Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.7 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.7 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28283 | − | 0.595266i | −0.907099 | − | 0.420916i | ||||
\(3\) | −1.29613 | + | 0.536874i | −0.748320 | + | 0.309964i | −0.724056 | − | 0.689741i | \(-0.757724\pi\) |
−0.0242641 | + | 0.999706i | \(0.507724\pi\) | |||||||
\(4\) | 1.29132 | + | 1.52725i | 0.645659 | + | 0.763626i | ||||
\(5\) | −0.0161519 | + | 0.0389942i | −0.00722336 | + | 0.0174387i | −0.927450 | − | 0.373947i | \(-0.878004\pi\) |
0.920227 | + | 0.391386i | \(0.128004\pi\) | |||||||
\(6\) | 1.98230 | + | 0.0828216i | 0.809270 | + | 0.0338118i | ||||
\(7\) | −1.32535 | − | 1.32535i | −0.500935 | − | 0.500935i | 0.410793 | − | 0.911728i | \(-0.365252\pi\) |
−0.911728 | + | 0.410793i | \(0.865252\pi\) | |||||||
\(8\) | −0.747423 | − | 2.72789i | −0.264254 | − | 0.964453i | ||||
\(9\) | −0.729605 | + | 0.729605i | −0.243202 | + | 0.243202i | ||||
\(10\) | 0.0439321 | − | 0.0404083i | 0.0138926 | − | 0.0127782i | ||||
\(11\) | 1.89557 | + | 0.785171i | 0.571536 | + | 0.236738i | 0.649685 | − | 0.760204i | \(-0.274901\pi\) |
−0.0781487 | + | 0.996942i | \(0.524901\pi\) | |||||||
\(12\) | −2.49366 | − | 1.28624i | −0.719856 | − | 0.371306i | ||||
\(13\) | −0.382683 | − | 0.923880i | −0.106137 | − | 0.256238i | ||||
\(14\) | 0.911266 | + | 2.48914i | 0.243546 | + | 0.665250i | ||||
\(15\) | − | 0.0592130i | − | 0.0152887i | ||||||
\(16\) | −0.664999 | + | 3.94433i | −0.166250 | + | 0.986084i | ||||
\(17\) | 1.34055i | 0.325131i | 0.986698 | + | 0.162566i | \(0.0519769\pi\) | ||||
−0.986698 | + | 0.162566i | \(0.948023\pi\) | |||||||
\(18\) | 1.37027 | − | 0.501652i | 0.322976 | − | 0.118241i | ||||
\(19\) | −2.70360 | − | 6.52708i | −0.620249 | − | 1.49741i | −0.851411 | − | 0.524499i | \(-0.824253\pi\) |
0.231162 | − | 0.972915i | \(-0.425747\pi\) | |||||||
\(20\) | −0.0804113 | + | 0.0256858i | −0.0179805 | + | 0.00574353i | ||||
\(21\) | 2.42937 | + | 1.00628i | 0.530132 | + | 0.219588i | ||||
\(22\) | −1.96431 | − | 2.13561i | −0.418793 | − | 0.455314i | ||||
\(23\) | 5.88288 | − | 5.88288i | 1.22666 | − | 1.22666i | 0.261446 | − | 0.965218i | \(-0.415801\pi\) |
0.965218 | − | 0.261446i | \(-0.0841995\pi\) | |||||||
\(24\) | 2.43329 | + | 3.13442i | 0.496693 | + | 0.639810i | ||||
\(25\) | 3.53427 | + | 3.53427i | 0.706855 | + | 0.706855i | ||||
\(26\) | −0.0590352 | + | 1.41298i | −0.0115777 | + | 0.277108i | ||||
\(27\) | 2.16458 | − | 5.22575i | 0.416573 | − | 1.00570i | ||||
\(28\) | 0.312696 | − | 3.73559i | 0.0590940 | − | 0.705960i | ||||
\(29\) | 4.57960 | − | 1.89693i | 0.850411 | − | 0.352252i | 0.0854609 | − | 0.996342i | \(-0.472764\pi\) |
0.764950 | + | 0.644090i | \(0.222764\pi\) | |||||||
\(30\) | −0.0352475 | + | 0.0759604i | −0.00643528 | + | 0.0138684i | ||||
\(31\) | −10.5676 | −1.89799 | −0.948996 | − | 0.315287i | \(-0.897899\pi\) | ||||
−0.948996 | + | 0.315287i | \(0.897899\pi\) | |||||||
\(32\) | 3.20101 | − | 4.66407i | 0.565864 | − | 0.824499i | ||||
\(33\) | −2.87844 | −0.501072 | ||||||||
\(34\) | 0.797984 | − | 1.71970i | 0.136853 | − | 0.294926i | ||||
\(35\) | 0.0730879 | − | 0.0302740i | 0.0123541 | − | 0.00511724i | ||||
\(36\) | −2.05644 | − | 0.172139i | −0.342741 | − | 0.0286899i | ||||
\(37\) | 3.95787 | − | 9.55514i | 0.650669 | − | 1.57085i | −0.161140 | − | 0.986932i | \(-0.551517\pi\) |
0.811809 | − | 0.583923i | \(-0.198483\pi\) | |||||||
\(38\) | −0.417075 | + | 9.98251i | −0.0676585 | + | 1.61938i | ||||
\(39\) | 0.992014 | + | 0.992014i | 0.158849 | + | 0.158849i | ||||
\(40\) | 0.118444 | + | 0.0149155i | 0.0187276 | + | 0.00235834i | ||||
\(41\) | 0.832456 | − | 0.832456i | 0.130008 | − | 0.130008i | −0.639109 | − | 0.769116i | \(-0.720697\pi\) |
0.769116 | + | 0.639109i | \(0.220697\pi\) | |||||||
\(42\) | −2.51747 | − | 2.73701i | −0.388454 | − | 0.422329i | ||||
\(43\) | −5.45370 | − | 2.25900i | −0.831682 | − | 0.344494i | −0.0741135 | − | 0.997250i | \(-0.523613\pi\) |
−0.757568 | + | 0.652756i | \(0.773613\pi\) | |||||||
\(44\) | 1.24863 | + | 3.90892i | 0.188238 | + | 0.589292i | ||||
\(45\) | −0.0166658 | − | 0.0402349i | −0.00248440 | − | 0.00599787i | ||||
\(46\) | −11.0486 | + | 4.04487i | −1.62903 | + | 0.596383i | ||||
\(47\) | − | 9.83174i | − | 1.43411i | −0.697018 | − | 0.717053i | \(-0.745490\pi\) | ||
0.697018 | − | 0.717053i | \(-0.254510\pi\) | |||||||
\(48\) | −1.25569 | − | 5.46938i | −0.181243 | − | 0.789438i | ||||
\(49\) | − | 3.48690i | − | 0.498128i | ||||||
\(50\) | −2.43005 | − | 6.63771i | −0.343661 | − | 0.938714i | ||||
\(51\) | −0.719706 | − | 1.73753i | −0.100779 | − | 0.243302i | ||||
\(52\) | 0.916831 | − | 1.77748i | 0.127142 | − | 0.246492i | ||||
\(53\) | −1.23167 | − | 0.510176i | −0.169183 | − | 0.0700780i | 0.296484 | − | 0.955038i | \(-0.404186\pi\) |
−0.465668 | + | 0.884960i | \(0.654186\pi\) | |||||||
\(54\) | −5.88750 | + | 5.41527i | −0.801188 | + | 0.736924i | ||||
\(55\) | −0.0612342 | + | 0.0612342i | −0.00825682 | + | 0.00825682i | ||||
\(56\) | −2.62481 | + | 4.60600i | −0.350754 | + | 0.615503i | ||||
\(57\) | 7.00844 | + | 7.00844i | 0.928290 | + | 0.928290i | ||||
\(58\) | −7.00404 | − | 0.292633i | −0.919676 | − | 0.0384246i | ||||
\(59\) | 1.13736 | − | 2.74583i | 0.148072 | − | 0.357477i | −0.832389 | − | 0.554192i | \(-0.813027\pi\) |
0.980461 | + | 0.196715i | \(0.0630273\pi\) | |||||||
\(60\) | 0.0904333 | − | 0.0764628i | 0.0116749 | − | 0.00987131i | ||||
\(61\) | −1.89068 | + | 0.783145i | −0.242077 | + | 0.100272i | −0.500423 | − | 0.865781i | \(-0.666822\pi\) |
0.258347 | + | 0.966052i | \(0.416822\pi\) | |||||||
\(62\) | 13.5564 | + | 6.29052i | 1.72167 | + | 0.798896i | ||||
\(63\) | 1.93396 | 0.243657 | ||||||||
\(64\) | −6.88272 | + | 4.07777i | −0.860340 | + | 0.509721i | ||||
\(65\) | 0.0422070 | 0.00523514 | ||||||||
\(66\) | 3.69256 | + | 1.71344i | 0.454522 | + | 0.210910i | ||||
\(67\) | 6.95916 | − | 2.88258i | 0.850196 | − | 0.352163i | 0.0853308 | − | 0.996353i | \(-0.472805\pi\) |
0.764866 | + | 0.644190i | \(0.222805\pi\) | |||||||
\(68\) | −2.04736 | + | 1.73108i | −0.248279 | + | 0.209924i | ||||
\(69\) | −4.46660 | + | 10.7833i | −0.537715 | + | 1.29816i | ||||
\(70\) | −0.111781 | − | 0.00467026i | −0.0133603 | − | 0.000558203i | ||||
\(71\) | 11.2976 | + | 11.2976i | 1.34078 | + | 1.34078i | 0.895283 | + | 0.445498i | \(0.146973\pi\) |
0.445498 | + | 0.895283i | \(0.353027\pi\) | |||||||
\(72\) | 2.53560 | + | 1.44496i | 0.298824 | + | 0.170290i | ||||
\(73\) | −8.14583 | + | 8.14583i | −0.953398 | + | 0.953398i | −0.998961 | − | 0.0455638i | \(-0.985492\pi\) |
0.0455638 | + | 0.998961i | \(0.485492\pi\) | |||||||
\(74\) | −10.7651 | + | 9.90165i | −1.25142 | + | 1.15104i | ||||
\(75\) | −6.47833 | − | 2.68341i | −0.748053 | − | 0.309854i | ||||
\(76\) | 6.47728 | − | 12.5576i | 0.742995 | − | 1.44046i | ||||
\(77\) | −1.47167 | − | 3.55292i | −0.167712 | − | 0.404893i | ||||
\(78\) | −0.682075 | − | 1.86310i | −0.0772298 | − | 0.210954i | ||||
\(79\) | 8.18759i | 0.921176i | 0.887614 | + | 0.460588i | \(0.152361\pi\) | ||||
−0.887614 | + | 0.460588i | \(0.847639\pi\) | |||||||
\(80\) | −0.143065 | − | 0.0896397i | −0.0159952 | − | 0.0100220i | ||||
\(81\) | 4.83990i | 0.537767i | ||||||||
\(82\) | −1.56343 | + | 0.572369i | −0.172652 | + | 0.0632076i | ||||
\(83\) | −2.92068 | − | 7.05114i | −0.320586 | − | 0.773963i | −0.999220 | − | 0.0394868i | \(-0.987428\pi\) |
0.678634 | − | 0.734477i | \(-0.262572\pi\) | |||||||
\(84\) | 1.60025 | + | 5.00968i | 0.174601 | + | 0.546601i | ||||
\(85\) | −0.0522737 | − | 0.0216525i | −0.00566988 | − | 0.00234854i | ||||
\(86\) | 5.65148 | + | 6.14432i | 0.609415 | + | 0.662559i | ||||
\(87\) | −4.91734 | + | 4.91734i | −0.527194 | + | 0.527194i | ||||
\(88\) | 0.725064 | − | 5.75775i | 0.0772921 | − | 0.613779i | ||||
\(89\) | 8.00087 | + | 8.00087i | 0.848090 | + | 0.848090i | 0.989895 | − | 0.141804i | \(-0.0452904\pi\) |
