Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(13,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.k (of order \(20\), degree \(8\), 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: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 37.5 | ||
Character | \(\chi\) | \(=\) | 75.37 |
Dual form | 75.3.k.a.73.5 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0337531 | + | 0.213109i | 0.0168766 | + | 0.106554i | 0.994689 | − | 0.102929i | \(-0.0328216\pi\) |
−0.977812 | + | 0.209484i | \(0.932822\pi\) | |||||||
\(3\) | 1.54327 | + | 0.786335i | 0.514423 | + | 0.262112i | ||||
\(4\) | 3.75995 | − | 1.22168i | 0.939987 | − | 0.305420i | ||||
\(5\) | −2.09142 | − | 4.54158i | −0.418283 | − | 0.908317i | ||||
\(6\) | −0.115485 | + | 0.355426i | −0.0192475 | + | 0.0592376i | ||||
\(7\) | 2.53517 | + | 2.53517i | 0.362168 | + | 0.362168i | 0.864610 | − | 0.502443i | \(-0.167565\pi\) |
−0.502443 | + | 0.864610i | \(0.667565\pi\) | |||||||
\(8\) | 0.779083 | + | 1.52904i | 0.0973854 | + | 0.191130i | ||||
\(9\) | 1.76336 | + | 2.42705i | 0.195928 | + | 0.269672i | ||||
\(10\) | 0.897260 | − | 0.598992i | 0.0897260 | − | 0.0598992i | ||||
\(11\) | −2.33076 | − | 1.69340i | −0.211887 | − | 0.153945i | 0.476780 | − | 0.879023i | \(-0.341804\pi\) |
−0.688667 | + | 0.725078i | \(0.741804\pi\) | |||||||
\(12\) | 6.76326 | + | 1.07120i | 0.563605 | + | 0.0892663i | ||||
\(13\) | −2.20044 | + | 13.8930i | −0.169264 | + | 1.06869i | 0.746032 | + | 0.665910i | \(0.231957\pi\) |
−0.915296 | + | 0.402782i | \(0.868043\pi\) | |||||||
\(14\) | −0.454698 | + | 0.625838i | −0.0324784 | + | 0.0447027i | ||||
\(15\) | 0.343588 | − | 8.65344i | 0.0229058 | − | 0.576896i | ||||
\(16\) | 12.4941 | − | 9.07747i | 0.780879 | − | 0.567342i | ||||
\(17\) | 1.71203 | − | 0.872322i | 0.100708 | − | 0.0513130i | −0.402911 | − | 0.915239i | \(-0.632002\pi\) |
0.503619 | + | 0.863926i | \(0.332002\pi\) | |||||||
\(18\) | −0.457707 | + | 0.457707i | −0.0254282 | + | 0.0254282i | ||||
\(19\) | −19.5166 | − | 6.34131i | −1.02719 | − | 0.333753i | −0.253509 | − | 0.967333i | \(-0.581585\pi\) |
−0.773677 | + | 0.633580i | \(0.781585\pi\) | |||||||
\(20\) | −13.4120 | − | 14.5211i | −0.670599 | − | 0.726054i | ||||
\(21\) | 1.91896 | + | 5.90595i | 0.0913790 | + | 0.281236i | ||||
\(22\) | 0.282208 | − | 0.553864i | 0.0128276 | − | 0.0251756i | ||||
\(23\) | −25.3336 | + | 4.01245i | −1.10146 | + | 0.174454i | −0.680589 | − | 0.732665i | \(-0.738276\pi\) |
−0.420872 | + | 0.907120i | \(0.638276\pi\) | |||||||
\(24\) | 2.97233i | 0.123847i | ||||||||
\(25\) | −16.2520 | + | 18.9967i | −0.650078 | + | 0.759867i | ||||
\(26\) | −3.03499 | −0.116731 | ||||||||
\(27\) | 0.812857 | + | 5.13218i | 0.0301058 | + | 0.190081i | ||||
\(28\) | 12.6293 | + | 6.43495i | 0.451047 | + | 0.229820i | ||||
\(29\) | −44.5241 | + | 14.4668i | −1.53531 | + | 0.498854i | −0.950079 | − | 0.312010i | \(-0.898998\pi\) |
−0.585235 | + | 0.810864i | \(0.698998\pi\) | |||||||
\(30\) | 1.85572 | − | 0.218859i | 0.0618574 | − | 0.00729530i | ||||
\(31\) | 10.3207 | − | 31.7640i | 0.332927 | − | 1.02464i | −0.634807 | − | 0.772671i | \(-0.718920\pi\) |
0.967734 | − | 0.251974i | \(-0.0810797\pi\) | |||||||
\(32\) | 7.21000 | + | 7.21000i | 0.225313 | + | 0.225313i | ||||
\(33\) | −2.26541 | − | 4.44613i | −0.0686489 | − | 0.134731i | ||||
\(34\) | 0.243686 | + | 0.335405i | 0.00716723 | + | 0.00986485i | ||||
\(35\) | 6.21160 | − | 16.8158i | 0.177474 | − | 0.480452i | ||||
\(36\) | 9.59521 | + | 6.97133i | 0.266534 | + | 0.193648i | ||||
\(37\) | 43.7173 | + | 6.92413i | 1.18155 | + | 0.187139i | 0.716139 | − | 0.697957i | \(-0.245908\pi\) |
0.465408 | + | 0.885096i | \(0.345908\pi\) | |||||||
\(38\) | 0.692645 | − | 4.37319i | 0.0182275 | − | 0.115084i | ||||
\(39\) | −14.3204 | + | 19.7104i | −0.367190 | + | 0.505394i | ||||
\(40\) | 5.31486 | − | 6.73612i | 0.132872 | − | 0.168403i | ||||
\(41\) | 39.3860 | − | 28.6156i | 0.960635 | − | 0.697942i | 0.00733688 | − | 0.999973i | \(-0.497665\pi\) |
0.953298 | + | 0.302031i | \(0.0976646\pi\) | |||||||
\(42\) | −1.19384 | + | 0.608292i | −0.0284248 | + | 0.0144831i | ||||
\(43\) | −28.7978 | + | 28.7978i | −0.669717 | + | 0.669717i | −0.957650 | − | 0.287934i | \(-0.907032\pi\) |
0.287934 | + | 0.957650i | \(0.407032\pi\) | |||||||
\(44\) | −10.8323 | − | 3.51964i | −0.246190 | − | 0.0799918i | ||||
\(45\) | 7.33474 | − | 13.0844i | 0.162994 | − | 0.290764i | ||||
\(46\) | −1.71018 | − | 5.26339i | −0.0371778 | − | 0.114421i | ||||
\(47\) | 2.73434 | − | 5.36644i | 0.0581774 | − | 0.114180i | −0.860087 | − | 0.510147i | \(-0.829591\pi\) |
0.918264 | + | 0.395968i | \(0.129591\pi\) | |||||||
\(48\) | 26.4196 | − | 4.18446i | 0.550409 | − | 0.0871762i | ||||
\(49\) | − | 36.1458i | − | 0.737669i | ||||||
\(50\) | −4.59692 | − | 2.82224i | −0.0919383 | − | 0.0564448i | ||||
\(51\) | 3.32806 | 0.0652560 | ||||||||
\(52\) | 8.69930 | + | 54.9252i | 0.167294 | + | 1.05625i | ||||
\(53\) | 74.3421 | + | 37.8792i | 1.40268 | + | 0.714702i | 0.981354 | − | 0.192207i | \(-0.0615647\pi\) |
0.421326 | + | 0.906909i | \(0.361565\pi\) | |||||||
\(54\) | −1.06628 | + | 0.346454i | −0.0197459 | + | 0.00641582i | ||||
\(55\) | −2.81611 | + | 14.1269i | −0.0512021 | + | 0.256854i | ||||
\(56\) | −1.90126 | + | 5.85149i | −0.0339511 | + | 0.104491i | ||||
\(57\) | −25.1329 | − | 25.1329i | −0.440928 | − | 0.440928i | ||||
\(58\) | −4.58582 | − | 9.00019i | −0.0790659 | − | 0.155176i | ||||
\(59\) | 36.4952 | + | 50.2313i | 0.618563 | + | 0.851378i | 0.997247 | − | 0.0741474i | \(-0.0236235\pi\) |
−0.378685 | + | 0.925526i | \(0.623624\pi\) | |||||||
\(60\) | −9.27987 | − | 32.9562i | −0.154665 | − | 0.549271i | ||||
\(61\) | −38.7829 | − | 28.1774i | −0.635785 | − | 0.461925i | 0.222614 | − | 0.974907i | \(-0.428541\pi\) |
−0.858400 | + | 0.512981i | \(0.828541\pi\) | |||||||
\(62\) | 7.11755 | + | 1.12731i | 0.114799 | + | 0.0181824i | ||||
\(63\) | −1.68258 | + | 10.6234i | −0.0267077 | + | 0.168626i | ||||
\(64\) | 35.0167 | − | 48.1964i | 0.547136 | − | 0.753068i | ||||
\(65\) | 67.6982 | − | 19.0626i | 1.04151 | − | 0.293271i | ||||
\(66\) | 0.871044 | − | 0.632851i | 0.0131976 | − | 0.00958865i | ||||
\(67\) | 21.6869 | − | 11.0500i | 0.323685 | − | 0.164926i | −0.284596 | − | 0.958648i | \(-0.591859\pi\) |
0.608281 | + | 0.793722i | \(0.291859\pi\) | |||||||
\(68\) | 5.37144 | − | 5.37144i | 0.0789917 | − | 0.0789917i | ||||
\(69\) | −42.2517 | − | 13.7284i | −0.612343 | − | 0.198962i | ||||
\(70\) | 3.79326 | + | 0.756161i | 0.0541894 | + | 0.0108023i | ||||
\(71\) | 23.2547 | + | 71.5705i | 0.327530 | + | 1.00803i | 0.970285 | + | 0.241963i | \(0.0777912\pi\) |
−0.642755 | + | 0.766072i | \(0.722209\pi\) | |||||||
\(72\) | −2.33725 | + | 4.58711i | −0.0324618 | + | 0.0637099i | ||||
\(73\) | −76.2776 | + | 12.0812i | −1.04490 | + | 0.165496i | −0.655207 | − | 0.755449i | \(-0.727419\pi\) |
−0.389692 | + | 0.920945i | \(0.627419\pi\) | |||||||
\(74\) | 9.55025i | 0.129057i | ||||||||
\(75\) | −40.0189 | + | 16.5375i | −0.533585 | + | 0.220500i | ||||
\(76\) | −81.1283 | −1.06748 | ||||||||
\(77\) | −1.61583 | − | 10.2019i | −0.0209848 | − | 0.132493i | ||||
\(78\) | −4.68381 | − | 2.38652i | −0.0600489 | − | 0.0305964i | ||||
\(79\) | 16.4271 | − | 5.33748i | 0.207937 | − | 0.0675630i | −0.203196 | − | 0.979138i | \(-0.565133\pi\) |
0.411134 | + | 0.911575i | \(0.365133\pi\) | |||||||
\(80\) | −67.3564 | − | 37.7581i | −0.841955 | − | 0.471976i | ||||
\(81\) | −2.78115 | + | 8.55951i | −0.0343352 | + | 0.105673i | ||||
\(82\) | 7.42765 | + | 7.42765i | 0.0905811 | + | 0.0905811i | ||||
\(83\) | 1.17541 | + | 2.30687i | 0.0141616 | + | 0.0277937i | 0.897979 | − | 0.440038i | \(-0.145035\pi\) |
−0.883817 | + | 0.467832i | \(0.845035\pi\) | |||||||
\(84\) | 14.4304 | + | 19.8617i | 0.171790 | + | 0.236449i | ||||
\(85\) | −7.54228 | − | 5.95093i | −0.0887327 | − | 0.0700109i | ||||
\(86\) | −7.10909 | − | 5.16506i | −0.0826638 | − | 0.0600588i | ||||
\(87\) | −80.0884 | − | 12.6848i | −0.920556 | − | 0.145802i | ||||
\(88\) | 0.773410 | − | 4.88312i | 0.00878875 | − | 0.0554900i | ||||
\(89\) | 36.0968 | − | 49.6829i | 0.405582 | − | 0.558235i | −0.556552 | − | 0.830813i | \(-0.687876\pi\) |
0.962134 | + | 0.272577i | \(0.0878761\pi\) | |||||||
\(90\) | 3.03597 | + | 1.12146i | 0.0337330 | + | 0.0124607i | ||||
\(91\) | −40.7997 | + | 29.6427i | −0.448348 | + | 0.325744i | ||||
\(92\) | −90.3512 | + | 46.0362i | −0.982078 | + | 0.500394i | ||||
\(93\) | 40.9048 | − | 40.9048i | 0.439837 | − | 0.439837i | ||||
\(94\) | 1.23593 | + | 0.401578i | 0.0131482 | + | 0.00427210i | ||||
\(95\) | 12.0176 | + | 101.898i | 0.126501 | + | 1.07261i | ||||
\(96\) | 5.45750 | + | 16.7965i | 0.0568489 | + | 0.174963i | ||||
\(97\) | 62.8839 | − | 123.417i | 0.648287 | − | 1.27234i | −0.299702 | − | 0.954033i | \(-0.596887\pi\) |
0.947989 | − | 0.318303i | \(-0.103113\pi\) | |||||||
\(98\) | 7.70299 | − | 1.22003i | 0.0786019 | − | 0.0124493i | ||||
\(99\) | − | 8.64294i | − | 0.0873024i | ||||||
\(100\) | −37.8987 | + | 91.2813i | −0.378987 | + | 0.912813i | ||||
\(101\) | 117.114 | 1.15955 | 0.579774 | − | 0.814777i | \(-0.303141\pi\) | ||||
0.579774 | + | 0.814777i | \(0.303141\pi\) | |||||||
\(102\) | 0.112332 | + | 0.709238i | 0.00110130 | + | 0.00695332i | ||||
\(103\) | −157.167 | − | 80.0806i | −1.52589 | − | 0.777481i | −0.528451 | − | 0.848964i | \(-0.677227\pi\) |
−0.997442 | + | 0.0714822i | \(0.977227\pi\) | |||||||
\(104\) | −22.9572 | + | 7.45926i | −0.220743 | + | 0.0717236i | ||||
\(105\) | 22.8090 | − | 21.0669i | 0.217229 | − | 0.200637i | ||||
\(106\) | −5.56311 | + | 17.1215i | −0.0524822 | + | 0.161524i | ||||
\(107\) | −120.454 | − | 120.454i | −1.12574 | − | 1.12574i | −0.990863 | − | 0.134875i | \(-0.956937\pi\) |
−0.134875 | − | 0.990863i | \(-0.543063\pi\) | |||||||
\(108\) | 9.32619 | + | 18.3037i | 0.0863536 | + | 0.169479i | ||||
\(109\) | 121.973 | + | 167.882i | 1.11902 | + | 1.54020i | 0.807411 | + | 0.589990i | \(0.200868\pi\) |
0.311610 | + | 0.950210i | \(0.399132\pi\) | |||||||
\(110\) | −3.10563 | − | 0.123310i | −0.0282330 | − | 0.00112100i | ||||
\(111\) | 62.0228 | + | 45.0622i | 0.558764 | + | 0.405966i | ||||
\(112\) | 54.6876 | + | 8.66166i | 0.488282 | + | 0.0773363i | ||||
\(113\) | 28.0172 | − | 176.894i | 0.247940 | − | 1.56543i | −0.478430 | − | 0.878126i | \(-0.658794\pi\) |
0.726370 | − | 0.687304i | \(-0.241206\pi\) | |||||||
\(114\) | 4.50773 | − | 6.20436i | 0.0395415 | − | 0.0544242i | ||||
