Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(11,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bh (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Character | \(\chi\) | \(=\) | 390.71 |
Dual form | 390.2.bh.c.11.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | −1.39472 | + | 1.02701i | −0.805244 | + | 0.592943i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.707107 | − | 0.707107i | −0.316228 | − | 0.316228i | ||||
\(6\) | 1.08139 | − | 1.35299i | 0.441476 | − | 0.552358i | ||||
\(7\) | −0.213554 | + | 0.796995i | −0.0807159 | + | 0.301236i | −0.994469 | − | 0.105035i | \(-0.966504\pi\) |
0.913753 | + | 0.406271i | \(0.133171\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.890511 | − | 2.86478i | 0.296837 | − | 0.954928i | ||||
\(10\) | 0.866025 | + | 0.500000i | 0.273861 | + | 0.158114i | ||||
\(11\) | −0.981698 | − | 3.66375i | −0.295993 | − | 1.10466i | −0.940426 | − | 0.340000i | \(-0.889573\pi\) |
0.644433 | − | 0.764661i | \(-0.277094\pi\) | |||||||
\(12\) | −0.694363 | + | 1.58678i | −0.200445 | + | 0.458063i | ||||
\(13\) | 3.42697 | + | 1.12067i | 0.950469 | + | 0.310819i | ||||
\(14\) | − | 0.825110i | − | 0.220520i | ||||||
\(15\) | 1.71242 | + | 0.260015i | 0.442146 | + | 0.0671356i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.49980 | + | 2.59772i | 0.363754 | + | 0.630040i | 0.988575 | − | 0.150727i | \(-0.0481616\pi\) |
−0.624822 | + | 0.780768i | \(0.714828\pi\) | |||||||
\(18\) | −0.118707 | + | 2.99765i | −0.0279795 | + | 0.706553i | ||||
\(19\) | 1.17350 | + | 0.314438i | 0.269219 | + | 0.0721370i | 0.390903 | − | 0.920432i | \(-0.372163\pi\) |
−0.121684 | + | 0.992569i | \(0.538829\pi\) | |||||||
\(20\) | −0.965926 | − | 0.258819i | −0.215988 | − | 0.0578737i | ||||
\(21\) | −0.520671 | − | 1.33091i | −0.113620 | − | 0.290428i | ||||
\(22\) | 1.89649 | + | 3.28482i | 0.404334 | + | 0.700327i | ||||
\(23\) | 1.76190 | − | 3.05169i | 0.367381 | − | 0.636322i | −0.621775 | − | 0.783196i | \(-0.713588\pi\) |
0.989155 | + | 0.146874i | \(0.0469213\pi\) | |||||||
\(24\) | 0.260015 | − | 1.71242i | 0.0530753 | − | 0.349547i | ||||
\(25\) | 1.00000i | 0.200000i | ||||||||
\(26\) | −3.60025 | − | 0.195522i | −0.706066 | − | 0.0383451i | ||||
\(27\) | 1.70014 | + | 4.91015i | 0.327192 | + | 0.944958i | ||||
\(28\) | 0.213554 | + | 0.796995i | 0.0403580 | + | 0.150618i | ||||
\(29\) | 6.48200 | + | 3.74239i | 1.20368 | + | 0.694943i | 0.961371 | − | 0.275256i | \(-0.0887627\pi\) |
0.242306 | + | 0.970200i | \(0.422096\pi\) | |||||||
\(30\) | −1.72137 | + | 0.192053i | −0.314278 | + | 0.0350638i | ||||
\(31\) | 0.00278407 | − | 0.00278407i | 0.000500034 | − | 0.000500034i | −0.706857 | − | 0.707357i | \(-0.749887\pi\) |
0.707357 | + | 0.706857i | \(0.249887\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 5.13189 | + | 4.10170i | 0.893348 | + | 0.714015i | ||||
\(34\) | −2.12103 | − | 2.12103i | −0.363754 | − | 0.363754i | ||||
\(35\) | 0.714566 | − | 0.412555i | 0.120784 | − | 0.0697345i | ||||
\(36\) | −0.661187 | − | 2.92623i | −0.110198 | − | 0.487705i | ||||
\(37\) | 10.9895 | − | 2.94462i | 1.80666 | − | 0.484093i | 0.811673 | − | 0.584112i | \(-0.198557\pi\) |
0.994985 | + | 0.100020i | \(0.0318906\pi\) | |||||||
\(38\) | −1.21489 | −0.197082 | ||||||||
\(39\) | −5.93061 | + | 1.95649i | −0.949658 | + | 0.313289i | ||||
\(40\) | 1.00000 | 0.158114 | ||||||||
\(41\) | 4.61510 | − | 1.23661i | 0.720757 | − | 0.193126i | 0.120247 | − | 0.992744i | \(-0.461631\pi\) |
0.600509 | + | 0.799618i | \(0.294965\pi\) | |||||||
\(42\) | 0.847394 | + | 1.15080i | 0.130756 | + | 0.177572i | ||||
\(43\) | 3.40698 | − | 1.96702i | 0.519560 | − | 0.299968i | −0.217195 | − | 0.976128i | \(-0.569691\pi\) |
0.736755 | + | 0.676160i | \(0.236357\pi\) | |||||||
\(44\) | −2.68205 | − | 2.68205i | −0.404334 | − | 0.404334i | ||||
\(45\) | −2.65539 | + | 1.39602i | −0.395843 | + | 0.208107i | ||||
\(46\) | −0.912024 | + | 3.40372i | −0.134471 | + | 0.501851i | ||||
\(47\) | −7.01463 | + | 7.01463i | −1.02319 | + | 1.02319i | −0.0234640 | + | 0.999725i | \(0.507470\pi\) |
−0.999725 | + | 0.0234640i | \(0.992530\pi\) | |||||||
\(48\) | 0.192053 | + | 1.72137i | 0.0277204 | + | 0.248458i | ||||
\(49\) | 5.47258 | + | 3.15960i | 0.781797 | + | 0.451371i | ||||
\(50\) | −0.258819 | − | 0.965926i | −0.0366025 | − | 0.136603i | ||||
\(51\) | −4.75968 | − | 2.08280i | −0.666489 | − | 0.291651i | ||||
\(52\) | 3.52818 | − | 0.742952i | 0.489270 | − | 0.103029i | ||||
\(53\) | 4.90674i | 0.673992i | 0.941506 | + | 0.336996i | \(0.109411\pi\) | ||||
−0.941506 | + | 0.336996i | \(0.890589\pi\) | |||||||
\(54\) | −2.91305 | − | 4.30281i | −0.396415 | − | 0.585538i | ||||
\(55\) | −1.89649 | + | 3.28482i | −0.255723 | + | 0.442926i | ||||
\(56\) | −0.412555 | − | 0.714566i | −0.0551300 | − | 0.0954880i | ||||
\(57\) | −1.95964 | + | 0.766637i | −0.259560 | + | 0.101544i | ||||
\(58\) | −7.22973 | − | 1.93720i | −0.949310 | − | 0.254367i | ||||
\(59\) | 4.67330 | + | 1.25221i | 0.608412 | + | 0.163024i | 0.549854 | − | 0.835261i | \(-0.314683\pi\) |
0.0585576 | + | 0.998284i | \(0.481350\pi\) | |||||||
\(60\) | 1.61301 | − | 0.631032i | 0.208239 | − | 0.0814659i | ||||
\(61\) | −6.87481 | − | 11.9075i | −0.880230 | − | 1.52460i | −0.851085 | − | 0.525027i | \(-0.824055\pi\) |
−0.0291445 | − | 0.999575i | \(-0.509278\pi\) | |||||||
\(62\) | −0.00196864 | + | 0.00340978i | −0.000250017 | + | 0.000433042i | ||||
\(63\) | 2.09305 | + | 1.32152i | 0.263699 | + | 0.166496i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −1.63080 | − | 3.21567i | −0.202275 | − | 0.398854i | ||||
\(66\) | −6.01863 | − | 2.63371i | −0.740842 | − | 0.324187i | ||||
\(67\) | −3.00389 | − | 11.2107i | −0.366984 | − | 1.36960i | −0.864711 | − | 0.502269i | \(-0.832499\pi\) |
0.497727 | − | 0.867334i | \(-0.334168\pi\) | |||||||
\(68\) | 2.59772 | + | 1.49980i | 0.315020 | + | 0.181877i | ||||
\(69\) | 0.676753 | + | 6.06575i | 0.0814715 | + | 0.730230i | ||||
\(70\) | −0.583441 | + | 0.583441i | −0.0697345 | + | 0.0697345i | ||||
\(71\) | 1.52747 | − | 5.70060i | 0.181277 | − | 0.676537i | −0.814119 | − | 0.580698i | \(-0.802780\pi\) |
0.995397 | − | 0.0958392i | \(-0.0305535\pi\) | |||||||
\(72\) | 1.39602 | + | 2.65539i | 0.164523 | + | 0.312941i | ||||
\(73\) | −8.49044 | − | 8.49044i | −0.993730 | − | 0.993730i | 0.00625000 | − | 0.999980i | \(-0.498011\pi\) |
−0.999980 | + | 0.00625000i | \(0.998011\pi\) | |||||||
\(74\) | −9.85289 | + | 5.68857i | −1.14538 | + | 0.661283i | ||||
\(75\) | −1.02701 | − | 1.39472i | −0.118589 | − | 0.161049i | ||||
\(76\) | 1.17350 | − | 0.314438i | 0.134609 | − | 0.0360685i | ||||
\(77\) | 3.12963 | 0.356655 | ||||||||
\(78\) | 5.22215 | − | 3.42478i | 0.591292 | − | 0.387780i | ||||
\(79\) | 5.90955 | 0.664877 | 0.332438 | − | 0.943125i | \(-0.392129\pi\) | ||||
0.332438 | + | 0.943125i | \(0.392129\pi\) | |||||||
\(80\) | −0.965926 | + | 0.258819i | −0.107994 | + | 0.0289368i | ||||
\(81\) | −7.41398 | − | 5.10224i | −0.823776 | − | 0.566916i | ||||
\(82\) | −4.13778 | + | 2.38895i | −0.456942 | + | 0.263815i | ||||
\(83\) | −5.36244 | − | 5.36244i | −0.588605 | − | 0.588605i | 0.348649 | − | 0.937253i | \(-0.386641\pi\) |
−0.937253 | + | 0.348649i | \(0.886641\pi\) | |||||||
\(84\) | −1.11637 | − | 0.892267i | −0.121806 | − | 0.0973543i | ||||
\(85\) | 0.776351 | − | 2.89738i | 0.0842071 | − | 0.314265i | ||||
\(86\) | −2.78179 | + | 2.78179i | −0.299968 | + | 0.299968i | ||||
\(87\) | −12.8841 | + | 1.43747i | −1.38132 | + | 0.154113i | ||||
\(88\) | 3.28482 | + | 1.89649i | 0.350163 | + | 0.202167i | ||||
\(89\) | 1.85846 | + | 6.93588i | 0.196997 | + | 0.735202i | 0.991741 | + | 0.128257i | \(0.0409384\pi\) |
−0.794744 | + | 0.606945i | \(0.792395\pi\) | |||||||
\(90\) | 2.20360 | − | 2.03572i | 0.232280 | − | 0.214584i | ||||
\(91\) | −1.62501 | + | 2.49195i | −0.170348 | + | 0.261227i | ||||
\(92\) | − | 3.52379i | − | 0.367381i | ||||||
\(93\) | −0.00102375 | + | 0.00674227i | −0.000106158 | + | 0.000699141i | ||||
\(94\) | 4.96009 | − | 8.59113i | 0.511594 | − | 0.886107i | ||||
\(95\) | −0.607447 | − | 1.05213i | −0.0623228 | − | 0.107946i | ||||
\(96\) | −0.631032 | − | 1.61301i | −0.0644044 | − | 0.164627i | ||||
\(97\) | −7.65690 | − | 2.05166i | −0.777440 | − | 0.208314i | −0.151784 | − | 0.988414i | \(-0.548502\pi\) |
−0.625656 | + | 0.780099i | \(0.715169\pi\) | |||||||
\(98\) | −6.10387 | − | 1.63553i | −0.616584 | − | 0.165213i | ||||
\(99\) | −11.3701 | − | 0.450254i | −1.14273 | − | 0.0452522i | ||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | 7.69191 | − | 13.3228i | 0.765374 | − | 1.32567i | −0.174675 | − | 0.984626i | \(-0.555887\pi\) |
0.940049 | − | 0.341041i | \(-0.110779\pi\) | |||||||
\(102\) | 5.13657 | + | 0.779939i | 0.508596 | + | 0.0772254i | ||||
\(103\) | 16.3952i | 1.61547i | 0.589548 | + | 0.807733i | \(0.299306\pi\) | ||||
−0.589548 | + | 0.807733i | \(0.700694\pi\) | |||||||
\(104\) | −3.21567 | + | 1.63080i | −0.315322 | + | 0.159913i | ||||
\(105\) | −0.572926 | + | 1.30927i | −0.0559118 | + | 0.127771i | ||||
\(106\) | −1.26996 | − | 4.73954i | −0.123349 | − | 0.460345i | ||||
\(107\) | −0.677545 | − | 0.391181i | −0.0655008 | − | 0.0378169i | 0.466892 | − | 0.884314i | \(-0.345374\pi\) |
−0.532393 | + | 0.846497i | \(0.678707\pi\) | |||||||
\(108\) | 3.92744 | + | 3.40224i | 0.377918 | + | 0.327381i | ||||
\(109\) | −0.503685 | + | 0.503685i | −0.0482443 | + | 0.0482443i | −0.730817 | − | 0.682573i | \(-0.760861\pi\) |
0.682573 | + | 0.730817i | \(0.260861\pi\) | |||||||
\(110\) | 0.981698 | − | 3.66375i | 0.0936012 | − | 0.349324i | ||||
\(111\) | −12.3031 | + | 15.3932i | −1.16776 | + | 1.46106i | ||||
\(112\) | 0.583441 | + | 0.583441i | 0.0551300 | + | 0.0551300i | ||||
\(113\) | −5.41625 | + | 3.12708i | −0.509518 | + | 0.294170i | −0.732636 | − | 0.680621i | \(-0.761710\pi\) |
0.223117 | + | 0.974792i | \(0.428377\pi\) | |||||||
\(114\) | 1.69444 | − | 1.24771i | 0.158699 | − | 0.116858i | ||||
\(115\) | −3.40372 | + | 0.912024i | −0.317399 | + | 0.0850467i | ||||
\(116\) | 7.48477 | 0.694943 | ||||||||
\(117\) | 6.26224 | − | 8.81955i | 0.578944 | − | 0.815367i | ||||
\(118\) | −4.83816 | −0.445389 | ||||||||
\(119\) | −2.39066 | + | 0.640575i | −0.219151 | + | 0.0587215i | ||||
