Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(163,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.3 | ||
Root | \(0.500000 + 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.487 |
Dual form | 1134.2.g.l.163.3 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.794182 | + | 1.37556i | 0.355169 | + | 0.615171i | 0.987147 | − | 0.159816i | \(-0.0510900\pi\) |
−0.631978 | + | 0.774986i | \(0.717757\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.40545 | − | 2.24159i | 0.531209 | − | 0.847241i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.794182 | − | 1.37556i | 0.251142 | − | 0.434991i | ||||
\(11\) | −0.794182 | + | 1.37556i | −0.239455 | + | 0.414748i | −0.960558 | − | 0.278080i | \(-0.910302\pi\) |
0.721103 | + | 0.692828i | \(0.243635\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.81089 | −1.33430 | −0.667151 | − | 0.744923i | \(-0.732486\pi\) | ||||
−0.667151 | + | 0.744923i | \(0.732486\pi\) | |||||||
\(14\) | −2.64400 | − | 0.0963576i | −0.706638 | − | 0.0257526i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.69963 | − | 4.67589i | 0.654756 | − | 1.13407i | −0.327199 | − | 0.944955i | \(-0.606105\pi\) |
0.981955 | − | 0.189115i | \(-0.0605620\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.54944 | − | 6.14781i | −0.814298 | − | 1.41041i | −0.909831 | − | 0.414979i | \(-0.863789\pi\) |
0.0955331 | − | 0.995426i | \(-0.469544\pi\) | |||||||
\(20\) | −1.58836 | −0.355169 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.58836 | 0.338640 | ||||||||
\(23\) | 0.150186 | + | 0.260130i | 0.0313159 | + | 0.0542408i | 0.881259 | − | 0.472634i | \(-0.156697\pi\) |
−0.849943 | + | 0.526875i | \(0.823364\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.23855 | − | 2.14523i | 0.247710 | − | 0.429046i | ||||
\(26\) | 2.40545 | + | 4.16635i | 0.471747 | + | 0.817089i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.23855 | + | 2.33795i | 0.234064 | + | 0.441830i | ||||
\(29\) | 8.27561 | 1.53674 | 0.768371 | − | 0.640004i | \(-0.221067\pi\) | ||||
0.768371 | + | 0.640004i | \(0.221067\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.35600 | − | 2.34867i | 0.243545 | − | 0.421833i | −0.718176 | − | 0.695861i | \(-0.755023\pi\) |
0.961722 | + | 0.274028i | \(0.0883561\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.39926 | −0.925965 | ||||||||
\(35\) | 4.19963 | + | 0.153051i | 0.709867 | + | 0.0258703i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | −3.54944 | + | 6.14781i | −0.575796 | + | 0.997307i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.794182 | + | 1.37556i | 0.125571 | + | 0.217496i | ||||
\(41\) | 5.87636 | 0.917733 | 0.458866 | − | 0.888505i | \(-0.348256\pi\) | ||||
0.458866 | + | 0.888505i | \(0.348256\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.66621 | 0.254094 | 0.127047 | − | 0.991897i | \(-0.459450\pi\) | ||||
0.127047 | + | 0.991897i | \(0.459450\pi\) | |||||||
\(44\) | −0.794182 | − | 1.37556i | −0.119727 | − | 0.207374i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.150186 | − | 0.260130i | 0.0221437 | − | 0.0383540i | ||||
\(47\) | 1.33310 | + | 2.30900i | 0.194453 | + | 0.336803i | 0.946721 | − | 0.322055i | \(-0.104373\pi\) |
−0.752268 | + | 0.658857i | \(0.771040\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.04944 | − | 6.30087i | −0.435635 | − | 0.900124i | ||||
\(50\) | −2.47710 | −0.350315 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.40545 | − | 4.16635i | 0.333575 | − | 0.577769i | ||||
\(53\) | −2.44437 | + | 4.23377i | −0.335760 | + | 0.581553i | −0.983630 | − | 0.180197i | \(-0.942326\pi\) |
0.647871 | + | 0.761750i | \(0.275660\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.52290 | −0.340188 | ||||||||
\(56\) | 1.40545 | − | 2.24159i | 0.187811 | − | 0.299545i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.13781 | − | 7.16689i | −0.543321 | − | 0.941059i | ||||
\(59\) | 3.23855 | − | 5.60933i | 0.421623 | − | 0.730273i | −0.574475 | − | 0.818522i | \(-0.694794\pi\) |
0.996098 | + | 0.0882491i | \(0.0281271\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.23855 | + | 3.87728i | 0.286617 | + | 0.496435i | 0.973000 | − | 0.230805i | \(-0.0741360\pi\) |
−0.686383 | + | 0.727240i | \(0.740803\pi\) | |||||||
\(62\) | −2.71201 | −0.344425 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.82072 | − | 6.61769i | −0.473902 | − | 0.820823i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.02654 | − | 8.70623i | 0.614090 | − | 1.06363i | −0.376454 | − | 0.926435i | \(-0.622857\pi\) |
0.990543 | − | 0.137199i | \(-0.0438101\pi\) | |||||||
\(68\) | 2.69963 | + | 4.67589i | 0.327378 | + | 0.567035i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.96727 | − | 3.71351i | −0.235134 | − | 0.443849i | ||||
\(71\) | −12.7207 | −1.50967 | −0.754833 | − | 0.655917i | \(-0.772282\pi\) | ||||
−0.754833 | + | 0.655917i | \(0.772282\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.02654 | − | 13.9024i | 0.939436 | − | 1.62715i | 0.172909 | − | 0.984938i | \(-0.444683\pi\) |
0.766527 | − | 0.642213i | \(-0.221983\pi\) | |||||||
\(74\) | 0.500000 | − | 0.866025i | 0.0581238 | − | 0.100673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.09888 | 0.814298 | ||||||||
\(77\) | 1.96727 | + | 3.71351i | 0.224191 | + | 0.423194i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.19344 | − | 7.26325i | −0.471799 | − | 0.817179i | 0.527681 | − | 0.849443i | \(-0.323062\pi\) |
−0.999479 | + | 0.0322635i | \(0.989728\pi\) | |||||||
\(80\) | 0.794182 | − | 1.37556i | 0.0887922 | − | 0.153793i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.93818 | − | 5.08907i | −0.324467 | − | 0.561994i | ||||
\(83\) | 2.36584 | 0.259684 | 0.129842 | − | 0.991535i | \(-0.458553\pi\) | ||||
0.129842 | + | 0.991535i | \(0.458553\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.57598 | 0.930196 | ||||||||
\(86\) | −0.833104 | − | 1.44298i | −0.0898359 | − | 0.155600i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.794182 | + | 1.37556i | −0.0846601 | + | 0.146636i | ||||
\(89\) | −1.60507 | − | 2.78007i | −0.170138 | − | 0.294687i | 0.768330 | − | 0.640054i | \(-0.221088\pi\) |
−0.938468 | + | 0.345367i | \(0.887755\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.76145 | + | 10.7840i | −0.708793 | + | 1.13047i | ||||
\(92\) | −0.300372 | −0.0313159 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.33310 | − | 2.30900i | 0.137499 | − | 0.238156i | ||||
\(95\) | 5.63781 | − | 9.76497i | 0.578427 | − | 1.00186i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.42402 | −0.144587 | −0.0722934 | − | 0.997383i | \(-0.523032\pi\) | ||||
−0.0722934 | + | 0.997383i | \(0.523032\pi\) | |||||||
\(98\) | −3.93199 | + | 5.79133i | −0.397191 | + | 0.585012i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.23855 | + | 2.14523i | 0.123855 | + | 0.214523i | ||||
\(101\) | 6.01671 | − | 10.4212i | 0.598685 | − | 1.03695i | −0.394330 | − | 0.918969i | \(-0.629023\pi\) |
0.993015 | − | 0.117984i | \(-0.0376432\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.04944 | + | 5.28179i | 0.300470 | + | 0.520430i | 0.976243 | − | 0.216680i | \(-0.0695230\pi\) |
−0.675772 | + | 0.737111i | \(0.736190\pi\) | |||||||
\(104\) | −4.81089 | −0.471747 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.88874 | 0.474836 | ||||||||
\(107\) | 1.54325 | + | 2.67299i | 0.149192 | + | 0.258408i | 0.930929 | − | 0.365200i | \(-0.118999\pi\) |
−0.781737 | + | 0.623608i | \(0.785666\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.14400 | − | 1.98146i | 0.109575 | − | 0.189789i | −0.806023 | − | 0.591884i | \(-0.798384\pi\) |
0.915598 | + | 0.402095i | \(0.131718\pi\) | |||||||
\(110\) | 1.26145 | + | 2.18490i | 0.120275 | + | 0.208322i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.64400 | − | 0.0963576i | −0.249834 | − | 0.00910494i | ||||
\(113\) | −19.4647 | −1.83109 | −0.915543 | − | 0.402219i | \(-0.868239\pi\) | ||||
−0.915543 | + | 0.402219i | \(0.868239\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.238550 | + | 0.413181i | −0.0222449 | + | 0.0385293i | ||||
\(116\) | −4.13781 | + | 7.16689i | −0.384186 | + | 0.665429i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.47710 | −0.596265 | ||||||||
