Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.271 |
Dual form | 570.2.u.c.61.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.766044 | + | 0.642788i | 0.342585 | + | 0.287463i | ||||
\(6\) | −0.173648 | − | 0.984808i | −0.0708916 | − | 0.402046i | ||||
\(7\) | −1.43969 | − | 2.49362i | −0.544153 | − | 0.942500i | −0.998660 | − | 0.0517569i | \(-0.983518\pi\) |
0.454507 | − | 0.890743i | \(-0.349815\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | 0.939693 | + | 0.342020i | 0.297157 | + | 0.108156i | ||||
\(11\) | 0.266044 | − | 0.460802i | 0.0802154 | − | 0.138937i | −0.823127 | − | 0.567857i | \(-0.807773\pi\) |
0.903342 | + | 0.428920i | \(0.141106\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −0.673648 | − | 3.82045i | −0.186836 | − | 1.05960i | −0.923573 | − | 0.383422i | \(-0.874745\pi\) |
0.736737 | − | 0.676180i | \(-0.236366\pi\) | |||||||
\(14\) | −2.20574 | − | 1.85083i | −0.589508 | − | 0.494656i | ||||
\(15\) | 0.766044 | − | 0.642788i | 0.197792 | − | 0.165967i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −0.673648 | + | 0.245188i | −0.163384 | + | 0.0594668i | −0.422417 | − | 0.906402i | \(-0.638818\pi\) |
0.259033 | + | 0.965868i | \(0.416596\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 4.21688 | − | 1.10359i | 0.967419 | − | 0.253181i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −2.70574 | + | 0.984808i | −0.590440 | + | 0.214903i | ||||
\(22\) | 0.0923963 | − | 0.524005i | 0.0196989 | − | 0.111718i | ||||
\(23\) | 1.20574 | − | 1.01173i | 0.251414 | − | 0.210961i | −0.508367 | − | 0.861140i | \(-0.669751\pi\) |
0.759781 | + | 0.650179i | \(0.225306\pi\) | |||||||
\(24\) | −0.766044 | − | 0.642788i | −0.156368 | − | 0.131208i | ||||
\(25\) | 0.173648 | + | 0.984808i | 0.0347296 | + | 0.196962i | ||||
\(26\) | −1.93969 | − | 3.35965i | −0.380405 | − | 0.658881i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −2.70574 | − | 0.984808i | −0.511336 | − | 0.186111i | ||||
\(29\) | 2.91875 | + | 1.06234i | 0.541998 | + | 0.197271i | 0.598488 | − | 0.801132i | \(-0.295769\pi\) |
−0.0564897 | + | 0.998403i | \(0.517991\pi\) | |||||||
\(30\) | 0.500000 | − | 0.866025i | 0.0912871 | − | 0.158114i | ||||
\(31\) | 2.41875 | + | 4.18939i | 0.434420 | + | 0.752437i | 0.997248 | − | 0.0741365i | \(-0.0236200\pi\) |
−0.562828 | + | 0.826574i | \(0.690287\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −0.407604 | − | 0.342020i | −0.0709547 | − | 0.0595381i | ||||
\(34\) | −0.549163 | + | 0.460802i | −0.0941807 | + | 0.0790270i | ||||
\(35\) | 0.500000 | − | 2.83564i | 0.0845154 | − | 0.479311i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | −5.92127 | −0.973451 | −0.486726 | − | 0.873555i | \(-0.661809\pi\) | ||||
−0.486726 | + | 0.873555i | \(0.661809\pi\) | |||||||
\(38\) | 3.58512 | − | 2.47929i | 0.581584 | − | 0.402195i | ||||
\(39\) | −3.87939 | −0.621199 | ||||||||
\(40\) | 0.939693 | − | 0.342020i | 0.148578 | − | 0.0540781i | ||||
\(41\) | −0.687319 | + | 3.89798i | −0.107341 | + | 0.608762i | 0.882918 | + | 0.469527i | \(0.155575\pi\) |
−0.990259 | + | 0.139235i | \(0.955536\pi\) | |||||||
\(42\) | −2.20574 | + | 1.85083i | −0.340353 | + | 0.285590i | ||||
\(43\) | −0.748970 | − | 0.628461i | −0.114217 | − | 0.0958394i | 0.583890 | − | 0.811832i | \(-0.301530\pi\) |
−0.698107 | + | 0.715993i | \(0.745974\pi\) | |||||||
\(44\) | −0.0923963 | − | 0.524005i | −0.0139293 | − | 0.0789968i | ||||
\(45\) | −0.500000 | − | 0.866025i | −0.0745356 | − | 0.129099i | ||||
\(46\) | 0.786989 | − | 1.36310i | 0.116035 | − | 0.200979i | ||||
\(47\) | 7.23783 | + | 2.63435i | 1.05575 | + | 0.384260i | 0.810828 | − | 0.585284i | \(-0.199017\pi\) |
0.244917 | + | 0.969544i | \(0.421239\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | −0.645430 | + | 1.11792i | −0.0922042 | + | 0.159702i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 0.124485 | + | 0.705990i | 0.0174314 | + | 0.0988584i | ||||
\(52\) | −2.97178 | − | 2.49362i | −0.412112 | − | 0.345803i | ||||
\(53\) | −2.07532 | + | 1.74140i | −0.285067 | + | 0.239200i | −0.774097 | − | 0.633067i | \(-0.781796\pi\) |
0.489029 | + | 0.872267i | \(0.337351\pi\) | |||||||
\(54\) | −0.173648 | + | 0.984808i | −0.0236305 | + | 0.134015i | ||||
\(55\) | 0.500000 | − | 0.181985i | 0.0674200 | − | 0.0245389i | ||||
\(56\) | −2.87939 | −0.384774 | ||||||||
\(57\) | −0.354570 | − | 4.34445i | −0.0469640 | − | 0.575437i | ||||
\(58\) | 3.10607 | 0.407847 | ||||||||
\(59\) | 7.21688 | − | 2.62673i | 0.939558 | − | 0.341971i | 0.173567 | − | 0.984822i | \(-0.444471\pi\) |
0.765991 | + | 0.642851i | \(0.222249\pi\) | |||||||
\(60\) | 0.173648 | − | 0.984808i | 0.0224179 | − | 0.127138i | ||||
\(61\) | −11.1873 | + | 9.38728i | −1.43239 | + | 1.20192i | −0.488106 | + | 0.872784i | \(0.662312\pi\) |
−0.944284 | + | 0.329133i | \(0.893244\pi\) | |||||||
\(62\) | 3.70574 | + | 3.10948i | 0.470629 | + | 0.394905i | ||||
\(63\) | 0.500000 | + | 2.83564i | 0.0629941 | + | 0.357257i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.93969 | − | 3.35965i | 0.240589 | − | 0.416713i | ||||
\(66\) | −0.500000 | − | 0.181985i | −0.0615457 | − | 0.0224008i | ||||
\(67\) | 2.27972 | + | 0.829748i | 0.278512 | + | 0.101370i | 0.477499 | − | 0.878632i | \(-0.341543\pi\) |
−0.198988 | + | 0.980002i | \(0.563765\pi\) | |||||||
\(68\) | −0.358441 | + | 0.620838i | −0.0434673 | + | 0.0752876i | ||||
\(69\) | −0.786989 | − | 1.36310i | −0.0947423 | − | 0.164099i | ||||
\(70\) | −0.500000 | − | 2.83564i | −0.0597614 | − | 0.338924i | ||||
\(71\) | 6.16637 | + | 5.17420i | 0.731814 | + | 0.614065i | 0.930626 | − | 0.365973i | \(-0.119264\pi\) |
−0.198812 | + | 0.980038i | \(0.563708\pi\) | |||||||
\(72\) | −0.766044 | + | 0.642788i | −0.0902792 | + | 0.0757532i | ||||
\(73\) | −0.982926 | + | 5.57445i | −0.115043 | + | 0.652440i | 0.871686 | + | 0.490064i | \(0.163027\pi\) |
−0.986729 | + | 0.162376i | \(0.948084\pi\) | |||||||
\(74\) | −5.56418 | + | 2.02520i | −0.646823 | + | 0.235424i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 2.52094 | − | 3.55596i | 0.289172 | − | 0.407896i | ||||
\(77\) | −1.53209 | −0.174598 | ||||||||
\(78\) | −3.64543 | + | 1.32683i | −0.412764 | + | 0.150234i | ||||
\(79\) | −0.254900 | + | 1.44561i | −0.0286785 | + | 0.162644i | −0.995784 | − | 0.0917332i | \(-0.970759\pi\) |
0.967105 | + | 0.254377i | \(0.0818704\pi\) | |||||||
\(80\) | 0.766044 | − | 0.642788i | 0.0856464 | − | 0.0718658i | ||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | 0.687319 | + | 3.89798i | 0.0759017 | + | 0.430460i | ||||
\(83\) | −1.85844 | − | 3.21891i | −0.203990 | − | 0.353322i | 0.745820 | − | 0.666147i | \(-0.232058\pi\) |
−0.949811 | + | 0.312826i | \(0.898724\pi\) | |||||||
\(84\) | −1.43969 | + | 2.49362i | −0.157083 | + | 0.272076i | ||||
\(85\) | −0.673648 | − | 0.245188i | −0.0730674 | − | 0.0265944i | ||||
\(86\) | −0.918748 | − | 0.334397i | −0.0990712 | − | 0.0360590i | ||||
\(87\) | 1.55303 | − | 2.68993i | 0.166503 | − | 0.288391i | ||||
\(88\) | −0.266044 | − | 0.460802i | −0.0283604 | − | 0.0491217i | ||||
\(89\) | −2.68479 | − | 15.2262i | −0.284587 | − | 1.61398i | −0.706755 | − | 0.707458i | \(-0.749842\pi\) |
0.422168 | − | 0.906518i | \(-0.361269\pi\) | |||||||
\(90\) | −0.766044 | − | 0.642788i | −0.0807482 | − | 0.0677558i | ||||
\(91\) | −8.55690 | + | 7.18009i | −0.897007 | + | 0.752678i | ||||
\(92\) | 0.273318 | − | 1.55007i | 0.0284954 | − | 0.161606i | ||||
\(93\) | 4.54576 | − | 1.65452i | 0.471373 | − | 0.171566i | ||||
\(94\) | 7.70233 | 0.794435 | ||||||||
\(95\) | 3.93969 | + | 1.86516i | 0.404204 | + | 0.191361i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −12.4572 | + | 4.53406i | −1.26484 | + | 0.460364i | −0.885390 | − | 0.464848i | \(-0.846109\pi\) |
−0.379450 | + | 0.925212i | \(0.623887\pi\) | |||||||
