Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 21x^{14} + 167x^{12} + 653x^{10} + 1350x^{8} + 1472x^{6} + 777x^{4} + 149x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 421.2 | ||
Root | \(-0.0834312i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.421 |
Dual form | 930.2.bg.d.391.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0.913545 | − | 0.406737i | 0.527436 | − | 0.234830i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | 0.978446 | + | 1.08667i | 0.369818 | + | 0.410724i | 0.899115 | − | 0.437712i | \(-0.144211\pi\) |
−0.529297 | + | 0.848436i | \(0.677544\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.669131 | − | 0.743145i | 0.223044 | − | 0.247715i | ||||
\(10\) | −0.913545 | − | 0.406737i | −0.288888 | − | 0.128621i | ||||
\(11\) | 1.01385 | − | 0.215501i | 0.305688 | − | 0.0649759i | −0.0525140 | − | 0.998620i | \(-0.516723\pi\) |
0.358202 | + | 0.933644i | \(0.383390\pi\) | |||||||
\(12\) | −0.104528 | − | 0.994522i | −0.0301748 | − | 0.287094i | ||||
\(13\) | −0.241819 | + | 2.30075i | −0.0670685 | + | 0.638114i | 0.908419 | + | 0.418060i | \(0.137290\pi\) |
−0.975488 | + | 0.220054i | \(0.929377\pi\) | |||||||
\(14\) | −1.43031 | − | 0.304022i | −0.382266 | − | 0.0812532i | ||||
\(15\) | 0.809017 | + | 0.587785i | 0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 1.15156 | + | 0.244772i | 0.279295 | + | 0.0593660i | 0.345429 | − | 0.938445i | \(-0.387733\pi\) |
−0.0661343 | + | 0.997811i | \(0.521067\pi\) | |||||||
\(18\) | −0.104528 | + | 0.994522i | −0.0246376 | + | 0.234411i | ||||
\(19\) | 0.720222 | + | 6.85246i | 0.165230 | + | 1.57206i | 0.691901 | + | 0.721992i | \(0.256773\pi\) |
−0.526671 | + | 0.850069i | \(0.676560\pi\) | |||||||
\(20\) | 0.978148 | − | 0.207912i | 0.218720 | − | 0.0464905i | ||||
\(21\) | 1.33584 | + | 0.594756i | 0.291505 | + | 0.129786i | ||||
\(22\) | −0.693554 | + | 0.770270i | −0.147866 | + | 0.164222i | ||||
\(23\) | −1.62425 | − | 4.99892i | −0.338679 | − | 1.04235i | −0.964881 | − | 0.262687i | \(-0.915391\pi\) |
0.626202 | − | 0.779661i | \(-0.284609\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.15671 | − | 2.00349i | −0.226850 | − | 0.392916i | ||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | 1.33584 | − | 0.594756i | 0.252451 | − | 0.112398i | ||||
\(29\) | 2.58027 | − | 1.87468i | 0.479145 | − | 0.348119i | −0.321850 | − | 0.946791i | \(-0.604305\pi\) |
0.800994 | + | 0.598672i | \(0.204305\pi\) | |||||||
\(30\) | −1.00000 | −0.182574 | ||||||||
\(31\) | 4.38497 | + | 3.43104i | 0.787564 | + | 0.616233i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.838547 | − | 0.609240i | 0.145972 | − | 0.106055i | ||||
\(34\) | −1.07551 | + | 0.478847i | −0.184448 | + | 0.0821216i | ||||
\(35\) | −0.451864 | + | 1.39070i | −0.0763790 | + | 0.235071i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −3.71929 | + | 6.44200i | −0.611448 | + | 1.05906i | 0.379549 | + | 0.925172i | \(0.376079\pi\) |
−0.990997 | + | 0.133887i | \(0.957254\pi\) | |||||||
\(38\) | −4.61045 | − | 5.12042i | −0.747913 | − | 0.830642i | ||||
\(39\) | 0.714888 | + | 2.20020i | 0.114474 | + | 0.352314i | ||||
\(40\) | −0.669131 | + | 0.743145i | −0.105799 | + | 0.117502i | ||||
\(41\) | 3.43349 | + | 1.52869i | 0.536222 | + | 0.238741i | 0.656936 | − | 0.753946i | \(-0.271852\pi\) |
−0.120715 | + | 0.992687i | \(0.538519\pi\) | |||||||
\(42\) | −1.43031 | + | 0.304022i | −0.220702 | + | 0.0469116i | ||||
\(43\) | −0.199669 | − | 1.89973i | −0.0304493 | − | 0.289705i | −0.999141 | − | 0.0414390i | \(-0.986806\pi\) |
0.968692 | − | 0.248267i | \(-0.0798609\pi\) | |||||||
\(44\) | 0.108344 | − | 1.03082i | 0.0163334 | − | 0.155402i | ||||
\(45\) | 0.978148 | + | 0.207912i | 0.145814 | + | 0.0309936i | ||||
\(46\) | 4.25234 | + | 3.08950i | 0.626973 | + | 0.455523i | ||||
\(47\) | −0.374839 | − | 0.272336i | −0.0546759 | − | 0.0397244i | 0.560112 | − | 0.828417i | \(-0.310758\pi\) |
−0.614788 | + | 0.788693i | \(0.710758\pi\) | |||||||
\(48\) | −0.978148 | − | 0.207912i | −0.141183 | − | 0.0300095i | ||||
\(49\) | 0.508195 | − | 4.83515i | 0.0725993 | − | 0.690736i | ||||
\(50\) | −0.104528 | − | 0.994522i | −0.0147826 | − | 0.140647i | ||||
\(51\) | 1.15156 | − | 0.244772i | 0.161251 | − | 0.0342750i | ||||
\(52\) | 2.11342 | + | 0.940955i | 0.293079 | + | 0.130487i | ||||
\(53\) | −2.94892 | + | 3.27510i | −0.405065 | + | 0.449870i | −0.910818 | − | 0.412808i | \(-0.864548\pi\) |
0.505753 | + | 0.862678i | \(0.331215\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 0.693554 | + | 0.770270i | 0.0935189 | + | 0.103863i | ||||
\(56\) | −0.731132 | + | 1.26636i | −0.0977016 | + | 0.169224i | ||||
\(57\) | 3.44510 | + | 5.96709i | 0.456315 | + | 0.790361i | ||||
\(58\) | −0.985576 | + | 3.03329i | −0.129413 | + | 0.398291i | ||||
\(59\) | −6.65183 | + | 2.96159i | −0.865995 | + | 0.385566i | −0.791145 | − | 0.611629i | \(-0.790514\pi\) |
−0.0748500 | + | 0.997195i | \(0.523848\pi\) | |||||||
\(60\) | 0.809017 | − | 0.587785i | 0.104444 | − | 0.0758827i | ||||
\(61\) | 7.09221 | 0.908065 | 0.454032 | − | 0.890985i | \(-0.349985\pi\) | ||||
0.454032 | + | 0.890985i | \(0.349985\pi\) | |||||||
\(62\) | −5.56423 | − | 0.198351i | −0.706658 | − | 0.0251906i | ||||
\(63\) | 1.46226 | 0.184228 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −2.11342 | + | 0.940955i | −0.262138 | + | 0.116711i | ||||
\(66\) | −0.320296 | + | 0.985771i | −0.0394258 | + | 0.121340i | ||||
\(67\) | 3.51170 | + | 6.08245i | 0.429023 | + | 0.743089i | 0.996787 | − | 0.0801022i | \(-0.0255247\pi\) |
−0.567764 | + | 0.823191i | \(0.692191\pi\) | |||||||
\(68\) | 0.588645 | − | 1.01956i | 0.0713837 | − | 0.123640i | ||||
\(69\) | −3.51707 | − | 3.90610i | −0.423405 | − | 0.470239i | ||||
\(70\) | −0.451864 | − | 1.39070i | −0.0540081 | − | 0.166220i | ||||
\(71\) | 10.8407 | − | 12.0398i | 1.28656 | − | 1.42887i | 0.438709 | − | 0.898629i | \(-0.355436\pi\) |
0.847849 | − | 0.530238i | \(-0.177897\pi\) | |||||||
\(72\) | 0.913545 | + | 0.406737i | 0.107662 | + | 0.0479344i | ||||
\(73\) | 10.0440 | − | 2.13493i | 1.17557 | − | 0.249874i | 0.421596 | − | 0.906784i | \(-0.361470\pi\) |
0.753969 | + | 0.656910i | \(0.228137\pi\) | |||||||
\(74\) | −0.777544 | − | 7.39784i | −0.0903876 | − | 0.859981i | ||||
\(75\) | −0.104528 | + | 0.994522i | −0.0120699 | + | 0.114837i | ||||
\(76\) | 6.73964 | + | 1.43255i | 0.773089 | + | 0.164325i | ||||
\(77\) | 1.22618 | + | 0.890870i | 0.139736 | + | 0.101524i | ||||
\(78\) | −1.87160 | − | 1.35980i | −0.211917 | − | 0.153967i | ||||
\(79\) | 3.80512 | + | 0.808803i | 0.428110 | + | 0.0909975i | 0.416927 | − | 0.908940i | \(-0.363107\pi\) |
0.0111825 | + | 0.999937i | \(0.496440\pi\) | |||||||
\(80\) | 0.104528 | − | 0.994522i | 0.0116866 | − | 0.111191i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | −3.67630 | + | 0.781421i | −0.405979 | + | 0.0862935i | ||||
\(83\) | 5.72445 | + | 2.54869i | 0.628340 | + | 0.279755i | 0.696098 | − | 0.717947i | \(-0.254918\pi\) |
−0.0677578 | + | 0.997702i | \(0.521585\pi\) | |||||||
\(84\) | 0.978446 | − | 1.08667i | 0.106757 | − | 0.118566i | ||||
\(85\) | 0.363803 | + | 1.11967i | 0.0394599 | + | 0.121445i | ||||
\(86\) | 1.27817 | + | 1.41955i | 0.137828 | + | 0.153074i | ||||
\(87\) | 1.59470 | − | 2.76209i | 0.170969 | − | 0.296128i | ||||
\(88\) | 0.518250 | + | 0.897636i | 0.0552457 | + | 0.0956883i | ||||
\(89\) | −2.27442 | + | 6.99995i | −0.241088 | + | 0.741993i | 0.755167 | + | 0.655532i | \(0.227556\pi\) |
−0.996255 | + | 0.0864607i | \(0.972444\pi\) | |||||||
\(90\) | −0.913545 | + | 0.406737i | −0.0962961 | + | 0.0428738i | ||||
\(91\) | −2.73678 | + | 1.98838i | −0.286892 | + | 0.208439i | ||||
\(92\) | −5.25618 | −0.547995 | ||||||||
\(93\) | 5.40140 | + | 1.35089i | 0.560099 | + | 0.140080i | ||||
\(94\) | 0.463327 | 0.0477885 | ||||||||
\(95\) | −5.57429 | + | 4.04996i | −0.571910 | + | 0.415517i | ||||
\(96\) | 0.913545 | − | 0.406737i | 0.0932383 | − | 0.0415124i | ||||
\(97\) | −4.37633 | + | 13.4690i | −0.444349 | + | 1.36757i | 0.438847 | + | 0.898562i | \(0.355387\pi\) |
−0.883196 | + | 0.469004i | \(0.844613\pi\) | |||||||
\(98\) | 2.43089 | + | 4.21043i | 0.245557 | + | 0.425317i | ||||
\(99\) | 0.518250 | − | 0.897636i | 0.0520861 | − | 0.0902158i | ||||
\(100\) | 0.669131 | + | 0.743145i | 0.0669131 | + | 0.0743145i | ||||
\(101\) | −1.18945 | − | 3.66075i | −0.118355 | − | 0.364258i | 0.874277 | − | 0.485427i | \(-0.161336\pi\) |
−0.992632 | + | 0.121169i | \(0.961336\pi\) | |||||||
\(102\) | −0.787761 | + | 0.874897i | −0.0779999 | + | 0.0866277i | ||||
\(103\) | −4.91037 | − | 2.18624i | −0.483833 | − | 0.215416i | 0.150300 | − | 0.988640i | \(-0.451976\pi\) |
−0.634133 | + | 0.773224i | \(0.718643\pi\) | |||||||
\(104\) | −2.26287 | + | 0.480988i | −0.221893 | + | 0.0471648i | ||||
\(105\) | 0.152848 | + | 1.45425i | 0.0149165 | + | 0.141921i | ||||
\(106\) | 0.460666 | − | 4.38294i | 0.0447438 | − | 0.425709i | ||||
\(107\) | −11.9272 | − | 2.53522i | −1.15305 | − | 0.245088i | −0.408566 | − | 0.912729i | \(-0.633971\pi\) |
−0.744484 | + | 0.667640i | \(0.767305\pi\) | |||||||
\(108\) | −0.809017 | − | 0.587785i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | −2.26384 | − | 1.64478i | −0.216837 | − | 0.157541i | 0.474065 | − | 0.880490i | \(-0.342786\pi\) |
−0.690902 | + | 0.722949i | \(0.742786\pi\) | |||||||
\(110\) | −1.01385 | − | 0.215501i | −0.0966669 | − | 0.0205472i | ||||
\(111\) | −0.777544 | + | 7.39784i | −0.0738012 | + | 0.702171i | ||||
\(112\) | −0.152848 | − | 1.45425i | −0.0144428 | − | 0.137414i | ||||
\(113\) | 0.113254 | − | 0.0240729i | 0.0106540 | − | 0.00226458i | −0.202582 | − | 0.979265i | \(-0.564933\pi\) |
0.213236 | + | 0.977001i | \(0.431600\pi\) | |||||||
\(114\) | −6.29451 | − | 2.80250i | −0.589535 | − | 0.262478i | ||||
\(115\) | 3.51707 | − | 3.90610i | 0.327968 | − | 0.364246i | ||||
\(116\) | −0.985576 | − | 3.03329i | −0.0915085 | − | 0.281634i | ||||
\(117\) | 1.54798 | + | 1.71921i | 0.143111 | + | 0.158941i | ||||
\(118\) | 3.64067 | − | 6.30582i | 0.335151 | − | 0.580498i | ||||
\(119\) | 0.860754 | + | 1.49087i | 0.0789052 | + | 0.136668i | ||||
\(120\) | −0.309017 | + | 0.951057i | −0.0282093 | + | 0.0868192i | ||||
\(121\) | −9.06755 | + | 4.03713i | −0.824322 | + | 0.367012i | ||||
