Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(0.222521 + 0.974928i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.2.e.a.4.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.777479 | − | 0.974928i | −0.549761 | − | 0.689378i | 0.426867 | − | 0.904314i | \(-0.359617\pi\) |
−0.976628 | + | 0.214936i | \(0.931046\pi\) | |||||||
\(3\) | 0.277479 | − | 0.347948i | 0.160203 | − | 0.200888i | −0.695251 | − | 0.718767i | \(-0.744707\pi\) |
0.855454 | + | 0.517879i | \(0.173278\pi\) | |||||||
\(4\) | 0.0990311 | − | 0.433884i | 0.0495156 | − | 0.216942i | ||||
\(5\) | −0.500000 | + | 0.240787i | −0.223607 | + | 0.107683i | −0.542334 | − | 0.840163i | \(-0.682459\pi\) |
0.318727 | + | 0.947847i | \(0.396745\pi\) | |||||||
\(6\) | −0.554958 | −0.226561 | ||||||||
\(7\) | 1.35690 | 0.512858 | 0.256429 | − | 0.966563i | \(-0.417454\pi\) | ||||
0.256429 | + | 0.966563i | \(0.417454\pi\) | |||||||
\(8\) | −2.74698 | + | 1.32288i | −0.971204 | + | 0.467707i | ||||
\(9\) | 0.623490 | + | 2.73169i | 0.207830 | + | 0.910562i | ||||
\(10\) | 0.623490 | + | 0.300257i | 0.197165 | + | 0.0949496i | ||||
\(11\) | 0.480386 | + | 2.10471i | 0.144842 | + | 0.634593i | 0.994271 | + | 0.106890i | \(0.0340894\pi\) |
−0.849429 | + | 0.527703i | \(0.823053\pi\) | |||||||
\(12\) | −0.123490 | − | 0.154851i | −0.0356484 | − | 0.0447017i | ||||
\(13\) | −1.42543 | + | 0.686450i | −0.395342 | + | 0.190387i | −0.620984 | − | 0.783824i | \(-0.713267\pi\) |
0.225641 | + | 0.974211i | \(0.427552\pi\) | |||||||
\(14\) | −1.05496 | − | 1.32288i | −0.281949 | − | 0.353553i | ||||
\(15\) | −0.0549581 | + | 0.240787i | −0.0141901 | + | 0.0621710i | ||||
\(16\) | 2.62349 | + | 1.26341i | 0.655872 | + | 0.315852i | ||||
\(17\) | −2.24698 | − | 1.08209i | −0.544973 | − | 0.262445i | 0.141078 | − | 0.989998i | \(-0.454943\pi\) |
−0.686051 | + | 0.727553i | \(0.740657\pi\) | |||||||
\(18\) | 2.17845 | − | 2.73169i | 0.513465 | − | 0.643865i | ||||
\(19\) | 1.29105 | − | 5.65647i | 0.296188 | − | 1.29768i | −0.579566 | − | 0.814925i | \(-0.696778\pi\) |
0.875754 | − | 0.482758i | \(-0.160365\pi\) | |||||||
\(20\) | 0.0549581 | + | 0.240787i | 0.0122890 | + | 0.0538417i | ||||
\(21\) | 0.376510 | − | 0.472129i | 0.0821613 | − | 0.103027i | ||||
\(22\) | 1.67845 | − | 2.10471i | 0.357846 | − | 0.448725i | ||||
\(23\) | −1.13437 | − | 4.97002i | −0.236534 | − | 1.03632i | −0.944096 | − | 0.329670i | \(-0.893062\pi\) |
0.707563 | − | 0.706651i | \(-0.249795\pi\) | |||||||
\(24\) | −0.301938 | + | 1.32288i | −0.0616328 | + | 0.270031i | ||||
\(25\) | −2.92543 | + | 3.66837i | −0.585086 | + | 0.733674i | ||||
\(26\) | 1.77748 | + | 0.855989i | 0.348592 | + | 0.167873i | ||||
\(27\) | 2.32640 | + | 1.12033i | 0.447715 | + | 0.215608i | ||||
\(28\) | 0.134375 | − | 0.588735i | 0.0253945 | − | 0.111260i | ||||
\(29\) | −3.74094 | − | 4.69099i | −0.694675 | − | 0.871095i | 0.301938 | − | 0.953327i | \(-0.402366\pi\) |
−0.996613 | + | 0.0822327i | \(0.973795\pi\) | |||||||
\(30\) | 0.277479 | − | 0.133627i | 0.0506605 | − | 0.0243968i | ||||
\(31\) | 4.75451 | + | 5.96197i | 0.853936 | + | 1.07080i | 0.996710 | + | 0.0810462i | \(0.0258261\pi\) |
−0.142775 | + | 0.989755i | \(0.545602\pi\) | |||||||
\(32\) | 0.548917 | + | 2.40496i | 0.0970358 | + | 0.425142i | ||||
\(33\) | 0.865625 | + | 0.416863i | 0.150686 | + | 0.0725665i | ||||
\(34\) | 0.692021 | + | 3.03194i | 0.118681 | + | 0.519974i | ||||
\(35\) | −0.678448 | + | 0.326723i | −0.114679 | + | 0.0552263i | ||||
\(36\) | 1.24698 | 0.207830 | ||||||||
\(37\) | −7.18598 | −1.18137 | −0.590684 | − | 0.806903i | \(-0.701142\pi\) | ||||
−0.590684 | + | 0.806903i | \(0.701142\pi\) | |||||||
\(38\) | −6.51842 | + | 3.13910i | −1.05743 | + | 0.509230i | ||||
\(39\) | −0.156678 | + | 0.686450i | −0.0250885 | + | 0.109920i | ||||
\(40\) | 1.05496 | − | 1.32288i | 0.166804 | − | 0.209165i | ||||
\(41\) | 6.54288 | + | 8.20451i | 1.02183 | + | 1.28133i | 0.959031 | + | 0.283302i | \(0.0914300\pi\) |
0.0627950 | + | 0.998026i | \(0.479999\pi\) | |||||||
\(42\) | −0.753020 | −0.116194 | ||||||||
\(43\) | −3.91454 | − | 5.26083i | −0.596962 | − | 0.802269i | ||||
\(44\) | 0.960771 | 0.144842 | ||||||||
\(45\) | −0.969501 | − | 1.21572i | −0.144525 | − | 0.181228i | ||||
\(46\) | −3.96346 | + | 4.97002i | −0.584380 | + | 0.732790i | ||||
\(47\) | 2.43416 | − | 10.6647i | 0.355058 | − | 1.55561i | −0.410265 | − | 0.911966i | \(-0.634564\pi\) |
0.765324 | − | 0.643646i | \(-0.222579\pi\) | |||||||
\(48\) | 1.16756 | − | 0.562269i | 0.168523 | − | 0.0811565i | ||||
\(49\) | −5.15883 | −0.736976 | ||||||||
\(50\) | 5.85086 | 0.827436 | ||||||||
\(51\) | −1.00000 | + | 0.481575i | −0.140028 | + | 0.0674339i | ||||
\(52\) | 0.156678 | + | 0.686450i | 0.0217273 | + | 0.0951934i | ||||
\(53\) | 2.77144 | + | 1.33465i | 0.380686 | + | 0.183329i | 0.614434 | − | 0.788969i | \(-0.289385\pi\) |
−0.233747 | + | 0.972297i | \(0.575099\pi\) | |||||||
\(54\) | −0.716480 | − | 3.13910i | −0.0975006 | − | 0.427178i | ||||
\(55\) | −0.746980 | − | 0.936683i | −0.100723 | − | 0.126302i | ||||
\(56\) | −3.72737 | + | 1.79500i | −0.498090 | + | 0.239868i | ||||
\(57\) | −1.60992 | − | 2.01877i | −0.213239 | − | 0.267393i | ||||
\(58\) | −1.66487 | + | 7.29429i | −0.218609 | + | 0.957787i | ||||
\(59\) | 6.57338 | + | 3.16557i | 0.855781 | + | 0.412122i | 0.809720 | − | 0.586816i | \(-0.199619\pi\) |
0.0460606 | + | 0.998939i | \(0.485333\pi\) | |||||||
\(60\) | 0.0990311 | + | 0.0476909i | 0.0127849 | + | 0.00615687i | ||||
\(61\) | 5.04892 | − | 6.33114i | 0.646448 | − | 0.810620i | −0.345345 | − | 0.938476i | \(-0.612238\pi\) |
0.991793 | + | 0.127856i | \(0.0408096\pi\) | |||||||
\(62\) | 2.11596 | − | 9.27061i | 0.268727 | − | 1.17737i | ||||
\(63\) | 0.846011 | + | 3.70662i | 0.106587 | + | 0.466990i | ||||
\(64\) | 5.54892 | − | 6.95812i | 0.693615 | − | 0.869765i | ||||
\(65\) | 0.547425 | − | 0.686450i | 0.0678998 | − | 0.0851436i | ||||
\(66\) | −0.266594 | − | 1.16802i | −0.0328154 | − | 0.143774i | ||||
\(67\) | −1.64310 | + | 7.19891i | −0.200737 | + | 0.879487i | 0.769752 | + | 0.638343i | \(0.220380\pi\) |
−0.970489 | + | 0.241144i | \(0.922477\pi\) | |||||||
\(68\) | −0.692021 | + | 0.867767i | −0.0839199 | + | 0.105232i | ||||
\(69\) | −2.04407 | − | 0.984374i | −0.246077 | − | 0.118505i | ||||
\(70\) | 0.846011 | + | 0.407417i | 0.101118 | + | 0.0486957i | ||||
\(71\) | 0.374354 | − | 1.64015i | 0.0444277 | − | 0.194650i | −0.947844 | − | 0.318735i | \(-0.896742\pi\) |
0.992272 | + | 0.124084i | \(0.0395993\pi\) | |||||||
\(72\) | −5.32640 | − | 6.67909i | −0.627722 | − | 0.787138i | ||||
\(73\) | 3.58426 | − | 1.72609i | 0.419506 | − | 0.202023i | −0.212209 | − | 0.977224i | \(-0.568066\pi\) |
0.631715 | + | 0.775201i | \(0.282351\pi\) | |||||||
\(74\) | 5.58695 | + | 7.00581i | 0.649470 | + | 0.814409i | ||||
\(75\) | 0.464656 | + | 2.03579i | 0.0536539 | + | 0.235073i | ||||
\(76\) | −2.32640 | − | 1.12033i | −0.266856 | − | 0.128511i | ||||
\(77\) | 0.651833 | + | 2.85587i | 0.0742833 | + | 0.325456i | ||||
\(78\) | 0.791053 | − | 0.380951i | 0.0895691 | − | 0.0431342i | ||||
\(79\) | −2.08815 | −0.234935 | −0.117467 | − | 0.993077i | \(-0.537478\pi\) | ||||
−0.117467 | + | 0.993077i | \(0.537478\pi\) | |||||||
\(80\) | −1.61596 | −0.180669 | ||||||||
\(81\) | −6.53803 | + | 3.14855i | −0.726448 | + | 0.349839i | ||||
\(82\) | 2.91185 | − | 12.7577i | 0.321560 | − | 1.40885i | ||||
\(83\) | 0.571884 | − | 0.717120i | 0.0627724 | − | 0.0787141i | −0.749454 | − | 0.662056i | \(-0.769684\pi\) |
0.812226 | + | 0.583342i | \(0.198255\pi\) | |||||||
\(84\) | −0.167563 | − | 0.210117i | −0.0182826 | − | 0.0229257i | ||||
\(85\) | 1.38404 | 0.150121 | ||||||||
\(86\) | −2.08546 | + | 7.90658i | −0.224881 | + | 0.852589i | ||||
\(87\) | −2.67025 | −0.286281 | ||||||||
\(88\) | −4.10388 | − | 5.14610i | −0.437475 | − | 0.548576i | ||||
\(89\) | −0.928116 | + | 1.16382i | −0.0983801 | + | 0.123365i | −0.828585 | − | 0.559864i | \(-0.810853\pi\) |
0.730204 | + | 0.683229i | \(0.239425\pi\) | |||||||
\(90\) | −0.431468 | + | 1.89039i | −0.0454808 | + | 0.199264i | ||||
\(91\) | −1.93416 | + | 0.931441i | −0.202755 | + | 0.0976415i | ||||
\(92\) | −2.26875 | −0.236534 | ||||||||
\(93\) | 3.39373 | 0.351914 | ||||||||
\(94\) | −12.2899 | + | 5.91848i | −1.26760 | + | 0.610445i | ||||
\(95\) | 0.716480 | + | 3.13910i | 0.0735093 | + | 0.322065i | ||||
\(96\) | 0.989115 | + | 0.476333i | 0.100951 | + | 0.0486155i | ||||
\(97\) | 3.36563 | + | 14.7458i | 0.341727 | + | 1.49721i | 0.795426 | + | 0.606051i | \(0.207247\pi\) |
−0.453699 | + | 0.891155i | \(0.649896\pi\) | |||||||
\(98\) | 4.01089 | + | 5.02949i | 0.405161 | + | 0.508055i | ||||
\(99\) | −5.44989 | + | 2.62453i | −0.547734 | + | 0.263775i | ||||
\(100\) | 1.30194 | + | 1.63258i | 0.130194 | + | 0.163258i | ||||
\(101\) | 0.755176 | − | 3.30864i | 0.0751429 | − | 0.329222i | −0.923359 | − | 0.383937i | \(-0.874568\pi\) |
0.998502 | + | 0.0547150i | \(0.0174250\pi\) | |||||||
\(102\) | 1.24698 | + | 0.600514i | 0.123469 | + | 0.0594597i | ||||
\(103\) | 4.59299 | + | 2.21187i | 0.452561 | + | 0.217942i | 0.646257 | − | 0.763120i | \(-0.276333\pi\) |
−0.193696 | + | 0.981062i | \(0.562048\pi\) | |||||||
\(104\) | 3.00753 | − | 3.77133i | 0.294913 | − | 0.369809i | ||||
\(105\) | −0.0745725 | + | 0.326723i | −0.00727753 | + | 0.0318849i | ||||
\(106\) | −0.853543 | − | 3.73962i | −0.0829035 | − | 0.363224i | ||||
\(107\) | 0.192021 | − | 0.240787i | 0.0185634 | − | 0.0232778i | −0.772463 | − | 0.635060i | \(-0.780976\pi\) |
0.791027 | + | 0.611782i | \(0.209547\pi\) | |||||||
\(108\) | 0.716480 | − | 0.898438i | 0.0689433 | − | 0.0864522i | ||||
\(109\) | −3.04892 | − | 13.3582i | −0.292033 | − | 1.27948i | −0.881691 | − | 0.471828i | \(-0.843594\pi\) |
0.589657 | − | 0.807654i | \(-0.299263\pi\) | |||||||
\(110\) | −0.332437 | + | 1.45650i | −0.0316966 | + | 0.138872i | ||||
\(111\) | −1.99396 | + | 2.50035i | −0.189258 | + | 0.237322i | ||||
\(112\) | 3.55980 | + | 1.71431i | 0.336370 | + | 0.161987i | ||||
\(113\) | 17.0124 | + | 8.19273i | 1.60039 | + | 0.770707i | 0.999588 | − | 0.0286911i | \(-0.00913393\pi\) |
0.600801 | + | 0.799398i | \(0.294848\pi\) | |||||||
