Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(83,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 197.1 | ||
Root | \(0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.197 |
Dual form | 570.2.v.a.353.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | 0.158919 | − | 1.72474i | 0.0917517 | − | 0.995782i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 0.448288 | + | 2.19067i | 0.200480 | + | 0.979698i | ||||
\(6\) | −0.599900 | + | 1.62484i | −0.244908 | + | 0.663340i | ||||
\(7\) | −2.12132 | − | 2.12132i | −0.801784 | − | 0.801784i | 0.181591 | − | 0.983374i | \(-0.441875\pi\) |
−0.983374 | + | 0.181591i | \(0.941875\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −2.94949 | − | 0.548188i | −0.983163 | − | 0.182729i | ||||
\(10\) | 0.133975 | − | 2.23205i | 0.0423665 | − | 0.705836i | ||||
\(11\) | 5.82843i | 1.75734i | 0.477432 | + | 0.878668i | \(0.341568\pi\) | ||||
−0.477432 | + | 0.878668i | \(0.658432\pi\) | |||||||
\(12\) | 1.00000 | − | 1.41421i | 0.288675 | − | 0.408248i | ||||
\(13\) | −0.732051 | − | 2.73205i | −0.203034 | − | 0.757735i | −0.990040 | − | 0.140788i | \(-0.955036\pi\) |
0.787005 | − | 0.616946i | \(-0.211630\pi\) | |||||||
\(14\) | 1.50000 | + | 2.59808i | 0.400892 | + | 0.694365i | ||||
\(15\) | 3.84959 | − | 0.425044i | 0.993960 | − | 0.109746i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −6.02993 | − | 1.61571i | −1.46247 | − | 0.391868i | −0.562129 | − | 0.827049i | \(-0.690018\pi\) |
−0.900343 | + | 0.435181i | \(0.856684\pi\) | |||||||
\(18\) | 2.70711 | + | 1.29289i | 0.638071 | + | 0.304738i | ||||
\(19\) | −4.33013 | + | 0.500000i | −0.993399 | + | 0.114708i | ||||
\(20\) | −0.707107 | + | 2.12132i | −0.158114 | + | 0.474342i | ||||
\(21\) | −3.99585 | + | 3.32162i | −0.871967 | + | 0.724837i | ||||
\(22\) | 1.50851 | − | 5.62983i | 0.321615 | − | 1.20028i | ||||
\(23\) | −2.89778 | + | 0.776457i | −0.604228 | + | 0.161903i | −0.547948 | − | 0.836512i | \(-0.684591\pi\) |
−0.0562805 | + | 0.998415i | \(0.517924\pi\) | |||||||
\(24\) | −1.33195 | + | 1.10721i | −0.271883 | + | 0.226008i | ||||
\(25\) | −4.59808 | + | 1.96410i | −0.919615 | + | 0.392820i | ||||
\(26\) | 2.82843i | 0.554700i | ||||||||
\(27\) | −1.41421 | + | 5.00000i | −0.272166 | + | 0.962250i | ||||
\(28\) | −0.776457 | − | 2.89778i | −0.146737 | − | 0.547628i | ||||
\(29\) | 4.41421 | − | 7.64564i | 0.819699 | − | 1.41976i | −0.0862053 | − | 0.996277i | \(-0.527474\pi\) |
0.905904 | − | 0.423483i | \(-0.139193\pi\) | |||||||
\(30\) | −3.82843 | − | 0.585786i | −0.698972 | − | 0.106949i | ||||
\(31\) | −2.24264 | −0.402790 | −0.201395 | − | 0.979510i | \(-0.564548\pi\) | ||||
−0.201395 | + | 0.979510i | \(0.564548\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 10.0525 | + | 0.926246i | 1.74992 | + | 0.161239i | ||||
\(34\) | 5.40629 | + | 3.12132i | 0.927170 | + | 0.535302i | ||||
\(35\) | 3.69615 | − | 5.59808i | 0.624764 | − | 0.946248i | ||||
\(36\) | −2.28024 | − | 1.94949i | −0.380040 | − | 0.324915i | ||||
\(37\) | 2.12132 | + | 2.12132i | 0.348743 | + | 0.348743i | 0.859641 | − | 0.510898i | \(-0.170687\pi\) |
−0.510898 | + | 0.859641i | \(0.670687\pi\) | |||||||
\(38\) | 4.31199 | + | 0.637756i | 0.699497 | + | 0.103458i | ||||
\(39\) | −4.82843 | + | 0.828427i | −0.773167 | + | 0.132655i | ||||
\(40\) | 1.23205 | − | 1.86603i | 0.194804 | − | 0.295045i | ||||
\(41\) | −2.59808 | + | 1.50000i | −0.405751 | + | 0.234261i | −0.688963 | − | 0.724797i | \(-0.741934\pi\) |
0.283211 | + | 0.959058i | \(0.408600\pi\) | |||||||
\(42\) | 4.71940 | − | 2.17423i | 0.728219 | − | 0.335492i | ||||
\(43\) | −4.09808 | − | 1.09808i | −0.624951 | − | 0.167455i | −0.0675734 | − | 0.997714i | \(-0.521526\pi\) |
−0.557377 | + | 0.830259i | \(0.688192\pi\) | |||||||
\(44\) | −2.91421 | + | 5.04757i | −0.439334 | + | 0.760949i | ||||
\(45\) | −0.121320 | − | 6.70711i | −0.0180854 | − | 0.999836i | ||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 2.71379 | + | 10.1280i | 0.395847 | + | 1.47732i | 0.820333 | + | 0.571887i | \(0.193788\pi\) |
−0.424486 | + | 0.905435i | \(0.639545\pi\) | |||||||
\(48\) | 1.57313 | − | 0.724745i | 0.227062 | − | 0.104608i | ||||
\(49\) | 2.00000i | 0.285714i | ||||||||
\(50\) | 4.94975 | − | 0.707107i | 0.700000 | − | 0.100000i | ||||
\(51\) | −3.74496 | + | 10.1433i | −0.524400 | + | 1.42035i | ||||
\(52\) | 0.732051 | − | 2.73205i | 0.101517 | − | 0.378867i | ||||
\(53\) | −7.23023 | + | 1.93733i | −0.993148 | + | 0.266113i | −0.718572 | − | 0.695452i | \(-0.755204\pi\) |
−0.274576 | + | 0.961565i | \(0.588537\pi\) | |||||||
\(54\) | 2.66012 | − | 4.46360i | 0.361997 | − | 0.607420i | ||||
\(55\) | −12.7682 | + | 2.61281i | −1.72166 | + | 0.352312i | ||||
\(56\) | 3.00000i | 0.400892i | ||||||||
\(57\) | 0.174235 | + | 7.54782i | 0.0230779 | + | 0.999734i | ||||
\(58\) | −6.24264 | + | 6.24264i | −0.819699 | + | 0.819699i | ||||
\(59\) | 2.82843 | + | 4.89898i | 0.368230 | + | 0.637793i | 0.989289 | − | 0.145971i | \(-0.0466306\pi\) |
−0.621059 | + | 0.783764i | \(0.713297\pi\) | |||||||
\(60\) | 3.54636 | + | 1.55670i | 0.457834 | + | 0.200969i | ||||
\(61\) | 3.12132 | − | 5.40629i | 0.399644 | − | 0.692204i | −0.594038 | − | 0.804437i | \(-0.702467\pi\) |
0.993682 | + | 0.112233i | \(0.0358004\pi\) | |||||||
\(62\) | 2.16622 | + | 0.580438i | 0.275111 | + | 0.0737157i | ||||
\(63\) | 5.09393 | + | 7.41970i | 0.641775 | + | 0.934794i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 5.65685 | − | 2.82843i | 0.701646 | − | 0.350823i | ||||
\(66\) | −9.47029 | − | 3.49648i | −1.16571 | − | 0.430386i | ||||
\(67\) | 5.46410 | − | 1.46410i | 0.667546 | − | 0.178868i | 0.0908970 | − | 0.995860i | \(-0.471027\pi\) |
0.576649 | + | 0.816992i | \(0.304360\pi\) | |||||||
\(68\) | −4.41421 | − | 4.41421i | −0.535302 | − | 0.535302i | ||||
\(69\) | 0.878680 | + | 5.12132i | 0.105781 | + | 0.616535i | ||||
\(70\) | −5.01910 | + | 4.45069i | −0.599897 | + | 0.531959i | ||||
\(71\) | −11.6170 | + | 6.70711i | −1.37869 | + | 0.795987i | −0.992002 | − | 0.126223i | \(-0.959714\pi\) |
−0.386688 | + | 0.922210i | \(0.626381\pi\) | |||||||
\(72\) | 1.69798 | + | 2.47323i | 0.200108 | + | 0.291473i | ||||
\(73\) | 7.49303 | + | 2.00775i | 0.876993 | + | 0.234990i | 0.669109 | − | 0.743164i | \(-0.266676\pi\) |
0.207884 | + | 0.978154i | \(0.433342\pi\) | |||||||
\(74\) | −1.50000 | − | 2.59808i | −0.174371 | − | 0.302020i | ||||
\(75\) | 2.65685 | + | 8.24264i | 0.306787 | + | 0.951778i | ||||
\(76\) | −4.00000 | − | 1.73205i | −0.458831 | − | 0.198680i | ||||
\(77\) | 12.3640 | − | 12.3640i | 1.40900 | − | 1.40900i | ||||
\(78\) | 4.87832 | + | 0.449490i | 0.552360 | + | 0.0508947i | ||||
\(79\) | −9.08052 | + | 5.24264i | −1.02164 | + | 0.589843i | −0.914578 | − | 0.404409i | \(-0.867477\pi\) |
−0.107060 | + | 0.994253i | \(0.534144\pi\) | |||||||
\(80\) | −1.67303 | + | 1.48356i | −0.187051 | + | 0.165867i | ||||
\(81\) | 8.39898 | + | 3.23375i | 0.933220 | + | 0.359306i | ||||
\(82\) | 2.89778 | − | 0.776457i | 0.320006 | − | 0.0857453i | ||||
\(83\) | −3.00000 | − | 3.00000i | −0.329293 | − | 0.329293i | 0.523025 | − | 0.852318i | \(-0.324804\pi\) |
−0.852318 | + | 0.523025i | \(0.824804\pi\) | |||||||
\(84\) | −5.12132 | + | 0.878680i | −0.558782 | + | 0.0958718i | ||||
\(85\) | 0.836355 | − | 13.9339i | 0.0907155 | − | 1.51134i | ||||
\(86\) | 3.67423 | + | 2.12132i | 0.396203 | + | 0.228748i | ||||
\(87\) | −12.4853 | − | 8.82843i | −1.33856 | − | 0.946507i | ||||
\(88\) | 4.12132 | − | 4.12132i | 0.439334 | − | 0.439334i | ||||
\(89\) | 3.08579 | − | 5.34474i | 0.327093 | − | 0.566541i | −0.654841 | − | 0.755767i | \(-0.727264\pi\) |
0.981934 | + | 0.189226i | \(0.0605977\pi\) | |||||||
\(90\) | −1.61874 | + | 6.50997i | −0.170630 | + | 0.686211i | ||||
\(91\) | −4.24264 | + | 7.34847i | −0.444750 | + | 0.770329i | ||||
\(92\) | −2.89778 | − | 0.776457i | −0.302114 | − | 0.0809513i | ||||
\(93\) | −0.356397 | + | 3.86798i | −0.0369567 | + | 0.401091i | ||||
\(94\) | − | 10.4853i | − | 1.08147i | ||||||
\(95\) | −3.03648 | − | 9.26174i | −0.311536 | − | 0.950234i | ||||
\(96\) | −1.70711 | + | 0.292893i | −0.174231 | + | 0.0298933i | ||||
\(97\) | 0.643238 | − | 2.40060i | 0.0653109 | − | 0.243744i | −0.925551 | − | 0.378623i | \(-0.876398\pi\) |
0.990862 | + | 0.134879i | \(0.0430645\pi\) | |||||||
\(98\) | 0.517638 | − | 1.93185i | 0.0522893 | − | 0.195146i | ||||
\(99\) | 3.19507 | − | 17.1909i | 0.321117 | − | 1.72775i | ||||
\(100\) | −4.96410 | − | 0.598076i | −0.496410 | − | 0.0598076i | ||||
\(101\) | 4.60181 | + | 2.65685i | 0.457897 | + | 0.264367i | 0.711160 | − | 0.703031i | \(-0.248170\pi\) |
−0.253263 | + | 0.967398i | \(0.581504\pi\) | |||||||
\(102\) | 6.24264 | − | 8.82843i | 0.618114 | − | 0.874145i | ||||
\(103\) | 2.12132 | − | 2.12132i | 0.209020 | − | 0.209020i | −0.594831 | − | 0.803851i | \(-0.702781\pi\) |
0.803851 | + | 0.594831i | \(0.202781\pi\) | |||||||
\(104\) | −1.41421 | + | 2.44949i | −0.138675 | + | 0.240192i | ||||
\(105\) | −9.06787 | − | 7.26456i | −0.884933 | − | 0.708948i | ||||
\(106\) | 7.48528 | 0.727035 | ||||||||
\(107\) | 6.00000 | − | 6.00000i | 0.580042 | − | 0.580042i | −0.354873 | − | 0.934915i | \(-0.615476\pi\) |
0.934915 | + | 0.354873i | \(0.115476\pi\) | |||||||
\(108\) | −3.72474 | + | 3.62302i | −0.358414 | + | 0.348625i | ||||
\(109\) | 5.40629 | − | 3.12132i | 0.517828 | − | 0.298968i | −0.218217 | − | 0.975900i | \(-0.570024\pi\) |
0.736046 | + | 0.676932i | \(0.236691\pi\) | |||||||
\(110\) | 13.0093 | + | 0.780861i | 1.24039 | + | 0.0744522i | ||||
\(111\) | 3.99585 | − | 3.32162i | 0.379270 | − | 0.315274i | ||||
\(112\) | 0.776457 | − | 2.89778i | 0.0733683 | − | 0.273814i | ||||
\(113\) | −14.1421 | − | 14.1421i | −1.33038 | − | 1.33038i | −0.905028 | − | 0.425352i | \(-0.860150\pi\) |
−0.425352 | − | 0.905028i | \(-0.639850\pi\) | |||||||
\(114\) | 1.78522 | − | 7.33573i | 0.167201 | − | 0.687054i | ||||
\(115\) | −3.00000 | − | 6.00000i | −0.279751 | − | 0.559503i | ||||
\(116\) | 7.64564 | − | 4.41421i | 0.709880 | − | 0.409849i | ||||
\(117\) | 0.661498 | + | 8.45946i | 0.0611556 | + | 0.782077i | ||||
\(118\) | −1.46410 | − | 5.46410i | −0.134781 | − | 0.503011i | ||||
\(119\) | 9.36396 | + | 16.2189i | 0.858393 | + | 1.48678i | ||||
