Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(43,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 43.2 | ||
Root | \(-1.18614 + 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.43 |
Dual form | 126.2.f.d.85.2 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 1.18614 | − | 1.26217i | 0.684819 | − | 0.728714i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0.686141 | + | 1.18843i | 0.306851 | + | 0.531482i | 0.977672 | − | 0.210138i | \(-0.0673912\pi\) |
−0.670820 | + | 0.741620i | \(0.734058\pi\) | |||||||
\(6\) | −0.500000 | − | 1.65831i | −0.204124 | − | 0.677003i | ||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.186141 | − | 2.99422i | −0.0620469 | − | 0.998073i | ||||
\(10\) | 1.37228 | 0.433953 | ||||||||
\(11\) | −2.18614 | + | 3.78651i | −0.659146 | + | 1.14167i | 0.321691 | + | 0.946845i | \(0.395749\pi\) |
−0.980837 | + | 0.194830i | \(0.937584\pi\) | |||||||
\(12\) | −1.68614 | − | 0.396143i | −0.486747 | − | 0.114357i | ||||
\(13\) | −1.00000 | − | 1.73205i | −0.277350 | − | 0.480384i | 0.693375 | − | 0.720577i | \(-0.256123\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | 0.500000 | + | 0.866025i | 0.133631 | + | 0.231455i | ||||
\(15\) | 2.31386 | + | 0.543620i | 0.597436 | + | 0.140362i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −4.37228 | −1.06043 | −0.530217 | − | 0.847862i | \(-0.677890\pi\) | ||||
−0.530217 | + | 0.847862i | \(0.677890\pi\) | |||||||
\(18\) | −2.68614 | − | 1.33591i | −0.633129 | − | 0.314876i | ||||
\(19\) | 5.00000 | 1.14708 | 0.573539 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573539 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(20\) | 0.686141 | − | 1.18843i | 0.153426 | − | 0.265741i | ||||
\(21\) | 0.500000 | + | 1.65831i | 0.109109 | + | 0.361873i | ||||
\(22\) | 2.18614 | + | 3.78651i | 0.466087 | + | 0.807286i | ||||
\(23\) | 3.68614 | + | 6.38458i | 0.768613 | + | 1.33128i | 0.938315 | + | 0.345782i | \(0.112386\pi\) |
−0.169701 | + | 0.985496i | \(0.554280\pi\) | |||||||
\(24\) | −1.18614 | + | 1.26217i | −0.242120 | + | 0.257639i | ||||
\(25\) | 1.55842 | − | 2.69927i | 0.311684 | − | 0.539853i | ||||
\(26\) | −2.00000 | −0.392232 | ||||||||
\(27\) | −4.00000 | − | 3.31662i | −0.769800 | − | 0.638285i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −1.37228 | + | 2.37686i | −0.254826 | + | 0.441372i | −0.964848 | − | 0.262807i | \(-0.915352\pi\) |
0.710022 | + | 0.704179i | \(0.248685\pi\) | |||||||
\(30\) | 1.62772 | − | 1.73205i | 0.297179 | − | 0.316228i | ||||
\(31\) | −1.00000 | − | 1.73205i | −0.179605 | − | 0.311086i | 0.762140 | − | 0.647412i | \(-0.224149\pi\) |
−0.941745 | + | 0.336327i | \(0.890815\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.18614 | + | 7.25061i | 0.380558 | + | 1.26217i | ||||
\(34\) | −2.18614 | + | 3.78651i | −0.374920 | + | 0.649381i | ||||
\(35\) | −1.37228 | −0.231958 | ||||||||
\(36\) | −2.50000 | + | 1.65831i | −0.416667 | + | 0.276385i | ||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 2.50000 | − | 4.33013i | 0.405554 | − | 0.702439i | ||||
\(39\) | −3.37228 | − | 0.792287i | −0.539997 | − | 0.126867i | ||||
\(40\) | −0.686141 | − | 1.18843i | −0.108488 | − | 0.187907i | ||||
\(41\) | −5.18614 | − | 8.98266i | −0.809939 | − | 1.40286i | −0.912906 | − | 0.408171i | \(-0.866167\pi\) |
0.102966 | − | 0.994685i | \(-0.467167\pi\) | |||||||
\(42\) | 1.68614 | + | 0.396143i | 0.260177 | + | 0.0611263i | ||||
\(43\) | −4.55842 | + | 7.89542i | −0.695153 | + | 1.20404i | 0.274976 | + | 0.961451i | \(0.411330\pi\) |
−0.970129 | + | 0.242589i | \(0.922003\pi\) | |||||||
\(44\) | 4.37228 | 0.659146 | ||||||||
\(45\) | 3.43070 | − | 2.27567i | 0.511419 | − | 0.339237i | ||||
\(46\) | 7.37228 | 1.08698 | ||||||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 0.500000 | + | 1.65831i | 0.0721688 | + | 0.239357i | ||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | −1.55842 | − | 2.69927i | −0.220394 | − | 0.381734i | ||||
\(51\) | −5.18614 | + | 5.51856i | −0.726205 | + | 0.772753i | ||||
\(52\) | −1.00000 | + | 1.73205i | −0.138675 | + | 0.240192i | ||||
\(53\) | 2.74456 | 0.376995 | 0.188497 | − | 0.982074i | \(-0.439638\pi\) | ||||
0.188497 | + | 0.982074i | \(0.439638\pi\) | |||||||
\(54\) | −4.87228 | + | 1.80579i | −0.663034 | + | 0.245737i | ||||
\(55\) | −6.00000 | −0.809040 | ||||||||
\(56\) | 0.500000 | − | 0.866025i | 0.0668153 | − | 0.115728i | ||||
\(57\) | 5.93070 | − | 6.31084i | 0.785541 | − | 0.835892i | ||||
\(58\) | 1.37228 | + | 2.37686i | 0.180189 | + | 0.312097i | ||||
\(59\) | −3.55842 | − | 6.16337i | −0.463267 | − | 0.802402i | 0.535854 | − | 0.844310i | \(-0.319990\pi\) |
−0.999121 | + | 0.0419083i | \(0.986656\pi\) | |||||||
\(60\) | −0.686141 | − | 2.27567i | −0.0885804 | − | 0.293788i | ||||
\(61\) | 7.05842 | − | 12.2255i | 0.903738 | − | 1.56532i | 0.0811364 | − | 0.996703i | \(-0.474145\pi\) |
0.822602 | − | 0.568618i | \(-0.192522\pi\) | |||||||
\(62\) | −2.00000 | −0.254000 | ||||||||
\(63\) | 2.68614 | + | 1.33591i | 0.338422 | + | 0.168309i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.37228 | − | 2.37686i | 0.170211 | − | 0.294813i | ||||
\(66\) | 7.37228 | + | 1.73205i | 0.907465 | + | 0.213201i | ||||
\(67\) | −7.55842 | − | 13.0916i | −0.923408 | − | 1.59939i | −0.794101 | − | 0.607785i | \(-0.792058\pi\) |
−0.129307 | − | 0.991605i | \(-0.541275\pi\) | |||||||
\(68\) | 2.18614 | + | 3.78651i | 0.265108 | + | 0.459181i | ||||
\(69\) | 12.4307 | + | 2.92048i | 1.49648 | + | 0.351585i | ||||
\(70\) | −0.686141 | + | 1.18843i | −0.0820095 | + | 0.142045i | ||||
\(71\) | 10.1168 | 1.20065 | 0.600324 | − | 0.799757i | \(-0.295038\pi\) | ||||
0.600324 | + | 0.799757i | \(0.295038\pi\) | |||||||
\(72\) | 0.186141 | + | 2.99422i | 0.0219369 | + | 0.352872i | ||||
\(73\) | −5.11684 | −0.598881 | −0.299441 | − | 0.954115i | \(-0.596800\pi\) | ||||
−0.299441 | + | 0.954115i | \(0.596800\pi\) | |||||||
\(74\) | 1.00000 | − | 1.73205i | 0.116248 | − | 0.201347i | ||||
\(75\) | −1.55842 | − | 5.16870i | −0.179951 | − | 0.596830i | ||||
\(76\) | −2.50000 | − | 4.33013i | −0.286770 | − | 0.496700i | ||||
\(77\) | −2.18614 | − | 3.78651i | −0.249134 | − | 0.431512i | ||||
\(78\) | −2.37228 | + | 2.52434i | −0.268608 | + | 0.285825i | ||||
\(79\) | −6.05842 | + | 10.4935i | −0.681626 | + | 1.18061i | 0.292859 | + | 0.956156i | \(0.405393\pi\) |
−0.974485 | + | 0.224455i | \(0.927940\pi\) | |||||||
\(80\) | −1.37228 | −0.153426 | ||||||||
\(81\) | −8.93070 | + | 1.11469i | −0.992300 | + | 0.123855i | ||||
\(82\) | −10.3723 | −1.14543 | ||||||||
\(83\) | 2.74456 | − | 4.75372i | 0.301255 | − | 0.521789i | −0.675166 | − | 0.737666i | \(-0.735928\pi\) |
0.976420 | + | 0.215877i | \(0.0692612\pi\) | |||||||
\(84\) | 1.18614 | − | 1.26217i | 0.129419 | − | 0.137714i | ||||
\(85\) | −3.00000 | − | 5.19615i | −0.325396 | − | 0.563602i | ||||
\(86\) | 4.55842 | + | 7.89542i | 0.491547 | + | 0.851385i | ||||
\(87\) | 1.37228 | + | 4.55134i | 0.147124 | + | 0.487955i | ||||
\(88\) | 2.18614 | − | 3.78651i | 0.233043 | − | 0.403643i | ||||
\(89\) | 3.25544 | 0.345076 | 0.172538 | − | 0.985003i | \(-0.444803\pi\) | ||||
0.172538 | + | 0.985003i | \(0.444803\pi\) | |||||||
\(90\) | −0.255437 | − | 4.10891i | −0.0269255 | − | 0.433117i | ||||
\(91\) | 2.00000 | 0.209657 | ||||||||
\(92\) | 3.68614 | − | 6.38458i | 0.384307 | − | 0.665639i | ||||
\(93\) | −3.37228 | − | 0.792287i | −0.349689 | − | 0.0821563i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.43070 | + | 5.94215i | 0.351983 | + | 0.609652i | ||||
\(96\) | 1.68614 | + | 0.396143i | 0.172091 | + | 0.0404312i | ||||
\(97\) | −4.55842 | + | 7.89542i | −0.462838 | + | 0.801658i | −0.999101 | − | 0.0423924i | \(-0.986502\pi\) |
0.536263 | + | 0.844051i | \(0.319835\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 11.7446 | + | 5.84096i | 1.18037 | + | 0.587039i | ||||
\(100\) | −3.11684 | −0.311684 | ||||||||
\(101\) | −3.68614 | + | 6.38458i | −0.366785 | + | 0.635290i | −0.989061 | − | 0.147508i | \(-0.952875\pi\) |
0.622276 | + | 0.782798i | \(0.286208\pi\) | |||||||
\(102\) | 2.18614 | + | 7.25061i | 0.216460 | + | 0.717917i | ||||
\(103\) | 5.00000 | + | 8.66025i | 0.492665 | + | 0.853320i | 0.999964 | − | 0.00844953i | \(-0.00268960\pi\) |
−0.507300 | + | 0.861770i | \(0.669356\pi\) | |||||||
\(104\) | 1.00000 | + | 1.73205i | 0.0980581 | + | 0.169842i | ||||
\(105\) | −1.62772 | + | 1.73205i | −0.158849 | + | 0.169031i | ||||
\(106\) | 1.37228 | − | 2.37686i | 0.133288 | − | 0.230861i | ||||
\(107\) | −1.62772 | −0.157358 | −0.0786788 | − | 0.996900i | \(-0.525070\pi\) | ||||
−0.0786788 | + | 0.996900i | \(0.525070\pi\) | |||||||
\(108\) | −0.872281 | + | 5.12241i | −0.0839353 | + | 0.492905i | ||||
\(109\) | 14.0000 | 1.34096 | 0.670478 | − | 0.741929i | \(-0.266089\pi\) | ||||
0.670478 | + | 0.741929i | \(0.266089\pi\) | |||||||
\(110\) | −3.00000 | + | 5.19615i | −0.286039 | + | 0.495434i | ||||
\(111\) | 2.37228 | − | 2.52434i | 0.225167 | − | 0.239600i | ||||
\(112\) | −0.500000 | − | 0.866025i | −0.0472456 | − | 0.0818317i | ||||
\(113\) | −0.686141 | − | 1.18843i | −0.0645467 | − | 0.111798i | 0.831946 | − | 0.554856i | \(-0.187227\pi\) |
−0.896493 | + | 0.443058i | \(0.853893\pi\) | |||||||
\(114\) | −2.50000 | − | 8.29156i | −0.234146 | − | 0.776576i | ||||
\(115\) | −5.05842 | + | 8.76144i | −0.471700 | + | 0.817009i | ||||
\(116\) | 2.74456 | 0.254826 | ||||||||
\(117\) | −5.00000 | + | 3.31662i | −0.462250 | + | 0.306622i | ||||
\(118\) | −7.11684 | −0.655159 | ||||||||
\(119\) | 2.18614 | − | 3.78651i | 0.200403 | − | 0.347108i | ||||