−0.141804 | + | 0.989895i | \(0.545290\pi\) | |||||||
\(90\) | −0.00257098 | + | 0.0615353i | −0.000271005 | + | 0.00648639i | ||||
\(91\) | −0.717274 | + | 1.73165i | −0.0751908 | + | 0.181527i | ||||
\(92\) | 16.5813 | + | 1.38798i | 1.72872 | + | 0.144706i | ||||
\(93\) | 13.6969 | − | 5.67346i | 1.42031 | − | 0.588310i | ||||
\(94\) | −5.85250 | + | 12.6125i | −0.603639 | + | 1.30088i | ||||
\(95\) | 0.298187 | 0.0305933 | ||||||||
\(96\) | −1.64490 | + | 7.76377i | −0.167882 | + | 0.792387i | ||||
\(97\) | 7.38415 | 0.749747 | 0.374873 | − | 0.927076i | \(-0.377686\pi\) | ||||
0.374873 | + | 0.927076i | \(0.377686\pi\) | |||||||
\(98\) | −2.07563 | + | 4.47310i | −0.209670 | + | 0.451852i | ||||
\(99\) | −1.95588 | + | 0.810153i | −0.196574 | + | 0.0814235i | ||||
\(100\) | −0.833858 | + | 9.96160i | −0.0833858 | + | 0.996160i | ||||
\(101\) | 0.580319 | − | 1.40101i | 0.0577439 | − | 0.139406i | −0.892374 | − | 0.451296i | \(-0.850962\pi\) |
0.950118 | + | 0.311890i | \(0.100962\pi\) | |||||||
\(102\) | −0.111026 | + | 2.65737i | −0.0109933 | + | 0.263119i | ||||
\(103\) | 2.65966 | + | 2.65966i | 0.262064 | + | 0.262064i | 0.825892 | − | 0.563828i | \(-0.190672\pi\) |
−0.563828 | + | 0.825892i | \(0.690672\pi\) | |||||||
\(104\) | −2.23421 | + | 1.73445i | −0.219082 | + | 0.170076i | ||||
\(105\) | −0.0784780 | + | 0.0784780i | −0.00765867 | + | 0.00765867i | ||||
\(106\) | 1.27634 | + | 1.38764i | 0.123969 | + | 0.134780i | ||||
\(107\) | −1.97123 | − | 0.816508i | −0.190566 | − | 0.0789348i | 0.285360 | − | 0.958420i | \(-0.407887\pi\) |
−0.475926 | + | 0.879486i | \(0.657887\pi\) | |||||||
\(108\) | 10.7762 | − | 3.44225i | 1.03694 | − | 0.331231i | ||||
\(109\) | −5.04573 | − | 12.1815i | −0.483293 | − | 1.16677i | −0.958036 | − | 0.286648i | \(-0.907459\pi\) |
0.474743 | − | 0.880125i | \(-0.342541\pi\) | |||||||
\(110\) | 0.115004 | − | 0.0421026i | 0.0109652 | − | 0.00401433i | ||||
\(111\) | 14.5096i | 1.37719i | ||||||||
\(112\) | 6.10898 | − | 4.34627i | 0.577244 | − | 0.410684i | ||||
\(113\) | 1.72305i | 0.162091i | 0.996710 | + | 0.0810453i | \(0.0258259\pi\) | ||||
−0.996710 | + | 0.0810453i | \(0.974174\pi\) | |||||||
\(114\) | −4.81877 | − | 13.1625i | −0.451319 | − | 1.23278i | ||||
\(115\) | 0.134378 | + | 0.324418i | 0.0125308 | + | 0.0302521i | ||||
\(116\) | 8.81082 | + | 4.54466i | 0.818064 | + | 0.421962i | ||||
\(117\) | 0.953275 | + | 0.394860i | 0.0881303 | + | 0.0365048i | ||||
\(118\) | −3.09355 | + | 2.84541i | −0.284784 | + | 0.261941i | ||||
\(119\) | 1.77670 | − | 1.77670i | 0.162870 | − | 0.162870i | ||||
\(120\) | −0.161526 | + | 0.0442572i | −0.0147453 | + | 0.00404011i | ||||
\(121\) | −4.80148 | − | 4.80148i | −0.436498 | − | 0.436498i | ||||
\(122\) | 2.89161 | + | 0.120813i | 0.261794 | + | 0.0109379i | ||||
\(123\) | −0.632046 | + | 1.52589i | −0.0569897 | + | 0.137585i | ||||
\(124\) | −13.6461 | − | 16.1394i | −1.22546 | − | 1.44936i | ||||
\(125\) | −0.389873 | + | 0.161491i | −0.0348713 | + | 0.0144442i | ||||
\(126\) | −2.48095 | − | 1.15122i | −0.221021 | − | 0.102559i | ||||
\(127\) | −9.54264 | −0.846772 | −0.423386 | − | 0.905949i | \(-0.639159\pi\) | ||||
−0.423386 | + | 0.905949i | \(0.639159\pi\) | |||||||
\(128\) | 11.2567 | − | 1.13405i | 0.994964 | − | 0.100236i | ||||
\(129\) | 8.28149 | 0.729145 | ||||||||
\(130\) | −0.0541445 | − | 0.0251244i | −0.00474879 | − | 0.00220356i | ||||
\(131\) | −20.0972 | + | 8.32454i | −1.75590 | + | 0.727319i | −0.758794 | + | 0.651331i | \(0.774211\pi\) |
−0.997109 | + | 0.0759882i | \(0.975789\pi\) | |||||||
\(132\) | −3.71698 | − | 4.39610i | −0.323522 | − | 0.382632i | ||||
\(133\) | −5.06744 | + | 12.2339i | −0.439403 | + | 1.06081i | ||||
\(134\) | −10.6433 | − | 0.444685i | −0.919444 | − | 0.0384149i | ||||
\(135\) | 0.168812 | + | 0.168812i | 0.0145290 | + | 0.0145290i | ||||
\(136\) | 3.65687 | − | 1.00196i | 0.313574 | − | 0.0859172i | ||||
\(137\) | −11.9526 | + | 11.9526i | −1.02118 | + | 1.02118i | −0.0214118 | + | 0.999771i | \(0.506816\pi\) |
−0.999771 | + | 0.0214118i | \(0.993184\pi\) | |||||||
\(138\) | 12.1488 | − | 11.1744i | 1.03418 | − | 0.951227i | ||||
\(139\) | −6.36772 | − | 2.63760i | −0.540103 | − | 0.223718i | 0.0959185 | − | 0.995389i | \(-0.469421\pi\) |
−0.636022 | + | 0.771671i | \(0.719421\pi\) | |||||||
\(140\) | 0.140616 | + | 0.0725303i | 0.0118842 | + | 0.00612993i | ||||
\(141\) | 5.27841 | + | 12.7432i | 0.444522 | + | 1.07317i | ||||
\(142\) | −7.76787 | − | 21.2180i | −0.651865 | − | 1.78058i | ||||
\(143\) | − | 2.05175i | − | 0.171576i | ||||||
\(144\) | −2.39262 | − | 3.36299i | −0.199385 | − | 0.280249i | ||||
\(145\) | 0.209217i | 0.0173745i | ||||||||
\(146\) | 15.2987 | − | 5.60080i | 1.26613 | − | 0.463526i | ||||
\(147\) | 1.87202 | + | 4.51946i | 0.154402 | + | 0.372759i | ||||
\(148\) | 19.7040 | − | 6.29405i | 1.61966 | − | 0.517368i | ||||
\(149\) | 1.05874 | + | 0.438544i | 0.0867352 | + | 0.0359269i | 0.425629 | − | 0.904898i | \(-0.360053\pi\) |
−0.338894 | + | 0.940825i | \(0.610053\pi\) | |||||||
\(150\) | 6.71327 | + | 7.29870i | 0.548136 | + | 0.595936i | ||||
\(151\) | 13.7039 | − | 13.7039i | 1.11521 | − | 1.11521i | 0.122777 | − | 0.992434i | \(-0.460820\pi\) |
0.992434 | − | 0.122777i | \(-0.0391800\pi\) | |||||||
\(152\) | −15.7844 | + | 12.2536i | −1.28028 | + | 0.993899i | ||||
\(153\) | −0.978073 | − | 0.978073i | −0.0790725 | − | 0.0790725i | ||||
\(154\) | −0.227029 | + | 5.43383i | −0.0182945 | + | 0.437871i | ||||
\(155\) | 0.170687 | − | 0.412074i | 0.0137099 | − | 0.0330986i | ||||
\(156\) | −0.234051 | + | 2.79606i | −0.0187390 | + | 0.223864i | ||||
\(157\) | 11.5135 | − | 4.76907i | 0.918881 | − | 0.380613i | 0.127431 | − | 0.991847i | \(-0.459327\pi\) |
0.791450 | + | 0.611234i | \(0.209327\pi\) | |||||||
\(158\) | 4.87379 | − | 10.5033i | 0.387738 | − | 0.835598i | ||||
\(159\) | 1.87031 | 0.148325 | ||||||||
\(160\) | 0.130169 | + | 0.200155i | 0.0102908 | + | 0.0158236i | ||||
\(161\) | −15.5937 | −1.22896 | ||||||||
\(162\) | 2.88103 | − | 6.20878i | 0.226355 | − | 0.487808i | ||||
\(163\) | −17.9956 | + | 7.45403i | −1.40953 | + | 0.583845i | −0.952206 | − | 0.305457i | \(-0.901191\pi\) |
−0.457320 | + | 0.889302i | \(0.651191\pi\) | |||||||
\(164\) | 2.34634 | + | 0.196405i | 0.183218 | + | 0.0153367i | ||||
\(165\) | 0.0464924 | − | 0.112243i | 0.00361943 | − | 0.00873807i | ||||
\(166\) | −0.450562 | + | 10.7840i | −0.0349704 | + | 0.837002i | ||||
\(167\) | 2.12801 | + | 2.12801i | 0.164670 | + | 0.164670i | 0.784632 | − | 0.619962i | \(-0.212852\pi\) |
−0.619962 | + | 0.784632i | \(0.712852\pi\) | |||||||
\(168\) | 0.929244 | − | 7.37916i | 0.0716928 | − | 0.569314i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | 0.0541694 | + | 0.0588932i | 0.00415460 | + | 0.00451690i | ||||
\(171\) | 6.73475 | + | 2.78963i | 0.515019 | + | 0.213328i | ||||
\(172\) | −3.59240 | − | 11.2463i | −0.273918 | − | 0.857519i | ||||
\(173\) | −4.16552 | − | 10.0565i | −0.316698 | − | 0.764578i | −0.999425 | − | 0.0339039i | \(-0.989206\pi\) |
0.682727 | − | 0.730674i | \(-0.260794\pi\) | |||||||
\(174\) | 9.23524 | − | 3.38100i | 0.700122 | − | 0.256313i | ||||
\(175\) | − | 9.36830i | − | 0.708177i | ||||||
\(176\) | −4.35753 | + | 6.95463i | −0.328461 | + | 0.524225i | ||||
\(177\) | 4.16957i | 0.313404i | ||||||||
\(178\) | −5.50113 | − | 15.0264i | −0.412327 | − | 1.12628i | ||||
\(179\) | 2.98859 | + | 7.21510i | 0.223378 | + | 0.539282i | 0.995344 | − | 0.0963813i | \(-0.0307268\pi\) |
−0.771967 | + | 0.635663i | \(0.780727\pi\) | |||||||
\(180\) | 0.0399280 | − | 0.0774090i | 0.00297605 | − | 0.00576973i | ||||
\(181\) | 16.3307 | + | 6.76440i | 1.21385 | + | 0.502794i | 0.895450 | − | 0.445162i | \(-0.146854\pi\) |
0.318402 | + | 0.947956i | \(0.396854\pi\) | |||||||
\(182\) | 1.95094 | − | 1.79445i | 0.144613 | − | 0.133014i | ||||
\(183\) | 2.03011 | − | 2.03011i | 0.150070 | − | 0.150070i | ||||
