Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [702,2,Mod(71,702)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(702, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("702.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 702 = 2 \cdot 3^{3} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 702.bb (of order \(12\), degree \(4\), not 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: | \(5.60549822189\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 234) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.7 | ||
Character | \(\chi\) | \(=\) | 702.71 |
Dual form | 702.2.bb.a.89.7 |
$q$-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 \(\left(\mathbb{Z}/702\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 3.36565 | − | 0.901822i | 1.50516 | − | 0.403307i | 0.590337 | − | 0.807157i | \(-0.298995\pi\) |
0.914825 | + | 0.403850i | \(0.132328\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 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 | 0 | ||||||||
\(10\) | −3.01756 | − | 1.74219i | −0.954235 | − | 0.550928i | ||||
\(11\) | 3.65076 | − | 3.65076i | 1.10075 | − | 1.10075i | 0.106426 | − | 0.994321i | \(-0.466059\pi\) |
0.994321 | − | 0.106426i | \(-0.0339406\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.37979 | − | 1.25580i | −0.937385 | − | 0.348295i | ||||
\(14\) | −0.0485810 | − | 0.0280482i | −0.0129838 | − | 0.00749621i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 1.83057 | + | 3.17065i | 0.443979 | + | 0.768995i | 0.997980 | − | 0.0635211i | \(-0.0202330\pi\) |
−0.554001 | + | 0.832516i | \(0.686900\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 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 | 0 | ||||||||
\(22\) | −5.16296 | −1.10075 | ||||||||
\(23\) | −2.89347 | − | 5.01164i | −0.603330 | − | 1.04500i | −0.992313 | − | 0.123754i | \(-0.960507\pi\) |
0.388982 | − | 0.921245i | \(-0.372827\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.18416 | − | 3.57043i | 1.23683 | − | 0.714085i | ||||
\(26\) | 1.50189 | + | 3.27785i | 0.294545 | + | 0.642840i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0145188 | + | 0.0541850i | 0.00274380 | + | 0.0102400i | ||||
\(29\) | 3.45319i | 0.641242i | 0.947208 | + | 0.320621i | \(0.103892\pi\) | ||||
−0.947208 | + | 0.320621i | \(0.896108\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 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 | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.947575 | − | 3.53640i | 0.162508 | − | 0.606487i | ||||
\(35\) | 0.169274 | − | 0.0977305i | 0.0286126 | − | 0.0165195i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 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 | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.74219 | − | 3.01756i | 0.275464 | − | 0.477117i | ||||
\(41\) | 0.780112 | − | 2.91142i | 0.121833 | − | 0.454687i | −0.877874 | − | 0.478892i | \(-0.841039\pi\) |
0.999707 | + | 0.0242048i | \(0.00770537\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −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 | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.49777 | + | 5.58976i | −0.220834 | + | 0.824165i | ||||
\(47\) | 4.82793 | + | 1.29364i | 0.704226 | + | 0.188697i | 0.593123 | − | 0.805112i | \(-0.297895\pi\) |
0.111103 | + | 0.993809i | \(0.464561\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.05945 | + | 3.49843i | −0.865636 | + | 0.499775i | ||||
\(50\) | −6.89754 | − | 1.84819i | −0.975459 | − | 0.261373i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.25580 | − | 3.37979i | 0.174148 | − | 0.468692i | ||||
\(53\) | − | 3.89525i | − | 0.535053i | −0.963550 | − | 0.267527i | \(-0.913794\pi\) | ||
0.963550 | − | 0.267527i | \(-0.0862064\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.99483 | − | 15.5795i | 1.21286 | − | 2.10074i | ||||
\(56\) | 0.0280482 | − | 0.0485810i | 0.00374810 | − | 0.00649190i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.44178 | − | 2.44178i | 0.320621 | − | 0.320621i | ||||
\(59\) | −0.745519 | + | 0.745519i | −0.0970583 | + | 0.0970583i | −0.753969 | − | 0.656910i | \(-0.771863\pi\) |
0.656910 | + | 0.753969i | \(0.271863\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 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 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −12.5077 | − | 1.17860i | −1.55139 | − | 0.146187i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −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 | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.188801 | − | 0.0505890i | −0.0225660 | − | 0.00604655i | ||||
\(71\) | 3.98742 | − | 14.8813i | 0.473220 | − | 1.76608i | −0.154865 | − | 0.987936i | \(-0.549494\pi\) |
0.628085 | − | 0.778145i | \(-0.283839\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 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 | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.181544 | + | 0.677531i | −0.0208245 | + | 0.0777182i | ||||
\(77\) | 0.144812 | − | 0.250821i | 0.0165028 | − | 0.0285838i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 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 | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.61030 | + | 1.50706i | −0.288260 | + | 0.166427i | ||||
\(83\) | 4.13340 | − | 15.4261i | 0.453699 | − | 1.69323i | −0.238184 | − | 0.971220i | \(-0.576552\pi\) |
0.691883 | − | 0.722009i | \(-0.256781\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.02042 | + | 9.02042i | 0.978402 | + | 0.978402i | ||||
\(86\) | 1.40533 | + | 5.24476i | 0.151540 | + | 0.565556i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | − | 5.16296i | − | 0.550373i | ||||||
