Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(5,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.h (of order \(58\), degree \(28\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(1064\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 104.1 | ||
Character | \(\chi\) | \(=\) | 177.104 |
Dual form | 177.3.h.a.80.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{24}{29}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96521 | − | 3.26621i | −0.982607 | − | 1.63311i | −0.751007 | − | 0.660294i | \(-0.770431\pi\) |
−0.231600 | − | 0.972811i | \(-0.574396\pi\) | |||||||
\(3\) | 1.61314 | − | 2.52938i | 0.537713 | − | 0.843128i | ||||
\(4\) | −4.93243 | + | 9.30356i | −1.23311 | + | 2.32589i | ||||
\(5\) | 0.764614 | + | 7.03051i | 0.152923 | + | 1.40610i | 0.779334 | + | 0.626609i | \(0.215558\pi\) |
−0.626411 | + | 0.779493i | \(0.715477\pi\) | |||||||
\(6\) | −11.4317 | − | 0.298077i | −1.90528 | − | 0.0496794i | ||||
\(7\) | −7.86182 | + | 2.64896i | −1.12312 | + | 0.378422i | −0.818760 | − | 0.574135i | \(-0.805338\pi\) |
−0.304357 | + | 0.952558i | \(0.598442\pi\) | |||||||
\(8\) | 24.8556 | − | 1.34763i | 3.10695 | − | 0.168454i | ||||
\(9\) | −3.79556 | − | 8.16050i | −0.421729 | − | 0.906722i | ||||
\(10\) | 21.4605 | − | 16.3138i | 2.14605 | − | 1.63138i | ||||
\(11\) | 11.9787 | + | 8.12173i | 1.08897 | + | 0.738339i | 0.967148 | − | 0.254213i | \(-0.0818165\pi\) |
0.121820 | + | 0.992552i | \(0.461127\pi\) | |||||||
\(12\) | 15.5756 | + | 27.4840i | 1.29796 | + | 2.29033i | ||||
\(13\) | 2.93899 | + | 2.78396i | 0.226076 | + | 0.214151i | 0.792350 | − | 0.610066i | \(-0.208857\pi\) |
−0.566274 | + | 0.824217i | \(0.691616\pi\) | |||||||
\(14\) | 24.1022 | + | 20.4726i | 1.72159 | + | 1.46233i | ||||
\(15\) | 19.0163 | + | 9.40719i | 1.26775 | + | 0.627146i | ||||
\(16\) | −29.6107 | − | 43.6724i | −1.85067 | − | 2.72953i | ||||
\(17\) | 1.83265 | − | 5.43910i | 0.107803 | − | 0.319947i | −0.880152 | − | 0.474693i | \(-0.842559\pi\) |
0.987954 | + | 0.154746i | \(0.0494558\pi\) | |||||||
\(18\) | −19.1948 | + | 28.4342i | −1.06638 | + | 1.57968i | ||||
\(19\) | 3.75933 | + | 22.9309i | 0.197859 | + | 1.20689i | 0.879751 | + | 0.475435i | \(0.157709\pi\) |
−0.681891 | + | 0.731454i | \(0.738842\pi\) | |||||||
\(20\) | −69.1801 | − | 27.5639i | −3.45901 | − | 1.37819i | ||||
\(21\) | −5.98200 | + | 24.1587i | −0.284857 | + | 1.15041i | ||||
\(22\) | 2.98666 | − | 55.0857i | 0.135757 | − | 2.50390i | ||||
\(23\) | 28.1430 | − | 7.81385i | 1.22361 | − | 0.339733i | 0.405123 | − | 0.914262i | \(-0.367229\pi\) |
0.818484 | + | 0.574529i | \(0.194815\pi\) | |||||||
\(24\) | 36.6869 | − | 65.0434i | 1.52862 | − | 2.71014i | ||||
\(25\) | −24.4279 | + | 5.37698i | −0.977115 | + | 0.215079i | ||||
\(26\) | 3.31725 | − | 15.0704i | 0.127587 | − | 0.579632i | ||||
\(27\) | −26.7638 | − | 3.56360i | −0.991252 | − | 0.131985i | ||||
\(28\) | 14.1332 | − | 86.2088i | 0.504757 | − | 3.07888i | ||||
\(29\) | −18.9428 | + | 31.4832i | −0.653200 | + | 1.08563i | 0.336392 | + | 0.941722i | \(0.390793\pi\) |
−0.989592 | + | 0.143904i | \(0.954034\pi\) | |||||||
\(30\) | −6.64518 | − | 80.5983i | −0.221506 | − | 2.68661i | ||||
\(31\) | −6.27098 | + | 38.2513i | −0.202290 | + | 1.23391i | 0.669045 | + | 0.743222i | \(0.266703\pi\) |
−0.871334 | + | 0.490690i | \(0.836745\pi\) | |||||||
\(32\) | −42.6444 | + | 92.1744i | −1.33264 | + | 2.88045i | ||||
\(33\) | 39.8662 | − | 17.1971i | 1.20807 | − | 0.521125i | ||||
\(34\) | −21.3668 | + | 4.70318i | −0.628435 | + | 0.138329i | ||||
\(35\) | −24.6348 | − | 53.2472i | −0.703851 | − | 1.52135i | ||||
\(36\) | 94.6430 | + | 4.93892i | 2.62897 | + | 0.137192i | ||||
\(37\) | −1.73558 | + | 32.0109i | −0.0469075 | + | 0.865159i | 0.876515 | + | 0.481374i | \(0.159862\pi\) |
−0.923423 | + | 0.383784i | \(0.874621\pi\) | |||||||
\(38\) | 67.5092 | − | 57.3429i | 1.77656 | − | 1.50902i | ||||
\(39\) | 11.7827 | − | 2.94291i | 0.302120 | − | 0.0754593i | ||||
\(40\) | 28.4795 | + | 173.717i | 0.711988 | + | 4.34293i | ||||
\(41\) | 24.6707 | + | 6.84979i | 0.601724 | + | 0.167068i | 0.555015 | − | 0.831841i | \(-0.312713\pi\) |
0.0467097 | + | 0.998909i | \(0.485126\pi\) | |||||||
\(42\) | 90.6633 | − | 27.9386i | 2.15865 | − | 0.665204i | ||||
\(43\) | −22.2709 | − | 32.8472i | −0.517929 | − | 0.763888i | 0.475330 | − | 0.879808i | \(-0.342329\pi\) |
−0.993259 | + | 0.115920i | \(0.963018\pi\) | |||||||
\(44\) | −134.645 | + | 71.3842i | −3.06011 | + | 1.62237i | ||||
\(45\) | 54.4703 | − | 32.9243i | 1.21045 | − | 0.731652i | ||||
\(46\) | −80.8286 | − | 76.5650i | −1.75714 | − | 1.66446i | ||||
\(47\) | −4.55759 | + | 41.9063i | −0.0969700 | + | 0.891624i | 0.840088 | + | 0.542450i | \(0.182503\pi\) |
−0.937058 | + | 0.349174i | \(0.886462\pi\) | |||||||
\(48\) | −158.230 | + | 4.44692i | −3.29647 | + | 0.0926441i | ||||
\(49\) | 15.7828 | − | 11.9977i | 0.322097 | − | 0.244852i | ||||
\(50\) | 65.5684 | + | 69.2197i | 1.31137 | + | 1.38439i | ||||
\(51\) | −10.8012 | − | 13.4095i | −0.211789 | − | 0.262931i | ||||
\(52\) | −40.3971 | + | 13.6114i | −0.776867 | + | 0.261757i | ||||
\(53\) | 45.2679 | − | 59.5489i | 0.854111 | − | 1.12356i | −0.137005 | − | 0.990570i | \(-0.543748\pi\) |
0.991117 | − | 0.132994i | \(-0.0424591\pi\) | |||||||
\(54\) | 40.9571 | + | 94.4194i | 0.758465 | + | 1.74851i | ||||
\(55\) | −47.9408 | + | 90.4260i | −0.871651 | + | 1.64411i | ||||
\(56\) | −191.841 | + | 76.4364i | −3.42573 | + | 1.36494i | ||||
\(57\) | 64.0653 | + | 27.4820i | 1.12395 | + | 0.482140i | ||||
\(58\) | 140.057 | 2.41478 | ||||||||
\(59\) | −54.5351 | + | 22.5150i | −0.924324 | + | 0.381609i | ||||
\(60\) | −181.317 | + | 130.519i | −3.02195 | + | 2.17531i | ||||
\(61\) | 30.4446 | − | 18.3179i | 0.499091 | − | 0.300293i | −0.243660 | − | 0.969861i | \(-0.578348\pi\) |
0.742751 | + | 0.669567i | \(0.233520\pi\) | |||||||
\(62\) | 137.261 | − | 54.6896i | 2.21388 | − | 0.882090i | ||||
\(63\) | 51.4568 | + | 54.1021i | 0.816775 | + | 0.858764i | ||||
\(64\) | 175.046 | − | 19.0374i | 2.73510 | − | 0.297460i | ||||
\(65\) | −17.3254 | + | 22.7912i | −0.266545 | + | 0.350634i | ||||
\(66\) | −134.515 | − | 96.4154i | −2.03811 | − | 1.46084i | ||||
\(67\) | 0.462564 | + | 8.53149i | 0.00690394 | + | 0.127336i | 0.999954 | + | 0.00963909i | \(0.00306827\pi\) |
−0.993050 | + | 0.117697i | \(0.962449\pi\) | |||||||
\(68\) | 41.5636 | + | 43.8781i | 0.611229 | + | 0.645266i | ||||
\(69\) | 25.6343 | − | 83.7892i | 0.371512 | − | 1.21434i | ||||
\(70\) | −125.504 | + | 185.104i | −1.79291 | + | 2.64435i | ||||
\(71\) | −1.53603 | + | 14.1236i | −0.0216342 | + | 0.198923i | −0.999967 | − | 0.00811480i | \(-0.997417\pi\) |
0.978333 | + | 0.207038i | \(0.0663825\pi\) | |||||||
\(72\) | −105.338 | − | 197.719i | −1.46303 | − | 2.74610i | ||||
\(73\) | 5.70265 | − | 6.71368i | 0.0781185 | − | 0.0919682i | −0.721714 | − | 0.692191i | \(-0.756646\pi\) |
0.799833 | + | 0.600223i | \(0.204921\pi\) | |||||||
\(74\) | 107.965 | − | 57.2394i | 1.45899 | − | 0.773506i | ||||
\(75\) | −25.8051 | + | 70.4613i | −0.344069 | + | 0.939484i | ||||
\(76\) | −231.882 | − | 78.1300i | −3.05107 | − | 1.02803i | ||||
\(77\) | −115.688 | − | 32.1207i | −1.50244 | − | 0.417151i | ||||
\(78\) | −32.7677 | − | 32.7013i | −0.420099 | − | 0.419247i | ||||
\(79\) | 11.3096 | − | 28.3849i | 0.143159 | − | 0.359303i | −0.839860 | − | 0.542802i | \(-0.817363\pi\) |
0.983020 | + | 0.183499i | \(0.0587426\pi\) | |||||||
\(80\) | 284.399 | − | 241.570i | 3.55498 | − | 3.01963i | ||||
\(81\) | −52.1875 | + | 61.9473i | −0.644290 | + | 0.764781i | ||||
\(82\) | −26.1104 | − | 94.0410i | −0.318419 | − | 1.14684i | ||||
\(83\) | −9.32514 | − | 20.1560i | −0.112351 | − | 0.242843i | 0.843241 | − | 0.537536i | \(-0.180645\pi\) |
−0.955592 | + | 0.294693i | \(0.904783\pi\) | |||||||
\(84\) | −195.256 | − | 174.815i | −2.32448 | − | 2.08113i | ||||
\(85\) | 39.6409 | + | 8.72562i | 0.466363 | + | 0.102654i | ||||
\(86\) | −63.5187 | + | 137.293i | −0.738589 | + | 1.59643i | ||||
\(87\) | 49.0756 | + | 98.7003i | 0.564088 | + | 1.13449i | ||||
\(88\) | 308.682 | + | 185.728i | 3.50775 | + | 2.11054i | ||||
\(89\) | 38.2081 | − | 63.5024i | 0.429305 | − | 0.713510i | −0.564405 | − | 0.825498i | \(-0.690894\pi\) |
0.993710 | + | 0.111988i | \(0.0357219\pi\) | |||||||
\(90\) | −214.584 | − | 113.208i | −2.38426 | − | 1.25787i | ||||
\(91\) | −30.4804 | − | 14.1017i | −0.334949 | − | 0.154964i | ||||
\(92\) | −66.1167 | + | 300.371i | −0.718659 | + | 3.26490i | ||||
\(93\) | 86.6362 | + | 77.5664i | 0.931572 | + | 0.834047i | ||||
\(94\) | 145.832 | − | 67.4689i | 1.55140 | − | 0.717754i | ||||
\(95\) | −158.341 | + | 43.9633i | −1.66675 | + | 0.462771i | ||||
\(96\) | 164.353 | + | 256.554i | 1.71201 | + | 2.67244i | ||||
\(97\) | 36.4907 | + | 42.9602i | 0.376193 | + | 0.442888i | 0.917379 | − | 0.398014i | \(-0.130301\pi\) |
−0.541186 | + | 0.840903i | \(0.682025\pi\) | |||||||
\(98\) | −70.2036 | − | 27.9717i | −0.716364 | − | 0.285425i | ||||
\(99\) | 20.8117 | − | 128.578i | 0.210219 | − | 1.29877i | ||||
\(100\) | 70.4639 | − | 253.788i | 0.704639 | − | 2.53788i | ||||
\(101\) | 33.6679 | − | 99.9227i | 0.333345 | − | 0.989334i | −0.641629 | − | 0.767015i | \(-0.721741\pi\) |
0.974974 | − | 0.222318i | \(-0.0713624\pi\) | |||||||
\(102\) | −22.5715 | + | 61.6317i | −0.221289 | + | 0.604232i | ||||
\(103\) | −22.8317 | − | 43.0652i | −0.221667 | − | 0.418109i | 0.747589 | − | 0.664162i | \(-0.231211\pi\) |
−0.969257 | + | 0.246052i | \(0.920866\pi\) | |||||||
\(104\) | 76.8022 | + | 65.2363i | 0.738482 | + | 0.627273i | ||||
\(105\) | −174.422 | − | 23.5844i | −1.66116 | − | 0.224613i | ||||
\(106\) | −283.460 | − | 30.8282i | −2.67416 | − | 0.290832i | ||||
\(107\) | −68.1767 | − | 46.2250i | −0.637166 | − | 0.432009i | 0.199368 | − | 0.979925i | \(-0.436111\pi\) |
−0.836534 | + | 0.547916i | \(0.815421\pi\) | |||||||
\(108\) | 165.165 | − | 231.421i | 1.52930 | − | 2.14279i | ||||
\(109\) | 64.4864 | − | 61.0848i | 0.591618 | − | 0.560411i | −0.332216 | − | 0.943203i | \(-0.607796\pi\) |
0.923834 | + | 0.382793i | \(0.125038\pi\) | |||||||
\(110\) | 389.564 | − | 21.1216i | 3.54149 | − | 0.192014i | ||||
\(111\) | 78.1680 | + | 56.0280i | 0.704216 | + | 0.504756i | ||||
\(112\) | 348.480 | + | 264.908i | 3.11143 | + | 2.36525i | ||||
\(113\) | 5.81155 | + | 53.4364i | 0.0514297 | + | 0.472888i | 0.991326 | + | 0.131428i | \(0.0419561\pi\) |