\(120\) | −2.31386 | − | 0.543620i | −0.211225 | − | 0.0496255i | ||||
\(121\) | −4.05842 | − | 7.02939i | −0.368947 | − | 0.639036i | ||||
\(122\) | −7.05842 | − | 12.2255i | −0.639040 | − | 1.10685i | ||||
\(123\) | −17.4891 | − | 4.10891i | −1.57694 | − | 0.370488i | ||||
\(124\) | −1.00000 | + | 1.73205i | −0.0898027 | + | 0.155543i | ||||
\(125\) | 11.1386 | 0.996266 | ||||||||
\(126\) | 2.50000 | − | 1.65831i | 0.222718 | − | 0.147734i | ||||
\(127\) | −14.1168 | −1.25267 | −0.626334 | − | 0.779555i | \(-0.715445\pi\) | ||||
−0.626334 | + | 0.779555i | \(0.715445\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 4.55842 | + | 15.1186i | 0.401347 | + | 1.33112i | ||||
\(130\) | −1.37228 | − | 2.37686i | −0.120357 | − | 0.208464i | ||||
\(131\) | 3.68614 | + | 6.38458i | 0.322060 | + | 0.557824i | 0.980913 | − | 0.194448i | \(-0.0622915\pi\) |
−0.658853 | + | 0.752271i | \(0.728958\pi\) | |||||||
\(132\) | 5.18614 | − | 5.51856i | 0.451396 | − | 0.480329i | ||||
\(133\) | −2.50000 | + | 4.33013i | −0.216777 | + | 0.375470i | ||||
\(134\) | −15.1168 | −1.30590 | ||||||||
\(135\) | 1.19702 | − | 7.02939i | 0.103023 | − | 0.604994i | ||||
\(136\) | 4.37228 | 0.374920 | ||||||||
\(137\) | −8.18614 | + | 14.1788i | −0.699389 | + | 1.21138i | 0.269289 | + | 0.963059i | \(0.413211\pi\) |
−0.968678 | + | 0.248318i | \(0.920122\pi\) | |||||||
\(138\) | 8.74456 | − | 9.30506i | 0.744387 | − | 0.792100i | ||||
\(139\) | 10.6168 | + | 18.3889i | 0.900509 | + | 1.55973i | 0.826835 | + | 0.562445i | \(0.190139\pi\) |
0.0736742 | + | 0.997282i | \(0.476528\pi\) | |||||||
\(140\) | 0.686141 | + | 1.18843i | 0.0579895 | + | 0.100441i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.05842 | − | 8.76144i | 0.424493 | − | 0.735244i | ||||
\(143\) | 8.74456 | 0.731257 | ||||||||
\(144\) | 2.68614 | + | 1.33591i | 0.223845 | + | 0.111326i | ||||
\(145\) | −3.76631 | −0.312775 | ||||||||
\(146\) | −2.55842 | + | 4.43132i | −0.211737 | + | 0.366738i | ||||
\(147\) | −1.68614 | − | 0.396143i | −0.139071 | − | 0.0326734i | ||||
\(148\) | −1.00000 | − | 1.73205i | −0.0821995 | − | 0.142374i | ||||
\(149\) | −7.37228 | − | 12.7692i | −0.603961 | − | 1.04609i | −0.992215 | − | 0.124538i | \(-0.960255\pi\) |
0.388254 | − | 0.921552i | \(-0.373078\pi\) | |||||||
\(150\) | −5.25544 | − | 1.23472i | −0.429105 | − | 0.100814i | ||||
\(151\) | 4.05842 | − | 7.02939i | 0.330270 | − | 0.572044i | −0.652295 | − | 0.757965i | \(-0.726194\pi\) |
0.982565 | + | 0.185921i | \(0.0595270\pi\) | |||||||
\(152\) | −5.00000 | −0.405554 | ||||||||
\(153\) | 0.813859 | + | 13.0916i | 0.0657966 | + | 1.05839i | ||||
\(154\) | −4.37228 | −0.352328 | ||||||||
\(155\) | 1.37228 | − | 2.37686i | 0.110224 | − | 0.190914i | ||||
\(156\) | 1.00000 | + | 3.31662i | 0.0800641 | + | 0.265543i | ||||
\(157\) | 4.05842 | + | 7.02939i | 0.323897 | + | 0.561007i | 0.981289 | − | 0.192543i | \(-0.0616734\pi\) |
−0.657391 | + | 0.753549i | \(0.728340\pi\) | |||||||
\(158\) | 6.05842 | + | 10.4935i | 0.481982 | + | 0.834818i | ||||
\(159\) | 3.25544 | − | 3.46410i | 0.258173 | − | 0.274721i | ||||
\(160\) | −0.686141 | + | 1.18843i | −0.0542442 | + | 0.0939537i | ||||
\(161\) | −7.37228 | −0.581017 | ||||||||
\(162\) | −3.50000 | + | 8.29156i | −0.274986 | + | 0.651447i | ||||
\(163\) | 16.2337 | 1.27152 | 0.635760 | − | 0.771887i | \(-0.280687\pi\) | ||||
0.635760 | + | 0.771887i | \(0.280687\pi\) | |||||||
\(164\) | −5.18614 | + | 8.98266i | −0.404970 | + | 0.701428i | ||||
\(165\) | −7.11684 | + | 7.57301i | −0.554046 | + | 0.589558i | ||||
\(166\) | −2.74456 | − | 4.75372i | −0.213019 | − | 0.368960i | ||||
\(167\) | −8.74456 | − | 15.1460i | −0.676675 | − | 1.17203i | −0.975976 | − | 0.217876i | \(-0.930087\pi\) |
0.299302 | − | 0.954158i | \(-0.403246\pi\) | |||||||
\(168\) | −0.500000 | − | 1.65831i | −0.0385758 | − | 0.127942i | ||||
\(169\) | 4.50000 | − | 7.79423i | 0.346154 | − | 0.599556i | ||||
\(170\) | −6.00000 | −0.460179 | ||||||||
\(171\) | −0.930703 | − | 14.9711i | −0.0711727 | − | 1.14487i | ||||
\(172\) | 9.11684 | 0.695153 | ||||||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | 4.62772 | + | 1.08724i | 0.350826 | + | 0.0824235i | ||||
\(175\) | 1.55842 | + | 2.69927i | 0.117806 | + | 0.204045i | ||||
\(176\) | −2.18614 | − | 3.78651i | −0.164787 | − | 0.285419i | ||||
\(177\) | −12.0000 | − | 2.81929i | −0.901975 | − | 0.211911i | ||||
\(178\) | 1.62772 | − | 2.81929i | 0.122003 | − | 0.211315i | ||||
\(179\) | 14.7446 | 1.10206 | 0.551030 | − | 0.834485i | \(-0.314235\pi\) | ||||
0.551030 | + | 0.834485i | \(0.314235\pi\) | |||||||
\(180\) | −3.68614 | − | 1.83324i | −0.274749 | − | 0.136642i | ||||
\(181\) | 18.1168 | 1.34661 | 0.673307 | − | 0.739363i | \(-0.264873\pi\) | ||||
0.673307 | + | 0.739363i | \(0.264873\pi\) | |||||||
\(182\) | 1.00000 | − | 1.73205i | 0.0741249 | − | 0.128388i | ||||
\(183\) | −7.05842 | − | 23.4101i | −0.521774 | − | 1.73053i | ||||
\(184\) | −3.68614 | − | 6.38458i | −0.271746 | − | 0.470678i | ||||
\(185\) | 1.37228 | + | 2.37686i | 0.100892 | + | 0.174750i | ||||
\(186\) | −2.37228 | + | 2.52434i | −0.173944 | + | 0.185093i | ||||
\(187\) | 9.55842 | − | 16.5557i | 0.698981 | − | 1.21067i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.87228 | − | 1.80579i | 0.354406 | − | 0.131352i | ||||
\(190\) | 6.86141 | 0.497779 | ||||||||
\(191\) | 0.941578 | − | 1.63086i | 0.0681302 | − | 0.118005i | −0.829948 | − | 0.557841i | \(-0.811630\pi\) |
0.898078 | + | 0.439836i | \(0.144963\pi\) | |||||||
\(192\) | 1.18614 | − | 1.26217i | 0.0856023 | − | 0.0910892i | ||||
\(193\) | 3.50000 | + | 6.06218i | 0.251936 | + | 0.436365i | 0.964059 | − | 0.265689i | \(-0.0855996\pi\) |
−0.712123 | + | 0.702055i | \(0.752266\pi\) | |||||||
\(194\) | 4.55842 | + | 7.89542i | 0.327276 | + | 0.566858i | ||||
\(195\) | −1.37228 | − | 4.55134i | −0.0982711 | − | 0.325928i | ||||
\(196\) | −0.500000 | + | 0.866025i | −0.0357143 | + | 0.0618590i | ||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | 10.9307 | − | 7.25061i | 0.776811 | − | 0.515278i | ||||
\(199\) | −10.0000 | −0.708881 | −0.354441 | − | 0.935079i | \(-0.615329\pi\) | ||||
−0.354441 | + | 0.935079i | \(0.615329\pi\) | |||||||
\(200\) | −1.55842 | + | 2.69927i | −0.110197 | + | 0.190867i | ||||
\(201\) | −25.4891 | − | 5.98844i | −1.79786 | − | 0.422392i | ||||
\(202\) | 3.68614 | + | 6.38458i | 0.259356 | + | 0.449218i | ||||
\(203\) | −1.37228 | − | 2.37686i | −0.0963153 | − | 0.166823i | ||||
\(204\) | 7.37228 | + | 1.73205i | 0.516163 | + | 0.121268i | ||||
\(205\) | 7.11684 | − | 12.3267i | 0.497062 | − | 0.860937i | ||||
\(206\) | 10.0000 | 0.696733 | ||||||||
\(207\) | 18.4307 | − | 12.2255i | 1.28102 | − | 0.849734i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | −10.9307 | + | 18.9325i | −0.756093 | + | 1.30959i | ||||
\(210\) | 0.686141 | + | 2.27567i | 0.0473482 | + | 0.157036i | ||||
\(211\) | 8.00000 | + | 13.8564i | 0.550743 | + | 0.953914i | 0.998221 | + | 0.0596196i | \(0.0189888\pi\) |
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(212\) | −1.37228 | − | 2.37686i | −0.0942487 | − | 0.163243i | ||||
\(213\) | 12.0000 | − | 12.7692i | 0.822226 | − | 0.874929i | ||||
\(214\) | −0.813859 | + | 1.40965i | −0.0556343 | + | 0.0963614i | ||||
\(215\) | −12.5109 | −0.853235 | ||||||||
\(216\) | 4.00000 | + | 3.31662i | 0.272166 | + | 0.225668i | ||||
\(217\) | 2.00000 | 0.135769 | ||||||||
\(218\) | 7.00000 | − | 12.1244i | 0.474100 | − | 0.821165i | ||||
\(219\) | −6.06930 | + | 6.45832i | −0.410125 | + | 0.436413i | ||||
\(220\) | 3.00000 | + | 5.19615i | 0.202260 | + | 0.350325i | ||||
\(221\) | 4.37228 | + | 7.57301i | 0.294111 | + | 0.509416i | ||||
\(222\) | −1.00000 | − | 3.31662i | −0.0671156 | − | 0.222597i | ||||
\(223\) | 2.00000 | − | 3.46410i | 0.133930 | − | 0.231973i | −0.791258 | − | 0.611482i | \(-0.790574\pi\) |
0.925188 | + | 0.379509i | \(0.123907\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −8.37228 | − | 4.16381i | −0.558152 | − | 0.277588i | ||||
\(226\) | −1.37228 | −0.0912828 | ||||||||
\(227\) | 11.8723 | − | 20.5634i | 0.787991 | − | 1.36484i | −0.139205 | − | 0.990264i | \(-0.544455\pi\) |
0.927196 | − | 0.374577i | \(-0.122212\pi\) | |||||||
\(228\) | −8.43070 | − | 1.98072i | −0.558337 | − | 0.131176i | ||||
\(229\) | 10.0584 | + | 17.4217i | 0.664679 | + | 1.15126i | 0.979372 | + | 0.202065i | \(0.0647651\pi\) |
−0.314693 | + | 0.949194i | \(0.601902\pi\) | |||||||
\(230\) | 5.05842 | + | 8.76144i | 0.333542 | + | 0.577713i | ||||
\(231\) | −7.37228 | − | 1.73205i | −0.485060 | − | 0.113961i | ||||
\(232\) | 1.37228 | − | 2.37686i | 0.0900947 | − | 0.156049i | ||||
\(233\) | −11.7446 | −0.769412 | −0.384706 | − | 0.923039i | \(-0.625697\pi\) | ||||
−0.384706 | + | 0.923039i | \(0.625697\pi\) | |||||||
\(234\) | 0.372281 | + | 5.98844i | 0.0243368 | + | 0.391477i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.55842 | + | 6.16337i | −0.231634 | + | 0.401201i | ||||
\(237\) | 6.05842 | + | 20.0935i | 0.393537 | + | 1.30521i | ||||
\(238\) | −2.18614 | − | 3.78651i | −0.141706 | − | 0.245443i | ||||
\(239\) | 9.43070 | + | 16.3345i | 0.610021 | + | 1.05659i | 0.991236 | + | 0.132102i | \(0.0421725\pi\) |
−0.381215 | + | 0.924487i | \(0.624494\pi\) | |||||||
\(240\) | −1.62772 | + | 1.73205i | −0.105069 | + | 0.111803i | ||||
\(241\) | −0.441578 | + | 0.764836i | −0.0284445 | + | 0.0492674i | −0.879897 | − | 0.475164i | \(-0.842389\pi\) |
0.851453 | + | 0.524431i | \(0.175722\pi\) | |||||||
\(242\) | −8.11684 | −0.521770 | ||||||||
\(243\) | −9.18614 | + | 12.5942i | −0.589291 | + | 0.807921i | ||||
