Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(19,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.k (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 21x^{14} + 227x^{12} - 1488x^{10} + 24225x^{8} - 62832x^{6} + 64372x^{4} + 7986x^{2} + 14641 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 73.2 | ||
Root | \(1.32111 - 0.429256i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.73 |
Dual form | 99.3.k.b.19.2 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.816494 | + | 1.12381i | −0.408247 | + | 0.561904i | −0.962790 | − | 0.270252i | \(-0.912893\pi\) |
0.554543 | + | 0.832155i | \(0.312893\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.639787 | + | 1.96906i | 0.159947 | + | 0.492266i | ||||
\(5\) | −3.53770 | + | 2.57029i | −0.707540 | + | 0.514058i | −0.882379 | − | 0.470539i | \(-0.844060\pi\) |
0.174839 | + | 0.984597i | \(0.444060\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.582836 | − | 0.189375i | 0.0832623 | − | 0.0270536i | −0.267090 | − | 0.963672i | \(-0.586062\pi\) |
0.350352 | + | 0.936618i | \(0.386062\pi\) | |||||||
\(8\) | −8.01969 | − | 2.60575i | −1.00246 | − | 0.325719i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 6.07432i | − | 0.607432i | ||||||
\(11\) | −4.81000 | + | 9.89262i | −0.437273 | + | 0.899329i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.26002 | + | 7.23980i | −0.404617 | + | 0.556907i | −0.961895 | − | 0.273418i | \(-0.911846\pi\) |
0.557278 | + | 0.830326i | \(0.311846\pi\) | |||||||
\(14\) | −0.263061 | + | 0.809619i | −0.0187901 | + | 0.0578299i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.77645 | − | 2.01721i | 0.173528 | − | 0.126075i | ||||
\(17\) | 1.74830 | + | 2.40633i | 0.102841 | + | 0.141549i | 0.857336 | − | 0.514757i | \(-0.172118\pi\) |
−0.754495 | + | 0.656306i | \(0.772118\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −9.51507 | − | 3.09163i | −0.500793 | − | 0.162718i | 0.0477179 | − | 0.998861i | \(-0.484805\pi\) |
−0.548511 | + | 0.836143i | \(0.684805\pi\) | |||||||
\(20\) | −7.32444 | − | 5.32152i | −0.366222 | − | 0.266076i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.19005 | − | 13.4828i | −0.326821 | − | 0.612853i | ||||
\(23\) | 28.6467 | 1.24551 | 0.622755 | − | 0.782417i | \(-0.286013\pi\) | ||||
0.622755 | + | 0.782417i | \(0.286013\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.81649 | + | 5.59057i | −0.0726595 | + | 0.223623i | ||||
\(26\) | −3.84136 | − | 11.8225i | −0.147745 | − | 0.454711i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.745782 | + | 1.02648i | 0.0266351 | + | 0.0366601i | ||||
\(29\) | 33.6548 | − | 10.9351i | 1.16051 | − | 0.377073i | 0.335418 | − | 0.942069i | \(-0.391122\pi\) |
0.825093 | + | 0.564996i | \(0.191122\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 40.7514 | + | 29.6076i | 1.31456 | + | 0.955084i | 0.999983 | + | 0.00585268i | \(0.00186298\pi\) |
0.314578 | + | 0.949232i | \(0.398137\pi\) | |||||||
\(32\) | − | 28.9624i | − | 0.905074i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.13173 | −0.121521 | ||||||||
\(35\) | −1.57515 | + | 2.16801i | −0.0450043 | + | 0.0619431i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.539730 | + | 1.66112i | 0.0145873 | + | 0.0448951i | 0.958085 | − | 0.286483i | \(-0.0924863\pi\) |
−0.943498 | + | 0.331378i | \(0.892486\pi\) | |||||||
\(38\) | 11.2434 | − | 8.16880i | 0.295879 | − | 0.214969i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 35.0688 | − | 11.3945i | 0.876720 | − | 0.284864i | ||||
\(41\) | 56.5662 | + | 18.3795i | 1.37966 | + | 0.448279i | 0.902558 | − | 0.430567i | \(-0.141687\pi\) |
0.477104 | + | 0.878847i | \(0.341687\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 43.6490i | − | 1.01509i | −0.861625 | − | 0.507546i | \(-0.830553\pi\) | ||
0.861625 | − | 0.507546i | \(-0.169447\pi\) | |||||||
\(44\) | −22.5566 | − | 3.14203i | −0.512649 | − | 0.0714098i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −23.3899 | + | 32.1934i | −0.508476 | + | 0.699857i | ||||
\(47\) | −12.8450 | + | 39.5329i | −0.273298 | + | 0.841126i | 0.716366 | + | 0.697725i | \(0.245804\pi\) |
−0.989665 | + | 0.143402i | \(0.954196\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −39.3380 | + | 28.5807i | −0.802816 | + | 0.583280i | ||||
\(50\) | −4.79957 | − | 6.60605i | −0.0959915 | − | 0.132121i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −17.6209 | − | 5.72538i | −0.338864 | − | 0.110103i | ||||
\(53\) | −53.0919 | − | 38.5735i | −1.00173 | − | 0.727802i | −0.0392742 | − | 0.999228i | \(-0.512505\pi\) |
−0.962459 | + | 0.271427i | \(0.912505\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.41054 | − | 47.3602i | −0.152919 | − | 0.861095i | ||||
\(56\) | −5.16763 | −0.0922791 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −15.1900 | + | 46.7500i | −0.261896 | + | 0.806035i | ||||
\(59\) | 17.4262 | + | 53.6322i | 0.295359 | + | 0.909021i | 0.983101 | + | 0.183066i | \(0.0586021\pi\) |
−0.687742 | + | 0.725955i | \(0.741398\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −50.2917 | − | 69.2205i | −0.824454 | − | 1.13476i | −0.988930 | − | 0.148382i | \(-0.952593\pi\) |
0.164477 | − | 0.986381i | \(-0.447407\pi\) | |||||||
\(62\) | −66.5465 | + | 21.6223i | −1.07333 | + | 0.348746i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 43.6539 | + | 31.7164i | 0.682092 | + | 0.495569i | ||||
\(65\) | − | 39.1320i | − | 0.602031i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 27.8960 | 0.416359 | 0.208179 | − | 0.978091i | \(-0.433246\pi\) | ||||
0.208179 | + | 0.978091i | \(0.433246\pi\) | |||||||
\(68\) | −3.61967 | + | 4.98205i | −0.0532305 | + | 0.0732655i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.15032 | − | 3.54033i | −0.0164332 | − | 0.0505762i | ||||
\(71\) | −95.3640 | + | 69.2860i | −1.34316 | + | 0.975859i | −0.343834 | + | 0.939031i | \(0.611726\pi\) |
−0.999322 | + | 0.0368288i | \(0.988274\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 112.296 | − | 36.4872i | 1.53830 | − | 0.499824i | 0.587394 | − | 0.809301i | \(-0.300154\pi\) |
0.950907 | + | 0.309477i | \(0.100154\pi\) | |||||||
\(74\) | −2.30746 | − | 0.749741i | −0.0311820 | − | 0.0101316i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 20.7138i | − | 0.272550i | ||||||
\(77\) | −0.930031 | + | 6.67667i | −0.0120783 | + | 0.0867100i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −73.5080 | + | 101.175i | −0.930481 | + | 1.28070i | 0.0291902 | + | 0.999574i | \(0.490707\pi\) |
−0.959672 | + | 0.281124i | \(0.909293\pi\) | |||||||
\(80\) | −4.63743 | + | 14.2726i | −0.0579679 | + | 0.178407i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −66.8409 | + | 48.5627i | −0.815133 | + | 0.592229i | ||||
\(83\) | −19.2057 | − | 26.4344i | −0.231394 | − | 0.318487i | 0.677493 | − | 0.735530i | \(-0.263067\pi\) |
−0.908887 | + | 0.417043i | \(0.863067\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.3699 | − | 4.01923i | −0.145529 | − | 0.0472851i | ||||
\(86\) | 49.0530 | + | 35.6391i | 0.570384 | + | 0.414408i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 64.3525 | − | 66.8020i | 0.731278 | − | 0.759114i | ||||
\(89\) | −19.9195 | −0.223815 | −0.111908 | − | 0.993719i | \(-0.535696\pi\) | ||||
−0.111908 | + | 0.993719i | \(0.535696\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.69469 | + | 5.21573i | −0.0186230 | + | 0.0573157i | ||||
\(92\) | 18.3278 | + | 56.4072i | 0.199215 | + | 0.613122i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −33.9395 | − | 46.7137i | −0.361059 | − | 0.496954i | ||||
\(95\) | 41.6079 | − | 13.5192i | 0.437978 | − | 0.142308i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 141.636 | + | 102.905i | 1.46017 | + | 1.06087i | 0.983320 | + | 0.181886i | \(0.0582203\pi\) |
0.476847 | + | 0.878986i | \(0.341780\pi\) | |||||||
\(98\) | − | 67.5443i | − | 0.689228i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −12.1704 | −0.121704 | ||||||||
\(101\) | 49.7038 | − | 68.4113i | 0.492116 | − | 0.677340i | −0.488660 | − | 0.872474i | \(-0.662514\pi\) |
0.980777 | + | 0.195134i | \(0.0625142\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.94484 | − | 30.6071i | −0.0965519 | − | 0.297156i | 0.891103 | − | 0.453801i | \(-0.149932\pi\) |
−0.987655 | + | 0.156645i | \(0.949932\pi\) | |||||||
\(104\) | 61.0488 | − | 44.3546i | 0.587008 | − | 0.426486i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 86.6983 | − | 28.1700i | 0.817909 | − | 0.265755i | ||||
\(107\) | −40.8441 | − | 13.2711i | −0.381721 | − | 0.124029i | 0.111870 | − | 0.993723i | \(-0.464316\pi\) |
−0.493591 | + | 0.869694i | \(0.664316\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 18.6259i | − | 0.170879i | −0.996343 | − | 0.0854397i | \(-0.972770\pi\) | ||
0.996343 | − | 0.0854397i | \(-0.0272295\pi\) | |||||||
