Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.5 | ||
Root | \(1.13697i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.d.487.5 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06251 | + | 1.84033i | 0.751311 | + | 1.30131i | 0.947187 | + | 0.320680i | \(0.103912\pi\) |
−0.195876 | + | 0.980629i | \(0.562755\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.25787 | + | 2.17870i | −0.628937 | + | 1.08935i | ||||
\(5\) | 1.03547 | − | 1.79349i | 0.463076 | − | 0.802072i | −0.536036 | − | 0.844195i | \(-0.680079\pi\) |
0.999112 | + | 0.0421233i | \(0.0134122\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.42434 | − | 4.19907i | −0.916313 | − | 1.58710i | −0.804967 | − | 0.593319i | \(-0.797817\pi\) |
−0.111346 | − | 0.993782i | \(-0.535516\pi\) | |||||||
\(8\) | −1.09598 | −0.387487 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.40081 | 1.39166 | ||||||||
\(11\) | −2.07474 | − | 3.59356i | −0.625559 | − | 1.08350i | −0.988432 | − | 0.151662i | \(-0.951538\pi\) |
0.362874 | − | 0.931838i | \(-0.381796\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.608008 | − | 1.05310i | 0.168631 | − | 0.292077i | −0.769308 | − | 0.638878i | \(-0.779399\pi\) |
0.937939 | + | 0.346801i | \(0.112732\pi\) | |||||||
\(14\) | 5.15178 | − | 8.92315i | 1.37687 | − | 2.38481i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.35126 | + | 2.34044i | 0.337814 | + | 0.585111i | ||||
\(17\) | 2.36364 | 0.573266 | 0.286633 | − | 0.958040i | \(-0.407464\pi\) | ||||
0.286633 | + | 0.958040i | \(0.407464\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.83801 | −0.421668 | −0.210834 | − | 0.977522i | \(-0.567618\pi\) | ||||
−0.210834 | + | 0.977522i | \(0.567618\pi\) | |||||||
\(20\) | 2.60498 | + | 4.51196i | 0.582491 | + | 1.00890i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.40889 | − | 7.63642i | 0.939979 | − | 1.62809i | ||||
\(23\) | 2.15178 | − | 3.72700i | 0.448678 | − | 0.777133i | −0.549622 | − | 0.835413i | \(-0.685228\pi\) |
0.998300 | + | 0.0582801i | \(0.0185617\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.355603 | + | 0.615922i | 0.0711206 | + | 0.123184i | ||||
\(26\) | 2.58407 | 0.506777 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.1980 | 2.30521 | ||||||||
\(29\) | −1.49091 | − | 2.58233i | −0.276855 | − | 0.479527i | 0.693746 | − | 0.720219i | \(-0.255959\pi\) |
−0.970601 | + | 0.240692i | \(0.922626\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.736793 | + | 1.27616i | −0.132332 | + | 0.229206i | −0.924575 | − | 0.381000i | \(-0.875580\pi\) |
0.792243 | + | 0.610206i | \(0.208913\pi\) | |||||||
\(32\) | −3.96743 | + | 6.87180i | −0.701350 | + | 1.21477i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.51140 | + | 4.34987i | 0.430701 | + | 0.745997i | ||||
\(35\) | −10.0413 | −1.69729 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.97108 | 1.47484 | 0.737418 | − | 0.675436i | \(-0.236045\pi\) | ||||
0.737418 | + | 0.675436i | \(0.236045\pi\) | |||||||
\(38\) | −1.95291 | − | 3.38254i | −0.316804 | − | 0.548720i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.13485 | + | 1.96562i | −0.179436 | + | 0.310792i | ||||
\(41\) | −1.13026 | + | 1.95767i | −0.176517 | + | 0.305737i | −0.940685 | − | 0.339280i | \(-0.889816\pi\) |
0.764168 | + | 0.645017i | \(0.223150\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.74243 | + | 4.75003i | 0.418216 | + | 0.724372i | 0.995760 | − | 0.0919876i | \(-0.0293220\pi\) |
−0.577544 | + | 0.816360i | \(0.695989\pi\) | |||||||
\(44\) | 10.4391 | 1.57375 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 9.14521 | 1.34839 | ||||||||
\(47\) | −3.59157 | − | 6.22077i | −0.523884 | − | 0.907393i | −0.999613 | − | 0.0278017i | \(-0.991149\pi\) |
0.475730 | − | 0.879591i | \(-0.342184\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.25481 | + | 14.2978i | −1.17926 | + | 2.04254i | ||||
\(50\) | −0.755667 | + | 1.30885i | −0.106867 | + | 0.185100i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.52959 | + | 2.64933i | 0.212116 | + | 0.367396i | ||||
\(53\) | −6.32803 | −0.869222 | −0.434611 | − | 0.900618i | \(-0.643114\pi\) | ||||
−0.434611 | + | 0.900618i | \(0.643114\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.59334 | −1.15873 | ||||||||
\(56\) | 2.65702 | + | 4.60209i | 0.355059 | + | 0.614980i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.16823 | − | 5.48753i | 0.416009 | − | 0.720548i | ||||
\(59\) | −0.131128 | + | 0.227121i | −0.0170715 | + | 0.0295686i | −0.874435 | − | 0.485143i | \(-0.838768\pi\) |
0.857363 | + | 0.514711i | \(0.172101\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.22780 | + | 3.85867i | 0.285241 | + | 0.494052i | 0.972668 | − | 0.232202i | \(-0.0745931\pi\) |
−0.687427 | + | 0.726254i | \(0.741260\pi\) | |||||||
\(62\) | −3.13141 | −0.397690 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.4568 | −1.43210 | ||||||||
\(65\) | −1.25915 | − | 2.18091i | −0.156178 | − | 0.270508i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.06555 | + | 3.57764i | −0.252347 | + | 0.437078i | −0.964172 | − | 0.265279i | \(-0.914536\pi\) |
0.711824 | + | 0.702358i | \(0.247869\pi\) | |||||||
\(68\) | −2.97316 | + | 5.14966i | −0.360548 | + | 0.624488i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −10.6690 | − | 18.4793i | −1.27519 | − | 2.20870i | ||||
\(71\) | 3.08551 | 0.366183 | 0.183091 | − | 0.983096i | \(-0.441390\pi\) | ||||
0.183091 | + | 0.983096i | \(0.441390\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.7601 | 1.49345 | 0.746726 | − | 0.665132i | \(-0.231625\pi\) | ||||
0.746726 | + | 0.665132i | \(0.231625\pi\) | |||||||
\(74\) | 9.53190 | + | 16.5097i | 1.10806 | + | 1.91922i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.31198 | − | 4.00447i | 0.265202 | − | 0.459344i | ||||
\(77\) | −10.0598 | + | 17.4240i | −1.14642 | + | 1.98565i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.27620 | − | 3.94250i | −0.256093 | − | 0.443566i | 0.709099 | − | 0.705109i | \(-0.249102\pi\) |
−0.965192 | + | 0.261543i | \(0.915769\pi\) | |||||||
\(80\) | 5.59674 | 0.625734 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.80368 | −0.530478 | ||||||||
\(83\) | 4.22653 | + | 7.32056i | 0.463922 | + | 0.803536i | 0.999152 | − | 0.0411700i | \(-0.0131085\pi\) |
−0.535230 | + | 0.844706i | \(0.679775\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.44748 | − | 4.23915i | 0.265466 | − | 0.459801i | ||||
\(86\) | −5.82774 | + | 10.0939i | −0.628421 | + | 1.08846i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.27387 | + | 3.93846i | 0.242396 | + | 0.419842i | ||||
