Newspace parameters
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.4601315889.1 |
Defining polynomial: |
\( x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(1.07988 - 1.87040i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.11 |
Dual form | 95.2.e.c.26.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.832272 | − | 1.44154i | 0.588506 | − | 1.01932i | −0.405923 | − | 0.913907i | \(-0.633050\pi\) |
0.994428 | − | 0.105414i | \(-0.0336168\pi\) | |||||||
\(3\) | 0.579878 | − | 1.00438i | 0.334793 | − | 0.579878i | −0.648652 | − | 0.761085i | \(-0.724667\pi\) |
0.983445 | + | 0.181207i | \(0.0580004\pi\) | |||||||
\(4\) | −0.385355 | − | 0.667454i | −0.192677 | − | 0.333727i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.965233 | − | 1.67183i | −0.394055 | − | 0.682523i | ||||
\(7\) | −2.43525 | −0.920440 | −0.460220 | − | 0.887805i | \(-0.652229\pi\) | ||||
−0.460220 | + | 0.887805i | \(0.652229\pi\) | |||||||
\(8\) | 2.04621 | 0.723444 | ||||||||
\(9\) | 0.827483 | + | 1.43324i | 0.275828 | + | 0.477748i | ||||
\(10\) | 0.832272 | + | 1.44154i | 0.263188 | + | 0.455854i | ||||
\(11\) | −5.75477 | −1.73513 | −0.867564 | − | 0.497326i | \(-0.834315\pi\) | ||||
−0.867564 | + | 0.497326i | \(0.834315\pi\) | |||||||
\(12\) | −0.893835 | −0.258028 | ||||||||
\(13\) | 0.797505 | + | 1.38132i | 0.221188 | + | 0.383109i | 0.955169 | − | 0.296061i | \(-0.0956732\pi\) |
−0.733981 | + | 0.679170i | \(0.762340\pi\) | |||||||
\(14\) | −2.02680 | + | 3.51051i | −0.541684 | + | 0.938224i | ||||
\(15\) | 0.579878 | + | 1.00438i | 0.149724 | + | 0.259329i | ||||
\(16\) | 2.47371 | − | 4.28460i | 0.618428 | − | 1.07115i | ||||
\(17\) | 2.99203 | − | 5.18234i | 0.725673 | − | 1.25690i | −0.233023 | − | 0.972471i | \(-0.574862\pi\) |
0.958696 | − | 0.284432i | \(-0.0918050\pi\) | |||||||
\(18\) | 2.75477 | 0.649305 | ||||||||
\(19\) | 0.149412 | + | 4.35634i | 0.0342775 | + | 0.999412i | ||||
\(20\) | 0.770710 | 0.172336 | ||||||||
\(21\) | −1.41215 | + | 2.44592i | −0.308156 | + | 0.533743i | ||||
\(22\) | −4.78953 | + | 8.29572i | −1.02113 | + | 1.76865i | ||||
\(23\) | 0.470022 | + | 0.814102i | 0.0980064 | + | 0.169752i | 0.910859 | − | 0.412717i | \(-0.135420\pi\) |
−0.812853 | + | 0.582469i | \(0.802087\pi\) | |||||||
\(24\) | 1.18655 | − | 2.05517i | 0.242204 | − | 0.419509i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 2.65497 | 0.520682 | ||||||||
\(27\) | 5.39862 | 1.03897 | ||||||||
\(28\) | 0.938437 | + | 1.62542i | 0.177348 | + | 0.307176i | ||||
\(29\) | −1.30917 | − | 2.26755i | −0.243106 | − | 0.421073i | 0.718491 | − | 0.695536i | \(-0.244833\pi\) |
−0.961598 | + | 0.274463i | \(0.911500\pi\) | |||||||
\(30\) | 1.93047 | 0.352453 | ||||||||
\(31\) | −5.26913 | −0.946364 | −0.473182 | − | 0.880965i | \(-0.656895\pi\) | ||||
−0.473182 | + | 0.880965i | \(0.656895\pi\) | |||||||
\(32\) | −2.07140 | − | 3.58777i | −0.366175 | − | 0.634233i | ||||
\(33\) | −3.33706 | + | 5.77996i | −0.580908 | + | 1.00616i | ||||
\(34\) | −4.98037 | − | 8.62625i | −0.854126 | − | 1.47939i | ||||
\(35\) | 1.21763 | − | 2.10899i | 0.205817 | − | 0.356485i | ||||
\(36\) | 0.637749 | − | 1.10461i | 0.106292 | − | 0.184102i | ||||
\(37\) | −2.89384 | −0.475744 | −0.237872 | − | 0.971297i | \(-0.576450\pi\) | ||||
−0.237872 | + | 0.971297i | \(0.576450\pi\) | |||||||
\(38\) | 6.40418 | + | 3.41028i | 1.03889 | + | 0.553220i | ||||
\(39\) | 1.84982 | 0.296209 | ||||||||
\(40\) | −1.02310 | + | 1.77207i | −0.161767 | + | 0.280189i | ||||
\(41\) | 3.15767 | − | 5.46925i | 0.493145 | − | 0.854153i | −0.506823 | − | 0.862050i | \(-0.669180\pi\) |
0.999969 | + | 0.00789701i | \(0.00251372\pi\) | |||||||
\(42\) | 2.35059 | + | 4.07134i | 0.362704 | + | 0.628221i | ||||
\(43\) | −2.26961 | + | 3.93108i | −0.346113 | + | 0.599485i | −0.985555 | − | 0.169354i | \(-0.945832\pi\) |
0.639443 | + | 0.768839i | \(0.279165\pi\) | |||||||
\(44\) | 2.21763 | + | 3.84104i | 0.334320 | + | 0.579059i | ||||
\(45\) | −1.65497 | −0.246708 | ||||||||
\(46\) | 1.56475 | 0.230709 | ||||||||
\(47\) | −4.47718 | − | 7.75471i | −0.653064 | − | 1.13114i | −0.982375 | − | 0.186919i | \(-0.940150\pi\) |
0.329311 | − | 0.944221i | \(-0.393184\pi\) | |||||||
\(48\) | −2.86890 | − | 4.96909i | −0.414090 | − | 0.717226i | ||||
\(49\) | −1.06953 | −0.152791 | ||||||||
\(50\) | −1.66454 | −0.235402 | ||||||||
\(51\) | −3.47002 | − | 6.01025i | −0.485900 | − | 0.841604i | ||||
\(52\) | 0.614645 | − | 1.06460i | 0.0852359 | − | 0.147633i | ||||
\(53\) | 1.09819 | + | 1.90213i | 0.150848 | + | 0.261277i | 0.931540 | − | 0.363640i | \(-0.118466\pi\) |
−0.780691 | + | 0.624917i | \(0.785133\pi\) | |||||||
\(54\) | 4.49313 | − | 7.78232i | 0.611437 | − | 1.05904i | ||||
\(55\) | 2.87738 | − | 4.98377i | 0.387986 | − | 0.672012i | ||||
\(56\) | −4.98304 | −0.665887 | ||||||||
\(57\) | 4.46205 | + | 2.37608i | 0.591013 | + | 0.314719i | ||||
\(58\) | −4.35834 | −0.572278 | ||||||||
\(59\) | 5.39939 | − | 9.35202i | 0.702941 | − | 1.21753i | −0.264489 | − | 0.964389i | \(-0.585203\pi\) |
0.967430 | − | 0.253140i | \(-0.0814634\pi\) | |||||||
\(60\) | 0.446918 | − | 0.774084i | 0.0576968 | − | 0.0999338i | ||||
\(61\) | 5.26434 | + | 9.11811i | 0.674030 | + | 1.16745i | 0.976751 | + | 0.214375i | \(0.0687716\pi\) |
−0.302721 | + | 0.953079i | \(0.597895\pi\) | |||||||
\(62\) | −4.38535 | + | 7.59566i | −0.556941 | + | 0.964649i | ||||
\(63\) | −2.01513 | − | 3.49031i | −0.253883 | − | 0.439738i | ||||
\(64\) | 2.99898 | 0.374873 | ||||||||
\(65\) | −1.59501 | −0.197837 | ||||||||
\(66\) | 5.55469 | + | 9.62100i | 0.683735 | + | 1.18426i | ||||
\(67\) | −0.504789 | − | 0.874320i | −0.0616698 | − | 0.106815i | 0.833542 | − | 0.552456i | \(-0.186309\pi\) |
−0.895212 | + | 0.445641i | \(0.852976\pi\) | |||||||
\(68\) | −4.61197 | −0.559284 | ||||||||
\(69\) | 1.09022 | 0.131247 | ||||||||
\(70\) | −2.02680 | − | 3.51051i | −0.242248 | − | 0.419587i | ||||
\(71\) | −4.41694 | + | 7.65036i | −0.524194 | + | 0.907931i | 0.475409 | + | 0.879765i | \(0.342300\pi\) |
−0.999603 | + | 0.0281662i | \(0.991033\pi\) | |||||||
\(72\) | 1.69320 | + | 2.93271i | 0.199546 | + | 0.345624i | ||||
\(73\) | 5.12499 | − | 8.87674i | 0.599835 | − | 1.03894i | −0.393011 | − | 0.919534i | \(-0.628566\pi\) |
0.992845 | − | 0.119410i | \(-0.0381003\pi\) | |||||||
\(74\) | −2.40846 | + | 4.17157i | −0.279978 | + | 0.484936i | ||||
\(75\) | −1.15976 | −0.133917 | ||||||||
\(76\) | 2.85008 | − | 1.77846i | 0.326927 | − | 0.204004i | ||||
\(77\) | 14.0143 | 1.59708 | ||||||||
\(78\) | 1.53956 | − | 2.66659i | 0.174320 | − | 0.301932i | ||||
\(79\) | −3.80229 | + | 6.58577i | −0.427792 | + | 0.740957i | −0.996677 | − | 0.0814604i | \(-0.974042\pi\) |
0.568885 | + | 0.822417i | \(0.307375\pi\) | |||||||
\(80\) | 2.47371 | + | 4.28460i | 0.276570 | + | 0.479032i | ||||
\(81\) | 0.648093 | − | 1.12253i | 0.0720103 | − | 0.124726i | ||||
\(82\) | −5.25609 | − | 9.10381i | −0.580438 | − | 1.00535i | ||||
\(83\) | 3.11355 | 0.341756 | 0.170878 | − | 0.985292i | \(-0.445340\pi\) | ||||
0.170878 | + | 0.985292i | \(0.445340\pi\) | |||||||
\(84\) | 2.17672 | 0.237499 | ||||||||
\(85\) | 2.99203 | + | 5.18234i | 0.324531 | + | 0.562104i | ||||
\(86\) | 3.77787 | + | 6.54346i | 0.407378 | + | 0.705600i | ||||
\(87\) | −3.03663 | −0.325561 | ||||||||
\(88\) | −11.7755 | −1.25527 | ||||||||
\(89\) | 5.55706 | + | 9.62511i | 0.589047 | + | 1.02026i | 0.994358 | + | 0.106081i | \(0.0338302\pi\) |