\(122\) | −5.73772 | + | 4.16870i | −0.519469 | + | 0.377416i | ||||
\(123\) | 3.75843 | 0.338886 | ||||||||
\(124\) | 4.61814 | − | 3.11010i | 0.414722 | − | 0.279295i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −1.18300 | + | 0.859497i | −0.105390 | + | 0.0765701i | ||||
\(127\) | −4.36548 | + | 1.94364i | −0.387374 | + | 0.172470i | −0.591177 | − | 0.806542i | \(-0.701337\pi\) |
0.203803 | + | 0.979012i | \(0.434670\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.955095 | − | 1.65427i | −0.0840914 | − | 0.145651i | ||||
\(130\) | 1.15671 | − | 2.00349i | 0.101450 | − | 0.175717i | ||||
\(131\) | −5.48301 | − | 6.08950i | −0.479053 | − | 0.532042i | 0.454373 | − | 0.890811i | \(-0.349863\pi\) |
−0.933426 | + | 0.358769i | \(0.883197\pi\) | |||||||
\(132\) | −0.320296 | − | 0.985771i | −0.0278782 | − | 0.0858003i | ||||
\(133\) | −6.74169 | + | 7.48741i | −0.584579 | + | 0.649240i | ||||
\(134\) | −6.41620 | − | 2.85668i | −0.554275 | − | 0.246779i | ||||
\(135\) | 0.978148 | − | 0.207912i | 0.0841855 | − | 0.0178942i | ||||
\(136\) | 0.123060 | + | 1.17084i | 0.0105523 | + | 0.100399i | ||||
\(137\) | 0.000119774 | − | 0.00113958i | 1.02330e−5 | − | 9.73605e-5i | −0.994517 | − | 0.104577i | \(-0.966651\pi\) |
0.994527 | + | 0.104480i | \(0.0333178\pi\) | |||||||
\(138\) | 5.14132 | + | 1.09282i | 0.437658 | + | 0.0930271i | ||||
\(139\) | 10.6351 | + | 7.72689i | 0.902061 | + | 0.655386i | 0.938995 | − | 0.343932i | \(-0.111759\pi\) |
−0.0369332 | + | 0.999318i | \(0.511759\pi\) | |||||||
\(140\) | 1.18300 | + | 0.859497i | 0.0999815 | + | 0.0726408i | ||||
\(141\) | −0.453202 | − | 0.0963310i | −0.0381665 | − | 0.00811253i | ||||
\(142\) | −1.69349 | + | 16.1125i | −0.142114 | + | 1.35213i | ||||
\(143\) | 0.250646 | + | 2.38473i | 0.0209600 | + | 0.199421i | ||||
\(144\) | −0.978148 | + | 0.207912i | −0.0815123 | + | 0.0173260i | ||||
\(145\) | 2.91365 | + | 1.29724i | 0.241966 | + | 0.107730i | ||||
\(146\) | −6.87092 | + | 7.63093i | −0.568641 | + | 0.631540i | ||||
\(147\) | −1.50237 | − | 4.62383i | −0.123914 | − | 0.381367i | ||||
\(148\) | 4.97738 | + | 5.52795i | 0.409138 | + | 0.454394i | ||||
\(149\) | 6.91077 | − | 11.9698i | 0.566153 | − | 0.980605i | −0.430789 | − | 0.902453i | \(-0.641765\pi\) |
0.996941 | − | 0.0781522i | \(-0.0249020\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 6.17926 | − | 19.0178i | 0.502861 | − | 1.54765i | −0.301477 | − | 0.953474i | \(-0.597480\pi\) |
0.804337 | − | 0.594173i | \(-0.202520\pi\) | |||||||
\(152\) | −6.29451 | + | 2.80250i | −0.510553 | + | 0.227313i | ||||
\(153\) | 0.952448 | − | 0.691994i | 0.0770008 | − | 0.0559444i | ||||
\(154\) | −1.51564 | −0.122134 | ||||||||
\(155\) | −0.778885 | + | 5.51302i | −0.0625616 | + | 0.442816i | ||||
\(156\) | 2.31343 | 0.185222 | ||||||||
\(157\) | −9.03377 | + | 6.56342i | −0.720973 | + | 0.523818i | −0.886695 | − | 0.462355i | \(-0.847005\pi\) |
0.165722 | + | 0.986173i | \(0.447005\pi\) | |||||||
\(158\) | −3.55381 | + | 1.58226i | −0.282726 | + | 0.125878i | ||||
\(159\) | −1.36186 | + | 4.19139i | −0.108003 | + | 0.332399i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 3.84296 | − | 6.65620i | 0.302868 | − | 0.524582i | ||||
\(162\) | 0.669131 | + | 0.743145i | 0.0525719 | + | 0.0583870i | ||||
\(163\) | −3.76598 | − | 11.5905i | −0.294974 | − | 0.907837i | −0.983230 | − | 0.182369i | \(-0.941623\pi\) |
0.688256 | − | 0.725468i | \(-0.258377\pi\) | |||||||
\(164\) | 2.51488 | − | 2.79306i | 0.196379 | − | 0.218101i | ||||
\(165\) | 0.946891 | + | 0.421583i | 0.0737153 | + | 0.0328202i | ||||
\(166\) | −6.12926 | + | 1.30281i | −0.475723 | + | 0.101118i | ||||
\(167\) | −0.0984623 | − | 0.936806i | −0.00761924 | − | 0.0724922i | 0.990052 | − | 0.140705i | \(-0.0449370\pi\) |
−0.997671 | + | 0.0682129i | \(0.978270\pi\) | |||||||
\(168\) | −0.152848 | + | 1.45425i | −0.0117925 | + | 0.112198i | ||||
\(169\) | 7.48093 | + | 1.59012i | 0.575456 | + | 0.122317i | ||||
\(170\) | −0.952448 | − | 0.691994i | −0.0730494 | − | 0.0530735i | ||||
\(171\) | 5.57429 | + | 4.04996i | 0.426277 | + | 0.309708i | ||||
\(172\) | −1.86845 | − | 0.397151i | −0.142468 | − | 0.0302825i | ||||
\(173\) | 0.579226 | − | 5.51097i | 0.0440378 | − | 0.418991i | −0.950188 | − | 0.311679i | \(-0.899109\pi\) |
0.994225 | − | 0.107313i | \(-0.0342246\pi\) | |||||||
\(174\) | 0.333382 | + | 3.17192i | 0.0252736 | + | 0.240463i | ||||
\(175\) | −1.43031 | + | 0.304022i | −0.108121 | + | 0.0229819i | ||||
\(176\) | −0.946891 | − | 0.421583i | −0.0713746 | − | 0.0317780i | ||||
\(177\) | −4.87216 | + | 5.41109i | −0.366214 | + | 0.406722i | ||||
\(178\) | −2.27442 | − | 6.99995i | −0.170475 | − | 0.524668i | ||||
\(179\) | −7.35727 | − | 8.17108i | −0.549908 | − | 0.610735i | 0.402552 | − | 0.915397i | \(-0.368123\pi\) |
−0.952461 | + | 0.304662i | \(0.901457\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | −3.71130 | − | 6.42817i | −0.275859 | − | 0.477802i | 0.694492 | − | 0.719500i | \(-0.255629\pi\) |
−0.970351 | + | 0.241698i | \(0.922296\pi\) | |||||||
\(182\) | 1.04536 | − | 3.21727i | 0.0774869 | − | 0.238480i | ||||
\(183\) | 6.47906 | − | 2.88466i | 0.478946 | − | 0.213240i | ||||
\(184\) | 4.25234 | − | 3.08950i | 0.313487 | − | 0.227761i | ||||
\(185\) | −7.43858 | −0.546896 | ||||||||
\(186\) | −5.16385 | + | 2.08197i | −0.378632 | + | 0.152658i | ||||
\(187\) | 1.22026 | 0.0892344 | ||||||||
\(188\) | −0.374839 | + | 0.272336i | −0.0273379 | + | 0.0198622i | ||||
\(189\) | 1.33584 | − | 0.594756i | 0.0971684 | − | 0.0432622i | ||||
\(190\) | 2.12919 | − | 6.55297i | 0.154468 | − | 0.475403i | ||||
\(191\) | −1.69842 | − | 2.94175i | −0.122893 | − | 0.212857i | 0.798014 | − | 0.602639i | \(-0.205884\pi\) |
−0.920907 | + | 0.389781i | \(0.872551\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −12.2848 | − | 13.6437i | −0.884281 | − | 0.982093i | 0.115657 | − | 0.993289i | \(-0.463103\pi\) |
−0.999937 | + | 0.0111961i | \(0.996436\pi\) | |||||||
\(194\) | −4.37633 | − | 13.4690i | −0.314202 | − | 0.967015i | ||||
\(195\) | −1.54798 | + | 1.71921i | −0.110853 | + | 0.123115i | ||||
\(196\) | −4.44146 | − | 1.97747i | −0.317247 | − | 0.141248i | ||||
\(197\) | −17.4221 | + | 3.70318i | −1.24127 | + | 0.263840i | −0.781335 | − | 0.624111i | \(-0.785461\pi\) |
−0.459936 | + | 0.887952i | \(0.652128\pi\) | |||||||
\(198\) | 0.108344 | + | 1.03082i | 0.00769966 | + | 0.0732574i | ||||
\(199\) | 1.53343 | − | 14.5896i | 0.108702 | − | 1.03423i | −0.795159 | − | 0.606401i | \(-0.792613\pi\) |
0.903861 | − | 0.427826i | \(-0.140721\pi\) | |||||||
\(200\) | −0.978148 | − | 0.207912i | −0.0691655 | − | 0.0147016i | ||||
\(201\) | 5.68205 | + | 4.12825i | 0.400781 | + | 0.291185i | ||||
\(202\) | 3.11402 | + | 2.26247i | 0.219102 | + | 0.159187i | ||||
\(203\) | 4.56182 | + | 0.969645i | 0.320177 | + | 0.0680557i | ||||
\(204\) | 0.123060 | − | 1.17084i | 0.00861595 | − | 0.0819752i | ||||
\(205\) | 0.392863 | + | 3.73784i | 0.0274387 | + | 0.261062i | ||||
\(206\) | 5.25761 | − | 1.11754i | 0.366315 | − | 0.0778627i | ||||
\(207\) | −4.80176 | − | 2.13788i | −0.333745 | − | 0.148593i | ||||
\(208\) | 1.54798 | − | 1.71921i | 0.107333 | − | 0.119206i | ||||
\(209\) | 2.20691 | + | 6.79216i | 0.152655 | + | 0.469824i | ||||
\(210\) | −0.978446 | − | 1.08667i | −0.0675192 | − | 0.0749876i | ||||
\(211\) | 10.6591 | − | 18.4621i | 0.733803 | − | 1.27098i | −0.221444 | − | 0.975173i | \(-0.571077\pi\) |
0.955247 | − | 0.295810i | \(-0.0955897\pi\) | |||||||
\(212\) | 2.20354 | + | 3.81665i | 0.151340 | + | 0.262128i | ||||
\(213\) | 5.00645 | − | 15.4083i | 0.343036 | − | 1.05576i | ||||
\(214\) | 11.1395 | − | 4.95963i | 0.761481 | − | 0.339033i | ||||
\(215\) | 1.54538 | − | 1.12278i | 0.105394 | − | 0.0765731i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 0.562030 | + | 8.12212i | 0.0381531 | + | 0.551365i | ||||
\(218\) | 2.79826 | 0.189522 | ||||||||
\(219\) | 8.30733 | − | 6.03563i | 0.561357 | − | 0.407850i | ||||
\(220\) | 0.946891 | − | 0.421583i | 0.0638394 | − | 0.0284231i | ||||
\(221\) | −0.841631 | + | 2.59027i | −0.0566142 | + | 0.174241i | ||||
\(222\) | −3.71929 | − | 6.44200i | −0.249623 | − | 0.432359i | ||||
\(223\) | 2.12146 | − | 3.67447i | 0.142063 | − | 0.246061i | −0.786210 | − | 0.617959i | \(-0.787960\pi\) |
0.928273 | + | 0.371898i | \(0.121293\pi\) | |||||||
\(224\) | 0.978446 | + | 1.08667i | 0.0653752 | + | 0.0726065i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | −0.0774747 | + | 0.0860443i | −0.00515354 | + | 0.00572358i | ||||
\(227\) | −4.25352 | − | 1.89379i | −0.282316 | − | 0.125695i | 0.260694 | − | 0.965422i | \(-0.416049\pi\) |
−0.543010 | + | 0.839726i | \(0.682715\pi\) | |||||||
\(228\) | 6.73964 | − | 1.43255i | 0.446343 | − | 0.0948732i | ||||
\(229\) | 1.28059 | + | 12.1840i | 0.0846237 | + | 0.805141i | 0.951713 | + | 0.306989i | \(0.0993214\pi\) |
−0.867089 | + | 0.498152i | \(0.834012\pi\) | |||||||
\(230\) | −0.549420 | + | 5.22738i | −0.0362277 | + | 0.344684i | ||||
\(231\) | 1.48252 | + | 0.315119i | 0.0975425 | + | 0.0207333i | ||||
\(232\) | 2.58027 | + | 1.87468i | 0.169403 | + | 0.123079i | ||||
\(233\) | −14.7408 | − | 10.7098i | −0.965700 | − | 0.701622i | −0.0112323 | − | 0.999937i | \(-0.503575\pi\) |
−0.954467 | + | 0.298315i | \(0.903575\pi\) | |||||||
\(234\) | −2.26287 | − | 0.480988i | −0.147929 | − | 0.0314432i | ||||
\(235\) | 0.0484308 | − | 0.460788i | 0.00315928 | − | 0.0300585i | ||||
\(236\) | 0.761107 | + | 7.24145i | 0.0495438 | + | 0.471378i | ||||
\(237\) | 3.80512 | − | 0.808803i | 0.247169 | − | 0.0525374i | ||||
\(238\) | −1.57268 | − | 0.700201i | −0.101941 | − | 0.0453873i | ||||
\(239\) | 19.0318 | − | 21.1370i | 1.23107 | − | 1.36724i | 0.324109 | − | 0.946020i | \(-0.394936\pi\) |
0.906959 | − | 0.421219i | \(-0.138398\pi\) | |||||||
\(240\) | −0.309017 | − | 0.951057i | −0.0199470 | − | 0.0613904i | ||||
\(241\) | −9.41005 | − | 10.4509i | −0.606154 | − | 0.673203i | 0.359466 | − | 0.933158i | \(-0.382959\pi\) |
−0.965621 | + | 0.259956i | \(0.916292\pi\) | |||||||
\(242\) | 4.96283 | − | 8.59588i | 0.319023 | − | 0.552564i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 2.19161 | − | 6.74509i | 0.140304 | − | 0.431810i | ||||
