Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,2,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([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("33.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (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: | \(0.263506326670\) |
Analytic rank: | \(0\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.4 |
Dual form | 33.2.e.b.25.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.224514i | 0.218508 | + | 0.158755i | 0.691655 | − | 0.722228i | \(-0.256882\pi\) |
−0.473147 | + | 0.880984i | \(0.656882\pi\) | |||||||
\(3\) | −0.309017 | + | 0.951057i | −0.178411 | + | 0.549093i | ||||
\(4\) | −0.572949 | − | 1.76336i | −0.286475 | − | 0.881678i | ||||
\(5\) | −1.30902 | + | 0.951057i | −0.585410 | + | 0.425325i | −0.840670 | − | 0.541547i | \(-0.817839\pi\) |
0.255260 | + | 0.966872i | \(0.417839\pi\) | |||||||
\(6\) | −0.309017 | + | 0.224514i | −0.126156 | + | 0.0916575i | ||||
\(7\) | −0.309017 | − | 0.951057i | −0.116797 | − | 0.359466i | 0.875520 | − | 0.483181i | \(-0.160519\pi\) |
−0.992318 | + | 0.123716i | \(0.960519\pi\) | |||||||
\(8\) | 0.454915 | − | 1.40008i | 0.160837 | − | 0.495005i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | −0.618034 | −0.195440 | ||||||||
\(11\) | −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 | \(-0.100137\pi\) |
−0.000430477 | 1.00000i | \(0.500137\pi\) | ||||||||
\(14\) | 0.118034 | − | 0.363271i | 0.0315459 | − | 0.0970883i | ||||
\(15\) | −0.500000 | − | 1.53884i | −0.129099 | − | 0.397327i | ||||
\(16\) | −2.54508 | + | 1.84911i | −0.636271 | + | 0.462278i | ||||
\(17\) | 6.35410 | − | 4.61653i | 1.54110 | − | 1.11967i | 0.591452 | − | 0.806340i | \(-0.298555\pi\) |
0.949644 | − | 0.313332i | \(-0.101445\pi\) | |||||||
\(18\) | −0.118034 | − | 0.363271i | −0.0278209 | − | 0.0856239i | ||||
\(19\) | −0.263932 | + | 0.812299i | −0.0605502 | + | 0.186354i | −0.976756 | − | 0.214353i | \(-0.931236\pi\) |
0.916206 | + | 0.400707i | \(0.131236\pi\) | |||||||
\(20\) | 2.42705 | + | 1.76336i | 0.542705 | + | 0.394298i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | −1.23607 | + | 0.277515i | −0.263531 | + | 0.0591663i | ||||
\(23\) | −4.23607 | −0.883281 | −0.441641 | − | 0.897192i | \(-0.645603\pi\) | ||||
−0.441641 | + | 0.897192i | \(0.645603\pi\) | |||||||
\(24\) | 1.19098 | + | 0.865300i | 0.243108 | + | 0.176629i | ||||
\(25\) | −0.736068 | + | 2.26538i | −0.147214 | + | 0.453077i | ||||
\(26\) | 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 | −0.961958 | − | 0.273196i | \(-0.911919\pi\) |
0.617660 | − | 0.786445i | \(-0.288081\pi\) | |||||||
\(30\) | 0.190983 | − | 0.587785i | 0.0348686 | − | 0.107314i | ||||
\(31\) | −4.11803 | − | 2.99193i | −0.739621 | − | 0.537366i | 0.152972 | − | 0.988231i | \(-0.451116\pi\) |
−0.892592 | + | 0.450865i | \(0.851116\pi\) | |||||||
\(32\) | −4.14590 | −0.732898 | ||||||||
\(33\) | −1.69098 | − | 2.85317i | −0.294362 | − | 0.496673i | ||||
\(34\) | 3.00000 | 0.514496 | ||||||||
\(35\) | 1.30902 | + | 0.951057i | 0.221264 | + | 0.160758i | ||||
\(36\) | −0.572949 | + | 1.76336i | −0.0954915 | + | 0.293893i | ||||
\(37\) | −0.545085 | − | 1.67760i | −0.0896114 | − | 0.275796i | 0.896201 | − | 0.443649i | \(-0.146316\pi\) |
−0.985812 | + | 0.167854i | \(0.946316\pi\) | |||||||
\(38\) | −0.263932 | + | 0.191758i | −0.0428154 | + | 0.0311072i | ||||
\(39\) | −3.42705 | + | 2.48990i | −0.548767 | + | 0.398703i | ||||
\(40\) | 0.736068 | + | 2.26538i | 0.116383 | + | 0.358189i | ||||
\(41\) | −1.30902 | + | 4.02874i | −0.204434 | + | 0.629183i | 0.795302 | + | 0.606213i | \(0.207312\pi\) |
−0.999736 | + | 0.0229701i | \(0.992688\pi\) | |||||||
\(42\) | 0.309017 | + | 0.224514i | 0.0476824 | + | 0.0346433i | ||||
\(43\) | 6.70820 | 1.02299 | 0.511496 | − | 0.859286i | \(-0.329092\pi\) | ||||
0.511496 | + | 0.859286i | \(0.329092\pi\) | |||||||
\(44\) | 5.64590 | + | 2.43690i | 0.851151 | + | 0.367376i | ||||
\(45\) | 1.61803 | 0.241202 | ||||||||
\(46\) | −1.30902 | − | 0.951057i | −0.193004 | − | 0.140226i | ||||
\(47\) | 0.336881 | − | 1.03681i | 0.0491391 | − | 0.151235i | −0.923476 | − | 0.383656i | \(-0.874665\pi\) |
0.972615 | + | 0.232421i | \(0.0746648\pi\) | |||||||
\(48\) | −0.972136 | − | 2.99193i | −0.140316 | − | 0.431847i | ||||
\(49\) | 4.85410 | − | 3.52671i | 0.693443 | − | 0.503816i | ||||
\(50\) | −0.736068 | + | 0.534785i | −0.104096 | + | 0.0756300i | ||||
\(51\) | 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 | \(-0.242453\pi\) |
−0.432738 | + | 0.901520i | \(0.642453\pi\) | |||||||
\(54\) | 0.381966 | 0.0519790 | ||||||||
\(55\) | 0.500000 | − | 5.34307i | 0.0674200 | − | 0.720459i | ||||
\(56\) | −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 | 0.935064 | + | 0.354480i | \(0.115342\pi\) |
−0.548125 | + | 0.836397i | \(0.684658\pi\) | |||||||
\(60\) | −2.42705 | + | 1.76336i | −0.313331 | + | 0.227648i | ||||
\(61\) | −6.92705 | + | 5.03280i | −0.886918 | + | 0.644384i | −0.935073 | − | 0.354456i | \(-0.884666\pi\) |
0.0481546 | + | 0.998840i | \(0.484666\pi\) | |||||||
\(62\) | −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 | ||||
\(65\) | −6.85410 | −0.850147 | ||||||||
\(66\) | 0.118034 | − | 1.26133i | 0.0145290 | − | 0.155259i | ||||
\(67\) | −4.85410 | −0.593023 | −0.296511 | − | 0.955029i | \(-0.595823\pi\) | ||||
−0.296511 | + | 0.955029i | \(0.595823\pi\) | |||||||
\(68\) | −11.7812 | − | 8.55951i | −1.42867 | − | 1.03799i | ||||
\(69\) | 1.30902 | − | 4.02874i | 0.157587 | − | 0.485003i | ||||
\(70\) | 0.190983 | + | 0.587785i | 0.0228268 | + | 0.0702538i | ||||
\(71\) | 4.30902 | − | 3.13068i | 0.511386 | − | 0.371544i | −0.301963 | − | 0.953320i | \(-0.597642\pi\) |
0.813349 | + | 0.581776i | \(0.197642\pi\) | |||||||
\(72\) | −1.19098 | + | 0.865300i | −0.140359 | + | 0.101977i | ||||
\(73\) | 2.38197 | + | 7.33094i | 0.278788 | + | 0.858021i | 0.988192 | + | 0.153219i | \(0.0489641\pi\) |
−0.709404 | + | 0.704802i | \(0.751036\pi\) | |||||||
\(74\) | 0.208204 | − | 0.640786i | 0.0242032 | − | 0.0744898i | ||||
\(75\) | −1.92705 | − | 1.40008i | −0.222517 | − | 0.161668i | ||||
\(76\) | 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 | −0.0388837 | − | 0.999244i | \(-0.512380\pi\) |
−0.962353 | + | 0.271803i | \(0.912380\pi\) | |||||||
\(80\) | 1.57295 | − | 4.84104i | 0.175861 | − | 0.541245i | ||||
\(81\) | 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 | \(-0.565498\pi\) |
0.867855 | + | 0.496818i | \(0.165498\pi\) | |||||||
\(84\) | −0.572949 | − | 1.76336i | −0.0625139 | − | 0.192398i | ||||
\(85\) | −3.92705 | + | 12.0862i | −0.425948 | + | 1.31093i | ||||
\(86\) | 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 | \(0.563928\pi\) | |||||||
\(90\) | 0.500000 | + | 0.363271i | 0.0527046 | + | 0.0382922i | ||||
\(91\) | 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 | ||||
\(95\) | −0.427051 | − | 1.31433i | −0.0438145 | − | 0.134847i | ||||
\(96\) | 1.28115 | − | 3.94298i | 0.130757 | − | 0.402429i | ||||
\(97\) | −0.927051 | − | 0.673542i | −0.0941278 | − | 0.0683878i | 0.539726 | − | 0.841841i | \(-0.318528\pi\) |