\(120\) | −3.02262 | − | 2.42152i | −0.275926 | − | 0.221053i | ||||
\(121\) | −22.9706 | −2.08823 | ||||||||
\(122\) | −4.41421 | + | 4.41421i | −0.399644 | + | 0.399644i | ||||
\(123\) | 2.17423 | + | 4.71940i | 0.196044 | + | 0.425534i | ||||
\(124\) | −1.94218 | − | 1.12132i | −0.174413 | − | 0.100698i | ||||
\(125\) | −6.36396 | − | 9.19239i | −0.569210 | − | 0.822192i | ||||
\(126\) | −3.00000 | − | 8.48528i | −0.267261 | − | 0.755929i | ||||
\(127\) | 8.36188 | − | 2.24056i | 0.741997 | − | 0.198817i | 0.132031 | − | 0.991246i | \(-0.457850\pi\) |
0.609965 | + | 0.792428i | \(0.291183\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −2.54516 | + | 6.89363i | −0.224089 | + | 0.606950i | ||||
\(130\) | −6.19615 | + | 1.26795i | −0.543439 | + | 0.111207i | ||||
\(131\) | 12.9904 | − | 7.50000i | 1.13497 | − | 0.655278i | 0.189794 | − | 0.981824i | \(-0.439218\pi\) |
0.945181 | + | 0.326546i | \(0.105885\pi\) | |||||||
\(132\) | 8.24264 | + | 5.82843i | 0.717430 | + | 0.507299i | ||||
\(133\) | 10.2462 | + | 8.12493i | 0.888462 | + | 0.704520i | ||||
\(134\) | −5.65685 | −0.488678 | ||||||||
\(135\) | −11.5873 | − | 0.856638i | −0.997278 | − | 0.0737276i | ||||
\(136\) | 3.12132 | + | 5.40629i | 0.267651 | + | 0.463585i | ||||
\(137\) | −0.909676 | − | 3.39496i | −0.0777189 | − | 0.290051i | 0.916117 | − | 0.400911i | \(-0.131306\pi\) |
−0.993836 | + | 0.110860i | \(0.964640\pi\) | |||||||
\(138\) | 0.476756 | − | 5.17423i | 0.0405842 | − | 0.440460i | ||||
\(139\) | −12.1244 | − | 7.00000i | −1.02837 | − | 0.593732i | −0.111856 | − | 0.993724i | \(-0.535679\pi\) |
−0.916519 | + | 0.399992i | \(0.869013\pi\) | |||||||
\(140\) | 6.00000 | − | 3.00000i | 0.507093 | − | 0.253546i | ||||
\(141\) | 17.8995 | − | 3.07107i | 1.50741 | − | 0.258631i | ||||
\(142\) | 12.9571 | − | 3.47185i | 1.08734 | − | 0.291352i | ||||
\(143\) | 15.9236 | − | 4.26670i | 1.33159 | − | 0.356800i | ||||
\(144\) | −1.00000 | − | 2.82843i | −0.0833333 | − | 0.235702i | ||||
\(145\) | 18.7279 | + | 6.24264i | 1.55527 | + | 0.518423i | ||||
\(146\) | −6.71807 | − | 3.87868i | −0.555991 | − | 0.321002i | ||||
\(147\) | 3.44949 | + | 0.317837i | 0.284509 | + | 0.0262148i | ||||
\(148\) | 0.776457 | + | 2.89778i | 0.0638244 | + | 0.238196i | ||||
\(149\) | −5.65685 | − | 9.79796i | −0.463428 | − | 0.802680i | 0.535701 | − | 0.844407i | \(-0.320047\pi\) |
−0.999129 | + | 0.0417274i | \(0.986714\pi\) | |||||||
\(150\) | −0.432972 | − | 8.64942i | −0.0353520 | − | 0.706223i | ||||
\(151\) | 14.7279 | 1.19854 | 0.599271 | − | 0.800546i | \(-0.295457\pi\) | ||||
0.599271 | + | 0.800546i | \(0.295457\pi\) | |||||||
\(152\) | 3.41542 | + | 2.70831i | 0.277027 | + | 0.219673i | ||||
\(153\) | 16.8995 | + | 8.07107i | 1.36624 | + | 0.652507i | ||||
\(154\) | −15.1427 | + | 8.74264i | −1.22023 | + | 0.704502i | ||||
\(155\) | −1.00535 | − | 4.91289i | −0.0807515 | − | 0.394613i | ||||
\(156\) | −4.59575 | − | 1.69677i | −0.367955 | − | 0.135851i | ||||
\(157\) | −1.59732 | + | 5.96128i | −0.127480 | + | 0.475762i | −0.999916 | − | 0.0129665i | \(-0.995873\pi\) |
0.872436 | + | 0.488729i | \(0.162539\pi\) | |||||||
\(158\) | 10.1280 | − | 2.71379i | 0.805741 | − | 0.215898i | ||||
\(159\) | 2.19239 | + | 12.7782i | 0.173868 | + | 1.01338i | ||||
\(160\) | 2.00000 | − | 1.00000i | 0.158114 | − | 0.0790569i | ||||
\(161\) | 7.79423 | + | 4.50000i | 0.614271 | + | 0.354650i | ||||
\(162\) | −7.27583 | − | 5.29738i | −0.571644 | − | 0.416201i | ||||
\(163\) | −5.75736 | + | 5.75736i | −0.450951 | + | 0.450951i | −0.895670 | − | 0.444719i | \(-0.853304\pi\) |
0.444719 | + | 0.895670i | \(0.353304\pi\) | |||||||
\(164\) | −3.00000 | −0.234261 | ||||||||
\(165\) | 2.47734 | + | 22.4371i | 0.192860 | + | 1.74672i | ||||
\(166\) | 2.12132 | + | 3.67423i | 0.164646 | + | 0.285176i | ||||
\(167\) | −1.68613 | − | 6.29273i | −0.130477 | − | 0.486946i | 0.869499 | − | 0.493935i | \(-0.164442\pi\) |
−0.999976 | + | 0.00698883i | \(0.997775\pi\) | |||||||
\(168\) | 5.17423 | + | 0.476756i | 0.399201 | + | 0.0367825i | ||||
\(169\) | 4.33013 | − | 2.50000i | 0.333087 | − | 0.192308i | ||||
\(170\) | −4.41421 | + | 13.2426i | −0.338555 | + | 1.01566i | ||||
\(171\) | 13.0458 | + | 0.898979i | 0.997634 | + | 0.0687467i | ||||
\(172\) | −3.00000 | − | 3.00000i | −0.228748 | − | 0.228748i | ||||
\(173\) | −3.61585 | + | 13.4945i | −0.274908 | + | 1.02597i | 0.680995 | + | 0.732288i | \(0.261547\pi\) |
−0.955903 | + | 0.293682i | \(0.905119\pi\) | |||||||
\(174\) | 9.77489 | + | 11.7590i | 0.741033 | + | 0.891450i | ||||
\(175\) | 13.9205 | + | 5.58750i | 1.05229 | + | 0.422376i | ||||
\(176\) | −5.04757 | + | 2.91421i | −0.380475 | + | 0.219667i | ||||
\(177\) | 8.89898 | − | 4.09978i | 0.668888 | − | 0.308158i | ||||
\(178\) | −4.36396 | + | 4.36396i | −0.327093 | + | 0.327093i | ||||
\(179\) | −20.6569 | −1.54397 | −0.771983 | − | 0.635643i | \(-0.780735\pi\) | ||||
−0.771983 | + | 0.635643i | \(0.780735\pi\) | |||||||
\(180\) | 3.24849 | − | 5.86919i | 0.242128 | − | 0.437463i | ||||
\(181\) | 1.24264 | − | 2.15232i | 0.0923648 | − | 0.159980i | −0.816141 | − | 0.577853i | \(-0.803891\pi\) |
0.908506 | + | 0.417872i | \(0.137224\pi\) | |||||||
\(182\) | 6.00000 | − | 6.00000i | 0.444750 | − | 0.444750i | ||||
\(183\) | −8.82843 | − | 6.24264i | −0.652616 | − | 0.461469i | ||||
\(184\) | 2.59808 | + | 1.50000i | 0.191533 | + | 0.110581i | ||||
\(185\) | −3.69615 | + | 5.59808i | −0.271747 | + | 0.411579i | ||||
\(186\) | 1.34536 | − | 3.64394i | 0.0986467 | − | 0.267187i | ||||
\(187\) | 9.41707 | − | 35.1450i | 0.688645 | − | 2.57006i | ||||
\(188\) | −2.71379 | + | 10.1280i | −0.197924 | + | 0.738661i | ||||
\(189\) | 13.6066 | − | 7.60660i | 0.989735 | − | 0.553299i | ||||
\(190\) | 0.535898 | + | 9.73205i | 0.0388782 | + | 0.706037i | ||||
\(191\) | − | 13.4142i | − | 0.970618i | −0.874343 | − | 0.485309i | \(-0.838707\pi\) | ||
0.874343 | − | 0.485309i | \(-0.161293\pi\) | |||||||
\(192\) | 1.72474 | + | 0.158919i | 0.124473 | + | 0.0114690i | ||||
\(193\) | −11.5911 | − | 3.10583i | −0.834346 | − | 0.223562i | −0.183737 | − | 0.982975i | \(-0.558820\pi\) |
−0.650609 | + | 0.759413i | \(0.725486\pi\) | |||||||
\(194\) | −1.24264 | + | 2.15232i | −0.0892164 | + | 0.154527i | ||||
\(195\) | −3.97934 | − | 10.2061i | −0.284966 | − | 0.730875i | ||||
\(196\) | −1.00000 | + | 1.73205i | −0.0714286 | + | 0.123718i | ||||
\(197\) | −18.0208 | + | 18.0208i | −1.28393 | + | 1.28393i | −0.345518 | + | 0.938412i | \(0.612297\pi\) |
−0.938412 | + | 0.345518i | \(0.887703\pi\) | |||||||
\(198\) | −7.53553 | + | 15.7782i | −0.535527 | + | 1.12131i | ||||
\(199\) | 4.98602 | + | 2.87868i | 0.353450 | + | 0.204064i | 0.666204 | − | 0.745770i | \(-0.267918\pi\) |
−0.312754 | + | 0.949834i | \(0.601252\pi\) | |||||||
\(200\) | 4.64016 | + | 1.86250i | 0.328109 | + | 0.131699i | ||||
\(201\) | −1.65685 | − | 9.65685i | −0.116865 | − | 0.681142i | ||||
\(202\) | −3.75736 | − | 3.75736i | −0.264367 | − | 0.264367i | ||||
\(203\) | −25.5828 | + | 6.85490i | −1.79556 | + | 0.481119i | ||||
\(204\) | −8.31489 | + | 6.91189i | −0.582159 | + | 0.483929i | ||||
\(205\) | −4.45069 | − | 5.01910i | −0.310850 | − | 0.350549i | ||||
\(206\) | −2.59808 | + | 1.50000i | −0.181017 | + | 0.104510i | ||||
\(207\) | 8.97261 | − | 0.701625i | 0.623639 | − | 0.0487663i | ||||
\(208\) | 2.00000 | − | 2.00000i | 0.138675 | − | 0.138675i | ||||
\(209\) | −2.91421 | − | 25.2378i | −0.201580 | − | 1.74574i | ||||
\(210\) | 6.87868 | + | 9.36396i | 0.474674 | + | 0.646175i | ||||
\(211\) | 6.74264 | + | 11.6786i | 0.464183 | + | 0.803988i | 0.999164 | − | 0.0408759i | \(-0.0130148\pi\) |
−0.534982 | + | 0.844864i | \(0.679682\pi\) | |||||||
\(212\) | −7.23023 | − | 1.93733i | −0.496574 | − | 0.133057i | ||||
\(213\) | 9.72188 | + | 21.1023i | 0.666132 | + | 1.44591i | ||||
\(214\) | −7.34847 | + | 4.24264i | −0.502331 | + | 0.290021i | ||||
\(215\) | 0.568406 | − | 9.46979i | 0.0387650 | − | 0.645834i | ||||
\(216\) | 4.53553 | − | 2.53553i | 0.308604 | − | 0.172521i | ||||
\(217\) | 4.75736 | + | 4.75736i | 0.322951 | + | 0.322951i | ||||
\(218\) | −6.02993 | + | 1.61571i | −0.408398 | + | 0.109430i | ||||
\(219\) | 4.65364 | − | 12.6045i | 0.314464 | − | 0.851733i | ||||
\(220\) | −12.3640 | − | 4.12132i | −0.833578 | − | 0.277859i | ||||
\(221\) | 17.6569i | 1.18773i | ||||||||
\(222\) | −4.71940 | + | 2.17423i | −0.316745 | + | 0.145925i | ||||
\(223\) | −0.497180 | − | 0.133219i | −0.0332936 | − | 0.00892100i | 0.242134 | − | 0.970243i | \(-0.422153\pi\) |
−0.275427 | + | 0.961322i | \(0.588819\pi\) | |||||||
\(224\) | −1.50000 | + | 2.59808i | −0.100223 | + | 0.173591i | ||||
\(225\) | 14.6387 | − | 3.27249i | 0.975912 | − | 0.218166i | ||||
\(226\) | 10.0000 | + | 17.3205i | 0.665190 | + | 1.15214i | ||||
\(227\) | 7.75736 | − | 7.75736i | 0.514874 | − | 0.514874i | −0.401142 | − | 0.916016i | \(-0.631387\pi\) |
0.916016 | + | 0.401142i | \(0.131387\pi\) | |||||||
\(228\) | −3.62302 | + | 6.62372i | −0.239940 | + | 0.438667i | ||||
\(229\) | − | 24.2426i | − | 1.60200i | −0.598665 | − | 0.800999i | \(-0.704302\pi\) | ||
0.598665 | − | 0.800999i | \(-0.295698\pi\) | |||||||
\(230\) | 1.34486 | + | 6.57201i | 0.0886777 | + | 0.433346i | ||||
\(231\) | −19.3598 | − | 23.2895i | −1.27378 | − | 1.53234i | ||||
\(232\) | −8.52761 | + | 2.28497i | −0.559865 | + | 0.150015i | ||||
\(233\) | 1.67851 | − | 6.26430i | 0.109963 | − | 0.410388i | −0.888898 | − | 0.458106i | \(-0.848528\pi\) |
0.998861 | + | 0.0477177i | \(0.0151948\pi\) | |||||||
\(234\) | 1.55051 | − | 8.34242i | 0.101360 | − | 0.545361i | ||||
\(235\) | −20.9706 | + | 10.4853i | −1.36797 | + | 0.683984i | ||||
\(236\) | 5.65685i | 0.368230i | ||||||||
\(237\) | 7.59915 | + | 16.4947i | 0.493618 | + | 1.07145i | ||||
\(238\) | −4.84714 | − | 18.0898i | −0.314194 | − | 1.17259i | ||||
\(239\) | −23.3137 | −1.50804 | −0.754019 | − | 0.656852i | \(-0.771887\pi\) | ||||
−0.754019 | + | 0.656852i | \(0.771887\pi\) | |||||||
\(240\) | 2.29289 | + | 3.12132i | 0.148006 | + | 0.201480i | ||||
\(241\) | −8.24264 | + | 14.2767i | −0.530955 | + | 0.919641i | 0.468392 | + | 0.883521i | \(0.344833\pi\) |
−0.999347 | + | 0.0361207i | \(0.988500\pi\) | |||||||
\(242\) | 22.1879 | + | 5.94522i | 1.42629 | + | 0.382173i | ||||
\(243\) | 6.91215 | − | 13.9722i | 0.443415 | − | 0.896317i | ||||