\(184\) | −20.4448 | − | 11.6508i | −1.50721 | − | 0.858910i | ||||
\(185\) | 0.308668 | + | 0.308668i | 0.0226937 | + | 0.0226937i | ||||
\(186\) | −20.9481 | − | 0.875223i | −1.53599 | − | 0.0641745i | ||||
\(187\) | −1.05256 | + | 2.54111i | −0.0769709 | + | 0.185824i | ||||
\(188\) | 15.0155 | − | 12.6959i | 1.09512 | − | 0.925943i | ||||
\(189\) | −9.79477 | + | 4.05713i | −0.712465 | + | 0.295113i | ||||
\(190\) | −0.382523 | − | 0.177500i | −0.0277512 | − | 0.0128772i | ||||
\(191\) | −2.70165 | −0.195484 | −0.0977421 | − | 0.995212i | \(-0.531162\pi\) | ||||
−0.0977421 | + | 0.995212i | \(0.531162\pi\) | |||||||
\(192\) | 6.73164 | − | 8.98046i | 0.485814 | − | 0.648109i | ||||
\(193\) | −25.3193 | −1.82252 | −0.911262 | − | 0.411827i | \(-0.864891\pi\) | ||||
−0.911262 | + | 0.411827i | \(0.864891\pi\) | |||||||
\(194\) | −9.47263 | − | 4.39553i | −0.680095 | − | 0.315581i | ||||
\(195\) | −0.0547057 | + | 0.0226599i | −0.00391756 | + | 0.00162271i | ||||
\(196\) | 5.32537 | − | 4.50269i | 0.380383 | − | 0.321621i | ||||
\(197\) | 7.75694 | − | 18.7269i | 0.552659 | − | 1.33424i | −0.362816 | − | 0.931861i | \(-0.618185\pi\) |
0.915475 | − | 0.402376i | \(-0.131815\pi\) | |||||||
\(198\) | 2.99133 | + | 0.124979i | 0.212584 | + | 0.00888190i | ||||
\(199\) | 5.61537 | + | 5.61537i | 0.398063 | + | 0.398063i | 0.877549 | − | 0.479486i | \(-0.159177\pi\) |
−0.479486 | + | 0.877549i | \(0.659177\pi\) | |||||||
\(200\) | 6.99950 | − | 12.2827i | 0.494939 | − | 0.868518i | ||||
\(201\) | −7.47238 | + | 7.47238i | −0.527061 | + | 0.527061i | ||||
\(202\) | −1.57843 | + | 1.45182i | −0.111058 | + | 0.102150i | ||||
\(203\) | −8.58368 | − | 3.55547i | −0.602456 | − | 0.249545i | ||||
\(204\) | 1.72427 | − | 3.34287i | 0.120723 | − | 0.234048i | ||||
\(205\) | 0.0190152 | + | 0.0459067i | 0.00132808 | + | 0.00320627i | ||||
\(206\) | −1.82869 | − | 4.99510i | −0.127411 | − | 0.348025i | ||||
\(207\) | 8.58435i | 0.596654i | ||||||||
\(208\) | 3.89857 | − | 0.895053i | 0.270317 | − | 0.0620608i | ||||
\(209\) | − | 14.4953i | − | 1.00266i | ||||||
\(210\) | 0.147389 | − | 0.0539589i | 0.0101708 | − | 0.00372351i | ||||
\(211\) | 0.583737 | + | 1.40926i | 0.0401861 | + | 0.0970178i | 0.942698 | − | 0.333647i | \(-0.108279\pi\) |
−0.902512 | + | 0.430664i | \(0.858279\pi\) | |||||||
\(212\) | −0.811314 | − | 2.53987i | −0.0557213 | − | 0.174439i | ||||
\(213\) | −20.7086 | − | 8.57777i | −1.41893 | − | 0.587739i | ||||
\(214\) | 2.04271 | + | 2.22085i | 0.139637 | + | 0.151814i | ||||
\(215\) | 0.176176 | − | 0.176176i | 0.0120151 | − | 0.0120151i | ||||
\(216\) | −15.8731 | − | 1.99887i | −1.08003 | − | 0.136006i | ||||
\(217\) | 14.0057 | + | 14.0057i | 0.950771 | + | 0.950771i | ||||
\(218\) | −0.778386 | + | 18.6303i | −0.0527189 | + | 1.26180i | ||||
\(219\) | 6.18476 | − | 14.9313i | 0.417927 | − | 1.00897i | ||||
\(220\) | −0.172593 | − | 0.0144473i | −0.0116362 | − | 0.000974036i | ||||
\(221\) | 1.23851 | − | 0.513006i | 0.0833110 | − | 0.0345085i | ||||
\(222\) | 8.63704 | − | 18.6133i | 0.579680 | − | 1.24924i | ||||
\(223\) | 8.84032 | 0.591992 | 0.295996 | − | 0.955189i | \(-0.404349\pi\) | ||||
0.295996 | + | 0.955189i | \(0.404349\pi\) | |||||||
\(224\) | −10.4240 | + | 1.93907i | −0.696481 | + | 0.129559i | ||||
\(225\) | −5.15725 | −0.343817 | ||||||||
\(226\) | 1.02567 | − | 2.21038i | 0.0682266 | − | 0.147032i | ||||
\(227\) | 18.3475 | − | 7.59977i | 1.21776 | − | 0.504414i | 0.321066 | − | 0.947057i | \(-0.395959\pi\) |
0.896698 | + | 0.442643i | \(0.145959\pi\) | |||||||
\(228\) | −1.65353 | + | 19.7538i | −0.109508 | + | 1.30822i | ||||
\(229\) | −4.77667 | + | 11.5319i | −0.315651 | + | 0.762049i | 0.683824 | + | 0.729647i | \(0.260316\pi\) |
−0.999475 | + | 0.0324021i | \(0.989684\pi\) | |||||||
\(230\) | 0.0207300 | − | 0.496165i | 0.00136690 | − | 0.0327161i | ||||
\(231\) | 3.81494 | + | 3.81494i | 0.251005 | + | 0.251005i | ||||
\(232\) | −8.59752 | − | 11.0748i | −0.564455 | − | 0.727097i | ||||
\(233\) | 6.10499 | − | 6.10499i | 0.399951 | − | 0.399951i | −0.478265 | − | 0.878216i | \(-0.658734\pi\) |
0.878216 | + | 0.478265i | \(0.158734\pi\) | |||||||
\(234\) | −0.987846 | − | 1.07399i | −0.0645775 | − | 0.0702090i | ||||
\(235\) | 0.383381 | + | 0.158802i | 0.0250090 | + | 0.0103591i | ||||
\(236\) | 5.66228 | − | 1.80871i | 0.368583 | − | 0.117737i | ||||
\(237\) | −4.39570 | − | 10.6122i | −0.285532 | − | 0.689334i | ||||
\(238\) | −3.33681 | + | 1.22160i | −0.216293 | + | 0.0791845i | ||||
\(239\) | 1.77849i | 0.115041i | 0.998344 | + | 0.0575205i | \(0.0183194\pi\) | ||||
−0.998344 | + | 0.0575205i | \(0.981681\pi\) | |||||||
\(240\) | 0.233556 | + | 0.0393766i | 0.0150760 | + | 0.00254175i | ||||
\(241\) | − | 14.6732i | − | 0.945182i | −0.881282 | − | 0.472591i | \(-0.843319\pi\) | ||
0.881282 | − | 0.472591i | \(-0.156681\pi\) | |||||||
\(242\) | 3.30134 | + | 9.01765i | 0.212218 | + | 0.579677i | ||||
\(243\) | 3.89532 | + | 9.40413i | 0.249885 | + | 0.603275i | ||||
\(244\) | −3.63753 | − | 1.87626i | −0.232869 | − | 0.120115i | ||||
\(245\) | 0.135969 | + | 0.0563201i | 0.00868672 | + | 0.00359816i | ||||
\(246\) | 1.71912 | − | 1.58123i | 0.109607 | − | 0.100816i | ||||
\(247\) | −4.99561 | + | 4.99561i | −0.317863 | + | 0.317863i | ||||
\(248\) | 7.89845 | + | 28.8271i | 0.501552 | + | 1.83052i | ||||
\(249\) | 7.57115 | + | 7.57115i | 0.479802 | + | 0.479802i | ||||
\(250\) | 0.596271 | + | 0.0249125i | 0.0377115 | + | 0.00157561i | ||||
\(251\) | 7.62041 | − | 18.3973i | 0.480996 | − | 1.16123i | −0.478141 | − | 0.878283i | \(-0.658689\pi\) |
0.959137 | − | 0.282943i | \(-0.0913109\pi\) | |||||||
\(252\) | 2.49736 | + | 2.95365i | 0.157319 | + | 0.186063i | ||||
\(253\) | 15.7705 | − | 6.53234i | 0.991481 | − | 0.410685i | ||||
\(254\) | 12.2416 | + | 5.68040i | 0.768107 | + | 0.356420i | ||||
\(255\) | 0.0793781 | 0.00497085 | ||||||||
\(256\) | −15.1156 | − | 5.24595i | −0.944722 | − | 0.327872i | ||||
\(257\) | −17.4429 | −1.08806 | −0.544030 | − | 0.839066i | \(-0.683102\pi\) | ||||
−0.544030 | + | 0.839066i | \(0.683102\pi\) | |||||||
\(258\) | −10.6238 | − | 4.92969i | −0.661407 | − | 0.306909i | ||||
\(259\) | −17.9095 | + | 7.41834i | −1.11284 | + | 0.460953i | ||||
\(260\) | 0.0545027 | + | 0.0644608i | 0.00338011 | + | 0.00399769i | ||||
\(261\) | −1.95729 | + | 4.72531i | −0.121153 | + | 0.292490i | ||||
\(262\) | 30.7367 | + | 1.28420i | 1.89892 | + | 0.0793379i | ||||
\(263\) | 4.25638 | + | 4.25638i | 0.262460 | + | 0.262460i | 0.826053 | − | 0.563593i | \(-0.190581\pi\) |
−0.563593 | + | 0.826053i | \(0.690581\pi\) | |||||||
\(264\) | 2.15141 | + | 7.85206i | 0.132410 | + | 0.483261i | ||||
\(265\) | 0.0397878 | − | 0.0397878i | 0.00244414 | − | 0.00244414i | ||||
\(266\) | 13.7831 | − | 12.6775i | 0.845095 | − | 0.777310i | ||||
\(267\) | −14.6656 | − | 6.07469i | −0.897521 | − | 0.371765i | ||||
\(268\) | 13.3889 | + | 6.90607i | 0.817858 | + | 0.421855i | ||||
\(269\) | −4.37648 | − | 10.5658i | −0.266839 | − | 0.644206i | 0.732492 | − | 0.680775i | \(-0.238357\pi\) |
−0.999331 | + | 0.0365693i | \(0.988357\pi\) | |||||||
\(270\) | −0.116069 | − | 0.317045i | −0.00706376 | − | 0.0192948i | ||||
\(271\) | − | 14.4536i | − | 0.877994i | −0.898489 | − | 0.438997i | \(-0.855334\pi\) | ||
0.898489 | − | 0.438997i | \(-0.144666\pi\) | |||||||
\(272\) | −5.28758 | − | 0.891464i | −0.320607 | − | 0.0540529i | ||||
\(273\) | − | 2.62953i | − | 0.159146i | ||||||
\(274\) | 22.4482 | − | 8.21823i | 1.35615 | − | 0.496482i | ||||
\(275\) | 3.92446 | + | 9.47448i | 0.236654 | + | 0.571332i | ||||
\(276\) | −22.2367 | + | 7.10307i | −1.33849 | + | 0.427555i | ||||
\(277\) | 13.9658 | + | 5.78484i | 0.839125 | + | 0.347577i | 0.760509 | − | 0.649328i | \(-0.224950\pi\) |
0.0786167 | + | 0.996905i | \(0.474950\pi\) | |||||||
\(278\) | 6.59865 | + | 7.17408i | 0.395761 | + | 0.430273i | ||||