−0.939896 | + | 0.341461i | \(0.889078\pi\) | |||||||
\(114\) | −36.1402 | − | 263.259i | −0.317020 | − | 2.30929i | ||||
\(115\) | 76.4539 | + | 191.885i | 0.664816 | + | 1.66856i | ||||
\(116\) | −199.471 | − | 331.524i | −1.71958 | − | 2.85797i | ||||
\(117\) | 11.5634 | − | 34.5503i | 0.0988323 | − | 0.295301i | ||||
\(118\) | 180.712 | + | 133.876i | 1.53146 | + | 1.13455i | ||||
\(119\) | 47.6158i | 0.400133i | ||||||||
\(120\) | 485.339 | + | 208.195i | 4.04449 | + | 1.73496i | ||||
\(121\) | 32.7389 | + | 82.1685i | 0.270570 | + | 0.679079i | ||||
\(122\) | −119.660 | − | 63.4398i | −0.980821 | − | 0.519999i | ||||
\(123\) | 57.1230 | − | 51.3520i | 0.464415 | − | 0.417496i | ||||
\(124\) | −324.942 | − | 247.014i | −2.62050 | − | 1.99205i | ||||
\(125\) | −0.0286064 | − | 0.0849008i | −0.000228851 | − | 0.000679206i | ||||
\(126\) | 75.5853 | − | 274.391i | 0.599883 | − | 2.17771i | ||||
\(127\) | −44.8089 | + | 42.4452i | −0.352826 | + | 0.334214i | −0.843500 | − | 0.537129i | \(-0.819509\pi\) |
0.490675 | + | 0.871343i | \(0.336750\pi\) | |||||||
\(128\) | −160.335 | − | 210.917i | −1.25262 | − | 1.64779i | ||||
\(129\) | −119.009 | + | 3.34464i | −0.922552 | + | 0.0259275i | ||||
\(130\) | 108.489 | + | 11.7989i | 0.834532 | + | 0.0907608i | ||||
\(131\) | 49.0976 | − | 51.8317i | 0.374791 | − | 0.395662i | −0.511126 | − | 0.859506i | \(-0.670772\pi\) |
0.885917 | + | 0.463844i | \(0.153530\pi\) | |||||||
\(132\) | −36.6431 | + | 455.721i | −0.277599 | + | 3.45243i | ||||
\(133\) | −90.2981 | − | 170.320i | −0.678933 | − | 1.28060i | ||||
\(134\) | 26.9566 | − | 18.2770i | 0.201169 | − | 0.136396i | ||||
\(135\) | 4.58998 | − | 190.888i | 0.0339999 | − | 1.41398i | ||||
\(136\) | 38.2217 | − | 137.662i | 0.281042 | − | 1.01222i | ||||
\(137\) | 85.3934 | − | 13.9995i | 0.623310 | − | 0.102186i | 0.158153 | − | 0.987415i | \(-0.449446\pi\) |
0.465157 | + | 0.885228i | \(0.345998\pi\) | |||||||
\(138\) | −324.050 | + | 80.9366i | −2.34819 | + | 0.586497i | ||||
\(139\) | −54.9541 | − | 64.6970i | −0.395353 | − | 0.465446i | 0.528086 | − | 0.849191i | \(-0.322910\pi\) |
−0.923439 | + | 0.383745i | \(0.874634\pi\) | |||||||
\(140\) | 616.898 | + | 33.4472i | 4.40641 | + | 0.238909i | ||||
\(141\) | 98.6452 | + | 79.1287i | 0.699611 | + | 0.561196i | ||||
\(142\) | 49.1492 | − | 22.7388i | 0.346121 | − | 0.160133i | ||||
\(143\) | 12.5946 | + | 57.2177i | 0.0880739 | + | 0.400124i | ||||
\(144\) | −244.000 | + | 407.399i | −1.69444 | + | 2.82916i | ||||
\(145\) | −235.827 | − | 109.105i | −1.62639 | − | 0.752448i | ||||
\(146\) | −33.1352 | − | 5.43224i | −0.226954 | − | 0.0372071i | ||||
\(147\) | −4.88709 | − | 59.2747i | −0.0332455 | − | 0.403229i | ||||
\(148\) | −289.254 | − | 174.039i | −1.95442 | − | 1.17594i | ||||
\(149\) | −137.904 | − | 22.6083i | −0.925532 | − | 0.151733i | −0.319876 | − | 0.947459i | \(-0.603641\pi\) |
−0.605657 | + | 0.795726i | \(0.707089\pi\) | |||||||
\(150\) | 280.854 | − | 54.1865i | 1.87236 | − | 0.361243i | ||||
\(151\) | −217.221 | − | 47.8140i | −1.43855 | − | 0.316649i | −0.573859 | − | 0.818954i | \(-0.694554\pi\) |
−0.864690 | + | 0.502305i | \(0.832485\pi\) | |||||||
\(152\) | 124.343 | + | 564.896i | 0.818046 | + | 3.71642i | ||||
\(153\) | −51.3417 | + | 5.68911i | −0.335566 | + | 0.0371838i | ||||
\(154\) | 122.439 | + | 440.986i | 0.795059 | + | 2.86355i | ||||
\(155\) | −273.721 | − | 14.8407i | −1.76594 | − | 0.0957465i | ||||
\(156\) | −30.7378 | + | 124.137i | −0.197037 | + | 0.795748i | ||||
\(157\) | 31.0033 | − | 77.8125i | 0.197473 | − | 0.495621i | −0.796578 | − | 0.604536i | \(-0.793358\pi\) |
0.994051 | + | 0.108915i | \(0.0347378\pi\) | |||||||
\(158\) | −114.937 | + | 18.8430i | −0.727449 | + | 0.119259i | ||||
\(159\) | −77.5985 | − | 210.561i | −0.488041 | − | 1.32428i | ||||
\(160\) | −680.639 | − | 229.334i | −4.25399 | − | 1.43334i | ||||
\(161\) | −200.556 | + | 135.981i | −1.24569 | + | 0.844600i | ||||
\(162\) | 304.893 | + | 48.7156i | 1.88205 | + | 0.300714i | ||||
\(163\) | −143.373 | + | 168.792i | −0.879589 | + | 1.03553i | 0.119499 | + | 0.992834i | \(0.461871\pi\) |
−0.999088 | + | 0.0426980i | \(0.986405\pi\) | |||||||
\(164\) | −185.414 | + | 195.739i | −1.13057 | + | 1.19353i | ||||
\(165\) | 151.387 | + | 267.130i | 0.917495 | + | 1.61897i | ||||
\(166\) | −47.5077 | + | 70.0687i | −0.286191 | + | 0.422101i | ||||
\(167\) | 23.0925 | + | 30.3776i | 0.138278 | + | 0.181902i | 0.860020 | − | 0.510261i | \(-0.170451\pi\) |
−0.721741 | + | 0.692163i | \(0.756658\pi\) | |||||||
\(168\) | −116.129 | + | 608.542i | −0.691246 | + | 3.62227i | ||||
\(169\) | −8.26224 | − | 152.388i | −0.0488890 | − | 0.901705i | ||||
\(170\) | −49.4031 | − | 146.623i | −0.290606 | − | 0.862489i | ||||
\(171\) | 172.859 | − | 117.714i | 1.01087 | − | 0.688383i | ||||
\(172\) | 415.446 | − | 45.1824i | 2.41538 | − | 0.262689i | ||||
\(173\) | 238.381 | + | 126.382i | 1.37793 | + | 0.730531i | 0.982200 | − | 0.187837i | \(-0.0601477\pi\) |
0.395727 | + | 0.918368i | \(0.370493\pi\) | |||||||
\(174\) | 225.932 | − | 354.259i | 1.29846 | − | 2.03597i | ||||
\(175\) | 177.804 | − | 106.981i | 1.01602 | − | 0.611322i | ||||
\(176\) | − | 763.627i | − | 4.33879i | ||||||
\(177\) | −31.0238 | + | 174.260i | −0.175276 | + | 0.984519i | ||||
\(178\) | −282.499 | −1.58707 | ||||||||
\(179\) | −78.7748 | − | 130.925i | −0.440083 | − | 0.731424i | 0.554852 | − | 0.831949i | \(-0.312775\pi\) |
−0.994934 | + | 0.100526i | \(0.967947\pi\) | |||||||
\(180\) | 37.6422 | + | 669.165i | 0.209123 | + | 3.71758i | ||||
\(181\) | −15.0671 | + | 28.4196i | −0.0832436 | + | 0.157014i | −0.921639 | − | 0.388048i | \(-0.873149\pi\) |
0.838395 | + | 0.545063i | \(0.183494\pi\) | |||||||
\(182\) | 13.8413 | + | 127.268i | 0.0760509 | + | 0.699276i | ||||
\(183\) | 2.77839 | − | 106.555i | 0.0151825 | − | 0.582270i | ||||
\(184\) | 688.981 | − | 232.145i | 3.74446 | − | 1.26166i | ||||
\(185\) | −226.380 | + | 12.2739i | −1.22367 | + | 0.0663457i | ||||
\(186\) | 83.0895 | − | 435.406i | 0.446718 | − | 2.34089i | ||||
\(187\) | 66.1275 | − | 50.2688i | 0.353623 | − | 0.268817i | ||||
\(188\) | −367.398 | − | 249.102i | −1.95425 | − | 1.32501i | ||||
\(189\) | 219.852 | − | 42.8797i | 1.16324 | − | 0.226877i | ||||
\(190\) | 454.768 | + | 430.779i | 2.39352 | + | 2.26726i | ||||
\(191\) | 247.931 | + | 210.594i | 1.29807 | + | 1.10259i | 0.988421 | + | 0.151735i | \(0.0484861\pi\) |
0.309645 | + | 0.950852i | \(0.399790\pi\) | |||||||
\(192\) | 234.221 | − | 473.469i | 1.21990 | − | 2.46598i | ||||
\(193\) | −143.246 | − | 211.272i | −0.742206 | − | 1.09467i | −0.991983 | − | 0.126369i | \(-0.959668\pi\) |
0.249777 | − | 0.968303i | \(-0.419643\pi\) | |||||||
\(194\) | 68.6050 | − | 203.612i | 0.353634 | − | 1.04955i | ||||
\(195\) | 29.6994 | + | 80.5881i | 0.152305 | + | 0.413272i | ||||
\(196\) | 33.7743 | + | 206.014i | 0.172318 | + | 1.05109i | ||||
\(197\) | 350.585 | + | 139.686i | 1.77962 | + | 0.709066i | 0.996153 | + | 0.0876351i | \(0.0279310\pi\) |
0.783469 | + | 0.621431i | \(0.213448\pi\) | |||||||
\(198\) | −460.863 | + | 184.708i | −2.32759 | + | 0.932871i | ||||
\(199\) | −18.6456 | + | 343.899i | −0.0936967 | + | 1.72813i | 0.453608 | + | 0.891201i | \(0.350137\pi\) |
−0.547305 | + | 0.836933i | \(0.684346\pi\) | |||||||
\(200\) | −599.925 | + | 166.568i | −2.99962 | + | 0.832841i | ||||
\(201\) | 22.3256 | + | 12.5925i | 0.111073 | + | 0.0626492i | ||||
\(202\) | −392.533 | + | 86.4031i | −1.94323 | + | 0.427738i | ||||
\(203\) | 65.5274 | − | 297.694i | 0.322795 | − | 1.46647i | ||||
\(204\) | 178.032 | − | 34.3486i | 0.872708 | − | 0.168376i | ||||
\(205\) | −29.2939 | + | 178.685i | −0.142897 | + | 0.871634i | ||||
\(206\) | −95.7909 | + | 159.206i | −0.465004 | + | 0.772843i | ||||
\(207\) | −170.583 | − | 200.003i | −0.824073 | − | 0.966196i | ||||
\(208\) | 34.5569 | − | 210.788i | 0.166139 | − | 1.01340i | ||||
\(209\) | −141.207 | + | 305.213i | −0.675630 | + | 1.46035i | ||||
\(210\) | 265.745 | + | 616.047i | 1.26545 | + | 2.93356i | ||||
\(211\) | 256.189 | − | 56.3915i | 1.21417 | − | 0.267259i | 0.438693 | − | 0.898637i | \(-0.355442\pi\) |
0.775475 | + | 0.631379i | \(0.217511\pi\) | |||||||
\(212\) | 330.736 | + | 714.874i | 1.56007 | + | 3.37205i | ||||
\(213\) | 33.2461 | + | 26.6685i | 0.156085 | + | 0.125204i | ||||
\(214\) | −16.9986 | + | 313.522i | −0.0794329 | + | 1.46505i | ||||
\(215\) | 213.904 | − | 181.691i | 0.994901 | − | 0.845076i | ||||
\(216\) | −670.034 | − | 52.5079i | −3.10201 | − | 0.243092i | ||||
\(217\) | −52.0247 | − | 317.336i | −0.239745 | − | 1.46238i | ||||
\(218\) | −326.245 | − | 90.5816i | −1.49654 | − | 0.415512i | ||||
\(219\) | −7.78229 | − | 25.2543i | −0.0355356 | − | 0.115316i | ||||
\(220\) | −604.818 | − | 892.041i | −2.74917 | − | 4.05473i | ||||
\(221\) | 20.5283 | − | 10.8834i | 0.0928884 | − | 0.0492463i | ||||
\(222\) | 29.3822 | − | 365.420i | 0.132352 | − | 1.64604i | ||||
\(223\) | 225.711 | + | 213.805i | 1.01216 | + | 0.958766i | 0.999153 | − | 0.0411498i | \(-0.0131021\pi\) |
0.0130036 | + | 0.999915i | \(0.495861\pi\) | |||||||
\(224\) | 91.0969 | − | 837.622i | 0.406682 | − | 3.73938i | ||||
\(225\) | 136.596 | + | 178.935i | 0.607095 | + | 0.795267i | ||||
\(226\) | 163.113 | − | 123.996i | 0.721741 | − | 0.548653i | ||||
\(227\) | −280.860 | − | 296.501i | −1.23727 | − | 1.30617i | −0.935730 | − | 0.352716i | \(-0.885258\pi\) |
−0.301539 | − | 0.953454i | \(-0.597500\pi\) | |||||||
\(228\) | −571.678 | + | 460.483i | −2.50736 | + | 2.01966i | ||||
\(229\) | −158.753 | + | 53.4902i | −0.693245 | + | 0.233581i | −0.643798 | − | 0.765195i | \(-0.722642\pi\) |
−0.0494468 | + | 0.998777i | \(0.515746\pi\) | |||||||
\(230\) | 476.488 | − | 626.809i | 2.07169 | − | 2.72526i | ||||
\(231\) | −267.867 | + | 240.805i | −1.15960 | + | 1.04244i | ||||
\(232\) | −428.407 | + | 808.062i | −1.84658 | + | 3.48303i | ||||
\(233\) | 231.117 | − | 92.0854i | 0.991918 | − | 0.395216i | 0.182984 | − | 0.983116i | \(-0.441424\pi\) |
0.808934 | + | 0.587899i | \(0.200045\pi\) | |||||||
\(234\) | −135.573 | + | 30.1303i | −0.579372 | + | 0.128762i | ||||
\(235\) | −298.108 | −1.26854 | ||||||||
\(236\) | 59.5216 | − | 618.424i | 0.252210 | − | 2.62044i | ||||
\(237\) | −53.5524 | − | 74.3952i | −0.225960 | − | 0.313904i | ||||
\(238\) | 155.523 | − | 93.5753i | 0.653459 | − | 0.393174i | ||||
\(239\) | 324.567 | − | 129.320i | 1.35802 | − | 0.541086i | 0.426407 | − | 0.904531i | \(-0.359779\pi\) |
