Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(4,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.q (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} - 14 x^{12} + 38 x^{11} - 40 x^{10} + 64 x^{9} + 291 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.5 | ||
Root | \(2.07845 - 0.556918i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 105.79 |
Dual form | 105.2.q.a.4.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.248840 | + | 0.143668i | 0.175957 | + | 0.101589i | 0.585392 | − | 0.810751i | \(-0.300941\pi\) |
−0.409435 | + | 0.912339i | \(0.634274\pi\) | |||||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | −0.958719 | − | 1.66055i | −0.479360 | − | 0.830275i | ||||
\(5\) | 0.717839 | − | 2.11771i | 0.321027 | − | 0.947070i | ||||
\(6\) | 0.287336 | 0.117304 | ||||||||
\(7\) | −1.11487 | + | 2.39939i | −0.421380 | + | 0.906884i | ||||
\(8\) | − | 1.12562i | − | 0.397967i | ||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0.482874 | − | 0.423842i | 0.152698 | − | 0.134030i | ||||
\(11\) | 1.66520 | + | 2.88421i | 0.502076 | + | 0.869621i | 0.999997 | + | 0.00239862i | \(0.000763504\pi\) |
−0.497921 | + | 0.867222i | \(0.665903\pi\) | |||||||
\(12\) | −1.66055 | − | 0.958719i | −0.479360 | − | 0.276758i | ||||
\(13\) | 4.54754i | 1.26126i | 0.776083 | + | 0.630630i | \(0.217204\pi\) | ||||
−0.776083 | + | 0.630630i | \(0.782796\pi\) | |||||||
\(14\) | −0.622139 | + | 0.436894i | −0.166274 | + | 0.116765i | ||||
\(15\) | −0.437190 | − | 2.19291i | −0.112882 | − | 0.566208i | ||||
\(16\) | −1.75572 | + | 3.04100i | −0.438931 | + | 0.760250i | ||||
\(17\) | 4.80431 | − | 2.77377i | 1.16522 | − | 0.672738i | 0.212668 | − | 0.977125i | \(-0.431785\pi\) |
0.952549 | + | 0.304386i | \(0.0984514\pi\) | |||||||
\(18\) | 0.248840 | − | 0.143668i | 0.0586522 | − | 0.0338629i | ||||
\(19\) | −0.828617 | + | 1.43521i | −0.190098 | + | 0.329259i | −0.945282 | − | 0.326253i | \(-0.894214\pi\) |
0.755185 | + | 0.655512i | \(0.227547\pi\) | |||||||
\(20\) | −4.20477 | + | 0.838284i | −0.940216 | + | 0.187446i | ||||
\(21\) | 0.234193 | + | 2.63537i | 0.0511052 | + | 0.575084i | ||||
\(22\) | 0.956942i | 0.204021i | ||||||||
\(23\) | −6.61094 | − | 3.81683i | −1.37848 | − | 0.795864i | −0.386500 | − | 0.922289i | \(-0.626316\pi\) |
−0.991976 | + | 0.126425i | \(0.959650\pi\) | |||||||
\(24\) | −0.562810 | − | 0.974816i | −0.114883 | − | 0.198983i | ||||
\(25\) | −3.96942 | − | 3.04035i | −0.793883 | − | 0.608070i | ||||
\(26\) | −0.653336 | + | 1.13161i | −0.128130 | + | 0.221927i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 5.05315 | − | 0.449051i | 0.954956 | − | 0.0848627i | ||||
\(29\) | 0.118657 | 0.0220341 | 0.0110170 | − | 0.999939i | \(-0.496493\pi\) | ||||
0.0110170 | + | 0.999939i | \(0.496493\pi\) | |||||||
\(30\) | 0.206261 | − | 0.608495i | 0.0376579 | − | 0.111095i | ||||
\(31\) | 3.13010 | + | 5.42150i | 0.562183 | + | 0.973729i | 0.997306 | + | 0.0733583i | \(0.0233717\pi\) |
−0.435123 | + | 0.900371i | \(0.643295\pi\) | |||||||
\(32\) | −2.82342 | + | 1.63010i | −0.499115 | + | 0.288164i | ||||
\(33\) | 2.88421 | + | 1.66520i | 0.502076 | + | 0.289874i | ||||
\(34\) | 1.59401 | 0.273370 | ||||||||
\(35\) | 4.28093 | + | 4.08334i | 0.723609 | + | 0.690211i | ||||
\(36\) | −1.91744 | −0.319573 | ||||||||
\(37\) | −6.71665 | − | 3.87786i | −1.10421 | − | 0.637516i | −0.166887 | − | 0.985976i | \(-0.553372\pi\) |
−0.937324 | + | 0.348460i | \(0.886705\pi\) | |||||||
\(38\) | −0.412386 | + | 0.238091i | −0.0668979 | + | 0.0386235i | ||||
\(39\) | 2.27377 | + | 3.93829i | 0.364095 | + | 0.630630i | ||||
\(40\) | −2.38374 | − | 0.808014i | −0.376902 | − | 0.127758i | ||||
\(41\) | 0.0701896 | 0.0109618 | 0.00548089 | − | 0.999985i | \(-0.498255\pi\) | ||||
0.00548089 | + | 0.999985i | \(0.498255\pi\) | |||||||
\(42\) | −0.320341 | + | 0.689431i | −0.0494297 | + | 0.106381i | ||||
\(43\) | − | 2.92981i | − | 0.446792i | −0.974728 | − | 0.223396i | \(-0.928286\pi\) | ||
0.974728 | − | 0.223396i | \(-0.0717143\pi\) | |||||||
\(44\) | 3.19291 | − | 5.53029i | 0.481350 | − | 0.833722i | ||||
\(45\) | −1.47507 | − | 1.68052i | −0.219891 | − | 0.250518i | ||||
\(46\) | −1.09671 | − | 1.89956i | −0.161701 | − | 0.280075i | ||||
\(47\) | 5.53029 | + | 3.19291i | 0.806675 | + | 0.465734i | 0.845800 | − | 0.533500i | \(-0.179124\pi\) |
−0.0391247 | + | 0.999234i | \(0.512457\pi\) | |||||||
\(48\) | 3.51145i | 0.506833i | ||||||||
\(49\) | −4.51415 | − | 5.35000i | −0.644879 | − | 0.764285i | ||||
\(50\) | −0.550949 | − | 1.32684i | −0.0779159 | − | 0.187643i | ||||
\(51\) | 2.77377 | − | 4.80431i | 0.388406 | − | 0.672738i | ||||
\(52\) | 7.55142 | − | 4.35981i | 1.04719 | − | 0.604597i | ||||
\(53\) | −0.640682 | + | 0.369898i | −0.0880044 | + | 0.0508094i | −0.543356 | − | 0.839502i | \(-0.682847\pi\) |
0.455352 | + | 0.890311i | \(0.349513\pi\) | |||||||
\(54\) | 0.143668 | − | 0.248840i | 0.0195507 | − | 0.0338629i | ||||
\(55\) | 7.30326 | − | 1.45601i | 0.984772 | − | 0.196329i | ||||
\(56\) | 2.70080 | + | 1.25492i | 0.360910 | + | 0.167695i | ||||
\(57\) | 1.65723i | 0.219506i | ||||||||
\(58\) | 0.0295266 | + | 0.0170472i | 0.00387704 | + | 0.00223841i | ||||
\(59\) | −0.815051 | − | 1.41171i | −0.106111 | − | 0.183789i | 0.808081 | − | 0.589072i | \(-0.200506\pi\) |
−0.914191 | + | 0.405283i | \(0.867173\pi\) | |||||||
\(60\) | −3.22230 | + | 2.82836i | −0.415997 | + | 0.365140i | ||||
\(61\) | 3.65901 | − | 6.33759i | 0.468488 | − | 0.811446i | −0.530863 | − | 0.847458i | \(-0.678132\pi\) |
0.999351 | + | 0.0360120i | \(0.0114655\pi\) | |||||||
\(62\) | 1.79878i | 0.228445i | ||||||||
\(63\) | 1.52050 | + | 2.16520i | 0.191565 | + | 0.272789i | ||||
\(64\) | 6.08612 | 0.760765 | ||||||||
\(65\) | 9.63038 | + | 3.26440i | 1.19450 | + | 0.404899i | ||||
\(66\) | 0.478471 | + | 0.828736i | 0.0588957 | + | 0.102010i | ||||
\(67\) | 2.62934 | − | 1.51805i | 0.321224 | − | 0.185459i | −0.330714 | − | 0.943731i | \(-0.607289\pi\) |
0.651938 | + | 0.758272i | \(0.273956\pi\) | |||||||
\(68\) | −9.21197 | − | 5.31853i | −1.11712 | − | 0.644967i | ||||
\(69\) | −7.63366 | −0.918984 | ||||||||
\(70\) | 0.478621 | + | 1.63113i | 0.0572062 | + | 0.194957i | ||||
\(71\) | −3.77048 | −0.447474 | −0.223737 | − | 0.974650i | \(-0.571826\pi\) | ||||
−0.223737 | + | 0.974650i | \(0.571826\pi\) | |||||||
\(72\) | −0.974816 | − | 0.562810i | −0.114883 | − | 0.0663278i | ||||
\(73\) | −2.03961 | + | 1.17757i | −0.238718 | + | 0.137824i | −0.614588 | − | 0.788849i | \(-0.710678\pi\) |
0.375869 | + | 0.926673i | \(0.377344\pi\) | |||||||
\(74\) | −1.11425 | − | 1.92993i | −0.129529 | − | 0.224350i | ||||
\(75\) | −4.95779 | − | 0.648315i | −0.572476 | − | 0.0748610i | ||||
\(76\) | 3.17764 | 0.364501 | ||||||||
\(77\) | −8.77681 | + | 0.779956i | −1.00021 | + | 0.0888843i | ||||
\(78\) | 1.30667i | 0.147951i | ||||||||
\(79\) | −5.97016 | + | 10.3406i | −0.671696 | + | 1.16341i | 0.305727 | + | 0.952119i | \(0.401101\pi\) |
−0.977423 | + | 0.211292i | \(0.932233\pi\) | |||||||
\(80\) | 5.17964 | + | 5.90106i | 0.579101 | + | 0.659759i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0.0174660 | + | 0.0100840i | 0.00192880 | + | 0.00111359i | ||||
\(83\) | − | 1.22411i | − | 0.134363i | −0.997741 | − | 0.0671817i | \(-0.978599\pi\) | ||
0.997741 | − | 0.0671817i | \(-0.0214007\pi\) | |||||||
\(84\) | 4.15163 | − | 2.91547i | 0.452980 | − | 0.318103i | ||||
\(85\) | −2.42533 | − | 12.1653i | −0.263064 | − | 1.31951i | ||||
\(86\) | 0.420920 | − | 0.729054i | 0.0453889 | − | 0.0786160i | ||||
\(87\) | 0.102760 | − | 0.0593285i | 0.0110170 | − | 0.00636069i | ||||
\(88\) | 3.24652 | − | 1.87438i | 0.346080 | − | 0.199810i | ||||
\(89\) | −6.50007 | + | 11.2585i | −0.689006 | + | 1.19339i | 0.283153 | + | 0.959075i | \(0.408619\pi\) |
−0.972160 | + | 0.234319i | \(0.924714\pi\) | |||||||
\(90\) | −0.125620 | − | 0.630102i | −0.0132415 | − | 0.0664186i | ||||
\(91\) | −10.9113 | − | 5.06990i | −1.14382 | − | 0.531470i | ||||
\(92\) | 14.6371i | 1.52602i | ||||||||
\(93\) | 5.42150 | + | 3.13010i | 0.562183 | + | 0.324576i | ||||
\(94\) | 0.917438 | + | 1.58905i | 0.0946265 | + | 0.163898i | ||||
\(95\) | 2.44454 | + | 2.78502i | 0.250805 | + | 0.285737i | ||||
\(96\) | −1.63010 | + | 2.82342i | −0.166372 | + | 0.288164i | ||||
\(97\) | − | 3.04306i | − | 0.308976i | −0.987995 | − | 0.154488i | \(-0.950627\pi\) | ||
0.987995 | − | 0.154488i | \(-0.0493728\pi\) | |||||||
\(98\) | −0.354679 | − | 1.97983i | −0.0358280 | − | 0.199993i | ||||
\(99\) | 3.33039 | 0.334717 | ||||||||
\(100\) | −1.24310 | + | 9.50626i | −0.124310 | + | 0.950626i | ||||
\(101\) | −8.01983 | − | 13.8907i | −0.798002 | − | 1.38218i | −0.920915 | − | 0.389763i | \(-0.872557\pi\) |
0.122913 | − | 0.992417i | \(-0.460776\pi\) | |||||||
\(102\) | 1.38045 | − | 0.797004i | 0.136685 | − | 0.0789151i | ||||
\(103\) | 4.58293 | + | 2.64596i | 0.451570 | + | 0.260714i | 0.708493 | − | 0.705718i | \(-0.249375\pi\) |
−0.256923 | + | 0.966432i | \(0.582709\pi\) | |||||||
\(104\) | 5.11880 | 0.501940 | ||||||||
\(105\) | 5.74906 | + | 1.39581i | 0.561051 | + | 0.136217i | ||||
\(106\) | −0.212570 | −0.0206466 | ||||||||
\(107\) | −4.47018 | − | 2.58086i | −0.432148 | − | 0.249501i | 0.268113 | − | 0.963387i | \(-0.413600\pi\) |
−0.700261 | + | 0.713886i | \(0.746933\pi\) | |||||||
\(108\) | −1.66055 | + | 0.958719i | −0.159787 | + | 0.0922528i | ||||
\(109\) | 1.62043 | + | 2.80668i | 0.155209 | + | 0.268831i | 0.933135 | − | 0.359525i | \(-0.117061\pi\) |
−0.777926 | + | 0.628356i | \(0.783728\pi\) | |||||||
\(110\) | 2.02653 | + | 0.686930i | 0.193222 | + | 0.0654962i | ||||
\(111\) | −7.75572 | −0.736141 | ||||||||
\(112\) | −5.33915 | − | 7.60297i | −0.504503 | − | 0.718413i | ||||
\(113\) | − | 12.6608i | − | 1.19103i | −0.803345 | − | 0.595513i | \(-0.796949\pi\) | ||
0.803345 | − | 0.595513i | \(-0.203051\pi\) | |||||||
