Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 214.3 | ||
Root | \(0.247934 - 0.429435i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.214 |
Dual form | 441.2.h.f.373.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.495868 | −0.350632 | −0.175316 | − | 0.984512i | \(-0.556095\pi\) | ||||
−0.175316 | + | 0.984512i | \(0.556095\pi\) | |||||||
\(3\) | 0.221298 | + | 1.71786i | 0.127767 | + | 0.991804i | ||||
\(4\) | −1.75411 | −0.877057 | ||||||||
\(5\) | −1.84629 | + | 3.19787i | −0.825686 | + | 1.43013i | 0.0757082 | + | 0.997130i | \(0.475878\pi\) |
−0.901394 | + | 0.433000i | \(0.857455\pi\) | |||||||
\(6\) | −0.109735 | − | 0.851830i | −0.0447990 | − | 0.347758i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.86155 | 0.658156 | ||||||||
\(9\) | −2.90205 | + | 0.760316i | −0.967351 | + | 0.253439i | ||||
\(10\) | 0.915516 | − | 1.58572i | 0.289512 | − | 0.501449i | ||||
\(11\) | 0.446284 | + | 0.772987i | 0.134560 | + | 0.233064i | 0.925429 | − | 0.378921i | \(-0.123705\pi\) |
−0.790869 | + | 0.611985i | \(0.790371\pi\) | |||||||
\(12\) | −0.388182 | − | 3.01332i | −0.112059 | − | 0.869869i | ||||
\(13\) | −0.598355 | − | 1.03638i | −0.165954 | − | 0.287441i | 0.771040 | − | 0.636787i | \(-0.219737\pi\) |
−0.936994 | + | 0.349346i | \(0.886404\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.90205 | − | 2.46398i | −1.52390 | − | 0.636196i | ||||
\(16\) | 2.58515 | 0.646287 | ||||||||
\(17\) | 0.124991 | − | 0.216492i | 0.0303149 | − | 0.0525069i | −0.850470 | − | 0.526024i | \(-0.823682\pi\) |
0.880785 | + | 0.473517i | \(0.157016\pi\) | |||||||
\(18\) | 1.43904 | − | 0.377017i | 0.339184 | − | 0.0888637i | ||||
\(19\) | −1.40414 | − | 2.43204i | −0.322131 | − | 0.557948i | 0.658796 | − | 0.752321i | \(-0.271066\pi\) |
−0.980928 | + | 0.194374i | \(0.937733\pi\) | |||||||
\(20\) | 3.23860 | − | 5.60943i | 0.724174 | − | 1.25431i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.221298 | − | 0.383300i | −0.0471809 | − | 0.0817198i | ||||
\(23\) | −1.23886 | + | 2.14576i | −0.258320 | + | 0.447423i | −0.965792 | − | 0.259318i | \(-0.916502\pi\) |
0.707472 | + | 0.706741i | \(0.249835\pi\) | |||||||
\(24\) | 0.411957 | + | 3.19787i | 0.0840903 | + | 0.652762i | ||||
\(25\) | −4.31757 | − | 7.47825i | −0.863514 | − | 1.49565i | ||||
\(26\) | 0.296705 | + | 0.513909i | 0.0581887 | + | 0.100786i | ||||
\(27\) | −1.94833 | − | 4.81705i | −0.374957 | − | 0.927042i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.07128 | − | 3.58755i | 0.384626 | − | 0.666192i | −0.607091 | − | 0.794632i | \(-0.707664\pi\) |
0.991717 | + | 0.128440i | \(0.0409970\pi\) | |||||||
\(30\) | 2.92664 | + | 1.22181i | 0.534329 | + | 0.223071i | ||||
\(31\) | −3.58515 | −0.643912 | −0.321956 | − | 0.946755i | \(-0.604340\pi\) | ||||
−0.321956 | + | 0.946755i | \(0.604340\pi\) | |||||||
\(32\) | −5.00499 | −0.884765 | ||||||||
\(33\) | −1.22912 | + | 0.937712i | −0.213962 | + | 0.163235i | ||||
\(34\) | −0.0619793 | + | 0.107351i | −0.0106294 | + | 0.0184106i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.09054 | − | 1.33368i | 0.848423 | − | 0.222280i | ||||
\(37\) | −2.36568 | − | 4.09747i | −0.388915 | − | 0.673621i | 0.603389 | − | 0.797447i | \(-0.293817\pi\) |
−0.992304 | + | 0.123826i | \(0.960483\pi\) | |||||||
\(38\) | 0.696267 | + | 1.20597i | 0.112949 | + | 0.195634i | ||||
\(39\) | 1.64794 | − | 1.25724i | 0.263882 | − | 0.201319i | ||||
\(40\) | −3.43695 | + | 5.95298i | −0.543430 | + | 0.941249i | ||||
\(41\) | 2.39093 | + | 4.14121i | 0.373400 | + | 0.646748i | 0.990086 | − | 0.140461i | \(-0.0448584\pi\) |
−0.616686 | + | 0.787209i | \(0.711525\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.98928 | + | 8.64169i | −0.760859 | + | 1.31785i | 0.181550 | + | 0.983382i | \(0.441889\pi\) |
−0.942408 | + | 0.334464i | \(0.891445\pi\) | |||||||
\(44\) | −0.782834 | − | 1.35591i | −0.118017 | − | 0.204411i | ||||
\(45\) | 2.92664 | − | 10.6841i | 0.436278 | − | 1.59270i | ||||
\(46\) | 0.614310 | − | 1.06402i | 0.0905751 | − | 0.156881i | ||||
\(47\) | 10.1731 | 1.48389 | 0.741947 | − | 0.670459i | \(-0.233903\pi\) | ||||
0.741947 | + | 0.670459i | \(0.233903\pi\) | |||||||
\(48\) | 0.572088 | + | 4.44091i | 0.0825738 | + | 0.640990i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.14095 | + | 3.70823i | 0.302776 | + | 0.524423i | ||||
\(51\) | 0.399562 | + | 0.166808i | 0.0559498 | + | 0.0233578i | ||||
\(52\) | 1.04958 | + | 1.81793i | 0.145551 | + | 0.252102i | ||||
\(53\) | −4.94465 | + | 8.56438i | −0.679199 | + | 1.17641i | 0.296023 | + | 0.955181i | \(0.404339\pi\) |
−0.975222 | + | 0.221227i | \(0.928994\pi\) | |||||||
\(54\) | 0.966116 | + | 2.38862i | 0.131472 | + | 0.325051i | ||||
\(55\) | −3.29588 | −0.444416 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.86715 | − | 2.95031i | 0.512217 | − | 0.390778i | ||||
\(58\) | −1.02708 | + | 1.77895i | −0.134862 | + | 0.233588i | ||||
\(59\) | −1.81237 | −0.235951 | −0.117975 | − | 0.993017i | \(-0.537640\pi\) | ||||
−0.117975 | + | 0.993017i | \(0.537640\pi\) | |||||||
\(60\) | 10.3529 | + | 4.32210i | 1.33655 | + | 0.557980i | ||||
\(61\) | −10.8041 | −1.38332 | −0.691662 | − | 0.722221i | \(-0.743121\pi\) | ||||
−0.691662 | + | 0.722221i | \(0.743121\pi\) | |||||||
\(62\) | 1.77776 | 0.225776 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.68848 | −0.336060 | ||||||||
\(65\) | 4.41895 | 0.548103 | ||||||||
\(66\) | 0.609480 | − | 0.464982i | 0.0750219 | − | 0.0572353i | ||||
\(67\) | 1.02937 | 0.125757 | 0.0628787 | − | 0.998021i | \(-0.479972\pi\) | ||||
0.0628787 | + | 0.998021i | \(0.479972\pi\) | |||||||
\(68\) | −0.219249 | + | 0.379751i | −0.0265879 | + | 0.0460516i | ||||
\(69\) | −3.96027 | − | 1.65332i | −0.476761 | − | 0.199037i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.94533 | −0.586903 | −0.293451 | − | 0.955974i | \(-0.594804\pi\) | ||||
−0.293451 | + | 0.955974i | \(0.594804\pi\) | |||||||
\(72\) | −5.40231 | + | 1.41536i | −0.636668 | + | 0.166802i | ||||
\(73\) | 0.915262 | − | 1.58528i | 0.107123 | − | 0.185543i | −0.807480 | − | 0.589894i | \(-0.799169\pi\) |
0.914604 | + | 0.404351i | \(0.132503\pi\) | |||||||
\(74\) | 1.17306 | + | 2.03181i | 0.136366 | + | 0.236193i | ||||
\(75\) | 11.8911 | − | 9.07189i | 1.37306 | − | 1.04753i | ||||
\(76\) | 2.46302 | + | 4.26607i | 0.282527 | + | 0.489352i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.817161 | + | 0.623424i | −0.0925253 | + | 0.0705889i | ||||
\(79\) | −1.79912 | −0.202417 | −0.101209 | − | 0.994865i | \(-0.532271\pi\) | ||||
−0.101209 | + | 0.994865i | \(0.532271\pi\) | |||||||
\(80\) | −4.77293 | + | 8.26696i | −0.533630 | + | 0.924274i | ||||
\(81\) | 7.84384 | − | 4.41296i | 0.871538 | − | 0.490329i | ||||
\(82\) | −1.18559 | − | 2.05350i | −0.130926 | − | 0.226771i | ||||
\(83\) | −6.16156 | + | 10.6721i | −0.676319 | + | 1.17142i | 0.299763 | + | 0.954014i | \(0.403092\pi\) |
−0.976082 | + | 0.217405i | \(0.930241\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.461541 | + | 0.799412i | 0.0500611 | + | 0.0867084i | ||||
\(86\) | 2.47403 | − | 4.28514i | 0.266781 | − | 0.462079i | ||||
\(87\) | 6.62127 | + | 2.76423i | 0.709875 | + | 0.296357i | ||||
\(88\) | 0.830779 | + | 1.43895i | 0.0885613 | + | 0.153393i | ||||
\(89\) | 1.20370 | + | 2.08488i | 0.127592 | + | 0.220997i | 0.922743 | − | 0.385415i | \(-0.125942\pi\) |
−0.795151 | + | 0.606412i | \(0.792608\pi\) | |||||||
\(90\) | −1.45123 | + | 5.29793i | −0.152973 | + | 0.558451i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.17310 | − | 3.76392i | 0.226561 | − | 0.392416i | ||||
\(93\) | −0.793387 | − | 6.15877i | −0.0822704 | − | 0.638634i | ||||
\(94\) | −5.04450 | −0.520300 | ||||||||
\(95\) | 10.3698 | 1.06392 | ||||||||
\(96\) | −1.10759 | − | 8.59784i | −0.113043 | − | 0.877513i | ||||
\(97\) | −5.52210 | + | 9.56456i | −0.560684 | + | 0.971134i | 0.436752 | + | 0.899582i | \(0.356129\pi\) |
−0.997437 | + | 0.0715522i | \(0.977205\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.88286 | − | 1.90393i | −0.189234 | − | 0.191352i | ||||
\(100\) | 7.57351 | + | 13.1177i | 0.757351 | + | 1.31177i | ||||
\(101\) | −1.29982 | − | 2.25136i | −0.129337 | − | 0.224018i | 0.794083 | − | 0.607810i | \(-0.207952\pi\) |
−0.923420 | + | 0.383791i | \(0.874618\pi\) | |||||||
\(102\) | −0.198130 | − | 0.0827148i | −0.0196178 | − | 0.00818999i | ||||
\(103\) | 4.85578 | − | 8.41045i | 0.478454 | − | 0.828706i | −0.521241 | − | 0.853409i | \(-0.674531\pi\) |
0.999695 | + | 0.0247032i | \(0.00786408\pi\) | |||||||
\(104\) | −1.11387 | − | 1.92927i | −0.109224 | − | 0.189181i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.45189 | − | 4.24680i | 0.238149 | − | 0.412486i | ||||
\(107\) | −5.45025 | − | 9.44012i | −0.526896 | − | 0.912610i | −0.999509 | − | 0.0313403i | \(-0.990022\pi\) |
0.472613 | − | 0.881270i | \(-0.343311\pi\) | |||||||
\(108\) | 3.41760 | + | 8.44966i | 0.328859 | + | 0.813069i | ||||
\(109\) | −1.06096 | + | 1.83764i | −0.101622 | + | 0.176014i | −0.912353 | − | 0.409404i | \(-0.865737\pi\) |
0.810731 | + | 0.585419i | \(0.199070\pi\) | |||||||
\(110\) | 1.63432 | 0.155826 | ||||||||
\(111\) | 6.51535 | − | 4.97066i | 0.618410 | − | 0.471794i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.91318 | + | 13.7060i | 0.744409 | + | 1.28935i | 0.950470 | + | 0.310816i | \(0.100602\pi\) |