\(114\) | −0.716480 | + | 3.13910i | −0.0671045 | + | 0.294004i | ||||
\(115\) | 1.76391 | + | 2.21187i | 0.164485 | + | 0.206258i | ||||
\(116\) | −2.40581 | + | 1.15858i | −0.223374 | + | 0.107571i | ||||
\(117\) | −2.76391 | − | 3.46583i | −0.255523 | − | 0.320416i | ||||
\(118\) | −2.02446 | − | 8.86973i | −0.186367 | − | 0.816525i | ||||
\(119\) | −3.04892 | − | 1.46828i | −0.279494 | − | 0.134597i | ||||
\(120\) | −0.167563 | − | 0.734141i | −0.0152963 | − | 0.0670176i | ||||
\(121\) | 5.71164 | − | 2.75058i | 0.519240 | − | 0.250053i | ||||
\(122\) | −10.0978 | −0.914215 | ||||||||
\(123\) | 4.67025 | 0.421102 | ||||||||
\(124\) | 3.05765 | − | 1.47248i | 0.274585 | − | 0.132233i | ||||
\(125\) | 1.19687 | − | 5.24381i | 0.107051 | − | 0.469021i | ||||
\(126\) | 2.95593 | − | 3.70662i | 0.263335 | − | 0.330212i | ||||
\(127\) | −3.11410 | − | 3.90495i | −0.276331 | − | 0.346509i | 0.624228 | − | 0.781243i | \(-0.285414\pi\) |
−0.900559 | + | 0.434734i | \(0.856842\pi\) | |||||||
\(128\) | −6.16421 | −0.544844 | ||||||||
\(129\) | −2.91670 | − | 0.0977147i | −0.256801 | − | 0.00860330i | ||||
\(130\) | −1.09485 | −0.0960248 | ||||||||
\(131\) | −11.1773 | − | 14.0158i | −0.976561 | − | 1.22457i | −0.974458 | − | 0.224571i | \(-0.927902\pi\) |
−0.00210326 | − | 0.999998i | \(-0.500669\pi\) | |||||||
\(132\) | 0.266594 | − | 0.334298i | 0.0232040 | − | 0.0290969i | ||||
\(133\) | 1.75182 | − | 7.67524i | 0.151902 | − | 0.665528i | ||||
\(134\) | 8.29590 | − | 3.99509i | 0.716656 | − | 0.345124i | ||||
\(135\) | −1.43296 | −0.123330 | ||||||||
\(136\) | 7.60388 | 0.652027 | ||||||||
\(137\) | 11.2702 | − | 5.42746i | 0.962882 | − | 0.463699i | 0.114697 | − | 0.993400i | \(-0.463410\pi\) |
0.848184 | + | 0.529701i | \(0.177696\pi\) | |||||||
\(138\) | 0.629531 | + | 2.75815i | 0.0535892 | + | 0.234790i | ||||
\(139\) | 5.46950 | + | 2.63397i | 0.463917 | + | 0.223411i | 0.651216 | − | 0.758892i | \(-0.274259\pi\) |
−0.187299 | + | 0.982303i | \(0.559973\pi\) | |||||||
\(140\) | 0.0745725 | + | 0.326723i | 0.00630252 | + | 0.0276132i | ||||
\(141\) | −3.03534 | − | 3.80620i | −0.255622 | − | 0.320540i | ||||
\(142\) | −1.89008 | + | 0.910216i | −0.158612 | + | 0.0763837i | ||||
\(143\) | −2.12953 | − | 2.67035i | −0.178080 | − | 0.223306i | ||||
\(144\) | −1.81551 | + | 7.95427i | −0.151293 | + | 0.662856i | ||||
\(145\) | 3.00000 | + | 1.44472i | 0.249136 | + | 0.119978i | ||||
\(146\) | −4.46950 | − | 2.15240i | −0.369898 | − | 0.178134i | ||||
\(147\) | −1.43147 | + | 1.79500i | −0.118066 | + | 0.148049i | ||||
\(148\) | −0.711636 | + | 3.11788i | −0.0584961 | + | 0.256288i | ||||
\(149\) | 0.612605 | + | 2.68400i | 0.0501865 | + | 0.219882i | 0.993802 | − | 0.111161i | \(-0.0354569\pi\) |
−0.943616 | + | 0.331042i | \(0.892600\pi\) | |||||||
\(150\) | 1.62349 | − | 2.03579i | 0.132557 | − | 0.166222i | ||||
\(151\) | −11.6283 | + | 14.5815i | −0.946300 | + | 1.18662i | 0.0360077 | + | 0.999352i | \(0.488536\pi\) |
−0.982308 | + | 0.187272i | \(0.940036\pi\) | |||||||
\(152\) | 3.93631 | + | 17.2461i | 0.319277 | + | 1.39884i | ||||
\(153\) | 1.55496 | − | 6.81272i | 0.125711 | − | 0.550776i | ||||
\(154\) | 2.27748 | − | 2.85587i | 0.183524 | − | 0.230132i | ||||
\(155\) | −3.81282 | − | 1.83616i | −0.306253 | − | 0.147484i | ||||
\(156\) | 0.282323 | + | 0.135960i | 0.0226040 | + | 0.0108855i | ||||
\(157\) | −2.94385 | + | 12.8978i | −0.234944 | + | 1.02936i | 0.710531 | + | 0.703666i | \(0.248455\pi\) |
−0.945476 | + | 0.325693i | \(0.894402\pi\) | |||||||
\(158\) | 1.62349 | + | 2.03579i | 0.129158 | + | 0.161959i | ||||
\(159\) | 1.23341 | − | 0.593977i | 0.0978155 | − | 0.0471054i | ||||
\(160\) | −0.853543 | − | 1.07031i | −0.0674785 | − | 0.0846154i | ||||
\(161\) | −1.53923 | − | 6.74380i | −0.121308 | − | 0.531486i | ||||
\(162\) | 8.15279 | + | 3.92618i | 0.640544 | + | 0.308470i | ||||
\(163\) | 2.32908 | + | 10.2044i | 0.182428 | + | 0.799269i | 0.980470 | + | 0.196668i | \(0.0630120\pi\) |
−0.798042 | + | 0.602602i | \(0.794131\pi\) | |||||||
\(164\) | 4.20775 | − | 2.02635i | 0.328570 | − | 0.158231i | ||||
\(165\) | −0.533188 | −0.0415086 | ||||||||
\(166\) | −1.14377 | −0.0887736 | ||||||||
\(167\) | −13.1223 | + | 6.31936i | −1.01543 | + | 0.489007i | −0.866148 | − | 0.499787i | \(-0.833412\pi\) |
−0.149285 | + | 0.988794i | \(0.547697\pi\) | |||||||
\(168\) | −0.409698 | + | 1.79500i | −0.0316089 | + | 0.138488i | ||||
\(169\) | −6.54474 | + | 8.20684i | −0.503441 | + | 0.631295i | ||||
\(170\) | −1.07606 | − | 1.34934i | −0.0825304 | − | 0.103490i | ||||
\(171\) | 16.2567 | 1.24318 | ||||||||
\(172\) | −2.67025 | + | 1.17747i | −0.203605 | + | 0.0897813i | ||||
\(173\) | −8.78986 | −0.668280 | −0.334140 | − | 0.942523i | \(-0.608446\pi\) | ||||
−0.334140 | + | 0.942523i | \(0.608446\pi\) | |||||||
\(174\) | 2.07606 | + | 2.60330i | 0.157386 | + | 0.197356i | ||||
\(175\) | −3.96950 | + | 4.97760i | −0.300066 | + | 0.376271i | ||||
\(176\) | −1.39881 | + | 6.12860i | −0.105439 | + | 0.461961i | ||||
\(177\) | 2.92543 | − | 1.40881i | 0.219889 | − | 0.105893i | ||||
\(178\) | 1.85623 | 0.139130 | ||||||||
\(179\) | −21.4034 | −1.59977 | −0.799883 | − | 0.600155i | \(-0.795105\pi\) | ||||
−0.799883 | + | 0.600155i | \(0.795105\pi\) | |||||||
\(180\) | −0.623490 | + | 0.300257i | −0.0464722 | + | 0.0223798i | ||||
\(181\) | −5.85958 | − | 25.6725i | −0.435539 | − | 1.90822i | −0.418158 | − | 0.908374i | \(-0.637324\pi\) |
−0.0173811 | − | 0.999849i | \(-0.505533\pi\) | |||||||
\(182\) | 2.41185 | + | 1.16149i | 0.178779 | + | 0.0860952i | ||||
\(183\) | −0.801938 | − | 3.51352i | −0.0592809 | − | 0.259727i | ||||
\(184\) | 9.69083 | + | 12.1519i | 0.714417 | + | 0.895851i | ||||
\(185\) | 3.59299 | − | 1.73029i | 0.264162 | − | 0.127214i | ||||
\(186\) | −2.63856 | − | 3.30864i | −0.193468 | − | 0.242602i | ||||
\(187\) | 1.19806 | − | 5.24905i | 0.0876110 | − | 0.383849i | ||||
\(188\) | −4.38620 | − | 2.11228i | −0.319896 | − | 0.154054i | ||||
\(189\) | 3.15668 | + | 1.52018i | 0.229615 | + | 0.110577i | ||||
\(190\) | 2.50335 | − | 3.13910i | 0.181612 | − | 0.227735i | ||||
\(191\) | −1.93362 | + | 8.47176i | −0.139912 | + | 0.612995i | 0.855540 | + | 0.517736i | \(0.173225\pi\) |
−0.995453 | + | 0.0952590i | \(0.969632\pi\) | |||||||
\(192\) | −0.881355 | − | 3.86147i | −0.0636063 | − | 0.278677i | ||||
\(193\) | 1.28501 | − | 1.61135i | 0.0924972 | − | 0.115988i | −0.733429 | − | 0.679766i | \(-0.762081\pi\) |
0.825926 | + | 0.563778i | \(0.190653\pi\) | |||||||
\(194\) | 11.7594 | − | 14.7458i | 0.844273 | − | 1.05868i | ||||
\(195\) | −0.0869495 | − | 0.380951i | −0.00622659 | − | 0.0272805i | ||||
\(196\) | −0.510885 | + | 2.23833i | −0.0364918 | + | 0.159881i | ||||
\(197\) | 0.285012 | − | 0.357394i | 0.0203063 | − | 0.0254632i | −0.771575 | − | 0.636139i | \(-0.780531\pi\) |
0.791881 | + | 0.610676i | \(0.209102\pi\) | |||||||
\(198\) | 6.79590 | + | 3.27273i | 0.482963 | + | 0.232583i | ||||
\(199\) | −1.85958 | − | 0.895529i | −0.131822 | − | 0.0634823i | 0.366810 | − | 0.930296i | \(-0.380450\pi\) |
−0.498632 | + | 0.866814i | \(0.666164\pi\) | |||||||
\(200\) | 3.18329 | − | 13.9469i | 0.225093 | − | 0.986196i | ||||
\(201\) | 2.04892 | + | 2.56926i | 0.144519 | + | 0.181222i | ||||
\(202\) | −3.81282 | + | 1.83616i | −0.268269 | + | 0.129192i | ||||
\(203\) | −5.07606 | − | 6.36518i | −0.356270 | − | 0.446748i | ||||
\(204\) | 0.109916 | + | 0.481575i | 0.00769568 | + | 0.0337170i | ||||
\(205\) | −5.24698 | − | 2.52681i | −0.366465 | − | 0.176480i | ||||
\(206\) | −1.41454 | − | 6.19752i | −0.0985558 | − | 0.431801i | ||||
\(207\) | 12.8693 | − | 6.19752i | 0.894476 | − | 0.430757i | ||||
\(208\) | −4.60686 | −0.319428 | ||||||||
\(209\) | 12.5254 | 0.866401 | ||||||||
\(210\) | 0.376510 | − | 0.181318i | 0.0259817 | − | 0.0125121i | ||||
\(211\) | −0.188137 | + | 0.824280i | −0.0129519 | + | 0.0567458i | −0.980991 | − | 0.194054i | \(-0.937836\pi\) |
0.968039 | + | 0.250800i | \(0.0806935\pi\) | |||||||
\(212\) | 0.853543 | − | 1.07031i | 0.0586216 | − | 0.0735092i | ||||
\(213\) | −0.466812 | − | 0.585364i | −0.0319854 | − | 0.0401085i | ||||
\(214\) | −0.384043 | −0.0262526 | ||||||||
\(215\) | 3.22401 | + | 1.68784i | 0.219876 | + | 0.115110i | ||||
\(216\) | −7.87263 | −0.535664 | ||||||||
\(217\) | 6.45138 | + | 8.08977i | 0.437948 | + | 0.549170i | ||||
\(218\) | −10.6528 | + | 13.3582i | −0.721498 | + | 0.904730i | ||||
\(219\) | 0.393969 | − | 1.72609i | 0.0266219 | − | 0.116638i | ||||
\(220\) | −0.480386 | + | 0.231342i | −0.0323876 | + | 0.0155970i | ||||
\(221\) | 3.94571 | 0.265417 | ||||||||
\(222\) | 3.98792 | 0.267652 | ||||||||
\(223\) | 21.5661 | − | 10.3857i | 1.44418 | − | 0.695478i | 0.462602 | − | 0.886566i | \(-0.346916\pi\) |
0.981573 | + | 0.191088i | \(0.0612014\pi\) | |||||||
\(224\) | 0.744824 | + | 3.26329i | 0.0497656 | + | 0.218037i | ||||
\(225\) | −11.8448 | − | 5.70416i | −0.789654 | − | 0.380277i | ||||
\(226\) | −5.23945 | − | 22.9555i | −0.348523 | − | 1.52698i | ||||
\(227\) | −3.29859 | − | 4.13630i | −0.218935 | − | 0.274536i | 0.660220 | − | 0.751073i | \(-0.270463\pi\) |
−0.879154 | + | 0.476537i | \(0.841892\pi\) | |||||||
\(228\) | −1.03534 | + | 0.498595i | −0.0685673 | + | 0.0330203i | ||||
\(229\) | 9.54138 | + | 11.9645i | 0.630512 | + | 0.790638i | 0.989781 | − | 0.142597i | \(-0.0455452\pi\) |
−0.359268 | + | 0.933234i | \(0.616974\pi\) | |||||||
\(230\) | 0.785012 | − | 3.43936i | 0.0517621 | − | 0.226785i | ||||
\(231\) | 1.17456 | + | 0.565640i | 0.0772806 | + | 0.0372164i | ||||
\(232\) | 16.4819 | + | 7.93725i | 1.08209 | + | 0.521106i | ||||
\(233\) | −15.9758 | + | 20.0331i | −1.04661 | + | 1.31241i | −0.0982699 | + | 0.995160i | \(0.531331\pi\) |
−0.948342 | + | 0.317250i | \(0.897241\pi\) | |||||||
\(234\) | −1.23005 | + | 5.38922i | −0.0804111 | + | 0.352304i | ||||
\(235\) | 1.35086 | + | 5.91848i | 0.0881201 | + | 0.386079i | ||||
\(236\) | 2.02446 | − | 2.53859i | 0.131781 | − | 0.165248i | ||||
\(237\) | −0.579417 | + | 0.726566i | −0.0376372 | + | 0.0471955i | ||||
\(238\) | 0.939001 | + | 4.11403i | 0.0608664 | + | 0.266673i | ||||
\(239\) | 1.48254 | − | 6.49544i | 0.0958976 | − | 0.420155i | −0.904076 | − | 0.427371i | \(-0.859440\pi\) |
