Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(37,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 10x^{8} - 8x^{7} + 49x^{6} - 39x^{5} + 128x^{4} - 14x^{3} + 119x^{2} - 49x + 49 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.5 | ||
Root | \(-1.03354 - 1.79014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 201.37 |
Dual form | 201.2.e.b.163.5 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03354 | + | 1.79014i | 0.730820 | + | 1.26582i | 0.956533 | + | 0.291624i | \(0.0941955\pi\) |
−0.225713 | + | 0.974194i | \(0.572471\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.13639 | + | 1.96829i | −0.568196 | + | 0.984144i | ||||
\(5\) | −3.33986 | −1.49363 | −0.746814 | − | 0.665032i | \(-0.768418\pi\) | ||||
−0.746814 | + | 0.665032i | \(0.768418\pi\) | |||||||
\(6\) | −1.03354 | − | 1.79014i | −0.421939 | − | 0.730820i | ||||
\(7\) | −2.29539 | + | 3.97573i | −0.867574 | + | 1.50268i | −0.00310622 | + | 0.999995i | \(0.500989\pi\) |
−0.864468 | + | 0.502688i | \(0.832345\pi\) | |||||||
\(8\) | −0.563865 | −0.199356 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −3.45186 | − | 5.97880i | −1.09157 | − | 1.89066i | ||||
\(11\) | 0.625458 | − | 1.08333i | 0.188583 | − | 0.326635i | −0.756195 | − | 0.654346i | \(-0.772944\pi\) |
0.944778 | + | 0.327711i | \(0.106277\pi\) | |||||||
\(12\) | 1.13639 | − | 1.96829i | 0.328048 | − | 0.568196i | ||||
\(13\) | −0.156474 | − | 0.271021i | −0.0433982 | − | 0.0751678i | 0.843510 | − | 0.537113i | \(-0.180485\pi\) |
−0.886909 | + | 0.461945i | \(0.847152\pi\) | |||||||
\(14\) | −9.48945 | −2.53616 | ||||||||
\(15\) | 3.33986 | 0.862347 | ||||||||
\(16\) | 1.69001 | + | 2.92718i | 0.422503 | + | 0.731796i | ||||
\(17\) | 1.78514 | + | 3.09195i | 0.432960 | + | 0.749908i | 0.997127 | − | 0.0757524i | \(-0.0241359\pi\) |
−0.564167 | + | 0.825661i | \(0.690803\pi\) | |||||||
\(18\) | 1.03354 | + | 1.79014i | 0.243607 | + | 0.421939i | ||||
\(19\) | 2.95186 | + | 5.11277i | 0.677203 | + | 1.17295i | 0.975820 | + | 0.218577i | \(0.0701415\pi\) |
−0.298616 | + | 0.954373i | \(0.596525\pi\) | |||||||
\(20\) | 3.79539 | − | 6.57380i | 0.848674 | − | 1.46995i | ||||
\(21\) | 2.29539 | − | 3.97573i | 0.500894 | − | 0.867574i | ||||
\(22\) | 2.58573 | 0.551280 | ||||||||
\(23\) | −2.56707 | − | 4.44630i | −0.535271 | − | 0.927117i | −0.999150 | − | 0.0412186i | \(-0.986876\pi\) |
0.463879 | − | 0.885899i | \(-0.346457\pi\) | |||||||
\(24\) | 0.563865 | 0.115098 | ||||||||
\(25\) | 6.15464 | 1.23093 | ||||||||
\(26\) | 0.323444 | − | 0.560221i | 0.0634325 | − | 0.109868i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −5.21692 | − | 9.03597i | −0.985905 | − | 1.70764i | ||||
\(29\) | 4.73379 | − | 8.19917i | 0.879043 | − | 1.52255i | 0.0266508 | − | 0.999645i | \(-0.491516\pi\) |
0.852392 | − | 0.522903i | \(-0.175151\pi\) | |||||||
\(30\) | 3.45186 | + | 5.97880i | 0.630221 | + | 1.09157i | ||||
\(31\) | −1.62546 | + | 2.81538i | −0.291941 | + | 0.505656i | −0.974269 | − | 0.225390i | \(-0.927634\pi\) |
0.682328 | + | 0.731046i | \(0.260968\pi\) | |||||||
\(32\) | −4.05724 | + | 7.02734i | −0.717225 | + | 1.24227i | ||||
\(33\) | −0.625458 | + | 1.08333i | −0.108878 | + | 0.188583i | ||||
\(34\) | −3.69001 | + | 6.39128i | −0.632831 | + | 1.09610i | ||||
\(35\) | 7.66626 | − | 13.2783i | 1.29583 | − | 2.24445i | ||||
\(36\) | −1.13639 | + | 1.96829i | −0.189399 | + | 0.328048i | ||||
\(37\) | 2.61310 | + | 4.52603i | 0.429592 | + | 0.744074i | 0.996837 | − | 0.0794745i | \(-0.0253242\pi\) |
−0.567245 | + | 0.823549i | \(0.691991\pi\) | |||||||
\(38\) | −6.10171 | + | 10.5685i | −0.989827 | + | 1.71443i | ||||
\(39\) | 0.156474 | + | 0.271021i | 0.0250559 | + | 0.0433982i | ||||
\(40\) | 1.88323 | 0.297764 | ||||||||
\(41\) | −1.63781 | + | 2.83677i | −0.255783 | + | 0.443030i | −0.965108 | − | 0.261852i | \(-0.915667\pi\) |
0.709325 | + | 0.704882i | \(0.249000\pi\) | |||||||
\(42\) | 9.48945 | 1.46425 | ||||||||
\(43\) | 6.40409 | 0.976614 | 0.488307 | − | 0.872672i | \(-0.337615\pi\) | ||||
0.488307 | + | 0.872672i | \(0.337615\pi\) | |||||||
\(44\) | 1.42153 | + | 2.46216i | 0.214304 | + | 0.371185i | ||||
\(45\) | −3.33986 | −0.497876 | ||||||||
\(46\) | 5.30632 | − | 9.19082i | 0.782374 | − | 1.35511i | ||||
\(47\) | −5.68017 | + | 9.83835i | −0.828539 | + | 1.43507i | 0.0706459 | + | 0.997501i | \(0.477494\pi\) |
−0.899185 | + | 0.437570i | \(0.855839\pi\) | |||||||
\(48\) | −1.69001 | − | 2.92718i | −0.243932 | − | 0.422503i | ||||
\(49\) | −7.03759 | − | 12.1895i | −1.00537 | − | 1.74135i | ||||
\(50\) | 6.36104 | + | 11.0176i | 0.899586 | + | 1.55813i | ||||
\(51\) | −1.78514 | − | 3.09195i | −0.249969 | − | 0.432960i | ||||
\(52\) | 0.711265 | 0.0986347 | ||||||||
\(53\) | −6.86493 | −0.942971 | −0.471485 | − | 0.881874i | \(-0.656282\pi\) | ||||
−0.471485 | + | 0.881874i | \(0.656282\pi\) | |||||||
\(54\) | −1.03354 | − | 1.79014i | −0.140646 | − | 0.243607i | ||||
\(55\) | −2.08894 | + | 3.61815i | −0.281673 | + | 0.487871i | ||||
\(56\) | 1.29429 | − | 2.24177i | 0.172956 | − | 0.299569i | ||||
\(57\) | −2.95186 | − | 5.11277i | −0.390983 | − | 0.677203i | ||||
\(58\) | 19.5702 | 2.56969 | ||||||||
\(59\) | 3.85632 | 0.502050 | 0.251025 | − | 0.967981i | \(-0.419232\pi\) | ||||
0.251025 | + | 0.967981i | \(0.419232\pi\) | |||||||
\(60\) | −3.79539 | + | 6.57380i | −0.489982 | + | 0.848674i | ||||
\(61\) | −2.79859 | − | 4.84730i | −0.358323 | − | 0.620634i | 0.629358 | − | 0.777116i | \(-0.283318\pi\) |
−0.987681 | + | 0.156482i | \(0.949985\pi\) | |||||||
\(62\) | −6.71988 | −0.853425 | ||||||||
\(63\) | −2.29539 | + | 3.97573i | −0.289191 | + | 0.500894i | ||||
\(64\) | −10.0132 | −1.25164 | ||||||||
\(65\) | 0.522602 | + | 0.905173i | 0.0648208 | + | 0.112273i | ||||
\(66\) | −2.58573 | −0.318282 | ||||||||
\(67\) | 6.32977 | + | 5.18980i | 0.773305 | + | 0.634034i | ||||
\(68\) | −8.11447 | −0.984024 | ||||||||
\(69\) | 2.56707 | + | 4.44630i | 0.309039 | + | 0.535271i | ||||
\(70\) | 31.6934 | 3.78809 | ||||||||
\(71\) | 5.36356 | − | 9.28995i | 0.636537 | − | 1.10251i | −0.349650 | − | 0.936880i | \(-0.613700\pi\) |
0.986187 | − | 0.165634i | \(-0.0529671\pi\) | |||||||
\(72\) | −0.563865 | −0.0664521 | ||||||||
\(73\) | −3.36950 | − | 5.83614i | −0.394370 | − | 0.683069i | 0.598651 | − | 0.801010i | \(-0.295704\pi\) |
−0.993021 | + | 0.117942i | \(0.962370\pi\) | |||||||
\(74\) | −5.40147 | + | 9.35562i | −0.627908 | + | 1.08757i | ||||
\(75\) | −6.15464 | −0.710676 | ||||||||
\(76\) | −13.4179 | −1.53914 | ||||||||
\(77\) | 2.87134 | + | 4.97330i | 0.327219 | + | 0.566760i | ||||
\(78\) | −0.323444 | + | 0.560221i | −0.0366228 | + | 0.0634325i | ||||
\(79\) | −2.22355 | + | 3.85129i | −0.250168 | + | 0.433304i | −0.963572 | − | 0.267449i | \(-0.913819\pi\) |
0.713404 | + | 0.700753i | \(0.247153\pi\) | |||||||
\(80\) | −5.64439 | − | 9.77637i | −0.631062 | − | 1.09303i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −6.77095 | −0.747727 | ||||||||
\(83\) | 5.62179 | + | 9.73722i | 0.617071 | + | 1.06880i | 0.990017 | + | 0.140946i | \(0.0450144\pi\) |
−0.372946 | + | 0.927853i | \(0.621652\pi\) | |||||||
\(84\) | 5.21692 | + | 9.03597i | 0.569212 | + | 0.985905i | ||||
\(85\) | −5.96211 | − | 10.3267i | −0.646681 | − | 1.12008i | ||||
\(86\) | 6.61885 | + | 11.4642i | 0.713729 | + | 1.23622i | ||||
\(87\) | −4.73379 | + | 8.19917i | −0.507516 | + | 0.879043i | ||||
\(88\) | −0.352674 | + | 0.610849i | −0.0375951 | + | 0.0651167i | ||||
\(89\) | −1.04520 | −0.110791 | −0.0553957 | − | 0.998464i | \(-0.517642\pi\) | ||||
−0.0553957 | + | 0.998464i | \(0.517642\pi\) | |||||||
\(90\) | −3.45186 | − | 5.97880i | −0.363858 | − | 0.630221i | ||||
\(91\) | 1.43668 | 0.150605 | ||||||||
\(92\) | 11.6688 | 1.21656 | ||||||||
\(93\) | 1.62546 | − | 2.81538i | 0.168552 | − | 0.291941i | ||||
\(94\) | −23.4827 | −2.42205 | ||||||||
\(95\) | −9.85879 | − | 17.0759i | −1.01149 | − | 1.75195i | ||||
\(96\) | 4.05724 | − | 7.02734i | 0.414090 | − | 0.717225i | ||||
\(97\) | −3.31725 | − | 5.74565i | −0.336816 | − | 0.583383i | 0.647016 | − | 0.762477i | \(-0.276017\pi\) |
−0.983832 | + | 0.179094i | \(0.942683\pi\) | |||||||
\(98\) | 14.5472 | − | 25.1965i | 1.46949 | − | 2.54523i | ||||
\(99\) | 0.625458 | − | 1.08333i | 0.0628609 | − | 0.108878i | ||||
\(100\) | −6.99408 | + | 12.1141i | −0.699408 | + | 1.21141i | ||||
\(101\) | 7.45844 | − | 12.9184i | 0.742142 | − | 1.28543i | −0.209376 | − | 0.977835i | \(-0.567143\pi\) |
0.951518 | − | 0.307593i | \(-0.0995235\pi\) | |||||||
\(102\) | 3.69001 | − | 6.39128i | 0.365365 | − | 0.632831i | ||||
\(103\) | 8.52214 | − | 14.7608i | 0.839711 | − | 1.45442i | −0.0504249 | − | 0.998728i | \(-0.516058\pi\) |
0.890136 | − | 0.455695i | \(-0.150609\pi\) | |||||||
\(104\) | 0.0882303 | + | 0.152819i | 0.00865170 | + | 0.0149852i | ||||
\(105\) | −7.66626 | + | 13.2783i | −0.748150 | + | 1.29583i | ||||
\(106\) | −7.09515 | − | 12.2892i | −0.689142 | − | 1.19363i | ||||
\(107\) | 11.6491 | 1.12616 | 0.563082 | − | 0.826401i | \(-0.309616\pi\) | ||||
0.563082 | + | 0.826401i | \(0.309616\pi\) | |||||||
\(108\) | 1.13639 | − | 1.96829i | 0.109349 | − | 0.189399i | ||||
\(109\) | 3.98592 | 0.381782 | 0.190891 | − | 0.981611i | \(-0.438862\pi\) | ||||
0.190891 | + | 0.981611i | \(0.438862\pi\) | |||||||
\(110\) | −8.63598 | −0.823408 | ||||||||
\(111\) | −2.61310 | − | 4.52603i | −0.248025 | − | 0.429592i | ||||
\(112\) | −15.5169 | −1.46621 | ||||||||