\(110\) | 60.0909 | + | 29.2175i | 0.546281 | + | 0.265614i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.23621 | − | 1.70149i | 0.0110375 | − | 0.0151919i | ||||
\(113\) | 51.9969 | − | 160.030i | 0.460149 | − | 1.41619i | −0.404832 | − | 0.914391i | \(-0.632670\pi\) |
0.864982 | − | 0.501803i | \(-0.167330\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −101.344 | + | 73.6304i | −0.881249 | + | 0.640265i | ||||
\(116\) | 43.0639 | + | 59.2724i | 0.371240 | + | 0.510969i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −74.5006 | − | 24.2067i | −0.631361 | − | 0.205142i | ||||
\(119\) | 1.47467 | + | 1.07141i | 0.0123922 | + | 0.00900346i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −74.7277 | − | 95.1671i | −0.617584 | − | 0.786505i | ||||
\(122\) | 118.853 | 0.974208 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −32.2270 | + | 99.1846i | −0.259896 | + | 0.799876i | ||||
\(125\) | −41.7252 | − | 128.417i | −0.333802 | − | 1.02734i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −56.1647 | − | 77.3041i | −0.442242 | − | 0.608693i | 0.528467 | − | 0.848954i | \(-0.322767\pi\) |
−0.970708 | + | 0.240261i | \(0.922767\pi\) | |||||||
\(128\) | 38.8931 | − | 12.6371i | 0.303852 | − | 0.0987277i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 43.9768 | + | 31.9510i | 0.338283 | + | 0.245777i | ||||
\(131\) | 201.569i | 1.53869i | 0.638833 | + | 0.769346i | \(0.279418\pi\) | ||||
−0.638833 | + | 0.769346i | \(0.720582\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.13120 | −0.0460993 | ||||||||
\(134\) | −22.7769 | + | 31.3497i | −0.169977 | + | 0.233953i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.75052 | − | 23.8537i | −0.0569891 | − | 0.175395i | ||||
\(137\) | 106.735 | − | 77.5473i | 0.779085 | − | 0.566039i | −0.125619 | − | 0.992079i | \(-0.540092\pi\) |
0.904704 | + | 0.426040i | \(0.140092\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 53.2373 | − | 17.2978i | 0.383002 | − | 0.124445i | −0.111187 | − | 0.993800i | \(-0.535465\pi\) |
0.494189 | + | 0.869355i | \(0.335465\pi\) | |||||||
\(140\) | −5.27671 | − | 1.71451i | −0.0376908 | − | 0.0122465i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 163.742i | − | 1.15312i | ||||||
\(143\) | −46.3198 | − | 86.8588i | −0.323915 | − | 0.607404i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −90.9543 | + | 125.188i | −0.627271 | + | 0.863365i | ||||
\(146\) | −50.6844 | + | 155.991i | −0.347153 | + | 1.06843i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.92554 | + | 2.12553i | −0.0197671 | + | 0.0143617i | ||||
\(149\) | −17.8569 | − | 24.5779i | −0.119845 | − | 0.164952i | 0.744879 | − | 0.667199i | \(-0.232507\pi\) |
−0.864724 | + | 0.502247i | \(0.832507\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 107.960 | + | 35.0785i | 0.714970 | + | 0.232308i | 0.643841 | − | 0.765159i | \(-0.277340\pi\) |
0.0711288 | + | 0.997467i | \(0.477340\pi\) | |||||||
\(152\) | 68.2518 | + | 49.5879i | 0.449025 | + | 0.326236i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.74392 | − | 6.49663i | −0.0437917 | − | 0.0421859i | ||||
\(155\) | −220.266 | −1.42107 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.92048 | − | 21.2991i | 0.0440795 | − | 0.135663i | −0.926595 | − | 0.376061i | \(-0.877278\pi\) |
0.970674 | + | 0.240399i | \(0.0772782\pi\) | |||||||
\(158\) | −53.6825 | − | 165.218i | −0.339763 | − | 1.04568i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 74.4417 | + | 102.460i | 0.465261 | + | 0.640376i | ||||
\(161\) | 16.6963 | − | 5.42497i | 0.103704 | − | 0.0336955i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 103.016 | + | 74.8454i | 0.631999 | + | 0.459174i | 0.857092 | − | 0.515163i | \(-0.172269\pi\) |
−0.225093 | + | 0.974337i | \(0.572269\pi\) | |||||||
\(164\) | 123.141i | 0.750862i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 45.3886 | 0.273425 | ||||||||
\(167\) | −145.852 | + | 200.748i | −0.873366 | + | 1.20208i | 0.104849 | + | 0.994488i | \(0.466564\pi\) |
−0.978215 | + | 0.207597i | \(0.933436\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 27.4770 | + | 84.5656i | 0.162586 | + | 0.500388i | ||||
\(170\) | 14.6168 | − | 10.6197i | 0.0859813 | − | 0.0624690i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 85.9476 | − | 27.9261i | 0.499695 | − | 0.162361i | ||||
\(173\) | −178.298 | − | 57.9327i | −1.03063 | − | 0.334871i | −0.255589 | − | 0.966786i | \(-0.582269\pi\) |
−0.775038 | + | 0.631915i | \(0.782269\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.60238i | 0.0205850i | ||||||||
\(176\) | 6.60073 | + | 37.1691i | 0.0375042 | + | 0.211188i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 16.2642 | − | 22.3857i | 0.0913718 | − | 0.125762i | ||||
\(179\) | 7.11182 | − | 21.8879i | 0.0397308 | − | 0.122279i | −0.929224 | − | 0.369517i | \(-0.879523\pi\) |
0.968955 | + | 0.247238i | \(0.0795231\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 112.686 | − | 81.8714i | 0.622576 | − | 0.452328i | −0.231244 | − | 0.972896i | \(-0.574280\pi\) |
0.853820 | + | 0.520568i | \(0.174280\pi\) | |||||||
\(182\) | −4.47777 | − | 6.16312i | −0.0246031 | − | 0.0338633i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −229.738 | − | 74.6463i | −1.24858 | − | 0.405687i | ||||
\(185\) | −6.17897 | − | 4.48928i | −0.0333998 | − | 0.0242664i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −32.2142 | + | 5.72081i | −0.172269 | + | 0.0305926i | ||||
\(188\) | −86.0609 | −0.457771 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.7796 | + | 57.7976i | −0.0988398 | + | 0.304198i | ||||
\(191\) | 27.0541 | + | 83.2638i | 0.141644 | + | 0.435936i | 0.996564 | − | 0.0828237i | \(-0.0263938\pi\) |
−0.854920 | + | 0.518760i | \(0.826394\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −82.9341 | − | 114.149i | −0.429710 | − | 0.591446i | 0.538176 | − | 0.842832i | \(-0.319113\pi\) |
−0.967887 | + | 0.251387i | \(0.919113\pi\) | |||||||
\(194\) | −231.290 | + | 75.1507i | −1.19222 | + | 0.387375i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −81.4452 | − | 59.1734i | −0.415537 | − | 0.301905i | ||||
\(197\) | 180.754i | 0.917532i | 0.888557 | + | 0.458766i | \(0.151708\pi\) | ||||
−0.888557 | + | 0.458766i | \(0.848292\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 57.3438 | 0.288160 | 0.144080 | − | 0.989566i | \(-0.453978\pi\) | ||||
0.144080 | + | 0.989566i | \(0.453978\pi\) | |||||||
\(200\) | 29.1353 | − | 40.1013i | 0.145677 | − | 0.200507i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 36.2984 | + | 111.715i | 0.179695 | + | 0.553044i | ||||
\(203\) | 17.5444 | − | 12.7468i | 0.0864257 | − | 0.0627919i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −247.355 | + | 80.3704i | −1.20661 | + | 0.392051i | ||||
\(206\) | 42.5163 | + | 13.8144i | 0.206390 | + | 0.0670602i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 30.7115i | 0.147651i | ||||||||
\(209\) | 76.3519 | − | 79.2582i | 0.365320 | − | 0.379226i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −32.2024 | + | 44.3228i | −0.152618 | + | 0.210061i | −0.878479 | − | 0.477781i | \(-0.841441\pi\) |
0.725861 | + | 0.687841i | \(0.241441\pi\) | |||||||
\(212\) | 41.9862 | − | 129.220i | 0.198048 | − | 0.609529i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 48.2631 | − | 35.0652i | 0.225528 | − | 0.163856i | ||||
\(215\) | 112.191 | + | 154.417i | 0.521816 | + | 0.718219i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 29.3583 | + | 9.53910i | 0.135292 | + | 0.0439590i | ||||
\(218\) | 20.9319 | + | 15.2079i | 0.0960178 | + | 0.0697610i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 87.8743 | − | 46.8614i | 0.399429 | − | 0.213006i | ||||
\(221\) | −26.6174 | −0.120441 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 90.5096 | − | 278.560i | 0.405873 | − | 1.24915i | −0.514292 | − | 0.857615i | \(-0.671945\pi\) |
0.920164 | − | 0.391532i | \(-0.128055\pi\) | |||||||
\(224\) | −5.48475 | − | 16.8803i | −0.0244855 | − | 0.0753585i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 137.388 | + | 189.098i | 0.607910 | + | 0.836717i | ||||
\(227\) | 82.0064 | − | 26.6455i | 0.361262 | − | 0.117381i | −0.122762 | − | 0.992436i | \(-0.539175\pi\) |
0.484023 | + | 0.875055i | \(0.339175\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −40.6339 | − | 29.5223i | −0.177441 | − | 0.128918i | 0.495520 | − | 0.868597i | \(-0.334978\pi\) |
−0.672961 | + | 0.739678i | \(0.734978\pi\) | |||||||
\(230\) | − | 174.009i | − | 0.756563i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −298.396 | −1.28619 | ||||||||
\(233\) | 251.058 | − | 345.551i | 1.07750 | − | 1.48305i | 0.215257 | − | 0.976558i | \(-0.430941\pi\) |
0.862243 | − | 0.506494i | \(-0.169059\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −56.1692 | − | 172.871i | −0.239018 | − | 0.735622i | ||||
