Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(301,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 825.n (of order \(5\), degree \(4\), 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: | \(6.58765816676\) |
Analytic rank: | \(1\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 751.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 825.751 |
Dual form | 825.2.n.c.301.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.224514i | −0.218508 | + | 0.158755i | −0.691655 | − | 0.722228i | \(-0.743118\pi\) |
0.473147 | + | 0.880984i | \(0.343118\pi\) | |||||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | −0.572949 | + | 1.76336i | −0.286475 | + | 0.881678i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.309017 | − | 0.224514i | −0.126156 | − | 0.0916575i | ||||
\(7\) | 0.309017 | − | 0.951057i | 0.116797 | − | 0.359466i | −0.875520 | − | 0.483181i | \(-0.839481\pi\) |
0.992318 | + | 0.123716i | \(0.0394811\pi\) | |||||||
\(8\) | −0.454915 | − | 1.40008i | −0.160837 | − | 0.495005i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.19098 | − | 2.48990i | −0.660606 | − | 0.750733i | ||||
\(12\) | −1.85410 | −0.535233 | ||||||||
\(13\) | −3.42705 | + | 2.48990i | −0.950493 | + | 0.690574i | −0.950923 | − | 0.309426i | \(-0.899863\pi\) |
0.000430477 | 1.00000i | \(0.499863\pi\) | ||||||||
\(14\) | 0.118034 | + | 0.363271i | 0.0315459 | + | 0.0970883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.54508 | − | 1.84911i | −0.636271 | − | 0.462278i | ||||
\(17\) | −6.35410 | − | 4.61653i | −1.54110 | − | 1.11967i | −0.949644 | − | 0.313332i | \(-0.898555\pi\) |
−0.591452 | − | 0.806340i | \(-0.701445\pi\) | |||||||
\(18\) | 0.118034 | − | 0.363271i | 0.0278209 | − | 0.0856239i | ||||
\(19\) | −0.263932 | − | 0.812299i | −0.0605502 | − | 0.186354i | 0.916206 | − | 0.400707i | \(-0.131236\pi\) |
−0.976756 | + | 0.214353i | \(0.931236\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 1.23607 | + | 0.277515i | 0.263531 | + | 0.0591663i | ||||
\(23\) | 4.23607 | 0.883281 | 0.441641 | − | 0.897192i | \(-0.354397\pi\) | ||||
0.441641 | + | 0.897192i | \(0.354397\pi\) | |||||||
\(24\) | 1.19098 | − | 0.865300i | 0.243108 | − | 0.176629i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.500000 | − | 1.53884i | 0.0980581 | − | 0.301792i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 1.50000 | + | 1.08981i | 0.283473 | + | 0.205955i | ||||
\(29\) | −1.85410 | + | 5.70634i | −0.344298 | + | 1.05964i | 0.617660 | + | 0.786445i | \(0.288081\pi\) |
−0.961958 | + | 0.273196i | \(0.911919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.11803 | + | 2.99193i | −0.739621 | + | 0.537366i | −0.892592 | − | 0.450865i | \(-0.851116\pi\) |
0.152972 | + | 0.988231i | \(0.451116\pi\) | |||||||
\(32\) | 4.14590 | 0.732898 | ||||||||
\(33\) | 1.69098 | − | 2.85317i | 0.294362 | − | 0.496673i | ||||
\(34\) | 3.00000 | 0.514496 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.572949 | − | 1.76336i | −0.0954915 | − | 0.293893i | ||||
\(37\) | 0.545085 | − | 1.67760i | 0.0896114 | − | 0.275796i | −0.896201 | − | 0.443649i | \(-0.853684\pi\) |
0.985812 | + | 0.167854i | \(0.0536836\pi\) | |||||||
\(38\) | 0.263932 | + | 0.191758i | 0.0428154 | + | 0.0311072i | ||||
\(39\) | −3.42705 | − | 2.48990i | −0.548767 | − | 0.398703i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.30902 | − | 4.02874i | −0.204434 | − | 0.629183i | −0.999736 | − | 0.0229701i | \(-0.992688\pi\) |
0.795302 | − | 0.606213i | \(-0.207312\pi\) | |||||||
\(42\) | −0.309017 | + | 0.224514i | −0.0476824 | + | 0.0346433i | ||||
\(43\) | −6.70820 | −1.02299 | −0.511496 | − | 0.859286i | \(-0.670908\pi\) | ||||
−0.511496 | + | 0.859286i | \(0.670908\pi\) | |||||||
\(44\) | 5.64590 | − | 2.43690i | 0.851151 | − | 0.367376i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.30902 | + | 0.951057i | −0.193004 | + | 0.140226i | ||||
\(47\) | −0.336881 | − | 1.03681i | −0.0491391 | − | 0.151235i | 0.923476 | − | 0.383656i | \(-0.125335\pi\) |
−0.972615 | + | 0.232421i | \(0.925335\pi\) | |||||||
\(48\) | 0.972136 | − | 2.99193i | 0.140316 | − | 0.431847i | ||||
\(49\) | 4.85410 | + | 3.52671i | 0.693443 | + | 0.503816i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.42705 | − | 7.46969i | 0.339855 | − | 1.04597i | ||||
\(52\) | −2.42705 | − | 7.46969i | −0.336571 | − | 1.03586i | ||||
\(53\) | −2.11803 | + | 1.53884i | −0.290934 | + | 0.211376i | −0.723673 | − | 0.690143i | \(-0.757547\pi\) |
0.432738 | + | 0.901520i | \(0.357547\pi\) | |||||||
\(54\) | 0.381966 | 0.0519790 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.47214 | −0.196722 | ||||||||
\(57\) | 0.690983 | − | 0.502029i | 0.0915229 | − | 0.0664953i | ||||
\(58\) | −0.708204 | − | 2.17963i | −0.0929917 | − | 0.286199i | ||||
\(59\) | 2.97214 | − | 9.14729i | 0.386939 | − | 1.19088i | −0.548125 | − | 0.836397i | \(-0.684658\pi\) |
0.935064 | − | 0.354480i | \(-0.115342\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.92705 | − | 5.03280i | −0.886918 | − | 0.644384i | 0.0481546 | − | 0.998840i | \(-0.484666\pi\) |
−0.935073 | + | 0.354456i | \(0.884666\pi\) | |||||||
\(62\) | 0.600813 | − | 1.84911i | 0.0763033 | − | 0.234838i | ||||
\(63\) | 0.309017 | + | 0.951057i | 0.0389325 | + | 0.119822i | ||||
\(64\) | 3.80902 | − | 2.76741i | 0.476127 | − | 0.345927i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.118034 | + | 1.26133i | 0.0145290 | + | 0.155259i | ||||
\(67\) | 4.85410 | 0.593023 | 0.296511 | − | 0.955029i | \(-0.404177\pi\) | ||||
0.296511 | + | 0.955029i | \(0.404177\pi\) | |||||||
\(68\) | 11.7812 | − | 8.55951i | 1.42867 | − | 1.03799i | ||||
\(69\) | 1.30902 | + | 4.02874i | 0.157587 | + | 0.485003i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.30902 | + | 3.13068i | 0.511386 | + | 0.371544i | 0.813349 | − | 0.581776i | \(-0.197642\pi\) |
−0.301963 | + | 0.953320i | \(0.597642\pi\) | |||||||
\(72\) | 1.19098 | + | 0.865300i | 0.140359 | + | 0.101977i | ||||
\(73\) | −2.38197 | + | 7.33094i | −0.278788 | + | 0.858021i | 0.709404 | + | 0.704802i | \(0.248964\pi\) |
−0.988192 | + | 0.153219i | \(0.951036\pi\) | |||||||
\(74\) | 0.208204 | + | 0.640786i | 0.0242032 | + | 0.0744898i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.58359 | 0.181650 | ||||||||
\(77\) | −3.04508 | + | 1.31433i | −0.347020 | + | 0.149782i | ||||
\(78\) | 1.61803 | 0.183206 | ||||||||
\(79\) | −8.89919 | + | 6.46564i | −1.00124 | + | 0.727441i | −0.962353 | − | 0.271803i | \(-0.912380\pi\) |
−0.0388837 | + | 0.999244i | \(0.512380\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 1.30902 | + | 0.951057i | 0.144557 | + | 0.105027i | ||||
\(83\) | −6.04508 | − | 4.39201i | −0.663534 | − | 0.482086i | 0.204320 | − | 0.978904i | \(-0.434502\pi\) |
−0.867855 | + | 0.496818i | \(0.834502\pi\) | |||||||
\(84\) | −0.572949 | + | 1.76336i | −0.0625139 | + | 0.192398i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.07295 | − | 1.50609i | 0.223532 | − | 0.162405i | ||||
\(87\) | −6.00000 | −0.643268 | ||||||||
\(88\) | −2.48936 | + | 4.20025i | −0.265366 | + | 0.447749i | ||||
\(89\) | −3.76393 | −0.398976 | −0.199488 | − | 0.979900i | \(-0.563928\pi\) | ||||
−0.199488 | + | 0.979900i | \(0.563928\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.30902 | + | 4.02874i | 0.137222 | + | 0.422327i | ||||
\(92\) | −2.42705 | + | 7.46969i | −0.253038 | + | 0.778770i | ||||
\(93\) | −4.11803 | − | 2.99193i | −0.427020 | − | 0.310248i | ||||
\(94\) | 0.336881 | + | 0.244758i | 0.0347466 | + | 0.0252449i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.28115 | + | 3.94298i | 0.130757 | + | 0.402429i | ||||
\(97\) | 0.927051 | − | 0.673542i | 0.0941278 | − | 0.0683878i | −0.539726 | − | 0.841841i | \(-0.681472\pi\) |
0.633854 | + | 0.773453i | \(0.281472\pi\) | |||||||
\(98\) | −2.29180 | −0.231506 | ||||||||
\(99\) | 3.23607 | + | 0.726543i | 0.325237 | + | 0.0730203i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.66312 | − | 3.38795i | 0.463998 | − | 0.337114i | −0.331100 | − | 0.943596i | \(-0.607420\pi\) |
0.795097 | + | 0.606482i | \(0.207420\pi\) | |||||||
\(102\) | 0.927051 | + | 2.85317i | 0.0917917 | + | 0.282506i | ||||
\(103\) | −2.14590 | + | 6.60440i | −0.211442 | + | 0.650750i | 0.787946 | + | 0.615745i | \(0.211145\pi\) |
−0.999387 | + | 0.0350054i | \(0.988855\pi\) | |||||||
\(104\) | 5.04508 | + | 3.66547i | 0.494711 | + | 0.359429i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.309017 | − | 0.951057i | 0.0300144 | − | 0.0923748i | ||||
\(107\) | 0.781153 | + | 2.40414i | 0.0755169 | + | 0.232417i | 0.981689 | − | 0.190493i | \(-0.0610086\pi\) |
−0.906172 | + | 0.422910i | \(0.861009\pi\) | |||||||
\(108\) | 1.50000 | − | 1.08981i | 0.144338 | − | 0.104867i | ||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.76393 | 0.167425 | ||||||||
\(112\) | −2.54508 | + | 1.84911i | −0.240488 | + | 0.174725i | ||||
\(113\) | −1.39919 | − | 4.30625i | −0.131624 | − | 0.405098i | 0.863425 | − | 0.504477i | \(-0.168315\pi\) |
−0.995050 | + | 0.0993784i | \(0.968315\pi\) | |||||||
\(114\) | −0.100813 | + | 0.310271i | −0.00944201 | + | 0.0290595i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −9.00000 | − | 6.53888i | −0.835629 | − | 0.607120i | ||||
