Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.31 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.31 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | 0.170539 | + | 1.72363i | 0.0984607 | + | 0.995141i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −2.23454 | − | 0.0827774i | −0.999315 | − | 0.0370192i | ||||
\(6\) | 1.43000 | + | 0.977291i | 0.583795 | + | 0.398977i | ||||
\(7\) | −1.14096 | + | 0.658735i | −0.431244 | + | 0.248979i | −0.699876 | − | 0.714264i | \(-0.746762\pi\) |
0.268633 | + | 0.963243i | \(0.413428\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | −2.94183 | + | 0.587894i | −0.980611 | + | 0.195965i | ||||
\(10\) | −1.49974 | + | 1.65855i | −0.474260 | + | 0.524478i | ||||
\(11\) | −2.83265 | − | 1.63543i | −0.854076 | − | 0.493101i | 0.00794814 | − | 0.999968i | \(-0.497470\pi\) |
−0.862024 | + | 0.506867i | \(0.830803\pi\) | |||||||
\(12\) | 1.66784 | − | 0.467254i | 0.481462 | − | 0.134885i | ||||
\(13\) | 0.592390 | + | 0.215612i | 0.164299 | + | 0.0598001i | 0.422860 | − | 0.906195i | \(-0.361026\pi\) |
−0.258561 | + | 0.965995i | \(0.583248\pi\) | |||||||
\(14\) | −0.228776 | + | 1.29746i | −0.0611431 | + | 0.346760i | ||||
\(15\) | −0.238397 | − | 3.86564i | −0.0615539 | − | 0.998104i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −3.12210 | − | 2.61976i | −0.757221 | − | 0.635384i | 0.180181 | − | 0.983634i | \(-0.442332\pi\) |
−0.937402 | + | 0.348249i | \(0.886776\pi\) | |||||||
\(18\) | −1.44062 | + | 2.63147i | −0.339558 | + | 0.620242i | ||||
\(19\) | −4.29744 | + | 0.729393i | −0.985900 | + | 0.167334i | ||||
\(20\) | 0.306503 | + | 2.21496i | 0.0685362 | + | 0.495281i | ||||
\(21\) | −1.33000 | − | 1.85426i | −0.290229 | − | 0.404634i | ||||
\(22\) | −3.07360 | + | 1.11870i | −0.655295 | + | 0.238508i | ||||
\(23\) | −0.00940327 | − | 0.0533286i | −0.00196072 | − | 0.0111198i | 0.983812 | − | 0.179205i | \(-0.0573526\pi\) |
−0.985772 | + | 0.168086i | \(0.946242\pi\) | |||||||
\(24\) | 0.714126 | − | 1.57798i | 0.145770 | − | 0.322104i | ||||
\(25\) | 4.98630 | + | 0.369938i | 0.997259 | + | 0.0739876i | ||||
\(26\) | 0.545950 | − | 0.315204i | 0.107070 | − | 0.0618166i | ||||
\(27\) | −1.51501 | − | 4.97039i | −0.291564 | − | 0.956551i | ||||
\(28\) | 0.846854 | + | 1.00924i | 0.160040 | + | 0.190729i | ||||
\(29\) | −6.16648 | + | 5.17430i | −1.14509 | + | 0.960842i | −0.999593 | − | 0.0285166i | \(-0.990922\pi\) |
−0.145494 | + | 0.989359i | \(0.546477\pi\) | |||||||
\(30\) | −3.11449 | − | 2.30216i | −0.568626 | − | 0.420315i | ||||
\(31\) | 1.01542 | − | 0.586251i | 0.182374 | − | 0.105294i | −0.406034 | − | 0.913858i | \(-0.633088\pi\) |
0.588408 | + | 0.808564i | \(0.299755\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | 2.33581 | − | 5.16136i | 0.406612 | − | 0.898477i | ||||
\(34\) | −4.01370 | + | 0.707724i | −0.688344 | + | 0.121374i | ||||
\(35\) | 2.60405 | − | 1.37752i | 0.440165 | − | 0.232844i | ||||
\(36\) | 1.08981 | + | 2.79505i | 0.181634 | + | 0.465842i | ||||
\(37\) | 3.17220 | 0.521506 | 0.260753 | − | 0.965405i | \(-0.416029\pi\) | ||||
0.260753 | + | 0.965405i | \(0.416029\pi\) | |||||||
\(38\) | −2.20359 | + | 3.76087i | −0.357470 | + | 0.610094i | ||||
\(39\) | −0.270611 | + | 1.05783i | −0.0433325 | + | 0.169389i | ||||
\(40\) | 1.89378 | + | 1.18895i | 0.299432 | + | 0.187990i | ||||
\(41\) | −4.99046 | + | 1.81638i | −0.779380 | + | 0.283671i | −0.700914 | − | 0.713246i | \(-0.747224\pi\) |
−0.0784657 | + | 0.996917i | \(0.525002\pi\) | |||||||
\(42\) | −2.27535 | − | 0.173060i | −0.351095 | − | 0.0267038i | ||||
\(43\) | 5.75075 | + | 1.01401i | 0.876982 | + | 0.154636i | 0.593976 | − | 0.804483i | \(-0.297557\pi\) |
0.283006 | + | 0.959118i | \(0.408668\pi\) | |||||||
\(44\) | −1.11870 | + | 3.07360i | −0.168650 | + | 0.463363i | ||||
\(45\) | 6.62229 | − | 1.07015i | 0.987193 | − | 0.159529i | ||||
\(46\) | −0.0468964 | − | 0.0270756i | −0.00691450 | − | 0.00399209i | ||||
\(47\) | 2.96369 | − | 2.48683i | 0.432299 | − | 0.362742i | −0.400520 | − | 0.916288i | \(-0.631170\pi\) |
0.832818 | + | 0.553547i | \(0.186726\pi\) | |||||||
\(48\) | −0.749772 | − | 1.56136i | −0.108220 | − | 0.225363i | ||||
\(49\) | −2.63214 | + | 4.55899i | −0.376019 | + | 0.651285i | ||||
\(50\) | 3.48852 | − | 3.58193i | 0.493351 | − | 0.506562i | ||||
\(51\) | 3.98306 | − | 5.82814i | 0.557740 | − | 0.816102i | ||||
\(52\) | 0.109469 | − | 0.620831i | 0.0151807 | − | 0.0860938i | ||||
\(53\) | −5.06479 | + | 0.893059i | −0.695702 | + | 0.122671i | −0.510306 | − | 0.859993i | \(-0.670468\pi\) |
−0.185396 | + | 0.982664i | \(0.559357\pi\) | |||||||
\(54\) | −4.78137 | − | 2.03434i | −0.650662 | − | 0.276838i | ||||
\(55\) | 6.19428 | + | 3.88891i | 0.835236 | + | 0.524380i | ||||
\(56\) | 1.31747 | 0.176054 | ||||||||
\(57\) | −1.99009 | − | 7.28283i | −0.263594 | − | 0.964634i | ||||
\(58\) | 8.04977i | 1.05699i | ||||||||
\(59\) | −4.27319 | − | 3.58563i | −0.556322 | − | 0.466810i | 0.320753 | − | 0.947163i | \(-0.396064\pi\) |
−0.877075 | + | 0.480353i | \(0.840509\pi\) | |||||||
\(60\) | −3.76551 | + | 0.906037i | −0.486126 | + | 0.116969i | ||||
\(61\) | 0.166865 | + | 0.946339i | 0.0213649 | + | 0.121166i | 0.993625 | − | 0.112736i | \(-0.0359615\pi\) |
−0.972260 | + | 0.233902i | \(0.924850\pi\) | |||||||
\(62\) | 0.203603 | − | 1.15469i | 0.0258576 | − | 0.146646i | ||||
\(63\) | 2.96926 | − | 2.60865i | 0.374091 | − | 0.328660i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −1.30587 | − | 0.530830i | −0.161973 | − | 0.0658414i | ||||
\(66\) | −2.45240 | − | 5.10699i | −0.301870 | − | 0.628627i | ||||
\(67\) | −1.52596 | + | 1.28043i | −0.186426 | + | 0.156430i | −0.731224 | − | 0.682137i | \(-0.761051\pi\) |
0.544798 | + | 0.838567i | \(0.316606\pi\) | |||||||
\(68\) | −2.03781 | + | 3.52959i | −0.247121 | + | 0.428025i | ||||
\(69\) | 0.0903154 | − | 0.0253024i | 0.0108727 | − | 0.00304605i | ||||
\(70\) | 0.618609 | − | 2.88027i | 0.0739379 | − | 0.344258i | ||||
\(71\) | 0.158531 | − | 0.899077i | 0.0188142 | − | 0.106701i | −0.973954 | − | 0.226744i | \(-0.927192\pi\) |
0.992769 | + | 0.120043i | \(0.0383032\pi\) | |||||||
\(72\) | 2.84165 | + | 0.961786i | 0.334892 | + | 0.113348i | ||||
\(73\) | 3.00215 | + | 8.24833i | 0.351375 | + | 0.965394i | 0.981929 | + | 0.189249i | \(0.0606053\pi\) |
−0.630554 | + | 0.776145i | \(0.717172\pi\) | |||||||
\(74\) | 2.03905 | − | 2.43005i | 0.237035 | − | 0.282487i | ||||
\(75\) | 0.212720 | + | 8.65764i | 0.0245628 | + | 0.999698i | ||||
\(76\) | 1.46455 | + | 4.10549i | 0.167996 | + | 0.470932i | ||||
\(77\) | 4.30926 | 0.491086 | ||||||||
\(78\) | 0.636403 | + | 0.887263i | 0.0720584 | + | 0.100463i | ||||
\(79\) | −4.62822 | − | 12.7159i | −0.520716 | − | 1.43065i | −0.869726 | − | 0.493535i | \(-0.835704\pi\) |
0.349010 | − | 0.937119i | \(-0.386518\pi\) | |||||||
\(80\) | 2.12809 | − | 0.686471i | 0.237927 | − | 0.0767498i | ||||
\(81\) | 8.30876 | − | 3.45897i | 0.923196 | − | 0.384330i | ||||
\(82\) | −1.81638 | + | 4.99046i | −0.200586 | + | 0.551105i | ||||
\(83\) | 3.82053 | + | 6.61736i | 0.419358 | + | 0.726349i | 0.995875 | − | 0.0907359i | \(-0.0289219\pi\) |
−0.576517 | + | 0.817085i | \(0.695589\pi\) | |||||||
\(84\) | −1.59514 | + | 1.63178i | −0.174044 | + | 0.178042i | ||||
\(85\) | 6.75959 | + | 6.11238i | 0.733181 | + | 0.662980i | ||||
\(86\) | 4.47329 | − | 3.75354i | 0.482368 | − | 0.404754i | ||||
\(87\) | −9.97022 | − | 9.74635i | −1.06892 | − | 1.04492i | ||||
\(88\) | 1.63543 | + | 2.83265i | 0.174338 | + | 0.301961i | ||||
\(89\) | 13.5101 | + | 4.91727i | 1.43207 | + | 0.521230i | 0.937523 | − | 0.347923i | \(-0.113113\pi\) |
0.494543 | + | 0.869153i | \(0.335335\pi\) | |||||||
\(90\) | 3.43694 | − | 5.76085i | 0.362286 | − | 0.607247i | ||||
\(91\) | −0.817927 | + | 0.144223i | −0.0857420 | + | 0.0151186i | ||||
\(92\) | −0.0508856 | + | 0.0185208i | −0.00530519 | + | 0.00193093i | ||||
\(93\) | 1.18365 | + | 1.65023i | 0.122739 | + | 0.171121i | ||||
\(94\) | − | 3.86882i | − | 0.399039i | ||||||
\(95\) | 9.66316 | − | 1.27412i | 0.991419 | − | 0.130722i | ||||
\(96\) | −1.67801 | − | 0.429264i | −0.171262 | − | 0.0438115i | ||||
\(97\) | 11.3663 | + | 9.53743i | 1.15407 | + | 0.968380i | 0.999807 | − | 0.0196500i | \(-0.00625521\pi\) |
0.154263 | + | 0.988030i | \(0.450700\pi\) | |||||||
\(98\) | 1.80049 | + | 4.94680i | 0.181877 | + | 0.499702i | ||||
\(99\) | 9.29464 | + | 3.14587i | 0.934146 | + | 0.316172i | ||||
\(100\) | −0.501543 | − | 4.97478i | −0.0501543 | − | 0.497478i | ||||
\(101\) | −2.22197 | + | 6.10481i | −0.221094 | + | 0.607451i | −0.999801 | − | 0.0199365i | \(-0.993654\pi\) |
0.778707 | + | 0.627388i | \(0.215876\pi\) | |||||||
\(102\) | −1.90435 | − | 6.79746i | −0.188559 | − | 0.673049i | ||||
\(103\) | 2.04733 | − | 3.54608i | 0.201729 | − | 0.349406i | −0.747356 | − | 0.664423i | \(-0.768677\pi\) |
0.949086 | + | 0.315018i | \(0.102010\pi\) | |||||||
\(104\) | −0.405219 | − | 0.482921i | −0.0397350 | − | 0.0473543i | ||||
\(105\) | 2.81844 | + | 4.25351i | 0.275051 | + | 0.415100i | ||||
\(106\) | −2.57146 | + | 4.45390i | −0.249762 | + | 0.432601i | ||||
\(107\) | −7.18638 | + | 4.14906i | −0.694734 | + | 0.401105i | −0.805383 | − | 0.592755i | \(-0.798040\pi\) |
0.110649 | + | 0.993860i | \(0.464707\pi\) | |||||||
\(108\) | −4.63180 | + | 2.35509i | −0.445695 | + | 0.226619i | ||||
\(109\) | −13.8778 | − | 2.44702i | −1.32925 | − | 0.234382i | −0.536484 | − | 0.843911i | \(-0.680248\pi\) |
−0.792764 | + | 0.609528i | \(0.791359\pi\) | |||||||
\(110\) | 6.96068 | − | 2.24535i | 0.663675 | − | 0.214086i | ||||
\(111\) | 0.540984 | + | 5.46771i | 0.0513479 | + | 0.518972i | ||||
\(112\) | 0.846854 | − | 1.00924i | 0.0800202 | − | 0.0953643i | ||||
\(113\) | − | 11.2911i | − | 1.06218i | −0.847316 | − | 0.531089i | \(-0.821783\pi\) | ||
0.847316 | − | 0.531089i | \(-0.178217\pi\) | |||||||
\(114\) | −6.85817 | − | 3.15681i | −0.642327 | − | 0.295663i | ||||
\(115\) | 0.0165975 | + | 0.119943i | 0.00154773 | + | 0.0111847i | ||||
\(116\) | 6.16648 | + | 5.17430i | 0.572544 | + | 0.480421i | ||||
\(117\) | −1.86947 | − | 0.286033i | −0.172833 | − | 0.0264438i | ||||
\(118\) | −5.49351 | + | 0.968654i | −0.505719 | + | 0.0891718i | ||||
\(119\) | 5.28793 | + | 0.932405i | 0.484744 | + | 0.0854734i | ||||
\(120\) | −1.72636 | + | 3.46694i | −0.157595 | + | 0.316487i | ||||
\(121\) | −0.150733 | − | 0.261077i | −0.0137030 | − | 0.0237342i | ||||
\(122\) | 0.832197 | + | 0.480469i | 0.0753435 | + | 0.0434996i | ||||
