Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(11,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.y (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 149.8 | ||
Character | \(\chi\) | \(=\) | 234.149 |
Dual form | 234.2.y.a.11.8 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | −1.36513 | − | 1.06603i | −0.788156 | − | 0.615475i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −3.36565 | + | 0.901822i | −1.50516 | + | 0.403307i | −0.914825 | − | 0.403850i | \(-0.867672\pi\) |
−0.590337 | + | 0.807157i | \(0.701005\pi\) | |||||||
\(6\) | −0.211491 | − | 1.71909i | −0.0863407 | − | 0.701816i | ||||
\(7\) | 0.0541850 | − | 0.0145188i | 0.0204800 | − | 0.00548760i | −0.248564 | − | 0.968615i | \(-0.579959\pi\) |
0.269045 | + | 0.963128i | \(0.413292\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.727143 | + | 2.91054i | 0.242381 | + | 0.970181i | ||||
\(10\) | −3.01756 | − | 1.74219i | −0.954235 | − | 0.550928i | ||||
\(11\) | −3.65076 | + | 3.65076i | −1.10075 | + | 1.10075i | −0.106426 | + | 0.994321i | \(0.533941\pi\) |
−0.994321 | + | 0.106426i | \(0.966059\pi\) | |||||||
\(12\) | 1.06603 | − | 1.36513i | 0.307737 | − | 0.394078i | ||||
\(13\) | −3.37979 | − | 1.25580i | −0.937385 | − | 0.348295i | ||||
\(14\) | 0.0485810 | + | 0.0280482i | 0.0129838 | + | 0.00749621i | ||||
\(15\) | 5.55591 | + | 2.35679i | 1.43453 | + | 0.608521i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.83057 | − | 3.17065i | −0.443979 | − | 0.768995i | 0.554001 | − | 0.832516i | \(-0.313100\pi\) |
−0.997980 | + | 0.0635211i | \(0.979767\pi\) | |||||||
\(18\) | −1.54390 | + | 2.57223i | −0.363900 | + | 0.606281i | ||||
\(19\) | 0.677531 | + | 0.181544i | 0.155436 | + | 0.0416491i | 0.335698 | − | 0.941970i | \(-0.391028\pi\) |
−0.180262 | + | 0.983619i | \(0.557694\pi\) | |||||||
\(20\) | −0.901822 | − | 3.36565i | −0.201654 | − | 0.752581i | ||||
\(21\) | −0.0894470 | − | 0.0379430i | −0.0195189 | − | 0.00827985i | ||||
\(22\) | −5.16296 | −1.10075 | ||||||||
\(23\) | 2.89347 | + | 5.01164i | 0.603330 | + | 1.04500i | 0.992313 | + | 0.123754i | \(0.0394933\pi\) |
−0.388982 | + | 0.921245i | \(0.627173\pi\) | |||||||
\(24\) | 1.71909 | − | 0.211491i | 0.350908 | − | 0.0431704i | ||||
\(25\) | 6.18416 | − | 3.57043i | 1.23683 | − | 0.714085i | ||||
\(26\) | −1.50189 | − | 3.27785i | −0.294545 | − | 0.642840i | ||||
\(27\) | 2.11009 | − | 4.74842i | 0.406088 | − | 0.913834i | ||||
\(28\) | 0.0145188 | + | 0.0541850i | 0.00274380 | + | 0.0102400i | ||||
\(29\) | − | 3.45319i | − | 0.641242i | −0.947208 | − | 0.320621i | \(-0.896108\pi\) | ||
0.947208 | − | 0.320621i | \(-0.103892\pi\) | |||||||
\(30\) | 2.26212 | + | 5.59512i | 0.413004 | + | 1.02152i | ||||
\(31\) | 1.54108 | + | 5.75138i | 0.276786 | + | 1.03298i | 0.954635 | + | 0.297778i | \(0.0962454\pi\) |
−0.677850 | + | 0.735201i | \(0.737088\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 8.87559 | − | 1.09192i | 1.54504 | − | 0.190079i | ||||
\(34\) | 0.947575 | − | 3.53640i | 0.162508 | − | 0.606487i | ||||
\(35\) | −0.169274 | + | 0.0977305i | −0.0286126 | + | 0.0165195i | ||||
\(36\) | −2.91054 | + | 0.727143i | −0.485091 | + | 0.121191i | ||||
\(37\) | 7.28892 | − | 1.95306i | 1.19829 | − | 0.321081i | 0.396134 | − | 0.918193i | \(-0.370352\pi\) |
0.802158 | + | 0.597112i | \(0.203685\pi\) | |||||||
\(38\) | 0.350716 | + | 0.607458i | 0.0568937 | + | 0.0985427i | ||||
\(39\) | 3.27512 | + | 5.31729i | 0.524439 | + | 0.851448i | ||||
\(40\) | 1.74219 | − | 3.01756i | 0.275464 | − | 0.477117i | ||||
\(41\) | −0.780112 | + | 2.91142i | −0.121833 | + | 0.454687i | −0.999707 | − | 0.0242048i | \(-0.992295\pi\) |
0.877874 | + | 0.478892i | \(0.158961\pi\) | |||||||
\(42\) | −0.0364188 | − | 0.0900783i | −0.00561955 | − | 0.0138994i | ||||
\(43\) | −4.70232 | − | 2.71489i | −0.717097 | − | 0.414016i | 0.0965863 | − | 0.995325i | \(-0.469208\pi\) |
−0.813683 | + | 0.581309i | \(0.802541\pi\) | |||||||
\(44\) | −3.65076 | − | 3.65076i | −0.550373 | − | 0.550373i | ||||
\(45\) | −5.07210 | − | 9.14010i | −0.756104 | − | 1.36253i | ||||
\(46\) | −1.49777 | + | 5.58976i | −0.220834 | + | 0.824165i | ||||
\(47\) | −4.82793 | − | 1.29364i | −0.704226 | − | 0.188697i | −0.111103 | − | 0.993809i | \(-0.535439\pi\) |
−0.593123 | + | 0.805112i | \(0.702105\pi\) | |||||||
\(48\) | 1.36513 | + | 1.06603i | 0.197039 | + | 0.153869i | ||||
\(49\) | −6.05945 | + | 3.49843i | −0.865636 | + | 0.499775i | ||||
\(50\) | 6.89754 | + | 1.84819i | 0.975459 | + | 0.261373i | ||||
\(51\) | −0.881051 | + | 6.27979i | −0.123372 | + | 0.879346i | ||||
\(52\) | 1.25580 | − | 3.37979i | 0.174148 | − | 0.468692i | ||||
\(53\) | 3.89525i | 0.535053i | 0.963550 | + | 0.267527i | \(0.0862064\pi\) | ||||
−0.963550 | + | 0.267527i | \(0.913794\pi\) | |||||||
\(54\) | 4.84970 | − | 1.86558i | 0.659961 | − | 0.253873i | ||||
\(55\) | 8.99483 | − | 15.5795i | 1.21286 | − | 2.10074i | ||||
\(56\) | −0.0280482 | + | 0.0485810i | −0.00374810 | + | 0.00649190i | ||||
\(57\) | −0.731384 | − | 0.970102i | −0.0968742 | − | 0.128493i | ||||
\(58\) | 2.44178 | − | 2.44178i | 0.320621 | − | 0.320621i | ||||
\(59\) | 0.745519 | − | 0.745519i | 0.0970583 | − | 0.0970583i | −0.656910 | − | 0.753969i | \(-0.728137\pi\) |
0.753969 | + | 0.656910i | \(0.228137\pi\) | |||||||
\(60\) | −2.35679 | + | 5.55591i | −0.304260 | + | 0.717264i | ||||
\(61\) | 1.50195 | − | 2.60145i | 0.192305 | − | 0.333082i | −0.753709 | − | 0.657209i | \(-0.771737\pi\) |
0.946014 | + | 0.324127i | \(0.105070\pi\) | |||||||
\(62\) | −2.97713 | + | 5.15654i | −0.378096 | + | 0.654882i | ||||
\(63\) | 0.0816580 | + | 0.147151i | 0.0102879 | + | 0.0185392i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 12.5077 | + | 1.17860i | 1.55139 | + | 0.146187i | ||||
\(66\) | 7.04809 | + | 5.50389i | 0.867560 | + | 0.677482i | ||||
\(67\) | −10.5121 | − | 2.81672i | −1.28426 | − | 0.344117i | −0.448784 | − | 0.893640i | \(-0.648143\pi\) |
−0.835478 | + | 0.549524i | \(0.814809\pi\) | |||||||
\(68\) | 3.17065 | − | 1.83057i | 0.384497 | − | 0.221990i | ||||
\(69\) | 1.39262 | − | 9.92606i | 0.167652 | − | 1.19496i | ||||
\(70\) | −0.188801 | − | 0.0505890i | −0.0225660 | − | 0.00604655i | ||||
\(71\) | −3.98742 | + | 14.8813i | −0.473220 | + | 1.76608i | 0.154865 | + | 0.987936i | \(0.450506\pi\) |
−0.628085 | + | 0.778145i | \(0.716161\pi\) | |||||||
\(72\) | −2.57223 | − | 1.54390i | −0.303141 | − | 0.181950i | ||||
\(73\) | 5.86521 | + | 5.86521i | 0.686471 | + | 0.686471i | 0.961450 | − | 0.274979i | \(-0.0886710\pi\) |
−0.274979 | + | 0.961450i | \(0.588671\pi\) | |||||||
\(74\) | 6.53507 | + | 3.77302i | 0.759687 | + | 0.438605i | ||||
\(75\) | −12.2484 | − | 1.71844i | −1.41432 | − | 0.198428i | ||||
\(76\) | −0.181544 | + | 0.677531i | −0.0208245 | + | 0.0777182i | ||||
\(77\) | −0.144812 | + | 0.250821i | −0.0165028 | + | 0.0285838i | ||||
\(78\) | −1.44403 | + | 6.07575i | −0.163504 | + | 0.687944i | ||||
\(79\) | 2.76723 | + | 4.79298i | 0.311338 | + | 0.539253i | 0.978652 | − | 0.205523i | \(-0.0658896\pi\) |
−0.667314 | + | 0.744776i | \(0.732556\pi\) | |||||||
\(80\) | 3.36565 | − | 0.901822i | 0.376291 | − | 0.100827i | ||||
\(81\) | −7.94252 | + | 4.23277i | −0.882503 | + | 0.470307i | ||||
\(82\) | −2.61030 | + | 1.50706i | −0.288260 | + | 0.166427i | ||||
\(83\) | −4.13340 | + | 15.4261i | −0.453699 | + | 1.69323i | 0.238184 | + | 0.971220i | \(0.423448\pi\) |
−0.691883 | + | 0.722009i | \(0.743219\pi\) | |||||||
\(84\) | 0.0379430 | − | 0.0894470i | 0.00413992 | − | 0.00975947i | ||||
\(85\) | 9.02042 | + | 9.02042i | 0.978402 | + | 0.978402i | ||||
\(86\) | −1.40533 | − | 5.24476i | −0.151540 | − | 0.565556i | ||||
\(87\) | −3.68122 | + | 4.71405i | −0.394668 | + | 0.505399i | ||||
\(88\) | − | 5.16296i | − | 0.550373i | ||||||
\(89\) | −4.41179 | − | 16.4650i | −0.467649 | − | 1.74529i | −0.647955 | − | 0.761679i | \(-0.724375\pi\) |
0.180306 | − | 0.983611i | \(-0.442291\pi\) | |||||||