−0.405310 | + | 0.914179i | \(0.632837\pi\) | |||||||
\(90\) | −1.37738 | + | 2.38570i | −0.145189 | + | 0.251475i | ||||
\(91\) | −1.94213 | − | 3.36387i | −0.203590 | − | 0.352629i | ||||
\(92\) | 0.362251 | − | 0.627436i | 0.0377672 | − | 0.0654148i | ||||
\(93\) | −3.05545 | + | 5.29220i | −0.316836 | + | 0.548776i | ||||
\(94\) | −14.9049 | −1.53733 | ||||||||
\(95\) | −3.84741 | − | 2.04877i | −0.394735 | − | 0.210200i | ||||
\(96\) | −4.80463 | −0.490371 | ||||||||
\(97\) | −2.02888 | + | 3.51412i | −0.206002 | + | 0.356805i | −0.950451 | − | 0.310873i | \(-0.899379\pi\) |
0.744450 | + | 0.667678i | \(0.232712\pi\) | |||||||
\(98\) | −0.890144 | + | 1.54177i | −0.0899181 | + | 0.155743i | ||||
\(99\) | −4.76197 | − | 8.24798i | −0.478596 | − | 0.828953i | ||||
\(100\) | −0.385355 | + | 0.667454i | −0.0385355 | + | 0.0667454i | ||||
\(101\) | 5.56503 | + | 9.63892i | 0.553741 | + | 0.959108i | 0.998000 | + | 0.0632098i | \(0.0201337\pi\) |
−0.444259 | + | 0.895898i | \(0.646533\pi\) | |||||||
\(102\) | −11.5520 | −1.14382 | ||||||||
\(103\) | 11.5791 | 1.14092 | 0.570460 | − | 0.821326i | \(-0.306765\pi\) | ||||
0.570460 | + | 0.821326i | \(0.306765\pi\) | |||||||
\(104\) | 1.63186 | + | 2.82647i | 0.160017 | + | 0.277158i | ||||
\(105\) | −1.41215 | − | 2.44592i | −0.137812 | − | 0.238697i | ||||
\(106\) | 3.65598 | 0.355101 | ||||||||
\(107\) | 17.9177 | 1.73217 | 0.866086 | − | 0.499894i | \(-0.166628\pi\) | ||||
0.866086 | + | 0.499894i | \(0.166628\pi\) | |||||||
\(108\) | −2.08039 | − | 3.60333i | −0.200185 | − | 0.346731i | ||||
\(109\) | −2.81235 | + | 4.87113i | −0.269374 | + | 0.466570i | −0.968700 | − | 0.248233i | \(-0.920150\pi\) |
0.699326 | + | 0.714803i | \(0.253484\pi\) | |||||||
\(110\) | −4.78953 | − | 8.29572i | −0.456664 | − | 0.790965i | ||||
\(111\) | −1.67807 | + | 2.90650i | −0.159275 | + | 0.275873i | ||||
\(112\) | −6.02412 | + | 10.4341i | −0.569226 | + | 0.985928i | ||||
\(113\) | −15.6789 | −1.47494 | −0.737472 | − | 0.675378i | \(-0.763981\pi\) | ||||
−0.737472 | + | 0.675378i | \(0.763981\pi\) | |||||||
\(114\) | 7.13885 | − | 4.45467i | 0.668614 | − | 0.417218i | ||||
\(115\) | −0.940044 | −0.0876595 | ||||||||
\(116\) | −1.00899 | + | 1.74762i | −0.0936822 | + | 0.162262i | ||||
\(117\) | −1.31984 | + | 2.28604i | −0.122020 | + | 0.211344i | ||||
\(118\) | −8.98753 | − | 15.5669i | −0.827369 | − | 1.43304i | ||||
\(119\) | −7.28635 | + | 12.6203i | −0.667939 | + | 1.15690i | ||||
\(120\) | 1.18655 | + | 2.05517i | 0.108317 | + | 0.187610i | ||||
\(121\) | 22.1173 | 2.01067 | ||||||||
\(122\) | 17.5255 | 1.58668 | ||||||||
\(123\) | −3.66213 | − | 6.34299i | −0.330203 | − | 0.571928i | ||||
\(124\) | 2.03049 | + | 3.51691i | 0.182343 | + | 0.315827i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −6.70856 | −0.597646 | ||||||||
\(127\) | −3.05996 | − | 5.30000i | −0.271527 | − | 0.470299i | 0.697726 | − | 0.716365i | \(-0.254195\pi\) |
−0.969253 | + | 0.246066i | \(0.920862\pi\) | |||||||
\(128\) | 6.63877 | − | 11.4987i | 0.586790 | − | 1.01635i | ||||
\(129\) | 2.63220 | + | 4.55910i | 0.231752 | + | 0.401406i | ||||
\(130\) | −1.32748 | + | 2.29927i | −0.116428 | + | 0.201659i | ||||
\(131\) | 7.44055 | − | 12.8874i | 0.650084 | − | 1.12598i | −0.333018 | − | 0.942920i | \(-0.608067\pi\) |
0.983102 | − | 0.183058i | \(-0.0585997\pi\) | |||||||
\(132\) | 5.14381 | 0.447711 | ||||||||
\(133\) | −0.363857 | − | 10.6088i | −0.0315504 | − | 0.919899i | ||||
\(134\) | −1.68049 | −0.145172 | ||||||||
\(135\) | −2.69931 | + | 4.67535i | −0.232320 | + | 0.402390i | ||||
\(136\) | 6.12231 | − | 10.6042i | 0.524984 | − | 0.909299i | ||||
\(137\) | −8.67518 | − | 15.0258i | −0.741170 | − | 1.28374i | −0.951963 | − | 0.306214i | \(-0.900938\pi\) |
0.210793 | − | 0.977531i | \(-0.432396\pi\) | |||||||
\(138\) | 0.907361 | − | 1.57160i | 0.0772397 | − | 0.133783i | ||||
\(139\) | 3.35267 | + | 5.80700i | 0.284370 | + | 0.492543i | 0.972456 | − | 0.233086i | \(-0.0748823\pi\) |
−0.688086 | + | 0.725629i | \(0.741549\pi\) | |||||||
\(140\) | −1.87687 | −0.158625 | ||||||||
\(141\) | −10.3849 | −0.874564 | ||||||||
\(142\) | 7.35219 | + | 12.7344i | 0.616982 | + | 1.06864i | ||||
\(143\) | −4.58946 | − | 7.94917i | −0.383790 | − | 0.664743i | ||||
\(144\) | 8.18782 | 0.682319 | ||||||||
\(145\) | 2.61834 | 0.217441 | ||||||||
\(146\) | −8.53077 | − | 14.7757i | −0.706012 | − | 1.22285i | ||||
\(147\) | −0.620199 | + | 1.07422i | −0.0511532 | + | 0.0885999i | ||||
\(148\) | 1.11515 | + | 1.93150i | 0.0916651 | + | 0.158769i | ||||
\(149\) | −7.19642 | + | 12.4646i | −0.589553 | + | 1.02114i | 0.404737 | + | 0.914433i | \(0.367363\pi\) |
−0.994291 | + | 0.106704i | \(0.965970\pi\) | |||||||
\(150\) | −0.965233 | + | 1.67183i | −0.0788109 | + | 0.136505i | ||||
\(151\) | 12.7219 | 1.03529 | 0.517645 | − | 0.855595i | \(-0.326809\pi\) | ||||
0.517645 | + | 0.855595i | \(0.326809\pi\) | |||||||
\(152\) | 0.305729 | + | 8.91398i | 0.0247979 | + | 0.723019i | ||||
\(153\) | 9.90341 | 0.800644 | ||||||||
\(154\) | 11.6637 | − | 20.2022i | 0.939890 | − | 1.62794i | ||||
\(155\) | 2.63457 | − | 4.56320i | 0.211614 | − | 0.366525i | ||||
\(156\) | −0.712838 | − | 1.23467i | −0.0570727 | − | 0.0988529i | ||||
\(157\) | 1.68765 | − | 2.92309i | 0.134689 | − | 0.233288i | −0.790790 | − | 0.612088i | \(-0.790330\pi\) |
0.925479 | + | 0.378800i | \(0.123663\pi\) | |||||||
\(158\) | 6.32909 | + | 10.9623i | 0.503515 | + | 0.872114i | ||||
\(159\) | 2.54727 | 0.202012 | ||||||||
\(160\) | 4.14280 | 0.327517 | ||||||||
\(161\) | −1.14462 | − | 1.98255i | −0.0902089 | − | 0.156246i | ||||
\(162\) | −1.07878 | − | 1.86850i | −0.0847569 | − | 0.146803i | ||||
\(163\) | 0.307960 | 0.0241213 | 0.0120607 | − | 0.999927i | \(-0.496161\pi\) | ||||
0.0120607 | + | 0.999927i | \(0.496161\pi\) | |||||||
\(164\) | −4.86730 | −0.380072 | ||||||||
\(165\) | −3.33706 | − | 5.77996i | −0.259790 | − | 0.449969i | ||||
\(166\) | 2.59132 | − | 4.48830i | 0.201125 | − | 0.348359i | ||||
\(167\) | −7.13215 | − | 12.3532i | −0.551902 | − | 0.955923i | −0.998137 | − | 0.0610070i | \(-0.980569\pi\) |
0.446235 | − | 0.894916i | \(-0.352765\pi\) | |||||||
\(168\) | −2.88955 | + | 5.00486i | −0.222934 | + | 0.386133i | ||||
\(169\) | 5.22797 | − | 9.05511i | 0.402152 | − | 0.696547i | ||||
\(170\) | 9.96073 | 0.763953 | ||||||||
\(171\) | −6.12005 | + | 3.81894i | −0.468012 | + | 0.292042i | ||||
\(172\) | 3.49842 | 0.266752 | ||||||||
\(173\) | −6.67357 | + | 11.5590i | −0.507382 | + | 0.878811i | 0.492581 | + | 0.870266i | \(0.336053\pi\) |
−0.999963 | + | 0.00854514i | \(0.997280\pi\) | |||||||
\(174\) | −2.52730 | + | 4.37742i | −0.191594 | + | 0.331851i | ||||
\(175\) | 1.21763 | + | 2.10899i | 0.0920440 | + | 0.159425i | ||||
\(176\) | −14.2356 | + | 24.6569i | −1.07305 | + | 1.85858i | ||||
\(177\) | −6.26197 | − | 10.8461i | −0.470679 | − | 0.815239i | ||||
\(178\) | 18.5000 | 1.38663 | ||||||||
\(179\) | −14.2207 | −1.06291 | −0.531454 | − | 0.847087i | \(-0.678354\pi\) | ||||
−0.531454 | + | 0.847087i | \(0.678354\pi\) | |||||||
\(180\) | 0.637749 | + | 1.10461i | 0.0475350 | + | 0.0823331i | ||||
\(181\) | −4.94132 | − | 8.55861i | −0.367285 | − | 0.636157i | 0.621855 | − | 0.783133i | \(-0.286379\pi\) |
−0.989140 | + | 0.146976i | \(0.953046\pi\) | |||||||
\(182\) | −6.46552 | −0.479256 | ||||||||