\(245\) | 4.44146 | − | 1.97747i | 0.283754 | − | 0.126336i | ||||
\(246\) | −3.04063 | + | 2.20915i | −0.193864 | + | 0.140850i | ||||
\(247\) | −15.9400 | −1.01424 | ||||||||
\(248\) | −1.90808 | + | 5.23060i | −0.121164 | + | 0.332144i | ||||
\(249\) | 6.26619 | 0.397104 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | 3.77380 | − | 1.68020i | 0.238200 | − | 0.106054i | −0.284165 | − | 0.958775i | \(-0.591716\pi\) |
0.522365 | + | 0.852722i | \(0.325050\pi\) | |||||||
\(252\) | 0.451864 | − | 1.39070i | 0.0284648 | − | 0.0876056i | ||||
\(253\) | −2.72402 | − | 4.71814i | −0.171257 | − | 0.296627i | ||||
\(254\) | 2.38931 | − | 4.13840i | 0.149919 | − | 0.259667i | ||||
\(255\) | 0.787761 | + | 0.874897i | 0.0493315 | + | 0.0547882i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 8.04596 | − | 8.93594i | 0.501893 | − | 0.557409i | −0.437957 | − | 0.898996i | \(-0.644298\pi\) |
0.939850 | + | 0.341587i | \(0.110964\pi\) | |||||||
\(258\) | 1.74505 | + | 0.776944i | 0.108642 | + | 0.0483704i | ||||
\(259\) | −10.6395 | + | 2.26149i | −0.661105 | + | 0.140522i | ||||
\(260\) | 0.241819 | + | 2.30075i | 0.0149970 | + | 0.142687i | ||||
\(261\) | 0.333382 | − | 3.17192i | 0.0206358 | − | 0.196337i | ||||
\(262\) | 8.01517 | + | 1.70368i | 0.495179 | + | 0.105253i | ||||
\(263\) | −16.4211 | − | 11.9306i | −1.01257 | − | 0.735674i | −0.0478226 | − | 0.998856i | \(-0.515228\pi\) |
−0.964746 | + | 0.263181i | \(0.915228\pi\) | |||||||
\(264\) | 0.838547 | + | 0.609240i | 0.0516090 | + | 0.0374961i | ||||
\(265\) | −4.31078 | − | 0.916285i | −0.264809 | − | 0.0562869i | ||||
\(266\) | 1.05316 | − | 10.0201i | 0.0645731 | − | 0.614372i | ||||
\(267\) | 0.769348 | + | 7.31986i | 0.0470834 | + | 0.447968i | ||||
\(268\) | 6.86993 | − | 1.46025i | 0.419648 | − | 0.0891989i | ||||
\(269\) | −7.58179 | − | 3.37563i | −0.462270 | − | 0.205816i | 0.162368 | − | 0.986730i | \(-0.448087\pi\) |
−0.624638 | + | 0.780914i | \(0.714754\pi\) | |||||||
\(270\) | −0.669131 | + | 0.743145i | −0.0407220 | + | 0.0452264i | ||||
\(271\) | −5.71392 | − | 17.5856i | −0.347096 | − | 1.06825i | −0.960452 | − | 0.278445i | \(-0.910181\pi\) |
0.613356 | − | 0.789807i | \(-0.289819\pi\) | |||||||
\(272\) | −0.787761 | − | 0.874897i | −0.0477650 | − | 0.0530484i | ||||
\(273\) | −1.69142 | + | 2.92963i | −0.102369 | + | 0.177309i | ||||
\(274\) | 0.000572926 | 0 | 0.000992337i | 3.46117e−5 | 0 | 5.99493e-5i | ||||
\(275\) | −0.320296 | + | 0.985771i | −0.0193146 | + | 0.0594442i | ||||
\(276\) | −4.80176 | + | 2.13788i | −0.289032 | + | 0.128685i | ||||
\(277\) | 7.94071 | − | 5.76926i | 0.477111 | − | 0.346641i | −0.323095 | − | 0.946366i | \(-0.604723\pi\) |
0.800206 | + | 0.599725i | \(0.204723\pi\) | |||||||
\(278\) | −13.1458 | −0.788431 | ||||||||
\(279\) | 5.48388 | − | 0.962852i | 0.328311 | − | 0.0576444i | ||||
\(280\) | −1.46226 | −0.0873870 | ||||||||
\(281\) | −13.9725 | + | 10.1516i | −0.833530 | + | 0.605595i | −0.920556 | − | 0.390611i | \(-0.872264\pi\) |
0.0870255 | + | 0.996206i | \(0.472264\pi\) | |||||||
\(282\) | 0.423270 | − | 0.188452i | 0.0252054 | − | 0.0112221i | ||||
\(283\) | −3.15294 | + | 9.70374i | −0.187423 | + | 0.576828i | −0.999982 | − | 0.00605132i | \(-0.998074\pi\) |
0.812559 | + | 0.582879i | \(0.198074\pi\) | |||||||
\(284\) | −8.10061 | − | 14.0307i | −0.480683 | − | 0.832567i | ||||
\(285\) | −3.44510 | + | 5.96709i | −0.204070 | + | 0.353460i | ||||
\(286\) | −1.60449 | − | 1.78196i | −0.0948753 | − | 0.105370i | ||||
\(287\) | 1.69830 | + | 5.22683i | 0.100247 | + | 0.308530i | ||||
\(288\) | 0.669131 | − | 0.743145i | 0.0394289 | − | 0.0437902i | ||||
\(289\) | −14.2641 | − | 6.35078i | −0.839064 | − | 0.373575i | ||||
\(290\) | −3.11970 | + | 0.663112i | −0.183195 | + | 0.0389393i | ||||
\(291\) | 1.48034 | + | 14.0845i | 0.0867792 | + | 0.825649i | ||||
\(292\) | 1.07334 | − | 10.2122i | 0.0628126 | − | 0.597622i | ||||
\(293\) | 14.9610 | + | 3.18007i | 0.874033 | + | 0.185782i | 0.623024 | − | 0.782203i | \(-0.285904\pi\) |
0.251010 | + | 0.967985i | \(0.419237\pi\) | |||||||
\(294\) | 3.93327 | + | 2.85768i | 0.229393 | + | 0.166664i | ||||
\(295\) | −5.89072 | − | 4.27986i | −0.342971 | − | 0.249183i | ||||
\(296\) | −7.27603 | − | 1.54657i | −0.422911 | − | 0.0898925i | ||||
\(297\) | 0.108344 | − | 1.03082i | 0.00628675 | − | 0.0598144i | ||||
\(298\) | 1.44474 | + | 13.7458i | 0.0836918 | + | 0.796275i | ||||
\(299\) | 11.8941 | − | 2.52816i | 0.687851 | − | 0.146207i | ||||
\(300\) | 0.913545 | + | 0.406737i | 0.0527436 | + | 0.0234830i | ||||
\(301\) | 1.86902 | − | 2.07575i | 0.107728 | − | 0.119644i | ||||
\(302\) | 6.17926 | + | 19.0178i | 0.355576 | + | 1.09435i | ||||
\(303\) | −2.57558 | − | 2.86047i | −0.147963 | − | 0.164330i | ||||
\(304\) | 3.44510 | − | 5.96709i | 0.197590 | − | 0.342236i | ||||
\(305\) | 3.54611 | + | 6.14203i | 0.203049 | + | 0.351692i | ||||
\(306\) | −0.363803 | + | 1.11967i | −0.0207972 | + | 0.0640072i | ||||
\(307\) | −23.2496 | + | 10.3514i | −1.32692 | + | 0.590784i | −0.943065 | − | 0.332608i | \(-0.892072\pi\) |
−0.383858 | + | 0.923392i | \(0.625405\pi\) | |||||||
\(308\) | 1.22618 | − | 0.890870i | 0.0698679 | − | 0.0507620i | ||||
\(309\) | −5.37507 | −0.305777 | ||||||||
\(310\) | −2.61034 | − | 4.91794i | −0.148257 | − | 0.279320i | ||||
\(311\) | 16.8818 | 0.957278 | 0.478639 | − | 0.878012i | \(-0.341130\pi\) | ||||
0.478639 | + | 0.878012i | \(0.341130\pi\) | |||||||
\(312\) | −1.87160 | + | 1.35980i | −0.105959 | + | 0.0769834i | ||||
\(313\) | 10.4031 | − | 4.63174i | 0.588016 | − | 0.261801i | −0.0910892 | − | 0.995843i | \(-0.529035\pi\) |
0.679105 | + | 0.734041i | \(0.262368\pi\) | |||||||
\(314\) | 3.45059 | − | 10.6198i | 0.194728 | − | 0.599312i | ||||
\(315\) | 0.731132 | + | 1.26636i | 0.0411946 | + | 0.0713512i | ||||
\(316\) | 1.94506 | − | 3.36895i | 0.109418 | − | 0.189518i | ||||
\(317\) | −13.1651 | − | 14.6213i | −0.739426 | − | 0.821216i | 0.249694 | − | 0.968325i | \(-0.419670\pi\) |
−0.989120 | + | 0.147109i | \(0.953003\pi\) | |||||||
\(318\) | −1.36186 | − | 4.19139i | −0.0763696 | − | 0.235041i | ||||
\(319\) | 2.21202 | − | 2.45669i | 0.123849 | − | 0.137548i | ||||
\(320\) | −0.913545 | − | 0.406737i | −0.0510687 | − | 0.0227373i | ||||
\(321\) | −11.9272 | + | 2.53522i | −0.665714 | + | 0.141502i | ||||
\(322\) | 0.803398 | + | 7.64382i | 0.0447716 | + | 0.425973i | ||||
\(323\) | −0.847911 | + | 8.06733i | −0.0471790 | + | 0.448878i | ||||
\(324\) | −0.978148 | − | 0.207912i | −0.0543415 | − | 0.0115506i | ||||
\(325\) | −1.87160 | − | 1.35980i | −0.103818 | − | 0.0754280i | ||||
\(326\) | 9.85946 | + | 7.16332i | 0.546065 | + | 0.396740i | ||||
\(327\) | −2.73711 | − | 0.581791i | −0.151363 | − | 0.0321731i | ||||
\(328\) | −0.392863 | + | 3.73784i | −0.0216922 | + | 0.206388i | ||||
\(329\) | −0.0708186 | − | 0.673794i | −0.00390436 | − | 0.0371475i | ||||
\(330\) | −1.01385 | + | 0.215501i | −0.0558107 | + | 0.0118629i | ||||
\(331\) | −0.401605 | − | 0.178806i | −0.0220742 | − | 0.00982808i | 0.395670 | − | 0.918393i | \(-0.370512\pi\) |
−0.417744 | + | 0.908565i | \(0.637179\pi\) | |||||||
\(332\) | 4.19290 | − | 4.65669i | 0.230115 | − | 0.255569i | ||||
\(333\) | 2.29865 | + | 7.07451i | 0.125965 | + | 0.387681i | ||||
\(334\) | 0.630299 | + | 0.700017i | 0.0344884 | + | 0.0383033i | ||||
\(335\) | −3.51170 | + | 6.08245i | −0.191865 | + | 0.332320i | ||||
\(336\) | −0.731132 | − | 1.26636i | −0.0398865 | − | 0.0690855i | ||||
\(337\) | −8.56716 | + | 26.3670i | −0.466683 | + | 1.43630i | 0.390171 | + | 0.920743i | \(0.372416\pi\) |
−0.856854 | + | 0.515560i | \(0.827584\pi\) | |||||||
\(338\) | −6.98685 | + | 3.11074i | −0.380034 | + | 0.169202i | ||||
\(339\) | 0.0936713 | − | 0.0680562i | 0.00508753 | − | 0.00369630i | ||||
\(340\) | 1.17729 | 0.0638475 | ||||||||
\(341\) | 5.18510 | + | 2.53360i | 0.280789 | + | 0.137202i | ||||
\(342\) | −6.89020 | −0.372580 | ||||||||
\(343\) | 14.0324 | − | 10.1952i | 0.757681 | − | 0.550487i | ||||
\(344\) | 1.74505 | − | 0.776944i | 0.0940865 | − | 0.0418900i | ||||
\(345\) | 1.62425 | − | 4.99892i | 0.0874466 | − | 0.269133i | ||||
\(346\) | 2.77066 | + | 4.79893i | 0.148952 | + | 0.257992i | ||||
\(347\) | 11.6978 | − | 20.2613i | 0.627973 | − | 1.08768i | −0.359985 | − | 0.932958i | \(-0.617218\pi\) |
0.987958 | − | 0.154723i | \(-0.0494486\pi\) | |||||||
\(348\) | −2.13412 | − | 2.37018i | −0.114401 | − | 0.127055i | ||||
\(349\) | −3.19091 | − | 9.82062i | −0.170806 | − | 0.525686i | 0.828611 | − | 0.559824i | \(-0.189131\pi\) |
−0.999417 | + | 0.0341383i | \(0.989131\pi\) | |||||||
\(350\) | 0.978446 | − | 1.08667i | 0.0523001 | − | 0.0580852i | ||||
\(351\) | 2.11342 | + | 0.940955i | 0.112806 | + | 0.0502245i | ||||
\(352\) | 1.01385 | − | 0.215501i | 0.0540384 | − | 0.0114862i | ||||
\(353\) | 2.01965 | + | 19.2157i | 0.107495 | + | 1.02275i | 0.906725 | + | 0.421722i | \(0.138574\pi\) |
−0.799230 | + | 0.601025i | \(0.794759\pi\) | |||||||
\(354\) | 0.761107 | − | 7.24145i | 0.0404524 | − | 0.384879i | ||||
\(355\) | 15.8472 | + | 3.36842i | 0.841081 | + | 0.178777i | ||||
\(356\) | 5.95451 | + | 4.32621i | 0.315588 | + | 0.229288i | ||||
\(357\) | 1.39273 | + | 1.01188i | 0.0737111 | + | 0.0535542i | ||||
\(358\) | 10.7550 | + | 2.28605i | 0.568419 | + | 0.120821i | ||||
\(359\) | −1.83693 | + | 17.4772i | −0.0969494 | + | 0.922412i | 0.832640 | + | 0.553815i | \(0.186828\pi\) |
−0.929589 | + | 0.368597i | \(0.879838\pi\) | |||||||
\(360\) | 0.104528 | + | 0.994522i | 0.00550913 | + | 0.0524159i | ||||
\(361\) | −27.8527 | + | 5.92027i | −1.46593 | + | 0.311593i | ||||
\(362\) | 6.78089 | + | 3.01905i | 0.356396 | + | 0.158678i | ||||
\(363\) | −6.64157 | + | 7.37621i | −0.348592 | + | 0.387150i | ||||
\(364\) | 1.04536 | + | 3.21727i | 0.0547915 | + | 0.168631i | ||||
\(365\) | 6.87092 | + | 7.63093i | 0.359640 | + | 0.399421i | ||||
\(366\) | −3.54611 | + | 6.14203i | −0.185358 | + | 0.321049i | ||||
\(367\) | −8.08680 | − | 14.0067i | −0.422127 | − | 0.731146i | 0.574020 | − | 0.818841i | \(-0.305383\pi\) |
−0.996147 | + | 0.0876953i | \(0.972050\pi\) | |||||||
\(368\) | −1.62425 | + | 4.99892i | −0.0846698 | + | 0.260587i | ||||
\(369\) | 3.43349 | − | 1.52869i | 0.178741 | − | 0.0795804i | ||||
\(370\) | 6.01794 | − | 4.37229i | 0.312858 | − | 0.227305i | ||||