\(115\) | 71.2060 | + | 106.663i | 0.619183 | + | 0.927504i | ||||
\(116\) | −149.735 | + | 108.789i | −1.29082 | + | 0.937833i | ||||
\(117\) | −37.5992 | + | 19.1577i | −0.321360 | + | 0.163741i | ||||
\(118\) | −9.47292 | + | 9.47292i | −0.0802790 | + | 0.0802790i | ||||
\(119\) | 6.55178 | + | 2.12880i | 0.0550569 | + | 0.0178891i | ||||
\(120\) | 13.4991 | − | 6.21639i | 0.112493 | − | 0.0518032i | ||||
\(121\) | −34.8262 | − | 107.184i | −0.287820 | − | 0.885818i | ||||
\(122\) | 4.69582 | − | 9.21606i | 0.0384903 | − | 0.0755415i | ||||
\(123\) | 83.2847 | − | 13.1910i | 0.677111 | − | 0.107244i | ||||
\(124\) | − | 132.040i | − | 1.06484i | ||||||
\(125\) | 120.265 | + | 34.0797i | 0.962117 | + | 0.272637i | ||||
\(126\) | −2.32074 | −0.0184185 | ||||||||
\(127\) | 17.1715 | + | 108.416i | 0.135208 | + | 0.853673i | 0.958300 | + | 0.285764i | \(0.0922474\pi\) |
−0.823092 | + | 0.567909i | \(0.807753\pi\) | |||||||
\(128\) | 47.7935 | + | 24.3520i | 0.373387 | + | 0.190250i | ||||
\(129\) | −67.0875 | + | 21.7981i | −0.520058 | + | 0.168977i | ||||
\(130\) | 6.34744 | + | 13.7837i | 0.0488264 | + | 0.106028i | ||||
\(131\) | −5.96636 | + | 18.3626i | −0.0455448 | + | 0.140172i | −0.971243 | − | 0.238091i | \(-0.923478\pi\) |
0.925698 | + | 0.378263i | \(0.123478\pi\) | |||||||
\(132\) | −13.9496 | − | 13.9496i | −0.105679 | − | 0.105679i | ||||
\(133\) | −33.4015 | − | 65.5542i | −0.251139 | − | 0.492889i | ||||
\(134\) | 3.08686 | + | 4.24870i | 0.0230363 | + | 0.0317067i | ||||
\(135\) | 21.6082 | − | 14.4252i | 0.160061 | − | 0.106853i | ||||
\(136\) | 2.66762 | + | 1.93814i | 0.0196149 | + | 0.0142510i | ||||
\(137\) | 71.9737 | + | 11.3995i | 0.525355 | + | 0.0832081i | 0.413478 | − | 0.910514i | \(-0.364314\pi\) |
0.111877 | + | 0.993722i | \(0.464314\pi\) | |||||||
\(138\) | 1.49952 | − | 9.46759i | 0.0108661 | − | 0.0686057i | ||||
\(139\) | 134.161 | − | 184.657i | 0.965187 | − | 1.32847i | 0.0207459 | − | 0.999785i | \(-0.493396\pi\) |
0.944441 | − | 0.328681i | \(-0.106604\pi\) | |||||||
\(140\) | 2.81174 | − | 70.8152i | 0.0200839 | − | 0.505823i | ||||
\(141\) | 8.43964 | − | 6.13176i | 0.0598556 | − | 0.0434876i | ||||
\(142\) | −14.4674 | + | 7.37150i | −0.101883 | + | 0.0519120i | ||||
\(143\) | 28.6551 | − | 28.6551i | 0.200385 | − | 0.200385i | ||||
\(144\) | 44.0630 | + | 14.3169i | 0.305993 | + | 0.0994231i | ||||
\(145\) | 158.820 | + | 171.954i | 1.09531 | + | 1.18589i | ||||
\(146\) | −5.14922 | − | 15.8477i | −0.0352686 | − | 0.108546i | ||||
\(147\) | 28.4227 | − | 55.7827i | 0.193352 | − | 0.379474i | ||||
\(148\) | 172.834 | − | 27.3742i | 1.16780 | − | 0.184961i | ||||
\(149\) | 104.646i | 0.702319i | 0.936316 | + | 0.351159i | \(0.114212\pi\) | ||||
−0.936316 | + | 0.351159i | \(0.885788\pi\) | |||||||
\(150\) | −4.87505 | − | 7.97019i | −0.0325003 | − | 0.0531346i | ||||
\(151\) | −1.36040 | −0.00900927 | −0.00450463 | − | 0.999990i | \(-0.501434\pi\) | ||||
−0.00450463 | + | 0.999990i | \(0.501434\pi\) | |||||||
\(152\) | −5.50892 | − | 34.7819i | −0.0362429 | − | 0.228828i | ||||
\(153\) | 5.13608 | + | 2.61697i | 0.0335692 | + | 0.0171043i | ||||
\(154\) | 2.11959 | − | 0.688695i | 0.0137635 | − | 0.00447205i | ||||
\(155\) | −165.844 | + | 19.5592i | −1.06996 | + | 0.126188i | ||||
\(156\) | −29.7642 | + | 91.6049i | −0.190796 | + | 0.587211i | ||||
\(157\) | −68.3515 | − | 68.3515i | −0.435360 | − | 0.435360i | 0.455087 | − | 0.890447i | \(-0.349608\pi\) |
−0.890447 | + | 0.455087i | \(0.849608\pi\) | |||||||
\(158\) | 1.69193 | + | 3.32060i | 0.0107084 | + | 0.0210164i | ||||
\(159\) | 84.9441 | + | 116.916i | 0.534240 | + | 0.735318i | ||||
\(160\) | 17.6657 | − | 47.8240i | 0.110411 | − | 0.298900i | ||||
\(161\) | −74.3974 | − | 54.0529i | −0.462095 | − | 0.335732i | ||||
\(162\) | −1.91798 | − | 0.303778i | −0.0118394 | − | 0.00187517i | ||||
\(163\) | −17.7253 | + | 111.913i | −0.108744 | + | 0.686585i | 0.871737 | + | 0.489974i | \(0.162994\pi\) |
−0.980482 | + | 0.196611i | \(0.937006\pi\) | |||||||
\(164\) | 113.130 | − | 155.711i | 0.689819 | − | 0.949455i | ||||
\(165\) | −15.4545 | + | 19.5873i | −0.0936638 | + | 0.118711i | ||||
\(166\) | −0.451942 | + | 0.328355i | −0.00272254 | + | 0.00197804i | ||||
\(167\) | −248.652 | + | 126.694i | −1.48893 | + | 0.758648i | −0.993906 | − | 0.110230i | \(-0.964841\pi\) |
−0.495025 | + | 0.868879i | \(0.664841\pi\) | |||||||
\(168\) | −7.53538 | + | 7.53538i | −0.0448535 | + | 0.0448535i | ||||
\(169\) | −27.4450 | − | 8.91742i | −0.162396 | − | 0.0527658i | ||||
\(170\) | 1.01362 | − | 1.80819i | 0.00596247 | − | 0.0106364i | ||||
\(171\) | −19.0239 | − | 58.5497i | −0.111251 | − | 0.342396i | ||||
\(172\) | −73.0966 | + | 143.460i | −0.424980 | + | 0.834071i | ||||
\(173\) | −77.8868 | + | 12.3361i | −0.450213 | + | 0.0713067i | −0.377424 | − | 0.926041i | \(-0.623190\pi\) |
−0.0727890 | + | 0.997347i | \(0.523190\pi\) | |||||||
\(174\) | − | 17.4957i | − | 0.100550i | ||||||
\(175\) | −89.3614 | + | 6.95835i | −0.510637 | + | 0.0397620i | ||||
\(176\) | −44.4924 | −0.252798 | ||||||||
\(177\) | 16.8233 | + | 106.218i | 0.0950466 | + | 0.600101i | ||||
\(178\) | 11.8063 | + | 6.01559i | 0.0663273 | + | 0.0337954i | ||||
\(179\) | −270.618 | + | 87.9292i | −1.51183 | + | 0.491225i | −0.943443 | − | 0.331534i | \(-0.892434\pi\) |
−0.568391 | + | 0.822759i | \(0.692434\pi\) | |||||||
\(180\) | 11.5933 | − | 58.1574i | 0.0644072 | − | 0.323097i | ||||
\(181\) | −18.8719 | + | 58.0816i | −0.104264 | + | 0.320893i | −0.989557 | − | 0.144141i | \(-0.953958\pi\) |
0.885293 | + | 0.465034i | \(0.153958\pi\) | |||||||
\(182\) | −7.69424 | − | 7.69424i | −0.0422760 | − | 0.0422760i | ||||
\(183\) | −37.6956 | − | 73.9817i | −0.205987 | − | 0.404272i | ||||
\(184\) | −25.8722 | − | 35.6100i | −0.140610 | − | 0.193533i | ||||
\(185\) | −59.9844 | − | 213.027i | −0.324240 | − | 1.15150i | ||||
\(186\) | 10.0978 | + | 7.33651i | 0.0542895 | + | 0.0394436i | ||||
\(187\) | −5.46752 | − | 0.865969i | −0.0292381 | − | 0.00463085i | ||||
\(188\) | 3.72489 | − | 23.5180i | 0.0198133 | − | 0.125096i | ||||
\(189\) | −10.9502 | + | 15.0717i | −0.0579377 | + | 0.0797445i | ||||
\(190\) | −21.3098 | + | 6.00045i | −0.112157 | + | 0.0315813i | ||||
\(191\) | −12.2266 | + | 8.88315i | −0.0640136 | + | 0.0465086i | −0.619332 | − | 0.785129i | \(-0.712596\pi\) |
0.555318 | + | 0.831638i | \(0.312596\pi\) | |||||||
\(192\) | 91.9387 | − | 46.8451i | 0.478847 | − | 0.243985i | ||||
\(193\) | −32.8943 | + | 32.8943i | −0.170437 | + | 0.170437i | −0.787171 | − | 0.616734i | \(-0.788455\pi\) |
0.616734 | + | 0.787171i | \(0.288455\pi\) | |||||||
\(194\) | 28.4237 | + | 9.23542i | 0.146514 | + | 0.0476052i | ||||
\(195\) | 119.466 | + | 23.8148i | 0.612647 | + | 0.122127i | ||||
\(196\) | −44.1586 | − | 135.906i | −0.225299 | − | 0.693400i | ||||
\(197\) | 58.7884 | − | 115.379i | 0.298419 | − | 0.585679i | −0.692300 | − | 0.721610i | \(-0.743402\pi\) |
0.990718 | + | 0.135931i | \(0.0434024\pi\) | |||||||
\(198\) | 1.84189 | − | 0.291726i | 0.00930246 | − | 0.00147337i | ||||
\(199\) | 29.2447i | 0.146958i | 0.997297 | + | 0.0734791i | \(0.0234102\pi\) | ||||
−0.997297 | + | 0.0734791i | \(0.976590\pi\) | |||||||
\(200\) | −41.7082 | − | 10.0498i | −0.208541 | − | 0.0502492i | ||||
\(201\) | 42.1578 | 0.209740 | ||||||||
\(202\) | 3.95298 | + | 24.9581i | 0.0195692 | + | 0.123555i | ||||
\(203\) | −149.552 | − | 76.2006i | −0.736710 | − | 0.375372i | ||||
\(204\) | 12.5133 | − | 4.06582i | 0.0613398 | − | 0.0199305i | ||||
\(205\) | −212.333 | − | 119.028i | −1.03577 | − | 0.580623i | ||||
\(206\) | 11.7610 | − | 36.1967i | 0.0570923 | − | 0.175712i | ||||
\(207\) | −54.4106 | − | 54.4106i | −0.262853 | − | 0.262853i | ||||
\(208\) | 98.6209 | + | 193.554i | 0.474139 | + | 0.930550i | ||||
\(209\) | 34.7501 | + | 47.8294i | 0.166268 | + | 0.228849i | ||||
\(210\) | 5.25942 | + | 4.14973i | 0.0250449 | + | 0.0197606i | ||||
\(211\) | 95.9540 | + | 69.7146i | 0.454758 | + | 0.330401i | 0.791471 | − | 0.611206i | \(-0.209315\pi\) |
−0.336713 | + | 0.941607i | \(0.609315\pi\) | |||||||
\(212\) | 325.799 | + | 51.6015i | 1.53679 | + | 0.243403i | ||||
\(213\) | −20.3902 | + | 128.738i | −0.0957284 | + | 0.604405i | ||||
\(214\) | 21.6041 | − | 29.7355i | 0.100954 | − | 0.138951i | ||||
\(215\) | 191.016 | + | 70.5595i | 0.888446 | + | 0.328184i | ||||
\(216\) | −7.21401 | + | 5.24128i | −0.0333982 | + | 0.0242652i | ||||
\(217\) | 106.692 | − | 54.3624i | 0.491669 | − | 0.250518i | ||||
\(218\) | −31.6601 | + | 31.6601i | −0.145230 | + | 0.145230i | ||||
\(219\) | −127.217 | − | 41.3352i | −0.580898 | − | 0.188745i | ||||
\(220\) | 6.67019 | + | 56.5570i | 0.0303190 | + | 0.257077i | ||||
\(221\) | 8.35196 | + | 25.7047i | 0.0377917 | + | 0.116311i | ||||
\(222\) | −7.50969 | + | 14.7386i | −0.0338274 | + | 0.0663901i | ||||
\(223\) | −73.2435 | + | 11.6006i | −0.328446 | + | 0.0520208i | −0.318480 | − | 0.947930i | \(-0.603172\pi\) |
−0.00996615 | + | 0.999950i | \(0.503172\pi\) | |||||||
\(224\) | 36.5572i | 0.163202i | ||||||||
\(225\) | −74.7639 | − | 5.94643i | −0.332284 | − | 0.0264286i | ||||
\(226\) | 38.6433 | 0.170988 | ||||||||
\(227\) | −17.6629 | − | 111.519i | −0.0778100 | − | 0.491273i | −0.995561 | − | 0.0941170i | \(-0.969997\pi\) |
0.917751 | − | 0.397156i | \(-0.130003\pi\) | |||||||
\(228\) | −125.203 | − | 63.7940i | −0.549135 | − | 0.279798i | ||||
\(229\) | −271.915 | + | 88.3506i | −1.18740 | + | 0.385810i | −0.835112 | − | 0.550080i | \(-0.814597\pi\) |
−0.352291 | + | 0.935891i | \(0.614597\pi\) | |||||||
\(230\) | −20.3274 | + | 18.7748i | −0.0883801 | + | 0.0816298i | ||||
\(231\) | 5.52848 | − | 17.0149i | 0.0239328 | − | 0.0736577i | ||||
\(232\) | −56.8082 | − | 56.8082i | −0.244863 | − | 0.244863i | ||||
\(233\) | 109.169 | + | 214.256i | 0.468536 | + | 0.919554i | 0.997483 | + | 0.0708996i | \(0.0225870\pi\) |
−0.528947 | + | 0.848655i | \(0.677413\pi\) | |||||||
\(234\) | −5.35177 | − | 7.36609i | −0.0228708 | − | 0.0314790i | ||||
\(235\) | −30.0908 | − | 1.19476i | −0.128046 | − | 0.00508411i | ||||
\(236\) | 198.587 | + | 144.282i | 0.841469 | + | 0.611363i | ||||
\(237\) | 29.5484 | + | 4.68001i | 0.124677 | + | 0.0197469i | ||||
\(238\) | −0.232523 | + | 1.46810i | −0.000976989 | + | 0.00616847i | ||||
\(239\) | 56.3018 | − | 77.4928i | 0.235572 | − | 0.324238i | −0.674821 | − | 0.737982i | \(-0.735779\pi\) |
0.910393 | + | 0.413744i | \(0.135779\pi\) | |||||||