\(120\) | −1.39472 | + | 1.02701i | −0.127320 | + | 0.0937525i | ||||
\(121\) | −2.93302 | + | 1.69338i | −0.266638 | + | 0.153944i | ||||
\(122\) | 9.72246 | + | 9.72246i | 0.880230 | + | 0.880230i | ||||
\(123\) | −5.16678 | + | 6.46447i | −0.465873 | + | 0.582882i | ||||
\(124\) | 0.00101904 | − | 0.00380311i | 9.15126e−5 | − | 0.000341530i | ||||
\(125\) | 0.707107 | − | 0.707107i | 0.0632456 | − | 0.0632456i | ||||
\(126\) | −2.36376 | − | 0.734770i | −0.210581 | − | 0.0654585i | ||||
\(127\) | 0.683797 | + | 0.394790i | 0.0606771 | + | 0.0350320i | 0.530032 | − | 0.847978i | \(-0.322180\pi\) |
−0.469355 | + | 0.883010i | \(0.655513\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | −2.73165 | + | 6.24245i | −0.240509 | + | 0.549617i | ||||
\(130\) | 2.40750 | + | 2.68401i | 0.211152 | + | 0.235404i | ||||
\(131\) | 0.615603i | 0.0537854i | 0.999638 | + | 0.0268927i | \(0.00856125\pi\) | ||||
−0.999638 | + | 0.0268927i | \(0.991439\pi\) | |||||||
\(132\) | 6.49520 | + | 0.986234i | 0.565335 | + | 0.0858406i | ||||
\(133\) | −0.501211 | + | 0.868123i | −0.0434605 | + | 0.0752758i | ||||
\(134\) | 5.80308 | + | 10.0512i | 0.501309 | + | 0.868293i | ||||
\(135\) | 2.26982 | − | 4.67418i | 0.195355 | − | 0.402289i | ||||
\(136\) | −2.89738 | − | 0.776351i | −0.248448 | − | 0.0665716i | ||||
\(137\) | 10.3607 | + | 2.77613i | 0.885172 | + | 0.237181i | 0.672637 | − | 0.739973i | \(-0.265162\pi\) |
0.212534 | + | 0.977154i | \(0.431828\pi\) | |||||||
\(138\) | −2.22362 | − | 5.68391i | −0.189287 | − | 0.483846i | ||||
\(139\) | 11.5899 | + | 20.0743i | 0.983042 | + | 1.70268i | 0.650331 | + | 0.759651i | \(0.274630\pi\) |
0.332711 | + | 0.943029i | \(0.392037\pi\) | |||||||
\(140\) | 0.412555 | − | 0.714566i | 0.0348673 | − | 0.0603919i | ||||
\(141\) | 2.57940 | − | 16.9875i | 0.217224 | − | 1.43061i | ||||
\(142\) | 5.90170i | 0.495259i | ||||||||
\(143\) | 0.741614 | − | 13.6557i | 0.0620168 | − | 1.14195i | ||||
\(144\) | −2.03572 | − | 2.20360i | −0.169643 | − | 0.183633i | ||||
\(145\) | −1.93720 | − | 7.22973i | −0.160876 | − | 0.600397i | ||||
\(146\) | 10.3986 | + | 6.00365i | 0.860596 | + | 0.496865i | ||||
\(147\) | −10.8777 | + | 1.21362i | −0.897175 | + | 0.100097i | ||||
\(148\) | 8.04485 | − | 8.04485i | 0.661283 | − | 0.661283i | ||||
\(149\) | 1.19718 | − | 4.46795i | 0.0980772 | − | 0.366029i | −0.899391 | − | 0.437145i | \(-0.855990\pi\) |
0.997468 | + | 0.0711164i | \(0.0226562\pi\) | |||||||
\(150\) | 1.35299 | + | 1.08139i | 0.110472 | + | 0.0882952i | ||||
\(151\) | −5.26555 | − | 5.26555i | −0.428504 | − | 0.428504i | 0.459614 | − | 0.888119i | \(-0.347988\pi\) |
−0.888119 | + | 0.459614i | \(0.847988\pi\) | |||||||
\(152\) | −1.05213 | + | 0.607447i | −0.0853390 | + | 0.0492705i | ||||
\(153\) | 8.77750 | − | 1.98329i | 0.709619 | − | 0.160340i | ||||
\(154\) | −3.02299 | + | 0.810009i | −0.243600 | + | 0.0652724i | ||||
\(155\) | −0.00393727 | −0.000316249 | ||||||||
\(156\) | −4.15781 | + | 4.65968i | −0.332892 | + | 0.373073i | ||||
\(157\) | 4.36770 | 0.348580 | 0.174290 | − | 0.984694i | \(-0.444237\pi\) | ||||
0.174290 | + | 0.984694i | \(0.444237\pi\) | |||||||
\(158\) | −5.70819 | + | 1.52950i | −0.454119 | + | 0.121681i | ||||
\(159\) | −5.03925 | − | 6.84354i | −0.399639 | − | 0.542728i | ||||
\(160\) | 0.866025 | − | 0.500000i | 0.0684653 | − | 0.0395285i | ||||
\(161\) | 2.05592 | + | 2.05592i | 0.162030 | + | 0.162030i | ||||
\(162\) | 8.48191 | + | 3.00951i | 0.666402 | + | 0.236450i | ||||
\(163\) | 1.31903 | − | 4.92267i | 0.103314 | − | 0.385574i | −0.894834 | − | 0.446398i | \(-0.852706\pi\) |
0.998148 | + | 0.0608248i | \(0.0193731\pi\) | |||||||
\(164\) | 3.37848 | − | 3.37848i | 0.263815 | − | 0.263815i | ||||
\(165\) | −0.728453 | − | 6.52914i | −0.0567100 | − | 0.508293i | ||||
\(166\) | 6.56762 | + | 3.79182i | 0.509747 | + | 0.294302i | ||||
\(167\) | 2.38628 | + | 8.90571i | 0.184656 | + | 0.689144i | 0.994704 | + | 0.102781i | \(0.0327742\pi\) |
−0.810048 | + | 0.586363i | \(0.800559\pi\) | |||||||
\(168\) | 1.30927 | + | 0.572926i | 0.101012 | + | 0.0442022i | ||||
\(169\) | 10.4882 | + | 7.68101i | 0.806784 | + | 0.590847i | ||||
\(170\) | 2.99959i | 0.230058i | ||||||||
\(171\) | 1.94581 | − | 3.08181i | 0.148800 | − | 0.235672i | ||||
\(172\) | 1.96702 | − | 3.40698i | 0.149984 | − | 0.259780i | ||||
\(173\) | −2.74926 | − | 4.76186i | −0.209023 | − | 0.362038i | 0.742384 | − | 0.669974i | \(-0.233695\pi\) |
−0.951407 | + | 0.307937i | \(0.900362\pi\) | |||||||
\(174\) | 12.0730 | − | 4.72313i | 0.915252 | − | 0.358059i | ||||
\(175\) | −0.796995 | − | 0.213554i | −0.0602472 | − | 0.0161432i | ||||
\(176\) | −3.66375 | − | 0.981698i | −0.276165 | − | 0.0739982i | ||||
\(177\) | −7.80399 | + | 3.05303i | −0.586584 | + | 0.229480i | ||||
\(178\) | −3.59028 | − | 6.21854i | −0.269103 | − | 0.466100i | ||||
\(179\) | −2.40507 | + | 4.16571i | −0.179764 | + | 0.311360i | −0.941800 | − | 0.336175i | \(-0.890867\pi\) |
0.762036 | + | 0.647535i | \(0.224200\pi\) | |||||||
\(180\) | −1.60163 | + | 2.53669i | −0.119378 | + | 0.189074i | ||||
\(181\) | 9.68726i | 0.720048i | 0.932943 | + | 0.360024i | \(0.117232\pi\) | ||||
−0.932943 | + | 0.360024i | \(0.882768\pi\) | |||||||
\(182\) | 0.924678 | − | 2.82762i | 0.0685417 | − | 0.209597i | ||||
\(183\) | 21.8176 | + | 9.54723i | 1.61280 | + | 0.705752i | ||||
\(184\) | 0.912024 | + | 3.40372i | 0.0672353 | + | 0.250926i | ||||
\(185\) | −9.85289 | − | 5.68857i | −0.724399 | − | 0.418232i | ||||
\(186\) | −0.000756163 | − | 0.00677750i | −5.54446e−5 | − | 0.000496951i | ||||
\(187\) | 8.04505 | − | 8.04505i | 0.588312 | − | 0.588312i | ||||
\(188\) | −2.56753 | + | 9.58216i | −0.187257 | + | 0.698851i | ||||
\(189\) | −4.27643 | + | 0.306419i | −0.311065 | + | 0.0222887i | ||||
\(190\) | 0.859060 | + | 0.859060i | 0.0623228 | + | 0.0623228i | ||||
\(191\) | 4.55237 | − | 2.62831i | 0.329398 | − | 0.190178i | −0.326176 | − | 0.945309i | \(-0.605760\pi\) |
0.655574 | + | 0.755131i | \(0.272427\pi\) | |||||||
\(192\) | 1.02701 | + | 1.39472i | 0.0741179 | + | 0.100656i | ||||
\(193\) | −0.170227 | + | 0.0456122i | −0.0122532 | + | 0.00328324i | −0.264940 | − | 0.964265i | \(-0.585352\pi\) |
0.252687 | + | 0.967548i | \(0.418686\pi\) | |||||||
\(194\) | 7.92700 | 0.569126 | ||||||||
\(195\) | 5.57702 | + | 2.81013i | 0.399379 | + | 0.201237i | ||||
\(196\) | 6.31919 | 0.451371 | ||||||||
\(197\) | 7.06564 | − | 1.89323i | 0.503406 | − | 0.134887i | 0.00182570 | − | 0.999998i | \(-0.499419\pi\) |
0.501580 | + | 0.865111i | \(0.332752\pi\) | |||||||
\(198\) | 11.0992 | − | 2.50787i | 0.788783 | − | 0.178227i | ||||
\(199\) | −16.9120 | + | 9.76412i | −1.19886 | + | 0.692160i | −0.960300 | − | 0.278969i | \(-0.910007\pi\) |
−0.238556 | + | 0.971129i | \(0.576674\pi\) | |||||||
\(200\) | −0.707107 | − | 0.707107i | −0.0500000 | − | 0.0500000i | ||||
\(201\) | 15.7031 | + | 12.5508i | 1.10761 | + | 0.885264i | ||||
\(202\) | −3.98163 | + | 14.8596i | −0.280146 | + | 1.04552i | ||||
\(203\) | −4.36692 | + | 4.36692i | −0.306498 | + | 0.306498i | ||||
\(204\) | −5.16341 | + | 0.576079i | −0.361511 | + | 0.0403336i | ||||
\(205\) | −4.13778 | − | 2.38895i | −0.288995 | − | 0.166851i | ||||
\(206\) | −4.24339 | − | 15.8365i | −0.295651 | − | 1.10338i | ||||
\(207\) | −7.17345 | − | 7.76502i | −0.498589 | − | 0.539706i | ||||
\(208\) | 2.68401 | − | 2.40750i | 0.186103 | − | 0.166930i | ||||
\(209\) | − | 4.60808i | − | 0.318748i | ||||||
\(210\) | 0.214541 | − | 1.41294i | 0.0148047 | − | 0.0975020i | ||||
\(211\) | −3.04589 | + | 5.27563i | −0.209688 | + | 0.363189i | −0.951616 | − | 0.307289i | \(-0.900578\pi\) |
0.741929 | + | 0.670479i | \(0.233911\pi\) | |||||||
\(212\) | 2.45337 | + | 4.24936i | 0.168498 | + | 0.291847i | ||||
\(213\) | 3.72416 | + | 9.51949i | 0.255175 | + | 0.652265i | ||||
\(214\) | 0.755704 | + | 0.202490i | 0.0516588 | + | 0.0138419i | ||||
\(215\) | −3.79999 | − | 1.01821i | −0.259157 | − | 0.0694410i | ||||
\(216\) | −4.67418 | − | 2.26982i | −0.318037 | − | 0.154442i | ||||
\(217\) | 0.00162434 | + | 0.00281344i | 0.000110267 | + | 0.000190989i | ||||
\(218\) | 0.356159 | − | 0.616886i | 0.0241221 | − | 0.0417808i | ||||
\(219\) | 20.5616 | + | 3.12208i | 1.38942 | + | 0.210970i | ||||
\(220\) | 3.79299i | 0.255723i | ||||||||
\(221\) | 2.22855 | + | 10.5831i | 0.149909 | + | 0.711895i | ||||
\(222\) | 7.89986 | − | 18.0530i | 0.530204 | − | 1.21164i | ||||
\(223\) | −2.15128 | − | 8.02867i | −0.144060 | − | 0.537640i | −0.999795 | − | 0.0202258i | \(-0.993561\pi\) |
0.855735 | − | 0.517414i | \(-0.173105\pi\) | |||||||
\(224\) | −0.714566 | − | 0.412555i | −0.0477440 | − | 0.0275650i | ||||
\(225\) | 2.86478 | + | 0.890511i | 0.190986 | + | 0.0593674i | ||||
\(226\) | 4.42235 | − | 4.42235i | 0.294170 | − | 0.294170i | ||||
\(227\) | 5.28248 | − | 19.7145i | 0.350611 | − | 1.30850i | −0.535309 | − | 0.844657i | \(-0.679805\pi\) |
0.885919 | − | 0.463840i | \(-0.153529\pi\) | |||||||
\(228\) | −1.31378 | + | 1.64375i | −0.0870070 | + | 0.108860i | ||||
\(229\) | −0.725435 | − | 0.725435i | −0.0479381 | − | 0.0479381i | 0.682731 | − | 0.730669i | \(-0.260792\pi\) |
−0.730669 | + | 0.682731i | \(0.760792\pi\) | |||||||
\(230\) | 3.05169 | − | 1.76190i | 0.201223 | − | 0.116176i | ||||
\(231\) | −4.36498 | + | 3.21416i | −0.287194 | + | 0.211476i | ||||
\(232\) | −7.22973 | + | 1.93720i | −0.474655 | + | 0.127183i | ||||
\(233\) | −11.6818 | −0.765300 | −0.382650 | − | 0.923893i | \(-0.624988\pi\) | ||||
−0.382650 | + | 0.923893i | \(0.624988\pi\) | |||||||
\(234\) | −3.76619 | + | 10.1398i | −0.246203 | + | 0.662860i | ||||
\(235\) | 9.92018 | 0.647121 | ||||||||
\(236\) | 4.67330 | − | 1.25221i | 0.304206 | − | 0.0815118i | ||||
\(237\) | −8.24220 | + | 6.06916i | −0.535388 | + | 0.394234i | ||||
\(238\) | 2.14341 | − | 1.23750i | 0.138936 | − | 0.0802150i | ||||
\(239\) | −14.3879 | − | 14.3879i | −0.930674 | − | 0.930674i | 0.0670742 | − | 0.997748i | \(-0.478634\pi\) |
−0.997748 | + | 0.0670742i | \(0.978634\pi\) | |||||||
\(240\) | 1.08139 | − | 1.35299i | 0.0698035 | − | 0.0873354i | ||||
\(241\) | −4.66870 | + | 17.4238i | −0.300738 | + | 1.12237i | 0.635815 | + | 0.771841i | \(0.280664\pi\) |
−0.936553 | + | 0.350527i | \(0.886003\pi\) | |||||||