\(371\) | −6.44432 | −0.334573 | ||||||||
\(372\) | 2.95389 | − | 4.71959i | 0.153152 | − | 0.244699i | ||||
\(373\) | 15.0695 | 0.780270 | 0.390135 | − | 0.920758i | \(-0.372428\pi\) | ||||
0.390135 | + | 0.920758i | \(0.372428\pi\) | |||||||
\(374\) | −0.987213 | + | 0.717252i | −0.0510476 | + | 0.0370882i | ||||
\(375\) | −0.913545 | + | 0.406737i | −0.0471753 | + | 0.0210038i | ||||
\(376\) | 0.143176 | − | 0.440650i | 0.00738373 | − | 0.0227248i | ||||
\(377\) | 3.68921 | + | 6.38990i | 0.190004 | + | 0.329097i | ||||
\(378\) | −0.731132 | + | 1.26636i | −0.0376054 | + | 0.0651344i | ||||
\(379\) | −6.45485 | − | 7.16883i | −0.331563 | − | 0.368238i | 0.554194 | − | 0.832388i | \(-0.313027\pi\) |
−0.885757 | + | 0.464150i | \(0.846360\pi\) | |||||||
\(380\) | 2.12919 | + | 6.55297i | 0.109225 | + | 0.336160i | ||||
\(381\) | −3.19752 | + | 3.55121i | −0.163814 | + | 0.181934i | ||||
\(382\) | 3.10316 | + | 1.38162i | 0.158772 | + | 0.0706897i | ||||
\(383\) | 19.1440 | − | 4.06918i | 0.978213 | − | 0.207926i | 0.309054 | − | 0.951045i | \(-0.399988\pi\) |
0.669159 | + | 0.743119i | \(0.266654\pi\) | |||||||
\(384\) | −0.104528 | − | 0.994522i | −0.00533420 | − | 0.0507515i | ||||
\(385\) | −0.158427 | + | 1.50734i | −0.00807420 | + | 0.0768209i | ||||
\(386\) | 17.9582 | + | 3.81713i | 0.914047 | + | 0.194287i | ||||
\(387\) | −1.54538 | − | 1.12278i | −0.0785559 | − | 0.0570742i | ||||
\(388\) | 11.4574 | + | 8.32428i | 0.581661 | + | 0.422601i | ||||
\(389\) | 6.64056 | + | 1.41150i | 0.336690 | + | 0.0715657i | 0.373154 | − | 0.927769i | \(-0.378276\pi\) |
−0.0364643 | + | 0.999335i | \(0.511610\pi\) | |||||||
\(390\) | 0.241819 | − | 2.30075i | 0.0122450 | − | 0.116503i | ||||
\(391\) | −0.646827 | − | 6.15415i | −0.0327114 | − | 0.311229i | ||||
\(392\) | 4.75554 | − | 1.01082i | 0.240191 | − | 0.0510542i | ||||
\(393\) | −7.48580 | − | 3.33289i | −0.377609 | − | 0.168122i | ||||
\(394\) | 11.9181 | − | 13.2364i | 0.600424 | − | 0.666839i | ||||
\(395\) | 1.20212 | + | 3.69973i | 0.0604850 | + | 0.186154i | ||||
\(396\) | −0.693554 | − | 0.770270i | −0.0348524 | − | 0.0387075i | ||||
\(397\) | −0.231824 | + | 0.401532i | −0.0116349 | + | 0.0201523i | −0.871784 | − | 0.489890i | \(-0.837037\pi\) |
0.860149 | + | 0.510042i | \(0.170370\pi\) | |||||||
\(398\) | 7.33497 | + | 12.7045i | 0.367669 | + | 0.636821i | ||||
\(399\) | −3.11344 | + | 9.58218i | −0.155867 | + | 0.479709i | ||||
\(400\) | 0.913545 | − | 0.406737i | 0.0456773 | − | 0.0203368i | ||||
\(401\) | −25.6147 | + | 18.6102i | −1.27914 | + | 0.929349i | −0.999527 | − | 0.0307636i | \(-0.990206\pi\) |
−0.279613 | + | 0.960113i | \(0.590206\pi\) | |||||||
\(402\) | −7.02341 | −0.350296 | ||||||||
\(403\) | −8.95435 | + | 9.25904i | −0.446048 | + | 0.461226i | ||||
\(404\) | −3.84914 | −0.191502 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | −4.26053 | + | 1.89691i | −0.211447 | + | 0.0941421i | ||||
\(407\) | −2.38255 | + | 7.33274i | −0.118099 | + | 0.363470i | ||||
\(408\) | 0.588645 | + | 1.01956i | 0.0291423 | + | 0.0504759i | ||||
\(409\) | −17.5417 | + | 30.3831i | −0.867381 | + | 1.50235i | −0.00271782 | + | 0.999996i | \(0.500865\pi\) |
−0.864663 | + | 0.502352i | \(0.832468\pi\) | |||||||
\(410\) | −2.51488 | − | 2.79306i | −0.124201 | − | 0.137939i | ||||
\(411\) | −0.000354088 | − | 0.00108977i | −1.74659e−5 | − | 5.37544e-5i | ||||
\(412\) | −3.59662 | + | 3.99446i | −0.177193 | + | 0.196793i | ||||
\(413\) | −9.72673 | − | 4.33062i | −0.478621 | − | 0.213096i | ||||
\(414\) | 5.14132 | − | 1.09282i | 0.252682 | − | 0.0537092i | ||||
\(415\) | 0.654996 | + | 6.23187i | 0.0321525 | + | 0.305910i | ||||
\(416\) | −0.241819 | + | 2.30075i | −0.0118561 | + | 0.112804i | ||||
\(417\) | 12.8585 | + | 2.73316i | 0.629683 | + | 0.133843i | ||||
\(418\) | −5.77776 | − | 4.19779i | −0.282599 | − | 0.205320i | ||||
\(419\) | 19.6819 | + | 14.2997i | 0.961524 | + | 0.698588i | 0.953504 | − | 0.301380i | \(-0.0974473\pi\) |
0.00801952 | + | 0.999968i | \(0.497447\pi\) | |||||||
\(420\) | 1.43031 | + | 0.304022i | 0.0697920 | + | 0.0148347i | ||||
\(421\) | −0.760126 | + | 7.23212i | −0.0370463 | + | 0.352472i | 0.960259 | + | 0.279110i | \(0.0900394\pi\) |
−0.997305 | + | 0.0733617i | \(0.976627\pi\) | |||||||
\(422\) | 2.22836 | + | 21.2014i | 0.108475 | + | 1.03207i | ||||
\(423\) | −0.453202 | + | 0.0963310i | −0.0220354 | + | 0.00468377i | ||||
\(424\) | −4.02607 | − | 1.79252i | −0.195523 | − | 0.0870526i | ||||
\(425\) | −0.787761 | + | 0.874897i | −0.0382120 | + | 0.0424387i | ||||
\(426\) | 5.00645 | + | 15.4083i | 0.242563 | + | 0.746533i | ||||
\(427\) | 6.93934 | + | 7.70692i | 0.335818 | + | 0.372964i | ||||
\(428\) | −6.09686 | + | 10.5601i | −0.294703 | + | 0.510440i | ||||
\(429\) | 1.19893 | + | 2.07662i | 0.0578851 | + | 0.100260i | ||||
\(430\) | −0.590281 | + | 1.81670i | −0.0284659 | + | 0.0876090i | ||||
\(431\) | −19.5641 | + | 8.71051i | −0.942370 | + | 0.419570i | −0.819646 | − | 0.572870i | \(-0.805830\pi\) |
−0.122724 | + | 0.992441i | \(0.539163\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | −33.9025 | −1.62925 | −0.814626 | − | 0.579986i | \(-0.803058\pi\) | ||||
−0.814626 | + | 0.579986i | \(0.803058\pi\) | |||||||
\(434\) | −5.22875 | − | 6.24058i | −0.250988 | − | 0.299557i | ||||
\(435\) | 3.18939 | 0.152920 | ||||||||
\(436\) | −2.26384 | + | 1.64478i | −0.108418 | + | 0.0787705i | ||||
\(437\) | 33.0851 | − | 14.7304i | 1.58267 | − | 0.704652i | ||||
\(438\) | −3.17312 | + | 9.76585i | −0.151617 | + | 0.466630i | ||||
\(439\) | −0.470443 | − | 0.814832i | −0.0224530 | − | 0.0388898i | 0.854581 | − | 0.519319i | \(-0.173814\pi\) |
−0.877034 | + | 0.480429i | \(0.840481\pi\) | |||||||
\(440\) | −0.518250 | + | 0.897636i | −0.0247066 | + | 0.0427931i | ||||
\(441\) | −3.25317 | − | 3.61301i | −0.154913 | − | 0.172048i | ||||
\(442\) | −0.841631 | − | 2.59027i | −0.0400323 | − | 0.123207i | ||||
\(443\) | 3.56250 | − | 3.95656i | 0.169259 | − | 0.187982i | −0.652547 | − | 0.757748i | \(-0.726300\pi\) |
0.821807 | + | 0.569766i | \(0.192966\pi\) | |||||||
\(444\) | 6.79549 | + | 3.02554i | 0.322499 | + | 0.143586i | ||||
\(445\) | −7.19934 | + | 1.53027i | −0.341282 | + | 0.0725416i | ||||
\(446\) | 0.443505 | + | 4.21967i | 0.0210006 | + | 0.199807i | ||||
\(447\) | 1.44474 | − | 13.7458i | 0.0683341 | − | 0.650155i | ||||
\(448\) | −1.43031 | − | 0.304022i | −0.0675758 | − | 0.0143637i | ||||
\(449\) | 19.7511 | + | 14.3500i | 0.932112 | + | 0.677219i | 0.946509 | − | 0.322677i | \(-0.104583\pi\) |
−0.0143971 | + | 0.999896i | \(0.504583\pi\) | |||||||
\(450\) | −0.809017 | − | 0.587785i | −0.0381374 | − | 0.0277085i | ||||
\(451\) | 3.81048 | + | 0.809943i | 0.179429 | + | 0.0381387i | ||||
\(452\) | 0.0121027 | − | 0.115150i | 0.000569265 | − | 0.00541619i | ||||
\(453\) | −2.09020 | − | 19.8870i | −0.0982063 | − | 0.934370i | ||||
\(454\) | 4.55431 | − | 0.968048i | 0.213744 | − | 0.0454328i | ||||
\(455\) | −3.09038 | − | 1.37593i | −0.144879 | − | 0.0645044i | ||||
\(456\) | −4.61045 | + | 5.12042i | −0.215904 | + | 0.239786i | ||||
\(457\) | 6.21524 | + | 19.1286i | 0.290737 | + | 0.894796i | 0.984620 | + | 0.174709i | \(0.0558983\pi\) |
−0.693883 | + | 0.720087i | \(0.744102\pi\) | |||||||
\(458\) | −8.19759 | − | 9.10435i | −0.383048 | − | 0.425418i | ||||
\(459\) | 0.588645 | − | 1.01956i | 0.0274756 | − | 0.0475891i | ||||
\(460\) | −2.62809 | − | 4.55198i | −0.122535 | − | 0.212237i | ||||
\(461\) | −3.04689 | + | 9.37736i | −0.141908 | + | 0.436747i | −0.996600 | − | 0.0823873i | \(-0.973746\pi\) |
0.854693 | + | 0.519134i | \(0.173746\pi\) | |||||||
\(462\) | −1.38460 | + | 0.616466i | −0.0644176 | + | 0.0286806i | ||||
\(463\) | 12.8645 | − | 9.34664i | 0.597866 | − | 0.434375i | −0.247255 | − | 0.968951i | \(-0.579528\pi\) |
0.845121 | + | 0.534575i | \(0.179528\pi\) | |||||||
\(464\) | −3.18939 | −0.148064 | ||||||||
\(465\) | 1.53080 | + | 5.35319i | 0.0709891 | + | 0.248248i | ||||
\(466\) | 18.2206 | 0.844053 | ||||||||
\(467\) | 2.96796 | − | 2.15635i | 0.137341 | − | 0.0997839i | −0.516994 | − | 0.855989i | \(-0.672949\pi\) |
0.654334 | + | 0.756205i | \(0.272949\pi\) | |||||||
\(468\) | 2.11342 | − | 0.940955i | 0.0976929 | − | 0.0434957i | ||||
\(469\) | −3.17363 | + | 9.76742i | −0.146545 | + | 0.451018i | ||||
\(470\) | 0.231663 | + | 0.401253i | 0.0106858 | + | 0.0185084i | ||||
\(471\) | −5.58318 | + | 9.67034i | −0.257259 | + | 0.445586i | ||||
\(472\) | −4.87216 | − | 5.41109i | −0.224260 | − | 0.249065i | ||||
\(473\) | −0.611827 | − | 1.88301i | −0.0281318 | − | 0.0865809i | ||||
\(474\) | −2.60300 | + | 2.89093i | −0.119560 | + | 0.132785i | ||||
\(475\) | −6.29451 | − | 2.80250i | −0.288812 | − | 0.128587i | ||||
\(476\) | 1.68389 | − | 0.357922i | 0.0771810 | − | 0.0164053i | ||||
\(477\) | 0.460666 | + | 4.38294i | 0.0210924 | + | 0.200681i | ||||
\(478\) | −2.97307 | + | 28.2868i | −0.135985 | + | 1.29381i | ||||
\(479\) | 16.8905 | + | 3.59019i | 0.771747 | + | 0.164040i | 0.576923 | − | 0.816798i | \(-0.304253\pi\) |
0.194824 | + | 0.980838i | \(0.437586\pi\) | |||||||
\(480\) | 0.809017 | + | 0.587785i | 0.0369264 | + | 0.0268286i | ||||
\(481\) | −13.9221 | − | 10.1150i | −0.634792 | − | 0.461203i | ||||
\(482\) | 13.7558 | + | 2.92388i | 0.626559 | + | 0.133179i | ||||
\(483\) | 0.803398 | − | 7.64382i | 0.0365559 | − | 0.347806i | ||||
\(484\) | 1.03751 | + | 9.87129i | 0.0471598 | + | 0.448695i | ||||
\(485\) | −13.8526 | + | 2.94447i | −0.629015 | + | 0.133701i | ||||
\(486\) | 0.913545 | + | 0.406737i | 0.0414393 | + | 0.0184499i | ||||
\(487\) | −8.97286 | + | 9.96537i | −0.406599 | + | 0.451574i | −0.911314 | − | 0.411712i | \(-0.864931\pi\) |
0.504715 | + | 0.863286i | \(0.331598\pi\) | |||||||
\(488\) | 2.19161 | + | 6.74509i | 0.0992097 | + | 0.305336i | ||||
\(489\) | −8.15467 | − | 9.05668i | −0.368767 | − | 0.409557i | ||||
\(490\) | −2.43089 | + | 4.21043i | −0.109816 | + | 0.190208i | ||||
\(491\) | 13.1442 | + | 22.7664i | 0.593190 | + | 1.02743i | 0.993800 | + | 0.111186i | \(0.0354649\pi\) |
−0.400610 | + | 0.916249i | \(0.631202\pi\) | |||||||
\(492\) | 1.16142 | − | 3.57448i | 0.0523608 | − | 0.161150i | ||||
\(493\) | 3.43022 | − | 1.52723i | 0.154489 | − | 0.0687830i | ||||