\(98\) | −0.224155 | + | 1.27125i | −0.0226431 | + | 0.128415i | ||||
\(99\) | −0.407604 | + | 0.342020i | −0.0409657 | + | 0.0343743i | ||||
\(100\) | 0.766044 | + | 0.642788i | 0.0766044 | + | 0.0642788i | ||||
\(101\) | 2.55690 | + | 14.5009i | 0.254421 | + | 1.44290i | 0.797553 | + | 0.603248i | \(0.206127\pi\) |
−0.543132 | + | 0.839647i | \(0.682762\pi\) | |||||||
\(102\) | 0.358441 | + | 0.620838i | 0.0354909 | + | 0.0614721i | ||||
\(103\) | 5.36824 | − | 9.29807i | 0.528948 | − | 0.916166i | −0.470482 | − | 0.882410i | \(-0.655920\pi\) |
0.999430 | − | 0.0337559i | \(-0.0107469\pi\) | |||||||
\(104\) | −3.64543 | − | 1.32683i | −0.357464 | − | 0.130106i | ||||
\(105\) | −2.70574 | − | 0.984808i | −0.264053 | − | 0.0961074i | ||||
\(106\) | −1.35457 | + | 2.34618i | −0.131567 | + | 0.227882i | ||||
\(107\) | 7.85844 | + | 13.6112i | 0.759704 | + | 1.31585i | 0.943001 | + | 0.332789i | \(0.107990\pi\) |
−0.183297 | + | 0.983058i | \(0.558677\pi\) | |||||||
\(108\) | 0.173648 | + | 0.984808i | 0.0167093 | + | 0.0947632i | ||||
\(109\) | 10.3871 | + | 8.71583i | 0.994906 | + | 0.834825i | 0.986271 | − | 0.165137i | \(-0.0528067\pi\) |
0.00863564 | + | 0.999963i | \(0.497251\pi\) | |||||||
\(110\) | 0.407604 | − | 0.342020i | 0.0388635 | − | 0.0326103i | ||||
\(111\) | −1.02822 | + | 5.83132i | −0.0975942 | + | 0.553484i | ||||
\(112\) | −2.70574 | + | 0.984808i | −0.255668 | + | 0.0930556i | ||||
\(113\) | 18.6655 | 1.75590 | 0.877951 | − | 0.478750i | \(-0.158910\pi\) | ||||
0.877951 | + | 0.478750i | \(0.158910\pi\) | |||||||
\(114\) | −1.81908 | − | 3.96118i | −0.170372 | − | 0.370999i | ||||
\(115\) | 1.57398 | 0.146774 | ||||||||
\(116\) | 2.91875 | − | 1.06234i | 0.270999 | − | 0.0986356i | ||||
\(117\) | −0.673648 | + | 3.82045i | −0.0622788 | + | 0.353201i | ||||
\(118\) | 5.88326 | − | 4.93664i | 0.541598 | − | 0.454454i | ||||
\(119\) | 1.58125 | + | 1.32683i | 0.144953 | + | 0.121630i | ||||
\(120\) | −0.173648 | − | 0.984808i | −0.0158518 | − | 0.0899002i | ||||
\(121\) | 5.35844 | + | 9.28109i | 0.487131 | + | 0.843736i | ||||
\(122\) | −7.30200 | + | 12.6474i | −0.661092 | + | 1.14505i | ||||
\(123\) | 3.71941 | + | 1.35375i | 0.335368 | + | 0.122064i | ||||
\(124\) | 4.54576 | + | 1.65452i | 0.408221 | + | 0.148580i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 1.43969 | + | 2.49362i | 0.128258 | + | 0.222149i | ||||
\(127\) | −0.819078 | − | 4.64522i | −0.0726814 | − | 0.412197i | −0.999341 | − | 0.0362954i | \(-0.988444\pi\) |
0.926660 | − | 0.375901i | \(-0.122667\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −0.748970 | + | 0.628461i | −0.0659432 | + | 0.0553329i | ||||
\(130\) | 0.673648 | − | 3.82045i | 0.0590829 | − | 0.335076i | ||||
\(131\) | 2.22668 | − | 0.810446i | 0.194546 | − | 0.0708090i | −0.242910 | − | 0.970049i | \(-0.578102\pi\) |
0.437456 | + | 0.899240i | \(0.355880\pi\) | |||||||
\(132\) | −0.532089 | −0.0463124 | ||||||||
\(133\) | −8.82295 | − | 8.92647i | −0.765047 | − | 0.774023i | ||||
\(134\) | 2.42602 | 0.209576 | ||||||||
\(135\) | −0.939693 | + | 0.342020i | −0.0808759 | + | 0.0294364i | ||||
\(136\) | −0.124485 | + | 0.705990i | −0.0106745 | + | 0.0605382i | ||||
\(137\) | −0.956767 | + | 0.802823i | −0.0817421 | + | 0.0685898i | −0.682743 | − | 0.730658i | \(-0.739213\pi\) |
0.601001 | + | 0.799248i | \(0.294769\pi\) | |||||||
\(138\) | −1.20574 | − | 1.01173i | −0.102639 | − | 0.0861245i | ||||
\(139\) | 1.52481 | + | 8.64766i | 0.129333 | + | 0.733485i | 0.978639 | + | 0.205584i | \(0.0659094\pi\) |
−0.849306 | + | 0.527900i | \(0.822979\pi\) | |||||||
\(140\) | −1.43969 | − | 2.49362i | −0.121676 | − | 0.210749i | ||||
\(141\) | 3.85117 | − | 6.67042i | 0.324327 | − | 0.561750i | ||||
\(142\) | 7.56418 | + | 2.75314i | 0.634772 | + | 0.231038i | ||||
\(143\) | −1.93969 | − | 0.705990i | −0.162205 | − | 0.0590379i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 1.55303 | + | 2.68993i | 0.128972 | + | 0.223387i | ||||
\(146\) | 0.982926 | + | 5.57445i | 0.0813475 | + | 0.461345i | ||||
\(147\) | 0.988856 | + | 0.829748i | 0.0815594 | + | 0.0684365i | ||||
\(148\) | −4.53596 | + | 3.80612i | −0.372854 | + | 0.312861i | ||||
\(149\) | 1.16503 | − | 6.60721i | 0.0954430 | − | 0.541284i | −0.899168 | − | 0.437604i | \(-0.855827\pi\) |
0.994611 | − | 0.103680i | \(-0.0330618\pi\) | |||||||
\(150\) | 0.939693 | − | 0.342020i | 0.0767256 | − | 0.0279258i | ||||
\(151\) | −19.2422 | −1.56591 | −0.782953 | − | 0.622081i | \(-0.786287\pi\) | ||||
−0.782953 | + | 0.622081i | \(0.786287\pi\) | |||||||
\(152\) | 1.15270 | − | 4.20372i | 0.0934966 | − | 0.340967i | ||||
\(153\) | 0.716881 | 0.0579564 | ||||||||
\(154\) | −1.43969 | + | 0.524005i | −0.116014 | + | 0.0422255i | ||||
\(155\) | −0.840022 | + | 4.76400i | −0.0674722 | + | 0.382654i | ||||
\(156\) | −2.97178 | + | 2.49362i | −0.237933 | + | 0.199649i | ||||
\(157\) | −10.6152 | − | 8.90717i | −0.847181 | − | 0.710870i | 0.111986 | − | 0.993710i | \(-0.464279\pi\) |
−0.959167 | + | 0.282840i | \(0.908723\pi\) | |||||||
\(158\) | 0.254900 | + | 1.44561i | 0.0202788 | + | 0.115007i | ||||
\(159\) | 1.35457 | + | 2.34618i | 0.107424 | + | 0.186065i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −4.25877 | − | 1.55007i | −0.335638 | − | 0.122162i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | 6.81180 | − | 11.7984i | 0.533542 | − | 0.924121i | −0.465691 | − | 0.884948i | \(-0.654194\pi\) |
0.999232 | − | 0.0391737i | \(-0.0124726\pi\) | |||||||
\(164\) | 1.97906 | + | 3.42782i | 0.154538 | + | 0.267668i | ||||
\(165\) | −0.0923963 | − | 0.524005i | −0.00719304 | − | 0.0407938i | ||||
\(166\) | −2.84730 | − | 2.38917i | −0.220993 | − | 0.185435i | ||||
\(167\) | −8.93036 | + | 7.49346i | −0.691052 | + | 0.579861i | −0.919212 | − | 0.393762i | \(-0.871173\pi\) |
0.228160 | + | 0.973624i | \(0.426729\pi\) | |||||||
\(168\) | −0.500000 | + | 2.83564i | −0.0385758 | + | 0.218774i | ||||
\(169\) | −1.92602 | + | 0.701015i | −0.148156 | + | 0.0539242i | ||||
\(170\) | −0.716881 | −0.0549823 | ||||||||
\(171\) | −4.34002 | − | 0.405223i | −0.331890 | − | 0.0309882i | ||||
\(172\) | −0.977711 | −0.0745498 | ||||||||
\(173\) | 5.67277 | − | 2.06472i | 0.431293 | − | 0.156978i | −0.117246 | − | 0.993103i | \(-0.537407\pi\) |
0.548539 | + | 0.836125i | \(0.315184\pi\) | |||||||
\(174\) | 0.539363 | − | 3.05888i | 0.0408890 | − | 0.231893i | ||||
\(175\) | 2.20574 | − | 1.85083i | 0.166738 | − | 0.139910i | ||||
\(176\) | −0.407604 | − | 0.342020i | −0.0307243 | − | 0.0257807i | ||||
\(177\) | −1.33363 | − | 7.56337i | −0.100241 | − | 0.568498i | ||||
\(178\) | −7.73055 | − | 13.3897i | −0.579429 | − | 1.00360i | ||||
\(179\) | −0.610815 | + | 1.05796i | −0.0456544 | + | 0.0790758i | −0.887950 | − | 0.459941i | \(-0.847871\pi\) |
0.842295 | + | 0.539017i | \(0.181204\pi\) | |||||||
\(180\) | −0.939693 | − | 0.342020i | −0.0700406 | − | 0.0254927i | ||||
\(181\) | −16.9217 | − | 6.15901i | −1.25778 | − | 0.457796i | −0.374759 | − | 0.927122i | \(-0.622274\pi\) |
−0.883025 | + | 0.469327i | \(0.844497\pi\) | |||||||
\(182\) | −5.58512 | + | 9.67372i | −0.413997 | + | 0.717064i | ||||
\(183\) | 7.30200 | + | 12.6474i | 0.539780 | + | 0.934926i | ||||
\(184\) | −0.273318 | − | 1.55007i | −0.0201493 | − | 0.114272i | ||||
\(185\) | −4.53596 | − | 3.80612i | −0.333490 | − | 0.279832i | ||||
\(186\) | 3.70574 | − | 3.10948i | 0.271718 | − | 0.227998i | ||||
\(187\) | −0.0662372 | + | 0.375650i | −0.00484374 | + | 0.0274702i | ||||
\(188\) | 7.23783 | − | 2.63435i | 0.527873 | − | 0.192130i | ||||
\(189\) | 2.87939 | 0.209444 | ||||||||
\(190\) | 4.34002 | + | 0.405223i | 0.314858 | + | 0.0293980i | ||||
\(191\) | −1.69459 | −0.122616 | −0.0613082 | − | 0.998119i | \(-0.519527\pi\) | ||||
−0.0613082 | + | 0.998119i | \(0.519527\pi\) | |||||||
