Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(92,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.w (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 92.9 | ||
Character | \(\chi\) | \(=\) | 637.92 |
Dual form | 637.2.w.b.547.9 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.807700 | + | 1.01282i | −0.571130 | + | 0.716175i | −0.980572 | − | 0.196162i | \(-0.937152\pi\) |
0.409441 | + | 0.912337i | \(0.365724\pi\) | |||||||
\(3\) | −2.74330 | − | 1.32111i | −1.58385 | − | 0.762741i | −0.585014 | − | 0.811024i | \(-0.698911\pi\) |
−0.998834 | + | 0.0482829i | \(0.984625\pi\) | |||||||
\(4\) | 0.0716088 | + | 0.313739i | 0.0358044 | + | 0.156869i | ||||
\(5\) | 2.02464 | + | 0.975017i | 0.905448 | + | 0.436041i | 0.827854 | − | 0.560944i | \(-0.189562\pi\) |
0.0775945 | + | 0.996985i | \(0.475276\pi\) | |||||||
\(6\) | 3.55382 | − | 1.71143i | 1.45084 | − | 0.698687i | ||||
\(7\) | 0.327305 | + | 2.62543i | 0.123710 | + | 0.992318i | ||||
\(8\) | −2.70992 | − | 1.30503i | −0.958102 | − | 0.461398i | ||||
\(9\) | 3.90993 | + | 4.90289i | 1.30331 | + | 1.63430i | ||||
\(10\) | −2.62283 | + | 1.26309i | −0.829411 | + | 0.399423i | ||||
\(11\) | 0.920319 | − | 1.15404i | 0.277487 | − | 0.347957i | −0.623485 | − | 0.781835i | \(-0.714284\pi\) |
0.900972 | + | 0.433878i | \(0.142855\pi\) | |||||||
\(12\) | 0.218037 | − | 0.955283i | 0.0629419 | − | 0.275767i | ||||
\(13\) | 0.623490 | − | 0.781831i | 0.172925 | − | 0.216841i | ||||
\(14\) | −2.92346 | − | 1.78906i | −0.781328 | − | 0.478145i | ||||
\(15\) | −4.26611 | − | 5.34954i | −1.10151 | − | 1.38124i | ||||
\(16\) | 2.93069 | − | 1.41135i | 0.732674 | − | 0.352837i | ||||
\(17\) | −0.687909 | + | 3.01393i | −0.166843 | + | 0.730985i | 0.820404 | + | 0.571785i | \(0.193749\pi\) |
−0.987246 | + | 0.159200i | \(0.949108\pi\) | |||||||
\(18\) | −8.12382 | −1.91480 | ||||||||
\(19\) | 8.01334 | 1.83839 | 0.919193 | − | 0.393807i | \(-0.128842\pi\) | ||||
0.919193 | + | 0.393807i | \(0.128842\pi\) | |||||||
\(20\) | −0.160918 | + | 0.705029i | −0.0359824 | + | 0.157649i | ||||
\(21\) | 2.57057 | − | 7.63475i | 0.560944 | − | 1.66604i | ||||
\(22\) | 0.425501 | + | 1.86424i | 0.0907172 | + | 0.397458i | ||||
\(23\) | −0.871587 | − | 3.81867i | −0.181738 | − | 0.796248i | −0.980803 | − | 0.195002i | \(-0.937529\pi\) |
0.799064 | − | 0.601245i | \(-0.205329\pi\) | |||||||
\(24\) | 5.71006 | + | 7.16019i | 1.16556 | + | 1.46157i | ||||
\(25\) | 0.0310749 | + | 0.0389667i | 0.00621498 | + | 0.00779333i | ||||
\(26\) | 0.288265 | + | 1.26297i | 0.0565334 | + | 0.247689i | ||||
\(27\) | −2.21626 | − | 9.71006i | −0.426519 | − | 1.86870i | ||||
\(28\) | −0.800260 | + | 0.290692i | −0.151235 | + | 0.0549356i | ||||
\(29\) | −2.13245 | + | 9.34287i | −0.395986 | + | 1.73493i | 0.246969 | + | 0.969023i | \(0.420566\pi\) |
−0.642955 | + | 0.765904i | \(0.722292\pi\) | |||||||
\(30\) | 8.86388 | 1.61832 | ||||||||
\(31\) | −0.571629 | −0.102668 | −0.0513338 | − | 0.998682i | \(-0.516347\pi\) | ||||
−0.0513338 | + | 0.998682i | \(0.516347\pi\) | |||||||
\(32\) | 0.400915 | − | 1.75653i | 0.0708725 | − | 0.310513i | ||||
\(33\) | −4.04933 | + | 1.95005i | −0.704897 | + | 0.339461i | ||||
\(34\) | −2.49695 | − | 3.13108i | −0.428224 | − | 0.536976i | ||||
\(35\) | −1.89716 | + | 5.63468i | −0.320679 | + | 0.952435i | ||||
\(36\) | −1.25824 | + | 1.57779i | −0.209707 | + | 0.262964i | ||||
\(37\) | −1.03389 | + | 4.52979i | −0.169971 | + | 0.744693i | 0.816037 | + | 0.577999i | \(0.196166\pi\) |
−0.986009 | + | 0.166694i | \(0.946691\pi\) | |||||||
\(38\) | −6.47238 | + | 8.11610i | −1.04996 | + | 1.31661i | ||||
\(39\) | −2.74330 | + | 1.32111i | −0.439280 | + | 0.211546i | ||||
\(40\) | −4.21420 | − | 5.28444i | −0.666324 | − | 0.835543i | ||||
\(41\) | 4.62696 | + | 2.22822i | 0.722609 | + | 0.347990i | 0.758773 | − | 0.651356i | \(-0.225799\pi\) |
−0.0361634 | + | 0.999346i | \(0.511514\pi\) | |||||||
\(42\) | 5.65641 | + | 8.77013i | 0.872803 | + | 1.35326i | ||||
\(43\) | −6.68214 | + | 3.21795i | −1.01902 | + | 0.490733i | −0.867350 | − | 0.497699i | \(-0.834178\pi\) |
−0.151667 | + | 0.988432i | \(0.548464\pi\) | |||||||
\(44\) | 0.427971 | + | 0.206100i | 0.0645191 | + | 0.0310707i | ||||
\(45\) | 3.13580 | + | 13.7389i | 0.467458 | + | 2.04807i | ||||
\(46\) | 4.57162 | + | 2.20158i | 0.674049 | + | 0.324605i | ||||
\(47\) | −4.13030 | + | 5.17923i | −0.602466 | + | 0.755468i | −0.985760 | − | 0.168158i | \(-0.946218\pi\) |
0.383294 | + | 0.923626i | \(0.374789\pi\) | |||||||
\(48\) | −9.90433 | −1.42957 | ||||||||
\(49\) | −6.78574 | + | 1.71863i | −0.969392 | + | 0.245519i | ||||
\(50\) | −0.0645656 | −0.00913095 | ||||||||
\(51\) | 5.86886 | − | 7.35932i | 0.821805 | − | 1.03051i | ||||
\(52\) | 0.289938 | + | 0.139627i | 0.0402072 | + | 0.0193628i | ||||
\(53\) | 0.0492321 | + | 0.215700i | 0.00676255 | + | 0.0296287i | 0.978197 | − | 0.207681i | \(-0.0665916\pi\) |
−0.971434 | + | 0.237310i | \(0.923734\pi\) | |||||||
\(54\) | 11.6247 | + | 5.59814i | 1.58192 | + | 0.761810i | ||||
\(55\) | 2.98853 | − | 1.43920i | 0.402973 | − | 0.194062i | ||||
\(56\) | 2.53929 | − | 7.54185i | 0.339327 | − | 1.00782i | ||||
\(57\) | −21.9830 | − | 10.5865i | −2.91172 | − | 1.40221i | ||||
\(58\) | −7.74031 | − | 9.70604i | −1.01635 | − | 1.27447i | ||||
\(59\) | −9.48023 | + | 4.56544i | −1.23422 | + | 0.594370i | −0.933238 | − | 0.359260i | \(-0.883029\pi\) |
−0.300984 | + | 0.953629i | \(0.597315\pi\) | |||||||
\(60\) | 1.37287 | − | 1.72152i | 0.177236 | − | 0.222247i | ||||
\(61\) | −2.08561 | + | 9.13766i | −0.267035 | + | 1.16996i | 0.646408 | + | 0.762992i | \(0.276270\pi\) |
−0.913443 | + | 0.406966i | \(0.866587\pi\) | |||||||
\(62\) | 0.461705 | − | 0.578960i | 0.0586366 | − | 0.0735280i | ||||
\(63\) | −11.5925 | + | 11.8700i | −1.46051 | + | 1.49548i | ||||
\(64\) | 5.51144 | + | 6.91113i | 0.688930 | + | 0.863891i | ||||
\(65\) | 2.02464 | − | 0.975017i | 0.251126 | − | 0.120936i | ||||
\(66\) | 1.29558 | − | 5.67632i | 0.159475 | − | 0.698706i | ||||
\(67\) | 2.01084 | 0.245663 | 0.122832 | − | 0.992428i | \(-0.460802\pi\) | ||||
0.122832 | + | 0.992428i | \(0.460802\pi\) | |||||||
\(68\) | −0.994846 | −0.120643 | ||||||||
\(69\) | −2.65384 | + | 11.6272i | −0.319485 | + | 1.39975i | ||||
\(70\) | −4.17461 | − | 6.47263i | −0.498961 | − | 0.773627i | ||||
\(71\) | −3.29304 | − | 14.4277i | −0.390812 | − | 1.71226i | −0.661805 | − | 0.749676i | \(-0.730209\pi\) |
0.270993 | − | 0.962581i | \(-0.412648\pi\) | |||||||
\(72\) | −4.19718 | − | 18.3890i | −0.494642 | − | 2.16717i | ||||
\(73\) | 10.4056 | + | 13.0481i | 1.21788 | + | 1.52717i | 0.776862 | + | 0.629671i | \(0.216810\pi\) |
0.441016 | + | 0.897499i | \(0.354618\pi\) | |||||||
\(74\) | −3.75280 | − | 4.70587i | −0.436255 | − | 0.547046i | ||||
\(75\) | −0.0337688 | − | 0.147951i | −0.00389928 | − | 0.0170839i | ||||
\(76\) | 0.573826 | + | 2.51409i | 0.0658223 | + | 0.288386i | ||||
\(77\) | 3.33108 | + | 2.03851i | 0.379612 | + | 0.232309i | ||||
\(78\) | 0.877720 | − | 3.84554i | 0.0993822 | − | 0.435422i | ||||
\(79\) | −4.15138 | −0.467067 | −0.233533 | − | 0.972349i | \(-0.575029\pi\) | ||||
−0.233533 | + | 0.972349i | \(0.575029\pi\) | |||||||
\(80\) | 7.30970 | 0.817249 | ||||||||
\(81\) | −2.56184 | + | 11.2241i | −0.284648 | + | 1.24713i | ||||
\(82\) | −5.99399 | + | 2.88656i | −0.661926 | + | 0.318767i | ||||
\(83\) | −1.02639 | − | 1.28705i | −0.112661 | − | 0.141272i | 0.722304 | − | 0.691576i | \(-0.243083\pi\) |
−0.834964 | + | 0.550304i | \(0.814512\pi\) | |||||||
\(84\) | 2.57939 | + | 0.259772i | 0.281435 | + | 0.0283434i | ||||
\(85\) | −4.33140 | + | 5.43141i | −0.469807 | + | 0.589119i | ||||
\(86\) | 2.13795 | − | 9.36697i | 0.230541 | − | 1.01007i | ||||
\(87\) | 18.1929 | − | 22.8131i | 1.95048 | − | 2.44583i | ||||
\(88\) | −4.00005 | + | 1.92632i | −0.426407 | + | 0.205347i | ||||
\(89\) | −1.42108 | − | 1.78197i | −0.150634 | − | 0.188889i | 0.700789 | − | 0.713368i | \(-0.252831\pi\) |
−0.851423 | + | 0.524480i | \(0.824260\pi\) | |||||||
\(90\) | −16.4478 | − | 7.92086i | −1.73375 | − | 0.834932i | ||||
\(91\) | 2.25671 | + | 1.38103i | 0.236568 | + | 0.144771i | ||||
\(92\) | 1.13565 | − | 0.546901i | 0.118400 | − | 0.0570184i | ||||
\(93\) | 1.56815 | + | 0.755183i | 0.162610 | + | 0.0783088i | ||||
\(94\) | −1.90961 | − | 8.36653i | −0.196961 | − | 0.862941i | ||||
\(95\) | 16.2242 | + | 7.81314i | 1.66456 | + | 0.801611i | ||||
\(96\) | −3.42039 | + | 4.28903i | −0.349092 | + | 0.437747i | ||||
\(97\) | −2.98125 | −0.302700 | −0.151350 | − | 0.988480i | \(-0.548362\pi\) | ||||
−0.151350 | + | 0.988480i | \(0.548362\pi\) | |||||||
\(98\) | 3.74017 | − | 8.26091i | 0.377815 | − | 0.834477i | ||||
\(99\) | 9.25653 | 0.930316 | ||||||||
\(100\) | −0.0100001 | + | 0.0125398i | −0.00100001 | + | 0.00125398i | ||||
\(101\) | 1.31168 | + | 0.631672i | 0.130517 | + | 0.0628538i | 0.498003 | − | 0.867175i | \(-0.334067\pi\) |
−0.367486 | + | 0.930029i | \(0.619781\pi\) | |||||||
\(102\) | 2.71342 | + | 11.8883i | 0.268668 | + | 1.17711i | ||||
\(103\) | 12.6604 | + | 6.09691i | 1.24746 | + | 0.600747i | 0.936831 | − | 0.349783i | \(-0.113745\pi\) |
0.310633 | + | 0.950530i | \(0.399459\pi\) | |||||||
\(104\) | −2.70992 | + | 1.30503i | −0.265730 | + | 0.127969i | ||||
\(105\) | 12.6485 | − | 12.9513i | 1.23437 | − | 1.26392i | ||||
\(106\) | −0.258231 | − | 0.124358i | −0.0250816 | − | 0.0120787i | ||||
\(107\) | 1.25596 | + | 1.57492i | 0.121418 | + | 0.152254i | 0.838826 | − | 0.544400i | \(-0.183243\pi\) |
−0.717407 | + | 0.696654i | \(0.754671\pi\) | |||||||
\(108\) | 2.88772 | − | 1.39065i | 0.277871 | − | 0.133816i | ||||
\(109\) | 4.81661 | − | 6.03984i | 0.461348 | − | 0.578512i | −0.495681 | − | 0.868505i | \(-0.665081\pi\) |
0.957029 | + | 0.289993i | \(0.0936529\pi\) | |||||||
\(110\) | −0.956180 | + | 4.18930i | −0.0911682 | + | 0.399434i | ||||
\(111\) | 8.82062 | − | 11.0607i | 0.837216 | − | 1.04984i | ||||
\(112\) | 4.66463 | + | 7.23239i | 0.440766 | + | 0.683396i | ||||
\(113\) | −4.58339 | − | 5.74739i | −0.431169 | − | 0.540669i | 0.518023 | − | 0.855367i | \(-0.326668\pi\) |
−0.949192 | + | 0.314698i | \(0.898097\pi\) | |||||||