0.999974 | + | 0.00721601i | \(0.00229695\pi\) | |||||||
\(240\) | −0.448394 | + | 0.562269i | −0.0289437 | + | 0.0362943i | ||||
\(241\) | −2.34601 | − | 1.12978i | −0.151120 | − | 0.0727755i | 0.356795 | − | 0.934183i | \(-0.383869\pi\) |
−0.507915 | + | 0.861407i | \(0.669584\pi\) | |||||||
\(242\) | −7.12229 | − | 3.42992i | −0.457838 | − | 0.220483i | ||||
\(243\) | −2.44235 | + | 10.7006i | −0.156677 | + | 0.686447i | ||||
\(244\) | −2.24698 | − | 2.81762i | −0.143848 | − | 0.180380i | ||||
\(245\) | 2.57942 | − | 1.24218i | 0.164793 | − | 0.0793601i | ||||
\(246\) | −3.63102 | − | 4.55316i | −0.231506 | − | 0.290299i | ||||
\(247\) | 2.04258 | + | 8.94913i | 0.129966 | + | 0.569420i | ||||
\(248\) | −20.9475 | − | 10.0878i | −1.33017 | − | 0.640575i | ||||
\(249\) | −0.0908344 | − | 0.397972i | −0.00575640 | − | 0.0252204i | ||||
\(250\) | −6.04288 | + | 2.91010i | −0.382185 | + | 0.184051i | ||||
\(251\) | 6.64609 | 0.419497 | 0.209749 | − | 0.977755i | \(-0.432735\pi\) | ||||
0.209749 | + | 0.977755i | \(0.432735\pi\) | |||||||
\(252\) | 1.69202 | 0.106587 | ||||||||
\(253\) | 9.91550 | − | 4.77505i | 0.623382 | − | 0.300205i | ||||
\(254\) | −1.38590 | + | 6.07204i | −0.0869593 | + | 0.380994i | ||||
\(255\) | 0.384043 | − | 0.481575i | 0.0240497 | − | 0.0301574i | ||||
\(256\) | −6.30529 | − | 7.90658i | −0.394081 | − | 0.494161i | ||||
\(257\) | 1.40581 | 0.0876922 | 0.0438461 | − | 0.999038i | \(-0.486039\pi\) | ||||
0.0438461 | + | 0.999038i | \(0.486039\pi\) | |||||||
\(258\) | 2.17241 | + | 2.91954i | 0.135248 | + | 0.181763i | ||||
\(259\) | −9.75063 | −0.605875 | ||||||||
\(260\) | −0.243627 | − | 0.305499i | −0.0151091 | − | 0.0189462i | ||||
\(261\) | 10.4819 | − | 13.1439i | 0.648812 | − | 0.813584i | ||||
\(262\) | −4.97434 | + | 21.7940i | −0.307316 | + | 1.34644i | ||||
\(263\) | 2.83244 | − | 1.36403i | 0.174656 | − | 0.0841097i | −0.344513 | − | 0.938782i | \(-0.611956\pi\) |
0.519169 | + | 0.854672i | \(0.326242\pi\) | |||||||
\(264\) | −2.92931 | −0.180287 | ||||||||
\(265\) | −1.70709 | −0.104866 | ||||||||
\(266\) | −8.84481 | + | 4.25944i | −0.542310 | + | 0.261163i | ||||
\(267\) | 0.147416 | + | 0.645872i | 0.00902171 | + | 0.0395267i | ||||
\(268\) | 2.96077 | + | 1.42583i | 0.180858 | + | 0.0870966i | ||||
\(269\) | 2.56531 | + | 11.2394i | 0.156410 | + | 0.685276i | 0.990939 | + | 0.134312i | \(0.0428825\pi\) |
−0.834529 | + | 0.550964i | \(0.814260\pi\) | |||||||
\(270\) | 1.11410 | + | 1.39703i | 0.0678018 | + | 0.0850207i | ||||
\(271\) | 12.0341 | − | 5.79534i | 0.731022 | − | 0.352042i | −0.0310638 | − | 0.999517i | \(-0.509890\pi\) |
0.762086 | + | 0.647476i | \(0.224175\pi\) | |||||||
\(272\) | −4.52781 | − | 5.67770i | −0.274539 | − | 0.344261i | ||||
\(273\) | −0.212595 | + | 0.931441i | −0.0128669 | + | 0.0563734i | ||||
\(274\) | −14.0538 | − | 6.76793i | −0.849019 | − | 0.408866i | ||||
\(275\) | −9.12618 | − | 4.39494i | −0.550329 | − | 0.265025i | ||||
\(276\) | −0.629531 | + | 0.789406i | −0.0378933 | + | 0.0475167i | ||||
\(277\) | −2.95324 | + | 12.9390i | −0.177443 | + | 0.777428i | 0.805362 | + | 0.592783i | \(0.201971\pi\) |
−0.982805 | + | 0.184645i | \(0.940886\pi\) | |||||||
\(278\) | −1.68449 | − | 7.38023i | −0.101029 | − | 0.442637i | ||||
\(279\) | −13.3218 | + | 16.7051i | −0.797558 | + | 1.00011i | ||||
\(280\) | 1.43147 | − | 1.79500i | 0.0855466 | − | 0.107272i | ||||
\(281\) | 3.54192 | + | 15.5182i | 0.211293 | + | 0.925735i | 0.963690 | + | 0.267025i | \(0.0860406\pi\) |
−0.752397 | + | 0.658710i | \(0.771102\pi\) | |||||||
\(282\) | −1.35086 | + | 5.91848i | −0.0804422 | + | 0.352441i | ||||
\(283\) | 14.8267 | − | 18.5921i | 0.881355 | − | 1.10518i | −0.112407 | − | 0.993662i | \(-0.535856\pi\) |
0.993762 | − | 0.111522i | \(-0.0355727\pi\) | |||||||
\(284\) | −0.674563 | − | 0.324852i | −0.0400280 | − | 0.0192764i | ||||
\(285\) | 1.29105 | + | 0.621738i | 0.0764754 | + | 0.0368286i | ||||
\(286\) | −0.947730 | + | 4.15228i | −0.0560405 | + | 0.245529i | ||||
\(287\) | 8.87800 | + | 11.1327i | 0.524052 | + | 0.657140i | ||||
\(288\) | −6.22737 | + | 2.99894i | −0.366951 | + | 0.176714i | ||||
\(289\) | −6.72132 | − | 8.42827i | −0.395372 | − | 0.495781i | ||||
\(290\) | −0.923936 | − | 4.04803i | −0.0542554 | − | 0.237708i | ||||
\(291\) | 6.06465 | + | 2.92058i | 0.355516 | + | 0.171207i | ||||
\(292\) | −0.393969 | − | 1.72609i | −0.0230553 | − | 0.101012i | ||||
\(293\) | −11.4330 | + | 5.50582i | −0.667921 | + | 0.321654i | −0.736937 | − | 0.675962i | \(-0.763728\pi\) |
0.0690159 | + | 0.997616i | \(0.478014\pi\) | |||||||
\(294\) | 2.86294 | 0.166970 | ||||||||
\(295\) | −4.04892 | −0.235737 | ||||||||
\(296\) | 19.7397 | − | 9.50616i | 1.14735 | − | 0.552534i | ||||
\(297\) | −1.24041 | + | 5.43458i | −0.0719757 | + | 0.315346i | ||||
\(298\) | 2.14042 | − | 2.68400i | 0.123991 | − | 0.155480i | ||||
\(299\) | 5.02864 | + | 6.30571i | 0.290814 | + | 0.364669i | ||||
\(300\) | 0.929312 | 0.0536539 | ||||||||
\(301\) | −5.31163 | − | 7.13840i | −0.306157 | − | 0.411451i | ||||
\(302\) | 23.2567 | 1.33827 | ||||||||
\(303\) | −0.941689 | − | 1.18084i | −0.0540986 | − | 0.0678376i | ||||
\(304\) | 10.5335 | − | 13.2086i | 0.604137 | − | 0.757563i | ||||
\(305\) | −1.00000 | + | 4.38129i | −0.0572598 | + | 0.250872i | ||||
\(306\) | −7.85086 | + | 3.78077i | −0.448804 | + | 0.216132i | ||||
\(307\) | 18.1903 | 1.03817 | 0.519087 | − | 0.854721i | \(-0.326272\pi\) | ||||
0.519087 | + | 0.854721i | \(0.326272\pi\) | |||||||
\(308\) | 1.30367 | 0.0742833 | ||||||||
\(309\) | 2.04407 | − | 0.984374i | 0.116283 | − | 0.0559991i | ||||
\(310\) | 1.17427 | + | 5.14480i | 0.0666939 | + | 0.292205i | ||||
\(311\) | −6.56249 | − | 3.16033i | −0.372125 | − | 0.179206i | 0.238468 | − | 0.971150i | \(-0.423355\pi\) |
−0.610593 | + | 0.791944i | \(0.709069\pi\) | |||||||
\(312\) | −0.477697 | − | 2.09293i | −0.0270443 | − | 0.118489i | ||||
\(313\) | −11.6799 | − | 14.6462i | −0.660189 | − | 0.827851i | 0.333175 | − | 0.942865i | \(-0.391880\pi\) |
−0.993364 | + | 0.115014i | \(0.963309\pi\) | |||||||
\(314\) | 14.8632 | − | 7.15776i | 0.838781 | − | 0.403936i | ||||
\(315\) | −1.31551 | − | 1.64960i | −0.0741207 | − | 0.0929444i | ||||
\(316\) | −0.206791 | + | 0.906013i | −0.0116329 | + | 0.0509672i | ||||
\(317\) | −3.12565 | − | 1.50523i | −0.175554 | − | 0.0845422i | 0.344043 | − | 0.938954i | \(-0.388203\pi\) |
−0.519597 | + | 0.854412i | \(0.673918\pi\) | |||||||
\(318\) | −1.53803 | − | 0.740677i | −0.0862486 | − | 0.0415351i | ||||
\(319\) | 8.07606 | − | 10.1271i | 0.452173 | − | 0.567007i | ||||
\(320\) | −1.09903 | + | 4.81517i | −0.0614377 | + | 0.269176i | ||||
\(321\) | −0.0304995 | − | 0.133627i | −0.00170231 | − | 0.00745832i | ||||
\(322\) | −5.37800 | + | 6.74380i | −0.299704 | + | 0.375817i | ||||
\(323\) | −9.02177 | + | 11.3129i | −0.501985 | + | 0.629469i | ||||
\(324\) | 0.718636 | + | 3.14855i | 0.0399242 | + | 0.174919i | ||||
\(325\) | 1.65183 | − | 7.23715i | 0.0916272 | − | 0.401445i | ||||
\(326\) | 8.13773 | − | 10.2044i | 0.450707 | − | 0.565169i | ||||
\(327\) | −5.49396 | − | 2.64575i | −0.303817 | − | 0.146310i | ||||
\(328\) | −28.8267 | − | 13.8822i | −1.59169 | − | 0.766516i | ||||
\(329\) | 3.30290 | − | 14.4709i | 0.182095 | − | 0.797809i | ||||
\(330\) | 0.414542 | + | 0.519820i | 0.0228198 | + | 0.0286151i | ||||
\(331\) | 12.5368 | − | 6.03742i | 0.689087 | − | 0.331847i | −0.0563612 | − | 0.998410i | \(-0.517950\pi\) |
0.745448 | + | 0.666564i | \(0.232236\pi\) | |||||||
\(332\) | −0.254512 | − | 0.319148i | −0.0139682 | − | 0.0175155i | ||||
\(333\) | −4.48039 | − | 19.6299i | −0.245524 | − | 1.07571i | ||||
\(334\) | 16.3632 | + | 7.88012i | 0.895356 | + | 0.431181i | ||||
\(335\) | −0.911854 | − | 3.99509i | −0.0498199 | − | 0.218275i | ||||
\(336\) | 1.58426 | − | 0.762940i | 0.0864285 | − | 0.0416218i | ||||
\(337\) | −3.05323 | −0.166320 | −0.0831600 | − | 0.996536i | \(-0.526501\pi\) | ||||
−0.0831600 | + | 0.996536i | \(0.526501\pi\) | |||||||
\(338\) | 13.0895 | 0.711974 | ||||||||
\(339\) | 7.57122 | − | 3.64611i | 0.411212 | − | 0.198029i | ||||
\(340\) | 0.137063 | − | 0.600514i | 0.00743330 | − | 0.0325674i | ||||
\(341\) | −10.2642 | + | 12.8709i | −0.555838 | + | 0.696998i | ||||
\(342\) | −12.6392 | − | 15.8491i | −0.683451 | − | 0.857020i | ||||
\(343\) | −16.4983 | −0.890823 | ||||||||
\(344\) | 17.7126 | + | 9.27295i | 0.954999 | + | 0.499964i | ||||
\(345\) | 1.25906 | 0.0677856 | ||||||||
\(346\) | 6.83393 | + | 8.56948i | 0.367394 | + | 0.460698i | ||||
\(347\) | 8.99396 | − | 11.2781i | 0.482821 | − | 0.605438i | −0.479437 | − | 0.877576i | \(-0.659159\pi\) |
0.962258 | + | 0.272138i | \(0.0877306\pi\) | |||||||
\(348\) | −0.264438 | + | 1.15858i | −0.0141754 | + | 0.0621063i | ||||
\(349\) | −25.5770 | + | 12.3172i | −1.36911 | + | 0.659327i | −0.966647 | − | 0.256111i | \(-0.917559\pi\) |
−0.402459 | + | 0.915438i | \(0.631845\pi\) | |||||||
\(350\) | 7.93900 | 0.424357 | ||||||||
\(351\) | −4.08516 | −0.218050 | ||||||||
\(352\) | −4.79805 | + | 2.31062i | −0.255737 | + | 0.123156i | ||||
\(353\) | 3.02984 | + | 13.2746i | 0.161262 | + | 0.706534i | 0.989304 | + | 0.145869i | \(0.0465976\pi\) |
−0.828042 | + | 0.560666i | \(0.810545\pi\) | |||||||
\(354\) | −3.64795 | − | 1.75676i | −0.193886 | − | 0.0933707i | ||||
\(355\) | 0.207751 | + | 0.910216i | 0.0110263 | + | 0.0483093i | ||||
\(356\) | 0.413050 | + | 0.517949i | 0.0218916 | + | 0.0274512i | ||||
\(357\) | −1.35690 | + | 0.653447i | −0.0718145 | + | 0.0345841i | ||||
\(358\) | 16.6407 | + | 20.8668i | 0.879489 | + | 1.10284i | ||||
\(359\) | 7.29590 | − | 31.9654i | 0.385063 | − | 1.68707i | −0.296277 | − | 0.955102i | \(-0.595745\pi\) |
0.681339 | − | 0.731968i | \(-0.261398\pi\) | |||||||
\(360\) | 4.27144 | + | 2.05702i | 0.225125 | + | 0.108414i | ||||
\(361\) | −13.2104 | − | 6.36181i | −0.695286 | − | 0.334832i | ||||
\(362\) | −20.4731 | + | 25.6725i | −1.07604 | + | 1.34932i | ||||
\(363\) | 0.627802 | − | 2.75058i | 0.0329510 | − | 0.144368i | ||||
\(364\) | 0.212595 | + | 0.931441i | 0.0111430 | + | 0.0488208i | ||||
\(365\) | −1.37651 | + | 1.72609i | −0.0720498 | + | 0.0903476i | ||||
\(366\) | −2.80194 | + | 3.51352i | −0.146460 | + | 0.183655i | ||||