\(123\) | −3.98184 | − | 8.29197i | −0.359031 | − | 0.747662i | ||||
\(124\) | −0.753669 | − | 0.898188i | −0.0676815 | − | 0.0806597i | ||||
\(125\) | −11.1114 | − | 1.23939i | −0.993837 | − | 0.110855i | ||||
\(126\) | −0.0897439 | − | 3.95139i | −0.00799502 | − | 0.352018i | ||||
\(127\) | −17.3913 | − | 6.32990i | −1.54322 | − | 0.561688i | −0.576409 | − | 0.817162i | \(-0.695546\pi\) |
−0.966816 | + | 0.255474i | \(0.917769\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | −0.767061 | + | 10.0851i | −0.0675359 | + | 0.887946i | ||||
\(130\) | −1.24604 | + | 0.659143i | −0.109285 | + | 0.0578106i | ||||
\(131\) | 7.48641 | − | 8.92196i | 0.654091 | − | 0.779515i | −0.332434 | − | 0.943126i | \(-0.607870\pi\) |
0.986525 | + | 0.163612i | \(0.0523144\pi\) | |||||||
\(132\) | −5.48855 | − | 1.40406i | −0.477717 | − | 0.122208i | ||||
\(133\) | 4.42274 | − | 3.66309i | 0.383500 | − | 0.317630i | ||||
\(134\) | 1.99200i | 0.172082i | ||||||||
\(135\) | 2.97391 | + | 11.2319i | 0.255953 | + | 0.966689i | ||||
\(136\) | 1.39394 | + | 3.82983i | 0.119530 | + | 0.328405i | ||||
\(137\) | 2.91356 | + | 16.5236i | 0.248923 | + | 1.41171i | 0.811204 | + | 0.584764i | \(0.198813\pi\) |
−0.562281 | + | 0.826946i | \(0.690076\pi\) | |||||||
\(138\) | 0.0386709 | − | 0.0854497i | 0.00329188 | − | 0.00727396i | ||||
\(139\) | 4.15155 | + | 1.51104i | 0.352130 | + | 0.128165i | 0.512028 | − | 0.858969i | \(-0.328894\pi\) |
−0.159898 | + | 0.987134i | \(0.551117\pi\) | |||||||
\(140\) | −1.80878 | − | 2.32529i | −0.152870 | − | 0.196522i | ||||
\(141\) | 4.79181 | + | 4.68422i | 0.403543 | + | 0.394482i | ||||
\(142\) | −0.586831 | − | 0.699357i | −0.0492457 | − | 0.0586888i | ||||
\(143\) | −1.32541 | − | 1.57957i | −0.110837 | − | 0.132090i | ||||
\(144\) | 2.56335 | − | 1.55861i | 0.213612 | − | 0.129884i | ||||
\(145\) | 14.2075 | − | 11.0517i | 1.17987 | − | 0.917794i | ||||
\(146\) | 8.24833 | + | 3.00215i | 0.682637 | + | 0.248459i | ||||
\(147\) | −8.30692 | − | 3.75935i | −0.685143 | − | 0.310066i | ||||
\(148\) | −0.550847 | − | 3.12401i | −0.0452793 | − | 0.256792i | ||||
\(149\) | −5.37465 | − | 14.7667i | −0.440309 | − | 1.20974i | −0.939290 | − | 0.343125i | \(-0.888515\pi\) |
0.498981 | − | 0.866613i | \(-0.333708\pi\) | |||||||
\(150\) | 6.76887 | + | 5.40207i | 0.552676 | + | 0.441077i | ||||
\(151\) | 7.40959i | 0.602984i | 0.953469 | + | 0.301492i | \(0.0974846\pi\) | ||||
−0.953469 | + | 0.301492i | \(0.902515\pi\) | |||||||
\(152\) | 4.08639 | + | 1.51705i | 0.331450 | + | 0.123049i | ||||
\(153\) | 10.7248 | + | 5.87142i | 0.867052 | + | 0.474676i | ||||
\(154\) | 2.76994 | − | 3.30109i | 0.223208 | − | 0.266009i | ||||
\(155\) | −2.31751 | + | 1.22594i | −0.186147 | + | 0.0984702i | ||||
\(156\) | 1.08875 | + | 0.0828092i | 0.0871702 | + | 0.00663004i | ||||
\(157\) | 15.9632 | + | 2.81474i | 1.27400 | + | 0.224641i | 0.769431 | − | 0.638730i | \(-0.220540\pi\) |
0.504570 | + | 0.863371i | \(0.331651\pi\) | |||||||
\(158\) | −12.7159 | − | 4.62822i | −1.01163 | − | 0.368201i | ||||
\(159\) | −2.40305 | − | 8.57754i | −0.190574 | − | 0.680244i | ||||
\(160\) | 0.842041 | − | 2.07146i | 0.0665692 | − | 0.163764i | ||||
\(161\) | 0.0458582 | + | 0.0546517i | 0.00361413 | + | 0.00430716i | ||||
\(162\) | 2.69104 | − | 8.58826i | 0.211428 | − | 0.674758i | ||||
\(163\) | −20.4834 | − | 11.8261i | −1.60438 | − | 0.926289i | −0.990597 | − | 0.136815i | \(-0.956314\pi\) |
−0.613783 | − | 0.789475i | \(-0.710353\pi\) | |||||||
\(164\) | 2.65537 | + | 4.59924i | 0.207350 | + | 0.359140i | ||||
\(165\) | −5.64669 | + | 11.3399i | −0.439594 | + | 0.882809i | ||||
\(166\) | 7.52498 | + | 1.32686i | 0.584052 | + | 0.102984i | ||||
\(167\) | −11.4396 | + | 2.01710i | −0.885220 | + | 0.156088i | −0.597732 | − | 0.801696i | \(-0.703931\pi\) |
−0.287488 | + | 0.957784i | \(0.592820\pi\) | |||||||
\(168\) | 0.224680 | + | 2.27084i | 0.0173344 | + | 0.175199i | ||||
\(169\) | −9.65414 | − | 8.10079i | −0.742626 | − | 0.623137i | ||||
\(170\) | 9.02734 | − | 1.24919i | 0.692365 | − | 0.0958085i | ||||
\(171\) | 12.2135 | − | 4.67219i | 0.933993 | − | 0.357291i | ||||
\(172\) | − | 5.83947i | − | 0.445255i | ||||||
\(173\) | 16.6982 | − | 19.9001i | 1.26954 | − | 1.51298i | 0.514146 | − | 0.857703i | \(-0.328109\pi\) |
0.755392 | − | 0.655273i | \(-0.227447\pi\) | |||||||
\(174\) | −13.8749 | + | 1.37280i | −1.05185 | + | 0.104072i | ||||
\(175\) | −5.93287 | + | 2.86256i | −0.448483 | + | 0.216390i | ||||
\(176\) | 3.22117 | + | 0.567979i | 0.242805 | + | 0.0428130i | ||||
\(177\) | 5.45158 | − | 7.97691i | 0.409766 | − | 0.599581i | ||||
\(178\) | 12.4510 | − | 7.18857i | 0.933239 | − | 0.538806i | ||||
\(179\) | −2.64887 | + | 4.58797i | −0.197986 | + | 0.342921i | −0.947875 | − | 0.318642i | \(-0.896773\pi\) |
0.749890 | + | 0.661563i | \(0.230107\pi\) | |||||||
\(180\) | −2.20384 | − | 6.33586i | −0.164265 | − | 0.472247i | ||||
\(181\) | 2.09597 | + | 2.49788i | 0.155793 | + | 0.185666i | 0.838295 | − | 0.545217i | \(-0.183553\pi\) |
−0.682502 | + | 0.730883i | \(0.739108\pi\) | |||||||
\(182\) | −0.415272 | + | 0.719273i | −0.0307820 | + | 0.0533161i | ||||
\(183\) | −1.60269 | + | 0.449002i | −0.118474 | + | 0.0331912i | ||||
\(184\) | −0.0185208 | + | 0.0508856i | −0.00136537 | + | 0.00375133i | ||||
\(185\) | −7.08839 | − | 0.262586i | −0.521149 | − | 0.0193057i | ||||
\(186\) | 2.02498 | + | 0.154017i | 0.148479 | + | 0.0112931i | ||||
\(187\) | 4.55940 | + | 12.5268i | 0.333416 | + | 0.916053i | ||||
\(188\) | −2.96369 | − | 2.48683i | −0.216149 | − | 0.181371i | ||||
\(189\) | 5.00274 | + | 4.67304i | 0.363896 | + | 0.339913i | ||||
\(190\) | 5.23532 | − | 8.22140i | 0.379810 | − | 0.596443i | ||||
\(191\) | − | 23.4487i | − | 1.69669i | −0.529443 | − | 0.848346i | \(-0.677599\pi\) | ||
0.529443 | − | 0.848346i | \(-0.322401\pi\) | |||||||
\(192\) | −1.40744 | + | 1.00951i | −0.101573 | + | 0.0728550i | ||||
\(193\) | −16.4500 | + | 5.98730i | −1.18409 | + | 0.430975i | −0.857647 | − | 0.514240i | \(-0.828074\pi\) |
−0.326448 | + | 0.945215i | \(0.605852\pi\) | |||||||
\(194\) | 14.6122 | − | 2.57652i | 1.04909 | − | 0.184984i | ||||
\(195\) | 0.692256 | − | 2.34137i | 0.0495735 | − | 0.167669i | ||||
\(196\) | 4.94680 | + | 1.80049i | 0.353343 | + | 0.128606i | ||||
\(197\) | 3.37708 | + | 5.84927i | 0.240607 | + | 0.416743i | 0.960887 | − | 0.276940i | \(-0.0893202\pi\) |
−0.720280 | + | 0.693683i | \(0.755987\pi\) | |||||||
\(198\) | 8.38435 | − | 5.09798i | 0.595850 | − | 0.362298i | ||||
\(199\) | −2.03109 | + | 1.70429i | −0.143980 | + | 0.120814i | −0.711933 | − | 0.702247i | \(-0.752180\pi\) |
0.567953 | + | 0.823061i | \(0.307736\pi\) | |||||||
\(200\) | −4.13329 | − | 2.81352i | −0.292268 | − | 0.198946i | ||||
\(201\) | −2.46723 | − | 2.41183i | −0.174025 | − | 0.170118i | ||||
\(202\) | 3.24830 | + | 5.62622i | 0.228550 | + | 0.395860i | ||||
\(203\) | 3.62724 | − | 9.96576i | 0.254582 | − | 0.699459i | ||||
\(204\) | −6.43125 | − | 2.91051i | −0.450277 | − | 0.203776i | ||||
\(205\) | 11.3017 | − | 3.64567i | 0.789347 | − | 0.254625i | ||||
\(206\) | −1.40046 | − | 3.84772i | −0.0975744 | − | 0.268084i | ||||
\(207\) | 0.0590144 | + | 0.151356i | 0.00410178 | + | 0.0105200i | ||||
\(208\) | −0.630409 | −0.0437110 | ||||||||
\(209\) | 13.3660 | + | 4.96205i | 0.924546 | + | 0.343232i | ||||
\(210\) | 5.07003 | + | 0.575057i | 0.349866 | + | 0.0396827i | ||||
\(211\) | −9.74000 | + | 11.6077i | −0.670529 | + | 0.799105i | −0.988856 | − | 0.148876i | \(-0.952435\pi\) |
0.318327 | + | 0.947981i | \(0.396879\pi\) | |||||||
\(212\) | 1.75898 | + | 4.83277i | 0.120807 | + | 0.331916i | ||||
\(213\) | 1.57672 | + | 0.119923i | 0.108035 | + | 0.00821697i | ||||
\(214\) | −1.44095 | + | 8.17205i | −0.0985015 | + | 0.558630i | ||||
\(215\) | −12.7663 | − | 2.74188i | −0.870656 | − | 0.186995i | ||||
\(216\) | −1.17316 | + | 5.06199i | −0.0798231 | + | 0.344425i | ||||
\(217\) | −0.772368 | + | 1.33778i | −0.0524318 | + | 0.0908145i | ||||
\(218\) | −10.7950 | + | 9.05806i | −0.731128 | + | 0.613489i | ||||
\(219\) | −13.7051 | + | 6.58127i | −0.926107 | + | 0.444721i | ||||
\(220\) | 2.75420 | − | 6.77547i | 0.185688 | − | 0.456802i | ||||
\(221\) | −1.28465 | − | 2.22508i | −0.0864150 | − | 0.149675i | ||||
\(222\) | 4.53625 | + | 3.10016i | 0.304453 | + | 0.208069i | ||||
\(223\) | 1.19464 | − | 6.77514i | 0.0799990 | − | 0.453697i | −0.918325 | − | 0.395827i | \(-0.870458\pi\) |
0.998324 | − | 0.0578700i | \(-0.0184309\pi\) | |||||||
\(224\) | −0.228776 | − | 1.29746i | −0.0152858 | − | 0.0866899i | ||||
\(225\) | −14.8863 | + | 1.84312i | −0.992422 | + | 0.122874i | ||||
\(226\) | −8.64949 | − | 7.25778i | −0.575355 | − | 0.482780i | ||||
\(227\) | 8.29036i | 0.550250i | 0.961408 | + | 0.275125i | \(0.0887193\pi\) | ||||
−0.961408 | + | 0.275125i | \(0.911281\pi\) | |||||||
\(228\) | −6.82661 | + | 3.22450i | −0.452103 | + | 0.213548i | ||||
\(229\) | −22.7873 | −1.50583 | −0.752913 | − | 0.658120i | \(-0.771352\pi\) | ||||
−0.752913 | + | 0.658120i | \(0.771352\pi\) | |||||||
\(230\) | 0.102550 | + | 0.0643834i | 0.00676197 | + | 0.00424532i | ||||
\(231\) | 0.734897 | + | 7.42760i | 0.0483527 | + | 0.488700i | ||||
\(232\) | 7.92748 | − | 1.39783i | 0.520465 | − | 0.0917719i | ||||
\(233\) | 2.79926 | − | 15.8754i | 0.183386 | − | 1.04003i | −0.744627 | − | 0.667481i | \(-0.767372\pi\) |
0.928012 | − | 0.372550i | \(-0.121517\pi\) | |||||||
\(234\) | −1.42079 | + | 1.24824i | −0.0928797 | + | 0.0815999i | ||||
\(235\) | −6.82832 | + | 5.31158i | −0.445431 | + | 0.346490i | ||||
\(236\) | −2.78913 | + | 4.83091i | −0.181557 | + | 0.314466i | ||||
\(237\) | 21.1283 | − | 10.1459i | 1.37243 | − | 0.659049i | ||||
\(238\) | 4.11328 | − | 3.45145i | 0.266624 | − | 0.223724i | ||||
\(239\) | −16.3377 | − | 9.43255i | −1.05680 | − | 0.610141i | −0.132251 | − | 0.991216i | \(-0.542221\pi\) |
−0.924544 | + | 0.381075i | \(0.875554\pi\) | |||||||
\(240\) | 1.54615 | + | 3.55098i | 0.0998033 | + | 0.229215i | ||||
\(241\) | 1.23767 | − | 3.40046i | 0.0797251 | − | 0.219043i | −0.893426 | − | 0.449211i | \(-0.851705\pi\) |
0.973151 | + | 0.230168i | \(0.0739275\pi\) | |||||||
\(242\) | −0.296885 | − | 0.0523489i | −0.0190845 | − | 0.00336511i | ||||
\(243\) | 7.37897 | + | 13.7314i | 0.473361 | + | 0.880869i | ||||
\(244\) | 0.902986 | − | 0.328660i | 0.0578078 | − | 0.0210403i | ||||
\(245\) | 6.25898 | − | 9.96935i | 0.399872 | − | 0.636918i | ||||