\(240\) | −74.2585 | − | 111.235i | −0.309410 | − | 0.463481i | ||||
\(241\) | 230.619 | − | 167.554i | 0.956923 | − | 0.695246i | 0.00448928 | − | 0.999990i | \(-0.498571\pi\) |
0.952434 | + | 0.304744i | \(0.0985710\pi\) | |||||||
\(242\) | 21.6664 | − | 11.0396i | 0.0895305 | − | 0.0456181i | ||||
\(243\) | −11.0227 | + | 11.0227i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −180.246 | − | 58.5654i | −0.738712 | − | 0.240022i | ||||
\(245\) | −164.159 | + | 75.5959i | −0.670037 | + | 0.308555i | ||||
\(246\) | 5.62224 | + | 17.3035i | 0.0228546 | + | 0.0703393i | ||||
\(247\) | 131.045 | − | 257.190i | 0.530546 | − | 1.04125i | ||||
\(248\) | 56.6090 | − | 8.96599i | 0.228262 | − | 0.0361532i | ||||
\(249\) | 4.48439i | 0.0180096i | ||||||||
\(250\) | −3.20337 | + | 26.7798i | −0.0128135 | + | 0.107119i | ||||
\(251\) | 202.225 | 0.805679 | 0.402839 | − | 0.915271i | \(-0.368023\pi\) | ||||
0.402839 | + | 0.915271i | \(0.368023\pi\) | |||||||
\(252\) | 6.65200 | + | 41.9991i | 0.0263968 | + | 0.166663i | ||||
\(253\) | 65.8413 | + | 33.5478i | 0.260242 | + | 0.132600i | ||||
\(254\) | −22.5249 | + | 7.31879i | −0.0886808 | + | 0.0288141i | ||||
\(255\) | −6.96035 | − | 15.1146i | −0.0272955 | − | 0.0592731i | ||||
\(256\) | 70.0611 | − | 215.626i | 0.273676 | − | 0.842288i | ||||
\(257\) | 332.082 | + | 332.082i | 1.29215 | + | 1.29215i | 0.933456 | + | 0.358692i | \(0.116777\pi\) |
0.358692 | + | 0.933456i | \(0.383223\pi\) | |||||||
\(258\) | −6.90977 | − | 13.5612i | −0.0267821 | − | 0.0525628i | ||||
\(259\) | 93.2770 | + | 128.385i | 0.360143 | + | 0.495694i | ||||
\(260\) | 231.254 | − | 154.380i | 0.889437 | − | 0.593770i | ||||
\(261\) | −113.623 | − | 82.5522i | −0.435339 | − | 0.316292i | ||||
\(262\) | −4.11461 | − | 0.651691i | −0.0157046 | − | 0.00248737i | ||||
\(263\) | −46.8408 | + | 295.741i | −0.178102 | + | 1.12449i | 0.722989 | + | 0.690860i | \(0.242768\pi\) |
−0.901091 | + | 0.433631i | \(0.857232\pi\) | |||||||
\(264\) | 5.03334 | − | 6.92780i | 0.0190657 | − | 0.0262417i | ||||
\(265\) | 16.5512 | − | 416.852i | 0.0624575 | − | 1.57303i | ||||
\(266\) | 12.8428 | − | 9.33082i | 0.0482811 | − | 0.0350783i | ||||
\(267\) | 94.7744 | − | 48.2900i | 0.354960 | − | 0.180861i | ||||
\(268\) | 68.0421 | − | 68.0421i | 0.253889 | − | 0.253889i | ||||
\(269\) | −158.418 | − | 51.4731i | −0.588914 | − | 0.191350i | −0.000623854 | − | 1.00000i | \(-0.500199\pi\) |
−0.588290 | + | 0.808650i | \(0.700199\pi\) | |||||||
\(270\) | 3.80348 | + | 4.11800i | 0.0140870 | + | 0.0152519i | ||||
\(271\) | 115.087 | + | 354.200i | 0.424674 | + | 1.30701i | 0.903306 | + | 0.428997i | \(0.141133\pi\) |
−0.478632 | + | 0.878016i | \(0.658867\pi\) | |||||||
\(272\) | 13.4717 | − | 26.4397i | 0.0495283 | − | 0.0972048i | ||||
\(273\) | −86.2739 | + | 13.6644i | −0.316022 | + | 0.0500529i | ||||
\(274\) | 15.7230i | 0.0573832i | ||||||||
\(275\) | 70.0484 | − | 16.7557i | 0.254721 | − | 0.0609298i | ||||
\(276\) | −175.636 | −0.636362 | ||||||||
\(277\) | 47.7149 | + | 301.260i | 0.172256 | + | 1.08758i | 0.910640 | + | 0.413201i | \(0.135589\pi\) |
−0.738384 | + | 0.674381i | \(0.764411\pi\) | |||||||
\(278\) | 43.8804 | + | 22.3582i | 0.157843 | + | 0.0804250i | ||||
\(279\) | 95.2920 | − | 30.9622i | 0.341548 | − | 0.110976i | ||||
\(280\) | 30.5513 | − | 3.60315i | 0.109112 | − | 0.0128684i | ||||
\(281\) | 125.676 | − | 386.790i | 0.447245 | − | 1.37648i | −0.432758 | − | 0.901510i | \(-0.642460\pi\) |
0.880003 | − | 0.474968i | \(-0.157540\pi\) | |||||||
\(282\) | 1.59160 | + | 1.59160i | 0.00564396 | + | 0.00564396i | ||||
\(283\) | −70.9340 | − | 139.216i | −0.250650 | − | 0.491929i | 0.731059 | − | 0.682314i | \(-0.239026\pi\) |
−0.981709 | + | 0.190385i | \(0.939026\pi\) | |||||||
\(284\) | 174.873 | + | 240.692i | 0.615749 | + | 0.847505i | ||||
\(285\) | −61.5798 | + | 166.706i | −0.216069 | + | 0.584935i | ||||
\(286\) | 7.07385 | + | 5.13945i | 0.0247337 | + | 0.0179701i | ||||
\(287\) | 172.396 | + | 27.3049i | 0.600683 | + | 0.0951389i | ||||
\(288\) | −4.78525 | + | 30.2129i | −0.0166154 | + | 0.104906i | ||||
\(289\) | −167.700 | + | 230.819i | −0.580276 | + | 0.798682i | ||||
\(290\) | −31.2842 | + | 39.6500i | −0.107877 | + | 0.136724i | ||||
\(291\) | 194.093 | − | 141.017i | 0.666988 | − | 0.484595i | ||||
\(292\) | −272.041 | + | 138.612i | −0.931646 | + | 0.474698i | ||||
\(293\) | 24.2992 | − | 24.2992i | 0.0829323 | − | 0.0829323i | −0.664424 | − | 0.747356i | \(-0.731323\pi\) |
0.747356 | + | 0.664424i | \(0.231323\pi\) | |||||||
\(294\) | 12.8471 | + | 4.17429i | 0.0436977 | + | 0.0141983i | ||||
\(295\) | 151.803 | − | 270.801i | 0.514587 | − | 0.917968i | ||||
\(296\) | 23.4721 | + | 72.2398i | 0.0792977 | + | 0.244053i | ||||
\(297\) | 6.79624 | − | 13.3384i | 0.0228830 | − | 0.0449104i | ||||
\(298\) | −22.3009 | + | 3.53211i | −0.0748352 | + | 0.0118527i | ||||
\(299\) | − | 360.789i | − | 1.20665i | ||||||
\(300\) | −130.265 | + | 111.071i | −0.434218 | + | 0.370235i | ||||
\(301\) | −146.015 | −0.485100 | ||||||||
\(302\) | −0.0459177 | − | 0.289913i | −0.000152045 | − | 0.000959977i | ||||
\(303\) | 180.739 | + | 92.0911i | 0.596498 | + | 0.303931i | ||||
\(304\) | −301.404 | + | 97.9321i | −0.991461 | + | 0.322145i | ||||
\(305\) | −46.8590 | + | 235.067i | −0.153636 | + | 0.770710i | ||||
\(306\) | −0.384340 | + | 1.18288i | −0.00125601 | + | 0.00386561i | ||||
\(307\) | −122.601 | − | 122.601i | −0.399353 | − | 0.399353i | 0.478652 | − | 0.878005i | \(-0.341126\pi\) |
−0.878005 | + | 0.478652i | \(0.841126\pi\) | |||||||
\(308\) | −18.5390 | − | 36.3848i | −0.0601914 | − | 0.118132i | ||||
\(309\) | −179.581 | − | 247.172i | −0.581167 | − | 0.799908i | ||||
\(310\) | −9.76599 | − | 34.6826i | −0.0315032 | − | 0.111879i | ||||
\(311\) | −480.225 | − | 348.904i | −1.54413 | − | 1.12188i | −0.947677 | − | 0.319231i | \(-0.896576\pi\) |
−0.596455 | − | 0.802647i | \(-0.703424\pi\) | |||||||
\(312\) | −41.2946 | − | 6.54043i | −0.132355 | − | 0.0209629i | ||||
\(313\) | −16.9010 | + | 106.708i | −0.0539967 | + | 0.340922i | 0.945869 | + | 0.324548i | \(0.105212\pi\) |
−0.999866 | + | 0.0163737i | \(0.994788\pi\) | |||||||
\(314\) | 12.2592 | − | 16.8734i | 0.0390422 | − | 0.0537369i | ||||
\(315\) | 51.7661 | − | 14.5764i | 0.164337 | − | 0.0462742i | ||||
\(316\) | 55.2442 | − | 40.1373i | 0.174824 | − | 0.127017i | ||||
\(317\) | −238.066 | + | 121.300i | −0.750995 | + | 0.382651i | −0.787204 | − | 0.616693i | \(-0.788472\pi\) |
0.0362084 | + | 0.999344i | \(0.488472\pi\) | |||||||
\(318\) | −22.0486 | + | 22.0486i | −0.0693352 | + | 0.0693352i | ||||
\(319\) | 128.273 | + | 41.6784i | 0.402110 | + | 0.130653i | ||||
\(320\) | −292.122 | − | 58.2327i | −0.912882 | − | 0.181977i | ||||
\(321\) | −91.1757 | − | 280.610i | −0.284036 | − | 0.874174i | ||||
\(322\) | 9.00800 | − | 17.6792i | 0.0279752 | − | 0.0549043i | ||||
\(323\) | −38.9445 | + | 6.16821i | −0.120571 | + | 0.0190966i | ||||
\(324\) | 35.5810i | 0.109818i | ||||||||
\(325\) | −228.160 | − | 267.589i | −0.702029 | − | 0.823352i | ||||
\(326\) | −24.4480 | −0.0749939 | ||||||||
\(327\) | 56.2262 | + | 354.998i | 0.171946 | + | 1.08562i | ||||
\(328\) | 74.4393 | + | 37.9287i | 0.226949 | + | 0.115636i | ||||
\(329\) | 20.5369 | − | 6.67284i | 0.0624222 | − | 0.0202822i | ||||
\(330\) | −4.69586 | − | 2.63237i | −0.0142299 | − | 0.00797687i | ||||
\(331\) | −178.323 | + | 548.821i | −0.538739 | + | 1.65807i | 0.196689 | + | 0.980466i | \(0.436981\pi\) |
−0.735428 | + | 0.677602i | \(0.763019\pi\) | |||||||
\(332\) | 7.23776 | + | 7.23776i | 0.0218005 | + | 0.0218005i | ||||
\(333\) | 60.2839 | + | 118.314i | 0.181033 | + | 0.355296i | ||||
\(334\) | −35.3925 | − | 48.7135i | −0.105965 | − | 0.145849i | ||||
\(335\) | −95.5411 | − | 75.3827i | −0.285197 | − | 0.225023i | ||||
\(336\) | 77.5867 | + | 56.3700i | 0.230913 | + | 0.167768i | ||||
\(337\) | −149.729 | − | 23.7148i | −0.444301 | − | 0.0703704i | −0.0697244 | − | 0.997566i | \(-0.522212\pi\) |
−0.374577 | + | 0.927196i | \(0.622212\pi\) | |||||||
\(338\) | 0.974027 | − | 6.14977i | 0.00288174 | − | 0.0181946i | ||||
\(339\) | 182.336 | − | 250.963i | 0.537863 | − | 0.740305i | ||||
\(340\) | −35.6288 | − | 13.1609i | −0.104790 | − | 0.0387086i | ||||
\(341\) | −77.8443 | + | 56.5572i | −0.228282 | + | 0.165857i | ||||
\(342\) | 11.8353 | − | 6.03040i | 0.0346062 | − | 0.0176328i | ||||
\(343\) | 215.859 | − | 215.859i | 0.629328 | − | 0.629328i | ||||
\(344\) | −66.4688 | − | 21.5970i | −0.193223 | − | 0.0627821i | ||||
\(345\) | 26.0172 | + | 220.601i | 0.0754121 | + | 0.639424i | ||||
\(346\) | −5.25785 | − | 16.1820i | −0.0151961 | − | 0.0467688i | ||||
\(347\) | −160.349 | + | 314.703i | −0.462102 | + | 0.906926i | 0.535933 | + | 0.844261i | \(0.319960\pi\) |
−0.998035 | + | 0.0626654i | \(0.980040\pi\) | |||||||
\(348\) | −316.625 | + | 50.1485i | −0.909842 | + | 0.144105i | ||||
\(349\) | 385.320i | 1.10407i | 0.833822 | + | 0.552034i | \(0.186148\pi\) | ||||
−0.833822 | + | 0.552034i | \(0.813852\pi\) | |||||||
\(350\) | −4.49911 | − | 18.8089i | −0.0128546 | − | 0.0537396i | ||||
\(351\) | −73.0900 | −0.208234 | ||||||||
\(352\) | −4.59540 | − | 29.0142i | −0.0130551 | − | 0.0824267i | ||||
\(353\) | 190.641 | + | 97.1364i | 0.540059 | + | 0.275174i | 0.702669 | − | 0.711516i | \(-0.251991\pi\) |
−0.162610 | + | 0.986690i | \(0.551991\pi\) | |||||||
\(354\) | −22.0681 | + | 7.17037i | −0.0623394 | + | 0.0202553i | ||||
\(355\) | 276.408 | − | 255.297i | 0.778614 | − | 0.719145i | ||||
\(356\) | 75.0253 | − | 230.904i | 0.210745 | − | 0.648607i | ||||
\(357\) | 8.43720 | + | 8.43720i | 0.0236336 | + | 0.0236336i | ||||
\(358\) | −27.8727 | − | 54.7033i | −0.0778567 | − | 0.152802i | ||||
\(359\) | −121.501 | − | 167.232i | −0.338443 | − | 0.465827i | 0.605543 | − | 0.795813i | \(-0.292956\pi\) |
−0.943986 | + | 0.329986i | \(0.892956\pi\) | |||||||
\(360\) | 25.7209 | + | 1.02126i | 0.0714470 | + | 0.00283683i | ||||
\(361\) | 48.6284 | + | 35.3306i | 0.134705 | + | 0.0978687i | ||||
\(362\) | −13.0147 | − | 2.06132i | −0.0359522 | − | 0.00569427i | ||||
\(363\) | 30.5363 | − | 192.799i | 0.0841221 | − | 0.531126i | ||||
\(364\) | −117.191 | + | 161.299i | −0.321953 | + | 0.443130i | ||||
\(365\) | 214.396 | + | 321.154i | 0.587386 | + | 0.879875i | ||||
\(366\) | 14.4938 | − | 10.5304i | 0.0396006 | − | 0.0287715i | ||||
\(367\) | 322.659 | − | 164.403i | 0.879181 | − | 0.447965i | 0.0446990 | − | 0.999000i | \(-0.485767\pi\) |