\(367\) | −5.67360 | − | 24.8577i | −0.296160 | − | 1.29756i | −0.875795 | − | 0.482684i | \(-0.839662\pi\) |
0.579635 | − | 0.814876i | \(-0.303195\pi\) | |||||||
\(368\) | 3.30313 | − | 14.4720i | 0.172188 | − | 0.754404i | ||||
\(369\) | −18.3327 | + | 22.9885i | −0.954364 | + | 1.19673i | ||||
\(370\) | −4.48039 | − | 2.15764i | −0.232924 | − | 0.112170i | ||||
\(371\) | 3.76055 | + | 1.81099i | 0.195238 | + | 0.0940218i | ||||
\(372\) | 0.336085 | − | 1.47248i | 0.0174252 | − | 0.0763448i | ||||
\(373\) | 17.1863 | + | 21.5509i | 0.889872 | + | 1.11586i | 0.992633 | + | 0.121158i | \(0.0386607\pi\) |
−0.102762 | + | 0.994706i | \(0.532768\pi\) | |||||||
\(374\) | −6.04892 | + | 2.91301i | −0.312782 | + | 0.150628i | ||||
\(375\) | −1.49247 | − | 1.87149i | −0.0770707 | − | 0.0966436i | ||||
\(376\) | 7.42154 | + | 32.5159i | 0.382737 | + | 1.67688i | ||||
\(377\) | 8.55257 | + | 4.11870i | 0.440480 | + | 0.212124i | ||||
\(378\) | −0.972189 | − | 4.25944i | −0.0500040 | − | 0.219082i | ||||
\(379\) | −25.3708 | + | 12.2179i | −1.30321 | + | 0.627592i | −0.951249 | − | 0.308423i | \(-0.900199\pi\) |
−0.351959 | + | 0.936015i | \(0.614484\pi\) | |||||||
\(380\) | 1.43296 | 0.0735093 | ||||||||
\(381\) | −2.22282 | −0.113878 | ||||||||
\(382\) | 9.76271 | − | 4.70147i | 0.499504 | − | 0.240548i | ||||
\(383\) | −6.36927 | + | 27.9056i | −0.325455 | + | 1.42591i | 0.502239 | + | 0.864729i | \(0.332510\pi\) |
−0.827693 | + | 0.561181i | \(0.810347\pi\) | |||||||
\(384\) | −1.71044 | + | 2.14482i | −0.0872855 | + | 0.109453i | ||||
\(385\) | −1.01357 | − | 1.27098i | −0.0516565 | − | 0.0647752i | ||||
\(386\) | −2.57002 | −0.130811 | ||||||||
\(387\) | 11.9303 | − | 13.9734i | 0.606450 | − | 0.710307i | ||||
\(388\) | 6.73125 | 0.341727 | ||||||||
\(389\) | 22.0206 | + | 27.6129i | 1.11649 | + | 1.40003i | 0.906437 | + | 0.422340i | \(0.138791\pi\) |
0.210050 | + | 0.977691i | \(0.432637\pi\) | |||||||
\(390\) | −0.303798 | + | 0.380951i | −0.0153834 | + | 0.0192902i | ||||
\(391\) | −2.82908 | + | 12.3950i | −0.143073 | + | 0.626844i | ||||
\(392\) | 14.1712 | − | 6.82450i | 0.715754 | − | 0.344689i | ||||
\(393\) | −7.97823 | −0.402448 | ||||||||
\(394\) | −0.570024 | −0.0287174 | ||||||||
\(395\) | 1.04407 | − | 0.502799i | 0.0525330 | − | 0.0252986i | ||||
\(396\) | 0.599031 | + | 2.62453i | 0.0301024 | + | 0.131887i | ||||
\(397\) | −3.04407 | − | 1.46595i | −0.152778 | − | 0.0735738i | 0.355933 | − | 0.934512i | \(-0.384163\pi\) |
−0.508710 | + | 0.860938i | \(0.669878\pi\) | |||||||
\(398\) | 0.572712 | + | 2.50922i | 0.0287075 | + | 0.125776i | ||||
\(399\) | −2.18449 | − | 2.73926i | −0.109361 | − | 0.137135i | ||||
\(400\) | −12.3095 | + | 5.92793i | −0.615474 | + | 0.296396i | ||||
\(401\) | −10.5429 | − | 13.2203i | −0.526486 | − | 0.660193i | 0.445486 | − | 0.895289i | \(-0.353031\pi\) |
−0.971972 | + | 0.235096i | \(0.924459\pi\) | |||||||
\(402\) | 0.911854 | − | 3.99509i | 0.0454791 | − | 0.199257i | ||||
\(403\) | −10.8698 | − | 5.23462i | −0.541464 | − | 0.260755i | ||||
\(404\) | −1.36078 | − | 0.655317i | −0.0677014 | − | 0.0326033i | ||||
\(405\) | 2.51089 | − | 3.14855i | 0.124767 | − | 0.156453i | ||||
\(406\) | −2.25906 | + | 9.89759i | −0.112115 | + | 0.491209i | ||||
\(407\) | −3.45204 | − | 15.1244i | −0.171111 | − | 0.749688i | ||||
\(408\) | 2.10992 | − | 2.64575i | 0.104456 | − | 0.130984i | ||||
\(409\) | 1.16003 | − | 1.45463i | 0.0573598 | − | 0.0719269i | −0.752324 | − | 0.658793i | \(-0.771067\pi\) |
0.809684 | + | 0.586866i | \(0.199639\pi\) | |||||||
\(410\) | 1.61596 | + | 7.07997i | 0.0798064 | + | 0.349655i | ||||
\(411\) | 1.23878 | − | 5.42746i | 0.0611047 | − | 0.267717i | ||||
\(412\) | 1.41454 | − | 1.77378i | 0.0696895 | − | 0.0873879i | ||||
\(413\) | 8.91939 | + | 4.29535i | 0.438894 | + | 0.211360i | ||||
\(414\) | −16.0477 | − | 7.72818i | −0.788702 | − | 0.379819i | ||||
\(415\) | −0.113269 | + | 0.496262i | −0.00556014 | + | 0.0243606i | ||||
\(416\) | −2.43333 | − | 3.05130i | −0.119304 | − | 0.149602i | ||||
\(417\) | 2.43416 | − | 1.17223i | 0.119201 | − | 0.0574043i | ||||
\(418\) | −9.73825 | − | 12.2114i | −0.476313 | − | 0.597278i | ||||
\(419\) | 3.67414 | + | 16.0974i | 0.179493 | + | 0.786411i | 0.981864 | + | 0.189586i | \(0.0607145\pi\) |
−0.802371 | + | 0.596826i | \(0.796428\pi\) | |||||||
\(420\) | 0.134375 | + | 0.0647116i | 0.00655683 | + | 0.00315760i | ||||
\(421\) | −4.89277 | − | 21.4366i | −0.238459 | − | 1.04476i | −0.942397 | − | 0.334496i | \(-0.891434\pi\) |
0.703938 | − | 0.710261i | \(-0.251423\pi\) | |||||||
\(422\) | 0.949886 | − | 0.457441i | 0.0462397 | − | 0.0222679i | ||||
\(423\) | 30.6504 | 1.49027 | ||||||||
\(424\) | −9.37867 | −0.455468 | ||||||||
\(425\) | 10.5429 | − | 5.07718i | 0.511405 | − | 0.246279i | ||||
\(426\) | −0.207751 | + | 0.910216i | −0.0100656 | + | 0.0441001i | ||||
\(427\) | 6.85086 | − | 8.59070i | 0.331536 | − | 0.415733i | ||||
\(428\) | −0.0854576 | − | 0.107160i | −0.00413075 | − | 0.00517980i | ||||
\(429\) | −1.52004 | −0.0733883 | ||||||||
\(430\) | −0.861076 | − | 4.45544i | −0.0415248 | − | 0.214861i | ||||
\(431\) | 19.1884 | 0.924271 | 0.462136 | − | 0.886809i | \(-0.347083\pi\) | ||||
0.462136 | + | 0.886809i | \(0.347083\pi\) | |||||||
\(432\) | 4.68784 | + | 5.87837i | 0.225544 | + | 0.282823i | ||||
\(433\) | 8.60872 | − | 10.7950i | 0.413709 | − | 0.518774i | −0.530695 | − | 0.847563i | \(-0.678069\pi\) |
0.944404 | + | 0.328789i | \(0.106640\pi\) | |||||||
\(434\) | 2.87113 | − | 12.5793i | 0.137819 | − | 0.603824i | ||||
\(435\) | 1.33513 | − | 0.642963i | 0.0640144 | − | 0.0308277i | ||||
\(436\) | −6.09783 | −0.292033 | ||||||||
\(437\) | −29.5773 | −1.41488 | ||||||||
\(438\) | −1.98911 | + | 0.957907i | −0.0950436 | + | 0.0457706i | ||||
\(439\) | −2.66152 | − | 11.6609i | −0.127028 | − | 0.556544i | −0.997885 | − | 0.0650079i | \(-0.979293\pi\) |
0.870857 | − | 0.491536i | \(-0.163564\pi\) | |||||||
\(440\) | 3.29105 | + | 1.58489i | 0.156895 | + | 0.0755565i | ||||
\(441\) | −3.21648 | − | 14.0923i | −0.153166 | − | 0.671063i | ||||
\(442\) | −3.06770 | − | 3.84678i | −0.145916 | − | 0.182973i | ||||
\(443\) | 13.3545 | − | 6.43119i | 0.634492 | − | 0.305555i | −0.0888504 | − | 0.996045i | \(-0.528319\pi\) |
0.723342 | + | 0.690490i | \(0.242605\pi\) | |||||||
\(444\) | 0.887395 | + | 1.11276i | 0.0421139 | + | 0.0528092i | ||||
\(445\) | 0.183825 | − | 0.805389i | 0.00871413 | − | 0.0381791i | ||||
\(446\) | −26.8925 | − | 12.9508i | −1.27340 | − | 0.613236i | ||||
\(447\) | 1.10388 | + | 0.531598i | 0.0522115 | + | 0.0251437i | ||||
\(448\) | 7.52930 | − | 9.44145i | 0.355726 | − | 0.446066i | ||||
\(449\) | 4.31431 | − | 18.9022i | 0.203605 | − | 0.892052i | −0.765114 | − | 0.643894i | \(-0.777318\pi\) |
0.968720 | − | 0.248158i | \(-0.0798252\pi\) | |||||||
\(450\) | 3.64795 | + | 15.9827i | 0.171966 | + | 0.753432i | ||||
\(451\) | −14.1250 | + | 17.7122i | −0.665119 | + | 0.834033i | ||||
\(452\) | 5.23945 | − | 6.57006i | 0.246443 | − | 0.309030i | ||||
\(453\) | 1.84697 | + | 8.09211i | 0.0867782 | + | 0.380200i | ||||
\(454\) | −1.46801 | + | 6.43177i | −0.0688971 | + | 0.301858i | ||||
\(455\) | 0.742799 | − | 0.931441i | 0.0348230 | − | 0.0436666i | ||||
\(456\) | 7.09299 | + | 3.41580i | 0.332160 | + | 0.159960i | ||||
\(457\) | −19.3872 | − | 9.33636i | −0.906893 | − | 0.436737i | −0.0785194 | − | 0.996913i | \(-0.525019\pi\) |
−0.828374 | + | 0.560176i | \(0.810734\pi\) | |||||||
\(458\) | 4.24632 | − | 18.6043i | 0.198417 | − | 0.869323i | ||||
\(459\) | −4.01507 | − | 5.03473i | −0.187407 | − | 0.235001i | ||||
\(460\) | 1.13437 | − | 0.546286i | 0.0528905 | − | 0.0254707i | ||||
\(461\) | 20.7344 | + | 26.0001i | 0.965696 | + | 1.21094i | 0.977483 | + | 0.211014i | \(0.0676764\pi\) |
−0.0117875 | + | 0.999931i | \(0.503752\pi\) | |||||||
\(462\) | −0.361740 | − | 1.58489i | −0.0168297 | − | 0.0737356i | ||||
\(463\) | 15.8192 | + | 7.61811i | 0.735179 | + | 0.354043i | 0.763719 | − | 0.645549i | \(-0.223371\pi\) |
−0.0285400 | + | 0.999593i | \(0.509086\pi\) | |||||||
\(464\) | −3.88769 | − | 17.0331i | −0.180482 | − | 0.790741i | ||||
\(465\) | −1.69687 | + | 0.817168i | −0.0786903 | + | 0.0378952i | ||||
\(466\) | 31.9517 | 1.48013 | ||||||||
\(467\) | −15.8398 | −0.732980 | −0.366490 | − | 0.930422i | \(-0.619441\pi\) | ||||
−0.366490 | + | 0.930422i | \(0.619441\pi\) | |||||||
\(468\) | −1.77748 | + | 0.855989i | −0.0821640 | + | 0.0395681i | ||||
\(469\) | −2.22952 | + | 9.76817i | −0.102950 | + | 0.451052i | ||||
\(470\) | 4.71983 | − | 5.91848i | 0.217710 | − | 0.272999i | ||||
\(471\) | 3.67092 | + | 4.60318i | 0.169147 | + | 0.212103i | ||||
\(472\) | −22.2446 | −1.02389 | ||||||||
\(473\) | 9.19202 | − | 10.7662i | 0.422650 | − | 0.495030i | ||||
\(474\) | 1.15883 | 0.0532270 | ||||||||
\(475\) | 16.9731 | + | 21.2837i | 0.778781 | + | 0.976561i | ||||
\(476\) | −0.939001 | + | 1.17747i | −0.0430390 | + | 0.0539693i | ||||
\(477\) | −1.91789 | + | 8.40285i | −0.0878144 | + | 0.384740i | ||||
\(478\) | −7.48523 | + | 3.60470i | −0.342366 | + | 0.164875i | ||||
\(479\) | 28.5652 | 1.30518 | 0.652590 | − | 0.757712i | \(-0.273683\pi\) | ||||
0.652590 | + | 0.757712i | \(0.273683\pi\) | |||||||
\(480\) | −0.609252 | −0.0278084 | ||||||||
\(481\) | 10.2431 | − | 4.93281i | 0.467045 | − | 0.224917i | ||||
\(482\) | 0.722521 | + | 3.16557i | 0.0329099 | + | 0.144188i | ||||
\(483\) | −2.77359 | − | 1.33569i | −0.126203 | − | 0.0607761i | ||||
\(484\) | −0.627802 | − | 2.75058i | −0.0285364 | − | 0.125026i | ||||
\(485\) | −5.23341 | − | 6.56248i | −0.237637 | − | 0.297987i | ||||
\(486\) | 12.3312 | − | 5.93841i | 0.559356 | − | 0.269372i | ||||
\(487\) | 1.16756 | + | 1.46408i | 0.0529073 | + | 0.0663437i | 0.807581 | − | 0.589757i | \(-0.200776\pi\) |
−0.754674 | + | 0.656100i | \(0.772205\pi\) | |||||||
\(488\) | −5.49396 | + | 24.0706i | −0.248700 | + | 1.08963i | ||||
\(489\) | 4.19687 | + | 2.02110i | 0.189789 | + | 0.0913975i | ||||
\(490\) | −3.21648 | − | 1.54898i | −0.145306 | − | 0.0699756i | ||||
\(491\) | −18.2268 | + | 22.8557i | −0.822565 | + | 1.03146i | 0.176323 | + | 0.984332i | \(0.443580\pi\) |
−0.998889 | + | 0.0471321i | \(0.984992\pi\) | |||||||
