Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 21 x^{18} - 47 x^{17} + 44 x^{16} + 232 x^{15} - 1084 x^{14} + 1484 x^{13} + 2670 x^{12} - 12826 x^{11} + 18393 x^{10} - 2728 x^{9} - 12654 x^{8} - 6818 x^{7} + \cdots + 1849 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 601.2 | ||
Root | \(-0.205162 + 0.236769i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.601 |
Dual form | 690.2.m.e.31.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −0.654861 | + | 0.755750i | −0.292863 | + | 0.337981i | ||||
\(6\) | −0.959493 | − | 0.281733i | −0.391711 | − | 0.115017i | ||||
\(7\) | 4.30262 | − | 2.76513i | 1.62624 | − | 1.04512i | 0.674470 | − | 0.738302i | \(-0.264372\pi\) |
0.951768 | − | 0.306818i | \(-0.0992643\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | −0.841254 | − | 0.540641i | −0.266028 | − | 0.170966i | ||||
\(11\) | 0.877534 | − | 6.10338i | 0.264586 | − | 1.84024i | −0.232572 | − | 0.972579i | \(-0.574714\pi\) |
0.497158 | − | 0.867660i | \(-0.334377\pi\) | |||||||
\(12\) | 0.142315 | − | 0.989821i | 0.0410828 | − | 0.285737i | ||||
\(13\) | −1.50568 | − | 0.967644i | −0.417601 | − | 0.268376i | 0.314923 | − | 0.949117i | \(-0.398021\pi\) |
−0.732524 | + | 0.680741i | \(0.761658\pi\) | |||||||
\(14\) | 3.34931 | + | 3.86531i | 0.895141 | + | 1.03305i | ||||
\(15\) | −0.415415 | − | 0.909632i | −0.107260 | − | 0.234866i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.59556 | − | 0.468498i | −0.386980 | − | 0.113628i | 0.0824546 | − | 0.996595i | \(-0.473724\pi\) |
−0.469435 | + | 0.882967i | \(0.655542\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | 6.35426 | − | 1.86578i | 1.45777 | − | 0.428039i | 0.545665 | − | 0.838004i | \(-0.316277\pi\) |
0.912101 | + | 0.409965i | \(0.134459\pi\) | |||||||
\(20\) | 0.415415 | − | 0.909632i | 0.0928896 | − | 0.203400i | ||||
\(21\) | 0.727875 | + | 5.06248i | 0.158835 | + | 1.10472i | ||||
\(22\) | 6.16614 | 1.31463 | ||||||||
\(23\) | −1.76703 | − | 4.45843i | −0.368451 | − | 0.929647i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 0.743514 | − | 1.62807i | 0.145815 | − | 0.319290i | ||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | −3.34931 | + | 3.86531i | −0.632960 | + | 0.730475i | ||||
\(29\) | −4.10832 | − | 1.20631i | −0.762895 | − | 0.224006i | −0.122935 | − | 0.992415i | \(-0.539231\pi\) |
−0.639960 | + | 0.768408i | \(0.721049\pi\) | |||||||
\(30\) | 0.841254 | − | 0.540641i | 0.153591 | − | 0.0987071i | ||||
\(31\) | −0.672836 | − | 1.47331i | −0.120845 | − | 0.264614i | 0.839536 | − | 0.543304i | \(-0.182827\pi\) |
−0.960381 | + | 0.278690i | \(0.910100\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 5.18729 | + | 3.33367i | 0.902991 | + | 0.580317i | ||||
\(34\) | 0.236658 | − | 1.64599i | 0.0405865 | − | 0.282285i | ||||
\(35\) | −0.727875 | + | 5.06248i | −0.123033 | + | 0.855715i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | 4.51174 | + | 5.20683i | 0.741726 | + | 0.855998i | 0.993739 | − | 0.111726i | \(-0.0356380\pi\) |
−0.252013 | + | 0.967724i | \(0.581093\pi\) | |||||||
\(38\) | 2.75109 | + | 6.02405i | 0.446286 | + | 0.977230i | ||||
\(39\) | 1.50568 | − | 0.967644i | 0.241102 | − | 0.154947i | ||||
\(40\) | 0.959493 | + | 0.281733i | 0.151709 | + | 0.0445458i | ||||
\(41\) | −5.47035 | + | 6.31312i | −0.854326 | + | 0.985944i | −0.999994 | − | 0.00338920i | \(-0.998921\pi\) |
0.145669 | + | 0.989333i | \(0.453467\pi\) | |||||||
\(42\) | −4.90736 | + | 1.44093i | −0.757223 | + | 0.222341i | ||||
\(43\) | −5.39942 | + | 11.8231i | −0.823404 | + | 1.80300i | −0.290354 | + | 0.956919i | \(0.593773\pi\) |
−0.533050 | + | 0.846084i | \(0.678954\pi\) | |||||||
\(44\) | 0.877534 | + | 6.10338i | 0.132293 | + | 0.920120i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 4.16158 | − | 2.38355i | 0.613591 | − | 0.351435i | ||||
\(47\) | 9.71133 | 1.41654 | 0.708272 | − | 0.705940i | \(-0.249475\pi\) | ||||
0.708272 | + | 0.705940i | \(0.249475\pi\) | |||||||
\(48\) | 0.142315 | + | 0.989821i | 0.0205414 | + | 0.142868i | ||||
\(49\) | 7.95873 | − | 17.4272i | 1.13696 | − | 2.48960i | ||||
\(50\) | 0.959493 | − | 0.281733i | 0.135693 | − | 0.0398430i | ||||
\(51\) | 1.08898 | − | 1.25675i | 0.152488 | − | 0.175980i | ||||
\(52\) | 1.71731 | + | 0.504247i | 0.238148 | + | 0.0699265i | ||||
\(53\) | 3.12713 | − | 2.00968i | 0.429544 | − | 0.276051i | −0.307953 | − | 0.951402i | \(-0.599644\pi\) |
0.737497 | + | 0.675350i | \(0.236008\pi\) | |||||||
\(54\) | 0.415415 | + | 0.909632i | 0.0565308 | + | 0.123785i | ||||
\(55\) | 4.03797 | + | 4.66006i | 0.544479 | + | 0.628363i | ||||
\(56\) | −4.30262 | − | 2.76513i | −0.574962 | − | 0.369506i | ||||
\(57\) | −0.942482 | + | 6.55511i | −0.124835 | + | 0.868245i | ||||
\(58\) | 0.609358 | − | 4.23818i | 0.0800126 | − | 0.556500i | ||||
\(59\) | −5.44994 | − | 3.50246i | −0.709522 | − | 0.455982i | 0.135456 | − | 0.990783i | \(-0.456750\pi\) |
−0.844978 | + | 0.534801i | \(0.820386\pi\) | |||||||
\(60\) | 0.654861 | + | 0.755750i | 0.0845422 | + | 0.0975669i | ||||
\(61\) | 2.76439 | + | 6.05316i | 0.353943 | + | 0.775028i | 0.999932 | + | 0.0116808i | \(0.00371818\pi\) |
−0.645988 | + | 0.763347i | \(0.723555\pi\) | |||||||
\(62\) | 1.36256 | − | 0.875661i | 0.173045 | − | 0.111209i | ||||
\(63\) | −4.90736 | − | 1.44093i | −0.618270 | − | 0.181540i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 1.71731 | − | 0.504247i | 0.213006 | − | 0.0625442i | ||||
\(66\) | −2.56151 | + | 5.60892i | −0.315300 | + | 0.690411i | ||||
\(67\) | −0.166394 | − | 1.15729i | −0.0203282 | − | 0.141386i | 0.977130 | − | 0.212644i | \(-0.0682076\pi\) |
−0.997458 | + | 0.0712585i | \(0.977298\pi\) | |||||||
\(68\) | 1.66292 | 0.201659 | ||||||||
\(69\) | 4.78958 | + | 0.244751i | 0.576598 | + | 0.0294646i | ||||
\(70\) | −5.11454 | −0.611304 | ||||||||
\(71\) | 0.910284 | + | 6.33116i | 0.108031 | + | 0.751371i | 0.969770 | + | 0.244020i | \(0.0784661\pi\) |
−0.861739 | + | 0.507351i | \(0.830625\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | 3.56349 | − | 1.04634i | 0.417075 | − | 0.122464i | −0.0664602 | − | 0.997789i | \(-0.521171\pi\) |
0.483536 | + | 0.875325i | \(0.339352\pi\) | |||||||
\(74\) | −4.51174 | + | 5.20683i | −0.524480 | + | 0.605282i | ||||
\(75\) | 0.959493 | + | 0.281733i | 0.110793 | + | 0.0325317i | ||||
\(76\) | −5.57121 | + | 3.58040i | −0.639062 | + | 0.410700i | ||||
\(77\) | −13.1009 | − | 28.6870i | −1.49299 | − | 3.26919i | ||||
\(78\) | 1.17208 | + | 1.35265i | 0.132711 | + | 0.153157i | ||||
\(79\) | −4.73008 | − | 3.03984i | −0.532176 | − | 0.342008i | 0.246796 | − | 0.969067i | \(-0.420622\pi\) |
−0.778972 | + | 0.627059i | \(0.784259\pi\) | |||||||
\(80\) | −0.142315 | + | 0.989821i | −0.0159113 | + | 0.110665i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −7.02738 | − | 4.51622i | −0.776044 | − | 0.498733i | ||||
\(83\) | 4.22002 | + | 4.87017i | 0.463208 | + | 0.534570i | 0.938510 | − | 0.345252i | \(-0.112207\pi\) |
−0.475302 | + | 0.879823i | \(0.657661\pi\) | |||||||
\(84\) | −2.12466 | − | 4.65235i | −0.231819 | − | 0.507613i | ||||
\(85\) | 1.39894 | − | 0.899042i | 0.151736 | − | 0.0975148i | ||||
\(86\) | −12.4712 | − | 3.66186i | −1.34480 | − | 0.394869i | ||||
\(87\) | 2.80396 | − | 3.23594i | 0.300616 | − | 0.346929i | ||||
\(88\) | −5.91637 | + | 1.73720i | −0.630687 | + | 0.185187i | ||||
\(89\) | 1.04410 | − | 2.28626i | 0.110674 | − | 0.242343i | −0.846188 | − | 0.532884i | \(-0.821108\pi\) |
0.956862 | + | 0.290541i | \(0.0938354\pi\) | |||||||
\(90\) | 0.142315 | + | 0.989821i | 0.0150013 | + | 0.104336i | ||||
\(91\) | −9.15405 | −0.959605 | ||||||||
\(92\) | 2.95154 | + | 3.78000i | 0.307719 | + | 0.394093i | ||||
\(93\) | 1.61967 | 0.167952 | ||||||||
\(94\) | 1.38207 | + | 9.61248i | 0.142549 | + | 0.991452i | ||||
\(95\) | −2.75109 | + | 6.02405i | −0.282256 | + | 0.618055i | ||||
\(96\) | −0.959493 | + | 0.281733i | −0.0979278 | + | 0.0287542i | ||||
\(97\) | 3.42386 | − | 3.95135i | 0.347641 | − | 0.401199i | −0.554820 | − | 0.831970i | \(-0.687213\pi\) |
0.902461 | + | 0.430771i | \(0.141758\pi\) | |||||||
\(98\) | 18.3824 | + | 5.39757i | 1.85691 | + | 0.545237i | ||||
\(99\) | −5.18729 | + | 3.33367i | −0.521342 | + | 0.335046i | ||||
\(100\) | 0.415415 | + | 0.909632i | 0.0415415 | + | 0.0909632i | ||||
\(101\) | −2.88438 | − | 3.32875i | −0.287007 | − | 0.331223i | 0.593877 | − | 0.804556i | \(-0.297596\pi\) |
−0.880884 | + | 0.473332i | \(0.843051\pi\) | |||||||
\(102\) | 1.39894 | + | 0.899042i | 0.138515 | + | 0.0890184i | ||||
\(103\) | 1.29711 | − | 9.02163i | 0.127808 | − | 0.888927i | −0.820516 | − | 0.571624i | \(-0.806314\pi\) |
0.948324 | − | 0.317303i | \(-0.102777\pi\) | |||||||
\(104\) | −0.254716 | + | 1.77159i | −0.0249770 | + | 0.173719i | ||||
\(105\) | −4.30262 | − | 2.76513i | −0.419893 | − | 0.269849i | ||||
\(106\) | 2.43427 | + | 2.80929i | 0.236437 | + | 0.272863i | ||||
\(107\) | 1.14039 | + | 2.49710i | 0.110245 | + | 0.241404i | 0.956711 | − | 0.291040i | \(-0.0940012\pi\) |
−0.846466 | + | 0.532443i | \(0.821274\pi\) | |||||||
\(108\) | −0.841254 | + | 0.540641i | −0.0809497 | + | 0.0520232i | ||||
\(109\) | −6.51247 | − | 1.91223i | −0.623782 | − | 0.183159i | −0.0454581 | − | 0.998966i | \(-0.514475\pi\) |
−0.578324 | + | 0.815807i | \(0.696293\pi\) | |||||||
\(110\) | −4.03797 | + | 4.66006i | −0.385005 | + | 0.444319i | ||||
\(111\) | −6.61055 | + | 1.94103i | −0.627445 | + | 0.184235i | ||||
\(112\) | 2.12466 | − | 4.65235i | 0.200761 | − | 0.439605i | ||||
\(113\) | −0.0204510 | − | 0.142240i | −0.00192386 | − | 0.0133808i | 0.988837 | − | 0.149002i | \(-0.0476061\pi\) |
−0.990761 | + | 0.135621i | \(0.956697\pi\) | |||||||
\(114\) | −6.62251 | −0.620255 | ||||||||
\(115\) | 4.52662 | + | 1.58422i | 0.422109 | + | 0.147729i | ||||
\(116\) | 4.28176 | 0.397551 | ||||||||
\(117\) | 0.254716 | + | 1.77159i | 0.0235485 | + | 0.163784i | ||||
\(118\) | 2.69121 | − | 5.89292i | 0.247746 | − | 0.542487i | ||||
\(119\) | −8.16055 | + | 2.39615i | −0.748076 | + | 0.219655i | ||||
\(120\) | −0.654861 | + | 0.755750i | −0.0597803 | + | 0.0689902i | ||||
\(121\) | −25.9268 | − | 7.61279i | −2.35698 | − | 0.692072i | ||||