\(244\) | −14.1168 | −0.903738 | ||||||||
\(245\) | 0.686141 | − | 1.18843i | 0.0438359 | − | 0.0759260i | ||||
\(246\) | −12.3030 | + | 13.0916i | −0.784410 | + | 0.834688i | ||||
\(247\) | −5.00000 | − | 8.66025i | −0.318142 | − | 0.551039i | ||||
\(248\) | 1.00000 | + | 1.73205i | 0.0635001 | + | 0.109985i | ||||
\(249\) | −2.74456 | − | 9.10268i | −0.173930 | − | 0.576859i | ||||
\(250\) | 5.56930 | − | 9.64630i | 0.352233 | − | 0.610086i | ||||
\(251\) | −9.00000 | −0.568075 | −0.284037 | − | 0.958813i | \(-0.591674\pi\) | ||||
−0.284037 | + | 0.958813i | \(0.591674\pi\) | |||||||
\(252\) | −0.186141 | − | 2.99422i | −0.0117258 | − | 0.188618i | ||||
\(253\) | −32.2337 | −2.02651 | ||||||||
\(254\) | −7.05842 | + | 12.2255i | −0.442885 | + | 0.767099i | ||||
\(255\) | −10.1168 | − | 2.37686i | −0.633541 | − | 0.148845i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −10.9307 | − | 18.9325i | −0.681839 | − | 1.18098i | −0.974419 | − | 0.224738i | \(-0.927847\pi\) |
0.292581 | − | 0.956241i | \(-0.405486\pi\) | |||||||
\(258\) | 15.3723 | + | 3.61158i | 0.957036 | + | 0.224847i | ||||
\(259\) | −1.00000 | + | 1.73205i | −0.0621370 | + | 0.107624i | ||||
\(260\) | −2.74456 | −0.170211 | ||||||||
\(261\) | 7.37228 | + | 3.66648i | 0.456333 | + | 0.226949i | ||||
\(262\) | 7.37228 | 0.455461 | ||||||||
\(263\) | −6.68614 | + | 11.5807i | −0.412285 | + | 0.714099i | −0.995139 | − | 0.0984781i | \(-0.968603\pi\) |
0.582854 | + | 0.812577i | \(0.301936\pi\) | |||||||
\(264\) | −2.18614 | − | 7.25061i | −0.134548 | − | 0.446244i | ||||
\(265\) | 1.88316 | + | 3.26172i | 0.115681 | + | 0.200366i | ||||
\(266\) | 2.50000 | + | 4.33013i | 0.153285 | + | 0.265497i | ||||
\(267\) | 3.86141 | − | 4.10891i | 0.236314 | − | 0.251461i | ||||
\(268\) | −7.55842 | + | 13.0916i | −0.461704 | + | 0.799695i | ||||
\(269\) | −7.37228 | −0.449496 | −0.224748 | − | 0.974417i | \(-0.572156\pi\) | ||||
−0.224748 | + | 0.974417i | \(0.572156\pi\) | |||||||
\(270\) | −5.48913 | − | 4.55134i | −0.334058 | − | 0.276986i | ||||
\(271\) | −18.2337 | −1.10762 | −0.553809 | − | 0.832644i | \(-0.686826\pi\) | ||||
−0.553809 | + | 0.832644i | \(0.686826\pi\) | |||||||
\(272\) | 2.18614 | − | 3.78651i | 0.132554 | − | 0.229591i | ||||
\(273\) | 2.37228 | − | 2.52434i | 0.143577 | − | 0.152780i | ||||
\(274\) | 8.18614 | + | 14.1788i | 0.494543 | + | 0.856573i | ||||
\(275\) | 6.81386 | + | 11.8020i | 0.410891 | + | 0.711684i | ||||
\(276\) | −3.68614 | − | 12.2255i | −0.221880 | − | 0.735891i | ||||
\(277\) | −11.1168 | + | 19.2549i | −0.667946 | + | 1.15692i | 0.310531 | + | 0.950563i | \(0.399493\pi\) |
−0.978477 | + | 0.206354i | \(0.933840\pi\) | |||||||
\(278\) | 21.2337 | 1.27351 | ||||||||
\(279\) | −5.00000 | + | 3.31662i | −0.299342 | + | 0.198561i | ||||
\(280\) | 1.37228 | 0.0820095 | ||||||||
\(281\) | −5.31386 | + | 9.20387i | −0.316998 | + | 0.549057i | −0.979860 | − | 0.199685i | \(-0.936008\pi\) |
0.662862 | + | 0.748742i | \(0.269342\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.94158 | − | 8.55906i | −0.293746 | − | 0.508784i | 0.680946 | − | 0.732333i | \(-0.261569\pi\) |
−0.974692 | + | 0.223550i | \(0.928235\pi\) | |||||||
\(284\) | −5.05842 | − | 8.76144i | −0.300162 | − | 0.519896i | ||||
\(285\) | 11.5693 | + | 2.71810i | 0.685306 | + | 0.161006i | ||||
\(286\) | 4.37228 | − | 7.57301i | 0.258538 | − | 0.447802i | ||||
\(287\) | 10.3723 | 0.612256 | ||||||||
\(288\) | 2.50000 | − | 1.65831i | 0.147314 | − | 0.0977170i | ||||
\(289\) | 2.11684 | 0.124520 | ||||||||
\(290\) | −1.88316 | + | 3.26172i | −0.110583 | + | 0.191535i | ||||
\(291\) | 4.55842 | + | 15.1186i | 0.267219 | + | 0.886267i | ||||
\(292\) | 2.55842 | + | 4.43132i | 0.149720 | + | 0.259323i | ||||
\(293\) | 2.31386 | + | 4.00772i | 0.135177 | + | 0.234134i | 0.925665 | − | 0.378344i | \(-0.123506\pi\) |
−0.790488 | + | 0.612478i | \(0.790173\pi\) | |||||||
\(294\) | −1.18614 | + | 1.26217i | −0.0691771 | + | 0.0736112i | ||||
\(295\) | 4.88316 | − | 8.45787i | 0.284308 | − | 0.492436i | ||||
\(296\) | −2.00000 | −0.116248 | ||||||||
\(297\) | 21.3030 | − | 7.89542i | 1.23612 | − | 0.458139i | ||||
\(298\) | −14.7446 | −0.854130 | ||||||||
\(299\) | 7.37228 | − | 12.7692i | 0.426350 | − | 0.738460i | ||||
\(300\) | −3.69702 | + | 3.93398i | −0.213447 | + | 0.227129i | ||||
\(301\) | −4.55842 | − | 7.89542i | −0.262743 | − | 0.455084i | ||||
\(302\) | −4.05842 | − | 7.02939i | −0.233536 | − | 0.404496i | ||||
\(303\) | 3.68614 | + | 12.2255i | 0.211763 | + | 0.702339i | ||||
\(304\) | −2.50000 | + | 4.33013i | −0.143385 | + | 0.248350i | ||||
\(305\) | 19.3723 | 1.10925 | ||||||||
\(306\) | 11.7446 | + | 5.84096i | 0.671392 | + | 0.333906i | ||||
\(307\) | −13.0000 | −0.741949 | −0.370975 | − | 0.928643i | \(-0.620976\pi\) | ||||
−0.370975 | + | 0.928643i | \(0.620976\pi\) | |||||||
\(308\) | −2.18614 | + | 3.78651i | −0.124567 | + | 0.215756i | ||||
\(309\) | 16.8614 | + | 3.96143i | 0.959212 | + | 0.225358i | ||||
\(310\) | −1.37228 | − | 2.37686i | −0.0779403 | − | 0.134997i | ||||
\(311\) | 13.1168 | + | 22.7190i | 0.743788 | + | 1.28828i | 0.950759 | + | 0.309931i | \(0.100306\pi\) |
−0.206971 | + | 0.978347i | \(0.566361\pi\) | |||||||
\(312\) | 3.37228 | + | 0.792287i | 0.190918 | + | 0.0448544i | ||||
\(313\) | 1.44158 | − | 2.49689i | 0.0814828 | − | 0.141132i | −0.822404 | − | 0.568904i | \(-0.807368\pi\) |
0.903887 | + | 0.427771i | \(0.140701\pi\) | |||||||
\(314\) | 8.11684 | 0.458060 | ||||||||
\(315\) | 0.255437 | + | 4.10891i | 0.0143923 | + | 0.231511i | ||||
\(316\) | 12.1168 | 0.681626 | ||||||||
\(317\) | 3.00000 | − | 5.19615i | 0.168497 | − | 0.291845i | −0.769395 | − | 0.638774i | \(-0.779442\pi\) |
0.937892 | + | 0.346929i | \(0.112775\pi\) | |||||||
\(318\) | −1.37228 | − | 4.55134i | −0.0769537 | − | 0.255227i | ||||
\(319\) | −6.00000 | − | 10.3923i | −0.335936 | − | 0.581857i | ||||
\(320\) | 0.686141 | + | 1.18843i | 0.0383564 | + | 0.0664353i | ||||
\(321\) | −1.93070 | + | 2.05446i | −0.107761 | + | 0.114669i | ||||
\(322\) | −3.68614 | + | 6.38458i | −0.205421 | + | 0.355799i | ||||
\(323\) | −21.8614 | −1.21640 | ||||||||
\(324\) | 5.43070 | + | 7.17687i | 0.301706 | + | 0.398715i | ||||
\(325\) | −6.23369 | −0.345783 | ||||||||
\(326\) | 8.11684 | − | 14.0588i | 0.449550 | − | 0.778644i | ||||
\(327\) | 16.6060 | − | 17.6704i | 0.918312 | − | 0.977173i | ||||
\(328\) | 5.18614 | + | 8.98266i | 0.286357 | + | 0.495984i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.00000 | + | 9.94987i | 0.165145 | + | 0.547723i | ||||
\(331\) | 6.11684 | − | 10.5947i | 0.336212 | − | 0.582337i | −0.647505 | − | 0.762061i | \(-0.724187\pi\) |
0.983717 | + | 0.179725i | \(0.0575207\pi\) | |||||||
\(332\) | −5.48913 | −0.301255 | ||||||||
\(333\) | −0.372281 | − | 5.98844i | −0.0204009 | − | 0.328164i | ||||
\(334\) | −17.4891 | −0.956962 | ||||||||
\(335\) | 10.3723 | − | 17.9653i | 0.566698 | − | 0.981550i | ||||
\(336\) | −1.68614 | − | 0.396143i | −0.0919865 | − | 0.0216114i | ||||
\(337\) | −4.55842 | − | 7.89542i | −0.248313 | − | 0.430091i | 0.714745 | − | 0.699385i | \(-0.246543\pi\) |
−0.963058 | + | 0.269294i | \(0.913210\pi\) | |||||||
\(338\) | −4.50000 | − | 7.79423i | −0.244768 | − | 0.423950i | ||||
\(339\) | −2.31386 | − | 0.543620i | −0.125672 | − | 0.0295254i | ||||
\(340\) | −3.00000 | + | 5.19615i | −0.162698 | + | 0.281801i | ||||
\(341\) | 8.74456 | 0.473545 | ||||||||
\(342\) | −13.4307 | − | 6.67954i | −0.726249 | − | 0.361188i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 4.55842 | − | 7.89542i | 0.245774 | − | 0.425692i | ||||
\(345\) | 5.05842 | + | 16.7769i | 0.272336 | + | 0.903237i | ||||
\(346\) | −3.00000 | − | 5.19615i | −0.161281 | − | 0.279347i | ||||
\(347\) | −3.55842 | − | 6.16337i | −0.191026 | − | 0.330867i | 0.754564 | − | 0.656226i | \(-0.227848\pi\) |
−0.945591 | + | 0.325359i | \(0.894515\pi\) | |||||||
\(348\) | 3.25544 | − | 3.46410i | 0.174510 | − | 0.185695i | ||||
\(349\) | 11.0000 | − | 19.0526i | 0.588817 | − | 1.01986i | −0.405571 | − | 0.914063i | \(-0.632927\pi\) |
0.994388 | − | 0.105797i | \(-0.0337393\pi\) | |||||||
\(350\) | 3.11684 | 0.166602 | ||||||||
\(351\) | −1.74456 | + | 10.2448i | −0.0931179 | + | 0.546828i | ||||
\(352\) | −4.37228 | −0.233043 | ||||||||
\(353\) | 3.81386 | − | 6.60580i | 0.202991 | − | 0.351591i | −0.746500 | − | 0.665386i | \(-0.768267\pi\) |
0.949491 | + | 0.313795i | \(0.101600\pi\) | |||||||
\(354\) | −8.44158 | + | 8.98266i | −0.448665 | + | 0.477423i | ||||
\(355\) | 6.94158 | + | 12.0232i | 0.368421 | + | 0.638123i | ||||
\(356\) | −1.62772 | − | 2.81929i | −0.0862689 | − | 0.149422i | ||||
\(357\) | −2.18614 | − | 7.25061i | −0.115703 | − | 0.383743i | ||||
\(358\) | 7.37228 | − | 12.7692i | 0.389637 | − | 0.674871i | ||||
\(359\) | −6.86141 | −0.362131 | −0.181066 | − | 0.983471i | \(-0.557955\pi\) | ||||
−0.181066 | + | 0.983471i | \(0.557955\pi\) | |||||||
\(360\) | −3.43070 | + | 2.27567i | −0.180814 | + | 0.119938i | ||||
\(361\) | 6.00000 | 0.315789 | ||||||||
\(362\) | 9.05842 | − | 15.6896i | 0.476100 | − | 0.824630i | ||||
\(363\) | −13.6861 | − | 3.21543i | −0.718336 | − | 0.168767i | ||||
\(364\) | −1.00000 | − | 1.73205i | −0.0524142 | − | 0.0907841i | ||||
\(365\) | −3.51087 | − | 6.08101i | −0.183768 | − | 0.318295i | ||||
\(366\) | −23.8030 | − | 5.59230i | −1.24420 | − | 0.292314i | ||||
\(367\) | −11.1168 | + | 19.2549i | −0.580295 | + | 1.00510i | 0.415150 | + | 0.909753i | \(0.363729\pi\) |
−0.995444 | + | 0.0953465i | \(0.969604\pi\) | |||||||
\(368\) | −7.37228 | −0.384307 | ||||||||
