Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(165,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.h (of order \(3\), degree \(2\), not 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 7x^{10} - 2x^{9} + 33x^{8} - 11x^{7} + 55x^{6} + 17x^{5} + 47x^{4} + x^{3} + 8x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 165.2 | ||
Root | \(1.16700 - 2.02131i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.165 |
Dual form | 637.2.h.l.471.2 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90556 | −1.34743 | −0.673717 | − | 0.738989i | \(-0.735303\pi\) | ||||
−0.673717 | + | 0.738989i | \(0.735303\pi\) | |||||||
\(3\) | 0.214224 | + | 0.371047i | 0.123682 | + | 0.214224i | 0.921217 | − | 0.389049i | \(-0.127196\pi\) |
−0.797535 | + | 0.603273i | \(0.793863\pi\) | |||||||
\(4\) | 1.63116 | 0.815580 | ||||||||
\(5\) | −0.736565 | − | 1.27577i | −0.329402 | − | 0.570541i | 0.652991 | − | 0.757365i | \(-0.273514\pi\) |
−0.982393 | + | 0.186825i | \(0.940180\pi\) | |||||||
\(6\) | −0.408216 | − | 0.707051i | −0.166654 | − | 0.288653i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0.702849 | 0.248495 | ||||||||
\(9\) | 1.40822 | − | 2.43910i | 0.469405 | − | 0.813034i | ||||
\(10\) | 1.40357 | + | 2.43105i | 0.443847 | + | 0.768766i | ||||
\(11\) | 2.19681 | + | 3.80498i | 0.662362 | + | 1.14725i | 0.979993 | + | 0.199031i | \(0.0637794\pi\) |
−0.317631 | + | 0.948214i | \(0.602887\pi\) | |||||||
\(12\) | 0.349433 | + | 0.605236i | 0.100873 | + | 0.174717i | ||||
\(13\) | −2.69752 | + | 2.39236i | −0.748158 | + | 0.663520i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.315580 | − | 0.546600i | 0.0814823 | − | 0.141131i | ||||
\(16\) | −4.60164 | −1.15041 | ||||||||
\(17\) | 1.20271 | 0.291700 | 0.145850 | − | 0.989307i | \(-0.453408\pi\) | ||||
0.145850 | + | 0.989307i | \(0.453408\pi\) | |||||||
\(18\) | −2.68344 | + | 4.64786i | −0.632493 | + | 1.09551i | ||||
\(19\) | 1.62105 | − | 2.80773i | 0.371893 | − | 0.644138i | −0.617963 | − | 0.786207i | \(-0.712042\pi\) |
0.989857 | + | 0.142068i | \(0.0453753\pi\) | |||||||
\(20\) | −1.20145 | − | 2.08098i | −0.268653 | − | 0.465321i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.18615 | − | 7.25062i | −0.892490 | − | 1.54584i | ||||
\(23\) | −4.43710 | −0.925200 | −0.462600 | − | 0.886567i | \(-0.653083\pi\) | ||||
−0.462600 | + | 0.886567i | \(0.653083\pi\) | |||||||
\(24\) | 0.150567 | + | 0.260790i | 0.0307343 | + | 0.0532334i | ||||
\(25\) | 1.41494 | − | 2.45075i | 0.282989 | − | 0.490151i | ||||
\(26\) | 5.14029 | − | 4.55878i | 1.00809 | − | 0.894050i | ||||
\(27\) | 2.49204 | 0.479593 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0837807 | + | 0.145112i | −0.0155577 | + | 0.0269467i | −0.873699 | − | 0.486466i | \(-0.838286\pi\) |
0.858142 | + | 0.513413i | \(0.171619\pi\) | |||||||
\(30\) | −0.601356 | + | 1.04158i | −0.109792 | + | 0.190165i | ||||
\(31\) | 2.62272 | − | 4.54268i | 0.471054 | − | 0.815889i | −0.528398 | − | 0.848997i | \(-0.677207\pi\) |
0.999452 | + | 0.0331076i | \(0.0105404\pi\) | |||||||
\(32\) | 7.36300 | 1.30161 | ||||||||
\(33\) | −0.941217 | + | 1.63024i | −0.163845 | + | 0.283788i | ||||
\(34\) | −2.29184 | −0.393047 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.29702 | − | 3.97856i | 0.382837 | − | 0.663094i | ||||
\(37\) | 7.05055 | 1.15910 | 0.579552 | − | 0.814936i | \(-0.303228\pi\) | ||||
0.579552 | + | 0.814936i | \(0.303228\pi\) | |||||||
\(38\) | −3.08900 | + | 5.35031i | −0.501102 | + | 0.867934i | ||||
\(39\) | −1.46555 | − | 0.488407i | −0.234676 | − | 0.0782077i | ||||
\(40\) | −0.517694 | − | 0.896672i | −0.0818546 | − | 0.141776i | ||||
\(41\) | 2.58195 | − | 4.47206i | 0.403233 | − | 0.698419i | −0.590881 | − | 0.806758i | \(-0.701220\pi\) |
0.994114 | + | 0.108339i | \(0.0345533\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0113752 | − | 0.0197024i | −0.00173470 | − | 0.00300459i | 0.865157 | − | 0.501502i | \(-0.167219\pi\) |
−0.866891 | + | 0.498497i | \(0.833886\pi\) | |||||||
\(44\) | 3.58334 | + | 6.20653i | 0.540209 | + | 0.935670i | ||||
\(45\) | −4.14897 | −0.618492 | ||||||||
\(46\) | 8.45516 | 1.24665 | ||||||||
\(47\) | 5.84178 | + | 10.1183i | 0.852111 | + | 1.47590i | 0.879300 | + | 0.476269i | \(0.158011\pi\) |
−0.0271891 | + | 0.999630i | \(0.508656\pi\) | |||||||
\(48\) | −0.985780 | − | 1.70742i | −0.142285 | − | 0.246445i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.69626 | + | 4.67006i | −0.381309 | + | 0.660446i | ||||
\(51\) | 0.257649 | + | 0.446262i | 0.0360781 | + | 0.0624892i | ||||
\(52\) | −4.40009 | + | 3.90231i | −0.610183 | + | 0.541154i | ||||
\(53\) | 0.0708929 | − | 0.122790i | 0.00973788 | − | 0.0168665i | −0.861115 | − | 0.508410i | \(-0.830234\pi\) |
0.870853 | + | 0.491543i | \(0.163567\pi\) | |||||||
\(54\) | −4.74873 | −0.646220 | ||||||||
\(55\) | 3.23618 | − | 5.60523i | 0.436367 | − | 0.755809i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.38907 | 0.183986 | ||||||||
\(58\) | 0.159649 | − | 0.276520i | 0.0209630 | − | 0.0363089i | ||||
\(59\) | 5.34354 | 0.695670 | 0.347835 | − | 0.937556i | \(-0.386917\pi\) | ||||
0.347835 | + | 0.937556i | \(0.386917\pi\) | |||||||
\(60\) | 0.514760 | − | 0.891591i | 0.0664553 | − | 0.115104i | ||||
\(61\) | 5.77287 | − | 9.99891i | 0.739141 | − | 1.28023i | −0.213742 | − | 0.976890i | \(-0.568565\pi\) |
0.952883 | − | 0.303339i | \(-0.0981016\pi\) | |||||||
\(62\) | −4.99774 | + | 8.65635i | −0.634714 | + | 1.09936i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.82736 | −0.603420 | ||||||||
\(65\) | 5.03899 | + | 1.67929i | 0.625010 | + | 0.208290i | ||||
\(66\) | 1.79355 | − | 3.10651i | 0.220770 | − | 0.382385i | ||||
\(67\) | −2.06773 | − | 3.58141i | −0.252613 | − | 0.437539i | 0.711631 | − | 0.702553i | \(-0.247957\pi\) |
−0.964245 | + | 0.265014i | \(0.914623\pi\) | |||||||
\(68\) | 1.96181 | 0.237905 | ||||||||
\(69\) | −0.950533 | − | 1.64637i | −0.114431 | − | 0.198200i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.98486 | + | 8.63403i | 0.591594 | + | 1.02467i | 0.994018 | + | 0.109217i | \(0.0348344\pi\) |
−0.402424 | + | 0.915453i | \(0.631832\pi\) | |||||||
\(72\) | 0.989763 | − | 1.71432i | 0.116645 | − | 0.202035i | ||||
\(73\) | 7.62080 | − | 13.1996i | 0.891947 | − | 1.54490i | 0.0544080 | − | 0.998519i | \(-0.482673\pi\) |
0.837539 | − | 0.546378i | \(-0.183994\pi\) | |||||||
\(74\) | −13.4352 | −1.56182 | ||||||||
\(75\) | 1.21246 | 0.140003 | ||||||||
\(76\) | 2.64418 | − | 4.57986i | 0.303309 | − | 0.525346i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.79269 | + | 0.930689i | 0.316210 | + | 0.105380i | ||||
\(79\) | −0.387251 | − | 0.670738i | −0.0435691 | − | 0.0754639i | 0.843418 | − | 0.537257i | \(-0.180540\pi\) |
−0.886988 | + | 0.461793i | \(0.847206\pi\) | |||||||
\(80\) | 3.38941 | + | 5.87062i | 0.378947 | + | 0.656356i | ||||
\(81\) | −3.69080 | − | 6.39265i | −0.410088 | − | 0.710294i | ||||
\(82\) | −4.92006 | + | 8.52179i | −0.543329 | + | 0.941074i | ||||
\(83\) | 16.0186 | 1.75827 | 0.879136 | − | 0.476571i | \(-0.158121\pi\) | ||||