\(122\) | −5.59814 | + | 3.59770i | −0.506831 | + | 0.325721i | ||||
\(123\) | −3.47015 | − | 7.59857i | −0.312893 | − | 0.685140i | ||||
\(124\) | 1.06066 | + | 1.22407i | 0.0952501 | + | 0.109924i | ||||
\(125\) | 0.841254 | + | 0.540641i | 0.0752440 | + | 0.0483564i | ||||
\(126\) | 0.727875 | − | 5.06248i | 0.0648442 | − | 0.451001i | ||||
\(127\) | 0.161686 | − | 1.12455i | 0.0143473 | − | 0.0997877i | −0.981389 | − | 0.192028i | \(-0.938494\pi\) |
0.995737 | + | 0.0922401i | \(0.0294027\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | −8.51165 | − | 9.82297i | −0.749409 | − | 0.864864i | ||||
\(130\) | 0.743514 | + | 1.62807i | 0.0652104 | + | 0.142791i | ||||
\(131\) | −7.84965 | + | 5.04466i | −0.685827 | + | 0.440754i | −0.836600 | − | 0.547814i | \(-0.815460\pi\) |
0.150773 | + | 0.988568i | \(0.451824\pi\) | |||||||
\(132\) | −5.91637 | − | 1.73720i | −0.514954 | − | 0.151204i | ||||
\(133\) | 22.1808 | − | 25.5981i | 1.92332 | − | 2.21963i | ||||
\(134\) | 1.12183 | − | 0.329400i | 0.0969117 | − | 0.0284558i | ||||
\(135\) | −0.415415 | + | 0.909632i | −0.0357532 | + | 0.0782887i | ||||
\(136\) | 0.236658 | + | 1.64599i | 0.0202933 | + | 0.141143i | ||||
\(137\) | 17.9958 | 1.53749 | 0.768743 | − | 0.639557i | \(-0.220882\pi\) | ||||
0.768743 | + | 0.639557i | \(0.220882\pi\) | |||||||
\(138\) | 0.439369 | + | 4.77566i | 0.0374015 | + | 0.406531i | ||||
\(139\) | 21.7368 | 1.84369 | 0.921845 | − | 0.387558i | \(-0.126681\pi\) | ||||
0.921845 | + | 0.387558i | \(0.126681\pi\) | |||||||
\(140\) | −0.727875 | − | 5.06248i | −0.0615166 | − | 0.427858i | ||||
\(141\) | −4.03423 | + | 8.83374i | −0.339744 | + | 0.743935i | ||||
\(142\) | −6.13717 | + | 1.80204i | −0.515020 | + | 0.151224i | ||||
\(143\) | −7.22719 | + | 8.34062i | −0.604368 | + | 0.697478i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | 3.60204 | − | 2.31489i | 0.299133 | − | 0.192241i | ||||
\(146\) | 1.54282 | + | 3.37831i | 0.127685 | + | 0.279591i | ||||
\(147\) | 12.5461 | + | 14.4790i | 1.03479 | + | 1.19421i | ||||
\(148\) | −5.79592 | − | 3.72481i | −0.476422 | − | 0.306178i | ||||
\(149\) | −2.72811 | + | 18.9744i | −0.223495 | + | 1.55444i | 0.501174 | + | 0.865347i | \(0.332902\pi\) |
−0.724669 | + | 0.689097i | \(0.758007\pi\) | |||||||
\(150\) | −0.142315 | + | 0.989821i | −0.0116200 | + | 0.0808186i | ||||
\(151\) | −2.27569 | − | 1.46250i | −0.185193 | − | 0.119017i | 0.444759 | − | 0.895650i | \(-0.353289\pi\) |
−0.629952 | + | 0.776634i | \(0.716926\pi\) | |||||||
\(152\) | −4.33682 | − | 5.00496i | −0.351763 | − | 0.405956i | ||||
\(153\) | 0.690802 | + | 1.51264i | 0.0558480 | + | 0.122290i | ||||
\(154\) | 26.5306 | − | 17.0502i | 2.13790 | − | 1.37394i | ||||
\(155\) | 1.55406 | + | 0.456315i | 0.124825 | + | 0.0366521i | ||||
\(156\) | −1.17208 | + | 1.35265i | −0.0938412 | + | 0.108298i | ||||
\(157\) | 9.30164 | − | 2.73121i | 0.742352 | − | 0.217974i | 0.111378 | − | 0.993778i | \(-0.464474\pi\) |
0.630974 | + | 0.775804i | \(0.282655\pi\) | |||||||
\(158\) | 2.33574 | − | 5.11455i | 0.185821 | − | 0.406892i | ||||
\(159\) | 0.529016 | + | 3.67939i | 0.0419537 | + | 0.291795i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −19.9310 | − | 14.2969i | −1.57078 | − | 1.12675i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 0.893813 | + | 6.21661i | 0.0700088 | + | 0.486922i | 0.994417 | + | 0.105518i | \(0.0336502\pi\) |
−0.924409 | + | 0.381404i | \(0.875441\pi\) | |||||||
\(164\) | 3.47015 | − | 7.59857i | 0.270973 | − | 0.593349i | ||||
\(165\) | −5.91637 | + | 1.73720i | −0.460589 | + | 0.135241i | ||||
\(166\) | −4.22002 | + | 4.87017i | −0.327537 | + | 0.377998i | ||||
\(167\) | −6.45420 | − | 1.89512i | −0.499441 | − | 0.146649i | 0.0223031 | − | 0.999751i | \(-0.492900\pi\) |
−0.521744 | + | 0.853102i | \(0.674718\pi\) | |||||||
\(168\) | 4.30262 | − | 2.76513i | 0.331955 | − | 0.213334i | ||||
\(169\) | −4.06965 | − | 8.91129i | −0.313050 | − | 0.685484i | ||||
\(170\) | 1.08898 | + | 1.25675i | 0.0835210 | + | 0.0963884i | ||||
\(171\) | −5.57121 | − | 3.58040i | −0.426041 | − | 0.273800i | ||||
\(172\) | 1.84976 | − | 12.8654i | 0.141043 | − | 0.980974i | ||||
\(173\) | −3.60369 | + | 25.0642i | −0.273984 | + | 1.90560i | 0.131188 | + | 0.991357i | \(0.458121\pi\) |
−0.405172 | + | 0.914241i | \(0.632788\pi\) | |||||||
\(174\) | 3.60204 | + | 2.31489i | 0.273070 | + | 0.175492i | ||||
\(175\) | −3.34931 | − | 3.86531i | −0.253184 | − | 0.292190i | ||||
\(176\) | −2.56151 | − | 5.60892i | −0.193081 | − | 0.422788i | ||||
\(177\) | 5.44994 | − | 3.50246i | 0.409643 | − | 0.263261i | ||||
\(178\) | 2.41158 | + | 0.708104i | 0.180756 | + | 0.0530746i | ||||
\(179\) | −9.19122 | + | 10.6072i | −0.686984 | + | 0.792821i | −0.986933 | − | 0.161134i | \(-0.948485\pi\) |
0.299949 | + | 0.953955i | \(0.403030\pi\) | |||||||
\(180\) | −0.959493 | + | 0.281733i | −0.0715164 | + | 0.0209991i | ||||
\(181\) | 5.26373 | − | 11.5260i | 0.391250 | − | 0.856718i | −0.606833 | − | 0.794829i | \(-0.707560\pi\) |
0.998083 | − | 0.0618886i | \(-0.0197123\pi\) | |||||||
\(182\) | −1.30276 | − | 9.06087i | −0.0965667 | − | 0.671636i | ||||
\(183\) | −6.65452 | −0.491916 | ||||||||
\(184\) | −3.32148 | + | 3.45945i | −0.244863 | + | 0.255034i | ||||
\(185\) | −6.88962 | −0.506535 | ||||||||
\(186\) | 0.230503 | + | 1.60319i | 0.0169013 | + | 0.117551i | ||||
\(187\) | −4.25958 | + | 9.32718i | −0.311492 | + | 0.682071i | ||||
\(188\) | −9.31795 | + | 2.73600i | −0.679582 | + | 0.199543i | ||||
\(189\) | 3.34931 | − | 3.86531i | 0.243626 | − | 0.281160i | ||||
\(190\) | −6.35426 | − | 1.86578i | −0.460986 | − | 0.135358i | ||||
\(191\) | −0.359597 | + | 0.231099i | −0.0260195 | + | 0.0167217i | −0.553586 | − | 0.832792i | \(-0.686741\pi\) |
0.527566 | + | 0.849514i | \(0.323105\pi\) | |||||||
\(192\) | −0.415415 | − | 0.909632i | −0.0299800 | − | 0.0656470i | ||||
\(193\) | 8.01079 | + | 9.24495i | 0.576629 | + | 0.665466i | 0.966877 | − | 0.255244i | \(-0.0821559\pi\) |
−0.390247 | + | 0.920710i | \(0.627610\pi\) | |||||||
\(194\) | 4.39840 | + | 2.82668i | 0.315787 | + | 0.202944i | ||||
\(195\) | −0.254716 | + | 1.77159i | −0.0182406 | + | 0.126866i | ||||
\(196\) | −2.72654 | + | 18.9635i | −0.194753 | + | 1.35453i | ||||
\(197\) | 14.3933 | + | 9.25002i | 1.02548 | + | 0.659037i | 0.941355 | − | 0.337418i | \(-0.109554\pi\) |
0.0841263 | + | 0.996455i | \(0.473190\pi\) | |||||||
\(198\) | −4.03797 | − | 4.66006i | −0.286966 | − | 0.331176i | ||||
\(199\) | 6.58923 | + | 14.4284i | 0.467098 | + | 1.02280i | 0.985812 | + | 0.167854i | \(0.0536837\pi\) |
−0.518714 | + | 0.854948i | \(0.673589\pi\) | |||||||
\(200\) | −0.841254 | + | 0.540641i | −0.0594856 | + | 0.0382291i | ||||
\(201\) | 1.12183 | + | 0.329400i | 0.0791280 | + | 0.0232341i | ||||
\(202\) | 2.88438 | − | 3.32875i | 0.202944 | − | 0.234210i | ||||
\(203\) | −21.0121 | + | 6.16972i | −1.47476 | + | 0.433030i | ||||
\(204\) | −0.690802 | + | 1.51264i | −0.0483658 | + | 0.105906i | ||||
\(205\) | −1.18882 | − | 8.26843i | −0.0830309 | − | 0.577492i | ||||
\(206\) | 9.11440 | 0.635030 | ||||||||
\(207\) | −2.21230 | + | 4.25508i | −0.153765 | + | 0.295749i | ||||
\(208\) | −1.78981 | −0.124101 | ||||||||
\(209\) | −5.81148 | − | 40.4197i | −0.401988 | − | 2.79589i | ||||
\(210\) | 2.12466 | − | 4.65235i | 0.146615 | − | 0.321042i | ||||
\(211\) | −10.2887 | + | 3.02102i | −0.708300 | + | 0.207976i | −0.615989 | − | 0.787754i | \(-0.711244\pi\) |
−0.0923110 | + | 0.995730i | \(0.529425\pi\) | |||||||
\(212\) | −2.43427 | + | 2.80929i | −0.167186 | + | 0.192943i | ||||
\(213\) | −6.13717 | − | 1.80204i | −0.420512 | − | 0.123474i | ||||
\(214\) | −2.30939 | + | 1.48415i | −0.157867 | + | 0.101455i | ||||
\(215\) | −5.39942 | − | 11.8231i | −0.368237 | − | 0.806328i | ||||
\(216\) | −0.654861 | − | 0.755750i | −0.0445576 | − | 0.0514222i | ||||
\(217\) | −6.96884 | − | 4.47860i | −0.473076 | − | 0.304027i | ||||
\(218\) | 0.965949 | − | 6.71832i | 0.0654223 | − | 0.455022i | ||||
\(219\) | −0.528548 | + | 3.67613i | −0.0357160 | + | 0.248410i | ||||
\(220\) | −5.18729 | − | 3.33367i | −0.349727 | − | 0.224756i | ||||
\(221\) | 1.94907 | + | 2.24934i | 0.131108 | + | 0.151307i | ||||
\(222\) | −2.86205 | − | 6.26702i | −0.192088 | − | 0.420615i | ||||
\(223\) | −4.25609 | + | 2.73522i | −0.285009 | + | 0.183164i | −0.675332 | − | 0.737514i | \(-0.736000\pi\) |
0.390323 | + | 0.920678i | \(0.372363\pi\) | |||||||
\(224\) | 4.90736 | + | 1.44093i | 0.327887 | + | 0.0962763i | ||||
\(225\) | −0.654861 | + | 0.755750i | −0.0436574 | + | 0.0503833i | ||||
\(226\) | 0.137881 | − | 0.0404856i | 0.00917173 | − | 0.00269306i | ||||
\(227\) | 9.32891 | − | 20.4275i | 0.619182 | − | 1.35582i | −0.296931 | − | 0.954899i | \(-0.595963\pi\) |
0.916113 | − | 0.400920i | \(-0.131309\pi\) | |||||||
\(228\) | −0.942482 | − | 6.55511i | −0.0624174 | − | 0.434122i | ||||
\(229\) | −24.7812 | −1.63759 | −0.818795 | − | 0.574086i | \(-0.805357\pi\) | ||||
−0.818795 | + | 0.574086i | \(0.805357\pi\) | |||||||
\(230\) | −0.923889 | + | 4.70600i | −0.0609194 | + | 0.310304i | ||||
\(231\) | 31.5370 | 2.07498 | ||||||||
\(232\) | 0.609358 | + | 4.23818i | 0.0400063 | + | 0.278250i | ||||
\(233\) | 5.55582 | − | 12.1655i | 0.363974 | − | 0.796991i | −0.635712 | − | 0.771926i | \(-0.719293\pi\) |
0.999686 | − | 0.0250649i | \(-0.00797923\pi\) | |||||||
\(234\) | −1.71731 | + | 0.504247i | −0.112264 | + | 0.0329637i | ||||
\(235\) | −6.35957 | + | 7.33933i | −0.414853 | + | 0.478765i | ||||
\(236\) | 6.21594 | + | 1.82516i | 0.404623 | + | 0.118808i | ||||
\(237\) | 4.73008 | − | 3.03984i | 0.307252 | − | 0.197459i | ||||
\(238\) | −3.53313 | − | 7.73648i | −0.229019 | − | 0.501481i | ||||
\(239\) | 0.206167 | + | 0.237930i | 0.0133359 | + | 0.0153904i | 0.762378 | − | 0.647132i | \(-0.224032\pi\) |
−0.749042 | + | 0.662522i | \(0.769486\pi\) | |||||||
\(240\) | −0.841254 | − | 0.540641i | −0.0543027 | − | 0.0348982i | ||||
\(241\) | −1.32767 | + | 9.23413i | −0.0855226 | + | 0.594823i | 0.901322 | + | 0.433150i | \(0.142598\pi\) |
−0.986844 | + | 0.161673i | \(0.948311\pi\) | |||||||
\(242\) | 3.84554 | − | 26.7463i | 0.247201 | − | 1.71932i | ||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | −4.35778 | − | 5.02915i | −0.278978 | − | 0.321958i | ||||