\(117\) | 1.30902 | − | 4.02874i | 0.121019 | − | 0.372457i | ||||
\(118\) | 1.13525 | + | 3.49396i | 0.104509 | + | 0.321645i | ||||
\(119\) | −6.35410 | + | 4.61653i | −0.582480 | + | 0.423196i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.39919 | + | 10.9106i | −0.127199 | + | 0.991877i | ||||
\(122\) | 3.27051 | 0.296098 | ||||||||
\(123\) | 3.42705 | − | 2.48990i | 0.309007 | − | 0.224507i | ||||
\(124\) | −2.91641 | − | 8.97578i | −0.261901 | − | 0.806049i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.309017 | − | 0.224514i | −0.0275294 | − | 0.0200013i | ||||
\(127\) | −4.61803 | − | 3.35520i | −0.409784 | − | 0.297726i | 0.363730 | − | 0.931504i | \(-0.381503\pi\) |
−0.773514 | + | 0.633779i | \(0.781503\pi\) | |||||||
\(128\) | −3.11803 | + | 9.59632i | −0.275598 | + | 0.848203i | ||||
\(129\) | −2.07295 | − | 6.37988i | −0.182513 | − | 0.561717i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 12.7984 | 1.11820 | 0.559100 | − | 0.829101i | \(-0.311147\pi\) | ||||
0.559100 | + | 0.829101i | \(0.311147\pi\) | |||||||
\(132\) | 4.06231 | + | 4.61653i | 0.353578 | + | 0.401817i | ||||
\(133\) | −0.854102 | −0.0740600 | ||||||||
\(134\) | −1.50000 | + | 1.08981i | −0.129580 | + | 0.0941456i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.57295 | + | 10.9964i | −0.306378 | + | 0.942934i | ||||
\(137\) | 11.5172 | + | 8.36775i | 0.983983 | + | 0.714905i | 0.958595 | − | 0.284772i | \(-0.0919181\pi\) |
0.0253875 | + | 0.999678i | \(0.491918\pi\) | |||||||
\(138\) | −1.30902 | − | 0.951057i | −0.111431 | − | 0.0809593i | ||||
\(139\) | −1.71885 | + | 5.29007i | −0.145791 | + | 0.448698i | −0.997112 | − | 0.0759473i | \(-0.975802\pi\) |
0.851321 | + | 0.524645i | \(0.175802\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.881966 | − | 0.640786i | 0.0742749 | − | 0.0539639i | ||||
\(142\) | −2.03444 | −0.170727 | ||||||||
\(143\) | 13.7082 | + | 3.07768i | 1.14634 | + | 0.257369i | ||||
\(144\) | 3.14590 | 0.262158 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.909830 | − | 2.80017i | −0.0752981 | − | 0.231744i | ||||
\(147\) | −1.85410 | + | 5.70634i | −0.152924 | + | 0.470651i | ||||
\(148\) | 2.64590 | + | 1.92236i | 0.217491 | + | 0.158017i | ||||
\(149\) | −0.190983 | − | 0.138757i | −0.0156459 | − | 0.0113674i | 0.579935 | − | 0.814663i | \(-0.303078\pi\) |
−0.595581 | + | 0.803295i | \(0.703078\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.85410 | + | 18.0171i | 0.476400 | + | 1.46621i | 0.844060 | + | 0.536248i | \(0.180159\pi\) |
−0.367660 | + | 0.929960i | \(0.619841\pi\) | |||||||
\(152\) | −1.01722 | + | 0.739054i | −0.0825075 | + | 0.0599452i | ||||
\(153\) | 7.85410 | 0.634967 | ||||||||
\(154\) | 0.645898 | − | 1.08981i | 0.0520479 | − | 0.0878197i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.35410 | − | 4.61653i | 0.508735 | − | 0.369618i | ||||
\(157\) | −0.708204 | − | 2.17963i | −0.0565208 | − | 0.173953i | 0.918811 | − | 0.394699i | \(-0.129151\pi\) |
−0.975331 | + | 0.220745i | \(0.929151\pi\) | |||||||
\(158\) | 1.29837 | − | 3.99598i | 0.103293 | − | 0.317903i | ||||
\(159\) | −2.11803 | − | 1.53884i | −0.167971 | − | 0.122038i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.30902 | − | 4.02874i | 0.103165 | − | 0.317509i | ||||
\(162\) | 0.118034 | + | 0.363271i | 0.00927363 | + | 0.0285413i | ||||
\(163\) | −9.59017 | + | 6.96767i | −0.751160 | + | 0.545750i | −0.896186 | − | 0.443678i | \(-0.853673\pi\) |
0.145026 | + | 0.989428i | \(0.453673\pi\) | |||||||
\(164\) | 7.85410 | 0.613302 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.85410 | 0.221521 | ||||||||
\(167\) | −13.7812 | + | 10.0126i | −1.06642 | + | 0.774798i | −0.975265 | − | 0.221039i | \(-0.929055\pi\) |
−0.0911527 | + | 0.995837i | \(0.529055\pi\) | |||||||
\(168\) | −0.454915 | − | 1.40008i | −0.0350975 | − | 0.108019i | ||||
\(169\) | 1.52786 | − | 4.70228i | 0.117528 | − | 0.361714i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.690983 | + | 0.502029i | 0.0528408 | + | 0.0383911i | ||||
\(172\) | 3.84346 | − | 11.8290i | 0.293061 | − | 0.901949i | ||||
\(173\) | −3.40983 | − | 10.4944i | −0.259245 | − | 0.797873i | −0.992964 | − | 0.118420i | \(-0.962217\pi\) |
0.733719 | − | 0.679453i | \(-0.237783\pi\) | |||||||
\(174\) | 1.85410 | − | 1.34708i | 0.140559 | − | 0.102122i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.972136 | + | 10.3884i | 0.0732775 | + | 0.783053i | ||||
\(177\) | 9.61803 | 0.722936 | ||||||||
\(178\) | 1.16312 | − | 0.845055i | 0.0871795 | − | 0.0633396i | ||||
\(179\) | −5.39919 | − | 16.6170i | −0.403554 | − | 1.24201i | −0.922096 | − | 0.386960i | \(-0.873525\pi\) |
0.518542 | − | 0.855052i | \(-0.326475\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.28115 | − | 6.74315i | −0.689863 | − | 0.501215i | 0.186752 | − | 0.982407i | \(-0.440204\pi\) |
−0.876615 | + | 0.481192i | \(0.840204\pi\) | |||||||
\(182\) | −1.30902 | − | 0.951057i | −0.0970308 | − | 0.0704970i | ||||
\(183\) | 2.64590 | − | 8.14324i | 0.195590 | − | 0.601965i | ||||
\(184\) | −1.92705 | − | 5.93085i | −0.142064 | − | 0.437228i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.94427 | 0.142561 | ||||||||
\(187\) | 2.42705 | + | 25.9358i | 0.177484 | + | 1.89661i | ||||
\(188\) | 2.02129 | 0.147417 | ||||||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.16312 | + | 22.0458i | −0.518305 | + | 1.59518i | 0.258882 | + | 0.965909i | \(0.416646\pi\) |
−0.777187 | + | 0.629270i | \(0.783354\pi\) | |||||||
\(192\) | 3.80902 | + | 2.76741i | 0.274892 | + | 0.199721i | ||||
\(193\) | −7.97214 | − | 5.79210i | −0.573847 | − | 0.416924i | 0.262654 | − | 0.964890i | \(-0.415402\pi\) |
−0.836501 | + | 0.547966i | \(0.815402\pi\) | |||||||
\(194\) | −0.135255 | + | 0.416272i | −0.00971074 | + | 0.0298866i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | + | 6.53888i | −0.642857 | + | 0.467063i | ||||
\(197\) | 16.0344 | 1.14241 | 0.571203 | − | 0.820809i | \(-0.306477\pi\) | ||||
0.571203 | + | 0.820809i | \(0.306477\pi\) | |||||||
\(198\) | −1.16312 | + | 0.502029i | −0.0826593 | + | 0.0356776i | ||||
\(199\) | −6.70820 | −0.475532 | −0.237766 | − | 0.971322i | \(-0.576415\pi\) | ||||
−0.237766 | + | 0.971322i | \(0.576415\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.50000 | + | 4.61653i | 0.105802 | + | 0.325625i | ||||
\(202\) | −0.680340 | + | 2.09387i | −0.0478685 | + | 0.147324i | ||||
\(203\) | 4.85410 | + | 3.52671i | 0.340691 | + | 0.247527i | ||||
\(204\) | 11.7812 | + | 8.55951i | 0.824846 | + | 0.599285i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.819660 | − | 2.52265i | −0.0571084 | − | 0.175762i | ||||
\(207\) | −3.42705 | + | 2.48990i | −0.238197 | + | 0.173060i | ||||
\(208\) | 13.3262 | 0.924008 | ||||||||
\(209\) | −1.44427 | + | 2.43690i | −0.0999024 | + | 0.168564i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.11803 | + | 0.812299i | −0.0769686 | + | 0.0559210i | −0.625604 | − | 0.780141i | \(-0.715147\pi\) |
0.548636 | + | 0.836062i | \(0.315147\pi\) | |||||||
\(212\) | −1.50000 | − | 4.61653i | −0.103020 | − | 0.317064i | ||||
\(213\) | −1.64590 | + | 5.06555i | −0.112775 | + | 0.347086i | ||||
\(214\) | −0.781153 | − | 0.567541i | −0.0533985 | − | 0.0387963i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.454915 | + | 1.40008i | −0.0309530 | + | 0.0952637i | ||||
\(217\) | 1.57295 | + | 4.84104i | 0.106779 | + | 0.328631i | ||||
\(218\) | 3.70820 | − | 2.69417i | 0.251151 | − | 0.182472i | ||||
\(219\) | −7.70820 | −0.520872 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 33.2705 | 2.23802 | ||||||||
\(222\) | −0.545085 | + | 0.396027i | −0.0365837 | + | 0.0265796i | ||||
\(223\) | 4.69098 | + | 14.4374i | 0.314131 | + | 0.966797i | 0.976110 | + | 0.217275i | \(0.0697168\pi\) |
−0.661979 | + | 0.749522i | \(0.730283\pi\) | |||||||
\(224\) | 1.28115 | − | 3.94298i | 0.0856006 | − | 0.263452i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.39919 | + | 1.01657i | 0.0930725 | + | 0.0676212i | ||||
\(227\) | 2.83688 | − | 8.73102i | 0.188290 | − | 0.579498i | −0.811699 | − | 0.584076i | \(-0.801457\pi\) |
0.999990 | + | 0.00457752i | \(0.00145707\pi\) | |||||||
\(228\) | 0.489357 | + | 1.50609i | 0.0324085 | + | 0.0997430i | ||||
\(229\) | 6.85410 | − | 4.97980i | 0.452932 | − | 0.329074i | −0.337820 | − | 0.941211i | \(-0.609690\pi\) |
0.790752 | + | 0.612136i | \(0.209690\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.19098 | − | 2.48990i | −0.144156 | − | 0.163823i | ||||
\(232\) | 8.83282 | 0.579903 | ||||||||
\(233\) | −8.78115 | + | 6.37988i | −0.575272 | + | 0.417960i | −0.837017 | − | 0.547177i | \(-0.815702\pi\) |
0.261744 | + | 0.965137i | \(0.415702\pi\) | |||||||
\(234\) | 0.500000 | + | 1.53884i | 0.0326860 | + | 0.100597i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 14.4271 | + | 10.4819i | 0.939121 | + | 0.682311i | ||||
\(237\) | −8.89919 | − | 6.46564i | −0.578064 | − | 0.419988i | ||||
\(238\) | 0.927051 | − | 2.85317i | 0.0600918 | − | 0.184944i | ||||
\(239\) | 0.809017 | + | 2.48990i | 0.0523310 | + | 0.161058i | 0.973807 | − | 0.227378i | \(-0.0730154\pi\) |
