Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 119.5 | ||
Character | \(\chi\) | \(=\) | 300.119 |
Dual form | 300.2.r.a.179.5 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38359 | + | 0.292690i | −0.978349 | + | 0.206963i | ||||
\(3\) | 1.32930 | + | 1.11038i | 0.767475 | + | 0.641079i | ||||
\(4\) | 1.82867 | − | 0.809927i | 0.914333 | − | 0.404964i | ||||
\(5\) | 1.53346 | + | 1.62742i | 0.685783 | + | 0.727806i | ||||
\(6\) | −2.16422 | − | 1.14724i | −0.883537 | − | 0.468361i | ||||
\(7\) | −2.22039 | −0.839229 | −0.419614 | − | 0.907702i | \(-0.637835\pi\) | ||||
−0.419614 | + | 0.907702i | \(0.637835\pi\) | |||||||
\(8\) | −2.29307 | + | 1.65584i | −0.810724 | + | 0.585429i | ||||
\(9\) | 0.534103 | + | 2.95207i | 0.178034 | + | 0.984024i | ||||
\(10\) | −2.59801 | − | 1.80287i | −0.821564 | − | 0.570116i | ||||
\(11\) | 0.989133 | + | 3.04424i | 0.298235 | + | 0.917872i | 0.982116 | + | 0.188279i | \(0.0602908\pi\) |
−0.683881 | + | 0.729594i | \(0.739709\pi\) | |||||||
\(12\) | 3.33018 | + | 0.953877i | 0.961341 | + | 0.275361i | ||||
\(13\) | 2.10285 | + | 0.683258i | 0.583226 | + | 0.189502i | 0.585745 | − | 0.810495i | \(-0.300802\pi\) |
−0.00251920 | + | 0.999997i | \(0.500802\pi\) | |||||||
\(14\) | 3.07212 | − | 0.649885i | 0.821058 | − | 0.173689i | ||||
\(15\) | 0.231371 | + | 3.86607i | 0.0597398 | + | 0.998214i | ||||
\(16\) | 2.68804 | − | 2.96217i | 0.672009 | − | 0.740543i | ||||
\(17\) | −6.14912 | − | 4.46760i | −1.49138 | − | 1.08355i | −0.973661 | − | 0.228002i | \(-0.926781\pi\) |
−0.517720 | − | 0.855550i | \(-0.673219\pi\) | |||||||
\(18\) | −1.60302 | − | 3.92814i | −0.377836 | − | 0.925872i | ||||
\(19\) | 1.90735 | − | 2.62524i | 0.437576 | − | 0.602272i | −0.532095 | − | 0.846684i | \(-0.678595\pi\) |
0.969671 | + | 0.244413i | \(0.0785952\pi\) | |||||||
\(20\) | 4.12228 | + | 1.73402i | 0.921769 | + | 0.387739i | ||||
\(21\) | −2.95158 | − | 2.46548i | −0.644087 | − | 0.538012i | ||||
\(22\) | −2.25958 | − | 3.92248i | −0.481743 | − | 0.836276i | ||||
\(23\) | 0.789888 | − | 0.256650i | 0.164703 | − | 0.0535153i | −0.225505 | − | 0.974242i | \(-0.572403\pi\) |
0.390208 | + | 0.920727i | \(0.372403\pi\) | |||||||
\(24\) | −4.88681 | − | 0.345069i | −0.997516 | − | 0.0704369i | ||||
\(25\) | −0.297014 | + | 4.99117i | −0.0594028 | + | 0.998234i | ||||
\(26\) | −3.10948 | − | 0.329869i | −0.609818 | − | 0.0646926i | ||||
\(27\) | −2.56794 | + | 4.51726i | −0.494201 | + | 0.869348i | ||||
\(28\) | −4.06035 | + | 1.79835i | −0.767334 | + | 0.339857i | ||||
\(29\) | 5.45935 | + | 7.51416i | 1.01378 | + | 1.39534i | 0.916476 | + | 0.400089i | \(0.131021\pi\) |
0.0973003 | + | 0.995255i | \(0.468979\pi\) | |||||||
\(30\) | −1.45168 | − | 5.28135i | −0.265040 | − | 0.964238i | ||||
\(31\) | 2.79198 | − | 3.84283i | 0.501455 | − | 0.690193i | −0.480995 | − | 0.876724i | \(-0.659724\pi\) |
0.982449 | + | 0.186531i | \(0.0597243\pi\) | |||||||
\(32\) | −2.85215 | + | 4.88520i | −0.504194 | + | 0.863590i | ||||
\(33\) | −2.06541 | + | 5.14504i | −0.359541 | + | 0.895636i | ||||
\(34\) | 9.81551 | + | 4.38156i | 1.68335 | + | 0.751431i | ||||
\(35\) | −3.40487 | − | 3.61352i | −0.575529 | − | 0.610796i | ||||
\(36\) | 3.36766 | + | 4.96577i | 0.561277 | + | 0.827628i | ||||
\(37\) | 6.83181 | + | 2.21979i | 1.12314 | + | 0.364931i | 0.810966 | − | 0.585093i | \(-0.198942\pi\) |
0.312176 | + | 0.950024i | \(0.398942\pi\) | |||||||
\(38\) | −1.87062 | + | 4.19053i | −0.303454 | + | 0.679794i | ||||
\(39\) | 2.03665 | + | 3.24323i | 0.326126 | + | 0.519332i | ||||
\(40\) | −6.21109 | − | 1.19264i | −0.982059 | − | 0.188573i | ||||
\(41\) | −6.82637 | − | 2.21802i | −1.06610 | − | 0.346397i | −0.277133 | − | 0.960832i | \(-0.589384\pi\) |
−0.788968 | + | 0.614435i | \(0.789384\pi\) | |||||||
\(42\) | 4.80540 | + | 2.54733i | 0.741490 | + | 0.393062i | ||||
\(43\) | −2.43300 | −0.371029 | −0.185514 | − | 0.982642i | \(-0.559395\pi\) | ||||
−0.185514 | + | 0.982642i | \(0.559395\pi\) | |||||||
\(44\) | 4.27440 | + | 4.76577i | 0.644391 | + | 0.718466i | ||||
\(45\) | −3.98525 | + | 5.39609i | −0.594086 | + | 0.804402i | ||||
\(46\) | −1.01777 | + | 0.586292i | −0.150061 | + | 0.0864440i | ||||
\(47\) | −2.58503 | − | 3.55799i | −0.377066 | − | 0.518987i | 0.577738 | − | 0.816222i | \(-0.303935\pi\) |
−0.954804 | + | 0.297235i | \(0.903935\pi\) | |||||||
\(48\) | 6.86236 | − | 0.952884i | 0.990497 | − | 0.137537i | ||||
\(49\) | −2.06987 | −0.295695 | ||||||||
\(50\) | −1.04992 | − | 6.99269i | −0.148481 | − | 0.988915i | ||||
\(51\) | −3.21332 | − | 12.7667i | −0.449954 | − | 1.78769i | ||||
\(52\) | 4.39880 | − | 0.453707i | 0.610004 | − | 0.0629178i | ||||
\(53\) | 3.58063 | − | 2.60148i | 0.491838 | − | 0.357341i | −0.314053 | − | 0.949406i | \(-0.601687\pi\) |
0.805891 | + | 0.592064i | \(0.201687\pi\) | |||||||
\(54\) | 2.23084 | − | 7.00167i | 0.303578 | − | 0.952807i | ||||
\(55\) | −3.43747 | + | 6.27795i | −0.463508 | + | 0.846518i | ||||
\(56\) | 5.09152 | − | 3.67662i | 0.680383 | − | 0.491308i | ||||
\(57\) | 5.45047 | − | 1.37186i | 0.721932 | − | 0.181707i | ||||
\(58\) | −9.75285 | − | 8.79865i | −1.28061 | − | 1.15532i | ||||
\(59\) | 3.60315 | − | 11.0894i | 0.469090 | − | 1.44371i | −0.384674 | − | 0.923052i | \(-0.625686\pi\) |
0.853765 | − | 0.520659i | \(-0.174314\pi\) | |||||||
\(60\) | 3.55433 | + | 6.88235i | 0.458862 | + | 0.888507i | ||||
\(61\) | −0.275427 | − | 0.847677i | −0.0352648 | − | 0.108534i | 0.931875 | − | 0.362781i | \(-0.118173\pi\) |
−0.967139 | + | 0.254247i | \(0.918173\pi\) | |||||||
\(62\) | −2.73821 | + | 6.13410i | −0.347753 | + | 0.779032i | ||||
\(63\) | −1.18592 | − | 6.55475i | −0.149412 | − | 0.825821i | ||||
\(64\) | 2.51637 | − | 7.59394i | 0.314547 | − | 0.949242i | ||||
\(65\) | 2.11268 | + | 4.46998i | 0.262046 | + | 0.554432i | ||||
\(66\) | 1.35179 | − | 7.72317i | 0.166394 | − | 0.950656i | ||||
\(67\) | 8.14207 | + | 5.91556i | 0.994713 | + | 0.722701i | 0.960948 | − | 0.276729i | \(-0.0892503\pi\) |
0.0337647 | + | 0.999430i | \(0.489250\pi\) | |||||||
\(68\) | −14.8631 | − | 3.18940i | −1.80242 | − | 0.386772i | ||||
\(69\) | 1.33498 | + | 0.535911i | 0.160713 | + | 0.0645162i | ||||
\(70\) | 5.76860 | + | 4.00307i | 0.689480 | + | 0.478458i | ||||
\(71\) | 10.5298 | − | 7.65032i | 1.24965 | − | 0.907926i | 0.251451 | − | 0.967870i | \(-0.419092\pi\) |
0.998202 | + | 0.0599440i | \(0.0190922\pi\) | |||||||
\(72\) | −6.11290 | − | 5.88493i | −0.720413 | − | 0.693546i | ||||
\(73\) | 2.71078 | − | 0.880786i | 0.317273 | − | 0.103088i | −0.146051 | − | 0.989277i | \(-0.546656\pi\) |
0.463324 | + | 0.886189i | \(0.346656\pi\) | |||||||
\(74\) | −10.1022 | − | 1.07169i | −1.17435 | − | 0.124581i | ||||
\(75\) | −5.93693 | + | 6.30499i | −0.685537 | + | 0.728037i | ||||
\(76\) | 1.36165 | − | 6.34550i | 0.156192 | − | 0.727879i | ||||
\(77\) | −2.19626 | − | 6.75940i | −0.250287 | − | 0.770305i | ||||
\(78\) | −3.76716 | − | 3.89120i | −0.426547 | − | 0.440592i | ||||
\(79\) | −0.510481 | − | 0.702616i | −0.0574335 | − | 0.0790505i | 0.779334 | − | 0.626609i | \(-0.215558\pi\) |
−0.836768 | + | 0.547558i | \(0.815558\pi\) | |||||||
\(80\) | 8.94270 | − | 0.167795i | 0.999824 | − | 0.0187601i | ||||
\(81\) | −8.42947 | + | 3.15342i | −0.936608 | + | 0.350380i | ||||
\(82\) | 10.0941 | + | 1.07084i | 1.11471 | + | 0.118254i | ||||
\(83\) | 3.39942 | − | 4.67890i | 0.373135 | − | 0.513576i | −0.580615 | − | 0.814178i | \(-0.697188\pi\) |
0.953750 | + | 0.300602i | \(0.0971877\pi\) | |||||||
\(84\) | −7.39431 | − | 2.11798i | −0.806785 | − | 0.231091i | ||||
\(85\) | −2.15874 | − | 16.8581i | −0.234149 | − | 1.82852i | ||||
\(86\) | 3.36628 | − | 0.712113i | 0.362995 | − | 0.0767891i | ||||
\(87\) | −1.08644 | + | 16.0506i | −0.116478 | + | 1.72080i | ||||
\(88\) | −7.30893 | − | 5.34281i | −0.779135 | − | 0.569546i | ||||
\(89\) | 2.71552 | − | 0.882325i | 0.287844 | − | 0.0935262i | −0.161536 | − | 0.986867i | \(-0.551645\pi\) |
0.449380 | + | 0.893341i | \(0.351645\pi\) | |||||||
\(90\) | 3.93459 | − | 8.63244i | 0.414742 | − | 0.909939i | ||||
\(91\) | −4.66915 | − | 1.51710i | −0.489460 | − | 0.159035i | ||||
\(92\) | 1.23657 | − | 1.10908i | 0.128922 | − | 0.115630i | ||||
\(93\) | 7.97841 | − | 2.00813i | 0.827322 | − | 0.208233i | ||||
\(94\) | 4.61803 | + | 4.16621i | 0.476313 | + | 0.429711i | ||||
\(95\) | 7.19722 | − | 0.921632i | 0.738419 | − | 0.0945574i | ||||
\(96\) | −9.21582 | + | 3.32695i | −0.940586 | + | 0.339555i | ||||
\(97\) | −4.87651 | − | 6.71194i | −0.495134 | − | 0.681494i | 0.486190 | − | 0.873853i | \(-0.338386\pi\) |
−0.981325 | + | 0.192359i | \(0.938386\pi\) | |||||||
\(98\) | 2.86386 | − | 0.605829i | 0.289293 | − | 0.0611979i | ||||
\(99\) | −8.45851 | + | 4.54593i | −0.850113 | + | 0.456883i | ||||
\(100\) | 3.49935 | + | 9.36774i | 0.349935 | + | 0.936774i | ||||
\(101\) | − | 6.67602i | − | 0.664289i | −0.943229 | − | 0.332144i | \(-0.892228\pi\) | ||
0.943229 | − | 0.332144i | \(-0.107772\pi\) | |||||||
\(102\) | 8.18260 | + | 16.7234i | 0.810198 | + | 1.65586i | ||||
\(103\) | −2.29801 | + | 1.66960i | −0.226429 | + | 0.164511i | −0.695216 | − | 0.718801i | \(-0.744691\pi\) |
0.468787 | + | 0.883311i | \(0.344691\pi\) | |||||||
\(104\) | −5.95336 | + | 1.91523i | −0.583775 | + | 0.187804i | ||||
\(105\) | −0.513734 | − | 8.58418i | −0.0501353 | − | 0.837730i | ||||
\(106\) | −4.19272 | + | 4.64741i | −0.407233 | + | 0.451396i | ||||
\(107\) | 6.85616i | 0.662810i | 0.943489 | + | 0.331405i | \(0.107523\pi\) | ||||
−0.943489 | + | 0.331405i | \(0.892477\pi\) | |||||||
\(108\) | −1.03725 | + | 10.3404i | −0.0998098 | + | 0.995007i | ||||
\(109\) | 2.01162 | − | 6.19112i | 0.192678 | − | 0.593002i | −0.807318 | − | 0.590117i | \(-0.799082\pi\) |
0.999996 | − | 0.00288497i | \(-0.000918315\pi\) | |||||||
\(110\) | 2.91857 | − | 9.69225i | 0.278275 | − | 0.924119i | ||||
\(111\) | 6.61674 | + | 10.5367i | 0.628033 | + | 1.00010i | ||||
\(112\) | −5.96849 | + | 6.57718i | −0.563969 | + | 0.621485i | ||||
\(113\) | 1.13448 | − | 3.49157i | 0.106723 | − | 0.328460i | −0.883408 | − | 0.468605i | \(-0.844757\pi\) |
0.990131 | + | 0.140145i | \(0.0447569\pi\) | |||||||
\(114\) | −7.13971 | + | 3.49339i | −0.668695 | + | 0.327186i | ||||
\(115\) | 1.62894 | + | 0.891920i | 0.151899 | + | 0.0831720i | ||||
\(116\) | 16.0693 | + | 9.31920i | 1.49199 | + | 0.865266i | ||||
\(117\) | −0.893888 | + | 6.57270i | −0.0826400 | + | 0.607646i | ||||
