Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [775,2,Mod(501,775)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(775, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("775.501");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 775 = 5^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 775.e (of order \(3\), degree \(2\), 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: | \(6.18840615665\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 676.2 | ||
Root | \(-0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 775.676 |
Dual form | 775.2.e.e.501.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/775\mathbb{Z}\right)^\times\).
\(n\) | \(251\) | \(652\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.41421 | 1.70711 | 0.853553 | − | 0.521005i | \(-0.174443\pi\) | ||||
0.853553 | + | 0.521005i | \(0.174443\pi\) | |||||||
\(3\) | −1.20711 | − | 2.09077i | −0.696923 | − | 1.20711i | −0.969528 | − | 0.244981i | \(-0.921218\pi\) |
0.272605 | − | 0.962126i | \(-0.412115\pi\) | |||||||
\(4\) | 3.82843 | 1.91421 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.91421 | − | 5.04757i | −1.18972 | − | 2.06066i | ||||
\(7\) | 1.20711 | + | 2.09077i | 0.456243 | + | 0.790237i | 0.998759 | − | 0.0498090i | \(-0.0158613\pi\) |
−0.542515 | + | 0.840046i | \(0.682528\pi\) | |||||||
\(8\) | 4.41421 | 1.56066 | ||||||||
\(9\) | −1.41421 | + | 2.44949i | −0.471405 | + | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.62132 | − | 4.54026i | 0.790358 | − | 1.36894i | −0.135388 | − | 0.990793i | \(-0.543228\pi\) |
0.925745 | − | 0.378147i | \(-0.123439\pi\) | |||||||
\(12\) | −4.62132 | − | 8.00436i | −1.33406 | − | 2.31066i | ||||
\(13\) | 0.914214 | − | 1.58346i | 0.253557 | − | 0.439174i | −0.710945 | − | 0.703247i | \(-0.751733\pi\) |
0.964503 | + | 0.264073i | \(0.0850661\pi\) | |||||||
\(14\) | 2.91421 | + | 5.04757i | 0.778856 | + | 1.34902i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.00000 | 0.750000 | ||||||||
\(17\) | −0.0857864 | − | 0.148586i | −0.0208063 | − | 0.0360375i | 0.855435 | − | 0.517911i | \(-0.173290\pi\) |
−0.876241 | + | 0.481873i | \(0.839957\pi\) | |||||||
\(18\) | −3.41421 | + | 5.91359i | −0.804738 | + | 1.39385i | ||||
\(19\) | −0.792893 | − | 1.37333i | −0.181902 | − | 0.315064i | 0.760626 | − | 0.649190i | \(-0.224892\pi\) |
−0.942528 | + | 0.334126i | \(0.891559\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.91421 | − | 5.04757i | 0.635934 | − | 1.10147i | ||||
\(22\) | 6.32843 | − | 10.9612i | 1.34923 | − | 2.33693i | ||||
\(23\) | 4.00000 | 0.834058 | 0.417029 | − | 0.908893i | \(-0.363071\pi\) | ||||
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | −5.32843 | − | 9.22911i | −1.08766 | − | 1.88388i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.20711 | − | 3.82282i | 0.432849 | − | 0.749717i | ||||
\(27\) | −0.414214 | −0.0797154 | ||||||||
\(28\) | 4.62132 | + | 8.00436i | 0.873347 | + | 1.51268i | ||||
\(29\) | −1.17157 | −0.217556 | −0.108778 | − | 0.994066i | \(-0.534694\pi\) | ||||
−0.108778 | + | 0.994066i | \(0.534694\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.00000 | + | 2.44949i | −0.898027 | + | 0.439941i | ||||
\(32\) | −1.58579 | −0.280330 | ||||||||
\(33\) | −12.6569 | −2.20328 | ||||||||
\(34\) | −0.207107 | − | 0.358719i | −0.0355185 | − | 0.0615199i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.41421 | + | 9.37769i | −0.902369 | + | 1.56295i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | −1.91421 | − | 3.31552i | −0.310526 | − | 0.537848i | ||||
\(39\) | −4.41421 | −0.706840 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.74264 | + | 8.21449i | −0.740676 | + | 1.28289i | 0.211512 | + | 0.977375i | \(0.432161\pi\) |
−0.952188 | + | 0.305513i | \(0.901172\pi\) | |||||||
\(42\) | 7.03553 | − | 12.1859i | 1.08561 | − | 1.88033i | ||||
\(43\) | 4.44975 | + | 7.70719i | 0.678580 | + | 1.17534i | 0.975409 | + | 0.220404i | \(0.0707377\pi\) |
−0.296828 | + | 0.954931i | \(0.595929\pi\) | |||||||
\(44\) | 10.0355 | − | 17.3821i | 1.51291 | − | 2.62044i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 9.65685 | 1.42383 | ||||||||
\(47\) | 1.65685 | 0.241677 | 0.120839 | − | 0.992672i | \(-0.461442\pi\) | ||||
0.120839 | + | 0.992672i | \(0.461442\pi\) | |||||||
\(48\) | −3.62132 | − | 6.27231i | −0.522693 | − | 0.905330i | ||||
\(49\) | 0.585786 | − | 1.01461i | 0.0836838 | − | 0.144945i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.207107 | + | 0.358719i | −0.0290008 | + | 0.0502308i | ||||
\(52\) | 3.50000 | − | 6.06218i | 0.485363 | − | 0.840673i | ||||
\(53\) | 0.0857864 | − | 0.148586i | 0.0117837 | − | 0.0204099i | −0.860073 | − | 0.510170i | \(-0.829582\pi\) |
0.871857 | + | 0.489760i | \(0.162916\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.32843 | + | 9.22911i | 0.712041 | + | 1.23329i | ||||
\(57\) | −1.91421 | + | 3.31552i | −0.253544 | + | 0.439151i | ||||
\(58\) | −2.82843 | −0.371391 | ||||||||
\(59\) | 5.03553 | + | 8.72180i | 0.655571 | + | 1.13548i | 0.981750 | + | 0.190174i | \(0.0609052\pi\) |
−0.326180 | + | 0.945308i | \(0.605761\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.82843 | 0.362143 | 0.181071 | − | 0.983470i | \(-0.442043\pi\) | ||||
0.181071 | + | 0.983470i | \(0.442043\pi\) | |||||||
\(62\) | −12.0711 | + | 5.91359i | −1.53303 | + | 0.751027i | ||||
\(63\) | −6.82843 | −0.860301 | ||||||||
\(64\) | −9.82843 | −1.22855 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −30.5563 | −3.76123 | ||||||||
\(67\) | −2.62132 | + | 4.54026i | −0.320245 | + | 0.554681i | −0.980539 | − | 0.196327i | \(-0.937099\pi\) |
0.660293 | + | 0.751008i | \(0.270432\pi\) | |||||||
\(68\) | −0.328427 | − | 0.568852i | −0.0398276 | − | 0.0689835i | ||||
\(69\) | −4.82843 | − | 8.36308i | −0.581274 | − | 1.00680i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.03553 | − | 12.1859i | 0.834964 | − | 1.44620i | −0.0590953 | − | 0.998252i | \(-0.518822\pi\) |
0.894060 | − | 0.447948i | \(-0.147845\pi\) | |||||||
\(72\) | −6.24264 | + | 10.8126i | −0.735702 | + | 1.27427i | ||||
\(73\) | 1.91421 | − | 3.31552i | 0.224042 | − | 0.388052i | −0.731990 | − | 0.681316i | \(-0.761408\pi\) |
0.956032 | + | 0.293264i | \(0.0947415\pi\) | |||||||
\(74\) | 1.20711 | + | 2.09077i | 0.140323 | + | 0.243047i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.03553 | − | 5.25770i | −0.348200 | − | 0.603099i | ||||
\(77\) | 12.6569 | 1.44238 | ||||||||
\(78\) | −10.6569 | −1.20665 | ||||||||
\(79\) | 7.62132 | + | 13.2005i | 0.857466 | + | 1.48517i | 0.874339 | + | 0.485316i | \(0.161296\pi\) |
−0.0168732 | + | 0.999858i | \(0.505371\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.74264 | + | 8.21449i | 0.526960 | + | 0.912722i | ||||
\(82\) | −11.4497 | + | 19.8315i | −1.26441 | + | 2.19003i | ||||
\(83\) | 2.03553 | − | 3.52565i | 0.223429 | − | 0.386990i | −0.732418 | − | 0.680855i | \(-0.761608\pi\) |
0.955847 | + | 0.293865i | \(0.0949416\pi\) | |||||||
\(84\) | 11.1569 | − | 19.3242i | 1.21731 | − | 2.10845i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 10.7426 | + | 18.6068i | 1.15841 | + | 2.00642i | ||||
\(87\) | 1.41421 | + | 2.44949i | 0.151620 | + | 0.262613i | ||||
\(88\) | 11.5711 | − | 20.0417i | 1.23348 | − | 2.13645i | ||||
\(89\) | −12.4853 | −1.32344 | −0.661719 | − | 0.749752i | \(-0.730173\pi\) | ||||
−0.661719 | + | 0.749752i | \(0.730173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.41421 | 0.462735 | ||||||||
\(92\) | 15.3137 | 1.59656 | ||||||||
\(93\) | 11.1569 | + | 7.49706i | 1.15691 | + | 0.777408i | ||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.91421 | + | 3.31552i | 0.195369 | + | 0.338388i | ||||
\(97\) | −10.8284 | −1.09946 | −0.549730 | − | 0.835342i | \(-0.685269\pi\) | ||||
−0.549730 | + | 0.835342i | \(0.685269\pi\) | |||||||
\(98\) | 1.41421 | − | 2.44949i | 0.142857 | − | 0.247436i | ||||
\(99\) | 7.41421 | + | 12.8418i | 0.745157 | + | 1.29065i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.48528 | 0.844317 | 0.422159 | − | 0.906522i | \(-0.361273\pi\) | ||||
0.422159 | + | 0.906522i | \(0.361273\pi\) | |||||||
\(102\) | −0.500000 | + | 0.866025i | −0.0495074 | + | 0.0857493i | ||||
\(103\) | −6.03553 | + | 10.4539i | −0.594699 | + | 1.03005i | 0.398890 | + | 0.916999i | \(0.369395\pi\) |
−0.993589 | + | 0.113050i | \(0.963938\pi\) | |||||||
\(104\) | 4.03553 | − | 6.98975i | 0.395717 | − | 0.685401i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.207107 | − | 0.358719i | 0.0201160 | − | 0.0348419i | ||||
\(107\) | 4.79289 | + | 8.30153i | 0.463346 | + | 0.802540i | 0.999125 | − | 0.0418188i | \(-0.0133152\pi\) |
−0.535779 | + | 0.844358i | \(0.679982\pi\) | |||||||
\(108\) | −1.58579 | −0.152592 | ||||||||