−0.633854 | + | 0.773453i | \(0.718528\pi\) | |||||||
\(98\) | 2.29180 | 0.231506 | ||||||||
\(99\) | 3.23607 | − | 0.726543i | 0.325237 | − | 0.0730203i | ||||
\(100\) | 4.41641 | 0.441641 | ||||||||
\(101\) | 4.66312 | + | 3.38795i | 0.463998 | + | 0.337114i | 0.795097 | − | 0.606482i | \(-0.207420\pi\) |
−0.331100 | + | 0.943596i | \(0.607420\pi\) | |||||||
\(102\) | −0.927051 | + | 2.85317i | −0.0917917 | + | 0.282506i | ||||
\(103\) | 2.14590 | + | 6.60440i | 0.211442 | + | 0.650750i | 0.999387 | + | 0.0350054i | \(0.0111448\pi\) |
−0.787946 | + | 0.615745i | \(0.788855\pi\) | |||||||
\(104\) | 5.04508 | − | 3.66547i | 0.494711 | − | 0.359429i | ||||
\(105\) | −1.30902 | + | 0.951057i | −0.127747 | + | 0.0928136i | ||||
\(106\) | 0.309017 | + | 0.951057i | 0.0300144 | + | 0.0923748i | ||||
\(107\) | −0.781153 | + | 2.40414i | −0.0755169 | + | 0.232417i | −0.981689 | − | 0.190493i | \(-0.938991\pi\) |
0.906172 | + | 0.422910i | \(0.138991\pi\) | |||||||
\(108\) | −1.50000 | − | 1.08981i | −0.144338 | − | 0.104867i | ||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 1.35410 | − | 1.53884i | 0.129109 | − | 0.146723i | ||||
\(111\) | 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 | \(-0.831685\pi\) |
0.995050 | + | 0.0993784i | \(0.0316854\pi\) | |||||||
\(114\) | −0.100813 | − | 0.310271i | −0.00944201 | − | 0.0290595i | ||||
\(115\) | 5.54508 | − | 4.02874i | 0.517082 | − | 0.375682i | ||||
\(116\) | −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 | ||||
\(120\) | −2.38197 | −0.217443 | ||||||||
\(121\) | −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 | ||||
\(125\) | −3.69098 | − | 11.3597i | −0.330132 | − | 1.01604i | ||||
\(126\) | −0.309017 | + | 0.224514i | −0.0275294 | + | 0.0200013i | ||||
\(127\) | 4.61803 | − | 3.35520i | 0.409784 | − | 0.297726i | −0.363730 | − | 0.931504i | \(-0.618497\pi\) |
0.773514 | + | 0.633779i | \(0.218497\pi\) | |||||||
\(128\) | 3.11803 | + | 9.59632i | 0.275598 | + | 0.848203i | ||||
\(129\) | −2.07295 | + | 6.37988i | −0.182513 | + | 0.561717i | ||||
\(130\) | −2.11803 | − | 1.53884i | −0.185764 | − | 0.134965i | ||||
\(131\) | 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 | ||||
\(135\) | −0.500000 | + | 1.53884i | −0.0430331 | + | 0.132442i | ||||
\(136\) | −3.57295 | − | 10.9964i | −0.306378 | − | 0.942934i | ||||
\(137\) | −11.5172 | + | 8.36775i | −0.983983 | + | 0.714905i | −0.958595 | − | 0.284772i | \(-0.908082\pi\) |
−0.0253875 | + | 0.999678i | \(0.508082\pi\) | |||||||
\(138\) | 1.30902 | − | 0.951057i | 0.111431 | − | 0.0809593i | ||||
\(139\) | −1.71885 | − | 5.29007i | −0.145791 | − | 0.448698i | 0.851321 | − | 0.524645i | \(-0.175802\pi\) |
−0.997112 | + | 0.0759473i | \(0.975802\pi\) | |||||||
\(140\) | 0.927051 | − | 2.85317i | 0.0783501 | − | 0.241137i | ||||
\(141\) | 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 | ||||||||
\(145\) | 7.85410 | + | 5.70634i | 0.652248 | + | 0.473886i | ||||
\(146\) | −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 | −0.595581 | − | 0.803295i | \(-0.703078\pi\) |
0.579935 | + | 0.814663i | \(0.303078\pi\) | |||||||
\(150\) | −0.281153 | − | 0.865300i | −0.0229560 | − | 0.0706514i | ||||
\(151\) | 5.85410 | − | 18.0171i | 0.476400 | − | 1.46621i | −0.367660 | − | 0.929960i | \(-0.619841\pi\) |
0.844060 | − | 0.536248i | \(-0.180159\pi\) | |||||||
\(152\) | 1.01722 | + | 0.739054i | 0.0825075 | + | 0.0599452i | ||||
\(153\) | −7.85410 | −0.634967 | ||||||||
\(154\) | 0.645898 | + | 1.08981i | 0.0520479 | + | 0.0878197i | ||||
\(155\) | 8.23607 | 0.661537 | ||||||||
\(156\) | 6.35410 | + | 4.61653i | 0.508735 | + | 0.369618i | ||||
\(157\) | 0.708204 | − | 2.17963i | 0.0565208 | − | 0.173953i | −0.918811 | − | 0.394699i | \(-0.870849\pi\) |
0.975331 | + | 0.220745i | \(0.0708490\pi\) | |||||||
\(158\) | −1.29837 | − | 3.99598i | −0.103293 | − | 0.317903i | ||||
\(159\) | −2.11803 | + | 1.53884i | −0.167971 | + | 0.122038i | ||||
\(160\) | 5.42705 | − | 3.94298i | 0.429046 | − | 0.311720i | ||||
\(161\) | 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 | \(-0.146327\pi\) |
−0.145026 | + | 0.989428i | \(0.546327\pi\) | |||||||
\(164\) | 7.85410 | 0.613302 | ||||||||
\(165\) | 4.92705 | + | 2.12663i | 0.383570 | + | 0.165558i | ||||
\(166\) | 2.85410 | 0.221521 | ||||||||
\(167\) | 13.7812 | + | 10.0126i | 1.06642 | + | 0.774798i | 0.975265 | − | 0.221039i | \(-0.0709449\pi\) |
0.0911527 | + | 0.995837i | \(0.470945\pi\) | |||||||
\(168\) | 0.454915 | − | 1.40008i | 0.0350975 | − | 0.108019i | ||||
\(169\) | 1.52786 | + | 4.70228i | 0.117528 | + | 0.361714i | ||||
\(170\) | −3.92705 | + | 2.85317i | −0.301191 | + | 0.218828i | ||||
\(171\) | 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 | −0.733719 | − | 0.679453i | \(-0.762217\pi\) |
0.992964 | − | 0.118420i | \(-0.0377828\pi\) | |||||||
\(174\) | 1.85410 | + | 1.34708i | 0.140559 | + | 0.102122i | ||||
\(175\) | 2.38197 | 0.180060 | ||||||||
\(176\) | 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 | 0.518542 | + | 0.855052i | \(0.326475\pi\) |
−0.922096 | + | 0.386960i | \(0.873525\pi\) | |||||||
\(180\) | −0.927051 | − | 2.85317i | −0.0690983 | − | 0.212663i | ||||
\(181\) | −9.28115 | + | 6.74315i | −0.689863 | + | 0.501215i | −0.876615 | − | 0.481192i | \(-0.840204\pi\) |
0.186752 | + | 0.982407i | \(0.440204\pi\) | |||||||
\(182\) | 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 | ||||
\(185\) | 2.30902 | + | 1.67760i | 0.169762 | + | 0.123340i | ||||
\(186\) | 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 | ||||
\(190\) | 0.163119 | − | 0.502029i | 0.0118339 | − | 0.0364210i | ||||
\(191\) | −7.16312 | − | 22.0458i | −0.518305 | − | 1.59518i | −0.777187 | − | 0.629270i | \(-0.783354\pi\) |
0.258882 | − | 0.965909i | \(-0.416646\pi\) | |||||||
\(192\) | −3.80902 | + | 2.76741i | −0.274892 | + | 0.199721i | ||||
\(193\) | 7.97214 | − | 5.79210i | 0.573847 | − | 0.416924i | −0.262654 | − | 0.964890i | \(-0.584598\pi\) |
0.836501 | + | 0.547966i | \(0.184598\pi\) | |||||||
\(194\) | −0.135255 | − | 0.416272i | −0.00971074 | − | 0.0298866i | ||||
\(195\) | 2.11803 | − | 6.51864i | 0.151676 | − | 0.466809i | ||||
\(196\) | −9.00000 | − | 6.53888i | −0.642857 | − | 0.467063i | ||||
\(197\) | −16.0344 | −1.14241 | −0.571203 | − | 0.820809i | \(-0.693523\pi\) | ||||
−0.571203 | + | 0.820809i | \(0.693523\pi\) | |||||||
\(198\) | 1.16312 | + | 0.502029i | 0.0826593 | + | 0.0356776i | ||||
\(199\) | −6.70820 | −0.475532 | −0.237766 | − | 0.971322i | \(-0.576415\pi\) | ||||
−0.237766 | + | 0.971322i | \(0.576415\pi\) | |||||||
\(200\) | 2.83688 | + | 2.06111i | 0.200598 | + | 0.145743i | ||||
\(201\) | 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 | ||||
\(205\) | −2.11803 | − | 6.51864i | −0.147930 | − | 0.455281i | ||||
\(206\) | −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 | ||||
\(210\) | −0.618034 | −0.0426484 | ||||||||
\(211\) | −1.11803 | − | 0.812299i | −0.0769686 | − | 0.0559210i | 0.548636 | − | 0.836062i | \(-0.315147\pi\) |
−0.625604 | + | 0.780141i | \(0.715147\pi\) | |||||||
\(212\) | 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 | ||||