\(244\) | 5.40629 | − | 3.12132i | 0.346102 | − | 0.199822i | ||||
\(245\) | −4.38134 | + | 0.896575i | −0.279914 | + | 0.0572801i | ||||
\(246\) | −0.878680 | − | 5.12132i | −0.0560226 | − | 0.326523i | ||||
\(247\) | 4.53590 | + | 11.4641i | 0.288612 | + | 0.729443i | ||||
\(248\) | 1.58579 | + | 1.58579i | 0.100698 | + | 0.100698i | ||||
\(249\) | −5.65099 | + | 4.69748i | −0.358117 | + | 0.297691i | ||||
\(250\) | 3.76795 | + | 10.5263i | 0.238306 | + | 0.665740i | ||||
\(251\) | 4.60181 | + | 2.65685i | 0.290463 | + | 0.167699i | 0.638151 | − | 0.769911i | \(-0.279700\pi\) |
−0.347687 | + | 0.937611i | \(0.613033\pi\) | |||||||
\(252\) | 0.701625 | + | 8.97261i | 0.0441982 | + | 0.565221i | ||||
\(253\) | −4.52552 | − | 16.8895i | −0.284517 | − | 1.06183i | ||||
\(254\) | −8.65685 | −0.543179 | ||||||||
\(255\) | −23.8995 | − | 3.65685i | −1.49664 | − | 0.229001i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.0628000 | + | 0.234373i | 0.00391736 | + | 0.0146198i | 0.967857 | − | 0.251502i | \(-0.0809244\pi\) |
−0.963939 | + | 0.266122i | \(0.914258\pi\) | |||||||
\(258\) | 4.24264 | − | 6.00000i | 0.264135 | − | 0.373544i | ||||
\(259\) | − | 9.00000i | − | 0.559233i | ||||||
\(260\) | 6.31319 | + | 0.378937i | 0.391528 | + | 0.0235007i | ||||
\(261\) | −17.2109 | + | 20.1309i | −1.06533 | + | 1.24607i | ||||
\(262\) | −14.4889 | + | 3.88229i | −0.895126 | + | 0.239848i | ||||
\(263\) | −4.00789 | + | 14.9576i | −0.247137 | + | 0.922327i | 0.725161 | + | 0.688580i | \(0.241766\pi\) |
−0.972297 | + | 0.233747i | \(0.924901\pi\) | |||||||
\(264\) | −6.45327 | − | 7.76318i | −0.397171 | − | 0.477791i | ||||
\(265\) | −7.48528 | − | 14.9706i | −0.459817 | − | 0.919634i | ||||
\(266\) | −7.79423 | − | 10.5000i | −0.477895 | − | 0.643796i | ||||
\(267\) | −8.72792 | − | 6.17157i | −0.534140 | − | 0.377694i | ||||
\(268\) | 5.46410 | + | 1.46410i | 0.333773 | + | 0.0894342i | ||||
\(269\) | 12.5355 | + | 21.7122i | 0.764305 | + | 1.32382i | 0.940613 | + | 0.339480i | \(0.110251\pi\) |
−0.176308 | + | 0.984335i | \(0.556416\pi\) | |||||||
\(270\) | 10.9708 | + | 3.82647i | 0.667661 | + | 0.232872i | ||||
\(271\) | 1.00000 | + | 1.73205i | 0.0607457 | + | 0.105215i | 0.894799 | − | 0.446469i | \(-0.147319\pi\) |
−0.834053 | + | 0.551684i | \(0.813985\pi\) | |||||||
\(272\) | −1.61571 | − | 6.02993i | −0.0979671 | − | 0.365618i | ||||
\(273\) | 12.0000 | + | 8.48528i | 0.726273 | + | 0.513553i | ||||
\(274\) | 3.51472i | 0.212332i | ||||||||
\(275\) | −11.4476 | − | 26.7996i | −0.690318 | − | 1.61607i | ||||
\(276\) | −1.79970 | + | 4.87453i | −0.108329 | + | 0.293412i | ||||
\(277\) | 3.51472 | + | 3.51472i | 0.211179 | + | 0.211179i | 0.804768 | − | 0.593589i | \(-0.202290\pi\) |
−0.593589 | + | 0.804768i | \(0.702290\pi\) | |||||||
\(278\) | 9.89949 | + | 9.89949i | 0.593732 | + | 0.593732i | ||||
\(279\) | 6.61465 | + | 1.22939i | 0.396008 | + | 0.0736016i | ||||
\(280\) | −6.57201 | + | 1.34486i | −0.392753 | + | 0.0803709i | ||||
\(281\) | 10.2437 | + | 5.91421i | 0.611089 | + | 0.352812i | 0.773392 | − | 0.633929i | \(-0.218559\pi\) |
−0.162303 | + | 0.986741i | \(0.551892\pi\) | |||||||
\(282\) | −18.0844 | − | 1.66631i | −1.07691 | − | 0.0992271i | ||||
\(283\) | −0.331453 | − | 0.0888127i | −0.0197029 | − | 0.00527936i | 0.248954 | − | 0.968515i | \(-0.419913\pi\) |
−0.268657 | + | 0.963236i | \(0.586580\pi\) | |||||||
\(284\) | −13.4142 | −0.795987 | ||||||||
\(285\) | −16.4567 | + | 3.76529i | −0.974810 | + | 0.223036i | ||||
\(286\) | −16.4853 | −0.974795 | ||||||||
\(287\) | 8.69333 | + | 2.32937i | 0.513151 | + | 0.137498i | ||||
\(288\) | 0.233875 | + | 2.99087i | 0.0137812 | + | 0.176239i | ||||
\(289\) | 19.0271 | + | 10.9853i | 1.11924 | + | 0.646193i | ||||
\(290\) | −16.4741 | − | 10.8771i | −0.967391 | − | 0.638724i | ||||
\(291\) | −4.03820 | − | 1.49092i | −0.236723 | − | 0.0873994i | ||||
\(292\) | 5.48528 | + | 5.48528i | 0.321002 | + | 0.321002i | ||||
\(293\) | 5.63604 | + | 5.63604i | 0.329261 | + | 0.329261i | 0.852305 | − | 0.523044i | \(-0.175204\pi\) |
−0.523044 | + | 0.852305i | \(0.675204\pi\) | |||||||
\(294\) | −3.24969 | − | 1.19980i | −0.189526 | − | 0.0699738i | ||||
\(295\) | −9.46410 | + | 8.39230i | −0.551021 | + | 0.488619i | ||||
\(296\) | − | 3.00000i | − | 0.174371i | ||||||
\(297\) | −29.1421 | − | 8.24264i | −1.69100 | − | 0.478287i | ||||
\(298\) | 2.92820 | + | 10.9282i | 0.169626 | + | 0.633054i | ||||
\(299\) | 4.24264 | + | 7.34847i | 0.245358 | + | 0.424973i | ||||
\(300\) | −1.82042 | + | 8.46676i | −0.105102 | + | 0.488829i | ||||
\(301\) | 6.36396 | + | 11.0227i | 0.366813 | + | 0.635338i | ||||
\(302\) | −14.2261 | − | 3.81187i | −0.818619 | − | 0.219348i | ||||
\(303\) | 5.31371 | − | 7.51472i | 0.305265 | − | 0.431709i | ||||
\(304\) | −2.59808 | − | 3.50000i | −0.149010 | − | 0.200739i | ||||
\(305\) | 13.2426 | + | 4.41421i | 0.758271 | + | 0.252757i | ||||
\(306\) | −14.2347 | − | 12.1700i | −0.813744 | − | 0.695711i | ||||
\(307\) | −2.10734 | + | 7.86470i | −0.120272 | + | 0.448862i | −0.999627 | − | 0.0273048i | \(-0.991308\pi\) |
0.879355 | + | 0.476167i | \(0.157974\pi\) | |||||||
\(308\) | 16.8895 | − | 4.52552i | 0.962368 | − | 0.257866i | ||||
\(309\) | −3.32162 | − | 3.99585i | −0.188960 | − | 0.227316i | ||||
\(310\) | −0.300457 | + | 5.00569i | −0.0170648 | + | 0.284304i | ||||
\(311\) | 8.48528i | 0.481156i | 0.970630 | + | 0.240578i | \(0.0773370\pi\) | ||||
−0.970630 | + | 0.240578i | \(0.922663\pi\) | |||||||
\(312\) | 4.00000 | + | 2.82843i | 0.226455 | + | 0.160128i | ||||
\(313\) | 2.47337 | + | 9.23072i | 0.139803 | + | 0.521751i | 0.999932 | + | 0.0116748i | \(0.00371629\pi\) |
−0.860129 | + | 0.510077i | \(0.829617\pi\) | |||||||
\(314\) | 3.08579 | − | 5.34474i | 0.174141 | − | 0.301621i | ||||
\(315\) | −13.9706 | + | 14.4853i | −0.787152 | + | 0.816153i | ||||
\(316\) | −10.4853 | −0.589843 | ||||||||
\(317\) | 5.81200 | + | 21.6907i | 0.326434 | + | 1.21827i | 0.912862 | + | 0.408268i | \(0.133867\pi\) |
−0.586428 | + | 0.810002i | \(0.699466\pi\) | |||||||
\(318\) | 1.18955 | − | 12.9102i | 0.0667067 | − | 0.723968i | ||||
\(319\) | 44.5621 | + | 25.7279i | 2.49500 | + | 1.44049i | ||||
\(320\) | −2.19067 | + | 0.448288i | −0.122462 | + | 0.0250600i | ||||
\(321\) | −9.39496 | − | 11.3020i | −0.524375 | − | 0.630815i | ||||
\(322\) | −6.36396 | − | 6.36396i | −0.354650 | − | 0.354650i | ||||
\(323\) | 26.9182 | + | 3.98128i | 1.49777 | + | 0.221525i | ||||
\(324\) | 5.65685 | + | 7.00000i | 0.314270 | + | 0.388889i | ||||
\(325\) | 8.73205 | + | 11.1244i | 0.484367 | + | 0.617068i | ||||
\(326\) | 7.05130 | − | 4.07107i | 0.390535 | − | 0.225476i | ||||
\(327\) | −4.52432 | − | 9.82050i | −0.250196 | − | 0.543075i | ||||
\(328\) | 2.89778 | + | 0.776457i | 0.160003 | + | 0.0428727i | ||||
\(329\) | 15.7279 | − | 27.2416i | 0.867108 | − | 1.50188i | ||||
\(330\) | 3.41421 | − | 22.3137i | 0.187946 | − | 1.22833i | ||||
\(331\) | −29.4853 | −1.62066 | −0.810329 | − | 0.585975i | \(-0.800712\pi\) | ||||
−0.810329 | + | 0.585975i | \(0.800712\pi\) | |||||||
\(332\) | −1.09808 | − | 4.09808i | −0.0602648 | − | 0.224911i | ||||
\(333\) | −5.09393 | − | 7.41970i | −0.279146 | − | 0.406597i | ||||
\(334\) | 6.51472i | 0.356470i | ||||||||
\(335\) | 5.65685 | + | 11.3137i | 0.309067 | + | 0.618134i | ||||
\(336\) | −4.87453 | − | 1.79970i | −0.265928 | − | 0.0981818i | ||||
\(337\) | 3.74907 | − | 13.9917i | 0.204225 | − | 0.762177i | −0.785460 | − | 0.618913i | \(-0.787573\pi\) |
0.989684 | − | 0.143264i | \(-0.0457599\pi\) | |||||||
\(338\) | −4.82963 | + | 1.29410i | −0.262697 | + | 0.0703895i | ||||
\(339\) | −26.6390 | + | 22.1441i | −1.44683 | + | 1.20270i | ||||
\(340\) | 7.69125 | − | 11.6489i | 0.417117 | − | 0.631752i | ||||
\(341\) | − | 13.0711i | − | 0.707838i | ||||||
\(342\) | −12.3686 | − | 4.24484i | −0.668815 | − | 0.229535i | ||||
\(343\) | −10.6066 | + | 10.6066i | −0.572703 | + | 0.572703i | ||||
\(344\) | 2.12132 | + | 3.67423i | 0.114374 | + | 0.198101i | ||||
\(345\) | −10.8252 | + | 4.22072i | −0.582811 | + | 0.227236i | ||||
\(346\) | 6.98528 | − | 12.0989i | 0.375531 | − | 0.650439i | ||||
\(347\) | −22.1879 | − | 5.94522i | −1.19111 | − | 0.319156i | −0.391784 | − | 0.920057i | \(-0.628142\pi\) |
−0.799323 | + | 0.600901i | \(0.794808\pi\) | |||||||
\(348\) | −6.39836 | − | 13.8883i | −0.342988 | − | 0.744490i | ||||
\(349\) | − | 13.7574i | − | 0.736415i | −0.929744 | − | 0.368207i | \(-0.879972\pi\) | ||
0.929744 | − | 0.368207i | \(-0.120028\pi\) | |||||||
\(350\) | −12.0000 | − | 9.00000i | −0.641427 | − | 0.481070i | ||||
\(351\) | 14.6955 | + | 0.203449i | 0.784389 | + | 0.0108593i | ||||
\(352\) | 5.62983 | − | 1.50851i | 0.300071 | − | 0.0804037i | ||||
\(353\) | −20.4853 | − | 20.4853i | −1.09032 | − | 1.09032i | −0.995494 | − | 0.0948278i | \(-0.969770\pi\) |
−0.0948278 | − | 0.995494i | \(-0.530230\pi\) | |||||||
\(354\) | −9.65685 | + | 1.65685i | −0.513256 | + | 0.0880608i | ||||
\(355\) | −19.9008 | − | 22.4424i | −1.05623 | − | 1.19112i | ||||
\(356\) | 5.34474 | − | 3.08579i | 0.283271 | − | 0.163546i | ||||
\(357\) | 29.4615 | − | 13.5730i | 1.55927 | − | 0.718358i | ||||
\(358\) | 19.9530 | + | 5.34639i | 1.05455 | + | 0.282565i | ||||
\(359\) | 16.6066 | + | 28.7635i | 0.876463 | + | 1.51808i | 0.855196 | + | 0.518304i | \(0.173437\pi\) |
0.0212668 | + | 0.999774i | \(0.493230\pi\) | |||||||
\(360\) | −4.65685 | + | 4.82843i | −0.245438 | + | 0.254480i | ||||
\(361\) | 18.5000 | − | 4.33013i | 0.973684 | − | 0.227901i | ||||
\(362\) | −1.75736 | + | 1.75736i | −0.0923648 | + | 0.0923648i | ||||
\(363\) | −3.65045 | + | 39.6184i | −0.191599 | + | 2.07942i | ||||
\(364\) | −7.34847 | + | 4.24264i | −0.385164 | + | 0.222375i | ||||
\(365\) | −1.03929 | + | 17.3148i | −0.0543989 | + | 0.906299i | ||||
\(366\) | 6.91189 | + | 8.31489i | 0.361290 | + | 0.434626i | ||||
\(367\) | 5.79555 | − | 1.55291i | 0.302526 | − | 0.0810615i | −0.104363 | − | 0.994539i | \(-0.533280\pi\) |
0.406889 | + | 0.913478i | \(0.366614\pi\) | |||||||
\(368\) | −2.12132 | − | 2.12132i | −0.110581 | − | 0.110581i | ||||
\(369\) | 8.48528 | − | 3.00000i | 0.441726 | − | 0.156174i | ||||
\(370\) | 5.01910 | − | 4.45069i | 0.260930 | − | 0.231380i | ||||