\(492\) | 0.462500 | − | 2.02635i | 0.0208511 | − | 0.0913547i | ||||
\(493\) | 3.32975 | + | 14.5886i | 0.149964 | + | 0.657037i | ||||
\(494\) | 7.13669 | − | 8.94913i | 0.321095 | − | 0.402640i | ||||
\(495\) | 2.09299 | − | 2.62453i | 0.0940729 | − | 0.117964i | ||||
\(496\) | 4.94103 | + | 21.6480i | 0.221859 | + | 0.972026i | ||||
\(497\) | 0.507960 | − | 2.22552i | 0.0227851 | − | 0.0998281i | ||||
\(498\) | −0.317372 | + | 0.397972i | −0.0142218 | + | 0.0178335i | ||||
\(499\) | −22.4650 | − | 10.8186i | −1.00567 | − | 0.484305i | −0.142811 | − | 0.989750i | \(-0.545614\pi\) |
−0.862859 | + | 0.505445i | \(0.831328\pi\) | |||||||
\(500\) | −2.15668 | − | 1.03860i | −0.0964496 | − | 0.0464477i | ||||
\(501\) | −1.44235 | + | 6.31936i | −0.0644396 | + | 0.282328i | ||||
\(502\) | −5.16719 | − | 6.47946i | −0.230623 | − | 0.289192i | ||||
\(503\) | −38.0942 | + | 18.3452i | −1.69854 | + | 0.817973i | −0.704407 | + | 0.709797i | \(0.748787\pi\) |
−0.994132 | + | 0.108176i | \(0.965499\pi\) | |||||||
\(504\) | −7.22737 | − | 9.06283i | −0.321932 | − | 0.403691i | ||||
\(505\) | 0.419091 | + | 1.83616i | 0.0186493 | + | 0.0817080i | ||||
\(506\) | −12.3644 | − | 5.95439i | −0.549666 | − | 0.264705i | ||||
\(507\) | 1.03952 | + | 4.55445i | 0.0461669 | + | 0.202270i | ||||
\(508\) | −2.00269 | + | 0.964444i | −0.0888549 | + | 0.0427903i | ||||
\(509\) | −18.1153 | −0.802946 | −0.401473 | − | 0.915871i | \(-0.631502\pi\) | ||||
−0.401473 | + | 0.915871i | \(0.631502\pi\) | |||||||
\(510\) | −0.768086 | −0.0340114 | ||||||||
\(511\) | 4.86347 | − | 2.34212i | 0.215147 | − | 0.103609i | ||||
\(512\) | −5.54945 | + | 24.3137i | −0.245253 | + | 1.07453i | ||||
\(513\) | 9.34063 | − | 11.7128i | 0.412399 | − | 0.517132i | ||||
\(514\) | −1.09299 | − | 1.37057i | −0.0482097 | − | 0.0604531i | ||||
\(515\) | −2.82908 | −0.124664 | ||||||||
\(516\) | −0.331241 | + | 1.25583i | −0.0145821 | + | 0.0552849i | ||||
\(517\) | 23.6155 | 1.03861 | ||||||||
\(518\) | 7.58091 | + | 9.50616i | 0.333086 | + | 0.417677i | ||||
\(519\) | −2.43900 | + | 3.05841i | −0.107060 | + | 0.134249i | ||||
\(520\) | −0.595679 | + | 2.60984i | −0.0261222 | + | 0.114449i | ||||
\(521\) | −1.13610 | + | 0.547119i | −0.0497736 | + | 0.0239697i | −0.458605 | − | 0.888640i | \(-0.651651\pi\) |
0.408831 | + | 0.912610i | \(0.365936\pi\) | |||||||
\(522\) | −20.9638 | −0.917559 | ||||||||
\(523\) | 36.9788 | 1.61697 | 0.808485 | − | 0.588516i | \(-0.200288\pi\) | ||||
0.808485 | + | 0.588516i | \(0.200288\pi\) | |||||||
\(524\) | −7.18814 | + | 3.46162i | −0.314015 | + | 0.151222i | ||||
\(525\) | 0.630490 | + | 2.76236i | 0.0275168 | + | 0.120559i | ||||
\(526\) | −3.53199 | − | 1.70092i | −0.154002 | − | 0.0741635i | ||||
\(527\) | −4.23191 | − | 18.5412i | −0.184345 | − | 0.807669i | ||||
\(528\) | 1.74429 | + | 2.18727i | 0.0759105 | + | 0.0951888i | ||||
\(529\) | −2.69202 | + | 1.29641i | −0.117044 | + | 0.0563656i | ||||
\(530\) | 1.32722 | + | 1.66429i | 0.0576509 | + | 0.0722920i | ||||
\(531\) | −4.54892 | + | 19.9301i | −0.197406 | + | 0.864893i | ||||
\(532\) | −3.15668 | − | 1.52018i | −0.136859 | − | 0.0659080i | ||||
\(533\) | −14.9584 | − | 7.20358i | −0.647919 | − | 0.312021i | ||||
\(534\) | 0.515065 | − | 0.645872i | 0.0222891 | − | 0.0279496i | ||||
\(535\) | −0.0380322 | + | 0.166630i | −0.00164428 | + | 0.00720404i | ||||
\(536\) | −5.00969 | − | 21.9489i | −0.216386 | − | 0.948047i | ||||
\(537\) | −5.93900 | + | 7.44727i | −0.256287 | + | 0.321373i | ||||
\(538\) | 8.96309 | − | 11.2394i | 0.386426 | − | 0.484563i | ||||
\(539\) | −2.47823 | − | 10.8578i | −0.106745 | − | 0.467680i | ||||
\(540\) | −0.141908 | + | 0.621738i | −0.00610673 | + | 0.0267554i | ||||
\(541\) | −0.305290 | + | 0.382822i | −0.0131254 | + | 0.0164588i | −0.788351 | − | 0.615226i | \(-0.789065\pi\) |
0.775225 | + | 0.631685i | \(0.217636\pi\) | |||||||
\(542\) | −15.0063 | − | 7.22667i | −0.644577 | − | 0.310412i | ||||
\(543\) | −10.5586 | − | 5.08476i | −0.453113 | − | 0.218208i | ||||
\(544\) | 1.36898 | − | 5.99788i | 0.0586944 | − | 0.257157i | ||||
\(545\) | 4.74094 | + | 5.94495i | 0.203080 | + | 0.254654i | ||||
\(546\) | 1.07338 | − | 0.516911i | 0.0459363 | − | 0.0221217i | ||||
\(547\) | −7.53617 | − | 9.45006i | −0.322223 | − | 0.404055i | 0.594167 | − | 0.804342i | \(-0.297482\pi\) |
−0.916390 | + | 0.400287i | \(0.868911\pi\) | |||||||
\(548\) | −1.23878 | − | 5.42746i | −0.0529182 | − | 0.231850i | ||||
\(549\) | 20.4426 | + | 9.84466i | 0.872471 | + | 0.420160i | ||||
\(550\) | 2.81067 | + | 12.3143i | 0.119847 | + | 0.525085i | ||||
\(551\) | −31.3642 | + | 15.1042i | −1.33616 | + | 0.643460i | ||||
\(552\) | 6.91723 | 0.294417 | ||||||||
\(553\) | −2.83340 | −0.120488 | ||||||||
\(554\) | 14.9107 | − | 7.18059i | 0.633493 | − | 0.305074i | ||||
\(555\) | 0.394928 | − | 1.73029i | 0.0167638 | − | 0.0734468i | ||||
\(556\) | 1.68449 | − | 2.11228i | 0.0714382 | − | 0.0895807i | ||||
\(557\) | 25.8369 | + | 32.3985i | 1.09475 | + | 1.37277i | 0.921723 | + | 0.387849i | \(0.126782\pi\) |
0.173022 | + | 0.984918i | \(0.444647\pi\) | |||||||
\(558\) | 26.6437 | 1.12792 | ||||||||
\(559\) | 9.19119 | + | 4.81180i | 0.388746 | + | 0.203517i | ||||
\(560\) | −2.19269 | −0.0926579 | ||||||||
\(561\) | −1.49396 | − | 1.87337i | −0.0630750 | − | 0.0790936i | ||||
\(562\) | 12.3753 | − | 15.5182i | 0.522021 | − | 0.654594i | ||||
\(563\) | 3.61745 | − | 15.8491i | 0.152457 | − | 0.667959i | −0.839709 | − | 0.543036i | \(-0.817275\pi\) |
0.992166 | − | 0.124923i | \(-0.0398683\pi\) | |||||||
\(564\) | −1.95204 | + | 0.940054i | −0.0821958 | + | 0.0395834i | ||||
\(565\) | −10.4789 | −0.440850 | ||||||||
\(566\) | −29.6534 | −1.24642 | ||||||||
\(567\) | −8.87143 | + | 4.27225i | −0.372565 | + | 0.179418i | ||||
\(568\) | 1.14138 | + | 5.00069i | 0.0478910 | + | 0.209824i | ||||
\(569\) | −28.5248 | − | 13.7368i | −1.19582 | − | 0.575877i | −0.273338 | − | 0.961918i | \(-0.588128\pi\) |
−0.922481 | + | 0.386041i | \(0.873842\pi\) | |||||||
\(570\) | −0.397616 | − | 1.74207i | −0.0166543 | − | 0.0729674i | ||||
\(571\) | 9.91252 | + | 12.4299i | 0.414826 | + | 0.520175i | 0.944715 | − | 0.327891i | \(-0.106338\pi\) |
−0.529889 | + | 0.848067i | \(0.677767\pi\) | |||||||
\(572\) | −1.36951 | + | 0.659521i | −0.0572621 | + | 0.0275760i | ||||
\(573\) | 2.41119 | + | 3.02354i | 0.100729 | + | 0.126310i | ||||
\(574\) | 3.95108 | − | 17.3108i | 0.164915 | − | 0.722540i | ||||
\(575\) | 21.5504 | + | 10.3781i | 0.898714 | + | 0.432798i | ||||
\(576\) | 22.4671 | + | 10.8196i | 0.936129 | + | 0.450816i | ||||
\(577\) | 9.87598 | − | 12.3841i | 0.411142 | − | 0.515556i | −0.532542 | − | 0.846404i | \(-0.678763\pi\) |
0.943684 | + | 0.330847i | \(0.107335\pi\) | |||||||
\(578\) | −2.99127 | + | 13.1056i | −0.124420 | + | 0.545122i | ||||
\(579\) | −0.204103 | − | 0.894234i | −0.00848223 | − | 0.0371631i | ||||
\(580\) | 0.923936 | − | 1.15858i | 0.0383643 | − | 0.0481074i | ||||
\(581\) | 0.775987 | − | 0.973057i | 0.0321934 | − | 0.0403692i | ||||
\(582\) | −1.86778 | − | 8.18328i | −0.0774220 | − | 0.339208i | ||||
\(583\) | −1.47770 | + | 6.47421i | −0.0612000 | + | 0.268135i | ||||
\(584\) | −7.56249 | + | 9.48306i | −0.312938 | + | 0.392412i | ||||
\(585\) | 2.21648 | + | 1.06740i | 0.0916402 | + | 0.0441316i | ||||
\(586\) | 14.2567 | + | 6.86565i | 0.588938 | + | 0.283617i | ||||
\(587\) | 6.72252 | − | 29.4533i | 0.277468 | − | 1.21567i | −0.623514 | − | 0.781812i | \(-0.714296\pi\) |
0.900982 | − | 0.433855i | \(-0.142847\pi\) | |||||||
\(588\) | 0.637063 | + | 0.798852i | 0.0262720 | + | 0.0329441i | ||||
\(589\) | 39.8620 | − | 19.1965i | 1.64249 | − | 0.790980i | ||||
\(590\) | 3.14795 | + | 3.94740i | 0.129599 | + | 0.162512i | ||||
\(591\) | −0.0452695 | − | 0.198338i | −0.00186214 | − | 0.00815855i | ||||
\(592\) | −18.8523 | − | 9.07881i | −0.774827 | − | 0.373137i | ||||
\(593\) | −6.13049 | − | 26.8594i | −0.251749 | − | 1.10298i | −0.929828 | − | 0.367995i | \(-0.880044\pi\) |
0.678079 | − | 0.734989i | \(-0.262813\pi\) | |||||||
\(594\) | 6.26271 | − | 3.01596i | 0.256962 | − | 0.123746i | ||||
\(595\) | 1.87800 | 0.0769906 | ||||||||
\(596\) | 1.22521 | 0.0501865 | ||||||||
\(597\) | −0.827593 | + | 0.398548i | −0.0338711 | + | 0.0163115i | ||||
\(598\) | 2.23795 | − | 9.80512i | 0.0915168 | − | 0.400961i | ||||
\(599\) | −9.64042 | + | 12.0887i | −0.393897 | + | 0.493931i | −0.938749 | − | 0.344601i | \(-0.888014\pi\) |
0.544853 | + | 0.838532i | \(0.316586\pi\) | |||||||
\(600\) | −3.96950 | − | 4.97760i | −0.162054 | − | 0.203210i | ||||
\(601\) | 3.03684 | 0.123875 | 0.0619376 | − | 0.998080i | \(-0.480272\pi\) | ||||
0.0619376 | + | 0.998080i | \(0.480272\pi\) | |||||||
\(602\) | −2.82975 | + | 10.7284i | −0.115332 | + | 0.437257i | ||||
\(603\) | −20.6896 | −0.842547 | ||||||||
\(604\) | 5.17510 | + | 6.48936i | 0.210572 | + | 0.264048i | ||||
\(605\) | −2.19351 | + | 2.75058i | −0.0891790 | + | 0.111827i | ||||
\(606\) | −0.419091 | + | 1.83616i | −0.0170244 | + | 0.0745888i | ||||
\(607\) | −4.81647 | + | 2.31949i | −0.195495 | + | 0.0941452i | −0.529070 | − | 0.848578i | \(-0.677459\pi\) |
0.333575 | + | 0.942723i | \(0.391745\pi\) | |||||||
\(608\) | 14.3123 | 0.580440 | ||||||||
\(609\) | −3.62325 | −0.146822 | ||||||||
\(610\) | 5.04892 | − | 2.43143i | 0.204425 | − | 0.0984457i | ||||
\(611\) | 3.85109 | + | 16.8727i | 0.155799 | + | 0.682598i | ||||
\(612\) | −2.80194 | − | 1.34934i | −0.113262 | − | 0.0545439i | ||||
\(613\) | 1.93320 | + | 8.46989i | 0.0780811 | + | 0.342096i | 0.998846 | − | 0.0480216i | \(-0.0152916\pi\) |
−0.920765 | + | 0.390117i | \(0.872434\pi\) | |||||||
\(614\) | −14.1426 | − | 17.7342i | −0.570748 | − | 0.715695i | ||||
\(615\) | −2.33513 | + | 1.12454i | −0.0941614 | + | 0.0453457i | ||||
\(616\) | −5.56853 | − | 6.98272i | −0.224363 | − | 0.281342i | ||||
\(617\) | 3.87196 | − | 16.9642i | 0.155879 | − | 0.682952i | −0.835230 | − | 0.549901i | \(-0.814665\pi\) |
0.991109 | − | 0.133051i | \(-0.0424774\pi\) | |||||||
\(618\) | −2.54892 | − | 1.22749i | −0.102532 | − | 0.0493770i | ||||
\(619\) | 2.33028 | + | 1.12220i | 0.0936619 | + | 0.0451052i | 0.480128 | − | 0.877198i | \(-0.340590\pi\) |
−0.386466 | + | 0.922304i | \(0.626304\pi\) | |||||||