\(90\) | 2.87651 | − | 10.0495i | 0.303211 | − | 1.05932i | ||||
\(91\) | −0.201367 | − | 0.0189747i | −0.0211090 | − | 0.00198909i | ||||
\(92\) | −5.01164 | + | 2.89347i | −0.522500 | + | 0.301665i | ||||
\(93\) | 4.02740 | − | 9.49420i | 0.417622 | − | 0.984503i | ||||
\(94\) | −2.49912 | − | 4.32861i | −0.257765 | − | 0.446462i | ||||
\(95\) | −2.44405 | −0.250754 | ||||||||
\(96\) | 0.211491 | + | 1.71909i | 0.0215852 | + | 0.175454i | ||||
\(97\) | −0.595628 | − | 2.22292i | −0.0604769 | − | 0.225703i | 0.929072 | − | 0.369898i | \(-0.120607\pi\) |
−0.989549 | + | 0.144195i | \(0.953941\pi\) | |||||||
\(98\) | −6.75844 | − | 1.81092i | −0.682706 | − | 0.182930i | ||||
\(99\) | −13.2803 | − | 7.97107i | −1.33472 | − | 0.801123i | ||||
\(100\) | 3.57043 | + | 6.18416i | 0.357043 | + | 0.618416i | ||||
\(101\) | −3.52328 | −0.350580 | −0.175290 | − | 0.984517i | \(-0.556086\pi\) | ||||
−0.175290 | + | 0.984517i | \(0.556086\pi\) | |||||||
\(102\) | −5.06348 | + | 3.81748i | −0.501359 | + | 0.377987i | ||||
\(103\) | 5.20698 | + | 3.00625i | 0.513059 | + | 0.296215i | 0.734090 | − | 0.679052i | \(-0.237609\pi\) |
−0.221031 | + | 0.975267i | \(0.570942\pi\) | |||||||
\(104\) | 3.27785 | − | 1.50189i | 0.321420 | − | 0.147272i | ||||
\(105\) | 0.335265 | + | 0.0470375i | 0.0327185 | + | 0.00459039i | ||||
\(106\) | −2.75436 | + | 2.75436i | −0.267527 | + | 0.267527i | ||||
\(107\) | 14.5555 | + | 8.40363i | 1.40714 | + | 0.812410i | 0.995111 | − | 0.0987630i | \(-0.0314886\pi\) |
0.412024 | + | 0.911173i | \(0.364822\pi\) | |||||||
\(108\) | 4.74842 | + | 2.11009i | 0.456917 | + | 0.203044i | ||||
\(109\) | −14.0667 | + | 14.0667i | −1.34734 | + | 1.34734i | −0.458806 | + | 0.888537i | \(0.651723\pi\) |
−0.888537 | + | 0.458806i | \(0.848277\pi\) | |||||||
\(110\) | 17.3767 | − | 4.65607i | 1.65680 | − | 0.443939i | ||||
\(111\) | −12.0323 | − | 5.10406i | −1.14206 | − | 0.484456i | ||||
\(112\) | −0.0541850 | + | 0.0145188i | −0.00512000 | + | 0.00137190i | ||||
\(113\) | − | 19.5681i | − | 1.84082i | −0.390960 | − | 0.920408i | \(-0.627857\pi\) | ||
0.390960 | − | 0.920408i | \(-0.372143\pi\) | |||||||
\(114\) | 0.168799 | − | 1.20313i | 0.0158095 | − | 0.112684i | ||||
\(115\) | −14.2580 | − | 14.2580i | −1.32957 | − | 1.32957i | ||||
\(116\) | 3.45319 | 0.320621 | ||||||||
\(117\) | 1.19746 | − | 10.7502i | 0.110705 | − | 0.993853i | ||||
\(118\) | 1.05432 | 0.0970583 | ||||||||
\(119\) | −0.145224 | − | 0.145224i | −0.0133126 | − | 0.0133126i | ||||
\(120\) | −5.59512 | + | 2.26212i | −0.510762 | + | 0.206502i | ||||
\(121\) | − | 15.6561i | − | 1.42328i | ||||||
\(122\) | 2.90154 | − | 0.777466i | 0.262693 | − | 0.0703885i | ||||
\(123\) | 4.16862 | − | 3.14283i | 0.375872 | − | 0.283379i | ||||
\(124\) | −5.75138 | + | 1.54108i | −0.516489 | + | 0.138393i | ||||
\(125\) | −5.27469 | + | 5.27469i | −0.471782 | + | 0.471782i | ||||
\(126\) | −0.0463103 | + | 0.161792i | −0.00412565 | + | 0.0144136i | ||||
\(127\) | −0.00248320 | − | 0.00143368i | −0.000220349 | − | 0.000127218i | 0.499890 | − | 0.866089i | \(-0.333374\pi\) |
−0.500110 | + | 0.865962i | \(0.666707\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 3.52510 | + | 8.71899i | 0.310368 | + | 0.767665i | ||||
\(130\) | 8.01087 | + | 9.67766i | 0.702600 | + | 0.848787i | ||||
\(131\) | −10.8797 | − | 6.28138i | −0.950562 | − | 0.548807i | −0.0573063 | − | 0.998357i | \(-0.518251\pi\) |
−0.893255 | + | 0.449550i | \(0.851584\pi\) | |||||||
\(132\) | 1.09192 | + | 8.87559i | 0.0950393 | + | 0.772521i | ||||
\(133\) | 0.0393479 | 0.00341189 | ||||||||
\(134\) | −5.44148 | − | 9.42492i | −0.470072 | − | 0.814189i | ||||
\(135\) | −2.81960 | + | 17.8844i | −0.242673 | + | 1.53925i | ||||
\(136\) | 3.53640 | + | 0.947575i | 0.303244 | + | 0.0812539i | ||||
\(137\) | −3.63959 | − | 13.5832i | −0.310952 | − | 1.16049i | −0.927700 | − | 0.373327i | \(-0.878217\pi\) |
0.616748 | − | 0.787160i | \(-0.288450\pi\) | |||||||
\(138\) | 8.00352 | − | 6.03405i | 0.681305 | − | 0.513653i | ||||
\(139\) | 0.313887 | 0.0266236 | 0.0133118 | − | 0.999911i | \(-0.495763\pi\) | ||||
0.0133118 | + | 0.999911i | \(0.495763\pi\) | |||||||
\(140\) | −0.0977305 | − | 0.169274i | −0.00825973 | − | 0.0143063i | ||||
\(141\) | 5.21168 | + | 6.91272i | 0.438902 | + | 0.582156i | ||||
\(142\) | −13.3422 | + | 7.70311i | −1.11965 | + | 0.646430i | ||||
\(143\) | 16.9234 | − | 7.75420i | 1.41521 | − | 0.648438i | ||||
\(144\) | −0.727143 | − | 2.91054i | −0.0605953 | − | 0.242545i | ||||
\(145\) | 3.11417 | + | 11.6222i | 0.258617 | + | 0.965173i | ||||
\(146\) | 8.29466i | 0.686471i | ||||||||
\(147\) | 12.0014 | + | 1.68379i | 0.989856 | + | 0.138876i | ||||
\(148\) | 1.95306 | + | 7.28892i | 0.160541 | + | 0.599146i | ||||
\(149\) | 4.31299 | + | 4.31299i | 0.353334 | + | 0.353334i | 0.861349 | − | 0.508014i | \(-0.169620\pi\) |
−0.508014 | + | 0.861349i | \(0.669620\pi\) | |||||||
\(150\) | −7.44578 | − | 9.87602i | −0.607945 | − | 0.806374i | ||||
\(151\) | −2.90331 | + | 10.8353i | −0.236268 | + | 0.881766i | 0.741305 | + | 0.671169i | \(0.234207\pi\) |
−0.977573 | + | 0.210597i | \(0.932459\pi\) | |||||||
\(152\) | −0.607458 | + | 0.350716i | −0.0492714 | + | 0.0284468i | ||||
\(153\) | 7.89721 | − | 7.63348i | 0.638452 | − | 0.617130i | ||||
\(154\) | −0.279755 | + | 0.0749601i | −0.0225433 | + | 0.00604046i | ||||
\(155\) | −10.3734 | − | 17.9673i | −0.833215 | − | 1.44317i | ||||
\(156\) | −5.31729 | + | 3.27512i | −0.425724 | + | 0.262220i | ||||
\(157\) | −6.52002 | + | 11.2930i | −0.520354 | + | 0.901280i | 0.479366 | + | 0.877615i | \(0.340867\pi\) |
−0.999720 | + | 0.0236645i | \(0.992467\pi\) | |||||||
\(158\) | −1.43242 | + | 5.34588i | −0.113958 | + | 0.425295i | ||||
\(159\) | 4.15247 | − | 5.31751i | 0.329312 | − | 0.421706i | ||||
\(160\) | 3.01756 | + | 1.74219i | 0.238559 | + | 0.137732i | ||||
\(161\) | 0.229546 | + | 0.229546i | 0.0180908 | + | 0.0180908i | ||||
\(162\) | −8.60923 | − | 2.62320i | −0.676405 | − | 0.206098i | ||||
\(163\) | −1.44937 | + | 5.40913i | −0.113524 | + | 0.423676i | −0.999172 | − | 0.0406802i | \(-0.987048\pi\) |
0.885649 | + | 0.464356i | \(0.153714\pi\) | |||||||
\(164\) | −2.91142 | − | 0.780112i | −0.227343 | − | 0.0609165i | ||||
\(165\) | −28.8874 | + | 11.6792i | −2.24888 | + | 0.909225i | ||||
\(166\) | −13.8306 | + | 7.98511i | −1.07346 | + | 0.619765i | ||||
\(167\) | 8.94898 | + | 2.39787i | 0.692493 | + | 0.185553i | 0.587866 | − | 0.808959i | \(-0.299968\pi\) |
0.104627 | + | 0.994512i | \(0.466635\pi\) | |||||||
\(168\) | 0.0900783 | − | 0.0364188i | 0.00694970 | − | 0.00280977i | ||||
\(169\) | 9.84595 | + | 8.48865i | 0.757381 | + | 0.652973i | ||||
\(170\) | 12.7568i | 0.978402i | ||||||||
\(171\) | −0.0357291 | + | 2.10399i | −0.00273228 | + | 0.160896i | ||||
\(172\) | 2.71489 | − | 4.70232i | 0.207008 | − | 0.358548i | ||||
\(173\) | −4.92325 | + | 8.52731i | −0.374307 | + | 0.648319i | −0.990223 | − | 0.139493i | \(-0.955453\pi\) |
0.615916 | + | 0.787812i | \(0.288786\pi\) | |||||||
\(174\) | −5.93635 | + | 0.730318i | −0.450034 | + | 0.0553653i | ||||
\(175\) | 0.283250 | − | 0.283250i | 0.0214117 | − | 0.0214117i | ||||
\(176\) | 3.65076 | − | 3.65076i | 0.275187 | − | 0.275187i | ||||
\(177\) | −1.81248 | + | 0.222980i | −0.136234 | + | 0.0167602i | ||||
\(178\) | 8.52292 | − | 14.7621i | 0.638820 | − | 1.10647i | ||||
\(179\) | 7.69779 | − | 13.3330i | 0.575360 | − | 0.996553i | −0.420642 | − | 0.907227i | \(-0.638195\pi\) |
0.996002 | − | 0.0893264i | \(-0.0284714\pi\) | |||||||
\(180\) | 9.14010 | − | 5.07210i | 0.681263 | − | 0.378052i | ||||
\(181\) | 17.1903i | 1.27774i | 0.769314 | + | 0.638871i | \(0.220598\pi\) | ||||
−0.769314 | + | 0.638871i | \(0.779402\pi\) | |||||||
\(182\) | −0.128971 | − | 0.155805i | −0.00955993 | − | 0.0115490i | ||||
\(183\) | −4.82359 | + | 1.95018i | −0.356570 | + | 0.144162i | ||||
\(184\) | −5.58976 | − | 1.49777i | −0.412082 | − | 0.110417i | ||||
