Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.1 | ||
Root | \(0.0878222i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.a.487.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35253 | − | 2.34265i | −0.956385 | − | 1.65651i | −0.731167 | − | 0.682199i | \(-0.761024\pi\) |
−0.225218 | − | 0.974308i | \(-0.572309\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.65869 | + | 4.60498i | −1.32934 | + | 2.30249i | ||||
\(5\) | 0.836192 | − | 1.44833i | 0.373957 | − | 0.647712i | −0.616214 | − | 0.787579i | \(-0.711334\pi\) |
0.990170 | + | 0.139867i | \(0.0446676\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.250296 | − | 0.433525i | −0.0946028 | − | 0.163857i | 0.814840 | − | 0.579686i | \(-0.196825\pi\) |
−0.909443 | + | 0.415829i | \(0.863491\pi\) | |||||||
\(8\) | 8.97372 | 3.17269 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.52391 | −1.43059 | ||||||||
\(11\) | 0.958859 | + | 1.66079i | 0.289107 | + | 0.500748i | 0.973597 | − | 0.228275i | \(-0.0733084\pi\) |
−0.684490 | + | 0.729022i | \(0.739975\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.55622 | + | 2.69545i | −0.431617 | + | 0.747583i | −0.997013 | − | 0.0772371i | \(-0.975390\pi\) |
0.565396 | + | 0.824820i | \(0.308723\pi\) | |||||||
\(14\) | −0.677066 | + | 1.17271i | −0.180953 | + | 0.313421i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.81987 | − | 11.8124i | −1.70497 | − | 2.95309i | ||||
\(17\) | 2.66467 | 0.646278 | 0.323139 | − | 0.946352i | \(-0.395262\pi\) | ||||
0.323139 | + | 0.946352i | \(0.395262\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.79664 | 1.32984 | 0.664920 | − | 0.746915i | \(-0.268466\pi\) | ||||
0.664920 | + | 0.746915i | \(0.268466\pi\) | |||||||
\(20\) | 4.44635 | + | 7.70130i | 0.994234 | + | 1.72206i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.59378 | − | 4.49255i | 0.552995 | − | 0.957815i | ||||
\(23\) | 2.32293 | − | 4.02344i | 0.484365 | − | 0.838945i | −0.515473 | − | 0.856906i | \(-0.672384\pi\) |
0.999839 | + | 0.0179603i | \(0.00571725\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.10156 | + | 1.90797i | 0.220313 | + | 0.381593i | ||||
\(26\) | 8.41934 | 1.65117 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.66183 | 0.503039 | ||||||||
\(29\) | 1.30754 | + | 2.26472i | 0.242803 | + | 0.420547i | 0.961512 | − | 0.274764i | \(-0.0885997\pi\) |
−0.718709 | + | 0.695312i | \(0.755266\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.30730 | − | 3.99636i | 0.414404 | − | 0.717768i | −0.580962 | − | 0.813931i | \(-0.697324\pi\) |
0.995366 | + | 0.0961626i | \(0.0306569\pi\) | |||||||
\(32\) | −9.47446 | + | 16.4103i | −1.67486 | + | 2.90095i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.60406 | − | 6.24241i | −0.618090 | − | 1.07056i | ||||
\(35\) | −0.837181 | −0.141509 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.85867 | −0.798761 | −0.399381 | − | 0.916785i | \(-0.630775\pi\) | ||||
−0.399381 | + | 0.916785i | \(0.630775\pi\) | |||||||
\(38\) | −7.84014 | − | 13.5795i | −1.27184 | − | 2.20289i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.50375 | − | 12.9969i | 1.18645 | − | 2.05499i | ||||
\(41\) | 5.77408 | − | 10.0010i | 0.901760 | − | 1.56189i | 0.0765514 | − | 0.997066i | \(-0.475609\pi\) |
0.825208 | − | 0.564828i | \(-0.191058\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.50217 | + | 7.79798i | 0.686574 | + | 1.18918i | 0.972939 | + | 0.231061i | \(0.0742196\pi\) |
−0.286365 | + | 0.958121i | \(0.592447\pi\) | |||||||
\(44\) | −10.1972 | −1.53729 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −12.5674 | −1.85296 | ||||||||
\(47\) | −3.41612 | − | 5.91689i | −0.498292 | − | 0.863067i | 0.501706 | − | 0.865038i | \(-0.332706\pi\) |
−0.999998 | + | 0.00197091i | \(0.999373\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.37470 | − | 5.84516i | 0.482101 | − | 0.835023i | ||||
\(50\) | 2.97980 | − | 5.16117i | 0.421408 | − | 0.729900i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −8.27499 | − | 14.3327i | −1.14754 | − | 1.98759i | ||||
\(53\) | −5.43322 | −0.746309 | −0.373155 | − | 0.927769i | \(-0.621724\pi\) | ||||
−0.373155 | + | 0.927769i | \(0.621724\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.20716 | 0.432454 | ||||||||
\(56\) | −2.24608 | − | 3.89033i | −0.300145 | − | 0.519867i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.53697 | − | 6.12621i | 0.464427 | − | 0.804410i | ||||
\(59\) | 1.09566 | − | 1.89773i | 0.142642 | − | 0.247064i | −0.785849 | − | 0.618419i | \(-0.787773\pi\) |
0.928491 | + | 0.371355i | \(0.121107\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.42017 | − | 5.92391i | −0.437908 | − | 0.758478i | 0.559620 | − | 0.828749i | \(-0.310947\pi\) |
−0.997528 | + | 0.0702708i | \(0.977614\pi\) | |||||||
\(62\) | −12.4828 | −1.58532 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 23.9786 | 2.99733 | ||||||||
\(65\) | 2.60259 | + | 4.50783i | 0.322812 | + | 0.559127i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.24180 | + | 10.8111i | −0.762557 | + | 1.32079i | 0.178971 | + | 0.983854i | \(0.442723\pi\) |
−0.941529 | + | 0.336933i | \(0.890610\pi\) | |||||||
\(68\) | −7.08453 | + | 12.2708i | −0.859126 | + | 1.48805i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.13231 | + | 1.96123i | 0.135337 | + | 0.234411i | ||||
\(71\) | −2.83568 | −0.336534 | −0.168267 | − | 0.985741i | \(-0.553817\pi\) | ||||
−0.168267 | + | 0.985741i | \(0.553817\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.93497 | 1.16280 | 0.581400 | − | 0.813618i | \(-0.302505\pi\) | ||||
0.581400 | + | 0.813618i | \(0.302505\pi\) | |||||||
\(74\) | 6.57151 | + | 11.3822i | 0.763923 | + | 1.32315i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −15.4114 | + | 26.6934i | −1.76781 | + | 3.06194i | ||||
\(77\) | 0.479996 | − | 0.831378i | 0.0547007 | − | 0.0947443i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.65561 | − | 4.59964i | −0.298779 | − | 0.517500i | 0.677078 | − | 0.735911i | \(-0.263246\pi\) |
−0.975857 | + | 0.218411i | \(0.929913\pi\) | |||||||
\(80\) | −22.8109 | −2.55033 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −31.2385 | −3.44972 | ||||||||
\(83\) | 1.36408 | + | 2.36265i | 0.149727 | + | 0.259334i | 0.931126 | − | 0.364697i | \(-0.118827\pi\) |
−0.781400 | + | 0.624031i | \(0.785494\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.22818 | − | 3.85932i | 0.241680 | − | 0.418602i | ||||
\(86\) | 12.1787 | − | 21.0941i | 1.31326 | − | 2.27463i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.60453 | + | 14.9035i | 0.917246 | + | 1.58872i | ||||