\(89\) | 4.41179 | + | 16.4650i | 0.467649 | + | 1.74529i | 0.647955 | + | 0.761679i | \(0.275625\pi\) |
−0.180306 | + | 0.983611i | \(0.557709\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.201367 | − | 0.0189747i | −0.0211090 | − | 0.00198909i | ||||
\(92\) | 5.01164 | − | 2.89347i | 0.522500 | − | 0.301665i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.49912 | − | 4.32861i | −0.257765 | − | 0.446462i | ||||
\(95\) | 2.44405 | 0.250754 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −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 | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.57043 | + | 6.18416i | 0.357043 | + | 0.618416i | ||||
\(101\) | 3.52328 | 0.350580 | 0.175290 | − | 0.984517i | \(-0.443914\pi\) | ||||
0.175290 | + | 0.984517i | \(0.443914\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 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 | 0 | ||||||||
\(106\) | −2.75436 | + | 2.75436i | −0.267527 | + | 0.267527i | ||||
\(107\) | −14.5555 | − | 8.40363i | −1.40714 | − | 0.812410i | −0.412024 | − | 0.911173i | \(-0.635178\pi\) |
−0.995111 | + | 0.0987630i | \(0.968511\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −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 | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0541850 | + | 0.0145188i | −0.00512000 | + | 0.00137190i | ||||
\(113\) | 19.5681i | 1.84082i | 0.390960 | + | 0.920408i | \(0.372143\pi\) | ||||
−0.390960 | + | 0.920408i | \(0.627857\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.2580 | − | 14.2580i | −1.32957 | − | 1.32957i | ||||
\(116\) | −3.45319 | −0.320621 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.05432 | 0.0970583 | ||||||||
\(119\) | 0.145224 | + | 0.145224i | 0.0133126 | + | 0.0133126i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 15.6561i | − | 1.42328i | ||||||
\(122\) | −2.90154 | + | 0.777466i | −0.262693 | + | 0.0703885i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.75138 | + | 1.54108i | −0.516489 | + | 0.138393i | ||||
\(125\) | 5.27469 | − | 5.27469i | 0.471782 | − | 0.471782i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −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 | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8.01087 | + | 9.67766i | 0.702600 | + | 0.848787i | ||||
\(131\) | 10.8797 | + | 6.28138i | 0.950562 | + | 0.548807i | 0.893255 | − | 0.449550i | \(-0.148416\pi\) |
0.0573063 | + | 0.998357i | \(0.481749\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0393479 | 0.00341189 | ||||||||
\(134\) | 5.44148 | + | 9.42492i | 0.470072 | + | 0.814189i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.53640 | + | 0.947575i | 0.303244 | + | 0.0812539i | ||||
\(137\) | 3.63959 | + | 13.5832i | 0.310952 | + | 1.16049i | 0.927700 | + | 0.373327i | \(0.121783\pi\) |
−0.616748 | + | 0.787160i | \(0.711550\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 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 | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −13.3422 | + | 7.70311i | −1.11965 | + | 0.646430i | ||||
\(143\) | −16.9234 | + | 7.75420i | −1.41521 | + | 0.648438i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.11417 | + | 11.6222i | 0.258617 | + | 0.965173i | ||||
\(146\) | − | 8.29466i | − | 0.686471i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.95306 | + | 7.28892i | 0.160541 | + | 0.599146i | ||||
\(149\) | −4.31299 | − | 4.31299i | −0.353334 | − | 0.353334i | 0.508014 | − | 0.861349i | \(-0.330380\pi\) |
−0.861349 | + | 0.508014i | \(0.830380\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −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 | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.279755 | + | 0.0749601i | −0.0225433 | + | 0.00604046i | ||||
\(155\) | 10.3734 | + | 17.9673i | 0.833215 | + | 1.44317i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −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 | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.01756 | + | 1.74219i | 0.238559 | + | 0.137732i | ||||
\(161\) | −0.229546 | − | 0.229546i | −0.0180908 | − | 0.0180908i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −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 | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −13.8306 | + | 7.98511i | −1.07346 | + | 0.619765i | ||||
\(167\) | −8.94898 | − | 2.39787i | −0.692493 | − | 0.185553i | −0.104627 | − | 0.994512i | \(-0.533365\pi\) |
−0.587866 | + | 0.808959i | \(0.700032\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.84595 | + | 8.48865i | 0.757381 | + | 0.652973i | ||||
\(170\) | − | 12.7568i | − | 0.978402i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.71489 | − | 4.70232i | 0.207008 | − | 0.358548i | ||||
\(173\) | 4.92325 | − | 8.52731i | 0.374307 | − | 0.648319i | −0.615916 | − | 0.787812i | \(-0.711214\pi\) |
0.990223 | + | 0.139493i | \(0.0445471\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.283250 | − | 0.283250i | 0.0214117 | − | 0.0214117i | ||||
\(176\) | −3.65076 | + | 3.65076i | −0.275187 | + | 0.275187i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.52292 | − | 14.7621i | 0.638820 | − | 1.10647i | ||||
\(179\) | −7.69779 | + | 13.3330i | −0.575360 | + | 0.996553i | 0.420642 | + | 0.907227i | \(0.361805\pi\) |
−0.996002 | + | 0.0893264i | \(0.971529\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 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 | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.58976 | − | 1.49777i | −0.412082 | − | 0.110417i | ||||
\(185\) | 22.7706 | − | 13.1466i | 1.67413 | − | 0.966559i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.2583 | + | 4.89229i | 1.33518 | + | 0.357760i | ||||