\(279\) | 7.71016 | − | 7.71016i | 0.461595 | − | 0.461595i | ||||
\(280\) | −0.137212 | − | 0.176748i | −0.00819996 | − | 0.0105627i | ||||
\(281\) | 1.25022 | + | 1.25022i | 0.0745818 | + | 0.0745818i | 0.743414 | − | 0.668832i | \(-0.233205\pi\) |
−0.668832 | + | 0.743414i | \(0.733205\pi\) | |||||||
\(282\) | 0.814280 | − | 19.4894i | 0.0484897 | − | 1.16058i | ||||
\(283\) | −2.05770 | + | 4.96773i | −0.122318 | + | 0.295301i | −0.973164 | − | 0.230114i | \(-0.926090\pi\) |
0.850846 | + | 0.525415i | \(0.176090\pi\) | |||||||
\(284\) | −2.66550 | + | 31.8431i | −0.158168 | + | 1.88954i | ||||
\(285\) | −0.386488 | + | 0.160089i | −0.0228936 | + | 0.00948283i | ||||
\(286\) | −1.22134 | + | 2.63205i | −0.0722192 | + | 0.155637i | ||||
\(287\) | −2.20659 | −0.130251 | ||||||||
\(288\) | 1.06746 | + | 5.73840i | 0.0629005 | + | 0.338139i | ||||
\(289\) | 15.2029 | 0.894290 | ||||||||
\(290\) | 0.124540 | − | 0.268390i | 0.00731323 | − | 0.0157604i | ||||
\(291\) | −9.57081 | + | 3.96436i | −0.561051 | + | 0.232395i | ||||
\(292\) | −22.9596 | − | 1.92189i | −1.34361 | − | 0.112470i | ||||
\(293\) | −7.98903 | + | 19.2872i | −0.466724 | + | 1.12677i | 0.498860 | + | 0.866682i | \(0.333752\pi\) |
−0.965584 | + | 0.260090i | \(0.916248\pi\) | |||||||
\(294\) | 0.288790 | − | 6.91207i | 0.0168426 | − | 0.403120i | ||||
\(295\) | 0.0887010 | + | 0.0887010i | 0.00516437 | + | 0.00516437i | ||||
\(296\) | −29.0235 | − | 3.65488i | −1.68696 | − | 0.212436i | ||||
\(297\) | 8.20622 | − | 8.20622i | 0.476173 | − | 0.476173i | ||||
\(298\) | −1.09713 | − | 1.19281i | −0.0635552 | − | 0.0690975i | ||||
\(299\) | −7.68635 | − | 3.18379i | −0.444513 | − | 0.184123i | ||||
\(300\) | −4.26734 | − | 13.3592i | −0.246375 | − | 0.771293i | ||||
\(301\) | 4.23410 | + | 10.2220i | 0.244050 | + | 0.589188i | ||||
\(302\) | −25.7374 | + | 9.42237i | −1.48102 | + | 0.542197i | ||||
\(303\) | 2.12745i | 0.122219i | ||||||||
\(304\) | 27.5429 | − | 6.32342i | 1.57969 | − | 0.362673i | ||||
\(305\) | − | 0.0863749i | − | 0.00494581i | ||||||
\(306\) | 0.672490 | + | 1.83692i | 0.0384437 | + | 0.105010i | ||||
\(307\) | 4.55614 | + | 10.9995i | 0.260032 | + | 0.627774i | 0.998940 | − | 0.0460331i | \(-0.0146580\pi\) |
−0.738908 | + | 0.673807i | \(0.764658\pi\) | |||||||
\(308\) | 3.52582 | − | 6.83556i | 0.200902 | − | 0.389492i | ||||
\(309\) | −4.87516 | − | 2.01936i | −0.277338 | − | 0.114877i | ||||
\(310\) | −0.464256 | + | 0.427018i | −0.0263680 | + | 0.0242530i | ||||
\(311\) | 17.7608 | − | 17.7608i | 1.00712 | − | 1.00712i | 0.00714590 | − | 0.999974i | \(-0.497725\pi\) |
0.999974 | − | 0.00714590i | \(-0.00227463\pi\) | |||||||
\(312\) | 1.96465 | − | 3.44755i | 0.111226 | − | 0.195179i | ||||
\(313\) | −17.2201 | − | 17.2201i | −0.973338 | − | 0.973338i | 0.0263154 | − | 0.999654i | \(-0.491623\pi\) |
−0.999654 | + | 0.0263154i | \(0.991623\pi\) | |||||||
\(314\) | −17.6088 | − | 0.735706i | −0.993723 | − | 0.0415183i | ||||
\(315\) | −0.0312373 | + | 0.0754134i | −0.00176002 | + | 0.00424906i | ||||
\(316\) | −12.5045 | + | 10.5728i | −0.703434 | + | 0.594765i | ||||
\(317\) | 20.3875 | − | 8.44477i | 1.14508 | − | 0.474306i | 0.272196 | − | 0.962242i | \(-0.412250\pi\) |
0.872879 | + | 0.487936i | \(0.162250\pi\) | |||||||
\(318\) | −2.39929 | − | 1.11333i | −0.134545 | − | 0.0624324i | ||||
\(319\) | 10.1704 | 0.569432 | ||||||||
\(320\) | −0.0478401 | − | 0.334250i | −0.00267434 | − | 0.0186851i | ||||
\(321\) | 2.99332 | 0.167071 | ||||||||
\(322\) | 20.0041 | + | 9.28242i | 1.11479 | + | 0.517289i | ||||
\(323\) | 8.74987 | − | 3.62432i | 0.486856 | − | 0.201662i | ||||
\(324\) | −7.39175 | + | 6.24985i | −0.410653 | + | 0.347214i | ||||
\(325\) | 1.91274 | − | 4.61775i | 0.106099 | − | 0.256147i | ||||
\(326\) | 27.5225 | + | 1.14991i | 1.52433 | + | 0.0636874i | ||||
\(327\) | 13.0798 | + | 13.0798i | 0.723316 | + | 0.723316i | ||||
\(328\) | −2.89304 | − | 1.64865i | −0.159741 | − | 0.0910314i | ||||
\(329\) | −13.0305 | + | 13.0305i | −0.718394 | + | 0.718394i | ||||
\(330\) | −0.126456 | + | 0.116313i | −0.00696118 | + | 0.00640282i | ||||
\(331\) | 12.3611 | + | 5.12015i | 0.679430 | + | 0.281429i | 0.695589 | − | 0.718440i | \(-0.255144\pi\) |
−0.0161586 | + | 0.999869i | \(0.505144\pi\) | |||||||
\(332\) | 6.99735 | − | 13.5659i | 0.384029 | − | 0.744524i | ||||
\(333\) | 4.08380 | + | 9.85916i | 0.223791 | + | 0.540279i | ||||
\(334\) | −1.46315 | − | 3.99661i | −0.0800600 | − | 0.218685i | ||||
\(335\) | 0.317926i | 0.0173702i | ||||||||
\(336\) | −5.58462 | + | 8.91307i | −0.304666 | + | 0.486248i | ||||
\(337\) | − | 20.7391i | − | 1.12973i | −0.825184 | − | 0.564865i | \(-0.808928\pi\) | ||
0.825184 | − | 0.564865i | \(-0.191072\pi\) | |||||||
\(338\) | 1.32802 | − | 0.486183i | 0.0722345 | − | 0.0264449i | ||||
\(339\) | −0.925059 | − | 2.23329i | −0.0502423 | − | 0.121296i | ||||
\(340\) | −0.0344331 | − | 0.107795i | −0.00186740 | − | 0.00584602i | ||||
\(341\) | −20.0316 | − | 8.29735i | −1.08477 | − | 0.449327i | ||||
\(342\) | −6.97899 | − | 7.58759i | −0.377381 | − | 0.410290i | ||||
\(343\) | −13.8988 | + | 13.8988i | −0.750465 | + | 0.750465i | ||||
\(344\) | −2.08606 | + | 16.5655i | −0.112473 | + | 0.893152i | ||||
\(345\) | −0.348343 | − | 0.348343i | −0.0187542 | − | 0.0187542i | ||||
\(346\) | −0.642599 | + | 15.3803i | −0.0345463 | + | 0.826852i | ||||
\(347\) | −4.33031 | + | 10.4543i | −0.232463 | + | 0.561216i | −0.996466 | − | 0.0839972i | \(-0.973231\pi\) |
0.764003 | + | 0.645213i | \(0.223231\pi\) | |||||||
\(348\) | −13.8599 | − | 1.16017i | −0.742966 | − | 0.0621917i | ||||
\(349\) | −0.672908 | + | 0.278728i | −0.0360199 | + | 0.0149200i | −0.400621 | − | 0.916244i | \(-0.631205\pi\) |
0.364601 | + | 0.931164i | \(0.381205\pi\) | |||||||
\(350\) | −5.57663 | + | 12.0180i | −0.298083 | + | 0.642387i | ||||
\(351\) | −5.65631 | −0.301912 | ||||||||
\(352\) | 9.72983 | − | 6.32773i | 0.518602 | − | 0.337269i | ||||
\(353\) | −0.797848 | −0.0424652 | −0.0212326 | − | 0.999775i | \(-0.506759\pi\) | ||||
−0.0212326 | + | 0.999775i | \(0.506759\pi\) | |||||||
\(354\) | 2.48200 | − | 5.34886i | 0.131917 | − | 0.284289i | ||||
\(355\) | −0.623020 | + | 0.258063i | −0.0330665 | + | 0.0136966i | ||||
\(356\) | −1.88768 | + | 22.5510i | −0.100047 | + | 1.19520i | ||||
\(357\) | −1.34897 | + | 3.25669i | −0.0713948 | + | 0.172362i | ||||
\(358\) | 0.461039 | − | 11.0348i | 0.0243667 | − | 0.583205i | ||||
\(359\) | 2.98085 | + | 2.98085i | 0.157323 | + | 0.157323i | 0.781379 | − | 0.624056i | \(-0.214516\pi\) |
−0.624056 | + | 0.781379i | \(0.714516\pi\) | |||||||
\(360\) | −0.0972998 | + | 0.0755350i | −0.00512815 | + | 0.00398104i | ||||
\(361\) | −21.8582 | + | 21.8582i | −1.15043 | + | 1.15043i | ||||
\(362\) | −16.9229 | − | 18.3987i | −0.889450 | − | 0.967014i | ||||
\(363\) | 8.80112 | + | 3.64555i | 0.461939 | + | 0.191342i | ||||
\(364\) | −3.57090 | + | 1.14066i | −0.187166 | + | 0.0597866i | ||||
\(365\) | −0.186069 | − | 0.449211i | −0.00973932 | − | 0.0235128i | ||||
\(366\) | −3.81275 | + | 1.39584i | −0.199296 | + | 0.0729617i | ||||
\(367\) | 10.9768i | 0.572982i | 0.958083 | + | 0.286491i | \(0.0924888\pi\) | ||||
−0.958083 | + | 0.286491i | \(0.907511\pi\) | |||||||
\(368\) | 19.2919 | + | 27.1161i | 1.00566 | + | 1.41353i | ||||
\(369\) | 1.21473i | 0.0632362i | ||||||||
\(370\) | −0.212230 | − | 0.579708i | −0.0110333 | − | 0.0301376i | ||||
\(371\) | 0.956236 | + | 2.30856i | 0.0496453 | + | 0.119854i | ||||
\(372\) | 26.3519 | + | 13.5924i | 1.36628 | + | 0.704735i | ||||
\(373\) | 2.18035 | + | 0.903129i | 0.112894 | + | 0.0467623i | 0.438416 | − | 0.898772i | \(-0.355540\pi\) |
−0.325521 | + | 0.945535i | \(0.605540\pi\) | |||||||
\(374\) | 2.86289 | − | 2.63326i | 0.148037 | − | 0.136163i | ||||
\(375\) | 0.418625 | − | 0.418625i | 0.0216177 | − | 0.0216177i | ||||
\(376\) | −26.8199 | + | 7.34847i | −1.38313 | + | 0.378968i | ||||
\(377\) | −3.50508 | − | 3.50508i | −0.180521 | − | 0.180521i | ||||