\(113\) | −5.70231 | + | 9.87670i | −0.536428 | + | 0.929121i | 0.462664 | + | 0.886534i | \(0.346894\pi\) |
−0.999093 | + | 0.0425878i | \(0.986440\pi\) | |||||||
\(114\) | 6.10171 | − | 10.5685i | 0.571477 | − | 0.989827i | ||||
\(115\) | 8.57365 | + | 14.8500i | 0.799497 | + | 1.38477i | ||||
\(116\) | 10.7589 | + | 18.6349i | 0.998938 | + | 1.73021i | ||||
\(117\) | −0.156474 | − | 0.271021i | −0.0144661 | − | 0.0250559i | ||||
\(118\) | 3.98564 | + | 6.90334i | 0.366908 | + | 0.635504i | ||||
\(119\) | −16.3903 | −1.50250 | ||||||||
\(120\) | −1.88323 | −0.171914 | ||||||||
\(121\) | 4.71760 | + | 8.17113i | 0.428873 | + | 0.742830i | ||||
\(122\) | 5.78489 | − | 10.0197i | 0.523739 | − | 0.907143i | ||||
\(123\) | 1.63781 | − | 2.83677i | 0.147677 | − | 0.255783i | ||||
\(124\) | −3.69432 | − | 6.39874i | −0.331759 | − | 0.574624i | ||||
\(125\) | −3.85632 | −0.344920 | ||||||||
\(126\) | −9.48945 | −0.845388 | ||||||||
\(127\) | −3.97235 | + | 6.88032i | −0.352489 | + | 0.610530i | −0.986685 | − | 0.162643i | \(-0.947998\pi\) |
0.634196 | + | 0.773173i | \(0.281331\pi\) | |||||||
\(128\) | −2.23448 | − | 3.87023i | −0.197502 | − | 0.342083i | ||||
\(129\) | −6.40409 | −0.563848 | ||||||||
\(130\) | −1.08025 | + | 1.87106i | −0.0947446 | + | 0.164102i | ||||
\(131\) | −0.0342470 | −0.00299218 | −0.00149609 | − | 0.999999i | \(-0.500476\pi\) | ||||
−0.00149609 | + | 0.999999i | \(0.500476\pi\) | |||||||
\(132\) | −1.42153 | − | 2.46216i | −0.123728 | − | 0.214304i | ||||
\(133\) | −27.1026 | −2.35010 | ||||||||
\(134\) | −2.74840 | + | 16.6950i | −0.237425 | + | 1.44223i | ||||
\(135\) | 3.33986 | 0.287449 | ||||||||
\(136\) | −1.00658 | − | 1.74344i | −0.0863133 | − | 0.149499i | ||||
\(137\) | 2.47987 | 0.211870 | 0.105935 | − | 0.994373i | \(-0.466216\pi\) | ||||
0.105935 | + | 0.994373i | \(0.466216\pi\) | |||||||
\(138\) | −5.30632 | + | 9.19082i | −0.451704 | + | 0.782374i | ||||
\(139\) | 16.5170 | 1.40095 | 0.700477 | − | 0.713675i | \(-0.252971\pi\) | ||||
0.700477 | + | 0.713675i | \(0.252971\pi\) | |||||||
\(140\) | 17.4238 | + | 30.1788i | 1.47258 | + | 2.55058i | ||||
\(141\) | 5.68017 | − | 9.83835i | 0.478357 | − | 0.828539i | ||||
\(142\) | 22.1737 | 1.86078 | ||||||||
\(143\) | −0.391472 | −0.0327366 | ||||||||
\(144\) | 1.69001 | + | 2.92718i | 0.140834 | + | 0.243932i | ||||
\(145\) | −15.8102 | + | 27.3840i | −1.31296 | + | 2.27412i | ||||
\(146\) | 6.96499 | − | 12.0637i | 0.576427 | − | 0.998401i | ||||
\(147\) | 7.03759 | + | 12.1895i | 0.580451 | + | 1.00537i | ||||
\(148\) | −11.8780 | −0.976369 | ||||||||
\(149\) | −10.5844 | −0.867104 | −0.433552 | − | 0.901128i | \(-0.642740\pi\) | ||||
−0.433552 | + | 0.901128i | \(0.642740\pi\) | |||||||
\(150\) | −6.36104 | − | 11.0176i | −0.519376 | − | 0.899586i | ||||
\(151\) | 4.35010 | + | 7.53460i | 0.354006 | + | 0.613157i | 0.986947 | − | 0.161043i | \(-0.0514858\pi\) |
−0.632941 | + | 0.774200i | \(0.718152\pi\) | |||||||
\(152\) | −1.66445 | − | 2.88291i | −0.135005 | − | 0.233835i | ||||
\(153\) | 1.78514 | + | 3.09195i | 0.144320 | + | 0.249969i | ||||
\(154\) | −5.93526 | + | 10.2802i | −0.478276 | + | 0.828399i | ||||
\(155\) | 5.42880 | − | 9.40295i | 0.436051 | − | 0.755263i | ||||
\(156\) | −0.711265 | −0.0569468 | ||||||||
\(157\) | −6.01189 | − | 10.4129i | −0.479801 | − | 0.831040i | 0.519930 | − | 0.854209i | \(-0.325958\pi\) |
−0.999732 | + | 0.0231686i | \(0.992625\pi\) | |||||||
\(158\) | −9.19246 | −0.731313 | ||||||||
\(159\) | 6.86493 | 0.544424 | ||||||||
\(160\) | 13.5506 | − | 23.4703i | 1.07127 | − | 1.85549i | ||||
\(161\) | 23.5697 | 1.85755 | ||||||||
\(162\) | 1.03354 | + | 1.79014i | 0.0812022 | + | 0.140646i | ||||
\(163\) | −10.9992 | + | 19.0512i | −0.861527 | + | 1.49221i | 0.00892830 | + | 0.999960i | \(0.497158\pi\) |
−0.870455 | + | 0.492248i | \(0.836175\pi\) | |||||||
\(164\) | −3.72240 | − | 6.44738i | −0.290670 | − | 0.503456i | ||||
\(165\) | 2.08894 | − | 3.61815i | 0.162624 | − | 0.281673i | ||||
\(166\) | −11.6206 | + | 20.1275i | −0.901936 | + | 1.56220i | ||||
\(167\) | 3.28193 | − | 5.68447i | 0.253964 | − | 0.439878i | −0.710650 | − | 0.703546i | \(-0.751599\pi\) |
0.964613 | + | 0.263668i | \(0.0849323\pi\) | |||||||
\(168\) | −1.29429 | + | 2.24177i | −0.0998564 | + | 0.172956i | ||||
\(169\) | 6.45103 | − | 11.1735i | 0.496233 | − | 0.859501i | ||||
\(170\) | 12.3241 | − | 21.3460i | 0.945215 | − | 1.63716i | ||||
\(171\) | 2.95186 | + | 5.11277i | 0.225734 | + | 0.390983i | ||||
\(172\) | −7.27755 | + | 12.6051i | −0.554908 | + | 0.961129i | ||||
\(173\) | 0.292545 | + | 0.506702i | 0.0222418 | + | 0.0385239i | 0.876932 | − | 0.480614i | \(-0.159586\pi\) |
−0.854690 | + | 0.519138i | \(0.826253\pi\) | |||||||
\(174\) | −19.5702 | −1.48361 | ||||||||
\(175\) | −14.1273 | + | 24.4691i | −1.06792 | + | 1.84969i | ||||
\(176\) | 4.22812 | 0.318707 | ||||||||
\(177\) | −3.85632 | −0.289859 | ||||||||
\(178\) | −1.08025 | − | 1.87106i | −0.0809685 | − | 0.140242i | ||||
\(179\) | −20.1173 | −1.50364 | −0.751818 | − | 0.659371i | \(-0.770823\pi\) | ||||
−0.751818 | + | 0.659371i | \(0.770823\pi\) | |||||||
\(180\) | 3.79539 | − | 6.57380i | 0.282891 | − | 0.489982i | ||||
\(181\) | 2.64091 | − | 4.57420i | 0.196298 | − | 0.339997i | −0.751028 | − | 0.660271i | \(-0.770441\pi\) |
0.947325 | + | 0.320274i | \(0.103775\pi\) | |||||||
\(182\) | 1.48486 | + | 2.57185i | 0.110065 | + | 0.190638i | ||||
\(183\) | 2.79859 | + | 4.84730i | 0.206878 | + | 0.358323i | ||||
\(184\) | 1.44748 | + | 2.50711i | 0.106710 | + | 0.184827i | ||||
\(185\) | −8.72739 | − | 15.1163i | −0.641650 | − | 1.11137i | ||||
\(186\) | 6.71988 | 0.492725 | ||||||||
\(187\) | 4.46612 | 0.326595 | ||||||||
\(188\) | −12.9098 | − | 22.3605i | −0.941545 | − | 1.63080i | ||||
\(189\) | 2.29539 | − | 3.97573i | 0.166965 | − | 0.289191i | ||||
\(190\) | 20.3788 | − | 35.2971i | 1.47843 | − | 2.56072i | ||||
\(191\) | 6.95406 | + | 12.0448i | 0.503178 | + | 0.871530i | 0.999993 | + | 0.00367350i | \(0.00116931\pi\) |
−0.496815 | + | 0.867856i | \(0.665497\pi\) | |||||||
\(192\) | 10.0132 | 0.722637 | ||||||||
\(193\) | 12.8655 | 0.926077 | 0.463038 | − | 0.886338i | \(-0.346759\pi\) | ||||
0.463038 | + | 0.886338i | \(0.346759\pi\) | |||||||
\(194\) | 6.85700 | − | 11.8767i | 0.492304 | − | 0.852696i | ||||
\(195\) | −0.522602 | − | 0.905173i | −0.0374243 | − | 0.0648208i | ||||
\(196\) | 31.9899 | 2.28499 | ||||||||
\(197\) | 3.66078 | − | 6.34066i | 0.260820 | − | 0.451753i | −0.705640 | − | 0.708570i | \(-0.749341\pi\) |
0.966460 | + | 0.256817i | \(0.0826738\pi\) | |||||||
\(198\) | 2.58573 | 0.183760 | ||||||||
\(199\) | 7.86931 | + | 13.6300i | 0.557841 | + | 0.966208i | 0.997676 | + | 0.0681301i | \(0.0217033\pi\) |
−0.439836 | + | 0.898078i | \(0.644963\pi\) | |||||||
\(200\) | −3.47038 | −0.245393 | ||||||||
\(201\) | −6.32977 | − | 5.18980i | −0.446468 | − | 0.366060i | ||||
\(202\) | 30.8342 | 2.16949 | ||||||||
\(203\) | 21.7318 | + | 37.6405i | 1.52527 | + | 2.64185i | ||||
\(204\) | 8.11447 | 0.568127 | ||||||||
\(205\) | 5.47006 | − | 9.47442i | 0.382045 | − | 0.661722i | ||||
\(206\) | 35.2317 | 2.45471 | ||||||||
\(207\) | −2.56707 | − | 4.44630i | −0.178424 | − | 0.309039i | ||||
\(208\) | 0.528886 | − | 0.916058i | 0.0366717 | − | 0.0635172i | ||||
\(209\) | 7.38506 | 0.510835 | ||||||||
\(210\) | −31.6934 | −2.18705 | ||||||||
\(211\) | −11.1884 | − | 19.3789i | −0.770241 | − | 1.33410i | −0.937431 | − | 0.348172i | \(-0.886803\pi\) |
0.167190 | − | 0.985925i | \(-0.446531\pi\) | |||||||
\(212\) | 7.80125 | − | 13.5122i | 0.535792 | − | 0.928019i | ||||
\(213\) | −5.36356 | + | 9.28995i | −0.367505 | + | 0.636537i | ||||
\(214\) | 12.0398 | + | 20.8535i | 0.823023 | + | 1.42552i | ||||
\(215\) | −21.3887 | −1.45870 | ||||||||
\(216\) | 0.563865 | 0.0383661 | ||||||||
\(217\) | −7.46211 | − | 12.9247i | −0.506561 | − | 0.877389i | ||||
\(218\) | 4.11959 | + | 7.13534i | 0.279014 | + | 0.483266i | ||||
\(219\) | 3.36950 | + | 5.83614i | 0.227690 | + | 0.394370i | ||||
\(220\) | −4.74771 | − | 8.22327i | −0.320090 | − | 0.554413i | ||||
\(221\) | 0.558657 | − | 0.967622i | 0.0375793 | − | 0.0650893i | ||||
\(222\) | 5.40147 | − | 9.35562i | 0.362523 | − | 0.627908i | ||||
\(223\) | 0.871719 | 0.0583746 | 0.0291873 | − | 0.999574i | \(-0.490708\pi\) | ||||
0.0291873 | + | 0.999574i | \(0.490708\pi\) | |||||||
\(224\) | −18.6258 | − | 32.2609i | −1.24449 | − | 2.15552i | ||||
\(225\) | 6.15464 | 0.410309 | ||||||||
\(226\) | −23.5742 | −1.56813 | ||||||||
\(227\) | 4.03806 | − | 6.99412i | 0.268015 | − | 0.464216i | −0.700334 | − | 0.713815i | \(-0.746966\pi\) |
0.968349 | + | 0.249599i | \(0.0802989\pi\) | |||||||
\(228\) | 13.4179 | 0.888621 | ||||||||
\(229\) | 4.17477 | + | 7.23091i | 0.275877 | + | 0.477832i | 0.970356 | − | 0.241680i | \(-0.0776986\pi\) |
−0.694479 | + | 0.719513i | \(0.744365\pi\) | |||||||
\(230\) | −17.7223 | + | 30.6960i | −1.16858 | + | 2.02403i | ||||
\(231\) | −2.87134 | − | 4.97330i | −0.188920 | − | 0.327219i | ||||
\(232\) | −2.66922 | + | 4.62322i | −0.175243 | + | 0.303529i | ||||
\(233\) | −8.39274 | + | 14.5367i | −0.549827 | + | 0.952328i | 0.448459 | + | 0.893803i | \(0.351973\pi\) |
−0.998286 | + | 0.0585245i | \(0.981360\pi\) | |||||||
\(234\) | 0.323444 | − | 0.560221i | 0.0211442 | − | 0.0366228i | ||||
\(235\) | 18.9710 | − | 32.8587i | 1.23753 | − | 2.14346i | ||||
\(236\) | −4.38229 | + | 7.59035i | −0.285263 | + | 0.494090i | ||||
