 0.00910703 | ||||||||
\(668\) | 107.466 | − | 78.0789i | 0.160878 | − | 0.116885i | ||||
\(669\) | −554.237 | −0.828456 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1795.47i | 2.67581i | ||||||||
\(672\) | 395.542i | 0.588604i | ||||||||
\(673\) | 467.378i | 0.694469i | 0.937778 | + | 0.347235i | \(0.112879\pi\) | ||||
−0.937778 | + | 0.347235i | \(0.887121\pi\) | |||||||
\(674\) | 166.318 | + | 511.875i | 0.246763 | + | 0.759458i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 314.620 | − | 228.585i | 0.465414 | − | 0.338143i | ||||
\(677\) | − | 548.237i | − | 0.809803i | −0.914360 | − | 0.404902i | \(-0.867306\pi\) | ||
0.914360 | − | 0.404902i | \(-0.132694\pi\) | |||||||
\(678\) | 248.073 | + | 763.489i | 0.365889 | + | 1.12609i | ||||
\(679\) | − | 488.051i | − | 0.718779i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −137.580 | −0.202027 | ||||||||
\(682\) | 314.267 | − | 102.111i | 0.460802 | − | 0.149724i | ||||
\(683\) | −23.9663 | −0.0350898 | −0.0175449 | − | 0.999846i | \(-0.505585\pi\) | ||||
−0.0175449 | + | 0.999846i | \(0.505585\pi\) | |||||||
\(684\) | −124.223 | − | 170.978i | −0.181612 | − | 0.249968i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 703.607 | − | 228.616i | 1.02567 | − | 0.333259i | ||||
\(687\) | −382.581 | −0.556886 | ||||||||
\(688\) | −110.111 | + | 338.885i | −0.160044 | + | 0.492566i | ||||
\(689\) | −562.217 | −0.815989 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 186.981i | − | 0.270595i | −0.990805 | − | 0.135298i | \(-0.956801\pi\) | ||
0.990805 | − | 0.135298i | \(-0.0431990\pi\) | |||||||
\(692\) | −532.206 | − | 732.519i | −0.769084 | − | 1.05855i | ||||
\(693\) | 363.607i | 0.524685i | ||||||||
\(694\) | −956.906 | + | 310.917i | −1.37883 | + | 0.448008i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 120.997 | − | 166.538i | 0.173846 | − | 0.239279i | ||||
\(697\) | 173.378i | 0.248748i | ||||||||
\(698\) | 0.959917 | − | 0.311896i | 0.00137524 | − | 0.000446842i | ||||
\(699\) | 750.130i | 1.07315i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −706.636 | −1.00804 | −0.504020 | − | 0.863692i | \(-0.668146\pi\) | ||||
−0.504020 | + | 0.863692i | \(0.668146\pi\) | |||||||
\(702\) | 153.541 | + | 472.551i | 0.218720 | + | 0.673150i | ||||
\(703\) | −279.393 | −0.397429 | ||||||||
\(704\) | 1212.43 | − | 393.943i | 1.72221 | − | 0.559579i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −207.656 | − | 639.098i | −0.294130 | − | 0.905238i | ||||
\(707\) | −337.054 | −0.476738 | ||||||||
\(708\) | −96.3895 | − | 132.669i | −0.136143 | − | 0.187385i | ||||
\(709\) | 188.597 | 0.266005 | 0.133002 | − | 0.991116i | \(-0.457538\pi\) | ||||
0.133002 | + | 0.991116i | \(0.457538\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 48.0710i | − | 0.0676104i | ||||||
\(712\) | 524.035 | − | 721.272i | 0.736004 | − | 1.01302i | ||||
\(713\) | − | 4.60369i | − | 0.00645679i | ||||||
\(714\) | 90.8204 | + | 279.516i | 0.127199 | + | 0.391480i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −527.449 | − | 725.971i | −0.736661 | − | 1.01393i | ||||
