Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(295,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 16.0.468066644398978174550016.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 8x^{14} + 45x^{12} + 124x^{10} + 248x^{8} + 250x^{6} + 177x^{4} + 14x^{2} + 1 \) |
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 | 295.5 | ||
Root | \(-0.141226 - 0.244611i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.295 |
Dual form | 637.2.f.l.393.5 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.760387 | − | 1.31703i | 0.537675 | − | 0.931280i | −0.461354 | − | 0.887216i | \(-0.652636\pi\) |
0.999029 | − | 0.0440636i | \(-0.0140304\pi\) | |||||||
\(3\) | −1.06311 | + | 1.84135i | −0.613784 | + | 1.06311i | 0.376812 | + | 0.926290i | \(0.377020\pi\) |
−0.990596 | + | 0.136816i | \(0.956313\pi\) | |||||||
\(4\) | −0.156376 | − | 0.270851i | −0.0781880 | − | 0.135426i | ||||
\(5\) | −0.589391 | −0.263584 | −0.131792 | − | 0.991277i | \(-0.542073\pi\) | ||||
−0.131792 | + | 0.991277i | \(0.542073\pi\) | |||||||
\(6\) | 1.61674 | + | 2.80028i | 0.660032 | + | 1.14321i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.56592 | 0.907190 | ||||||||
\(9\) | −0.760387 | − | 1.31703i | −0.253462 | − | 0.439009i | ||||
\(10\) | −0.448165 | + | 0.776245i | −0.141722 | + | 0.245470i | ||||
\(11\) | −0.760387 | + | 1.31703i | −0.229265 | + | 0.397099i | −0.957591 | − | 0.288132i | \(-0.906966\pi\) |
0.728325 | + | 0.685232i | \(0.240299\pi\) | |||||||
\(12\) | 0.664976 | 0.191962 | ||||||||
\(13\) | −3.32565 | + | 1.39285i | −0.922370 | + | 0.386308i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.626585 | − | 1.08528i | 0.161784 | − | 0.280217i | ||||
\(16\) | 2.26384 | − | 3.92109i | 0.565961 | − | 0.980274i | ||||
\(17\) | 2.39740 | + | 4.15241i | 0.581454 | + | 1.00711i | 0.995307 | + | 0.0967643i | \(0.0308493\pi\) |
−0.413853 | + | 0.910344i | \(0.635817\pi\) | |||||||
\(18\) | −2.31275 | −0.545121 | ||||||||
\(19\) | 0.841957 | + | 1.45831i | 0.193158 | + | 0.334560i | 0.946295 | − | 0.323304i | \(-0.104794\pi\) |
−0.753137 | + | 0.657864i | \(0.771460\pi\) | |||||||
\(20\) | 0.0921666 | + | 0.159637i | 0.0206091 | + | 0.0356960i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.15638 | + | 2.00290i | 0.246540 | + | 0.427020i | ||||
\(23\) | −0.886972 | + | 1.53628i | −0.184946 | + | 0.320337i | −0.943558 | − | 0.331206i | \(-0.892544\pi\) |
0.758612 | + | 0.651543i | \(0.225878\pi\) | |||||||
\(24\) | −2.72785 | + | 4.72477i | −0.556819 | + | 0.964439i | ||||
\(25\) | −4.65262 | −0.930524 | ||||||||
\(26\) | −0.694354 | + | 5.43908i | −0.136174 | + | 1.06669i | ||||
\(27\) | −3.14515 | −0.605284 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.44625 | + | 5.96909i | −0.639953 | + | 1.10843i | 0.345489 | + | 0.938423i | \(0.387713\pi\) |
−0.985443 | + | 0.170009i | \(0.945620\pi\) | |||||||
\(30\) | −0.952894 | − | 1.65046i | −0.173974 | − | 0.301332i | ||||
\(31\) | 6.08640 | 1.09315 | 0.546575 | − | 0.837410i | \(-0.315931\pi\) | ||||
0.546575 | + | 0.837410i | \(0.315931\pi\) | |||||||
\(32\) | −0.876873 | − | 1.51879i | −0.155011 | − | 0.268486i | ||||
\(33\) | −1.61674 | − | 2.80028i | −0.281439 | − | 0.487466i | ||||
\(34\) | 7.29179 | 1.25053 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.237812 | + | 0.411903i | −0.0396354 | + | 0.0686505i | ||||
\(37\) | −0.704563 | + | 1.22034i | −0.115830 | + | 0.200623i | −0.918111 | − | 0.396323i | \(-0.870286\pi\) |
0.802282 | + | 0.596946i | \(0.203619\pi\) | |||||||
\(38\) | 2.56085 | 0.415425 | ||||||||
\(39\) | 0.970785 | − | 7.60445i | 0.155450 | − | 1.21769i | ||||
\(40\) | −1.51233 | −0.239121 | ||||||||
\(41\) | 0.677729 | − | 1.17386i | 0.105843 | − | 0.183326i | −0.808239 | − | 0.588855i | \(-0.799579\pi\) |
0.914082 | + | 0.405528i | \(0.132912\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.77978 | + | 10.0109i | 0.881408 | + | 1.52664i | 0.849776 | + | 0.527144i | \(0.176737\pi\) |
0.0316319 | + | 0.999500i | \(0.489930\pi\) | |||||||
\(44\) | 0.475625 | 0.0717031 | ||||||||
\(45\) | 0.448165 | + | 0.776245i | 0.0668085 | + | 0.115716i | ||||
\(46\) | 1.34888 | + | 2.33633i | 0.198882 | + | 0.344474i | ||||
\(47\) | 0.464832 | 0.0678027 | 0.0339013 | − | 0.999425i | \(-0.489207\pi\) | ||||
0.0339013 | + | 0.999425i | \(0.489207\pi\) | |||||||
\(48\) | 4.81341 | + | 8.33707i | 0.694756 | + | 1.20335i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.53779 | + | 6.12763i | −0.500319 | + | 0.866578i | ||||
\(51\) | −10.1947 | −1.42755 | ||||||||
\(52\) | 0.897307 | + | 0.682948i | 0.124434 | + | 0.0947078i | ||||
\(53\) | 8.24681 | 1.13279 | 0.566393 | − | 0.824135i | \(-0.308338\pi\) | ||||
0.566393 | + | 0.824135i | \(0.308338\pi\) | |||||||
\(54\) | −2.39153 | + | 4.14225i | −0.325446 | + | 0.563689i | ||||
\(55\) | 0.448165 | − | 0.776245i | 0.0604306 | − | 0.104669i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.58035 | −0.474230 | ||||||||
\(58\) | 5.24097 | + | 9.07763i | 0.688173 | + | 1.19195i | ||||
\(59\) | −5.93782 | − | 10.2846i | −0.773038 | − | 1.33894i | −0.935890 | − | 0.352291i | \(-0.885403\pi\) |
0.162852 | − | 0.986651i | \(-0.447931\pi\) | |||||||
\(60\) | −0.391931 | −0.0505981 | ||||||||
\(61\) | 1.24009 | + | 2.14789i | 0.158777 | + | 0.275009i | 0.934428 | − | 0.356153i | \(-0.115912\pi\) |
−0.775651 | + | 0.631162i | \(0.782578\pi\) | |||||||
\(62\) | 4.62802 | − | 8.01596i | 0.587759 | − | 1.01803i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.38833 | 0.798541 | ||||||||
\(65\) | 1.96011 | − | 0.820936i | 0.243122 | − | 0.101825i | ||||
\(66\) | −4.91740 | −0.605290 | ||||||||
\(67\) | 3.78642 | − | 6.55827i | 0.462585 | − | 0.801220i | −0.536504 | − | 0.843898i | \(-0.680255\pi\) |
0.999089 | + | 0.0426774i | \(0.0135888\pi\) | |||||||
\(68\) | 0.749790 | − | 1.29867i | 0.0909254 | − | 0.157487i | ||||
\(69\) | −1.88589 | − | 3.26646i | −0.227034 | − | 0.393235i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.30235 | − | 5.71984i | −0.391917 | − | 0.678821i | 0.600785 | − | 0.799411i | \(-0.294855\pi\) |
−0.992702 | + | 0.120590i | \(0.961521\pi\) | |||||||
\(72\) | −1.95109 | − | 3.37939i | −0.229939 | − | 0.398265i | ||||
\(73\) | 16.3712 | 1.91610 | 0.958049 | − | 0.286604i | \(-0.0925263\pi\) | ||||
0.958049 | + | 0.286604i | \(0.0925263\pi\) | |||||||
\(74\) | 1.07148 | + | 1.85586i | 0.124557 | + | 0.215739i | ||||
\(75\) | 4.94622 | − | 8.56711i | 0.571141 | − | 0.989245i | ||||
\(76\) | 0.263323 | − | 0.456090i | 0.0302053 | − | 0.0523171i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −9.27710 | − | 7.06087i | −1.05042 | − | 0.799486i | ||||
\(79\) | −14.9623 | −1.68339 | −0.841696 | − | 0.539951i | \(-0.818443\pi\) | ||||
−0.841696 | + | 0.539951i | \(0.818443\pi\) | |||||||
\(80\) | −1.33429 | + | 2.31106i | −0.149178 | + | 0.258384i | ||||
\(81\) | 5.62478 | − | 9.74241i | 0.624976 | − | 1.08249i | ||||
\(82\) | −1.03067 | − | 1.78518i | −0.113819 | − | 0.197140i | ||||
\(83\) | −10.1222 | −1.11105 | −0.555526 | − | 0.831499i | \(-0.687483\pi\) | ||||
