Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [54,2,Mod(7,54)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(54, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("54.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 54 = 2 \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 54.e (of order \(9\), degree \(6\), 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: | \(0.431192170915\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 318 x^{8} - 678 x^{7} + 1225 x^{6} - 1698 x^{5} + 1905 x^{4} + \cdots + 57 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(0.500000 - 1.96356i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 54.7 |
Dual form | 54.2.e.b.31.1 |
$q$-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 \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).
\(n\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.14517 | + | 1.29945i | −0.661165 | + | 0.750241i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.617090 | + | 3.49969i | 0.275971 | + | 1.56511i | 0.735860 | + | 0.677134i | \(0.236778\pi\) |
−0.459889 | + | 0.887977i | \(0.652111\pi\) | |||||||
\(6\) | 0.631669 | − | 1.61276i | 0.257878 | − | 0.658406i | ||||
\(7\) | −0.244752 | − | 0.205371i | −0.0925075 | − | 0.0776230i | 0.595361 | − | 0.803458i | \(-0.297009\pi\) |
−0.687869 | + | 0.725835i | \(0.741453\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.377165 | − | 2.97620i | −0.125722 | − | 0.992066i | ||||
\(10\) | −1.77684 | − | 3.07758i | −0.561886 | − | 0.973216i | ||||
\(11\) | 0.773091 | − | 4.38442i | 0.233096 | − | 1.32195i | −0.613491 | − | 0.789702i | \(-0.710235\pi\) |
0.846587 | − | 0.532250i | \(-0.178653\pi\) | |||||||
\(12\) | −0.0419788 | + | 1.73154i | −0.0121182 | + | 0.499853i | ||||
\(13\) | 4.39657 | + | 1.60022i | 1.21939 | + | 0.443822i | 0.869951 | − | 0.493137i | \(-0.164150\pi\) |
0.349439 | + | 0.936959i | \(0.386372\pi\) | |||||||
\(14\) | 0.300233 | + | 0.109276i | 0.0802405 | + | 0.0292052i | ||||
\(15\) | −5.25437 | − | 3.20587i | −1.35667 | − | 0.827751i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −0.567354 | − | 0.982686i | −0.137604 | − | 0.238336i | 0.788985 | − | 0.614412i | \(-0.210607\pi\) |
−0.926589 | + | 0.376075i | \(0.877273\pi\) | |||||||
\(18\) | 1.37234 | + | 2.66771i | 0.323463 | + | 0.628786i | ||||
\(19\) | −0.928896 | + | 1.60890i | −0.213103 | + | 0.369106i | −0.952684 | − | 0.303962i | \(-0.901690\pi\) |
0.739581 | + | 0.673068i | \(0.235024\pi\) | |||||||
\(20\) | 2.72228 | + | 2.28426i | 0.608720 | + | 0.510777i | ||||
\(21\) | 0.547153 | − | 0.0828588i | 0.119399 | − | 0.0180813i | ||||
\(22\) | 0.773091 | + | 4.38442i | 0.164824 | + | 0.934761i | ||||
\(23\) | 0.110473 | − | 0.0926974i | 0.0230351 | − | 0.0193288i | −0.631197 | − | 0.775622i | \(-0.717436\pi\) |
0.654233 | + | 0.756293i | \(0.272992\pi\) | |||||||
\(24\) | −0.552775 | − | 1.64147i | −0.112835 | − | 0.335065i | ||||
\(25\) | −7.16859 | + | 2.60915i | −1.43372 | + | 0.521831i | ||||
\(26\) | −4.67874 | −0.917576 | ||||||||
\(27\) | 4.29935 | + | 2.91815i | 0.827411 | + | 0.561598i | ||||
\(28\) | −0.319501 | −0.0603800 | ||||||||
\(29\) | 4.09634 | − | 1.49095i | 0.760672 | − | 0.276862i | 0.0675824 | − | 0.997714i | \(-0.478471\pi\) |
0.693089 | + | 0.720852i | \(0.256249\pi\) | |||||||
\(30\) | 6.03396 | + | 1.21543i | 1.10165 | + | 0.221906i | ||||
\(31\) | 0.514546 | − | 0.431755i | 0.0924152 | − | 0.0775455i | −0.595410 | − | 0.803422i | \(-0.703010\pi\) |
0.687825 | + | 0.725877i | \(0.258566\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 4.81203 | + | 6.02551i | 0.837667 | + | 1.04891i | ||||
\(34\) | 0.869237 | + | 0.729376i | 0.149073 | + | 0.125087i | ||||
\(35\) | 0.567702 | − | 0.983289i | 0.0959592 | − | 0.166206i | ||||
\(36\) | −2.20199 | − | 2.03746i | −0.366998 | − | 0.339577i | ||||
\(37\) | −3.79438 | − | 6.57207i | −0.623793 | − | 1.08044i | −0.988773 | − | 0.149426i | \(-0.952258\pi\) |
0.364980 | − | 0.931015i | \(-0.381076\pi\) | |||||||
\(38\) | 0.322602 | − | 1.82957i | 0.0523330 | − | 0.296795i | ||||
\(39\) | −7.11425 | + | 3.88062i | −1.13919 | + | 0.621397i | ||||
\(40\) | −3.33937 | − | 1.21543i | −0.528000 | − | 0.192176i | ||||
\(41\) | −2.04599 | − | 0.744678i | −0.319529 | − | 0.116299i | 0.177276 | − | 0.984161i | \(-0.443271\pi\) |
−0.496805 | + | 0.867862i | \(0.665494\pi\) | |||||||
\(42\) | −0.485817 | + | 0.264999i | −0.0749631 | + | 0.0408903i | ||||
\(43\) | −1.23250 | + | 6.98988i | −0.187955 | + | 1.06595i | 0.734144 | + | 0.678994i | \(0.237584\pi\) |
−0.922099 | + | 0.386953i | \(0.873528\pi\) | |||||||
\(44\) | −2.22603 | − | 3.85559i | −0.335586 | − | 0.581252i | ||||
\(45\) | 10.1830 | − | 3.15654i | 1.51800 | − | 0.470550i | ||||
\(46\) | −0.0721058 | + | 0.124891i | −0.0106314 | + | 0.0184142i | ||||
\(47\) | −7.91059 | − | 6.63778i | −1.15388 | − | 0.968219i | −0.154075 | − | 0.988059i | \(-0.549240\pi\) |
−0.999803 | + | 0.0198400i | \(0.993684\pi\) | |||||||
\(48\) | 1.08086 | + | 1.35342i | 0.156008 | + | 0.195350i | ||||
\(49\) | −1.19781 | − | 6.79312i | −0.171116 | − | 0.970446i | ||||
\(50\) | 5.84389 | − | 4.90360i | 0.826450 | − | 0.693474i | ||||
\(51\) | 1.92667 | + | 0.388093i | 0.269788 | + | 0.0543439i | ||||
\(52\) | 4.39657 | − | 1.60022i | 0.609695 | − | 0.221911i | ||||
\(53\) | 0.805554 | 0.110651 | 0.0553257 | − | 0.998468i | \(-0.482380\pi\) | ||||
0.0553257 | + | 0.998468i | \(0.482380\pi\) | |||||||
\(54\) | −5.03813 | − | 1.27170i | −0.685603 | − | 0.173056i | ||||
\(55\) | 15.8212 | 2.13333 | ||||||||
\(56\) | 0.300233 | − | 0.109276i | 0.0401203 | − | 0.0146026i | ||||
\(57\) | −1.02694 | − | 3.04952i | −0.136022 | − | 0.403919i | ||||
\(58\) | −3.33937 | + | 2.80206i | −0.438481 | + | 0.367929i | ||||
\(59\) | 0.517966 | + | 2.93753i | 0.0674334 | + | 0.382434i | 0.999782 | + | 0.0208736i | \(0.00664476\pi\) |
−0.932349 | + | 0.361560i | \(0.882244\pi\) | |||||||
\(60\) | −6.08577 | + | 0.921605i | −0.785670 | + | 0.118979i | ||||
\(61\) | −2.67705 | − | 2.24631i | −0.342761 | − | 0.287611i | 0.455114 | − | 0.890433i | \(-0.349598\pi\) |
−0.797876 | + | 0.602822i | \(0.794043\pi\) | |||||||
\(62\) | −0.335846 | + | 0.581702i | −0.0426525 | + | 0.0738763i | ||||
\(63\) | −0.518913 | + | 0.805889i | −0.0653769 | + | 0.101532i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.88720 | + | 16.3741i | −0.358113 | + | 2.03096i | ||||
\(66\) | −6.58267 | − | 4.01631i | −0.810271 | − | 0.494374i | ||||
\(67\) | −6.99437 | − | 2.54574i | −0.854498 | − | 0.311012i | −0.122625 | − | 0.992453i | \(-0.539131\pi\) |
−0.731873 | + | 0.681441i | \(0.761353\pi\) | |||||||
\(68\) | −1.06628 | − | 0.388093i | −0.129305 | − | 0.0470632i | ||||
\(69\) | −0.00605383 | + | 0.249708i | −0.000728795 | + | 0.0300614i | ||||
\(70\) | −0.197161 | + | 1.11816i | −0.0235652 | + | 0.133645i | ||||
\(71\) | 4.04928 | + | 7.01356i | 0.480561 | + | 0.832356i | 0.999751 | − | 0.0223028i | \(-0.00709978\pi\) |
−0.519190 | + | 0.854659i | \(0.673766\pi\) | |||||||
\(72\) | 2.76604 | + | 1.16146i | 0.325981 | + | 0.136880i | ||||
\(73\) | −7.30065 | + | 12.6451i | −0.854477 | + | 1.48000i | 0.0226526 | + | 0.999743i | \(0.492789\pi\) |
−0.877129 | + | 0.480254i | \(0.840545\pi\) | |||||||
\(74\) | 5.81333 | + | 4.87797i | 0.675786 | + | 0.567052i | ||||
\(75\) | 4.81879 | − | 12.3032i | 0.556426 | − | 1.42065i | ||||
\(76\) | 0.322602 | + | 1.82957i | 0.0370050 | + | 0.209866i | ||||
\(77\) | −1.08965 | + | 0.914324i | −0.124177 | + | 0.104197i | ||||
\(78\) | 5.35796 | − | 6.07981i | 0.606669 | − | 0.688403i | ||||
\(79\) | 11.8279 | − | 4.30501i | 1.33074 | − | 0.484351i | 0.423859 | − | 0.905728i | \(-0.360675\pi\) |
0.906886 | + | 0.421377i | \(0.138453\pi\) | |||||||
\(80\) | 3.55368 | 0.397314 | ||||||||
\(81\) | −8.71549 | + | 2.24503i | −0.968388 | + | 0.249448i | ||||
\(82\) | 2.17729 | 0.240442 | ||||||||
\(83\) | 5.08715 | − | 1.85157i | 0.558387 | − | 0.203236i | −0.0473820 | − | 0.998877i | \(-0.515088\pi\) |
0.605769 | + | 0.795641i | \(0.292866\pi\) | |||||||