\(188\) | −1.29364 | + | 4.82793i | −0.0943484 | + | 0.352113i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.72821 | − | 1.72821i | −0.125377 | − | 0.125377i | ||||
\(191\) | 7.39988 | + | 4.27232i | 0.535436 | + | 0.309134i | 0.743227 | − | 0.669039i | \(-0.233294\pi\) |
−0.207791 | + | 0.978173i | \(0.566627\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 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 | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.49843 | − | 6.05945i | −0.249888 | − | 0.432818i | ||||
\(197\) | −17.3239 | + | 4.64193i | −1.23428 | + | 0.330724i | −0.816244 | − | 0.577707i | \(-0.803948\pi\) |
−0.418035 | + | 0.908431i | \(0.637281\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 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 | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.49134 | − | 2.49134i | −0.175290 | − | 0.175290i | ||||
\(203\) | 0.0501363 | + | 0.187111i | 0.00351888 | + | 0.0131326i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 10.5023i | − | 0.733514i | ||||||
\(206\) | −1.55615 | − | 5.80763i | −0.108422 | − | 0.404637i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.37979 | + | 1.25580i | 0.234346 | + | 0.0870738i | ||||
\(209\) | 3.13628 | − | 1.81073i | 0.216941 | − | 0.125251i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −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 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.35004 | + | 16.2346i | 0.297363 | + | 1.10977i | ||||
\(215\) | −18.2747 | − | 4.89669i | −1.24632 | − | 0.333951i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.167007 | + | 0.289264i | 0.0113371 | + | 0.0196365i | ||||
\(218\) | 19.8933 | 1.34734 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 15.5795 | + | 8.99483i | 1.05037 | + | 0.606432i | ||||
\(221\) | −2.20527 | − | 13.0149i | −0.148342 | − | 0.875480i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −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 | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.8368 | − | 13.8368i | 0.920408 | − | 0.920408i | ||||
\(227\) | −22.5667 | + | 6.04673i | −1.49780 | + | 0.401335i | −0.912364 | − | 0.409380i | \(-0.865745\pi\) |
−0.585440 | + | 0.810716i | \(0.699078\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 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 | 0 | ||||||||
\(232\) | 2.44178 | + | 2.44178i | 0.160310 | + | 0.160310i | ||||
\(233\) | −1.20969 | −0.0792497 | −0.0396249 | − | 0.999215i | \(-0.512616\pi\) | ||||
−0.0396249 | + | 0.999215i | \(0.512616\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 17.4157 | 1.13608 | ||||||||
\(236\) | −0.745519 | − | 0.745519i | −0.0485292 | − | 0.0485292i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | − | 0.205377i | − | 0.0133126i | ||||||
\(239\) | −13.1345 | + | 3.51937i | −0.849599 | + | 0.227649i | −0.657246 | − | 0.753676i | \(-0.728279\pi\) |
−0.192353 | + | 0.981326i | \(0.561612\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −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 | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.60145 | + | 1.50195i | 0.166541 | + | 0.0961524i | ||||
\(245\) | −17.2390 | + | 17.2390i | −1.10136 | + | 1.10136i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.06193 | − | 1.46442i | −0.131198 | − | 0.0931789i | ||||
\(248\) | 5.15654 | + | 2.97713i | 0.327441 | + | 0.189048i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −7.45953 | −0.471782 | ||||||||
\(251\) | −2.50999 | − | 4.34744i | −0.158429 | − | 0.274408i | 0.775873 | − | 0.630889i | \(-0.217310\pi\) |
−0.934302 | + | 0.356481i | \(0.883976\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −28.8597 | − | 7.73293i | −1.81439 | − | 0.486165i | ||||
\(254\) | 0.000742127 | 0.00276966i | 4.65652e−5 | 0.000173784i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −2.47055 | − | 4.27912i | −0.154109 | − | 0.266924i | 0.778625 | − | 0.627489i | \(-0.215917\pi\) |
−0.932734 | + | 0.360565i | \(0.882584\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.366594 | − | 0.211653i | 0.0227791 | − | 0.0131515i | ||||
\(260\) | 1.17860 | − | 12.5077i | 0.0730934 | − | 0.775693i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.25148 | − | 12.1347i | −0.200877 | − | 0.749684i | ||||
\(263\) | 12.9065i | 0.795849i | 0.917418 | + | 0.397925i | \(0.130269\pi\) | ||||
−0.917418 | + | 0.397925i | \(0.869731\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.51282 | − | 13.1100i | −0.215791 | − | 0.805342i | ||||
\(266\) | −0.0278231 | − | 0.0278231i | −0.00170595 | − | 0.00170595i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.81672 | − | 10.5121i | 0.172058 | − | 0.642131i | ||||
\(269\) | 22.4600 | − | 12.9673i | 1.36941 | − | 0.790630i | 0.378558 | − | 0.925577i | \(-0.376420\pi\) |
0.990853 | + | 0.134948i | \(0.0430866\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −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 | 0 | ||||||||
\(274\) | 7.03116 | − | 12.1783i | 0.424768 | − | 0.735719i | ||||
\(275\) | 9.54212 | − | 35.6117i | 0.575412 | − | 2.14747i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −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 | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0505890 | − | 0.188801i | 0.00302327 | − | 0.0112830i | ||||
\(281\) | 3.85082 | + | 1.03182i | 0.229721 | + | 0.0615535i | 0.371843 | − | 0.928296i | \(-0.378726\pi\) |
−0.142122 | + | 0.989849i | \(0.545393\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −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 | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 17.4497 | + | 6.48362i | 1.03182 | + | 0.383385i | ||||