\(378\) | 14.9801 | + | 0.625878i | 0.770494 | + | 0.0321917i | ||||
\(379\) | 2.55877 | − | 6.17741i | 0.131435 | − | 0.317312i | −0.844437 | − | 0.535655i | \(-0.820065\pi\) |
0.975872 | + | 0.218342i | \(0.0700649\pi\) | |||||||
\(380\) | 0.385054 | + | 0.455406i | 0.0197528 | + | 0.0233618i | ||||
\(381\) | 12.3685 | − | 5.12319i | 0.633657 | − | 0.262469i | ||||
\(382\) | 3.46576 | + | 1.60820i | 0.177324 | + | 0.0822825i | ||||
\(383\) | −20.4733 | −1.04613 | −0.523067 | − | 0.852291i | \(-0.675212\pi\) | ||||
−0.523067 | + | 0.852291i | \(0.675212\pi\) | |||||||
\(384\) | −13.9813 | + | 7.51331i | −0.713482 | + | 0.383412i | ||||
\(385\) | 0.162314 | 0.00827227 | ||||||||
\(386\) | 32.4804 | + | 15.0717i | 1.65321 | + | 0.767130i | ||||
\(387\) | 5.62723 | − | 2.33087i | 0.286048 | − | 0.118485i | ||||
\(388\) | 9.53528 | + | 11.2775i | 0.484081 | + | 0.572526i | ||||
\(389\) | 6.02332 | − | 14.5416i | 0.305394 | − | 0.737287i | −0.694448 | − | 0.719543i | \(-0.744351\pi\) |
0.999843 | − | 0.0177445i | \(-0.00564854\pi\) | |||||||
\(390\) | 0.0836669 | + | 0.00349565i | 0.00423664 | + | 0.000177009i | ||||
\(391\) | 7.88629 | + | 7.88629i | 0.398827 | + | 0.398827i | ||||
\(392\) | −9.51185 | + | 2.60619i | −0.480421 | + | 0.131632i | ||||
\(393\) | 21.5794 | − | 21.5794i | 1.08853 | − | 1.08853i | ||||
\(394\) | −21.0983 | + | 19.4060i | −1.06292 | + | 0.977662i | ||||
\(395\) | −0.319269 | − | 0.132245i | −0.0160641 | − | 0.00665399i | ||||
\(396\) | −3.76297 | − | 1.94096i | −0.189097 | − | 0.0975370i | ||||
\(397\) | −1.40608 | − | 3.39458i | −0.0705692 | − | 0.170369i | 0.884659 | − | 0.466238i | \(-0.154391\pi\) |
−0.955229 | + | 0.295869i | \(0.904391\pi\) | |||||||
\(398\) | −3.86094 | − | 10.5462i | −0.193531 | − | 0.528634i | ||||
\(399\) | − | 18.5773i | − | 0.930026i | ||||||
\(400\) | −16.2906 | + | 11.5901i | −0.814532 | + | 0.579504i | ||||
\(401\) | 14.2356i | 0.710893i | 0.934697 | + | 0.355446i | \(0.115671\pi\) | ||||
−0.934697 | + | 0.355446i | \(0.884329\pi\) | |||||||
\(402\) | 14.0339 | − | 5.13776i | 0.699946 | − | 0.256248i | ||||
\(403\) | 4.04404 | + | 9.76317i | 0.201448 | + | 0.486338i | ||||
\(404\) | 2.88908 | − | 0.922860i | 0.143737 | − | 0.0459140i | ||||
\(405\) | −0.188728 | − | 0.0781737i | −0.00937797 | − | 0.00388448i | ||||
\(406\) | 8.89496 | + | 9.67065i | 0.441450 | + | 0.479946i | ||||
\(407\) | 15.0048 | − | 15.0048i | 0.743762 | − | 0.743762i | ||||
\(408\) | −4.20184 | + | 3.26194i | −0.208022 | + | 0.161490i | ||||
\(409\) | 14.6882 | + | 14.6882i | 0.726285 | + | 0.726285i | 0.969878 | − | 0.243592i | \(-0.0783259\pi\) |
−0.243592 | + | 0.969878i | \(0.578326\pi\) | |||||||
\(410\) | 0.00293340 | − | 0.0702097i | 0.000144870 | − | 0.00346741i | ||||
\(411\) | 9.07509 | − | 21.9092i | 0.447641 | − | 1.08070i | ||||
\(412\) | −0.627506 | + | 7.49644i | −0.0309150 | + | 0.369323i | ||||
\(413\) | −5.14659 | + | 2.13179i | −0.253247 | + | 0.104898i | ||||
\(414\) | 5.10997 | − | 11.0123i | 0.251141 | − | 0.541224i | ||||
\(415\) | 0.322128 | 0.0158127 | ||||||||
\(416\) | −5.53401 | − | 1.17248i | −0.271327 | − | 0.0574858i | ||||
\(417\) | 9.66944 | 0.473515 | ||||||||
\(418\) | −8.62857 | + | 18.5951i | −0.422037 | + | 0.909515i | ||||
\(419\) | −16.7156 | + | 6.92384i | −0.816612 | + | 0.338252i | −0.751589 | − | 0.659632i | \(-0.770712\pi\) |
−0.0650233 | + | 0.997884i | \(0.520712\pi\) | |||||||
\(420\) | −0.221196 | − | 0.0185157i | −0.0107932 | − | 0.000903473i | ||||
\(421\) | 1.81037 | − | 4.37063i | 0.0882322 | − | 0.213011i | −0.873604 | − | 0.486638i | \(-0.838223\pi\) |
0.961836 | + | 0.273626i | \(0.0882232\pi\) | |||||||
\(422\) | 0.0900509 | − | 2.15533i | 0.00438361 | − | 0.104920i | ||||
\(423\) | 7.17329 | + | 7.17329i | 0.348777 | + | 0.348777i | ||||
\(424\) | −0.471120 | + | 3.74118i | −0.0228796 | + | 0.181688i | ||||
\(425\) | −4.73787 | + | 4.73787i | −0.229821 | + | 0.229821i | ||||
\(426\) | 21.4596 | + | 23.3309i | 1.03972 | + | 1.13039i | ||||
\(427\) | 3.54375 | + | 1.46787i | 0.171494 | + | 0.0710353i | ||||
\(428\) | −1.29846 | − | 4.06493i | −0.0627636 | − | 0.196486i | ||||
\(429\) | 1.10153 | + | 2.65933i | 0.0531824 | + | 0.128394i | ||||
\(430\) | −0.330875 | + | 0.121132i | −0.0159562 | + | 0.00584153i | ||||
\(431\) | 21.2512i | 1.02363i | 0.859095 | + | 0.511816i | \(0.171027\pi\) | ||||
−0.859095 | + | 0.511816i | \(0.828973\pi\) | |||||||
\(432\) | 19.1727 | + | 12.0129i | 0.922446 | + | 0.577973i | ||||
\(433\) | 11.0925i | 0.533072i | 0.963825 | + | 0.266536i | \(0.0858791\pi\) | ||||
−0.963825 | + | 0.266536i | \(0.914121\pi\) | |||||||
\(434\) | −9.62987 | − | 26.3041i | −0.462249 | − | 1.26264i | ||||
\(435\) | −0.112323 | − | 0.271172i | −0.00538549 | − | 0.0130017i | ||||
\(436\) | 12.0885 | − | 23.4362i | 0.578936 | − | 1.12239i | ||||
\(437\) | −54.3029 | − | 22.4930i | −2.59766 | − | 1.07599i | ||||
\(438\) | −16.8221 | + | 15.4728i | −0.803792 | + | 0.739320i | ||||
\(439\) | −18.6925 | + | 18.6925i | −0.892145 | + | 0.892145i | −0.994725 | − | 0.102580i | \(-0.967290\pi\) |
0.102580 | + | 0.994725i | \(0.467290\pi\) | |||||||
\(440\) | 0.212808 | + | 0.121272i | 0.0101452 | + | 0.00578142i | ||||
\(441\) | 2.54406 | + | 2.54406i | 0.121146 | + | 0.121146i | ||||
\(442\) | −1.89417 | − | 0.0791396i | −0.0900966 | − | 0.00376429i | ||||
\(443\) | −3.76977 | + | 9.10102i | −0.179107 | + | 0.432403i | −0.987780 | − | 0.155856i | \(-0.950186\pi\) |
0.808673 | + | 0.588259i | \(0.200186\pi\) | |||||||
\(444\) | −22.1598 | + | 18.7364i | −1.05166 | + | 0.889192i | ||||
\(445\) | −0.441217 | + | 0.182758i | −0.0209157 | + | 0.00866356i | ||||
\(446\) | −11.3406 | − | 5.26234i | −0.536995 | − | 0.249179i | ||||
\(447\) | −1.60770 | −0.0760418 | ||||||||
\(448\) | 14.5265 | + | 3.71754i | 0.686312 | + | 0.175637i | ||||
\(449\) | −19.4836 | −0.919490 | −0.459745 | − | 0.888051i | \(-0.652059\pi\) | ||||
−0.459745 | + | 0.888051i | \(0.652059\pi\) | |||||||
\(450\) | 6.61589 | + | 3.06993i | 0.311876 | + | 0.144718i | ||||
\(451\) | 2.23160 | − | 0.924359i | 0.105082 | − | 0.0435264i | ||||
\(452\) | −2.63153 | + | 2.22500i | −0.123777 | + | 0.104655i | ||||
\(453\) | −10.4048 | + | 25.1194i | −0.488859 | + | 1.18021i | ||||
\(454\) | −28.0606 | − | 1.17239i | −1.31695 | − | 0.0550229i | ||||
\(455\) | −0.0559391 | − | 0.0559391i | −0.00262246 | − | 0.00262246i | ||||
\(456\) | 13.8799 | − | 24.3565i | 0.649988 | − | 1.14060i | ||||
\(457\) | 22.9769 | − | 22.9769i | 1.07481 | − | 1.07481i | 0.0778468 | − | 0.996965i | \(-0.475195\pi\) |
0.996965 | − | 0.0778468i | \(-0.0248045\pi\) | |||||||
\(458\) | 12.9922 | − | 11.9501i | 0.607086 | − | 0.558392i | ||||
\(459\) | 7.00538 | + | 2.90173i | 0.326983 | + | 0.135441i | ||||
\(460\) | −0.321943 | + | 0.624156i | −0.0150107 | + | 0.0291014i | ||||
\(461\) | −7.62051 | − | 18.3975i | −0.354922 | − | 0.856858i | −0.995998 | − | 0.0893803i | \(-0.971511\pi\) |
0.641075 | − | 0.767478i | \(-0.278489\pi\) | |||||||
\(462\) | −2.62303 | − | 7.16483i | −0.122034 | − | 0.333338i | ||||
\(463\) | − | 11.2437i | − | 0.522539i | −0.965266 | − | 0.261270i | \(-0.915859\pi\) | ||
0.965266 | − | 0.261270i | \(-0.0841411\pi\) | |||||||
\(464\) | 4.43671 | + | 19.3249i | 0.205969 | + | 0.897138i | ||||
\(465\) | 0.625738i | 0.0290179i | ||||||||
\(466\) | −11.4658 | + | 4.19759i | −0.531142 | + | 0.194450i | ||||
\(467\) | 12.2312 | + | 29.5287i | 0.565991 | + | 1.36642i | 0.904908 | + | 0.425607i | \(0.139939\pi\) |
−0.338917 | + | 0.940816i | \(0.610061\pi\) | |||||||
\(468\) | 0.627931 | + | 1.96578i | 0.0290261 | + | 0.0908682i | ||||
\(469\) | −13.0437 | − | 5.40290i | −0.602304 | − | 0.249483i | ||||
\(470\) | −0.397284 | − | 0.431929i | −0.0183254 | − | 0.0199234i | ||||
\(471\) | −12.3626 | + | 12.3626i | −0.569641 | + | 0.569641i | ||||
\(472\) | −8.34041 | − | 1.05029i | −0.383899 | − | 0.0483437i | ||||