\(242\) | 2.39480 | − | 2.39480i | 0.153944 | − | 0.153944i | ||||
\(243\) | 15.5805 | − | 0.497989i | 0.999490 | − | 0.0319460i | ||||
\(244\) | −11.9075 | − | 6.87481i | −0.762301 | − | 0.440115i | ||||
\(245\) | −1.63553 | − | 6.10387i | −0.104490 | − | 0.389962i | ||||
\(246\) | 3.31760 | − | 7.58146i | 0.211522 | − | 0.483376i | ||||
\(247\) | 3.66916 | + | 2.39267i | 0.233463 | + | 0.152242i | ||||
\(248\) | 0.00393727i | 0.000250017i | ||||||||
\(249\) | 12.9864 | + | 1.97186i | 0.822980 | + | 0.124962i | ||||
\(250\) | −0.500000 | + | 0.866025i | −0.0316228 | + | 0.0547723i | ||||
\(251\) | 14.7378 | + | 25.5266i | 0.930242 | + | 1.61123i | 0.782906 | + | 0.622139i | \(0.213736\pi\) |
0.147335 | + | 0.989087i | \(0.452930\pi\) | |||||||
\(252\) | 2.47339 | + | 0.0979463i | 0.155809 | + | 0.00617004i | ||||
\(253\) | −12.9103 | − | 3.45930i | −0.811662 | − | 0.217484i | ||||
\(254\) | −0.762676 | − | 0.204358i | −0.0478546 | − | 0.0128226i | ||||
\(255\) | 1.89284 | + | 4.83837i | 0.118534 | + | 0.302990i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.45733 | + | 11.1844i | −0.402797 | + | 0.697665i | −0.994062 | − | 0.108812i | \(-0.965295\pi\) |
0.591265 | + | 0.806477i | \(0.298629\pi\) | |||||||
\(258\) | 1.02291 | − | 6.73675i | 0.0636836 | − | 0.419411i | ||||
\(259\) | 9.38739i | 0.583304i | ||||||||
\(260\) | −3.02014 | − | 1.96945i | −0.187301 | − | 0.122140i | ||||
\(261\) | 16.4934 | − | 15.2369i | 1.02092 | − | 0.943140i | ||||
\(262\) | −0.159330 | − | 0.594626i | −0.00984342 | − | 0.0367361i | ||||
\(263\) | −23.8997 | − | 13.7985i | −1.47372 | − | 0.850850i | −0.474154 | − | 0.880442i | \(-0.657246\pi\) |
−0.999562 | + | 0.0295919i | \(0.990579\pi\) | |||||||
\(264\) | −6.52914 | + | 0.728453i | −0.401841 | + | 0.0448332i | ||||
\(265\) | 3.46959 | − | 3.46959i | 0.213135 | − | 0.213135i | ||||
\(266\) | 0.259446 | − | 0.968265i | 0.0159077 | − | 0.0593682i | ||||
\(267\) | −9.71525 | − | 7.76499i | −0.594564 | − | 0.475210i | ||||
\(268\) | −8.20679 | − | 8.20679i | −0.501309 | − | 0.501309i | ||||
\(269\) | 18.1139 | − | 10.4581i | 1.10442 | − | 0.637639i | 0.167044 | − | 0.985949i | \(-0.446578\pi\) |
0.937379 | + | 0.348310i | \(0.113244\pi\) | |||||||
\(270\) | −0.982710 | + | 5.10238i | −0.0598058 | + | 0.310521i | ||||
\(271\) | −15.0716 | + | 4.03842i | −0.915534 | + | 0.245316i | −0.685675 | − | 0.727908i | \(-0.740493\pi\) |
−0.229858 | + | 0.973224i | \(0.573826\pi\) | |||||||
\(272\) | 2.99959 | 0.181877 | ||||||||
\(273\) | −0.292807 | − | 5.14449i | −0.0177215 | − | 0.311358i | ||||
\(274\) | −10.7262 | −0.647991 | ||||||||
\(275\) | 3.66375 | − | 0.981698i | 0.220932 | − | 0.0591986i | ||||
\(276\) | 3.61896 | + | 4.91472i | 0.217836 | + | 0.295831i | ||||
\(277\) | −21.0524 | + | 12.1546i | −1.26492 | + | 0.730301i | −0.974022 | − | 0.226453i | \(-0.927287\pi\) |
−0.290897 | + | 0.956754i | \(0.593954\pi\) | |||||||
\(278\) | −16.3906 | − | 16.3906i | −0.983042 | − | 0.983042i | ||||
\(279\) | −0.00549652 | − | 0.0104550i | −0.000329068 | − | 0.000625925i | ||||
\(280\) | −0.213554 | + | 0.796995i | −0.0127623 | + | 0.0476296i | ||||
\(281\) | −16.7143 | + | 16.7143i | −0.997090 | + | 0.997090i | −0.999996 | − | 0.00290627i | \(-0.999075\pi\) |
0.00290627 | + | 0.999996i | \(0.499075\pi\) | |||||||
\(282\) | 1.90520 | + | 17.0763i | 0.113453 | + | 1.01688i | ||||
\(283\) | 19.5493 | + | 11.2868i | 1.16208 | + | 0.670930i | 0.951803 | − | 0.306711i | \(-0.0992285\pi\) |
0.210282 | + | 0.977641i | \(0.432562\pi\) | |||||||
\(284\) | −1.52747 | − | 5.70060i | −0.0906387 | − | 0.338268i | ||||
\(285\) | 1.92777 | + | 0.843578i | 0.114191 | + | 0.0499692i | ||||
\(286\) | 2.81801 | + | 13.3823i | 0.166632 | + | 0.791314i | ||||
\(287\) | 3.94229i | 0.232706i | ||||||||
\(288\) | 2.53669 | + | 1.60163i | 0.149476 | + | 0.0943769i | ||||
\(289\) | 4.00123 | − | 6.93033i | 0.235366 | − | 0.407666i | ||||
\(290\) | 3.74239 | + | 6.48200i | 0.219760 | + | 0.380636i | ||||
\(291\) | 12.7863 | − | 5.00219i | 0.749548 | − | 0.293234i | ||||
\(292\) | −11.5982 | − | 3.10772i | −0.678731 | − | 0.181865i | ||||
\(293\) | 27.9435 | + | 7.48743i | 1.63247 | + | 0.437420i | 0.954632 | − | 0.297787i | \(-0.0962484\pi\) |
0.677843 | + | 0.735207i | \(0.262915\pi\) | |||||||
\(294\) | 10.1929 | − | 3.98761i | 0.594463 | − | 0.232562i | ||||
\(295\) | −2.41908 | − | 4.18997i | −0.140844 | − | 0.243949i | ||||
\(296\) | −5.68857 | + | 9.85289i | −0.330641 | + | 0.572688i | ||||
\(297\) | 16.3205 | − | 11.0492i | 0.947012 | − | 0.641137i | ||||
\(298\) | 4.62556i | 0.267952i | ||||||||
\(299\) | 9.45790 | − | 8.48354i | 0.546965 | − | 0.490616i | ||||
\(300\) | −1.58678 | − | 0.694363i | −0.0916126 | − | 0.0400891i | ||||
\(301\) | 0.840132 | + | 3.13541i | 0.0484244 | + | 0.180722i | ||||
\(302\) | 6.44895 | + | 3.72330i | 0.371095 | + | 0.214252i | ||||
\(303\) | 2.95450 | + | 26.4813i | 0.169732 | + | 1.52131i | ||||
\(304\) | 0.859060 | − | 0.859060i | 0.0492705 | − | 0.0492705i | ||||
\(305\) | −3.55867 | + | 13.2811i | −0.203769 | + | 0.760475i | ||||
\(306\) | −7.96510 | + | 4.18750i | −0.455334 | + | 0.239383i | ||||
\(307\) | −5.27808 | − | 5.27808i | −0.301236 | − | 0.301236i | 0.540261 | − | 0.841497i | \(-0.318325\pi\) |
−0.841497 | + | 0.540261i | \(0.818325\pi\) | |||||||
\(308\) | 2.71034 | − | 1.56482i | 0.154436 | − | 0.0891637i | ||||
\(309\) | −16.8380 | − | 22.8668i | −0.957880 | − | 1.30085i | ||||
\(310\) | 0.00380311 | − | 0.00101904i | 0.000216002 | − | 5.78776e-5i | ||||
\(311\) | 17.2916 | 0.980516 | 0.490258 | − | 0.871577i | \(-0.336903\pi\) | ||||
0.490258 | + | 0.871577i | \(0.336903\pi\) | |||||||
\(312\) | 2.81013 | − | 5.57702i | 0.159092 | − | 0.315737i | ||||
\(313\) | −3.71423 | −0.209941 | −0.104970 | − | 0.994475i | \(-0.533475\pi\) | ||||
−0.104970 | + | 0.994475i | \(0.533475\pi\) | |||||||
\(314\) | −4.21887 | + | 1.13044i | −0.238085 | + | 0.0637946i | ||||
\(315\) | −0.545552 | − | 2.41446i | −0.0307384 | − | 0.136040i | ||||
\(316\) | 5.11782 | − | 2.95478i | 0.287900 | − | 0.166219i | ||||
\(317\) | −11.8820 | − | 11.8820i | −0.667358 | − | 0.667358i | 0.289746 | − | 0.957104i | \(-0.406429\pi\) |
−0.957104 | + | 0.289746i | \(0.906429\pi\) | |||||||
\(318\) | 6.63879 | + | 5.30610i | 0.372285 | + | 0.297551i | ||||
\(319\) | 7.34778 | − | 27.4223i | 0.411397 | − | 1.53535i | ||||
\(320\) | −0.707107 | + | 0.707107i | −0.0395285 | + | 0.0395285i | ||||
\(321\) | 1.34673 | − | 0.150255i | 0.0751674 | − | 0.00838639i | ||||
\(322\) | −2.51798 | − | 1.45376i | −0.140322 | − | 0.0810148i | ||||
\(323\) | 0.943185 | + | 3.52001i | 0.0524802 | + | 0.195859i | ||||
\(324\) | −8.97182 | − | 0.711684i | −0.498434 | − | 0.0395380i | ||||
\(325\) | −1.12067 | + | 3.42697i | −0.0621637 | + | 0.190094i | ||||
\(326\) | 5.09633i | 0.282259i | ||||||||
\(327\) | 0.185213 | − | 1.21979i | 0.0102423 | − | 0.0674545i | ||||
\(328\) | −2.38895 | + | 4.13778i | −0.131908 | + | 0.228471i | ||||
\(329\) | −4.09262 | − | 7.08863i | −0.225634 | − | 0.390809i | ||||
\(330\) | 2.39350 | + | 6.11813i | 0.131758 | + | 0.336792i | ||||
\(331\) | −18.7857 | − | 5.03361i | −1.03256 | − | 0.276672i | −0.297531 | − | 0.954712i | \(-0.596163\pi\) |
−0.735025 | + | 0.678040i | \(0.762830\pi\) | |||||||
\(332\) | −7.32523 | − | 1.96279i | −0.402024 | − | 0.107722i | ||||
\(333\) | 1.35055 | − | 34.1047i | 0.0740094 | − | 1.86893i | ||||
\(334\) | −4.60993 | − | 7.98464i | −0.252244 | − | 0.436900i | ||||
\(335\) | −5.80308 | + | 10.0512i | −0.317056 | + | 0.549157i | ||||
\(336\) | −1.41294 | − | 0.214541i | −0.0770821 | − | 0.0117042i | ||||
\(337\) | 29.4143i | 1.60230i | 0.598465 | + | 0.801149i | \(0.295777\pi\) | ||||
−0.598465 | + | 0.801149i | \(0.704223\pi\) | |||||||
\(338\) | −12.1188 | − | 4.70474i | −0.659176 | − | 0.255904i | ||||
\(339\) | 4.34265 | − | 9.92394i | 0.235860 | − | 0.538994i | ||||
\(340\) | −0.776351 | − | 2.89738i | −0.0421036 | − | 0.157133i | ||||
\(341\) | −0.0129332 | − | 0.00746701i | −0.000700375 | − | 0.000404361i | ||||
\(342\) | −1.08188 | + | 3.48041i | −0.0585012 | + | 0.188199i | ||||
\(343\) | −7.77096 | + | 7.77096i | −0.419593 | + | 0.419593i | ||||
\(344\) | −1.01821 | + | 3.79999i | −0.0548980 | + | 0.204882i | ||||
\(345\) | 3.81060 | − | 4.76767i | 0.205156 | − | 0.256683i | ||||
\(346\) | 3.88804 | + | 3.88804i | 0.209023 | + | 0.209023i | ||||
\(347\) | −18.3677 | + | 10.6046i | −0.986030 | + | 0.569285i | −0.904085 | − | 0.427352i | \(-0.859446\pi\) |
−0.0819448 | + | 0.996637i | \(0.526113\pi\) | |||||||
\(348\) | −10.4392 | + | 7.68692i | −0.559599 | + | 0.412062i | ||||
\(349\) | −15.5273 | + | 4.16053i | −0.831157 | + | 0.222708i | −0.649218 | − | 0.760602i | \(-0.724904\pi\) |
−0.181939 | + | 0.983310i | \(0.558237\pi\) | |||||||
\(350\) | 0.825110 | 0.0441040 | ||||||||
\(351\) | 0.323650 | + | 18.7322i | 0.0172752 | + | 0.999851i | ||||
\(352\) | 3.79299 | 0.202167 | ||||||||
\(353\) | −31.5613 | + | 8.45683i | −1.67984 | + | 0.450112i | −0.967737 | − | 0.251963i | \(-0.918924\pi\) |
−0.712103 | + | 0.702075i | \(0.752257\pi\) | |||||||
\(354\) | 6.74790 | − | 4.96882i | 0.358647 | − | 0.264090i | ||||
\(355\) | −5.11102 | + | 2.95085i | −0.271265 | + | 0.156615i | ||||
\(356\) | 5.07742 | + | 5.07742i | 0.269103 | + | 0.269103i | ||||
\(357\) | 2.67644 | − | 3.34865i | 0.141652 | − | 0.177229i | ||||
\(358\) | 1.24496 | − | 4.64624i | 0.0657980 | − | 0.245562i | ||||
\(359\) | −4.78448 | + | 4.78448i | −0.252515 | + | 0.252515i | −0.822001 | − | 0.569486i | \(-0.807142\pi\) |
0.569486 | + | 0.822001i | \(0.307142\pi\) | |||||||
\(360\) | 0.890511 | − | 2.86478i | 0.0469341 | − | 0.150987i | ||||
\(361\) | −15.1763 | − | 8.76202i | −0.798750 | − | 0.461159i | ||||
\(362\) | −2.50725 | − | 9.35718i | −0.131778 | − | 0.491802i | ||||
\(363\) | 2.35164 | − | 5.37404i | 0.123429 | − | 0.282064i | ||||
\(364\) | −0.161327 | + | 2.97060i | −0.00845585 | + | 0.155702i | ||||
\(365\) | 12.0073i | 0.628490i | ||||||||
\(366\) | −23.5452 | − | 3.57511i | −1.23073 | − | 0.186874i | ||||
\(367\) | 6.73485 | − | 11.6651i | 0.351556 | − | 0.608913i | −0.634966 | − | 0.772540i | \(-0.718986\pi\) |
0.986522 | + | 0.163627i | \(0.0523192\pi\) | |||||||
\(368\) | −1.76190 | − | 3.05169i | −0.0918451 | − | 0.159080i | ||||