\(246\) | −8.91150 | − | 2.27971i | −0.568177 | − | 0.145349i | ||||
\(247\) | −2.70303 | − | 0.494496i | −0.171990 | − | 0.0314640i | ||||
\(248\) | −1.17250 | −0.0744539 | ||||||||
\(249\) | −10.7544 | + | 7.71372i | −0.681529 | + | 0.488837i | ||||
\(250\) | −8.09172 | + | 7.71518i | −0.511765 | + | 0.487951i | ||||
\(251\) | −13.9249 | + | 2.45534i | −0.878933 | + | 0.154980i | −0.594866 | − | 0.803825i | \(-0.702795\pi\) |
−0.284067 | + | 0.958804i | \(0.591684\pi\) | |||||||
\(252\) | −3.08463 | − | 2.47116i | −0.194313 | − | 0.155668i | ||||
\(253\) | −0.0605791 | + | 0.166440i | −0.00380857 | + | 0.0104640i | ||||
\(254\) | −16.0279 | + | 9.25370i | −1.00568 | + | 0.580628i | ||||
\(255\) | −9.38273 | + | 12.6935i | −0.587569 | + | 0.794896i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 19.9040 | + | 23.7206i | 1.24157 | + | 1.47965i | 0.819489 | + | 0.573095i | \(0.194258\pi\) |
0.422086 | + | 0.906556i | \(0.361298\pi\) | |||||||
\(258\) | 7.23260 | + | 7.07020i | 0.450282 | + | 0.440171i | ||||
\(259\) | −3.61936 | + | 2.08964i | −0.224896 | + | 0.129844i | ||||
\(260\) | −0.296004 | + | 1.37821i | −0.0183574 | + | 0.0854728i | ||||
\(261\) | 15.0988 | − | 18.8471i | 0.934594 | − | 1.16661i | ||||
\(262\) | −2.02244 | − | 11.4698i | −0.124947 | − | 0.708609i | ||||
\(263\) | 16.5949 | − | 6.04005i | 1.02329 | − | 0.372446i | 0.224765 | − | 0.974413i | \(-0.427838\pi\) |
0.798521 | + | 0.601967i | \(0.205616\pi\) | |||||||
\(264\) | −4.60355 | + | 3.30196i | −0.283329 | + | 0.203222i | ||||
\(265\) | 11.3914 | − | 1.57632i | 0.699767 | − | 0.0968327i | ||||
\(266\) | 0.0367974 | − | 5.74260i | 0.00225619 | − | 0.352102i | ||||
\(267\) | −6.17158 | + | 24.1250i | −0.377695 | + | 1.47643i | ||||
\(268\) | 1.52596 | + | 1.28043i | 0.0932128 | + | 0.0782148i | ||||
\(269\) | −29.3992 | + | 10.7004i | −1.79250 | + | 0.652417i | −0.793461 | + | 0.608621i | \(0.791723\pi\) |
−0.999040 | + | 0.0437959i | \(0.986055\pi\) | |||||||
\(270\) | 10.5157 | + | 4.94159i | 0.639967 | + | 0.300735i | ||||
\(271\) | 0.724087 | − | 4.10650i | 0.0439851 | − | 0.249452i | −0.954885 | − | 0.296976i | \(-0.904022\pi\) |
0.998870 | + | 0.0475238i | \(0.0151330\pi\) | |||||||
\(272\) | 3.82983 | + | 1.39394i | 0.232217 | + | 0.0845202i | ||||
\(273\) | −0.388075 | − | 1.38521i | −0.0234874 | − | 0.0838368i | ||||
\(274\) | 14.5306 | + | 8.38927i | 0.877828 | + | 0.506814i | ||||
\(275\) | −13.5194 | − | 9.20265i | −0.815252 | − | 0.554940i | ||||
\(276\) | −0.0406011 | − | 0.0845496i | −0.00244390 | − | 0.00508929i | ||||
\(277\) | −9.19741 | − | 5.31013i | −0.552619 | − | 0.319055i | 0.197559 | − | 0.980291i | \(-0.436699\pi\) |
−0.750178 | + | 0.661236i | \(0.770032\pi\) | |||||||
\(278\) | 3.82609 | − | 2.20900i | 0.229474 | − | 0.132487i | ||||
\(279\) | −2.64253 | + | 2.32161i | −0.158204 | + | 0.138991i | ||||
\(280\) | −2.94394 | − | 0.109057i | −0.175934 | − | 0.00651739i | ||||
\(281\) | 4.86020 | + | 27.5636i | 0.289935 | + | 1.64430i | 0.687104 | + | 0.726559i | \(0.258882\pi\) |
−0.397169 | + | 0.917746i | \(0.630007\pi\) | |||||||
\(282\) | 6.66844 | − | 0.659785i | 0.397100 | − | 0.0392896i | ||||
\(283\) | −12.2842 | + | 14.6397i | −0.730220 | + | 0.870242i | −0.995581 | − | 0.0939069i | \(-0.970064\pi\) |
0.265361 | + | 0.964149i | \(0.414509\pi\) | |||||||
\(284\) | −0.912946 | −0.0541734 | ||||||||
\(285\) | 3.84407 | + | 16.4385i | 0.227703 | + | 0.973731i | ||||
\(286\) | −2.06198 | −0.121927 | ||||||||
\(287\) | 4.49742 | − | 5.35982i | 0.265474 | − | 0.316380i | ||||
\(288\) | 0.453727 | − | 2.96549i | 0.0267361 | − | 0.174743i | ||||
\(289\) | −0.0676089 | − | 0.383429i | −0.00397699 | − | 0.0225547i | ||||
\(290\) | 0.666339 | − | 17.9875i | 0.0391288 | − | 1.05626i | ||||
\(291\) | −14.5007 | + | 21.2178i | −0.850044 | + | 1.24381i | ||||
\(292\) | 7.60170 | − | 4.38885i | 0.444856 | − | 0.256838i | ||||
\(293\) | −10.7733 | − | 6.21996i | −0.629382 | − | 0.363374i | 0.151131 | − | 0.988514i | \(-0.451708\pi\) |
−0.780513 | + | 0.625140i | \(0.785042\pi\) | |||||||
\(294\) | −8.21942 | + | 3.94700i | −0.479366 | + | 0.230194i | ||||
\(295\) | 9.25179 | + | 8.36595i | 0.538660 | + | 0.487084i | ||||
\(296\) | −2.74721 | − | 1.58610i | −0.159678 | − | 0.0921902i | ||||
\(297\) | −3.83723 | + | 16.5571i | −0.222659 | + | 0.960738i | ||||
\(298\) | −14.7667 | − | 5.37465i | −0.855414 | − | 0.311345i | ||||
\(299\) | 0.00592790 | − | 0.0336188i | 0.000342819 | − | 0.00194423i | ||||
\(300\) | 8.48917 | − | 1.71287i | 0.490123 | − | 0.0988927i | ||||
\(301\) | −7.22936 | + | 2.63127i | −0.416694 | + | 0.151664i | ||||
\(302\) | 5.67607 | + | 4.76279i | 0.326621 | + | 0.274068i | ||||
\(303\) | −10.9014 | − | 2.78875i | −0.626269 | − | 0.160210i | ||||
\(304\) | 3.78880 | − | 2.15522i | 0.217303 | − | 0.123610i | ||||
\(305\) | −0.294531 | − | 2.12844i | −0.0168648 | − | 0.121874i | ||||
\(306\) | 11.3916 | − | 4.44163i | 0.651213 | − | 0.253911i | ||||
\(307\) | −14.8749 | + | 5.41403i | −0.848956 | + | 0.308995i | −0.729615 | − | 0.683858i | \(-0.760301\pi\) |
−0.119342 | + | 0.992853i | \(0.538078\pi\) | |||||||
\(308\) | −0.748296 | − | 4.24380i | −0.0426381 | − | 0.241813i | ||||
\(309\) | 6.46130 | + | 2.92411i | 0.367570 | + | 0.166347i | ||||
\(310\) | −0.550539 | + | 2.56334i | −0.0312685 | + | 0.145588i | ||||
\(311\) | −20.2113 | + | 11.6690i | −1.14608 | + | 0.661687i | −0.947928 | − | 0.318485i | \(-0.896826\pi\) |
−0.198148 | + | 0.980172i | \(0.563493\pi\) | |||||||
\(312\) | 0.763274 | − | 0.780806i | 0.0432119 | − | 0.0442044i | ||||
\(313\) | 19.2354 | + | 22.9239i | 1.08725 | + | 1.29573i | 0.952394 | + | 0.304870i | \(0.0986129\pi\) |
0.134856 | + | 0.990865i | \(0.456943\pi\) | |||||||
\(314\) | 12.4171 | − | 10.4192i | 0.700740 | − | 0.587991i | ||||
\(315\) | −6.85085 | + | 5.58334i | −0.386001 | + | 0.314586i | ||||
\(316\) | −11.7191 | + | 6.76601i | −0.659249 | + | 0.380618i | ||||
\(317\) | −5.66010 | + | 15.5510i | −0.317903 | + | 0.873431i | 0.673095 | + | 0.739556i | \(0.264964\pi\) |
−0.990998 | + | 0.133875i | \(0.957258\pi\) | |||||||
\(318\) | −8.11543 | − | 3.67270i | −0.455091 | − | 0.205955i | ||||
\(319\) | 25.9297 | − | 4.57210i | 1.45178 | − | 0.255989i | ||||
\(320\) | −1.04558 | − | 1.97655i | −0.0584497 | − | 0.110493i | ||||
\(321\) | −8.37702 | − | 11.6791i | −0.467560 | − | 0.651865i | ||||
\(322\) | 0.0713427 | 0.00397578 | ||||||||
\(323\) | 15.3279 | + | 8.98100i | 0.852866 | + | 0.499716i | ||||
\(324\) | −4.84922 | − | 7.58189i | −0.269401 | − | 0.421216i | ||||
\(325\) | 2.87407 | + | 1.29425i | 0.159425 | + | 0.0717923i | ||||
\(326\) | −22.2257 | + | 8.08951i | −1.23097 | + | 0.448036i | ||||
\(327\) | 1.85108 | − | 24.3375i | 0.102365 | − | 1.34587i | ||||
\(328\) | 5.23006 | + | 0.922201i | 0.288782 | + | 0.0509200i | ||||
\(329\) | −1.74330 | + | 4.78967i | −0.0961111 | + | 0.264063i | ||||
\(330\) | 5.05723 | + | 11.6148i | 0.278391 | + | 0.639371i | ||||
\(331\) | 0.513552 | + | 0.296500i | 0.0282274 | + | 0.0162971i | 0.514047 | − | 0.857762i | \(-0.328146\pi\) |
−0.485820 | + | 0.874059i | \(0.661479\pi\) | |||||||
\(332\) | 5.85339 | − | 4.91158i | 0.321247 | − | 0.269558i | ||||
\(333\) | −9.33208 | + | 1.86492i | −0.511395 | + | 0.102197i | ||||
\(334\) | −5.80802 | + | 10.0598i | −0.317801 | + | 0.550447i | ||||
\(335\) | 3.51580 | − | 2.73486i | 0.192089 | − | 0.149421i | ||||
\(336\) | 1.88398 | + | 1.28755i | 0.102780 | + | 0.0702417i | ||||
\(337\) | 1.33738 | − | 7.58464i | 0.0728516 | − | 0.413162i | −0.926471 | − | 0.376366i | \(-0.877174\pi\) |
0.999323 | − | 0.0367962i | \(-0.0117152\pi\) | |||||||
\(338\) | −12.4111 | + | 2.18842i | −0.675076 | + | 0.119034i | ||||
\(339\) | 19.4617 | − | 1.92557i | 1.05702 | − | 0.104583i | ||||
\(340\) | 4.84573 | − | 7.71830i | 0.262796 | − | 0.418584i | ||||
\(341\) | −3.83509 | −0.207682 | ||||||||
\(342\) | 4.27161 | − | 12.3593i | 0.230982 | − | 0.668317i | ||||
\(343\) | − | 16.1578i | − | 0.872440i | ||||||
\(344\) | −4.47329 | − | 3.75354i | −0.241184 | − | 0.202377i | ||||
\(345\) | −0.203907 | + | 0.0490631i | −0.0109780 | + | 0.00264147i | ||||
\(346\) | −4.51098 | − | 25.5831i | −0.242512 | − | 1.37535i | ||||
\(347\) | −6.36972 | + | 36.1245i | −0.341945 | + | 1.93926i | 0.00124829 | + | 0.999999i | \(0.499603\pi\) |
−0.343193 | + | 0.939265i | \(0.611508\pi\) | |||||||
\(348\) | −7.86697 | + | 11.5112i | −0.421714 | + | 0.617064i | ||||
\(349\) | 8.87535 | + | 15.3725i | 0.475086 | + | 0.822874i | 0.999593 | − | 0.0285327i | \(-0.00908348\pi\) |
−0.524506 | + | 0.851406i | \(0.675750\pi\) | |||||||
\(350\) | −1.62072 | + | 6.38486i | −0.0866314 | + | 0.341285i | ||||
\(351\) | 0.174199 | − | 3.27106i | 0.00929807 | − | 0.174596i | ||||
\(352\) | 2.50563 | − | 2.10247i | 0.133550 | − | 0.112062i | ||||
\(353\) | −4.23405 | + | 7.33360i | −0.225356 | + | 0.390328i | −0.956426 | − | 0.291974i | \(-0.905688\pi\) |
0.731070 | + | 0.682302i | \(0.239021\pi\) | |||||||
\(354\) | −2.60646 | − | 9.30361i | −0.138532 | − | 0.494481i | ||||
\(355\) | −0.428667 | + | 1.99590i | −0.0227513 | + | 0.105931i | ||||
\(356\) | 2.49656 | − | 14.1587i | 0.132318 | − | 0.750410i | ||||
\(357\) | −0.705327 | + | 9.27347i | −0.0373299 | + | 0.490804i | ||||
\(358\) | 1.81193 | + | 4.97824i | 0.0957636 | + | 0.263108i | ||||
\(359\) | 0.861523 | − | 1.02672i | 0.0454695 | − | 0.0541884i | −0.742830 | − | 0.669480i | \(-0.766517\pi\) |
0.788300 | + | 0.615291i | \(0.210962\pi\) | |||||||
\(360\) | −6.27015 | − | 2.38437i | −0.330466 | − | 0.125667i | ||||
\(361\) | 17.9360 | − | 6.26905i | 0.943998 | − | 0.329950i | ||||
\(362\) | 3.26076 | 0.171382 | ||||||||
\(363\) | 0.424295 | − | 0.304332i | 0.0222697 | − | 0.0159733i | ||||
\(364\) | 0.284063 | + | 0.780457i | 0.0148890 | + | 0.0409071i | ||||
\(365\) | −6.02563 | − | 18.6797i | −0.315396 | − | 0.977740i | ||||
\(366\) | −0.686231 | + | 1.51634i | −0.0358699 | + | 0.0792605i | ||||
\(367\) | 11.2419 | − | 30.8868i | 0.586821 | − | 1.61228i | −0.189457 | − | 0.981889i | \(-0.560673\pi\) |
0.776279 | − | 0.630390i | \(-0.217105\pi\) | |||||||
\(368\) | 0.0270756 | + | 0.0468964i | 0.00141142 | + | 0.00244464i | ||||
\(369\) | 13.6133 | − | 8.27735i | 0.708679 | − | 0.430902i | ||||
\(370\) | −4.75748 | + | 5.26124i | −0.247330 | + | 0.273519i | ||||
\(371\) | 5.19045 | − | 4.35530i | 0.269475 | − | 0.226116i | ||||
\(372\) | 1.41962 | − | 1.45223i | 0.0736038 | − | 0.0752944i | ||||