0.834482 | + | 0.551035i | \(0.185767\pi\) | |||||||
\(368\) | −280.097 | + | 280.097i | −0.761133 | + | 0.761133i | ||||
\(369\) | 138.903 | + | 45.1324i | 0.376431 | + | 0.122310i | ||||
\(370\) | 43.3733 | − | 19.9735i | 0.117225 | − | 0.0539826i | ||||
\(371\) | 92.4398 | + | 284.500i | 0.249164 | + | 0.766848i | ||||
\(372\) | 103.827 | − | 203.773i | 0.279106 | − | 0.547776i | ||||
\(373\) | 126.747 | − | 20.0747i | 0.339803 | − | 0.0538196i | 0.0157991 | − | 0.999875i | \(-0.494971\pi\) |
0.324004 | + | 0.946056i | \(0.394971\pi\) | |||||||
\(374\) | − | 1.19441i | − | 0.00319360i | ||||||
\(375\) | 158.803 | + | 147.162i | 0.423474 | + | 0.392433i | ||||
\(376\) | 10.3358 | 0.0274887 | ||||||||
\(377\) | −103.014 | − | 650.407i | −0.273247 | − | 1.72522i | ||||
\(378\) | −3.58152 | − | 1.82488i | −0.00947492 | − | 0.00482771i | ||||
\(379\) | 427.164 | − | 138.794i | 1.12708 | − | 0.366211i | 0.314616 | − | 0.949219i | \(-0.398124\pi\) |
0.812467 | + | 0.583008i | \(0.198124\pi\) | |||||||
\(380\) | 169.673 | + | 368.451i | 0.446508 | + | 0.969608i | ||||
\(381\) | −58.7514 | + | 180.818i | −0.154203 | + | 0.474588i | ||||
\(382\) | −2.30576 | − | 2.30576i | −0.00603603 | − | 0.00603603i | ||||
\(383\) | −321.195 | − | 630.381i | −0.838630 | − | 1.64590i | −0.760846 | − | 0.648933i | \(-0.775216\pi\) |
−0.0777841 | − | 0.996970i | \(-0.524784\pi\) | |||||||
\(384\) | 54.6094 | + | 75.1634i | 0.142212 | + | 0.195738i | ||||
\(385\) | −42.9536 | + | 28.6749i | −0.111568 | + | 0.0744803i | ||||
\(386\) | −8.12036 | − | 5.89979i | −0.0210372 | − | 0.0152844i | ||||
\(387\) | −120.675 | − | 19.1130i | −0.311821 | − | 0.0493875i | ||||
\(388\) | 85.6645 | − | 540.864i | 0.220785 | − | 1.39398i | ||||
\(389\) | −16.8577 | + | 23.2027i | −0.0433361 | + | 0.0596470i | −0.830135 | − | 0.557562i | \(-0.811737\pi\) |
0.786799 | + | 0.617209i | \(0.211737\pi\) | |||||||
\(390\) | −1.04279 | + | 26.2631i | −0.00267381 | + | 0.0673413i | ||||
\(391\) | −39.8717 | + | 28.9685i | −0.101974 | + | 0.0740882i | ||||
\(392\) | 55.2682 | − | 28.1606i | 0.140990 | − | 0.0718382i | ||||
\(393\) | −23.6468 | + | 23.6468i | −0.0601700 | + | 0.0601700i | ||||
\(394\) | 26.5726 | + | 8.63395i | 0.0674430 | + | 0.0219136i | ||||
\(395\) | −58.5964 | − | 63.4420i | −0.148345 | − | 0.160613i | ||||
\(396\) | −10.5589 | − | 32.4970i | −0.0266639 | − | 0.0820632i | ||||
\(397\) | −33.0237 | + | 64.8126i | −0.0831831 | + | 0.163256i | −0.928851 | − | 0.370453i | \(-0.879202\pi\) |
0.845668 | + | 0.533709i | \(0.179202\pi\) | |||||||
\(398\) | −6.23230 | + | 0.987099i | −0.0156590 | + | 0.00248015i | ||||
\(399\) | − | 127.432i | − | 0.319380i | ||||||
\(400\) | −30.6112 | + | 384.872i | −0.0765281 | + | 0.962181i | ||||
\(401\) | −18.5608 | −0.0462864 | −0.0231432 | − | 0.999732i | \(-0.507367\pi\) | ||||
−0.0231432 | + | 0.999732i | \(0.507367\pi\) | |||||||
\(402\) | 1.42296 | + | 8.98420i | 0.00353970 | + | 0.0223488i | ||||
\(403\) | 418.587 | + | 213.281i | 1.03868 | + | 0.529233i | ||||
\(404\) | 440.344 | − | 143.076i | 1.08996 | − | 0.354150i | ||||
\(405\) | 44.6903 | − | 5.27066i | 0.110346 | − | 0.0130140i | ||||
\(406\) | 11.1912 | − | 34.4429i | 0.0275645 | − | 0.0848347i | ||||
\(407\) | −90.1692 | − | 90.1692i | −0.221546 | − | 0.221546i | ||||
\(408\) | 2.59283 | + | 5.08872i | 0.00635498 | + | 0.0124723i | ||||
\(409\) | 71.5061 | + | 98.4197i | 0.174831 | + | 0.240635i | 0.887436 | − | 0.460931i | \(-0.152485\pi\) |
−0.712604 | + | 0.701566i | \(0.752485\pi\) | |||||||
\(410\) | 18.1990 | − | 49.2676i | 0.0443878 | − | 0.120165i | ||||
\(411\) | 102.111 | + | 74.1879i | 0.248445 | + | 0.180506i | ||||
\(412\) | −688.773 | − | 109.091i | −1.67178 | − | 0.264784i | ||||
\(413\) | −34.8235 | + | 219.867i | −0.0843184 | + | 0.532365i | ||||
\(414\) | 9.75885 | − | 13.4319i | 0.0235721 | − | 0.0324442i | ||||
\(415\) | 8.01859 | − | 10.1629i | 0.0193219 | − | 0.0244888i | ||||
\(416\) | −116.034 | + | 84.3035i | −0.278927 | + | 0.202653i | ||||
\(417\) | 352.248 | − | 179.480i | 0.844720 | − | 0.430407i | ||||
\(418\) | −9.01994 | + | 9.01994i | −0.0215788 | + | 0.0215788i | ||||
\(419\) | 152.900 | + | 49.6803i | 0.364917 | + | 0.118569i | 0.485735 | − | 0.874106i | \(-0.338552\pi\) |
−0.120818 | + | 0.992675i | \(0.538552\pi\) | |||||||
\(420\) | 60.0237 | − | 107.076i | 0.142914 | − | 0.254943i | ||||
\(421\) | 110.319 | + | 339.528i | 0.262041 | + | 0.806480i | 0.992360 | + | 0.123374i | \(0.0393714\pi\) |
−0.730319 | + | 0.683106i | \(0.760629\pi\) | |||||||
\(422\) | −11.6181 | + | 22.8017i | −0.0275310 | + | 0.0540325i | ||||
\(423\) | 17.8462 | − | 2.82657i | 0.0421897 | − | 0.00668219i | ||||
\(424\) | 143.183i | 0.337695i | ||||||||
\(425\) | −11.2526 | + | 46.6998i | −0.0264767 | + | 0.109882i | ||||
\(426\) | −28.1235 | −0.0660177 | ||||||||
\(427\) | −26.8867 | − | 169.756i | −0.0629666 | − | 0.397555i | ||||
\(428\) | −600.057 | − | 305.744i | −1.40200 | − | 0.714356i | ||||
\(429\) | 66.7549 | − | 21.6900i | 0.155606 | − | 0.0505594i | ||||
\(430\) | −8.58947 | + | 43.0888i | −0.0199755 | + | 0.100207i | ||||
\(431\) | −44.0907 | + | 135.697i | −0.102299 | + | 0.314843i | −0.989087 | − | 0.147333i | \(-0.952931\pi\) |
0.886788 | + | 0.462176i | \(0.152931\pi\) | |||||||
\(432\) | 56.7431 | + | 56.7431i | 0.131350 | + | 0.131350i | ||||
\(433\) | 23.3553 | + | 45.8375i | 0.0539384 | + | 0.105860i | 0.916402 | − | 0.400259i | \(-0.131080\pi\) |
−0.862464 | + | 0.506119i | \(0.831080\pi\) | |||||||
\(434\) | 15.1863 | + | 20.9021i | 0.0349915 | + | 0.0481616i | ||||
\(435\) | 109.889 | + | 390.257i | 0.252619 | + | 0.897143i | ||||
\(436\) | 663.711 | + | 482.215i | 1.52227 | + | 1.10600i | ||||
\(437\) | 519.869 | + | 82.3391i | 1.18963 | + | 0.188419i | ||||
\(438\) | 4.51494 | − | 28.5062i | 0.0103081 | − | 0.0650827i | ||||
\(439\) | 74.2230 | − | 102.159i | 0.169073 | − | 0.232709i | −0.716070 | − | 0.698029i | \(-0.754061\pi\) |
0.885143 | + | 0.465320i | \(0.154061\pi\) | |||||||
\(440\) | −23.7946 | + | 6.70012i | −0.0540787 | + | 0.0152276i | ||||
\(441\) | 87.7277 | − | 63.7379i | 0.198929 | − | 0.144530i | ||||
\(442\) | −5.19599 | + | 2.64749i | −0.0117556 | + | 0.00598980i | ||||
\(443\) | 272.201 | − | 272.201i | 0.614449 | − | 0.614449i | −0.329653 | − | 0.944102i | \(-0.606932\pi\) |
0.944102 | + | 0.329653i | \(0.106932\pi\) | |||||||
\(444\) | 288.254 | + | 93.6595i | 0.649221 | + | 0.210945i | ||||
\(445\) | −301.132 | − | 60.0288i | −0.676702 | − | 0.134896i | ||||
\(446\) | −4.94440 | − | 15.2173i | −0.0110861 | − | 0.0341195i | ||||
\(447\) | −82.2864 | + | 161.496i | −0.184086 | + | 0.361289i | ||||
\(448\) | 210.960 | − | 33.4127i | 0.470892 | − | 0.0745820i | ||||
\(449\) | − | 335.363i | − | 0.746910i | −0.927648 | − | 0.373455i | \(-0.878173\pi\) | ||
0.927648 | − | 0.373455i | \(-0.121827\pi\) | |||||||
\(450\) | −1.25628 | − | 16.1336i | −0.00279173 | − | 0.0358524i | ||||
\(451\) | −140.257 | −0.310991 | ||||||||
\(452\) | −110.764 | − | 699.339i | −0.245054 | − | 1.54721i | ||||
\(453\) | −2.09946 | − | 1.06973i | −0.00463457 | − | 0.00236143i | ||||
\(454\) | 23.1695 | − | 7.52823i | 0.0510342 | − | 0.0165820i | ||||
\(455\) | 219.954 | + | 123.300i | 0.483415 | + | 0.270989i | ||||
\(456\) | 18.8485 | − | 58.0097i | 0.0413344 | − | 0.127214i | ||||
\(457\) | −137.686 | − | 137.686i | −0.301282 | − | 0.301282i | 0.540233 | − | 0.841515i | \(-0.318336\pi\) |
−0.841515 | + | 0.540233i | \(0.818336\pi\) | |||||||
\(458\) | −28.0063 | − | 54.9654i | −0.0611491 | − | 0.120012i | ||||
\(459\) | 5.86855 | + | 8.07736i | 0.0127855 | + | 0.0175977i | ||||
\(460\) | 398.039 | + | 314.057i | 0.865303 | + | 0.682732i | ||||
\(461\) | −466.859 | − | 339.193i | −1.01271 | − | 0.735777i | −0.0479339 | − | 0.998851i | \(-0.515264\pi\) |
−0.964776 | + | 0.263074i | \(0.915264\pi\) | |||||||
\(462\) | 3.81264 | + | 0.603862i | 0.00825246 | + | 0.00130706i | ||||
\(463\) | 71.2905 | − | 450.111i | 0.153975 | − | 0.972161i | −0.782811 | − | 0.622259i | \(-0.786215\pi\) |
0.936786 | − | 0.349902i | \(-0.113785\pi\) | |||||||
\(464\) | −424.965 | + | 584.915i | −0.915874 | + | 1.26059i | ||||
\(465\) | −271.322 | − | 100.224i | −0.583487 | − | 0.215535i | ||||
\(466\) | −41.9751 | + | 30.4967i | −0.0900753 | + | 0.0654436i | ||||
\(467\) | −701.497 | + | 357.430i | −1.50213 | + | 0.765375i | −0.995316 | − | 0.0966775i | \(-0.969178\pi\) |
−0.506818 | + | 0.862053i | \(0.669178\pi\) | |||||||
\(468\) | −117.966 | + | 117.966i | −0.252065 | + | 0.252065i | ||||
\(469\) | 82.9939 | + | 26.9664i | 0.176959 | + | 0.0574976i | ||||
\(470\) | −0.761043 | − | 6.45294i | −0.00161924 | − | 0.0137297i | ||||
\(471\) | −51.7376 | − | 159.232i | −0.109846 | − | 0.338072i | ||||
\(472\) | −48.3727 | + | 94.9369i | −0.102485 | + | 0.201137i | ||||
\(473\) | 115.887 | − | 18.3547i | 0.245004 | − | 0.0388049i | ||||
\(474\) | 6.45500i | 0.0136181i | ||||||||
\(475\) | 437.646 | − | 267.691i | 0.921360 | − | 0.563560i | ||||
\(476\) | 27.2351 | 0.0572165 | ||||||||
\(477\) | 39.1568 | + | 247.226i | 0.0820898 | + | 0.518295i | ||||
\(478\) | 18.4148 | + | 9.38279i | 0.0385246 | + | 0.0196293i | ||||
\(479\) | 823.815 | − | 267.674i | 1.71987 | − | 0.558818i | 0.727940 | − | 0.685641i | \(-0.240478\pi\) |
0.991925 | + | 0.126823i | \(0.0404780\pi\) | |||||||
\(480\) | 64.8686 | − | 59.9140i | 0.135143 | − | 0.124821i | ||||
\(481\) | −192.394 | + | 592.128i | −0.399987 | + | 1.23103i | ||||
\(482\) | 43.4914 | + | 43.4914i | 0.0902311 | + | 0.0902311i | ||||
\(483\) | −72.3115 | − | 141.919i | −0.149713 | − | 0.293829i | ||||
\(484\) | −261.890 | − | 360.460i | −0.541094 | − | 0.744752i | ||||
\(485\) | −692.023 | − | 27.4770i | −1.42685 | − | 0.0566536i | ||||
\(486\) | −2.72109 | − | 1.97699i | −0.00559895 | − | 0.00406787i | ||||
\(487\) | −624.237 | − | 98.8694i | −1.28180 | − | 0.203017i | −0.521872 | − | 0.853024i | \(-0.674766\pi\) |
−0.759929 | + | 0.650006i | \(0.774766\pi\) | |||||||
\(488\) | 12.8692 | − | 81.2531i | 0.0263714 | − | 0.166502i | ||||
\(489\) | −115.356 | + | 158.774i | −0.235903 | + | 0.324692i | ||||
\(490\) | −21.6510 | − | 32.4322i | −0.0441858 | − | 0.0661881i | ||||
\(491\) | −676.866 | + | 491.772i | −1.37854 | + | 1.00157i | −0.381531 | + | 0.924356i | \(0.624603\pi\) |
−0.997014 | + | 0.0772153i | \(0.975397\pi\) | |||||||
\(492\) | 297.031 | − | 151.345i | 0.603722 | − | 0.307612i | ||||
\(493\) | −63.6068 | + | 63.6068i | −0.129020 | + | 0.129020i | ||||