\(245\) | 7.95873 | + | 17.4272i | 0.508464 | + | 1.11338i | ||||
\(246\) | 7.02738 | − | 4.51622i | 0.448049 | − | 0.287944i | ||||
\(247\) | −11.3729 | − | 3.33939i | −0.723641 | − | 0.212480i | ||||
\(248\) | −1.06066 | + | 1.22407i | −0.0673520 | + | 0.0777283i | ||||
\(249\) | −6.18312 | + | 1.81553i | −0.391839 | + | 0.115054i | ||||
\(250\) | −0.415415 | + | 0.909632i | −0.0262732 | + | 0.0575302i | ||||
\(251\) | 2.30752 | + | 16.0492i | 0.145650 | + | 1.01301i | 0.923235 | + | 0.384237i | \(0.125535\pi\) |
−0.777585 | + | 0.628778i | \(0.783556\pi\) | |||||||
\(252\) | 5.11454 | 0.322186 | ||||||||
\(253\) | −28.7621 | + | 6.87244i | −1.80826 | + | 0.432067i | ||||
\(254\) | 1.13611 | 0.0712862 | ||||||||
\(255\) | 0.236658 | + | 1.64599i | 0.0148201 | + | 0.103076i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 4.69240 | − | 1.37781i | 0.292704 | − | 0.0859457i | −0.132084 | − | 0.991239i | \(-0.542167\pi\) |
0.424788 | + | 0.905293i | \(0.360349\pi\) | |||||||
\(258\) | 8.51165 | − | 9.82297i | 0.529912 | − | 0.611552i | ||||
\(259\) | 33.8099 | + | 9.92748i | 2.10084 | + | 0.616863i | ||||
\(260\) | −1.50568 | + | 0.967644i | −0.0933785 | + | 0.0600107i | ||||
\(261\) | 1.77871 | + | 3.89482i | 0.110099 | + | 0.241084i | ||||
\(262\) | −6.11044 | − | 7.05182i | −0.377504 | − | 0.435663i | ||||
\(263\) | 16.8321 | + | 10.8174i | 1.03791 | + | 0.667027i | 0.944470 | − | 0.328598i | \(-0.106576\pi\) |
0.0934441 | + | 0.995625i | \(0.470212\pi\) | |||||||
\(264\) | 0.877534 | − | 6.10338i | 0.0540085 | − | 0.375637i | ||||
\(265\) | −0.529016 | + | 3.67939i | −0.0324972 | + | 0.226023i | ||||
\(266\) | 28.4942 | + | 18.3121i | 1.74709 | + | 1.12279i | ||||
\(267\) | 1.64592 | + | 1.89949i | 0.100729 | + | 0.116247i | ||||
\(268\) | 0.485701 | + | 1.06354i | 0.0296689 | + | 0.0649658i | ||||
\(269\) | 15.5465 | − | 9.99111i | 0.947885 | − | 0.609169i | 0.0272651 | − | 0.999628i | \(-0.491320\pi\) |
0.920620 | + | 0.390459i | \(0.127684\pi\) | |||||||
\(270\) | −0.959493 | − | 0.281733i | −0.0583929 | − | 0.0171457i | ||||
\(271\) | 10.4649 | − | 12.0771i | 0.635696 | − | 0.733633i | −0.342911 | − | 0.939368i | \(-0.611413\pi\) |
0.978608 | + | 0.205735i | \(0.0659585\pi\) | |||||||
\(272\) | −1.59556 | + | 0.468498i | −0.0967450 | + | 0.0284069i | ||||
\(273\) | 3.80273 | − | 8.32681i | 0.230152 | − | 0.503962i | ||||
\(274\) | 2.56107 | + | 17.8126i | 0.154720 | + | 1.07610i | ||||
\(275\) | −6.16614 | −0.371833 | ||||||||
\(276\) | −4.66452 | + | 1.11454i | −0.280771 | + | 0.0670877i | ||||
\(277\) | −12.6852 | −0.762177 | −0.381088 | − | 0.924539i | \(-0.624451\pi\) | ||||
−0.381088 | + | 0.924539i | \(0.624451\pi\) | |||||||
\(278\) | 3.09347 | + | 21.5155i | 0.185534 | + | 1.29042i | ||||
\(279\) | −0.672836 | + | 1.47331i | −0.0402817 | + | 0.0882045i | ||||
\(280\) | 4.90736 | − | 1.44093i | 0.293271 | − | 0.0861121i | ||||
\(281\) | 11.3225 | − | 13.0668i | 0.675442 | − | 0.779501i | −0.309776 | − | 0.950810i | \(-0.600254\pi\) |
0.985217 | + | 0.171308i | \(0.0547994\pi\) | |||||||
\(282\) | −9.31795 | − | 2.73600i | −0.554876 | − | 0.162926i | ||||
\(283\) | 7.68878 | − | 4.94128i | 0.457051 | − | 0.293729i | −0.291785 | − | 0.956484i | \(-0.594249\pi\) |
0.748836 | + | 0.662755i | \(0.230613\pi\) | |||||||
\(284\) | −2.65711 | − | 5.81825i | −0.157670 | − | 0.345250i | ||||
\(285\) | −4.33682 | − | 5.00496i | −0.256891 | − | 0.296468i | ||||
\(286\) | −9.28426 | − | 5.96663i | −0.548990 | − | 0.352814i | ||||
\(287\) | −6.08027 | + | 42.2892i | −0.358907 | + | 2.49625i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | −11.9750 | − | 7.69586i | −0.704411 | − | 0.452698i | ||||
\(290\) | 2.80396 | + | 3.23594i | 0.164654 | + | 0.190021i | ||||
\(291\) | 2.17195 | + | 4.75591i | 0.127322 | + | 0.278796i | ||||
\(292\) | −3.12436 | + | 2.00790i | −0.182839 | + | 0.117504i | ||||
\(293\) | 8.30101 | + | 2.43740i | 0.484950 | + | 0.142394i | 0.515063 | − | 0.857152i | \(-0.327769\pi\) |
−0.0301130 | + | 0.999547i | \(0.509587\pi\) | |||||||
\(294\) | −12.5461 | + | 14.4790i | −0.731706 | + | 0.844434i | ||||
\(295\) | 6.21594 | − | 1.82516i | 0.361906 | − | 0.106265i | ||||
\(296\) | 2.86205 | − | 6.26702i | 0.166353 | − | 0.364263i | ||||
\(297\) | −0.877534 | − | 6.10338i | −0.0509197 | − | 0.354154i | ||||
\(298\) | −19.1695 | −1.11046 | ||||||||
\(299\) | −1.65358 | + | 8.42284i | −0.0956292 | + | 0.487105i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 9.46066 | + | 65.8004i | 0.545304 | + | 3.79267i | ||||
\(302\) | 1.12375 | − | 2.46067i | 0.0646644 | − | 0.141595i | ||||
\(303\) | 4.22616 | − | 1.24091i | 0.242786 | − | 0.0712885i | ||||
\(304\) | 4.33682 | − | 5.00496i | 0.248734 | − | 0.287054i | ||||
\(305\) | −6.38496 | − | 1.87479i | −0.365602 | − | 0.107350i | ||||
\(306\) | −1.39894 | + | 0.899042i | −0.0799719 | + | 0.0513948i | ||||
\(307\) | 13.1279 | + | 28.7462i | 0.749251 | + | 1.64063i | 0.767707 | + | 0.640801i | \(0.221398\pi\) |
−0.0184563 | + | 0.999830i | \(0.505875\pi\) | |||||||
\(308\) | 20.6523 | + | 23.8341i | 1.17678 | + | 1.35807i | ||||
\(309\) | 7.66752 | + | 4.92762i | 0.436190 | + | 0.280322i | ||||
\(310\) | −0.230503 | + | 1.60319i | −0.0130917 | + | 0.0910549i | ||||
\(311\) | 2.86213 | − | 19.9065i | 0.162296 | − | 1.12880i | −0.731995 | − | 0.681310i | \(-0.761410\pi\) |
0.894291 | − | 0.447486i | \(-0.147680\pi\) | |||||||
\(312\) | −1.50568 | − | 0.967644i | −0.0852425 | − | 0.0547820i | ||||
\(313\) | −4.56559 | − | 5.26897i | −0.258063 | − | 0.297820i | 0.611903 | − | 0.790933i | \(-0.290404\pi\) |
−0.869965 | + | 0.493113i | \(0.835859\pi\) | |||||||
\(314\) | 4.02717 | + | 8.81827i | 0.227266 | + | 0.497644i | ||||
\(315\) | 4.30262 | − | 2.76513i | 0.242425 | − | 0.155797i | ||||
\(316\) | 5.39490 | + | 1.58409i | 0.303487 | + | 0.0891118i | ||||
\(317\) | −11.5193 | + | 13.2940i | −0.646988 | + | 0.746664i | −0.980594 | − | 0.196048i | \(-0.937189\pi\) |
0.333606 | + | 0.942713i | \(0.391735\pi\) | |||||||
\(318\) | −3.56665 | + | 1.04726i | −0.200008 | + | 0.0587276i | ||||
\(319\) | −10.9678 | + | 24.0160i | −0.614077 | + | 1.34464i | ||||
\(320\) | −0.142315 | − | 0.989821i | −0.00795564 | − | 0.0553327i | ||||
\(321\) | −2.74518 | −0.153221 | ||||||||
\(322\) | 11.3149 | − | 21.7628i | 0.630554 | − | 1.21279i | ||||
\(323\) | −11.0127 | −0.612763 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | −0.743514 | + | 1.62807i | −0.0412427 | + | 0.0903089i | ||||
\(326\) | −6.02613 | + | 1.76943i | −0.333756 | + | 0.0979997i | ||||
\(327\) | 4.44481 | − | 5.12958i | 0.245798 | − | 0.283667i | ||||
\(328\) | 8.01509 | + | 2.35344i | 0.442559 | + | 0.129947i | ||||
\(329\) | 41.7842 | − | 26.8531i | 2.30364 | − | 1.48046i | ||||
\(330\) | −2.56151 | − | 5.60892i | −0.141006 | − | 0.308761i | ||||
\(331\) | 10.7668 | + | 12.4256i | 0.591799 | + | 0.682973i | 0.970099 | − | 0.242710i | \(-0.0780365\pi\) |
−0.378299 | + | 0.925683i | \(0.623491\pi\) | |||||||
\(332\) | −5.42117 | − | 3.48397i | −0.297525 | − | 0.191208i | ||||
\(333\) | 0.980496 | − | 6.81950i | 0.0537308 | − | 0.373706i | ||||
\(334\) | 0.957306 | − | 6.65821i | 0.0523814 | − | 0.364321i | ||||
\(335\) | 0.983589 | + | 0.632114i | 0.0537392 | + | 0.0345361i | ||||
\(336\) | 3.34931 | + | 3.86531i | 0.182720 | + | 0.210870i | ||||
\(337\) | 13.5417 | + | 29.6521i | 0.737662 | + | 1.61526i | 0.787362 | + | 0.616491i | \(0.211446\pi\) |
−0.0496997 | + | 0.998764i | \(0.515826\pi\) | |||||||
\(338\) | 8.24141 | − | 5.29643i | 0.448274 | − | 0.288088i | ||||
\(339\) | 0.137881 | + | 0.0404856i | 0.00748869 | + | 0.00219888i | ||||
\(340\) | −1.08898 | + | 1.25675i | −0.0590583 | + | 0.0681569i | ||||
\(341\) | −9.58259 | + | 2.81370i | −0.518926 | + | 0.152370i | ||||
\(342\) | 2.75109 | − | 6.02405i | 0.148762 | − | 0.325743i | ||||
\(343\) | −8.84986 | − | 61.5521i | −0.477847 | − | 3.32350i | ||||
\(344\) | 12.9977 | 0.700787 | ||||||||
\(345\) | −3.32148 | + | 3.45945i | −0.178822 | + | 0.186250i | ||||
\(346\) | −25.3220 | −1.36132 | ||||||||
\(347\) | 0.0380499 | + | 0.264643i | 0.00204263 | + | 0.0142068i | 0.990817 | − | 0.135208i | \(-0.0431702\pi\) |
−0.988775 | + | 0.149415i | \(0.952261\pi\) | |||||||
\(348\) | −1.77871 | + | 3.89482i | −0.0953487 | + | 0.208784i | ||||
\(349\) | −15.6363 | + | 4.59122i | −0.836990 | + | 0.245763i | −0.672017 | − | 0.740536i | \(-0.734572\pi\) |
−0.164973 | + | 0.986298i | \(0.552754\pi\) | |||||||
\(350\) | 3.34931 | − | 3.86531i | 0.179028 | − | 0.206609i | ||||
\(351\) | −1.71731 | − | 0.504247i | −0.0916632 | − | 0.0269147i | ||||
\(352\) | 5.18729 | − | 3.33367i | 0.276484 | − | 0.177685i | ||||
\(353\) | 0.966587 | + | 2.11653i | 0.0514462 | + | 0.112652i | 0.933610 | − | 0.358292i | \(-0.116641\pi\) |
−0.882163 | + | 0.470944i | \(0.843914\pi\) | |||||||
\(354\) | 4.24242 | + | 4.89602i | 0.225482 | + | 0.260220i | ||||
\(355\) | −5.38088 | − | 3.45808i | −0.285588 | − | 0.183536i | ||||
\(356\) | −0.357693 | + | 2.48781i | −0.0189577 | + | 0.131854i | ||||
\(357\) | 1.21040 | − | 8.41849i | 0.0640610 | − | 0.445554i | ||||
\(358\) | −11.8073 | − | 7.58810i | −0.624036 | − | 0.401043i | ||||
\(359\) | −12.3529 | − | 14.2560i | −0.651960 | − | 0.752402i | 0.329482 | − | 0.944162i | \(-0.393126\pi\) |
−0.981442 | + | 0.191760i | \(0.938581\pi\) | |||||||
\(360\) | −0.415415 | − | 0.909632i | −0.0218943 | − | 0.0479418i | ||||
\(361\) | 20.9116 | − | 13.4391i | 1.10061 | − | 0.707320i | ||||
\(362\) | 12.1577 | + | 3.56984i | 0.638997 | + | 0.187626i | ||||
\(363\) | 17.6952 | − | 20.4214i | 0.928758 | − | 1.07184i | ||||
\(364\) | 8.78324 | − | 2.57899i | 0.460367 | − | 0.135176i | ||||
\(365\) | −1.54282 | + | 3.37831i | −0.0807551 | + | 0.176829i | ||||
\(366\) | −0.947037 | − | 6.58678i | −0.0495024 | − | 0.344297i | ||||
\(367\) | −9.02677 | −0.471194 | −0.235597 | − | 0.971851i | \(-0.575705\pi\) | ||||
−0.235597 | + | 0.971851i | \(0.575705\pi\) | |||||||
\(368\) | −3.89693 | − | 2.79534i | −0.203142 | − | 0.145717i | ||||
\(369\) | 8.35346 | 0.434864 | ||||||||
\(370\) | −0.980496 | − | 6.81950i | −0.0509735 | − | 0.354529i | ||||