\(371\) | 19.4473 | + | 11.2279i | 1.00966 | + | 0.582925i | ||||
\(372\) | −2.24264 | + | 3.17157i | −0.116276 | + | 0.164438i | ||||
\(373\) | −0.363961 | + | 0.363961i | −0.0188452 | + | 0.0188452i | −0.716467 | − | 0.697621i | \(-0.754242\pi\) |
0.697621 | + | 0.716467i | \(0.254242\pi\) | |||||||
\(374\) | −18.1924 | + | 31.5101i | −0.940706 | + | 1.62935i | ||||
\(375\) | −16.8659 | + | 9.51537i | −0.870950 | + | 0.491371i | ||||
\(376\) | 5.24264 | − | 9.08052i | 0.270369 | − | 0.468292i | ||||
\(377\) | −24.1197 | − | 6.46286i | −1.24223 | − | 0.332854i | ||||
\(378\) | −15.1117 | + | 3.82577i | −0.777262 | + | 0.196776i | ||||
\(379\) | 5.51472i | 0.283272i | 0.989919 | + | 0.141636i | \(0.0452363\pi\) | ||||
−0.989919 | + | 0.141636i | \(0.954764\pi\) | |||||||
\(380\) | 2.00120 | − | 9.53914i | 0.102659 | − | 0.489348i | ||||
\(381\) | −2.53553 | − | 14.7782i | −0.129899 | − | 0.757109i | ||||
\(382\) | −3.47185 | + | 12.9571i | −0.177636 | + | 0.662945i | ||||
\(383\) | −3.49787 | + | 13.0542i | −0.178733 | + | 0.667039i | 0.817153 | + | 0.576421i | \(0.195551\pi\) |
−0.995886 | + | 0.0906185i | \(0.971116\pi\) | |||||||
\(384\) | −1.62484 | − | 0.599900i | −0.0829175 | − | 0.0306135i | ||||
\(385\) | 32.6280 | + | 21.5428i | 1.66288 | + | 1.09792i | ||||
\(386\) | 10.3923 | + | 6.00000i | 0.528954 | + | 0.305392i | ||||
\(387\) | 11.4853 | + | 5.48528i | 0.583830 | + | 0.278833i | ||||
\(388\) | 1.75736 | − | 1.75736i | 0.0892164 | − | 0.0892164i | ||||
\(389\) | −9.53553 | + | 16.5160i | −0.483471 | + | 0.837396i | −0.999820 | − | 0.0189823i | \(-0.993957\pi\) |
0.516349 | + | 0.856378i | \(0.327291\pi\) | |||||||
\(390\) | 1.20220 | + | 10.8883i | 0.0608760 | + | 0.551350i | ||||
\(391\) | 18.7279 | 0.947112 | ||||||||
\(392\) | 1.41421 | − | 1.41421i | 0.0714286 | − | 0.0714286i | ||||
\(393\) | −10.8712 | − | 23.5970i | −0.548378 | − | 1.19031i | ||||
\(394\) | 22.0709 | − | 12.7426i | 1.11192 | − | 0.641965i | ||||
\(395\) | −15.5556 | − | 17.5422i | −0.782686 | − | 0.882645i | ||||
\(396\) | 11.3625 | − | 13.2902i | 0.570985 | − | 0.667858i | ||||
\(397\) | −6.72168 | + | 25.0856i | −0.337351 | + | 1.25901i | 0.563946 | + | 0.825811i | \(0.309282\pi\) |
−0.901298 | + | 0.433201i | \(0.857384\pi\) | |||||||
\(398\) | −4.07107 | − | 4.07107i | −0.204064 | − | 0.204064i | ||||
\(399\) | 15.6417 | − | 16.3810i | 0.783067 | − | 0.820074i | ||||
\(400\) | −4.00000 | − | 3.00000i | −0.200000 | − | 0.150000i | ||||
\(401\) | 9.20361 | − | 5.31371i | 0.459607 | − | 0.265354i | −0.252272 | − | 0.967656i | \(-0.581178\pi\) |
0.711879 | + | 0.702302i | \(0.247845\pi\) | |||||||
\(402\) | −0.898979 | + | 9.75663i | −0.0448370 | + | 0.486616i | ||||
\(403\) | 1.64173 | + | 6.12701i | 0.0817802 | + | 0.305208i | ||||
\(404\) | 2.65685 | + | 4.60181i | 0.132183 | + | 0.228948i | ||||
\(405\) | −3.31892 | + | 19.8490i | −0.164919 | + | 0.986307i | ||||
\(406\) | 26.4853 | 1.31444 | ||||||||
\(407\) | −12.3640 | + | 12.3640i | −0.612859 | + | 0.612859i | ||||
\(408\) | 9.82050 | − | 4.52432i | 0.486187 | − | 0.223987i | ||||
\(409\) | 22.9114 | + | 13.2279i | 1.13290 | + | 0.654079i | 0.944662 | − | 0.328045i | \(-0.106390\pi\) |
0.188235 | + | 0.982124i | \(0.439723\pi\) | |||||||
\(410\) | 3.00000 | + | 6.00000i | 0.148159 | + | 0.296319i | ||||
\(411\) | −6.00000 | + | 1.02944i | −0.295958 | + | 0.0507784i | ||||
\(412\) | 2.89778 | − | 0.776457i | 0.142763 | − | 0.0382533i | ||||
\(413\) | 4.39230 | − | 16.3923i | 0.216131 | − | 0.806613i | ||||
\(414\) | −8.84847 | − | 1.64456i | −0.434879 | − | 0.0808259i | ||||
\(415\) | 5.22715 | − | 7.91688i | 0.256591 | − | 0.388624i | ||||
\(416\) | −2.44949 | + | 1.41421i | −0.120096 | + | 0.0693375i | ||||
\(417\) | −14.0000 | + | 19.7990i | −0.685583 | + | 0.969561i | ||||
\(418\) | −3.71712 | + | 25.1321i | −0.181810 | + | 1.22925i | ||||
\(419\) | 24.1716 | 1.18086 | 0.590429 | − | 0.807089i | \(-0.298958\pi\) | ||||
0.590429 | + | 0.807089i | \(0.298958\pi\) | |||||||
\(420\) | −4.22072 | − | 10.8252i | −0.205950 | − | 0.528217i | ||||
\(421\) | −6.48528 | − | 11.2328i | −0.316073 | − | 0.547455i | 0.663592 | − | 0.748095i | \(-0.269031\pi\) |
−0.979665 | + | 0.200640i | \(0.935698\pi\) | |||||||
\(422\) | −3.49025 | − | 13.0258i | −0.169903 | − | 0.634085i | ||||
\(423\) | −2.45225 | − | 31.3601i | −0.119232 | − | 1.52478i | ||||
\(424\) | 6.48244 | + | 3.74264i | 0.314815 | + | 0.181759i | ||||
\(425\) | 30.8995 | − | 4.41421i | 1.49885 | − | 0.214121i | ||||
\(426\) | −3.92893 | − | 22.8995i | −0.190357 | − | 1.10948i | ||||
\(427\) | −18.0898 | + | 4.84714i | −0.875426 | + | 0.234570i | ||||
\(428\) | 8.19615 | − | 2.19615i | 0.396176 | − | 0.106155i | ||||
\(429\) | −4.82843 | − | 28.1421i | −0.233119 | − | 1.35872i | ||||
\(430\) | −3.00000 | + | 9.00000i | −0.144673 | + | 0.434019i | ||||
\(431\) | −9.79796 | − | 5.65685i | −0.471951 | − | 0.272481i | 0.245105 | − | 0.969497i | \(-0.421178\pi\) |
−0.717056 | + | 0.697015i | \(0.754511\pi\) | |||||||
\(432\) | −5.03723 | + | 1.27526i | −0.242354 | + | 0.0613557i | ||||
\(433\) | −6.85490 | − | 25.5828i | −0.329425 | − | 1.22943i | −0.909788 | − | 0.415074i | \(-0.863756\pi\) |
0.580363 | − | 0.814358i | \(-0.302911\pi\) | |||||||
\(434\) | −3.36396 | − | 5.82655i | −0.161475 | − | 0.279683i | ||||
\(435\) | 13.7432 | − | 31.3088i | 0.658935 | − | 1.50114i | ||||
\(436\) | 6.24264 | 0.298968 | ||||||||
\(437\) | 12.1595 | − | 4.81105i | 0.581669 | − | 0.230144i | ||||
\(438\) | −7.75736 | + | 10.9706i | −0.370661 | + | 0.524194i | ||||
\(439\) | −18.5813 | + | 10.7279i | −0.886837 | + | 0.512016i | −0.872907 | − | 0.487887i | \(-0.837768\pi\) |
−0.0139307 | + | 0.999903i | \(0.504434\pi\) | |||||||
\(440\) | 10.8760 | + | 7.18092i | 0.518493 | + | 0.342337i | ||||
\(441\) | 1.09638 | − | 5.89898i | 0.0522084 | − | 0.280904i | ||||
\(442\) | 4.56993 | − | 17.0552i | 0.217369 | − | 0.811234i | ||||
\(443\) | −24.8797 | + | 6.66650i | −1.18207 | + | 0.316735i | −0.795747 | − | 0.605629i | \(-0.792922\pi\) |
−0.386323 | + | 0.922364i | \(0.626255\pi\) | |||||||
\(444\) | 5.12132 | − | 0.878680i | 0.243047 | − | 0.0417003i | ||||
\(445\) | 13.0919 | + | 4.36396i | 0.620615 | + | 0.206872i | ||||
\(446\) | 0.445759 | + | 0.257359i | 0.0211073 | + | 0.0121863i | ||||
\(447\) | −17.7980 | + | 8.19955i | −0.841815 | + | 0.387826i | ||||
\(448\) | 2.12132 | − | 2.12132i | 0.100223 | − | 0.100223i | ||||
\(449\) | 12.1716 | 0.574412 | 0.287206 | − | 0.957869i | \(-0.407274\pi\) | ||||
0.287206 | + | 0.957869i | \(0.407274\pi\) | |||||||
\(450\) | −14.9869 | − | 0.627789i | −0.706487 | − | 0.0295942i | ||||
\(451\) | −8.74264 | − | 15.1427i | −0.411675 | − | 0.713042i | ||||
\(452\) | −5.17638 | − | 19.3185i | −0.243476 | − | 0.908667i | ||||
\(453\) | 2.34054 | − | 25.4019i | 0.109968 | − | 1.19349i | ||||
\(454\) | −9.50079 | + | 5.48528i | −0.445894 | + | 0.257437i | ||||
\(455\) | −18.0000 | − | 6.00000i | −0.843853 | − | 0.281284i | ||||
\(456\) | 5.21391 | − | 5.46032i | 0.244164 | − | 0.255703i | ||||
\(457\) | 8.97056 | + | 8.97056i | 0.419625 | + | 0.419625i | 0.885075 | − | 0.465449i | \(-0.154107\pi\) |
−0.465449 | + | 0.885075i | \(0.654107\pi\) | |||||||
\(458\) | −6.27446 | + | 23.4166i | −0.293186 | + | 1.09419i | ||||
\(459\) | 16.6062 | − | 27.8647i | 0.775110 | − | 1.30061i | ||||
\(460\) | 0.401924 | − | 6.69615i | 0.0187398 | − | 0.312210i | ||||
\(461\) | −32.1405 | + | 18.5563i | −1.49693 | + | 0.864255i | −0.999994 | − | 0.00352933i | \(-0.998877\pi\) |
−0.496940 | + | 0.867785i | \(0.665543\pi\) | |||||||
\(462\) | 12.6724 | + | 27.5067i | 0.589572 | + | 1.27973i | ||||
\(463\) | 17.3345 | − | 17.3345i | 0.805604 | − | 0.805604i | −0.178361 | − | 0.983965i | \(-0.557080\pi\) |
0.983965 | + | 0.178361i | \(0.0570796\pi\) | |||||||
\(464\) | 8.82843 | 0.409849 | ||||||||
\(465\) | −8.63325 | + | 0.953220i | −0.400357 | + | 0.0442045i | ||||
\(466\) | −3.24264 | + | 5.61642i | −0.150212 | + | 0.260176i | ||||
\(467\) | −10.2426 | + | 10.2426i | −0.473973 | + | 0.473973i | −0.903198 | − | 0.429225i | \(-0.858787\pi\) |
0.429225 | + | 0.903198i | \(0.358787\pi\) | |||||||
\(468\) | −3.65685 | + | 7.65685i | −0.169038 | + | 0.353938i | ||||
\(469\) | −14.6969 | − | 8.48528i | −0.678642 | − | 0.391814i | ||||
\(470\) | 22.9698 | − | 4.70042i | 1.05952 | − | 0.216814i | ||||
\(471\) | 10.0278 | + | 3.70233i | 0.462059 | + | 0.170594i | ||||
\(472\) | 1.46410 | − | 5.46410i | 0.0673907 | − | 0.251506i | ||||
\(473\) | 6.40006 | − | 23.8853i | 0.294275 | − | 1.09825i | ||||
\(474\) | −3.07107 | − | 17.8995i | −0.141059 | − | 0.822151i | ||||
\(475\) | 18.9282 | − | 10.8038i | 0.868486 | − | 0.495715i | ||||
\(476\) | 18.7279i | 0.858393i | ||||||||
\(477\) | 22.3875 | − | 1.75062i | 1.02505 | − | 0.0801554i | ||||
\(478\) | 22.5193 | + | 6.03403i | 1.03001 | + | 0.275990i | ||||
\(479\) | −3.19239 | + | 5.52938i | −0.145864 | + | 0.252644i | −0.929695 | − | 0.368330i | \(-0.879930\pi\) |
0.783831 | + | 0.620974i | \(0.213263\pi\) | |||||||
\(480\) | −1.40691 | − | 3.60841i | −0.0642163 | − | 0.164701i | ||||
\(481\) | 4.24264 | − | 7.34847i | 0.193448 | − | 0.335061i | ||||
\(482\) | 11.6569 | − | 11.6569i | 0.530955 | − | 0.530955i | ||||
\(483\) | 9.00000 | − | 12.7279i | 0.409514 | − | 0.579141i | ||||
\(484\) | −19.8931 | − | 11.4853i | −0.904231 | − | 0.522058i | ||||
\(485\) | 5.54727 | + | 0.332965i | 0.251889 | + | 0.0151191i | ||||
\(486\) | −10.2929 | + | 11.7071i | −0.466895 | + | 0.531045i | ||||
\(487\) | 3.39340 | + | 3.39340i | 0.153770 | + | 0.153770i | 0.779799 | − | 0.626030i | \(-0.215321\pi\) |
−0.626030 | + | 0.779799i | \(0.715321\pi\) | |||||||
\(488\) | −6.02993 | + | 1.61571i | −0.272962 | + | 0.0731399i | ||||
\(489\) | 9.01502 | + | 10.8449i | 0.407673 | + | 0.490425i | ||||
\(490\) | 4.46410 | + | 0.267949i | 0.201668 | + | 0.0121047i | ||||
\(491\) | 30.4340 | − | 17.5711i | 1.37347 | − | 0.792971i | 0.382104 | − | 0.924119i | \(-0.375200\pi\) |
0.991363 | + | 0.131148i | \(0.0418664\pi\) | |||||||
\(492\) | −0.476756 | + | 5.17423i | −0.0214938 | + | 0.233273i | ||||
\(493\) | −38.9706 | + | 38.9706i | −1.75515 | + | 1.75515i | ||||
\(494\) | −1.41421 | − | 12.2474i | −0.0636285 | − | 0.551039i | ||||
\(495\) | 39.0919 | − | 0.707107i | 1.75705 | − | 0.0317821i | ||||