\(494\) | 59.2326 | + | 19.2458i | 0.119904 | + | 0.0389592i | ||||
\(495\) | −39.2526 | + | 18.0760i | −0.0792982 | + | 0.0365171i | ||||
\(496\) | −159.389 | − | 490.548i | −0.321348 | − | 0.989007i | ||||
\(497\) | −122.489 | + | 240.398i | −0.246457 | + | 0.483698i | ||||
\(498\) | −0.955664 | + | 0.151362i | −0.00191900 | + | 0.000303941i | ||||
\(499\) | − | 184.320i | − | 0.369378i | −0.982797 | − | 0.184689i | \(-0.940872\pi\) | ||
0.982797 | − | 0.184689i | \(-0.0591278\pi\) | |||||||
\(500\) | 493.823 | − | 18.7873i | 0.987647 | − | 0.0375745i | ||||
\(501\) | −483.360 | −0.964791 | ||||||||
\(502\) | 6.82574 | + | 43.0960i | 0.0135971 | + | 0.0858487i | ||||
\(503\) | −45.2561 | − | 23.0591i | −0.0899724 | − | 0.0458432i | 0.408425 | − | 0.912792i | \(-0.366078\pi\) |
−0.498398 | + | 0.866949i | \(0.666078\pi\) | |||||||
\(504\) | −17.5545 | + | 5.70379i | −0.0348303 | + | 0.0113170i | ||||
\(505\) | −244.935 | − | 531.885i | −0.485019 | − | 1.05324i | ||||
\(506\) | −4.92699 | + | 15.1637i | −0.00973713 | + | 0.0299678i | ||||
\(507\) | −35.3429 | − | 35.3429i | −0.0697099 | − | 0.0697099i | ||||
\(508\) | 197.014 | + | 386.662i | 0.387823 | + | 0.761146i | ||||
\(509\) | −130.328 | − | 179.381i | −0.256047 | − | 0.352418i | 0.661571 | − | 0.749883i | \(-0.269890\pi\) |
−0.917617 | + | 0.397465i | \(0.869890\pi\) | |||||||
\(510\) | 2.98613 | − | 1.99348i | 0.00585516 | − | 0.00390878i | ||||
\(511\) | −224.005 | − | 162.749i | −0.438366 | − | 0.318492i | ||||
\(512\) | 260.235 | + | 41.2171i | 0.508271 | + | 0.0805022i | ||||
\(513\) | 16.6806 | − | 105.317i | 0.0325157 | − | 0.205296i | ||||
\(514\) | −59.5608 | + | 81.9785i | −0.115877 | + | 0.159491i | ||||
\(515\) | −34.9911 | + | 881.269i | −0.0679438 | + | 1.71120i | ||||
\(516\) | −225.615 | + | 163.919i | −0.437239 | + | 0.317673i | ||||
\(517\) | −15.4606 | + | 7.87757i | −0.0299045 | + | 0.0152371i | ||||
\(518\) | −24.2115 | + | 24.2115i | −0.0467404 | + | 0.0467404i | ||||
\(519\) | −129.901 | − | 42.2072i | −0.250290 | − | 0.0813241i | ||||
\(520\) | 81.8899 | + | 88.6618i | 0.157481 | + | 0.170503i | ||||
\(521\) | −14.5481 | − | 44.7746i | −0.0279235 | − | 0.0859397i | 0.936124 | − | 0.351671i | \(-0.114387\pi\) |
−0.964047 | + | 0.265732i | \(0.914387\pi\) | |||||||
\(522\) | 13.7575 | − | 27.0006i | 0.0263553 | − | 0.0517252i | ||||
\(523\) | −204.537 | + | 32.3954i | −0.391083 | + | 0.0619415i | −0.348880 | − | 0.937168i | \(-0.613438\pi\) |
−0.0422036 | + | 0.999109i | \(0.513438\pi\) | |||||||
\(524\) | 76.3314i | 0.145671i | ||||||||
\(525\) | −143.380 | − | 59.5294i | −0.273105 | − | 0.113389i | ||||
\(526\) | −64.6061 | −0.122825 | ||||||||
\(527\) | −10.0390 | − | 63.3838i | −0.0190494 | − | 0.120273i | ||||
\(528\) | −68.6638 | − | 34.9859i | −0.130045 | − | 0.0662613i | ||||
\(529\) | 122.583 | − | 39.8297i | 0.231726 | − | 0.0752925i | ||||
\(530\) | 89.3935 | − | 10.5428i | 0.168667 | − | 0.0198922i | ||||
\(531\) | −57.5600 | + | 177.151i | −0.108399 | + | 0.333618i | ||||
\(532\) | −205.674 | − | 205.674i | −0.386606 | − | 0.386606i | ||||
\(533\) | 310.891 | + | 610.157i | 0.583284 | + | 1.14476i | ||||
\(534\) | 13.4900 | + | 18.5673i | 0.0252621 | + | 0.0347703i | ||||
\(535\) | −295.132 | + | 798.971i | −0.551649 | + | 1.49340i | ||||
\(536\) | 33.7918 | + | 24.5512i | 0.0630445 | + | 0.0458045i | ||||
\(537\) | −486.778 | − | 77.0981i | −0.906478 | − | 0.143572i | ||||
\(538\) | 5.62227 | − | 35.4976i | 0.0104503 | − | 0.0659807i | ||||
\(539\) | −61.2092 | + | 84.2472i | −0.113561 | + | 0.156303i | ||||
\(540\) | 63.6228 | − | 80.6363i | 0.117820 | − | 0.149326i | ||||
\(541\) | 92.2535 | − | 67.0261i | 0.170524 | − | 0.123893i | −0.499250 | − | 0.866458i | \(-0.666391\pi\) |
0.669774 | + | 0.742565i | \(0.266391\pi\) | |||||||
\(542\) | −71.5987 | + | 36.4814i | −0.132101 | + | 0.0673088i | ||||
\(543\) | −74.7959 | + | 74.7959i | −0.137746 | + | 0.137746i | ||||
\(544\) | 18.6332 | + | 6.05428i | 0.0342522 | + | 0.0111292i | ||||
\(545\) | 507.352 | − | 905.062i | 0.930922 | − | 1.66066i | ||||
\(546\) | −5.82403 | − | 17.9245i | −0.0106667 | − | 0.0328288i | ||||
\(547\) | −216.121 | + | 424.162i | −0.395103 | + | 0.775434i | −0.999779 | − | 0.0210383i | \(-0.993303\pi\) |
0.604676 | + | 0.796472i | \(0.293303\pi\) | |||||||
\(548\) | 284.544 | − | 45.0673i | 0.519241 | − | 0.0822397i | ||||
\(549\) | − | 143.815i | − | 0.261958i | ||||||
\(550\) | 5.93514 | + | 14.3624i | 0.0107912 | + | 0.0261134i | ||||
\(551\) | 960.695 | 1.74355 | ||||||||
\(552\) | −11.9263 | − | 75.3000i | −0.0216057 | − | 0.136413i | ||||
\(553\) | 55.1769 | + | 28.1140i | 0.0997774 | + | 0.0508391i | ||||
\(554\) | −62.5907 | + | 20.3369i | −0.112980 | + | 0.0367093i | ||||
\(555\) | 74.9383 | − | 375.925i | 0.135024 | − | 0.677343i | ||||
\(556\) | 278.847 | − | 858.202i | 0.501523 | − | 1.54353i | ||||
\(557\) | 750.511 | + | 750.511i | 1.34742 | + | 1.34742i | 0.888457 | + | 0.458959i | \(0.151778\pi\) |
0.458959 | + | 0.888457i | \(0.348222\pi\) | |||||||
\(558\) | 9.81473 | + | 19.2625i | 0.0175891 | + | 0.0345206i | ||||
\(559\) | −336.720 | − | 463.456i | −0.602362 | − | 0.829080i | ||||
\(560\) | −75.0368 | − | 266.483i | −0.133994 | − | 0.475863i | ||||
\(561\) | −7.75690 | − | 5.63572i | −0.0138269 | − | 0.0100458i | ||||
\(562\) | 86.6704 | + | 13.7272i | 0.154218 | + | 0.0244257i | ||||
\(563\) | −14.1060 | + | 89.0616i | −0.0250550 | + | 0.158191i | −0.997044 | − | 0.0768365i | \(-0.975518\pi\) |
0.971989 | + | 0.235028i | \(0.0755181\pi\) | |||||||
\(564\) | 24.2416 | − | 33.3656i | 0.0429815 | − | 0.0591589i | ||||
\(565\) | −861.973 | + | 242.716i | −1.52562 | + | 0.429585i | ||||
\(566\) | 27.2739 | − | 19.8156i | 0.0481871 | − | 0.0350100i | ||||
\(567\) | −28.7506 | + | 14.6491i | −0.0507064 | + | 0.0258362i | ||||
\(568\) | −91.3165 | + | 91.3165i | −0.160769 | + | 0.160769i | ||||
\(569\) | 130.069 | + | 42.2620i | 0.228592 | + | 0.0742742i | 0.421074 | − | 0.907026i | \(-0.361653\pi\) |
−0.192481 | + | 0.981301i | \(0.561653\pi\) | |||||||
\(570\) | −37.6051 | − | 7.49634i | −0.0659739 | − | 0.0131515i | ||||
\(571\) | −168.661 | − | 519.087i | −0.295379 | − | 0.909083i | −0.983094 | − | 0.183102i | \(-0.941386\pi\) |
0.687715 | − | 0.725981i | \(-0.258614\pi\) | |||||||
\(572\) | 72.7342 | − | 142.749i | 0.127158 | − | 0.249561i | ||||
\(573\) | −25.8541 | + | 4.09488i | −0.0451205 | + | 0.00714639i | ||||
\(574\) | 37.6608i | 0.0656111i | ||||||||
\(575\) | 335.498 | − | 546.465i | 0.583474 | − | 0.950373i | ||||
\(576\) | 178.722 | 0.310281 | ||||||||
\(577\) | −16.8214 | − | 106.206i | −0.0291532 | − | 0.184066i | 0.968815 | − | 0.247787i | \(-0.0797033\pi\) |
−0.997968 | + | 0.0637208i | \(0.979703\pi\) | |||||||
\(578\) | −54.8500 | − | 27.9475i | −0.0948962 | − | 0.0483520i | ||||
\(579\) | −76.6307 | + | 24.8988i | −0.132350 | + | 0.0430032i | ||||
\(580\) | 807.230 | + | 452.510i | 1.39178 | + | 0.780190i | ||||
\(581\) | −2.86846 | + | 8.82820i | −0.00493710 | + | 0.0151948i | ||||
\(582\) | 36.6033 | + | 36.6033i | 0.0628922 | + | 0.0628922i | ||||
\(583\) | −109.129 | − | 214.178i | −0.187186 | − | 0.367372i | ||||
\(584\) | −77.8992 | − | 107.219i | −0.133389 | − | 0.183594i | ||||
\(585\) | 165.642 | + | 130.693i | 0.283149 | + | 0.223407i | ||||
\(586\) | 5.99854 | + | 4.35820i | 0.0102364 | + | 0.00743719i | ||||
\(587\) | −188.391 | − | 29.8383i | −0.320939 | − | 0.0508318i | −0.00611368 | − | 0.999981i | \(-0.501946\pi\) |
−0.314826 | + | 0.949150i | \(0.601946\pi\) | |||||||
\(588\) | 38.7192 | − | 244.463i | 0.0658490 | − | 0.415754i | ||||
\(589\) | −402.851 | + | 554.477i | −0.683957 | + | 0.941386i | ||||
\(590\) | 62.8338 | + | 23.2102i | 0.106498 | + | 0.0393394i | ||||
\(591\) | 181.453 | − | 131.833i | 0.307027 | − | 0.223068i | ||||
\(592\) | 609.060 | − | 310.331i | 1.02882 | − | 0.524209i | ||||
\(593\) | 324.975 | − | 324.975i | 0.548019 | − | 0.548019i | −0.377848 | − | 0.925867i | \(-0.623336\pi\) |
0.925867 | + | 0.377848i | \(0.123336\pi\) | |||||||
\(594\) | 3.07192 | + | 0.998128i | 0.00517159 | + | 0.00168035i | ||||
\(595\) | −4.03436 | − | 34.2076i | −0.00678044 | − | 0.0574918i | ||||
\(596\) | 127.844 | + | 393.462i | 0.214503 | + | 0.660171i | ||||
\(597\) | −22.9961 | + | 45.1324i | −0.0385194 | + | 0.0755986i | ||||
\(598\) | 76.8874 | − | 12.1778i | 0.128574 | − | 0.0203642i | ||||
\(599\) | 916.574i | 1.53017i | 0.643927 | + | 0.765087i | \(0.277304\pi\) | ||||
−0.643927 | + | 0.765087i | \(0.722696\pi\) | |||||||
\(600\) | −56.4645 | − | 48.3063i | −0.0941075 | − | 0.0805104i | ||||
\(601\) | 351.969 | 0.585638 | 0.292819 | − | 0.956168i | \(-0.405407\pi\) | ||||
0.292819 | + | 0.956168i | \(0.405407\pi\) | |||||||
\(602\) | −4.92846 | − | 31.1171i | −0.00818682 | − | 0.0516895i | ||||
\(603\) | 65.0608 | + | 33.1501i | 0.107895 | + | 0.0549753i | ||||
\(604\) | −5.11503 | + | 1.66197i | −0.00846860 | + | 0.00275161i | ||||
\(605\) | −413.949 | + | 382.332i | −0.684213 | + | 0.631955i | ||||
\(606\) | −13.5249 | + | 41.6254i | −0.0223184 | + | 0.0686888i | ||||
\(607\) | 535.928 | + | 535.928i | 0.882913 | + | 0.882913i | 0.993830 | − | 0.110916i | \(-0.0353786\pi\) |
−0.110916 | + | 0.993830i | \(0.535379\pi\) | |||||||
\(608\) | −94.9935 | − | 186.435i | −0.156239 | − | 0.306637i | ||||
\(609\) | −170.880 | − | 235.196i | −0.280591 | − | 0.386200i | ||||
\(610\) | −51.6764 | − | 2.05183i | −0.0847154 | − | 0.00336366i | ||||
\(611\) | 68.5392 | + | 49.7967i | 0.112176 | + | 0.0815003i | ||||
\(612\) | 22.5085 | + | 3.56500i | 0.0367786 | + | 0.00582516i | ||||
\(613\) | −45.2566 | + | 285.739i | −0.0738281 | + | 0.466132i | 0.922882 | + | 0.385083i | \(0.125827\pi\) |
−0.996710 | + | 0.0810495i | \(0.974173\pi\) | |||||||
\(614\) | 21.9892 | − | 30.2656i | 0.0358131 | − | 0.0492925i | ||||
\(615\) | −234.091 | − | 350.657i | −0.380636 | − | 0.570173i | ||||
\(616\) | 14.3403 | − | 10.4188i | 0.0232797 | − | 0.0169137i | ||||
\(617\) | 617.881 | − | 314.826i | 1.00143 | − | 0.510253i | 0.125191 | − | 0.992133i | \(-0.460046\pi\) |
0.876238 | + | 0.481879i | \(0.160046\pi\) | |||||||
\(618\) | 46.6131 | − | 46.6131i | 0.0754257 | − | 0.0754257i | ||||
\(619\) | 277.577 | + | 90.1904i | 0.448429 | + | 0.145703i | 0.524521 | − | 0.851397i | \(-0.324244\pi\) |
−0.0760924 | + | 0.997101i | \(0.524244\pi\) | |||||||
\(620\) | −599.669 | + | 276.150i | −0.967209 | + | 0.445403i | ||||
\(621\) | −41.1852 | − | 126.755i | −0.0663208 | − | 0.204114i | ||||