\(369\) | −25.9307 | + | 17.2005i | −1.34990 | + | 0.895421i | ||||
\(370\) | 2.74456 | 0.142683 | ||||||||
\(371\) | −1.37228 | + | 2.37686i | −0.0712453 | + | 0.123400i | ||||
\(372\) | 1.00000 | + | 3.31662i | 0.0518476 | + | 0.171959i | ||||
\(373\) | 5.00000 | + | 8.66025i | 0.258890 | + | 0.448411i | 0.965945 | − | 0.258748i | \(-0.0833099\pi\) |
−0.707055 | + | 0.707159i | \(0.749977\pi\) | |||||||
\(374\) | −9.55842 | − | 16.5557i | −0.494254 | − | 0.856073i | ||||
\(375\) | 13.2119 | − | 14.0588i | 0.682262 | − | 0.725993i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.48913 | 0.282704 | ||||||||
\(378\) | 0.872281 | − | 5.12241i | 0.0448653 | − | 0.263469i | ||||
\(379\) | 9.11684 | 0.468301 | 0.234150 | − | 0.972200i | \(-0.424769\pi\) | ||||
0.234150 | + | 0.972200i | \(0.424769\pi\) | |||||||
\(380\) | 3.43070 | − | 5.94215i | 0.175991 | − | 0.304826i | ||||
\(381\) | −16.7446 | + | 17.8178i | −0.857850 | + | 0.912836i | ||||
\(382\) | −0.941578 | − | 1.63086i | −0.0481753 | − | 0.0834421i | ||||
\(383\) | 10.6277 | + | 18.4077i | 0.543051 | + | 0.940592i | 0.998727 | + | 0.0504462i | \(0.0160643\pi\) |
−0.455676 | + | 0.890146i | \(0.650602\pi\) | |||||||
\(384\) | −0.500000 | − | 1.65831i | −0.0255155 | − | 0.0846254i | ||||
\(385\) | 3.00000 | − | 5.19615i | 0.152894 | − | 0.264820i | ||||
\(386\) | 7.00000 | 0.356291 | ||||||||
\(387\) | 24.4891 | + | 12.1793i | 1.24485 | + | 0.619107i | ||||
\(388\) | 9.11684 | 0.462838 | ||||||||
\(389\) | 17.4891 | − | 30.2921i | 0.886734 | − | 1.53587i | 0.0430204 | − | 0.999074i | \(-0.486302\pi\) |
0.843713 | − | 0.536794i | \(-0.180365\pi\) | |||||||
\(390\) | −4.62772 | − | 1.08724i | −0.234334 | − | 0.0550546i | ||||
\(391\) | −16.1168 | − | 27.9152i | −0.815064 | − | 1.41173i | ||||
\(392\) | 0.500000 | + | 0.866025i | 0.0252538 | + | 0.0437409i | ||||
\(393\) | 12.4307 | + | 2.92048i | 0.627046 | + | 0.147319i | ||||
\(394\) | −3.00000 | + | 5.19615i | −0.151138 | + | 0.261778i | ||||
\(395\) | −16.6277 | −0.836631 | ||||||||
\(396\) | −0.813859 | − | 13.0916i | −0.0408980 | − | 0.657876i | ||||
\(397\) | −22.0000 | −1.10415 | −0.552074 | − | 0.833795i | \(-0.686163\pi\) | ||||
−0.552074 | + | 0.833795i | \(0.686163\pi\) | |||||||
\(398\) | −5.00000 | + | 8.66025i | −0.250627 | + | 0.434099i | ||||
\(399\) | 2.50000 | + | 8.29156i | 0.125157 | + | 0.415097i | ||||
\(400\) | 1.55842 | + | 2.69927i | 0.0779211 | + | 0.134963i | ||||
\(401\) | 0.127719 | + | 0.221215i | 0.00637797 | + | 0.0110470i | 0.869197 | − | 0.494466i | \(-0.164636\pi\) |
−0.862819 | + | 0.505513i | \(0.831303\pi\) | |||||||
\(402\) | −17.9307 | + | 19.0800i | −0.894302 | + | 0.951624i | ||||
\(403\) | −2.00000 | + | 3.46410i | −0.0996271 | + | 0.172559i | ||||
\(404\) | 7.37228 | 0.366785 | ||||||||
\(405\) | −7.45245 | − | 9.84868i | −0.370315 | − | 0.489385i | ||||
\(406\) | −2.74456 | −0.136210 | ||||||||
\(407\) | −4.37228 | + | 7.57301i | −0.216726 | + | 0.375380i | ||||
\(408\) | 5.18614 | − | 5.51856i | 0.256752 | − | 0.273209i | ||||
\(409\) | −14.6753 | − | 25.4183i | −0.725645 | − | 1.25685i | −0.958708 | − | 0.284393i | \(-0.908208\pi\) |
0.233063 | − | 0.972462i | \(-0.425125\pi\) | |||||||
\(410\) | −7.11684 | − | 12.3267i | −0.351476 | − | 0.608774i | ||||
\(411\) | 8.18614 | + | 27.1504i | 0.403793 | + | 1.33923i | ||||
\(412\) | 5.00000 | − | 8.66025i | 0.246332 | − | 0.426660i | ||||
\(413\) | 7.11684 | 0.350197 | ||||||||
\(414\) | −1.37228 | − | 22.0742i | −0.0674439 | − | 1.08489i | ||||
\(415\) | 7.53262 | 0.369762 | ||||||||
\(416\) | 1.00000 | − | 1.73205i | 0.0490290 | − | 0.0849208i | ||||
\(417\) | 35.8030 | + | 8.41159i | 1.75328 | + | 0.411917i | ||||
\(418\) | 10.9307 | + | 18.9325i | 0.534638 | + | 0.926020i | ||||
\(419\) | −13.8030 | − | 23.9075i | −0.674320 | − | 1.16796i | −0.976667 | − | 0.214759i | \(-0.931104\pi\) |
0.302347 | − | 0.953198i | \(-0.402230\pi\) | |||||||
\(420\) | 2.31386 | + | 0.543620i | 0.112905 | + | 0.0265260i | ||||
\(421\) | 0.116844 | − | 0.202380i | 0.00569463 | − | 0.00986338i | −0.863164 | − | 0.504924i | \(-0.831521\pi\) |
0.868859 | + | 0.495060i | \(0.164854\pi\) | |||||||
\(422\) | 16.0000 | 0.778868 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.74456 | −0.133288 | ||||||||
\(425\) | −6.81386 | + | 11.8020i | −0.330521 | + | 0.572479i | ||||
\(426\) | −5.05842 | − | 16.7769i | −0.245081 | − | 0.812843i | ||||
\(427\) | 7.05842 | + | 12.2255i | 0.341581 | + | 0.591636i | ||||
\(428\) | 0.813859 | + | 1.40965i | 0.0393394 | + | 0.0681378i | ||||
\(429\) | 10.3723 | − | 11.0371i | 0.500778 | − | 0.532877i | ||||
\(430\) | −6.25544 | + | 10.8347i | −0.301664 | + | 0.522497i | ||||
\(431\) | −29.4891 | −1.42044 | −0.710221 | − | 0.703979i | \(-0.751405\pi\) | ||||
−0.710221 | + | 0.703979i | \(0.751405\pi\) | |||||||
\(432\) | 4.87228 | − | 1.80579i | 0.234418 | − | 0.0868811i | ||||
\(433\) | −2.88316 | −0.138556 | −0.0692778 | − | 0.997597i | \(-0.522069\pi\) | ||||
−0.0692778 | + | 0.997597i | \(0.522069\pi\) | |||||||
\(434\) | 1.00000 | − | 1.73205i | 0.0480015 | − | 0.0831411i | ||||
\(435\) | −4.46738 | + | 4.75372i | −0.214194 | + | 0.227924i | ||||
\(436\) | −7.00000 | − | 12.1244i | −0.335239 | − | 0.580651i | ||||
\(437\) | 18.4307 | + | 31.9229i | 0.881660 | + | 1.52708i | ||||
\(438\) | 2.55842 | + | 8.48533i | 0.122246 | + | 0.405445i | ||||
\(439\) | −4.00000 | + | 6.92820i | −0.190910 | + | 0.330665i | −0.945552 | − | 0.325471i | \(-0.894477\pi\) |
0.754642 | + | 0.656136i | \(0.227810\pi\) | |||||||
\(440\) | 6.00000 | 0.286039 | ||||||||
\(441\) | −2.50000 | + | 1.65831i | −0.119048 | + | 0.0789673i | ||||
\(442\) | 8.74456 | 0.415936 | ||||||||
\(443\) | 11.4416 | − | 19.8174i | 0.543606 | − | 0.941553i | −0.455087 | − | 0.890447i | \(-0.650392\pi\) |
0.998693 | − | 0.0511061i | \(-0.0162747\pi\) | |||||||
\(444\) | −3.37228 | − | 0.792287i | −0.160041 | − | 0.0376003i | ||||
\(445\) | 2.23369 | + | 3.86886i | 0.105887 | + | 0.183402i | ||||
\(446\) | −2.00000 | − | 3.46410i | −0.0947027 | − | 0.164030i | ||||
\(447\) | −24.8614 | − | 5.84096i | −1.17590 | − | 0.276268i | ||||
\(448\) | −0.500000 | + | 0.866025i | −0.0236228 | + | 0.0409159i | ||||
\(449\) | 33.0000 | 1.55737 | 0.778683 | − | 0.627417i | \(-0.215888\pi\) | ||||
0.778683 | + | 0.627417i | \(0.215888\pi\) | |||||||
\(450\) | −7.79211 | + | 5.16870i | −0.367324 | + | 0.243655i | ||||
\(451\) | 45.3505 | 2.13547 | ||||||||
\(452\) | −0.686141 | + | 1.18843i | −0.0322733 | + | 0.0558991i | ||||
\(453\) | −4.05842 | − | 13.4603i | −0.190681 | − | 0.632418i | ||||
\(454\) | −11.8723 | − | 20.5634i | −0.557194 | − | 0.965088i | ||||
\(455\) | 1.37228 | + | 2.37686i | 0.0643335 | + | 0.111429i | ||||
\(456\) | −5.93070 | + | 6.31084i | −0.277731 | + | 0.295532i | ||||
\(457\) | −16.7337 | + | 28.9836i | −0.782769 | + | 1.35580i | 0.147554 | + | 0.989054i | \(0.452860\pi\) |
−0.930323 | + | 0.366742i | \(0.880473\pi\) | |||||||
\(458\) | 20.1168 | 0.939998 | ||||||||
\(459\) | 17.4891 | + | 14.5012i | 0.816322 | + | 0.676859i | ||||
\(460\) | 10.1168 | 0.471700 | ||||||||
\(461\) | −15.4307 | + | 26.7268i | −0.718680 | + | 1.24479i | 0.242844 | + | 0.970065i | \(0.421920\pi\) |
−0.961523 | + | 0.274724i | \(0.911414\pi\) | |||||||
\(462\) | −5.18614 | + | 5.51856i | −0.241281 | + | 0.256747i | ||||
\(463\) | 2.94158 | + | 5.09496i | 0.136707 | + | 0.236783i | 0.926248 | − | 0.376914i | \(-0.123015\pi\) |
−0.789541 | + | 0.613697i | \(0.789682\pi\) | |||||||
\(464\) | −1.37228 | − | 2.37686i | −0.0637066 | − | 0.110343i | ||||
\(465\) | −1.37228 | − | 4.55134i | −0.0636380 | − | 0.211063i | ||||
\(466\) | −5.87228 | + | 10.1711i | −0.272028 | + | 0.471167i | ||||
\(467\) | −30.0951 | −1.39263 | −0.696317 | − | 0.717734i | \(-0.745179\pi\) | ||||
−0.696317 | + | 0.717734i | \(0.745179\pi\) | |||||||
\(468\) | 5.37228 | + | 2.67181i | 0.248334 | + | 0.123505i | ||||
\(469\) | 15.1168 | 0.698031 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 13.6861 | + | 3.21543i | 0.630624 | + | 0.148159i | ||||
\(472\) | 3.55842 | + | 6.16337i | 0.163790 | + | 0.283692i | ||||
\(473\) | −19.9307 | − | 34.5210i | −0.916415 | − | 1.58728i | ||||
\(474\) | 20.4307 | + | 4.80001i | 0.938413 | + | 0.220472i | ||||
\(475\) | 7.79211 | − | 13.4963i | 0.357527 | − | 0.619254i | ||||
\(476\) | −4.37228 | −0.200403 | ||||||||
\(477\) | −0.510875 | − | 8.21782i | −0.0233913 | − | 0.376268i | ||||
\(478\) | 18.8614 | 0.862701 | ||||||||
\(479\) | −10.6277 | + | 18.4077i | −0.485593 | + | 0.841072i | −0.999863 | − | 0.0165568i | \(-0.994730\pi\) |
0.514270 | + | 0.857628i | \(0.328063\pi\) | |||||||
\(480\) | 0.686141 | + | 2.27567i | 0.0313179 | + | 0.103870i | ||||
\(481\) | −2.00000 | − | 3.46410i | −0.0911922 | − | 0.157949i | ||||
\(482\) | 0.441578 | + | 0.764836i | 0.0201133 | + | 0.0348373i | ||||
\(483\) | −8.74456 | + | 9.30506i | −0.397891 | + | 0.423395i | ||||
\(484\) | −4.05842 | + | 7.02939i | −0.184474 | + | 0.319518i | ||||
\(485\) | −12.5109 | −0.568090 | ||||||||
\(486\) | 6.31386 | + | 14.2525i | 0.286402 | + | 0.646509i | ||||
\(487\) | −16.3505 | −0.740913 | −0.370457 | − | 0.928850i | \(-0.620799\pi\) | ||||
−0.370457 | + | 0.928850i | \(0.620799\pi\) | |||||||
\(488\) | −7.05842 | + | 12.2255i | −0.319520 | + | 0.553424i | ||||
\(489\) | 19.2554 | − | 20.4897i | 0.870761 | − | 0.926574i | ||||
\(490\) | −0.686141 | − | 1.18843i | −0.0309967 | − | 0.0536878i | ||||
\(491\) | 9.81386 | + | 16.9981i | 0.442893 | + | 0.767114i | 0.997903 | − | 0.0647303i | \(-0.0206187\pi\) |
−0.555010 | + | 0.831844i | \(0.687285\pi\) | |||||||
\(492\) | 5.18614 | + | 17.2005i | 0.233809 | + | 0.775458i | ||||