\(185\) | −22.7706 | + | 13.1466i | −1.67413 | + | 0.966559i | ||||
\(186\) | 9.56122 | − | 3.86561i | 0.701062 | − | 0.283441i | ||||
\(187\) | 18.2583 | + | 4.89229i | 1.33518 | + | 0.357760i | ||||
\(188\) | 1.29364 | − | 4.82793i | 0.0943484 | − | 0.352113i | ||||
\(189\) | 0.0453940 | − | 0.287929i | 0.00330193 | − | 0.0209438i | ||||
\(190\) | −1.72821 | − | 1.72821i | −0.125377 | − | 0.125377i | ||||
\(191\) | −7.39988 | − | 4.27232i | −0.535436 | − | 0.309134i | 0.207791 | − | 0.978173i | \(-0.433373\pi\) |
−0.743227 | + | 0.669039i | \(0.766706\pi\) | |||||||
\(192\) | −1.06603 | + | 1.36513i | −0.0769344 | + | 0.0985196i | ||||
\(193\) | 0.157908 | − | 0.589319i | 0.0113664 | − | 0.0424201i | −0.960010 | − | 0.279967i | \(-0.909677\pi\) |
0.971376 | + | 0.237547i | \(0.0763432\pi\) | |||||||
\(194\) | 1.15067 | − | 1.99301i | 0.0826130 | − | 0.143090i | ||||
\(195\) | −15.8181 | − | 14.9425i | −1.13276 | − | 1.07006i | ||||
\(196\) | −3.49843 | − | 6.05945i | −0.249888 | − | 0.432818i | ||||
\(197\) | 17.3239 | − | 4.64193i | 1.23428 | − | 0.330724i | 0.418035 | − | 0.908431i | \(-0.362719\pi\) |
0.816244 | + | 0.577707i | \(0.196052\pi\) | |||||||
\(198\) | −3.75421 | − | 15.0270i | −0.266800 | − | 1.06792i | ||||
\(199\) | 17.2644 | − | 9.96763i | 1.22384 | − | 0.706586i | 0.258108 | − | 0.966116i | \(-0.416901\pi\) |
0.965735 | + | 0.259530i | \(0.0835675\pi\) | |||||||
\(200\) | −1.84819 | + | 6.89754i | −0.130687 | + | 0.487729i | ||||
\(201\) | 11.3477 | + | 15.0515i | 0.800404 | + | 1.06165i | ||||
\(202\) | −2.49134 | − | 2.49134i | −0.175290 | − | 0.175290i | ||||
\(203\) | −0.0501363 | − | 0.187111i | −0.00351888 | − | 0.0131326i | ||||
\(204\) | −6.27979 | − | 0.881051i | −0.439673 | − | 0.0616859i | ||||
\(205\) | − | 10.5023i | − | 0.733514i | ||||||
\(206\) | 1.55615 | + | 5.80763i | 0.108422 | + | 0.404637i | ||||
\(207\) | −12.4826 | + | 12.0658i | −0.867602 | + | 0.838628i | ||||
\(208\) | 3.37979 | + | 1.25580i | 0.234346 | + | 0.0870738i | ||||
\(209\) | −3.13628 | + | 1.81073i | −0.216941 | + | 0.125251i | ||||
\(210\) | 0.203807 | + | 0.270329i | 0.0140641 | + | 0.0186544i | ||||
\(211\) | −0.727198 | − | 1.25954i | −0.0500623 | − | 0.0867105i | 0.839908 | − | 0.542728i | \(-0.182609\pi\) |
−0.889971 | + | 0.456018i | \(0.849275\pi\) | |||||||
\(212\) | −3.89525 | −0.267527 | ||||||||
\(213\) | 21.3073 | − | 16.0641i | 1.45995 | − | 1.10069i | ||||
\(214\) | 4.35004 | + | 16.2346i | 0.297363 | + | 1.10977i | ||||
\(215\) | 18.2747 | + | 4.89669i | 1.24632 | + | 0.333951i | ||||
\(216\) | 1.86558 | + | 4.84970i | 0.126937 | + | 0.329980i | ||||
\(217\) | 0.167007 | + | 0.289264i | 0.0113371 | + | 0.0196365i | ||||
\(218\) | −19.8933 | −1.34734 | ||||||||
\(219\) | −1.75424 | − | 14.2593i | −0.118541 | − | 0.963552i | ||||
\(220\) | 15.5795 | + | 8.99483i | 1.05037 | + | 0.606432i | ||||
\(221\) | 2.20527 | + | 13.0149i | 0.148342 | + | 0.875480i | ||||
\(222\) | −4.89903 | − | 12.1173i | −0.328801 | − | 0.813258i | ||||
\(223\) | −3.00391 | + | 3.00391i | −0.201157 | + | 0.201157i | −0.800496 | − | 0.599339i | \(-0.795430\pi\) |
0.599339 | + | 0.800496i | \(0.295430\pi\) | |||||||
\(224\) | −0.0485810 | − | 0.0280482i | −0.00324595 | − | 0.00187405i | ||||
\(225\) | 14.8887 | + | 15.4031i | 0.992577 | + | 1.02687i | ||||
\(226\) | 13.8368 | − | 13.8368i | 0.920408 | − | 0.920408i | ||||
\(227\) | 22.5667 | − | 6.04673i | 1.49780 | − | 0.401335i | 0.585440 | − | 0.810716i | \(-0.300922\pi\) |
0.912364 | + | 0.409380i | \(0.134255\pi\) | |||||||
\(228\) | 0.970102 | − | 0.731384i | 0.0642466 | − | 0.0484371i | ||||
\(229\) | 5.96935 | − | 1.59948i | 0.394466 | − | 0.105697i | −0.0561332 | − | 0.998423i | \(-0.517877\pi\) |
0.450599 | + | 0.892727i | \(0.351210\pi\) | |||||||
\(230\) | − | 20.1639i | − | 1.32957i | ||||||
\(231\) | 0.465071 | − | 0.188029i | 0.0305994 | − | 0.0123714i | ||||
\(232\) | 2.44178 | + | 2.44178i | 0.160310 | + | 0.160310i | ||||
\(233\) | 1.20969 | 0.0792497 | 0.0396249 | − | 0.999215i | \(-0.487384\pi\) | ||||
0.0396249 | + | 0.999215i | \(0.487384\pi\) | |||||||
\(234\) | 8.44825 | − | 6.75479i | 0.552279 | − | 0.441574i | ||||
\(235\) | 17.4157 | 1.13608 | ||||||||
\(236\) | 0.745519 | + | 0.745519i | 0.0485292 | + | 0.0485292i | ||||
\(237\) | 1.33186 | − | 9.49299i | 0.0865138 | − | 0.616636i | ||||
\(238\) | − | 0.205377i | − | 0.0133126i | ||||||
\(239\) | 13.1345 | − | 3.51937i | 0.849599 | − | 0.227649i | 0.192353 | − | 0.981326i | \(-0.438388\pi\) |
0.657246 | + | 0.753676i | \(0.271721\pi\) | |||||||
\(240\) | −5.55591 | − | 2.35679i | −0.358632 | − | 0.152130i | ||||
\(241\) | −6.88614 | + | 1.84513i | −0.443575 | + | 0.118856i | −0.473692 | − | 0.880691i | \(-0.657079\pi\) |
0.0301165 | + | 0.999546i | \(0.490412\pi\) | |||||||
\(242\) | 11.0706 | − | 11.0706i | 0.711642 | − | 0.711642i | ||||
\(243\) | 15.3548 | + | 2.68874i | 0.985013 | + | 0.172483i | ||||
\(244\) | 2.60145 | + | 1.50195i | 0.166541 | + | 0.0961524i | ||||
\(245\) | 17.2390 | − | 17.2390i | 1.10136 | − | 1.10136i | ||||
\(246\) | 5.16997 | + | 0.725345i | 0.329625 | + | 0.0462463i | ||||
\(247\) | −2.06193 | − | 1.46442i | −0.131198 | − | 0.0931789i | ||||
\(248\) | −5.15654 | − | 2.97713i | −0.327441 | − | 0.189048i | ||||
\(249\) | 22.0873 | − | 16.6522i | 1.39973 | − | 1.05529i | ||||
\(250\) | −7.45953 | −0.471782 | ||||||||
\(251\) | 2.50999 | + | 4.34744i | 0.158429 | + | 0.274408i | 0.934302 | − | 0.356481i | \(-0.116024\pi\) |
−0.775873 | + | 0.630889i | \(0.782690\pi\) | |||||||
\(252\) | −0.147151 | + | 0.0816580i | −0.00926962 | + | 0.00514397i | ||||
\(253\) | −28.8597 | − | 7.73293i | −1.81439 | − | 0.486165i | ||||
\(254\) | −0.000742127 | − | 0.00276966i | −4.65652e−5 | − | 0.000173784i | ||||
\(255\) | −2.69795 | − | 21.9301i | −0.168952 | − | 1.37332i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 2.47055 | + | 4.27912i | 0.154109 | + | 0.266924i | 0.932734 | − | 0.360565i | \(-0.117416\pi\) |
−0.778625 | + | 0.627489i | \(0.784083\pi\) | |||||||
\(258\) | −3.67264 | + | 8.65788i | −0.228648 | + | 0.539016i | ||||
\(259\) | 0.366594 | − | 0.211653i | 0.0227791 | − | 0.0131515i | ||||
\(260\) | −1.17860 | + | 12.5077i | −0.0730934 | + | 0.775693i | ||||
\(261\) | 10.0507 | − | 2.51097i | 0.622121 | − | 0.155425i | ||||
\(262\) | −3.25148 | − | 12.1347i | −0.200877 | − | 0.749684i | ||||
\(263\) | − | 12.9065i | − | 0.795849i | −0.917418 | − | 0.397925i | \(-0.869731\pi\) | ||
0.917418 | − | 0.397925i | \(-0.130269\pi\) | |||||||
\(264\) | −5.50389 | + | 7.04809i | −0.338741 | + | 0.433780i | ||||
\(265\) | −3.51282 | − | 13.1100i | −0.215791 | − | 0.805342i | ||||
\(266\) | 0.0278231 | + | 0.0278231i | 0.00170595 | + | 0.00170595i | ||||
\(267\) | −11.5296 | + | 27.1800i | −0.705601 | + | 1.66339i | ||||
\(268\) | 2.81672 | − | 10.5121i | 0.172058 | − | 0.642131i | ||||
\(269\) | −22.4600 | + | 12.9673i | −1.36941 | + | 0.790630i | −0.990853 | − | 0.134948i | \(-0.956913\pi\) |
−0.378558 | + | 0.925577i | \(0.623580\pi\) | |||||||
\(270\) | −14.6400 | + | 10.6524i | −0.890960 | + | 0.648287i | ||||
\(271\) | −15.7870 | + | 4.23012i | −0.958992 | + | 0.256961i | −0.704174 | − | 0.710028i | \(-0.748682\pi\) |
−0.254819 | + | 0.966989i | \(0.582016\pi\) | |||||||
\(272\) | 1.83057 | + | 3.17065i | 0.110995 | + | 0.192249i | ||||
\(273\) | 0.254663 | + | 0.240567i | 0.0154129 | + | 0.0145598i | ||||
\(274\) | 7.03116 | − | 12.1783i | 0.424768 | − | 0.735719i | ||||
\(275\) | −9.54212 | + | 35.6117i | −0.575412 | + | 2.14747i | ||||
\(276\) | 9.92606 | + | 1.39262i | 0.597479 | + | 0.0838260i | ||||
\(277\) | −14.7653 | − | 8.52472i | −0.887158 | − | 0.512201i | −0.0141462 | − | 0.999900i | \(-0.504503\pi\) |
−0.873012 | + | 0.487699i | \(0.837836\pi\) | |||||||
\(278\) | 0.221952 | + | 0.221952i | 0.0133118 | + | 0.0133118i | ||||
\(279\) | −15.6191 | + | 8.66745i | −0.935088 | + | 0.518907i | ||||