−0.206061 | + | 0.978539i | \(0.566065\pi\) | |||||||
\(114\) | −1.91760 | + | 1.46297i | −0.179600 | + | 0.137019i | ||||
\(115\) | −4.57458 | − | 7.92341i | −0.426582 | − | 0.738861i | ||||
\(116\) | −3.63325 | + | 6.29298i | −0.337339 | + | 0.584289i | ||||
\(117\) | 2.52444 | + | 2.55270i | 0.233384 | + | 0.235997i | ||||
\(118\) | 0.898698 | 0.0827318 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −10.9869 | − | 4.58681i | −1.00297 | − | 0.418716i | ||||
\(121\) | 5.10166 | − | 8.83634i | 0.463787 | − | 0.803303i | ||||
\(122\) | 5.35741 | 0.485038 | ||||||||
\(123\) | −6.58489 | + | 5.02371i | −0.593740 | + | 0.452973i | ||||
\(124\) | 6.28876 | 0.564747 | ||||||||
\(125\) | 13.4230 | 1.20059 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.26946 | −0.112647 | −0.0563233 | − | 0.998413i | \(-0.517938\pi\) | ||||
−0.0563233 | + | 0.998413i | \(0.517938\pi\) | |||||||
\(128\) | 11.3431 | 1.00260 | ||||||||
\(129\) | −15.9493 | − | 6.65848i | −1.40426 | − | 0.586246i | ||||
\(130\) | −2.19122 | −0.192182 | ||||||||
\(131\) | −7.51444 | + | 13.0154i | −0.656540 | + | 1.13716i | 0.324965 | + | 0.945726i | \(0.394647\pi\) |
−0.981505 | + | 0.191435i | \(0.938686\pi\) | |||||||
\(132\) | 2.15601 | − | 1.64485i | 0.187657 | − | 0.143166i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.510432 | −0.0440946 | ||||||||
\(135\) | 19.0015 | + | 2.66316i | 1.63539 | + | 0.229209i | ||||
\(136\) | 0.232677 | − | 0.403009i | 0.0199519 | − | 0.0345577i | ||||
\(137\) | 0.244246 | + | 0.423047i | 0.0208674 | + | 0.0361433i | 0.876271 | − | 0.481819i | \(-0.160024\pi\) |
−0.855403 | + | 0.517963i | \(0.826691\pi\) | |||||||
\(138\) | 1.96377 | + | 0.819831i | 0.167167 | + | 0.0697887i | ||||
\(139\) | 4.93487 | + | 8.54745i | 0.418570 | + | 0.724985i | 0.995796 | − | 0.0915997i | \(-0.0291980\pi\) |
−0.577226 | + | 0.816585i | \(0.695865\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.25128 | + | 17.4759i | 0.189592 | + | 1.47173i | ||||
\(142\) | 2.45223 | 0.205787 | ||||||||
\(143\) | 0.534073 | − | 0.925042i | 0.0446614 | − | 0.0773559i | ||||
\(144\) | −7.50224 | + | 1.96553i | −0.625187 | + | 0.163794i | ||||
\(145\) | 7.64835 | + | 13.2473i | 0.635161 | + | 1.10013i | ||||
\(146\) | −0.453849 | + | 0.786090i | −0.0375609 | + | 0.0650573i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.14967 | + | 7.18744i | 0.341101 | + | 0.590804i | ||||
\(149\) | −10.5120 | + | 18.2073i | −0.861175 | + | 1.49160i | 0.00962096 | + | 0.999954i | \(0.496938\pi\) |
−0.870796 | + | 0.491645i | \(0.836396\pi\) | |||||||
\(150\) | −5.89641 | + | 4.49846i | −0.481440 | + | 0.367298i | ||||
\(151\) | −0.749191 | − | 1.29764i | −0.0609683 | − | 0.105600i | 0.833930 | − | 0.551870i | \(-0.186086\pi\) |
−0.894898 | + | 0.446270i | \(0.852752\pi\) | |||||||
\(152\) | −2.61387 | − | 4.52735i | −0.212013 | − | 0.367217i | ||||
\(153\) | −0.198130 | + | 0.723303i | −0.0160179 | + | 0.0584756i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.61922 | − | 11.4648i | 0.531669 | − | 0.920877i | ||||
\(156\) | −2.89068 | + | 2.20534i | −0.231439 | + | 0.176568i | ||||
\(157\) | 16.6796 | 1.33118 | 0.665590 | − | 0.746317i | \(-0.268180\pi\) | ||||
0.665590 | + | 0.746317i | \(0.268180\pi\) | |||||||
\(158\) | 0.892128 | 0.0709739 | ||||||||
\(159\) | −15.8066 | − | 6.59890i | −1.25355 | − | 0.523327i | ||||
\(160\) | 9.24065 | − | 16.0053i | 0.730538 | − | 1.26533i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.88951 | + | 2.18825i | −0.305589 | + | 0.171925i | ||||
\(163\) | −3.34135 | − | 5.78738i | −0.261714 | − | 0.453303i | 0.704983 | − | 0.709224i | \(-0.250954\pi\) |
−0.966698 | + | 0.255921i | \(0.917621\pi\) | |||||||
\(164\) | −4.19396 | − | 7.26416i | −0.327494 | − | 0.567236i | ||||
\(165\) | −0.729372 | − | 5.66184i | −0.0567815 | − | 0.440774i | ||||
\(166\) | 3.05532 | − | 5.29197i | 0.237139 | − | 0.410737i | ||||
\(167\) | −8.81549 | − | 15.2689i | −0.682163 | − | 1.18154i | −0.974319 | − | 0.225170i | \(-0.927706\pi\) |
0.292156 | − | 0.956371i | \(-0.405627\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.78394 | − | 10.0181i | 0.444919 | − | 0.770622i | ||||
\(170\) | −0.228863 | − | 0.396403i | −0.0175530 | − | 0.0304027i | ||||
\(171\) | 5.92400 | + | 5.99031i | 0.453020 | + | 0.458091i | ||||
\(172\) | 8.75178 | − | 15.1585i | 0.667317 | − | 1.15583i | ||||
\(173\) | 3.88685 | 0.295511 | 0.147756 | − | 0.989024i | \(-0.452795\pi\) | ||||
0.147756 | + | 0.989024i | \(0.452795\pi\) | |||||||
\(174\) | −3.28328 | − | 1.37070i | −0.248905 | − | 0.103912i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.15371 | + | 1.99829i | 0.0869642 | + | 0.150626i | ||||
\(177\) | −0.401075 | − | 3.11339i | −0.0301466 | − | 0.234017i | ||||
\(178\) | −0.596879 | − | 1.03382i | −0.0447380 | − | 0.0774884i | ||||
\(179\) | 3.66758 | − | 6.35244i | 0.274128 | − | 0.474804i | −0.695787 | − | 0.718248i | \(-0.744944\pi\) |
0.969915 | + | 0.243445i | \(0.0782775\pi\) | |||||||
\(180\) | −5.13366 | + | 18.7412i | −0.382641 | + | 1.39689i | ||||
\(181\) | −11.2566 | −0.836693 | −0.418346 | − | 0.908288i | \(-0.637390\pi\) | ||||
−0.418346 | + | 0.908288i | \(0.637390\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.39093 | − | 18.5599i | −0.176743 | − | 1.37199i | ||||
\(184\) | −2.30619 | + | 3.99444i | −0.170015 | + | 0.294474i | ||||
\(185\) | 17.4709 | 1.28449 | ||||||||
\(186\) | 0.393415 | + | 3.05394i | 0.0288466 | + | 0.223925i | ||||
\(187\) | 0.223127 | 0.0163167 | ||||||||
\(188\) | −17.8447 | −1.30146 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.14204 | −0.373043 | ||||||||
\(191\) | −23.8459 | −1.72543 | −0.862715 | − | 0.505690i | \(-0.831238\pi\) | ||||
−0.862715 | + | 0.505690i | \(0.831238\pi\) | |||||||
\(192\) | −0.594956 | − | 4.61842i | −0.0429373 | − | 0.333306i | ||||
\(193\) | 5.93456 | 0.427179 | 0.213589 | − | 0.976924i | \(-0.431485\pi\) | ||||
0.213589 | + | 0.976924i | \(0.431485\pi\) | |||||||
\(194\) | 2.73823 | − | 4.74276i | 0.196594 | − | 0.340510i | ||||
\(195\) | 0.977905 | + | 7.59112i | 0.0700293 | + | 0.543611i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −15.4682 | −1.10206 | −0.551032 | − | 0.834484i | \(-0.685766\pi\) | ||||
−0.551032 | + | 0.834484i | \(0.685766\pi\) | |||||||
\(198\) | 0.933648 | + | 0.944100i | 0.0663515 | + | 0.0670942i | ||||
\(199\) | −7.74818 | + | 13.4202i | −0.549254 | + | 0.951336i | 0.449072 | + | 0.893496i | \(0.351755\pi\) |
−0.998326 | + | 0.0578402i | \(0.981579\pi\) | |||||||
\(200\) | −8.03736 | − | 13.9211i | −0.568327 | − | 0.984371i | ||||
\(201\) | 0.227798 | + | 1.76831i | 0.0160676 | + | 0.124727i | ||||
\(202\) | 0.644540 | + | 1.11638i | 0.0453497 | + | 0.0785480i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.700877 | − | 0.292600i | −0.0490712 | − | 0.0204861i | ||||
\(205\) | −17.6574 | −1.23325 | ||||||||
\(206\) | −2.40783 | + | 4.17048i | −0.167761 | + | 0.290571i | ||||
\(207\) | 1.96377 | − | 7.16905i | 0.136492 | − | 0.498283i | ||||
\(208\) | −1.54684 | − | 2.67920i | −0.107254 | − | 0.185769i | ||||
\(209\) | 1.25329 | − | 2.17076i | 0.0866918 | − | 0.150155i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.771898 | + | 1.33697i | 0.0531397 | + | 0.0920406i | 0.891372 | − | 0.453273i | \(-0.149744\pi\) |
−0.838232 | + | 0.545314i | \(0.816410\pi\) | |||||||
\(212\) | 8.67347 | − | 15.0229i | 0.595697 | − | 1.03178i | ||||
\(213\) | −1.09439 | − | 8.49536i | −0.0749866 | − | 0.582093i | ||||
\(214\) | 2.70261 | + | 4.68105i | 0.184746 | + | 0.319990i | ||||
\(215\) | −18.4233 | − | 31.9101i | −1.25646 | − | 2.17625i | ||||
\(216\) | −3.62691 | − | 8.96717i | −0.246780 | − | 0.610138i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.526098 | − | 0.911229i | 0.0356319 | − | 0.0617162i | ||||
\(219\) | 2.92583 | + | 1.22147i | 0.197709 | + | 0.0825392i | ||||
\(220\) | 5.78135 | 0.389779 | ||||||||
\(221\) | −0.299157 | −0.0201235 | ||||||||
\(222\) | −3.23075 | + | 2.46479i | −0.216834 | + | 0.165426i | ||||
\(223\) | 2.72171 | − | 4.71414i | 0.182259 | − | 0.315682i | −0.760390 | − | 0.649466i | \(-0.774992\pi\) |
0.942649 | + | 0.333784i | \(0.108326\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.2157 | + | 18.4196i | 1.21438 | + | 1.22797i | ||||
\(226\) | −3.92389 | − | 6.79638i | −0.261014 | − | 0.452089i | ||||
\(227\) | −8.03818 | − | 13.9225i | −0.533513 | − | 0.924072i | −0.999234 | − | 0.0391399i | \(-0.987538\pi\) |
0.465721 | − | 0.884932i | \(-0.345795\pi\) | |||||||
\(228\) | −6.78343 | + | 5.17518i | −0.449244 | + | 0.342735i | ||||
\(229\) | −4.98420 | + | 8.63289i | −0.329365 | + | 0.570477i | −0.982386 | − | 0.186863i | \(-0.940168\pi\) |
0.653021 | + | 0.757340i | \(0.273501\pi\) | |||||||
\(230\) | 2.26839 | + | 3.92897i | 0.149573 | + | 0.259068i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.85578 | − | 6.67840i | 0.253144 | − | 0.438458i | ||||
\(233\) | 8.27045 | + | 14.3248i | 0.541815 | + | 0.938451i | 0.998800 | + | 0.0489765i | \(0.0155959\pi\) |
−0.456985 | + | 0.889474i | \(0.651071\pi\) | |||||||
\(234\) | −1.25179 | − | 1.26580i | −0.0818320 | − | 0.0827480i | ||||
\(235\) | −18.7824 | + | 32.5321i | −1.22523 | + | 2.12216i | ||||
\(236\) | 3.17911 | 0.206942 | ||||||||