\(371\) | 7.89783 | − | 17.2938i | 0.410035 | − | 0.897851i | ||||
\(372\) | −1.55406 | + | 0.456315i | −0.0805745 | + | 0.0236588i | ||||
\(373\) | −9.64245 | + | 11.1280i | −0.499267 | + | 0.576185i | −0.948318 | − | 0.317321i | \(-0.897217\pi\) |
0.449051 | + | 0.893506i | \(0.351762\pi\) | |||||||
\(374\) | −9.83845 | − | 2.88883i | −0.508734 | − | 0.149378i | ||||
\(375\) | −0.841254 | + | 0.540641i | −0.0434421 | + | 0.0279186i | ||||
\(376\) | −4.03423 | − | 8.83374i | −0.208050 | − | 0.455565i | ||||
\(377\) | 5.01854 | + | 5.79171i | 0.258468 | + | 0.298288i | ||||
\(378\) | 4.30262 | + | 2.76513i | 0.221303 | + | 0.142223i | ||||
\(379\) | −1.60338 | + | 11.1518i | −0.0823602 | + | 0.572828i | 0.906297 | + | 0.422641i | \(0.138897\pi\) |
−0.988658 | + | 0.150187i | \(0.952012\pi\) | |||||||
\(380\) | 0.942482 | − | 6.55511i | 0.0483483 | − | 0.336270i | ||||
\(381\) | 0.955760 | + | 0.614230i | 0.0489651 | + | 0.0314679i | ||||
\(382\) | −0.279923 | − | 0.323048i | −0.0143221 | − | 0.0165286i | ||||
\(383\) | 3.03726 | + | 6.65067i | 0.155197 | + | 0.339834i | 0.971219 | − | 0.238186i | \(-0.0765529\pi\) |
−0.816023 | + | 0.578020i | \(0.803826\pi\) | |||||||
\(384\) | 0.841254 | − | 0.540641i | 0.0429300 | − | 0.0275895i | ||||
\(385\) | 30.2595 | + | 8.88499i | 1.54217 | + | 0.452821i | ||||
\(386\) | −8.01079 | + | 9.24495i | −0.407739 | + | 0.470555i | ||||
\(387\) | 12.4712 | − | 3.66186i | 0.633945 | − | 0.186143i | ||||
\(388\) | −2.17195 | + | 4.75591i | −0.110264 | + | 0.241445i | ||||
\(389\) | −0.290327 | − | 2.01927i | −0.0147201 | − | 0.102381i | 0.981137 | − | 0.193315i | \(-0.0619239\pi\) |
−0.995857 | + | 0.0909340i | \(0.971015\pi\) | |||||||
\(390\) | −1.78981 | −0.0906305 | ||||||||
\(391\) | 0.730634 | + | 7.94154i | 0.0369498 | + | 0.401621i | ||||
\(392\) | −19.1585 | −0.967650 | ||||||||
\(393\) | −1.32793 | − | 9.23592i | −0.0669850 | − | 0.465891i | ||||
\(394\) | −7.10749 | + | 15.5632i | −0.358070 | + | 0.784064i | ||||
\(395\) | 5.39490 | − | 1.58409i | 0.271447 | − | 0.0797040i | ||||
\(396\) | 4.03797 | − | 4.66006i | 0.202915 | − | 0.234177i | ||||
\(397\) | −0.0886769 | − | 0.0260379i | −0.00445057 | − | 0.00130680i | 0.279507 | − | 0.960144i | \(-0.409829\pi\) |
−0.283957 | + | 0.958837i | \(0.591647\pi\) | |||||||
\(398\) | −13.3438 | + | 8.57553i | −0.668864 | + | 0.429853i | ||||
\(399\) | 14.0706 | + | 30.8102i | 0.704409 | + | 1.54244i | ||||
\(400\) | −0.654861 | − | 0.755750i | −0.0327430 | − | 0.0377875i | ||||
\(401\) | −16.0700 | − | 10.3276i | −0.802497 | − | 0.515733i | 0.0739330 | − | 0.997263i | \(-0.476445\pi\) |
−0.876430 | + | 0.481530i | \(0.840081\pi\) | |||||||
\(402\) | −0.166394 | + | 1.15729i | −0.00829896 | + | 0.0577206i | ||||
\(403\) | −0.412557 | + | 2.86940i | −0.0205509 | + | 0.142935i | ||||
\(404\) | 3.70536 | + | 2.38129i | 0.184349 | + | 0.118474i | ||||
\(405\) | −0.654861 | − | 0.755750i | −0.0325403 | − | 0.0375535i | ||||
\(406\) | −9.09726 | − | 19.9202i | −0.451490 | − | 0.988624i | ||||
\(407\) | 35.7385 | − | 22.9677i | 1.77149 | − | 1.13847i | ||||
\(408\) | −1.59556 | − | 0.468498i | −0.0789919 | − | 0.0231941i | ||||
\(409\) | −12.8467 | + | 14.8259i | −0.635230 | + | 0.733094i | −0.978524 | − | 0.206134i | \(-0.933912\pi\) |
0.343294 | + | 0.939228i | \(0.388457\pi\) | |||||||
\(410\) | 8.01509 | − | 2.35344i | 0.395837 | − | 0.116228i | ||||
\(411\) | −7.47573 | + | 16.3696i | −0.368751 | + | 0.807452i | ||||
\(412\) | 1.29711 | + | 9.02163i | 0.0639042 | + | 0.444464i | ||||
\(413\) | −33.1338 | −1.63041 | ||||||||
\(414\) | −4.52662 | − | 1.58422i | −0.222471 | − | 0.0778601i | ||||
\(415\) | −6.44415 | −0.316331 | ||||||||
\(416\) | −0.254716 | − | 1.77159i | −0.0124885 | − | 0.0868594i | ||||
\(417\) | −9.02979 | + | 19.7725i | −0.442191 | + | 0.968263i | ||||
\(418\) | 39.1813 | − | 11.5047i | 1.91642 | − | 0.562711i | ||||
\(419\) | 9.29774 | − | 10.7302i | 0.454224 | − | 0.524203i | −0.481732 | − | 0.876319i | \(-0.659992\pi\) |
0.935957 | + | 0.352116i | \(0.114538\pi\) | |||||||
\(420\) | 4.90736 | + | 1.44093i | 0.239455 | + | 0.0703103i | ||||
\(421\) | 6.06829 | − | 3.89986i | 0.295751 | − | 0.190067i | −0.384347 | − | 0.923189i | \(-0.625574\pi\) |
0.680098 | + | 0.733121i | \(0.261937\pi\) | |||||||
\(422\) | −4.45450 | − | 9.75400i | −0.216842 | − | 0.474817i | ||||
\(423\) | −6.35957 | − | 7.33933i | −0.309213 | − | 0.356851i | ||||
\(424\) | −3.12713 | − | 2.00968i | −0.151867 | − | 0.0975989i | ||||
\(425\) | −0.236658 | + | 1.64599i | −0.0114796 | + | 0.0798424i | ||||
\(426\) | 0.910284 | − | 6.33116i | 0.0441034 | − | 0.306746i | ||||
\(427\) | 28.6319 | + | 18.4006i | 1.38559 | + | 0.890467i | ||||
\(428\) | −1.79771 | − | 2.07467i | −0.0868955 | − | 0.100283i | ||||
\(429\) | −4.58461 | − | 10.0389i | −0.221347 | − | 0.484683i | ||||
\(430\) | 10.9343 | − | 7.02706i | 0.527300 | − | 0.338875i | ||||
\(431\) | −25.1735 | − | 7.39160i | −1.21256 | − | 0.356041i | −0.387920 | − | 0.921693i | \(-0.626806\pi\) |
−0.824644 | + | 0.565652i | \(0.808625\pi\) | |||||||
\(432\) | 0.654861 | − | 0.755750i | 0.0315070 | − | 0.0363610i | ||||
\(433\) | −5.80119 | + | 1.70338i | −0.278787 | + | 0.0818594i | −0.418137 | − | 0.908384i | \(-0.637317\pi\) |
0.139350 | + | 0.990243i | \(0.455499\pi\) | |||||||
\(434\) | 3.44125 | − | 7.53528i | 0.165185 | − | 0.361705i | ||||
\(435\) | 0.609358 | + | 4.23818i | 0.0292165 | + | 0.203205i | ||||
\(436\) | 6.78741 | 0.325058 | ||||||||
\(437\) | −19.5466 | − | 25.0331i | −0.935041 | − | 1.19750i | ||||
\(438\) | −3.71393 | −0.177459 | ||||||||
\(439\) | −3.02749 | − | 21.0567i | −0.144494 | − | 1.00498i | −0.925037 | − | 0.379877i | \(-0.875966\pi\) |
0.780543 | − | 0.625102i | \(-0.214943\pi\) | |||||||
\(440\) | 2.56151 | − | 5.60892i | 0.122115 | − | 0.267395i | ||||
\(441\) | −18.3824 | + | 5.39757i | −0.875354 | + | 0.257027i | ||||
\(442\) | −1.94907 | + | 2.24934i | −0.0927077 | + | 0.106990i | ||||
\(443\) | 6.71539 | + | 1.97182i | 0.319058 | + | 0.0936839i | 0.437340 | − | 0.899296i | \(-0.355921\pi\) |
−0.118282 | + | 0.992980i | \(0.537739\pi\) | |||||||
\(444\) | 5.79592 | − | 3.72481i | 0.275062 | − | 0.176772i | ||||
\(445\) | 1.04410 | + | 2.28626i | 0.0494951 | + | 0.108379i | ||||
\(446\) | −3.31308 | − | 3.82350i | −0.156879 | − | 0.181048i | ||||
\(447\) | −16.1264 | − | 10.3638i | −0.762754 | − | 0.490192i | ||||
\(448\) | −0.727875 | + | 5.06248i | −0.0343888 | + | 0.239180i | ||||
\(449\) | −3.63804 | + | 25.3031i | −0.171690 | + | 1.19413i | 0.703624 | + | 0.710573i | \(0.251564\pi\) |
−0.875314 | + | 0.483556i | \(0.839345\pi\) | |||||||
\(450\) | −0.841254 | − | 0.540641i | −0.0396571 | − | 0.0254861i | ||||
\(451\) | 33.7310 | + | 38.9276i | 1.58833 | + | 1.83303i | ||||
\(452\) | 0.0596961 | + | 0.130716i | 0.00280787 | + | 0.00614837i | ||||
\(453\) | 2.27569 | − | 1.46250i | 0.106921 | − | 0.0687142i | ||||
\(454\) | 21.5472 | + | 6.32683i | 1.01126 | + | 0.296933i | ||||
\(455\) | 5.99462 | − | 6.91817i | 0.281032 | − | 0.324329i | ||||
\(456\) | 6.35426 | − | 1.86578i | 0.297565 | − | 0.0873730i | ||||
\(457\) | −5.36804 | + | 11.7544i | −0.251106 | + | 0.549847i | −0.992645 | − | 0.121064i | \(-0.961369\pi\) |
0.741538 | + | 0.670911i | \(0.234097\pi\) | |||||||
\(458\) | −3.52674 | − | 24.5290i | −0.164794 | − | 1.14616i | ||||
\(459\) | −1.66292 | −0.0776184 | ||||||||
\(460\) | −4.78958 | − | 0.244751i | −0.223315 | − | 0.0114116i | ||||
\(461\) | −8.30672 | −0.386882 | −0.193441 | − | 0.981112i | \(-0.561965\pi\) | ||||
−0.193441 | + | 0.981112i | \(0.561965\pi\) | |||||||
\(462\) | 4.48818 | + | 31.2160i | 0.208809 | + | 1.45230i | ||||
\(463\) | −13.3226 | + | 29.1725i | −0.619156 | + | 1.35576i | 0.296976 | + | 0.954885i | \(0.404022\pi\) |
−0.916132 | + | 0.400877i | \(0.868705\pi\) | |||||||
\(464\) | −4.10832 | + | 1.20631i | −0.190724 | + | 0.0560016i | ||||
\(465\) | −1.06066 | + | 1.22407i | −0.0491869 | + | 0.0567647i | ||||
\(466\) | 12.8324 | + | 3.76793i | 0.594449 | + | 0.174546i | ||||
\(467\) | −15.5129 | + | 9.96954i | −0.717852 | + | 0.461335i | −0.847889 | − | 0.530174i | \(-0.822127\pi\) |
0.130037 | + | 0.991509i | \(0.458490\pi\) | |||||||
\(468\) | −0.743514 | − | 1.62807i | −0.0343689 | − | 0.0752574i | ||||
\(469\) | −3.91599 | − | 4.51930i | −0.180824 | − | 0.208682i | ||||
\(470\) | −8.16969 | − | 5.25034i | −0.376840 | − | 0.242180i | ||||
\(471\) | −1.37965 | + | 9.59566i | −0.0635708 | + | 0.442145i | ||||
\(472\) | −0.921966 | + | 6.41242i | −0.0424369 | + | 0.295155i | ||||
\(473\) | 67.4226 | + | 43.3299i | 3.10010 | + | 1.99231i | ||||
\(474\) | 3.68206 | + | 4.24932i | 0.169122 | + | 0.195178i | ||||
\(475\) | −2.75109 | − | 6.02405i | −0.126229 | − | 0.276402i | ||||
\(476\) | 7.15491 | − | 4.59818i | 0.327945 | − | 0.210757i | ||||
\(477\) | −3.56665 | − | 1.04726i | −0.163306 | − | 0.0479509i | ||||
\(478\) | −0.206167 | + | 0.237930i | −0.00942987 | + | 0.0108827i | ||||
\(479\) | 17.0231 | − | 4.99844i | 0.777806 | − | 0.228385i | 0.131351 | − | 0.991336i | \(-0.458069\pi\) |
0.646456 | + | 0.762951i | \(0.276250\pi\) | |||||||
\(480\) | 0.415415 | − | 0.909632i | 0.0189610 | − | 0.0415188i | ||||
\(481\) | −1.75490 | − | 12.2056i | −0.0800166 | − | 0.556527i | ||||
\(482\) | −9.32909 | −0.424928 | ||||||||
\(483\) | 21.2845 | − | 12.1907i | 0.968480 | − | 0.554698i | ||||
\(484\) | 27.0213 | 1.22824 | ||||||||
\(485\) | 0.744077 | + | 5.17517i | 0.0337868 | + | 0.234992i | ||||
\(486\) | 0.415415 | − | 0.909632i | 0.0188436 | − | 0.0412617i | ||||
\(487\) | −1.55651 | + | 0.457033i | −0.0705323 | + | 0.0207101i | −0.316808 | − | 0.948490i | \(-0.602611\pi\) |
0.246276 | + | 0.969200i | \(0.420793\pi\) | |||||||
\(488\) | 4.35778 | − | 5.02915i | 0.197268 | − | 0.227659i | ||||
\(489\) | −6.02613 | − | 1.76943i | −0.272511 | − | 0.0800164i | ||||
\(490\) | −16.1172 | + | 10.3579i | −0.728099 | + | 0.467921i | ||||
\(491\) | 3.30608 | + | 7.23931i | 0.149201 | + | 0.326706i | 0.969445 | − | 0.245309i | \(-0.0788894\pi\) |
−0.820243 | + | 0.572015i | \(0.806162\pi\) | |||||||
\(492\) | 5.47035 | + | 6.31312i | 0.246623 | + | 0.284618i | ||||
\(493\) | 5.98991 | + | 3.84948i | 0.269772 | + | 0.173372i | ||||