\(183\) | 12.2107 | 0.902641 | ||||||||
\(184\) | 0.961763 | + | 1.66582i | 0.0709021 | + | 0.122806i | ||||
\(185\) | 1.44692 | − | 2.50613i | 0.106379 | − | 0.184255i | ||||
\(186\) | 5.08594 | + | 8.80911i | 0.372919 | + | 0.645915i | ||||
\(187\) | −17.2184 | + | 29.8232i | −1.25914 | + | 2.18089i | ||||
\(188\) | −3.45061 | + | 5.97663i | −0.251661 | + | 0.435891i | ||||
\(189\) | −13.1470 | −0.956305 | ||||||||
\(190\) | −6.15548 | + | 3.84104i | −0.446565 | + | 0.278659i | ||||
\(191\) | −12.9942 | −0.940228 | −0.470114 | − | 0.882606i | \(-0.655787\pi\) | ||||
−0.470114 | + | 0.882606i | \(0.655787\pi\) | |||||||
\(192\) | 1.73904 | − | 3.01211i | 0.125505 | − | 0.217380i | ||||
\(193\) | −7.25795 | + | 12.5711i | −0.522439 | + | 0.904890i | 0.477221 | + | 0.878784i | \(0.341644\pi\) |
−0.999659 | + | 0.0261066i | \(0.991689\pi\) | |||||||
\(194\) | 3.37716 | + | 5.84942i | 0.242466 | + | 0.419964i | ||||
\(195\) | −0.924911 | + | 1.60199i | −0.0662343 | + | 0.114721i | ||||
\(196\) | 0.412150 | + | 0.713865i | 0.0294393 | + | 0.0509904i | ||||
\(197\) | −25.0010 | −1.78125 | −0.890624 | − | 0.454740i | \(-0.849732\pi\) | ||||
−0.890624 | + | 0.454740i | \(0.849732\pi\) | |||||||
\(198\) | −15.8530 | −1.12663 | ||||||||
\(199\) | 1.12769 | + | 1.95322i | 0.0799401 | + | 0.138460i | 0.903224 | − | 0.429170i | \(-0.141194\pi\) |
−0.823284 | + | 0.567630i | \(0.807860\pi\) | |||||||
\(200\) | −1.02310 | − | 1.77207i | −0.0723444 | − | 0.125304i | ||||
\(201\) | −1.17086 | −0.0825864 | ||||||||
\(202\) | 18.5265 | 1.30352 | ||||||||
\(203\) | 3.18816 | + | 5.52205i | 0.223765 | + | 0.387572i | ||||
\(204\) | −2.67438 | + | 4.63216i | −0.187244 | + | 0.324316i | ||||
\(205\) | 3.15767 | + | 5.46925i | 0.220541 | + | 0.381989i | ||||
\(206\) | 9.63694 | − | 16.6917i | 0.671437 | − | 1.16296i | ||||
\(207\) | −0.777871 | + | 1.34731i | −0.0540657 | + | 0.0936446i | ||||
\(208\) | 7.89120 | 0.547156 | ||||||||
\(209\) | −0.859833 | − | 25.0697i | −0.0594759 | − | 1.73411i | ||||
\(210\) | −4.70118 | −0.324412 | ||||||||
\(211\) | −11.1081 | + | 19.2397i | −0.764710 | + | 1.32452i | 0.175689 | + | 0.984446i | \(0.443785\pi\) |
−0.940400 | + | 0.340071i | \(0.889549\pi\) | |||||||
\(212\) | 0.846388 | − | 1.46599i | 0.0581302 | − | 0.100684i | ||||
\(213\) | 5.12257 | + | 8.87255i | 0.350993 | + | 0.607937i | ||||
\(214\) | 14.9124 | − | 25.8291i | 1.01939 | − | 1.76564i | ||||
\(215\) | −2.26961 | − | 3.93108i | −0.154786 | − | 0.268098i | ||||
\(216\) | 11.0467 | 0.751634 | ||||||||
\(217\) | 12.8317 | 0.871071 | ||||||||
\(218\) | 4.68128 | + | 8.10822i | 0.317057 | + | 0.549158i | ||||
\(219\) | −5.94373 | − | 10.2949i | −0.401640 | − | 0.695662i | ||||
\(220\) | −4.43525 | −0.299025 | ||||||||
\(221\) | 9.54463 | 0.642041 | ||||||||
\(222\) | 2.79322 | + | 4.83801i | 0.187469 | + | 0.324706i | ||||
\(223\) | −5.10799 | + | 8.84730i | −0.342056 | + | 0.592459i | −0.984814 | − | 0.173610i | \(-0.944457\pi\) |
0.642758 | + | 0.766069i | \(0.277790\pi\) | |||||||
\(224\) | 5.04438 | + | 8.73712i | 0.337042 | + | 0.583774i | ||||
\(225\) | 0.827483 | − | 1.43324i | 0.0551656 | − | 0.0955495i | ||||
\(226\) | −13.0491 | + | 22.6017i | −0.868012 | + | 1.50344i | ||||
\(227\) | 4.15180 | 0.275565 | 0.137782 | − | 0.990463i | \(-0.456003\pi\) | ||||
0.137782 | + | 0.990463i | \(0.456003\pi\) | |||||||
\(228\) | −0.133550 | − | 3.89385i | −0.00884456 | − | 0.257876i | ||||
\(229\) | 6.53286 | 0.431703 | 0.215852 | − | 0.976426i | \(-0.430747\pi\) | ||||
0.215852 | + | 0.976426i | \(0.430747\pi\) | |||||||
\(230\) | −0.782373 | + | 1.35511i | −0.0515881 | + | 0.0893533i | ||||
\(231\) | 8.12660 | − | 14.0757i | 0.534691 | − | 0.926111i | ||||
\(232\) | −2.67883 | − | 4.63987i | −0.175874 | − | 0.304623i | ||||
\(233\) | −2.57410 | + | 4.45848i | −0.168635 | + | 0.292084i | −0.937940 | − | 0.346797i | \(-0.887269\pi\) |
0.769305 | + | 0.638882i | \(0.220603\pi\) | |||||||
\(234\) | 2.19694 | + | 3.80521i | 0.143618 | + | 0.248755i | ||||
\(235\) | 8.95437 | 0.584118 | ||||||||
\(236\) | −8.32272 | −0.541763 | ||||||||
\(237\) | 4.40973 | + | 7.63788i | 0.286443 | + | 0.496134i | ||||
\(238\) | 12.1285 | + | 21.0071i | 0.786171 | + | 1.36169i | ||||
\(239\) | 13.9962 | 0.905338 | 0.452669 | − | 0.891679i | \(-0.350472\pi\) | ||||
0.452669 | + | 0.891679i | \(0.350472\pi\) | |||||||
\(240\) | 5.73781 | 0.370374 | ||||||||
\(241\) | −7.61285 | − | 13.1858i | −0.490387 | − | 0.849375i | 0.509552 | − | 0.860440i | \(-0.329811\pi\) |
−0.999939 | + | 0.0110652i | \(0.996478\pi\) | |||||||
\(242\) | 18.4076 | − | 31.8830i | 1.18329 | − | 2.04952i | ||||
\(243\) | 7.34631 | + | 12.7242i | 0.471266 | + | 0.816256i | ||||
\(244\) | 4.05728 | − | 7.02742i | 0.259741 | − | 0.449884i | ||||
\(245\) | 0.534767 | − | 0.926244i | 0.0341650 | − | 0.0591756i | ||||
\(246\) | −12.1916 | −0.777305 | ||||||||
\(247\) | −5.89834 | + | 3.68059i | −0.375302 | + | 0.234190i | ||||
\(248\) | −10.7817 | −0.684642 | ||||||||
\(249\) | 1.80548 | − | 3.12718i | 0.114417 | − | 0.198177i | ||||
\(250\) | 0.832272 | − | 1.44154i | 0.0526375 | − | 0.0911709i | ||||
\(251\) | 3.05630 | + | 5.29366i | 0.192912 | + | 0.334133i | 0.946214 | − | 0.323542i | \(-0.104874\pi\) |
−0.753302 | + | 0.657674i | \(0.771540\pi\) | |||||||
\(252\) | −1.55308 | + | 2.69002i | −0.0978350 | + | 0.169455i | ||||
\(253\) | −2.70487 | − | 4.68497i | −0.170053 | − | 0.294541i | ||||
\(254\) | −10.1869 | −0.639181 | ||||||||
\(255\) | 6.94004 | 0.434602 | ||||||||
\(256\) | −8.05154 | − | 13.9457i | −0.503221 | − | 0.871605i | ||||
\(257\) | −0.0613414 | − | 0.106246i | −0.00382637 | − | 0.00662747i | 0.864106 | − | 0.503310i | \(-0.167885\pi\) |
−0.867932 | + | 0.496683i | \(0.834551\pi\) | |||||||
\(258\) | 8.76281 | 0.545549 | ||||||||
\(259\) | 7.04723 | 0.437893 | ||||||||
\(260\) | 0.614645 | + | 1.06460i | 0.0381187 | + | 0.0660235i | ||||
\(261\) | 2.16663 | − | 3.75271i | 0.134111 | − | 0.232287i | ||||
\(262\) | −12.3851 | − | 21.4517i | −0.765156 | − | 1.32529i | ||||
\(263\) | 5.03027 | − | 8.71267i | 0.310179 | − | 0.537247i | −0.668222 | − | 0.743962i | \(-0.732944\pi\) |
0.978401 | + | 0.206716i | \(0.0662775\pi\) | |||||||
\(264\) | −6.82832 | + | 11.8270i | −0.420254 | + | 0.727902i | ||||
\(265\) | −2.19639 | −0.134923 | ||||||||
\(266\) | −15.5958 | − | 8.30489i | −0.956240 | − | 0.509206i | ||||
\(267\) | 12.8897 | 0.788835 | ||||||||
\(268\) | −0.389046 | + | 0.673847i | −0.0237648 | + | 0.0411618i | ||||
\(269\) | −2.85614 | + | 4.94698i | −0.174142 | + | 0.301623i | −0.939864 | − | 0.341549i | \(-0.889049\pi\) |
0.765722 | + | 0.643172i | \(0.222382\pi\) | |||||||
\(270\) | 4.49313 | + | 7.78232i | 0.273443 | + | 0.473617i | ||||
\(271\) | 6.35560 | − | 11.0082i | 0.386075 | − | 0.668702i | −0.605843 | − | 0.795585i | \(-0.707164\pi\) |
0.991918 | + | 0.126883i | \(0.0404972\pi\) | |||||||
\(272\) | −14.8028 | − | 25.6393i | −0.897554 | − | 1.55461i | ||||
\(273\) | −4.50479 | −0.272642 | ||||||||
\(274\) | −28.8804 | −1.74473 | ||||||||
\(275\) | 2.87738 | + | 4.98377i | 0.173513 | + | 0.300533i | ||||
\(276\) | −0.420122 | − | 0.727673i | −0.0252884 | − | 0.0438008i | ||||
\(277\) | 17.6019 | 1.05760 | 0.528799 | − | 0.848747i | \(-0.322642\pi\) | ||||
0.528799 | + | 0.848747i | \(0.322642\pi\) | |||||||
\(278\) | 11.1613 | 0.669413 | ||||||||
\(279\) | −4.36012 | − | 7.55195i | −0.261034 | − | 0.452123i | ||||