\(622\) | 58.1454 | − | 114.117i | 0.0934814 | − | 0.183468i | ||||
\(623\) | 217.466 | − | 34.4433i | 0.349063 | − | 0.0552862i | ||||
\(624\) | 376.255i | 0.602973i | ||||||||
\(625\) | −96.7477 | − | 617.467i | −0.154796 | − | 0.987946i | ||||
\(626\) | −23.3110 | −0.0372380 | ||||||||
\(627\) | 16.0188 | + | 101.139i | 0.0255483 | + | 0.161306i | ||||
\(628\) | −340.502 | − | 173.494i | −0.542201 | − | 0.276265i | ||||
\(629\) | 80.8852 | − | 26.2812i | 0.128593 | − | 0.0417825i | ||||
\(630\) | 4.85362 | + | 10.5398i | 0.00770417 | + | 0.0167299i | ||||
\(631\) | −82.7142 | + | 254.568i | −0.131084 | + | 0.403436i | −0.994960 | − | 0.100268i | \(-0.968030\pi\) |
0.863876 | + | 0.503704i | \(0.168030\pi\) | |||||||
\(632\) | 20.9592 | + | 20.9592i | 0.0331634 | + | 0.0331634i | ||||
\(633\) | 93.2637 | + | 183.040i | 0.147336 | + | 0.289163i | ||||
\(634\) | −33.8857 | − | 46.6396i | −0.0534474 | − | 0.0735641i | ||||
\(635\) | 456.470 | − | 304.730i | 0.718850 | − | 0.479889i | ||||
\(636\) | 462.219 | + | 335.822i | 0.726760 | + | 0.528022i | ||||
\(637\) | 502.173 | + | 79.5365i | 0.788341 | + | 0.124861i | ||||
\(638\) | −4.55243 | + | 28.7429i | −0.00713547 | + | 0.0450516i | ||||
\(639\) | −132.699 | + | 182.644i | −0.207667 | + | 0.285828i | ||||
\(640\) | 10.6406 | − | 267.989i | 0.0166259 | − | 0.418732i | ||||
\(641\) | 749.586 | − | 544.606i | 1.16940 | − | 0.849619i | 0.178463 | − | 0.983947i | \(-0.442887\pi\) |
0.990937 | + | 0.134327i | \(0.0428874\pi\) | |||||||
\(642\) | 56.7230 | − | 28.9018i | 0.0883536 | − | 0.0450184i | ||||
\(643\) | −546.871 | + | 546.871i | −0.850499 | + | 0.850499i | −0.990194 | − | 0.139696i | \(-0.955388\pi\) |
0.139696 | + | 0.990194i | \(0.455388\pi\) | |||||||
\(644\) | −345.766 | − | 112.346i | −0.536903 | − | 0.174450i | ||||
\(645\) | 239.306 | + | 259.095i | 0.371016 | + | 0.401697i | ||||
\(646\) | −2.62900 | − | 8.09123i | −0.00406966 | − | 0.0125251i | ||||
\(647\) | −239.617 | + | 470.275i | −0.370351 | + | 0.726855i | −0.998695 | − | 0.0510810i | \(-0.983733\pi\) |
0.628343 | + | 0.777936i | \(0.283733\pi\) | |||||||
\(648\) | −15.2546 | + | 2.41608i | −0.0235410 | + | 0.00372852i | ||||
\(649\) | − | 178.878i | − | 0.275621i | ||||||
\(650\) | 49.3246 | − | 57.6548i | 0.0758840 | − | 0.0886997i | ||||
\(651\) | 207.402 | 0.318589 | ||||||||
\(652\) | 70.0762 | + | 442.443i | 0.107479 | + | 0.678594i | ||||
\(653\) | 479.923 | + | 244.533i | 0.734951 | + | 0.374476i | 0.781057 | − | 0.624460i | \(-0.214681\pi\) |
−0.0461053 | + | 0.998937i | \(0.514681\pi\) | |||||||
\(654\) | −73.7555 | + | 23.9646i | −0.112776 | + | 0.0366432i | ||||
\(655\) | 95.8733 | − | 11.3071i | 0.146371 | − | 0.0172627i | ||||
\(656\) | 232.334 | − | 715.051i | 0.354168 | − | 1.09002i | ||||
\(657\) | −163.826 | − | 163.826i | −0.249355 | − | 0.249355i | ||||
\(658\) | 2.11523 | + | 4.15136i | 0.00321463 | + | 0.00630907i | ||||
\(659\) | −708.681 | − | 975.415i | −1.07539 | − | 1.48014i | −0.864499 | − | 0.502634i | \(-0.832364\pi\) |
−0.210889 | − | 0.977510i | \(-0.567636\pi\) | |||||||
\(660\) | −34.1788 | + | 92.5277i | −0.0517861 | + | 0.140193i | ||||
\(661\) | 46.1717 | + | 33.5457i | 0.0698513 | + | 0.0507500i | 0.622163 | − | 0.782888i | \(-0.286254\pi\) |
−0.552312 | + | 0.833638i | \(0.686254\pi\) | |||||||
\(662\) | −122.978 | − | 19.4777i | −0.185767 | − | 0.0294225i | ||||
\(663\) | −7.32317 | + | 46.2367i | −0.0110455 | + | 0.0697386i | ||||
\(664\) | −2.61155 | + | 3.59449i | −0.00393306 | + | 0.00541340i | ||||
\(665\) | −227.863 | + | 288.797i | −0.342652 | + | 0.434281i | ||||
\(666\) | −23.1789 | + | 16.8405i | −0.0348032 | + | 0.0252860i | ||||
\(667\) | 1069.91 | − | 545.146i | 1.60406 | − | 0.817310i | ||||
\(668\) | −780.137 | + | 780.137i | −1.16787 | + | 1.16787i | ||||
\(669\) | −122.156 | − | 39.6910i | −0.182595 | − | 0.0593289i | ||||
\(670\) | 12.8399 | − | 22.9051i | 0.0191641 | − | 0.0341867i | ||||
\(671\) | 42.6781 | + | 131.350i | 0.0636038 | + | 0.195752i | ||||
\(672\) | −28.7462 | + | 56.4176i | −0.0427771 | + | 0.0839548i | ||||
\(673\) | −512.305 | + | 81.1411i | −0.761225 | + | 0.120566i | −0.524965 | − | 0.851124i | \(-0.675922\pi\) |
−0.236260 | + | 0.971690i | \(0.575922\pi\) | |||||||
\(674\) | − | 32.7091i | − | 0.0485299i | ||||||
\(675\) | −110.705 | − | 67.9664i | −0.164007 | − | 0.100691i | ||||
\(676\) | −114.086 | −0.168766 | ||||||||
\(677\) | −160.974 | − | 1016.35i | −0.237775 | − | 1.50125i | −0.760829 | − | 0.648953i | \(-0.775207\pi\) |
0.523054 | − | 0.852300i | \(-0.324793\pi\) | |||||||
\(678\) | 59.6369 | + | 30.3865i | 0.0879601 | + | 0.0448179i | ||||
\(679\) | 472.304 | − | 153.461i | 0.695588 | − | 0.226010i | ||||
\(680\) | 3.22312 | − | 16.1687i | 0.00473989 | − | 0.0237775i | ||||
\(681\) | 60.4327 | − | 185.993i | 0.0887411 | − | 0.273117i | ||||
\(682\) | −14.6803 | − | 14.6803i | −0.0215254 | − | 0.0215254i | ||||
\(683\) | 10.9833 | + | 21.5559i | 0.0160809 | + | 0.0315606i | 0.898907 | − | 0.438139i | \(-0.144362\pi\) |
−0.882826 | + | 0.469700i | \(0.844362\pi\) | |||||||
\(684\) | −143.058 | − | 196.903i | −0.209149 | − | 0.287869i | ||||
\(685\) | −98.7551 | − | 350.716i | −0.144168 | − | 0.511994i | ||||
\(686\) | 53.2875 | + | 38.7156i | 0.0776786 | + | 0.0564368i | ||||
\(687\) | −489.111 | − | 77.4676i | −0.711952 | − | 0.112762i | ||||
\(688\) | −98.3905 | + | 621.213i | −0.143009 | + | 0.902926i | ||||
\(689\) | −689.840 | + | 949.484i | −1.00122 | + | 1.37806i | ||||
\(690\) | −46.1340 | + | 12.9905i | −0.0668608 | + | 0.0188268i | ||||
\(691\) | −126.449 | + | 91.8707i | −0.182994 | + | 0.132953i | −0.675511 | − | 0.737350i | \(-0.736077\pi\) |
0.492517 | + | 0.870303i | \(0.336077\pi\) | |||||||
\(692\) | −277.780 | + | 141.536i | −0.401416 | + | 0.204532i | ||||
\(693\) | 21.9114 | − | 21.9114i | 0.0316181 | − | 0.0316181i | ||||
\(694\) | −72.4784 | − | 23.5497i | −0.104436 | − | 0.0339332i | ||||
\(695\) | −1119.22 | − | 223.109i | −1.61039 | − | 0.321020i | ||||
\(696\) | −43.0000 | − | 132.341i | −0.0617817 | − | 0.190144i | ||||
\(697\) | 42.4679 | − | 83.3480i | 0.0609296 | − | 0.119581i | ||||
\(698\) | −82.1151 | + | 13.0058i | −0.117643 | + | 0.0186329i | ||||
\(699\) | 416.498i | 0.595849i | ||||||||
\(700\) | −327.494 | + | 135.334i | −0.467848 | + | 0.193335i | ||||
\(701\) | 440.747 | 0.628741 | 0.314370 | − | 0.949300i | \(-0.398207\pi\) | ||||
0.314370 | + | 0.949300i | \(0.398207\pi\) | |||||||
\(702\) | −2.46702 | − | 15.5761i | −0.00351427 | − | 0.0221882i | ||||
\(703\) | −809.302 | − | 412.360i | −1.15121 | − | 0.586572i | ||||
\(704\) | −163.231 | + | 53.0370i | −0.231863 | + | 0.0753367i | ||||
\(705\) | −45.4987 | − | 25.5053i | −0.0645371 | − | 0.0361777i | ||||
\(706\) | −14.2659 | + | 43.9059i | −0.0202067 | + | 0.0621897i | ||||
\(707\) | 296.905 | + | 296.905i | 0.419951 | + | 0.419951i | ||||
\(708\) | 193.019 | + | 378.821i | 0.272626 | + | 0.535058i | ||||
\(709\) | −224.658 | − | 309.215i | −0.316866 | − | 0.436129i | 0.620641 | − | 0.784095i | \(-0.286872\pi\) |
−0.937507 | + | 0.347966i | \(0.886872\pi\) | |||||||
\(710\) | 63.7356 | + | 50.2880i | 0.0897685 | + | 0.0708281i | ||||
\(711\) | 41.9211 | + | 30.4574i | 0.0589607 | + | 0.0428375i | ||||
\(712\) | 104.089 | + | 16.4861i | 0.146193 | + | 0.0231547i | ||||
\(713\) | −134.010 | + | 846.108i | −0.187953 | + | 1.18669i | ||||
\(714\) | −1.51326 | + | 2.08282i | −0.00211941 | + | 0.00291712i | ||||
\(715\) | −190.069 | − | 70.2097i | −0.265831 | − | 0.0981954i | ||||
\(716\) | −910.090 | + | 661.219i | −1.27107 | + | 0.923490i | ||||
\(717\) | 147.824 | − | 75.3201i | 0.206170 | − | 0.105049i | ||||
\(718\) | 31.5376 | − | 31.5376i | 0.0439242 | − | 0.0439242i | ||||
\(719\) | 341.861 | + | 111.078i | 0.475468 | + | 0.154489i | 0.536941 | − | 0.843620i | \(-0.319580\pi\) |
−0.0614729 | + | 0.998109i | \(0.519580\pi\) | |||||||
\(720\) | −27.1325 | − | 230.058i | −0.0376840 | − | 0.319525i | ||||
\(721\) | −195.427 | − | 601.464i | −0.271051 | − | 0.834208i | ||||
\(722\) | −5.88790 | + | 11.5557i | −0.00815499 | + | 0.0160051i | ||||
\(723\) | 487.660 | − | 77.2378i | 0.674495 | − | 0.106830i | ||||
\(724\) | 241.439i | 0.333480i | ||||||||
\(725\) | 448.784 | − | 1080.92i | 0.619012 | − | 1.49093i | ||||
\(726\) | 42.1178 | 0.0580136 | ||||||||
\(727\) | 129.530 | + | 817.821i | 0.178171 | + | 1.12493i | 0.900975 | + | 0.433872i | \(0.142853\pi\) |
−0.722804 | + | 0.691053i | \(0.757147\pi\) | |||||||
\(728\) | −77.1111 | − | 39.2901i | −0.105922 | − | 0.0539699i | ||||
\(729\) | −25.6785 | + | 8.34346i | −0.0352243 | + | 0.0114451i | ||||
\(730\) | −61.2043 | + | 56.5297i | −0.0838416 | + | 0.0774379i | ||||
\(731\) | −24.1817 | + | 74.4236i | −0.0330803 | + | 0.101811i | ||||
\(732\) | −232.115 | − | 232.115i | −0.317098 | − | 0.317098i | ||||
\(733\) | 52.6684 | + | 103.368i | 0.0718532 | + | 0.141020i | 0.924139 | − | 0.382057i | \(-0.124784\pi\) |
−0.852286 | + | 0.523077i | \(0.824784\pi\) | |||||||
\(734\) | 45.9265 | + | 63.2125i | 0.0625702 | + | 0.0861205i | ||||
\(735\) | −312.785 | − | 12.4192i | −0.425558 | − | 0.0168969i | ||||
\(736\) | −211.585 | − | 153.726i | −0.287480 | − | 0.208866i | ||||
\(737\) | −69.2592 | − | 10.9696i | −0.0939744 | − | 0.0148841i | ||||
\(738\) | −4.92969 | + | 31.1249i | −0.00667980 | + | 0.0421746i | ||||
\(739\) | 266.096 | − | 366.249i | 0.360075 | − | 0.495601i | −0.590094 | − | 0.807334i | \(-0.700909\pi\) |
0.950170 | + | 0.311733i | \(0.100909\pi\) | |||||||
\(740\) | −485.789 | − | 727.688i | −0.656472 | − | 0.983363i | ||||
\(741\) | 404.474 | − | 293.868i | 0.545850 | − | 0.396583i | ||||
\(742\) | −57.5094 | + | 29.3025i | −0.0775060 | + | 0.0394913i | ||||
\(743\) | 853.549 | − | 853.549i | 1.14879 | − | 1.14879i | 0.161995 | − | 0.986792i | \(-0.448207\pi\) |
0.986792 | − | 0.161995i | \(-0.0517930\pi\) | |||||||
\(744\) | 94.4132 | + | 30.6767i | 0.126899 | + | 0.0412321i | ||||
\(745\) | 475.256 | − | 218.857i | 0.637928 | − | 0.293768i | ||||
\(746\) | 8.55619 | + | 26.3333i | 0.0114694 | + | 0.0352993i | ||||
\(747\) | −3.52623 | + | 6.92062i | −0.00472053 | + | 0.00926456i | ||||
\(748\) | −21.6155 | + | 3.42356i | −0.0288978 | + | 0.00457696i | ||||
\(749\) | − | 610.744i | − | 0.815412i | ||||||
\(750\) | −26.0015 | + | 38.8094i | −0.0346687 | + | 0.0517459i | ||||
\(751\) | −919.063 | −1.22379 | −0.611893 | − | 0.790941i | \(-0.709592\pi\) | ||||
−0.611893 | + | 0.790941i | \(0.709592\pi\) | |||||||