\(717\) | − | 556.774i | − | 0.776533i | ||||||
\(718\) | −60.8676 | − | 187.331i | −0.0847738 | − | 0.260907i | ||||
\(719\) | − | 156.085i | − | 0.217086i | −0.994092 | − | 0.108543i | \(-0.965381\pi\) | ||
0.994092 | − | 0.108543i | \(-0.0346186\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 724.296 | 1.00457 | ||||||||
\(722\) | 246.221 | − | 80.0019i | 0.341026 | − | 0.110806i | ||||
\(723\) | −2.15825 | −0.00298514 | ||||||||
\(724\) | 279.023 | − | 202.722i | 0.385391 | − | 0.280003i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1233.30 | + | 400.723i | −1.69876 | + | 0.551960i | ||||
\(727\) | −715.164 | −0.983719 | −0.491859 | − | 0.870675i | \(-0.663683\pi\) | ||||
−0.491859 | + | 0.870675i | \(0.663683\pi\) | |||||||
\(728\) | 288.273 | + | 209.443i | 0.395980 | + | 0.287696i | ||||
\(729\) | 751.381 | 1.03070 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 264.762i | 0.362191i | ||||||||
\(732\) | 685.809 | − | 498.269i | 0.936897 | − | 0.680696i | ||||
\(733\) | 1233.29i | 1.68252i | 0.540632 | + | 0.841259i | \(0.318185\pi\) | ||||
−0.540632 | + | 0.841259i | \(0.681815\pi\) | |||||||
\(734\) | 948.152 | − | 308.073i | 1.29176 | − | 0.419718i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 17.7609i | − | 0.0241317i | ||||||
\(737\) | 1000.38i | 1.35737i | ||||||||
\(738\) | 96.3158 | − | 31.2949i | 0.130509 | − | 0.0424050i | ||||
\(739\) | − | 8.55656i | − | 0.0115786i | −0.999983 | − | 0.00578928i | \(-0.998157\pi\) | ||
0.999983 | − | 0.00578928i | \(-0.00184280\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 303.108 | 0.409053 | ||||||||
\(742\) | 215.619 | + | 663.607i | 0.290592 | + | 0.894349i | ||||
\(743\) | 1010.56 | 1.36011 | 0.680053 | − | 0.733163i | \(-0.261957\pi\) | ||||
0.680053 | + | 0.733163i | \(0.261957\pi\) | |||||||
\(744\) | −126.217 | − | 91.7018i | −0.169646 | − | 0.123255i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 371.039 | + | 1141.94i | 0.497372 | + | 1.53075i | ||||
\(747\) | −264.631 | −0.354258 | ||||||||
\(748\) | 766.334 | − | 556.774i | 1.02451 | − | 0.744350i | ||||
\(749\) | 269.868 | 0.360305 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 1104.31i | − | 1.47046i | −0.677820 | − | 0.735228i | \(-0.737075\pi\) | ||
0.677820 | − | 0.735228i | \(-0.262925\pi\) | |||||||
\(752\) | 263.976 | − | 812.433i | 0.351031 | − | 1.08036i | ||||
\(753\) | − | 321.378i | − | 0.426796i | ||||||
\(754\) | −57.3050 | − | 176.367i | −0.0760013 | − | 0.233908i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 498.885 | − | 362.461i | 0.659901 | − | 0.479446i | ||||
\(757\) | 875.633i | 1.15671i | 0.815783 | + | 0.578357i | \(0.196306\pi\) | ||||
−0.815783 | + | 0.578357i | \(0.803694\pi\) | |||||||
\(758\) | −187.567 | − | 577.272i | −0.247450 | − | 0.761573i | ||||
\(759\) | 25.9936i | 0.0342471i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −647.207 | −0.850470 | −0.425235 | − | 0.905083i | \(-0.639808\pi\) | ||||
−0.425235 | + | 0.905083i | \(0.639808\pi\) | |||||||