−0.555526 | + | 0.831499i | \(0.687483\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.41300 | − | 2.44740i | −0.153262 | − | 0.265457i | ||||
\(86\) | 17.5795 | 1.89564 | ||||||||
\(87\) | −7.32746 | − | 12.6915i | −0.785586 | − | 1.36068i | ||||
\(88\) | −1.95109 | + | 3.37939i | −0.207987 | + | 0.360244i | ||||
\(89\) | 8.24250 | − | 14.2764i | 0.873703 | − | 1.51330i | 0.0155650 | − | 0.999879i | \(-0.495045\pi\) |
0.858138 | − | 0.513419i | \(-0.171621\pi\) | |||||||
\(90\) | 1.36312 | 0.143685 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.554804 | 0.0578423 | ||||||||
\(93\) | −6.47049 | + | 11.2072i | −0.670958 | + | 1.16213i | ||||
\(94\) | 0.353452 | − | 0.612196i | 0.0364558 | − | 0.0631432i | ||||
\(95\) | −0.496242 | − | 0.859516i | −0.0509133 | − | 0.0881845i | ||||
\(96\) | 3.72883 | 0.380573 | ||||||||
\(97\) | −0.486935 | − | 0.843396i | −0.0494407 | − | 0.0856338i | 0.840246 | − | 0.542205i | \(-0.182411\pi\) |
−0.889687 | + | 0.456572i | \(0.849077\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.31275 | 0.232440 | ||||||||
\(100\) | 0.727557 | + | 1.26017i | 0.0727557 | + | 0.126017i | ||||
\(101\) | −1.47012 | + | 2.54632i | −0.146282 | + | 0.253368i | −0.929851 | − | 0.367937i | \(-0.880064\pi\) |
0.783568 | + | 0.621305i | \(0.213397\pi\) | |||||||
\(102\) | −7.75195 | + | 13.4268i | −0.767557 | + | 1.32945i | ||||
\(103\) | −0.528682 | −0.0520926 | −0.0260463 | − | 0.999661i | \(-0.508292\pi\) | ||||
−0.0260463 | + | 0.999661i | \(0.508292\pi\) | |||||||
\(104\) | −8.53336 | + | 3.57395i | −0.836765 | + | 0.350455i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.27076 | − | 10.8613i | 0.609070 | − | 1.05494i | ||||
\(107\) | 9.66119 | − | 16.7337i | 0.933983 | − | 1.61771i | 0.157545 | − | 0.987512i | \(-0.449642\pi\) |
0.776438 | − | 0.630194i | \(-0.217024\pi\) | |||||||
\(108\) | 0.491825 | + | 0.851866i | 0.0473259 | + | 0.0819709i | ||||
\(109\) | −5.73240 | −0.549064 | −0.274532 | − | 0.961578i | \(-0.588523\pi\) | ||||
−0.274532 | + | 0.961578i | \(0.588523\pi\) | |||||||
\(110\) | −0.681558 | − | 1.18049i | −0.0649840 | − | 0.112556i | ||||
\(111\) | −1.49805 | − | 2.59470i | −0.142189 | − | 0.246278i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.57480 | − | 4.45968i | −0.242216 | − | 0.419531i | 0.719129 | − | 0.694877i | \(-0.244541\pi\) |
−0.961345 | + | 0.275346i | \(0.911208\pi\) | |||||||
\(114\) | −2.72245 | + | 4.71543i | −0.254981 | + | 0.441640i | ||||
\(115\) | 0.522774 | − | 0.905470i | 0.0487489 | − | 0.0844355i | ||||
\(116\) | 2.15564 | 0.200147 | ||||||||
\(117\) | 4.36321 | + | 3.32087i | 0.403379 | + | 0.307015i | ||||
\(118\) | −18.0602 | −1.66257 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.60777 | − | 2.78474i | 0.146769 | − | 0.254211i | ||||
\(121\) | 4.34362 | + | 7.52338i | 0.394875 | + | 0.683943i | ||||
\(122\) | 3.77178 | 0.341481 | ||||||||
\(123\) | 1.44099 | + | 2.49588i | 0.129930 | + | 0.225045i | ||||
\(124\) | −0.951766 | − | 1.64851i | −0.0854711 | − | 0.148040i | ||||
\(125\) | 5.68917 | 0.508855 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.50166 | − | 7.79710i | 0.399457 | − | 0.691881i | −0.594202 | − | 0.804316i | \(-0.702532\pi\) |
0.993659 | + | 0.112436i | \(0.0358652\pi\) | |||||||
\(128\) | 6.61135 | − | 11.4512i | 0.584366 | − | 1.01215i | ||||
\(129\) | −24.5781 | −2.16398 | ||||||||
\(130\) | 0.409246 | − | 3.20575i | 0.0358933 | − | 0.281163i | ||||
\(131\) | −6.79840 | −0.593979 | −0.296989 | − | 0.954881i | \(-0.595983\pi\) | ||||
−0.296989 | + | 0.954881i | \(0.595983\pi\) | |||||||
\(132\) | −0.505639 | + | 0.875793i | −0.0440102 | + | 0.0762280i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −5.75829 | − | 9.97364i | −0.497440 | − | 0.861592i | ||||
\(135\) | 1.85372 | 0.159543 | ||||||||
\(136\) | 6.15153 | + | 10.6548i | 0.527490 | + | 0.913639i | ||||
\(137\) | 7.03779 | + | 12.1898i | 0.601279 | + | 1.04145i | 0.992628 | + | 0.121203i | \(0.0386753\pi\) |
−0.391349 | + | 0.920242i | \(0.627991\pi\) | |||||||
\(138\) | −5.73602 | −0.488283 | ||||||||
\(139\) | 8.64313 | + | 14.9703i | 0.733101 | + | 1.26977i | 0.955552 | + | 0.294824i | \(0.0952611\pi\) |
−0.222451 | + | 0.974944i | \(0.571406\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.494165 | + | 0.855919i | −0.0416162 | + | 0.0720814i | ||||
\(142\) | −10.0443 | −0.842896 | ||||||||
\(143\) | 0.694354 | − | 5.43908i | 0.0580648 | − | 0.454839i | ||||
\(144\) | −6.88559 | −0.573799 | ||||||||
\(145\) | 2.03119 | − | 3.51813i | 0.168681 | − | 0.292165i | ||||
\(146\) | 12.4484 | − | 21.5613i | 1.03024 | − | 1.78442i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.440707 | 0.0362259 | ||||||||
\(149\) | 8.56260 | + | 14.8309i | 0.701475 | + | 1.21499i | 0.967949 | + | 0.251148i | \(0.0808082\pi\) |
−0.266473 | + | 0.963842i | \(0.585858\pi\) | |||||||
\(150\) | −7.52209 | − | 13.0286i | −0.614176 | − | 1.06378i | ||||
\(151\) | 15.7975 | 1.28558 | 0.642789 | − | 0.766043i | \(-0.277777\pi\) | ||||
0.642789 | + | 0.766043i | \(0.277777\pi\) | |||||||
\(152\) | 2.16040 | + | 3.74191i | 0.175231 | + | 0.303509i | ||||
\(153\) | 3.64590 | − | 6.31488i | 0.294753 | − | 0.510528i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.58727 | −0.288137 | ||||||||
\(156\) | −2.21148 | + | 0.926214i | −0.177060 | + | 0.0741565i | ||||
\(157\) | 3.78351 | 0.301957 | 0.150979 | − | 0.988537i | \(-0.451758\pi\) | ||||
0.150979 | + | 0.988537i | \(0.451758\pi\) | |||||||
\(158\) | −11.3771 | + | 19.7058i | −0.905117 | + | 1.56771i | ||||
\(159\) | −8.76722 | + | 15.1853i | −0.695286 | + | 1.20427i | ||||
\(160\) | 0.516821 | + | 0.895161i | 0.0408583 | + | 0.0707687i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −8.55402 | − | 14.8160i | −0.672067 | − | 1.16406i | ||||
\(163\) | −0.857757 | − | 1.48568i | −0.0671847 | − | 0.116367i | 0.830476 | − | 0.557054i | \(-0.188068\pi\) |
−0.897661 | + | 0.440687i | \(0.854735\pi\) | |||||||
\(164\) | −0.423922 | −0.0331027 | ||||||||
\(165\) | 0.952894 | + | 1.65046i | 0.0741827 | + | 0.128488i | ||||
\(166\) | −7.69677 | + | 13.3312i | −0.597385 | + | 1.03470i | ||||
\(167\) | 6.32605 | − | 10.9570i | 0.489524 | − | 0.847881i | −0.510403 | − | 0.859935i | \(-0.670504\pi\) |
0.999927 | + | 0.0120542i | \(0.00383706\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.11992 | − | 9.26429i | 0.701532 | − | 0.712638i | ||||
\(170\) | −4.29772 | −0.329620 | ||||||||
\(171\) | 1.28043 | − | 2.21776i | 0.0979166 | − | 0.169596i | ||||
\(172\) | 1.80764 | − | 3.13092i | 0.137831 | − | 0.238730i | ||||
\(173\) | −5.74371 | − | 9.94839i | −0.436686 | − | 0.756362i | 0.560746 | − | 0.827988i | \(-0.310515\pi\) |
−0.997432 | + | 0.0716259i | \(0.977181\pi\) | |||||||
\(174\) | −22.2868 | −1.68956 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.44280 | + | 5.96310i | 0.259510 | + | 0.449485i | ||||
\(177\) | 25.2501 | 1.89792 | ||||||||
\(178\) | −12.5350 | − | 21.7112i | −0.939536 | − | 1.62732i | ||||
\(179\) | 1.09225 | − | 1.89184i | 0.0816389 | − | 0.141403i | −0.822315 | − | 0.569032i | \(-0.807318\pi\) |
0.903954 | + | 0.427630i | \(0.140651\pi\) | |||||||