\(369\) | 0.567170 | − | 14.3225i | 0.0295257 | − | 0.745598i | ||||
\(370\) | 10.9895 | + | 2.94462i | 0.571315 | + | 0.153084i | ||||
\(371\) | −3.91065 | − | 1.04785i | −0.203031 | − | 0.0544019i | ||||
\(372\) | 0.00248454 | + | 0.00635086i | 0.000128818 | + | 0.000329277i | ||||
\(373\) | −17.0360 | − | 29.5072i | −0.882089 | − | 1.52782i | −0.849014 | − | 0.528370i | \(-0.822804\pi\) |
−0.0330743 | − | 0.999453i | \(-0.510530\pi\) | |||||||
\(374\) | −5.68871 | + | 9.85313i | −0.294156 | + | 0.509493i | ||||
\(375\) | −0.260015 | + | 1.71242i | −0.0134271 | + | 0.0884291i | ||||
\(376\) | − | 9.92018i | − | 0.511594i | ||||||
\(377\) | 18.0196 | + | 20.0892i | 0.928057 | + | 1.03465i | ||||
\(378\) | 4.05141 | − | 1.40280i | 0.208382 | − | 0.0721523i | ||||
\(379\) | −6.18511 | − | 23.0832i | −0.317708 | − | 1.18570i | −0.921442 | − | 0.388516i | \(-0.872988\pi\) |
0.603734 | − | 0.797186i | \(-0.293679\pi\) | |||||||
\(380\) | −1.05213 | − | 0.607447i | −0.0539731 | − | 0.0311614i | ||||
\(381\) | −1.35916 | + | 0.151641i | −0.0696319 | + | 0.00776880i | ||||
\(382\) | −3.71699 | + | 3.71699i | −0.190178 | + | 0.190178i | ||||
\(383\) | 5.87449 | − | 21.9239i | 0.300172 | − | 1.12026i | −0.636850 | − | 0.770988i | \(-0.719763\pi\) |
0.937022 | − | 0.349270i | \(-0.113570\pi\) | |||||||
\(384\) | −1.35299 | − | 1.08139i | −0.0690447 | − | 0.0551845i | ||||
\(385\) | −2.21299 | − | 2.21299i | −0.112784 | − | 0.112784i | ||||
\(386\) | 0.152621 | − | 0.0881160i | 0.00776822 | − | 0.00448499i | ||||
\(387\) | −2.60114 | − | 11.5119i | −0.132223 | − | 0.585184i | ||||
\(388\) | −7.65690 | + | 2.05166i | −0.388720 | + | 0.104157i | ||||
\(389\) | −9.80108 | −0.496934 | −0.248467 | − | 0.968640i | \(-0.579927\pi\) | ||||
−0.248467 | + | 0.968640i | \(0.579927\pi\) | |||||||
\(390\) | −6.11430 | − | 1.27093i | −0.309610 | − | 0.0643563i | ||||
\(391\) | 10.5699 | 0.534544 | ||||||||
\(392\) | −6.10387 | + | 1.63553i | −0.308292 | + | 0.0826066i | ||||
\(393\) | −0.632228 | − | 0.858596i | −0.0318917 | − | 0.0433104i | ||||
\(394\) | −6.33488 | + | 3.65744i | −0.319147 | + | 0.184259i | ||||
\(395\) | −4.17869 | − | 4.17869i | −0.210252 | − | 0.210252i | ||||
\(396\) | −10.0719 | + | 5.29510i | −0.506131 | + | 0.266089i | ||||
\(397\) | 6.48832 | − | 24.2147i | 0.325640 | − | 1.21530i | −0.588028 | − | 0.808841i | \(-0.700095\pi\) |
0.913667 | − | 0.406463i | \(-0.133238\pi\) | |||||||
\(398\) | 13.8085 | − | 13.8085i | 0.692160 | − | 0.692160i | ||||
\(399\) | −0.192518 | − | 1.72554i | −0.00963794 | − | 0.0863850i | ||||
\(400\) | 0.866025 | + | 0.500000i | 0.0433013 | + | 0.0250000i | ||||
\(401\) | 8.23082 | + | 30.7179i | 0.411028 | + | 1.53398i | 0.792661 | + | 0.609663i | \(0.208695\pi\) |
−0.381633 | + | 0.924314i | \(0.624638\pi\) | |||||||
\(402\) | −18.4164 | − | 8.05888i | −0.918525 | − | 0.401940i | ||||
\(403\) | 0.0126609 | − | 0.00642089i | 0.000630687 | − | 0.000319847i | ||||
\(404\) | − | 15.3838i | − | 0.765374i | ||||||
\(405\) | 1.63464 | + | 8.85031i | 0.0812261 | + | 0.439775i | ||||
\(406\) | 3.08788 | − | 5.34837i | 0.153249 | − | 0.265435i | ||||
\(407\) | −21.5767 | − | 37.3719i | −1.06952 | − | 1.85246i | ||||
\(408\) | 4.83837 | − | 1.89284i | 0.239535 | − | 0.0937094i | ||||
\(409\) | 21.7307 | + | 5.82273i | 1.07451 | + | 0.287915i | 0.752347 | − | 0.658767i | \(-0.228922\pi\) |
0.322168 | + | 0.946683i | \(0.395588\pi\) | |||||||
\(410\) | 4.61510 | + | 1.23661i | 0.227923 | + | 0.0610719i | ||||
\(411\) | −17.3014 | + | 6.76854i | −0.853414 | + | 0.333868i | ||||
\(412\) | 8.19760 | + | 14.1987i | 0.403867 | + | 0.699518i | ||||
\(413\) | −1.99601 | + | 3.45719i | −0.0982171 | + | 0.170117i | ||||
\(414\) | 8.93876 | + | 5.64380i | 0.439316 | + | 0.277378i | ||||
\(415\) | 7.58364i | 0.372266i | ||||||||
\(416\) | −1.96945 | + | 3.02014i | −0.0965602 | + | 0.148075i | ||||
\(417\) | −36.7812 | − | 16.0952i | −1.80118 | − | 0.788185i | ||||
\(418\) | 1.19266 | + | 4.45107i | 0.0583349 | + | 0.217709i | ||||
\(419\) | 16.2904 | + | 9.40527i | 0.795838 | + | 0.459477i | 0.842014 | − | 0.539456i | \(-0.181370\pi\) |
−0.0461757 | + | 0.998933i | \(0.514703\pi\) | |||||||
\(420\) | 0.158464 | + | 1.42032i | 0.00773228 | + | 0.0693045i | ||||
\(421\) | 22.9593 | − | 22.9593i | 1.11897 | − | 1.11897i | 0.127075 | − | 0.991893i | \(-0.459441\pi\) |
0.991893 | − | 0.127075i | \(-0.0405590\pi\) | |||||||
\(422\) | 1.57667 | − | 5.88420i | 0.0767510 | − | 0.286439i | ||||
\(423\) | 13.8488 | + | 26.3420i | 0.673351 | + | 1.28079i | ||||
\(424\) | −3.46959 | − | 3.46959i | −0.168498 | − | 0.168498i | ||||
\(425\) | −2.59772 | + | 1.49980i | −0.126008 | + | 0.0727508i | ||||
\(426\) | −6.06109 | − | 8.23124i | −0.293661 | − | 0.398805i | ||||
\(427\) | 10.9584 | − | 2.93629i | 0.530314 | − | 0.142097i | ||||
\(428\) | −0.782362 | −0.0378169 | ||||||||
\(429\) | 12.9902 | + | 19.8076i | 0.627170 | + | 0.956318i | ||||
\(430\) | 3.93404 | 0.189716 | ||||||||
\(431\) | 21.1395 | − | 5.66432i | 1.01825 | − | 0.272840i | 0.289180 | − | 0.957275i | \(-0.406617\pi\) |
0.729075 | + | 0.684434i | \(0.239951\pi\) | |||||||
\(432\) | 5.10238 | + | 0.982710i | 0.245488 | + | 0.0472807i | ||||
\(433\) | −5.85090 | + | 3.37802i | −0.281176 | + | 0.162337i | −0.633956 | − | 0.773369i | \(-0.718570\pi\) |
0.352779 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(434\) | −0.00229717 | − | 0.00229717i | −0.000110267 | − | 0.000110267i | ||||
\(435\) | 10.1269 | + | 8.09396i | 0.485545 | + | 0.388076i | ||||
\(436\) | −0.184361 | + | 0.688046i | −0.00882931 | + | 0.0329515i | ||||
\(437\) | 3.02715 | − | 3.02715i | 0.144808 | − | 0.144808i | ||||
\(438\) | −20.6690 | + | 2.30603i | −0.987603 | + | 0.110186i | ||||
\(439\) | −23.5242 | − | 13.5817i | −1.12275 | − | 0.648219i | −0.180648 | − | 0.983548i | \(-0.557819\pi\) |
−0.942101 | + | 0.335329i | \(0.891153\pi\) | |||||||
\(440\) | −0.981698 | − | 3.66375i | −0.0468006 | − | 0.174662i | ||||
\(441\) | 13.9250 | − | 12.8641i | 0.663093 | − | 0.612577i | ||||
\(442\) | −4.89172 | − | 9.64568i | −0.232675 | − | 0.458798i | ||||
\(443\) | 30.5438i | 1.45118i | 0.688126 | + | 0.725591i | \(0.258434\pi\) | ||||
−0.688126 | + | 0.725591i | \(0.741566\pi\) | |||||||
\(444\) | −2.95823 | + | 19.4825i | −0.140391 | + | 0.924597i | ||||
\(445\) | 3.59028 | − | 6.21854i | 0.170195 | − | 0.294787i | ||||
\(446\) | 4.15595 | + | 7.19831i | 0.196790 | + | 0.340850i | ||||
\(447\) | 2.91888 | + | 7.46108i | 0.138058 | + | 0.352897i | ||||
\(448\) | 0.796995 | + | 0.213554i | 0.0376545 | + | 0.0100895i | ||||
\(449\) | −14.7387 | − | 3.94923i | −0.695563 | − | 0.186376i | −0.106321 | − | 0.994332i | \(-0.533907\pi\) |
−0.589242 | + | 0.807956i | \(0.700574\pi\) | |||||||
\(450\) | −2.99765 | − | 0.118707i | −0.141311 | − | 0.00559590i | ||||
\(451\) | −9.06126 | − | 15.6946i | −0.426678 | − | 0.739028i | ||||
\(452\) | −3.12708 | + | 5.41625i | −0.147085 | + | 0.254759i | ||||
\(453\) | 12.7517 | + | 1.93623i | 0.599129 | + | 0.0909720i | ||||
\(454\) | 20.4099i | 0.957886i | ||||||||
\(455\) | 2.91113 | − | 0.613018i | 0.136476 | − | 0.0287387i | ||||
\(456\) | 0.843578 | − | 1.92777i | 0.0395041 | − | 0.0902759i | ||||
\(457\) | 0.951818 | + | 3.55223i | 0.0445242 | + | 0.166167i | 0.984608 | − | 0.174777i | \(-0.0559203\pi\) |
−0.940084 | + | 0.340943i | \(0.889254\pi\) | |||||||
\(458\) | 0.888473 | + | 0.512960i | 0.0415156 | + | 0.0239690i | ||||
\(459\) | −10.2053 | + | 11.7807i | −0.476344 | + | 0.549876i | ||||
\(460\) | −2.49170 | + | 2.49170i | −0.116176 | + | 0.116176i | ||||
\(461\) | −4.95099 | + | 18.4773i | −0.230591 | + | 0.860576i | 0.749497 | + | 0.662008i | \(0.230296\pi\) |
−0.980087 | + | 0.198568i | \(0.936371\pi\) | |||||||
\(462\) | 3.38436 | − | 4.23438i | 0.157455 | − | 0.197001i | ||||
\(463\) | 28.1621 | + | 28.1621i | 1.30880 | + | 1.30880i | 0.922280 | + | 0.386523i | \(0.126324\pi\) |
0.386523 | + | 0.922280i | \(0.373676\pi\) | |||||||
\(464\) | 6.48200 | − | 3.74239i | 0.300919 | − | 0.173736i | ||||
\(465\) | 0.00549141 | − | 0.00404361i | 0.000254658 | − | 0.000187518i | ||||
\(466\) | 11.2837 | − | 3.02347i | 0.522709 | − | 0.140060i | ||||
\(467\) | 31.6851 | 1.46621 | 0.733105 | − | 0.680116i | \(-0.238070\pi\) | ||||
0.733105 | + | 0.680116i | \(0.238070\pi\) | |||||||
\(468\) | 1.01348 | − | 10.7691i | 0.0468482 | − | 0.497800i | ||||
\(469\) | 9.57635 | 0.442195 | ||||||||
\(470\) | −9.58216 | + | 2.56753i | −0.441992 | + | 0.118431i | ||||
\(471\) | −6.09173 | + | 4.48566i | −0.280692 | + | 0.206688i | ||||
\(472\) | −4.18997 | + | 2.41908i | −0.192859 | + | 0.111347i | ||||
\(473\) | −10.5513 | − | 10.5513i | −0.485149 | − | 0.485149i | ||||
\(474\) | 6.39054 | − | 7.99559i | 0.293527 | − | 0.367250i | ||||
\(475\) | −0.314438 | + | 1.17350i | −0.0144274 | + | 0.0538438i | ||||
\(476\) | −1.75008 | + | 1.75008i | −0.0802150 | + | 0.0802150i | ||||
\(477\) | 14.0567 | + | 4.36950i | 0.643614 | + | 0.200066i | ||||
\(478\) | 17.6215 | + | 10.1738i | 0.805987 | + | 0.465337i | ||||
\(479\) | 6.64561 | + | 24.8018i | 0.303646 | + | 1.13322i | 0.934105 | + | 0.356999i | \(0.116200\pi\) |
−0.630459 | + | 0.776222i | \(0.717133\pi\) | |||||||
\(480\) | −0.694363 | + | 1.58678i | −0.0316932 | + | 0.0724261i | ||||
\(481\) | 40.9605 | + | 2.22448i | 1.86764 | + | 0.101428i | ||||
\(482\) | − | 18.0385i | − | 0.821631i | ||||||
\(483\) | −4.97890 | − | 0.755998i | −0.226548 | − | 0.0343991i | ||||
\(484\) | −1.69338 | + | 2.93302i | −0.0769719 | + | 0.133319i | ||||
\(485\) | 3.96350 | + | 6.86499i | 0.179973 | + | 0.311723i | ||||
\(486\) | −14.9207 | + | 4.51355i | −0.676818 | + | 0.204739i | ||||
\(487\) | −23.2525 | − | 6.23048i | −1.05367 | − | 0.282330i | −0.309903 | − | 0.950768i | \(-0.600297\pi\) |
−0.743768 | + | 0.668438i | \(0.766963\pi\) | |||||||
\(488\) | 13.2811 | + | 3.55867i | 0.601208 | + | 0.161093i | ||||
\(489\) | 3.21594 | + | 8.22042i | 0.145430 | + | 0.371740i | ||||
\(490\) | 3.15960 | + | 5.47258i | 0.142736 | + | 0.247226i | ||||
\(491\) | 5.01301 | − | 8.68279i | 0.226234 | − | 0.391849i | −0.730455 | − | 0.682961i | \(-0.760692\pi\) |
0.956689 | + | 0.291112i | \(0.0940252\pi\) | |||||||
\(492\) | −1.24233 | + | 8.18178i | −0.0560083 | + | 0.368863i | ||||
\(493\) | 22.4512i | 1.01115i | ||||||||