\(237\) | −0.398143 | − | 3.09063i | −0.0258621 | − | 0.200758i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.0119 | − | 19.0732i | −0.712303 | − | 1.23375i | −0.963990 | − | 0.265937i | \(-0.914319\pi\) |
0.251687 | − | 0.967809i | \(-0.419015\pi\) | |||||||
\(240\) | −15.2577 | − | 6.36974i | −0.984879 | − | 0.411165i | ||||
\(241\) | 8.36004 | + | 14.4800i | 0.538517 | + | 0.932739i | 0.998984 | + | 0.0450623i | \(0.0143486\pi\) |
−0.460467 | + | 0.887677i | \(0.652318\pi\) | |||||||
\(242\) | −2.52975 | + | 4.38166i | −0.162619 | + | 0.281664i | ||||
\(243\) | 9.31665 | + | 12.4980i | 0.597664 | + | 0.801747i | ||||
\(244\) | 18.9516 | 1.21325 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.26524 | − | 2.49110i | 0.208184 | − | 0.158827i | ||||
\(247\) | −1.68035 | + | 2.91045i | −0.106918 | + | 0.185187i | ||||
\(248\) | −6.67392 | −0.423794 | ||||||||
\(249\) | −19.6967 | − | 8.22294i | −1.24823 | − | 0.521108i | ||||
\(250\) | −6.65606 | −0.420966 | ||||||||
\(251\) | 8.53099 | 0.538471 | 0.269236 | − | 0.963074i | \(-0.413229\pi\) | ||||
0.269236 | + | 0.963074i | \(0.413229\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.21153 | −0.139038 | ||||||||
\(254\) | 0.629487 | 0.0394975 | ||||||||
\(255\) | −1.27114 | + | 0.969769i | −0.0796017 | + | 0.0607293i | ||||
\(256\) | −0.247722 | −0.0154826 | ||||||||
\(257\) | −8.55986 | + | 14.8261i | −0.533950 | + | 0.924828i | 0.465264 | + | 0.885172i | \(0.345959\pi\) |
−0.999213 | + | 0.0396557i | \(0.987374\pi\) | |||||||
\(258\) | 7.90875 | + | 3.30173i | 0.492377 | + | 0.205557i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.75135 | −0.480718 | ||||||||
\(261\) | −3.28328 | + | 11.9861i | −0.203230 | + | 0.741921i | ||||
\(262\) | 3.72617 | − | 6.45392i | 0.230204 | − | 0.398725i | ||||
\(263\) | −10.2763 | − | 17.7991i | −0.633666 | − | 1.09754i | −0.986796 | − | 0.161967i | \(-0.948216\pi\) |
0.353130 | − | 0.935574i | \(-0.385117\pi\) | |||||||
\(264\) | −2.28806 | + | 1.74559i | −0.140820 | + | 0.107434i | ||||
\(265\) | −18.2585 | − | 31.6246i | −1.12161 | − | 1.94269i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.31514 | + | 2.52917i | −0.202883 | + | 0.154783i | ||||
\(268\) | −1.80563 | −0.110297 | ||||||||
\(269\) | −9.92267 | + | 17.1866i | −0.604996 | + | 1.04788i | 0.387057 | + | 0.922056i | \(0.373492\pi\) |
−0.992052 | + | 0.125827i | \(0.959842\pi\) | |||||||
\(270\) | −9.42223 | − | 1.32058i | −0.573419 | − | 0.0803679i | ||||
\(271\) | −5.32056 | − | 9.21548i | −0.323201 | − | 0.559801i | 0.657946 | − | 0.753065i | \(-0.271426\pi\) |
−0.981147 | + | 0.193265i | \(0.938092\pi\) | |||||||
\(272\) | 0.323121 | − | 0.559663i | 0.0195921 | − | 0.0339345i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.121114 | − | 0.209776i | −0.00731676 | − | 0.0126730i | ||||
\(275\) | 3.85373 | − | 6.67485i | 0.232388 | − | 0.402509i | ||||
\(276\) | 6.94677 | + | 2.90012i | 0.418146 | + | 0.174567i | ||||
\(277\) | 12.4407 | + | 21.5479i | 0.747487 | + | 1.29469i | 0.949024 | + | 0.315205i | \(0.102073\pi\) |
−0.201536 | + | 0.979481i | \(0.564593\pi\) | |||||||
\(278\) | −2.44705 | − | 4.23841i | −0.146764 | − | 0.254203i | ||||
\(279\) | 10.4043 | − | 2.72585i | 0.622889 | − | 0.163192i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.83733 | + | 11.8426i | −0.407881 | + | 0.706470i | −0.994652 | − | 0.103282i | \(-0.967065\pi\) |
0.586771 | + | 0.809753i | \(0.300399\pi\) | |||||||
\(282\) | −1.11634 | − | 8.66572i | −0.0664770 | − | 0.516036i | ||||
\(283\) | −6.32179 | −0.375791 | −0.187896 | − | 0.982189i | \(-0.560167\pi\) | ||||
−0.187896 | + | 0.982189i | \(0.560167\pi\) | |||||||
\(284\) | 8.67468 | 0.514747 | ||||||||
\(285\) | 2.29481 | + | 17.8138i | 0.135933 | + | 1.05520i | ||||
\(286\) | −0.264830 | + | 0.458699i | −0.0156597 | + | 0.0271234i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 14.5247 | − | 3.80537i | 0.855878 | − | 0.224234i | ||||
\(289\) | 8.46875 | + | 14.6683i | 0.498162 | + | 0.862842i | ||||
\(290\) | −3.79257 | − | 6.56893i | −0.222708 | − | 0.385741i | ||||
\(291\) | −17.6526 | − | 7.36955i | −1.03481 | − | 0.432011i | ||||
\(292\) | −1.60547 | + | 2.78076i | −0.0939533 | + | 0.162732i | ||||
\(293\) | 1.31508 | + | 2.27778i | 0.0768277 | + | 0.133069i | 0.901880 | − | 0.431987i | \(-0.142188\pi\) |
−0.825052 | + | 0.565057i | \(0.808854\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.34616 | − | 5.79573i | 0.194821 | − | 0.337440i | ||||
\(296\) | −4.40382 | − | 7.62764i | −0.255967 | − | 0.443348i | ||||
\(297\) | 2.85401 | − | 3.65581i | 0.165606 | − | 0.212132i | ||||
\(298\) | 5.21256 | − | 9.02841i | 0.301955 | − | 0.523002i | ||||
\(299\) | 2.96511 | 0.171477 | ||||||||
\(300\) | −20.8583 | + | 15.9131i | −1.20426 | + | 0.918745i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.371500 | + | 0.643457i | 0.0213774 | + | 0.0370268i | ||||
\(303\) | 3.57986 | − | 2.73113i | 0.205657 | − | 0.156899i | ||||
\(304\) | −3.62990 | − | 6.28717i | −0.208189 | − | 0.360594i | ||||
\(305\) | 19.9475 | − | 34.5501i | 1.14219 | − | 1.97833i | ||||
\(306\) | 0.0982463 | − | 0.358663i | 0.00561637 | − | 0.0205034i | ||||
\(307\) | 2.79496 | 0.159517 | 0.0797583 | − | 0.996814i | \(-0.474585\pi\) | ||||
0.0797583 | + | 0.996814i | \(0.474585\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.5225 | + | 6.48030i | 0.883045 | + | 0.368652i | ||||
\(310\) | −3.28226 | + | 5.68504i | −0.186420 | + | 0.322889i | ||||
\(311\) | 15.1003 | 0.856258 | 0.428129 | − | 0.903718i | \(-0.359173\pi\) | ||||
0.428129 | + | 0.903718i | \(0.359173\pi\) | |||||||
\(312\) | 3.06772 | − | 2.34041i | 0.173675 | − | 0.132499i | ||||
\(313\) | 25.4785 | 1.44013 | 0.720064 | − | 0.693908i | \(-0.244112\pi\) | ||||
0.720064 | + | 0.693908i | \(0.244112\pi\) | |||||||
\(314\) | −8.27090 | −0.466754 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.15587 | 0.177531 | ||||||||
\(317\) | 32.5209 | 1.82656 | 0.913278 | − | 0.407337i | \(-0.133543\pi\) | ||||
0.913278 | + | 0.407337i | \(0.133543\pi\) | |||||||
\(318\) | 7.83799 | + | 3.27219i | 0.439533 | + | 0.183495i | ||||
\(319\) | 3.69751 | 0.207021 | ||||||||
\(320\) | 4.96372 | − | 8.59741i | 0.277480 | − | 0.480610i | ||||
\(321\) | 15.0106 | − | 11.4518i | 0.837811 | − | 0.639179i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.702021 | −0.0390615 | ||||||||
\(324\) | −13.7590 | + | 7.74084i | −0.764388 | + | 0.430046i | ||||
\(325\) | −5.16688 | + | 8.94931i | −0.286607 | + | 0.496418i | ||||
\(326\) | 1.65687 | + | 2.86978i | 0.0917654 | + | 0.158942i | ||||
\(327\) | −3.39159 | − | 1.41591i | −0.187556 | − | 0.0783003i | ||||
\(328\) | 4.45083 | + | 7.70906i | 0.245756 | + | 0.425661i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.361672 | + | 2.80753i | 0.0199094 | + | 0.154549i | ||||
\(331\) | 18.0948 | 0.994582 | 0.497291 | − | 0.867584i | \(-0.334328\pi\) | ||||
0.497291 | + | 0.867584i | \(0.334328\pi\) | |||||||
\(332\) | 10.8081 | − | 18.7201i | 0.593170 | − | 1.02740i | ||||
\(333\) | 9.98070 | + | 10.0924i | 0.546939 | + | 0.553062i | ||||
\(334\) | 4.37132 | + | 7.57135i | 0.239188 | + | 0.414286i | ||||
\(335\) | −1.90051 | + | 3.29179i | −0.103836 | + | 0.179850i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.5086 | − | 21.6656i | −0.681389 | − | 1.18020i | −0.974557 | − | 0.224139i | \(-0.928043\pi\) |
0.293168 | − | 0.956061i | \(-0.405290\pi\) | |||||||
\(338\) | −2.86807 | + | 4.96765i | −0.156003 | + | 0.270204i | ||||
\(339\) | −21.7938 | + | 16.6268i | −1.18368 | + | 0.903045i | ||||
\(340\) | −0.809596 | − | 1.40226i | −0.0439065 | − | 0.0760483i | ||||
\(341\) | −1.59999 | − | 2.77127i | −0.0866446 | − | 0.150073i | ||||
\(342\) | −2.93752 | − | 2.97041i | −0.158843 | − | 0.160621i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −9.28778 | + | 16.0869i | −0.500764 | + | 0.867348i | ||||
\(345\) | 12.5989 | − | 9.61190i | 0.678303 | − | 0.517488i | ||||
\(346\) | −1.92736 | −0.103616 | ||||||||
\(347\) | 10.7489 | 0.577030 | 0.288515 | − | 0.957475i | \(-0.406838\pi\) | ||||
0.288515 | + | 0.957475i | \(0.406838\pi\) | |||||||
\(348\) | −11.6145 | − | 4.84878i | −0.622601 | − | 0.259922i | ||||
\(349\) | 1.64301 | − | 2.84577i | 0.0879482 | − | 0.152331i | −0.818695 | − | 0.574228i | \(-0.805302\pi\) |
0.906644 | + | 0.421897i | \(0.138636\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.82651 | + | 4.90153i | −0.204244 | + | 0.261624i | ||||
\(352\) | −2.23365 | − | 3.86879i | −0.119054 | − | 0.206207i | ||||
\(353\) | 8.40960 | + | 14.5658i | 0.447598 | + | 0.775262i | 0.998229 | − | 0.0594866i | \(-0.0189463\pi\) |
−0.550631 | + | 0.834748i | \(0.685613\pi\) | |||||||
\(354\) | 0.198880 | + | 1.54383i | 0.0105704 | + | 0.0820538i | ||||
\(355\) | 9.13051 | − | 15.8145i | 0.484597 | − | 0.839347i | ||||
\(356\) | −2.11144 | − | 3.65711i | −0.111906 | − | 0.193827i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.81864 | + | 3.14997i | −0.0961180 | + | 0.166481i | ||||
\(359\) | 11.8921 | + | 20.5978i | 0.627642 | + | 1.08711i | 0.988024 | + | 0.154303i | \(0.0493131\pi\) |
−0.360382 | + | 0.932805i | \(0.617354\pi\) | |||||||
\(360\) | 5.44808 | − | 19.8890i | 0.287139 | − | 1.04824i | ||||
\(361\) | 5.55680 | − | 9.62466i | 0.292463 | − | 0.506561i | ||||