\(180\) | 0.140165 | − | 0.242772i | 0.0104472 | − | 0.0180952i | ||||
\(181\) | 11.5981 | 0.862081 | 0.431041 | − | 0.902333i | \(-0.358147\pi\) | ||||
0.431041 | + | 0.902333i | \(0.358147\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.27337 | −0.389819 | ||||||||
\(184\) | −2.27590 | + | 3.94198i | −0.167782 | + | 0.290606i | ||||
\(185\) | 0.415264 | − | 0.719258i | 0.0305308 | − | 0.0528809i | ||||
\(186\) | 9.84014 | + | 17.0436i | 0.721514 | + | 1.24970i | ||||
\(187\) | −7.29179 | −0.533229 | ||||||||
\(188\) | −0.0726885 | − | 0.125900i | −0.00530135 | − | 0.00918221i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.50934 | −0.109499 | ||||||||
\(191\) | −8.87961 | − | 15.3799i | −0.642506 | − | 1.11285i | −0.984871 | − | 0.173286i | \(-0.944561\pi\) |
0.342365 | − | 0.939567i | \(-0.388772\pi\) | |||||||
\(192\) | −6.79147 | + | 11.7632i | −0.490132 | + | 0.848934i | ||||
\(193\) | −11.3189 | + | 19.6050i | −0.814756 | + | 1.41120i | 0.0947474 | + | 0.995501i | \(0.469796\pi\) |
−0.909503 | + | 0.415697i | \(0.863538\pi\) | |||||||
\(194\) | −1.48103 | −0.106332 | ||||||||
\(195\) | −0.572172 | + | 4.48200i | −0.0409741 | + | 0.320962i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.0032 | + | 17.3260i | −0.712696 | + | 1.23442i | 0.251146 | + | 0.967949i | \(0.419193\pi\) |
−0.963842 | + | 0.266476i | \(0.914141\pi\) | |||||||
\(198\) | 1.75859 | − | 3.04596i | 0.124977 | − | 0.216467i | ||||
\(199\) | −0.924426 | − | 1.60115i | −0.0655309 | − | 0.113503i | 0.831398 | − | 0.555677i | \(-0.187541\pi\) |
−0.896929 | + | 0.442174i | \(0.854207\pi\) | |||||||
\(200\) | −11.9383 | −0.844162 | ||||||||
\(201\) | 8.05073 | + | 13.9443i | 0.567854 | + | 0.983553i | ||||
\(202\) | 2.23572 | + | 3.87237i | 0.157304 | + | 0.272459i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.59421 | + | 2.76126i | 0.111617 | + | 0.193327i | ||||
\(205\) | −0.399447 | + | 0.691863i | −0.0278986 | + | 0.0483218i | ||||
\(206\) | −0.402003 | + | 0.696289i | −0.0280088 | + | 0.0485127i | ||||
\(207\) | 2.69777 | 0.187508 | ||||||||
\(208\) | −2.06725 | + | 16.1934i | −0.143338 | + | 1.12281i | ||||
\(209\) | −2.56085 | −0.177138 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.08474 | − | 14.0032i | 0.556576 | − | 0.964019i | −0.441203 | − | 0.897407i | \(-0.645448\pi\) |
0.997779 | − | 0.0666110i | \(-0.0212187\pi\) | |||||||
\(212\) | −1.28960 | − | 2.23366i | −0.0885702 | − | 0.153408i | ||||
\(213\) | 14.0430 | 0.962210 | ||||||||
\(214\) | −14.6925 | − | 25.4481i | −1.00436 | − | 1.73960i | ||||
\(215\) | −3.40655 | − | 5.90032i | −0.232325 | − | 0.402399i | ||||
\(216\) | −8.07020 | −0.549108 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.35884 | + | 7.54973i | −0.295218 | + | 0.511332i | ||||
\(219\) | −17.4043 | + | 30.1451i | −1.17607 | + | 2.03701i | ||||
\(220\) | −0.280329 | −0.0188998 | ||||||||
\(221\) | −13.7566 | − | 10.4703i | −0.925369 | − | 0.704306i | ||||
\(222\) | −4.55639 | −0.305805 | ||||||||
\(223\) | −6.21589 | + | 10.7662i | −0.416247 | + | 0.720961i | −0.995558 | − | 0.0941455i | \(-0.969988\pi\) |
0.579312 | + | 0.815106i | \(0.303321\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.53779 | + | 6.12763i | 0.235853 | + | 0.408509i | ||||
\(226\) | −7.83136 | −0.520934 | ||||||||
\(227\) | 0.617487 | + | 1.06952i | 0.0409841 | + | 0.0709865i | 0.885790 | − | 0.464087i | \(-0.153617\pi\) |
−0.844806 | + | 0.535073i | \(0.820284\pi\) | |||||||
\(228\) | 0.559881 | + | 0.969743i | 0.0370790 | + | 0.0642228i | ||||
\(229\) | −6.55514 | −0.433176 | −0.216588 | − | 0.976263i | \(-0.569493\pi\) | ||||
−0.216588 | + | 0.976263i | \(0.569493\pi\) | |||||||
\(230\) | −0.795020 | − | 1.37702i | −0.0524221 | − | 0.0907977i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.84282 | + | 15.3162i | −0.580559 | + | 1.00556i | ||||
\(233\) | 6.29887 | 0.412653 | 0.206326 | − | 0.978483i | \(-0.433849\pi\) | ||||
0.206326 | + | 0.978483i | \(0.433849\pi\) | |||||||
\(234\) | 7.69141 | − | 3.22132i | 0.502803 | − | 0.210585i | ||||
\(235\) | −0.273968 | −0.0178717 | ||||||||
\(236\) | −1.85706 | + | 3.21653i | −0.120885 | + | 0.209378i | ||||
\(237\) | 15.9065 | − | 27.5509i | 1.03324 | − | 1.78962i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.9193 | −1.22379 | −0.611895 | − | 0.790939i | \(-0.709592\pi\) | ||||
−0.611895 | + | 0.790939i | \(0.709592\pi\) | |||||||
\(240\) | −2.83698 | − | 4.91380i | −0.183126 | − | 0.317184i | ||||
\(241\) | 11.1484 | + | 19.3096i | 0.718131 | + | 1.24384i | 0.961740 | + | 0.273965i | \(0.0883353\pi\) |
−0.243609 | + | 0.969874i | \(0.578331\pi\) | |||||||
\(242\) | 13.2113 | 0.849257 | ||||||||
\(243\) | 7.24176 | + | 12.5431i | 0.464559 | + | 0.804640i | ||||
\(244\) | 0.387839 | − | 0.671757i | 0.0248289 | − | 0.0430048i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.38285 | 0.279440 | ||||||||
\(247\) | −4.83127 | − | 3.67711i | −0.307406 | − | 0.233969i | ||||
\(248\) | 15.6172 | 0.991695 | ||||||||
\(249\) | 10.7609 | − | 18.6385i | 0.681947 | − | 1.18117i | ||||
\(250\) | 4.32597 | − | 7.49280i | 0.273598 | − | 0.473886i | ||||
\(251\) | −3.47657 | − | 6.02160i | −0.219439 | − | 0.380080i | 0.735197 | − | 0.677853i | \(-0.237090\pi\) |
−0.954637 | + | 0.297773i | \(0.903756\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.34888 | − | 2.33633i | −0.0848036 | − | 0.146884i | ||||
\(254\) | −6.84600 | − | 11.8576i | −0.429556 | − | 0.744013i | ||||
\(255\) | 6.00869 | 0.376279 | ||||||||
\(256\) | −3.66603 | − | 6.34975i | −0.229127 | − | 0.396860i | ||||
\(257\) | 10.5776 | − | 18.3209i | 0.659811 | − | 1.14283i | −0.320853 | − | 0.947129i | \(-0.603970\pi\) |
0.980664 | − | 0.195697i | \(-0.0626970\pi\) | |||||||
\(258\) | −18.6888 | + | 32.3700i | −1.16352 | + | 2.01527i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.528865 | − | 0.402523i | −0.0327988 | − | 0.0249634i | ||||
\(261\) | 10.4819 | 0.648816 | ||||||||
\(262\) | −5.16941 | + | 8.95368i | −0.319367 | + | 0.553160i | ||||
\(263\) | 4.21496 | − | 7.30053i | 0.259906 | − | 0.450170i | −0.706311 | − | 0.707902i | \(-0.749642\pi\) |
0.966216 | + | 0.257732i | \(0.0829752\pi\) | |||||||
\(264\) | −4.14844 | − | 7.18530i | −0.255319 | − | 0.442225i | ||||
\(265\) | −4.86060 | −0.298584 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.5253 | + | 30.3547i | 1.07253 | + | 1.85768i | ||||
\(268\) | −2.36842 | −0.144674 | ||||||||
\(269\) | −2.91519 | − | 5.04926i | −0.177743 | − | 0.307859i | 0.763364 | − | 0.645968i | \(-0.223546\pi\) |
−0.941107 | + | 0.338109i | \(0.890213\pi\) | |||||||
\(270\) | 1.40955 | − | 2.44141i | 0.0857823 | − | 0.148579i | ||||
\(271\) | 9.21497 | − | 15.9608i | 0.559769 | − | 0.969549i | −0.437746 | − | 0.899099i | \(-0.644223\pi\) |
0.997515 | − | 0.0704502i | \(-0.0224436\pi\) | |||||||
\(272\) | 21.7093 | 1.31632 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.4058 | 1.29317 | ||||||||
\(275\) | 3.53779 | − | 6.12763i | 0.213337 | − | 0.369510i | ||||
\(276\) | −0.589815 | + | 1.02159i | −0.0355027 | + | 0.0614925i | ||||
\(277\) | 3.09154 | + | 5.35470i | 0.185752 | + | 0.321733i | 0.943830 | − | 0.330432i | \(-0.107194\pi\) |