\(114\) | 28.4779 | − | 13.7142i | 2.66720 | − | 1.28446i | ||||
\(115\) | 1.95862 | − | 8.58126i | 0.182642 | − | 0.800206i | ||||
\(116\) | −3.08392 | −0.286335 | ||||||||
\(117\) | 6.27104 | 0.579757 | ||||||||
\(118\) | 3.03320 | − | 13.2893i | 0.279229 | − | 1.22338i | ||||
\(119\) | −8.13801 | − | 0.819582i | −0.746010 | − | 0.0751309i | ||||
\(120\) | 4.57953 | + | 20.0642i | 0.418052 | + | 1.83161i | ||||
\(121\) | 1.96290 | + | 8.60003i | 0.178446 | + | 0.781821i | ||||
\(122\) | −7.57030 | − | 9.49285i | −0.685382 | − | 0.859442i | ||||
\(123\) | −9.74943 | − | 12.2254i | −0.879076 | − | 1.10233i | ||||
\(124\) | −0.0409337 | − | 0.179342i | −0.00367596 | − | 0.0161054i | ||||
\(125\) | −2.47531 | − | 10.8450i | −0.221398 | − | 0.970008i | ||||
\(126\) | −2.65897 | − | 21.3285i | −0.236880 | − | 1.90009i | ||||
\(127\) | 3.77441 | − | 16.5368i | 0.334925 | − | 1.46740i | −0.474540 | − | 0.880234i | \(-0.657386\pi\) |
0.809465 | − | 0.587168i | \(-0.199757\pi\) | |||||||
\(128\) | −7.84795 | −0.693668 | ||||||||
\(129\) | 22.5824 | 1.98827 | ||||||||
\(130\) | −0.647785 | + | 2.83813i | −0.0568145 | + | 0.248920i | ||||
\(131\) | −4.50138 | + | 2.16775i | −0.393288 | + | 0.189397i | −0.620067 | − | 0.784549i | \(-0.712895\pi\) |
0.226780 | + | 0.973946i | \(0.427180\pi\) | |||||||
\(132\) | −0.901775 | − | 1.13079i | −0.0784894 | − | 0.0984226i | ||||
\(133\) | 2.62281 | + | 21.0384i | 0.227426 | + | 1.82426i | ||||
\(134\) | −1.62416 | + | 2.03663i | −0.140306 | + | 0.175938i | ||||
\(135\) | 4.98034 | − | 21.8203i | 0.428640 | − | 1.87799i | ||||
\(136\) | 5.79745 | − | 7.26977i | 0.497127 | − | 0.623378i | ||||
\(137\) | −14.7835 | + | 7.11936i | −1.26304 | + | 0.608248i | −0.940977 | − | 0.338470i | \(-0.890091\pi\) |
−0.322063 | + | 0.946718i | \(0.604376\pi\) | |||||||
\(138\) | −9.63283 | − | 12.0792i | −0.820001 | − | 1.02825i | ||||
\(139\) | 13.5797 | + | 6.53965i | 1.15182 | + | 0.554686i | 0.909579 | − | 0.415531i | \(-0.136404\pi\) |
0.242238 | + | 0.970217i | \(0.422119\pi\) | |||||||
\(140\) | −1.90367 | − | 0.191720i | −0.160890 | − | 0.0162033i | ||||
\(141\) | 18.1730 | − | 8.75164i | 1.53044 | − | 0.737021i | ||||
\(142\) | 17.2725 | + | 8.31802i | 1.44948 | + | 0.698033i | ||||
\(143\) | −0.328458 | − | 1.43907i | −0.0274670 | − | 0.120341i | ||||
\(144\) | 18.3785 | + | 8.85062i | 1.53154 | + | 0.737551i | ||||
\(145\) | −13.4269 | + | 16.8368i | −1.11504 | + | 1.39822i | ||||
\(146\) | −21.6200 | −1.78929 | ||||||||
\(147\) | 20.8858 | + | 4.24995i | 1.72264 | + | 0.350530i | ||||
\(148\) | −1.49521 | −0.122905 | ||||||||
\(149\) | −2.82883 | + | 3.54724i | −0.231747 | + | 0.290602i | −0.884084 | − | 0.467327i | \(-0.845217\pi\) |
0.652338 | + | 0.757929i | \(0.273788\pi\) | |||||||
\(150\) | 0.177123 | + | 0.0852980i | 0.0144620 | + | 0.00696455i | ||||
\(151\) | −3.87717 | − | 16.9870i | −0.315519 | − | 1.38238i | −0.845321 | − | 0.534259i | \(-0.820591\pi\) |
0.529801 | − | 0.848122i | \(-0.322266\pi\) | |||||||
\(152\) | −21.7155 | − | 10.4576i | −1.76136 | − | 0.848227i | ||||
\(153\) | −17.4666 | + | 8.41149i | −1.41209 | + | 0.680029i | ||||
\(154\) | −4.75517 | + | 1.72730i | −0.383182 | + | 0.139190i | ||||
\(155\) | −1.15735 | − | 0.557348i | −0.0929603 | − | 0.0447673i | ||||
\(156\) | −0.610927 | − | 0.766078i | −0.0489133 | − | 0.0613353i | ||||
\(157\) | −1.66767 | + | 0.803105i | −0.133094 | + | 0.0640948i | −0.499246 | − | 0.866460i | \(-0.666389\pi\) |
0.366152 | + | 0.930555i | \(0.380675\pi\) | |||||||
\(158\) | 3.35307 | − | 4.20462i | 0.266756 | − | 0.334502i | ||||
\(159\) | 0.149904 | − | 0.656772i | 0.0118881 | − | 0.0520854i | ||||
\(160\) | 2.52435 | − | 3.16544i | 0.199568 | − | 0.250250i | ||||
\(161\) | 9.74037 | − | 3.53816i | 0.767649 | − | 0.278846i | ||||
\(162\) | −9.29888 | − | 11.6604i | −0.730589 | − | 0.916130i | ||||
\(163\) | −20.7483 | + | 9.99185i | −1.62513 | + | 0.782622i | −0.625133 | + | 0.780518i | \(0.714955\pi\) |
−0.999998 | + | 0.00210380i | \(0.999330\pi\) | |||||||
\(164\) | −0.367750 | + | 1.61122i | −0.0287164 | + | 0.125815i | ||||
\(165\) | −10.0998 | −0.786267 | ||||||||
\(166\) | 2.13257 | 0.165519 | ||||||||
\(167\) | −0.174831 | + | 0.765987i | −0.0135289 | + | 0.0592738i | −0.981242 | − | 0.192781i | \(-0.938249\pi\) |
0.967713 | + | 0.252055i | \(0.0811064\pi\) | |||||||
\(168\) | −16.9296 | + | 17.3349i | −1.30615 | + | 1.33742i | ||||
\(169\) | −0.222521 | − | 0.974928i | −0.0171170 | − | 0.0749945i | ||||
\(170\) | −2.00259 | − | 8.77390i | −0.153591 | − | 0.672927i | ||||
\(171\) | 31.3316 | + | 39.2885i | 2.39599 | + | 3.00447i | ||||
\(172\) | −1.48810 | − | 1.86601i | −0.113466 | − | 0.142282i | ||||
\(173\) | −2.62380 | − | 11.4956i | −0.199484 | − | 0.873996i | −0.971245 | − | 0.238083i | \(-0.923481\pi\) |
0.771761 | − | 0.635913i | \(-0.219376\pi\) | |||||||
\(174\) | 8.41131 | + | 36.8524i | 0.637660 | + | 2.79377i | ||||
\(175\) | −0.0921332 | + | 0.0943389i | −0.00696462 | + | 0.00713135i | ||||
\(176\) | 1.06842 | − | 4.68104i | 0.0805349 | − | 0.352847i | ||||
\(177\) | 32.0386 | 2.40817 | ||||||||
\(178\) | 2.95263 | 0.221309 | ||||||||
\(179\) | −2.94055 | + | 12.8834i | −0.219787 | + | 0.962950i | 0.737848 | + | 0.674967i | \(0.235842\pi\) |
−0.957635 | + | 0.287984i | \(0.907015\pi\) | |||||||
\(180\) | −4.08586 | + | 1.96765i | −0.304542 | + | 0.146660i | ||||
\(181\) | −0.0950420 | − | 0.119179i | −0.00706441 | − | 0.00885849i | 0.778287 | − | 0.627909i | \(-0.216089\pi\) |
−0.785351 | + | 0.619051i | \(0.787518\pi\) | |||||||
\(182\) | −3.22149 | + | 1.17020i | −0.238793 | + | 0.0867407i | ||||
\(183\) | 17.7933 | − | 22.3121i | 1.31532 | − | 1.64936i | ||||
\(184\) | −2.62155 | + | 11.4857i | −0.193263 | + | 0.846741i | ||||
\(185\) | −6.50989 | + | 8.16314i | −0.478617 | + | 0.600166i | ||||
\(186\) | −2.03147 | + | 0.978302i | −0.148954 | + | 0.0717326i | ||||
\(187\) | 2.84511 | + | 3.56765i | 0.208055 | + | 0.260893i | ||||
\(188\) | −1.92069 | − | 0.924955i | −0.140081 | − | 0.0674593i | ||||
\(189\) | 24.7677 | − | 8.99678i | 1.80158 | − | 0.654419i | ||||
\(190\) | −21.0176 | + | 10.1215i | −1.52478 | + | 0.734294i | ||||
\(191\) | 16.7907 | + | 8.08598i | 1.21493 | + | 0.585081i | 0.927896 | − | 0.372838i | \(-0.121615\pi\) |
0.287037 | + | 0.957919i | \(0.407330\pi\) | |||||||
\(192\) | −5.98923 | − | 26.2405i | −0.432235 | − | 1.89375i | ||||
\(193\) | 24.8472 | + | 11.9658i | 1.78854 | + | 0.861315i | 0.947082 | + | 0.320990i | \(0.104016\pi\) |
0.841457 | + | 0.540325i | \(0.181699\pi\) | |||||||
\(194\) | 2.40796 | − | 3.01948i | 0.172881 | − | 0.216786i | ||||
\(195\) | −6.84231 | −0.489988 | ||||||||
\(196\) | −1.02512 | − | 2.00588i | −0.0732229 | − | 0.143277i | ||||
\(197\) | −2.75500 | −0.196286 | −0.0981429 | − | 0.995172i | \(-0.531290\pi\) | ||||
−0.0981429 | + | 0.995172i | \(0.531290\pi\) | |||||||
\(198\) | −7.47650 | + | 9.37524i | −0.531332 | + | 0.666269i | ||||
\(199\) | 2.05054 | + | 0.987487i | 0.145359 | + | 0.0700011i | 0.505149 | − | 0.863032i | \(-0.331437\pi\) |
−0.359790 | + | 0.933033i | \(0.617152\pi\) | |||||||
\(200\) | −0.0333579 | − | 0.146150i | −0.00235876 | − | 0.0103344i | ||||
\(201\) | −5.51634 | − | 2.65653i | −0.389093 | − | 0.187377i | ||||
\(202\) | −1.69922 | + | 0.818301i | −0.119557 | + | 0.0575754i | ||||
\(203\) | −25.2270 | − | 2.54062i | −1.77059 | − | 0.178317i | ||||
\(204\) | 2.72917 | + | 1.31430i | 0.191080 | + | 0.0920192i | ||||
\(205\) | 7.19538 | + | 9.02272i | 0.502547 | + | 0.630174i | ||||
\(206\) | −16.4009 | + | 7.89825i | −1.14270 | + | 0.550297i | ||||
\(207\) | 15.3147 | − | 19.2040i | 1.06444 | − | 1.33477i | ||||
\(208\) | 0.723822 | − | 3.17127i | 0.0501880 | − | 0.219888i | ||||
\(209\) | 7.37483 | − | 9.24774i | 0.510127 | − | 0.639680i | ||||
\(210\) | 2.90120 | + | 23.2715i | 0.200202 | + | 1.60588i | ||||
\(211\) | −4.51787 | − | 5.66522i | −0.311023 | − | 0.390010i | 0.601611 | − | 0.798790i | \(-0.294526\pi\) |
−0.912633 | + | 0.408779i | \(0.865955\pi\) | |||||||
\(212\) | −0.0641480 | + | 0.0308921i | −0.00440570 | + | 0.00212167i | ||||
\(213\) | −10.0268 | + | 43.9301i | −0.687022 | + | 3.01004i | ||||
\(214\) | −2.60956 | −0.178386 | ||||||||
\(215\) | −16.6665 | −1.13665 | ||||||||
\(216\) | −6.66603 | + | 29.2058i | −0.453566 | + | 1.98720i | ||||
\(217\) | −0.187097 | − | 1.50077i | −0.0127010 | − | 0.101879i | ||||
\(218\) | 2.22692 | + | 9.75677i | 0.150826 | + | 0.660812i | ||||
\(219\) | −11.3076 | − | 49.5419i | −0.764097 | − | 3.34773i | ||||
\(220\) | 0.665538 | + | 0.834558i | 0.0448706 | + | 0.0562659i | ||||
\(221\) | 1.92748 | + | 2.41698i | 0.129656 | + | 0.162584i | ||||
\(222\) | 4.07813 | + | 17.8675i | 0.273706 | + | 1.19919i | ||||
\(223\) | 3.45748 | + | 15.1482i | 0.231530 | + | 1.01440i | 0.948371 | + | 0.317162i | \(0.102730\pi\) |
−0.716842 | + | 0.697236i | \(0.754413\pi\) | |||||||
\(224\) | 4.74285 | + | 0.477654i | 0.316895 | + | 0.0319146i | ||||
\(225\) | −0.0695489 | + | 0.304714i | −0.00463659 | + | 0.0203142i | ||||
\(226\) | 9.52310 | 0.633467 | ||||||||
\(227\) | −3.73124 | −0.247651 | −0.123826 | − | 0.992304i | \(-0.539516\pi\) | ||||
−0.123826 | + | 0.992304i | \(0.539516\pi\) | |||||||
\(228\) | 1.74721 | − | 7.65501i | 0.115712 | − | 0.506965i | ||||
\(229\) | 7.01140 | − | 3.37651i | 0.463326 | − | 0.223126i | −0.187632 | − | 0.982239i | \(-0.560081\pi\) |
0.650959 | + | 0.759113i | \(0.274367\pi\) | |||||||
\(230\) | 7.10933 | + | 8.91482i | 0.468775 | + | 0.587826i | ||||
\(231\) | −6.44509 | − | 9.99295i | −0.424056 | − | 0.657488i | ||||
\(232\) | 17.9715 | − | 22.5355i | 1.17989 | − | 1.47953i | ||||
\(233\) | 6.11213 | − | 26.7790i | 0.400419 | − | 1.75435i | −0.225288 | − | 0.974292i | \(-0.572332\pi\) |
0.625707 | − | 0.780058i | \(-0.284810\pi\) | |||||||
\(234\) | −5.06512 | + | 6.35146i | −0.331117 | + | 0.415208i | ||||
\(235\) | −13.4122 | + | 6.45898i | −0.874916 | + | 0.421337i | ||||
\(236\) | −2.11122 | − | 2.64739i | −0.137429 | − | 0.172330i | ||||
\(237\) | 11.3885 | + | 5.48441i | 0.739762 | + | 0.356251i | ||||
\(238\) | 7.40316 | − | 7.58039i | 0.479876 | − | 0.491364i | ||||