\(473\) | −8.56418 | − | 8.56418i | −0.393781 | − | 0.393781i | ||||
\(474\) | −0.678109 | + | 16.2302i | −0.0311466 | + | 0.745480i | ||||
\(475\) | 13.5132 | − | 32.6238i | 0.620028 | − | 1.49688i | ||||
\(476\) | 5.00775 | + | 0.419185i | 0.229530 | + | 0.0192133i | ||||
\(477\) | 1.27086 | − | 0.526408i | 0.0581888 | − | 0.0241026i | ||||
\(478\) | 1.05867 | − | 2.28150i | 0.0484226 | − | 0.104354i | ||||
\(479\) | −16.6958 | −0.762851 | −0.381425 | − | 0.924400i | \(-0.624567\pi\) | ||||
−0.381425 | + | 0.924400i | \(0.624567\pi\) | |||||||
\(480\) | −0.276174 | − | 0.189542i | −0.0126055 | − | 0.00865135i | ||||
\(481\) | −10.3424 | −0.471573 | ||||||||
\(482\) | −8.73444 | + | 18.8232i | −0.397843 | + | 0.857374i | ||||
\(483\) | 20.2115 | − | 8.37187i | 0.919654 | − | 0.380933i | ||||
\(484\) | 1.13284 | − | 13.5333i | 0.0514926 | − | 0.615150i | ||||
\(485\) | −0.119268 | + | 0.287939i | −0.00541569 | + | 0.0130746i | ||||
\(486\) | 0.600916 | − | 14.3827i | 0.0272581 | − | 0.652411i | ||||
\(487\) | −13.1576 | − | 13.1576i | −0.596227 | − | 0.596227i | 0.343079 | − | 0.939306i | \(-0.388530\pi\) |
−0.939306 | + | 0.343079i | \(0.888530\pi\) | |||||||
\(488\) | 3.54947 | + | 4.57222i | 0.160677 | + | 0.206975i | ||||
\(489\) | 19.3228 | − | 19.3228i | 0.873805 | − | 0.873805i | ||||
\(490\) | −0.140900 | − | 0.153187i | −0.00636520 | − | 0.00692027i | ||||
\(491\) | 21.8280 | + | 9.04146i | 0.985084 | + | 0.408035i | 0.816307 | − | 0.577619i | \(-0.196018\pi\) |
0.168778 | + | 0.985654i | \(0.446018\pi\) | |||||||
\(492\) | −3.14660 | + | 1.00512i | −0.141860 | + | 0.0453143i | ||||
\(493\) | 2.54293 | + | 6.13919i | 0.114528 | + | 0.276495i | ||||
\(494\) | 9.38224 | − | 3.43481i | 0.422127 | − | 0.154540i | ||||
\(495\) | − | 0.0893537i | − | 0.00401615i | ||||||
\(496\) | 7.02742 | − | 41.6821i | 0.315541 | − | 1.87158i | ||||
\(497\) | − | 29.9466i | − | 1.34329i | ||||||
\(498\) | −5.20567 | − | 14.2194i | −0.233272 | − | 0.637185i | ||||
\(499\) | 2.50674 | + | 6.05180i | 0.112217 | + | 0.270916i | 0.970004 | − | 0.243090i | \(-0.0781610\pi\) |
−0.857787 | + | 0.514006i | \(0.828161\pi\) | |||||||
\(500\) | −0.750086 | − | 0.386898i | −0.0335449 | − | 0.0173026i | ||||
\(501\) | −3.90065 | − | 1.61570i | −0.174268 | − | 0.0721842i | ||||
\(502\) | −20.7270 | + | 19.0645i | −0.925090 | + | 0.850889i | ||||
\(503\) | 1.96926 | − | 1.96926i | 0.0878048 | − | 0.0878048i | −0.661840 | − | 0.749645i | \(-0.730224\pi\) |
0.749645 | + | 0.661840i | \(0.230224\pi\) | |||||||
\(504\) | −1.44549 | − | 5.27563i | −0.0643872 | − | 0.234995i | ||||
\(505\) | 0.0452581 | + | 0.0452581i | 0.00201396 | + | 0.00201396i | ||||
\(506\) | −24.1193 | − | 1.00772i | −1.07224 | − | 0.0447986i | ||||
\(507\) | 0.536874 | − | 1.29613i | 0.0238434 | − | 0.0575631i | ||||
\(508\) | −12.3226 | − | 14.5740i | −0.546726 | − | 0.646617i | ||||
\(509\) | 28.0705 | − | 11.6272i | 1.24421 | − | 0.515367i | 0.339179 | − | 0.940722i | \(-0.389851\pi\) |
0.905026 | + | 0.425355i | \(0.139851\pi\) | |||||||
\(510\) | −0.101829 | − | 0.0472510i | −0.00450905 | − | 0.00209231i | ||||
\(511\) | 21.5922 | 0.955181 | ||||||||
\(512\) | 16.2680 | + | 15.7275i | 0.718950 | + | 0.695062i | ||||
\(513\) | −39.9611 | −1.76432 | ||||||||
\(514\) | 22.3764 | + | 10.3832i | 0.986979 | + | 0.457983i | ||||
\(515\) | −0.146670 | + | 0.0607527i | −0.00646305 | + | 0.00267708i | ||||
\(516\) | 10.6940 | + | 12.6479i | 0.470779 | + | 0.556794i | ||||
\(517\) | 7.71960 | − | 18.6368i | 0.339508 | − | 0.819644i | ||||
\(518\) | 27.3907 | + | 1.14440i | 1.20348 | + | 0.0502820i | ||||
\(519\) | 10.7981 | + | 10.7981i | 0.473984 | + | 0.473984i | ||||
\(520\) | −0.0315465 | − | 0.115136i | −0.00138341 | − | 0.00504904i | ||||
\(521\) | 24.9407 | − | 24.9407i | 1.09267 | − | 1.09267i | 0.0974287 | − | 0.995243i | \(-0.468938\pi\) |
0.995243 | − | 0.0974287i | \(-0.0310618\pi\) | |||||||
\(522\) | 5.32369 | − | 4.89668i | 0.233012 | − | 0.214322i | ||||
\(523\) | −5.48560 | − | 2.27221i | −0.239868 | − | 0.0993567i | 0.259511 | − | 0.965740i | \(-0.416439\pi\) |
−0.499379 | + | 0.866383i | \(0.666439\pi\) | |||||||
\(524\) | −38.6656 | − | 19.9439i | −1.68911 | − | 0.871254i | ||||
\(525\) | 5.02960 | + | 12.1425i | 0.219510 | + | 0.529943i | ||||
\(526\) | −2.92654 | − | 7.99390i | −0.127603 | − | 0.348551i | ||||
\(527\) | − | 14.1664i | − | 0.617097i | ||||||
\(528\) | 1.91416 | − | 11.3535i | 0.0833031 | − | 0.494099i | ||||
\(529\) | − | 46.2165i | − | 2.00941i | ||||||
\(530\) | −0.0747254 | + | 0.0273568i | −0.00324586 | + | 0.00118830i | ||||
\(531\) | 1.17355 | + | 2.83320i | 0.0509277 | + | 0.122950i | ||||
\(532\) | −25.2279 | + | 8.05857i | −1.09377 | + | 0.349383i | ||||
\(533\) | −1.08766 | − | 0.450522i | −0.0471116 | − | 0.0195143i | ||||
\(534\) | 15.1975 | + | 16.5227i | 0.657658 | + | 0.715009i | ||||
\(535\) | 0.0636782 | − | 0.0636782i | 0.00275305 | − | 0.00275305i | ||||
\(536\) | −13.0648 | − | 16.8293i | −0.564312 | − | 0.726914i | ||||
\(537\) | −7.74719 | − | 7.74719i | −0.334316 | − | 0.334316i | ||||
\(538\) | −0.675144 | + | 16.1593i | −0.0291075 | + | 0.696676i | ||||
\(539\) | 2.73781 | − | 6.60966i | 0.117926 | − | 0.284698i | ||||
\(540\) | −0.0398286 | + | 0.475808i | −0.00171395 | + | 0.0204755i | ||||
\(541\) | −37.2615 | + | 15.4342i | −1.60200 | + | 0.663569i | −0.991697 | − | 0.128600i | \(-0.958952\pi\) |
−0.610302 | + | 0.792169i | \(0.708952\pi\) | |||||||
\(542\) | −8.60373 | + | 18.5415i | −0.369562 | + | 0.796428i | ||||
\(543\) | −24.7983 | −1.06420 | ||||||||
\(544\) | 6.25242 | + | 4.29111i | 0.268070 | + | 0.183980i | ||||
\(545\) | 0.556505 | 0.0238380 | ||||||||
\(546\) | −1.56527 | + | 3.37325i | −0.0669873 | + | 0.144362i | ||||
\(547\) | 0.454932 | − | 0.188439i | 0.0194515 | − | 0.00805707i | −0.372936 | − | 0.927857i | \(-0.621649\pi\) |
0.392388 | + | 0.919800i | \(0.371649\pi\) | |||||||
\(548\) | −33.6893 | − | 2.82004i | −1.43914 | − | 0.120466i | ||||
\(549\) | 0.808063 | − | 1.95084i | 0.0344873 | − | 0.0832597i | ||||
\(550\) | 0.605411 | − | 14.4903i | 0.0258148 | − | 0.617867i | ||||
\(551\) | −24.7629 | − | 24.7629i | −1.05493 | − | 1.05493i | ||||
\(552\) | 32.7541 | + | 4.12467i | 1.39411 | + | 0.175558i | ||||
\(553\) | 10.8514 | − | 10.8514i | 0.461449 | − | 0.461449i | ||||
\(554\) | −14.4723 | − | 15.7344i | −0.614869 | − | 0.668489i | ||||
\(555\) | −0.565789 | − | 0.234357i | −0.0240164 | − | 0.00994792i | ||||
\(556\) | −4.19448 | − | 13.1311i | −0.177885 | − | 0.556882i | ||||
\(557\) | −10.5604 | − | 25.4951i | −0.447460 | − | 1.08026i | −0.973270 | − | 0.229662i | \(-0.926238\pi\) |
0.525810 | − | 0.850602i | \(-0.323762\pi\) | |||||||
\(558\) | −14.4804 | + | 5.30125i | −0.613006 | + | 0.224420i | ||||
\(559\) | 5.90304i | 0.249672i | ||||||||
\(560\) | 0.0708075 | + | 0.308415i | 0.00299216 | + | 0.0130329i | ||||
\(561\) | − | 3.85869i | − | 0.162914i | ||||||
\(562\) | −0.859609 | − | 2.34803i | −0.0362604 | − | 0.0990459i | ||||
\(563\) | −12.0391 | − | 29.0650i | −0.507388 | − | 1.22494i | −0.945382 | − | 0.325964i | \(-0.894311\pi\) |
0.437995 | − | 0.898978i | \(-0.355689\pi\) | |||||||
\(564\) | −12.6460 | + | 24.5170i | −0.532492 | + | 1.03235i | ||||
\(565\) | −0.0671889 | − | 0.0278305i | −0.00282666 | − | 0.00117084i | ||||
\(566\) | 5.59681 | − | 5.14789i | 0.235251 | − | 0.216382i | ||||
\(567\) | 6.41456 | − | 6.41456i | 0.269386 | − | 0.269386i | ||||
\(568\) | 22.3745 | − | 39.2627i | 0.938814 | − | 1.64743i | ||||
\(569\) | 9.01457 | + | 9.01457i | 0.377910 | + | 0.377910i | 0.870348 | − | 0.492437i | \(-0.163894\pi\) |
−0.492437 | + | 0.870348i | \(0.663894\pi\) | |||||||
\(570\) | 0.591095 | + | 0.0246963i | 0.0247582 | + | 0.00103441i | ||||
\(571\) | −6.08450 | + | 14.6893i | −0.254628 | + | 0.614727i | −0.998567 | − | 0.0535210i | \(-0.982956\pi\) |
0.743938 | + | 0.668248i | \(0.232956\pi\) | |||||||
\(572\) | 3.13354 | − | 2.64946i | 0.131020 | − | 0.110780i | ||||