0.931616 | + | 0.363445i | \(0.118400\pi\) | |||||||
\(240\) | −152.249 | − | 1109.04i | −0.634372 | − | 4.62100i | ||||
\(241\) | 147.021 | − | 15.9895i | 0.610046 | − | 0.0663465i | 0.202119 | − | 0.979361i | \(-0.435217\pi\) |
0.407927 | + | 0.913015i | \(0.366252\pi\) | |||||||
\(242\) | 204.041 | − | 268.411i | 0.843143 | − | 1.10914i | ||||
\(243\) | 72.5028 | + | 231.932i | 0.298365 | + | 0.954452i | ||||
\(244\) | 20.2557 | + | 373.595i | 0.0830152 | + | 1.53113i | ||||
\(245\) | 96.4179 | + | 101.787i | 0.393543 | + | 0.415458i | ||||
\(246\) | −279.985 | − | 85.6582i | −1.13815 | − | 0.348204i | ||||
\(247\) | −52.7900 | + | 77.8594i | −0.213725 | + | 0.315220i | ||||
\(248\) | −104.320 | + | 959.211i | −0.420647 | + | 3.86779i | ||||
\(249\) | −66.0249 | − | 8.92754i | −0.265160 | − | 0.0358536i | ||||
\(250\) | −0.221086 | + | 0.260283i | −0.000884345 | + | 0.00104113i | ||||
\(251\) | −165.258 | + | 87.6142i | −0.658398 | + | 0.349061i | −0.763878 | − | 0.645361i | \(-0.776707\pi\) |
0.105480 | + | 0.994421i | \(0.466362\pi\) | |||||||
\(252\) | −757.150 | + | 211.876i | −3.00456 | + | 0.840779i | ||||
\(253\) | 400.577 | + | 134.970i | 1.58331 | + | 0.533478i | ||||
\(254\) | 226.694 | + | 62.9413i | 0.892496 | + | 0.247800i | ||||
\(255\) | 86.0167 | − | 86.1913i | 0.337320 | − | 0.338005i | ||||
\(256\) | −113.114 | + | 283.893i | −0.441850 | + | 1.10896i | ||||
\(257\) | 225.788 | − | 191.786i | 0.878552 | − | 0.746249i | −0.0897675 | − | 0.995963i | \(-0.528612\pi\) |
0.968320 | + | 0.249714i | \(0.0803365\pi\) | |||||||
\(258\) | 244.803 | + | 382.136i | 0.948849 | + | 1.48115i | ||||
\(259\) | −71.1506 | − | 256.261i | −0.274713 | − | 0.989426i | ||||
\(260\) | −126.583 | − | 273.604i | −0.486857 | − | 1.05232i | ||||
\(261\) | 328.817 | + | 35.0864i | 1.25983 | + | 0.134431i | ||||
\(262\) | −265.780 | − | 58.5027i | −1.01443 | − | 0.223293i | ||||
\(263\) | 202.298 | − | 437.261i | 0.769195 | − | 1.66259i | 0.0203946 | − | 0.999792i | \(-0.493508\pi\) |
0.748800 | − | 0.662796i | \(-0.230630\pi\) | |||||||
\(264\) | 967.725 | − | 481.170i | 3.66562 | − | 1.82261i | ||||
\(265\) | 453.272 | + | 272.724i | 1.71046 | + | 1.02915i | ||||
\(266\) | −378.847 | + | 629.649i | −1.42424 | + | 2.36710i | ||||
\(267\) | −98.9868 | − | 199.081i | −0.370737 | − | 0.745622i | ||||
\(268\) | −81.6548 | − | 37.7775i | −0.304682 | − | 0.140961i | ||||
\(269\) | 6.59144 | − | 29.9452i | 0.0245035 | − | 0.111321i | −0.962781 | − | 0.270281i | \(-0.912883\pi\) |
0.987285 | + | 0.158961i | \(0.0508143\pi\) | |||||||
\(270\) | −632.500 | + | 360.144i | −2.34259 | + | 1.33387i | ||||
\(271\) | 284.934 | − | 131.824i | 1.05142 | − | 0.486436i | 0.183433 | − | 0.983032i | \(-0.441279\pi\) |
0.867982 | + | 0.496596i | \(0.165417\pi\) | |||||||
\(272\) | −291.805 | + | 81.0191i | −1.07281 | + | 0.297864i | ||||
\(273\) | −84.8378 | + | 54.3485i | −0.310761 | + | 0.199079i | ||||
\(274\) | −213.542 | − | 251.401i | −0.779350 | − | 0.917521i | ||||
\(275\) | −336.284 | − | 133.988i | −1.22285 | − | 0.487228i | ||||
\(276\) | 653.098 | + | 651.775i | 2.36630 | + | 2.36150i | ||||
\(277\) | 29.0757 | − | 104.721i | 0.104966 | − | 0.378055i | −0.892343 | − | 0.451357i | \(-0.850940\pi\) |
0.997310 | + | 0.0733023i | \(0.0233538\pi\) | |||||||
\(278\) | −103.317 | + | 306.635i | −0.371645 | + | 1.10300i | ||||
\(279\) | 335.951 | − | 94.0106i | 1.20413 | − | 0.336956i | ||||
\(280\) | −684.071 | − | 1290.29i | −2.44311 | − | 4.60819i | ||||
\(281\) | −73.8138 | − | 62.6980i | −0.262682 | − | 0.223124i | 0.506360 | − | 0.862322i | \(-0.330991\pi\) |
−0.769042 | + | 0.639198i | \(0.779267\pi\) | |||||||
\(282\) | 64.5921 | − | 477.701i | 0.229050 | − | 1.69397i | ||||
\(283\) | −232.132 | − | 25.2459i | −0.820256 | − | 0.0892082i | −0.311638 | − | 0.950201i | \(-0.600878\pi\) |
−0.508618 | + | 0.860993i | \(0.669843\pi\) | |||||||
\(284\) | −123.823 | − | 83.9541i | −0.435997 | − | 0.295613i | ||||
\(285\) | −144.227 | + | 471.425i | −0.506059 | + | 1.65412i | ||||
\(286\) | 162.134 | − | 153.582i | 0.566902 | − | 0.536998i | ||||
\(287\) | −212.102 | + | 11.4998i | −0.739030 | + | 0.0400690i | ||||
\(288\) | 914.048 | − | 1.85363i | 3.17378 | − | 0.00643621i | ||||
\(289\) | 203.846 | + | 154.959i | 0.705348 | + | 0.536192i | ||||
\(290\) | 107.090 | + | 984.674i | 0.369275 | + | 3.39543i | ||||
\(291\) | 167.527 | − | 22.9982i | 0.575695 | − | 0.0790316i | ||||
\(292\) | 34.3331 | + | 86.1697i | 0.117579 | + | 0.295102i | ||||
\(293\) | −102.601 | − | 170.525i | −0.350175 | − | 0.581996i | 0.630843 | − | 0.775910i | \(-0.282709\pi\) |
−0.981018 | + | 0.193915i | \(0.937882\pi\) | |||||||
\(294\) | −183.999 | + | 132.450i | −0.625848 | + | 0.450509i | ||||
\(295\) | −199.990 | − | 366.194i | −0.677932 | − | 1.24134i | ||||
\(296\) | 797.989i | 2.69591i | ||||||||
\(297\) | −291.652 | − | 260.055i | −0.981992 | − | 0.875607i | ||||
\(298\) | 197.168 | + | 494.855i | 0.661638 | + | 1.66059i | ||||
\(299\) | 104.465 | + | 55.3840i | 0.349382 | + | 0.185231i | ||||
\(300\) | −528.259 | − | 587.626i | −1.76086 | − | 1.95875i | ||||
\(301\) | 262.101 | + | 199.244i | 0.870767 | + | 0.661940i | ||||
\(302\) | 270.715 | + | 803.454i | 0.896408 | + | 2.66044i | ||||
\(303\) | −198.432 | − | 246.348i | −0.654890 | − | 0.813031i | ||||
\(304\) | 890.132 | − | 843.178i | 2.92807 | − | 2.77361i | ||||
\(305\) | 152.062 | + | 200.035i | 0.498565 | + | 0.655851i | ||||
\(306\) | 119.479 | + | 156.512i | 0.390455 | + | 0.511478i | ||||
\(307\) | −143.975 | − | 15.6582i | −0.468974 | − | 0.0510040i | −0.129419 | − | 0.991590i | \(-0.541311\pi\) |
−0.339555 | + | 0.940586i | \(0.610277\pi\) | |||||||
\(308\) | 869.461 | − | 917.879i | 2.82292 | − | 2.98013i | ||||
\(309\) | −145.759 | − | 11.7200i | −0.471713 | − | 0.0379289i | ||||
\(310\) | 489.447 | + | 923.195i | 1.57886 | + | 2.97805i | ||||
\(311\) | −237.148 | + | 160.790i | −0.762532 | + | 0.517010i | −0.879369 | − | 0.476141i | \(-0.842035\pi\) |
0.116836 | + | 0.993151i | \(0.462725\pi\) | |||||||
\(312\) | 288.900 | − | 89.0267i | 0.925963 | − | 0.285342i | ||||
\(313\) | −94.2240 | + | 339.364i | −0.301035 | + | 1.08423i | 0.646063 | + | 0.763284i | \(0.276414\pi\) |
−0.947098 | + | 0.320946i | \(0.895999\pi\) | |||||||
\(314\) | −315.080 | + | 51.6548i | −1.00344 | + | 0.164506i | ||||
\(315\) | −341.021 | + | 403.135i | −1.08261 | + | 1.27979i | ||||
\(316\) | 208.297 | + | 245.226i | 0.659168 | + | 0.776033i | ||||
\(317\) | 164.821 | + | 8.93634i | 0.519940 | + | 0.0281904i | 0.312242 | − | 0.950003i | \(-0.398920\pi\) |
0.207698 | + | 0.978193i | \(0.433403\pi\) | |||||||
\(318\) | −535.238 | + | 667.250i | −1.68314 | + | 2.09827i | ||||
\(319\) | −482.607 | + | 223.278i | −1.51287 | + | 0.699930i | ||||
\(320\) | 267.685 | + | 1216.11i | 0.836517 | + | 3.80034i | ||||
\(321\) | −226.899 | + | 97.8777i | −0.706851 | + | 0.304915i | ||||
\(322\) | 838.278 | + | 387.829i | 2.60335 | + | 1.20444i | ||||
\(323\) | 131.613 | + | 21.5768i | 0.407470 | + | 0.0668013i | ||||
\(324\) | −318.919 | − | 791.080i | −0.984318 | − | 2.44161i | ||||
\(325\) | −86.7625 | − | 52.2033i | −0.266962 | − | 0.160626i | ||||
\(326\) | 833.068 | + | 136.575i | 2.55542 | + | 0.418940i | ||||
\(327\) | −50.4812 | − | 261.649i | −0.154377 | − | 0.800150i | ||||
\(328\) | 622.437 | + | 137.009i | 1.89767 | + | 0.417710i | ||||
\(329\) | −75.1771 | − | 341.533i | −0.228502 | − | 1.03809i | ||||
\(330\) | 574.997 | − | 1019.43i | 1.74242 | − | 3.08918i | ||||
\(331\) | −135.973 | − | 489.732i | −0.410796 | − | 1.47955i | −0.822779 | − | 0.568362i | \(-0.807577\pi\) |
0.411983 | − | 0.911192i | \(-0.364836\pi\) | |||||||
\(332\) | 233.518 | + | 12.6610i | 0.703367 | + | 0.0381355i | ||||
\(333\) | 267.812 | − | 107.336i | 0.804241 | − | 0.322330i | ||||
\(334\) | 53.8381 | − | 135.123i | 0.161192 | − | 0.404561i | ||||
\(335\) | −59.6270 | + | 9.77535i | −0.177991 | + | 0.0291802i | ||||
\(336\) | 1232.20 | − | 454.107i | 3.66726 | − | 1.35151i | ||||
\(337\) | 542.038 | + | 182.634i | 1.60842 | + | 0.541940i | 0.973115 | − | 0.230320i | \(-0.0739772\pi\) |
0.635307 | + | 0.772260i | \(0.280874\pi\) | |||||||
\(338\) | −481.495 | + | 326.461i | −1.42454 | + | 0.965862i | ||||
\(339\) | 144.536 | + | 71.5007i | 0.426359 | + | 0.210916i | ||||
\(340\) | −276.705 | + | 325.763i | −0.813839 | + | 0.958126i | ||||
\(341\) | −385.784 | + | 407.267i | −1.13133 | + | 1.19433i | ||||
\(342\) | −724.182 | − | 333.261i | −2.11749 | − | 0.974447i | ||||
\(343\) | 135.828 | − | 200.331i | 0.395999 | − | 0.584055i | ||||
\(344\) | −597.824 | − | 786.425i | −1.73786 | − | 2.28612i | ||||
\(345\) | 608.681 | + | 116.156i | 1.76429 | + | 0.336683i | ||||
\(346\) | −55.6808 | − | 1026.97i | −0.160927 | − | 2.96813i | ||||
\(347\) | −88.1158 | − | 261.518i | −0.253936 | − | 0.753655i | −0.996478 | − | 0.0838557i | \(-0.973277\pi\) |
0.742542 | − | 0.669800i | \(-0.233620\pi\) | |||||||
\(348\) | −1160.33 | − | 30.2551i | −3.33427 | − | 0.0869399i | ||||
\(349\) | −157.230 | + | 17.0998i | −0.450517 | + | 0.0489967i | −0.330565 | − | 0.943783i | \(-0.607239\pi\) |
−0.119952 | + | 0.992780i | \(0.538274\pi\) | |||||||
\(350\) | −698.847 | − | 370.505i | −1.99671 | − | 1.05859i | ||||
\(351\) | −68.7375 | − | 84.9826i | −0.195833 | − | 0.242116i | ||||
\(352\) | −1259.44 | + | 757.778i | −3.57795 | + | 2.15278i | ||||
\(353\) | − | 328.101i | − | 0.929464i | −0.885451 | − | 0.464732i | \(-0.846151\pi\) | ||
0.885451 | − | 0.464732i | \(-0.153849\pi\) | |||||||
\(354\) | 630.138 | − | 241.128i | 1.78005 | − | 0.681152i | ||||
\(355\) | −100.470 | −0.283015 | ||||||||
\(356\) | 402.339 | + | 668.693i | 1.13017 | + | 1.87835i | ||||
\(357\) | 120.439 | + | 76.8110i | 0.337363 | + | 0.215157i | ||||
\(358\) | −272.819 | + | 514.591i | −0.762063 | + | 1.43740i | ||||
\(359\) | 33.1956 | + | 305.228i | 0.0924668 | + | 0.850218i | 0.944895 | + | 0.327374i | \(0.106164\pi\) |
−0.852428 | + | 0.522844i | \(0.824871\pi\) | |||||||
\(360\) | 1309.52 | − | 891.761i | 3.63757 | − | 2.47711i | ||||
\(361\) | −169.590 | + | 57.1416i | −0.469779 | + | 0.158287i | ||||
\(362\) | 122.434 | − | 6.63820i | 0.338216 | − | 0.0183376i | ||||
\(363\) | 260.648 | + | 49.7400i | 0.718039 | + | 0.137025i | ||||
\(364\) | 281.539 | − | 214.020i | 0.773458 | − | 0.587968i | ||||
\(365\) | 51.5609 | + | 34.9591i | 0.141263 | + | 0.0957785i | ||||