\(215\) | −8.78115 | + | 6.37988i | −0.598870 | + | 0.435104i | ||||
\(216\) | −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 | ||||||||
\(220\) | −9.70820 | + | 2.17963i | −0.654527 | + | 0.146950i | ||||
\(221\) | 33.2705 | 2.23802 | ||||||||
\(222\) | 0.545085 | + | 0.396027i | 0.0365837 | + | 0.0265796i | ||||
\(223\) | −4.69098 | + | 14.4374i | −0.314131 | + | 0.966797i | 0.661979 | + | 0.749522i | \(0.269717\pi\) |
−0.976110 | + | 0.217275i | \(0.930283\pi\) | |||||||
\(224\) | 1.28115 | + | 3.94298i | 0.0856006 | + | 0.263452i | ||||
\(225\) | 1.92705 | − | 1.40008i | 0.128470 | − | 0.0933390i | ||||
\(226\) | 1.39919 | − | 1.01657i | 0.0930725 | − | 0.0676212i | ||||
\(227\) | −2.83688 | − | 8.73102i | −0.188290 | − | 0.579498i | 0.811699 | − | 0.584076i | \(-0.198543\pi\) |
−0.999990 | + | 0.00457752i | \(0.998543\pi\) | |||||||
\(228\) | −0.489357 | + | 1.50609i | −0.0324085 | + | 0.0997430i | ||||
\(229\) | 6.85410 | + | 4.97980i | 0.452932 | + | 0.329074i | 0.790752 | − | 0.612136i | \(-0.209690\pi\) |
−0.337820 | + | 0.941211i | \(0.609690\pi\) | |||||||
\(230\) | 2.61803 | 0.172628 | ||||||||
\(231\) | −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 | \(-0.184298\pi\) |
−0.261744 | + | 0.965137i | \(0.584298\pi\) | |||||||
\(234\) | 0.500000 | − | 1.53884i | 0.0326860 | − | 0.100597i | ||||
\(235\) | 0.545085 | + | 1.67760i | 0.0355574 | + | 0.109434i | ||||
\(236\) | 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 | −0.921476 | − | 0.388436i | \(-0.873015\pi\) |
0.973807 | + | 0.227378i | \(0.0730154\pi\) | |||||||
\(240\) | 4.11803 | + | 2.99193i | 0.265818 | + | 0.193128i | ||||
\(241\) | 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 | ||||
\(245\) | −3.00000 | + | 9.23305i | −0.191663 | + | 0.589878i | ||||
\(246\) | −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 | ||||
\(250\) | 1.40983 | − | 4.33901i | 0.0891655 | − | 0.274423i | ||||
\(251\) | −20.2082 | − | 14.6821i | −1.27553 | − | 0.926727i | −0.276122 | − | 0.961123i | \(-0.589049\pi\) |
−0.999408 | + | 0.0343954i | \(0.989049\pi\) | |||||||
\(252\) | 1.85410 | 0.116797 | ||||||||
\(253\) | 9.28115 | − | 10.5474i | 0.583501 | − | 0.663108i | ||||
\(254\) | 2.18034 | 0.136807 | ||||||||
\(255\) | −10.2812 | − | 7.46969i | −0.643831 | − | 0.467770i | ||||
\(256\) | 1.71885 | − | 5.29007i | 0.107428 | − | 0.330629i | ||||
\(257\) | −3.93769 | − | 12.1190i | −0.245627 | − | 0.755961i | −0.995533 | − | 0.0944167i | \(-0.969901\pi\) |
0.749906 | − | 0.661544i | \(-0.230099\pi\) | |||||||
\(258\) | −2.07295 | + | 1.50609i | −0.129056 | + | 0.0937648i | ||||
\(259\) | −1.42705 | + | 1.03681i | −0.0886726 | + | 0.0644244i | ||||
\(260\) | 3.92705 | + | 12.0862i | 0.243545 | + | 0.749556i | ||||
\(261\) | −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 | \(-0.309530\pi\) | ||||
0.563304 | + | 0.826250i | \(0.309530\pi\) | |||||||
\(264\) | −4.76393 | + | 1.06957i | −0.293200 | + | 0.0658274i | ||||
\(265\) | −4.23607 | −0.260220 | ||||||||
\(266\) | 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 | −0.622170 | − | 0.782882i | \(-0.713749\pi\) |
0.552304 | + | 0.833643i | \(0.313749\pi\) | |||||||
\(270\) | −0.500000 | + | 0.363271i | −0.0304290 | + | 0.0221080i | ||||
\(271\) | 5.06231 | + | 15.5802i | 0.307513 | + | 0.946428i | 0.978727 | + | 0.205165i | \(0.0657731\pi\) |
−0.671214 | + | 0.741263i | \(0.734227\pi\) | |||||||
\(272\) | −7.63525 | + | 23.4989i | −0.462955 | + | 1.42483i | ||||
\(273\) | 3.42705 | + | 2.48990i | 0.207415 | + | 0.150695i | ||||
\(274\) | −5.43769 | −0.328503 | ||||||||
\(275\) | −4.02786 | − | 6.79615i | −0.242889 | − | 0.409823i | ||||
\(276\) | −7.85410 | −0.472761 | ||||||||
\(277\) | −17.9721 | − | 13.0575i | −1.07984 | − | 0.784550i | −0.102186 | − | 0.994765i | \(-0.532584\pi\) |
−0.977655 | + | 0.210215i | \(0.932584\pi\) | |||||||
\(278\) | 0.656541 | − | 2.02063i | 0.0393767 | − | 0.121189i | ||||
\(279\) | 1.57295 | + | 4.84104i | 0.0941700 | + | 0.289825i | ||||
\(280\) | 1.92705 | − | 1.40008i | 0.115163 | − | 0.0836711i | ||||
\(281\) | −23.6525 | + | 17.1845i | −1.41099 | + | 1.02514i | −0.417811 | + | 0.908534i | \(0.637202\pi\) |
−0.993178 | + | 0.116609i | \(0.962798\pi\) | |||||||
\(282\) | 0.128677 | + | 0.396027i | 0.00766261 | + | 0.0235831i | ||||
\(283\) | 2.38197 | − | 7.33094i | 0.141593 | − | 0.435779i | −0.854964 | − | 0.518687i | \(-0.826421\pi\) |
0.996557 | + | 0.0829083i | \(0.0264209\pi\) | |||||||
\(284\) | −7.98936 | − | 5.80461i | −0.474081 | − | 0.344440i | ||||
\(285\) | 1.38197 | 0.0818606 | ||||||||
\(286\) | −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 | ||||
\(290\) | 1.14590 | + | 3.52671i | 0.0672894 | + | 0.207096i | ||||
\(291\) | 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 | \(-0.00901816\pi\) |
−0.825343 | + | 0.564632i | \(0.809018\pi\) | |||||||
\(294\) | −0.708204 | + | 2.17963i | −0.0413033 | + | 0.127118i | ||||
\(295\) | −12.5902 | − | 9.14729i | −0.733028 | − | 0.532576i | ||||
\(296\) | −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 | ||||
\(300\) | −1.36475 | + | 4.20025i | −0.0787936 | + | 0.242502i | ||||
\(301\) | −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 | ||||
\(305\) | 4.28115 | − | 13.1760i | 0.245138 | − | 0.754458i | ||||
\(306\) | −2.42705 | − | 1.76336i | −0.138745 | − | 0.100804i | ||||
\(307\) | −18.9787 | −1.08317 | −0.541586 | − | 0.840645i | \(-0.682176\pi\) | ||||
−0.541586 | + | 0.840645i | \(0.682176\pi\) | |||||||
\(308\) | 0.572949 | − | 6.12261i | 0.0326468 | − | 0.348868i | ||||
\(309\) | −6.94427 | −0.395046 | ||||||||
\(310\) | 2.54508 | + | 1.84911i | 0.144551 | + | 0.105023i | ||||
\(311\) | −6.07295 | + | 18.6906i | −0.344365 | + | 1.05985i | 0.617557 | + | 0.786526i | \(0.288122\pi\) |
−0.961923 | + | 0.273322i | \(0.911878\pi\) | |||||||
\(312\) | 1.92705 | + | 5.93085i | 0.109098 | + | 0.335768i | ||||
\(313\) | 9.28115 | − | 6.74315i | 0.524602 | − | 0.381146i | −0.293733 | − | 0.955888i | \(-0.594898\pi\) |
0.818335 | + | 0.574742i | \(0.194898\pi\) | |||||||
\(314\) | 0.708204 | − | 0.514540i | 0.0399663 | − | 0.0290372i | ||||
\(315\) | −0.500000 | − | 1.53884i | −0.0281718 | − | 0.0867039i | ||||
\(316\) | −6.30244 | + | 19.3969i | −0.354540 | + | 1.09116i | ||||
\(317\) | 23.6074 | + | 17.1518i | 1.32592 | + | 0.963340i | 0.999838 | + | 0.0179992i | \(0.00572963\pi\) |
0.326085 | + | 0.945340i | \(0.394270\pi\) | |||||||
\(318\) | −1.00000 | −0.0560772 | ||||||||
\(319\) | 18.2705 | + | 7.88597i | 1.02295 | + | 0.441529i | ||||
\(320\) | −7.61803 | −0.425861 | ||||||||
\(321\) | −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 | ||||
\(325\) | −8.16312 | + | 5.93085i | −0.452808 | + | 0.328985i | ||||
\(326\) | 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 | ||||||||
\(330\) | 1.04508 | + | 1.76336i | 0.0575300 | + | 0.0970695i | ||||
\(331\) | 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 | ||||
\(335\) | 6.35410 | − | 4.61653i | 0.347162 | − | 0.252228i | ||||
\(336\) | −2.54508 | + | 1.84911i | −0.138846 | + | 0.100877i | ||||
\(337\) | 1.29180 | + | 3.97574i | 0.0703686 | + | 0.216572i | 0.980056 | − | 0.198721i | \(-0.0636788\pi\) |