\(239\) | −0.876517 | + | 0.422108i | −0.0566972 | + | 0.0273039i | −0.462018 | − | 0.886871i | \(-0.652874\pi\) |
0.405320 | + | 0.914175i | \(0.367160\pi\) | |||||||
\(240\) | −20.0527 | − | 9.65689i | −1.29440 | − | 0.623349i | ||||
\(241\) | −2.01206 | − | 8.81542i | −0.129608 | − | 0.567851i | −0.997473 | − | 0.0710499i | \(-0.977365\pi\) |
0.867865 | − | 0.496801i | \(-0.165492\pi\) | |||||||
\(242\) | −10.2958 | − | 4.95817i | −0.661836 | − | 0.318724i | ||||
\(243\) | 3.22671 | − | 4.04617i | 0.206994 | − | 0.259562i | ||||
\(244\) | −3.01619 | −0.193092 | ||||||||
\(245\) | −15.4144 | − | 3.13659i | −0.984790 | − | 0.200390i | ||||
\(246\) | 20.2568 | 1.29153 | ||||||||
\(247\) | 4.99624 | − | 6.26508i | 0.317903 | − | 0.398638i | ||||
\(248\) | 1.54907 | + | 0.745994i | 0.0983661 | + | 0.0473706i | ||||
\(249\) | 1.11536 | + | 4.88673i | 0.0706833 | + | 0.309684i | ||||
\(250\) | 12.9834 | + | 6.25248i | 0.821143 | + | 0.395442i | ||||
\(251\) | 22.1588 | − | 10.6711i | 1.39865 | − | 0.673554i | 0.425763 | − | 0.904835i | \(-0.360006\pi\) |
0.972887 | + | 0.231281i | \(0.0742916\pi\) | |||||||
\(252\) | −4.55419 | − | 2.78701i | −0.286887 | − | 0.175565i | ||||
\(253\) | −5.20905 | − | 2.50855i | −0.327490 | − | 0.157711i | ||||
\(254\) | 13.7003 | + | 17.1796i | 0.859631 | + | 1.07794i | ||||
\(255\) | 19.0578 | − | 9.17776i | 1.19345 | − | 0.574734i | ||||
\(256\) | −4.68408 | + | 5.87366i | −0.292755 | + | 0.367104i | ||||
\(257\) | 4.40759 | − | 19.3109i | 0.274938 | − | 1.20458i | −0.629167 | − | 0.777270i | \(-0.716604\pi\) |
0.904105 | − | 0.427311i | \(-0.140539\pi\) | |||||||
\(258\) | −18.2398 | + | 22.8720i | −1.13556 | + | 1.42395i | ||||
\(259\) | −12.2310 | − | 1.23179i | −0.760000 | − | 0.0765398i | ||||
\(260\) | 0.450883 | + | 0.565389i | 0.0279626 | + | 0.0350640i | ||||
\(261\) | −54.1448 | + | 26.0748i | −3.35148 | + | 1.61399i | ||||
\(262\) | 1.44022 | − | 6.31000i | 0.0889769 | − | 0.389833i | ||||
\(263\) | 3.17318 | 0.195667 | 0.0978333 | − | 0.995203i | \(-0.468809\pi\) | ||||
0.0978333 | + | 0.995203i | \(0.468809\pi\) | |||||||
\(264\) | 13.5182 | 0.831990 | ||||||||
\(265\) | −0.110634 | + | 0.484718i | −0.00679617 | + | 0.0297760i | ||||
\(266\) | −23.4267 | − | 14.3363i | −1.43638 | − | 0.879016i | ||||
\(267\) | 1.54427 | + | 6.76588i | 0.0945077 | + | 0.414065i | ||||
\(268\) | 0.143994 | + | 0.630878i | 0.00879582 | + | 0.0385370i | ||||
\(269\) | −6.59453 | − | 8.26928i | −0.402076 | − | 0.504187i | 0.539036 | − | 0.842283i | \(-0.318789\pi\) |
−0.941112 | + | 0.338096i | \(0.890217\pi\) | |||||||
\(270\) | 18.0775 | + | 22.6685i | 1.10016 | + | 1.37956i | ||||
\(271\) | 4.66987 | + | 20.4601i | 0.283675 | + | 1.24286i | 0.893043 | + | 0.449972i | \(0.148566\pi\) |
−0.609368 | + | 0.792888i | \(0.708577\pi\) | |||||||
\(272\) | 2.23765 | + | 9.80378i | 0.135677 | + | 0.594442i | ||||
\(273\) | −4.36637 | − | 6.76994i | −0.264264 | − | 0.409735i | ||||
\(274\) | 4.72998 | − | 20.7234i | 0.285749 | − | 1.25195i | ||||
\(275\) | 0.0735680 | 0.00443632 | ||||||||
\(276\) | −3.83795 | −0.231017 | ||||||||
\(277\) | −3.60367 | + | 15.7887i | −0.216524 | + | 0.948652i | 0.743501 | + | 0.668735i | \(0.233164\pi\) |
−0.960024 | + | 0.279917i | \(0.909693\pi\) | |||||||
\(278\) | −17.5919 | + | 8.47179i | −1.05509 | + | 0.508104i | ||||
\(279\) | −2.23503 | − | 2.80264i | −0.133808 | − | 0.167790i | ||||
\(280\) | 12.4946 | − | 12.7937i | 0.746694 | − | 0.764570i | ||||
\(281\) | 5.06463 | − | 6.35084i | 0.302130 | − | 0.378859i | −0.607471 | − | 0.794342i | \(-0.707816\pi\) |
0.909601 | + | 0.415483i | \(0.136387\pi\) | |||||||
\(282\) | −5.81444 | + | 25.4747i | −0.346245 | + | 1.51700i | ||||
\(283\) | 7.90700 | − | 9.91507i | 0.470023 | − | 0.589390i | −0.489154 | − | 0.872197i | \(-0.662694\pi\) |
0.959177 | + | 0.282808i | \(0.0912659\pi\) | |||||||
\(284\) | 4.29073 | − | 2.06631i | 0.254608 | − | 0.122613i | ||||
\(285\) | −34.1858 | − | 42.8676i | −2.02499 | − | 2.53926i | ||||
\(286\) | 1.72282 | + | 0.829666i | 0.101872 | + | 0.0490592i | ||||
\(287\) | −4.33562 | + | 12.8770i | −0.255923 | + | 0.760108i | ||||
\(288\) | 10.1796 | − | 4.90224i | 0.599839 | − | 0.288867i | ||||
\(289\) | 6.70593 | + | 3.22940i | 0.394466 | + | 0.189965i | ||||
\(290\) | −6.20781 | − | 27.1982i | −0.364535 | − | 1.59713i | ||||
\(291\) | 8.17847 | + | 3.93855i | 0.479431 | + | 0.230882i | ||||
\(292\) | −3.34858 | + | 4.19899i | −0.195961 | + | 0.245727i | ||||
\(293\) | 14.7248 | 0.860231 | 0.430115 | − | 0.902774i | \(-0.358473\pi\) | ||||
0.430115 | + | 0.902774i | \(0.358473\pi\) | |||||||
\(294\) | −21.1740 | + | 17.7210i | −1.23489 | + | 1.03351i | ||||
\(295\) | −23.6455 | −1.37669 | ||||||||
\(296\) | 8.71329 | − | 10.9261i | 0.506449 | − | 0.635068i | ||||
\(297\) | −13.2455 | − | 6.37870i | −0.768582 | − | 0.370129i | ||||
\(298\) | −1.30789 | − | 5.73022i | −0.0757638 | − | 0.331943i | ||||
\(299\) | −3.52898 | − | 1.69947i | −0.204086 | − | 0.0982828i | ||||
\(300\) | 0.0439997 | − | 0.0211891i | 0.00254032 | − | 0.00122336i | ||||
\(301\) | −10.6356 | − | 16.4902i | −0.613026 | − | 0.950481i | ||||
\(302\) | 20.3364 | + | 9.79350i | 1.17023 | + | 0.563553i | ||||
\(303\) | −2.76383 | − | 3.46574i | −0.158778 | − | 0.199102i | ||||
\(304\) | 23.4847 | − | 11.3096i | 1.34694 | − | 0.648651i | ||||
\(305\) | −13.1320 | + | 16.4670i | −0.751936 | + | 0.942898i | ||||
\(306\) | 5.58845 | − | 24.4846i | 0.319471 | − | 1.39969i | ||||
\(307\) | 6.82506 | − | 8.55836i | 0.389527 | − | 0.488451i | −0.547944 | − | 0.836515i | \(-0.684589\pi\) |
0.937471 | + | 0.348064i | \(0.113161\pi\) | |||||||
\(308\) | −0.401023 | + | 1.19106i | −0.0228504 | + | 0.0678672i | ||||
\(309\) | −26.6766 | − | 33.4514i | −1.51758 | − | 1.90298i | ||||
\(310\) | 1.49928 | − | 0.722018i | 0.0851537 | − | 0.0410078i | ||||
\(311\) | −3.65845 | + | 16.0287i | −0.207452 | + | 0.908905i | 0.758804 | + | 0.651319i | \(0.225784\pi\) |
−0.966255 | + | 0.257586i | \(0.917073\pi\) | |||||||
\(312\) | 9.15822 | 0.518482 | ||||||||
\(313\) | −7.69867 | −0.435154 | −0.217577 | − | 0.976043i | \(-0.569815\pi\) | ||||
−0.217577 | + | 0.976043i | \(0.569815\pi\) | |||||||
\(314\) | 0.533569 | − | 2.33772i | 0.0301111 | − | 0.131925i | ||||
\(315\) | −35.0440 | + | 12.7296i | −1.97451 | + | 0.717233i | ||||
\(316\) | −0.297275 | − | 1.30245i | −0.0167230 | − | 0.0732685i | ||||
\(317\) | 4.39910 | + | 19.2737i | 0.247078 | + | 1.08252i | 0.934416 | + | 0.356183i | \(0.115922\pi\) |
−0.687338 | + | 0.726338i | \(0.741221\pi\) | |||||||
\(318\) | 0.544117 | + | 0.682301i | 0.0305126 | + | 0.0382615i | ||||
\(319\) | 8.81955 | + | 11.0594i | 0.493800 | + | 0.619205i | ||||
\(320\) | 4.42024 | + | 19.3663i | 0.247099 | + | 1.08261i | ||||
\(321\) | −1.36484 | − | 5.97975i | −0.0761779 | − | 0.333757i | ||||
\(322\) | −4.28377 | + | 12.7231i | −0.238725 | + | 0.709028i | ||||
\(323\) | −5.51245 | + | 24.1516i | −0.306721 | + | 1.34383i | ||||
\(324\) | −3.70490 | −0.205828 | ||||||||
\(325\) | 0.0498402 | 0.00276464 | ||||||||
\(326\) | 6.63841 | − | 29.0848i | 0.367668 | − | 1.61086i | ||||
\(327\) | −21.1927 | + | 10.2059i | −1.17196 | + | 0.564386i | ||||
\(328\) | −9.63079 | − | 12.0766i | −0.531772 | − | 0.666820i | ||||
\(329\) | −14.9496 | − | 9.14861i | −0.824196 | − | 0.504379i | ||||
\(330\) | 8.15760 | − | 10.2293i | 0.449061 | − | 0.563105i | ||||
\(331\) | −2.74096 | + | 12.0089i | −0.150657 | + | 0.660071i | 0.842038 | + | 0.539418i | \(0.181356\pi\) |
−0.992695 | + | 0.120653i | \(0.961501\pi\) | |||||||
\(332\) | 0.330298 | − | 0.414181i | 0.0181275 | − | 0.0227311i | ||||
\(333\) | −26.2515 | + | 12.6421i | −1.43857 | + | 0.692781i | ||||
\(334\) | −0.634598 | − | 0.795761i | −0.0347237 | − | 0.0435421i | ||||
\(335\) | 4.07123 | + | 1.96060i | 0.222435 | + | 0.107119i | ||||
\(336\) | −3.24174 | − | 26.0031i | −0.176851 | − | 1.41859i | ||||
\(337\) | −6.03436 | + | 2.90599i | −0.328712 | + | 0.158299i | −0.590959 | − | 0.806701i | \(-0.701251\pi\) |
0.262247 | + | 0.965001i | \(0.415536\pi\) | |||||||
\(338\) | 1.16716 | + | 0.562075i | 0.0634852 | + | 0.0305729i | ||||
\(339\) | 4.98072 | + | 21.8220i | 0.270516 | + | 1.18521i | ||||
\(340\) | −2.01421 | − | 0.969992i | −0.109236 | − | 0.0526052i | ||||
\(341\) | −0.526081 | + | 0.659685i | −0.0284889 | + | 0.0357240i | ||||
\(342\) | −65.0989 | −3.52015 | ||||||||
\(343\) | −6.73316 | − | 17.2530i | −0.363556 | − | 0.931572i | ||||
\(344\) | 22.3076 | 1.20275 | ||||||||
\(345\) | −16.7098 | + | 20.9535i | −0.899627 | + | 1.12810i | ||||
\(346\) | 13.7623 | + | 6.62757i | 0.739866 | + | 0.356301i | ||||
\(347\) | −1.52673 | − | 6.68906i | −0.0819593 | − | 0.359087i | 0.917273 | − | 0.398259i | \(-0.130385\pi\) |
−0.999233 | + | 0.0391713i | \(0.987528\pi\) | |||||||
\(348\) | 8.46014 | + | 4.07419i | 0.453511 | + | 0.218399i | ||||
\(349\) | 14.6098 | − | 7.03569i | 0.782043 | − | 0.376612i | 0.000130086 | − | 1.00000i | \(-0.499959\pi\) |
0.781913 | + | 0.623388i | \(0.214244\pi\) | |||||||
\(350\) | −0.0211327 | − | 0.169512i | −0.00112959 | − | 0.00906081i | ||||
\(351\) | −8.97345 | − | 4.32138i | −0.478967 | − | 0.230658i | ||||
\(352\) | −1.65814 | − | 2.07924i | −0.0883790 | − | 0.110824i | ||||
\(353\) | 28.3262 | − | 13.6412i | 1.50765 | − | 0.726048i | 0.516195 | − | 0.856471i | \(-0.327348\pi\) |
0.991458 | + | 0.130424i | \(0.0416337\pi\) | |||||||
\(354\) | −25.8776 | + | 32.4495i | −1.37538 | + | 1.72467i | ||||
\(355\) | 7.40006 | − | 32.4218i | 0.392755 | − | 1.72077i | ||||
\(356\) | 0.457312 | − | 0.573451i | 0.0242375 | − | 0.0303929i | ||||
\(357\) | 21.2423 | + | 12.9995i | 1.12426 | + | 0.688008i | ||||
\(358\) | −10.6735 | − | 13.3842i | −0.564114 | − | 0.707376i | ||||
\(359\) | −0.0429888 | + | 0.0207023i | −0.00226886 | + | 0.00109263i | −0.435018 | − | 0.900422i | \(-0.643258\pi\) |
0.432749 | + | 0.901514i | \(0.357544\pi\) | |||||||
\(360\) | 9.43183 | − | 41.3236i | 0.497101 | − | 2.17794i | ||||
\(361\) | 45.2136 | 2.37966 | ||||||||
\(362\) | 0.197473 | 0.0103789 | ||||||||
\(363\) | 5.97671 | − | 26.1857i | 0.313696 | − | 1.37439i | ||||
\(364\) | −0.271682 | + | 0.806912i | −0.0142400 | + | 0.0422937i | ||||