\(620\) | −1.17427 | + | 1.47248i | −0.0471597 | + | 0.0591364i | ||||
\(621\) | 2.92908 | − | 12.8331i | 0.117540 | − | 0.514975i | ||||
\(622\) | 2.02111 | + | 8.85505i | 0.0810390 | + | 0.355055i | ||||
\(623\) | −1.25936 | + | 1.57918i | −0.0504551 | + | 0.0632686i | ||||
\(624\) | −1.27831 | + | 1.60295i | −0.0511732 | + | 0.0641692i | ||||
\(625\) | −4.55615 | − | 19.9618i | −0.182246 | − | 0.798473i | ||||
\(626\) | −5.19806 | + | 22.7742i | −0.207756 | + | 0.910240i | ||||
\(627\) | 3.47554 | − | 4.35819i | 0.138800 | − | 0.174049i | ||||
\(628\) | 5.30463 | + | 2.55457i | 0.211678 | + | 0.101939i | ||||
\(629\) | 16.1468 | + | 7.77587i | 0.643813 | + | 0.310044i | ||||
\(630\) | −0.585458 | + | 2.56506i | −0.0233252 | + | 0.102194i | ||||
\(631\) | −1.76995 | − | 2.21944i | −0.0704605 | − | 0.0883546i | 0.745352 | − | 0.666671i | \(-0.232281\pi\) |
−0.815813 | + | 0.578316i | \(0.803710\pi\) | |||||||
\(632\) | 5.73609 | − | 2.76236i | 0.228170 | − | 0.109881i | ||||
\(633\) | 0.234603 | + | 0.294182i | 0.00932461 | + | 0.0116927i | ||||
\(634\) | 0.962632 | + | 4.21757i | 0.0382310 | + | 0.167501i | ||||
\(635\) | 2.49731 | + | 1.20264i | 0.0991028 | + | 0.0477254i | ||||
\(636\) | −0.135571 | − | 0.593977i | −0.00537576 | − | 0.0235527i | ||||
\(637\) | 7.35354 | − | 3.54128i | 0.291358 | − | 0.140311i | ||||
\(638\) | −16.1521 | −0.639469 | ||||||||
\(639\) | 4.71379 | 0.186475 | ||||||||
\(640\) | 3.08211 | − | 1.48426i | 0.121831 | − | 0.0586707i | ||||
\(641\) | 5.20602 | − | 22.8091i | 0.205626 | − | 0.900904i | −0.761813 | − | 0.647797i | \(-0.775690\pi\) |
0.967438 | − | 0.253107i | \(-0.0814525\pi\) | |||||||
\(642\) | −0.106564 | + | 0.133627i | −0.00420574 | + | 0.00527383i | ||||
\(643\) | −18.8388 | − | 23.6231i | −0.742929 | − | 0.931603i | 0.256460 | − | 0.966555i | \(-0.417444\pi\) |
−0.999389 | + | 0.0349516i | \(0.988872\pi\) | |||||||
\(644\) | −3.07846 | −0.121308 | ||||||||
\(645\) | 1.48188 | − | 0.653447i | 0.0583489 | − | 0.0257294i | ||||
\(646\) | 18.0435 | 0.709914 | ||||||||
\(647\) | −26.3342 | − | 33.0221i | −1.03531 | − | 1.29823i | −0.953438 | − | 0.301588i | \(-0.902483\pi\) |
−0.0818670 | − | 0.996643i | \(-0.526088\pi\) | |||||||
\(648\) | 13.7947 | − | 17.2980i | 0.541907 | − | 0.679530i | ||||
\(649\) | −3.50484 | + | 15.3557i | −0.137577 | + | 0.602765i | ||||
\(650\) | −8.33997 | + | 4.01632i | −0.327121 | + | 0.157533i | ||||
\(651\) | 4.60494 | 0.180482 | ||||||||
\(652\) | 4.65817 | 0.182428 | ||||||||
\(653\) | 1.32736 | − | 0.639221i | 0.0519434 | − | 0.0250146i | −0.407732 | − | 0.913102i | \(-0.633680\pi\) |
0.459675 | + | 0.888087i | \(0.347966\pi\) | |||||||
\(654\) | 1.69202 | + | 7.41323i | 0.0661633 | + | 0.289880i | ||||
\(655\) | 8.96346 | + | 4.31657i | 0.350231 | + | 0.168663i | ||||
\(656\) | 6.79954 | + | 29.7908i | 0.265478 | + | 1.16313i | ||||
\(657\) | 6.94989 | + | 8.71488i | 0.271141 | + | 0.340000i | ||||
\(658\) | −16.6761 | + | 8.03076i | −0.650100 | + | 0.313072i | ||||
\(659\) | −9.86257 | − | 12.3673i | −0.384191 | − | 0.481760i | 0.551704 | − | 0.834040i | \(-0.313978\pi\) |
−0.935895 | + | 0.352280i | \(0.885407\pi\) | |||||||
\(660\) | −0.0528022 | + | 0.231342i | −0.00205532 | + | 0.00900496i | ||||
\(661\) | −8.28328 | − | 3.98902i | −0.322182 | − | 0.155155i | 0.265801 | − | 0.964028i | \(-0.414364\pi\) |
−0.587983 | + | 0.808873i | \(0.700078\pi\) | |||||||
\(662\) | −15.6332 | − | 7.52854i | −0.607601 | − | 0.292605i | ||||
\(663\) | 1.09485 | − | 1.37290i | 0.0425205 | − | 0.0533190i | ||||
\(664\) | −0.622293 | + | 2.72645i | −0.0241497 | + | 0.105807i | ||||
\(665\) | 0.972189 | + | 4.25944i | 0.0376999 | + | 0.165174i | ||||
\(666\) | −15.6543 | + | 19.6299i | −0.606591 | + | 0.760641i | ||||
\(667\) | −19.0707 | + | 23.9139i | −0.738420 | + | 0.925949i | ||||
\(668\) | 1.44235 | + | 6.31936i | 0.0558063 | + | 0.244504i | ||||
\(669\) | 2.37047 | − | 10.3857i | 0.0916476 | − | 0.401535i | ||||
\(670\) | −3.18598 | + | 3.99509i | −0.123085 | + | 0.154344i | ||||
\(671\) | 15.7506 | + | 7.58510i | 0.608046 | + | 0.292820i | ||||
\(672\) | 1.34213 | + | 0.646334i | 0.0517736 | + | 0.0249329i | ||||
\(673\) | −8.03856 | + | 35.2193i | −0.309864 | + | 1.35760i | 0.544863 | + | 0.838525i | \(0.316582\pi\) |
−0.854727 | + | 0.519078i | \(0.826276\pi\) | |||||||
\(674\) | 2.37382 | + | 2.97668i | 0.0914362 | + | 0.114657i | ||||
\(675\) | −10.9155 | + | 5.25663i | −0.420138 | + | 0.202328i | ||||
\(676\) | 2.91268 | + | 3.65239i | 0.112026 | + | 0.140476i | ||||
\(677\) | −2.27210 | − | 9.95473i | −0.0873240 | − | 0.382591i | 0.912314 | − | 0.409491i | \(-0.134294\pi\) |
−0.999638 | + | 0.0268996i | \(0.991437\pi\) | |||||||
\(678\) | −9.44116 | − | 4.54662i | −0.362585 | − | 0.174612i | ||||
\(679\) | 4.56680 | + | 20.0085i | 0.175258 | + | 0.767855i | ||||
\(680\) | −3.80194 | + | 1.83092i | −0.145798 | + | 0.0702125i | ||||
\(681\) | −2.35450 | −0.0902247 | ||||||||
\(682\) | 20.5284 | 0.786073 | ||||||||
\(683\) | −24.7059 | + | 11.8977i | −0.945345 | + | 0.455254i | −0.842052 | − | 0.539397i | \(-0.818652\pi\) |
−0.103293 | + | 0.994651i | \(0.532938\pi\) | |||||||
\(684\) | 1.60992 | − | 7.05350i | 0.0615567 | − | 0.269697i | ||||
\(685\) | −4.32826 | + | 5.42746i | −0.165374 | + | 0.207373i | ||||
\(686\) | 12.8271 | + | 16.0846i | 0.489739 | + | 0.614114i | ||||
\(687\) | 6.81056 | 0.259839 | ||||||||
\(688\) | −3.62319 | − | 18.7474i | −0.138133 | − | 0.714738i | ||||
\(689\) | −4.86666 | −0.185405 | ||||||||
\(690\) | −0.978894 | − | 1.22749i | −0.0372658 | − | 0.0467299i | ||||
\(691\) | −13.1664 | + | 16.5101i | −0.500872 | + | 0.628074i | −0.966426 | − | 0.256946i | \(-0.917284\pi\) |
0.465554 | + | 0.885020i | \(0.345855\pi\) | |||||||
\(692\) | −0.870469 | + | 3.81378i | −0.0330903 | + | 0.144978i | ||||
\(693\) | −7.39493 | + | 3.56121i | −0.280910 | + | 0.135279i | ||||
\(694\) | −17.9879 | −0.682812 | ||||||||
\(695\) | −3.36898 | −0.127793 | ||||||||
\(696\) | 7.33513 | − | 3.53241i | 0.278037 | − | 0.133896i | ||||
\(697\) | −5.82371 | − | 25.5153i | −0.220589 | − | 0.966462i | ||||
\(698\) | 31.8940 | + | 15.3594i | 1.20721 | + | 0.581360i | ||||
\(699\) | 2.53750 | + | 11.1175i | 0.0959771 | + | 0.420503i | ||||
\(700\) | 1.76659 | + | 2.21524i | 0.0667710 | + | 0.0837282i | ||||
\(701\) | 0.209480 | − | 0.100880i | 0.00791195 | − | 0.00381019i | −0.429924 | − | 0.902865i | \(-0.641460\pi\) |
0.437836 | + | 0.899055i | \(0.355745\pi\) | |||||||
\(702\) | 3.17613 | + | 3.98274i | 0.119875 | + | 0.150319i | ||||
\(703\) | −9.27748 | + | 40.6473i | −0.349907 | + | 1.53304i | ||||
\(704\) | 17.3104 | + | 8.33626i | 0.652411 | + | 0.314185i | ||||
\(705\) | 2.43416 | + | 1.17223i | 0.0916756 | + | 0.0441487i | ||||
\(706\) | 10.5861 | − | 13.2746i | 0.398414 | − | 0.499595i | ||||
\(707\) | 1.02470 | − | 4.48948i | 0.0385376 | − | 0.168844i | ||||
\(708\) | −0.321552 | − | 1.40881i | −0.0120847 | − | 0.0529464i | ||||
\(709\) | 11.1645 | − | 13.9998i | 0.419292 | − | 0.525775i | −0.526663 | − | 0.850074i | \(-0.676557\pi\) |
0.945955 | + | 0.324299i | \(0.105128\pi\) | |||||||
\(710\) | 0.725873 | − | 0.910216i | 0.0272415 | − | 0.0341598i | ||||
\(711\) | −1.30194 | − | 5.70416i | −0.0488265 | − | 0.213923i | ||||
\(712\) | 1.00993 | − | 4.42477i | 0.0378486 | − | 0.165825i | ||||
\(713\) | 24.2377 | − | 30.3931i | 0.907710 | − | 1.13823i | ||||
\(714\) | 1.69202 | + | 0.814835i | 0.0633223 | + | 0.0304944i | ||||
\(715\) | 1.70775 | + | 0.822410i | 0.0638663 | + | 0.0307564i | ||||
\(716\) | −2.11960 | + | 9.28660i | −0.0792134 | + | 0.347056i | ||||
\(717\) | −1.84870 | − | 2.31820i | −0.0690409 | − | 0.0865746i | ||||
\(718\) | −36.8364 | + | 17.7395i | −1.37472 | + | 0.662031i | ||||
\(719\) | −3.95444 | − | 4.95870i | −0.147476 | − | 0.184928i | 0.702607 | − | 0.711578i | \(-0.252019\pi\) |
−0.850082 | + | 0.526650i | \(0.823448\pi\) | |||||||
\(720\) | −1.00753 | − | 4.41429i | −0.0375485 | − | 0.164511i | ||||
\(721\) | 6.23221 | + | 3.00127i | 0.232100 | + | 0.111773i | ||||
\(722\) | 4.06853 | + | 17.8254i | 0.151415 | + | 0.663393i | ||||
\(723\) | −1.04407 | + | 0.502799i | −0.0388295 | + | 0.0186993i | ||||
\(724\) | −11.7192 | −0.435539 | ||||||||
\(725\) | 28.1521 | 1.04554 | ||||||||
\(726\) | −3.16972 | + | 1.52646i | −0.117639 | + | 0.0566521i | ||||
\(727\) | 2.27077 | − | 9.94891i | 0.0842184 | − | 0.368985i | −0.915203 | − | 0.402993i | \(-0.867970\pi\) |
0.999422 | + | 0.0340079i | \(0.0108272\pi\) | |||||||
\(728\) | 4.08091 | − | 5.11730i | 0.151249 | − | 0.189660i | ||||
\(729\) | −10.5278 | − | 13.2015i | −0.389919 | − | 0.488943i | ||||
\(730\) | 2.75302 | 0.101894 | ||||||||
\(731\) | 3.10321 | + | 16.0569i | 0.114776 | + | 0.593885i | ||||
\(732\) | −1.60388 | −0.0592809 | ||||||||
\(733\) | −3.01842 | − | 3.78498i | −0.111488 | − | 0.139801i | 0.722957 | − | 0.690894i | \(-0.242783\pi\) |
−0.834444 | + | 0.551092i | \(0.814211\pi\) | |||||||
\(734\) | −19.8233 | + | 24.8577i | −0.731693 | + | 0.917514i | ||||
\(735\) | 0.283520 | − | 1.24218i | 0.0104578 | − | 0.0458186i | ||||
\(736\) | 11.3300 | − | 5.45626i | 0.417631 | − | 0.201120i | ||||
\(737\) | −15.9409 | −0.587191 | ||||||||
\(738\) | 36.6655 | 1.34967 | ||||||||
\(739\) | −22.0797 | + | 10.6330i | −0.812215 | + | 0.391142i | −0.793415 | − | 0.608681i | \(-0.791699\pi\) |
−0.0188003 | + | 0.999823i | \(0.505985\pi\) | |||||||
\(740\) | −0.394928 | − | 1.73029i | −0.0145178 | − | 0.0636068i | ||||
\(741\) | 3.68060 | + | 1.77249i | 0.135210 | + | 0.0651139i | ||||
\(742\) | −1.15817 | − | 5.07427i | −0.0425177 | − | 0.186282i | ||||
\(743\) | −15.9544 | − | 20.0061i | −0.585309 | − | 0.733954i | 0.397699 | − | 0.917516i | \(-0.369809\pi\) |
−0.983008 | + | 0.183562i | \(0.941237\pi\) | |||||||
\(744\) | −9.32251 | + | 4.48948i | −0.341780 | + | 0.164593i | ||||
\(745\) | −0.952575 | − | 1.19449i | −0.0348996 | − | 0.0437628i | ||||
\(746\) | 7.64861 | − | 33.5108i | 0.280036 | − | 1.22692i | ||||
\(747\) | 2.31551 | + | 1.11509i | 0.0847201 | + | 0.0407991i | ||||
\(748\) | −2.15883 | − | 1.03964i | −0.0789348 | − | 0.0380130i | ||||
\(749\) | 0.260553 | − | 0.326723i | 0.00952040 | − | 0.0119382i | ||||