\(494\) | −4.16340 | − | 1.36150i | −0.187320 | − | 0.0612567i | ||||
\(495\) | 7.72146 | + | 8.35822i | 0.347054 | + | 0.375674i | ||||
\(496\) | −0.00101904 | − | 0.00380311i | −4.57563e−5 | − | 0.000170765i | ||||
\(497\) | 4.21715 | + | 2.43477i | 0.189165 | + | 0.109215i | ||||
\(498\) | −13.0543 | + | 1.45646i | −0.584975 | + | 0.0652654i | ||||
\(499\) | −15.2170 | + | 15.2170i | −0.681206 | + | 0.681206i | −0.960272 | − | 0.279066i | \(-0.909975\pi\) |
0.279066 | + | 0.960272i | \(0.409975\pi\) | |||||||
\(500\) | 0.258819 | − | 0.965926i | 0.0115747 | − | 0.0431975i | ||||
\(501\) | −12.4744 | − | 9.97028i | −0.557316 | − | 0.445439i | ||||
\(502\) | −20.8424 | − | 20.8424i | −0.930242 | − | 0.930242i | ||||
\(503\) | 30.8229 | − | 17.7956i | 1.37433 | − | 0.793467i | 0.382856 | − | 0.923808i | \(-0.374940\pi\) |
0.991469 | + | 0.130341i | \(0.0416071\pi\) | |||||||
\(504\) | −2.41446 | + | 0.545552i | −0.107549 | + | 0.0243008i | ||||
\(505\) | −14.8596 | + | 3.98163i | −0.661245 | + | 0.177180i | ||||
\(506\) | 13.3657 | 0.594178 | ||||||||
\(507\) | −22.5166 | + | 0.0585567i | −0.999997 | + | 0.00260059i | ||||
\(508\) | 0.789580 | 0.0350320 | ||||||||
\(509\) | −25.7113 | + | 6.88933i | −1.13963 | + | 0.305364i | −0.778804 | − | 0.627267i | \(-0.784173\pi\) |
−0.360830 | + | 0.932632i | \(0.617507\pi\) | |||||||
\(510\) | −3.08060 | − | 4.18360i | −0.136411 | − | 0.185253i | ||||
\(511\) | 8.58001 | − | 4.95367i | 0.379557 | − | 0.219137i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.451173 | + | 6.29664i | 0.0199198 | + | 0.278003i | ||||
\(514\) | 3.34256 | − | 12.4746i | 0.147434 | − | 0.550231i | ||||
\(515\) | 11.5932 | − | 11.5932i | 0.510855 | − | 0.510855i | ||||
\(516\) | 0.755543 | + | 6.77195i | 0.0332609 | + | 0.298118i | ||||
\(517\) | 32.5861 | + | 18.8136i | 1.43313 | + | 0.827420i | ||||
\(518\) | −2.42964 | − | 9.06753i | −0.106752 | − | 0.398404i | ||||
\(519\) | 8.72493 | + | 3.81797i | 0.382982 | + | 0.167590i | ||||
\(520\) | 3.42697 | + | 1.12067i | 0.150282 | + | 0.0491447i | ||||
\(521\) | − | 13.4752i | − | 0.590358i | −0.955442 | − | 0.295179i | \(-0.904621\pi\) | ||
0.955442 | − | 0.295179i | \(-0.0953793\pi\) | |||||||
\(522\) | −11.9878 | + | 18.9865i | −0.524693 | + | 0.831018i | ||||
\(523\) | 2.98474 | − | 5.16972i | 0.130514 | − | 0.226056i | −0.793361 | − | 0.608751i | \(-0.791671\pi\) |
0.923875 | + | 0.382695i | \(0.125004\pi\) | |||||||
\(524\) | 0.307801 | + | 0.533127i | 0.0134464 | + | 0.0232898i | ||||
\(525\) | 1.33091 | − | 0.520671i | 0.0580857 | − | 0.0227239i | ||||
\(526\) | 26.6566 | + | 7.14261i | 1.16228 | + | 0.311433i | ||||
\(527\) | 0.0114078 | + | 0.00305671i | 0.000496931 | + | 0.000133152i | ||||
\(528\) | 6.11813 | − | 2.39350i | 0.266257 | − | 0.104164i | ||||
\(529\) | 5.29145 | + | 9.16506i | 0.230063 | + | 0.398481i | ||||
\(530\) | −2.45337 | + | 4.24936i | −0.106567 | + | 0.184580i | ||||
\(531\) | 7.74893 | − | 12.2729i | 0.336275 | − | 0.532598i | ||||
\(532\) | 1.00242i | 0.0434605i | ||||||||
\(533\) | 17.2016 | + | 0.934185i | 0.745084 | + | 0.0404641i | ||||
\(534\) | 11.3939 | + | 4.98591i | 0.493064 | + | 0.215761i | ||||
\(535\) | 0.202490 | + | 0.755704i | 0.00875441 | + | 0.0326719i | ||||
\(536\) | 10.0512 | + | 5.80308i | 0.434147 | + | 0.250655i | ||||
\(537\) | −0.923801 | − | 8.28004i | −0.0398649 | − | 0.357310i | ||||
\(538\) | −14.7899 | + | 14.7899i | −0.637639 | + | 0.637639i | ||||
\(539\) | 6.20354 | − | 23.1519i | 0.267205 | − | 0.997224i | ||||
\(540\) | −0.371368 | − | 5.18286i | −0.0159811 | − | 0.223035i | ||||
\(541\) | 22.2468 | + | 22.2468i | 0.956465 | + | 0.956465i | 0.999091 | − | 0.0426256i | \(-0.0135723\pi\) |
−0.0426256 | + | 0.999091i | \(0.513572\pi\) | |||||||
\(542\) | 13.5128 | − | 7.80163i | 0.580425 | − | 0.335109i | ||||
\(543\) | −9.94889 | − | 13.5111i | −0.426948 | − | 0.579815i | ||||
\(544\) | −2.89738 | + | 0.776351i | −0.124224 | + | 0.0332858i | ||||
\(545\) | 0.712318 | 0.0305124 | ||||||||
\(546\) | 1.61432 | + | 4.89341i | 0.0690865 | + | 0.209419i | ||||
\(547\) | −23.4492 | −1.00261 | −0.501307 | − | 0.865269i | \(-0.667147\pi\) | ||||
−0.501307 | + | 0.865269i | \(0.667147\pi\) | |||||||
\(548\) | 10.3607 | − | 2.77613i | 0.442586 | − | 0.118590i | ||||
\(549\) | −40.2346 | + | 9.09108i | −1.71717 | + | 0.387998i | ||||
\(550\) | −3.28482 | + | 1.89649i | −0.140065 | + | 0.0808668i | ||||
\(551\) | 6.42987 | + | 6.42987i | 0.273922 | + | 0.273922i | ||||
\(552\) | −4.76767 | − | 3.81060i | −0.202925 | − | 0.162190i | ||||
\(553\) | −1.26201 | + | 4.70989i | −0.0536661 | + | 0.200285i | ||||
\(554\) | 17.1892 | − | 17.1892i | 0.730301 | − | 0.730301i | ||||
\(555\) | 19.5843 | − | 2.18501i | 0.831306 | − | 0.0927484i | ||||
\(556\) | 20.0743 | + | 11.5899i | 0.851340 | + | 0.491521i | ||||
\(557\) | −0.216431 | − | 0.807730i | −0.00917046 | − | 0.0342246i | 0.961189 | − | 0.275891i | \(-0.0889728\pi\) |
−0.970359 | + | 0.241666i | \(0.922306\pi\) | |||||||
\(558\) | 0.00801519 | + | 0.00867616i | 0.000339310 | + | 0.000367291i | ||||
\(559\) | 13.8800 | − | 2.92281i | 0.587061 | − | 0.123622i | ||||
\(560\) | − | 0.825110i | − | 0.0348673i | ||||||
\(561\) | −2.95830 | + | 19.4829i | −0.124899 | + | 0.822571i | ||||
\(562\) | 11.8188 | − | 20.4707i | 0.498545 | − | 0.863505i | ||||
\(563\) | −15.1333 | − | 26.2117i | −0.637794 | − | 1.10469i | −0.985916 | − | 0.167242i | \(-0.946514\pi\) |
0.348122 | − | 0.937449i | \(-0.386820\pi\) | |||||||
\(564\) | −6.25995 | − | 16.0013i | −0.263592 | − | 0.673778i | ||||
\(565\) | 6.04105 | + | 1.61869i | 0.254149 | + | 0.0680989i | ||||
\(566\) | −21.8044 | − | 5.84247i | −0.916507 | − | 0.245577i | ||||
\(567\) | 5.64975 | − | 4.81930i | 0.237267 | − | 0.202392i | ||||
\(568\) | 2.95085 | + | 5.11102i | 0.123815 | + | 0.214454i | ||||
\(569\) | −6.86965 | + | 11.8986i | −0.287991 | + | 0.498814i | −0.973330 | − | 0.229409i | \(-0.926321\pi\) |
0.685339 | + | 0.728224i | \(0.259654\pi\) | |||||||
\(570\) | −2.08041 | − | 0.315891i | −0.0871389 | − | 0.0132312i | ||||
\(571\) | − | 26.2679i | − | 1.09928i | −0.835403 | − | 0.549638i | \(-0.814765\pi\) | ||
0.835403 | − | 0.549638i | \(-0.185235\pi\) | |||||||
\(572\) | −6.18559 | − | 12.1970i | −0.258633 | − | 0.509981i | ||||
\(573\) | −3.65000 | + | 8.34108i | −0.152481 | + | 0.348454i | ||||
\(574\) | −1.02034 | − | 3.80796i | −0.0425882 | − | 0.158941i | ||||
\(575\) | 3.05169 | + | 1.76190i | 0.127264 | + | 0.0734761i | ||||
\(576\) | −2.86478 | − | 0.890511i | −0.119366 | − | 0.0371046i | ||||
\(577\) | 17.6073 | − | 17.6073i | 0.733000 | − | 0.733000i | −0.238213 | − | 0.971213i | \(-0.576562\pi\) |
0.971213 | + | 0.238213i | \(0.0765617\pi\) | |||||||
\(578\) | −2.07119 | + | 7.72978i | −0.0861500 | + | 0.321516i | ||||
\(579\) | 0.190576 | − | 0.238441i | 0.00792005 | − | 0.00990926i | ||||
\(580\) | −5.29253 | − | 5.29253i | −0.219760 | − | 0.219760i | ||||
\(581\) | 5.41901 | − | 3.12867i | 0.224819 | − | 0.129799i | ||||
\(582\) | −11.0560 | + | 8.14109i | −0.458285 | + | 0.337459i | ||||
\(583\) | 17.9770 | − | 4.81693i | 0.744533 | − | 0.199497i | ||||
\(584\) | 12.0073 | 0.496865 | ||||||||
\(585\) | −10.6644 | + | 1.80829i | −0.440920 | + | 0.0747637i | ||||
\(586\) | −28.9292 | −1.19505 | ||||||||
\(587\) | −6.50869 | + | 1.74400i | −0.268643 | + | 0.0719826i | −0.390626 | − | 0.920550i | \(-0.627741\pi\) |
0.121983 | + | 0.992532i | \(0.461075\pi\) | |||||||
\(588\) | −8.81353 | + | 6.48986i | −0.363464 | + | 0.267637i | ||||
\(589\) | 0.00414252 | − | 0.00239169i | 0.000170690 | − | 9.85477e-5i | ||||
\(590\) | 3.42109 | + | 3.42109i | 0.140844 | + | 0.140844i | ||||
\(591\) | −7.91025 | + | 9.89700i | −0.325384 | + | 0.407108i | ||||
\(592\) | 2.94462 | − | 10.9895i | 0.121023 | − | 0.451665i | ||||
\(593\) | −22.4859 | + | 22.4859i | −0.923387 | + | 0.923387i | −0.997267 | − | 0.0738801i | \(-0.976462\pi\) |
0.0738801 | + | 0.997267i | \(0.476462\pi\) | |||||||
\(594\) | −12.9047 | + | 14.8967i | −0.529485 | + | 0.611220i | ||||
\(595\) | 2.14341 | + | 1.23750i | 0.0878711 | + | 0.0507324i | ||||
\(596\) | −1.19718 | − | 4.46795i | −0.0490386 | − | 0.183014i | ||||
\(597\) | 13.5597 | − | 30.9870i | 0.554961 | − | 1.26821i | ||||
\(598\) | −6.93993 | + | 10.6424i | −0.283795 | + | 0.435198i | ||||
\(599\) | − | 20.4003i | − | 0.833532i | −0.909014 | − | 0.416766i | \(-0.863163\pi\) | ||
0.909014 | − | 0.416766i | \(-0.136837\pi\) | |||||||
\(600\) | 1.71242 | + | 0.260015i | 0.0699094 | + | 0.0106151i | ||||
\(601\) | 6.60632 | − | 11.4425i | 0.269477 | − | 0.466749i | −0.699250 | − | 0.714878i | \(-0.746482\pi\) |
0.968727 | + | 0.248129i | \(0.0798157\pi\) | |||||||
\(602\) | −1.62301 | − | 2.81114i | −0.0661489 | − | 0.114573i | ||||
\(603\) | −34.7912 | − | 1.37773i | −1.41681 | − | 0.0561055i | ||||
\(604\) | −7.19287 | − | 1.92732i | −0.292674 | − | 0.0784217i | ||||
\(605\) | 3.27136 | + | 0.876559i | 0.133000 | + | 0.0356372i | ||||
\(606\) | −9.70769 | − | 24.8143i | −0.394348 | − | 1.00801i | ||||
\(607\) | 2.52615 | + | 4.37542i | 0.102533 | + | 0.177593i | 0.912728 | − | 0.408568i | \(-0.133972\pi\) |
−0.810195 | + | 0.586161i | \(0.800639\pi\) | |||||||
\(608\) | −0.607447 | + | 1.05213i | −0.0246352 | + | 0.0426695i | ||||
\(609\) | 1.60579 | − | 10.5755i | 0.0650699 | − | 0.428541i | ||||
\(610\) | − | 13.7496i | − | 0.556706i | ||||||
\(611\) | −31.9000 | + | 16.1778i | −1.29054 | + | 0.654483i | ||||
\(612\) | 6.60989 | − | 6.10633i | 0.267189 | − | 0.246834i | ||||
\(613\) | −3.28773 | − | 12.2700i | −0.132790 | − | 0.495579i | 0.867207 | − | 0.497948i | \(-0.165913\pi\) |
−0.999997 | + | 0.00236831i | \(0.999246\pi\) | |||||||
\(614\) | 6.46430 | + | 3.73217i | 0.260878 | + | 0.150618i | ||||
\(615\) | 8.22453 | − | 0.917607i | 0.331645 | − | 0.0370015i | ||||
\(616\) | −2.21299 | + | 2.21299i | −0.0891637 | + | 0.0891637i | ||||
\(617\) | −1.98367 | + | 7.40316i | −0.0798596 | + | 0.298040i | −0.994291 | − | 0.106700i | \(-0.965971\pi\) |
0.914432 | + | 0.404740i | \(0.132638\pi\) | |||||||
\(618\) | 22.1826 | + | 17.7296i | 0.892315 | + | 0.713190i | ||||
\(619\) | 20.2426 | + | 20.2426i | 0.813620 | + | 0.813620i | 0.985175 | − | 0.171555i | \(-0.0548791\pi\) |
−0.171555 | + | 0.985175i | \(0.554879\pi\) | |||||||