\(280\) | 2.49152 | − | 4.31544i | 0.148897 | − | 0.257897i | ||||
\(281\) | 10.2502 | + | 17.7539i | 0.611476 | + | 1.05911i | 0.990992 | + | 0.133922i | \(0.0427571\pi\) |
−0.379516 | + | 0.925185i | \(0.623910\pi\) | |||||||
\(282\) | −8.64305 | + | 14.9702i | −0.514686 | + | 0.891462i | ||||
\(283\) | 5.92805 | − | 10.2677i | 0.352386 | − | 0.610350i | −0.634281 | − | 0.773103i | \(-0.718704\pi\) |
0.986667 | + | 0.162752i | \(0.0520371\pi\) | |||||||
\(284\) | 6.80836 | 0.404002 | ||||||||
\(285\) | −4.28877 | + | 2.67621i | −0.254045 | + | 0.158525i | ||||
\(286\) | −15.2787 | −0.903449 | ||||||||
\(287\) | −7.68973 | + | 13.3190i | −0.453911 | + | 0.786196i | ||||
\(288\) | 3.42809 | − | 5.93763i | 0.202002 | − | 0.349878i | ||||
\(289\) | −9.40447 | − | 16.2890i | −0.553204 | − | 0.958177i | ||||
\(290\) | 2.17917 | − | 3.77443i | 0.127965 | − | 0.221642i | ||||
\(291\) | 2.35301 | + | 4.07552i | 0.137936 | + | 0.238911i | ||||
\(292\) | −7.89976 | −0.462298 | ||||||||
\(293\) | −24.9814 | −1.45943 | −0.729715 | − | 0.683751i | \(-0.760347\pi\) | ||||
−0.729715 | + | 0.683751i | \(0.760347\pi\) | |||||||
\(294\) | 1.03235 | + | 1.78808i | 0.0602079 | + | 0.104283i | ||||
\(295\) | 5.39939 | + | 9.35202i | 0.314365 | + | 0.544495i | ||||
\(296\) | −5.92139 | −0.344174 | ||||||||
\(297\) | −31.0678 | −1.80274 | ||||||||
\(298\) | 11.9788 | + | 20.7478i | 0.693911 | + | 1.20189i | ||||
\(299\) | −0.749690 | + | 1.29850i | −0.0433557 | + | 0.0750943i | ||||
\(300\) | 0.446918 | + | 0.774084i | 0.0258028 | + | 0.0446918i | ||||
\(301\) | 5.52708 | − | 9.57319i | 0.318576 | − | 0.551789i | ||||
\(302\) | 10.5881 | − | 18.3391i | 0.609274 | − | 1.05529i | ||||
\(303\) | 12.9082 | 0.741554 | ||||||||
\(304\) | 19.0348 | + | 10.1362i | 1.09172 | + | 0.581348i | ||||
\(305\) | −10.5287 | −0.602871 | ||||||||
\(306\) | 8.24234 | − | 14.2761i | 0.471183 | − | 0.816113i | ||||
\(307\) | −8.45997 | + | 14.6531i | −0.482836 | + | 0.836296i | −0.999806 | − | 0.0197074i | \(-0.993727\pi\) |
0.516970 | + | 0.856003i | \(0.327060\pi\) | |||||||
\(308\) | −5.40049 | − | 9.35392i | −0.307721 | − | 0.532989i | ||||
\(309\) | 6.71444 | − | 11.6298i | 0.381971 | − | 0.661594i | ||||
\(310\) | −4.38535 | − | 7.59566i | −0.249071 | − | 0.431404i | ||||
\(311\) | −15.2133 | −0.862670 | −0.431335 | − | 0.902192i | \(-0.641957\pi\) | ||||
−0.431335 | + | 0.902192i | \(0.641957\pi\) | |||||||
\(312\) | 3.78512 | 0.214290 | ||||||||
\(313\) | −12.4637 | − | 21.5877i | −0.704488 | − | 1.22021i | −0.966876 | − | 0.255246i | \(-0.917844\pi\) |
0.262389 | − | 0.964962i | \(-0.415490\pi\) | |||||||
\(314\) | −2.80917 | − | 4.86562i | −0.158531 | − | 0.274583i | ||||
\(315\) | 4.03027 | 0.227080 | ||||||||
\(316\) | 5.86093 | 0.329703 | ||||||||
\(317\) | 12.6152 | + | 21.8502i | 0.708541 | + | 1.22723i | 0.965398 | + | 0.260780i | \(0.0839798\pi\) |
−0.256857 | + | 0.966449i | \(0.582687\pi\) | |||||||
\(318\) | 2.12002 | − | 3.67199i | 0.118885 | − | 0.205915i | ||||
\(319\) | 7.53396 | + | 13.0492i | 0.421821 | + | 0.730615i | ||||
\(320\) | −1.49949 | + | 2.59720i | −0.0838241 | + | 0.145188i | ||||
\(321\) | 10.3901 | − | 17.9962i | 0.579919 | − | 1.00445i | ||||
\(322\) | −3.81055 | −0.212354 | ||||||||
\(323\) | 23.0231 | + | 12.2600i | 1.28104 | + | 0.682163i | ||||
\(324\) | −0.998983 | −0.0554991 | ||||||||
\(325\) | 0.797505 | − | 1.38132i | 0.0442376 | − | 0.0766218i | ||||
\(326\) | 0.256307 | − | 0.443937i | 0.0141955 | − | 0.0245874i | ||||
\(327\) | 3.26164 | + | 5.64933i | 0.180369 | + | 0.312408i | ||||
\(328\) | 6.46125 | − | 11.1912i | 0.356763 | − | 0.617932i | ||||
\(329\) | 10.9031 | + | 18.8847i | 0.601106 | + | 1.04115i | ||||
\(330\) | −11.1094 | −0.611551 | ||||||||
\(331\) | −20.2063 | −1.11064 | −0.555320 | − | 0.831637i | \(-0.687404\pi\) | ||||
−0.555320 | + | 0.831637i | \(0.687404\pi\) | |||||||
\(332\) | −1.19982 | − | 2.07815i | −0.0658487 | − | 0.114053i | ||||
\(333\) | −2.39460 | − | 4.14757i | −0.131223 | − | 0.227285i | ||||
\(334\) | −23.7436 | −1.29919 | ||||||||
\(335\) | 1.00958 | 0.0551592 | ||||||||
\(336\) | 6.98651 | + | 12.1010i | 0.381145 | + | 0.660163i | ||||
\(337\) | 15.9123 | − | 27.5610i | 0.866800 | − | 1.50134i | 0.00155051 | − | 0.999999i | \(-0.499506\pi\) |
0.865249 | − | 0.501342i | \(-0.167160\pi\) | |||||||
\(338\) | −8.70219 | − | 15.0726i | −0.473337 | − | 0.819843i | ||||
\(339\) | −9.09183 | + | 15.7475i | −0.493800 | + | 0.855287i | ||||
\(340\) | 2.30599 | − | 3.99408i | 0.125060 | − | 0.216610i | ||||
\(341\) | 30.3226 | 1.64206 | ||||||||
\(342\) | 0.411596 | + | 12.0007i | 0.0222566 | + | 0.648923i | ||||
\(343\) | 19.6514 | 1.06107 | ||||||||
\(344\) | −4.64410 | + | 8.04382i | −0.250393 | + | 0.433693i | ||||
\(345\) | −0.545111 | + | 0.944159i | −0.0293478 | + | 0.0508318i | ||||
\(346\) | 11.1085 | + | 19.2404i | 0.597194 | + | 1.03437i | ||||
\(347\) | 1.65128 | − | 2.86009i | 0.0886451 | − | 0.153538i | −0.818294 | − | 0.574801i | \(-0.805080\pi\) |
0.906939 | + | 0.421263i | \(0.138413\pi\) | |||||||
\(348\) | 1.17018 | + | 2.02681i | 0.0627283 | + | 0.108649i | ||||
\(349\) | 17.8486 | 0.955416 | 0.477708 | − | 0.878519i | \(-0.341468\pi\) | ||||
0.477708 | + | 0.878519i | \(0.341468\pi\) | |||||||
\(350\) | 4.05359 | 0.216674 | ||||||||
\(351\) | 4.30543 | + | 7.45723i | 0.229807 | + | 0.398037i | ||||
\(352\) | 11.9204 | + | 20.6468i | 0.635360 | + | 1.10048i | ||||
\(353\) | −8.29523 | −0.441511 | −0.220755 | − | 0.975329i | \(-0.570852\pi\) | ||||
−0.220755 | + | 0.975329i | \(0.570852\pi\) | |||||||
\(354\) | −20.8467 | −1.10799 | ||||||||
\(355\) | −4.41694 | − | 7.65036i | −0.234427 | − | 0.406039i | ||||
\(356\) | 4.28288 | − | 7.41817i | 0.226992 | − | 0.393162i | ||||
\(357\) | 8.45039 | + | 14.6365i | 0.447242 | + | 0.774646i | ||||
\(358\) | −11.8355 | + | 20.4997i | −0.625527 | + | 1.08344i | ||||
\(359\) | −4.17511 | + | 7.23150i | −0.220354 | + | 0.381664i | −0.954915 | − | 0.296878i | \(-0.904055\pi\) |
0.734562 | + | 0.678542i | \(0.237388\pi\) | |||||||
\(360\) | −3.38641 | −0.178479 | ||||||||
\(361\) | −18.9554 | + | 1.30178i | −0.997650 | + | 0.0685148i | ||||
\(362\) | −16.4501 | −0.864598 | ||||||||
\(363\) | 12.8254 | − | 22.2142i | 0.673156 | − | 1.16594i | ||||
\(364\) | −1.49682 | + | 2.59256i | −0.0784545 | + | 0.135887i | ||||
\(365\) | 5.12499 | + | 8.87674i | 0.268254 | + | 0.464630i | ||||
\(366\) | 10.1626 | − | 17.6022i | 0.531209 | − | 0.920082i | ||||
\(367\) | −7.20988 | − | 12.4879i | −0.376353 | − | 0.651862i | 0.614176 | − | 0.789169i | \(-0.289489\pi\) |
−0.990528 | + | 0.137307i | \(0.956155\pi\) | |||||||
\(368\) | 4.65080 | 0.242440 | ||||||||
\(369\) | 10.4517 | 0.544093 | ||||||||
\(370\) | −2.40846 | − | 4.17157i | −0.125210 | − | 0.216870i | ||||
\(371\) | −2.67438 | − | 4.63216i | −0.138847 | − | 0.240490i | ||||
\(372\) | 4.70974 | 0.244188 | ||||||||
\(373\) | −24.1157 | −1.24866 | −0.624332 | − | 0.781159i | \(-0.714629\pi\) | ||||
−0.624332 | + | 0.781159i | \(0.714629\pi\) | |||||||
\(374\) | 28.6608 | + | 49.6420i | 1.48202 | + | 2.56693i | ||||
\(375\) | 0.579878 | − | 1.00438i | 0.0299448 | − | 0.0518659i | ||||
\(376\) | −9.16125 | − | 15.8678i | −0.472455 | − | 0.818317i | ||||
\(377\) | 2.08814 | − | 3.61676i | 0.107545 | − | 0.186273i | ||||
\(378\) | −10.9419 | + | 18.9519i | −0.562791 | + | 0.974783i | ||||