\(89\) | 16.9632 | 1.79809 | 0.899046 | − | 0.437854i | \(-0.144261\pi\) | ||||
0.899046 | + | 0.437854i | \(0.144261\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.89606 | −0.618075 | ||||||||
\(92\) | 5.41335 | + | 9.37619i | 0.564380 | + | 0.977535i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.63218 | − | 13.2193i | 0.787199 | − | 1.36347i | ||||
\(95\) | −1.90320 | + | 3.29644i | −0.195264 | + | 0.338208i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.55489 | + | 4.42519i | 0.259409 | + | 0.449310i | 0.966084 | − | 0.258229i | \(-0.0831388\pi\) |
−0.706674 | + | 0.707539i | \(0.749805\pi\) | |||||||
\(98\) | −35.0834 | −3.54396 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.78921 | −0.178921 | ||||||||
\(101\) | −9.28994 | − | 16.0906i | −0.924384 | − | 1.60108i | −0.792550 | − | 0.609808i | \(-0.791247\pi\) |
−0.131834 | − | 0.991272i | \(-0.542087\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.50288 | + | 7.79923i | −0.443682 | + | 0.768481i | −0.997959 | − | 0.0638518i | \(-0.979662\pi\) |
0.554277 | + | 0.832332i | \(0.312995\pi\) | |||||||
\(104\) | −0.666363 | + | 1.15417i | −0.0653422 | + | 0.113176i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.72362 | − | 11.6457i | −0.653056 | − | 1.13113i | ||||
\(107\) | 7.42680 | 0.717976 | 0.358988 | − | 0.933342i | \(-0.383122\pi\) | ||||
0.358988 | + | 0.933342i | \(0.383122\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.62396 | −0.538678 | −0.269339 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(110\) | −9.13055 | − | 15.8146i | −0.870564 | − | 1.50786i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.55179 | − | 11.3480i | 0.619086 | − | 1.07229i | ||||
\(113\) | 1.20133 | − | 2.08077i | 0.113012 | − | 0.195743i | −0.803971 | − | 0.594668i | \(-0.797283\pi\) |
0.916983 | + | 0.398926i | \(0.130617\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.45622 | − | 7.71839i | −0.415544 | − | 0.719744i | ||||
\(116\) | 7.50150 | 0.696497 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.557303 | −0.0513039 | ||||||||
\(119\) | −5.73025 | − | 9.92509i | −0.525292 | − | 0.909832i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.10913 | + | 5.38517i | −0.282648 | + | 0.489561i | ||||
\(122\) | −4.73415 | + | 8.19978i | −0.428609 | + | 0.742373i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.85359 | − | 3.21050i | −0.166457 | − | 0.288312i | ||||
\(125\) | 11.8276 | 1.05789 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.23469 | −0.819447 | −0.409723 | − | 0.912210i | \(-0.634375\pi\) | ||||
−0.409723 | + | 0.912210i | \(0.634375\pi\) | |||||||
\(128\) | −4.23815 | − | 7.34069i | −0.374603 | − | 0.648831i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.67572 | − | 4.63449i | 0.234677 | − | 0.406472i | ||||
\(131\) | 7.66950 | − | 13.2840i | 0.670088 | − | 1.16063i | −0.307791 | − | 0.951454i | \(-0.599590\pi\) |
0.977879 | − | 0.209172i | \(-0.0670768\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.45595 | + | 7.71792i | 0.386380 | + | 0.669229i | ||||
\(134\) | −8.77871 | −0.758365 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.59049 | −0.222133 | ||||||||
\(137\) | 1.82198 | + | 3.15577i | 0.155663 | + | 0.269616i | 0.933300 | − | 0.359097i | \(-0.116915\pi\) |
−0.777637 | + | 0.628713i | \(0.783582\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.63777 | + | 11.4970i | −0.563008 | + | 0.975159i | 0.434224 | + | 0.900805i | \(0.357023\pi\) |
−0.997232 | + | 0.0743538i | \(0.976311\pi\) | |||||||
\(140\) | 12.6307 | − | 21.8770i | 1.06749 | − | 1.84895i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.27840 | + | 5.67835i | 0.275117 | + | 0.476517i | ||||
\(143\) | −5.04584 | −0.421954 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.17517 | −0.512820 | ||||||||
\(146\) | 13.5577 | + | 23.4827i | 1.12205 | + | 1.94344i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.2845 | + | 19.5453i | −0.927579 | + | 1.60661i | ||||
\(149\) | −4.45549 | + | 7.71714i | −0.365008 | + | 0.632213i | −0.988777 | − | 0.149396i | \(-0.952267\pi\) |
0.623769 | + | 0.781608i | \(0.285600\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.356202 | + | 0.616960i | 0.0289873 | + | 0.0502075i | 0.880155 | − | 0.474686i | \(-0.157438\pi\) |
−0.851168 | + | 0.524894i | \(0.824105\pi\) | |||||||
\(152\) | 2.01441 | 0.163391 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −42.7545 | −3.44526 | ||||||||
\(155\) | 1.52585 | + | 2.64286i | 0.122560 | + | 0.212279i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.90903 | − | 11.9668i | 0.551400 | − | 0.955054i | −0.446773 | − | 0.894647i | \(-0.647427\pi\) |
0.998174 | − | 0.0604064i | \(-0.0192397\pi\) | |||||||
\(158\) | 4.83700 | − | 8.37793i | 0.384811 | − | 0.666512i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 8.21632 | + | 14.2311i | 0.649557 | + | 1.12507i | ||||
\(161\) | −20.8666 | −1.64452 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.19321 | −0.0934597 | −0.0467298 | − | 0.998908i | \(-0.514880\pi\) | ||||
−0.0467298 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(164\) | −2.84345 | − | 4.92501i | −0.222036 | − | 0.384578i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.98150 | + | 15.5564i | −0.697099 | + | 1.20741i | ||||
\(167\) | 11.9682 | − | 20.7295i | 0.926124 | − | 1.60409i | 0.136381 | − | 0.990657i | \(-0.456453\pi\) |
0.789743 | − | 0.613437i | \(-0.210214\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.76065 | + | 9.97774i | 0.443127 | + | 0.767519i | ||||
\(170\) | 10.4019 | 0.797791 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −13.7985 | −1.05213 | ||||||||
\(173\) | 4.57000 | + | 7.91547i | 0.347451 | + | 0.601802i | 0.985796 | − | 0.167948i | \(-0.0537140\pi\) |
−0.638345 | + | 0.769750i | \(0.720381\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.72420 | − | 2.98641i | 0.130337 | − | 0.225751i | ||||
\(176\) | 5.60702 | − | 9.71164i | 0.422645 | − | 0.732043i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 18.0236 | + | 31.2178i | 1.35093 | + | 2.33987i | ||||
\(179\) | 10.6008 | 0.792337 | 0.396169 | − | 0.918178i | \(-0.370340\pi\) | ||||
0.396169 | + | 0.918178i | \(0.370340\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.46292 | −0.108738 | −0.0543690 | − | 0.998521i | \(-0.517315\pi\) | ||||
−0.0543690 | + | 0.998521i | \(0.517315\pi\) | |||||||