\(89\) | 11.2189 | 1.18920 | 0.594600 | − | 0.804021i | \(-0.297310\pi\) | ||||
0.594600 | + | 0.804021i | \(0.297310\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.55806 | 0.163329 | ||||||||
\(92\) | 12.3519 | + | 21.3941i | 1.28778 | + | 2.23049i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −9.24082 | + | 16.0056i | −0.953118 | + | 1.65085i | ||||
\(95\) | 4.84710 | − | 8.39543i | 0.497302 | − | 0.861353i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.44457 | + | 5.96617i | 0.349743 | + | 0.605773i | 0.986204 | − | 0.165536i | \(-0.0529355\pi\) |
−0.636461 | + | 0.771309i | \(0.719602\pi\) | |||||||
\(98\) | −18.2576 | −1.84429 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −11.7149 | −1.17149 | ||||||||
\(101\) | −1.86482 | − | 3.22997i | −0.185557 | − | 0.321394i | 0.758207 | − | 0.652014i | \(-0.226076\pi\) |
−0.943764 | + | 0.330620i | \(0.892742\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.84040 | + | 6.65177i | −0.378406 | + | 0.655418i | −0.990830 | − | 0.135111i | \(-0.956861\pi\) |
0.612425 | + | 0.790529i | \(0.290194\pi\) | |||||||
\(104\) | −13.9651 | + | 24.1882i | −1.36939 | + | 2.37185i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.34860 | + | 12.7281i | 0.713759 | + | 1.23627i | ||||
\(107\) | −10.7658 | −1.04077 | −0.520383 | − | 0.853933i | \(-0.674211\pi\) | ||||
−0.520383 | + | 0.853933i | \(0.674211\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.2298 | 1.17141 | 0.585703 | − | 0.810526i | \(-0.300819\pi\) | ||||
0.585703 | + | 0.810526i | \(0.300819\pi\) | |||||||
\(110\) | −4.33779 | − | 7.51328i | −0.413592 | − | 0.716363i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.41396 | + | 5.91316i | −0.322589 | + | 0.558741i | ||||
\(113\) | 0.971975 | − | 1.68351i | 0.0914357 | − | 0.158371i | −0.816680 | − | 0.577091i | \(-0.804188\pi\) |
0.908115 | + | 0.418720i | \(0.137521\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.88484 | − | 6.72874i | −0.362263 | − | 0.627458i | ||||
\(116\) | −13.9053 | −1.29108 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.92764 | −0.545684 | ||||||||
\(119\) | −0.666956 | − | 1.15520i | −0.0611397 | − | 0.105897i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.66118 | − | 6.34135i | 0.332834 | − | 0.576486i | ||||
\(122\) | −9.25178 | + | 16.0245i | −0.837617 | + | 1.45079i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.2688 | + | 21.2502i | 1.10177 | + | 1.90832i | ||||
\(125\) | 12.0464 | 1.07746 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.34433 | 0.208026 | 0.104013 | − | 0.994576i | \(-0.466832\pi\) | ||||
0.104013 | + | 0.994576i | \(0.466832\pi\) | |||||||
\(128\) | −13.4829 | − | 23.3531i | −1.19173 | − | 2.06414i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.04019 | − | 12.1940i | 0.617465 | − | 1.06948i | ||||
\(131\) | 8.55119 | − | 14.8111i | 0.747121 | − | 1.29405i | −0.202076 | − | 0.979370i | \(-0.564769\pi\) |
0.949197 | − | 0.314682i | \(-0.101898\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.45087 | − | 2.51298i | −0.125807 | − | 0.217903i | ||||
\(134\) | 33.7689 | 2.91719 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 23.9120 | 2.05044 | ||||||||
\(137\) | −6.96358 | − | 12.0613i | −0.594939 | − | 1.03046i | −0.993556 | − | 0.113347i | \(-0.963843\pi\) |
0.398617 | − | 0.917118i | \(-0.369490\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.95832 | + | 6.85601i | −0.335740 | + | 0.581519i | −0.983627 | − | 0.180218i | \(-0.942320\pi\) |
0.647887 | + | 0.761737i | \(0.275653\pi\) | |||||||
\(140\) | 2.22580 | − | 3.85520i | 0.188115 | − | 0.325824i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.83536 | + | 6.64303i | 0.321856 | + | 0.557471i | ||||
\(143\) | −5.96877 | −0.499134 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.37340 | 0.363191 | ||||||||
\(146\) | −13.4374 | − | 23.2742i | −1.11208 | − | 1.92619i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 12.9177 | − | 22.3741i | 1.06183 | − | 1.83914i | ||||
\(149\) | −0.364067 | + | 0.630583i | −0.0298255 | + | 0.0516594i | −0.880553 | − | 0.473948i | \(-0.842829\pi\) |
0.850727 | + | 0.525607i | \(0.176162\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.17105 | − | 3.76036i | −0.176677 | − | 0.306014i | 0.764063 | − | 0.645141i | \(-0.223202\pi\) |
−0.940740 | + | 0.339128i | \(0.889868\pi\) | |||||||
\(152\) | 52.0174 | 4.21917 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.59684 | −0.209260 | ||||||||
\(155\) | −3.85870 | − | 6.68346i | −0.309938 | − | 0.536828i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.76163 | − | 13.4435i | 0.619446 | − | 1.07291i | −0.370141 | − | 0.928975i | \(-0.620691\pi\) |
0.989587 | − | 0.143936i | \(-0.0459759\pi\) | |||||||
\(158\) | −7.18359 | + | 12.4423i | −0.571495 | + | 0.989859i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 15.8449 | + | 27.4443i | 1.25265 | + | 2.16966i | ||||
\(161\) | −2.32568 | −0.183289 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.49738 | 0.665566 | 0.332783 | − | 0.943003i | \(-0.392012\pi\) | ||||
0.332783 | + | 0.943003i | \(0.392012\pi\) | |||||||
\(164\) | 30.7030 | + | 53.1791i | 2.39750 | + | 4.15259i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.68991 | − | 6.39111i | 0.286393 | − | 0.496047i | ||||
\(167\) | −11.5710 | + | 20.0415i | −0.895389 | + | 1.55086i | −0.0620658 | + | 0.998072i | \(0.519769\pi\) |
−0.833323 | + | 0.552787i | \(0.813564\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.65637 | + | 2.86892i | 0.127413 | + | 0.220686i | ||||
\(170\) | −12.0547 | −0.924556 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −47.8794 | −3.65077 | ||||||||
\(173\) | 1.28924 | + | 2.23303i | 0.0980190 | + | 0.169774i | 0.910865 | − | 0.412705i | \(-0.135416\pi\) |
−0.812846 | + | 0.582479i | \(0.802083\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.551433 | − | 0.955111i | 0.0416845 | − | 0.0721996i | ||||
\(176\) | 13.0786 | − | 22.6528i | 0.985835 | − | 1.70752i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.1739 | − | 26.2820i | −1.13733 | − | 1.96992i | ||||
\(179\) | −8.89613 | −0.664928 | −0.332464 | − | 0.943116i | \(-0.607880\pi\) | ||||
−0.332464 | + | 0.943116i | \(0.607880\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.91183 | 0.588082 | 0.294041 | − | 0.955793i | \(-0.405000\pi\) | ||||
0.294041 | + | 0.955793i | \(0.405000\pi\) | |||||||