\(237\) | 2.22355 | − | 3.85129i | 0.144435 | − | 0.250168i | ||||
\(238\) | −16.9400 | − | 29.3409i | −1.09806 | − | 1.90189i | ||||
\(239\) | −3.81459 | + | 6.60707i | −0.246746 | + | 0.427376i | −0.962621 | − | 0.270852i | \(-0.912695\pi\) |
0.715875 | + | 0.698228i | \(0.246028\pi\) | |||||||
\(240\) | 5.64439 | + | 9.77637i | 0.364344 | + | 0.631062i | ||||
\(241\) | −22.7915 | −1.46813 | −0.734064 | − | 0.679080i | \(-0.762379\pi\) | ||||
−0.734064 | + | 0.679080i | \(0.762379\pi\) | |||||||
\(242\) | −9.75163 | + | 16.8903i | −0.626858 | + | 1.08575i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 12.7212 | 0.814391 | ||||||||
\(245\) | 23.5045 | + | 40.7111i | 1.50165 | + | 2.60093i | ||||
\(246\) | 6.77095 | 0.431700 | ||||||||
\(247\) | 0.923781 | − | 1.60003i | 0.0587787 | − | 0.101808i | ||||
\(248\) | 0.916538 | − | 1.58749i | 0.0582002 | − | 0.100806i | ||||
\(249\) | −5.62179 | − | 9.73722i | −0.356266 | − | 0.617071i | ||||
\(250\) | −3.98564 | − | 6.90334i | −0.252074 | − | 0.436605i | ||||
\(251\) | 7.13708 | + | 12.3618i | 0.450488 | + | 0.780269i | 0.998416 | − | 0.0562567i | \(-0.0179165\pi\) |
−0.547928 | + | 0.836526i | \(0.684583\pi\) | |||||||
\(252\) | −5.21692 | − | 9.03597i | −0.328635 | − | 0.569212i | ||||
\(253\) | −6.42238 | −0.403772 | ||||||||
\(254\) | −16.4223 | −1.03043 | ||||||||
\(255\) | 5.96211 | + | 10.3267i | 0.373362 | + | 0.646681i | ||||
\(256\) | −5.39432 | + | 9.34324i | −0.337145 | + | 0.583953i | ||||
\(257\) | 0.889005 | − | 1.53980i | 0.0554546 | − | 0.0960502i | −0.836965 | − | 0.547256i | \(-0.815673\pi\) |
0.892420 | + | 0.451206i | \(0.149006\pi\) | |||||||
\(258\) | −6.61885 | − | 11.4642i | −0.412072 | − | 0.713729i | ||||
\(259\) | −23.9923 | −1.49081 | ||||||||
\(260\) | −2.37552 | −0.147324 | ||||||||
\(261\) | 4.73379 | − | 8.19917i | 0.293014 | − | 0.507516i | ||||
\(262\) | −0.0353955 | − | 0.0613068i | −0.00218674 | − | 0.00378755i | ||||
\(263\) | 8.97731 | 0.553565 | 0.276782 | − | 0.960933i | \(-0.410732\pi\) | ||||
0.276782 | + | 0.960933i | \(0.410732\pi\) | |||||||
\(264\) | 0.352674 | − | 0.610849i | 0.0217056 | − | 0.0375951i | ||||
\(265\) | 22.9279 | 1.40845 | ||||||||
\(266\) | −28.0115 | − | 48.5174i | −1.71750 | − | 2.97479i | ||||
\(267\) | 1.04520 | 0.0639654 | ||||||||
\(268\) | −17.4081 | + | 6.56118i | −1.06337 | + | 0.400788i | ||||
\(269\) | 4.39349 | 0.267876 | 0.133938 | − | 0.990990i | \(-0.457238\pi\) | ||||
0.133938 | + | 0.990990i | \(0.457238\pi\) | |||||||
\(270\) | 3.45186 | + | 5.97880i | 0.210074 | + | 0.363858i | ||||
\(271\) | −17.2470 | −1.04768 | −0.523842 | − | 0.851816i | \(-0.675502\pi\) | ||||
−0.523842 | + | 0.851816i | \(0.675502\pi\) | |||||||
\(272\) | −6.03381 | + | 10.4509i | −0.365853 | + | 0.633676i | ||||
\(273\) | −1.43668 | −0.0869516 | ||||||||
\(274\) | 2.56304 | + | 4.43931i | 0.154839 | + | 0.268188i | ||||
\(275\) | 3.84947 | − | 6.66747i | 0.232132 | − | 0.402064i | ||||
\(276\) | −11.6688 | −0.702379 | ||||||||
\(277\) | 7.41504 | 0.445527 | 0.222763 | − | 0.974873i | \(-0.428492\pi\) | ||||
0.222763 | + | 0.974873i | \(0.428492\pi\) | |||||||
\(278\) | 17.0709 | + | 29.5677i | 1.02385 | + | 1.77335i | ||||
\(279\) | −1.62546 | + | 2.81538i | −0.0973136 | + | 0.168552i | ||||
\(280\) | −4.32273 | + | 7.48719i | −0.258333 | + | 0.447445i | ||||
\(281\) | −12.0360 | − | 20.8470i | −0.718009 | − | 1.24363i | −0.961787 | − | 0.273798i | \(-0.911720\pi\) |
0.243778 | − | 0.969831i | \(-0.421613\pi\) | |||||||
\(282\) | 23.4827 | 1.39837 | ||||||||
\(283\) | 12.8991 | 0.766773 | 0.383387 | − | 0.923588i | \(-0.374758\pi\) | ||||
0.383387 | + | 0.923588i | \(0.374758\pi\) | |||||||
\(284\) | 12.1902 | + | 21.1141i | 0.723356 | + | 1.25289i | ||||
\(285\) | 9.85879 | + | 17.0759i | 0.583984 | + | 1.01149i | ||||
\(286\) | −0.404601 | − | 0.700789i | −0.0239245 | − | 0.0414385i | ||||
\(287\) | −7.51882 | − | 13.0230i | −0.443822 | − | 0.768723i | ||||
\(288\) | −4.05724 | + | 7.02734i | −0.239075 | + | 0.414090i | ||||
\(289\) | 2.12656 | − | 3.68330i | 0.125092 | − | 0.216665i | ||||
\(290\) | −65.3616 | −3.83816 | ||||||||
\(291\) | 3.31725 | + | 5.74565i | 0.194461 | + | 0.336816i | ||||
\(292\) | 15.3163 | 0.896318 | ||||||||
\(293\) | 10.8318 | 0.632802 | 0.316401 | − | 0.948626i | \(-0.397526\pi\) | ||||
0.316401 | + | 0.948626i | \(0.397526\pi\) | |||||||
\(294\) | −14.5472 | + | 25.1965i | −0.848410 | + | 1.46949i | ||||
\(295\) | −12.8796 | −0.749876 | ||||||||
\(296\) | −1.47344 | − | 2.55207i | −0.0856418 | − | 0.148336i | ||||
\(297\) | −0.625458 | + | 1.08333i | −0.0362928 | + | 0.0628609i | ||||
\(298\) | −10.9393 | − | 18.9474i | −0.633697 | − | 1.09760i | ||||
\(299\) | −0.803361 | + | 1.39146i | −0.0464596 | + | 0.0804704i | ||||
\(300\) | 6.99408 | − | 12.1141i | 0.403803 | − | 0.699408i | ||||
\(301\) | −14.6998 | + | 25.4609i | −0.847285 | + | 1.46754i | ||||
\(302\) | −8.99197 | + | 15.5746i | −0.517430 | + | 0.896215i | ||||
\(303\) | −7.45844 | + | 12.9184i | −0.428476 | + | 0.742142i | ||||
\(304\) | −9.97735 | + | 17.2813i | −0.572240 | + | 0.991149i | ||||
\(305\) | 9.34690 | + | 16.1893i | 0.535202 | + | 0.926997i | ||||
\(306\) | −3.69001 | + | 6.39128i | −0.210944 | + | 0.365365i | ||||
\(307\) | −16.4711 | − | 28.5287i | −0.940053 | − | 1.62822i | −0.765365 | − | 0.643596i | \(-0.777442\pi\) |
−0.174688 | − | 0.984624i | \(-0.555892\pi\) | |||||||
\(308\) | −13.0519 | −0.743698 | ||||||||
\(309\) | −8.52214 | + | 14.7608i | −0.484808 | + | 0.839711i | ||||
\(310\) | 22.4434 | 1.27470 | ||||||||
\(311\) | −11.7860 | −0.668324 | −0.334162 | − | 0.942516i | \(-0.608453\pi\) | ||||
−0.334162 | + | 0.942516i | \(0.608453\pi\) | |||||||
\(312\) | −0.0882303 | − | 0.152819i | −0.00499506 | − | 0.00865170i | ||||
\(313\) | 30.6039 | 1.72984 | 0.864918 | − | 0.501913i | \(-0.167370\pi\) | ||||
0.864918 | + | 0.501913i | \(0.167370\pi\) | |||||||
\(314\) | 12.4270 | − | 21.5242i | 0.701297 | − | 1.21468i | ||||
\(315\) | 7.66626 | − | 13.2783i | 0.431945 | − | 0.748150i | ||||
\(316\) | −5.05364 | − | 8.75316i | −0.284289 | − | 0.492404i | ||||
\(317\) | −1.48655 | − | 2.57477i | −0.0834928 | − | 0.144614i | 0.821255 | − | 0.570561i | \(-0.193274\pi\) |
−0.904748 | + | 0.425947i | \(0.859941\pi\) | |||||||
\(318\) | 7.09515 | + | 12.2892i | 0.397876 | + | 0.689142i | ||||
\(319\) | −5.92158 | − | 10.2565i | −0.331545 | − | 0.574252i | ||||
\(320\) | 33.4425 | 1.86949 | ||||||||
\(321\) | −11.6491 | −0.650191 | ||||||||
\(322\) | 24.3601 | + | 42.1929i | 1.35754 | + | 2.35132i | ||||
\(323\) | −10.5390 | + | 18.2540i | −0.586404 | + | 1.01568i | ||||
\(324\) | −1.13639 | + | 1.96829i | −0.0631329 | + | 0.109349i | ||||
\(325\) | −0.963042 | − | 1.66804i | −0.0534200 | − | 0.0925261i | ||||
\(326\) | −45.4724 | −2.51848 | ||||||||
\(327\) | −3.98592 | −0.220422 | ||||||||
\(328\) | 0.923505 | − | 1.59956i | 0.0509920 | − | 0.0883208i | ||||
\(329\) | −26.0764 | − | 45.1656i | −1.43764 | − | 2.49006i | ||||
\(330\) | 8.63598 | 0.475395 | ||||||||
\(331\) | 7.80361 | − | 13.5162i | 0.428925 | − | 0.742920i | −0.567853 | − | 0.823130i | \(-0.692226\pi\) |
0.996778 | + | 0.0802100i | \(0.0255591\pi\) | |||||||
\(332\) | −25.5542 | −1.40247 | ||||||||
\(333\) | 2.61310 | + | 4.52603i | 0.143197 | + | 0.248025i | ||||
\(334\) | 13.5680 | 0.742407 | ||||||||
\(335\) | −21.1405 | − | 17.3332i | −1.15503 | − | 0.947012i | ||||
\(336\) | 15.5169 | 0.846516 | ||||||||
\(337\) | 2.48435 | + | 4.30302i | 0.135331 | + | 0.234400i | 0.925724 | − | 0.378200i | \(-0.123457\pi\) |
−0.790393 | + | 0.612600i | \(0.790124\pi\) | |||||||
\(338\) | 26.6695 | 1.45063 | ||||||||
\(339\) | 5.70231 | − | 9.87670i | 0.309707 | − | 0.536428i | ||||
\(340\) | 27.1012 | 1.46977 | ||||||||
\(341\) | 2.03331 | + | 3.52180i | 0.110110 | + | 0.190716i | ||||
\(342\) | −6.10171 | + | 10.5685i | −0.329942 | + | 0.571477i | ||||
\(343\) | 32.4806 | 1.75379 | ||||||||
\(344\) | −3.61104 | −0.194694 | ||||||||
\(345\) | −8.57365 | − | 14.8500i | −0.461590 | − | 0.799497i | ||||
\(346\) | −0.604711 | + | 1.04739i | −0.0325094 | + | 0.0563080i | ||||
\(347\) | −4.22722 | + | 7.32175i | −0.226929 | + | 0.393052i | −0.956896 | − | 0.290430i | \(-0.906202\pi\) |
0.729968 | + | 0.683482i | \(0.239535\pi\) | |||||||
\(348\) | −10.7589 | − | 18.6349i | −0.576737 | − | 0.998938i | ||||
\(349\) | 9.90224 | 0.530055 | 0.265027 | − | 0.964241i | \(-0.414619\pi\) | ||||
0.265027 | + | 0.964241i | \(0.414619\pi\) | |||||||
\(350\) | −58.4041 | −3.12183 | ||||||||
\(351\) | 0.156474 | + | 0.271021i | 0.00835198 | + | 0.0144661i | ||||
\(352\) | 5.07526 | + | 8.79061i | 0.270512 | + | 0.468541i | ||||
\(353\) | −7.76437 | − | 13.4483i | −0.413256 | − | 0.715780i | 0.581988 | − | 0.813197i | \(-0.302275\pi\) |
−0.995244 | + | 0.0974176i | \(0.968942\pi\) | |||||||
\(354\) | −3.98564 | − | 6.90334i | −0.211835 | − | 0.366908i | ||||
\(355\) | −17.9135 | + | 31.0271i | −0.950750 | + | 1.64675i | ||||
\(356\) | 1.18776 | − | 2.05726i | 0.0629512 | − | 0.109035i | ||||
\(357\) | 16.3903 | 0.867468 | ||||||||
\(358\) | −20.7919 | − | 36.0126i | −1.09889 | − | 1.90333i | ||||
\(359\) | −11.6509 | −0.614913 | −0.307456 | − | 0.951562i | \(-0.599478\pi\) | ||||
−0.307456 | + | 0.951562i | \(0.599478\pi\) | |||||||
\(360\) | 1.88323 | 0.0992548 | ||||||||
\(361\) | −7.92696 | + | 13.7299i | −0.417208 | + | 0.722626i | ||||
\(362\) | 10.9179 | 0.573833 | ||||||||
\(363\) | −4.71760 | − | 8.17113i | −0.247610 | − | 0.428873i | ||||