\(182\) | −6.26465 | − | 10.8507i | −0.464367 | − | 0.804307i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.35831 | + | 4.08471i | −0.173857 | + | 0.301129i | ||||
\(185\) | 9.28929 | − | 16.0895i | 0.682962 | − | 1.18292i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.90395 | − | 8.49388i | −0.358612 | − | 0.621134i | ||||
\(188\) | 18.0709 | 1.31796 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.08871 | −0.586817 | ||||||||
\(191\) | −6.21114 | − | 10.7580i | −0.449422 | − | 0.778422i | 0.548926 | − | 0.835871i | \(-0.315037\pi\) |
−0.998348 | + | 0.0574488i | \(0.981703\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.3867 | + | 17.9902i | −0.747647 | + | 1.29496i | 0.201300 | + | 0.979530i | \(0.435483\pi\) |
−0.948948 | + | 0.315434i | \(0.897850\pi\) | |||||||
\(194\) | −5.42921 | + | 9.40366i | −0.389794 | + | 0.675143i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −20.7670 | − | 35.9695i | −1.48336 | − | 2.56925i | ||||
\(197\) | −14.1887 | −1.01090 | −0.505450 | − | 0.862856i | \(-0.668674\pi\) | ||||
−0.505450 | + | 0.862856i | \(0.668674\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.3286 | 1.44106 | 0.720529 | − | 0.693424i | \(-0.243899\pi\) | ||||
0.720529 | + | 0.693424i | \(0.243899\pi\) | |||||||
\(200\) | −0.389733 | − | 0.675037i | −0.0275583 | − | 0.0477323i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 19.7414 | − | 34.1931i | 1.38900 | − | 2.40582i | ||||
\(203\) | −7.22893 | + | 12.5209i | −0.507372 | + | 0.878794i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.34071 | + | 4.05422i | 0.163482 | + | 0.283159i | ||||
\(206\) | −19.1375 | −1.33337 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.28629 | 0.227864 | ||||||||
\(209\) | 3.81339 | + | 6.60499i | 0.263778 | + | 0.456877i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.93166 | − | 8.54189i | 0.339509 | − | 0.588048i | −0.644831 | − | 0.764325i | \(-0.723072\pi\) |
0.984341 | + | 0.176278i | \(0.0564056\pi\) | |||||||
\(212\) | 7.95986 | − | 13.7869i | 0.546685 | − | 0.946887i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.89109 | + | 13.6678i | 0.539424 | + | 0.934309i | ||||
\(215\) | 11.3588 | 0.774665 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.14494 | 0.485030 | ||||||||
\(218\) | −5.97554 | − | 10.3499i | −0.404715 | − | 0.700986i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.8093 | − | 18.7223i | 0.728766 | − | 1.26226i | ||||
\(221\) | 1.43711 | − | 2.48915i | 0.0966705 | − | 0.167438i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.53569 | − | 13.0522i | −0.504627 | − | 0.874040i | −0.999986 | − | 0.00535136i | \(-0.998297\pi\) |
0.495358 | − | 0.868689i | \(-0.335037\pi\) | |||||||
\(224\) | 38.4736 | 2.57062 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.10574 | 0.339629 | ||||||||
\(227\) | 11.3463 | + | 19.6523i | 0.753079 | + | 1.30437i | 0.946324 | + | 0.323221i | \(0.104766\pi\) |
−0.193245 | + | 0.981151i | \(0.561901\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.35835 | + | 7.54888i | −0.288008 | + | 0.498844i | −0.973334 | − | 0.229392i | \(-0.926326\pi\) |
0.685326 | + | 0.728236i | \(0.259660\pi\) | |||||||
\(230\) | 9.46959 | − | 16.4018i | 0.624406 | − | 1.08150i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.63400 | + | 2.83018i | 0.107278 | + | 0.185810i | ||||
\(233\) | −23.5890 | −1.54536 | −0.772682 | − | 0.634793i | \(-0.781085\pi\) | ||||
−0.772682 | + | 0.634793i | \(0.781085\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.8758 | −0.970393 | ||||||||
\(236\) | −0.329886 | − | 0.571379i | −0.0214737 | − | 0.0371936i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.1770 | − | 21.0911i | 0.789315 | − | 1.36713i | ||||
\(239\) | −4.97726 | + | 8.62086i | −0.321952 | + | 0.557637i | −0.980891 | − | 0.194559i | \(-0.937672\pi\) |
0.658939 | + | 0.752197i | \(0.271006\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.85672 | − | 4.94799i | −0.184018 | − | 0.318728i | 0.759227 | − | 0.650826i | \(-0.225577\pi\) |
−0.943245 | + | 0.332097i | \(0.892244\pi\) | |||||||
\(242\) | −13.2140 | −0.849427 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.2092 | −0.717594 | ||||||||
\(245\) | 17.0952 | + | 29.6098i | 1.09217 | + | 1.89170i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.11752 | + | 1.93560i | −0.0711062 | + | 0.123160i | ||||
\(248\) | 0.807509 | − | 1.39865i | 0.0512769 | − | 0.0888141i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.5670 | + | 21.7666i | 0.794804 | + | 1.37664i | ||||
\(251\) | −7.28966 | −0.460120 | −0.230060 | − | 0.973176i | \(-0.573892\pi\) | ||||
−0.230060 | + | 0.973176i | \(0.573892\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.8576 | −1.12270 | ||||||||
\(254\) | −9.81199 | − | 16.9949i | −0.615659 | − | 1.06635i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.45062 | + | 4.24459i | −0.153163 | + | 0.265287i | ||||
\(257\) | 11.6215 | − | 20.1291i | 0.724932 | − | 1.25562i | −0.234071 | − | 0.972220i | \(-0.575205\pi\) |
0.959002 | − | 0.283399i | \(-0.0914620\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −21.7489 | − | 37.6702i | −1.35141 | − | 2.34071i | ||||
\(260\) | 6.33539 | 0.392904 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 32.5958 | 2.01378 | ||||||||
\(263\) | 13.6998 | + | 23.7288i | 0.844766 | + | 1.46318i | 0.885824 | + | 0.464021i | \(0.153594\pi\) |
−0.0410581 | + | 0.999157i | \(0.513073\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.55249 | + | 11.3492i | −0.402516 | + | 0.697178i | ||||
\(266\) | −9.46901 | + | 16.4008i | −0.580582 | + | 1.00560i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.19641 | − | 9.00044i | −0.317421 | − | 0.549789i | ||||
\(269\) | 9.41973 | 0.574331 | 0.287166 | − | 0.957881i | \(-0.407287\pi\) | ||||
0.287166 | + | 0.957881i | \(0.407287\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.2797 | 1.59638 | 0.798189 | − | 0.602408i | \(-0.205792\pi\) | ||||
0.798189 | + | 0.602408i | \(0.205792\pi\) | |||||||
\(272\) | 3.19388 | + | 5.53196i | 0.193657 | + | 0.335424i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.87177 | + | 6.70610i | −0.233902 | + | 0.405131i | ||||
\(275\) | 1.47557 | − | 2.55576i | 0.0889803 | − | 0.154118i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.187406 | − | 0.324597i | −0.0112601 | − | 0.0195031i | 0.860340 | − | 0.509720i | \(-0.170251\pi\) |
−0.871601 | + | 0.490217i | \(0.836918\pi\) | |||||||
\(278\) | −28.2109 | −1.69198 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 11.0051 | 0.657678 | ||||||||