\(362\) | 5.58177 | 0.293371 | ||||||||
\(363\) | 16.3085 | + | 6.80845i | 0.855976 | + | 0.357351i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.37968 | + | 5.85377i | 0.176900 | + | 0.306401i | ||||
\(366\) | 1.18559 | + | 9.20326i | 0.0619716 | + | 0.481062i | ||||
\(367\) | −0.344992 | − | 0.597544i | −0.0180084 | − | 0.0311915i | 0.856881 | − | 0.515515i | \(-0.172399\pi\) |
−0.874889 | + | 0.484323i | \(0.839066\pi\) | |||||||
\(368\) | −3.20263 | + | 5.54712i | −0.166949 | + | 0.289164i | ||||
\(369\) | −10.0872 | − | 10.2002i | −0.525121 | − | 0.530999i | ||||
\(370\) | −8.66327 | −0.450382 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.39169 | + | 10.8032i | 0.0721558 | + | 0.560119i | ||||
\(373\) | 1.88006 | − | 3.25636i | 0.0973457 | − | 0.168608i | −0.813239 | − | 0.581929i | \(-0.802298\pi\) |
0.910585 | + | 0.413321i | \(0.135631\pi\) | |||||||
\(374\) | −0.110642 | −0.00572114 | ||||||||
\(375\) | 2.97050 | + | 23.0589i | 0.153396 | + | 1.19075i | ||||
\(376\) | 18.9376 | 0.976634 | ||||||||
\(377\) | −4.95744 | −0.255321 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.8735 | 1.68860 | 0.844300 | − | 0.535872i | \(-0.180017\pi\) | ||||
0.844300 | + | 0.535872i | \(0.180017\pi\) | |||||||
\(380\) | −18.1898 | −0.933116 | ||||||||
\(381\) | −0.280930 | − | 2.18075i | −0.0143925 | − | 0.111723i | ||||
\(382\) | 11.8244 | 0.604991 | ||||||||
\(383\) | −0.536335 | + | 0.928960i | −0.0274055 | + | 0.0474676i | −0.879403 | − | 0.476078i | \(-0.842058\pi\) |
0.851997 | + | 0.523546i | \(0.175391\pi\) | |||||||
\(384\) | 2.51021 | + | 19.4858i | 0.128099 | + | 0.994381i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.94276 | −0.149782 | ||||||||
\(387\) | 7.90875 | − | 28.8721i | 0.402024 | − | 1.46765i | ||||
\(388\) | 9.68640 | − | 16.7773i | 0.491752 | − | 0.851740i | ||||
\(389\) | 11.8718 | + | 20.5626i | 0.601925 | + | 1.04256i | 0.992529 | + | 0.122006i | \(0.0389326\pi\) |
−0.390605 | + | 0.920559i | \(0.627734\pi\) | |||||||
\(390\) | −0.484912 | − | 3.76419i | −0.0245545 | − | 0.190607i | ||||
\(391\) | 0.309693 | + | 0.536405i | 0.0156619 | + | 0.0271271i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24.0215 | − | 10.0284i | −1.21172 | − | 0.505868i | ||||
\(394\) | 7.67019 | 0.386419 | ||||||||
\(395\) | 3.32170 | − | 5.75336i | 0.167133 | − | 0.289483i | ||||
\(396\) | 3.30274 | + | 3.33972i | 0.165969 | + | 0.167827i | ||||
\(397\) | 0.0160489 | + | 0.0277975i | 0.000805471 | + | 0.00139512i | 0.866428 | − | 0.499302i | \(-0.166410\pi\) |
−0.865622 | + | 0.500697i | \(0.833077\pi\) | |||||||
\(398\) | 3.84208 | − | 6.65467i | 0.192586 | − | 0.333569i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.1616 | − | 19.3324i | −0.558078 | − | 0.966619i | ||||
\(401\) | −12.2628 | + | 21.2398i | −0.612374 | + | 1.06066i | 0.378465 | + | 0.925616i | \(0.376452\pi\) |
−0.990839 | + | 0.135048i | \(0.956881\pi\) | |||||||
\(402\) | −0.112958 | − | 0.876848i | −0.00563381 | − | 0.0437332i | ||||
\(403\) | 2.14519 | + | 3.71558i | 0.106860 | + | 0.185086i | ||||
\(404\) | 2.28004 | + | 3.94914i | 0.113436 | + | 0.196477i | ||||
\(405\) | −0.369938 | + | 33.2312i | −0.0183824 | + | 1.65127i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.11153 | − | 3.65728i | 0.104665 | − | 0.181284i | ||||
\(408\) | 0.743802 | + | 0.310521i | 0.0368237 | + | 0.0153731i | ||||
\(409\) | −26.7897 | −1.32467 | −0.662333 | − | 0.749210i | \(-0.730433\pi\) | ||||
−0.662333 | + | 0.749210i | \(0.730433\pi\) | |||||||
\(410\) | 8.75574 | 0.432415 | ||||||||
\(411\) | −0.672682 | + | 0.513199i | −0.0331810 | + | 0.0253143i | ||||
\(412\) | −8.51759 | + | 14.7529i | −0.419631 | + | 0.726823i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.973773 | + | 3.55490i | −0.0478583 | + | 0.174714i | ||||
\(415\) | −22.7520 | − | 39.4077i | −1.11685 | − | 1.93445i | ||||
\(416\) | 2.99476 | + | 5.18708i | 0.146830 | + | 0.254317i | ||||
\(417\) | −13.5912 | + | 10.3689i | −0.665564 | + | 0.507769i | ||||
\(418\) | −0.621466 | + | 1.07641i | −0.0303969 | + | 0.0526490i | ||||
\(419\) | 10.5262 | + | 18.2320i | 0.514240 | + | 0.890689i | 0.999864 | + | 0.0165215i | \(0.00525920\pi\) |
−0.485624 | + | 0.874168i | \(0.661407\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.44533 | + | 12.8957i | −0.362863 | + | 0.628498i | −0.988431 | − | 0.151672i | \(-0.951534\pi\) |
0.625568 | + | 0.780170i | \(0.284867\pi\) | |||||||
\(422\) | −0.382760 | − | 0.662959i | −0.0186325 | − | 0.0322724i | ||||
\(423\) | −29.5228 | + | 7.73475i | −1.43545 | + | 0.376076i | ||||
\(424\) | −9.20469 | + | 15.9430i | −0.447019 | + | 0.774260i | ||||
\(425\) | −2.15864 | −0.104709 | ||||||||
\(426\) | 0.542675 | + | 4.21258i | 0.0262927 | + | 0.204100i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 9.56037 | + | 16.5590i | 0.462118 | + | 0.800412i | ||||
\(429\) | 1.70728 | + | 0.712750i | 0.0824281 | + | 0.0344119i | ||||
\(430\) | 9.13554 | + | 15.8232i | 0.440555 | + | 0.763064i | ||||
\(431\) | −7.95192 | + | 13.7731i | −0.383031 | + | 0.663428i | −0.991494 | − | 0.130154i | \(-0.958453\pi\) |
0.608463 | + | 0.793582i | \(0.291786\pi\) | |||||||
\(432\) | −5.03673 | − | 12.4528i | −0.242330 | − | 0.599135i | ||||
\(433\) | 16.3658 | 0.786490 | 0.393245 | − | 0.919434i | \(-0.371352\pi\) | ||||
0.393245 | + | 0.919434i | \(0.371352\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −21.0644 | + | 16.0704i | −1.00996 | + | 0.770515i | ||||
\(436\) | 1.86105 | − | 3.22344i | 0.0891282 | − | 0.154375i | ||||
\(437\) | 6.95811 | 0.332851 | ||||||||
\(438\) | −1.45083 | − | 0.605687i | −0.0693231 | − | 0.0289409i | ||||
\(439\) | 15.5447 | 0.741909 | 0.370954 | − | 0.928651i | \(-0.379031\pi\) | ||||
0.370954 | + | 0.928651i | \(0.379031\pi\) | |||||||
\(440\) | −6.13543 | −0.292495 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.148343 | 0.00705594 | ||||||||
\(443\) | 1.79005 | 0.0850480 | 0.0425240 | − | 0.999095i | \(-0.486460\pi\) | ||||
0.0425240 | + | 0.999095i | \(0.486460\pi\) | |||||||
\(444\) | −11.4287 | + | 8.71910i | −0.542381 | + | 0.413790i | ||||
\(445\) | −8.88955 | −0.421405 | ||||||||
\(446\) | −1.34961 | + | 2.33759i | −0.0639058 | + | 0.110688i | ||||
\(447\) | −33.6038 | − | 14.0288i | −1.58940 | − | 0.663540i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.5666 | 0.640250 | 0.320125 | − | 0.947375i | \(-0.396275\pi\) | ||||
0.320125 | + | 0.947375i | \(0.396275\pi\) | |||||||
\(450\) | −9.03257 | − | 9.13368i | −0.425799 | − | 0.430566i | ||||
\(451\) | −2.13407 | + | 3.69631i | −0.100489 | + | 0.174053i | ||||
\(452\) | −13.8806 | − | 24.0419i | −0.652890 | − | 1.13084i | ||||
\(453\) | 2.06336 | − | 1.57417i | 0.0969450 | − | 0.0739608i | ||||
\(454\) | 3.98588 | + | 6.90375i | 0.187067 | + | 0.324009i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.19889 | − | 5.49214i | 0.337119 | − | 0.257193i | ||||
\(457\) | 2.56917 | 0.120181 | 0.0600905 | − | 0.998193i | \(-0.480861\pi\) | ||||
0.0600905 | + | 0.998193i | \(0.480861\pi\) | |||||||
\(458\) | 2.47151 | − | 4.28078i | 0.115486 | − | 0.200028i | ||||
\(459\) | −1.28638 | − | 0.180293i | −0.0600429 | − | 0.00841535i | ||||
\(460\) | 8.02434 | + | 13.8986i | 0.374137 | + | 0.648024i | ||||
\(461\) | −18.0934 | + | 31.3388i | −0.842695 | + | 1.45959i | 0.0449122 | + | 0.998991i | \(0.485699\pi\) |
−0.887608 | + | 0.460600i | \(0.847634\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.19224 | + | 14.1894i | 0.380726 | + | 0.659436i | 0.991166 | − | 0.132626i | \(-0.0423409\pi\) |
−0.610440 | + | 0.792062i | \(0.709008\pi\) | |||||||
\(464\) | 5.35455 | − | 9.27436i | 0.248579 | − | 0.430551i | ||||
\(465\) | 21.1597 | + | 8.83372i | 0.981259 | + | 0.409654i | ||||
\(466\) | −4.10105 | − | 7.10323i | −0.189978 | − | 0.329051i | ||||
\(467\) | 4.35022 | + | 7.53480i | 0.201304 | + | 0.348669i | 0.948949 | − | 0.315430i | \(-0.102149\pi\) |
−0.747645 | + | 0.664099i | \(0.768815\pi\) | |||||||
\(468\) | −4.42815 | − | 4.47772i | −0.204692 | − | 0.206983i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.31361 | − | 16.1316i | 0.429605 | − | 0.744097i | ||||
\(471\) | 3.69117 | + | 28.6532i | 0.170080 | + | 1.32027i | ||||
\(472\) | −3.37381 | −0.155292 | ||||||||
\(473\) | −8.90655 | −0.409524 | ||||||||
\(474\) | 0.197426 | + | 1.53255i | 0.00906809 | + | 0.0703922i | ||||
\(475\) | −12.1249 | + | 21.0010i | −0.556330 | + | 0.963591i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.83799 | − | 28.6138i | 0.358877 | − | 1.31014i | ||||
\(478\) | 5.46047 | + | 9.45782i | 0.249756 | + | 0.432591i | ||||
\(479\) | −8.88370 | − | 15.3870i | −0.405907 | − | 0.703051i | 0.588520 | − | 0.808483i | \(-0.299711\pi\) |
−0.994427 | + | 0.105432i | \(0.966378\pi\) | |||||||
\(480\) | 29.5397 | + | 12.3322i | 1.34830 | + | 0.562884i | ||||
\(481\) | −2.83103 | + | 4.90349i | −0.129084 | + | 0.223580i | ||||
\(482\) | −4.14548 | − | 7.18018i | −0.188821 | − | 0.327048i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.94890 | + | 15.4999i | −0.406768 | + | 0.704543i | ||||
\(485\) | −20.3908 | − | 35.3179i | −0.925898 | − | 1.60370i | ||||
\(486\) | −4.61983 | − | 6.19736i | −0.209560 | − | 0.281118i | ||||
\(487\) | 8.32763 | − | 14.4239i | 0.377361 | − | 0.653608i | −0.613316 | − | 0.789837i | \(-0.710165\pi\) |