\(379\) | 16.6757 | 0.856571 | 0.428285 | − | 0.903644i | \(-0.359118\pi\) | ||||
0.428285 | + | 0.903644i | \(0.359118\pi\) | |||||||
\(380\) | 0.115154 | + | 3.35747i | 0.00590725 | + | 0.172235i | ||||
\(381\) | −7.09760 | −0.363621 | ||||||||
\(382\) | −10.8147 | + | 18.7316i | −0.553329 | + | 0.958395i | ||||
\(383\) | 5.43895 | − | 9.42053i | 0.277917 | − | 0.481367i | −0.692950 | − | 0.720986i | \(-0.743689\pi\) |
0.970867 | + | 0.239619i | \(0.0770226\pi\) | |||||||
\(384\) | −7.69935 | − | 13.3357i | −0.392906 | − | 0.680533i | ||||
\(385\) | −7.00716 | + | 12.1368i | −0.357118 | + | 0.618546i | ||||
\(386\) | 12.0812 | + | 20.9252i | 0.614916 | + | 1.06507i | ||||
\(387\) | −7.51226 | −0.381870 | ||||||||
\(388\) | 3.12736 | 0.158767 | ||||||||
\(389\) | −18.2272 | − | 31.5704i | −0.924154 | − | 1.60068i | −0.792917 | − | 0.609330i | \(-0.791438\pi\) |
−0.131237 | − | 0.991351i | \(-0.541895\pi\) | |||||||
\(390\) | 1.53956 | + | 2.66659i | 0.0779585 | + | 0.135028i | ||||
\(391\) | 5.62528 | 0.284482 | ||||||||
\(392\) | −2.18849 | −0.110535 | ||||||||
\(393\) | −8.62922 | − | 14.9463i | −0.435287 | − | 0.753939i | ||||
\(394\) | −20.8077 | + | 36.0399i | −1.04827 | + | 1.81566i | ||||
\(395\) | −3.80229 | − | 6.58577i | −0.191314 | − | 0.331366i | ||||
\(396\) | −3.67010 | + | 6.35680i | −0.184429 | + | 0.319441i | ||||
\(397\) | −4.29191 | + | 7.43380i | −0.215405 | + | 0.373092i | −0.953398 | − | 0.301717i | \(-0.902440\pi\) |
0.737993 | + | 0.674808i | \(0.235774\pi\) | |||||||
\(398\) | 3.75419 | 0.188181 | ||||||||
\(399\) | −10.8662 | − | 5.78635i | −0.543992 | − | 0.289680i | ||||
\(400\) | −4.94743 | −0.247371 | ||||||||
\(401\) | 8.52785 | − | 14.7707i | 0.425860 | − | 0.737612i | −0.570640 | − | 0.821200i | \(-0.693305\pi\) |
0.996500 | + | 0.0835885i | \(0.0266381\pi\) | |||||||
\(402\) | −0.974478 | + | 1.68785i | −0.0486026 | + | 0.0841821i | ||||
\(403\) | −4.20216 | − | 7.27836i | −0.209325 | − | 0.362561i | ||||
\(404\) | 4.28903 | − | 7.42881i | 0.213387 | − | 0.369597i | ||||
\(405\) | 0.648093 | + | 1.12253i | 0.0322040 | + | 0.0557790i | ||||
\(406\) | 10.6137 | 0.526747 | ||||||||
\(407\) | 16.6533 | 0.825476 | ||||||||
\(408\) | −7.10039 | − | 12.2982i | −0.351522 | − | 0.608853i | ||||
\(409\) | 5.89702 | + | 10.2139i | 0.291589 | + | 0.505047i | 0.974186 | − | 0.225749i | \(-0.0724828\pi\) |
−0.682597 | + | 0.730795i | \(0.739149\pi\) | |||||||
\(410\) | 10.5122 | 0.519159 | ||||||||
\(411\) | −20.1222 | −0.992553 | ||||||||
\(412\) | −4.46205 | − | 7.72850i | −0.219829 | − | 0.380756i | ||||
\(413\) | −13.1489 | + | 22.7745i | −0.647015 | + | 1.12066i | ||||
\(414\) | 1.29480 | + | 2.24266i | 0.0636360 | + | 0.110221i | ||||
\(415\) | −1.55677 | + | 2.69641i | −0.0764190 | + | 0.132362i | ||||
\(416\) | 3.30390 | − | 5.72252i | 0.161987 | − | 0.280570i | ||||
\(417\) | 7.77656 | 0.380820 | ||||||||
\(418\) | −36.8546 | − | 19.6253i | −1.80261 | − | 0.959907i | ||||
\(419\) | 1.14280 | 0.0558292 | 0.0279146 | − | 0.999610i | \(-0.491113\pi\) | ||||
0.0279146 | + | 0.999610i | \(0.491113\pi\) | |||||||
\(420\) | −1.08836 | + | 1.88509i | −0.0531064 | + | 0.0919830i | ||||
\(421\) | −9.75944 | + | 16.9039i | −0.475646 | + | 0.823843i | −0.999611 | − | 0.0278967i | \(-0.991119\pi\) |
0.523965 | + | 0.851740i | \(0.324452\pi\) | |||||||
\(422\) | 18.4899 | + | 32.0254i | 0.900072 | + | 1.55897i | ||||
\(423\) | 7.40959 | − | 12.8338i | 0.360266 | − | 0.624000i | ||||
\(424\) | 2.24713 | + | 3.89215i | 0.109130 | + | 0.189019i | ||||
\(425\) | −5.98406 | −0.290269 | ||||||||
\(426\) | 17.0535 | 0.826245 | ||||||||
\(427\) | −12.8200 | − | 22.2049i | −0.620404 | − | 1.07457i | ||||
\(428\) | −6.90469 | − | 11.9593i | −0.333751 | − | 0.578073i | ||||
\(429\) | −10.6453 | −0.513960 | ||||||||
\(430\) | −7.55574 | −0.364370 | ||||||||
\(431\) | 18.4392 | + | 31.9377i | 0.888187 | + | 1.53838i | 0.842017 | + | 0.539451i | \(0.181368\pi\) |
0.0461694 | + | 0.998934i | \(0.485299\pi\) | |||||||
\(432\) | 13.3546 | − | 23.1309i | 0.642526 | − | 1.11289i | ||||
\(433\) | −0.184467 | − | 0.319506i | −0.00886490 | − | 0.0153545i | 0.861559 | − | 0.507658i | \(-0.169488\pi\) |
−0.870424 | + | 0.492303i | \(0.836155\pi\) | |||||||
\(434\) | 10.6795 | − | 18.4974i | 0.512630 | − | 0.887902i | ||||
\(435\) | 1.51832 | − | 2.62980i | 0.0727976 | − | 0.126089i | ||||
\(436\) | 4.33501 | 0.207609 | ||||||||
\(437\) | −3.47628 | + | 2.16921i | −0.166293 | + | 0.103767i | ||||
\(438\) | −19.7872 | −0.945470 | ||||||||
\(439\) | 1.13220 | − | 1.96102i | 0.0540367 | − | 0.0935944i | −0.837742 | − | 0.546067i | \(-0.816125\pi\) |
0.891778 | + | 0.452472i | \(0.149458\pi\) | |||||||
\(440\) | 5.88773 | − | 10.1978i | 0.280686 | − | 0.486163i | ||||
\(441\) | −0.885022 | − | 1.53290i | −0.0421439 | − | 0.0729954i | ||||
\(442\) | 7.94373 | − | 13.7590i | 0.377845 | − | 0.654447i | ||||
\(443\) | 8.23137 | + | 14.2572i | 0.391084 | + | 0.677378i | 0.992593 | − | 0.121488i | \(-0.0387667\pi\) |
−0.601508 | + | 0.798866i | \(0.705433\pi\) | |||||||
\(444\) | 2.58661 | 0.122755 | ||||||||
\(445\) | −11.1141 | −0.526860 | ||||||||
\(446\) | 8.50248 | + | 14.7267i | 0.402604 | + | 0.697331i | ||||
\(447\) | 8.34609 | + | 14.4558i | 0.394756 | + | 0.683738i | ||||
\(448\) | −7.30329 | −0.345048 | ||||||||
\(449\) | 14.1613 | 0.668315 | 0.334158 | − | 0.942517i | \(-0.391548\pi\) | ||||
0.334158 | + | 0.942517i | \(0.391548\pi\) | |||||||
\(450\) | −1.37738 | − | 2.38570i | −0.0649305 | − | 0.112463i | ||||
\(451\) | −18.1717 | + | 31.4742i | −0.855670 | + | 1.48206i | ||||
\(452\) | 6.04193 | + | 10.4649i | 0.284188 | + | 0.492229i | ||||
\(453\) | 7.37713 | − | 12.7776i | 0.346608 | − | 0.600342i | ||||
\(454\) | 3.45543 | − | 5.98498i | 0.162171 | − | 0.280889i | ||||
\(455\) | 3.88426 | 0.182097 | ||||||||
\(456\) | 9.13029 | + | 4.86195i | 0.427565 | + | 0.227682i | ||||
\(457\) | 1.22073 | 0.0571033 | 0.0285516 | − | 0.999592i | \(-0.490910\pi\) | ||||
0.0285516 | + | 0.999592i | \(0.490910\pi\) | |||||||
\(458\) | 5.43712 | − | 9.41736i | 0.254060 | − | 0.440045i | ||||
\(459\) | 16.1528 | − | 27.9775i | 0.753950 | − | 1.30588i | ||||
\(460\) | 0.362251 | + | 0.627436i | 0.0168900 | + | 0.0292544i | ||||
\(461\) | 4.34580 | − | 7.52714i | 0.202404 | − | 0.350574i | −0.746898 | − | 0.664938i | \(-0.768458\pi\) |
0.949303 | + | 0.314364i | \(0.101791\pi\) | |||||||
\(462\) | −13.5271 | − | 23.4296i | −0.629337 | − | 1.09004i | ||||
\(463\) | −19.7149 | −0.916229 | −0.458114 | − | 0.888893i | \(-0.651475\pi\) | ||||
−0.458114 | + | 0.888893i | \(0.651475\pi\) | |||||||
\(464\) | −12.9540 | −0.601375 | ||||||||
\(465\) | −3.05545 | − | 5.29220i | −0.141693 | − | 0.245420i | ||||
\(466\) | 4.28471 | + | 7.42133i | 0.198485 | + | 0.343787i | ||||
\(467\) | −11.4795 | −0.531207 | −0.265604 | − | 0.964082i | \(-0.585571\pi\) | ||||
−0.265604 | + | 0.964082i | \(0.585571\pi\) | |||||||
\(468\) | 2.03443 | 0.0940418 | ||||||||
\(469\) | 1.22929 | + | 2.12919i | 0.0567633 | + | 0.0983170i | ||||
\(470\) | 7.45247 | − | 12.9081i | 0.343757 | − | 0.595404i | ||||
\(471\) | −1.95726 | − | 3.39008i | −0.0901858 | − | 0.156206i | ||||
\(472\) | 11.0483 | − | 19.1362i | 0.508538 | − | 0.880814i | ||||
\(473\) | 13.0611 | − | 22.6225i | 0.600549 | − | 1.04018i | ||||
\(474\) | 14.6804 | 0.674293 | ||||||||
\(475\) | 3.69799 | − | 2.30756i | 0.169676 | − | 0.105878i | ||||
\(476\) | 11.2313 | 0.514787 | ||||||||