\(281\) | −6.99079 | − | 12.1084i | −0.417036 | − | 0.722327i | 0.578604 | − | 0.815609i | \(-0.303598\pi\) |
−0.995640 | + | 0.0932815i | \(0.970264\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.78094 | + | 13.4770i | −0.462529 | + | 0.801124i | −0.999086 | − | 0.0427401i | \(-0.986391\pi\) |
0.536557 | + | 0.843864i | \(0.319725\pi\) | |||||||
\(284\) | −3.88118 | + | 6.72240i | −0.230306 | + | 0.398901i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.36128 | − | 9.28601i | −0.317019 | − | 0.549093i | ||||
\(287\) | 10.9605 | 0.646980 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.4132 | −0.671366 | ||||||||
\(290\) | −6.56121 | − | 11.3643i | −0.385287 | − | 0.667337i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.0505 | + | 27.8004i | −0.939287 | + | 1.62689i | ||||
\(293\) | −12.3121 | + | 21.3252i | −0.719281 | + | 1.24583i | 0.242004 | + | 0.970275i | \(0.422195\pi\) |
−0.961285 | + | 0.275556i | \(0.911138\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.271559 | + | 0.470354i | 0.0158108 | + | 0.0273851i | ||||
\(296\) | −9.83210 | −0.571479 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.9361 | −1.09694 | ||||||||
\(299\) | −2.61660 | − | 4.53209i | −0.151322 | − | 0.262097i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.2971 | − | 23.0313i | 0.766434 | − | 1.32750i | ||||
\(302\) | −0.756939 | + | 1.31106i | −0.0435570 | + | 0.0754429i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.48362 | − | 4.30175i | −0.142445 | − | 0.246722i | ||||
\(305\) | 9.22729 | 0.528353 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.3912 | −1.16379 | −0.581893 | − | 0.813265i | \(-0.697688\pi\) | ||||
−0.581893 | + | 0.813265i | \(0.697688\pi\) | |||||||
\(308\) | −25.3078 | − | 43.8344i | −1.44205 | − | 2.49770i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.24249 | + | 5.61615i | −0.184161 | + | 0.318976i | ||||
\(311\) | −11.0895 | + | 19.2076i | −0.628828 | + | 1.08916i | 0.358959 | + | 0.933353i | \(0.383132\pi\) |
−0.987787 | + | 0.155809i | \(0.950201\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.58602 | + | 9.67527i | 0.315740 | + | 0.546879i | 0.979595 | − | 0.200984i | \(-0.0644138\pi\) |
−0.663854 | + | 0.747862i | \(0.731080\pi\) | |||||||
\(314\) | 29.3638 | 1.65709 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.4527 | 0.644265 | ||||||||
\(317\) | −12.6083 | − | 21.8383i | −0.708154 | − | 1.22656i | −0.965541 | − | 0.260251i | \(-0.916195\pi\) |
0.257387 | − | 0.966309i | \(-0.417139\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.18651 | + | 10.7154i | −0.346378 | + | 0.599945i | ||||
\(320\) | −11.8632 | + | 20.5476i | −0.663172 | + | 1.14865i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −22.1711 | − | 38.4014i | −1.23554 | − | 2.14003i | ||||
\(323\) | −4.34438 | −0.241728 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | −1.26781 | − | 2.19591i | −0.0702173 | − | 0.121620i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.23874 | − | 2.14556i | 0.0683981 | − | 0.118469i | ||||
\(329\) | −17.4143 | + | 30.1625i | −0.960083 | + | 1.66291i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.0828 | + | 22.6602i | 0.719098 | + | 1.24551i | 0.961357 | + | 0.275303i | \(0.0887782\pi\) |
−0.242259 | + | 0.970212i | \(0.577888\pi\) | |||||||
\(332\) | −21.2658 | −1.16711 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 50.8654 | 2.78323 | ||||||||
\(335\) | 4.27763 | + | 7.40908i | 0.233712 | + | 0.404801i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.47302 | + | 9.47956i | −0.298135 | + | 0.516384i | −0.975709 | − | 0.219070i | \(-0.929698\pi\) |
0.677575 | + | 0.735454i | \(0.263031\pi\) | |||||||
\(338\) | −12.2416 | + | 21.2030i | −0.665853 | + | 1.15329i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.15723 | + | 10.6646i | 0.333923 | + | 0.578371i | ||||
\(341\) | 6.11463 | 0.331126 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 46.1091 | 2.48966 | ||||||||
\(344\) | −3.00564 | − | 5.20592i | −0.162053 | − | 0.280684i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.71138 | + | 16.8206i | −0.522087 | + | 0.904282i | ||||
\(347\) | −1.75669 | + | 3.04268i | −0.0943040 | + | 0.163339i | −0.909318 | − | 0.416102i | \(-0.863396\pi\) |
0.815014 | + | 0.579441i | \(0.196729\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.5984 | + | 25.2852i | 0.781436 | + | 1.35349i | 0.931105 | + | 0.364750i | \(0.118846\pi\) |
−0.149670 | + | 0.988736i | \(0.547821\pi\) | |||||||
\(350\) | 7.32796 | 0.391696 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 32.9256 | 1.75494 | ||||||||
\(353\) | 12.5384 | + | 21.7172i | 0.667352 | + | 1.15589i | 0.978642 | + | 0.205573i | \(0.0659056\pi\) |
−0.311290 | + | 0.950315i | \(0.600761\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.19495 | − | 5.53382i | 0.169571 | − | 0.293705i | ||||
\(356\) | −21.3375 | + | 36.9577i | −1.13089 | + | 1.95875i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.2635 | + | 19.5089i | 0.595292 | + | 1.03108i | ||||
\(359\) | 4.20724 | 0.222050 | 0.111025 | − | 0.993818i | \(-0.464587\pi\) | ||||
0.111025 | + | 0.993818i | \(0.464587\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.6217 | −0.822196 | ||||||||
\(362\) | −1.55437 | − | 2.69225i | −0.0816961 | − | 0.141502i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.41650 | − | 12.8458i | 0.388730 | − | 0.673300i | ||||
\(365\) | 13.2127 | − | 22.8850i | 0.691582 | − | 1.19786i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.74832 | − | 15.1525i | −0.456658 | − | 0.790956i | 0.542123 | − | 0.840299i | \(-0.317620\pi\) |
−0.998782 | + | 0.0493433i | \(0.984287\pi\) | |||||||
\(368\) | 11.6304 | 0.606279 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 39.4800 | 2.05247 | ||||||||
\(371\) | 15.3413 | + | 26.5719i | 0.796479 | + | 1.37954i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8273 | − | 25.6816i | 0.767728 | − | 1.32974i | −0.171065 | − | 0.985260i | \(-0.554721\pi\) |
0.938792 | − | 0.344483i | \(-0.111946\pi\) | |||||||
\(374\) | 10.4210 | − | 18.0497i | 0.538858 | − | 0.933330i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.93627 | + | 6.81783i | 0.202998 | + | 0.351603i | ||||
\(377\) | −3.62594 | −0.186745 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.9523 | 1.07625 | 0.538124 | − | 0.842865i | \(-0.319133\pi\) | ||||
0.538124 | + | 0.842865i | \(0.319133\pi\) | |||||||
\(380\) | −4.78797 | − | 8.29301i | −0.245618 | − | 0.425422i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 13.1988 | − | 22.8611i | 0.675312 | − | 1.16967i | ||||