\(280\) | 0.0505890 | − | 0.188801i | 0.00302327 | − | 0.0112830i | ||||
\(281\) | −3.85082 | − | 1.03182i | −0.229721 | − | 0.0615535i | 0.142122 | − | 0.989849i | \(-0.454607\pi\) |
−0.371843 | + | 0.928296i | \(0.621274\pi\) | |||||||
\(282\) | −1.20282 | + | 8.57325i | −0.0716270 | + | 0.510529i | ||||
\(283\) | −15.7258 | + | 9.07928i | −0.934801 | + | 0.539707i | −0.888327 | − | 0.459212i | \(-0.848132\pi\) |
−0.0464740 | + | 0.998920i | \(0.514798\pi\) | |||||||
\(284\) | −14.8813 | − | 3.98742i | −0.883040 | − | 0.236610i | ||||
\(285\) | 3.33644 | + | 2.60544i | 0.197634 | + | 0.154333i | ||||
\(286\) | 17.4497 | + | 6.48362i | 1.03182 | + | 0.383385i | ||||
\(287\) | 0.169081i | 0.00998056i | ||||||||
\(288\) | 1.54390 | − | 2.57223i | 0.0909750 | − | 0.151570i | ||||
\(289\) | 1.79800 | − | 3.11423i | 0.105765 | − | 0.183190i | ||||
\(290\) | −6.01611 | + | 10.4202i | −0.353278 | + | 0.611895i | ||||
\(291\) | −1.55659 | + | 3.66952i | −0.0912492 | + | 0.215111i | ||||
\(292\) | −5.86521 | + | 5.86521i | −0.343235 | + | 0.343235i | ||||
\(293\) | 14.4630 | − | 14.4630i | 0.844940 | − | 0.844940i | −0.144557 | − | 0.989497i | \(-0.546176\pi\) |
0.989497 | + | 0.144557i | \(0.0461756\pi\) | |||||||
\(294\) | 7.29563 | + | 9.67686i | 0.425490 | + | 0.564366i | ||||
\(295\) | −1.83683 | + | 3.18148i | −0.106944 | + | 0.185233i | ||||
\(296\) | −3.77302 | + | 6.53507i | −0.219303 | + | 0.379843i | ||||
\(297\) | 9.63190 | + | 25.0388i | 0.558900 | + | 1.45290i | ||||
\(298\) | 6.09950i | 0.353334i | ||||||||
\(299\) | −3.48573 | − | 20.5719i | −0.201585 | − | 1.18970i | ||||
\(300\) | 1.71844 | − | 12.2484i | 0.0992141 | − | 0.707159i | ||||
\(301\) | −0.294212 | − | 0.0788339i | −0.0169581 | − | 0.00454391i | ||||
\(302\) | −9.71468 | + | 5.60877i | −0.559017 | + | 0.322749i | ||||
\(303\) | 4.80973 | + | 3.75594i | 0.276312 | + | 0.215773i | ||||
\(304\) | −0.677531 | − | 0.181544i | −0.0388591 | − | 0.0104123i | ||||
\(305\) | −2.70898 | + | 10.1101i | −0.155116 | + | 0.578900i | ||||
\(306\) | 10.9819 | + | 0.186489i | 0.627791 | + | 0.0106609i | ||||
\(307\) | −6.72055 | − | 6.72055i | −0.383562 | − | 0.383562i | 0.488822 | − | 0.872384i | \(-0.337427\pi\) |
−0.872384 | + | 0.488822i | \(0.837427\pi\) | |||||||
\(308\) | −0.250821 | − | 0.144812i | −0.0142919 | − | 0.00825142i | ||||
\(309\) | −3.90342 | − | 9.65473i | −0.222058 | − | 0.549238i | ||||
\(310\) | 5.36969 | − | 20.0399i | 0.304978 | − | 1.13819i | ||||
\(311\) | −1.80968 | + | 3.13446i | −0.102618 | + | 0.177739i | −0.912762 | − | 0.408491i | \(-0.866055\pi\) |
0.810145 | + | 0.586230i | \(0.199388\pi\) | |||||||
\(312\) | −6.07575 | − | 1.44403i | −0.343972 | − | 0.0817522i | ||||
\(313\) | −9.03947 | − | 15.6568i | −0.510941 | − | 0.884975i | −0.999920 | − | 0.0126797i | \(-0.995964\pi\) |
0.488979 | − | 0.872296i | \(-0.337370\pi\) | |||||||
\(314\) | −12.5957 | + | 3.37501i | −0.710817 | + | 0.190463i | ||||
\(315\) | −0.407535 | − | 0.421616i | −0.0229620 | − | 0.0237554i | ||||
\(316\) | −4.79298 | + | 2.76723i | −0.269626 | + | 0.155669i | ||||
\(317\) | −2.76420 | + | 10.3161i | −0.155253 | + | 0.579412i | 0.843830 | + | 0.536610i | \(0.180295\pi\) |
−0.999084 | + | 0.0428025i | \(0.986371\pi\) | |||||||
\(318\) | 6.69628 | − | 0.823809i | 0.375509 | − | 0.0461969i | ||||
\(319\) | 12.6068 | + | 12.6068i | 0.705845 | + | 0.705845i | ||||
\(320\) | 0.901822 | + | 3.36565i | 0.0504134 | + | 0.188145i | ||||
\(321\) | −10.9116 | − | 26.9887i | −0.609025 | − | 1.50636i | ||||
\(322\) | 0.324627i | 0.0180908i | ||||||||
\(323\) | −0.664659 | − | 2.48054i | −0.0369826 | − | 0.138021i | ||||
\(324\) | −4.23277 | − | 7.94252i | −0.235154 | − | 0.441251i | ||||
\(325\) | −25.3849 | + | 4.30125i | −1.40810 | + | 0.238590i | ||||
\(326\) | −4.84969 | + | 2.79997i | −0.268600 | + | 0.155076i | ||||
\(327\) | 34.1983 | − | 4.20724i | 1.89117 | − | 0.232661i | ||||
\(328\) | −1.50706 | − | 2.61030i | −0.0832135 | − | 0.144130i | ||||
\(329\) | −0.280384 | −0.0154581 | ||||||||
\(330\) | −28.6849 | − | 12.1680i | −1.57905 | − | 0.669827i | ||||
\(331\) | −0.861097 | − | 3.21366i | −0.0473301 | − | 0.176639i | 0.938215 | − | 0.346054i | \(-0.112479\pi\) |
−0.985545 | + | 0.169416i | \(0.945812\pi\) | |||||||
\(332\) | −15.4261 | − | 4.13340i | −0.846615 | − | 0.226850i | ||||
\(333\) | 10.9846 | + | 19.7946i | 0.601950 | + | 1.08474i | ||||
\(334\) | 4.63233 | + | 8.02344i | 0.253470 | + | 0.439023i | ||||
\(335\) | 37.9203 | 2.07181 | ||||||||
\(336\) | 0.0894470 | + | 0.0379430i | 0.00487973 | + | 0.00206996i | ||||
\(337\) | 2.50494 | + | 1.44623i | 0.136453 | + | 0.0787811i | 0.566672 | − | 0.823943i | \(-0.308231\pi\) |
−0.430220 | + | 0.902724i | \(0.641564\pi\) | |||||||
\(338\) | 0.959757 | + | 12.9645i | 0.0522039 | + | 0.705177i | ||||
\(339\) | −20.8603 | + | 26.7130i | −1.13298 | + | 1.45085i | ||||
\(340\) | −9.02042 | + | 9.02042i | −0.489201 | + | 0.489201i | ||||
\(341\) | −26.6230 | − | 15.3708i | −1.44172 | − | 0.832376i | ||||
\(342\) | −1.51301 | + | 1.46248i | −0.0818143 | + | 0.0790821i | ||||
\(343\) | −0.555202 | + | 0.555202i | −0.0299781 | + | 0.0299781i | ||||
\(344\) | 5.24476 | − | 1.40533i | 0.282778 | − | 0.0757702i | ||||
\(345\) | 4.26447 | + | 34.6635i | 0.229591 | + | 1.86622i | ||||
\(346\) | −9.51098 | + | 2.54846i | −0.511313 | + | 0.137006i | ||||
\(347\) | 17.9932i | 0.965923i | 0.875642 | + | 0.482962i | \(0.160439\pi\) | ||||
−0.875642 | + | 0.482962i | \(0.839561\pi\) | |||||||
\(348\) | −4.71405 | − | 3.68122i | −0.252699 | − | 0.197334i | ||||
\(349\) | 18.3144 | + | 18.3144i | 0.980348 | + | 0.980348i | 0.999811 | − | 0.0194630i | \(-0.00619566\pi\) |
−0.0194630 | + | 0.999811i | \(0.506196\pi\) | |||||||
\(350\) | 0.400577 | 0.0214117 | ||||||||
\(351\) | −13.0947 | + | 13.3988i | −0.698945 | + | 0.715176i | ||||
\(352\) | 5.16296 | 0.275187 | ||||||||
\(353\) | −2.10008 | − | 2.10008i | −0.111776 | − | 0.111776i | 0.649007 | − | 0.760783i | \(-0.275185\pi\) |
−0.760783 | + | 0.649007i | \(0.775185\pi\) | |||||||
\(354\) | −1.43929 | − | 1.12394i | −0.0764971 | − | 0.0597370i | ||||
\(355\) | − | 53.6810i | − | 2.84909i | ||||||
\(356\) | 16.4650 | − | 4.41179i | 0.872645 | − | 0.233824i | ||||
\(357\) | 0.0434354 | + | 0.353062i | 0.00229885 | + | 0.0186860i | ||||
\(358\) | 14.8710 | − | 3.98467i | 0.785957 | − | 0.210596i | ||||
\(359\) | 0.0334095 | − | 0.0334095i | 0.00176329 | − | 0.00176329i | −0.706225 | − | 0.707988i | \(-0.749603\pi\) |
0.707988 | + | 0.706225i | \(0.249603\pi\) | |||||||
\(360\) | 10.0495 | + | 2.87651i | 0.529658 | + | 0.151606i | ||||
\(361\) | −16.0284 | − | 9.25400i | −0.843600 | − | 0.487052i | ||||
\(362\) | −12.1554 | + | 12.1554i | −0.638871 | + | 0.638871i | ||||
\(363\) | −16.6900 | + | 21.3726i | −0.875996 | + | 1.12177i | ||||
\(364\) | 0.0189747 | − | 0.201367i | 0.000994546 | − | 0.0105545i | ||||
\(365\) | −25.0296 | − | 14.4508i | −1.31011 | − | 0.756392i | ||||
\(366\) | −4.78978 | − | 2.03180i | −0.250366 | − | 0.106204i | ||||
\(367\) | −9.50010 | −0.495901 | −0.247951 | − | 0.968773i | \(-0.579757\pi\) | ||||
−0.247951 | + | 0.968773i | \(0.579757\pi\) | |||||||
\(368\) | −2.89347 | − | 5.01164i | −0.150833 | − | 0.261250i | ||||
\(369\) | −9.04106 | − | 0.153531i | −0.470659 | − | 0.00799253i | ||||
\(370\) | −25.3973 | − | 6.80519i | −1.32034 | − | 0.353785i | ||||
\(371\) | 0.0565545 | + | 0.211064i | 0.00293616 | + | 0.0109579i | ||||
\(372\) | 9.49420 | + | 4.02740i | 0.492251 | + | 0.208811i | ||||
\(373\) | 26.8580 | 1.39066 | 0.695328 | − | 0.718693i | \(-0.255259\pi\) | ||||
0.695328 | + | 0.718693i | \(0.255259\pi\) | |||||||
\(374\) | 9.45117 | + | 16.3699i | 0.488709 | + | 0.846468i | ||||
\(375\) | 12.8236 | − | 1.57762i | 0.662208 | − | 0.0814681i | ||||
\(376\) | 4.32861 | − | 2.49912i | 0.223231 | − | 0.128882i | ||||
\(377\) | −4.33651 | + | 11.6711i | −0.223341 | + | 0.601090i | ||||
\(378\) | 0.235695 | − | 0.171498i | 0.0121229 | − | 0.00882093i | ||||