\(762\) | −888.331 | + | 288.636i | −1.16579 | + | 0.378788i | ||||
\(763\) | 701.688 | 0.919644 | ||||||||
\(764\) | −72.9318 | − | 100.382i | −0.0954605 | − | 0.131390i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 632.610 | − | 205.547i | 0.825861 | − | 0.268339i | ||||
\(767\) | −147.729 | −0.192606 | ||||||||
\(768\) | −486.941 | − | 353.783i | −0.634038 | − | 0.460655i | ||||
\(769\) | −631.430 | −0.821106 | −0.410553 | − | 0.911837i | \(-0.634664\pi\) | ||||
−0.410553 | + | 0.911837i | \(0.634664\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 646.433i | 0.838434i | ||||||||
\(772\) | 259.150 | + | 356.689i | 0.335686 | + | 0.462032i | ||||
\(773\) | − | 421.522i | − | 0.545306i | −0.962112 | − | 0.272653i | \(-0.912099\pi\) | ||
0.962112 | − | 0.272653i | \(-0.0879011\pi\) | |||||||
\(774\) | 147.082 | − | 47.7899i | 0.190028 | − | 0.0617440i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 600.827 | + | 436.526i | 0.774261 | + | 0.562534i | ||||
\(777\) | − | 226.950i | − | 0.292086i | ||||||
\(778\) | −746.303 | + | 242.488i | −0.959258 | + | 0.311682i | ||||
\(779\) | − | 221.917i | − | 0.284874i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1609.21 | 2.06044 | ||||||||
\(782\) | −4.07809 | − | 12.5511i | −0.00521495 | − | 0.0160500i | ||||
\(783\) | −320.927 | −0.409869 | ||||||||
\(784\) | −105.613 | + | 325.043i | −0.134710 | + | 0.414596i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 11.2911 | + | 34.7503i | 0.0143652 | + | 0.0442116i | ||||
\(787\) | 838.633 | 1.06561 | 0.532804 | − | 0.846239i | \(-0.321138\pi\) | ||||
0.532804 | + | 0.846239i | \(0.321138\pi\) | |||||||
\(788\) | 405.630 | + | 558.302i | 0.514759 | + | 0.708505i | ||||
\(789\) | −955.469 | −1.21099 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 897.535i | − | 1.13468i | ||||||
\(792\) | −447.627 | − | 325.220i | −0.565185 | − | 0.410631i | ||||
\(793\) | − | 763.659i | − | 0.963001i | ||||||
\(794\) | −206.541 | − | 635.668i | −0.260127 | − | 0.800589i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 640.000 | + | 880.884i | 0.804020 | + | 1.10664i | ||||
\(797\) | − | 1213.57i | − | 1.52268i | −0.648354 | − | 0.761339i | \(-0.724542\pi\) | ||
0.648354 | − | 0.761339i | \(-0.275458\pi\) | |||||||
\(798\) | −116.247 | − | 357.771i | −0.145673 | − | 0.448334i | ||||
\(799\) | − | 634.732i | − | 0.794408i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −386.944 | −0.483076 | ||||||||
\(802\) | 230.162 | − | 74.7840i | 0.286985 | − | 0.0932469i | ||||
\(803\) | 110.635 | 0.137777 | ||||||||
\(804\) | 382.111 | − | 277.620i | 0.475263 | − | 0.345299i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −133.666 | + | 43.4306i | −0.165838 | + | 0.0538841i | ||||
\(807\) | 819.431 | 1.01540 | ||||||||
\(808\) | 301.470 | − | 414.938i | 0.373107 | − | 0.513537i | ||||
\(809\) | 229.214 | 0.283330 | 0.141665 | − | 0.989915i | \(-0.454754\pi\) | ||||
0.141665 | + | 0.989915i | \(0.454754\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 454.225i | 0.560080i | 0.959988 | + | 0.280040i | \(0.0903478\pi\) | ||||