\(182\) | −2.10732 | − | 3.64999i | −0.156205 | − | 0.270555i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 20.8454 | − | 36.1052i | 1.53674 | − | 2.66171i | ||||
\(185\) | −4.06279 | + | 7.03695i | −0.298702 | + | 0.517367i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.55504 | + | 4.42547i | 0.186843 | + | 0.323622i | ||||
\(188\) | 36.3296 | 2.64961 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −26.2235 | −1.90245 | ||||||||
\(191\) | 7.94867 | + | 13.7675i | 0.575146 | + | 0.996182i | 0.996026 | + | 0.0890656i | \(0.0283881\pi\) |
−0.420880 | + | 0.907116i | \(0.638279\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.29239 | − | 3.97054i | 0.165010 | − | 0.285805i | −0.771649 | − | 0.636049i | \(-0.780568\pi\) |
0.936659 | + | 0.350243i | \(0.113901\pi\) | |||||||
\(194\) | 9.31779 | − | 16.1389i | 0.668978 | − | 1.15870i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 17.9446 | + | 31.0809i | 1.28176 | + | 2.22006i | ||||
\(197\) | 2.99417 | 0.213326 | 0.106663 | − | 0.994295i | \(-0.465983\pi\) | ||||
0.106663 | + | 0.994295i | \(0.465983\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.8885 | 1.05542 | 0.527709 | − | 0.849425i | \(-0.323051\pi\) | ||||
0.527709 | + | 0.849425i | \(0.323051\pi\) | |||||||
\(200\) | 9.88513 | + | 17.1215i | 0.698984 | + | 1.21068i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −5.04447 | + | 8.73727i | −0.354928 | + | 0.614753i | ||||
\(203\) | 0.654541 | − | 1.13370i | 0.0459397 | − | 0.0795700i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.65648 | − | 16.7255i | −0.674438 | − | 1.16816i | ||||
\(206\) | 20.7771 | 1.44761 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 42.4528 | 2.94357 | ||||||||
\(209\) | 5.55816 | + | 9.62701i | 0.384466 | + | 0.665914i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.93948 | + | 12.0195i | −0.477733 | + | 0.827459i | −0.999674 | − | 0.0255232i | \(-0.991875\pi\) |
0.521941 | + | 0.852982i | \(0.325208\pi\) | |||||||
\(212\) | 14.4452 | − | 25.0199i | 0.992102 | − | 1.71837i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 14.5610 | + | 25.2205i | 0.995372 | + | 1.72403i | ||||
\(215\) | 15.0587 | 1.02700 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.31003 | −0.156815 | ||||||||
\(218\) | −16.5412 | − | 28.6503i | −1.12031 | − | 1.94044i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.52684 | + | 14.7689i | −0.574880 | + | 0.995721i | ||||
\(221\) | −4.14681 | + | 7.18248i | −0.278945 | + | 0.483146i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.40599 | + | 5.89935i | 0.228082 | + | 0.395050i | 0.957240 | − | 0.289296i | \(-0.0934213\pi\) |
−0.729158 | + | 0.684346i | \(0.760088\pi\) | |||||||
\(224\) | 9.48567 | 0.633788 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.25851 | −0.349791 | ||||||||
\(227\) | 4.87042 | + | 8.43582i | 0.323261 | + | 0.559905i | 0.981159 | − | 0.193202i | \(-0.0618874\pi\) |
−0.657898 | + | 0.753107i | \(0.728554\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.02242 | − | 12.1632i | 0.464055 | − | 0.803766i | −0.535104 | − | 0.844786i | \(-0.679727\pi\) |
0.999158 | + | 0.0410201i | \(0.0130608\pi\) | |||||||
\(230\) | −10.5087 | + | 18.2017i | −0.692926 | + | 1.20018i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.7334 | + | 20.3229i | 0.770339 | + | 1.33427i | ||||
\(233\) | 5.32333 | 0.348743 | 0.174372 | − | 0.984680i | \(-0.444211\pi\) | ||||
0.174372 | + | 0.984680i | \(0.444211\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.4261 | −0.745359 | ||||||||
\(236\) | 5.82602 | + | 10.0910i | 0.379241 | + | 0.656865i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.80416 | + | 3.12489i | −0.116946 | + | 0.202557i | ||||
\(239\) | −8.88675 | + | 15.3923i | −0.574836 | + | 0.995646i | 0.421223 | + | 0.906957i | \(0.361601\pi\) |
−0.996059 | + | 0.0886886i | \(0.971732\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.00340 | + | 1.73793i | 0.0646344 | + | 0.111950i | 0.896532 | − | 0.442979i | \(-0.146079\pi\) |
−0.831897 | + | 0.554930i | \(0.812745\pi\) | |||||||
\(242\) | −19.8075 | −1.27327 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 36.3726 | 2.32852 | ||||||||
\(245\) | −5.64380 | − | 9.77536i | −0.360569 | − | 0.624525i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.02083 | + | 15.6245i | −0.573981 | + | 0.994165i | ||||
\(248\) | 20.7051 | − | 35.8622i | 1.31477 | − | 2.27725i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −16.2932 | − | 28.2206i | −1.03047 | − | 1.78483i | ||||
\(251\) | 23.5643 | 1.48737 | 0.743683 | − | 0.668533i | \(-0.233077\pi\) | ||||
0.743683 | + | 0.668533i | \(0.233077\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.90947 | 0.560133 | ||||||||
\(254\) | −3.17079 | − | 5.49196i | −0.198953 | − | 0.344596i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.4936 | + | 21.6395i | −0.780848 | + | 1.35247i | ||||
\(257\) | −2.93728 | + | 5.08752i | −0.183223 | + | 0.317351i | −0.942976 | − | 0.332860i | \(-0.891986\pi\) |
0.759754 | + | 0.650211i | \(0.225320\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.21610 | + | 2.10635i | 0.0755651 | + | 0.130883i | ||||
\(260\) | −27.6779 | −1.71651 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −46.2631 | −2.85814 | ||||||||
\(263\) | −10.9891 | − | 19.0336i | −0.677615 | − | 1.17366i | −0.975697 | − | 0.219123i | \(-0.929680\pi\) |
0.298082 | − | 0.954540i | \(-0.403653\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.54321 | + | 7.86908i | −0.279087 | + | 0.483393i | ||||
\(266\) | −3.92470 | + | 6.79779i | −0.240639 | + | 0.416799i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −33.1900 | − | 57.4867i | −2.02740 | − | 3.51156i | ||||
\(269\) | −30.6026 | −1.86587 | −0.932937 | − | 0.360041i | \(-0.882763\pi\) | ||||
−0.932937 | + | 0.360041i | \(0.882763\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0823 | −0.976928 | −0.488464 | − | 0.872584i | \(-0.662443\pi\) | ||||
−0.488464 | + | 0.872584i | \(0.662443\pi\) | |||||||
\(272\) | −18.1727 | − | 31.4761i | −1.10188 | − | 1.90852i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.8369 | + | 32.6265i | −1.13798 | + | 1.97104i | ||||
\(275\) | −2.11249 | + | 3.65894i | −0.127388 | + | 0.220642i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 10.4068 | + | 18.0251i | 0.625283 | + | 1.08302i | 0.988486 | + | 0.151312i | \(0.0483499\pi\) |
−0.363203 | + | 0.931710i | \(0.618317\pi\) | |||||||
\(278\) | 21.4150 | 1.28439 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.51263 | −0.448965 | ||||||||