0.990677 | + | 0.136229i | \(0.0434983\pi\) | |||||||
\(488\) | −20.1123 | −0.910443 | ||||||||
\(489\) | 9.20245 | − | 7.02068i | 0.416149 | − | 0.317486i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.21021 | − | 5.56025i | −0.144875 | − | 0.250930i | 0.784451 | − | 0.620190i | \(-0.212945\pi\) |
−0.929326 | + | 0.369260i | \(0.879611\pi\) | |||||||
\(492\) | 11.5507 | − | 8.81217i | 0.520744 | − | 0.397283i | ||||
\(493\) | −0.517784 | − | 0.896827i | −0.0233198 | − | 0.0403911i | ||||
\(494\) | 0.833230 | − | 1.44320i | 0.0374888 | − | 0.0649325i | ||||
\(495\) | 9.56482 | − | 2.50591i | 0.429907 | − | 0.112632i | ||||
\(496\) | −9.26814 | −0.416152 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.76698 | + | 4.07750i | 0.437669 | + | 0.182717i | ||||
\(499\) | −5.57296 | + | 9.65264i | −0.249480 | + | 0.432112i | −0.963382 | − | 0.268134i | \(-0.913593\pi\) |
0.713902 | + | 0.700246i | \(0.246926\pi\) | |||||||
\(500\) | −23.5456 | −1.05299 | ||||||||
\(501\) | 24.2789 | − | 18.5227i | 1.08470 | − | 0.827533i | ||||
\(502\) | −4.23025 | −0.188805 | ||||||||
\(503\) | 17.7223 | 0.790200 | 0.395100 | − | 0.918638i | \(-0.370710\pi\) | ||||
0.395100 | + | 0.918638i | \(0.370710\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.59939 | 0.427167 | ||||||||
\(506\) | 1.09663 | 0.0487511 | ||||||||
\(507\) | 18.4896 | + | 7.71899i | 0.821151 | + | 0.342812i | ||||
\(508\) | 2.22678 | 0.0987976 | ||||||||
\(509\) | 15.5411 | − | 26.9180i | 0.688848 | − | 1.19312i | −0.283362 | − | 0.959013i | \(-0.591450\pi\) |
0.972211 | − | 0.234107i | \(-0.0752167\pi\) | |||||||
\(510\) | 0.630316 | − | 0.480878i | 0.0279109 | − | 0.0212936i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −22.5634 | −0.997169 | ||||||||
\(513\) | −8.97952 | + | 11.5022i | −0.396456 | + | 0.507835i | ||||
\(514\) | 4.24456 | − | 7.35180i | 0.187220 | − | 0.324274i | ||||
\(515\) | 17.9303 | + | 31.0563i | 0.790105 | + | 1.36850i | ||||
\(516\) | 27.9769 | + | 11.6797i | 1.23161 | + | 0.514172i | ||||
\(517\) | 4.54008 | + | 7.86365i | 0.199672 | + | 0.345843i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.860152 | + | 6.67704i | 0.0377565 | + | 0.293089i | ||||
\(520\) | 8.22608 | 0.360737 | ||||||||
\(521\) | 2.37986 | − | 4.12203i | 0.104263 | − | 0.180590i | −0.809174 | − | 0.587570i | \(-0.800085\pi\) |
0.913437 | + | 0.406980i | \(0.133418\pi\) | |||||||
\(522\) | 1.62807 | − | 5.94353i | 0.0712588 | − | 0.260141i | ||||
\(523\) | −20.1258 | − | 34.8588i | −0.880038 | − | 1.52427i | −0.851298 | − | 0.524683i | \(-0.824184\pi\) |
−0.0287402 | − | 0.999587i | \(-0.509150\pi\) | |||||||
\(524\) | 13.1812 | − | 22.8305i | 0.575823 | − | 0.997355i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.09571 | + | 8.82602i | 0.222183 | + | 0.384833i | ||||
\(527\) | −0.448113 | + | 0.776154i | −0.0195201 | + | 0.0338098i | ||||
\(528\) | −3.17745 | + | 2.42412i | −0.138281 | + | 0.105496i | ||||
\(529\) | 8.43046 | + | 14.6020i | 0.366542 | + | 0.634869i | ||||
\(530\) | 9.05381 | + | 15.6817i | 0.393272 | + | 0.681168i | ||||
\(531\) | 5.25960 | − | 1.37798i | 0.228247 | − | 0.0597991i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.86125 | − | 4.95583i | 0.123935 | − | 0.214661i | ||||
\(534\) | 1.64387 | − | 1.25413i | 0.0711373 | − | 0.0542717i | ||||
\(535\) | 40.2510 | 1.74020 | ||||||||
\(536\) | 1.91622 | 0.0827680 | ||||||||
\(537\) | 11.7242 | + | 4.89459i | 0.505937 | + | 0.211217i | ||||
\(538\) | 4.92033 | − | 8.52227i | 0.212131 | − | 0.367421i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −33.3308 | − | 4.67150i | −1.43433 | − | 0.201029i | ||||
\(541\) | 12.0547 | + | 20.8794i | 0.518273 | + | 0.897675i | 0.999775 | + | 0.0212301i | \(0.00675826\pi\) |
−0.481502 | + | 0.876445i | \(0.659908\pi\) | |||||||
\(542\) | 2.63830 | + | 4.56966i | 0.113325 | + | 0.196284i | ||||
\(543\) | −2.49105 | − | 19.3371i | −0.106901 | − | 0.829836i | ||||
\(544\) | −0.625580 | + | 1.08354i | −0.0268215 | + | 0.0464563i | ||||
\(545\) | −3.91769 | − | 6.78564i | −0.167815 | − | 0.290665i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.17751 | + | 10.6998i | −0.264131 | + | 0.457489i | −0.967336 | − | 0.253499i | \(-0.918419\pi\) |
0.703204 | + | 0.710988i | \(0.251752\pi\) | |||||||
\(548\) | −0.428436 | − | 0.742073i | −0.0183019 | − | 0.0316998i | ||||
\(549\) | 31.3541 | − | 8.21454i | 1.33816 | − | 0.350588i | ||||
\(550\) | −1.91094 | + | 3.30985i | −0.0814828 | + | 0.141132i | ||||
\(551\) | −11.6334 | −0.495600 | ||||||||
\(552\) | −7.37223 | − | 3.07774i | −0.313783 | − | 0.130997i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.16893 | − | 10.6849i | −0.262093 | − | 0.453958i | ||||
\(555\) | 3.86628 | + | 30.0125i | 0.164114 | + | 1.27396i | ||||
\(556\) | −8.65633 | − | 14.9932i | −0.367110 | − | 0.635853i | ||||
\(557\) | 4.03845 | − | 6.99479i | 0.171114 | − | 0.296379i | −0.767695 | − | 0.640815i | \(-0.778597\pi\) |
0.938810 | + | 0.344436i | \(0.111930\pi\) | |||||||
\(558\) | −5.15916 | + | 1.35166i | −0.218405 | + | 0.0572204i | ||||
\(559\) | 11.9415 | 0.505070 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.0493776 | + | 0.383300i | 0.00208472 | + | 0.0161829i | ||||
\(562\) | 3.39041 | − | 5.87237i | 0.143016 | − | 0.247711i | ||||
\(563\) | −45.2127 | −1.90549 | −0.952744 | − | 0.303774i | \(-0.901753\pi\) | ||||
−0.952744 | + | 0.303774i | \(0.901753\pi\) | |||||||
\(564\) | −3.94900 | − | 30.6547i | −0.166283 | − | 1.29079i | ||||
\(565\) | −58.4401 | −2.45859 | ||||||||
\(566\) | 3.13477 | 0.131764 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.20596 | −0.386274 | ||||||||
\(569\) | 22.4299 | 0.940309 | 0.470155 | − | 0.882584i | \(-0.344198\pi\) | ||||
0.470155 | + | 0.882584i | \(0.344198\pi\) | |||||||
\(570\) | −1.13792 | − | 8.83329i | −0.0476624 | − | 0.369986i | ||||
\(571\) | −21.8269 | −0.913426 | −0.456713 | − | 0.889614i | \(-0.650973\pi\) | ||||
−0.456713 | + | 0.889614i | \(0.650973\pi\) | |||||||
\(572\) | −0.936826 | + | 1.62263i | −0.0391706 | + | 0.0678455i | ||||
\(573\) | −5.27706 | − | 40.9638i | −0.220452 | − | 1.71129i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 21.3954 | 0.892251 | ||||||||
\(576\) | 7.80212 | − | 2.04410i | 0.325088 | − | 0.0851707i | ||||
\(577\) | 16.1022 | − | 27.8898i | 0.670342 | − | 1.16107i | −0.307465 | − | 0.951559i | \(-0.599481\pi\) |
0.977807 | − | 0.209508i | \(-0.0671861\pi\) | |||||||
\(578\) | −4.19939 | − | 7.27355i | −0.174671 | − | 0.302540i | ||||
\(579\) | 1.31331 | + | 10.1947i | 0.0545791 | + | 0.423678i | ||||
\(580\) | −13.4161 | − | 23.2373i | −0.557072 | − | 0.964878i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 8.75335 | + | 3.65433i | 0.362838 | + | 0.151477i | ||||
\(583\) | −8.82687 | −0.365571 | ||||||||
\(584\) | 1.70380 | − | 2.95107i | 0.0705039 | − | 0.122116i | ||||
\(585\) | −12.8240 | + | 3.35980i | −0.530209 | + | 0.138911i | ||||
\(586\) | −0.652105 | − | 1.12948i | −0.0269382 | − | 0.0466584i | ||||
\(587\) | 9.72304 | − | 16.8408i | 0.401313 | − | 0.695094i | −0.592572 | − | 0.805518i | \(-0.701887\pi\) |
0.993885 | + | 0.110424i | \(0.0352208\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.03404 | + | 8.71921i | 0.207424 | + | 0.359269i | ||||
\(590\) | −1.65926 | + | 2.87392i | −0.0683105 | + | 0.118317i | ||||
\(591\) | −3.42309 | − | 26.5721i | −0.140807 | − | 1.09303i | ||||
\(592\) | −6.11563 | − | 10.5926i | −0.251351 | − | 0.435352i | ||||
\(593\) | 14.4202 | + | 24.9766i | 0.592168 | + | 1.02566i | 0.993940 | + | 0.109925i | \(0.0350611\pi\) |
−0.401772 | + | 0.915740i | \(0.631606\pi\) | |||||||
\(594\) | −1.41521 | + | 1.81280i | −0.0580669 | + | 0.0743801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 18.4392 | − | 31.9377i | 0.755300 | − | 1.30822i | ||||
\(597\) | −24.7687 | − | 10.3404i | −1.01372 | − | 0.423204i | ||||
\(598\) | −1.47030 | −0.0601252 | ||||||||
\(599\) | −46.9989 | −1.92032 | −0.960161 | − | 0.279447i | \(-0.909849\pi\) | ||||
−0.960161 | + | 0.279447i | \(0.909849\pi\) | |||||||
\(600\) | 22.1358 | − | 16.8877i | 0.903690 | − | 0.689439i | ||||
\(601\) | 7.80843 | − | 13.5246i | 0.318512 | − | 0.551680i | −0.661665 | − | 0.749799i | \(-0.730150\pi\) |
0.980178 | + | 0.198119i | \(0.0634834\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.98729 | + | 0.782646i | −0.121652 | + | 0.0318718i | ||||
\(604\) | 1.31417 | + | 2.27620i | 0.0534727 | + | 0.0926174i | ||||
\(605\) | 18.8383 | + | 32.6289i | 0.765885 | + | 1.32655i | ||||
\(606\) | −1.77514 | + | 1.35428i | −0.0721100 | + | 0.0550138i | ||||
\(607\) | −14.3266 | + | 24.8144i | −0.581500 | + | 1.00719i | 0.413802 | + | 0.910367i | \(0.364200\pi\) |
−0.995302 | + | 0.0968200i | \(0.969133\pi\) | |||||||
\(608\) | 7.02769 | + | 12.1723i | 0.285010 | + | 0.493652i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.89134 | + | 17.1323i | −0.400489 | + | 0.693667i | ||||
\(611\) | −6.08711 | − | 10.5432i | −0.246258 | − | 0.426531i | ||||
\(612\) | 0.347543 | − | 1.26876i | 0.0140486 | − | 0.0512865i | ||||
\(613\) | 14.6734 | − | 25.4151i | 0.592653 | − | 1.02651i | −0.401220 | − | 0.915982i | \(-0.631414\pi\) |
0.993873 | − | 0.110524i | \(-0.0352529\pi\) | |||||||
\(614\) | −1.38593 | −0.0559316 | ||||||||