−0.959988 | + | 0.280040i | \(0.909652\pi\) | |||||||
\(812\) | −186.195 | + | 135.279i | −0.229304 | + | 0.166599i | ||||
\(813\) | − | 582.728i | − | 0.716762i | ||||||
\(814\) | −695.659 | + | 226.033i | −0.854618 | + | 0.277682i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −425.337 | − | 138.201i | −0.521247 | − | 0.169363i | ||||
\(817\) | − | 338.885i | − | 0.414792i | ||||||
\(818\) | 1155.36 | − | 375.400i | 1.41242 | − | 0.458924i | ||||
\(819\) | − | 154.651i | − | 0.188829i | ||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1130.90 | 1.37747 | 0.688733 | − | 0.725015i | \(-0.258167\pi\) | ||||
0.688733 | + | 0.725015i | \(0.258167\pi\) | |||||||
\(822\) | −1.21015 | − | 3.72447i | −0.00147220 | − | 0.00453098i | ||||
\(823\) | −780.148 | −0.947931 | −0.473966 | − | 0.880543i | \(-0.657178\pi\) | ||||
−0.473966 | + | 0.880543i | \(0.657178\pi\) | |||||||
\(824\) | −647.830 | + | 891.661i | −0.786201 | + | 1.08211i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 56.6563 | + | 174.370i | 0.0685912 | + | 0.211102i | ||||
\(827\) | 209.175 | 0.252932 | 0.126466 | − | 0.991971i | \(-0.459636\pi\) | ||||
0.126466 | + | 0.991971i | \(0.459636\pi\) | |||||||
\(828\) | −6.23634 | + | 4.53097i | −0.00753182 | + | 0.00547219i | ||||
\(829\) | 508.525 | 0.613419 | 0.306710 | − | 0.951803i | \(-0.400772\pi\) | ||||
0.306710 | + | 0.951803i | \(0.400772\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 128.734i | 0.154915i | ||||||||
\(832\) | −515.679 | + | 167.554i | −0.619806 | + | 0.201387i | ||||
\(833\) | 253.947i | 0.304859i | ||||||||
\(834\) | 345.337 | + | 1062.84i | 0.414074 | + | 1.27439i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −980.879 | + | 712.650i | −1.17330 | + | 0.852453i | ||||
\(837\) | 243.226i | 0.290593i | ||||||||
\(838\) | 288.473 | + | 887.830i | 0.344240 | + | 1.05946i | ||||
\(839\) | 274.028i | 0.326613i | 0.986575 | + | 0.163306i | \(0.0522159\pi\) | ||||
−0.986575 | + | 0.163306i | \(0.947784\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −721.223 | −0.857578 | ||||||||
\(842\) | −139.022 | + | 45.1710i | −0.165109 | + | 0.0536473i | ||||
\(843\) | −118.405 | −0.140457 | ||||||||
\(844\) | −482.610 | − | 664.256i | −0.571813 | − | 0.787033i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −352.610 | + | 114.570i | −0.416797 | + | 0.135425i | ||||
\(847\) | 1449.83 | 1.71172 | ||||||||
\(848\) | −1009.80 | − | 328.105i | −1.19081 | − | 0.386917i | ||||
\(849\) | 346.407 | 0.408018 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.1907i | 0.0119750i | ||||||||
\(852\) | −446.578 | − | 614.663i | −0.524153 | − | 0.721435i | ||||
\(853\) | − | 1583.28i | − | 1.85613i | −0.372416 | − | 0.928066i | \(-0.621471\pi\) | ||
0.372416 | − | 0.928066i | \(-0.378529\pi\) | |||||||
\(854\) | −901.378 | + | 292.875i | −1.05548 | + | 0.342945i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −241.378 | + | 332.228i | −0.281983 | + | 0.388117i | ||||
\(857\) | 1007.38i | 1.17547i | 0.809054 | + | 0.587735i | \(0.199980\pi\) | ||||