\(84\) | 0.365883 | − | 0.415177i | 0.0399211 | − | 0.0452995i | ||||
\(85\) | 3.08899 | − | 2.59197i | 0.335048 | − | 0.281139i | ||||
\(86\) | −1.23250 | − | 6.98988i | −0.132904 | − | 0.753738i | ||||
\(87\) | −2.75360 | + | 7.03040i | −0.295216 | + | 0.753738i | ||||
\(88\) | 3.41047 | + | 2.86173i | 0.363558 | + | 0.305061i | ||||
\(89\) | −2.52624 | + | 4.37558i | −0.267781 | + | 0.463810i | −0.968288 | − | 0.249835i | \(-0.919624\pi\) |
0.700508 | + | 0.713645i | \(0.252957\pi\) | |||||||
\(90\) | −8.48932 | + | 6.44898i | −0.894853 | + | 0.679782i | ||||
\(91\) | −0.747430 | − | 1.29459i | −0.0783520 | − | 0.135710i | ||||
\(92\) | 0.0250421 | − | 0.142021i | 0.00261082 | − | 0.0148067i | ||||
\(93\) | −0.0281968 | + | 1.16306i | −0.00292387 | + | 0.120604i | ||||
\(94\) | 9.70378 | + | 3.53189i | 1.00087 | + | 0.364286i | ||||
\(95\) | −6.20385 | − | 2.25802i | −0.636502 | − | 0.231668i | ||||
\(96\) | −1.47857 | − | 0.902126i | −0.150906 | − | 0.0920728i | ||||
\(97\) | 3.24273 | − | 18.3904i | 0.329249 | − | 1.86726i | −0.148708 | − | 0.988881i | \(-0.547511\pi\) |
0.477957 | − | 0.878383i | \(-0.341377\pi\) | |||||||
\(98\) | 3.44896 | + | 5.97377i | 0.348398 | + | 0.603442i | ||||
\(99\) | −13.3405 | − | 0.647222i | −1.34077 | − | 0.0650483i | ||||
\(100\) | −3.81433 | + | 6.60661i | −0.381433 | + | 0.660661i | ||||
\(101\) | −1.85357 | − | 1.55533i | −0.184438 | − | 0.154761i | 0.545894 | − | 0.837854i | \(-0.316190\pi\) |
−0.730332 | + | 0.683093i | \(0.760634\pi\) | |||||||
\(102\) | −1.94322 | + | 0.294273i | −0.192407 | + | 0.0291374i | ||||
\(103\) | 0.346489 | + | 1.96504i | 0.0341406 | + | 0.193621i | 0.997108 | − | 0.0759967i | \(-0.0242138\pi\) |
−0.962967 | + | 0.269618i | \(0.913103\pi\) | |||||||
\(104\) | −3.58412 | + | 3.00743i | −0.351452 | + | 0.294903i | ||||
\(105\) | 0.627623 | + | 1.86374i | 0.0612498 | + | 0.181882i | ||||
\(106\) | −0.756973 | + | 0.275516i | −0.0735238 | + | 0.0267605i | ||||
\(107\) | 8.87072 | 0.857565 | 0.428783 | − | 0.903408i | \(-0.358943\pi\) | ||||
0.428783 | + | 0.903408i | \(0.358943\pi\) | |||||||
\(108\) | 5.16924 | − | 0.528140i | 0.497411 | − | 0.0508203i | ||||
\(109\) | −1.97204 | −0.188887 | −0.0944434 | − | 0.995530i | \(-0.530107\pi\) | ||||
−0.0944434 | + | 0.995530i | \(0.530107\pi\) | |||||||
\(110\) | −14.8671 | + | 5.41116i | −1.41752 | + | 0.515934i | ||||
\(111\) | 12.8853 | + | 2.59551i | 1.22302 | + | 0.246355i | ||||
\(112\) | −0.244752 | + | 0.205371i | −0.0231269 | + | 0.0194058i | ||||
\(113\) | −1.67200 | − | 9.48237i | −0.157288 | − | 0.892026i | −0.956664 | − | 0.291195i | \(-0.905947\pi\) |
0.799375 | − | 0.600832i | \(-0.205164\pi\) | |||||||
\(114\) | 2.00801 | + | 2.51438i | 0.188067 | + | 0.235493i | ||||
\(115\) | 0.392584 | + | 0.329417i | 0.0366087 | + | 0.0307183i | ||||
\(116\) | 2.17962 | − | 3.77521i | 0.202372 | − | 0.350519i | ||||
\(117\) | 3.10434 | − | 13.6886i | 0.286996 | − | 1.26551i | ||||
\(118\) | −1.49142 | − | 2.58322i | −0.137297 | − | 0.237805i | ||||
\(119\) | −0.0629545 | + | 0.357033i | −0.00577103 | + | 0.0327291i | ||||
\(120\) | 5.40355 | − | 2.94748i | 0.493274 | − | 0.269067i | ||||
\(121\) | −8.28884 | − | 3.01689i | −0.753530 | − | 0.274263i | ||||
\(122\) | 3.28389 | + | 1.19524i | 0.297309 | + | 0.108212i | ||||
\(123\) | 3.31068 | − | 1.80588i | 0.298514 | − | 0.162831i | ||||
\(124\) | 0.116638 | − | 0.661487i | 0.0104744 | − | 0.0594033i | ||||
\(125\) | −4.67070 | − | 8.08988i | −0.417760 | − | 0.723581i | ||||
\(126\) | 0.211989 | − | 0.934766i | 0.0188855 | − | 0.0832756i | ||||
\(127\) | −0.0796049 | + | 0.137880i | −0.00706379 | + | 0.0122348i | −0.869536 | − | 0.493870i | \(-0.835582\pi\) |
0.862472 | + | 0.506105i | \(0.168915\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −7.67160 | − | 9.60619i | −0.675447 | − | 0.845778i | ||||
\(130\) | −2.88720 | − | 16.3741i | −0.253224 | − | 1.43611i | ||||
\(131\) | −7.26657 | + | 6.09738i | −0.634883 | + | 0.532730i | −0.902442 | − | 0.430811i | \(-0.858227\pi\) |
0.267559 | + | 0.963542i | \(0.413783\pi\) | |||||||
\(132\) | 7.55935 | + | 1.52269i | 0.657957 | + | 0.132533i | ||||
\(133\) | 0.557770 | − | 0.203012i | 0.0483648 | − | 0.0176033i | ||||
\(134\) | 7.44325 | 0.642999 | ||||||||
\(135\) | −7.55953 | + | 16.8472i | −0.650621 | + | 1.44997i | ||||
\(136\) | 1.13471 | 0.0973004 | ||||||||
\(137\) | −11.0032 | + | 4.00484i | −0.940067 | + | 0.342156i | −0.766192 | − | 0.642611i | \(-0.777851\pi\) |
−0.173875 | + | 0.984768i | \(0.555629\pi\) | |||||||
\(138\) | −0.0797166 | − | 0.236720i | −0.00678593 | − | 0.0201509i | ||||
\(139\) | −4.02194 | + | 3.37481i | −0.341136 | + | 0.286247i | −0.797219 | − | 0.603690i | \(-0.793696\pi\) |
0.456083 | + | 0.889937i | \(0.349252\pi\) | |||||||
\(140\) | −0.197161 | − | 1.11816i | −0.0166631 | − | 0.0945014i | ||||
\(141\) | 17.6845 | − | 2.67807i | 1.48930 | − | 0.225534i | ||||
\(142\) | −6.20385 | − | 5.20565i | −0.520616 | − | 0.436849i | ||||
\(143\) | 10.4150 | − | 18.0393i | 0.870946 | − | 1.50852i | ||||
\(144\) | −2.99648 | − | 0.145376i | −0.249706 | − | 0.0121147i | ||||
\(145\) | 7.74567 | + | 13.4159i | 0.643243 | + | 1.11413i | ||||
\(146\) | 2.53549 | − | 14.3795i | 0.209839 | − | 1.19005i | ||||
\(147\) | 10.1991 | + | 6.22279i | 0.841204 | + | 0.513247i | ||||
\(148\) | −7.13111 | − | 2.59551i | −0.586174 | − | 0.213350i | ||||
\(149\) | 15.3097 | + | 5.57227i | 1.25422 | + | 0.456499i | 0.881825 | − | 0.471576i | \(-0.156315\pi\) |
0.372394 | + | 0.928075i | \(0.378537\pi\) | |||||||
\(150\) | −0.320242 | + | 13.2093i | −0.0261476 | + | 1.07854i | ||||
\(151\) | −2.71203 | + | 15.3807i | −0.220702 | + | 1.25166i | 0.650033 | + | 0.759906i | \(0.274755\pi\) |
−0.870734 | + | 0.491754i | \(0.836356\pi\) | |||||||
\(152\) | −0.928896 | − | 1.60890i | −0.0753434 | − | 0.130499i | ||||
\(153\) | −2.71068 | + | 2.05919i | −0.219146 | + | 0.166476i | ||||
\(154\) | 0.711218 | − | 1.23187i | 0.0573116 | − | 0.0992665i | ||||
\(155\) | 1.82853 | + | 1.53432i | 0.146871 | + | 0.123240i | ||||
\(156\) | −2.95541 | + | 7.54568i | −0.236623 | + | 0.604138i | ||||
\(157\) | 3.06168 | + | 17.3637i | 0.244349 | + | 1.38577i | 0.822000 | + | 0.569488i | \(0.192859\pi\) |
−0.577651 | + | 0.816284i | \(0.696030\pi\) | |||||||
\(158\) | −9.64221 | + | 8.09077i | −0.767093 | + | 0.643667i | ||||
\(159\) | −0.922498 | + | 1.04678i | −0.0731588 | + | 0.0830151i | ||||
\(160\) | −3.33937 | + | 1.21543i | −0.264000 | + | 0.0960882i | ||||
\(161\) | −0.0460757 | −0.00363128 | ||||||||
\(162\) | 7.42204 | − | 5.09052i | 0.583130 | − | 0.399949i | ||||
\(163\) | −15.8801 | −1.24382 | −0.621912 | − | 0.783087i | \(-0.713644\pi\) | ||||
−0.621912 | + | 0.783087i | \(0.713644\pi\) | |||||||
\(164\) | −2.04599 | + | 0.744678i | −0.159765 | + | 0.0581496i | ||||
\(165\) | −18.1180 | + | 20.5589i | −1.41048 | + | 1.60051i | ||||
\(166\) | −4.14708 | + | 3.47981i | −0.321876 | + | 0.270086i | ||||
\(167\) | −2.35787 | − | 13.3721i | −0.182457 | − | 1.03477i | −0.929179 | − | 0.369630i | \(-0.879484\pi\) |
0.746722 | − | 0.665137i | \(-0.231627\pi\) | |||||||
\(168\) | −0.201819 | + | 0.515278i | −0.0155707 | + | 0.0397546i | ||||
\(169\) | 6.81058 | + | 5.71475i | 0.523891 | + | 0.439596i | ||||
\(170\) | −2.01620 | + | 3.49215i | −0.154635 | + | 0.267836i | ||||
\(171\) | 5.13874 | + | 2.15776i | 0.392969 | + | 0.165008i | ||||
\(172\) | 3.54885 | + | 6.14680i | 0.270598 | + | 0.468689i | ||||
\(173\) | 1.11906 | − | 6.34650i | 0.0850805 | − | 0.482516i | −0.912259 | − | 0.409615i | \(-0.865663\pi\) |
0.997339 | − | 0.0729010i | \(-0.0232257\pi\) | |||||||
\(174\) | 0.182995 | − | 7.54820i | 0.0138728 | − | 0.572228i | ||||
\(175\) | 2.29037 | + | 0.833627i | 0.173136 | + | 0.0630163i | ||||
\(176\) | −4.18356 | − | 1.52269i | −0.315348 | − | 0.114777i | ||||
\(177\) | −4.41035 | − | 2.69090i | −0.331502 | − | 0.202261i | ||||
\(178\) | 0.877354 | − | 4.97572i | 0.0657605 | − | 0.372946i | ||||