\(119\) | −6.68725 | − | 12.6232i | −0.613019 | − | 1.15716i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.23855 | + | 7.34138i | 0.385323 | + | 0.667399i | ||||
\(122\) | 2.23855 | − | 3.87728i | 0.202669 | − | 0.351033i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.35600 | + | 2.34867i | 0.121773 | + | 0.210917i | ||||
\(125\) | 11.8764 | 1.06225 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.4400 | −1.19260 | −0.596302 | − | 0.802760i | \(-0.703364\pi\) | ||||
−0.596302 | + | 0.802760i | \(0.703364\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.82072 | + | 6.61769i | −0.335100 | + | 0.580410i | ||||
\(131\) | −1.58836 | − | 2.75113i | −0.138776 | − | 0.240367i | 0.788258 | − | 0.615345i | \(-0.210983\pi\) |
−0.927034 | + | 0.374978i | \(0.877650\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.7694 | − | 0.684031i | −1.62752 | − | 0.0593130i | ||||
\(134\) | −10.0531 | −0.868454 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.69963 | − | 4.67589i | 0.231491 | − | 0.400955i | ||||
\(137\) | −10.6316 | + | 18.4145i | −0.908320 | + | 1.57326i | −0.0919231 | + | 0.995766i | \(0.529301\pi\) |
−0.816397 | + | 0.577491i | \(0.804032\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.0531 | −1.10715 | −0.553574 | − | 0.832800i | \(-0.686736\pi\) | ||||
−0.553574 | + | 0.832800i | \(0.686736\pi\) | |||||||
\(140\) | −2.23236 | + | 3.56046i | −0.188669 | + | 0.300914i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.36033 | + | 11.0164i | 0.533747 | + | 0.924478i | ||||
\(143\) | 3.82072 | − | 6.61769i | 0.319505 | − | 0.553399i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.57234 | + | 11.3836i | 0.545803 | + | 0.945359i | ||||
\(146\) | −16.0531 | −1.32856 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.00000 | −0.0821995 | ||||||||
\(149\) | 2.60439 | + | 4.51093i | 0.213360 | + | 0.369550i | 0.952764 | − | 0.303712i | \(-0.0982261\pi\) |
−0.739404 | + | 0.673262i | \(0.764893\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.261450 | − | 0.452845i | 0.0212765 | − | 0.0368520i | −0.855191 | − | 0.518313i | \(-0.826560\pi\) |
0.876468 | + | 0.481461i | \(0.159894\pi\) | |||||||
\(152\) | −3.54944 | − | 6.14781i | −0.287898 | − | 0.498654i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.23236 | − | 3.56046i | 0.179889 | − | 0.286910i | ||||
\(155\) | 4.30766 | 0.345999 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.43199 | + | 7.67643i | −0.353711 | + | 0.612646i | −0.986897 | − | 0.161354i | \(-0.948414\pi\) |
0.633185 | + | 0.774000i | \(0.281747\pi\) | |||||||
\(158\) | −4.19344 | + | 7.26325i | −0.333612 | + | 0.577833i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.58836 | −0.125571 | ||||||||
\(161\) | 0.794182 | + | 0.0289431i | 0.0625903 | + | 0.00228104i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.9814 | + | 19.0204i | 0.860132 | + | 1.48979i | 0.871801 | + | 0.489860i | \(0.162952\pi\) |
−0.0116689 | + | 0.999932i | \(0.503714\pi\) | |||||||
\(164\) | −2.93818 | + | 5.08907i | −0.229433 | + | 0.397390i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.18292 | − | 2.04887i | −0.0918122 | − | 0.159023i | ||||
\(167\) | 3.30037 | 0.255390 | 0.127695 | − | 0.991813i | \(-0.459242\pi\) | ||||
0.127695 | + | 0.991813i | \(0.459242\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.1447 | 0.780360 | ||||||||
\(170\) | −4.28799 | − | 7.42702i | −0.328874 | − | 0.569626i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.833104 | + | 1.44298i | −0.0635236 | + | 0.110026i | ||||
\(173\) | 9.55377 | + | 16.5476i | 0.726360 | + | 1.25809i | 0.958412 | + | 0.285389i | \(0.0921227\pi\) |
−0.232052 | + | 0.972703i | \(0.574544\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.06801 | − | 5.79133i | −0.231920 | − | 0.437783i | ||||
\(176\) | 1.58836 | 0.119727 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.60507 | + | 2.78007i | −0.120305 | + | 0.208375i | ||||
\(179\) | 8.03706 | − | 13.9206i | 0.600718 | − | 1.04047i | −0.391994 | − | 0.919968i | \(-0.628215\pi\) |
0.992712 | − | 0.120507i | \(-0.0384520\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.05308 | 0.598581 | 0.299291 | − | 0.954162i | \(-0.403250\pi\) | ||||
0.299291 | + | 0.954162i | \(0.403250\pi\) | |||||||
\(182\) | 12.7200 | + | 0.463566i | 0.942868 | + | 0.0343618i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.150186 | + | 0.260130i | 0.0110719 | + | 0.0191770i | ||||
\(185\) | −0.794182 | + | 1.37556i | −0.0583894 | + | 0.101133i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.28799 | + | 7.42702i | 0.313569 | + | 0.543118i | ||||
\(188\) | −2.66621 | −0.194453 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.2756 | −0.818019 | ||||||||
\(191\) | −11.9814 | − | 20.7524i | −0.866946 | − | 1.50159i | −0.865102 | − | 0.501596i | \(-0.832746\pi\) |
−0.00184390 | − | 0.999998i | \(-0.500587\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.88255 | + | 8.45682i | −0.351453 | + | 0.608735i | −0.986504 | − | 0.163735i | \(-0.947646\pi\) |
0.635051 | + | 0.772470i | \(0.280979\pi\) | |||||||
\(194\) | 0.712008 | + | 1.23323i | 0.0511192 | + | 0.0885410i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.98143 | + | 0.509538i | 0.498674 | + | 0.0363956i | ||||
\(197\) | 18.2436 | 1.29980 | 0.649900 | − | 0.760020i | \(-0.274811\pi\) | ||||
0.649900 | + | 0.760020i | \(0.274811\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.04944 | − | 15.6741i | 0.641498 | − | 1.11111i | −0.343601 | − | 0.939116i | \(-0.611647\pi\) |
0.985098 | − | 0.171991i | \(-0.0550200\pi\) | |||||||
\(200\) | 1.23855 | − | 2.14523i | 0.0875787 | − | 0.151691i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −12.0334 | −0.846669 | ||||||||
\(203\) | 11.6309 | − | 18.5505i | 0.816331 | − | 1.30199i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.66690 | + | 8.08330i | 0.325950 | + | 0.564562i | ||||
\(206\) | 3.04944 | − | 5.28179i | 0.212465 | − | 0.368000i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.40545 | + | 4.16635i | 0.166788 | + | 0.288885i | ||||
\(209\) | 11.2756 | 0.779950 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.332415 | −0.0228844 | −0.0114422 | − | 0.999935i | \(-0.503642\pi\) | ||||
−0.0114422 | + | 0.999935i | \(0.503642\pi\) | |||||||
\(212\) | −2.44437 | − | 4.23377i | −0.167880 | − | 0.290776i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.54325 | − | 2.67299i | 0.105495 | − | 0.182722i | ||||
\(215\) | 1.32327 | + | 2.29197i | 0.0902464 | + | 0.156311i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.35896 | − | 6.34053i | −0.228021 | − | 0.430423i | ||||
\(218\) | −2.28799 | −0.154962 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.26145 | − | 2.18490i | 0.0850469 | − | 0.147306i | ||||
\(221\) | −12.9876 | + | 22.4952i | −0.873642 | + | 1.51319i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.33242 | −0.424050 | −0.212025 | − | 0.977264i | \(-0.568006\pi\) | ||||
−0.212025 | + | 0.977264i | \(0.568006\pi\) | |||||||
\(224\) | 1.23855 | + | 2.33795i | 0.0827541 | + | 0.156211i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.73236 | + | 16.8569i | 0.647387 | + | 1.12131i | ||||
\(227\) | −11.6545 | + | 20.1862i | −0.773537 | + | 1.33981i | 0.162075 | + | 0.986778i | \(0.448181\pi\) |
−0.935613 | + | 0.353028i | \(0.885152\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.47710 | + | 4.29046i | 0.163691 | + | 0.283522i | 0.936190 | − | 0.351495i | \(-0.114327\pi\) |
−0.772498 | + | 0.635017i | \(0.780993\pi\) | |||||||
\(230\) | 0.477100 | 0.0314590 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.27561 | 0.543321 | ||||||||
\(233\) | 7.13781 | + | 12.3630i | 0.467613 | + | 0.809930i | 0.999315 | − | 0.0370017i | \(-0.0117807\pi\) |
−0.531702 | + | 0.846932i | \(0.678447\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.11745 | + | 3.66754i | −0.138127 | + | 0.239244i | ||||
\(236\) | 3.23855 | + | 5.60933i | 0.210812 | + | 0.365136i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.58836 | + | 12.1029i | −0.491881 | + | 0.784515i | ||||
\(239\) | 4.97524 | 0.321822 | 0.160911 | − | 0.986969i | \(-0.448557\pi\) | ||||
0.160911 | + | 0.986969i | \(0.448557\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.50000 | − | 11.2583i | 0.418702 | − | 0.725213i | −0.577107 | − | 0.816668i | \(-0.695819\pi\) |