\(494\) | 12.8957 | − | 9.36929i | 0.580206 | − | 0.421544i | ||||
\(495\) | 1.03650 | 0.0465872 | ||||||||
\(496\) | −1.53080 | − | 5.35319i | −0.0687349 | − | 0.240365i | ||||
\(497\) | 23.6905 | 1.06266 | ||||||||
\(498\) | −5.06946 | + | 3.68318i | −0.227168 | + | 0.165047i | ||||
\(499\) | 25.6927 | − | 11.4391i | 1.15016 | − | 0.512085i | 0.259048 | − | 0.965864i | \(-0.416591\pi\) |
0.891114 | + | 0.453779i | \(0.149924\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | −0.470983 | − | 0.815767i | −0.0210420 | − | 0.0364458i | ||||
\(502\) | −2.06547 | + | 3.57750i | −0.0921864 | + | 0.159671i | ||||
\(503\) | −16.2259 | − | 18.0207i | −0.723477 | − | 0.803502i | 0.263450 | − | 0.964673i | \(-0.415140\pi\) |
−0.986927 | + | 0.161171i | \(0.948473\pi\) | |||||||
\(504\) | 0.451864 | + | 1.39070i | 0.0201276 | + | 0.0619465i | ||||
\(505\) | 2.57558 | − | 2.86047i | 0.114612 | − | 0.127289i | ||||
\(506\) | 4.97703 | + | 2.21591i | 0.221256 | + | 0.0985094i | ||||
\(507\) | 7.48093 | − | 1.59012i | 0.332240 | − | 0.0706197i | ||||
\(508\) | 0.499502 | + | 4.75244i | 0.0221618 | + | 0.210855i | ||||
\(509\) | −3.31547 | + | 31.5446i | −0.146956 | + | 1.39819i | 0.633869 | + | 0.773440i | \(0.281466\pi\) |
−0.780825 | + | 0.624750i | \(0.785201\pi\) | |||||||
\(510\) | −1.15156 | − | 0.244772i | −0.0509921 | − | 0.0108387i | ||||
\(511\) | 12.1475 | + | 8.82568i | 0.537374 | + | 0.390425i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 6.73964 | + | 1.43255i | 0.297562 | + | 0.0632488i | ||||
\(514\) | −1.25690 | + | 11.9586i | −0.0554396 | + | 0.527472i | ||||
\(515\) | −0.561848 | − | 5.34562i | −0.0247580 | − | 0.235556i | ||||
\(516\) | −1.86845 | + | 0.397151i | −0.0822538 | + | 0.0174836i | ||||
\(517\) | −0.438720 | − | 0.195331i | −0.0192949 | − | 0.00859063i | ||||
\(518\) | 7.27825 | − | 8.08332i | 0.319788 | − | 0.355161i | ||||
\(519\) | −1.71236 | − | 5.27011i | −0.0751644 | − | 0.231332i | ||||
\(520\) | −1.54798 | − | 1.71921i | −0.0678836 | − | 0.0753924i | ||||
\(521\) | 13.5763 | − | 23.5148i | 0.594787 | − | 1.03020i | −0.398790 | − | 0.917042i | \(-0.630570\pi\) |
0.993577 | − | 0.113159i | \(-0.0360969\pi\) | |||||||
\(522\) | 1.59470 | + | 2.76209i | 0.0697979 | + | 0.120894i | ||||
\(523\) | 3.56267 | − | 10.9648i | 0.155785 | − | 0.479456i | −0.842455 | − | 0.538767i | \(-0.818890\pi\) |
0.998240 | + | 0.0593108i | \(0.0188903\pi\) | |||||||
\(524\) | −7.48580 | + | 3.33289i | −0.327019 | + | 0.145598i | ||||
\(525\) | −1.18300 | + | 0.859497i | −0.0516302 | + | 0.0375115i | ||||
\(526\) | 20.2976 | 0.885018 | ||||||||
\(527\) | 4.20975 | + | 5.02438i | 0.183379 | + | 0.218865i | ||||
\(528\) | −1.03650 | −0.0451079 | ||||||||
\(529\) | −3.74366 | + | 2.71993i | −0.162768 | + | 0.118258i | ||||
\(530\) | 4.02607 | − | 1.79252i | 0.174881 | − | 0.0778622i | ||||
\(531\) | −2.25006 | + | 6.92496i | −0.0976441 | + | 0.300518i | ||||
\(532\) | 5.03765 | + | 8.72546i | 0.218410 | + | 0.378297i | ||||
\(533\) | −4.34742 | + | 7.52996i | −0.188308 | + | 0.326159i | ||||
\(534\) | −4.92492 | − | 5.46968i | −0.213122 | − | 0.236696i | ||||
\(535\) | −3.76806 | − | 11.5969i | −0.162908 | − | 0.501378i | ||||
\(536\) | −4.69958 | + | 5.21941i | −0.202991 | + | 0.225444i | ||||
\(537\) | −10.0447 | − | 4.47218i | −0.433460 | − | 0.192989i | ||||
\(538\) | 8.11795 | − | 1.72552i | 0.349990 | − | 0.0743926i | ||||
\(539\) | −0.526744 | − | 5.01164i | −0.0226885 | − | 0.215867i | ||||
\(540\) | 0.104528 | − | 0.994522i | 0.00449819 | − | 0.0427974i | ||||
\(541\) | −38.8419 | − | 8.25610i | −1.66994 | − | 0.354957i | −0.726673 | − | 0.686984i | \(-0.758934\pi\) |
−0.943270 | + | 0.332026i | \(0.892268\pi\) | |||||||
\(542\) | 14.9592 | + | 10.8685i | 0.642555 | + | 0.466843i | ||||
\(543\) | −6.00501 | − | 4.36290i | −0.257700 | − | 0.187230i | ||||
\(544\) | 1.15156 | + | 0.244772i | 0.0493729 | + | 0.0104945i | ||||
\(545\) | 0.292498 | − | 2.78293i | 0.0125292 | − | 0.119208i | ||||
\(546\) | −0.353603 | − | 3.36431i | −0.0151328 | − | 0.143979i | ||||
\(547\) | 37.3794 | − | 7.94524i | 1.59823 | − | 0.339714i | 0.679214 | − | 0.733940i | \(-0.262321\pi\) |
0.919013 | + | 0.394226i | \(0.128987\pi\) | |||||||
\(548\) | −0.00104679 | 0.000466060i | −4.47166e−5 | 1.99091e-5i | ||||||
\(549\) | 4.74562 | − | 5.27054i | 0.202538 | − | 0.224941i | ||||
\(550\) | −0.320296 | − | 0.985771i | −0.0136575 | − | 0.0420334i | ||||
\(551\) | 14.7045 | + | 16.3310i | 0.626434 | + | 0.695725i | ||||
\(552\) | 2.62809 | − | 4.55198i | 0.111859 | − | 0.193745i | ||||
\(553\) | 2.84420 | + | 4.92630i | 0.120948 | + | 0.209487i | ||||
\(554\) | −3.03308 | + | 9.33486i | −0.128863 | + | 0.396600i | ||||
\(555\) | −6.79549 | + | 3.02554i | −0.288452 | + | 0.128427i | ||||
\(556\) | 10.6351 | − | 7.72689i | 0.451031 | − | 0.327693i | ||||
\(557\) | −10.1450 | −0.429857 | −0.214929 | − | 0.976630i | \(-0.568952\pi\) | ||||
−0.214929 | + | 0.976630i | \(0.568952\pi\) | |||||||
\(558\) | −3.87060 | + | 4.00231i | −0.163856 | + | 0.169431i | ||||
\(559\) | 4.41909 | 0.186907 | ||||||||
\(560\) | 1.18300 | − | 0.859497i | 0.0499907 | − | 0.0363204i | ||||
\(561\) | 1.11476 | − | 0.496325i | 0.0470654 | − | 0.0209549i | ||||
\(562\) | 5.33703 | − | 16.4257i | 0.225129 | − | 0.692875i | ||||
\(563\) | 7.68366 | + | 13.3085i | 0.323828 | + | 0.560886i | 0.981274 | − | 0.192615i | \(-0.0616969\pi\) |
−0.657447 | + | 0.753501i | \(0.728364\pi\) | |||||||
\(564\) | −0.231663 | + | 0.401253i | −0.00975478 | + | 0.0168958i | ||||
\(565\) | 0.0774747 | + | 0.0860443i | 0.00325938 | + | 0.00361991i | ||||
\(566\) | −3.15294 | − | 9.70374i | −0.132528 | − | 0.407879i | ||||
\(567\) | 0.978446 | − | 1.08667i | 0.0410909 | − | 0.0456360i | ||||
\(568\) | 14.8005 | + | 6.58963i | 0.621017 | + | 0.276495i | ||||
\(569\) | 9.13992 | − | 1.94275i | 0.383165 | − | 0.0814443i | −0.0123020 | − | 0.999924i | \(-0.503916\pi\) |
0.395467 | + | 0.918480i | \(0.370583\pi\) | |||||||
\(570\) | −0.720222 | − | 6.85246i | −0.0301668 | − | 0.287018i | ||||
\(571\) | −0.405409 | + | 3.85721i | −0.0169659 | + | 0.161419i | −0.999724 | − | 0.0234740i | \(-0.992527\pi\) |
0.982759 | + | 0.184893i | \(0.0591940\pi\) | |||||||
\(572\) | 2.34547 | + | 0.498545i | 0.0980690 | + | 0.0208452i | ||||
\(573\) | −2.74810 | − | 1.99661i | −0.114803 | − | 0.0834096i | ||||
\(574\) | −4.44621 | − | 3.23036i | −0.185581 | − | 0.134833i | ||||
\(575\) | 5.14132 | + | 1.09282i | 0.214408 | + | 0.0455738i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | 2.97511 | + | 28.3062i | 0.123855 | + | 1.17840i | 0.863123 | + | 0.504993i | \(0.168505\pi\) |
−0.739268 | + | 0.673411i | \(0.764828\pi\) | |||||||
\(578\) | 15.2728 | − | 3.24633i | 0.635264 | − | 0.135030i | ||||
\(579\) | −16.7721 | − | 7.46743i | −0.697026 | − | 0.310336i | ||||
\(580\) | 2.13412 | − | 2.37018i | 0.0886145 | − | 0.0984164i | ||||
\(581\) | 2.83147 | + | 8.71437i | 0.117469 | + | 0.361533i | ||||
\(582\) | −9.47630 | − | 10.5245i | −0.392805 | − | 0.436254i | ||||
\(583\) | −2.28397 | + | 3.95596i | −0.0945925 | + | 0.163839i | ||||
\(584\) | 5.13421 | + | 8.89272i | 0.212455 | + | 0.367983i | ||||
\(585\) | −0.714888 | + | 2.20020i | −0.0295570 | + | 0.0909671i | ||||
\(586\) | −13.9729 | + | 6.22115i | −0.577217 | + | 0.256993i | ||||
\(587\) | −25.3699 | + | 18.4323i | −1.04713 | + | 0.760782i | −0.971664 | − | 0.236367i | \(-0.924043\pi\) |
−0.0754627 | + | 0.997149i | \(0.524043\pi\) | |||||||
\(588\) | −4.86178 | −0.200497 | ||||||||
\(589\) | −20.3529 | + | 32.5189i | −0.838627 | + | 1.33992i | ||||
\(590\) | 7.28134 | 0.299768 | ||||||||
\(591\) | −14.4096 | + | 10.4692i | −0.592733 | + | 0.430646i | ||||
\(592\) | 6.79549 | − | 3.02554i | 0.279293 | − | 0.124349i | ||||
\(593\) | −3.99433 | + | 12.2933i | −0.164027 | + | 0.504824i | −0.998963 | − | 0.0455227i | \(-0.985505\pi\) |
0.834936 | + | 0.550347i | \(0.185505\pi\) | |||||||
\(594\) | 0.518250 | + | 0.897636i | 0.0212641 | + | 0.0368305i | ||||
\(595\) | −0.860754 | + | 1.49087i | −0.0352875 | + | 0.0611197i | ||||
\(596\) | −9.24842 | − | 10.2714i | −0.378830 | − | 0.420733i | ||||
\(597\) | −4.53326 | − | 13.9519i | −0.185534 | − | 0.571015i | ||||
\(598\) | −8.13648 | + | 9.03648i | −0.332726 | + | 0.369529i | ||||
\(599\) | −17.7348 | − | 7.89605i | −0.724625 | − | 0.322624i | 0.0110683 | − | 0.999939i | \(-0.496477\pi\) |
−0.735693 | + | 0.677315i | \(0.763143\pi\) | |||||||
\(600\) | −0.978148 | + | 0.207912i | −0.0399327 | + | 0.00848796i | ||||
\(601\) | −2.41183 | − | 22.9471i | −0.0983807 | − | 0.936030i | −0.926707 | − | 0.375784i | \(-0.877373\pi\) |
0.828326 | − | 0.560246i | \(-0.189293\pi\) | |||||||
\(602\) | −0.291969 | + | 2.77790i | −0.0118998 | + | 0.113219i | ||||
\(603\) | 6.86993 | + | 1.46025i | 0.279765 | + | 0.0594659i | ||||
\(604\) | −16.1775 | − | 11.7536i | −0.658253 | − | 0.478249i | ||||
\(605\) | −8.03003 | − | 5.83416i | −0.326467 | − | 0.237192i | ||||
\(606\) | 3.76503 | + | 0.800281i | 0.152944 | + | 0.0325092i | ||||
\(607\) | 0.722961 | − | 6.87851i | 0.0293441 | − | 0.279190i | −0.970004 | − | 0.243089i | \(-0.921839\pi\) |
0.999348 | − | 0.0361014i | \(-0.0114939\pi\) | |||||||
\(608\) | 0.720222 | + | 6.85246i | 0.0292089 | + | 0.277904i | ||||
\(609\) | 4.56182 | − | 0.969645i | 0.184854 | − | 0.0392920i | ||||
\(610\) | −6.47906 | − | 2.88466i | −0.262329 | − | 0.116797i | ||||
\(611\) | 0.717222 | − | 0.796556i | 0.0290157 | − | 0.0322252i | ||||
\(612\) | −0.363803 | − | 1.11967i | −0.0147058 | − | 0.0452600i | ||||
\(613\) | 3.57780 | + | 3.97355i | 0.144506 | + | 0.160490i | 0.811053 | − | 0.584973i | \(-0.198895\pi\) |
−0.666547 | + | 0.745463i | \(0.732228\pi\) | |||||||
\(614\) | 12.7249 | − | 22.0402i | 0.513536 | − | 0.889470i | ||||
\(615\) | 1.87921 | + | 3.25489i | 0.0757772 | + | 0.131250i | ||||
\(616\) | −0.468358 | + | 1.44146i | −0.0188707 | + | 0.0580780i | ||||
\(617\) | 3.86872 | − | 1.72246i | 0.155749 | − | 0.0693438i | −0.327382 | − | 0.944892i | \(-0.606166\pi\) |
0.483131 | + | 0.875548i | \(0.339500\pi\) | |||||||
\(618\) | 4.34852 | − | 3.15939i | 0.174923 | − | 0.127089i | ||||
\(619\) | 26.9761 | 1.08426 | 0.542130 | − | 0.840294i | \(-0.317618\pi\) | ||||
0.542130 | + | 0.840294i | \(0.317618\pi\) | |||||||