\(179\) | 6.25613 | + | 10.8359i | 0.467605 | + | 0.809915i | 0.999315 | − | 0.0370111i | \(-0.0117837\pi\) |
−0.531710 | + | 0.846927i | \(0.678450\pi\) | |||||||
\(180\) | 5.77167 | − | 8.96358i | 0.430195 | − | 0.668106i | ||||
\(181\) | −0.152251 | + | 0.263707i | −0.0113168 | + | 0.0196012i | −0.871628 | − | 0.490167i | \(-0.836936\pi\) |
0.860312 | + | 0.509769i | \(0.170269\pi\) | |||||||
\(182\) | 1.14513 | + | 0.960878i | 0.0848827 | + | 0.0712250i | ||||
\(183\) | 5.98466 | − | 0.906293i | 0.442399 | − | 0.0669951i | ||||
\(184\) | 0.0250421 | + | 0.142021i | 0.00184613 | + | 0.0104699i | ||||
\(185\) | 20.6587 | − | 17.3347i | 1.51886 | − | 1.27448i | ||||
\(186\) | −0.371295 | − | 1.10257i | −0.0272246 | − | 0.0808440i | ||||
\(187\) | −4.74712 | + | 1.72781i | −0.347144 | + | 0.126350i | ||||
\(188\) | −10.3265 | −0.753141 | ||||||||
\(189\) | −0.452971 | − | 1.59718i | −0.0329488 | − | 0.116178i | ||||
\(190\) | 6.60200 | 0.478960 | ||||||||
\(191\) | 13.5247 | − | 4.92260i | 0.978615 | − | 0.356187i | 0.197313 | − | 0.980341i | \(-0.436778\pi\) |
0.781301 | + | 0.624154i | \(0.214556\pi\) | |||||||
\(192\) | 1.69795 | + | 0.342020i | 0.122539 | + | 0.0246832i | ||||
\(193\) | 2.33692 | − | 1.96090i | 0.168215 | − | 0.141149i | −0.554794 | − | 0.831988i | \(-0.687203\pi\) |
0.723009 | + | 0.690839i | \(0.242759\pi\) | |||||||
\(194\) | 3.24273 | + | 18.3904i | 0.232814 | + | 1.32036i | ||||
\(195\) | −17.9711 | − | 22.5030i | −1.28694 | − | 1.61147i | ||||
\(196\) | −5.28411 | − | 4.43390i | −0.377437 | − | 0.316707i | ||||
\(197\) | −11.1321 | + | 19.2814i | −0.793129 | + | 1.37374i | 0.130891 | + | 0.991397i | \(0.458216\pi\) |
−0.924020 | + | 0.382343i | \(0.875117\pi\) | |||||||
\(198\) | 12.7573 | − | 3.95452i | 0.906622 | − | 0.281036i | ||||
\(199\) | −12.2817 | − | 21.2725i | −0.870626 | − | 1.50797i | −0.861350 | − | 0.508012i | \(-0.830381\pi\) |
−0.00927642 | − | 0.999957i | \(-0.502953\pi\) | |||||||
\(200\) | 1.32470 | − | 7.51276i | 0.0936705 | − | 0.531232i | ||||
\(201\) | 11.3178 | − | 6.17355i | 0.798298 | − | 0.435449i | ||||
\(202\) | 2.27375 | + | 0.827576i | 0.159980 | + | 0.0582280i | ||||
\(203\) | −1.30878 | − | 0.476359i | −0.0918587 | − | 0.0334338i | ||||
\(204\) | 1.72538 | − | 0.941146i | 0.120801 | − | 0.0658934i | ||||
\(205\) | 1.34359 | − | 7.61986i | 0.0938402 | − | 0.532194i | ||||
\(206\) | −0.997676 | − | 1.72802i | −0.0695114 | − | 0.120397i | ||||
\(207\) | −0.317552 | − | 0.293826i | −0.0220714 | − | 0.0204223i | ||||
\(208\) | 2.33937 | − | 4.05190i | 0.162206 | − | 0.280949i | ||||
\(209\) | 6.33595 | + | 5.31649i | 0.438267 | + | 0.367750i | ||||
\(210\) | −1.22721 | − | 1.53668i | −0.0846855 | − | 0.106041i | ||||
\(211\) | −0.524297 | − | 2.97344i | −0.0360941 | − | 0.204700i | 0.961428 | − | 0.275058i | \(-0.0886970\pi\) |
−0.997522 | + | 0.0703579i | \(0.977586\pi\) | |||||||
\(212\) | 0.617090 | − | 0.517800i | 0.0423819 | − | 0.0355627i | ||||
\(213\) | −13.7509 | − | 2.76987i | −0.942197 | − | 0.189788i | ||||
\(214\) | −8.33575 | + | 3.03397i | −0.569820 | + | 0.207398i | ||||
\(215\) | −25.2230 | −1.72019 | ||||||||
\(216\) | −4.67686 | + | 2.26427i | −0.318220 | + | 0.154064i | ||||
\(217\) | −0.214606 | −0.0145684 | ||||||||
\(218\) | 1.85311 | − | 0.674476i | 0.125508 | − | 0.0456813i | ||||
\(219\) | −8.07124 | − | 23.9677i | −0.545404 | − | 1.61959i | ||||
\(220\) | 12.1197 | − | 10.1697i | 0.817112 | − | 0.685638i | ||||
\(221\) | −0.921898 | − | 5.22835i | −0.0620136 | − | 0.351697i | ||||
\(222\) | −12.9960 | + | 1.96806i | −0.872232 | + | 0.132087i | ||||
\(223\) | 7.64543 | + | 6.41527i | 0.511976 | + | 0.429599i | 0.861824 | − | 0.507208i | \(-0.169322\pi\) |
−0.349848 | + | 0.936806i | \(0.613767\pi\) | |||||||
\(224\) | 0.159750 | − | 0.276696i | 0.0106738 | − | 0.0184875i | ||||
\(225\) | 10.4691 | + | 20.3510i | 0.697940 | + | 1.35674i | ||||
\(226\) | 4.81433 | + | 8.33866i | 0.320244 | + | 0.554679i | ||||
\(227\) | −3.66786 | + | 20.8015i | −0.243444 | + | 1.38064i | 0.580633 | + | 0.814165i | \(0.302805\pi\) |
−0.824078 | + | 0.566477i | \(0.808306\pi\) | |||||||
\(228\) | −2.74688 | − | 1.67596i | −0.181916 | − | 0.110993i | ||||
\(229\) | 21.8767 | + | 7.96248i | 1.44566 | + | 0.526176i | 0.941374 | − | 0.337364i | \(-0.109535\pi\) |
0.504281 | + | 0.863539i | \(0.331757\pi\) | |||||||
\(230\) | −0.481576 | − | 0.175279i | −0.0317542 | − | 0.0115576i | ||||
\(231\) | 0.0597121 | − | 2.46301i | 0.00392877 | − | 0.162054i | ||||
\(232\) | −0.756973 | + | 4.29301i | −0.0496977 | + | 0.281850i | ||||
\(233\) | −13.3621 | − | 23.1439i | −0.875383 | − | 1.51621i | −0.856354 | − | 0.516390i | \(-0.827276\pi\) |
−0.0190296 | − | 0.999819i | \(-0.506058\pi\) | |||||||
\(234\) | 1.76466 | + | 13.9248i | 0.115359 | + | 0.910295i | ||||
\(235\) | 18.3486 | − | 31.7808i | 1.19693 | − | 2.07315i | ||||
\(236\) | 2.28499 | + | 1.91734i | 0.148740 | + | 0.124808i | ||||
\(237\) | −7.95083 | + | 20.2998i | −0.516462 | + | 1.31861i | ||||
\(238\) | −0.0629545 | − | 0.357033i | −0.00408073 | − | 0.0231430i | ||||
\(239\) | −18.4309 | + | 15.4654i | −1.19220 | + | 1.00037i | −0.192379 | + | 0.981321i | \(0.561620\pi\) |
−0.999818 | + | 0.0190518i | \(0.993935\pi\) | |||||||
\(240\) | −4.06957 | + | 4.61785i | −0.262690 | + | 0.298081i | ||||
\(241\) | 1.40157 | − | 0.510130i | 0.0902831 | − | 0.0328604i | −0.296484 | − | 0.955038i | \(-0.595814\pi\) |
0.386767 | + | 0.922178i | \(0.373592\pi\) | |||||||
\(242\) | 8.82079 | 0.567022 | ||||||||
\(243\) | 7.06341 | − | 13.8963i | 0.453118 | − | 0.891451i | ||||
\(244\) | −3.49464 | −0.223721 | ||||||||
\(245\) | 23.0347 | − | 8.38394i | 1.47163 | − | 0.535630i | ||||
\(246\) | −2.49337 | + | 2.82929i | −0.158972 | + | 0.180389i | ||||
\(247\) | −6.65855 | + | 5.58719i | −0.423674 | + | 0.355504i | ||||
\(248\) | 0.116638 | + | 0.661487i | 0.00740653 | + | 0.0420045i | ||||
\(249\) | −3.41962 | + | 8.73088i | −0.216710 | + | 0.553297i | ||||
\(250\) | 7.15592 | + | 6.00453i | 0.452580 | + | 0.379760i | ||||
\(251\) | −7.28748 | + | 12.6223i | −0.459982 | + | 0.796711i | −0.998959 | − | 0.0456086i | \(-0.985477\pi\) |
0.538978 | + | 0.842320i | \(0.318811\pi\) | |||||||
\(252\) | 0.120505 | + | 0.950897i | 0.00759107 | + | 0.0599009i | ||||
\(253\) | −0.321019 | − | 0.556021i | −0.0201823 | − | 0.0349568i | ||||
\(254\) | 0.0276465 | − | 0.156791i | 0.00173469 | − | 0.00983794i | ||||
\(255\) | −0.169275 | + | 6.98226i | −0.0106004 | + | 0.437246i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 10.3598 | + | 3.77064i | 0.646224 | + | 0.235206i | 0.644277 | − | 0.764792i | \(-0.277158\pi\) |
0.00194649 | + | 0.999998i | \(0.499380\pi\) | |||||||
\(258\) | 10.4945 | + | 6.40303i | 0.653357 | + | 0.398635i | ||||
\(259\) | −0.421030 | + | 2.38778i | −0.0261616 | + | 0.148370i | ||||
\(260\) | 8.31337 | + | 14.3992i | 0.515573 | + | 0.892999i | ||||
\(261\) | −5.98235 | − | 11.6292i | −0.370298 | − | 0.719829i | ||||
\(262\) | 4.74292 | − | 8.21497i | 0.293018 | − | 0.507523i | ||||
\(263\) | −10.0659 | − | 8.44626i | −0.620688 | − | 0.520819i | 0.277332 | − | 0.960774i | \(-0.410550\pi\) |
−0.898020 | + | 0.439955i | \(0.854994\pi\) | |||||||
\(264\) | −7.62426 | + | 1.15459i | −0.469241 | + | 0.0710599i | ||||
\(265\) | 0.497100 | + | 2.81919i | 0.0305366 | + | 0.173182i | ||||
\(266\) | −0.454698 | + | 0.381537i | −0.0278793 | + | 0.0233935i | ||||
\(267\) | −2.79289 | − | 8.29352i | −0.170922 | − | 0.507555i | ||||
\(268\) | −6.99437 | + | 2.54574i | −0.427249 | + | 0.155506i | ||||
\(269\) | −10.3086 | −0.628528 | −0.314264 | − | 0.949336i | \(-0.601758\pi\) | ||||
−0.314264 | + | 0.949336i | \(0.601758\pi\) | |||||||
\(270\) | 1.34156 | − | 18.4167i | 0.0816448 | − | 1.12080i | ||||
\(271\) | 1.01454 | 0.0616288 | 0.0308144 | − | 0.999525i | \(-0.490190\pi\) | ||||
0.0308144 | + | 0.999525i | \(0.490190\pi\) | |||||||
\(272\) | −1.06628 | + | 0.388093i | −0.0646525 | + | 0.0235316i | ||||
\(273\) | 2.53819 | + | 0.511272i | 0.153618 | + | 0.0309436i | ||||
\(274\) | 8.96989 | − | 7.52663i | 0.541891 | − | 0.454700i | ||||