\(366\) | −353.492 | + | 200.329i | −0.965826 | + | 0.547348i | ||||
\(367\) | 85.3082 | + | 80.8082i | 0.232447 | + | 0.220186i | 0.795054 | − | 0.606539i | \(-0.207443\pi\) |
−0.562606 | + | 0.826725i | \(0.690201\pi\) | |||||||
\(368\) | −1174.58 | − | 997.699i | −3.19180 | − | 2.71114i | ||||
\(369\) | −37.7414 | − | 227.324i | −0.102280 | − | 0.616054i | ||||
\(370\) | 484.974 | + | 715.283i | 1.31074 | + | 1.93320i | ||||
\(371\) | −198.146 | + | 588.076i | −0.534086 | + | 1.58511i | ||||
\(372\) | −1148.97 | + | 423.434i | −3.08863 | + | 1.13826i | ||||
\(373\) | −32.1647 | − | 196.196i | −0.0862324 | − | 0.525994i | −0.994252 | − | 0.107066i | \(-0.965854\pi\) |
0.908020 | − | 0.418928i | \(-0.137594\pi\) | |||||||
\(374\) | −294.143 | − | 117.197i | −0.786479 | − | 0.313362i | ||||
\(375\) | −0.260893 | − | 0.0646003i | −0.000695714 | − | 0.000172267i | ||||
\(376\) | −56.8074 | + | 1047.75i | −0.151084 | + | 2.78657i | ||||
\(377\) | −143.320 | + | 39.7927i | −0.380160 | + | 0.105551i | ||||
\(378\) | −572.111 | − | 633.816i | −1.51352 | − | 1.67676i | ||||
\(379\) | −42.5385 | + | 9.36343i | −0.112239 | + | 0.0247056i | −0.270735 | − | 0.962654i | \(-0.587267\pi\) |
0.158496 | + | 0.987360i | \(0.449336\pi\) | |||||||
\(380\) | 371.994 | − | 1689.98i | 0.978931 | − | 4.44733i | ||||
\(381\) | 35.0772 | + | 181.809i | 0.0920663 | + | 0.477189i | ||||
\(382\) | 200.608 | − | 1223.66i | 0.525153 | − | 3.20329i | ||||
\(383\) | −234.618 | + | 389.939i | −0.612581 | + | 1.01812i | 0.382958 | + | 0.923766i | \(0.374905\pi\) |
−0.995539 | + | 0.0943512i | \(0.969922\pi\) | |||||||
\(384\) | −792.132 | + | 65.3098i | −2.06284 | + | 0.170078i | ||||
\(385\) | 137.368 | − | 837.906i | 0.356799 | − | 2.17638i | ||||
\(386\) | −408.549 | + | 883.065i | −1.05842 | + | 2.28773i | ||||
\(387\) | −183.519 | + | 306.415i | −0.474209 | + | 0.791771i | ||||
\(388\) | −579.671 | + | 127.595i | −1.49400 | + | 0.328853i | ||||
\(389\) | −272.470 | − | 588.934i | −0.700437 | − | 1.51397i | −0.850886 | − | 0.525351i | \(-0.823934\pi\) |
0.150449 | − | 0.988618i | \(-0.451928\pi\) | |||||||
\(390\) | 204.852 | − | 255.377i | 0.525262 | − | 0.654814i | ||||
\(391\) | 9.07575 | − | 167.392i | 0.0232116 | − | 0.428113i | ||||
\(392\) | 376.122 | − | 319.481i | 0.959495 | − | 0.815002i | ||||
\(393\) | −51.9009 | − | 207.798i | −0.132063 | − | 0.528749i | ||||
\(394\) | −232.731 | − | 1419.60i | −0.590689 | − | 3.60304i | ||||
\(395\) | 208.208 | + | 57.8087i | 0.527109 | + | 0.146351i | ||||
\(396\) | 1093.58 | + | 827.826i | 2.76157 | + | 2.09047i | ||||
\(397\) | 89.7013 | + | 132.299i | 0.225948 | + | 0.333248i | 0.923718 | − | 0.383074i | \(-0.125135\pi\) |
−0.697770 | + | 0.716322i | \(0.745824\pi\) | |||||||
\(398\) | 1159.89 | − | 614.934i | 2.91429 | − | 1.54506i | ||||
\(399\) | −576.469 | − | 46.3520i | −1.44478 | − | 0.116170i | ||||
\(400\) | 958.152 | + | 907.610i | 2.39538 | + | 2.26902i | ||||
\(401\) | −27.8575 | + | 256.146i | −0.0694702 | + | 0.638768i | 0.906702 | + | 0.421771i | \(0.138592\pi\) |
−0.976172 | + | 0.216996i | \(0.930374\pi\) | |||||||
\(402\) | −2.74484 | − | 97.6670i | −0.00682796 | − | 0.242953i | ||||
\(403\) | −124.920 | + | 94.9619i | −0.309976 | + | 0.235637i | ||||
\(404\) | 763.572 | + | 806.093i | 1.89003 | + | 1.99528i | ||||
\(405\) | −475.424 | − | 319.539i | −1.17389 | − | 0.788984i | ||||
\(406\) | −1101.11 | + | 371.006i | −2.71208 | + | 0.913807i | ||||
\(407\) | −280.773 | + | 369.351i | −0.689861 | + | 0.907497i | ||||
\(408\) | −286.543 | − | 318.745i | −0.702311 | − | 0.781238i | ||||
\(409\) | −136.979 | + | 258.371i | −0.334913 | + | 0.631713i | −0.992580 | − | 0.121596i | \(-0.961199\pi\) |
0.657667 | + | 0.753309i | \(0.271544\pi\) | |||||||
\(410\) | 641.192 | − | 255.474i | 1.56388 | − | 0.623108i | ||||
\(411\) | 102.341 | − | 238.576i | 0.249006 | − | 0.580477i | ||||
\(412\) | 513.276 | 1.24582 | ||||||||
\(413\) | 369.104 | − | 321.470i | 0.893715 | − | 0.778377i | ||||
\(414\) | −318.018 | + | 950.209i | −0.768160 | + | 2.29519i | ||||
\(415\) | 134.577 | − | 80.9720i | 0.324281 | − | 0.195113i | ||||
\(416\) | −381.941 | + | 152.179i | −0.918127 | + | 0.365815i | ||||
\(417\) | −252.292 | + | 34.6347i | −0.605017 | + | 0.0830569i | ||||
\(418\) | 1274.39 | − | 138.599i | 3.04879 | − | 0.331576i | ||||
\(419\) | −134.681 | + | 177.170i | −0.321435 | + | 0.422840i | −0.928224 | − | 0.372023i | \(-0.878664\pi\) |
0.606789 | + | 0.794863i | \(0.292457\pi\) | |||||||
\(420\) | 1079.74 | − | 1506.42i | 2.57082 | − | 3.58670i | ||||
\(421\) | −7.87864 | − | 145.313i | −0.0187141 | − | 0.345161i | −0.992863 | − | 0.119257i | \(-0.961949\pi\) |
0.974149 | − | 0.225905i | \(-0.0725338\pi\) | |||||||
\(422\) | −687.654 | − | 725.947i | −1.62951 | − | 1.72025i | ||||
\(423\) | 359.275 | − | 121.866i | 0.849350 | − | 0.288099i | ||||
\(424\) | 1044.91 | − | 1541.13i | 2.46442 | − | 3.63474i | ||||
\(425\) | −15.5217 | + | 142.720i | −0.0365217 | + | 0.335811i | ||||
\(426\) | 21.7693 | − | 160.998i | 0.0511016 | − | 0.377930i | ||||
\(427\) | −190.827 | + | 224.658i | −0.446901 | + | 0.526132i | ||||
\(428\) | 766.334 | − | 406.285i | 1.79050 | − | 0.949263i | ||||
\(429\) | 165.042 | + | 60.4437i | 0.384714 | + | 0.140894i | ||||
\(430\) | −1013.81 | − | 341.592i | −2.35770 | − | 0.794400i | ||||
\(431\) | −263.121 | − | 73.0552i | −0.610490 | − | 0.169502i | −0.0514954 | − | 0.998673i | \(-0.516399\pi\) |
−0.558994 | + | 0.829172i | \(0.688813\pi\) | |||||||
\(432\) | 636.862 | + | 1274.36i | 1.47422 | + | 2.94991i | ||||
\(433\) | 167.008 | − | 419.159i | 0.385701 | − | 0.968036i | −0.600071 | − | 0.799947i | \(-0.704861\pi\) |
0.985772 | − | 0.168089i | \(-0.0537596\pi\) | |||||||
\(434\) | −934.248 | + | 793.557i | −2.15264 | + | 1.82847i | ||||
\(435\) | −656.390 | + | 420.494i | −1.50894 | + | 0.966653i | ||||
\(436\) | 250.231 | + | 901.250i | 0.573924 | + | 2.06709i | ||||
\(437\) | 284.977 | + | 615.968i | 0.652122 | + | 1.40954i | ||||
\(438\) | −67.1920 | + | 75.0487i | −0.153406 | + | 0.171344i | ||||
\(439\) | 811.467 | + | 178.617i | 1.84844 | + | 0.406873i | 0.993690 | − | 0.112159i | \(-0.0357766\pi\) |
0.854755 | + | 0.519032i | \(0.173708\pi\) | |||||||
\(440\) | −1069.74 | + | 2312.20i | −2.43122 | + | 5.25501i | ||||
\(441\) | −157.812 | − | 83.2570i | −0.357850 | − | 0.188791i | ||||
\(442\) | −75.8902 | − | 45.6616i | −0.171697 | − | 0.103307i | ||||
\(443\) | 29.1589 | − | 48.4624i | 0.0658214 | − | 0.109396i | −0.822199 | − | 0.569200i | \(-0.807253\pi\) |
0.888020 | + | 0.459804i | \(0.152080\pi\) | |||||||
\(444\) | −906.818 | + | 450.887i | −2.04238 | + | 1.01551i | ||||
\(445\) | 475.668 | + | 220.068i | 1.06892 | + | 0.494534i | ||||
\(446\) | 254.761 | − | 1157.39i | 0.571213 | − | 2.59505i | ||||
\(447\) | −279.644 | + | 312.343i | −0.625602 | + | 0.698753i | ||||
\(448\) | −1325.75 | + | 613.359i | −2.95927 | + | 1.36910i | ||||
\(449\) | 135.466 | − | 37.6119i | 0.301706 | − | 0.0837681i | −0.113377 | − | 0.993552i | \(-0.536167\pi\) |
0.415082 | + | 0.909784i | \(0.363753\pi\) | |||||||
\(450\) | 315.999 | − | 797.798i | 0.702219 | − | 1.77288i | ||||
\(451\) | 239.890 | + | 282.420i | 0.531906 | + | 0.626208i | ||||
\(452\) | −525.813 | − | 209.503i | −1.16330 | − | 0.463503i | ||||
\(453\) | −471.348 | + | 472.305i | −1.04050 | + | 1.04261i | ||||
\(454\) | −416.483 | + | 1500.04i | −0.917363 | + | 3.30404i | ||||
\(455\) | 75.8366 | − | 225.075i | 0.166674 | − | 0.494670i | ||||
\(456\) | 1629.42 | + | 596.745i | 3.57329 | + | 1.30865i | ||||
\(457\) | −57.6721 | − | 108.781i | −0.126197 | − | 0.238033i | 0.812361 | − | 0.583155i | \(-0.198182\pi\) |
−0.938558 | + | 0.345123i | \(0.887837\pi\) | |||||||
\(458\) | 486.694 | + | 413.402i | 1.06265 | + | 0.902624i | ||||
\(459\) | −68.4313 | + | 139.040i | −0.149088 | + | 0.302920i | ||||
\(460\) | −2162.31 | − | 235.166i | −4.70068 | − | 0.511230i | ||||
\(461\) | −506.580 | − | 343.470i | −1.09887 | − | 0.745053i | −0.129728 | − | 0.991550i | \(-0.541410\pi\) |
−0.969144 | + | 0.246496i | \(0.920721\pi\) | |||||||
\(462\) | 1312.93 | + | 401.677i | 2.84185 | + | 0.869430i | ||||
\(463\) | −275.654 | + | 261.113i | −0.595364 | + | 0.563959i | −0.924913 | − | 0.380180i | \(-0.875862\pi\) |
0.329548 | + | 0.944139i | \(0.393103\pi\) | |||||||
\(464\) | 1935.86 | − | 104.959i | 4.17210 | − | 0.226205i | ||||
\(465\) | −479.088 | + | 668.404i | −1.03030 | + | 1.43743i | ||||
\(466\) | −754.965 | − | 573.909i | −1.62010 | − | 1.23157i | ||||
\(467\) | −6.29970 | − | 57.9248i | −0.0134897 | − | 0.124036i | 0.985457 | − | 0.169926i | \(-0.0543530\pi\) |
−0.998946 | + | 0.0458904i | \(0.985387\pi\) | |||||||
\(468\) | 264.405 | + | 277.998i | 0.564968 | + | 0.594012i | ||||
\(469\) | −26.2362 | − | 65.8478i | −0.0559406 | − | 0.140400i | ||||
\(470\) | 585.845 | + | 973.682i | 1.24648 | + | 2.07166i | ||||
\(471\) | −146.805 | − | 203.942i | −0.311688 | − | 0.432997i | ||||
\(472\) | −1325.16 | + | 633.117i | −2.80755 | + | 1.34135i | ||||
\(473\) | − | 574.343i | − | 1.21426i | ||||||
\(474\) | −137.748 | + | 321.116i | −0.290608 | + | 0.677460i | ||||
\(475\) | −215.131 | − | 539.939i | −0.452908 | − | 1.13671i | ||||
\(476\) | −442.997 | − | 234.862i | −0.930665 | − | 0.493408i | ||||
\(477\) | −657.766 | − | 143.387i | −1.37896 | − | 0.300602i | ||||
\(478\) | −1060.23 | − | 805.965i | −2.21805 | − | 1.68612i | ||||
\(479\) | −29.7920 | − | 88.4195i | −0.0621962 | − | 0.184592i | 0.912050 | − | 0.410079i | \(-0.134499\pi\) |
−0.974246 | + | 0.225488i | \(0.927602\pi\) | |||||||
\(480\) | −1678.04 | + | 1351.65i | −3.49592 | + | 2.81594i | ||||
\(481\) | −94.2177 | + | 89.2478i | −0.195879 | + | 0.185546i | ||||
\(482\) | −341.153 | − | 448.779i | −0.707786 | − | 0.931076i | ||||
\(483\) | 20.4215 | + | 726.640i | 0.0422806 | + | 1.50443i | ||||
\(484\) | −925.942 | − | 100.702i | −1.91310 | − | 0.208063i | ||||
\(485\) | −274.131 | + | 289.396i | −0.565218 | + | 0.596693i | ||||
\(486\) | 615.055 | − | 692.605i | 1.26554 | − | 1.42511i | ||||
\(487\) | −342.417 | − | 645.867i | −0.703115 | − | 1.32622i | −0.935408 | − | 0.353570i | \(-0.884968\pi\) |
0.232293 | − | 0.972646i | \(-0.425377\pi\) | |||||||
\(488\) | 732.034 | − | 496.331i | 1.50007 | − | 1.01707i | ||||
\(489\) | 195.658 | + | 634.930i | 0.400119 | + | 1.29843i | ||||
\(490\) | 142.976 | − | 514.955i | 0.291789 | − | 1.05093i | ||||