\(379\) | 4.93097 | + | 18.4026i | 0.253287 | + | 0.945279i | 0.969036 | + | 0.246921i | \(0.0794189\pi\) |
−0.715749 | + | 0.698358i | \(0.753914\pi\) | |||||||
\(380\) | − | 2.44405i | − | 0.125377i | ||||||
\(381\) | 0.00186154 | + | 0.00460433i | 9.53696e−5 | + | 0.000235887i | ||||
\(382\) | −2.21152 | − | 8.25349i | −0.113151 | − | 0.422285i | ||||
\(383\) | −6.76886 | − | 6.76886i | −0.345873 | − | 0.345873i | 0.512697 | − | 0.858570i | \(-0.328646\pi\) |
−0.858570 | + | 0.512697i | \(0.828646\pi\) | |||||||
\(384\) | −1.71909 | + | 0.211491i | −0.0877270 | + | 0.0107926i | ||||
\(385\) | 0.261189 | − | 0.974771i | 0.0133114 | − | 0.0496789i | ||||
\(386\) | 0.528369 | − | 0.305054i | 0.0268933 | − | 0.0155268i | ||||
\(387\) | 4.48253 | − | 15.6604i | 0.227860 | − | 0.796064i | ||||
\(388\) | 2.22292 | − | 0.595628i | 0.112851 | − | 0.0302384i | ||||
\(389\) | 4.60612 | + | 7.97804i | 0.233540 | + | 0.404502i | 0.958847 | − | 0.283922i | \(-0.0916358\pi\) |
−0.725308 | + | 0.688425i | \(0.758302\pi\) | |||||||
\(390\) | −0.619146 | − | 21.7511i | −0.0313517 | − | 1.10141i | ||||
\(391\) | 10.5934 | − | 18.3484i | 0.535733 | − | 0.927916i | ||||
\(392\) | 1.81092 | − | 6.75844i | 0.0914652 | − | 0.341353i | ||||
\(393\) | 8.15597 | + | 20.1730i | 0.411414 | + | 1.01759i | ||||
\(394\) | 15.5322 | + | 8.96753i | 0.782502 | + | 0.451777i | ||||
\(395\) | −13.6359 | − | 13.6359i | −0.686098 | − | 0.686098i | ||||
\(396\) | 7.97107 | − | 13.2803i | 0.400562 | − | 0.667362i | ||||
\(397\) | 7.23488 | − | 27.0009i | 0.363108 | − | 1.35514i | −0.506859 | − | 0.862029i | \(-0.669194\pi\) |
0.869967 | − | 0.493110i | \(-0.164140\pi\) | |||||||
\(398\) | 19.2560 | + | 5.15962i | 0.965215 | + | 0.258629i | ||||
\(399\) | −0.0537148 | − | 0.0419462i | −0.00268910 | − | 0.00209993i | ||||
\(400\) | −6.18416 | + | 3.57043i | −0.309208 | + | 0.178521i | ||||
\(401\) | −8.59039 | − | 2.30179i | −0.428984 | − | 0.114946i | 0.0378654 | − | 0.999283i | \(-0.487944\pi\) |
−0.466849 | + | 0.884337i | \(0.654611\pi\) | |||||||
\(402\) | −2.61897 | + | 18.6670i | −0.130623 | + | 0.931026i | ||||
\(403\) | 2.01404 | − | 21.3737i | 0.100327 | − | 1.06470i | ||||
\(404\) | − | 3.52328i | − | 0.175290i | ||||||
\(405\) | 22.9145 | − | 21.4087i | 1.13863 | − | 1.06381i | ||||
\(406\) | 0.0968559 | − | 0.167759i | 0.00480688 | − | 0.00832576i | ||||
\(407\) | −19.4800 | + | 33.7403i | −0.965586 | + | 1.67244i | ||||
\(408\) | −3.81748 | − | 5.06348i | −0.188994 | − | 0.250680i | ||||
\(409\) | −24.6479 | + | 24.6479i | −1.21876 | + | 1.21876i | −0.250692 | + | 0.968067i | \(0.580658\pi\) |
−0.968067 | + | 0.250692i | \(0.919342\pi\) | |||||||
\(410\) | 7.42626 | − | 7.42626i | 0.366757 | − | 0.366757i | ||||
\(411\) | −9.51159 | + | 22.4227i | −0.469172 | + | 1.10603i | ||||
\(412\) | −3.00625 | + | 5.20698i | −0.148107 | + | 0.256529i | ||||
\(413\) | 0.0295719 | − | 0.0512200i | 0.00145514 | − | 0.00252037i | ||||
\(414\) | −17.3583 | − | 0.294772i | −0.853115 | − | 0.0144872i | ||||
\(415\) | − | 55.6462i | − | 2.73157i | ||||||
\(416\) | 1.50189 | + | 3.27785i | 0.0736362 | + | 0.160710i | ||||
\(417\) | −0.428496 | − | 0.334614i | −0.0209835 | − | 0.0163861i | ||||
\(418\) | −3.49807 | − | 0.937304i | −0.171096 | − | 0.0458450i | ||||
\(419\) | 14.9055 | − | 8.60570i | 0.728182 | − | 0.420416i | −0.0895746 | − | 0.995980i | \(-0.528551\pi\) |
0.817757 | + | 0.575564i | \(0.195217\pi\) | |||||||
\(420\) | −0.0470375 | + | 0.335265i | −0.00229519 | + | 0.0163592i | ||||
\(421\) | 3.68017 | + | 0.986098i | 0.179360 | + | 0.0480595i | 0.347381 | − | 0.937724i | \(-0.387071\pi\) |
−0.168021 | + | 0.985783i | \(0.553738\pi\) | |||||||
\(422\) | 0.376425 | − | 1.40484i | 0.0183241 | − | 0.0683864i | ||||
\(423\) | 0.254598 | − | 14.9926i | 0.0123790 | − | 0.728964i | ||||
\(424\) | −2.75436 | − | 2.75436i | −0.133763 | − | 0.133763i | ||||
\(425\) | −22.6411 | − | 13.0719i | −1.09826 | − | 0.634078i | ||||
\(426\) | 26.4255 | + | 3.70749i | 1.28032 | + | 0.179628i | ||||
\(427\) | 0.0436131 | − | 0.162766i | 0.00211059 | − | 0.00787681i | ||||
\(428\) | −8.40363 | + | 14.5555i | −0.406205 | + | 0.703568i | ||||
\(429\) | −31.3689 | − | 7.45548i | −1.51450 | − | 0.359954i | ||||
\(430\) | 9.45967 | + | 16.3846i | 0.456186 | + | 0.790137i | ||||
\(431\) | −20.9081 | + | 5.60231i | −1.00711 | + | 0.269854i | −0.724420 | − | 0.689358i | \(-0.757893\pi\) |
−0.282687 | + | 0.959212i | \(0.591226\pi\) | |||||||
\(432\) | −2.11009 | + | 4.74842i | −0.101522 | + | 0.228459i | ||||
\(433\) | 15.1421 | − | 8.74227i | 0.727681 | − | 0.420127i | −0.0898923 | − | 0.995951i | \(-0.528652\pi\) |
0.817573 | + | 0.575825i | \(0.195319\pi\) | |||||||
\(434\) | −0.0864490 | + | 0.322632i | −0.00414968 | + | 0.0154868i | ||||
\(435\) | 8.13845 | − | 19.1856i | 0.390209 | − | 0.919880i | ||||
\(436\) | −14.0667 | − | 14.0667i | −0.673671 | − | 0.673671i | ||||
\(437\) | 1.05058 | + | 3.92084i | 0.0502563 | + | 0.187559i | ||||
\(438\) | 8.84239 | − | 11.3233i | 0.422506 | − | 0.541046i | ||||
\(439\) | 6.29999i | 0.300682i | 0.988634 | + | 0.150341i | \(0.0480372\pi\) | ||||
−0.988634 | + | 0.150341i | \(0.951963\pi\) | |||||||
\(440\) | 4.65607 | + | 17.3767i | 0.221969 | + | 0.828401i | ||||
\(441\) | −14.5884 | − | 15.0924i | −0.694686 | − | 0.718688i | ||||
\(442\) | −7.64360 | + | 10.7623i | −0.363569 | + | 0.511911i | ||||
\(443\) | −13.9547 | + | 8.05675i | −0.663007 | + | 0.382788i | −0.793422 | − | 0.608672i | \(-0.791703\pi\) |
0.130414 | + | 0.991460i | \(0.458369\pi\) | |||||||
\(444\) | 5.10406 | − | 12.0323i | 0.242228 | − | 0.571029i | ||||
\(445\) | 29.6970 | + | 51.4368i | 1.40778 | + | 2.43834i | ||||
\(446\) | −4.24818 | −0.201157 | ||||||||
\(447\) | −1.28999 | − | 10.4856i | −0.0610143 | − | 0.495951i | ||||
\(448\) | −0.0145188 | − | 0.0541850i | −0.000685950 | − | 0.00256000i | ||||
\(449\) | −18.3173 | − | 4.90811i | −0.864447 | − | 0.231628i | −0.200762 | − | 0.979640i | \(-0.564342\pi\) |
−0.663685 | + | 0.748012i | \(0.731009\pi\) | |||||||
\(450\) | −0.363737 | + | 21.4195i | −0.0171467 | + | 1.00972i | ||||
\(451\) | −7.78089 | − | 13.4769i | −0.366388 | − | 0.634602i | ||||
\(452\) | 19.5681 | 0.920408 | ||||||||
\(453\) | 15.5142 | − | 11.6966i | 0.728921 | − | 0.549552i | ||||
\(454\) | 20.2327 | + | 11.6814i | 0.949570 | + | 0.548234i | ||||
\(455\) | 0.694841 | − | 0.117735i | 0.0325746 | − | 0.00551949i | ||||
\(456\) | 1.20313 | + | 0.168799i | 0.0563418 | + | 0.00790473i | ||||
\(457\) | −11.9721 | + | 11.9721i | −0.560032 | + | 0.560032i | −0.929316 | − | 0.369285i | \(-0.879603\pi\) |
0.369285 | + | 0.929316i | \(0.379603\pi\) | |||||||
\(458\) | 5.35197 | + | 3.08996i | 0.250081 | + | 0.144384i | ||||
\(459\) | −18.9182 | + | 2.00197i | −0.883028 | + | 0.0934439i | ||||
\(460\) | 14.2580 | − | 14.2580i | 0.664783 | − | 0.664783i | ||||
\(461\) | 12.5113 | − | 3.35240i | 0.582711 | − | 0.156137i | 0.0445913 | − | 0.999005i | \(-0.485801\pi\) |
0.538120 | + | 0.842868i | \(0.319135\pi\) | |||||||
\(462\) | 0.461811 | + | 0.195898i | 0.0214854 | + | 0.00911401i | ||||
\(463\) | 17.0527 | − | 4.56925i | 0.792505 | − | 0.212351i | 0.160214 | − | 0.987082i | \(-0.448782\pi\) |
0.632291 | + | 0.774731i | \(0.282115\pi\) | |||||||
\(464\) | 3.45319i | 0.160310i | ||||||||
\(465\) | −4.99271 | + | 35.5861i | −0.231532 | + | 1.65027i | ||||
\(466\) | 0.855383 | + | 0.855383i | 0.0396249 | + | 0.0396249i | ||||
\(467\) | 21.1177 | 0.977210 | 0.488605 | − | 0.872505i | \(-0.337506\pi\) | ||||
0.488605 | + | 0.872505i | \(0.337506\pi\) | |||||||
\(468\) | 10.7502 | + | 1.19746i | 0.496927 | + | 0.0553524i | ||||
\(469\) | −0.610496 | −0.0281901 | ||||||||
\(470\) | 12.3148 | + | 12.3148i | 0.568039 | + | 0.568039i | ||||
\(471\) | 20.9394 | − | 8.46582i | 0.964835 | − | 0.390084i | ||||
\(472\) | 1.05432i | 0.0485292i | ||||||||
\(473\) | 27.0784 | − | 7.25565i | 1.24507 | − | 0.333615i | ||||
