Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(371,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.371");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.h (of order \(2\), degree \(1\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4x^{14} + 6x^{12} + 36x^{10} - 142x^{8} + 324x^{6} + 486x^{4} - 2916x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{31}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 371.3 | ||
Root | \(1.60627 + 0.647994i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.371 |
Dual form | 930.2.h.d.371.11 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −0.647994 | − | 1.60627i | −0.374120 | − | 0.927380i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | −1.60627 | + | 0.647994i | −0.655757 | + | 0.264542i | ||||
\(7\) | 0.794255 | 0.300200 | 0.150100 | − | 0.988671i | \(-0.452040\pi\) | ||||
0.150100 | + | 0.988671i | \(0.452040\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −2.16021 | + | 2.08171i | −0.720069 | + | 0.693902i | ||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | 6.29899 | 1.89922 | 0.949608 | − | 0.313440i | \(-0.101481\pi\) | ||||
0.949608 | + | 0.313440i | \(0.101481\pi\) | |||||||
\(12\) | 0.647994 | + | 1.60627i | 0.187060 | + | 0.463690i | ||||
\(13\) | − | 1.29599i | − | 0.359442i | −0.983718 | − | 0.179721i | \(-0.942480\pi\) | ||
0.983718 | − | 0.179721i | \(-0.0575196\pi\) | |||||||
\(14\) | − | 0.794255i | − | 0.212273i | ||||||
\(15\) | 1.60627 | − | 0.647994i | 0.414737 | − | 0.167311i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.58092 | 0.868500 | 0.434250 | − | 0.900792i | \(-0.357013\pi\) | ||||
0.434250 | + | 0.900792i | \(0.357013\pi\) | |||||||
\(18\) | 2.08171 | + | 2.16021i | 0.490663 | + | 0.509166i | ||||
\(19\) | −1.52616 | −0.350125 | −0.175063 | − | 0.984557i | \(-0.556013\pi\) | ||||
−0.175063 | + | 0.984557i | \(0.556013\pi\) | |||||||
\(20\) | − | 1.00000i | − | 0.223607i | ||||||
\(21\) | −0.514672 | − | 1.27579i | −0.112311 | − | 0.278400i | ||||
\(22\) | − | 6.29899i | − | 1.34295i | ||||||
\(23\) | −3.08645 | −0.643569 | −0.321784 | − | 0.946813i | \(-0.604283\pi\) | ||||
−0.321784 | + | 0.946813i | \(0.604283\pi\) | |||||||
\(24\) | 1.60627 | − | 0.647994i | 0.327879 | − | 0.132271i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −1.29599 | −0.254164 | ||||||||
\(27\) | 4.74359 | + | 2.12094i | 0.912903 | + | 0.408176i | ||||
\(28\) | −0.794255 | −0.150100 | ||||||||
\(29\) | 7.82280 | 1.45266 | 0.726329 | − | 0.687347i | \(-0.241225\pi\) | ||||
0.726329 | + | 0.687347i | \(0.241225\pi\) | |||||||
\(30\) | −0.647994 | − | 1.60627i | −0.118307 | − | 0.293263i | ||||
\(31\) | 4.83042 | + | 2.76894i | 0.867570 | + | 0.497316i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −4.08171 | − | 10.1179i | −0.710534 | − | 1.76130i | ||||
\(34\) | − | 3.58092i | − | 0.614123i | ||||||
\(35\) | 0.794255i | 0.134254i | ||||||||
\(36\) | 2.16021 | − | 2.08171i | 0.360035 | − | 0.346951i | ||||
\(37\) | − | 6.43954i | − | 1.05865i | −0.848418 | − | 0.529327i | \(-0.822445\pi\) | ||
0.848418 | − | 0.529327i | \(-0.177555\pi\) | |||||||
\(38\) | 1.52616i | 0.247576i | ||||||||
\(39\) | −2.08171 | + | 0.839793i | −0.333340 | + | 0.134474i | ||||