\(236\) | −94.4562 | + | 68.6265i | −0.400238 | + | 0.290790i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.40812 | + | 0.782445i | −0.0101181 | + | 0.00328759i | ||||
\(239\) | 18.1556 | + | 5.89911i | 0.0759648 | + | 0.0246825i | 0.346753 | − | 0.937957i | \(-0.387284\pi\) |
−0.270788 | + | 0.962639i | \(0.587284\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 53.8901i | 0.223611i | 0.993730 | + | 0.111805i | \(0.0356633\pi\) | ||||
−0.993730 | + | 0.111805i | \(0.964337\pi\) | |||||||
\(242\) | 167.964 | − | 6.27624i | 0.694067 | − | 0.0259349i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 104.124 | − | 143.314i | 0.426736 | − | 0.587352i | ||||
\(245\) | 65.7053 | − | 202.220i | 0.268185 | − | 0.825388i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 72.4322 | − | 52.6251i | 0.293248 | − | 0.213057i | ||||
\(248\) | −249.663 | − | 343.632i | −1.00671 | − | 1.38561i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 178.384 | + | 57.9606i | 0.713538 | + | 0.231842i | ||||
\(251\) | 323.284 | + | 234.879i | 1.28798 | + | 0.935775i | 0.999763 | − | 0.0217890i | \(-0.00693621\pi\) |
0.288221 | + | 0.957564i | \(0.406936\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −137.791 | + | 283.391i | −0.544628 | + | 1.12012i | ||||
\(254\) | 132.733 | 0.522571 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −84.2515 | + | 259.299i | −0.329107 | + | 1.01289i | ||||
\(257\) | 141.664 | + | 435.996i | 0.551221 | + | 1.69648i | 0.705721 | + | 0.708490i | \(0.250623\pi\) |
−0.154500 | + | 0.987993i | \(0.549377\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.629149 | + | 0.865949i | 0.00242915 | + | 0.00334343i | ||||
\(260\) | 77.0534 | − | 25.0362i | 0.296359 | − | 0.0962930i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −226.524 | − | 164.579i | −0.864596 | − | 0.628166i | ||||
\(263\) | − | 262.279i | − | 0.997259i | −0.866815 | − | 0.498630i | \(-0.833837\pi\) | ||
0.866815 | − | 0.498630i | \(-0.166163\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 286.968 | 1.08290 | ||||||||
\(266\) | 5.00609 | − | 6.89029i | 0.0188199 | − | 0.0259033i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 17.8475 | + | 54.9290i | 0.0665952 | + | 0.204959i | ||||
\(269\) | 58.7944 | − | 42.7166i | 0.218566 | − | 0.158798i | −0.473115 | − | 0.881001i | \(-0.656870\pi\) |
0.691681 | + | 0.722203i | \(0.256870\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −191.391 | + | 62.1866i | −0.706238 | + | 0.229471i | −0.640047 | − | 0.768336i | \(-0.721085\pi\) |
−0.0661919 | + | 0.997807i | \(0.521085\pi\) | |||||||
\(272\) | 9.70813 | + | 3.15436i | 0.0356917 | + | 0.0115969i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 183.266i | 0.668854i | ||||||||
\(275\) | −46.5681 | − | 44.8605i | −0.169338 | − | 0.163129i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 209.870 | − | 288.862i | 0.757655 | − | 1.04282i | −0.239751 | − | 0.970835i | \(-0.577066\pi\) |
0.997405 | − | 0.0719881i | \(-0.0229344\pi\) | |||||||
\(278\) | −24.0285 | + | 73.9520i | −0.0864333 | + | 0.266014i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 18.2815 | − | 13.2823i | 0.0652912 | − | 0.0474368i | ||||
\(281\) | 162.502 | + | 223.665i | 0.578300 | + | 0.795962i | 0.993508 | − | 0.113765i | \(-0.0362910\pi\) |
−0.415207 | + | 0.909727i | \(0.636291\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 272.768 | + | 88.6277i | 0.963844 | + | 0.313172i | 0.748328 | − | 0.663328i | \(-0.230857\pi\) |
0.215516 | + | 0.976500i | \(0.430857\pi\) | |||||||
\(284\) | −197.441 | − | 143.449i | −0.695216 | − | 0.505104i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 135.432 | + | 18.8651i | 0.473540 | + | 0.0659620i | ||||
\(287\) | 36.4494 | 0.127001 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 86.5720 | − | 266.441i | 0.299557 | − | 0.921942i | ||||
\(290\) | −66.4234 | − | 204.430i | −0.229046 | − | 0.704932i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 143.691 | + | 197.774i | 0.492093 | + | 0.677308i | ||||
\(293\) | −141.720 | + | 46.0477i | −0.483687 | + | 0.157160i | −0.540703 | − | 0.841214i | \(-0.681842\pi\) |
0.0570154 | + | 0.998373i | \(0.481842\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −199.499 | − | 144.945i | −0.676268 | − | 0.491337i | ||||
\(296\) | − | 14.7281i | − | 0.0497570i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 42.2009 | 0.141614 | ||||||||
\(299\) | −150.682 | + | 207.397i | −0.503954 | + | 0.693634i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.26602 | − | 25.4402i | −0.0274619 | − | 0.0845189i | ||||
\(302\) | −127.570 | + | 92.6853i | −0.422419 | + | 0.306905i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −32.6546 | + | 10.6101i | −0.107416 | + | 0.0349017i | ||||
\(305\) | 355.834 | + | 115.617i | 1.16667 | + | 0.379073i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 277.276i | 0.903179i | 0.892226 | + | 0.451590i | \(0.149143\pi\) | ||||
−0.892226 | + | 0.451590i | \(0.850857\pi\) | |||||||
\(308\) | −13.7418 | + | 2.44036i | −0.0446162 | + | 0.00792324i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 179.846 | − | 247.537i | 0.580149 | − | 0.798506i | ||||
\(311\) | −64.7940 | + | 199.415i | −0.208341 | + | 0.641207i | 0.791219 | + | 0.611533i | \(0.209447\pi\) |
−0.999560 | + | 0.0296738i | \(0.990553\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −86.4426 | + | 62.8042i | −0.276174 | + | 0.200652i | −0.717247 | − | 0.696819i | \(-0.754598\pi\) |
0.441073 | + | 0.897471i | \(0.354598\pi\) | |||||||
\(314\) | 18.2855 | + | 25.1678i | 0.0582341 | + | 0.0801523i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −246.250 | − | 80.0114i | −0.779271 | − | 0.253201i | ||||
\(317\) | −396.169 | − | 287.833i | −1.24974 | − | 0.907992i | −0.251537 | − | 0.967848i | \(-0.580936\pi\) |
−0.998207 | + | 0.0598560i | \(0.980936\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −53.7030 | + | 385.532i | −0.168348 | + | 1.20857i | ||||
\(320\) | −235.955 | −0.737359 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.53584 | + | 23.1929i | −0.0234032 | + | 0.0720277i | ||||
\(323\) | −9.19571 | − | 28.3015i | −0.0284697 | − | 0.0876207i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −30.9198 | − | 42.5575i | −0.0951380 | − | 0.130946i | ||||
\(326\) | −168.224 | + | 54.6592i | −0.516023 | + | 0.167666i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −405.751 | − | 294.795i | −1.23704 | − | 0.898765i | ||||
\(329\) | 25.4737i | 0.0774278i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −333.988 | −1.00903 | −0.504514 | − | 0.863404i | \(-0.668328\pi\) | ||||
−0.504514 | + | 0.863404i | \(0.668328\pi\) | |||||||
\(332\) | 39.7635 | − | 54.7297i | 0.119770 | − | 0.164849i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −106.515 | − | 327.819i | −0.318907 | − | 0.981495i | ||||
\(335\) | −98.6878 | + | 71.7009i | −0.294590 | + | 0.214032i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −476.898 | + | 154.953i | −1.41513 | + | 0.459802i | −0.914050 | − | 0.405601i | \(-0.867062\pi\) |
−0.501076 | + | 0.865403i | \(0.667062\pi\) | |||||||
\(338\) | −117.470 | − | 38.1684i | −0.347545 | − | 0.112924i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 26.9286i | − | 0.0792019i | ||||||
\(341\) | −488.911 | + | 260.725i | −1.43376 | + | 0.764590i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −35.1655 | + | 48.4012i | −0.102523 | + | 0.141111i | ||||
\(344\) | −113.738 | + | 350.051i | −0.330635 | + | 1.01759i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 210.685 | − | 153.071i | 0.608915 | − | 0.442403i | ||||
\(347\) | −119.783 | − | 164.867i | −0.345195 | − | 0.475120i | 0.600755 | − | 0.799433i | \(-0.294867\pi\) |
−0.945950 | + | 0.324313i | \(0.894867\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 401.860 | + | 130.572i | 1.15146 | + | 0.374133i | 0.821694 | − | 0.569929i | \(-0.193029\pi\) |
0.329768 | + | 0.944062i | \(0.393029\pi\) | |||||||
\(350\) | −4.04838 | − | 2.94132i | −0.0115668 | − | 0.00840378i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 286.514 | + | 139.309i | 0.813959 | + | 0.395765i | ||||
\(353\) | 314.375 | 0.890581 | 0.445290 | − | 0.895386i | \(-0.353100\pi\) | ||||
0.445290 | + | 0.895386i | \(0.353100\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 159.284 | − | 490.226i | 0.448688 | − | 1.38092i | ||||
\(356\) | −12.7443 | − | 39.2228i | −0.0357985 | − | 0.110177i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.7910 | + | 25.8637i | 0.0524890 | + | 0.0722448i | ||||
\(359\) | 394.595 | − | 128.212i | 1.09915 | − | 0.357135i | 0.297375 | − | 0.954761i | \(-0.403889\pi\) |
0.801775 | + | 0.597625i | \(0.203889\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −211.077 | − | 153.356i | −0.584700 | − | 0.424810i | ||||
\(362\) | 193.485i | 0.534489i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.3543 | −0.0311933 | ||||||||