\(573\) | 3.50168 | − | 1.45044i | 0.146285 | − | 0.0605931i | ||||
\(574\) | 2.83069 | + | 1.31351i | 0.118151 | + | 0.0548248i | ||||
\(575\) | 41.5834 | 1.73415 | ||||||||
\(576\) | 2.04651 | − | 7.99683i | 0.0852711 | − | 0.333201i | ||||
\(577\) | 5.62489 | 0.234167 | 0.117084 | − | 0.993122i | \(-0.462645\pi\) | ||||
0.117084 | + | 0.993122i | \(0.462645\pi\) | |||||||
\(578\) | −19.5028 | − | 9.04978i | −0.811210 | − | 0.376421i | ||||
\(579\) | 32.8171 | − | 13.5933i | 1.36383 | − | 0.564917i | ||||
\(580\) | −0.319527 | + | 0.270166i | −0.0132676 | + | 0.0112180i | ||||
\(581\) | −5.47431 | + | 13.2162i | −0.227113 | + | 0.548298i | ||||
\(582\) | 14.6376 | + | 0.611567i | 0.606748 | + | 0.0253503i | ||||
\(583\) | −1.93415 | − | 1.93415i | −0.0801042 | − | 0.0801042i | ||||
\(584\) | 28.3093 | + | 16.1325i | 1.17145 | + | 0.667568i | ||||
\(585\) | −0.0307945 | + | 0.0307945i | −0.00127319 | + | 0.00127319i | ||||
\(586\) | 21.7296 | − | 19.9867i | 0.897642 | − | 0.825642i | ||||
\(587\) | 9.51250 | + | 3.94021i | 0.392623 | + | 0.162630i | 0.570256 | − | 0.821467i | \(-0.306844\pi\) |
−0.177633 | + | 0.984097i | \(0.556844\pi\) | |||||||
\(588\) | −4.48498 | + | 8.69511i | −0.184958 | + | 0.358580i | ||||
\(589\) | 28.5705 | + | 68.9754i | 1.17723 | + | 2.84208i | ||||
\(590\) | −0.0609879 | − | 0.166589i | −0.00251083 | − | 0.00685837i | ||||
\(591\) | 28.4370i | 1.16974i | ||||||||
\(592\) | 35.0567 | + | 21.9653i | 1.44082 | + | 0.902768i | ||||
\(593\) | 36.9766i | 1.51845i | 0.650830 | + | 0.759224i | \(0.274421\pi\) | ||||
−0.650830 | + | 0.759224i | \(0.725579\pi\) | |||||||
\(594\) | −15.4121 | + | 5.64232i | −0.632366 | + | 0.231507i | ||||
\(595\) | 0.0405838 | + | 0.0979780i | 0.00166377 | + | 0.00401671i | ||||
\(596\) | 0.697400 | + | 2.18326i | 0.0285666 | + | 0.0894298i | ||||
\(597\) | −10.2930 | − | 4.26349i | −0.421264 | − | 0.174493i | ||||
\(598\) | 7.96509 | + | 8.65969i | 0.325717 | + | 0.354121i | ||||
\(599\) | 20.4511 | − | 20.4511i | 0.835609 | − | 0.835609i | −0.152668 | − | 0.988277i | \(-0.548787\pi\) |
0.988277 | + | 0.152668i | \(0.0487867\pi\) | |||||||
\(600\) | −2.47799 | + | 19.6778i | −0.101164 | + | 0.803343i | ||||
\(601\) | 25.8677 | + | 25.8677i | 1.05517 | + | 1.05517i | 0.998387 | + | 0.0567784i | \(0.0180829\pi\) |
0.0567784 | + | 0.998387i | \(0.481917\pi\) | |||||||
\(602\) | 0.653179 | − | 15.6336i | 0.0266216 | − | 0.637176i | ||||
\(603\) | −2.97429 | + | 7.18058i | −0.121123 | + | 0.292416i | ||||
\(604\) | 38.6255 | + | 3.23324i | 1.57165 | + | 0.131559i | ||||
\(605\) | 0.264783 | − | 0.109677i | 0.0107650 | − | 0.00445899i | ||||
\(606\) | 1.26640 | − | 2.72916i | 0.0514439 | − | 0.110865i | ||||
\(607\) | −5.96429 | −0.242083 | −0.121042 | − | 0.992647i | \(-0.538623\pi\) | ||||
−0.121042 | + | 0.992647i | \(0.538623\pi\) | |||||||
\(608\) | −39.0970 | − | 8.28344i | −1.58559 | − | 0.335938i | ||||
\(609\) | 13.0344 | 0.528180 | ||||||||
\(610\) | −0.0514160 | + | 0.110805i | −0.00208177 | + | 0.00448634i | ||||
\(611\) | −9.08334 | + | 3.76244i | −0.367473 | + | 0.152212i | ||||
\(612\) | 0.230761 | − | 2.75677i | 0.00932797 | − | 0.111436i | ||||
\(613\) | −4.98277 | + | 12.0295i | −0.201252 | + | 0.485866i | −0.991994 | − | 0.126284i | \(-0.959695\pi\) |
0.790742 | + | 0.612150i | \(0.209695\pi\) | |||||||
\(614\) | 0.702858 | − | 16.8226i | 0.0283650 | − | 0.678905i | ||||
\(615\) | −0.0492923 | − | 0.0492923i | −0.00198766 | − | 0.00198766i | ||||
\(616\) | −8.59200 | + | 6.67008i | −0.346182 | + | 0.268745i | ||||
\(617\) | 17.7974 | − | 17.7974i | 0.716495 | − | 0.716495i | −0.251391 | − | 0.967886i | \(-0.580888\pi\) |
0.967886 | + | 0.251391i | \(0.0808879\pi\) | |||||||
\(618\) | 5.05196 | + | 5.49251i | 0.203220 | + | 0.220941i | ||||
\(619\) | 17.4572 | + | 7.23102i | 0.701665 | + | 0.290639i | 0.704851 | − | 0.709356i | \(-0.251014\pi\) |
−0.00318554 | + | 0.999995i | \(0.501014\pi\) | |||||||
\(620\) | 0.849752 | − | 0.271437i | 0.0341269 | − | 0.0109012i | ||||
\(621\) | −18.0085 | − | 43.4764i | −0.722657 | − | 1.74465i | ||||
\(622\) | −33.3565 | + | 12.2117i | −1.33747 | + | 0.489645i | ||||
\(623\) | − | 21.2079i | − | 0.849677i | ||||||
\(624\) | −4.57252 | + | 3.25315i | −0.183047 | + | 0.130230i | ||||
\(625\) | 24.9733i | 0.998931i | ||||||||
\(626\) | 11.8400 | + | 32.3411i | 0.473221 | + | 1.29261i | ||||
\(627\) | 7.78216 | + | 18.7878i | 0.310790 | + | 0.750313i | ||||
\(628\) | 22.1512 | + | 11.4257i | 0.883929 | + | 0.455935i | ||||
\(629\) | 12.8091 | + | 5.30572i | 0.510734 | + | 0.211553i | ||||
\(630\) | 0.0849632 | − | 0.0781483i | 0.00338501 | − | 0.00311350i | ||||
\(631\) | −33.8185 | + | 33.8185i | −1.34629 | + | 1.34629i | −0.456644 | + | 0.889649i | \(0.650949\pi\) |
−0.889649 | + | 0.456644i | \(0.849051\pi\) | |||||||
\(632\) | 22.3348 | − | 6.11959i | 0.888431 | − | 0.243424i | ||||
\(633\) | −1.51319 | − | 1.51319i | −0.0601441 | − | 0.0601441i | ||||
\(634\) | −31.1806 | − | 1.30274i | −1.23834 | − | 0.0517386i | ||||
\(635\) | 0.154132 | − | 0.372108i | 0.00611654 | − | 0.0147666i | ||||
\(636\) | 2.41516 | + | 2.85643i | 0.0957673 | + | 0.113265i | ||||
\(637\) | −3.22147 | + | 1.33438i | −0.127639 | + | 0.0528699i | ||||
\(638\) | −13.0469 | − | 6.05408i | −0.516531 | − | 0.239683i | ||||
\(639\) | −16.4856 | −0.652161 | ||||||||
\(640\) | −0.137597 | + | 0.457264i | −0.00543899 | + | 0.0180750i | ||||
\(641\) | 18.4797 | 0.729903 | 0.364951 | − | 0.931027i | \(-0.381086\pi\) | ||||
0.364951 | + | 0.931027i | \(0.381086\pi\) | |||||||
\(642\) | −3.83993 | − | 1.78182i | −0.151550 | − | 0.0703229i | ||||
\(643\) | −19.0785 | + | 7.90259i | −0.752385 | + | 0.311648i | −0.725714 | − | 0.687996i | \(-0.758490\pi\) |
−0.0266704 | + | 0.999644i | \(0.508490\pi\) | |||||||
\(644\) | −20.1365 | − | 23.8156i | −0.793488 | − | 0.938465i | ||||
\(645\) | −0.133762 | + | 0.322930i | −0.00526688 | + | 0.0127154i | ||||
\(646\) | −13.3821 | − | 0.559110i | −0.526510 | − | 0.0219979i | ||||
\(647\) | −4.39897 | − | 4.39897i | −0.172941 | − | 0.172941i | 0.615329 | − | 0.788270i | \(-0.289023\pi\) |
−0.788270 | + | 0.615329i | \(0.789023\pi\) | |||||||
\(648\) | 13.2027 | − | 3.61745i | 0.518651 | − | 0.142107i | ||||
\(649\) | 4.31190 | − | 4.31190i | 0.169257 | − | 0.169257i | ||||
\(650\) | −5.20251 | + | 4.78522i | −0.204059 | + | 0.187692i | ||||
\(651\) | −25.6725 | − | 10.6339i | −1.00619 | − | 0.416776i | ||||
\(652\) | −34.6222 | − | 17.8583i | −1.35591 | − | 0.699386i | ||||
\(653\) | 2.02746 | + | 4.89471i | 0.0793405 | + | 0.191545i | 0.958572 | − | 0.284849i | \(-0.0919435\pi\) |
−0.879232 | + | 0.476394i | \(0.841944\pi\) | |||||||
\(654\) | −8.99325 | − | 24.5652i | −0.351664 | − | 0.960575i | ||||
\(655\) | − | 0.918133i | − | 0.0358744i | ||||||
\(656\) | 2.72990 | + | 3.83707i | 0.106585 | + | 0.149812i | ||||
\(657\) | − | 11.8865i | − | 0.463736i | ||||||
\(658\) | 24.4725 | − | 8.95933i | 0.954039 | − | 0.349271i | ||||
\(659\) | 16.8242 | + | 40.6173i | 0.655379 | + | 1.58222i | 0.804863 | + | 0.593460i | \(0.202239\pi\) |
−0.149484 | + | 0.988764i | \(0.547761\pi\) | |||||||
\(660\) | 0.231459 | − | 0.0739351i | 0.00900953 | − | 0.00287792i | ||||
\(661\) | −5.30944 | − | 2.19924i | −0.206513 | − | 0.0855405i | 0.277029 | − | 0.960861i | \(-0.410650\pi\) |
−0.483542 | + | 0.875321i | \(0.660650\pi\) | |||||||
\(662\) | −12.8094 | − | 13.9265i | −0.497852 | − | 0.541267i | ||||
\(663\) | −1.32984 | + | 1.32984i | −0.0516469 | + | 0.0516469i | ||||
\(664\) | −17.0517 | + | 13.2375i | −0.661735 | + | 0.513713i | ||||
\(665\) | −0.395202 | − | 0.395202i | −0.0153253 | − | 0.0153253i | ||||
\(666\) | 0.629992 | − | 15.0786i | 0.0244117 | − | 0.584284i | ||||
\(667\) | 15.7818 | − | 38.1007i | 0.611074 | − | 1.47526i | ||||
\(668\) | −0.502072 | + | 5.99795i | −0.0194257 | + | 0.232068i | ||||
\(669\) | −11.4582 | + | 4.74614i | −0.442999 | + | 0.183496i | ||||