\(281\) | −6.13014 | − | 10.6177i | −0.365693 | − | 0.633400i | 0.623194 | − | 0.782067i | \(-0.285835\pi\) |
−0.988887 | + | 0.148668i | \(0.952501\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.28629 | + | 3.95997i | −0.135906 | + | 0.235396i | −0.925943 | − | 0.377663i | \(-0.876728\pi\) |
0.790037 | + | 0.613059i | \(0.210061\pi\) | |||||||
\(284\) | 7.53920 | − | 13.0583i | 0.447369 | − | 0.774866i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.07296 | + | 13.9828i | 0.477364 | + | 0.826819i | ||||
\(287\) | −5.78091 | −0.341236 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.89952 | −0.582325 | ||||||||
\(290\) | −5.91517 | − | 10.2454i | −0.347351 | − | 0.601629i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −26.4140 | + | 45.7504i | −1.54576 | + | 2.67734i | ||||
\(293\) | −13.0617 | + | 22.6235i | −0.763073 | + | 1.32168i | 0.178186 | + | 0.983997i | \(0.442977\pi\) |
−0.941259 | + | 0.337685i | \(0.890356\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.83236 | − | 3.17374i | −0.106684 | − | 0.184782i | ||||
\(296\) | −43.6004 | −2.53422 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.96965 | 0.114099 | ||||||||
\(299\) | 7.22998 | + | 12.5227i | 0.418121 | + | 0.724206i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.25375 | − | 3.90360i | 0.129904 | − | 0.225000i | ||||
\(302\) | −5.87282 | + | 10.1720i | −0.337943 | + | 0.585334i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −39.5323 | − | 68.4719i | −2.26733 | − | 3.92713i | ||||
\(305\) | −11.4397 | −0.655034 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.29277 | 0.187928 | 0.0939641 | − | 0.995576i | \(-0.470046\pi\) | ||||
0.0939641 | + | 0.995576i | \(0.470046\pi\) | |||||||
\(308\) | 2.55232 | + | 4.42075i | 0.145432 | + | 0.251896i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −10.4380 | + | 18.0792i | −0.592840 | + | 1.02683i | ||||
\(311\) | −17.3963 | + | 30.1313i | −0.986455 | + | 1.70859i | −0.351170 | + | 0.936312i | \(0.614216\pi\) |
−0.635285 | + | 0.772278i | \(0.719117\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.31392 | − | 9.20398i | −0.300360 | − | 0.520239i | 0.675857 | − | 0.737033i | \(-0.263774\pi\) |
−0.976218 | + | 0.216793i | \(0.930440\pi\) | |||||||
\(314\) | −41.9914 | −2.36971 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.2417 | 1.58872 | ||||||||
\(317\) | 7.75011 | + | 13.4236i | 0.435290 | + | 0.753944i | 0.997319 | − | 0.0731733i | \(-0.0233126\pi\) |
−0.562030 | + | 0.827117i | \(0.689979\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.50748 | + | 4.34309i | −0.140392 | + | 0.243166i | ||||
\(320\) | 20.0507 | − | 34.7289i | 1.12087 | − | 1.94140i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.14556 | + | 5.44827i | 0.175295 | + | 0.303620i | ||||
\(323\) | 15.4461 | 0.859446 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | −11.4930 | − | 19.9064i | −0.636538 | − | 1.10252i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 51.8150 | − | 89.7461i | 2.86100 | − | 4.95540i | ||||
\(329\) | −1.71008 | + | 2.96194i | −0.0942797 | + | 0.163297i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.28514 | + | 12.6182i | 0.400427 | + | 0.693561i | 0.993777 | − | 0.111384i | \(-0.0355283\pi\) |
−0.593350 | + | 0.804945i | \(0.702195\pi\) | |||||||
\(332\) | −14.5066 | −0.796153 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 62.6005 | 3.42534 | ||||||||
\(335\) | 10.4387 | + | 18.0803i | 0.570327 | + | 0.987834i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.3074 | − | 17.8529i | 0.561479 | − | 0.972511i | −0.435888 | − | 0.900001i | \(-0.643566\pi\) |
0.997368 | − | 0.0725099i | \(-0.0231009\pi\) | |||||||
\(338\) | 4.48060 | − | 7.76062i | 0.243712 | − | 0.422122i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 11.8481 | + | 20.5214i | 0.642551 | + | 1.11293i | ||||
\(341\) | 8.84951 | 0.479228 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.88283 | −0.371638 | ||||||||
\(344\) | 40.4012 | + | 69.9769i | 2.17829 | + | 3.77290i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.48748 | − | 6.04048i | 0.187488 | − | 0.324738i | ||||
\(347\) | 10.5918 | − | 18.3455i | 0.568596 | − | 0.984838i | −0.428109 | − | 0.903727i | \(-0.640820\pi\) |
0.996705 | − | 0.0811104i | \(-0.0258466\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.31299 | + | 4.00621i | 0.123811 | + | 0.214447i | 0.921268 | − | 0.388929i | \(-0.127155\pi\) |
−0.797456 | + | 0.603377i | \(0.793822\pi\) | |||||||
\(350\) | −2.98333 | −0.159466 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −36.3387 | −1.93686 | ||||||||
\(353\) | 6.82171 | + | 11.8155i | 0.363083 | + | 0.628878i | 0.988467 | − | 0.151440i | \(-0.0483909\pi\) |
−0.625384 | + | 0.780317i | \(0.715058\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.37118 | + | 4.10700i | −0.125849 | + | 0.217977i | ||||
\(356\) | −29.8275 | + | 51.6628i | −1.58086 | + | 2.73812i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0323 | + | 20.8406i | 0.635927 | + | 1.10146i | ||||
\(359\) | −28.2447 | −1.49070 | −0.745349 | − | 0.666675i | \(-0.767717\pi\) | ||||
−0.745349 | + | 0.666675i | \(0.767717\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.6010 | 0.768473 | ||||||||
\(362\) | −10.7010 | − | 18.5347i | −0.562432 | − | 0.974162i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.14239 | + | 7.17483i | −0.217120 | + | 0.376063i | ||||
\(365\) | 8.30755 | − | 14.3891i | 0.434837 | − | 0.753160i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −17.4401 | − | 30.2071i | −0.910366 | − | 1.57680i | −0.813548 | − | 0.581498i | \(-0.802467\pi\) |
−0.0968183 | − | 0.995302i | \(-0.530867\pi\) | |||||||
\(368\) | −63.3684 | −3.30331 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 21.9802 | 1.14270 | ||||||||
\(371\) | 1.35991 | + | 2.35543i | 0.0706030 | + | 0.122288i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.52972 | + | 2.64955i | −0.0792059 | + | 0.137189i | −0.902908 | − | 0.429835i | \(-0.858572\pi\) |
0.823702 | + | 0.567023i | \(0.191905\pi\) | |||||||
\(374\) | 6.91156 | − | 11.9712i | 0.357388 | − | 0.619015i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −30.6553 | − | 53.0965i | −1.58093 | − | 2.73824i | ||||
\(377\) | −8.13924 | −0.419192 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.67705 | −0.394344 | −0.197172 | − | 0.980369i | \(-0.563176\pi\) | ||||
−0.197172 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(380\) | 25.7739 | + | 44.6417i | 1.32217 | + | 2.29007i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 21.5017 | − | 37.2420i | 1.10012 | − | 1.90547i | ||||