\(620\) | 5.00250 | + | 2.44438i | 0.200905 | + | 0.0981686i | ||||
\(621\) | −5.25618 | −0.210923 | ||||||||
\(622\) | −13.6576 | + | 9.92286i | −0.547622 | + | 0.397870i | ||||
\(623\) | −9.83206 | + | 4.37752i | −0.393913 | + | 0.175381i | ||||
\(624\) | 0.714888 | − | 2.20020i | 0.0286184 | − | 0.0880785i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −5.69378 | + | 9.86192i | −0.227569 | + | 0.394162i | ||||
\(627\) | 4.77873 | + | 5.30732i | 0.190844 | + | 0.211954i | ||||
\(628\) | 3.45059 | + | 10.6198i | 0.137694 | + | 0.423777i | ||||
\(629\) | −5.85983 | + | 6.50800i | −0.233647 | + | 0.259491i | ||||
\(630\) | −1.33584 | − | 0.594756i | −0.0532213 | − | 0.0236957i | ||||
\(631\) | 39.8913 | − | 8.47915i | 1.58805 | − | 0.337550i | 0.672605 | − | 0.740002i | \(-0.265175\pi\) |
0.915441 | + | 0.402452i | \(0.131842\pi\) | |||||||
\(632\) | 0.406629 | + | 3.86882i | 0.0161748 | + | 0.153893i | ||||
\(633\) | 2.22836 | − | 21.2014i | 0.0885693 | − | 0.842681i | ||||
\(634\) | 19.2450 | + | 4.09065i | 0.764317 | + | 0.162460i | ||||
\(635\) | −3.86598 | − | 2.80880i | −0.153417 | − | 0.111464i | ||||
\(636\) | 3.56541 | + | 2.59042i | 0.141378 | + | 0.102717i | ||||
\(637\) | 11.0016 | + | 2.33846i | 0.435899 | + | 0.0926532i | ||||
\(638\) | −0.345551 | + | 3.28770i | −0.0136805 | + | 0.130161i | ||||
\(639\) | −1.69349 | − | 16.1125i | −0.0669934 | − | 0.637399i | ||||
\(640\) | 0.978148 | − | 0.207912i | 0.0386647 | − | 0.00821843i | ||||
\(641\) | 13.8623 | + | 6.17189i | 0.547528 | + | 0.243775i | 0.661808 | − | 0.749674i | \(-0.269789\pi\) |
−0.114280 | + | 0.993449i | \(0.536456\pi\) | |||||||
\(642\) | 8.15919 | − | 9.06169i | 0.322017 | − | 0.357637i | ||||
\(643\) | −3.63218 | − | 11.1787i | −0.143239 | − | 0.440845i | 0.853541 | − | 0.521026i | \(-0.174450\pi\) |
−0.996780 | + | 0.0801803i | \(0.974450\pi\) | |||||||
\(644\) | −5.14289 | − | 5.71175i | −0.202658 | − | 0.225075i | ||||
\(645\) | 0.955095 | − | 1.65427i | 0.0376068 | − | 0.0651369i | ||||
\(646\) | −4.05588 | − | 7.02500i | −0.159577 | − | 0.276395i | ||||
\(647\) | 11.0777 | − | 34.0937i | 0.435510 | − | 1.34036i | −0.457053 | − | 0.889439i | \(-0.651095\pi\) |
0.892563 | − | 0.450923i | \(-0.148905\pi\) | |||||||
\(648\) | 0.913545 | − | 0.406737i | 0.0358875 | − | 0.0159781i | ||||
\(649\) | −6.10574 | + | 4.43608i | −0.239671 | + | 0.174131i | ||||
\(650\) | 2.31343 | 0.0907401 | ||||||||
\(651\) | 3.81700 | + | 7.19133i | 0.149600 | + | 0.281850i | ||||
\(652\) | −12.1870 | −0.477278 | ||||||||
\(653\) | −27.5241 | + | 19.9974i | −1.07710 | + | 0.782559i | −0.977175 | − | 0.212436i | \(-0.931860\pi\) |
−0.0999252 | + | 0.994995i | \(0.531860\pi\) | |||||||
\(654\) | 2.55634 | − | 1.13816i | 0.0999608 | − | 0.0445054i | ||||
\(655\) | 2.53216 | − | 7.79318i | 0.0989395 | − | 0.304505i | ||||
\(656\) | −1.87921 | − | 3.25489i | −0.0733710 | − | 0.127082i | ||||
\(657\) | 5.13421 | − | 8.89272i | 0.200305 | − | 0.346938i | ||||
\(658\) | 0.453340 | + | 0.503485i | 0.0176730 | + | 0.0196279i | ||||
\(659\) | 7.60365 | + | 23.4016i | 0.296196 | + | 0.911597i | 0.982817 | + | 0.184582i | \(0.0590931\pi\) |
−0.686621 | + | 0.727015i | \(0.740907\pi\) | |||||||
\(660\) | 0.693554 | − | 0.770270i | 0.0269966 | − | 0.0299827i | ||||
\(661\) | −7.51009 | − | 3.34371i | −0.292109 | − | 0.130055i | 0.255451 | − | 0.966822i | \(-0.417776\pi\) |
−0.547559 | + | 0.836767i | \(0.684443\pi\) | |||||||
\(662\) | 0.430005 | − | 0.0914004i | 0.0167126 | − | 0.00355238i | ||||
\(663\) | 0.284691 | + | 2.70865i | 0.0110565 | + | 0.105195i | ||||
\(664\) | −0.654996 | + | 6.23187i | −0.0254188 | + | 0.241843i | ||||
\(665\) | −9.85513 | − | 2.09477i | −0.382166 | − | 0.0812318i | ||||
\(666\) | −6.01794 | − | 4.37229i | −0.233190 | − | 0.169423i | ||||
\(667\) | −13.5624 | − | 9.85364i | −0.525137 | − | 0.381534i | ||||
\(668\) | −0.921382 | − | 0.195846i | −0.0356493 | − | 0.00757750i | ||||
\(669\) | 0.443505 | − | 4.21967i | 0.0171469 | − | 0.163142i | ||||
\(670\) | −0.734146 | − | 6.98493i | −0.0283625 | − | 0.269851i | ||||
\(671\) | 7.19044 | − | 1.52838i | 0.277584 | − | 0.0590023i | ||||
\(672\) | 1.33584 | + | 0.594756i | 0.0515313 | + | 0.0229432i | ||||
\(673\) | 27.4010 | − | 30.4319i | 1.05623 | − | 1.17306i | 0.0717768 | − | 0.997421i | \(-0.477133\pi\) |
0.984454 | − | 0.175642i | \(-0.0562003\pi\) | |||||||
\(674\) | −8.56716 | − | 26.3670i | −0.329995 | − | 1.01562i | ||||
\(675\) | 0.669131 | + | 0.743145i | 0.0257548 | + | 0.0286037i | ||||
\(676\) | 3.82403 | − | 6.62341i | 0.147078 | − | 0.254747i | ||||
\(677\) | −16.1745 | − | 28.0150i | −0.621636 | − | 1.07671i | −0.989181 | − | 0.146700i | \(-0.953135\pi\) |
0.367545 | − | 0.930006i | \(-0.380198\pi\) | |||||||
\(678\) | −0.0357792 | + | 0.110117i | −0.00137409 | + | 0.00422903i | ||||
\(679\) | −18.9184 | + | 8.42300i | −0.726021 | + | 0.323245i | ||||
\(680\) | −0.952448 | + | 0.691994i | −0.0365247 | + | 0.0265367i | ||||
\(681\) | −4.65606 | −0.178420 | ||||||||
\(682\) | −5.68404 | + | 0.997997i | −0.217653 | + | 0.0382153i | ||||
\(683\) | 35.9916 | 1.37718 | 0.688591 | − | 0.725150i | \(-0.258230\pi\) | ||||
0.688591 | + | 0.725150i | \(0.258230\pi\) | |||||||
\(684\) | 5.57429 | − | 4.04996i | 0.213138 | − | 0.154854i | ||||
\(685\) | 0.00104679 | 0.000466060i | 3.99957e−5 | 1.78072e-5i | ||||||
\(686\) | −5.35992 | + | 16.4961i | −0.204643 | + | 0.629825i | ||||
\(687\) | 6.12555 | + | 10.6098i | 0.233704 | + | 0.404788i | ||||
\(688\) | −0.955095 | + | 1.65427i | −0.0364127 | + | 0.0630686i | ||||
\(689\) | −6.82210 | − | 7.57671i | −0.259901 | − | 0.288650i | ||||
\(690\) | 1.62425 | + | 4.99892i | 0.0618341 | + | 0.190306i | ||||
\(691\) | 20.4985 | − | 22.7659i | 0.779800 | − | 0.866055i | −0.214047 | − | 0.976823i | \(-0.568664\pi\) |
0.993846 | + | 0.110768i | \(0.0353311\pi\) | |||||||
\(692\) | −5.06225 | − | 2.25386i | −0.192438 | − | 0.0856789i | ||||
\(693\) | 1.48252 | − | 0.315119i | 0.0563162 | − | 0.0119704i | ||||
\(694\) | 2.44552 | + | 23.2675i | 0.0928305 | + | 0.883223i | ||||
\(695\) | −1.37411 | + | 13.0738i | −0.0521228 | + | 0.495916i | ||||
\(696\) | 3.11970 | + | 0.663112i | 0.118252 | + | 0.0251352i | ||||
\(697\) | 3.57971 | + | 2.60081i | 0.135591 | + | 0.0985126i | ||||
\(698\) | 8.35392 | + | 6.06948i | 0.316201 | + | 0.229733i | ||||
\(699\) | −17.8224 | − | 3.78827i | −0.674106 | − | 0.143286i | ||||
\(700\) | −0.152848 | + | 1.45425i | −0.00577712 | + | 0.0549656i | ||||
\(701\) | −2.05052 | − | 19.5094i | −0.0774472 | − | 0.736861i | −0.962484 | − | 0.271339i | \(-0.912533\pi\) |
0.885037 | − | 0.465522i | \(-0.154133\pi\) | |||||||
\(702\) | −2.26287 | + | 0.480988i | −0.0854066 | + | 0.0181537i | ||||
\(703\) | −46.8223 | − | 20.8466i | −1.76594 | − | 0.786245i | ||||
\(704\) | −0.693554 | + | 0.770270i | −0.0261393 | + | 0.0290307i | ||||
\(705\) | −0.143176 | − | 0.440650i | −0.00539231 | − | 0.0165958i | ||||
\(706\) | −12.9286 | − | 14.3587i | −0.486575 | − | 0.540396i | ||||
\(707\) | 2.81423 | − | 4.87439i | 0.105840 | − | 0.183320i | ||||
\(708\) | 3.64067 | + | 6.30582i | 0.136825 | + | 0.236987i | ||||
\(709\) | 5.26044 | − | 16.1900i | 0.197560 | − | 0.608027i | −0.802377 | − | 0.596817i | \(-0.796432\pi\) |
0.999937 | − | 0.0112099i | \(-0.00356828\pi\) | |||||||
\(710\) | −14.8005 | + | 6.58963i | −0.555455 | + | 0.247304i | ||||
\(711\) | 3.14718 | − | 2.28656i | 0.118028 | − | 0.0857527i | ||||
\(712\) | −7.36018 | −0.275834 | ||||||||
\(713\) | 10.0292 | − | 27.4930i | 0.375598 | − | 1.02962i | ||||
\(714\) | −1.72151 | −0.0644259 | ||||||||
\(715\) | −1.93992 | + | 1.40943i | −0.0725488 | + | 0.0527098i | ||||
\(716\) | −10.0447 | + | 4.47218i | −0.375387 | + | 0.167133i | ||||
\(717\) | 8.78926 | − | 27.0506i | 0.328241 | − | 1.01022i | ||||
\(718\) | −8.78674 | − | 15.2191i | −0.327918 | − | 0.567971i | ||||
\(719\) | −16.0534 | + | 27.8052i | −0.598690 | + | 1.03696i | 0.394325 | + | 0.918971i | \(0.370978\pi\) |
−0.993015 | + | 0.117990i | \(0.962355\pi\) | |||||||
\(720\) | −0.669131 | − | 0.743145i | −0.0249370 | − | 0.0276954i | ||||
\(721\) | −2.42880 | − | 7.47509i | −0.0904534 | − | 0.278387i | ||||
\(722\) | 19.0534 | − | 21.1610i | 0.709095 | − | 0.787530i | ||||
\(723\) | −12.8473 | − | 5.71997i | −0.477795 | − | 0.212728i | ||||
\(724\) | −7.26040 | + | 1.54325i | −0.269831 | + | 0.0573543i | ||||
\(725\) | 0.333382 | + | 3.17192i | 0.0123815 | + | 0.117802i | ||||
\(726\) | 1.03751 | − | 9.87129i | 0.0385058 | − | 0.366358i | ||||
\(727\) | 19.7534 | + | 4.19871i | 0.732613 | + | 0.155722i | 0.559089 | − | 0.829108i | \(-0.311151\pi\) |
0.173524 | + | 0.984830i | \(0.444484\pi\) | |||||||
\(728\) | −2.73678 | − | 1.98838i | −0.101432 | − | 0.0736944i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −10.0440 | − | 2.13493i | −0.371746 | − | 0.0790171i | ||||
\(731\) | 0.235069 | − | 2.23653i | 0.00869433 | − | 0.0827210i | ||||
\(732\) | −0.741338 | − | 7.05336i | −0.0274006 | − | 0.260700i | ||||
\(733\) | −10.7791 | + | 2.29116i | −0.398134 | + | 0.0846261i | −0.402628 | − | 0.915364i | \(-0.631903\pi\) |
0.00449332 | + | 0.999990i | \(0.498570\pi\) | |||||||
\(734\) | 14.7753 | + | 6.57839i | 0.545367 | + | 0.242813i | ||||
\(735\) | 3.25317 | − | 3.61301i | 0.119995 | − | 0.133268i | ||||
\(736\) | −1.62425 | − | 4.99892i | −0.0598706 | − | 0.184263i | ||||
\(737\) | 4.87111 | + | 5.40992i | 0.179430 | + | 0.199277i | ||||
\(738\) | −1.87921 | + | 3.25489i | −0.0691748 | + | 0.119814i | ||||
\(739\) | −6.16552 | − | 10.6790i | −0.226802 | − | 0.392833i | 0.730056 | − | 0.683387i | \(-0.239494\pi\) |
−0.956859 | + | 0.290554i | \(0.906160\pi\) | |||||||
\(740\) | −2.29865 | + | 7.07451i | −0.0845000 | + | 0.260064i | ||||
\(741\) | −14.5619 | + | 6.48338i | −0.534945 | + | 0.238173i | ||||
\(742\) | 5.21357 | − | 3.78788i | 0.191396 | − | 0.139057i | ||||
\(743\) | 5.65725 | 0.207544 | 0.103772 | − | 0.994601i | \(-0.466909\pi\) | ||||
0.103772 | + | 0.994601i | \(0.466909\pi\) | |||||||
\(744\) | 0.384356 | + | 5.55448i | 0.0140912 | + | 0.203637i | ||||
\(745\) | 13.8215 | 0.506382 | ||||||||
\(746\) | −12.1915 | + | 8.85764i | −0.446362 | + | 0.324301i | ||||
\(747\) | 5.72445 | − | 2.54869i | 0.209447 | − | 0.0932517i | ||||