\(109\) | −5.17157 | −0.495347 | −0.247673 | − | 0.968844i | \(-0.579666\pi\) | ||||
−0.247673 | + | 0.968844i | \(0.579666\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.20711 | − | 2.09077i | 0.114574 | − | 0.198447i | ||||
\(112\) | 3.62132 | + | 6.27231i | 0.342183 | + | 0.592678i | ||||
\(113\) | 2.67157 | − | 4.62730i | 0.251320 | − | 0.435300i | −0.712569 | − | 0.701602i | \(-0.752469\pi\) |
0.963890 | + | 0.266302i | \(0.0858019\pi\) | |||||||
\(114\) | −4.62132 | + | 8.00436i | −0.432826 | + | 0.749677i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.48528 | −0.416448 | ||||||||
\(117\) | 2.58579 | + | 4.47871i | 0.239056 | + | 0.414057i | ||||
\(118\) | 12.1569 | + | 21.0563i | 1.11913 | + | 1.93839i | ||||
\(119\) | 0.207107 | − | 0.358719i | 0.0189854 | − | 0.0328838i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.24264 | − | 14.2767i | −0.749331 | − | 1.29788i | ||||
\(122\) | 6.82843 | 0.618217 | ||||||||
\(123\) | 22.8995 | 2.06478 | ||||||||
\(124\) | −19.1421 | + | 9.37769i | −1.71901 | + | 0.842142i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −16.4853 | −1.46863 | ||||||||
\(127\) | −5.44975 | − | 9.43924i | −0.483587 | − | 0.837597i | 0.516235 | − | 0.856447i | \(-0.327333\pi\) |
−0.999822 | + | 0.0188496i | \(0.994000\pi\) | |||||||
\(128\) | −20.5563 | −1.81694 | ||||||||
\(129\) | 10.7426 | − | 18.6068i | 0.945837 | − | 1.63824i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.37868 | + | 4.11999i | 0.207826 | + | 0.359966i | 0.951030 | − | 0.309100i | \(-0.100028\pi\) |
−0.743203 | + | 0.669066i | \(0.766694\pi\) | |||||||
\(132\) | −48.4558 | −4.21754 | ||||||||
\(133\) | 1.91421 | − | 3.31552i | 0.165983 | − | 0.287492i | ||||
\(134\) | −6.32843 | + | 10.9612i | −0.546693 | + | 0.946900i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.378680 | − | 0.655892i | −0.0324715 | − | 0.0562423i | ||||
\(137\) | −3.74264 | + | 6.48244i | −0.319755 | + | 0.553833i | −0.980437 | − | 0.196834i | \(-0.936934\pi\) |
0.660681 | + | 0.750666i | \(0.270267\pi\) | |||||||
\(138\) | −11.6569 | − | 20.1903i | −0.992297 | − | 1.71871i | ||||
\(139\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | − | 3.46410i | −0.168430 | − | 0.291730i | ||||
\(142\) | 16.9853 | − | 29.4194i | 1.42537 | − | 2.46882i | ||||
\(143\) | −4.79289 | − | 8.30153i | −0.400802 | − | 0.694209i | ||||
\(144\) | −4.24264 | + | 7.34847i | −0.353553 | + | 0.612372i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.62132 | − | 8.00436i | 0.382463 | − | 0.662446i | ||||
\(147\) | −2.82843 | −0.233285 | ||||||||
\(148\) | 1.91421 | + | 3.31552i | 0.157347 | + | 0.272534i | ||||
\(149\) | −0.500000 | − | 0.866025i | −0.0409616 | − | 0.0709476i | 0.844818 | − | 0.535054i | \(-0.179709\pi\) |
−0.885779 | + | 0.464107i | \(0.846375\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.3137 | −1.40897 | −0.704485 | − | 0.709719i | \(-0.748822\pi\) | ||||
−0.704485 | + | 0.709719i | \(0.748822\pi\) | |||||||
\(152\) | −3.50000 | − | 6.06218i | −0.283887 | − | 0.491708i | ||||
\(153\) | 0.485281 | 0.0392327 | ||||||||
\(154\) | 30.5563 | 2.46230 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −16.8995 | −1.35304 | ||||||||
\(157\) | −14.8284 | −1.18344 | −0.591719 | − | 0.806145i | \(-0.701550\pi\) | ||||
−0.591719 | + | 0.806145i | \(0.701550\pi\) | |||||||
\(158\) | 18.3995 | + | 31.8689i | 1.46379 | + | 2.53535i | ||||
\(159\) | −0.414214 | −0.0328493 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.82843 | + | 8.36308i | 0.380533 | + | 0.659103i | ||||
\(162\) | 11.4497 | + | 19.8315i | 0.899577 | + | 1.55811i | ||||
\(163\) | 12.9706 | 1.01593 | 0.507966 | − | 0.861377i | \(-0.330397\pi\) | ||||
0.507966 | + | 0.861377i | \(0.330397\pi\) | |||||||
\(164\) | −18.1569 | + | 31.4486i | −1.41781 | + | 2.45572i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.91421 | − | 8.51167i | 0.381417 | − | 0.660634i | ||||
\(167\) | −4.27817 | − | 7.41002i | −0.331055 | − | 0.573404i | 0.651664 | − | 0.758508i | \(-0.274071\pi\) |
−0.982719 | + | 0.185104i | \(0.940738\pi\) | |||||||
\(168\) | 12.8640 | − | 22.2810i | 0.992476 | − | 1.71902i | ||||
\(169\) | 4.82843 | + | 8.36308i | 0.371417 | + | 0.643314i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.48528 | 0.342998 | ||||||||
\(172\) | 17.0355 | + | 29.5064i | 1.29895 | + | 2.24984i | ||||
\(173\) | −7.15685 | + | 12.3960i | −0.544126 | + | 0.942453i | 0.454536 | + | 0.890728i | \(0.349805\pi\) |
−0.998661 | + | 0.0517246i | \(0.983528\pi\) | |||||||
\(174\) | 3.41421 | + | 5.91359i | 0.258831 | + | 0.448308i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.86396 | − | 13.6208i | 0.592768 | − | 1.02670i | ||||
\(177\) | 12.1569 | − | 21.0563i | 0.913765 | − | 1.58269i | ||||
\(178\) | −30.1421 | −2.25925 | ||||||||
\(179\) | 3.37868 | + | 5.85204i | 0.252534 | + | 0.437402i | 0.964223 | − | 0.265093i | \(-0.0854026\pi\) |
−0.711689 | + | 0.702495i | \(0.752069\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.15685 | − | 8.93193i | 0.383306 | − | 0.663905i | −0.608227 | − | 0.793763i | \(-0.708119\pi\) |
0.991533 | + | 0.129858i | \(0.0414522\pi\) | |||||||
\(182\) | 10.6569 | 0.789939 | ||||||||
\(183\) | −3.41421 | − | 5.91359i | −0.252386 | − | 0.437145i | ||||
\(184\) | 17.6569 | 1.30168 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 26.9350 | + | 18.0995i | 1.97497 | + | 1.32712i | ||||
\(187\) | −0.899495 | −0.0657776 | ||||||||
\(188\) | 6.34315 | 0.462621 | ||||||||
\(189\) | −0.500000 | − | 0.866025i | −0.0363696 | − | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.550253 | − | 0.953065i | 0.0398149 | − | 0.0689614i | −0.845431 | − | 0.534084i | \(-0.820657\pi\) |
0.885246 | + | 0.465123i | \(0.153990\pi\) | |||||||
\(192\) | 11.8640 | + | 20.5490i | 0.856208 | + | 1.48300i | ||||
\(193\) | −10.5711 | − | 18.3096i | −0.760922 | − | 1.31796i | −0.942376 | − | 0.334556i | \(-0.891414\pi\) |
0.181454 | − | 0.983399i | \(-0.441920\pi\) | |||||||
\(194\) | −26.1421 | −1.87690 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.24264 | − | 3.88437i | 0.160189 | − | 0.277455i | ||||
\(197\) | 1.74264 | − | 3.01834i | 0.124158 | − | 0.215048i | −0.797245 | − | 0.603655i | \(-0.793710\pi\) |
0.921404 | + | 0.388607i | \(0.127044\pi\) | |||||||
\(198\) | 17.8995 | + | 31.0028i | 1.27206 | + | 2.20328i | ||||
\(199\) | −7.79289 | + | 13.4977i | −0.552424 | + | 0.956826i | 0.445675 | + | 0.895195i | \(0.352964\pi\) |
−0.998099 | + | 0.0616310i | \(0.980370\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.6569 | 0.892746 | ||||||||
\(202\) | 20.4853 | 1.44134 | ||||||||
\(203\) | −1.41421 | − | 2.44949i | −0.0992583 | − | 0.171920i | ||||
\(204\) | −0.792893 | + | 1.37333i | −0.0555136 | + | 0.0961524i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −14.5711 | + | 25.2378i | −1.01521 | + | 1.75840i | ||||
\(207\) | −5.65685 | + | 9.79796i | −0.393179 | + | 0.681005i | ||||
\(208\) | 2.74264 | − | 4.75039i | 0.190168 | − | 0.329380i | ||||
\(209\) | −8.31371 | −0.575071 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.79289 | − | 6.56948i | −0.261114 | − | 0.452262i | 0.705425 | − | 0.708785i | \(-0.250756\pi\) |
−0.966538 | + | 0.256523i | \(0.917423\pi\) | |||||||
\(212\) | 0.328427 | − | 0.568852i | 0.0225565 | − | 0.0390689i | ||||
\(213\) | −33.9706 | −2.32762 | ||||||||
\(214\) | 11.5711 | + | 20.0417i | 0.790982 | + | 1.37002i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.82843 | −0.124409 | ||||||||
\(217\) | −11.1569 | − | 7.49706i | −0.757377 | − | 0.508933i | ||||
\(218\) | −12.4853 | −0.845610 | ||||||||
\(219\) | −9.24264 | −0.624560 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.313708 | −0.0211023 | ||||||||
\(222\) | 2.91421 | − | 5.04757i | 0.195589 | − | 0.338770i | ||||
\(223\) | 0.863961 | + | 1.49642i | 0.0578551 | + | 0.100208i | 0.893502 | − | 0.449059i | \(-0.148241\pi\) |
−0.835647 | + | 0.549266i | \(0.814907\pi\) | |||||||
\(224\) | −1.91421 | − | 3.31552i | −0.127899 | − | 0.221527i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.44975 | − | 11.1713i | 0.429031 | − | 0.743103i | ||||
\(227\) | −7.79289 | + | 13.4977i | −0.517232 | + | 0.895873i | 0.482567 | + | 0.875859i | \(0.339704\pi\) |
−0.999800 | + | 0.0200140i | \(0.993629\pi\) | |||||||
\(228\) | −7.32843 | + | 12.6932i | −0.485337 | + | 0.840628i | ||||
\(229\) | −5.74264 | − | 9.94655i | −0.379484 | − | 0.657286i | 0.611503 | − | 0.791242i | \(-0.290565\pi\) |
−0.990987 | + | 0.133956i | \(0.957232\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −15.2782 | − | 26.4626i | −1.00523 | − | 1.74111i | ||||
\(232\) | −5.17157 | −0.339530 | ||||||||
\(233\) | 14.8284 | 0.971443 | 0.485721 | − | 0.874114i | \(-0.338557\pi\) | ||||