\(40\) | −1.00000 | −0.158114 | ||||||||
\(41\) | − | 8.16341i | − | 1.27491i | −0.770487 | − | 0.637456i | \(-0.779987\pi\) | ||
0.770487 | − | 0.637456i | \(-0.220013\pi\) | |||||||
\(42\) | −1.27579 | + | 0.514672i | −0.196858 | + | 0.0794157i | ||||
\(43\) | − | 5.37138i | − | 0.819128i | −0.912281 | − | 0.409564i | \(-0.865681\pi\) | ||
0.912281 | − | 0.409564i | \(-0.134319\pi\) | |||||||
\(44\) | −6.29899 | −0.949608 | ||||||||
\(45\) | −2.08171 | − | 2.16021i | −0.310323 | − | 0.322025i | ||||
\(46\) | 3.08645i | 0.455072i | ||||||||
\(47\) | − | 4.73191i | − | 0.690219i | −0.938562 | − | 0.345110i | \(-0.887842\pi\) | ||
0.938562 | − | 0.345110i | \(-0.112158\pi\) | |||||||
\(48\) | −0.647994 | − | 1.60627i | −0.0935299 | − | 0.231845i | ||||
\(49\) | −6.36916 | −0.909880 | ||||||||
\(50\) | 1.00000i | 0.141421i | ||||||||
\(51\) | −2.32041 | − | 5.75192i | −0.324923 | − | 0.805430i | ||||
\(52\) | 1.29599i | 0.179721i | ||||||||
\(53\) | −3.60528 | −0.495223 | −0.247611 | − | 0.968859i | \(-0.579646\pi\) | ||||
−0.247611 | + | 0.968859i | \(0.579646\pi\) | |||||||
\(54\) | 2.12094 | − | 4.74359i | 0.288624 | − | 0.645520i | ||||
\(55\) | 6.29899i | 0.849355i | ||||||||
\(56\) | 0.794255i | 0.106137i | ||||||||
\(57\) | 0.988943 | + | 2.45143i | 0.130989 | + | 0.324699i | ||||
\(58\) | − | 7.82280i | − | 1.02718i | ||||||
\(59\) | 12.3268i | 1.60482i | 0.596776 | + | 0.802408i | \(0.296448\pi\) | ||||
−0.596776 | + | 0.802408i | \(0.703552\pi\) | |||||||
\(60\) | −1.60627 | + | 0.647994i | −0.207369 | + | 0.0836557i | ||||
\(61\) | − | 2.22360i | − | 0.284702i | −0.989816 | − | 0.142351i | \(-0.954534\pi\) | ||
0.989816 | − | 0.142351i | \(-0.0454663\pi\) | |||||||
\(62\) | 2.76894 | − | 4.83042i | 0.351655 | − | 0.613464i | ||||
\(63\) | −1.71575 | + | 1.65341i | −0.216165 | + | 0.208309i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.29599 | 0.160748 | ||||||||
\(66\) | −10.1179 | + | 4.08171i | −1.24542 | + | 0.502423i | ||||
\(67\) | −2.25449 | −0.275430 | −0.137715 | − | 0.990472i | \(-0.543976\pi\) | ||||
−0.137715 | + | 0.990472i | \(0.543976\pi\) | |||||||
\(68\) | −3.58092 | −0.434250 | ||||||||
\(69\) | 2.00000 | + | 4.95767i | 0.240772 | + | 0.596833i | ||||
\(70\) | 0.794255 | 0.0949316 | ||||||||
\(71\) | 15.0300i | 1.78373i | 0.452298 | + | 0.891867i | \(0.350604\pi\) | ||||
−0.452298 | + | 0.891867i | \(0.649396\pi\) | |||||||
\(72\) | −2.08171 | − | 2.16021i | −0.245332 | − | 0.254583i | ||||
\(73\) | − | 1.38168i | − | 0.161713i | −0.996726 | − | 0.0808566i | \(-0.974234\pi\) | ||
0.996726 | − | 0.0808566i | \(-0.0257656\pi\) | |||||||
\(74\) | −6.43954 | −0.748581 | ||||||||
\(75\) | 0.647994 | + | 1.60627i | 0.0748239 | + | 0.185476i | ||||
\(76\) | 1.52616 | 0.175063 | ||||||||
\(77\) | 5.00300 | 0.570145 | ||||||||
\(78\) | 0.839793 | + | 2.08171i | 0.0950878 | + | 0.235707i | ||||
\(79\) | − | 11.5702i | − | 1.30175i | −0.759184 | − | 0.650876i | \(-0.774402\pi\) | ||
0.759184 | − | 0.650876i | \(-0.225598\pi\) | |||||||
\(80\) | 1.00000i | 0.111803i | ||||||||
\(81\) | 0.332991 | − | 8.99384i | 0.0369990 | − | 0.999315i | ||||
\(82\) | −8.16341 | −0.901498 | ||||||||