\(114\) | −0.238091 | + | 0.412386i | −0.0222993 | + | 0.0386235i | ||||
\(115\) | −12.8285 | + | 11.2602i | −1.19627 | + | 1.05002i | ||||
\(116\) | −0.113759 | − | 0.197036i | −0.0105622 | − | 0.0182943i | ||||
\(117\) | 3.93829 | + | 2.27377i | 0.364095 | + | 0.210210i | ||||
\(118\) | − | 0.468387i | − | 0.0431185i | ||||||
\(119\) | 1.29920 | + | 14.6198i | 0.119097 | + | 1.34019i | ||||
\(120\) | −2.46839 | + | 0.492110i | −0.225332 | + | 0.0449233i | ||||
\(121\) | −0.0457629 | + | 0.0792637i | −0.00416027 | + | 0.00720579i | ||||
\(122\) | 1.82102 | − | 1.05136i | 0.164867 | − | 0.0951861i | ||||
\(123\) | 0.0607860 | − | 0.0350948i | 0.00548089 | − | 0.00316439i | ||||
\(124\) | 6.00178 | − | 10.3954i | 0.538976 | − | 0.933533i | ||||
\(125\) | −9.28799 | + | 6.22360i | −0.830743 | + | 0.556656i | ||||
\(126\) | 0.0672922 | + | 0.757235i | 0.00599486 | + | 0.0674599i | ||||
\(127\) | 16.5475i | 1.46836i | 0.678957 | + | 0.734178i | \(0.262432\pi\) | ||||
−0.678957 | + | 0.734178i | \(0.737568\pi\) | |||||||
\(128\) | 7.16131 | + | 4.13458i | 0.632976 | + | 0.365449i | ||||
\(129\) | −1.46491 | − | 2.53729i | −0.128978 | − | 0.223396i | ||||
\(130\) | 1.92744 | + | 2.19589i | 0.169047 | + | 0.192592i | ||||
\(131\) | 2.64893 | − | 4.58808i | 0.231438 | − | 0.400862i | −0.726794 | − | 0.686856i | \(-0.758990\pi\) |
0.958231 | + | 0.285994i | \(0.0923237\pi\) | |||||||
\(132\) | − | 6.38582i | − | 0.555815i | ||||||
\(133\) | −2.51982 | − | 3.58824i | −0.218496 | − | 0.311140i | ||||
\(134\) | 0.872379 | 0.0753621 | ||||||||
\(135\) | −2.11771 | − | 0.717839i | −0.182264 | − | 0.0617817i | ||||
\(136\) | −3.12221 | − | 5.40783i | −0.267727 | − | 0.463718i | ||||
\(137\) | 12.8779 | − | 7.43507i | 1.10023 | − | 0.635221i | 0.163952 | − | 0.986468i | \(-0.447576\pi\) |
0.936283 | + | 0.351247i | \(0.114242\pi\) | |||||||
\(138\) | −1.89956 | − | 1.09671i | −0.161701 | − | 0.0933583i | ||||
\(139\) | 9.51685 | 0.807209 | 0.403605 | − | 0.914934i | \(-0.367757\pi\) | ||||
0.403605 | + | 0.914934i | \(0.367757\pi\) | |||||||
\(140\) | 2.67639 | − | 11.0235i | 0.226196 | − | 0.931653i | ||||
\(141\) | 6.38582 | 0.537783 | ||||||||
\(142\) | −0.938247 | − | 0.541697i | −0.0787359 | − | 0.0454582i | ||||
\(143\) | −13.1160 | + | 7.57255i | −1.09682 | + | 0.633249i | ||||
\(144\) | 1.75572 | + | 3.04100i | 0.146310 | + | 0.253417i | ||||
\(145\) | 0.0851767 | − | 0.251282i | 0.00707354 | − | 0.0208678i | ||||
\(146\) | −0.676716 | −0.0560054 | ||||||||
\(147\) | −6.58437 | − | 2.37616i | −0.543069 | − | 0.195982i | ||||
\(148\) | 14.8711i | 1.22240i | ||||||||
\(149\) | 5.68502 | − | 9.84675i | 0.465735 | − | 0.806677i | −0.533499 | − | 0.845801i | \(-0.679123\pi\) |
0.999234 | + | 0.0391236i | \(0.0124566\pi\) | |||||||
\(150\) | −1.14056 | − | 0.873602i | −0.0931259 | − | 0.0713293i | ||||
\(151\) | −4.47016 | − | 7.74255i | −0.363777 | − | 0.630080i | 0.624802 | − | 0.780783i | \(-0.285180\pi\) |
−0.988579 | + | 0.150703i | \(0.951846\pi\) | |||||||
\(152\) | 1.61550 | + | 0.932708i | 0.131034 | + | 0.0756526i | ||||
\(153\) | − | 5.54754i | − | 0.448492i | ||||||
\(154\) | −2.29608 | − | 1.06686i | −0.185023 | − | 0.0859701i | ||||
\(155\) | 13.7281 | − | 2.73690i | 1.10267 | − | 0.219833i | ||||
\(156\) | 4.35981 | − | 7.55142i | 0.349064 | − | 0.604597i | ||||
\(157\) | −2.89800 | + | 1.67316i | −0.231286 | + | 0.133533i | −0.611165 | − | 0.791503i | \(-0.709299\pi\) |
0.379879 | + | 0.925036i | \(0.375965\pi\) | |||||||
\(158\) | −2.97123 | + | 1.71544i | −0.236379 | + | 0.136473i | ||||
\(159\) | −0.369898 | + | 0.640682i | −0.0293348 | + | 0.0508094i | ||||
\(160\) | 1.42533 | + | 7.14934i | 0.112682 | + | 0.565205i | ||||
\(161\) | 16.5284 | − | 11.6070i | 1.30262 | − | 0.914758i | ||||
\(162\) | − | 0.287336i | − | 0.0225752i | ||||||
\(163\) | 13.6450 | + | 7.87793i | 1.06876 | + | 0.617047i | 0.927842 | − | 0.372974i | \(-0.121662\pi\) |
0.140916 | + | 0.990022i | \(0.454995\pi\) | |||||||
\(164\) | −0.0672922 | − | 0.116553i | −0.00525463 | − | 0.00910129i | ||||
\(165\) | 5.59680 | − | 4.91258i | 0.435711 | − | 0.382444i | ||||
\(166\) | 0.175865 | − | 0.304608i | 0.0136498 | − | 0.0236421i | ||||
\(167\) | − | 22.5942i | − | 1.74839i | −0.485577 | − | 0.874194i | \(-0.661390\pi\) | ||
0.485577 | − | 0.874194i | \(-0.338610\pi\) | |||||||
\(168\) | 2.96642 | − | 0.263613i | 0.228864 | − | 0.0203382i | ||||
\(169\) | −7.68012 | −0.590779 | ||||||||
\(170\) | 1.14424 | − | 3.37565i | 0.0877592 | − | 0.258900i | ||||
\(171\) | 0.828617 | + | 1.43521i | 0.0633659 | + | 0.109753i | ||||
\(172\) | −4.86510 | + | 2.80887i | −0.370960 | + | 0.214174i | ||||
\(173\) | 7.38391 | + | 4.26310i | 0.561388 | + | 0.324118i | 0.753703 | − | 0.657216i | \(-0.228266\pi\) |
−0.192314 | + | 0.981333i | \(0.561599\pi\) | |||||||
\(174\) | 0.0340944 | 0.00258469 | ||||||||
\(175\) | 11.7204 | − | 6.13459i | 0.885976 | − | 0.463732i | ||||
\(176\) | −11.6945 | −0.881506 | ||||||||
\(177\) | −1.41171 | − | 0.815051i | −0.106111 | − | 0.0612630i | ||||
\(178\) | −3.23496 | + | 1.86770i | −0.242470 | + | 0.139990i | ||||
\(179\) | −5.89031 | − | 10.2023i | −0.440262 | − | 0.762557i | 0.557446 | − | 0.830213i | \(-0.311781\pi\) |
−0.997709 | + | 0.0676564i | \(0.978448\pi\) | |||||||
\(180\) | −1.37641 | + | 4.06058i | −0.102592 | + | 0.302658i | ||||
\(181\) | 9.08967 | 0.675630 | 0.337815 | − | 0.941213i | \(-0.390312\pi\) | ||||
0.337815 | + | 0.941213i | \(0.390312\pi\) | |||||||
\(182\) | −1.98679 | − | 2.82920i | −0.147271 | − | 0.209714i | ||||
\(183\) | − | 7.31802i | − | 0.540964i | ||||||
\(184\) | −4.29630 | + | 7.44141i | −0.316727 | + | 0.548588i | ||||
\(185\) | −13.0337 | + | 11.4403i | −0.958254 | + | 0.841105i | ||||
\(186\) | 0.899391 | + | 1.55779i | 0.0659465 | + | 0.114223i | ||||
\(187\) | 16.0002 | + | 9.23775i | 1.17005 | + | 0.675531i | ||||
\(188\) | − | 12.2444i | − | 0.893016i | ||||||
\(189\) | 2.39939 | + | 1.11487i | 0.174530 | + | 0.0810945i | ||||
\(190\) | 0.208182 | + | 1.04423i | 0.0151031 | + | 0.0757562i | ||||
\(191\) | −10.2478 | + | 17.7498i | −0.741507 | + | 1.28433i | 0.210302 | + | 0.977637i | \(0.432555\pi\) |
−0.951809 | + | 0.306692i | \(0.900778\pi\) | |||||||
\(192\) | 5.27073 | − | 3.04306i | 0.380382 | − | 0.219614i | ||||
\(193\) | −7.39842 | + | 4.27148i | −0.532550 | + | 0.307468i | −0.742054 | − | 0.670340i | \(-0.766148\pi\) |
0.209504 | + | 0.977808i | \(0.432815\pi\) | |||||||
\(194\) | 0.437190 | − | 0.757235i | 0.0313884 | − | 0.0543663i | ||||
\(195\) | 9.97236 | − | 1.98814i | 0.714135 | − | 0.142374i | ||||
\(196\) | −4.55613 | + | 12.6251i | −0.325438 | + | 0.901794i | ||||
\(197\) | 13.8086i | 0.983820i | 0.870646 | + | 0.491910i | \(0.163701\pi\) | ||||
−0.870646 | + | 0.491910i | \(0.836299\pi\) | |||||||
\(198\) | 0.828736 | + | 0.478471i | 0.0588957 | + | 0.0340034i | ||||
\(199\) | 1.89549 | + | 3.28309i | 0.134368 | + | 0.232732i | 0.925356 | − | 0.379100i | \(-0.123766\pi\) |
−0.790988 | + | 0.611832i | \(0.790433\pi\) | |||||||
\(200\) | −3.42228 | + | 4.46805i | −0.241992 | + | 0.315939i | ||||
\(201\) | 1.51805 | − | 2.62934i | 0.107075 | − | 0.185459i | ||||
\(202\) | − | 4.60877i | − | 0.324272i | ||||||
\(203\) | −0.132287 | + | 0.284705i | −0.00928471 | + | 0.0199824i | ||||
\(204\) | −10.6371 | −0.744744 | ||||||||
\(205\) | 0.0503848 | − | 0.148642i | 0.00351903 | − | 0.0103816i | ||||
\(206\) | 0.760278 | + | 1.31684i | 0.0529711 | + | 0.0917486i | ||||
\(207\) | −6.61094 | + | 3.81683i | −0.459492 | + | 0.265288i | ||||
\(208\) | −13.8291 | − | 7.98422i | −0.958874 | − | 0.553606i | ||||
\(209\) | −5.51924 | −0.381774 | ||||||||
\(210\) | 1.23006 | + | 1.17329i | 0.0848824 | + | 0.0809647i | ||||
\(211\) | −0.114416 | −0.00787674 | −0.00393837 | − | 0.999992i | \(-0.501254\pi\) | ||||
−0.00393837 | + | 0.999992i | \(0.501254\pi\) | |||||||
\(212\) | 1.22847 | + | 0.709256i | 0.0843715 | + | 0.0487119i | ||||
\(213\) | −3.26533 | + | 1.88524i | −0.223737 | + | 0.129175i | ||||
\(214\) | −0.741573 | − | 1.28444i | −0.0506929 | − | 0.0878026i | ||||
\(215\) | −6.20450 | − | 2.10313i | −0.423143 | − | 0.143432i | ||||
\(216\) | −1.12562 | −0.0765888 | ||||||||
\(217\) | −16.4979 | + | 1.46610i | −1.11995 | + | 0.0995253i | ||||
\(218\) | 0.931218i | 0.0630700i | ||||||||
\(219\) | −1.17757 | + | 2.03961i | −0.0795728 | + | 0.137824i | ||||
\(220\) | −9.41956 | − | 10.7315i | −0.635067 | − | 0.723519i | ||||
\(221\) | 12.6138 | + | 21.8478i | 0.848498 | + | 1.46964i | ||||
\(222\) | −1.92993 | − | 1.11425i | −0.129529 | − | 0.0747835i | ||||
\(223\) | − | 7.86673i | − | 0.526795i | −0.964687 | − | 0.263398i | \(-0.915157\pi\) | ||
0.964687 | − | 0.263398i | \(-0.0848431\pi\) | |||||||
\(224\) | −0.763518 | − | 8.59183i | −0.0510147 | − | 0.574066i | ||||
\(225\) | −4.61773 | + | 1.91744i | −0.307849 | + | 0.127829i | ||||
\(226\) | 1.81895 | − | 3.15051i | 0.120995 | − | 0.209569i | ||||
\(227\) | 7.77575 | − | 4.48933i | 0.516095 | − | 0.297967i | −0.219241 | − | 0.975671i | \(-0.570358\pi\) |
0.735335 | + | 0.677703i | \(0.237025\pi\) | |||||||
\(228\) | 2.75192 | − | 1.58882i | 0.182250 | − | 0.105222i | ||||
\(229\) | −2.54306 | + | 4.40471i | −0.168050 | + | 0.291071i | −0.937734 | − | 0.347354i | \(-0.887080\pi\) |
0.769684 | + | 0.638425i | \(0.220414\pi\) | |||||||
\(230\) | −4.80999 | + | 0.958942i | −0.317161 | + | 0.0632308i | ||||
\(231\) | −7.21096 | + | 5.06387i | −0.474446 | + | 0.333178i | ||||
\(232\) | − | 0.133563i | − | 0.00876883i | ||||||
\(233\) | 18.8952 | + | 10.9091i | 1.23786 | + | 0.714681i | 0.968657 | − | 0.248401i | \(-0.0799052\pi\) |
0.269207 | + | 0.963082i | \(0.413239\pi\) | |||||||
\(234\) | 0.653336 | + | 1.13161i | 0.0427099 | + | 0.0739757i | ||||
\(235\) | 10.7315 | − | 9.41956i | 0.700048 | − | 0.614465i | ||||
\(236\) | −1.56281 | + | 2.70687i | −0.101730 | + | 0.176202i | ||||
\(237\) | 11.9403i | 0.775608i | ||||||||