\(365\) | −303.487 | + | 417.714i | −0.831471 | + | 1.14442i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 143.075 | + | 440.338i | 0.389849 | + | 1.19983i | 0.932901 | + | 0.360133i | \(0.117269\pi\) |
−0.543052 | + | 0.839699i | \(0.682731\pi\) | |||||||
\(368\) | 79.5362 | − | 57.7864i | 0.216131 | − | 0.157028i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.0902 | − | 3.27850i | 0.0272707 | − | 0.00886080i | ||||
\(371\) | −38.2487 | − | 12.4278i | −0.103096 | − | 0.0334980i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 656.230i | 1.75933i | 0.475594 | + | 0.879665i | \(0.342233\pi\) | ||||
−0.475594 | + | 0.879665i | \(0.657767\pi\) | |||||||
\(374\) | 19.8736 | − | 40.8736i | 0.0531380 | − | 0.109288i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 206.026 | − | 283.571i | 0.547942 | − | 0.754177i | ||||
\(377\) | −97.8571 | + | 301.173i | −0.259568 | + | 0.798868i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 364.869 | − | 265.093i | 0.962715 | − | 0.699453i | 0.00893516 | − | 0.999960i | \(-0.497156\pi\) |
0.953780 | + | 0.300507i | \(0.0971558\pi\) | |||||||
\(380\) | 53.2404 | + | 73.2791i | 0.140106 | + | 0.192840i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −115.662 | − | 37.5808i | −0.302780 | − | 0.0983792i | ||||
\(383\) | −255.582 | − | 185.691i | −0.667315 | − | 0.484833i | 0.201810 | − | 0.979425i | \(-0.435318\pi\) |
−0.869125 | + | 0.494592i | \(0.835318\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.8708 | − | 26.0105i | −0.0360281 | − | 0.0675598i | ||||
\(386\) | 195.997 | 0.507763 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −112.009 | + | 344.728i | −0.288682 | + | 0.888473i | ||||
\(389\) | −66.2453 | − | 203.882i | −0.170296 | − | 0.524119i | 0.829091 | − | 0.559114i | \(-0.188858\pi\) |
−0.999387 | + | 0.0349951i | \(0.988858\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 50.0831 | + | 68.9335i | 0.128090 | + | 0.176300i | ||||
\(392\) | 389.953 | − | 126.703i | 0.994778 | − | 0.323223i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −203.132 | − | 147.584i | −0.515564 | − | 0.374579i | ||||
\(395\) | − | 546.864i | − | 1.38447i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 369.231 | 0.930052 | 0.465026 | − | 0.885297i | \(-0.346045\pi\) | ||||
0.465026 | + | 0.885297i | \(0.346045\pi\) | |||||||
\(398\) | −46.8209 | + | 64.4434i | −0.117640 | + | 0.161918i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6.23396 | + | 19.1862i | 0.0155849 | + | 0.0479654i | ||||
\(401\) | 90.1495 | − | 65.4975i | 0.224812 | − | 0.163335i | −0.469678 | − | 0.882838i | \(-0.655630\pi\) |
0.694490 | + | 0.719502i | \(0.255630\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −428.706 | + | 139.295i | −1.06379 | + | 0.345645i | ||||
\(404\) | 166.506 | + | 54.1011i | 0.412144 | + | 0.133914i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 30.1242i | 0.0741975i | ||||||||
\(407\) | −19.0289 | − | 2.65065i | −0.0467541 | − | 0.00651264i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 119.418 | − | 164.365i | 0.291976 | − | 0.401870i | −0.637679 | − | 0.770302i | \(-0.720105\pi\) |
0.929655 | + | 0.368432i | \(0.120105\pi\) | |||||||
\(410\) | 111.643 | − | 343.601i | 0.272299 | − | 0.838051i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 53.9047 | − | 39.1640i | 0.130837 | − | 0.0950584i | ||||
\(413\) | 20.3132 | + | 27.9587i | 0.0491845 | + | 0.0676967i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 135.888 | + | 44.1528i | 0.327442 | + | 0.106392i | ||||
\(416\) | 209.682 | + | 152.343i | 0.504042 | + | 0.366208i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 26.7301 | + | 150.519i | 0.0639475 | + | 0.360092i | ||||
\(419\) | 519.060 | 1.23881 | 0.619404 | − | 0.785073i | \(-0.287374\pi\) | ||||
0.619404 | + | 0.785073i | \(0.287374\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 103.047 | − | 317.147i | 0.244768 | − | 0.753317i | −0.750907 | − | 0.660408i | \(-0.770383\pi\) |
0.995675 | − | 0.0929092i | \(-0.0296166\pi\) | |||||||
\(422\) | −23.5172 | − | 72.3785i | −0.0557280 | − | 0.171513i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 325.267 | + | 447.692i | 0.767139 | + | 1.05588i | ||||
\(425\) | −16.6285 | + | 5.40293i | −0.0391259 | + | 0.0127128i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −42.4204 | − | 30.8202i | −0.0993453 | − | 0.0721786i | ||||
\(428\) | − | 88.9153i | − | 0.207746i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −265.138 | −0.616599 | ||||||||
\(431\) | 430.041 | − | 591.901i | 0.997775 | − | 1.37332i | 0.0710952 | − | 0.997470i | \(-0.477351\pi\) |
0.926680 | − | 0.375851i | \(-0.122649\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −115.298 | − | 354.852i | −0.266278 | − | 0.819519i | −0.991396 | − | 0.130895i | \(-0.958215\pi\) |
0.725119 | − | 0.688624i | \(-0.241785\pi\) | |||||||
\(434\) | −34.6910 | + | 25.2045i | −0.0799331 | + | 0.0580748i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 36.6755 | − | 11.9166i | 0.0841181 | − | 0.0273316i | ||||
\(437\) | −272.576 | − | 88.5652i | −0.623743 | − | 0.202666i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 294.954i | − | 0.671878i | −0.941884 | − | 0.335939i | \(-0.890946\pi\) | ||
0.941884 | − | 0.335939i | \(-0.109054\pi\) | |||||||
\(440\) | −55.9592 | + | 401.730i | −0.127180 | + | 0.913023i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.7330 | − | 29.9129i | 0.0491696 | − | 0.0676761i | ||||
\(443\) | 156.228 | − | 480.820i | 0.352659 | − | 1.08537i | −0.604696 | − | 0.796456i | \(-0.706705\pi\) |
0.957355 | − | 0.288915i | \(-0.0932946\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 70.4694 | − | 51.1990i | 0.158358 | − | 0.115054i | ||||
\(446\) | 239.147 | + | 329.158i | 0.536204 | + | 0.738022i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 31.4494 | + | 10.2185i | 0.0701995 | + | 0.0228092i | ||||
\(449\) | 21.5081 | + | 15.6265i | 0.0479021 | + | 0.0348029i | 0.611479 | − | 0.791261i | \(-0.290575\pi\) |
−0.563577 | + | 0.826064i | \(0.690575\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −453.904 | + | 471.182i | −1.00644 | + | 1.04475i | ||||
\(452\) | 348.376 | 0.770744 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −37.0133 | + | 113.915i | −0.0815271 | + | 0.250915i | ||||
\(455\) | −7.41062 | − | 22.8076i | −0.0162871 | − | 0.0501265i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −103.859 | − | 142.950i | −0.227262 | − | 0.312800i | 0.680124 | − | 0.733097i | \(-0.261926\pi\) |
−0.907387 | + | 0.420297i | \(0.861926\pi\) | |||||||
\(458\) | 66.3547 | − | 21.5600i | 0.144879 | − | 0.0470741i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −209.821 | − | 152.444i | −0.456133 | − | 0.331400i | ||||
\(461\) | − | 155.031i | − | 0.336292i | −0.985762 | − | 0.168146i | \(-0.946222\pi\) | ||
0.985762 | − | 0.168146i | \(-0.0537781\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −192.026 | −0.414744 | −0.207372 | − | 0.978262i | \(-0.566491\pi\) | ||||
−0.207372 | + | 0.978262i | \(0.566491\pi\) | |||||||
\(464\) | 71.3825 | − | 98.2496i | 0.153842 | − | 0.211745i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 183.346 | + | 564.280i | 0.393446 | + | 1.21090i | ||||
\(467\) | −261.410 | + | 189.925i | −0.559764 | + | 0.406692i | −0.831373 | − | 0.555715i | \(-0.812444\pi\) |
0.271609 | + | 0.962408i | \(0.412444\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.2588 | − | 5.28281i | 0.0346670 | − | 0.0112640i | ||||
\(470\) | 240.136 | + | 78.0248i | 0.510927 | + | 0.166010i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 475.522i | − | 1.00746i | ||||||
\(473\) | 431.802 | + | 209.952i | 0.912902 | + | 0.443872i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.5680 | − | 47.5788i | 0.0727747 | − | 0.100166i | ||||
\(476\) | −1.16620 | + | 3.58920i | −0.00245000 | + | 0.00754033i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −21.4534 | + | 15.5868i | −0.0448815 | + | 0.0326083i | ||||
\(479\) | −269.472 | − | 370.897i | −0.562572 | − | 0.774315i | 0.429078 | − | 0.903267i | \(-0.358838\pi\) |
−0.991651 | + | 0.128953i | \(0.958838\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.8652 | − | 4.82998i | −0.0309047 | − | 0.0100415i | ||||
\(482\) | −60.5621 | − | 44.0010i | −0.125648 | − | 0.0912883i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 139.580 | − | 208.030i | 0.288389 | − | 0.429815i | ||||
\(485\) | −765.561 | −1.57848 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 76.3014 | − | 234.832i | 0.156676 | − | 0.482200i | −0.841650 | − | 0.540023i | \(-0.818416\pi\) |
0.998327 | + | 0.0578223i | \(0.0184157\pi\) | |||||||
\(488\) | 222.952 | + | 686.175i | 0.456868 | + | 1.40610i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 173.608 | + | 238.952i | 0.354303 | + | 0.487656i | ||||