\(491\) | 41.3865 | − | 6.78498i | 0.0842903 | − | 0.0138187i | −0.119489 | − | 0.992835i | \(-0.538126\pi\) |
0.203780 | + | 0.979017i | \(0.434677\pi\) | |||||||
\(492\) | 196.001 | + | 784.738i | 0.398375 | + | 1.59500i | ||||
\(493\) | 136.525 | + | 160.729i | 0.276926 | + | 0.326023i | ||||
\(494\) | 358.049 | + | 19.4128i | 0.724795 | + | 0.0392973i | ||||
\(495\) | 919.883 | + | 48.0039i | 1.85835 | + | 0.0969775i | ||||
\(496\) | 1856.21 | − | 858.776i | 3.74237 | − | 1.73140i | ||||
\(497\) | −25.3367 | − | 115.106i | −0.0509793 | − | 0.231601i | ||||
\(498\) | 100.594 | + | 233.196i | 0.201996 | + | 0.468265i | ||||
\(499\) | 415.654 | + | 192.302i | 0.832975 | + | 0.385375i | 0.789553 | − | 0.613682i | \(-0.210312\pi\) |
0.0434211 | + | 0.999057i | \(0.486174\pi\) | |||||||
\(500\) | 0.930979 | + | 0.152626i | 0.00186196 | + | 0.000305252i | ||||
\(501\) | 114.088 | − | 9.40634i | 0.227721 | − | 0.0187751i | ||||
\(502\) | 610.934 | + | 367.587i | 1.21700 | + | 0.732244i | ||||
\(503\) | 381.680 | + | 62.5732i | 0.758807 | + | 0.124400i | 0.528750 | − | 0.848777i | \(-0.322661\pi\) |
0.230056 | + | 0.973177i | \(0.426109\pi\) | |||||||
\(504\) | 1351.90 | + | 1275.40i | 2.68235 | + | 2.53055i | ||||
\(505\) | 728.250 | + | 160.300i | 1.44208 | + | 0.317426i | ||||
\(506\) | −346.378 | − | 1573.61i | −0.684542 | − | 3.10991i | ||||
\(507\) | −398.776 | − | 224.925i | −0.786541 | − | 0.443639i | ||||
\(508\) | −173.875 | − | 626.240i | −0.342273 | − | 1.23276i | ||||
\(509\) | 598.316 | + | 32.4397i | 1.17547 | + | 0.0637323i | 0.631504 | − | 0.775373i | \(-0.282438\pi\) |
0.543969 | + | 0.839105i | \(0.316921\pi\) | |||||||
\(510\) | −450.560 | − | 111.564i | −0.883452 | − | 0.218754i | ||||
\(511\) | −27.0490 | + | 67.8878i | −0.0529334 | + | 0.132853i | ||||
\(512\) | 103.749 | − | 17.0088i | 0.202635 | − | 0.0332203i | ||||
\(513\) | −18.8973 | − | 627.114i | −0.0368368 | − | 1.22245i | ||||
\(514\) | −1070.14 | − | 360.570i | −2.08197 | − | 0.701499i | ||||
\(515\) | 285.313 | − | 193.447i | 0.554006 | − | 0.375625i | ||||
\(516\) | 555.888 | − | 1123.71i | 1.07730 | − | 2.17773i | ||||
\(517\) | −394.946 | + | 464.966i | −0.763918 | + | 0.899354i | ||||
\(518\) | −697.177 | + | 736.001i | −1.34590 | + | 1.42085i | ||||
\(519\) | 704.211 | − | 399.086i | 1.35686 | − | 0.768953i | ||||
\(520\) | −399.921 | + | 589.839i | −0.769078 | + | 1.13431i | ||||
\(521\) | 115.593 | + | 152.060i | 0.221867 | + | 0.291861i | 0.893537 | − | 0.448989i | \(-0.148216\pi\) |
−0.671670 | + | 0.740850i | \(0.734423\pi\) | |||||||
\(522\) | −531.596 | − | 1142.94i | −1.01838 | − | 2.18954i | ||||
\(523\) | 30.8441 | + | 568.886i | 0.0589753 | + | 1.08774i | 0.866910 | + | 0.498464i | \(0.166102\pi\) |
−0.807935 | + | 0.589271i | \(0.799415\pi\) | |||||||
\(524\) | 240.049 | + | 712.439i | 0.458108 | + | 1.35962i | ||||
\(525\) | 16.2265 | − | 622.311i | 0.0309077 | − | 1.18535i | ||||
\(526\) | −1825.74 | + | 198.562i | −3.47100 | + | 0.377494i | ||||
\(527\) | 196.560 | + | 104.209i | 0.372979 | + | 0.197741i | ||||
\(528\) | −1931.50 | − | 1231.84i | −3.65815 | − | 2.33302i | ||||
\(529\) | 277.692 | − | 167.082i | 0.524939 | − | 0.315845i | ||||
\(530\) | − | 2016.44i | − | 3.80461i | ||||||
\(531\) | 390.724 | + | 359.577i | 0.735827 | + | 0.677169i | ||||
\(532\) | 2029.97 | 3.81574 | ||||||||
\(533\) | 53.4374 | + | 88.8136i | 0.100258 | + | 0.166630i | ||||
\(534\) | −455.711 | + | 714.549i | −0.853391 | + | 1.33811i | ||||
\(535\) | 272.856 | − | 514.661i | 0.510012 | − | 0.961984i | ||||
\(536\) | 22.9946 | + | 211.432i | 0.0429005 | + | 0.394463i | ||||
\(537\) | −458.234 | − | 11.9483i | −0.853322 | − | 0.0222501i | ||||
\(538\) | −110.761 | + | 37.3197i | −0.205875 | + | 0.0693675i | ||||
\(539\) | 286.499 | − | 15.5335i | 0.531537 | − | 0.0288191i | ||||
\(540\) | 1753.30 | + | 984.245i | 3.24685 | + | 1.82268i | ||||
\(541\) | −205.385 | + | 156.130i | −0.379640 | + | 0.288595i | −0.777540 | − | 0.628834i | \(-0.783532\pi\) |
0.397899 | + | 0.917429i | \(0.369739\pi\) | |||||||
\(542\) | −990.521 | − | 671.590i | −1.82753 | − | 1.23910i | ||||
\(543\) | 47.5786 | + | 83.9552i | 0.0876218 | + | 0.154614i | ||||
\(544\) | 423.193 | + | 400.870i | 0.777929 | + | 0.736893i | ||||
\(545\) | 478.764 | + | 406.666i | 0.878466 | + | 0.746176i | ||||
\(546\) | 344.238 | + | 170.292i | 0.630473 | + | 0.311890i | ||||
\(547\) | 272.540 | + | 401.966i | 0.498245 | + | 0.734856i | 0.990787 | − | 0.135433i | \(-0.0432425\pi\) |
−0.492542 | + | 0.870289i | \(0.663932\pi\) | |||||||
\(548\) | −290.952 | + | 863.514i | −0.530934 | + | 1.57576i | ||||
\(549\) | −265.037 | − | 178.916i | −0.482764 | − | 0.325895i | ||||
\(550\) | 223.237 | + | 1361.69i | 0.405886 | + | 2.47580i | ||||
\(551\) | −793.149 | − | 316.020i | −1.43947 | − | 0.573538i | ||||
\(552\) | 524.240 | − | 2117.18i | 0.949710 | − | 3.83547i | ||||
\(553\) | −13.7236 | + | 253.116i | −0.0248165 | + | 0.457714i | ||||
\(554\) | −399.182 | + | 110.832i | −0.720544 | + | 0.200058i | ||||
\(555\) | −334.137 | + | 592.401i | −0.602048 | + | 1.06739i | ||||
\(556\) | 872.970 | − | 192.155i | 1.57009 | − | 0.345603i | ||||
\(557\) | 56.9539 | − | 258.744i | 0.102251 | − | 0.464531i | −0.897474 | − | 0.441068i | \(-0.854600\pi\) |
0.999725 | − | 0.0234633i | \(-0.00746928\pi\) | |||||||
\(558\) | −967.275 | − | 912.537i | −1.73347 | − | 1.63537i | ||||
\(559\) | 25.9911 | − | 158.539i | 0.0464957 | − | 0.283611i | ||||
\(560\) | −1595.98 | + | 2652.54i | −2.84997 | + | 4.73669i | ||||
\(561\) | −20.4762 | − | 248.352i | −0.0364994 | − | 0.442696i | ||||
\(562\) | −59.7250 | + | 364.306i | −0.106272 | + | 0.648232i | ||||
\(563\) | −3.60470 | + | 7.79144i | −0.00640267 | + | 0.0138391i | −0.910750 | − | 0.412957i | \(-0.864496\pi\) |
0.904348 | + | 0.426796i | \(0.140358\pi\) | |||||||
\(564\) | −1222.74 | + | 527.454i | −2.16798 | + | 0.935202i | ||||
\(565\) | −371.241 | + | 81.7163i | −0.657064 | + | 0.144631i | ||||
\(566\) | 373.731 | + | 807.807i | 0.660303 | + | 1.42722i | ||||
\(567\) | 246.193 | − | 625.261i | 0.434203 | − | 1.10275i | ||||
\(568\) | −19.1456 | + | 353.120i | −0.0337071 | + | 0.621691i | ||||
\(569\) | −125.612 | + | 106.696i | −0.220760 | + | 0.187515i | −0.750941 | − | 0.660369i | \(-0.770400\pi\) |
0.530181 | + | 0.847884i | \(0.322124\pi\) | |||||||
\(570\) | 1823.21 | − | 455.375i | 3.19861 | − | 0.798904i | ||||
\(571\) | −149.850 | − | 914.043i | −0.262434 | − | 1.60078i | −0.708456 | − | 0.705755i | \(-0.750608\pi\) |
0.446022 | − | 0.895022i | \(-0.352840\pi\) | |||||||
\(572\) | −594.450 | − | 165.048i | −1.03925 | − | 0.288546i | ||||
\(573\) | 932.620 | − | 287.394i | 1.62761 | − | 0.501560i | ||||
\(574\) | 454.386 | + | 670.169i | 0.791613 | + | 1.16754i | ||||
\(575\) | −645.458 | + | 342.200i | −1.12254 | + | 0.595131i | ||||
\(576\) | −819.753 | − | 1356.21i | −1.42318 | − | 2.35453i | ||||
\(577\) | −58.8043 | − | 55.7024i | −0.101914 | − | 0.0965380i | 0.635046 | − | 0.772474i | \(-0.280981\pi\) |
−0.736960 | + | 0.675936i | \(0.763740\pi\) | |||||||
\(578\) | 105.530 | − | 970.332i | 0.182578 | − | 1.67877i | ||||
\(579\) | −765.463 | + | 21.5126i | −1.32204 | + | 0.0371548i | ||||
\(580\) | 2178.26 | − | 1655.87i | 3.75563 | − | 2.85495i | ||||
\(581\) | 126.705 | + | 133.761i | 0.218081 | + | 0.230225i | ||||
\(582\) | −404.344 | − | 501.983i | −0.694749 | − | 0.862514i | ||||
\(583\) | 1025.89 | − | 345.662i | 1.75967 | − | 0.592902i | ||||
\(584\) | 132.695 | − | 174.558i | 0.227218 | − | 0.298900i | ||||
\(585\) | 251.747 | + | 54.8788i | 0.430338 | + | 0.0938099i | ||||
\(586\) | −355.336 | + | 670.235i | −0.606376 | + | 1.14375i | ||||
\(587\) | 373.465 | − | 148.802i | 0.636227 | − | 0.253496i | −0.0296466 | − | 0.999560i | \(-0.509438\pi\) |
0.665874 | + | 0.746064i | \(0.268059\pi\) | |||||||
\(588\) | 575.571 | + | 246.901i | 0.978862 | + | 0.419900i | ||||
\(589\) | −900.710 | −1.52922 | ||||||||
\(590\) | −803.045 | + | 1372.86i | −1.36109 | + | 2.32688i | ||||
\(591\) | 918.863 | − | 661.432i | 1.55476 | − | 1.11917i | ||||
\(592\) | 1449.38 | − | 872.066i | 2.44828 | − | 1.47308i | ||||
\(593\) | −19.3592 | + | 7.71340i | −0.0326462 | + | 0.0130074i | −0.386404 | − | 0.922330i | \(-0.626283\pi\) |
0.353758 | + | 0.935337i | \(0.384904\pi\) | |||||||
\(594\) | −276.238 | + | 1463.66i | −0.465047 | + | 2.46407i | ||||
\(595\) | −334.763 | + | 36.4077i | −0.562628 | + | 0.0611894i | ||||
\(596\) | 890.542 | − | 1171.49i | 1.49420 | − | 1.96558i | ||||
\(597\) | 839.774 | + | 601.919i | 1.40666 | + | 1.00824i | ||||
\(598\) | −24.4008 | − | 450.047i | −0.0408041 | − | 0.752587i | ||||
\(599\) | 410.926 | + | 433.809i | 0.686020 | + | 0.724223i | 0.972252 | − | 0.233938i | \(-0.0751612\pi\) |
−0.286231 | + | 0.958161i | \(0.592403\pi\) | |||||||
\(600\) | −546.447 | + | 1786.14i | −0.910746 | + | 2.97689i | ||||
\(601\) | −126.261 | + | 186.221i | −0.210085 | + | 0.309852i | −0.918103 | − | 0.396342i | \(-0.870279\pi\) |
0.708018 | + | 0.706195i | \(0.249590\pi\) | |||||||
\(602\) | 135.688 | − | 1247.63i | 0.225396 | − | 2.07248i | ||||
\(603\) | 67.8655 | − | 36.1565i | 0.112546 | − | 0.0599611i | ||||
\(604\) | 1516.27 | − | 1785.09i | 2.51038 | − | 2.95545i | ||||
\(605\) | −552.654 | + | 292.998i | −0.913477 | + | 0.484295i | ||||
\(606\) | −414.664 | + | 1132.25i | −0.684265 | + | 1.86839i | ||||
\(607\) | −605.657 | − | 204.069i | −0.997787 | − | 0.336194i | −0.227422 | − | 0.973796i | \(-0.573030\pi\) |
−0.770365 | + | 0.637603i | \(0.779926\pi\) | |||||||
\(608\) | −2273.95 | − | 631.360i | −3.74006 | − | 1.03842i | ||||
\(609\) | −647.277 | − | 645.966i | −1.06285 | − | 1.06070i | ||||
\(610\) | 354.520 | − | 889.779i | 0.581181 | − | 1.45865i | ||||
\(611\) | −130.060 | + | 110.474i | −0.212864 | + | 0.180809i | ||||
\(612\) | 200.310 | − | 505.721i | 0.327305 | − | 0.826342i | ||||
\(613\) | 110.312 | + | 397.308i | 0.179954 | + | 0.648137i | 0.997396 | + | 0.0721250i | \(0.0229781\pi\) |
−0.817441 | + | 0.576012i | \(0.804608\pi\) | |||||||
\(614\) | 231.799 | + | 501.025i | 0.377522 | + | 0.816001i | ||||
\(615\) | 404.708 | + | 362.339i | 0.658061 | + | 0.589170i | ||||
\(616\) | −2918.79 | − | 642.474i | −4.73830 | − | 1.04298i | ||||
\(617\) | 188.286 | − | 406.974i | 0.305164 | − | 0.659601i | −0.692950 | − | 0.720985i | \(-0.743690\pi\) |
0.998114 | + | 0.0613845i | \(0.0195516\pi\) | |||||||
\(618\) | 248.168 | + | 499.113i | 0.401566 | + | 0.807626i | ||||