\(118\) | −1.73956 | + | 16.3978i | −0.160139 | + | 1.50954i | ||||
\(119\) | 13.6535 | + | 9.91981i | 1.25161 | + | 0.909348i | ||||
\(120\) | −6.93215 | − | 8.48206i | −0.632816 | − | 0.774303i | ||||
\(121\) | 0.610186 | − | 0.443326i | 0.0554715 | − | 0.0403024i | ||||
\(122\) | 0.629186 | + | 1.09223i | 0.0569638 | + | 0.0988856i | ||||
\(123\) | −6.61148 | − | 10.5283i | −0.596137 | − | 0.949306i | ||||
\(124\) | 1.99318 | − | 9.28856i | 0.178993 | − | 0.834137i | ||||
\(125\) | −8.57821 | + | 7.17038i | −0.767258 | + | 0.641338i | ||||
\(126\) | 3.55934 | + | 8.72201i | 0.317091 | + | 0.777019i | ||||
\(127\) | −4.32343 | − | 13.3062i | −0.383643 | − | 1.18073i | −0.937460 | − | 0.348093i | \(-0.886829\pi\) |
0.553818 | − | 0.832638i | \(-0.313171\pi\) | |||||||
\(128\) | −1.25897 | + | 11.2434i | −0.111278 | + | 0.993789i | ||||
\(129\) | −3.23419 | − | 2.70156i | −0.284755 | − | 0.237859i | ||||
\(130\) | −4.23141 | − | 5.56627i | −0.371120 | − | 0.488194i | ||||
\(131\) | −13.7099 | − | 9.96081i | −1.19784 | − | 0.870280i | −0.203768 | − | 0.979019i | \(-0.565319\pi\) |
−0.994070 | + | 0.108739i | \(0.965319\pi\) | |||||||
\(132\) | 0.390165 | + | 11.0814i | 0.0339595 | + | 0.964510i | ||||
\(133\) | −4.23506 | + | 5.82906i | −0.367226 | + | 0.505444i | ||||
\(134\) | −12.9968 | − | 5.80164i | −1.12275 | − | 0.501185i | ||||
\(135\) | −11.2893 | + | 2.74790i | −0.971631 | + | 0.236502i | ||||
\(136\) | 21.4980 | + | 0.0625561i | 1.84344 | + | 0.00536414i | ||||
\(137\) | 3.22700 | − | 9.93170i | 0.275702 | − | 0.848522i | −0.713331 | − | 0.700827i | \(-0.752815\pi\) |
0.989033 | − | 0.147695i | \(-0.0471855\pi\) | |||||||
\(138\) | −2.00393 | − | 0.350748i | −0.170586 | − | 0.0298577i | ||||
\(139\) | 5.77680 | − | 1.87699i | 0.489981 | − | 0.159205i | −0.0535976 | − | 0.998563i | \(-0.517069\pi\) |
0.543579 | + | 0.839358i | \(0.317069\pi\) | |||||||
\(140\) | −9.15306 | − | 3.85021i | −0.773575 | − | 0.325402i | ||||
\(141\) | 0.514435 | − | 7.60003i | 0.0433232 | − | 0.640038i | ||||
\(142\) | −12.3297 | + | 13.6669i | −1.03469 | + | 1.14690i | ||||
\(143\) | 7.07741i | 0.591843i | ||||||||
\(144\) | 10.1802 | + | 6.35317i | 0.848353 | + | 0.529431i | ||||
\(145\) | −3.85702 | + | 20.4073i | −0.320308 | + | 1.69474i | ||||
\(146\) | −3.49282 | + | 2.01207i | −0.289068 | + | 0.166520i | ||||
\(147\) | −2.75148 | − | 2.29834i | −0.226939 | − | 0.189564i | ||||
\(148\) | 14.2910 | − | 1.47402i | 1.17471 | − | 0.121163i | ||||
\(149\) | 16.5387i | 1.35490i | 0.735569 | + | 0.677450i | \(0.236915\pi\) | ||||
−0.735569 | + | 0.677450i | \(0.763085\pi\) | |||||||
\(150\) | 6.36890 | − | 10.4612i | 0.520018 | − | 0.854155i | ||||
\(151\) | 17.2944i | 1.40740i | 0.710497 | + | 0.703700i | \(0.248470\pi\) | ||||
−0.710497 | + | 0.703700i | \(0.751530\pi\) | |||||||
\(152\) | −0.0267070 | + | 9.17814i | −0.00216623 | + | 0.744446i | ||||
\(153\) | 9.90441 | − | 20.5388i | 0.800724 | − | 1.66046i | ||||
\(154\) | 5.01714 | + | 8.70944i | 0.404293 | + | 0.701827i | ||||
\(155\) | 10.5353 | − | 1.34909i | 0.846216 | − | 0.108361i | ||||
\(156\) | 6.35114 | + | 4.28124i | 0.508498 | + | 0.342773i | ||||
\(157\) | − | 2.20994i | − | 0.176373i | −0.996104 | − | 0.0881864i | \(-0.971893\pi\) | ||
0.996104 | − | 0.0881864i | \(-0.0281071\pi\) | |||||||
\(158\) | 0.911946 | + | 0.822723i | 0.0725506 | + | 0.0654523i | ||||
\(159\) | 7.64839 | + | 0.517708i | 0.606557 | + | 0.0410569i | ||||
\(160\) | −12.3240 | + | 2.84960i | −0.974294 | + | 0.225280i | ||||
\(161\) | −1.75386 | + | 0.569864i | −0.138224 | + | 0.0449116i | ||||
\(162\) | 10.7400 | − | 6.83027i | 0.843813 | − | 0.536637i | ||||
\(163\) | −4.38456 | + | 13.4943i | −0.343425 | + | 1.05695i | 0.618997 | + | 0.785394i | \(0.287539\pi\) |
−0.962422 | + | 0.271560i | \(0.912461\pi\) | |||||||
\(164\) | −14.2796 | + | 1.47284i | −1.11505 | + | 0.115010i | ||||
\(165\) | −11.5404 | + | 4.52840i | −0.898416 | + | 0.352536i | ||||
\(166\) | −3.33395 | + | 7.46867i | −0.258765 | + | 0.579682i | ||||
\(167\) | 5.17083 | − | 7.11704i | 0.400131 | − | 0.550733i | −0.560646 | − | 0.828056i | \(-0.689447\pi\) |
0.960777 | + | 0.277323i | \(0.0894471\pi\) | |||||||
\(168\) | 10.8506 | + | 0.766187i | 0.837144 | + | 0.0591126i | ||||
\(169\) | −6.56208 | − | 4.76763i | −0.504775 | − | 0.366741i | ||||
\(170\) | 7.92102 | + | 22.6929i | 0.607514 | + | 1.74047i | ||||
\(171\) | 8.76863 | + | 4.22849i | 0.670554 | + | 0.323360i | ||||
\(172\) | −4.44914 | + | 1.97055i | −0.339244 | + | 0.150253i | ||||
\(173\) | 1.42043 | + | 4.37163i | 0.107993 | + | 0.332369i | 0.990421 | − | 0.138079i | \(-0.0440926\pi\) |
−0.882428 | + | 0.470447i | \(0.844093\pi\) | |||||||
\(174\) | −3.19465 | − | 22.5255i | −0.242186 | − | 1.70765i | ||||
\(175\) | 0.659487 | − | 11.0823i | 0.0498525 | − | 0.837747i | ||||
\(176\) | 11.6764 | + | 5.25304i | 0.880140 | + | 0.395963i | ||||
\(177\) | 17.1031 | − | 10.7403i | 1.28555 | − | 0.807288i | ||||
\(178\) | −3.49893 | + | 2.01558i | −0.262256 | + | 0.151074i | ||||
\(179\) | −18.5517 | + | 13.4786i | −1.38662 | + | 1.00744i | −0.390396 | + | 0.920647i | \(0.627662\pi\) |
−0.996226 | + | 0.0867932i | \(0.972338\pi\) | |||||||
\(180\) | −2.91724 | + | 13.0954i | −0.217439 | + | 0.976074i | ||||
\(181\) | −3.35957 | − | 2.44087i | −0.249715 | − | 0.181429i | 0.455885 | − | 0.890038i | \(-0.349323\pi\) |
−0.705601 | + | 0.708610i | \(0.749323\pi\) | |||||||
\(182\) | 6.90425 | + | 0.732437i | 0.511777 | + | 0.0542919i | ||||
\(183\) | 0.575119 | − | 1.43265i | 0.0425140 | − | 0.105905i | ||||
\(184\) | −1.38630 | + | 1.89645i | −0.102199 | + | 0.139808i | ||||
\(185\) | 6.86375 | + | 14.5222i | 0.504633 | + | 1.06769i | ||||
\(186\) | −10.4511 | + | 5.11363i | −0.766313 | + | 0.374950i | ||||
\(187\) | 7.51813 | − | 23.1384i | 0.549780 | − | 1.69205i | ||||
\(188\) | −7.60888 | − | 4.41269i | −0.554935 | − | 0.321829i | ||||
\(189\) | 5.70184 | − | 10.0301i | 0.414748 | − | 0.729582i | ||||
\(190\) | −9.68828 | + | 3.38172i | −0.702862 | + | 0.245335i | ||||
\(191\) | −6.31719 | + | 19.4423i | −0.457095 | + | 1.40680i | 0.411562 | + | 0.911382i | \(0.364983\pi\) |
−0.868657 | + | 0.495413i | \(0.835017\pi\) | |||||||
\(192\) | 11.7772 | − | 7.30052i | 0.849946 | − | 0.526870i | ||||
\(193\) | − | 1.63745i | − | 0.117866i | −0.998262 | − | 0.0589331i | \(-0.981230\pi\) | ||
0.998262 | − | 0.0589331i | \(-0.0187699\pi\) | |||||||
\(194\) | 8.71162 | + | 7.85929i | 0.625458 | + | 0.564264i | ||||
\(195\) | −2.15498 | + | 8.28785i | −0.154321 | + | 0.593505i | ||||
\(196\) | −3.78509 | + | 1.67644i | −0.270364 | + | 0.119746i | ||||
\(197\) | 14.8196 | − | 10.7671i | 1.05585 | − | 0.767123i | 0.0825379 | − | 0.996588i | \(-0.473697\pi\) |
0.973317 | + | 0.229464i | \(0.0736975\pi\) | |||||||
\(198\) | 10.3726 | − | 8.76544i | 0.737149 | − | 0.622933i | ||||
\(199\) | − | 2.93464i | − | 0.208031i | −0.994576 | − | 0.104016i | \(-0.966831\pi\) | ||
0.994576 | − | 0.104016i | \(-0.0331692\pi\) | |||||||
\(200\) | −7.58352 | − | 11.9369i | −0.536236 | − | 0.844068i | ||||
\(201\) | 4.25476 | + | 16.9044i | 0.300108 | + | 1.19234i | ||||
\(202\) | 1.95400 | + | 9.23690i | 0.137483 | + | 0.649906i | ||||
\(203\) | −12.1219 | − | 16.6844i | −0.850790 | − | 1.17101i | ||||
\(204\) | −16.2162 | − | 20.7434i | −1.13536 | − | 1.45233i | ||||
\(205\) | −6.85829 | − | 14.5106i | −0.479004 | − | 1.01347i | ||||
\(206\) | 2.69083 | − | 2.98265i | 0.187479 | − | 0.207811i | ||||
\(207\) | 1.17953 | + | 2.19473i | 0.0819831 | + | 0.152544i | ||||
\(208\) | 7.67647 | − | 4.39239i | 0.532267 | − | 0.304557i | ||||
\(209\) | 9.87848 | + | 3.20971i | 0.683309 | + | 0.222021i | ||||
\(210\) | 3.22330 | + | 11.7267i | 0.222429 | + | 0.809216i | ||||
\(211\) | −16.7041 | + | 5.42749i | −1.14996 | + | 0.373644i | −0.821127 | − | 0.570745i | \(-0.806654\pi\) |
−0.328830 | + | 0.944389i | \(0.606654\pi\) | |||||||
\(212\) | 4.44077 | − | 7.65729i | 0.304993 | − | 0.525905i | ||||
\(213\) | 22.4920 | + | 1.52245i | 1.54113 | + | 0.104317i | ||||
\(214\) | −2.00673 | − | 9.48614i | −0.137177 | − | 0.648459i | ||||
\(215\) | −3.73090 | − | 3.95952i | −0.254445 | − | 0.270037i | ||||
\(216\) | −1.59139 | − | 14.6105i | −0.108281 | − | 0.994120i | ||||
\(217\) | −6.19929 | + | 8.53259i | −0.420835 | + | 0.579230i | ||||
\(218\) | −0.971185 | + | 9.15478i | −0.0657769 | + | 0.620040i | ||||
\(219\) | 4.58146 | + | 1.83917i | 0.309587 | + | 0.124280i | ||||
\(220\) | −1.20130 | + | 14.2644i | −0.0809917 | + | 0.961704i | ||||
\(221\) | −9.87817 | − | 13.5961i | −0.664478 | − | 0.914575i | ||||
\(222\) | −12.2389 | − | 12.6419i | −0.821419 | − | 0.848466i | ||||
\(223\) | 3.19090 | + | 9.82058i | 0.213678 | + | 0.657635i | 0.999245 | + | 0.0388572i | \(0.0123718\pi\) |
−0.785566 | + | 0.618778i | \(0.787628\pi\) | |||||||
\(224\) | 6.33289 | − | 10.8471i | 0.423134 | − | 0.724750i | ||||
\(225\) | −14.8929 | + | 1.78899i | −0.992862 | + | 0.119266i | ||||
\(226\) | −0.547714 | + | 5.16297i | −0.0364334 | + | 0.343436i | ||||
\(227\) | −11.5150 | + | 3.74144i | −0.764276 | + | 0.248328i | −0.665113 | − | 0.746743i | \(-0.731617\pi\) |
−0.0991631 | + | 0.995071i | \(0.531617\pi\) | |||||||
\(228\) | 8.85598 | − | 6.92316i | 0.586502 | − | 0.458497i | ||||
\(229\) | −12.8174 | + | 9.31240i | −0.846999 | + | 0.615381i | −0.924317 | − | 0.381626i | \(-0.875364\pi\) |
0.0773182 | + | 0.997006i | \(0.475364\pi\) | |||||||
\(230\) | −2.51485 | − | 0.757282i | −0.165824 | − | 0.0499337i | ||||
\(231\) | 4.58601 | − | 11.4240i | 0.301737 | − | 0.751643i | ||||
\(232\) | −24.9610 | − | 8.19068i | −1.63877 | − | 0.537745i | ||||
\(233\) | −6.92750 | − | 5.03312i | −0.453836 | − | 0.329731i | 0.337273 | − | 0.941407i | \(-0.390496\pi\) |
−0.791108 | + | 0.611676i | \(0.790496\pi\) | |||||||
\(234\) | −0.686984 | − | 9.35558i | −0.0449095 | − | 0.611594i | ||||
\(235\) | 1.82632 | − | 9.66298i | 0.119136 | − | 0.630343i | ||||
\(236\) | −2.39262 | − | 23.1970i | −0.155746 | − | 1.51000i | ||||
\(237\) | 0.101588 | − | 1.50082i | 0.00659886 | − | 0.0974887i | ||||
\(238\) | −21.7943 | − | 9.72877i | −1.41271 | − | 0.630623i | ||||
\(239\) | −5.13357 | − | 15.7995i | −0.332063 | − | 1.02199i | −0.968151 | − | 0.250368i | \(-0.919448\pi\) |
0.636088 | − | 0.771617i | \(-0.280552\pi\) | |||||||
\(240\) | 12.0739 | + | 9.70676i | 0.779366 | + | 0.626569i | ||||
\(241\) | 1.84816 | − | 5.68806i | 0.119051 | − | 0.366400i | −0.873720 | − | 0.486430i | \(-0.838299\pi\) |