\(287\) | − | 0.169081i | − | 0.00998056i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.79800 | − | 3.11423i | 0.105765 | − | 0.183190i | ||||
\(290\) | 6.01611 | − | 10.4202i | 0.353278 | − | 0.611895i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.86521 | + | 5.86521i | −0.343235 | + | 0.343235i | ||||
\(293\) | −14.4630 | + | 14.4630i | −0.844940 | + | 0.844940i | −0.989497 | − | 0.144557i | \(-0.953824\pi\) |
0.144557 | + | 0.989497i | \(0.453824\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.83683 | + | 3.18148i | −0.106944 | + | 0.185233i | ||||
\(296\) | 3.77302 | − | 6.53507i | 0.219303 | − | 0.379843i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.09950i | 0.353334i | ||||||||
\(299\) | 3.48573 | + | 20.5719i | 0.201585 | + | 1.18970i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.294212 | − | 0.0788339i | −0.0169581 | − | 0.00454391i | ||||
\(302\) | 9.71468 | − | 5.60877i | 0.559017 | − | 0.322749i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.677531 | − | 0.181544i | −0.0388591 | − | 0.0104123i | ||||
\(305\) | 2.70898 | − | 10.1101i | 0.155116 | − | 0.578900i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −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 | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.36969 | − | 20.0399i | 0.304978 | − | 1.13819i | ||||
\(311\) | 1.80968 | − | 3.13446i | 0.102618 | − | 0.177739i | −0.810145 | − | 0.586230i | \(-0.800612\pi\) |
0.912762 | + | 0.408491i | \(0.133945\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −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 | 0 | ||||||||
\(316\) | −4.79298 | + | 2.76723i | −0.269626 | + | 0.155669i | ||||
\(317\) | 2.76420 | − | 10.3161i | 0.155253 | − | 0.579412i | −0.843830 | − | 0.536610i | \(-0.819705\pi\) |
0.999084 | − | 0.0428025i | \(-0.0136286\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.6068 | + | 12.6068i | 0.705845 | + | 0.705845i | ||||
\(320\) | −0.901822 | − | 3.36565i | −0.0504134 | − | 0.188145i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.324627i | 0.0180908i | ||||||||
\(323\) | 0.664659 | + | 2.48054i | 0.0369826 | + | 0.138021i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −25.3849 | + | 4.30125i | −1.40810 | + | 0.238590i | ||||
\(326\) | 4.84969 | − | 2.79997i | 0.268600 | − | 0.155076i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.50706 | − | 2.61030i | −0.0832135 | − | 0.144130i | ||||
\(329\) | 0.280384 | 0.0154581 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −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 | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.63233 | + | 8.02344i | 0.253470 | + | 0.439023i | ||||
\(335\) | −37.9203 | −2.07181 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 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 | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.02042 | + | 9.02042i | −0.489201 | + | 0.489201i | ||||
\(341\) | 26.6230 | + | 15.3708i | 1.44172 | + | 0.832376i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.555202 | + | 0.555202i | −0.0299781 | + | 0.0299781i | ||||
\(344\) | −5.24476 | + | 1.40533i | −0.282778 | + | 0.0757702i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.51098 | + | 2.54846i | −0.511313 | + | 0.137006i | ||||
\(347\) | − | 17.9932i | − | 0.965923i | −0.875642 | − | 0.482962i | \(-0.839561\pi\) | ||
0.875642 | − | 0.482962i | \(-0.160439\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 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 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.16296 | 0.275187 | ||||||||
\(353\) | 2.10008 | + | 2.10008i | 0.111776 | + | 0.111776i | 0.760783 | − | 0.649007i | \(-0.224815\pi\) |
−0.649007 | + | 0.760783i | \(0.724815\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 53.6810i | − | 2.84909i | ||||||
\(356\) | −16.4650 | + | 4.41179i | −0.872645 | + | 0.233824i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.8710 | − | 3.98467i | 0.785957 | − | 0.210596i | ||||
\(359\) | −0.0334095 | + | 0.0334095i | −0.00176329 | + | 0.00176329i | −0.707988 | − | 0.706225i | \(-0.750397\pi\) |
0.706225 | + | 0.707988i | \(0.250397\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.0284 | − | 9.25400i | −0.843600 | − | 0.487052i | ||||
\(362\) | 12.1554 | − | 12.1554i | 0.638871 | − | 0.638871i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0189747 | − | 0.201367i | 0.000994546 | − | 0.0105545i | ||||
\(365\) | 25.0296 | + | 14.4508i | 1.31011 | + | 0.756392i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −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 | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −25.3973 | − | 6.80519i | −1.32034 | − | 0.353785i | ||||
\(371\) | −0.0565545 | − | 0.211064i | −0.00293616 | − | 0.0109579i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 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 | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.32861 | − | 2.49912i | 0.223231 | − | 0.128882i | ||||
\(377\) | 4.33651 | − | 11.6711i | 0.223341 | − | 0.601090i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 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 | 0 | ||||||||
\(382\) | −2.21152 | − | 8.25349i | −0.113151 | − | 0.422285i | ||||
\(383\) | 6.76886 | + | 6.76886i | 0.345873 | + | 0.345873i | 0.858570 | − | 0.512697i | \(-0.171354\pi\) |
−0.512697 | + | 0.858570i | \(0.671354\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.261189 | − | 0.974771i | 0.0133114 | − | 0.0496789i | ||||