−0.921476 | + | 0.388436i | \(0.873015\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.7082 | 1.39835 | 0.699174 | − | 0.714951i | \(-0.253551\pi\) | ||||
0.699174 | + | 0.714951i | \(0.253551\pi\) | |||||||
\(242\) | −2.01722 | − | 3.68571i | −0.129672 | − | 0.236927i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 12.8435 | − | 9.33132i | 0.822218 | − | 0.597376i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.500000 | + | 1.53884i | −0.0318788 | + | 0.0981130i | ||||
\(247\) | 2.92705 | + | 2.12663i | 0.186244 | + | 0.135314i | ||||
\(248\) | 6.06231 | + | 4.40452i | 0.384957 | + | 0.279687i | ||||
\(249\) | 2.30902 | − | 7.10642i | 0.146328 | − | 0.450351i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −20.2082 | + | 14.6821i | −1.27553 | + | 0.926727i | −0.999408 | − | 0.0343954i | \(-0.989049\pi\) |
−0.276122 | + | 0.961123i | \(0.589049\pi\) | |||||||
\(252\) | −1.85410 | −0.116797 | ||||||||
\(253\) | −9.28115 | − | 10.5474i | −0.583501 | − | 0.663108i | ||||
\(254\) | 2.18034 | 0.136807 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.71885 | + | 5.29007i | 0.107428 | + | 0.330629i | ||||
\(257\) | 3.93769 | − | 12.1190i | 0.245627 | − | 0.755961i | −0.749906 | − | 0.661544i | \(-0.769901\pi\) |
0.995533 | − | 0.0944167i | \(-0.0300986\pi\) | |||||||
\(258\) | 2.07295 | + | 1.50609i | 0.129056 | + | 0.0937648i | ||||
\(259\) | −1.42705 | − | 1.03681i | −0.0886726 | − | 0.0644244i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.85410 | − | 5.70634i | −0.114766 | − | 0.353214i | ||||
\(262\) | −3.95492 | + | 2.87341i | −0.244335 | + | 0.177520i | ||||
\(263\) | −18.2705 | −1.12661 | −0.563304 | − | 0.826250i | \(-0.690470\pi\) | ||||
−0.563304 | + | 0.826250i | \(0.690470\pi\) | |||||||
\(264\) | −4.76393 | − | 1.06957i | −0.293200 | − | 0.0658274i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.263932 | − | 0.191758i | 0.0161827 | − | 0.0117574i | ||||
\(267\) | −1.16312 | − | 3.57971i | −0.0711817 | − | 0.219075i | ||||
\(268\) | −2.78115 | + | 8.55951i | −0.169886 | + | 0.522855i | ||||
\(269\) | −1.14590 | − | 0.832544i | −0.0698666 | − | 0.0507611i | 0.552304 | − | 0.833643i | \(-0.313749\pi\) |
−0.622170 | + | 0.782882i | \(0.713749\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.06231 | − | 15.5802i | 0.307513 | − | 0.946428i | −0.671214 | − | 0.741263i | \(-0.734227\pi\) |
0.978727 | − | 0.205165i | \(-0.0657731\pi\) | |||||||
\(272\) | 7.63525 | + | 23.4989i | 0.462955 | + | 1.42483i | ||||
\(273\) | −3.42705 | + | 2.48990i | −0.207415 | + | 0.150695i | ||||
\(274\) | −5.43769 | −0.328503 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.85410 | −0.472761 | ||||||||
\(277\) | 17.9721 | − | 13.0575i | 1.07984 | − | 0.784550i | 0.102186 | − | 0.994765i | \(-0.467416\pi\) |
0.977655 | + | 0.210215i | \(0.0674164\pi\) | |||||||
\(278\) | −0.656541 | − | 2.02063i | −0.0393767 | − | 0.121189i | ||||
\(279\) | 1.57295 | − | 4.84104i | 0.0941700 | − | 0.289825i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.6525 | − | 17.1845i | −1.41099 | − | 1.02514i | −0.993178 | − | 0.116609i | \(-0.962798\pi\) |
−0.417811 | − | 0.908534i | \(-0.637202\pi\) | |||||||
\(282\) | −0.128677 | + | 0.396027i | −0.00766261 | + | 0.0235831i | ||||
\(283\) | −2.38197 | − | 7.33094i | −0.141593 | − | 0.435779i | 0.854964 | − | 0.518687i | \(-0.173579\pi\) |
−0.996557 | + | 0.0829083i | \(0.973579\pi\) | |||||||
\(284\) | −7.98936 | + | 5.80461i | −0.474081 | + | 0.344440i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.92705 | + | 2.12663i | −0.291343 | + | 0.125750i | ||||
\(287\) | −4.23607 | −0.250047 | ||||||||
\(288\) | −3.35410 | + | 2.43690i | −0.197642 | + | 0.143596i | ||||
\(289\) | 13.8090 | + | 42.4998i | 0.812295 | + | 2.49999i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.927051 | + | 0.673542i | 0.0543447 | + | 0.0394837i | ||||
\(292\) | −11.5623 | − | 8.40051i | −0.676633 | − | 0.491602i | ||||
\(293\) | −2.98278 | + | 9.18005i | −0.174256 | + | 0.536304i | −0.999599 | − | 0.0283276i | \(-0.990982\pi\) |
0.825343 | + | 0.564632i | \(0.190982\pi\) | |||||||
\(294\) | −0.708204 | − | 2.17963i | −0.0413033 | − | 0.127118i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.59675 | −0.150933 | ||||||||
\(297\) | 0.309017 | + | 3.30220i | 0.0179310 | + | 0.191613i | ||||
\(298\) | 0.0901699 | 0.00522340 | ||||||||
\(299\) | −14.5172 | + | 10.5474i | −0.839553 | + | 0.609971i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.07295 | + | 6.37988i | −0.119483 | + | 0.367730i | ||||
\(302\) | −5.85410 | − | 4.25325i | −0.336866 | − | 0.244747i | ||||
\(303\) | 4.66312 | + | 3.38795i | 0.267889 | + | 0.194633i | ||||
\(304\) | −0.830303 | + | 2.55541i | −0.0476212 | + | 0.146563i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −2.42705 | + | 1.76336i | −0.138745 | + | 0.100804i | ||||
\(307\) | 18.9787 | 1.08317 | 0.541586 | − | 0.840645i | \(-0.317824\pi\) | ||||
0.541586 | + | 0.840645i | \(0.317824\pi\) | |||||||
\(308\) | −0.572949 | − | 6.12261i | −0.0326468 | − | 0.348868i | ||||
\(309\) | −6.94427 | −0.395046 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.07295 | − | 18.6906i | −0.344365 | − | 1.05985i | −0.961923 | − | 0.273322i | \(-0.911878\pi\) |
0.617557 | − | 0.786526i | \(-0.288122\pi\) | |||||||
\(312\) | −1.92705 | + | 5.93085i | −0.109098 | + | 0.335768i | ||||
\(313\) | −9.28115 | − | 6.74315i | −0.524602 | − | 0.381146i | 0.293733 | − | 0.955888i | \(-0.405102\pi\) |
−0.818335 | + | 0.574742i | \(0.805102\pi\) | |||||||
\(314\) | 0.708204 | + | 0.514540i | 0.0399663 | + | 0.0290372i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.30244 | − | 19.3969i | −0.354540 | − | 1.09116i | ||||
\(317\) | −23.6074 | + | 17.1518i | −1.32592 | + | 0.963340i | −0.326085 | + | 0.945340i | \(0.605730\pi\) |
−0.999838 | + | 0.0179992i | \(0.994270\pi\) | |||||||
\(318\) | 1.00000 | 0.0560772 | ||||||||
\(319\) | 18.2705 | − | 7.88597i | 1.02295 | − | 0.441529i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.04508 | + | 1.48584i | −0.114146 | + | 0.0829316i | ||||
\(322\) | 0.500000 | + | 1.53884i | 0.0278639 | + | 0.0857563i | ||||
\(323\) | −2.07295 | + | 6.37988i | −0.115342 | + | 0.354986i | ||||
\(324\) | 1.50000 | + | 1.08981i | 0.0833333 | + | 0.0605452i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.39919 | − | 4.30625i | 0.0774938 | − | 0.238501i | ||||
\(327\) | −3.70820 | − | 11.4127i | −0.205064 | − | 0.631123i | ||||
\(328\) | −5.04508 | + | 3.66547i | −0.278568 | + | 0.202392i | ||||
\(329\) | −1.09017 | −0.0601030 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.29180 | 0.180933 | 0.0904667 | − | 0.995899i | \(-0.471164\pi\) | ||||
0.0904667 | + | 0.995899i | \(0.471164\pi\) | |||||||
\(332\) | 11.2082 | − | 8.14324i | 0.615130 | − | 0.446918i | ||||
\(333\) | 0.545085 | + | 1.67760i | 0.0298705 | + | 0.0919319i | ||||
\(334\) | 2.01064 | − | 6.18812i | 0.110017 | − | 0.338599i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.54508 | − | 1.84911i | −0.138846 | − | 0.100877i | ||||
\(337\) | −1.29180 | + | 3.97574i | −0.0703686 | + | 0.216572i | −0.980056 | − | 0.198721i | \(-0.936321\pi\) |
0.909687 | + | 0.415294i | \(0.136321\pi\) | |||||||
\(338\) | 0.583592 | + | 1.79611i | 0.0317432 | + | 0.0976956i | ||||
\(339\) | 3.66312 | − | 2.66141i | 0.198953 | − | 0.144548i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 16.4721 | + | 3.69822i | 0.892016 | + | 0.200270i | ||||
\(342\) | −0.326238 | −0.0176409 | ||||||||
\(343\) | 10.5172 | − | 7.64121i | 0.567877 | − | 0.412586i | ||||
\(344\) | 3.05166 | + | 9.39205i | 0.164535 | + | 0.506386i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.40983 | + | 2.47739i | 0.183314 | + | 0.133185i | ||||
\(347\) | −8.47214 | − | 6.15537i | −0.454808 | − | 0.330437i | 0.336683 | − | 0.941618i | \(-0.390695\pi\) |
−0.791491 | + | 0.611181i | \(0.790695\pi\) | |||||||
\(348\) | 3.43769 | − | 10.5801i | 0.184280 | − | 0.567155i | ||||
\(349\) | −0.218847 | − | 0.673542i | −0.0117146 | − | 0.0360539i | 0.945028 | − | 0.326988i | \(-0.106034\pi\) |
−0.956743 | + | 0.290935i | \(0.906034\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.23607 | 0.226105 | ||||||||
\(352\) | −9.08359 | − | 10.3229i | −0.484157 | − | 0.550211i | ||||
\(353\) | 12.0000 | 0.638696 | 0.319348 | − | 0.947638i | \(-0.396536\pi\) | ||||
0.319348 | + | 0.947638i | \(0.396536\pi\) | |||||||
\(354\) | −2.97214 | + | 2.15938i | −0.157967 | + | 0.114770i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.15654 | − | 6.63715i | 0.114296 | − | 0.351768i | ||||
\(357\) | −6.35410 | − | 4.61653i | −0.336295 | − | 0.244332i | ||||
\(358\) | 5.39919 | + | 3.92274i | 0.285356 | + | 0.207323i | ||||
\(359\) | 1.14590 | − | 3.52671i | 0.0604782 | − | 0.186133i | −0.916253 | − | 0.400600i | \(-0.868802\pi\) |
0.976731 | + | 0.214468i | \(0.0688016\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.7812 | − | 10.7391i | 0.777955 | − | 0.565218i | ||||
\(362\) | 4.38197 | 0.230311 | ||||||||
\(363\) | −10.8090 | + | 2.04087i | −0.567326 | + | 0.107118i | ||||