\(383\) | −4.94839 | + | 8.57086i | −0.252851 | + | 0.437950i | −0.964310 | − | 0.264777i | \(-0.914702\pi\) |
0.711459 | + | 0.702728i | \(0.248035\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 20.8332 | + | 36.0841i | 1.06176 | + | 1.83902i | ||||
\(386\) | −44.1439 | −2.24686 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −12.8549 | −0.652608 | ||||||||
\(389\) | 10.5574 | + | 18.2859i | 0.535281 | + | 0.927133i | 0.999150 | + | 0.0412294i | \(0.0131274\pi\) |
−0.463869 | + | 0.885904i | \(0.653539\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.08604 | − | 8.80928i | 0.257212 | − | 0.445504i | ||||
\(392\) | 9.04709 | − | 15.6700i | 0.456947 | − | 0.791455i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.0757 | − | 26.1118i | −0.759501 | − | 1.31549i | ||||
\(395\) | −9.42776 | −0.474362 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.77909 | −0.490799 | −0.245399 | − | 0.969422i | \(-0.578919\pi\) | ||||
−0.245399 | + | 0.969422i | \(0.578919\pi\) | |||||||
\(398\) | 21.5995 | + | 37.4114i | 1.08268 | + | 1.87526i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.961021 | + | 1.66454i | −0.0480510 | + | 0.0832268i | ||||
\(401\) | 9.56967 | − | 16.5752i | 0.477886 | − | 0.827724i | −0.521792 | − | 0.853073i | \(-0.674736\pi\) |
0.999679 | + | 0.0253491i | \(0.00806972\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.895952 | + | 1.55183i | 0.0446305 | + | 0.0773024i | ||||
\(404\) | 46.7423 | 2.32552 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.7234 | −1.52478 | ||||||||
\(407\) | −18.6127 | − | 32.2381i | −0.922597 | − | 1.59799i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.49778 | + | 12.9865i | −0.370741 | + | 0.642143i | −0.989680 | − | 0.143297i | \(-0.954230\pi\) |
0.618938 | + | 0.785439i | \(0.287563\pi\) | |||||||
\(410\) | −4.97407 | + | 8.61534i | −0.245652 | + | 0.425481i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.3281 | − | 19.6209i | −0.558096 | − | 0.966651i | ||||
\(413\) | 1.27160 | 0.0625712 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.5058 | 0.859325 | ||||||||
\(416\) | 4.82446 | + | 8.35621i | 0.236539 | + | 0.409697i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.10357 | + | 14.0358i | −0.396359 | + | 0.686513i | ||||
\(419\) | −2.90590 | + | 5.03317i | −0.141963 | + | 0.245886i | −0.928236 | − | 0.371993i | \(-0.878675\pi\) |
0.786273 | + | 0.617879i | \(0.212008\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.65676 | + | 11.5298i | 0.324431 | + | 0.561930i | 0.981397 | − | 0.191990i | \(-0.0614940\pi\) |
−0.656966 | + | 0.753920i | \(0.728161\pi\) | |||||||
\(422\) | 20.9598 | 1.02031 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.93538 | 0.336812 | ||||||||
\(425\) | 0.840517 | + | 1.45582i | 0.0407711 | + | 0.0706175i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.8019 | − | 18.7094i | 0.522740 | − | 0.905412i | ||||
\(428\) | −9.34198 | + | 16.1808i | −0.451562 | + | 0.782128i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.0689 | + | 20.9040i | 0.582014 | + | 1.00808i | ||||
\(431\) | −36.4166 | −1.75413 | −0.877064 | − | 0.480374i | \(-0.840501\pi\) | ||||
−0.877064 | + | 0.480374i | \(0.840501\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.8761 | −0.522674 | −0.261337 | − | 0.965248i | \(-0.584163\pi\) | ||||
−0.261337 | + | 0.965248i | \(0.584163\pi\) | |||||||
\(434\) | 7.59160 | + | 13.1490i | 0.364408 | + | 0.631174i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.07423 | − | 12.2529i | 0.338794 | − | 0.586809i | ||||
\(437\) | −3.95499 | + | 6.85025i | −0.189193 | + | 0.327692i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.72663 | − | 8.18677i | −0.225590 | − | 0.390733i | 0.730906 | − | 0.682478i | \(-0.239098\pi\) |
−0.956496 | + | 0.291745i | \(0.905764\pi\) | |||||||
\(440\) | 9.41811 | 0.448991 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.10780 | 0.290518 | ||||||||
\(443\) | −8.26196 | − | 14.3101i | −0.392537 | − | 0.679895i | 0.600246 | − | 0.799815i | \(-0.295069\pi\) |
−0.992783 | + | 0.119921i | \(0.961736\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.5649 | − | 30.4232i | 0.832654 | − | 1.44220i | ||||
\(446\) | 16.0136 | − | 27.7363i | 0.758264 | − | 1.31335i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 27.7751 | + | 48.1080i | 1.31225 | + | 2.27289i | ||||
\(449\) | −4.74362 | −0.223865 | −0.111933 | − | 0.993716i | \(-0.535704\pi\) | ||||
−0.111933 | + | 0.993716i | \(0.535704\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.38002 | 0.441688 | ||||||||
\(452\) | 3.02225 | + | 5.23470i | 0.142155 | + | 0.246219i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −24.1112 | + | 41.7618i | −1.13159 | + | 1.95998i | ||||
\(455\) | −6.10519 | + | 10.5745i | −0.286216 | + | 0.495741i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.2043 | + | 19.4064i | 0.524114 | + | 0.907792i | 0.999606 | + | 0.0280718i | \(0.00893670\pi\) |
−0.475492 | + | 0.879720i | \(0.657730\pi\) | |||||||
\(458\) | −18.5232 | −0.865534 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.4214 | 1.04540 | ||||||||
\(461\) | 7.46113 | + | 12.9231i | 0.347499 | + | 0.601887i | 0.985805 | − | 0.167897i | \(-0.0536975\pi\) |
−0.638305 | + | 0.769783i | \(0.720364\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.42359 | − | 12.8580i | 0.345003 | − | 0.597563i | −0.640351 | − | 0.768082i | \(-0.721211\pi\) |
0.985354 | + | 0.170519i | \(0.0545444\pi\) | |||||||
\(464\) | 4.02920 | − | 6.97878i | 0.187051 | − | 0.323982i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −25.0636 | − | 43.4114i | −1.16105 | − | 2.01100i | ||||
\(467\) | −15.3514 | −0.710379 | −0.355190 | − | 0.934794i | \(-0.615584\pi\) | ||||
−0.355190 | + | 0.934794i | \(0.615584\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 20.0304 | 0.924917 | ||||||||
\(470\) | −15.8058 | − | 27.3764i | −0.729067 | − | 1.26278i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.143714 | − | 0.248920i | 0.00661496 | − | 0.0114574i | ||||
\(473\) | 11.3797 | − | 19.7102i | 0.523238 | − | 0.906275i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.653601 | − | 1.13207i | −0.0299893 | − | 0.0519429i | ||||
\(476\) | 28.8317 | 1.32150 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −21.1536 | −0.967545 | ||||||||
\(479\) | −5.22430 | − | 9.04876i | −0.238705 | − | 0.413448i | 0.721638 | − | 0.692270i | \(-0.243389\pi\) |