\(386\) | −0.528369 | + | 0.305054i | −0.0268933 | + | 0.0155268i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.22292 | − | 0.595628i | 0.112851 | − | 0.0302384i | ||||
\(389\) | −4.60612 | − | 7.97804i | −0.233540 | − | 0.404502i | 0.725308 | − | 0.688425i | \(-0.241698\pi\) |
−0.958847 | + | 0.283922i | \(0.908364\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.5934 | − | 18.3484i | 0.535733 | − | 0.927916i | ||||
\(392\) | −1.81092 | + | 6.75844i | −0.0914652 | + | 0.341353i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 15.5322 | + | 8.96753i | 0.782502 | + | 0.451777i | ||||
\(395\) | 13.6359 | + | 13.6359i | 0.686098 | + | 0.686098i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 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 | 0 | ||||||||
\(400\) | −6.18416 | + | 3.57043i | −0.309208 | + | 0.178521i | ||||
\(401\) | 8.59039 | + | 2.30179i | 0.428984 | + | 0.114946i | 0.466849 | − | 0.884337i | \(-0.345389\pi\) |
−0.0378654 | + | 0.999283i | \(0.512056\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.01404 | − | 21.3737i | 0.100327 | − | 1.06470i | ||||
\(404\) | 3.52328i | 0.175290i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.0968559 | − | 0.167759i | 0.00480688 | − | 0.00832576i | ||||
\(407\) | 19.4800 | − | 33.7403i | 0.965586 | − | 1.67244i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −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 | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.00625 | + | 5.20698i | −0.148107 | + | 0.256529i | ||||
\(413\) | −0.0295719 | + | 0.0512200i | −0.00145514 | + | 0.00252037i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 55.6462i | − | 2.73157i | ||||||
\(416\) | −1.50189 | − | 3.27785i | −0.0736362 | − | 0.160710i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.49807 | − | 0.937304i | −0.171096 | − | 0.0458450i | ||||
\(419\) | −14.9055 | + | 8.60570i | −0.728182 | + | 0.420416i | −0.817757 | − | 0.575564i | \(-0.804783\pi\) |
0.0895746 | + | 0.995980i | \(0.471449\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 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 | 0 | ||||||||
\(424\) | −2.75436 | − | 2.75436i | −0.133763 | − | 0.133763i | ||||
\(425\) | 22.6411 | + | 13.0719i | 1.09826 | + | 0.634078i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.0436131 | − | 0.162766i | 0.00211059 | − | 0.00787681i | ||||
\(428\) | 8.40363 | − | 14.5555i | 0.406205 | − | 0.703568i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.45967 | + | 16.3846i | 0.456186 | + | 0.790137i | ||||
\(431\) | 20.9081 | − | 5.60231i | 1.00711 | − | 0.269854i | 0.282687 | − | 0.959212i | \(-0.408774\pi\) |
0.724420 | + | 0.689358i | \(0.242107\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 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 | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −14.0667 | − | 14.0667i | −0.673671 | − | 0.673671i | ||||
\(437\) | −1.05058 | − | 3.92084i | −0.0502563 | − | 0.187559i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 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 | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.64360 | + | 10.7623i | −0.363569 | + | 0.511911i | ||||
\(443\) | 13.9547 | − | 8.05675i | 0.663007 | − | 0.382788i | −0.130414 | − | 0.991460i | \(-0.541631\pi\) |
0.793422 | + | 0.608672i | \(0.208297\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 29.6970 | + | 51.4368i | 1.40778 | + | 2.43834i | ||||
\(446\) | 4.24818 | 0.201157 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.0145188 | − | 0.0541850i | −0.000685950 | − | 0.00256000i | ||||
\(449\) | 18.3173 | + | 4.90811i | 0.864447 | + | 0.231628i | 0.663685 | − | 0.748012i | \(-0.268991\pi\) |
0.200762 | + | 0.979640i | \(0.435658\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.78089 | − | 13.4769i | −0.366388 | − | 0.634602i | ||||
\(452\) | −19.5681 | −0.920408 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 20.2327 | + | 11.6814i | 0.949570 | + | 0.548234i | ||||
\(455\) | −0.694841 | + | 0.117735i | −0.0325746 | + | 0.00551949i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −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 | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.2580 | − | 14.2580i | 0.664783 | − | 0.664783i | ||||
\(461\) | −12.5113 | + | 3.35240i | −0.582711 | + | 0.156137i | −0.538120 | − | 0.842868i | \(-0.680865\pi\) |
−0.0445913 | + | 0.999005i | \(0.514199\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 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 | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.855383 | + | 0.855383i | 0.0396249 | + | 0.0396249i | ||||
\(467\) | −21.1177 | −0.977210 | −0.488605 | − | 0.872505i | \(-0.662494\pi\) | ||||
−0.488605 | + | 0.872505i | \(0.662494\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.610496 | −0.0281901 | ||||||||
\(470\) | −12.3148 | − | 12.3148i | −0.568039 | − | 0.568039i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.05432i | 0.0485292i | ||||||||
\(473\) | −27.0784 | + | 7.25565i | −1.24507 | + | 0.333615i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.83815 | − | 1.29638i | 0.221990 | − | 0.0594820i | ||||
\(476\) | −0.145224 | + | 0.145224i | −0.00665632 | + | 0.00665632i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.7761 | + | 6.79891i | 0.538624 | + | 0.310975i | ||||
\(479\) | 10.8748 | − | 10.8748i | 0.496883 | − | 0.496883i | −0.413583 | − | 0.910466i | \(-0.635723\pi\) |
0.910466 | + | 0.413583i | \(0.135723\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −27.0877 | − | 2.55246i | −1.23509 | − | 0.116382i | ||||