\(496\) | −1.12132 | − | 1.94218i | −0.0503488 | − | 0.0872066i | ||||
\(497\) | 38.8714 | + | 10.4156i | 1.74362 | + | 0.467202i | ||||
\(498\) | 6.67423 | − | 3.07483i | 0.299080 | − | 0.137787i | ||||
\(499\) | 3.48960 | − | 2.01472i | 0.156216 | − | 0.0901912i | −0.419854 | − | 0.907591i | \(-0.637919\pi\) |
0.576070 | + | 0.817400i | \(0.304586\pi\) | |||||||
\(500\) | −0.915158 | − | 11.1428i | −0.0409271 | − | 0.498322i | ||||
\(501\) | −11.1213 | + | 1.90812i | −0.496864 | + | 0.0852484i | ||||
\(502\) | −3.75736 | − | 3.75736i | −0.167699 | − | 0.167699i | ||||
\(503\) | −15.4264 | + | 4.13349i | −0.687828 | + | 0.184303i | −0.585772 | − | 0.810476i | \(-0.699209\pi\) |
−0.102056 | + | 0.994779i | \(0.532542\pi\) | |||||||
\(504\) | 1.64456 | − | 8.84847i | 0.0732547 | − | 0.394142i | ||||
\(505\) | −3.75736 | + | 11.2721i | −0.167200 | + | 0.501601i | ||||
\(506\) | 17.4853i | 0.777316i | ||||||||
\(507\) | −3.62372 | − | 7.86566i | −0.160935 | − | 0.349326i | ||||
\(508\) | 8.36188 | + | 2.24056i | 0.370998 | + | 0.0994087i | ||||
\(509\) | 6.36396 | − | 11.0227i | 0.282078 | − | 0.488573i | −0.689819 | − | 0.723982i | \(-0.742310\pi\) |
0.971896 | + | 0.235409i | \(0.0756431\pi\) | |||||||
\(510\) | 22.1387 | + | 9.71789i | 0.980317 | + | 0.430316i | ||||
\(511\) | −11.6360 | − | 20.1542i | −0.514748 | − | 0.891570i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 3.62372 | − | 22.3577i | 0.159991 | − | 0.987118i | ||||
\(514\) | − | 0.242641i | − | 0.0107024i | ||||||
\(515\) | 5.59808 | + | 3.69615i | 0.246681 | + | 0.162872i | ||||
\(516\) | −5.65099 | + | 4.69748i | −0.248771 | + | 0.206795i | ||||
\(517\) | −59.0303 | + | 15.8171i | −2.59615 | + | 0.695637i | ||||
\(518\) | −2.32937 | + | 8.69333i | −0.102347 | + | 0.381963i | ||||
\(519\) | 22.7000 | + | 8.38095i | 0.996419 | + | 0.367883i | ||||
\(520\) | −6.00000 | − | 2.00000i | −0.263117 | − | 0.0877058i | ||||
\(521\) | − | 12.6863i | − | 0.555797i | −0.960611 | − | 0.277898i | \(-0.910362\pi\) | ||
0.960611 | − | 0.277898i | \(-0.0896378\pi\) | |||||||
\(522\) | 21.8347 | − | 14.9905i | 0.955681 | − | 0.656115i | ||||
\(523\) | 3.19464 | + | 11.9226i | 0.139692 | + | 0.521337i | 0.999934 | + | 0.0114522i | \(0.00364543\pi\) |
−0.860243 | + | 0.509885i | \(0.829688\pi\) | |||||||
\(524\) | 15.0000 | 0.655278 | ||||||||
\(525\) | 11.8492 | − | 23.1213i | 0.517143 | − | 1.00910i | ||||
\(526\) | 7.74264 | − | 13.4106i | 0.337595 | − | 0.584732i | ||||
\(527\) | 13.5230 | + | 3.62347i | 0.589069 | + | 0.157841i | ||||
\(528\) | 4.22412 | + | 9.16889i | 0.183831 | + | 0.399025i | ||||
\(529\) | −12.1244 | + | 7.00000i | −0.527146 | + | 0.304348i | ||||
\(530\) | 3.35556 | + | 16.3978i | 0.145756 | + | 0.712274i | ||||
\(531\) | −5.65685 | − | 16.0000i | −0.245487 | − | 0.694341i | ||||
\(532\) | 4.81105 | + | 12.1595i | 0.208585 | + | 0.527182i | ||||
\(533\) | 6.00000 | + | 6.00000i | 0.259889 | + | 0.259889i | ||||
\(534\) | 6.83320 | + | 8.22023i | 0.295702 | + | 0.355724i | ||||
\(535\) | 15.8338 | + | 10.4543i | 0.684553 | + | 0.451979i | ||||
\(536\) | −4.89898 | − | 2.82843i | −0.211604 | − | 0.122169i | ||||
\(537\) | −3.28276 | + | 35.6278i | −0.141661 | + | 1.53745i | ||||
\(538\) | −6.48887 | − | 24.2168i | −0.279755 | − | 1.04406i | ||||
\(539\) | −11.6569 | −0.502096 | ||||||||
\(540\) | −9.60660 | − | 6.53553i | −0.413402 | − | 0.281245i | ||||
\(541\) | −13.3640 | + | 23.1471i | −0.574562 | + | 0.995170i | 0.421528 | + | 0.906816i | \(0.361494\pi\) |
−0.996089 | + | 0.0883542i | \(0.971839\pi\) | |||||||
\(542\) | −0.517638 | − | 1.93185i | −0.0222345 | − | 0.0829801i | ||||
\(543\) | −3.51472 | − | 2.48528i | −0.150831 | − | 0.106654i | ||||
\(544\) | 6.24264i | 0.267651i | ||||||||
\(545\) | 9.26136 | + | 10.4441i | 0.396713 | + | 0.447378i | ||||
\(546\) | −9.39496 | − | 11.3020i | −0.402067 | − | 0.483680i | ||||
\(547\) | −30.3840 | + | 8.14137i | −1.29913 | + | 0.348100i | −0.841120 | − | 0.540849i | \(-0.818103\pi\) |
−0.458007 | + | 0.888949i | \(0.651436\pi\) | |||||||
\(548\) | 0.909676 | − | 3.39496i | 0.0388594 | − | 0.145025i | ||||
\(549\) | −12.1700 | + | 14.2347i | −0.519401 | + | 0.607523i | ||||
\(550\) | 4.12132 | + | 28.8492i | 0.175734 | + | 1.23014i | ||||
\(551\) | −15.2913 | + | 35.3137i | −0.651431 | + | 1.50441i | ||||
\(552\) | 3.00000 | − | 4.24264i | 0.127688 | − | 0.180579i | ||||
\(553\) | 30.3840 | + | 8.14137i | 1.29206 | + | 0.346206i | ||||
\(554\) | −2.48528 | − | 4.30463i | −0.105589 | − | 0.182886i | ||||
\(555\) | 9.06787 | + | 7.26456i | 0.384909 | + | 0.308363i | ||||
\(556\) | −7.00000 | − | 12.1244i | −0.296866 | − | 0.514187i | ||||
\(557\) | −5.16876 | − | 19.2901i | −0.219007 | − | 0.817347i | −0.984717 | − | 0.174161i | \(-0.944279\pi\) |
0.765710 | − | 0.643186i | \(-0.222388\pi\) | |||||||
\(558\) | −6.07107 | − | 2.89949i | −0.257009 | − | 0.122745i | ||||
\(559\) | 12.0000i | 0.507546i | ||||||||
\(560\) | 6.69615 | + | 0.401924i | 0.282964 | + | 0.0169844i | ||||
\(561\) | −59.1196 | − | 21.8272i | −2.49603 | − | 0.921547i | ||||
\(562\) | −8.36396 | − | 8.36396i | −0.352812 | − | 0.352812i | ||||
\(563\) | −32.8284 | − | 32.8284i | −1.38355 | − | 1.38355i | −0.838218 | − | 0.545335i | \(-0.816402\pi\) |
−0.545335 | − | 0.838218i | \(-0.683598\pi\) | |||||||
\(564\) | 17.0370 | + | 6.29012i | 0.717385 | + | 0.264862i | ||||
\(565\) | 24.6410 | − | 37.3205i | 1.03666 | − | 1.57009i | ||||
\(566\) | 0.297173 | + | 0.171573i | 0.0124911 | + | 0.00721175i | ||||
\(567\) | −10.9571 | − | 24.6767i | −0.460155 | − | 1.03633i | ||||
\(568\) | 12.9571 | + | 3.47185i | 0.543669 | + | 0.145676i | ||||
\(569\) | −28.7990 | −1.20732 | −0.603658 | − | 0.797243i | \(-0.706291\pi\) | ||||
−0.603658 | + | 0.797243i | \(0.706291\pi\) | |||||||
\(570\) | 16.8705 | + | 0.622316i | 0.706626 | + | 0.0260660i | ||||
\(571\) | 6.48528 | 0.271401 | 0.135700 | − | 0.990750i | \(-0.456672\pi\) | ||||
0.135700 | + | 0.990750i | \(0.456672\pi\) | |||||||
\(572\) | 15.9236 | + | 4.26670i | 0.665797 | + | 0.178400i | ||||
\(573\) | −23.1361 | − | 2.13177i | −0.966524 | − | 0.0890559i | ||||
\(574\) | −7.79423 | − | 4.50000i | −0.325325 | − | 0.187826i | ||||
\(575\) | 11.7992 | − | 9.26174i | 0.492059 | − | 0.386241i | ||||
\(576\) | 0.548188 | − | 2.94949i | 0.0228412 | − | 0.122895i | ||||
\(577\) | 14.4853 | + | 14.4853i | 0.603030 | + | 0.603030i | 0.941115 | − | 0.338085i | \(-0.109779\pi\) |
−0.338085 | + | 0.941115i | \(0.609779\pi\) | |||||||
\(578\) | −15.5355 | − | 15.5355i | −0.646193 | − | 0.646193i | ||||
\(579\) | −7.19881 | + | 19.4981i | −0.299172 | + | 0.810315i | ||||
\(580\) | 13.0975 | + | 14.7702i | 0.543846 | + | 0.613301i | ||||
\(581\) | 12.7279i | 0.528043i | ||||||||
\(582\) | 3.51472 | + | 2.48528i | 0.145690 | + | 0.103018i | ||||
\(583\) | −11.2916 | − | 42.1408i | −0.467651 | − | 1.74530i | ||||
\(584\) | −3.87868 | − | 6.71807i | −0.160501 | − | 0.277996i | ||||
\(585\) | −18.2353 | + | 5.24140i | −0.753939 | + | 0.216705i | ||||
\(586\) | −3.98528 | − | 6.90271i | −0.164630 | − | 0.285148i | ||||
\(587\) | 6.78991 | + | 1.81935i | 0.280250 | + | 0.0750927i | 0.396206 | − | 0.918162i | \(-0.370327\pi\) |
−0.115956 | + | 0.993254i | \(0.536993\pi\) | |||||||
\(588\) | 2.82843 | + | 2.00000i | 0.116642 | + | 0.0824786i | ||||
\(589\) | 9.71092 | − | 1.12132i | 0.400131 | − | 0.0462032i | ||||
\(590\) | 11.3137 | − | 5.65685i | 0.465778 | − | 0.232889i | ||||
\(591\) | 28.2175 | + | 33.9452i | 1.16071 | + | 1.39632i | ||||
\(592\) | −0.776457 | + | 2.89778i | −0.0319122 | + | 0.119098i | ||||
\(593\) | 20.7816 | − | 5.56842i | 0.853399 | − | 0.228668i | 0.194503 | − | 0.980902i | \(-0.437691\pi\) |
0.658896 | + | 0.752234i | \(0.271024\pi\) | |||||||
\(594\) | 26.0158 | + | 15.5043i | 1.06744 | + | 0.636150i | ||||
\(595\) | −31.3324 | + | 27.7841i | −1.28450 | + | 1.13904i | ||||
\(596\) | − | 11.3137i | − | 0.463428i | ||||||
\(597\) | 5.75736 | − | 8.14214i | 0.235633 | − | 0.333235i | ||||
\(598\) | −2.19615 | − | 8.19615i | −0.0898074 | − | 0.335166i | ||||
\(599\) | 17.8492 | − | 30.9158i | 0.729300 | − | 1.26319i | −0.227879 | − | 0.973689i | \(-0.573179\pi\) |
0.957179 | − | 0.289496i | \(-0.0934876\pi\) | |||||||
\(600\) | 3.94975 | − | 7.70711i | 0.161248 | − | 0.314641i | ||||
\(601\) | 23.0000 | 0.938190 | 0.469095 | − | 0.883148i | \(-0.344580\pi\) | ||||
0.469095 | + | 0.883148i | \(0.344580\pi\) | |||||||
\(602\) | −3.29423 | − | 12.2942i | −0.134263 | − | 0.501075i | ||||
\(603\) | −16.9189 | + | 1.32300i | −0.688991 | + | 0.0538766i | ||||
\(604\) | 12.7548 | + | 7.36396i | 0.518984 | + | 0.299635i | ||||
\(605\) | −10.2974 | − | 50.3209i | −0.418650 | − | 2.04584i | ||||
\(606\) | −7.07760 | + | 5.88337i | −0.287508 | + | 0.238996i | ||||
\(607\) | 8.36396 | + | 8.36396i | 0.339483 | + | 0.339483i | 0.856173 | − | 0.516690i | \(-0.172836\pi\) |
−0.516690 | + | 0.856173i | \(0.672836\pi\) | |||||||
\(608\) | 1.60368 | + | 4.05317i | 0.0650379 | + | 0.164378i | ||||
\(609\) | 7.75736 | + | 45.2132i | 0.314344 | + | 1.83213i | ||||
\(610\) | −11.6489 | − | 7.69125i | −0.471651 | − | 0.311410i | ||||
\(611\) | 25.6836 | − | 14.8284i | 1.03905 | − | 0.599894i | ||||
\(612\) | 10.5999 | + | 15.4395i | 0.428474 | + | 0.624105i | ||||
\(613\) | −27.8177 | − | 7.45373i | −1.12355 | − | 0.301053i | −0.351228 | − | 0.936290i | \(-0.614236\pi\) |
−0.772318 | + | 0.635237i | \(0.780903\pi\) | |||||||
\(614\) | 4.07107 | − | 7.05130i | 0.164295 | − | 0.284567i | ||||
\(615\) | −9.36396 | + | 6.87868i | −0.377591 | + | 0.277375i | ||||
\(616\) | −17.4853 | −0.704502 | ||||||||
\(617\) | −11.4356 | − | 42.6782i | −0.460380 | − | 1.71816i | −0.671770 | − | 0.740760i | \(-0.734466\pi\) |
0.211390 | − | 0.977402i | \(-0.432201\pi\) | |||||||
\(618\) | 2.17423 | + | 4.71940i | 0.0874605 | + | 0.189842i | ||||
\(619\) | − | 42.9411i | − | 1.72595i | −0.505247 | − | 0.862975i | \(-0.668599\pi\) | ||
0.505247 | − | 0.862975i | \(-0.331401\pi\) | |||||||
\(620\) | 1.58579 | − | 4.75736i | 0.0636867 | − | 0.191060i | ||||
\(621\) | 0.215791 | − | 15.5870i | 0.00865938 | − | 0.625483i | ||||
\(622\) | 2.19615 | − | 8.19615i | 0.0880577 | − | 0.328636i | ||||
\(623\) | −17.8838 | + | 4.79196i | −0.716501 | + | 0.191986i | ||||
\(624\) | −3.13165 | − | 3.76733i | −0.125366 | − | 0.150814i | ||||