\(192\) | −0.939693 | + | 0.342020i | −0.0678165 | + | 0.0246832i | ||||
\(193\) | −0.0482857 | + | 0.273842i | −0.00347568 | + | 0.0197116i | −0.986496 | − | 0.163784i | \(-0.947630\pi\) |
0.983021 | + | 0.183495i | \(0.0587412\pi\) | |||||||
\(194\) | −10.1552 | + | 8.52125i | −0.729103 | + | 0.611790i | ||||
\(195\) | −2.97178 | − | 2.49362i | −0.212814 | − | 0.178572i | ||||
\(196\) | 0.224155 | + | 1.27125i | 0.0160111 | + | 0.0908035i | ||||
\(197\) | −3.62701 | − | 6.28217i | −0.258414 | − | 0.447586i | 0.707403 | − | 0.706810i | \(-0.249866\pi\) |
−0.965817 | + | 0.259224i | \(0.916533\pi\) | |||||||
\(198\) | −0.266044 | + | 0.460802i | −0.0189070 | + | 0.0327478i | ||||
\(199\) | −1.34002 | − | 0.487728i | −0.0949917 | − | 0.0345741i | 0.294087 | − | 0.955779i | \(-0.404984\pi\) |
−0.389079 | + | 0.921204i | \(0.627207\pi\) | |||||||
\(200\) | 0.939693 | + | 0.342020i | 0.0664463 | + | 0.0241845i | ||||
\(201\) | 1.21301 | − | 2.10100i | 0.0855592 | − | 0.148193i | ||||
\(202\) | 7.36231 | + | 12.7519i | 0.518010 | + | 0.897220i | ||||
\(203\) | −1.55303 | − | 8.80769i | −0.109002 | − | 0.618179i | ||||
\(204\) | 0.549163 | + | 0.460802i | 0.0384491 | + | 0.0322626i | ||||
\(205\) | −3.03209 | + | 2.54422i | −0.211770 | + | 0.177696i | ||||
\(206\) | 1.86437 | − | 10.5734i | 0.129897 | − | 0.736682i | ||||
\(207\) | −1.47906 | + | 0.538332i | −0.102801 | + | 0.0374167i | ||||
\(208\) | −3.87939 | −0.268987 | ||||||||
\(209\) | 0.613341 | − | 2.23675i | 0.0424257 | − | 0.154719i | ||||
\(210\) | −2.87939 | −0.198696 | ||||||||
\(211\) | −4.01114 | + | 1.45994i | −0.276139 | + | 0.100506i | −0.476377 | − | 0.879241i | \(-0.658050\pi\) |
0.200239 | + | 0.979747i | \(0.435828\pi\) | |||||||
\(212\) | −0.470437 | + | 2.66798i | −0.0323098 | + | 0.183238i | ||||
\(213\) | 6.16637 | − | 5.17420i | 0.422513 | − | 0.354531i | ||||
\(214\) | 12.0398 | + | 10.1026i | 0.823026 | + | 0.690601i | ||||
\(215\) | −0.169778 | − | 0.962858i | −0.0115787 | − | 0.0656663i | ||||
\(216\) | 0.500000 | + | 0.866025i | 0.0340207 | + | 0.0589256i | ||||
\(217\) | 6.96451 | − | 12.0629i | 0.472782 | − | 0.818882i | ||||
\(218\) | 12.7417 | + | 4.63760i | 0.862977 | + | 0.314098i | ||||
\(219\) | 5.31908 | + | 1.93599i | 0.359430 | + | 0.130822i | ||||
\(220\) | 0.266044 | − | 0.460802i | 0.0179367 | − | 0.0310673i | ||||
\(221\) | 1.39053 | + | 2.40847i | 0.0935371 | + | 0.162011i | ||||
\(222\) | 1.02822 | + | 5.83132i | 0.0690095 | + | 0.391372i | ||||
\(223\) | −4.82816 | − | 4.05131i | −0.323318 | − | 0.271296i | 0.466653 | − | 0.884441i | \(-0.345460\pi\) |
−0.789971 | + | 0.613145i | \(0.789904\pi\) | |||||||
\(224\) | −2.20574 | + | 1.85083i | −0.147377 | + | 0.123664i | ||||
\(225\) | 0.173648 | − | 0.984808i | 0.0115765 | − | 0.0656539i | ||||
\(226\) | 17.5398 | − | 6.38398i | 1.16673 | − | 0.424656i | ||||
\(227\) | 22.2131 | 1.47433 | 0.737167 | − | 0.675711i | \(-0.236163\pi\) | ||||
0.737167 | + | 0.675711i | \(0.236163\pi\) | |||||||
\(228\) | −3.06418 | − | 3.10013i | −0.202930 | − | 0.205311i | ||||
\(229\) | −14.5321 | −0.960307 | −0.480154 | − | 0.877184i | \(-0.659419\pi\) | ||||
−0.480154 | + | 0.877184i | \(0.659419\pi\) | |||||||
\(230\) | 1.47906 | − | 0.538332i | 0.0975260 | − | 0.0354966i | ||||
\(231\) | −0.266044 | + | 1.50881i | −0.0175044 | + | 0.0992726i | ||||
\(232\) | 2.37939 | − | 1.99654i | 0.156214 | − | 0.131079i | ||||
\(233\) | −8.73648 | − | 7.33078i | −0.572346 | − | 0.480255i | 0.310077 | − | 0.950711i | \(-0.399645\pi\) |
−0.882423 | + | 0.470456i | \(0.844089\pi\) | |||||||
\(234\) | 0.673648 | + | 3.82045i | 0.0440378 | + | 0.249751i | ||||
\(235\) | 3.85117 | + | 6.67042i | 0.251222 | + | 0.435130i | ||||
\(236\) | 3.84002 | − | 6.65111i | 0.249964 | − | 0.432951i | ||||
\(237\) | 1.37939 | + | 0.502055i | 0.0896007 | + | 0.0326120i | ||||
\(238\) | 1.93969 | + | 0.705990i | 0.125732 | + | 0.0457626i | ||||
\(239\) | −5.79473 | + | 10.0368i | −0.374830 | + | 0.649224i | −0.990302 | − | 0.138935i | \(-0.955632\pi\) |
0.615472 | + | 0.788159i | \(0.288966\pi\) | |||||||
\(240\) | −0.500000 | − | 0.866025i | −0.0322749 | − | 0.0559017i | ||||
\(241\) | −2.64749 | − | 15.0147i | −0.170540 | − | 0.967179i | −0.943167 | − | 0.332319i | \(-0.892169\pi\) |
0.772627 | − | 0.634860i | \(-0.218942\pi\) | |||||||
\(242\) | 8.20961 | + | 6.88868i | 0.527734 | + | 0.442821i | ||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | −2.53596 | + | 14.3821i | −0.162348 | + | 0.920722i | ||||
\(245\) | −1.21301 | + | 0.441500i | −0.0774964 | + | 0.0282064i | ||||
\(246\) | 3.95811 | 0.252360 | ||||||||
\(247\) | −7.05690 | − | 15.3669i | −0.449020 | − | 0.977775i | ||||
\(248\) | 4.83750 | 0.307181 | ||||||||
\(249\) | −3.49273 | + | 1.27125i | −0.221343 | + | 0.0805621i | ||||
\(250\) | −0.173648 | + | 0.984808i | −0.0109825 | + | 0.0622847i | ||||
\(251\) | −9.07991 | + | 7.61895i | −0.573119 | + | 0.480904i | −0.882679 | − | 0.469976i | \(-0.844263\pi\) |
0.309560 | + | 0.950880i | \(0.399818\pi\) | |||||||
\(252\) | 2.20574 | + | 1.85083i | 0.138948 | + | 0.116592i | ||||
\(253\) | −0.145430 | − | 0.824773i | −0.00914309 | − | 0.0518530i | ||||
\(254\) | −2.35844 | − | 4.08494i | −0.147982 | − | 0.256312i | ||||
\(255\) | −0.358441 | + | 0.620838i | −0.0224464 | + | 0.0388784i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 0.280592 | + | 0.102127i | 0.0175029 | + | 0.00637052i | 0.350757 | − | 0.936467i | \(-0.385924\pi\) |
−0.333254 | + | 0.942837i | \(0.608147\pi\) | |||||||
\(258\) | −0.488856 | + | 0.846723i | −0.0304348 | + | 0.0527147i | ||||
\(259\) | 8.52481 | + | 14.7654i | 0.529706 | + | 0.917478i | ||||
\(260\) | −0.673648 | − | 3.82045i | −0.0417779 | − | 0.236934i | ||||
\(261\) | −2.37939 | − | 1.99654i | −0.147280 | − | 0.123583i | ||||
\(262\) | 1.81521 | − | 1.52314i | 0.112144 | − | 0.0940999i | ||||
\(263\) | 3.28746 | − | 18.6441i | 0.202713 | − | 1.14964i | −0.698285 | − | 0.715820i | \(-0.746053\pi\) |
0.900998 | − | 0.433824i | \(-0.142836\pi\) | |||||||
\(264\) | −0.500000 | + | 0.181985i | −0.0307729 | + | 0.0112004i | ||||
\(265\) | −2.70914 | −0.166421 | ||||||||
\(266\) | −11.3439 | − | 5.37051i | −0.695539 | − | 0.329287i | ||||
\(267\) | −15.4611 | −0.946204 | ||||||||
\(268\) | 2.27972 | − | 0.829748i | 0.139256 | − | 0.0506850i | ||||
\(269\) | 5.02141 | − | 28.4778i | 0.306161 | − | 1.73632i | −0.311829 | − | 0.950138i | \(-0.600942\pi\) |
0.617990 | − | 0.786186i | \(-0.287947\pi\) | |||||||
\(270\) | −0.766044 | + | 0.642788i | −0.0466200 | + | 0.0391188i | ||||
\(271\) | 2.36050 | + | 1.98069i | 0.143390 | + | 0.120319i | 0.711661 | − | 0.702523i | \(-0.247943\pi\) |
−0.568271 | + | 0.822841i | \(0.692388\pi\) | |||||||
\(272\) | 0.124485 | + | 0.705990i | 0.00754802 | + | 0.0428070i | ||||
\(273\) | 5.58512 | + | 9.67372i | 0.338027 | + | 0.585480i | ||||
\(274\) | −0.624485 | + | 1.08164i | −0.0377265 | + | 0.0653443i | ||||
\(275\) | 0.500000 | + | 0.181985i | 0.0301511 | + | 0.0109741i | ||||
\(276\) | −1.47906 | − | 0.538332i | −0.0890287 | − | 0.0324038i | ||||
\(277\) | 2.17499 | − | 3.76720i | 0.130683 | − | 0.226349i | −0.793257 | − | 0.608887i | \(-0.791616\pi\) |
0.923940 | + | 0.382538i | \(0.124950\pi\) | |||||||
\(278\) | 4.39053 | + | 7.60462i | 0.263326 | + | 0.456095i | ||||
\(279\) | −0.840022 | − | 4.76400i | −0.0502908 | − | 0.285213i | ||||
\(280\) | −2.20574 | − | 1.85083i | −0.131818 | − | 0.110608i | ||||
\(281\) | −15.6480 | + | 13.1302i | −0.933479 | + | 0.783282i | −0.976439 | − | 0.215795i | \(-0.930766\pi\) |
0.0429599 | + | 0.999077i | \(0.486321\pi\) | |||||||
\(282\) | 1.33750 | − | 7.58532i | 0.0796467 | − | 0.451699i | ||||
\(283\) | 15.2626 | − | 5.55515i | 0.907270 | − | 0.330219i | 0.154108 | − | 0.988054i | \(-0.450750\pi\) |