\(364\) | −1.63263 | + | 2.82779i | −0.0855729 | + | 0.148217i | ||||
\(365\) | 11.2536 | + | 19.4919i | 0.589042 | + | 1.02025i | ||||
\(366\) | −5.78489 | + | 10.0197i | −0.302381 | + | 0.523739i | ||||
\(367\) | 1.99532 | − | 3.45600i | 0.104155 | − | 0.180402i | −0.809238 | − | 0.587481i | \(-0.800120\pi\) |
0.913393 | + | 0.407080i | \(0.133453\pi\) | |||||||
\(368\) | 8.67675 | − | 15.0286i | 0.452307 | − | 0.783419i | ||||
\(369\) | −1.63781 | + | 2.83677i | −0.0852611 | + | 0.147677i | ||||
\(370\) | 18.0401 | − | 31.2464i | 0.937862 | − | 1.62442i | ||||
\(371\) | 15.7577 | − | 27.2931i | 0.818097 | − | 1.41699i | ||||
\(372\) | 3.69432 | + | 6.39874i | 0.191541 | + | 0.331759i | ||||
\(373\) | 2.55105 | − | 4.41854i | 0.132088 | − | 0.228783i | −0.792393 | − | 0.610011i | \(-0.791165\pi\) |
0.924481 | + | 0.381227i | \(0.124498\pi\) | |||||||
\(374\) | 4.61589 | + | 7.99496i | 0.238682 | + | 0.413410i | ||||
\(375\) | 3.85632 | 0.199139 | ||||||||
\(376\) | 3.20285 | − | 5.54750i | 0.165174 | − | 0.286090i | ||||
\(377\) | −2.96287 | −0.152595 | ||||||||
\(378\) | 9.48945 | 0.488085 | ||||||||
\(379\) | −9.25045 | − | 16.0223i | −0.475164 | − | 0.823008i | 0.524432 | − | 0.851453i | \(-0.324278\pi\) |
−0.999595 | + | 0.0284447i | \(0.990945\pi\) | |||||||
\(380\) | 44.8138 | 2.29890 | ||||||||
\(381\) | 3.97235 | − | 6.88032i | 0.203510 | − | 0.352489i | ||||
\(382\) | −14.3745 | + | 24.8974i | −0.735465 | + | 1.27386i | ||||
\(383\) | −6.56560 | − | 11.3720i | −0.335486 | − | 0.581080i | 0.648092 | − | 0.761562i | \(-0.275567\pi\) |
−0.983578 | + | 0.180483i | \(0.942234\pi\) | |||||||
\(384\) | 2.23448 | + | 3.87023i | 0.114028 | + | 0.197502i | ||||
\(385\) | −9.58985 | − | 16.6101i | −0.488744 | − | 0.846529i | ||||
\(386\) | 13.2969 | + | 23.0309i | 0.676796 | + | 1.17224i | ||||
\(387\) | 6.40409 | 0.325538 | ||||||||
\(388\) | 15.0788 | 0.765510 | ||||||||
\(389\) | 3.74722 | + | 6.49038i | 0.189992 | + | 0.329075i | 0.945247 | − | 0.326355i | \(-0.105821\pi\) |
−0.755256 | + | 0.655430i | \(0.772487\pi\) | |||||||
\(390\) | 1.08025 | − | 1.87106i | 0.0547008 | − | 0.0947446i | ||||
\(391\) | 9.16516 | − | 15.8745i | 0.463502 | − | 0.802809i | ||||
\(392\) | 3.96825 | + | 6.87321i | 0.200427 | + | 0.347150i | ||||
\(393\) | 0.0342470 | 0.00172753 | ||||||||
\(394\) | 15.1342 | 0.762449 | ||||||||
\(395\) | 7.42632 | − | 12.8628i | 0.373659 | − | 0.647196i | ||||
\(396\) | 1.42153 | + | 2.46216i | 0.0714346 | + | 0.123728i | ||||
\(397\) | −18.6595 | −0.936496 | −0.468248 | − | 0.883597i | \(-0.655115\pi\) | ||||
−0.468248 | + | 0.883597i | \(0.655115\pi\) | |||||||
\(398\) | −16.2664 | + | 28.1743i | −0.815362 | + | 1.41225i | ||||
\(399\) | 27.1026 | 1.35683 | ||||||||
\(400\) | 10.4014 | + | 18.0157i | 0.520070 | + | 0.900787i | ||||
\(401\) | 10.0722 | 0.502984 | 0.251492 | − | 0.967859i | \(-0.419079\pi\) | ||||
0.251492 | + | 0.967859i | \(0.419079\pi\) | |||||||
\(402\) | 2.74840 | − | 16.6950i | 0.137078 | − | 0.832671i | ||||
\(403\) | 1.01737 | 0.0506788 | ||||||||
\(404\) | 16.9514 | + | 29.3607i | 0.843365 | + | 1.46075i | ||||
\(405\) | −3.33986 | −0.165959 | ||||||||
\(406\) | −44.9211 | + | 77.8056i | −2.22940 | + | 3.86143i | ||||
\(407\) | 6.53755 | 0.324054 | ||||||||
\(408\) | 1.00658 | + | 1.74344i | 0.0498330 | + | 0.0863133i | ||||
\(409\) | 18.2488 | − | 31.6078i | 0.902344 | − | 1.56291i | 0.0779007 | − | 0.996961i | \(-0.475178\pi\) |
0.824443 | − | 0.565945i | \(-0.191488\pi\) | |||||||
\(410\) | 22.6140 | 1.11683 | ||||||||
\(411\) | −2.47987 | −0.122323 | ||||||||
\(412\) | 19.3690 | + | 33.5481i | 0.954241 | + | 1.65279i | ||||
\(413\) | −8.85174 | + | 15.3317i | −0.435566 | + | 0.754422i | ||||
\(414\) | 5.30632 | − | 9.19082i | 0.260791 | − | 0.451704i | ||||
\(415\) | −18.7760 | − | 32.5209i | −0.921676 | − | 1.59639i | ||||
\(416\) | 2.53941 | 0.124505 | ||||||||
\(417\) | −16.5170 | −0.808841 | ||||||||
\(418\) | 7.63272 | + | 13.2203i | 0.373329 | + | 0.646624i | ||||
\(419\) | −8.03568 | − | 13.9182i | −0.392569 | − | 0.679949i | 0.600219 | − | 0.799836i | \(-0.295080\pi\) |
−0.992788 | + | 0.119887i | \(0.961747\pi\) | |||||||
\(420\) | −17.4238 | − | 30.1788i | −0.850192 | − | 1.47258i | ||||
\(421\) | 2.18311 | + | 3.78126i | 0.106398 | + | 0.184287i | 0.914309 | − | 0.405018i | \(-0.132735\pi\) |
−0.807910 | + | 0.589305i | \(0.799401\pi\) | |||||||
\(422\) | 23.1272 | − | 40.0575i | 1.12582 | − | 1.94997i | ||||
\(423\) | −5.68017 | + | 9.83835i | −0.276180 | + | 0.478357i | ||||
\(424\) | 3.87089 | 0.187987 | ||||||||
\(425\) | 10.9869 | + | 19.0298i | 0.532942 | + | 0.923083i | ||||
\(426\) | −22.1737 | −1.07432 | ||||||||
\(427\) | 25.6954 | 1.24349 | ||||||||
\(428\) | −13.2380 | + | 22.9289i | −0.639882 | + | 1.10831i | ||||
\(429\) | 0.391472 | 0.0189005 | ||||||||
\(430\) | −22.1060 | − | 38.2887i | −1.06605 | − | 1.84645i | ||||
\(431\) | 8.04812 | − | 13.9397i | 0.387664 | − | 0.671454i | −0.604471 | − | 0.796627i | \(-0.706615\pi\) |
0.992135 | + | 0.125173i | \(0.0399487\pi\) | |||||||
\(432\) | −1.69001 | − | 2.92718i | −0.0813106 | − | 0.140834i | ||||
\(433\) | −11.4028 | + | 19.7502i | −0.547983 | + | 0.949135i | 0.450429 | + | 0.892812i | \(0.351271\pi\) |
−0.998413 | + | 0.0563228i | \(0.982062\pi\) | |||||||
\(434\) | 15.4247 | − | 26.7164i | 0.740410 | − | 1.28243i | ||||
\(435\) | 15.8102 | − | 27.3840i | 0.758040 | − | 1.31296i | ||||
\(436\) | −4.52957 | + | 7.84544i | −0.216927 | + | 0.375729i | ||||
\(437\) | 15.1553 | − | 26.2497i | 0.724975 | − | 1.25569i | ||||
\(438\) | −6.96499 | + | 12.0637i | −0.332800 | + | 0.576427i | ||||
\(439\) | −8.86564 | − | 15.3557i | −0.423134 | − | 0.732889i | 0.573110 | − | 0.819478i | \(-0.305737\pi\) |
−0.996244 | + | 0.0865889i | \(0.972403\pi\) | |||||||
\(440\) | 1.17788 | − | 2.04015i | 0.0561532 | − | 0.0972602i | ||||
\(441\) | −7.03759 | − | 12.1895i | −0.335123 | − | 0.580451i | ||||
\(442\) | 2.30957 | 0.109855 | ||||||||
\(443\) | 8.25692 | − | 14.3014i | 0.392298 | − | 0.679481i | −0.600454 | − | 0.799659i | \(-0.705013\pi\) |
0.992752 | + | 0.120179i | \(0.0383468\pi\) | |||||||
\(444\) | 11.8780 | 0.563707 | ||||||||
\(445\) | 3.49083 | 0.165481 | ||||||||
\(446\) | 0.900953 | + | 1.56050i | 0.0426614 | + | 0.0738916i | ||||
\(447\) | 10.5844 | 0.500623 | ||||||||
\(448\) | 22.9841 | − | 39.8095i | 1.08589 | − | 1.88082i | ||||
\(449\) | −18.7860 | + | 32.5383i | −0.886567 | + | 1.53558i | −0.0426593 | + | 0.999090i | \(0.513583\pi\) |
−0.843907 | + | 0.536489i | \(0.819750\pi\) | |||||||
\(450\) | 6.36104 | + | 11.0176i | 0.299862 | + | 0.519376i | ||||
\(451\) | 2.04877 | + | 3.54857i | 0.0964726 | + | 0.167096i | ||||
\(452\) | −12.9601 | − | 22.4476i | −0.609593 | − | 1.05585i | ||||
\(453\) | −4.35010 | − | 7.53460i | −0.204386 | − | 0.354006i | ||||
\(454\) | 16.6939 | 0.783484 | ||||||||
\(455\) | −4.79829 | −0.224947 | ||||||||
\(456\) | 1.66445 | + | 2.88291i | 0.0779450 | + | 0.135005i | ||||
\(457\) | 8.61730 | − | 14.9256i | 0.403100 | − | 0.698190i | −0.590998 | − | 0.806673i | \(-0.701266\pi\) |
0.994098 | + | 0.108483i | \(0.0345993\pi\) | |||||||
\(458\) | −8.62955 | + | 14.9468i | −0.403232 | + | 0.698419i | ||||
\(459\) | −1.78514 | − | 3.09195i | −0.0833232 | − | 0.144320i | ||||
\(460\) | −38.9721 | −1.81708 | ||||||||
\(461\) | −7.91067 | −0.368437 | −0.184218 | − | 0.982885i | \(-0.558975\pi\) | ||||
−0.184218 | + | 0.982885i | \(0.558975\pi\) | |||||||
\(462\) | 5.93526 | − | 10.2802i | 0.276133 | − | 0.478276i | ||||
\(463\) | −4.72144 | − | 8.17777i | −0.219424 | − | 0.380053i | 0.735208 | − | 0.677841i | \(-0.237084\pi\) |
−0.954632 | + | 0.297788i | \(0.903751\pi\) | |||||||
\(464\) | 32.0006 | 1.48559 | ||||||||
\(465\) | −5.42880 | + | 9.40295i | −0.251754 | + | 0.436051i | ||||
\(466\) | −34.6968 | −1.60730 | ||||||||
\(467\) | 7.90271 | + | 13.6879i | 0.365694 | + | 0.633400i | 0.988887 | − | 0.148667i | \(-0.0474984\pi\) |
−0.623193 | + | 0.782068i | \(0.714165\pi\) | |||||||
\(468\) | 0.711265 | 0.0328782 | ||||||||
\(469\) | −35.1625 | + | 13.2529i | −1.62365 | + | 0.611960i | ||||
\(470\) | 78.4287 | 3.61765 | ||||||||
\(471\) | 6.01189 | + | 10.4129i | 0.277013 | + | 0.479801i | ||||
\(472\) | −2.17444 | −0.100087 | ||||||||
\(473\) | 4.00549 | − | 6.93771i | 0.184172 | − | 0.318996i | ||||
\(474\) | 9.19246 | 0.422223 | ||||||||
\(475\) | 18.1676 | + | 31.4673i | 0.833588 | + | 1.44382i | ||||
\(476\) | 18.6258 | − | 32.2609i | 0.853714 | − | 1.47868i | ||||
\(477\) | −6.86493 | −0.314324 | ||||||||
\(478\) | −15.7701 | −0.721306 | ||||||||
\(479\) | 0.164913 | + | 0.285638i | 0.00753507 | + | 0.0130511i | 0.869768 | − | 0.493460i | \(-0.164268\pi\) |
−0.862233 | + | 0.506511i | \(0.830935\pi\) | |||||||
\(480\) | −13.5506 | + | 23.4703i | −0.618497 | + | 1.07127i | ||||
\(481\) | 0.817767 | − | 1.41641i | 0.0372870 | − | 0.0645829i | ||||
\(482\) | −23.5558 | − | 40.7999i | −1.07294 | − | 1.85838i | ||||
\(483\) | −23.5697 | −1.07246 | ||||||||
\(484\) | −21.4442 | −0.974736 | ||||||||
\(485\) | 11.0792 | + | 19.1897i | 0.503078 | + | 0.871357i | ||||
\(486\) | −1.03354 | − | 1.79014i | −0.0468821 | − | 0.0812022i | ||||
\(487\) | 5.64503 | + | 9.77747i | 0.255801 | + | 0.443059i | 0.965113 | − | 0.261835i | \(-0.0843276\pi\) |
−0.709312 | + | 0.704895i | \(0.750994\pi\) | |||||||
\(488\) | 1.57803 | + | 2.73322i | 0.0714340 | + | 0.123727i | ||||
\(489\) | 10.9992 | − | 19.0512i | 0.497403 | − | 0.861527i | ||||