\(625\) | 17.2846 | − | 18.0622i | 0.691384 | − | 0.722487i | ||||
\(626\) | − | 9.55635i | − | 0.381949i | ||||||
\(627\) | −43.9919 | + | 1.01551i | −1.75687 | + | 0.0405557i | ||||
\(628\) | −4.36396 | + | 4.36396i | −0.174141 | + | 0.174141i | ||||
\(629\) | −9.36396 | − | 16.2189i | −0.373366 | − | 0.646688i | ||||
\(630\) | 17.2436 | − | 10.3759i | 0.687001 | − | 0.413384i | ||||
\(631\) | −4.12132 | + | 7.13834i | −0.164067 | + | 0.284173i | −0.936324 | − | 0.351138i | \(-0.885795\pi\) |
0.772256 | + | 0.635311i | \(0.219128\pi\) | |||||||
\(632\) | 10.1280 | + | 2.71379i | 0.402870 | + | 0.107949i | ||||
\(633\) | 21.2141 | − | 9.77339i | 0.843186 | − | 0.388457i | ||||
\(634\) | − | 22.4558i | − | 0.891836i | ||||||
\(635\) | 8.65685 | + | 17.3137i | 0.343537 | + | 0.687074i | ||||
\(636\) | −4.49042 | + | 12.1624i | −0.178057 | + | 0.482271i | ||||
\(637\) | 5.46410 | − | 1.46410i | 0.216496 | − | 0.0580098i | ||||
\(638\) | −36.3848 | − | 36.3848i | −1.44049 | − | 1.44049i | ||||
\(639\) | 37.9411 | − | 13.4142i | 1.50093 | − | 0.530658i | ||||
\(640\) | 2.23205 | + | 0.133975i | 0.0882296 | + | 0.00529581i | ||||
\(641\) | −5.49333 | + | 3.17157i | −0.216973 | + | 0.125270i | −0.604548 | − | 0.796569i | \(-0.706646\pi\) |
0.387575 | + | 0.921838i | \(0.373313\pi\) | |||||||
\(642\) | 6.14966 | + | 13.3485i | 0.242708 | + | 0.526822i | ||||
\(643\) | −18.7527 | − | 5.02477i | −0.739534 | − | 0.198158i | −0.130663 | − | 0.991427i | \(-0.541711\pi\) |
−0.608871 | + | 0.793269i | \(0.708377\pi\) | |||||||
\(644\) | 4.50000 | + | 7.79423i | 0.177325 | + | 0.307136i | ||||
\(645\) | −16.2426 | − | 2.48528i | −0.639553 | − | 0.0978579i | ||||
\(646\) | −24.9706 | − | 10.8126i | −0.982454 | − | 0.425415i | ||||
\(647\) | −11.2929 | + | 11.2929i | −0.443969 | + | 0.443969i | −0.893344 | − | 0.449374i | \(-0.851647\pi\) |
0.449374 | + | 0.893344i | \(0.351647\pi\) | |||||||
\(648\) | −3.65237 | − | 8.22558i | −0.143479 | − | 0.323131i | ||||
\(649\) | −28.5533 | + | 16.4853i | −1.12082 | + | 0.647104i | ||||
\(650\) | −5.55532 | − | 13.0053i | −0.217898 | − | 0.510111i | ||||
\(651\) | 8.96126 | − | 7.44920i | 0.351220 | − | 0.291957i | ||||
\(652\) | −7.86470 | + | 2.10734i | −0.308005 | + | 0.0825298i | ||||
\(653\) | 14.8492 | + | 14.8492i | 0.581096 | + | 0.581096i | 0.935204 | − | 0.354109i | \(-0.115216\pi\) |
−0.354109 | + | 0.935204i | \(0.615216\pi\) | |||||||
\(654\) | 1.82843 | + | 10.6569i | 0.0714972 | + | 0.416716i | ||||
\(655\) | 22.2535 | + | 25.0955i | 0.869515 | + | 0.980562i | ||||
\(656\) | −2.59808 | − | 1.50000i | −0.101438 | − | 0.0585652i | ||||
\(657\) | −21.0000 | − | 10.0294i | −0.819288 | − | 0.391286i | ||||
\(658\) | −22.2426 | + | 22.2426i | −0.867108 | + | 0.867108i | ||||
\(659\) | −22.7132 | + | 39.3404i | −0.884781 | + | 1.53249i | −0.0388161 | + | 0.999246i | \(0.512359\pi\) |
−0.845965 | + | 0.533239i | \(0.820975\pi\) | |||||||
\(660\) | −9.07309 | + | 20.6697i | −0.353170 | + | 0.804568i | ||||
\(661\) | −7.12132 | + | 12.3345i | −0.276987 | + | 0.479756i | −0.970635 | − | 0.240559i | \(-0.922669\pi\) |
0.693647 | + | 0.720315i | \(0.256003\pi\) | |||||||
\(662\) | 28.4806 | + | 7.63135i | 1.10693 | + | 0.296601i | ||||
\(663\) | 30.4536 | + | 2.80600i | 1.18272 | + | 0.108976i | ||||
\(664\) | 4.24264i | 0.164646i | ||||||||
\(665\) | −13.2058 | + | 26.0885i | −0.512098 | + | 1.01167i | ||||
\(666\) | 3.00000 | + | 8.48528i | 0.116248 | + | 0.328798i | ||||
\(667\) | −6.85490 | + | 25.5828i | −0.265423 | + | 0.990571i | ||||
\(668\) | 1.68613 | − | 6.29273i | 0.0652385 | − | 0.243473i | ||||
\(669\) | −0.308780 | + | 0.836338i | −0.0119381 | + | 0.0323347i | ||||
\(670\) | −2.53590 | − | 12.3923i | −0.0979703 | − | 0.478757i | ||||
\(671\) | 31.5101 | + | 18.1924i | 1.21644 | + | 0.702309i | ||||
\(672\) | 4.24264 | + | 3.00000i | 0.163663 | + | 0.115728i | ||||
\(673\) | 4.97056 | − | 4.97056i | 0.191601 | − | 0.191601i | −0.604787 | − | 0.796388i | \(-0.706742\pi\) |
0.796388 | + | 0.604787i | \(0.206742\pi\) | |||||||
\(674\) | −7.24264 | + | 12.5446i | −0.278976 | + | 0.483201i | ||||
\(675\) | −3.31785 | − | 25.7680i | −0.127704 | − | 0.991812i | ||||
\(676\) | 5.00000 | 0.192308 | ||||||||
\(677\) | 13.3934 | − | 13.3934i | 0.514750 | − | 0.514750i | −0.401228 | − | 0.915978i | \(-0.631417\pi\) |
0.915978 | + | 0.401228i | \(0.131417\pi\) | |||||||
\(678\) | 31.4626 | − | 14.4949i | 1.20832 | − | 0.556673i | ||||
\(679\) | −6.45695 | + | 3.72792i | −0.247795 | + | 0.143065i | ||||
\(680\) | −10.4441 | + | 9.26136i | −0.400515 | + | 0.355157i | ||||
\(681\) | −12.1467 | − | 14.6123i | −0.465462 | − | 0.559943i | ||||
\(682\) | −3.38304 | + | 12.6257i | −0.129543 | + | 0.483462i | ||||
\(683\) | 18.8995 | + | 18.8995i | 0.723169 | + | 0.723169i | 0.969249 | − | 0.246080i | \(-0.0791427\pi\) |
−0.246080 | + | 0.969249i | \(0.579143\pi\) | |||||||
\(684\) | 10.8485 | + | 7.30142i | 0.414802 | + | 0.279177i | ||||
\(685\) | 7.02944 | − | 3.51472i | 0.268581 | − | 0.134290i | ||||
\(686\) | 12.9904 | − | 7.50000i | 0.495975 | − | 0.286351i | ||||
\(687\) | −41.8124 | − | 3.85261i | −1.59524 | − | 0.146986i | ||||
\(688\) | −1.09808 | − | 4.09808i | −0.0418638 | − | 0.156238i | ||||
\(689\) | 10.5858 | + | 18.3351i | 0.403286 | + | 0.698512i | ||||
\(690\) | 11.5488 | − | 1.27513i | 0.439654 | − | 0.0485434i | ||||
\(691\) | 5.97056 | 0.227131 | 0.113565 | − | 0.993531i | \(-0.463773\pi\) | ||||
0.113565 | + | 0.993531i | \(0.463773\pi\) | |||||||
\(692\) | −9.87868 | + | 9.87868i | −0.375531 | + | 0.375531i | ||||
\(693\) | −43.2452 | + | 29.6896i | −1.64275 | + | 1.12781i | ||||
\(694\) | 19.8931 | + | 11.4853i | 0.755131 | + | 0.435975i | ||||
\(695\) | 9.89949 | − | 29.6985i | 0.375509 | − | 1.12653i | ||||
\(696\) | 2.58579 | + | 15.0711i | 0.0980140 | + | 0.571267i | ||||
\(697\) | 18.0898 | − | 4.84714i | 0.685199 | − | 0.183599i | ||||
\(698\) | −3.56067 | + | 13.2886i | −0.134773 | + | 0.502980i | ||||
\(699\) | −10.5376 | − | 3.89052i | −0.398568 | − | 0.147153i | ||||
\(700\) | 9.26174 | + | 11.7992i | 0.350061 | + | 0.445966i | ||||
\(701\) | −7.97887 | + | 4.60660i | −0.301358 | + | 0.173989i | −0.643053 | − | 0.765822i | \(-0.722332\pi\) |
0.341695 | + | 0.939811i | \(0.388999\pi\) | |||||||
\(702\) | −14.1421 | − | 4.00000i | −0.533761 | − | 0.150970i | ||||
\(703\) | −10.2462 | − | 8.12493i | −0.386445 | − | 0.306437i | ||||
\(704\) | −5.82843 | −0.219667 | ||||||||
\(705\) | 14.7518 | + | 37.8352i | 0.555586 | + | 1.42496i | ||||
\(706\) | 14.4853 | + | 25.0892i | 0.545161 | + | 0.944246i | ||||
\(707\) | −4.12587 | − | 15.3979i | −0.155169 | − | 0.579099i | ||||
\(708\) | 9.75663 | + | 0.898979i | 0.366677 | + | 0.0337857i | ||||
\(709\) | 13.5953 | + | 7.84924i | 0.510582 | + | 0.294784i | 0.733073 | − | 0.680150i | \(-0.238085\pi\) |
−0.222491 | + | 0.974935i | \(0.571419\pi\) | |||||||
\(710\) | 13.4142 | + | 26.8284i | 0.503426 | + | 1.00685i | ||||
\(711\) | 29.6569 | − | 10.4853i | 1.11222 | − | 0.393229i | ||||
\(712\) | −5.96128 | + | 1.59732i | −0.223408 | + | 0.0598621i | ||||
\(713\) | 6.49867 | − | 1.74131i | 0.243377 | − | 0.0652127i | ||||
\(714\) | −31.9706 | + | 5.48528i | −1.19647 | + | 0.205281i | ||||
\(715\) | 16.4853 | + | 32.9706i | 0.616515 | + | 1.23303i | ||||
\(716\) | −17.8894 | − | 10.3284i | −0.668557 | − | 0.385991i | ||||
\(717\) | −3.70498 | + | 40.2102i | −0.138365 | + | 1.50168i | ||||
\(718\) | −8.59621 | − | 32.0815i | −0.320808 | − | 1.19727i | ||||
\(719\) | 2.29289 | + | 3.97141i | 0.0855105 | + | 0.148109i | 0.905609 | − | 0.424114i | \(-0.139415\pi\) |
−0.820098 | + | 0.572223i | \(0.806081\pi\) | |||||||
\(720\) | 5.74786 | − | 3.45862i | 0.214210 | − | 0.128895i | ||||
\(721\) | −9.00000 | −0.335178 | ||||||||
\(722\) | −18.9903 | − | 0.605571i | −0.706748 | − | 0.0225370i | ||||
\(723\) | 23.3137 | + | 16.4853i | 0.867046 | + | 0.613094i | ||||
\(724\) | 2.15232 | − | 1.24264i | 0.0799902 | − | 0.0461824i | ||||
\(725\) | −5.28007 | + | 43.8252i | −0.196097 | + | 1.62763i | ||||
\(726\) | 13.7801 | − | 37.3236i | 0.511426 | − | 1.38521i | ||||
\(727\) | 5.39079 | − | 20.1187i | 0.199933 | − | 0.746162i | −0.791001 | − | 0.611815i | \(-0.790440\pi\) |
0.990934 | − | 0.134347i | \(-0.0428936\pi\) | |||||||
\(728\) | 8.19615 | − | 2.19615i | 0.303770 | − | 0.0813948i | ||||
\(729\) | −23.0000 | − | 14.1421i | −0.851852 | − | 0.523783i | ||||
\(730\) | 5.48528 | − | 16.4558i | 0.203019 | − | 0.609058i | ||||
\(731\) | 22.9369 | + | 13.2426i | 0.848353 | + | 0.489797i | ||||
\(732\) | −4.52432 | − | 9.82050i | −0.167224 | − | 0.362976i | ||||
\(733\) | −3.87868 | + | 3.87868i | −0.143262 | + | 0.143262i | −0.775100 | − | 0.631838i | \(-0.782301\pi\) |
0.631838 | + | 0.775100i | \(0.282301\pi\) | |||||||
\(734\) | −6.00000 | −0.221464 | ||||||||
\(735\) | 0.850087 | + | 7.69918i | 0.0313559 | + | 0.283988i | ||||
\(736\) | 1.50000 | + | 2.59808i | 0.0552907 | + | 0.0957664i | ||||
\(737\) | 8.53341 | + | 31.8471i | 0.314332 | + | 1.17310i | ||||
\(738\) | −8.97261 | + | 0.701625i | −0.330286 | + | 0.0258272i | ||||
\(739\) | −0.0254934 | + | 0.0147186i | −0.000937790 | + | 0.000541433i | −0.500469 | − | 0.865755i | \(-0.666839\pi\) |
0.499531 | + | 0.866296i | \(0.333506\pi\) | |||||||
\(740\) | −6.00000 | + | 3.00000i | −0.220564 | + | 0.110282i | ||||
\(741\) | 20.4935 | − | 6.00141i | 0.752847 | − | 0.220467i | ||||
\(742\) | −15.8787 | − | 15.8787i | −0.582925 | − | 0.582925i | ||||
\(743\) | −2.06293 | + | 7.69897i | −0.0756817 | + | 0.282448i | −0.993387 | − | 0.114814i | \(-0.963373\pi\) |
0.917705 | + | 0.397262i | \(0.130040\pi\) | |||||||
\(744\) | 2.98709 | − | 2.48307i | 0.109512 | − | 0.0910336i | ||||
\(745\) | 18.9282 | − | 16.7846i | 0.693476 | − | 0.614941i | ||||
\(746\) | 0.445759 | − | 0.257359i | 0.0163204 | − | 0.00942259i | ||||
\(747\) | 7.20390 | + | 10.4930i | 0.263577 | + | 0.383920i | ||||
\(748\) | 25.7279 | − | 25.7279i | 0.940706 | − | 0.940706i | ||||
\(749\) | −25.4558 | −0.930136 | ||||||||
\(750\) | 18.7539 | − | 4.82593i | 0.684797 | − | 0.176218i | ||||
\(751\) | 0.393398 | − | 0.681386i | 0.0143553 | − | 0.0248641i | −0.858759 | − | 0.512381i | \(-0.828764\pi\) |
0.873114 | + | 0.487516i | \(0.162097\pi\) | |||||||
\(752\) | −7.41421 | + | 7.41421i | −0.270369 | + | 0.270369i | ||||