0.879136 | + | 0.476571i | \(0.158121\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.885875 | − | 1.53438i | −0.0960866 | − | 0.166427i | ||||
\(86\) | 0.0216761 | + | 0.0375441i | 0.00233740 | + | 0.00404849i | ||||
\(87\) | −0.0717913 | −0.00769683 | ||||||||
\(88\) | 1.54402 | + | 2.67433i | 0.164593 | + | 0.285084i | ||||
\(89\) | −6.55760 | −0.695104 | −0.347552 | − | 0.937661i | \(-0.612987\pi\) | ||||
−0.347552 | + | 0.937661i | \(0.612987\pi\) | |||||||
\(90\) | 7.90611 | 0.833378 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.23762 | −0.754574 | ||||||||
\(93\) | 2.24739 | 0.233044 | ||||||||
\(94\) | −11.1319 | − | 19.2809i | −1.14816 | − | 1.98868i | ||||
\(95\) | −4.77602 | −0.490010 | ||||||||
\(96\) | 1.57733 | + | 2.73202i | 0.160986 | + | 0.278835i | ||||
\(97\) | 1.74583 | + | 3.02387i | 0.177262 | + | 0.307027i | 0.940942 | − | 0.338568i | \(-0.109943\pi\) |
−0.763680 | + | 0.645595i | \(0.776609\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12.3743 | 1.24367 | ||||||||
\(100\) | 2.30800 | − | 3.99757i | 0.230800 | − | 0.399757i | ||||
\(101\) | 1.28890 | + | 2.23244i | 0.128250 | + | 0.222136i | 0.922999 | − | 0.384803i | \(-0.125731\pi\) |
−0.794749 | + | 0.606939i | \(0.792397\pi\) | |||||||
\(102\) | −0.490966 | − | 0.850379i | −0.0486129 | − | 0.0842000i | ||||
\(103\) | −8.43173 | − | 14.6042i | −0.830803 | − | 1.43899i | −0.897402 | − | 0.441213i | \(-0.854548\pi\) |
0.0665997 | − | 0.997780i | \(-0.478785\pi\) | |||||||
\(104\) | −1.89595 | + | 1.68146i | −0.185913 | + | 0.164881i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.135091 | + | 0.233984i | −0.0131212 | + | 0.0227265i | ||||
\(107\) | 8.68265 | 0.839383 | 0.419692 | − | 0.907667i | \(-0.362138\pi\) | ||||
0.419692 | + | 0.907667i | \(0.362138\pi\) | |||||||
\(108\) | 4.06491 | 0.391146 | ||||||||
\(109\) | 6.02026 | − | 10.4274i | 0.576637 | − | 0.998764i | −0.419225 | − | 0.907882i | \(-0.637698\pi\) |
0.995862 | − | 0.0908816i | \(-0.0289685\pi\) | |||||||
\(110\) | −6.16674 | + | 10.6811i | −0.587976 | + | 1.01840i | ||||
\(111\) | 1.51040 | + | 2.61608i | 0.143360 | + | 0.248307i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.68616 | − | 8.11667i | −0.440837 | − | 0.763552i | 0.556915 | − | 0.830570i | \(-0.311985\pi\) |
−0.997752 | + | 0.0670176i | \(0.978652\pi\) | |||||||
\(114\) | −2.64695 | −0.247910 | ||||||||
\(115\) | 3.26821 | + | 5.66071i | 0.304763 | + | 0.527864i | ||||
\(116\) | −0.136660 | + | 0.236701i | −0.0126885 | + | 0.0219772i | ||||
\(117\) | 2.03651 | + | 9.94849i | 0.188275 | + | 0.919738i | ||||
\(118\) | −10.1824 | −0.937369 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.221805 | − | 0.384177i | 0.0202479 | − | 0.0350704i | ||||
\(121\) | −4.15192 | + | 7.19134i | −0.377448 | + | 0.653758i | ||||
\(122\) | −11.0006 | + | 19.0535i | −0.995944 | + | 1.72503i | ||||
\(123\) | 2.21246 | 0.199491 | ||||||||
\(124\) | 4.27807 | − | 7.40983i | 0.384182 | − | 0.665423i | ||||
\(125\) | −11.5344 | −1.03167 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.94269 | + | 13.7571i | −0.704800 | + | 1.22075i | 0.261964 | + | 0.965078i | \(0.415630\pi\) |
−0.966764 | + | 0.255672i | \(0.917703\pi\) | |||||||
\(128\) | −5.52717 | −0.488537 | ||||||||
\(129\) | 0.00487367 | − | 0.00844145i | 0.000429103 | − | 0.000743228i | ||||
\(130\) | −9.60210 | − | 3.19998i | −0.842160 | − | 0.280657i | ||||
\(131\) | 0.928725 | + | 1.60860i | 0.0811430 | + | 0.140544i | 0.903741 | − | 0.428079i | \(-0.140810\pi\) |
−0.822598 | + | 0.568623i | \(0.807476\pi\) | |||||||
\(132\) | −1.53527 | + | 2.65917i | −0.133628 | + | 0.231451i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.94018 | + | 6.82459i | 0.340380 | + | 0.589555i | ||||
\(135\) | −1.83555 | − | 3.17926i | −0.157979 | − | 0.273627i | ||||
\(136\) | 0.845324 | 0.0724859 | ||||||||
\(137\) | −12.8002 | −1.09360 | −0.546798 | − | 0.837264i | \(-0.684153\pi\) | ||||
−0.546798 | + | 0.837264i | \(0.684153\pi\) | |||||||
\(138\) | 1.81130 | + | 3.13726i | 0.154188 | + | 0.267061i | ||||
\(139\) | −0.169365 | − | 0.293348i | −0.0143653 | − | 0.0248815i | 0.858753 | − | 0.512389i | \(-0.171239\pi\) |
−0.873119 | + | 0.487508i | \(0.837906\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.50290 | + | 4.33514i | −0.210782 | + | 0.365085i | ||||
\(142\) | −9.49894 | − | 16.4527i | −0.797134 | − | 1.38068i | ||||
\(143\) | −15.0288 | − | 5.00848i | −1.25677 | − | 0.418830i | ||||
\(144\) | −6.48010 | + | 11.2239i | −0.540009 | + | 0.935322i | ||||
\(145\) | 0.246840 | 0.0204989 | ||||||||
\(146\) | −14.5219 | + | 25.1526i | −1.20184 | + | 2.08165i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.5006 | 0.945341 | ||||||||
\(149\) | −1.96158 | + | 3.39756i | −0.160699 | + | 0.278339i | −0.935120 | − | 0.354332i | \(-0.884708\pi\) |
0.774421 | + | 0.632671i | \(0.218041\pi\) | |||||||
\(150\) | −2.31041 | −0.188644 | ||||||||
\(151\) | 1.05939 | − | 1.83492i | 0.0862122 | − | 0.149324i | −0.819695 | − | 0.572800i | \(-0.805857\pi\) |
0.905907 | + | 0.423476i | \(0.139190\pi\) | |||||||
\(152\) | 1.13935 | − | 1.97341i | 0.0924135 | − | 0.160065i | ||||
\(153\) | 1.69368 | − | 2.93354i | 0.136926 | − | 0.237162i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.72721 | −0.620664 | ||||||||
\(156\) | −2.39054 | − | 0.796669i | −0.191397 | − | 0.0637846i | ||||
\(157\) | −11.0564 | + | 19.1502i | −0.882397 | + | 1.52836i | −0.0337285 | + | 0.999431i | \(0.510738\pi\) |
−0.848668 | + | 0.528925i | \(0.822595\pi\) | |||||||
\(158\) | 0.737929 | + | 1.27813i | 0.0587065 | + | 0.101683i | ||||
\(159\) | 0.0607478 | 0.00481761 | ||||||||
\(160\) | −5.42333 | − | 9.39348i | −0.428752 | − | 0.742620i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.03303 | + | 12.1816i | 0.552567 | + | 0.957074i | ||||
\(163\) | −1.92607 | + | 3.33605i | −0.150861 | + | 0.261299i | −0.931544 | − | 0.363628i | \(-0.881538\pi\) |
0.780683 | + | 0.624927i | \(0.214871\pi\) | |||||||
\(164\) | 4.21157 | − | 7.29465i | 0.328868 | − | 0.569616i | ||||
\(165\) | 2.77307 | 0.215883 | ||||||||
\(166\) | −30.5244 | −2.36916 | ||||||||
\(167\) | 1.06947 | − | 1.85238i | 0.0827582 | − | 0.143341i | −0.821676 | − | 0.569956i | \(-0.806960\pi\) |
0.904434 | + | 0.426614i | \(0.140294\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.55326 | − | 12.9069i | 0.119482 | − | 0.992836i | ||||
\(170\) | 1.68809 | + | 2.92385i | 0.129470 | + | 0.224249i | ||||
\(171\) | −4.56557 | − | 7.90779i | −0.349138 | − | 0.604724i | ||||
\(172\) | −0.0185547 | − | 0.0321378i | −0.00141479 | − | 0.00245048i | ||||
\(173\) | −8.30664 | + | 14.3875i | −0.631542 | + | 1.09386i | 0.355695 | + | 0.934602i | \(0.384244\pi\) |
−0.987237 | + | 0.159260i | \(0.949089\pi\) | |||||||
\(174\) | 0.136803 | 0.0103710 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.1089 | − | 17.5091i | −0.761988 | − | 1.31980i | ||||
\(177\) | 1.14471 | + | 1.98270i | 0.0860419 | + | 0.149029i | ||||
\(178\) | 12.4959 | 0.936607 | ||||||||
\(179\) | 0.269748 | + | 0.467217i | 0.0201619 | + | 0.0349214i | 0.875930 | − | 0.482438i | \(-0.160248\pi\) |
−0.855768 | + | 0.517359i | \(0.826915\pi\) | |||||||