\(275\) | 5.89764 | + | 33.4472i | 0.355641 | + | 2.01694i | ||||
\(276\) | 0.155872 | + | 0.195179i | 0.00938239 | + | 0.0117484i | ||||
\(277\) | −8.29755 | − | 6.96247i | −0.498552 | − | 0.418334i | 0.358528 | − | 0.933519i | \(-0.383279\pi\) |
−0.857079 | + | 0.515185i | \(0.827723\pi\) | |||||||
\(278\) | 2.62513 | − | 4.54686i | 0.157445 | − | 0.272703i | ||||
\(279\) | −1.47906 | − | 1.36855i | −0.0885488 | − | 0.0819327i | ||||
\(280\) | 0.567702 | + | 0.983289i | 0.0339267 | + | 0.0587628i | ||||
\(281\) | −1.47197 | + | 8.34795i | −0.0878103 | + | 0.497997i | 0.908904 | + | 0.417004i | \(0.136920\pi\) |
−0.996715 | + | 0.0809924i | \(0.974191\pi\) | |||||||
\(282\) | −15.7020 | + | 8.56501i | −0.935041 | + | 0.510039i | ||||
\(283\) | −5.92408 | − | 2.15619i | −0.352150 | − | 0.128172i | 0.159887 | − | 0.987135i | \(-0.448887\pi\) |
−0.512037 | + | 0.858963i | \(0.671109\pi\) | |||||||
\(284\) | 7.61015 | + | 2.76987i | 0.451580 | + | 0.164362i | ||||
\(285\) | 10.0387 | − | 5.47581i | 0.594639 | − | 0.324359i | ||||
\(286\) | −3.61709 | + | 20.5135i | −0.213883 | + | 1.21299i | ||||
\(287\) | 0.347824 | + | 0.602448i | 0.0205314 | + | 0.0355614i | ||||
\(288\) | 2.86549 | − | 0.888246i | 0.168850 | − | 0.0523404i | ||||
\(289\) | 7.85622 | − | 13.6074i | 0.462130 | − | 0.800434i | ||||
\(290\) | −11.8671 | − | 9.95764i | −0.696857 | − | 0.584733i | ||||
\(291\) | 20.1840 | + | 25.2740i | 1.18321 | + | 1.48159i | ||||
\(292\) | 2.53549 | + | 14.3795i | 0.148378 | + | 0.841495i | ||||
\(293\) | −1.86383 | + | 1.56394i | −0.108886 | + | 0.0913662i | −0.695605 | − | 0.718424i | \(-0.744864\pi\) |
0.586719 | + | 0.809790i | \(0.300419\pi\) | |||||||
\(294\) | −11.7123 | − | 2.35923i | −0.683075 | − | 0.137593i | ||||
\(295\) | −9.96083 | + | 3.62544i | −0.579942 | + | 0.211082i | ||||
\(296\) | 7.58877 | 0.441088 | ||||||||
\(297\) | 16.1182 | − | 16.5942i | 0.935271 | − | 0.962891i | ||||
\(298\) | −16.2922 | −0.943784 | ||||||||
\(299\) | 0.634037 | − | 0.230771i | 0.0366673 | − | 0.0133458i | ||||
\(300\) | −4.21693 | − | 12.5222i | −0.243465 | − | 0.722972i | ||||
\(301\) | 1.73718 | − | 1.45767i | 0.100129 | − | 0.0840184i | ||||
\(302\) | −2.71203 | − | 15.3807i | −0.156060 | − | 0.885058i | ||||
\(303\) | 4.14375 | − | 0.627512i | 0.238052 | − | 0.0360496i | ||||
\(304\) | 1.42315 | + | 1.19417i | 0.0816233 | + | 0.0684901i | ||||
\(305\) | 6.20942 | − | 10.7550i | 0.355550 | − | 0.615831i | ||||
\(306\) | 1.84292 | − | 2.86212i | 0.105353 | − | 0.163616i | ||||
\(307\) | 11.8629 | + | 20.5471i | 0.677050 | + | 1.17269i | 0.975865 | + | 0.218374i | \(0.0700754\pi\) |
−0.298815 | + | 0.954311i | \(0.596591\pi\) | |||||||
\(308\) | −0.247003 | + | 1.40083i | −0.0140743 | + | 0.0798194i | ||||
\(309\) | −2.95027 | − | 1.80006i | −0.167835 | − | 0.102402i | ||||
\(310\) | −2.24303 | − | 0.816395i | −0.127395 | − | 0.0463681i | ||||
\(311\) | 10.1493 | + | 3.69403i | 0.575511 | + | 0.209469i | 0.613345 | − | 0.789815i | \(-0.289824\pi\) |
−0.0378338 | + | 0.999284i | \(0.512046\pi\) | |||||||
\(312\) | 0.196408 | − | 8.10143i | 0.0111194 | − | 0.458653i | ||||
\(313\) | −2.75948 | + | 15.6498i | −0.155975 | + | 0.884577i | 0.801914 | + | 0.597439i | \(0.203815\pi\) |
−0.957889 | + | 0.287138i | \(0.907296\pi\) | |||||||
\(314\) | −8.81577 | − | 15.2694i | −0.497503 | − | 0.861700i | ||||
\(315\) | −3.14058 | − | 1.31873i | −0.176952 | − | 0.0743021i | ||||
\(316\) | 6.29350 | − | 10.9007i | 0.354037 | − | 0.613210i | ||||
\(317\) | −2.47819 | − | 2.07944i | −0.139189 | − | 0.116793i | 0.570535 | − | 0.821273i | \(-0.306736\pi\) |
−0.709724 | + | 0.704480i | \(0.751180\pi\) | |||||||
\(318\) | 0.508844 | − | 1.29917i | 0.0285346 | − | 0.0728536i | ||||
\(319\) | −3.37009 | − | 19.1127i | −0.188689 | − | 1.07011i | ||||
\(320\) | 2.72228 | − | 2.28426i | 0.152180 | − | 0.127694i | ||||
\(321\) | −10.1585 | + | 11.5271i | −0.566992 | + | 0.643380i | ||||
\(322\) | 0.0432970 | − | 0.0157588i | 0.00241285 | − | 0.000878205i | ||||
\(323\) | 2.10805 | 0.117295 | ||||||||
\(324\) | −5.23337 | + | 7.32201i | −0.290743 | + | 0.406778i | ||||
\(325\) | −35.6925 | −1.97986 | ||||||||
\(326\) | 14.9224 | − | 5.43131i | 0.826475 | − | 0.300812i | ||||
\(327\) | 2.25832 | − | 2.56257i | 0.124885 | − | 0.141711i | ||||
\(328\) | 1.66790 | − | 1.39954i | 0.0920946 | − | 0.0772765i | ||||
\(329\) | 0.572924 | + | 3.24922i | 0.0315863 | + | 0.179135i | ||||
\(330\) | 9.99376 | − | 25.5158i | 0.550138 | − | 1.40460i | ||||
\(331\) | −13.5311 | − | 11.3540i | −0.743739 | − | 0.624071i | 0.190100 | − | 0.981765i | \(-0.439119\pi\) |
−0.933839 | + | 0.357693i | \(0.883563\pi\) | |||||||
\(332\) | 2.70681 | − | 4.68834i | 0.148556 | − | 0.257306i | ||||
\(333\) | −18.1287 | + | 13.7716i | −0.993444 | + | 0.754678i | ||||
\(334\) | 6.78921 | + | 11.7593i | 0.371489 | + | 0.643438i | ||||
\(335\) | 4.59316 | − | 26.0491i | 0.250951 | − | 1.42321i | ||||
\(336\) | 0.0134123 | − | 0.553229i | 0.000731699 | − | 0.0301811i | ||||
\(337\) | 9.90706 | + | 3.60588i | 0.539672 | + | 0.196425i | 0.597452 | − | 0.801905i | \(-0.296180\pi\) |
−0.0577798 | + | 0.998329i | \(0.518402\pi\) | |||||||
\(338\) | −8.35441 | − | 3.04076i | −0.454420 | − | 0.165395i | ||||
\(339\) | 14.2366 | + | 8.68625i | 0.773228 | + | 0.471773i | ||||
\(340\) | 0.700218 | − | 3.97113i | 0.0379746 | − | 0.215365i | ||||
\(341\) | −1.49520 | − | 2.58977i | −0.0809699 | − | 0.140244i | ||||
\(342\) | −5.56683 | − | 0.270079i | −0.301020 | − | 0.0146042i | ||||
\(343\) | −2.22020 | + | 3.84550i | −0.119879 | + | 0.207637i | ||||
\(344\) | −5.43716 | − | 4.56232i | −0.293152 | − | 0.245984i | ||||
\(345\) | −0.877639 | + | 0.132906i | −0.0472505 | + | 0.00715543i | ||||
\(346\) | 1.11906 | + | 6.34650i | 0.0601610 | + | 0.341190i | ||||
\(347\) | 24.9000 | − | 20.8936i | 1.33670 | − | 1.12163i | 0.354243 | − | 0.935153i | \(-0.384739\pi\) |
0.982460 | − | 0.186473i | \(-0.0597058\pi\) | |||||||
\(348\) | 2.40968 | + | 7.15558i | 0.129172 | + | 0.383579i | ||||
\(349\) | 18.8599 | − | 6.86444i | 1.00955 | − | 0.367445i | 0.216289 | − | 0.976329i | \(-0.430605\pi\) |
0.793259 | + | 0.608884i | \(0.208383\pi\) | |||||||
\(350\) | −2.43736 | −0.130282 | ||||||||
\(351\) | 14.2327 | + | 19.7098i | 0.759687 | + | 1.05203i | ||||
\(352\) | 4.45206 | 0.237295 | ||||||||
\(353\) | −10.3705 | + | 3.77455i | −0.551966 | + | 0.200899i | −0.602920 | − | 0.797802i | \(-0.705996\pi\) |
0.0509539 | + | 0.998701i | \(0.483774\pi\) | |||||||
\(354\) | 5.06472 | + | 1.02019i | 0.269187 | + | 0.0542227i | ||||
\(355\) | −22.0465 | + | 18.4992i | −1.17011 | + | 0.981837i | ||||
\(356\) | 0.877354 | + | 4.97572i | 0.0464997 | + | 0.263713i | ||||
\(357\) | −0.391854 | − | 0.490670i | −0.0207391 | − | 0.0259690i | ||||
\(358\) | −9.58494 | − | 8.04272i | −0.506580 | − | 0.425071i | ||||
\(359\) | 1.96044 | − | 3.39557i | 0.103468 | − | 0.179212i | −0.809643 | − | 0.586922i | \(-0.800339\pi\) |
0.913111 | + | 0.407711i | \(0.133673\pi\) | |||||||
\(360\) | −2.35787 | + | 10.3970i | −0.124271 | + | 0.547972i | ||||
\(361\) | 7.77430 | + | 13.4655i | 0.409174 | + | 0.708710i | ||||
\(362\) | 0.0528764 | − | 0.299877i | 0.00277912 | − | 0.0157612i | ||||
\(363\) | 13.4124 | − | 7.31611i | 0.703971 | − | 0.383996i | ||||
\(364\) | −1.40471 | − | 0.511272i | −0.0736268 | − | 0.0267980i | ||||
\(365\) | −48.7591 | − | 17.7469i | −2.55217 | − | 0.928914i | ||||
\(366\) | −5.31377 | + | 2.89851i | −0.277755 | + | 0.151508i | ||||
\(367\) | 5.06206 | − | 28.7084i | 0.264237 | − | 1.49856i | −0.506961 | − | 0.861969i | \(-0.669231\pi\) |
0.771198 | − | 0.636595i | \(-0.219658\pi\) | |||||||
\(368\) | −0.0721058 | − | 0.124891i | −0.00375878 | − | 0.00651039i | ||||
\(369\) | −1.44463 | + | 6.37013i | −0.0752047 | + | 0.331615i | ||||
\(370\) | −13.4840 | + | 23.3550i | −0.701001 | + | 1.21417i | ||||
\(371\) | −0.197161 | − | 0.165438i | −0.0102361 | − | 0.00858909i | ||||
\(372\) | 0.726002 | + | 0.909082i | 0.0376415 | + | 0.0471337i | ||||