\(748\) | 0.377082 | − | 1.16054i | 0.0137875 | − | 0.0424335i | ||||
\(749\) | −8.91521 | − | 15.4416i | −0.325755 | − | 0.564224i | ||||
\(750\) | 0.500000 | − | 0.866025i | 0.0182574 | − | 0.0316228i | ||||
\(751\) | −30.3260 | − | 33.6805i | −1.10661 | − | 1.22902i | −0.971210 | − | 0.238227i | \(-0.923434\pi\) |
−0.135403 | − | 0.990791i | \(-0.543233\pi\) | |||||||
\(752\) | 0.143176 | + | 0.440650i | 0.00522108 | + | 0.0160688i | ||||
\(753\) | 2.76414 | − | 3.06988i | 0.100731 | − | 0.111873i | ||||
\(754\) | −6.74053 | − | 3.00108i | −0.245475 | − | 0.109293i | ||||
\(755\) | 19.5595 | − | 4.15750i | 0.711844 | − | 0.151307i | ||||
\(756\) | −0.152848 | − | 1.45425i | −0.00555904 | − | 0.0528907i | ||||
\(757\) | −3.32320 | + | 31.6182i | −0.120784 | + | 1.14918i | 0.751346 | + | 0.659908i | \(0.229405\pi\) |
−0.872130 | + | 0.489274i | \(0.837262\pi\) | |||||||
\(758\) | 9.43582 | + | 2.00564i | 0.342724 | + | 0.0728483i | ||||
\(759\) | −4.40755 | − | 3.20227i | −0.159984 | − | 0.116235i | ||||
\(760\) | −5.57429 | − | 4.04996i | −0.202201 | − | 0.146908i | ||||
\(761\) | 4.74455 | + | 1.00848i | 0.171990 | + | 0.0365575i | 0.293101 | − | 0.956081i | \(-0.405313\pi\) |
−0.121112 | + | 0.992639i | \(0.538646\pi\) | |||||||
\(762\) | 0.499502 | − | 4.75244i | 0.0180950 | − | 0.172163i | ||||
\(763\) | −0.427709 | − | 4.06938i | −0.0154841 | − | 0.147322i | ||||
\(764\) | −3.32261 | + | 0.706242i | −0.120208 | + | 0.0255509i | ||||
\(765\) | 1.07551 | + | 0.478847i | 0.0388851 | + | 0.0173127i | ||||
\(766\) | −13.0960 | + | 14.5446i | −0.473178 | + | 0.525518i | ||||
\(767\) | −5.20534 | − | 16.0204i | −0.187954 | − | 0.578463i | ||||
\(768\) | 0.669131 | + | 0.743145i | 0.0241452 | + | 0.0268159i | ||||
\(769\) | −6.54204 | + | 11.3312i | −0.235912 | + | 0.408612i | −0.959537 | − | 0.281581i | \(-0.909141\pi\) |
0.723625 | + | 0.690193i | \(0.242474\pi\) | |||||||
\(770\) | −0.757819 | − | 1.31258i | −0.0273099 | − | 0.0473021i | ||||
\(771\) | 3.71577 | − | 11.4360i | 0.133820 | − | 0.411857i | ||||
\(772\) | −16.7721 | + | 7.46743i | −0.603642 | + | 0.268759i | ||||
\(773\) | −20.1755 | + | 14.6584i | −0.725663 | + | 0.527225i | −0.888188 | − | 0.459479i | \(-0.848036\pi\) |
0.162526 | + | 0.986704i | \(0.448036\pi\) | |||||||
\(774\) | 1.91019 | 0.0686604 | ||||||||
\(775\) | −5.16385 | + | 2.08197i | −0.185491 | + | 0.0747867i | ||||
\(776\) | −14.1621 | −0.508390 | ||||||||
\(777\) | −8.79982 | + | 6.39344i | −0.315692 | + | 0.229364i | ||||
\(778\) | −6.20199 | + | 2.76130i | −0.222352 | + | 0.0989975i | ||||
\(779\) | −8.00241 | + | 24.6289i | −0.286716 | + | 0.882421i | ||||
\(780\) | 1.15671 | + | 2.00349i | 0.0414170 | + | 0.0717363i | ||||
\(781\) | 8.39629 | − | 14.5428i | 0.300443 | − | 0.520382i | ||||
\(782\) | 4.14061 | + | 4.59861i | 0.148068 | + | 0.164446i | ||||
\(783\) | −0.985576 | − | 3.03329i | −0.0352216 | − | 0.108401i | ||||
\(784\) | −3.25317 | + | 3.61301i | −0.116185 | + | 0.129036i | ||||
\(785\) | −10.2010 | − | 4.54176i | −0.364088 | − | 0.162103i | ||||
\(786\) | 8.01517 | − | 1.70368i | 0.285892 | − | 0.0607681i | ||||
\(787\) | 0.103088 | + | 0.980821i | 0.00367471 | + | 0.0349625i | 0.996206 | − | 0.0870311i | \(-0.0277379\pi\) |
−0.992531 | + | 0.121994i | \(0.961071\pi\) | |||||||
\(788\) | −1.86179 | + | 17.7137i | −0.0663234 | + | 0.631025i | ||||
\(789\) | −19.8541 | − | 4.22011i | −0.706823 | − | 0.150240i | ||||
\(790\) | −3.14718 | − | 2.28656i | −0.111972 | − | 0.0813522i | ||||
\(791\) | 0.136972 | + | 0.0995161i | 0.00487017 | + | 0.00353838i | ||||
\(792\) | 1.01385 | + | 0.215501i | 0.0360256 | + | 0.00765748i | ||||
\(793\) | −1.71503 | + | 16.3174i | −0.0609025 | + | 0.579449i | ||||
\(794\) | −0.0484645 | − | 0.461109i | −0.00171994 | − | 0.0163641i | ||||
\(795\) | −4.31078 | + | 0.916285i | −0.152888 | + | 0.0324973i | ||||
\(796\) | −13.4016 | − | 5.96680i | −0.475009 | − | 0.211488i | ||||
\(797\) | 21.3832 | − | 23.7485i | 0.757432 | − | 0.841214i | −0.233945 | − | 0.972250i | \(-0.575164\pi\) |
0.991378 | + | 0.131036i | \(0.0418303\pi\) | |||||||
\(798\) | −3.11344 | − | 9.58218i | −0.110215 | − | 0.339205i | ||||
\(799\) | −0.364990 | − | 0.405363i | −0.0129124 | − | 0.0143407i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | 3.68009 | + | 6.37410i | 0.130030 | + | 0.225218i | ||||
\(802\) | 9.78396 | − | 30.1119i | 0.345484 | − | 1.06329i | ||||
\(803\) | 9.72307 | − | 4.32899i | 0.343120 | − | 0.152767i | ||||
\(804\) | 5.68205 | − | 4.12825i | 0.200391 | − | 0.145592i | ||||
\(805\) | 7.68592 | 0.270893 | ||||||||
\(806\) | 1.80189 | − | 12.7540i | 0.0634690 | − | 0.449239i | ||||
\(807\) | −8.29931 | −0.292149 | ||||||||
\(808\) | 3.11402 | − | 2.26247i | 0.109551 | − | 0.0795933i | ||||
\(809\) | 37.1773 | − | 16.5524i | 1.30708 | − | 0.581951i | 0.369344 | − | 0.929293i | \(-0.379582\pi\) |
0.937739 | + | 0.347342i | \(0.112916\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | −0.595879 | − | 1.03209i | −0.0209242 | − | 0.0362417i | 0.855374 | − | 0.518011i | \(-0.173328\pi\) |
−0.876298 | + | 0.481770i | \(0.839994\pi\) | |||||||
\(812\) | 2.33187 | − | 4.03891i | 0.0818325 | − | 0.141738i | ||||
\(813\) | −12.3727 | − | 13.7412i | −0.433928 | − | 0.481926i | ||||
\(814\) | −2.38255 | − | 7.33274i | −0.0835084 | − | 0.257012i | ||||
\(815\) | 8.15467 | − | 9.05668i | 0.285646 | − | 0.317242i | ||||
\(816\) | −1.07551 | − | 0.478847i | −0.0376503 | − | 0.0167630i | ||||
\(817\) | 12.8740 | − | 2.73645i | 0.450404 | − | 0.0957363i | ||||
\(818\) | −3.66721 | − | 34.8912i | −0.128221 | − | 1.21994i | ||||
\(819\) | −0.353603 | + | 3.36431i | −0.0123559 | + | 0.117558i | ||||
\(820\) | 3.67630 | + | 0.781421i | 0.128382 | + | 0.0272884i | ||||
\(821\) | 10.4427 | + | 7.58706i | 0.364452 | + | 0.264790i | 0.754907 | − | 0.655832i | \(-0.227682\pi\) |
−0.390454 | + | 0.920622i | \(0.627682\pi\) | |||||||
\(822\) | 0.000927014 | 0 | 0.000673515i | 3.23333e−5 | 0 | 2.34915e-5i | ||||
\(823\) | 32.5897 | + | 6.92715i | 1.13601 | + | 0.241465i | 0.737268 | − | 0.675600i | \(-0.236115\pi\) |
0.398737 | + | 0.917065i | \(0.369449\pi\) | |||||||
\(824\) | 0.561848 | − | 5.34562i | 0.0195729 | − | 0.186224i | ||||
\(825\) | 0.108344 | + | 1.03082i | 0.00377205 | + | 0.0358886i | ||||
\(826\) | 10.4146 | − | 2.21368i | 0.362369 | − | 0.0770239i | ||||
\(827\) | −42.6169 | − | 18.9743i | −1.48194 | − | 0.659800i | −0.503059 | − | 0.864252i | \(-0.667792\pi\) |
−0.978877 | + | 0.204452i | \(0.934459\pi\) | |||||||
\(828\) | −3.51707 | + | 3.90610i | −0.122227 | + | 0.135746i | ||||
\(829\) | 16.2982 | + | 50.1609i | 0.566062 | + | 1.74216i | 0.664776 | + | 0.747043i | \(0.268527\pi\) |
−0.0987146 | + | 0.995116i | \(0.531473\pi\) | |||||||
\(830\) | −4.19290 | − | 4.65669i | −0.145538 | − | 0.161636i | ||||
\(831\) | 4.90763 | − | 8.50026i | 0.170244 | − | 0.294871i | ||||
\(832\) | −1.15671 | − | 2.00349i | −0.0401018 | − | 0.0694584i | ||||
\(833\) | 1.76873 | − | 5.44359i | 0.0612828 | − | 0.188609i | ||||
\(834\) | −12.0093 | + | 5.34686i | −0.415846 | + | 0.185147i | ||||
\(835\) | 0.762067 | − | 0.553674i | 0.0263724 | − | 0.0191607i | ||||
\(836\) | 7.14170 | 0.247001 | ||||||||
\(837\) | 4.61814 | − | 3.11010i | 0.159626 | − | 0.107501i | ||||
\(838\) | −24.3282 | −0.840402 | ||||||||
\(839\) | −27.5782 | + | 20.0367i | −0.952105 | + | 0.691744i | −0.951304 | − | 0.308255i | \(-0.900255\pi\) |
−0.000800913 | 1.00000i | \(0.500255\pi\) | ||||||||
\(840\) | −1.33584 | + | 0.594756i | −0.0460910 | + | 0.0205210i | ||||
\(841\) | −5.81810 | + | 17.9063i | −0.200624 | + | 0.617458i | ||||
\(842\) | −3.63598 | − | 6.29770i | −0.125304 | − | 0.217033i | ||||
\(843\) | −8.63549 | + | 14.9571i | −0.297422 | + | 0.515150i | ||||
\(844\) | −14.2647 | − | 15.8425i | −0.491010 | − | 0.545322i | ||||
\(845\) | 2.36338 | + | 7.27373i | 0.0813027 | + | 0.250224i | ||||
\(846\) | 0.310026 | − | 0.344319i | 0.0106589 | − | 0.0118379i | ||||
\(847\) | −13.2591 | − | 5.90335i | −0.455590 | − | 0.202842i | ||||
\(848\) | 4.31078 | − | 0.916285i | 0.148033 | − | 0.0314653i | ||||
\(849\) | 1.06652 | + | 10.1472i | 0.0366027 | + | 0.348252i | ||||
\(850\) | 0.123060 | − | 1.17084i | 0.00422093 | − | 0.0401595i | ||||
\(851\) | 38.2441 | + | 8.12904i | 1.31099 | + | 0.278660i | ||||
\(852\) | −13.1071 | − | 9.52284i | −0.449040 | − | 0.326247i | ||||
\(853\) | 14.1665 | + | 10.2926i | 0.485051 | + | 0.352410i | 0.803278 | − | 0.595604i | \(-0.203087\pi\) |
−0.318227 | + | 0.948015i | \(0.603087\pi\) | |||||||
\(854\) | −10.1441 | − | 2.15619i | −0.347123 | − | 0.0737832i | ||||
\(855\) | −0.720222 | + | 6.85246i | −0.0246311 | + | 0.234349i | ||||
\(856\) | −1.27459 | − | 12.1269i | −0.0435646 | − | 0.414489i | ||||
\(857\) | 43.1036 | − | 9.16194i | 1.47239 | − | 0.312966i | 0.599299 | − | 0.800525i | \(-0.295446\pi\) |
0.873090 | + | 0.487559i | \(0.162113\pi\) | |||||||
\(858\) | −2.19056 | − | 0.975301i | −0.0747846 | − | 0.0332962i | ||||
\(859\) | −7.28304 | + | 8.08864i | −0.248494 | + | 0.275981i | −0.854468 | − | 0.519504i | \(-0.826117\pi\) |
0.605974 | + | 0.795484i | \(0.292784\pi\) | |||||||
\(860\) | −0.590281 | − | 1.81670i | −0.0201284 | − | 0.0619489i | ||||
\(861\) | 3.67742 | + | 4.08419i | 0.125326 | + | 0.139189i | ||||
\(862\) | 10.7078 | − | 18.5464i | 0.364709 | − | 0.631695i | ||||
\(863\) | −6.16267 | − | 10.6741i | −0.209780 | − | 0.363349i | 0.741865 | − | 0.670549i | \(-0.233941\pi\) |
−0.951645 | + | 0.307200i | \(0.900608\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 5.06225 | − | 2.25386i | 0.172122 | − | 0.0766336i | ||||
\(866\) | 27.4277 | − | 19.9274i | 0.932032 | − | 0.677161i | ||||
\(867\) | −15.6140 | −0.530279 | ||||||||
\(868\) | 7.89827 | + | 1.97535i | 0.268085 | + | 0.0670478i | ||||
\(869\) | 4.03212 | 0.136780 | ||||||||
\(870\) | −2.58027 | + | 1.87468i | −0.0874794 | + | 0.0635575i | ||||
\(871\) | −14.8434 | + | 6.60871i | −0.502950 | + | 0.223928i | ||||
\(872\) | 0.864710 | − | 2.66130i | 0.0292828 | − | 0.0901231i | ||||
\(873\) | 7.08105 | + | 12.2647i | 0.239657 | + | 0.415099i | ||||
\(874\) | −18.1081 | + | 31.3641i | −0.612515 | + | 1.06091i | ||||
\(875\) | −0.978446 | − | 1.08667i | −0.0330775 | − | 0.0367363i | ||||
\(876\) | −3.17312 | − | 9.76585i | −0.107210 | − | 0.329958i | ||||