\(365\) | 8.34537 | + | 36.5634i | 0.436816 | + | 1.91382i | ||||
\(366\) | 8.22657 | + | 36.0429i | 0.430009 | + | 1.88399i | ||||
\(367\) | −10.7162 | − | 13.4377i | −0.559381 | − | 0.701441i | 0.419063 | − | 0.907957i | \(-0.362359\pi\) |
−0.978443 | + | 0.206516i | \(0.933787\pi\) | |||||||
\(368\) | −7.94383 | − | 9.96125i | −0.414101 | − | 0.519266i | ||||
\(369\) | 7.16631 | + | 31.3977i | 0.373063 | + | 1.63450i | ||||
\(370\) | −3.00979 | − | 13.1868i | −0.156472 | − | 0.685547i | ||||
\(371\) | −0.550191 | + | 0.199855i | −0.0285645 | + | 0.0103760i | ||||
\(372\) | −0.124637 | + | 0.546068i | −0.00646210 | + | 0.0283123i | ||||
\(373\) | 18.6951 | 0.967996 | 0.483998 | − | 0.875069i | \(-0.339184\pi\) | ||||
0.483998 | + | 0.875069i | \(0.339184\pi\) | |||||||
\(374\) | −5.91140 | −0.305671 | ||||||||
\(375\) | −7.53691 | + | 33.0213i | −0.389204 | + | 1.70521i | ||||
\(376\) | 17.9518 | − | 8.64514i | 0.925795 | − | 0.445839i | ||||
\(377\) | 5.97499 | + | 7.49240i | 0.307728 | + | 0.385878i | ||||
\(378\) | −10.8927 | + | 32.3520i | −0.560260 | + | 1.66401i | ||||
\(379\) | −10.3111 | + | 12.9298i | −0.529648 | + | 0.664157i | −0.972626 | − | 0.232375i | \(-0.925350\pi\) |
0.442979 | + | 0.896532i | \(0.353922\pi\) | |||||||
\(380\) | −1.28949 | + | 5.64964i | −0.0661496 | + | 0.289820i | ||||
\(381\) | −32.2012 | + | 40.3790i | −1.64972 | + | 2.06868i | ||||
\(382\) | −21.7515 | + | 10.4750i | −1.11291 | + | 0.535947i | ||||
\(383\) | 5.71325 | + | 7.16419i | 0.291934 | + | 0.366073i | 0.906071 | − | 0.423126i | \(-0.139067\pi\) |
−0.614137 | + | 0.789199i | \(0.710496\pi\) | |||||||
\(384\) | 21.5293 | + | 10.3680i | 1.09866 | + | 0.529088i | ||||
\(385\) | 4.75668 | + | 7.37511i | 0.242423 | + | 0.375870i | ||||
\(386\) | −32.1883 | + | 15.5011i | −1.63834 | + | 0.788984i | ||||
\(387\) | −41.9039 | − | 20.1799i | −2.13010 | − | 1.02580i | ||||
\(388\) | −0.213484 | − | 0.935334i | −0.0108380 | − | 0.0474844i | ||||
\(389\) | 8.01088 | + | 3.85784i | 0.406168 | + | 0.195600i | 0.625802 | − | 0.779982i | \(-0.284772\pi\) |
−0.219634 | + | 0.975582i | \(0.570486\pi\) | |||||||
\(390\) | 5.52654 | − | 6.93006i | 0.279847 | − | 0.350917i | ||||
\(391\) | 12.1088 | 0.612367 | ||||||||
\(392\) | 20.6317 | + | 4.19823i | 1.04206 | + | 0.212043i | ||||
\(393\) | 15.2125 | 0.767368 | ||||||||
\(394\) | 2.22522 | − | 2.79033i | 0.112105 | − | 0.140575i | ||||
\(395\) | −8.40507 | − | 4.04767i | −0.422905 | − | 0.203660i | ||||
\(396\) | 0.662849 | + | 2.90413i | 0.0333094 | + | 0.145938i | ||||
\(397\) | 30.6783 | + | 14.7739i | 1.53970 | + | 0.741481i | 0.995254 | − | 0.0973142i | \(-0.0310252\pi\) |
0.544447 | + | 0.838795i | \(0.316739\pi\) | |||||||
\(398\) | −2.65637 | + | 1.27924i | −0.133152 | + | 0.0641225i | ||||
\(399\) | 20.5988 | − | 61.1799i | 1.03123 | − | 3.06282i | ||||
\(400\) | 0.146067 | + | 0.0703419i | 0.00730333 | + | 0.00351710i | ||||
\(401\) | 12.0613 | + | 15.1244i | 0.602313 | + | 0.755277i | 0.985736 | − | 0.168296i | \(-0.0538265\pi\) |
−0.383424 | + | 0.923573i | \(0.625255\pi\) | |||||||
\(402\) | 7.14615 | − | 3.44141i | 0.356418 | − | 0.171642i | ||||
\(403\) | −0.356405 | + | 0.446918i | −0.0177538 | + | 0.0222626i | ||||
\(404\) | −0.104252 | + | 0.456759i | −0.00518674 | + | 0.0227246i | ||||
\(405\) | −16.1305 | + | 20.2270i | −0.801532 | + | 1.00509i | ||||
\(406\) | 22.9491 | − | 23.4985i | 1.13894 | − | 1.16621i | ||||
\(407\) | 4.27606 | + | 5.36201i | 0.211956 | + | 0.265785i | ||||
\(408\) | −25.5083 | + | 12.2841i | −1.26285 | + | 0.608156i | ||||
\(409\) | −1.81727 | + | 7.96198i | −0.0898582 | + | 0.393695i | −0.999778 | − | 0.0210906i | \(-0.993286\pi\) |
0.909919 | + | 0.414785i | \(0.136143\pi\) | |||||||
\(410\) | −14.9501 | −0.738335 | ||||||||
\(411\) | 49.9611 | 2.46440 | ||||||||
\(412\) | −1.00624 | + | 4.40864i | −0.0495741 | + | 0.217198i | ||||
\(413\) | −15.0892 | − | 23.3954i | −0.742489 | − | 1.15121i | ||||
\(414\) | 7.08061 | + | 31.0222i | 0.347993 | + | 1.52466i | ||||
\(415\) | −0.823173 | − | 3.60656i | −0.0404080 | − | 0.177039i | ||||
\(416\) | −1.12334 | − | 1.40862i | −0.0550763 | − | 0.0690635i | ||||
\(417\) | −28.6137 | − | 35.8805i | −1.40122 | − | 1.75707i | ||||
\(418\) | 3.40969 | + | 14.9388i | 0.166773 | + | 0.730681i | ||||
\(419\) | −2.65091 | − | 11.6144i | −0.129505 | − | 0.567400i | −0.997490 | − | 0.0708090i | \(-0.977442\pi\) |
0.867984 | − | 0.496591i | \(-0.165415\pi\) | |||||||
\(420\) | 4.96907 | + | 3.04090i | 0.242466 | + | 0.148381i | ||||
\(421\) | 7.72774 | − | 33.8574i | 0.376627 | − | 1.65011i | −0.331079 | − | 0.943603i | \(-0.607413\pi\) |
0.707706 | − | 0.706507i | \(-0.249730\pi\) | |||||||
\(422\) | 9.38696 | 0.456950 | ||||||||
\(423\) | −41.5424 | −2.01986 | ||||||||
\(424\) | 0.148080 | − | 0.648780i | 0.00719139 | − | 0.0315075i | ||||
\(425\) | −0.138819 | + | 0.0668519i | −0.00673373 | + | 0.00324279i | ||||
\(426\) | −36.3949 | − | 45.6377i | −1.76334 | − | 2.21115i | ||||
\(427\) | −24.6729 | − | 2.48482i | −1.19401 | − | 0.120249i | ||||
\(428\) | −0.404177 | + | 0.506822i | −0.0195366 | + | 0.0244982i | ||||
\(429\) | −1.00010 | + | 4.38173i | −0.0482853 | + | 0.211552i | ||||
\(430\) | 13.4615 | − | 16.8802i | 0.649173 | − | 0.814038i | ||||
\(431\) | −3.80900 | + | 1.83432i | −0.183473 | + | 0.0883560i | −0.523365 | − | 0.852108i | \(-0.675324\pi\) |
0.339892 | + | 0.940464i | \(0.389609\pi\) | |||||||
\(432\) | −20.1995 | − | 25.3293i | −0.971847 | − | 1.21866i | ||||
\(433\) | 4.11559 | + | 1.98197i | 0.197783 | + | 0.0952472i | 0.530154 | − | 0.847902i | \(-0.322134\pi\) |
−0.332371 | + | 0.943149i | \(0.607849\pi\) | |||||||
\(434\) | 1.67114 | + | 1.02268i | 0.0802171 | + | 0.0490901i | ||||
\(435\) | 59.0773 | − | 28.4501i | 2.83254 | − | 1.36408i | ||||
\(436\) | 2.23984 | + | 1.07865i | 0.107269 | + | 0.0516581i | ||||
\(437\) | −6.98432 | − | 30.6003i | −0.334105 | − | 1.46381i | ||||
\(438\) | 59.3104 | + | 28.5624i | 2.83396 | + | 1.36476i | ||||
\(439\) | −2.19344 | + | 2.75049i | −0.104687 | + | 0.131274i | −0.831415 | − | 0.555652i | \(-0.812469\pi\) |
0.726728 | + | 0.686926i | \(0.241040\pi\) | |||||||
\(440\) | −9.97688 | −0.475629 | ||||||||
\(441\) | −34.9580 | − | 26.5500i | −1.66467 | − | 1.26429i | ||||
\(442\) | −4.00480 | −0.190489 | ||||||||
\(443\) | −2.78679 | + | 3.49453i | −0.132404 | + | 0.166030i | −0.843614 | − | 0.536950i | \(-0.819576\pi\) |
0.711209 | + | 0.702980i | \(0.248148\pi\) | |||||||
\(444\) | 4.10181 | + | 1.97533i | 0.194663 | + | 0.0937448i | ||||
\(445\) | −1.13972 | − | 4.99343i | −0.0540278 | − | 0.236711i | ||||
\(446\) | −18.1351 | − | 8.73339i | −0.858720 | − | 0.413538i | ||||
\(447\) | 12.4466 | − | 5.99398i | 0.588705 | − | 0.283506i | ||||
\(448\) | −16.3407 | + | 16.7319i | −0.772027 | + | 0.790510i | ||||
\(449\) | 8.28450 | + | 3.98960i | 0.390970 | + | 0.188281i | 0.619033 | − | 0.785365i | \(-0.287525\pi\) |
−0.228063 | + | 0.973646i | \(0.573239\pi\) | |||||||
\(450\) | −0.252447 | − | 0.316558i | −0.0119005 | − | 0.0149227i | ||||
\(451\) | 6.82974 | − | 3.28903i | 0.321600 | − | 0.154874i | ||||
\(452\) | 1.47497 | − | 1.84955i | 0.0693766 | − | 0.0869955i | ||||
\(453\) | −11.8053 | + | 51.7226i | −0.554663 | + | 2.43014i | ||||
\(454\) | 3.01372 | − | 3.77909i | 0.141441 | − | 0.177361i | ||||
\(455\) | 3.22251 | + | 4.99643i | 0.151074 | + | 0.234236i | ||||
\(456\) | 45.7566 | + | 57.3770i | 2.14275 | + | 2.68692i | ||||
\(457\) | −34.1803 | + | 16.4604i | −1.59889 | + | 0.769983i | −0.999535 | − | 0.0305028i | \(-0.990289\pi\) |
−0.599352 | + | 0.800486i | \(0.704575\pi\) | |||||||
\(458\) | −2.24330 | + | 9.82852i | −0.104822 | + | 0.459257i | ||||
\(459\) | 30.7900 | 1.43715 | ||||||||
\(460\) | 2.83253 | 0.132067 | ||||||||
\(461\) | −6.01885 | + | 26.3703i | −0.280326 | + | 1.22819i | 0.617052 | + | 0.786923i | \(0.288327\pi\) |
−0.897377 | + | 0.441264i | \(0.854530\pi\) | |||||||
\(462\) | 15.3268 | + | 1.54357i | 0.713068 | + | 0.0718133i | ||||
\(463\) | 3.06428 | + | 13.4255i | 0.142409 | + | 0.623934i | 0.994872 | + | 0.101146i | \(0.0322510\pi\) |
−0.852463 | + | 0.522788i | \(0.824892\pi\) | |||||||
\(464\) | 6.93649 | + | 30.3907i | 0.322018 | + | 1.41085i | ||||
\(465\) | 2.43864 | + | 3.05795i | 0.113089 | + | 0.141809i | ||||
\(466\) | 22.1856 | + | 27.8199i | 1.02773 | + | 1.28873i | ||||
\(467\) | 0.291724 | + | 1.27812i | 0.0134994 | + | 0.0591446i | 0.981229 | − | 0.192846i | \(-0.0617719\pi\) |
−0.967730 | + | 0.251991i | \(0.918915\pi\) | |||||||
\(468\) | 0.449061 | + | 1.96747i | 0.0207579 | + | 0.0909462i | ||||
\(469\) | 0.658159 | + | 5.27931i | 0.0303909 | + | 0.243776i | ||||
\(470\) | 4.29124 | − | 18.8011i | 0.197940 | − | 0.867232i | ||||
\(471\) | 5.63590 | 0.259689 | ||||||||
\(472\) | 31.6487 | 1.45675 | ||||||||
\(473\) | −2.43605 | + | 10.6730i | −0.112010 | + | 0.490746i | ||||
\(474\) | −14.7532 | + | 7.10479i | −0.677639 | + | 0.326334i | ||||
\(475\) | 0.249014 | + | 0.312253i | 0.0114255 | + | 0.0143272i | ||||
\(476\) | −0.325619 | − | 2.61190i | −0.0149247 | − | 0.119716i | ||||
\(477\) | −0.865060 | + | 1.08475i | −0.0396084 | + | 0.0496674i | ||||
\(478\) | 0.280442 | − | 1.22869i | 0.0128271 | − | 0.0561992i | ||||
\(479\) | 7.59992 | − | 9.52999i | 0.347249 | − | 0.435436i | −0.577281 | − | 0.816545i | \(-0.695886\pi\) |
0.924530 | + | 0.381109i | \(0.124458\pi\) | |||||||
\(480\) | −11.1069 | + | 5.34882i | −0.506960 | + | 0.244139i | ||||
\(481\) | 2.89691 | + | 3.63261i | 0.132088 | + | 0.165633i | ||||
\(482\) | 10.5536 | + | 5.08235i | 0.480704 | + | 0.231495i | ||||
\(483\) | −31.3951 | − | 3.16181i | −1.42853 | − | 0.143867i | ||||
\(484\) | −2.55760 | + | 1.23168i | −0.116255 | + | 0.0559853i | ||||
\(485\) | −6.03597 | − | 2.90677i | −0.274079 | − | 0.131990i | ||||
\(486\) | 1.49184 | + | 6.53618i | 0.0676712 | + | 0.296487i | ||||
\(487\) | −0.813517 | − | 0.391769i | −0.0368640 | − | 0.0177528i | 0.415361 | − | 0.909657i | \(-0.363655\pi\) |
−0.452225 | + | 0.891904i | \(0.649370\pi\) | |||||||
\(488\) | 17.5768 | − | 22.0406i | 0.795663 | − | 0.997730i | ||||
\(489\) | 70.1191 | 3.17090 | ||||||||