0.995809 | + | 0.0914555i | \(0.0291519\pi\) | |||||||
\(242\) | 4.23855 | − | 7.34138i | 0.272464 | − | 0.471922i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.47710 | −0.286617 | ||||||||
\(245\) | 6.24543 | − | 9.19874i | 0.399006 | − | 0.587686i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.0760 | + | 29.5765i | 1.08652 | + | 1.88191i | ||||
\(248\) | 1.35600 | − | 2.34867i | 0.0861063 | − | 0.149141i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.93818 | − | 10.2852i | −0.375563 | − | 0.650495i | ||||
\(251\) | −2.43268 | −0.153549 | −0.0767746 | − | 0.997048i | \(-0.524462\pi\) | ||||
−0.0767746 | + | 0.997048i | \(0.524462\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.477100 | −0.0299950 | ||||||||
\(254\) | 6.71998 | + | 11.6393i | 0.421649 | + | 0.730318i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.493810 | − | 0.855304i | −0.0308030 | − | 0.0533524i | 0.850213 | − | 0.526439i | \(-0.176473\pi\) |
−0.881016 | + | 0.473087i | \(0.843140\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.64400 | + | 0.0963576i | 0.164290 | + | 0.00598737i | ||||
\(260\) | 7.64145 | 0.473902 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.58836 | + | 2.75113i | −0.0981295 | + | 0.169965i | ||||
\(263\) | 8.59269 | − | 14.8830i | 0.529848 | − | 0.917724i | −0.469545 | − | 0.882908i | \(-0.655582\pi\) |
0.999394 | − | 0.0348158i | \(-0.0110845\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.76509 | −0.477006 | ||||||||
\(266\) | 8.79232 | + | 16.5968i | 0.539092 | + | 1.01762i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.02654 | + | 8.70623i | 0.307045 | + | 0.531817i | ||||
\(269\) | −11.4523 | + | 19.8360i | −0.698262 | + | 1.20942i | 0.270807 | + | 0.962634i | \(0.412709\pi\) |
−0.969069 | + | 0.246791i | \(0.920624\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.00364 | + | 12.1307i | 0.425441 | + | 0.736885i | 0.996462 | − | 0.0840504i | \(-0.0267857\pi\) |
−0.571021 | + | 0.820936i | \(0.693452\pi\) | |||||||
\(272\) | −5.39926 | −0.327378 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.2632 | 1.28456 | ||||||||
\(275\) | 1.96727 | + | 3.40741i | 0.118631 | + | 0.205474i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.1476 | + | 24.5044i | −0.850049 | + | 1.47233i | 0.0311139 | + | 0.999516i | \(0.490095\pi\) |
−0.881163 | + | 0.472813i | \(0.843239\pi\) | |||||||
\(278\) | 6.52654 | + | 11.3043i | 0.391436 | + | 0.677987i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.19963 | + | 0.153051i | 0.250976 | + | 0.00914654i | ||||
\(281\) | −17.5956 | −1.04967 | −0.524834 | − | 0.851204i | \(-0.675873\pi\) | ||||
−0.524834 | + | 0.851204i | \(0.675873\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.26145 | − | 16.0413i | 0.550536 | − | 0.953556i | −0.447700 | − | 0.894184i | \(-0.647757\pi\) |
0.998236 | − | 0.0593725i | \(-0.0189100\pi\) | |||||||
\(284\) | 6.36033 | − | 11.0164i | 0.377416 | − | 0.653704i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.64145 | −0.451848 | ||||||||
\(287\) | 8.25890 | − | 13.1724i | 0.487508 | − | 0.777541i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.07598 | − | 10.5239i | −0.357411 | − | 0.619054i | ||||
\(290\) | 6.57234 | − | 11.3836i | 0.385941 | − | 0.668470i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.02654 | + | 13.9024i | 0.469718 | + | 0.813575i | ||||
\(293\) | −14.0851 | −0.822862 | −0.411431 | − | 0.911441i | \(-0.634971\pi\) | ||||
−0.411431 | + | 0.911441i | \(0.634971\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.2880 | 0.598990 | ||||||||
\(296\) | 0.500000 | + | 0.866025i | 0.0290619 | + | 0.0503367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.60439 | − | 4.51093i | 0.150868 | − | 0.261311i | ||||
\(299\) | −0.722528 | − | 1.25146i | −0.0417849 | − | 0.0723736i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.34176 | − | 3.73495i | 0.134977 | − | 0.215279i | ||||
\(302\) | −0.522900 | −0.0300895 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.54944 | + | 6.14781i | −0.203574 | + | 0.352601i | ||||
\(305\) | −3.55563 | + | 6.15854i | −0.203595 | + | 0.352637i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.85532 | −0.334180 | −0.167090 | − | 0.985942i | \(-0.553437\pi\) | ||||
−0.167090 | + | 0.985942i | \(0.553437\pi\) | |||||||
\(308\) | −4.19963 | − | 0.153051i | −0.239296 | − | 0.00872089i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.15383 | − | 3.73054i | −0.122329 | − | 0.211880i | ||||
\(311\) | 0.405446 | − | 0.702253i | 0.0229907 | − | 0.0398211i | −0.854301 | − | 0.519778i | \(-0.826015\pi\) |
0.877292 | + | 0.479957i | \(0.159348\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.28799 | − | 9.15907i | −0.298895 | − | 0.517701i | 0.676988 | − | 0.735994i | \(-0.263285\pi\) |
−0.975883 | + | 0.218292i | \(0.929951\pi\) | |||||||
\(314\) | 8.86398 | 0.500223 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.38688 | 0.471799 | ||||||||
\(317\) | 6.09820 | + | 10.5624i | 0.342509 | + | 0.593243i | 0.984898 | − | 0.173136i | \(-0.0553900\pi\) |
−0.642389 | + | 0.766379i | \(0.722057\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.57234 | + | 11.3836i | −0.367981 | + | 0.637361i | ||||
\(320\) | 0.794182 | + | 1.37556i | 0.0443961 | + | 0.0768963i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.372026 | − | 0.702253i | −0.0207322 | − | 0.0391350i | ||||
\(323\) | −38.3287 | −2.13267 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.95853 | + | 10.3205i | −0.330520 | + | 0.572477i | ||||
\(326\) | 10.9814 | − | 19.0204i | 0.608205 | − | 1.05344i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.87636 | 0.324467 | ||||||||
\(329\) | 7.04944 | + | 0.256909i | 0.388648 | + | 0.0141639i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.83310 | + | 13.5673i | 0.430546 | + | 0.745728i | 0.996920 | − | 0.0784202i | \(-0.0249876\pi\) |
−0.566374 | + | 0.824148i | \(0.691654\pi\) | |||||||
\(332\) | −1.18292 | + | 2.04887i | −0.0649211 | + | 0.112447i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.65019 | − | 2.85821i | −0.0902942 | − | 0.156394i | ||||
\(335\) | 15.9680 | 0.872423 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.42402 | 0.458885 | 0.229443 | − | 0.973322i | \(-0.426310\pi\) | ||||
0.229443 | + | 0.973322i | \(0.426310\pi\) | |||||||
\(338\) | −5.07234 | − | 8.78555i | −0.275899 | − | 0.477871i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.28799 | + | 7.42702i | −0.232549 | + | 0.402787i | ||||
\(341\) | 2.15383 | + | 3.73054i | 0.116636 | + | 0.202020i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4098 | − | 2.01993i | −0.994035 | − | 0.109066i | ||||
\(344\) | 1.66621 | 0.0898359 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.55377 | − | 16.5476i | 0.513614 | − | 0.889606i | ||||
\(347\) | 0.283662 | − | 0.491316i | 0.0152277 | − | 0.0263752i | −0.858311 | − | 0.513130i | \(-0.828486\pi\) |
0.873539 | + | 0.486754i | \(0.161819\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.00728378 | 0.000389892 | 0.000194946 | − | 1.00000i | \(-0.499938\pi\) | ||||
0.000194946 | 1.00000i | \(0.499938\pi\) | ||||||||
\(350\) | −3.48143 | + | 5.55264i | −0.186090 | + | 0.296801i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.794182 | − | 1.37556i | −0.0423300 | − | 0.0733178i | ||||
\(353\) | 3.32691 | − | 5.76238i | 0.177074 | − | 0.306701i | −0.763803 | − | 0.645449i | \(-0.776670\pi\) |
0.940877 | + | 0.338748i | \(0.110004\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.1025 | − | 17.4981i | −0.536186 | − | 0.928702i | ||||
\(356\) | 3.21015 | 0.170138 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −16.0741 | −0.849544 | ||||||||
\(359\) | 0.398568 | + | 0.690339i | 0.0210356 | + | 0.0364347i | 0.876352 | − | 0.481672i | \(-0.159970\pi\) |
−0.855316 | + | 0.518107i | \(0.826637\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.6971 | + | 27.1881i | −0.826162 | + | 1.43095i | ||||
\(362\) | −4.02654 | − | 6.97418i | −0.211630 | − | 0.366555i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.95853 | − | 11.2476i | −0.312312 | − | 0.589535i | ||||
\(365\) | 25.4981 | 1.33463 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.71634 | − | 13.3651i | 0.402790 | − | 0.697652i | −0.591272 | − | 0.806472i | \(-0.701374\pi\) |