\(494\) | 1.68686 | − | 11.7324i | 0.0758955 | − | 0.527865i | ||||
\(495\) | 0.877534 | − | 6.10338i | 0.0394422 | − | 0.274327i | ||||
\(496\) | −1.36256 | − | 0.875661i | −0.0611805 | − | 0.0393183i | ||||
\(497\) | 21.4231 | + | 24.7236i | 0.960956 | + | 1.10900i | ||||
\(498\) | −2.67700 | − | 5.86181i | −0.119959 | − | 0.262674i | ||||
\(499\) | 27.5072 | − | 17.6778i | 1.23139 | − | 0.791368i | 0.247285 | − | 0.968943i | \(-0.420462\pi\) |
0.984107 | + | 0.177575i | \(0.0568253\pi\) | |||||||
\(500\) | −0.959493 | − | 0.281733i | −0.0429098 | − | 0.0125995i | ||||
\(501\) | 4.40503 | − | 5.08368i | 0.196802 | − | 0.227122i | ||||
\(502\) | −15.5574 | + | 4.56807i | −0.694361 | + | 0.203883i | ||||
\(503\) | 6.52186 | − | 14.2809i | 0.290795 | − | 0.636753i | −0.706698 | − | 0.707516i | \(-0.749816\pi\) |
0.997493 | + | 0.0707623i | \(0.0225432\pi\) | |||||||
\(504\) | 0.727875 | + | 5.06248i | 0.0324221 | + | 0.225501i | ||||
\(505\) | 4.40457 | 0.196001 | ||||||||
\(506\) | −10.8958 | − | 27.4913i | −0.484376 | − | 1.22214i | ||||
\(507\) | 9.79658 | 0.435082 | ||||||||
\(508\) | 0.161686 | + | 1.12455i | 0.00717365 | + | 0.0498939i | ||||
\(509\) | −16.5646 | + | 36.2714i | −0.734213 | + | 1.60770i | 0.0586336 | + | 0.998280i | \(0.481326\pi\) |
−0.792846 | + | 0.609422i | \(0.791402\pi\) | |||||||
\(510\) | −1.59556 | + | 0.468498i | −0.0706525 | + | 0.0207455i | ||||
\(511\) | 12.4391 | − | 14.3555i | 0.550274 | − | 0.635050i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | 5.57121 | − | 3.58040i | 0.245975 | − | 0.158079i | ||||
\(514\) | 2.03159 | + | 4.44856i | 0.0896095 | + | 0.196217i | ||||
\(515\) | 5.96866 | + | 6.88820i | 0.263011 | + | 0.303530i | ||||
\(516\) | 10.9343 | + | 7.02706i | 0.481357 | + | 0.309349i | ||||
\(517\) | 8.52202 | − | 59.2720i | 0.374798 | − | 2.60678i | ||||
\(518\) | −5.01478 | + | 34.8786i | −0.220337 | + | 1.53248i | ||||
\(519\) | −21.3022 | − | 13.6901i | −0.935063 | − | 0.600928i | ||||
\(520\) | −1.17208 | − | 1.35265i | −0.0513989 | − | 0.0593175i | ||||
\(521\) | −5.16504 | − | 11.3099i | −0.226285 | − | 0.495494i | 0.762102 | − | 0.647458i | \(-0.224168\pi\) |
−0.988386 | + | 0.151963i | \(0.951440\pi\) | |||||||
\(522\) | −3.60204 | + | 2.31489i | −0.157657 | + | 0.101320i | ||||
\(523\) | −40.1995 | − | 11.8036i | −1.75780 | − | 0.516137i | −0.765880 | − | 0.642984i | \(-0.777696\pi\) |
−0.991922 | + | 0.126846i | \(0.959514\pi\) | |||||||
\(524\) | 6.11044 | − | 7.05182i | 0.266936 | − | 0.308060i | ||||
\(525\) | 4.90736 | − | 1.44093i | 0.214175 | − | 0.0628874i | ||||
\(526\) | −8.31179 | + | 18.2003i | −0.362411 | + | 0.793570i | ||||
\(527\) | 0.383309 | + | 2.66597i | 0.0166972 | + | 0.116131i | ||||
\(528\) | 6.16614 | 0.268347 | ||||||||
\(529\) | −16.7552 | + | 15.7564i | −0.728487 | + | 0.685059i | ||||
\(530\) | −3.71723 | −0.161466 | ||||||||
\(531\) | 0.921966 | + | 6.41242i | 0.0400099 | + | 0.278275i | ||||
\(532\) | −14.0706 | + | 30.8102i | −0.610036 | + | 1.33579i | ||||
\(533\) | 14.3455 | − | 4.21221i | 0.621371 | − | 0.182451i | ||||
\(534\) | −1.64592 | + | 1.89949i | −0.0712259 | + | 0.0821991i | ||||
\(535\) | −2.63398 | − | 0.773406i | −0.113877 | − | 0.0334372i | ||||
\(536\) | −0.983589 | + | 0.632114i | −0.0424846 | + | 0.0273032i | ||||
\(537\) | −5.83051 | − | 12.7670i | −0.251605 | − | 0.550938i | ||||
\(538\) | 12.1019 | + | 13.9664i | 0.521750 | + | 0.602132i | ||||
\(539\) | −99.3807 | − | 63.8681i | −4.28063 | − | 2.75099i | ||||
\(540\) | 0.142315 | − | 0.989821i | 0.00612426 | − | 0.0425951i | ||||
\(541\) | 4.69834 | − | 32.6777i | 0.201997 | − | 1.40492i | −0.596350 | − | 0.802725i | \(-0.703383\pi\) |
0.798347 | − | 0.602198i | \(-0.205708\pi\) | |||||||
\(542\) | 13.4435 | + | 8.63961i | 0.577448 | + | 0.371103i | ||||
\(543\) | 8.29775 | + | 9.57611i | 0.356090 | + | 0.410950i | ||||
\(544\) | −0.690802 | − | 1.51264i | −0.0296179 | − | 0.0648541i | ||||
\(545\) | 5.70993 | − | 3.66955i | 0.244587 | − | 0.157186i | ||||
\(546\) | 8.78324 | + | 2.57899i | 0.375888 | + | 0.110371i | ||||
\(547\) | −25.4170 | + | 29.3328i | −1.08675 | + | 1.25418i | −0.121577 | + | 0.992582i | \(0.538795\pi\) |
−0.965177 | + | 0.261599i | \(0.915750\pi\) | |||||||
\(548\) | −17.2669 | + | 5.07001i | −0.737604 | + | 0.216580i | ||||
\(549\) | 2.76439 | − | 6.05316i | 0.117981 | − | 0.258343i | ||||
\(550\) | −0.877534 | − | 6.10338i | −0.0374182 | − | 0.260249i | ||||
\(551\) | −28.3560 | −1.20801 | ||||||||
\(552\) | −1.76703 | − | 4.45843i | −0.0752098 | − | 0.189763i | ||||
\(553\) | −28.7573 | −1.22288 | ||||||||
\(554\) | −1.80529 | − | 12.5560i | −0.0766992 | − | 0.533455i | ||||
\(555\) | 2.86205 | − | 6.26702i | 0.121487 | − | 0.266020i | ||||
\(556\) | −20.8563 | + | 6.12396i | −0.884504 | + | 0.259714i | ||||
\(557\) | 20.1450 | − | 23.2486i | 0.853571 | − | 0.985074i | −0.146420 | − | 0.989222i | \(-0.546775\pi\) |
0.999991 | + | 0.00414893i | \(0.00132065\pi\) | |||||||
\(558\) | −1.55406 | − | 0.456315i | −0.0657888 | − | 0.0193173i | ||||
\(559\) | 19.5703 | − | 12.5771i | 0.827738 | − | 0.531955i | ||||
\(560\) | 2.12466 | + | 4.65235i | 0.0897831 | + | 0.196598i | ||||
\(561\) | −6.71481 | − | 7.74930i | −0.283500 | − | 0.327176i | ||||
\(562\) | 14.5452 | + | 9.34762i | 0.613551 | + | 0.394305i | ||||
\(563\) | 1.81244 | − | 12.6058i | 0.0763852 | − | 0.531271i | −0.915319 | − | 0.402730i | \(-0.868061\pi\) |
0.991704 | − | 0.128541i | \(-0.0410294\pi\) | |||||||
\(564\) | 1.38207 | − | 9.61248i | 0.0581955 | − | 0.404759i | ||||
\(565\) | 0.120890 | + | 0.0776913i | 0.00508588 | + | 0.00326850i | ||||
\(566\) | 5.98521 | + | 6.90731i | 0.251577 | + | 0.290336i | ||||
\(567\) | 2.12466 | + | 4.65235i | 0.0892272 | + | 0.195380i | ||||
\(568\) | 5.38088 | − | 3.45808i | 0.225777 | − | 0.145098i | ||||
\(569\) | 30.0584 | + | 8.82595i | 1.26011 | + | 0.370003i | 0.842537 | − | 0.538638i | \(-0.181061\pi\) |
0.417577 | + | 0.908641i | \(0.362879\pi\) | |||||||
\(570\) | 4.33682 | − | 5.00496i | 0.181650 | − | 0.209635i | ||||
\(571\) | 6.01757 | − | 1.76692i | 0.251827 | − | 0.0739432i | −0.153382 | − | 0.988167i | \(-0.549017\pi\) |
0.405210 | + | 0.914224i | \(0.367198\pi\) | |||||||
\(572\) | 4.58461 | − | 10.0389i | 0.191692 | − | 0.419747i | ||||
\(573\) | −0.0608330 | − | 0.423103i | −0.00254134 | − | 0.0176754i | ||||
\(574\) | −42.7241 | −1.78327 | ||||||||
\(575\) | −4.16158 | + | 2.38355i | −0.173550 | + | 0.0994007i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −3.04523 | − | 21.1800i | −0.126774 | − | 0.881736i | −0.949605 | − | 0.313449i | \(-0.898516\pi\) |
0.822831 | − | 0.568287i | \(-0.192394\pi\) | |||||||
\(578\) | 5.91331 | − | 12.9483i | 0.245961 | − | 0.538580i | ||||
\(579\) | −11.7373 | + | 3.44638i | −0.487786 | + | 0.143227i | ||||
\(580\) | −2.80396 | + | 3.23594i | −0.116428 | + | 0.134365i | ||||
\(581\) | 31.6238 | + | 9.28558i | 1.31198 | + | 0.385231i | ||||
\(582\) | −4.39840 | + | 2.82668i | −0.182319 | + | 0.117170i | ||||
\(583\) | −9.52171 | − | 20.8496i | −0.394349 | − | 0.863504i | ||||
\(584\) | −2.43211 | − | 2.80680i | −0.100641 | − | 0.116146i | ||||
\(585\) | −1.50568 | − | 0.967644i | −0.0622523 | − | 0.0400071i | ||||
\(586\) | −1.23123 | + | 8.56339i | −0.0508616 | + | 0.353750i | ||||
\(587\) | −1.81659 | + | 12.6346i | −0.0749785 | + | 0.521487i | 0.917372 | + | 0.398032i | \(0.130307\pi\) |
−0.992350 | + | 0.123455i | \(0.960602\pi\) | |||||||
\(588\) | −16.1172 | − | 10.3579i | −0.664660 | − | 0.427151i | ||||
\(589\) | −7.02424 | − | 8.10640i | −0.289429 | − | 0.334018i | ||||
\(590\) | 2.69121 | + | 5.89292i | 0.110795 | + | 0.242608i | ||||
\(591\) | −14.3933 | + | 9.25002i | −0.592062 | + | 0.380495i | ||||
\(592\) | 6.61055 | + | 1.94103i | 0.271692 | + | 0.0797759i | ||||
\(593\) | 2.90737 | − | 3.35529i | 0.119392 | − | 0.137785i | −0.692907 | − | 0.721027i | \(-0.743670\pi\) |
0.812299 | + | 0.583242i | \(0.198216\pi\) | |||||||
\(594\) | 5.91637 | − | 1.73720i | 0.242752 | − | 0.0712783i | ||||
\(595\) | 3.53313 | − | 7.73648i | 0.144844 | − | 0.317165i | ||||
\(596\) | −2.72811 | − | 18.9744i | −0.111748 | − | 0.777222i | ||||
\(597\) | −15.8618 | −0.649180 | ||||||||
\(598\) | −8.57244 | − | 0.438058i | −0.350553 | − | 0.0179135i | ||||
\(599\) | 8.39611 | 0.343056 | 0.171528 | − | 0.985179i | \(-0.445130\pi\) | ||||
0.171528 | + | 0.985179i | \(0.445130\pi\) | |||||||
\(600\) | −0.142315 | − | 0.989821i | −0.00580998 | − | 0.0404093i | ||||
\(601\) | −2.93777 | + | 6.43283i | −0.119834 | + | 0.262401i | −0.960038 | − | 0.279871i | \(-0.909708\pi\) |
0.840203 | + | 0.542272i | \(0.182436\pi\) | |||||||
\(602\) | −63.7842 | + | 18.7287i | −2.59965 | + | 0.763326i | ||||
\(603\) | −0.765659 | + | 0.883618i | −0.0311801 | + | 0.0359837i | ||||
\(604\) | 2.59555 | + | 0.762121i | 0.105611 | + | 0.0310103i | ||||
\(605\) | 22.7318 | − | 14.6088i | 0.924179 | − | 0.593934i | ||||
\(606\) | 1.82973 | + | 4.00654i | 0.0743275 | + | 0.162755i | ||||
\(607\) | −3.63697 | − | 4.19728i | −0.147620 | − | 0.170362i | 0.677124 | − | 0.735869i | \(-0.263226\pi\) |
−0.824744 | + | 0.565507i | \(0.808681\pi\) | |||||||
\(608\) | 5.57121 | + | 3.58040i | 0.225943 | + | 0.145204i | ||||
\(609\) | 3.11658 | − | 21.6763i | 0.126290 | − | 0.878368i | ||||
\(610\) | 0.947037 | − | 6.58678i | 0.0383444 | − | 0.266691i | ||||
\(611\) | −14.6222 | − | 9.39711i | −0.591550 | − | 0.380166i | ||||
\(612\) | −1.08898 | − | 1.25675i | −0.0440194 | − | 0.0508011i | ||||
\(613\) | −3.80448 | − | 8.33066i | −0.153662 | − | 0.336472i | 0.817108 | − | 0.576484i | \(-0.195576\pi\) |
−0.970770 | + | 0.240012i | \(0.922849\pi\) | |||||||
\(614\) | −26.5853 | + | 17.0853i | −1.07289 | + | 0.689507i | ||||
\(615\) | 8.01509 | + | 2.35344i | 0.323199 | + | 0.0948999i | ||||
\(616\) | −20.6523 | + | 23.8341i | −0.832106 | + | 0.960302i | ||||
\(617\) | −27.0711 | + | 7.94881i | −1.08984 | + | 0.320007i | −0.776810 | − | 0.629735i | \(-0.783163\pi\) |
−0.313034 | + | 0.949742i | \(0.601345\pi\) | |||||||
\(618\) | −3.78626 | + | 8.29075i | −0.152306 | + | 0.333503i | ||||
\(619\) | 3.52770 | + | 24.5357i | 0.141790 | + | 0.986172i | 0.929156 | + | 0.369687i | \(0.120535\pi\) |