\(477\) | −1.81747 | + | 3.14796i | −0.0832164 | + | 0.144135i | ||||
\(478\) | 11.6486 | − | 20.1760i | 0.532796 | − | 0.922830i | ||||
\(479\) | −19.6316 | − | 34.0029i | −0.896989 | − | 1.55363i | −0.831324 | − | 0.555789i | \(-0.812416\pi\) |
−0.0656652 | − | 0.997842i | \(-0.520917\pi\) | |||||||
\(480\) | 2.40232 | − | 4.16093i | 0.109650 | − | 0.189920i | ||||
\(481\) | −2.30785 | − | 3.99731i | −0.105229 | − | 0.182262i | ||||
\(482\) | −25.3439 | −1.15438 | ||||||||
\(483\) | −2.65497 | −0.120805 | ||||||||
\(484\) | −8.52302 | − | 14.7623i | −0.387410 | − | 0.671014i | ||||
\(485\) | −2.02888 | − | 3.51412i | −0.0921267 | − | 0.159568i | ||||
\(486\) | 24.4565 | 1.10937 | ||||||||
\(487\) | 31.5943 | 1.43168 | 0.715838 | − | 0.698266i | \(-0.246045\pi\) | ||||
0.715838 | + | 0.698266i | \(0.246045\pi\) | |||||||
\(488\) | 10.7719 | + | 18.6576i | 0.487623 | + | 0.844588i | ||||
\(489\) | 0.178579 | − | 0.309309i | 0.00807564 | − | 0.0139874i | ||||
\(490\) | −0.890144 | − | 1.54177i | −0.0402126 | − | 0.0696503i | ||||
\(491\) | 5.53187 | − | 9.58148i | 0.249650 | − | 0.432406i | −0.713779 | − | 0.700371i | \(-0.753018\pi\) |
0.963429 | + | 0.267965i | \(0.0863511\pi\) | |||||||
\(492\) | −2.82244 | + | 4.88861i | −0.127245 | + | 0.220395i | ||||
\(493\) | −15.6683 | −0.705663 | ||||||||
\(494\) | 0.396685 | + | 11.5659i | 0.0178477 | + | 0.520376i | ||||
\(495\) | 9.52395 | 0.428070 | ||||||||
\(496\) | −13.0343 | + | 22.5761i | −0.585258 | + | 1.01370i | ||||
\(497\) | 10.7564 | − | 18.6306i | 0.482489 | − | 0.835696i | ||||
\(498\) | −3.00530 | − | 5.20533i | −0.134671 | − | 0.233256i | ||||
\(499\) | 10.1868 | − | 17.6440i | 0.456023 | − | 0.789854i | −0.542724 | − | 0.839911i | \(-0.682607\pi\) |
0.998746 | + | 0.0500570i | \(0.0159403\pi\) | |||||||
\(500\) | −0.385355 | − | 0.667454i | −0.0172336 | − | 0.0298495i | ||||
\(501\) | −16.5431 | −0.739091 | ||||||||
\(502\) | 10.1747 | 0.454118 | ||||||||
\(503\) | 6.83622 | + | 11.8407i | 0.304812 | + | 0.527950i | 0.977219 | − | 0.212231i | \(-0.0680730\pi\) |
−0.672407 | + | 0.740181i | \(0.734740\pi\) | |||||||
\(504\) | −4.12338 | − | 7.14191i | −0.183670 | − | 0.318126i | ||||
\(505\) | −11.1301 | −0.495281 | ||||||||
\(506\) | −9.00474 | −0.400310 | ||||||||
\(507\) | −6.06317 | − | 10.5017i | −0.269275 | − | 0.466398i | ||||
\(508\) | −2.35834 | + | 4.08476i | −0.104634 | + | 0.181232i | ||||
\(509\) | 3.86196 | + | 6.68912i | 0.171179 | + | 0.296490i | 0.938832 | − | 0.344375i | \(-0.111909\pi\) |
−0.767654 | + | 0.640865i | \(0.778576\pi\) | |||||||
\(510\) | 5.77601 | − | 10.0043i | 0.255766 | − | 0.443000i | ||||
\(511\) | −12.4807 | + | 21.6171i | −0.552112 | + | 0.956285i | ||||
\(512\) | −0.249240 | −0.0110150 | ||||||||
\(513\) | 0.806621 | + | 23.5182i | 0.0356132 | + | 1.03836i | ||||
\(514\) | −0.204211 | −0.00900736 | ||||||||
\(515\) | −5.78953 | + | 10.0278i | −0.255117 | + | 0.441876i | ||||
\(516\) | 2.02866 | − | 3.51374i | 0.0893067 | − | 0.154684i | ||||
\(517\) | 25.7651 | + | 44.6265i | 1.13315 | + | 1.96267i | ||||
\(518\) | 5.86521 | − | 10.1588i | 0.257703 | − | 0.446354i | ||||
\(519\) | 7.73971 | + | 13.4056i | 0.339736 | + | 0.588439i | ||||
\(520\) | −3.26372 | −0.143124 | ||||||||
\(521\) | −2.16876 | −0.0950151 | −0.0475075 | − | 0.998871i | \(-0.515128\pi\) | ||||
−0.0475075 | + | 0.998871i | \(0.515128\pi\) | |||||||
\(522\) | −3.60645 | − | 6.24656i | −0.157850 | − | 0.273404i | ||||
\(523\) | 11.9466 | + | 20.6921i | 0.522389 | + | 0.904804i | 0.999661 | + | 0.0260485i | \(0.00829243\pi\) |
−0.477272 | + | 0.878756i | \(0.658374\pi\) | |||||||
\(524\) | −11.4690 | −0.501026 | ||||||||
\(525\) | 2.82430 | 0.123263 | ||||||||
\(526\) | −8.37310 | − | 14.5026i | −0.365085 | − | 0.632345i | ||||
\(527\) | −15.7654 | + | 27.3065i | −0.686751 | + | 1.18949i | ||||
\(528\) | 16.5099 | + | 28.5959i | 0.718500 | + | 1.24448i | ||||
\(529\) | 11.0582 | − | 19.1533i | 0.480790 | − | 0.832752i | ||||
\(530\) | −1.82799 | + | 3.16617i | −0.0794029 | + | 0.137530i | ||||
\(531\) | 17.8716 | 0.775562 | ||||||||
\(532\) | −6.94067 | + | 4.33101i | −0.300916 | + | 0.187773i | ||||
\(533\) | 10.0730 | 0.436312 | ||||||||
\(534\) | 10.7277 | − | 18.5809i | 0.464234 | − | 0.804076i | ||||
\(535\) | −8.95887 | + | 15.5172i | −0.387326 | + | 0.670868i | ||||
\(536\) | −1.03290 | − | 1.78904i | −0.0446147 | − | 0.0772749i | ||||
\(537\) | −8.24629 | + | 14.2830i | −0.355854 | + | 0.616356i | ||||
\(538\) | 4.75418 | + | 8.23448i | 0.204967 | + | 0.355013i | ||||
\(539\) | 6.15492 | 0.265111 | ||||||||
\(540\) | 4.16077 | 0.179051 | ||||||||
\(541\) | −21.2275 | − | 36.7671i | −0.912641 | − | 1.58074i | −0.810319 | − | 0.585990i | \(-0.800706\pi\) |
−0.102323 | − | 0.994751i | \(-0.532627\pi\) | |||||||
\(542\) | −10.5792 | − | 18.3237i | −0.454415 | − | 0.787069i | ||||
\(543\) | −11.4614 | −0.491858 | ||||||||
\(544\) | −24.7907 | −1.06289 | ||||||||
\(545\) | −2.81235 | − | 4.87113i | −0.120468 | − | 0.208656i | ||||
\(546\) | −3.74921 | + | 6.49383i | −0.160451 | + | 0.277910i | ||||
\(547\) | −6.01535 | − | 10.4189i | −0.257198 | − | 0.445480i | 0.708292 | − | 0.705919i | \(-0.249466\pi\) |
−0.965490 | + | 0.260439i | \(0.916133\pi\) | |||||||
\(548\) | −6.68604 | + | 11.5806i | −0.285614 | + | 0.494697i | ||||
\(549\) | −8.71231 | + | 15.0902i | −0.371833 | + | 0.644033i | ||||
\(550\) | 9.57907 | 0.408453 | ||||||||
\(551\) | 9.68259 | − | 6.04198i | 0.412492 | − | 0.257397i | ||||
\(552\) | 2.23082 | 0.0949500 | ||||||||
\(553\) | 9.25956 | − | 16.0380i | 0.393756 | − | 0.682006i | ||||
\(554\) | 14.6496 | − | 25.3739i | 0.622403 | − | 1.07803i | ||||
\(555\) | −1.67807 | − | 2.90650i | −0.0712301 | − | 0.123374i | ||||
\(556\) | 2.58394 | − | 4.47551i | 0.109583 | − | 0.189804i | ||||
\(557\) | 4.37635 | + | 7.58006i | 0.185432 | + | 0.321178i | 0.943722 | − | 0.330740i | \(-0.107298\pi\) |
−0.758290 | + | 0.651917i | \(0.773965\pi\) | |||||||
\(558\) | −14.5152 | −0.614479 | ||||||||
\(559\) | −7.24011 | −0.306224 | ||||||||
\(560\) | −6.02412 | − | 10.4341i | −0.254566 | − | 0.440921i | ||||
\(561\) | 19.9692 | + | 34.5876i | 0.843099 | + | 1.46029i | ||||
\(562\) | 34.1238 | 1.43943 | ||||||||
\(563\) | −35.9707 | −1.51598 | −0.757991 | − | 0.652265i | \(-0.773819\pi\) | ||||
−0.757991 | + | 0.652265i | \(0.773819\pi\) | |||||||
\(564\) | 4.00186 | + | 6.93143i | 0.168509 | + | 0.291866i | ||||
\(565\) | 7.83943 | − | 13.5783i | 0.329807 | − | 0.571243i | ||||
\(566\) | −9.86750 | − | 17.0910i | −0.414762 | − | 0.718389i | ||||
\(567\) | −1.57827 | + | 2.73365i | −0.0662812 | + | 0.114802i | ||||
\(568\) | −9.03798 | + | 15.6542i | −0.379225 | + | 0.656837i | ||||
\(569\) | −20.3125 | −0.851543 | −0.425772 | − | 0.904831i | \(-0.639997\pi\) | ||||
−0.425772 | + | 0.904831i | \(0.639997\pi\) | |||||||
\(570\) | 0.288435 | + | 8.40976i | 0.0120812 | + | 0.352246i | ||||
\(571\) | 10.1773 | 0.425906 | 0.212953 | − | 0.977062i | \(-0.431692\pi\) | ||||
0.212953 | + | 0.977062i | \(0.431692\pi\) | |||||||
\(572\) | −3.53714 | + | 6.12650i | −0.147895 | + | 0.256162i | ||||
\(573\) | −7.53505 | + | 13.0511i | −0.314781 | + | 0.545217i | ||||
\(574\) | 12.7999 | + | 22.1701i | 0.534258 | + | 0.925362i | ||||
\(575\) | 0.470022 | − | 0.814102i | 0.0196013 | − | 0.0339504i | ||||
\(576\) | 2.48161 | + | 4.29827i | 0.103400 | + | 0.179095i | ||||