\(615\) | −3.90755 | − | 30.3328i | −0.157568 | − | 1.22314i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.06401 | + | 3.57497i | 0.0830938 | + | 0.143923i | 0.904577 | − | 0.426310i | \(-0.140187\pi\) |
−0.821484 | + | 0.570232i | \(0.806853\pi\) | |||||||
\(618\) | −7.69712 | − | 3.21338i | −0.309624 | − | 0.129261i | ||||
\(619\) | 11.3565 | + | 19.6700i | 0.456456 | + | 0.790605i | 0.998771 | − | 0.0495708i | \(-0.0157853\pi\) |
−0.542315 | + | 0.840175i | \(0.682452\pi\) | |||||||
\(620\) | −11.6109 | + | 20.1106i | −0.466304 | + | 0.807662i | ||||
\(621\) | 12.7500 | + | 1.78698i | 0.511639 | + | 0.0717090i | ||||
\(622\) | −7.48774 | −0.300231 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.26017 | − | 3.25014i | 0.170543 | − | 0.130110i | ||||
\(625\) | −3.19498 | + | 5.53387i | −0.127799 | + | 0.221355i | ||||
\(626\) | −12.6340 | −0.504955 | ||||||||
\(627\) | 4.00640 | + | 1.67258i | 0.160000 | + | 0.0667965i | ||||
\(628\) | −29.2580 | −1.16752 | ||||||||
\(629\) | −1.18276 | −0.0471597 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.6411 | −1.53828 | −0.769138 | − | 0.639082i | \(-0.779314\pi\) | ||||
−0.769138 | + | 0.639082i | \(0.779314\pi\) | |||||||
\(632\) | −3.34915 | −0.133222 | ||||||||
\(633\) | −2.12590 | + | 1.62188i | −0.0844968 | + | 0.0644639i | ||||
\(634\) | −16.1261 | −0.640449 | ||||||||
\(635\) | 2.34380 | − | 4.05958i | 0.0930107 | − | 0.161099i | ||||
\(636\) | 27.7266 | + | 11.5752i | 1.09943 | + | 0.458988i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.83348 | −0.0725881 | ||||||||
\(639\) | 14.3516 | − | 3.76002i | 0.567741 | − | 0.148744i | ||||
\(640\) | −20.9427 | + | 36.2737i | −0.827831 | + | 1.43385i | ||||
\(641\) | 14.2363 | + | 24.6580i | 0.562301 | + | 0.973933i | 0.997295 | + | 0.0735002i | \(0.0234169\pi\) |
−0.434995 | + | 0.900433i | \(0.643250\pi\) | |||||||
\(642\) | −7.44329 | + | 5.67860i | −0.293763 | + | 0.224116i | ||||
\(643\) | 8.52125 | + | 14.7592i | 0.336045 | + | 0.582048i | 0.983685 | − | 0.179899i | \(-0.0575771\pi\) |
−0.647640 | + | 0.761947i | \(0.724244\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 50.7400 | − | 38.7103i | 1.99788 | − | 1.52422i | ||||
\(646\) | 0.348110 | 0.0136962 | ||||||||
\(647\) | −1.68809 | + | 2.92386i | −0.0663657 | + | 0.114949i | −0.897299 | − | 0.441423i | \(-0.854474\pi\) |
0.830933 | + | 0.556372i | \(0.187807\pi\) | |||||||
\(648\) | 14.6017 | − | 8.21493i | 0.573608 | − | 0.322713i | ||||
\(649\) | −0.808833 | − | 1.40094i | −0.0317495 | − | 0.0549917i | ||||
\(650\) | 2.56209 | − | 4.43768i | 0.100494 | − | 0.174060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.86110 | + | 10.1517i | 0.229538 | + | 0.397572i | ||||
\(653\) | 9.17255 | − | 15.8873i | 0.358950 | − | 0.621719i | −0.628836 | − | 0.777538i | \(-0.716468\pi\) |
0.987786 | + | 0.155819i | \(0.0498017\pi\) | |||||||
\(654\) | 1.68178 | + | 0.702107i | 0.0657629 | + | 0.0274546i | ||||
\(655\) | −27.7477 | − | 48.0604i | −1.08419 | − | 1.87787i | ||||
\(656\) | 6.18090 | + | 10.7056i | 0.241324 | + | 0.417985i | ||||
\(657\) | −1.45083 | + | 5.29646i | −0.0566021 | + | 0.206635i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.9248 | + | 24.1184i | −0.542432 | + | 0.939519i | 0.456332 | + | 0.889810i | \(0.349163\pi\) |
−0.998764 | + | 0.0497098i | \(0.984170\pi\) | |||||||
\(660\) | 1.27940 | + | 9.93152i | 0.0498007 | + | 0.386584i | ||||
\(661\) | −39.0141 | −1.51747 | −0.758737 | − | 0.651397i | \(-0.774183\pi\) | ||||
−0.758737 | + | 0.651397i | \(0.774183\pi\) | |||||||
\(662\) | −8.97265 | −0.348732 | ||||||||
\(663\) | −0.0662030 | − | 0.513909i | −0.00257111 | − | 0.0199586i | ||||
\(664\) | −11.4700 | + | 19.8667i | −0.445123 | + | 0.770976i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.94911 | − | 5.00452i | −0.191774 | − | 0.193921i | ||||
\(667\) | 5.13203 | + | 8.88894i | 0.198713 | + | 0.344181i | ||||
\(668\) | 15.4634 | + | 26.7834i | 0.598296 | + | 1.03628i | ||||
\(669\) | 8.70051 | + | 3.63227i | 0.336381 | + | 0.140432i | ||||
\(670\) | 0.942405 | − | 1.63229i | 0.0364083 | − | 0.0630610i | ||||
\(671\) | −4.82170 | − | 8.35143i | −0.186140 | − | 0.322404i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.6154 | − | 42.6352i | 0.948856 | − | 1.64347i | 0.201014 | − | 0.979588i | \(-0.435576\pi\) |
0.747841 | − | 0.663878i | \(-0.231090\pi\) | |||||||
\(674\) | 6.20264 | + | 10.7433i | 0.238917 | + | 0.413816i | ||||
\(675\) | −27.6111 | + | 35.3681i | −1.06275 | + | 1.36132i | ||||
\(676\) | −10.1457 | + | 17.5729i | −0.390219 | + | 0.675879i | ||||
\(677\) | 23.3915 | 0.899010 | 0.449505 | − | 0.893278i | \(-0.351600\pi\) | ||||
0.449505 | + | 0.893278i | \(0.351600\pi\) | |||||||
\(678\) | 10.8069 | − | 8.24471i | 0.415035 | − | 0.316636i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.859180 | + | 1.48814i | 0.0329480 | + | 0.0570677i | ||||
\(681\) | 22.1381 | − | 16.8895i | 0.848333 | − | 0.647206i | ||||
\(682\) | 0.793387 | + | 1.37419i | 0.0303803 | + | 0.0526203i | ||||
\(683\) | −15.1632 | + | 26.2634i | −0.580204 | + | 1.00494i | 0.415251 | + | 0.909707i | \(0.363694\pi\) |
−0.995455 | + | 0.0952356i | \(0.969640\pi\) | |||||||
\(684\) | −10.3914 | − | 10.5077i | −0.397324 | − | 0.401772i | ||||
\(685\) | −1.80380 | −0.0689196 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −15.9330 | − | 6.65169i | −0.607884 | − | 0.253778i | ||||
\(688\) | −12.8980 | + | 22.3401i | −0.491733 | + | 0.851707i | ||||
\(689\) | 11.8346 | 0.450863 | ||||||||
\(690\) | −6.24741 | + | 4.76624i | −0.237835 | + | 0.181448i | ||||
\(691\) | 4.11330 | 0.156477 | 0.0782387 | − | 0.996935i | \(-0.475070\pi\) | ||||
0.0782387 | + | 0.996935i | \(0.475070\pi\) | |||||||
\(692\) | −6.81797 | −0.259180 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.33003 | −0.202325 | ||||||||
\(695\) | −36.4448 | −1.38243 | ||||||||
\(696\) | 12.3258 | + | 5.14575i | 0.467208 | + | 0.195049i | ||||
\(697\) | 1.19538 | 0.0452784 | ||||||||
\(698\) | −0.814716 | + | 1.41113i | −0.0308375 | + | 0.0534120i | ||||
\(699\) | −22.7778 | + | 17.3775i | −0.861534 | + | 0.657277i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.1835 | 1.10225 | 0.551123 | − | 0.834424i | \(-0.314200\pi\) | ||||
0.551123 | + | 0.834424i | \(0.314200\pi\) | |||||||
\(702\) | 1.89745 | − | 2.43051i | 0.0716145 | − | 0.0917338i | ||||
\(703\) | −6.64347 | + | 11.5068i | −0.250563 | + | 0.433988i | ||||
\(704\) | −1.19983 | − | 2.07816i | −0.0452202 | − | 0.0783236i | ||||
\(705\) | −60.0420 | − | 25.0662i | −2.26131 | − | 0.944047i | ||||
\(706\) | −4.17005 | − | 7.22274i | −0.156942 | − | 0.271831i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.703531 | + | 5.46125i | 0.0264403 | + | 0.205246i | ||||
\(709\) | −42.4617 | −1.59468 | −0.797342 | − | 0.603528i | \(-0.793761\pi\) | ||||
−0.797342 | + | 0.603528i | \(0.793761\pi\) | |||||||
\(710\) | −4.52753 | + | 7.84192i | −0.169915 | + | 0.294302i | ||||
\(711\) | 5.22115 | − | 1.36790i | 0.195809 | − | 0.0513004i | ||||
\(712\) | 2.24075 | + | 3.88109i | 0.0839757 | + | 0.145450i | ||||
\(713\) | 4.44149 | − | 7.69288i | 0.166335 | − | 0.288101i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.97211 | + | 3.41579i | 0.0737526 | + | 0.127743i | ||||
\(716\) | −6.43336 | + | 11.1429i | −0.240426 | + | 0.416430i | ||||
\(717\) | 30.3282 | − | 23.1378i | 1.13263 | − | 0.864097i | ||||
\(718\) | −5.89692 | − | 10.2138i | −0.220071 | − | 0.381175i | ||||
\(719\) | 5.57126 | + | 9.64970i | 0.207773 | + | 0.359873i | 0.951013 | − | 0.309152i | \(-0.100045\pi\) |
−0.743240 | + | 0.669025i | \(0.766712\pi\) | |||||||
\(720\) | 7.56580 | − | 27.6201i | 0.281961 | − | 1.02934i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.75544 | + | 4.77256i | −0.102547 | + | 0.177616i | ||||
\(723\) | −23.0245 | + | 17.5657i | −0.856290 | + | 0.653277i | ||||
\(724\) | 19.7453 | 0.733828 | ||||||||
\(725\) | −35.7715 | −1.32852 | ||||||||
\(726\) | −8.08689 | − | 3.37609i | −0.300132 | − | 0.125299i | ||||
\(727\) | 14.3410 | − | 24.8393i | 0.531878 | − | 0.921239i | −0.467430 | − | 0.884030i | \(-0.654820\pi\) |
0.999308 | − | 0.0372089i | \(-0.0118467\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.4080 | + | 18.7704i | −0.718815 | + | 0.695202i | ||||
\(730\) | −1.67588 | − | 2.90270i | −0.0620269 | − | 0.107434i | ||||
\(731\) | 1.24724 | + | 2.16028i | 0.0461307 | + | 0.0799007i | ||||
\(732\) | 4.19396 | + | 32.5562i | 0.155013 | + | 1.20331i | ||||
\(733\) | −12.5264 | + | 21.6964i | −0.462674 | + | 0.801375i | −0.999093 | − | 0.0425768i | \(-0.986443\pi\) |
0.536419 | + | 0.843952i | \(0.319777\pi\) | |||||||
\(734\) | 0.171071 | + | 0.296303i | 0.00631433 | + | 0.0109367i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.20047 | − | 10.7395i | 0.228552 | − | 0.395864i | ||||
\(737\) | 0.459391 | + | 0.795689i | 0.0169219 | + | 0.0293096i | ||||
\(738\) | 5.00194 | + | 5.05793i | 0.184124 | + | 0.186185i | ||||
\(739\) | 13.7608 | − | 23.8344i | 0.506198 | − | 0.876761i | −0.493776 | − | 0.869589i | \(-0.664384\pi\) |
0.999974 | − | 0.00717223i | \(-0.00228301\pi\) | |||||||
\(740\) | −30.6460 | −1.12657 | ||||||||
\(741\) | −5.37158 | − | 2.24252i | −0.197330 | − | 0.0823809i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.00608 | − | 12.1349i | −0.257028 | − | 0.445186i | 0.708416 | − | 0.705795i | \(-0.249410\pi\) |