\(474\) | 7.65433 | − | 5.77079i | 0.351575 | − | 0.265061i | ||||
\(475\) | 4.83815 | − | 1.29638i | 0.221990 | − | 0.0594820i | ||||
\(476\) | 0.145224 | − | 0.145224i | 0.00665632 | − | 0.00665632i | ||||
\(477\) | −11.3373 | + | 2.83240i | −0.519099 | + | 0.129687i | ||||
\(478\) | 11.7761 | + | 6.79891i | 0.538624 | + | 0.310975i | ||||
\(479\) | −10.8748 | + | 10.8748i | −0.496883 | + | 0.496883i | −0.910466 | − | 0.413583i | \(-0.864277\pi\) |
0.413583 | + | 0.910466i | \(0.364277\pi\) | |||||||
\(480\) | −2.26212 | − | 5.59512i | −0.103251 | − | 0.255381i | ||||
\(481\) | −27.0877 | − | 2.55246i | −1.23509 | − | 0.116382i | ||||
\(482\) | −6.17394 | − | 3.56453i | −0.281215 | − | 0.162360i | ||||
\(483\) | −0.0686556 | − | 0.558063i | −0.00312394 | − | 0.0253928i | ||||
\(484\) | 15.6561 | 0.711642 | ||||||||
\(485\) | 4.00935 | + | 6.94439i | 0.182055 | + | 0.315329i | ||||
\(486\) | 8.95628 | + | 12.7587i | 0.406265 | + | 0.578748i | ||||
\(487\) | −15.1707 | − | 4.06498i | −0.687450 | − | 0.184202i | −0.101848 | − | 0.994800i | \(-0.532475\pi\) |
−0.585603 | + | 0.810598i | \(0.699142\pi\) | |||||||
\(488\) | 0.777466 | + | 2.90154i | 0.0351942 | + | 0.131347i | ||||
\(489\) | 7.74489 | − | 5.83907i | 0.350236 | − | 0.264052i | ||||
\(490\) | 24.3796 | 1.10136 | ||||||||
\(491\) | −3.19734 | − | 5.53796i | −0.144294 | − | 0.249925i | 0.784815 | − | 0.619730i | \(-0.212758\pi\) |
−0.929109 | + | 0.369805i | \(0.879424\pi\) | |||||||
\(492\) | 3.14283 | + | 4.16862i | 0.141690 | + | 0.187936i | ||||
\(493\) | −10.9489 | + | 6.32132i | −0.493112 | + | 0.284698i | ||||
\(494\) | −0.422503 | − | 2.49351i | −0.0190093 | − | 0.112188i | ||||
\(495\) | 51.8854 | + | 14.8513i | 2.33207 | + | 0.667517i | ||||
\(496\) | −1.54108 | − | 5.75138i | −0.0691964 | − | 0.258245i | ||||
\(497\) | 0.864234i | 0.0387662i | ||||||||
\(498\) | 27.3930 | + | 3.84322i | 1.22751 | + | 0.172219i | ||||
\(499\) | −1.98095 | − | 7.39299i | −0.0886794 | − | 0.330956i | 0.907306 | − | 0.420471i | \(-0.138135\pi\) |
−0.995985 | + | 0.0895148i | \(0.971468\pi\) | |||||||
\(500\) | −5.27469 | − | 5.27469i | −0.235891 | − | 0.235891i | ||||
\(501\) | −9.66028 | − | 12.8133i | −0.431590 | − | 0.572457i | ||||
\(502\) | −1.29927 | + | 4.84894i | −0.0579892 | + | 0.216419i | ||||
\(503\) | 6.97222 | − | 4.02541i | 0.310876 | − | 0.179484i | −0.336442 | − | 0.941704i | \(-0.609224\pi\) |
0.647318 | + | 0.762220i | \(0.275890\pi\) | |||||||
\(504\) | −0.161792 | − | 0.0463103i | −0.00720679 | − | 0.00206282i | ||||
\(505\) | 11.8581 | − | 3.17737i | 0.527679 | − | 0.141391i | ||||
\(506\) | −14.9389 | − | 25.8749i | −0.664114 | − | 1.15028i | ||||
\(507\) | −4.39179 | − | 22.0842i | −0.195046 | − | 0.980794i | ||||
\(508\) | 0.00143368 | − | 0.00248320i | 6.36092e−5 | − | 0.000110174i | ||||
\(509\) | −8.37966 | + | 31.2733i | −0.371422 | + | 1.38617i | 0.487081 | + | 0.873357i | \(0.338062\pi\) |
−0.858503 | + | 0.512809i | \(0.828605\pi\) | |||||||
\(510\) | 13.5992 | − | 17.4147i | 0.602182 | − | 0.771134i | ||||
\(511\) | 0.402962 | + | 0.232651i | 0.0178260 | + | 0.0102919i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 2.29170 | − | 2.83413i | 0.101181 | − | 0.125130i | ||||
\(514\) | −1.27885 | + | 4.77274i | −0.0564077 | + | 0.210517i | ||||
\(515\) | −20.2359 | − | 5.42221i | −0.891702 | − | 0.238931i | ||||
\(516\) | −8.71899 | + | 3.52510i | −0.383832 | + | 0.155184i | ||||
\(517\) | 22.3484 | − | 12.9029i | 0.982882 | − | 0.567467i | ||||
\(518\) | 0.408883 | + | 0.109560i | 0.0179653 | + | 0.00481378i | ||||
\(519\) | 15.8113 | − | 6.39252i | 0.694037 | − | 0.280600i | ||||
\(520\) | −9.67766 | + | 8.01087i | −0.424393 | + | 0.351300i | ||||
\(521\) | − | 3.95332i | − | 0.173198i | −0.996243 | − | 0.0865990i | \(-0.972400\pi\) | ||
0.996243 | − | 0.0865990i | \(-0.0275999\pi\) | |||||||
\(522\) | 8.88242 | + | 5.33137i | 0.388773 | + | 0.233348i | ||||
\(523\) | −19.7397 | + | 34.1901i | −0.863155 | + | 1.49503i | 0.00571276 | + | 0.999984i | \(0.498182\pi\) |
−0.868868 | + | 0.495044i | \(0.835152\pi\) | |||||||
\(524\) | 6.28138 | − | 10.8797i | 0.274403 | − | 0.475281i | ||||
\(525\) | −0.688627 | + | 0.0847183i | −0.0300542 | + | 0.00369741i | ||||
\(526\) | 9.12628 | − | 9.12628i | 0.397925 | − | 0.397925i | ||||
\(527\) | 15.4145 | − | 15.4145i | 0.671468 | − | 0.671468i | ||||
\(528\) | −8.87559 | + | 1.09192i | −0.386261 | + | 0.0475196i | ||||
\(529\) | −5.24435 | + | 9.08349i | −0.228015 | + | 0.394934i | ||||
\(530\) | 6.78625 | − | 11.7541i | 0.294776 | − | 0.510567i | ||||
\(531\) | 2.71197 | + | 1.62777i | 0.117689 | + | 0.0706390i | ||||
\(532\) | 0.0393479i | 0.00170595i | ||||||||
\(533\) | 6.29276 | − | 8.86031i | 0.272570 | − | 0.383783i | ||||
\(534\) | −27.3718 | + | 11.0665i | −1.18449 | + | 0.478893i | ||||
\(535\) | −56.5673 | − | 15.1572i | −2.44562 | − | 0.655301i | ||||
\(536\) | 9.42492 | − | 5.44148i | 0.407095 | − | 0.235036i | ||||
\(537\) | −24.7219 | + | 9.99509i | −1.06683 | + | 0.431320i | ||||
\(538\) | −25.0509 | − | 6.71236i | −1.08002 | − | 0.289391i | ||||
\(539\) | 9.34970 | − | 34.8935i | 0.402720 | − | 1.50297i | ||||
\(540\) | −17.8844 | − | 2.81960i | −0.769623 | − | 0.121336i | ||||
\(541\) | 8.65093 | + | 8.65093i | 0.371933 | + | 0.371933i | 0.868181 | − | 0.496248i | \(-0.165289\pi\) |
−0.496248 | + | 0.868181i | \(0.665289\pi\) | |||||||
\(542\) | −14.1542 | − | 8.17196i | −0.607977 | − | 0.351016i | ||||
\(543\) | 18.3254 | − | 23.4669i | 0.786419 | − | 1.00706i | ||||
\(544\) | −0.947575 | + | 3.53640i | −0.0406269 | + | 0.151622i | ||||
\(545\) | 34.6578 | − | 60.0291i | 1.48458 | − | 2.57136i | ||||
\(546\) | 0.00996791 | + | 0.350180i | 0.000426587 | + | 0.0149863i | ||||
\(547\) | 12.5519 | + | 21.7406i | 0.536681 | + | 0.929559i | 0.999080 | + | 0.0428870i | \(0.0136556\pi\) |
−0.462399 | + | 0.886672i | \(0.653011\pi\) | |||||||
\(548\) | 13.5832 | − | 3.63959i | 0.580243 | − | 0.155476i | ||||
\(549\) | 8.66377 | + | 2.47986i | 0.369761 | + | 0.105838i | ||||
\(550\) | −31.9286 | + | 18.4340i | −1.36144 | + | 0.786027i | ||||
\(551\) | 0.626906 | − | 2.33965i | 0.0267071 | − | 0.0996723i | ||||
\(552\) | 6.03405 | + | 8.00352i | 0.256826 | + | 0.340652i | ||||
\(553\) | 0.219531 | + | 0.219531i | 0.00933541 | + | 0.00933541i | ||||
\(554\) | −4.41272 | − | 16.4685i | −0.187479 | − | 0.699680i | ||||
\(555\) | 45.0995 | + | 6.32744i | 1.91437 | + | 0.268585i | ||||
\(556\) | 0.313887i | 0.0133118i | ||||||||
\(557\) | −2.76078 | − | 10.3034i | −0.116978 | − | 0.436567i | 0.882449 | − | 0.470407i | \(-0.155893\pi\) |
−0.999427 | + | 0.0338399i | \(0.989226\pi\) | |||||||
\(558\) | −17.1731 | − | 4.91553i | −0.726997 | − | 0.208091i | ||||
\(559\) | 12.4835 | + | 15.0809i | 0.527996 | + | 0.637854i | ||||
\(560\) | 0.169274 | − | 0.0977305i | 0.00715314 | − | 0.00412987i | ||||
\(561\) | −19.7095 | − | 26.1425i | −0.832136 | − | 1.10374i | ||||
\(562\) | −1.99333 | − | 3.45255i | −0.0840836 | − | 0.145637i | ||||
\(563\) | −29.8646 | −1.25864 | −0.629322 | − | 0.777144i | \(-0.716667\pi\) | ||||
−0.629322 | + | 0.777144i | \(0.716667\pi\) | |||||||
\(564\) | −6.91272 | + | 5.21168i | −0.291078 | + | 0.219451i | ||||
\(565\) | 17.6470 | + | 65.8594i | 0.742414 | + | 2.77073i | ||||
\(566\) | −17.5398 | − | 4.69978i | −0.737254 | − | 0.197547i | ||||
\(567\) | −0.368911 | + | 0.344669i | −0.0154928 | + | 0.0144747i | ||||
\(568\) | −7.70311 | − | 13.3422i | −0.323215 | − | 0.559825i | ||||
\(569\) | 45.0588 | 1.88896 | 0.944482 | − | 0.328563i | \(-0.106564\pi\) | ||||
0.944482 | + | 0.328563i | \(0.106564\pi\) | |||||||
\(570\) | 0.516894 | + | 4.20154i | 0.0216503 | + | 0.175983i | ||||
\(571\) | 23.2043 | + | 13.3970i | 0.971071 | + | 0.560648i | 0.899562 | − | 0.436792i | \(-0.143885\pi\) |
0.0715081 | + | 0.997440i | \(0.477219\pi\) | |||||||
\(572\) | 7.75420 | + | 16.9234i | 0.324219 | + | 0.707604i | ||||