\(364\) | −7.85410 | −0.411667 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.01064 | + | 3.11044i | 0.0528272 | + | 0.162585i | ||||
\(367\) | −8.91641 | + | 27.4419i | −0.465433 | + | 1.43245i | 0.393005 | + | 0.919536i | \(0.371436\pi\) |
−0.858438 | + | 0.512918i | \(0.828564\pi\) | |||||||
\(368\) | −10.7812 | − | 7.83297i | −0.562006 | − | 0.408322i | ||||
\(369\) | 3.42705 | + | 2.48990i | 0.178405 | + | 0.129619i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.809017 | + | 2.48990i | 0.0420021 | + | 0.129269i | ||||
\(372\) | 7.63525 | − | 5.54734i | 0.395870 | − | 0.287616i | ||||
\(373\) | 34.8885 | 1.80646 | 0.903230 | − | 0.429156i | \(-0.141189\pi\) | ||||
0.903230 | + | 0.429156i | \(0.141189\pi\) | |||||||
\(374\) | −6.57295 | − | 7.46969i | −0.339879 | − | 0.386249i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.29837 | + | 0.943324i | −0.0669585 | + | 0.0486482i | ||||
\(377\) | −7.85410 | − | 24.1724i | −0.404507 | − | 1.24494i | ||||
\(378\) | 0.118034 | − | 0.363271i | 0.00607101 | − | 0.0186847i | ||||
\(379\) | −8.80902 | − | 6.40013i | −0.452489 | − | 0.328752i | 0.338089 | − | 0.941114i | \(-0.390220\pi\) |
−0.790578 | + | 0.612362i | \(0.790220\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.76393 | − | 5.42882i | 0.0903690 | − | 0.278127i | ||||
\(382\) | −2.73607 | − | 8.42075i | −0.139989 | − | 0.430843i | ||||
\(383\) | 0.572949 | − | 0.416272i | 0.0292763 | − | 0.0212705i | −0.573051 | − | 0.819520i | \(-0.694240\pi\) |
0.602327 | + | 0.798249i | \(0.294240\pi\) | |||||||
\(384\) | −10.0902 | −0.514912 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.76393 | 0.191579 | ||||||||
\(387\) | 5.42705 | − | 3.94298i | 0.275873 | − | 0.200433i | ||||
\(388\) | 0.656541 | + | 2.02063i | 0.0333308 | + | 0.102582i | ||||
\(389\) | 1.77458 | − | 5.46158i | 0.0899745 | − | 0.276913i | −0.895937 | − | 0.444181i | \(-0.853495\pi\) |
0.985911 | + | 0.167268i | \(0.0534946\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −26.9164 | − | 19.5559i | −1.36122 | − | 0.988985i | ||||
\(392\) | 2.72949 | − | 8.40051i | 0.137860 | − | 0.424290i | ||||
\(393\) | 3.95492 | + | 12.1720i | 0.199499 | + | 0.613995i | ||||
\(394\) | −4.95492 | + | 3.59996i | −0.249625 | + | 0.181363i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.13525 | + | 5.29007i | −0.157552 | + | 0.265836i | ||||
\(397\) | 5.29180 | 0.265588 | 0.132794 | − | 0.991144i | \(-0.457605\pi\) | ||||
0.132794 | + | 0.991144i | \(0.457605\pi\) | |||||||
\(398\) | 2.07295 | − | 1.50609i | 0.103908 | − | 0.0754933i | ||||
\(399\) | −0.263932 | − | 0.812299i | −0.0132131 | − | 0.0406658i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.2082 | − | 16.8617i | −1.15896 | − | 0.842035i | −0.169316 | − | 0.985562i | \(-0.554156\pi\) |
−0.989646 | + | 0.143526i | \(0.954156\pi\) | |||||||
\(402\) | −1.50000 | − | 1.08981i | −0.0748132 | − | 0.0543550i | ||||
\(403\) | 6.66312 | − | 20.5070i | 0.331914 | − | 1.02153i | ||||
\(404\) | 3.30244 | + | 10.1639i | 0.164302 | + | 0.505671i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.29180 | −0.113740 | ||||||||
\(407\) | −5.37132 | + | 2.31838i | −0.266247 | + | 0.114918i | ||||
\(408\) | −11.5623 | −0.572419 | ||||||||
\(409\) | −2.00000 | + | 1.45309i | −0.0988936 | + | 0.0718504i | −0.636133 | − | 0.771579i | \(-0.719467\pi\) |
0.537240 | + | 0.843430i | \(0.319467\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.39919 | + | 13.5393i | −0.216996 | + | 0.667845i | ||||
\(412\) | −10.4164 | − | 7.56796i | −0.513180 | − | 0.372847i | ||||
\(413\) | −7.78115 | − | 5.65334i | −0.382886 | − | 0.278183i | ||||
\(414\) | 0.500000 | − | 1.53884i | 0.0245737 | − | 0.0756299i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −14.2082 | + | 10.3229i | −0.696615 | + | 0.506120i | ||||
\(417\) | −5.56231 | −0.272387 | ||||||||
\(418\) | −0.100813 | − | 1.07730i | −0.00493093 | − | 0.0526926i | ||||
\(419\) | −24.4508 | −1.19450 | −0.597251 | − | 0.802054i | \(-0.703740\pi\) | ||||
−0.597251 | + | 0.802054i | \(0.703740\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.50000 | − | 26.1603i | −0.414265 | − | 1.27498i | −0.912907 | − | 0.408168i | \(-0.866168\pi\) |
0.498642 | − | 0.866808i | \(-0.333832\pi\) | |||||||
\(422\) | 0.163119 | − | 0.502029i | 0.00794051 | − | 0.0244384i | ||||
\(423\) | 0.881966 | + | 0.640786i | 0.0428827 | + | 0.0311561i | ||||
\(424\) | 3.11803 | + | 2.26538i | 0.151425 | + | 0.110017i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.628677 | − | 1.93487i | −0.0304595 | − | 0.0937447i | ||||
\(427\) | −6.92705 | + | 5.03280i | −0.335223 | + | 0.243554i | ||||
\(428\) | −4.68692 | −0.226551 | ||||||||
\(429\) | 1.30902 | + | 13.9883i | 0.0631999 | + | 0.675363i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.8262 | − | 10.0453i | 0.665986 | − | 0.483867i | −0.202693 | − | 0.979242i | \(-0.564969\pi\) |
0.868679 | + | 0.495375i | \(0.164969\pi\) | |||||||
\(432\) | 0.972136 | + | 2.99193i | 0.0467719 | + | 0.143949i | ||||
\(433\) | 8.43769 | − | 25.9686i | 0.405490 | − | 1.24797i | −0.514996 | − | 0.857193i | \(-0.672207\pi\) |
0.920486 | − | 0.390776i | \(-0.127793\pi\) | |||||||
\(434\) | −1.57295 | − | 1.14281i | −0.0755040 | − | 0.0548568i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.87539 | − | 21.1603i | 0.329271 | − | 1.01339i | ||||
\(437\) | −1.11803 | − | 3.44095i | −0.0534828 | − | 0.164603i | ||||
\(438\) | 2.38197 | − | 1.73060i | 0.113815 | − | 0.0826912i | ||||
\(439\) | 36.7082 | 1.75199 | 0.875993 | − | 0.482323i | \(-0.160207\pi\) | ||||
0.875993 | + | 0.482323i | \(0.160207\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.00000 | −0.285714 | ||||||||
\(442\) | −10.2812 | + | 7.46969i | −0.489025 | + | 0.355297i | ||||
\(443\) | −5.43769 | − | 16.7355i | −0.258353 | − | 0.795128i | −0.993151 | − | 0.116842i | \(-0.962723\pi\) |
0.734798 | − | 0.678286i | \(-0.237277\pi\) | |||||||
\(444\) | −1.01064 | + | 3.11044i | −0.0479630 | + | 0.147615i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.69098 | − | 3.40820i | −0.222124 | − | 0.161383i | ||||
\(447\) | 0.0729490 | − | 0.224514i | 0.00345037 | − | 0.0106191i | ||||
\(448\) | −1.45492 | − | 4.47777i | −0.0687383 | − | 0.211555i | ||||
\(449\) | 21.7984 | − | 15.8374i | 1.02873 | − | 0.747415i | 0.0606750 | − | 0.998158i | \(-0.480675\pi\) |
0.968054 | + | 0.250742i | \(0.0806747\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.16312 | + | 12.0862i | −0.337298 | + | 0.569118i | ||||
\(452\) | 8.39512 | 0.394873 | ||||||||
\(453\) | −15.3262 | + | 11.1352i | −0.720089 | + | 0.523176i | ||||
\(454\) | 1.08359 | + | 3.33495i | 0.0508555 | + | 0.156517i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.01722 | − | 0.739054i | −0.0476357 | − | 0.0346094i | ||||
\(457\) | −18.5902 | − | 13.5065i | −0.869611 | − | 0.631810i | 0.0608712 | − | 0.998146i | \(-0.480612\pi\) |
−0.930483 | + | 0.366336i | \(0.880612\pi\) | |||||||
\(458\) | −1.00000 | + | 3.07768i | −0.0467269 | + | 0.143811i | ||||
\(459\) | 2.42705 | + | 7.46969i | 0.113285 | + | 0.348655i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −24.2705 | −1.13039 | −0.565195 | − | 0.824957i | \(-0.691199\pi\) | ||||
−0.565195 | + | 0.824957i | \(0.691199\pi\) | |||||||
\(462\) | 1.23607 | + | 0.277515i | 0.0575071 | + | 0.0129111i | ||||
\(463\) | −35.2705 | −1.63916 | −0.819580 | − | 0.572965i | \(-0.805793\pi\) | ||||
−0.819580 | + | 0.572965i | \(0.805793\pi\) | |||||||
\(464\) | 15.2705 | − | 11.0947i | 0.708916 | − | 0.515057i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.28115 | − | 3.94298i | 0.0593483 | − | 0.182655i | ||||
\(467\) | −12.0451 | − | 8.75127i | −0.557380 | − | 0.404960i | 0.273119 | − | 0.961980i | \(-0.411945\pi\) |
−0.830499 | + | 0.557020i | \(0.811945\pi\) | |||||||
\(468\) | 6.35410 | + | 4.61653i | 0.293718 | + | 0.213399i | ||||
\(469\) | 1.50000 | − | 4.61653i | 0.0692636 | − | 0.213171i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.85410 | − | 1.34708i | 0.0854325 | − | 0.0620704i | ||||
\(472\) | −14.1591 | −0.651723 | ||||||||
\(473\) | 14.6976 | + | 16.7027i | 0.675795 | + | 0.767993i | ||||
\(474\) | 4.20163 | 0.192987 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −4.50000 | − | 13.8496i | −0.206257 | − | 0.634794i | ||||
\(477\) | 0.809017 | − | 2.48990i | 0.0370423 | − | 0.114005i | ||||
\(478\) | −0.809017 | − | 0.587785i | −0.0370036 | − | 0.0268847i | ||||
\(479\) | 24.7705 | + | 17.9968i | 1.13179 | + | 0.822296i | 0.985955 | − | 0.167012i | \(-0.0534120\pi\) |
0.145839 | + | 0.989308i | \(0.453412\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.30902 | + | 7.10642i | 0.105282 | + | 0.324025i | ||||
\(482\) | −6.70820 | + | 4.87380i | −0.305550 | + | 0.221995i | ||||
\(483\) | 4.23607 | 0.192748 | ||||||||
\(484\) | −18.4377 | − | 8.71851i | −0.838077 | − | 0.396296i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.309017 | + | 0.224514i | −0.0140173 | + | 0.0101842i | ||||
\(487\) | −0.218847 | − | 0.673542i | −0.00991691 | − | 0.0305211i | 0.945976 | − | 0.324238i | \(-0.105108\pi\) |
−0.955893 | + | 0.293717i | \(0.905108\pi\) | |||||||
\(488\) | −3.89512 | + | 11.9880i | −0.176324 | + | 0.542669i | ||||