0.992770 | + | 0.120030i | \(0.0382990\pi\) | |||||||
\(242\) | −0.714493 | + | 0.791978i | −0.0459293 | + | 0.0509103i | ||||
\(243\) | −14.7068 | − | 5.16807i | −0.943444 | − | 0.331532i | ||||
\(244\) | −1.19022 | − | 1.32704i | −0.0761961 | − | 0.0849552i | ||||
\(245\) | −3.17405 | − | 3.36855i | −0.202783 | − | 0.215209i | ||||
\(246\) | 12.2291 | + | 12.6318i | 0.779701 | + | 0.805374i | ||||
\(247\) | 5.80459 | − | 4.21728i | 0.369337 | − | 0.268339i | ||||
\(248\) | −0.0390938 | + | 13.4350i | −0.00248246 | + | 0.853122i | ||||
\(249\) | 9.71423 | − | 2.44503i | 0.615615 | − | 0.154947i | ||||
\(250\) | 9.77006 | − | 12.4317i | 0.617913 | − | 0.786247i | ||||
\(251\) | 4.04127 | 0.255083 | 0.127541 | − | 0.991833i | \(-0.459291\pi\) | ||||
0.127541 | + | 0.991833i | \(0.459291\pi\) | |||||||
\(252\) | −7.47752 | − | 11.0259i | −0.471040 | − | 0.694569i | ||||
\(253\) | 1.56261 | + | 2.15075i | 0.0982404 | + | 0.135216i | ||||
\(254\) | 9.87645 | + | 17.1449i | 0.619704 | + | 1.07577i | ||||
\(255\) | 15.8493 | − | 24.8066i | 0.992522 | − | 1.55345i | ||||
\(256\) | −1.54893 | − | 15.9248i | −0.0968083 | − | 0.995303i | ||||
\(257\) | −19.6268 | −1.22428 | −0.612142 | − | 0.790748i | \(-0.709692\pi\) | ||||
−0.612142 | + | 0.790748i | \(0.709692\pi\) | |||||||
\(258\) | 5.26553 | + | 2.79124i | 0.327818 | + | 0.173775i | ||||
\(259\) | −15.1693 | − | 4.92880i | −0.942573 | − | 0.306260i | ||||
\(260\) | 7.48375 | + | 6.46297i | 0.464122 | + | 0.400817i | ||||
\(261\) | −19.2665 | + | 20.1297i | −1.19257 | + | 1.24600i | ||||
\(262\) | 21.8843 | + | 9.76898i | 1.35202 | + | 0.603530i | ||||
\(263\) | 25.7298 | + | 8.36013i | 1.58657 | + | 0.515508i | 0.963739 | − | 0.266848i | \(-0.0859821\pi\) |
0.622832 | + | 0.782356i | \(0.285982\pi\) | |||||||
\(264\) | −3.78323 | − | 15.2179i | −0.232842 | − | 0.936599i | ||||
\(265\) | 9.72446 | + | 1.83794i | 0.597369 | + | 0.112904i | ||||
\(266\) | 4.15350 | − | 9.30461i | 0.254667 | − | 0.570502i | ||||
\(267\) | 4.58947 | + | 1.84238i | 0.280871 | + | 0.112752i | ||||
\(268\) | 19.6803 | + | 4.22310i | 1.20217 | + | 0.257967i | ||||
\(269\) | −1.97549 | + | 2.71903i | −0.120448 | + | 0.165782i | −0.864983 | − | 0.501801i | \(-0.832671\pi\) |
0.744535 | + | 0.667583i | \(0.232671\pi\) | |||||||
\(270\) | 14.8156 | − | 7.10625i | 0.901647 | − | 0.432473i | ||||
\(271\) | 9.53068 | + | 13.1179i | 0.578948 | + | 0.796853i | 0.993580 | − | 0.113136i | \(-0.0360896\pi\) |
−0.414632 | + | 0.909989i | \(0.636090\pi\) | |||||||
\(272\) | −29.7629 | + | 6.20570i | −1.80464 | + | 0.376276i | ||||
\(273\) | −4.52217 | − | 7.20123i | −0.273694 | − | 0.435838i | ||||
\(274\) | −1.55796 | + | 14.6859i | −0.0941197 | + | 0.887211i | ||||
\(275\) | −15.4881 | + | 4.03275i | −0.933967 | + | 0.243184i | ||||
\(276\) | 2.87529 | − | 0.101236i | 0.173072 | − | 0.00609369i | ||||
\(277\) | −7.57933 | + | 2.46267i | −0.455398 | + | 0.147968i | −0.527729 | − | 0.849413i | \(-0.676956\pi\) |
0.0723308 | + | 0.997381i | \(0.476956\pi\) | |||||||
\(278\) | −7.44336 | + | 4.28781i | −0.446423 | + | 0.257166i | ||||
\(279\) | 12.8355 | + | 6.18966i | 0.768443 | + | 0.370565i | ||||
\(280\) | 13.7910 | + | 2.64812i | 0.824172 | + | 0.158255i | ||||
\(281\) | −0.493286 | + | 0.678950i | −0.0294270 | + | 0.0405027i | −0.823477 | − | 0.567350i | \(-0.807969\pi\) |
0.794050 | + | 0.607852i | \(0.207969\pi\) | |||||||
\(282\) | 1.51268 | + | 10.6659i | 0.0900789 | + | 0.635147i | ||||
\(283\) | 13.6738 | + | 9.93457i | 0.812821 | + | 0.590549i | 0.914647 | − | 0.404253i | \(-0.132469\pi\) |
−0.101826 | + | 0.994802i | \(0.532469\pi\) | |||||||
\(284\) | 13.0592 | − | 22.5182i | 0.774922 | − | 1.33621i | ||||
\(285\) | 10.5907 | + | 6.76654i | 0.627337 | + | 0.400815i | ||||
\(286\) | −2.07149 | − | 9.79227i | −0.122490 | − | 0.579029i | ||||
\(287\) | 15.1572 | + | 4.92488i | 0.894702 | + | 0.290706i | ||||
\(288\) | −15.9448 | − | 5.81056i | −0.939558 | − | 0.342391i | ||||
\(289\) | 12.5990 | + | 38.7757i | 0.741116 | + | 2.28092i | ||||
\(290\) | −0.636456 | − | 29.3644i | −0.0373740 | − | 1.72433i | ||||
\(291\) | 0.970449 | − | 14.3370i | 0.0568887 | − | 0.840450i | ||||
\(292\) | 4.24374 | − | 3.80620i | 0.248346 | − | 0.222741i | ||||
\(293\) | 15.0280 | 0.877944 | 0.438972 | − | 0.898501i | \(-0.355343\pi\) | ||||
0.438972 | + | 0.898501i | \(0.355343\pi\) | |||||||
\(294\) | 4.47964 | + | 2.37464i | 0.261258 | + | 0.138492i | ||||
\(295\) | 23.5724 | − | 11.1412i | 1.37244 | − | 0.648666i | ||||
\(296\) | −19.3415 | + | 6.22226i | −1.12420 | + | 0.361661i | ||||
\(297\) | −16.2917 | − | 3.34926i | −0.945338 | − | 0.194344i | ||||
\(298\) | −4.84069 | − | 22.8828i | −0.280414 | − | 1.32556i | ||||
\(299\) | 1.83638 | 0.106200 | ||||||||
\(300\) | −5.75007 | + | 16.3382i | −0.331981 | + | 0.943286i | ||||
\(301\) | 5.40220 | 0.311378 | ||||||||
\(302\) | −5.06190 | − | 23.9285i | −0.291280 | − | 1.37693i | ||||
\(303\) | 7.41293 | − | 8.87446i | 0.425862 | − | 0.509825i | ||||
\(304\) | −2.64940 | − | 12.7066i | −0.151953 | − | 0.728776i | ||||
\(305\) | 0.957174 | − | 1.74811i | 0.0548076 | − | 0.100097i | ||||
\(306\) | −7.69219 | + | 31.3163i | −0.439733 | + | 1.79023i | ||||
\(307\) | −1.21153 | −0.0691455 | −0.0345728 | − | 0.999402i | \(-0.511007\pi\) | ||||
−0.0345728 | + | 0.999402i | \(0.511007\pi\) | |||||||
\(308\) | −9.49085 | − | 10.5819i | −0.540791 | − | 0.602958i | ||||
\(309\) | −4.90865 | − | 0.332259i | −0.279243 | − | 0.0189015i | ||||
\(310\) | −14.1817 | + | 4.95016i | −0.805467 | + | 0.281150i | ||||
\(311\) | −0.836808 | − | 2.57543i | −0.0474510 | − | 0.146039i | 0.924524 | − | 0.381124i | \(-0.124463\pi\) |
−0.971975 | + | 0.235085i | \(0.924463\pi\) | |||||||
\(312\) | −10.0405 | − | 4.06458i | −0.568430 | − | 0.230112i | ||||
\(313\) | 21.0317 | + | 6.83360i | 1.18878 | + | 0.386258i | 0.835621 | − | 0.549306i | \(-0.185108\pi\) |
0.353158 | + | 0.935564i | \(0.385108\pi\) | |||||||
\(314\) | 0.646828 | + | 3.05767i | 0.0365026 | + | 0.172554i | ||||
\(315\) | 8.84881 | − | 11.9814i | 0.498574 | − | 0.675077i | ||||
\(316\) | −1.50257 | − | 0.871398i | −0.0845260 | − | 0.0490200i | ||||
\(317\) | −13.7444 | − | 9.98586i | −0.771960 | − | 0.560862i | 0.130595 | − | 0.991436i | \(-0.458311\pi\) |
−0.902555 | + | 0.430574i | \(0.858311\pi\) | |||||||
\(318\) | −10.7338 | + | 1.52231i | −0.601922 | + | 0.0853668i | ||||
\(319\) | −17.4749 | + | 24.0521i | −0.978404 | + | 1.34666i | ||||
\(320\) | 16.2173 | − | 7.54978i | 0.906575 | − | 0.422045i | ||||
\(321\) | −7.61296 | + | 9.11393i | −0.424914 | + | 0.508690i | ||||
\(322\) | 2.25984 | − | 1.30180i | 0.125936 | − | 0.0725463i | ||||
\(323\) | −23.4571 | + | 7.62166i | −1.30519 | + | 0.424080i | ||||
\(324\) | −12.8606 | + | 12.5938i | −0.714480 | + | 0.699656i | ||||
\(325\) | −4.03483 | + | 10.2928i | −0.223812 | + | 0.570939i | ||||
\(326\) | 2.11681 | − | 19.9539i | 0.117239 | − | 1.10515i | ||||
\(327\) | 9.54856 | − | 5.99622i | 0.528037 | − | 0.331592i | ||||
\(328\) | 19.3261 | − | 6.21731i | 1.06710 | − | 0.343293i | ||||
\(329\) | 5.73978 | + | 7.90014i | 0.316445 | + | 0.435549i | ||||
\(330\) | 14.6418 | − | 9.64322i | 0.806003 | − | 0.530842i | ||||
\(331\) | −17.4398 | + | 24.0038i | −0.958578 | + | 1.31937i | −0.0109683 | + | 0.999940i | \(0.503491\pi\) |
−0.947610 | + | 0.319430i | \(0.896509\pi\) | |||||||
\(332\) | 2.42683 | − | 11.3094i | 0.133190 | − | 0.620685i | ||||
\(333\) | −2.90409 | + | 21.3536i | −0.159143 | + | 1.17017i | ||||
\(334\) | −5.07125 | + | 11.3605i | −0.277486 | + | 0.621621i | ||||
\(335\) | 2.85840 | + | 22.3219i | 0.156171 | + | 1.21957i | ||||
\(336\) | −15.2371 | + | 2.11577i | −0.831253 | + | 0.115425i | ||||
\(337\) | 9.22333 | + | 2.99684i | 0.502427 | + | 0.163248i | 0.549255 | − | 0.835655i | \(-0.314911\pi\) |
−0.0468285 | + | 0.998903i | \(0.514911\pi\) | |||||||
\(338\) | 10.4747 | + | 4.67581i | 0.569748 | + | 0.254331i | ||||
\(339\) | 5.38505 | − | 3.38166i | 0.292476 | − | 0.183666i | ||||
\(340\) | −17.6015 | − | 29.0794i | −0.954573 | − | 1.57705i | ||||
\(341\) | 14.4601 | + | 4.69838i | 0.783060 | + | 0.254432i | ||||
\(342\) | −13.3699 | − | 3.28402i | −0.722959 | − | 0.177580i | ||||
\(343\) | 20.1386 | 1.08738 | ||||||||
\(344\) | 5.57904 | − | 4.02866i | 0.300802 | − | 0.217211i | ||||
\(345\) | 1.17498 | + | 2.99438i | 0.0632590 | + | 0.161212i | ||||
\(346\) | −3.24482 | − | 5.63281i | −0.174443 | − | 0.302822i | ||||
\(347\) | −7.86637 | − | 10.8271i | −0.422289 | − | 0.581230i | 0.543873 | − | 0.839167i | \(-0.316957\pi\) |
−0.966162 | + | 0.257937i | \(0.916957\pi\) | |||||||
\(348\) | 11.0131 | + | 30.2311i | 0.590362 | + | 1.62056i | ||||
\(349\) | 17.9590 | 0.961324 | 0.480662 | − | 0.876906i | \(-0.340396\pi\) | ||||
0.480662 | + | 0.876906i | \(0.340396\pi\) | |||||||
\(350\) | 2.33123 | + | 15.5265i | 0.124609 | + | 0.829926i | ||||
\(351\) | −8.48646 | + | 7.74457i | −0.452974 | + | 0.413374i | ||||
\(352\) | −17.6929 | − | 3.85051i | −0.943034 | − | 0.205233i | ||||
\(353\) | −19.0805 | + | 13.8628i | −1.01555 | + | 0.737842i | −0.965366 | − | 0.260898i | \(-0.915982\pi\) |
−0.0501863 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(354\) | −20.5202 | + | 19.8661i | −1.09064 | + | 1.05587i | ||||
\(355\) | 28.5973 | + | 5.40494i | 1.51778 | + | 0.286864i | ||||
\(356\) | 4.25115 | − | 3.81285i | 0.225311 | − | 0.202081i | ||||
\(357\) | 7.13482 | + | 28.3470i | 0.377615 | + | 1.50028i | ||||
\(358\) | 21.7230 | − | 24.0789i | 1.14810 | − | 1.27261i | ||||
\(359\) | 3.27037 | − | 10.0652i | 0.172603 | − | 0.531218i | −0.826913 | − | 0.562330i | \(-0.809905\pi\) |
0.999516 | + | 0.0311121i | \(0.00990489\pi\) | |||||||
\(360\) | 0.203391 | − | 18.9726i | 0.0107197 | − | 0.999943i | ||||
\(361\) | 2.61741 | + | 8.05557i | 0.137759 | + | 0.423977i | ||||
\(362\) | 5.36270 | + | 2.39387i | 0.281858 | + | 0.125819i | ||||
\(363\) | 1.30338 | + | 0.0882241i | 0.0684099 | + | 0.00463057i | ||||
\(364\) | −9.76706 | + | 1.00741i | −0.511933 | + | 0.0528024i | ||||
\(365\) | 5.59028 | + | 3.06094i | 0.292609 | + | 0.160217i | ||||
\(366\) | −0.376409 | + | 2.15054i | −0.0196752 | + | 0.112410i | ||||
\(367\) | −23.3165 | − | 16.9404i | −1.21711 | − | 0.884284i | −0.221255 | − | 0.975216i | \(-0.571015\pi\) |
−0.995857 | + | 0.0909323i | \(0.971015\pi\) | |||||||
\(368\) | 1.36301 | − | 3.02967i | 0.0710516 | − | 0.157933i | ||||
\(369\) | 2.90178 | − | 21.3366i | 0.151061 | − | 1.11074i | ||||