0.753162 | + | 0.657835i | \(0.228528\pi\) | |||||||
\(284\) | 8.04963 | 0.477658 | ||||||||
\(285\) | 2.52094 | − | 3.55596i | 0.149328 | − | 0.210637i | ||||
\(286\) | −2.06418 | −0.122057 | ||||||||
\(287\) | 10.7096 | − | 3.89798i | 0.632168 | − | 0.230090i | ||||
\(288\) | −0.173648 | + | 0.984808i | −0.0102323 | + | 0.0580304i | ||||
\(289\) | −12.6291 | + | 10.5970i | −0.742887 | + | 0.623356i | ||||
\(290\) | 2.37939 | + | 1.99654i | 0.139722 | + | 0.117241i | ||||
\(291\) | 2.30200 | + | 13.0553i | 0.134946 | + | 0.765316i | ||||
\(292\) | 2.83022 | + | 4.90209i | 0.165626 | + | 0.286873i | ||||
\(293\) | 1.70961 | − | 2.96113i | 0.0998763 | − | 0.172991i | −0.811757 | − | 0.583995i | \(-0.801489\pi\) |
0.911633 | + | 0.411004i | \(0.134822\pi\) | |||||||
\(294\) | 1.21301 | + | 0.441500i | 0.0707442 | + | 0.0257488i | ||||
\(295\) | 7.21688 | + | 2.62673i | 0.420183 | + | 0.152934i | ||||
\(296\) | −2.96064 | + | 5.12797i | −0.172084 | + | 0.298057i | ||||
\(297\) | 0.266044 | + | 0.460802i | 0.0154375 | + | 0.0267385i | ||||
\(298\) | −1.16503 | − | 6.60721i | −0.0674884 | − | 0.382746i | ||||
\(299\) | −4.67752 | − | 3.92490i | −0.270508 | − | 0.226983i | ||||
\(300\) | 0.766044 | − | 0.642788i | 0.0442276 | − | 0.0371114i | ||||
\(301\) | −0.488856 | + | 2.77244i | −0.0281772 | + | 0.159801i | ||||
\(302\) | −18.0817 | + | 6.58121i | −1.04049 | + | 0.378706i | ||||
\(303\) | 14.7246 | 0.845907 | ||||||||
\(304\) | −0.354570 | − | 4.34445i | −0.0203360 | − | 0.249172i | ||||
\(305\) | −14.6040 | −0.836223 | ||||||||
\(306\) | 0.673648 | − | 0.245188i | 0.0385099 | − | 0.0140165i | ||||
\(307\) | 3.42943 | − | 19.4492i | 0.195728 | − | 1.11003i | −0.715651 | − | 0.698458i | \(-0.753870\pi\) |
0.911379 | − | 0.411569i | \(-0.135019\pi\) | |||||||
\(308\) | −1.17365 | + | 0.984808i | −0.0668748 | + | 0.0561146i | ||||
\(309\) | −8.22462 | − | 6.90128i | −0.467882 | − | 0.392600i | ||||
\(310\) | 0.840022 | + | 4.76400i | 0.0477101 | + | 0.270577i | ||||
\(311\) | −2.53074 | − | 4.38338i | −0.143505 | − | 0.248559i | 0.785309 | − | 0.619104i | \(-0.212504\pi\) |
−0.928814 | + | 0.370545i | \(0.879171\pi\) | |||||||
\(312\) | −1.93969 | + | 3.35965i | −0.109813 | + | 0.190203i | ||||
\(313\) | −17.6065 | − | 6.40825i | −0.995180 | − | 0.362216i | −0.207456 | − | 0.978244i | \(-0.566518\pi\) |
−0.787724 | + | 0.616028i | \(0.788741\pi\) | |||||||
\(314\) | −13.0214 | − | 4.73941i | −0.734841 | − | 0.267460i | ||||
\(315\) | −1.43969 | + | 2.49362i | −0.0811175 | + | 0.140500i | ||||
\(316\) | 0.733956 | + | 1.27125i | 0.0412882 | + | 0.0715133i | ||||
\(317\) | 0.0243481 | + | 0.138085i | 0.00136753 | + | 0.00775562i | 0.985484 | − | 0.169769i | \(-0.0543022\pi\) |
−0.984116 | + | 0.177525i | \(0.943191\pi\) | |||||||
\(318\) | 2.07532 | + | 1.74140i | 0.116378 | + | 0.0976530i | ||||
\(319\) | 1.26604 | − | 1.06234i | 0.0708849 | − | 0.0594795i | ||||
\(320\) | 0.173648 | − | 0.984808i | 0.00970723 | − | 0.0550524i | ||||
\(321\) | 14.7690 | − | 5.37549i | 0.824327 | − | 0.300031i | ||||
\(322\) | −4.53209 | −0.252563 | ||||||||
\(323\) | −2.57011 | + | 1.77736i | −0.143005 | + | 0.0988949i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 3.64543 | − | 1.32683i | 0.202212 | − | 0.0735992i | ||||
\(326\) | 2.36571 | − | 13.4166i | 0.131025 | − | 0.743079i | ||||
\(327\) | 10.3871 | − | 8.71583i | 0.574409 | − | 0.481987i | ||||
\(328\) | 3.03209 | + | 2.54422i | 0.167419 | + | 0.140481i | ||||
\(329\) | −3.85117 | − | 21.8411i | −0.212322 | − | 1.20414i | ||||
\(330\) | −0.266044 | − | 0.460802i | −0.0146453 | − | 0.0253663i | ||||
\(331\) | 8.64930 | − | 14.9810i | 0.475409 | − | 0.823432i | −0.524195 | − | 0.851598i | \(-0.675634\pi\) |
0.999603 | + | 0.0281667i | \(0.00896693\pi\) | |||||||
\(332\) | −3.49273 | − | 1.27125i | −0.191688 | − | 0.0697688i | ||||
\(333\) | 5.56418 | + | 2.02520i | 0.304915 | + | 0.110980i | ||||
\(334\) | −5.82888 | + | 10.0959i | −0.318942 | + | 0.552424i | ||||
\(335\) | 1.21301 | + | 2.10100i | 0.0662739 | + | 0.114790i | ||||
\(336\) | 0.500000 | + | 2.83564i | 0.0272772 | + | 0.154697i | ||||
\(337\) | 26.0128 | + | 21.8273i | 1.41701 | + | 1.18901i | 0.952920 | + | 0.303220i | \(0.0980618\pi\) |
0.464087 | + | 0.885790i | \(0.346383\pi\) | |||||||
\(338\) | −1.57011 | + | 1.31748i | −0.0854026 | + | 0.0716613i | ||||
\(339\) | 3.24123 | − | 18.3819i | 0.176039 | − | 0.998369i | ||||
\(340\) | −0.673648 | + | 0.245188i | −0.0365337 | + | 0.0132972i | ||||
\(341\) | 2.57398 | 0.139389 | ||||||||
\(342\) | −4.21688 | + | 1.10359i | −0.228023 | + | 0.0596753i | ||||
\(343\) | −16.4388 | −0.887613 | ||||||||
\(344\) | −0.918748 | + | 0.334397i | −0.0495356 | + | 0.0180295i | ||||
\(345\) | 0.273318 | − | 1.55007i | 0.0147150 | − | 0.0834527i | ||||
\(346\) | 4.62449 | − | 3.88040i | 0.248614 | − | 0.208612i | ||||
\(347\) | −10.2005 | − | 8.55925i | −0.547593 | − | 0.459485i | 0.326532 | − | 0.945186i | \(-0.394120\pi\) |
−0.874125 | + | 0.485701i | \(0.838564\pi\) | |||||||
\(348\) | −0.539363 | − | 3.05888i | −0.0289129 | − | 0.163973i | ||||
\(349\) | −2.63563 | − | 4.56504i | −0.141082 | − | 0.244361i | 0.786822 | − | 0.617180i | \(-0.211725\pi\) |
−0.927904 | + | 0.372818i | \(0.878391\pi\) | |||||||
\(350\) | 1.43969 | − | 2.49362i | 0.0769548 | − | 0.133290i | ||||
\(351\) | 3.64543 | + | 1.32683i | 0.194579 | + | 0.0708208i | ||||
\(352\) | −0.500000 | − | 0.181985i | −0.0266501 | − | 0.00969984i | ||||
\(353\) | −16.9290 | + | 29.3219i | −0.901041 | + | 1.56065i | −0.0748949 | + | 0.997191i | \(0.523862\pi\) |
−0.826146 | + | 0.563457i | \(0.809471\pi\) | |||||||
\(354\) | −3.84002 | − | 6.65111i | −0.204095 | − | 0.353503i | ||||
\(355\) | 1.39780 | + | 7.92734i | 0.0741877 | + | 0.420739i | ||||
\(356\) | −11.8439 | − | 9.93821i | −0.627725 | − | 0.526724i | ||||
\(357\) | 1.58125 | − | 1.32683i | 0.0836887 | − | 0.0702232i | ||||
\(358\) | −0.212134 | + | 1.20307i | −0.0112116 | + | 0.0635842i | ||||
\(359\) | −29.6339 | + | 10.7858i | −1.56402 | + | 0.569255i | −0.971652 | − | 0.236415i | \(-0.924027\pi\) |
−0.592364 | + | 0.805670i | \(0.701805\pi\) | |||||||
\(360\) | −1.00000 | −0.0527046 | ||||||||
\(361\) | 16.5642 | − | 9.30742i | 0.871799 | − | 0.489864i | ||||
\(362\) | −18.0077 | −0.946466 | ||||||||
\(363\) | 10.0706 | − | 3.66539i | 0.528568 | − | 0.192383i | ||||
\(364\) | −1.93969 | + | 11.0005i | −0.101668 | + | 0.576585i | ||||
\(365\) | −4.33615 | + | 3.63846i | −0.226965 | + | 0.190446i | ||||
\(366\) | 11.1873 | + | 9.38728i | 0.584771 | + | 0.490681i | ||||
\(367\) | −1.90255 | − | 10.7899i | −0.0993124 | − | 0.563228i | −0.993340 | − | 0.115217i | \(-0.963244\pi\) |
0.894028 | − | 0.448011i | \(-0.147868\pi\) | |||||||
\(368\) | −0.786989 | − | 1.36310i | −0.0410246 | − | 0.0710568i | ||||
\(369\) | 1.97906 | − | 3.42782i | 0.103026 | − | 0.178445i | ||||
\(370\) | −5.56418 | − | 2.02520i | −0.289268 | − | 0.105285i | ||||
\(371\) | 7.33022 | + | 2.66798i | 0.380566 | + | 0.138515i | ||||
\(372\) | 2.41875 | − | 4.18939i | 0.125406 | − | 0.217210i | ||||
\(373\) | 2.06893 | + | 3.58348i | 0.107125 | + | 0.185546i | 0.914604 | − | 0.404350i | \(-0.132502\pi\) |
−0.807479 | + | 0.589896i | \(0.799169\pi\) | |||||||
\(374\) | 0.0662372 | + | 0.375650i | 0.00342504 | + | 0.0194244i | ||||
\(375\) | 0.766044 | + | 0.642788i | 0.0395584 | + | 0.0331934i | ||||
\(376\) | 5.90033 | − | 4.95096i | 0.304286 | − | 0.255327i | ||||
\(377\) | 2.09240 | − | 11.8666i | 0.107764 | − | 0.611159i | ||||
\(378\) | 2.70574 | − | 0.984808i | 0.139168 | − | 0.0506530i | ||||
\(379\) | 33.8631 | 1.73943 | 0.869715 | − | 0.493555i | \(-0.164303\pi\) | ||||
0.869715 | + | 0.493555i | \(0.164303\pi\) | |||||||
\(380\) | 4.21688 | − | 1.10359i | 0.216321 | − | 0.0566130i | ||||
\(381\) | −4.71688 | −0.241653 | ||||||||