\(489\) | −9.59017 | − | 6.96767i | −0.433682 | − | 0.315089i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −8.98936 | + | 27.6664i | −0.405684 | + | 1.24857i | 0.514639 | + | 0.857407i | \(0.327926\pi\) |
−0.920323 | + | 0.391160i | \(0.872074\pi\) | |||||||
\(492\) | 2.42705 | + | 7.46969i | 0.109420 | + | 0.336760i | ||||
\(493\) | 38.1246 | − | 27.6992i | 1.71705 | − | 1.24751i | ||||
\(494\) | −1.38197 | −0.0621776 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.0132 | 0.719012 | ||||||||
\(497\) | 4.30902 | − | 3.13068i | 0.193286 | − | 0.140430i | ||||
\(498\) | 0.881966 | + | 2.71441i | 0.0395218 | + | 0.121636i | ||||
\(499\) | −7.68034 | + | 23.6377i | −0.343819 | + | 1.05817i | 0.618394 | + | 0.785868i | \(0.287784\pi\) |
−0.962213 | + | 0.272298i | \(0.912216\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −13.7812 | − | 10.0126i | −0.615697 | − | 0.447330i | ||||
\(502\) | 2.94834 | − | 9.07405i | 0.131591 | − | 0.404995i | ||||
\(503\) | 7.00000 | + | 21.5438i | 0.312115 | + | 0.960590i | 0.976926 | + | 0.213579i | \(0.0685119\pi\) |
−0.664811 | + | 0.747011i | \(0.731488\pi\) | |||||||
\(504\) | 1.19098 | − | 0.865300i | 0.0530506 | − | 0.0385435i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 5.23607 | + | 1.17557i | 0.232772 | + | 0.0522605i | ||||
\(507\) | 4.94427 | 0.219583 | ||||||||
\(508\) | 8.56231 | − | 6.22088i | 0.379891 | − | 0.276007i | ||||
\(509\) | −1.15654 | − | 3.55947i | −0.0512628 | − | 0.157771i | 0.922148 | − | 0.386837i | \(-0.126433\pi\) |
−0.973411 | + | 0.229067i | \(0.926433\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.23607 | + | 4.53077i | 0.275867 | + | 0.200429i | ||||
\(512\) | −18.0451 | − | 13.1105i | −0.797488 | − | 0.579409i | ||||
\(513\) | −0.263932 | + | 0.812299i | −0.0116529 | + | 0.0358639i | ||||
\(514\) | 1.50407 | + | 4.62904i | 0.0663415 | + | 0.204178i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 12.4377 | 0.547539 | ||||||||
\(517\) | −1.84346 | + | 3.11044i | −0.0810752 | + | 0.136797i | ||||
\(518\) | 0.673762 | 0.0296034 | ||||||||
\(519\) | 8.92705 | − | 6.48588i | 0.391854 | − | 0.284699i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.76393 | + | 8.50651i | −0.121090 | + | 0.372677i | −0.993168 | − | 0.116689i | \(-0.962772\pi\) |
0.872078 | + | 0.489366i | \(0.162772\pi\) | |||||||
\(522\) | 1.85410 | + | 1.34708i | 0.0811518 | + | 0.0589603i | ||||
\(523\) | −12.3541 | − | 8.97578i | −0.540207 | − | 0.392483i | 0.283955 | − | 0.958838i | \(-0.408353\pi\) |
−0.824162 | + | 0.566354i | \(0.808353\pi\) | |||||||
\(524\) | −7.33282 | + | 22.5681i | −0.320336 | + | 0.985891i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.64590 | − | 4.10199i | 0.246173 | − | 0.178855i | ||||
\(527\) | 39.9787 | 1.74150 | ||||||||
\(528\) | −9.57953 | + | 4.13474i | −0.416895 | + | 0.179942i | ||||
\(529\) | −5.05573 | −0.219814 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.97214 | + | 9.14729i | 0.128980 | + | 0.396959i | ||||
\(532\) | 0.489357 | − | 1.50609i | 0.0212163 | − | 0.0652971i | ||||
\(533\) | 14.5172 | + | 10.5474i | 0.628811 | + | 0.456858i | ||||
\(534\) | 1.16312 | + | 0.845055i | 0.0503331 | + | 0.0365691i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2.20820 | − | 6.79615i | −0.0953799 | − | 0.293549i | ||||
\(537\) | 14.1353 | − | 10.2699i | 0.609981 | − | 0.443177i | ||||
\(538\) | 0.541020 | 0.0233250 | ||||||||
\(539\) | −1.85410 | − | 19.8132i | −0.0798618 | − | 0.853414i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 36.8156 | − | 26.7481i | 1.58283 | − | 1.14999i | 0.669462 | − | 0.742846i | \(-0.266525\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(542\) | 1.93363 | + | 5.95110i | 0.0830565 | + | 0.255622i | ||||
\(543\) | 3.54508 | − | 10.9106i | 0.152134 | − | 0.468221i | ||||
\(544\) | −26.3435 | − | 19.1396i | −1.12947 | − | 0.820605i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.500000 | − | 1.53884i | 0.0213980 | − | 0.0658563i | ||||
\(547\) | −3.62868 | − | 11.1679i | −0.155151 | − | 0.477506i | 0.843025 | − | 0.537874i | \(-0.180772\pi\) |
−0.998176 | + | 0.0603684i | \(0.980772\pi\) | |||||||
\(548\) | −21.3541 | + | 15.5147i | −0.912202 | + | 0.662754i | ||||
\(549\) | 8.56231 | 0.365430 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.12461 | 0.218316 | ||||||||
\(552\) | 5.04508 | − | 3.66547i | 0.214733 | − | 0.156013i | ||||
\(553\) | 3.39919 | + | 10.4616i | 0.144548 | + | 0.444873i | ||||
\(554\) | −2.62210 | + | 8.06999i | −0.111402 | + | 0.342861i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.34346 | − | 6.06188i | −0.353841 | − | 0.257081i | ||||
\(557\) | 12.5557 | − | 38.6426i | 0.532003 | − | 1.63734i | −0.218033 | − | 0.975941i | \(-0.569964\pi\) |
0.750037 | − | 0.661396i | \(-0.230036\pi\) | |||||||
\(558\) | 0.600813 | + | 1.84911i | 0.0254344 | + | 0.0782792i | ||||
\(559\) | 22.9894 | − | 16.7027i | 0.972346 | − | 0.706451i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −23.9164 | + | 10.3229i | −1.00975 | + | 0.435832i | ||||
\(562\) | 11.1672 | 0.471059 | ||||||||
\(563\) | −6.95492 | + | 5.05304i | −0.293115 | + | 0.212960i | −0.724617 | − | 0.689151i | \(-0.757984\pi\) |
0.431503 | + | 0.902112i | \(0.357984\pi\) | |||||||
\(564\) | 0.624612 | + | 1.92236i | 0.0263009 | + | 0.0809459i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.38197 | + | 1.73060i | 0.100121 | + | 0.0727425i | ||||
\(567\) | −0.809017 | − | 0.587785i | −0.0339755 | − | 0.0246847i | ||||
\(568\) | 2.42299 | − | 7.45718i | 0.101666 | − | 0.312896i | ||||
\(569\) | 3.65248 | + | 11.2412i | 0.153120 | + | 0.471254i | 0.997966 | − | 0.0637558i | \(-0.0203079\pi\) |
−0.844846 | + | 0.535010i | \(0.820308\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.09017 | 0.0874709 | 0.0437354 | − | 0.999043i | \(-0.486074\pi\) | ||||
0.0437354 | + | 0.999043i | \(0.486074\pi\) | |||||||
\(572\) | −13.2812 | + | 22.4091i | −0.555313 | + | 0.936971i | ||||
\(573\) | −23.1803 | −0.968373 | ||||||||
\(574\) | 1.30902 | − | 0.951057i | 0.0546373 | − | 0.0396963i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.45492 | + | 4.47777i | −0.0606215 | + | 0.186574i | ||||
\(577\) | 14.7984 | + | 10.7516i | 0.616064 | + | 0.447597i | 0.851545 | − | 0.524282i | \(-0.175666\pi\) |
−0.235480 | + | 0.971879i | \(0.575666\pi\) | |||||||
\(578\) | −13.8090 | − | 10.0328i | −0.574379 | − | 0.417311i | ||||
\(579\) | 3.04508 | − | 9.37181i | 0.126549 | − | 0.389479i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.04508 | + | 4.39201i | −0.250792 | + | 0.182211i | ||||
\(582\) | −0.437694 | −0.0181430 | ||||||||
\(583\) | 8.47214 | + | 1.90211i | 0.350880 | + | 0.0787775i | ||||
\(584\) | 11.3475 | 0.469564 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.13932 | − | 3.50647i | −0.0470649 | − | 0.144851i | ||||
\(587\) | −11.7812 | + | 36.2587i | −0.486260 | + | 1.49656i | 0.343887 | + | 0.939011i | \(0.388256\pi\) |
−0.830147 | + | 0.557544i | \(0.811744\pi\) | |||||||
\(588\) | −9.00000 | − | 6.53888i | −0.371154 | − | 0.269659i | ||||
\(589\) | 3.51722 | + | 2.55541i | 0.144925 | + | 0.105294i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.95492 | + | 15.2497i | 0.203818 | + | 0.627287i | ||||
\(592\) | −4.48936 | + | 3.26171i | −0.184511 | + | 0.134055i | ||||
\(593\) | −15.0344 | −0.617391 | −0.308695 | − | 0.951161i | \(-0.599892\pi\) | ||||
−0.308695 | + | 0.951161i | \(0.599892\pi\) | |||||||
\(594\) | −0.836881 | − | 0.951057i | −0.0343376 | − | 0.0390223i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.354102 | − | 0.257270i | 0.0145046 | − | 0.0105382i | ||||
\(597\) | −2.07295 | − | 6.37988i | −0.0848402 | − | 0.261111i | ||||
\(598\) | 2.11803 | − | 6.51864i | 0.0866129 | − | 0.266567i | ||||
\(599\) | 15.0902 | + | 10.9637i | 0.616568 | + | 0.447963i | 0.851721 | − | 0.523996i | \(-0.175559\pi\) |
−0.235153 | + | 0.971958i | \(0.575559\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.92705 | − | 27.4746i | 0.364142 | − | 1.12071i | −0.586375 | − | 0.810040i | \(-0.699445\pi\) |
0.950517 | − | 0.310674i | \(-0.100555\pi\) | |||||||
\(602\) | −0.791796 | − | 2.43690i | −0.0322712 | − | 0.0993205i | ||||
\(603\) | −3.92705 | + | 2.85317i | −0.159922 | + | 0.116190i | ||||
\(604\) | −35.1246 | −1.42920 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.20163 | −0.0894349 | ||||||||
\(607\) | 2.88197 | − | 2.09387i | 0.116975 | − | 0.0849876i | −0.527760 | − | 0.849394i | \(-0.676968\pi\) |
0.644735 | + | 0.764406i | \(0.276968\pi\) | |||||||
\(608\) | −1.09424 | − | 3.36771i | −0.0443771 | − | 0.136579i | ||||
\(609\) | −1.85410 | + | 5.70634i | −0.0751320 | + | 0.231233i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.73607 | + | 2.71441i | 0.151145 | + | 0.109813i | ||||
\(612\) | −4.50000 | + | 13.8496i | −0.181902 | + | 0.559836i | ||||
\(613\) | 8.56231 | + | 26.3521i | 0.345828 | + | 1.06435i | 0.961139 | + | 0.276065i | \(0.0890306\pi\) |
−0.615311 | + | 0.788285i | \(0.710969\pi\) | |||||||
\(614\) | −5.86475 | + | 4.26099i | −0.236682 | + | 0.171959i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.22542 | + | 3.66547i | 0.129956 | + | 0.147686i | ||||