\(491\) | −41.1903 | + | 13.3835i | −0.0838906 | + | 0.0272577i | −0.350662 | − | 0.936502i | \(-0.614043\pi\) |
0.266771 | + | 0.963760i | \(0.414043\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 85.1523 | + | 61.8668i | 0.172723 | + | 0.125490i | ||||
\(494\) | 124.368i | 0.251757i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 172.869 | 0.348526 | ||||||||
\(497\) | −42.4606 | + | 58.4419i | −0.0854337 | + | 0.117589i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −152.407 | − | 469.060i | −0.305425 | − | 0.940000i | −0.979518 | − | 0.201355i | \(-0.935466\pi\) |
0.674094 | − | 0.738646i | \(-0.264534\pi\) | |||||||
\(500\) | 226.166 | − | 164.319i | 0.452332 | − | 0.328639i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −527.918 | + | 171.531i | −1.05163 | + | 0.341695i | ||||
\(503\) | −284.470 | − | 92.4299i | −0.565547 | − | 0.183757i | 0.0122686 | − | 0.999925i | \(-0.496095\pi\) |
−0.577816 | + | 0.816167i | \(0.696095\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 369.772i | 0.732222i | ||||||||
\(506\) | −205.972 | − | 386.237i | −0.407058 | − | 0.763315i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 116.283 | − | 160.050i | 0.228904 | − | 0.315059i | ||||
\(509\) | −167.228 | + | 514.675i | −0.328543 | + | 1.01115i | 0.641274 | + | 0.767312i | \(0.278406\pi\) |
−0.969816 | + | 0.243838i | \(0.921594\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 58.5404 | − | 42.5321i | 0.114560 | − | 0.0832330i | ||||
\(512\) | −126.463 | − | 174.061i | −0.246997 | − | 0.339963i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −605.643 | − | 196.785i | −1.17829 | − | 0.382851i | ||||
\(515\) | 113.851 | + | 82.7176i | 0.221070 | + | 0.160617i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −329.299 | − | 317.224i | −0.636943 | − | 0.613587i | ||||
\(518\) | −1.48686 | −0.00287038 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −101.968 | + | 313.827i | −0.196093 | + | 0.603513i | ||||
\(521\) | −63.8533 | − | 196.520i | −0.122559 | − | 0.377198i | 0.870889 | − | 0.491479i | \(-0.163544\pi\) |
−0.993448 | + | 0.114281i | \(0.963544\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −33.1163 | − | 45.5807i | −0.0633199 | − | 0.0871524i | 0.776183 | − | 0.630508i | \(-0.217153\pi\) |
−0.839503 | + | 0.543356i | \(0.817153\pi\) | |||||||
\(524\) | −396.901 | + | 128.961i | −0.757445 | + | 0.246109i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 294.751 | + | 214.149i | 0.560363 | + | 0.407128i | ||||
\(527\) | 149.824i | 0.284297i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 291.635 | 0.551295 | ||||||||
\(530\) | −234.308 | + | 322.497i | −0.442090 | + | 0.608485i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.92267 | − | 12.0727i | −0.00737343 | − | 0.0226931i | ||||
\(533\) | −430.603 | + | 312.851i | −0.807885 | + | 0.586963i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 178.605 | − | 58.0322i | 0.333841 | − | 0.108471i | ||||
\(536\) | −223.717 | − | 72.6902i | −0.417383 | − | 0.135616i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 100.951i | 0.187642i | ||||||||
\(539\) | −93.5222 | − | 526.629i | −0.173511 | − | 0.977049i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −263.713 | + | 362.970i | −0.487455 | + | 0.670924i | −0.979916 | − | 0.199411i | \(-0.936097\pi\) |
0.492461 | + | 0.870334i | \(0.336097\pi\) | |||||||
\(542\) | 86.3835 | − | 265.861i | 0.159379 | − | 0.490519i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 69.6930 | − | 50.6349i | 0.128112 | − | 0.0930789i | ||||
\(545\) | 47.8739 | + | 65.8927i | 0.0878420 | + | 0.120904i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 789.192 | + | 256.424i | 1.44276 | + | 0.468782i | 0.922758 | − | 0.385380i | \(-0.125930\pi\) |
0.520006 | + | 0.854163i | \(0.325930\pi\) | |||||||
\(548\) | 220.983 | + | 160.554i | 0.403254 | + | 0.292981i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 88.4370 | − | 15.7052i | 0.160795 | − | 0.0285550i | ||||
\(551\) | −354.036 | −0.642533 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.6831 | + | 72.8891i | −0.0428266 | + | 0.131807i | ||||
\(554\) | 153.267 | + | 471.708i | 0.276655 | + | 0.851458i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 68.1211 | + | 93.7606i | 0.122520 | + | 0.168634i | ||||
\(557\) | −961.341 | + | 312.359i | −1.72593 | + | 0.560788i | −0.992851 | − | 0.119359i | \(-0.961916\pi\) |
−0.733076 | + | 0.680147i | \(0.761916\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 316.010 | + | 229.594i | 0.565312 | + | 0.410723i | ||||
\(560\) | 9.19677i | 0.0164228i | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −384.039 | −0.683343 | ||||||||
\(563\) | −4.72664 | + | 6.50566i | −0.00839545 | + | 0.0115553i | −0.813194 | − | 0.581993i | \(-0.802273\pi\) |
0.804799 | + | 0.593548i | \(0.202273\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 227.374 | + | 699.785i | 0.402432 | + | 1.23856i | ||||
\(566\) | −322.314 | + | 234.175i | −0.569459 | + | 0.413736i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 945.332 | − | 307.157i | 1.66432 | − | 0.540769i | ||||
\(569\) | 628.536 | + | 204.224i | 1.10463 | + | 0.358917i | 0.803884 | − | 0.594786i | \(-0.202763\pi\) |
0.300749 | + | 0.953703i | \(0.402763\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 472.496i | − | 0.827489i | −0.910393 | − | 0.413745i | \(-0.864221\pi\) | ||
0.910393 | − | 0.413745i | \(-0.135779\pi\) | |||||||
\(572\) | 141.396 | − | 146.778i | 0.247195 | − | 0.256605i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −29.7607 | + | 40.9621i | −0.0518479 | + | 0.0713625i | ||||
\(575\) | −52.0364 | + | 160.152i | −0.0904981 | + | 0.278524i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 156.570 | − | 113.755i | 0.271352 | − | 0.197149i | −0.443785 | − | 0.896133i | \(-0.646364\pi\) |
0.715137 | + | 0.698985i | \(0.246364\pi\) | |||||||
\(578\) | 228.743 | + | 314.838i | 0.395749 | + | 0.544702i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −304.694 | − | 99.0012i | −0.525335 | − | 0.170692i | ||||
\(581\) | −16.1998 | − | 11.7699i | −0.0278826 | − | 0.0202579i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 636.965 | − | 339.679i | 1.09256 | − | 0.582639i | ||||
\(584\) | −995.655 | −1.70489 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 63.9650 | − | 196.864i | 0.109155 | − | 0.335946i | ||||
\(587\) | −134.763 | − | 414.757i | −0.229579 | − | 0.706571i | −0.997794 | − | 0.0663796i | \(-0.978855\pi\) |
0.768216 | − | 0.640191i | \(-0.221145\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −296.216 | − | 407.707i | −0.502914 | − | 0.692202i | ||||
\(590\) | 325.779 | − | 105.852i | 0.552168 | − | 0.179410i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.84936 | + | 3.52326i | 0.00819148 | + | 0.00595146i | ||||
\(593\) | 848.153i | 1.43027i | 0.698984 | + | 0.715137i | \(0.253636\pi\) | ||||
−0.698984 | + | 0.715137i | \(0.746364\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −7.97079 | −0.0133963 | ||||||||
\(596\) | 36.9708 | − | 50.8860i | 0.0620316 | − | 0.0853792i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −110.042 | − | 338.676i | −0.184017 | − | 0.566348i | ||||
\(599\) | 824.035 | − | 598.697i | 1.37569 | − | 0.999494i | 0.378416 | − | 0.925636i | \(-0.376469\pi\) |
0.997269 | − | 0.0738582i | \(-0.0235312\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −556.691 | + | 180.880i | −0.926274 | + | 0.300965i | −0.733038 | − | 0.680188i | \(-0.761898\pi\) |
−0.193236 | + | 0.981152i | \(0.561898\pi\) | |||||||
\(602\) | 35.3390 | + | 11.4823i | 0.0587027 | + | 0.0190737i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 235.024i | 0.389112i | ||||||||
\(605\) | 508.971 | + | 144.601i | 0.841275 | + | 0.239009i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −584.796 | + | 804.902i | −0.963420 | + | 1.32603i | −0.0181180 | + | 0.999836i | \(0.505767\pi\) |
−0.945302 | + | 0.326198i | \(0.894233\pi\) | |||||||
\(608\) | −89.5410 | + | 275.579i | −0.147271 | + | 0.453255i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −420.468 | + | 305.488i | −0.689291 | + | 0.500799i | ||||
\(611\) | −218.645 | − | 300.939i | −0.357848 | − | 0.492536i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −628.757 | − | 204.295i | −1.02570 | − | 0.333272i | −0.252614 | − | 0.967567i | \(-0.581290\pi\) |
−0.773091 | + | 0.634296i | \(0.781290\pi\) | |||||||
\(614\) | −311.605 | − | 226.394i | −0.507500 | − | 0.368720i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 24.8563 | − | 51.1214i | 0.0403512 | − | 0.0829892i | ||||
\(617\) | 118.682 | 0.192354 | 0.0961770 | − | 0.995364i | \(-0.469339\pi\) | ||||
0.0961770 | + | 0.995364i | \(0.469339\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −33.3019 | + | 102.493i | −0.0537995 | + | 0.165578i | −0.974346 | − | 0.225055i | \(-0.927744\pi\) |