\(620\) | −0.00340978 | + | 0.00196864i | −0.000136940 | + | 7.90623e-5i | ||||
\(621\) | 17.9797 | + | 3.46287i | 0.721501 | + | 0.138960i | ||||
\(622\) | −16.7024 | + | 4.47539i | −0.669705 | + | 0.179447i | ||||
\(623\) | −5.92475 | −0.237370 | ||||||||
\(624\) | −1.27093 | + | 6.11430i | −0.0508781 | + | 0.244768i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | 3.58767 | − | 0.961314i | 0.143392 | − | 0.0384218i | ||||
\(627\) | 4.73254 | + | 6.42700i | 0.188999 | + | 0.256670i | ||||
\(628\) | 3.78254 | − | 2.18385i | 0.150940 | − | 0.0871450i | ||||
\(629\) | 24.1313 | + | 24.1313i | 0.962177 | + | 0.962177i | ||||
\(630\) | 1.15187 | + | 2.19099i | 0.0458917 | + | 0.0872913i | ||||
\(631\) | −5.56480 | + | 20.7681i | −0.221531 | + | 0.826766i | 0.762233 | + | 0.647302i | \(0.224103\pi\) |
−0.983765 | + | 0.179464i | \(0.942564\pi\) | |||||||
\(632\) | −4.17869 | + | 4.17869i | −0.166219 | + | 0.166219i | ||||
\(633\) | −1.16994 | − | 10.4862i | −0.0465010 | − | 0.416789i | ||||
\(634\) | 14.5524 | + | 8.40182i | 0.577949 | + | 0.333679i | ||||
\(635\) | −0.204358 | − | 0.762676i | −0.00810972 | − | 0.0302659i | ||||
\(636\) | −7.78589 | − | 3.40705i | −0.308731 | − | 0.135099i | ||||
\(637\) | 15.2135 | + | 16.9608i | 0.602780 | + | 0.672011i | ||||
\(638\) | 28.3896i | 1.12396i | ||||||||
\(639\) | −14.9708 | − | 9.45232i | −0.592234 | − | 0.373928i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | −17.0880 | − | 29.5973i | −0.674936 | − | 1.16902i | −0.976488 | − | 0.215573i | \(-0.930838\pi\) |
0.301552 | − | 0.953450i | \(-0.402495\pi\) | |||||||
\(642\) | −1.26196 | + | 0.493695i | −0.0498055 | + | 0.0194846i | ||||
\(643\) | 29.1672 | + | 7.81533i | 1.15024 | + | 0.308206i | 0.783062 | − | 0.621943i | \(-0.213657\pi\) |
0.367180 | + | 0.930150i | \(0.380323\pi\) | |||||||
\(644\) | 2.80844 | + | 0.752520i | 0.110668 | + | 0.0296535i | ||||
\(645\) | 6.34565 | − | 2.48251i | 0.249860 | − | 0.0977486i | ||||
\(646\) | −1.82209 | − | 3.15596i | −0.0716893 | − | 0.124170i | ||||
\(647\) | 16.6435 | − | 28.8275i | 0.654325 | − | 1.13332i | −0.327737 | − | 0.944769i | \(-0.606286\pi\) |
0.982063 | − | 0.188555i | \(-0.0603805\pi\) | |||||||
\(648\) | 8.85031 | − | 1.63464i | 0.347673 | − | 0.0642149i | ||||
\(649\) | − | 18.3511i | − | 0.720343i | ||||||
\(650\) | 0.195522 | − | 3.60025i | 0.00766901 | − | 0.141213i | ||||
\(651\) | −0.00515493 | − | 0.00225576i | −0.000202038 | − | 8.84104e-5i | ||||
\(652\) | −1.31903 | − | 4.92267i | −0.0516571 | − | 0.192787i | ||||
\(653\) | −38.8066 | − | 22.4050i | −1.51862 | − | 0.876776i | −0.999760 | − | 0.0219166i | \(-0.993023\pi\) |
−0.518860 | − | 0.854859i | \(-0.673644\pi\) | |||||||
\(654\) | 0.136802 | + | 1.22616i | 0.00534940 | + | 0.0479468i | ||||
\(655\) | 0.435297 | − | 0.435297i | 0.0170085 | − | 0.0170085i | ||||
\(656\) | 1.23661 | − | 4.61510i | 0.0482816 | − | 0.180189i | ||||
\(657\) | −31.8841 | + | 16.7624i | −1.24392 | + | 0.653965i | ||||
\(658\) | 5.78784 | + | 5.78784i | 0.225634 | + | 0.225634i | ||||
\(659\) | −15.8615 | + | 9.15765i | −0.617877 | + | 0.356731i | −0.776042 | − | 0.630681i | \(-0.782775\pi\) |
0.158165 | + | 0.987413i | \(0.449442\pi\) | |||||||
\(660\) | −3.89543 | − | 5.29017i | −0.151629 | − | 0.205920i | ||||
\(661\) | −46.0633 | + | 12.3426i | −1.79165 | + | 0.480072i | −0.992626 | − | 0.121221i | \(-0.961319\pi\) |
−0.799029 | + | 0.601293i | \(0.794653\pi\) | |||||||
\(662\) | 19.4484 | 0.755883 | ||||||||
\(663\) | −13.9771 | − | 12.4717i | −0.542826 | − | 0.484362i | ||||
\(664\) | 7.58364 | 0.294302 | ||||||||
\(665\) | 0.968265 | − | 0.259446i | 0.0375477 | − | 0.0100609i | ||||
\(666\) | 7.52242 | + | 33.2921i | 0.291488 | + | 1.29004i | ||||
\(667\) | 22.8412 | − | 13.1874i | 0.884415 | − | 0.510617i | ||||
\(668\) | 6.51943 | + | 6.51943i | 0.252244 | + | 0.252244i | ||||
\(669\) | 11.2459 | + | 8.98840i | 0.434793 | + | 0.347512i | ||||
\(670\) | 3.00389 | − | 11.2107i | 0.116051 | − | 0.433106i | ||||
\(671\) | −36.8772 | + | 36.8772i | −1.42363 | + | 1.42363i | ||||
\(672\) | 1.42032 | − | 0.158464i | 0.0547900 | − | 0.00611290i | ||||
\(673\) | 23.3095 | + | 13.4577i | 0.898514 | + | 0.518757i | 0.876718 | − | 0.481005i | \(-0.159728\pi\) |
0.0217965 | + | 0.999762i | \(0.493061\pi\) | |||||||
\(674\) | −7.61297 | − | 28.4120i | −0.293241 | − | 1.09439i | ||||
\(675\) | −4.91015 | + | 1.70014i | −0.188992 | + | 0.0654383i | ||||
\(676\) | 12.9235 | + | 1.40786i | 0.497059 | + | 0.0541483i | ||||
\(677\) | − | 35.2263i | − | 1.35385i | −0.736050 | − | 0.676927i | \(-0.763311\pi\) | ||
0.736050 | − | 0.676927i | \(-0.236689\pi\) | |||||||
\(678\) | −1.62617 | + | 10.7097i | −0.0624528 | + | 0.411305i | ||||
\(679\) | 3.27033 | − | 5.66437i | 0.125504 | − | 0.217379i | ||||
\(680\) | 1.49980 | + | 2.59772i | 0.0575145 | + | 0.0996181i | ||||
\(681\) | 12.8793 | + | 32.9214i | 0.493537 | + | 1.26155i | ||||
\(682\) | 0.0144252 | + | 0.00386521i | 0.000552368 | + | 0.000148007i | ||||
\(683\) | 25.9255 | + | 6.94671i | 0.992010 | + | 0.265808i | 0.718095 | − | 0.695945i | \(-0.245014\pi\) |
0.273915 | + | 0.961754i | \(0.411681\pi\) | |||||||
\(684\) | 0.144216 | − | 3.64183i | 0.00551425 | − | 0.139249i | ||||
\(685\) | −5.36308 | − | 9.28912i | −0.204913 | − | 0.354919i | ||||
\(686\) | 5.49490 | − | 9.51745i | 0.209796 | − | 0.363378i | ||||
\(687\) | 1.75681 | + | 0.266755i | 0.0670264 | + | 0.0101773i | ||||
\(688\) | − | 3.93404i | − | 0.149984i | ||||||
\(689\) | −5.49884 | + | 16.8152i | −0.209489 | + | 0.640609i | ||||
\(690\) | −2.44679 | + | 5.59147i | −0.0931477 | + | 0.212864i | ||||
\(691\) | −3.82546 | − | 14.2768i | −0.145527 | − | 0.543116i | −0.999731 | − | 0.0231778i | \(-0.992622\pi\) |
0.854204 | − | 0.519938i | \(-0.174045\pi\) | |||||||
\(692\) | −4.76186 | − | 2.74926i | −0.181019 | − | 0.104511i | ||||
\(693\) | 2.78697 | − | 8.96573i | 0.105868 | − | 0.340580i | ||||
\(694\) | 14.9972 | − | 14.9972i | 0.569285 | − | 0.569285i | ||||
\(695\) | 5.99937 | − | 22.3900i | 0.227569 | − | 0.849300i | ||||
\(696\) | 8.09396 | − | 10.1269i | 0.306801 | − | 0.383857i | ||||
\(697\) | 10.1341 | + | 10.1341i | 0.383855 | + | 0.383855i | ||||
\(698\) | 13.9214 | − | 8.03752i | 0.526932 | − | 0.304225i | ||||
\(699\) | 16.2929 | − | 11.9973i | 0.616253 | − | 0.453779i | ||||
\(700\) | −0.796995 | + | 0.213554i | −0.0301236 | + | 0.00807159i | ||||
\(701\) | 19.3599 | 0.731215 | 0.365608 | − | 0.930769i | \(-0.380861\pi\) | ||||
0.365608 | + | 0.930769i | \(0.380861\pi\) | |||||||
\(702\) | −5.16087 | − | 18.0101i | −0.194785 | − | 0.679749i | ||||
\(703\) | 13.8220 | 0.521308 | ||||||||
\(704\) | −3.66375 | + | 0.981698i | −0.138083 | + | 0.0369991i | ||||
\(705\) | −13.8359 | + | 10.1881i | −0.521091 | + | 0.383706i | ||||
\(706\) | 28.2971 | − | 16.3373i | 1.06498 | − | 0.614864i | ||||
\(707\) | 8.97556 | + | 8.97556i | 0.337561 | + | 0.337561i | ||||
\(708\) | −5.23194 | + | 6.54600i | −0.196628 | + | 0.246014i | ||||
\(709\) | 7.45717 | − | 27.8305i | 0.280060 | − | 1.04520i | −0.672314 | − | 0.740266i | \(-0.734700\pi\) |
0.952374 | − | 0.304932i | \(-0.0986338\pi\) | |||||||
\(710\) | 4.17313 | − | 4.17313i | 0.156615 | − | 0.156615i | ||||
\(711\) | 5.26252 | − | 16.9296i | 0.197360 | − | 0.634909i | ||||
\(712\) | −6.21854 | − | 3.59028i | −0.233050 | − | 0.134551i | ||||
\(713\) | −0.00359089 | − | 0.0134014i | −0.000134480 | − | 0.000501885i | ||||
\(714\) | −1.71854 | + | 3.92726i | −0.0643149 | + | 0.146974i | ||||
\(715\) | −10.1804 | + | 9.13163i | −0.380727 | + | 0.341504i | ||||
\(716\) | 4.81015i | 0.179764i | ||||||||
\(717\) | 34.8436 | + | 5.29066i | 1.30126 | + | 0.197583i | ||||
\(718\) | 3.38314 | − | 5.85977i | 0.126258 | − | 0.218685i | ||||
\(719\) | −3.77091 | − | 6.53140i | −0.140631 | − | 0.243580i | 0.787103 | − | 0.616821i | \(-0.211580\pi\) |
−0.927734 | + | 0.373241i | \(0.878246\pi\) | |||||||
\(720\) | −0.118707 | + | 2.99765i | −0.00442395 | + | 0.111716i | ||||
\(721\) | −13.0669 | − | 3.50126i | −0.486637 | − | 0.130394i | ||||
\(722\) | 16.9269 | + | 4.53555i | 0.629955 | + | 0.168796i | ||||
\(723\) | −11.3829 | − | 29.0962i | −0.423333 | − | 1.08210i | ||||
\(724\) | 4.84363 | + | 8.38941i | 0.180012 | + | 0.311790i | ||||
\(725\) | −3.74239 | + | 6.48200i | −0.138989 | + | 0.240735i | ||||
\(726\) | −0.880609 | + | 5.79957i | −0.0326825 | + | 0.215242i | ||||
\(727\) | 18.8445i | 0.698904i | 0.936954 | + | 0.349452i | \(0.113632\pi\) | ||||
−0.936954 | + | 0.349452i | \(0.886368\pi\) | |||||||
\(728\) | −0.613018 | − | 2.91113i | −0.0227199 | − | 0.107894i | ||||
\(729\) | −21.2191 | + | 16.6958i | −0.785891 | + | 0.618365i | ||||
\(730\) | −3.10772 | − | 11.5982i | −0.115022 | − | 0.429267i | ||||
\(731\) | 10.2196 | + | 5.90026i | 0.377984 | + | 0.218229i | ||||
\(732\) | 23.6682 | − | 2.64065i | 0.874802 | − | 0.0976013i | ||||
\(733\) | −26.3274 | + | 26.3274i | −0.972424 | + | 0.972424i | −0.999630 | − | 0.0272063i | \(-0.991339\pi\) |
0.0272063 | + | 0.999630i | \(0.491339\pi\) | |||||||
\(734\) | −3.48622 | + | 13.0107i | −0.128679 | + | 0.480235i | ||||
\(735\) | 8.54983 | + | 6.83352i | 0.315365 | + | 0.252058i | ||||
\(736\) | 2.49170 | + | 2.49170i | 0.0918451 | + | 0.0918451i | ||||
\(737\) | −38.1242 | + | 22.0110i | −1.40432 | + | 0.810786i | ||||
\(738\) | 3.15908 | + | 13.9812i | 0.116287 | + | 0.514656i | ||||
\(739\) | −22.7470 | + | 6.09505i | −0.836763 | + | 0.224210i | −0.651662 | − | 0.758509i | \(-0.725928\pi\) |
−0.185101 | + | 0.982719i | \(0.559261\pi\) | |||||||
\(740\) | −11.3771 | −0.418232 | ||||||||
\(741\) | −7.57476 | + | 0.431130i | −0.278266 | + | 0.0158380i | ||||
\(742\) | 4.04860 | 0.148629 | ||||||||
\(743\) | 40.3372 | − | 10.8083i | 1.47983 | − | 0.396519i | 0.573539 | − | 0.819178i | \(-0.305570\pi\) |
0.906288 | + | 0.422660i | \(0.138903\pi\) | |||||||
\(744\) | −0.00404361 | − | 0.00549141i | −0.000148246 | − | 0.000201325i | ||||
\(745\) | −4.00586 | + | 2.31278i | −0.146763 | + | 0.0847338i | ||||
\(746\) | 24.0925 | + | 24.0925i | 0.882089 | + | 0.882089i | ||||
\(747\) | −20.1376 | + | 10.5869i | −0.736795 | + | 0.387355i | ||||
\(748\) | 2.94469 | − | 10.9897i | 0.107669 | − | 0.401825i | ||||
\(749\) | 0.456462 | − | 0.456462i | 0.0166788 | − | 0.0166788i | ||||