\(493\) | 6.00000 | − | 10.3923i | 0.270226 | − | 0.468046i | ||||
\(494\) | −10.0000 | −0.449921 | ||||||||
\(495\) | 1.11684 | + | 17.9653i | 0.0501984 | + | 0.807481i | ||||
\(496\) | 2.00000 | 0.0898027 | ||||||||
\(497\) | −5.05842 | + | 8.76144i | −0.226901 | + | 0.393004i | ||||
\(498\) | −9.25544 | − | 2.17448i | −0.414746 | − | 0.0974408i | ||||
\(499\) | −0.441578 | − | 0.764836i | −0.0197677 | − | 0.0342387i | 0.855972 | − | 0.517022i | \(-0.172959\pi\) |
−0.875740 | + | 0.482783i | \(0.839626\pi\) | |||||||
\(500\) | −5.56930 | − | 9.64630i | −0.249067 | − | 0.431396i | ||||
\(501\) | −29.4891 | − | 6.92820i | −1.31748 | − | 0.309529i | ||||
\(502\) | −4.50000 | + | 7.79423i | −0.200845 | + | 0.347873i | ||||
\(503\) | 2.23369 | 0.0995952 | 0.0497976 | − | 0.998759i | \(-0.484142\pi\) | ||||
0.0497976 | + | 0.998759i | \(0.484142\pi\) | |||||||
\(504\) | −2.68614 | − | 1.33591i | −0.119650 | − | 0.0595060i | ||||
\(505\) | −10.1168 | −0.450194 | ||||||||
\(506\) | −16.1168 | + | 27.9152i | −0.716481 | + | 1.24098i | ||||
\(507\) | −4.50000 | − | 14.9248i | −0.199852 | − | 0.662834i | ||||
\(508\) | 7.05842 | + | 12.2255i | 0.313167 | + | 0.542421i | ||||
\(509\) | −8.48913 | − | 14.7036i | −0.376274 | − | 0.651725i | 0.614243 | − | 0.789117i | \(-0.289461\pi\) |
−0.990517 | + | 0.137392i | \(0.956128\pi\) | |||||||
\(510\) | −7.11684 | + | 7.57301i | −0.315139 | + | 0.335339i | ||||
\(511\) | 2.55842 | − | 4.43132i | 0.113178 | − | 0.196030i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −20.0000 | − | 16.5831i | −0.883022 | − | 0.732163i | ||||
\(514\) | −21.8614 | −0.964265 | ||||||||
\(515\) | −6.86141 | + | 11.8843i | −0.302350 | + | 0.523685i | ||||
\(516\) | 10.8139 | − | 11.5070i | 0.476054 | − | 0.506567i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.00000 | + | 1.73205i | 0.0439375 | + | 0.0761019i | ||||
\(519\) | −3.00000 | − | 9.94987i | −0.131685 | − | 0.436751i | ||||
\(520\) | −1.37228 | + | 2.37686i | −0.0601785 | + | 0.104232i | ||||
\(521\) | 3.86141 | 0.169171 | 0.0845856 | − | 0.996416i | \(-0.473043\pi\) | ||||
0.0845856 | + | 0.996416i | \(0.473043\pi\) | |||||||
\(522\) | 6.86141 | − | 4.55134i | 0.300316 | − | 0.199207i | ||||
\(523\) | −17.8832 | −0.781976 | −0.390988 | − | 0.920396i | \(-0.627867\pi\) | ||||
−0.390988 | + | 0.920396i | \(0.627867\pi\) | |||||||
\(524\) | 3.68614 | − | 6.38458i | 0.161030 | − | 0.278912i | ||||
\(525\) | 5.25544 | + | 1.23472i | 0.229366 | + | 0.0538875i | ||||
\(526\) | 6.68614 | + | 11.5807i | 0.291530 | + | 0.504944i | ||||
\(527\) | 4.37228 | + | 7.57301i | 0.190460 | + | 0.329886i | ||||
\(528\) | −7.37228 | − | 1.73205i | −0.320837 | − | 0.0753778i | ||||
\(529\) | −15.6753 | + | 27.1504i | −0.681533 | + | 1.18045i | ||||
\(530\) | 3.76631 | 0.163598 | ||||||||
\(531\) | −17.7921 | + | 11.8020i | −0.772112 | + | 0.512161i | ||||
\(532\) | 5.00000 | 0.216777 | ||||||||
\(533\) | −10.3723 | + | 17.9653i | −0.449273 | + | 0.778164i | ||||
\(534\) | −1.62772 | − | 5.39853i | −0.0704383 | − | 0.233617i | ||||
\(535\) | −1.11684 | − | 1.93443i | −0.0482854 | − | 0.0836327i | ||||
\(536\) | 7.55842 | + | 13.0916i | 0.326474 | + | 0.565470i | ||||
\(537\) | 17.4891 | − | 18.6101i | 0.754711 | − | 0.803086i | ||||
\(538\) | −3.68614 | + | 6.38458i | −0.158921 | + | 0.275259i | ||||
\(539\) | 4.37228 | 0.188327 | ||||||||
\(540\) | −6.68614 | + | 2.47805i | −0.287726 | + | 0.106638i | ||||
\(541\) | 28.2337 | 1.21386 | 0.606931 | − | 0.794755i | \(-0.292401\pi\) | ||||
0.606931 | + | 0.794755i | \(0.292401\pi\) | |||||||
\(542\) | −9.11684 | + | 15.7908i | −0.391602 | + | 0.678275i | ||||
\(543\) | 21.4891 | − | 22.8665i | 0.922187 | − | 0.981296i | ||||
\(544\) | −2.18614 | − | 3.78651i | −0.0937300 | − | 0.162345i | ||||
\(545\) | 9.60597 | + | 16.6380i | 0.411475 | + | 0.712695i | ||||
\(546\) | −1.00000 | − | 3.31662i | −0.0427960 | − | 0.141938i | ||||
\(547\) | −0.441578 | + | 0.764836i | −0.0188805 | + | 0.0327020i | −0.875311 | − | 0.483560i | \(-0.839344\pi\) |
0.856431 | + | 0.516262i | \(0.172677\pi\) | |||||||
\(548\) | 16.3723 | 0.699389 | ||||||||
\(549\) | −37.9198 | − | 18.8588i | −1.61838 | − | 0.804874i | ||||
\(550\) | 13.6277 | 0.581088 | ||||||||
\(551\) | −6.86141 | + | 11.8843i | −0.292306 | + | 0.506288i | ||||
\(552\) | −12.4307 | − | 2.92048i | −0.529086 | − | 0.124304i | ||||
\(553\) | −6.05842 | − | 10.4935i | −0.257630 | − | 0.446229i | ||||
\(554\) | 11.1168 | + | 19.2549i | 0.472309 | + | 0.818064i | ||||
\(555\) | 4.62772 | + | 1.08724i | 0.196436 | + | 0.0461508i | ||||
\(556\) | 10.6168 | − | 18.3889i | 0.450254 | − | 0.779864i | ||||
\(557\) | 6.51087 | 0.275875 | 0.137937 | − | 0.990441i | \(-0.455953\pi\) | ||||
0.137937 | + | 0.990441i | \(0.455953\pi\) | |||||||
\(558\) | 0.372281 | + | 5.98844i | 0.0157599 | + | 0.253511i | ||||
\(559\) | 18.2337 | 0.771203 | ||||||||
\(560\) | 0.686141 | − | 1.18843i | 0.0289947 | − | 0.0502204i | ||||
\(561\) | −9.55842 | − | 31.7017i | −0.403557 | − | 1.33845i | ||||
\(562\) | 5.31386 | + | 9.20387i | 0.224152 | + | 0.388242i | ||||
\(563\) | −1.50000 | − | 2.59808i | −0.0632175 | − | 0.109496i | 0.832684 | − | 0.553748i | \(-0.186803\pi\) |
−0.895902 | + | 0.444252i | \(0.853470\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.941578 | − | 1.63086i | 0.0396125 | − | 0.0686108i | ||||
\(566\) | −9.88316 | −0.415420 | ||||||||
\(567\) | 3.50000 | − | 8.29156i | 0.146986 | − | 0.348213i | ||||
\(568\) | −10.1168 | −0.424493 | ||||||||
\(569\) | 0.558422 | − | 0.967215i | 0.0234103 | − | 0.0405478i | −0.854083 | − | 0.520137i | \(-0.825881\pi\) |
0.877493 | + | 0.479589i | \(0.159214\pi\) | |||||||
\(570\) | 8.13859 | − | 8.66025i | 0.340888 | − | 0.362738i | ||||
\(571\) | −14.6753 | − | 25.4183i | −0.614141 | − | 1.06372i | −0.990535 | − | 0.137263i | \(-0.956169\pi\) |
0.376394 | − | 0.926460i | \(-0.377164\pi\) | |||||||
\(572\) | −4.37228 | − | 7.57301i | −0.182814 | − | 0.316644i | ||||
\(573\) | −0.941578 | − | 3.12286i | −0.0393350 | − | 0.130459i | ||||
\(574\) | 5.18614 | − | 8.98266i | 0.216465 | − | 0.374929i | ||||
\(575\) | 22.9783 | 0.958259 | ||||||||
\(576\) | −0.186141 | − | 2.99422i | −0.00775586 | − | 0.124759i | ||||
\(577\) | 27.1168 | 1.12889 | 0.564444 | − | 0.825471i | \(-0.309090\pi\) | ||||
0.564444 | + | 0.825471i | \(0.309090\pi\) | |||||||
\(578\) | 1.05842 | − | 1.83324i | 0.0440246 | − | 0.0762528i | ||||
\(579\) | 11.8030 | + | 2.77300i | 0.490515 | + | 0.115242i | ||||
\(580\) | 1.88316 | + | 3.26172i | 0.0781938 | + | 0.135436i | ||||
\(581\) | 2.74456 | + | 4.75372i | 0.113864 | + | 0.197218i | ||||
\(582\) | 15.3723 | + | 3.61158i | 0.637202 | + | 0.149705i | ||||
\(583\) | −6.00000 | + | 10.3923i | −0.248495 | + | 0.430405i | ||||
\(584\) | 5.11684 | 0.211737 | ||||||||
\(585\) | −7.37228 | − | 3.66648i | −0.304806 | − | 0.151590i | ||||
\(586\) | 4.62772 | 0.191169 | ||||||||
\(587\) | 4.24456 | − | 7.35180i | 0.175192 | − | 0.303441i | −0.765036 | − | 0.643988i | \(-0.777279\pi\) |
0.940228 | + | 0.340547i | \(0.110612\pi\) | |||||||
\(588\) | 0.500000 | + | 1.65831i | 0.0206197 | + | 0.0683877i | ||||
\(589\) | −5.00000 | − | 8.66025i | −0.206021 | − | 0.356840i | ||||
\(590\) | −4.88316 | − | 8.45787i | −0.201036 | − | 0.348205i | ||||
\(591\) | −7.11684 | + | 7.57301i | −0.292748 | + | 0.311512i | ||||
\(592\) | −1.00000 | + | 1.73205i | −0.0410997 | + | 0.0711868i | ||||
\(593\) | 3.25544 | 0.133685 | 0.0668424 | − | 0.997764i | \(-0.478708\pi\) | ||||
0.0668424 | + | 0.997764i | \(0.478708\pi\) | |||||||
\(594\) | 3.81386 | − | 22.3966i | 0.156485 | − | 0.918945i | ||||
\(595\) | 6.00000 | 0.245976 | ||||||||
\(596\) | −7.37228 | + | 12.7692i | −0.301980 | + | 0.523045i | ||||
\(597\) | −11.8614 | + | 12.6217i | −0.485455 | + | 0.516571i | ||||
\(598\) | −7.37228 | − | 12.7692i | −0.301475 | − | 0.522170i | ||||
\(599\) | −12.0000 | − | 20.7846i | −0.490307 | − | 0.849236i | 0.509631 | − | 0.860393i | \(-0.329782\pi\) |
−0.999938 | + | 0.0111569i | \(0.996449\pi\) | |||||||
\(600\) | 1.55842 | + | 5.16870i | 0.0636223 | + | 0.211011i | ||||
\(601\) | −3.44158 | + | 5.96099i | −0.140385 | + | 0.243154i | −0.927642 | − | 0.373472i | \(-0.878167\pi\) |
0.787257 | + | 0.616625i | \(0.211501\pi\) | |||||||
\(602\) | −9.11684 | −0.371575 | ||||||||
\(603\) | −37.7921 | + | 25.0684i | −1.53901 | + | 1.02087i | ||||
\(604\) | −8.11684 | −0.330270 | ||||||||
\(605\) | 5.56930 | − | 9.64630i | 0.226424 | − | 0.392178i | ||||
\(606\) | 12.4307 | + | 2.92048i | 0.504963 | + | 0.118636i | ||||
\(607\) | 6.11684 | + | 10.5947i | 0.248275 | + | 0.430025i | 0.963047 | − | 0.269332i | \(-0.0868030\pi\) |
−0.714772 | + | 0.699357i | \(0.753470\pi\) | |||||||
\(608\) | 2.50000 | + | 4.33013i | 0.101388 | + | 0.175610i | ||||
\(609\) | −4.62772 | − | 1.08724i | −0.187525 | − | 0.0440572i | ||||
\(610\) | 9.68614 | − | 16.7769i | 0.392180 | − | 0.679276i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 10.9307 | − | 7.25061i | 0.441847 | − | 0.293088i | ||||
\(613\) | −1.76631 | −0.0713407 | −0.0356703 | − | 0.999364i | \(-0.511357\pi\) | ||||
−0.0356703 | + | 0.999364i | \(0.511357\pi\) | |||||||
\(614\) | −6.50000 | + | 11.2583i | −0.262319 | + | 0.454349i | ||||
\(615\) | −7.11684 | − | 23.6039i | −0.286979 | − | 0.951801i | ||||
\(616\) | 2.18614 | + | 3.78651i | 0.0880821 | + | 0.152563i | ||||
\(617\) | 4.93070 | + | 8.54023i | 0.198503 | + | 0.343817i | 0.948043 | − | 0.318142i | \(-0.103059\pi\) |
−0.749540 | + | 0.661959i | \(0.769725\pi\) | |||||||
\(618\) | 11.8614 | − | 12.6217i | 0.477136 | − | 0.507719i | ||||