\(490\) | −48.5856 | + | 84.1527i | −2.19487 | + | 3.80163i | ||||
\(491\) | −12.0275 | −0.542792 | −0.271396 | − | 0.962468i | \(-0.587485\pi\) | ||||
−0.271396 | + | 0.962468i | \(0.587485\pi\) | |||||||
\(492\) | 3.72240 | + | 6.44738i | 0.167819 | + | 0.290670i | ||||
\(493\) | 33.8019 | 1.52236 | ||||||||
\(494\) | 3.81904 | 0.171827 | ||||||||
\(495\) | −2.08894 | + | 3.61815i | −0.0938909 | + | 0.162624i | ||||
\(496\) | −10.9882 | −0.493383 | ||||||||
\(497\) | 24.6229 | + | 42.6480i | 1.10449 | + | 1.91303i | ||||
\(498\) | 11.6206 | − | 20.1275i | 0.520733 | − | 0.901936i | ||||
\(499\) | 11.9785 | + | 20.7473i | 0.536230 | + | 0.928777i | 0.999103 | + | 0.0423527i | \(0.0134853\pi\) |
−0.462873 | + | 0.886425i | \(0.653181\pi\) | |||||||
\(500\) | 4.38229 | − | 7.59035i | 0.195982 | − | 0.339451i | ||||
\(501\) | −3.28193 | + | 5.68447i | −0.146626 | + | 0.253964i | ||||
\(502\) | −14.7529 | + | 25.5527i | −0.658452 | + | 1.14047i | ||||
\(503\) | −19.2961 | + | 33.4218i | −0.860370 | + | 1.49020i | 0.0112021 | + | 0.999937i | \(0.496434\pi\) |
−0.871572 | + | 0.490267i | \(0.836899\pi\) | |||||||
\(504\) | 1.29429 | − | 2.24177i | 0.0576521 | − | 0.0998564i | ||||
\(505\) | −24.9101 | + | 43.1456i | −1.10849 | + | 1.91995i | ||||
\(506\) | −6.63776 | − | 11.4969i | −0.295084 | − | 0.511101i | ||||
\(507\) | −6.45103 | + | 11.1735i | −0.286500 | + | 0.496233i | ||||
\(508\) | −9.02830 | − | 15.6375i | −0.400566 | − | 0.693801i | ||||
\(509\) | 15.0496 | 0.667060 | 0.333530 | − | 0.942740i | \(-0.391760\pi\) | ||||
0.333530 | + | 0.942740i | \(0.391760\pi\) | |||||||
\(510\) | −12.3241 | + | 21.3460i | −0.545720 | + | 0.945215i | ||||
\(511\) | 30.9372 | 1.36858 | ||||||||
\(512\) | −31.2388 | −1.38057 | ||||||||
\(513\) | −2.95186 | − | 5.11277i | −0.130328 | − | 0.225734i | ||||
\(514\) | 3.67527 | 0.162109 | ||||||||
\(515\) | −28.4627 | + | 49.2989i | −1.25422 | + | 2.17237i | ||||
\(516\) | 7.27755 | − | 12.6051i | 0.320376 | − | 0.554908i | ||||
\(517\) | 7.10542 | + | 12.3070i | 0.312496 | + | 0.541259i | ||||
\(518\) | −24.7969 | − | 42.9495i | −1.08951 | − | 1.88709i | ||||
\(519\) | −0.292545 | − | 0.506702i | −0.0128413 | − | 0.0222418i | ||||
\(520\) | −0.294677 | − | 0.510395i | −0.0129224 | − | 0.0223823i | ||||
\(521\) | 17.1192 | 0.750008 | 0.375004 | − | 0.927023i | \(-0.377641\pi\) | ||||
0.375004 | + | 0.927023i | \(0.377641\pi\) | |||||||
\(522\) | 19.5702 | 0.856563 | ||||||||
\(523\) | −6.81799 | − | 11.8091i | −0.298130 | − | 0.516376i | 0.677578 | − | 0.735451i | \(-0.263029\pi\) |
−0.975708 | + | 0.219075i | \(0.929696\pi\) | |||||||
\(524\) | 0.0389180 | − | 0.0674080i | 0.00170014 | − | 0.00294473i | ||||
\(525\) | 14.1273 | − | 24.4691i | 0.616564 | − | 1.06792i | ||||
\(526\) | 9.27837 | + | 16.0706i | 0.404556 | + | 0.700712i | ||||
\(527\) | −11.6067 | −0.505595 | ||||||||
\(528\) | −4.22812 | −0.184005 | ||||||||
\(529\) | −1.67971 | + | 2.90935i | −0.0730309 | + | 0.126493i | ||||
\(530\) | 23.6968 | + | 41.0440i | 1.02932 | + | 1.78284i | ||||
\(531\) | 3.85632 | 0.167350 | ||||||||
\(532\) | 30.7992 | − | 53.3458i | 1.33532 | − | 2.31283i | ||||
\(533\) | 1.02510 | 0.0444021 | ||||||||
\(534\) | 1.08025 | + | 1.87106i | 0.0467472 | + | 0.0809685i | ||||
\(535\) | −38.9064 | −1.68207 | ||||||||
\(536\) | −3.56914 | − | 2.92634i | −0.154163 | − | 0.126399i | ||||
\(537\) | 20.1173 | 0.868124 | ||||||||
\(538\) | 4.54083 | + | 7.86495i | 0.195769 | + | 0.339082i | ||||
\(539\) | −17.6069 | −0.758382 | ||||||||
\(540\) | −3.79539 | + | 6.57380i | −0.163327 | + | 0.282891i | ||||
\(541\) | 19.9674 | 0.858467 | 0.429234 | − | 0.903194i | \(-0.358784\pi\) | ||||
0.429234 | + | 0.903194i | \(0.358784\pi\) | |||||||
\(542\) | −17.8254 | − | 30.8746i | −0.765668 | − | 1.32618i | ||||
\(543\) | −2.64091 | + | 4.57420i | −0.113332 | + | 0.196298i | ||||
\(544\) | −28.9709 | −1.24212 | ||||||||
\(545\) | −13.3124 | −0.570240 | ||||||||
\(546\) | −1.48486 | − | 2.57185i | −0.0635460 | − | 0.110065i | ||||
\(547\) | 1.76830 | − | 3.06278i | 0.0756070 | − | 0.130955i | −0.825743 | − | 0.564046i | \(-0.809244\pi\) |
0.901350 | + | 0.433091i | \(0.142577\pi\) | |||||||
\(548\) | −2.81811 | + | 4.88110i | −0.120384 | + | 0.208510i | ||||
\(549\) | −2.79859 | − | 4.84730i | −0.119441 | − | 0.206878i | ||||
\(550\) | 15.9142 | 0.678586 | ||||||||
\(551\) | 55.8940 | 2.38116 | ||||||||
\(552\) | −1.44748 | − | 2.50711i | −0.0616089 | − | 0.106710i | ||||
\(553\) | −10.2078 | − | 17.6804i | −0.434079 | − | 0.751848i | ||||
\(554\) | 7.66371 | + | 13.2739i | 0.325600 | + | 0.563956i | ||||
\(555\) | 8.72739 | + | 15.1163i | 0.370457 | + | 0.641650i | ||||
\(556\) | −18.7698 | + | 32.5102i | −0.796017 | + | 1.37874i | ||||
\(557\) | 5.64762 | − | 9.78197i | 0.239297 | − | 0.414475i | −0.721216 | − | 0.692711i | \(-0.756416\pi\) |
0.960513 | + | 0.278236i | \(0.0897496\pi\) | |||||||
\(558\) | −6.71988 | −0.284475 | ||||||||
\(559\) | −1.00207 | − | 1.73564i | −0.0423833 | − | 0.0734099i | ||||
\(560\) | 51.8242 | 2.18997 | ||||||||
\(561\) | −4.46612 | −0.188560 | ||||||||
\(562\) | 24.8793 | − | 43.0923i | 1.04947 | − | 1.81774i | ||||
\(563\) | −17.7756 | −0.749152 | −0.374576 | − | 0.927196i | \(-0.622212\pi\) | ||||
−0.374576 | + | 0.927196i | \(0.622212\pi\) | |||||||
\(564\) | 12.9098 | + | 22.3605i | 0.543601 | + | 0.941545i | ||||
\(565\) | 19.0449 | − | 32.9867i | 0.801225 | − | 1.38776i | ||||
\(566\) | 13.3317 | + | 23.0912i | 0.560373 | + | 0.970595i | ||||
\(567\) | −2.29539 | + | 3.97573i | −0.0963971 | + | 0.166965i | ||||
\(568\) | −3.02432 | + | 5.23828i | −0.126898 | + | 0.219793i | ||||
\(569\) | −9.53612 | + | 16.5170i | −0.399775 | + | 0.692431i | −0.993698 | − | 0.112091i | \(-0.964245\pi\) |
0.593923 | + | 0.804522i | \(0.297578\pi\) | |||||||
\(570\) | −20.3788 | + | 35.2971i | −0.853575 | + | 1.47843i | ||||
\(571\) | 10.0860 | − | 17.4695i | 0.422086 | − | 0.731075i | −0.574057 | − | 0.818815i | \(-0.694631\pi\) |
0.996143 | + | 0.0877406i | \(0.0279647\pi\) | |||||||
\(572\) | 0.444866 | − | 0.770531i | 0.0186008 | − | 0.0322175i | ||||
\(573\) | −6.95406 | − | 12.0448i | −0.290510 | − | 0.503178i | ||||
\(574\) | 15.5419 | − | 26.9194i | 0.648708 | − | 1.12360i | ||||
\(575\) | −15.7994 | − | 27.3653i | −0.658880 | − | 1.14121i | ||||
\(576\) | −10.0132 | −0.417215 | ||||||||
\(577\) | 22.2069 | − | 38.4635i | 0.924485 | − | 1.60125i | 0.132097 | − | 0.991237i | \(-0.457829\pi\) |
0.792388 | − | 0.610018i | \(-0.208838\pi\) | |||||||
\(578\) | 8.79149 | 0.365678 | ||||||||
\(579\) | −12.8655 | −0.534671 | ||||||||
\(580\) | −35.9331 | − | 62.2380i | −1.49204 | − | 2.58429i | ||||
\(581\) | −51.6167 | −2.14142 | ||||||||
\(582\) | −6.85700 | + | 11.8767i | −0.284232 | + | 0.492304i | ||||
\(583\) | −4.29373 | + | 7.43695i | −0.177828 | + | 0.308007i | ||||
\(584\) | 1.89994 | + | 3.29079i | 0.0786201 | + | 0.136174i | ||||
\(585\) | 0.522602 | + | 0.905173i | 0.0216069 | + | 0.0374243i | ||||
\(586\) | 11.1951 | + | 19.3904i | 0.462464 | + | 0.801012i | ||||
\(587\) | −14.0683 | − | 24.3670i | −0.580661 | − | 1.00573i | −0.995401 | − | 0.0957948i | \(-0.969461\pi\) |
0.414740 | − | 0.909940i | \(-0.363873\pi\) | |||||||
\(588\) | −31.9899 | −1.31924 | ||||||||
\(589\) | −19.1925 | −0.790813 | ||||||||
\(590\) | −13.3115 | − | 23.0562i | −0.548025 | − | 0.949207i | ||||
\(591\) | −3.66078 | + | 6.34066i | −0.150584 | + | 0.260820i | ||||
\(592\) | −8.83234 | + | 15.2981i | −0.363007 | + | 0.628747i | ||||
\(593\) | −9.59039 | − | 16.6110i | −0.393830 | − | 0.682134i | 0.599121 | − | 0.800658i | \(-0.295517\pi\) |
−0.992951 | + | 0.118525i | \(0.962183\pi\) | |||||||
\(594\) | −2.58573 | −0.106094 | ||||||||
\(595\) | 54.7413 | 2.24418 | ||||||||
\(596\) | 12.0280 | − | 20.8331i | 0.492685 | − | 0.853356i | ||||
\(597\) | −7.86931 | − | 13.6300i | −0.322069 | − | 0.557841i | ||||
\(598\) | −3.32121 | −0.135814 | ||||||||
\(599\) | 14.5622 | − | 25.2225i | 0.594996 | − | 1.03056i | −0.398551 | − | 0.917146i | \(-0.630487\pi\) |
0.993547 | − | 0.113418i | \(-0.0361798\pi\) | |||||||
\(600\) | 3.47038 | 0.141678 | ||||||||
\(601\) | 9.71384 | + | 16.8249i | 0.396236 | + | 0.686300i | 0.993258 | − | 0.115924i | \(-0.0369830\pi\) |
−0.597022 | + | 0.802225i | \(0.703650\pi\) | |||||||
\(602\) | −60.7713 | −2.47685 | ||||||||
\(603\) | 6.32977 | + | 5.18980i | 0.257768 | + | 0.211345i | ||||
\(604\) | −19.7737 | −0.804580 | ||||||||
\(605\) | −15.7561 | − | 27.2904i | −0.640577 | − | 1.10951i | ||||
\(606\) | −30.8342 | −1.25256 | ||||||||
\(607\) | −2.66582 | + | 4.61734i | −0.108202 | + | 0.187412i | −0.915042 | − | 0.403358i | \(-0.867843\pi\) |
0.806840 | + | 0.590771i | \(0.201176\pi\) | |||||||
\(608\) | −47.9056 | −1.94283 | ||||||||
\(609\) | −21.7318 | − | 37.6405i | −0.880615 | − | 1.52527i | ||||
\(610\) | −19.3207 | + | 33.4644i | −0.782272 | + | 1.35494i | ||||
\(611\) | 3.55521 | 0.143828 | ||||||||
\(612\) | −8.11447 | −0.328008 | ||||||||
\(613\) | 14.2852 | + | 24.7427i | 0.576974 | + | 0.999348i | 0.995824 | + | 0.0912929i | \(0.0290999\pi\) |
−0.418850 | + | 0.908055i | \(0.637567\pi\) | |||||||
\(614\) | 34.0469 | − | 58.9709i | 1.37402 | − | 2.37987i | ||||
\(615\) | −5.47006 | + | 9.47442i | −0.220574 | + | 0.382045i | ||||
\(616\) | −1.61904 | − | 2.80427i | −0.0652332 | − | 0.112987i | ||||
\(617\) | 4.40114 | 0.177183 | 0.0885916 | − | 0.996068i | \(-0.471763\pi\) | ||||
0.0885916 | + | 0.996068i | \(0.471763\pi\) | |||||||