\(617\) | 11.1803 | 0.450104 | 0.225052 | − | 0.974347i | \(-0.427745\pi\) | ||||
0.225052 | + | 0.974347i | \(0.427745\pi\) | |||||||
\(618\) | 2.14590 | − | 1.55909i | 0.0863207 | − | 0.0627156i | ||||
\(619\) | −4.98278 | − | 15.3354i | −0.200275 | − | 0.616382i | −0.999874 | − | 0.0158490i | \(-0.994955\pi\) |
0.799600 | − | 0.600533i | \(-0.205045\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.42705 | − | 2.48990i | −0.137523 | − | 0.0999162i | ||||
\(622\) | 6.07295 | + | 4.41226i | 0.243503 | + | 0.176915i | ||||
\(623\) | −1.16312 | + | 3.57971i | −0.0465994 | + | 0.143418i | ||||
\(624\) | 4.11803 | + | 12.6740i | 0.164853 | + | 0.507366i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 4.38197 | 0.175139 | ||||||||
\(627\) | −2.76393 | − | 0.620541i | −0.110381 | − | 0.0247820i | ||||
\(628\) | 4.24922 | 0.169562 | ||||||||
\(629\) | −11.2082 | + | 8.14324i | −0.446900 | + | 0.324692i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.95492 | + | 30.6381i | −0.396299 | + | 1.21968i | 0.531646 | + | 0.846966i | \(0.321574\pi\) |
−0.927945 | + | 0.372716i | \(0.878426\pi\) | |||||||
\(632\) | 13.1008 | + | 9.51830i | 0.521122 | + | 0.378618i | ||||
\(633\) | −1.11803 | − | 0.812299i | −0.0444379 | − | 0.0322860i | ||||
\(634\) | 3.44427 | − | 10.6004i | 0.136790 | − | 0.420995i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 3.92705 | − | 2.85317i | 0.155718 | − | 0.113136i | ||||
\(637\) | −25.4164 | −1.00703 | ||||||||
\(638\) | −3.87539 | + | 6.53888i | −0.153428 | + | 0.258877i | ||||
\(639\) | −5.32624 | −0.210703 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.29837 | − | 13.2290i | −0.169776 | − | 0.522515i | 0.829581 | − | 0.558387i | \(-0.188579\pi\) |
−0.999356 | + | 0.0358711i | \(0.988579\pi\) | |||||||
\(642\) | 0.298374 | − | 0.918300i | 0.0117759 | − | 0.0362424i | ||||
\(643\) | 11.4443 | + | 8.31475i | 0.451318 | + | 0.327902i | 0.790116 | − | 0.612957i | \(-0.210020\pi\) |
−0.338798 | + | 0.940859i | \(0.610020\pi\) | |||||||
\(644\) | 6.35410 | + | 4.61653i | 0.250387 | + | 0.181917i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.791796 | − | 2.43690i | −0.0311528 | − | 0.0958785i | ||||
\(647\) | 12.9164 | − | 9.38432i | 0.507796 | − | 0.368936i | −0.304191 | − | 0.952611i | \(-0.598386\pi\) |
0.811987 | + | 0.583676i | \(0.198386\pi\) | |||||||
\(648\) | −1.47214 | −0.0578310 | ||||||||
\(649\) | −29.2877 | + | 12.6412i | −1.14964 | + | 0.496212i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.11803 | + | 2.99193i | −0.161398 | + | 0.117263i | ||||
\(652\) | −6.79180 | − | 20.9030i | −0.265987 | − | 0.818625i | ||||
\(653\) | 1.04508 | − | 3.21644i | 0.0408973 | − | 0.125869i | −0.928523 | − | 0.371274i | \(-0.878921\pi\) |
0.969421 | + | 0.245405i | \(0.0789210\pi\) | |||||||
\(654\) | 3.70820 | + | 2.69417i | 0.145002 | + | 0.105350i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.11803 | + | 12.6740i | −0.160782 | + | 0.494837i | ||||
\(657\) | −2.38197 | − | 7.33094i | −0.0929293 | − | 0.286007i | ||||
\(658\) | 0.336881 | − | 0.244758i | 0.0131330 | − | 0.00954168i | ||||
\(659\) | −0.875388 | −0.0341003 | −0.0170501 | − | 0.999855i | \(-0.505427\pi\) | ||||
−0.0170501 | + | 0.999855i | \(0.505427\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.4377 | 0.639352 | 0.319676 | − | 0.947527i | \(-0.396426\pi\) | ||||
0.319676 | + | 0.947527i | \(0.396426\pi\) | |||||||
\(662\) | −1.01722 | + | 0.739054i | −0.0395354 | + | 0.0287242i | ||||
\(663\) | 10.2812 | + | 31.6421i | 0.399287 | + | 1.22888i | ||||
\(664\) | −3.39919 | + | 10.4616i | −0.131914 | + | 0.405990i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.545085 | − | 0.396027i | −0.0211216 | − | 0.0153458i | ||||
\(667\) | −7.85410 | + | 24.1724i | −0.304112 | + | 0.935961i | ||||
\(668\) | −9.75987 | − | 30.0378i | −0.377621 | − | 1.16220i | ||||
\(669\) | −12.2812 | + | 8.92278i | −0.474817 | + | 0.344975i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.64590 | + | 28.2744i | 0.102144 | + | 1.09152i | ||||
\(672\) | 4.14590 | 0.159931 | ||||||||
\(673\) | −14.4271 | + | 10.4819i | −0.556122 | + | 0.404046i | −0.830038 | − | 0.557707i | \(-0.811681\pi\) |
0.273916 | + | 0.961754i | \(0.411681\pi\) | |||||||
\(674\) | −0.493422 | − | 1.51860i | −0.0190059 | − | 0.0584942i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.41641 | + | 5.38834i | 0.285246 | + | 0.207244i | ||||
\(677\) | 18.1803 | + | 13.2088i | 0.698727 | + | 0.507655i | 0.879517 | − | 0.475867i | \(-0.157866\pi\) |
−0.180790 | + | 0.983522i | \(0.557866\pi\) | |||||||
\(678\) | −0.534442 | + | 1.64484i | −0.0205251 | + | 0.0631698i | ||||
\(679\) | −0.354102 | − | 1.08981i | −0.0135892 | − | 0.0418232i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.18034 | 0.351791 | ||||||||
\(682\) | −5.92047 | + | 2.55541i | −0.226707 | + | 0.0978517i | ||||
\(683\) | 49.0689 | 1.87757 | 0.938784 | − | 0.344505i | \(-0.111953\pi\) | ||||
0.938784 | + | 0.344505i | \(0.111953\pi\) | |||||||
\(684\) | −1.28115 | + | 0.930812i | −0.0489861 | + | 0.0355905i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −1.53444 | + | 4.72253i | −0.0585853 | + | 0.180307i | ||||
\(687\) | 6.85410 | + | 4.97980i | 0.261500 | + | 0.189991i | ||||
\(688\) | 17.0729 | + | 12.4042i | 0.650900 | + | 0.472907i | ||||
\(689\) | 3.42705 | − | 10.5474i | 0.130560 | − | 0.401823i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −26.4164 | + | 19.1926i | −1.00493 | + | 0.730123i | −0.963139 | − | 0.269004i | \(-0.913306\pi\) |
−0.0417884 | + | 0.999126i | \(0.513306\pi\) | |||||||
\(692\) | 20.4590 | 0.777734 | ||||||||
\(693\) | 1.69098 | − | 2.85317i | 0.0642351 | − | 0.108383i | ||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.72949 | + | 8.40051i | 0.103461 | + | 0.318420i | ||||
\(697\) | −10.2812 | + | 31.6421i | −0.389426 | + | 1.19853i | ||||
\(698\) | 0.218847 | + | 0.159002i | 0.00828348 | + | 0.00601830i | ||||
\(699\) | −8.78115 | − | 6.37988i | −0.332134 | − | 0.241309i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.15248 | − | 9.70232i | −0.119067 | − | 0.366452i | 0.873706 | − | 0.486454i | \(-0.161710\pi\) |
−0.992774 | + | 0.120002i | \(0.961710\pi\) | |||||||
\(702\) | −1.30902 | + | 0.951057i | −0.0494057 | + | 0.0358953i | ||||
\(703\) | −1.50658 | −0.0568217 | ||||||||
\(704\) | −15.2361 | − | 3.42071i | −0.574231 | − | 0.128923i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.70820 | + | 2.69417i | −0.139560 | + | 0.101396i | ||||
\(707\) | −1.78115 | − | 5.48183i | −0.0669872 | − | 0.206165i | ||||
\(708\) | −5.51064 | + | 16.9600i | −0.207103 | + | 0.637396i | ||||
\(709\) | 32.5344 | + | 23.6377i | 1.22186 | + | 0.887731i | 0.996253 | − | 0.0864884i | \(-0.0275645\pi\) |
0.225604 | + | 0.974219i | \(0.427565\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.39919 | − | 10.4616i | 0.127479 | − | 0.392341i | ||||
\(712\) | 1.71227 | + | 5.26982i | 0.0641700 | + | 0.197495i | ||||
\(713\) | −17.4443 | + | 12.6740i | −0.653293 | + | 0.474645i | ||||
\(714\) | 3.00000 | 0.112272 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 32.3951 | 1.21066 | ||||||||
\(717\) | −2.11803 | + | 1.53884i | −0.0790994 | + | 0.0574691i | ||||
\(718\) | 0.437694 | + | 1.34708i | 0.0163346 | + | 0.0502727i | ||||
\(719\) | 14.3647 | − | 44.2101i | 0.535715 | − | 1.64876i | −0.206385 | − | 0.978471i | \(-0.566170\pi\) |
0.742100 | − | 0.670289i | \(-0.233830\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.61803 | + | 4.08174i | 0.209227 | + | 0.152012i | ||||
\(722\) | −2.15654 | + | 6.63715i | −0.0802582 | + | 0.247009i | ||||
\(723\) | 6.70820 | + | 20.6457i | 0.249481 | + | 0.767823i | ||||
\(724\) | 17.2082 | − | 12.5025i | 0.639538 | − | 0.464651i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.88197 | − | 3.05744i | 0.106960 | − | 0.113472i | ||||
\(727\) | 15.8541 | 0.587996 | 0.293998 | − | 0.955806i | \(-0.405014\pi\) | ||||
0.293998 | + | 0.955806i | \(0.405014\pi\) | |||||||
\(728\) | 5.04508 | − | 3.66547i | 0.186983 | − | 0.135851i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 42.6246 | + | 30.9686i | 1.57653 | + | 1.14541i | ||||
\(732\) | 12.8435 | + | 9.33132i | 0.474708 | + | 0.344895i | ||||
\(733\) | 15.3262 | − | 47.1693i | 0.566088 | − | 1.74224i | −0.0986105 | − | 0.995126i | \(-0.531440\pi\) |
0.664698 | − | 0.747112i | \(-0.268560\pi\) | |||||||
\(734\) | −3.40576 | − | 10.4819i | −0.125709 | − | 0.386893i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.5623 | 0.647355 | ||||||||
\(737\) | −10.6353 | − | 12.0862i | −0.391755 | − | 0.445202i | ||||
\(738\) | −1.61803 | −0.0595607 | ||||||||
\(739\) | −2.42705 | + | 1.76336i | −0.0892805 | + | 0.0648661i | −0.631530 | − | 0.775351i | \(-0.717573\pi\) |
0.542250 | + | 0.840218i | \(0.317573\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.11803 | + | 3.44095i | −0.0410720 | + | 0.126407i | ||||
\(742\) | −0.809017 | − | 0.587785i | −0.0296999 | − | 0.0215783i | ||||
\(743\) | −5.75329 | − | 4.18001i | −0.211068 | − | 0.153350i | 0.477229 | − | 0.878779i | \(-0.341641\pi\) |
−0.688297 | + | 0.725429i | \(0.741641\pi\) | |||||||