\(490\) | 15.6270 | − | 13.0787i | 0.705958 | − | 0.590833i | ||||
\(491\) | −13.8377 | −0.624487 | −0.312244 | − | 0.950002i | \(-0.601081\pi\) | ||||
−0.312244 | + | 0.950002i | \(0.601081\pi\) | |||||||
\(492\) | 3.13743 | − | 3.93422i | 0.141446 | − | 0.177368i | ||||
\(493\) | −26.6918 | − | 12.8541i | −1.20214 | − | 0.578920i | ||||
\(494\) | 2.30996 | + | 10.1206i | 0.103930 | + | 0.455348i | ||||
\(495\) | 18.7412 | + | 9.02528i | 0.842353 | + | 0.405656i | ||||
\(496\) | −1.67527 | + | 0.806768i | −0.0752219 | + | 0.0362250i | ||||
\(497\) | 36.8012 | − | 13.3679i | 1.65076 | − | 0.599633i | ||||
\(498\) | −5.85028 | − | 2.81734i | −0.262157 | − | 0.126248i | ||||
\(499\) | −15.2788 | − | 19.1590i | −0.683972 | − | 0.857673i | 0.311742 | − | 0.950167i | \(-0.399088\pi\) |
−0.995713 | + | 0.0924935i | \(0.970516\pi\) | |||||||
\(500\) | 3.22525 | − | 1.55320i | 0.144238 | − | 0.0694612i | ||||
\(501\) | 1.49156 | − | 1.87036i | 0.0666382 | − | 0.0835617i | ||||
\(502\) | −7.08970 | + | 31.0620i | −0.316429 | + | 1.38637i | ||||
\(503\) | −23.4758 | + | 29.4377i | −1.04673 | + | 1.31256i | −0.0984498 | + | 0.995142i | \(0.531388\pi\) |
−0.948285 | + | 0.317421i | \(0.897183\pi\) | |||||||
\(504\) | 46.9053 | − | 17.0382i | 2.08933 | − | 0.758942i | ||||
\(505\) | 2.03980 | + | 2.55782i | 0.0907697 | + | 0.113822i | ||||
\(506\) | 6.74807 | − | 3.24970i | 0.299988 | − | 0.144467i | ||||
\(507\) | −0.677540 | + | 2.96850i | −0.0300906 | + | 0.131836i | ||||
\(508\) | 5.45851 | 0.242182 | ||||||||
\(509\) | −39.8472 | −1.76619 | −0.883097 | − | 0.469190i | \(-0.844546\pi\) | ||||
−0.883097 | + | 0.469190i | \(0.844546\pi\) | |||||||
\(510\) | −6.09755 | + | 26.7151i | −0.270004 | + | 1.18296i | ||||
\(511\) | −30.8512 | + | 31.5898i | −1.36478 | + | 1.39745i | ||||
\(512\) | −5.65831 | − | 24.7907i | −0.250064 | − | 1.09560i | ||||
\(513\) | −17.7596 | − | 77.8100i | −0.784107 | − | 3.43540i | ||||
\(514\) | 15.9985 | + | 20.0615i | 0.705666 | + | 0.884877i | ||||
\(515\) | 19.6882 | + | 24.6882i | 0.867564 | + | 1.08789i | ||||
\(516\) | 1.61710 | + | 7.08497i | 0.0711888 | + | 0.311898i | ||||
\(517\) | 2.17586 | + | 9.53308i | 0.0956944 | + | 0.419264i | ||||
\(518\) | 11.1266 | − | 11.3930i | 0.488875 | − | 0.500578i | ||||
\(519\) | −7.98905 | + | 35.0023i | −0.350680 | + | 1.53643i | ||||
\(520\) | −6.75905 | −0.296404 | ||||||||
\(521\) | 6.62590 | 0.290286 | 0.145143 | − | 0.989411i | \(-0.453636\pi\) | ||||
0.145143 | + | 0.989411i | \(0.453636\pi\) | |||||||
\(522\) | 17.3236 | − | 75.8998i | 0.758235 | − | 3.32204i | ||||
\(523\) | 17.8432 | − | 8.59281i | 0.780227 | − | 0.375737i | −0.000988364 | − | 1.00000i | \(-0.500315\pi\) |
0.781215 | + | 0.624262i | \(0.214600\pi\) | |||||||
\(524\) | −1.00245 | − | 1.25703i | −0.0437921 | − | 0.0549135i | ||||
\(525\) | 0.377381 | − | 0.137082i | 0.0164703 | − | 0.00598277i | ||||
\(526\) | −2.56298 | + | 3.21387i | −0.111751 | + | 0.140131i | ||||
\(527\) | 0.393229 | − | 1.72285i | 0.0171293 | − | 0.0750485i | ||||
\(528\) | −9.11514 | + | 11.4300i | −0.396686 | + | 0.497428i | ||||
\(529\) | 6.89970 | − | 3.32272i | 0.299987 | − | 0.144466i | ||||
\(530\) | −0.401575 | − | 0.503559i | −0.0174433 | − | 0.0218732i | ||||
\(531\) | −59.4509 | − | 28.6300i | −2.57995 | − | 1.24244i | ||||
\(532\) | −6.41276 | + | 2.32941i | −0.278028 | + | 0.100993i | ||||
\(533\) | 4.62696 | − | 2.22822i | 0.200416 | − | 0.0965151i | ||||
\(534\) | −8.09996 | − | 3.90073i | −0.350519 | − | 0.168801i | ||||
\(535\) | 1.00729 | + | 4.41324i | 0.0435491 | + | 0.190801i | ||||
\(536\) | −5.44922 | − | 2.62421i | −0.235370 | − | 0.113348i | ||||
\(537\) | 25.0872 | − | 31.4583i | 1.08259 | − | 1.35753i | ||||
\(538\) | 13.7017 | 0.590724 | ||||||||
\(539\) | −4.26167 | + | 9.41273i | −0.183563 | + | 0.405435i | ||||
\(540\) | 7.20251 | 0.309947 | ||||||||
\(541\) | −21.0544 | + | 26.4014i | −0.905200 | + | 1.13508i | 0.0851328 | + | 0.996370i | \(0.472869\pi\) |
−0.990332 | + | 0.138715i | \(0.955703\pi\) | |||||||
\(542\) | −24.4943 | − | 11.7958i | −1.05212 | − | 0.506674i | ||||
\(543\) | 0.103281 | + | 0.452504i | 0.00443222 | + | 0.0194188i | ||||
\(544\) | 5.01825 | + | 2.41666i | 0.215156 | + | 0.103613i | ||||
\(545\) | 15.6409 | − | 7.53225i | 0.669981 | − | 0.322646i | ||||
\(546\) | 10.3835 | + | 1.04572i | 0.444372 | + | 0.0447528i | ||||
\(547\) | −1.11718 | − | 0.538004i | −0.0477670 | − | 0.0230034i | 0.409848 | − | 0.912154i | \(-0.365582\pi\) |
−0.457615 | + | 0.889151i | \(0.651296\pi\) | |||||||
\(548\) | −3.29225 | − | 4.12835i | −0.140638 | − | 0.176354i | ||||
\(549\) | −52.9556 | + | 25.5021i | −2.26009 | + | 1.08840i | ||||
\(550\) | −0.0594209 | + | 0.0745115i | −0.00253372 | + | 0.00317718i | ||||
\(551\) | −17.0880 | + | 74.8676i | −0.727975 | + | 3.18947i | ||||
\(552\) | 22.3656 | − | 28.0456i | 0.951942 | − | 1.19370i | ||||
\(553\) | −1.35877 | − | 10.8991i | −0.0577807 | − | 0.463479i | ||||
\(554\) | −13.0805 | − | 16.4024i | −0.555738 | − | 0.696873i | ||||
\(555\) | 28.6430 | − | 13.7937i | 1.21583 | − | 0.585511i | ||||
\(556\) | −1.07931 | + | 4.72878i | −0.0457731 | + | 0.200545i | ||||
\(557\) | −5.15236 | −0.218312 | −0.109156 | − | 0.994025i | \(-0.534815\pi\) | ||||
−0.109156 | + | 0.994025i | \(0.534815\pi\) | |||||||
\(558\) | 4.64381 | 0.196588 | ||||||||
\(559\) | −1.65035 | + | 7.23067i | −0.0698025 | + | 0.305825i | ||||
\(560\) | 2.39250 | + | 19.1911i | 0.101102 | + | 0.810972i | ||||
\(561\) | −3.09175 | − | 13.5458i | −0.130534 | − | 0.571906i | ||||
\(562\) | 2.34158 | + | 10.2592i | 0.0987738 | + | 0.432756i | ||||
\(563\) | −9.06304 | − | 11.3647i | −0.381962 | − | 0.478965i | 0.553270 | − | 0.833002i | \(-0.313380\pi\) |
−0.935231 | + | 0.354038i | \(0.884808\pi\) | |||||||
\(564\) | 4.04707 | + | 5.07487i | 0.170412 | + | 0.213690i | ||||
\(565\) | −3.67593 | − | 16.1053i | −0.154648 | − | 0.677555i | ||||
\(566\) | 3.65573 | + | 16.0168i | 0.153662 | + | 0.673237i | ||||
\(567\) | −30.3067 | − | 3.05220i | −1.27276 | − | 0.128180i | ||||
\(568\) | −9.90475 | + | 43.3956i | −0.415594 | + | 1.82084i | ||||
\(569\) | −10.8316 | −0.454083 | −0.227041 | − | 0.973885i | \(-0.572905\pi\) | ||||
−0.227041 | + | 0.973885i | \(0.572905\pi\) | |||||||
\(570\) | 71.0293 | 2.97509 | ||||||||
\(571\) | 6.21861 | − | 27.2455i | 0.260241 | − | 1.14019i | −0.660750 | − | 0.750606i | \(-0.729762\pi\) |
0.920991 | − | 0.389584i | \(-0.127381\pi\) | |||||||
\(572\) | 0.427971 | − | 0.206100i | 0.0178944 | − | 0.00861747i | ||||
\(573\) | −35.3796 | − | 44.3646i | −1.47800 | − | 1.85336i | ||||
\(574\) | −9.54031 | − | 14.7920i | −0.398205 | − | 0.617407i | ||||
\(575\) | 0.121716 | − | 0.152628i | 0.00507593 | − | 0.00636501i | ||||
\(576\) | −12.3352 | + | 54.0440i | −0.513966 | + | 2.25183i | ||||
\(577\) | 24.3956 | − | 30.5912i | 1.01560 | − | 1.27353i | 0.0541584 | − | 0.998532i | \(-0.482752\pi\) |
0.961446 | − | 0.274995i | \(-0.0886762\pi\) | |||||||
\(578\) | −8.68720 | + | 4.18353i | −0.361340 | + | 0.174012i | ||||
\(579\) | −52.3553 | − | 65.6515i | −2.17581 | − | 2.72838i | ||||
\(580\) | −6.24385 | − | 3.00688i | −0.259262 | − | 0.124854i | ||||
\(581\) | 3.04311 | − | 3.11596i | 0.126249 | − | 0.129272i | ||||
\(582\) | −10.5948 | + | 5.10219i | −0.439169 | + | 0.211493i | ||||
\(583\) | 0.294236 | + | 0.141697i | 0.0121860 | + | 0.00586848i | ||||
\(584\) | −11.1700 | − | 48.9390i | −0.462218 | − | 2.02511i | ||||
\(585\) | 12.6966 | + | 6.11437i | 0.524940 | + | 0.252798i | ||||
\(586\) | −11.8932 | + | 14.9136i | −0.491304 | + | 0.616076i | ||||
\(587\) | 15.3226 | 0.632433 | 0.316216 | − | 0.948687i | \(-0.397587\pi\) | ||||
0.316216 | + | 0.948687i | \(0.397587\pi\) | |||||||
\(588\) | 0.162237 | + | 6.85703i | 0.00669056 | + | 0.282779i | ||||
\(589\) | −4.58066 | −0.188743 | ||||||||
\(590\) | 19.0985 | − | 23.9487i | 0.786271 | − | 0.985953i | ||||
\(591\) | 7.55781 | + | 3.63965i | 0.310887 | + | 0.149715i | ||||
\(592\) | 3.36308 | + | 14.7346i | 0.138222 | + | 0.605589i | ||||
\(593\) | 1.17285 | + | 0.564813i | 0.0481630 | + | 0.0231941i | 0.457810 | − | 0.889050i | \(-0.348634\pi\) |
−0.409647 | + | 0.912244i | \(0.634348\pi\) | |||||||
\(594\) | 17.1589 | − | 8.26329i | 0.704038 | − | 0.339047i | ||||
\(595\) | −15.6775 | − | 9.59406i | −0.642713 | − | 0.393318i | ||||
\(596\) | −1.31548 | − | 0.633500i | −0.0538840 | − | 0.0259492i | ||||
\(597\) | −4.32067 | − | 5.41795i | −0.176833 | − | 0.221742i | ||||
\(598\) | 4.57162 | − | 2.20158i | 0.186948 | − | 0.0900292i | ||||
\(599\) | 25.3295 | − | 31.7622i | 1.03494 | − | 1.29777i | 0.0813365 | − | 0.996687i | \(-0.474081\pi\) |
0.953599 | − | 0.301081i | \(-0.0973474\pi\) | |||||||
\(600\) | −0.101569 | + | 0.445004i | −0.00414655 | + | 0.0181672i | ||||
\(601\) | 23.0932 | − | 28.9580i | 0.941993 | − | 1.18122i | −0.0412914 | − | 0.999147i | \(-0.513147\pi\) |
0.983285 | − | 0.182075i | \(-0.0582814\pi\) | |||||||
\(602\) | 25.2921 | + | 2.54717i | 1.03083 | + | 0.103815i | ||||
\(603\) | 7.86224 | + | 9.85893i | 0.320175 | + | 0.401487i | ||||
\(604\) | 5.05183 | − | 2.43283i | 0.205556 | − | 0.0989907i | ||||
\(605\) | −4.41100 | + | 19.3259i | −0.179333 | + | 0.785708i | ||||
\(606\) | 5.74253 | 0.233275 | ||||||||
\(607\) | 24.7289 | 1.00372 | 0.501858 | − | 0.864950i | \(-0.332650\pi\) | ||||
0.501858 | + | 0.864950i | \(0.332650\pi\) | |||||||
\(608\) | 3.21267 | − | 14.0756i | 0.130291 | − | 0.570842i | ||||
\(609\) | 65.8489 | + | 40.2972i | 2.66833 | + | 1.63293i | ||||
\(610\) | −6.07146 | − | 26.6008i | −0.245826 | − | 1.07704i | ||||
\(611\) | 1.47409 | + | 6.45839i | 0.0596351 | + | 0.261279i | ||||
\(612\) | −3.88978 | − | 4.87763i | −0.157235 | − | 0.197166i | ||||
\(613\) | −11.5574 | − | 14.4925i | −0.466799 | − | 0.585347i | 0.491585 | − | 0.870829i | \(-0.336418\pi\) |
−0.958384 | + | 0.285482i | \(0.907846\pi\) | |||||||
\(614\) | 3.15551 | + | 13.8252i | 0.127346 | + | 0.557939i | ||||
\(615\) | −7.81915 | − | 34.2579i | −0.315298 | − | 1.38141i | ||||
\(616\) | −6.36666 | − | 9.87136i | −0.256520 | − | 0.397728i | ||||
\(617\) | 7.16112 | − | 31.3749i | 0.288296 | − | 1.26311i | −0.598566 | − | 0.801073i | \(-0.704263\pi\) |