\(750\) | −0.664210 | + | 2.91010i | −0.0242535 | + | 0.106262i | ||||
\(751\) | −4.87047 | − | 21.3389i | −0.177726 | − | 0.778668i | −0.982677 | − | 0.185327i | \(-0.940666\pi\) |
0.804951 | − | 0.593341i | \(-0.202192\pi\) | |||||||
\(752\) | 19.8599 | − | 24.9035i | 0.724215 | − | 0.908137i | ||||
\(753\) | 1.84415 | − | 2.31249i | 0.0672046 | − | 0.0842719i | ||||
\(754\) | −2.63401 | − | 11.5403i | −0.0959249 | − | 0.420274i | ||||
\(755\) | 2.30313 | − | 10.0907i | 0.0838196 | − | 0.367238i | ||||
\(756\) | 0.972189 | − | 1.21909i | 0.0353582 | − | 0.0443377i | ||||
\(757\) | 25.6102 | + | 12.3332i | 0.930819 | + | 0.448259i | 0.836921 | − | 0.547323i | \(-0.184353\pi\) |
0.0938976 | + | 0.995582i | \(0.470067\pi\) | |||||||
\(758\) | 31.6368 | + | 15.2355i | 1.14910 | + | 0.553378i | ||||
\(759\) | 1.08987 | − | 4.77505i | 0.0395600 | − | 0.173323i | ||||
\(760\) | −6.12080 | − | 7.67524i | −0.222025 | − | 0.278410i | ||||
\(761\) | 26.4964 | − | 12.7600i | 0.960494 | − | 0.462550i | 0.113141 | − | 0.993579i | \(-0.463909\pi\) |
0.847353 | + | 0.531029i | \(0.178195\pi\) | |||||||
\(762\) | 1.72819 | + | 2.16709i | 0.0626058 | + | 0.0785052i | ||||
\(763\) | −4.13706 | − | 18.1257i | −0.149772 | − | 0.656193i | ||||
\(764\) | 3.48427 | + | 1.67794i | 0.126056 | + | 0.0607056i | ||||
\(765\) | 0.862937 | + | 3.78077i | 0.0311995 | + | 0.136694i | ||||
\(766\) | 32.1579 | − | 15.4864i | 1.16191 | − | 0.559548i | ||||
\(767\) | −11.5429 | −0.416789 | ||||||||
\(768\) | −4.50066 | −0.162404 | ||||||||
\(769\) | −17.2763 | + | 8.31982i | −0.622999 | + | 0.300020i | −0.718626 | − | 0.695397i | \(-0.755229\pi\) |
0.0956272 | + | 0.995417i | \(0.469514\pi\) | |||||||
\(770\) | −0.451083 | + | 1.97632i | −0.0162559 | + | 0.0712217i | ||||
\(771\) | 0.390084 | − | 0.489150i | 0.0140485 | − | 0.0176163i | ||||
\(772\) | −0.571884 | − | 0.717120i | −0.0205826 | − | 0.0258097i | ||||
\(773\) | −39.5725 | −1.42333 | −0.711663 | − | 0.702521i | \(-0.752057\pi\) | ||||
−0.711663 | + | 0.702521i | \(0.752057\pi\) | |||||||
\(774\) | −22.8986 | − | 0.767144i | −0.823072 | − | 0.0275744i | ||||
\(775\) | −35.7797 | −1.28524 | ||||||||
\(776\) | −28.7521 | − | 36.0540i | −1.03214 | − | 1.29426i | ||||
\(777\) | −2.70560 | + | 3.39271i | −0.0970627 | + | 0.121713i | ||||
\(778\) | 9.80008 | − | 42.9369i | 0.351350 | − | 1.53936i | ||||
\(779\) | 54.8558 | − | 26.4171i | 1.96541 | − | 0.946492i | ||||
\(780\) | −0.173899 | −0.00622659 | ||||||||
\(781\) | 3.63188 | 0.129959 | ||||||||
\(782\) | 14.2838 | − | 6.87872i | 0.510788 | − | 0.245983i | ||||
\(783\) | −3.44743 | − | 15.1042i | −0.123201 | − | 0.539780i | ||||
\(784\) | −13.5341 | − | 6.51770i | −0.483362 | − | 0.232775i | ||||
\(785\) | −1.63371 | − | 7.15776i | −0.0583096 | − | 0.255471i | ||||
\(786\) | 6.20291 | + | 7.77820i | 0.221250 | + | 0.277439i | ||||
\(787\) | 12.3487 | − | 5.94682i | 0.440184 | − | 0.211981i | −0.200647 | − | 0.979664i | \(-0.564304\pi\) |
0.640831 | + | 0.767682i | \(0.278590\pi\) | |||||||
\(788\) | −0.126842 | − | 0.159055i | −0.00451857 | − | 0.00566610i | ||||
\(789\) | 0.311331 | − | 1.36403i | 0.0110837 | − | 0.0485607i | ||||
\(790\) | −1.30194 | − | 0.626980i | −0.0463209 | − | 0.0223070i | ||||
\(791\) | 23.0840 | + | 11.1167i | 0.820773 | + | 0.395264i | ||||
\(792\) | 11.4988 | − | 14.4190i | 0.408592 | − | 0.512358i | ||||
\(793\) | −2.85086 | + | 12.4904i | −0.101237 | + | 0.443548i | ||||
\(794\) | 0.937509 | + | 4.10750i | 0.0332710 | + | 0.145770i | ||||
\(795\) | −0.473681 | + | 0.593977i | −0.0167997 | + | 0.0210662i | ||||
\(796\) | −0.572712 | + | 0.718158i | −0.0202992 | + | 0.0254544i | ||||
\(797\) | 8.09472 | + | 35.4653i | 0.286730 | + | 1.25624i | 0.888983 | + | 0.457940i | \(0.151412\pi\) |
−0.602254 | + | 0.798305i | \(0.705730\pi\) | |||||||
\(798\) | −0.972189 | + | 4.25944i | −0.0344151 | + | 0.150782i | ||||
\(799\) | −17.0097 | + | 21.3295i | −0.601760 | + | 0.754583i | ||||
\(800\) | −10.4281 | − | 5.02192i | −0.368690 | − | 0.177552i | ||||
\(801\) | −3.75786 | − | 1.80969i | −0.132778 | − | 0.0639423i | ||||
\(802\) | −4.69202 | + | 20.5571i | −0.165681 | + | 0.725896i | ||||
\(803\) | 5.35474 | + | 6.71463i | 0.188965 | + | 0.236954i | ||||
\(804\) | 1.31767 | − | 0.634555i | 0.0464705 | − | 0.0223790i | ||||
\(805\) | 2.39344 | + | 3.00127i | 0.0843575 | + | 0.105781i | ||||
\(806\) | 3.34767 | + | 14.6671i | 0.117917 | + | 0.516626i | ||||
\(807\) | 4.62253 | + | 2.22609i | 0.162721 | + | 0.0783622i | ||||
\(808\) | 2.30247 | + | 10.0878i | 0.0810006 | + | 0.354887i | ||||
\(809\) | 34.0274 | − | 16.3868i | 1.19634 | − | 0.576128i | 0.273710 | − | 0.961812i | \(-0.411749\pi\) |
0.922631 | + | 0.385685i | \(0.126035\pi\) | |||||||
\(810\) | −5.02177 | −0.176447 | ||||||||
\(811\) | −37.9694 | −1.33329 | −0.666643 | − | 0.745377i | \(-0.732269\pi\) | ||||
−0.666643 | + | 0.745377i | \(0.732269\pi\) | |||||||
\(812\) | −3.26444 | + | 1.57207i | −0.114559 | + | 0.0551689i | ||||
\(813\) | 1.32275 | − | 5.79534i | 0.0463908 | − | 0.203251i | ||||
\(814\) | −12.0613 | + | 15.1244i | −0.422748 | + | 0.530109i | ||||
\(815\) | −3.62163 | − | 4.54138i | −0.126860 | − | 0.159078i | ||||
\(816\) | −3.23191 | −0.113140 | ||||||||
\(817\) | −34.8116 | + | 15.3505i | −1.21790 | + | 0.537045i | ||||
\(818\) | −2.32006 | −0.0811190 | ||||||||
\(819\) | −3.75033 | − | 4.70277i | −0.131047 | − | 0.164328i | ||||
\(820\) | −1.61596 | + | 2.02635i | −0.0564317 | + | 0.0707631i | ||||
\(821\) | −3.74578 | + | 16.4113i | −0.130729 | + | 0.572760i | 0.866554 | + | 0.499084i | \(0.166330\pi\) |
−0.997282 | + | 0.0736758i | \(0.976527\pi\) | |||||||
\(822\) | −6.25451 | + | 3.01201i | −0.218151 | + | 0.105056i | ||||
\(823\) | 17.7205 | 0.617698 | 0.308849 | − | 0.951111i | \(-0.400056\pi\) | ||||
0.308849 | + | 0.951111i | \(0.400056\pi\) | |||||||
\(824\) | −15.5429 | −0.541462 | ||||||||
\(825\) | −4.06153 | + | 1.95593i | −0.141404 | + | 0.0680968i | ||||
\(826\) | −2.74698 | − | 12.0353i | −0.0955796 | − | 0.418762i | ||||
\(827\) | 44.1492 | + | 21.2611i | 1.53522 | + | 0.739322i | 0.994778 | − | 0.102060i | \(-0.0325435\pi\) |
0.540440 | + | 0.841383i | \(0.318258\pi\) | |||||||
\(828\) | −1.41454 | − | 6.19752i | −0.0491587 | − | 0.215379i | ||||
\(829\) | 28.5262 | + | 35.7708i | 0.990757 | + | 1.24237i | 0.970131 | + | 0.242583i | \(0.0779948\pi\) |
0.0206269 | + | 0.999787i | \(0.493434\pi\) | |||||||
\(830\) | 0.571884 | − | 0.275405i | 0.0198504 | − | 0.00955944i | ||||
\(831\) | 3.68263 | + | 4.61787i | 0.127749 | + | 0.160192i | ||||
\(832\) | −3.13318 | + | 13.7274i | −0.108623 | + | 0.475910i | ||||
\(833\) | 11.5918 | + | 5.58231i | 0.401632 | + | 0.193416i | ||||
\(834\) | −3.03534 | − | 1.46174i | −0.105105 | − | 0.0506161i | ||||
\(835\) | 5.03952 | − | 6.31936i | 0.174400 | − | 0.218691i | ||||
\(836\) | 1.24041 | − | 5.43458i | 0.0429004 | − | 0.187959i | ||||
\(837\) | 4.38149 | + | 19.1965i | 0.151446 | + | 0.663530i | ||||
\(838\) | 12.8373 | − | 16.0974i | 0.443457 | − | 0.556077i | ||||
\(839\) | 13.6332 | − | 17.0955i | 0.470670 | − | 0.590201i | −0.488665 | − | 0.872471i | \(-0.662516\pi\) |
0.959335 | + | 0.282270i | \(0.0910875\pi\) | |||||||
\(840\) | −0.227365 | − | 0.996152i | −0.00784485 | − | 0.0343705i | ||||
\(841\) | −1.55765 | + | 6.82450i | −0.0537119 | + | 0.235327i | ||||
\(842\) | −17.0951 | + | 21.4366i | −0.589138 | + | 0.738755i | ||||
\(843\) | 6.38231 | + | 3.07356i | 0.219819 | + | 0.105859i | ||||
\(844\) | 0.339010 | + | 0.163259i | 0.0116692 | + | 0.00561960i | ||||
\(845\) | 1.29627 | − | 5.67931i | 0.0445929 | − | 0.195374i | ||||
\(846\) | −23.8300 | − | 29.8819i | −0.819294 | − | 1.02736i | ||||
\(847\) | 7.75010 | − | 3.73225i | 0.266296 | − | 0.128242i | ||||
\(848\) | 5.58463 | + | 7.00290i | 0.191777 | + | 0.240481i | ||||
\(849\) | −2.35498 | − | 10.3178i | −0.0808226 | − | 0.354107i | ||||
\(850\) | −13.1468 | − | 6.33114i | −0.450930 | − | 0.217156i | ||||
\(851\) | 8.15160 | + | 35.7145i | 0.279433 | + | 1.22428i | ||||
\(852\) | −0.300209 | + | 0.144573i | −0.0102850 | + | 0.00495299i | ||||
\(853\) | −32.3217 | −1.10667 | −0.553337 | − | 0.832957i | \(-0.686646\pi\) | ||||
−0.553337 | + | 0.832957i | \(0.686646\pi\) | |||||||
\(854\) | −13.7017 | −0.468863 | ||||||||
\(855\) | −8.12833 | + | 3.91440i | −0.277983 | + | 0.133870i | ||||
\(856\) | −0.208947 | + | 0.915458i | −0.00714167 | + | 0.0312897i | ||||
\(857\) | −11.3237 | + | 14.1995i | −0.386810 | + | 0.485045i | −0.936671 | − | 0.350212i | \(-0.886110\pi\) |
0.549860 | + | 0.835257i | \(0.314681\pi\) | |||||||
\(858\) | 1.18180 | + | 1.48193i | 0.0403460 | + | 0.0505923i | ||||
\(859\) | 53.6402 | 1.83018 | 0.915091 | − | 0.403248i | \(-0.132119\pi\) | ||||
0.915091 | + | 0.403248i | \(0.132119\pi\) | |||||||
\(860\) | 1.05161 | − | 1.23170i | 0.0358595 | − | 0.0420005i | ||||
\(861\) | 6.33704 | 0.215966 | ||||||||
\(862\) | −14.9186 | − | 18.7073i | −0.508128 | − | 0.637173i | ||||
\(863\) | −34.3036 | + | 43.0153i | −1.16771 | + | 1.46426i | −0.309540 | + | 0.950886i | \(0.600175\pi\) |
−0.858166 | + | 0.513372i | \(0.828396\pi\) | |||||||
\(864\) | −1.41736 | + | 6.20987i | −0.0482196 | + | 0.211264i | ||||
\(865\) | 4.39493 | − | 2.11649i | 0.149432 | − | 0.0719627i | ||||
\(866\) | −17.2174 | −0.585072 | ||||||||
\(867\) | −4.79763 | −0.162936 | ||||||||
\(868\) | 4.14891 | − | 1.99801i | 0.140823 | − | 0.0678168i | ||||
\(869\) | −1.00312 | − | 4.39494i | −0.0340284 | − | 0.149088i | ||||
\(870\) | −1.66487 | − | 0.801761i | −0.0564445 | − | 0.0271823i | ||||
\(871\) | −2.59956 | − | 11.3894i | −0.0880829 | − | 0.385916i | ||||
\(872\) | 26.0465 | + | 32.6613i | 0.882047 | + | 1.10605i | ||||
\(873\) | −38.1824 | + | 18.3877i | −1.29228 | + | 0.622328i | ||||
\(874\) | 22.9957 | + | 28.8358i | 0.777843 | + | 0.975384i | ||||
\(875\) | 1.62402 | − | 7.11531i | 0.0549020 | − | 0.240541i | ||||
\(876\) | −0.709907 | − | 0.341873i | −0.0239855 | − | 0.0115508i | ||||
\(877\) | 9.10872 | + | 4.38653i | 0.307580 | + | 0.148123i | 0.581306 | − | 0.813685i | \(-0.302542\pi\) |
−0.273726 | + | 0.961808i | \(0.588256\pi\) | |||||||
\(878\) | −9.29925 | + | 11.6609i | −0.313834 | + | 0.393536i | ||||
\(879\) | −1.25667 | + | 5.50582i | −0.0423864 | + | 0.185707i | ||||