\(370\) | −13.7471 | − | 18.0839i | −0.714680 | − | 0.940136i | ||||
\(371\) | −7.95040 | + | 5.77631i | −0.412764 | + | 0.299891i | ||||
\(372\) | 12.9634 | − | 10.1341i | 0.672121 | − | 0.525430i | ||||
\(373\) | −30.5562 | + | 9.92832i | −1.58214 | + | 0.514069i | −0.962607 | − | 0.270901i | \(-0.912679\pi\) |
−0.619534 | + | 0.784970i | \(0.712679\pi\) | |||||||
\(374\) | −3.62967 | + | 34.2147i | −0.187686 | + | 1.76920i | ||||
\(375\) | −19.3649 | + | 0.00653677i | −1.00000 | + | 0.000337558i | ||||
\(376\) | 11.8192 | + | 3.87833i | 0.609526 | + | 0.200010i | ||||
\(377\) | 6.34611 | + | 19.5313i | 0.326841 | + | 1.00591i | ||||
\(378\) | −4.95332 | + | 15.5464i | −0.254772 | + | 0.799623i | ||||
\(379\) | −18.2870 | − | 25.1699i | −0.939341 | − | 1.29289i | −0.956102 | − | 0.293032i | \(-0.905336\pi\) |
0.0167615 | − | 0.999860i | \(-0.494664\pi\) | |||||||
\(380\) | 12.4149 | − | 7.51458i | 0.636869 | − | 0.385490i | ||||
\(381\) | 9.02776 | − | 22.4886i | 0.462506 | − | 1.15213i | ||||
\(382\) | 3.04986 | − | 28.7492i | 0.156044 | − | 1.47094i | ||||
\(383\) | −1.71204 | + | 2.35642i | −0.0874812 | + | 0.120408i | −0.850514 | − | 0.525952i | \(-0.823709\pi\) |
0.763033 | + | 0.646359i | \(0.223709\pi\) | |||||||
\(384\) | −14.1581 | + | 13.5480i | −0.722501 | + | 0.691370i | ||||
\(385\) | 7.63253 | − | 13.9395i | 0.388990 | − | 0.710423i | ||||
\(386\) | 0.479265 | + | 2.26557i | 0.0243939 | + | 0.115314i | ||||
\(387\) | −1.29947 | − | 7.18238i | −0.0660558 | − | 0.365101i | ||||
\(388\) | −14.3537 | − | 8.32427i | −0.728698 | − | 0.422601i | ||||
\(389\) | −22.1585 | + | 7.19974i | −1.12348 | + | 0.365041i | −0.811096 | − | 0.584914i | \(-0.801128\pi\) |
−0.312386 | + | 0.949955i | \(0.601128\pi\) | |||||||
\(390\) | 0.555851 | − | 12.0978i | 0.0281466 | − | 0.612594i | ||||
\(391\) | −6.00373 | − | 1.95073i | −0.303622 | − | 0.0986527i | ||||
\(392\) | 4.74636 | − | 3.42737i | 0.239727 | − | 0.173108i | ||||
\(393\) | −7.16431 | − | 28.4642i | −0.361391 | − | 1.43583i | ||||
\(394\) | −17.3529 | + | 19.2348i | −0.874228 | + | 0.969037i | ||||
\(395\) | 0.360654 | − | 1.90820i | 0.0181465 | − | 0.0960120i | ||||
\(396\) | −11.7859 | + | 15.1638i | −0.592265 | + | 0.762008i | ||||
\(397\) | 0.146297 | + | 0.201360i | 0.00734242 | + | 0.0101060i | 0.812672 | − | 0.582721i | \(-0.198012\pi\) |
−0.805330 | + | 0.592827i | \(0.798012\pi\) | |||||||
\(398\) | 0.858939 | + | 4.06035i | 0.0430547 | + | 0.203527i | ||||
\(399\) | −12.1022 | + | 3.04606i | −0.605866 | + | 0.152494i | ||||
\(400\) | 13.9863 | + | 14.2962i | 0.699316 | + | 0.714812i | ||||
\(401\) | − | 17.4083i | − | 0.869330i | −0.900592 | − | 0.434665i | \(-0.856867\pi\) | ||
0.900592 | − | 0.434665i | \(-0.143133\pi\) | |||||||
\(402\) | −10.8346 | − | 22.1435i | −0.540381 | − | 1.10442i | ||||
\(403\) | 8.49677 | − | 6.17326i | 0.423254 | − | 0.307512i | ||||
\(404\) | −5.40709 | − | 12.2082i | −0.269013 | − | 0.607381i | ||||
\(405\) | −18.0582 | − | 8.88267i | −0.897318 | − | 0.441384i | ||||
\(406\) | 21.6551 | + | 19.5364i | 1.07473 | + | 0.969577i | ||||
\(407\) | 22.9933i | 1.13974i | ||||||||
\(408\) | 28.5080 | + | 23.9542i | 1.41135 | + | 1.18591i | ||||
\(409\) | 8.89595 | − | 27.3789i | 0.439876 | − | 1.35380i | −0.448130 | − | 0.893969i | \(-0.647910\pi\) |
0.888006 | − | 0.459832i | \(-0.152090\pi\) | |||||||
\(410\) | 13.7362 | + | 18.0695i | 0.678383 | + | 0.892389i | ||||
\(411\) | 15.3177 | − | 9.61905i | 0.755564 | − | 0.474473i | ||||
\(412\) | −2.85003 | + | 4.91436i | −0.140411 | + | 0.242113i | ||||
\(413\) | −8.00040 | + | 24.6227i | −0.393674 | + | 1.21160i | ||||
\(414\) | −2.27437 | − | 2.69138i | −0.111779 | − | 0.132274i | ||||
\(415\) | 12.8274 | − | 1.64260i | 0.629673 | − | 0.0806321i | ||||
\(416\) | −9.33551 | + | 8.32411i | −0.457711 | + | 0.408123i | ||||
\(417\) | 9.76330 | + | 3.91935i | 0.478111 | + | 0.191932i | ||||
\(418\) | −14.6073 | − | 1.54961i | −0.714464 | − | 0.0757940i | ||||
\(419\) | 24.6316 | + | 17.8959i | 1.20333 | + | 0.874274i | 0.994609 | − | 0.103700i | \(-0.0330683\pi\) |
0.208726 | + | 0.977974i | \(0.433068\pi\) | |||||||
\(420\) | −7.89201 | − | 15.2815i | −0.385091 | − | 0.745661i | ||||
\(421\) | 5.26715 | − | 3.82681i | 0.256705 | − | 0.186507i | −0.451988 | − | 0.892024i | \(-0.649285\pi\) |
0.708693 | + | 0.705517i | \(0.249285\pi\) | |||||||
\(422\) | 21.5231 | − | 12.3986i | 1.04773 | − | 0.603552i | ||||
\(423\) | 9.12278 | − | 9.53154i | 0.443565 | − | 0.463440i | ||||
\(424\) | −3.90301 | + | 11.8944i | −0.189547 | + | 0.577641i | ||||
\(425\) | 24.1249 | − | 29.3644i | 1.17023 | − | 1.42438i | ||||
\(426\) | −31.5655 | + | 4.47673i | −1.52935 | + | 0.216898i | ||||
\(427\) | 0.611556 | + | 1.88217i | 0.0295952 | + | 0.0910848i | ||||
\(428\) | 5.55299 | + | 12.5376i | 0.268414 | + | 0.606029i | ||||
\(429\) | −7.85863 | + | 9.40804i | −0.379418 | + | 0.454224i | ||||
\(430\) | 6.32096 | + | 4.38637i | 0.304824 | + | 0.211529i | ||||
\(431\) | −11.8184 | − | 8.58660i | −0.569274 | − | 0.413602i | 0.265567 | − | 0.964092i | \(-0.414441\pi\) |
−0.834842 | + | 0.550490i | \(0.814441\pi\) | |||||||
\(432\) | 6.47819 | + | 19.7493i | 0.311682 | + | 0.950186i | ||||
\(433\) | −1.60425 | + | 2.20806i | −0.0770954 | + | 0.106113i | −0.845823 | − | 0.533464i | \(-0.820890\pi\) |
0.768728 | + | 0.639576i | \(0.220890\pi\) | |||||||
\(434\) | 6.07990 | − | 13.6201i | 0.291844 | − | 0.653786i | ||||
\(435\) | −27.7871 | + | 22.8448i | −1.33229 | + | 1.09532i | ||||
\(436\) | −1.33578 | − | 12.9508i | −0.0639724 | − | 0.620229i | ||||
\(437\) | 0.832824 | − | 2.56317i | 0.0398394 | − | 0.122613i | ||||
\(438\) | −6.87719 | − | 1.20372i | −0.328605 | − | 0.0575158i | ||||
\(439\) | −35.1235 | + | 11.4123i | −1.67635 | + | 0.544680i | −0.984198 | − | 0.177070i | \(-0.943338\pi\) |
−0.692154 | + | 0.721750i | \(0.743338\pi\) | |||||||
\(440\) | −2.51292 | − | 20.0877i | −0.119799 | − | 0.957644i | ||||
\(441\) | −1.10552 | − | 6.11040i | −0.0526439 | − | 0.290971i | ||||
\(442\) | 17.6468 | + | 15.9203i | 0.839374 | + | 0.757251i | ||||
\(443\) | 25.9558i | 1.23320i | 0.787277 | + | 0.616599i | \(0.211490\pi\) | ||||
−0.787277 | + | 0.616599i | \(0.788510\pi\) | |||||||
\(444\) | 20.6338 | + | 13.9090i | 0.979235 | + | 0.660092i | ||||
\(445\) | 5.60005 | + | 3.06629i | 0.265468 | + | 0.145356i | ||||
\(446\) | −7.28929 | − | 12.6538i | −0.345158 | − | 0.599173i | ||||
\(447\) | −18.3642 | + | 21.9849i | −0.868598 | + | 1.03985i | ||||
\(448\) | −5.58733 | + | 16.8615i | −0.263976 | + | 0.796631i | ||||
\(449\) | − | 7.55456i | − | 0.356522i | −0.983983 | − | 0.178261i | \(-0.942953\pi\) | ||
0.983983 | − | 0.178261i | \(-0.0570471\pi\) | |||||||
\(450\) | 20.0822 | − | 6.83425i | 0.946682 | − | 0.322169i | ||||
\(451\) | − | 22.9750i | − | 1.08185i | ||||||
\(452\) | −0.753335 | − | 7.30377i | −0.0354339 | − | 0.343540i | ||||
\(453\) | −19.2034 | + | 22.9896i | −0.902255 | + | 1.08014i | ||||
\(454\) | 14.8370 | − | 8.54695i | 0.696334 | − | 0.401128i | ||||
\(455\) | −4.69098 | − | 9.92509i | −0.219917 | − | 0.465296i | ||||
\(456\) | −10.2267 | + | 12.1709i | −0.478911 | + | 0.569954i | ||||
\(457\) | − | 16.6963i | − | 0.781018i | −0.920599 | − | 0.390509i | \(-0.872299\pi\) | ||
0.920599 | − | 0.390509i | \(-0.127701\pi\) | |||||||
\(458\) | 15.0085 | − | 16.6361i | 0.701299 | − | 0.777354i | ||||
\(459\) | 35.9719 | − | 16.3047i | 1.67903 | − | 0.761036i | ||||
\(460\) | 3.70118 | + | 0.311702i | 0.172568 | + | 0.0145332i | ||||
\(461\) | 17.8198 | − | 5.78999i | 0.829949 | − | 0.269667i | 0.136925 | − | 0.990581i | \(-0.456278\pi\) |
0.693024 | + | 0.720915i | \(0.256278\pi\) | |||||||
\(462\) | −3.00150 | + | 17.1484i | −0.139642 | + | 0.797818i | ||||
\(463\) | 2.49936 | − | 7.69225i | 0.116155 | − | 0.357489i | −0.876031 | − | 0.482255i | \(-0.839818\pi\) |
0.992186 | + | 0.124766i | \(0.0398180\pi\) | |||||||
\(464\) | 36.9332 | + | 4.02677i | 1.71458 | + | 0.186938i | ||||
\(465\) | 15.5026 | + | 9.90486i | 0.718917 | + | 0.459327i | ||||
\(466\) | 11.0580 | + | 4.93619i | 0.512252 | + | 0.228665i | ||||
\(467\) | 6.50921 | − | 8.95915i | 0.301210 | − | 0.414580i | −0.631405 | − | 0.775453i | \(-0.717521\pi\) |
0.932615 | + | 0.360873i | \(0.117521\pi\) | |||||||
\(468\) | 3.68879 | + | 12.7433i | 0.170514 | + | 0.589057i | ||||
\(469\) | −18.0786 | − | 13.1349i | −0.834791 | − | 0.606511i | ||||
\(470\) | 0.301365 | + | 13.9042i | 0.0139009 | + | 0.641352i | ||||
\(471\) | 2.45388 | − | 2.93769i | 0.113069 | − | 0.135362i | ||||
\(472\) | 10.0999 | + | 31.3950i | 0.464887 | + | 1.44507i | ||||
\(473\) | −2.40656 | − | 7.40662i | −0.110654 | − | 0.340557i | ||||
\(474\) | 0.298718 | + | 2.10626i | 0.0137206 | + | 0.0967437i | ||||
\(475\) | 12.5365 | + | 10.2996i | 0.575215 | + | 0.472580i | ||||
\(476\) | 33.0019 | + | 7.08172i | 1.51264 | + | 0.324590i | ||||
\(477\) | 9.59219 | + | 9.18083i | 0.439196 | + | 0.420361i | ||||
\(478\) | 11.7271 | + | 20.3576i | 0.536387 | + | 0.931133i | ||||
\(479\) | −13.6976 | + | 9.95186i | −0.625858 | + | 0.454712i | −0.854963 | − | 0.518690i | \(-0.826420\pi\) |
0.229105 | + | 0.973402i | \(0.426420\pi\) | |||||||
\(480\) | −19.5464 | − | 9.89632i | −0.892168 | − | 0.451703i | ||||
\(481\) | 12.8496 | + | 9.33577i | 0.585891 | + | 0.425675i | ||||
\(482\) | −0.892271 | + | 8.41090i | −0.0406418 | + | 0.383106i | ||||
\(483\) | −2.96418 | − | 1.18993i | −0.134875 | − | 0.0541438i | ||||
\(484\) | 0.756764 | − | 1.30490i | 0.0343984 | − | 0.0593137i | ||||
\(485\) | 3.44524 | − | 18.2286i | 0.156440 | − | 0.827719i | ||||
\(486\) | 21.8609 | + | 2.84598i | 0.991632 | + | 0.129096i | ||||
\(487\) | −6.35483 | + | 19.5581i | −0.287965 | + | 0.886264i | 0.697530 | + | 0.716556i | \(0.254283\pi\) |
−0.985494 | + | 0.169708i | \(0.945717\pi\) | |||||||
\(488\) | 2.03519 | + | 1.48772i | 0.0921289 | + | 0.0673460i | ||||
\(489\) | −20.8122 | + | 13.0695i | −0.941161 | + | 0.591022i | ||||
\(490\) | 5.37754 | + | 3.73169i | 0.242933 | + | 0.168581i | ||||
\(491\) | −1.93856 | + | 5.96628i | −0.0874861 | + | 0.269255i | −0.985223 | − | 0.171278i | \(-0.945210\pi\) |
0.897737 | + | 0.440533i | \(0.145210\pi\) | |||||||
\(492\) | −20.6174 | − | 13.8979i | −0.929502 | − | 0.626568i | ||||
\(493\) | − | 70.5957i | − | 3.17947i | ||||||
\(494\) | −6.79684 | + | 7.53395i | −0.305804 | + | 0.338968i | ||||
\(495\) | −20.3689 | − | 6.79459i | −0.915515 | − | 0.305394i | ||||