\(619\) | 11.7337 | − | 20.3233i | 0.471617 | − | 0.816864i | −0.527856 | − | 0.849334i | \(-0.677004\pi\) |
0.999473 | + | 0.0324697i | \(0.0103373\pi\) | |||||||
\(620\) | −2.74456 | −0.110224 | ||||||||
\(621\) | 6.43070 | − | 37.7639i | 0.258055 | − | 1.51541i | ||||
\(622\) | 26.2337 | 1.05188 | ||||||||
\(623\) | −1.62772 | + | 2.81929i | −0.0652132 | + | 0.112953i | ||||
\(624\) | 2.37228 | − | 2.52434i | 0.0949673 | − | 0.101054i | ||||
\(625\) | −0.149468 | − | 0.258886i | −0.00597872 | − | 0.0103555i | ||||
\(626\) | −1.44158 | − | 2.49689i | −0.0576170 | − | 0.0997956i | ||||
\(627\) | 10.9307 | + | 36.2530i | 0.436530 | + | 1.44781i | ||||
\(628\) | 4.05842 | − | 7.02939i | 0.161949 | − | 0.280503i | ||||
\(629\) | −8.74456 | −0.348669 | ||||||||
\(630\) | 3.68614 | + | 1.83324i | 0.146859 | + | 0.0730381i | ||||
\(631\) | 14.3505 | 0.571286 | 0.285643 | − | 0.958336i | \(-0.407793\pi\) | ||||
0.285643 | + | 0.958336i | \(0.407793\pi\) | |||||||
\(632\) | 6.05842 | − | 10.4935i | 0.240991 | − | 0.417409i | ||||
\(633\) | 26.9783 | + | 6.33830i | 1.07229 | + | 0.251925i | ||||
\(634\) | −3.00000 | − | 5.19615i | −0.119145 | − | 0.206366i | ||||
\(635\) | −9.68614 | − | 16.7769i | −0.384383 | − | 0.665770i | ||||
\(636\) | −4.62772 | − | 1.08724i | −0.183501 | − | 0.0431119i | ||||
\(637\) | −1.00000 | + | 1.73205i | −0.0396214 | + | 0.0686264i | ||||
\(638\) | −12.0000 | −0.475085 | ||||||||
\(639\) | −1.88316 | − | 30.2921i | −0.0744965 | − | 1.19834i | ||||
\(640\) | 1.37228 | 0.0542442 | ||||||||
\(641\) | 23.1060 | − | 40.0207i | 0.912631 | − | 1.58072i | 0.102298 | − | 0.994754i | \(-0.467381\pi\) |
0.810333 | − | 0.585969i | \(-0.199286\pi\) | |||||||
\(642\) | 0.813859 | + | 2.69927i | 0.0321205 | + | 0.106532i | ||||
\(643\) | 12.6753 | + | 21.9542i | 0.499864 | + | 0.865789i | 1.00000 | 0.000157386i | \(-5.00974e-5\pi\) | |
−0.500136 | + | 0.865947i | \(0.666717\pi\) | |||||||
\(644\) | 3.68614 | + | 6.38458i | 0.145254 | + | 0.251588i | ||||
\(645\) | −14.8397 | + | 15.7908i | −0.584311 | + | 0.621764i | ||||
\(646\) | −10.9307 | + | 18.9325i | −0.430063 | + | 0.744891i | ||||
\(647\) | −17.4891 | −0.687568 | −0.343784 | − | 0.939049i | \(-0.611709\pi\) | ||||
−0.343784 | + | 0.939049i | \(0.611709\pi\) | |||||||
\(648\) | 8.93070 | − | 1.11469i | 0.350831 | − | 0.0437892i | ||||
\(649\) | 31.1168 | 1.22144 | ||||||||
\(650\) | −3.11684 | + | 5.39853i | −0.122253 | + | 0.211748i | ||||
\(651\) | 2.37228 | − | 2.52434i | 0.0929770 | − | 0.0989366i | ||||
\(652\) | −8.11684 | − | 14.0588i | −0.317880 | − | 0.550585i | ||||
\(653\) | 7.62772 | + | 13.2116i | 0.298496 | + | 0.517010i | 0.975792 | − | 0.218701i | \(-0.0701818\pi\) |
−0.677296 | + | 0.735710i | \(0.736848\pi\) | |||||||
\(654\) | −7.00000 | − | 23.2164i | −0.273722 | − | 0.907832i | ||||
\(655\) | −5.05842 | + | 8.76144i | −0.197649 | + | 0.342338i | ||||
\(656\) | 10.3723 | 0.404970 | ||||||||
\(657\) | 0.952453 | + | 15.3210i | 0.0371587 | + | 0.597727i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.62772 | − | 8.01544i | 0.180270 | − | 0.312237i | −0.761702 | − | 0.647927i | \(-0.775636\pi\) |
0.941973 | + | 0.335690i | \(0.108969\pi\) | |||||||
\(660\) | 10.1168 | + | 2.37686i | 0.393798 | + | 0.0925192i | ||||
\(661\) | −4.94158 | − | 8.55906i | −0.192205 | − | 0.332909i | 0.753776 | − | 0.657132i | \(-0.228231\pi\) |
−0.945981 | + | 0.324223i | \(0.894897\pi\) | |||||||
\(662\) | −6.11684 | − | 10.5947i | −0.237738 | − | 0.411774i | ||||
\(663\) | 14.7446 | + | 3.46410i | 0.572631 | + | 0.134535i | ||||
\(664\) | −2.74456 | + | 4.75372i | −0.106510 | + | 0.184480i | ||||
\(665\) | −6.86141 | −0.266074 | ||||||||
\(666\) | −5.37228 | − | 2.67181i | −0.208172 | − | 0.103531i | ||||
\(667\) | −20.2337 | −0.783452 | ||||||||
\(668\) | −8.74456 | + | 15.1460i | −0.338337 | + | 0.586017i | ||||
\(669\) | −2.00000 | − | 6.63325i | −0.0773245 | − | 0.256456i | ||||
\(670\) | −10.3723 | − | 17.9653i | −0.400716 | − | 0.694061i | ||||
\(671\) | 30.8614 | + | 53.4535i | 1.19139 | + | 2.06355i | ||||
\(672\) | −1.18614 | + | 1.26217i | −0.0457564 | + | 0.0486892i | ||||
\(673\) | 10.0584 | − | 17.4217i | 0.387724 | − | 0.671557i | −0.604419 | − | 0.796666i | \(-0.706595\pi\) |
0.992143 | + | 0.125109i | \(0.0399281\pi\) | |||||||
\(674\) | −9.11684 | −0.351168 | ||||||||
\(675\) | −15.1861 | + | 5.62836i | −0.584515 | + | 0.216636i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | 17.2337 | − | 29.8496i | 0.662344 | − | 1.14721i | −0.317654 | − | 0.948207i | \(-0.602895\pi\) |
0.979998 | − | 0.199007i | \(-0.0637718\pi\) | |||||||
\(678\) | −1.62772 | + | 1.73205i | −0.0625122 | + | 0.0665190i | ||||
\(679\) | −4.55842 | − | 7.89542i | −0.174936 | − | 0.302998i | ||||
\(680\) | 3.00000 | + | 5.19615i | 0.115045 | + | 0.199263i | ||||
\(681\) | −11.8723 | − | 39.3759i | −0.454947 | − | 1.50889i | ||||
\(682\) | 4.37228 | − | 7.57301i | 0.167423 | − | 0.289986i | ||||
\(683\) | −44.8397 | −1.71574 | −0.857871 | − | 0.513865i | \(-0.828213\pi\) | ||||
−0.857871 | + | 0.513865i | \(0.828213\pi\) | |||||||
\(684\) | −12.5000 | + | 8.29156i | −0.477949 | + | 0.317036i | ||||
\(685\) | −22.4674 | −0.858434 | ||||||||
\(686\) | 0.500000 | − | 0.866025i | 0.0190901 | − | 0.0330650i | ||||
\(687\) | 33.9198 | + | 7.96916i | 1.29412 | + | 0.304042i | ||||
\(688\) | −4.55842 | − | 7.89542i | −0.173788 | − | 0.301010i | ||||
\(689\) | −2.74456 | − | 4.75372i | −0.104560 | − | 0.181102i | ||||
\(690\) | 17.0584 | + | 4.00772i | 0.649403 | + | 0.152571i | ||||
\(691\) | 2.94158 | − | 5.09496i | 0.111903 | − | 0.193822i | −0.804635 | − | 0.593770i | \(-0.797639\pi\) |
0.916537 | + | 0.399949i | \(0.130972\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | −10.9307 | + | 7.25061i | −0.415223 | + | 0.275428i | ||||
\(694\) | −7.11684 | −0.270152 | ||||||||
\(695\) | −14.5693 | + | 25.2348i | −0.552645 | + | 0.957209i | ||||
\(696\) | −1.37228 | − | 4.55134i | −0.0520162 | − | 0.172518i | ||||
\(697\) | 22.6753 | + | 39.2747i | 0.858887 | + | 1.48764i | ||||
\(698\) | −11.0000 | − | 19.0526i | −0.416356 | − | 0.721150i | ||||
\(699\) | −13.9307 | + | 14.8236i | −0.526908 | + | 0.560681i | ||||
\(700\) | 1.55842 | − | 2.69927i | 0.0589028 | − | 0.102023i | ||||
\(701\) | −3.76631 | −0.142252 | −0.0711258 | − | 0.997467i | \(-0.522659\pi\) | ||||
−0.0711258 | + | 0.997467i | \(0.522659\pi\) | |||||||
\(702\) | 8.00000 | + | 6.63325i | 0.301941 | + | 0.250356i | ||||
\(703\) | 10.0000 | 0.377157 | ||||||||
\(704\) | −2.18614 | + | 3.78651i | −0.0823933 | + | 0.142709i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.81386 | − | 6.60580i | −0.143536 | − | 0.248612i | ||||
\(707\) | −3.68614 | − | 6.38458i | −0.138632 | − | 0.240117i | ||||
\(708\) | 3.55842 | + | 11.8020i | 0.133734 | + | 0.443544i | ||||
\(709\) | −22.0000 | + | 38.1051i | −0.826227 | + | 1.43107i | 0.0747503 | + | 0.997202i | \(0.476184\pi\) |
−0.900978 | + | 0.433865i | \(0.857149\pi\) | |||||||
\(710\) | 13.8832 | 0.521026 | ||||||||
\(711\) | 32.5475 | + | 16.1870i | 1.22063 | + | 0.607059i | ||||
\(712\) | −3.25544 | −0.122003 | ||||||||
\(713\) | 7.37228 | − | 12.7692i | 0.276094 | − | 0.478209i | ||||
\(714\) | −7.37228 | − | 1.73205i | −0.275901 | − | 0.0648204i | ||||
\(715\) | 6.00000 | + | 10.3923i | 0.224387 | + | 0.388650i | ||||
\(716\) | −7.37228 | − | 12.7692i | −0.275515 | − | 0.477206i | ||||
\(717\) | 31.8030 | + | 7.47182i | 1.18770 | + | 0.279040i | ||||
\(718\) | −3.43070 | + | 5.94215i | −0.128033 | + | 0.221759i | ||||
\(719\) | −8.74456 | −0.326117 | −0.163059 | − | 0.986616i | \(-0.552136\pi\) | ||||
−0.163059 | + | 0.986616i | \(0.552136\pi\) | |||||||
\(720\) | 0.255437 | + | 4.10891i | 0.00951959 | + | 0.153130i | ||||
\(721\) | −10.0000 | −0.372419 | ||||||||
\(722\) | 3.00000 | − | 5.19615i | 0.111648 | − | 0.193381i | ||||
\(723\) | 0.441578 | + | 1.46455i | 0.0164225 | + | 0.0544671i | ||||
\(724\) | −9.05842 | − | 15.6896i | −0.336654 | − | 0.583101i | ||||
\(725\) | 4.27719 | + | 7.40830i | 0.158851 | + | 0.275138i | ||||
\(726\) | −9.62772 | + | 10.2448i | −0.357318 | + | 0.380221i | ||||
\(727\) | 0.883156 | − | 1.52967i | 0.0327544 | − | 0.0567324i | −0.849183 | − | 0.528098i | \(-0.822905\pi\) |
0.881938 | + | 0.471366i | \(0.156239\pi\) | |||||||
\(728\) | −2.00000 | −0.0741249 | ||||||||
\(729\) | 5.00000 | + | 26.5330i | 0.185185 | + | 0.982704i | ||||
\(730\) | −7.02175 | −0.259887 | ||||||||
\(731\) | 19.9307 | − | 34.5210i | 0.737164 | − | 1.27680i | ||||
\(732\) | −16.7446 | + | 17.8178i | −0.618897 | + | 0.658566i | ||||
\(733\) | 11.9416 | + | 20.6834i | 0.441072 | + | 0.763960i | 0.997769 | − | 0.0667560i | \(-0.0212649\pi\) |
−0.556697 | + | 0.830716i | \(0.687932\pi\) | |||||||
\(734\) | 11.1168 | + | 19.2549i | 0.410330 | + | 0.710713i | ||||
\(735\) | −0.686141 | − | 2.27567i | −0.0253087 | − | 0.0839394i | ||||
\(736\) | −3.68614 | + | 6.38458i | −0.135873 | + | 0.235339i | ||||
\(737\) | 66.0951 | 2.43464 | ||||||||
\(738\) | 1.93070 | + | 31.0569i | 0.0710702 | + | 1.14322i | ||||
\(739\) | 9.11684 | 0.335369 | 0.167684 | − | 0.985841i | \(-0.446371\pi\) | ||||
0.167684 | + | 0.985841i | \(0.446371\pi\) | |||||||
\(740\) | 1.37228 | − | 2.37686i | 0.0504461 | − | 0.0873751i | ||||
\(741\) | −16.8614 | − | 3.96143i | −0.619419 | − | 0.145527i | ||||
\(742\) | 1.37228 | + | 2.37686i | 0.0503780 | + | 0.0872573i | ||||
\(743\) | −21.8614 | − | 37.8651i | −0.802017 | − | 1.38913i | −0.918286 | − | 0.395917i | \(-0.870427\pi\) |
0.116269 | − | 0.993218i | \(-0.462906\pi\) | |||||||