−0.787366 | + | 0.616486i | \(0.788556\pi\) | |||||||
\(620\) | −1.61967 | −0.0650476 | ||||||||
\(621\) | −2.95154 | − | 3.78000i | −0.118441 | − | 0.151686i | ||||
\(622\) | 20.1112 | 0.806387 | ||||||||
\(623\) | −1.82943 | − | 12.7240i | −0.0732947 | − | 0.509776i | ||||
\(624\) | 0.743514 | − | 1.62807i | 0.0297644 | − | 0.0651749i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | 4.56559 | − | 5.26897i | 0.182478 | − | 0.210591i | ||||
\(627\) | 39.1813 | + | 11.5047i | 1.56475 | + | 0.459452i | ||||
\(628\) | −8.15539 | + | 5.24115i | −0.325435 | + | 0.209145i | ||||
\(629\) | −4.75936 | − | 10.4216i | −0.189768 | − | 0.415534i | ||||
\(630\) | 3.34931 | + | 3.86531i | 0.133440 | + | 0.153998i | ||||
\(631\) | −6.43132 | − | 4.13316i | −0.256027 | − | 0.164539i | 0.406331 | − | 0.913726i | \(-0.366808\pi\) |
−0.662358 | + | 0.749187i | \(0.730444\pi\) | |||||||
\(632\) | −0.800187 | + | 5.56543i | −0.0318297 | + | 0.221381i | ||||
\(633\) | 1.52604 | − | 10.6139i | 0.0606548 | − | 0.421863i | ||||
\(634\) | −14.7980 | − | 9.51012i | −0.587705 | − | 0.377695i | ||||
\(635\) | 0.743997 | + | 0.858618i | 0.0295246 | + | 0.0340732i | ||||
\(636\) | −1.54419 | − | 3.38131i | −0.0612312 | − | 0.134078i | ||||
\(637\) | −28.8466 | + | 18.5386i | −1.14294 | + | 0.734526i | ||||
\(638\) | −25.3325 | − | 7.43829i | −1.00292 | − | 0.294485i | ||||
\(639\) | 4.18866 | − | 4.83398i | 0.165701 | − | 0.191229i | ||||
\(640\) | 0.959493 | − | 0.281733i | 0.0379273 | − | 0.0111365i | ||||
\(641\) | 7.43603 | − | 16.2826i | 0.293706 | − | 0.643126i | −0.704045 | − | 0.710155i | \(-0.748625\pi\) |
0.997751 | + | 0.0670294i | \(0.0213521\pi\) | |||||||
\(642\) | −0.390679 | − | 2.71723i | −0.0154189 | − | 0.107241i | ||||
\(643\) | −47.5033 | −1.87335 | −0.936673 | − | 0.350204i | \(-0.886112\pi\) | ||||
−0.936673 | + | 0.350204i | \(0.886112\pi\) | |||||||
\(644\) | 23.1515 | + | 8.10254i | 0.912299 | + | 0.319285i | ||||
\(645\) | 12.9977 | 0.511782 | ||||||||
\(646\) | −1.56727 | − | 10.9006i | −0.0616635 | − | 0.428879i | ||||
\(647\) | 4.22982 | − | 9.26202i | 0.166291 | − | 0.364127i | −0.808080 | − | 0.589073i | \(-0.799493\pi\) |
0.974371 | + | 0.224945i | \(0.0722204\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | −26.1594 | + | 30.1895i | −1.02685 | + | 1.18504i | ||||
\(650\) | −1.71731 | − | 0.504247i | −0.0673584 | − | 0.0197782i | ||||
\(651\) | 6.96884 | − | 4.47860i | 0.273130 | − | 0.175530i | ||||
\(652\) | −2.60903 | − | 5.71297i | −0.102177 | − | 0.223737i | ||||
\(653\) | −15.6285 | − | 18.0363i | −0.611591 | − | 0.705813i | 0.362497 | − | 0.931985i | \(-0.381924\pi\) |
−0.974087 | + | 0.226172i | \(0.927379\pi\) | |||||||
\(654\) | 5.70993 | + | 3.66955i | 0.223276 | + | 0.143491i | ||||
\(655\) | 1.32793 | − | 9.23592i | 0.0518863 | − | 0.360877i | ||||
\(656\) | −1.18882 | + | 8.26843i | −0.0464157 | + | 0.322828i | ||||
\(657\) | −3.12436 | − | 2.00790i | −0.121893 | − | 0.0783358i | ||||
\(658\) | 32.5263 | + | 37.5373i | 1.26801 | + | 1.46336i | ||||
\(659\) | 12.8619 | + | 28.1636i | 0.501027 | + | 1.09710i | 0.976134 | + | 0.217169i | \(0.0696822\pi\) |
−0.475107 | + | 0.879928i | \(0.657591\pi\) | |||||||
\(660\) | 5.18729 | − | 3.33367i | 0.201915 | − | 0.129763i | ||||
\(661\) | −23.2981 | − | 6.84095i | −0.906193 | − | 0.266082i | −0.204755 | − | 0.978813i | \(-0.565640\pi\) |
−0.701438 | + | 0.712731i | \(0.747458\pi\) | |||||||
\(662\) | −10.7668 | + | 12.4256i | −0.418465 | + | 0.482935i | ||||
\(663\) | −2.85575 | + | 0.838523i | −0.110908 | + | 0.0325655i | ||||
\(664\) | 2.67700 | − | 5.86181i | 0.103888 | − | 0.227482i | ||||
\(665\) | 4.82036 | + | 33.5263i | 0.186926 | + | 1.30010i | ||||
\(666\) | 6.88962 | 0.266968 | ||||||||
\(667\) | 1.88127 | + | 20.4482i | 0.0728431 | + | 0.791759i | ||||
\(668\) | 6.72667 | 0.260263 | ||||||||
\(669\) | −0.720002 | − | 5.00772i | −0.0278369 | − | 0.193610i | ||||
\(670\) | −0.485701 | + | 1.06354i | −0.0187643 | + | 0.0410880i | ||||
\(671\) | 39.3706 | − | 11.5603i | 1.51989 | − | 0.446279i | ||||
\(672\) | −3.34931 | + | 3.86531i | −0.129202 | + | 0.149108i | ||||
\(673\) | 1.88294 | + | 0.552880i | 0.0725818 | + | 0.0213119i | 0.317822 | − | 0.948150i | \(-0.397049\pi\) |
−0.245240 | + | 0.969462i | \(0.578867\pi\) | |||||||
\(674\) | −27.4231 | + | 17.6238i | −1.05630 | + | 0.678843i | ||||
\(675\) | −0.415415 | − | 0.909632i | −0.0159893 | − | 0.0350118i | ||||
\(676\) | 6.41540 | + | 7.40376i | 0.246746 | + | 0.284760i | ||||
\(677\) | −20.9703 | − | 13.4768i | −0.805954 | − | 0.517955i | 0.0715999 | − | 0.997433i | \(-0.477190\pi\) |
−0.877554 | + | 0.479478i | \(0.840826\pi\) | |||||||
\(678\) | −0.0204510 | + | 0.142240i | −0.000785415 | + | 0.00546268i | ||||
\(679\) | 3.80561 | − | 26.4686i | 0.146046 | − | 1.01577i | ||||
\(680\) | −1.39894 | − | 0.899042i | −0.0536468 | − | 0.0344767i | ||||
\(681\) | 14.7061 | + | 16.9718i | 0.563539 | + | 0.650359i | ||||
\(682\) | −4.14881 | − | 9.08462i | −0.158866 | − | 0.347868i | ||||
\(683\) | −4.41687 | + | 2.83855i | −0.169007 | + | 0.108614i | −0.622410 | − | 0.782692i | \(-0.713846\pi\) |
0.453403 | + | 0.891306i | \(0.350210\pi\) | |||||||
\(684\) | 6.35426 | + | 1.86578i | 0.242961 | + | 0.0713398i | ||||
\(685\) | −11.7848 | + | 13.6003i | −0.450272 | + | 0.519642i | ||||
\(686\) | 59.6661 | − | 17.5196i | 2.27806 | − | 0.668900i | ||||
\(687\) | 10.2945 | − | 22.5418i | 0.392759 | − | 0.860023i | ||||
\(688\) | 1.84976 | + | 12.8654i | 0.0705214 | + | 0.490487i | ||||
\(689\) | −6.65312 | −0.253464 | ||||||||
\(690\) | −3.89693 | − | 2.79534i | −0.148354 | − | 0.106417i | ||||
\(691\) | 41.3134 | 1.57163 | 0.785817 | − | 0.618459i | \(-0.212243\pi\) | ||||
0.785817 | + | 0.618459i | \(0.212243\pi\) | |||||||
\(692\) | −3.60369 | − | 25.0642i | −0.136992 | − | 0.952799i | ||||
\(693\) | −13.1009 | + | 28.6870i | −0.497663 | + | 1.08973i | ||||
\(694\) | −0.256534 | + | 0.0753252i | −0.00973790 | + | 0.00285931i | ||||
\(695\) | −14.2346 | + | 16.4276i | −0.539948 | + | 0.623133i | ||||
\(696\) | −4.10832 | − | 1.20631i | −0.155725 | − | 0.0457251i | ||||
\(697\) | 11.6860 | − | 7.51011i | 0.442637 | − | 0.284466i | ||||
\(698\) | −6.76976 | − | 14.8237i | −0.256239 | − | 0.561086i | ||||
\(699\) | 8.75819 | + | 10.1075i | 0.331265 | + | 0.382301i | ||||
\(700\) | 4.30262 | + | 2.76513i | 0.162624 | + | 0.104512i | ||||
\(701\) | 4.51308 | − | 31.3891i | 0.170457 | − | 1.18555i | −0.707465 | − | 0.706748i | \(-0.750161\pi\) |
0.877922 | − | 0.478804i | \(-0.158929\pi\) | |||||||
\(702\) | 0.254716 | − | 1.77159i | 0.00961365 | − | 0.0668644i | ||||
\(703\) | 38.3836 | + | 24.6676i | 1.44766 | + | 0.930357i | ||||
\(704\) | 4.03797 | + | 4.66006i | 0.152187 | + | 0.175633i | ||||
\(705\) | −4.03423 | − | 8.83374i | −0.151938 | − | 0.332698i | ||||
\(706\) | −1.95743 | + | 1.25796i | −0.0736687 | + | 0.0473440i | ||||
\(707\) | −21.6148 | − | 6.34669i | −0.812910 | − | 0.238692i | ||||
\(708\) | −4.24242 | + | 4.89602i | −0.159440 | + | 0.184004i | ||||
\(709\) | −25.5591 | + | 7.50482i | −0.959891 | + | 0.281849i | −0.723899 | − | 0.689906i | \(-0.757652\pi\) |
−0.235991 | + | 0.971755i | \(0.575834\pi\) | |||||||
\(710\) | 2.65711 | − | 5.81825i | 0.0997194 | − | 0.218355i | ||||
\(711\) | 0.800187 | + | 5.56543i | 0.0300094 | + | 0.208720i | ||||
\(712\) | −2.51339 | −0.0941933 | ||||||||
\(713\) | −5.37971 | + | 5.60317i | −0.201472 | + | 0.209840i | ||||
\(714\) | 8.50506 | 0.318294 | ||||||||
\(715\) | −1.57062 | − | 10.9239i | −0.0587378 | − | 0.408530i | ||||
\(716\) | 5.83051 | − | 12.7670i | 0.217896 | − | 0.477126i | ||||
\(717\) | −0.302073 | + | 0.0886968i | −0.0112811 | + | 0.00331244i | ||||
\(718\) | 12.3529 | − | 14.2560i | 0.461006 | − | 0.532029i | ||||
\(719\) | −33.6534 | − | 9.88154i | −1.25506 | − | 0.368519i | −0.414407 | − | 0.910091i | \(-0.636011\pi\) |
−0.840654 | + | 0.541572i | \(0.817829\pi\) | |||||||
\(720\) | 0.841254 | − | 0.540641i | 0.0313517 | − | 0.0201485i | ||||
\(721\) | −19.3650 | − | 42.4033i | −0.721189 | − | 1.57918i | ||||
\(722\) | 16.2783 | + | 18.7862i | 0.605816 | + | 0.699149i | ||||
\(723\) | −7.84813 | − | 5.04369i | −0.291875 | − | 0.187577i | ||||
\(724\) | −1.80327 | + | 12.5420i | −0.0670181 | + | 0.466121i | ||||
\(725\) | −0.609358 | + | 4.23818i | −0.0226310 | + | 0.157402i | ||||
\(726\) | 22.7318 | + | 14.6088i | 0.843656 | + | 0.542185i | ||||
\(727\) | −25.7037 | − | 29.6636i | −0.953297 | − | 1.10016i | −0.994884 | − | 0.101029i | \(-0.967787\pi\) |
0.0415864 | − | 0.999135i | \(-0.486759\pi\) | |||||||
\(728\) | 3.80273 | + | 8.32681i | 0.140938 | + | 0.308612i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | −3.56349 | − | 1.04634i | −0.131891 | − | 0.0387266i | ||||
\(731\) | 14.1542 | − | 16.3348i | 0.523512 | − | 0.604165i | ||||
\(732\) | 6.38496 | − | 1.87479i | 0.235995 | − | 0.0692944i | ||||
\(733\) | −1.94592 | + | 4.26098i | −0.0718743 | + | 0.157383i | −0.942159 | − | 0.335166i | \(-0.891208\pi\) |
0.870285 | + | 0.492549i | \(0.163935\pi\) | |||||||
\(734\) | −1.28464 | − | 8.93490i | −0.0474171 | − | 0.329793i | ||||
\(735\) | −19.1585 | −0.706672 | ||||||||
\(736\) | 2.21230 | − | 4.25508i | 0.0815464 | − | 0.156844i | ||||
\(737\) | −7.20942 | −0.265562 | ||||||||
\(738\) | 1.18882 | + | 8.26843i | 0.0437611 | + | 0.304365i | ||||
\(739\) | −6.67984 | + | 14.6268i | −0.245722 | + | 0.538056i | −0.991800 | − | 0.127803i | \(-0.959207\pi\) |
0.746078 | + | 0.665859i | \(0.231935\pi\) | |||||||
\(740\) | 6.61055 | − | 1.94103i | 0.243008 | − | 0.0713537i | ||||
\(741\) | 7.76209 | − | 8.95793i | 0.285147 | − | 0.329078i | ||||
\(742\) | 18.2418 | + | 5.35627i | 0.669677 | + | 0.196635i | ||||
\(743\) | −30.9872 | + | 19.9143i | −1.13681 | + | 0.730583i | −0.966971 | − | 0.254888i | \(-0.917961\pi\) |
−0.169840 | + | 0.985472i | \(0.554325\pi\) | |||||||
\(744\) | −0.672836 | − | 1.47331i | −0.0246674 | − | 0.0540140i | ||||
\(745\) | −12.5534 | − | 14.4874i | −0.459920 | − | 0.530776i | ||||
\(746\) | −12.3870 | − | 7.96062i | −0.453519 | − | 0.291459i | ||||
\(747\) | 0.917099 | − | 6.37856i | 0.0335549 | − | 0.233379i | ||||