\(496\) | −3.87819 | − | 18.6000i | −0.174136 | − | 0.835165i | ||||
\(497\) | −23.3802 | + | 16.9867i | −1.04874 | + | 0.761958i | ||||
\(498\) | −12.7249 | + | 6.22618i | −0.570217 | + | 0.279002i | ||||
\(499\) | − | 40.8446i | − | 1.82845i | −0.405203 | − | 0.914227i | \(-0.632799\pi\) | ||
0.405203 | − | 0.914227i | \(-0.367201\pi\) | |||||||
\(500\) | −9.87918 | + | 20.0600i | −0.441810 | + | 0.897108i | ||||
\(501\) | 14.7762 | − | 3.71912i | 0.660154 | − | 0.166158i | ||||
\(502\) | −5.59148 | + | 1.18284i | −0.249560 | + | 0.0527927i | ||||
\(503\) | 4.94087 | + | 6.80053i | 0.220303 | + | 0.303221i | 0.904835 | − | 0.425762i | \(-0.139994\pi\) |
−0.684533 | + | 0.728982i | \(0.739994\pi\) | |||||||
\(504\) | 13.5730 | + | 13.0668i | 0.604591 | + | 0.582043i | ||||
\(505\) | 10.8647 | − | 10.2374i | 0.483473 | − | 0.455558i | ||||
\(506\) | −2.79152 | − | 2.51840i | −0.124098 | − | 0.111957i | ||||
\(507\) | −3.42911 | − | 13.6240i | −0.152292 | − | 0.605065i | ||||
\(508\) | −18.6831 | − | 20.8308i | −0.828930 | − | 0.924219i | ||||
\(509\) | −10.3227 | − | 3.35404i | −0.457545 | − | 0.148665i | 0.0711712 | − | 0.997464i | \(-0.477326\pi\) |
−0.528716 | + | 0.848799i | \(0.677326\pi\) | |||||||
\(510\) | −14.6684 | + | 38.9612i | −0.649526 | + | 1.72523i | ||||
\(511\) | −6.01899 | + | 1.95569i | −0.266265 | + | 0.0865146i | ||||
\(512\) | 6.80413 | + | 21.5802i | 0.300703 | + | 0.953718i | ||||
\(513\) | 6.96094 | + | 15.3575i | 0.307333 | + | 0.678049i | ||||
\(514\) | 27.1555 | − | 5.74455i | 1.19778 | − | 0.253381i | ||||
\(515\) | −6.24104 | − | 1.17957i | −0.275013 | − | 0.0519780i | ||||
\(516\) | −8.10232 | − | 2.32078i | −0.356685 | − | 0.102167i | ||||
\(517\) | 8.27444 | − | 11.3888i | 0.363909 | − | 0.500878i | ||||
\(518\) | 22.4307 | + | 2.37956i | 0.985550 | + | 0.104552i | ||||
\(519\) | −2.96599 | + | 7.38844i | −0.130193 | + | 0.324317i | ||||
\(520\) | −12.2461 | − | 6.75171i | −0.537028 | − | 0.296082i | ||||
\(521\) | 22.1598 | + | 30.5003i | 0.970838 | + | 1.33624i | 0.941623 | + | 0.336670i | \(0.109301\pi\) |
0.0292153 | + | 0.999573i | \(0.490699\pi\) | |||||||
\(522\) | 20.7652 | − | 33.4905i | 0.908869 | − | 1.46584i | ||||
\(523\) | 8.70530 | + | 26.7921i | 0.380656 | + | 1.17154i | 0.939583 | + | 0.342322i | \(0.111213\pi\) |
−0.558927 | + | 0.829217i | \(0.688787\pi\) | |||||||
\(524\) | −33.1383 | − | 7.11099i | −1.44765 | − | 0.310645i | ||||
\(525\) | 13.1823 | − | 13.9995i | 0.575323 | − | 0.610990i | ||||
\(526\) | −38.0466 | − | 4.03617i | −1.65891 | − | 0.175985i | ||||
\(527\) | −34.3365 | + | 11.1566i | −1.49572 | + | 0.485989i | ||||
\(528\) | 9.68859 | + | 19.9481i | 0.421642 | + | 0.868131i | ||||
\(529\) | −18.0493 | + | 13.1136i | −0.784754 | + | 0.570157i | ||||
\(530\) | −13.9927 | + | 0.303283i | −0.607802 | + | 0.0131738i | ||||
\(531\) | 34.6610 | + | 4.71390i | 1.50416 | + | 0.204566i | ||||
\(532\) | −3.02339 | + | 14.0895i | −0.131081 | + | 0.610857i | ||||
\(533\) | −12.8394 | − | 9.32835i | −0.556135 | − | 0.404056i | ||||
\(534\) | −6.88921 | − | 1.20582i | −0.298125 | − | 0.0521809i | ||||
\(535\) | −11.1579 | + | 10.5136i | −0.482397 | + | 0.454544i | ||||
\(536\) | −28.4656 | − | 0.0828307i | −1.22953 | − | 0.00357774i | ||||
\(537\) | −39.6274 | − | 2.68232i | −1.71005 | − | 0.115750i | ||||
\(538\) | 1.93745 | − | 4.34024i | 0.0835293 | − | 0.187121i | ||||
\(539\) | −2.04737 | − | 6.30117i | −0.0881866 | − | 0.271411i | ||||
\(540\) | −18.4188 | + | 14.1685i | −0.792620 | + | 0.609717i | ||||
\(541\) | −7.33516 | + | 22.5753i | −0.315363 | + | 0.970589i | 0.660241 | + | 0.751054i | \(0.270454\pi\) |
−0.975605 | + | 0.219535i | \(0.929546\pi\) | |||||||
\(542\) | −17.0261 | − | 15.3603i | −0.731332 | − | 0.659780i | ||||
\(543\) | −1.75560 | − | 6.97508i | −0.0753398 | − | 0.299329i | ||||
\(544\) | 39.3634 | − | 17.2974i | 1.68769 | − | 0.741622i | ||||
\(545\) | 13.1603 | − | 6.22007i | 0.563725 | − | 0.266438i | ||||
\(546\) | 8.36457 | + | 8.63999i | 0.357970 | + | 0.369757i | ||||
\(547\) | 17.8819 | − | 12.9919i | 0.764573 | − | 0.555495i | −0.135736 | − | 0.990745i | \(-0.543340\pi\) |
0.900310 | + | 0.435250i | \(0.143340\pi\) | |||||||
\(548\) | −2.14284 | − | 20.7754i | −0.0915377 | − | 0.887481i | ||||
\(549\) | 2.35530 | − | 1.26583i | 0.100522 | − | 0.0540242i | ||||
\(550\) | 20.2489 | − | 10.1129i | 0.863416 | − | 0.431215i | ||||
\(551\) | 30.1394 | 1.28398 | ||||||||
\(552\) | −3.94860 | + | 0.981636i | −0.168063 | + | 0.0417812i | ||||
\(553\) | 1.13347 | + | 1.56008i | 0.0481999 | + | 0.0663414i | ||||
\(554\) | 9.76592 | − | 5.62573i | 0.414914 | − | 0.239015i | ||||
\(555\) | −7.00117 | + | 26.9258i | −0.297183 | + | 1.14294i | ||||
\(556\) | 9.04360 | − | 8.11118i | 0.383534 | − | 0.343991i | ||||
\(557\) | 21.1546 | 0.896349 | 0.448174 | − | 0.893946i | \(-0.352074\pi\) | ||||
0.448174 | + | 0.893946i | \(0.352074\pi\) | |||||||
\(558\) | −19.5708 | − | 4.80716i | −0.828498 | − | 0.203503i | ||||
\(559\) | −5.11623 | − | 1.66236i | −0.216394 | − | 0.0703105i | ||||
\(560\) | −19.8563 | + | 0.372571i | −0.839081 | + | 0.0157440i | ||||
\(561\) | 35.6864 | − | 22.4100i | 1.50668 | − | 0.946153i | ||||
\(562\) | 0.483786 | − | 1.08377i | 0.0204073 | − | 0.0457161i | ||||
\(563\) | −7.52078 | − | 2.44365i | −0.316963 | − | 0.102988i | 0.146215 | − | 0.989253i | \(-0.453291\pi\) |
−0.463178 | + | 0.886265i | \(0.653291\pi\) | |||||||
\(564\) | −5.21475 | − | 14.3146i | −0.219580 | − | 0.602752i | ||||
\(565\) | 7.42195 | − | 3.50790i | 0.312244 | − | 0.147578i | ||||
\(566\) | −21.8267 | − | 9.74325i | −0.917444 | − | 0.409539i | ||||
\(567\) | 18.7167 | − | 7.00183i | 0.786028 | − | 0.294049i | ||||
\(568\) | −11.4778 | + | 34.9784i | −0.481598 | + | 1.46766i | ||||
\(569\) | 18.7928 | − | 25.8661i | 0.787837 | − | 1.08436i | −0.206537 | − | 0.978439i | \(-0.566219\pi\) |
0.994374 | − | 0.105925i | \(-0.0337805\pi\) | |||||||
\(570\) | −16.6337 | − | 6.26236i | −0.696708 | − | 0.262301i | ||||
\(571\) | −15.2801 | − | 21.0313i | −0.639453 | − | 0.880132i | 0.359133 | − | 0.933286i | \(-0.383072\pi\) |
−0.998586 | + | 0.0531546i | \(0.983072\pi\) | |||||||
\(572\) | 5.73219 | + | 12.9422i | 0.239675 | + | 0.541142i | ||||
\(573\) | −29.9858 | + | 18.8303i | −1.25268 | + | 0.786645i | ||||
\(574\) | −22.4129 | − | 2.37767i | −0.935496 | − | 0.0992421i | ||||
\(575\) | 1.04638 | + | 4.01870i | 0.0436370 | + | 0.167591i | ||||
\(576\) | 23.7619 | + | 3.37257i | 0.990077 | + | 0.140524i | ||||
\(577\) | −20.7615 | + | 6.74582i | −0.864312 | + | 0.280832i | −0.707428 | − | 0.706785i | \(-0.750145\pi\) |
−0.156884 | + | 0.987617i | \(0.550145\pi\) | |||||||
\(578\) | −28.7811 | − | 49.9622i | −1.19714 | − | 2.07815i | ||||
\(579\) | 1.81819 | − | 2.17667i | 0.0755616 | − | 0.0904593i | ||||
\(580\) | 9.47524 | + | 40.4421i | 0.393438 | + | 1.67927i | ||||
\(581\) | −7.54804 | + | 10.3890i | −0.313145 | + | 0.431008i | ||||
\(582\) | 2.85358 | + | 20.1206i | 0.118285 | + | 0.834027i | ||||
\(583\) | 11.4613 | + | 8.32709i | 0.474677 | + | 0.344873i | ||||
\(584\) | −4.75758 | + | 6.50833i | −0.196870 | + | 0.269317i | ||||
\(585\) | −12.0673 | + | 8.62423i | −0.498922 | + | 0.356568i | ||||
\(586\) | −20.7926 | + | 4.39854i | −0.858936 | + | 0.181702i | ||||
\(587\) | 29.9981 | + | 9.74698i | 1.23816 | + | 0.402301i | 0.853662 | − | 0.520827i | \(-0.174376\pi\) |
0.384493 | + | 0.923128i | \(0.374376\pi\) | |||||||
\(588\) | −6.89304 | − | 1.97440i | −0.284264 | − | 0.0814228i | ||||
\(589\) | −4.76308 | − | 14.6593i | −0.196259 | − | 0.604024i | ||||
\(590\) | −29.3537 | + | 22.3143i | −1.20847 | + | 0.918665i | ||||
\(591\) | 31.6554 | + | 2.14271i | 1.30213 | + | 0.0881391i | ||||
\(592\) | 24.9395 | − | 14.2701i | 1.02501 | − | 0.586498i | ||||
\(593\) | −8.20475 | −0.336929 | −0.168464 | − | 0.985708i | \(-0.553881\pi\) | ||||
−0.168464 | + | 0.985708i | \(0.553881\pi\) | |||||||
\(594\) | 23.5213 | − | 0.134389i | 0.965092 | − | 0.00551403i | ||||
\(595\) | 4.79326 | + | 37.4316i | 0.196504 | + | 1.53454i | ||||
\(596\) | 13.3951 | + | 30.2437i | 0.548685 | + | 1.23883i | ||||
\(597\) | 3.25857 | − | 3.90103i | 0.133364 | − | 0.159659i | ||||
\(598\) | −2.54080 | + | 0.537488i | −0.103901 | + | 0.0219795i | ||||
\(599\) | −10.2164 | −0.417433 | −0.208716 | − | 0.977976i | \(-0.566929\pi\) | ||||
−0.208716 | + | 0.977976i | \(0.566929\pi\) | |||||||
\(600\) | 3.17375 | − | 24.2884i | 0.129568 | − | 0.991571i | ||||
\(601\) | −32.0029 | −1.30543 | −0.652714 | − | 0.757605i | \(-0.726369\pi\) | ||||
−0.652714 | + | 0.757605i | \(0.726369\pi\) | |||||||
\(602\) | −7.47446 | + | 1.58117i | −0.304636 | + | 0.0644436i | ||||
\(603\) | −13.1145 | + | 27.1955i | −0.534062 | + | 1.10749i | ||||
\(604\) | 14.0072 | + | 31.6257i | 0.569946 | + | 1.28683i | ||||
\(605\) | 1.65717 | + | 0.313209i | 0.0673737 | + | 0.0127338i | ||||
\(606\) | −7.65902 | + | 14.4483i | −0.311127 | + | 0.586924i | ||||
\(607\) | −3.71162 | −0.150650 | −0.0753250 | − | 0.997159i | \(-0.523999\pi\) | ||||
−0.0753250 | + | 0.997159i | \(0.523999\pi\) | |||||||
\(608\) | 7.38479 | + | 16.8054i | 0.299493 | + | 0.681548i | ||||
\(609\) | 2.41232 | − | 35.6385i | 0.0977521 | − | 1.44415i | ||||
\(610\) | −0.812686 | + | 2.69883i | −0.0329047 | + | 0.109273i | ||||
\(611\) | −3.00492 | − | 9.24818i | −0.121566 | − | 0.374141i | ||||
\(612\) | 1.47691 | − | 45.5805i | 0.0597005 | − | 1.84248i | ||||
\(613\) | 36.8735 | + | 11.9809i | 1.48931 | + | 0.483905i | 0.936879 | − | 0.349654i | \(-0.113701\pi\) |
0.552429 | + | 0.833560i | \(0.313701\pi\) | |||||||
\(614\) | 1.67626 | − | 0.354602i | 0.0676484 | − | 0.0143106i | ||||
\(615\) | 6.99560 | − | 26.9044i | 0.282090 | − | 1.08489i | ||||
\(616\) | 16.2287 | + | 11.8631i | 0.653872 | + | 0.477979i | ||||
\(617\) | 17.6832 | + | 12.8476i | 0.711899 | + | 0.517225i | 0.883786 | − | 0.467892i | \(-0.154986\pi\) |
−0.171887 | + | 0.985117i | \(0.554986\pi\) | |||||||
\(618\) | 6.88882 | − | 0.976999i | 0.277109 | − | 0.0393006i | ||||
\(619\) | 1.44134 | − | 1.98384i | 0.0579325 | − | 0.0797372i | −0.779068 | − | 0.626940i | \(-0.784307\pi\) |
0.837000 | + | 0.547202i | \(0.184307\pi\) | |||||||
\(620\) | 18.1729 | − | 10.9999i | 0.729840 | − | 0.441765i | ||||
\(621\) | −0.869032 | + | 4.22720i | −0.0348730 | + | 0.169632i | ||||
\(622\) | 1.91160 | + | 3.31842i | 0.0766483 | + | 0.133057i | ||||
\(623\) | −6.02951 | + | 1.95911i | −0.241567 | + | 0.0784899i | ||||