\(619\) | 767.369 | + | 461.710i | 1.23969 | + | 0.745897i | 0.975802 | − | 0.218656i | \(-0.0701673\pi\) |
0.263889 | + | 0.964553i | \(0.414995\pi\) | |||||||
\(620\) | 1488.18 | − | 2473.38i | 2.40029 | − | 3.98932i | ||||
\(621\) | −781.058 | + | 108.838i | −1.25774 | + | 0.175263i | ||||
\(622\) | 991.220 | + | 458.587i | 1.59360 | + | 0.737278i | ||||
\(623\) | −132.170 | + | 600.456i | −0.212151 | + | 0.963814i | ||||
\(624\) | −477.417 | − | 427.437i | −0.765092 | − | 0.684996i | ||||
\(625\) | −566.947 | + | 262.298i | −0.907115 | + | 0.419676i | ||||
\(626\) | 1293.60 | − | 359.168i | 2.06646 | − | 0.573750i | ||||
\(627\) | 544.215 | + | 849.518i | 0.867967 | + | 1.35489i | ||||
\(628\) | 571.011 | + | 672.246i | 0.909253 | + | 1.07046i | ||||
\(629\) | 170.930 | + | 68.1045i | 0.271748 | + | 0.108274i | ||||
\(630\) | 1986.90 | + | 321.600i | 3.15381 | + | 0.510476i | ||||
\(631\) | −53.2387 | + | 191.748i | −0.0843719 | + | 0.303880i | −0.993681 | − | 0.112241i | \(-0.964197\pi\) |
0.909309 | + | 0.416121i | \(0.136611\pi\) | |||||||
\(632\) | 242.855 | − | 720.767i | 0.384264 | − | 1.14045i | ||||
\(633\) | 270.634 | − | 738.969i | 0.427541 | − | 1.16741i | ||||
\(634\) | −294.721 | − | 555.902i | −0.464859 | − | 0.876818i | ||||
\(635\) | −332.673 | − | 282.575i | −0.523894 | − | 0.445000i | ||||
\(636\) | 2341.71 | + | 316.634i | 3.68194 | + | 0.497852i | ||||
\(637\) | 79.7865 | + | 8.67731i | 0.125254 | + | 0.0136221i | ||||
\(638\) | 1677.70 | + | 1137.51i | 2.62962 | + | 1.78293i | ||||
\(639\) | 121.085 | − | 41.0721i | 0.189492 | − | 0.0642755i | ||||
\(640\) | 1360.26 | − | 1288.51i | 2.12540 | − | 2.01329i | ||||
\(641\) | −259.349 | + | 14.0615i | −0.404600 | + | 0.0219368i | −0.255316 | − | 0.966858i | \(-0.582180\pi\) |
−0.149284 | + | 0.988794i | \(0.547697\pi\) | |||||||
\(642\) | 765.595 | + | 548.750i | 1.19252 | + | 0.854751i | ||||
\(643\) | 567.093 | + | 431.093i | 0.881949 | + | 0.670440i | 0.944823 | − | 0.327582i | \(-0.106234\pi\) |
−0.0628744 | + | 0.998021i | \(0.520027\pi\) | |||||||
\(644\) | −275.872 | − | 2536.60i | −0.428373 | − | 3.93883i | ||||
\(645\) | −114.511 | − | 834.138i | −0.177536 | − | 1.29324i | ||||
\(646\) | −188.173 | − | 472.278i | −0.291289 | − | 0.731081i | ||||
\(647\) | −72.8889 | − | 121.142i | −0.112657 | − | 0.187237i | 0.795399 | − | 0.606086i | \(-0.207261\pi\) |
−0.908056 | + | 0.418849i | \(0.862434\pi\) | |||||||
\(648\) | −1213.67 | + | 1610.07i | −1.87295 | + | 2.48467i | ||||
\(649\) | −836.117 | − | 173.220i | −1.28832 | − | 0.266904i | ||||
\(650\) | 385.975i | 0.593808i | ||||||||
\(651\) | −886.588 | − | 380.318i | −1.36189 | − | 0.584205i | ||||
\(652\) | −863.186 | − | 2166.43i | −1.32391 | − | 3.32275i | ||||
\(653\) | 293.699 | + | 155.709i | 0.449769 | + | 0.238452i | 0.677865 | − | 0.735186i | \(-0.262905\pi\) |
−0.228096 | + | 0.973639i | \(0.573250\pi\) | |||||||
\(654\) | −755.395 | + | 679.079i | −1.15504 | + | 1.03835i | ||||
\(655\) | 401.944 | + | 305.550i | 0.613654 | + | 0.466488i | ||||
\(656\) | −431.369 | − | 1280.26i | −0.657574 | − | 1.95161i | ||||
\(657\) | −76.4317 | − | 21.0543i | −0.116334 | − | 0.0320461i | ||||
\(658\) | −967.780 | + | 916.730i | −1.47079 | + | 1.39321i | ||||
\(659\) | 200.834 | + | 264.193i | 0.304756 | + | 0.400900i | 0.922822 | − | 0.385227i | \(-0.125877\pi\) |
−0.618066 | + | 0.786126i | \(0.712084\pi\) | |||||||
\(660\) | −3231.97 | + | 90.8314i | −4.89692 | + | 0.137623i | ||||
\(661\) | 1131.72 | + | 123.082i | 1.71213 | + | 0.186206i | 0.911036 | − | 0.412327i | \(-0.135284\pi\) |
0.801098 | + | 0.598533i | \(0.204249\pi\) | |||||||
\(662\) | −1332.35 | + | 1406.55i | −2.01262 | + | 2.12469i | ||||
\(663\) | 5.58670 | − | 69.4805i | 0.00842640 | − | 0.104797i | ||||
\(664\) | −258.945 | − | 488.423i | −0.389978 | − | 0.735576i | ||||
\(665\) | 1128.40 | − | 765.071i | 1.69683 | − | 1.15048i | ||||
\(666\) | −876.890 | − | 663.793i | −1.31665 | − | 0.996686i | ||||
\(667\) | −287.101 | + | 1034.05i | −0.430437 | + | 1.55029i | ||||
\(668\) | −396.522 | + | 65.0065i | −0.593596 | + | 0.0973151i | ||||
\(669\) | 904.897 | − | 226.012i | 1.35261 | − | 0.337836i | ||||
\(670\) | 149.108 | + | 175.544i | 0.222550 | + | 0.262006i | ||||
\(671\) | 513.458 | + | 27.8389i | 0.765213 | + | 0.0414886i | ||||
\(672\) | −1971.71 | − | 1581.62i | −2.93410 | − | 2.35360i | ||||
\(673\) | −773.318 | + | 357.775i | −1.14906 | + | 0.531613i | −0.899575 | − | 0.436766i | \(-0.856124\pi\) |
−0.249486 | + | 0.968378i | \(0.580262\pi\) | |||||||
\(674\) | −468.700 | − | 2129.33i | −0.695401 | − | 3.15924i | ||||
\(675\) | 672.944 | − | 56.8572i | 0.996955 | − | 0.0842329i | ||||
\(676\) | 1458.50 | + | 674.776i | 2.15755 | + | 0.998190i | ||||
\(677\) | −961.261 | − | 157.591i | −1.41988 | − | 0.232778i | −0.597572 | − | 0.801815i | \(-0.703868\pi\) |
−0.822312 | + | 0.569037i | \(0.807316\pi\) | |||||||
\(678\) | −50.5076 | − | 612.599i | −0.0744950 | − | 0.903538i | ||||
\(679\) | −400.683 | − | 241.083i | −0.590108 | − | 0.355056i | ||||
\(680\) | 997.058 | + | 163.459i | 1.46626 | + | 0.240381i | ||||
\(681\) | −1203.03 | + | 232.106i | −1.76656 | + | 0.340831i | ||||
\(682\) | 2088.37 | + | 459.685i | 3.06213 | + | 0.674025i | ||||
\(683\) | 111.185 | + | 505.119i | 0.162789 | + | 0.739559i | 0.985303 | + | 0.170814i | \(0.0546398\pi\) |
−0.822514 | + | 0.568745i | \(0.807429\pi\) | |||||||
\(684\) | 242.540 | + | 2188.82i | 0.354591 | + | 3.20002i | ||||
\(685\) | 163.717 | + | 589.655i | 0.239003 | + | 0.860810i | ||||
\(686\) | −921.254 | − | 49.9489i | −1.34294 | − | 0.0728118i | ||||
\(687\) | −120.794 | + | 487.835i | −0.175828 | + | 0.710094i | ||||
\(688\) | −775.060 | + | 1945.25i | −1.12654 | + | 2.82740i | ||||
\(689\) | 298.823 | − | 48.9896i | 0.433706 | − | 0.0711025i | ||||
\(690\) | −816.799 | − | 2216.35i | −1.18377 | − | 3.21210i | ||||
\(691\) | −828.120 | − | 279.026i | −1.19844 | − | 0.403800i | −0.351853 | − | 0.936055i | \(-0.614448\pi\) |
−0.846584 | + | 0.532255i | \(0.821345\pi\) | |||||||
\(692\) | −2351.60 | + | 1594.43i | −3.39827 | + | 2.30408i | ||||
\(693\) | 176.981 | + | 1065.99i | 0.255383 | + | 1.53822i | ||||
\(694\) | −681.008 | + | 801.745i | −0.981279 | + | 1.15525i | ||||
\(695\) | 412.834 | − | 435.824i | 0.594006 | − | 0.627084i | ||||
\(696\) | 1352.82 | + | 2387.12i | 1.94370 | + | 3.42978i | ||||
\(697\) | 82.4693 | − | 121.633i | 0.118320 | − | 0.174509i | ||||
\(698\) | 364.843 | + | 479.943i | 0.522698 | + | 0.687597i | ||||
\(699\) | 139.905 | − | 733.130i | 0.200150 | − | 1.04883i | ||||
\(700\) | 118.299 | + | 2181.89i | 0.168998 | + | 3.11699i | ||||
\(701\) | 265.566 | + | 788.173i | 0.378839 | + | 1.12436i | 0.952311 | + | 0.305130i | \(0.0986998\pi\) |
−0.573471 | + | 0.819226i | \(0.694404\pi\) | |||||||
\(702\) | −142.487 | + | 391.520i | −0.202973 | + | 0.557721i | ||||
\(703\) | −740.562 | + | 80.5410i | −1.05343 | + | 0.114568i | ||||
\(704\) | 2251.43 | + | 1193.63i | 3.19806 | + | 1.69550i | ||||
\(705\) | −480.889 | + | 754.028i | −0.682113 | + | 1.06954i | ||||
\(706\) | −1071.65 | + | 644.788i | −1.51791 | + | 0.913298i | ||||
\(707\) | 874.759i | 1.23728i | ||||||||
\(708\) | −1468.21 | − | 1148.16i | −2.07375 | − | 1.62169i | ||||
\(709\) | −751.430 | −1.05985 | −0.529923 | − | 0.848046i | \(-0.677779\pi\) | ||||
−0.529923 | + | 0.848046i | \(0.677779\pi\) | |||||||
\(710\) | 197.446 | + | 328.157i | 0.278092 | + | 0.462193i | ||||
\(711\) | −274.561 | + | 15.4448i | −0.386162 | + | 0.0217226i | ||||
\(712\) | 864.109 | − | 1629.88i | 1.21364 | − | 2.28916i | ||||
\(713\) | 122.406 | + | 1125.50i | 0.171677 | + | 1.57855i | ||||
\(714\) | 14.1932 | − | 544.328i | 0.0198784 | − | 0.762364i | ||||
\(715\) | −392.640 | + | 132.296i | −0.549146 | + | 0.185029i | ||||
\(716\) | 1606.62 | − | 87.1083i | 2.24388 | − | 0.121660i | ||||
\(717\) | 196.474 | − | 1029.57i | 0.274023 | − | 1.43594i | ||||
\(718\) | 931.704 | − | 708.263i | 1.29764 | − | 0.986438i | ||||
\(719\) | 828.719 | + | 561.885i | 1.15260 | + | 0.781481i | 0.979105 | − | 0.203354i | \(-0.0651841\pi\) |
0.173494 | + | 0.984835i | \(0.444494\pi\) | |||||||
\(720\) | −3050.79 | − | 1403.94i | −4.23721 | − | 1.94992i | ||||
\(721\) | 293.577 | + | 278.091i | 0.407180 | + | 0.385702i | ||||
\(722\) | 519.918 | + | 441.622i | 0.720108 | + | 0.611665i | ||||
\(723\) | 196.722 | − | 397.666i | 0.272091 | − | 0.550022i | ||||
\(724\) | −190.086 | − | 280.355i | −0.262549 | − | 0.387231i | ||||
\(725\) | 293.448 | − | 870.922i | 0.404756 | − | 1.20127i | ||||
\(726\) | −349.768 | − | 949.081i | −0.481774 | − | 1.30727i | ||||
\(727\) | −81.9732 | − | 500.015i | −0.112755 | − | 0.687778i | −0.981346 | − | 0.192248i | \(-0.938422\pi\) |
0.868591 | − | 0.495530i | \(-0.165026\pi\) | |||||||
\(728\) | −776.613 | − | 309.431i | −1.06678 | − | 0.425043i | ||||
\(729\) | 703.601 | + | 190.751i | 0.965160 | + | 0.261661i | ||||
\(730\) | 12.8558 | − | 237.111i | 0.0176107 | − | 0.324809i | ||||
\(731\) | −219.474 | + | 60.9366i | −0.300238 | + | 0.0833606i | ||||
\(732\) | 977.639 | + | 551.426i | 1.33557 | + | 0.753314i | ||||
\(733\) | 417.605 | − | 91.9219i | 0.569721 | − | 0.125405i | 0.0792378 | − | 0.996856i | \(-0.474751\pi\) |
0.490483 | + | 0.871451i | \(0.336820\pi\) | |||||||
\(734\) | 96.2878 | − | 437.440i | 0.131182 | − | 0.595967i | ||||
\(735\) | 412.994 | − | 79.6809i | 0.561897 | − | 0.108409i | ||||
\(736\) | −479.903 | + | 2927.28i | −0.652042 | + | 3.97728i | ||||
\(737\) | −63.7495 | + | 105.953i | −0.0864987 | + | 0.143762i | ||||
\(738\) | −668.318 | + | 570.012i | −0.905580 | + | 0.772374i | ||||
\(739\) | −190.474 | + | 1161.84i | −0.257745 | + | 1.57218i | 0.467693 | + | 0.883891i | \(0.345085\pi\) |
−0.725439 | + | 0.688287i | \(0.758363\pi\) | |||||||
\(740\) | 1002.41 | − | 2166.68i | 1.35461 | − | 2.92794i | ||||
\(741\) | 111.779 | + | 259.124i | 0.150848 | + | 0.349695i | ||||
\(742\) | 2310.18 | − | 508.509i | 3.11345 | − | 0.685322i | ||||
\(743\) | 200.802 | + | 434.026i | 0.270258 | + | 0.584154i | 0.994422 | − | 0.105474i | \(-0.0336360\pi\) |
−0.724164 | + | 0.689628i | \(0.757774\pi\) | |||||||
\(744\) | 2257.93 | + | 1811.21i | 3.03485 | + | 2.43442i | ||||
\(745\) | 53.5040 | − | 986.824i | 0.0718175 | − | 1.32460i | ||||
\(746\) | −577.606 | + | 490.623i | −0.774271 | + | 0.657672i | ||||
\(747\) | −129.089 | + | 152.601i | −0.172809 | + | 0.204285i | ||||