\(753\) | 5.31371 | − | 7.51472i | 0.193642 | − | 0.273852i | ||||
\(754\) | 21.6251 | + | 12.4853i | 0.787541 | + | 0.454687i | ||||
\(755\) | 6.60235 | + | 32.2640i | 0.240284 | + | 1.17421i | ||||
\(756\) | 15.5870 | + | 0.215791i | 0.566892 | + | 0.00784823i | ||||
\(757\) | −7.18729 | + | 26.8233i | −0.261226 | + | 0.974910i | 0.703293 | + | 0.710900i | \(0.251712\pi\) |
−0.964520 | + | 0.264011i | \(0.914955\pi\) | |||||||
\(758\) | 1.42731 | − | 5.32681i | 0.0518424 | − | 0.193478i | ||||
\(759\) | −29.8492 | + | 5.12132i | −1.08346 | + | 0.185892i | ||||
\(760\) | −4.40192 | + | 8.69615i | −0.159675 | + | 0.315443i | ||||
\(761\) | 23.4853i | 0.851341i | 0.904878 | + | 0.425670i | \(0.139962\pi\) | ||||
−0.904878 | + | 0.425670i | \(0.860038\pi\) | |||||||
\(762\) | −1.37574 | + | 14.9309i | −0.0498376 | + | 0.540888i | ||||
\(763\) | −18.0898 | − | 4.84714i | −0.654894 | − | 0.175478i | ||||
\(764\) | 6.70711 | − | 11.6170i | 0.242655 | − | 0.420290i | ||||
\(765\) | −10.1052 | + | 40.6394i | −0.365355 | + | 1.46932i | ||||
\(766\) | 6.75736 | − | 11.7041i | 0.244153 | − | 0.422886i | ||||
\(767\) | 11.3137 | − | 11.3137i | 0.408514 | − | 0.408514i | ||||
\(768\) | 1.41421 | + | 1.00000i | 0.0510310 | + | 0.0360844i | ||||
\(769\) | −4.35562 | − | 2.51472i | −0.157068 | − | 0.0906831i | 0.419406 | − | 0.907799i | \(-0.362238\pi\) |
−0.576474 | + | 0.817116i | \(0.695572\pi\) | |||||||
\(770\) | −25.9405 | − | 29.2534i | −0.934832 | − | 1.05422i | ||||
\(771\) | 0.414214 | − | 0.0710678i | 0.0149175 | − | 0.00255944i | ||||
\(772\) | −8.48528 | − | 8.48528i | −0.305392 | − | 0.305392i | ||||
\(773\) | 41.0092 | − | 10.9884i | 1.47500 | − | 0.395225i | 0.570356 | − | 0.821397i | \(-0.306805\pi\) |
0.904642 | + | 0.426173i | \(0.140138\pi\) | |||||||
\(774\) | −9.67423 | − | 8.27098i | −0.347733 | − | 0.297294i | ||||
\(775\) | 10.3118 | − | 4.40477i | 0.370412 | − | 0.158224i | ||||
\(776\) | −2.15232 | + | 1.24264i | −0.0772637 | + | 0.0446082i | ||||
\(777\) | −15.5227 | − | 1.43027i | −0.556874 | − | 0.0513106i | ||||
\(778\) | 13.4853 | − | 13.4853i | 0.483471 | − | 0.483471i | ||||
\(779\) | 10.5000 | − | 7.79423i | 0.376202 | − | 0.279257i | ||||
\(780\) | 1.65685 | − | 10.8284i | 0.0593249 | − | 0.387720i | ||||
\(781\) | −39.0919 | − | 67.7091i | −1.39882 | − | 2.42282i | ||||
\(782\) | −18.0898 | − | 4.84714i | −0.646889 | − | 0.173333i | ||||
\(783\) | 31.9856 | + | 32.8836i | 1.14307 | + | 1.17517i | ||||
\(784\) | −1.73205 | + | 1.00000i | −0.0618590 | + | 0.0357143i | ||||
\(785\) | −13.7753 | − | 0.826834i | −0.491660 | − | 0.0295110i | ||||
\(786\) | 4.39340 | + | 25.6066i | 0.156707 | + | 0.913357i | ||||
\(787\) | −22.7279 | − | 22.7279i | −0.810163 | − | 0.810163i | 0.174495 | − | 0.984658i | \(-0.444171\pi\) |
−0.984658 | + | 0.174495i | \(0.944171\pi\) | |||||||
\(788\) | −24.6169 | + | 6.59608i | −0.876940 | + | 0.234975i | ||||
\(789\) | 25.1612 | + | 9.28963i | 0.895761 | + | 0.330719i | ||||
\(790\) | 10.4853 | + | 20.9706i | 0.373050 | + | 0.746099i | ||||
\(791\) | 60.0000i | 2.13335i | ||||||||
\(792\) | −14.4151 | + | 9.89653i | −0.512217 | + | 0.351658i | ||||
\(793\) | −17.0552 | − | 4.56993i | −0.605648 | − | 0.162283i | ||||
\(794\) | 12.9853 | − | 22.4912i | 0.460830 | − | 0.798182i | ||||
\(795\) | −27.0100 | + | 10.5311i | −0.957944 | + | 0.373500i | ||||
\(796\) | 2.87868 | + | 4.98602i | 0.102032 | + | 0.176725i | ||||
\(797\) | 13.7782 | − | 13.7782i | 0.488048 | − | 0.488048i | −0.419642 | − | 0.907690i | \(-0.637844\pi\) |
0.907690 | + | 0.419642i | \(0.137844\pi\) | |||||||
\(798\) | −19.3485 | + | 11.7744i | −0.684928 | + | 0.416810i | ||||
\(799\) | − | 65.4558i | − | 2.31566i | ||||||
\(800\) | 3.08725 | + | 3.93305i | 0.109151 | + | 0.139054i | ||||
\(801\) | −12.0314 | + | 14.0727i | −0.425109 | + | 0.497233i | ||||
\(802\) | −10.2653 | + | 2.75058i | −0.362480 | + | 0.0971263i | ||||
\(803\) | −11.7020 | + | 43.6726i | −0.412956 | + | 1.54117i | ||||
\(804\) | 3.39355 | − | 9.19151i | 0.119681 | − | 0.324160i | ||||
\(805\) | −6.36396 | + | 19.0919i | −0.224300 | + | 0.672900i | ||||
\(806\) | − | 6.34315i | − | 0.223428i | ||||||
\(807\) | 39.4401 | − | 18.1701i | 1.38836 | − | 0.639619i | ||||
\(808\) | −1.37529 | − | 5.13265i | −0.0483825 | − | 0.180566i | ||||
\(809\) | −47.3137 | −1.66346 | −0.831731 | − | 0.555179i | \(-0.812650\pi\) | ||||
−0.831731 | + | 0.555179i | \(0.812650\pi\) | |||||||
\(810\) | 8.34315 | − | 18.3137i | 0.293148 | − | 0.643478i | ||||
\(811\) | 15.2279 | − | 26.3755i | 0.534725 | − | 0.926170i | −0.464452 | − | 0.885598i | \(-0.653749\pi\) |
0.999177 | − | 0.0405720i | \(-0.0129180\pi\) | |||||||
\(812\) | −25.5828 | − | 6.85490i | −0.897781 | − | 0.240560i | ||||
\(813\) | 3.14626 | − | 1.44949i | 0.110344 | − | 0.0508358i | ||||
\(814\) | 15.1427 | − | 8.74264i | 0.530751 | − | 0.306429i | ||||
\(815\) | −15.1934 | − | 10.0315i | −0.532203 | − | 0.351389i | ||||
\(816\) | −10.6569 | + | 1.82843i | −0.373065 | + | 0.0640078i | ||||
\(817\) | 18.2942 | + | 2.70577i | 0.640034 | + | 0.0946630i | ||||
\(818\) | −18.7071 | − | 18.7071i | −0.654079 | − | 0.654079i | ||||
\(819\) | 16.5420 | − | 19.3485i | 0.578023 | − | 0.676090i | ||||
\(820\) | −1.34486 | − | 6.57201i | −0.0469647 | − | 0.229505i | ||||
\(821\) | −25.3864 | − | 14.6569i | −0.885992 | − | 0.511528i | −0.0133626 | − | 0.999911i | \(-0.504254\pi\) |
−0.872629 | + | 0.488383i | \(0.837587\pi\) | |||||||
\(822\) | 6.06199 | + | 0.558554i | 0.211436 | + | 0.0194818i | ||||
\(823\) | 13.1110 | + | 48.9308i | 0.457019 | + | 1.70562i | 0.682083 | + | 0.731275i | \(0.261074\pi\) |
−0.225063 | + | 0.974344i | \(0.572259\pi\) | |||||||
\(824\) | −3.00000 | −0.104510 | ||||||||
\(825\) | −48.0416 | + | 15.4853i | −1.67259 | + | 0.539128i | ||||
\(826\) | −8.48528 | + | 14.6969i | −0.295241 | + | 0.511372i | ||||
\(827\) | −6.98050 | − | 26.0516i | −0.242736 | − | 0.905902i | −0.974508 | − | 0.224353i | \(-0.927973\pi\) |
0.731772 | − | 0.681549i | \(-0.238693\pi\) | |||||||
\(828\) | 8.12132 | + | 3.87868i | 0.282235 | + | 0.134793i | ||||
\(829\) | − | 4.97056i | − | 0.172635i | −0.996268 | − | 0.0863174i | \(-0.972490\pi\) | ||
0.996268 | − | 0.0863174i | \(-0.0275099\pi\) | |||||||
\(830\) | −7.09808 | + | 6.29423i | −0.246378 | + | 0.218476i | ||||
\(831\) | 6.62055 | − | 5.50344i | 0.229664 | − | 0.190912i | ||||
\(832\) | 2.73205 | − | 0.732051i | 0.0947168 | − | 0.0253793i | ||||
\(833\) | 3.23143 | − | 12.0599i | 0.111962 | − | 0.417849i | ||||
\(834\) | 18.6473 | − | 15.5009i | 0.645704 | − | 0.536752i | ||||
\(835\) | 13.0294 | − | 6.51472i | 0.450902 | − | 0.225451i | ||||
\(836\) | 10.0951 | − | 23.3137i | 0.349147 | − | 0.806321i | ||||
\(837\) | 3.17157 | − | 11.2132i | 0.109626 | − | 0.387585i | ||||
\(838\) | −23.3479 | − | 6.25606i | −0.806541 | − | 0.216112i | ||||
\(839\) | −9.87868 | − | 17.1104i | −0.341050 | − | 0.590716i | 0.643578 | − | 0.765380i | \(-0.277449\pi\) |
−0.984628 | + | 0.174665i | \(0.944116\pi\) | |||||||
\(840\) | 1.27513 | + | 11.5488i | 0.0439962 | + | 0.398470i | ||||
\(841\) | −24.4706 | − | 42.3843i | −0.843813 | − | 1.46153i | ||||
\(842\) | 3.35703 | + | 12.5286i | 0.115691 | + | 0.431764i | ||||
\(843\) | 11.8284 | − | 16.7279i | 0.407393 | − | 0.576140i | ||||
\(844\) | 13.4853i | 0.464183i | ||||||||
\(845\) | 7.41782 | + | 8.36516i | 0.255181 | + | 0.287770i | ||||
\(846\) | −5.74791 | + | 30.9262i | −0.197617 | + | 1.06327i | ||||
\(847\) | 48.7279 | + | 48.7279i | 1.67431 | + | 1.67431i | ||||
\(848\) | −5.29289 | − | 5.29289i | −0.181759 | − | 0.181759i | ||||
\(849\) | −0.205853 | + | 0.557558i | −0.00706487 | + | 0.0191354i | ||||
\(850\) | −30.9891 | − | 3.73357i | −1.06292 | − | 0.128061i | ||||
\(851\) | −7.79423 | − | 4.50000i | −0.267183 | − | 0.154258i | ||||
\(852\) | −2.13177 | + | 23.1361i | −0.0730332 | + | 0.792630i | ||||
\(853\) | 25.9143 | + | 6.94371i | 0.887288 | + | 0.237748i | 0.673549 | − | 0.739143i | \(-0.264769\pi\) |
0.213739 | + | 0.976891i | \(0.431436\pi\) | |||||||
\(854\) | 18.7279 | 0.640856 | ||||||||
\(855\) | 3.87889 | + | 28.9820i | 0.132655 | + | 0.991162i | ||||
\(856\) | −8.48528 | −0.290021 | ||||||||
\(857\) | 8.19615 | + | 2.19615i | 0.279975 | + | 0.0750191i | 0.396074 | − | 0.918219i | \(-0.370372\pi\) |
−0.116099 | + | 0.993238i | \(0.537039\pi\) | |||||||
\(858\) | −2.61982 | + | 28.4329i | −0.0894391 | + | 0.970683i | ||||
\(859\) | −31.5717 | − | 18.2279i | −1.07721 | − | 0.621929i | −0.147069 | − | 0.989126i | \(-0.546984\pi\) |
−0.930143 | + | 0.367198i | \(0.880317\pi\) | |||||||
\(860\) | 5.22715 | − | 7.91688i | 0.178244 | − | 0.269963i | ||||
\(861\) | 5.39910 | − | 14.6236i | 0.184001 | − | 0.498371i | ||||
\(862\) | 8.00000 | + | 8.00000i | 0.272481 | + | 0.272481i | ||||
\(863\) | −27.2340 | − | 27.2340i | −0.927057 | − | 0.927057i | 0.0704580 | − | 0.997515i | \(-0.477554\pi\) |
−0.997515 | + | 0.0704580i | \(0.977554\pi\) | |||||||
\(864\) | 5.19565 | + | 0.0719302i | 0.176760 | + | 0.00244711i | ||||
\(865\) | −31.1830 | − | 1.87170i | −1.06025 | − | 0.0636397i | ||||
\(866\) | 26.4853i | 0.900006i | ||||||||
\(867\) | 21.9706 | − | 31.0711i | 0.746159 | − | 1.05523i | ||||
\(868\) | 1.74131 | + | 6.49867i | 0.0591041 | + | 0.220579i | ||||
\(869\) | −30.5563 | − | 52.9251i | −1.03655 | − | 1.79536i | ||||
\(870\) | −21.3782 | + | 26.6850i | −0.724789 | + | 0.904706i | ||||
\(871\) | −8.00000 | − | 13.8564i | −0.271070 | − | 0.469506i | ||||
\(872\) | −6.02993 | − | 1.61571i | −0.204199 | − | 0.0547150i | ||||
\(873\) | −3.21320 | + | 6.72792i | −0.108750 | + | 0.227706i | ||||
\(874\) | −12.9904 | + | 1.50000i | −0.439406 | + | 0.0507383i | ||||
\(875\) | −6.00000 | + | 33.0000i | −0.202837 | + | 1.11560i | ||||
\(876\) | 10.3324 | − | 8.58900i | 0.349100 | − | 0.290195i | ||||
\(877\) | 5.81200 | − | 21.6907i | 0.196257 | − | 0.732442i | −0.795681 | − | 0.605717i | \(-0.792887\pi\) |
0.991938 | − | 0.126726i | \(-0.0404468\pi\) | |||||||
\(878\) | 20.7248 | − | 5.55318i | 0.699427 | − | 0.187411i | ||||
\(879\) | 10.6164 | − | 8.82506i | 0.358082 | − | 0.297662i | ||||
\(880\) | −8.64684 | − | 9.75115i | −0.291485 | − | 0.328711i | ||||
\(881\) | 7.28427i | 0.245413i | 0.992443 | + | 0.122707i | \(0.0391574\pi\) | ||||