0.920547 | + | 0.390633i | \(0.127744\pi\) | |||||||
\(620\) | −140.924 | − | 433.719i | −0.227296 | − | 0.699546i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −171.201 | − | 235.637i | −0.275242 | − | 0.378838i | ||||
\(623\) | −11.6098 | + | 3.77226i | −0.0186354 | + | 0.00605499i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 358.790 | + | 260.676i | 0.574064 | + | 0.417082i | ||||
\(626\) | − | 148.424i | − | 0.237099i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 46.3668 | 0.0738325 | ||||||||
\(629\) | −3.05359 | + | 4.20291i | −0.00485467 | + | 0.00668188i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −145.864 | − | 448.922i | −0.231162 | − | 0.711445i | −0.997607 | − | 0.0691348i | \(-0.977976\pi\) |
0.766445 | − | 0.642310i | \(-0.222024\pi\) | |||||||
\(632\) | 853.149 | − | 619.849i | 1.34992 | − | 0.980774i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 646.938 | − | 210.203i | 1.02041 | − | 0.331551i | ||||
\(635\) | 397.388 | + | 129.119i | 0.625808 | + | 0.203337i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 435.134i | − | 0.683099i | ||||||
\(638\) | −389.416 | − | 375.137i | −0.610370 | − | 0.587988i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −105.111 | + | 144.673i | −0.164236 | + | 0.226052i | ||||
\(641\) | 182.054 | − | 560.306i | 0.284016 | − | 0.874112i | −0.702675 | − | 0.711511i | \(-0.748011\pi\) |
0.986692 | − | 0.162602i | \(-0.0519886\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −798.095 | + | 579.850i | −1.24121 | + | 0.901788i | −0.997678 | − | 0.0681057i | \(-0.978304\pi\) |
−0.243527 | + | 0.969894i | \(0.578304\pi\) | |||||||
\(644\) | 21.3642 | + | 29.4053i | 0.0331743 | + | 0.0456605i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 39.3137 | + | 12.7738i | 0.0608571 | + | 0.0197737i | ||||
\(647\) | 591.996 | + | 430.110i | 0.914986 | + | 0.664776i | 0.942271 | − | 0.334852i | \(-0.108686\pi\) |
−0.0272850 | + | 0.999628i | \(0.508686\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −614.383 | − | 85.5809i | −0.946661 | − | 0.131866i | ||||
\(650\) | 73.0723 | 0.112419 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −81.4671 | + | 250.730i | −0.124950 | + | 0.384555i | ||||
\(653\) | 32.6119 | + | 100.369i | 0.0499416 | + | 0.153705i | 0.972917 | − | 0.231154i | \(-0.0742502\pi\) |
−0.922976 | + | 0.384859i | \(0.874250\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −518.090 | − | 713.090i | −0.790977 | − | 1.08869i | ||||
\(656\) | 194.128 | − | 63.0761i | 0.295927 | − | 0.0961525i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.6276 | − | 20.7991i | −0.0435069 | − | 0.0316096i | ||||
\(659\) | 592.799i | 0.899543i | 0.893144 | + | 0.449772i | \(0.148495\pi\) | ||||
−0.893144 | + | 0.449772i | \(0.851505\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 531.402 | 0.803936 | 0.401968 | − | 0.915654i | \(-0.368326\pi\) | ||||
0.401968 | + | 0.915654i | \(0.368326\pi\) | |||||||
\(662\) | 272.699 | − | 375.338i | 0.411932 | − | 0.566976i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 85.1424 | + | 262.041i | 0.128226 | + | 0.394641i | ||||
\(665\) | 21.6904 | − | 15.7590i | 0.0326171 | − | 0.0236977i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 964.101 | − | 313.255i | 1.44543 | − | 0.469648i | ||||
\(668\) | −488.600 | − | 158.756i | −0.731437 | − | 0.237658i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 169.449i | − | 0.252910i | ||||||
\(671\) | 926.675 | − | 164.565i | 1.38104 | − | 0.245253i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 279.252 | − | 384.357i | 0.414936 | − | 0.571110i | −0.549478 | − | 0.835508i | \(-0.685173\pi\) |
0.964414 | + | 0.264398i | \(0.0851733\pi\) | |||||||
\(674\) | 215.246 | − | 662.459i | 0.319356 | − | 0.982877i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −148.936 | + | 108.208i | −0.220319 | + | 0.160071i | ||||
\(677\) | −123.302 | − | 169.711i | −0.182130 | − | 0.250681i | 0.708183 | − | 0.706029i | \(-0.249515\pi\) |
−0.890314 | + | 0.455348i | \(0.849515\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 102.038 | + | 33.1542i | 0.150277 | + | 0.0488280i | ||||
\(680\) | 88.7299 | + | 64.4660i | 0.130485 | + | 0.0948030i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 106.188 | − | 762.322i | 0.155701 | − | 1.11777i | ||||
\(683\) | 661.462 | 0.968466 | 0.484233 | − | 0.874939i | \(-0.339099\pi\) | ||||
0.484233 | + | 0.874939i | \(0.339099\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −178.276 | + | 548.678i | −0.260258 | + | 0.800990i | ||||
\(686\) | −25.6812 | − | 79.0386i | −0.0374361 | − | 0.115217i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −88.0490 | − | 121.189i | −0.127978 | − | 0.176147i | ||||
\(689\) | 558.529 | − | 181.477i | 0.810637 | − | 0.263392i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 851.759 | + | 618.839i | 1.23265 | + | 0.895570i | 0.997086 | − | 0.0762896i | \(-0.0243074\pi\) |
0.235561 | + | 0.971860i | \(0.424307\pi\) | |||||||
\(692\) | − | 388.145i | − | 0.560904i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 283.080 | 0.407896 | ||||||||
\(695\) | −143.877 | + | 198.030i | −0.207017 | + | 0.284935i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 54.6676 | + | 168.250i | 0.0784327 | + | 0.241391i | ||||
\(698\) | −474.854 | + | 345.002i | −0.680307 | + | 0.494272i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.09332 | + | 2.30476i | −0.0101333 | + | 0.00329251i | ||||
\(701\) | −836.024 | − | 271.641i | −1.19262 | − | 0.387505i | −0.355577 | − | 0.934647i | \(-0.615716\pi\) |
−0.837040 | + | 0.547142i | \(0.815716\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 17.4743i | − | 0.0248568i | ||||||
\(704\) | −523.734 | + | 279.295i | −0.743940 | + | 0.396726i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −256.685 | + | 353.297i | −0.363577 | + | 0.500420i | ||||
\(707\) | 16.0137 | − | 49.2852i | 0.0226503 | − | 0.0697104i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −586.433 | + | 426.069i | −0.827127 | + | 0.600943i | −0.918745 | − | 0.394851i | \(-0.870796\pi\) |
0.0916181 | + | 0.995794i | \(0.470796\pi\) | |||||||
\(710\) | 420.865 | + | 579.272i | 0.592768 | + | 0.815875i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 159.749 | + | 51.9054i | 0.224366 | + | 0.0729009i | ||||
\(713\) | 1167.39 | + | 848.161i | 1.63730 | + | 1.18957i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 387.118 | + | 188.225i | 0.541424 | + | 0.263252i | ||||
\(716\) | 47.6487 | 0.0665485 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −178.099 | + | 548.132i | −0.248049 | + | 0.763416i | ||||
\(719\) | −227.934 | − | 701.508i | −0.317015 | − | 0.975672i | −0.974917 | − | 0.222568i | \(-0.928556\pi\) |
0.657902 | − | 0.753103i | \(-0.271444\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.5924 | − | 15.9556i | −0.0160783 | − | 0.0221298i | ||||
\(722\) | 344.686 | − | 111.995i | 0.477404 | − | 0.155118i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 233.305 | + | 169.506i | 0.322245 | + | 0.234125i | ||||
\(725\) | 208.013i | 0.286915i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −764.559 | −1.05166 | −0.525832 | − | 0.850589i | \(-0.676246\pi\) | ||||
−0.525832 | + | 0.850589i | \(0.676246\pi\) | |||||||
\(728\) | 27.1818 | − | 37.4126i | 0.0373377 | − | 0.0513909i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −221.635 | − | 682.122i | −0.303609 | − | 0.934413i | ||||
\(731\) | 105.034 | − | 76.3115i | 0.143685 | − | 0.104393i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1012.62 | − | 329.022i | 1.38148 | − | 0.448870i | 0.478324 | − | 0.878183i | \(-0.341244\pi\) |
0.903156 | + | 0.429314i | \(0.141244\pi\) | |||||||
\(734\) | −611.675 | − | 198.745i | −0.833345 | − | 0.270770i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 829.677i | − | 1.12728i | ||||||
\(737\) | −134.180 | + | 275.965i | −0.182062 | + | 0.374443i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −688.127 | + | 947.126i | −0.931160 | + | 1.28163i | 0.0282457 | + | 0.999601i | \(0.491008\pi\) |
−0.959405 | + | 0.282030i | \(0.908992\pi\) | |||||||
\(740\) | 4.88645 | − | 15.0390i | 0.00660332 | − | 0.0203229i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 45.1962 | − | 32.8370i | 0.0609114 | − | 0.0442547i | ||||
\(743\) | 409.510 | + | 563.642i | 0.551158 | + | 0.758603i | 0.990169 | − | 0.139878i | \(-0.0446711\pi\) |
−0.439011 | + | 0.898482i | \(0.644671\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 126.345 | + | 41.0519i | 0.169590 | + | 0.0551032i | ||||
\(746\) | −737.476 | − | 535.808i | −0.988574 | − | 0.718241i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −31.8749 | − | 59.7718i | −0.0426135 | − | 0.0799088i | ||||