\(752\) | −14.5507 | − | 91.8695i | −0.0193493 | − | 0.122167i | ||||
\(753\) | 312.088 | + | 159.017i | 0.414459 | + | 0.211178i | ||||
\(754\) | 135.130 | − | 43.9065i | 0.179218 | − | 0.0582315i | ||||
\(755\) | 2.84516 | + | 6.17837i | 0.00376842 | + | 0.00818327i | ||||
\(756\) | −22.7595 | + | 70.0465i | −0.0301052 | + | 0.0926542i | ||||
\(757\) | 595.883 | + | 595.883i | 0.787163 | + | 0.787163i | 0.981028 | − | 0.193865i | \(-0.0621024\pi\) |
−0.193865 | + | 0.981028i | \(0.562102\pi\) | |||||||
\(758\) | 43.9964 | + | 86.3478i | 0.0580427 | + | 0.113915i | ||||
\(759\) | 75.2310 | + | 103.547i | 0.0991186 | + | 0.136425i | ||||
\(760\) | −146.444 | + | 97.7627i | −0.192689 | + | 0.128635i | ||||
\(761\) | −587.568 | − | 426.893i | −0.772099 | − | 0.560963i | 0.130498 | − | 0.991449i | \(-0.458342\pi\) |
−0.902597 | + | 0.430486i | \(0.858342\pi\) | |||||||
\(762\) | −40.5170 | − | 6.41727i | −0.0531719 | − | 0.00842161i | ||||
\(763\) | −116.386 | + | 734.833i | −0.152537 | + | 0.963084i | ||||
\(764\) | −35.1190 | + | 48.3372i | −0.0459673 | + | 0.0632686i | ||||
\(765\) | 1.14348 | − | 28.7991i | 0.00149474 | − | 0.0376459i | ||||
\(766\) | 123.498 | − | 89.7269i | 0.161225 | − | 0.117137i | ||||
\(767\) | −778.169 | + | 396.497i | −1.01456 | + | 0.516945i | ||||
\(768\) | 277.677 | − | 277.677i | 0.361559 | − | 0.361559i | ||||
\(769\) | 646.102 | + | 209.931i | 0.840184 | + | 0.272992i | 0.697329 | − | 0.716751i | \(-0.254372\pi\) |
0.142855 | + | 0.989744i | \(0.454372\pi\) | |||||||
\(770\) | −7.56070 | − | 8.18593i | −0.00981909 | − | 0.0106311i | ||||
\(771\) | 251.364 | + | 773.619i | 0.326024 | + | 1.00340i | ||||
\(772\) | −83.4946 | + | 163.867i | −0.108154 | + | 0.212264i | ||||
\(773\) | −625.102 | + | 99.0065i | −0.808670 | + | 0.128081i | −0.547061 | − | 0.837093i | \(-0.684253\pi\) |
−0.261610 | + | 0.965174i | \(0.584253\pi\) | |||||||
\(774\) | − | 26.3620i | − | 0.0340594i | ||||||
\(775\) | 435.678 | + | 712.287i | 0.562165 | + | 0.919080i | ||||
\(776\) | 237.700 | 0.306315 | ||||||||
\(777\) | 42.9981 | + | 271.479i | 0.0553386 | + | 0.349394i | ||||
\(778\) | −5.51370 | − | 2.80937i | −0.00708702 | − | 0.00361102i | ||||
\(779\) | −950.140 | + | 308.719i | −1.21969 | + | 0.396302i | ||||
\(780\) | 478.281 | − | 56.4072i | 0.613181 | − | 0.0723169i | ||||
\(781\) | 66.9962 | − | 206.193i | 0.0857826 | − | 0.264012i | ||||
\(782\) | −7.51924 | − | 7.51924i | −0.00961539 | − | 0.00961539i | ||||
\(783\) | −110.438 | − | 216.746i | −0.141044 | − | 0.276815i | ||||
\(784\) | −328.112 | − | 451.608i | −0.418510 | − | 0.576030i | ||||
\(785\) | −167.473 | + | 453.376i | −0.213341 | + | 0.577549i | ||||
\(786\) | −5.83750 | − | 4.24120i | −0.00742685 | − | 0.00539592i | ||||
\(787\) | 164.241 | + | 26.0132i | 0.208693 | + | 0.0330537i | 0.259905 | − | 0.965634i | \(-0.416309\pi\) |
−0.0512127 | + | 0.998688i | \(0.516309\pi\) | |||||||
\(788\) | 80.0854 | − | 505.639i | 0.101631 | − | 0.641674i | ||||
\(789\) | −304.839 | + | 419.575i | −0.386361 | + | 0.531781i | ||||
\(790\) | 11.5422 | − | 14.6288i | 0.0146104 | − | 0.0185174i | ||||
\(791\) | 519.484 | − | 377.428i | 0.656744 | − | 0.477152i | ||||
\(792\) | 13.2154 | − | 6.73357i | 0.0166861 | − | 0.00850198i | ||||
\(793\) | 476.808 | − | 476.808i | 0.601272 | − | 0.601272i | ||||
\(794\) | −14.9268 | − | 4.85001i | −0.0187995 | − | 0.00610833i | ||||
\(795\) | 353.328 | − | 630.300i | 0.444438 | − | 0.792830i | ||||
\(796\) | 35.7277 | + | 109.958i | 0.0448840 | + | 0.138139i | ||||
\(797\) | −216.996 | + | 425.878i | −0.272266 | + | 0.534352i | −0.986139 | − | 0.165924i | \(-0.946939\pi\) |
0.713873 | + | 0.700275i | \(0.246939\pi\) | |||||||
\(798\) | 27.1570 | − | 4.30125i | 0.0340313 | − | 0.00539003i | ||||
\(799\) | − | 11.5727i | − | 0.0144840i | ||||||
\(800\) | −254.143 | + | 19.7895i | −0.317679 | + | 0.0247368i | ||||
\(801\) | 184.234 | 0.230006 | ||||||||
\(802\) | −0.626486 | − | 3.95548i | −0.000781155 | − | 0.00493202i | ||||
\(803\) | 198.243 | + | 101.010i | 0.246878 | + | 0.125791i | ||||
\(804\) | 158.511 | − | 51.5034i | 0.197153 | − | 0.0640589i | ||||
\(805\) | −89.8897 | + | 450.929i | −0.111664 | + | 0.560160i | ||||
\(806\) | −31.3234 | + | 96.4035i | −0.0388628 | + | 0.119607i | ||||
\(807\) | −204.006 | − | 204.006i | −0.252796 | − | 0.252796i | ||||
\(808\) | 91.2418 | + | 179.072i | 0.112923 | + | 0.221624i | ||||
\(809\) | 221.907 | + | 305.428i | 0.274297 | + | 0.377538i | 0.923835 | − | 0.382792i | \(-0.125037\pi\) |
−0.649537 | + | 0.760330i | \(0.725037\pi\) | |||||||
\(810\) | 2.63166 | + | 9.34599i | 0.00324896 | + | 0.0115383i | ||||
\(811\) | −750.736 | − | 545.442i | −0.925692 | − | 0.672555i | 0.0192421 | − | 0.999815i | \(-0.493875\pi\) |
−0.944934 | + | 0.327260i | \(0.893875\pi\) | |||||||
\(812\) | −655.401 | − | 103.805i | −0.807145 | − | 0.127839i | ||||
\(813\) | −100.910 | + | 637.123i | −0.124121 | + | 0.783669i | ||||
\(814\) | 16.1724 | − | 22.2594i | 0.0198678 | − | 0.0273456i | ||||
\(815\) | 545.335 | − | 153.556i | 0.669123 | − | 0.188413i | ||||
\(816\) | 41.5809 | − | 30.2103i | 0.0509570 | − | 0.0370224i | ||||
\(817\) | 744.650 | − | 379.418i | 0.911445 | − | 0.464404i | ||||
\(818\) | −18.5606 | + | 18.5606i | −0.0226902 | + | 0.0226902i | ||||
\(819\) | −143.889 | − | 46.7522i | −0.175688 | − | 0.0570846i | ||||
\(820\) | −943.775 | − | 188.135i | −1.15095 | − | 0.229433i | ||||
\(821\) | 293.820 | + | 904.285i | 0.357881 | + | 1.10144i | 0.954320 | + | 0.298785i | \(0.0965814\pi\) |
−0.596440 | + | 0.802658i | \(0.703419\pi\) | |||||||
\(822\) | −12.3635 | + | 24.2648i | −0.0150408 | + | 0.0295192i | ||||
\(823\) | −834.683 | + | 132.201i | −1.01420 | + | 0.160633i | −0.641340 | − | 0.767257i | \(-0.721621\pi\) |
−0.372855 | + | 0.927889i | \(0.621621\pi\) | |||||||
\(824\) | − | 302.704i | − | 0.367359i | ||||||
\(825\) | 121.279 | + | 29.2229i | 0.147005 | + | 0.0354217i | ||||
\(826\) | −48.0310 | −0.0581489 | ||||||||
\(827\) | −125.235 | − | 790.702i | −0.151433 | − | 0.956109i | −0.940004 | − | 0.341165i | \(-0.889179\pi\) |
0.788571 | − | 0.614944i | \(-0.210821\pi\) | |||||||
\(828\) | −271.054 | − | 138.109i | −0.327359 | − | 0.166798i | ||||
\(829\) | 817.552 | − | 265.639i | 0.986190 | − | 0.320433i | 0.228856 | − | 0.973460i | \(-0.426501\pi\) |
0.757334 | + | 0.653028i | \(0.226501\pi\) | |||||||
\(830\) | 2.43645 | + | 1.36580i | 0.00293548 | + | 0.00164555i | ||||
\(831\) | −163.254 | + | 502.445i | −0.196455 | + | 0.604627i | ||||
\(832\) | 592.540 | + | 592.540i | 0.712188 | + | 0.712188i | ||||
\(833\) | −31.5308 | − | 61.8826i | −0.0378520 | − | 0.0742888i | ||||
\(834\) | 50.1382 | + | 69.0093i | 0.0601177 | + | 0.0827449i | ||||
\(835\) | 1095.43 | + | 864.301i | 1.31189 | + | 1.03509i | ||||
\(836\) | 189.091 | + | 137.382i | 0.226185 | + | 0.164333i | ||||
\(837\) | 171.408 | + | 27.1483i | 0.204788 | + | 0.0324353i | ||||
\(838\) | −5.42645 | + | 34.2613i | −0.00647548 | + | 0.0408846i | ||||
\(839\) | 510.533 | − | 702.688i | 0.608501 | − | 0.837530i | −0.387952 | − | 0.921680i | \(-0.626817\pi\) |
0.996453 | + | 0.0841493i | \(0.0268173\pi\) | |||||||
\(840\) | 49.9822 | + | 18.4630i | 0.0595026 | + | 0.0219797i | ||||
\(841\) | 1092.73 | − | 793.912i | 1.29932 | − | 0.944009i | ||||
\(842\) | −68.6328 | + | 34.9702i | −0.0815117 | + | 0.0415323i | ||||
\(843\) | 498.098 | − | 498.098i | 0.590864 | − | 0.590864i | ||||
\(844\) | 445.951 | + | 144.898i | 0.528378 | + | 0.171680i | ||||
\(845\) | 16.8997 | + | 143.294i | 0.0199996 | + | 0.169578i | ||||
\(846\) | 1.20473 | + | 3.70779i | 0.00142403 | + | 0.00438273i | ||||
\(847\) | 183.440 | − | 360.021i | 0.216576 | − | 0.425054i | ||||
\(848\) | 1272.68 | − | 201.573i | 1.50080 | − | 0.237704i | ||||
\(849\) | − | 270.625i | − | 0.318758i | ||||||
\(850\) | −10.3319 | − | 0.821763i | −0.0121552 | − | 0.000966780i | ||||
\(851\) | −1135.30 | −1.33408 | ||||||||
\(852\) | 80.6114 | + | 508.960i | 0.0946143 | + | 0.597371i | ||||
\(853\) | 522.550 | + | 266.253i | 0.612603 | + | 0.312137i | 0.732623 | − | 0.680635i | \(-0.238296\pi\) |
−0.120020 | + | 0.992771i | \(0.538296\pi\) | |||||||
\(854\) | 35.2690 | − | 11.4596i | 0.0412986 | − | 0.0134187i | ||||
\(855\) | −226.121 | + | 208.850i | −0.264469 | + | 0.244270i | ||||
\(856\) | 90.3349 | − | 278.022i | 0.105531 | − | 0.324792i | ||||
\(857\) | −800.024 | − | 800.024i | −0.933517 | − | 0.933517i | 0.0644063 | − | 0.997924i | \(-0.479485\pi\) |
−0.997924 | + | 0.0644063i | \(0.979485\pi\) | |||||||
\(858\) | 6.87552 | + | 13.4940i | 0.00801343 | + | 0.0157272i | ||||
\(859\) | −111.410 | − | 153.343i | −0.129698 | − | 0.178514i | 0.739229 | − | 0.673454i | \(-0.235190\pi\) |
−0.868927 | + | 0.494940i | \(0.835190\pi\) | |||||||
\(860\) | 804.412 | + | 31.9394i | 0.935362 | + | 0.0371389i | ||||
\(861\) | 244.583 | + | 177.700i | 0.284068 | + | 0.206388i | ||||
\(862\) | −30.4065 | − | 4.81591i | −0.0352743 | − | 0.00558690i | ||||
\(863\) | 169.246 | − | 1068.58i | 0.196113 | − | 1.23821i | −0.671513 | − | 0.740993i | \(-0.734355\pi\) |
0.867626 | − | 0.497217i | \(-0.165645\pi\) | |||||||
\(864\) | −31.1423 | + | 42.8637i | −0.0360444 | + | 0.0496108i | ||||
\(865\) | 218.919 | + | 327.930i | 0.253085 | + | 0.379109i | ||||
\(866\) | −8.98005 | + | 6.52439i | −0.0103696 | + | 0.00753394i | ||||
\(867\) | −440.307 | + | 224.348i | −0.507851 | + | 0.258763i | ||||
\(868\) | 334.744 | − | 334.744i | 0.385649 | − | 0.385649i | ||||
\(869\) | −47.3260 | − | 15.3772i | −0.0544603 | − | 0.0176952i | ||||
\(870\) | −79.4582 | + | 36.5908i | −0.0913312 | + | 0.0420584i | ||||
\(871\) | 105.798 | + | 325.611i | 0.121467 | + | 0.373836i | ||||
\(872\) | −161.670 | + | 317.295i | −0.185401 | + | 0.363871i | ||||
\(873\) | 410.425 | − | 65.0049i | 0.470132 | − | 0.0744615i | ||||
\(874\) | 113.568i | 0.129940i | ||||||||
\(875\) | 218.494 | + | 391.290i | 0.249707 | + | 0.447188i | ||||
\(876\) | −528.827 | −0.603684 | ||||||||
\(877\) | −143.299 | − | 904.757i | −0.163397 | − | 1.03165i | −0.923989 | − | 0.382419i | \(-0.875091\pi\) |
0.760592 | − | 0.649231i | \(-0.224909\pi\) | |||||||
\(878\) | 24.2763 | + | 12.3694i | 0.0276495 | + | 0.0140881i | ||||
\(879\) | 56.6074 | − | 18.3929i | 0.0643998 | − | 0.0209248i | ||||
\(880\) | 93.0522 | + | 202.066i | 0.105741 | + | 0.229621i | ||||
\(881\) | 79.6614 | − | 245.173i | 0.0904215 | − | 0.278289i | −0.895612 | − | 0.444836i | \(-0.853262\pi\) |