−0.809054 | + | 0.587735i | \(0.800020\pi\) | |||||||
\(858\) | 754.709 | − | 245.220i | 0.879614 | − | 0.285804i | ||||
\(859\) | 76.6086i | 0.0891835i | 0.999005 | + | 0.0445917i | \(0.0141987\pi\) | ||||
−0.999005 | + | 0.0445917i | \(0.985801\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 180.263 | 0.209365 | ||||||||
\(862\) | −286.539 | − | 881.876i | −0.332412 | − | 1.02306i | ||||
\(863\) | 255.450 | 0.296002 | 0.148001 | − | 0.988987i | \(-0.452716\pi\) | ||||
0.148001 | + | 0.988987i | \(0.452716\pi\) | |||||||
\(864\) | 938.360i | 1.08606i | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −61.7020 | − | 189.899i | −0.0712494 | − | 0.219283i | ||||
\(867\) | 347.175 | 0.400433 | ||||||||
\(868\) | 102.526 | + | 141.115i | 0.118117 | + | 0.162574i | ||||
\(869\) | −275.777 | −0.317350 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 425.487i | − | 0.488504i | ||||||
\(872\) | −627.609 | + | 863.830i | −0.719735 | + | 0.990630i | ||||
\(873\) | − | 322.328i | − | 0.369219i | ||||||
\(874\) | 5.21981 | + | 16.0649i | 0.00597232 | + | 0.0183809i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −30.7027 | − | 42.2587i | −0.0350488 | − | 0.0482405i | ||||
\(877\) | − | 601.522i | − | 0.685886i | −0.939356 | − | 0.342943i | \(-0.888576\pi\) | ||
0.939356 | − | 0.342943i | \(-0.111424\pi\) | |||||||
\(878\) | −231.198 | − | 711.554i | −0.263323 | − | 0.810426i | ||||
\(879\) | 420.523i | 0.478411i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 237.850 | 0.269977 | 0.134989 | − | 0.990847i | \(-0.456900\pi\) | ||||
0.134989 | + | 0.990847i | \(0.456900\pi\) | |||||||
\(882\) | 141.074 | − | 45.8378i | 0.159948 | − | 0.0519703i | ||||
\(883\) | 1.30294 | 0.00147559 | 0.000737794 | − | 1.00000i | \(-0.499765\pi\) | ||||
0.000737794 | 1.00000i | \(0.499765\pi\) | ||||||||
\(884\) | −325.941 | + | 236.810i | −0.368712 | + | 0.267885i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 551.803 | − | 179.292i | 0.622803 | − | 0.202361i | ||||
\(887\) | −536.353 | −0.604682 | −0.302341 | − | 0.953200i | \(-0.597768\pi\) | ||||
−0.302341 | + | 0.953200i | \(0.597768\pi\) | |||||||
\(888\) | 279.393 | + | 202.991i | 0.314631 | + | 0.228593i | ||||
\(889\) | 1044.30 | 1.17469 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − | 750.855i | − | 0.842710i | ||||||
\(892\) | −762.842 | + | 554.237i | −0.855203 | + | 0.621342i | ||||
\(893\) | 812.433i | 0.909780i | ||||||||
\(894\) | 165.337 | − | 53.7214i | 0.184941 | − | 0.0600911i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 395.542 | + | 544.417i | 0.441453 | + | 0.607608i | ||||
\(897\) | − | 11.0557i | − | 0.0123252i | ||||||
\(898\) | −570.484 | + | 185.361i | −0.635283 | + | 0.206416i | ||||
\(899\) | − | 90.7773i | − | 0.100976i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −788.932 | −0.875618 | ||||||||
\(902\) | −179.535 | − | 552.551i | −0.199041 | − | 0.612584i | ||||
\(903\) | 275.276 | 0.304846 | ||||||||
\(904\) | 1104.93 | + | 802.780i | 1.22227 | + | 0.888031i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 410.820 | + | 1264.38i | 0.453444 | + | 1.39556i | ||||