0.994061 | + | 0.108820i | \(0.0347073\pi\) | |||||||
\(368\) | 0.150186 | − | 0.260130i | 0.00782898 | − | 0.0135602i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.58836 | 0.0825751 | ||||||||
\(371\) | 6.05494 | + | 11.4296i | 0.314357 | + | 0.593395i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.12110 | − | 8.87000i | −0.265160 | − | 0.459271i | 0.702445 | − | 0.711738i | \(-0.252092\pi\) |
−0.967606 | + | 0.252467i | \(0.918758\pi\) | |||||||
\(374\) | 4.28799 | − | 7.42702i | 0.221727 | − | 0.384042i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.33310 | + | 2.30900i | 0.0687496 | + | 0.119078i | ||||
\(377\) | −39.8131 | −2.05048 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.0087 | 1.28461 | 0.642304 | − | 0.766450i | \(-0.277979\pi\) | ||||
0.642304 | + | 0.766450i | \(0.277979\pi\) | |||||||
\(380\) | 5.63781 | + | 9.76497i | 0.289213 | + | 0.500932i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.9814 | + | 20.7524i | −0.613023 | + | 1.06179i | ||||
\(383\) | −3.13348 | − | 5.42734i | −0.160113 | − | 0.277324i | 0.774796 | − | 0.632211i | \(-0.217853\pi\) |
−0.934909 | + | 0.354887i | \(0.884519\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.54580 | + | 5.65531i | −0.180711 | + | 0.288221i | ||||
\(386\) | 9.76509 | 0.497030 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.712008 | − | 1.23323i | 0.0361467 | − | 0.0626080i | ||||
\(389\) | −10.8171 | + | 18.7357i | −0.548448 | + | 0.949940i | 0.449933 | + | 0.893062i | \(0.351448\pi\) |
−0.998381 | + | 0.0568774i | \(0.981886\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.62178 | 0.0820172 | ||||||||
\(392\) | −3.04944 | − | 6.30087i | −0.154020 | − | 0.318242i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.12178 | − | 15.7994i | −0.459549 | − | 0.795962i | ||||
\(395\) | 6.66071 | − | 11.5367i | 0.335137 | − | 0.580473i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.05308 | + | 3.55605i | 0.103041 | + | 0.178473i | 0.912936 | − | 0.408102i | \(-0.133809\pi\) |
−0.809895 | + | 0.586575i | \(0.800476\pi\) | |||||||
\(398\) | −18.0989 | −0.907215 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.47710 | −0.123855 | ||||||||
\(401\) | 8.37085 | + | 14.4987i | 0.418021 | + | 0.724033i | 0.995740 | − | 0.0922024i | \(-0.0293907\pi\) |
−0.577720 | + | 0.816235i | \(0.696057\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.52359 | + | 11.2992i | −0.324963 | + | 0.562853i | ||||
\(404\) | 6.01671 | + | 10.4212i | 0.299343 | + | 0.518476i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.8807 | − | 0.797418i | −1.08592 | − | 0.0395752i | ||||
\(407\) | −1.58836 | −0.0787323 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.38255 | − | 7.59079i | 0.216703 | − | 0.375341i | −0.737095 | − | 0.675789i | \(-0.763803\pi\) |
0.953798 | + | 0.300449i | \(0.0971364\pi\) | |||||||
\(410\) | 4.66690 | − | 8.08330i | 0.230482 | − | 0.399206i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.09888 | −0.300470 | ||||||||
\(413\) | −8.02221 | − | 15.1431i | −0.394747 | − | 0.745144i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.87890 | + | 3.25436i | 0.0922318 | + | 0.159750i | ||||
\(416\) | 2.40545 | − | 4.16635i | 0.117937 | − | 0.204272i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.63781 | − | 9.76497i | −0.275754 | − | 0.477620i | ||||
\(419\) | −0.420297 | −0.0205329 | −0.0102664 | − | 0.999947i | \(-0.503268\pi\) | ||||
−0.0102664 | + | 0.999947i | \(0.503268\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.57598 | −0.320494 | −0.160247 | − | 0.987077i | \(-0.551229\pi\) | ||||
−0.160247 | + | 0.987077i | \(0.551229\pi\) | |||||||
\(422\) | 0.166208 | + | 0.287880i | 0.00809086 | + | 0.0140138i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.44437 | + | 4.23377i | −0.118709 | + | 0.205610i | ||||
\(425\) | −6.68725 | − | 11.5827i | −0.324379 | − | 0.561841i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.8374 | + | 0.431403i | 0.572854 | + | 0.0208770i | ||||
\(428\) | −3.08650 | −0.149192 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.32327 | − | 2.29197i | 0.0638138 | − | 0.110529i | ||||
\(431\) | −11.0439 | + | 19.1287i | −0.531968 | + | 0.921395i | 0.467336 | + | 0.884080i | \(0.345214\pi\) |
−0.999304 | + | 0.0373155i | \(0.988119\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.43268 | −0.453306 | −0.226653 | − | 0.973976i | \(-0.572778\pi\) | ||||
−0.226653 | + | 0.973976i | \(0.572778\pi\) | |||||||
\(434\) | −3.81158 | + | 6.07921i | −0.182962 | + | 0.291811i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.14400 | + | 1.98146i | 0.0547875 | + | 0.0948947i | ||||
\(437\) | 1.06615 | − | 1.84663i | 0.0510010 | − | 0.0883363i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.6032 | + | 27.0256i | 0.744701 | + | 1.28986i | 0.950334 | + | 0.311231i | \(0.100741\pi\) |
−0.205634 | + | 0.978629i | \(0.565926\pi\) | |||||||
\(440\) | −2.52290 | −0.120275 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.9752 | 1.23552 | ||||||||
\(443\) | 6.52723 | + | 11.3055i | 0.310118 | + | 0.537140i | 0.978388 | − | 0.206779i | \(-0.0662981\pi\) |
−0.668270 | + | 0.743919i | \(0.732965\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.54944 | − | 4.41576i | 0.120855 | − | 0.209327i | ||||
\(446\) | 3.16621 | + | 5.48403i | 0.149924 | + | 0.259676i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.40545 | − | 2.24159i | 0.0664011 | − | 0.105905i | ||||
\(449\) | 9.91706 | 0.468015 | 0.234008 | − | 0.972235i | \(-0.424816\pi\) | ||||
0.234008 | + | 0.972235i | \(0.424816\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.66690 | + | 8.08330i | −0.219756 | + | 0.380628i | ||||
\(452\) | 9.73236 | − | 16.8569i | 0.457772 | − | 0.792884i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 23.3090 | 1.09395 | ||||||||
\(455\) | −20.2040 | − | 0.736312i | −0.947176 | − | 0.0345188i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.2615 | + | 21.2375i | 0.573566 | + | 0.993446i | 0.996196 | + | 0.0871436i | \(0.0277739\pi\) |
−0.422629 | + | 0.906303i | \(0.638893\pi\) | |||||||
\(458\) | 2.47710 | − | 4.29046i | 0.115747 | − | 0.200480i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.238550 | − | 0.413181i | −0.0111224 | − | 0.0192646i | ||||
\(461\) | 3.51052 | 0.163501 | 0.0817506 | − | 0.996653i | \(-0.473949\pi\) | ||||
0.0817506 | + | 0.996653i | \(0.473949\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.3883 | −0.808101 | −0.404050 | − | 0.914737i | \(-0.632398\pi\) | ||||
−0.404050 | + | 0.914737i | \(0.632398\pi\) | |||||||
\(464\) | −4.13781 | − | 7.16689i | −0.192093 | − | 0.332715i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.13781 | − | 12.3630i | 0.330652 | − | 0.572707i | ||||
\(467\) | −6.69894 | − | 11.6029i | −0.309990 | − | 0.536918i | 0.668370 | − | 0.743829i | \(-0.266992\pi\) |
−0.978360 | + | 0.206911i | \(0.933659\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.4512 | − | 23.5036i | −0.574945 | − | 1.08529i | ||||
\(470\) | 4.23491 | 0.195342 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.23855 | − | 5.60933i | 0.149066 | − | 0.258190i | ||||
\(473\) | −1.32327 | + | 2.29197i | −0.0608441 | + | 0.105385i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.5846 | −0.806839 | ||||||||
\(476\) | 14.2756 | + | 0.520259i | 0.654322 | + | 0.0238460i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.48762 | − | 4.30868i | −0.113781 | − | 0.197075i | ||||
\(479\) | 10.4029 | − | 18.0183i | 0.475321 | − | 0.823279i | −0.524280 | − | 0.851546i | \(-0.675665\pi\) |
0.999600 | + | 0.0282667i | \(0.00899876\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.40545 | − | 4.16635i | −0.109679 | − | 0.189969i | ||||
\(482\) | −13.0000 | −0.592134 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.47710 | −0.385323 | ||||||||
\(485\) | −1.13093 | − | 1.95882i | −0.0513528 | − | 0.0889456i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.2472 | − | 28.1410i | 0.736231 | − | 1.27519i | −0.217950 | − | 0.975960i | \(-0.569937\pi\) |
0.954181 | − | 0.299230i | \(-0.0967298\pi\) | |||||||
\(488\) | 2.23855 | + | 3.87728i | 0.101334 | + | 0.175516i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.0891 | − | 0.809332i | −0.500952 | − | 0.0365619i | ||||