\(577\) | −32.7441 | −1.36316 | −0.681578 | − | 0.731745i | \(-0.738706\pi\) | ||||
−0.681578 | + | 0.731745i | \(0.738706\pi\) | |||||||
\(578\) | −31.3083 | −1.30225 | ||||||||
\(579\) | 8.41745 | + | 14.5794i | 0.349817 | + | 0.605901i | ||||
\(580\) | −1.00899 | − | 1.74762i | −0.0418960 | − | 0.0725660i | ||||
\(581\) | −7.58228 | −0.314566 | ||||||||
\(582\) | 7.83337 | 0.324703 | ||||||||
\(583\) | −6.31984 | − | 10.9463i | −0.261741 | − | 0.453349i | ||||
\(584\) | 10.4868 | − | 18.1637i | 0.433947 | − | 0.751618i | ||||
\(585\) | −1.31984 | − | 2.28604i | −0.0545689 | − | 0.0945160i | ||||
\(586\) | −20.7913 | + | 36.0117i | −0.858883 | + | 1.48763i | ||||
\(587\) | −4.38663 | + | 7.59786i | −0.181056 | + | 0.313597i | −0.942240 | − | 0.334938i | \(-0.891285\pi\) |
0.761185 | + | 0.648535i | \(0.224618\pi\) | |||||||
\(588\) | 0.955987 | 0.0394243 | ||||||||
\(589\) | −0.787274 | − | 22.9541i | −0.0324390 | − | 0.945808i | ||||
\(590\) | 17.9751 | 0.740021 | ||||||||
\(591\) | −14.4975 | + | 25.1105i | −0.596349 | + | 1.03291i | ||||
\(592\) | −7.15852 | + | 12.3989i | −0.294213 | + | 0.509592i | ||||
\(593\) | 16.1603 | + | 27.9905i | 0.663625 | + | 1.14943i | 0.979656 | + | 0.200684i | \(0.0643163\pi\) |
−0.316031 | + | 0.948749i | \(0.602350\pi\) | |||||||
\(594\) | −25.8569 | + | 44.7855i | −1.06092 | + | 1.83757i | ||||
\(595\) | −7.28635 | − | 12.6203i | −0.298711 | − | 0.517383i | ||||
\(596\) | 11.0927 | 0.454375 | ||||||||
\(597\) | 2.61570 | 0.107053 | ||||||||
\(598\) | 1.24789 | + | 2.16141i | 0.0510301 | + | 0.0883868i | ||||
\(599\) | 9.77520 | + | 16.9311i | 0.399404 | + | 0.691787i | 0.993652 | − | 0.112494i | \(-0.0358839\pi\) |
−0.594249 | + | 0.804281i | \(0.702551\pi\) | |||||||
\(600\) | −2.37310 | −0.0968815 | ||||||||
\(601\) | −0.401837 | −0.0163913 | −0.00819564 | − | 0.999966i | \(-0.502609\pi\) | ||||
−0.00819564 | + | 0.999966i | \(0.502609\pi\) | |||||||
\(602\) | −9.20008 | − | 15.9350i | −0.374967 | − | 0.649462i | ||||
\(603\) | 0.835409 | − | 1.44697i | 0.0340205 | − | 0.0589252i | ||||
\(604\) | −4.90243 | − | 8.49126i | −0.199477 | − | 0.345505i | ||||
\(605\) | −11.0587 | + | 19.1542i | −0.449599 | + | 0.778728i | ||||
\(606\) | 10.7431 | − | 18.6076i | 0.436409 | − | 0.755882i | ||||
\(607\) | 13.4453 | 0.545727 | 0.272863 | − | 0.962053i | \(-0.412029\pi\) | ||||
0.272863 | + | 0.962053i | \(0.412029\pi\) | |||||||
\(608\) | 15.3200 | − | 9.55976i | 0.621309 | − | 0.387700i | ||||
\(609\) | 7.39497 | 0.299659 | ||||||||
\(610\) | −8.76274 | + | 15.1775i | −0.354793 | + | 0.614519i | ||||
\(611\) | 7.14115 | − | 12.3688i | 0.288900 | − | 0.500390i | ||||
\(612\) | −3.81633 | − | 6.61008i | −0.154266 | − | 0.267196i | ||||
\(613\) | 10.3527 | − | 17.9313i | 0.418140 | − | 0.724239i | −0.577613 | − | 0.816311i | \(-0.696016\pi\) |
0.995752 | + | 0.0920716i | \(0.0293489\pi\) | |||||||
\(614\) | 14.0820 | + | 24.3907i | 0.568303 | + | 0.984330i | ||||
\(615\) | 7.32425 | 0.295342 | ||||||||
\(616\) | 28.6762 | 1.15540 | ||||||||
\(617\) | 4.63936 | + | 8.03560i | 0.186773 | + | 0.323501i | 0.944173 | − | 0.329451i | \(-0.106864\pi\) |
−0.757399 | + | 0.652952i | \(0.773530\pi\) | |||||||
\(618\) | −11.1765 | − | 19.3583i | −0.449585 | − | 0.778703i | ||||
\(619\) | −2.89129 | −0.116211 | −0.0581053 | − | 0.998310i | \(-0.518506\pi\) | ||||
−0.0581053 | + | 0.998310i | \(0.518506\pi\) | |||||||
\(620\) | −4.06097 | −0.163093 | ||||||||
\(621\) | 2.53747 | + | 4.39503i | 0.101825 | + | 0.176366i | ||||
\(622\) | −12.6616 | + | 21.9306i | −0.507686 | + | 0.879338i | ||||
\(623\) | −13.5329 | − | 23.4396i | −0.542183 | − | 0.939088i | ||||
\(624\) | 4.57593 | − | 7.92574i | 0.183184 | − | 0.317284i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −41.4926 | −1.65838 | ||||||||
\(627\) | −25.6781 | − | 13.6738i | −1.02548 | − | 0.546078i | ||||
\(628\) | −2.60138 | −0.103806 | ||||||||
\(629\) | −8.65844 | + | 14.9969i | −0.345234 | + | 0.597964i | ||||
\(630\) | 3.35428 | − | 5.80978i | 0.133638 | − | 0.231467i | ||||
\(631\) | −15.2270 | − | 26.3740i | −0.606178 | − | 1.04993i | −0.991864 | − | 0.127301i | \(-0.959369\pi\) |
0.385686 | − | 0.922630i | \(-0.373965\pi\) | |||||||
\(632\) | −7.78029 | + | 13.4759i | −0.309483 | + | 0.536041i | ||||
\(633\) | 12.8826 | + | 22.3134i | 0.512039 | + | 0.886877i | ||||
\(634\) | 41.9972 | 1.66792 | ||||||||
\(635\) | 6.11991 | 0.242861 | ||||||||
\(636\) | −0.981604 | − | 1.70019i | −0.0389231 | − | 0.0674168i | ||||
\(637\) | −0.852959 | − | 1.47737i | −0.0337955 | − | 0.0585355i | ||||
\(638\) | 25.0812 | 0.992975 | ||||||||
\(639\) | −14.6198 | −0.578349 | ||||||||
\(640\) | 6.63877 | + | 11.4987i | 0.262420 | + | 0.454525i | ||||
\(641\) | 10.0369 | − | 17.3845i | 0.396434 | − | 0.686645i | −0.596849 | − | 0.802354i | \(-0.703581\pi\) |
0.993283 | + | 0.115709i | \(0.0369141\pi\) | |||||||
\(642\) | −17.2948 | − | 29.9554i | −0.682571 | − | 1.18225i | ||||
\(643\) | 1.04457 | − | 1.80924i | 0.0411937 | − | 0.0713496i | −0.844693 | − | 0.535250i | \(-0.820217\pi\) |
0.885887 | + | 0.463901i | \(0.153551\pi\) | |||||||
\(644\) | −0.882172 | + | 1.52797i | −0.0347625 | + | 0.0602103i | ||||
\(645\) | −5.26439 | −0.207285 | ||||||||
\(646\) | 36.8347 | − | 22.9850i | 1.44924 | − | 0.904334i | ||||
\(647\) | −2.10623 | −0.0828043 | −0.0414021 | − | 0.999143i | \(-0.513182\pi\) | ||||
−0.0414021 | + | 0.999143i | \(0.513182\pi\) | |||||||
\(648\) | 1.32613 | − | 2.29693i | 0.0520954 | − | 0.0902319i | ||||
\(649\) | −31.0722 | + | 53.8187i | −1.21969 | + | 2.11257i | ||||
\(650\) | −1.32748 | − | 2.29927i | −0.0520682 | − | 0.0901847i | ||||
\(651\) | 7.44081 | − | 12.8879i | 0.291628 | − | 0.505115i | ||||
\(652\) | −0.118674 | − | 0.205549i | −0.00464763 | − | 0.00804994i | ||||
\(653\) | 1.83067 | 0.0716395 | 0.0358197 | − | 0.999358i | \(-0.488596\pi\) | ||||
0.0358197 | + | 0.999358i | \(0.488596\pi\) | |||||||
\(654\) | 10.8583 | 0.424593 | ||||||||
\(655\) | 7.44055 | + | 12.8874i | 0.290726 | + | 0.503553i | ||||
\(656\) | −15.6223 | − | 27.0587i | −0.609950 | − | 1.05646i | ||||
\(657\) | 16.9634 | 0.661804 | ||||||||
\(658\) | 36.2973 | 1.41502 | ||||||||
\(659\) | −12.0268 | − | 20.8310i | −0.468497 | − | 0.811460i | 0.530855 | − | 0.847463i | \(-0.321871\pi\) |
−0.999352 | + | 0.0360024i | \(0.988538\pi\) | |||||||
\(660\) | −2.57191 | + | 4.45467i | −0.100111 | + | 0.173398i | ||||
\(661\) | 8.72110 | + | 15.1054i | 0.339211 | + | 0.587531i | 0.984285 | − | 0.176589i | \(-0.0565065\pi\) |
−0.645073 | + | 0.764121i | \(0.723173\pi\) | |||||||
\(662\) | −16.8172 | + | 29.1282i | −0.653617 | + | 1.13210i | ||||
\(663\) | 5.53472 | − | 9.58642i | 0.214951 | − | 0.372306i | ||||
\(664\) | 6.37097 | 0.247241 | ||||||||
\(665\) | 9.36941 | + | 4.98929i | 0.363330 | + | 0.193476i | ||||
\(666\) | −7.97184 | −0.308902 | ||||||||
\(667\) | 1.23068 | − | 2.13159i | 0.0476519 | − | 0.0825356i | ||||
\(668\) | −5.49682 | + | 9.52077i | −0.212678 | + | 0.368370i | ||||
\(669\) | 5.92402 | + | 10.2607i | 0.229036 | + | 0.396702i | ||||
\(670\) | 0.840244 | − | 1.45535i | 0.0324615 | − | 0.0562249i | ||||
\(671\) | −30.2951 | − | 52.4726i | −1.16953 | − | 2.02568i | ||||
\(672\) | 11.7005 | 0.451357 | ||||||||
\(673\) | 47.5187 | 1.83171 | 0.915856 | − | 0.401506i | \(-0.131513\pi\) | ||||
0.915856 | + | 0.401506i | \(0.131513\pi\) | |||||||
\(674\) | −26.4868 | − | 45.8765i | −1.02023 | − | 1.76709i | ||||