\(907\) | 332.159 | 0.366217 | 0.183108 | − | 0.983093i | \(-0.441384\pi\) | ||||
0.183108 | + | 0.983093i | \(0.441384\pi\) | |||||||
\(908\) | −189.363 | + | 137.580i | −0.208550 | + | 0.151520i | ||||
\(909\) | −222.604 | −0.244889 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1450.06i | − | 1.59172i | −0.605478 | − | 0.795862i | \(-0.707018\pi\) | ||
0.605478 | − | 0.795862i | \(-0.292982\pi\) | |||||||
\(912\) | 544.417 | + | 176.892i | 0.596948 | + | 0.193960i | ||||
\(913\) | 1518.15i | 1.66282i | ||||||||
\(914\) | −508.227 | − | 1564.16i | −0.556047 | − | 1.71134i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −526.577 | + | 382.581i | −0.574866 | + | 0.417665i | ||||
\(917\) | − | 40.8514i | − | 0.0445490i | ||||||
\(918\) | 215.457 | + | 663.108i | 0.234703 | + | 0.722340i | ||||
\(919\) | − | 814.405i | − | 0.886186i | −0.896476 | − | 0.443093i | \(-0.853881\pi\) | ||
0.896476 | − | 0.443093i | \(-0.146119\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −669.017 | −0.726403 | ||||||||
\(922\) | −869.048 | + | 282.371i | −0.942568 | + | 0.306259i | ||||
\(923\) | −684.437 | −0.741535 | ||||||||
\(924\) | −578.885 | − | 796.767i | −0.626499 | − | 0.862302i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −761.319 | + | 247.367i | −0.822159 | + | 0.267136i | ||||
\(927\) | 478.353 | 0.516023 | ||||||||
\(928\) | − | 350.217i | − | 0.377389i | ||||||
\(929\) | −400.039 | −0.430612 | −0.215306 | − | 0.976547i | \(-0.569075\pi\) | ||||
−0.215306 | + | 0.976547i | \(0.569075\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 325.043i | − | 0.349134i | ||||||
\(932\) | 750.130 | + | 1032.47i | 0.804861 | + | 1.10780i | ||||
\(933\) | 663.489i | 0.711135i | ||||||||
\(934\) | 1736.91 | − | 564.355i | 1.85964 | − | 0.604234i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 190.387 | + | 138.324i | 0.203405 | + | 0.147782i | ||||
\(937\) | − | 249.279i | − | 0.266039i | −0.991113 | − | 0.133020i | \(-0.957533\pi\) | ||
0.991113 | − | 0.133020i | \(-0.0424673\pi\) | |||||||
\(938\) | −502.220 | + | 163.181i | −0.535415 | + | 0.173967i | ||||
\(939\) | − | 1334.39i | − | 1.42107i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 724.229 | 0.769638 | 0.384819 | − | 0.922992i | \(-0.374264\pi\) | ||||
0.384819 | + | 0.922992i | \(0.374264\pi\) | |||||||
\(942\) | −297.516 | − | 915.659i | −0.315834 | − | 0.972038i | ||||
\(943\) | −8.09432 | −0.00858358 | ||||||||
\(944\) | −265.337 | − | 86.2134i | −0.281078 | − | 0.0913277i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −274.164 | − | 843.790i | −0.289814 | − | 0.891956i | ||||
\(947\) | −1141.54 | −1.20542 | −0.602712 | − | 0.797959i | \(-0.705913\pi\) | ||||
−0.602712 | + | 0.797959i | \(0.705913\pi\) | |||||||
\(948\) | 76.5322 | + | 105.337i | 0.0807301 | + | 0.111115i | ||||
\(949\) | −47.0557 | −0.0495845 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 378.865i | − | 0.398386i | ||||||
\(952\) | 404.520 | + | 293.901i | 0.424916 | + | 0.308720i | ||||