0.986033 | + | 0.166547i | \(0.0532619\pi\) | |||||||
\(882\) | 16.5442 | + | 16.5442i | 0.0187576 | + | 0.0187576i | ||||
\(883\) | −571.257 | − | 1121.16i | −0.646951 | − | 1.26971i | −0.948656 | − | 0.316311i | \(-0.897556\pi\) |
0.301705 | − | 0.953401i | \(-0.402444\pi\) | |||||||
\(884\) | 62.8059 | + | 86.4449i | 0.0710474 | + | 0.0977884i | ||||
\(885\) | 447.213 | − | 298.550i | 0.505325 | − | 0.337345i | ||||
\(886\) | 67.1961 | + | 48.8208i | 0.0758421 | + | 0.0551025i | ||||
\(887\) | 1239.37 | + | 196.298i | 1.39727 | + | 0.221305i | 0.809212 | − | 0.587517i | \(-0.199894\pi\) |
0.588053 | + | 0.808822i | \(0.299894\pi\) | |||||||
\(888\) | −20.5808 | + | 129.942i | −0.0231766 | + | 0.146331i | ||||
\(889\) | −231.322 | + | 318.387i | −0.260205 | + | 0.358141i | ||||
\(890\) | 2.62850 | − | 66.2002i | 0.00295337 | − | 0.0743822i | ||||
\(891\) | 20.9769 | − | 15.2406i | 0.0235430 | − | 0.0171050i | ||||
\(892\) | −261.220 | + | 133.098i | −0.292847 | + | 0.149213i | ||||
\(893\) | −87.3951 | + | 87.3951i | −0.0978669 | + | 0.0978669i | ||||
\(894\) | −37.1937 | − | 12.0850i | −0.0416037 | − | 0.0135179i | ||||
\(895\) | 965.313 | + | 1045.14i | 1.07856 | + | 1.16775i | ||||
\(896\) | 59.4283 | + | 182.902i | 0.0663263 | + | 0.204131i | ||||
\(897\) | 283.701 | − | 556.794i | 0.316277 | − | 0.620730i | ||||
\(898\) | 71.4688 | − | 11.3195i | 0.0795866 | − | 0.0126053i | ||||
\(899\) | 1563.57i | 1.73923i | ||||||||
\(900\) | −288.373 | + | 68.9794i | −0.320415 | + | 0.0766438i | ||||
\(901\) | 160.319 | 0.177934 | ||||||||
\(902\) | −4.73412 | − | 29.8900i | −0.00524847 | − | 0.0331375i | ||||
\(903\) | −225.340 | − | 114.817i | −0.249546 | − | 0.127150i | ||||
\(904\) | 292.305 | − | 94.9755i | 0.323346 | − | 0.105061i | ||||
\(905\) | 303.251 | − | 35.7647i | 0.335084 | − | 0.0395190i | ||||
\(906\) | 0.157105 | − | 0.483521i | 0.000173405 | − | 0.000533687i | ||||
\(907\) | −997.333 | − | 997.333i | −1.09959 | − | 1.09959i | −0.994458 | − | 0.105137i | \(-0.966472\pi\) |
−0.105137 | − | 0.994458i | \(-0.533528\pi\) | |||||||
\(908\) | −202.652 | − | 397.727i | −0.223185 | − | 0.438026i | ||||
\(909\) | 206.514 | + | 284.243i | 0.227188 | + | 0.312698i | ||||
\(910\) | −18.8522 | + | 51.0359i | −0.0207167 | + | 0.0560834i | ||||
\(911\) | 645.932 | + | 469.297i | 0.709036 | + | 0.515145i | 0.882863 | − | 0.469631i | \(-0.155613\pi\) |
−0.173827 | + | 0.984776i | \(0.555613\pi\) | |||||||
\(912\) | −542.155 | − | 85.8689i | −0.594468 | − | 0.0941545i | ||||
\(913\) | 1.16685 | − | 7.36721i | 0.00127804 | − | 0.00806924i | ||||
\(914\) | 24.6947 | − | 33.9894i | 0.0270183 | − | 0.0371875i | ||||
\(915\) | −257.157 | + | 325.924i | −0.281046 | + | 0.356201i | ||||
\(916\) | −914.451 | + | 664.388i | −0.998309 | + | 0.725314i | ||||
\(917\) | −61.6781 | + | 31.4266i | −0.0672607 | + | 0.0342711i | ||||
\(918\) | −1.52328 | + | 1.52328i | −0.00165934 | + | 0.00165934i | ||||
\(919\) | −1054.35 | − | 342.578i | −1.14728 | − | 0.372773i | −0.327160 | − | 0.944969i | \(-0.606092\pi\) |
−0.820117 | + | 0.572196i | \(0.806092\pi\) | |||||||
\(920\) | −107.616 | + | 191.976i | −0.116974 | + | 0.208669i | ||||
\(921\) | −92.8011 | − | 285.612i | −0.100761 | − | 0.310111i | ||||
\(922\) | 56.5271 | − | 110.941i | 0.0613092 | − | 0.120326i | ||||
\(923\) | −1045.50 | + | 165.591i | −1.13272 | + | 0.179405i | ||||
\(924\) | − | 70.7293i | − | 0.0765469i | ||||||
\(925\) | −842.027 | + | 717.952i | −0.910299 | + | 0.776164i | ||||
\(926\) | 98.3288 | 0.106187 | ||||||||
\(927\) | −82.7817 | − | 522.663i | −0.0893006 | − | 0.563822i | ||||
\(928\) | −425.324 | − | 216.714i | −0.458324 | − | 0.233528i | ||||
\(929\) | −194.991 | + | 63.3563i | −0.209893 | + | 0.0681984i | −0.412076 | − | 0.911149i | \(-0.635196\pi\) |
0.202183 | + | 0.979348i | \(0.435196\pi\) | |||||||
\(930\) | 12.2006 | − | 61.2039i | 0.0131189 | − | 0.0658107i | ||||
\(931\) | −229.212 | + | 705.441i | −0.246199 | + | 0.757724i | ||||
\(932\) | 672.223 | + | 672.223i | 0.721269 | + | 0.721269i | ||||
\(933\) | −466.761 | − | 916.070i | −0.500280 | − | 0.981854i | ||||
\(934\) | −99.8493 | − | 137.431i | −0.106905 | − | 0.147142i | ||||
\(935\) | 7.50198 | + | 26.6423i | 0.00802351 | + | 0.0284944i | ||||
\(936\) | −58.5858 | − | 42.5650i | −0.0625916 | − | 0.0454755i | ||||
\(937\) | −1164.19 | − | 184.389i | −1.24246 | − | 0.196787i | −0.499615 | − | 0.866248i | \(-0.666525\pi\) |
−0.742847 | + | 0.669461i | \(0.766525\pi\) | |||||||
\(938\) | −2.94547 | + | 18.5969i | −0.00314016 | + | 0.0198262i | ||||
\(939\) | −109.991 | + | 151.390i | −0.117137 | + | 0.161225i | ||||
\(940\) | −114.599 | + | 32.2691i | −0.121914 | + | 0.0343288i | ||||
\(941\) | −910.135 | + | 661.252i | −0.967200 | + | 0.702712i | −0.954812 | − | 0.297211i | \(-0.903943\pi\) |
−0.0123882 | + | 0.999923i | \(0.503943\pi\) | |||||||
\(942\) | 32.1874 | − | 16.4003i | 0.0341693 | − | 0.0174101i | ||||
\(943\) | −882.972 | + | 882.972i | −0.936343 | + | 0.936343i | ||||
\(944\) | 911.946 | + | 296.309i | 0.966045 | + | 0.313887i | ||||
\(945\) | 91.3509 | + | 18.2102i | 0.0966676 | + | 0.0192700i | ||||
\(946\) | 7.82310 | + | 24.0770i | 0.00826966 | + | 0.0254514i | ||||
\(947\) | 197.207 | − | 387.040i | 0.208244 | − | 0.408702i | −0.763134 | − | 0.646240i | \(-0.776341\pi\) |
0.971378 | + | 0.237538i | \(0.0763405\pi\) | |||||||
\(948\) | 116.818 | − | 18.5022i | 0.123226 | − | 0.0195170i | ||||
\(949\) | − | 1086.31i | − | 1.14469i | ||||||
\(950\) | 71.8193 | + | 84.2309i | 0.0755992 | + | 0.0886641i | ||||
\(951\) | −462.782 | −0.486626 | ||||||||
\(952\) | 1.84936 | + | 11.6764i | 0.00194261 | + | 0.0122651i | ||||
\(953\) | −256.133 | − | 130.506i | −0.268765 | − | 0.136942i | 0.314415 | − | 0.949286i | \(-0.398192\pi\) |
−0.583180 | + | 0.812343i | \(0.698192\pi\) | |||||||
\(954\) | −51.3645 | + | 16.6893i | −0.0538412 | + | 0.0174941i | ||||
\(955\) | 65.9145 | + | 36.9498i | 0.0690204 | + | 0.0386909i | ||||
\(956\) | 117.020 | − | 360.152i | 0.122406 | − | 0.376728i | ||||
\(957\) | 165.187 | + | 165.187i | 0.172609 | + | 0.172609i | ||||
\(958\) | 84.8500 | + | 166.528i | 0.0885700 | + | 0.173828i | ||||
\(959\) | 153.566 | + | 211.366i | 0.160131 | + | 0.220402i | ||||
\(960\) | −405.033 | − | 319.575i | −0.421909 | − | 0.332890i | ||||
\(961\) | −124.968 | − | 90.7947i | −0.130040 | − | 0.0944794i | ||||
\(962\) | −132.682 | − | 21.0147i | −0.137923 | − | 0.0218448i | ||||
\(963\) | 79.9447 | − | 504.751i | 0.0830163 | − | 0.524144i | ||||
\(964\) | 662.416 | − | 911.738i | 0.687154 | − | 0.945786i | ||||
\(965\) | 218.188 | + | 80.5966i | 0.226102 | + | 0.0835198i | ||||
\(966\) | 27.8035 | − | 20.2004i | 0.0287821 | − | 0.0209114i | ||||
\(967\) | −1528.59 | + | 778.855i | −1.58075 | + | 0.805435i | −0.999963 | − | 0.00861751i | \(-0.997257\pi\) |
−0.580792 | + | 0.814052i | \(0.697257\pi\) | |||||||
\(968\) | 136.756 | − | 136.756i | 0.141277 | − | 0.141277i | ||||
\(969\) | −64.9522 | − | 21.1042i | −0.0670301 | − | 0.0217794i | ||||
\(970\) | −17.5023 | − | 148.404i | −0.0180437 | − | 0.152993i | ||||
\(971\) | 131.434 | + | 404.512i | 0.135359 | + | 0.416594i | 0.995646 | − | 0.0932176i | \(-0.0297152\pi\) |
−0.860286 | + | 0.509811i | \(0.829715\pi\) | |||||||
\(972\) | −27.9786 | + | 54.9111i | −0.0287845 | + | 0.0564929i | ||||
\(973\) | 808.258 | − | 128.016i | 0.830687 | − | 0.131568i | ||||
\(974\) | − | 136.368i | − | 0.140008i | ||||||
\(975\) | −141.697 | − | 592.372i | −0.145330 | − | 0.607561i | ||||
\(976\) | −740.336 | −0.758541 | ||||||||
\(977\) | −18.9491 | − | 119.640i | −0.0193952 | − | 0.122457i | 0.976091 | − | 0.217362i | \(-0.0697452\pi\) |
−0.995486 | + | 0.0949053i | \(0.969745\pi\) | |||||||
\(978\) | −37.7299 | − | 19.2243i | −0.0385786 | − | 0.0196568i | ||||
\(979\) | −168.266 | + | 54.6729i | −0.171875 | + | 0.0558457i | ||||
\(980\) | −524.876 | + | 484.787i | −0.535588 | + | 0.494680i | ||||
\(981\) | −192.375 | + | 592.071i | −0.196101 | + | 0.603538i | ||||
\(982\) | −127.647 | − | 127.647i | −0.129987 | − | 0.129987i | ||||
\(983\) | 476.265 | + | 934.723i | 0.484502 | + | 0.950888i | 0.995806 | + | 0.0914884i | \(0.0291624\pi\) |
−0.511304 | + | 0.859400i | \(0.670838\pi\) | |||||||
\(984\) | 85.0552 | + | 117.068i | 0.0864382 | + | 0.118972i | ||||
\(985\) | −646.954 | − | 25.6875i | −0.656806 | − | 0.0260787i | ||||
\(986\) | −15.7021 | − | 11.4083i | −0.0159251 | − | 0.0115702i | ||||
\(987\) | 36.9410 | + | 5.85088i | 0.0374276 | + | 0.00592795i | ||||
\(988\) | 178.518 | − | 1127.12i | 0.180686 | − | 1.14081i | ||||
\(989\) | 614.003 | − | 845.103i | 0.620832 | − | 0.854502i | ||||
\(990\) | −5.17705 | − | 7.75496i | −0.00522935 | − | 0.00783330i | ||||
\(991\) | 243.062 | − | 176.595i | 0.245269 | − | 0.178199i | −0.458358 | − | 0.888768i | \(-0.651562\pi\) |
0.703628 | + | 0.710569i | \(0.251562\pi\) | |||||||
\(992\) | 303.431 | − | 154.606i | 0.305878 | − | 0.155853i | ||||
\(993\) | −706.756 | + | 706.756i | −0.711739 | + | 0.711739i | ||||
\(994\) | −55.3654 | − | 17.9893i | −0.0556996 | − | 0.0180979i | ||||
\(995\) | 132.817 | − | 61.1628i | 0.133485 | − | 0.0614701i | ||||
\(996\) | 5.47850 | + | 16.8611i | 0.00550050 | + | 0.0169288i | ||||
\(997\) | −316.377 | + | 620.925i | −0.317329 | + | 0.622793i | −0.993485 | − | 0.113965i | \(-0.963645\pi\) |
0.676156 | + | 0.736759i | \(0.263645\pi\) | |||||||
\(998\) | 39.2802 | − | 6.22137i | 0.0393589 | − | 0.00623384i | ||||
\(999\) | 229.993i | 0.230223i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 75.3.k.a.37.5 | ✓ | 80 | |
3.2 | odd | 2 | 225.3.r.b.37.6 | 80 | |||
5.2 | odd | 4 | 375.3.k.b.43.6 | 80 | |||
5.3 | odd | 4 | 375.3.k.c.43.5 | 80 | |||
5.4 | even | 2 | 375.3.k.a.82.6 | 80 | |||
25.2 | odd | 20 | 375.3.k.a.343.6 | 80 | |||
25.11 | even | 5 | 375.3.k.c.157.5 | 80 | |||
25.14 | even | 10 | 375.3.k.b.157.6 | 80 | |||
25.23 | odd | 20 | inner | 75.3.k.a.73.5 | yes | 80 | |
75.23 | even | 20 | 225.3.r.b.73.6 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.k.a.37.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
75.3.k.a.73.5 | yes | 80 | 25.23 | odd | 20 | inner | |
225.3.r.b.37.6 | 80 | 3.2 | odd | 2 | |||
225.3.r.b.73.6 | 80 | 75.23 | even | 20 | |||
375.3.k.a.82.6 | 80 | 5.4 | even | 2 | |||
375.3.k.a.343.6 | 80 | 25.2 | odd | 20 | |||
375.3.k.b.43.6 | 80 | 5.2 | odd | 4 | |||
375.3.k.b.157.6 | 80 | 25.14 | even | 10 | |||
375.3.k.c.43.5 | 80 | 5.3 | odd | 4 | |||
375.3.k.c.157.5 | 80 | 25.11 | even | 5 |