−0.758077 | + | 0.652165i | \(0.773861\pi\) | |||||||
\(278\) | 26.2885 | 1.57668 | ||||||||
\(279\) | −4.62802 | − | 8.01596i | −0.277072 | − | 0.479903i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.64049 | −0.336483 | −0.168242 | − | 0.985746i | \(-0.553809\pi\) | ||||
−0.168242 | + | 0.985746i | \(0.553809\pi\) | |||||||
\(282\) | 0.751513 | + | 1.30166i | 0.0447520 | + | 0.0775127i | ||||
\(283\) | −8.22771 | + | 14.2508i | −0.489086 | + | 0.847123i | −0.999921 | − | 0.0125564i | \(-0.996003\pi\) |
0.510835 | + | 0.859679i | \(0.329336\pi\) | |||||||
\(284\) | −1.03282 | + | 1.78889i | −0.0612864 | + | 0.106151i | ||||
\(285\) | 2.11023 | 0.124999 | ||||||||
\(286\) | −6.63545 | − | 5.05029i | −0.392362 | − | 0.298630i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.33353 | + | 2.30973i | −0.0785787 | + | 0.136102i | ||||
\(289\) | −2.99502 | + | 5.18752i | −0.176177 | + | 0.305148i | ||||
\(290\) | −3.08898 | − | 5.35028i | −0.181391 | − | 0.314179i | ||||
\(291\) | 2.07065 | 0.121384 | ||||||||
\(292\) | −2.56005 | − | 4.43414i | −0.149816 | − | 0.259489i | ||||
\(293\) | 15.3086 | + | 26.5152i | 0.894335 | + | 1.54903i | 0.834625 | + | 0.550819i | \(0.185684\pi\) |
0.0597104 | + | 0.998216i | \(0.480982\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.49970 | + | 6.06166i | 0.203760 | + | 0.352923i | ||||
\(296\) | −1.80785 | + | 3.13130i | −0.105079 | + | 0.182003i | ||||
\(297\) | 2.39153 | − | 4.14225i | 0.138771 | − | 0.240358i | ||||
\(298\) | 26.0435 | 1.50866 | ||||||||
\(299\) | 0.809947 | − | 6.34456i | 0.0468404 | − | 0.366915i | ||||
\(300\) | −3.09388 | −0.178625 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.0122 | − | 20.8057i | 0.691223 | − | 1.19723i | ||||
\(303\) | −3.12578 | − | 5.41401i | −0.179571 | − | 0.311027i | ||||
\(304\) | 7.62424 | 0.437280 | ||||||||
\(305\) | −0.730896 | − | 1.26595i | −0.0418510 | − | 0.0724880i | ||||
\(306\) | −5.54458 | − | 9.60350i | −0.316963 | − | 0.548995i | ||||
\(307\) | 9.96020 | 0.568459 | 0.284229 | − | 0.958756i | \(-0.408262\pi\) | ||||
0.284229 | + | 0.958756i | \(0.408262\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.562044 | − | 0.973489i | 0.0319736 | − | 0.0553799i | ||||
\(310\) | −2.72771 | + | 4.72454i | −0.154924 | + | 0.268336i | ||||
\(311\) | −27.7468 | −1.57337 | −0.786687 | − | 0.617352i | \(-0.788205\pi\) | ||||
−0.786687 | + | 0.617352i | \(0.788205\pi\) | |||||||
\(312\) | 2.49096 | − | 19.5124i | 0.141023 | − | 1.10467i | ||||
\(313\) | 16.5227 | 0.933920 | 0.466960 | − | 0.884278i | \(-0.345349\pi\) | ||||
0.466960 | + | 0.884278i | \(0.345349\pi\) | |||||||
\(314\) | 2.87693 | − | 4.98300i | 0.162355 | − | 0.281207i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.33975 | + | 4.05256i | 0.131621 | + | 0.227974i | ||||
\(317\) | 23.6793 | 1.32996 | 0.664980 | − | 0.746861i | \(-0.268440\pi\) | ||||
0.664980 | + | 0.746861i | \(0.268440\pi\) | |||||||
\(318\) | 13.3330 | + | 23.0934i | 0.747675 | + | 1.29501i | ||||
\(319\) | −5.24097 | − | 9.07763i | −0.293438 | − | 0.508250i | ||||
\(320\) | −3.76523 | −0.210483 | ||||||||
\(321\) | 20.5417 | + | 35.5793i | 1.14653 | + | 1.98584i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.03701 | + | 6.99230i | −0.224625 | + | 0.389062i | ||||
\(324\) | −3.51832 | −0.195462 | ||||||||
\(325\) | 15.4730 | − | 6.48041i | 0.858287 | − | 0.359469i | ||||
\(326\) | −2.60891 | −0.144494 | ||||||||
\(327\) | 6.09414 | − | 10.5554i | 0.337007 | − | 0.583713i | ||||
\(328\) | 1.73900 | − | 3.01203i | 0.0960202 | − | 0.166312i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.89827 | 0.159545 | ||||||||
\(331\) | −3.97604 | − | 6.88671i | −0.218543 | − | 0.378528i | 0.735820 | − | 0.677178i | \(-0.236797\pi\) |
−0.954363 | + | 0.298650i | \(0.903464\pi\) | |||||||
\(332\) | 1.58286 | + | 2.74160i | 0.0868710 | + | 0.150465i | ||||
\(333\) | 2.14296 | 0.117434 | ||||||||
\(334\) | −9.62049 | − | 16.6632i | −0.526410 | − | 0.911768i | ||||
\(335\) | −2.23168 | + | 3.86539i | −0.121930 | + | 0.211189i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.91326 | −0.431063 | −0.215531 | − | 0.976497i | \(-0.569148\pi\) | ||||
−0.215531 | + | 0.976497i | \(0.569148\pi\) | |||||||
\(338\) | −5.26667 | − | 19.0556i | −0.286469 | − | 1.03649i | ||||
\(339\) | 10.9491 | 0.594674 | ||||||||
\(340\) | −0.441920 | + | 0.765427i | −0.0239665 | + | 0.0415111i | ||||
\(341\) | −4.62802 | + | 8.01596i | −0.250621 | + | 0.434089i | ||||
\(342\) | −1.94724 | − | 3.37271i | −0.105294 | − | 0.182375i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 14.8305 | + | 25.6871i | 0.799605 | + | 1.38496i | ||||
\(345\) | 1.11153 | + | 1.92522i | 0.0598426 | + | 0.103650i | ||||
\(346\) | −17.4698 | −0.939180 | ||||||||
\(347\) | −3.56786 | − | 6.17971i | −0.191533 | − | 0.331744i | 0.754226 | − | 0.656615i | \(-0.228012\pi\) |
−0.945758 | + | 0.324871i | \(0.894679\pi\) | |||||||
\(348\) | −2.29168 | + | 3.96930i | −0.122847 | + | 0.212777i | ||||
\(349\) | −0.688402 | + | 1.19235i | −0.0368493 | + | 0.0638249i | −0.883862 | − | 0.467748i | \(-0.845065\pi\) |
0.847013 | + | 0.531573i | \(0.178399\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.4597 | − | 4.38073i | 0.558296 | − | 0.233826i | ||||
\(352\) | 2.66705 | 0.142154 | ||||||||
\(353\) | −0.346608 | + | 0.600342i | −0.0184481 | + | 0.0319530i | −0.875102 | − | 0.483938i | \(-0.839206\pi\) |
0.856654 | + | 0.515891i | \(0.172539\pi\) | |||||||
\(354\) | 19.1999 | − | 33.2551i | 1.02046 | − | 1.76749i | ||||
\(355\) | 1.94638 | + | 3.37123i | 0.103303 | + | 0.178926i | ||||
\(356\) | −5.15571 | −0.273252 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.66107 | − | 2.87706i | −0.0877904 | − | 0.152057i | ||||
\(359\) | −5.80365 | −0.306305 | −0.153152 | − | 0.988203i | \(-0.548943\pi\) | ||||
−0.153152 | + | 0.988203i | \(0.548943\pi\) | |||||||
\(360\) | 1.14996 | + | 1.99178i | 0.0606081 | + | 0.104976i | ||||
\(361\) | 8.08222 | − | 13.9988i | 0.425380 | − | 0.736780i | ||||
\(362\) | 8.81905 | − | 15.2750i | 0.463519 | − | 0.802839i | ||||
\(363\) | −18.4709 | −0.969472 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.64902 | −0.505053 | ||||||||
\(366\) | −4.00980 | + | 6.94518i | −0.209596 | + | 0.363030i | ||||
\(367\) | −3.67578 | + | 6.36664i | −0.191874 | + | 0.332336i | −0.945871 | − | 0.324542i | \(-0.894790\pi\) |
0.753997 | + | 0.656878i | \(0.228123\pi\) | |||||||
\(368\) | 4.01593 | + | 6.95580i | 0.209345 | + | 0.362596i | ||||
\(369\) | −2.06134 | −0.107309 | ||||||||
\(370\) | −0.631522 | − | 1.09383i | −0.0328313 | − | 0.0568654i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.04731 | 0.209843 | ||||||||
\(373\) | −9.19942 | − | 15.9339i | −0.476328 | − | 0.825024i | 0.523304 | − | 0.852146i | \(-0.324699\pi\) |
−0.999632 | + | 0.0271216i | \(0.991366\pi\) | |||||||
\(374\) | −5.54458 | + | 9.60350i | −0.286704 | + | 0.496585i | ||||
\(375\) | −6.04819 | + | 10.4758i | −0.312327 | + | 0.540966i | ||||
\(376\) | 1.19272 | 0.0615099 | ||||||||