\(618\) | −35.2317 | −1.41723 | ||||||||
\(619\) | −5.28074 | − | 9.14650i | −0.212251 | − | 0.367629i | 0.740168 | − | 0.672422i | \(-0.234746\pi\) |
−0.952419 | + | 0.304793i | \(0.901413\pi\) | |||||||
\(620\) | 12.3385 | + | 21.3709i | 0.495525 | + | 0.858275i | ||||
\(621\) | 2.56707 | + | 4.44630i | 0.103013 | + | 0.178424i | ||||
\(622\) | −12.1813 | − | 21.0986i | −0.488425 | − | 0.845976i | ||||
\(623\) | 2.39914 | − | 4.15544i | 0.0961197 | − | 0.166484i | ||||
\(624\) | −0.528886 | + | 0.916058i | −0.0211724 | + | 0.0366717i | ||||
\(625\) | −17.8936 | −0.715745 | ||||||||
\(626\) | 31.6303 | + | 54.7852i | 1.26420 | + | 2.18966i | ||||
\(627\) | −7.38506 | −0.294931 | ||||||||
\(628\) | 27.3275 | 1.09048 | ||||||||
\(629\) | −9.32951 | + | 16.1592i | −0.371992 | + | 0.644309i | ||||
\(630\) | 31.6934 | 1.26270 | ||||||||
\(631\) | 22.1816 | + | 38.4197i | 0.883037 | + | 1.52946i | 0.847948 | + | 0.530080i | \(0.177838\pi\) |
0.0350890 | + | 0.999384i | \(0.488829\pi\) | |||||||
\(632\) | 1.25378 | − | 2.17161i | 0.0498726 | − | 0.0863820i | ||||
\(633\) | 11.1884 | + | 19.3789i | 0.444699 | + | 0.770241i | ||||
\(634\) | 3.07280 | − | 5.32224i | 0.122036 | − | 0.211373i | ||||
\(635\) | 13.2671 | − | 22.9793i | 0.526488 | − | 0.911905i | ||||
\(636\) | −7.80125 | + | 13.5122i | −0.309340 | + | 0.535792i | ||||
\(637\) | −2.20240 | + | 3.81468i | −0.0872625 | + | 0.151143i | ||||
\(638\) | 12.2403 | − | 21.2009i | 0.484599 | − | 0.839350i | ||||
\(639\) | 5.36356 | − | 9.28995i | 0.212179 | − | 0.367505i | ||||
\(640\) | 7.46284 | + | 12.9260i | 0.294995 | + | 0.510946i | ||||
\(641\) | −19.3700 | + | 33.5499i | −0.765070 | + | 1.32514i | 0.175139 | + | 0.984544i | \(0.443963\pi\) |
−0.940209 | + | 0.340597i | \(0.889371\pi\) | |||||||
\(642\) | −12.0398 | − | 20.8535i | −0.475173 | − | 0.823023i | ||||
\(643\) | −8.35195 | −0.329369 | −0.164684 | − | 0.986346i | \(-0.552661\pi\) | ||||
−0.164684 | + | 0.986346i | \(0.552661\pi\) | |||||||
\(644\) | −26.7844 | + | 46.3919i | −1.05545 | + | 1.82810i | ||||
\(645\) | 21.3887 | 0.842180 | ||||||||
\(646\) | −43.5696 | −1.71422 | ||||||||
\(647\) | 14.0986 | + | 24.4194i | 0.554272 | + | 0.960027i | 0.997960 | + | 0.0638453i | \(0.0203364\pi\) |
−0.443688 | + | 0.896181i | \(0.646330\pi\) | |||||||
\(648\) | −0.563865 | −0.0221507 | ||||||||
\(649\) | 2.41197 | − | 4.17765i | 0.0946780 | − | 0.163987i | ||||
\(650\) | 1.99068 | − | 3.44795i | 0.0780808 | − | 0.135240i | ||||
\(651\) | 7.46211 | + | 12.9247i | 0.292463 | + | 0.506561i | ||||
\(652\) | −24.9989 | − | 43.2994i | −0.979032 | − | 1.69573i | ||||
\(653\) | −12.8044 | − | 22.1779i | −0.501076 | − | 0.867889i | −0.999999 | − | 0.00124301i | \(-0.999604\pi\) |
0.498923 | − | 0.866646i | \(-0.333729\pi\) | |||||||
\(654\) | −4.11959 | − | 7.13534i | −0.161089 | − | 0.279014i | ||||
\(655\) | 0.114380 | 0.00446920 | ||||||||
\(656\) | −11.0717 | −0.432276 | ||||||||
\(657\) | −3.36950 | − | 5.83614i | −0.131457 | − | 0.227690i | ||||
\(658\) | 53.9018 | − | 93.3606i | 2.10131 | − | 3.63957i | ||||
\(659\) | 25.0194 | − | 43.3349i | 0.974617 | − | 1.68809i | 0.293425 | − | 0.955982i | \(-0.405205\pi\) |
0.681192 | − | 0.732105i | \(-0.261462\pi\) | |||||||
\(660\) | 4.74771 | + | 8.22327i | 0.184804 | + | 0.320090i | ||||
\(661\) | 14.0595 | 0.546850 | 0.273425 | − | 0.961893i | \(-0.411844\pi\) | ||||
0.273425 | + | 0.961893i | \(0.411844\pi\) | |||||||
\(662\) | 32.2612 | 1.25387 | ||||||||
\(663\) | −0.558657 | + | 0.967622i | −0.0216964 | + | 0.0375793i | ||||
\(664\) | −3.16993 | − | 5.49048i | −0.123017 | − | 0.213072i | ||||
\(665\) | 90.5189 | 3.51017 | ||||||||
\(666\) | −5.40147 | + | 9.35562i | −0.209303 | + | 0.362523i | ||||
\(667\) | −48.6079 | −1.88211 | ||||||||
\(668\) | 7.45912 | + | 12.9196i | 0.288602 | + | 0.499874i | ||||
\(669\) | −0.871719 | −0.0337026 | ||||||||
\(670\) | 9.17925 | − | 55.7589i | 0.354625 | − | 2.15415i | ||||
\(671\) | −7.00161 | −0.270294 | ||||||||
\(672\) | 18.6258 | + | 32.2609i | 0.718508 | + | 1.24449i | ||||
\(673\) | −34.3350 | −1.32352 | −0.661758 | − | 0.749717i | \(-0.730190\pi\) | ||||
−0.661758 | + | 0.749717i | \(0.730190\pi\) | |||||||
\(674\) | −5.13533 | + | 8.89465i | −0.197805 | + | 0.342609i | ||||
\(675\) | −6.15464 | −0.236892 | ||||||||
\(676\) | 14.6618 | + | 25.3950i | 0.563916 | + | 0.976730i | ||||
\(677\) | −12.0753 | + | 20.9150i | −0.464091 | + | 0.803830i | −0.999160 | − | 0.0409786i | \(-0.986952\pi\) |
0.535069 | + | 0.844809i | \(0.320286\pi\) | |||||||
\(678\) | 23.5742 | 0.905361 | ||||||||
\(679\) | 30.4575 | 1.16885 | ||||||||
\(680\) | 3.36182 | + | 5.82285i | 0.128920 | + | 0.223296i | ||||
\(681\) | −4.03806 | + | 6.99412i | −0.154739 | + | 0.268015i | ||||
\(682\) | −4.20300 | + | 7.27981i | −0.160941 | + | 0.278758i | ||||
\(683\) | 3.21623 | + | 5.57067i | 0.123066 | + | 0.213156i | 0.920975 | − | 0.389621i | \(-0.127394\pi\) |
−0.797910 | + | 0.602777i | \(0.794061\pi\) | |||||||
\(684\) | −13.4179 | −0.513046 | ||||||||
\(685\) | −8.28241 | −0.316455 | ||||||||
\(686\) | 33.5698 | + | 58.1446i | 1.28170 | + | 2.21997i | ||||
\(687\) | −4.17477 | − | 7.23091i | −0.159277 | − | 0.275877i | ||||
\(688\) | 10.8230 | + | 18.7459i | 0.412622 | + | 0.714682i | ||||
\(689\) | 1.07419 | + | 1.86054i | 0.0409232 | + | 0.0708811i | ||||
\(690\) | 17.7223 | − | 30.6960i | 0.674678 | − | 1.16858i | ||||
\(691\) | −14.3739 | + | 24.8963i | −0.546809 | + | 0.947101i | 0.451681 | + | 0.892179i | \(0.350824\pi\) |
−0.998491 | + | 0.0549222i | \(0.982509\pi\) | |||||||
\(692\) | −1.32978 | −0.0505507 | ||||||||
\(693\) | 2.87134 | + | 4.97330i | 0.109073 | + | 0.188920i | ||||
\(694\) | −17.4759 | −0.663377 | ||||||||
\(695\) | −55.1644 | −2.09251 | ||||||||
\(696\) | 2.66922 | − | 4.62322i | 0.101176 | − | 0.175243i | ||||
\(697\) | −11.6949 | −0.442976 | ||||||||
\(698\) | 10.2343 | + | 17.7264i | 0.387375 | + | 0.670953i | ||||
\(699\) | 8.39274 | − | 14.5367i | 0.317443 | − | 0.549827i | ||||
\(700\) | −32.1082 | − | 55.6131i | −1.21358 | − | 2.10198i | ||||
\(701\) | −15.8328 | + | 27.4233i | −0.597998 | + | 1.03576i | 0.395118 | + | 0.918630i | \(0.370704\pi\) |
−0.993116 | + | 0.117133i | \(0.962630\pi\) | |||||||
\(702\) | −0.323444 | + | 0.560221i | −0.0122076 | + | 0.0211442i | ||||
\(703\) | −15.4270 | + | 26.7204i | −0.581842 | + | 1.00778i | ||||
\(704\) | −6.26281 | + | 10.8475i | −0.236038 | + | 0.408831i | ||||
\(705\) | −18.9710 | + | 32.8587i | −0.714488 | + | 1.23753i | ||||
\(706\) | 16.0495 | − | 27.7986i | 0.604031 | − | 1.04621i | ||||
\(707\) | 34.2400 | + | 59.3054i | 1.28773 | + | 2.23041i | ||||
\(708\) | 4.38229 | − | 7.59035i | 0.164697 | − | 0.285263i | ||||
\(709\) | 5.50090 | + | 9.52783i | 0.206591 | + | 0.357825i | 0.950638 | − | 0.310301i | \(-0.100430\pi\) |
−0.744048 | + | 0.668126i | \(0.767097\pi\) | |||||||
\(710\) | −74.0570 | −2.77931 | ||||||||
\(711\) | −2.22355 | + | 3.85129i | −0.0833895 | + | 0.144435i | ||||
\(712\) | 0.589353 | 0.0220869 | ||||||||
\(713\) | 16.6907 | 0.625070 | ||||||||
\(714\) | 16.9400 | + | 29.3409i | 0.633963 | + | 1.09806i | ||||
\(715\) | 1.30746 | 0.0488963 | ||||||||
\(716\) | 22.8611 | − | 39.5966i | 0.854360 | − | 1.47979i | ||||
\(717\) | 3.81459 | − | 6.60707i | 0.142459 | − | 0.246746i | ||||
\(718\) | −12.0417 | − | 20.8568i | −0.449391 | − | 0.778367i | ||||
\(719\) | 1.79747 | + | 3.11331i | 0.0670343 | + | 0.116107i | 0.897595 | − | 0.440822i | \(-0.145313\pi\) |
−0.830560 | + | 0.556929i | \(0.811980\pi\) | |||||||
\(720\) | −5.64439 | − | 9.77637i | −0.210354 | − | 0.364344i | ||||
\(721\) | 39.1232 | + | 67.7634i | 1.45702 | + | 2.52364i | ||||
\(722\) | −32.7712 | −1.21962 | ||||||||
\(723\) | 22.7915 | 0.847625 | ||||||||
\(724\) | 6.00223 | + | 10.3962i | 0.223071 | + | 0.386370i | ||||
\(725\) | 29.1348 | − | 50.4629i | 1.08204 | − | 1.87415i | ||||
\(726\) | 9.75163 | − | 16.8903i | 0.361917 | − | 0.626858i | ||||
\(727\) | 1.23023 | + | 2.13083i | 0.0456269 | + | 0.0790281i | 0.887937 | − | 0.459965i | \(-0.152138\pi\) |
−0.842310 | + | 0.538993i | \(0.818805\pi\) | |||||||
\(728\) | −0.810091 | −0.0300240 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −23.2621 | + | 40.2911i | −0.860968 | + | 1.49124i | ||||
\(731\) | 11.4322 | + | 19.8011i | 0.422835 | + | 0.732371i | ||||
\(732\) | −12.7212 | −0.470189 | ||||||||
\(733\) | 21.1873 | − | 36.6975i | 0.782571 | − | 1.35545i | −0.147869 | − | 0.989007i | \(-0.547241\pi\) |
0.930440 | − | 0.366445i | \(-0.119425\pi\) | |||||||
\(734\) | 8.24894 | 0.304474 | ||||||||
\(735\) | −23.5045 | − | 40.7111i | −0.866978 | − | 1.50165i | ||||
\(736\) | 41.6609 | 1.53564 | ||||||||
\(737\) | 9.58124 | − | 3.61120i | 0.352930 | − | 0.133020i | ||||
\(738\) | −6.77095 | −0.249242 | ||||||||
\(739\) | 13.0916 | + | 22.6753i | 0.481582 | + | 0.834125i | 0.999777 | − | 0.0211382i | \(-0.00672898\pi\) |
−0.518194 | + | 0.855263i | \(0.673396\pi\) | |||||||
\(740\) | 39.6709 | 1.45833 | ||||||||
\(741\) | −0.923781 | + | 1.60003i | −0.0339359 | + | 0.0587787i | ||||
\(742\) | 65.1444 | 2.39153 | ||||||||
\(743\) | 13.1783 | + | 22.8256i | 0.483466 | + | 0.837389i | 0.999820 | − | 0.0189872i | \(-0.00604417\pi\) |
−0.516353 | + | 0.856376i | \(0.672711\pi\) | |||||||
\(744\) | −0.916538 | + | 1.58749i | −0.0336019 | + | 0.0582002i | ||||
\(745\) | 35.3502 | 1.29513 | ||||||||
\(746\) | 10.5464 | 0.386131 | ||||||||