\(382\) | −1.59240 | + | 0.579585i | −0.0814741 | + | 0.0296541i | ||||
\(383\) | 3.36366 | − | 19.0762i | 0.171875 | − | 0.974750i | −0.769815 | − | 0.638267i | \(-0.779651\pi\) |
0.941690 | − | 0.336483i | \(-0.109237\pi\) | |||||||
\(384\) | −0.766044 | + | 0.642788i | −0.0390920 | + | 0.0328021i | ||||
\(385\) | −1.17365 | − | 0.984808i | −0.0598146 | − | 0.0501905i | ||||
\(386\) | 0.0482857 | + | 0.273842i | 0.00245768 | + | 0.0139382i | ||||
\(387\) | 0.488856 | + | 0.846723i | 0.0248499 | + | 0.0430413i | ||||
\(388\) | −6.62836 | + | 11.4806i | −0.336504 | + | 0.582842i | ||||
\(389\) | −25.1570 | − | 9.15641i | −1.27551 | − | 0.464249i | −0.386567 | − | 0.922261i | \(-0.626339\pi\) |
−0.888946 | + | 0.458013i | \(0.848561\pi\) | |||||||
\(390\) | −3.64543 | − | 1.32683i | −0.184594 | − | 0.0671865i | ||||
\(391\) | −0.564178 | + | 0.977185i | −0.0285317 | + | 0.0494183i | ||||
\(392\) | 0.645430 | + | 1.11792i | 0.0325991 | + | 0.0564633i | ||||
\(393\) | −0.411474 | − | 2.33359i | −0.0207561 | − | 0.117714i | ||||
\(394\) | −5.55690 | − | 4.66280i | −0.279953 | − | 0.234908i | ||||
\(395\) | −1.12449 | + | 0.943555i | −0.0565790 | + | 0.0474754i | ||||
\(396\) | −0.0923963 | + | 0.524005i | −0.00464309 | + | 0.0263323i | ||||
\(397\) | −2.04664 | + | 0.744915i | −0.102718 | + | 0.0373862i | −0.392868 | − | 0.919595i | \(-0.628517\pi\) |
0.290150 | + | 0.956981i | \(0.406295\pi\) | |||||||
\(398\) | −1.42602 | −0.0714800 | ||||||||
\(399\) | −10.3229 | + | 7.13884i | −0.516794 | + | 0.357389i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 8.61721 | − | 3.13641i | 0.430323 | − | 0.156625i | −0.117772 | − | 0.993041i | \(-0.537575\pi\) |
0.548095 | + | 0.836416i | \(0.315353\pi\) | |||||||
\(402\) | 0.421274 | − | 2.38917i | 0.0210113 | − | 0.119161i | ||||
\(403\) | 14.3760 | − | 12.0629i | 0.716119 | − | 0.600895i | ||||
\(404\) | 11.2797 | + | 9.46480i | 0.561187 | + | 0.470892i | ||||
\(405\) | 0.173648 | + | 0.984808i | 0.00862865 | + | 0.0489355i | ||||
\(406\) | −4.47178 | − | 7.74535i | −0.221931 | − | 0.384395i | ||||
\(407\) | −1.57532 | + | 2.72854i | −0.0780858 | + | 0.135249i | ||||
\(408\) | 0.673648 | + | 0.245188i | 0.0333506 | + | 0.0121386i | ||||
\(409\) | 17.9402 | + | 6.52968i | 0.887084 | + | 0.322872i | 0.745065 | − | 0.666992i | \(-0.232418\pi\) |
0.142019 | + | 0.989864i | \(0.454641\pi\) | |||||||
\(410\) | −1.97906 | + | 3.42782i | −0.0977386 | + | 0.169288i | ||||
\(411\) | 0.624485 | + | 1.08164i | 0.0308036 | + | 0.0533534i | ||||
\(412\) | −1.86437 | − | 10.5734i | −0.0918509 | − | 0.520913i | ||||
\(413\) | −16.9402 | − | 14.2145i | −0.833571 | − | 0.699449i | ||||
\(414\) | −1.20574 | + | 1.01173i | −0.0592587 | + | 0.0497240i | ||||
\(415\) | 0.645430 | − | 3.66041i | 0.0316829 | − | 0.179683i | ||||
\(416\) | −3.64543 | + | 1.32683i | −0.178732 | + | 0.0650531i | ||||
\(417\) | 8.78106 | 0.430010 | ||||||||
\(418\) | −0.188663 | − | 2.31164i | −0.00922781 | − | 0.113066i | ||||
\(419\) | −16.1557 | −0.789257 | −0.394629 | − | 0.918841i | \(-0.629127\pi\) | ||||
−0.394629 | + | 0.918841i | \(0.629127\pi\) | |||||||
\(420\) | −2.70574 | + | 0.984808i | −0.132026 | + | 0.0480537i | ||||
\(421\) | 2.77941 | − | 15.7628i | 0.135460 | − | 0.768233i | −0.839078 | − | 0.544011i | \(-0.816905\pi\) |
0.974538 | − | 0.224222i | \(-0.0719840\pi\) | |||||||
\(422\) | −3.26991 | + | 2.74378i | −0.159177 | + | 0.133565i | ||||
\(423\) | −5.90033 | − | 4.95096i | −0.286884 | − | 0.240724i | ||||
\(424\) | 0.470437 | + | 2.66798i | 0.0228465 | + | 0.129569i | ||||
\(425\) | −0.358441 | − | 0.620838i | −0.0173869 | − | 0.0301150i | ||||
\(426\) | 4.02481 | − | 6.97118i | 0.195003 | − | 0.337755i | ||||
\(427\) | 39.5146 | + | 14.3821i | 1.91225 | + | 0.696001i | ||||
\(428\) | 14.7690 | + | 5.37549i | 0.713888 | + | 0.259834i | ||||
\(429\) | −1.03209 | + | 1.78763i | −0.0498297 | + | 0.0863076i | ||||
\(430\) | −0.488856 | − | 0.846723i | −0.0235747 | − | 0.0408326i | ||||
\(431\) | 4.28817 | + | 24.3194i | 0.206554 | + | 1.17143i | 0.894976 | + | 0.446115i | \(0.147193\pi\) |
−0.688422 | + | 0.725311i | \(0.741696\pi\) | |||||||
\(432\) | 0.766044 | + | 0.642788i | 0.0368563 | + | 0.0309261i | ||||
\(433\) | −29.8350 | + | 25.0346i | −1.43378 | + | 1.20308i | −0.490344 | + | 0.871529i | \(0.663129\pi\) |
−0.943436 | + | 0.331555i | \(0.892427\pi\) | |||||||
\(434\) | 2.41875 | − | 13.7174i | 0.116104 | − | 0.658456i | ||||
\(435\) | 2.91875 | − | 1.06234i | 0.139943 | − | 0.0509352i | ||||
\(436\) | 13.5594 | 0.649379 | ||||||||
\(437\) | 3.96791 | − | 5.59700i | 0.189811 | − | 0.267741i | ||||
\(438\) | 5.66044 | 0.270466 | ||||||||
\(439\) | −8.37433 | + | 3.04801i | −0.399685 | + | 0.145473i | −0.534039 | − | 0.845460i | \(-0.679326\pi\) |
0.134354 | + | 0.990933i | \(0.457104\pi\) | |||||||
\(440\) | 0.0923963 | − | 0.524005i | 0.00440482 | − | 0.0249810i | ||||
\(441\) | 0.988856 | − | 0.829748i | 0.0470884 | − | 0.0395118i | ||||
\(442\) | 2.13041 | + | 1.78763i | 0.101334 | + | 0.0850289i | ||||
\(443\) | 3.12495 | + | 17.7225i | 0.148471 | + | 0.842021i | 0.964514 | + | 0.264030i | \(0.0850518\pi\) |
−0.816043 | + | 0.577990i | \(0.803837\pi\) | |||||||
\(444\) | 2.96064 | + | 5.12797i | 0.140506 | + | 0.243363i | ||||
\(445\) | 7.73055 | − | 13.3897i | 0.366463 | − | 0.634733i | ||||
\(446\) | −5.92262 | − | 2.15566i | −0.280444 | − | 0.102073i | ||||
\(447\) | −6.30453 | − | 2.29466i | −0.298194 | − | 0.108534i | ||||
\(448\) | −1.43969 | + | 2.49362i | −0.0680191 | + | 0.117813i | ||||
\(449\) | −2.33662 | − | 4.04714i | −0.110272 | − | 0.190996i | 0.805608 | − | 0.592449i | \(-0.201839\pi\) |
−0.915880 | + | 0.401452i | \(0.868505\pi\) | |||||||
\(450\) | −0.173648 | − | 0.984808i | −0.00818585 | − | 0.0464243i | ||||
\(451\) | 1.61334 | + | 1.35375i | 0.0759693 | + | 0.0637458i | ||||
\(452\) | 14.2986 | − | 11.9980i | 0.672550 | − | 0.564336i | ||||
\(453\) | −3.34137 | + | 18.9498i | −0.156991 | + | 0.890341i | ||||
\(454\) | 20.8735 | − | 7.59732i | 0.979640 | − | 0.356560i | ||||
\(455\) | −11.1702 | −0.523669 | ||||||||
\(456\) | −3.93969 | − | 1.86516i | −0.184493 | − | 0.0873441i | ||||
\(457\) | −7.20708 | −0.337133 | −0.168567 | − | 0.985690i | \(-0.553914\pi\) | ||||
−0.168567 | + | 0.985690i | \(0.553914\pi\) | |||||||
\(458\) | −13.6557 | + | 4.97027i | −0.638089 | + | 0.232245i | ||||
\(459\) | 0.124485 | − | 0.705990i | 0.00581047 | − | 0.0329528i | ||||
\(460\) | 1.20574 | − | 1.01173i | 0.0562178 | − | 0.0471723i | ||||
\(461\) | 26.1616 | + | 21.9522i | 1.21847 | + | 1.02242i | 0.998903 | + | 0.0468185i | \(0.0149083\pi\) |
0.219565 | + | 0.975598i | \(0.429536\pi\) | |||||||
\(462\) | 0.266044 | + | 1.50881i | 0.0123775 | + | 0.0701963i | ||||
\(463\) | 3.25965 | + | 5.64588i | 0.151489 | + | 0.262386i | 0.931775 | − | 0.363036i | \(-0.118260\pi\) |
−0.780286 | + | 0.625423i | \(0.784927\pi\) | |||||||
\(464\) | 1.55303 | − | 2.68993i | 0.0720978 | − | 0.124877i | ||||
\(465\) | 4.54576 | + | 1.65452i | 0.210805 | + | 0.0767266i | ||||
\(466\) | −10.7169 | − | 3.90063i | −0.496450 | − | 0.180693i | ||||
\(467\) | −4.09240 | + | 7.08824i | −0.189374 | + | 0.328005i | −0.945042 | − | 0.326950i | \(-0.893979\pi\) |
0.755668 | + | 0.654955i | \(0.227312\pi\) | |||||||
\(468\) | 1.93969 | + | 3.35965i | 0.0896623 | + | 0.155300i | ||||
\(469\) | −1.21301 | − | 6.87933i | −0.0560116 | − | 0.317658i | ||||
\(470\) | 5.90033 | + | 4.95096i | 0.272162 | + | 0.228371i | ||||
\(471\) | −10.6152 | + | 8.90717i | −0.489120 | + | 0.410421i | ||||
\(472\) | 1.33363 | − | 7.56337i | 0.0613851 | − | 0.348132i | ||||
\(473\) | −0.488856 | + | 0.177929i | −0.0224776 | + | 0.00818118i | ||||
\(474\) | 1.46791 | 0.0674234 | ||||||||
\(475\) | 1.81908 | + | 3.96118i | 0.0834650 | + | 0.181751i | ||||