\(83\) | 9.77976 | 1.07347 | 0.536734 | − | 0.843752i | \(-0.319658\pi\) | ||||
0.536734 | + | 0.843752i | \(0.319658\pi\) | |||||||
\(84\) | 0.514672 | + | 1.27579i | 0.0561553 | + | 0.139200i | ||||
\(85\) | 3.58092i | 0.388405i | ||||||||
\(86\) | −5.37138 | −0.579211 | ||||||||
\(87\) | −5.06913 | − | 12.5655i | −0.543468 | − | 1.34717i | ||||
\(88\) | 6.29899i | 0.671474i | ||||||||
\(89\) | −4.07539 | −0.431991 | −0.215995 | − | 0.976394i | \(-0.569300\pi\) | ||||
−0.215995 | + | 0.976394i | \(0.569300\pi\) | |||||||
\(90\) | −2.16021 | + | 2.08171i | −0.227706 | + | 0.219431i | ||||
\(91\) | − | 1.02934i | − | 0.107905i | ||||||
\(92\) | 3.08645 | 0.321784 | ||||||||
\(93\) | 1.31757 | − | 9.55322i | 0.136626 | − | 0.990623i | ||||
\(94\) | −4.73191 | −0.488059 | ||||||||
\(95\) | − | 1.52616i | − | 0.156581i | ||||||
\(96\) | −1.60627 | + | 0.647994i | −0.163939 | + | 0.0661356i | ||||
\(97\) | −2.73191 | −0.277383 | −0.138691 | − | 0.990336i | \(-0.544290\pi\) | ||||
−0.138691 | + | 0.990336i | \(0.544290\pi\) | |||||||
\(98\) | 6.36916i | 0.643382i | ||||||||
\(99\) | −13.6071 | + | 13.1126i | −1.36757 | + | 1.31787i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 2.70318i | 0.268976i | 0.990915 | + | 0.134488i | \(0.0429390\pi\) | ||||
−0.990915 | + | 0.134488i | \(0.957061\pi\) | |||||||
\(102\) | −5.75192 | + | 2.32041i | −0.569525 | + | 0.229755i | ||||
\(103\) | 6.48383 | 0.638871 | 0.319435 | − | 0.947608i | \(-0.396507\pi\) | ||||
0.319435 | + | 0.947608i | \(0.396507\pi\) | |||||||
\(104\) | 1.29599 | 0.127082 | ||||||||
\(105\) | 1.27579 | − | 0.514672i | 0.124504 | − | 0.0502269i | ||||
\(106\) | 3.60528i | 0.350175i | ||||||||
\(107\) | − | 6.80067i | − | 0.657445i | −0.944426 | − | 0.328723i | \(-0.893382\pi\) | ||
0.944426 | − | 0.328723i | \(-0.106618\pi\) | |||||||
\(108\) | −4.74359 | − | 2.12094i | −0.456452 | − | 0.204088i | ||||
\(109\) | 10.9677 | 1.05051 | 0.525256 | − | 0.850945i | \(-0.323970\pi\) | ||||
0.525256 | + | 0.850945i | \(0.323970\pi\) | |||||||
\(110\) | 6.29899 | 0.600585 | ||||||||
\(111\) | −10.3436 | + | 4.17278i | −0.981775 | + | 0.396063i | ||||
\(112\) | 0.794255 | 0.0750500 | ||||||||
\(113\) | − | 0.891745i | − | 0.0838883i | −0.999120 | − | 0.0419442i | \(-0.986645\pi\) | ||
0.999120 | − | 0.0419442i | \(-0.0133552\pi\) | |||||||
\(114\) | 2.45143 | − | 0.988943i | 0.229597 | − | 0.0926230i | ||||
\(115\) | − | 3.08645i | − | 0.287813i | ||||||
\(116\) | −7.82280 | −0.726329 | ||||||||
\(117\) | 2.69787 | + | 2.79960i | 0.249418 | + | 0.258823i | ||||
\(118\) | 12.3268 | 1.13478 | ||||||||
\(119\) | 2.84416 | 0.260724 | ||||||||
\(120\) | 0.647994 | + | 1.60627i | 0.0591535 | + | 0.146632i | ||||
\(121\) | 28.6772 | 2.60702 | ||||||||
\(122\) | −2.22360 | −0.201315 | ||||||||
\(123\) | −13.1126 | + | 5.28984i | −1.18233 | + | 0.476969i | ||||
\(124\) | −4.83042 | − | 2.76894i | −0.433785 | − | 0.248658i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 1.65341 | + | 1.71575i | 0.147297 | + | 0.152852i | ||||
\(127\) | − | 6.07116i | − | 0.538728i | −0.963038 | − | 0.269364i | \(-0.913186\pi\) | ||
0.963038 | − | 0.269364i | \(-0.0868135\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −8.62789 | + | 3.48062i | −0.759643 | + | 0.306452i | ||||