\(238\) | −1.77710 | + | 3.82465i | −0.115193 | + | 0.247915i | ||||
\(239\) | −7.44905 | −0.481839 | −0.240920 | − | 0.970545i | \(-0.577449\pi\) | ||||
−0.240920 | + | 0.970545i | \(0.577449\pi\) | |||||||
\(240\) | 7.43623 | + | 2.52065i | 0.480007 | + | 0.162707i | ||||
\(241\) | 12.0879 | + | 20.9368i | 0.778650 | + | 1.34866i | 0.932720 | + | 0.360601i | \(0.117428\pi\) |
−0.154070 | + | 0.988060i | \(0.549238\pi\) | |||||||
\(242\) | −0.0227753 | + | 0.0131493i | −0.00146405 | + | 0.000845271i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | −14.0319 | −0.898297 | ||||||||
\(245\) | −14.5702 | + | 5.71924i | −0.930855 | + | 0.365389i | ||||
\(246\) | 0.0201680 | 0.00128586 | ||||||||
\(247\) | −6.52666 | − | 3.76817i | −0.415281 | − | 0.239763i | ||||
\(248\) | 6.10255 | − | 3.52331i | 0.387512 | − | 0.223730i | ||||
\(249\) | −0.612055 | − | 1.06011i | −0.0387874 | − | 0.0671817i | ||||
\(250\) | −3.20536 | + | 0.214294i | −0.202725 | + | 0.0135532i | ||||
\(251\) | 6.00200 | 0.378843 | 0.189421 | − | 0.981896i | \(-0.439339\pi\) | ||||
0.189421 | + | 0.981896i | \(0.439339\pi\) | |||||||
\(252\) | 2.13769 | − | 4.60068i | 0.134662 | − | 0.289816i | ||||
\(253\) | − | 25.4231i | − | 1.59834i | ||||||
\(254\) | −2.37735 | + | 4.11769i | −0.149168 | + | 0.258367i | ||||
\(255\) | −8.18303 | − | 9.32277i | −0.512441 | − | 0.583814i | ||||
\(256\) | −4.89810 | − | 8.48376i | −0.306131 | − | 0.530235i | ||||
\(257\) | −6.35139 | − | 3.66697i | −0.396189 | − | 0.228740i | 0.288650 | − | 0.957435i | \(-0.406794\pi\) |
−0.684838 | + | 0.728695i | \(0.740127\pi\) | |||||||
\(258\) | − | 0.841839i | − | 0.0524106i | ||||||
\(259\) | 16.7927 | − | 11.7926i | 1.04345 | − | 0.732755i | ||||
\(260\) | −3.81213 | − | 19.1214i | −0.236418 | − | 1.18586i | ||||
\(261\) | 0.0593285 | − | 0.102760i | 0.00367234 | − | 0.00636069i | ||||
\(262\) | 1.31832 | − | 0.761132i | 0.0814460 | − | 0.0470229i | ||||
\(263\) | −8.21661 | + | 4.74386i | −0.506658 | + | 0.292519i | −0.731459 | − | 0.681886i | \(-0.761160\pi\) |
0.224801 | + | 0.974405i | \(0.427827\pi\) | |||||||
\(264\) | 1.87438 | − | 3.24652i | 0.115360 | − | 0.199810i | ||||
\(265\) | 0.323431 | + | 1.62231i | 0.0198682 | + | 0.0996575i | ||||
\(266\) | −0.111519 | − | 1.25492i | −0.00683766 | − | 0.0769438i | ||||
\(267\) | 13.0001i | 0.795596i | ||||||||
\(268\) | −5.04159 | − | 2.91076i | −0.307964 | − | 0.177803i | ||||
\(269\) | 8.02423 | + | 13.8984i | 0.489246 | + | 0.847399i | 0.999923 | − | 0.0123733i | \(-0.00393863\pi\) |
−0.510677 | + | 0.859772i | \(0.670605\pi\) | |||||||
\(270\) | −0.423842 | − | 0.482874i | −0.0257942 | − | 0.0293868i | ||||
\(271\) | −12.0845 | + | 20.9309i | −0.734080 | + | 1.27146i | 0.221045 | + | 0.975264i | \(0.429053\pi\) |
−0.955126 | + | 0.296201i | \(0.904280\pi\) | |||||||
\(272\) | 19.4799i | 1.18114i | ||||||||
\(273\) | −11.9844 | + | 1.06500i | −0.725331 | + | 0.0644570i | ||||
\(274\) | 4.27272 | 0.258125 | ||||||||
\(275\) | 2.15914 | − | 16.5114i | 0.130201 | − | 0.995675i | ||||
\(276\) | 7.31853 | + | 12.6761i | 0.440524 | + | 0.763010i | ||||
\(277\) | 20.1071 | − | 11.6088i | 1.20812 | − | 0.697508i | 0.245771 | − | 0.969328i | \(-0.420959\pi\) |
0.962348 | + | 0.271820i | \(0.0876257\pi\) | |||||||
\(278\) | 2.36818 | + | 1.36727i | 0.142034 | + | 0.0820032i | ||||
\(279\) | 6.26020 | 0.374789 | ||||||||
\(280\) | 4.59629 | − | 4.81870i | 0.274681 | − | 0.287972i | ||||
\(281\) | 12.4472 | 0.742538 | 0.371269 | − | 0.928525i | \(-0.378923\pi\) | ||||
0.371269 | + | 0.928525i | \(0.378923\pi\) | |||||||
\(282\) | 1.58905 | + | 0.917438i | 0.0946265 | + | 0.0546326i | ||||
\(283\) | 7.50649 | − | 4.33388i | 0.446215 | − | 0.257622i | −0.260016 | − | 0.965604i | \(-0.583728\pi\) |
0.706230 | + | 0.707982i | \(0.250394\pi\) | |||||||
\(284\) | 3.61483 | + | 6.26107i | 0.214501 | + | 0.371526i | ||||
\(285\) | 3.50954 | + | 1.18963i | 0.207887 | + | 0.0704674i | ||||
\(286\) | −4.35173 | −0.257323 | ||||||||
\(287\) | −0.0782520 | + | 0.168412i | −0.00461907 | + | 0.00994107i | ||||
\(288\) | 3.26020i | 0.192109i | ||||||||
\(289\) | 6.88760 | − | 11.9297i | 0.405153 | − | 0.701746i | ||||
\(290\) | 0.0572965 | − | 0.0502918i | 0.00336456 | − | 0.00295324i | ||||
\(291\) | −1.52153 | − | 2.63537i | −0.0891936 | − | 0.154488i | ||||
\(292\) | 3.91083 | + | 2.25792i | 0.228864 | + | 0.132135i | ||||
\(293\) | 27.0063i | 1.57772i | 0.614571 | + | 0.788862i | \(0.289329\pi\) | ||||
−0.614571 | + | 0.788862i | \(0.710671\pi\) | |||||||
\(294\) | −1.29708 | − | 1.53725i | −0.0756471 | − | 0.0896540i | ||||
\(295\) | −3.57467 | + | 0.712664i | −0.208125 | + | 0.0414929i | ||||
\(296\) | −4.36500 | + | 7.56040i | −0.253710 | + | 0.439439i | ||||
\(297\) | 2.88421 | − | 1.66520i | 0.167359 | − | 0.0966245i | ||||
\(298\) | 2.82932 | − | 1.63351i | 0.163898 | − | 0.0946267i | ||||
\(299\) | 17.3572 | − | 30.0635i | 1.00379 | − | 1.73862i | ||||
\(300\) | 3.67657 | + | 8.85421i | 0.212267 | + | 0.511198i | ||||
\(301\) | 7.02976 | + | 3.26634i | 0.405189 | + | 0.188269i | ||||
\(302\) | − | 2.56888i | − | 0.147822i | ||||||
\(303\) | −13.8907 | − | 8.01983i | −0.798002 | − | 0.460727i | ||||
\(304\) | −2.90964 | − | 5.03965i | −0.166879 | − | 0.289044i | ||||
\(305\) | −10.7946 | − | 12.2981i | −0.618098 | − | 0.704187i | ||||
\(306\) | 0.797004 | − | 1.38045i | 0.0455617 | − | 0.0789151i | ||||
\(307\) | 2.24681i | 0.128232i | 0.997942 | + | 0.0641161i | \(0.0204228\pi\) | ||||
−0.997942 | + | 0.0641161i | \(0.979577\pi\) | |||||||
\(308\) | 9.70965 | + | 13.8266i | 0.553259 | + | 0.787842i | ||||
\(309\) | 5.29191 | 0.301046 | ||||||||
\(310\) | 3.80930 | + | 1.29123i | 0.216354 | + | 0.0733372i | ||||
\(311\) | −14.2994 | − | 24.7672i | −0.810843 | − | 1.40442i | −0.912275 | − | 0.409578i | \(-0.865676\pi\) |
0.101432 | − | 0.994842i | \(-0.467657\pi\) | |||||||
\(312\) | 4.43301 | − | 2.55940i | 0.250970 | − | 0.144898i | ||||
\(313\) | −11.5429 | − | 6.66427i | −0.652441 | − | 0.376687i | 0.136950 | − | 0.990578i | \(-0.456270\pi\) |
−0.789391 | + | 0.613891i | \(0.789603\pi\) | |||||||
\(314\) | −0.961518 | −0.0542616 | ||||||||
\(315\) | 5.67674 | − | 1.66572i | 0.319848 | − | 0.0938527i | ||||
\(316\) | 22.8948 | 1.28794 | ||||||||
\(317\) | −25.2815 | − | 14.5963i | −1.41995 | − | 0.819808i | −0.423656 | − | 0.905823i | \(-0.639253\pi\) |
−0.996294 | + | 0.0860147i | \(0.972587\pi\) | |||||||
\(318\) | −0.184091 | + | 0.106285i | −0.0103233 | + | 0.00596016i | ||||
\(319\) | 0.197587 | + | 0.342231i | 0.0110628 | + | 0.0191613i | ||||
\(320\) | 4.36885 | − | 12.8886i | 0.244226 | − | 0.720497i | ||||
\(321\) | −5.16172 | −0.288099 | ||||||||
\(322\) | 5.78047 | − | 0.513685i | 0.322133 | − | 0.0286266i | ||||
\(323\) | 9.19357i | 0.511544i | ||||||||
\(324\) | −0.958719 | + | 1.66055i | −0.0532622 | + | 0.0922528i | ||||
\(325\) | 13.8261 | − | 18.0511i | 0.766935 | − | 1.00129i | ||||
\(326\) | 2.26361 | + | 3.92069i | 0.125370 | + | 0.217147i | ||||
\(327\) | 2.80668 | + | 1.62043i | 0.155209 | + | 0.0896102i | ||||
\(328\) | − | 0.0790069i | − | 0.00436243i | ||||||
\(329\) | −13.8266 | + | 9.70965i | −0.762283 | + | 0.535310i | ||||
\(330\) | 2.09849 | − | 0.418365i | 0.115518 | − | 0.0230302i | ||||
\(331\) | 12.4457 | − | 21.5566i | 0.684080 | − | 1.18486i | −0.289646 | − | 0.957134i | \(-0.593537\pi\) |
0.973725 | − | 0.227727i | \(-0.0731293\pi\) | |||||||
\(332\) | −2.03270 | + | 1.17358i | −0.111559 | + | 0.0644084i | ||||
\(333\) | −6.71665 | + | 3.87786i | −0.368070 | + | 0.212505i | ||||
\(334\) | 3.24605 | − | 5.62233i | 0.177616 | − | 0.307640i | ||||
\(335\) | −1.32735 | − | 6.65789i | −0.0725209 | − | 0.363759i | ||||
\(336\) | −8.42533 | − | 3.91479i | −0.459639 | − | 0.213569i | ||||
\(337\) | 4.72659i | 0.257474i | 0.991679 | + | 0.128737i | \(0.0410923\pi\) | ||||
−0.991679 | + | 0.128737i | \(0.958908\pi\) | |||||||
\(338\) | −1.91112 | − | 1.10339i | −0.103951 | − | 0.0600164i | ||||
\(339\) | −6.33039 | − | 10.9646i | −0.343820 | − | 0.595513i | ||||
\(340\) | −17.8758 | + | 15.6905i | −0.969453 | + | 0.850934i | ||||
\(341\) | −10.4245 | + | 18.0557i | −0.564517 | + | 0.977772i | ||||
\(342\) | 0.476183i | 0.0257490i | ||||||||
\(343\) | 17.8694 | − | 4.86668i | 0.964857 | − | 0.262776i | ||||
\(344\) | −3.29785 | −0.177808 | ||||||||
\(345\) | −5.47973 | + | 16.1659i | −0.295019 | + | 0.870342i | ||||
\(346\) | 1.22494 | + | 2.12166i | 0.0658533 | + | 0.114061i | ||||
\(347\) | −12.2615 | + | 7.07915i | −0.658229 | + | 0.380029i | −0.791602 | − | 0.611037i | \(-0.790753\pi\) |
0.133373 | + | 0.991066i | \(0.457419\pi\) | |||||||
\(348\) | −0.197036 | − | 0.113759i | −0.0105622 | − | 0.00609811i | ||||
\(349\) | −5.04930 | −0.270283 | −0.135141 | − | 0.990826i | \(-0.543149\pi\) | ||||
−0.135141 | + | 0.990826i | \(0.543149\pi\) | |||||||
\(350\) | 3.79784 | + | 0.157306i | 0.203003 | + | 0.00840838i | ||||
\(351\) | 4.54754 | 0.242730 | ||||||||
\(352\) | −9.40310 | − | 5.42888i | −0.501187 | − | 0.289360i | ||||
\(353\) | 13.9417 | − | 8.04924i | 0.742042 | − | 0.428418i | −0.0807694 | − | 0.996733i | \(-0.525738\pi\) |
0.822811 | + | 0.568315i | \(0.192404\pi\) | |||||||
\(354\) | −0.234193 | − | 0.405635i | −0.0124472 | − | 0.0215592i | ||||
\(355\) | −2.70660 | + | 7.98480i | −0.143651 | + | 0.423789i | ||||
\(356\) | 24.9270 | 1.32113 | ||||||||
\(357\) | 8.43504 | + | 12.0115i | 0.446430 | + | 0.635717i | ||||
\(358\) | − | 3.38499i | − | 0.178902i | ||||||
\(359\) | 0.153241 | − | 0.265421i | 0.00808776 | − | 0.0140084i | −0.861953 | − | 0.506988i | \(-0.830759\pi\) |
0.870041 | + | 0.492979i | \(0.164092\pi\) | |||||||
\(360\) | −1.89163 | + | 1.66037i | −0.0996977 | + | 0.0875093i | ||||
\(361\) | 8.12679 | + | 14.0760i | 0.427726 | + | 0.740843i | ||||
\(362\) | 2.26188 | + | 1.30589i | 0.118882 | + | 0.0686363i | ||||
\(363\) | 0.0915259i | 0.00480386i | ||||||||