0.485721 | + | 0.874114i | \(0.338557\pi\) | |||||||
\(234\) | 6.24264 | + | 10.8126i | 0.408094 | + | 0.706840i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 19.2782 | + | 33.3908i | 1.25490 | + | 2.17355i | ||||
\(237\) | 18.3995 | − | 31.8689i | 1.19518 | − | 2.07010i | ||||
\(238\) | 0.500000 | − | 0.866025i | 0.0324102 | − | 0.0561361i | ||||
\(239\) | 6.37868 | − | 11.0482i | 0.412602 | − | 0.714648i | −0.582571 | − | 0.812780i | \(-0.697953\pi\) |
0.995173 | + | 0.0981314i | \(0.0312865\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.3284 | − | 21.3535i | −0.794144 | − | 1.37550i | −0.923381 | − | 0.383884i | \(-0.874586\pi\) |
0.129238 | − | 0.991614i | \(-0.458747\pi\) | |||||||
\(242\) | −19.8995 | − | 34.4669i | −1.27919 | − | 2.21562i | ||||
\(243\) | 10.8284 | − | 18.7554i | 0.694644 | − | 1.20316i | ||||
\(244\) | 10.8284 | 0.693219 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 55.2843 | 3.52480 | ||||||||
\(247\) | −2.89949 | −0.184490 | ||||||||
\(248\) | −22.0711 | + | 10.8126i | −1.40151 | + | 0.686599i | ||||
\(249\) | −9.82843 | −0.622851 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.79289 | − | 3.10538i | −0.113166 | − | 0.196010i | 0.803879 | − | 0.594793i | \(-0.202766\pi\) |
−0.917045 | + | 0.398783i | \(0.869433\pi\) | |||||||
\(252\) | −26.1421 | −1.64680 | ||||||||
\(253\) | 10.4853 | − | 18.1610i | 0.659204 | − | 1.14177i | ||||
\(254\) | −13.1569 | − | 22.7883i | −0.825534 | − | 1.42987i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −29.9706 | −1.87316 | ||||||||
\(257\) | −0.156854 | + | 0.271680i | −0.00978430 | + | 0.0169469i | −0.870876 | − | 0.491503i | \(-0.836448\pi\) |
0.861092 | + | 0.508450i | \(0.169781\pi\) | |||||||
\(258\) | 25.9350 | − | 44.9208i | 1.61464 | − | 2.79665i | ||||
\(259\) | −1.20711 | + | 2.09077i | −0.0750060 | + | 0.129914i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.65685 | − | 2.86976i | 0.102557 | − | 0.177633i | ||||
\(262\) | 5.74264 | + | 9.94655i | 0.354782 | + | 0.614500i | ||||
\(263\) | 0.686292 | 0.0423185 | 0.0211593 | − | 0.999776i | \(-0.493264\pi\) | ||||
0.0211593 | + | 0.999776i | \(0.493264\pi\) | |||||||
\(264\) | −55.8701 | −3.43856 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.62132 | − | 8.00436i | 0.283351 | − | 0.490779i | ||||
\(267\) | 15.0711 | + | 26.1039i | 0.922334 | + | 1.59753i | ||||
\(268\) | −10.0355 | + | 17.3821i | −0.613018 | + | 1.06178i | ||||
\(269\) | 15.9142 | − | 27.5642i | 0.970307 | − | 1.68062i | 0.275681 | − | 0.961249i | \(-0.411097\pi\) |
0.694626 | − | 0.719371i | \(-0.255570\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.3137 | −1.41621 | −0.708103 | − | 0.706109i | \(-0.750449\pi\) | ||||
−0.708103 | + | 0.706109i | \(0.750449\pi\) | |||||||
\(272\) | −0.257359 | − | 0.445759i | −0.0156047 | − | 0.0270281i | ||||
\(273\) | −5.32843 | − | 9.22911i | −0.322491 | − | 0.558571i | ||||
\(274\) | −9.03553 | + | 15.6500i | −0.545857 | + | 0.945451i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −18.4853 | − | 32.0174i | −1.11268 | − | 1.92722i | ||||
\(277\) | 14.1421 | 0.849719 | 0.424859 | − | 0.905259i | \(-0.360324\pi\) | ||||
0.424859 | + | 0.905259i | \(0.360324\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.07107 | − | 15.7116i | 0.0641232 | − | 0.940626i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.00000 | 0.119310 | 0.0596550 | − | 0.998219i | \(-0.481000\pi\) | ||||
0.0596550 | + | 0.998219i | \(0.481000\pi\) | |||||||
\(282\) | −4.82843 | − | 8.36308i | −0.287529 | − | 0.498014i | ||||
\(283\) | 2.34315 | 0.139286 | 0.0696428 | − | 0.997572i | \(-0.477814\pi\) | ||||
0.0696428 | + | 0.997572i | \(0.477814\pi\) | |||||||
\(284\) | 26.9350 | − | 46.6528i | 1.59830 | − | 2.76834i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.5711 | − | 20.0417i | −0.684212 | − | 1.18509i | ||||
\(287\) | −22.8995 | −1.35171 | ||||||||
\(288\) | 2.24264 | − | 3.88437i | 0.132149 | − | 0.228889i | ||||
\(289\) | 8.48528 | − | 14.6969i | 0.499134 | − | 0.864526i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.0711 | + | 22.6398i | 0.766240 | + | 1.32717i | ||||
\(292\) | 7.32843 | − | 12.6932i | 0.428864 | − | 0.742814i | ||||
\(293\) | −12.3995 | − | 21.4766i | −0.724386 | − | 1.25467i | −0.959226 | − | 0.282640i | \(-0.908790\pi\) |
0.234840 | − | 0.972034i | \(-0.424543\pi\) | |||||||
\(294\) | −6.82843 | −0.398242 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.20711 | + | 3.82282i | 0.128285 | + | 0.222197i | ||||
\(297\) | −1.08579 | + | 1.88064i | −0.0630037 | + | 0.109126i | ||||
\(298\) | −1.20711 | − | 2.09077i | −0.0699258 | − | 0.121115i | ||||
\(299\) | 3.65685 | − | 6.33386i | 0.211481 | − | 0.366296i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.7426 | + | 18.6068i | −0.619196 | + | 1.07248i | ||||
\(302\) | −41.7990 | −2.40526 | ||||||||
\(303\) | −10.2426 | − | 17.7408i | −0.588424 | − | 1.01918i | ||||
\(304\) | −2.37868 | − | 4.11999i | −0.136427 | − | 0.236298i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.17157 | 0.0669744 | ||||||||
\(307\) | −1.37868 | − | 2.38794i | −0.0786854 | − | 0.136287i | 0.823998 | − | 0.566593i | \(-0.191739\pi\) |
−0.902683 | + | 0.430306i | \(0.858406\pi\) | |||||||
\(308\) | 48.4558 | 2.76103 | ||||||||
\(309\) | 29.1421 | 1.65784 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.3137 | −0.641542 | −0.320771 | − | 0.947157i | \(-0.603942\pi\) | ||||
−0.320771 | + | 0.947157i | \(0.603942\pi\) | |||||||
\(312\) | −19.4853 | −1.10314 | ||||||||
\(313\) | 1.91421 | + | 3.31552i | 0.108198 | + | 0.187404i | 0.915040 | − | 0.403363i | \(-0.132159\pi\) |
−0.806842 | + | 0.590767i | \(0.798825\pi\) | |||||||
\(314\) | −35.7990 | −2.02025 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 29.1777 | + | 50.5372i | 1.64137 | + | 2.84294i | ||||
\(317\) | −1.08579 | − | 1.88064i | −0.0609838 | − | 0.105627i | 0.833922 | − | 0.551883i | \(-0.186090\pi\) |
−0.894905 | + | 0.446256i | \(0.852757\pi\) | |||||||
\(318\) | −1.00000 | −0.0560772 | ||||||||
\(319\) | −3.07107 | + | 5.31925i | −0.171947 | + | 0.297821i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.5711 | − | 20.0417i | 0.645834 | − | 1.11862i | ||||
\(322\) | 11.6569 | + | 20.1903i | 0.649611 | + | 1.12516i | ||||
\(323\) | −0.136039 | + | 0.235626i | −0.00756941 | + | 0.0131106i | ||||
\(324\) | 18.1569 | + | 31.4486i | 1.00871 | + | 1.74714i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 31.3137 | 1.73431 | ||||||||
\(327\) | 6.24264 | + | 10.8126i | 0.345219 | + | 0.597937i | ||||
\(328\) | −20.9350 | + | 36.2605i | −1.15594 | + | 2.00215i | ||||
\(329\) | 2.00000 | + | 3.46410i | 0.110264 | + | 0.190982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.378680 | + | 0.655892i | −0.0208141 | + | 0.0360511i | −0.876245 | − | 0.481866i | \(-0.839959\pi\) |
0.855431 | + | 0.517917i | \(0.173292\pi\) | |||||||
\(332\) | 7.79289 | − | 13.4977i | 0.427691 | − | 0.740782i | ||||
\(333\) | −2.82843 | −0.154997 | ||||||||
\(334\) | −10.3284 | − | 17.8894i | −0.565146 | − | 0.978862i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 8.74264 | − | 15.1427i | 0.476950 | − | 0.826102i | ||||
\(337\) | 13.3137 | 0.725244 | 0.362622 | − | 0.931936i | \(-0.381882\pi\) | ||||
0.362622 | + | 0.931936i | \(0.381882\pi\) | |||||||
\(338\) | 11.6569 | + | 20.1903i | 0.634049 | + | 1.09821i | ||||
\(339\) | −12.8995 | −0.700604 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.98528 | + | 29.1222i | −0.107509 | + | 1.57706i | ||||
\(342\) | 10.8284 | 0.585534 | ||||||||
\(343\) | 19.7279 | 1.06521 | ||||||||
\(344\) | 19.6421 | + | 34.0212i | 1.05903 | + | 1.83430i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.2782 | + | 29.9267i | −0.928880 | + | 1.60887i | ||||
\(347\) | 11.2782 | + | 19.5344i | 0.605444 | + | 1.04866i | 0.991981 | + | 0.126386i | \(0.0403378\pi\) |
−0.386537 | + | 0.922274i | \(0.626329\pi\) | |||||||
\(348\) | 5.41421 | + | 9.37769i | 0.290232 | + | 0.502697i | ||||
\(349\) | 35.1127 | 1.87954 | 0.939770 | − | 0.341808i | \(-0.111039\pi\) | ||||
0.939770 | + | 0.341808i | \(0.111039\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.378680 | + | 0.655892i | −0.0202124 | + | 0.0350089i | ||||
\(352\) | −4.15685 | + | 7.19988i | −0.221561 | + | 0.383755i | ||||
\(353\) | 1.50000 | + | 2.59808i | 0.0798369 | + | 0.138282i | 0.903179 | − | 0.429263i | \(-0.141227\pi\) |
−0.823343 | + | 0.567545i | \(0.807893\pi\) | |||||||
\(354\) | 29.3492 | − | 50.8344i | 1.55989 | − | 2.70182i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −47.7990 | −2.53334 | ||||||||
\(357\) | −1.00000 | −0.0529256 | ||||||||
\(358\) | 8.15685 | + | 14.1281i | 0.431103 | + | 0.746693i | ||||
\(359\) | −13.4497 | + | 23.2956i | −0.709851 | + | 1.22950i | 0.255062 | + | 0.966925i | \(0.417904\pi\) |