\(377\) | 3.14698 | − | 24.6512i | 0.162078 | − | 1.26960i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.42550 | − | 4.20110i | 0.124590 | − | 0.215796i | −0.796983 | − | 0.604002i | \(-0.793572\pi\) |
0.921573 | + | 0.388206i | \(0.126905\pi\) | |||||||
\(380\) | −0.155201 | + | 0.268815i | −0.00796162 | + | 0.0137899i | ||||
\(381\) | 9.57147 | + | 16.5783i | 0.490361 | + | 0.849331i | ||||
\(382\) | −27.0078 | −1.38184 | ||||||||
\(383\) | 11.4103 | + | 19.7631i | 0.583037 | + | 1.00985i | 0.995117 | + | 0.0987019i | \(0.0314690\pi\) |
−0.412080 | + | 0.911148i | \(0.635198\pi\) | |||||||
\(384\) | 14.0571 | + | 24.3476i | 0.717349 | + | 1.24249i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 17.2136 | + | 29.8148i | 0.876147 | + | 1.51753i | ||||
\(387\) | 8.78973 | − | 15.2243i | 0.446807 | − | 0.773893i | ||||
\(388\) | −0.152290 | + | 0.263773i | −0.00773134 | + | 0.0133911i | ||||
\(389\) | −20.3122 | −1.02987 | −0.514933 | − | 0.857230i | \(-0.672183\pi\) | ||||
−0.514933 | + | 0.857230i | \(0.672183\pi\) | |||||||
\(390\) | 5.46784 | + | 4.16162i | 0.276875 | + | 0.210732i | ||||
\(391\) | −8.50569 | −0.430151 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.22741 | − | 12.5182i | 0.364575 | − | 0.631462i | ||||
\(394\) | 15.2125 | + | 26.3489i | 0.766397 | + | 1.32744i | ||||
\(395\) | 8.81866 | 0.443715 | ||||||||
\(396\) | −0.361659 | − | 0.626411i | −0.0181740 | − | 0.0314783i | ||||
\(397\) | 17.0689 | + | 29.5641i | 0.856662 | + | 1.48378i | 0.875095 | + | 0.483952i | \(0.160799\pi\) |
−0.0184326 | + | 0.999830i | \(0.505868\pi\) | |||||||
\(398\) | −2.81169 | −0.140937 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.5328 | + | 18.2434i | −0.526640 | + | 0.912168i | ||||
\(401\) | 1.51298 | − | 2.62056i | 0.0755547 | − | 0.130865i | −0.825773 | − | 0.564003i | \(-0.809261\pi\) |
0.901327 | + | 0.433139i | \(0.142594\pi\) | |||||||
\(402\) | 24.4867 | 1.22128 | ||||||||
\(403\) | −20.2412 | + | 8.47746i | −1.00829 | + | 0.422292i | ||||
\(404\) | 0.919564 | 0.0457500 | ||||||||
\(405\) | −3.31520 | + | 5.74209i | −0.164734 | + | 0.285327i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.07148 | − | 1.85586i | −0.0531114 | − | 0.0919916i | ||||
\(408\) | −26.1589 | −1.29506 | ||||||||
\(409\) | −2.69162 | − | 4.66203i | −0.133092 | − | 0.230523i | 0.791775 | − | 0.610813i | \(-0.209157\pi\) |
−0.924867 | + | 0.380291i | \(0.875824\pi\) | |||||||
\(410\) | 0.607469 | + | 1.05217i | 0.0300008 | + | 0.0519628i | ||||
\(411\) | −29.9276 | −1.47622 | ||||||||
\(412\) | 0.0826731 | + | 0.143194i | 0.00407301 | + | 0.00705466i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.05135 | − | 3.55304i | 0.100818 | − | 0.174622i | ||||
\(415\) | 5.96592 | 0.292856 | ||||||||
\(416\) | 5.03162 | + | 3.82961i | 0.246696 | + | 0.187762i | ||||
\(417\) | −36.7543 | −1.79986 | ||||||||
\(418\) | −1.94724 | + | 3.37271i | −0.0952425 | + | 0.164965i | ||||
\(419\) | −2.94117 | + | 5.09426i | −0.143686 | + | 0.248871i | −0.928882 | − | 0.370376i | \(-0.879229\pi\) |
0.785196 | + | 0.619247i | \(0.212562\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.7614 | −1.40174 | −0.700872 | − | 0.713287i | \(-0.747206\pi\) | ||||
−0.700872 | + | 0.713287i | \(0.747206\pi\) | |||||||
\(422\) | −12.2951 | − | 21.2957i | −0.598514 | − | 1.03666i | ||||
\(423\) | −0.353452 | − | 0.612196i | −0.0171854 | − | 0.0297660i | ||||
\(424\) | 21.1607 | 1.02765 | ||||||||
\(425\) | −11.1542 | − | 19.3196i | −0.541057 | − | 0.937138i | ||||
\(426\) | 10.6781 | − | 18.4950i | 0.517356 | − | 0.896087i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −6.04311 | −0.292105 | ||||||||
\(429\) | 9.27710 | + | 7.06087i | 0.447903 | + | 0.340902i | ||||
\(430\) | −10.3612 | −0.499661 | ||||||||
\(431\) | −4.19294 | + | 7.26238i | −0.201967 | + | 0.349817i | −0.949162 | − | 0.314788i | \(-0.898067\pi\) |
0.747195 | + | 0.664605i | \(0.231400\pi\) | |||||||
\(432\) | −7.12013 | + | 12.3324i | −0.342567 | + | 0.593344i | ||||
\(433\) | 13.7996 | + | 23.9017i | 0.663168 | + | 1.14864i | 0.979779 | + | 0.200085i | \(0.0641218\pi\) |
−0.316611 | + | 0.948556i | \(0.602545\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.31874 | + | 7.48028i | 0.207068 | + | 0.358652i | ||||
\(436\) | 0.896409 | + | 1.55263i | 0.0429302 | + | 0.0743573i | ||||
\(437\) | −2.98717 | −0.142896 | ||||||||
\(438\) | 26.4679 | + | 45.8438i | 1.26469 | + | 2.19050i | ||||
\(439\) | −15.5869 | + | 26.9973i | −0.743921 | + | 1.28851i | 0.206776 | + | 0.978388i | \(0.433703\pi\) |
−0.950697 | + | 0.310121i | \(0.899631\pi\) | |||||||
\(440\) | 1.14996 | − | 1.99178i | 0.0548221 | − | 0.0949546i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −24.2500 | + | 10.1564i | −1.15345 | + | 0.483090i | ||||
\(443\) | −23.5883 | −1.12071 | −0.560357 | − | 0.828251i | \(-0.689336\pi\) | ||||
−0.560357 | + | 0.828251i | \(0.689336\pi\) | |||||||
\(444\) | −0.468518 | + | 0.811497i | −0.0222349 | + | 0.0385119i | ||||
\(445\) | −4.85806 | + | 8.41440i | −0.230294 | + | 0.398881i | ||||
\(446\) | 9.45296 | + | 16.3730i | 0.447611 | + | 0.775284i | ||||
\(447\) | −36.4118 | −1.72222 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.41328 | − | 2.44787i | −0.0666968 | − | 0.115522i | 0.830749 | − | 0.556648i | \(-0.187913\pi\) |
−0.897445 | + | 0.441125i | \(0.854579\pi\) | |||||||
\(450\) | 10.7604 | 0.507248 | ||||||||
\(451\) | 1.03067 | + | 1.78518i | 0.0485324 | + | 0.0840607i | ||||
\(452\) | −0.805272 | + | 1.39477i | −0.0378768 | + | 0.0656046i | ||||
\(453\) | −16.7944 | + | 29.0887i | −0.789068 | + | 1.36671i | ||||
\(454\) | 1.87812 | 0.0881444 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.18691 | −0.430217 | ||||||||
\(457\) | 18.8716 | − | 32.6866i | 0.882776 | − | 1.52901i | 0.0345338 | − | 0.999404i | \(-0.489005\pi\) |
0.848242 | − | 0.529609i | \(-0.177661\pi\) | |||||||
\(458\) | −4.98444 | + | 8.63330i | −0.232908 | + | 0.403408i | ||||
\(459\) | −7.54017 | − | 13.0599i | −0.351945 | − | 0.609586i | ||||
\(460\) | −0.326997 | −0.0152463 | ||||||||
\(461\) | −17.3293 | − | 30.0152i | −0.807106 | − | 1.39795i | −0.914860 | − | 0.403771i | \(-0.867699\pi\) |
0.107754 | − | 0.994178i | \(-0.465634\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.5114 | 0.860296 | 0.430148 | − | 0.902758i | \(-0.358461\pi\) | ||||
0.430148 | + | 0.902758i | \(0.358461\pi\) | |||||||
\(464\) | 15.6036 | + | 27.0262i | 0.724377 | + | 1.25466i | ||||
\(465\) | 3.81365 | − | 6.60543i | 0.176854 | − | 0.306320i | ||||
\(466\) | 4.78958 | − | 8.29579i | 0.221873 | − | 0.384295i | ||||
\(467\) | 6.62783 | 0.306700 | 0.153350 | − | 0.988172i | \(-0.450994\pi\) | ||||
0.153350 | + | 0.988172i | \(0.450994\pi\) | |||||||
\(468\) | 0.217161 | − | 1.70108i | 0.0100383 | − | 0.0786326i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.208321 | + | 0.360823i | −0.00960915 | + | 0.0166435i | ||||
\(471\) | −4.02227 | + | 6.96678i | −0.185337 | + | 0.321012i | ||||
\(472\) | −15.2360 | − | 26.3895i | −0.701293 | − | 1.21468i | ||||
\(473\) | −17.5795 | −0.808305 | ||||||||
\(474\) | −24.1902 | − | 41.8987i | −1.11109 | − | 1.92447i | ||||