\(624\) | 15.0816 | + | 2.68499i | 0.603747 | + | 0.107486i | ||||
\(625\) | −24.8236 | − | 2.96490i | −0.992943 | − | 0.118596i | ||||
\(626\) | −31.0994 | − | 3.29918i | −1.24298 | − | 0.131862i | ||||
\(627\) | 9.56751 | + | 15.2356i | 0.382089 | + | 0.608450i | ||||
\(628\) | −1.78989 | − | 4.04125i | −0.0714246 | − | 0.161263i | ||||
\(629\) | −32.0925 | − | 44.1715i | −1.27961 | − | 1.76123i | ||||
\(630\) | −8.73632 | + | 19.1674i | −0.348063 | + | 0.763647i | ||||
\(631\) | 13.2529 | − | 18.2411i | 0.527591 | − | 0.726167i | −0.459170 | − | 0.888349i | \(-0.651853\pi\) |
0.986761 | + | 0.162181i | \(0.0518529\pi\) | |||||||
\(632\) | 2.33399 | + | 0.765875i | 0.0928412 | + | 0.0304649i | ||||
\(633\) | −28.2314 | − | 11.3331i | −1.12210 | − | 0.450452i | ||||
\(634\) | 21.9394 | + | 9.79355i | 0.871324 | + | 0.388952i | ||||
\(635\) | 15.0250 | − | 27.4405i | 0.596247 | − | 1.08894i | ||||
\(636\) | 14.4057 | − | 5.24793i | 0.571222 | − | 0.208094i | ||||
\(637\) | −4.35262 | − | 1.41425i | −0.172457 | − | 0.0560347i | ||||
\(638\) | 17.1383 | − | 38.3930i | 0.678512 | − | 1.51999i | ||||
\(639\) | 28.2083 | + | 26.9986i | 1.11590 | + | 1.06805i | ||||
\(640\) | −20.2284 | + | 15.1925i | −0.799599 | + | 0.600535i | ||||
\(641\) | 12.9328 | + | 4.20211i | 0.510813 | + | 0.165973i | 0.553072 | − | 0.833133i | \(-0.313455\pi\) |
−0.0422587 | + | 0.999107i | \(0.513455\pi\) | |||||||
\(642\) | 7.86569 | − | 14.8382i | 0.310434 | − | 0.585617i | ||||
\(643\) | −29.1672 | −1.15024 | −0.575121 | − | 0.818068i | \(-0.695045\pi\) | ||||
−0.575121 | + | 0.818068i | \(0.695045\pi\) | |||||||
\(644\) | −2.74568 | + | 2.46259i | −0.108195 | + | 0.0970396i | ||||
\(645\) | −0.562925 | − | 9.40613i | −0.0221652 | − | 0.370366i | ||||
\(646\) | 30.2243 | − | 17.4109i | 1.18916 | − | 0.685023i | ||||
\(647\) | −27.0800 | − | 37.2724i | −1.06462 | − | 1.46533i | −0.875402 | − | 0.483395i | \(-0.839403\pi\) |
−0.189222 | − | 0.981934i | \(-0.560597\pi\) | |||||||
\(648\) | 14.1078 | − | 21.1889i | 0.554208 | − | 0.832379i | ||||
\(649\) | 37.3226 | 1.46504 | ||||||||
\(650\) | 2.56999 | − | 15.4219i | 0.100803 | − | 0.604899i | ||||
\(651\) | −17.7152 | + | 4.45883i | −0.694313 | + | 0.174755i | ||||
\(652\) | 2.91150 | + | 28.2277i | 0.114023 | + | 1.10548i | ||||
\(653\) | 9.13539 | − | 6.63725i | 0.357495 | − | 0.259736i | −0.394511 | − | 0.918891i | \(-0.629086\pi\) |
0.752007 | + | 0.659156i | \(0.229086\pi\) | |||||||
\(654\) | −11.4563 | + | 11.0911i | −0.447977 | + | 0.433696i | ||||
\(655\) | −4.81307 | − | 37.5863i | −0.188062 | − | 1.46862i | ||||
\(656\) | −24.9197 | + | 14.2588i | −0.972951 | + | 0.556712i | ||||
\(657\) | 4.04798 | + | 7.53199i | 0.157927 | + | 0.293851i | ||||
\(658\) | −10.2538 | − | 9.25061i | −0.399736 | − | 0.360626i | ||||
\(659\) | 1.28381 | − | 3.95117i | 0.0500102 | − | 0.153916i | −0.922933 | − | 0.384961i | \(-0.874215\pi\) |
0.972943 | + | 0.231046i | \(0.0742147\pi\) | |||||||
\(660\) | −17.4358 | + | 17.6278i | −0.678687 | + | 0.686161i | ||||
\(661\) | −13.8966 | − | 42.7694i | −0.540517 | − | 1.66354i | −0.731418 | − | 0.681930i | \(-0.761141\pi\) |
0.190901 | − | 0.981609i | \(-0.438859\pi\) | |||||||
\(662\) | 17.1039 | − | 38.3160i | 0.664763 | − | 1.48919i | ||||
\(663\) | 1.96581 | − | 29.0419i | 0.0763456 | − | 1.12790i | ||||
\(664\) | −0.0475992 | + | 16.3580i | −0.00184721 | + | 0.634812i | ||||
\(665\) | −15.9806 | + | 2.04638i | −0.619703 | + | 0.0793553i | ||||
\(666\) | −2.23189 | − | 30.3947i | −0.0864841 | − | 1.17777i | ||||
\(667\) | 6.24079 | + | 4.53420i | 0.241644 | + | 0.175565i | ||||
\(668\) | 3.69144 | − | 17.2027i | 0.142826 | − | 0.665592i | ||||
\(669\) | −6.66292 | + | 16.5977i | −0.257603 | + | 0.641703i | ||||
\(670\) | −10.4882 | − | 30.0478i | −0.405196 | − | 1.16085i | ||||
\(671\) | 2.30810 | − | 1.67693i | 0.0891031 | − | 0.0647372i | ||||
\(672\) | 20.4627 | − | 7.38712i | 0.789367 | − | 0.284964i | ||||
\(673\) | −11.1174 | + | 3.61228i | −0.428546 | + | 0.139243i | −0.515345 | − | 0.856983i | \(-0.672336\pi\) |
0.0867989 | + | 0.996226i | \(0.472336\pi\) | |||||||
\(674\) | −13.6385 | − | 1.44684i | −0.525335 | − | 0.0557302i | ||||
\(675\) | −21.7837 | − | 14.1587i | −0.838456 | − | 0.544970i | ||||
\(676\) | −15.8613 | − | 3.40359i | −0.610049 | − | 0.130907i | ||||
\(677\) | 11.6601 | + | 35.8861i | 0.448134 | + | 1.37921i | 0.879010 | + | 0.476804i | \(0.158205\pi\) |
−0.430876 | + | 0.902411i | \(0.641795\pi\) | |||||||
\(678\) | −6.46095 | + | 6.25499i | −0.248131 | + | 0.240221i | ||||
\(679\) | 10.8277 | + | 14.9031i | 0.415531 | + | 0.571929i | ||||
\(680\) | 32.8645 | + | 35.0823i | 1.26030 | + | 1.34535i | ||||
\(681\) | −19.4613 | − | 7.81251i | −0.745761 | − | 0.299376i | ||||
\(682\) | −21.3821 | − | 2.26832i | −0.818764 | − | 0.0868586i | ||||
\(683\) | 22.4255 | − | 30.8661i | 0.858088 | − | 1.18106i | −0.123934 | − | 0.992291i | \(-0.539551\pi\) |
0.982022 | − | 0.188767i | \(-0.0604490\pi\) | |||||||
\(684\) | 19.4596 | + | 0.630536i | 0.744058 | + | 0.0241092i | ||||
\(685\) | 21.1116 | − | 9.97814i | 0.806631 | − | 0.381245i | ||||
\(686\) | −27.8637 | + | 5.89437i | −1.06384 | + | 0.225048i | ||||
\(687\) | −27.3786 | − | 1.85321i | −1.04456 | − | 0.0707045i | ||||
\(688\) | −6.53998 | + | 7.20696i | −0.249334 | + | 0.274763i | ||||
\(689\) | 9.30702 | − | 3.02404i | 0.354569 | − | 0.115207i | ||||
\(690\) | −2.50213 | − | 3.79910i | −0.0952543 | − | 0.144629i | ||||
\(691\) | −12.0881 | − | 3.92767i | −0.459854 | − | 0.149416i | 0.0699232 | − | 0.997552i | \(-0.477725\pi\) |
−0.529778 | + | 0.848137i | \(0.677725\pi\) | |||||||
\(692\) | 6.13819 | + | 6.84380i | 0.233339 | + | 0.260162i | ||||
\(693\) | 18.7812 | − | 10.0937i | 0.713439 | − | 0.383429i | ||||
\(694\) | 14.0528 | + | 12.6779i | 0.533439 | + | 0.481248i | ||||
\(695\) | 11.9131 | + | 6.52300i | 0.451891 | + | 0.247431i | ||||
\(696\) | −24.0859 | − | 38.6041i | −0.912975 | − | 1.46329i | ||||
\(697\) | 32.0670 | + | 44.1364i | 1.21462 | + | 1.67179i | ||||
\(698\) | −24.8480 | + | 5.25642i | −0.940510 | + | 0.198958i | ||||
\(699\) | −3.62007 | − | 14.3827i | −0.136924 | − | 0.544005i | ||||
\(700\) | −7.76991 | − | 20.8000i | −0.293675 | − | 0.786168i | ||||
\(701\) | 23.1560i | 0.874589i | 0.899318 | + | 0.437295i | \(0.144063\pi\) | ||||
−0.899318 | + | 0.437295i | \(0.855937\pi\) | |||||||
\(702\) | 9.47506 | − | 13.1992i | 0.357613 | − | 0.498173i | ||||
\(703\) | 18.8581 | − | 13.7012i | 0.711248 | − | 0.516752i | ||||
\(704\) | 25.6068 | + | 0.149025i | 0.965092 | + | 0.00561659i | ||||
\(705\) | 13.1573 | − | 10.8171i | 0.495534 | − | 0.407397i | ||||
\(706\) | 22.3422 | − | 24.7652i | 0.840859 | − | 0.932049i | ||||
\(707\) | 14.8234i | 0.557490i | ||||||||
\(708\) | 22.5770 | − | 33.4926i | 0.848497 | − | 1.25873i | ||||
\(709\) | 4.04843 | − | 12.4598i | 0.152042 | − | 0.467937i | −0.845807 | − | 0.533489i | \(-0.820881\pi\) |
0.997849 | + | 0.0655517i | \(0.0208807\pi\) | |||||||
\(710\) | −41.1490 | + | 0.891880i | −1.54429 | + | 0.0334717i | ||||
\(711\) | 1.80152 | − | 1.88224i | 0.0675625 | − | 0.0705897i | ||||
\(712\) | −4.76589 | + | 6.51970i | −0.178609 | + | 0.244336i | ||||
\(713\) | 1.21909 | − | 3.75197i | 0.0456553 | − | 0.140512i | ||||
\(714\) | −18.1686 | − | 37.1325i | −0.679941 | − | 1.38965i | ||||
\(715\) | −11.5179 | + | 10.8529i | −0.430747 | + | 0.405876i | ||||
\(716\) | −23.0082 | + | 39.6735i | −0.859858 | + | 1.48267i | ||||
\(717\) | 10.7194 | − | 26.7026i | 0.400324 | − | 0.997226i | ||||
\(718\) | −1.57889 | + | 14.8833i | −0.0589238 | + | 0.555439i | ||||
\(719\) | −22.4988 | − | 16.3463i | −0.839062 | − | 0.609614i | 0.0830464 | − | 0.996546i | \(-0.473535\pi\) |
−0.922108 | + | 0.386931i | \(0.873535\pi\) | |||||||
\(720\) | 5.27167 | + | 26.3099i | 0.196463 | + | 0.980511i | ||||
\(721\) | 5.10247 | − | 3.70716i | 0.190026 | − | 0.138062i | ||||
\(722\) | −5.97922 | − | 10.3795i | −0.222523 | − | 0.386287i | ||||
\(723\) | 8.77269 | − | 5.50900i | 0.326260 | − | 0.204882i | ||||
\(724\) | −8.12047 | − | 1.74253i | −0.301795 | − | 0.0647606i | ||||
\(725\) | −39.1259 | + | 25.0168i | −1.45310 | + | 0.929099i | ||||
\(726\) | −1.82918 | + | 0.259421i | −0.0678871 | + | 0.00962801i | ||||
\(727\) | 3.79354 | + | 11.6753i | 0.140695 | + | 0.433014i | 0.996432 | − | 0.0843963i | \(-0.0268962\pi\) |
−0.855738 | + | 0.517410i | \(0.826896\pi\) | |||||||
\(728\) | 13.2188 | − | 4.25256i | 0.489921 | − | 0.157610i | ||||
\(729\) | −13.8113 | − | 23.2002i | −0.511531 | − | 0.859265i | ||||
\(730\) | −8.63059 | − | 2.59888i | −0.319432 | − | 0.0961889i | ||||
\(731\) | 14.9608 | + | 10.8697i | 0.553345 | + | 0.402029i | ||||
\(732\) | −0.108642 | − | 3.08564i | −0.00401554 | − | 0.114049i | ||||
\(733\) | −14.8309 | + | 20.4130i | −0.547792 | + | 0.753970i | −0.989710 | − | 0.143085i | \(-0.954298\pi\) |
0.441919 | + | 0.897055i | \(0.354298\pi\) | |||||||
\(734\) | 37.2189 | + | 16.6142i | 1.37377 | + | 0.613241i | ||||
\(735\) | −0.478907 | − | 8.00224i | −0.0176648 | − | 0.295167i | ||||
\(736\) | −0.999093 | + | 4.59077i | −0.0368271 | + | 0.169218i | ||||
\(737\) | −9.95479 | + | 30.6377i | −0.366689 | + | 1.12855i | ||||
\(738\) | 2.23012 | + | 30.3705i | 0.0820918 | + | 1.11795i | ||||
\(739\) | 15.9853 | − | 5.19394i | 0.588029 | − | 0.191062i | 0.000134647 | − | 1.00000i | \(-0.499957\pi\) |
0.587894 | + | 0.808938i | \(0.299957\pi\) | |||||||
\(740\) | 24.3134 | + | 20.9971i | 0.893779 | + | 0.771868i | ||||
\(741\) | 12.3989 | + | 0.839260i | 0.455484 | + | 0.0308310i | ||||
\(742\) | 9.30947 | − | 10.3191i | 0.341761 | − | 0.378825i | ||||
\(743\) | − | 22.9850i | − | 0.843239i | −0.906773 | − | 0.421620i | \(-0.861462\pi\) | ||
0.906773 | − | 0.421620i | \(-0.138538\pi\) | |||||||
\(744\) | −14.9699 | + | 17.8158i | −0.548824 | + | 0.653158i | ||||
\(745\) | −26.9154 | + | 25.3613i | −0.986104 | + | 0.929167i | ||||
\(746\) | 39.3715 | − | 22.6803i | 1.44149 | − | 0.830383i | ||||
\(747\) | 15.6281 | + | 7.53632i | 0.571802 | + | 0.275740i | ||||
\(748\) | −4.99230 | − | 48.4016i | −0.182537 | − | 1.76974i | ||||
\(749\) | − | 15.2234i | − | 0.556249i | ||||||
\(750\) | 26.7913 | − | 5.67695i | 0.978279 | − | 0.207293i | ||||
\(751\) | 15.1363i | 0.552333i | 0.961110 | + | 0.276166i | \(0.0890641\pi\) | ||||
−0.961110 | + | 0.276166i | \(0.910936\pi\) | |||||||
\(752\) | −17.4881 | − | 1.90670i | −0.637724 | − | 0.0695301i | ||||