\(750\) | −0.192053 | − | 1.72137i | −0.00701277 | − | 0.0628556i | ||||
\(751\) | −5.24153 | − | 3.02620i | −0.191266 | − | 0.110428i | 0.401309 | − | 0.915943i | \(-0.368555\pi\) |
−0.592575 | + | 0.805515i | \(0.701889\pi\) | |||||||
\(752\) | 2.56753 | + | 9.58216i | 0.0936283 | + | 0.349425i | ||||
\(753\) | −46.7712 | − | 20.4668i | −1.70444 | − | 0.745850i | ||||
\(754\) | −22.6051 | − | 14.7409i | −0.823228 | − | 0.536831i | ||||
\(755\) | 7.44661i | 0.271010i | ||||||||
\(756\) | −3.55029 | + | 2.40358i | −0.129123 | + | 0.0874175i | ||||
\(757\) | −5.09098 | + | 8.81784i | −0.185035 | + | 0.320490i | −0.943588 | − | 0.331121i | \(-0.892573\pi\) |
0.758553 | + | 0.651611i | \(0.225906\pi\) | |||||||
\(758\) | 11.9487 | + | 20.6958i | 0.433997 | + | 0.751705i | ||||
\(759\) | 21.5590 | − | 8.43418i | 0.782542 | − | 0.306141i | ||||
\(760\) | 1.17350 | + | 0.314438i | 0.0425673 | + | 0.0114059i | ||||
\(761\) | −47.4705 | − | 12.7197i | −1.72080 | − | 0.461088i | −0.742772 | − | 0.669545i | \(-0.766489\pi\) |
−0.978031 | + | 0.208457i | \(0.933156\pi\) | |||||||
\(762\) | 1.27360 | − | 0.498250i | 0.0461377 | − | 0.0180497i | ||||
\(763\) | −0.293870 | − | 0.508999i | −0.0106388 | − | 0.0184270i | ||||
\(764\) | 2.62831 | − | 4.55237i | 0.0950889 | − | 0.164699i | ||||
\(765\) | −7.60903 | − | 4.80423i | −0.275105 | − | 0.173697i | ||||
\(766\) | 22.6973i | 0.820086i | ||||||||
\(767\) | 14.6119 | + | 9.52851i | 0.527606 | + | 0.344055i | ||||
\(768\) | 1.58678 | + | 0.694363i | 0.0572579 | + | 0.0250557i | ||||
\(769\) | −0.157880 | − | 0.589218i | −0.00569331 | − | 0.0212477i | 0.963021 | − | 0.269427i | \(-0.0868344\pi\) |
−0.968714 | + | 0.248180i | \(0.920168\pi\) | |||||||
\(770\) | 2.71034 | + | 1.56482i | 0.0976740 | + | 0.0563921i | ||||
\(771\) | −2.48029 | − | 22.2309i | −0.0893255 | − | 0.800627i | ||||
\(772\) | −0.124615 | + | 0.124615i | −0.00448499 | + | 0.00448499i | ||||
\(773\) | −8.94546 | + | 33.3849i | −0.321746 | + | 1.20077i | 0.595797 | + | 0.803135i | \(0.296836\pi\) |
−0.917543 | + | 0.397637i | \(0.869830\pi\) | |||||||
\(774\) | 5.49201 | + | 10.4464i | 0.197406 | + | 0.375489i | ||||
\(775\) | 0.00278407 | + | 0.00278407i | 0.000100007 | + | 0.000100007i | ||||
\(776\) | 6.86499 | − | 3.96350i | 0.246439 | − | 0.142281i | ||||
\(777\) | −9.64092 | − | 13.0928i | −0.345866 | − | 0.469703i | ||||
\(778\) | 9.46711 | − | 2.53671i | 0.339412 | − | 0.0909453i | ||||
\(779\) | 5.80464 | 0.207973 | ||||||||
\(780\) | 6.23491 | − | 0.354870i | 0.223245 | − | 0.0127064i | ||||
\(781\) | −22.3851 | −0.801001 | ||||||||
\(782\) | −10.2098 | + | 2.73570i | −0.365101 | + | 0.0978284i | ||||
\(783\) | −7.35536 | + | 38.1901i | −0.262859 | + | 1.36480i | ||||
\(784\) | 5.47258 | − | 3.15960i | 0.195449 | − | 0.112843i | ||||
\(785\) | −3.08843 | − | 3.08843i | −0.110231 | − | 0.110231i | ||||
\(786\) | 0.832907 | + | 0.665707i | 0.0297088 | + | 0.0237450i | ||||
\(787\) | −5.66965 | + | 21.1594i | −0.202101 | + | 0.754252i | 0.788212 | + | 0.615403i | \(0.211007\pi\) |
−0.990314 | + | 0.138849i | \(0.955660\pi\) | |||||||
\(788\) | 5.17241 | − | 5.17241i | 0.184259 | − | 0.184259i | ||||
\(789\) | 47.5046 | − | 5.30006i | 1.69121 | − | 0.188687i | ||||
\(790\) | 5.11782 | + | 2.95478i | 0.182084 | + | 0.105126i | ||||
\(791\) | −1.33560 | − | 4.98453i | −0.0474885 | − | 0.177229i | ||||
\(792\) | 8.35822 | − | 7.72146i | 0.296996 | − | 0.274370i | ||||
\(793\) | −10.2153 | − | 48.5111i | −0.362757 | − | 1.72268i | ||||
\(794\) | 25.0689i | 0.889664i | ||||||||
\(795\) | −1.27582 | + | 8.40241i | −0.0452488 | + | 0.298003i | ||||
\(796\) | −9.76412 | + | 16.9120i | −0.346080 | + | 0.599428i | ||||
\(797\) | −5.47802 | − | 9.48820i | −0.194041 | − | 0.336089i | 0.752545 | − | 0.658541i | \(-0.228826\pi\) |
−0.946586 | + | 0.322452i | \(0.895493\pi\) | |||||||
\(798\) | 0.632560 | + | 1.61692i | 0.0223924 | + | 0.0572382i | ||||
\(799\) | −28.7426 | − | 7.70155i | −1.01684 | − | 0.272461i | ||||
\(800\) | −0.965926 | − | 0.258819i | −0.0341506 | − | 0.00915064i | ||||
\(801\) | 21.5248 | + | 0.852382i | 0.760541 | + | 0.0301174i | ||||
\(802\) | −15.9007 | − | 27.5409i | −0.561474 | − | 0.972502i | ||||
\(803\) | −22.7718 | + | 39.4418i | −0.803598 | + | 1.39187i | ||||
\(804\) | 19.8746 | + | 3.01777i | 0.700925 | + | 0.106429i | ||||
\(805\) | − | 2.90752i | − | 0.102476i | ||||||
\(806\) | −0.0105677 | + | 0.00947899i | −0.000372231 | + | 0.000333883i | ||||
\(807\) | −14.5234 | + | 33.1892i | −0.511247 | + | 1.16832i | ||||
\(808\) | 3.98163 | + | 14.8596i | 0.140073 | + | 0.522760i | ||||
\(809\) | 7.08136 | + | 4.08842i | 0.248967 | + | 0.143741i | 0.619291 | − | 0.785161i | \(-0.287420\pi\) |
−0.370324 | + | 0.928903i | \(0.620753\pi\) | |||||||
\(810\) | −3.86957 | − | 8.12566i | −0.135963 | − | 0.285507i | ||||
\(811\) | −25.8013 | + | 25.8013i | −0.906006 | + | 0.906006i | −0.995947 | − | 0.0899413i | \(-0.971332\pi\) |
0.0899413 | + | 0.995947i | \(0.471332\pi\) | |||||||
\(812\) | −1.59840 | + | 5.96533i | −0.0560930 | + | 0.209342i | ||||
\(813\) | 16.8732 | − | 21.1111i | 0.591770 | − | 0.740399i | ||||
\(814\) | 30.5140 | + | 30.5140i | 1.06952 | + | 1.06952i | ||||
\(815\) | −4.41355 | + | 2.54816i | −0.154600 | + | 0.0892583i | ||||
\(816\) | −4.18360 | + | 3.08060i | −0.146455 | + | 0.107843i | ||||
\(817\) | 4.61659 | − | 1.23701i | 0.161514 | − | 0.0432776i | ||||
\(818\) | −22.4973 | −0.786600 | ||||||||
\(819\) | 5.69181 | + | 6.87442i | 0.198888 | + | 0.240212i | ||||
\(820\) | −4.77790 | −0.166851 | ||||||||
\(821\) | 10.5495 | − | 2.82674i | 0.368181 | − | 0.0986539i | −0.0699844 | − | 0.997548i | \(-0.522295\pi\) |
0.438166 | + | 0.898894i | \(0.355628\pi\) | |||||||
\(822\) | 14.9600 | − | 11.0158i | 0.521791 | − | 0.384221i | ||||
\(823\) | 41.3492 | − | 23.8730i | 1.44134 | − | 0.832159i | 0.443403 | − | 0.896322i | \(-0.353771\pi\) |
0.997939 | + | 0.0641632i | \(0.0204378\pi\) | |||||||
\(824\) | −11.5932 | − | 11.5932i | −0.403867 | − | 0.403867i | ||||
\(825\) | −4.10170 | + | 5.13189i | −0.142803 | + | 0.178670i | ||||
\(826\) | 1.03321 | − | 3.85599i | 0.0359499 | − | 0.134167i | ||||
\(827\) | −11.8144 | + | 11.8144i | −0.410828 | + | 0.410828i | −0.882027 | − | 0.471199i | \(-0.843821\pi\) |
0.471199 | + | 0.882027i | \(0.343821\pi\) | |||||||
\(828\) | −10.0949 | − | 3.13797i | −0.350822 | − | 0.109052i | ||||
\(829\) | −16.8509 | − | 9.72886i | −0.585255 | − | 0.337897i | 0.177964 | − | 0.984037i | \(-0.443049\pi\) |
−0.763219 | + | 0.646140i | \(0.776382\pi\) | |||||||
\(830\) | −1.96279 | − | 7.32523i | −0.0681295 | − | 0.254263i | ||||
\(831\) | 16.8795 | − | 38.5734i | 0.585542 | − | 1.33810i | ||||
\(832\) | 1.12067 | − | 3.42697i | 0.0388523 | − | 0.118809i | ||||
\(833\) | 18.9550i | 0.656752i | ||||||||
\(834\) | 39.6936 | + | 6.02709i | 1.37448 | + | 0.208701i | ||||
\(835\) | 4.60993 | − | 7.98464i | 0.159533 | − | 0.276320i | ||||
\(836\) | −2.30404 | − | 3.99072i | −0.0796869 | − | 0.138022i | ||||
\(837\) | 0.0184035 | + | 0.00893689i | 0.000636118 | + | 0.000308904i | ||||
\(838\) | −18.1696 | − | 4.86852i | −0.627658 | − | 0.168180i | ||||
\(839\) | 1.11041 | + | 0.297534i | 0.0383357 | + | 0.0102720i | 0.277936 | − | 0.960600i | \(-0.410350\pi\) |
−0.239600 | + | 0.970872i | \(0.577016\pi\) | |||||||
\(840\) | −0.520671 | − | 1.33091i | −0.0179649 | − | 0.0459208i | ||||
\(841\) | 13.5109 | + | 23.4016i | 0.465893 | + | 0.806950i | ||||
\(842\) | −16.2347 | + | 28.1193i | −0.559484 | + | 0.969055i | ||||
\(843\) | 6.14611 | − | 40.4775i | 0.211683 | − | 1.39412i | ||||
\(844\) | 6.09178i | 0.209688i | ||||||||
\(845\) | −1.98497 | − | 12.8476i | −0.0682852 | − | 0.441970i | ||||
\(846\) | −20.1947 | − | 21.8601i | −0.694309 | − | 0.751565i | ||||
\(847\) | −0.723258 | − | 2.69923i | −0.0248514 | − | 0.0927468i | ||||
\(848\) | 4.24936 | + | 2.45337i | 0.145924 | + | 0.0842490i | ||||
\(849\) | −38.8575 | + | 4.33531i | −1.33359 | + | 0.148788i | ||||
\(850\) | 2.12103 | − | 2.12103i | 0.0727508 | − | 0.0727508i | ||||
\(851\) | 10.3762 | − | 38.7246i | 0.355692 | − | 1.32746i | ||||
\(852\) | 7.98496 | + | 6.38204i | 0.273560 | + | 0.218645i | ||||
\(853\) | −35.2653 | − | 35.2653i | −1.20746 | − | 1.20746i | −0.971847 | − | 0.235613i | \(-0.924290\pi\) |
−0.235613 | − | 0.971847i | \(-0.575710\pi\) | |||||||
\(854\) | −9.82502 | + | 5.67248i | −0.336205 | + | 0.194108i | ||||
\(855\) | −3.55506 | + | 0.803273i | −0.121581 | + | 0.0274713i | ||||
\(856\) | 0.755704 | − | 0.202490i | 0.0258294 | − | 0.00692097i | ||||
\(857\) | −39.7560 | −1.35804 | −0.679020 | − | 0.734120i | \(-0.737595\pi\) | ||||
−0.679020 | + | 0.734120i | \(0.737595\pi\) | |||||||
\(858\) | −17.6741 | − | 15.7705i | −0.603384 | − | 0.538397i | ||||
\(859\) | −38.7074 | −1.32068 | −0.660340 | − | 0.750967i | \(-0.729588\pi\) | ||||
−0.660340 | + | 0.750967i | \(0.729588\pi\) | |||||||
\(860\) | −3.79999 | + | 1.01821i | −0.129579 | + | 0.0347205i | ||||
\(861\) | −4.04876 | − | 5.49841i | −0.137982 | − | 0.187385i | ||||
\(862\) | −18.9532 | + | 10.9426i | −0.645547 | + | 0.372707i | ||||
\(863\) | −2.57323 | − | 2.57323i | −0.0875939 | − | 0.0875939i | 0.661952 | − | 0.749546i | \(-0.269728\pi\) |
−0.749546 | + | 0.661952i | \(0.769728\pi\) | |||||||
\(864\) | −5.18286 | + | 0.371368i | −0.176325 | + | 0.0126342i | ||||
\(865\) | −1.42312 | + | 5.31117i | −0.0483876 | + | 0.180585i | ||||
\(866\) | 4.77724 | − | 4.77724i | 0.162337 | − | 0.162337i | ||||
\(867\) | 1.53689 | + | 13.7752i | 0.0521956 | + | 0.467830i | ||||
\(868\) | 0.00281344 | + | 0.00162434i | 9.54945e−5 | + | 5.51337e-5i | ||||
\(869\) | −5.80139 | − | 21.6511i | −0.196799 | − | 0.734463i | ||||
\(870\) | −11.8767 | − | 5.19715i | −0.402656 | − | 0.176200i | ||||
\(871\) | 2.26926 | − | 41.7850i | 0.0768910 | − | 1.41583i | ||||
\(872\) | − | 0.712318i | − | 0.0241221i | ||||||
\(873\) | −12.6961 | + | 20.1083i | −0.429698 | + | 0.680564i | ||||
\(874\) | −2.14052 | + | 3.70748i | −0.0724041 | + | 0.125408i | ||||
\(875\) | 0.412555 | + | 0.714566i | 0.0139469 | + | 0.0241568i | ||||
\(876\) | 19.3679 | − | 7.57698i | 0.654380 | − | 0.256003i | ||||
\(877\) | 46.1278 | + | 12.3599i | 1.55763 | + | 0.417365i | 0.931911 | − | 0.362687i | \(-0.118141\pi\) |