0.886862 | − | 0.462034i | \(-0.152880\pi\) | |||||||
\(618\) | 55.4271 | 2.22960 | ||||||||
\(619\) | −21.2754 | −0.855132 | −0.427566 | − | 0.903984i | \(-0.640629\pi\) | ||||
−0.427566 | + | 0.903984i | \(0.640629\pi\) | |||||||
\(620\) | 0.0919856 | − | 0.403015i | 0.00369423 | − | 0.0161855i | ||||
\(621\) | −35.1479 | + | 16.9263i | −1.41044 | + | 0.679230i | ||||
\(622\) | −13.2793 | − | 16.6518i | −0.532453 | − | 0.667675i | ||||
\(623\) | 4.21331 | − | 4.31418i | 0.168803 | − | 0.172844i | ||||
\(624\) | −6.17525 | + | 7.74351i | −0.247208 | + | 0.309989i | ||||
\(625\) | 5.61792 | − | 24.6137i | 0.224717 | − | 0.984549i | ||||
\(626\) | 6.21822 | − | 7.79740i | 0.248530 | − | 0.311647i | ||||
\(627\) | −32.4486 | + | 15.6264i | −1.29587 | + | 0.624060i | ||||
\(628\) | −0.371385 | − | 0.465702i | −0.0148199 | − | 0.0185835i | ||||
\(629\) | −12.9412 | − | 6.23217i | −0.516001 | − | 0.248493i | ||||
\(630\) | 15.4122 | − | 45.7752i | 0.614036 | − | 1.82373i | ||||
\(631\) | −23.1678 | + | 11.1570i | −0.922297 | + | 0.444155i | −0.833891 | − | 0.551930i | \(-0.813892\pi\) |
−0.0884063 | + | 0.996084i | \(0.528177\pi\) | |||||||
\(632\) | 11.2499 | + | 5.41768i | 0.447498 | + | 0.215504i | ||||
\(633\) | 4.90952 | + | 21.5100i | 0.195136 | + | 0.854946i | ||||
\(634\) | −23.0741 | − | 11.1119i | −0.916388 | − | 0.441309i | ||||
\(635\) | 23.7655 | − | 29.8010i | 0.943105 | − | 1.18262i | ||||
\(636\) | 0.216789 | 0.00859625 | ||||||||
\(637\) | −2.88716 | + | 6.37686i | −0.114393 | + | 0.252660i | ||||
\(638\) | −18.3247 | −0.725483 | ||||||||
\(639\) | 57.8621 | − | 72.5568i | 2.28899 | − | 2.87030i | ||||
\(640\) | −15.8893 | − | 7.65189i | −0.628080 | − | 0.302467i | ||||
\(641\) | −9.58432 | − | 41.9916i | −0.378558 | − | 1.65857i | −0.701891 | − | 0.712285i | \(-0.747661\pi\) |
0.323333 | − | 0.946285i | \(-0.395197\pi\) | |||||||
\(642\) | 7.15882 | + | 3.44751i | 0.282536 | + | 0.136062i | ||||
\(643\) | 20.8501 | − | 10.0409i | 0.822248 | − | 0.395974i | 0.0250457 | − | 0.999686i | \(-0.492027\pi\) |
0.797202 | + | 0.603713i | \(0.206313\pi\) | |||||||
\(644\) | 1.80755 | + | 2.80257i | 0.0712276 | + | 0.110437i | ||||
\(645\) | 45.7213 | + | 22.0182i | 1.80027 | + | 0.866967i | ||||
\(646\) | −20.0089 | − | 25.0904i | −0.787241 | − | 0.987170i | ||||
\(647\) | 29.9455 | − | 14.4210i | 1.17728 | − | 0.566947i | 0.260161 | − | 0.965565i | \(-0.416224\pi\) |
0.917117 | + | 0.398618i | \(0.130510\pi\) | |||||||
\(648\) | 21.5902 | − | 27.0733i | 0.848143 | − | 1.06354i | ||||
\(649\) | −3.45612 | + | 15.1423i | −0.135665 | + | 0.594386i | ||||
\(650\) | −0.0402560 | + | 0.0504794i | −0.00157897 | + | 0.00197997i | ||||
\(651\) | −1.46941 | + | 4.36425i | −0.0575908 | + | 0.171048i | ||||
\(652\) | −4.62059 | − | 5.79404i | −0.180956 | − | 0.226912i | ||||
\(653\) | 29.9859 | − | 14.4405i | 1.17344 | − | 0.565099i | 0.257447 | − | 0.966292i | \(-0.417119\pi\) |
0.915993 | + | 0.401193i | \(0.131404\pi\) | |||||||
\(654\) | 6.78060 | − | 29.7078i | 0.265143 | − | 1.16167i | ||||
\(655\) | −11.2273 | −0.438686 | ||||||||
\(656\) | 16.7050 | 0.652221 | ||||||||
\(657\) | −23.2887 | + | 102.035i | −0.908580 | + | 3.98075i | ||||
\(658\) | 21.3407 | − | 7.75194i | 0.831947 | − | 0.302202i | ||||
\(659\) | 9.63609 | + | 42.2185i | 0.375369 | + | 1.64460i | 0.711429 | + | 0.702758i | \(0.248048\pi\) |
−0.336061 | + | 0.941840i | \(0.609095\pi\) | |||||||
\(660\) | −0.723233 | − | 3.16869i | −0.0281518 | − | 0.123341i | ||||
\(661\) | −19.8110 | − | 24.8422i | −0.770559 | − | 0.966251i | 0.229416 | − | 0.973329i | \(-0.426318\pi\) |
−0.999975 | + | 0.00707793i | \(0.997747\pi\) | |||||||
\(662\) | −9.94907 | − | 12.4757i | −0.386682 | − | 0.484883i | ||||
\(663\) | −2.09457 | − | 9.17692i | −0.0813465 | − | 0.356402i | ||||
\(664\) | 1.10179 | + | 4.82726i | 0.0427578 | + | 0.187334i | ||||
\(665\) | −15.2026 | + | 45.1526i | −0.589531 | + | 1.75094i | ||||
\(666\) | 8.39918 | − | 36.7992i | 0.325461 | − | 1.42594i | ||||
\(667\) | 37.5360 | 1.45340 | ||||||||
\(668\) | −0.252839 | −0.00978264 | ||||||||
\(669\) | 10.5275 | − | 46.1238i | 0.407015 | − | 1.78325i | ||||
\(670\) | −5.27408 | + | 2.53986i | −0.203756 | + | 0.0981235i | ||||
\(671\) | 8.62583 | + | 10.8165i | 0.332997 | + | 0.417564i | ||||
\(672\) | −12.3801 | − | 7.57616i | −0.477571 | − | 0.292257i | ||||
\(673\) | 15.6819 | − | 19.6645i | 0.604492 | − | 0.758009i | −0.381578 | − | 0.924336i | \(-0.624619\pi\) |
0.986071 | + | 0.166327i | \(0.0531908\pi\) | |||||||
\(674\) | 1.93069 | − | 8.45891i | 0.0743675 | − | 0.325825i | ||||
\(675\) | 0.309499 | − | 0.388099i | 0.0119126 | − | 0.0149379i | ||||
\(676\) | 0.289938 | − | 0.139627i | 0.0111515 | − | 0.00537026i | ||||
\(677\) | 13.4459 | + | 16.8607i | 0.516769 | + | 0.648008i | 0.969919 | − | 0.243426i | \(-0.0782714\pi\) |
−0.453151 | + | 0.891434i | \(0.649700\pi\) | |||||||
\(678\) | −26.1248 | − | 12.5810i | −1.00332 | − | 0.483171i | ||||
\(679\) | −0.975779 | − | 7.82706i | −0.0374470 | − | 0.300375i | ||||
\(680\) | 18.8259 | − | 9.06608i | 0.721941 | − | 0.347668i | ||||
\(681\) | 10.2359 | + | 4.92936i | 0.392241 | + | 0.188894i | ||||
\(682\) | −0.243229 | − | 1.06566i | −0.00931372 | − | 0.0408061i | ||||
\(683\) | −0.204094 | − | 0.0982864i | −0.00780943 | − | 0.00376082i | 0.429975 | − | 0.902841i | \(-0.358522\pi\) |
−0.437784 | + | 0.899080i | \(0.644237\pi\) | |||||||
\(684\) | −10.0827 | + | 12.6433i | −0.385523 | + | 0.483430i | ||||
\(685\) | −36.8728 | −1.40884 | ||||||||
\(686\) | 22.9126 | + | 7.11572i | 0.874807 | + | 0.271679i | ||||
\(687\) | −23.6951 | −0.904025 | ||||||||
\(688\) | −15.0417 | + | 18.8617i | −0.573458 | + | 0.719094i | ||||
\(689\) | 0.199337 | + | 0.0959956i | 0.00759413 | + | 0.00365714i | ||||
\(690\) | −7.72564 | − | 33.8482i | −0.294110 | − | 1.28858i | ||||
\(691\) | 22.7271 | + | 10.9448i | 0.864579 | + | 0.416359i | 0.812968 | − | 0.582308i | \(-0.197850\pi\) |
0.0516106 | + | 0.998667i | \(0.483565\pi\) | |||||||
\(692\) | 3.41874 | − | 1.64638i | 0.129961 | − | 0.0625858i | ||||
\(693\) | 3.02971 | + | 24.3024i | 0.115089 | + | 0.923170i | ||||
\(694\) | 8.00798 | + | 3.85644i | 0.303979 | + | 0.146388i | ||||
\(695\) | 21.1178 | + | 26.4809i | 0.801045 | + | 1.00448i | ||||
\(696\) | −79.0731 | + | 38.0796i | −2.99726 | + | 1.44340i | ||||
\(697\) | −9.89864 | + | 12.4125i | −0.374938 | + | 0.470157i | ||||
\(698\) | −4.67439 | + | 20.4799i | −0.176928 | + | 0.775174i | ||||
\(699\) | −52.1453 | + | 65.3881i | −1.97232 | + | 2.47321i | ||||
\(700\) | −0.0361953 | − | 0.0221503i | −0.00136805 | − | 0.000837201i | ||||
\(701\) | −26.4764 | − | 33.2004i | −1.00000 | − | 1.25396i | −0.967072 | − | 0.254504i | \(-0.918088\pi\) |
−0.0329297 | − | 0.999458i | \(-0.510484\pi\) | |||||||
\(702\) | 11.6247 | − | 5.59814i | 0.438744 | − | 0.211288i | ||||
\(703\) | −8.28495 | + | 36.2987i | −0.312473 | + | 1.36903i | ||||
\(704\) | 13.0480 | 0.491766 | ||||||||
\(705\) | 45.3268 | 1.70710 | ||||||||
\(706\) | −9.06298 | + | 39.7075i | −0.341090 | + | 1.49441i | ||||
\(707\) | −1.22909 | + | 3.65047i | −0.0462247 | + | 0.137290i | ||||
\(708\) | 2.29425 | + | 10.0517i | 0.0862230 | + | 0.377768i | ||||
\(709\) | 5.56549 | + | 24.3840i | 0.209016 | + | 0.915760i | 0.965223 | + | 0.261428i | \(0.0841933\pi\) |
−0.756207 | + | 0.654333i | \(0.772950\pi\) | |||||||
\(710\) | 26.8605 | + | 33.6821i | 1.00806 | + | 1.26407i | ||||
\(711\) | −16.2316 | − | 20.3538i | −0.608732 | − | 0.763326i | ||||
\(712\) | 1.52548 | + | 6.68355i | 0.0571697 | + | 0.250477i | ||||
\(713\) | 0.498225 | + | 2.18286i | 0.0186587 | + | 0.0817489i | ||||
\(714\) | −30.3236 | + | 11.0150i | −1.13483 | + | 0.412225i | ||||
\(715\) | 0.738106 | − | 3.23385i | 0.0276036 | − | 0.120939i | ||||
\(716\) | −4.25259 | −0.158927 | ||||||||
\(717\) | 2.96220 | 0.110625 | ||||||||
\(718\) | 0.0137543 | − | 0.0602614i | 0.000513304 | − | 0.00224893i | ||||
\(719\) | 12.2523 | − | 5.90040i | 0.456934 | − | 0.220048i | −0.191235 | − | 0.981544i | \(-0.561249\pi\) |
0.648169 | + | 0.761497i | \(0.275535\pi\) | |||||||
\(720\) | 28.5804 | + | 35.8387i | 1.06513 | + | 1.33563i | ||||
\(721\) | −11.8632 | + | 35.2345i | −0.441809 | + | 1.31220i | ||||
\(722\) | −36.5190 | + | 45.7934i | −1.35910 | + | 1.70426i | ||||
\(723\) | −6.12640 | + | 26.8415i | −0.227843 | + | 0.998247i | ||||
\(724\) | 0.0305852 | − | 0.0383526i | 0.00113669 | − | 0.00142536i | ||||
\(725\) | −0.430326 | + | 0.207234i | −0.0159819 | + | 0.00769649i | ||||
\(726\) | 21.6941 | + | 27.2036i | 0.805144 | + | 1.00962i | ||||
\(727\) | 6.31323 | + | 3.04029i | 0.234145 | + | 0.112758i | 0.547278 | − | 0.836951i | \(-0.315664\pi\) |
−0.313133 | + | 0.949709i | \(0.601378\pi\) | |||||||
\(728\) | −4.31323 | − | 6.68756i | −0.159859 | − | 0.247858i | ||||
\(729\) | 16.9207 | − | 8.14859i | 0.626694 | − | 0.301800i | ||||
\(730\) | −43.7729 | − | 21.0799i | −1.62011 | − | 0.780203i | ||||
\(731\) | −5.10196 | − | 22.3532i | −0.188703 | − | 0.826761i | ||||
\(732\) | 8.27432 | + | 3.98470i | 0.305828 | + | 0.147279i | ||||
\(733\) | 19.3246 | − | 24.2323i | 0.713770 | − | 0.895039i | −0.284197 | − | 0.958766i | \(-0.591727\pi\) |
0.997967 | + | 0.0637266i | \(0.0202986\pi\) | |||||||
\(734\) | 22.2655 | 0.821834 | ||||||||
\(735\) | 38.1426 | + | 28.9687i | 1.40691 | + | 1.06853i | ||||
\(736\) | −7.05702 | −0.260125 | ||||||||
\(737\) | 1.85061 | − | 2.32060i | 0.0681682 | − | 0.0854803i | ||||
\(738\) | −37.5886 | − | 18.1017i | −1.38365 | − | 0.666333i | ||||
\(739\) | −11.2754 | − | 49.4010i | −0.414774 | − | 1.81724i | −0.560786 | − | 0.827961i | \(-0.689501\pi\) |
0.146012 | − | 0.989283i | \(-0.453356\pi\) | |||||||
\(740\) | −3.02726 | − | 1.45785i | −0.111284 | − | 0.0535917i | ||||
\(741\) | −21.9830 | + | 10.5865i | −0.807567 | + | 0.388904i | ||||
\(742\) | 0.241971 | − | 0.718670i | 0.00888305 | − | 0.0263832i | ||||
\(743\) | 27.3369 | + | 13.1648i | 1.00289 | + | 0.482969i | 0.861920 | − | 0.507045i | \(-0.169262\pi\) |
0.140975 | + | 0.990013i | \(0.454976\pi\) | |||||||
\(744\) | −3.26404 | − | 4.09297i | −0.119665 | − | 0.150056i | ||||