\(180\) | −6.76763 | −0.504430 | ||||||||
\(181\) | −2.77164 | −0.206014 | −0.103007 | − | 0.994681i | \(-0.532846\pi\) | ||||
−0.103007 | + | 0.994681i | \(0.532846\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.94675 | 0.365674 | ||||||||
\(184\) | −3.11861 | −0.229907 | ||||||||
\(185\) | −5.19319 | − | 8.99486i | −0.381811 | − | 0.661316i | ||||
\(186\) | −4.28254 | −0.314011 | ||||||||
\(187\) | 2.64213 | + | 4.57629i | 0.193211 | + | 0.334652i | ||||
\(188\) | 9.52887 | + | 16.5045i | 0.694964 | + | 1.20371i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.10100 | 0.660256 | ||||||||
\(191\) | 10.1204 | − | 17.5290i | 0.732284 | − | 1.26835i | −0.223621 | − | 0.974676i | \(-0.571788\pi\) |
0.955905 | − | 0.293677i | \(-0.0948790\pi\) | |||||||
\(192\) | −1.03414 | − | 1.79118i | −0.0746323 | − | 0.129267i | ||||
\(193\) | 8.18856 | + | 14.1830i | 0.589425 | + | 1.02091i | 0.994308 | + | 0.106546i | \(0.0339791\pi\) |
−0.404882 | + | 0.914369i | \(0.632688\pi\) | |||||||
\(194\) | −3.32678 | − | 5.76216i | −0.238849 | − | 0.413699i | ||||
\(195\) | 0.456378 | + | 2.22944i | 0.0326819 | + | 0.159654i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.86676 | + | 17.0897i | −0.702977 | + | 1.21759i | 0.264439 | + | 0.964402i | \(0.414813\pi\) |
−0.967417 | + | 0.253190i | \(0.918520\pi\) | |||||||
\(198\) | −23.5800 | −1.67576 | ||||||||
\(199\) | 14.1175 | 1.00076 | 0.500380 | − | 0.865806i | \(-0.333194\pi\) | ||||
0.500380 | + | 0.865806i | \(0.333194\pi\) | |||||||
\(200\) | 0.994491 | − | 1.72251i | 0.0703212 | − | 0.121800i | ||||
\(201\) | 0.885913 | − | 1.53445i | 0.0624875 | − | 0.108232i | ||||
\(202\) | −2.45607 | − | 4.25404i | −0.172809 | − | 0.299313i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.420267 | + | 0.727924i | 0.0294246 | + | 0.0509649i | ||||
\(205\) | −7.60709 | −0.531302 | ||||||||
\(206\) | 16.0672 | + | 27.8291i | 1.11945 | + | 1.93895i | ||||
\(207\) | −6.24840 | + | 10.8225i | −0.434294 | + | 0.752219i | ||||
\(208\) | 12.4130 | − | 11.0088i | 0.860688 | − | 0.763320i | ||||
\(209\) | 14.2445 | 0.985313 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.31317 | − | 4.00652i | 0.159245 | − | 0.275820i | −0.775352 | − | 0.631530i | \(-0.782427\pi\) |
0.934597 | + | 0.355709i | \(0.115761\pi\) | |||||||
\(212\) | 0.115638 | − | 0.200290i | 0.00794202 | − | 0.0137560i | ||||
\(213\) | −2.13575 | + | 3.69923i | −0.146339 | + | 0.253467i | ||||
\(214\) | −16.5453 | −1.13101 | ||||||||
\(215\) | −0.0167571 | + | 0.0290242i | −0.00114283 | + | 0.00197943i | ||||
\(216\) | 1.75152 | 0.119176 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −11.4720 | + | 19.8700i | −0.776980 | + | 1.34577i | ||||
\(219\) | 6.53022 | 0.441272 | ||||||||
\(220\) | 5.27873 | − | 9.14303i | 0.355892 | − | 0.616423i | ||||
\(221\) | −3.24434 | + | 2.87731i | −0.218238 | + | 0.193549i | ||||
\(222\) | −2.87815 | − | 4.98510i | −0.193169 | − | 0.334578i | ||||
\(223\) | −10.6761 | + | 18.4916i | −0.714926 | + | 1.23829i | 0.248061 | + | 0.968744i | \(0.420207\pi\) |
−0.962988 | + | 0.269545i | \(0.913127\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.98509 | − | 6.90239i | −0.265673 | − | 0.460159i | ||||
\(226\) | 8.92976 | + | 15.4668i | 0.593999 | + | 1.02884i | ||||
\(227\) | 10.4490 | 0.693526 | 0.346763 | − | 0.937953i | \(-0.387281\pi\) | ||||
0.346763 | + | 0.937953i | \(0.387281\pi\) | |||||||
\(228\) | 2.26579 | 0.150056 | ||||||||
\(229\) | 7.22901 | + | 12.5210i | 0.477706 | + | 0.827412i | 0.999673 | − | 0.0255538i | \(-0.00813493\pi\) |
−0.521967 | + | 0.852966i | \(0.674802\pi\) | |||||||
\(230\) | −6.22778 | − | 10.7868i | −0.410648 | − | 0.711262i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0588852 | + | 0.101992i | −0.00386600 | + | 0.00669611i | ||||
\(233\) | 4.64413 | + | 8.04388i | 0.304247 | + | 0.526972i | 0.977093 | − | 0.212811i | \(-0.0682617\pi\) |
−0.672846 | + | 0.739783i | \(0.734928\pi\) | |||||||
\(234\) | −3.88068 | − | 18.9574i | −0.253688 | − | 1.23929i | ||||
\(235\) | 8.60570 | − | 14.9055i | 0.561374 | − | 0.972328i | ||||
\(236\) | 8.71616 | 0.567374 | ||||||||
\(237\) | 0.165917 | − | 0.287376i | 0.0107774 | − | 0.0186671i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 19.6332 | 1.26997 | 0.634983 | − | 0.772526i | \(-0.281007\pi\) | ||||
0.634983 | + | 0.772526i | \(0.281007\pi\) | |||||||
\(240\) | −1.45218 | + | 2.51525i | −0.0937380 | + | 0.162359i | ||||
\(241\) | −7.31105 | −0.470946 | −0.235473 | − | 0.971881i | \(-0.575664\pi\) | ||||
−0.235473 | + | 0.971881i | \(0.575664\pi\) | |||||||
\(242\) | 7.91174 | − | 13.7035i | 0.508586 | − | 0.880897i | ||||
\(243\) | 5.31937 | − | 9.21341i | 0.341238 | − | 0.591041i | ||||
\(244\) | 9.41648 | − | 16.3098i | 0.602828 | − | 1.04413i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.21597 | −0.268801 | ||||||||
\(247\) | 2.34429 | + | 11.4520i | 0.149164 | + | 0.728676i | ||||
\(248\) | 1.84337 | − | 3.19282i | 0.117054 | − | 0.202744i | ||||
\(249\) | 3.43157 | + | 5.94365i | 0.217467 | + | 0.376664i | ||||
\(250\) | 21.9796 | 1.39011 | ||||||||
\(251\) | −5.93191 | − | 10.2744i | −0.374419 | − | 0.648512i | 0.615821 | − | 0.787886i | \(-0.288824\pi\) |
−0.990240 | + | 0.139374i | \(0.955491\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.74746 | − | 16.8831i | −0.612817 | − | 1.06143i | ||||
\(254\) | 15.1353 | − | 26.2151i | 0.949672 | − | 1.64488i | ||||
\(255\) | 0.379551 | − | 0.657402i | 0.0237684 | − | 0.0411681i | ||||
\(256\) | 20.1871 | 1.26169 | ||||||||
\(257\) | 15.1722 | 0.946413 | 0.473206 | − | 0.880952i | \(-0.343096\pi\) | ||||
0.473206 | + | 0.880952i | \(0.343096\pi\) | |||||||
\(258\) | −0.00928708 | + | 0.0160857i | −0.000578188 | + | 0.00100145i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 8.21940 | + | 2.73919i | 0.509745 | + | 0.169877i | ||||
\(261\) | 0.235963 | + | 0.408699i | 0.0146057 | + | 0.0252979i | ||||
\(262\) | −1.76974 | − | 3.06528i | −0.109335 | − | 0.189374i | ||||
\(263\) | −8.59820 | − | 14.8925i | −0.530187 | − | 0.918312i | −0.999380 | − | 0.0352156i | \(-0.988788\pi\) |
0.469192 | − | 0.883096i | \(-0.344545\pi\) | |||||||
\(264\) | −0.661533 | + | 1.14581i | −0.0407145 | + | 0.0705196i | ||||
\(265\) | −0.208869 | −0.0128307 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.40479 | − | 2.43317i | −0.0859719 | − | 0.148908i | ||||
\(268\) | −3.37279 | − | 5.84185i | −0.206026 | − | 0.356848i | ||||
\(269\) | −18.9220 | −1.15370 | −0.576849 | − | 0.816851i | \(-0.695718\pi\) | ||||
−0.576849 | + | 0.816851i | \(0.695718\pi\) | |||||||
\(270\) | 3.49774 | + | 6.05827i | 0.212866 | + | 0.368695i | ||||
\(271\) | −32.1334 | −1.95196 | −0.975982 | − | 0.217853i | \(-0.930095\pi\) | ||||
−0.975982 | + | 0.217853i | \(0.930095\pi\) | |||||||
\(272\) | −5.53444 | −0.335575 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 24.3916 | 1.47355 | ||||||||
\(275\) | 12.4334 | 0.749764 | ||||||||
\(276\) | −1.55047 | − | 2.68549i | −0.0933273 | − | 0.161648i | ||||
\(277\) | 18.4054 | 1.10587 | 0.552936 | − | 0.833224i | \(-0.313507\pi\) | ||||