\(491\) | −19.3214 | −0.871963 | −0.435982 | − | 0.899956i | \(-0.643599\pi\) | ||||
−0.435982 | + | 0.899956i | \(0.643599\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.3411 | − | 38.6959i | 1.00619 | − | 1.74277i | ||||
\(494\) | 17.0760 | − | 29.5765i | 0.768285 | − | 1.33071i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.71201 | −0.121773 | ||||||||
\(497\) | −17.8782 | + | 28.5145i | −0.801948 | + | 1.27905i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.57530 | + | 9.65670i | 0.249585 | + | 0.432293i | 0.963411 | − | 0.268030i | \(-0.0863726\pi\) |
−0.713826 | + | 0.700323i | \(0.753039\pi\) | |||||||
\(500\) | −5.93818 | + | 10.2852i | −0.265563 | + | 0.459969i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.21634 | + | 2.10676i | 0.0542878 | + | 0.0940293i | ||||
\(503\) | 40.7651 | 1.81763 | 0.908813 | − | 0.417204i | \(-0.136990\pi\) | ||||
0.908813 | + | 0.417204i | \(0.136990\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.1135 | 0.850537 | ||||||||
\(506\) | 0.238550 | + | 0.413181i | 0.0106048 | + | 0.0183681i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.71998 | − | 11.6393i | 0.298151 | − | 0.516413i | ||||
\(509\) | 0.722528 | + | 1.25146i | 0.0320255 | + | 0.0554698i | 0.881594 | − | 0.472009i | \(-0.156471\pi\) |
−0.849568 | + | 0.527478i | \(0.823138\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −19.8825 | − | 37.5313i | −0.879552 | − | 1.66028i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.493810 | + | 0.855304i | −0.0217810 | + | 0.0377259i | ||||
\(515\) | −4.84362 | + | 8.38940i | −0.213436 | + | 0.369681i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.23491 | −0.186251 | ||||||||
\(518\) | −1.23855 | − | 2.33795i | −0.0544188 | − | 0.102723i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.82072 | − | 6.61769i | −0.167550 | − | 0.290205i | ||||
\(521\) | −9.64214 | + | 16.7007i | −0.422430 | + | 0.731670i | −0.996177 | − | 0.0873630i | \(-0.972156\pi\) |
0.573747 | + | 0.819033i | \(0.305489\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.3454 | − | 31.7752i | −0.802189 | − | 1.38943i | −0.918173 | − | 0.396180i | \(-0.870335\pi\) |
0.115984 | − | 0.993251i | \(-0.462998\pi\) | |||||||
\(524\) | 3.17673 | 0.138776 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.1854 | −0.749319 | ||||||||
\(527\) | −7.32141 | − | 12.6811i | −0.318926 | − | 0.552396i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4549 | − | 19.8404i | 0.498039 | − | 0.862628i | ||||
\(530\) | 3.88255 | + | 6.72477i | 0.168647 | + | 0.292105i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.97710 | − | 15.9128i | 0.432562 | − | 0.689907i | ||||
\(533\) | −28.2705 | −1.22453 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.45125 | + | 4.24568i | −0.105977 | + | 0.183557i | ||||
\(536\) | 5.02654 | − | 8.70623i | 0.217114 | − | 0.376052i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.9047 | 0.987491 | ||||||||
\(539\) | 11.0891 | + | 0.809332i | 0.477639 | + | 0.0348604i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.62543 | − | 2.81532i | −0.0698825 | − | 0.121040i | 0.828967 | − | 0.559298i | \(-0.188929\pi\) |
−0.898849 | + | 0.438258i | \(0.855596\pi\) | |||||||
\(542\) | 7.00364 | − | 12.1307i | 0.300832 | − | 0.521057i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.69963 | + | 4.67589i | 0.115746 | + | 0.200477i | ||||
\(545\) | 3.63416 | 0.155670 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.91706 | 0.252995 | 0.126498 | − | 0.991967i | \(-0.459626\pi\) | ||||
0.126498 | + | 0.991967i | \(0.459626\pi\) | |||||||
\(548\) | −10.6316 | − | 18.4145i | −0.454160 | − | 0.786628i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.96727 | − | 3.40741i | 0.0838846 | − | 0.145292i | ||||
\(551\) | −29.3738 | − | 50.8769i | −1.25137 | − | 2.16743i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −22.1749 | − | 0.808139i | −0.942971 | − | 0.0343656i | ||||
\(554\) | 28.2953 | 1.20215 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.52654 | − | 11.3043i | 0.276787 | − | 0.479409i | ||||
\(557\) | −12.8040 | + | 22.1772i | −0.542523 | + | 0.939678i | 0.456235 | + | 0.889859i | \(0.349198\pi\) |
−0.998758 | + | 0.0498188i | \(0.984136\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.01594 | −0.339038 | ||||||||
\(560\) | −1.96727 | − | 3.71351i | −0.0831322 | − | 0.156924i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.79782 | + | 15.2383i | 0.371114 | + | 0.642788i | ||||
\(563\) | −23.3189 | + | 40.3895i | −0.982773 | + | 1.70221i | −0.331330 | + | 0.943515i | \(0.607497\pi\) |
−0.651443 | + | 0.758698i | \(0.725836\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.4585 | − | 26.7750i | −0.650345 | − | 1.12643i | ||||
\(566\) | −18.5229 | −0.778576 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.7207 | −0.533747 | ||||||||
\(569\) | 15.5989 | + | 27.0181i | 0.653939 | + | 1.13266i | 0.982159 | + | 0.188054i | \(0.0602182\pi\) |
−0.328219 | + | 0.944602i | \(0.606449\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.83812 | − | 13.5760i | 0.328015 | − | 0.568139i | −0.654103 | − | 0.756406i | \(-0.726954\pi\) |
0.982118 | + | 0.188267i | \(0.0602869\pi\) | |||||||
\(572\) | 3.82072 | + | 6.61769i | 0.159752 | + | 0.276699i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −15.5371 | − | 0.566231i | −0.648504 | − | 0.0236340i | ||||
\(575\) | 0.744051 | 0.0310291 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.99567 | − | 12.1169i | 0.291234 | − | 0.504431i | −0.682868 | − | 0.730542i | \(-0.739268\pi\) |
0.974102 | + | 0.226110i | \(0.0726010\pi\) | |||||||
\(578\) | −6.07598 | + | 10.5239i | −0.252728 | + | 0.437737i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −13.1447 | −0.545803 | ||||||||
\(581\) | 3.32505 | − | 5.30323i | 0.137947 | − | 0.220015i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.88255 | − | 6.72477i | −0.160799 | − | 0.278511i | ||||
\(584\) | 8.02654 | − | 13.9024i | 0.332141 | − | 0.575285i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.04256 | + | 12.1981i | 0.290926 | + | 0.503898i | ||||
\(587\) | 2.89602 | 0.119532 | 0.0597658 | − | 0.998212i | \(-0.480965\pi\) | ||||
0.0597658 | + | 0.998212i | \(0.480965\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.2522 | −0.793274 | ||||||||
\(590\) | −5.14400 | − | 8.90966i | −0.211775 | − | 0.366805i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.500000 | − | 0.866025i | 0.0205499 | − | 0.0355934i | ||||
\(593\) | 2.04394 | + | 3.54021i | 0.0839346 | + | 0.145379i | 0.904937 | − | 0.425546i | \(-0.139918\pi\) |
−0.821002 | + | 0.570925i | \(0.806585\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.0531 | − | 19.2238i | 0.494128 | − | 0.788100i | ||||
\(596\) | −5.20877 | −0.213360 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.722528 | + | 1.25146i | −0.0295464 | + | 0.0511758i | ||||
\(599\) | −9.88255 | + | 17.1171i | −0.403790 | + | 0.699385i | −0.994180 | − | 0.107734i | \(-0.965641\pi\) |
0.590390 | + | 0.807118i | \(0.298974\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 26.8640 | 1.09580 | 0.547902 | − | 0.836542i | \(-0.315427\pi\) | ||||
0.547902 | + | 0.836542i | \(0.315427\pi\) | |||||||
\(602\) | −4.40545 | − | 0.160552i | −0.179553 | − | 0.00654360i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.261450 | + | 0.452845i | 0.0106383 | + | 0.0184260i | ||||
\(605\) | −6.73236 | + | 11.6608i | −0.273709 | + | 0.474079i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.62110 | + | 13.2001i | 0.309331 | + | 0.535777i | 0.978216 | − | 0.207589i | \(-0.0665617\pi\) |
−0.668885 | + | 0.743366i | \(0.733228\pi\) | |||||||
\(608\) | 7.09888 | 0.287898 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.11126 | 0.287927 | ||||||||
\(611\) | −6.41342 | − | 11.1084i | −0.259459 | − | 0.449396i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.36033 | + | 2.35617i | −0.0549434 | + | 0.0951648i | −0.892189 | − | 0.451662i | \(-0.850831\pi\) |
0.837246 | + | 0.546827i | \(0.184165\pi\) | |||||||
\(614\) | 2.92766 | + | 5.07085i | 0.118151 | + | 0.204643i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.96727 | + | 3.71351i | 0.0792635 | + | 0.149622i | ||||
\(617\) | −18.4362 | −0.742215 | −0.371108 | − | 0.928590i | \(-0.621022\pi\) | ||||