\(748\) | 1.45927 | − | 10.1494i | 0.0533561 | − | 0.371100i | ||||
\(749\) | 11.8115 | + | 7.59076i | 0.431581 | + | 0.277360i | ||||
\(750\) | −0.654861 | − | 0.755750i | −0.0239121 | − | 0.0275961i | ||||
\(751\) | 21.8918 | + | 47.9363i | 0.798841 | + | 1.74922i | 0.649398 | + | 0.760448i | \(0.275021\pi\) |
0.149443 | + | 0.988770i | \(0.452252\pi\) | |||||||
\(752\) | 8.16969 | − | 5.25034i | 0.297918 | − | 0.191460i | ||||
\(753\) | −15.5574 | − | 4.56807i | −0.566944 | − | 0.166470i | ||||
\(754\) | −5.01854 | + | 5.79171i | −0.182765 | + | 0.210922i | ||||
\(755\) | 2.59555 | − | 0.762121i | 0.0944616 | − | 0.0277364i | ||||
\(756\) | −2.12466 | + | 4.65235i | −0.0772730 | + | 0.169204i | ||||
\(757\) | −0.390678 | − | 2.71723i | −0.0141994 | − | 0.0987593i | 0.981489 | − | 0.191517i | \(-0.0613408\pi\) |
−0.995689 | + | 0.0927580i | \(0.970432\pi\) | |||||||
\(758\) | −11.2664 | −0.409216 | ||||||||
\(759\) | 5.69683 | − | 29.0179i | 0.206782 | − | 1.05328i | ||||
\(760\) | 6.62251 | 0.240224 | ||||||||
\(761\) | −2.00413 | − | 13.9390i | −0.0726496 | − | 0.505289i | −0.993360 | − | 0.115044i | \(-0.963299\pi\) |
0.920711 | − | 0.390246i | \(-0.127610\pi\) | |||||||
\(762\) | −0.471959 | + | 1.03345i | −0.0170973 | + | 0.0374378i | ||||
\(763\) | −33.3083 | + | 9.78020i | −1.20584 | + | 0.354067i | ||||
\(764\) | 0.279923 | − | 0.323048i | 0.0101272 | − | 0.0116875i | ||||
\(765\) | −1.59556 | − | 0.468498i | −0.0576876 | − | 0.0169386i | ||||
\(766\) | −6.15073 | + | 3.95284i | −0.222235 | + | 0.142822i | ||||
\(767\) | 4.81675 | + | 10.5472i | 0.173923 | + | 0.380837i | ||||
\(768\) | 0.654861 | + | 0.755750i | 0.0236303 | + | 0.0272708i | ||||
\(769\) | 12.4613 | + | 8.00839i | 0.449366 | + | 0.288790i | 0.745685 | − | 0.666299i | \(-0.232123\pi\) |
−0.296318 | + | 0.955089i | \(0.595759\pi\) | |||||||
\(770\) | −4.48818 | + | 31.2160i | −0.161743 | + | 1.12495i | ||||
\(771\) | −0.695991 | + | 4.84072i | −0.0250655 | + | 0.174334i | ||||
\(772\) | −10.2909 | − | 6.61356i | −0.370378 | − | 0.238027i | ||||
\(773\) | 6.55636 | + | 7.56644i | 0.235816 | + | 0.272146i | 0.861307 | − | 0.508086i | \(-0.169647\pi\) |
−0.625491 | + | 0.780232i | \(0.715101\pi\) | |||||||
\(774\) | 5.39942 | + | 11.8231i | 0.194078 | + | 0.424972i | ||||
\(775\) | −1.36256 | + | 0.875661i | −0.0489444 | + | 0.0314547i | ||||
\(776\) | −5.01660 | − | 1.47301i | −0.180085 | − | 0.0528779i | ||||
\(777\) | −23.0755 | + | 26.6305i | −0.827828 | + | 0.955365i | ||||
\(778\) | 1.95740 | − | 0.574743i | 0.0701760 | − | 0.0206055i | ||||
\(779\) | −22.9811 | + | 50.3217i | −0.823384 | + | 1.80296i | ||||
\(780\) | −0.254716 | − | 1.77159i | −0.00912031 | − | 0.0634331i | ||||
\(781\) | 39.4403 | 1.41129 | ||||||||
\(782\) | −7.75673 | + | 1.85340i | −0.277380 | + | 0.0662773i | ||||
\(783\) | −4.28176 | −0.153018 | ||||||||
\(784\) | −2.72654 | − | 18.9635i | −0.0973764 | − | 0.677267i | ||||
\(785\) | −4.02717 | + | 8.81827i | −0.143736 | + | 0.314738i | ||||
\(786\) | 8.95293 | − | 2.62882i | 0.319340 | − | 0.0937668i | ||||
\(787\) | 7.02889 | − | 8.11177i | 0.250553 | − | 0.289153i | −0.616515 | − | 0.787343i | \(-0.711456\pi\) |
0.867068 | + | 0.498190i | \(0.166002\pi\) | |||||||
\(788\) | −16.4163 | − | 4.82026i | −0.584807 | − | 0.171715i | ||||
\(789\) | −16.8321 | + | 10.8174i | −0.599240 | + | 0.385108i | ||||
\(790\) | 2.33574 | + | 5.11455i | 0.0831018 | + | 0.181967i | ||||
\(791\) | −0.481303 | − | 0.555454i | −0.0171132 | − | 0.0197497i | ||||
\(792\) | 5.18729 | + | 3.33367i | 0.184322 | + | 0.118457i | ||||
\(793\) | 1.69501 | − | 11.7891i | 0.0601917 | − | 0.418643i | ||||
\(794\) | 0.0131528 | − | 0.0914799i | 0.000466776 | − | 0.00324650i | ||||
\(795\) | −3.12713 | − | 2.00968i | −0.110908 | − | 0.0712762i | ||||
\(796\) | −10.3873 | − | 11.9875i | −0.368167 | − | 0.424887i | ||||
\(797\) | −16.5757 | − | 36.2958i | −0.587143 | − | 1.28566i | −0.937153 | − | 0.348918i | \(-0.886549\pi\) |
0.350010 | − | 0.936746i | \(-0.386178\pi\) | |||||||
\(798\) | −28.4942 | + | 18.3121i | −1.00868 | + | 0.648241i | ||||
\(799\) | −15.4950 | − | 4.54974i | −0.548174 | − | 0.160958i | ||||
\(800\) | 0.654861 | − | 0.755750i | 0.0231528 | − | 0.0267198i | ||||
\(801\) | −2.41158 | + | 0.708104i | −0.0852090 | + | 0.0250196i | ||||
\(802\) | 7.93543 | − | 17.3762i | 0.280210 | − | 0.613574i | ||||
\(803\) | −3.25910 | − | 22.6676i | −0.115011 | − | 0.799921i | ||||
\(804\) | −1.16919 | −0.0412343 | ||||||||
\(805\) | 23.8569 | − | 5.70038i | 0.840845 | − | 0.200912i | ||||
\(806\) | −2.89890 | −0.102110 | ||||||||
\(807\) | 2.63000 | + | 18.2920i | 0.0925803 | + | 0.643910i | ||||
\(808\) | −1.82973 | + | 4.00654i | −0.0643695 | + | 0.140950i | ||||
\(809\) | 24.3123 | − | 7.13875i | 0.854776 | − | 0.250985i | 0.175148 | − | 0.984542i | \(-0.443959\pi\) |
0.679628 | + | 0.733557i | \(0.262141\pi\) | |||||||
\(810\) | 0.654861 | − | 0.755750i | 0.0230095 | − | 0.0265543i | ||||
\(811\) | 37.9822 | + | 11.1526i | 1.33374 | + | 0.391620i | 0.869431 | − | 0.494055i | \(-0.164486\pi\) |
0.464306 | + | 0.885675i | \(0.346304\pi\) | |||||||
\(812\) | 18.4228 | − | 11.8396i | 0.646513 | − | 0.415489i | ||||
\(813\) | 6.63846 | + | 14.5362i | 0.232821 | + | 0.509807i | ||||
\(814\) | 27.8201 | + | 32.1061i | 0.975093 | + | 1.12532i | ||||
\(815\) | −5.28352 | − | 3.39551i | −0.185074 | − | 0.118940i | ||||
\(816\) | 0.236658 | − | 1.64599i | 0.00828469 | − | 0.0576213i | ||||
\(817\) | −12.2501 | + | 85.2010i | −0.428575 | + | 2.98081i | ||||
\(818\) | −16.5033 | − | 10.6060i | −0.577024 | − | 0.370831i | ||||
\(819\) | 5.99462 | + | 6.91817i | 0.209469 | + | 0.241740i | ||||
\(820\) | 3.47015 | + | 7.59857i | 0.121183 | + | 0.265354i | ||||
\(821\) | 1.26608 | − | 0.813661i | 0.0441865 | − | 0.0283970i | −0.518361 | − | 0.855162i | \(-0.673458\pi\) |
0.562548 | + | 0.826765i | \(0.309821\pi\) | |||||||
\(822\) | −17.2669 | − | 5.07001i | −0.602251 | − | 0.176837i | ||||
\(823\) | 31.9657 | − | 36.8904i | 1.11425 | − | 1.28592i | 0.159935 | − | 0.987128i | \(-0.448872\pi\) |
0.954319 | − | 0.298790i | \(-0.0965829\pi\) | |||||||
\(824\) | −8.74520 | + | 2.56782i | −0.304654 | + | 0.0894543i | ||||
\(825\) | 2.56151 | − | 5.60892i | 0.0891803 | − | 0.195278i | ||||
\(826\) | −4.71543 | − | 32.7965i | −0.164071 | − | 1.14114i | ||||
\(827\) | 27.4912 | 0.955961 | 0.477981 | − | 0.878370i | \(-0.341369\pi\) | ||||
0.477981 | + | 0.878370i | \(0.341369\pi\) | |||||||
\(828\) | 0.923889 | − | 4.70600i | 0.0321074 | − | 0.163545i | ||||
\(829\) | 7.58981 | 0.263605 | 0.131803 | − | 0.991276i | \(-0.457924\pi\) | ||||
0.131803 | + | 0.991276i | \(0.457924\pi\) | |||||||
\(830\) | −0.917099 | − | 6.37856i | −0.0318330 | − | 0.221403i | ||||
\(831\) | 5.26960 | − | 11.5388i | 0.182800 | − | 0.400277i | ||||
\(832\) | 1.71731 | − | 0.504247i | 0.0595370 | − | 0.0174816i | ||||
\(833\) | −20.8632 | + | 24.0774i | −0.722868 | + | 0.834234i | ||||
\(834\) | −20.8563 | − | 6.12396i | −0.722195 | − | 0.212055i | ||||
\(835\) | 5.65884 | − | 3.63671i | 0.195832 | − | 0.125854i | ||||
\(836\) | 16.9636 | + | 37.1452i | 0.586699 | + | 1.28469i | ||||
\(837\) | −1.06066 | − | 1.22407i | −0.0366618 | − | 0.0423099i | ||||
\(838\) | 11.9442 | + | 7.67604i | 0.412604 | + | 0.265165i | ||||
\(839\) | −3.79933 | + | 26.4249i | −0.131167 | + | 0.912289i | 0.812869 | + | 0.582447i | \(0.197905\pi\) |
−0.944036 | + | 0.329842i | \(0.893005\pi\) | |||||||
\(840\) | −0.727875 | + | 5.06248i | −0.0251141 | + | 0.174672i | ||||
\(841\) | −8.97327 | − | 5.76677i | −0.309423 | − | 0.198854i | ||||
\(842\) | 4.72377 | + | 5.45152i | 0.162792 | + | 0.187872i | ||||
\(843\) | 7.18248 | + | 15.7274i | 0.247378 | + | 0.541682i | ||||
\(844\) | 9.02077 | − | 5.79730i | 0.310508 | − | 0.199551i | ||||
\(845\) | 9.39975 | + | 2.76002i | 0.323361 | + | 0.0949475i | ||||
\(846\) | 6.35957 | − | 7.33933i | 0.218647 | − | 0.252332i | ||||
\(847\) | −132.604 | + | 38.9359i | −4.55631 | + | 1.33785i | ||||
\(848\) | 1.54419 | − | 3.38131i | 0.0530278 | − | 0.116115i | ||||
\(849\) | 1.30071 | + | 9.04665i | 0.0446403 | + | 0.310480i | ||||
\(850\) | −1.66292 | −0.0570377 | ||||||||
\(851\) | 15.2419 | − | 29.3159i | 0.522486 | − | 1.00494i | ||||
\(852\) | 6.39627 | 0.219132 | ||||||||
\(853\) | −1.71043 | − | 11.8963i | −0.0585639 | − | 0.407321i | −0.997925 | − | 0.0643906i | \(-0.979490\pi\) |
0.939361 | − | 0.342930i | \(-0.111419\pi\) | |||||||
\(854\) | −14.1386 | + | 30.9591i | −0.483812 | + | 1.05940i | ||||
\(855\) | 6.35426 | − | 1.86578i | 0.217311 | − | 0.0638083i | ||||
\(856\) | 1.79771 | − | 2.07467i | 0.0614444 | − | 0.0709106i | ||||
\(857\) | 45.9527 | + | 13.4929i | 1.56971 | + | 0.460909i | 0.946918 | − | 0.321475i | \(-0.104179\pi\) |
0.622795 | + | 0.782385i | \(0.285997\pi\) | |||||||
\(858\) | 9.28426 | − | 5.96663i | 0.316959 | − | 0.203697i | ||||
\(859\) | −19.6794 | − | 43.0918i | −0.671451 | − | 1.47027i | −0.871454 | − | 0.490478i | \(-0.836822\pi\) |
0.200002 | − | 0.979795i | \(-0.435905\pi\) | |||||||
\(860\) | 8.51165 | + | 9.82297i | 0.290245 | + | 0.334961i | ||||
\(861\) | −35.9418 | − | 23.0984i | −1.22489 | − | 0.787191i | ||||
\(862\) | 3.73381 | − | 25.9692i | 0.127174 | − | 0.884514i | ||||
\(863\) | −4.41057 | + | 30.6762i | −0.150137 | + | 1.04423i | 0.765849 | + | 0.643020i | \(0.222319\pi\) |
−0.915987 | + | 0.401208i | \(0.868590\pi\) | |||||||
\(864\) | 0.841254 | + | 0.540641i | 0.0286200 | + | 0.0183930i | ||||
\(865\) | −16.5824 | − | 19.1371i | −0.563817 | − | 0.650680i | ||||
\(866\) | −2.51164 | − | 5.49973i | −0.0853490 | − | 0.186888i | ||||
\(867\) | 11.9750 | − | 7.69586i | 0.406692 | − | 0.261365i | ||||
\(868\) | 7.94832 | + | 2.33384i | 0.269784 | + | 0.0792156i | ||||
\(869\) | −22.7041 | + | 26.2019i | −0.770184 | + | 0.888839i | ||||
\(870\) | −4.10832 | + | 1.20631i | −0.139285 | + | 0.0408978i | ||||
\(871\) | −0.869312 | + | 1.90353i | −0.0294555 | + | 0.0644986i | ||||
\(872\) | 0.965949 | + | 6.71832i | 0.0327112 | + | 0.227511i | ||||
\(873\) | −5.22839 | −0.176954 | ||||||||
\(874\) | 21.9965 | − | 22.9102i | 0.744044 | − | 0.774950i | ||||
\(875\) | 5.11454 | 0.172903 | ||||||||