\(364\) | 2.04208 | + | 22.9794i | 0.107034 | + | 1.20445i | ||||
\(365\) | 1.02964 | + | 5.16461i | 0.0538940 | + | 0.270328i | ||||
\(366\) | 1.05136 | − | 1.82102i | 0.0549557 | − | 0.0951861i | ||||
\(367\) | 20.4813 | − | 11.8249i | 1.06911 | − | 0.617253i | 0.141174 | − | 0.989985i | \(-0.454912\pi\) |
0.927939 | + | 0.372732i | \(0.121579\pi\) | |||||||
\(368\) | 23.2140 | − | 13.4026i | 1.21011 | − | 0.698658i | ||||
\(369\) | 0.0350948 | − | 0.0607860i | 0.00182696 | − | 0.00316439i | ||||
\(370\) | −4.88690 | + | 0.974276i | −0.254058 | + | 0.0506502i | ||||
\(371\) | −0.173255 | − | 1.94963i | −0.00899496 | − | 0.101220i | ||||
\(372\) | − | 12.0036i | − | 0.622355i | ||||||
\(373\) | −16.3140 | − | 9.41887i | −0.844705 | − | 0.487691i | 0.0141557 | − | 0.999900i | \(-0.495494\pi\) |
−0.858861 | + | 0.512209i | \(0.828827\pi\) | |||||||
\(374\) | 2.65434 | + | 4.59744i | 0.137252 | + | 0.237728i | ||||
\(375\) | −4.93184 | + | 10.0338i | −0.254679 | + | 0.518143i | ||||
\(376\) | 3.59401 | − | 6.22500i | 0.185347 | − | 0.321030i | ||||
\(377\) | 0.539598i | 0.0277907i | ||||||||
\(378\) | 0.436894 | + | 0.622139i | 0.0224714 | + | 0.0319994i | ||||
\(379\) | −14.2534 | −0.732147 | −0.366074 | − | 0.930586i | \(-0.619298\pi\) | ||||
−0.366074 | + | 0.930586i | \(0.619298\pi\) | |||||||
\(380\) | 2.28103 | − | 6.72933i | 0.117015 | − | 0.345208i | ||||
\(381\) | 8.27377 | + | 14.3306i | 0.423878 | + | 0.734178i | ||||
\(382\) | −5.10014 | + | 2.94457i | −0.260946 | + | 0.150657i | ||||
\(383\) | 21.6995 | + | 12.5282i | 1.10879 | + | 0.640161i | 0.938516 | − | 0.345235i | \(-0.112201\pi\) |
0.170276 | + | 0.985396i | \(0.445534\pi\) | |||||||
\(384\) | 8.26917 | 0.421984 | ||||||||
\(385\) | −4.64861 | + | 19.1466i | −0.236915 | + | 0.975803i | ||||
\(386\) | −2.45470 | −0.124941 | ||||||||
\(387\) | −2.53729 | − | 1.46491i | −0.128978 | − | 0.0744653i | ||||
\(388\) | −5.05315 | + | 2.91744i | −0.256535 | + | 0.148110i | ||||
\(389\) | −6.73590 | − | 11.6669i | −0.341524 | − | 0.591536i | 0.643192 | − | 0.765705i | \(-0.277610\pi\) |
−0.984716 | + | 0.174169i | \(0.944276\pi\) | |||||||
\(390\) | 2.76715 | + | 0.937979i | 0.140120 | + | 0.0474964i | ||||
\(391\) | −42.3480 | −2.14163 | ||||||||
\(392\) | −6.02206 | + | 5.08122i | −0.304160 | + | 0.256640i | ||||
\(393\) | − | 5.29785i | − | 0.267241i | ||||||
\(394\) | −1.98385 | + | 3.43613i | −0.0999449 | + | 0.173110i | ||||
\(395\) | 17.6129 | + | 20.0660i | 0.886199 | + | 1.00963i | ||||
\(396\) | −3.19291 | − | 5.53029i | −0.160450 | − | 0.277907i | ||||
\(397\) | −15.9768 | − | 9.22418i | −0.801850 | − | 0.462948i | 0.0422675 | − | 0.999106i | \(-0.486542\pi\) |
−0.844118 | + | 0.536158i | \(0.819875\pi\) | |||||||
\(398\) | 1.08929i | 0.0546010i | ||||||||
\(399\) | −3.97635 | − | 1.84759i | −0.199067 | − | 0.0924953i | ||||
\(400\) | 16.2149 | − | 6.73298i | 0.810745 | − | 0.336649i | ||||
\(401\) | −12.7093 | + | 22.0131i | −0.634670 | + | 1.09928i | 0.351915 | + | 0.936032i | \(0.385531\pi\) |
−0.986585 | + | 0.163249i | \(0.947803\pi\) | |||||||
\(402\) | 0.755502 | − | 0.436189i | 0.0376810 | − | 0.0217552i | ||||
\(403\) | −24.6545 | + | 14.2343i | −1.22813 | + | 0.709059i | ||||
\(404\) | −15.3775 | + | 26.6346i | −0.765060 | + | 1.32512i | ||||
\(405\) | −2.19291 | + | 0.437190i | −0.108967 | + | 0.0217241i | ||||
\(406\) | −0.0738212 | + | 0.0518406i | −0.00366368 | + | 0.00257281i | ||||
\(407\) | − | 25.8296i | − | 1.28033i | ||||||
\(408\) | −5.40783 | − | 3.12221i | −0.267727 | − | 0.154573i | ||||
\(409\) | −9.36556 | − | 16.2216i | −0.463097 | − | 0.802108i | 0.536016 | − | 0.844208i | \(-0.319929\pi\) |
−0.999113 | + | 0.0420997i | \(0.986595\pi\) | |||||||
\(410\) | 0.0338928 | − | 0.0297493i | 0.00167385 | − | 0.00146921i | ||||
\(411\) | 7.43507 | − | 12.8779i | 0.366745 | − | 0.635221i | ||||
\(412\) | − | 10.1469i | − | 0.499903i | ||||||
\(413\) | 4.29592 | − | 0.381759i | 0.211388 | − | 0.0187851i | ||||
\(414\) | −2.19342 | −0.107801 | ||||||||
\(415\) | −2.59231 | − | 0.878713i | −0.127252 | − | 0.0431343i | ||||
\(416\) | −7.41296 | − | 12.8396i | −0.363450 | − | 0.629514i | ||||
\(417\) | 8.24184 | − | 4.75843i | 0.403605 | − | 0.233021i | ||||
\(418\) | −1.37341 | − | 0.792938i | −0.0671756 | − | 0.0387839i | ||||
\(419\) | −2.04745 | −0.100024 | −0.0500121 | − | 0.998749i | \(-0.515926\pi\) | ||||
−0.0500121 | + | 0.998749i | \(0.515926\pi\) | |||||||
\(420\) | −3.19392 | − | 10.8848i | −0.155847 | − | 0.531124i | ||||
\(421\) | −16.0512 | −0.782287 | −0.391144 | − | 0.920330i | \(-0.627920\pi\) | ||||
−0.391144 | + | 0.920330i | \(0.627920\pi\) | |||||||
\(422\) | −0.0284714 | − | 0.0164380i | −0.00138596 | − | 0.000800187i | ||||
\(423\) | 5.53029 | − | 3.19291i | 0.268892 | − | 0.155245i | ||||
\(424\) | 0.416364 | + | 0.721164i | 0.0202204 | + | 0.0350228i | ||||
\(425\) | −27.5035 | − | 3.59655i | −1.33412 | − | 0.174458i | ||||
\(426\) | −1.08339 | −0.0524906 | ||||||||
\(427\) | 11.1271 | + | 15.8450i | 0.538476 | + | 0.766791i | ||||
\(428\) | 9.89727i | 0.478403i | ||||||||
\(429\) | −7.57255 | + | 13.1160i | −0.365606 | + | 0.633249i | ||||
\(430\) | −1.24178 | − | 1.41473i | −0.0598837 | − | 0.0682244i | ||||
\(431\) | −18.3063 | − | 31.7075i | −0.881784 | − | 1.52729i | −0.849356 | − | 0.527820i | \(-0.823009\pi\) |
−0.0324277 | − | 0.999474i | \(-0.510324\pi\) | |||||||
\(432\) | 3.04100 | + | 1.75572i | 0.146310 | + | 0.0844722i | ||||
\(433\) | 18.0047i | 0.865252i | 0.901574 | + | 0.432626i | \(0.142413\pi\) | ||||
−0.901574 | + | 0.432626i | \(0.857587\pi\) | |||||||
\(434\) | −4.31598 | − | 2.00540i | −0.207174 | − | 0.0962622i | ||||
\(435\) | −0.0518757 | − | 0.260205i | −0.00248725 | − | 0.0124759i | ||||
\(436\) | 3.10708 | − | 5.38163i | 0.148802 | − | 0.257733i | ||||
\(437\) | 10.9559 | − | 6.32538i | 0.524090 | − | 0.302584i | ||||
\(438\) | −0.586053 | + | 0.338358i | −0.0280027 | + | 0.0161674i | ||||
\(439\) | −9.68731 | + | 16.7789i | −0.462350 | + | 0.800814i | −0.999078 | − | 0.0429418i | \(-0.986327\pi\) |
0.536727 | + | 0.843756i | \(0.319660\pi\) | |||||||
\(440\) | −1.63892 | − | 8.22070i | −0.0781324 | − | 0.391907i | ||||
\(441\) | −6.89031 | + | 1.23437i | −0.328110 | + | 0.0587796i | ||||
\(442\) | 7.24881i | 0.344791i | ||||||||
\(443\) | −14.2396 | − | 8.22121i | −0.676542 | − | 0.390602i | 0.122009 | − | 0.992529i | \(-0.461066\pi\) |
−0.798551 | + | 0.601927i | \(0.794400\pi\) | |||||||
\(444\) | 7.43556 | + | 12.8788i | 0.352876 | + | 0.611199i | ||||
\(445\) | 19.1762 | + | 21.8470i | 0.909038 | + | 1.03565i | ||||
\(446\) | 1.13020 | − | 1.95756i | 0.0535164 | − | 0.0926931i | ||||
\(447\) | − | 11.3700i | − | 0.537785i | ||||||
\(448\) | −6.78520 | + | 14.6030i | −0.320571 | + | 0.689926i | ||||
\(449\) | 32.7245 | 1.54436 | 0.772182 | − | 0.635401i | \(-0.219165\pi\) | ||||
0.772182 | + | 0.635401i | \(0.219165\pi\) | |||||||
\(450\) | −1.42455 | − | 0.186284i | −0.0671540 | − | 0.00878152i | ||||
\(451\) | 0.116880 | + | 0.202441i | 0.00550365 | + | 0.00953259i | ||||
\(452\) | −21.0239 | + | 12.1381i | −0.988880 | + | 0.570930i | ||||
\(453\) | −7.74255 | − | 4.47016i | −0.363777 | − | 0.210027i | ||||
\(454\) | 2.57989 | 0.121080 | ||||||||
\(455\) | −18.5692 | + | 19.4677i | −0.870535 | + | 0.912659i | ||||
\(456\) | 1.86542 | 0.0873561 | ||||||||
\(457\) | 32.4156 | + | 18.7152i | 1.51634 | + | 0.875459i | 0.999816 | + | 0.0191857i | \(0.00610737\pi\) |
0.516523 | + | 0.856273i | \(0.327226\pi\) | |||||||
\(458\) | −1.26563 | + | 0.730712i | −0.0591390 | + | 0.0341439i | ||||
\(459\) | −2.77377 | − | 4.80431i | −0.129469 | − | 0.224246i | ||||
\(460\) | 30.9971 | + | 10.5071i | 1.44525 | + | 0.489894i | ||||
\(461\) | 28.3604 | 1.32088 | 0.660438 | − | 0.750881i | \(-0.270371\pi\) | ||||
0.660438 | + | 0.750881i | \(0.270371\pi\) | |||||||
\(462\) | −2.52189 | + | 0.224109i | −0.117329 | + | 0.0104265i | ||||
\(463\) | 7.20833i | 0.334999i | 0.985872 | + | 0.167500i | \(0.0535693\pi\) | ||||
−0.985872 | + | 0.167500i | \(0.946431\pi\) | |||||||
\(464\) | −0.208329 | + | 0.360836i | −0.00967143 | + | 0.0167514i | ||||
\(465\) | 10.5204 | − | 9.23426i | 0.487873 | − | 0.428229i | ||||
\(466\) | 3.13458 | + | 5.42926i | 0.145207 | + | 0.251506i | ||||
\(467\) | −10.4607 | − | 6.03950i | −0.484065 | − | 0.279475i | 0.238044 | − | 0.971254i | \(-0.423494\pi\) |
−0.722109 | + | 0.691779i | \(0.756827\pi\) | |||||||
\(468\) | − | 8.71963i | − | 0.403065i | ||||||
\(469\) | 0.711033 | + | 8.00122i | 0.0328325 | + | 0.369462i | ||||
\(470\) | 4.02372 | − | 0.802189i | 0.185601 | − | 0.0370022i | ||||
\(471\) | −1.67316 | + | 2.89800i | −0.0770952 | + | 0.133533i | ||||
\(472\) | −1.58905 | + | 0.917438i | −0.0731419 | + | 0.0422285i | ||||
\(473\) | 8.45018 | − | 4.87871i | 0.388540 | − | 0.224323i | ||||
\(474\) | −1.71544 | + | 2.97123i | −0.0787929 | + | 0.136473i | ||||
\(475\) | 7.65266 | − | 3.17764i | 0.351128 | − | 0.145800i | ||||
\(476\) | 23.0313 | − | 16.1737i | 1.05564 | − | 0.741319i | ||||
\(477\) | 0.739795i | 0.0338729i | ||||||||
\(478\) | −1.85362 | − | 1.07019i | −0.0847827 | − | 0.0489493i | ||||
\(479\) | 10.0708 | + | 17.4432i | 0.460149 | + | 0.797001i | 0.998968 | − | 0.0454204i | \(-0.0144627\pi\) |
−0.538819 | + | 0.842421i | \(0.681129\pi\) | |||||||
\(480\) | 4.80904 | + | 5.47885i | 0.219502 | + | 0.250074i | ||||
\(481\) | 17.6347 | − | 30.5443i | 0.804075 | − | 1.39270i | ||||
\(482\) | 6.94657i | 0.316408i | ||||||||
\(483\) | 8.51050 | − | 18.3161i | 0.387241 | − | 0.833413i | ||||
\(484\) | 0.175495 | 0.00797705 | ||||||||
\(485\) | −6.44432 | − | 2.18443i | −0.292622 | − | 0.0991896i | ||||
\(486\) | −0.143668 | − | 0.248840i | −0.00651691 | − | 0.0112876i | ||||
\(487\) | −34.5887 | + | 19.9698i | −1.56737 | + | 0.904919i | −0.570891 | + | 0.821026i | \(0.693402\pi\) |
−0.996475 | + | 0.0838930i | \(0.973265\pi\) | |||||||