−0.960343 | + | 0.278822i | \(0.910056\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.45449 | − | 9.44745i | 0.248703 | − | 0.430766i | ||||
\(482\) | 6.07062 | − | 10.5146i | 0.276509 | − | 0.478928i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.82178 | − | 13.5477i | −0.355536 | − | 0.615806i | ||||
\(485\) | 10.5820 | 0.480505 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.1649 | −0.732500 | −0.366250 | − | 0.930516i | \(-0.619359\pi\) | ||||
−0.366250 | + | 0.930516i | \(0.619359\pi\) | |||||||
\(488\) | −2.44162 | − | 4.22901i | −0.110527 | − | 0.191438i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −36.3278 | + | 62.9217i | −1.64112 | + | 2.84251i | ||||
\(491\) | 5.38867 | − | 9.33345i | 0.243187 | − | 0.421213i | −0.718433 | − | 0.695596i | \(-0.755140\pi\) |
0.961620 | + | 0.274383i | \(0.0884737\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.52397 | − | 6.10370i | −0.158712 | − | 0.274897i | ||||
\(494\) | −4.74953 | −0.213692 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.98238 | −0.178814 | ||||||||
\(497\) | −7.48032 | − | 12.9563i | −0.335538 | − | 0.581169i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.59359 | − | 16.6166i | 0.429468 | − | 0.743861i | −0.567358 | − | 0.823471i | \(-0.692034\pi\) |
0.996826 | + | 0.0796106i | \(0.0253677\pi\) | |||||||
\(500\) | −14.8776 | + | 25.7687i | −0.665346 | + | 1.15241i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.74537 | − | 13.4154i | −0.345693 | − | 0.598758i | ||||
\(503\) | −12.0251 | −0.536171 | −0.268086 | − | 0.963395i | \(-0.586391\pi\) | ||||
−0.268086 | + | 0.963395i | \(0.586391\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −38.4778 | −1.71224 | ||||||||
\(506\) | −18.9740 | − | 32.8639i | −0.843496 | − | 1.46098i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 11.6161 | − | 20.1196i | 0.515380 | − | 0.892664i | ||||
\(509\) | 7.47651 | − | 12.9497i | 0.331391 | − | 0.573985i | −0.651394 | − | 0.758739i | \(-0.725816\pi\) |
0.982785 | + | 0.184754i | \(0.0591489\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −30.9347 | − | 53.5804i | −1.36847 | − | 2.37026i | ||||
\(512\) | −27.3678 | −1.20950 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 49.3922 | 2.17860 | ||||||||
\(515\) | 9.32521 | + | 16.1517i | 0.410918 | + | 0.711730i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.9032 | + | 25.8130i | −0.655440 | + | 1.13526i | ||||
\(518\) | 46.2171 | − | 80.0503i | 2.03066 | − | 3.51721i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.38000 | + | 2.39023i | 0.0605169 | + | 0.104818i | ||||
\(521\) | 37.4188 | 1.63935 | 0.819673 | − | 0.572832i | \(-0.194155\pi\) | ||||
0.819673 | + | 0.572832i | \(0.194155\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.44979 | −0.369483 | −0.184742 | − | 0.982787i | \(-0.559145\pi\) | ||||
−0.184742 | + | 0.982787i | \(0.559145\pi\) | |||||||
\(524\) | 19.2945 | + | 33.4191i | 0.842885 | + | 1.45992i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.1125 | + | 50.4243i | −1.26936 | + | 2.19860i | ||||
\(527\) | −1.74151 | + | 3.01639i | −0.0758615 | + | 0.131396i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.23965 | + | 3.87918i | 0.0973760 | + | 0.168660i | ||||
\(530\) | −27.8484 | −1.20966 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −22.4201 | −0.972033 | ||||||||
\(533\) | 1.37442 | + | 2.38056i | 0.0595326 | + | 0.103113i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.69023 | − | 13.3199i | 0.332478 | − | 0.575868i | ||||
\(536\) | 2.26380 | − | 3.92101i | 0.0977812 | − | 0.169362i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.0086 | + | 17.3354i | 0.431501 | + | 0.747382i | ||||
\(539\) | 68.5065 | 2.95078 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.6259 | 0.542828 | 0.271414 | − | 0.962463i | \(-0.412509\pi\) | ||||
0.271414 | + | 0.962463i | \(0.412509\pi\) | |||||||
\(542\) | 27.9225 | + | 48.3633i | 1.19938 | + | 2.07738i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.37758 | + | 16.2424i | −0.402060 | + | 0.696389i | ||||
\(545\) | −5.82345 | + | 10.0865i | −0.249449 | + | 0.432058i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.6975 | − | 27.1889i | −0.671178 | − | 1.16251i | −0.977570 | − | 0.210609i | \(-0.932455\pi\) |
0.306393 | − | 0.951905i | \(-0.400878\pi\) | |||||||
\(548\) | −9.16731 | −0.391608 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.27126 | 0.267407 | ||||||||
\(551\) | 2.74030 | + | 4.74634i | 0.116741 | + | 0.202201i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.0366 | + | 19.1159i | −0.469322 | + | 0.812890i | ||||
\(554\) | 0.398243 | − | 0.689777i | 0.0169197 | − | 0.0293058i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −16.6989 | − | 28.9234i | −0.708193 | − | 1.22663i | ||||
\(557\) | −15.9303 | −0.674988 | −0.337494 | − | 0.941328i | \(-0.609579\pi\) | ||||
−0.337494 | + | 0.941328i | \(0.609579\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.66967 | 0.282097 | ||||||||
\(560\) | −13.5684 | − | 23.5011i | −0.573369 | − | 0.993103i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.8556 | − | 25.7307i | 0.626647 | − | 1.08538i | ||||
\(563\) | 12.4304 | − | 21.5301i | 0.523880 | − | 0.907387i | −0.475734 | − | 0.879589i | \(-0.657817\pi\) |
0.999614 | − | 0.0277973i | \(-0.00884931\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.48789 | − | 4.30915i | −0.104666 | − | 0.181287i | ||||
\(566\) | −33.0695 | −1.39001 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.38165 | −0.141891 | ||||||||
\(569\) | −9.59500 | − | 16.6190i | −0.402243 | − | 0.696706i | 0.591753 | − | 0.806119i | \(-0.298436\pi\) |
−0.993996 | + | 0.109413i | \(0.965103\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.1896 | − | 17.6489i | 0.426422 | − | 0.738585i | −0.570130 | − | 0.821555i | \(-0.693107\pi\) |
0.996552 | + | 0.0829696i | \(0.0264404\pi\) | |||||||
\(572\) | 6.34703 | − | 10.9934i | 0.265383 | − | 0.459656i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.6457 | + | 20.1710i | 0.486084 | + | 0.841921i | ||||
\(575\) | 3.06072 | 0.127641 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.2991 | 0.969953 | 0.484976 | − | 0.874527i | \(-0.338828\pi\) | ||||
0.484976 | + | 0.874527i | \(0.338828\pi\) | |||||||
\(578\) | −12.1267 | − | 21.0041i | −0.504404 | − | 0.873654i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.76758 | − | 13.4539i | 0.322531 | − | 0.558641i | ||||
\(581\) | 20.4931 | − | 35.4950i | 0.850195 | − | 1.47258i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.1290 | + | 22.7402i | 0.543749 | + | 0.941802i | ||||