\(748\) | 141.509 | + | 863.169i | 0.189184 | + | 1.15397i | ||||
\(749\) | 658.442 | + | 182.815i | 0.879094 | + | 0.244079i | ||||
\(750\) | 0.301712 | + | 0.979084i | 0.000402283 | + | 0.00130545i | ||||
\(751\) | −525.049 | − | 774.389i | −0.699133 | − | 1.03114i | −0.997065 | − | 0.0765568i | \(-0.975607\pi\) |
0.297932 | − | 0.954587i | \(-0.403703\pi\) | |||||||
\(752\) | 1965.11 | − | 1041.83i | 2.61317 | − | 1.38542i | ||||
\(753\) | −44.9743 | + | 559.335i | −0.0597268 | + | 0.742808i | ||||
\(754\) | 411.627 | + | 389.913i | 0.545924 | + | 0.517127i | ||||
\(755\) | 170.066 | − | 1563.73i | 0.225253 | − | 2.07117i | ||||
\(756\) | −685.472 | + | 2256.91i | −0.906709 | + | 2.98533i | ||||
\(757\) | −1025.24 | + | 779.370i | −1.35435 | + | 1.02955i | −0.358991 | + | 0.933341i | \(0.616879\pi\) |
−0.995361 | + | 0.0962103i | \(0.969328\pi\) | |||||||
\(758\) | 114.180 | + | 120.539i | 0.150633 | + | 0.159022i | ||||
\(759\) | 987.577 | − | 795.486i | 1.30116 | − | 1.04807i | ||||
\(760\) | −3876.43 | + | 1306.12i | −5.10056 | + | 1.71858i | ||||
\(761\) | 690.785 | − | 908.712i | 0.907733 | − | 1.19410i | −0.0727206 | − | 0.997352i | \(-0.523168\pi\) |
0.980454 | − | 0.196750i | \(-0.0630388\pi\) | |||||||
\(762\) | 524.892 | − | 471.863i | 0.688835 | − | 0.619243i | ||||
\(763\) | −345.170 | + | 651.060i | −0.452385 | + | 0.853289i | ||||
\(764\) | −3182.18 | + | 1267.90i | −4.16515 | + | 1.65955i | ||||
\(765\) | −79.2539 | − | 356.608i | −0.103600 | − | 0.466154i | ||||
\(766\) | 1734.70 | 2.26462 | ||||||||
\(767\) | −222.959 | − | 85.6522i | −0.290689 | − | 0.111672i | ||||
\(768\) | 535.607 | + | 744.067i | 0.697406 | + | 0.968838i | ||||
\(769\) | 891.634 | − | 536.478i | 1.15947 | − | 0.697631i | 0.200100 | − | 0.979775i | \(-0.435873\pi\) |
0.959372 | + | 0.282144i | \(0.0910457\pi\) | |||||||
\(770\) | −3006.74 | + | 1197.99i | −3.90485 | + | 1.55584i | ||||
\(771\) | −120.873 | − | 880.482i | −0.156774 | − | 1.14200i | ||||
\(772\) | 2672.13 | − | 290.612i | 3.46131 | − | 0.376440i | ||||
\(773\) | 493.522 | − | 649.217i | 0.638451 | − | 0.839867i | −0.357103 | − | 0.934065i | \(-0.616235\pi\) |
0.995554 | + | 0.0941977i | \(0.0300286\pi\) | |||||||
\(774\) | 1361.47 | − | 2.76097i | 1.75901 | − | 0.00356715i | ||||
\(775\) | −52.4898 | − | 968.117i | −0.0677287 | − | 1.24918i | ||||
\(776\) | 964.894 | + | 1018.63i | 1.24342 | + | 1.31266i | ||||
\(777\) | −762.959 | − | 233.418i | −0.981929 | − | 0.300410i | ||||
\(778\) | −1388.12 | + | 2047.33i | −1.78422 | + | 2.63152i | ||||
\(779\) | −64.3264 | + | 591.472i | −0.0825756 | + | 0.759270i | ||||
\(780\) | −896.247 | − | 121.186i | −1.14903 | − | 0.155366i | ||||
\(781\) | −133.107 | + | 156.706i | −0.170432 | + | 0.200648i | ||||
\(782\) | −564.574 | + | 299.318i | −0.721962 | + | 0.382760i | ||||
\(783\) | 619.175 | − | 775.104i | 0.790772 | − | 0.989916i | ||||
\(784\) | −991.308 | − | 334.011i | −1.26442 | − | 0.426034i | ||||
\(785\) | 570.767 | + | 158.473i | 0.727091 | + | 0.201876i | ||||
\(786\) | −576.717 | + | 577.888i | −0.733736 | + | 0.735226i | ||||
\(787\) | 189.136 | − | 474.696i | 0.240325 | − | 0.603171i | −0.758498 | − | 0.651676i | \(-0.774066\pi\) |
0.998823 | + | 0.0485048i | \(0.0154456\pi\) | |||||||
\(788\) | −3028.82 | + | 2572.70i | −3.84368 | + | 3.26485i | ||||
\(789\) | −779.664 | − | 1217.05i | −0.988167 | − | 1.54253i | ||||
\(790\) | −220.358 | − | 793.658i | −0.278934 | − | 1.00463i | ||||
\(791\) | −187.240 | − | 404.713i | −0.236713 | − | 0.511647i | ||||
\(792\) | 344.011 | − | 3223.94i | 0.434357 | − | 4.07063i | ||||
\(793\) | 140.472 | + | 30.9203i | 0.177141 | + | 0.0389916i | ||||
\(794\) | 255.836 | − | 552.980i | 0.322211 | − | 0.696449i | ||||
\(795\) | 1421.02 | − | 706.555i | 1.78744 | − | 0.888748i | ||||
\(796\) | −3107.51 | − | 1869.73i | −3.90391 | − | 2.34891i | ||||
\(797\) | −59.0416 | + | 98.1279i | −0.0740798 | + | 0.123122i | −0.891683 | − | 0.452661i | \(-0.850475\pi\) |
0.817603 | + | 0.575782i | \(0.195302\pi\) | |||||||
\(798\) | 981.489 | + | 1973.96i | 1.22994 | + | 2.47364i | ||||
\(799\) | 219.580 | + | 101.589i | 0.274819 | + | 0.127145i | ||||
\(800\) | 546.092 | − | 2480.92i | 0.682616 | − | 3.10115i | ||||
\(801\) | −663.232 | − | 70.7702i | −0.828005 | − | 0.0883523i | ||||
\(802\) | 891.373 | − | 412.393i | 1.11144 | − | 0.514206i | ||||
\(803\) | 122.837 | − | 34.1054i | 0.152972 | − | 0.0424725i | ||||
\(804\) | −227.274 | + | 145.596i | −0.282680 | + | 0.181089i | ||||
\(805\) | −1109.36 | − | 1306.04i | −1.37809 | − | 1.62241i | ||||
\(806\) | 555.660 | + | 221.395i | 0.689405 | + | 0.274684i | ||||
\(807\) | −65.1100 | − | 64.9781i | −0.0806816 | − | 0.0805181i | ||||
\(808\) | 702.177 | − | 2529.01i | 0.869031 | − | 3.12997i | ||||
\(809\) | −64.1971 | + | 190.530i | −0.0793537 | + | 0.235513i | −0.979985 | − | 0.199070i | \(-0.936208\pi\) |
0.900632 | + | 0.434583i | \(0.143104\pi\) | |||||||
\(810\) | −109.370 | + | 2180.80i | −0.135025 | + | 2.69234i | ||||
\(811\) | 587.696 | + | 1108.51i | 0.724656 | + | 1.36685i | 0.922262 | + | 0.386565i | \(0.126339\pi\) |
−0.197606 | + | 0.980282i | \(0.563317\pi\) | |||||||
\(812\) | 2446.40 | + | 2077.99i | 3.01281 | + | 2.55910i | ||||
\(813\) | 126.204 | − | 933.357i | 0.155232 | − | 1.14804i | ||||
\(814\) | 1758.16 | + | 191.211i | 2.15990 | + | 0.234903i | ||||
\(815\) | −1296.32 | − | 878.925i | −1.59057 | − | 1.07844i | ||||
\(816\) | −265.793 | + | 868.781i | −0.325727 | + | 1.06468i | ||||
\(817\) | 669.491 | − | 634.176i | 0.819451 | − | 0.776225i | ||||
\(818\) | 1113.09 | − | 60.3498i | 1.36074 | − | 0.0737773i | ||||
\(819\) | 0.612961 | + | 302.259i | 0.000748426 | + | 0.369059i | ||||
\(820\) | −1517.92 | − | 1153.89i | −1.85112 | − | 1.40718i | ||||
\(821\) | −85.0369 | − | 781.901i | −0.103577 | − | 0.952377i | −0.924460 | − | 0.381280i | \(-0.875483\pi\) |
0.820882 | − | 0.571097i | \(-0.193482\pi\) | |||||||
\(822\) | −980.362 | + | 134.584i | −1.19265 | + | 0.163728i | ||||
\(823\) | 316.614 | + | 794.642i | 0.384707 | + | 0.965543i | 0.986035 | + | 0.166540i | \(0.0532595\pi\) |
−0.601327 | + | 0.799003i | \(0.705361\pi\) | |||||||
\(824\) | −625.534 | − | 1039.65i | −0.759143 | − | 1.26171i | ||||
\(825\) | −881.378 | + | 634.449i | −1.06834 | + | 0.769029i | ||||
\(826\) | −1775.36 | − | 573.815i | −2.14934 | − | 0.694692i | ||||
\(827\) | − | 385.594i | − | 0.466256i | −0.972446 | − | 0.233128i | \(-0.925104\pi\) | ||
0.972446 | − | 0.233128i | \(-0.0748962\pi\) | |||||||
\(828\) | 2702.13 | − | 600.531i | 3.26344 | − | 0.725279i | ||||
\(829\) | −124.944 | − | 313.585i | −0.150716 | − | 0.378269i | 0.834161 | − | 0.551520i | \(-0.185952\pi\) |
−0.984878 | + | 0.173251i | \(0.944573\pi\) | |||||||
\(830\) | −528.943 | − | 280.428i | −0.637281 | − | 0.337865i | ||||
\(831\) | −217.977 | − | 242.474i | −0.262307 | − | 0.291785i | ||||
\(832\) | 567.458 | + | 431.370i | 0.682041 | + | 0.518474i | ||||
\(833\) | −36.3327 | − | 107.832i | −0.0436167 | − | 0.129450i | ||||
\(834\) | 608.932 | + | 755.975i | 0.730135 | + | 0.906445i | ||||
\(835\) | −195.913 | + | 185.579i | −0.234627 | + | 0.222250i | ||||
\(836\) | −2143.08 | − | 2819.17i | −2.56349 | − | 3.37221i | ||||
\(837\) | 304.148 | − | 1001.40i | 0.363378 | − | 1.19642i | ||||
\(838\) | 843.352 | + | 91.7201i | 1.00639 | + | 0.109451i | ||||
\(839\) | −854.776 | + | 902.376i | −1.01880 | + | 1.07554i | −0.0216782 | + | 0.999765i | \(0.506901\pi\) |
−0.997125 | + | 0.0757726i | \(0.975858\pi\) | |||||||
\(840\) | −4367.15 | − | 351.148i | −5.19899 | − | 0.418034i | ||||
\(841\) | −238.429 | − | 449.725i | −0.283506 | − | 0.534750i | ||||
\(842\) | −459.140 | + | 311.304i | −0.545296 | + | 0.369720i | ||||
\(843\) | −277.659 | + | 85.5627i | −0.329370 | + | 0.101498i | ||||
\(844\) | −738.995 | + | 2661.62i | −0.875587 | + | 3.15358i | ||||
\(845\) | 1065.05 | − | 174.606i | 1.26041 | − | 0.206634i | ||||
\(846\) | −1104.09 | − | 933.976i | −1.30507 | − | 1.10399i | ||||
\(847\) | −475.049 | − | 559.270i | −0.560860 | − | 0.660296i | ||||
\(848\) | −3941.06 | − | 213.678i | −4.64748 | − | 0.251979i | ||||
\(849\) | −438.319 | + | 546.427i | −0.516277 | + | 0.643612i | ||||
\(850\) | 496.656 | − | 229.778i | 0.584302 | − | 0.270327i | ||||
\(851\) | 201.284 | + | 914.442i | 0.236526 | + | 1.07455i | ||||
\(852\) | −412.096 | + | 177.766i | −0.483681 | + | 0.208646i | ||||
\(853\) | −1202.68 | − | 556.420i | −1.40994 | − | 0.652310i | −0.440530 | − | 0.897738i | \(-0.645209\pi\) |
−0.969415 | + | 0.245428i | \(0.921071\pi\) | |||||||
\(854\) | 1108.80 | + | 181.778i | 1.29836 | + | 0.212855i | ||||
\(855\) | 959.756 | + | 1125.28i | 1.12252 | + | 1.31612i | ||||
\(856\) | −1756.87 | − | 1057.07i | −2.05242 | − | 1.23490i | ||||
\(857\) | 517.640 | + | 84.8628i | 0.604014 | + | 0.0990231i | 0.456027 | − | 0.889966i | \(-0.349272\pi\) |
0.147988 | + | 0.988989i | \(0.452720\pi\) | |||||||
\(858\) | −126.922 | − | 657.848i | −0.147927 | − | 0.766722i | ||||
\(859\) | −824.481 | − | 181.482i | −0.959815 | − | 0.211271i | −0.292682 | − | 0.956210i | \(-0.594548\pi\) |
−0.667133 | + | 0.744939i | \(0.732479\pi\) | |||||||
\(860\) | 635.311 | + | 2886.25i | 0.738734 | + | 3.35610i | ||||
\(861\) | −313.062 | + | 555.037i | −0.363603 | + | 0.644642i | ||||
\(862\) | 278.475 | + | 1002.98i | 0.323057 | + | 1.16355i | ||||
\(863\) | −1698.30 | − | 92.0790i | −1.96790 | − | 0.106696i | −0.974731 | − | 0.223383i | \(-0.928290\pi\) |
−0.993169 | + | 0.116687i | \(0.962773\pi\) | |||||||
\(864\) | 1469.80 | − | 2314.97i | 1.70116 | − | 2.67936i | ||||
\(865\) | −706.259 | + | 1772.58i | −0.816484 | + | 2.04922i | ||||
\(866\) | −1697.27 | + | 278.253i | −1.95990 | + | 0.321309i | ||||
\(867\) | 720.784 | − | 265.633i | 0.831354 | − | 0.306381i | ||||
\(868\) | 3208.97 | + | 1081.23i | 3.69696 | + | 1.24565i | ||||
\(869\) | 366.008 | − | 248.160i | 0.421183 | − | 0.285569i | ||||
\(870\) | 2663.37 | + | 1317.55i | 3.06134 | + | 1.51442i | ||||
\(871\) | −22.3918 | + | 26.3617i | −0.0257082 | + | 0.0302660i | ||||
\(872\) | 1520.53 | − | 1605.21i | 1.74373 | − | 1.84083i | ||||
\(873\) | 212.074 | − | 460.840i | 0.242925 | − | 0.527881i | ||||
\(874\) | 1451.84 | − | 2141.31i | 1.66115 | − | 2.45001i | ||||
\(875\) | 0.449797 | + | 0.591698i | 0.000514054 | + | 0.000676226i | ||||
\(876\) | 273.340 | + | 52.1621i | 0.312032 | + | 0.0595458i | ||||