\(953\) | 1295.33i | 1.35921i | 0.733579 | + | 0.679604i | \(0.237848\pi\) | ||||
−0.733579 | + | 0.679604i | \(0.762152\pi\) | |||||||
\(954\) | 142.403 | + | 438.272i | 0.149270 | + | 0.459405i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −556.774 | − | 766.334i | −0.582400 | − | 0.801604i | ||||
\(957\) | 512.551i | 0.535581i | ||||||||
\(958\) | 325.167 | + | 1000.76i | 0.339423 | + | 1.04464i | ||||
\(959\) | 4.37837i | 0.00456556i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 892.201 | 0.928409 | ||||||||
\(962\) | 295.882 | − | 96.1378i | 0.307569 | − | 0.0999353i | ||||
\(963\) | 178.232 | 0.185080 | ||||||||
\(964\) | −2.97058 | + | 2.15825i | −0.00308152 | + | 0.00223885i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −13.0495 | + | 4.24005i | −0.0135088 | + | 0.00438928i | ||||
\(967\) | −398.477 | −0.412075 | −0.206037 | − | 0.978544i | \(-0.566057\pi\) | ||||
−0.206037 | + | 0.978544i | \(0.566057\pi\) | |||||||
\(968\) | −1296.77 | + | 1784.85i | −1.33964 | + | 1.84385i | ||||
\(969\) | 425.337 | 0.438945 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 928.093i | − | 0.955811i | −0.878411 | − | 0.477906i | \(-0.841396\pi\) | ||
0.878411 | − | 0.477906i | \(-0.158604\pi\) | |||||||
\(972\) | 567.242 | − | 412.125i | 0.583582 | − | 0.423997i | ||||
\(973\) | − | 1249.44i | − | 1.28411i | ||||||
\(974\) | 843.666 | − | 274.124i | 0.866186 | − | 0.281441i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 445.666 | − | 1371.62i | 0.456625 | − | 1.40535i | ||||
\(977\) | 1378.05i | 1.41049i | 0.708962 | + | 0.705247i | \(0.249164\pi\) | ||||
−0.708962 | + | 0.705247i | \(0.750836\pi\) | |||||||
\(978\) | −479.571 | + | 155.822i | −0.490359 | + | 0.159327i | ||||
\(979\) | 2219.85i | 2.26747i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 463.423 | 0.472398 | ||||||||
\(982\) | −177.477 | − | 546.217i | −0.180730 | − | 0.556229i | ||||
\(983\) | −311.291 | −0.316675 | −0.158337 | − | 0.987385i | \(-0.550613\pi\) | ||||
−0.158337 | + | 0.987385i | \(0.550613\pi\) | |||||||
\(984\) | −161.232 | + | 221.917i | −0.163854 | + | 0.225526i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −80.4133 | − | 247.487i | −0.0815551 | − | 0.251001i | ||||
\(987\) | −659.939 | −0.668631 | ||||||||
\(988\) | 417.193 | − | 303.108i | 0.422260 | − | 0.306790i | ||||
\(989\) | −12.3607 | −0.0124982 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 961.147i | 0.969876i | 0.874549 | + | 0.484938i | \(0.161158\pi\) | ||||
−0.874549 | + | 0.484938i | \(0.838842\pi\) | |||||||
\(992\) | −265.424 | −0.267565 | ||||||||
\(993\) | 780.498i | 0.786000i | ||||||||
\(994\) | 262.492 | + | 807.868i | 0.264077 | + | 0.812745i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 579.882 | − | 421.309i | 0.582211 | − | 0.423001i | ||||
\(997\) | 1089.68i | 1.09296i | 0.837473 | + | 0.546479i | \(0.184032\pi\) | ||||
−0.837473 | + | 0.546479i | \(0.815968\pi\) | |||||||
\(998\) | −501.186 | − | 1542.49i | −0.502190 | − | 1.54558i | ||||
\(999\) | − | 538.404i | − | 0.538943i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))