−0.964912 | + | 0.262572i | \(0.915429\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.24264 | − | 14.2767i | 0.433823 | − | 0.751404i | ||||
\(362\) | 12.4497 | − | 21.5636i | 0.654344 | − | 1.13336i | ||||
\(363\) | −19.8995 | + | 34.4669i | −1.04445 | + | 1.80904i | ||||
\(364\) | 16.8995 | 0.885774 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −8.24264 | − | 14.2767i | −0.430850 | − | 0.746254i | ||||
\(367\) | 9.10660 | − | 15.7731i | 0.475361 | − | 0.823349i | −0.524241 | − | 0.851570i | \(-0.675651\pi\) |
0.999602 | + | 0.0282210i | \(0.00898422\pi\) | |||||||
\(368\) | 12.0000 | 0.625543 | ||||||||
\(369\) | −13.4142 | − | 23.2341i | −0.698316 | − | 1.20952i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.414214 | 0.0215049 | ||||||||
\(372\) | 42.7132 | + | 28.7019i | 2.21458 | + | 1.48813i | ||||
\(373\) | −10.0000 | −0.517780 | −0.258890 | − | 0.965907i | \(-0.583357\pi\) | ||||
−0.258890 | + | 0.965907i | \(0.583357\pi\) | |||||||
\(374\) | −2.17157 | −0.112289 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.31371 | 0.377176 | ||||||||
\(377\) | −1.07107 | + | 1.85514i | −0.0551628 | + | 0.0955448i | ||||
\(378\) | −1.20711 | − | 2.09077i | −0.0620869 | − | 0.107538i | ||||
\(379\) | 14.6924 | + | 25.4480i | 0.754697 | + | 1.30717i | 0.945525 | + | 0.325550i | \(0.105550\pi\) |
−0.190827 | + | 0.981624i | \(0.561117\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −13.1569 | + | 22.7883i | −0.674046 | + | 1.16748i | ||||
\(382\) | 1.32843 | − | 2.30090i | 0.0679682 | − | 0.117724i | ||||
\(383\) | 12.4497 | − | 21.5636i | 0.636152 | − | 1.10185i | −0.350117 | − | 0.936706i | \(-0.613858\pi\) |
0.986270 | − | 0.165142i | \(-0.0528084\pi\) | |||||||
\(384\) | 24.8137 | + | 42.9786i | 1.26627 | + | 2.19324i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −25.5208 | − | 44.2033i | −1.29898 | − | 2.24989i | ||||
\(387\) | −25.1716 | −1.27954 | ||||||||
\(388\) | −41.4558 | −2.10460 | ||||||||
\(389\) | −8.57107 | − | 14.8455i | −0.434570 | − | 0.752698i | 0.562690 | − | 0.826668i | \(-0.309766\pi\) |
−0.997260 | + | 0.0739699i | \(0.976433\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.343146 | − | 0.594346i | −0.0173536 | − | 0.0300574i | ||||
\(392\) | 2.58579 | − | 4.47871i | 0.130602 | − | 0.226209i | ||||
\(393\) | 5.74264 | − | 9.94655i | 0.289678 | − | 0.501737i | ||||
\(394\) | 4.20711 | − | 7.28692i | 0.211951 | − | 0.367110i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 28.3848 | + | 49.1639i | 1.42639 | + | 2.47058i | ||||
\(397\) | −8.25736 | − | 14.3022i | −0.414425 | − | 0.717805i | 0.580943 | − | 0.813944i | \(-0.302684\pi\) |
−0.995368 | + | 0.0961392i | \(0.969351\pi\) | |||||||
\(398\) | −18.8137 | + | 32.5863i | −0.943046 | + | 1.63340i | ||||
\(399\) | −9.24264 | −0.462711 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −21.1716 | −1.05726 | −0.528629 | − | 0.848853i | \(-0.677294\pi\) | ||||
−0.528629 | + | 0.848853i | \(0.677294\pi\) | |||||||
\(402\) | 30.5563 | 1.52401 | ||||||||
\(403\) | −0.692388 | + | 10.1567i | −0.0344903 | + | 0.505940i | ||||
\(404\) | 32.4853 | 1.61620 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.41421 | − | 5.91359i | −0.169445 | − | 0.293487i | ||||
\(407\) | 5.24264 | 0.259868 | ||||||||
\(408\) | −0.914214 | + | 1.58346i | −0.0452603 | + | 0.0783932i | ||||
\(409\) | −4.67157 | − | 8.09140i | −0.230994 | − | 0.400094i | 0.727107 | − | 0.686525i | \(-0.240865\pi\) |
−0.958101 | + | 0.286431i | \(0.907531\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.0711 | 0.891380 | ||||||||
\(412\) | −23.1066 | + | 40.0218i | −1.13838 | + | 1.97173i | ||||
\(413\) | −12.1569 | + | 21.0563i | −0.598200 | + | 1.03611i | ||||
\(414\) | −13.6569 | + | 23.6544i | −0.671198 | + | 1.16255i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.44975 | + | 2.51104i | −0.0710797 | + | 0.123114i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −20.0711 | −0.981708 | ||||||||
\(419\) | 28.0000 | 1.36789 | 0.683945 | − | 0.729534i | \(-0.260263\pi\) | ||||
0.683945 | + | 0.729534i | \(0.260263\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.42893 | − | 2.47498i | 0.0696419 | − | 0.120623i | −0.829102 | − | 0.559098i | \(-0.811148\pi\) |
0.898744 | + | 0.438474i | \(0.144481\pi\) | |||||||
\(422\) | −9.15685 | − | 15.8601i | −0.445749 | − | 0.772059i | ||||
\(423\) | −2.34315 | + | 4.05845i | −0.113928 | + | 0.197328i | ||||
\(424\) | 0.378680 | − | 0.655892i | 0.0183903 | − | 0.0318530i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −82.0122 | −3.97350 | ||||||||
\(427\) | 3.41421 | + | 5.91359i | 0.165225 | + | 0.286179i | ||||
\(428\) | 18.3492 | + | 31.7818i | 0.886944 | + | 1.53623i | ||||
\(429\) | −11.5711 | + | 20.0417i | −0.558656 | + | 0.967621i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.6213 | + | 21.8608i | 0.607948 | + | 1.05300i | 0.991578 | + | 0.129510i | \(0.0413403\pi\) |
−0.383631 | + | 0.923487i | \(0.625326\pi\) | |||||||
\(432\) | −1.24264 | −0.0597866 | ||||||||
\(433\) | 35.1127 | 1.68741 | 0.843704 | − | 0.536808i | \(-0.180370\pi\) | ||||
0.843704 | + | 0.536808i | \(0.180370\pi\) | |||||||
\(434\) | −26.9350 | − | 18.0995i | −1.29292 | − | 0.868803i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −19.7990 | −0.948200 | ||||||||
\(437\) | −3.17157 | − | 5.49333i | −0.151717 | − | 0.262781i | ||||
\(438\) | −22.3137 | −1.06619 | ||||||||
\(439\) | 6.03553 | − | 10.4539i | 0.288060 | − | 0.498935i | −0.685286 | − | 0.728274i | \(-0.740323\pi\) |
0.973347 | + | 0.229339i | \(0.0736563\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.65685 | + | 2.86976i | 0.0788978 | + | 0.136655i | ||||
\(442\) | −0.757359 | −0.0360239 | ||||||||
\(443\) | −6.62132 | + | 11.4685i | −0.314588 | + | 0.544883i | −0.979350 | − | 0.202173i | \(-0.935200\pi\) |
0.664761 | + | 0.747056i | \(0.268533\pi\) | |||||||
\(444\) | 4.62132 | − | 8.00436i | 0.219318 | − | 0.379870i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2.08579 | + | 3.61269i | 0.0987649 | + | 0.171066i | ||||
\(447\) | −1.20711 | + | 2.09077i | −0.0570942 | + | 0.0988900i | ||||
\(448\) | −11.8640 | − | 20.5490i | −0.560519 | − | 0.970848i | ||||
\(449\) | 4.62742 | 0.218381 | 0.109191 | − | 0.994021i | \(-0.465174\pi\) | ||||
0.109191 | + | 0.994021i | \(0.465174\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.8640 | + | 43.0656i | 1.17080 | + | 2.02788i | ||||
\(452\) | 10.2279 | − | 17.7153i | 0.481081 | − | 0.833257i | ||||
\(453\) | 20.8995 | + | 36.1990i | 0.981944 | + | 1.70078i | ||||
\(454\) | −18.8137 | + | 32.5863i | −0.882971 | + | 1.52935i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.44975 | + | 14.6354i | −0.395696 | + | 0.685365i | ||||
\(457\) | −31.1127 | −1.45539 | −0.727695 | − | 0.685901i | \(-0.759409\pi\) | ||||
−0.727695 | + | 0.685901i | \(0.759409\pi\) | |||||||
\(458\) | −13.8640 | − | 24.0131i | −0.647820 | − | 1.12206i | ||||
\(459\) | 0.0355339 | + | 0.0615465i | 0.00165858 | + | 0.00287275i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 26.1421 | 1.21756 | 0.608780 | − | 0.793339i | \(-0.291659\pi\) | ||||
0.608780 | + | 0.793339i | \(0.291659\pi\) | |||||||
\(462\) | −36.8848 | − | 63.8863i | −1.71604 | − | 2.97226i | ||||
\(463\) | −24.9706 | −1.16048 | −0.580240 | − | 0.814445i | \(-0.697041\pi\) | ||||
−0.580240 | + | 0.814445i | \(0.697041\pi\) | |||||||
\(464\) | −3.51472 | −0.163167 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 35.7990 | 1.65836 | ||||||||
\(467\) | 8.00000 | 0.370196 | 0.185098 | − | 0.982720i | \(-0.440740\pi\) | ||||
0.185098 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(468\) | 9.89949 | + | 17.1464i | 0.457604 | + | 0.792594i | ||||
\(469\) | −12.6569 | −0.584439 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17.8995 | + | 31.0028i | 0.824765 | + | 1.42854i | ||||
\(472\) | 22.2279 | + | 38.4999i | 1.02312 | + | 1.77210i | ||||
\(473\) | 46.6569 | 2.14528 | ||||||||
\(474\) | 44.4203 | − | 76.9382i | 2.04029 | − | 3.53389i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.792893 | − | 1.37333i | 0.0363422 | − | 0.0629465i | ||||
\(477\) | 0.242641 | + | 0.420266i | 0.0111098 | + | 0.0192427i | ||||
\(478\) | 15.3995 | − | 26.6727i | 0.704357 | − | 1.21998i | ||||
\(479\) | −4.86396 | − | 8.42463i | −0.222240 | − | 0.384931i | 0.733248 | − | 0.679962i | \(-0.238004\pi\) |
−0.955488 | + | 0.295030i | \(0.904670\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.82843 | 0.0833691 | ||||||||
\(482\) | −29.7635 | − | 51.5518i | −1.35569 | − | 2.34812i | ||||
\(483\) | 11.6569 | − | 20.1903i | 0.530405 | − | 0.918689i | ||||