\(482\) | 6.17394 | + | 3.56453i | 0.281215 | + | 0.162360i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15.6561 | 0.711642 | ||||||||
\(485\) | −4.00935 | − | 6.94439i | −0.182055 | − | 0.315329i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −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 | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 24.3796 | 1.10136 | ||||||||
\(491\) | 3.19734 | + | 5.53796i | 0.144294 | + | 0.249925i | 0.929109 | − | 0.369805i | \(-0.120576\pi\) |
−0.784815 | + | 0.619730i | \(0.787242\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.9489 | + | 6.32132i | −0.493112 | + | 0.284698i | ||||
\(494\) | 0.422503 | + | 2.49351i | 0.0190093 | + | 0.112188i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.54108 | − | 5.75138i | −0.0691964 | − | 0.258245i | ||||
\(497\) | − | 0.864234i | − | 0.0387662i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −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 | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.29927 | + | 4.84894i | −0.0579892 | + | 0.216419i | ||||
\(503\) | −6.97222 | + | 4.02541i | −0.310876 | + | 0.179484i | −0.647318 | − | 0.762220i | \(-0.724110\pi\) |
0.336442 | + | 0.941704i | \(0.390776\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.8581 | − | 3.17737i | 0.527679 | − | 0.141391i | ||||
\(506\) | 14.9389 | + | 25.8749i | 0.664114 | + | 1.15028i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.00143368 | − | 0.00248320i | 6.36092e−5 | − | 0.000110174i | ||||
\(509\) | 8.37966 | − | 31.2733i | 0.371422 | − | 1.38617i | −0.487081 | − | 0.873357i | \(-0.661938\pi\) |
0.858503 | − | 0.512809i | \(-0.171395\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.402962 | + | 0.232651i | 0.0178260 | + | 0.0102919i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.27885 | + | 4.77274i | −0.0564077 | + | 0.210517i | ||||
\(515\) | 20.2359 | + | 5.42221i | 0.891702 | + | 0.238931i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.3484 | − | 12.9029i | 0.982882 | − | 0.567467i | ||||
\(518\) | −0.408883 | − | 0.109560i | −0.0179653 | − | 0.00481378i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.67766 | + | 8.01087i | −0.424393 | + | 0.351300i | ||||
\(521\) | 3.95332i | 0.173198i | 0.996243 | + | 0.0865990i | \(0.0275999\pi\) | ||||
−0.996243 | + | 0.0865990i | \(0.972400\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −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 | 0 | ||||||||
\(526\) | 9.12628 | − | 9.12628i | 0.397925 | − | 0.397925i | ||||
\(527\) | −15.4145 | + | 15.4145i | −0.671468 | + | 0.671468i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.24435 | + | 9.08349i | −0.228015 | + | 0.394934i | ||||
\(530\) | −6.78625 | + | 11.7541i | −0.294776 | + | 0.510567i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0393479i | 0.00170595i | ||||||||
\(533\) | −6.29276 | + | 8.86031i | −0.272570 | + | 0.383783i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −56.5673 | − | 15.1572i | −2.44562 | − | 0.655301i | ||||
\(536\) | −9.42492 | + | 5.44148i | −0.407095 | + | 0.235036i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −25.0509 | − | 6.71236i | −1.08002 | − | 0.289391i | ||||
\(539\) | −9.34970 | + | 34.8935i | −0.402720 | + | 1.50297i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.947575 | + | 3.53640i | −0.0406269 | + | 0.151622i | ||||
\(545\) | −34.6578 | + | 60.0291i | −1.48458 | + | 2.57136i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 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 | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −31.9286 | + | 18.4340i | −1.36144 | + | 0.786027i | ||||
\(551\) | −0.626906 | + | 2.33965i | −0.0267071 | + | 0.0996723i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.219531 | + | 0.219531i | 0.00933541 | + | 0.00933541i | ||||
\(554\) | 4.41272 | + | 16.4685i | 0.187479 | + | 0.699680i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.313887i | 0.0133118i | ||||||||
\(557\) | 2.76078 | + | 10.3034i | 0.116978 | + | 0.436567i | 0.999427 | − | 0.0338399i | \(-0.0107736\pi\) |
−0.882449 | + | 0.470407i | \(0.844107\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.4835 | + | 15.0809i | 0.527996 | + | 0.637854i | ||||
\(560\) | −0.169274 | + | 0.0977305i | −0.00715314 | + | 0.00412987i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.99333 | − | 3.45255i | −0.0840836 | − | 0.145637i | ||||
\(563\) | 29.8646 | 1.25864 | 0.629322 | − | 0.777144i | \(-0.283333\pi\) | ||||
0.629322 | + | 0.777144i | \(0.283333\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 17.6470 | + | 65.8594i | 0.742414 | + | 2.77073i | ||||
\(566\) | 17.5398 | + | 4.69978i | 0.737254 | + | 0.197547i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −7.70311 | − | 13.3422i | −0.323215 | − | 0.559825i | ||||
\(569\) | −45.0588 | −1.88896 | −0.944482 | − | 0.328563i | \(-0.893436\pi\) | ||||
−0.944482 | + | 0.328563i | \(0.893436\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 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 | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.119559 | + | 0.119559i | −0.00499028 | + | 0.00499028i | ||||
\(575\) | −35.7874 | − | 20.6619i | −1.49244 | − | 0.861659i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −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 | 0 | ||||||||
\(580\) | −11.6222 | + | 3.11417i | −0.482587 | + | 0.129309i | ||||
\(581\) | − | 0.895873i | − | 0.0371671i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.2206 | − | 14.2206i | −0.588958 | − | 0.588958i | ||||
\(584\) | 8.29466 | 0.343235 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 20.4538 | 0.844940 | ||||||||