\(880\) | −0.776283 | − | 3.40112i | −0.0261685 | − | 0.114652i | ||||
\(881\) | 25.2709 | − | 31.6887i | 0.851398 | − | 1.06762i | −0.145534 | − | 0.989353i | \(-0.546490\pi\) |
0.996932 | − | 0.0782666i | \(-0.0249385\pi\) | |||||||
\(882\) | −11.2383 | + | 14.0923i | −0.378412 | + | 0.474513i | ||||
\(883\) | 0.104776 | + | 0.459056i | 0.00352601 | + | 0.0154484i | 0.976660 | − | 0.214790i | \(-0.0689066\pi\) |
−0.973134 | + | 0.230238i | \(0.926049\pi\) | |||||||
\(884\) | 0.390748 | − | 1.71198i | 0.0131423 | − | 0.0575800i | ||||
\(885\) | −1.12349 | + | 1.40881i | −0.0377657 | + | 0.0473567i | ||||
\(886\) | −16.6528 | − | 8.01956i | −0.559462 | − | 0.269422i | ||||
\(887\) | 31.6552 | + | 15.2444i | 1.06288 | + | 0.511856i | 0.881805 | − | 0.471614i | \(-0.156328\pi\) |
0.181074 | + | 0.983469i | \(0.442043\pi\) | |||||||
\(888\) | 2.16972 | − | 9.50616i | 0.0728110 | − | 0.319006i | ||||
\(889\) | −4.22550 | − | 5.29862i | −0.141719 | − | 0.177710i | ||||
\(890\) | −0.928116 | + | 0.446957i | −0.0311105 | + | 0.0149820i | ||||
\(891\) | −9.76755 | − | 12.2481i | −0.327225 | − | 0.410328i | ||||
\(892\) | −2.37047 | − | 10.3857i | −0.0793692 | − | 0.347739i | ||||
\(893\) | −57.1822 | − | 27.5375i | −1.91353 | − | 0.921506i | ||||
\(894\) | −0.339970 | − | 1.48951i | −0.0113703 | − | 0.0498165i | ||||
\(895\) | 10.7017 | − | 5.15367i | 0.357719 | − | 0.172268i | ||||
\(896\) | −8.36419 | −0.279428 | ||||||||
\(897\) | 3.58940 | 0.119847 | ||||||||
\(898\) | −21.7826 | + | 10.4900i | −0.726895 | + | 0.350054i | ||||
\(899\) | 10.1812 | − | 44.6067i | 0.339562 | − | 1.48772i | ||||
\(900\) | −3.64795 | + | 4.57438i | −0.121598 | + | 0.152479i | ||||
\(901\) | −4.78315 | − | 5.99788i | −0.159350 | − | 0.199818i | ||||
\(902\) | 28.2500 | 0.940621 | ||||||||
\(903\) | −3.95766 | − | 0.132589i | −0.131703 | − | 0.00441227i | ||||
\(904\) | −57.5706 | −1.91477 | ||||||||
\(905\) | 9.11141 | + | 11.4253i | 0.302873 | + | 0.379791i | ||||
\(906\) | 6.45324 | − | 8.09211i | 0.214394 | − | 0.268842i | ||||
\(907\) | 1.96788 | − | 8.62183i | 0.0653423 | − | 0.286283i | −0.931691 | − | 0.363251i | \(-0.881667\pi\) |
0.997034 | + | 0.0769678i | \(0.0245239\pi\) | |||||||
\(908\) | −2.12133 | + | 1.02158i | −0.0703989 | + | 0.0339023i | ||||
\(909\) | 9.50902 | 0.315394 | ||||||||
\(910\) | −1.48560 | −0.0492471 | ||||||||
\(911\) | 14.2594 | − | 6.86694i | 0.472434 | − | 0.227512i | −0.182489 | − | 0.983208i | \(-0.558415\pi\) |
0.654923 | + | 0.755696i | \(0.272701\pi\) | |||||||
\(912\) | −1.67307 | − | 7.33020i | −0.0554009 | − | 0.242727i | ||||
\(913\) | 1.78405 | + | 0.859154i | 0.0590435 | + | 0.0284339i | ||||
\(914\) | 5.97083 | + | 26.1599i | 0.197497 | + | 0.865293i | ||||
\(915\) | 1.24698 | + | 1.56366i | 0.0412239 | + | 0.0516931i | ||||
\(916\) | 6.13610 | − | 2.95499i | 0.202743 | − | 0.0976357i | ||||
\(917\) | −15.1664 | − | 19.0180i | −0.500838 | − | 0.628030i | ||||
\(918\) | −1.78687 | + | 7.82880i | −0.0589756 | + | 0.258389i | ||||
\(919\) | 34.8618 | + | 16.7886i | 1.14998 | + | 0.553803i | 0.909029 | − | 0.416733i | \(-0.136825\pi\) |
0.240956 | + | 0.970536i | \(0.422539\pi\) | |||||||
\(920\) | −7.77144 | − | 3.74253i | −0.256217 | − | 0.123387i | ||||
\(921\) | 5.04743 | − | 6.32927i | 0.166318 | − | 0.208557i | ||||
\(922\) | 9.22766 | − | 40.4290i | 0.303897 | − | 1.33146i | ||||
\(923\) | 0.592268 | + | 2.59489i | 0.0194947 | + | 0.0854120i | ||||
\(924\) | 0.361740 | − | 0.453608i | 0.0119004 | − | 0.0149226i | ||||
\(925\) | 21.0221 | − | 26.3608i | 0.691201 | − | 0.866739i | ||||
\(926\) | −4.87196 | − | 21.3455i | −0.160103 | − | 0.701455i | ||||
\(927\) | −3.17845 | + | 13.9257i | −0.104394 | + | 0.457380i | ||||
\(928\) | 9.22819 | − | 11.5718i | 0.302930 | − | 0.379863i | ||||
\(929\) | −3.71960 | − | 1.79126i | −0.122036 | − | 0.0587694i | 0.371870 | − | 0.928285i | \(-0.378717\pi\) |
−0.493906 | + | 0.869516i | \(0.664431\pi\) | |||||||
\(930\) | 2.11596 | + | 1.01899i | 0.0693850 | + | 0.0334140i | ||||
\(931\) | −6.66033 | + | 29.1808i | −0.218283 | + | 0.956362i | ||||
\(932\) | 7.10992 | + | 8.91555i | 0.232893 | + | 0.292039i | ||||
\(933\) | −2.92058 | + | 1.40648i | −0.0956156 | + | 0.0460460i | ||||
\(934\) | 12.3151 | + | 15.4427i | 0.402964 | + | 0.505301i | ||||
\(935\) | 0.664874 | + | 2.91301i | 0.0217437 | + | 0.0952655i | ||||
\(936\) | 12.1773 | + | 5.86426i | 0.398026 | + | 0.191679i | ||||
\(937\) | −0.502451 | − | 2.20138i | −0.0164144 | − | 0.0719161i | 0.966057 | − | 0.258328i | \(-0.0831714\pi\) |
−0.982472 | + | 0.186411i | \(0.940314\pi\) | |||||||
\(938\) | 11.2567 | − | 5.42093i | 0.367543 | − | 0.176999i | ||||
\(939\) | −8.33704 | −0.272069 | ||||||||
\(940\) | 2.70171 | 0.0881201 | ||||||||
\(941\) | −46.6301 | + | 22.4559i | −1.52010 | + | 0.732041i | −0.993039 | − | 0.117787i | \(-0.962420\pi\) |
−0.527060 | + | 0.849828i | \(0.676706\pi\) | |||||||
\(942\) | 1.63371 | − | 7.15776i | 0.0532292 | − | 0.233212i | ||||
\(943\) | 33.3545 | − | 41.8252i | 1.08617 | − | 1.36202i | ||||
\(944\) | 13.2458 | + | 16.6097i | 0.431114 | + | 0.540599i | ||||
\(945\) | −1.94438 | −0.0632506 | ||||||||
\(946\) | −17.6429 | − | 0.591068i | −0.573619 | − | 0.0192173i | ||||
\(947\) | −24.0965 | −0.783031 | −0.391516 | − | 0.920171i | \(-0.628049\pi\) | ||||
−0.391516 | + | 0.920171i | \(0.628049\pi\) | |||||||
\(948\) | 0.257865 | + | 0.323352i | 0.00837506 | + | 0.0105020i | ||||
\(949\) | −3.92423 | + | 4.92083i | −0.127386 | + | 0.159737i | ||||
\(950\) | 7.55376 | − | 33.0952i | 0.245076 | − | 1.07375i | ||||
\(951\) | −1.39104 | + | 0.669891i | −0.0451077 | + | 0.0217227i | ||||
\(952\) | 10.3177 | 0.334398 | ||||||||
\(953\) | 47.1189 | 1.52633 | 0.763165 | − | 0.646204i | \(-0.223644\pi\) | ||||
0.763165 | + | 0.646204i | \(0.223644\pi\) | |||||||
\(954\) | 9.68329 | − | 4.66323i | 0.313508 | − | 0.150978i | ||||
\(955\) | −1.07308 | − | 4.70147i | −0.0347241 | − | 0.152136i | ||||
\(956\) | −2.67145 | − | 1.28650i | −0.0864008 | − | 0.0416084i | ||||
\(957\) | −1.28275 | − | 5.62010i | −0.0414654 | − | 0.181672i | ||||
\(958\) | −22.2089 | − | 27.8490i | −0.717536 | − | 0.899762i | ||||
\(959\) | 15.2925 | − | 7.36450i | 0.493822 | − | 0.237812i | ||||
\(960\) | 1.37047 | + | 1.71851i | 0.0442317 | + | 0.0554648i | ||||
\(961\) | −6.04155 | + | 26.4698i | −0.194889 | + | 0.853863i | ||||
\(962\) | −12.7729 | − | 6.15112i | −0.411816 | − | 0.198320i | ||||
\(963\) | 0.777479 | + | 0.374414i | 0.0250539 | + | 0.0120653i | ||||
\(964\) | −0.722521 | + | 0.906013i | −0.0232708 | + | 0.0291807i | ||||
\(965\) | −0.254512 | + | 1.11509i | −0.00819304 | + | 0.0358961i | ||||
\(966\) | 0.854207 | + | 3.74253i | 0.0274837 | + | 0.120414i | ||||
\(967\) | −4.42274 | + | 5.54594i | −0.142226 | + | 0.178345i | −0.847842 | − | 0.530248i | \(-0.822099\pi\) |
0.705617 | + | 0.708594i | \(0.250670\pi\) | |||||||
\(968\) | −12.0511 | + | 15.1116i | −0.387336 | + | 0.485704i | ||||
\(969\) | 1.43296 | + | 6.27821i | 0.0460333 | + | 0.201685i | ||||
\(970\) | −2.32908 | + | 10.2044i | −0.0747824 | + | 0.327643i | ||||
\(971\) | 17.3327 | − | 21.7346i | 0.556234 | − | 0.697495i | −0.421623 | − | 0.906771i | \(-0.638539\pi\) |
0.977857 | + | 0.209276i | \(0.0671108\pi\) | |||||||
\(972\) | 4.40097 | + | 2.11939i | 0.141161 | + | 0.0679796i | ||||
\(973\) | 7.42154 | + | 3.57403i | 0.237924 | + | 0.114578i | ||||
\(974\) | 0.519614 | − | 2.27658i | 0.0166495 | − | 0.0729463i | ||||
\(975\) | −2.05980 | − | 2.58291i | −0.0659665 | − | 0.0827193i | ||||
\(976\) | 21.2446 | − | 10.2309i | 0.680023 | − | 0.327482i | ||||
\(977\) | 19.1163 | + | 23.9710i | 0.611583 | + | 0.766901i | 0.987133 | − | 0.159901i | \(-0.0511176\pi\) |
−0.375550 | + | 0.926802i | \(0.622546\pi\) | |||||||
\(978\) | −1.29254 | − | 5.66301i | −0.0413310 | − | 0.181083i | ||||
\(979\) | −2.89536 | − | 1.39433i | −0.0925359 | − | 0.0445630i | ||||
\(980\) | −0.283520 | − | 1.24218i | −0.00905671 | − | 0.0396800i | ||||
\(981\) | 34.5894 | − | 16.6574i | 1.10435 | − | 0.531829i | ||||
\(982\) | 36.4537 | 1.16328 | ||||||||
\(983\) | 14.7797 | 0.471399 | 0.235700 | − | 0.971826i | \(-0.424262\pi\) | ||||
0.235700 | + | 0.971826i | \(0.424262\pi\) | |||||||
\(984\) | −12.8291 | + | 6.17816i | −0.408976 | + | 0.196953i | ||||
\(985\) | −0.0564501 | + | 0.247324i | −0.00179865 | + | 0.00788040i | ||||
\(986\) | 11.6340 | − | 14.5886i | 0.370502 | − | 0.464595i | ||||
\(987\) | −4.11865 | − | 5.16462i | −0.131098 | − | 0.164392i | ||||
\(988\) | 4.08516 | 0.129966 | ||||||||
\(989\) | −21.7059 | + | 25.4231i | −0.690207 | + | 0.808408i | ||||
\(990\) | −4.18598 | −0.133039 | ||||||||
\(991\) | −38.8573 | − | 48.7255i | −1.23434 | − | 1.54782i | −0.728192 | − | 0.685373i | \(-0.759639\pi\) |
−0.506152 | − | 0.862444i | \(-0.668932\pi\) | |||||||
\(992\) | −11.7285 | + | 14.7071i | −0.372380 | + | 0.466950i | ||||
\(993\) | 1.37800 | − | 6.03742i | 0.0437296 | − | 0.191592i | ||||
\(994\) | −2.56465 | + | 1.23507i | −0.0813457 | + | 0.0391740i | ||||
\(995\) | 1.14542 | 0.0363124 | ||||||||
\(996\) | −0.181669 | −0.00575640 | ||||||||
\(997\) | −27.7613 | + | 13.3691i | −0.879208 | + | 0.423404i | −0.818335 | − | 0.574741i | \(-0.805103\pi\) |
−0.0608731 | + | 0.998146i | \(0.519388\pi\) | |||||||
\(998\) | 6.91872 | + | 30.3129i | 0.219008 | + | 0.959538i | ||||
\(999\) | −16.7174 | − | 8.05069i | −0.528916 | − | 0.254713i |
(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 | 43.2.e.a.11.1 | yes | 6 | |
3.2 | odd | 2 | 387.2.u.c.226.1 | 6 | |||
4.3 | odd | 2 | 688.2.u.b.97.1 | 6 | |||
43.2 | odd | 14 | 1849.2.a.j.1.3 | 3 | |||
43.4 | even | 7 | inner | 43.2.e.a.4.1 | ✓ | 6 | |
43.41 | even | 7 | 1849.2.a.k.1.1 | 3 | |||
129.47 | odd | 14 | 387.2.u.c.262.1 | 6 | |||
172.47 | odd | 14 | 688.2.u.b.305.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.e.a.4.1 | ✓ | 6 | 43.4 | even | 7 | inner | |
43.2.e.a.11.1 | yes | 6 | 1.1 | even | 1 | trivial | |
387.2.u.c.226.1 | 6 | 3.2 | odd | 2 | |||
387.2.u.c.262.1 | 6 | 129.47 | odd | 14 | |||
688.2.u.b.97.1 | 6 | 4.3 | odd | 2 | |||
688.2.u.b.305.1 | 6 | 172.47 | odd | 14 | |||
1849.2.a.j.1.3 | 3 | 43.2 | odd | 14 | |||
1849.2.a.k.1.1 | 3 | 43.41 | even | 7 |