0.552936 | + | 0.833224i | \(0.313507\pi\) | |||||||
\(278\) | 0.322734 | + | 0.558992i | 0.0193563 | + | 0.0335261i | ||||
\(279\) | −7.38671 | − | 12.7942i | −0.442231 | − | 0.765966i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.2252 | −0.848603 | −0.424302 | − | 0.905521i | \(-0.639480\pi\) | ||||
−0.424302 | + | 0.905521i | \(0.639480\pi\) | |||||||
\(282\) | 4.76942 | − | 8.26087i | 0.284015 | − | 0.491928i | ||||
\(283\) | −5.71446 | − | 9.89773i | −0.339689 | − | 0.588359i | 0.644685 | − | 0.764448i | \(-0.276989\pi\) |
−0.984374 | + | 0.176089i | \(0.943655\pi\) | |||||||
\(284\) | 8.13109 | + | 14.0835i | 0.482492 | + | 0.835700i | ||||
\(285\) | −1.02314 | − | 1.77213i | −0.0606055 | − | 0.104972i | ||||
\(286\) | 28.6383 | + | 9.54396i | 1.69342 | + | 0.564346i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 10.3687 | − | 17.9591i | 0.610981 | − | 1.05825i | ||||
\(289\) | −15.5535 | −0.914911 | ||||||||
\(290\) | −0.470368 | −0.0276210 | ||||||||
\(291\) | −0.747997 | + | 1.29557i | −0.0438483 | + | 0.0759476i | ||||
\(292\) | 12.4307 | − | 21.5307i | 0.727453 | − | 1.25999i | ||||
\(293\) | −6.60231 | − | 11.4355i | −0.385711 | − | 0.668071i | 0.606156 | − | 0.795345i | \(-0.292711\pi\) |
−0.991868 | + | 0.127274i | \(0.959377\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.93586 | − | 6.81712i | −0.229155 | − | 0.396908i | ||||
\(296\) | 4.95547 | 0.288031 | ||||||||
\(297\) | 5.47452 | + | 9.48215i | 0.317664 | + | 0.550210i | ||||
\(298\) | 3.73791 | − | 6.47425i | 0.216531 | − | 0.375043i | ||||
\(299\) | 11.9692 | − | 10.6151i | 0.692196 | − | 0.613889i | ||||
\(300\) | 1.97771 | 0.114183 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.01874 | + | 3.49656i | −0.116165 | + | 0.201204i | ||||
\(303\) | −0.552225 | + | 0.956482i | −0.0317245 | + | 0.0549484i | ||||
\(304\) | −7.45947 | + | 12.9202i | −0.427830 | + | 0.741023i | ||||
\(305\) | −17.0084 | −0.973898 | ||||||||
\(306\) | −3.22740 | + | 5.59003i | −0.184498 | + | 0.319561i | ||||
\(307\) | 6.65903 | 0.380051 | 0.190026 | − | 0.981779i | \(-0.439143\pi\) | ||||
0.190026 | + | 0.981779i | \(0.439143\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.61255 | − | 6.25713i | 0.205511 | − | 0.355955i | ||||
\(310\) | 14.7247 | 0.836304 | ||||||||
\(311\) | −1.02298 | + | 1.77186i | −0.0580081 | + | 0.100473i | −0.893571 | − | 0.448922i | \(-0.851808\pi\) |
0.835563 | + | 0.549395i | \(0.185142\pi\) | |||||||
\(312\) | −1.03006 | − | 0.343276i | −0.0583156 | − | 0.0194342i | ||||
\(313\) | 4.70883 | + | 8.15594i | 0.266159 | + | 0.461001i | 0.967867 | − | 0.251464i | \(-0.0809120\pi\) |
−0.701708 | + | 0.712465i | \(0.747579\pi\) | |||||||
\(314\) | 21.0686 | − | 36.4919i | 1.18897 | − | 2.05936i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.631667 | − | 1.09408i | −0.0355341 | − | 0.0615468i | ||||
\(317\) | 16.6856 | + | 28.9004i | 0.937159 | + | 1.62321i | 0.770738 | + | 0.637153i | \(0.219888\pi\) |
0.166421 | + | 0.986055i | \(0.446779\pi\) | |||||||
\(318\) | −0.115758 | −0.00649141 | ||||||||
\(319\) | −0.736200 | −0.0412193 | ||||||||
\(320\) | 3.55567 | + | 6.15860i | 0.198768 | + | 0.344276i | ||||
\(321\) | 1.86003 | + | 3.22167i | 0.103817 | + | 0.179816i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.94965 | − | 3.37689i | 0.108481 | − | 0.187895i | ||||
\(324\) | −6.02027 | − | 10.4274i | −0.334460 | − | 0.579301i | ||||
\(325\) | 2.04624 | + | 9.99602i | 0.113505 | + | 0.554479i | ||||
\(326\) | 3.67024 | − | 6.35704i | 0.203276 | − | 0.352084i | ||||
\(327\) | 5.15873 | 0.285279 | ||||||||
\(328\) | 1.81472 | − | 3.14318i | 0.100201 | − | 0.173553i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −5.28425 | −0.290888 | ||||||||
\(331\) | −9.53298 | + | 16.5116i | −0.523980 | + | 0.907560i | 0.475631 | + | 0.879645i | \(0.342220\pi\) |
−0.999610 | + | 0.0279144i | \(0.991113\pi\) | |||||||
\(332\) | 26.1289 | 1.43401 | ||||||||
\(333\) | 9.92870 | − | 17.1970i | 0.544089 | − | 0.942390i | ||||
\(334\) | −2.03794 | + | 3.52982i | −0.111511 | + | 0.193143i | ||||
\(335\) | −3.04603 | + | 5.27588i | −0.166423 | + | 0.288252i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −31.2849 | −1.70420 | −0.852098 | − | 0.523382i | \(-0.824670\pi\) | ||||
−0.852098 | + | 0.523382i | \(0.824670\pi\) | |||||||
\(338\) | −2.95983 | + | 24.5948i | −0.160994 | + | 1.33778i | ||||
\(339\) | 2.00777 | − | 3.47757i | 0.109047 | − | 0.188876i | ||||
\(340\) | −1.44500 | − | 2.50282i | −0.0783663 | − | 0.135734i | ||||
\(341\) | 23.0464 | 1.24803 | ||||||||
\(342\) | 8.69996 | + | 15.0688i | 0.470440 | + | 0.814826i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.00799504 | − | 0.0138478i | −0.000431064 | − | 0.000746624i | ||||
\(345\) | −1.40026 | + | 2.42532i | −0.0753874 | + | 0.130575i | ||||
\(346\) | 15.8288 | − | 27.4163i | 0.850961 | − | 1.47391i | ||||
\(347\) | 11.6752 | 0.626757 | 0.313378 | − | 0.949628i | \(-0.398539\pi\) | ||||
0.313378 | + | 0.949628i | \(0.398539\pi\) | |||||||
\(348\) | −0.117103 | −0.00627738 | ||||||||
\(349\) | 11.9952 | − | 20.7763i | 0.642089 | − | 1.11213i | −0.342877 | − | 0.939380i | \(-0.611401\pi\) |
0.984966 | − | 0.172750i | \(-0.0552652\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.72233 | + | 5.96184i | −0.358811 | + | 0.318219i | ||||
\(352\) | 16.1751 | + | 28.0161i | 0.862135 | + | 1.49326i | ||||
\(353\) | 6.39668 | + | 11.0794i | 0.340461 | + | 0.589696i | 0.984518 | − | 0.175282i | \(-0.0560836\pi\) |
−0.644057 | + | 0.764977i | \(0.722750\pi\) | |||||||
\(354\) | −2.18132 | − | 3.77816i | −0.115936 | − | 0.200807i | ||||
\(355\) | 7.34334 | − | 12.7190i | 0.389744 | − | 0.675057i | ||||
\(356\) | −10.6965 | −0.566912 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.514021 | − | 0.890310i | −0.0271668 | − | 0.0470544i | ||||
\(359\) | −6.16986 | − | 10.6865i | −0.325633 | − | 0.564012i | 0.656008 | − | 0.754754i | \(-0.272244\pi\) |
−0.981640 | + | 0.190742i | \(0.938911\pi\) | |||||||
\(360\) | −2.91610 | −0.153692 | ||||||||
\(361\) | 4.24442 | + | 7.35155i | 0.223390 | + | 0.386924i | ||||
\(362\) | 5.28152 | 0.277591 | ||||||||
\(363\) | −3.55776 | −0.186734 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −22.4528 | −1.17524 | ||||||||
\(366\) | −9.42633 | −0.492722 | ||||||||
\(367\) | 1.01538 | + | 1.75870i | 0.0530026 | + | 0.0918032i | 0.891309 | − | 0.453396i | \(-0.149788\pi\) |
−0.838307 | + | 0.545199i | \(0.816454\pi\) | |||||||
\(368\) | 20.4179 | 1.06436 | ||||||||
\(369\) | −7.27188 | − | 12.5953i | −0.378559 | − | 0.655684i | ||||
\(370\) | 9.89593 | + | 17.1403i | 0.514465 | + | 0.891079i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 3.66586 | 0.190066 | ||||||||
\(373\) | 1.93700 | − | 3.35498i | 0.100294 | − | 0.173714i | −0.811512 | − | 0.584336i | \(-0.801355\pi\) |
0.911806 | + | 0.410622i | \(0.134688\pi\) | |||||||
\(374\) | −5.03473 | − | 8.72040i | −0.260340 | − | 0.450921i | ||||
\(375\) | −2.47095 | − | 4.27981i | −0.127599 | − | 0.221009i | ||||
\(376\) | 4.10588 | + | 7.11160i | 0.211745 | + | 0.366753i | ||||