−0.965444 | + | 0.260609i | \(0.916077\pi\) | |||||||
\(744\) | −1.47693 | − | 11.4648i | −0.0541467 | − | 0.420321i | ||||
\(745\) | −38.8163 | − | 67.2318i | −1.42212 | − | 2.46318i | ||||
\(746\) | −0.932261 | + | 1.61472i | −0.0341325 | + | 0.0591192i | ||||
\(747\) | 9.76698 | − | 35.6558i | 0.357355 | − | 1.30458i | ||||
\(748\) | −0.391390 | −0.0143106 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.47297 | − | 11.4342i | −0.0537854 | − | 0.417516i | ||||
\(751\) | 26.1297 | − | 45.2580i | 0.953486 | − | 1.65149i | 0.215692 | − | 0.976461i | \(-0.430799\pi\) |
0.737795 | − | 0.675025i | \(-0.235867\pi\) | |||||||
\(752\) | 26.2989 | 0.959021 | ||||||||
\(753\) | 1.88789 | + | 14.6550i | 0.0687986 | + | 0.534058i | ||||
\(754\) | 2.45824 | 0.0895237 | ||||||||
\(755\) | 5.53289 | 0.201363 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −43.3447 | −1.57539 | −0.787694 | − | 0.616066i | \(-0.788725\pi\) | ||||
−0.787694 | + | 0.616066i | \(0.788725\pi\) | |||||||
\(758\) | −16.3009 | −0.592077 | ||||||||
\(759\) | −0.489408 | − | 3.79909i | −0.0177644 | − | 0.137898i | ||||
\(760\) | 19.3038 | 0.700223 | ||||||||
\(761\) | −8.62550 | + | 14.9398i | −0.312674 | + | 0.541568i | −0.978940 | − | 0.204146i | \(-0.934558\pi\) |
0.666266 | + | 0.745714i | \(0.267891\pi\) | |||||||
\(762\) | 0.139304 | + | 1.08137i | 0.00504646 | + | 0.0391738i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 41.8285 | 1.51330 | ||||||||
\(765\) | −1.94722 | − | 1.96902i | −0.0704020 | − | 0.0711901i | ||||
\(766\) | 0.265952 | − | 0.460642i | 0.00960922 | − | 0.0166437i | ||||
\(767\) | 1.08444 | + | 1.87831i | 0.0391570 | + | 0.0678218i | ||||
\(768\) | −0.0548204 | − | 0.425550i | −0.00197816 | − | 0.0153557i | ||||
\(769\) | 10.6727 | + | 18.4856i | 0.384867 | + | 0.666609i | 0.991751 | − | 0.128182i | \(-0.0409141\pi\) |
−0.606884 | + | 0.794790i | \(0.707581\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.3634 | − | 11.4236i | −0.985469 | − | 0.411411i | ||||
\(772\) | −10.4099 | −0.374660 | ||||||||
\(773\) | 6.57357 | − | 11.3858i | 0.236435 | − | 0.409517i | −0.723254 | − | 0.690582i | \(-0.757354\pi\) |
0.959689 | + | 0.281065i | \(0.0906877\pi\) | |||||||
\(774\) | −3.92170 | + | 14.3168i | −0.140963 | + | 0.514605i | ||||
\(775\) | 15.4791 | + | 26.8106i | 0.556027 | + | 0.963066i | ||||
\(776\) | −10.2796 | + | 17.8049i | −0.369018 | + | 0.639158i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.88685 | − | 10.1963i | −0.211054 | − | 0.365556i | ||||
\(779\) | 6.71439 | − | 11.6297i | 0.240568 | − | 0.416676i | ||||
\(780\) | −1.71536 | − | 13.3157i | −0.0614197 | − | 0.476778i | ||||
\(781\) | −2.20702 | − | 3.82268i | −0.0789735 | − | 0.136786i | ||||
\(782\) | −0.153567 | − | 0.265986i | −0.00549155 | − | 0.00951164i | ||||
\(783\) | −21.3170 | − | 2.98769i | −0.761807 | − | 0.106771i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −30.7954 | + | 53.3393i | −1.09914 | + | 1.90376i | ||||
\(786\) | 11.9115 | + | 4.97279i | 0.424869 | + | 0.177373i | ||||
\(787\) | 28.1301 | 1.00273 | 0.501364 | − | 0.865236i | \(-0.332832\pi\) | ||||
0.501364 | + | 0.865236i | \(0.332832\pi\) | |||||||
\(788\) | 27.1330 | 0.966573 | ||||||||
\(789\) | 28.3022 | − | 21.5922i | 1.00758 | − | 0.768701i | ||||
\(790\) | −1.64713 | + | 2.85291i | −0.0586021 | + | 0.101502i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.50502 | − | 3.54426i | −0.124546 | − | 0.125940i | ||||
\(793\) | 6.46470 | + | 11.1972i | 0.229568 | + | 0.397624i | ||||
\(794\) | −0.00795814 | − | 0.0137839i | −0.000282424 | − | 0.000489172i | ||||
\(795\) | 50.2860 | − | 38.3639i | 1.78346 | − | 1.36063i | ||||
\(796\) | 13.5912 | − | 23.5406i | 0.481727 | − | 0.834376i | ||||
\(797\) | −12.8683 | − | 22.2885i | −0.455817 | − | 0.789499i | 0.542917 | − | 0.839786i | \(-0.317320\pi\) |
−0.998735 | + | 0.0502873i | \(0.983986\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.27155 | − | 2.20238i | 0.0449841 | − | 0.0779147i | ||||
\(800\) | 21.6094 | + | 37.4285i | 0.764007 | + | 1.32330i | ||||
\(801\) | −5.07838 | − | 5.13523i | −0.179436 | − | 0.181444i | ||||
\(802\) | 6.08073 | − | 10.5321i | 0.214718 | − | 0.371902i | ||||
\(803\) | 1.63387 | 0.0576580 | ||||||||
\(804\) | −0.399583 | − | 3.10181i | −0.0140922 | − | 0.109393i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.06373 | − | 1.84244i | −0.0374684 | − | 0.0648972i | ||||
\(807\) | −31.7199 | − | 13.2423i | −1.11659 | − | 0.466153i | ||||
\(808\) | −2.41968 | − | 4.19100i | −0.0851240 | − | 0.147439i | ||||
\(809\) | 15.9353 | − | 27.6007i | 0.560254 | − | 0.970388i | −0.437220 | − | 0.899355i | \(-0.644037\pi\) |
0.997474 | − | 0.0710338i | \(-0.0226298\pi\) | |||||||
\(810\) | 0.183441 | − | 16.4783i | 0.00644544 | − | 0.578988i | ||||
\(811\) | −43.3860 | −1.52349 | −0.761744 | − | 0.647878i | \(-0.775657\pi\) | ||||
−0.761744 | + | 0.647878i | \(0.775657\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 14.6534 | − | 11.1793i | 0.513918 | − | 0.392076i | ||||
\(814\) | −1.04704 | + | 1.81353i | −0.0366987 | + | 0.0635641i | ||||
\(815\) | 24.6764 | 0.864375 | ||||||||
\(816\) | 1.03293 | + | 0.431223i | 0.0361596 | + | 0.0150958i | ||||
\(817\) | 28.0226 | 0.980385 | ||||||||
\(818\) | 13.2842 | 0.464470 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 30.9731 | 1.08163 | ||||||||
\(821\) | −16.3935 | −0.572139 | −0.286069 | − | 0.958209i | \(-0.592349\pi\) | ||||
−0.286069 | + | 0.958209i | \(0.592349\pi\) | |||||||
\(822\) | 0.333562 | − | 0.254479i | 0.0116343 | − | 0.00887598i | ||||
\(823\) | −26.3780 | −0.919478 | −0.459739 | − | 0.888054i | \(-0.652057\pi\) | ||||
−0.459739 | + | 0.888054i | \(0.652057\pi\) | |||||||
\(824\) | 9.03925 | − | 15.6564i | 0.314897 | − | 0.545418i | ||||
\(825\) | 12.3193 | + | 5.14301i | 0.428901 | + | 0.179057i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.7225 | 1.27697 | 0.638484 | − | 0.769635i | \(-0.279562\pi\) | ||||
0.638484 | + | 0.769635i | \(0.279562\pi\) | |||||||
\(828\) | −3.44468 | + | 12.5753i | −0.119711 | + | 0.437023i | ||||
\(829\) | −12.1579 | + | 21.0581i | −0.422261 | + | 0.731377i | −0.996160 | − | 0.0875485i | \(-0.972097\pi\) |
0.573899 | + | 0.818926i | \(0.305430\pi\) | |||||||
\(830\) | 11.2820 | + | 19.5410i | 0.391604 | + | 0.678279i | ||||
\(831\) | −34.2630 | + | 26.1398i | −1.18857 | + | 0.906779i | ||||
\(832\) | 1.60867 | + | 2.78629i | 0.0557705 | + | 0.0965974i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.73944 | − | 5.14162i | 0.233368 | − | 0.178040i | ||||
\(835\) | 65.1038 | 2.25301 | ||||||||
\(836\) | −2.19841 | + | 3.80776i | −0.0760337 | + | 0.131694i | ||||
\(837\) | 6.98506 | + | 17.2698i | 0.241439 | + | 0.596933i | ||||
\(838\) | −5.21962 | − | 9.04065i | −0.180309 | − | 0.312304i | ||||
\(839\) | 12.8405 | − | 22.2404i | 0.443303 | − | 0.767824i | −0.554629 | − | 0.832098i | \(-0.687140\pi\) |
0.997932 | + | 0.0642741i | \(0.0204732\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.91963 | + | 10.2531i | 0.204125 | + | 0.353555i | ||||
\(842\) | 3.69190 | − | 6.39456i | 0.127231 | − | 0.220371i | ||||
\(843\) | −21.8570 | − | 9.12480i | −0.752794 | − | 0.314275i | ||||
\(844\) | −1.35400 | − | 2.34519i | −0.0466065 | − | 0.0807249i | ||||
\(845\) | 21.3577 | + | 36.9926i | 0.734726 | + | 1.27258i | ||||
\(846\) | 14.6394 | − | 3.83542i | 0.503313 | − | 0.131864i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −12.7826 | + | 22.1402i | −0.438958 | + | 0.760297i | ||||
\(849\) | −1.39900 | − | 10.8599i | −0.0480135 | − | 0.372711i | ||||
\(850\) | 1.07040 | 0.0367144 | ||||||||
\(851\) | 11.7230 | 0.401858 | ||||||||
\(852\) | 1.91969 | + | 14.9018i | 0.0657675 | + | 0.510529i | ||||
\(853\) | −14.4872 | + | 25.0925i | −0.496031 | + | 0.859150i | −0.999990 | − | 0.00457743i | \(-0.998543\pi\) |
0.503959 | + | 0.863728i | \(0.331876\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −30.0937 | + | 7.88431i | −1.02918 | + | 0.269638i | ||||
\(856\) | −10.1459 | − | 17.5732i | −0.346780 | − | 0.600640i | ||||
\(857\) | −12.6934 | − | 21.9856i | −0.433598 | − | 0.751015i | 0.563582 | − | 0.826060i | \(-0.309423\pi\) |
−0.997180 | + | 0.0750458i | \(0.976090\pi\) | |||||||
\(858\) | −0.846585 | − | 0.353430i | −0.0289019 | − | 0.0120659i | ||||
\(859\) | −2.97891 | + | 5.15963i | −0.101639 | + | 0.176044i | −0.912360 | − | 0.409388i | \(-0.865742\pi\) |
0.810721 | + | 0.585433i | \(0.199075\pi\) | |||||||
\(860\) | 32.3166 | + | 55.9740i | 1.10199 | + | 1.90870i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.94310 | − | 6.82966i | 0.134303 | − | 0.232619i | ||||
\(863\) | 8.19545 | + | 14.1949i | 0.278977 | + | 0.483201i | 0.971131 | − | 0.238548i | \(-0.0766715\pi\) |
−0.692154 | + | 0.721750i | \(0.743338\pi\) | |||||||
\(864\) | 9.75138 | + | 24.1093i | 0.331749 | + | 0.820214i | ||||
\(865\) | −7.17624 | + | 12.4296i | −0.244000 | + | 0.422620i | ||||
\(866\) | −8.11528 | −0.275768 | ||||||||
\(867\) | −23.3239 | + | 17.7942i | −0.792122 | + | 0.604322i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.802920 | − | 1.39070i | −0.0272372 | − | 0.0471762i | ||||
\(870\) | 10.4452 | − | 7.96879i | 0.354125 | − | 0.270167i | ||||