\(373\) | −12.9116 | − | 22.3635i | −0.668537 | − | 1.15794i | −0.978313 | − | 0.207130i | \(-0.933588\pi\) |
0.309777 | − | 0.950809i | \(-0.399746\pi\) | |||||||
\(374\) | 12.5268 | + | 4.55940i | 0.647747 | + | 0.235761i | ||||
\(375\) | 0.241327 | − | 19.3634i | 0.0124621 | − | 0.999922i | ||||
\(376\) | −3.81005 | + | 0.671814i | −0.196488 | + | 0.0346462i | ||||
\(377\) | −4.76861 | + | 1.73563i | −0.245596 | + | 0.0893896i | ||||
\(378\) | 6.79545 | − | 0.828552i | 0.349520 | − | 0.0426161i | ||||
\(379\) | − | 20.5880i | − | 1.05754i | −0.848766 | − | 0.528768i | \(-0.822654\pi\) | ||
0.848766 | − | 0.528768i | \(-0.177346\pi\) | |||||||
\(380\) | −2.93276 | − | 9.29510i | −0.150447 | − | 0.476829i | ||||
\(381\) | 7.94455 | − | 31.0557i | 0.407012 | − | 1.59103i | ||||
\(382\) | −17.9628 | − | 15.0726i | −0.919055 | − | 0.771179i | ||||
\(383\) | −3.33320 | − | 9.15789i | −0.170319 | − | 0.467946i | 0.824939 | − | 0.565222i | \(-0.191209\pi\) |
−0.995257 | + | 0.0972755i | \(0.968987\pi\) | |||||||
\(384\) | −0.131358 | + | 1.72706i | −0.00670333 | + | 0.0881338i | ||||
\(385\) | −9.62920 | − | 0.356710i | −0.490750 | − | 0.0181796i | ||||
\(386\) | −5.98730 | + | 16.4500i | −0.304746 | + | 0.837282i | ||||
\(387\) | −17.5139 | + | 0.397775i | −0.890281 | + | 0.0202200i | ||||
\(388\) | 7.41881 | − | 12.8498i | 0.376633 | − | 0.652347i | ||||
\(389\) | 0.902396 | + | 1.07543i | 0.0457533 | + | 0.0545267i | 0.788436 | − | 0.615117i | \(-0.210891\pi\) |
−0.742682 | + | 0.669644i | \(0.766447\pi\) | |||||||
\(390\) | −1.34862 | − | 2.03530i | −0.0682900 | − | 0.103061i | ||||
\(391\) | −0.110350 | + | 0.191132i | −0.00558064 | + | 0.00966595i | ||||
\(392\) | 4.55899 | − | 2.63214i | 0.230264 | − | 0.132943i | ||||
\(393\) | 16.6549 | + | 11.3823i | 0.840129 | + | 0.574161i | ||||
\(394\) | 6.65155 | + | 1.17285i | 0.335100 | + | 0.0590872i | ||||
\(395\) | 9.28933 | + | 28.7973i | 0.467397 | + | 1.44895i | ||||
\(396\) | 1.48408 | − | 9.69971i | 0.0745777 | − | 0.487429i | ||||
\(397\) | −6.70500 | + | 7.99071i | −0.336514 | + | 0.401042i | −0.907592 | − | 0.419854i | \(-0.862081\pi\) |
0.571077 | + | 0.820896i | \(0.306526\pi\) | |||||||
\(398\) | 2.65140i | 0.132903i | ||||||||
\(399\) | 7.06807 | + | 6.99849i | 0.353846 | + | 0.350363i | ||||
\(400\) | −4.81211 | + | 1.35779i | −0.240606 | + | 0.0678893i | ||||
\(401\) | −6.84360 | − | 5.74246i | −0.341753 | − | 0.286765i | 0.455715 | − | 0.890126i | \(-0.349383\pi\) |
−0.797468 | + | 0.603361i | \(0.793828\pi\) | |||||||
\(402\) | −3.43348 | + | 0.339713i | −0.171246 | + | 0.0169434i | ||||
\(403\) | 0.727925 | − | 0.128353i | 0.0362605 | − | 0.00639371i | ||||
\(404\) | 6.39790 | + | 1.12812i | 0.318308 | + | 0.0561262i | ||||
\(405\) | −18.8525 | + | 7.04141i | −0.936791 | + | 0.349891i | ||||
\(406\) | −5.30267 | − | 9.18450i | −0.263167 | − | 0.455819i | ||||
\(407\) | −8.98573 | − | 5.18791i | −0.445406 | − | 0.257155i | ||||
\(408\) | −6.36350 | + | 3.05578i | −0.315040 | + | 0.151284i | ||||
\(409\) | −6.69145 | − | 7.97456i | −0.330871 | − | 0.394316i | 0.574803 | − | 0.818292i | \(-0.305079\pi\) |
−0.905674 | + | 0.423975i | \(0.860634\pi\) | |||||||
\(410\) | 4.47186 | − | 11.0010i | 0.220850 | − | 0.543301i | ||||
\(411\) | −27.9838 | + | 7.83984i | −1.38034 | + | 0.386711i | ||||
\(412\) | −3.84772 | − | 1.40046i | −0.189564 | − | 0.0689955i | ||||
\(413\) | 7.23754 | + | 1.27617i | 0.356136 | + | 0.0627964i | ||||
\(414\) | 0.153879 | + | 0.0520819i | 0.00756274 | + | 0.00255969i | ||||
\(415\) | −7.98935 | − | 15.1030i | −0.392182 | − | 0.741376i | ||||
\(416\) | −0.405219 | + | 0.482921i | −0.0198675 | + | 0.0236771i | ||||
\(417\) | −1.89648 | + | 7.41345i | −0.0928712 | + | 0.363038i | ||||
\(418\) | 12.3927 | − | 7.04941i | 0.606145 | − | 0.344798i | ||||
\(419\) | − | 32.7258i | − | 1.59876i | −0.600825 | − | 0.799381i | \(-0.705161\pi\) | ||
0.600825 | − | 0.799381i | \(-0.294839\pi\) | |||||||
\(420\) | 3.69947 | − | 3.51423i | 0.180516 | − | 0.171477i | ||||
\(421\) | 11.0652 | + | 30.4013i | 0.539283 | + | 1.48167i | 0.847730 | + | 0.530428i | \(0.177969\pi\) |
−0.308447 | + | 0.951242i | \(0.599809\pi\) | |||||||
\(422\) | 2.63125 | + | 14.9225i | 0.128087 | + | 0.726418i | ||||
\(423\) | −7.25669 | + | 9.05818i | −0.352832 | + | 0.440424i | ||||
\(424\) | 4.83277 | + | 1.75898i | 0.234700 | + | 0.0854238i | ||||
\(425\) | −14.5986 | − | 14.2179i | −0.708135 | − | 0.689668i | ||||
\(426\) | 1.10536 | − | 1.13075i | 0.0535548 | − | 0.0547850i | ||||
\(427\) | −0.813774 | − | 0.969818i | −0.0393813 | − | 0.0469328i | ||||
\(428\) | 5.33393 | + | 6.35673i | 0.257825 | + | 0.307264i | ||||
\(429\) | 2.49656 | − | 2.55391i | 0.120535 | − | 0.123304i | ||||
\(430\) | −10.3064 | + | 8.01713i | −0.497021 | + | 0.386620i | ||||
\(431\) | 24.1273 | + | 8.78162i | 1.16217 | + | 0.422996i | 0.849873 | − | 0.526988i | \(-0.176679\pi\) |
0.312299 | + | 0.949984i | \(0.398901\pi\) | |||||||
\(432\) | 3.12362 | + | 4.15247i | 0.150285 | + | 0.199786i | ||||
\(433\) | −5.21716 | − | 29.5880i | −0.250721 | − | 1.42191i | −0.806822 | − | 0.590794i | \(-0.798814\pi\) |
0.556101 | − | 0.831114i | \(-0.312297\pi\) | |||||||
\(434\) | 0.528331 | + | 1.45158i | 0.0253607 | + | 0.0696779i | ||||
\(435\) | 21.4720 | + | 22.6039i | 1.02951 | + | 1.08377i | ||||
\(436\) | 14.0918i | 0.674877i | ||||||||
\(437\) | 0.0793075 | + | 0.222318i | 0.00379379 | + | 0.0106349i | ||||
\(438\) | −3.76794 | + | 14.7291i | −0.180039 | + | 0.703783i | ||||
\(439\) | 9.40233 | − | 11.2053i | 0.448749 | − | 0.534798i | −0.493485 | − | 0.869754i | \(-0.664277\pi\) |
0.942234 | + | 0.334957i | \(0.108722\pi\) | |||||||
\(440\) | −3.41995 | − | 6.46503i | −0.163040 | − | 0.308208i | ||||
\(441\) | 5.06310 | − | 14.9592i | 0.241100 | − | 0.712343i | ||||
\(442\) | −2.53027 | − | 0.446155i | −0.120353 | − | 0.0212214i | ||||
\(443\) | −1.19514 | − | 0.434997i | −0.0567830 | − | 0.0206673i | 0.313472 | − | 0.949597i | \(-0.398508\pi\) |
−0.370256 | + | 0.928930i | \(0.620730\pi\) | |||||||
\(444\) | 5.29071 | − | 1.48222i | 0.251086 | − | 0.0703432i | ||||
\(445\) | −29.7817 | − | 12.1061i | −1.41179 | − | 0.573886i | ||||
\(446\) | −4.42216 | − | 5.27012i | −0.209395 | − | 0.249548i | ||||
\(447\) | 24.5359 | − | 11.7822i | 1.16051 | − | 0.557281i | ||||
\(448\) | −1.14096 | − | 0.658735i | −0.0539054 | − | 0.0311223i | ||||
\(449\) | 9.75714 | + | 16.8999i | 0.460468 | + | 0.797553i | 0.998984 | − | 0.0450615i | \(-0.0143484\pi\) |
−0.538517 | + | 0.842615i | \(0.681015\pi\) | |||||||
\(450\) | −8.15684 | + | 12.5883i | −0.384517 | + | 0.593419i | ||||
\(451\) | 17.1068 | + | 3.01639i | 0.805528 | + | 0.142036i | ||||
\(452\) | −11.1196 | + | 1.96068i | −0.523020 | + | 0.0922226i | ||||
\(453\) | −12.7714 | + | 1.26362i | −0.600054 | + | 0.0593702i | ||||
\(454\) | 6.35078 | + | 5.32894i | 0.298057 | + | 0.250100i | ||||
\(455\) | 1.83963 | − | 0.254565i | 0.0862430 | − | 0.0119342i | ||||
\(456\) | −1.91795 | + | 7.30216i | −0.0898160 | + | 0.341955i | ||||
\(457\) | − | 24.4506i | − | 1.14375i | −0.820340 | − | 0.571877i | \(-0.806216\pi\) | ||
0.820340 | − | 0.571877i | \(-0.193784\pi\) | |||||||
\(458\) | −14.6474 | + | 17.4561i | −0.684427 | + | 0.815668i | ||||
\(459\) | −8.29118 | + | 19.4870i | −0.386999 | + | 0.909576i | ||||
\(460\) | 0.115239 | − | 0.0371733i | 0.00537303 | − | 0.00173321i | ||||
\(461\) | 28.5853 | + | 5.04036i | 1.33135 | + | 0.234753i | 0.793645 | − | 0.608381i | \(-0.208181\pi\) |
0.537704 | + | 0.843134i | \(0.319292\pi\) | |||||||
\(462\) | 6.16225 | + | 4.21140i | 0.286694 | + | 0.195932i | ||||
\(463\) | 14.9402 | − | 8.62574i | 0.694331 | − | 0.400872i | −0.110901 | − | 0.993831i | \(-0.535374\pi\) |
0.805233 | + | 0.592959i | \(0.202040\pi\) | |||||||
\(464\) | 4.02489 | − | 6.97131i | 0.186851 | − | 0.323635i | ||||
\(465\) | −2.50831 | − | 3.78547i | −0.116320 | − | 0.175547i | ||||
\(466\) | −10.3619 | − | 12.3489i | −0.480007 | − | 0.572050i | ||||
\(467\) | 6.75997 | − | 11.7086i | 0.312814 | − | 0.541810i | −0.666156 | − | 0.745812i | \(-0.732062\pi\) |
0.978970 | + | 0.204002i | \(0.0653950\pi\) | |||||||
\(468\) | 0.0429424 | + | 1.89074i | 0.00198501 | + | 0.0873994i | ||||
\(469\) | 0.897598 | − | 2.46613i | 0.0414472 | − | 0.113875i | ||||
\(470\) | −0.320251 | + | 8.64502i | −0.0147721 | + | 0.398765i | ||||
\(471\) | −2.12924 | + | 27.9947i | −0.0981101 | + | 1.28993i | ||||
\(472\) | 1.90788 | + | 5.24185i | 0.0878171 | + | 0.241276i | ||||
\(473\) | −14.6315 | − | 12.2773i | −0.672758 | − | 0.564511i | ||||
\(474\) | 5.80880 | − | 22.7069i | 0.266807 | − | 1.04296i | ||||
\(475\) | −21.6981 | + | 2.04719i | −0.995579 | + | 0.0939313i | ||||
\(476\) | − | 5.36951i | − | 0.246111i | ||||||
\(477\) | 14.3747 | − | 5.60479i | 0.658174 | − | 0.256626i | ||||
\(478\) | −17.7274 | + | 6.45225i | −0.810832 | + | 0.295119i | ||||
\(479\) | −6.76192 | + | 1.19231i | −0.308960 | + | 0.0544780i | −0.325979 | − | 0.945377i | \(-0.605694\pi\) |
0.0170184 | + | 0.999855i | \(0.494583\pi\) | |||||||
\(480\) | 3.71405 | + | 1.09811i | 0.169522 | + | 0.0501215i | ||||
\(481\) | 1.87918 | + | 0.683966i | 0.0856832 | + | 0.0311861i | ||||
\(482\) | −1.80935 | − | 3.13388i | −0.0824135 | − | 0.142744i | ||||
\(483\) | −0.0863790 | + | 0.0883631i | −0.00393038 | + | 0.00402066i | ||||
\(484\) | −0.230936 | + | 0.193778i | −0.0104971 | + | 0.00880810i | ||||
\(485\) | −24.6089 | − | 22.2526i | −1.11743 | − | 1.01044i | ||||
\(486\) | 15.2620 | + | 3.17374i | 0.692296 | + | 0.143964i | ||||
\(487\) | −10.3484 | − | 17.9239i | −0.468929 | − | 0.812208i | 0.530441 | − | 0.847722i | \(-0.322027\pi\) |
−0.999369 | + | 0.0355139i | \(0.988693\pi\) | |||||||
\(488\) | 0.328660 | − | 0.902986i | 0.0148777 | − | 0.0408763i | ||||
\(489\) | 16.8906 | − | 37.3226i | 0.763820 | − | 1.68779i | ||||
\(490\) | −3.61377 | − | 11.2028i | −0.163253 | − | 0.506092i | ||||
\(491\) | 2.75264 | + | 7.56282i | 0.124225 | + | 0.341305i | 0.986180 | − | 0.165680i | \(-0.0529820\pi\) |
−0.861955 | + | 0.506986i | \(0.830760\pi\) | |||||||
\(492\) | −7.47456 | + | 5.36124i | −0.336979 | + | 0.241703i | ||||
\(493\) | 32.8078 | 1.47759 | ||||||||
\(494\) | −2.11628 | + | 1.75278i | −0.0952159 | + | 0.0788615i | ||||
\(495\) | −20.5088 | − | 7.79894i | −0.921802 | − | 0.350536i | ||||
\(496\) | −0.753669 | + | 0.898188i | −0.0338407 | + | 0.0403298i | ||||
\(497\) | 0.411375 | + | 1.13024i | 0.0184527 | + | 0.0506984i | ||||
\(498\) | −1.00371 | + | 13.1966i | −0.0449775 | + | 0.591354i | ||||