\(488\) | −7.13372 | − | 4.11866i | −0.322928 | − | 0.186443i | ||||
\(489\) | 15.7559 | 0.712505 | ||||||||
\(490\) | −4.44732 | − | 0.670092i | −0.200909 | − | 0.0302717i | ||||
\(491\) | −31.5989 | −1.42604 | −0.713019 | − | 0.701145i | \(-0.752673\pi\) | ||||
−0.713019 | + | 0.701145i | \(0.752673\pi\) | |||||||
\(492\) | −0.116553 | − | 0.0672922i | −0.00525463 | − | 0.00303376i | ||||
\(493\) | 0.570066 | − | 0.329127i | 0.0256745 | − | 0.0148232i | ||||
\(494\) | −1.08273 | − | 1.87534i | −0.0487143 | − | 0.0843757i | ||||
\(495\) | 2.39069 | − | 7.05282i | 0.107453 | − | 0.317001i | ||||
\(496\) | −21.9824 | −0.987037 | ||||||||
\(497\) | 4.20358 | − | 9.04686i | 0.188556 | − | 0.405807i | ||||
\(498\) | − | 0.351730i | − | 0.0157614i | ||||||
\(499\) | 19.8929 | − | 34.4556i | 0.890530 | − | 1.54244i | 0.0512890 | − | 0.998684i | \(-0.483667\pi\) |
0.839241 | − | 0.543759i | \(-0.183000\pi\) | |||||||
\(500\) | 19.2392 | + | 9.45650i | 0.860402 | + | 0.422907i | ||||
\(501\) | −11.2971 | − | 19.5671i | −0.504716 | − | 0.874194i | ||||
\(502\) | 1.49354 | + | 0.862295i | 0.0666599 | + | 0.0384861i | ||||
\(503\) | 12.8734i | 0.573995i | 0.957931 | + | 0.286997i | \(0.0926571\pi\) | ||||
−0.957931 | + | 0.286997i | \(0.907343\pi\) | |||||||
\(504\) | 2.43719 | − | 1.71151i | 0.108561 | − | 0.0762365i | ||||
\(505\) | −35.1735 | + | 7.01237i | −1.56520 | + | 0.312046i | ||||
\(506\) | 3.65248 | − | 6.32628i | 0.162373 | − | 0.281238i | ||||
\(507\) | −6.65118 | + | 3.84006i | −0.295389 | + | 0.170543i | ||||
\(508\) | 27.4780 | − | 15.8644i | 1.21914 | − | 0.703871i | ||||
\(509\) | 16.6981 | − | 28.9219i | 0.740128 | − | 1.28194i | −0.212308 | − | 0.977203i | \(-0.568098\pi\) |
0.952437 | − | 0.304737i | \(-0.0985685\pi\) | |||||||
\(510\) | −0.696884 | − | 3.49552i | −0.0308585 | − | 0.154784i | ||||
\(511\) | −0.551558 | − | 6.20665i | −0.0243995 | − | 0.274566i | ||||
\(512\) | − | 19.3531i | − | 0.855296i | ||||||
\(513\) | 1.43521 | + | 0.828617i | 0.0633659 | + | 0.0365843i | ||||
\(514\) | −1.05365 | − | 1.82498i | −0.0464746 | − | 0.0804965i | ||||
\(515\) | 8.89318 | − | 7.80596i | 0.391880 | − | 0.343972i | ||||
\(516\) | −2.80887 | + | 4.86510i | −0.123653 | + | 0.214174i | ||||
\(517\) | 21.2673i | 0.935335i | ||||||||
\(518\) | 5.87290 | − | 0.521899i | 0.258041 | − | 0.0229309i | ||||
\(519\) | 8.52620 | 0.374259 | ||||||||
\(520\) | 3.67448 | − | 10.8402i | 0.161136 | − | 0.475372i | ||||
\(521\) | −6.77589 | − | 11.7362i | −0.296857 | − | 0.514172i | 0.678558 | − | 0.734547i | \(-0.262605\pi\) |
−0.975415 | + | 0.220375i | \(0.929272\pi\) | |||||||
\(522\) | 0.0295266 | − | 0.0170472i | 0.00129235 | − | 0.000746136i | ||||
\(523\) | 17.5052 | + | 10.1066i | 0.765450 | + | 0.441933i | 0.831249 | − | 0.555900i | \(-0.187626\pi\) |
−0.0657991 | + | 0.997833i | \(0.520960\pi\) | |||||||
\(524\) | −10.1583 | −0.443768 | ||||||||
\(525\) | 7.08283 | − | 11.1729i | 0.309120 | − | 0.487625i | ||||
\(526\) | −2.72616 | −0.118866 | ||||||||
\(527\) | 30.0760 | + | 17.3644i | 1.31013 | + | 0.756404i | ||||
\(528\) | −10.1277 | + | 5.84725i | −0.440753 | + | 0.254469i | ||||
\(529\) | 17.6364 | + | 30.5471i | 0.766798 | + | 1.32813i | ||||
\(530\) | −0.152591 | + | 0.450162i | −0.00662812 | + | 0.0195538i | ||||
\(531\) | −1.63010 | −0.0707404 | ||||||||
\(532\) | −3.54264 | + | 7.62441i | −0.153593 | + | 0.330560i | ||||
\(533\) | 0.319190i | 0.0138257i | ||||||||
\(534\) | −1.86770 | + | 3.23496i | −0.0808235 | + | 0.139990i | ||||
\(535\) | −8.67438 | + | 7.61391i | −0.375026 | + | 0.329178i | ||||
\(536\) | −1.70875 | − | 2.95963i | −0.0738066 | − | 0.127837i | ||||
\(537\) | −10.2023 | − | 5.89031i | −0.440262 | − | 0.254186i | ||||
\(538\) | 4.61130i | 0.198807i | ||||||||
\(539\) | 7.91354 | − | 21.9285i | 0.340860 | − | 0.944529i | ||||
\(540\) | 0.838284 | + | 4.20477i | 0.0360740 | + | 0.180945i | ||||
\(541\) | 16.4854 | − | 28.5535i | 0.708762 | − | 1.22761i | −0.256554 | − | 0.966530i | \(-0.582587\pi\) |
0.965317 | − | 0.261082i | \(-0.0840794\pi\) | |||||||
\(542\) | −6.01421 | + | 3.47231i | −0.258332 | + | 0.149148i | ||||
\(543\) | 7.87189 | − | 4.54484i | 0.337815 | − | 0.195038i | ||||
\(544\) | −9.04306 | + | 15.6630i | −0.387718 | + | 0.671547i | ||||
\(545\) | 7.10694 | − | 1.41688i | 0.304428 | − | 0.0606923i | ||||
\(546\) | −3.13521 | − | 1.45676i | −0.134175 | − | 0.0623437i | ||||
\(547\) | − | 24.6221i | − | 1.05277i | −0.850248 | − | 0.526383i | \(-0.823548\pi\) | ||
0.850248 | − | 0.526383i | \(-0.176452\pi\) | |||||||
\(548\) | −24.6926 | − | 14.2563i | −1.05482 | − | 0.608998i | ||||
\(549\) | −3.65901 | − | 6.33759i | −0.156163 | − | 0.270482i | ||||
\(550\) | 2.90944 | − | 3.79850i | 0.124059 | − | 0.161969i | ||||
\(551\) | −0.0983213 | + | 0.170297i | −0.00418863 | + | 0.00725491i | ||||
\(552\) | 8.59260i | 0.365725i | ||||||||
\(553\) | −18.1553 | − | 25.8532i | −0.772041 | − | 1.09939i | ||||
\(554\) | 6.67127 | 0.283435 | ||||||||
\(555\) | −5.56736 | + | 16.4244i | −0.236321 | + | 0.697177i | ||||
\(556\) | −9.12399 | − | 15.8032i | −0.386943 | − | 0.670206i | ||||
\(557\) | 20.7796 | − | 11.9971i | 0.880460 | − | 0.508334i | 0.00964963 | − | 0.999953i | \(-0.496928\pi\) |
0.870810 | + | 0.491620i | \(0.163595\pi\) | |||||||
\(558\) | 1.55779 | + | 0.899391i | 0.0659465 | + | 0.0380742i | ||||
\(559\) | 13.3234 | 0.563521 | ||||||||
\(560\) | −19.9336 | + | 5.84909i | −0.842347 | + | 0.247169i | ||||
\(561\) | 18.4755 | 0.780036 | ||||||||
\(562\) | 3.09736 | + | 1.78826i | 0.130654 | + | 0.0754333i | ||||
\(563\) | −0.196151 | + | 0.113248i | −0.00826680 | + | 0.00477284i | −0.504128 | − | 0.863629i | \(-0.668186\pi\) |
0.495861 | + | 0.868402i | \(0.334853\pi\) | |||||||
\(564\) | −6.12221 | − | 10.6040i | −0.257792 | − | 0.446508i | ||||
\(565\) | −26.8119 | − | 9.08840i | −1.12799 | − | 0.382352i | ||||
\(566\) | 2.49056 | 0.104686 | ||||||||
\(567\) | 2.63537 | − | 0.234193i | 0.110675 | − | 0.00983520i | ||||
\(568\) | 4.24413i | 0.178080i | ||||||||
\(569\) | −6.40275 | + | 11.0899i | −0.268417 | + | 0.464912i | −0.968453 | − | 0.249195i | \(-0.919834\pi\) |
0.700036 | + | 0.714108i | \(0.253167\pi\) | |||||||
\(570\) | 0.702404 | + | 0.800236i | 0.0294205 | + | 0.0335182i | ||||
\(571\) | 0.780149 | + | 1.35126i | 0.0326482 | + | 0.0565484i | 0.881888 | − | 0.471459i | \(-0.156273\pi\) |
−0.849240 | + | 0.528008i | \(0.822939\pi\) | |||||||
\(572\) | 25.1492 | + | 14.5199i | 1.05154 | + | 0.607107i | ||||
\(573\) | 20.4957i | 0.856219i | ||||||||
\(574\) | −0.0436677 | + | 0.0306655i | −0.00182265 | + | 0.00127995i | ||||
\(575\) | 14.6371 | + | 35.2502i | 0.610408 | + | 1.47003i | ||||
\(576\) | 3.04306 | − | 5.27073i | 0.126794 | − | 0.219614i | ||||
\(577\) | −37.8018 | + | 21.8249i | −1.57371 | + | 0.908581i | −0.578000 | + | 0.816037i | \(0.696167\pi\) |
−0.995709 | + | 0.0925443i | \(0.970500\pi\) | |||||||
\(578\) | 3.42782 | − | 1.97905i | 0.142579 | − | 0.0823178i | ||||
\(579\) | −4.27148 | + | 7.39842i | −0.177517 | + | 0.307468i | ||||
\(580\) | −0.498926 | + | 0.0994684i | −0.0207168 | + | 0.00413020i | ||||
\(581\) | 2.93712 | + | 1.36472i | 0.121852 | + | 0.0566180i | ||||
\(582\) | − | 0.874380i | − | 0.0362442i | ||||||
\(583\) | −2.13372 | − | 1.23191i | −0.0883697 | − | 0.0510203i | ||||
\(584\) | 1.32550 | + | 2.29583i | 0.0548494 | + | 0.0950020i | ||||
\(585\) | 7.64225 | − | 6.70796i | 0.315968 | − | 0.277340i | ||||
\(586\) | −3.87994 | + | 6.72025i | −0.160279 | + | 0.277611i | ||||
\(587\) | − | 13.6961i | − | 0.565297i | −0.959224 | − | 0.282648i | \(-0.908787\pi\) | ||
0.959224 | − | 0.282648i | \(-0.0912129\pi\) | |||||||
\(588\) | 2.36683 | + | 13.2117i | 0.0976064 | + | 0.544843i | ||||
\(589\) | −10.3746 | −0.427479 | ||||||||
\(590\) | −0.991909 | − | 0.336226i | −0.0408362 | − | 0.0138422i | ||||
\(591\) | 6.90429 | + | 11.9586i | 0.284004 | + | 0.491910i | ||||
\(592\) | 23.5852 | − | 13.6169i | 0.969344 | − | 0.559651i | ||||
\(593\) | −7.92838 | − | 4.57745i | −0.325579 | − | 0.187973i | 0.328297 | − | 0.944574i | \(-0.393525\pi\) |
−0.653877 | + | 0.756601i | \(0.726859\pi\) | |||||||
\(594\) | 0.956942 | 0.0392638 | ||||||||
\(595\) | 31.8931 | + | 7.74333i | 1.30749 | + | 0.317446i | ||||
\(596\) | −21.8014 | −0.893018 | ||||||||
\(597\) | 3.28309 | + | 1.89549i | 0.134368 | + | 0.0775773i | ||||
\(598\) | 8.63833 | − | 4.98734i | 0.353247 | − | 0.203948i | ||||
\(599\) | 20.1368 | + | 34.8780i | 0.822767 | + | 1.42507i | 0.903614 | + | 0.428348i | \(0.140904\pi\) |
−0.0808467 | + | 0.996727i | \(0.525762\pi\) | |||||||
\(600\) | −0.729756 | + | 5.58059i | −0.0297922 | + | 0.227827i | ||||
\(601\) | −8.82450 | −0.359959 | −0.179980 | − | 0.983670i | \(-0.557603\pi\) | ||||
−0.179980 | + | 0.983670i | \(0.557603\pi\) | |||||||
\(602\) | 1.28002 | + | 1.82275i | 0.0521696 | + | 0.0742897i | ||||
\(603\) | − | 3.03610i | − | 0.123639i | ||||||
\(604\) | −8.57126 | + | 14.8459i | −0.348760 | + | 0.604070i | ||||
\(605\) | 0.135007 | + | 0.153811i | 0.00548883 | + | 0.00625332i | ||||
\(606\) | −2.30438 | − | 3.99131i | −0.0936092 | − | 0.162136i | ||||
\(607\) | −24.3409 | − | 14.0532i | −0.987966 | − | 0.570402i | −0.0833003 | − | 0.996524i | \(-0.526546\pi\) |
−0.904666 | + | 0.426122i | \(0.859879\pi\) | |||||||
\(608\) | − | 5.40292i | − | 0.219117i | ||||||
\(609\) | 0.0277887 | + | 0.312705i | 0.00112606 | + | 0.0126714i | ||||
\(610\) | −0.919292 | − | 4.61110i | −0.0372211 | − | 0.186698i | ||||
\(611\) | −14.5199 | + | 25.1492i | −0.587412 | + | 1.01743i | ||||
\(612\) | −9.21197 | + | 5.31853i | −0.372372 | + | 0.214989i | ||||
\(613\) | 1.83025 | − | 1.05670i | 0.0739232 | − | 0.0426796i | −0.462583 | − | 0.886576i | \(-0.653077\pi\) |
0.536506 | + | 0.843896i | \(0.319744\pi\) | |||||||
\(614\) | −0.322795 | + | 0.559097i | −0.0130269 | + | 0.0225633i | ||||