\(747\) | 5.62179 | + | 9.73722i | 0.205690 | + | 0.356266i | ||||
\(748\) | −5.07526 | + | 8.79061i | −0.185570 | + | 0.321417i | ||||
\(749\) | −26.7392 | + | 46.3137i | −0.977031 | + | 1.69227i | ||||
\(750\) | 3.98564 | + | 6.90334i | 0.145535 | + | 0.252074i | ||||
\(751\) | −50.4002 | −1.83913 | −0.919564 | − | 0.392940i | \(-0.871458\pi\) | ||||
−0.919564 | + | 0.392940i | \(0.871458\pi\) | |||||||
\(752\) | −38.3982 | −1.40024 | ||||||||
\(753\) | −7.13708 | − | 12.3618i | −0.260090 | − | 0.450488i | ||||
\(754\) | −3.06223 | − | 5.30394i | −0.111520 | − | 0.193158i | ||||
\(755\) | −14.5287 | − | 25.1645i | −0.528754 | − | 0.915829i | ||||
\(756\) | 5.21692 | + | 9.03597i | 0.189737 | + | 0.328635i | ||||
\(757\) | 20.6986 | − | 35.8511i | 0.752304 | − | 1.30303i | −0.194400 | − | 0.980922i | \(-0.562276\pi\) |
0.946704 | − | 0.322106i | \(-0.104391\pi\) | |||||||
\(758\) | 19.1213 | − | 33.1191i | 0.694519 | − | 1.20294i | ||||
\(759\) | 6.42238 | 0.233118 | ||||||||
\(760\) | 5.55902 | + | 9.62851i | 0.201647 | + | 0.349263i | ||||
\(761\) | −28.7610 | −1.04259 | −0.521293 | − | 0.853378i | \(-0.674550\pi\) | ||||
−0.521293 | + | 0.853378i | \(0.674550\pi\) | |||||||
\(762\) | 16.4223 | 0.594916 | ||||||||
\(763\) | −9.14922 | + | 15.8469i | −0.331224 | + | 0.573697i | ||||
\(764\) | −31.6101 | −1.14362 | ||||||||
\(765\) | −5.96211 | − | 10.3267i | −0.215560 | − | 0.373362i | ||||
\(766\) | 13.5716 | − | 23.5066i | 0.490360 | − | 0.849329i | ||||
\(767\) | −0.603415 | − | 1.04515i | −0.0217881 | − | 0.0377380i | ||||
\(768\) | 5.39432 | − | 9.34324i | 0.194651 | − | 0.337145i | ||||
\(769\) | 3.85449 | − | 6.67617i | 0.138996 | − | 0.240749i | −0.788121 | − | 0.615521i | \(-0.788946\pi\) |
0.927117 | + | 0.374772i | \(0.122279\pi\) | |||||||
\(770\) | 19.8229 | − | 34.3343i | 0.714368 | − | 1.23732i | ||||
\(771\) | −0.889005 | + | 1.53980i | −0.0320167 | + | 0.0554546i | ||||
\(772\) | −14.6202 | + | 25.3230i | −0.526193 | + | 0.911393i | ||||
\(773\) | −3.50421 | + | 6.06947i | −0.126038 | + | 0.218304i | −0.922138 | − | 0.386861i | \(-0.873559\pi\) |
0.796100 | + | 0.605165i | \(0.206893\pi\) | |||||||
\(774\) | 6.61885 | + | 11.4642i | 0.237910 | + | 0.412072i | ||||
\(775\) | −10.0041 | + | 17.3276i | −0.359358 | + | 0.622426i | ||||
\(776\) | 1.87048 | + | 3.23977i | 0.0671464 | + | 0.116301i | ||||
\(777\) | 23.9923 | 0.860720 | ||||||||
\(778\) | −7.74578 | + | 13.4161i | −0.277700 | + | 0.480990i | ||||
\(779\) | −19.3384 | −0.692869 | ||||||||
\(780\) | 2.37552 | 0.0850573 | ||||||||
\(781\) | −6.70936 | − | 11.6210i | −0.240080 | − | 0.415830i | ||||
\(782\) | 37.8901 | 1.35495 | ||||||||
\(783\) | −4.73379 | + | 8.19917i | −0.169172 | + | 0.293014i | ||||
\(784\) | 23.7872 | − | 41.2006i | 0.849543 | − | 1.47145i | ||||
\(785\) | 20.0789 | + | 34.7776i | 0.716645 | + | 1.24127i | ||||
\(786\) | 0.0353955 | + | 0.0613068i | 0.00126252 | + | 0.00218674i | ||||
\(787\) | −4.30791 | − | 7.46152i | −0.153561 | − | 0.265975i | 0.778973 | − | 0.627057i | \(-0.215741\pi\) |
−0.932534 | + | 0.361082i | \(0.882407\pi\) | |||||||
\(788\) | 8.32016 | + | 14.4109i | 0.296394 | + | 0.513369i | ||||
\(789\) | −8.97731 | −0.319601 | ||||||||
\(790\) | 30.7015 | 1.09231 | ||||||||
\(791\) | −26.1780 | − | 45.3417i | −0.930783 | − | 1.61216i | ||||
\(792\) | −0.352674 | + | 0.610849i | −0.0125317 | + | 0.0217056i | ||||
\(793\) | −0.875816 | + | 1.51696i | −0.0311011 | + | 0.0538687i | ||||
\(794\) | −19.2853 | − | 33.4031i | −0.684410 | − | 1.18543i | ||||
\(795\) | −22.9279 | −0.813168 | ||||||||
\(796\) | −35.7705 | −1.26785 | ||||||||
\(797\) | −17.6433 | + | 30.5591i | −0.624959 | + | 1.08246i | 0.363590 | + | 0.931559i | \(0.381551\pi\) |
−0.988549 | + | 0.150901i | \(0.951782\pi\) | |||||||
\(798\) | 28.0115 | + | 48.5174i | 0.991598 | + | 1.71750i | ||||
\(799\) | −40.5596 | −1.43490 | ||||||||
\(800\) | −24.9708 | + | 43.2507i | −0.882852 | + | 1.52914i | ||||
\(801\) | −1.04520 | −0.0369304 | ||||||||
\(802\) | 10.4100 | + | 18.0307i | 0.367591 | + | 0.636686i | ||||
\(803\) | −8.42992 | −0.297485 | ||||||||
\(804\) | 17.4081 | − | 6.56118i | 0.613937 | − | 0.231395i | ||||
\(805\) | −78.7193 | −2.77449 | ||||||||
\(806\) | 1.05149 | + | 1.82123i | 0.0370371 | + | 0.0641501i | ||||
\(807\) | −4.39349 | −0.154658 | ||||||||
\(808\) | −4.20555 | + | 7.28423i | −0.147951 | + | 0.256258i | ||||
\(809\) | 13.4420 | 0.472594 | 0.236297 | − | 0.971681i | \(-0.424066\pi\) | ||||
0.236297 | + | 0.971681i | \(0.424066\pi\) | |||||||
\(810\) | −3.45186 | − | 5.97880i | −0.121286 | − | 0.210074i | ||||
\(811\) | −3.31678 | + | 5.74483i | −0.116468 | + | 0.201728i | −0.918366 | − | 0.395733i | \(-0.870491\pi\) |
0.801898 | + | 0.597461i | \(0.203824\pi\) | |||||||
\(812\) | −98.7832 | −3.46661 | ||||||||
\(813\) | 17.2470 | 0.604880 | ||||||||
\(814\) | 6.75679 | + | 11.7031i | 0.236825 | + | 0.410193i | ||||
\(815\) | 36.7359 | − | 63.6284i | 1.28680 | − | 2.22881i | ||||
\(816\) | 6.03381 | − | 10.4509i | 0.211225 | − | 0.365853i | ||||
\(817\) | 18.9040 | + | 32.7426i | 0.661366 | + | 1.14552i | ||||
\(818\) | 75.4431 | 2.63780 | ||||||||
\(819\) | 1.43668 | 0.0502015 | ||||||||
\(820\) | 12.4323 | + | 21.5333i | 0.434153 | + | 0.751976i | ||||
\(821\) | 13.3383 | + | 23.1026i | 0.465511 | + | 0.806288i | 0.999224 | − | 0.0393773i | \(-0.0125374\pi\) |
−0.533714 | + | 0.845665i | \(0.679204\pi\) | |||||||
\(822\) | −2.56304 | − | 4.43931i | −0.0893961 | − | 0.154839i | ||||
\(823\) | 9.80031 | + | 16.9746i | 0.341617 | + | 0.591699i | 0.984733 | − | 0.174070i | \(-0.0556920\pi\) |
−0.643116 | + | 0.765769i | \(0.722359\pi\) | |||||||
\(824\) | −4.80533 | + | 8.32308i | −0.167402 | + | 0.289948i | ||||
\(825\) | −3.84947 | + | 6.66747i | −0.134021 | + | 0.232132i | ||||
\(826\) | −36.5944 | −1.27328 | ||||||||
\(827\) | −28.4148 | − | 49.2160i | −0.988081 | − | 1.71141i | −0.627352 | − | 0.778736i | \(-0.715861\pi\) |
−0.360729 | − | 0.932671i | \(-0.617472\pi\) | |||||||
\(828\) | 11.6688 | 0.405519 | ||||||||
\(829\) | 33.0130 | 1.14659 | 0.573294 | − | 0.819350i | \(-0.305665\pi\) | ||||
0.573294 | + | 0.819350i | \(0.305665\pi\) | |||||||
\(830\) | 38.8113 | − | 67.2231i | 1.34716 | − | 2.33335i | ||||
\(831\) | −7.41504 | −0.257225 | ||||||||
\(832\) | 1.56680 | + | 2.71378i | 0.0543191 | + | 0.0940834i | ||||
\(833\) | 25.1262 | − | 43.5198i | 0.870570 | − | 1.50787i | ||||
\(834\) | −17.0709 | − | 29.5677i | −0.591117 | − | 1.02385i | ||||
\(835\) | −10.9612 | + | 18.9853i | −0.379327 | + | 0.657014i | ||||
\(836\) | −8.39232 | + | 14.5359i | −0.290255 | + | 0.502736i | ||||
\(837\) | 1.62546 | − | 2.81538i | 0.0561840 | − | 0.0973136i | ||||
\(838\) | 16.6103 | − | 28.7699i | 0.573794 | − | 0.993841i | ||||
\(839\) | −20.6511 | + | 35.7688i | −0.712957 | + | 1.23488i | 0.250786 | + | 0.968043i | \(0.419311\pi\) |
−0.963742 | + | 0.266835i | \(0.914022\pi\) | |||||||
\(840\) | 4.32273 | − | 7.48719i | 0.149148 | − | 0.258333i | ||||
\(841\) | −30.3176 | − | 52.5116i | −1.04543 | − | 1.81074i | ||||
\(842\) | −4.51265 | + | 7.81613i | −0.155516 | + | 0.269362i | ||||
\(843\) | 12.0360 | + | 20.8470i | 0.414543 | + | 0.718009i | ||||
\(844\) | 50.8576 | 1.75059 | ||||||||
\(845\) | −21.5455 | + | 37.3179i | −0.741188 | + | 1.28378i | ||||
\(846\) | −23.4827 | −0.807350 | ||||||||
\(847\) | −43.3149 | −1.48832 | ||||||||
\(848\) | −11.6018 | − | 20.0949i | −0.398408 | − | 0.690062i | ||||
\(849\) | −12.8991 | −0.442697 | ||||||||
\(850\) | −22.7107 | + | 39.3360i | −0.778970 | + | 1.34921i | ||||
\(851\) | 13.4160 | − | 23.2373i | 0.459896 | − | 0.796563i | ||||
\(852\) | −12.1902 | − | 21.1141i | −0.417630 | − | 0.723356i | ||||
\(853\) | 27.8005 | + | 48.1518i | 0.951870 | + | 1.64869i | 0.741374 | + | 0.671092i | \(0.234175\pi\) |
0.210496 | + | 0.977595i | \(0.432492\pi\) | |||||||
\(854\) | 26.5571 | + | 45.9983i | 0.908766 | + | 1.57403i | ||||
\(855\) | −9.85879 | − | 17.0759i | −0.337163 | − | 0.583984i | ||||
\(856\) | −6.56853 | −0.224508 | ||||||||
\(857\) | 26.5305 | 0.906264 | 0.453132 | − | 0.891443i | \(-0.350307\pi\) | ||||
0.453132 | + | 0.891443i | \(0.350307\pi\) | |||||||
\(858\) | 0.404601 | + | 0.700789i | 0.0138128 | + | 0.0239245i | ||||
\(859\) | −1.70883 | + | 2.95978i | −0.0583045 | + | 0.100986i | −0.893704 | − | 0.448656i | \(-0.851903\pi\) |
0.835400 | + | 0.549643i | \(0.185236\pi\) | |||||||
\(860\) | 24.3060 | − | 42.0992i | 0.828827 | − | 1.43557i | ||||
\(861\) | 7.51882 | + | 13.0230i | 0.256241 | + | 0.443822i | ||||
\(862\) | 33.2721 | 1.13325 | ||||||||
\(863\) | −46.2407 | −1.57405 | −0.787026 | − | 0.616920i | \(-0.788380\pi\) | ||||
−0.787026 | + | 0.616920i | \(0.788380\pi\) | |||||||
\(864\) | 4.05724 | − | 7.02734i | 0.138030 | − | 0.239075i | ||||
\(865\) | −0.977057 | − | 1.69231i | −0.0332209 | − | 0.0575403i | ||||
\(866\) | −47.1408 | −1.60191 | ||||||||
\(867\) | −2.12656 | + | 3.68330i | −0.0722217 | + | 0.125092i | ||||
\(868\) | 33.9195 | 1.15130 | ||||||||
\(869\) | 2.78147 | + | 4.81765i | 0.0943549 | + | 0.163427i | ||||
\(870\) | 65.3616 | 2.21596 | ||||||||
\(871\) | 0.416099 | − | 2.52757i | 0.0140990 | − | 0.0856436i | ||||
\(872\) | −2.24752 | −0.0761106 | ||||||||
\(873\) | −3.31725 | − | 5.74565i | −0.112272 | − | 0.194461i | ||||
\(874\) | 62.6541 | 2.11931 | ||||||||
\(875\) | 8.85174 | − | 15.3317i | 0.299243 | − | 0.518305i | ||||
\(876\) | −15.3163 | −0.517489 | ||||||||