0.625715 | + | 0.780051i | \(0.284807\pi\) | |||||||
\(878\) | 26.2378 | + | 7.03041i | 0.885484 | + | 0.237265i | ||||
\(879\) | −46.6631 | + | 18.2553i | −1.57391 | + | 0.615734i | ||||
\(880\) | 1.89649 | + | 3.28482i | 0.0639308 | + | 0.110731i | ||||
\(881\) | 22.1331 | − | 38.3356i | 0.745682 | − | 1.29156i | −0.204193 | − | 0.978931i | \(-0.565457\pi\) |
0.949875 | − | 0.312629i | \(-0.101210\pi\) | |||||||
\(882\) | −10.1210 | + | 16.0298i | −0.340792 | + | 0.539752i | ||||
\(883\) | − | 30.2826i | − | 1.01909i | −0.860444 | − | 0.509545i | \(-0.829814\pi\) | ||
0.860444 | − | 0.509545i | \(-0.170186\pi\) | |||||||
\(884\) | 7.22153 | + | 8.05094i | 0.242886 | + | 0.270783i | ||||
\(885\) | 7.67708 | + | 3.35944i | 0.258062 | + | 0.112926i | ||||
\(886\) | −7.90533 | − | 29.5031i | −0.265585 | − | 0.991176i | ||||
\(887\) | 25.8425 | + | 14.9201i | 0.867705 | + | 0.500970i | 0.866585 | − | 0.499030i | \(-0.166310\pi\) |
0.00111997 | + | 0.999999i | \(0.499644\pi\) | |||||||
\(888\) | −2.18501 | − | 19.5843i | −0.0733241 | − | 0.657205i | ||||
\(889\) | −0.460674 | + | 0.460674i | −0.0154505 | + | 0.0154505i | ||||
\(890\) | −1.85846 | + | 6.93588i | −0.0622959 | + | 0.232491i | ||||
\(891\) | −11.4150 | + | 32.1718i | −0.382418 | + | 1.07780i | ||||
\(892\) | −5.87739 | − | 5.87739i | −0.196790 | − | 0.196790i | ||||
\(893\) | −10.4373 | + | 6.02599i | −0.349272 | + | 0.201652i | ||||
\(894\) | −4.75049 | − | 6.45139i | −0.158880 | − | 0.215767i | ||||
\(895\) | 4.64624 | − | 1.24496i | 0.155307 | − | 0.0416143i | ||||
\(896\) | −0.825110 | −0.0275650 | ||||||||
\(897\) | −4.47851 | + | 21.5455i | −0.149533 | + | 0.719384i | ||||
\(898\) | 15.2586 | 0.509188 | ||||||||
\(899\) | 0.0284654 | − | 0.00762729i | 0.000949375 | − | 0.000254384i | ||||
\(900\) | 2.92623 | − | 0.661187i | 0.0975411 | − | 0.0220396i | ||||
\(901\) | −12.7463 | + | 7.35910i | −0.424642 | + | 0.245167i | ||||
\(902\) | 12.8146 | + | 12.8146i | 0.426678 | + | 0.426678i | ||||
\(903\) | −4.39185 | − | 3.51022i | −0.146151 | − | 0.116813i | ||||
\(904\) | 1.61869 | − | 6.04105i | 0.0538369 | − | 0.200922i | ||||
\(905\) | 6.84993 | − | 6.84993i | 0.227699 | − | 0.227699i | ||||
\(906\) | −12.8184 | + | 1.43014i | −0.425862 | + | 0.0475132i | ||||
\(907\) | 31.8087 | + | 18.3647i | 1.05619 | + | 0.609791i | 0.924376 | − | 0.381483i | \(-0.124587\pi\) |
0.131814 | + | 0.991274i | \(0.457920\pi\) | |||||||
\(908\) | −5.28248 | − | 19.7145i | −0.175305 | − | 0.654248i | ||||
\(909\) | −31.3172 | − | 33.8998i | −1.03873 | − | 1.12438i | ||||
\(910\) | −2.65328 | + | 1.34559i | −0.0879553 | + | 0.0446058i | ||||
\(911\) | − | 35.9584i | − | 1.19136i | −0.803223 | − | 0.595678i | \(-0.796883\pi\) | ||
0.803223 | − | 0.595678i | \(-0.203117\pi\) | |||||||
\(912\) | −0.315891 | + | 2.08041i | −0.0104602 | + | 0.0688894i | ||||
\(913\) | −14.3823 | + | 24.9109i | −0.475986 | + | 0.824431i | ||||
\(914\) | −1.83877 | − | 3.18485i | −0.0608212 | − | 0.105345i | ||||
\(915\) | −8.67645 | − | 22.1783i | −0.286835 | − | 0.733191i | ||||
\(916\) | −0.990963 | − | 0.265528i | −0.0327423 | − | 0.00877328i | ||||
\(917\) | −0.490632 | − | 0.131465i | −0.0162021 | − | 0.00434134i | ||||
\(918\) | 6.80853 | − | 14.0206i | 0.224715 | − | 0.462749i | ||||
\(919\) | −4.72834 | − | 8.18972i | −0.155974 | − | 0.270154i | 0.777440 | − | 0.628958i | \(-0.216518\pi\) |
−0.933413 | + | 0.358804i | \(0.883185\pi\) | |||||||
\(920\) | 1.76190 | − | 3.05169i | 0.0580880 | − | 0.100611i | ||||
\(921\) | 12.7821 | + | 1.94084i | 0.421184 | + | 0.0639528i | ||||
\(922\) | − | 19.1292i | − | 0.629985i | ||||||
\(923\) | 11.6231 | − | 17.8240i | 0.382579 | − | 0.586683i | ||||
\(924\) | −2.17310 | + | 4.96603i | −0.0714898 | + | 0.163370i | ||||
\(925\) | 2.94462 | + | 10.9895i | 0.0968185 | + | 0.361332i | ||||
\(926\) | −34.4914 | − | 19.9136i | −1.13346 | − | 0.654401i | ||||
\(927\) | 46.9687 | + | 14.6001i | 1.54265 | + | 0.479530i | ||||
\(928\) | −5.29253 | + | 5.29253i | −0.173736 | + | 0.173736i | ||||
\(929\) | −6.29712 | + | 23.5012i | −0.206602 | + | 0.771048i | 0.782354 | + | 0.622834i | \(0.214019\pi\) |
−0.988955 | + | 0.148214i | \(0.952648\pi\) | |||||||
\(930\) | −0.00425773 | + | 0.00532711i | −0.000139616 | + | 0.000174683i | ||||
\(931\) | 5.42857 | + | 5.42857i | 0.177914 | + | 0.177914i | ||||
\(932\) | −10.1167 | + | 5.84090i | −0.331385 | + | 0.191325i | ||||
\(933\) | −24.1170 | + | 17.7586i | −0.789555 | + | 0.581390i | ||||
\(934\) | −30.6054 | + | 8.20070i | −1.00144 | + | 0.268335i | ||||
\(935\) | −11.3774 | −0.372081 | ||||||||
\(936\) | 1.80829 | + | 10.6644i | 0.0591059 | + | 0.348578i | ||||
\(937\) | −33.2229 | −1.08534 | −0.542672 | − | 0.839945i | \(-0.682587\pi\) | ||||
−0.542672 | + | 0.839945i | \(0.682587\pi\) | |||||||
\(938\) | −9.25005 | + | 2.47854i | −0.302025 | + | 0.0809273i | ||||
\(939\) | 5.18033 | − | 3.81454i | 0.169054 | − | 0.124483i | ||||
\(940\) | 8.59113 | − | 4.96009i | 0.280212 | − | 0.161780i | ||||
\(941\) | −5.22787 | − | 5.22787i | −0.170424 | − | 0.170424i | 0.616742 | − | 0.787166i | \(-0.288452\pi\) |
−0.787166 | + | 0.616742i | \(0.788452\pi\) | |||||||
\(942\) | 4.72319 | − | 5.90947i | 0.153890 | − | 0.192541i | ||||
\(943\) | 4.35756 | − | 16.2626i | 0.141902 | − | 0.529584i | ||||
\(944\) | 3.42109 | − | 3.42109i | 0.111347 | − | 0.111347i | ||||
\(945\) | 3.24057 | + | 2.80722i | 0.105416 | + | 0.0913190i | ||||
\(946\) | 12.9226 | + | 7.46089i | 0.420151 | + | 0.242574i | ||||
\(947\) | 4.28531 | + | 15.9930i | 0.139254 | + | 0.519703i | 0.999944 | + | 0.0105737i | \(0.00336579\pi\) |
−0.860690 | + | 0.509129i | \(0.829968\pi\) | |||||||
\(948\) | −4.10337 | + | 9.37714i | −0.133271 | + | 0.304555i | ||||
\(949\) | −19.5814 | − | 38.6114i | −0.635640 | − | 1.25338i | ||||
\(950\) | − | 1.21489i | − | 0.0394164i | ||||||
\(951\) | 28.7749 | + | 4.36920i | 0.933091 | + | 0.141681i | ||||
\(952\) | 1.23750 | − | 2.14341i | 0.0401075 | − | 0.0694682i | ||||
\(953\) | −3.83233 | − | 6.63779i | −0.124141 | − | 0.215019i | 0.797256 | − | 0.603642i | \(-0.206284\pi\) |
−0.921397 | + | 0.388623i | \(0.872951\pi\) | |||||||
\(954\) | −14.7087 | − | 0.582463i | −0.476211 | − | 0.0188580i | ||||
\(955\) | −5.07751 | − | 1.36051i | −0.164304 | − | 0.0440252i | ||||
\(956\) | −19.6542 | − | 5.26633i | −0.635662 | − | 0.170325i | ||||
\(957\) | 17.9148 | + | 45.7928i | 0.579102 | + | 1.48027i | ||||
\(958\) | −12.8383 | − | 22.2366i | −0.414788 | − | 0.718433i | ||||
\(959\) | −4.42513 | + | 7.66455i | −0.142895 | + | 0.247501i | ||||
\(960\) | 0.260015 | − | 1.71242i | 0.00839195 | − | 0.0552682i | ||||
\(961\) | 31.0000i | 0.999999i | ||||||||
\(962\) | −40.1405 | + | 8.45267i | −1.29418 | + | 0.272525i | ||||
\(963\) | −1.72401 | + | 1.59267i | −0.0555555 | + | 0.0513231i | ||||
\(964\) | 4.66870 | + | 17.4238i | 0.150369 | + | 0.561184i | ||||
\(965\) | 0.152621 | + | 0.0881160i | 0.00491306 | + | 0.00283655i | ||||
\(966\) | 5.00491 | − | 0.558396i | 0.161030 | − | 0.0179661i | ||||
\(967\) | −19.4699 | + | 19.4699i | −0.626110 | + | 0.626110i | −0.947087 | − | 0.320977i | \(-0.895989\pi\) |
0.320977 | + | 0.947087i | \(0.395989\pi\) | |||||||
\(968\) | 0.876559 | − | 3.27136i | 0.0281737 | − | 0.105146i | ||||
\(969\) | −4.93056 | − | 3.94079i | −0.158393 | − | 0.126596i | ||||
\(970\) | −5.60524 | − | 5.60524i | −0.179973 | − | 0.179973i | ||||
\(971\) | −43.2649 | + | 24.9790i | −1.38844 | + | 0.801613i | −0.993139 | − | 0.116940i | \(-0.962691\pi\) |
−0.395296 | + | 0.918554i | \(0.629358\pi\) | |||||||
\(972\) | 13.2441 | − | 8.22152i | 0.424805 | − | 0.263705i | ||||
\(973\) | −18.4742 | + | 4.95014i | −0.592255 | + | 0.158694i | ||||
\(974\) | 24.0727 | 0.771340 | ||||||||
\(975\) | −1.95649 | − | 5.93061i | −0.0626579 | − | 0.189932i | ||||
\(976\) | −13.7496 | −0.440115 | ||||||||
\(977\) | −27.6307 | + | 7.40363i | −0.883985 | + | 0.236863i | −0.672126 | − | 0.740437i | \(-0.734618\pi\) |
−0.211859 | + | 0.977300i | \(0.567952\pi\) | |||||||
\(978\) | −5.23397 | − | 7.10797i | −0.167364 | − | 0.227288i | ||||
\(979\) | 23.5869 | − | 13.6179i | 0.753839 | − | 0.435229i | ||||
\(980\) | −4.46834 | − | 4.46834i | −0.142736 | − | 0.142736i | ||||
\(981\) | 0.994412 | + | 1.89149i | 0.0317491 | + | 0.0603905i | ||||
\(982\) | −2.59493 | + | 9.68440i | −0.0828074 | + | 0.309042i | ||||
\(983\) | 31.5486 | − | 31.5486i | 1.00624 | − | 1.00624i | 0.00626241 | − | 0.999980i | \(-0.498007\pi\) |
0.999980 | − | 0.00626241i | \(-0.00199340\pi\) | |||||||
\(984\) | −0.917607 | − | 8.22453i | −0.0292523 | − | 0.262189i | ||||
\(985\) | −6.33488 | − | 3.65744i | −0.201846 | − | 0.116536i | ||||
\(986\) | −5.81081 | − | 21.6862i | −0.185054 | − | 0.690631i | ||||
\(987\) | 12.9882 | + | 5.68353i | 0.413418 | + | 0.180909i | ||||
\(988\) | 4.37392 | + | 0.237539i | 0.139153 | + | 0.00755712i | ||||
\(989\) | − | 13.8627i | − | 0.440810i | ||||||
\(990\) | −9.62163 | − | 6.07496i | −0.305795 | − | 0.193075i | ||||
\(991\) | 16.8825 | − | 29.2414i | 0.536291 | − | 0.928883i | −0.462809 | − | 0.886458i | \(-0.653158\pi\) |
0.999100 | − | 0.0424251i | \(-0.0135084\pi\) | |||||||
\(992\) | 0.00196864 | + | 0.00340978i | 6.25043e−5 | + | 0.000108261i | ||||
\(993\) | 31.3704 | − | 12.2726i | 0.995511 | − | 0.389458i | ||||
\(994\) | −4.70362 | − | 1.26033i | −0.149190 | − | 0.0399753i | ||||
\(995\) | 18.8628 | + | 5.05428i | 0.597992 | + | 0.160231i | ||||
\(996\) | 12.2325 | − | 4.78552i | 0.387601 | − | 0.151635i | ||||
\(997\) | −3.58159 | − | 6.20350i | −0.113430 | − | 0.196467i | 0.803721 | − | 0.595006i | \(-0.202850\pi\) |
−0.917151 | + | 0.398540i | \(0.869517\pi\) | |||||||
\(998\) | 10.7600 | − | 18.6369i | 0.340603 | − | 0.589942i | ||||
\(999\) | 33.1421 | + | 48.9537i | 1.04857 | + | 1.54883i |
(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 | 390.2.bh.c.71.2 | yes | 40 | |
3.2 | odd | 2 | inner | 390.2.bh.c.71.7 | yes | 40 | |
13.11 | odd | 12 | inner | 390.2.bh.c.11.7 | yes | 40 | |
39.11 | even | 12 | inner | 390.2.bh.c.11.2 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bh.c.11.2 | ✓ | 40 | 39.11 | even | 12 | inner | |
390.2.bh.c.11.7 | yes | 40 | 13.11 | odd | 12 | inner | |
390.2.bh.c.71.2 | yes | 40 | 1.1 | even | 1 | trivial | |
390.2.bh.c.71.7 | yes | 40 | 3.2 | odd | 2 | inner |