\(587\) | 17.7153 | + | 17.7153i | 0.731190 | + | 0.731190i | 0.970856 | − | 0.239665i | \(-0.0770378\pi\) |
−0.239665 | + | 0.970856i | \(0.577038\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.17651i | 0.172090i | ||||||||
\(590\) | 3.54848 | − | 0.950812i | 0.146089 | − | 0.0391443i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.28892 | + | 1.95306i | −0.299573 | + | 0.0802703i | ||||
\(593\) | 13.5809 | − | 13.5809i | 0.557700 | − | 0.557700i | −0.370952 | − | 0.928652i | \(-0.620969\pi\) |
0.928652 | + | 0.370952i | \(0.120969\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.619738 | + | 0.357806i | 0.0254068 | + | 0.0146686i | ||||
\(596\) | 4.31299 | − | 4.31299i | 0.176667 | − | 0.176667i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 12.0817 | − | 17.0113i | 0.494059 | − | 0.695644i | ||||
\(599\) | −12.8779 | − | 7.43506i | −0.526176 | − | 0.303788i | 0.213282 | − | 0.976991i | \(-0.431585\pi\) |
−0.739458 | + | 0.673203i | \(0.764918\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −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 | 0 | ||||||||
\(604\) | −10.8353 | − | 2.90331i | −0.440883 | − | 0.118134i | ||||
\(605\) | −14.1190 | − | 52.6930i | −0.574021 | − | 2.14228i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 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 | 0 | ||||||||
\(610\) | −9.06443 | + | 5.23335i | −0.367008 | + | 0.211892i | ||||
\(611\) | −14.6928 | − | 10.4351i | −0.594409 | − | 0.422160i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −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 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0749601 | − | 0.279755i | −0.00302023 | − | 0.0112716i | ||||
\(617\) | −1.94352 | − | 1.94352i | −0.0782432 | − | 0.0782432i | 0.666902 | − | 0.745145i | \(-0.267620\pi\) |
−0.745145 | + | 0.666902i | \(0.767620\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 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 | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.49603 | + | 0.936759i | −0.140178 | + | 0.0375606i | ||||
\(623\) | 0.478106 | + | 0.828104i | 0.0191549 | + | 0.0331773i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.85624 | + | 8.41125i | −0.194250 | + | 0.336450i | ||||
\(626\) | −4.67917 | + | 17.4629i | −0.187017 | + | 0.697958i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.2930 | − | 6.52002i | −0.450640 | − | 0.260177i | ||||
\(629\) | 19.5354 | + | 19.5354i | 0.778927 | + | 0.778927i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −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 | 0 | ||||||||
\(634\) | −9.24920 | + | 5.34003i | −0.367333 | + | 0.212080i | ||||
\(635\) | −0.00965051 | − | 0.00258585i | −0.000382969 | − | 0.000102616i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.8730 | − | 4.21451i | 0.985503 | − | 0.166985i | ||||
\(638\) | − | 17.8287i | − | 0.705845i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.74219 | + | 3.01756i | −0.0688660 | + | 0.119279i | ||||
\(641\) | 6.77781 | − | 11.7395i | 0.267707 | − | 0.463683i | −0.700562 | − | 0.713592i | \(-0.747067\pi\) |
0.968269 | + | 0.249909i | \(0.0804006\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 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 | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.28402 | − | 2.22399i | 0.0505192 | − | 0.0875019i | ||||
\(647\) | 11.0797 | − | 19.1906i | 0.435588 | − | 0.754460i | −0.561756 | − | 0.827303i | \(-0.689874\pi\) |
0.997343 | + | 0.0728432i | \(0.0232073\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.44343i | 0.213673i | ||||||||
\(650\) | 20.9913 | + | 14.9084i | 0.823345 | + | 0.584755i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.40913 | − | 1.44937i | −0.211838 | − | 0.0567618i | ||||
\(653\) | 29.5307 | − | 17.0495i | 1.15562 | − | 0.667200i | 0.205372 | − | 0.978684i | \(-0.434159\pi\) |
0.950251 | + | 0.311484i | \(0.100826\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.2818 | + | 11.3294i | 1.65209 | + | 0.442675i | ||||
\(656\) | −0.780112 | + | 2.91142i | −0.0304582 | + | 0.113672i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.198261 | − | 0.198261i | −0.00772903 | − | 0.00772903i | ||||
\(659\) | −4.93704 | − | 2.85040i | −0.192320 | − | 0.111036i | 0.400748 | − | 0.916188i | \(-0.368750\pi\) |
−0.593068 | + | 0.805152i | \(0.702084\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 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 | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.98511 | − | 13.8306i | −0.309882 | − | 0.536732i | ||||
\(665\) | 0.132431 | − | 0.0354848i | 0.00513545 | − | 0.00137604i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 17.3062 | − | 9.99171i | 0.670097 | − | 0.386881i | ||||
\(668\) | 2.39787 | − | 8.94898i | 0.0927765 | − | 0.346246i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 26.8137 | + | 26.8137i | 1.03590 | + | 1.03590i | ||||
\(671\) | −4.01402 | − | 14.9805i | −0.154960 | − | 0.578318i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 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 | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −8.48865 | + | 9.84595i | −0.326487 | + | 0.378691i | ||||
\(677\) | 3.80387 | − | 2.19617i | 0.146195 | − | 0.0844055i | −0.425118 | − | 0.905138i | \(-0.639768\pi\) |
0.571313 | + | 0.820732i | \(0.306434\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0645483 | − | 0.111801i | −0.00247714 | − | 0.00429052i | ||||
\(680\) | 12.7568 | 0.489201 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.95652 | − | 29.6941i | −0.304671 | − | 1.13705i | ||||
\(683\) | −11.2191 | − | 3.00615i | −0.429287 | − | 0.115027i | 0.0377045 | − | 0.999289i | \(-0.487995\pi\) |