\(675\) | −2.69931 | − | 4.67535i | −0.103897 | − | 0.179954i | ||||
\(676\) | −8.05850 | −0.309942 | ||||||||
\(677\) | 14.5531 | 0.559321 | 0.279661 | − | 0.960099i | \(-0.409778\pi\) | ||||
0.279661 | + | 0.960099i | \(0.409778\pi\) | |||||||
\(678\) | 15.1338 | + | 26.2124i | 0.581208 | + | 1.00668i | ||||
\(679\) | 4.94084 | − | 8.55778i | 0.189612 | − | 0.328418i | ||||
\(680\) | 6.12231 | + | 10.6042i | 0.234780 | + | 0.406651i | ||||
\(681\) | 2.40754 | − | 4.16998i | 0.0922570 | − | 0.159794i | ||||
\(682\) | 25.2367 | − | 43.7112i | 0.966363 | − | 1.67379i | ||||
\(683\) | 3.33714 | 0.127692 | 0.0638460 | − | 0.997960i | \(-0.479663\pi\) | ||||
0.0638460 | + | 0.997960i | \(0.479663\pi\) | |||||||
\(684\) | 4.90736 | + | 2.61321i | 0.187638 | + | 0.0999185i | ||||
\(685\) | 17.3504 | 0.662923 | ||||||||
\(686\) | 16.3553 | − | 28.3282i | 0.624448 | − | 1.08158i | ||||
\(687\) | 3.78826 | − | 6.56146i | 0.144531 | − | 0.250335i | ||||
\(688\) | 11.2287 | + | 19.4487i | 0.428092 | + | 0.741476i | ||||
\(689\) | −1.75163 | + | 3.03391i | −0.0667318 | + | 0.115583i | ||||
\(690\) | 0.907361 | + | 1.57160i | 0.0345426 | + | 0.0598296i | ||||
\(691\) | −19.3318 | −0.735415 | −0.367708 | − | 0.929941i | \(-0.619857\pi\) | ||||
−0.367708 | + | 0.929941i | \(0.619857\pi\) | |||||||
\(692\) | 10.2868 | 0.391044 | ||||||||
\(693\) | 11.5966 | + | 20.0859i | 0.440519 | + | 0.763001i | ||||
\(694\) | −2.74862 | − | 4.76075i | −0.104336 | − | 0.180716i | ||||
\(695\) | −6.70534 | −0.254348 | ||||||||
\(696\) | −6.21358 | −0.235525 | ||||||||
\(697\) | −18.8957 | − | 32.7283i | −0.715725 | − | 1.23967i | ||||
\(698\) | 14.8549 | − | 25.7295i | 0.562268 | − | 0.973876i | ||||
\(699\) | 2.98533 | + | 5.17074i | 0.112916 | + | 0.195575i | ||||
\(700\) | 0.938437 | − | 1.62542i | 0.0354696 | − | 0.0614351i | ||||
\(701\) | −4.96892 | + | 8.60643i | −0.187674 | + | 0.325060i | −0.944474 | − | 0.328586i | \(-0.893428\pi\) |
0.756801 | + | 0.653646i | \(0.226761\pi\) | |||||||
\(702\) | 14.3332 | 0.540971 | ||||||||
\(703\) | −0.432375 | − | 12.6065i | −0.0163073 | − | 0.475464i | ||||
\(704\) | −17.2584 | −0.650452 | ||||||||
\(705\) | 5.19244 | − | 8.99357i | 0.195559 | − | 0.338717i | ||||
\(706\) | −6.90389 | + | 11.9579i | −0.259831 | + | 0.450041i | ||||
\(707\) | −13.5523 | − | 23.4732i | −0.509686 | − | 0.882801i | ||||
\(708\) | −4.82616 | + | 8.35916i | −0.181378 | + | 0.314157i | ||||
\(709\) | −18.6059 | − | 32.2264i | −0.698760 | − | 1.21029i | −0.968897 | − | 0.247466i | \(-0.920402\pi\) |
0.270136 | − | 0.962822i | \(-0.412931\pi\) | |||||||
\(710\) | −14.7044 | −0.551846 | ||||||||
\(711\) | −12.5853 | −0.471987 | ||||||||
\(712\) | 11.3709 | + | 19.6950i | 0.426143 | + | 0.738101i | ||||
\(713\) | −2.47661 | − | 4.28961i | −0.0927497 | − | 0.160647i | ||||
\(714\) | 28.1321 | 1.05282 | ||||||||
\(715\) | 9.17891 | 0.343272 | ||||||||
\(716\) | 5.48003 | + | 9.49169i | 0.204798 | + | 0.354721i | ||||
\(717\) | 8.11608 | − | 14.0575i | 0.303100 | − | 0.524985i | ||||
\(718\) | 6.94966 | + | 12.0372i | 0.259359 | + | 0.449223i | ||||
\(719\) | 1.32109 | − | 2.28819i | 0.0492683 | − | 0.0853351i | −0.840340 | − | 0.542060i | \(-0.817644\pi\) |
0.889608 | + | 0.456725i | \(0.150978\pi\) | |||||||
\(720\) | −4.09391 | + | 7.09086i | −0.152571 | + | 0.264261i | ||||
\(721\) | −28.1980 | −1.05015 | ||||||||
\(722\) | −13.8995 | + | 28.4083i | −0.517284 | + | 1.05725i | ||||
\(723\) | −17.6581 | −0.656711 | ||||||||
\(724\) | −3.80832 | + | 6.59621i | −0.141535 | + | 0.245146i | ||||
\(725\) | −1.30917 | + | 2.26755i | −0.0486213 | + | 0.0842145i | ||||
\(726\) | −21.3484 | − | 36.9765i | −0.792313 | − | 1.37233i | ||||
\(727\) | 5.08653 | − | 8.81013i | 0.188649 | − | 0.326750i | −0.756151 | − | 0.654397i | \(-0.772923\pi\) |
0.944800 | + | 0.327647i | \(0.106256\pi\) | |||||||
\(728\) | −3.97400 | − | 6.88317i | −0.147286 | − | 0.255107i | ||||
\(729\) | 20.9284 | 0.775126 | ||||||||
\(730\) | 17.0615 | 0.631476 | ||||||||
\(731\) | 13.5815 | + | 23.5238i | 0.502329 | + | 0.870060i | ||||
\(732\) | −4.70546 | − | 8.15009i | −0.173919 | − | 0.301236i | ||||
\(733\) | 14.8222 | 0.547472 | 0.273736 | − | 0.961805i | \(-0.411741\pi\) | ||||
0.273736 | + | 0.961805i | \(0.411741\pi\) | |||||||
\(734\) | −24.0023 | −0.885942 | ||||||||
\(735\) | −0.620199 | − | 1.07422i | −0.0228764 | − | 0.0396231i | ||||
\(736\) | 1.94720 | − | 3.37266i | 0.0717749 | − | 0.124318i | ||||
\(737\) | 2.90494 | + | 5.03151i | 0.107005 | + | 0.185338i | ||||
\(738\) | 8.69865 | − | 15.0665i | 0.320202 | − | 0.554605i | ||||
\(739\) | −17.7433 | + | 30.7323i | −0.652697 | + | 1.13050i | 0.329769 | + | 0.944062i | \(0.393029\pi\) |
−0.982466 | + | 0.186443i | \(0.940304\pi\) | |||||||
\(740\) | −2.23031 | −0.0819877 | ||||||||
\(741\) | 0.276386 | + | 8.05845i | 0.0101533 | + | 0.296035i | ||||
\(742\) | −8.90325 | −0.326849 | ||||||||
\(743\) | 4.36941 | − | 7.56804i | 0.160298 | − | 0.277645i | −0.774677 | − | 0.632357i | \(-0.782088\pi\) |
0.934976 | + | 0.354712i | \(0.115421\pi\) | |||||||
\(744\) | −6.25210 | + | 10.8289i | −0.229213 | + | 0.397009i | ||||
\(745\) | −7.19642 | − | 12.4646i | −0.263656 | − | 0.456666i | ||||
\(746\) | −20.0708 | + | 34.7637i | −0.734846 | + | 1.27279i | ||||
\(747\) | 2.57641 | + | 4.46247i | 0.0942658 | + | 0.163273i | ||||
\(748\) | 26.5408 | 0.970428 | ||||||||
\(749\) | −43.6342 | −1.59436 | ||||||||
\(750\) | −0.965233 | − | 1.67183i | −0.0352453 | − | 0.0610467i | ||||
\(751\) | −6.54957 | − | 11.3442i | −0.238997 | − | 0.413955i | 0.721430 | − | 0.692488i | \(-0.243485\pi\) |
−0.960427 | + | 0.278533i | \(0.910152\pi\) | |||||||
\(752\) | −44.3011 | −1.61549 | ||||||||
\(753\) | 7.08911 | 0.258342 | ||||||||
\(754\) | −3.47580 | − | 6.02026i | −0.126581 | − | 0.219245i | ||||
\(755\) | −6.36093 | + | 11.0175i | −0.231498 | + | 0.400966i | ||||
\(756\) | 5.06627 | + | 8.77504i | 0.184258 | + | 0.319145i | ||||
\(757\) | 8.21901 | − | 14.2357i | 0.298725 | − | 0.517407i | −0.677119 | − | 0.735873i | \(-0.736772\pi\) |
0.975845 | + | 0.218466i | \(0.0701053\pi\) | |||||||
\(758\) | 13.8787 | − | 24.0386i | 0.504097 | − | 0.873121i | ||||
\(759\) | −6.27397 | −0.227731 | ||||||||
\(760\) | −7.87259 | − | 4.19222i | −0.285569 | − | 0.152068i | ||||
\(761\) | 16.3918 | 0.594203 | 0.297101 | − | 0.954846i | \(-0.403980\pi\) | ||||
0.297101 | + | 0.954846i | \(0.403980\pi\) | |||||||
\(762\) | −5.90714 | + | 10.2315i | −0.213993 | + | 0.370647i | ||||
\(763\) | 6.84879 | − | 11.8625i | 0.247943 | − | 0.429450i | ||||
\(764\) | 5.00738 | + | 8.67304i | 0.181161 | + | 0.313780i | ||||
\(765\) | −4.95171 | + | 8.57661i | −0.179029 | + | 0.310088i | ||||
\(766\) | −9.05337 | − | 15.6809i | −0.327112 | − | 0.566574i | ||||
\(767\) | 17.2242 | 0.621929 | ||||||||
\(768\) | −18.6756 | −0.673899 | ||||||||
\(769\) | 25.0210 | + | 43.3377i | 0.902282 | + | 1.56280i | 0.824525 | + | 0.565825i | \(0.191442\pi\) |
0.0777564 | + | 0.996972i | \(0.475224\pi\) | |||||||
\(770\) | 11.6637 | + | 20.2022i | 0.420332 | + | 0.728036i | ||||
\(771\) | −0.142282 | −0.00512416 | ||||||||
\(772\) | 11.1875 | 0.402649 | ||||||||
\(773\) | −24.3436 | − | 42.1644i | −0.875580 | − | 1.51655i | −0.856144 | − | 0.516737i | \(-0.827146\pi\) |
−0.0194356 | − | 0.999811i | \(-0.506187\pi\) | |||||||
\(774\) | −6.25225 | + | 10.8292i | −0.224732 | + | 0.389248i |