\(475\) | −3.91730 | − | 6.78497i | −0.179738 | − | 0.311316i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.27076 | − | 10.8613i | −0.287118 | − | 0.497304i | ||||
\(478\) | −14.3860 | + | 24.9173i | −0.658001 | + | 1.13969i | ||||
\(479\) | 8.72630 | − | 15.1144i | 0.398715 | − | 0.690594i | −0.594853 | − | 0.803835i | \(-0.702790\pi\) |
0.993568 | + | 0.113240i | \(0.0361230\pi\) | |||||||
\(480\) | −2.19774 | −0.100313 | ||||||||
\(481\) | 0.643379 | − | 5.03978i | 0.0293355 | − | 0.229794i | ||||
\(482\) | 33.9083 | 1.54448 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.35848 | − | 2.35295i | 0.0617489 | − | 0.106952i | ||||
\(485\) | 0.286995 | + | 0.497090i | 0.0130318 | + | 0.0225717i | ||||
\(486\) | 22.0261 | 0.999126 | ||||||||
\(487\) | 17.7569 | + | 30.7558i | 0.804641 | + | 1.39368i | 0.916533 | + | 0.399959i | \(0.130976\pi\) |
−0.111892 | + | 0.993720i | \(0.535691\pi\) | |||||||
\(488\) | 3.18196 | + | 5.51132i | 0.144041 | + | 0.249486i | ||||
\(489\) | 3.64754 | 0.164948 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.9059 | − | 25.8178i | 0.672695 | − | 1.16514i | −0.304442 | − | 0.952531i | \(-0.598470\pi\) |
0.977137 | − | 0.212611i | \(-0.0681966\pi\) | |||||||
\(492\) | 0.450674 | − | 0.780590i | 0.0203179 | − | 0.0351917i | ||||
\(493\) | −33.0481 | −1.48841 | ||||||||
\(494\) | −8.51650 | + | 3.56689i | −0.383175 | + | 0.160482i | ||||
\(495\) | −1.36312 | −0.0612675 | ||||||||
\(496\) | 13.7787 | − | 23.8653i | 0.618680 | − | 1.07159i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −16.3649 | − | 28.3449i | −0.733331 | − | 1.27017i | ||||
\(499\) | −7.50966 | −0.336178 | −0.168089 | − | 0.985772i | \(-0.553760\pi\) | ||||
−0.168089 | + | 0.985772i | \(0.553760\pi\) | |||||||
\(500\) | −0.889649 | − | 1.54092i | −0.0397863 | − | 0.0689119i | ||||
\(501\) | 13.4505 | + | 23.2970i | 0.600925 | + | 1.04083i | ||||
\(502\) | −10.5742 | −0.471948 | ||||||||
\(503\) | −0.492171 | − | 0.852466i | −0.0219448 | − | 0.0380096i | 0.854844 | − | 0.518884i | \(-0.173652\pi\) |
−0.876789 | + | 0.480875i | \(0.840319\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.866474 | − | 1.50078i | 0.0385576 | − | 0.0667837i | ||||
\(506\) | −4.10269 | −0.182387 | ||||||||
\(507\) | 7.36339 | + | 26.6419i | 0.327019 | + | 1.18321i | ||||
\(508\) | −2.81580 | −0.124931 | ||||||||
\(509\) | −6.48958 | + | 11.2403i | −0.287646 | + | 0.498217i | −0.973247 | − | 0.229760i | \(-0.926206\pi\) |
0.685602 | + | 0.727977i | \(0.259539\pi\) | |||||||
\(510\) | 4.56893 | − | 7.91362i | 0.202316 | − | 0.350421i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 15.2950 | 0.675949 | ||||||||
\(513\) | −2.64808 | − | 4.58661i | −0.116916 | − | 0.202504i | ||||
\(514\) | −16.0861 | − | 27.8619i | −0.709527 | − | 1.22894i | ||||
\(515\) | 0.311600 | 0.0137308 | ||||||||
\(516\) | 3.84342 | + | 6.65699i | 0.169197 | + | 0.293058i | ||||
\(517\) | −0.353452 | + | 0.612196i | −0.0155448 | + | 0.0269244i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 24.4247 | 1.07212 | ||||||||
\(520\) | 5.02949 | − | 2.10646i | 0.220558 | − | 0.0923742i | ||||
\(521\) | −19.4146 | −0.850569 | −0.425285 | − | 0.905060i | \(-0.639826\pi\) | ||||
−0.425285 | + | 0.905060i | \(0.639826\pi\) | |||||||
\(522\) | 7.97033 | − | 13.8050i | 0.348852 | − | 0.604229i | ||||
\(523\) | −13.6360 | + | 23.6182i | −0.596259 | + | 1.03275i | 0.397109 | + | 0.917771i | \(0.370013\pi\) |
−0.993368 | + | 0.114979i | \(0.963320\pi\) | |||||||
\(524\) | 1.06311 | + | 1.84135i | 0.0464420 | + | 0.0804399i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.41000 | − | 11.1024i | −0.279489 | − | 0.484090i | ||||
\(527\) | 14.5915 | + | 25.2732i | 0.635616 | + | 1.10092i | ||||
\(528\) | −14.6402 | −0.637134 | ||||||||
\(529\) | 9.92656 | + | 17.1933i | 0.431590 | + | 0.747535i | ||||
\(530\) | −3.69593 | + | 6.40154i | −0.160541 | + | 0.278065i | ||||
\(531\) | −9.03008 | + | 15.6406i | −0.391872 | + | 0.678742i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.618874 | + | 4.84783i | −0.0268064 | + | 0.209983i | ||||
\(534\) | 53.3040 | 2.30669 | ||||||||
\(535\) | −5.69422 | + | 9.86268i | −0.246183 | + | 0.426401i | ||||
\(536\) | 9.71566 | − | 16.8280i | 0.419652 | − | 0.726859i | ||||
\(537\) | 2.32236 | + | 4.02245i | 0.100217 | + | 0.173582i | ||||
\(538\) | −8.86670 | −0.382271 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.289878 | − | 0.502083i | −0.0124743 | − | 0.0216062i | ||||
\(541\) | −30.0990 | −1.29406 | −0.647029 | − | 0.762465i | \(-0.723989\pi\) | ||||
−0.647029 | + | 0.762465i | \(0.723989\pi\) | |||||||
\(542\) | −14.0139 | − | 24.2727i | −0.601947 | − | 1.04260i | ||||
\(543\) | −12.3300 | + | 21.3562i | −0.529132 | + | 0.916483i | ||||
\(544\) | 4.20442 | − | 7.28228i | 0.180263 | − | 0.312225i | ||||
\(545\) | 3.37863 | 0.144724 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.1451 | −1.11788 | −0.558942 | − | 0.829207i | \(-0.688793\pi\) | ||||
−0.558942 | + | 0.829207i | \(0.688793\pi\) | |||||||
\(548\) | 2.20108 | − | 3.81238i | 0.0940255 | − | 0.162857i | ||||
\(549\) | 1.88589 | − | 3.26646i | 0.0804878 | − | 0.139409i | ||||
\(550\) | −5.38018 | − | 9.31874i | −0.229411 | − | 0.397352i | ||||
\(551\) | −11.6064 | −0.494449 | ||||||||
\(552\) | −4.83905 | − | 8.38147i | −0.205963 | − | 0.356739i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 9.40305 | 0.399497 | ||||||||
\(555\) | 0.882938 | + | 1.52929i | 0.0374786 | + | 0.0649149i | ||||
\(556\) | 2.70316 | − | 4.68200i | 0.114639 | − | 0.198561i | ||||
\(557\) | −8.95317 | + | 15.5073i | −0.379358 | + | 0.657067i | −0.990969 | − | 0.134091i | \(-0.957188\pi\) |
0.611611 | + | 0.791159i | \(0.290522\pi\) | |||||||
\(558\) | −14.0763 | −0.595899 | ||||||||
\(559\) | −33.1652 | − | 25.2423i | −1.40274 | − | 1.06764i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 7.75195 | − | 13.4268i | 0.327287 | − | 0.566878i | ||||
\(562\) | −4.28895 | + | 7.42868i | −0.180919 | + | 0.313360i | ||||
\(563\) | 15.8275 | + | 27.4140i | 0.667048 | + | 1.15536i | 0.978726 | + | 0.205173i | \(0.0657756\pi\) |
−0.311678 | + | 0.950188i | \(0.600891\pi\) | |||||||
\(564\) | 0.309102 | 0.0130155 | ||||||||
\(565\) | 1.51756 | + | 2.62850i | 0.0638443 | + | 0.110582i | ||||
\(566\) | 12.5125 | + | 21.6722i | 0.525939 | + | 0.910953i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.47358 | − | 14.6767i | −0.355544 | − | 0.615820i | ||||
\(569\) | 13.0555 | − | 22.6129i | 0.547317 | − | 0.947981i | −0.451140 | − | 0.892453i | \(-0.648983\pi\) |
0.998457 | − | 0.0555278i | \(-0.0176841\pi\) | |||||||
\(570\) | 1.60459 | − | 2.77923i | 0.0672089 | − | 0.116409i | ||||
\(571\) | 13.3041 | 0.556760 | 0.278380 | − | 0.960471i | \(-0.410203\pi\) | ||||
0.278380 | + | 0.960471i | \(0.410203\pi\) | |||||||
\(572\) | −1.58176 | + | 0.662475i | −0.0661368 | + | 0.0276995i | ||||
\(573\) | 37.7599 | 1.57744 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.12674 | − | 7.14773i | 0.172097 | − | 0.298081i | ||||
\(576\) | −4.85760 | − | 8.41361i | −0.202400 | − | 0.350567i | ||||
\(577\) | −16.7713 | −0.698198 | −0.349099 | − | 0.937086i | \(-0.613512\pi\) | ||||