−0.371108 | + | 0.928590i | \(0.621022\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.0537728 | + | 0.0931373i | −0.00216131 | + | 0.00374350i | −0.867104 | − | 0.498127i | \(-0.834021\pi\) |
0.864943 | + | 0.501871i | \(0.167355\pi\) | |||||||
\(620\) | −2.15383 | + | 3.73054i | −0.0864998 | + | 0.149822i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.810892 | −0.0325138 | ||||||||
\(623\) | −8.48762 | − | 0.309322i | −0.340049 | − | 0.0123927i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.23924 | + | 5.61053i | 0.129570 | + | 0.224421i | ||||
\(626\) | −5.28799 | + | 9.15907i | −0.211351 | + | 0.366070i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.43199 | − | 7.67643i | −0.176856 | − | 0.306323i | ||||
\(629\) | 5.39926 | 0.215282 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.7266 | 1.42225 | 0.711126 | − | 0.703064i | \(-0.248185\pi\) | ||||
0.711126 | + | 0.703064i | \(0.248185\pi\) | |||||||
\(632\) | −4.19344 | − | 7.26325i | −0.166806 | − | 0.288916i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.09820 | − | 10.5624i | 0.242190 | − | 0.419486i | ||||
\(635\) | −10.6738 | − | 18.4875i | −0.423576 | − | 0.733655i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.6705 | + | 30.3128i | 0.581268 | + | 1.20104i | ||||
\(638\) | 13.1447 | 0.520403 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.794182 | − | 1.37556i | 0.0313928 | − | 0.0543739i | ||||
\(641\) | 8.65638 | − | 14.9933i | 0.341906 | − | 0.592199i | −0.642880 | − | 0.765967i | \(-0.722261\pi\) |
0.984787 | + | 0.173767i | \(0.0555941\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −28.9642 | −1.14224 | −0.571119 | − | 0.820867i | \(-0.693491\pi\) | ||||
−0.571119 | + | 0.820867i | \(0.693491\pi\) | |||||||
\(644\) | −0.422156 | + | 0.673310i | −0.0166353 | + | 0.0265321i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 19.1643 | + | 33.1936i | 0.754011 | + | 1.30599i | ||||
\(647\) | −1.27816 | + | 2.21384i | −0.0502497 | + | 0.0870350i | −0.890056 | − | 0.455851i | \(-0.849335\pi\) |
0.839807 | + | 0.542886i | \(0.182668\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.14400 | + | 8.90966i | 0.201920 | + | 0.349735i | ||||
\(650\) | 11.9171 | 0.467426 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −21.9629 | −0.860132 | ||||||||
\(653\) | 14.9883 | + | 25.9605i | 0.586538 | + | 1.01591i | 0.994682 | + | 0.102996i | \(0.0328428\pi\) |
−0.408144 | + | 0.912918i | \(0.633824\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.52290 | − | 4.36979i | 0.0985779 | − | 0.170742i | ||||
\(656\) | −2.93818 | − | 5.08907i | −0.114717 | − | 0.198695i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.30223 | − | 6.23345i | −0.128734 | − | 0.243005i | ||||
\(659\) | −15.2632 | −0.594571 | −0.297286 | − | 0.954789i | \(-0.596081\pi\) | ||||
−0.297286 | + | 0.954789i | \(0.596081\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.6261 | − | 23.6011i | 0.529994 | − | 0.917977i | −0.469393 | − | 0.882989i | \(-0.655527\pi\) |
0.999388 | − | 0.0349881i | \(-0.0111393\pi\) | |||||||
\(662\) | 7.83310 | − | 13.5673i | 0.304442 | − | 0.527309i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.36584 | 0.0918122 | ||||||||
\(665\) | −13.9654 | − | 26.3618i | −0.541555 | − | 1.02227i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.24288 | + | 2.15273i | 0.0481245 | + | 0.0833541i | ||||
\(668\) | −1.65019 | + | 2.85821i | −0.0638476 | + | 0.110587i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.98398 | − | 13.8287i | −0.308448 | − | 0.534248i | ||||
\(671\) | −7.11126 | −0.274527 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −46.4559 | −1.79074 | −0.895372 | − | 0.445319i | \(-0.853090\pi\) | ||||
−0.895372 | + | 0.445319i | \(0.853090\pi\) | |||||||
\(674\) | −4.21201 | − | 7.29541i | −0.162240 | − | 0.281009i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.07234 | + | 8.78555i | −0.195090 | + | 0.337906i | ||||
\(677\) | 2.54944 | + | 4.41576i | 0.0979830 | + | 0.169712i | 0.910850 | − | 0.412738i | \(-0.135428\pi\) |
−0.812867 | + | 0.582450i | \(0.802094\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.00138 | + | 3.19206i | −0.0768058 | + | 0.122500i | ||||
\(680\) | 8.57598 | 0.328874 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.15383 | − | 3.73054i | 0.0824743 | − | 0.142850i | ||||
\(683\) | 7.77197 | − | 13.4614i | 0.297386 | − | 0.515088i | −0.678151 | − | 0.734923i | \(-0.737218\pi\) |
0.975537 | + | 0.219835i | \(0.0705518\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −33.7738 | −1.29043 | ||||||||
\(686\) | 7.45558 | + | 16.9533i | 0.284655 | + | 0.647280i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.833104 | − | 1.44298i | −0.0317618 | − | 0.0550130i | ||||
\(689\) | 11.7596 | − | 20.3682i | 0.448005 | − | 0.775967i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.6483 | − | 20.1755i | −0.443123 | − | 0.767512i | 0.554796 | − | 0.831986i | \(-0.312796\pi\) |
−0.997919 | + | 0.0644744i | \(0.979463\pi\) | |||||||
\(692\) | −19.1075 | −0.726360 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.567323 | −0.0215353 | ||||||||
\(695\) | −10.3665 | − | 17.9553i | −0.393225 | − | 0.681085i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.8640 | − | 27.4772i | 0.600891 | − | 1.04077i | ||||
\(698\) | −0.00364189 | − | 0.00630794i | −0.000137848 | − | 0.000238759i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.54944 | + | 0.238687i | 0.247546 | + | 0.00902153i | ||||
\(701\) | 45.6464 | 1.72404 | 0.862020 | − | 0.506874i | \(-0.169199\pi\) | ||||
0.862020 | + | 0.506874i | \(0.169199\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.54944 | − | 6.14781i | 0.133870 | − | 0.231869i | ||||
\(704\) | −0.794182 | + | 1.37556i | −0.0299319 | + | 0.0518435i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.65383 | −0.250420 | ||||||||
\(707\) | −14.9040 | − | 28.1335i | −0.560522 | − | 1.05807i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.00069 | − | 15.5897i | −0.338028 | − | 0.585482i | 0.646034 | − | 0.763309i | \(-0.276427\pi\) |
−0.984062 | + | 0.177827i | \(0.943093\pi\) | |||||||
\(710\) | −10.1025 | + | 17.4981i | −0.379141 | + | 0.656692i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.60507 | − | 2.78007i | −0.0601527 | − | 0.104188i | ||||
\(713\) | 0.814611 | 0.0305074 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.1374 | 0.453913 | ||||||||
\(716\) | 8.03706 | + | 13.9206i | 0.300359 | + | 0.520237i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.398568 | − | 0.690339i | 0.0148744 | − | 0.0257632i | ||||
\(719\) | −18.4389 | − | 31.9371i | −0.687654 | − | 1.19105i | −0.972595 | − | 0.232506i | \(-0.925307\pi\) |
0.284941 | − | 0.958545i | \(-0.408026\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.1254 | + | 0.587674i | 0.600542 | + | 0.0218861i | ||||
\(722\) | 31.3942 | 1.16837 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.02654 | + | 6.97418i | −0.149645 | + | 0.259193i | ||||
\(725\) | 10.2498 | − | 17.7531i | 0.380666 | − | 0.659334i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −30.4858 | −1.13065 | −0.565327 | − | 0.824867i | \(-0.691250\pi\) | ||||
−0.565327 | + | 0.824867i | \(0.691250\pi\) | |||||||
\(728\) | −6.76145 | + | 10.7840i | −0.250596 | + | 0.399683i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.7491 | − | 22.0820i | −0.471864 | − | 0.817293i | ||||
\(731\) | 4.49814 | − | 7.79101i | 0.166370 | − | 0.288161i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.07530 | − | 5.32657i | −0.113589 | − | 0.196741i | 0.803626 | − | 0.595135i | \(-0.202901\pi\) |
−0.917215 | + | 0.398393i | \(0.869568\pi\) | |||||||
\(734\) | −15.4327 | −0.569630 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.300372 | −0.0110719 | ||||||||
\(737\) | 7.98398 | + | 13.8287i | 0.294094 | + | 0.509385i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.3912 | + | 35.3186i | −0.750103 | + | 1.29922i | 0.197670 | + | 0.980269i | \(0.436663\pi\) |
−0.947772 | + | 0.318947i | \(0.896671\pi\) | |||||||
\(740\) | −0.794182 | − | 1.37556i | −0.0291947 | − | 0.0505667i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.87085 | − | 10.9585i | 0.252237 | − | 0.402301i | ||||
\(743\) | 14.5054 | 0.532152 | 0.266076 | − | 0.963952i | \(-0.414273\pi\) | ||||