\(615\) | −0.0306862 | − | 0.153920i | −0.00123739 | − | 0.00620664i | ||||
\(616\) | 0.877935 | + | 9.87935i | 0.0353730 | + | 0.398050i | ||||
\(617\) | 18.0390i | 0.726221i | 0.931746 | + | 0.363111i | \(0.118285\pi\) | ||||
−0.931746 | + | 0.363111i | \(0.881715\pi\) | |||||||
\(618\) | 1.31684 | + | 0.760278i | 0.0529711 | + | 0.0305829i | ||||
\(619\) | −7.31895 | − | 12.6768i | −0.294173 | − | 0.509523i | 0.680619 | − | 0.732638i | \(-0.261711\pi\) |
−0.974792 | + | 0.223114i | \(0.928378\pi\) | |||||||
\(620\) | −17.7061 | − | 20.1722i | −0.711095 | − | 0.810137i | ||||
\(621\) | −3.81683 | + | 6.61094i | −0.153164 | + | 0.265288i | ||||
\(622\) | − | 8.21744i | − | 0.329489i | ||||||
\(623\) | −19.7667 | − | 28.1479i | −0.791937 | − | 1.12772i | ||||
\(624\) | −15.9684 | −0.639249 | ||||||||
\(625\) | 6.51251 | + | 24.1368i | 0.260501 | + | 0.965474i | ||||
\(626\) | −1.91488 | − | 3.31668i | −0.0765341 | − | 0.132561i | ||||
\(627\) | −4.77980 | + | 2.75962i | −0.190887 | + | 0.110209i | ||||
\(628\) | 5.55673 | + | 3.20818i | 0.221738 | + | 0.128020i | ||||
\(629\) | −43.0252 | −1.71553 | ||||||||
\(630\) | 1.65191 | + | 0.401067i | 0.0658137 | + | 0.0159789i | ||||
\(631\) | 12.1251 | 0.482692 | 0.241346 | − | 0.970439i | \(-0.422411\pi\) | ||||
0.241346 | + | 0.970439i | \(0.422411\pi\) | |||||||
\(632\) | 11.6396 | + | 6.72014i | 0.462999 | + | 0.267313i | ||||
\(633\) | −0.0990874 | + | 0.0572082i | −0.00393837 | + | 0.00227382i | ||||
\(634\) | −4.19403 | − | 7.26428i | −0.166566 | − | 0.288501i | ||||
\(635\) | 35.0429 | + | 11.8785i | 1.39064 | + | 0.471383i | ||||
\(636\) | 1.41851 | 0.0562477 | ||||||||
\(637\) | 24.3293 | − | 20.5283i | 0.963963 | − | 0.813360i | ||||
\(638\) | 0.113548i | 0.00449540i | ||||||||
\(639\) | −1.88524 | + | 3.26533i | −0.0745790 | + | 0.129175i | ||||
\(640\) | 13.8965 | − | 12.1976i | 0.549308 | − | 0.482154i | ||||
\(641\) | 6.52024 | + | 11.2934i | 0.257534 | + | 0.446062i | 0.965581 | − | 0.260104i | \(-0.0837567\pi\) |
−0.708047 | + | 0.706166i | \(0.750423\pi\) | |||||||
\(642\) | −1.28444 | − | 0.741573i | −0.0506929 | − | 0.0292675i | ||||
\(643\) | − | 27.0185i | − | 1.06550i | −0.846271 | − | 0.532752i | \(-0.821158\pi\) | ||
0.846271 | − | 0.532752i | \(-0.178842\pi\) | |||||||
\(644\) | −35.1200 | − | 16.3184i | −1.38392 | − | 0.643033i | ||||
\(645\) | −6.42482 | + | 1.28088i | −0.252977 | + | 0.0504347i | ||||
\(646\) | −1.32082 | + | 2.28773i | −0.0519670 | + | 0.0900095i | ||||
\(647\) | −30.2927 | + | 17.4895i | −1.19093 | + | 0.687582i | −0.958517 | − | 0.285035i | \(-0.907995\pi\) |
−0.232411 | + | 0.972618i | \(0.574661\pi\) | |||||||
\(648\) | −0.974816 | + | 0.562810i | −0.0382944 | + | 0.0221093i | ||||
\(649\) | 2.71444 | − | 4.70155i | 0.106551 | − | 0.184552i | ||||
\(650\) | 6.03386 | − | 2.50546i | 0.236667 | − | 0.0982723i | ||||
\(651\) | −13.5546 | + | 9.51864i | −0.531246 | + | 0.373065i | ||||
\(652\) | − | 30.2109i | − | 1.18315i | ||||||
\(653\) | 28.0168 | + | 16.1755i | 1.09638 | + | 0.632997i | 0.935269 | − | 0.353939i | \(-0.115158\pi\) |
0.161114 | + | 0.986936i | \(0.448491\pi\) | |||||||
\(654\) | 0.465609 | + | 0.806458i | 0.0182067 | + | 0.0315350i | ||||
\(655\) | −7.81473 | − | 8.90317i | −0.305347 | − | 0.347875i | ||||
\(656\) | −0.123234 | + | 0.213447i | −0.00481146 | + | 0.00833370i | ||||
\(657\) | 2.35514i | 0.0918827i | ||||||||
\(658\) | −4.83557 | + | 0.429716i | −0.188510 | + | 0.0167521i | ||||
\(659\) | −8.54282 | −0.332781 | −0.166390 | − | 0.986060i | \(-0.553211\pi\) | ||||
−0.166390 | + | 0.986060i | \(0.553211\pi\) | |||||||
\(660\) | −13.5233 | − | 4.58399i | −0.526395 | − | 0.178432i | ||||
\(661\) | 15.1715 | + | 26.2779i | 0.590104 | + | 1.02209i | 0.994218 | + | 0.107382i | \(0.0342467\pi\) |
−0.404114 | + | 0.914709i | \(0.632420\pi\) | |||||||
\(662\) | 6.19400 | − | 3.57611i | 0.240737 | − | 0.138989i | ||||
\(663\) | 21.8478 | + | 12.6138i | 0.848498 | + | 0.489881i | ||||
\(664\) | −1.37788 | −0.0534722 | ||||||||
\(665\) | −9.40768 | + | 2.76049i | −0.364814 | + | 0.107047i | ||||
\(666\) | −2.22850 | −0.0863525 | ||||||||
\(667\) | −0.784435 | − | 0.452894i | −0.0303734 | − | 0.0175361i | ||||
\(668\) | −37.5187 | + | 21.6614i | −1.45164 | + | 0.838107i | ||||
\(669\) | −3.93337 | − | 6.81279i | −0.152073 | − | 0.263398i | ||||
\(670\) | 0.626227 | − | 1.84745i | 0.0241933 | − | 0.0713731i | ||||
\(671\) | 24.3719 | 0.940867 | ||||||||
\(672\) | −4.95714 | − | 7.05899i | −0.191226 | − | 0.272306i | ||||
\(673\) | 40.5075i | 1.56145i | 0.624875 | + | 0.780725i | \(0.285150\pi\) | ||||
−0.624875 | + | 0.780725i | \(0.714850\pi\) | |||||||
\(674\) | −0.679059 | + | 1.17617i | −0.0261564 | + | 0.0453042i | ||||
\(675\) | −3.04035 | + | 3.96942i | −0.117023 | + | 0.152783i | ||||
\(676\) | 7.36308 | + | 12.7532i | 0.283195 | + | 0.490509i | ||||
\(677\) | −20.2833 | − | 11.7105i | −0.779549 | − | 0.450073i | 0.0567215 | − | 0.998390i | \(-0.481935\pi\) |
−0.836270 | + | 0.548317i | \(0.815269\pi\) | |||||||
\(678\) | − | 3.63790i | − | 0.139713i | ||||||
\(679\) | 7.30149 | + | 3.39260i | 0.280205 | + | 0.130196i | ||||
\(680\) | −13.6935 | + | 2.73000i | −0.525121 | + | 0.104691i | ||||
\(681\) | 4.48933 | − | 7.77575i | 0.172032 | − | 0.297967i | ||||
\(682\) | −5.18806 | + | 2.99533i | −0.198661 | + | 0.114697i | ||||
\(683\) | −44.1887 | + | 25.5124i | −1.69083 | + | 0.976204i | −0.736989 | + | 0.675904i | \(0.763753\pi\) |
−0.953845 | + | 0.300299i | \(0.902913\pi\) | |||||||
\(684\) | 1.58882 | − | 2.75192i | 0.0607501 | − | 0.105222i | ||||
\(685\) | −6.50107 | − | 32.6089i | −0.248393 | − | 1.24592i | ||||
\(686\) | 5.14581 | + | 1.35623i | 0.196468 | + | 0.0517812i | ||||
\(687\) | 5.08612i | 0.194047i | ||||||||
\(688\) | 8.90956 | + | 5.14393i | 0.339674 | + | 0.196111i | ||||
\(689\) | −1.68212 | − | 2.91353i | −0.0640838 | − | 0.110996i | ||||
\(690\) | −3.68610 | + | 3.23546i | −0.140327 | + | 0.123172i | ||||
\(691\) | −12.3057 | + | 21.3142i | −0.468133 | + | 0.810829i | −0.999337 | − | 0.0364144i | \(-0.988406\pi\) |
0.531204 | + | 0.847244i | \(0.321740\pi\) | |||||||
\(692\) | − | 16.3485i | − | 0.621476i | ||||||
\(693\) | −3.71294 | + | 7.99092i | −0.141043 | + | 0.303550i | ||||
\(694\) | −4.06819 | −0.154426 | ||||||||
\(695\) | 6.83157 | − | 20.1540i | 0.259136 | − | 0.764483i | ||||
\(696\) | −0.0667814 | − | 0.115669i | −0.00253134 | − | 0.00438441i | ||||
\(697\) | 0.337213 | − | 0.194690i | 0.0127728 | − | 0.00737441i | ||||
\(698\) | −1.25647 | − | 0.725422i | −0.0475580 | − | 0.0274576i | ||||
\(699\) | 21.8183 | 0.825243 | ||||||||
\(700\) | −21.4233 | − | 13.5809i | −0.809726 | − | 0.513309i | ||||
\(701\) | 25.7244 | 0.971595 | 0.485798 | − | 0.874071i | \(-0.338529\pi\) | ||||
0.485798 | + | 0.874071i | \(0.338529\pi\) | |||||||
\(702\) | 1.13161 | + | 0.653336i | 0.0427099 | + | 0.0246586i | ||||
\(703\) | 11.1311 | − | 6.42652i | 0.419816 | − | 0.242381i | ||||
\(704\) | 10.1346 | + | 17.5536i | 0.381962 | + | 0.661577i | ||||
\(705\) | 4.58399 | − | 13.5233i | 0.172643 | − | 0.509319i | ||||
\(706\) | 4.62567 | 0.174089 | ||||||||
\(707\) | 42.2703 | − | 3.75638i | 1.58974 | − | 0.141273i | ||||
\(708\) | 3.12562i | 0.117468i | ||||||||
\(709\) | 5.85482 | − | 10.1408i | 0.219882 | − | 0.380848i | −0.734889 | − | 0.678187i | \(-0.762766\pi\) |
0.954772 | + | 0.297339i | \(0.0960993\pi\) | |||||||
\(710\) | −1.82067 | + | 1.59809i | −0.0683285 | + | 0.0599751i | ||||
\(711\) | 5.97016 | + | 10.3406i | 0.223899 | + | 0.387804i | ||||
\(712\) | 12.6727 | + | 7.31661i | 0.474931 | + | 0.274202i | ||||
\(713\) | − | 47.7883i | − | 1.78968i | ||||||
\(714\) | 0.373306 | + | 4.20079i | 0.0139706 | + | 0.157211i | ||||
\(715\) | 6.62129 | + | 33.2119i | 0.247622 | + | 1.24205i | ||||
\(716\) | −11.2943 | + | 19.5623i | −0.422088 | + | 0.731077i | ||||
\(717\) | −6.45107 | + | 3.72453i | −0.240920 | + | 0.139095i | ||||
\(718\) | 0.0762651 | − | 0.0440317i | 0.00284619 | − | 0.00164325i | ||||
\(719\) | −6.16037 | + | 10.6701i | −0.229743 | + | 0.397927i | −0.957732 | − | 0.287662i | \(-0.907122\pi\) |
0.727989 | + | 0.685589i | \(0.240455\pi\) | |||||||
\(720\) | 7.70029 | − | 1.53517i | 0.286973 | − | 0.0572123i | ||||
\(721\) | −11.4580 | + | 8.04635i | −0.426719 | + | 0.299662i | ||||
\(722\) | 4.67023i | 0.173808i | ||||||||
\(723\) | 20.9368 | + | 12.0879i | 0.778650 | + | 0.449554i | ||||
\(724\) | −8.71444 | − | 15.0939i | −0.323870 | − | 0.560959i | ||||
\(725\) | −0.470999 | − | 0.360759i | −0.0174925 | − | 0.0133983i | ||||
\(726\) | −0.0131493 | + | 0.0227753i | −0.000488017 | + | 0.000845271i | ||||
\(727\) | − | 17.6540i | − | 0.654751i | −0.944894 | − | 0.327376i | \(-0.893836\pi\) | ||
0.944894 | − | 0.327376i | \(-0.106164\pi\) | |||||||
\(728\) | −5.70678 | + | 12.2820i | −0.211507 | + | 0.455202i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −0.485773 | + | 1.43309i | −0.0179793 | + | 0.0530410i | ||||
\(731\) | −8.12662 | − | 14.0757i | −0.300574 | − | 0.520609i | ||||
\(732\) | −12.1519 | + | 7.01593i | −0.449149 | + | 0.259316i | ||||
\(733\) | 8.69135 | + | 5.01795i | 0.321022 | + | 0.185342i | 0.651848 | − | 0.758349i | \(-0.273994\pi\) |
−0.330826 | + | 0.943692i | \(0.607327\pi\) | |||||||
\(734\) | 6.79541 | 0.250823 | ||||||||
\(735\) | −9.75853 | + | 12.2381i | −0.359949 | + | 0.451409i | ||||
\(736\) | 24.8873 | 0.917357 | ||||||||
\(737\) | 8.75672 | + | 5.05570i | 0.322558 | + | 0.186229i | ||||
\(738\) | 0.0174660 | − | 0.0100840i | 0.000642932 | − | 0.000371197i | ||||
\(739\) | −15.5360 | − | 26.9092i | −0.571502 | − | 0.989870i | −0.996412 | − | 0.0846345i | \(-0.973028\pi\) |
0.424910 | − | 0.905235i | \(-0.360306\pi\) | |||||||
\(740\) | 31.4928 | + | 10.6751i | 1.15770 | + | 0.392423i | ||||
\(741\) | −7.53634 | −0.276854 | ||||||||
\(742\) | 0.236987 | − | 0.510038i | 0.00870005 | − | 0.0187241i | ||||