\(377\) | −0.121160 | − | 0.591877i | −0.00624007 | − | 0.0304832i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.28396 | − | 12.6162i | 0.374152 | − | 0.648050i | −0.616048 | − | 0.787709i | \(-0.711267\pi\) |
0.990200 | + | 0.139659i | \(0.0446006\pi\) | |||||||
\(380\) | −7.79045 | −0.399642 | ||||||||
\(381\) | −6.80606 | −0.348685 | ||||||||
\(382\) | −19.2850 | + | 33.4025i | −0.986705 | + | 1.70902i | ||||
\(383\) | −13.3909 | + | 23.1937i | −0.684243 | + | 1.18514i | 0.289430 | + | 0.957199i | \(0.406534\pi\) |
−0.973674 | + | 0.227945i | \(0.926799\pi\) | |||||||
\(384\) | −1.18405 | − | 2.05084i | −0.0604234 | − | 0.104656i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −15.6038 | − | 27.0266i | −0.794212 | − | 1.37562i | ||||
\(387\) | −0.0640749 | −0.00325711 | ||||||||
\(388\) | 2.84773 | + | 4.93241i | 0.144571 | + | 0.250405i | ||||
\(389\) | −6.00738 | + | 10.4051i | −0.304586 | + | 0.527559i | −0.977169 | − | 0.212463i | \(-0.931852\pi\) |
0.672583 | + | 0.740022i | \(0.265185\pi\) | |||||||
\(390\) | −0.869656 | − | 4.24834i | −0.0440368 | − | 0.215123i | ||||
\(391\) | −5.33655 | −0.269881 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.397910 | + | 0.689200i | −0.0200719 | + | 0.0347655i | ||||
\(394\) | 18.8017 | − | 32.5655i | 0.947216 | − | 1.64063i | ||||
\(395\) | −0.570470 | + | 0.988084i | −0.0287035 | + | 0.0497159i | ||||
\(396\) | 20.1845 | 1.01431 | ||||||||
\(397\) | −0.828825 | + | 1.43557i | −0.0415975 | + | 0.0720491i | −0.886075 | − | 0.463543i | \(-0.846578\pi\) |
0.844477 | + | 0.535592i | \(0.179911\pi\) | |||||||
\(398\) | −26.9017 | −1.34846 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.51106 | + | 11.2775i | −0.325553 | + | 0.563874i | ||||
\(401\) | −20.4828 | −1.02286 | −0.511430 | − | 0.859325i | \(-0.670884\pi\) | ||||
−0.511430 | + | 0.859325i | \(0.670884\pi\) | |||||||
\(402\) | −1.68816 | + | 2.92398i | −0.0841978 | + | 0.145835i | ||||
\(403\) | 3.79287 | + | 18.5285i | 0.188936 | + | 0.922968i | ||||
\(404\) | 2.10240 | + | 3.64146i | 0.104598 | + | 0.181169i | ||||
\(405\) | −5.43702 | + | 9.41720i | −0.270168 | + | 0.467944i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.4887 | + | 26.8272i | 0.767746 | + | 1.32978i | ||||
\(408\) | 0.181089 | + | 0.313655i | 0.00896522 | + | 0.0155282i | ||||
\(409\) | −14.8659 | −0.735070 | −0.367535 | − | 0.930010i | \(-0.619798\pi\) | ||||
−0.367535 | + | 0.930010i | \(0.619798\pi\) | |||||||
\(410\) | 14.4958 | 0.715895 | ||||||||
\(411\) | −2.74211 | − | 4.74948i | −0.135258 | − | 0.234274i | ||||
\(412\) | −13.7535 | − | 23.8217i | −0.677586 | − | 1.17361i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 11.9067 | − | 20.6230i | 0.585182 | − | 1.01357i | ||||
\(415\) | −11.7988 | − | 20.4360i | −0.579178 | − | 1.00317i | ||||
\(416\) | −19.8619 | + | 17.6149i | −0.973808 | + | 0.863643i | ||||
\(417\) | 0.0725639 | − | 0.125684i | 0.00355347 | − | 0.00615479i | ||||
\(418\) | −27.1438 | −1.32764 | ||||||||
\(419\) | −11.8087 | + | 20.4533i | −0.576895 | + | 0.999211i | 0.418938 | + | 0.908015i | \(0.362402\pi\) |
−0.995833 | + | 0.0911962i | \(0.970931\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.0822 | 1.27117 | 0.635585 | − | 0.772031i | \(-0.280759\pi\) | ||||
0.635585 | + | 0.772031i | \(0.280759\pi\) | |||||||
\(422\) | −4.40788 | + | 7.63467i | −0.214572 | + | 0.371650i | ||||
\(423\) | 32.9059 | 1.59994 | ||||||||
\(424\) | 0.0498269 | − | 0.0863028i | 0.00241981 | − | 0.00419123i | ||||
\(425\) | 1.70177 | − | 2.94755i | 0.0825479 | − | 0.142977i | ||||
\(426\) | 4.06980 | − | 7.04910i | 0.197182 | − | 0.341530i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 14.1628 | 0.684584 | ||||||||
\(429\) | −1.36115 | − | 6.64932i | −0.0657169 | − | 0.321032i | ||||
\(430\) | 0.0319317 | − | 0.0553074i | 0.00153988 | − | 0.00266716i | ||||
\(431\) | 6.65859 | + | 11.5330i | 0.320733 | + | 0.555526i | 0.980640 | − | 0.195822i | \(-0.0627374\pi\) |
−0.659906 | + | 0.751348i | \(0.729404\pi\) | |||||||
\(432\) | −11.4675 | −0.551728 | ||||||||
\(433\) | 10.2110 | + | 17.6860i | 0.490711 | + | 0.849937i | 0.999943 | − | 0.0106929i | \(-0.00340371\pi\) |
−0.509232 | + | 0.860629i | \(0.670070\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0528790 | + | 0.0915890i | 0.00253535 | + | 0.00439136i | ||||
\(436\) | 9.82001 | − | 17.0087i | 0.470293 | − | 0.814571i | ||||
\(437\) | −7.19275 | + | 12.4582i | −0.344076 | + | 0.595957i | ||||
\(438\) | −12.4437 | −0.594585 | ||||||||
\(439\) | 9.77074 | 0.466332 | 0.233166 | − | 0.972437i | \(-0.425091\pi\) | ||||
0.233166 | + | 0.972437i | \(0.425091\pi\) | |||||||
\(440\) | 2.27455 | − | 3.93963i | 0.108435 | − | 0.187814i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.18229 | − | 5.48290i | 0.294061 | − | 0.260795i | ||||
\(443\) | −10.5819 | − | 18.3285i | −0.502763 | − | 0.870811i | −0.999995 | − | 0.00319331i | \(-0.998984\pi\) |
0.497232 | − | 0.867618i | \(-0.334350\pi\) | |||||||
\(444\) | 2.46370 | + | 4.26725i | 0.116922 | + | 0.202514i | ||||
\(445\) | 4.83010 | + | 8.36597i | 0.228968 | + | 0.396585i | ||||
\(446\) | 20.3440 | − | 35.2368i | 0.963317 | − | 1.66851i | ||||
\(447\) | −1.68087 | −0.0795023 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.07320 | + | 15.7152i | 0.428191 | + | 0.741648i | 0.996712 | − | 0.0810200i | \(-0.0258178\pi\) |
−0.568522 | + | 0.822668i | \(0.692484\pi\) | |||||||
\(450\) | 7.59384 | + | 13.1529i | 0.357977 | + | 0.620034i | ||||
\(451\) | 22.6882 | 1.06834 | ||||||||
\(452\) | −7.64387 | − | 13.2396i | −0.359538 | − | 0.622737i | ||||
\(453\) | 0.907789 | 0.0426517 | ||||||||
\(454\) | −19.9112 | −0.934480 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.976304 | 0.0457196 | ||||||||
\(457\) | −18.0198 | −0.842932 | −0.421466 | − | 0.906844i | \(-0.638484\pi\) | ||||
−0.421466 | + | 0.906844i | \(0.638484\pi\) | |||||||
\(458\) | −13.7753 | − | 23.8595i | −0.643678 | − | 1.11488i | ||||
\(459\) | 2.99720 | 0.139897 | ||||||||
\(460\) | 5.33098 | + | 9.23352i | 0.248558 | + | 0.430515i | ||||
\(461\) | −14.8873 | − | 25.7855i | −0.693370 | − | 1.20095i | −0.970727 | − | 0.240185i | \(-0.922792\pi\) |
0.277357 | − | 0.960767i | \(-0.410542\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.7067 | 0.822900 | 0.411450 | − | 0.911432i | \(-0.365023\pi\) | ||||
0.411450 | + | 0.911432i | \(0.365023\pi\) | |||||||
\(464\) | 0.385529 | − | 0.667755i | 0.0178977 | − | 0.0309997i | ||||
\(465\) | −1.65535 | − | 2.86715i | −0.0767651 | − | 0.132961i | ||||
\(466\) | −8.84968 | − | 15.3281i | −0.409953 | − | 0.710060i | ||||
\(467\) | −2.91461 | − | 5.04825i | −0.134872 | − | 0.233605i | 0.790677 | − | 0.612234i | \(-0.209729\pi\) |
−0.925549 | + | 0.378629i | \(0.876396\pi\) | |||||||
\(468\) | 3.32186 | + | 16.2276i | 0.153553 | + | 0.750120i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −16.3987 | + | 28.4033i | −0.756414 | + | 1.31015i | ||||
\(471\) | −9.47418 | −0.436547 | ||||||||
\(472\) | 3.75570 | 0.172870 | ||||||||
\(473\) | 0.0499782 | − | 0.0865648i | 0.00229800 | − | 0.00398025i | ||||
\(474\) | −0.316164 | + | 0.547612i | −0.0145219 | + | 0.0251527i | ||||