\(499\) | −2.73791 | + | 15.5275i | −0.122566 | + | 0.695105i | 0.860158 | + | 0.510027i | \(0.170365\pi\) |
−0.982724 | + | 0.185077i | \(0.940746\pi\) | |||||||
\(500\) | 0.708917 | + | 11.1578i | 0.0317037 | + | 0.498994i | ||||
\(501\) | −5.42764 | − | 19.3736i | −0.242489 | − | 0.865550i | ||||
\(502\) | −7.06986 | + | 12.2454i | −0.315544 | + | 0.546537i | ||||
\(503\) | −20.9842 | + | 17.6078i | −0.935638 | + | 0.785093i | −0.976821 | − | 0.214058i | \(-0.931332\pi\) |
0.0411830 | + | 0.999152i | \(0.486887\pi\) | |||||||
\(504\) | −3.87578 | + | 0.774533i | −0.172641 | + | 0.0345004i | ||||
\(505\) | 5.47041 | − | 13.4575i | 0.243430 | − | 0.598850i | ||||
\(506\) | 0.0885607 | + | 0.153392i | 0.00393700 | + | 0.00681909i | ||||
\(507\) | 12.3164 | − | 18.0217i | 0.546990 | − | 0.800372i | ||||
\(508\) | −3.21377 | + | 18.2262i | −0.142588 | + | 0.808658i | ||||
\(509\) | 3.92282 | + | 22.2474i | 0.173876 | + | 0.986100i | 0.939433 | + | 0.342732i | \(0.111352\pi\) |
−0.765557 | + | 0.643368i | \(0.777537\pi\) | |||||||
\(510\) | 3.69266 | + | 15.3468i | 0.163514 | + | 0.679567i | ||||
\(511\) | −8.85881 | − | 7.43342i | −0.391891 | − | 0.328835i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 10.1360 | + | 20.2549i | 0.447517 | + | 0.894275i | ||||
\(514\) | 30.9651 | 1.36581 | ||||||||
\(515\) | −4.86837 | + | 7.75437i | −0.214526 | + | 0.341698i | ||||
\(516\) | 10.0651 | − | 0.995857i | 0.443092 | − | 0.0438401i | ||||
\(517\) | −12.4621 | + | 2.19741i | −0.548084 | + | 0.0966420i | ||||
\(518\) | −0.725724 | + | 4.11579i | −0.0318865 | + | 0.180837i | ||||
\(519\) | 37.1482 | + | 25.3878i | 1.63062 | + | 1.11440i | ||||
\(520\) | 0.865501 | + | 1.11265i | 0.0379547 | + | 0.0487928i | ||||
\(521\) | 7.82946 | − | 13.5610i | 0.343015 | − | 0.594120i | −0.641976 | − | 0.766725i | \(-0.721885\pi\) |
0.984991 | + | 0.172605i | \(0.0552185\pi\) | |||||||
\(522\) | −4.73241 | − | 23.6811i | −0.207132 | − | 1.03649i | ||||
\(523\) | −9.46665 | + | 7.94346i | −0.413948 | + | 0.347343i | −0.825855 | − | 0.563882i | \(-0.809307\pi\) |
0.411908 | + | 0.911226i | \(0.364863\pi\) | |||||||
\(524\) | −10.0864 | − | 5.82339i | −0.440627 | − | 0.254396i | ||||
\(525\) | −5.94580 | − | 9.73792i | −0.259496 | − | 0.424998i | ||||
\(526\) | 6.04005 | − | 16.5949i | 0.263359 | − | 0.723573i | ||||
\(527\) | −4.70607 | − | 0.829807i | −0.205000 | − | 0.0361469i | ||||
\(528\) | −0.429654 | + | 5.64898i | −0.0186983 | + | 0.245840i | ||||
\(529\) | 21.6102 | − | 7.86546i | 0.939573 | − | 0.341977i | ||||
\(530\) | 6.11470 | − | 9.73954i | 0.265606 | − | 0.423059i | ||||
\(531\) | 14.6790 | + | 8.03615i | 0.637014 | + | 0.348739i | ||||
\(532\) | −4.37544 | − | 3.71946i | −0.189699 | − | 0.161259i | ||||
\(533\) | −3.34794 | −0.145015 | ||||||||
\(534\) | 14.5138 | + | 20.2350i | 0.628075 | + | 0.875653i | ||||
\(535\) | 16.4017 | − | 8.67635i | 0.709106 | − | 0.375111i | ||||
\(536\) | 1.96174 | − | 0.345907i | 0.0847341 | − | 0.0149409i | ||||
\(537\) | −8.35972 | − | 3.78325i | −0.360749 | − | 0.163259i | ||||
\(538\) | −10.7004 | + | 29.3992i | −0.461329 | + | 1.26749i | ||||
\(539\) | 14.9118 | − | 8.60935i | 0.642298 | − | 0.370831i | ||||
\(540\) | 10.5449 | − | 4.87913i | 0.453779 | − | 0.209964i | ||||
\(541\) | −14.3906 | + | 12.0751i | −0.618700 | + | 0.519151i | −0.897394 | − | 0.441229i | \(-0.854543\pi\) |
0.278695 | + | 0.960380i | \(0.410098\pi\) | |||||||
\(542\) | −2.68033 | − | 3.19429i | −0.115130 | − | 0.137207i | ||||
\(543\) | −3.94800 | + | 4.03868i | −0.169425 | + | 0.173316i | ||||
\(544\) | 3.52959 | − | 2.03781i | 0.151330 | − | 0.0873703i | ||||
\(545\) | 30.8078 | + | 6.61672i | 1.31966 | + | 0.283429i | ||||
\(546\) | −1.31058 | − | 0.593114i | −0.0560878 | − | 0.0253829i | ||||
\(547\) | 3.01408 | + | 17.0937i | 0.128873 | + | 0.730873i | 0.978932 | + | 0.204186i | \(0.0654548\pi\) |
−0.850060 | + | 0.526687i | \(0.823434\pi\) | |||||||
\(548\) | 15.7667 | − | 5.73860i | 0.673519 | − | 0.245141i | ||||
\(549\) | −1.04724 | − | 2.68587i | −0.0446949 | − | 0.114630i | ||||
\(550\) | −15.7398 | + | 4.44113i | −0.671145 | + | 0.189370i | ||||
\(551\) | 22.7260 | − | 26.7340i | 0.968160 | − | 1.13891i | ||||
\(552\) | −0.0908666 | − | 0.0232452i | −0.00386754 | − | 0.000989380i | ||||
\(553\) | 13.6571 | + | 11.4596i | 0.580757 | + | 0.487313i | ||||
\(554\) | −9.97978 | + | 3.63234i | −0.424000 | + | 0.154323i | ||||
\(555\) | −0.756244 | − | 12.2626i | −0.0321008 | − | 0.520517i | ||||
\(556\) | 0.767176 | − | 4.35087i | 0.0325355 | − | 0.184518i | ||||
\(557\) | 37.5151 | + | 13.6544i | 1.58956 | + | 0.578554i | 0.977256 | − | 0.212065i | \(-0.0680188\pi\) |
0.612309 | + | 0.790619i | \(0.290241\pi\) | |||||||
\(558\) | 0.0798688 | + | 3.51660i | 0.00338112 | + | 0.148869i | ||||
\(559\) | 3.18806 | + | 1.84063i | 0.134840 | + | 0.0778502i | ||||
\(560\) | −1.97587 | + | 2.18508i | −0.0834956 | + | 0.0923367i | ||||
\(561\) | −20.8141 | + | 9.99504i | −0.878773 | + | 0.421991i | ||||
\(562\) | 24.2390 | + | 13.9944i | 1.02246 | + | 0.590318i | ||||
\(563\) | 38.8083 | − | 22.4060i | 1.63558 | − | 0.944300i | 0.653246 | − | 0.757146i | \(-0.273407\pi\) |
0.982330 | − | 0.187155i | \(-0.0599265\pi\) | |||||||
\(564\) | 3.78096 | − | 5.53242i | 0.159207 | − | 0.232957i | ||||
\(565\) | −0.934648 | + | 25.2304i | −0.0393209 | + | 1.06145i | ||||
\(566\) | 3.31856 | + | 18.8205i | 0.139489 | + | 0.791084i | ||||
\(567\) | −7.20145 | + | 9.41983i | −0.302432 | + | 0.395596i | ||||
\(568\) | −0.586831 | + | 0.699357i | −0.0246229 | + | 0.0293444i | ||||
\(569\) | 16.2168 | 0.679845 | 0.339923 | − | 0.940453i | \(-0.389599\pi\) | ||||
0.339923 | + | 0.940453i | \(0.389599\pi\) | |||||||
\(570\) | 15.0635 | + | 7.62171i | 0.630941 | + | 0.319238i | ||||
\(571\) | 15.4916 | 0.648303 | 0.324152 | − | 0.946005i | \(-0.394921\pi\) | ||||
0.324152 | + | 0.946005i | \(0.394921\pi\) | |||||||
\(572\) | −1.32541 | + | 1.57957i | −0.0554184 | + | 0.0660450i | ||||
\(573\) | 40.4171 | − | 3.99892i | 1.68845 | − | 0.167057i | ||||
\(574\) | −1.21497 | − | 6.89045i | −0.0507120 | − | 0.287602i | ||||
\(575\) | −0.0271592 | − | 0.269391i | −0.00113262 | − | 0.0112344i | ||||
\(576\) | −1.98005 | − | 2.25376i | −0.0825020 | − | 0.0939065i | ||||
\(577\) | −1.23629 | + | 0.713774i | −0.0514675 | + | 0.0297148i | −0.525513 | − | 0.850786i | \(-0.676127\pi\) |
0.474045 | + | 0.880500i | \(0.342793\pi\) | |||||||
\(578\) | −0.337182 | − | 0.194672i | −0.0140249 | − | 0.00809729i | ||||
\(579\) | −13.1253 | − | 27.3327i | −0.545468 | − | 1.13591i | ||||
\(580\) | −13.3509 | − | 12.0726i | −0.554366 | − | 0.501287i | ||||
\(581\) | −8.71817 | − | 5.03344i | −0.361691 | − | 0.208822i | ||||
\(582\) | 6.93294 | + | 24.7467i | 0.287379 | + | 1.02578i | ||||
\(583\) | 15.8073 | + | 5.75339i | 0.654672 | + | 0.238281i | ||||
\(584\) | 1.52423 | − | 8.64434i | 0.0630731 | − | 0.357705i | ||||
\(585\) | 4.15372 | + | 0.793901i | 0.171735 | + | 0.0328238i | ||||
\(586\) | −11.6897 | + | 4.25470i | −0.482897 | + | 0.175760i | ||||
\(587\) | −9.69157 | − | 8.13219i | −0.400014 | − | 0.335651i | 0.420485 | − | 0.907299i | \(-0.361860\pi\) |
−0.820499 | + | 0.571648i | \(0.806304\pi\) | |||||||
\(588\) | −2.25976 | + | 8.83352i | −0.0931909 | + | 0.364288i | ||||
\(589\) | −3.93608 | + | 3.26001i | −0.162183 | + | 0.134327i | ||||
\(590\) | 12.3556 | − | 1.70975i | 0.508673 | − | 0.0703894i | ||||
\(591\) | −9.50609 | + | 6.81838i | −0.391028 | + | 0.280471i | ||||
\(592\) | −2.98089 | + | 1.08496i | −0.122514 | + | 0.0445914i | ||||
\(593\) | 6.64678 | + | 37.6957i | 0.272950 | + | 1.54798i | 0.745398 | + | 0.666620i | \(0.232260\pi\) |
−0.472448 | + | 0.881359i | \(0.656629\pi\) | |||||||
\(594\) | 10.2169 | + | 13.5822i | 0.419205 | + | 0.557283i | ||||
\(595\) | −11.7389 | − | 2.52121i | −0.481248 | − | 0.103360i | ||||
\(596\) | −13.6091 | + | 7.85722i | −0.557450 | + | 0.321844i | ||||
\(597\) | −3.28395 | − | 3.21021i | −0.134403 | − | 0.131385i | ||||
\(598\) | −0.0219431 | − | 0.0261508i | −0.000897321 | − | 0.00106939i | ||||
\(599\) | 0.596444 | − | 0.500476i | 0.0243700 | − | 0.0204489i | −0.630521 | − | 0.776172i | \(-0.717159\pi\) |
0.654891 | + | 0.755723i | \(0.272714\pi\) | |||||||
\(600\) | 4.14460 | − | 7.60410i | 0.169203 | − | 0.310436i | ||||
\(601\) | −18.2021 | + | 10.5090i | −0.742479 | + | 0.428670i | −0.822970 | − | 0.568085i | \(-0.807684\pi\) |
0.0804911 | + | 0.996755i | \(0.474351\pi\) | |||||||
\(602\) | −2.63127 | + | 7.22936i | −0.107243 | + | 0.294647i | ||||
\(603\) | 3.73636 | − | 4.66392i | 0.152156 | − | 0.189929i | ||||
\(604\) | 7.29702 | − | 1.28666i | 0.296912 | − | 0.0523535i | ||||
\(605\) | 0.315206 | + | 0.595862i | 0.0128150 | + | 0.0242252i | ||||
\(606\) | −9.14359 | + | 6.55837i | −0.371433 | + | 0.266416i | ||||
\(607\) | 35.7122 | 1.44951 | 0.724757 | − | 0.689004i | \(-0.241952\pi\) | ||||
0.724757 | + | 0.689004i | \(0.241952\pi\) | |||||||
\(608\) | 0.784405 | − | 4.28774i | 0.0318118 | − | 0.173891i | ||||
\(609\) | 17.7959 | + | 4.55249i | 0.721127 | + | 0.184476i | ||||
\(610\) | −1.81980 | − | 1.14251i | −0.0736816 | − | 0.0462590i | ||||
\(611\) | 2.29185 | − | 0.834166i | 0.0927184 | − | 0.0337467i | ||||
\(612\) | 3.91987 | − | 11.5815i | 0.158451 | − | 0.468153i | ||||
\(613\) | −42.7399 | − | 7.53619i | −1.72625 | − | 0.304384i | −0.779509 | − | 0.626391i | \(-0.784532\pi\) |
−0.946737 | + | 0.322007i | \(0.895643\pi\) | |||||||
\(614\) | −5.41403 | + | 14.8749i | −0.218492 | + | 0.600303i | ||||
\(615\) | 8.21119 | + | 18.8583i | 0.331107 | + | 0.760441i | ||||
\(616\) | −3.73193 | − | 2.15463i | −0.150364 | − | 0.0868126i | ||||
\(617\) | 13.6494 | − | 11.4532i | 0.549506 | − | 0.461090i | −0.325268 | − | 0.945622i | \(-0.605454\pi\) |
0.874774 | + | 0.484532i | \(0.161010\pi\) | |||||||
\(618\) | 6.39324 | − | 3.07006i | 0.257174 | − | 0.123496i | ||||
\(619\) | 6.33105 | − | 10.9657i | 0.254466 | − | 0.440749i | −0.710284 | − | 0.703915i | \(-0.751434\pi\) |
0.964750 | + | 0.263166i | \(0.0847668\pi\) | |||||||
\(620\) | 1.60975 | + | 2.06942i | 0.0646491 | + | 0.0831099i | ||||
\(621\) | −0.250818 | + | 0.127531i | −0.0100650 | + | 0.00511766i | ||||
\(622\) | −4.05259 | + | 22.9834i | −0.162494 | + | 0.921551i | ||||
\(623\) | −18.6537 | + | 3.28915i | −0.747344 | + | 0.131777i | ||||
\(624\) | −0.107509 | − | 1.08659i | −0.00430381 | − | 0.0434986i | ||||
\(625\) | 24.7263 | + | 3.68924i | 0.989052 | + | 0.147570i | ||||