\(584\) | −13.9847 | −0.578693 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −52.3272 | −2.16162 | ||||||||
\(587\) | 18.4546 | + | 31.9644i | 0.761704 | + | 1.31931i | 0.941971 | + | 0.335693i | \(0.108970\pi\) |
−0.180267 | + | 0.983618i | \(0.557696\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.35423 | − | 2.34560i | 0.0558001 | − | 0.0966486i | ||||
\(590\) | −0.577071 | + | 0.999516i | −0.0237576 | + | 0.0411494i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.1222 | + | 20.9963i | 0.498220 | + | 0.862943i | ||||
\(593\) | 4.36830 | 0.179385 | 0.0896923 | − | 0.995970i | \(-0.471412\pi\) | ||||
0.0896923 | + | 0.995970i | \(0.471412\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7340 | −0.973000 | ||||||||
\(596\) | −11.2089 | − | 19.4144i | −0.459134 | − | 0.795244i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.56036 | − | 9.63082i | 0.227380 | − | 0.393833i | ||||
\(599\) | 15.6028 | − | 27.0249i | 0.637513 | − | 1.10421i | −0.348463 | − | 0.937322i | \(-0.613296\pi\) |
0.985977 | − | 0.166883i | \(-0.0533702\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21.9686 | − | 38.0507i | −0.896116 | − | 1.55212i | −0.832417 | − | 0.554149i | \(-0.813044\pi\) |
−0.0636987 | − | 0.997969i | \(-0.520290\pi\) | |||||||
\(602\) | 56.5136 | 2.30332 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.79223 | −0.0729247 | ||||||||
\(605\) | 6.43882 | + | 11.1524i | 0.261775 | + | 0.453408i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.67933 | + | 15.0330i | −0.352283 | + | 0.610172i | −0.986649 | − | 0.162861i | \(-0.947928\pi\) |
0.634366 | + | 0.773033i | \(0.281261\pi\) | |||||||
\(608\) | 7.29217 | − | 12.6304i | 0.295736 | − | 0.512231i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.80413 | + | 16.9813i | 0.396958 | + | 0.687551i | ||||
\(611\) | −8.73480 | −0.353372 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.19805 | −0.0483887 | −0.0241944 | − | 0.999707i | \(-0.507702\pi\) | ||||
−0.0241944 | + | 0.999707i | \(0.507702\pi\) | |||||||
\(614\) | −21.6659 | − | 37.5265i | −0.874365 | − | 1.51444i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.0253 | − | 19.0963i | 0.444221 | − | 0.769413i | ||||
\(617\) | −13.0069 | + | 22.5285i | −0.523636 | + | 0.906965i | 0.475985 | + | 0.879453i | \(0.342092\pi\) |
−0.999621 | + | 0.0275115i | \(0.991242\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.81567 | − | 8.34099i | −0.193558 | − | 0.335253i | 0.752869 | − | 0.658171i | \(-0.228670\pi\) |
−0.946427 | + | 0.322918i | \(0.895336\pi\) | |||||||
\(620\) | −7.67733 | −0.308329 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −47.1311 | −1.88978 | ||||||||
\(623\) | −41.1244 | − | 71.2296i | −1.64762 | − | 2.85375i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.4691 | − | 18.1330i | 0.418763 | − | 0.725319i | ||||
\(626\) | −11.8705 | + | 20.5602i | −0.474439 | + | 0.821752i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 17.3814 | + | 30.1054i | 0.693592 | + | 1.20134i | ||||
\(629\) | 21.2044 | 0.845474 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.1673 | −0.563992 | −0.281996 | − | 0.959416i | \(-0.590997\pi\) | ||||
−0.281996 | + | 0.959416i | \(0.590997\pi\) | |||||||
\(632\) | 2.49467 | + | 4.32089i | 0.0992325 | + | 0.171876i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 26.7931 | − | 46.4069i | 1.06409 | − | 1.84306i | ||||
\(635\) | −9.56225 | + | 16.5623i | −0.379466 | + | 0.657255i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.0380 | + | 17.3863i | 0.397719 | + | 0.688870i | ||||
\(638\) | −26.2930 | −1.04095 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −17.5539 | −0.693879 | ||||||||
\(641\) | −11.1005 | − | 19.2266i | −0.438442 | − | 0.759403i | 0.559128 | − | 0.829081i | \(-0.311136\pi\) |
−0.997570 | + | 0.0696782i | \(0.977803\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.7684 | + | 18.6514i | −0.424664 | + | 0.735540i | −0.996389 | − | 0.0849056i | \(-0.972941\pi\) |
0.571725 | + | 0.820445i | \(0.306274\pi\) | |||||||
\(644\) | 26.2475 | − | 45.4621i | 1.03430 | − | 1.79146i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.61597 | − | 7.99509i | −0.181613 | − | 0.314563i | ||||
\(647\) | 13.4037 | 0.526952 | 0.263476 | − | 0.964666i | \(-0.415131\pi\) | ||||
0.263476 | + | 0.964666i | \(0.415131\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.08823 | 0.0427168 | ||||||||
\(650\) | 0.918902 | + | 1.59159i | 0.0360423 | + | 0.0624271i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.50091 | − | 2.59966i | 0.0587802 | − | 0.101810i | ||||
\(653\) | 9.45543 | − | 16.3773i | 0.370020 | − | 0.640893i | −0.619548 | − | 0.784958i | \(-0.712684\pi\) |
0.989568 | + | 0.144066i | \(0.0460176\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −15.8831 | − | 27.5103i | −0.620603 | − | 1.07492i | ||||
\(656\) | −6.10909 | −0.238520 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −74.0119 | −2.88528 | ||||||||
\(659\) | 0.0140907 | + | 0.0244058i | 0.000548897 | + | 0.000950717i | 0.866300 | − | 0.499525i | \(-0.166492\pi\) |
−0.865751 | + | 0.500475i | \(0.833159\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.5209 | − | 39.0073i | 0.875960 | − | 1.51721i | 0.0202238 | − | 0.999795i | \(-0.493562\pi\) |
0.855736 | − | 0.517412i | \(-0.173105\pi\) | |||||||
\(662\) | −27.8014 | + | 48.1535i | −1.08053 | + | 1.87154i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.63218 | − | 8.02317i | −0.179763 | − | 0.311359i | ||||
\(665\) | 18.4560 | 0.715693 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.8325 | −0.496875 | ||||||||
\(668\) | 30.1089 | + | 52.1501i | 1.16495 | + | 2.01775i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.09010 | + | 15.7445i | −0.351181 | + | 0.608263i | ||||
\(671\) | 9.24424 | − | 16.0115i | 0.356870 | − | 0.618117i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.87984 | + | 8.45214i | 0.188104 | + | 0.325806i | 0.944618 | − | 0.328172i | \(-0.106432\pi\) |
−0.756514 | + | 0.653978i | \(0.773099\pi\) | |||||||
\(674\) | −23.2607 | −0.895968 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −28.9847 | −1.11480 | ||||||||
\(677\) | −20.4404 | − | 35.4038i | −0.785588 | − | 1.36068i | −0.928647 | − | 0.370964i | \(-0.879027\pi\) |
0.143060 | − | 0.989714i | \(-0.454306\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.3878 | − | 21.4563i | 0.475400 | − | 0.823417i | ||||