\(484\) | −31.5563 | − | 54.6572i | −1.43438 | − | 2.48442i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 26.1421 | − | 45.2795i | 1.18583 | − | 2.05392i | ||||
\(487\) | −8.69239 | + | 15.0557i | −0.393890 | + | 0.682237i | −0.992959 | − | 0.118460i | \(-0.962204\pi\) |
0.599069 | + | 0.800697i | \(0.295537\pi\) | |||||||
\(488\) | 12.4853 | 0.565182 | ||||||||
\(489\) | −15.6569 | − | 27.1185i | −0.708027 | − | 1.22634i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.20711 | + | 3.82282i | −0.0996053 | + | 0.172522i | −0.911521 | − | 0.411253i | \(-0.865091\pi\) |
0.811916 | + | 0.583774i | \(0.198425\pi\) | |||||||
\(492\) | 87.6690 | 3.95243 | ||||||||
\(493\) | 0.100505 | + | 0.174080i | 0.00452652 | + | 0.00784016i | ||||
\(494\) | −7.00000 | −0.314945 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.0000 | + | 7.34847i | −0.673520 | + | 0.329956i | ||||
\(497\) | 33.9706 | 1.52379 | ||||||||
\(498\) | −23.7279 | −1.06327 | ||||||||
\(499\) | −20.1066 | − | 34.8257i | −0.900095 | − | 1.55901i | −0.827369 | − | 0.561659i | \(-0.810163\pi\) |
−0.0727259 | − | 0.997352i | \(-0.523170\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.3284 | + | 17.8894i | −0.461440 | + | 0.799238i | ||||
\(502\) | −4.32843 | − | 7.49706i | −0.193187 | − | 0.334610i | ||||
\(503\) | 11.6924 | + | 20.2518i | 0.521338 | + | 0.902984i | 0.999692 | + | 0.0248166i | \(0.00790018\pi\) |
−0.478354 | + | 0.878167i | \(0.658766\pi\) | |||||||
\(504\) | −30.1421 | −1.34264 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 25.3137 | − | 43.8446i | 1.12533 | − | 1.94913i | ||||
\(507\) | 11.6569 | − | 20.1903i | 0.517699 | − | 0.896681i | ||||
\(508\) | −20.8640 | − | 36.1374i | −0.925689 | − | 1.60334i | ||||
\(509\) | −3.39949 | + | 5.88810i | −0.150680 | + | 0.260985i | −0.931478 | − | 0.363799i | \(-0.881480\pi\) |
0.780798 | + | 0.624784i | \(0.214813\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.24264 | 0.408870 | ||||||||
\(512\) | −31.2426 | −1.38074 | ||||||||
\(513\) | 0.328427 | + | 0.568852i | 0.0145004 | + | 0.0251154i | ||||
\(514\) | −0.378680 | + | 0.655892i | −0.0167028 | + | 0.0289302i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 41.1274 | − | 71.2348i | 1.81053 | − | 3.13594i | ||||
\(517\) | 4.34315 | − | 7.52255i | 0.191011 | − | 0.330841i | ||||
\(518\) | −2.91421 | + | 5.04757i | −0.128043 | + | 0.221777i | ||||
\(519\) | 34.5563 | 1.51686 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.2279 | − | 26.3755i | −0.667147 | − | 1.15553i | −0.978698 | − | 0.205304i | \(-0.934182\pi\) |
0.311551 | − | 0.950229i | \(-0.399152\pi\) | |||||||
\(522\) | 4.00000 | − | 6.92820i | 0.175075 | − | 0.303239i | ||||
\(523\) | 8.00000 | 0.349816 | 0.174908 | − | 0.984585i | \(-0.444037\pi\) | ||||
0.174908 | + | 0.984585i | \(0.444037\pi\) | |||||||
\(524\) | 9.10660 | + | 15.7731i | 0.397824 | + | 0.689051i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.65685 | 0.0722423 | ||||||||
\(527\) | 0.792893 | + | 0.532799i | 0.0345390 | + | 0.0232091i | ||||
\(528\) | −37.9706 | −1.65246 | ||||||||
\(529\) | −7.00000 | −0.304348 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −28.4853 | −1.23616 | ||||||||
\(532\) | 7.32843 | − | 12.6932i | 0.317728 | − | 0.550320i | ||||
\(533\) | 8.67157 | + | 15.0196i | 0.375608 | + | 0.650571i | ||||
\(534\) | 36.3848 | + | 63.0203i | 1.57452 | + | 2.72715i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −11.5711 | + | 20.0417i | −0.499794 | + | 0.865669i | ||||
\(537\) | 8.15685 | − | 14.1281i | 0.351994 | − | 0.609672i | ||||
\(538\) | 38.4203 | − | 66.5459i | 1.65642 | − | 2.86900i | ||||
\(539\) | −3.07107 | − | 5.31925i | −0.132280 | − | 0.229116i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.6421 | − | 21.8968i | −0.543528 | − | 0.941418i | −0.998698 | − | 0.0510134i | \(-0.983755\pi\) |
0.455170 | − | 0.890405i | \(-0.349578\pi\) | |||||||
\(542\) | −56.2843 | −2.41762 | ||||||||
\(543\) | −24.8995 | −1.06854 | ||||||||
\(544\) | 0.136039 | + | 0.235626i | 0.00583262 | + | 0.0101024i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −12.8640 | − | 22.2810i | −0.550527 | − | 0.953540i | ||||
\(547\) | 2.86396 | − | 4.96053i | 0.122454 | − | 0.212097i | −0.798281 | − | 0.602285i | \(-0.794257\pi\) |
0.920735 | + | 0.390189i | \(0.127590\pi\) | |||||||
\(548\) | −14.3284 | + | 24.8176i | −0.612080 | + | 1.06015i | ||||
\(549\) | −4.00000 | + | 6.92820i | −0.170716 | + | 0.295689i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.928932 | + | 1.60896i | 0.0395738 | + | 0.0685439i | ||||
\(552\) | −21.3137 | − | 36.9164i | −0.907172 | − | 1.57127i | ||||
\(553\) | −18.3995 | + | 31.8689i | −0.782426 | + | 1.35520i | ||||
\(554\) | 34.1421 | 1.45056 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −44.4853 | −1.88490 | −0.942451 | − | 0.334344i | \(-0.891485\pi\) | ||||
−0.942451 | + | 0.334344i | \(0.891485\pi\) | |||||||
\(558\) | 2.58579 | − | 37.9310i | 0.109465 | − | 1.60575i | ||||
\(559\) | 16.2721 | 0.688236 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.08579 | + | 1.88064i | 0.0458419 | + | 0.0794006i | ||||
\(562\) | 4.82843 | 0.203675 | ||||||||
\(563\) | 2.37868 | − | 4.11999i | 0.100249 | − | 0.173637i | −0.811538 | − | 0.584300i | \(-0.801369\pi\) |
0.911787 | + | 0.410663i | \(0.134703\pi\) | |||||||
\(564\) | −7.65685 | − | 13.2621i | −0.322412 | − | 0.558433i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.65685 | 0.237775 | ||||||||
\(567\) | −11.4497 | + | 19.8315i | −0.480844 | + | 0.832847i | ||||
\(568\) | 31.0563 | − | 53.7912i | 1.30310 | − | 2.25703i | ||||
\(569\) | −7.57107 | + | 13.1135i | −0.317396 | + | 0.549745i | −0.979944 | − | 0.199274i | \(-0.936142\pi\) |
0.662548 | + | 0.749019i | \(0.269475\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.4497 | − | 35.4200i | 0.855795 | − | 1.48228i | −0.0201099 | − | 0.999798i | \(-0.506402\pi\) |
0.875905 | − | 0.482483i | \(-0.160265\pi\) | |||||||
\(572\) | −18.3492 | − | 31.7818i | −0.767220 | − | 1.32886i | ||||
\(573\) | −2.65685 | −0.110992 | ||||||||
\(574\) | −55.2843 | −2.30752 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 13.8995 | − | 24.0746i | 0.579146 | − | 1.00311i | ||||
\(577\) | −16.9853 | − | 29.4194i | −0.707107 | − | 1.22474i | −0.965926 | − | 0.258819i | \(-0.916667\pi\) |
0.258819 | − | 0.965926i | \(-0.416667\pi\) | |||||||
\(578\) | 20.4853 | − | 35.4815i | 0.852075 | − | 1.47584i | ||||
\(579\) | −25.5208 | + | 44.2033i | −1.06061 | + | 1.83703i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.82843 | 0.407752 | ||||||||
\(582\) | 31.5563 | + | 54.6572i | 1.30805 | + | 2.26561i | ||||
\(583\) | −0.449747 | − | 0.778985i | −0.0186266 | − | 0.0322623i | ||||
\(584\) | 8.44975 | − | 14.6354i | 0.349653 | − | 0.605617i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −29.9350 | − | 51.8490i | −1.23660 | − | 2.14186i | ||||
\(587\) | 20.3431 | 0.839651 | 0.419826 | − | 0.907605i | \(-0.362091\pi\) | ||||
0.419826 | + | 0.907605i | \(0.362091\pi\) | |||||||
\(588\) | −10.8284 | −0.446557 | ||||||||
\(589\) | 7.32843 | + | 4.92447i | 0.301963 | + | 0.202909i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.41421 | −0.346114 | ||||||||
\(592\) | 1.50000 | + | 2.59808i | 0.0616496 | + | 0.106780i | ||||
\(593\) | −21.3137 | −0.875249 | −0.437625 | − | 0.899158i | \(-0.644180\pi\) | ||||
−0.437625 | + | 0.899158i | \(0.644180\pi\) | |||||||
\(594\) | −2.62132 | + | 4.54026i | −0.107554 | + | 0.186289i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.91421 | − | 3.31552i | −0.0784092 | − | 0.135809i | ||||
\(597\) | 37.6274 | 1.53999 | ||||||||
\(598\) | 8.82843 | − | 15.2913i | 0.361021 | − | 0.625307i | ||||
\(599\) | −17.4497 | + | 30.2238i | −0.712977 | + | 1.23491i | 0.250757 | + | 0.968050i | \(0.419320\pi\) |
−0.963734 | + | 0.266863i | \(0.914013\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.7426 | + | 20.3389i | 0.478992 | + | 0.829639i | 0.999710 | − | 0.0240900i | \(-0.00766884\pi\) |
−0.520717 | + | 0.853729i | \(0.674336\pi\) | |||||||
\(602\) | −25.9350 | + | 44.9208i | −1.05703 | + | 1.83083i | ||||
\(603\) | −7.41421 | − | 12.8418i | −0.301930 | − | 0.522958i | ||||
\(604\) | −66.2843 | −2.69707 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −24.7279 | − | 42.8300i | −1.00450 | − | 1.73985i | ||||
\(607\) | −2.20711 | + | 3.82282i | −0.0895837 | + | 0.155164i | −0.907335 | − | 0.420408i | \(-0.861887\pi\) |
0.817752 | + | 0.575571i | \(0.195220\pi\) | |||||||
\(608\) | 1.25736 | + | 2.17781i | 0.0509927 | + | 0.0883219i | ||||
\(609\) | −3.41421 | + | 5.91359i | −0.138351 | + | 0.239631i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.51472 | − | 2.62357i | 0.0612790 | − | 0.106138i | ||||
\(612\) | 1.85786 | 0.0750997 | ||||||||