−0.909687 | + | 0.415294i | \(0.863679\pi\) | |||||||
\(338\) | −0.583592 | + | 1.79611i | −0.0317432 | + | 0.0976956i | ||||
\(339\) | 3.66312 | + | 2.66141i | 0.198953 | + | 0.144548i | ||||
\(340\) | 23.5623 | 1.27785 | ||||||||
\(341\) | 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 | ||||
\(345\) | 2.11803 | + | 6.51864i | 0.114031 | + | 0.350952i | ||||
\(346\) | 3.40983 | − | 2.47739i | 0.183314 | − | 0.133185i | ||||
\(347\) | 8.47214 | − | 6.15537i | 0.454808 | − | 0.330437i | −0.336683 | − | 0.941618i | \(-0.609305\pi\) |
0.791491 | + | 0.611181i | \(0.209305\pi\) | |||||||
\(348\) | −3.43769 | − | 10.5801i | −0.184280 | − | 0.567155i | ||||
\(349\) | −0.218847 | + | 0.673542i | −0.0117146 | + | 0.0360539i | −0.956743 | − | 0.290935i | \(-0.906034\pi\) |
0.945028 | + | 0.326988i | \(0.106034\pi\) | |||||||
\(350\) | 0.736068 | + | 0.534785i | 0.0393445 | + | 0.0285854i | ||||
\(351\) | 4.23607 | 0.226105 | ||||||||
\(352\) | 9.08359 | − | 10.3229i | 0.484157 | − | 0.550211i | ||||
\(353\) | −12.0000 | −0.638696 | −0.319348 | − | 0.947638i | \(-0.603464\pi\) | ||||
−0.319348 | + | 0.947638i | \(0.603464\pi\) | |||||||
\(354\) | −2.97214 | − | 2.15938i | −0.157967 | − | 0.114770i | ||||
\(355\) | −2.66312 | + | 8.19624i | −0.141344 | + | 0.435011i | ||||
\(356\) | 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 | 0.976731 | − | 0.214468i | \(-0.0688016\pi\) |
−0.916253 | + | 0.400600i | \(0.868802\pi\) | |||||||
\(360\) | 0.736068 | − | 2.26538i | 0.0387942 | − | 0.119396i | ||||
\(361\) | 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 | ||||||||
\(365\) | −10.0902 | − | 7.33094i | −0.528144 | − | 0.383719i | ||||
\(366\) | 1.01064 | − | 3.11044i | 0.0528272 | − | 0.162585i | ||||
\(367\) | 8.91641 | + | 27.4419i | 0.465433 | + | 1.43245i | 0.858438 | + | 0.512918i | \(0.171436\pi\) |
−0.393005 | + | 0.919536i | \(0.628564\pi\) | |||||||
\(368\) | 10.7812 | − | 7.83297i | 0.562006 | − | 0.408322i | ||||
\(369\) | 3.42705 | − | 2.48990i | 0.178405 | − | 0.129619i | ||||
\(370\) | 0.336881 | + | 1.03681i | 0.0175136 | + | 0.0539014i | ||||
\(371\) | 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 | \(-0.858811\pi\) | ||||
−0.903230 | + | 0.429156i | \(0.858811\pi\) | |||||||
\(374\) | −6.57295 | + | 7.46969i | −0.339879 | + | 0.386249i | ||||
\(375\) | 11.9443 | 0.616800 | ||||||||
\(376\) | −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 | −0.790578 | − | 0.612362i | \(-0.790220\pi\) |
0.338089 | + | 0.941114i | \(0.390220\pi\) | |||||||
\(380\) | −2.07295 | + | 1.50609i | −0.106340 | + | 0.0772606i | ||||
\(381\) | 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 | \(-0.305760\pi\) |
−0.602327 | + | 0.798249i | \(0.705760\pi\) | |||||||
\(384\) | −10.0902 | −0.514912 | ||||||||
\(385\) | −5.23607 | + | 1.17557i | −0.266855 | + | 0.0599126i | ||||
\(386\) | 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 | 0.985911 | − | 0.167268i | \(-0.0534946\pi\) |
−0.895937 | + | 0.444181i | \(0.853495\pi\) | |||||||
\(390\) | 2.11803 | − | 1.53884i | 0.107251 | − | 0.0779223i | ||||
\(391\) | −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 | ||||
\(395\) | 17.7984 | 0.895533 | ||||||||
\(396\) | −3.13525 | − | 5.29007i | −0.157552 | − | 0.265836i | ||||
\(397\) | −5.29180 | −0.265588 | −0.132794 | − | 0.991144i | \(-0.542395\pi\) | ||||
−0.132794 | + | 0.991144i | \(0.542395\pi\) | |||||||
\(398\) | −2.07295 | − | 1.50609i | −0.103908 | − | 0.0754933i | ||||
\(399\) | −0.263932 | + | 0.812299i | −0.0132131 | + | 0.0406658i | ||||
\(400\) | −2.31559 | − | 7.12667i | −0.115780 | − | 0.356333i | ||||
\(401\) | −23.2082 | + | 16.8617i | −1.15896 | + | 0.842035i | −0.989646 | − | 0.143526i | \(-0.954156\pi\) |
−0.169316 | + | 0.985562i | \(0.554156\pi\) | |||||||
\(402\) | 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 | ||||
\(405\) | −1.30902 | − | 0.951057i | −0.0650456 | − | 0.0472584i | ||||
\(406\) | −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 | 0.537240 | − | 0.843430i | \(-0.319467\pi\) |
−0.636133 | + | 0.771579i | \(0.719467\pi\) | |||||||
\(410\) | 0.809017 | − | 2.48990i | 0.0399545 | − | 0.122967i | ||||
\(411\) | −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 | ||||
\(415\) | −3.73607 | + | 11.4984i | −0.183396 | + | 0.564436i | ||||
\(416\) | −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 | \(0.703740\pi\) | |||||||
\(420\) | 2.42705 | + | 1.76336i | 0.118428 | + | 0.0860430i | ||||
\(421\) | −8.50000 | + | 26.1603i | −0.414265 | + | 1.27498i | 0.498642 | + | 0.866808i | \(0.333832\pi\) |
−0.912907 | + | 0.408168i | \(0.866168\pi\) | |||||||
\(422\) | −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 | ||||
\(425\) | 5.78115 | + | 17.7926i | 0.280427 | + | 0.863066i | ||||
\(426\) | −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 | ||||
\(430\) | −4.14590 | −0.199933 | ||||||||
\(431\) | 13.8262 | + | 10.0453i | 0.665986 | + | 0.483867i | 0.868679 | − | 0.495375i | \(-0.164969\pi\) |
−0.202693 | + | 0.979242i | \(0.564969\pi\) | |||||||
\(432\) | −0.972136 | + | 2.99193i | −0.0467719 | + | 0.143949i | ||||
\(433\) | −8.43769 | − | 25.9686i | −0.405490 | − | 1.24797i | −0.920486 | − | 0.390776i | \(-0.872207\pi\) |
0.514996 | − | 0.857193i | \(-0.327793\pi\) | |||||||
\(434\) | −1.57295 | + | 1.14281i | −0.0755040 | + | 0.0548568i | ||||
\(435\) | −7.85410 | + | 5.70634i | −0.376575 | + | 0.273598i | ||||
\(436\) | 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 | \(0.160207\pi\) | |||||||
\(440\) | −7.25329 | − | 3.13068i | −0.345787 | − | 0.149250i | ||||
\(441\) | −6.00000 | −0.285714 | ||||||||
\(442\) | 10.2812 | + | 7.46969i | 0.489025 | + | 0.355297i | ||||
\(443\) | 5.43769 | − | 16.7355i | 0.258353 | − | 0.795128i | −0.734798 | − | 0.678286i | \(-0.762723\pi\) |
0.993151 | − | 0.116842i | \(-0.0372770\pi\) | |||||||
\(444\) | −1.01064 | − | 3.11044i | −0.0479630 | − | 0.147615i | ||||
\(445\) | 4.92705 | − | 3.57971i | 0.233565 | − | 0.169695i | ||||
\(446\) | −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 | 0.968054 | − | 0.250742i | \(-0.0806747\pi\) |
0.0606750 | + | 0.998158i | \(0.480675\pi\) | |||||||
\(450\) | 0.909830 | 0.0428898 | ||||||||
\(451\) | −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 | ||||
\(455\) | 2.11803 | + | 6.51864i | 0.0992950 | + | 0.305598i | ||||
\(456\) | −1.01722 | + | 0.739054i | −0.0476357 | + | 0.0346094i | ||||
\(457\) | 18.5902 | − | 13.5065i | 0.869611 | − | 0.631810i | −0.0608712 | − | 0.998146i | \(-0.519388\pi\) |
0.930483 | + | 0.366336i | \(0.119388\pi\) | |||||||
\(458\) | 1.00000 | + | 3.07768i | 0.0467269 | + | 0.143811i | ||||
\(459\) | 2.42705 | − | 7.46969i | 0.113285 | − | 0.348655i | ||||
\(460\) | −10.2812 | − | 7.46969i | −0.479361 | − | 0.348276i | ||||
\(461\) | −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 | \(-0.194207\pi\) | ||||
0.819580 | + | 0.572965i | \(0.194207\pi\) | |||||||
\(464\) | 15.2705 | + | 11.0947i | 0.708916 | + | 0.515057i | ||||
\(465\) | −2.54508 | + | 7.83297i | −0.118025 | + | 0.363245i | ||||
\(466\) | 1.28115 | + | 3.94298i | 0.0593483 | + | 0.182655i | ||||