\(670\) | 0.189250 | − | 0.407846i | 0.00731138 | − | 0.0157565i | ||||
\(671\) | −4.19882 | −0.162094 | ||||||||
\(672\) | 12.4698 | − | 8.10964i | 0.481032 | − | 0.312836i | ||||
\(673\) | 45.6326 | 1.75901 | 0.879503 | − | 0.475892i | \(-0.157875\pi\) | ||||
0.879503 | + | 0.475892i | \(0.157875\pi\) | |||||||
\(674\) | −12.3453 | + | 26.6048i | −0.475522 | + | 1.02478i | ||||
\(675\) | 26.1195 | − | 10.8190i | 1.00534 | − | 0.416425i | ||||
\(676\) | −1.99303 | − | 0.166831i | −0.0766550 | − | 0.00641658i | ||||
\(677\) | 0.465826 | − | 1.12460i | 0.0179032 | − | 0.0432221i | −0.914675 | − | 0.404190i | \(-0.867554\pi\) |
0.932578 | + | 0.360968i | \(0.117554\pi\) | |||||||
\(678\) | −0.142705 | + | 3.41559i | −0.00548057 | + | 0.131175i | ||||
\(679\) | −9.78658 | − | 9.78658i | −0.375575 | − | 0.375575i | ||||
\(680\) | −0.0199949 | + | 0.158780i | −0.000766770 | + | 0.00608894i | ||||
\(681\) | −19.7005 | + | 19.7005i | −0.754927 | + | 0.754927i | ||||
\(682\) | 20.7580 | + | 22.5682i | 0.794866 | + | 0.864182i | ||||
\(683\) | −29.6803 | − | 12.2940i | −1.13569 | − | 0.470416i | −0.265976 | − | 0.963980i | \(-0.585694\pi\) |
−0.869710 | + | 0.493563i | \(0.835694\pi\) | |||||||
\(684\) | 4.43624 | + | 13.8880i | 0.169624 | + | 0.531019i | ||||
\(685\) | −0.273025 | − | 0.659142i | −0.0104318 | − | 0.0251845i | ||||
\(686\) | 26.1033 | − | 9.55635i | 0.996629 | − | 0.364863i | ||||
\(687\) | − | 17.5113i | − | 0.668097i | ||||||
\(688\) | 12.5369 | − | 20.0090i | 0.477967 | − | 0.762836i | ||||
\(689\) | 1.33315i | 0.0507891i | ||||||||
\(690\) | 0.239509 | + | 0.654222i | 0.00911795 | + | 0.0249058i | ||||
\(691\) | 2.35974 | + | 5.69691i | 0.0897687 | + | 0.216721i | 0.962387 | − | 0.271682i | \(-0.0875798\pi\) |
−0.872618 | + | 0.488403i | \(0.837580\pi\) | |||||||
\(692\) | 9.97973 | − | 19.3479i | 0.379372 | − | 0.735496i | ||||
\(693\) | 3.66597 | + | 1.51849i | 0.139259 | + | 0.0576828i | ||||
\(694\) | 11.7781 | − | 10.8334i | 0.447092 | − | 0.411231i | ||||
\(695\) | 0.205702 | − | 0.205702i | 0.00780272 | − | 0.00780272i | ||||
\(696\) | 17.0893 | + | 9.73860i | 0.647767 | + | 0.369141i | ||||
\(697\) | 1.11595 | + | 1.11595i | 0.0422696 | + | 0.0422696i | ||||
\(698\) | 1.02915 | + | 0.0429983i | 0.0389537 | + | 0.00162751i | ||||
\(699\) | −4.63524 | + | 11.1905i | −0.175321 | + | 0.423262i | ||||
\(700\) | 14.3078 | − | 12.0974i | 0.540782 | − | 0.457241i | ||||
\(701\) | 21.4136 | − | 8.86979i | 0.808779 | − | 0.335007i | 0.0603125 | − | 0.998180i | \(-0.480790\pi\) |
0.748467 | + | 0.663172i | \(0.230790\pi\) | |||||||
\(702\) | 7.25610 | + | 3.36701i | 0.273864 | + | 0.127080i | ||||
\(703\) | −73.0676 | −2.75580 | ||||||||
\(704\) | −16.2484 | + | 2.32559i | −0.612385 | + | 0.0876488i | ||||
\(705\) | −0.582167 | −0.0219257 | ||||||||
\(706\) | 1.02351 | + | 0.474932i | 0.0385201 | + | 0.0178743i | ||||
\(707\) | −2.62596 | + | 1.08771i | −0.0987593 | + | 0.0409075i | ||||
\(708\) | −6.36799 | + | 5.38424i | −0.239324 | + | 0.202352i | ||||
\(709\) | 1.79886 | − | 4.34283i | 0.0675575 | − | 0.163098i | −0.886495 | − | 0.462739i | \(-0.846867\pi\) |
0.954052 | + | 0.299641i | \(0.0968668\pi\) | |||||||
\(710\) | 0.952847 | + | 0.0398105i | 0.0357597 | + | 0.00149406i | ||||
\(711\) | −5.97371 | − | 5.97371i | −0.224032 | − | 0.224032i | ||||
\(712\) | 15.8454 | − | 27.8055i | 0.593832 | − | 1.04205i | ||||
\(713\) | −62.1677 | + | 62.1677i | −2.32820 | + | 2.32820i | ||||
\(714\) | 3.66909 | − | 3.37480i | 0.137312 | − | 0.126299i | ||||
\(715\) | 0.0800064 | + | 0.0331397i | 0.00299207 | + | 0.00123936i | ||||
\(716\) | −7.16005 | + | 13.8813i | −0.267584 | + | 0.518769i | ||||
\(717\) | −0.954825 | − | 2.30515i | −0.0356586 | − | 0.0860875i | ||||
\(718\) | −2.04953 | − | 5.59833i | −0.0764879 | − | 0.208928i | ||||
\(719\) | − | 9.07164i | − | 0.338315i | −0.985589 | − | 0.169158i | \(-0.945895\pi\) | ||
0.985589 | − | 0.169158i | \(-0.0541047\pi\) | |||||||
\(720\) | 0.169783 | − | 0.0389795i | 0.00632743 | − | 0.00145268i | ||||
\(721\) | − | 7.04996i | − | 0.262554i | ||||||
\(722\) | 41.0519 | − | 15.0290i | 1.52779 | − | 0.559321i | ||||
\(723\) | 7.87765 | + | 19.0183i | 0.292973 | + | 0.707299i | ||||
\(724\) | 10.7572 | + | 33.6761i | 0.399787 | + | 1.25156i | ||||
\(725\) | 22.8899 | + | 9.48129i | 0.850108 | + | 0.352126i | ||||
\(726\) | −9.12030 | − | 9.91563i | −0.338486 | − | 0.368004i | ||||
\(727\) | −7.72242 | + | 7.72242i | −0.286409 | + | 0.286409i | −0.835658 | − | 0.549250i | \(-0.814914\pi\) |
0.549250 | + | 0.835658i | \(0.314914\pi\) | |||||||
\(728\) | 5.25986 | + | 0.662365i | 0.194943 | + | 0.0245489i | ||||
\(729\) | −20.3646 | − | 20.3646i | −0.754246 | − | 0.754246i | ||||
\(730\) | −0.0287042 | + | 0.687023i | −0.00106239 | + | 0.0254279i | ||||
\(731\) | 3.02830 | − | 7.31096i | 0.112006 | − | 0.270406i | ||||
\(732\) | 5.72202 | + | 0.478975i | 0.211492 | + | 0.0177034i | ||||
\(733\) | −14.2669 | + | 5.90955i | −0.526961 | + | 0.218274i | −0.630272 | − | 0.776375i | \(-0.717056\pi\) |
0.103311 | + | 0.994649i | \(0.467056\pi\) | |||||||
\(734\) | 6.53409 | − | 14.0813i | 0.241177 | − | 0.519752i | ||||
\(735\) | −0.206470 | −0.00761575 | ||||||||
\(736\) | −8.60700 | − | 46.2693i | −0.317258 | − | 1.70551i | ||||
\(737\) | 15.4549 | 0.569288 | ||||||||
\(738\) | 0.723086 | − | 1.55829i | 0.0266172 | − | 0.0573616i | ||||
\(739\) | 26.3508 | − | 10.9149i | 0.969331 | − | 0.401510i | 0.158868 | − | 0.987300i | \(-0.449215\pi\) |
0.810463 | + | 0.585790i | \(0.199215\pi\) | |||||||
\(740\) | −0.0728255 | + | 0.870002i | −0.00267712 | + | 0.0319819i | ||||
\(741\) | 3.79294 | − | 9.15696i | 0.139337 | − | 0.336389i | ||||
\(742\) | 0.147515 | − | 3.53071i | 0.00541545 | − | 0.129616i | ||||
\(743\) | −13.0743 | − | 13.0743i | −0.479651 | − | 0.479651i | 0.425369 | − | 0.905020i | \(-0.360144\pi\) |
−0.905020 | + | 0.425369i | \(0.860144\pi\) | |||||||
\(744\) | −25.7139 | − | 33.1232i | −0.942719 | − | 1.21436i | ||||
\(745\) | −0.0342013 | + | 0.0342013i | −0.00125304 | + | 0.00125304i | ||||
\(746\) | −2.25942 | − | 2.45645i | −0.0827231 | − | 0.0899370i | ||||
\(747\) | 7.27549 | + | 3.01361i | 0.266196 | + | 0.110262i | ||||
\(748\) | −5.24010 | + | 1.67385i | −0.191597 | + | 0.0612020i | ||||
\(749\) | 1.53040 | + | 3.69472i | 0.0559198 | + | 0.135002i | ||||
\(750\) | −0.786219 | + | 0.287832i | −0.0287086 | + | 0.0105102i | ||||
\(751\) | − | 5.15515i | − | 0.188114i | −0.995567 | − | 0.0940570i | \(-0.970016\pi\) | ||
0.995567 | − | 0.0940570i | \(-0.0299836\pi\) | |||||||
\(752\) | 38.7797 | + | 6.53809i | 1.41415 | + | 0.238420i | ||||
\(753\) | 27.9364i | 1.01806i | ||||||||
\(754\) | 2.40997 | + | 6.58288i | 0.0877660 | + | 0.239734i | ||||
\(755\) | 0.313029 | + | 0.755720i | 0.0113923 | + | 0.0275035i | ||||
\(756\) | −18.8444 | − | 9.72005i | −0.685365 | − | 0.353515i | ||||
\(757\) | 11.8137 | + | 4.89341i | 0.429378 | + | 0.177854i | 0.586897 | − | 0.809662i | \(-0.300349\pi\) |
−0.157519 | + | 0.987516i | \(0.550349\pi\) | |||||||
\(758\) | −6.95967 | + | 6.40144i | −0.252787 | + | 0.232511i | ||||
\(759\) | −16.9335 | + | 16.9335i | −0.614647 | + | 0.614647i | ||||
\(760\) | −0.222871 | − | 0.813419i | −0.00808440 | − | 0.0295058i | ||||
\(761\) | −9.86724 | − | 9.86724i | −0.357687 | − | 0.357687i | 0.505273 | − | 0.862960i | \(-0.331392\pi\) |
−0.862960 | + | 0.505273i | \(0.831392\pi\) | |||||||
\(762\) | −18.9164 | − | 0.790336i | −0.685267 | − | 0.0286309i | ||||
\(763\) | −9.45735 | + | 22.8321i | −0.342379 | + | 0.826576i | ||||
\(764\) | −3.48868 | − | 4.12610i | −0.126216 | − | 0.149277i | ||||
\(765\) | 0.0539369 | − | 0.0223414i | 0.00195009 | − | 0.000807755i | ||||
\(766\) | 26.2638 | + | 12.1870i | 0.948948 | + | 0.440335i | ||||
\(767\) | −2.97207 | −0.107315 | ||||||||
\(768\) | 22.4081 | − | 1.31572i | 0.808583 | − | 0.0474768i | ||||
\(769\) | −3.19833 | −0.115335 | −0.0576673 | − | 0.998336i |