\(626\) | 29.9250 | 1.19604 | ||||||||
\(627\) | −6.27333 | + | 23.8843i | −0.250533 | + | 0.953849i | ||||
\(628\) | − | 16.2094i | − | 0.646827i | ||||||
\(629\) | −9.90394 | − | 8.31039i | −0.394896 | − | 0.331357i | ||||
\(630\) | −0.126550 | + | 8.83696i | −0.00504188 | + | 0.352073i | ||||
\(631\) | −3.74024 | − | 21.2119i | −0.148896 | − | 0.844434i | −0.964156 | − | 0.265338i | \(-0.914517\pi\) |
0.815259 | − | 0.579096i | \(-0.196595\pi\) | |||||||
\(632\) | −2.34981 | + | 13.3264i | −0.0934704 | + | 0.530097i | ||||
\(633\) | −21.6684 | − | 14.8086i | −0.861243 | − | 0.588590i | ||||
\(634\) | 8.27451 | + | 14.3319i | 0.328623 | + | 0.569192i | ||||
\(635\) | 38.3374 | + | 15.5840i | 1.52137 | + | 0.618432i | ||||
\(636\) | −8.02995 | + | 3.85602i | −0.318408 | + | 0.152901i | ||||
\(637\) | −2.54223 | + | 2.13318i | −0.100727 | + | 0.0845197i | ||||
\(638\) | 13.1648 | − | 22.8022i | 0.521201 | − | 0.902747i | ||||
\(639\) | 0.0621884 | + | 2.73813i | 0.00246013 | + | 0.108319i | ||||
\(640\) | −2.18621 | − | 0.469543i | −0.0864177 | − | 0.0185603i | ||||
\(641\) | −1.27777 | + | 7.24662i | −0.0504690 | + | 0.286224i | −0.999588 | − | 0.0286928i | \(-0.990866\pi\) |
0.949119 | + | 0.314917i | \(0.101977\pi\) | |||||||
\(642\) | −14.3314 | − | 1.09002i | −0.565614 | − | 0.0430198i | ||||
\(643\) | 0.842520 | + | 2.31480i | 0.0332257 | + | 0.0912870i | 0.955196 | − | 0.295973i | \(-0.0956438\pi\) |
−0.921971 | + | 0.387260i | \(0.873422\pi\) | |||||||
\(644\) | 0.0458582 | − | 0.0546517i | 0.00180707 | − | 0.00215358i | ||||
\(645\) | 2.54884 | − | 22.4721i | 0.100361 | − | 0.884837i | ||||
\(646\) | 16.7324 | − | 5.96896i | 0.658328 | − | 0.234846i | ||||
\(647\) | −10.5697 | −0.415537 | −0.207768 | − | 0.978178i | \(-0.566620\pi\) | ||||
−0.207768 | + | 0.978178i | \(0.566620\pi\) | |||||||
\(648\) | −8.92508 | − | 1.15883i | −0.350610 | − | 0.0455230i | ||||
\(649\) | 6.24040 | + | 17.1454i | 0.244957 | + | 0.673014i | ||||
\(650\) | 2.83887 | − | 1.36973i | 0.111350 | − | 0.0537254i | ||||
\(651\) | −2.43756 | − | 1.10314i | −0.0955357 | − | 0.0432353i | ||||
\(652\) | −8.08951 | + | 22.2257i | −0.316810 | + | 0.870427i | ||||
\(653\) | −1.57775 | − | 2.73274i | −0.0617422 | − | 0.106941i | 0.833502 | − | 0.552516i | \(-0.186332\pi\) |
−0.895244 | + | 0.445576i | \(0.852999\pi\) | |||||||
\(654\) | −17.4538 | − | 17.0618i | −0.682496 | − | 0.667171i | ||||
\(655\) | −17.4672 | + | 19.3167i | −0.682499 | + | 0.754767i | ||||
\(656\) | 4.06826 | − | 3.41368i | 0.158839 | − | 0.133282i | ||||
\(657\) | −13.6810 | − | 22.5003i | −0.533745 | − | 0.877819i | ||||
\(658\) | 2.54853 | + | 4.41418i | 0.0993520 | + | 0.172083i | ||||
\(659\) | 40.3334 | + | 14.6802i | 1.57117 | + | 0.571858i | 0.973260 | − | 0.229706i | \(-0.0737765\pi\) |
0.597908 | + | 0.801565i | \(0.295999\pi\) | |||||||
\(660\) | 12.1481 | + | 3.59175i | 0.472866 | + | 0.139809i | ||||
\(661\) | −14.2238 | + | 2.50804i | −0.553241 | + | 0.0975514i | −0.443278 | − | 0.896384i | \(-0.646184\pi\) |
−0.109963 | + | 0.993936i | \(0.535073\pi\) | |||||||
\(662\) | 0.557237 | − | 0.202818i | 0.0216576 | − | 0.00788273i | ||||
\(663\) | 3.61615 | − | 2.59373i | 0.140439 | − | 0.100732i | ||||
\(664\) | − | 7.64106i | − | 0.296531i | ||||||
\(665\) | −10.1860 | + | 7.81919i | −0.394996 | + | 0.303215i | ||||
\(666\) | −4.56994 | + | 8.34753i | −0.177081 | + | 0.323460i | ||||
\(667\) | 0.333923 | + | 0.280195i | 0.0129296 | + | 0.0108492i | ||||
\(668\) | 3.97292 | + | 10.9155i | 0.153717 | + | 0.422333i | ||||
\(669\) | 11.8816 | + | 0.903698i | 0.459369 | + | 0.0349390i | ||||
\(670\) | 0.164892 | − | 4.45119i | 0.00637035 | − | 0.171964i | ||||
\(671\) | 1.07500 | − | 2.95354i | 0.0415000 | − | 0.114020i | ||||
\(672\) | 2.19732 | − | 0.615594i | 0.0847636 | − | 0.0237470i | ||||
\(673\) | −7.53961 | + | 13.0590i | −0.290631 | + | 0.503387i | −0.973959 | − | 0.226724i | \(-0.927198\pi\) |
0.683328 | + | 0.730111i | \(0.260532\pi\) | |||||||
\(674\) | −4.95053 | − | 5.89981i | −0.190687 | − | 0.227252i | ||||
\(675\) | −5.71556 | − | 25.3443i | −0.219992 | − | 0.975502i | ||||
\(676\) | −6.30129 | + | 10.9142i | −0.242357 | + | 0.419775i | ||||
\(677\) | −27.0191 | + | 15.5995i | −1.03843 | + | 0.599537i | −0.919388 | − | 0.393352i | \(-0.871315\pi\) |
−0.119041 | + | 0.992889i | \(0.537982\pi\) | |||||||
\(678\) | 11.0347 | − | 16.1463i | 0.423785 | − | 0.620095i | ||||
\(679\) | −19.2511 | − | 3.39450i | −0.738791 | − | 0.130269i | ||||
\(680\) | −2.79779 | − | 8.67327i | −0.107290 | − | 0.332605i | ||||
\(681\) | −14.2895 | + | 1.41383i | −0.547577 | + | 0.0541780i | ||||
\(682\) | −2.46515 | + | 2.93785i | −0.0943954 | + | 0.112496i | ||||
\(683\) | − | 24.3802i | − | 0.932881i | −0.884553 | − | 0.466440i | \(-0.845536\pi\) | ||
0.884553 | − | 0.466440i | \(-0.154464\pi\) | |||||||
\(684\) | −6.72207 | − | 11.2167i | −0.257025 | − | 0.428880i | ||||
\(685\) | −5.14268 | − | 37.1638i | −0.196492 | − | 1.41996i | ||||
\(686\) | −12.3776 | − | 10.3860i | −0.472579 | − | 0.396541i | ||||
\(687\) | −3.88612 | − | 39.2769i | −0.148265 | − | 1.49851i | ||||
\(688\) | −5.75075 | + | 1.01401i | −0.219245 | + | 0.0386589i | ||||
\(689\) | −3.19289 | − | 0.562992i | −0.121639 | − | 0.0214483i | ||||
\(690\) | −0.0934847 | + | 0.187739i | −0.00355890 | + | 0.00714711i | ||||
\(691\) | −21.0762 | − | 36.5050i | −0.801776 | − | 1.38872i | −0.918446 | − | 0.395546i | \(-0.870555\pi\) |
0.116670 | − | 0.993171i | \(-0.462778\pi\) | |||||||
\(692\) | −22.4974 | − | 12.9889i | −0.855222 | − | 0.493763i | ||||
\(693\) | −12.6771 | + | 2.53339i | −0.481565 | + | 0.0962355i | ||||
\(694\) | 23.5786 | + | 28.0999i | 0.895031 | + | 1.06666i | ||||
\(695\) | −9.15171 | − | 3.72013i | −0.347144 | − | 0.141113i | ||||
\(696\) | 3.76129 | + | 13.4257i | 0.142571 | + | 0.508900i | ||||
\(697\) | 20.3392 | + | 7.40287i | 0.770403 | + | 0.280404i | ||||
\(698\) | 17.4810 | + | 3.08238i | 0.661666 | + | 0.116670i | ||||
\(699\) | 27.8408 | + | 2.11753i | 1.05303 | + | 0.0800923i | ||||
\(700\) | 3.84931 | + | 5.34566i | 0.145490 | + | 0.202047i | ||||
\(701\) | −18.0947 | + | 21.5644i | −0.683427 | + | 0.814476i | −0.990544 | − | 0.137196i | \(-0.956191\pi\) |
0.307117 | + | 0.951672i | \(0.400636\pi\) | |||||||
\(702\) | −2.39381 | − | 2.23604i | −0.0903484 | − | 0.0843940i | ||||
\(703\) | −13.6323 | + | 2.31378i | −0.514153 | + | 0.0872659i | ||||
\(704\) | − | 3.27086i | − | 0.123275i | ||||||
\(705\) | −10.3197 | − | 10.8637i | −0.388663 | − | 0.409151i | ||||
\(706\) | 2.89626 | + | 7.95742i | 0.109002 | + | 0.299481i | ||||
\(707\) | −1.48627 | − | 8.42905i | −0.0558969 | − | 0.317007i | ||||
\(708\) | −8.80238 | − | 3.98358i | −0.330814 | − | 0.149712i | ||||
\(709\) | −9.49114 | − | 3.45449i | −0.356447 | − | 0.129736i | 0.157589 | − | 0.987505i | \(-0.449628\pi\) |
−0.514036 | + | 0.857769i | \(0.671850\pi\) | |||||||
\(710\) | 1.25340 | + | 1.61132i | 0.0470394 | + | 0.0604716i | ||||
\(711\) | 21.0911 | + | 34.6872i | 0.790977 | + | 1.30087i | ||||
\(712\) | −9.24144 | − | 11.0135i | −0.346338 | − | 0.412749i | ||||
\(713\) | −0.0408122 | − | 0.0486380i | −0.00152843 | − | 0.00182151i | ||||
\(714\) | 6.65052 | + | 6.50119i | 0.248889 | + | 0.243301i | ||||
\(715\) | 2.83093 | + | 3.63931i | 0.105871 | + | 0.136103i | ||||
\(716\) | 4.97824 | + | 1.81193i | 0.186046 | + | 0.0677151i | ||||
\(717\) | 13.4721 | − | 29.7688i | 0.503124 | − | 1.11174i | ||||
\(718\) | −0.232739 | − | 1.31993i | −0.00868575 | − | 0.0492594i | ||||
\(719\) | −10.7327 | − | 29.4878i | −0.400262 | − | 1.09971i | −0.962156 | − | 0.272501i | \(-0.912149\pi\) |
0.561894 | − | 0.827209i | \(-0.310073\pi\) | |||||||
\(720\) | −5.85691 | + | 3.27057i | −0.218274 | + | 0.121887i | ||||
\(721\) | 5.39460i | 0.200905i | ||||||||
\(722\) | 6.72665 | − | 17.7694i | 0.250340 | − | 0.661309i | ||||
\(723\) | 6.07222 | + | 1.55337i | 0.225828 | + | 0.0577706i | ||||
\(724\) | 2.09597 | − | 2.49788i | 0.0778963 | − | 0.0928332i | ||||
\(725\) | −32.6621 | + | 23.5193i | −1.21304 | + | 0.873487i | ||||
\(726\) | 0.0395999 | − | 0.520649i | 0.00146969 | − | 0.0193231i | ||||
\(727\) | 35.6502 | + | 6.28609i | 1.32219 | + | 0.233138i | 0.789802 | − | 0.613362i | \(-0.210183\pi\) |
0.532389 | + | 0.846500i | \(0.321294\pi\) | |||||||
\(728\) | 0.780457 | + | 0.284063i | 0.0289257 | + | 0.0105281i | ||||
\(729\) | −22.4095 | + | 15.0604i | −0.829981 | + | 0.557792i | ||||
\(730\) | −18.1827 | − | 7.39118i | −0.672971 | − | 0.273560i | ||||
\(731\) | −15.2980 | − | 18.2314i | −0.565816 | − | 0.674314i | ||||
\(732\) | 0.720484 | + | 1.50037i | 0.0266299 | + | 0.0554552i | ||||
\(733\) | 21.0150 | + | 12.1330i | 0.776206 | + | 0.448143i | 0.835084 | − | 0.550122i | \(-0.185419\pi\) |
−0.0588778 | + | 0.998265i | \(0.518752\pi\) | |||||||
\(734\) | −16.4345 | − | 28.4654i | −0.606610 | − | 1.05068i | ||||
\(735\) | 18.2509 | + | 9.08803i | 0.673195 | + | 0.335217i | ||||
\(736\) | 0.0533286 | + | 0.00940327i | 0.00196572 | + | 0.000346609i | ||||
\(737\) | 6.41656 | − | 1.13141i | 0.236357 | − | 0.0416761i | ||||
\(738\) | 2.40963 | − | 15.7490i | 0.0886995 | − | 0.579727i | ||||
\(739\) | −0.951635 | − | 0.798517i | −0.0350065 | − | 0.0293739i | 0.625117 | − | 0.780531i | \(-0.285051\pi\) |
−0.660123 | + | 0.751157i | \(0.729496\pi\) | |||||||
\(740\) | 0.972289 | + | 7.02630i | 0.0357421 | + | 0.258292i | ||||
\(741\) | 0.391359 | − | 4.74336i | 0.0143769 | − | 0.174252i | ||||
\(742\) | − | 6.77565i | − | 0.248742i | ||||||
\(743\) | −27.2474 | + | 32.4722i | −0.999609 | + | 1.19129i | −0.0181073 | + | 0.999836i | \(0.505764\pi\) |
−0.981502 | + | 0.191452i | \(0.938680\pi\) | |||||||
\(744\) | −0.199957 | − | 2.02096i | −0.00733078 | − | 0.0740921i | ||||
\(745\) | 10.7875 | + | 33.4417i | 0.395223 | + | 1.22521i | ||||
\(746\) | −25.4309 | − | 4.48415i | −0.931090 | − | 0.164176i | ||||
\(747\) | −15.1297 | − | 17.2211i | −0.553566 | − | 0.630087i | ||||
\(748\) | 11.5448 | − | 6.66539i | 0.422119 | − | 0.243711i | ||||
\(749\) | 5.46627 | − | 9.46785i | 0.199733 | − | 0.345948i | ||||
\(750\) | −14.6781 | − | 12.6314i | −0.535969 | − | 0.461235i | ||||
\(751\) | 15.2865 | + | 18.2178i | 0.557813 | + | 0.664775i | 0.969082 | − | 0.246739i | \(-0.0793589\pi\) |
−0.411269 | + | 0.911514i | \(0.634914\pi\) | |||||||
\(752\) | −1.93441 | + | 3.35050i | −0.0705407 | + | 0.122180i | ||||
\(753\) | −6.60685 | − | 23.5827i | −0.240767 | − | 0.859403i | ||||