\(476\) | 2.06418 | 0.0946114 | ||||||||
\(477\) | 2.54576 | − | 0.926581i | 0.116562 | − | 0.0424252i | ||||
\(478\) | −2.01249 | + | 11.4134i | −0.0920491 | + | 0.522036i | ||||
\(479\) | −18.5141 | + | 15.5352i | −0.845933 | + | 0.709822i | −0.958890 | − | 0.283778i | \(-0.908412\pi\) |
0.112957 | + | 0.993600i | \(0.463968\pi\) | |||||||
\(480\) | −0.766044 | − | 0.642788i | −0.0349650 | − | 0.0293391i | ||||
\(481\) | 3.98886 | + | 22.6219i | 0.181876 | + | 1.03147i | ||||
\(482\) | −7.62314 | − | 13.2037i | −0.347225 | − | 0.601411i | ||||
\(483\) | −2.26604 | + | 3.92490i | −0.103109 | + | 0.178589i | ||||
\(484\) | 10.0706 | + | 3.66539i | 0.457753 | + | 0.166609i | ||||
\(485\) | −12.4572 | − | 4.53406i | −0.565654 | − | 0.205881i | ||||
\(486\) | 0.500000 | − | 0.866025i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | 10.9500 | + | 18.9659i | 0.496190 | + | 0.859426i | 0.999990 | − | 0.00439380i | \(-0.00139859\pi\) |
−0.503800 | + | 0.863820i | \(0.668065\pi\) | |||||||
\(488\) | 2.53596 | + | 14.3821i | 0.114797 | + | 0.651049i | ||||
\(489\) | −10.4363 | − | 8.75709i | −0.471945 | − | 0.396009i | ||||
\(490\) | −0.988856 | + | 0.829748i | −0.0446719 | + | 0.0374842i | ||||
\(491\) | 2.35875 | − | 13.3771i | 0.106449 | − | 0.603701i | −0.884183 | − | 0.467140i | \(-0.845284\pi\) |
0.990632 | − | 0.136560i | \(-0.0436047\pi\) | |||||||
\(492\) | 3.71941 | − | 1.35375i | 0.167684 | − | 0.0610319i | ||||
\(493\) | −2.22668 | −0.100285 | ||||||||
\(494\) | −11.8871 | − | 12.0266i | −0.534827 | − | 0.541102i | ||||
\(495\) | −0.532089 | −0.0239156 | ||||||||
\(496\) | 4.54576 | − | 1.65452i | 0.204111 | − | 0.0742902i | ||||
\(497\) | 4.02481 | − | 22.8259i | 0.180538 | − | 1.02388i | ||||
\(498\) | −2.84730 | + | 2.38917i | −0.127590 | + | 0.107061i | ||||
\(499\) | 30.0069 | + | 25.1787i | 1.34329 | + | 1.12716i | 0.980767 | + | 0.195181i | \(0.0625295\pi\) |
0.362525 | + | 0.931974i | \(0.381915\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | 5.82888 | + | 10.0959i | 0.260415 | + | 0.451052i | ||||
\(502\) | −5.92649 | + | 10.2650i | −0.264512 | + | 0.458148i | ||||
\(503\) | −28.0035 | − | 10.1924i | −1.24861 | − | 0.454458i | −0.368680 | − | 0.929556i | \(-0.620190\pi\) |
−0.879933 | + | 0.475099i | \(0.842412\pi\) | |||||||
\(504\) | 2.70574 | + | 0.984808i | 0.120523 | + | 0.0438668i | ||||
\(505\) | −7.36231 | + | 12.7519i | −0.327619 | + | 0.567452i | ||||
\(506\) | −0.418748 | − | 0.725293i | −0.0186156 | − | 0.0322432i | ||||
\(507\) | 0.355914 | + | 2.01849i | 0.0158067 | + | 0.0896443i | ||||
\(508\) | −3.61334 | − | 3.03195i | −0.160316 | − | 0.134521i | ||||
\(509\) | −10.0419 | + | 8.42615i | −0.445099 | + | 0.373482i | −0.837613 | − | 0.546263i | \(-0.816050\pi\) |
0.392514 | + | 0.919746i | \(0.371605\pi\) | |||||||
\(510\) | −0.124485 | + | 0.705990i | −0.00551230 | + | 0.0312618i | ||||
\(511\) | 15.3157 | − | 5.57445i | 0.677526 | − | 0.246599i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.15270 | + | 4.20372i | −0.0508931 | + | 0.185599i | ||||
\(514\) | 0.298600 | 0.0131707 | ||||||||
\(515\) | 10.0890 | − | 3.67209i | 0.444574 | − | 0.161812i | ||||
\(516\) | −0.169778 | + | 0.962858i | −0.00747405 | + | 0.0423874i | ||||
\(517\) | 3.13950 | − | 2.63435i | 0.138075 | − | 0.115859i | ||||
\(518\) | 13.0608 | + | 10.9593i | 0.573857 | + | 0.481524i | ||||
\(519\) | −1.04829 | − | 5.94512i | −0.0460146 | − | 0.260962i | ||||
\(520\) | −1.93969 | − | 3.35965i | −0.0850611 | − | 0.147330i | ||||
\(521\) | 13.7959 | − | 23.8952i | 0.604410 | − | 1.04687i | −0.387735 | − | 0.921771i | \(-0.626742\pi\) |
0.992144 | − | 0.125098i | \(-0.0399244\pi\) | |||||||
\(522\) | −2.91875 | − | 1.06234i | −0.127750 | − | 0.0464972i | ||||
\(523\) | −4.51114 | − | 1.64192i | −0.197259 | − | 0.0717962i | 0.241502 | − | 0.970400i | \(-0.422360\pi\) |
−0.438760 | + | 0.898604i | \(0.644582\pi\) | |||||||
\(524\) | 1.18479 | − | 2.05212i | 0.0517579 | − | 0.0896473i | ||||
\(525\) | −1.43969 | − | 2.49362i | −0.0628333 | − | 0.108831i | ||||
\(526\) | −3.28746 | − | 18.6441i | −0.143340 | − | 0.812921i | ||||
\(527\) | −2.65657 | − | 2.22913i | −0.115722 | − | 0.0971024i | ||||
\(528\) | −0.407604 | + | 0.342020i | −0.0177387 | + | 0.0148845i | ||||
\(529\) | −3.56371 | + | 20.2108i | −0.154944 | + | 0.878731i | ||||
\(530\) | −2.54576 | + | 0.926581i | −0.110581 | + | 0.0402481i | ||||
\(531\) | −7.68004 | −0.333286 | ||||||||
\(532\) | −12.4966 | − | 1.16679i | −0.541796 | − | 0.0505869i | ||||
\(533\) | 15.3550 | 0.665100 | ||||||||
\(534\) | −14.5287 | + | 5.28801i | −0.628718 | + | 0.228835i | ||||
\(535\) | −2.72921 | + | 15.4781i | −0.117994 | + | 0.669177i | ||||
\(536\) | 1.85844 | − | 1.55942i | 0.0802724 | − | 0.0673566i | ||||
\(537\) | 0.935822 | + | 0.785248i | 0.0403837 | + | 0.0338860i | ||||
\(538\) | −5.02141 | − | 28.4778i | −0.216488 | − | 1.22777i | ||||
\(539\) | 0.343426 | + | 0.594831i | 0.0147924 | + | 0.0256212i | ||||
\(540\) | −0.500000 | + | 0.866025i | −0.0215166 | + | 0.0372678i | ||||
\(541\) | −39.7340 | − | 14.4620i | −1.70830 | − | 0.621770i | −0.711572 | − | 0.702613i | \(-0.752016\pi\) |
−0.996727 | + | 0.0808436i | \(0.974239\pi\) | |||||||
\(542\) | 2.89558 | + | 1.05391i | 0.124376 | + | 0.0452691i | ||||
\(543\) | −9.00387 | + | 15.5952i | −0.386393 | + | 0.669252i | ||||
\(544\) | 0.358441 | + | 0.620838i | 0.0153680 | + | 0.0266182i | ||||
\(545\) | 2.35457 | + | 13.3534i | 0.100859 | + | 0.571998i | ||||
\(546\) | 8.55690 | + | 7.18009i | 0.366202 | + | 0.307280i | ||||
\(547\) | −25.3855 | + | 21.3010i | −1.08541 | + | 0.910765i | −0.996359 | − | 0.0852626i | \(-0.972827\pi\) |
−0.0890485 | + | 0.996027i | \(0.528383\pi\) | |||||||
\(548\) | −0.216881 | + | 1.23000i | −0.00926471 | + | 0.0525428i | ||||
\(549\) | 13.7233 | − | 4.99486i | 0.585695 | − | 0.213176i | ||||
\(550\) | 0.532089 | 0.0226883 | ||||||||
\(551\) | 13.4804 | + | 1.25865i | 0.574284 | + | 0.0536203i | ||||
\(552\) | −1.57398 | −0.0669930 | ||||||||
\(553\) | 3.97178 | − | 1.44561i | 0.168897 | − | 0.0614736i | ||||
\(554\) | 0.755367 | − | 4.28390i | 0.0320925 | − | 0.182005i | ||||
\(555\) | −4.53596 | + | 3.80612i | −0.192541 | + | 0.161561i | ||||
\(556\) | 6.72668 | + | 5.64436i | 0.285275 | + | 0.239374i | ||||
\(557\) | 2.40673 | + | 13.6492i | 0.101976 | + | 0.578336i | 0.992385 | + | 0.123174i | \(0.0393075\pi\) |
−0.890409 | + | 0.455162i | \(0.849581\pi\) | |||||||
\(558\) | −2.41875 | − | 4.18939i | −0.102394 | − | 0.177351i | ||||
\(559\) | −1.89646 | + | 3.28476i | −0.0802117 | + | 0.138931i | ||||
\(560\) | −2.70574 | − | 0.984808i | −0.114338 | − | 0.0416157i | ||||
\(561\) | 0.358441 | + | 0.130462i | 0.0151334 | + | 0.00550810i | ||||
\(562\) | −10.2135 | + | 17.6903i | −0.430830 | + | 0.746219i | ||||
\(563\) | 12.9003 | + | 22.3440i | 0.543684 | + | 0.941688i | 0.998688 | + | 0.0511992i | \(0.0163044\pi\) |
−0.455004 | + | 0.890489i | \(0.650362\pi\) | |||||||
\(564\) | −1.33750 | − | 7.58532i | −0.0563187 | − | 0.319399i | ||||
\(565\) | 14.2986 | + | 11.9980i | 0.601547 | + | 0.504758i | ||||
\(566\) | 12.4422 | − | 10.4403i | 0.522985 | − | 0.438837i | ||||
\(567\) | 0.500000 | − | 2.83564i | 0.0209980 | − | 0.119086i | ||||
\(568\) | 7.56418 | − | 2.75314i | 0.317386 | − | 0.115519i | ||||
\(569\) | 10.8553 | 0.455080 | 0.227540 | − | 0.973769i | \(-0.426932\pi\) | ||||
0.227540 | + | 0.973769i | \(0.426932\pi\) | |||||||
\(570\) | 1.15270 | − | 4.20372i | 0.0482814 | − | 0.176075i | ||||
\(571\) | 20.1239 | 0.842160 | 0.421080 | − | 0.907024i | \(-0.361651\pi\) | ||||
0.421080 | + | 0.907024i | \(0.361651\pi\) | |||||||
\(572\) | −1.93969 | + | 0.705990i | −0.0811026 | + | 0.0295189i | ||||
\(573\) | −0.294263 | + | 1.66885i | −0.0122930 | + | 0.0697171i | ||||