\(467\) | 12.0451 | − | 8.75127i | 0.557380 | − | 0.404960i | −0.273119 | − | 0.961980i | \(-0.588055\pi\) |
0.830499 | + | 0.557020i | \(0.188055\pi\) | |||||||
\(468\) | −6.35410 | + | 4.61653i | −0.293718 | + | 0.213399i | ||||
\(469\) | 1.50000 | + | 4.61653i | 0.0692636 | + | 0.213171i | ||||
\(470\) | −0.208204 | + | 0.640786i | −0.00960373 | + | 0.0295572i | ||||
\(471\) | 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 | ||||||||
\(475\) | −1.64590 | − | 1.19581i | −0.0755190 | − | 0.0548678i | ||||
\(476\) | −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 | 0.145839 | − | 0.989308i | \(-0.453412\pi\) |
0.985955 | + | 0.167012i | \(0.0534120\pi\) | |||||||
\(480\) | 2.07295 | + | 6.37988i | 0.0946167 | + | 0.291200i | ||||
\(481\) | 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 | ||||
\(485\) | 1.85410 | 0.0841904 | ||||||||
\(486\) | −0.309017 | − | 0.224514i | −0.0140173 | − | 0.0101842i | ||||
\(487\) | 0.218847 | − | 0.673542i | 0.00991691 | − | 0.0305211i | −0.945976 | − | 0.324238i | \(-0.894892\pi\) |
0.955893 | + | 0.293717i | \(0.0948922\pi\) | |||||||
\(488\) | 3.89512 | + | 11.9880i | 0.176324 | + | 0.542669i | ||||
\(489\) | −9.59017 | + | 6.96767i | −0.433682 | + | 0.315089i | ||||
\(490\) | −3.00000 | + | 2.17963i | −0.135526 | + | 0.0984655i | ||||
\(491\) | −8.98936 | − | 27.6664i | −0.405684 | − | 1.24857i | −0.920323 | − | 0.391160i | \(-0.872074\pi\) |
0.514639 | − | 0.857407i | \(-0.327926\pi\) | |||||||
\(492\) | −2.42705 | + | 7.46969i | −0.109420 | + | 0.336760i | ||||
\(493\) | −38.1246 | − | 27.6992i | −1.71705 | − | 1.24751i | ||||
\(494\) | −1.38197 | −0.0621776 | ||||||||
\(495\) | −3.54508 | + | 4.02874i | −0.159340 | + | 0.181078i | ||||
\(496\) | 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 | −0.962213 | − | 0.272298i | \(-0.912216\pi\) |
0.618394 | − | 0.785868i | \(-0.287784\pi\) | |||||||
\(500\) | −17.9164 | + | 13.0170i | −0.801246 | + | 0.582139i | ||||
\(501\) | −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 | 0.664811 | + | 0.747011i | \(0.268512\pi\) |
−0.976926 | + | 0.213579i | \(0.931488\pi\) | |||||||
\(504\) | 1.19098 | + | 0.865300i | 0.0530506 | + | 0.0385435i | ||||
\(505\) | −9.32624 | −0.415012 | ||||||||
\(506\) | 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 | −0.973411 | − | 0.229067i | \(-0.926433\pi\) |
0.922148 | + | 0.386837i | \(0.126433\pi\) | |||||||
\(510\) | −1.50000 | − | 4.61653i | −0.0664211 | − | 0.204423i | ||||
\(511\) | 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 | ||||
\(515\) | −9.09017 | − | 6.60440i | −0.400561 | − | 0.291024i | ||||
\(516\) | 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 | ||||
\(520\) | −3.11803 | + | 9.59632i | −0.136735 | + | 0.420827i | ||||
\(521\) | −2.76393 | − | 8.50651i | −0.121090 | − | 0.372677i | 0.872078 | − | 0.489366i | \(-0.162772\pi\) |
−0.993168 | + | 0.116689i | \(0.962772\pi\) | |||||||
\(522\) | −1.85410 | + | 1.34708i | −0.0811518 | + | 0.0589603i | ||||
\(523\) | 12.3541 | − | 8.97578i | 0.540207 | − | 0.392483i | −0.283955 | − | 0.958838i | \(-0.591647\pi\) |
0.824162 | + | 0.566354i | \(0.191647\pi\) | |||||||
\(524\) | −7.33282 | − | 22.5681i | −0.320336 | − | 0.985891i | ||||
\(525\) | −0.736068 | + | 2.26538i | −0.0321246 | + | 0.0988695i | ||||
\(526\) | 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 | ||||||||
\(530\) | −1.30902 | − | 0.951057i | −0.0568601 | − | 0.0413113i | ||||
\(531\) | 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 | ||||
\(535\) | −1.26393 | − | 3.88998i | −0.0546445 | − | 0.168179i | ||||
\(536\) | −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 | ||||
\(540\) | 3.00000 | 0.129099 | ||||||||
\(541\) | 36.8156 | + | 26.7481i | 1.58283 | + | 1.14999i | 0.913364 | + | 0.407144i | \(0.133475\pi\) |
0.669462 | + | 0.742846i | \(0.266525\pi\) | |||||||
\(542\) | −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 | ||||
\(545\) | 15.7082 | − | 11.4127i | 0.672866 | − | 0.488865i | ||||
\(546\) | 0.500000 | + | 1.53884i | 0.0213980 | + | 0.0658563i | ||||
\(547\) | 3.62868 | − | 11.1679i | 0.155151 | − | 0.477506i | −0.843025 | − | 0.537874i | \(-0.819228\pi\) |
0.998176 | + | 0.0603684i | \(0.0192275\pi\) | |||||||
\(548\) | 21.3541 | + | 15.5147i | 0.912202 | + | 0.662754i | ||||
\(549\) | 8.56231 | 0.365430 | ||||||||
\(550\) | 0.281153 | − | 3.00444i | 0.0119884 | − | 0.128110i | ||||
\(551\) | 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 | ||||
\(555\) | −2.30902 | + | 1.67760i | −0.0980123 | + | 0.0712101i | ||||
\(556\) | −8.34346 | + | 6.06188i | −0.353841 | + | 0.257081i | ||||
\(557\) | −12.5557 | − | 38.6426i | −0.532003 | − | 1.63734i | −0.750037 | − | 0.661396i | \(-0.769964\pi\) |
0.218033 | − | 0.975941i | \(-0.430036\pi\) | |||||||
\(558\) | −0.600813 | + | 1.84911i | −0.0254344 | + | 0.0782792i | ||||
\(559\) | 22.9894 | + | 16.7027i | 0.972346 | + | 0.706451i | ||||
\(560\) | −5.09017 | −0.215099 | ||||||||
\(561\) | −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 | \(-0.242016\pi\) |
−0.431503 | + | 0.902112i | \(0.642016\pi\) | |||||||
\(564\) | 0.624612 | − | 1.92236i | 0.0263009 | − | 0.0809459i | ||||
\(565\) | 2.26393 | + | 6.96767i | 0.0952443 | + | 0.293132i | ||||
\(566\) | 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 | −0.844846 | − | 0.535010i | \(-0.820308\pi\) |
0.997966 | + | 0.0637558i | \(0.0203079\pi\) | |||||||
\(570\) | 0.427051 | + | 0.310271i | 0.0178872 | + | 0.0129958i | ||||
\(571\) | 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 | ||||
\(575\) | 3.11803 | − | 9.59632i | 0.130031 | − | 0.400194i | ||||
\(576\) | −1.45492 | − | 4.47777i | −0.0606215 | − | 0.186574i | ||||
\(577\) | −14.7984 | + | 10.7516i | −0.616064 | + | 0.447597i | −0.851545 | − | 0.524282i | \(-0.824334\pi\) |
0.235480 | + | 0.971879i | \(0.424334\pi\) | |||||||
\(578\) | 13.8090 | − | 10.0328i | 0.574379 | − | 0.417311i | ||||
\(579\) | 3.04508 | + | 9.37181i | 0.126549 | + | 0.389479i | ||||
\(580\) | 5.56231 | − | 17.1190i | 0.230962 | − | 0.710829i | ||||
\(581\) | −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 | ||||||||
\(585\) | 5.54508 | + | 4.02874i | 0.229261 | + | 0.166568i | ||||
\(586\) | −1.13932 | + | 3.50647i | −0.0470649 | + | 0.144851i | ||||
\(587\) | 11.7812 | + | 36.2587i | 0.486260 | + | 1.49656i | 0.830147 | + | 0.557544i | \(0.188256\pi\) |
−0.343887 | + | 0.939011i | \(0.611744\pi\) | |||||||
\(588\) | 9.00000 | − | 6.53888i | 0.371154 | − | 0.269659i | ||||
\(589\) | 3.51722 | − | 2.55541i | 0.144925 | − | 0.105294i | ||||
\(590\) | −1.83688 | − | 5.65334i | −0.0756232 | − | 0.232744i | ||||
\(591\) | 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 | \(-0.400108\pi\) | ||||
0.308695 | + | 0.951161i | \(0.400108\pi\) | |||||||
\(594\) | −0.836881 | + | 0.951057i | −0.0343376 | + | 0.0390223i | ||||
\(595\) | 12.7082 | 0.520986 | ||||||||
\(596\) | 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 | −0.235153 | − | 0.971958i | \(-0.575559\pi\) |
0.851721 | + | 0.523996i | \(0.175559\pi\) | |||||||
\(600\) | −2.83688 | + | 2.06111i | −0.115815 | + | 0.0841447i | ||||