\(754\) | −1.73563 | + | 4.76861i | −0.0632080 | + | 0.173662i | ||||
\(755\) | 0.613346 | − | 16.5570i | 0.0223220 | − | 0.602571i | ||||
\(756\) | 3.73333 | − | 5.73820i | 0.135780 | − | 0.208696i | ||||
\(757\) | −14.8974 | − | 40.9304i | −0.541457 | − | 1.48764i | −0.844970 | − | 0.534813i | \(-0.820382\pi\) |
0.303513 | − | 0.952827i | \(-0.401840\pi\) | |||||||
\(758\) | −15.7714 | − | 13.2337i | −0.572841 | − | 0.480671i | ||||
\(759\) | −0.297212 | − | 0.0760317i | −0.0107881 | − | 0.00275978i | ||||
\(760\) | −9.00560 | − | 3.72815i | −0.326668 | − | 0.135234i | ||||
\(761\) | 11.9464i | 0.433055i | 0.976277 | + | 0.216528i | \(0.0694731\pi\) | ||||
−0.976277 | + | 0.216528i | \(0.930527\pi\) | |||||||
\(762\) | −18.6834 | − | 26.0481i | −0.676827 | − | 0.943622i | ||||
\(763\) | 17.4460 | − | 6.34981i | 0.631586 | − | 0.229878i | ||||
\(764\) | −23.0925 | + | 4.07183i | −0.835457 | + | 0.147314i | ||||
\(765\) | −23.4790 | − | 14.0077i | −0.848886 | − | 0.506448i | ||||
\(766\) | −9.15789 | − | 3.33320i | −0.330888 | − | 0.120433i | ||||
\(767\) | −1.75829 | − | 3.04545i | −0.0634882 | − | 0.109965i | ||||
\(768\) | 1.23857 | + | 1.21076i | 0.0446931 | + | 0.0436896i | ||||
\(769\) | 13.1537 | − | 11.0373i | 0.474335 | − | 0.398014i | −0.374038 | − | 0.927413i | \(-0.622027\pi\) |
0.848373 | + | 0.529399i | \(0.177583\pi\) | |||||||
\(770\) | −6.46279 | + | 7.14711i | −0.232903 | + | 0.257564i | ||||
\(771\) | −37.4913 | + | 38.3524i | −1.35022 | + | 1.38123i | ||||
\(772\) | 8.75285 | + | 15.1604i | 0.315022 | + | 0.545634i | ||||
\(773\) | −1.55329 | + | 4.26763i | −0.0558680 | + | 0.153496i | −0.964487 | − | 0.264129i | \(-0.914915\pi\) |
0.908619 | + | 0.417626i | \(0.137138\pi\) | |||||||
\(774\) | −10.9530 | + | 13.6721i | −0.393697 | + | 0.491434i | ||||
\(775\) | 5.28004 | − | 2.54758i | 0.189665 | − | 0.0915117i | ||||
\(776\) | −5.07476 | − | 13.9428i | −0.182173 | − | 0.500517i | ||||
\(777\) | −4.21902 | − | 5.88209i | −0.151356 | − | 0.211019i | ||||
\(778\) | 1.40388 | 0.0503315 | ||||||||
\(779\) | 20.1214 | − | 11.4458i | 0.720923 | − | 0.410088i | ||||
\(780\) | −2.42601 | − | 0.275164i | −0.0868650 | − | 0.00985246i | ||||
\(781\) | −1.91944 | + | 2.28750i | −0.0686830 | + | 0.0818532i | ||||
\(782\) | 0.0754838 | + | 0.207390i | 0.00269930 | + | 0.00741625i | ||||
\(783\) | 35.0605 | + | 22.8107i | 1.25296 | + | 0.815188i | ||||
\(784\) | 0.914131 | − | 5.18429i | 0.0326475 | − | 0.185153i | ||||
\(785\) | −35.4373 | − | 7.61102i | −1.26481 | − | 0.271649i | ||||
\(786\) | 19.4249 | − | 5.44201i | 0.692864 | − | 0.194110i | ||||
\(787\) | −26.5576 | + | 45.9991i | −0.946675 | + | 1.63969i | −0.194314 | + | 0.980939i | \(0.562248\pi\) |
−0.752361 | + | 0.658751i | \(0.771085\pi\) | |||||||
\(788\) | 5.17399 | − | 4.34149i | 0.184316 | − | 0.154659i | ||||
\(789\) | 13.2409 | + | 27.5735i | 0.471389 | + | 0.981643i | ||||
\(790\) | 28.0311 | + | 11.3945i | 0.997301 | + | 0.405399i | ||||
\(791\) | 7.43785 | + | 12.8827i | 0.264459 | + | 0.458057i | ||||
\(792\) | −6.47646 | − | 7.37172i | −0.230131 | − | 0.261943i | ||||
\(793\) | −0.105193 | + | 0.596580i | −0.00373552 | + | 0.0211852i | ||||
\(794\) | 1.81135 | + | 10.2727i | 0.0642823 | + | 0.364563i | ||||
\(795\) | 4.65968 | + | 19.3657i | 0.165262 | + | 0.686832i | ||||
\(796\) | 2.03109 | + | 1.70429i | 0.0719901 | + | 0.0604069i | ||||
\(797\) | 14.3302i | 0.507602i | 0.967256 | + | 0.253801i | \(0.0816808\pi\) | ||||
−0.967256 | + | 0.253801i | \(0.918319\pi\) | |||||||
\(798\) | 9.90443 | − | 0.915912i | 0.350613 | − | 0.0324229i | ||||
\(799\) | −15.7678 | −0.557826 | ||||||||
\(800\) | −2.05304 | + | 4.55906i | −0.0725860 | + | 0.161187i | ||||
\(801\) | −42.6353 | − | 6.52329i | −1.50644 | − | 0.230489i | ||||
\(802\) | −8.79796 | + | 1.55132i | −0.310667 | + | 0.0547789i | ||||
\(803\) | 4.98554 | − | 28.2744i | 0.175936 | − | 0.997783i | ||||
\(804\) | −1.94676 | + | 2.84856i | −0.0686570 | + | 0.100461i | ||||
\(805\) | −0.0979479 | − | 0.125917i | −0.00345221 | − | 0.00443800i | ||||
\(806\) | 0.369577 | − | 0.640127i | 0.0130178 | − | 0.0225475i | ||||
\(807\) | −23.4574 | − | 48.8487i | −0.825738 | − | 1.71955i | ||||
\(808\) | 4.97669 | − | 4.17593i | 0.175079 | − | 0.146909i | ||||
\(809\) | −3.22566 | − | 1.86234i | −0.113408 | − | 0.0654763i | 0.442223 | − | 0.896905i | \(-0.354190\pi\) |
−0.555631 | + | 0.831429i | \(0.687523\pi\) | |||||||
\(810\) | −6.72415 | + | 18.9680i | −0.236262 | + | 0.666468i | ||||
\(811\) | 6.88080 | − | 18.9049i | 0.241618 | − | 0.663839i | −0.758311 | − | 0.651893i | \(-0.773975\pi\) |
0.999929 | − | 0.0119462i | \(-0.00380267\pi\) | |||||||
\(812\) | −10.4442 | − | 1.84160i | −0.366520 | − | 0.0646274i | ||||
\(813\) | 7.20159 | + | 0.547743i | 0.252571 | + | 0.0192102i | ||||
\(814\) | −9.75009 | + | 3.54874i | −0.341740 | + | 0.124383i | ||||
\(815\) | 44.7918 | + | 28.1213i | 1.56899 | + | 0.985047i | ||||
\(816\) | −1.74951 | + | 6.83894i | −0.0612452 | + | 0.239411i | ||||
\(817\) | −25.4531 | − | 0.163098i | −0.890492 | − | 0.00570608i | ||||
\(818\) | −10.4100 | −0.363979 | ||||||||
\(819\) | 2.32142 | − | 0.905133i | 0.0811169 | − | 0.0316279i | ||||
\(820\) | −5.55281 | − | 10.4970i | −0.193912 | − | 0.366570i | ||||
\(821\) | 8.46967 | − | 1.49343i | 0.295593 | − | 0.0521211i | −0.0238848 | − | 0.999715i | \(-0.507603\pi\) |
0.319478 | + | 0.947594i | \(0.396492\pi\) | |||||||
\(822\) | −11.9820 | + | 26.4762i | −0.417920 | + | 0.923464i | ||||
\(823\) | 8.34661 | − | 22.9321i | 0.290945 | − | 0.799364i | −0.704984 | − | 0.709223i | \(-0.749046\pi\) |
0.995929 | − | 0.0901408i | \(-0.0287317\pi\) | |||||||
\(824\) | −3.54608 | + | 2.04733i | −0.123534 | + | 0.0713221i | ||||
\(825\) | 13.5564 | − | 24.8719i | 0.471974 | − | 0.865930i | ||||
\(826\) | 5.62981 | − | 4.72397i | 0.195886 | − | 0.164368i | ||||
\(827\) | −11.0417 | − | 13.1590i | −0.383957 | − | 0.457583i | 0.539102 | − | 0.842241i | \(-0.318764\pi\) |
−0.923059 | + | 0.384658i | \(0.874319\pi\) | |||||||
\(828\) | 0.138809 | − | 0.0844005i | 0.00482393 | − | 0.00293312i | ||||
\(829\) | 14.9589 | − | 8.63655i | 0.519545 | − | 0.299960i | −0.217203 | − | 0.976126i | \(-0.569693\pi\) |
0.736749 | + | 0.676167i | \(0.236360\pi\) | |||||||
\(830\) | −16.7050 | − | 3.58781i | −0.579839 | − | 0.124535i | ||||
\(831\) | 7.58421 | − | 16.7586i | 0.263093 | − | 0.581348i | ||||
\(832\) | 0.109469 | + | 0.620831i | 0.00379516 | + | 0.0215234i | ||||
\(833\) | 20.1612 | − | 7.33809i | 0.698546 | − | 0.254250i | ||||
\(834\) | 4.46000 | + | 6.21807i | 0.154437 | + | 0.215314i | ||||
\(835\) | 25.7291 | − | 3.56035i | 0.890391 | − | 0.123211i | ||||
\(836\) | 2.56568 | − | 14.0246i | 0.0887359 | − | 0.485051i | ||||
\(837\) | −4.45226 | − | 4.15883i | −0.153893 | − | 0.143750i | ||||
\(838\) | −25.0694 | − | 21.0358i | −0.866009 | − | 0.726668i | ||||
\(839\) | 7.46609 | − | 2.71743i | 0.257758 | − | 0.0938162i | −0.209909 | − | 0.977721i | \(-0.567317\pi\) |
0.467667 | + | 0.883905i | \(0.345095\pi\) | |||||||
\(840\) | −0.314082 | − | 5.09287i | −0.0108368 | − | 0.175721i | ||||
\(841\) | 6.21641 | − | 35.2550i | 0.214359 | − | 1.21569i | ||||
\(842\) | 30.4013 | + | 11.0652i | 1.04770 | + | 0.381331i | ||||
\(843\) | −46.6807 | + | 13.0779i | −1.60777 | + | 0.450426i | ||||
\(844\) | 13.1227 | + | 7.57637i | 0.451701 | + | 0.260790i | ||||
\(845\) | 20.9020 | + | 18.9006i | 0.719049 | + | 0.650202i | ||||
\(846\) | 2.27446 | + | 11.3814i | 0.0781974 | + | 0.391302i | ||||
\(847\) | 0.343961 | + | 0.198586i | 0.0118186 | + | 0.00682349i | ||||
\(848\) | 4.45390 | − | 2.57146i | 0.152948 | − | 0.0883043i | ||||
\(849\) | −27.3285 | − | 18.6768i | −0.937912 | − | 0.640987i | ||||
\(850\) | −20.2753 | + | 2.04410i | −0.695437 | + | 0.0701120i | ||||
\(851\) | −0.0298291 | − | 0.169169i | −0.00102253 | − | 0.00579904i | ||||
\(852\) | −0.155693 | − | 1.57359i | −0.00533395 | − | 0.0539102i | ||||
\(853\) | −27.5955 | + | 32.8871i | −0.944852 | + | 1.12603i | 0.0470326 | + | 0.998893i | \(0.485024\pi\) |
−0.991885 | + | 0.127138i | \(0.959421\pi\) | |||||||
\(854\) | −1.26601 | −0.0433219 | ||||||||
\(855\) | −27.6783 | + | 9.42917i | −0.946579 | + | 0.322471i | ||||
\(856\) | 8.29812 | 0.283624 | ||||||||
\(857\) | 4.41877 | − | 5.26609i | 0.150942 | − | 0.179886i | −0.685275 | − | 0.728285i | \(-0.740318\pi\) |
0.836217 | + | 0.548399i | \(0.184762\pi\) | |||||||
\(858\) | −0.351648 | − | 3.55410i | −0.0120051 | − | 0.121335i | ||||
\(859\) | 4.94388 | + | 28.0382i | 0.168683 | + | 0.956649i | 0.945185 | + | 0.326535i | \(0.105881\pi\) |
−0.776502 | + | 0.630115i | \(0.783008\pi\) | |||||||
\(860\) | −0.483376 | + | 13.0485i | −0.0164830 | + | 0.444950i | ||||
\(861\) | 10.0054 | + | 6.83785i | 0.340982 | + | 0.233033i | ||||
\(862\) | 22.2358 | − | 12.8379i | 0.757356 | − | 0.437260i | ||||
\(863\) | 13.6811 | + | 7.89878i | 0.465709 | + | 0.268877i | 0.714442 | − | 0.699695i | \(-0.246681\pi\) |
−0.248733 | + | 0.968572i | \(0.580014\pi\) | |||||||
\(864\) | 5.18880 | + | 0.276328i | 0.176527 | + | 0.00940086i | ||||
\(865\) | −38.9599 | + | 43.0852i | −1.32468 | + | 1.46494i | ||||
\(866\) | −26.0193 | − | 15.0222i | −0.884170 | − | 0.510476i | ||||
\(867\) | 0.649362 | − | 0.181923i | 0.0220535 | − | 0.00617842i | ||||
\(868\) | 1.45158 | + | 0.528331i | 0.0492697 | + | 0.0179327i | ||||
\(869\) | −7.68590 | + | 43.5889i | −0.260726 | + | 1.47865i | ||||
\(870\) | 31.1175 | − | 1.91904i | 1.05498 | − | 0.0650617i | ||||
\(871\) | −1.18004 | + | 0.429500i | −0.0399841 | + | 0.0145530i | ||||
\(872\) | 10.7950 | + | 9.05806i | 0.365564 | + | 0.306745i | ||||
\(873\) | −39.0447 | − | 21.3754i | −1.32146 | − | 0.723447i | ||||
\(874\) | 0.221283 | + | 0.0821500i | 0.00748502 | + | 0.00277877i | ||||
\(875\) | 13.4942 | − | 5.90539i | 0.456186 | − | 0.199639i | ||||
\(876\) | 8.86115 | + | 12.3541i | 0.299391 | + | 0.417406i | ||||
\(877\) | 8.93354 | − | 3.25154i | 0.301664 | − | 0.109797i | −0.186753 | − | 0.982407i | \(-0.559797\pi\) |
0.488418 | + | 0.872610i | \(0.337574\pi\) | |||||||
\(878\) | −2.54003 | − | 14.4052i | −0.0857217 | − | 0.486152i | ||||
\(879\) | 8.88367 | − | 19.6299i | 0.299639 | − | 0.662101i | ||||
\(880\) | −7.15080 | − | 1.53581i | −0.241053 | − | 0.0517721i | ||||
\(881\) | −15.4747 | + | 8.93433i | −0.521356 | + | 0.301005i | −0.737489 | − | 0.675359i | \(-0.763989\pi\) |
0.216133 | + | 0.976364i | \(0.430656\pi\) | |||||||