\(753\) | 5.37208 | + | 4.48736i | 0.195770 | + | 0.163528i | ||||
\(754\) | −14.4970 | − | 25.1660i | −0.527951 | − | 0.916490i | ||||
\(755\) | −28.1453 | + | 26.5203i | −1.02431 | + | 0.965171i | ||||
\(756\) | 2.30311 | − | 22.9597i | 0.0837633 | − | 0.835038i | ||||
\(757\) | − | 32.0552i | − | 1.16507i | −0.812807 | − | 0.582533i | \(-0.802062\pi\) | ||
0.812807 | − | 0.582533i | \(-0.197938\pi\) | |||||||
\(758\) | 32.6688 | + | 29.4725i | 1.18658 | + | 1.07049i | ||||
\(759\) | −0.310967 | + | 4.59409i | −0.0112874 | + | 0.166755i | ||||
\(760\) | −14.9777 | + | 14.0308i | −0.543297 | + | 0.508952i | ||||
\(761\) | −17.0493 | + | 5.53967i | −0.618038 | + | 0.200813i | −0.601269 | − | 0.799047i | \(-0.705338\pi\) |
−0.0167691 | + | 0.999859i | \(0.505338\pi\) | |||||||
\(762\) | −5.90857 | + | 33.7574i | −0.214045 | + | 1.22290i | ||||
\(763\) | −4.46657 | + | 13.7467i | −0.161701 | + | 0.497664i | ||||
\(764\) | 4.19483 | + | 40.6699i | 0.151764 | + | 1.47139i | ||||
\(765\) | 48.6133 | − | 15.3767i | 1.75762 | − | 0.555947i | ||||
\(766\) | 1.67907 | − | 3.76143i | 0.0606672 | − | 0.135906i | ||||
\(767\) | 15.1538 | − | 20.8574i | 0.547171 | − | 0.753117i | ||||
\(768\) | 15.6237 | − | 22.8889i | 0.563770 | − | 0.825932i | ||||
\(769\) | −18.4579 | − | 13.4104i | −0.665608 | − | 0.483592i | 0.202944 | − | 0.979190i | \(-0.434949\pi\) |
−0.868552 | + | 0.495598i | \(0.834949\pi\) | |||||||
\(770\) | −6.48037 | + | 21.5206i | −0.233536 | + | 0.775547i | ||||
\(771\) | −26.0899 | − | 21.7932i | −0.939606 | − | 0.784863i | ||||
\(772\) | −1.32622 | − | 2.99435i | −0.0477315 | − | 0.107769i | ||||
\(773\) | −9.76752 | − | 30.0613i | −0.351313 | − | 1.08123i | −0.958116 | − | 0.286379i | \(-0.907548\pi\) |
0.606803 | − | 0.794852i | \(-0.292452\pi\) | |||||||
\(774\) | 3.90015 | + | 9.55716i | 0.140188 | + | 0.343525i | ||||
\(775\) | 18.3510 | + | 15.0766i | 0.659186 | + | 0.541569i | ||||
\(776\) | 22.2961 | + | 7.31624i | 0.800383 | + | 0.262638i | ||||
\(777\) | −14.6917 | − | 23.3956i | −0.527063 | − | 0.839311i | ||||
\(778\) | 28.5511 | − | 16.4471i | 1.02361 | − | 0.589657i | ||||
\(779\) | −18.8431 | + | 13.6903i | −0.675125 | + | 0.490507i | ||||
\(780\) | 2.77182 | + | 16.9011i | 0.0992470 | + | 0.605156i | ||||
\(781\) | 33.7047 | + | 24.4879i | 1.20605 | + | 0.876247i | ||||
\(782\) | 8.87768 | + | 0.941789i | 0.317465 | + | 0.0336783i | ||||
\(783\) | −47.9627 | + | 5.36541i | −1.71405 | + | 0.191744i | ||||
\(784\) | −5.56388 | + | 6.13130i | −0.198710 | + | 0.218975i | ||||
\(785\) | 3.59652 | − | 3.38886i | 0.128365 | − | 0.120953i | ||||
\(786\) | 18.2437 | + | 37.2859i | 0.650730 | + | 1.32995i | ||||
\(787\) | −2.82585 | + | 8.69708i | −0.100731 | + | 0.310017i | −0.988705 | − | 0.149876i | \(-0.952112\pi\) |
0.887974 | + | 0.459894i | \(0.152112\pi\) | |||||||
\(788\) | 18.3796 | − | 31.6922i | 0.654746 | − | 1.12899i | ||||
\(789\) | 24.9199 | + | 39.6831i | 0.887171 | + | 1.41276i | ||||
\(790\) | 0.0595122 | + | 2.74573i | 0.00211735 | + | 0.0976888i | ||||
\(791\) | −2.51899 | + | 7.75265i | −0.0895650 | + | 0.275653i | ||||
\(792\) | 11.8687 | − | 24.4301i | 0.421734 | − | 0.868086i | ||||
\(793\) | − | 1.97073i | − | 0.0699826i | ||||||
\(794\) | −0.261351 | − | 0.235781i | −0.00927501 | − | 0.00836756i | ||||
\(795\) | 10.8860 | + | 13.2411i | 0.386085 | + | 0.469612i | ||||
\(796\) | −2.37685 | − | 5.36648i | −0.0842451 | − | 0.190210i | ||||
\(797\) | 5.45265 | − | 3.96158i | 0.193143 | − | 0.140326i | −0.487011 | − | 0.873396i | \(-0.661913\pi\) |
0.680154 | + | 0.733069i | \(0.261913\pi\) | |||||||
\(798\) | 15.8529 | − | 7.75670i | 0.561188 | − | 0.274584i | ||||
\(799\) | 33.4274i | 1.18258i | ||||||||
\(800\) | −23.5358 | − | 15.6866i | −0.832115 | − | 0.554603i | ||||
\(801\) | 4.05505 | + | 7.54515i | 0.143278 | + | 0.266595i | ||||
\(802\) | 5.09523 | + | 24.0860i | 0.179919 | + | 0.850508i | ||||
\(803\) | 5.36265 | + | 7.38105i | 0.189244 | + | 0.260472i | ||||
\(804\) | 21.4719 | + | 27.4664i | 0.757255 | + | 0.968667i | ||||
\(805\) | −3.61688 | − | 1.98041i | −0.127478 | − | 0.0698003i | ||||
\(806\) | −9.94923 | + | 11.0282i | −0.350447 | + | 0.388452i | ||||
\(807\) | −5.64520 | + | 1.42087i | −0.198720 | + | 0.0500170i | ||||
\(808\) | 11.0544 | + | 15.3086i | 0.388894 | + | 0.538555i | ||||
\(809\) | −17.2246 | − | 5.59660i | −0.605584 | − | 0.196766i | −0.00985455 | − | 0.999951i | \(-0.503137\pi\) |
−0.595729 | + | 0.803185i | \(0.703137\pi\) | |||||||
\(810\) | 27.5851 | + | 7.00457i | 0.969240 | + | 0.246116i | ||||
\(811\) | −2.23587 | + | 0.726477i | −0.0785119 | + | 0.0255101i | −0.348010 | − | 0.937491i | \(-0.613142\pi\) |
0.269498 | + | 0.963001i | \(0.413142\pi\) | |||||||
\(812\) | −35.6800 | − | 20.6923i | −1.25212 | − | 0.726156i | ||||
\(813\) | −1.89665 | + | 28.0203i | −0.0665185 | + | 0.982716i | ||||
\(814\) | −6.72990 | − | 31.8134i | −0.235883 | − | 1.11506i | ||||
\(815\) | −28.6844 | + | 13.5574i | −1.00477 | + | 0.474894i | ||||
\(816\) | −46.4546 | − | 24.7989i | −1.62624 | − | 0.868134i | ||||
\(817\) | −4.64058 | + | 6.38720i | −0.162353 | + | 0.223460i | ||||
\(818\) | −4.29486 | + | 40.4851i | −0.150166 | + | 1.41553i | ||||
\(819\) | 1.98478 | − | 14.5940i | 0.0693538 | − | 0.509954i | ||||
\(820\) | −24.2941 | − | 20.9804i | −0.848387 | − | 0.732667i | ||||
\(821\) | 7.52785 | + | 10.3612i | 0.262724 | + | 0.361608i | 0.919916 | − | 0.392114i | \(-0.128256\pi\) |
−0.657193 | + | 0.753723i | \(0.728256\pi\) | |||||||
\(822\) | −18.3780 | + | 17.7922i | −0.641007 | + | 0.620573i | ||||
\(823\) | −15.2517 | − | 46.9401i | −0.531642 | − | 1.63623i | −0.750794 | − | 0.660536i | \(-0.770329\pi\) |
0.219152 | − | 0.975691i | \(-0.429671\pi\) | |||||||
\(824\) | 2.50491 | − | 7.63365i | 0.0872625 | − | 0.265931i | ||||
\(825\) | −25.0663 | − | 11.8370i | −0.872696 | − | 0.412110i | ||||
\(826\) | 3.86250 | − | 36.4095i | 0.134393 | − | 1.26685i | ||||
\(827\) | 19.3214 | − | 6.27791i | 0.671872 | − | 0.218304i | 0.0468384 | − | 0.998902i | \(-0.485085\pi\) |
0.625033 | + | 0.780598i | \(0.285085\pi\) | |||||||
\(828\) | 3.93454 | + | 3.05809i | 0.136735 | + | 0.106276i | ||||
\(829\) | −14.6280 | + | 10.6278i | −0.508051 | + | 0.369120i | −0.812084 | − | 0.583541i | \(-0.801667\pi\) |
0.304033 | + | 0.952662i | \(0.401667\pi\) | |||||||
\(830\) | −17.2672 | + | 6.02715i | −0.599352 | + | 0.209205i | ||||
\(831\) | −12.8098 | − | 5.14231i | −0.444365 | − | 0.178385i | ||||
\(832\) | 10.4802 | − | 14.2496i | 0.363335 | − | 0.494016i | ||||
\(833\) | 12.7279 | + | 9.24734i | 0.440994 | + | 0.320401i | ||||
\(834\) | −14.6556 | − | 2.56518i | −0.507482 | − | 0.0888247i | ||||
\(835\) | 19.5117 | − | 2.49855i | 0.675230 | − | 0.0864658i | ||||
\(836\) | 20.6641 | − | 2.13136i | 0.714682 | − | 0.0737147i | ||||
\(837\) | 10.1894 | + | 22.4803i | 0.352198 | + | 0.777032i | ||||
\(838\) | −39.3182 | − | 17.5513i | −1.35822 | − | 0.606299i | ||||
\(839\) | −2.42423 | − | 7.46102i | −0.0836938 | − | 0.257583i | 0.900449 | − | 0.434962i | \(-0.143238\pi\) |
−0.984143 | + | 0.177379i | \(0.943238\pi\) | |||||||
\(840\) | 15.3921 | + | 18.8335i | 0.531077 | + | 0.649817i | ||||
\(841\) | −17.6965 | + | 54.4643i | −0.610224 | + | 1.87808i | ||||
\(842\) | −6.16753 | + | 6.83639i | −0.212547 | + | 0.235598i | ||||
\(843\) | −1.40962 | + | 0.354795i | −0.0485499 | + | 0.0122198i | ||||
\(844\) | −26.1503 | + | 23.4542i | −0.900131 | + | 0.807326i | ||||
\(845\) | −2.30372 | − | 17.9902i | −0.0792503 | − | 0.618883i | ||||
\(846\) | −9.83245 | + | 15.8579i | −0.338046 | + | 0.545207i | ||||
\(847\) | −1.35485 | + | 0.984357i | −0.0465532 | + | 0.0338229i | ||||
\(848\) | 1.91883 | − | 17.5993i | 0.0658928 | − | 0.604363i | ||||
\(849\) | 7.14543 | + | 28.3892i | 0.245231 | + | 0.974314i | ||||
\(850\) | −24.7845 | + | 47.6895i | −0.850100 | + | 1.63574i | ||||
\(851\) | 5.96607 | 0.204514 | ||||||||
\(852\) | 42.3635 | − | 15.4329i | 1.45135 | − | 0.528721i | ||||
\(853\) | −3.58570 | − | 4.93529i | −0.122772 | − | 0.168981i | 0.743207 | − | 0.669062i | \(-0.233304\pi\) |
−0.865979 | + | 0.500080i | \(0.833304\pi\) | |||||||
\(854\) | −1.39704 | − | 2.42517i | −0.0478056 | − | 0.0829876i | ||||
\(855\) | 6.56478 | + | 20.7545i | 0.224511 | + | 0.709788i | ||||
\(856\) | −11.3527 | − | 15.7217i | −0.388028 | − | 0.537356i | ||||
\(857\) | 25.4171 | 0.868231 | 0.434115 | − | 0.900857i | \(-0.357061\pi\) | ||||
0.434115 | + | 0.900857i | \(0.357061\pi\) | |||||||
\(858\) | 8.11952 | − | 15.3171i | 0.277196 | − | 0.522915i | ||||
\(859\) | 16.0093 | + | 5.20174i | 0.546231 | + | 0.177481i | 0.569117 | − | 0.822257i | \(-0.307285\pi\) |
−0.0228856 | + | 0.999738i | \(0.507285\pi\) | |||||||
\(860\) | −10.0295 | − | 4.21887i | −0.342003 | − | 0.143862i | ||||
\(861\) | 14.6801 | + | 23.3770i | 0.500295 | + | 0.796685i | ||||
\(862\) | 18.8651 | + | 8.42124i | 0.642549 | + | 0.286828i | ||||
\(863\) | −28.3777 | − | 9.22046i | −0.965987 | − | 0.313868i | −0.216792 | − | 0.976218i | \(-0.569559\pi\) |
−0.749195 | + | 0.662350i | \(0.769559\pi\) | |||||||
\(864\) | −14.7436 | − | 25.4289i | −0.501587 | − | 0.865107i | ||||
\(865\) | −4.93632 | + | 9.01534i | −0.167840 | + | 0.306531i | ||||
\(866\) | 1.57336 | − | 3.52461i | 0.0534648 | − | 0.119771i | ||||
\(867\) | −26.3079 | + | 65.5343i | −0.893464 | + | 2.22566i | ||||
\(868\) | −4.42565 | + | 20.6242i | −0.150216 | + | 0.700032i | ||||
\(869\) | 1.63400 | − | 2.24900i | 0.0554296 | − | 0.0762923i | ||||
\(870\) | 31.7596 | − | 39.7409i | 1.07675 | − | 1.34734i | ||||
\(871\) | 13.0797 | + | 18.0027i | 0.443189 | + | 0.609998i | ||||
\(872\) | 5.63873 | + | 17.5276i | 0.190952 | + | 0.593560i | ||||
\(873\) | 17.2096 | − | 17.9807i | 0.582456 | − | 0.608553i | ||||
\(874\) | −0.402078 | + | 3.79015i | −0.0136005 | + | 0.128204i | ||||
\(875\) | 19.0470 | − | 15.9210i | 0.643905 | − | 0.538230i | ||||
\(876\) | 9.86756 | − | 0.347427i | 0.333394 | − | 0.0117385i | ||||
\(877\) | −45.6035 | + | 14.8175i | −1.53992 | + | 0.500351i | −0.951355 | − | 0.308098i | \(-0.900308\pi\) |
−0.588567 | + | 0.808449i | \(0.700308\pi\) | |||||||
\(878\) | 45.2564 | − | 26.0703i | 1.52733 | − | 0.879830i | ||||
\(879\) | 19.9768 | + | 16.6868i | 0.673800 | + | 0.562832i | ||||
\(880\) | 9.35633 | + | 27.0577i | 0.315402 | + | 0.912116i | ||||
\(881\) | 1.23050 | − | 1.69363i | 0.0414564 | − | 0.0570599i | −0.787786 | − | 0.615950i | \(-0.788772\pi\) |