\(749\) | −26.3186 | −0.0351384 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 131.874 | − | 405.867i | 0.175598 | − | 0.540435i | −0.824062 | − | 0.566499i | \(-0.808297\pi\) |
0.999660 | + | 0.0260640i | \(0.00829738\pi\) | |||||||
\(752\) | 44.0826 | + | 135.672i | 0.0586204 | + | 0.180415i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −258.561 | − | 355.878i | −0.342919 | − | 0.471987i | ||||
\(755\) | −472.094 | + | 153.393i | −0.625290 | + | 0.203169i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 750.939 | + | 545.589i | 0.991993 | + | 0.720725i | 0.960357 | − | 0.278774i | \(-0.0899280\pi\) |
0.0316368 | + | 0.999499i | \(0.489928\pi\) | |||||||
\(758\) | 626.489i | 0.826502i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −368.910 | −0.485408 | ||||||||
\(761\) | −28.3758 | + | 39.0559i | −0.0372875 | + | 0.0513218i | −0.827254 | − | 0.561829i | \(-0.810098\pi\) |
0.789966 | + | 0.613150i | \(0.210098\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.52727 | − | 10.8558i | −0.00462290 | − | 0.0142278i | ||||
\(764\) | −146.643 | + | 106.542i | −0.191941 | + | 0.139453i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 417.362 | − | 135.609i | 0.544859 | − | 0.177035i | ||||
\(767\) | −479.948 | − | 155.945i | −0.625748 | − | 0.203318i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 435.589i | 0.566435i | 0.959056 | + | 0.283218i | \(0.0914019\pi\) | ||||
−0.959056 | + | 0.283218i | \(0.908598\pi\) | |||||||
\(770\) | 40.5562 | + | 5.64930i | 0.0526704 | + | 0.00733676i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 171.706 | − | 236.334i | 0.222418 | − | 0.306132i | ||||
\(773\) | −108.555 | + | 334.098i | −0.140434 | + | 0.432210i | −0.996396 | − | 0.0848287i | \(-0.972966\pi\) |
0.855962 | + | 0.517039i | \(0.172966\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −239.548 | + | 174.042i | −0.309094 | + | 0.224570i | ||||
\(776\) | −867.733 | − | 1194.33i | −1.11821 | − | 1.53909i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 283.213 | + | 92.0215i | 0.364027 | + | 0.118280i | ||||
\(779\) | −481.408 | − | 349.764i | −0.617982 | − | 0.448991i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −226.719 | − | 1276.67i | −0.290293 | − | 1.63466i | ||||
\(782\) | −118.360 | −0.151356 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −51.5666 | + | 158.706i | −0.0657738 | + | 0.202431i | ||||
\(785\) | 30.2622 | + | 93.1373i | 0.0385505 | + | 0.118646i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 253.179 | + | 348.471i | 0.321701 | + | 0.442783i | 0.938986 | − | 0.343957i | \(-0.111767\pi\) |
−0.617285 | + | 0.786740i | \(0.711767\pi\) | |||||||
\(788\) | −355.916 | + | 115.644i | −0.451669 | + | 0.146756i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 614.570 | + | 446.511i | 0.777937 | + | 0.565204i | ||||
\(791\) | − | 103.118i | − | 0.130364i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 765.678 | 0.965546 | ||||||||
\(794\) | −301.474 | + | 414.944i | −0.379691 | + | 0.522599i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 36.6879 | + | 112.914i | 0.0460903 | + | 0.141851i | ||||
\(797\) | −316.584 | + | 230.011i | −0.397219 | + | 0.288597i | −0.768407 | − | 0.639961i | \(-0.778950\pi\) |
0.371188 | + | 0.928558i | \(0.378950\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −117.586 | + | 38.2061i | −0.147167 | + | 0.0478174i | ||||
\(800\) | 161.916 | + | 52.6097i | 0.202395 | + | 0.0657622i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 154.789i | 0.193004i | ||||||||
\(803\) | −179.191 | + | 1286.40i | −0.223151 | + | 1.60200i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −45.1229 | + | 62.1064i | −0.0560533 | + | 0.0771508i | ||||
\(806\) | 193.495 | − | 595.517i | 0.240068 | − | 0.738854i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −576.872 | + | 419.122i | −0.713950 | + | 0.518715i | ||||
\(809\) | 198.597 | + | 273.345i | 0.245485 | + | 0.337881i | 0.913924 | − | 0.405886i | \(-0.133037\pi\) |
−0.668439 | + | 0.743767i | \(0.733037\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1405.86 | − | 456.793i | −1.73349 | − | 0.563246i | −0.739546 | − | 0.673106i | \(-0.764960\pi\) |
−0.993947 | + | 0.109860i | \(0.964960\pi\) | |||||||
\(812\) | 36.3239 | + | 26.3908i | 0.0447339 | + | 0.0325010i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 18.5158 | − | 19.2206i | 0.0227467 | − | 0.0236125i | ||||
\(815\) | −556.814 | −0.683207 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −134.947 | + | 415.323i | −0.165173 | + | 0.508351i | ||||
\(818\) | 87.2104 | + | 268.406i | 0.106614 | + | 0.328125i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −316.509 | − | 435.637i | −0.385987 | − | 0.531265i | ||||
\(821\) | 12.3858 | − | 4.02439i | 0.0150862 | − | 0.00490182i | −0.301464 | − | 0.953478i | \(-0.597475\pi\) |
0.316550 | + | 0.948576i | \(0.397475\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.15431 | − | 5.92445i | −0.00990803 | − | 0.00719860i | 0.582820 | − | 0.812601i | \(-0.301949\pi\) |
−0.592728 | + | 0.805403i | \(0.701949\pi\) | |||||||
\(824\) | 271.373i | 0.329336i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −48.0058 | −0.0581184 | ||||||||
\(827\) | −7.38327 | + | 10.1622i | −0.00892778 | + | 0.0122880i | −0.813458 | − | 0.581624i | \(-0.802417\pi\) |
0.804530 | + | 0.593912i | \(0.202417\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −63.4520 | − | 195.285i | −0.0765404 | − | 0.235567i | 0.905465 | − | 0.424422i | \(-0.139523\pi\) |
−0.982005 | + | 0.188854i | \(0.939523\pi\) | |||||||
\(830\) | −160.571 | + | 116.662i | −0.193459 | + | 0.140556i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −459.241 | + | 149.216i | −0.551972 | + | 0.179347i | ||||
\(833\) | −137.549 | − | 44.6925i | −0.165125 | − | 0.0536524i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 1085.07i | − | 1.29948i | ||||||
\(836\) | 204.913 | + | 99.6333i | 0.245112 | + | 0.119179i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −423.809 | + | 583.324i | −0.505739 | + | 0.696090i | ||||
\(839\) | −342.489 | + | 1054.07i | −0.408211 | + | 1.25634i | 0.509974 | + | 0.860190i | \(0.329655\pi\) |
−0.918184 | + | 0.396153i | \(0.870345\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 332.688 | − | 241.712i | 0.395586 | − | 0.287410i | ||||
\(842\) | 272.274 | + | 374.753i | 0.323366 | + | 0.445075i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −107.877 | − | 35.0514i | −0.127816 | − | 0.0415301i | ||||
\(845\) | −314.564 | − | 228.544i | −0.372265 | − | 0.270466i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −61.5763 | − | 41.3152i | −0.0726993 | − | 0.0487783i | ||||
\(848\) | −225.218 | −0.265587 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.50522 | − | 23.0987i | 0.00882968 | − | 0.0271749i | ||||
\(851\) | 15.4615 | + | 47.5856i | 0.0181686 | + | 0.0559173i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −818.707 | − | 1126.85i | −0.959797 | − | 1.32105i | −0.947035 | − | 0.321129i | \(-0.895938\pi\) |
−0.0127620 | − | 0.999919i | \(-0.504062\pi\) | |||||||
\(854\) | 69.2720 | − | 22.5078i | 0.0811148 | − | 0.0263558i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 292.976 | + | 212.859i | 0.342262 | + | 0.248668i | ||||
\(857\) | − | 1297.45i | − | 1.51395i | −0.653444 | − | 0.756974i | \(-0.726677\pi\) | ||
0.653444 | − | 0.756974i | \(-0.273323\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −406.557 | −0.473290 | −0.236645 | − | 0.971596i | \(-0.576048\pi\) | ||||
−0.236645 | + | 0.971596i | \(0.576048\pi\) | |||||||
\(860\) | −232.279 | + | 319.704i | −0.270092 | + | 0.371749i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 314.057 | + | 966.567i | 0.364335 | + | 1.12131i | ||||
\(863\) | −261.846 | + | 190.242i | −0.303414 | + | 0.220443i | −0.729065 | − | 0.684444i | \(-0.760045\pi\) |
0.425652 | + | 0.904887i | \(0.360045\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 779.670 | − | 253.330i | 0.901353 | − | 0.292867i | ||||
\(866\) | 492.925 | + | 160.161i | 0.569198 | + | 0.184943i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 63.9114i | 0.0736306i | ||||||||
\(869\) | −647.313 | − | 1213.84i | −0.744894 | − | 1.39682i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −146.734 | + | 201.962i | −0.168466 | + | 0.231873i | ||||
\(872\) | −48.5344 | + | 149.374i | −0.0556587 | + | 0.171300i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 322.086 | − | 234.010i | 0.368520 | − | 0.267745i | ||||
\(875\) | −48.6380 | − | 66.9444i | −0.0555862 | − | 0.0765079i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −591.056 | − | 192.046i | −0.673952 | − | 0.218980i | −0.0480065 | − | 0.998847i | \(-0.515287\pi\) |
−0.625946 | + | 0.779867i | \(0.715287\pi\) | |||||||
\(878\) | 331.472 | + | 240.828i | 0.377531 | + | 0.274292i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −118.887 | − | 114.527i | −0.135099 | − | 0.130145i | ||||