\(882\) | −8.20492 | − | 13.4942i | −0.276274 | − | 0.454372i | ||||
\(883\) | 20.1297 | + | 23.9896i | 0.677417 | + | 0.807314i | 0.989773 | − | 0.142651i | \(-0.0455626\pi\) |
−0.312356 | + | 0.949965i | \(0.601118\pi\) | |||||||
\(884\) | −1.96820 | + | 1.65152i | −0.0661978 | + | 0.0555465i | ||||
\(885\) | −12.8421 | + | 17.3734i | −0.431681 | + | 0.584001i | ||||
\(886\) | −1.10145 | + | 0.635923i | −0.0370040 | + | 0.0213643i | ||||
\(887\) | 10.4904 | − | 28.8223i | 0.352235 | − | 0.967757i | −0.629416 | − | 0.777069i | \(-0.716706\pi\) |
0.981651 | − | 0.190688i | \(-0.0610720\pi\) | |||||||
\(888\) | 2.26535 | − | 5.00567i | 0.0760202 | − | 0.167979i | ||||
\(889\) | 24.0125 | − | 4.23405i | 0.805354 | − | 0.142006i | ||||
\(890\) | −28.4172 | + | 15.0325i | −0.952546 | + | 0.503889i | ||||
\(891\) | −29.1927 | − | 3.79036i | −0.977993 | − | 0.126982i | ||||
\(892\) | −6.87966 | −0.230348 | ||||||||
\(893\) | −10.9224 | + | 12.8487i | −0.365504 | + | 0.429965i | ||||
\(894\) | 6.74563 | − | 26.3690i | 0.225608 | − | 0.881913i | ||||
\(895\) | 6.29877 | − | 10.0327i | 0.210545 | − | 0.335357i | ||||
\(896\) | −1.23802 | + | 0.450602i | −0.0413593 | + | 0.0150535i | ||||
\(897\) | 0.0589575 | + | 0.00448422i | 0.00196853 | + | 0.000149724i | ||||
\(898\) | 19.2178 | + | 3.38862i | 0.641306 | + | 0.113080i | ||||
\(899\) | −3.22811 | + | 8.86917i | −0.107664 | + | 0.295803i | ||||
\(900\) | 4.40010 | + | 14.3401i | 0.146670 | + | 0.478004i | ||||
\(901\) | 18.1524 | + | 10.4803i | 0.604744 | + | 0.349149i | ||||
\(902\) | 13.3067 | − | 11.1657i | 0.443066 | − | 0.371776i | ||||
\(903\) | −5.76824 | − | 12.0120i | −0.191955 | − | 0.399736i | ||||
\(904\) | −5.64555 | + | 9.77838i | −0.187768 | + | 0.325224i | ||||
\(905\) | −4.47676 | − | 5.75511i | −0.148813 | − | 0.191306i | ||||
\(906\) | −7.24132 | + | 10.5957i | −0.240577 | + | 0.352019i | ||||
\(907\) | −10.2562 | + | 58.1657i | −0.340551 | + | 1.93136i | 0.0228803 | + | 0.999738i | \(0.492716\pi\) |
−0.363431 | + | 0.931621i | \(0.618395\pi\) | |||||||
\(908\) | 8.16441 | − | 1.43961i | 0.270945 | − | 0.0477750i | ||||
\(909\) | 2.94768 | − | 19.2656i | 0.0977684 | − | 0.639000i | ||||
\(910\) | 0.987480 | − | 1.57287i | 0.0327347 | − | 0.0521400i | ||||
\(911\) | 13.2559 | 0.439188 | 0.219594 | − | 0.975591i | \(-0.429527\pi\) | ||||
0.219594 | + | 0.975591i | \(0.429527\pi\) | |||||||
\(912\) | 4.36094 | + | 6.16297i | 0.144405 | + | 0.204076i | ||||
\(913\) | − | 24.9929i | − | 0.827143i | ||||||
\(914\) | −18.7303 | − | 15.7166i | −0.619543 | − | 0.519858i | ||||
\(915\) | 3.61843 | − | 0.870645i | 0.119621 | − | 0.0287826i | ||||
\(916\) | 3.95697 | + | 22.4411i | 0.130742 | + | 0.741474i | ||||
\(917\) | −2.66451 | + | 15.1112i | −0.0879899 | + | 0.499015i | ||||
\(918\) | 9.59846 | + | 18.8774i | 0.316796 | + | 0.623048i | ||||
\(919\) | 16.9437 | + | 29.3474i | 0.558922 | + | 0.968082i | 0.997587 | + | 0.0694309i | \(0.0221183\pi\) |
−0.438665 | + | 0.898651i | \(0.644548\pi\) | |||||||
\(920\) | 0.0455976 | − | 0.112172i | 0.00150331 | − | 0.00369822i | ||||
\(921\) | −11.8686 | − | 24.7156i | −0.391082 | − | 0.814407i | ||||
\(922\) | 22.2354 | − | 18.6577i | 0.732284 | − | 0.614459i | ||||
\(923\) | 0.287765 | − | 0.498423i | 0.00947189 | − | 0.0164058i | ||||
\(924\) | 7.18714 | − | 2.01352i | 0.236440 | − | 0.0662400i | ||||
\(925\) | 15.8175 | + | 1.17352i | 0.520077 | + | 0.0385850i | ||||
\(926\) | 2.99569 | − | 16.9894i | 0.0984445 | − | 0.558306i | ||||
\(927\) | −3.93819 | + | 11.6356i | −0.129347 | + | 0.382163i | ||||
\(928\) | −2.75318 | − | 7.56431i | −0.0903777 | − | 0.248311i | ||||
\(929\) | 3.66441 | − | 4.36708i | 0.120226 | − | 0.143279i | −0.702575 | − | 0.711610i | \(-0.747966\pi\) |
0.822800 | + | 0.568331i | \(0.192411\pi\) | |||||||
\(930\) | −4.51215 | − | 0.511780i | −0.147959 | − | 0.0167819i | ||||
\(931\) | 7.98614 | − | 21.5119i | 0.261735 | − | 0.705023i | ||||
\(932\) | −16.1203 | −0.528038 | ||||||||
\(933\) | −23.5599 | − | 32.8468i | −0.771315 | − | 1.07536i | ||||
\(934\) | −4.62409 | − | 12.7046i | −0.151305 | − | 0.415707i | ||||
\(935\) | −9.15119 | − | 28.3691i | −0.299276 | − | 0.927768i | ||||
\(936\) | 1.47599 | + | 1.18245i | 0.0482443 | + | 0.0386495i | ||||
\(937\) | −2.94289 | + | 8.08551i | −0.0961399 | + | 0.264142i | −0.978435 | − | 0.206554i | \(-0.933775\pi\) |
0.882295 | + | 0.470696i | \(0.155997\pi\) | |||||||
\(938\) | −1.31220 | − | 2.27280i | −0.0428448 | − | 0.0742094i | ||||
\(939\) | −36.2320 | + | 37.0643i | −1.18239 | + | 1.20955i | ||||
\(940\) | 6.41662 | + | 5.80224i | 0.209287 | + | 0.189248i | ||||
\(941\) | −15.1564 | + | 12.7177i | −0.494083 | + | 0.414585i | −0.855487 | − | 0.517824i | \(-0.826742\pi\) |
0.361404 | + | 0.932409i | \(0.382298\pi\) | |||||||
\(942\) | 20.0765 | + | 19.6257i | 0.654129 | + | 0.639441i | ||||
\(943\) | 0.143792 | + | 0.249055i | 0.00468250 | + | 0.00811033i | ||||
\(944\) | 5.24185 | + | 1.90788i | 0.170608 | + | 0.0620961i | ||||
\(945\) | −10.7920 | − | 10.8562i | −0.351063 | − | 0.353152i | ||||
\(946\) | −18.8099 | + | 3.31670i | −0.611563 | + | 0.107835i | ||||
\(947\) | −51.2213 | + | 18.6430i | −1.66447 | + | 0.605817i | −0.991056 | − | 0.133448i | \(-0.957395\pi\) |
−0.673414 | + | 0.739266i | \(0.735173\pi\) | |||||||
\(948\) | −13.6607 | − | 19.0455i | −0.443678 | − | 0.618570i | ||||
\(949\) | 5.53353i | 0.179626i | ||||||||
\(950\) | −12.3791 | + | 17.9376i | −0.401630 | + | 0.581974i | ||||
\(951\) | −27.7695 | − | 7.10390i | −0.900488 | − | 0.230360i | ||||
\(952\) | −4.11328 | − | 3.45145i | −0.133312 | − | 0.111862i | ||||
\(953\) | −2.69864 | − | 7.41444i | −0.0874174 | − | 0.240177i | 0.888279 | − | 0.459304i | \(-0.151901\pi\) |
−0.975696 | + | 0.219127i | \(0.929679\pi\) | |||||||
\(954\) | 4.94639 | − | 14.6144i | 0.160145 | − | 0.473158i | ||||
\(955\) | −1.94102 | + | 52.3970i | −0.0628101 | + | 1.69553i | ||||
\(956\) | −6.45225 | + | 17.7274i | −0.208681 | + | 0.573345i | ||||
\(957\) | 12.3027 | + | 43.9136i | 0.397688 | + | 1.41952i | ||||
\(958\) | −3.43312 | + | 5.94633i | −0.110919 | + | 0.192117i | ||||
\(959\) | −14.2090 | − | 16.9336i | −0.458832 | − | 0.546814i | ||||
\(960\) | 3.22854 | − | 2.13928i | 0.104201 | − | 0.0690449i | ||||
\(961\) | −14.8126 | + | 25.6562i | −0.477826 | + | 0.827620i | ||||
\(962\) | 1.73186 | − | 0.999891i | 0.0558375 | − | 0.0322378i | ||||
\(963\) | 18.7019 | − | 16.4307i | 0.602661 | − | 0.529471i | ||||
\(964\) | −3.56372 | − | 0.628380i | −0.114780 | − | 0.0202387i | ||||
\(965\) | 37.2537 | − | 12.0171i | 1.19924 | − | 0.386846i | ||||
\(966\) | 0.0121667 | + | 0.122969i | 0.000391458 | + | 0.00395646i | ||||
\(967\) | −6.61765 | + | 7.88660i | −0.212809 | + | 0.253616i | −0.861880 | − | 0.507112i | \(-0.830713\pi\) |
0.649071 | + | 0.760728i | \(0.275158\pi\) | |||||||
\(968\) | 0.301465i | 0.00968946i | ||||||||
\(969\) | −12.8660 | + | 27.9513i | −0.413314 | + | 0.897925i | ||||
\(970\) | −32.8647 | + | 4.54778i | −1.05522 | + | 0.146020i | ||||
\(971\) | 19.9838 | + | 16.7684i | 0.641309 | + | 0.538122i | 0.904420 | − | 0.426643i | \(-0.140304\pi\) |
−0.263111 | + | 0.964766i | \(0.584748\pi\) | |||||||
\(972\) | 12.2414 | − | 9.65129i | 0.392644 | − | 0.309565i | ||||
\(973\) | −5.73215 | + | 1.01073i | −0.183764 | + | 0.0324026i | ||||
\(974\) | −20.3823 | − | 3.59395i | −0.653090 | − | 0.115157i | ||||
\(975\) | −1.74068 | + | 5.17457i | −0.0557464 | + | 0.165719i | ||||
\(976\) | −0.480469 | − | 0.832197i | −0.0153794 | − | 0.0266380i | ||||
\(977\) | 11.3486 | + | 6.55214i | 0.363075 | + | 0.209622i | 0.670429 | − | 0.741974i | \(-0.266110\pi\) |
−0.307354 | + | 0.951595i | \(0.599443\pi\) | |||||||
\(978\) | −17.7337 | − | 36.9295i | −0.567062 | − | 1.18087i | ||||
\(979\) | −30.2275 | − | 36.0237i | −0.966075 | − | 1.15132i | ||||
\(980\) | −10.9048 | − | 4.43273i | −0.348339 | − | 0.141598i | ||||
\(981\) | 42.2646 | − | 0.959913i | 1.34941 | − | 0.0306477i | ||||
\(982\) | 7.56282 | + | 2.75264i | 0.241339 | + | 0.0878403i | ||||
\(983\) | 34.9912 | + | 6.16990i | 1.11605 | + | 0.196789i | 0.701105 | − | 0.713058i | \(-0.252691\pi\) |
0.414943 | + | 0.909848i | \(0.363802\pi\) | |||||||
\(984\) | −0.697608 | + | 9.17198i | −0.0222389 | + | 0.292392i | ||||
\(985\) | −7.06201 | − | 13.3500i | −0.225014 | − | 0.425365i | ||||
\(986\) | 21.0884 | − | 25.1322i | 0.671593 | − | 0.800373i | ||||
\(987\) | −8.55294 | − | 2.18798i | −0.272243 | − | 0.0696442i | ||||
\(988\) | −0.0176075 | + | 2.74783i | −0.000560169 | + | 0.0874201i | ||||
\(989\) | − | 0.316215i | − | 0.0100550i | ||||||
\(990\) | −19.1571 | + | 10.6976i | −0.608854 | + | 0.339992i | ||||
\(991\) | −12.3305 | − | 33.8777i | −0.391690 | − | 1.07616i | −0.966230 | − | 0.257683i | \(-0.917041\pi\) |
0.574540 | − | 0.818477i | \(-0.305181\pi\) | |||||||
\(992\) | 0.203603 | + | 1.15469i | 0.00646439 | + | 0.0366614i | ||||
\(993\) | −0.423476 | + | 0.935741i | −0.0134386 | + | 0.0296949i | ||||
\(994\) | 1.13024 | + | 0.411375i | 0.0358491 | + | 0.0130480i | ||||
\(995\) | 4.67962 | − | 3.64016i | 0.148354 | − | 0.115401i | ||||
\(996\) | 9.46400 | + | 9.25150i | 0.299878 | + | 0.293145i | ||||
\(997\) | 30.1751 | + | 35.9613i | 0.955656 | + | 1.13891i | 0.990221 | + | 0.139504i | \(0.0445509\pi\) |
−0.0345652 | + | 0.999402i | \(0.511005\pi\) | |||||||
\(998\) | 10.1348 | + | 12.0782i | 0.320812 | + | 0.382329i | ||||
\(999\) | −4.80592 | − | 15.7671i | −0.152052 | − | 0.498848i |
(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 | 570.2.bf.a.269.31 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.7 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.10 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.34 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.34 | yes | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.10 | yes | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.7 | ✓ | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.31 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.7 | ✓ | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.89.10 | yes | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.89.31 | yes | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.89.34 | yes | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.269.7 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.269.10 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.31 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.269.34 | yes | 240 | 15.14 | odd | 2 | inner |