\(373\) | 1.08909 | + | 6.17653i | 0.0563909 | + | 0.319809i | 0.999935 | − | 0.0114395i | \(-0.00364140\pi\) |
−0.943544 | + | 0.331248i | \(0.892530\pi\) | |||||||
\(374\) | 3.86989 | − | 3.24722i | 0.200107 | − | 0.167910i | ||||
\(375\) | 15.8612 | + | 3.19494i | 0.819068 | + | 0.164986i | ||||
\(376\) | 9.70378 | − | 3.53189i | 0.500434 | − | 0.182143i | ||||
\(377\) | 20.3957 | 1.05043 | ||||||||
\(378\) | 0.971923 | + | 1.34594i | 0.0499903 | + | 0.0692276i | ||||
\(379\) | −26.9562 | −1.38465 | −0.692324 | − | 0.721587i | \(-0.743413\pi\) | ||||
−0.692324 | + | 0.721587i | \(0.743413\pi\) | |||||||
\(380\) | −6.20385 | + | 2.25802i | −0.318251 | + | 0.115834i | ||||
\(381\) | −0.0880072 | − | 0.261339i | −0.00450874 | − | 0.0133888i | ||||
\(382\) | −11.0255 | + | 9.25146i | −0.564111 | + | 0.473346i | ||||
\(383\) | −0.565446 | − | 3.20680i | −0.0288929 | − | 0.163860i | 0.966947 | − | 0.254976i | \(-0.0820676\pi\) |
−0.995840 | + | 0.0911163i | \(0.970957\pi\) | |||||||
\(384\) | −1.71253 | + | 0.259338i | −0.0873920 | + | 0.0132343i | ||||
\(385\) | −3.87226 | − | 3.24922i | −0.197349 | − | 0.165595i | ||||
\(386\) | −1.52531 | + | 2.64192i | −0.0776364 | + | 0.134470i | ||||
\(387\) | 21.2681 | + | 1.03184i | 1.08112 | + | 0.0524512i | ||||
\(388\) | −9.33706 | − | 16.1723i | −0.474018 | − | 0.821022i | ||||
\(389\) | 0.241315 | − | 1.36857i | 0.0122352 | − | 0.0693891i | −0.978079 | − | 0.208235i | \(-0.933228\pi\) |
0.990314 | + | 0.138846i | \(0.0443392\pi\) | |||||||
\(390\) | 24.5838 | + | 14.9994i | 1.24485 | + | 0.759525i | ||||
\(391\) | −0.153770 | − | 0.0559675i | −0.00777646 | − | 0.00283040i | ||||
\(392\) | 6.48192 | + | 2.35923i | 0.327387 | + | 0.119159i | ||||
\(393\) | 0.398204 | − | 16.4251i | 0.0200867 | − | 0.828538i | ||||
\(394\) | 3.86614 | − | 21.9260i | 0.194773 | − | 1.10461i | ||||
\(395\) | 22.3651 | + | 38.7375i | 1.12531 | + | 1.94909i | ||||
\(396\) | −10.6354 | + | 8.07929i | −0.534450 | + | 0.406000i | ||||
\(397\) | −1.07010 | + | 1.85347i | −0.0537069 | + | 0.0930230i | −0.891629 | − | 0.452767i | \(-0.850437\pi\) |
0.837922 | + | 0.545790i | \(0.183770\pi\) | |||||||
\(398\) | 18.8167 | + | 15.7890i | 0.943193 | + | 0.791433i | ||||
\(399\) | −0.374938 | + | 0.957280i | −0.0187704 | + | 0.0479239i | ||||
\(400\) | 1.32470 | + | 7.51276i | 0.0662351 | + | 0.375638i | ||||
\(401\) | −6.55222 | + | 5.49796i | −0.327202 | + | 0.274555i | −0.791559 | − | 0.611093i | \(-0.790730\pi\) |
0.464357 | + | 0.885648i | \(0.346286\pi\) | |||||||
\(402\) | −8.52379 | + | 9.67216i | −0.425128 | + | 0.482404i | ||||
\(403\) | 2.95314 | − | 1.07486i | 0.147107 | − | 0.0535424i | ||||
\(404\) | −2.41967 | −0.120383 | ||||||||
\(405\) | −13.2352 | − | 29.1162i | −0.657661 | − | 1.44679i | ||||
\(406\) | 1.39278 | 0.0691225 | ||||||||
\(407\) | −31.7481 | + | 11.5554i | −1.57369 | + | 0.572778i | ||||
\(408\) | −1.29944 | + | 1.47450i | −0.0643316 | + | 0.0729987i | ||||
\(409\) | 20.8915 | − | 17.5300i | 1.03302 | − | 0.866804i | 0.0418096 | − | 0.999126i | \(-0.486688\pi\) |
0.991207 | + | 0.132322i | \(0.0422433\pi\) | |||||||
\(410\) | 1.34359 | + | 7.61986i | 0.0663550 | + | 0.376318i | ||||
\(411\) | 7.39644 | − | 18.8844i | 0.364840 | − | 0.931498i | ||||
\(412\) | 1.52853 | + | 1.28259i | 0.0753052 | + | 0.0631885i | ||||
\(413\) | 0.476511 | − | 0.825342i | 0.0234476 | − | 0.0406124i | ||||
\(414\) | 0.398896 | + | 0.167497i | 0.0196047 | + | 0.00823201i | ||||
\(415\) | 9.61916 | + | 16.6609i | 0.472186 | + | 0.817850i | ||||
\(416\) | −0.812454 | + | 4.60766i | −0.0398338 | + | 0.225909i | ||||
\(417\) | 0.220400 | − | 9.09106i | 0.0107930 | − | 0.445191i | ||||
\(418\) | −7.77219 | − | 2.82885i | −0.380150 | − | 0.138363i | ||||
\(419\) | −15.0495 | − | 5.47757i | −0.735216 | − | 0.267597i | −0.0528448 | − | 0.998603i | \(-0.516829\pi\) |
−0.682371 | + | 0.731006i | \(0.739051\pi\) | |||||||
\(420\) | 1.67877 | + | 1.02428i | 0.0819158 | + | 0.0499796i | ||||
\(421\) | −3.15120 | + | 17.8713i | −0.153580 | + | 0.870995i | 0.806493 | + | 0.591244i | \(0.201363\pi\) |
−0.960073 | + | 0.279751i | \(0.909748\pi\) | |||||||
\(422\) | 1.50965 | + | 2.61480i | 0.0734888 | + | 0.127286i | ||||
\(423\) | −16.7717 | + | 26.0470i | −0.815469 | + | 1.26645i | ||||
\(424\) | −0.402777 | + | 0.697630i | −0.0195606 | + | 0.0338799i | ||||
\(425\) | 6.63111 | + | 5.56416i | 0.321656 | + | 0.269901i | ||||
\(426\) | 13.8690 | − | 2.10026i | 0.671954 | − | 0.101758i | ||||
\(427\) | 0.193885 | + | 1.09958i | 0.00938276 | + | 0.0532123i | ||||
\(428\) | 6.79537 | − | 5.70199i | 0.328467 | − | 0.275616i | ||||
\(429\) | 11.5143 | + | 34.1919i | 0.555916 | + | 1.65080i | ||||
\(430\) | 23.7019 | − | 8.62677i | 1.14301 | − | 0.416020i | ||||
\(431\) | 2.13698 | 0.102935 | 0.0514673 | − | 0.998675i | \(-0.483610\pi\) | ||||
0.0514673 | + | 0.998675i | \(0.483610\pi\) | |||||||
\(432\) | 3.62039 | − | 3.72730i | 0.174186 | − | 0.179330i | ||||
\(433\) | 25.1733 | 1.20975 | 0.604876 | − | 0.796320i | \(-0.293223\pi\) | ||||
0.604876 | + | 0.796320i | \(0.293223\pi\) | |||||||
\(434\) | 0.201664 | − | 0.0733996i | 0.00968017 | − | 0.00352329i | ||||
\(435\) | −26.3035 | − | 5.29835i | −1.26115 | − | 0.254036i | ||||
\(436\) | −1.51067 | + | 1.26760i | −0.0723478 | + | 0.0607071i | ||||
\(437\) | 0.0465230 | + | 0.263845i | 0.00222550 | + | 0.0126214i | ||||
\(438\) | 15.7819 | + | 19.7617i | 0.754089 | + | 0.944252i | ||||
\(439\) | 19.8037 | + | 16.6173i | 0.945179 | + | 0.793099i | 0.978479 | − | 0.206346i | \(-0.0661573\pi\) |
−0.0333002 | + | 0.999445i | \(0.510602\pi\) | |||||||
\(440\) | −7.91059 | + | 13.7015i | −0.377123 | + | 0.653196i | ||||
\(441\) | −19.7659 | + | 6.12705i | −0.941233 | + | 0.291764i | ||||
\(442\) | 2.65450 | + | 4.59773i | 0.126262 | + | 0.218692i | ||||
\(443\) | 2.42041 | − | 13.7268i | 0.114997 | − | 0.652181i | −0.871755 | − | 0.489943i | \(-0.837018\pi\) |
0.986752 | − | 0.162238i | \(-0.0518713\pi\) | |||||||
\(444\) | 11.5391 | − | 6.29425i | 0.547621 | − | 0.298712i | ||||
\(445\) | −16.8721 | − | 6.14094i | −0.799814 | − | 0.291108i | ||||
\(446\) | −9.37850 | − | 3.41350i | −0.444085 | − | 0.161634i | ||||
\(447\) | −24.7731 | + | 13.5131i | −1.17173 | + | 0.639145i | ||||
\(448\) | −0.0554807 | + | 0.314647i | −0.00262122 | + | 0.0148657i | ||||
\(449\) | −14.5769 | − | 25.2479i | −0.687927 | − | 1.19152i | −0.972507 | − | 0.232872i | \(-0.925188\pi\) |
0.284581 | − | 0.958652i | \(-0.408146\pi\) | |||||||
\(450\) | −16.7982 | − | 15.5431i | −0.791875 | − | 0.732708i | ||||
\(451\) | −4.84672 | + | 8.39476i | −0.228223 | + | 0.395294i | ||||
\(452\) | −7.37598 | − | 6.18918i | −0.346937 | − | 0.291114i | ||||
\(453\) | −16.8807 | − | 21.1376i | −0.793126 | − | 0.993133i | ||||
\(454\) | −3.66786 | − | 20.8015i | −0.172141 | − | 0.976261i | ||||
\(455\) | 4.06943 | − | 3.41465i | 0.190778 | − | 0.160081i | ||||
\(456\) | 3.15443 | + | 0.635402i | 0.147720 | + | 0.0297554i | ||||
\(457\) | −22.3630 | + | 8.13945i | −1.04609 | + | 0.380747i | −0.807188 | − | 0.590295i | \(-0.799011\pi\) |
−0.238907 | + | 0.971042i | \(0.576789\pi\) | |||||||
\(458\) | −23.2807 | −1.08784 | ||||||||
\(459\) | 0.428367 | − | 5.88054i | 0.0199945 | − | 0.274480i | ||||
\(460\) | 0.512482 | 0.0238946 | ||||||||
\(461\) | −28.9550 | + | 10.5388i | −1.34857 | + | 0.490839i | −0.912501 | − | 0.409074i | \(-0.865852\pi\) |
−0.436069 | + | 0.899913i | \(0.643630\pi\) | |||||||
\(462\) | 0.786287 | + | 2.33489i | 0.0365814 | + | 0.108629i | ||||
\(463\) | 27.6849 | − | 23.2304i | 1.28663 | − | 1.07961i | 0.294334 | − | 0.955703i | \(-0.404902\pi\) |
0.992294 | − | 0.123907i | \(-0.0395424\pi\) | |||||||
\(464\) | −0.756973 | − | 4.29301i | −0.0351416 | − | 0.199298i | ||||
\(465\) | −4.08776 | + | 0.619035i | −0.189565 | + | 0.0287070i | ||||
\(466\) | 20.4720 | + | 17.1780i | 0.948347 | + | 0.795758i | ||||
\(467\) | 18.4877 | − | 32.0217i | 0.855509 | − | 1.48179i | −0.0206626 | − | 0.999787i | \(-0.506578\pi\) |