\(383\) | −5.18097 | + | 8.97370i | −0.264735 | + | 0.458535i | −0.967494 | − | 0.252893i | \(-0.918618\pi\) |
0.702759 | + | 0.711428i | \(0.251951\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.802739 | − | 1.39038i | −0.0409113 | − | 0.0708605i | ||||
\(386\) | −12.4021 | −0.631252 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −36.6322 | −1.85972 | ||||||||
\(389\) | 0.213476 | + | 0.369751i | 0.0108236 | + | 0.0187471i | 0.871386 | − | 0.490597i | \(-0.163221\pi\) |
−0.860563 | + | 0.509344i | \(0.829888\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.18986 | − | 10.7211i | 0.313035 | − | 0.542192i | ||||
\(392\) | 30.2836 | − | 52.4528i | 1.52955 | − | 2.64927i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.04971 | − | 7.01430i | −0.204021 | − | 0.353376i | ||||
\(395\) | −8.88239 | −0.446922 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −27.0891 | −1.35956 | −0.679781 | − | 0.733416i | \(-0.737925\pi\) | ||||
−0.679781 | + | 0.733416i | \(0.737925\pi\) | |||||||
\(398\) | −20.1372 | − | 34.8786i | −1.00939 | − | 1.74831i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.0250 | − | 26.0241i | 0.751252 | − | 1.30121i | ||||
\(401\) | −14.6802 | + | 25.4269i | −0.733096 | + | 1.26976i | 0.222458 | + | 0.974942i | \(0.428592\pi\) |
−0.955554 | + | 0.294817i | \(0.904741\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.18133 | + | 12.4384i | 0.357727 | + | 0.619602i | ||||
\(404\) | 19.8319 | 0.986675 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.54115 | −0.175744 | ||||||||
\(407\) | −4.65878 | − | 8.06925i | −0.230927 | − | 0.399978i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.0920 | − | 17.4798i | 0.499015 | − | 0.864320i | −0.500984 | − | 0.865457i | \(-0.667028\pi\) |
0.999999 | + | 0.00113651i | \(0.000361762\pi\) | |||||||
\(410\) | −26.1214 | + | 45.2436i | −1.29004 | + | 2.23442i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −20.4208 | − | 35.3699i | −1.00606 | − | 1.74255i | ||||
\(413\) | −1.09695 | −0.0539775 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.56252 | 0.223965 | ||||||||
\(416\) | −29.4887 | − | 51.0758i | −1.44580 | − | 2.50420i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 15.0352 | − | 26.0417i | 0.735395 | − | 1.27374i | ||||
\(419\) | −12.1852 | + | 21.1053i | −0.595284 | + | 1.03106i | 0.398223 | + | 0.917289i | \(0.369627\pi\) |
−0.993507 | + | 0.113774i | \(0.963706\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.0873 | + | 22.6678i | 0.637835 | + | 1.10476i | 0.985907 | + | 0.167294i | \(0.0535030\pi\) |
−0.348072 | + | 0.937468i | \(0.613164\pi\) | |||||||
\(422\) | 37.5435 | 1.82759 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −48.7561 | −2.36781 | ||||||||
\(425\) | 2.93531 | + | 5.08410i | 0.142383 | + | 0.246615i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.71211 | + | 2.96545i | −0.0828546 | + | 0.143508i | ||||
\(428\) | 28.6228 | − | 49.5761i | 1.38353 | − | 2.39635i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −20.3674 | − | 35.2774i | −0.982203 | − | 1.70123i | ||||
\(431\) | 31.9185 | 1.53746 | 0.768731 | − | 0.639572i | \(-0.220889\pi\) | ||||
0.768731 | + | 0.639572i | \(0.220889\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.0123080 | 0.000591484 | 0.000295742 | − | 1.00000i | \(-0.499906\pi\) | ||||
0.000295742 | 1.00000i | \(0.499906\pi\) | ||||||||
\(434\) | 3.12439 | + | 5.41160i | 0.149976 | + | 0.259765i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −32.5153 | + | 56.3182i | −1.55720 | + | 2.69715i | ||||
\(437\) | 13.4652 | − | 23.3224i | 0.644128 | − | 1.11566i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.65240 | − | 4.59410i | −0.126592 | − | 0.219264i | 0.795762 | − | 0.605610i | \(-0.207071\pi\) |
−0.922354 | + | 0.386345i | \(0.873737\pi\) | |||||||
\(440\) | 28.7802 | 1.37204 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.4348 | 1.06711 | ||||||||
\(443\) | −20.3482 | − | 35.2441i | −0.966771 | − | 1.67450i | −0.704781 | − | 0.709425i | \(-0.748955\pi\) |
−0.261990 | − | 0.965071i | \(-0.584379\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.38116 | − | 16.2486i | 0.444709 | − | 0.770259i | ||||
\(446\) | 9.21342 | − | 15.9581i | 0.436268 | − | 0.755639i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.00174 | − | 10.3953i | −0.283556 | − | 0.491133i | ||||
\(449\) | 15.4280 | 0.728093 | 0.364047 | − | 0.931381i | \(-0.381395\pi\) | ||||
0.364047 | + | 0.931381i | \(0.381395\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.1461 | 1.04282 | ||||||||
\(452\) | 5.16835 | + | 8.95185i | 0.243099 | + | 0.421060i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.1748 | − | 22.8194i | 0.618324 | − | 1.07097i | ||||
\(455\) | 1.30284 | − | 2.25658i | 0.0610779 | − | 0.105790i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.19437 | − | 2.06872i | −0.0558704 | − | 0.0967704i | 0.836737 | − | 0.547604i | \(-0.184460\pi\) |
−0.892608 | + | 0.450834i | \(0.851127\pi\) | |||||||
\(458\) | −37.9922 | −1.77526 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 41.3143 | 1.92629 | ||||||||
\(461\) | −16.2419 | − | 28.1319i | −0.756462 | − | 1.31023i | −0.944644 | − | 0.328097i | \(-0.893593\pi\) |
0.188182 | − | 0.982134i | \(-0.439741\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.9393 | + | 29.3397i | −0.787234 | + | 1.36353i | 0.140421 | + | 0.990092i | \(0.455155\pi\) |
−0.927655 | + | 0.373438i | \(0.878179\pi\) | |||||||
\(464\) | 17.8344 | − | 30.8901i | 0.827943 | − | 1.43404i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.19998 | − | 12.4707i | −0.333533 | − | 0.577696i | ||||
\(467\) | −13.8027 | −0.638711 | −0.319356 | − | 0.947635i | \(-0.603466\pi\) | ||||
−0.319356 | + | 0.947635i | \(0.603466\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.24918 | 0.288560 | ||||||||
\(470\) | 15.4542 | + | 26.7675i | 0.712850 | + | 1.23469i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.83211 | − | 17.0297i | 0.452559 | − | 0.783856i | ||||
\(473\) | −8.63389 | + | 14.9543i | −0.396987 | + | 0.687601i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.38537 | + | 11.0598i | 0.292981 | + | 0.507458i | ||||
\(476\) | 7.09291 | 0.325103 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 48.0785 | 2.19906 | ||||||||
\(479\) | −2.94556 | − | 5.10186i | −0.134586 | − | 0.233110i | 0.790853 | − | 0.612006i | \(-0.209637\pi\) |