\(574\) | 8.73055 | − | 7.32580i | 0.364406 | − | 0.305773i | ||||
\(575\) | 1.20574 | + | 1.01173i | 0.0502827 | + | 0.0421922i | ||||
\(576\) | 0.173648 | + | 0.984808i | 0.00723534 | + | 0.0410337i | ||||
\(577\) | −6.70486 | − | 11.6132i | −0.279127 | − | 0.483462i | 0.692041 | − | 0.721858i | \(-0.256712\pi\) |
−0.971168 | + | 0.238396i | \(0.923378\pi\) | |||||||
\(578\) | −8.24304 | + | 14.2774i | −0.342865 | + | 0.593860i | ||||
\(579\) | 0.261297 | + | 0.0951042i | 0.0108591 | + | 0.00395240i | ||||
\(580\) | 2.91875 | + | 1.06234i | 0.121194 | + | 0.0441112i | ||||
\(581\) | −5.35117 | + | 9.26849i | −0.222004 | + | 0.384522i | ||||
\(582\) | 6.62836 | + | 11.4806i | 0.274754 | + | 0.475888i | ||||
\(583\) | 0.250314 | + | 1.41960i | 0.0103670 | + | 0.0587940i | ||||
\(584\) | 4.33615 | + | 3.63846i | 0.179431 | + | 0.150561i | ||||
\(585\) | −2.97178 | + | 2.49362i | −0.122868 | + | 0.103099i | ||||
\(586\) | 0.593740 | − | 3.36727i | 0.0245272 | − | 0.139101i | ||||
\(587\) | −23.3427 | + | 8.49605i | −0.963457 | + | 0.350670i | −0.775387 | − | 0.631486i | \(-0.782445\pi\) |
−0.188070 | + | 0.982156i | \(0.560223\pi\) | |||||||
\(588\) | 1.29086 | 0.0532341 | ||||||||
\(589\) | 14.8229 | + | 14.9969i | 0.610769 | + | 0.617935i | ||||
\(590\) | 7.68004 | 0.316182 | ||||||||
\(591\) | −6.81655 | + | 2.48102i | −0.280395 | + | 0.102056i | ||||
\(592\) | −1.02822 | + | 5.83132i | −0.0422595 | + | 0.239666i | ||||
\(593\) | −35.1321 | + | 29.4793i | −1.44270 | + | 1.21057i | −0.505003 | + | 0.863117i | \(0.668509\pi\) |
−0.937698 | + | 0.347452i | \(0.887047\pi\) | |||||||
\(594\) | 0.407604 | + | 0.342020i | 0.0167242 | + | 0.0140333i | ||||
\(595\) | 0.358441 | + | 2.03282i | 0.0146946 | + | 0.0833374i | ||||
\(596\) | −3.35457 | − | 5.81029i | −0.137409 | − | 0.237999i | ||||
\(597\) | −0.713011 | + | 1.23497i | −0.0291816 | + | 0.0505440i | ||||
\(598\) | −5.73783 | − | 2.08840i | −0.234637 | − | 0.0854009i | ||||
\(599\) | 45.7435 | + | 16.6493i | 1.86903 | + | 0.680271i | 0.970370 | + | 0.241622i | \(0.0776795\pi\) |
0.898659 | + | 0.438649i | \(0.144543\pi\) | |||||||
\(600\) | 0.500000 | − | 0.866025i | 0.0204124 | − | 0.0353553i | ||||
\(601\) | 18.3981 | + | 31.8665i | 0.750474 | + | 1.29986i | 0.947593 | + | 0.319480i | \(0.103508\pi\) |
−0.197118 | + | 0.980380i | \(0.563158\pi\) | |||||||
\(602\) | 0.488856 | + | 2.77244i | 0.0199243 | + | 0.112996i | ||||
\(603\) | −1.85844 | − | 1.55942i | −0.0756816 | − | 0.0635044i | ||||
\(604\) | −14.7404 | + | 12.3686i | −0.599776 | + | 0.503272i | ||||
\(605\) | −1.86097 | + | 10.5541i | −0.0756591 | + | 0.429084i | ||||
\(606\) | 13.8366 | − | 5.03612i | 0.562074 | − | 0.204578i | ||||
\(607\) | −28.8881 | −1.17253 | −0.586265 | − | 0.810119i | \(-0.699402\pi\) | ||||
−0.586265 | + | 0.810119i | \(0.699402\pi\) | |||||||
\(608\) | −1.81908 | − | 3.96118i | −0.0737733 | − | 0.160647i | ||||
\(609\) | −8.94356 | −0.362411 | ||||||||
\(610\) | −13.7233 | + | 4.99486i | −0.555639 | + | 0.202236i | ||||
\(611\) | 5.18866 | − | 29.4264i | 0.209911 | − | 1.19046i | ||||
\(612\) | 0.549163 | − | 0.460802i | 0.0221986 | − | 0.0186268i | ||||
\(613\) | 26.5612 | + | 22.2875i | 1.07280 | + | 0.900185i | 0.995303 | − | 0.0968080i | \(-0.0308633\pi\) |
0.0774953 | + | 0.996993i | \(0.475308\pi\) | |||||||
\(614\) | −3.42943 | − | 19.4492i | −0.138400 | − | 0.784907i | ||||
\(615\) | 1.97906 | + | 3.42782i | 0.0798032 | + | 0.138223i | ||||
\(616\) | −0.766044 | + | 1.32683i | −0.0308648 | + | 0.0534594i | ||||
\(617\) | 32.7952 | + | 11.9365i | 1.32028 | + | 0.480544i | 0.903550 | − | 0.428483i | \(-0.140952\pi\) |
0.416735 | + | 0.909028i | \(0.363174\pi\) | |||||||
\(618\) | −10.0890 | − | 3.67209i | −0.405839 | − | 0.147713i | ||||
\(619\) | 16.7935 | − | 29.0873i | 0.674990 | − | 1.16912i | −0.301482 | − | 0.953472i | \(-0.597481\pi\) |
0.976472 | − | 0.215645i | \(-0.0691853\pi\) | |||||||
\(620\) | 2.41875 | + | 4.18939i | 0.0971393 | + | 0.168250i | ||||
\(621\) | 0.273318 | + | 1.55007i | 0.0109679 | + | 0.0622020i | ||||
\(622\) | −3.87733 | − | 3.25346i | −0.155467 | − | 0.130452i | ||||
\(623\) | −34.1031 | + | 28.6159i | −1.36631 | + | 1.14647i | ||||
\(624\) | −0.673648 | + | 3.82045i | −0.0269675 | + | 0.152940i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | −18.7365 | −0.748860 | ||||||||
\(627\) | −2.09627 | − | 0.992431i | −0.0837168 | − | 0.0396339i | ||||
\(628\) | −13.8571 | −0.552958 | ||||||||
\(629\) | 3.98886 | − | 1.45182i | 0.159046 | − | 0.0578880i | ||||
\(630\) | −0.500000 | + | 2.83564i | −0.0199205 | + | 0.112975i | ||||
\(631\) | −8.84595 | + | 7.42264i | −0.352152 | + | 0.295490i | −0.801653 | − | 0.597789i | \(-0.796046\pi\) |
0.449502 | + | 0.893280i | \(0.351602\pi\) | |||||||
\(632\) | 1.12449 | + | 0.943555i | 0.0447296 | + | 0.0375326i | ||||
\(633\) | 0.741230 | + | 4.20372i | 0.0294612 | + | 0.167083i | ||||
\(634\) | 0.0701076 | + | 0.121430i | 0.00278433 | + | 0.00482260i | ||||
\(635\) | 2.35844 | − | 4.08494i | 0.0935919 | − | 0.162106i | ||||
\(636\) | 2.54576 | + | 0.926581i | 0.100946 | + | 0.0367413i | ||||
\(637\) | 4.70574 | + | 1.71275i | 0.186448 | + | 0.0678616i | ||||
\(638\) | 0.826352 | − | 1.43128i | 0.0327156 | − | 0.0566651i | ||||
\(639\) | −4.02481 | − | 6.97118i | −0.159219 | − | 0.275776i | ||||
\(640\) | −0.173648 | − | 0.984808i | −0.00686405 | − | 0.0389279i | ||||
\(641\) | 34.8594 | + | 29.2505i | 1.37686 | + | 1.15532i | 0.970357 | + | 0.241677i | \(0.0776973\pi\) |
0.406506 | + | 0.913648i | \(0.366747\pi\) | |||||||
\(642\) | 12.0398 | − | 10.1026i | 0.475174 | − | 0.398718i | ||||
\(643\) | 2.53895 | − | 14.3991i | 0.100127 | − | 0.567846i | −0.892929 | − | 0.450198i | \(-0.851353\pi\) |
0.993055 | − | 0.117648i | \(-0.0375354\pi\) | |||||||
\(644\) | −4.25877 | + | 1.55007i | −0.167819 | + | 0.0610811i | ||||
\(645\) | −0.977711 | −0.0384973 | ||||||||
\(646\) | −1.80722 | + | 2.54920i | −0.0711041 | + | 0.100297i | ||||
\(647\) | −29.6742 | −1.16661 | −0.583306 | − | 0.812252i | \(-0.698241\pi\) | ||||
−0.583306 | + | 0.812252i | \(0.698241\pi\) | |||||||
\(648\) | 0.939693 | − | 0.342020i | 0.0369146 | − | 0.0134358i | ||||
\(649\) | 0.709607 | − | 4.02438i | 0.0278545 | − | 0.157971i | ||||
\(650\) | 2.97178 | − | 2.49362i | 0.116563 | − | 0.0978079i | ||||
\(651\) | −10.6702 | − | 8.95340i | −0.418200 | − | 0.350911i | ||||
\(652\) | −2.36571 | − | 13.4166i | −0.0926485 | − | 0.525436i | ||||
\(653\) | 4.67230 | + | 8.09267i | 0.182841 | + | 0.316691i | 0.942847 | − | 0.333226i | \(-0.108137\pi\) |
−0.760006 | + | 0.649916i | \(0.774804\pi\) | |||||||
\(654\) | 6.77972 | − | 11.7428i | 0.265108 | − | 0.459180i | ||||
\(655\) | 2.22668 | + | 0.810446i | 0.0870036 | + | 0.0316667i | ||||
\(656\) | 3.71941 | + | 1.35375i | 0.145218 | + | 0.0528552i | ||||
\(657\) | 2.83022 | − | 4.90209i | 0.110417 | − | 0.191249i | ||||
\(658\) | −11.0890 | − | 19.2067i | −0.432294 | − | 0.748755i | ||||
\(659\) | 1.28787 | + | 7.30385i | 0.0501681 | + | 0.284518i | 0.999563 | − | 0.0295680i | \(-0.00941317\pi\) |
−0.949395 | + | 0.314086i | \(0.898302\pi\) | |||||||
\(660\) | −0.407604 | − | 0.342020i | −0.0158660 | − | 0.0133131i | ||||
\(661\) | 20.3648 | − | 17.0881i | 0.792100 | − | 0.664651i | −0.154164 | − | 0.988045i | \(-0.549268\pi\) |
0.946264 | + | 0.323394i | \(0.104824\pi\) | |||||||
\(662\) | 3.00387 | − | 17.0358i | 0.116749 | − | 0.662115i | ||||
\(663\) | 2.61334 | − | 0.951178i | 0.101494 | − | 0.0369407i | ||||
\(664\) | −3.71688 | −0.144243 | ||||||||
\(665\) | −1.02094 | − | 12.5094i | −0.0395905 | − | 0.485092i | ||||
\(666\) | 5.92127 | 0.229445 | ||||||||
\(667\) | 4.59405 | − | 1.67210i | 0.177882 | − | 0.0647438i | ||||
\(668\) | −2.02435 | + | 11.4806i | −0.0783244 | + | 0.444200i | ||||
\(669\) | −4.82816 | + | 4.05131i | −0.186668 | + | 0.156633i | ||||