\(613\) | −5.15685 | − | 8.93193i | −0.208283 | − | 0.360757i | 0.742890 | − | 0.669413i | \(-0.233454\pi\) |
−0.951174 | + | 0.308656i | \(0.900121\pi\) | |||||||
\(614\) | −3.32843 | − | 5.76500i | −0.134324 | − | 0.232657i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 55.8701 | 2.25107 | ||||||||
\(617\) | 11.6421 | + | 20.1648i | 0.468695 | + | 0.811803i | 0.999360 | − | 0.0357786i | \(-0.0113911\pi\) |
−0.530665 | + | 0.847582i | \(0.678058\pi\) | |||||||
\(618\) | 70.3553 | 2.83011 | ||||||||
\(619\) | −31.6569 | −1.27240 | −0.636198 | − | 0.771526i | \(-0.719494\pi\) | ||||
−0.636198 | + | 0.771526i | \(0.719494\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.65685 | −0.0664873 | ||||||||
\(622\) | −27.3137 | −1.09518 | ||||||||
\(623\) | −15.0711 | − | 26.1039i | −0.603810 | − | 1.04583i | ||||
\(624\) | −13.2426 | −0.530130 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 4.62132 | + | 8.00436i | 0.184705 | + | 0.319919i | ||||
\(627\) | 10.0355 | + | 17.3821i | 0.400781 | + | 0.694172i | ||||
\(628\) | −56.7696 | −2.26535 | ||||||||
\(629\) | 0.0857864 | − | 0.148586i | 0.00342053 | − | 0.00592453i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.0061 | − | 27.7234i | 0.637193 | − | 1.10365i | −0.348853 | − | 0.937177i | \(-0.613429\pi\) |
0.986046 | − | 0.166473i | \(-0.0532378\pi\) | |||||||
\(632\) | 33.6421 | + | 58.2699i | 1.33821 | + | 2.31785i | ||||
\(633\) | −9.15685 | + | 15.8601i | −0.363952 | + | 0.630384i | ||||
\(634\) | −2.62132 | − | 4.54026i | −0.104106 | − | 0.180317i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.58579 | −0.0628805 | ||||||||
\(637\) | −1.07107 | − | 1.85514i | −0.0424373 | − | 0.0735035i | ||||
\(638\) | −7.41421 | + | 12.8418i | −0.293532 | + | 0.508412i | ||||
\(639\) | 19.8995 | + | 34.4669i | 0.787212 | + | 1.36349i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.98528 | + | 17.2950i | −0.394395 | + | 0.683112i | −0.993024 | − | 0.117915i | \(-0.962379\pi\) |
0.598629 | + | 0.801027i | \(0.295712\pi\) | |||||||
\(642\) | 27.9350 | − | 48.3849i | 1.10251 | − | 1.90960i | ||||
\(643\) | −12.6863 | −0.500298 | −0.250149 | − | 0.968207i | \(-0.580480\pi\) | ||||
−0.250149 | + | 0.968207i | \(0.580480\pi\) | |||||||
\(644\) | 18.4853 | + | 32.0174i | 0.728422 | + | 1.26166i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.328427 | + | 0.568852i | −0.0129218 | + | 0.0223812i | ||||
\(647\) | 22.6863 | 0.891890 | 0.445945 | − | 0.895060i | \(-0.352868\pi\) | ||||
0.445945 | + | 0.895060i | \(0.352868\pi\) | |||||||
\(648\) | 20.9350 | + | 36.2605i | 0.822406 | + | 1.42445i | ||||
\(649\) | 52.7990 | 2.07254 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.20711 | + | 32.3762i | −0.0865033 | + | 1.26892i | ||||
\(652\) | 49.6569 | 1.94471 | ||||||||
\(653\) | −22.1421 | −0.866489 | −0.433244 | − | 0.901276i | \(-0.642631\pi\) | ||||
−0.433244 | + | 0.901276i | \(0.642631\pi\) | |||||||
\(654\) | 15.0711 | + | 26.1039i | 0.589325 | + | 1.02074i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −14.2279 | + | 24.6435i | −0.555507 | + | 0.962166i | ||||
\(657\) | 5.41421 | + | 9.37769i | 0.211229 | + | 0.365859i | ||||
\(658\) | 4.82843 | + | 8.36308i | 0.188232 | + | 0.326027i | ||||
\(659\) | 9.65685 | 0.376178 | 0.188089 | − | 0.982152i | \(-0.439771\pi\) | ||||
0.188089 | + | 0.982152i | \(0.439771\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.5711 | + | 28.7019i | −0.644540 | + | 1.11638i | 0.339868 | + | 0.940473i | \(0.389618\pi\) |
−0.984408 | + | 0.175903i | \(0.943716\pi\) | |||||||
\(662\) | −0.914214 | + | 1.58346i | −0.0355319 | + | 0.0615431i | ||||
\(663\) | 0.378680 | + | 0.655892i | 0.0147067 | + | 0.0254728i | ||||
\(664\) | 8.98528 | − | 15.5630i | 0.348697 | − | 0.603960i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.82843 | −0.264596 | ||||||||
\(667\) | −4.68629 | −0.181454 | ||||||||
\(668\) | −16.3787 | − | 28.3687i | −0.633710 | − | 1.09762i | ||||
\(669\) | 2.08579 | − | 3.61269i | 0.0806412 | − | 0.139675i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.41421 | − | 12.8418i | 0.286223 | − | 0.495752i | ||||
\(672\) | −4.62132 | + | 8.00436i | −0.178271 | + | 0.308775i | ||||
\(673\) | 10.3284 | − | 17.8894i | 0.398132 | − | 0.689584i | −0.595364 | − | 0.803456i | \(-0.702992\pi\) |
0.993495 | + | 0.113872i | \(0.0363254\pi\) | |||||||
\(674\) | 32.1421 | 1.23807 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 18.4853 | + | 32.0174i | 0.710972 | + | 1.23144i | ||||
\(677\) | 20.2990 | − | 35.1589i | 0.780154 | − | 1.35127i | −0.151698 | − | 0.988427i | \(-0.548474\pi\) |
0.931852 | − | 0.362839i | \(-0.118192\pi\) | |||||||
\(678\) | −31.1421 | −1.19601 | ||||||||
\(679\) | −13.0711 | − | 22.6398i | −0.501622 | − | 0.868834i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 37.6274 | 1.44189 | ||||||||
\(682\) | −4.79289 | + | 70.3072i | −0.183529 | + | 2.69220i | ||||
\(683\) | 46.6274 | 1.78415 | 0.892074 | − | 0.451889i | \(-0.149250\pi\) | ||||
0.892074 | + | 0.451889i | \(0.149250\pi\) | |||||||
\(684\) | 17.1716 | 0.656571 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 47.6274 | 1.81842 | ||||||||
\(687\) | −13.8640 | + | 24.0131i | −0.528943 | + | 0.916156i | ||||
\(688\) | 13.3492 | + | 23.1216i | 0.508935 | + | 0.881501i | ||||
\(689\) | −0.156854 | − | 0.271680i | −0.00597567 | − | 0.0103502i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.03553 | + | 12.1859i | −0.267644 | + | 0.463574i | −0.968253 | − | 0.249972i | \(-0.919579\pi\) |
0.700609 | + | 0.713546i | \(0.252912\pi\) | |||||||
\(692\) | −27.3995 | + | 47.4573i | −1.04157 | + | 1.80406i | ||||
\(693\) | −17.8995 | + | 31.0028i | −0.679946 | + | 1.17770i | ||||
\(694\) | 27.2279 | + | 47.1601i | 1.03356 | + | 1.79017i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 6.24264 | + | 10.8126i | 0.236627 | + | 0.409849i | ||||
\(697\) | 1.62742 | 0.0616428 | ||||||||
\(698\) | 84.7696 | 3.20857 | ||||||||
\(699\) | −17.8995 | − | 31.0028i | −0.677021 | − | 1.17263i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.74264 | − | 3.01834i | −0.0658186 | − | 0.114001i | 0.831238 | − | 0.555916i | \(-0.187633\pi\) |
−0.897057 | + | 0.441915i | \(0.854299\pi\) | |||||||
\(702\) | −0.914214 | + | 1.58346i | −0.0345048 | + | 0.0597640i | ||||
\(703\) | 0.792893 | − | 1.37333i | 0.0299045 | − | 0.0517962i | ||||
\(704\) | −25.7635 | + | 44.6236i | −0.970997 | + | 1.68182i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.62132 | + | 6.27231i | 0.136290 | + | 0.236062i | ||||
\(707\) | 10.2426 | + | 17.7408i | 0.385214 | + | 0.667210i | ||||
\(708\) | 46.5416 | − | 80.6125i | 1.74914 | − | 3.02960i | ||||
\(709\) | −5.31371 | −0.199561 | −0.0997803 | − | 0.995009i | \(-0.531814\pi\) | ||||
−0.0997803 | + | 0.995009i | \(0.531814\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −43.1127 | −1.61685 | ||||||||
\(712\) | −55.1127 | −2.06544 | ||||||||
\(713\) | −20.0000 | + | 9.79796i | −0.749006 | + | 0.366936i | ||||
\(714\) | −2.41421 | −0.0903497 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.9350 | + | 22.4041i | 0.483405 | + | 0.837282i | ||||
\(717\) | −30.7990 | −1.15021 | ||||||||
\(718\) | −32.4706 | + | 56.2407i | −1.21179 | + | 2.09888i | ||||
\(719\) | −3.03553 | − | 5.25770i | −0.113206 | − | 0.196079i | 0.803855 | − | 0.594825i | \(-0.202779\pi\) |
−0.917061 | + | 0.398746i | \(0.869445\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.1421 | −1.08531 | ||||||||
\(722\) | 19.8995 | − | 34.4669i | 0.740583 | − | 1.28273i | ||||
\(723\) | −29.7635 | + | 51.5518i | −1.10691 | + | 1.91723i | ||||
\(724\) | 19.7426 | − | 34.1953i | 0.733729 | − | 1.27086i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −48.0416 | + | 83.2105i | −1.78299 | + | 3.08823i | ||||
\(727\) | −23.4203 | − | 40.5652i | −0.868611 | − | 1.50448i | −0.863416 | − | 0.504492i | \(-0.831680\pi\) |
−0.00519502 | − | 0.999987i | \(-0.501654\pi\) | |||||||
\(728\) | 19.4853 | 0.722173 | ||||||||
\(729\) | −23.8284 | −0.882534 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.763456 | − | 1.32234i | 0.0282374 | − | 0.0489087i | ||||
\(732\) | −13.0711 | − | 22.6398i | −0.483121 | − | 0.836789i | ||||
\(733\) | −14.8137 | + | 25.6581i | −0.547157 | + | 0.947703i | 0.451311 | + | 0.892367i | \(0.350957\pi\) |
−0.998468 | + | 0.0553366i | \(0.982377\pi\) | |||||||
\(734\) | 21.9853 | − | 38.0796i | 0.811492 | − | 1.40554i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.34315 | −0.233811 | ||||||||
\(737\) | 13.7426 | + | 23.8030i | 0.506217 | + | 0.876793i | ||||
\(738\) | −32.3848 | − | 56.0921i | −1.19210 | − | 2.06478i | ||||
\(739\) | 3.93503 | − | 6.81567i | 0.144752 | − | 0.250718i | −0.784528 | − | 0.620093i | \(-0.787095\pi\) |