\(573\) | 5.54733 | + | 13.7208i | 0.231743 | + | 0.573194i | ||||
\(574\) | −0.119559 | + | 0.119559i | −0.00499028 | + | 0.00499028i | ||||
\(575\) | 35.7874 | + | 20.6619i | 1.49244 | + | 0.861659i | ||||
\(576\) | 2.91054 | − | 0.727143i | 0.121273 | − | 0.0302976i | ||||
\(577\) | −20.9051 | + | 20.9051i | −0.870292 | + | 0.870292i | −0.992504 | − | 0.122212i | \(-0.961001\pi\) |
0.122212 | + | 0.992504i | \(0.461001\pi\) | |||||||
\(578\) | 3.47347 | − | 0.930713i | 0.144477 | − | 0.0387126i | ||||
\(579\) | −0.843798 | + | 0.636160i | −0.0350670 | + | 0.0264379i | ||||
\(580\) | −11.6222 | + | 3.11417i | −0.482587 | + | 0.129309i | ||||
\(581\) | 0.895873i | 0.0371671i | ||||||||
\(582\) | −3.69542 | + | 1.49406i | −0.153180 | + | 0.0619310i | ||||
\(583\) | −14.2206 | − | 14.2206i | −0.588958 | − | 0.588958i | ||||
\(584\) | −8.29466 | −0.343235 | ||||||||
\(585\) | 5.66452 | + | 37.2611i | 0.234199 | + | 1.54056i | ||||
\(586\) | 20.4538 | 0.844940 | ||||||||
\(587\) | −17.7153 | − | 17.7153i | −0.731190 | − | 0.731190i | 0.239665 | − | 0.970856i | \(-0.422962\pi\) |
−0.970856 | + | 0.239665i | \(0.922962\pi\) | |||||||
\(588\) | −1.68379 | + | 12.0014i | −0.0694381 | + | 0.494928i | ||||
\(589\) | 4.17651i | 0.172090i | ||||||||
\(590\) | −3.54848 | + | 0.950812i | −0.146089 | + | 0.0391443i | ||||
\(591\) | −28.5978 | − | 12.1311i | −1.17636 | − | 0.499005i | ||||
\(592\) | −7.28892 | + | 1.95306i | −0.299573 | + | 0.0802703i | ||||
\(593\) | −13.5809 | + | 13.5809i | −0.557700 | + | 0.557700i | −0.928652 | − | 0.370952i | \(-0.879031\pi\) |
0.370952 | + | 0.928652i | \(0.379031\pi\) | |||||||
\(594\) | −10.8943 | + | 24.5159i | −0.447000 | + | 1.00590i | ||||
\(595\) | 0.619738 | + | 0.357806i | 0.0254068 | + | 0.0146686i | ||||
\(596\) | −4.31299 | + | 4.31299i | −0.176667 | + | 0.176667i | ||||
\(597\) | −34.1940 | − | 4.79740i | −1.39947 | − | 0.196344i | ||||
\(598\) | 12.0817 | − | 17.0113i | 0.494059 | − | 0.695644i | ||||
\(599\) | 12.8779 | + | 7.43506i | 0.526176 | + | 0.303788i | 0.739458 | − | 0.673203i | \(-0.235082\pi\) |
−0.213282 | + | 0.976991i | \(0.568415\pi\) | |||||||
\(600\) | 9.87602 | − | 7.44578i | 0.403187 | − | 0.303973i | ||||
\(601\) | −23.1090 | −0.942636 | −0.471318 | − | 0.881963i | \(-0.656222\pi\) | ||||
−0.471318 | + | 0.881963i | \(0.656222\pi\) | |||||||
\(602\) | −0.152295 | − | 0.263783i | −0.00620710 | − | 0.0107510i | ||||
\(603\) | 0.554350 | − | 32.6442i | 0.0225749 | − | 1.32937i | ||||
\(604\) | −10.8353 | − | 2.90331i | −0.440883 | − | 0.118134i | ||||
\(605\) | 14.1190 | + | 52.6930i | 0.574021 | + | 2.14228i | ||||
\(606\) | 0.745142 | + | 6.05684i | 0.0302693 | + | 0.246042i | ||||
\(607\) | 29.8697 | 1.21238 | 0.606188 | − | 0.795322i | \(-0.292698\pi\) | ||||
0.606188 | + | 0.795322i | \(0.292698\pi\) | |||||||
\(608\) | −0.350716 | − | 0.607458i | −0.0142234 | − | 0.0246357i | ||||
\(609\) | −0.131025 | + | 0.308878i | −0.00530938 | + | 0.0125164i | ||||
\(610\) | −9.06443 | + | 5.23335i | −0.367008 | + | 0.211892i | ||||
\(611\) | 14.6928 | + | 10.4351i | 0.594409 | + | 0.422160i | ||||
\(612\) | 7.63348 | + | 7.89721i | 0.308565 | + | 0.319226i | ||||
\(613\) | −8.88349 | − | 33.1536i | −0.358801 | − | 1.33906i | −0.875633 | − | 0.482977i | \(-0.839556\pi\) |
0.516832 | − | 0.856087i | \(-0.327111\pi\) | |||||||
\(614\) | − | 9.50429i | − | 0.383562i | ||||||
\(615\) | −11.1958 | + | 14.3370i | −0.451459 | + | 0.578124i | ||||
\(616\) | −0.0749601 | − | 0.279755i | −0.00302023 | − | 0.0112716i | ||||
\(617\) | 1.94352 | + | 1.94352i | 0.0782432 | + | 0.0782432i | 0.745145 | − | 0.666902i | \(-0.232380\pi\) |
−0.666902 | + | 0.745145i | \(0.732380\pi\) | |||||||
\(618\) | 4.06679 | − | 9.58706i | 0.163590 | − | 0.385648i | ||||
\(619\) | 4.73494 | − | 17.6710i | 0.190313 | − | 0.710259i | −0.803117 | − | 0.595821i | \(-0.796827\pi\) |
0.993430 | − | 0.114438i | \(-0.0365066\pi\) | |||||||
\(620\) | 17.9673 | − | 10.3734i | 0.721585 | − | 0.416607i | ||||
\(621\) | 29.9029 | − | 3.16439i | 1.19996 | − | 0.126982i | ||||
\(622\) | −3.49603 | + | 0.936759i | −0.140178 | + | 0.0375606i | ||||
\(623\) | −0.478106 | − | 0.828104i | −0.0191549 | − | 0.0331773i | ||||
\(624\) | −3.27512 | − | 5.31729i | −0.131110 | − | 0.212862i | ||||
\(625\) | −4.85624 | + | 8.41125i | −0.194250 | + | 0.336450i | ||||
\(626\) | 4.67917 | − | 17.4629i | 0.187017 | − | 0.697958i | ||||
\(627\) | 6.21172 | + | 0.871502i | 0.248072 | + | 0.0348044i | ||||
\(628\) | −11.2930 | − | 6.52002i | −0.450640 | − | 0.260177i | ||||
\(629\) | −19.5354 | − | 19.5354i | −0.778927 | − | 0.778927i | ||||
\(630\) | 0.00995627 | − | 0.586298i | 0.000396667 | − | 0.0233587i | ||||
\(631\) | −8.90171 | + | 33.2216i | −0.354371 | + | 1.32253i | 0.526902 | + | 0.849926i | \(0.323353\pi\) |
−0.881274 | + | 0.472606i | \(0.843313\pi\) | |||||||
\(632\) | −5.34588 | − | 1.43242i | −0.212648 | − | 0.0569788i | ||||
\(633\) | −0.349999 | + | 2.49465i | −0.0139112 | + | 0.0991536i | ||||
\(634\) | −9.24920 | + | 5.34003i | −0.367333 | + | 0.212080i | ||||
\(635\) | 0.00965051 | + | 0.00258585i | 0.000382969 | + | 0.000102616i | ||||
\(636\) | 5.31751 | + | 4.15247i | 0.210853 | + | 0.164656i | ||||
\(637\) | 24.8730 | − | 4.21451i | 0.985503 | − | 0.166985i | ||||
\(638\) | 17.8287i | 0.705845i | ||||||||
\(639\) | −46.2120 | − | 0.784753i | −1.82812 | − | 0.0310443i | ||||
\(640\) | −1.74219 | + | 3.01756i | −0.0688660 | + | 0.119279i | ||||
\(641\) | −6.77781 | + | 11.7395i | −0.267707 | + | 0.463683i | −0.968269 | − | 0.249909i | \(-0.919599\pi\) |
0.700562 | + | 0.713592i | \(0.252933\pi\) | |||||||
\(642\) | 11.3682 | − | 26.7995i | 0.448669 | − | 1.05769i | ||||
\(643\) | 28.1744 | − | 28.1744i | 1.11109 | − | 1.11109i | 0.118088 | − | 0.993003i | \(-0.462324\pi\) |
0.993003 | − | 0.118088i | \(-0.0376765\pi\) | |||||||
\(644\) | −0.229546 | + | 0.229546i | −0.00904538 | + | 0.00904538i | ||||
\(645\) | −19.7272 | − | 26.1660i | −0.776759 | − | 1.03029i | ||||
\(646\) | 1.28402 | − | 2.22399i | 0.0505192 | − | 0.0875019i | ||||
\(647\) | −11.0797 | + | 19.1906i | −0.435588 | + | 0.754460i | −0.997343 | − | 0.0728432i | \(-0.976793\pi\) |
0.561756 | + | 0.827303i | \(0.310126\pi\) | |||||||
\(648\) | 2.62320 | − | 8.60923i | 0.103049 | − | 0.338202i | ||||
\(649\) | 5.44343i | 0.213673i | ||||||||
\(650\) | −20.9913 | − | 14.9084i | −0.823345 | − | 0.584755i | ||||
\(651\) | 0.0803799 | − | 0.572917i | 0.00315034 | − | 0.0224544i | ||||
\(652\) | −5.40913 | − | 1.44937i | −0.211838 | − | 0.0567618i | ||||
\(653\) | −29.5307 | + | 17.0495i | −1.15562 | + | 0.667200i | −0.950251 | − | 0.311484i | \(-0.899174\pi\) |
−0.205372 | + | 0.978684i | \(0.565841\pi\) | |||||||
\(654\) | 27.1568 | + | 21.2069i | 1.06192 | + | 0.829256i | ||||
\(655\) | 42.2818 | + | 11.3294i | 1.65209 | + | 0.442675i | ||||
\(656\) | 0.780112 | − | 2.91142i | 0.0304582 | − | 0.113672i | ||||
\(657\) | −12.8061 | + | 21.3358i | −0.499613 | + | 0.832389i | ||||
\(658\) | −0.198261 | − | 0.198261i | −0.00772903 | − | 0.00772903i | ||||
\(659\) | 4.93704 | + | 2.85040i | 0.192320 | + | 0.111036i | 0.593068 | − | 0.805152i | \(-0.297916\pi\) |
−0.400748 | + | 0.916188i | \(0.631250\pi\) | |||||||
\(660\) | −11.6792 | − | 28.8874i | −0.454613 | − | 1.12444i | ||||
\(661\) | 2.37504 | − | 8.86377i | 0.0923783 | − | 0.344761i | −0.904231 | − | 0.427044i | \(-0.859555\pi\) |
0.996609 | + | 0.0822839i | \(0.0262214\pi\) | |||||||
\(662\) | 1.66351 | − | 2.88129i | 0.0646542 | − | 0.111984i | ||||
\(663\) | 10.8639 | − | 20.1179i | 0.421919 | − | 0.781316i | ||||
\(664\) | −7.98511 | − | 13.8306i | −0.309882 | − | 0.536732i | ||||
\(665\) | −0.132431 | + | 0.0354848i | −0.00513545 | + | 0.00137604i | ||||
\(666\) | −6.22962 | + | 21.7641i | −0.241393 | + | 0.843343i | ||||
\(667\) | 17.3062 | − | 9.99171i | 0.670097 | − | 0.386881i | ||||
\(668\) | −2.39787 | + | 8.94898i | −0.0927765 | + | 0.346246i | ||||