0.829242 | + | 0.558890i | \(0.188772\pi\) | |||||||
\(882\) | 3.31804 | + | 8.13074i | 0.111724 | + | 0.273776i | ||||
\(883\) | −16.7448 | − | 12.1658i | −0.563506 | − | 0.409411i | 0.269235 | − | 0.963075i | \(-0.413229\pi\) |
−0.832740 | + | 0.553664i | \(0.813229\pi\) | |||||||
\(884\) | −29.0757 | − | 16.8622i | −0.977923 | − | 0.567137i | ||||
\(885\) | 43.7059 | + | 11.3643i | 1.46916 | + | 0.382006i | ||||
\(886\) | −7.59700 | − | 35.9123i | −0.255226 | − | 1.20650i | ||||
\(887\) | 9.28393 | + | 3.01653i | 0.311724 | + | 0.101285i | 0.460701 | − | 0.887555i | \(-0.347598\pi\) |
−0.148977 | + | 0.988841i | \(0.547598\pi\) | |||||||
\(888\) | −32.6198 | − | 13.2051i | −1.09465 | − | 0.443135i | ||||
\(889\) | 9.59971 | + | 29.5449i | 0.321964 | + | 0.990903i | ||||
\(890\) | −8.64566 | − | 2.60342i | −0.289803 | − | 0.0872669i | ||||
\(891\) | −17.9376 | − | 22.5422i | −0.600933 | − | 0.755191i | ||||
\(892\) | 13.7890 | + | 15.3742i | 0.461691 | + | 0.514765i | ||||
\(893\) | −14.2712 | −0.477566 | ||||||||
\(894\) | 18.9739 | − | 35.7932i | 0.634582 | − | 1.19710i | ||||
\(895\) | −50.3838 | − | 9.52263i | −1.68414 | − | 0.318306i | ||||
\(896\) | 2.79541 | − | 24.9648i | 0.0933881 | − | 0.834016i | ||||
\(897\) | 2.44110 | + | 2.03908i | 0.0815061 | + | 0.0680829i | ||||
\(898\) | 2.21114 | + | 10.4524i | 0.0737867 | + | 0.348802i | ||||
\(899\) | 44.1181 | 1.47142 | ||||||||
\(900\) | −25.7852 | + | 15.3337i | −0.859508 | + | 0.511122i | ||||
\(901\) | −33.6401 | −1.12072 | ||||||||
\(902\) | 6.72455 | + | 31.7881i | 0.223903 | + | 1.05843i | ||||
\(903\) | 7.18117 | + | 5.99851i | 0.238975 | + | 0.199618i | ||||
\(904\) | 3.18005 | + | 9.88495i | 0.105767 | + | 0.328769i | ||||
\(905\) | −1.17943 | − | 9.21043i | −0.0392056 | − | 0.306165i | ||||
\(906\) | 19.8409 | − | 37.4289i | 0.659171 | − | 1.24349i | ||||
\(907\) | 38.6456 | 1.28321 | 0.641604 | − | 0.767036i | \(-0.278269\pi\) | ||||
0.641604 | + | 0.767036i | \(0.278269\pi\) | |||||||
\(908\) | −18.0267 | + | 16.1681i | −0.598239 | + | 0.536559i | ||||
\(909\) | 19.7081 | − | 3.56568i | 0.653676 | − | 0.118266i | ||||
\(910\) | 9.39539 | + | 12.3593i | 0.311454 | + | 0.409707i | ||||
\(911\) | −5.60186 | − | 17.2408i | −0.185598 | − | 0.571212i | 0.814360 | − | 0.580360i | \(-0.197088\pi\) |
−0.999958 | + | 0.00914805i | \(0.997088\pi\) | |||||||
\(912\) | 10.5874 | − | 19.8328i | 0.350583 | − | 0.656731i | ||||
\(913\) | 17.6062 | + | 5.72059i | 0.582679 | + | 0.189324i | ||||
\(914\) | 4.88682 | + | 23.1008i | 0.161642 | + | 0.764108i | ||||
\(915\) | 3.21345 | − | 1.26095i | 0.106233 | − | 0.0416856i | ||||
\(916\) | −15.8964 | + | 27.4104i | −0.525232 | + | 0.905666i | ||||
\(917\) | 30.4413 | + | 22.1169i | 1.00526 | + | 0.730364i | ||||
\(918\) | −44.9983 | + | 33.0876i | −1.48517 | + | 1.09205i | ||||
\(919\) | 18.6763 | − | 25.7058i | 0.616075 | − | 0.847955i | −0.380985 | − | 0.924581i | \(-0.624415\pi\) |
0.997060 | + | 0.0766265i | \(0.0244149\pi\) | |||||||
\(920\) | −5.21216 | + | 0.652027i | −0.171840 | + | 0.0214967i | ||||
\(921\) | −1.61049 | − | 1.34526i | −0.0530674 | − | 0.0443278i | ||||
\(922\) | −22.9607 | + | 13.2267i | −0.756169 | + | 0.435597i | ||||
\(923\) | 27.3697 | − | 8.89295i | 0.900884 | − | 0.292715i | ||||
\(924\) | −0.866317 | − | 24.6050i | −0.0284998 | − | 0.809445i | ||||
\(925\) | −13.1085 | + | 33.4394i | −0.431004 | + | 1.09948i | ||||
\(926\) | −1.20666 | + | 11.3745i | −0.0396534 | + | 0.373789i | ||||
\(927\) | −6.15615 | − | 5.89215i | −0.202195 | − | 0.193523i | ||||
\(928\) | −52.2791 | + | 5.23854i | −1.71615 | + | 0.171964i | ||||
\(929\) | −10.5759 | − | 14.5564i | −0.346983 | − | 0.477581i | 0.599482 | − | 0.800388i | \(-0.295373\pi\) |
−0.946465 | + | 0.322807i | \(0.895373\pi\) | |||||||
\(930\) | −24.3484 | − | 9.16685i | −0.798415 | − | 0.300593i | ||||
\(931\) | −3.94796 | + | 5.43390i | −0.129389 | + | 0.178089i | ||||
\(932\) | −16.7445 | − | 3.59313i | −0.548486 | − | 0.117697i | ||||
\(933\) | 1.74734 | − | 4.35271i | 0.0572053 | − | 0.142501i | ||||
\(934\) | −6.38385 | + | 14.3010i | −0.208886 | + | 0.467943i | ||||
\(935\) | 49.1848 | − | 23.2466i | 1.60851 | − | 0.760246i | ||||
\(936\) | −8.83361 | − | 16.5518i | −0.288735 | − | 0.541013i | ||||
\(937\) | 21.5756 | + | 7.01035i | 0.704845 | + | 0.229018i | 0.639440 | − | 0.768841i | \(-0.279166\pi\) |
0.0654048 | + | 0.997859i | \(0.479166\pi\) | |||||||
\(938\) | 28.8579 | + | 12.8819i | 0.942243 | + | 0.420609i | ||||
\(939\) | 20.3696 | + | 32.4371i | 0.664736 | + | 1.05855i | ||||
\(940\) | −4.48658 | − | 19.1495i | −0.146336 | − | 0.624589i | ||||
\(941\) | −4.09131 | − | 1.32935i | −0.133373 | − | 0.0433355i | 0.241570 | − | 0.970383i | \(-0.422338\pi\) |
−0.374943 | + | 0.927048i | \(0.622338\pi\) | |||||||
\(942\) | −2.53535 | + | 4.78280i | −0.0826061 | + | 0.155832i | ||||
\(943\) | −5.96133 | −0.194128 | ||||||||
\(944\) | −23.1632 | − | 40.4817i | −0.753898 | − | 1.31757i | ||||
\(945\) | 25.0667 | − | 6.10141i | 0.815421 | − | 0.198479i | ||||
\(946\) | 5.49754 | + | 9.54338i | 0.178740 | + | 0.310282i | ||||
\(947\) | 29.1597 | + | 40.1349i | 0.947564 | + | 1.30421i | 0.952601 | + | 0.304223i | \(0.0983967\pi\) |
−0.00503698 | + | 0.999987i | \(0.501603\pi\) | |||||||
\(948\) | −1.02978 | − | 2.82678i | −0.0334458 | − | 0.0918094i | ||||
\(949\) | 6.30218 | 0.204577 | ||||||||
\(950\) | −20.3601 | − | 10.5812i | −0.660567 | − | 0.343300i | ||||
\(951\) | −7.18232 | − | 28.5358i | −0.232903 | − | 0.925335i | ||||
\(952\) | −47.7340 | − | 0.138899i | −1.54707 | − | 0.00450174i | ||||
\(953\) | −10.7014 | + | 7.77505i | −0.346654 | + | 0.251859i | −0.747464 | − | 0.664303i | \(-0.768729\pi\) |
0.400810 | + | 0.916161i | \(0.368729\pi\) | |||||||
\(954\) | −15.9588 | − | 9.89501i | −0.516686 | − | 0.320363i | ||||
\(955\) | −41.3280 | + | 19.5332i | −1.33734 | + | 0.632080i | ||||
\(956\) | −22.1840 | − | 24.7342i | −0.717483 | − | 0.799961i | ||||
\(957\) | −49.9364 | + | 12.5688i | −1.61421 | + | 0.406291i | ||||
\(958\) | 16.0391 | − | 17.7785i | 0.518199 | − | 0.574396i | ||||
\(959\) | −7.16521 | + | 22.0522i | −0.231377 | + | 0.712104i | ||||
\(960\) | 29.9409 | + | 7.97145i | 0.966338 | + | 0.257277i | ||||
\(961\) | 2.60732 | + | 8.02452i | 0.0841072 | + | 0.258855i | ||||
\(962\) | −20.5111 | − | 9.15598i | −0.661304 | − | 0.295201i | ||||
\(963\) | −20.2399 | + | 3.66190i | −0.652221 | + | 0.118003i | ||||
\(964\) | −1.22724 | − | 11.8984i | −0.0395269 | − | 0.383223i | ||||
\(965\) | 2.66482 | − | 2.51096i | 0.0857837 | − | 0.0808307i | ||||
\(966\) | 4.44951 | + | 0.778798i | 0.143160 | + | 0.0250574i | ||||
\(967\) | −0.0791676 | − | 0.0575186i | −0.00254586 | − | 0.00184967i | 0.586512 | − | 0.809941i | \(-0.300501\pi\) |
−0.589057 | + | 0.808091i | \(0.700501\pi\) | |||||||
\(968\) | −0.665123 | + | 2.02695i | −0.0213779 | + | 0.0651487i | ||||
\(969\) | −39.6445 | − | 15.9148i | −1.27357 | − | 0.511257i | ||||
\(970\) | 0.568507 | + | 26.2294i | 0.0182537 | + | 0.842175i | ||||
\(971\) | 6.93810 | − | 5.04083i | 0.222654 | − | 0.161768i | −0.470866 | − | 0.882205i | \(-0.656059\pi\) |
0.693521 | + | 0.720437i | \(0.256059\pi\) | |||||||
\(972\) | −31.0796 | + | 2.46079i | −0.996880 | + | 0.0789300i | ||||
\(973\) | −12.8267 | + | 4.16766i | −0.411206 | + | 0.133609i | ||||
\(974\) | 3.06803 | − | 28.9205i | 0.0983062 | − | 0.926674i | ||||
\(975\) | −16.7924 | + | 9.20200i | −0.537788 | + | 0.294700i | ||||
\(976\) | −3.25132 | − | 1.46272i | −0.104072 | − | 0.0468207i | ||||
\(977\) | −14.5557 | − | 44.7978i | −0.465678 | − | 1.43321i | −0.858128 | − | 0.513436i | \(-0.828372\pi\) |
0.392450 | − | 0.919774i | \(-0.371628\pi\) | |||||||
\(978\) | 24.9704 | − | 24.1744i | 0.798464 | − | 0.773011i | ||||
\(979\) | 5.37201 | + | 7.39394i | 0.171690 | + | 0.236311i | ||||
\(980\) | −8.53256 | − | 3.58920i | −0.272563 | − | 0.114653i | ||||
\(981\) | 19.3510 | + | 2.63174i | 0.617831 | + | 0.0840251i | ||||
\(982\) | 0.935915 | − | 8.82231i | 0.0298663 | − | 0.281531i | ||||
\(983\) | −10.3496 | + | 14.2450i | −0.330100 | + | 0.454343i | −0.941517 | − | 0.336965i | \(-0.890600\pi\) |
0.611417 | + | 0.791308i | \(0.290600\pi\) | |||||||
\(984\) | 32.5938 | + | 13.1946i | 1.03905 | + | 0.420629i | ||||
\(985\) | 40.2479 | + | 7.60693i | 1.28240 | + | 0.242377i | ||||
\(986\) | 20.6626 | + | 97.6758i | 0.658032 | + | 3.11063i | ||||
\(987\) | −1.14225 | + | 16.8750i | −0.0363581 | + | 0.537139i | ||||
\(988\) | 7.19896 | − | 12.4133i | 0.229030 | − | 0.394920i | ||||
\(989\) | −1.92180 | + | 0.624429i | −0.0611096 | + | 0.0198557i | ||||
\(990\) | 30.1710 | + | 3.43918i | 0.958898 | + | 0.109304i | ||||
\(991\) | 33.4545 | + | 10.8700i | 1.06272 | + | 0.345297i | 0.787647 | − | 0.616127i | \(-0.211299\pi\) |
0.275069 | + | 0.961424i | \(0.411299\pi\) | |||||||
\(992\) | 10.8099 | + | 24.5997i | 0.343214 | + | 0.781043i | ||||
\(993\) | −49.8362 | + | 12.5436i | −1.58151 | + | 0.398058i | ||||
\(994\) | 27.3769 | − | 30.3458i | 0.868341 | − | 0.962511i | ||||
\(995\) | 4.77590 | − | 4.50015i | 0.151406 | − | 0.142664i | ||||
\(996\) | 15.7838 | − | 12.3390i | 0.500128 | − | 0.390975i | ||||
\(997\) | 11.0464 | + | 15.2041i | 0.349843 | + | 0.481518i | 0.947284 | − | 0.320395i | \(-0.103816\pi\) |
−0.597441 | + | 0.801913i | \(0.703816\pi\) | |||||||
\(998\) | 11.9548 | + | 56.5123i | 0.378422 | + | 1.78887i | ||||
\(999\) | −27.5711 | + | 25.1608i | −0.872310 | + | 0.796052i |
(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 | 300.2.r.a.119.5 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.119.52 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.119.50 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.119.7 | yes | 224 | |
25.4 | even | 10 | inner | 300.2.r.a.179.7 | yes | 224 | |
75.29 | odd | 10 | inner | 300.2.r.a.179.50 | yes | 224 | |
100.79 | odd | 10 | inner | 300.2.r.a.179.52 | yes | 224 | |
300.179 | even | 10 | inner | 300.2.r.a.179.5 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.5 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.119.7 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.119.50 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.119.52 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.179.5 | yes | 224 | 300.179 | even | 10 | inner | |
300.2.r.a.179.7 | yes | 224 | 25.4 | even | 10 | inner | |
300.2.r.a.179.50 | yes | 224 | 75.29 | odd | 10 | inner | |
300.2.r.a.179.52 | yes | 224 | 100.79 | odd | 10 | inner |