\(601\) | 8.92705 | + | 27.4746i | 0.364142 | + | 1.12071i | 0.950517 | + | 0.310674i | \(0.100555\pi\) |
−0.586375 | + | 0.810040i | \(0.699445\pi\) | |||||||
\(602\) | 0.791796 | − | 2.43690i | 0.0322712 | − | 0.0993205i | ||||
\(603\) | 3.92705 | + | 2.85317i | 0.159922 | + | 0.116190i | ||||
\(604\) | −35.1246 | −1.42920 | ||||||||
\(605\) | 12.2082 | + | 12.9515i | 0.496334 | + | 0.526554i | ||||
\(606\) | −2.20163 | −0.0894349 | ||||||||
\(607\) | −2.88197 | − | 2.09387i | −0.116975 | − | 0.0849876i | 0.527760 | − | 0.849394i | \(-0.323032\pi\) |
−0.644735 | + | 0.764406i | \(0.723032\pi\) | |||||||
\(608\) | 1.09424 | − | 3.36771i | 0.0443771 | − | 0.136579i | ||||
\(609\) | −1.85410 | − | 5.70634i | −0.0751320 | − | 0.231233i | ||||
\(610\) | 4.28115 | − | 3.11044i | 0.173339 | − | 0.125938i | ||||
\(611\) | 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 | 0.615311 | + | 0.788285i | \(0.289031\pi\) |
−0.961139 | + | 0.276065i | \(0.910969\pi\) | |||||||
\(614\) | −5.86475 | − | 4.26099i | −0.236682 | − | 0.171959i | ||||
\(615\) | 6.85410 | 0.276384 | ||||||||
\(616\) | 3.22542 | − | 3.66547i | 0.129956 | − | 0.147686i | ||||
\(617\) | −11.1803 | −0.450104 | −0.225052 | − | 0.974347i | \(-0.572255\pi\) | ||||
−0.225052 | + | 0.974347i | \(0.572255\pi\) | |||||||
\(618\) | −2.14590 | − | 1.55909i | −0.0863207 | − | 0.0627156i | ||||
\(619\) | −4.98278 | + | 15.3354i | −0.200275 | + | 0.616382i | 0.799600 | + | 0.600533i | \(0.205045\pi\) |
−0.999874 | + | 0.0158490i | \(0.994955\pi\) | |||||||
\(620\) | −4.71885 | − | 14.5231i | −0.189513 | − | 0.583262i | ||||
\(621\) | −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 | ||||
\(625\) | 6.00000 | + | 4.35926i | 0.240000 | + | 0.174370i | ||||
\(626\) | 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 | ||||
\(630\) | 0.190983 | − | 0.587785i | 0.00760895 | − | 0.0234179i | ||||
\(631\) | −9.95492 | − | 30.6381i | −0.396299 | − | 1.21968i | −0.927945 | − | 0.372716i | \(-0.878426\pi\) |
0.531646 | − | 0.846966i | \(-0.321574\pi\) | |||||||
\(632\) | −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 | ||||
\(635\) | −2.85410 | + | 8.78402i | −0.113262 | + | 0.348583i | ||||
\(636\) | 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 | ||||||||
\(640\) | −13.2082 | − | 9.59632i | −0.522100 | − | 0.379328i | ||||
\(641\) | −4.29837 | + | 13.2290i | −0.169776 | + | 0.522515i | −0.999356 | − | 0.0358711i | \(-0.988579\pi\) |
0.829581 | + | 0.558387i | \(0.188579\pi\) | |||||||
\(642\) | −0.298374 | − | 0.918300i | −0.0117759 | − | 0.0362424i | ||||
\(643\) | −11.4443 | + | 8.31475i | −0.451318 | + | 0.327902i | −0.790116 | − | 0.612957i | \(-0.789980\pi\) |
0.338798 | + | 0.940859i | \(0.389980\pi\) | |||||||
\(644\) | 6.35410 | − | 4.61653i | 0.250387 | − | 0.181917i | ||||
\(645\) | −3.35410 | − | 10.3229i | −0.132068 | − | 0.406462i | ||||
\(646\) | −0.791796 | + | 2.43690i | −0.0311528 | + | 0.0958785i | ||||
\(647\) | −12.9164 | − | 9.38432i | −0.507796 | − | 0.368936i | 0.304191 | − | 0.952611i | \(-0.401614\pi\) |
−0.811987 | + | 0.583676i | \(0.801614\pi\) | |||||||
\(648\) | 1.47214 | 0.0578310 | ||||||||
\(649\) | −29.2877 | − | 12.6412i | −1.14964 | − | 0.496212i | ||||
\(650\) | −3.85410 | −0.151170 | ||||||||
\(651\) | −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 | \(-0.121079\pi\) |
−0.969421 | + | 0.245405i | \(0.921079\pi\) | |||||||
\(654\) | 3.70820 | − | 2.69417i | 0.145002 | − | 0.105350i | ||||
\(655\) | −16.7533 | + | 12.1720i | −0.654605 | + | 0.475598i | ||||
\(656\) | −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 | \(0.505427\pi\) | |||||||
\(660\) | 0.927051 | − | 9.90659i | 0.0360854 | − | 0.385614i | ||||
\(661\) | 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 | ||||
\(665\) | −1.11803 | + | 0.812299i | −0.0433555 | + | 0.0314996i | ||||
\(666\) | −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 | ||||
\(670\) | 3.00000 | 0.115900 | ||||||||
\(671\) | 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 | \(-0.188319\pi\) |
−0.273916 | + | 0.961754i | \(0.588319\pi\) | |||||||
\(674\) | −0.493422 | + | 1.51860i | −0.0190059 | + | 0.0584942i | ||||
\(675\) | 0.736068 | + | 2.26538i | 0.0283313 | + | 0.0871947i | ||||
\(676\) | 7.41641 | − | 5.38834i | 0.285246 | − | 0.207244i | ||||
\(677\) | −18.1803 | + | 13.2088i | −0.698727 | + | 0.507655i | −0.879517 | − | 0.475867i | \(-0.842134\pi\) |
0.180790 | + | 0.983522i | \(0.442134\pi\) | |||||||
\(678\) | 0.534442 | + | 1.64484i | 0.0205251 | + | 0.0631698i | ||||
\(679\) | −0.354102 | + | 1.08981i | −0.0135892 | + | 0.0418232i | ||||
\(680\) | 15.1353 | + | 10.9964i | 0.580411 | + | 0.421693i | ||||
\(681\) | 9.18034 | 0.351791 | ||||||||
\(682\) | 5.92047 | + | 2.55541i | 0.226707 | + | 0.0978517i | ||||
\(683\) | −49.0689 | −1.87757 | −0.938784 | − | 0.344505i | \(-0.888047\pi\) | ||||
−0.938784 | + | 0.344505i | \(0.888047\pi\) | |||||||
\(684\) | −1.28115 | − | 0.930812i | −0.0489861 | − | 0.0355905i | ||||
\(685\) | 7.11803 | − | 21.9071i | 0.271966 | − | 0.837026i | ||||
\(686\) | −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 | ||||
\(690\) | −0.809017 | + | 2.48990i | −0.0307988 | + | 0.0947888i | ||||
\(691\) | −26.4164 | − | 19.1926i | −1.00493 | − | 0.730123i | −0.0417884 | − | 0.999126i | \(-0.513306\pi\) |
−0.963139 | + | 0.269004i | \(0.913306\pi\) | |||||||
\(692\) | −20.4590 | −0.777734 | ||||||||
\(693\) | −1.69098 | − | 2.85317i | −0.0642351 | − | 0.108383i | ||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | 7.28115 | + | 5.29007i | 0.276190 | + | 0.200664i | ||||
\(696\) | 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 | ||||
\(700\) | −1.36475 | − | 4.20025i | −0.0515825 | − | 0.158755i | ||||
\(701\) | −3.15248 | + | 9.70232i | −0.119067 | + | 0.366452i | −0.992774 | − | 0.120002i | \(-0.961710\pi\) |
0.873706 | + | 0.486454i | \(0.161710\pi\) | |||||||
\(702\) | 1.30902 | + | 0.951057i | 0.0494057 | + | 0.0358953i | ||||
\(703\) | 1.50658 | 0.0568217 | ||||||||
\(704\) | −15.2361 | + | 3.42071i | −0.574231 | + | 0.128923i | ||||
\(705\) | −1.76393 | −0.0664335 | ||||||||
\(706\) | −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 | 0.225604 | − | 0.974219i | \(-0.427565\pi\) |
0.996253 | + | 0.0864884i | \(0.0275645\pi\) | |||||||
\(710\) | −2.66312 | + | 1.93487i | −0.0999451 | + | 0.0726143i | ||||
\(711\) | 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 | ||||||||
\(715\) | 15.0172 | − | 17.0660i | 0.561612 | − | 0.638233i | ||||
\(716\) | 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 | 0.742100 | + | 0.670289i | \(0.233830\pi\) |
−0.206385 | + | 0.978471i | \(0.566170\pi\) | |||||||
\(720\) | −4.11803 | + | 2.99193i | −0.153470 | + | 0.111503i | ||||
\(721\) | 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 | ||||
\(725\) | 14.2918 | 0.530784 | ||||||||
\(726\) | 2.88197 | + | 3.05744i | 0.106960 | + | 0.113472i | ||||
\(727\) | −15.8541 | −0.587996 | −0.293998 | − | 0.955806i | \(-0.594986\pi\) | ||||
−0.293998 | + | 0.955806i | \(0.594986\pi\) | |||||||
\(728\) | −5.04508 | − | 3.66547i | −0.186983 | − | 0.135851i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −1.47214 | − | 4.53077i | −0.0544862 | − | 0.167691i | ||||