0.266076 | + | 0.963952i | \(0.414273\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.13671 | + | 7.16500i | −0.151557 | + | 0.262505i | ||||
\(746\) | −5.12110 | + | 8.87000i | −0.187497 | + | 0.324754i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.57598 | −0.313569 | ||||||||
\(749\) | 8.16071 | + | 0.297408i | 0.298186 | + | 0.0108671i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.09455 | − | 3.62787i | −0.0764314 | − | 0.132383i | 0.825276 | − | 0.564729i | \(-0.191019\pi\) |
−0.901708 | + | 0.432346i | \(0.857686\pi\) | |||||||
\(752\) | 1.33310 | − | 2.30900i | 0.0486133 | − | 0.0842007i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 19.9065 | + | 34.4791i | 0.724953 | + | 1.25566i | ||||
\(755\) | 0.830556 | 0.0302270 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.38688 | 0.0867525 | 0.0433763 | − | 0.999059i | \(-0.486189\pi\) | ||||
0.0433763 | + | 0.999059i | \(0.486189\pi\) | |||||||
\(758\) | −12.5043 | − | 21.6581i | −0.454178 | − | 0.786659i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.63781 | − | 9.76497i | 0.204505 | − | 0.354213i | ||||
\(761\) | 1.81708 | + | 3.14728i | 0.0658692 | + | 0.114089i | 0.897079 | − | 0.441870i | \(-0.145685\pi\) |
−0.831210 | + | 0.555959i | \(0.812351\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.83379 | − | 5.34920i | −0.102590 | − | 0.193654i | ||||
\(764\) | 23.9629 | 0.866946 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.13348 | + | 5.42734i | −0.113217 | + | 0.196098i | ||||
\(767\) | −15.5803 | + | 26.9859i | −0.562573 | + | 0.974404i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.9344 | 1.44007 | 0.720035 | − | 0.693937i | \(-0.244126\pi\) | ||||
0.720035 | + | 0.693937i | \(0.244126\pi\) | |||||||
\(770\) | 6.67054 | + | 0.243101i | 0.240390 | + | 0.00876074i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.88255 | − | 8.45682i | −0.175727 | − | 0.304368i | ||||
\(773\) | −18.0698 | + | 31.2978i | −0.649925 | + | 1.12570i | 0.333215 | + | 0.942851i | \(0.391867\pi\) |
−0.983140 | + | 0.182853i | \(0.941467\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.35896 | − | 5.81788i | −0.120657 | − | 0.208985i | ||||
\(776\) | −1.42402 | −0.0511192 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 21.6342 | 0.775622 | ||||||||
\(779\) | −20.8578 | − | 36.1267i | −0.747308 | − | 1.29438i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.1025 | − | 17.4981i | 0.361497 | − | 0.626131i | ||||
\(782\) | −0.810892 | − | 1.40451i | −0.0289974 | − | 0.0502251i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.93199 | + | 5.79133i | −0.140428 | + | 0.206833i | ||||
\(785\) | −14.0792 | −0.502509 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 22.3189 | − | 38.6574i | 0.795582 | − | 1.37799i | −0.126888 | − | 0.991917i | \(-0.540499\pi\) |
0.922469 | − | 0.386071i | \(-0.126168\pi\) | |||||||
\(788\) | −9.12178 | + | 15.7994i | −0.324950 | + | 0.562830i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −13.3214 | −0.473955 | ||||||||
\(791\) | −27.3566 | + | 43.6319i | −0.972689 | + | 1.55137i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.7694 | − | 18.6532i | −0.382433 | − | 0.662394i | ||||
\(794\) | 2.05308 | − | 3.55605i | 0.0728612 | − | 0.126199i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.04944 | + | 15.6741i | 0.320749 | + | 0.555554i | ||||
\(797\) | 52.5672 | 1.86202 | 0.931012 | − | 0.364988i | \(-0.118927\pi\) | ||||
0.931012 | + | 0.364988i | \(0.118927\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.3955 | 0.509278 | ||||||||
\(800\) | 1.23855 | + | 2.14523i | 0.0437894 | + | 0.0758454i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.37085 | − | 14.4987i | 0.295585 | − | 0.511969i | ||||
\(803\) | 12.7491 | + | 22.0820i | 0.449905 | + | 0.779258i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.590912 | + | 1.11543i | 0.0208269 | + | 0.0393139i | ||||
\(806\) | 13.0472 | 0.459567 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.01671 | − | 10.4212i | 0.211667 | − | 0.366618i | ||||
\(809\) | −7.40290 | + | 12.8222i | −0.260272 | + | 0.450804i | −0.966314 | − | 0.257365i | \(-0.917146\pi\) |
0.706042 | + | 0.708170i | \(0.250479\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.0704 | 0.950571 | 0.475285 | − | 0.879832i | \(-0.342345\pi\) | ||||
0.475285 | + | 0.879832i | \(0.342345\pi\) | |||||||
\(812\) | 10.2498 | + | 19.3479i | 0.359696 | + | 0.678980i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.794182 | + | 1.37556i | 0.0278361 | + | 0.0482135i | ||||
\(815\) | −17.4425 | + | 30.2113i | −0.610984 | + | 1.05826i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.91411 | − | 10.2435i | −0.206908 | − | 0.358376i | ||||
\(818\) | −8.76509 | −0.306464 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.33379 | −0.325950 | ||||||||
\(821\) | 21.9091 | + | 37.9477i | 0.764632 | + | 1.32438i | 0.940441 | + | 0.339958i | \(0.110413\pi\) |
−0.175808 | + | 0.984424i | \(0.556254\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −15.6712 | + | 27.1434i | −0.546265 | + | 0.946158i | 0.452262 | + | 0.891885i | \(0.350617\pi\) |
−0.998526 | + | 0.0542727i | \(0.982716\pi\) | |||||||
\(824\) | 3.04944 | + | 5.28179i | 0.106232 | + | 0.184000i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.10322 | + | 14.5190i | −0.316741 | + | 0.505180i | ||||
\(827\) | 14.7665 | 0.513480 | 0.256740 | − | 0.966480i | \(-0.417352\pi\) | ||||
0.256740 | + | 0.966480i | \(0.417352\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0036 | + | 25.9871i | −0.521098 | + | 0.902568i | 0.478601 | + | 0.878033i | \(0.341144\pi\) |
−0.999699 | + | 0.0245357i | \(0.992189\pi\) | |||||||
\(830\) | 1.87890 | − | 3.25436i | 0.0652177 | − | 0.112960i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.81089 | −0.166788 | ||||||||
\(833\) | −37.6945 | − | 2.75113i | −1.30604 | − | 0.0953209i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.62110 | + | 4.53987i | 0.0907068 | + | 0.157109i | ||||
\(836\) | −5.63781 | + | 9.76497i | −0.194988 | + | 0.337728i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.210149 | + | 0.363988i | 0.00725946 | + | 0.0125738i | ||||
\(839\) | 36.0334 | 1.24401 | 0.622006 | − | 0.783013i | \(-0.286318\pi\) | ||||
0.622006 | + | 0.783013i | \(0.286318\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 39.4858 | 1.36158 | ||||||||
\(842\) | 3.28799 | + | 5.69497i | 0.113312 | + | 0.196262i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.166208 | − | 0.287880i | 0.00572110 | − | 0.00990923i | ||||
\(845\) | 8.05673 | + | 13.9547i | 0.277160 | + | 0.480055i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.4134 | + | 0.816833i | 0.770134 | + | 0.0280667i | ||||
\(848\) | 4.88874 | 0.167880 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −6.68725 | + | 11.5827i | −0.229371 | + | 0.397282i | ||||
\(851\) | −0.150186 | + | 0.260130i | −0.00514831 | + | 0.00891713i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.5316 | 0.839945 | 0.419972 | − | 0.907537i | \(-0.362040\pi\) | ||||
0.419972 | + | 0.907537i | \(0.362040\pi\) | |||||||
\(854\) | −5.54511 | − | 10.4672i | −0.189750 | − | 0.358181i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.54325 | + | 2.67299i | 0.0527473 | + | 0.0913610i | ||||
\(857\) | 14.5240 | − | 25.1563i | 0.496130 | − | 0.859323i | −0.503860 | − | 0.863785i | \(-0.668087\pi\) |
0.999990 | + | 0.00446273i | \(0.00142053\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.6476 | − | 21.9064i | −0.431532 | − | 0.747435i | 0.565474 | − | 0.824766i | \(-0.308693\pi\) |
−0.997005 | + | 0.0773313i | \(0.975360\pi\) | |||||||
\(860\) | −2.64654 | −0.0902464 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 22.0879 | 0.752316 | ||||||||
\(863\) | 1.34981 | + | 2.33795i | 0.0459482 | + | 0.0795846i | 0.888085 | − | 0.459680i | \(-0.152036\pi\) |
−0.842137 | + | 0.539264i | \(0.818702\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.1749 | + | 26.2836i | −0.515961 | + | 0.893671i | ||||
\(866\) | 4.71634 | + | 8.16894i | 0.160268 | + | 0.277592i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 7.17054 | + | 0.261323i | 0.243384 | + | 0.00886986i | ||||
\(869\) | 13.3214 | 0.451898 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −24.1822 | + | 41.8847i | −0.819381 | + | 1.41921i | ||||