\(877\) | 5.90070 | − | 6.55340i | 0.199253 | − | 0.221292i | −0.635235 | − | 0.772319i | \(-0.719097\pi\) |
0.834488 | + | 0.551026i | \(0.185764\pi\) | |||||||
\(878\) | 0.859543 | + | 0.382693i | 0.0290082 | + | 0.0129153i | ||||
\(879\) | 14.9610 | − | 3.18007i | 0.504623 | − | 0.107261i | ||||
\(880\) | −0.108344 | − | 1.03082i | −0.00365227 | − | 0.0347490i | ||||
\(881\) | −3.70908 | + | 35.2896i | −0.124962 | + | 1.18894i | 0.734816 | + | 0.678267i | \(0.237269\pi\) |
−0.859778 | + | 0.510668i | \(0.829398\pi\) | |||||||
\(882\) | 4.75554 | + | 1.01082i | 0.160127 | + | 0.0340361i | ||||
\(883\) | −6.16580 | − | 4.47972i | −0.207496 | − | 0.150755i | 0.479184 | − | 0.877714i | \(-0.340933\pi\) |
−0.686680 | + | 0.726960i | \(0.740933\pi\) | |||||||
\(884\) | 2.20342 | + | 1.60088i | 0.0741090 | + | 0.0538433i | ||||
\(885\) | −7.12222 | − | 1.51387i | −0.239411 | − | 0.0508883i | ||||
\(886\) | −0.556517 | + | 5.29491i | −0.0186966 | + | 0.177886i | ||||
\(887\) | −3.66576 | − | 34.8773i | −0.123084 | − | 1.17107i | −0.865423 | − | 0.501042i | \(-0.832950\pi\) |
0.742339 | − | 0.670024i | \(-0.233716\pi\) | |||||||
\(888\) | −7.27603 | + | 1.54657i | −0.244168 | + | 0.0518994i | ||||
\(889\) | −6.38349 | − | 2.84211i | −0.214095 | − | 0.0953214i | ||||
\(890\) | 4.92492 | − | 5.46968i | 0.165084 | − | 0.183344i | ||||
\(891\) | −0.320296 | − | 0.985771i | −0.0107303 | − | 0.0330246i | ||||
\(892\) | −2.83906 | − | 3.15310i | −0.0950589 | − | 0.105574i | ||||
\(893\) | 1.59621 | − | 2.76471i | 0.0534150 | − | 0.0925176i | ||||
\(894\) | 6.91077 | + | 11.9698i | 0.231131 | + | 0.400330i | ||||
\(895\) | 3.39773 | − | 10.4571i | 0.113573 | − | 0.349543i | ||||
\(896\) | 1.33584 | − | 0.594756i | 0.0446274 | − | 0.0198694i | ||||
\(897\) | 9.83747 | − | 7.14734i | 0.328464 | − | 0.238643i | ||||
\(898\) | −24.4137 | −0.814696 | ||||||||
\(899\) | 17.7465 | + | 0.632620i | 0.591879 | + | 0.0210990i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −4.19752 | + | 3.04968i | −0.139840 | + | 0.101599i | ||||
\(902\) | −3.55882 | + | 1.58449i | −0.118496 | + | 0.0527577i | ||||
\(903\) | 0.863147 | − | 2.65649i | 0.0287237 | − | 0.0884026i | ||||
\(904\) | 0.0578920 | + | 0.100272i | 0.00192546 | + | 0.00333500i | ||||
\(905\) | 3.71130 | − | 6.42817i | 0.123368 | − | 0.213679i | ||||
\(906\) | 13.3803 | + | 14.8603i | 0.444530 | + | 0.493700i | ||||
\(907\) | −3.01075 | − | 9.26614i | −0.0999704 | − | 0.307677i | 0.888547 | − | 0.458786i | \(-0.151716\pi\) |
−0.988517 | + | 0.151109i | \(0.951716\pi\) | |||||||
\(908\) | −3.11551 | + | 3.46012i | −0.103392 | + | 0.114828i | ||||
\(909\) | −3.51636 | − | 1.56559i | −0.116630 | − | 0.0519272i | ||||
\(910\) | 3.30892 | − | 0.703332i | 0.109690 | − | 0.0233152i | ||||
\(911\) | 0.824464 | + | 7.84425i | 0.0273157 | + | 0.259891i | 0.999654 | + | 0.0263134i | \(0.00837678\pi\) |
−0.972338 | + | 0.233578i | \(0.924957\pi\) | |||||||
\(912\) | 0.720222 | − | 6.85246i | 0.0238489 | − | 0.226908i | ||||
\(913\) | 6.35299 | + | 1.35037i | 0.210253 | + | 0.0446907i | ||||
\(914\) | −16.2717 | − | 11.8221i | −0.538221 | − | 0.391040i | ||||
\(915\) | 5.73772 | + | 4.16870i | 0.189683 | + | 0.137813i | ||||
\(916\) | 11.9834 | + | 2.54715i | 0.395942 | + | 0.0841602i | ||||
\(917\) | 1.25247 | − | 11.9165i | 0.0413603 | − | 0.393517i | ||||
\(918\) | 0.123060 | + | 1.17084i | 0.00406160 | + | 0.0386435i | ||||
\(919\) | −56.0561 | + | 11.9151i | −1.84912 | + | 0.393042i | −0.992432 | − | 0.122794i | \(-0.960815\pi\) |
−0.856687 | + | 0.515836i | \(0.827481\pi\) | |||||||
\(920\) | 4.80176 | + | 2.13788i | 0.158309 | + | 0.0704838i | ||||
\(921\) | −17.0293 | + | 18.9129i | −0.561133 | + | 0.623202i | ||||
\(922\) | −3.04689 | − | 9.37736i | −0.100344 | − | 0.308827i | ||||
\(923\) | 25.0792 | + | 27.8533i | 0.825493 | + | 0.916803i | ||||
\(924\) | 0.757819 | − | 1.31258i | 0.0249304 | − | 0.0431807i | ||||
\(925\) | −3.71929 | − | 6.44200i | −0.122290 | − | 0.211812i | ||||
\(926\) | −4.91382 | + | 15.1232i | −0.161478 | + | 0.496978i | ||||
\(927\) | −4.91037 | + | 2.18624i | −0.161278 | + | 0.0718055i | ||||
\(928\) | 2.58027 | − | 1.87468i | 0.0847016 | − | 0.0615393i | ||||
\(929\) | 4.71279 | 0.154622 | 0.0773108 | − | 0.997007i | \(-0.475367\pi\) | ||||
0.0773108 | + | 0.997007i | \(0.475367\pi\) | |||||||
\(930\) | −4.38497 | − | 3.43104i | −0.143789 | − | 0.112508i | ||||
\(931\) | 33.4987 | 1.09787 | ||||||||
\(932\) | −14.7408 | + | 10.7098i | −0.482850 | + | 0.350811i | ||||
\(933\) | 15.4223 | − | 6.86644i | 0.504903 | − | 0.224797i | ||||
\(934\) | −1.13366 | + | 3.48904i | −0.0370945 | + | 0.114165i | ||||
\(935\) | 0.610131 | + | 1.05678i | 0.0199534 | + | 0.0345603i | ||||
\(936\) | −1.15671 | + | 2.00349i | −0.0378084 | + | 0.0654860i | ||||
\(937\) | 8.66976 | + | 9.62874i | 0.283229 | + | 0.314557i | 0.867925 | − | 0.496695i | \(-0.165453\pi\) |
−0.584697 | + | 0.811252i | \(0.698786\pi\) | |||||||
\(938\) | −3.17363 | − | 9.76742i | −0.103623 | − | 0.318918i | ||||
\(939\) | 7.61977 | − | 8.46261i | 0.248662 | − | 0.276167i | ||||
\(940\) | −0.423270 | − | 0.188452i | −0.0138055 | − | 0.00614662i | ||||
\(941\) | 9.85116 | − | 2.09393i | 0.321139 | − | 0.0682601i | −0.0445219 | − | 0.999008i | \(-0.514176\pi\) |
0.365661 | + | 0.930748i | \(0.380843\pi\) | |||||||
\(942\) | −1.16720 | − | 11.1052i | −0.0380295 | − | 0.361826i | ||||
\(943\) | 2.06496 | − | 19.6467i | 0.0672442 | − | 0.639786i | ||||
\(944\) | 7.12222 | + | 1.51387i | 0.231809 | + | 0.0492724i | ||||
\(945\) | 1.18300 | + | 0.859497i | 0.0384829 | + | 0.0279594i | ||||
\(946\) | 1.60178 | + | 1.16376i | 0.0520785 | + | 0.0378372i | ||||
\(947\) | −12.7970 | − | 2.72009i | −0.415847 | − | 0.0883909i | −0.00476319 | − | 0.999989i | \(-0.501516\pi\) |
−0.411083 | + | 0.911598i | \(0.634850\pi\) | |||||||
\(948\) | 0.406629 | − | 3.86882i | 0.0132067 | − | 0.125653i | ||||
\(949\) | 2.48310 | + | 23.6251i | 0.0806048 | + | 0.766904i | ||||
\(950\) | 6.73964 | − | 1.43255i | 0.218663 | − | 0.0464782i | ||||
\(951\) | −17.9740 | − | 8.00252i | −0.582845 | − | 0.259499i | ||||
\(952\) | −1.15191 | + | 1.27933i | −0.0373338 | + | 0.0414633i | ||||
\(953\) | 0.885611 | + | 2.72563i | 0.0286878 | + | 0.0882918i | 0.964375 | − | 0.264538i | \(-0.0852195\pi\) |
−0.935688 | + | 0.352830i | \(0.885219\pi\) | |||||||
\(954\) | −2.94892 | − | 3.27510i | −0.0954747 | − | 0.106035i | ||||
\(955\) | 1.69842 | − | 2.94175i | 0.0549595 | − | 0.0951927i | ||||
\(956\) | −14.2213 | − | 24.6320i | −0.459950 | − | 0.796657i | ||||
\(957\) | 1.02155 | − | 3.14401i | 0.0330220 | − | 0.101631i | ||||
\(958\) | −15.7750 | + | 7.02347i | −0.509666 | + | 0.226918i | ||||
\(959\) | 0.00135554 | 0.000984857i | 4.37726e−5 | 3.18027e-5i | ||||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | 7.45590 | + | 30.0900i | 0.240513 | + | 0.970646i | ||||
\(962\) | 17.2086 | 0.554828 | ||||||||
\(963\) | −9.86492 | + | 7.16728i | −0.317893 | + | 0.230962i | ||||
\(964\) | −12.8473 | + | 5.71997i | −0.413783 | + | 0.184228i | ||||
\(965\) | 5.67336 | − | 17.4608i | 0.182632 | − | 0.562083i | ||||
\(966\) | 3.84296 | + | 6.65620i | 0.123645 | + | 0.214160i | ||||
\(967\) | 22.2996 | − | 38.6241i | 0.717108 | − | 1.24207i | −0.245032 | − | 0.969515i | \(-0.578799\pi\) |
0.962141 | − | 0.272553i | \(-0.0878681\pi\) | |||||||
\(968\) | −6.64157 | − | 7.37621i | −0.213468 | − | 0.237080i | ||||
\(969\) | 2.50667 | + | 7.71475i | 0.0805260 | + | 0.247833i | ||||
\(970\) | 9.47630 | − | 10.5245i | 0.304266 | − | 0.337921i | ||||
\(971\) | −36.1329 | − | 16.0874i | −1.15956 | − | 0.516269i | −0.265453 | − | 0.964124i | \(-0.585521\pi\) |
−0.894106 | + | 0.447855i | \(0.852188\pi\) | |||||||
\(972\) | −0.978148 | + | 0.207912i | −0.0313741 | + | 0.00666877i | ||||
\(973\) | 2.00931 | + | 19.1173i | 0.0644154 | + | 0.612872i | ||||
\(974\) | 1.40170 | − | 13.3363i | 0.0449133 | − | 0.427322i | ||||
\(975\) | −2.26287 | − | 0.480988i | −0.0724699 | − | 0.0154040i | ||||
\(976\) | −5.73772 | − | 4.16870i | −0.183660 | − | 0.133437i | ||||
\(977\) | 2.93787 | + | 2.13449i | 0.0939908 | + | 0.0682883i | 0.633788 | − | 0.773507i | \(-0.281499\pi\) |
−0.539797 | + | 0.841795i | \(0.681499\pi\) | |||||||
\(978\) | 11.9207 | + | 2.53381i | 0.381180 | + | 0.0810224i | ||||
\(979\) | −0.797430 | + | 7.58704i | −0.0254860 | + | 0.242483i | ||||
\(980\) | −0.508195 | − | 4.83515i | −0.0162337 | − | 0.154453i | ||||
\(981\) | −2.73711 | + | 0.581791i | −0.0873893 | + | 0.0185752i | ||||
\(982\) | −24.0157 | − | 10.6925i | −0.766370 | − | 0.341210i | ||||
\(983\) | 2.39379 | − | 2.65857i | 0.0763499 | − | 0.0847952i | −0.703759 | − | 0.710438i | \(-0.748497\pi\) |
0.780109 | + | 0.625643i | \(0.215163\pi\) | |||||||
\(984\) | 1.16142 | + | 3.57448i | 0.0370246 | + | 0.113950i | ||||
\(985\) | −11.9181 | − | 13.2364i | −0.379742 | − | 0.421746i | ||||
\(986\) | −1.87742 | + | 3.25179i | −0.0597892 | + | 0.103558i | ||||
\(987\) | −0.338753 | − | 0.586737i | −0.0107826 | − | 0.0186761i | ||||
\(988\) | −4.92573 | + | 15.1598i | −0.156708 | + | 0.482298i | ||||
\(989\) | −9.17227 | + | 4.08376i | −0.291661 | + | 0.129856i | ||||
\(990\) | −0.838547 | + | 0.609240i | −0.0266508 | + | 0.0193629i | ||||
\(991\) | 25.0116 | 0.794519 | 0.397260 | − | 0.917706i | \(-0.369961\pi\) | ||||
0.397260 | + | 0.917706i | \(0.369961\pi\) | |||||||
\(992\) | 4.38497 | + | 3.43104i | 0.139223 | + | 0.108936i | ||||
\(993\) | −0.439612 | −0.0139507 | ||||||||
\(994\) | −19.1660 | + | 13.9249i | −0.607908 | + | 0.441671i | ||||
\(995\) | 13.4016 | − | 5.96680i | 0.424861 | − | 0.189160i | ||||
\(996\) | 1.93636 | − | 5.95950i | 0.0613559 | − | 0.188834i | ||||
\(997\) | 26.9384 | + | 46.6586i | 0.853147 | + | 1.47769i | 0.878353 | + | 0.478012i | \(0.158642\pi\) |
−0.0252062 | + | 0.999682i | \(0.508024\pi\) | |||||||
\(998\) | −14.0621 | + | 24.3562i | −0.445127 | + | 0.770983i | ||||
\(999\) | 4.97738 | + | 5.52795i | 0.157477 | + | 0.174896i |
(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 | 930.2.bg.d.421.2 | yes | 16 | |
31.19 | even | 15 | inner | 930.2.bg.d.391.2 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.d.391.2 | ✓ | 16 | 31.19 | even | 15 | inner | |
930.2.bg.d.421.2 | yes | 16 | 1.1 | even | 1 | trivial |