\(877\) | −5.98748 | − | 10.3706i | −0.202183 | − | 0.350191i | 0.747049 | − | 0.664769i | \(-0.231470\pi\) |
−0.949231 | + | 0.314579i | \(0.898137\pi\) | |||||||
\(878\) | 18.3259 | − | 31.7414i | 0.618470 | − | 1.07122i | ||||
\(879\) | −10.8318 | −0.365348 | ||||||||
\(880\) | −14.1213 | −0.476029 | ||||||||
\(881\) | 3.05463 | + | 5.29077i | 0.102913 | + | 0.178251i | 0.912884 | − | 0.408220i | \(-0.133850\pi\) |
−0.809971 | + | 0.586470i | \(0.800517\pi\) | |||||||
\(882\) | 14.5472 | − | 25.1965i | 0.489830 | − | 0.848410i | ||||
\(883\) | 22.9344 | − | 39.7235i | 0.771802 | − | 1.33680i | −0.164772 | − | 0.986332i | \(-0.552689\pi\) |
0.936574 | − | 0.350469i | \(-0.113978\pi\) | |||||||
\(884\) | 1.26971 | + | 2.19920i | 0.0427048 | + | 0.0739670i | ||||
\(885\) | 12.8796 | 0.432941 | ||||||||
\(886\) | 34.1353 | 1.14680 | ||||||||
\(887\) | −12.0402 | − | 20.8543i | −0.404271 | − | 0.700218i | 0.589965 | − | 0.807429i | \(-0.299141\pi\) |
−0.994236 | + | 0.107210i | \(0.965808\pi\) | |||||||
\(888\) | 1.47344 | + | 2.55207i | 0.0494453 | + | 0.0856418i | ||||
\(889\) | −18.2362 | − | 31.5860i | −0.611622 | − | 1.05936i | ||||
\(890\) | 3.60790 | + | 6.24906i | 0.120937 | + | 0.209469i | ||||
\(891\) | 0.625458 | − | 1.08333i | 0.0209536 | − | 0.0362928i | ||||
\(892\) | −0.990615 | + | 1.71580i | −0.0331682 | + | 0.0574491i | ||||
\(893\) | −67.0683 | −2.24436 | ||||||||
\(894\) | 10.9393 | + | 18.9474i | 0.365865 | + | 0.633697i | ||||
\(895\) | 67.1888 | 2.24587 | ||||||||
\(896\) | 20.5160 | 0.685391 | ||||||||
\(897\) | 0.803361 | − | 1.39146i | 0.0268235 | − | 0.0464596i | ||||
\(898\) | −77.6641 | −2.59168 | ||||||||
\(899\) | 15.3892 | + | 26.6548i | 0.513257 | + | 0.888988i | ||||
\(900\) | −6.99408 | + | 12.1141i | −0.233136 | + | 0.403803i | ||||
\(901\) | −12.2549 | − | 21.2260i | −0.408268 | − | 0.707142i | ||||
\(902\) | −4.23495 | + | 7.33514i | −0.141008 | + | 0.244234i | ||||
\(903\) | 14.6998 | − | 25.4609i | 0.489180 | − | 0.847285i | ||||
\(904\) | 3.21533 | − | 5.56912i | 0.106940 | − | 0.185226i | ||||
\(905\) | −8.82027 | + | 15.2772i | −0.293196 | + | 0.507830i | ||||
\(906\) | 8.99197 | − | 15.5746i | 0.298738 | − | 0.517430i | ||||
\(907\) | −8.50135 | + | 14.7248i | −0.282283 | + | 0.488928i | −0.971947 | − | 0.235202i | \(-0.924425\pi\) |
0.689664 | + | 0.724130i | \(0.257758\pi\) | |||||||
\(908\) | 9.17763 | + | 15.8961i | 0.304570 | + | 0.527531i | ||||
\(909\) | 7.45844 | − | 12.9184i | 0.247381 | − | 0.428476i | ||||
\(910\) | −4.95920 | − | 8.58959i | −0.164396 | − | 0.284742i | ||||
\(911\) | 25.5080 | 0.845117 | 0.422559 | − | 0.906336i | \(-0.361132\pi\) | ||||
0.422559 | + | 0.906336i | \(0.361132\pi\) | |||||||
\(912\) | 9.97735 | − | 17.2813i | 0.330383 | − | 0.572240i | ||||
\(913\) | 14.0648 | 0.465476 | ||||||||
\(914\) | 35.6251 | 1.17837 | ||||||||
\(915\) | −9.34690 | − | 16.1893i | −0.308999 | − | 0.535202i | ||||
\(916\) | −18.9767 | −0.627008 | ||||||||
\(917\) | 0.0786101 | − | 0.136157i | 0.00259594 | − | 0.00449629i | ||||
\(918\) | 3.69001 | − | 6.39128i | 0.121788 | − | 0.210944i | ||||
\(919\) | 4.03888 | + | 6.99554i | 0.133230 | + | 0.230762i | 0.924920 | − | 0.380162i | \(-0.124132\pi\) |
−0.791690 | + | 0.610923i | \(0.790798\pi\) | |||||||
\(920\) | −4.83438 | − | 8.37339i | −0.159385 | − | 0.276062i | ||||
\(921\) | 16.4711 | + | 28.5287i | 0.542740 | + | 0.940053i | ||||
\(922\) | −8.17596 | − | 14.1612i | −0.269261 | − | 0.466374i | ||||
\(923\) | −3.35703 | −0.110498 | ||||||||
\(924\) | 13.0519 | 0.429374 | ||||||||
\(925\) | 16.0827 | + | 27.8561i | 0.528796 | + | 0.915901i | ||||
\(926\) | 9.75955 | − | 16.9040i | 0.320719 | − | 0.555501i | ||||
\(927\) | 8.52214 | − | 14.7608i | 0.279904 | − | 0.484808i | ||||
\(928\) | 38.4122 | + | 66.5319i | 1.26094 | + | 2.18402i | ||||
\(929\) | 15.0624 | 0.494180 | 0.247090 | − | 0.968993i | \(-0.420526\pi\) | ||||
0.247090 | + | 0.968993i | \(0.420526\pi\) | |||||||
\(930\) | −22.4434 | −0.735949 | ||||||||
\(931\) | 41.5480 | − | 71.9632i | 1.36168 | − | 2.35850i | ||||
\(932\) | −19.0749 | − | 33.0387i | −0.624819 | − | 1.08222i | ||||
\(933\) | 11.7860 | 0.385857 | ||||||||
\(934\) | −16.3355 | + | 28.2939i | −0.534513 | + | 0.925803i | ||||
\(935\) | −14.9162 | −0.487812 | ||||||||
\(936\) | 0.0882303 | + | 0.152819i | 0.00288390 | + | 0.00499506i | ||||
\(937\) | −36.2108 | −1.18296 | −0.591478 | − | 0.806321i | \(-0.701455\pi\) | ||||
−0.591478 | + | 0.806321i | \(0.701455\pi\) | |||||||
\(938\) | −60.0661 | − | 49.2483i | −1.96123 | − | 1.60801i | ||||
\(939\) | −30.6039 | −0.998721 | ||||||||
\(940\) | 43.1169 | + | 74.6807i | 1.40632 | + | 2.43582i | ||||
\(941\) | 0.00732878 | 0.000238911 | 0.000119456 | − | 1.00000i | \(-0.499962\pi\) | ||||
0.000119456 | 1.00000i | \(0.499962\pi\) | ||||||||
\(942\) | −12.4270 | + | 21.5242i | −0.404894 | + | 0.701297i | ||||
\(943\) | 16.8175 | 0.547654 | ||||||||
\(944\) | 6.51722 | + | 11.2882i | 0.212117 | + | 0.367398i | ||||
\(945\) | −7.66626 | + | 13.2783i | −0.249383 | + | 0.431945i | ||||
\(946\) | 16.5593 | 0.538388 | ||||||||
\(947\) | −21.7746 | −0.707581 | −0.353790 | − | 0.935325i | \(-0.615107\pi\) | ||||
−0.353790 | + | 0.935325i | \(0.615107\pi\) | |||||||
\(948\) | 5.05364 | + | 8.75316i | 0.164135 | + | 0.284289i | ||||
\(949\) | −1.05448 | + | 1.82641i | −0.0342299 | + | 0.0592878i | ||||
\(950\) | −37.5538 | + | 65.0451i | −1.21841 | + | 2.11034i | ||||
\(951\) | 1.48655 | + | 2.57477i | 0.0482046 | + | 0.0834928i | ||||
\(952\) | 9.24193 | 0.299533 | ||||||||
\(953\) | 47.2450 | 1.53042 | 0.765208 | − | 0.643784i | \(-0.222636\pi\) | ||||
0.765208 | + | 0.643784i | \(0.222636\pi\) | |||||||
\(954\) | −7.09515 | − | 12.2892i | −0.229714 | − | 0.397876i | ||||
\(955\) | −23.2256 | − | 40.2278i | −0.751561 | − | 1.30174i | ||||
\(956\) | −8.66975 | − | 15.0164i | −0.280400 | − | 0.485667i | ||||
\(957\) | 5.92158 | + | 10.2565i | 0.191417 | + | 0.331545i | ||||
\(958\) | −0.340887 | + | 0.590433i | −0.0110136 | + | 0.0190760i | ||||
\(959\) | −5.69226 | + | 9.85929i | −0.183813 | + | 0.318373i | ||||
\(960\) | −33.4425 | −1.07935 | ||||||||
\(961\) | 10.2158 | + | 17.6942i | 0.329541 | + | 0.570782i | ||||
\(962\) | 3.38077 | 0.109000 | ||||||||
\(963\) | 11.6491 | 0.375388 | ||||||||
\(964\) | 25.9001 | − | 44.8602i | 0.834185 | − | 1.44485i | ||||
\(965\) | −42.9688 | −1.38322 | ||||||||
\(966\) | −24.3601 | − | 42.1929i | −0.783774 | − | 1.35754i | ||||
\(967\) | 3.99150 | − | 6.91347i | 0.128358 | − | 0.222322i | −0.794683 | − | 0.607025i | \(-0.792363\pi\) |
0.923040 | + | 0.384703i | \(0.125696\pi\) | |||||||
\(968\) | −2.66009 | − | 4.60741i | −0.0854986 | − | 0.148088i | ||||
\(969\) | 10.5390 | − | 18.2540i | 0.338560 | − | 0.586404i | ||||
\(970\) | −22.9014 | + | 39.6664i | −0.735319 | + | 1.27361i | ||||
\(971\) | 29.2476 | − | 50.6583i | 0.938599 | − | 1.62570i | 0.170513 | − | 0.985356i | \(-0.445458\pi\) |
0.768087 | − | 0.640346i | \(-0.221209\pi\) | |||||||
\(972\) | 1.13639 | − | 1.96829i | 0.0364498 | − | 0.0631329i | ||||
\(973\) | −37.9129 | + | 65.6671i | −1.21543 | + | 2.10519i | ||||
\(974\) | −11.6687 | + | 20.2107i | −0.373888 | + | 0.647594i | ||||
\(975\) | 0.963042 | + | 1.66804i | 0.0308420 | + | 0.0534200i | ||||
\(976\) | 9.45930 | − | 16.3840i | 0.302785 | − | 0.524439i | ||||
\(977\) | 15.9807 | + | 27.6794i | 0.511267 | + | 0.885541i | 0.999915 | + | 0.0130596i | \(0.00415712\pi\) |
−0.488647 | + | 0.872481i | \(0.662510\pi\) | |||||||
\(978\) | 45.4724 | 1.45405 | ||||||||
\(979\) | −0.653731 | + | 1.13229i | −0.0208933 | + | 0.0361883i | ||||
\(980\) | −106.842 | −3.41293 | ||||||||
\(981\) | 3.98592 | 0.127261 | ||||||||
\(982\) | −12.4308 | − | 21.5308i | −0.396683 | − | 0.687075i | ||||
\(983\) | 19.4566 | 0.620569 | 0.310284 | − | 0.950644i | \(-0.399576\pi\) | ||||
0.310284 | + | 0.950644i | \(0.399576\pi\) | |||||||
\(984\) | −0.923505 | + | 1.59956i | −0.0294403 | + | 0.0509920i | ||||
\(985\) | −12.2265 | + | 21.1769i | −0.389568 | + | 0.674751i | ||||
\(986\) | 34.9355 | + | 60.5100i | 1.11257 | + | 1.92703i | ||||
\(987\) | 26.0764 | + | 45.1656i | 0.830021 | + | 1.43764i | ||||
\(988\) | 2.09955 | + | 3.63653i | 0.0667957 | + | 0.115694i | ||||
\(989\) | −16.4397 | − | 28.4745i | −0.522754 | − | 0.905436i | ||||
\(990\) | −8.63598 | −0.274469 | ||||||||
\(991\) | 52.3607 | 1.66329 | 0.831646 | − | 0.555306i | \(-0.187399\pi\) | ||||
0.831646 | + | 0.555306i | \(0.187399\pi\) | |||||||
\(992\) | −13.1897 | − | 22.8453i | −0.418774 | − | 0.725339i | ||||
\(993\) | −7.80361 | + | 13.5162i | −0.247640 | + | 0.428925i | ||||
\(994\) | −50.8972 | + | 88.1566i | −1.61436 | + | 2.79616i | ||||
\(995\) | −26.2824 | − | 45.5224i | −0.833207 | − | 1.44316i | ||||
\(996\) | 25.5542 | 0.809717 | ||||||||
\(997\) | −20.2985 | −0.642860 | −0.321430 | − | 0.946933i | \(-0.604163\pi\) | ||||
−0.321430 | + | 0.946933i | \(0.604163\pi\) | |||||||
\(998\) | −24.7603 | + | 42.8862i | −0.783775 | + | 1.35754i | ||||
\(999\) | −2.61310 | − | 4.52603i | −0.0826749 | − | 0.143197i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.2.e.b.37.5 | ✓ | 10 | |
3.2 | odd | 2 | 603.2.g.g.37.1 | 10 | |||
67.29 | even | 3 | inner | 201.2.e.b.163.5 | yes | 10 | |
201.29 | odd | 6 | 603.2.g.g.163.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.e.b.37.5 | ✓ | 10 | 1.1 | even | 1 | trivial | |
201.2.e.b.163.5 | yes | 10 | 67.29 | even | 3 | inner | |
603.2.g.g.37.1 | 10 | 3.2 | odd | 2 | |||
603.2.g.g.163.1 | 10 | 201.29 | odd | 6 |