\(670\) | 1.85844 | + | 1.55942i | 0.0717978 | + | 0.0602455i | ||||
\(671\) | 1.34936 | + | 7.65258i | 0.0520913 | + | 0.295424i | ||||
\(672\) | 1.43969 | + | 2.49362i | 0.0555373 | + | 0.0961935i | ||||
\(673\) | −17.3118 | + | 29.9849i | −0.667321 | + | 1.15583i | 0.311329 | + | 0.950302i | \(0.399226\pi\) |
−0.978650 | + | 0.205532i | \(0.934108\pi\) | |||||||
\(674\) | 31.9094 | + | 11.6141i | 1.22910 | + | 0.447358i | ||||
\(675\) | −0.939693 | − | 0.342020i | −0.0361688 | − | 0.0131644i | ||||
\(676\) | −1.02481 | + | 1.77503i | −0.0394160 | + | 0.0682704i | ||||
\(677\) | 3.22075 | + | 5.57851i | 0.123784 | + | 0.214399i | 0.921257 | − | 0.388955i | \(-0.127164\pi\) |
−0.797473 | + | 0.603354i | \(0.793830\pi\) | |||||||
\(678\) | −3.24123 | − | 18.3819i | −0.124479 | − | 0.705954i | ||||
\(679\) | 29.2408 | + | 24.5360i | 1.12216 | + | 0.941604i | ||||
\(680\) | −0.549163 | + | 0.460802i | −0.0210594 | + | 0.0176710i | ||||
\(681\) | 3.85726 | − | 21.8756i | 0.147810 | − | 0.838275i | ||||
\(682\) | 2.41875 | − | 0.880352i | 0.0926187 | − | 0.0337104i | ||||
\(683\) | −11.9240 | −0.456258 | −0.228129 | − | 0.973631i | \(-0.573261\pi\) | ||||
−0.228129 | + | 0.973631i | \(0.573261\pi\) | |||||||
\(684\) | −3.58512 | + | 2.47929i | −0.137081 | + | 0.0947982i | ||||
\(685\) | −1.24897 | −0.0477207 | ||||||||
\(686\) | −15.4474 | + | 5.62241i | −0.589786 | + | 0.214664i | ||||
\(687\) | −2.52347 | + | 14.3113i | −0.0962764 | + | 0.546011i | ||||
\(688\) | −0.748970 | + | 0.628461i | −0.0285542 | + | 0.0239598i | ||||
\(689\) | 8.05097 | + | 6.75557i | 0.306718 | + | 0.257367i | ||||
\(690\) | −0.273318 | − | 1.55007i | −0.0104051 | − | 0.0590100i | ||||
\(691\) | −23.8282 | − | 41.2716i | −0.906466 | − | 1.57005i | −0.818937 | − | 0.573883i | \(-0.805436\pi\) |
−0.0875289 | − | 0.996162i | \(-0.527897\pi\) | |||||||
\(692\) | 3.01842 | − | 5.22805i | 0.114743 | − | 0.198741i | ||||
\(693\) | 1.43969 | + | 0.524005i | 0.0546894 | + | 0.0199053i | ||||
\(694\) | −12.5128 | − | 4.55428i | −0.474979 | − | 0.172878i | ||||
\(695\) | −4.39053 | + | 7.60462i | −0.166542 | + | 0.288460i | ||||
\(696\) | −1.55303 | − | 2.68993i | −0.0588676 | − | 0.101962i | ||||
\(697\) | −0.492726 | − | 2.79439i | −0.0186633 | − | 0.105845i | ||||
\(698\) | −4.03802 | − | 3.38830i | −0.152841 | − | 0.128249i | ||||
\(699\) | −8.73648 | + | 7.33078i | −0.330444 | + | 0.277276i | ||||
\(700\) | 0.500000 | − | 2.83564i | 0.0188982 | − | 0.107177i | ||||
\(701\) | 20.1074 | − | 7.31850i | 0.759446 | − | 0.276416i | 0.0668713 | − | 0.997762i | \(-0.478698\pi\) |
0.692575 | + | 0.721346i | \(0.256476\pi\) | |||||||
\(702\) | 3.87939 | 0.146418 | ||||||||
\(703\) | −24.9693 | + | 6.53466i | −0.941735 | + | 0.246459i | ||||
\(704\) | −0.532089 | −0.0200539 | ||||||||
\(705\) | 7.23783 | − | 2.63435i | 0.272592 | − | 0.0992155i | ||||
\(706\) | −5.87939 | + | 33.3437i | −0.221274 | + | 1.25490i | ||||
\(707\) | 32.4786 | − | 27.2528i | 1.22149 | − | 1.02495i | ||||
\(708\) | −5.88326 | − | 4.93664i | −0.221106 | − | 0.185530i | ||||
\(709\) | −6.72668 | − | 38.1489i | −0.252626 | − | 1.43271i | −0.802094 | − | 0.597198i | \(-0.796281\pi\) |
0.549468 | − | 0.835515i | \(-0.314830\pi\) | |||||||
\(710\) | 4.02481 | + | 6.97118i | 0.151049 | + | 0.261624i | ||||
\(711\) | 0.733956 | − | 1.27125i | 0.0275255 | − | 0.0476755i | ||||
\(712\) | −14.5287 | − | 5.28801i | −0.544486 | − | 0.198177i | ||||
\(713\) | 7.15493 | + | 2.60418i | 0.267954 | + | 0.0975273i | ||||
\(714\) | 1.03209 | − | 1.78763i | 0.0386250 | − | 0.0669004i | ||||
\(715\) | −1.03209 | − | 1.78763i | −0.0385979 | − | 0.0668536i | ||||
\(716\) | 0.212134 | + | 1.20307i | 0.00792781 | + | 0.0449608i | ||||
\(717\) | 8.87804 | + | 7.44956i | 0.331557 | + | 0.278209i | ||||
\(718\) | −24.1578 | + | 20.2708i | −0.901559 | + | 0.756498i | ||||
\(719\) | −8.19506 | + | 46.4765i | −0.305624 | + | 1.73328i | 0.314928 | + | 0.949116i | \(0.398020\pi\) |
−0.620552 | + | 0.784165i | \(0.713092\pi\) | |||||||
\(720\) | −0.939693 | + | 0.342020i | −0.0350203 | + | 0.0127463i | ||||
\(721\) | −30.9145 | −1.15131 | ||||||||
\(722\) | 12.3819 | − | 14.4114i | 0.460807 | − | 0.536337i | ||||
\(723\) | −15.2463 | −0.567015 | ||||||||
\(724\) | −16.9217 | + | 6.15901i | −0.628892 | + | 0.228898i | ||||
\(725\) | −0.539363 | + | 3.05888i | −0.0200314 | + | 0.113604i | ||||
\(726\) | 8.20961 | − | 6.88868i | 0.304687 | − | 0.255663i | ||||
\(727\) | −34.5979 | − | 29.0311i | −1.28317 | − | 1.07670i | −0.992799 | − | 0.119788i | \(-0.961778\pi\) |
−0.290366 | − | 0.956916i | \(-0.593777\pi\) | |||||||
\(728\) | 1.93969 | + | 11.0005i | 0.0718898 | + | 0.407707i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −2.83022 | + | 4.90209i | −0.104751 | + | 0.181434i | ||||
\(731\) | 0.658633 | + | 0.239723i | 0.0243604 | + | 0.00886647i | ||||
\(732\) | 13.7233 | + | 4.99486i | 0.507227 | + | 0.184616i | ||||
\(733\) | 6.54710 | − | 11.3399i | 0.241823 | − | 0.418849i | −0.719411 | − | 0.694585i | \(-0.755588\pi\) |
0.961234 | + | 0.275736i | \(0.0889214\pi\) | |||||||
\(734\) | −5.47818 | − | 9.48848i | −0.202203 | − | 0.350226i | ||||
\(735\) | 0.224155 | + | 1.27125i | 0.00826810 | + | 0.0468907i | ||||
\(736\) | −1.20574 | − | 1.01173i | −0.0444441 | − | 0.0372930i | ||||
\(737\) | 0.988856 | − | 0.829748i | 0.0364250 | − | 0.0305642i | ||||
\(738\) | 0.687319 | − | 3.89798i | 0.0253006 | − | 0.143487i | ||||
\(739\) | 41.7845 | − | 15.2083i | 1.53707 | − | 0.559447i | 0.571728 | − | 0.820443i | \(-0.306273\pi\) |
0.965340 | + | 0.260996i | \(0.0840509\pi\) | |||||||
\(740\) | −5.92127 | −0.217670 | ||||||||
\(741\) | −16.3589 | + | 4.28125i | −0.600959 | + | 0.157276i | ||||
\(742\) | 7.80066 | 0.286371 | ||||||||
\(743\) | 2.96229 | − | 1.07818i | 0.108676 | − | 0.0395547i | −0.287110 | − | 0.957898i | \(-0.592695\pi\) |
0.395786 | + | 0.918343i | \(0.370472\pi\) | |||||||
\(744\) | 0.840022 | − | 4.76400i | 0.0307967 | − | 0.174657i | ||||
\(745\) | 5.13950 | − | 4.31255i | 0.188297 | − | 0.158000i | ||||
\(746\) | 3.16978 | + | 2.65976i | 0.116054 | + | 0.0973807i | ||||
\(747\) | 0.645430 | + | 3.66041i | 0.0236150 | + | 0.133928i | ||||
\(748\) | 0.190722 | + | 0.330341i | 0.00697350 | + | 0.0120785i | ||||
\(749\) | 22.6275 | − | 39.1919i | 0.826790 | − | 1.43204i | ||||
\(750\) | 0.939693 | + | 0.342020i | 0.0343127 | + | 0.0124888i | ||||
\(751\) | −3.36571 | − | 1.22502i | −0.122817 | − | 0.0447016i | 0.279881 | − | 0.960035i | \(-0.409705\pi\) |
−0.402697 | + | 0.915333i | \(0.631927\pi\) | |||||||
\(752\) | 3.85117 | − | 6.67042i | 0.140438 | − | 0.243245i | ||||
\(753\) | 5.92649 | + | 10.2650i | 0.215973 | + | 0.374077i | ||||
\(754\) | −2.09240 | − | 11.8666i | −0.0762006 | − | 0.432155i | ||||
\(755\) | −14.7404 | − | 12.3686i | −0.536456 | − | 0.450140i | ||||
\(756\) | 2.20574 | − | 1.85083i | 0.0802219 | − | 0.0673142i | ||||
\(757\) | −3.30390 | + | 18.7374i | −0.120082 | + | 0.681021i | 0.864025 | + | 0.503448i | \(0.167936\pi\) |
−0.984108 | + | 0.177572i | \(0.943176\pi\) | |||||||
\(758\) | 31.8209 | − | 11.5819i | 1.15579 | − | 0.420672i | ||||
\(759\) | −0.837496 | −0.0303992 | ||||||||
\(760\) | 3.58512 | − | 2.47929i | 0.130046 | − | 0.0899334i | ||||
\(761\) | −1.87527 | −0.0679784 | −0.0339892 | − | 0.999422i | \(-0.510821\pi\) | ||||
−0.0339892 | + | 0.999422i | \(0.510821\pi\) | |||||||
\(762\) | −4.43242 | + | 1.61327i | −0.160570 | + | 0.0584426i | ||||
\(763\) | 6.77972 | − | 38.4497i | 0.245442 | − | 1.39197i | ||||
\(764\) | −1.29813 | + | 1.08926i | −0.0469648 | + | 0.0394082i | ||||
\(765\) | 0.549163 | + | 0.460802i | 0.0198550 | + | 0.0166603i | ||||
\(766\) | −3.36366 | − | 19.0762i | −0.121534 | − | 0.689252i | ||||
\(767\) | −14.8969 | − | 25.8022i | −0.537897 | − | 0. |