−0.349099 | + | 0.937086i | \(0.613512\pi\) | |||||||
\(578\) | 4.55474 | + | 7.88904i | 0.189452 | + | 0.328141i | ||||
\(579\) | −24.0665 | − | 41.6844i | −1.00017 | − | 1.73234i | ||||
\(580\) | −1.27052 | −0.0527554 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.57450 | − | 2.72711i | 0.0652650 | − | 0.113042i | ||||
\(583\) | −6.27076 | + | 10.8613i | −0.259708 | + | 0.449828i | ||||
\(584\) | 42.0071 | 1.73827 | ||||||||
\(585\) | −2.57164 | − | 1.95729i | −0.106324 | − | 0.0809241i | ||||
\(586\) | 46.5617 | 1.92345 | ||||||||
\(587\) | 5.03261 | − | 8.71673i | 0.207718 | − | 0.359778i | −0.743277 | − | 0.668983i | \(-0.766730\pi\) |
0.950995 | + | 0.309205i | \(0.100063\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.12448 | + | 8.87587i | 0.211151 | + | 0.365724i | ||||
\(590\) | 10.6445 | 0.438227 | ||||||||
\(591\) | −21.2688 | − | 36.8387i | −0.874883 | − | 1.51534i | ||||
\(592\) | 3.19004 | + | 5.52532i | 0.131110 | + | 0.227089i | ||||
\(593\) | 39.4322 | 1.61929 | 0.809643 | − | 0.586923i | \(-0.199661\pi\) | ||||
0.809643 | + | 0.586923i | \(0.199661\pi\) | |||||||
\(594\) | −3.63697 | − | 6.29942i | −0.149227 | − | 0.258468i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.67797 | − | 4.63838i | 0.109694 | − | 0.189995i | ||||
\(597\) | 3.93105 | 0.160887 | ||||||||
\(598\) | −7.74009 | − | 5.89104i | −0.316516 | − | 0.240902i | ||||
\(599\) | 13.7720 | 0.562709 | 0.281355 | − | 0.959604i | \(-0.409216\pi\) | ||||
0.281355 | + | 0.959604i | \(0.409216\pi\) | |||||||
\(600\) | 12.6916 | − | 21.9825i | 0.518133 | − | 0.897433i | ||||
\(601\) | −16.6312 | + | 28.8060i | −0.678399 | + | 1.17502i | 0.297064 | + | 0.954858i | \(0.403993\pi\) |
−0.975463 | + | 0.220164i | \(0.929341\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.5166 | −0.468991 | ||||||||
\(604\) | −2.47034 | − | 4.27876i | −0.100517 | − | 0.174100i | ||||
\(605\) | −2.56009 | − | 4.43421i | −0.104083 | − | 0.180276i | ||||
\(606\) | −9.50720 | −0.386204 | ||||||||
\(607\) | −21.9824 | − | 38.0747i | −0.892240 | − | 1.54540i | −0.837184 | − | 0.546921i | \(-0.815800\pi\) |
−0.0550554 | − | 0.998483i | \(-0.517534\pi\) | |||||||
\(608\) | 1.47658 | − | 2.55751i | 0.0598831 | − | 0.103721i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.22305 | −0.0900088 | ||||||||
\(611\) | −1.54587 | + | 0.647442i | −0.0625391 | + | 0.0261927i | ||||
\(612\) | −2.28052 | −0.0921846 | ||||||||
\(613\) | −1.35045 | + | 2.33906i | −0.0545443 | + | 0.0944736i | −0.892008 | − | 0.452019i | \(-0.850704\pi\) |
0.837464 | + | 0.546492i | \(0.184037\pi\) | |||||||
\(614\) | 7.57361 | − | 13.1179i | 0.305646 | − | 0.529394i | ||||
\(615\) | −0.849310 | − | 1.47105i | −0.0342475 | − | 0.0593184i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.00208 | − | 5.19975i | −0.120859 | − | 0.209334i | 0.799248 | − | 0.601002i | \(-0.205232\pi\) |
−0.920107 | + | 0.391668i | \(0.871898\pi\) | |||||||
\(618\) | −0.854742 | − | 1.48046i | −0.0343828 | − | 0.0595527i | ||||
\(619\) | −13.3641 | −0.537148 | −0.268574 | − | 0.963259i | \(-0.586552\pi\) | ||||
−0.268574 | + | 0.963259i | \(0.586552\pi\) | |||||||
\(620\) | 0.560963 | + | 0.971616i | 0.0225288 | + | 0.0390210i | ||||
\(621\) | 2.78966 | − | 4.83183i | 0.111945 | − | 0.193895i | ||||
\(622\) | −21.0983 | + | 36.5433i | −0.845963 | + | 1.46525i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −27.6201 | − | 21.0218i | −1.10569 | − | 0.841547i | ||||
\(625\) | 19.9099 | 0.796398 | ||||||||
\(626\) | 12.5637 | − | 21.7609i | 0.502145 | − | 0.869741i | ||||
\(627\) | 2.72245 | − | 4.71543i | 0.108724 | − | 0.188316i | ||||
\(628\) | −0.591650 | − | 1.02477i | −0.0236094 | − | 0.0408927i | ||||
\(629\) | −6.75647 | −0.269398 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −20.2228 | − | 35.0270i | −0.805059 | − | 1.39440i | −0.916251 | − | 0.400604i | \(-0.868800\pi\) |
0.111192 | − | 0.993799i | \(-0.464533\pi\) | |||||||
\(632\) | −38.3921 | −1.52716 | ||||||||
\(633\) | 17.1899 | + | 29.7737i | 0.683236 | + | 1.18340i | ||||
\(634\) | 18.0054 | − | 31.1863i | 0.715086 | − | 1.23857i | ||||
\(635\) | −2.65324 | + | 4.59554i | −0.105291 | + | 0.182369i | ||||
\(636\) | 5.48393 | 0.217452 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −15.9407 | −0.631097 | ||||||||
\(639\) | −5.02213 | + | 8.69859i | −0.198672 | + | 0.344111i | ||||
\(640\) | −3.89667 | + | 6.74923i | −0.154029 | + | 0.266787i | ||||
\(641\) | −5.10991 | − | 8.85062i | −0.201829 | − | 0.349578i | 0.747289 | − | 0.664500i | \(-0.231355\pi\) |
−0.949118 | + | 0.314921i | \(0.898022\pi\) | |||||||
\(642\) | 62.4786 | 2.46584 | ||||||||
\(643\) | −15.9014 | − | 27.5420i | −0.627088 | − | 1.08615i | −0.988133 | − | 0.153600i | \(-0.950913\pi\) |
0.361045 | − | 0.932548i | \(-0.382420\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 14.4861 | 0.570389 | ||||||||
\(646\) | 6.13937 | + | 10.6337i | 0.241550 | + | 0.418378i | ||||
\(647\) | 17.2617 | − | 29.8981i | 0.678626 | − | 1.17541i | −0.296769 | − | 0.954949i | \(-0.595909\pi\) |
0.975395 | − | 0.220465i | \(-0.0707575\pi\) | |||||||
\(648\) | 14.4328 | − | 24.9983i | 0.566972 | − | 0.982025i | ||||
\(649\) | 18.0602 | 0.708923 | ||||||||
\(650\) | 3.23057 | − | 25.3060i | 0.126713 | − | 0.992582i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.268265 | + | 0.464649i | −0.0105061 | + | 0.0181970i | ||||
\(653\) | −5.05899 | + | 8.76244i | −0.197974 | + | 0.342901i | −0.947871 | − | 0.318653i | \(-0.896769\pi\) |
0.749898 | + | 0.661554i | \(0.230103\pi\) | |||||||
\(654\) | −9.26781 | − | 16.0523i | −0.362400 | − | 0.627695i | ||||
\(655\) | 4.00692 | 0.156563 | ||||||||
\(656\) | −3.06855 | − | 5.31488i | −0.119807 | − | 0.207511i | ||||
\(657\) | −12.4484 | − | 21.5613i | −0.485659 | − | 0.841185i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 17.3841 | + | 30.1101i | 0.677187 | + | 1.17292i | 0.975824 | + | 0.218556i | \(0.0701345\pi\) |
−0.298637 | + | 0.954367i | \(0.596532\pi\) | |||||||
\(660\) | 0.298019 | − | 0.516185i | 0.0116004 | − | 0.0200925i | ||||
\(661\) | 8.28076 | − | 14.3427i | 0.322084 | − | 0.557866i | −0.658834 | − | 0.752289i | \(-0.728950\pi\) |
0.980918 | + | 0.194422i | \(0.0622833\pi\) | |||||||
\(662\) | −12.0933 | −0.470020 | ||||||||
\(663\) | 33.9042 | − | 14.1998i | 1.31673 | − | 0.551474i | ||||
\(664\) | −25.9727 | −1.00794 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.62948 | − | 2.82234i | 0.0631411 | − | 0.109364i | ||||
\(667\) | −6.11346 | − | 10.5888i | −0.236714 | − | 0.410001i | ||||
\(668\) | −3.95697 | −0.153100 | ||||||||
\(669\) | −13.2163 | − | 22.8913i | −0.510972 | − | 0.885029i | ||||
\(670\) | 3.39388 | + | 5.87838i | 0.131117 | + | 0.227102i | ||||
\(671\) | −3.77178 | −0.145608 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 20.9437 | − | 36.2756i | 0.807321 | − | 1.39832i | −0.107393 | − | 0.994217i | \(-0.534250\pi\) |
0.914713 | − | 0.404104i | \(-0.132417\pi\) | |||||||
\(674\) | −6.01714 | + | 10.4220i | −0.231771 | + | 0.401440i | ||||
\(675\) | 14.6332 | 0.563231 | ||||||||