\(744\) | −2.31559 | + | 7.12667i | −0.0848938 | + | 0.261276i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −10.7812 | + | 7.83297i | −0.394726 | + | 0.286785i | ||||
\(747\) | 7.47214 | 0.273391 | ||||||||
\(748\) | −47.1246 | − | 10.5801i | −1.72305 | − | 0.386848i | ||||
\(749\) | 2.52786 | 0.0923661 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.06231 | + | 21.7355i | 0.257707 | + | 0.793141i | 0.993284 | + | 0.115700i | \(0.0369111\pi\) |
−0.735577 | + | 0.677441i | \(0.763089\pi\) | |||||||
\(752\) | −1.05979 | + | 3.26171i | −0.0386467 | + | 0.118942i | ||||
\(753\) | −20.2082 | − | 14.6821i | −0.736428 | − | 0.535046i | ||||
\(754\) | 7.85410 | + | 5.70634i | 0.286030 | + | 0.207813i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.572949 | − | 1.76336i | −0.0208380 | − | 0.0641326i | ||||
\(757\) | 4.04508 | − | 2.93893i | 0.147021 | − | 0.106817i | −0.511843 | − | 0.859079i | \(-0.671037\pi\) |
0.658864 | + | 0.752262i | \(0.271037\pi\) | |||||||
\(758\) | 4.15905 | 0.151064 | ||||||||
\(759\) | 7.16312 | − | 12.0862i | 0.260005 | − | 0.438702i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.5517 | + | 25.1033i | −1.25250 | + | 0.909992i | −0.998364 | − | 0.0571772i | \(-0.981790\pi\) |
−0.254133 | + | 0.967169i | \(0.581790\pi\) | |||||||
\(762\) | 0.673762 | + | 2.07363i | 0.0244078 | + | 0.0751196i | ||||
\(763\) | −3.70820 | + | 11.4127i | −0.134246 | + | 0.413167i | ||||
\(764\) | −34.7705 | − | 25.2623i | −1.25795 | − | 0.913956i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.0835921 | + | 0.257270i | −0.00302031 | + | 0.00929555i | ||||
\(767\) | 12.5902 | + | 38.7486i | 0.454605 | + | 1.39913i | ||||
\(768\) | −4.50000 | + | 3.26944i | −0.162380 | + | 0.117976i | ||||
\(769\) | 3.50658 | 0.126450 | 0.0632252 | − | 0.997999i | \(-0.479861\pi\) | ||||
0.0632252 | + | 0.997999i | \(0.479861\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.7426 | 0.458915 | ||||||||
\(772\) | 14.7812 | − | 10.7391i | 0.531985 | − | 0.386510i | ||||
\(773\) | −1.48936 | − | 4.58377i | −0.0535684 | − | 0.164867i | 0.920693 | − | 0.390287i | \(-0.127624\pi\) |
−0.974262 | + | 0.225421i | \(0.927624\pi\) | |||||||
\(774\) | −0.791796 | + | 2.43690i | −0.0284605 | + | 0.0875925i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −1.36475 | − | 0.991545i | −0.0489915 | − | 0.0355944i | ||||
\(777\) | 0.545085 | − | 1.67760i | 0.0195548 | − | 0.0601835i | ||||
\(778\) | 0.677827 | + | 2.08614i | 0.0243013 | + | 0.0747917i | ||||
\(779\) | −2.92705 | + | 2.12663i | −0.104872 | + | 0.0761943i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.64590 | − | 17.5883i | −0.0588949 | − | 0.629358i | ||||
\(782\) | 12.7082 | 0.454444 | ||||||||
\(783\) | 4.85410 | − | 3.52671i | 0.173471 | − | 0.126034i | ||||
\(784\) | −5.83282 | − | 17.9516i | −0.208315 | − | 0.641127i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −3.95492 | − | 2.87341i | −0.141067 | − | 0.102491i | ||||
\(787\) | 3.00000 | + | 2.17963i | 0.106938 | + | 0.0776953i | 0.639969 | − | 0.768400i | \(-0.278947\pi\) |
−0.533031 | + | 0.846096i | \(0.678947\pi\) | |||||||
\(788\) | −9.18692 | + | 28.2744i | −0.327270 | + | 1.00723i | ||||
\(789\) | −5.64590 | − | 17.3763i | −0.200999 | − | 0.618612i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.52786 | −0.160992 | ||||||||
\(792\) | −0.454915 | − | 4.86128i | −0.0161647 | − | 0.172738i | ||||
\(793\) | 36.2705 | 1.28800 | ||||||||
\(794\) | −1.63525 | + | 1.18808i | −0.0580330 | + | 0.0421635i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.84346 | − | 11.8290i | 0.136228 | − | 0.419266i | ||||
\(797\) | −39.2705 | − | 28.5317i | −1.39103 | − | 1.01064i | −0.995751 | − | 0.0920845i | \(-0.970647\pi\) |
−0.395282 | − | 0.918560i | \(-0.629353\pi\) | |||||||
\(798\) | 0.263932 | + | 0.191758i | 0.00934309 | + | 0.00678815i | ||||
\(799\) | −2.64590 | + | 8.14324i | −0.0936051 | + | 0.288087i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.04508 | − | 2.21238i | 0.107593 | − | 0.0781707i | ||||
\(802\) | 10.9574 | 0.386920 | ||||||||
\(803\) | 23.4721 | − | 10.1311i | 0.828314 | − | 0.357519i | ||||
\(804\) | −9.00000 | −0.317406 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.54508 | + | 7.83297i | 0.0896468 | + | 0.275904i | ||||
\(807\) | 0.437694 | − | 1.34708i | 0.0154076 | − | 0.0474196i | ||||
\(808\) | −6.86475 | − | 4.98753i | −0.241501 | − | 0.175461i | ||||
\(809\) | −12.8713 | − | 9.35156i | −0.452532 | − | 0.328783i | 0.338063 | − | 0.941124i | \(-0.390228\pi\) |
−0.790594 | + | 0.612340i | \(0.790228\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.07953 | + | 15.6332i | 0.178366 | + | 0.548955i | 0.999771 | − | 0.0213905i | \(-0.00680931\pi\) |
−0.821405 | + | 0.570346i | \(0.806809\pi\) | |||||||
\(812\) | −9.00000 | + | 6.53888i | −0.315838 | + | 0.229470i | ||||
\(813\) | 16.3820 | 0.574541 | ||||||||
\(814\) | 1.13932 | − | 1.92236i | 0.0399332 | − | 0.0673786i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −19.9894 | + | 14.5231i | −0.699767 | + | 0.508411i | ||||
\(817\) | 1.77051 | + | 5.44907i | 0.0619423 | + | 0.190639i | ||||
\(818\) | 0.291796 | − | 0.898056i | 0.0102024 | − | 0.0313998i | ||||
\(819\) | −3.42705 | − | 2.48990i | −0.119751 | − | 0.0870041i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.65654 | + | 8.17599i | −0.0927139 | + | 0.285344i | −0.986651 | − | 0.162848i | \(-0.947932\pi\) |
0.893937 | + | 0.448192i | \(0.147932\pi\) | |||||||
\(822\) | −1.68034 | − | 5.17155i | −0.0586086 | − | 0.180379i | ||||
\(823\) | 20.8992 | − | 15.1841i | 0.728500 | − | 0.529286i | −0.160589 | − | 0.987021i | \(-0.551339\pi\) |
0.889089 | + | 0.457735i | \(0.151339\pi\) | |||||||
\(824\) | 10.2229 | 0.356132 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.67376 | 0.127827 | ||||||||
\(827\) | 16.7082 | − | 12.1392i | 0.581001 | − | 0.422122i | −0.258084 | − | 0.966123i | \(-0.583091\pi\) |
0.839085 | + | 0.544000i | \(0.183091\pi\) | |||||||
\(828\) | −2.42705 | − | 7.46969i | −0.0843459 | − | 0.259590i | ||||
\(829\) | 13.1008 | − | 40.3202i | 0.455010 | − | 1.40038i | −0.416113 | − | 0.909313i | \(-0.636608\pi\) |
0.871123 | − | 0.491064i | \(-0.163392\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.9721 | + | 13.0575i | 0.623446 | + | 0.452960i | ||||
\(832\) | −6.16312 | + | 18.9681i | −0.213668 | + | 0.657602i | ||||
\(833\) | −14.5623 | − | 44.8182i | −0.504554 | − | 1.55286i | ||||
\(834\) | 1.71885 | − | 1.24882i | 0.0595188 | − | 0.0432429i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −3.46962 | − | 3.94298i | −0.119999 | − | 0.136371i | ||||
\(837\) | 5.09017 | 0.175942 | ||||||||
\(838\) | 7.55573 | − | 5.48956i | 0.261008 | − | 0.189634i | ||||
\(839\) | 11.0729 | + | 34.0790i | 0.382281 | + | 1.17654i | 0.938434 | + | 0.345459i | \(0.112277\pi\) |
−0.556153 | + | 0.831080i | \(0.687723\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.66312 | − | 4.11450i | −0.195280 | − | 0.141879i | ||||
\(842\) | 8.50000 | + | 6.17561i | 0.292929 | + | 0.212826i | ||||
\(843\) | 9.03444 | − | 27.8052i | 0.311163 | − | 0.957660i | ||||
\(844\) | −0.791796 | − | 2.43690i | −0.0272547 | − | 0.0838815i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.416408 | −0.0143164 | ||||||||
\(847\) | 9.94427 | + | 4.70228i | 0.341689 | + | 0.161572i | ||||
\(848\) | 8.23607 | 0.282828 | ||||||||
\(849\) | 6.23607 | − | 4.53077i | 0.214021 | − | 0.155496i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.30902 | − | 7.10642i | 0.0791521 | − | 0.243605i | ||||
\(852\) | −7.98936 | − | 5.80461i | −0.273711 | − | 0.198863i | ||||
\(853\) | −1.75329 | − | 1.27384i | −0.0600315 | − | 0.0436154i | 0.557365 | − | 0.830268i | \(-0.311812\pi\) |
−0.617396 | + | 0.786652i | \(0.711812\pi\) | |||||||
\(854\) | 1.01064 | − | 3.11044i | 0.0345835 | − | 0.106437i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.01064 | − | 2.18736i | 0.102902 | − | 0.0747624i | ||||
\(857\) | −32.2361 | −1.10116 | −0.550582 | − | 0.834781i | \(-0.685594\pi\) | ||||
−0.550582 | + | 0.834781i | \(0.685594\pi\) | |||||||
\(858\) | −3.54508 | − | 4.02874i | −0.121027 | − | 0.137539i | ||||
\(859\) | −7.58359 | −0.258749 | −0.129374 | − | 0.991596i | \(-0.541297\pi\) | ||||
−0.129374 | + | 0.991596i | \(0.541297\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.30902 | − | 4.02874i | −0.0446112 | − | 0.137299i | ||||
\(862\) | −2.01722 | + | 6.20837i | −0.0687068 | + | 0.211458i | ||||
\(863\) | 29.0344 | + | 21.0948i | 0.988344 | + | 0.718074i | 0.959558 | − | 0.281512i | \(-0.0908358\pi\) |
0.0287861 | + | 0.999586i | \(0.490836\pi\) | |||||||
\(864\) | −3.35410 | − | 2.43690i | −0.114109 | − | 0.0829049i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.22291 | + | 9.91910i | 0.109519 | + | 0.337065i | ||||
\(867\) | −36.1525 | + | 26.2663i | −1.22780 | + | 0.892051i | ||||
\(868\) | −9.43769 | −0.320336 | ||||||||
\(869\) | 35.5967 | + | 7.99197i | 1.20754 | + | 0.271109i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.6353 | + | 12.0862i | −0.563664 | + | 0.409526i | ||||
\(872\) | 5.45898 | + | 16.8010i | 0.184864 | + | 0.568954i | ||||