\(876\) | −0.528548 | − | 3.67613i | −0.0178580 | − | 0.124205i | ||||
\(877\) | 19.1370 | − | 41.9043i | 0.646212 | − | 1.41501i | −0.248619 | − | 0.968601i | \(-0.579977\pi\) |
0.894831 | − | 0.446406i | \(-0.147296\pi\) | |||||||
\(878\) | 20.4115 | − | 5.99335i | 0.688854 | − | 0.202266i | ||||
\(879\) | −5.66550 | + | 6.53833i | −0.191092 | + | 0.220532i | ||||
\(880\) | 5.91637 | + | 1.73720i | 0.199441 | + | 0.0585611i | ||||
\(881\) | 14.6714 | − | 9.42875i | 0.494293 | − | 0.317663i | −0.269637 | − | 0.962962i | \(-0.586904\pi\) |
0.763930 | + | 0.645299i | \(0.223267\pi\) | |||||||
\(882\) | −7.95873 | − | 17.4272i | −0.267984 | − | 0.586804i | ||||
\(883\) | 36.5044 | + | 42.1283i | 1.22847 | + | 1.41773i | 0.876280 | + | 0.481801i | \(0.160017\pi\) |
0.352190 | + | 0.935929i | \(0.385437\pi\) | |||||||
\(884\) | −2.50383 | − | 1.60911i | −0.0842129 | − | 0.0541203i | ||||
\(885\) | −0.921966 | + | 6.41242i | −0.0309916 | + | 0.215551i | ||||
\(886\) | −0.996047 | + | 6.92766i | −0.0334629 | + | 0.232739i | ||||
\(887\) | 23.1789 | + | 14.8962i | 0.778271 | + | 0.500165i | 0.868460 | − | 0.495760i | \(-0.165110\pi\) |
−0.0901881 | + | 0.995925i | \(0.528747\pi\) | |||||||
\(888\) | 4.51174 | + | 5.20683i | 0.151404 | + | 0.174730i | ||||
\(889\) | −2.41385 | − | 5.28560i | −0.0809580 | − | 0.177273i | ||||
\(890\) | −2.11440 | + | 1.35884i | −0.0708748 | + | 0.0455485i | ||||
\(891\) | 5.91637 | + | 1.73720i | 0.198206 | + | 0.0581985i | ||||
\(892\) | 3.31308 | − | 3.82350i | 0.110930 | − | 0.128020i | ||||
\(893\) | 61.7083 | − | 18.1192i | 2.06499 | − | 0.606335i | ||||
\(894\) | 7.96331 | − | 17.4372i | 0.266333 | − | 0.583188i | ||||
\(895\) | −1.99744 | − | 13.8925i | −0.0667671 | − | 0.464376i | ||||
\(896\) | −5.11454 | −0.170865 | ||||||||
\(897\) | −6.97476 | − | 5.00313i | −0.232880 | − | 0.167050i | ||||
\(898\) | −25.5633 | −0.853059 | ||||||||
\(899\) | 0.986960 | + | 6.86446i | 0.0329170 | + | 0.228942i | ||||
\(900\) | 0.415415 | − | 0.909632i | 0.0138472 | − | 0.0303211i | ||||
\(901\) | −5.93105 | + | 1.74151i | −0.197592 | + | 0.0580183i | ||||
\(902\) | −33.7310 | + | 38.9276i | −1.12312 | + | 1.29615i | ||||
\(903\) | −63.7842 | − | 18.7287i | −2.12261 | − | 0.623253i | ||||
\(904\) | −0.120890 | + | 0.0776913i | −0.00402074 | + | 0.00258397i | ||||
\(905\) | 5.26373 | + | 11.5260i | 0.174972 | + | 0.383136i | ||||
\(906\) | 1.77148 | + | 2.04439i | 0.0588534 | + | 0.0679205i | ||||
\(907\) | 17.3024 | + | 11.1196i | 0.574518 | + | 0.369220i | 0.795404 | − | 0.606079i | \(-0.207259\pi\) |
−0.220886 | + | 0.975300i | \(0.570895\pi\) | |||||||
\(908\) | −3.19594 | + | 22.2283i | −0.106061 | + | 0.737671i | ||||
\(909\) | −0.626836 | + | 4.35974i | −0.0207908 | + | 0.144603i | ||||
\(910\) | 7.70087 | + | 4.94905i | 0.255281 | + | 0.164059i | ||||
\(911\) | −21.2963 | − | 24.5773i | −0.705580 | − | 0.814282i | 0.283915 | − | 0.958849i | \(-0.408366\pi\) |
−0.989495 | + | 0.144567i | \(0.953821\pi\) | |||||||
\(912\) | 2.75109 | + | 6.02405i | 0.0910977 | + | 0.199476i | ||||
\(913\) | 33.4277 | − | 21.4827i | 1.10630 | − | 0.710973i | ||||
\(914\) | −12.3987 | − | 3.64058i | −0.410112 | − | 0.120420i | ||||
\(915\) | 4.35778 | − | 5.02915i | 0.144064 | − | 0.166259i | ||||
\(916\) | 23.7774 | − | 6.98168i | 0.785628 | − | 0.230681i | ||||
\(917\) | −19.8249 | + | 43.4106i | −0.654677 | + | 1.43354i | ||||
\(918\) | −0.236658 | − | 1.64599i | −0.00781088 | − | 0.0543259i | ||||
\(919\) | −37.3525 | −1.23214 | −0.616072 | − | 0.787690i | \(-0.711277\pi\) | ||||
−0.616072 | + | 0.787690i | \(0.711277\pi\) | |||||||
\(920\) | −0.439369 | − | 4.77566i | −0.0144856 | − | 0.157449i | ||||
\(921\) | −31.6020 | −1.04132 | ||||||||
\(922\) | −1.18217 | − | 8.22217i | −0.0389327 | − | 0.270783i | ||||
\(923\) | 4.75571 | − | 10.4136i | 0.156536 | − | 0.342766i | ||||
\(924\) | −30.2595 | + | 8.88499i | −0.995465 | + | 0.292295i | ||||
\(925\) | 4.51174 | − | 5.20683i | 0.148345 | − | 0.171200i | ||||
\(926\) | −30.7716 | − | 9.03536i | −1.01122 | − | 0.296920i | ||||
\(927\) | −7.66752 | + | 4.92762i | −0.251834 | + | 0.161844i | ||||
\(928\) | −1.77871 | − | 3.89482i | −0.0583889 | − | 0.127854i | ||||
\(929\) | 3.26519 | + | 3.76823i | 0.107127 | + | 0.123632i | 0.806781 | − | 0.590851i | \(-0.201208\pi\) |
−0.699654 | + | 0.714482i | \(0.746662\pi\) | |||||||
\(930\) | −1.36256 | − | 0.875661i | −0.0446799 | − | 0.0287141i | ||||
\(931\) | 18.0565 | − | 125.586i | 0.591779 | − | 4.11591i | ||||
\(932\) | −1.90334 | + | 13.2380i | −0.0623459 | + | 0.433625i | ||||
\(933\) | 16.9186 | + | 10.8730i | 0.553892 | + | 0.355965i | ||||
\(934\) | −12.0758 | − | 13.9362i | −0.395132 | − | 0.456006i | ||||
\(935\) | −4.25958 | − | 9.32718i | −0.139303 | − | 0.305032i | ||||
\(936\) | 1.50568 | − | 0.967644i | 0.0492148 | − | 0.0316284i | ||||
\(937\) | 40.3571 | + | 11.8499i | 1.31841 | + | 0.387120i | 0.863918 | − | 0.503632i | \(-0.168003\pi\) |
0.454491 | + | 0.890752i | \(0.349821\pi\) | |||||||
\(938\) | 3.91599 | − | 4.51930i | 0.127862 | − | 0.147560i | ||||
\(939\) | 6.68944 | − | 1.96420i | 0.218302 | − | 0.0640992i | ||||
\(940\) | 4.03423 | − | 8.83374i | 0.131582 | − | 0.288125i | ||||
\(941\) | 5.13220 | + | 35.6952i | 0.167305 | + | 1.16363i | 0.884425 | + | 0.466681i | \(0.154551\pi\) |
−0.717121 | + | 0.696949i | \(0.754540\pi\) | |||||||
\(942\) | −9.69433 | −0.315858 | ||||||||
\(943\) | 37.8129 | + | 13.2337i | 1.23136 | + | 0.430949i | ||||
\(944\) | −6.47836 | −0.210853 | ||||||||
\(945\) | 0.727875 | + | 5.06248i | 0.0236778 | + | 0.164682i | ||||
\(946\) | −33.2936 | + | 72.9028i | −1.08247 | + | 2.37028i | ||||
\(947\) | −27.3449 | + | 8.02918i | −0.888589 | + | 0.260913i | −0.694003 | − | 0.719972i | \(-0.744155\pi\) |
−0.194586 | + | 0.980885i | \(0.562336\pi\) | |||||||
\(948\) | −3.68206 | + | 4.24932i | −0.119588 | + | 0.138012i | ||||
\(949\) | −6.37797 | − | 1.87274i | −0.207038 | − | 0.0607918i | ||||
\(950\) | 5.57121 | − | 3.58040i | 0.180754 | − | 0.116164i | ||||
\(951\) | −7.30734 | − | 16.0008i | −0.236957 | − | 0.518863i | ||||
\(952\) | 5.56963 | + | 6.42770i | 0.180513 | + | 0.208323i | ||||
\(953\) | 42.7687 | + | 27.4858i | 1.38541 | + | 0.890351i | 0.999482 | − | 0.0321763i | \(-0.0102438\pi\) |
0.385931 | + | 0.922528i | \(0.373880\pi\) | |||||||
\(954\) | 0.529016 | − | 3.67939i | 0.0171275 | − | 0.119125i | ||||
\(955\) | 0.0608330 | − | 0.423103i | 0.00196851 | − | 0.0136913i | ||||
\(956\) | −0.264849 | − | 0.170208i | −0.00856582 | − | 0.00550492i | ||||
\(957\) | −17.2896 | − | 19.9533i | −0.558893 | − | 0.644997i | ||||
\(958\) | 7.37021 | + | 16.1385i | 0.238121 | + | 0.521411i | ||||
\(959\) | 77.4292 | − | 49.7607i | 2.50032 | − | 1.60686i | ||||
\(960\) | 0.959493 | + | 0.281733i | 0.0309675 | + | 0.00909288i | ||||
\(961\) | 18.5828 | − | 21.4456i | 0.599444 | − | 0.691795i | ||||
\(962\) | 11.8316 | − | 3.47408i | 0.381467 | − | 0.112009i | ||||
\(963\) | 1.14039 | − | 2.49710i | 0.0367485 | − | 0.0804679i | ||||
\(964\) | −1.32767 | − | 9.23413i | −0.0427613 | − | 0.297411i | ||||
\(965\) | −12.2328 | −0.393788 | ||||||||
\(966\) | 15.0958 | + | 19.3330i | 0.485698 | + | 0.622028i | ||||
\(967\) | 24.7582 | 0.796172 | 0.398086 | − | 0.917348i | \(-0.369675\pi\) | ||||
0.398086 | + | 0.917348i | \(0.369675\pi\) | |||||||
\(968\) | 3.84554 | + | 26.7463i | 0.123600 | + | 0.859659i | ||||
\(969\) | 4.57484 | − | 10.0175i | 0.146965 | − | 0.321809i | ||||
\(970\) | −5.01660 | + | 1.47301i | −0.161073 | + | 0.0472954i | ||||
\(971\) | 15.4558 | − | 17.8369i | 0.495999 | − | 0.572414i | −0.451459 | − | 0.892292i | \(-0.649096\pi\) |
0.947459 | + | 0.319878i | \(0.103642\pi\) | |||||||
\(972\) | 0.959493 | + | 0.281733i | 0.0307758 | + | 0.00903658i | ||||
\(973\) | 93.5252 | − | 60.1050i | 2.99828 | − | 1.92688i | ||||
\(974\) | −0.673896 | − | 1.47563i | −0.0215930 | − | 0.0472821i | ||||
\(975\) | −1.17208 | − | 1.35265i | −0.0375365 | − | 0.0433194i | ||||
\(976\) | 5.59814 | + | 3.59770i | 0.179192 | + | 0.115160i | ||||
\(977\) | 0.123395 | − | 0.858229i | 0.00394775 | − | 0.0274572i | −0.987752 | − | 0.156030i | \(-0.950130\pi\) |
0.991700 | + | 0.128573i | \(0.0410395\pi\) | |||||||
\(978\) | 0.893813 | − | 6.21661i | 0.0285810 | − | 0.198785i | ||||
\(979\) | −13.0377 | − | 8.37881i | −0.416686 | − | 0.267788i | ||||
\(980\) | −12.5461 | − | 14.4790i | −0.400772 | − | 0.462515i | ||||
\(981\) | 2.81959 | + | 6.17405i | 0.0900227 | + | 0.197122i | ||||
\(982\) | −6.69512 | + | 4.30269i | −0.213650 | + | 0.137305i | ||||
\(983\) | −38.2878 | − | 11.2423i | −1.22119 | − | 0.358574i | −0.393272 | − | 0.919422i | \(-0.628657\pi\) |
−0.827919 | + | 0.560848i | \(0.810475\pi\) | |||||||
\(984\) | −5.47035 | + | 6.31312i | −0.174388 | + | 0.201255i | ||||
\(985\) | −16.4163 | + | 4.82026i | −0.523067 | + | 0.153586i | ||||
\(986\) | −2.95784 | + | 6.47678i | −0.0941970 | + | 0.206263i | ||||
\(987\) | 7.06863 | + | 49.1634i | 0.224997 | + | 1.56489i | ||||
\(988\) | 11.8530 | 0.377095 | ||||||||
\(989\) | 62.2533 | + | 3.18119i | 1.97954 | + | 0.101156i | ||||
\(990\) | 6.16614 | 0.195973 | ||||||||
\(991\) | −0.277943 | − | 1.93314i | −0.00882916 | − | 0.0614081i | 0.984931 | − | 0.172950i | \(-0.0553300\pi\) |
−0.993760 | + | 0.111542i | \(0.964421\pi\) | |||||||
\(992\) | 0.672836 | − | 1.47331i | 0.0213626 | − | 0.0467775i | ||||
\(993\) | −15.7754 | + | 4.63209i | −0.500618 | + | 0.146995i | ||||
\(994\) | −21.4231 | + | 24.7236i | −0.679499 | + | 0.784183i | ||||
\(995\) | −15.2193 | − | 4.46878i | −0.482484 | − | 0.141670i | ||||
\(996\) | 5.42117 | − | 3.48397i | 0.171776 | − | 0.110394i | ||||
\(997\) | −1.32756 | − | 2.90695i | −0.0420443 | − | 0.0920641i | 0.887444 | − | 0.460915i | \(-0.152479\pi\) |
−0.929489 | + | 0.368851i | \(0.879751\pi\) | |||||||
\(998\) | 21.4126 | + | 24.7114i | 0.677803 | + | 0.782226i | ||||
\(999\) | 5.79592 | + | 3.72481i | 0.183375 | + | 0.117848i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 690.2.m.e.601.2 | yes | 20 | |
23.8 | even | 11 | inner | 690.2.m.e.31.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.e.31.2 | ✓ | 20 | 23.8 | even | 11 | inner | |
690.2.m.e.601.2 | yes | 20 | 1.1 | even | 1 | trivial |