\(731\) | 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 | −0.664698 | − | 0.747112i | \(-0.731440\pi\) |
0.0986105 | − | 0.995126i | \(-0.468560\pi\) | |||||||
\(734\) | −3.40576 | + | 10.4819i | −0.125709 | + | 0.386893i | ||||
\(735\) | −7.85410 | − | 5.70634i | −0.289703 | − | 0.210481i | ||||
\(736\) | 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 | 0.542250 | − | 0.840218i | \(-0.317573\pi\) |
−0.631530 | + | 0.775351i | \(0.717573\pi\) | |||||||
\(740\) | 1.63525 | − | 5.03280i | 0.0601132 | − | 0.185009i | ||||
\(741\) | −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 | \(-0.658359\pi\) |
0.688297 | + | 0.725429i | \(0.258359\pi\) | |||||||
\(744\) | −2.31559 | − | 7.12667i | −0.0848938 | − | 0.261276i | ||||
\(745\) | 0.118034 | − | 0.363271i | 0.00432443 | − | 0.0133092i | ||||
\(746\) | −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 | ||||||||
\(750\) | 3.69098 | + | 2.68166i | 0.134776 | + | 0.0979202i | ||||
\(751\) | 7.06231 | − | 21.7355i | 0.257707 | − | 0.793141i | −0.735577 | − | 0.677441i | \(-0.763089\pi\) |
0.993284 | − | 0.115700i | \(-0.0369111\pi\) | |||||||
\(752\) | 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 | ||||
\(755\) | 9.47214 | + | 29.1522i | 0.344726 | + | 1.06096i | ||||
\(756\) | −0.572949 | + | 1.76336i | −0.0208380 | + | 0.0641326i | ||||
\(757\) | −4.04508 | − | 2.93893i | −0.147021 | − | 0.106817i | 0.511843 | − | 0.859079i | \(-0.328963\pi\) |
−0.658864 | + | 0.752262i | \(0.728963\pi\) | |||||||
\(758\) | −4.15905 | −0.151064 | ||||||||
\(759\) | 7.16312 | + | 12.0862i | 0.260005 | + | 0.438702i | ||||
\(760\) | −2.03444 | −0.0737970 | ||||||||
\(761\) | −34.5517 | − | 25.1033i | −1.25250 | − | 0.909992i | −0.254133 | − | 0.967169i | \(-0.581790\pi\) |
−0.998364 | + | 0.0571772i | \(0.981790\pi\) | |||||||
\(762\) | −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 | ||||
\(765\) | 10.2812 | − | 7.46969i | 0.371716 | − | 0.270067i | ||||
\(766\) | −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 | \(0.479861\pi\) | |||||||
\(770\) | −1.88197 | − | 0.812299i | −0.0678213 | − | 0.0292732i | ||||
\(771\) | 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 | \(-0.872376\pi\) |
0.974262 | + | 0.225421i | \(0.0723756\pi\) | |||||||
\(774\) | −0.791796 | − | 2.43690i | −0.0284605 | − | 0.0875925i | ||||
\(775\) | 9.80902 | − | 7.12667i | 0.352350 | − | 0.255997i | ||||
\(776\) | −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 | ||||
\(780\) | −12.7082 | −0.455027 | ||||||||
\(781\) | −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 | ||||
\(785\) | 1.14590 | + | 3.52671i | 0.0408989 | + | 0.125874i | ||||
\(786\) | −3.95492 | + | 2.87341i | −0.141067 | + | 0.102491i | ||||
\(787\) | −3.00000 | + | 2.17963i | −0.106938 | + | 0.0776953i | −0.639969 | − | 0.768400i | \(-0.721053\pi\) |
0.533031 | + | 0.846096i | \(0.321053\pi\) | |||||||
\(788\) | 9.18692 | + | 28.2744i | 0.327270 | + | 1.00723i | ||||
\(789\) | −5.64590 | + | 17.3763i | −0.200999 | + | 0.618612i | ||||
\(790\) | 5.50000 | + | 3.99598i | 0.195681 | + | 0.142171i | ||||
\(791\) | −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 | ||||
\(795\) | 1.30902 | − | 4.02874i | 0.0464260 | − | 0.142885i | ||||
\(796\) | 3.84346 | + | 11.8290i | 0.136228 | + | 0.419266i | ||||
\(797\) | 39.2705 | − | 28.5317i | 1.39103 | − | 1.01064i | 0.395282 | − | 0.918560i | \(-0.370647\pi\) |
0.995751 | − | 0.0920845i | \(-0.0293530\pi\) | |||||||
\(798\) | −0.263932 | + | 0.191758i | −0.00934309 | + | 0.00678815i | ||||
\(799\) | −2.64590 | − | 8.14324i | −0.0936051 | − | 0.288087i | ||||
\(800\) | 3.05166 | − | 9.39205i | 0.107893 | − | 0.332059i | ||||
\(801\) | 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 | ||||||||
\(805\) | −5.54508 | − | 4.02874i | −0.195439 | − | 0.141994i | ||||
\(806\) | 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 | −0.790594 | − | 0.612340i | \(-0.790228\pi\) |
0.338063 | + | 0.941124i | \(0.390228\pi\) | |||||||
\(810\) | −0.190983 | − | 0.587785i | −0.00671046 | − | 0.0206527i | ||||
\(811\) | 5.07953 | − | 15.6332i | 0.178366 | − | 0.548955i | −0.821405 | − | 0.570346i | \(-0.806809\pi\) |
0.999771 | + | 0.0213905i | \(0.00680931\pi\) | |||||||
\(812\) | 9.00000 | + | 6.53888i | 0.315838 | + | 0.229470i | ||||
\(813\) | −16.3820 | −0.574541 | ||||||||
\(814\) | 1.13932 | + | 1.92236i | 0.0399332 | + | 0.0673786i | ||||
\(815\) | −19.1803 | −0.671858 | ||||||||
\(816\) | −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 | ||||
\(820\) | −10.2812 | + | 7.46969i | −0.359033 | + | 0.260853i | ||||
\(821\) | −2.65654 | − | 8.17599i | −0.0927139 | − | 0.285344i | 0.893937 | − | 0.448192i | \(-0.147932\pi\) |
−0.986651 | + | 0.162848i | \(0.947932\pi\) | |||||||
\(822\) | 1.68034 | − | 5.17155i | 0.0586086 | − | 0.180379i | ||||
\(823\) | −20.8992 | − | 15.1841i | −0.728500 | − | 0.529286i | 0.160589 | − | 0.987021i | \(-0.448661\pi\) |
−0.889089 | + | 0.457735i | \(0.848661\pi\) | |||||||
\(824\) | 10.2229 | 0.356132 | ||||||||
\(825\) | 7.70820 | − | 1.73060i | 0.268365 | − | 0.0602517i | ||||
\(826\) | 3.67376 | 0.127827 | ||||||||
\(827\) | −16.7082 | − | 12.1392i | −0.581001 | − | 0.422122i | 0.258084 | − | 0.966123i | \(-0.416909\pi\) |
−0.839085 | + | 0.544000i | \(0.816909\pi\) | |||||||
\(828\) | 2.42705 | − | 7.46969i | 0.0843459 | − | 0.259590i | ||||
\(829\) | 13.1008 | + | 40.3202i | 0.455010 | + | 1.40038i | 0.871123 | + | 0.491064i | \(0.163392\pi\) |
−0.416113 | + | 0.909313i | \(0.636608\pi\) | |||||||
\(830\) | −3.73607 | + | 2.71441i | −0.129681 | + | 0.0942186i | ||||
\(831\) | 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 | ||||
\(835\) | −27.5623 | −0.953833 | ||||||||
\(836\) | −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 | −0.556153 | − | 0.831080i | \(-0.687723\pi\) |
0.938434 | − | 0.345459i | \(-0.112277\pi\) | |||||||
\(840\) | 0.736068 | + | 2.26538i | 0.0253968 | + | 0.0781632i | ||||
\(841\) | −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 | ||||
\(845\) | −6.47214 | − | 4.70228i | −0.222648 | − | 0.161763i | ||||
\(846\) | −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 | ||||
\(850\) | −2.20820 | + | 6.79615i | −0.0757408 | + | 0.233106i | ||||
\(851\) | 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 | \(-0.688188\pi\) |
0.617396 | + | 0.786652i | \(0.288188\pi\) | |||||||
\(854\) | 1.01064 | + | 3.11044i | 0.0345835 | + | 0.106437i | ||||
\(855\) | −0.427051 | + | 1.31433i | −0.0146048 | + | 0.0449491i | ||||
\(856\) | 3.01064 | + | 2.18736i | 0.102902 | + | 0.0747624i | ||||
\(857\) | 32.2361 | 1.10116 | 0.550582 | − | 0.834781i | \(-0.314406\pi\) | ||||
0.550582 | + | 0.834781i | \(0.314406\pi\) | |||||||
\(858\) | 3.54508 | − | 4.02874i | 0.121027 | − | 0.137539i | ||||
\(859\) | −7.58359 | −0.258749 | −0.129374 | − | 0.991596i | \(-0.541297\pi\) | ||||
−0.129374 | + | 0.991596i | \(0.541297\pi\) | |||||||
\(860\) | 16.2812 | + | 11.8290i | 0.555183 | + | 0.403364i | ||||
\(861\) | −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 | \(-0.909164\pi\) |