\(475\) | −4.58738 | − | 7.94557i | −0.210483 | − | 0.364568i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.199665 | − | 0.345830i | −0.00914203 | − | 0.0158345i | ||||
\(478\) | −37.4122 | −1.71120 | ||||||||
\(479\) | 7.24565 | + | 12.5498i | 0.331062 | + | 0.573417i | 0.982720 | − | 0.185096i | \(-0.0592596\pi\) |
−0.651658 | + | 0.758513i | \(0.725926\pi\) | |||||||
\(480\) | 2.32361 | − | 4.02461i | 0.106058 | − | 0.183698i | ||||
\(481\) | −19.0190 | + | 16.8674i | −0.867193 | + | 0.769088i | ||||
\(482\) | 13.9316 | 0.634569 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.77245 | + | 11.7302i | −0.307839 | + | 0.533192i | ||||
\(485\) | 2.57183 | − | 4.45455i | 0.116781 | − | 0.202271i | ||||
\(486\) | −10.1364 | + | 17.5567i | −0.459795 | + | 0.796389i | ||||
\(487\) | −17.9601 | −0.813851 | −0.406926 | − | 0.913461i | \(-0.633399\pi\) | ||||
−0.406926 | + | 0.913461i | \(0.633399\pi\) | |||||||
\(488\) | 4.05746 | − | 7.02772i | 0.183672 | − | 0.318130i | ||||
\(489\) | −1.65044 | −0.0746354 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.1505 | − | 31.4375i | 0.819119 | − | 1.41876i | −0.0872134 | − | 0.996190i | \(-0.527796\pi\) |
0.906332 | − | 0.422566i | \(-0.138870\pi\) | |||||||
\(492\) | 3.60887 | 0.162701 | ||||||||
\(493\) | −0.100764 | + | 0.174528i | −0.00453818 | + | 0.00786036i | ||||
\(494\) | −4.46719 | − | 21.8226i | −0.200988 | − | 0.981844i | ||||
\(495\) | −9.11449 | − | 15.7868i | −0.409666 | − | 0.709562i | ||||
\(496\) | −12.0688 | + | 20.9038i | −0.541905 | + | 0.938607i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −6.53906 | − | 11.3260i | −0.293022 | − | 0.507530i | ||||
\(499\) | −11.8538 | − | 20.5314i | −0.530649 | − | 0.919112i | −0.999360 | − | 0.0357602i | \(-0.988615\pi\) |
0.468711 | − | 0.883352i | \(-0.344719\pi\) | |||||||
\(500\) | −18.8145 | −0.841410 | ||||||||
\(501\) | 0.916426 | 0.0409429 | ||||||||
\(502\) | 11.3036 | + | 19.5784i | 0.504505 | + | 0.873828i | ||||
\(503\) | 13.8876 | + | 24.0540i | 0.619217 | + | 1.07252i | 0.989629 | + | 0.143648i | \(0.0458834\pi\) |
−0.370411 | + | 0.928868i | \(0.620783\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.89871 | − | 3.28867i | 0.0844916 | − | 0.146344i | ||||
\(506\) | 18.5744 | + | 32.1717i | 0.825731 | + | 1.43021i | ||||
\(507\) | 5.12180 | − | 2.18863i | 0.227467 | − | 0.0972003i | ||||
\(508\) | −12.9558 | + | 22.4401i | −0.574820 | + | 0.995618i | ||||
\(509\) | −8.70416 | −0.385805 | −0.192902 | − | 0.981218i | \(-0.561790\pi\) | ||||
−0.192902 | + | 0.981218i | \(0.561790\pi\) | |||||||
\(510\) | −0.723257 | + | 1.25272i | −0.0320264 | + | 0.0554713i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −27.4134 | −1.21151 | ||||||||
\(513\) | 4.03971 | − | 6.99698i | 0.178357 | − | 0.308924i | ||||
\(514\) | −28.9114 | −1.27523 | ||||||||
\(515\) | −12.4210 | + | 21.5139i | −0.547336 | + | 0.948014i | ||||
\(516\) | 0.00794974 | − | 0.0137693i | 0.000349968 | − | 0.000606162i | ||||
\(517\) | −25.6665 | + | 44.4557i | −1.12881 | + | 1.95516i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −7.11792 | −0.312442 | ||||||||
\(520\) | 3.54165 | + | 1.18028i | 0.155312 | + | 0.0517589i | ||||
\(521\) | −4.28573 | + | 7.42310i | −0.187761 | + | 0.325212i | −0.944504 | − | 0.328501i | \(-0.893456\pi\) |
0.756742 | + | 0.653713i | \(0.226790\pi\) | |||||||
\(522\) | −0.449641 | − | 0.778801i | −0.0196803 | − | 0.0340872i | ||||
\(523\) | −29.9493 | −1.30959 | −0.654796 | − | 0.755806i | \(-0.727245\pi\) | ||||
−0.654796 | + | 0.755806i | \(0.727245\pi\) | |||||||
\(524\) | 1.51490 | + | 2.62388i | 0.0661786 | + | 0.114625i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.3844 | + | 28.3786i | 0.714393 | + | 1.23736i | ||||
\(527\) | 3.15437 | − | 5.46353i | 0.137407 | − | 0.237995i | ||||
\(528\) | 4.33114 | − | 7.50175i | 0.188489 | − | 0.326472i | ||||
\(529\) | −3.31212 | −0.144005 | ||||||||
\(530\) | 0.398012 | 0.0172885 | ||||||||
\(531\) | 7.52486 | − | 13.0334i | 0.326551 | − | 0.565603i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.73391 | + | 18.2404i | 0.161734 | + | 0.790081i | ||||
\(534\) | 2.67692 | + | 4.63656i | 0.115842 | + | 0.200643i | ||||
\(535\) | −6.39534 | − | 11.0770i | −0.276494 | − | 0.478902i | ||||
\(536\) | −1.45330 | − | 2.51719i | −0.0627730 | − | 0.108726i | ||||
\(537\) | −0.115573 | + | 0.200178i | −0.00498734 | + | 0.00863832i | ||||
\(538\) | 36.0571 | 1.55453 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.99407 | − | 5.18588i | −0.128844 | − | 0.223165i | ||||
\(541\) | −5.24095 | − | 9.07760i | −0.225326 | − | 0.390276i | 0.731091 | − | 0.682280i | \(-0.239011\pi\) |
−0.956417 | + | 0.292003i | \(0.905678\pi\) | |||||||
\(542\) | 61.2321 | 2.63014 | ||||||||
\(543\) | −0.593751 | − | 1.02841i | −0.0254803 | − | 0.0441331i | ||||
\(544\) | 8.85557 | 0.379679 | ||||||||
\(545\) | −17.7373 | −0.759781 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.2216 | 0.650829 | 0.325415 | − | 0.945571i | \(-0.394496\pi\) | ||||
0.325415 | + | 0.945571i | \(0.394496\pi\) | |||||||
\(548\) | −20.8792 | −0.891915 | ||||||||
\(549\) | −16.2589 | − | 28.1613i | −0.693914 | − | 1.20189i | ||||
\(550\) | −23.6927 | −1.01026 | ||||||||
\(551\) | 0.271625 | + | 0.470468i | 0.0115716 | + | 0.0200426i | ||||
\(552\) | −0.668081 | − | 1.15715i | −0.0284354 | − | 0.0492516i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −35.0726 | −1.49009 | ||||||||
\(555\) | 2.22501 | − | 3.85383i | 0.0944464 | − | 0.163586i | ||||
\(556\) | −0.276261 | − | 0.478497i | −0.0117161 | − | 0.0202928i | ||||
\(557\) | −5.92986 | − | 10.2708i | −0.251256 | − | 0.435189i | 0.712616 | − | 0.701555i | \(-0.247510\pi\) |
−0.963872 | + | 0.266366i | \(0.914177\pi\) | |||||||
\(558\) | 14.0758 | + | 24.3800i | 0.595877 | + | 1.03209i | ||||
\(559\) | 0.0778200 | + | 0.0259342i | 0.00329144 | + | 0.00109690i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.13201 | + | 1.96070i | −0.0477936 | + | 0.0827809i | ||||
\(562\) | 27.1069 | 1.14344 | ||||||||
\(563\) | −7.69349 | −0.324242 | −0.162121 | − | 0.986771i | \(-0.551834\pi\) | ||||
−0.162121 | + | 0.986771i | \(0.551834\pi\) | |||||||
\(564\) | −4.08262 | + | 7.07131i | −0.171909 | + | 0.297756i | ||||
\(565\) | −6.90332 | + | 11.9569i | −0.290425 | + | 0.503031i | ||||
\(566\) | 10.8892 | + | 18.8607i | 0.457709 | + | 0.792775i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.50360 | + | 6.06841i | 0.147008 | + | 0.254625i | ||||
\(569\) | 37.4196 | 1.56871 | 0.784355 | − | 0.620312i | \(-0.212994\pi\) | ||||
0.784355 | + | 0.620312i | \(0.212994\pi\) | |||||||
\(570\) | 1.94965 | + | 3.37689i | 0.0816619 | + | 0.141443i | ||||
\(571\) | −7.08285 | + | 12.2679i | −0.296408 | + | 0.513394i | −0.975311 | − | 0.220834i | \(-0.929122\pi\) |
0.678903 | + | 0.734228i | \(0.262456\pi\) | |||||||
\(572\) | −24.5144 | − | 8.16963i | −1.02500 | − | 0.341589i | ||||
\(573\) | 8.67209 | 0.362282 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.27825 | + | 10.8742i | −0.261821 | + | 0.453488i | ||||