\(744\) | 3.37228 | + | 0.792287i | 0.123634 | + | 0.0290467i | ||||
\(745\) | 10.1168 | − | 17.5229i | 0.370652 | − | 0.641989i | ||||
\(746\) | 10.0000 | 0.366126 | ||||||||
\(747\) | −14.7446 | − | 7.33296i | −0.539475 | − | 0.268299i | ||||
\(748\) | −19.1168 | −0.698981 | ||||||||
\(749\) | 0.813859 | − | 1.40965i | 0.0297378 | − | 0.0515073i | ||||
\(750\) | −5.56930 | − | 18.4713i | −0.203362 | − | 0.674475i | ||||
\(751\) | −0.0584220 | − | 0.101190i | −0.00213185 | − | 0.00369247i | 0.864958 | − | 0.501845i | \(-0.167345\pi\) |
−0.867089 | + | 0.498153i | \(0.834012\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.6753 | + | 11.3595i | −0.389028 | + | 0.413964i | ||||
\(754\) | 2.74456 | − | 4.75372i | 0.0999511 | − | 0.173120i | ||||
\(755\) | 11.1386 | 0.405375 | ||||||||
\(756\) | −4.00000 | − | 3.31662i | −0.145479 | − | 0.120624i | ||||
\(757\) | 11.7663 | 0.427654 | 0.213827 | − | 0.976872i | \(-0.431407\pi\) | ||||
0.213827 | + | 0.976872i | \(0.431407\pi\) | |||||||
\(758\) | 4.55842 | − | 7.89542i | 0.165569 | − | 0.286775i | ||||
\(759\) | −38.2337 | + | 40.6844i | −1.38779 | + | 1.47675i | ||||
\(760\) | −3.43070 | − | 5.94215i | −0.124445 | − | 0.215545i | ||||
\(761\) | −6.25544 | − | 10.8347i | −0.226759 | − | 0.392759i | 0.730086 | − | 0.683355i | \(-0.239480\pi\) |
−0.956846 | + | 0.290596i | \(0.906146\pi\) | |||||||
\(762\) | 7.05842 | + | 23.4101i | 0.255700 | + | 0.848060i | ||||
\(763\) | −7.00000 | + | 12.1244i | −0.253417 | + | 0.438931i | ||||
\(764\) | −1.88316 | −0.0681302 | ||||||||
\(765\) | −15.0000 | + | 9.94987i | −0.542326 | + | 0.359738i | ||||
\(766\) | 21.2554 | 0.767990 | ||||||||
\(767\) | −7.11684 | + | 12.3267i | −0.256974 | + | 0.445093i | ||||
\(768\) | −1.68614 | − | 0.396143i | −0.0608434 | − | 0.0142946i | ||||
\(769\) | 5.00000 | + | 8.66025i | 0.180305 | + | 0.312297i | 0.941984 | − | 0.335657i | \(-0.108958\pi\) |
−0.761680 | + | 0.647954i | \(0.775625\pi\) | |||||||
\(770\) | −3.00000 | − | 5.19615i | −0.108112 | − | 0.187256i | ||||
\(771\) | −36.8614 | − | 8.66025i | −1.32753 | − | 0.311891i | ||||
\(772\) | 3.50000 | − | 6.06218i | 0.125968 | − | 0.218183i | ||||
\(773\) | −11.1386 | −0.400627 | −0.200314 | − | 0.979732i | \(-0.564196\pi\) | ||||
−0.200314 | + | 0.979732i | \(0.564196\pi\) | |||||||
\(774\) | 22.7921 | − | 15.1186i | 0.819245 | − | 0.543426i | ||||
\(775\) | −6.23369 | −0.223921 | ||||||||
\(776\) | 4.55842 | − | 7.89542i | 0.163638 | − | 0.283429i | ||||
\(777\) | 1.00000 | + | 3.31662i | 0.0358748 | + | 0.118983i | ||||
\(778\) | −17.4891 | − | 30.2921i | −0.627016 | − | 1.08602i | ||||
\(779\) | −25.9307 | − | 44.9133i | −0.929064 | − | 1.60919i | ||||
\(780\) | −3.25544 | + | 3.46410i | −0.116563 | + | 0.124035i | ||||
\(781\) | −22.1168 | + | 38.3075i | −0.791403 | + | 1.37075i | ||||
\(782\) | −32.2337 | −1.15267 | ||||||||
\(783\) | 13.3723 | − | 4.95610i | 0.477886 | − | 0.177117i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −5.56930 | + | 9.64630i | −0.198777 | + | 0.344291i | ||||
\(786\) | 8.74456 | − | 9.30506i | 0.311908 | − | 0.331901i | ||||
\(787\) | 2.00000 | + | 3.46410i | 0.0712923 | + | 0.123482i | 0.899468 | − | 0.436987i | \(-0.143954\pi\) |
−0.828176 | + | 0.560469i | \(0.810621\pi\) | |||||||
\(788\) | 3.00000 | + | 5.19615i | 0.106871 | + | 0.185105i | ||||
\(789\) | 6.68614 | + | 22.1754i | 0.238033 | + | 0.789466i | ||||
\(790\) | −8.31386 | + | 14.4000i | −0.295794 | + | 0.512330i | ||||
\(791\) | 1.37228 | 0.0487927 | ||||||||
\(792\) | −11.7446 | − | 5.84096i | −0.417325 | − | 0.207550i | ||||
\(793\) | −28.2337 | −1.00261 | ||||||||
\(794\) | −11.0000 | + | 19.0526i | −0.390375 | + | 0.676150i | ||||
\(795\) | 6.35053 | + | 1.49200i | 0.225230 | + | 0.0529158i | ||||
\(796\) | 5.00000 | + | 8.66025i | 0.177220 | + | 0.306955i | ||||
\(797\) | 18.4307 | + | 31.9229i | 0.652849 | + | 1.13077i | 0.982428 | + | 0.186640i | \(0.0597597\pi\) |
−0.329579 | + | 0.944128i | \(0.606907\pi\) | |||||||
\(798\) | 8.43070 | + | 1.98072i | 0.298444 | + | 0.0701166i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 3.11684 | 0.110197 | ||||||||
\(801\) | −0.605969 | − | 9.74749i | −0.0214109 | − | 0.344411i | ||||
\(802\) | 0.255437 | 0.00901981 | ||||||||
\(803\) | 11.1861 | − | 19.3750i | 0.394750 | − | 0.683728i | ||||
\(804\) | 7.55842 | + | 25.0684i | 0.266565 | + | 0.884096i | ||||
\(805\) | −5.05842 | − | 8.76144i | −0.178286 | − | 0.308800i | ||||
\(806\) | 2.00000 | + | 3.46410i | 0.0704470 | + | 0.122018i | ||||
\(807\) | −8.74456 | + | 9.30506i | −0.307823 | + | 0.327554i | ||||
\(808\) | 3.68614 | − | 6.38458i | 0.129678 | − | 0.224609i | ||||
\(809\) | 21.8614 | 0.768606 | 0.384303 | − | 0.923207i | \(-0.374442\pi\) | ||||
0.384303 | + | 0.923207i | \(0.374442\pi\) | |||||||
\(810\) | −12.2554 | + | 1.52967i | −0.430612 | + | 0.0537472i | ||||
\(811\) | 24.8832 | 0.873766 | 0.436883 | − | 0.899518i | \(-0.356082\pi\) | ||||
0.436883 | + | 0.899518i | \(0.356082\pi\) | |||||||
\(812\) | −1.37228 | + | 2.37686i | −0.0481576 | + | 0.0834115i | ||||
\(813\) | −21.6277 | + | 23.0140i | −0.758517 | + | 0.807136i | ||||
\(814\) | 4.37228 | + | 7.57301i | 0.153248 | + | 0.265434i | ||||
\(815\) | 11.1386 | + | 19.2926i | 0.390168 | + | 0.675791i | ||||
\(816\) | −2.18614 | − | 7.25061i | −0.0765302 | − | 0.253822i | ||||
\(817\) | −22.7921 | + | 39.4771i | −0.797395 | + | 1.38113i | ||||
\(818\) | −29.3505 | −1.02622 | ||||||||
\(819\) | −0.372281 | − | 5.98844i | −0.0130086 | − | 0.209253i | ||||
\(820\) | −14.2337 | −0.497062 | ||||||||
\(821\) | 19.1168 | − | 33.1113i | 0.667182 | − | 1.15559i | −0.311506 | − | 0.950244i | \(-0.600833\pi\) |
0.978689 | − | 0.205350i | \(-0.0658332\pi\) | |||||||
\(822\) | 27.6060 | + | 6.48577i | 0.962869 | + | 0.226217i | ||||
\(823\) | −11.1168 | − | 19.2549i | −0.387509 | − | 0.671185i | 0.604605 | − | 0.796525i | \(-0.293331\pi\) |
−0.992114 | + | 0.125341i | \(0.959998\pi\) | |||||||
\(824\) | −5.00000 | − | 8.66025i | −0.174183 | − | 0.301694i | ||||
\(825\) | 22.9783 | + | 5.39853i | 0.800000 | + | 0.187953i | ||||
\(826\) | 3.55842 | − | 6.16337i | 0.123813 | − | 0.214451i | ||||
\(827\) | 12.0000 | 0.417281 | 0.208640 | − | 0.977992i | \(-0.433096\pi\) | ||||
0.208640 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(828\) | −19.8030 | − | 9.84868i | −0.688201 | − | 0.342265i | ||||
\(829\) | −48.2337 | −1.67523 | −0.837613 | − | 0.546265i | \(-0.816049\pi\) | ||||
−0.837613 | + | 0.546265i | \(0.816049\pi\) | |||||||
\(830\) | 3.76631 | − | 6.52344i | 0.130731 | − | 0.226432i | ||||
\(831\) | 11.1168 | + | 36.8704i | 0.385639 | + | 1.27902i | ||||
\(832\) | −1.00000 | − | 1.73205i | −0.0346688 | − | 0.0600481i | ||||
\(833\) | 2.18614 | + | 3.78651i | 0.0757453 | + | 0.131195i | ||||
\(834\) | 25.1861 | − | 26.8005i | 0.872125 | − | 0.928025i | ||||
\(835\) | 12.0000 | − | 20.7846i | 0.415277 | − | 0.719281i | ||||
\(836\) | 21.8614 | 0.756093 | ||||||||
\(837\) | −1.74456 | + | 10.2448i | −0.0603009 | + | 0.354113i | ||||
\(838\) | −27.6060 | −0.953632 | ||||||||
\(839\) | 8.74456 | − | 15.1460i | 0.301896 | − | 0.522899i | −0.674670 | − | 0.738120i | \(-0.735714\pi\) |
0.976565 | + | 0.215221i | \(0.0690472\pi\) | |||||||
\(840\) | 1.62772 | − | 1.73205i | 0.0561616 | − | 0.0597614i | ||||
\(841\) | 10.7337 | + | 18.5913i | 0.370127 | + | 0.641079i | ||||
\(842\) | −0.116844 | − | 0.202380i | −0.00402671 | − | 0.00697446i | ||||
\(843\) | 5.31386 | + | 17.6241i | 0.183019 | + | 0.607005i | ||||
\(844\) | 8.00000 | − | 13.8564i | 0.275371 | − | 0.476957i | ||||
\(845\) | 12.3505 | 0.424871 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.11684 | 0.278898 | ||||||||
\(848\) | −1.37228 | + | 2.37686i | −0.0471243 | + | 0.0816217i | ||||
\(849\) | −16.6644 | − | 3.91515i | −0.571920 | − | 0.134368i | ||||
\(850\) | 6.81386 | + | 11.8020i | 0.233713 | + | 0.404804i | ||||
\(851\) | 7.37228 | + | 12.7692i | 0.252719 | + | 0.437721i | ||||
\(852\) | −17.0584 | − | 4.00772i | −0.584412 | − | 0.137302i | ||||
\(853\) | 8.94158 | − | 15.4873i | 0.306154 | − | 0.530274i | −0.671364 | − | 0.741128i | \(-0.734291\pi\) |
0.977518 | + | 0.210854i | \(0.0676245\pi\) | |||||||
\(854\) | 14.1168 | 0.483068 | ||||||||
\(855\) | 17.1535 | − | 11.3784i | 0.586638 | − | 0.389132i | ||||
\(856\) | 1.62772 | 0.0556343 | ||||||||
\(857\) | −25.9783 | + | 44.9956i | −0.887400 | + | 1.53702i | −0.0444624 | + | 0.999011i | \(0.514157\pi\) |
−0.842938 | + | 0.538011i | \(0.819176\pi\) | |||||||
\(858\) | −4.37228 | − | 14.5012i | −0.149267 | − | 0.495063i | ||||
\(859\) | −25.5584 | − | 44.2685i | −0.872042 | − | 1.51042i | −0.859881 | − | 0.510495i | \(-0.829462\pi\) |
−0.0121615 | − | 0.999926i | \(-0.503871\pi\) | |||||||
\(860\) | 6.25544 | + | 10.8347i | 0.213309 | + | 0.369461i | ||||
\(861\) | 12.3030 | − | 13.0916i | 0.419285 | − | 0.446160i | ||||
\(862\) | −14.7446 | + | 25.5383i | −0.502202 | + | 0.869839i | ||||
\(863\) | −18.8614 | −0.642050 | −0.321025 | − | 0.947071i | \(-0.604027\pi\) | ||||
−0.321025 | + | 0.947071i | \(0.604027\pi\) | |||||||
\(864\) | 0.872281 | − | 5.12241i | 0.0296756 | − | 0.174268i | ||||
\(865\) | 8.23369 | 0.279954 | ||||||||
\(866\) | −1.44158 | + | 2.49689i | −0.0489868 | + | 0.0848477i | ||||
\(867\) | 2.51087 | − | 2.67181i | 0.0852738 | − | 0.0907396i | ||||
\(868\) | −1.00000 | − | 1.73205i | −0.0339422 | − | 0.0587896i | ||||
\(869\) | −26.4891 | − | 45.8805i | −0.898582 | − | 1.55639i | ||||
\(870\) | 1.88316 | + | 6.24572i | 0.0638450 | + | 0.211750i | ||||
\(871\) | −15.1168 | + | 26.1831i | −0.512215 | + | 0.887182i | ||||