0.876172 | − | 0.481999i | \(-0.160089\pi\) | |||||||
\(468\) | −6.42081 | − | 12.4815i | −0.296802 | − | 0.576959i | ||||
\(469\) | 1.18906 | + | 2.05952i | 0.0549058 | + | 0.0950996i | ||||
\(470\) | −6.37241 | + | 36.1397i | −0.293937 | + | 1.66700i | ||||
\(471\) | −26.0695 | − | 15.9059i | −1.20122 | − | 0.732904i | ||||
\(472\) | −2.80296 | − | 1.02019i | −0.129017 | − | 0.0469582i | ||||
\(473\) | 29.6937 | + | 10.8076i | 1.36532 | + | 0.496935i | ||||
\(474\) | 0.528387 | − | 21.7949i | 0.0242696 | − | 1.00107i | ||||
\(475\) | 2.46102 | − | 13.9571i | 0.112919 | − | 0.640398i | ||||
\(476\) | 0.181270 | + | 0.313969i | 0.00830850 | + | 0.0143908i | ||||
\(477\) | −0.303827 | − | 2.39749i | −0.0139113 | − | 0.109773i | ||||
\(478\) | 12.0299 | − | 20.8365i | 0.550236 | − | 0.953037i | ||||
\(479\) | 29.4015 | + | 24.6708i | 1.34339 | + | 1.12724i | 0.980741 | + | 0.195311i | \(0.0625715\pi\) |
0.362647 | + | 0.931926i | \(0.381873\pi\) | |||||||
\(480\) | 2.24475 | − | 5.73123i | 0.102458 | − | 0.261594i | ||||
\(481\) | −6.16553 | − | 34.9664i | −0.281124 | − | 1.59433i | ||||
\(482\) | −1.14257 | + | 0.958731i | −0.0520427 | + | 0.0436690i | ||||
\(483\) | 0.0527646 | − | 0.0598733i | 0.00240087 | − | 0.00272433i | ||||
\(484\) | −8.28884 | + | 3.01689i | −0.376765 | + | 0.137131i | ||||
\(485\) | 66.3619 | 3.01334 | ||||||||
\(486\) | −1.88461 | + | 15.4741i | −0.0854876 | + | 0.701920i | ||||
\(487\) | 34.3088 | 1.55468 | 0.777339 | − | 0.629082i | \(-0.216569\pi\) | ||||
0.777339 | + | 0.629082i | \(0.216569\pi\) | |||||||
\(488\) | 3.28389 | − | 1.19524i | 0.148655 | − | 0.0541059i | ||||
\(489\) | 18.1854 | − | 20.6354i | 0.822373 | − | 0.933167i | ||||
\(490\) | −18.7781 | + | 15.7567i | −0.848306 | + | 0.711813i | ||||
\(491\) | −3.02281 | − | 17.1432i | −0.136417 | − | 0.773661i | −0.973862 | − | 0.227139i | \(-0.927063\pi\) |
0.837445 | − | 0.546522i | \(-0.184048\pi\) | |||||||
\(492\) | 1.37533 | − | 3.51145i | 0.0620046 | − | 0.158308i | ||||
\(493\) | −3.78921 | − | 3.17952i | −0.170657 | − | 0.143199i | ||||
\(494\) | 4.34606 | − | 7.52760i | 0.195539 | − | 0.338683i | ||||
\(495\) | −5.96720 | − | 47.0870i | −0.268206 | − | 2.11640i | ||||
\(496\) | −0.335846 | − | 0.581702i | −0.0150799 | − | 0.0261192i | ||||
\(497\) | 0.449314 | − | 2.54819i | 0.0201545 | − | 0.114302i | ||||
\(498\) | 0.227258 | − | 9.37392i | 0.0101837 | − | 0.420056i | ||||
\(499\) | −24.6982 | − | 8.98939i | −1.10564 | − | 0.402421i | −0.276248 | − | 0.961086i | \(-0.589091\pi\) |
−0.829393 | + | 0.558666i | \(0.811313\pi\) | |||||||
\(500\) | −8.77804 | − | 3.19494i | −0.392566 | − | 0.142882i | ||||
\(501\) | 20.0766 | + | 12.2494i | 0.896958 | + | 0.547265i | ||||
\(502\) | 2.53091 | − | 14.3535i | 0.112960 | − | 0.640629i | ||||
\(503\) | 9.08930 | + | 15.7431i | 0.405272 | + | 0.701952i | 0.994353 | − | 0.106122i | \(-0.0338435\pi\) |
−0.589081 | + | 0.808074i | \(0.700510\pi\) | |||||||
\(504\) | −0.438463 | − | 0.852336i | −0.0195307 | − | 0.0379661i | ||||
\(505\) | 4.29937 | − | 7.44672i | 0.191319 | − | 0.331375i | ||||
\(506\) | 0.491830 | + | 0.412694i | 0.0218645 | + | 0.0183465i | ||||
\(507\) | −15.2253 | + | 2.30567i | −0.676181 | + | 0.102398i | ||||
\(508\) | 0.0276465 | + | 0.156791i | 0.00122661 | + | 0.00695647i | ||||
\(509\) | −18.8746 | + | 15.8376i | −0.836600 | + | 0.701991i | −0.956796 | − | 0.290759i | \(-0.906092\pi\) |
0.120196 | + | 0.992750i | \(0.461648\pi\) | |||||||
\(510\) | −2.22901 | − | 6.61907i | −0.0987020 | − | 0.293097i | ||||
\(511\) | 4.38379 | − | 1.59557i | 0.193927 | − | 0.0705838i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −8.68864 | + | 4.20655i | −0.383613 | + | 0.185724i | ||||
\(514\) | −11.0246 | −0.486275 | ||||||||
\(515\) | −6.66321 | + | 2.42521i | −0.293616 | + | 0.106868i | ||||
\(516\) | −12.0515 | − | 2.42756i | −0.530539 | − | 0.106867i | ||||
\(517\) | −35.2184 | + | 29.5517i | −1.54890 | + | 1.29968i | ||||
\(518\) | −0.421030 | − | 2.38778i | −0.0184990 | − | 0.104913i | ||||
\(519\) | 6.96548 | + | 8.72200i | 0.305750 | + | 0.382853i | ||||
\(520\) | −12.7368 | − | 10.6875i | −0.558547 | − | 0.468676i | ||||
\(521\) | −15.0065 | + | 25.9921i | −0.657449 | + | 1.13873i | 0.323825 | + | 0.946117i | \(0.395031\pi\) |
−0.981274 | + | 0.192618i | \(0.938302\pi\) | |||||||
\(522\) | 9.59898 | + | 8.88178i | 0.420136 | + | 0.388745i | ||||
\(523\) | 13.6719 | + | 23.6804i | 0.597829 | + | 1.03547i | 0.993141 | + | 0.116924i | \(0.0373033\pi\) |
−0.395312 | + | 0.918547i | \(0.629363\pi\) | |||||||
\(524\) | −1.64720 | + | 9.34172i | −0.0719582 | + | 0.408095i | ||||
\(525\) | −3.70613 | + | 2.02159i | −0.161749 | + | 0.0882293i | ||||
\(526\) | 12.3476 | + | 4.49416i | 0.538381 | + | 0.195955i | ||||
\(527\) | −0.716210 | − | 0.260679i | −0.0311986 | − | 0.0113554i | ||||
\(528\) | 6.76957 | − | 3.69261i | 0.294608 | − | 0.160700i | ||||
\(529\) | −3.99030 | + | 22.6301i | −0.173491 | + | 0.983917i | ||||
\(530\) | −1.43134 | − | 2.47916i | −0.0621735 | − | 0.107688i | ||||
\(531\) | 8.54731 | − | 2.64950i | 0.370922 | − | 0.114979i | ||||
\(532\) | 0.296783 | − | 0.514044i | 0.0128672 | − | 0.0222866i | ||||
\(533\) | −7.80368 | − | 6.54807i | −0.338015 | − | 0.283628i | ||||
\(534\) | 5.46100 | + | 6.83814i | 0.236321 | + | 0.295915i | ||||
\(535\) | 5.47404 | + | 31.0448i | 0.236663 | + | 1.34218i | ||||
\(536\) | 5.70186 | − | 4.78443i | 0.246283 | − | 0.206656i | ||||
\(537\) | −21.2451 | − | 4.27944i | −0.916795 | − | 0.184672i | ||||
\(538\) | 9.68695 | − | 3.52576i | 0.417634 | − | 0.152006i | ||||
\(539\) | −30.7099 | −1.32277 | ||||||||
\(540\) | 5.03822 | + | 17.7649i | 0.216810 | + | 0.764478i | ||||
\(541\) | 8.65632 | 0.372164 | 0.186082 | − | 0.982534i | \(-0.440421\pi\) | ||||
0.186082 | + | 0.982534i | \(0.440421\pi\) | |||||||
\(542\) | −0.953353 | + | 0.346992i | −0.0409500 | + | 0.0149046i | ||||
\(543\) | −0.168322 | − | 0.499834i | −0.00722337 | − | 0.0214499i | ||||
\(544\) | 0.869237 | − | 0.729376i | 0.0372682 | − | 0.0312718i | ||||
\(545\) | −1.21692 | − | 6.90152i | −0.0521273 | − | 0.295629i | ||||
\(546\) | −2.55999 | + | 0.387674i | −0.109557 | + | 0.0165909i | ||||
\(547\) | 21.1005 | + | 17.7055i | 0.902194 | + | 0.757031i | 0.970618 | − | 0.240625i | \(-0.0773525\pi\) |
−0.0684237 | + | 0.997656i | \(0.521797\pi\) | |||||||
\(548\) | −5.85468 | + | 10.1406i | −0.250100 | + | 0.433185i | ||||
\(549\) | −5.67577 | + | 8.81466i | −0.242236 | + | 0.376200i | ||||
\(550\) | −16.9816 | − | 29.4130i | −0.724097 | − | 1.25417i | ||||
\(551\) | −1.40630 | + | 7.97552i | −0.0599104 | + | 0.339769i | ||||
\(552\) | −0.213227 | − | 0.130097i | −0.00907554 | − | 0.00553730i | ||||
\(553\) | −3.77903 | − | 1.37545i | −0.160701 | − | 0.0584903i | ||||
\(554\) | 10.1785 | + | 3.70465i | 0.432441 | + | 0.157396i | ||||
\(555\) | −1.13209 | + | 46.6963i | −0.0480544 | + | 1.98215i | ||||
\(556\) | −0.911699 | + | 5.17050i | −0.0386647 | + | 0.219278i | ||||
\(557\) | 13.0903 | + | 22.6730i | 0.554653 | + | 0.960687i | 0.997930 | + | 0.0643022i | \(0.0204822\pi\) |
−0.443278 | + | 0.896384i | \(0.646184\pi\) | |||||||
\(558\) | 1.85793 | + | 0.780146i | 0.0786524 | + | 0.0330262i | ||||
\(559\) | −16.6042 | + | 28.7592i | −0.702281 | + | 1.21639i | ||||
\(560\) | −0.869770 | − | 0.729824i | −0.0367545 | − | 0.0308407i | ||||
\(561\) | 3.19106 | − | 8.14731i | 0.134727 | − | 0.343980i | ||||
\(562\) | −1.47197 | − | 8.34795i | −0.0620912 | − | 0.352137i | ||||
\(563\) | −3.04293 | + | 2.55332i | −0.128244 | + | 0.107610i | −0.704654 | − | 0.709551i | \(-0.748898\pi\) |
0.576410 | + | 0.817161i | \(0.304453\pi\) | |||||||
\(564\) | 11.8257 | − | 13.4189i | 0.497950 | − | 0.565037i | ||||
\(565\) | 32.1536 | − | 11.7030i | 1.35271 | − | 0.492347i | ||||
\(566\) | 6.30428 | 0.264988 | ||||||||
\(567\) | 2.59420 | + | 1.24043i | 0.108946 | + | 0.0520934i | ||||
\(568\) | −8.09856 | −0.339808 | ||||||||
\(569\) | 38.0492 | − | 13.8488i | 1.59511 | − | 0.580571i | 0.616688 | − | 0.787207i | \(-0.288474\pi\) |