−0.466991 | + | 0.884262i | \(0.654662\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.4992 | + | 42.4338i | 0.936065 | + | 1.62131i | ||||
\(686\) | 0.785174 | 0.0299781 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.70232 | + | 2.71489i | 0.179274 | + | 0.103504i | ||||
\(689\) | −4.89164 | + | 13.1651i | −0.186356 | + | 0.501551i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 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 | 0 | ||||||||
\(694\) | −12.7231 | + | 12.7231i | −0.482962 | + | 0.482962i | ||||
\(695\) | 1.05643 | − | 0.283070i | 0.0400728 | − | 0.0107375i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.6591 | − | 2.85610i | 0.403743 | − | 0.108183i | ||||
\(698\) | − | 25.9005i | − | 0.980348i | ||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.283250 | + | 0.283250i | 0.0107059 | + | 0.0107059i | ||||
\(701\) | −10.2778 | −0.388185 | −0.194093 | − | 0.980983i | \(-0.562176\pi\) | ||||
−0.194093 | + | 0.980983i | \(0.562176\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.29304 | 0.199631 | ||||||||
\(704\) | −3.65076 | − | 3.65076i | −0.137593 | − | 0.137593i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 2.96995i | − | 0.111776i | ||||||
\(707\) | 0.190909 | − | 0.0511539i | 0.00717988 | − | 0.00192384i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 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 | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.7621 | + | 8.52292i | 0.553235 | + | 0.319410i | ||||
\(713\) | 24.3648 | − | 24.3648i | 0.912468 | − | 0.912468i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −49.9653 | + | 41.3598i | −1.86860 | + | 1.54677i | ||||
\(716\) | −13.3330 | − | 7.69779i | −0.498276 | − | 0.287680i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0472482 | 0.00176329 | ||||||||
\(719\) | −0.703567 | − | 1.21861i | −0.0262386 | − | 0.0454466i | 0.852608 | − | 0.522551i | \(-0.175020\pi\) |
−0.878847 | + | 0.477105i | \(0.841686\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.325787 | + | 0.0872945i | 0.0121330 | + | 0.00325102i | ||||
\(722\) | 4.79022 | + | 17.8773i | 0.178274 | + | 0.665326i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.1903 | −0.638871 | ||||||||
\(725\) | 12.3294 | + | 21.3551i | 0.457901 | + | 0.793108i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −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 | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.48031 | − | 27.9169i | −0.276859 | − | 1.03325i | ||||
\(731\) | − | 19.8792i | − | 0.735258i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −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 | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.49777 | − | 5.58976i | 0.0552086 | − | 0.206041i | ||||
\(737\) | −48.6605 | + | 28.0941i | −1.79243 | + | 1.03486i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −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 | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.109255 | + | 0.189235i | −0.00401087 | + | 0.00694703i | ||||
\(743\) | 3.12072 | − | 11.6467i | 0.114488 | − | 0.427275i | −0.884760 | − | 0.466047i | \(-0.845678\pi\) |
0.999248 | + | 0.0387716i | \(0.0123445\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.4056 | − | 10.6265i | −0.674328 | − | 0.389323i | ||||
\(746\) | −18.9915 | − | 18.9915i | −0.695328 | − | 0.695328i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.89229 | + | 18.2583i | −0.178880 | + | 0.667588i | ||||
\(749\) | −0.910702 | − | 0.244022i | −0.0332763 | − | 0.00891637i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 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 | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.3191 | + | 5.18632i | −0.412216 | + | 0.188875i | ||||
\(755\) | 39.0861i | 1.42249i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 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 | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.72821 | − | 1.72821i | 0.0626886 | − | 0.0626886i | ||||
\(761\) | −10.5364 | + | 10.5364i | −0.381943 | + | 0.381943i | −0.871802 | − | 0.489859i | \(-0.837048\pi\) |
0.489859 | + | 0.871802i | \(0.337048\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.557971 | + | 0.966434i | −0.0201999 | + | 0.0349873i | ||||
\(764\) | −4.27232 | + | 7.39988i | −0.154567 | + | 0.267718i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 9.57262i | − | 0.345873i | ||||||
\(767\) | 3.45592 | − | 1.58348i | 0.124786 | − | 0.0571761i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.6571 | + | 6.87479i | 0.925218 | + | 0.247911i | 0.689814 | − | 0.723986i | \(-0.257692\pi\) |
0.235404 | + | 0.971898i | \(0.424359\pi\) | |||||||
\(770\) | −0.873955 | + | 0.504578i | −0.0314952 | + | 0.0181837i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.589319 | + | 0.157908i | 0.0212101 | + | 0.00568322i | ||||
\(773\) | 11.3267 | − | 42.2718i | 0.407393 | − | 1.52041i | −0.392206 | − | 0.919877i | \(-0.628288\pi\) |
0.799599 | − | 0.600534i | \(-0.205045\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 30.0651 | + | 30.0651i | 1.07997 | + | 1.07997i | ||||
\(776\) | −1.99301 | − | 1.15067i | −0.0715449 | − | 0.0413065i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.38430 | + | 8.89834i | −0.0854814 | + | 0.319021i | ||||
\(779\) | 1.05710 | − | 1.83095i | 0.0378745 | − | 0.0656006i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −39.7708 | − | 68.8851i | −1.42311 | − | 2.46490i | ||||
\(782\) | −20.4649 | + | 5.48356i | −0.731824 | + | 0.196092i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.05945 | − | 3.49843i < |