\(872\) | 1.14400 | − | 1.98146i | 0.0387406 | − | 0.0671007i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.13231 | −0.0721263 | ||||||||
\(875\) | 16.6916 | − | 26.6219i | 0.564278 | − | 0.899985i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.54580 | + | 9.60561i | 0.187268 | + | 0.324358i | 0.944339 | − | 0.328975i | \(-0.106703\pi\) |
−0.757070 | + | 0.653334i | \(0.773370\pi\) | |||||||
\(878\) | 15.6032 | − | 27.0256i | 0.526583 | − | 0.912069i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.26145 | + | 2.18490i | 0.0425235 | + | 0.0736528i | ||||
\(881\) | 40.3942 | 1.36091 | 0.680457 | − | 0.732788i | \(-0.261781\pi\) | ||||
0.680457 | + | 0.732788i | \(0.261781\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −33.2581 | −1.11923 | −0.559613 | − | 0.828754i | \(-0.689050\pi\) | ||||
−0.559613 | + | 0.828754i | \(0.689050\pi\) | |||||||
\(884\) | −12.9876 | − | 22.4952i | −0.436821 | − | 0.756596i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.52723 | − | 11.3055i | 0.219287 | − | 0.379816i | ||||
\(887\) | 20.2836 | + | 35.1322i | 0.681056 | + | 1.17962i | 0.974659 | + | 0.223696i | \(0.0718124\pi\) |
−0.293603 | + | 0.955928i | \(0.594854\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −18.8891 | + | 30.1269i | −0.633521 | + | 1.01042i | ||||
\(890\) | −5.09888 | −0.170915 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.16621 | − | 5.48403i | 0.106012 | − | 0.183619i | ||||
\(893\) | 9.46355 | − | 16.3913i | 0.316686 | − | 0.548516i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 25.5316 | 0.853426 | ||||||||
\(896\) | −2.64400 | − | 0.0963576i | −0.0883297 | − | 0.00321908i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.95853 | − | 8.58843i | −0.165468 | − | 0.286599i | ||||
\(899\) | 11.2218 | − | 19.4367i | 0.374267 | − | 0.648249i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13.1978 | + | 22.8592i | 0.439681 | + | 0.761551i | ||||
\(902\) | 9.33379 | 0.310781 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −19.4647 | −0.647387 | ||||||||
\(905\) | 6.39561 | + | 11.0775i | 0.212597 | + | 0.368230i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.0567 | + | 26.0790i | −0.499950 | + | 0.865939i | −1.00000 | 5.72941e-5i | \(-0.999982\pi\) | |
0.500050 | + | 0.865997i | \(0.333315\pi\) | |||||||
\(908\) | −11.6545 | − | 20.1862i | −0.386769 | − | 0.669903i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.46431 | + | 17.8653i | 0.313739 | + | 0.592229i | ||||
\(911\) | 29.2225 | 0.968186 | 0.484093 | − | 0.875017i | \(-0.339150\pi\) | ||||
0.484093 | + | 0.875017i | \(0.339150\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.87890 | + | 3.25436i | −0.0621826 | + | 0.107704i | ||||
\(914\) | 12.2615 | − | 21.2375i | 0.405573 | − | 0.702473i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.95420 | −0.163691 | ||||||||
\(917\) | −8.39926 | − | 0.306102i | −0.277368 | − | 0.0101084i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.52359 | − | 9.56714i | −0.182206 | − | 0.315591i | 0.760425 | − | 0.649426i | \(-0.224991\pi\) |
−0.942632 | + | 0.333835i | \(0.891657\pi\) | |||||||
\(920\) | −0.238550 | + | 0.413181i | −0.00786476 | + | 0.0136222i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.75526 | − | 3.04020i | −0.0578064 | − | 0.100124i | ||||
\(923\) | 61.1978 | 2.01435 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.47710 | 0.0814465 | ||||||||
\(926\) | 8.69413 | + | 15.0587i | 0.285707 | + | 0.494859i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.13781 | + | 7.16689i | −0.135830 | + | 0.235265i | ||||
\(929\) | −21.1669 | − | 36.6621i | −0.694463 | − | 1.20285i | −0.970361 | − | 0.241659i | \(-0.922309\pi\) |
0.275898 | − | 0.961187i | \(-0.411025\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.9127 | + | 41.1120i | −0.914803 | + | 1.34739i | ||||
\(932\) | −14.2756 | −0.467613 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.69894 | + | 11.6029i | −0.219196 | + | 0.379659i | ||||
\(935\) | −6.81089 | + | 11.7968i | −0.222740 | + | 0.385797i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.7651 | −0.384349 | −0.192174 | − | 0.981361i | \(-0.561554\pi\) | ||||
−0.192174 | + | 0.981361i | \(0.561554\pi\) | |||||||
\(938\) | −14.1291 | + | 22.5349i | −0.461330 | + | 0.735790i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.11745 | − | 3.66754i | −0.0690637 | − | 0.119622i | ||||
\(941\) | 7.28799 | − | 12.6232i | 0.237582 | − | 0.411504i | −0.722438 | − | 0.691436i | \(-0.756979\pi\) |
0.960020 | + | 0.279932i | \(0.0903119\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.882546 | + | 1.52861i | 0.0287397 | + | 0.0497785i | ||||
\(944\) | −6.47710 | −0.210812 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.64654 | 0.0860466 | ||||||||
\(947\) | 3.12178 | + | 5.40709i | 0.101444 | + | 0.175707i | 0.912280 | − | 0.409567i | \(-0.134320\pi\) |
−0.810836 | + | 0.585274i | \(0.800987\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −38.6148 | + | 66.8828i | −1.25349 | + | 2.17111i | ||||
\(950\) | 8.79232 | + | 15.2287i | 0.285261 | + | 0.494086i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.68725 | − | 12.6232i | −0.216735 | − | 0.409119i | ||||
\(953\) | −28.0173 | −0.907570 | −0.453785 | − | 0.891111i | \(-0.649927\pi\) | ||||
−0.453785 | + | 0.891111i | \(0.649927\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.0309 | − | 32.9624i | 0.615825 | − | 1.06664i | ||||
\(956\) | −2.48762 | + | 4.30868i | −0.0804554 | + | 0.139353i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −20.8058 | −0.672205 | ||||||||
\(959\) | 26.3356 | + | 49.7123i | 0.850420 | + | 1.60529i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.8225 | + | 20.4772i | 0.381371 | + | 0.660554i | ||||
\(962\) | −2.40545 | + | 4.16635i | −0.0775547 | + | 0.134329i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.50000 | + | 11.2583i | 0.209351 | + | 0.362606i | ||||
\(965\) | −15.5105 | −0.499301 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −31.5673 | −1.01514 | −0.507568 | − | 0.861612i | \(-0.669456\pi\) | ||||
−0.507568 | + | 0.861612i | \(0.669456\pi\) | |||||||
\(968\) | 4.23855 | + | 7.34138i | 0.136232 | + | 0.235961i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.13093 | + | 1.95882i | −0.0363119 | + | 0.0628941i | ||||
\(971\) | −2.82141 | − | 4.88683i | −0.0905434 | − | 0.156826i | 0.817196 | − | 0.576359i | \(-0.195527\pi\) |
−0.907740 | + | 0.419533i | \(0.862194\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3454 | + | 29.2596i | −0.588127 | + | 0.938021i | ||||
\(974\) | −32.4944 | −1.04119 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.23855 | − | 3.87728i | 0.0716542 | − | 0.124109i | ||||
\(977\) | 3.24652 | − | 5.62314i | 0.103865 | − | 0.179900i | −0.809409 | − | 0.587246i | \(-0.800212\pi\) |
0.913274 | + | 0.407346i | \(0.133546\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.09888 | 0.162961 | ||||||||
\(980\) | 4.84362 | + | 10.0081i | 0.154724 | + | 0.319696i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.66071 | + | 16.7328i | 0.308286 | + | 0.533966i | ||||
\(983\) | −15.1531 | + | 26.2460i | −0.483310 | + | 0.837118i | −0.999816 | − | 0.0191658i | \(-0.993899\pi\) |
0.516506 | + | 0.856283i | \(0.327232\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.4887 | + | 25.0952i | 0.461649 | + | 0.799599i | ||||
\(986\) | −44.6822 | −1.42297 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −34.1520 | −1.08652 | ||||||||
\(989\) | 0.250241 | + | 0.433430i | 0.00795720 | + | 0.0137823i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.1669 | − | 19.3416i | 0.354728 | − | 0.614407i | −0.632343 | − | 0.774688i | \(-0.717907\pi\) |
0.987071 | + | 0.160281i | \(0.0512401\pi\) | |||||||
\(992\) | 1.35600 | + | 2.34867i | 0.0430532 | + | 0.0745703i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 33.6334 | + | 1.22573i | 1.06679 | + | 0.0388779i | ||||
\(995\) | 28.7476 | 0.911361 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.38255 | − | 7.59079i | 0.138797 | − | 0.240403i | −0.788245 | − | 0.615362i | \(-0.789010\pi\) |
0.927041 | + | 0.374959i | \(0.122343\pi\) | |||||||
\(998\) | 5.57530 | − | 9.65670i | 0.176483 | − | 0.305677i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))