−0.925439 | + | 0.378896i | \(0.876304\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.56115 | − | 13.0963i | 0.344759 | − | 0.597140i | ||||
\(482\) | 2.71425 | − | 4.70122i | 0.123631 | − | 0.214135i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.4679 | + | 33.7193i | 0.884903 | + | 1.53270i | ||||
\(485\) | 11.5213 | 0.523155 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.0299 | 1.31547 | 0.657736 | − | 0.753249i | \(-0.271514\pi\) | ||||
0.657736 | + | 0.753249i | \(0.271514\pi\) | |||||||
\(488\) | −30.6916 | − | 53.1594i | −1.38934 | − | 2.40642i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.2669 | + | 26.4430i | −0.689686 | + | 1.19457i | ||||
\(491\) | −2.19175 | + | 3.79623i | −0.0989125 | + | 0.171321i | −0.911235 | − | 0.411887i | \(-0.864870\pi\) |
0.812322 | + | 0.583209i | \(0.198203\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.48415 | + | 6.03473i | 0.156918 | + | 0.271791i | ||||
\(494\) | 48.8038 | 2.19579 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −62.9420 | −2.82618 | ||||||||
\(497\) | 0.709759 | + | 1.22934i | 0.0318371 | + | 0.0551434i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.6718 | + | 30.6084i | −0.791096 | + | 1.37022i | 0.134192 | + | 0.990955i | \(0.457156\pi\) |
−0.925289 | + | 0.379264i | \(0.876177\pi\) | |||||||
\(500\) | −32.0276 | + | 55.4735i | −1.43232 | + | 2.48085i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −31.8715 | − | 55.2030i | −1.42249 | − | 2.46383i | ||||
\(503\) | −8.37659 | −0.373494 | −0.186747 | − | 0.982408i | \(-0.559794\pi\) | ||||
−0.186747 | + | 0.982408i | \(0.559794\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.23740 | −0.277561 | ||||||||
\(506\) | −12.0503 | − | 20.8718i | −0.535703 | − | 0.927865i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.23285 | + | 10.7956i | −0.276538 | + | 0.478978i | ||||
\(509\) | 1.92148 | − | 3.32811i | 0.0851683 | − | 0.147516i | −0.820295 | − | 0.571941i | \(-0.806191\pi\) |
0.905463 | + | 0.424425i | \(0.139524\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.48668 | − | 4.30706i | −0.110004 | − | 0.190533i | ||||
\(512\) | 13.6601 | 0.603699 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.8911 | 0.700925 | ||||||||
\(515\) | 6.42262 | + | 11.1243i | 0.283015 | + | 0.490196i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.55115 | − | 11.3469i | 0.288119 | − | 0.499037i | ||||
\(518\) | 3.28964 | − | 5.69783i | 0.144539 | − | 0.250348i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 23.3549 | + | 40.4520i | 1.02418 | + | 1.77394i | ||||
\(521\) | 19.6523 | 0.860983 | 0.430491 | − | 0.902595i | \(-0.358340\pi\) | ||||
0.430491 | + | 0.902595i | \(0.358340\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −39.6103 | −1.73204 | −0.866018 | − | 0.500012i | \(-0.833329\pi\) | ||||
−0.866018 | + | 0.500012i | \(0.833329\pi\) | |||||||
\(524\) | 45.4699 | + | 78.7562i | 1.98636 | + | 3.44048i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.7261 | + | 51.4872i | −1.29612 | + | 2.24495i | ||||
\(527\) | 6.14820 | − | 10.6490i | 0.267820 | − | 0.463878i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.707953 | + | 1.22621i | 0.0307806 | + | 0.0533135i | ||||
\(530\) | 24.5794 | 1.06766 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.4297 | 0.668961 | ||||||||
\(533\) | 17.9715 | + | 31.1275i | 0.778430 | + | 1.34828i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.00224 | + | 15.5923i | −0.389201 | + | 0.674116i | ||||
\(536\) | −56.0121 | + | 97.0159i | −2.41936 | + | 4.19045i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 41.3910 | + | 71.6913i | 1.78449 | + | 3.09083i | ||||
\(539\) | 12.9435 | 0.557514 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.8257 | −1.79823 | −0.899115 | − | 0.437713i | \(-0.855788\pi\) | ||||
−0.899115 | + | 0.437713i | \(0.855788\pi\) | |||||||
\(542\) | 21.7518 | + | 37.6752i | 0.934319 | + | 1.61829i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −25.2463 | + | 43.7279i | −1.08243 | + | 1.87482i | ||||
\(545\) | 10.2265 | − | 17.7128i | 0.438055 | − | 0.758733i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.51716 | + | 14.7522i | 0.364168 | + | 0.630757i | 0.988642 | − | 0.150288i | \(-0.0480202\pi\) |
−0.624475 | + | 0.781045i | \(0.714687\pi\) | |||||||
\(548\) | 74.0559 | 3.16351 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.4288 | 0.487328 | ||||||||
\(551\) | 7.57931 | + | 13.1277i | 0.322889 | + | 0.559261i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.32937 | + | 2.30254i | −0.0565307 | + | 0.0979140i | ||||
\(554\) | 28.1510 | − | 48.7590i | 1.19602 | − | 2.07157i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −21.0479 | − | 36.4560i | −0.892628 | − | 1.54608i | ||||
\(557\) | −33.7680 | −1.43080 | −0.715398 | − | 0.698717i | \(-0.753755\pi\) | ||||
−0.715398 | + | 0.698717i | \(0.753755\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −28.0254 | −1.18535 | ||||||||
\(560\) | 5.70946 | + | 9.88908i | 0.241269 | + | 0.417890i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.5824 | + | 28.7216i | −0.699487 | + | 1.21155i | ||||
\(563\) | 11.3556 | − | 19.6685i | 0.478583 | − | 0.828930i | −0.521115 | − | 0.853486i | \(-0.674484\pi\) |
0.999698 | + | 0.0245561i | \(0.00781725\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.62552 | − | 2.81548i | −0.0683860 | − | 0.118448i | ||||
\(566\) | 12.3691 | 0.519913 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −25.4466 | −1.06772 | ||||||||
\(569\) | −5.43572 | − | 9.41495i | −0.227877 | − | 0.394695i | 0.729301 | − | 0.684193i | \(-0.239845\pi\) |
−0.957179 | + | 0.289497i | \(0.906512\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.44185 | + | 12.8897i | −0.311432 | + | 0.539416i | −0.978673 | − | 0.205426i | \(-0.934142\pi\) |
0.667241 | + | 0.744842i | \(0.267475\pi\) | |||||||
\(572\) | 15.8691 | − | 27.4861i | 0.663521 | − | 1.14925i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.81886 | + | 13.5427i | 0.326353 | + | 0.565260i | ||||
\(575\) | 10.2354 | 0.426848 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −37.1163 | −1.54517 | −0.772586 | − | 0.634910i | \(-0.781037\pi\) | ||||
−0.772586 | + | 0.634910i | \(0.781037\pi\) | |||||||
\(578\) | 13.3894 | + | 23.1912i | 0.556927 | + | 0.964625i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −11.6275 | + | 20.1394i | −0.482806 | + | 0.836245i | ||||
\(581\) | 0.682844 | − | 1.18272i | 0.0283291 | − | 0.0490675i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.20969 | − | 9.02344i | −0.215763 | − | 0.373713i | ||||