\(881\) | 1346.48 | 1.52835 | 0.764176 | − | 0.645007i | \(-0.223146\pi\) | ||||
0.764176 | + | 0.645007i | \(0.223146\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 166.093 | − | 511.183i | 0.188101 | − | 0.578916i | −0.811887 | − | 0.583815i | \(-0.801559\pi\) |
0.999988 | + | 0.00489886i | \(0.00155936\pi\) | |||||||
\(884\) | −17.0295 | − | 52.4114i | −0.0192641 | − | 0.0592889i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 412.790 | + | 568.156i | 0.465902 | + | 0.641260i | ||||
\(887\) | −444.753 | + | 144.509i | −0.501413 | + | 0.162919i | −0.548793 | − | 0.835958i | \(-0.684913\pi\) |
0.0473806 | + | 0.998877i | \(0.484913\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −47.3743 | − | 34.4194i | −0.0532894 | − | 0.0387170i | ||||
\(890\) | 120.998i | 0.135952i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 606.409 | 0.679831 | ||||||||
\(893\) | 244.443 | − | 336.446i | 0.273732 | − | 0.376760i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.0988 | + | 95.7124i | 0.0347473 | + | 0.106941i | ||||
\(896\) | 20.2752 | − | 14.7308i | 0.0226285 | − | 0.0164406i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −35.1224 | + | 11.4120i | −0.0391118 | + | 0.0127082i | ||||
\(899\) | 1695.24 | + | 550.818i | 1.88570 | + | 0.612701i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 195.195i | − | 0.216642i | ||||||
\(902\) | −158.908 | − | 894.818i | −0.176173 | − | 0.992038i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −833.998 | + | 1147.90i | −0.922564 | + | 1.26980i | ||||
\(905\) | −188.217 | + | 579.273i | −0.207975 | + | 0.640081i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −132.551 | + | 96.3039i | −0.146142 | + | 0.106179i | −0.658454 | − | 0.752621i | \(-0.728789\pi\) |
0.512312 | + | 0.858800i | \(0.328789\pi\) | |||||||
\(908\) | 104.933 | + | 144.428i | 0.115565 | + | 0.159062i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 31.6820 | + | 10.2941i | 0.0348154 | + | 0.0113122i | ||||
\(911\) | −780.199 | − | 566.848i | −0.856420 | − | 0.622226i | 0.0704883 | − | 0.997513i | \(-0.477544\pi\) |
−0.926909 | + | 0.375287i | \(0.877544\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 353.885 | − | 62.8453i | 0.387607 | − | 0.0688338i | ||||
\(914\) | 245.448 | 0.268542 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 32.1342 | − | 98.8988i | 0.0350810 | − | 0.107968i | ||||
\(917\) | 38.1720 | + | 117.481i | 0.0416271 | + | 0.128115i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 935.754 | + | 1287.95i | 1.01823 | + | 1.40147i | 0.913437 | + | 0.406980i | \(0.133418\pi\) |
0.104794 | + | 0.994494i | \(0.466582\pi\) | |||||||
\(920\) | 1004.61 | − | 326.417i | 1.09196 | − | 0.354801i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 174.225 | + | 126.582i | 0.188964 | + | 0.137290i | ||||
\(923\) | − | 1054.86i | − | 1.14286i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.2670 | −0.0110995 | ||||||||
\(926\) | 156.788 | − | 215.801i | 0.169318 | − | 0.233046i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −316.707 | − | 974.724i | −0.341279 | − | 1.05035i | ||||
\(929\) | 866.817 | − | 629.779i | 0.933064 | − | 0.677911i | −0.0136770 | − | 0.999906i | \(-0.504354\pi\) |
0.946741 | + | 0.321996i | \(0.104354\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 462.665 | − | 150.329i | 0.496955 | − | 0.161470i | ||||
\(932\) | 841.035 | + | 273.269i | 0.902398 | + | 0.293207i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 448.847i | − | 0.480564i | ||||||
\(935\) | 99.2602 | − | 103.038i | 0.106161 | − | 0.110202i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 314.554 | − | 432.946i | 0.335703 | − | 0.462056i | −0.607477 | − | 0.794337i | \(-0.707818\pi\) |
0.943180 | + | 0.332282i | \(0.107818\pi\) | |||||||
\(938\) | −7.33836 | + | 22.5851i | −0.00782341 | + | 0.0240780i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 304.458 | − | 221.202i | 0.323891 | − | 0.235321i | ||||
\(941\) | −868.169 | − | 1194.93i | −0.922603 | − | 1.26985i | −0.962676 | − | 0.270657i | \(-0.912759\pi\) |
0.0400733 | − | 0.999197i | \(-0.487241\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1620.44 | + | 526.511i | 1.71838 | + | 0.558337i | ||||
\(944\) | 156.570 | + | 113.755i | 0.165858 | + | 0.120503i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −588.509 | + | 313.838i | −0.622103 | + | 0.331753i | ||||
\(947\) | −425.172 | −0.448968 | −0.224484 | − | 0.974478i | \(-0.572070\pi\) | ||||
−0.224484 | + | 0.974478i | \(0.572070\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −326.519 | + | 1004.92i | −0.344067 | + | 1.05893i | ||||
\(950\) | 25.2448 | + | 77.6955i | 0.0265735 | + | 0.0817847i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.03457 | − | 12.4350i | −0.00949009 | − | 0.0130620i | ||||
\(953\) | 518.173 | − | 168.365i | 0.543728 | − | 0.176668i | −0.0242586 | − | 0.999706i | \(-0.507723\pi\) |
0.567987 | + | 0.823038i | \(0.307723\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −309.721 | − | 225.026i | −0.324316 | − | 0.235629i | ||||
\(956\) | 39.5237i | 0.0413428i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 636.839 | 0.664759 | ||||||||
\(959\) | 47.5233 | − | 65.4102i | 0.0495551 | − | 0.0682067i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 487.099 | + | 1499.14i | 0.506867 | + | 1.55998i | ||||
\(962\) | 17.5653 | − | 12.7619i | 0.0182591 | − | 0.0132660i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −106.113 | + | 34.4782i | −0.110076 | + | 0.0357658i | ||||
\(965\) | 586.792 | + | 190.660i | 0.608075 | + | 0.197576i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 1196.81i | − | 1.23765i | −0.785529 | − | 0.618824i | \(-0.787609\pi\) | ||
0.785529 | − | 0.618824i | \(-0.212391\pi\) | |||||||
\(968\) | 351.311 | + | 957.932i | 0.362925 | + | 0.989599i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 625.076 | − | 860.343i | 0.644408 | − | 0.886952i | ||||
\(971\) | 251.330 | − | 773.514i | 0.258836 | − | 0.796616i | −0.734213 | − | 0.678919i | \(-0.762449\pi\) |
0.993050 | − | 0.117697i | \(-0.0375511\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 27.7528 | − | 20.1636i | 0.0285229 | − | 0.0207231i | ||||
\(974\) | 201.606 | + | 277.487i | 0.206987 | + | 0.284894i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −279.264 | − | 90.7385i | −0.286132 | − | 0.0929698i | ||||
\(977\) | −552.483 | − | 401.403i | −0.565490 | − | 0.410852i | 0.267974 | − | 0.963426i | \(-0.413646\pi\) |
−0.833464 | + | 0.552574i | \(0.813646\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 95.8131 | − | 197.056i | 0.0978683 | − | 0.201283i | ||||
\(980\) | 440.222 | 0.449206 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 18.5911 | − | 57.2175i | 0.0189319 | − | 0.0582663i | ||||
\(983\) | 454.768 | + | 1399.63i | 0.462633 | + | 1.42384i | 0.861935 | + | 0.507018i | \(0.169252\pi\) |
−0.399303 | + | 0.916819i | \(0.630748\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −464.590 | − | 639.453i | −0.471665 | − | 0.649191i | ||||
\(986\) | −139.053 | + | 45.1809i | −0.141027 | + | 0.0458224i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 149.963 | + | 108.955i | 0.151785 | + | 0.110278i | ||||
\(989\) | − | 1250.40i | − | 1.26431i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −399.921 | −0.403553 | −0.201777 | − | 0.979432i | \(-0.564671\pi\) | ||||
−0.201777 | + | 0.979432i | \(0.564671\pi\) | |||||||
\(992\) | 857.507 | − | 1180.26i | 0.864422 | − | 1.18977i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −31.0087 | − | 95.4350i | −0.0311959 | − | 0.0960110i | ||||
\(995\) | −202.865 | + | 147.390i | −0.203885 | + | 0.148131i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1189.25 | + | 386.412i | −1.19283 | + | 0.387575i | −0.837119 | − | 0.547020i | \(-0.815762\pi\) |
−0.355713 | + | 0.934595i | \(0.615762\pi\) | |||||||
\(998\) | 651.572 | + | 211.709i | 0.652878 | + | 0.212133i | ||||
\(999\) | 0 | 0 |
(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 | 99.3.k.b.73.2 | yes | 16 | |
3.2 | odd | 2 | inner | 99.3.k.b.73.3 | yes | 16 | |
11.5 | even | 5 | 1089.3.c.l.604.6 | 16 | |||
11.6 | odd | 10 | 1089.3.c.l.604.12 | 16 | |||
11.8 | odd | 10 | inner | 99.3.k.b.19.2 | ✓ | 16 | |
33.5 | odd | 10 | 1089.3.c.l.604.11 | 16 | |||
33.8 | even | 10 | inner | 99.3.k.b.19.3 | yes | 16 | |
33.17 | even | 10 | 1089.3.c.l.604.5 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.k.b.19.2 | ✓ | 16 | 11.8 | odd | 10 | inner | |
99.3.k.b.19.3 | yes | 16 | 33.8 | even | 10 | inner | |
99.3.k.b.73.2 | yes | 16 | 1.1 | even | 1 | trivial | |
99.3.k.b.73.3 | yes | 16 | 3.2 | odd | 2 | inner | |
1089.3.c.l.604.5 | 16 | 33.17 | even | 10 | |||
1089.3.c.l.604.6 | 16 | 11.5 | even | 5 | |||
1089.3.c.l.604.11 | 16 | 33.5 | odd | 10 | |||
1089.3.c.l.604.12 | 16 | 11.6 | odd | 10 |