−0.992443 | + | 0.122707i | \(0.960843\pi\) | |||||||
\(882\) | −2.58579 | + | 5.41421i | −0.0870680 | + | 0.182306i | ||||
\(883\) | −5.30198 | − | 19.7873i | −0.178426 | − | 0.665894i | −0.995943 | − | 0.0899897i | \(-0.971317\pi\) |
0.817517 | − | 0.575905i | \(-0.195350\pi\) | |||||||
\(884\) | −8.82843 | + | 15.2913i | −0.296932 | + | 0.514302i | ||||
\(885\) | 12.9706 | + | 17.6569i | 0.436001 | + | 0.593529i | ||||
\(886\) | 25.7574 | 0.865335 | ||||||||
\(887\) | 8.14137 | + | 30.3840i | 0.273361 | + | 1.02020i | 0.956932 | + | 0.290312i | \(0.0937590\pi\) |
−0.683572 | + | 0.729883i | \(0.739574\pi\) | |||||||
\(888\) | −5.17423 | − | 0.476756i | −0.173636 | − | 0.0159989i | ||||
\(889\) | −22.4912 | − | 12.9853i | −0.754330 | − | 0.435512i | ||||
\(890\) | −11.5163 | − | 7.60369i | −0.386028 | − | 0.254876i | ||||
\(891\) | −18.8477 | + | 48.9528i | −0.631421 | + | 1.63998i | ||||
\(892\) | −0.363961 | − | 0.363961i | −0.0121863 | − | 0.0121863i | ||||
\(893\) | −16.8151 | − | 42.4986i | −0.562695 | − | 1.42216i | ||||
\(894\) | 19.3137 | − | 3.31371i | 0.645947 | − | 0.110827i | ||||
\(895\) | −9.26021 | − | 45.2524i | −0.309535 | − | 1.51262i | ||||
\(896\) | −2.59808 | + | 1.50000i | −0.0867956 | + | 0.0501115i | ||||
\(897\) | 13.3485 | − | 6.14966i | 0.445692 | − | 0.205331i | ||||
\(898\) | −11.7568 | − | 3.15023i | −0.392331 | − | 0.105125i | ||||
\(899\) | −9.89949 | + | 17.1464i | −0.330167 | + | 0.571865i | ||||
\(900\) | 14.3137 | + | 4.48528i | 0.477124 | + | 0.149509i | ||||
\(901\) | 46.7279 | 1.55673 | ||||||||
\(902\) | 4.52552 | + | 16.8895i | 0.150683 | + | 0.562358i | ||||
\(903\) | 20.0227 | − | 9.22450i | 0.666314 | − | 0.306972i | ||||
\(904\) | 20.0000i | 0.665190i | ||||||||
\(905\) | 5.27208 | + | 1.75736i | 0.175250 | + | 0.0584166i | ||||
\(906\) | −8.83529 | + | 23.9306i | −0.293533 | + | 0.795040i | ||||
\(907\) | −10.4156 | + | 38.8714i | −0.345843 | + | 1.29070i | 0.545781 | + | 0.837928i | \(0.316233\pi\) |
−0.891624 | + | 0.452776i | \(0.850434\pi\) | |||||||
\(908\) | 10.5967 | − | 2.83939i | 0.351665 | − | 0.0942285i | ||||
\(909\) | −12.1165 | − | 10.3590i | −0.401880 | − | 0.343587i | ||||
\(910\) | 15.8338 | + | 10.4543i | 0.524884 | + | 0.346557i | ||||
\(911\) | − | 6.68629i | − | 0.221527i | −0.993847 | − | 0.110763i | \(-0.964670\pi\) | ||
0.993847 | − | 0.110763i | \(-0.0353296\pi\) | |||||||
\(912\) | −6.44949 | + | 3.92480i | −0.213564 | + | 0.129963i | ||||
\(913\) | 17.4853 | − | 17.4853i | 0.578678 | − | 0.578678i | ||||
\(914\) | −6.34315 | − | 10.9867i | −0.209813 | − | 0.363406i | ||||
\(915\) | 9.71789 | − | 22.1387i | 0.321264 | − | 0.731882i | ||||
\(916\) | 12.1213 | − | 20.9947i | 0.400500 | − | 0.693686i | ||||
\(917\) | −43.4667 | − | 11.6469i | −1.43540 | − | 0.384613i | ||||
\(918\) | −23.2522 | + | 22.6172i | −0.767438 | + | 0.746479i | ||||
\(919\) | 48.7279i | 1.60739i | 0.595044 | + | 0.803693i | \(0.297135\pi\) | ||||
−0.595044 | + | 0.803693i | \(0.702865\pi\) | |||||||
\(920\) | −2.12132 | + | 6.36396i | −0.0699379 | + | 0.209814i | ||||
\(921\) | 13.2297 | + | 4.88447i | 0.435934 | + | 0.160949i | ||||
\(922\) | 35.8481 | − | 9.60547i | 1.18059 | − | 0.316339i | ||||
\(923\) | 26.8284 | + | 26.8284i | 0.883068 | + | 0.883068i | ||||
\(924\) | −5.12132 | − | 29.8492i | −0.168479 | − | 0.981968i | ||||
\(925\) | −13.9205 | − | 5.58750i | −0.457703 | − | 0.183716i | ||||
\(926\) | −21.2304 | + | 12.2574i | −0.697673 | + | 0.402802i | ||||
\(927\) | −7.41970 | + | 5.09393i | −0.243695 | + | 0.167307i | ||||
\(928\) | −8.52761 | − | 2.28497i | −0.279932 | − | 0.0750077i | ||||
\(929\) | 15.2990 | + | 26.4986i | 0.501944 | + | 0.869392i | 0.999997 | + | 0.00224570i | \(0.000714830\pi\) |
−0.498054 | + | 0.867146i | \(0.665952\pi\) | |||||||
\(930\) | 8.58579 | + | 1.31371i | 0.281539 | + | 0.0430782i | ||||
\(931\) | −1.00000 | − | 8.66025i | −0.0327737 | − | 0.283828i | ||||
\(932\) | 4.58579 | − | 4.58579i | 0.150212 | − | 0.150212i | ||||
\(933\) | 14.6349 | + | 1.34847i | 0.479127 | + | 0.0441469i | ||||
\(934\) | 12.5446 | − | 7.24264i | 0.410473 | − | 0.236986i | ||||
\(935\) | 81.2127 | + | 4.87464i | 2.65594 | + | 0.159418i | ||||
\(936\) | 5.51399 | − | 6.44949i | 0.180230 | − | 0.210808i | ||||
\(937\) | −40.9406 | + | 10.9700i | −1.33747 | + | 0.358374i | −0.855495 | − | 0.517811i | \(-0.826747\pi\) |
−0.481975 | + | 0.876185i | \(0.660080\pi\) | |||||||
\(938\) | 12.0000 | + | 12.0000i | 0.391814 | + | 0.391814i | ||||
\(939\) | 16.3137 | − | 2.79899i | 0.532378 | − | 0.0913416i | ||||
\(940\) | −23.4037 | − | 1.40476i | −0.763344 | − | 0.0458183i | ||||
\(941\) | 11.9503 | + | 6.89949i | 0.389568 | + | 0.224917i | 0.681973 | − | 0.731377i | \(-0.261122\pi\) |
−0.292405 | + | 0.956295i | \(0.594456\pi\) | |||||||
\(942\) | −8.72792 | − | 6.17157i | −0.284371 | − | 0.201081i | ||||
\(943\) | 6.36396 | − | 6.36396i | 0.207239 | − | 0.207239i | ||||
\(944\) | −2.82843 | + | 4.89898i | −0.0920575 | + | 0.159448i | ||||
\(945\) | 22.7632 | + | 26.3976i | 0.740488 | + | 0.858715i | ||||
\(946\) | −12.3640 | + | 21.4150i | −0.401987 | + | 0.696262i | ||||
\(947\) | −12.3511 | − | 3.30947i | −0.401357 | − | 0.107543i | 0.0524933 | − | 0.998621i | \(-0.483283\pi\) |
−0.453850 | + | 0.891078i | \(0.649950\pi\) | |||||||
\(948\) | −1.66631 | + | 18.0844i | −0.0541191 | + | 0.587355i | ||||
\(949\) | − | 21.9411i | − | 0.712239i | ||||||
\(950\) | −21.0795 | + | 5.53674i | −0.683909 | + | 0.179635i | ||||
\(951\) | 38.3345 | − | 6.57716i | 1.24308 | − | 0.213279i | ||||
\(952\) | 4.84714 | − | 18.0898i | 0.157097 | − | 0.586293i | ||||
\(953\) | 7.49813 | − | 27.9834i | 0.242888 | − | 0.906472i | −0.731545 | − | 0.681794i | \(-0.761200\pi\) |
0.974433 | − | 0.224678i | \(-0.0721331\pi\) | |||||||
\(954\) | −22.0778 | − | 4.10334i | −0.714794 | − | 0.132851i | ||||
\(955\) | 29.3861 | − | 6.01343i | 0.950913 | − | 0.194590i | ||||
\(956\) | −20.1903 | − | 11.6569i | −0.653000 | − | 0.377010i | ||||
\(957\) | 51.4558 | − | 72.7696i | 1.66333 | − | 2.35231i | ||||
\(958\) | 4.51472 | − | 4.51472i | 0.145864 | − | 0.145864i | ||||
\(959\) | −5.27208 | + | 9.13151i | −0.170244 | + | 0.294872i | ||||
\(960\) | 0.425044 | + | 3.84959i | 0.0137182 | + | 0.124245i | ||||
\(961\) | −25.9706 | −0.837760 | ||||||||
\(962\) | −6.00000 | + | 6.00000i | −0.193448 | + | 0.193448i | ||||
\(963\) | −20.9861 | + | 14.4078i | −0.676267 | + | 0.464285i | ||||
\(964\) | −14.2767 | + | 8.24264i | −0.459821 | + | 0.265478i | ||||
\(965\) | 1.60770 | − | 26.7846i | 0.0517535 | − | 0.862227i | ||||
\(966\) | −11.9876 | + | 9.96486i | −0.385693 | + | 0.320614i | ||||
\(967\) | −1.92971 | + | 7.20179i | −0.0620554 | + | 0.231594i | −0.989987 | − | 0.141155i | \(-0.954918\pi\) |
0.927932 | + | 0.372749i | \(0.121585\pi\) | |||||||
\(968\) | 16.2426 | + | 16.2426i | 0.522058 | + | 0.522058i | ||||
\(969\) | 11.1445 | − | 45.7943i | 0.358013 | − | 1.47113i | ||||
\(970\) | −5.27208 | − | 1.75736i | −0.169276 | − | 0.0564254i | ||||
\(971\) | −27.2416 | + | 15.7279i | −0.874223 | + | 0.504733i | −0.868749 | − | 0.495252i | \(-0.835076\pi\) |
−0.00547389 | + | 0.999985i | \(0.501742\pi\) | |||||||
\(972\) | 12.9722 | − | 8.64420i | 0.416083 | − | 0.277263i | ||||
\(973\) | 10.8704 | + | 40.5689i | 0.348489 | + | 1.30058i | ||||
\(974\) | −2.39949 | − | 4.15605i | −0.0768848 | − | 0.133168i | ||||
\(975\) | 20.5744 | − | 13.2927i | 0.658907 | − | 0.425707i | ||||
\(976\) | 6.24264 | 0.199822 | ||||||||
\(977\) | −16.2426 | + | 16.2426i | −0.519648 | + | 0.519648i | −0.917465 | − | 0.397817i | \(-0.869768\pi\) |
0.397817 | + | 0.917465i | \(0.369768\pi\) | |||||||
\(978\) | −5.90097 | − | 12.8087i | −0.188692 | − | 0.409576i | ||||
\(979\) | 31.1514 | + | 17.9853i | 0.995604 | + | 0.574812i | ||||
\(980\) | −4.24264 | − | 1.41421i | −0.135526 | − | 0.0451754i | ||||
\(981\) | −17.6569 | + | 6.24264i | −0.563740 | + | 0.199312i | ||||
\(982\) | −33.9447 | + | 9.09545i | −1.08322 | + | 0.290248i | ||||
\(983\) | −8.91783 | + | 33.2818i | −0.284435 | + | 1.06152i | 0.664817 | + | 0.747006i | \(0.268510\pi\) |
−0.949252 | + | 0.314518i | \(0.898157\pi\) | |||||||
\(984\) | 1.79970 | − | 4.87453i | 0.0573724 | − | 0.155394i | ||||
\(985\) | −47.5562 | − | 31.3992i | −1.51527 | − | 1.00046i | ||||
\(986\) | 47.7290 | − | 27.5563i | 1.52000 | − | 0.877573i | ||||
\(987\) | −44.4853 | − | 31.4558i | −1.41598 | − | 1.00125i | ||||
\(988\) | −1.80385 | + | 12.1962i | −0.0573880 | + | 0.388011i | ||||
\(989\) | 12.7279 | 0.404724 | ||||||||
\(990\) | −37.9429 | − | 9.43471i | −1.20590 | − | 0.299855i | ||||
\(991\) | −3.00000 | − | 5.19615i | −0.0952981 | − | 0.165061i | 0.814435 | − | 0.580255i | \(-0.197047\pi\) |
−0.909733 | + | 0.415194i | \(0.863714\pi\) | |||||||
\(992\) | 0.580438 | + | 2.16622i | 0.0184289 | + | 0.0687777i | ||||
\(993\) | −4.68576 | + | 50.8546i | −0.148698 | + | 1.61382i | ||||
\(994\) | −34.8511 | − | 20.1213i | −1.10541 | − | 0.638210i | ||||
\(995\) | −4.07107 | + | 12.2132i | −0.129062 | + | 0.387185i | ||||
\(996\) | −7.24264 | + | 1.24264i | −0.229492 | + | 0.0393746i | ||||
\(997\) | −37.0082 | + | 9.91632i | −1.17206 | + | 0.314053i | −0.791773 | − | 0.610815i | \(-0.790842\pi\) |
−0.380288 | + | 0.924868i | \(0.624175\pi\) | |||||||
\(998\) | −3.89214 | + | 1.04290i | −0.123203 | + | 0.0330123i | ||||
\(999\) | −13.6066 | + | 7.60660i | −0.430494 | + | 0.240662i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 570.2.v.a.197.1 | yes | 8 | |
3.2 | odd | 2 | 570.2.v.b.197.2 | yes | 8 | ||
5.3 | odd | 4 | 570.2.v.b.83.1 | yes | 8 | ||
15.8 | even | 4 | inner | 570.2.v.a.83.2 | ✓ | 8 | |
19.11 | even | 3 | inner | 570.2.v.a.467.2 | yes | 8 | |
57.11 | odd | 6 | 570.2.v.b.467.1 | yes | 8 | ||
95.68 | odd | 12 | 570.2.v.b.353.2 | yes | 8 | ||
285.68 | even | 12 | inner | 570.2.v.a.353.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.v.a.83.2 | ✓ | 8 | 15.8 | even | 4 | inner | |
570.2.v.a.197.1 | yes | 8 | 1.1 | even | 1 | trivial | |
570.2.v.a.353.1 | yes | 8 | 285.68 | even | 12 | inner | |
570.2.v.a.467.2 | yes | 8 | 19.11 | even | 3 | inner | |
570.2.v.b.83.1 | yes | 8 | 5.3 | odd | 4 | ||
570.2.v.b.197.2 | yes | 8 | 3.2 | odd | 2 | ||
570.2.v.b.353.2 | yes | 8 | 95.68 | odd | 12 | ||
570.2.v.b.467.1 | yes | 8 | 57.11 | odd | 6 |