−0.0287861 | + | 0.999586i | \(0.509164\pi\) | |||||||
\(864\) | −3.35410 | + | 2.43690i | −0.114109 | + | 0.0829049i | ||||
\(865\) | 5.51722 | + | 16.9803i | 0.187591 | + | 0.577346i | ||||
\(866\) | 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 | ||||
\(870\) | −3.70820 | −0.125720 | ||||||||
\(871\) | −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 | ||||
\(875\) | −9.66312 | + | 7.02067i | −0.326673 | + | 0.237342i | ||||
\(876\) | 4.41641 | + | 13.5923i | 0.149217 | + | 0.459241i | ||||
\(877\) | −12.3779 | + | 38.0953i | −0.417972 | + | 1.28639i | 0.491593 | + | 0.870825i | \(0.336415\pi\) |
−0.909565 | + | 0.415561i | \(0.863585\pi\) | |||||||
\(878\) | 11.3435 | + | 8.24151i | 0.382823 | + | 0.278137i | ||||
\(879\) | −9.65248 | −0.325570 | ||||||||
\(880\) | 8.60739 | + | 14.5231i | 0.290155 | + | 0.489574i | ||||
\(881\) | 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 | −0.802941 | − | 0.596058i | \(-0.796733\pi\) |
0.999947 | − | 0.0102644i | \(-0.00326732\pi\) | |||||||
\(884\) | −19.0623 | − | 58.6677i | −0.641135 | − | 1.97321i | ||||
\(885\) | 12.5902 | − | 9.14729i | 0.423214 | − | 0.307483i | ||||
\(886\) | 5.43769 | − | 3.95072i | 0.182683 | − | 0.132727i | ||||
\(887\) | 9.42047 | + | 28.9932i | 0.316309 | + | 0.973498i | 0.975212 | + | 0.221270i | \(0.0710204\pi\) |
−0.658904 | + | 0.752227i | \(0.728980\pi\) | |||||||
\(888\) | 0.802439 | − | 2.46965i | 0.0269281 | − | 0.0828762i | ||||
\(889\) | −4.61803 | − | 3.35520i | −0.154884 | − | 0.112530i | ||||
\(890\) | 2.32624 | 0.0779757 | ||||||||
\(891\) | −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 | ||||
\(895\) | −8.73607 | − | 26.8869i | −0.292015 | − | 0.898728i | ||||
\(896\) | 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 | ||||
\(900\) | −3.57295 | − | 2.59590i | −0.119098 | − | 0.0865300i | ||||
\(901\) | 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 | ||||
\(905\) | 5.73607 | − | 17.6538i | 0.190673 | − | 0.586832i | ||||
\(906\) | 2.23607 | + | 6.88191i | 0.0742884 | + | 0.228636i | ||||
\(907\) | −25.3992 | + | 18.4536i | −0.843366 | + | 0.612741i | −0.923309 | − | 0.384058i | \(-0.874526\pi\) |
0.0799428 | + | 0.996799i | \(0.474526\pi\) | |||||||
\(908\) | −13.7705 | + | 10.0049i | −0.456990 | + | 0.332023i | ||||
\(909\) | −1.78115 | − | 5.48183i | −0.0590771 | − | 0.181821i | ||||
\(910\) | −0.809017 | + | 2.48990i | −0.0268187 | + | 0.0825393i | ||||
\(911\) | 8.57295 | + | 6.22861i | 0.284034 | + | 0.206363i | 0.720675 | − | 0.693273i | \(-0.243832\pi\) |
−0.436641 | + | 0.899636i | \(0.643832\pi\) | |||||||
\(912\) | 2.68692 | 0.0889727 | ||||||||
\(913\) | −2.30902 | + | 24.6745i | −0.0764173 | + | 0.816606i | ||||
\(914\) | 8.77709 | 0.290320 | ||||||||
\(915\) | 11.2082 | + | 8.14324i | 0.370532 | + | 0.269207i | ||||
\(916\) | 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 | −0.509801 | − | 0.860292i | \(-0.670281\pi\) |
0.660649 | + | 0.750695i | \(0.270281\pi\) | |||||||
\(920\) | −3.11803 | − | 9.59632i | −0.102799 | − | 0.316381i | ||||
\(921\) | 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 | ||||
\(925\) | 4.20163 | 0.138149 | ||||||||
\(926\) | 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 | −0.597145 | − | 0.802134i | \(-0.703698\pi\) |
0.578347 | + | 0.815791i | \(0.303698\pi\) | |||||||
\(930\) | −2.54508 | + | 1.84911i | −0.0834566 | + | 0.0606348i | ||||
\(931\) | 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 | ||||||||
\(935\) | −21.4894 | − | 36.2587i | −0.702777 | − | 1.18578i | ||||
\(936\) | −6.23607 | −0.203832 | ||||||||
\(937\) | −8.37132 | − | 6.08212i | −0.273479 | − | 0.198694i | 0.442589 | − | 0.896725i | \(-0.354060\pi\) |
−0.716068 | + | 0.698030i | \(0.754060\pi\) | |||||||
\(938\) | −0.572949 | + | 1.76336i | −0.0187074 | + | 0.0575756i | ||||
\(939\) | 3.54508 | + | 10.9106i | 0.115689 | + | 0.356056i | ||||
\(940\) | 2.64590 | − | 1.92236i | 0.0862997 | − | 0.0627004i | ||||
\(941\) | −33.5344 | + | 24.3642i | −1.09319 | + | 0.794250i | −0.979935 | − | 0.199316i | \(-0.936128\pi\) |
−0.113256 | + | 0.993566i | \(0.536128\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | 1.61803 | 0.0526346 | ||||||||
\(946\) | −8.29180 | + | 1.86162i | −0.269590 | + | 0.0605266i | ||||
\(947\) | 41.3951 | 1.34516 | 0.672580 | − | 0.740024i | \(-0.265186\pi\) | ||||
0.672580 | + | 0.740024i | \(0.265186\pi\) | |||||||
\(948\) | −16.5000 | − | 11.9880i | −0.535895 | − | 0.389351i | ||||
\(949\) | −10.0902 | + | 31.0543i | −0.327541 | + | 1.00807i | ||||
\(950\) | −0.240133 | − | 0.739054i | −0.00779095 | − | 0.0239781i | ||||
\(951\) | −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 | 0.901112 | + | 0.433587i | \(0.142752\pi\) |
−0.474159 | + | 0.880439i | \(0.657248\pi\) | |||||||
\(954\) | 0.309017 | − | 0.951057i | 0.0100048 | − | 0.0307916i | ||||
\(955\) | 30.3435 | + | 22.0458i | 0.981891 | + | 0.713386i | ||||
\(956\) | −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 | ||||
\(960\) | 2.35410 | − | 7.24518i | 0.0759783 | − | 0.233837i | ||||
\(961\) | −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 | ||||
\(965\) | −4.92705 | + | 15.1639i | −0.158607 | + | 0.488143i | ||||
\(966\) | −1.30902 | − | 0.951057i | −0.0421169 | − | 0.0305997i | ||||
\(967\) | −20.9230 | −0.672838 | −0.336419 | − | 0.941712i | \(-0.609216\pi\) | ||||
−0.336419 | + | 0.941712i | \(0.609216\pi\) | |||||||
\(968\) | −15.9123 | − | 3.00444i | −0.511442 | − | 0.0965663i | ||||
\(969\) | −6.70820 | −0.215499 | ||||||||
\(970\) | 0.572949 | + | 0.416272i | 0.0183963 | + | 0.0133657i | ||||
\(971\) | −12.9787 | + | 39.9444i | −0.416507 | + | 1.28188i | 0.494389 | + | 0.869240i | \(0.335392\pi\) |
−0.910896 | + | 0.412635i | \(0.864608\pi\) | |||||||
\(972\) | 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 | ||||
\(975\) | −3.11803 | − | 9.59632i | −0.0998570 | − | 0.307328i | ||||
\(976\) | 8.32373 | − | 25.6178i | 0.266436 | − | 0.820006i | ||||
\(977\) | −39.3156 | − | 28.5645i | −1.25782 | − | 0.913858i | −0.259169 | − | 0.965832i | \(-0.583449\pi\) |
−0.998648 | + | 0.0519742i | \(0.983449\pi\) | |||||||
\(978\) | −4.52786 | −0.144785 | ||||||||
\(979\) | 8.24671 | − | 9.37181i | 0.263566 | − | 0.299524i | ||||
\(980\) | 18.0000 | 0.574989 | ||||||||
\(981\) | 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 | −0.895556 | − | 0.444949i | \(-0.853222\pi\) |
0.462986 | − | 0.886366i | \(-0.346778\pi\) | |||||||
\(984\) | −5.04508 | + | 3.66547i | −0.160831 | + | 0.116851i | ||||
\(985\) | 20.9894 | − | 15.2497i | 0.668777 | − | 0.485895i | ||||
\(986\) | −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 | ||||||||
\(990\) | −2.00000 | + | 0.449028i | −0.0635642 | + | 0.0142710i | ||||
\(991\) | −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 | ||||
\(995\) | 8.78115 | − | 6.37988i | 0.278381 | − | 0.202256i | ||||
\(996\) | 11.2082 | − | 8.14324i | 0.355146 | − | 0.258028i | ||||
\(997\) | −14.1525 | − | 43.5568i | −0.448213 | − | 1.37946i | −0.878921 | − | 0.476967i | \(-0.841736\pi\) |
0.430708 | − | 0.902492i | \(-0.358264\pi\) | |||||||
\(998\) | 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 \(a_p\))