\(669\) | 7.30300 | − | 0.898450i | 0.282350 | − | 0.0347361i | ||||
\(670\) | 26.8137 | + | 26.8137i | 1.03590 | + | 1.03590i | ||||
\(671\) | 4.01402 | + | 14.9805i | 0.154960 | + | 0.578318i | ||||
\(672\) | 0.0364188 | + | 0.0900783i | 0.00140489 | + | 0.00347485i | ||||
\(673\) | 30.8722i | 1.19004i | 0.803713 | + | 0.595018i | \(0.202855\pi\) | ||||
−0.803713 | + | 0.595018i | \(0.797145\pi\) | |||||||
\(674\) | 0.748623 | + | 2.79390i | 0.0288359 | + | 0.107617i | ||||
\(675\) | −3.90472 | − | 36.8989i | −0.150293 | − | 1.42024i | ||||
\(676\) | −8.48865 | + | 9.84595i | −0.326487 | + | 0.378691i | ||||
\(677\) | −3.80387 | + | 2.19617i | −0.146195 | + | 0.0844055i | −0.571313 | − | 0.820732i | \(-0.693566\pi\) |
0.425118 | + | 0.905138i | \(0.360232\pi\) | |||||||
\(678\) | −33.6394 | + | 4.13848i | −1.29191 | + | 0.158937i | ||||
\(679\) | −0.0645483 | − | 0.111801i | −0.00247714 | − | 0.00429052i | ||||
\(680\) | −12.7568 | −0.489201 | ||||||||
\(681\) | −37.2524 | − | 15.8023i | −1.42752 | − | 0.605546i | ||||
\(682\) | −7.95652 | − | 29.6941i | −0.304671 | − | 1.13705i | ||||
\(683\) | 11.2191 | + | 3.00615i | 0.429287 | + | 0.115027i | 0.466991 | − | 0.884262i | \(-0.345338\pi\) |
−0.0377045 | + | 0.999289i | \(0.512005\pi\) | |||||||
\(684\) | −2.10399 | − | 0.0357291i | −0.0804482 | − | 0.00136614i | ||||
\(685\) | 24.4992 | + | 42.4338i | 0.936065 | + | 1.62131i | ||||
\(686\) | −0.785174 | −0.0299781 | ||||||||
\(687\) | −9.85402 | − | 4.18003i | −0.375954 | − | 0.159478i | ||||
\(688\) | 4.70232 | + | 2.71489i | 0.179274 | + | 0.103504i | ||||
\(689\) | 4.89164 | − | 13.1651i | 0.186356 | − | 0.501551i | ||||
\(690\) | −21.4954 | + | 27.5262i | −0.818315 | + | 1.04791i | ||||
\(691\) | 7.51539 | − | 7.51539i | 0.285899 | − | 0.285899i | −0.549557 | − | 0.835456i | \(-0.685204\pi\) |
0.835456 | + | 0.549557i | \(0.185204\pi\) | |||||||
\(692\) | −8.52731 | − | 4.92325i | −0.324160 | − | 0.187154i | ||||
\(693\) | −0.835326 | − | 0.239098i | −0.0317314 | − | 0.00908258i | ||||
\(694\) | −12.7231 | + | 12.7231i | −0.482962 | + | 0.482962i | ||||
\(695\) | −1.05643 | + | 0.283070i | −0.0400728 | + | 0.0107375i | ||||
\(696\) | −0.730318 | − | 5.93635i | −0.0276826 | − | 0.225017i | ||||
\(697\) | 10.6591 | − | 2.85610i | 0.403743 | − | 0.108183i | ||||
\(698\) | 25.9005i | 0.980348i | ||||||||
\(699\) | −1.65139 | − | 1.28958i | −0.0624612 | − | 0.0487762i | ||||
\(700\) | 0.283250 | + | 0.283250i | 0.0107059 | + | 0.0107059i | ||||
\(701\) | 10.2778 | 0.388185 | 0.194093 | − | 0.980983i | \(-0.437824\pi\) | ||||
0.194093 | + | 0.980983i | \(0.437824\pi\) | |||||||
\(702\) | −18.7338 | + | 0.215025i | −0.707060 | + | 0.00811560i | ||||
\(703\) | 5.29304 | 0.199631 | ||||||||
\(704\) | 3.65076 | + | 3.65076i | 0.137593 | + | 0.137593i | ||||
\(705\) | −23.7747 | − | 18.5658i | −0.895407 | − | 0.699227i | ||||
\(706\) | − | 2.96995i | − | 0.111776i | ||||||
\(707\) | −0.190909 | + | 0.0511539i | −0.00717988 | + | 0.00192384i | ||||
\(708\) | −0.222980 | − | 1.81248i | −0.00838009 | − | 0.0681171i | ||||
\(709\) | 35.0211 | − | 9.38387i | 1.31524 | − | 0.352419i | 0.468050 | − | 0.883702i | \(-0.344957\pi\) |
0.847194 | + | 0.531283i | \(0.178290\pi\) | |||||||
\(710\) | 37.9582 | − | 37.9582i | 1.42455 | − | 1.42455i | ||||
\(711\) | −11.9380 | + | 11.5393i | −0.447711 | + | 0.432759i | ||||
\(712\) | 14.7621 | + | 8.52292i | 0.553235 | + | 0.319410i | ||||
\(713\) | −24.3648 | + | 24.3648i | −0.912468 | + | 0.912468i | ||||
\(714\) | −0.218939 | + | 0.280366i | −0.00819360 | + | 0.0104924i | ||||
\(715\) | −49.9653 | + | 41.3598i | −1.86860 | + | 1.54677i | ||||
\(716\) | 13.3330 | + | 7.69779i | 0.498276 | + | 0.287680i | ||||
\(717\) | −21.6820 | − | 9.19741i | −0.809729 | − | 0.343484i | ||||
\(718\) | 0.0472482 | 0.00176329 | ||||||||
\(719\) | 0.703567 | + | 1.21861i | 0.0262386 | + | 0.0454466i | 0.878847 | − | 0.477105i | \(-0.158314\pi\) |
−0.852608 | + | 0.522551i | \(0.824980\pi\) | |||||||
\(720\) | 5.07210 | + | 9.14010i | 0.189026 | + | 0.340632i | ||||
\(721\) | 0.325787 | + | 0.0872945i | 0.0121330 | + | 0.00325102i | ||||
\(722\) | −4.79022 | − | 17.8773i | −0.178274 | − | 0.665326i | ||||
\(723\) | 11.3674 | + | 4.82201i | 0.422759 | + | 0.179333i | ||||
\(724\) | −17.1903 | −0.638871 | ||||||||
\(725\) | −12.3294 | − | 21.3551i | −0.457901 | − | 0.793108i | ||||
\(726\) | −26.9143 | + | 3.31113i | −0.998884 | + | 0.122887i | ||||
\(727\) | −32.7077 | + | 18.8838i | −1.21306 | + | 0.700361i | −0.963425 | − | 0.267978i | \(-0.913644\pi\) |
−0.249636 | + | 0.968340i | \(0.580311\pi\) | |||||||
\(728\) | 0.155805 | − | 0.128971i | 0.00577451 | − | 0.00477997i | ||||
\(729\) | −18.0950 | − | 20.0392i | −0.670185 | − | 0.742194i | ||||
\(730\) | −7.48031 | − | 27.9169i | −0.276859 | − | 1.03325i | ||||
\(731\) | 19.8792i | 0.735258i | ||||||||
\(732\) | −1.95018 | − | 4.82359i | −0.0720809 | − | 0.178285i | ||||
\(733\) | −8.62288 | − | 32.1810i | −0.318493 | − | 1.18863i | −0.920693 | − | 0.390288i | \(-0.872375\pi\) |
0.602199 | − | 0.798346i | \(-0.294291\pi\) | |||||||
\(734\) | −6.71759 | − | 6.71759i | −0.247951 | − | 0.247951i | ||||
\(735\) | −41.9108 | + | 5.15607i | −1.54590 | + | 0.190184i | ||||
\(736\) | 1.49777 | − | 5.58976i | 0.0552086 | − | 0.206041i | ||||
\(737\) | 48.6605 | − | 28.0941i | 1.79243 | − | 1.03486i | ||||
\(738\) | −6.28443 | − | 6.50156i | −0.231333 | − | 0.239326i | ||||
\(739\) | −23.0630 | + | 6.17972i | −0.848388 | + | 0.227325i | −0.656719 | − | 0.754135i | \(-0.728056\pi\) |
−0.191668 | + | 0.981460i | \(0.561390\pi\) | |||||||
\(740\) | −13.1466 | − | 22.7706i | −0.483280 | − | 0.837065i | ||||
\(741\) | 1.25368 | + | 4.19721i | 0.0460549 | + | 0.154188i | ||||
\(742\) | −0.109255 | + | 0.189235i | −0.00401087 | + | 0.00694703i | ||||
\(743\) | −3.12072 | + | 11.6467i | −0.114488 | + | 0.427275i | −0.999248 | − | 0.0387716i | \(-0.987656\pi\) |
0.884760 | + | 0.466047i | \(0.154322\pi\) | |||||||
\(744\) | 3.86561 | + | 9.56122i | 0.141720 | + | 0.350531i | ||||
\(745\) | −18.4056 | − | 10.6265i | −0.674328 | − | 0.389323i | ||||
\(746\) | 18.9915 | + | 18.9915i | 0.695328 | + | 0.695328i | ||||
\(747\) | −47.9038 | − | 0.813482i | −1.75271 | − | 0.0297637i | ||||
\(748\) | −4.89229 | + | 18.2583i | −0.178880 | + | 0.667588i | ||||
\(749\) | 0.910702 | + | 0.244022i | 0.0332763 | + | 0.00891637i | ||||
\(750\) | 10.1832 | + | 7.95212i | 0.371838 | + | 0.290370i | ||||
\(751\) | 26.0668 | − | 15.0497i | 0.951192 | − | 0.549171i | 0.0577408 | − | 0.998332i | \(-0.481610\pi\) |
0.893451 | + | 0.449161i | \(0.148277\pi\) | |||||||
\(752\) | 4.82793 | + | 1.29364i | 0.176057 | + | 0.0471742i | ||||
\(753\) | 1.20805 | − | 8.61054i | 0.0440240 | − | 0.313786i | ||||
\(754\) | −11.3191 | + | 5.18632i | −0.412216 | + | 0.188875i | ||||
\(755\) | − | 39.0861i | − | 1.42249i | ||||||
\(756\) | 0.287929 | + | 0.0453940i | 0.0104719 | + | 0.00165096i | ||||
\(757\) | 25.3503 | − | 43.9080i | 0.921371 | − | 1.59586i | 0.124076 | − | 0.992273i | \(-0.460403\pi\) |
0.797296 | − | 0.603589i | \(-0.206263\pi\) | |||||||
\(758\) | −9.52590 | + | 16.4993i | −0.345996 | + | 0.599283i | ||||
\(759\) | 31.1536 | + | 41.3218i | 1.13080 | + | 1.49989i | ||||
\(760\) | 1.72821 | − | 1.72821i | 0.0626886 | − | 0.0626886i | ||||
\(761\) | 10.5364 | − | 10.5364i | 0.381943 | − | 0.381943i | −0.489859 | − | 0.871802i | \(-0.662952\pi\) |
0.871802 | + | 0.489859i | \(0.162952\pi\) | |||||||
\(762\) | −0.00193945 | + | 0.00457206i | −7.02588e−5 | + | 0.000165628i | ||||
\(763\) | −0.557971 | + | 0.966434i | −0.0201999 | + | 0.0349873i | ||||
\(764\) | 4.27232 | − | 7.39988i | 0.154567 | − | 0.267718i | ||||
\(765\) | −19.6952 | + | 32.8135i | −0.712081 | + | 1.18637i | ||||
\(766\) | − | 9.57262i | − | 0.345873i | ||||||
\(767\) | −3.45592 | + | 1.58348i | −0.124786 | + | 0.0571761i | ||||
\(768\) | −1.36513 | − | 1.06603i | −0.0492598 | − | 0.0384672i | ||||
\(769\) |