\(676\) | −3.93538 | − | 1.02143i | −0.151361 | − | 0.0392857i | ||||
\(677\) | −31.5715 | −1.21339 | −0.606696 | − | 0.794934i | \(-0.707505\pi\) | ||||
−0.606696 | + | 0.794934i | \(0.707505\pi\) | |||||||
\(678\) | 8.32556 | − | 14.4203i | 0.319741 | − | 0.553808i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.62566 | − | 6.27983i | −0.139038 | − | 0.240820i | ||||
\(681\) | −2.62582 | −0.100621 | ||||||||
\(682\) | 7.03817 | + | 12.1905i | 0.269505 | + | 0.466797i | ||||
\(683\) | 13.1338 | + | 22.7484i | 0.502551 | + | 0.870444i | 0.999996 | + | 0.00294809i | \(0.000938408\pi\) |
−0.497445 | + | 0.867496i | \(0.665728\pi\) | |||||||
\(684\) | −0.800911 | −0.0306236 | ||||||||
\(685\) | −4.14801 | − | 7.18457i | −0.158487 | − | 0.274508i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.96880 | − | 12.0703i | 0.265876 | − | 0.460512i | ||||
\(688\) | 52.3381 | 1.99537 | ||||||||
\(689\) | −27.4260 | + | 11.4866i | −1.04485 | + | 0.437604i | ||||
\(690\) | 3.38076 | 0.128703 | ||||||||
\(691\) | −3.05047 | + | 5.28358i | −0.116046 | + | 0.200997i | −0.918197 | − | 0.396124i | \(-0.870355\pi\) |
0.802152 | + | 0.597120i | \(0.203689\pi\) | |||||||
\(692\) | −1.79635 | + | 3.11138i | −0.0682872 | + | 0.118277i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.8518 | −0.411929 | ||||||||
\(695\) | −5.09419 | − | 8.82339i | −0.193234 | − | 0.334690i | ||||
\(696\) | −18.8017 | − | 32.5655i | −0.712677 | − | 1.23439i | ||||
\(697\) | 6.49914 | 0.246172 | ||||||||
\(698\) | 1.04690 | + | 1.81329i | 0.0396259 | + | 0.0686341i | ||||
\(699\) | −6.69636 | + | 11.5984i | −0.253280 | + | 0.438693i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.5701 | −0.776921 | −0.388461 | − | 0.921465i | \(-0.626993\pi\) | ||||
−0.388461 | + | 0.921465i | \(0.626993\pi\) | |||||||
\(702\) | 2.18385 | − | 17.1067i | 0.0824240 | − | 0.645652i | ||||
\(703\) | −2.37285 | −0.0894936 | ||||||||
\(704\) | −4.85760 | + | 8.41361i | −0.183078 | + | 0.317100i | ||||
\(705\) | 0.291257 | − | 0.504471i | 0.0109694 | − | 0.0189995i | ||||
\(706\) | 0.527111 | + | 0.912984i | 0.0198381 | + | 0.0343606i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −3.94851 | − | 6.83902i | −0.148394 | − | 0.257026i | ||||
\(709\) | 21.5764 | + | 37.3715i | 0.810320 | + | 1.40352i | 0.912640 | + | 0.408764i | \(0.134040\pi\) |
−0.102320 | + | 0.994751i | \(0.532627\pi\) | |||||||
\(710\) | 5.92000 | 0.222174 | ||||||||
\(711\) | 11.3771 | + | 19.7058i | 0.426676 | + | 0.739025i | ||||
\(712\) | 21.1496 | − | 36.6322i | 0.792615 | − | 1.37285i | ||||
\(713\) | −5.39847 | + | 9.35042i | −0.202174 | + | 0.350176i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.409246 | + | 3.20575i | −0.0153050 | + | 0.119888i | ||||
\(716\) | −0.683209 | −0.0255327 | ||||||||
\(717\) | 20.1132 | − | 34.8372i | 0.751143 | − | 1.30102i | ||||
\(718\) | −4.41302 | + | 7.64357i | −0.164692 | + | 0.285255i | ||||
\(719\) | −14.1042 | − | 24.4292i | −0.525999 | − | 0.911057i | −0.999541 | − | 0.0302857i | \(-0.990358\pi\) |
0.473542 | − | 0.880771i | \(-0.342975\pi\) | |||||||
\(720\) | 4.05831 | 0.151244 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −12.2912 | − | 21.2890i | −0.457432 | − | 0.792295i | ||||
\(723\) | −47.4076 | −1.76311 | ||||||||
\(724\) | −1.81367 | − | 3.14136i | −0.0674044 | − | 0.116748i | ||||
\(725\) | 16.0341 | − | 27.7719i | 0.595492 | − | 1.03142i | ||||
\(726\) | −14.0450 | + | 24.3267i | −0.521260 | + | 0.902850i | ||||
\(727\) | 19.5116 | 0.723646 | 0.361823 | − | 0.932247i | \(-0.382155\pi\) | ||||
0.361823 | + | 0.932247i | \(0.382155\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 2.95370 | 0.109396 | ||||||||
\(730\) | −7.33698 | + | 12.7080i | −0.271554 | + | 0.470345i | ||||
\(731\) | −27.7128 | + | 48.0000i | −1.02500 | + | 1.77535i | ||||
\(732\) | 0.824628 | + | 1.42830i | 0.0304791 | + | 0.0527914i | ||||
\(733\) | −20.3666 | −0.752259 | −0.376129 | − | 0.926567i | \(-0.622745\pi\) | ||||
−0.376129 | + | 0.926567i | \(0.622745\pi\) | |||||||
\(734\) | 5.59003 | + | 9.68222i | 0.206332 | + | 0.357377i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.11105 | 0.114675 | ||||||||
\(737\) | 5.75829 | + | 9.97364i | 0.212109 | + | 0.367384i | ||||
\(738\) | −1.56742 | + | 2.71485i | −0.0576975 | + | 0.0999349i | ||||
\(739\) | 5.20995 | − | 9.02391i | 0.191651 | − | 0.331950i | −0.754146 | − | 0.656706i | \(-0.771949\pi\) |
0.945798 | + | 0.324757i | \(0.105282\pi\) | |||||||
\(740\) | −0.259749 | −0.00954856 | ||||||||
\(741\) | 11.9070 | − | 4.98691i | 0.437415 | − | 0.183199i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 8.70470 | − | 15.0770i | 0.319344 | − | 0.553121i | −0.661007 | − | 0.750380i | \(-0.729871\pi\) |
0.980351 | + | 0.197259i | \(0.0632040\pi\) | |||||||
\(744\) | −16.6028 | + | 28.7568i | −0.608687 | + | 1.05428i | ||||
\(745\) | −5.04672 | − | 8.74118i | −0.184898 | − | 0.320252i | ||||
\(746\) | −27.9805 | −1.02444 | ||||||||
\(747\) | 7.69677 | + | 13.3312i | 0.281610 | + | 0.487763i | ||||
\(748\) | 1.14026 | + | 1.97499i | 0.0416921 | + | 0.0722128i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 9.19792 | + | 15.9313i | 0.335861 | + | 0.581728i | ||||
\(751\) | 0.907626 | − | 1.57205i | 0.0331197 | − | 0.0573651i | −0.848990 | − | 0.528408i | \(-0.822789\pi\) |
0.882110 | + | 0.471043i | \(0.156122\pi\) | |||||||
\(752\) | 1.05231 | − | 1.82265i | 0.0383737 | − | 0.0664652i | ||||
\(753\) | 14.7839 | 0.538754 | ||||||||
\(754\) | −30.0734 | − | 22.8891i | −1.09521 | − | 0.833573i | ||||
\(755\) | −9.31088 | −0.338858 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −26.7814 | + | 46.3867i | −0.973385 | + | 1.68595i | −0.288220 | + | 0.957564i | \(0.593063\pi\) |
−0.685165 | + | 0.728388i | \(0.740270\pi\) | |||||||
\(758\) | −3.68864 | − | 6.38892i | −0.133978 | − | 0.232056i | ||||
\(759\) | 5.73602 | 0.208204 | ||||||||
\(760\) | −1.27332 | − | 2.20545i | −0.0461881 | − | 0.0800001i | ||||
\(761\) | 1.84083 | + | 3.18841i | 0.0667300 | + | 0.115580i | 0.897460 | − | 0.441096i | \(-0.145410\pi\) |
−0.830730 | + | 0.556675i | \(0.812077\pi\) | |||||||
\(762\) | 29.1121 | 1.05462 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.77711 | + | 4.81010i | −0.100472 | + | 0.174023i | ||||
\(765\) | −2.14886 | + | 3.72193i | −0.0776922 | + | 0.134567i | ||||
\(766\) | 34.7048 | 1.25394 | ||||||||
\(767\) | 34.0721 | + | 25.9325i | 1.23027 | + | 0.936369i | ||||
\(768\) | 15.5895 | 0.562538 | ||||||||
\(769\) | 2.61897 | − | 4.53619i | 0.0944424 | − | 0.163579i | −0.814933 | − | 0.579555i | \(-0.803227\pi\) |
0.909376 | + | 0.415976i | \(0.136560\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.4902 | + | 38.9541i | 0.809963 | + | 1.40290i | ||||
\(772\) | 7.08004 | 0.254816 | ||||||||
\(773\) | −20.3069 | − | 35.1726i | −0.730388 | − | 1.26507i | −0.956717 | − | 0.291019i | \(-0.906006\pi\) |
0.226329 | − | 0.974051i | \(-0.427328\pi\) | |||||||
\(774\) | −13.3672 | − | 23.1527i | −0.480474 | − | 0.832205i | ||||
\(775\) | −28.3177 | −1.01720 | ||||||||
\(776\) | −1.24944 | − | 2.16409i | −0.0448522 | − | 0.0776862i |