\(743\) | 4.04189i | 0.148283i | 0.997248 | + | 0.0741413i | \(0.0236216\pi\) | ||||
−0.997248 | + | 0.0741413i | \(0.976378\pi\) | |||||||
\(744\) | 3.52331 | − | 6.10255i | 0.129171 | − | 0.223730i | ||||
\(745\) | −16.7717 | − | 19.1076i | −0.614466 | − | 0.700049i | ||||
\(746\) | −2.70638 | − | 4.68759i | −0.0990876 | − | 0.171625i | ||||
\(747\) | −1.06011 | − | 0.612055i | −0.0387874 | − | 0.0223939i | ||||
\(748\) | − | 35.4256i | − | 1.29529i | ||||||
\(749\) | 11.1761 | − | 7.84839i | 0.408367 | − | 0.286774i | ||||
\(750\) | −2.66877 | + | 1.78826i | −0.0974498 | + | 0.0652981i | ||||
\(751\) | −7.34725 | + | 12.7258i | −0.268105 | + | 0.464371i | −0.968372 | − | 0.249509i | \(-0.919731\pi\) |
0.700268 | + | 0.713881i | \(0.253064\pi\) | |||||||
\(752\) | −19.4193 | + | 11.2117i | −0.708149 | + | 0.408850i | ||||
\(753\) | 5.19789 | − | 3.00100i | 0.189421 | − | 0.109363i | ||||
\(754\) | −0.0775229 | + | 0.134274i | −0.00282322 | + | 0.00488996i | ||||
\(755\) | −19.6054 | + | 3.90862i | −0.713512 | + | 0.142249i | ||||
\(756\) | −0.449051 | − | 5.05315i | −0.0163318 | − | 0.183781i | ||||
\(757\) | − | 29.6087i | − | 1.07615i | −0.842898 | − | 0.538073i | \(-0.819153\pi\) | ||
0.842898 | − | 0.538073i | \(-0.180847\pi\) | |||||||
\(758\) | −3.54681 | − | 2.04775i | −0.128826 | − | 0.0743778i | ||||
\(759\) | −12.7115 | − | 22.0170i | −0.461400 | − | 0.799168i | ||||
\(760\) | 3.13487 | − | 2.75163i | 0.113714 | − | 0.0998120i | ||||
\(761\) | 7.12611 | − | 12.3428i | 0.258321 | − | 0.447426i | −0.707471 | − | 0.706742i | \(-0.750164\pi\) |
0.965792 | + | 0.259317i | \(0.0834974\pi\) | |||||||
\(762\) | 4.75470i | 0.172245i | ||||||||
\(763\) | −8.54088 | + | 0.758990i | −0.309200 | + | 0.0274773i | ||||
\(764\) | 39.2992 | 1.42179 | ||||||||
\(765\) | −11.7481 | − | 3.98224i | −0.424753 | − | 0.143978i | ||||
\(766\) | 3.59980 | + | 6.23504i | 0.130066 | + | 0.225281i | ||||
\(767\) | 6.41981 | − | 3.70648i | 0.231806 | − | 0.133833i | ||||
\(768\) | −8.48376 | − | 4.89810i | −0.306131 | − | 0.176745i | ||||
\(769\) | 20.6367 | 0.744178 | 0.372089 | − | 0.928197i | \(-0.378642\pi\) | ||||
0.372089 | + | 0.928197i | \(0.378642\pi\) | |||||||
\(770\) | −3.90752 | + | 4.09660i | −0.140817 | + | 0.147631i | ||||
\(771\) | −7.33395 | −0.264126 | ||||||||
\(772\) | 14.1860 | + | 8.19030i | 0.510566 | + | 0.294775i | ||||
\(773\) | 36.8580 | − | 21.2800i | 1.32569 | − | 0.765387i | 0.341059 | − | 0.940042i | \(-0.389214\pi\) |
0.984630 | + | 0.174655i | \(0.0558811\pi\) | |||||||
\(774\) | −0.420920 | − | 0.729054i | −0.0151296 | − | 0.0262053i | ||||
\(775\) | 4.05858 | − | 31.0368i | 0.145789 | − | 1.11487i | ||||
\(776\) | −3.42533 | −0.122962 | ||||||||
\(777\) | 8.64659 | − | 18.6090i | 0.310195 | − | 0.667594i | ||||
\(778\) | − | 3.87093i | − | 0.138780i | ||||||
\(779\) | −0.0581603 | + | 0.100737i | −0.00208381 | + | 0.00360926i | ||||
\(780\) | −12.8621 | − | 14.6535i | −0.460537 | − | 0.524681i | ||||
\(781\) | −6.27860 | − | 10.8748i | −0.224666 | − | 0.389133i | ||||
\(782\) | −10.5379 | − | 6.08405i | −0.376834 | − | 0.217565i | ||||
\(783\) | − | 0.118657i | − | 0.00424046i | ||||||
\(784\) | 24.1949 | − | 4.33442i | 0.864105 | − | 0.154801i | ||||
\(785\) | 1.46298 | + | 7.33819i | 0.0522159 | + | 0.261911i | ||||
\(786\) | 0.761132 | − | 1.31832i | 0.0271487 | − | 0.0470229i | ||||
\(787\) | −21.8231 | + | 12.5996i | −0.777909 | + | 0.449126i | −0.835689 | − | 0.549203i | \(-0.814931\pi\) |
0.0577798 | + | 0.998329i | \(0.481598\pi\) | |||||||
\(788\) | 22.9298 | − | 13.2385i | 0.816842 | − | 0.471604i | ||||
\(789\) | −4.74386 | + | 8.21661i | −0.168886 | + | 0.292519i | ||||
\(790\) | 1.49995 | + | 7.52363i | 0.0533657 | + | 0.267679i | ||||
\(791\) | 30.3782 | + | 14.1151i | 1.08012 | + | 0.501874i | ||||
\(792\) | − | 3.74876i | − | 0.133206i | ||||||
\(793\) | 28.8205 | + | 16.6395i | 1.02344 | + | 0.590886i | ||||
\(794\) | −2.65044 | − | 4.59069i | −0.0940605 | − | 0.162918i | ||||
\(795\) | 1.09125 | + | 1.24324i | 0.0387027 | + | 0.0440933i | ||||
\(796\) | 3.63449 | − | 6.29512i | 0.128821 | − | 0.223125i | ||||
\(797\) | 51.7211i | 1.83205i | 0.401116 | + | 0.916027i | \(0.368623\pi\) | ||||
−0.401116 | + | 0.916027i | \(0.631377\pi\) | |||||||
\(798\) | −0.724036 | − | 1.03103i | −0.0256306 | − | 0.0364980i | ||||
\(799\) | 35.4256 | 1.25327 | ||||||||
\(800\) | 16.1634 | + | 2.11364i | 0.571463 | + | 0.0747284i | ||||
\(801\) | 6.50007 | + | 11.2585i | 0.229669 | + | 0.397798i | ||||
\(802\) | −6.32515 | + | 3.65182i | −0.223349 | + | 0.128950i | ||||
\(803\) | −6.79271 | − | 3.92177i | −0.239709 | − | 0.138396i | ||||
\(804\) | −5.82152 | −0.205309 | ||||||||
\(805\) | −12.7155 | − | 43.3343i | −0.448164 | − | 1.52733i | ||||
\(806\) | −8.18003 | −0.288129 | ||||||||
\(807\) | 13.8984 | + | 8.02423i | 0.489246 | + | 0.282466i | ||||
\(808\) | −15.6357 | + | 9.02728i | −0.550062 | + | 0.317579i | ||||
\(809\) | −25.8890 | − | 44.8410i | −0.910207 | − | 1.57653i | −0.813770 | − | 0.581187i | \(-0.802589\pi\) |
−0.0964371 | − | 0.995339i | \(-0.530745\pi\) | |||||||
\(810\) | −0.608495 | − | 0.206261i | −0.0213803 | − | 0.00724726i | ||||
\(811\) | 12.0263 | 0.422299 | 0.211149 | − | 0.977454i | \(-0.432279\pi\) | ||||
0.211149 | + | 0.977454i | \(0.432279\pi\) | |||||||
\(812\) | 0.599592 | − | 0.0532831i | 0.0210416 | − | 0.00186987i | ||||
\(813\) | 24.1690i | 0.847643i | ||||||||
\(814\) | 3.71089 | − | 6.42744i | 0.130067 | − | 0.225282i | ||||
\(815\) | 26.4781 | − | 23.2411i | 0.927487 | − | 0.814099i | ||||
\(816\) | 9.73994 | + | 16.8701i | 0.340966 | + | 0.590571i | ||||
\(817\) | 4.20488 | + | 2.42769i | 0.147110 | + | 0.0849341i | ||||
\(818\) | − | 5.38212i | − | 0.188182i | ||||||
\(819\) | −9.84632 | + | 6.91454i | −0.344058 | + | 0.241613i | ||||
\(820\) | −0.295132 | + | 0.0588389i | −0.0103064 | + | 0.00205474i | ||||
\(821\) | −4.03967 | + | 6.99692i | −0.140985 | + | 0.244194i | −0.927868 | − | 0.372909i | \(-0.878360\pi\) |
0.786882 | + | 0.617103i | \(0.211694\pi\) | |||||||
\(822\) | 3.70029 | − | 2.13636i | 0.129062 | − | 0.0745142i | ||||
\(823\) | 4.42994 | − | 2.55762i | 0.154418 | − | 0.0891532i | −0.420800 | − | 0.907153i | \(-0.638251\pi\) |
0.575218 | + | 0.818000i | \(0.304917\pi\) | |||||||
\(824\) | 2.97834 | − | 5.15864i | 0.103755 | − | 0.179710i | ||||
\(825\) | −6.38582 | − | 15.3789i | −0.222326 | − | 0.535423i | ||||
\(826\) | 1.12384 | + | 0.522188i | 0.0391035 | + | 0.0181693i | ||||
\(827\) | 0.705254i | 0.0245241i | 0.999925 | + | 0.0122620i | \(0.00390323\pi\) | ||||
−0.999925 | + | 0.0122620i | \(0.996097\pi\) | |||||||
\(828\) | 12.6761 | + | 7.31853i | 0.440524 | + | 0.254337i | ||||
\(829\) | 12.4790 | + | 21.6143i | 0.433415 | + | 0.750696i | 0.997165 | − | 0.0752491i | \(-0.0239752\pi\) |
−0.563750 | + | 0.825945i | \(0.690642\pi\) | |||||||
\(830\) | −0.518828 | − | 0.591091i | −0.0180088 | − | 0.0205171i | ||||
\(831\) | 11.6088 | − | 20.1071i | 0.402706 | − | 0.697508i | ||||
\(832\) | 27.6769i | 0.959523i | ||||||||
\(833\) | −36.5270 | − | 13.1818i | −1.26559 | − | 0.456723i | ||||
\(834\) | 2.73453 | 0.0946891 | ||||||||
\(835\) | −47.8479 | − | 16.2190i | −1.65585 | − | 0.561280i | ||||
\(836\) | 5.29140 | + | 9.16498i | 0.183007 | + | 0.316977i | ||||
\(837\) | 5.42150 | − | 3.13010i | 0.187394 | − | 0.108192i | ||||
\(838\) | −0.509487 | − | 0.294152i | −0.0175999 | − | 0.0101613i | ||||
\(839\) | 11.6389 | 0.401819 | 0.200909 | − | 0.979610i | \(-0.435610\pi\) | ||||
0.200909 | + | 0.979610i | \(0.435610\pi\) | |||||||
\(840\) | 1.57116 | − | 6.47126i | 0.0542100 | − | 0.223280i | ||||
\(841\) | −28.9859 | −0.999514 | ||||||||
\(842\) | −3.99418 | − | 2.30604i | −0.137649 | − | 0.0794714i | ||||
\(843\) | 10.7796 | − | 6.22360i | 0.371269 | − | 0.214352i | ||||
\(844\) | 0.109693 | + | 0.189994i | 0.00377579 | + | 0.00653986i | ||||
\(845\) | −5.51309 | + | 16.2643i | −0.189656 | + | 0.559509i | ||||
\(846\) | 1.83488 | 0.0630843 | ||||||||
\(847\) | −0.139165 | − | 0.198172i | −0.00478177 | − | 0.00680926i | ||||
\(848\) | − | 2.59775i | − | 0.0892071i | ||||||
\(849\) | 4.33388 | − | 7.50649i | 0.148738 | − | 0.257622i | ||||
\(850\) | −6.32728 | − | 4.84634i | −0.217024 | − | 0.166228i | ||||
\(851\) | 29.6023 | + | 51.2726i | 1.01475 | + | 1.75760i | ||||
\(852\) | 6.26107 | + | 3.61483i | 0.214501 | + | 0.123842i | ||||
\(853\) | 32.5996i | 1.11619i | 0.829778 | + | 0.558094i | \(0.188467\pi\) | ||||
−0.829778 | + | 0.558094i | \(0.811533\pi\) | |||||||
\(854\) | 0.492445 | + | 5.54146i | 0.0168511 | + | 0.189625i | ||||
\(855\) | 3.63417 | − | 0.724526i | 0.124286 | − | 0.0247783i | ||||
\(856\) | −2.90507 | + | 5.03172i | −0.0992931 | + | 0.171981i | ||||
\(857\) | −27.4455 | + | 15.8456i | −0.937519 | + | 0.541277i | −0.889182 | − | 0.457554i | \(-0.848726\pi\) |
−0.0483371 | + | 0.998831i | \(0.515392\pi\) | |||||||
\(858\) | −3.76871 | + | 2.17587i | −0.128662 | + | 0.0742828i | ||||
\(859\) | −21.8456 | + | 37.8377i | −0.745363 | + | 1.29101i | 0.204662 | + | 0.978833i | \(0.434390\pi\) |
−0.950025 | + | 0.312174i | \(0.898943\pi\) | |||||||
\(860\) | 2.45601 | + | 12.3192i | 0.0837494 | + | 0.420081i | ||||
\(861\) | 0.0164380 | + | 0.184975i | 0.000560204 | + | 0.00630394i | ||||
\(862\) | − | 10.5201i | − | 0.358317i | ||||||
\(863\) | −33.6005 | − | 19.3992i | −1.14377 | − | 0.660358i | −0.196411 | − | 0.980522i | \(-0.562929\pi\) |
−0.947362 | + | 0.320164i | \(0.896262\pi\) | |||||||
\(864\) | 1.63010 | + | 2.82342i | 0.0554572 | + | 0.0960547i | ||||
\(865\) | 14.3285 | − | 12.5768i | 0.487183 | − | 0.427623i | ||||
\(866\) | −2.58670 | + | 4.48030i | −0.0878997 | + | 0.152247i | ||||
\(867\) | − | 13.7752i | − | 0.467830i | ||||||
\(868\) | 18.2514 | + | 25.9901i | 0.619493 | + | 0.882160i | ||||
\(869\) | −39.7660 | −1.34897 | ||||||||
\(870\) | 0.0244743 | − | 0.0722022i | 0.000829757 | − | 0.00244788i | ||||