0.929281 | + | 0.369375i | \(0.120428\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.50000 | + | 6.06218i | 0.128576 | + | 0.222700i | ||||
\(742\) | 1.00000 | 0.0367112 | ||||||||
\(743\) | 5.65685 | 0.207530 | 0.103765 | − | 0.994602i | \(-0.466911\pi\) | ||||
0.103765 | + | 0.994602i | \(0.466911\pi\) | |||||||
\(744\) | 49.2487 | + | 33.0936i | 1.80555 | + | 1.21327i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −24.1421 | −0.883906 | ||||||||
\(747\) | 5.75736 | + | 9.97204i | 0.210651 | + | 0.364858i | ||||
\(748\) | −3.44365 | −0.125912 | ||||||||
\(749\) | −11.5711 | + | 20.0417i | −0.422798 | + | 0.732307i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.621320 | + | 1.07616i | 0.0226723 | + | 0.0392696i | 0.877139 | − | 0.480237i | \(-0.159449\pi\) |
−0.854467 | + | 0.519506i | \(0.826116\pi\) | |||||||
\(752\) | 4.97056 | 0.181258 | ||||||||
\(753\) | −4.32843 | + | 7.49706i | −0.157737 | + | 0.273208i | ||||
\(754\) | −2.58579 | + | 4.47871i | −0.0941688 | + | 0.163105i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.91421 | − | 3.31552i | −0.0696193 | − | 0.120584i | ||||
\(757\) | 17.3284 | − | 30.0137i | 0.629812 | − | 1.09087i | −0.357777 | − | 0.933807i | \(-0.616465\pi\) |
0.987589 | − | 0.157060i | \(-0.0502016\pi\) | |||||||
\(758\) | 35.4706 | + | 61.4368i | 1.28835 | + | 2.23149i | ||||
\(759\) | −50.6274 | −1.83766 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.2279 | + | 17.7153i | 0.370762 | + | 0.642178i | 0.989683 | − | 0.143275i | \(-0.0457633\pi\) |
−0.618921 | + | 0.785453i | \(0.712430\pi\) | |||||||
\(762\) | −31.7635 | + | 55.0159i | −1.15067 | + | 1.99302i | ||||
\(763\) | −6.24264 | − | 10.8126i | −0.225999 | − | 0.391441i | ||||
\(764\) | 2.10660 | − | 3.64874i | 0.0762142 | − | 0.132007i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 30.0563 | − | 52.0591i | 1.08598 | − | 1.88097i | ||||
\(767\) | 18.4142 | 0.664899 | ||||||||
\(768\) | 36.1777 | + | 62.6616i | 1.30545 | + | 2.26110i | ||||
\(769\) | 13.0563 | + | 22.6143i | 0.470824 | + | 0.815491i | 0.999443 | − | 0.0333680i | \(-0.0106233\pi\) |
−0.528619 | + | 0.848859i | \(0.677290\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.757359 | 0.0272756 | ||||||||
\(772\) | −40.4706 | − | 70.0971i | −1.45657 | − | 2.52285i | ||||
\(773\) | −18.0000 | −0.647415 | −0.323708 | − | 0.946157i | \(-0.604929\pi\) | ||||
−0.323708 | + | 0.946157i | \(0.604929\pi\) | |||||||
\(774\) | −60.7696 | −2.18432 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −47.7990 | −1.71588 | ||||||||
\(777\) | 5.82843 | 0.209094 | ||||||||
\(778\) | −20.6924 | − | 35.8403i | −0.741858 | − | 1.28494i | ||||
\(779\) | 15.0416 | 0.538922 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.8848 | − | 63.8863i | −1.31984 | − | 2.28603i | ||||
\(782\) | −0.828427 | − | 1.43488i | −0.0296245 | − | 0.0513111i | ||||
\(783\) | 0.485281 | 0.0173425 | ||||||||
\(784\) | 1.75736 | − | 3.04384i | 0.0627628 | − | 0.108708i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 13.8640 | − | 24.0131i | 0.494511 | − | 0.856518i | ||||
\(787\) | 19.7929 | + | 34.2823i | 0.705540 | + | 1.22203i | 0.966496 | + | 0.256681i | \(0.0826290\pi\) |
−0.260956 | + | 0.965351i | \(0.584038\pi\) | |||||||
\(788\) | 6.67157 | − | 11.5555i | 0.237665 | − | 0.411648i | ||||
\(789\) | −0.828427 | − | 1.43488i | −0.0294928 | − | 0.0510830i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.8995 | 0.458653 | ||||||||
\(792\) | 32.7279 | + | 56.6864i | 1.16294 | + | 2.01426i | ||||
\(793\) | 2.58579 | − | 4.47871i | 0.0918240 | − | 0.159044i | ||||
\(794\) | −19.9350 | − | 34.5285i | −0.707468 | − | 1.22537i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −29.8345 | + | 51.6749i | −1.05746 | + | 1.83157i | ||||
\(797\) | −11.2279 | + | 19.4473i | −0.397713 | + | 0.688860i | −0.993443 | − | 0.114325i | \(-0.963529\pi\) |
0.595730 | + | 0.803185i | \(0.296863\pi\) | |||||||
\(798\) | −22.3137 | −0.789897 | ||||||||
\(799\) | −0.142136 | − | 0.246186i | −0.00502840 | − | 0.00870944i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 17.6569 | − | 30.5826i | 0.623874 | − | 1.08058i | ||||
\(802\) | −51.1127 | −1.80485 | ||||||||
\(803\) | −10.0355 | − | 17.3821i | −0.354146 | − | 0.613399i | ||||
\(804\) | 48.4558 | 1.70891 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.67157 | + | 24.5204i | −0.0588786 | + | 0.863694i | ||||
\(807\) | −76.8406 | −2.70492 | ||||||||
\(808\) | 37.4558 | 1.31769 | ||||||||
\(809\) | 22.9853 | + | 39.8117i | 0.808119 | + | 1.39970i | 0.914165 | + | 0.405343i | \(0.132848\pi\) |
−0.106045 | + | 0.994361i | \(0.533819\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.86396 | + | 10.1567i | −0.205912 | + | 0.356649i | −0.950423 | − | 0.310961i | \(-0.899349\pi\) |
0.744511 | + | 0.667610i | \(0.232683\pi\) | |||||||
\(812\) | −5.41421 | − | 9.37769i | −0.190002 | − | 0.329093i | ||||
\(813\) | 28.1421 | + | 48.7436i | 0.986988 | + | 1.70951i | ||||
\(814\) | 12.6569 | 0.443623 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.621320 | + | 1.07616i | −0.0217506 | + | 0.0376731i | ||||
\(817\) | 7.05635 | − | 12.2220i | 0.246870 | − | 0.427592i | ||||
\(818\) | −11.2782 | − | 19.5344i | −0.394332 | − | 0.683003i | ||||
\(819\) | −6.24264 | + | 10.8126i | −0.218136 | + | 0.377822i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.48528 | −0.296138 | −0.148069 | − | 0.988977i | \(-0.547306\pi\) | ||||
−0.148069 | + | 0.988977i | \(0.547306\pi\) | |||||||
\(822\) | 43.6274 | 1.52168 | ||||||||
\(823\) | −3.10660 | − | 5.38079i | −0.108289 | − | 0.187563i | 0.806788 | − | 0.590841i | \(-0.201204\pi\) |
−0.915077 | + | 0.403278i | \(0.867871\pi\) | |||||||
\(824\) | −26.6421 | + | 46.1455i | −0.928123 | + | 1.60756i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −29.3492 | + | 50.8344i | −1.02119 | + | 1.76875i | ||||
\(827\) | 8.55025 | − | 14.8095i | 0.297321 | − | 0.514976i | −0.678201 | − | 0.734877i | \(-0.737240\pi\) |
0.975522 | + | 0.219901i | \(0.0705734\pi\) | |||||||
\(828\) | −21.6569 | + | 37.5108i | −0.752628 | + | 1.30359i | ||||
\(829\) | −46.4264 | −1.61246 | −0.806228 | − | 0.591605i | \(-0.798494\pi\) | ||||
−0.806228 | + | 0.591605i | \(0.798494\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.0711 | − | 29.5680i | −0.592189 | − | 1.02570i | ||||
\(832\) | −8.98528 | + | 15.5630i | −0.311509 | + | 0.539549i | ||||
\(833\) | −0.201010 | −0.00696459 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −31.8284 | −1.10081 | ||||||||
\(837\) | 2.07107 | − | 1.01461i | 0.0715866 | − | 0.0350701i | ||||
\(838\) | 67.5980 | 2.33513 | ||||||||
\(839\) | 30.6274 | 1.05738 | 0.528688 | − | 0.848816i | \(-0.322684\pi\) | ||||
0.528688 | + | 0.848816i | \(0.322684\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.6274 | −0.952670 | ||||||||
\(842\) | 3.44975 | − | 5.97514i | 0.118886 | − | 0.205917i | ||||
\(843\) | −2.41421 | − | 4.18154i | −0.0831499 | − | 0.144020i | ||||
\(844\) | −14.5208 | − | 25.1508i | −0.499827 | − | 0.865726i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −5.65685 | + | 9.79796i | −0.194487 | + | 0.336861i | ||||
\(847\) | 19.8995 | − | 34.4669i | 0.683755 | − | 1.18430i | ||||
\(848\) | 0.257359 | − | 0.445759i | 0.00883776 | − | 0.0153074i | ||||
\(849\) | −2.82843 | − | 4.89898i | −0.0970714 | − | 0.168133i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.00000 | + | 3.46410i | 0.0685591 | + | 0.118748i | ||||
\(852\) | −130.054 | −4.45557 | ||||||||
\(853\) | 32.4853 | 1.11227 | 0.556137 | − | 0.831090i | \(-0.312283\pi\) | ||||
0.556137 | + | 0.831090i | \(0.312283\pi\) | |||||||
\(854\) | 8.24264 | + | 14.2767i | 0.282057 | + | 0.488538i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 21.1569 | + | 36.6447i | 0.723126 | + | 1.25249i | ||||
\(857\) | −1.25736 | + | 2.17781i | −0.0429506 | + | 0.0743926i | −0.886702 | − | 0.462342i | \(-0.847009\pi\) |
0.843751 | + | 0.536735i | \(0.180342\pi\) | |||||||
\(858\) | −27.9350 | + | 48.3849i | −0.953686 | + | 1.65183i | ||||
\(859\) | 6.30761 | − | 10.9251i | 0.215213 | − | 0.372760i | −0.738125 | − | 0.674663i | \(-0.764289\pi\) |
0.953338 | + | 0.301904i | \(0.0976221\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 27.6421 | + | 47.8776i | 0.942041 | + | 1.63166i | ||||
\(862\) | 30.4706 | + | 52.7766i | 1.03783 | + | 1.79758i | ||||
\(863\) | −19.6924 | + | 34.1082i | −0.670337 | + | 1.16106i | 0.307472 | + | 0.951557i | \(0.400517\pi\) |
−0.977809 | + | 0.209500i | \(0.932816\pi\) | |||||||
\(864\) | 0.656854 | 0.0223466 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 84.7696 | 2.88059 | ||||||||
\(867\) | −40.9706 | −1.39143 | ||||||||
\(868\) | −42.7132 | − | 28.7019i | −1.44978 | − | 0.974207i | ||||