\(871\) | −0.615929 | − | 1.06682i | −0.0208700 | − | 0.0361478i | ||||
\(872\) | −1.97503 | + | 3.42086i | −0.0668830 | + | 0.115845i | ||||
\(873\) | 8.75335 | − | 31.9554i | 0.296256 | − | 1.08153i | ||||
\(874\) | −3.45030 | −0.116708 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.13224 | − | 2.14260i | −0.173402 | − | 0.0723916i | ||||
\(877\) | −17.6270 | + | 30.5308i | −0.595220 | + | 1.03095i | 0.398295 | + | 0.917257i | \(0.369602\pi\) |
−0.993516 | + | 0.113695i | \(0.963731\pi\) | |||||||
\(878\) | −7.70813 | −0.260137 | ||||||||
\(879\) | −3.62188 | + | 2.76318i | −0.122163 | + | 0.0931998i | ||||
\(880\) | −8.52033 | −0.287220 | ||||||||
\(881\) | −26.2582 | −0.884661 | −0.442331 | − | 0.896852i | \(-0.645848\pi\) | ||||
−0.442331 | + | 0.896852i | \(0.645848\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.0087 | 0.336821 | 0.168410 | − | 0.985717i | \(-0.446137\pi\) | ||||
0.168410 | + | 0.985717i | \(0.446137\pi\) | |||||||
\(884\) | 0.524756 | 0.0176495 | ||||||||
\(885\) | 10.6967 | + | 4.46564i | 0.359566 | + | 0.150111i | ||||
\(886\) | −0.887631 | −0.0298205 | ||||||||
\(887\) | −7.95282 | + | 13.7747i | −0.267030 | + | 0.462509i | −0.968093 | − | 0.250590i | \(-0.919376\pi\) |
0.701064 | + | 0.713099i | \(0.252709\pi\) | |||||||
\(888\) | 12.1286 | − | 9.25311i | 0.407010 | − | 0.310514i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.40804 | 0.147758 | ||||||||
\(891\) | 6.91174 | + | 4.09375i | 0.231552 | + | 0.137146i | ||||
\(892\) | −4.77419 | + | 8.26914i | −0.159852 | + | 0.276871i | ||||
\(893\) | −14.2844 | − | 24.7413i | −0.478009 | − | 0.827935i | ||||
\(894\) | 16.6630 | + | 6.95645i | 0.557295 | + | 0.232658i | ||||
\(895\) | 13.5428 | + | 23.4569i | 0.452687 | + | 0.784077i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.656173 | + | 5.09363i | 0.0219090 | + | 0.170071i | ||||
\(898\) | −6.72727 | −0.224492 | ||||||||
\(899\) | −7.42583 | + | 12.8619i | −0.247665 | + | 0.428969i | ||||
\(900\) | −31.9524 | − | 32.3100i | −1.06508 | − | 1.07700i | ||||
\(901\) | 1.23608 | + | 2.14095i | 0.0411797 | + | 0.0713253i | ||||
\(902\) | 1.05822 | − | 1.83288i | 0.0352348 | − | 0.0610284i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.7307 | + | 25.5144i | 0.489937 | + | 0.848597i | ||||
\(905\) | 20.7829 | − | 35.9970i | 0.690846 | − | 1.19658i | ||||
\(906\) | −1.02315 | + | 0.780579i | −0.0339920 | + | 0.0259330i | ||||
\(907\) | 8.54624 | + | 14.8025i | 0.283773 | + | 0.491510i | 0.972311 | − | 0.233691i | \(-0.0750804\pi\) |
−0.688538 | + | 0.725201i | \(0.741747\pi\) | |||||||
\(908\) | 14.0999 | + | 24.4217i | 0.467922 | + | 0.810464i | ||||
\(909\) | 5.48390 | + | 5.54528i | 0.181889 | + | 0.183925i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.9435 | − | 25.8829i | 0.495099 | − | 0.857537i | −0.504885 | − | 0.863187i | \(-0.668465\pi\) |
0.999984 | + | 0.00564955i | \(0.00179832\pi\) | |||||||
\(912\) | 9.99717 | − | 7.62699i | 0.331039 | − | 0.252555i | ||||
\(913\) | −10.9992 | −0.364021 | ||||||||
\(914\) | −1.27397 | −0.0421393 | ||||||||
\(915\) | 63.7664 | + | 26.6211i | 2.10805 | + | 0.880065i | ||||
\(916\) | 8.74286 | − | 15.1431i | 0.288872 | − | 0.500341i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0.637873 | + | 0.0894015i | 0.0210530 | + | 0.00295069i | ||||
\(919\) | 11.8283 | + | 20.4873i | 0.390181 | + | 0.675813i | 0.992473 | − | 0.122462i | \(-0.0390791\pi\) |
−0.602292 | + | 0.798276i | \(0.705746\pi\) | |||||||
\(920\) | −8.51579 | − | 14.7498i | −0.280757 | − | 0.486286i | ||||
\(921\) | 0.618519 | + | 4.80133i | 0.0203809 | + | 0.158209i | ||||
\(922\) | 8.97196 | − | 15.5399i | 0.295476 | − | 0.511779i | ||||
\(923\) | 2.95907 | + | 5.12525i | 0.0973989 | + | 0.168700i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.4280 | + | 35.3823i | −0.671667 | + | 1.16336i | ||||
\(926\) | −4.06227 | − | 7.03606i | −0.133495 | − | 0.231219i | ||||
\(927\) | −7.69712 | + | 28.0995i | −0.252807 | + | 0.922909i | ||||
\(928\) | −10.3667 | + | 17.9557i | −0.340304 | + | 0.589423i | ||||
\(929\) | −12.6176 | −0.413970 | −0.206985 | − | 0.978344i | \(-0.566365\pi\) | ||||
−0.206985 | + | 0.978344i | \(0.566365\pi\) | |||||||
\(930\) | −10.4924 | − | 4.38036i | −0.344061 | − | 0.143638i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −14.5073 | − | 25.1274i | −0.475203 | − | 0.823075i | ||||
\(933\) | 3.34166 | + | 25.9401i | 0.109401 | + | 0.849240i | ||||
\(934\) | −2.15714 | − | 3.73627i | −0.0705836 | − | 0.122254i | ||||
\(935\) | −0.411957 | + | 0.713530i | −0.0134724 | + | 0.0233349i | ||||
\(936\) | 4.69936 | + | 4.75196i | 0.153603 | + | 0.155323i | ||||
\(937\) | 26.3440 | 0.860622 | 0.430311 | − | 0.902681i | \(-0.358404\pi\) | ||||
0.430311 | + | 0.902681i | \(0.358404\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 5.63834 | + | 43.7683i | 0.184000 | + | 1.42833i | ||||
\(940\) | 32.9465 | − | 57.0651i | 1.07460 | − | 1.86126i | ||||
\(941\) | −50.9397 | −1.66059 | −0.830294 | − | 0.557326i | \(-0.811827\pi\) | ||||
−0.830294 | + | 0.557326i | \(0.811827\pi\) | |||||||
\(942\) | −1.83034 | − | 14.2082i | −0.0596356 | − | 0.462929i | ||||
\(943\) | −11.8481 | −0.385827 | ||||||||
\(944\) | −4.68525 | −0.152492 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.41648 | 0.143592 | ||||||||
\(947\) | 27.6798 | 0.899474 | 0.449737 | − | 0.893161i | \(-0.351518\pi\) | ||||
0.449737 | + | 0.893161i | \(0.351518\pi\) | |||||||
\(948\) | 0.698388 | + | 5.42133i | 0.0226826 | + | 0.176076i | ||||
\(949\) | −2.19061 | −0.0711102 | ||||||||
\(950\) | 6.01236 | − | 10.4137i | 0.195067 | − | 0.337866i | ||||
\(951\) | 7.19682 | + | 55.8662i | 0.233373 | + | 1.81159i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −27.4017 | −0.887628 | −0.443814 | − | 0.896119i | \(-0.646375\pi\) | ||||
−0.443814 | + | 0.896119i | \(0.646375\pi\) | |||||||
\(954\) | −3.88661 | + | 14.1887i | −0.125834 | + | 0.459375i | ||||
\(955\) | 44.0265 | − | 76.2561i | 1.42466 | − | 2.46759i | ||||
\(956\) | 19.3162 | + | 33.4567i | 0.624731 | + | 1.08207i | ||||
\(957\) | 0.818252 | + | 6.35179i | 0.0264503 | + | 0.205324i | ||||
\(958\) | 4.40515 | + | 7.62994i | 0.142324 | + | 0.246512i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 15.8676 | + | 6.62436i | 0.512123 | + | 0.213800i | ||||
\(961\) | −18.1467 | −0.585378 | ||||||||
\(962\) | 1.40382 | − | 2.43149i | 0.0452610 | − | 0.0783943i | ||||
\(963\) | 22.9944 | + | 23.2518i | 0.740984 | + | 0.749279i | ||||
\(964\) | −14.6645 | − | 25.3996i | −0.472310 | − | 0.818066i | ||||
\(965\) | −10.9569 | + | 18.9779i | −0.352715 | + | 0.610921i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.09069 | + | 15.7455i | 0.292337 | + | 0.506342i | 0.974362 | − | 0.224986i | \(-0.0722338\pi\) |
−0.682025 | + | 0.731329i | \(0.738900\pi\) | |||||||
\(968\) | 9.49698 | − | 16.4492i | 0.305244 | − | 0.528699i | ||||
\(969\) | −0.155356 | − | 1.20597i | −0.00499075 | − | 0.0387413i | ||||
\(970\) | 10.1111 | + | 17.5130i | 0.324649 | + | 0.562309i | ||||
\(971\) | −19.7416 | − | 34.1935i | −0.633538 | − | 1.09732i | −0.986823 | − | 0.161804i | \(-0.948269\pi\) |
0.353285 | − | 0.935516i | \(-0.385065\pi\) | |||||||
\(972\) | −16.3425 | − | 21.9229i | −0.524185 | − | 0.703178i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.12941 | + | 7.15234i | −0.132315 | + | 0.229176i | ||||
\(975\) | −16.5170 | − | 6.89549i | −0.528968 | − | 0.220833i | ||||
\(976\) | −27.9302 | −0.894024 | ||||||||
\(977\) | 11.9156 | 0.381215 | 0.190608 | − | 0.981666i | \(-0.438954\pi\) | ||||
0.190608 | + | 0.981666i | \(0.438954\pi\) | |||||||
\(978\) | −4.56320 | + | 3.48133i | −0.145915 | + | 0.111321i | ||||
\(979\) | −1.07439 | + | 1.86090i | −0.0343376 | + | 0.0594745i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.68178 | − | 6.13961i | 0.0536952 | − | 0.196023i | ||||
\(982\) | 1.59184 | + | 2.75715i | 0.0507977 | + | 0.0879842i | ||||
\(983\) | −9.23896 | − | 16.0024i | −0.294677 | − | 0.510396i | 0.680233 | − | 0.732996i | \(-0.261879\pi\) |
−0.974910 | + | 0.222601i | \(0.928545\pi\) | |||||||
\(984\) | −12.2581 | + | 9.35187i | −0.390773 | + | 0.298127i | ||||
\(985\) | 28.5588 | − | 49.4653i | 0.909959 | − | 1.57609i | ||||
\(986\) | 0.256752 | + | 0.444708i | 0.00817666 | + | 0.0141624i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.94752 | − | 5.10525i | 0.0937731 | − | 0.162420i | ||||
\(989\) | −12.3620 | − | 21.4117i | −0.393090 | − | 0.680851i | ||||
\(990\) | −4.74289 | + | 1.24260i | −0.150739 | + | 0.0394925i | ||||
\(991\) | −6.34850 | + | 10.9959i | −0.201667 | + | 0.349297i | −0.949066 | − | 0.315079i | \(-0.897969\pi\) |
0.747399 | + | 0.664376i | \(0.231302\pi\) | |||||||
\(992\) | 17.9436 | 0.569710 | ||||||||
\(993\) | 4.00435 | + | 31.0843i | 0.127074 | + | 0.986430i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −28.6108 | − | 49.5553i | −0.907023 | − | 1.57101i | ||||
\(996\) | 34.5503 | + | 14.4240i | 1.09477 | + | 0.457041i | ||||
\(997\) | 20.9767 | + | 36.3327i | 0.664338 | + | 1.15067i | 0.979464 | + | 0.201617i | \(0.0646197\pi\) |
−0.315127 | + | 0.949050i | \(0.602047\pi\) | |||||||
\(998\) | 2.76345 | − | 4.78644i | 0.0874755 | − | 0.151512i | ||||
\(999\) | −15.1286 | + | 19.3788i | −0.478648 | + | 0.613119i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))