\(873\) | −0.354102 | + | 1.08981i | −0.0119845 | + | 0.0368846i | ||||
\(874\) | 1.11803 | + | 0.812299i | 0.0378181 | + | 0.0274764i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.41641 | − | 13.5923i | 0.149217 | − | 0.459241i | ||||
\(877\) | 12.3779 | + | 38.0953i | 0.417972 | + | 1.28639i | 0.909565 | + | 0.415561i | \(0.136415\pi\) |
−0.491593 | + | 0.870825i | \(0.663585\pi\) | |||||||
\(878\) | −11.3435 | + | 8.24151i | −0.382823 | + | 0.278137i | ||||
\(879\) | −9.65248 | −0.325570 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 30.7984 | 1.03762 | 0.518812 | − | 0.854888i | \(-0.326375\pi\) | ||||
0.518812 | + | 0.854888i | \(0.326375\pi\) | |||||||
\(882\) | 1.85410 | − | 1.34708i | 0.0624309 | − | 0.0453587i | ||||
\(883\) | −5.85410 | − | 18.0171i | −0.197006 | − | 0.606323i | −0.999947 | − | 0.0102644i | \(-0.996733\pi\) |
0.802941 | − | 0.596058i | \(-0.203267\pi\) | |||||||
\(884\) | −19.0623 | + | 58.6677i | −0.641135 | + | 1.97321i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.43769 | + | 3.95072i | 0.182683 | + | 0.132727i | ||||
\(887\) | −9.42047 | + | 28.9932i | −0.316309 | + | 0.973498i | 0.658904 | + | 0.752227i | \(0.271020\pi\) |
−0.975212 | + | 0.221270i | \(0.928980\pi\) | |||||||
\(888\) | −0.802439 | − | 2.46965i | −0.0269281 | − | 0.0828762i | ||||
\(889\) | −4.61803 | + | 3.35520i | −0.154884 | + | 0.112530i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.04508 | + | 1.31433i | −0.102014 | + | 0.0440316i | ||||
\(892\) | −28.1459 | −0.942394 | ||||||||
\(893\) | −0.753289 | + | 0.547296i | −0.0252079 | + | 0.0183146i | ||||
\(894\) | 0.0278640 | + | 0.0857567i | 0.000931913 | + | 0.00286813i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 8.16312 | + | 5.93085i | 0.272711 | + | 0.198136i | ||||
\(897\) | −14.5172 | − | 10.5474i | −0.484716 | − | 0.352167i | ||||
\(898\) | −3.18034 | + | 9.78808i | −0.106129 | + | 0.326632i | ||||
\(899\) | −9.43769 | − | 29.0462i | −0.314765 | − | 0.968746i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.5623 | 0.685030 | ||||||||
\(902\) | −0.500000 | − | 5.34307i | −0.0166482 | − | 0.177905i | ||||
\(903\) | −6.70820 | −0.223235 | ||||||||
\(904\) | −5.39261 | + | 3.91796i | −0.179356 | + | 0.130309i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 2.23607 | − | 6.88191i | 0.0742884 | − | 0.228636i | ||||
\(907\) | 25.3992 | + | 18.4536i | 0.843366 | + | 0.612741i | 0.923309 | − | 0.384058i | \(-0.125474\pi\) |
−0.0799428 | + | 0.996799i | \(0.525474\pi\) | |||||||
\(908\) | 13.7705 | + | 10.0049i | 0.456990 | + | 0.332023i | ||||
\(909\) | −1.78115 | + | 5.48183i | −0.0590771 | + | 0.181821i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8.57295 | − | 6.22861i | 0.284034 | − | 0.206363i | −0.436641 | − | 0.899636i | \(-0.643832\pi\) |
0.720675 | + | 0.693273i | \(0.243832\pi\) | |||||||
\(912\) | −2.68692 | −0.0889727 | ||||||||
\(913\) | 2.30902 | + | 24.6745i | 0.0764173 | + | 0.816606i | ||||
\(914\) | 8.77709 | 0.290320 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.85410 | + | 14.9394i | 0.160384 | + | 0.493611i | ||||
\(917\) | 3.95492 | − | 12.1720i | 0.130603 | − | 0.401954i | ||||
\(918\) | −2.42705 | − | 1.76336i | −0.0801046 | − | 0.0581994i | ||||
\(919\) | 4.57295 | + | 3.32244i | 0.150848 | + | 0.109597i | 0.660649 | − | 0.750695i | \(-0.270281\pi\) |
−0.509801 | + | 0.860292i | \(0.670281\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.86475 | + | 18.0498i | 0.193250 | + | 0.594762i | ||||
\(922\) | 7.50000 | − | 5.44907i | 0.246999 | − | 0.179456i | ||||
\(923\) | −22.5623 | −0.742647 | ||||||||
\(924\) | 5.64590 | − | 2.43690i | 0.185736 | − | 0.0801680i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 10.8992 | − | 7.91872i | 0.358170 | − | 0.260225i | ||||
\(927\) | −2.14590 | − | 6.60440i | −0.0704805 | − | 0.216917i | ||||
\(928\) | −7.68692 | + | 23.6579i | −0.252335 | + | 0.776609i | ||||
\(929\) | −0.572949 | − | 0.416272i | −0.0187978 | − | 0.0136574i | 0.578347 | − | 0.815791i | \(-0.303698\pi\) |
−0.597145 | + | 0.802134i | \(0.703698\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.58359 | − | 4.87380i | 0.0519001 | − | 0.159732i | ||||
\(932\) | −6.21885 | − | 19.1396i | −0.203705 | − | 0.626940i | ||||
\(933\) | 15.8992 | − | 11.5514i | 0.520516 | − | 0.378177i | ||||
\(934\) | 5.68692 | 0.186082 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −6.23607 | −0.203832 | ||||||||
\(937\) | 8.37132 | − | 6.08212i | 0.273479 | − | 0.198694i | −0.442589 | − | 0.896725i | \(-0.645940\pi\) |
0.716068 | + | 0.698030i | \(0.245940\pi\) | |||||||
\(938\) | 0.572949 | + | 1.76336i | 0.0187074 | + | 0.0575756i | ||||
\(939\) | 3.54508 | − | 10.9106i | 0.115689 | − | 0.356056i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.5344 | − | 24.3642i | −1.09319 | − | 0.794250i | −0.113256 | − | 0.993566i | \(-0.536128\pi\) |
−0.979935 | + | 0.199316i | \(0.936128\pi\) | |||||||
\(942\) | −0.270510 | + | 0.832544i | −0.00881369 | + | 0.0271257i | ||||
\(943\) | −5.54508 | − | 17.0660i | −0.180573 | − | 0.555746i | ||||
\(944\) | −24.4787 | + | 17.7848i | −0.796714 | + | 0.578847i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.29180 | − | 1.86162i | −0.269590 | − | 0.0605266i | ||||
\(947\) | −41.3951 | −1.34516 | −0.672580 | − | 0.740024i | \(-0.734814\pi\) | ||||
−0.672580 | + | 0.740024i | \(0.734814\pi\) | |||||||
\(948\) | 16.5000 | − | 11.9880i | 0.535895 | − | 0.389351i | ||||
\(949\) | −10.0902 | − | 31.0543i | −0.327541 | − | 1.00807i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −23.6074 | − | 17.1518i | −0.765522 | − | 0.556184i | ||||
\(952\) | 9.35410 | + | 6.79615i | 0.303168 | + | 0.220265i | ||||
\(953\) | −13.1803 | + | 40.5649i | −0.426953 | + | 1.31403i | 0.474159 | + | 0.880439i | \(0.342752\pi\) |
−0.901112 | + | 0.433587i | \(0.857248\pi\) | |||||||
\(954\) | 0.309017 | + | 0.951057i | 0.0100048 | + | 0.0307916i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −4.85410 | −0.156993 | ||||||||
\(957\) | 13.1459 | + | 14.9394i | 0.424947 | + | 0.482922i | ||||
\(958\) | −11.6950 | −0.377850 | ||||||||
\(959\) | 11.5172 | − | 8.36775i | 0.371910 | − | 0.270209i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.57295 | + | 4.84104i | −0.0507403 | + | 0.156163i | ||||
\(962\) | −2.30902 | − | 1.67760i | −0.0744457 | − | 0.0540880i | ||||
\(963\) | −2.04508 | − | 1.48584i | −0.0659019 | − | 0.0478806i | ||||
\(964\) | −12.4377 | + | 38.2793i | −0.400591 | + | 1.23289i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.30902 | + | 0.951057i | −0.0421169 | + | 0.0305997i | ||||
\(967\) | 20.9230 | 0.672838 | 0.336419 | − | 0.941712i | \(-0.390784\pi\) | ||||
0.336419 | + | 0.941712i | \(0.390784\pi\) | |||||||
\(968\) | 15.9123 | − | 3.00444i | 0.511442 | − | 0.0965663i | ||||
\(969\) | −6.70820 | −0.215499 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −12.9787 | − | 39.9444i | −0.416507 | − | 1.28188i | −0.910896 | − | 0.412635i | \(-0.864608\pi\) |
0.494389 | − | 0.869240i | \(-0.335392\pi\) | |||||||
\(972\) | −0.572949 | + | 1.76336i | −0.0183773 | + | 0.0565597i | ||||
\(973\) | 4.50000 | + | 3.26944i | 0.144263 | + | 0.104813i | ||||
\(974\) | 0.218847 | + | 0.159002i | 0.00701231 | + | 0.00509474i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.32373 | + | 25.6178i | 0.266436 | + | 0.820006i | ||||
\(977\) | 39.3156 | − | 28.5645i | 1.25782 | − | 0.913858i | 0.259169 | − | 0.965832i | \(-0.416551\pi\) |
0.998648 | + | 0.0519742i | \(0.0165514\pi\) | |||||||
\(978\) | 4.52786 | 0.144785 | ||||||||
\(979\) | 8.24671 | + | 9.37181i | 0.263566 | + | 0.299524i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.70820 | − | 7.05342i | 0.309959 | − | 0.225198i | ||||
\(982\) | −3.43363 | − | 10.5676i | −0.109571 | − | 0.337226i | ||||
\(983\) | 13.5623 | − | 41.7405i | 0.432570 | − | 1.33131i | −0.462986 | − | 0.886366i | \(-0.653222\pi\) |
0.895556 | − | 0.444949i | \(-0.146778\pi\) | |||||||
\(984\) | −5.04508 | − | 3.66547i | −0.160831 | − | 0.116851i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −5.56231 | + | 17.1190i | −0.177140 | + | 0.545181i | ||||
\(987\) | −0.336881 | − | 1.03681i | −0.0107230 | − | 0.0330021i | ||||
\(988\) | −5.42705 | + | 3.94298i | −0.172657 | + | 0.125443i | ||||
\(989\) | −28.4164 | −0.903589 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.7426 | −1.23070 | −0.615350 | − | 0.788254i | \(-0.710985\pi\) | ||||
−0.615350 | + | 0.788254i | \(0.710985\pi\) | |||||||
\(992\) | −17.0729 | + | 12.4042i | −0.542067 | + | 0.393834i | ||||
\(993\) | 1.01722 | + | 3.13068i | 0.0322805 | + | 0.0993493i | ||||
\(994\) | −0.628677 | + | 1.93487i | −0.0199404 | + | 0.0613703i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 11.2082 | + | 8.14324i | 0.355146 | + | 0.258028i | ||||
\(997\) | 14.1525 | − | 43.5568i | 0.448213 | − | 1.37946i | −0.430708 | − | 0.902492i | \(-0.641736\pi\) |
0.878921 | − | 0.476967i | \(-0.158264\pi\) | |||||||
\(998\) | −2.93363 | − | 9.02878i | −0.0928624 | − | 0.285801i | ||||
\(999\) | −1.42705 | + | 1.03681i | −0.0451499 | + | 0.0328033i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))