\(745\) | −9.18600 | + | 4.42374i | −0.336549 | + | 0.162073i | ||||
\(746\) | −15.1000 | + | 18.9349i | −0.552852 | + | 0.693254i | ||||
\(747\) | 2.29716 | − | 10.0645i | 0.0840488 | − | 0.368242i | ||||
\(748\) | −0.915576 | + | 1.14810i | −0.0334768 | + | 0.0419785i | ||||
\(749\) | −3.72377 | + | 3.81292i | −0.136064 | + | 0.139321i | ||||
\(750\) | −27.3573 | − | 34.3049i | −0.998946 | − | 1.25264i | ||||
\(751\) | 16.7307 | − | 8.05709i | 0.610513 | − | 0.294007i | −0.102965 | − | 0.994685i | \(-0.532833\pi\) |
0.713478 | + | 0.700678i | \(0.247119\pi\) | |||||||
\(752\) | −4.79494 | + | 21.0080i | −0.174854 | + | 0.766084i | ||||
\(753\) | −74.8859 | −2.72899 | ||||||||
\(754\) | −12.4145 | −0.452109 | ||||||||
\(755\) | 8.71271 | − | 38.1729i | 0.317088 | − | 1.38925i | ||||
\(756\) | 4.59622 | + | 7.12633i | 0.167163 | + | 0.259182i | ||||
\(757\) | −1.30053 | − | 5.69799i | −0.0472685 | − | 0.207097i | 0.945779 | − | 0.324811i | \(-0.105301\pi\) |
−0.993048 | + | 0.117714i | \(0.962443\pi\) | |||||||
\(758\) | −4.76726 | − | 20.8867i | −0.173155 | − | 0.758641i | ||||
\(759\) | 10.9760 | + | 13.7634i | 0.398402 | + | 0.499580i | ||||
\(760\) | −33.7698 | − | 42.3460i | −1.22496 | − | 1.53605i | ||||
\(761\) | −9.61268 | − | 42.1159i | −0.348459 | − | 1.52670i | −0.780679 | − | 0.624932i | \(-0.785127\pi\) |
0.432220 | − | 0.901768i | \(-0.357730\pi\) | |||||||
\(762\) | −14.8879 | − | 65.2283i | −0.539333 | − | 2.36297i | ||||
\(763\) | 17.4337 | + | 10.6688i | 0.631141 | + | 0.386236i | ||||
\(764\) | −1.33452 | + | 5.84693i | −0.0482813 | + | 0.211534i | ||||
\(765\) | −43.5651 | −1.57510 | ||||||||
\(766\) | −11.8707 | −0.428904 | ||||||||
\(767\) | −2.34142 | + | 10.2584i | −0.0845439 | + | 0.370411i | ||||
\(768\) | 20.6096 | − | 9.92505i | 0.743684 | − | 0.358140i | ||||
\(769\) | −30.2479 | − | 37.9297i | −1.09077 | − | 1.36778i | −0.924271 | − | 0.381738i | \(-0.875326\pi\) |
−0.166497 | − | 0.986042i | \(-0.553246\pi\) | |||||||
\(770\) | −11.3117 | − | 1.13920i | −0.407644 | − | 0.0410540i | ||||
\(771\) | −37.6031 | + | 47.1528i | −1.35424 | + | 1.69817i | ||||
\(772\) | −1.97485 | + | 8.65238i | −0.0710764 | + | 0.311406i | ||||
\(773\) | 0.204755 | − | 0.256754i | 0.00736452 | − | 0.00923481i | −0.778136 | − | 0.628096i | \(-0.783834\pi\) |
0.785500 | + | 0.618862i | \(0.212406\pi\) | |||||||
\(774\) | 54.2845 | − | 26.1420i | 1.95122 | − | 0.939656i | ||||
\(775\) | −0.0177633 | − | 0.0222745i | −0.000638077 | − | 0.000800124i | ||||
\(776\) | 8.07896 | + | 3.89062i | 0.290018 | + | 0.139665i | ||||
\(777\) | 31.9261 | + | 19.5377i | 1.14534 | + | 0.700910i | ||||
\(778\) | −10.3777 | + | 4.99764i | −0.372059 | + | 0.179174i | ||||
\(779\) | 37.0774 | + | 17.8555i | 1.32843 | + | 0.639740i | ||||
\(780\) | −0.489970 | − | 2.14670i | −0.0175437 | − | 0.0768641i | ||||
\(781\) | −19.6809 | − | 9.47781i | −0.704237 | − | 0.339143i | ||||
\(782\) | −9.78026 | + | 12.2641i | −0.349741 | + | 0.438562i | ||||
\(783\) | 95.4459 | 3.41096 | ||||||||
\(784\) | −17.4614 | + | 14.6138i | −0.623620 | + | 0.521923i | ||||
\(785\) | −4.15947 | −0.148458 | ||||||||
\(786\) | −12.2871 | + | 15.4076i | −0.438267 | + | 0.549570i | ||||
\(787\) | −11.2888 | − | 5.43642i | −0.402403 | − | 0.193787i | 0.221725 | − | 0.975109i | \(-0.428831\pi\) |
−0.624128 | + | 0.781322i | \(0.714546\pi\) | |||||||
\(788\) | −0.197282 | − | 0.864351i | −0.00702790 | − | 0.0307912i | ||||
\(789\) | −8.70499 | − | 4.19210i | −0.309906 | − | 0.149243i | ||||
\(790\) | 10.8883 | − | 5.24355i | 0.387390 | − | 0.186557i | ||||
\(791\) | 13.5892 | − | 13.9145i | 0.483176 | − | 0.494743i | ||||
\(792\) | −25.0845 | − | 12.0801i | −0.891338 | − | 0.429246i | ||||
\(793\) | 5.84375 | + | 7.32784i | 0.207518 | + | 0.260219i | ||||
\(794\) | −39.7423 | + | 19.1389i | −1.41040 | + | 0.679213i | ||||
\(795\) | 0.943865 | − | 1.18357i | 0.0334755 | − | 0.0419769i | ||||
\(796\) | −0.162976 | + | 0.714046i | −0.00577654 | + | 0.0253087i | ||||
\(797\) | −25.9112 | + | 32.4917i | −0.917823 | + | 1.15091i | 0.0703425 | + | 0.997523i | \(0.477591\pi\) |
−0.988166 | + | 0.153391i | \(0.950981\pi\) | |||||||
\(798\) | 45.3267 | + | 70.2780i | 1.60455 | + | 2.48781i | ||||
\(799\) | −12.7685 | − | 16.0113i | −0.451719 | − | 0.566437i | ||||
\(800\) | 0.0809044 | − | 0.0389615i | 0.00286040 | − | 0.00137750i | ||||
\(801\) | 3.18052 | − | 13.9348i | 0.112378 | − | 0.492361i | ||||
\(802\) | −25.0603 | −0.884909 | ||||||||
\(803\) | 24.6346 | 0.869335 | ||||||||
\(804\) | 0.438438 | − | 1.92092i | 0.0154625 | − | 0.0677457i | ||||
\(805\) | 23.1705 | + | 2.33351i | 0.816654 | + | 0.0822456i | ||||
\(806\) | −0.164781 | − | 0.721952i | −0.00580415 | − | 0.0254297i | ||||
\(807\) | 7.16621 | + | 31.3972i | 0.252263 | + | 1.10523i | ||||
\(808\) | −2.73020 | − | 3.42357i | −0.0960482 | − | 0.120441i | ||||
\(809\) | −4.55152 | − | 5.70743i | −0.160023 | − | 0.200663i | 0.695356 | − | 0.718666i | \(-0.255247\pi\) |
−0.855379 | + | 0.518003i | \(0.826675\pi\) | |||||||
\(810\) | −7.45781 | − | 32.6748i | −0.262041 | − | 1.14807i | ||||
\(811\) | −0.134590 | − | 0.589678i | −0.00472610 | − | 0.0207064i | 0.972510 | − | 0.232862i | \(-0.0748089\pi\) |
−0.977236 | + | 0.212155i | \(0.931952\pi\) | |||||||
\(812\) | −1.00938 | − | 8.09662i | −0.0354224 | − | 0.284136i | ||||
\(813\) | 14.2190 | − | 62.2975i | 0.498682 | − | 2.18487i | ||||
\(814\) | −8.88455 | −0.311403 | ||||||||
\(815\) | −51.7501 | −1.81273 | ||||||||
\(816\) | 6.81328 | − | 29.8509i | 0.238513 | − | 1.04499i | ||||
\(817\) | −53.5463 | + | 25.7865i | −1.87335 | + | 0.902156i | ||||
\(818\) | −6.59628 | − | 8.27147i | −0.230633 | − | 0.289205i | ||||
\(819\) | 2.05254 | + | 16.4642i | 0.0717217 | + | 0.575304i | ||||
\(820\) | −2.31552 | + | 2.90358i | −0.0808616 | + | 0.101397i | ||||
\(821\) | −0.196146 | + | 0.859370i | −0.00684553 | + | 0.0299922i | −0.978235 | − | 0.207499i | \(-0.933468\pi\) |
0.971390 | + | 0.237491i | \(0.0763249\pi\) | |||||||
\(822\) | −40.3536 | + | 50.6018i | −1.40749 | + | 1.76494i | ||||
\(823\) | −7.56534 | + | 3.64328i | −0.263711 | + | 0.126997i | −0.561068 | − | 0.827770i | \(-0.689609\pi\) |
0.297357 | + | 0.954767i | \(0.403895\pi\) | |||||||
\(824\) | −26.3520 | − | 33.0443i | −0.918015 | − | 1.15115i | ||||
\(825\) | −0.201819 | − | 0.0971911i | −0.00702645 | − | 0.00338376i | ||||
\(826\) | 35.8829 | + | 3.61378i | 1.24853 | + | 0.125740i | ||||
\(827\) | −17.7583 | + | 8.55195i | −0.617517 | + | 0.297380i | −0.716369 | − | 0.697722i | \(-0.754197\pi\) |
0.0988521 | + | 0.995102i | \(0.468483\pi\) | |||||||
\(828\) | 7.12171 | + | 3.42964i | 0.247497 | + | 0.119188i | ||||
\(829\) | 2.13438 | + | 9.35132i | 0.0741300 | + | 0.324785i | 0.998373 | − | 0.0570200i | \(-0.0181599\pi\) |
−0.924243 | + | 0.381805i | \(0.875303\pi\) | |||||||
\(830\) | 4.31769 | + | 2.07929i | 0.149869 | + | 0.0721731i | ||||
\(831\) | 30.7445 | − | 38.5524i | 1.06652 | − | 1.33737i | ||||
\(832\) | 8.83966 | 0.306460 | ||||||||
\(833\) | −0.511860 | − | 21.6340i | −0.0177349 | − | 0.749574i | ||||
\(834\) | 59.4519 | 2.05865 | ||||||||
\(835\) | −1.10082 | + | 1.38039i | −0.0380955 | + | 0.0477702i | ||||
\(836\) | 3.42948 | + | 1.65155i | 0.118611 | + | 0.0571200i | ||||
\(837\) | 1.26688 | + | 5.55056i | 0.0437897 | + | 0.191855i | ||||
\(838\) | 13.9045 | + | 6.69605i | 0.480322 | + | 0.231311i | ||||
\(839\) | −15.2347 | + | 7.33664i | −0.525960 | + | 0.253289i | −0.677970 | − | 0.735090i | \(-0.737140\pi\) |
0.152009 | + | 0.988379i | \(0.451426\pi\) | |||||||
\(840\) | −51.1783 | + | 18.5904i | −1.76582 | + | 0.641428i | ||||
\(841\) | −56.6138 | − | 27.2638i | −1.95220 | − | 0.940130i | ||||
\(842\) | 28.0499 | + | 35.1735i | 0.966664 | + | 1.21216i | ||||
\(843\) | −22.2839 | + | 10.7314i | −0.767500 | + | 0.369608i | ||||
\(844\) | 1.45388 | − | 1.82311i | 0.0500447 | − | 0.0627540i | ||||
\(845\) | 0.500046 | − | 2.19084i | 0.0172021 | − | 0.0753673i | ||||
\(846\) | 33.5538 | − | 42.0751i | 1.15360 | − | 1.44657i | ||||
\(847\) | −21.9363 | + | 7.96829i | −0.753740 | + | 0.273794i | ||||
\(848\) | 0.448712 | + | 0.562667i | 0.0154088 | + | 0.0193221i | ||||
\(849\) | −34.7902 | + | 16.7541i | −1.19400 | + | 0.574998i | ||||
\(850\) | 0.0444153 | − | 0.194596i | 0.00152343 | − | 0.00667459i | ||||
\(851\) | 18.1989 | 0.623850 | ||||||||
\(852\) | −14.5006 | −0.496782 | ||||||||
\(853\) | 5.49695 | − | 24.0837i | 0.188212 | − | 0.824611i | −0.789347 | − | 0.613948i | \(-0.789581\pi\) |
0.977559 | − | 0.210663i | \(-0.0675623\pi\) | |||||||
\(854\) | 22.4450 | − | 22.9823i | 0.768052 | − | 0.786439i | ||||
\(855\) | 25.1283 | + | 110.094i | 0.859369 | + | 3.76514i | ||||
\(856\) | −1.34823 | − | 5.90699i | −0.0460816 | − | 0.201897i | ||||
\(857\) | 32.9256 | + | 41.2875i | 1.12472 | + | 1.41035i | 0.899979 | + | 0.435934i | \(0.143582\pi\) |
0.224740 | + | 0.974419i | \(0.427847\pi\) | |||||||
\(858\) | −3.63014 | − | 4.55205i | −0.123931 | − | 0.155404i | ||||
\(859\) | 8.40650 | + | 36.8313i | 0.286826 | + | 1.25667i | 0.888853 | + | 0.458192i | \(0.151503\pi\) |
−0.602027 | + | 0.798475i | \(0.705640\pi\) | |||||||
\(860\) | −1.19347 | − | 5.22893i | −0.0406970 | − | 0.178305i | ||||
\(861\) | 28.9059 | − | 29.5979i | 0.985109 | − | 1.00869i | ||||
\(862\) | 1.21869 | − | 5.33943i | 0.0415088 | − | 0.181862i | ||||
\(863\) | −5.03514 | −0.171398 | −0.0856991 | − | 0.996321i | \(-0.527312\pi\) | ||||
−0.0856991 | + | 0.996321i | \(0.527312\pi\) | |||||||
\(864\) | −17.9445 | −0.610484 | ||||||||
\(865\) | 5.89617 | − | 25.8328i | 0.200476 | − | 0.878342i | ||||
\(866\) | −5.33155 | + | 2.56754i | −0.181173 | + | 0.0872485i | ||||
\(867\) | −14.1300 | − | 17.7185i | −0.479880 | − | 0.601751i | ||||
\(868\) | 0.457452 | − | 0.166168i | 0.0155269 | − | 0.00564012i | ||||
\(869\) | −3.82059 | + | 4.79087i | −0.129605 | + | 0.162519i | ||||
\(870\) | −18.9018 | + | 82.8141i | −0.640830 | + | 2.80766i | ||||
\(871\) | 1.25374 | − | 1.57214i | 0.0424813 | − | 0.0532699i | ||||
\(872\) | −20.9348 | + | 10.0817i | −0.708943 | + | 0.341409i | ||||
\(873\) | −11.6565 | − | 14.6168i | −0.394512 | − | 0.494702i | ||||