\(576\) | −6.79797 | + | 11.7744i | −0.283249 | + | 0.490601i | ||||
\(577\) | −7.48776 | + | 12.9692i | −0.311720 | + | 0.539914i | −0.978735 | − | 0.205130i | \(-0.934238\pi\) |
0.667015 | + | 0.745044i | \(0.267572\pi\) | |||||||
\(578\) | 29.6381 | 1.23278 | ||||||||
\(579\) | −3.50837 | + | 6.07667i | −0.145803 | + | 0.252538i | ||||
\(580\) | 0.402635 | 0.0167185 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.42535 | − | 2.46878i | 0.0590828 | − | 0.102334i | ||||
\(583\) | 0.622952 | 0.0258000 | ||||||||
\(584\) | 5.35627 | − | 9.27732i | 0.221644 | − | 0.383898i | ||||
\(585\) | 11.1919 | − | 9.92582i | 0.462730 | − | 0.410382i | ||||
\(586\) | 12.5811 | + | 21.7911i | 0.519720 | + | 0.900182i | ||||
\(587\) | −6.58821 | + | 11.4111i | −0.271925 | + | 0.470987i | −0.969355 | − | 0.245666i | \(-0.920993\pi\) |
0.697430 | + | 0.716653i | \(0.254327\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.50309 | − | 14.7278i | −0.350364 | − | 0.606848i | ||||
\(590\) | 7.50003 | + | 12.9904i | 0.308771 | + | 0.534807i | ||||
\(591\) | −8.45478 | −0.347783 | ||||||||
\(592\) | −32.4441 | −1.33344 | ||||||||
\(593\) | −22.0663 | − | 38.2200i | −0.906156 | − | 1.56951i | −0.819357 | − | 0.573283i | \(-0.805670\pi\) |
−0.0867989 | − | 0.996226i | \(-0.527664\pi\) | |||||||
\(594\) | −10.4320 | − | 18.0688i | −0.428032 | − | 0.741372i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.19965 | + | 5.54195i | −0.131063 | + | 0.227007i | ||||
\(597\) | 3.02429 | + | 5.23823i | 0.123776 | + | 0.214387i | ||||
\(598\) | −22.8080 | + | 20.2278i | −0.932689 | + | 0.827175i | ||||
\(599\) | 3.01349 | − | 5.21952i | 0.123128 | − | 0.213264i | −0.797872 | − | 0.602827i | \(-0.794041\pi\) |
0.921000 | + | 0.389564i | \(0.127374\pi\) | |||||||
\(600\) | 0.852175 | 0.0347899 | ||||||||
\(601\) | 1.86260 | − | 3.22612i | 0.0759770 | − | 0.131596i | −0.825534 | − | 0.564353i | \(-0.809126\pi\) |
0.901511 | + | 0.432757i | \(0.142459\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.6472 | −0.474312 | ||||||||
\(604\) | 1.72804 | − | 2.99305i | 0.0703129 | − | 0.121786i | ||||
\(605\) | 12.2326 | 0.497328 | ||||||||
\(606\) | 1.05230 | − | 1.82263i | 0.0427467 | − | 0.0740394i | ||||
\(607\) | −3.00825 | + | 5.21045i | −0.122101 | + | 0.211486i | −0.920596 | − | 0.390516i | \(-0.872297\pi\) |
0.798495 | + | 0.602002i | \(0.205630\pi\) | |||||||
\(608\) | 11.9358 | − | 20.6733i | 0.484059 | − | 0.838415i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 32.4105 | 1.31226 | ||||||||
\(611\) | −39.9648 | − | 13.3186i | −1.61680 | − | 0.538813i | ||||
\(612\) | 2.76266 | − | 4.78506i | 0.111674 | − | 0.193425i | ||||
\(613\) | −4.90413 | − | 8.49420i | −0.198076 | − | 0.343077i | 0.749829 | − | 0.661632i | \(-0.230136\pi\) |
−0.947904 | + | 0.318555i | \(0.896803\pi\) | |||||||
\(614\) | −12.6892 | −0.512094 | ||||||||
\(615\) | −1.62962 | − | 2.82258i | −0.0657126 | − | 0.113818i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.8838 | − | 29.2436i | −0.679716 | − | 1.17730i | −0.975066 | − | 0.221914i | \(-0.928770\pi\) |
0.295350 | − | 0.955389i | \(-0.404564\pi\) | |||||||
\(618\) | −6.88394 | + | 11.9233i | −0.276913 | + | 0.479627i | ||||
\(619\) | 2.04671 | − | 3.54501i | 0.0822644 | − | 0.142486i | −0.821958 | − | 0.569548i | \(-0.807118\pi\) |
0.904222 | + | 0.427062i | \(0.140451\pi\) | |||||||
\(620\) | −12.6043 | −0.506201 | ||||||||
\(621\) | −11.0574 | −0.443719 | ||||||||
\(622\) | 1.94936 | − | 3.37639i | 0.0781621 | − | 0.135381i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 6.74393 | + | 2.24747i | 0.269973 | + | 0.0899709i | ||||
\(625\) | 1.42115 | + | 2.46150i | 0.0568459 | + | 0.0984599i | ||||
\(626\) | −8.97297 | − | 15.5416i | −0.358632 | − | 0.621169i | ||||
\(627\) | 3.05151 | + | 5.28537i | 0.121866 | + | 0.211077i | ||||
\(628\) | −18.0347 | + | 31.2371i | −0.719665 | + | 1.24650i | ||||
\(629\) | 8.47978 | 0.338111 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.3868 | + | 23.1866i | 0.532921 | + | 0.923046i | 0.999261 | + | 0.0384402i | \(0.0122389\pi\) |
−0.466340 | + | 0.884605i | \(0.654428\pi\) | |||||||
\(632\) | −0.272179 | − | 0.471427i | −0.0108267 | − | 0.0187524i | ||||
\(633\) | 1.98214 | 0.0787831 | ||||||||
\(634\) | −31.7955 | − | 55.0714i | −1.26276 | − | 2.18717i | ||||
\(635\) | 23.4012 | 0.928650 | ||||||||
\(636\) | 0.0990892 | 0.00392914 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.40287 | 0.0555403 | ||||||||
\(639\) | 28.0790 | 1.11079 | ||||||||
\(640\) | 4.07112 | + | 7.05139i | 0.160925 | + | 0.278731i | ||||
\(641\) | −18.5722 | −0.733558 | −0.366779 | − | 0.930308i | \(-0.619539\pi\) | ||||
−0.366779 | + | 0.930308i | \(0.619539\pi\) | |||||||
\(642\) | −3.54440 | − | 6.13908i | −0.139886 | − | 0.242290i | ||||
\(643\) | −1.96695 | − | 3.40686i | −0.0775690 | − | 0.134353i | 0.824632 | − | 0.565670i | \(-0.191382\pi\) |
−0.902201 | + | 0.431317i | \(0.858049\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.0143591 | −0.000565389 | ||||||||
\(646\) | −3.71518 | + | 6.43487i | −0.146172 | + | 0.253177i | ||||
\(647\) | −0.0985378 | − | 0.170672i | −0.00387392 | − | 0.00670983i | 0.864082 | − | 0.503351i | \(-0.167900\pi\) |
−0.867956 | + | 0.496641i | \(0.834566\pi\) | |||||||
\(648\) | −2.59407 | − | 4.49306i | −0.101905 | − | 0.176504i | ||||
\(649\) | 11.7387 | + | 20.3321i | 0.460785 | + | 0.798104i | ||||
\(650\) | −3.89922 | − | 19.0480i | −0.152940 | − | 0.747125i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.14172 | + | 5.44163i | −0.123039 | + | 0.213110i | ||||
\(653\) | −14.4673 | −0.566148 | −0.283074 | − | 0.959098i | \(-0.591354\pi\) | ||||
−0.283074 | + | 0.959098i | \(0.591354\pi\) | |||||||
\(654\) | −9.83028 | −0.384394 | ||||||||
\(655\) | 1.36813 | − | 2.36967i | 0.0534573 | − | 0.0925908i | ||||
\(656\) | −11.8812 | + | 20.5788i | −0.463883 | + | 0.803468i | ||||
\(657\) | −21.4635 | − | 37.1758i | −0.837369 | − | 1.45037i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.7066 | + | 20.2764i | 0.456024 | + | 0.789857i | 0.998746 | − | 0.0500552i | \(-0.0159397\pi\) |
−0.542722 | + | 0.839912i | \(0.682606\pi\) | |||||||
\(660\) | 4.52332 | 0.176070 | ||||||||
\(661\) | −2.02409 | − | 3.50582i | −0.0787278 | − | 0.136361i | 0.823973 | − | 0.566628i | \(-0.191752\pi\) |
−0.902701 | + | 0.430268i | \(0.858419\pi\) | |||||||
\(662\) | 18.1657 | − | 31.4638i | 0.706028 | − | 1.22288i | ||||
\(663\) | −1.76263 | − | 0.587412i | −0.0684550 | − | 0.0228132i | ||||
\(664\) | 11.2587 | 0.436921 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −18.9197 | + | 32.7699i | −0.733125 | + | 1.26981i | ||||
\(667\) | 0.371744 | − | 0.643879i | 0.0143940 | − | 0.0249311i | ||||
\(668\) | 1.74448 | − | 3.02153i | 0.0674959 | − | 0.116906i | ||||
\(669\) | −9.14832 | −0.353695 | ||||||||
\(670\) | 5.80440 | − | 10.0535i | 0.224243 | − | 0.388401i | ||||
\(671\) | 50.7276 | 1.95832 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.64704 | + | 6.31685i | −0.140583 | + | 0.243497i | −0.927716 | − | 0.373286i | \(-0.878231\pi\) |
0.787133 | + | 0.616783i | \(0.211564\pi\) | |||||||