\(680\) | −2.68238 | + | 4.64602i | −0.102865 | + | 0.178167i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.49688 | + | 11.2529i | 0.248779 | + | 0.430897i | ||||
\(683\) | −44.0251 | −1.68457 | −0.842287 | − | 0.539029i | \(-0.818791\pi\) | ||||
−0.842287 | + | 0.539029i | \(0.818791\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.54644 | 0.288335 | ||||||||
\(686\) | 48.9916 | + | 84.8559i | 1.87051 | + | 3.23981i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.41144 | + | 12.8370i | −0.282559 | + | 0.489406i | ||||
\(689\) | −3.84749 | + | 6.66405i | −0.146578 | + | 0.253880i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.7758 | − | 18.6642i | −0.409931 | − | 0.710021i | 0.584951 | − | 0.811069i | \(-0.301114\pi\) |
−0.994882 | + | 0.101048i | \(0.967781\pi\) | |||||||
\(692\) | −22.9939 | −0.874098 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.46603 | −0.283407 | ||||||||
\(695\) | 13.7464 | + | 23.8095i | 0.521432 | + | 0.903146i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.67153 | + | 4.62723i | −0.101191 | + | 0.175269i | ||||
\(698\) | −31.0221 | + | 53.7318i | −1.17420 | + | 2.03378i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.33766 | + | 7.51304i | 0.163948 | + | 0.283966i | ||||
\(701\) | −12.8521 | −0.485419 | −0.242709 | − | 0.970099i | \(-0.578036\pi\) | ||||
−0.242709 | + | 0.970099i | \(0.578036\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.4889 | −0.621891 | ||||||||
\(704\) | 23.7699 | + | 41.1707i | 0.895863 | + | 1.55168i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −26.6445 | + | 46.1496i | −1.00278 | + | 1.73686i | ||||
\(707\) | −45.0439 | + | 78.0183i | −1.69405 | + | 2.93418i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.8559 | + | 43.0516i | 0.933481 | + | 1.61684i | 0.777320 | + | 0.629105i | \(0.216578\pi\) |
0.156161 | + | 0.987732i | \(0.450088\pi\) | |||||||
\(710\) | 13.5787 | 0.509601 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −18.5912 | −0.696737 | ||||||||
\(713\) | 3.17084 | + | 5.49206i | 0.118749 | + | 0.205679i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.22482 | + | 9.04965i | −0.195397 | + | 0.338438i | ||||
\(716\) | −13.3344 | + | 23.0959i | −0.498330 | + | 0.863133i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.47026 | + | 7.74271i | 0.166828 | + | 0.288955i | ||||
\(719\) | −5.63745 | −0.210242 | −0.105121 | − | 0.994459i | \(-0.533523\pi\) | ||||
−0.105121 | + | 0.994459i | \(0.533523\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 43.6660 | 1.62621 | ||||||||
\(722\) | −16.5983 | − | 28.7491i | −0.617725 | − | 1.06993i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.84017 | − | 3.18727i | 0.0683893 | − | 0.118454i | ||||
\(725\) | 1.06034 | − | 1.83657i | 0.0393802 | − | 0.0682085i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.7071 | + | 39.3299i | 0.842161 | + | 1.45867i | 0.888064 | + | 0.459720i | \(0.152050\pi\) |
−0.0459026 | + | 0.998946i | \(0.514616\pi\) | |||||||
\(728\) | 6.46195 | 0.239496 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 56.1546 | 2.07837 | ||||||||
\(731\) | 6.48211 | + | 11.2273i | 0.239749 | + | 0.415258i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.8334 | − | 22.2281i | 0.474013 | − | 0.821015i | −0.525544 | − | 0.850766i | \(-0.676138\pi\) |
0.999557 | + | 0.0297511i | \(0.00947148\pi\) | |||||||
\(734\) | 18.5904 | − | 32.1996i | 0.686185 | − | 1.18851i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.0741 | + | 29.5733i | 0.629361 | + | 1.09008i | ||||
\(737\) | 17.1420 | 0.631433 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.4553 | −0.531745 | −0.265873 | − | 0.964008i | \(-0.585660\pi\) | ||||
−0.265873 | + | 0.964008i | \(0.585660\pi\) | |||||||
\(740\) | 23.3695 | + | 40.4772i | 0.859080 | + | 1.48797i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −32.6006 | + | 56.4660i | −1.19681 | + | 2.07293i | ||||
\(743\) | −17.3969 | + | 30.1323i | −0.638229 | + | 1.10545i | 0.347592 | + | 0.937646i | \(0.386999\pi\) |
−0.985821 | + | 0.167799i | \(0.946334\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.22706 | + | 15.9817i | 0.338053 | + | 0.585525i | ||||
\(746\) | 63.0168 | 2.30721 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 24.6742 | 0.902177 | ||||||||
\(749\) | −18.0051 | − | 31.1857i | −0.657891 | − | 1.13950i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.05922 | + | 15.6910i | −0.330576 | + | 0.572574i | −0.982625 | − | 0.185603i | \(-0.940576\pi\) |
0.652049 | + | 0.758177i | \(0.273910\pi\) | |||||||
\(752\) | 9.70624 | − | 16.8117i | 0.353950 | − | 0.613060i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.85261 | − | 6.67292i | −0.140304 | − | 0.243013i | ||||
\(755\) | 1.47535 | 0.0536933 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0045 | −1.34495 | −0.672475 | − | 0.740120i | \(-0.734769\pi\) | ||||
−0.672475 | + | 0.740120i | \(0.734769\pi\) | |||||||
\(758\) | 22.2621 | + | 38.5592i | 0.808598 | + | 1.40053i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.08587 | − | 3.61282i | 0.0756623 | − | 0.131051i | ||||
\(761\) | 6.22221 | − | 10.7772i | 0.225555 | − | 0.390673i | −0.730931 | − | 0.682452i | \(-0.760914\pi\) |
0.956486 | + | 0.291779i | \(0.0942472\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 13.6344 | + | 23.6154i | 0.493598 | + | 0.854936i | ||||
\(764\) | 31.2513 | 1.13063 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −21.0309 | −0.759878 | ||||||||
\(767\) | 0.159454 | + | 0.276183i | 0.00575755 | + | 0.00997238i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.4428 | − | 35.4079i | 0.737186 | − | 1.27684i | −0.216572 | − | 0.976267i | \(-0.569488\pi\) |
0.953758 | − | 0.300576i | \(-0.0971790\pi\) | |||||||
\(770\) | −44.2711 | + | 76.6797i | −1.59542 | + | 2.76335i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −26.1302 | − | 45.2588i | −0.940446 | − | 1.62890i | ||||
\(773\) | −36.4162 | −1.30980 | −0.654900 | − | 0.755716i | \(-0.727289\pi\) | ||||
−0.654900 | + | 0.755716i | \(0.727289\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.04802 | −0.0376461 | ||||||||
\(776\) | −2.80010 | − | 4.84991i | −0.100518 | − | 0.174102i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −22.4347 | + | 38.8581i | −0.804324 | + | 1.39313i | ||||
\(779\) | 2.07743 | − | 3.59821i | 0.0744316 | − | 0.128919i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.40165 | − | 11.0880i | −0.229069 | − | 0.396759i | ||||
\(782\) | 21.6160 | 0.772985 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −44.6174 | −1.59348 | ||||||||
\(785\) | −14.3082 |