\(871\) | 6.90338 | + | 11.9570i | 0.233912 | + | 0.405148i | ||||
\(872\) | 3.15925 | − | 1.82399i | 0.106986 | − | 0.0617682i | ||||
\(873\) | −2.63537 | − | 1.52153i | −0.0891936 | − | 0.0514960i | ||||
\(874\) | 3.63501 | 0.122956 | ||||||||
\(875\) | −4.57798 | − | 29.2240i | −0.154764 | − | 0.987951i | ||||
\(876\) | 4.51583 | 0.152576 | ||||||||
\(877\) | −3.72454 | − | 2.15036i | −0.125769 | − | 0.0726127i | 0.435796 | − | 0.900046i | \(-0.356467\pi\) |
−0.561565 | + | 0.827433i | \(0.689800\pi\) | |||||||
\(878\) | −4.82118 | + | 2.78351i | −0.162707 | + | 0.0939390i | ||||
\(879\) | 13.5031 | + | 23.3881i | 0.455450 | + | 0.788862i | ||||
\(880\) | −8.39476 | + | 24.7656i | −0.282987 | + | 0.834848i | ||||
\(881\) | −1.29308 | −0.0435650 | −0.0217825 | − | 0.999763i | \(-0.506934\pi\) | ||||
−0.0217825 | + | 0.999763i | \(0.506934\pi\) | |||||||
\(882\) | −1.89192 | − | 0.682755i | −0.0637044 | − | 0.0229896i | ||||
\(883\) | − | 1.49533i | − | 0.0503218i | −0.999683 | − | 0.0251609i | \(-0.991990\pi\) | ||
0.999683 | − | 0.0251609i | \(-0.00800981\pi\) | |||||||
\(884\) | 24.1862 | − | 41.8918i | 0.813471 | − | 1.40897i | ||||
\(885\) | −2.73942 | + | 2.40452i | −0.0920847 | + | 0.0808271i | ||||
\(886\) | −2.36225 | − | 4.09153i | −0.0793613 | − | 0.137458i | ||||
\(887\) | −8.73964 | − | 5.04584i | −0.293449 | − | 0.169423i | 0.346047 | − | 0.938217i | \(-0.387524\pi\) |
−0.639496 | + | 0.768794i | \(0.720857\pi\) | |||||||
\(888\) | 8.73000i | 0.292960i | ||||||||
\(889\) | −39.7040 | − | 18.4483i | −1.33163 | − | 0.618736i | ||||
\(890\) | 1.63308 | + | 8.19142i | 0.0547410 | + | 0.274577i | ||||
\(891\) | 1.66520 | − | 2.88421i | 0.0557862 | − | 0.0966245i | ||||
\(892\) | −13.0631 | + | 7.54198i | −0.437385 | + | 0.252524i | ||||
\(893\) | −9.16498 | + | 5.29140i | −0.306694 | + | 0.177070i | ||||
\(894\) | 1.63351 | − | 2.82932i | 0.0546328 | − | 0.0946267i | ||||
\(895\) | −25.8339 | + | 5.15036i | −0.863531 | + | 0.172158i | ||||
\(896\) | −17.9044 | + | 12.5733i | −0.598143 | + | 0.420044i | ||||
\(897\) | − | 34.7144i | − | 1.15908i | ||||||
\(898\) | 8.14317 | + | 4.70146i | 0.271741 | + | 0.156890i | ||||
\(899\) | 0.371409 | + | 0.643299i | 0.0123872 | + | 0.0214552i | ||||
\(900\) | 7.61111 | + | 5.82969i | 0.253704 | + | 0.194323i | ||||
\(901\) | −2.05202 | + | 3.55421i | −0.0683628 | + | 0.118408i | ||||
\(902\) | 0.0671674i | 0.00223643i | ||||||||
\(903\) | 7.72112 | − | 0.686142i | 0.256943 | − | 0.0228334i | ||||
\(904\) | −14.2512 | −0.473989 | ||||||||
\(905\) | 6.52492 | − | 19.2493i | 0.216896 | − | 0.639869i | ||||
\(906\) | −1.28444 | − | 2.22471i | −0.0426726 | − | 0.0739111i | ||||
\(907\) | 3.69531 | − | 2.13349i | 0.122701 | − | 0.0708414i | −0.437393 | − | 0.899270i | \(-0.644098\pi\) |
0.560094 | + | 0.828429i | \(0.310765\pi\) | |||||||
\(908\) | −14.9095 | − | 8.60802i | −0.494790 | − | 0.285667i | ||||
\(909\) | −16.0397 | −0.532002 | ||||||||
\(910\) | −7.41763 | + | 2.17655i | −0.245892 | + | 0.0721519i | ||||
\(911\) | −28.5451 | −0.945742 | −0.472871 | − | 0.881132i | \(-0.656782\pi\) | ||||
−0.472871 | + | 0.881132i | \(0.656782\pi\) | |||||||
\(912\) | −5.03965 | − | 2.90964i | −0.166879 | − | 0.0963479i | ||||
\(913\) | 3.53058 | − | 2.03838i | 0.116845 | − | 0.0674606i | ||||
\(914\) | 5.37754 | + | 9.31417i | 0.177873 | + | 0.308085i | ||||
\(915\) | −15.4975 | − | 5.25316i | −0.512331 | − | 0.173664i | ||||
\(916\) | 9.75231 | 0.322226 | ||||||||
\(917\) | 8.05539 | + | 11.4709i | 0.266012 | + | 0.378802i | ||||
\(918\) | − | 1.59401i | − | 0.0526101i | ||||||
\(919\) | −23.2822 | + | 40.3259i | −0.768008 | + | 1.33023i | 0.170634 | + | 0.985335i | \(0.445419\pi\) |
−0.938642 | + | 0.344894i | \(0.887915\pi\) | |||||||
\(920\) | 12.6747 | + | 14.4401i | 0.417873 | + | 0.476075i | ||||
\(921\) | 1.12341 | + | 1.94580i | 0.0370175 | + | 0.0641161i | ||||
\(922\) | 7.05720 | + | 4.07448i | 0.232417 | + | 0.134186i | ||||
\(923\) | − | 17.1464i | − | 0.564381i | ||||||
\(924\) | 15.3221 | + | 7.11934i | 0.504060 | + | 0.234209i | ||||
\(925\) | 14.8711 | + | 35.8138i | 0.488959 | + | 1.17755i | ||||
\(926\) | −1.03561 | + | 1.79372i | −0.0340321 | + | 0.0589453i | ||||
\(927\) | 4.58293 | − | 2.64596i | 0.150523 | − | 0.0869046i | ||||
\(928\) | −0.335019 | + | 0.193423i | −0.0109975 | + | 0.00634943i | ||||
\(929\) | 3.69774 | − | 6.40467i | 0.121319 | − | 0.210130i | −0.798969 | − | 0.601372i | \(-0.794621\pi\) |
0.920288 | + | 0.391242i | \(0.127954\pi\) | |||||||
\(930\) | 3.94457 | − | 0.786409i | 0.129348 | − | 0.0257874i | ||||
\(931\) | 11.4188 | − | 2.04564i | 0.374238 | − | 0.0670432i | ||||
\(932\) | − | 41.8352i | − | 1.37036i | ||||||
\(933\) | −24.7672 | − | 14.2994i | −0.810843 | − | 0.468140i | ||||
\(934\) | −1.73537 | − | 3.00574i | −0.0567829 | − | 0.0983509i | ||||
\(935\) | 31.0485 | − | 27.2527i | 1.01539 | − | 0.891259i | ||||
\(936\) | 2.55940 | − | 4.43301i | 0.0836567 | − | 0.144898i | ||||
\(937\) | 44.1988i | 1.44391i | 0.691939 | + | 0.721956i | \(0.256757\pi\) | ||||
−0.691939 | + | 0.721956i | \(0.743243\pi\) | |||||||
\(938\) | −0.972585 | + | 2.09318i | −0.0317560 | + | 0.0683447i | ||||
\(939\) | −13.3285 | −0.434960 | ||||||||
\(940\) | −25.9302 | − | 8.78952i | −0.845749 | − | 0.286683i | ||||
\(941\) | −18.0180 | − | 31.2080i | −0.587369 | − | 1.01735i | −0.994576 | − | 0.104017i | \(-0.966830\pi\) |
0.407206 | − | 0.913336i | \(-0.366503\pi\) | |||||||
\(942\) | −0.832699 | + | 0.480759i | −0.0271308 | + | 0.0156640i | ||||
\(943\) | −0.464020 | − | 0.267902i | −0.0151106 | − | 0.00872408i | ||||
\(944\) | 5.72401 | 0.186301 | ||||||||
\(945\) | 4.08334 | − | 4.28093i | 0.132831 | − | 0.139259i | ||||
\(946\) | 2.80366 | 0.0911548 | ||||||||
\(947\) | 29.6476 | + | 17.1170i | 0.963417 | + | 0.556229i | 0.897223 | − | 0.441577i | \(-0.145581\pi\) |
0.0661943 | + | 0.997807i | \(0.478914\pi\) | |||||||
\(948\) | 19.8275 | − | 11.4474i | 0.643968 | − | 0.371795i | ||||
\(949\) | −5.35504 | − | 9.27521i | −0.173832 | − | 0.301086i | ||||
\(950\) | 2.36081 | + | 0.308716i | 0.0765949 | + | 0.0100161i | ||||
\(951\) | −29.1925 | −0.946633 | ||||||||
\(952\) | 16.4563 | − | 1.46240i | 0.533353 | − | 0.0473967i | ||||
\(953\) | − | 30.9689i | − | 1.00318i | −0.865105 | − | 0.501591i | \(-0.832748\pi\) | ||
0.865105 | − | 0.501591i | \(-0.167252\pi\) | |||||||
\(954\) | −0.106285 | + | 0.184091i | −0.00344110 | + | 0.00596016i | ||||
\(955\) | 30.2326 | + | 34.4434i | 0.978305 | + | 1.11456i | ||||
\(956\) | 7.14155 | + | 12.3695i | 0.230974 | + | 0.400059i | ||||
\(957\) | 0.342231 | + | 0.197587i | 0.0110628 | + | 0.00638709i | ||||
\(958\) | 5.78743i | 0.186983i | ||||||||
\(959\) | 3.48249 | + | 39.1883i | 0.112455 | + | 1.26545i | ||||
\(960\) | −2.66079 | − | 13.3463i | −0.0858766 | − | 0.430751i | ||||
\(961\) | −4.09508 | + | 7.09289i | −0.132099 | + | 0.228803i | ||||
\(962\) | 8.77646 | − | 5.06709i | 0.282964 | − | 0.163370i | ||||
\(963\) | −4.47018 | + | 2.58086i | −0.144049 | + | 0.0831670i | ||||
\(964\) | 23.1778 | − | 40.1451i | 0.746506 | − | 1.29299i | ||||
\(965\) | 3.73490 | + | 18.7340i | 0.120231 | + | 0.603068i | ||||
\(966\) | 4.74919 | − | 3.33510i | 0.152803 | − | 0.107305i | ||||
\(967\) | 21.0270i | 0.676184i | 0.941113 | + | 0.338092i | \(0.109782\pi\) | ||||
−0.941113 | + | 0.338092i | \(0.890218\pi\) | |||||||
\(968\) | 0.0892209 | + | 0.0515117i | 0.00286767 | + | 0.00165565i | ||||
\(969\) | 4.59678 | + | 7.96187i | 0.147670 | + | 0.255772i | ||||
\(970\) | −1.28977 | − | 1.46942i | −0.0414122 | − | 0.0471801i | ||||
\(971\) | −22.3468 | + | 38.7058i | −0.717144 | + | 1.24213i | 0.244983 | + | 0.969527i | \(0.421218\pi\) |
−0.962127 | + | 0.272602i | \(0.912116\pi\) | |||||||
\(972\) | 1.91744i | 0.0615019i | ||||||||
\(973\) | −10.6100 | + | 22.8346i | −0.340141 | + | 0.732045i | ||||
\(974\) | −11.4761 | −0.367718 | ||||||||
\(975\) | 2.94824 | − | 22.5458i | 0.0944192 | − | 0.722042i | ||||
\(976\) | 12.8484 | + | 22.2541i | 0.411268 | + | 0.712337i | ||||
\(977\) | −12.5029 | + | 7.21858i | −0.400005 | + | 0.230943i | −0.686486 | − | 0.727143i | \(-0.740848\pi\) |
0.286481 | + | 0.958086i | \(0.407514\pi\) | |||||||
\(978\) | 3.92069 | + | 2.26361i | 0.125370 | + | 0.0723824i | ||||
\(979\) | −43.2956 | −1.38373 | ||||||||
\(980\) | 23.4658 | + | 18.7114i | 0.749587 | + | 0.597713i | ||||
\(981\) | 3.24087 | 0.103473 | ||||||||
\(982\) | −7.86307 | − | 4.53974i | −0.250921 | − | 0.144869i | ||||
\(983\) | 14.5389 | − | 8.39401i | 0.463717 | − | 0.267727i | −0.249889 | − | 0.968275i | \(-0.580394\pi\) |
0.713606 | + | 0.700547i | \(0.247061\pi\) | |||||||
\(984\) | −0.0395034 | − | 0.0684220i | −0.00125932 | − | 0.00218121i | ||||
\(985\) | 29.2426 | + | 9.91233i | 0.931747 | + | 0.315833i | ||||
\(986\) | 0.189140 | 0.00602345 | ||||||||
\(987\) | −7.11934 | + | 15.3221i | −0.226611 | + | 0.487707i | ||||
\(988\) | 14.4505i | 0.459730i | ||||||||
\(989\) | −11.1826 | + | 19.3688i | −0.355585 | + | 0.615892i | ||||
\(990\) | 1.60816 | − | 1.41156i | 0.0511108 | − | 0.0448623i | ||||
\(991\) | −20.0539 | − | 34.7344i | −0.637033 | − | 1.10337i | −0.986081 | − | 0.166268i | \(-0.946828\pi\) |
0.349048 | − | 0.937105i | \(-0.386505\pi\) | |||||||
\(992\) | −17.6752 | − | 10.2048i | −0.561188 | − | 0.324002i | ||||
\(993\) | − | 24.8915i | − | 0.789907i | ||||||
\(994\) | 2.34576 | − | 1.64730i | 0.0744031 | − | 0.0522492i | ||||
\(995\) | 8.31330 | − | 1.65738i | 0.263549 | − | 0.0525425i | ||||
\(996\) | −1.17358 | + | 2.03270i | −0.0371862 | + | 0.0644084i | ||||
\(997\) | 44.4447 | − | 25.6602i | 1.40758 | − | 0.812666i | 0.412424 | − | 0.910992i | \(-0.364682\pi\) |
0.995154 | + | 0.0983259i | \(0.0313488\pi\) | |||||||
\(998\) | 9.90032 | − | 5.71595i | 0.313389 | − | 0.180935i | ||||
\(999\) | −3.87786 | + | 6.71665i | −0.122690 | + | 0.212505i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))