0.978418 | + | 0.206636i | \(0.0662516\pi\) | |||||||
\(570\) | −7.56043 | + | 8.57900i | −0.316671 | + | 0.359335i | ||||
\(571\) | 29.3406 | − | 24.6197i | 1.22787 | − | 1.03030i | 0.229493 | − | 0.973310i | \(-0.426293\pi\) |
0.998375 | − | 0.0569933i | \(-0.0181514\pi\) | |||||||
\(572\) | −3.61709 | − | 20.5135i | −0.151238 | − | 0.857714i | ||||
\(573\) | −9.09143 | + | 23.2120i | −0.379800 | + | 0.969694i | ||||
\(574\) | −0.532897 | − | 0.447153i | −0.0222427 | − | 0.0186638i | ||||
\(575\) | −0.550070 | + | 0.952749i | −0.0229395 | + | 0.0397324i | ||||
\(576\) | −2.38888 | + | 1.81473i | −0.0995366 | + | 0.0756139i | ||||
\(577\) | −4.13928 | − | 7.16944i | −0.172320 | − | 0.298468i | 0.766910 | − | 0.641754i | \(-0.221793\pi\) |
−0.939231 | + | 0.343287i | \(0.888460\pi\) | |||||||
\(578\) | −2.72844 | + | 15.4737i | −0.113488 | + | 0.643622i | ||||
\(579\) | −0.128062 | + | 5.28229i | −0.00532206 | + | 0.219524i | ||||
\(580\) | 14.5571 | + | 5.29835i | 0.604450 | + | 0.220002i | ||||
\(581\) | −1.62535 | − | 0.591578i | −0.0674308 | − | 0.0245428i | ||||
\(582\) | −27.6110 | − | 16.8464i | −1.14451 | − | 0.698306i | ||||
\(583\) | 0.622767 | − | 3.53189i | 0.0257924 | − | 0.146276i | ||||
\(584\) | −7.30065 | − | 12.6451i | −0.302103 | − | 0.523258i | ||||
\(585\) | 49.8216 | + | 2.41713i | 2.05987 | + | 0.0999360i | ||||
\(586\) | 1.21653 | − | 2.10709i | 0.0502543 | − | 0.0870430i | ||||
\(587\) | −10.6808 | − | 8.96228i | −0.440845 | − | 0.369913i | 0.395181 | − | 0.918603i | \(-0.370682\pi\) |
−0.836025 | + | 0.548691i | \(0.815126\pi\) | |||||||
\(588\) | 11.8129 | − | 1.78889i | 0.487154 | − | 0.0737727i | ||||
\(589\) | 0.216689 | + | 1.22891i | 0.00892853 | + | 0.0506362i | ||||
\(590\) | 8.12014 | − | 6.81361i | 0.334301 | − | 0.280512i | ||||
\(591\) | −12.3071 | − | 36.5461i | −0.506246 | − | 1.50331i | ||||
\(592\) | −7.13111 | + | 2.59551i | −0.293087 | + | 0.106675i | ||||
\(593\) | −41.2342 | −1.69329 | −0.846644 | − | 0.532160i | \(-0.821380\pi\) | ||||
−0.846644 | + | 0.532160i | \(0.821380\pi\) | |||||||
\(594\) | −9.47058 | + | 21.1061i | −0.388583 | + | 0.865996i | ||||
\(595\) | −1.28835 | −0.0528173 | ||||||||
\(596\) | 15.3097 | − | 5.57227i | 0.627110 | − | 0.228249i | ||||
\(597\) | 41.7073 | + | 8.40117i | 1.70697 | + | 0.343837i | ||||
\(598\) | −0.516872 | + | 0.433707i | −0.0211365 | + | 0.0177356i | ||||
\(599\) | −0.544602 | − | 3.08859i | −0.0222518 | − | 0.126196i | 0.971658 | − | 0.236390i | \(-0.0759641\pi\) |
−0.993910 | + | 0.110193i | \(0.964853\pi\) | |||||||
\(600\) | 8.24548 | + | 10.3248i | 0.336620 | + | 0.421507i | ||||
\(601\) | −26.6855 | − | 22.3918i | −1.08853 | − | 0.913382i | −0.0919256 | − | 0.995766i | \(-0.529302\pi\) |
−0.996601 | + | 0.0823839i | \(0.973747\pi\) | |||||||
\(602\) | −1.13386 | + | 1.96391i | −0.0462128 | + | 0.0800429i | ||||
\(603\) | −4.93859 | + | 21.7768i | −0.201115 | + | 0.886819i | ||||
\(604\) | 7.80897 | + | 13.5255i | 0.317742 | + | 0.550346i | ||||
\(605\) | 5.44323 | − | 30.8701i | 0.221299 | − | 1.25505i | ||||
\(606\) | −3.67923 | + | 2.00691i | −0.149458 | + | 0.0815253i | ||||
\(607\) | 0.726574 | + | 0.264451i | 0.0294907 | + | 0.0107338i | 0.356723 | − | 0.934210i | \(-0.383894\pi\) |
−0.327233 | + | 0.944944i | \(0.606116\pi\) | |||||||
\(608\) | −1.74575 | − | 0.635402i | −0.0707997 | − | 0.0257690i | ||||
\(609\) | 2.11779 | − | 1.15519i | 0.0858172 | − | 0.0468108i | ||||
\(610\) | −2.15651 | + | 12.2302i | −0.0873145 | + | 0.495185i | ||||
\(611\) | −24.1576 | − | 41.8422i | −0.977312 | − | 1.69275i | ||||
\(612\) | −0.752879 | + | 3.31983i | −0.0304333 | + | 0.134196i | ||||
\(613\) | −6.99919 | + | 12.1230i | −0.282695 | + | 0.489642i | −0.972048 | − | 0.234784i | \(-0.924562\pi\) |
0.689353 | + | 0.724426i | \(0.257895\pi\) | |||||||
\(614\) | −18.1750 | − | 15.2506i | −0.733483 | − | 0.615465i | ||||
\(615\) | 8.36302 | + | 10.4720i | 0.337230 | + | 0.422271i | ||||
\(616\) | −0.247003 | − | 1.40083i | −0.00995205 | − | 0.0564409i | ||||
\(617\) | 8.97302 | − | 7.52926i | 0.361240 | − | 0.303117i | −0.444045 | − | 0.896005i | \(-0.646457\pi\) |
0.805285 | + | 0.592888i | \(0.202012\pi\) | |||||||
\(618\) | 3.38800 | + | 0.682450i | 0.136285 | + | 0.0274522i | ||||
\(619\) | −45.1425 | + | 16.4305i | −1.81443 | + | 0.660398i | −0.818073 | + | 0.575114i | \(0.804958\pi\) |
−0.996357 | + | 0.0852845i | \(0.972820\pi\) | |||||||
\(620\) | 2.38698 | 0.0958634 | ||||||||
\(621\) | 0.745465 | − | 0.0761639i | 0.0299145 | − | 0.00305635i | ||||
\(622\) | −10.8006 | −0.433065 | ||||||||
\(623\) | 1.51692 | − | 0.552114i | 0.0607741 | − | 0.0221200i | ||||
\(624\) | 2.58629 | + | 7.68003i | 0.103534 | + | 0.307447i | ||||
\(625\) | −3.78956 | + | 3.17982i | −0.151583 | + | 0.127193i | ||||
\(626\) | −2.75948 | − | 15.6498i | −0.110291 | − | 0.625490i | ||||
\(627\) | −14.1643 | + | 2.14498i | −0.565667 | + | 0.0856624i | ||||
\(628\) | 13.5065 | + | 11.3333i | 0.538970 | + | 0.452249i | ||||
\(629\) | −4.30552 | + | 7.45738i | −0.171672 | + | 0.297345i | ||||
\(630\) | 3.40221 | + | 0.165061i | 0.135547 | + | 0.00657617i | ||||
\(631\) | −19.7725 | − | 34.2469i | −0.787130 | − | 1.36335i | −0.927719 | − | 0.373280i | \(-0.878233\pi\) |
0.140589 | − | 0.990068i | \(-0.455100\pi\) | |||||||
\(632\) | −2.18571 | + | 12.3958i | −0.0869429 | + | 0.493078i | ||||
\(633\) | 4.46426 | + | 2.72379i | 0.177438 | + | 0.108261i | ||||
\(634\) | 3.03994 | + | 1.10645i | 0.120732 | + | 0.0439427i | ||||
\(635\) | −0.531660 | − | 0.193508i | −0.0210983 | − | 0.00767915i | ||||
\(636\) | −0.0338162 | + | 1.39485i | −0.00134090 | + | 0.0553094i | ||||
\(637\) | 5.60424 | − | 31.7832i | 0.222048 | − | 1.25930i | ||||
\(638\) | 9.70378 | + | 16.8074i | 0.384176 | + | 0.665413i | ||||
\(639\) | 19.3465 | − | 14.6967i | 0.765335 | − | 0.581393i | ||||
\(640\) | −1.77684 | + | 3.07758i | −0.0702358 | + | 0.121652i | ||||
\(641\) | 0.506596 | + | 0.425085i | 0.0200093 | + | 0.0167898i | 0.652737 | − | 0.757584i | \(-0.273620\pi\) |
−0.632728 | + | 0.774374i | \(0.718065\pi\) | |||||||
\(642\) | 5.60336 | − | 14.3063i | 0.221147 | − | 0.564626i | ||||
\(643\) | 0.314901 | + | 1.78589i | 0.0124185 | + | 0.0704288i | 0.990387 | − | 0.138323i | \(-0.0441711\pi\) |
−0.977969 | + | 0.208752i | \(0.933060\pi\) | |||||||
\(644\) | −0.0352961 | + | 0.0296169i | −0.00139086 | + | 0.00116707i | ||||
\(645\) | 28.8847 | − | 32.7761i | 1.13733 | − | 1.29056i | ||||
\(646\) | −1.98092 | + | 0.720997i | −0.0779383 | + | 0.0283672i | ||||
\(647\) | 4.13765 | 0.162668 | 0.0813339 | − | 0.996687i | \(-0.474082\pi\) | ||||
0.0813339 | + | 0.996687i | \(0.474082\pi\) | |||||||
\(648\) | 2.41349 | − | 8.67036i | 0.0948108 | − | 0.340604i | ||||
\(649\) | 13.2798 | 0.521278 | ||||||||
\(650\) | 33.5399 | − | 12.2075i | 1.31554 | − | 0.478819i | ||||
\(651\) | 0.245761 | − | 0.278871i | 0.00963213 | − | 0.0109298i | ||||
\(652\) | −12.1648 | + | 10.2075i | −0.476412 | + | 0.399757i | ||||
\(653\) | 4.66662 | + | 26.4657i | 0.182619 | + | 1.03568i | 0.928976 | + | 0.370139i | \(0.120690\pi\) |
−0.746357 | + | 0.665545i | \(0.768199\pi\) | |||||||
\(654\) | −1.24567 | + | 3.18042i | −0.0487097 | + | 0.124364i | ||||
\(655\) | −25.8231 | − | 21.6681i | −1.00899 | − | 0.846644i | ||||
\(656\) | −1.08865 | + | 1.88559i | −0.0425045 | + | 0.0736200i | ||||
\(657\) | 40.3879 | + | 16.9589i | 1.57568 | + | 0.661629i | ||||
\(658\) | −1.64967 | − | 2.85731i | −0.0643108 | − | 0.111390i | ||||
\(659\) | 2.51054 | − | 14.2380i | 0.0977969 | − | 0.554634i | −0.896058 | − | 0.443938i | \(-0.853581\pi\) |
0.993854 | − | 0.110696i | \(-0.0353078\pi\) | |||||||
\(660\) | −0.664154 | + | 27.3950i | −0.0258522 | + | 1.06635i | ||||
\(661\) | −20.9378 | − | 7.62074i | −0.814387 | − | 0.296413i | −0.0989522 | − | 0.995092i | \(-0.531549\pi\) |
−0.715435 | + | 0.698680i | \(0.753771\pi\) | |||||||
\(662\) | 16.5984 | + | 6.04133i | 0.645116 | + | 0.234803i | ||||
\(663\) | 7.84973 | + | 4.78939i | 0.304858 | + | 0.186004i | ||||