\(869\) | 79.9117 | 2.71082 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.79289 | + | 8.30153i | 0.162401 | + | 0.281287i | ||||
\(872\) | −22.8284 | −0.773068 | ||||||||
\(873\) | 15.3137 | − | 26.5241i | 0.518291 | − | 0.897705i | ||||
\(874\) | −7.65685 | − | 13.2621i | −0.258997 | − | 0.448596i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −35.3848 | −1.19554 | ||||||||
\(877\) | 24.0858 | − | 41.7178i | 0.813319 | − | 1.40871i | −0.0972093 | − | 0.995264i | \(-0.530992\pi\) |
0.910529 | − | 0.413446i | \(-0.135675\pi\) | |||||||
\(878\) | 14.5711 | − | 25.2378i | 0.491750 | − | 0.851735i | ||||
\(879\) | −29.9350 | + | 51.8490i | −1.00968 | + | 1.74882i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.1569 | + | 29.7165i | −0.578029 | + | 1.00118i | 0.417676 | + | 0.908596i | \(0.362845\pi\) |
−0.995705 | + | 0.0925798i | \(0.970489\pi\) | |||||||
\(882\) | 4.00000 | + | 6.92820i | 0.134687 | + | 0.233285i | ||||
\(883\) | −26.2843 | −0.884536 | −0.442268 | − | 0.896883i | \(-0.645826\pi\) | ||||
−0.442268 | + | 0.896883i | \(0.645826\pi\) | |||||||
\(884\) | −1.20101 | −0.0403943 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.9853 | + | 27.6873i | −0.537036 | + | 0.930174i | ||||
\(887\) | 26.6630 | + | 46.1816i | 0.895254 | + | 1.55063i | 0.833490 | + | 0.552535i | \(0.186339\pi\) |
0.0617647 | + | 0.998091i | \(0.480327\pi\) | |||||||
\(888\) | 5.32843 | − | 9.22911i | 0.178810 | − | 0.309709i | ||||
\(889\) | 13.1569 | − | 22.7883i | 0.441267 | − | 0.764296i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 49.7279 | 1.66595 | ||||||||
\(892\) | 3.30761 | + | 5.72895i | 0.110747 | + | 0.191819i | ||||
\(893\) | −1.31371 | − | 2.27541i | −0.0439616 | − | 0.0761437i | ||||
\(894\) | −2.91421 | + | 5.04757i | −0.0974659 | + | 0.168816i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −24.8137 | − | 42.9786i | −0.828968 | − | 1.43581i | ||||
\(897\) | −17.6569 | −0.589545 | ||||||||
\(898\) | 11.1716 | 0.372800 | ||||||||
\(899\) | 5.85786 | − | 2.86976i | 0.195371 | − | 0.0957117i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.0294373 | −0.000980697 | ||||||||
\(902\) | 60.0269 | + | 103.970i | 1.99868 | + | 3.46181i | ||||
\(903\) | 51.8701 | 1.72613 | ||||||||
\(904\) | 11.7929 | − | 20.4259i | 0.392226 | − | 0.679355i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 50.4558 | + | 87.3921i | 1.67628 | + | 2.90341i | ||||
\(907\) | −55.3137 | −1.83666 | −0.918331 | − | 0.395814i | \(-0.870463\pi\) | ||||
−0.918331 | + | 0.395814i | \(0.870463\pi\) | |||||||
\(908\) | −29.8345 | + | 51.6749i | −0.990093 | + | 1.71489i | ||||
\(909\) | −12.0000 | + | 20.7846i | −0.398015 | + | 0.689382i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.5208 | − | 42.4713i | −0.812411 | − | 1.40714i | −0.911172 | − | 0.412026i | \(-0.864821\pi\) |
0.0987614 | − | 0.995111i | \(-0.468512\pi\) | |||||||
\(912\) | −5.74264 | + | 9.94655i | −0.190158 | + | 0.329363i | ||||
\(913\) | −10.6716 | − | 18.4837i | −0.353178 | − | 0.611721i | ||||
\(914\) | −75.1127 | −2.48451 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −21.9853 | − | 38.0796i | −0.726414 | − | 1.25819i | ||||
\(917\) | −5.74264 | + | 9.94655i | −0.189639 | + | 0.328464i | ||||
\(918\) | 0.0857864 | + | 0.148586i | 0.00283137 | + | 0.00490408i | ||||
\(919\) | 7.55025 | − | 13.0774i | 0.249060 | − | 0.431384i | −0.714205 | − | 0.699936i | \(-0.753212\pi\) |
0.963265 | + | 0.268552i | \(0.0865451\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.32843 | + | 5.76500i | −0.109675 | + | 0.189963i | ||||
\(922\) | 63.1127 | 2.07851 | ||||||||
\(923\) | −12.8640 | − | 22.2810i | −0.423422 | − | 0.733389i | ||||
\(924\) | −58.4914 | − | 101.310i | −1.92423 | − | 3.33286i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −60.2843 | −1.98106 | ||||||||
\(927\) | −17.0711 | − | 29.5680i | −0.560687 | − | 0.971139i | ||||
\(928\) | 1.85786 | 0.0609874 | ||||||||
\(929\) | 24.4853 | 0.803336 | 0.401668 | − | 0.915785i | \(-0.368431\pi\) | ||||
0.401668 | + | 0.915785i | \(0.368431\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.85786 | −0.0608890 | ||||||||
\(932\) | 56.7696 | 1.85955 | ||||||||
\(933\) | 13.6569 | + | 23.6544i | 0.447105 | + | 0.774409i | ||||
\(934\) | 19.3137 | 0.631964 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 11.4142 | + | 19.7700i | 0.373085 | + | 0.646203i | ||||
\(937\) | 19.1569 | + | 33.1806i | 0.625827 | + | 1.08396i | 0.988380 | + | 0.152001i | \(0.0485718\pi\) |
−0.362553 | + | 0.931963i | \(0.618095\pi\) | |||||||
\(938\) | −30.5563 | −0.997700 | ||||||||
\(939\) | 4.62132 | − | 8.00436i | 0.150811 | − | 0.261212i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.5000 | − | 30.3109i | 0.570484 | − | 0.988107i | −0.426033 | − | 0.904708i | \(-0.640089\pi\) |
0.996516 | − | 0.0833989i | \(-0.0265776\pi\) | |||||||
\(942\) | 43.2132 | + | 74.8475i | 1.40796 | + | 2.43866i | ||||
\(943\) | −18.9706 | + | 32.8580i | −0.617767 | + | 1.07000i | ||||
\(944\) | 15.1066 | + | 26.1654i | 0.491678 | + | 0.851611i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 112.640 | 3.66223 | ||||||||
\(947\) | 19.4497 | + | 33.6880i | 0.632032 | + | 1.09471i | 0.987136 | + | 0.159884i | \(0.0511122\pi\) |
−0.355104 | + | 0.934827i | \(0.615555\pi\) | |||||||
\(948\) | 70.4411 | − | 122.008i | 2.28782 | − | 3.96262i | ||||
\(949\) | −3.50000 | − | 6.06218i | −0.113615 | − | 0.196787i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.62132 | + | 4.54026i | −0.0850021 | + | 0.147228i | ||||
\(952\) | 0.914214 | − | 1.58346i | 0.0296298 | − | 0.0513204i | ||||
\(953\) | −20.4853 | −0.663583 | −0.331792 | − | 0.943353i | \(-0.607653\pi\) | ||||
−0.331792 | + | 0.943353i | \(0.607653\pi\) | |||||||
\(954\) | 0.585786 | + | 1.01461i | 0.0189655 | + | 0.0328493i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 24.4203 | − | 42.2972i | 0.789809 | − | 1.36799i | ||||
\(957\) | 14.8284 | 0.479335 | ||||||||
\(958\) | −11.7426 | − | 20.3389i | −0.379387 | − | 0.657118i | ||||
\(959\) | −18.0711 | −0.583545 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0000 | − | 24.4949i | 0.612903 | − | 0.790158i | ||||
\(962\) | 4.41421 | 0.142320 | ||||||||
\(963\) | −27.1127 | −0.873694 | ||||||||
\(964\) | −47.1985 | − | 81.7502i | −1.52016 | − | 2.63300i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 28.1421 | − | 48.7436i | 0.905458 | − | 1.56830i | ||||
\(967\) | −23.2782 | − | 40.3190i | −0.748576 | − | 1.29657i | −0.948505 | − | 0.316761i | \(-0.897405\pi\) |
0.199930 | − | 0.979810i | \(-0.435929\pi\) | |||||||
\(968\) | −36.3848 | − | 63.0203i | −1.16945 | − | 2.02555i | ||||
\(969\) | 0.656854 | 0.0211012 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −29.3492 | + | 50.8344i | −0.941862 | + | 1.63135i | −0.179947 | + | 0.983676i | \(0.557592\pi\) |
−0.761915 | + | 0.647676i | \(0.775741\pi\) | |||||||
\(972\) | 41.4558 | − | 71.8036i | 1.32970 | − | 2.30310i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −20.9853 | + | 36.3476i | −0.672412 | + | 1.16465i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.48528 | 0.271607 | ||||||||
\(977\) | −16.4853 | −0.527411 | −0.263705 | − | 0.964603i | \(-0.584945\pi\) | ||||
−0.263705 | + | 0.964603i | \(0.584945\pi\) | |||||||
\(978\) | −37.7990 | − | 65.4698i | −1.20868 | − | 2.09349i | ||||
\(979\) | −32.7279 | + | 56.6864i | −1.04599 | + | 1.81171i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.31371 | − | 12.6677i | 0.233509 | − | 0.404449i | ||||
\(982\) | −5.32843 | + | 9.22911i | −0.170037 | + | 0.294513i | ||||
\(983\) | 24.4203 | − | 42.2972i | 0.778887 | − | 1.34907i | −0.153697 | − | 0.988118i | \(-0.549118\pi\) |
0.932584 | − | 0.360954i | \(-0.117549\pi\) | |||||||
\(984\) | 101.083 | 3.22242 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.242641 | + | 0.420266i | 0.00772725 | + | 0.0133840i | ||||
\(987\) | 4.82843 | − | 8.36308i | 0.153691 | − | 0.266200i | ||||
\(988\) | −11.1005 | −0.353154 | ||||||||
\(989\) | 17.7990 | + | 30.8288i | 0.565975 | + | 0.980297i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.9411 | −0.633451 | −0.316725 | − | 0.948517i | \(-0.602583\pi\) | ||||
−0.316725 | + | 0.948517i | \(0.602583\pi\) | |||||||
\(992\) | 7.92893 | − | 3.88437i | 0.251744 | − | 0.123329i | ||||
\(993\) | 1.82843 | 0.0580234 | ||||||||
\(994\) | 82.0122 | 2.60127 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −37.6274 | −1.19227 | ||||||||
\(997\) | −23.2990 | + | 40.3550i | −0.737886 | + | 1.27806i | 0.215559 | + | 0.976491i | \(0.430843\pi\) |
−0.953445 | + | 0.301566i | \(0.902491\pi\) | |||||||
\(998\) | −48.5416 | − | 84.0766i | −1.53656 | − | 2.66140i | ||||
\(999\) | −0.207107 | − | 0.358719i | −0.00655257 | − | 0.0113494i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))