\(674\) | 59.6152 | 2.29629 | ||||||||
\(675\) | 3.52609 | − | 6.10737i | 0.135719 | − | 0.235073i | ||||
\(676\) | 2.53362 | − | 21.0532i | 0.0974468 | − | 0.809737i | ||||
\(677\) | −7.87553 | − | 13.6408i | −0.302681 | − | 0.524259i | 0.674061 | − | 0.738676i | \(-0.264548\pi\) |
−0.976742 | + | 0.214416i | \(0.931215\pi\) | |||||||
\(678\) | −3.82593 | + | 6.62671i | −0.146934 | + | 0.254497i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.622636 | − | 1.07844i | −0.0238770 | − | 0.0413562i | ||||
\(681\) | 2.23843 | + | 3.87707i | 0.0857767 | + | 0.148570i | ||||
\(682\) | −43.9163 | −1.68164 | ||||||||
\(683\) | 41.4854 | 1.58739 | 0.793697 | − | 0.608314i | \(-0.208154\pi\) | ||||
0.793697 | + | 0.608314i | \(0.208154\pi\) | |||||||
\(684\) | −7.44717 | − | 12.8989i | −0.284750 | − | 0.493201i | ||||
\(685\) | 9.42819 | + | 16.3301i | 0.360233 | + | 0.623941i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.09725 | + | 5.36460i | −0.118168 | + | 0.204672i | ||||
\(688\) | 0.0523445 | + | 0.0906634i | 0.00199562 | + | 0.00345651i | ||||
\(689\) | 0.102522 | + | 0.500830i | 0.00390579 | + | 0.0190801i | ||||
\(690\) | 2.66828 | − | 4.62159i | 0.101580 | − | 0.175941i | ||||
\(691\) | 46.8216 | 1.78118 | 0.890589 | − | 0.454809i | \(-0.150292\pi\) | ||||
0.890589 | + | 0.454809i | \(0.150292\pi\) | |||||||
\(692\) | −13.5494 | + | 23.4683i | −0.515073 | + | 0.892132i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.2478 | −0.844514 | ||||||||
\(695\) | −0.249496 | + | 0.432140i | −0.00946392 | + | 0.0163920i | ||||
\(696\) | −0.0504584 | −0.00191262 | ||||||||
\(697\) | 3.10534 | − | 5.37860i | 0.117623 | − | 0.203729i | ||||
\(698\) | −22.8576 | + | 39.5905i | −0.865172 | + | 1.49852i | ||||
\(699\) | −1.98977 | + | 3.44638i | −0.0752600 | + | 0.130354i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.8626 | 1.12790 | 0.563948 | − | 0.825810i | \(-0.309282\pi\) | ||||
0.563948 | + | 0.825810i | \(0.309282\pi\) | |||||||
\(702\) | 12.8098 | − | 11.3606i | 0.483475 | − | 0.428780i | ||||
\(703\) | 11.4293 | − | 19.7961i | 0.431063 | − | 0.746623i | ||||
\(704\) | −10.6048 | − | 18.3680i | −0.399683 | − | 0.692271i | ||||
\(705\) | 7.37418 | 0.277728 | ||||||||
\(706\) | −12.1893 | − | 21.1124i | −0.458749 | − | 0.794576i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 1.86721 | + | 3.23410i | 0.0701740 | + | 0.121545i | ||||
\(709\) | −13.4666 | + | 23.3249i | −0.505750 | + | 0.875984i | 0.494228 | + | 0.869332i | \(0.335451\pi\) |
−0.999978 | + | 0.00665185i | \(0.997883\pi\) | |||||||
\(710\) | −13.9932 | + | 24.2369i | −0.525155 | + | 0.909595i | ||||
\(711\) | −2.18133 | −0.0818063 | ||||||||
\(712\) | −4.60900 | −0.172729 | ||||||||
\(713\) | −11.6373 | + | 20.1563i | −0.435819 | + | 0.754861i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.68004 | + | 22.8623i | 0.175023 | + | 0.855003i | ||||
\(716\) | 0.440002 | + | 0.762105i | 0.0164436 | + | 0.0284812i | ||||
\(717\) | 4.20590 | + | 7.28483i | 0.157072 | + | 0.272057i | ||||
\(718\) | 11.7570 | + | 20.3638i | 0.438769 | + | 0.759969i | ||||
\(719\) | −7.24938 | + | 12.5563i | −0.270356 | + | 0.468271i | −0.968953 | − | 0.247245i | \(-0.920475\pi\) |
0.698597 | + | 0.715516i | \(0.253808\pi\) | |||||||
\(720\) | 19.0921 | 0.711519 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −8.08799 | − | 14.0088i | −0.301004 | − | 0.521354i | ||||
\(723\) | −1.56620 | − | 2.71274i | −0.0582476 | − | 0.100888i | ||||
\(724\) | −4.52098 | −0.168021 | ||||||||
\(725\) | 0.237090 | + | 0.410652i | 0.00880530 | + | 0.0152512i | ||||
\(726\) | 6.77953 | 0.251612 | ||||||||
\(727\) | 6.26424 | 0.232328 | 0.116164 | − | 0.993230i | \(-0.462940\pi\) | ||||
0.116164 | + | 0.993230i | \(0.462940\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −17.5866 | −0.651357 | ||||||||
\(730\) | 42.7852 | 1.58355 | ||||||||
\(731\) | −0.0136811 | − | 0.0236963i | −0.000506013 | − | 0.000876440i | ||||
\(732\) | 8.06893 | 0.298236 | ||||||||
\(733\) | −5.99189 | − | 10.3783i | −0.221316 | − | 0.383330i | 0.733892 | − | 0.679266i | \(-0.237702\pi\) |
−0.955208 | + | 0.295936i | \(0.904368\pi\) | |||||||
\(734\) | −1.93487 | − | 3.35130i | −0.0714175 | − | 0.123699i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −32.6704 | −1.20425 | ||||||||
\(737\) | 9.08480 | − | 15.7353i | 0.334643 | − | 0.579619i | ||||
\(738\) | 13.8570 | + | 24.0010i | 0.510084 | + | 0.883491i | ||||
\(739\) | −6.76269 | − | 11.7133i | −0.248770 | − | 0.430882i | 0.714415 | − | 0.699722i | \(-0.246693\pi\) |
−0.963185 | + | 0.268840i | \(0.913360\pi\) | |||||||
\(740\) | −8.47091 | − | 14.6721i | −0.311397 | − | 0.539355i | ||||
\(741\) | −3.74704 | + | 3.32314i | −0.137651 | + | 0.122079i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.2299 | − | 33.3072i | 0.705477 | − | 1.22192i | −0.261043 | − | 0.965327i | \(-0.584066\pi\) |
0.966519 | − | 0.256594i | \(-0.0826003\pi\) | |||||||
\(744\) | 1.57958 | 0.0579101 | ||||||||
\(745\) | 5.77932 | 0.211738 | ||||||||
\(746\) | −3.69107 | + | 6.39312i | −0.135140 | + | 0.234069i | ||||
\(747\) | 22.5577 | − | 39.0710i | 0.825342 | − | 1.42953i | ||||
\(748\) | 4.30973 | + | 7.46466i | 0.157579 | + | 0.272935i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 4.70855 | + | 8.15544i | 0.171932 | + | 0.297795i | ||||
\(751\) | 11.7115 | 0.427357 | 0.213679 | − | 0.976904i | \(-0.431455\pi\) | ||||
0.213679 | + | 0.976904i | \(0.431455\pi\) | |||||||
\(752\) | −26.8817 | − | 46.5605i | −0.980276 | − | 1.69789i | ||||
\(753\) | 2.54151 | − | 4.40203i | 0.0926178 | − | 0.160419i | ||||
\(754\) | 0.230878 | + | 1.12786i | 0.00840809 | + | 0.0410742i | ||||
\(755\) | −3.12125 | −0.113594 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.65791 | + | 8.06773i | −0.169295 | + | 0.293227i | −0.938172 | − | 0.346169i | \(-0.887482\pi\) |
0.768877 | + | 0.639396i | \(0.220816\pi\) | |||||||
\(758\) | −13.8800 | + | 24.0409i | −0.504145 | + | 0.873205i | ||||
\(759\) | 4.17627 | − | 7.23352i | 0.151589 | − | 0.262560i | ||||
\(760\) | −3.35682 | −0.121765 | ||||||||
\(761\) | −21.9691 | + | 38.0515i | −0.796378 | + | 1.37937i | 0.125582 | + | 0.992083i | \(0.459920\pi\) |
−0.921960 | + | 0.387284i | \(0.873413\pi\) | |||||||
\(762\) | 12.9693 | 0.469830 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.5079 | − | 28.5926i | 0.597236 | − | 1.03444i | ||||
\(765\) | −4.99002 | −0.180414 | ||||||||
\(766\) | 25.5172 | − | 44.1971i | 0.921973 | − | 1.59690i | ||||
\(767\) | −14.4143 | + | 12.7837i | −0.520471 | + | 0.461591i | ||||
\(768\) | 4.32455 | + | 7.49035i | 0.156049 | + | 0.270285i | ||||
\(769\) | 12.6771 | − | 21.9573i | 0.457147 | − | 0.791802i | −0.541662 | − | 0.840597i | \(-0.682205\pi\) |
0.998809 | + | 0.0487946i | \(0.0155380\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.25024 | + | 5.62957i | 0.117054 | + | 0.202744i | ||||
\(772\) | 13.3568 | + | 23.1347i | 0.480723 | + | 0.832637i | ||||
\(773\) | 23.1084 | 0.831152 | 0.415576 | − | 0.909559i | \(-0.363580\pi\) | ||||
0.415576 | + | 0.909559i | \(0.363580\pi\) | |||||||
\(774\) | 0.122099 | 0.00438874 | ||||||||
\(775\) |