\(664\) | −0.940067 | + | 5.33138i | −0.0364817 | + | 0.206898i | ||||
\(665\) | 1.05467 | + | 1.82675i | 0.0408985 | + | 0.0708382i | ||||
\(666\) | 12.3252 | − | 19.1414i | 0.477592 | − | 0.741715i | ||||
\(667\) | 0.314326 | − | 0.544429i | 0.0121708 | − | 0.0210804i | ||||
\(668\) | −10.4017 | − | 8.72804i | −0.402453 | − | 0.337698i | ||||
\(669\) | −17.0917 | + | 2.58830i | −0.660803 | + | 0.100069i | ||||
\(670\) | 4.59316 | + | 26.0491i | 0.177449 | + | 1.00636i | ||||
\(671\) | −11.9184 | + | 10.0007i | −0.460104 | + | 0.386073i | ||||
\(672\) | 0.176612 | + | 0.524453i | 0.00681296 | + | 0.0202312i | ||||
\(673\) | −23.4002 | + | 8.51699i | −0.902012 | + | 0.328306i | −0.751059 | − | 0.660235i | \(-0.770457\pi\) |
−0.150954 | + | 0.988541i | \(0.548234\pi\) | |||||||
\(674\) | −10.5429 | −0.406096 | ||||||||
\(675\) | −38.4342 | − | 9.70132i | −1.47933 | − | 0.373404i | ||||
\(676\) | 8.89058 | 0.341945 | ||||||||
\(677\) | −7.50239 | + | 2.73065i | −0.288340 | + | 0.104947i | −0.482141 | − | 0.876094i | \(-0.660141\pi\) |
0.193801 | + | 0.981041i | \(0.437918\pi\) | |||||||
\(678\) | −16.3489 | − | 3.29319i | −0.627877 | − | 0.126474i | ||||
\(679\) | −4.57053 | + | 3.83513i | −0.175401 | + | 0.147179i | ||||
\(680\) | 0.700218 | + | 3.97113i | 0.0268521 | + | 0.152286i | ||||
\(681\) | −22.8302 | − | 28.5875i | −0.874857 | − | 1.09547i | ||||
\(682\) | 2.29079 | + | 1.92220i | 0.0877187 | + | 0.0736048i | ||||
\(683\) | 17.5306 | − | 30.3639i | 0.670789 | − | 1.16184i | −0.306891 | − | 0.951745i | \(-0.599289\pi\) |
0.977681 | − | 0.210097i | \(-0.0673779\pi\) | |||||||
\(684\) | 5.32348 | − | 1.65018i | 0.203548 | − | 0.0630961i | ||||
\(685\) | −20.8057 | − | 36.0365i | −0.794944 | − | 1.37688i | ||||
\(686\) | 0.771067 | − | 4.37294i | 0.0294395 | − | 0.166960i | ||||
\(687\) | −35.3995 | + | 19.3094i | −1.35058 | + | 0.736701i | ||||
\(688\) | 6.66967 | + | 2.42756i | 0.254279 | + | 0.0925498i | ||||
\(689\) | 3.54168 | + | 1.28907i | 0.134927 | + | 0.0491095i | ||||
\(690\) | 0.779254 | − | 0.425061i | 0.0296657 | − | 0.0161818i | ||||
\(691\) | −0.344177 | + | 1.95193i | −0.0130931 | + | 0.0742548i | −0.990654 | − | 0.136397i | \(-0.956448\pi\) |
0.977561 | + | 0.210652i | \(0.0675587\pi\) | |||||||
\(692\) | −3.22220 | − | 5.58102i | −0.122490 | − | 0.212159i | ||||
\(693\) | 3.13219 | + | 2.89816i | 0.118982 | + | 0.110092i | ||||
\(694\) | −16.2523 | + | 28.1499i | −0.616930 | + | 1.06855i | ||||
\(695\) | −14.2927 | − | 11.9930i | −0.542152 | − | 0.454920i | ||||
\(696\) | −4.71171 | − | 5.89988i | −0.178597 | − | 0.223635i | ||||
\(697\) | 0.429014 | + | 2.43306i | 0.0162501 | + | 0.0921587i | ||||
\(698\) | −15.3747 | + | 12.9009i | −0.581942 | + | 0.488308i | ||||
\(699\) | 45.3764 | + | 9.14025i | 1.71629 | + | 0.345716i | ||||
\(700\) | 2.29037 | − | 0.833627i | 0.0865679 | − | 0.0315081i | ||||
\(701\) | 42.8694 | 1.61916 | 0.809578 | − | 0.587013i | \(-0.199696\pi\) | ||||
0.809578 | + | 0.587013i | \(0.199696\pi\) | |||||||
\(702\) | −20.1155 | − | 13.6532i | −0.759212 | − | 0.515308i | ||||
\(703\) | 14.0984 | 0.531730 | ||||||||
\(704\) | −4.18356 | + | 1.52269i | −0.157674 | + | 0.0573886i | ||||
\(705\) | 20.2853 | + | 60.2376i | 0.763990 | + | 2.26868i | ||||
\(706\) | 8.45411 | − | 7.09384i | 0.318174 | − | 0.266980i | ||||
\(707\) | 0.134245 | + | 0.761342i | 0.00504881 | + | 0.0286332i | ||||
\(708\) | −5.10820 | + | 0.773566i | −0.191978 | + | 0.0290724i | ||||
\(709\) | 26.9016 | + | 22.5731i | 1.01031 | + | 0.847752i | 0.988379 | − | 0.152008i | \(-0.0485738\pi\) |
0.0219320 | + | 0.999759i | \(0.493018\pi\) | |||||||
\(710\) | 14.3898 | − | 24.9239i | 0.540041 | − | 0.935379i | ||||
\(711\) | −17.2736 | − | 33.5785i | −0.647812 | − | 1.25929i | ||||
\(712\) | −2.52624 | − | 4.37558i | −0.0946748 | − | 0.163982i | ||||
\(713\) | 0.0168206 | − | 0.0953942i | 0.000629935 | − | 0.00357254i | ||||
\(714\) | 0.536041 | + | 0.327057i | 0.0200608 | + | 0.0122398i | ||||
\(715\) | 69.5590 | + | 25.3174i | 2.60136 | + | 0.946818i | ||||
\(716\) | 11.7577 | + | 4.27944i | 0.439405 | + | 0.159930i | ||||
\(717\) | 1.01000 | − | 41.6607i | 0.0377193 | − | 1.55585i | ||||
\(718\) | −0.680852 | + | 3.86130i | −0.0254092 | + | 0.144103i | ||||
\(719\) | −7.52422 | − | 13.0323i | −0.280606 | − | 0.486024i | 0.690928 | − | 0.722924i | \(-0.257202\pi\) |
−0.971534 | + | 0.236899i | \(0.923869\pi\) | |||||||
\(720\) | −1.34032 | − | 10.5765i | −0.0499509 | − | 0.394161i | ||||
\(721\) | 0.318758 | − | 0.552105i | 0.0118712 | − | 0.0205615i | ||||
\(722\) | −11.9109 | − | 9.99445i | −0.443279 | − | 0.371955i | ||||
\(723\) | −0.942147 | + | 2.40546i | −0.0350388 | + | 0.0894601i | ||||
\(724\) | 0.0528764 | + | 0.299877i | 0.00196513 | + | 0.0111448i | ||||
\(725\) | −25.4749 | + | 21.3760i | −0.946113 | + | 0.793883i | ||||
\(726\) | −10.1013 | + | 11.4622i | −0.374895 | + | 0.425403i | ||||
\(727\) | −13.7436 | + | 5.00226i | −0.509721 | + | 0.185523i | −0.584061 | − | 0.811710i | \(-0.698537\pi\) |
0.0743399 | + | 0.997233i | \(0.476315\pi\) | |||||||
\(728\) | 1.49486 | 0.0554032 | ||||||||
\(729\) | 9.96884 | + | 25.0923i | 0.369216 | + | 0.929343i | ||||
\(730\) | 51.8884 | 1.92048 | ||||||||
\(731\) | 7.56813 | − | 2.75457i | 0.279917 | − | 0.101882i | ||||
\(732\) | 4.00196 | − | 4.54113i | 0.147917 | − | 0.167845i | ||||
\(733\) | 11.5481 | − | 9.69000i | 0.426539 | − | 0.357908i | −0.404105 | − | 0.914713i | \(-0.632417\pi\) |
0.830644 | + | 0.556804i | \(0.187973\pi\) | |||||||
\(734\) | 5.06206 | + | 28.7084i | 0.186844 | + | 1.05964i | ||||
\(735\) | −15.4841 | + | 39.5336i | −0.571140 | + | 1.45822i | ||||
\(736\) | 0.110473 | + | 0.0926974i | 0.00407207 | + | 0.00341687i | ||||
\(737\) | −16.5689 | + | 28.6981i | −0.610322 | + | 1.05711i | ||||
\(738\) | −0.821199 | − | 6.48005i | −0.0302288 | − | 0.238534i | ||||
\(739\) | −23.9031 | − | 41.4014i | −0.879290 | − | 1.52297i | −0.852122 | − | 0.523343i | \(-0.824685\pi\) |
−0.0271676 | − | 0.999631i | \(-0.508649\pi\) | |||||||
\(740\) | 4.68296 | − | 26.5584i | 0.172149 | − | 0.976305i | ||||
\(741\) | 0.364885 | − | 15.0508i | 0.0134044 | − | 0.552904i | ||||
\(742\) | 0.241854 | + | 0.0880275i | 0.00887873 | + | 0.00323159i | ||||
\(743\) | 43.7125 | + | 15.9101i | 1.60366 | + | 0.583683i | 0.980171 | − | 0.198152i | \(-0.0634940\pi\) |
0.623485 | + | 0.781835i | \(0.285716\pi\) | |||||||
\(744\) | −0.993143 | − | 0.605951i | −0.0364104 | − | 0.0222152i | ||||
\(745\) | −10.0538 | + | 57.0178i | −0.368342 | + | 2.08897i | ||||
\(746\) | −3.13591 | − | 5.43155i | −0.114814 | − | 0.198863i | ||||
\(747\) | −7.42933 | − | 14.4420i | −0.271825 | − | 0.528405i | ||||
\(748\) | −2.52589 | + | 4.37497i | −0.0923558 | + | 0.159965i | ||||
\(749\) | −2.17113 | − | 1.82179i | −0.0793312 | − | 0.0665668i | ||||
\(750\) | −15.9974 | + | 2.42258i | −0.584142 | + | 0.0884601i | ||||
\(751\) | 0.306626 | + | 1.73897i | 0.0111890 | + | 0.0634557i | 0.989891 | − | 0.141830i | \(-0.0452987\pi\) |
−0.978702 | + | 0.205286i | \(0.934188\pi\) | |||||||
\(752\) | −7.91059 | + | 6.63778i | −0.288470 | + | 0.242055i | ||||
\(753\) | −8.05667 | − | 23.9244i | −0.293601 | − | 0.871854i | ||||
\(754\) | −19.1657 | + | 6.97575i | −0.697974 | + | 0.254042i | ||||
\(755\) | −55.5012 | −2.01989 | ||||||||
\(756\) | −1.37365 | − | 0.932350i | −0.0499590 | − | 0.0339093i | ||||
\(757\) | 3.34143 | 0.121446 | 0.0607232 | − | 0.998155i | \(-0.480659\pi\) | ||||
0.0607232 | + | 0.998155i | \(0.480659\pi\) | |||||||
\(758\) | 25.3306 | − | 9.21957i | 0.920048 | − | 0.334870i | ||||
\(759\) | 1.09015 | + | 0.219590i | 0.0395698 | + | 0.00797061i | ||||
\(760\) | 5.05743 | − | 4.24369i | 0.183452 | − | 0.153935i | ||||
\(761\) | 8.29207 | + | 47.0267i | 0.300587 | + | 1.70472i | 0.643581 | + | 0.765378i | \(0.277448\pi\) |
−0.342994 | + | 0.939338i | \(0.611441\pi\) | |||||||
\(762\) | 0.172083 | + | 0.215478i | 0.00623390 | + | 0.00780594i | ||||
\(763\) | 0.482660 | + | 0.404999i | 0.0174735 | + |