\(874\) | 36.6340 | + | 17.6420i | 1.23916 | + | 0.596749i | ||||
\(875\) | 27.6626 | − | 10.0484i | 0.935168 | − | 0.339697i | ||||
\(876\) | 14.7335 | − | 7.09527i | 0.497798 | − | 0.239727i | ||||
\(877\) | −22.3181 | − | 10.7478i | −0.753630 | − | 0.362929i | 0.0172988 | − | 0.999850i | \(-0.494493\pi\) |
−0.770929 | + | 0.636921i | \(0.780208\pi\) | |||||||
\(878\) | −1.01412 | − | 4.44315i | −0.0342249 | − | 0.149949i | ||||
\(879\) | −40.3945 | − | 19.4530i | −1.36247 | − | 0.656133i | ||||
\(880\) | 6.72726 | − | 8.43571i | 0.226776 | − | 0.284368i | ||||
\(881\) | 49.9838 | 1.68400 | 0.841999 | − | 0.539479i | \(-0.181379\pi\) | ||||
0.841999 | + | 0.539479i | \(0.181379\pi\) | |||||||
\(882\) | 55.1261 | − | 13.9619i | 1.85619 | − | 0.470120i | ||||
\(883\) | 33.1211 | 1.11461 | 0.557307 | − | 0.830306i | \(-0.311834\pi\) | ||||
0.557307 | + | 0.830306i | \(0.311834\pi\) | |||||||
\(884\) | −0.620277 | + | 0.777802i | −0.0208622 | + | 0.0261603i | ||||
\(885\) | 64.8667 | + | 31.2382i | 2.18047 | + | 1.05006i | ||||
\(886\) | −1.28845 | − | 5.64506i | −0.0432863 | − | 0.189650i | ||||
\(887\) | −11.6184 | − | 5.59511i | −0.390107 | − | 0.187865i | 0.228541 | − | 0.973534i | \(-0.426605\pi\) |
−0.618647 | + | 0.785669i | \(0.712319\pi\) | |||||||
\(888\) | −38.3377 | + | 18.4625i | −1.28653 | + | 0.619560i | ||||
\(889\) | 44.6515 | + | 4.49687i | 1.49756 | + | 0.150820i | ||||
\(890\) | 5.97802 | + | 2.87886i | 0.200384 | + | 0.0964997i | ||||
\(891\) | 10.5954 | + | 13.2863i | 0.354960 | + | 0.445106i | ||||
\(892\) | −4.50499 | + | 2.16949i | −0.150838 | + | 0.0726399i | ||||
\(893\) | −33.0975 | + | 41.5029i | −1.10756 | + | 1.38884i | ||||
\(894\) | −3.98230 | + | 17.4476i | −0.133188 | + | 0.583535i | ||||
\(895\) | −18.5151 | + | 23.2172i | −0.618891 | + | 0.776065i | ||||
\(896\) | −2.56868 | − | 20.6042i | −0.0858135 | − | 0.688339i | ||||
\(897\) | 7.43589 | + | 9.32432i | 0.248277 | + | 0.311330i | ||||
\(898\) | −10.7322 | + | 5.16834i | −0.358137 | + | 0.172470i | ||||
\(899\) | 1.21897 | − | 5.34066i | 0.0406550 | − | 0.178121i | ||||
\(900\) | −0.100581 | −0.00335269 | ||||||||
\(901\) | −0.683972 | −0.0227864 | ||||||||
\(902\) | −2.18518 | + | 9.57388i | −0.0727584 | + | 0.318775i | ||||
\(903\) | 7.39134 | + | 59.2884i | 0.245968 | + | 1.97300i | ||||
\(904\) | 4.92012 | + | 21.5564i | 0.163641 | + | 0.716957i | ||||
\(905\) | −0.0762247 | − | 0.333962i | −0.00253379 | − | 0.0111013i | ||||
\(906\) | −42.8507 | − | 53.7331i | −1.42362 | − | 1.78516i | ||||
\(907\) | 33.0992 | + | 41.5051i | 1.09904 | + | 1.37816i | 0.918889 | + | 0.394517i | \(0.129088\pi\) |
0.180154 | + | 0.983638i | \(0.442340\pi\) | |||||||
\(908\) | −0.267190 | − | 1.17063i | −0.00886700 | − | 0.0388489i | ||||
\(909\) | 2.03156 | + | 8.90083i | 0.0673824 | + | 0.295222i | ||||
\(910\) | −7.66333 | − | 0.771777i | −0.254037 | − | 0.0255841i | ||||
\(911\) | −6.95716 | + | 30.4813i | −0.230501 | + | 1.00989i | 0.718725 | + | 0.695295i | \(0.244726\pi\) |
−0.949226 | + | 0.314596i | \(0.898131\pi\) | |||||||
\(912\) | −79.3667 | −2.62810 | ||||||||
\(913\) | −2.42991 | −0.0804183 | ||||||||
\(914\) | 10.9360 | − | 47.9137i | 0.361730 | − | 1.58484i | ||||
\(915\) | 57.7797 | − | 27.8252i | 1.91014 | − | 0.919874i | ||||
\(916\) | 1.56142 | + | 1.95796i | 0.0515908 | + | 0.0646928i | ||||
\(917\) | −7.16460 | − | 11.1085i | −0.236596 | − | 0.366836i | ||||
\(918\) | −24.8691 | + | 31.1849i | −0.820803 | + | 1.02925i | ||||
\(919\) | 11.0539 | − | 48.4304i | 0.364635 | − | 1.59757i | −0.376634 | − | 0.926362i | \(-0.622919\pi\) |
0.741269 | − | 0.671208i | \(-0.234224\pi\) | |||||||
\(920\) | −16.5065 | + | 20.6985i | −0.544203 | + | 0.682409i | ||||
\(921\) | −30.0297 | + | 14.4615i | −0.989513 | + | 0.476524i | ||||
\(922\) | −21.8470 | − | 27.3953i | −0.719494 | − | 0.902217i | ||||
\(923\) | −13.3332 | − | 6.42095i | −0.438869 | − | 0.211348i | ||||
\(924\) | 2.67365 | − | 2.73766i | 0.0879567 | − | 0.0900623i | ||||
\(925\) | −0.208639 | + | 0.100475i | −0.00686001 | + | 0.00330361i | ||||
\(926\) | −16.0727 | − | 7.74018i | −0.528180 | − | 0.254358i | ||||
\(927\) | 19.6086 | + | 85.9110i | 0.644031 | + | 2.82169i | ||||
\(928\) | 15.5561 | + | 7.49140i | 0.510653 | + | 0.245917i | ||||
\(929\) | −20.6056 | + | 25.8386i | −0.676046 | + | 0.847735i | −0.994983 | − | 0.100041i | \(-0.968103\pi\) |
0.318937 | + | 0.947776i | \(0.396674\pi\) | |||||||
\(930\) | −5.06686 | −0.166149 | ||||||||
\(931\) | −54.3765 | + | 13.7720i | −1.78212 | + | 0.451359i | ||||
\(932\) | 8.83929 | 0.289541 | ||||||||
\(933\) | 31.2119 | − | 39.1385i | 1.02183 | − | 1.28134i | ||||
\(934\) | −1.53014 | − | 0.736877i | −0.0500677 | − | 0.0241114i | ||||
\(935\) | 2.28181 | + | 9.99725i | 0.0746231 | + | 0.326945i | ||||
\(936\) | −16.9940 | − | 8.18389i | −0.555467 | − | 0.267499i | ||||
\(937\) | −3.73428 | + | 1.79834i | −0.121994 | + | 0.0587490i | −0.493885 | − | 0.869527i | \(-0.664424\pi\) |
0.371891 | + | 0.928276i | \(0.378709\pi\) | |||||||
\(938\) | −5.87861 | − | 3.59751i | −0.191944 | − | 0.117463i | ||||
\(939\) | 21.1198 | + | 10.1708i | 0.689218 | + | 0.331910i | ||||
\(940\) | −2.98687 | − | 3.74541i | −0.0974208 | − | 0.122162i | ||||
\(941\) | 15.9101 | − | 7.66188i | 0.518653 | − | 0.249770i | −0.156196 | − | 0.987726i | \(-0.549923\pi\) |
0.674849 | + | 0.737956i | \(0.264209\pi\) | |||||||
\(942\) | −4.55212 | + | 5.70817i | −0.148316 | + | 0.185982i | ||||
\(943\) | 4.47606 | − | 19.6109i | 0.145761 | − | 0.638619i | ||||
\(944\) | −21.3402 | + | 26.7598i | −0.694566 | + | 0.870958i | ||||
\(945\) | 58.9177 | + | 5.93363i | 1.91659 | + | 0.193021i | ||||
\(946\) | −8.84230 | − | 11.0879i | −0.287488 | − | 0.360498i | ||||
\(947\) | −21.1418 | + | 10.1814i | −0.687018 | + | 0.330850i | −0.744619 | − | 0.667489i | \(-0.767369\pi\) |
0.0576017 | + | 0.998340i | \(0.481655\pi\) | |||||||
\(948\) | −0.905155 | + | 3.96574i | −0.0293981 | + | 0.128801i | ||||
\(949\) | 16.6892 | 0.541755 | ||||||||
\(950\) | −0.517386 | −0.0167862 | ||||||||
\(951\) | 13.3946 | − | 58.6854i | 0.434348 | − | 1.90300i | ||||
\(952\) | 20.9838 | + | 12.8413i | 0.680089 | + | 0.416190i | ||||
\(953\) | 1.51207 | + | 6.62480i | 0.0489806 | + | 0.214598i | 0.993496 | − | 0.113870i | \(-0.0363247\pi\) |
−0.944515 | + | 0.328468i | \(0.893468\pi\) | |||||||
\(954\) | −0.399953 | − | 1.75231i | −0.0129490 | − | 0.0567331i | ||||
\(955\) | 26.1112 | + | 32.7425i | 0.844940 | + | 1.05952i | ||||
\(956\) | −0.195198 | − | 0.244771i | −0.00631316 | − | 0.00791645i | ||||
\(957\) | −9.58411 | − | 41.9907i | −0.309810 | − | 1.35737i | ||||
\(958\) | 3.51375 | + | 15.3948i | 0.113524 | + | 0.497382i | ||||
\(959\) | −23.5301 | − | 36.4828i | −0.759826 | − | 1.17809i | ||||
\(960\) | 13.4589 | − | 58.9673i | 0.434384 | − | 1.90316i | ||||
\(961\) | −30.6732 | −0.989459 | ||||||||
\(962\) | −6.01903 | −0.194061 | ||||||||
\(963\) | −2.81097 | + | 12.3157i | −0.0905824 | + | 0.396867i | ||||
\(964\) | 2.62166 | − | 1.26252i | 0.0844379 | − | 0.0406631i | ||||
\(965\) | 38.6399 | + | 48.4528i | 1.24386 | + | 1.55975i | ||||
\(966\) | 28.5602 | − | 29.2439i | 0.918908 | − | 0.940907i | ||||
\(967\) | −7.84285 | + | 9.83462i | −0.252209 | + | 0.316260i | −0.891778 | − | 0.452474i | \(-0.850542\pi\) |
0.639569 | + | 0.768734i | \(0.279113\pi\) | |||||||
\(968\) | 5.90399 | − | 25.8671i | 0.189761 | − | 0.831399i | ||||
\(969\) | 47.0292 | − | 58.9727i | 1.51079 | − | 1.89448i | ||||
\(970\) | 7.81930 | − | 3.76558i | 0.251063 | − | 0.120905i | ||||
\(971\) | −21.6635 | − | 27.1652i | −0.695215 | − | 0.871772i | 0.301441 | − | 0.953485i | \(-0.402532\pi\) |
−0.996656 | + | 0.0817125i | \(0.973961\pi\) | |||||||
\(972\) | 1.50050 | + | 0.722603i | 0.0481285 | + | 0.0231775i | ||||
\(973\) | −12.7247 | + | 37.7930i | −0.407934 | + | 1.21159i | ||||
\(974\) | 1.05387 | − | 0.507518i | 0.0337682 | − | 0.0162619i | ||||
\(975\) | −0.136727 | − | 0.0658442i | −0.00437877 | − | 0.00210870i | ||||
\(976\) | 6.78413 | + | 29.7232i | 0.217155 | + | 0.951417i | ||||
\(977\) | 25.9498 | + | 12.4968i | 0.830208 | + | 0.399807i | 0.800193 | − | 0.599742i | \(-0.204730\pi\) |
0.0300149 | + | 0.999549i | \(0.490445\pi\) | |||||||
\(978\) | −56.6353 | + | 71.0184i | −1.81100 | + | 2.27092i | ||||
\(979\) | −3.36432 | −0.107524 | ||||||||
\(980\) | −0.119736 | − | 5.06070i | −0.00382483 | − | 0.161658i | ||||
\(981\) | 48.4453 | 1.54674 | ||||||||
\(982\) | 11.1767 | − | 14.0152i | 0.356664 | − | 0.447242i | ||||
\(983\) | 10.4441 | + | 5.02963i | 0.333116 | + | 0.160420i | 0.592963 | − | 0.805229i | \(-0.297958\pi\) |
−0.259847 | + | 0.965650i | \(0.583672\pi\) | |||||||
\(984\) | 10.4657 | + | 45.8532i | 0.333634 | + | 1.46175i | ||||
\(985\) | −5.57790 | − | 2.68617i | −0.177727 | − | 0.0855886i | ||||
\(986\) | 34.5779 | − | 16.6519i | 1.10119 | − | 0.530303i | ||||
\(987\) | 28.9249 | + | 44.8473i | 0.920690 | + | 1.42751i | ||||
\(988\) | 2.32337 | + | 1.11888i | 0.0739163 | + | 0.0355962i | ||||
\(989\) | 18.1124 | + | 22.7122i | 0.575939 | + | 0.722205i | ||||
\(990\) | −24.2783 | + | 11.6918i | −0.771614 | + | 0.371590i | ||||
\(991\) | −2.03008 | + | 2.54564i | −0.0644876 | + | 0.0808649i | −0.813029 | − | 0.582223i | \(-0.802183\pi\) |
0.748542 | + | 0.663088i | \(0.230754\pi\) | |||||||
\(992\) | −0.229175 | + | 1.00408i | −0.00727632 | + | 0.0318796i | ||||
\(993\) | 23.3844 | − | 29.3231i | 0.742081 | − | 0.930540i | ||||
\(994\) | −16.1850 | + | 48.0704i | −0.513356 | + | 1.52470i | ||||
\(995\) | 3.18879 | + | 3.99862i | 0.101091 | + | 0.126765i | ||||
\(996\) | −1.45329 | + | 0.699866i | −0.0460491 | + | 0.0221761i | ||||
\(997\) | −6.80140 | + | 29.7989i | −0.215402 | + | 0.943739i | 0.745424 | + | 0.666590i | \(0.232247\pi\) |
−0.960827 | + | 0.277149i | \(0.910610\pi\) | |||||||
\(998\) | 31.7453 | 1.00488 | ||||||||
\(999\) | 46.2759 | 1.46411 |
(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 | 637.2.w.b.92.9 | ✓ | 174 | |
49.8 | even | 7 | inner | 637.2.w.b.547.9 | yes | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.b.92.9 | ✓ | 174 | 1.1 | even | 1 | trivial | |
637.2.w.b.547.9 | yes | 174 | 49.8 | even | 7 | inner |