\(872\) | −14.0000 | −0.474100 | ||||||||
\(873\) | 24.4891 | + | 12.1793i | 0.828831 | + | 0.412205i | ||||
\(874\) | 36.8614 | 1.24686 | ||||||||
\(875\) | −5.56930 | + | 9.64630i | −0.188277 | + | 0.326105i | ||||
\(876\) | 8.62772 | + | 2.02700i | 0.291504 | + | 0.0684861i | ||||
\(877\) | −22.3505 | − | 38.7123i | −0.754724 | − | 1.30722i | −0.945512 | − | 0.325589i | \(-0.894438\pi\) |
0.190788 | − | 0.981631i | \(-0.438896\pi\) | |||||||
\(878\) | 4.00000 | + | 6.92820i | 0.134993 | + | 0.233816i | ||||
\(879\) | 7.80298 | + | 1.83324i | 0.263188 | + | 0.0618337i | ||||
\(880\) | 3.00000 | − | 5.19615i | 0.101130 | − | 0.175162i | ||||
\(881\) | 14.2337 | 0.479545 | 0.239773 | − | 0.970829i | \(-0.422927\pi\) | ||||
0.239773 | + | 0.970829i | \(0.422927\pi\) | |||||||
\(882\) | 0.186141 | + | 2.99422i | 0.00626768 | + | 0.100821i | ||||
\(883\) | 11.3505 | 0.381976 | 0.190988 | − | 0.981592i | \(-0.438831\pi\) | ||||
0.190988 | + | 0.981592i | \(0.438831\pi\) | |||||||
\(884\) | 4.37228 | − | 7.57301i | 0.147056 | − | 0.254708i | ||||
\(885\) | −4.88316 | − | 16.1956i | −0.164145 | − | 0.544409i | ||||
\(886\) | −11.4416 | − | 19.8174i | −0.384387 | − | 0.665778i | ||||
\(887\) | 15.8614 | + | 27.4728i | 0.532574 | + | 0.922445i | 0.999277 | + | 0.0380308i | \(0.0121085\pi\) |
−0.466703 | + | 0.884414i | \(0.654558\pi\) | |||||||
\(888\) | −2.37228 | + | 2.52434i | −0.0796085 | + | 0.0847112i | ||||
\(889\) | 7.05842 | − | 12.2255i | 0.236732 | − | 0.410032i | ||||
\(890\) | 4.46738 | 0.149747 | ||||||||
\(891\) | 15.3030 | − | 36.2530i | 0.512669 | − | 1.21452i | ||||
\(892\) | −4.00000 | −0.133930 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −17.4891 | + | 18.6101i | −0.584924 | + | 0.622416i | ||||
\(895\) | 10.1168 | + | 17.5229i | 0.338169 | + | 0.585726i | ||||
\(896\) | 0.500000 | + | 0.866025i | 0.0167038 | + | 0.0289319i | ||||
\(897\) | −7.37228 | − | 24.4511i | −0.246153 | − | 0.816398i | ||||
\(898\) | 16.5000 | − | 28.5788i | 0.550612 | − | 0.953688i | ||||
\(899\) | 5.48913 | 0.183073 | ||||||||
\(900\) | 0.580171 | + | 9.33252i | 0.0193390 | + | 0.311084i | ||||
\(901\) | −12.0000 | −0.399778 | ||||||||
\(902\) | 22.6753 | − | 39.2747i | 0.755004 | − | 1.30770i | ||||
\(903\) | −15.3723 | − | 3.61158i | −0.511557 | − | 0.120186i | ||||
\(904\) | 0.686141 | + | 1.18843i | 0.0228207 | + | 0.0395266i | ||||
\(905\) | 12.4307 | + | 21.5306i | 0.413211 | + | 0.715702i | ||||
\(906\) | −13.6861 | − | 3.21543i | −0.454692 | − | 0.106826i | ||||
\(907\) | 4.44158 | − | 7.69304i | 0.147480 | − | 0.255443i | −0.782815 | − | 0.622254i | \(-0.786217\pi\) |
0.930296 | + | 0.366811i | \(0.119550\pi\) | |||||||
\(908\) | −23.7446 | −0.787991 | ||||||||
\(909\) | 19.8030 | + | 9.84868i | 0.656824 | + | 0.326660i | ||||
\(910\) | 2.74456 | 0.0909814 | ||||||||
\(911\) | 21.6861 | − | 37.5615i | 0.718494 | − | 1.24447i | −0.243103 | − | 0.970001i | \(-0.578165\pi\) |
0.961596 | − | 0.274467i | \(-0.0885015\pi\) | |||||||
\(912\) | 2.50000 | + | 8.29156i | 0.0827833 | + | 0.274561i | ||||
\(913\) | 12.0000 | + | 20.7846i | 0.397142 | + | 0.687870i | ||||
\(914\) | 16.7337 | + | 28.9836i | 0.553501 | + | 0.958692i | ||||
\(915\) | 22.9783 | − | 24.4511i | 0.759638 | − | 0.808328i | ||||
\(916\) | 10.0584 | − | 17.4217i | 0.332340 | − | 0.575629i | ||||
\(917\) | −7.37228 | −0.243454 | ||||||||
\(918\) | 21.3030 | − | 7.89542i | 0.703103 | − | 0.260588i | ||||
\(919\) | −29.8832 | −0.985754 | −0.492877 | − | 0.870099i | \(-0.664055\pi\) | ||||
−0.492877 | + | 0.870099i | \(0.664055\pi\) | |||||||
\(920\) | 5.05842 | − | 8.76144i | 0.166771 | − | 0.288856i | ||||
\(921\) | −15.4198 | + | 16.4082i | −0.508101 | + | 0.540668i | ||||
\(922\) | 15.4307 | + | 26.7268i | 0.508183 | + | 0.880199i | ||||
\(923\) | −10.1168 | − | 17.5229i | −0.333000 | − | 0.576773i | ||||
\(924\) | 2.18614 | + | 7.25061i | 0.0719187 | + | 0.238528i | ||||
\(925\) | 3.11684 | − | 5.39853i | 0.102481 | − | 0.177503i | ||||
\(926\) | 5.88316 | 0.193333 | ||||||||
\(927\) | 25.0000 | − | 16.5831i | 0.821108 | − | 0.544661i | ||||
\(928\) | −2.74456 | −0.0900947 | ||||||||
\(929\) | −4.88316 | + | 8.45787i | −0.160211 | + | 0.277494i | −0.934944 | − | 0.354794i | \(-0.884551\pi\) |
0.774733 | + | 0.632288i | \(0.217884\pi\) | |||||||
\(930\) | −4.62772 | − | 1.08724i | −0.151749 | − | 0.0356520i | ||||
\(931\) | −2.50000 | − | 4.33013i | −0.0819342 | − | 0.141914i | ||||
\(932\) | 5.87228 | + | 10.1711i | 0.192353 | + | 0.333165i | ||||
\(933\) | 44.2337 | + | 10.3923i | 1.44815 | + | 0.340229i | ||||
\(934\) | −15.0475 | + | 26.0631i | −0.492371 | + | 0.852811i | ||||
\(935\) | 26.2337 | 0.857933 | ||||||||
\(936\) | 5.00000 | − | 3.31662i | 0.163430 | − | 0.108407i | ||||
\(937\) | −38.4674 | −1.25667 | −0.628337 | − | 0.777941i | \(-0.716264\pi\) | ||||
−0.628337 | + | 0.777941i | \(0.716264\pi\) | |||||||
\(938\) | 7.55842 | − | 13.0916i | 0.246791 | − | 0.427455i | ||||
\(939\) | −1.44158 | − | 4.78117i | −0.0470441 | − | 0.156028i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.941578 | − | 1.63086i | −0.0306946 | − | 0.0531645i | 0.850270 | − | 0.526347i | \(-0.176439\pi\) |
−0.880965 | + | 0.473182i | \(0.843105\pi\) | |||||||
\(942\) | 9.62772 | − | 10.2448i | 0.313688 | − | 0.333795i | ||||
\(943\) | 38.2337 | − | 66.2227i | 1.24506 | − | 2.15651i | ||||
\(944\) | 7.11684 | 0.231634 | ||||||||
\(945\) | 5.48913 | + | 4.55134i | 0.178561 | + | 0.148055i | ||||
\(946\) | −39.8614 | −1.29601 | ||||||||
\(947\) | −8.44158 | + | 14.6212i | −0.274314 | + | 0.475127i | −0.969962 | − | 0.243257i | \(-0.921784\pi\) |
0.695648 | + | 0.718383i | \(0.255118\pi\) | |||||||
\(948\) | 14.3723 | − | 15.2935i | 0.466790 | − | 0.496710i | ||||
\(949\) | 5.11684 | + | 8.86263i | 0.166100 | + | 0.287693i | ||||
\(950\) | −7.79211 | − | 13.4963i | −0.252809 | − | 0.437879i | ||||
\(951\) | −3.00000 | − | 9.94987i | −0.0972817 | − | 0.322647i | ||||
\(952\) | −2.18614 | + | 3.78651i | −0.0708532 | + | 0.122721i | ||||
\(953\) | 10.8832 | 0.352540 | 0.176270 | − | 0.984342i | \(-0.443597\pi\) | ||||
0.176270 | + | 0.984342i | \(0.443597\pi\) | |||||||
\(954\) | −7.37228 | − | 3.66648i | −0.238686 | − | 0.118707i | ||||
\(955\) | 2.58422 | 0.0836234 | ||||||||
\(956\) | 9.43070 | − | 16.3345i | 0.305011 | − | 0.528294i | ||||
\(957\) | −20.2337 | − | 4.75372i | −0.654062 | − | 0.153666i | ||||
\(958\) | 10.6277 | + | 18.4077i | 0.343366 | + | 0.594727i | ||||
\(959\) | −8.18614 | − | 14.1788i | −0.264344 | − | 0.457858i | ||||
\(960\) | 2.31386 | + | 0.543620i | 0.0746795 | + | 0.0175453i | ||||
\(961\) | 13.5000 | − | 23.3827i | 0.435484 | − | 0.754280i | ||||
\(962\) | −4.00000 | −0.128965 | ||||||||
\(963\) | 0.302985 | + | 4.87375i | 0.00976354 | + | 0.157054i | ||||
\(964\) | 0.883156 | 0.0284445 | ||||||||
\(965\) | −4.80298 | + | 8.31901i | −0.154614 | + | 0.267799i | ||||
\(966\) | 3.68614 | + | 12.2255i | 0.118600 | + | 0.393350i | ||||
\(967\) | −24.0584 | − | 41.6704i | −0.773667 | − | 1.34003i | −0.935541 | − | 0.353219i | \(-0.885087\pi\) |
0.161874 | − | 0.986811i | \(-0.448246\pi\) | |||||||
\(968\) | 4.05842 | + | 7.02939i | 0.130443 | + | 0.225933i | ||||
\(969\) | −25.9307 | + | 27.5928i | −0.833014 | + | 0.886408i | ||||
\(970\) | −6.25544 | + | 10.8347i | −0.200850 | + | 0.347882i | ||||
\(971\) | 7.37228 | 0.236588 | 0.118294 | − | 0.992979i | \(-0.462258\pi\) | ||||
0.118294 | + | 0.992979i | \(0.462258\pi\) | |||||||
\(972\) | 15.5000 | + | 1.65831i | 0.497163 | + | 0.0531904i | ||||
\(973\) | −21.2337 | −0.680721 | ||||||||
\(974\) | −8.17527 | + | 14.1600i | −0.261952 | + | 0.453715i | ||||
\(975\) | −7.39403 | + | 7.86797i | −0.236798 | + | 0.251977i | ||||
\(976\) | 7.05842 | + | 12.2255i | 0.225935 | + | 0.391330i | ||||
\(977\) | −11.4416 | − | 19.8174i | −0.366049 | − | 0.634015i | 0.622895 | − | 0.782305i | \(-0.285956\pi\) |
−0.988944 | + | 0.148291i | \(0.952623\pi\) | |||||||
\(978\) | −8.11684 | − | 26.9205i | −0.259548 | − | 0.860823i | ||||
\(979\) | −7.11684 | + | 12.3267i | −0.227455 | + | 0.393964i | ||||
\(980\) | −1.37228 | −0.0438359 | ||||||||
\(981\) | −2.60597 | − | 41.9191i | −0.0832022 | − | 1.33837i | ||||
\(982\) | 19.6277 | 0.626346 | ||||||||
\(983\) | 25.3723 | − | 43.9461i | 0.809250 | − | 1.40166i | −0.104134 | − | 0.994563i | \(-0.533207\pi\) |
0.913384 | − | 0.407099i | \(-0.133460\pi\) | |||||||
\(984\) | 17.4891 | + | 4.10891i | 0.557533 | + | 0.130987i | ||||
\(985\) | −4.11684 | − | 7.13058i | −0.131174 | − | 0.227199i | ||||
\(986\) | −6.00000 | − | 10.3923i | −0.191079 | − | 0.330958i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.00000 | + | 8.66025i | −0.159071 | + | 0.275519i | ||||
\(989\) | −67.2119 | −2.13722 | ||||||||
\(990\) | 16.1168 | + | 8.01544i | 0.512227 | + | 0.254748i | ||||
\(991\) | −20.4674 | −0.650168 | −0.325084 | − | 0.945685i | \(-0.605393\pi\) | ||||
−0.325084 | + | 0.945685i | \(0.605393\pi\) | |||||||
\(992\) | 1.00000 | − | 1.73205i | 0.0317500 | − | 0.0549927i | ||||
\(993\) | −6.11684 | − | 20.2873i | −0.194112 | − | 0.643797i | ||||
\(994\) | 5.05842 | + | 8.76144i | 0.160443 | + | 0.277896i | ||||
\(995\) | −6.86141 | − | 11.8843i | −0.217521 | − | 0.376758i | ||||
\(996\) | −6.51087 | + | 6.92820i | −0.206305 | + | 0.219529i | ||||
\(997\) | −6.05842 | + | 10.4935i | −0.191872 | + | 0.332332i | −0.945871 | − | 0.324544i | \(-0.894789\pi\) |
0.753999 | + | 0.656876i | \(0.228123\pi\) | |||||||
\(998\) | −0.883156 | −0.0279558 | ||||||||
\(999\) | −8.00000 | − | 6.63325i | −0.253109 | − | 0.209867i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))