\(877\) | 24.1143 | + | 444.761i | 0.0274963 | + | 0.507140i | 0.979549 | + | 0.201206i | \(0.0644859\pi\) |
−0.952053 | + | 0.305934i | \(0.901031\pi\) | |||||||
\(878\) | −1011.30 | − | 3001.44i | −1.15183 | − | 3.41850i | ||||
\(879\) | −596.833 | − | 15.5622i | −0.678991 | − | 0.0177044i | ||||
\(880\) | 5368.68 | − | 583.879i | 6.10078 | − | 0.663499i | ||||
\(881\) | −235.571 | − | 124.892i | −0.267391 | − | 0.141762i | 0.329319 | − | 0.944219i | \(-0.393181\pi\) |
−0.596710 | + | 0.802457i | \(0.703526\pi\) | |||||||
\(882\) | 38.1991 | + | 679.065i | 0.0433097 | + | 0.769915i | ||||
\(883\) | 1197.65 | − | 720.600i | 1.35634 | − | 0.816082i | 0.363053 | − | 0.931768i | \(-0.381734\pi\) |
0.993286 | + | 0.115686i | \(0.0369067\pi\) | |||||||
\(884\) | 244.668i | 0.276774i | ||||||||
\(885\) | −1248.86 | − | 84.8715i | −1.41114 | − | 0.0959001i | ||||
\(886\) | −215.592 | −0.243332 | ||||||||
\(887\) | 311.616 | + | 517.911i | 0.351315 | + | 0.583890i | 0.981246 | − | 0.192761i | \(-0.0617443\pi\) |
−0.629931 | + | 0.776651i | \(0.716917\pi\) | |||||||
\(888\) | 2018.42 | + | 1287.27i | 2.27300 | + | 1.44963i | ||||
\(889\) | 239.844 | − | 452.394i | 0.269791 | − | 0.508879i | ||||
\(890\) | −216.003 | − | 1986.11i | −0.242700 | − | 2.23159i | ||||
\(891\) | −1128.25 | + | 318.193i | −1.26628 | + | 0.357119i | ||||
\(892\) | −3102.45 | + | 1045.34i | −3.47808 | + | 1.17190i | ||||
\(893\) | −978.083 | + | 53.0301i | −1.09528 | + | 0.0593842i | ||||
\(894\) | 1569.74 | + | 299.556i | 1.75586 | + | 0.335074i | ||||
\(895\) | 860.235 | − | 653.934i | 0.961157 | − | 0.730653i | ||||
\(896\) | 1819.23 | + | 1233.47i | 2.03040 | + | 1.37664i | ||||
\(897\) | 308.604 | − | 174.891i | 0.344041 | − | 0.194973i | ||||
\(898\) | −389.068 | − | 368.544i | −0.433260 | − | 0.410406i | ||||
\(899\) | −1085.48 | − | 922.016i | −1.20743 | − | 1.02560i | ||||
\(900\) | −2338.49 | + | 388.247i | −2.59832 | + | 0.431385i | ||||
\(901\) | −240.932 | − | 355.349i | −0.267405 | − | 0.394394i | ||||
\(902\) | 451.009 | − | 1338.55i | 0.500009 | − | 1.48398i | ||||
\(903\) | 926.770 | − | 341.545i | 1.02632 | − | 0.378234i | ||||
\(904\) | 216.462 | + | 1320.36i | 0.239450 | + | 1.46058i | ||||
\(905\) | −211.324 | − | 84.1994i | −0.233508 | − | 0.0930380i | ||||
\(906\) | 2468.95 | + | 611.342i | 2.72511 | + | 0.674770i | ||||
\(907\) | 44.6532 | − | 823.580i | 0.0492318 | − | 0.908027i | −0.864733 | − | 0.502233i | \(-0.832512\pi\) |
0.913964 | − | 0.405794i | \(-0.133005\pi\) | |||||||
\(908\) | 4143.83 | − | 1150.53i | 4.56369 | − | 1.26710i | ||||
\(909\) | −943.207 | + | 104.516i | −1.03763 | + | 0.114979i | ||||
\(910\) | −884.177 | + | 194.622i | −0.971624 | + | 0.213871i | ||||
\(911\) | 27.6340 | − | 125.543i | 0.0303337 | − | 0.137808i | −0.959020 | − | 0.283339i | \(-0.908558\pi\) |
0.989354 | + | 0.145531i | \(0.0464890\pi\) | |||||||
\(912\) | −696.812 | − | 3611.65i | −0.764048 | − | 3.96014i | ||||
\(913\) | 51.9986 | − | 317.178i | 0.0569536 | − | 0.347402i | ||||
\(914\) | −241.964 | + | 402.147i | −0.264731 | + | 0.439986i | ||||
\(915\) | 751.262 | − | 61.9402i | 0.821052 | − | 0.0676942i | ||||
\(916\) | 285.391 | − | 1740.81i | 0.311562 | − | 1.90044i | ||||
\(917\) | −248.697 | + | 537.549i | −0.271207 | + | 0.586204i | ||||
\(918\) | 588.616 | − | 49.7323i | 0.641194 | − | 0.0541746i | ||||
\(919\) | −331.626 | + | 72.9964i | −0.360855 | + | 0.0794302i | −0.391698 | − | 0.920094i | \(-0.628112\pi\) |
0.0308424 | + | 0.999524i | \(0.490181\pi\) | |||||||
\(920\) | 2158.90 | + | 4666.39i | 2.34663 | + | 5.07216i | ||||
\(921\) | −271.858 | + | 338.909i | −0.295177 | + | 0.367980i | ||||
\(922\) | −126.307 | + | 2329.59i | −0.136992 | + | 2.52667i | ||||
\(923\) | −43.8338 | + | 37.2327i | −0.0474905 | + | 0.0403388i | ||||
\(924\) | −919.105 | − | 3679.87i | −0.994702 | − | 3.98254i | ||||
\(925\) | −129.725 | − | 791.290i | −0.140244 | − | 0.855449i | ||||
\(926\) | 1394.57 | + | 387.200i | 1.50601 | + | 0.418143i | ||||
\(927\) | −264.775 | + | 349.775i | −0.285625 | + | 0.377319i | ||||
\(928\) | −2094.14 | − | 3088.62i | −2.25661 | − | 3.32825i | ||||
\(929\) | −1016.84 | + | 539.093i | −1.09455 | + | 0.580294i | −0.914999 | − | 0.403455i | \(-0.867809\pi\) |
−0.179550 | + | 0.983749i | \(0.557464\pi\) | |||||||
\(930\) | 3124.66 | + | 251.244i | 3.35985 | + | 0.270154i | ||||
\(931\) | 334.451 | + | 316.809i | 0.359239 | + | 0.340289i | ||||
\(932\) | −283.247 | + | 2604.42i | −0.303913 | + | 2.79444i | ||||
\(933\) | 24.1474 | + | 859.214i | 0.0258815 | + | 0.920915i | ||||
\(934\) | −176.814 | + | 134.411i | −0.189309 | + | 0.143909i | ||||
\(935\) | 403.977 | + | 426.474i | 0.432061 | + | 0.456121i | ||||
\(936\) | 240.854 | − | 874.352i | 0.257323 | − | 0.934137i | ||||
\(937\) | 682.769 | − | 230.052i | 0.728676 | − | 0.245519i | 0.0695778 | − | 0.997577i | \(-0.477835\pi\) |
0.659098 | + | 0.752057i | \(0.270938\pi\) | |||||||
\(938\) | −163.513 | + | 215.098i | −0.174321 | + | 0.229315i | ||||
\(939\) | 706.385 | + | 785.770i | 0.752274 | + | 0.836816i | ||||
\(940\) | 1470.40 | − | 2773.46i | 1.56425 | − | 2.95049i | ||||
\(941\) | 221.912 | − | 88.4178i | 0.235826 | − | 0.0939615i | −0.249232 | − | 0.968444i | \(-0.580178\pi\) |
0.485057 | + | 0.874482i | \(0.338799\pi\) | |||||||
\(942\) | −377.614 | + | 880.285i | −0.400864 | + | 0.934485i | ||||
\(943\) | 747.830 | 0.793033 | ||||||||
\(944\) | 2598.10 | + | 1715.00i | 2.75223 | + | 1.81674i | ||||
\(945\) | 469.568 | + | 1512.89i | 0.496897 | + | 1.60094i | ||||
\(946\) | −1875.93 | + | 1128.71i | −1.98301 | + | 1.19314i | ||||
\(947\) | −932.669 | + | 371.609i | −0.984867 | + | 0.392407i | −0.806291 | − | 0.591519i | \(-0.798528\pi\) |
−0.178576 | + | 0.983926i | \(0.557149\pi\) | |||||||
\(948\) | 956.284 | − | 131.279i | 1.00874 | − | 0.138480i | ||||
\(949\) | 35.4506 | − | 3.85549i | 0.0373557 | − | 0.00406268i | ||||
\(950\) | −1340.78 | + | 1763.76i | −1.41134 | + | 1.85659i | ||||
\(951\) | 288.483 | − | 402.480i | 0.303347 | − | 0.423218i | ||||
\(952\) | 64.1687 | + | 1183.52i | 0.0674041 | + | 1.24320i | ||||
\(953\) | −414.464 | − | 437.545i | −0.434905 | − | 0.459124i | 0.471293 | − | 0.881977i | \(-0.343787\pi\) |
−0.906198 | + | 0.422853i | \(0.861029\pi\) | |||||||
\(954\) | 824.317 | + | 2430.19i | 0.864064 | + | 2.54737i | ||||
\(955\) | −1291.01 | + | 1904.10i | −1.35185 | + | 1.99382i | ||||
\(956\) | −397.776 | + | 3657.49i | −0.416084 | + | 3.82583i | ||||
\(957\) | −213.758 | + | 1580.88i | −0.223362 | + | 1.65191i | ||||
\(958\) | −230.249 | + | 271.070i | −0.240343 | + | 0.282954i | ||||
\(959\) | −634.264 | + | 336.265i | −0.661380 | + | 0.350642i | ||||
\(960\) | 3507.82 | + | 1284.67i | 3.65397 | + | 1.33820i | ||||
\(961\) | −513.140 | − | 172.897i | −0.533964 | − | 0.179914i | ||||
\(962\) | 476.660 | + | 132.344i | 0.495489 | + | 0.137572i | ||||
\(963\) | −118.450 | + | 731.806i | −0.123001 | + | 0.759923i | ||||
\(964\) | −576.412 | + | 1446.69i | −0.597938 | + | 1.50071i | ||||
\(965\) | 1375.82 | − | 1168.63i | 1.42572 | − | 1.21102i | ||||
\(966\) | 2333.23 | − | 1494.70i | 2.41535 | − | 1.54731i | ||||
\(967\) | −399.428 | − | 1438.61i | −0.413059 | − | 1.48770i | −0.818994 | − | 0.573803i | \(-0.805468\pi\) |
0.405934 | − | 0.913902i | \(-0.366946\pi\) | |||||||
\(968\) | 924.480 | + | 1998.23i | 0.955041 | + | 2.06429i | ||||
\(969\) | 266.886 | − | 298.093i | 0.275424 | − | 0.307629i | ||||
\(970\) | 1483.95 | + | 326.643i | 1.52985 | + | 0.336745i | ||||
\(971\) | −272.694 | + | 589.419i | −0.280839 | + | 0.607023i | −0.995740 | − | 0.0922022i | \(-0.970609\pi\) |
0.714902 | + | 0.699225i | \(0.246471\pi\) | |||||||
\(972\) | −2515.41 | − | 469.455i | −2.58787 | − | 0.482978i | ||||
\(973\) | 603.419 | + | 363.065i | 0.620164 | + | 0.373140i | ||||
\(974\) | −1436.62 | + | 2387.67i | −1.47496 | + | 2.45141i | ||||
\(975\) | −272.002 | + | 135.245i | −0.278977 | + | 0.138712i | ||||
\(976\) | −1701.47 | − | 787.184i | −1.74331 | − | 0.806541i | ||||
\(977\) | 258.474 | − | 1174.26i | 0.264559 | − | 1.20190i | −0.637556 | − | 0.770404i | \(-0.720054\pi\) |
0.902114 | − | 0.431497i | \(-0.142015\pi\) | |||||||
\(978\) | 1689.31 | − | 1886.83i | 1.72731 | − | 1.92928i | ||||
\(979\) | 973.430 | − | 450.357i | 0.994311 | − | 0.460017i | ||||
\(980\) | −1422.56 | + | 394.971i | −1.45159 | + | 0.403032i | ||||
\(981\) | −743.244 | − | 294.390i | −0.757639 | − | 0.300092i | ||||
\(982\) | −103.495 | − | 121.843i | −0.105392 | − | 0.124077i | ||||
\(983\) | 220.595 | + | 87.8930i | 0.224410 | + | 0.0894130i | 0.479633 | − | 0.877469i | \(-0.340770\pi\) |
−0.255223 | + | 0.966882i | \(0.582149\pi\) | |||||||
\(984\) | 1350.63 | − | 1353.37i | 1.37259 | − | 1.37537i | ||||
\(985\) | −714.001 | + | 2571.60i | −0.724874 | + | 2.61076i | ||||
\(986\) | 256.675 | − | 761.785i | 0.260320 | − | 0.772602i | ||||
\(987\) | −985.139 | − | 360.789i | −0.998115 | − | 0.365541i | ||||
\(988\) | −463.986 | − | 875.171i | −0.469622 | − | 0.885801i | ||||
\(989\) | −883.433 | − | 750.395i | −0.893259 | − | 0.758741i | ||||
\(990\) | −1650.98 | − | 3098.87i | −1.66765 | − | 3.13017i | ||||
\(991\) | −182.062 | − | 19.8004i | −0.183715 | − | 0.0199802i | 0.0157989 | − | 0.999875i | \(-0.494971\pi\) |
−0.199514 | + | 0.979895i | \(0.563936\pi\) | |||||||
\(992\) | −3258.36 | − | 2209.23i | −3.28464 | − | 2.22704i | ||||
\(993\) | −1458.06 | − | 446.078i | −1.46834 | − | 0.449222i | ||||
\(994\) | −326.168 | + | 308.963i | −0.328137 | + | 0.310828i | ||||
\(995\) | −2432.04 | + | 131.861i | −2.44426 | + | 0.132524i | ||||
\(996\) | 408.722 | − | 570.232i | 0.410363 | − | 0.572522i | ||||
\(997\) | −1127.46 | − | 857.074i | −1.13085 | − | 0.859653i | −0.139417 | − | 0.990234i | \(-0.544523\pi\) |
−0.991438 | + | 0.130581i | \(0.958316\pi\) | |||||||
\(998\) | −188.750 | − | 1735.53i | −0.189128 | − | 1.73901i | ||||
\(999\) | 160.525 | − | 850.547i | 0.160685 | − | 0.851399i |
(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 | 177.3.h.a.104.1 | yes | 1064 | |
3.2 | odd | 2 | inner | 177.3.h.a.104.38 | yes | 1064 | |
59.21 | even | 29 | inner | 177.3.h.a.80.38 | yes | 1064 | |
177.80 | odd | 58 | inner | 177.3.h.a.80.1 | ✓ | 1064 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.h.a.80.1 | ✓ | 1064 | 177.80 | odd | 58 | inner | |
177.3.h.a.80.38 | yes | 1064 | 59.21 | even | 29 | inner | |
177.3.h.a.104.1 | yes | 1064 | 1.1 | even | 1 | trivial | |
177.3.h.a.104.38 | yes | 1064 | 3.2 | odd | 2 | inner |