\(584\) | 89.1536 | 3.68920 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 70.6655 | 2.91917 | ||||||||
\(587\) | −7.32161 | − | 12.6814i | −0.302195 | − | 0.523417i | 0.674438 | − | 0.738332i | \(-0.264386\pi\) |
−0.976633 | + | 0.214914i | \(0.931053\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.3746 | − | 23.1655i | 0.551090 | − | 0.954516i | ||||
\(590\) | −4.95665 | + | 8.58517i | −0.204062 | + | 0.353446i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 33.1355 | + | 57.3924i | 1.36186 | + | 2.35881i | ||||
\(593\) | −36.4392 | −1.49638 | −0.748189 | − | 0.663485i | \(-0.769076\pi\) | ||||
−0.748189 | + | 0.663485i | \(0.769076\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.23081 | −0.0914544 | ||||||||
\(596\) | −1.93588 | − | 3.35305i | −0.0792968 | − | 0.137346i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 19.5576 | − | 33.8747i | 0.799769 | − | 1.38524i | ||||
\(599\) | 13.7474 | − | 23.8113i | 0.561705 | − | 0.972902i | −0.435642 | − | 0.900120i | \(-0.643479\pi\) |
0.997348 | − | 0.0727826i | \(-0.0231879\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.5885 | − | 39.1244i | −0.921404 | − | 1.59592i | −0.797245 | − | 0.603656i | \(-0.793710\pi\) |
−0.124159 | − | 0.992262i | \(-0.539623\pi\) | |||||||
\(602\) | −12.1931 | −0.496952 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 23.0885 | 0.939459 | ||||||||
\(605\) | −6.12290 | − | 10.6052i | −0.248931 | − | 0.431162i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.56858 | + | 14.8412i | −0.347788 | + | 0.602387i | −0.985856 | − | 0.167593i | \(-0.946400\pi\) |
0.638068 | + | 0.769980i | \(0.279734\pi\) | |||||||
\(608\) | −54.9200 | + | 95.1243i | −2.22730 | + | 3.85780i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.4725 | + | 26.7992i | 0.626464 | + | 1.08507i | ||||
\(611\) | 21.2649 | 0.860286 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.468761 | −0.0189331 | −0.00946653 | − | 0.999955i | \(-0.503013\pi\) | ||||
−0.00946653 | + | 0.999955i | \(0.503013\pi\) | |||||||
\(614\) | −4.45358 | − | 7.71382i | −0.179732 | − | 0.311304i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.30735 | − | 7.46055i | 0.173548 | − | 0.300594i | ||||
\(617\) | −1.06742 | + | 1.84883i | −0.0429729 | + | 0.0744312i | −0.886712 | − | 0.462323i | \(-0.847016\pi\) |
0.843739 | + | 0.536754i | \(0.180350\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.26880 | − | 7.39378i | −0.171578 | − | 0.297181i | 0.767394 | − | 0.641176i | \(-0.221553\pi\) |
−0.938972 | + | 0.343995i | \(0.888220\pi\) | |||||||
\(620\) | 41.0363 | 1.64806 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 94.1163 | 3.77372 | ||||||||
\(623\) | −2.80804 | − | 4.86367i | −0.112502 | − | 0.194859i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.56529 | − | 7.90731i | 0.182612 | − | 0.316292i | ||||
\(626\) | −14.3745 | + | 24.8974i | −0.574520 | + | 0.995098i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 41.2715 | + | 71.4844i | 1.64691 | + | 2.85254i | ||||
\(629\) | −12.9468 | −0.516222 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.8708 | −0.472569 | −0.236284 | − | 0.971684i | \(-0.575930\pi\) | ||||
−0.236284 | + | 0.971684i | \(0.575930\pi\) | |||||||
\(632\) | −23.8307 | − | 41.2759i | −0.947933 | − | 1.64187i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 20.9646 | − | 36.3117i | 0.832609 | − | 1.44212i | ||||
\(635\) | 1.96031 | − | 3.39536i | 0.0777926 | − | 0.134741i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.5035 | + | 18.1927i | 0.416166 | + | 0.720820i | ||||
\(638\) | 13.5658 | 0.537076 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −45.0973 | −1.78263 | ||||||||
\(641\) | 2.65183 | + | 4.59310i | 0.104741 | + | 0.181417i | 0.913632 | − | 0.406541i | \(-0.133265\pi\) |
−0.808891 | + | 0.587958i | \(0.799932\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.411934 | − | 0.713491i | 0.0162451 | − | 0.0281374i | −0.857789 | − | 0.514003i | \(-0.828162\pi\) |
0.874034 | + | 0.485865i | \(0.161495\pi\) | |||||||
\(644\) | 6.18326 | − | 10.7097i | 0.243655 | − | 0.422022i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.8914 | − | 36.1850i | −0.821961 | − | 1.42368i | ||||
\(647\) | 40.8373 | 1.60548 | 0.802740 | − | 0.596329i | \(-0.203374\pi\) | ||||
0.802740 | + | 0.596329i | \(0.203374\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.20232 | 0.164955 | ||||||||
\(650\) | 9.27445 | + | 16.0638i | 0.363774 | + | 0.630074i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.5919 | + | 39.1303i | −0.884767 | + | 1.53246i | ||||
\(653\) | 0.534678 | − | 0.926090i | 0.0209236 | − | 0.0362407i | −0.855374 | − | 0.518011i | \(-0.826673\pi\) |
0.876298 | + | 0.481770i | \(0.160006\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.3009 | − | 24.7699i | −0.558782 | − | 0.967838i | ||||
\(656\) | −157.514 | −6.14988 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 9.25175 | 0.360671 | ||||||||
\(659\) | −14.3321 | − | 24.8240i | −0.558301 | − | 0.967006i | −0.997638 | − | 0.0686837i | \(-0.978120\pi\) |
0.439337 | − | 0.898322i | \(-0.355213\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.24786 | − | 3.89341i | 0.0874316 | − | 0.151436i | −0.818993 | − | 0.573803i | \(-0.805467\pi\) |
0.906425 | + | 0.422367i | \(0.138801\pi\) | |||||||
\(662\) | 19.7068 | − | 34.1331i | 0.765925 | − | 1.32662i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.2408 | + | 21.2017i | 0.475036 | + | 0.822787i | ||||
\(665\) | −4.85283 | −0.188185 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.1493 | 0.470422 | ||||||||
\(668\) | −61.5272 | − | 106.568i | −2.38056 | − | 4.12325i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 28.2373 | − | 48.9085i | 1.09090 | − | 1.88950i | ||||
\(671\) | 6.55892 | − | 11.3604i | 0.253204 | − | 0.438563i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.02929 | − | 15.6392i | −0.348054 | − | 0.602846i | 0.637850 | − | 0.770161i | \(-0.279824\pi\) |
−0.985904 | + | 0.167314i | \(0.946491\pi\) | |||||||
\(674\) | −55.7643 | −2.14796 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6151 | −0.677505 | ||||||||
\(677\) | 7.86959 | + | 13.6305i | 0.302453 | + | 0.523864i | 0.976691 | − | 0.214650i | \(-0.0688612\pi\) |
−0.674238 | + | 0.738514i | \(0.735528\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.72432 | − | 2.98661i | 0.0661734 | − | 0.114616i | ||||
\(680\) | 19.9950 | − | 34.6324i | 0.766775 | − | 1.32809i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −11.9692 | − | 20.7313i | −0.458326 | − | 0.793844i | ||||
\(683\) | 2.76118 | 0.105654 | 0.0528268 | − | 0.998604i | \(-0.483177\pi\) | ||||
0.0528268 | + | 0.998604i | \(0.483177\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.2916 | −0.889925 | ||||||||
\(686\) | 9.30925 | + | 16.1241i | 0.355429 | + | 0.615621i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 61.4084 | − | 106.362i | 2.34117 | − | 4.05503i | ||||
\(689\) | 8.45526 | − | 14.6449i | 0.322120 | − | 0.557928i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.2628 | + | 29.9000i | 0.656707 | + | 1.13745i | 0.981463 | + | 0.191652i | \(0.0613844\pi\) |
−0.324756 | + | 0.945798i | \(0.605282\pi\) | |||||||
\(692\) | −13.7107 | −0.521204 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −57.3029 | −2.17519 | ||||||||
\(695\) | 6.61983 | + | 11.4659i | 0.251104 | + | 0.434926i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.3860 | − | 26.6494i | 0.582787 | − | 1.00942i | ||||
\(698\) | 6.25678 | − | 10.8371i | 0.236822 | − | 0.410189i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.93218 | + | 5.07868i | 0.110826 | + | 0.191956i | ||||
\(701\) | 20.7410 | 0.783378 | 0.391689 | − | 0.920098i | \(-0.371891\pi\) | ||||
0.391689 | + | 0.920098i | \(0.371891\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.1640 | −1.06222 | ||||||||
\(704\) | 22.9921 | + | 39.8235i | 0.866548 | + | 1.50090i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 18.4532 | − | 31.9618i | 0.694494 | − | 1.20290i | ||||
\(707\) | −0.933514 | + | 1.61689i | −0.0351084 | + | 0.0608095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.8536 | − | 23.9951i | −0.520281 | − | 0.901154i | −0.999722 | − | 0.0235795i | \(-0.992494\pi\) |
0.479441 | − | 0.877574i | \(-0.340840\pi\) | |||||||
\(710\) | 12.8284 | 0.481441 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 100.675 | 3.77296 | ||||||||
\(713\) | −10.7194 | − | 18.5666i | −0.401445 | − | 0.695324i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.99104 | + | 8.64474i | −0.186654 | + | 0.323295i | ||||
\(716\) | 23.6520 | − | 40.9665i | 0.883918 | − | 1.53099i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 38.2018 | + | 66.1675i | 1.42568 | + | 2.46935i | ||||
\(719\) | −33.1314 | −1.23559 | −0.617797 | − | 0.786337i | \(-0.711975\pi\) | ||||
−0.617797 | + | 0.786337i | \(0.711975\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.84494 | 0.143193 | ||||||||
\(722\) | −19.7483 | − | 34.2051i | −0.734956 | − | 1.27298i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.0351 | + | 36.4338i | −0.781763 | + | 1.35405i | ||||
\(725\) | −2.88067 | + | 4.98946i | −0.106985 | + | 0.185304i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.0413027 | + | 0.0715384i | 0.00153183 | + | 0.00265321i | 0.866790 | − | 0.498673i | \(-0.166179\pi\) |
−0.865258 | + | 0.501326i | \(0.832846\pi\) | |||||||
\(728\) | 13.9816 | 0.518191 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −44.9449 | −1.66349 | ||||||||
\(731\) | 11.9968 | + | 20.7791i | 0.443718 | + | 0.768542i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.9587 | − | 27.6414i | 0.589450 | − | 1.02096i | −0.404855 | − | 0.914381i | \(-0.632678\pi\) |
0.994305 | − | 0.106576i | \(-0.0339887\pi\) | |||||||
\(734\) | −47.1766 | + | 81.7123i | −1.74132 | + | 3.01606i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 44.0171 | + | 76.2399i | 1.62249 | + | 2.81024i | ||||
\(737\) | −23.9400 | −0.881842 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −35.7919 | −1.31663 | −0.658314 | − | 0.752744i | \(-0.728730\pi\) | ||||
−0.658314 | + | 0.752744i | \(0.728730\pi\) | |||||||
\(740\) | −21.6034 | − | 37.4181i | −0.794155 | − | 1.37552i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.67864 | − | 6.37160i | 0.135047 | − | 0.233909i | ||||
\(743\) | 9.88944 | − | 17.1290i | 0.362808 | − | 0.628402i | −0.625614 | − | 0.780133i | \(-0.715151\pi\) |
0.988422 | + | 0.151731i | \(0.0484847\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.608860 | + | 1.05458i | 0.0223069 | + | 0.0386367i | ||||
\(746\) | 8.27598 | 0.303005 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −27.1723 | −0.993517 | ||||||||
\(749\) | 2.69462 | + | 4.66722i | 0.0984593 | + | 0.170537i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.2903 | + | 26.4835i | −0.557950 | + | 0.966398i | 0.439717 | + | 0.898136i | \(0.355079\pi\) |
−0.997667 | + | 0.0682617i | \(0.978255\pi\) | |||||||
\(752\) | −46.5950 | + | 80.7048i | −1.69914 | + | 2.94300i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.0086 | + | 19.0674i | 0.400909 | + | 0.694395i | ||||
\(755\) | −7.26165 | −0.264278 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.4129 | 0.923647 | 0.461824 | − | 0.886972i | \(-0.347195\pi\) | ||||
0.461824 | + | 0.886972i | \(0.347195\pi\) | |||||||
\(758\) | 10.3835 | + | 17.9847i | 0.377144 | + | 0.653233i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 43.4965 | − | 75.3382i | 1.57778 | − | 2.73280i | ||||
\(761\) | 23.4090 | − | 40.5456i | 0.848575 | − | 1.46978i | −0.0339049 | − | 0.999425i | \(-0.510794\pi\) |
0.882480 | − | 0.470350i | \(-0.155872\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.06107 | − | 5.30194i | −0.110818 | − | 0.191943i | ||||
\(764\) | −84.5322 | −3.05827 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 28.0297 | 1.01275 | ||||||||
\(767\) | 3.41016 | + | 5.90657i | 0.123134 | + | 0.213274i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.28271 | + | 12.6140i | −0.262621 | + | 0.454873i | −0.966938 | − | 0.255013i | \(-0.917920\pi\) |
0.704316 | + | 0.709886i | \(0.251254\pi\) | |||||||
\(770\) | −2.17146 | + | 3.76108i | −0.0782540 | + | 0.135540i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 12.1895 | + | 21.1128i | 0.438710 | + | 0.759867i | ||||
\(773\) | 24.3533 | 0.875929 | 0.437964 | − | 0.898992i | \(-0.355700\pi\) | ||||
0.437964 | + | 0.898992i | \(0.355700\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.1666 | 0.365194 | ||||||||
\(776\) | 30.9106 | + | 53.5387i | 1.10963 | + | 1.92193i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.577465 | − | 1.00020i | 0.0207031 | − | 0.0358589i | ||||
\(779\) | 33.4702 | − | 57.9722i | 1.19920 | − | 2.07707i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.71902 | − | 4.70948i | −0.0972943 | − | 0.168519i | ||||
\(782\) | −33.4879 | −1.19753 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −92.0601 | −3.28786 | ||||||||
\(785\) | −12.9804 | − | 22.4828i | −0.463292 | − | 0.802445< |