\(130\) | − | 1.29599i | − | 0.113666i | ||||||
\(131\) | 8.32683i | 0.727518i | 0.931493 | + | 0.363759i | \(0.118507\pi\) | ||||
−0.931493 | + | 0.363759i | \(0.881493\pi\) | |||||||
\(132\) | 4.08171 | + | 10.1179i | 0.355267 | + | 0.880648i | ||||
\(133\) | −1.21216 | −0.105108 | ||||||||
\(134\) | 2.25449i | 0.194758i | ||||||||
\(135\) | −2.12094 | + | 4.74359i | −0.182542 | + | 0.408263i | ||||
\(136\) | 3.58092i | 0.307061i | ||||||||
\(137\) | 8.68407 | 0.741930 | 0.370965 | − | 0.928647i | \(-0.379027\pi\) | ||||
0.370965 | + | 0.928647i | \(0.379027\pi\) | |||||||
\(138\) | 4.95767 | − | 2.00000i | 0.422025 | − | 0.170251i | ||||
\(139\) | − | 5.62515i | − | 0.477119i | −0.971128 | − | 0.238559i | \(-0.923325\pi\) | ||
0.971128 | − | 0.238559i | \(-0.0766752\pi\) | |||||||
\(140\) | − | 0.794255i | − | 0.0671268i | ||||||
\(141\) | −7.60072 | + | 3.06625i | −0.640096 | + | 0.258225i | ||||
\(142\) | 15.0300 | 1.26129 | ||||||||
\(143\) | − | 8.16341i | − | 0.682659i | ||||||
\(144\) | −2.16021 | + | 2.08171i | −0.180017 | + | 0.173476i | ||||
\(145\) | 7.82280i | 0.649649i | ||||||||
\(146\) | −1.38168 | −0.114349 | ||||||||
\(147\) | 4.12718 | + | 10.2306i | 0.340404 | + | 0.843805i | ||||
\(148\) | 6.43954i | 0.529327i | ||||||||
\(149\) | − | 15.0300i | − | 1.23131i | −0.788017 | − | 0.615653i | \(-0.788892\pi\) | ||
0.788017 | − | 0.615653i | \(-0.211108\pi\) | |||||||
\(150\) | 1.60627 | − | 0.647994i | 0.131151 | − | 0.0529085i | ||||
\(151\) | − | 4.80112i | − | 0.390709i | −0.980733 | − | 0.195355i | \(-0.937414\pi\) | ||
0.980733 | − | 0.195355i | \(-0.0625858\pi\) | |||||||
\(152\) | − | 1.52616i | − | 0.123788i | ||||||
\(153\) | −7.73553 | + | 7.45442i | −0.625380 | + | 0.602655i | ||||
\(154\) | − | 5.00300i | − | 0.403153i | ||||||
\(155\) | −2.76894 | + | 4.83042i | −0.222406 | + | 0.387989i | ||||
\(156\) | 2.08171 | − | 0.839793i | 0.166670 | − | 0.0672372i | ||||
\(157\) | 19.8207 | 1.58186 | 0.790931 | − | 0.611905i | \(-0.209596\pi\) | ||||
0.790931 | + | 0.611905i | \(0.209596\pi\) | |||||||
\(158\) | −11.5702 | −0.920477 | ||||||||
\(159\) | 2.33620 | + | 5.79105i | 0.185273 | + | 0.459260i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −2.45143 | −0.193199 | ||||||||
\(162\) | −8.99384 | − | 0.332991i | −0.706623 | − | 0.0261622i | ||||
\(163\) | −22.7132 | −1.77903 | −0.889516 | − | 0.456904i | \(-0.848958\pi\) | ||||
−0.889516 | + | 0.456904i | \(0.848958\pi\) | |||||||
\(164\) | 8.16341i | 0.637456i | ||||||||
\(165\) | 10.1179 | − | 4.08171i | 0.787676 | − | 0.317760i | ||||
\(166\) | − | 9.77976i | − | 0.759056i | ||||||
\(167\) | −3.08645 | −0.238837 | −0.119418 | − | 0.992844i | \(-0.538103\pi\) | ||||
−0.119418 | + | 0.992844i | \(0.538103\pi\) | |||||||
\(168\) | 1.27579 | − | 0.514672i | 0.0984291 | − | 0.0397078i | ||||
\(169\) | 11.3204 | 0.870801 | ||||||||
\(170\) | 3.58092 | 0.274644 | ||||||||
\(171\) | 3.29682 | − | 3.17702i | 0.252114 | − | 0.242953i | ||||
\(172\) | 5.37138i | 0.409564i | ||||||||
\(173\) | 9.50385i | 0.722564i | 0.932457 | + | 0.361282i | \(0.117661\pi\) | ||||
−0.932457 | + | 0.361282i | \(0.882339\pi\) | |||||||
\(174\) | −12.5655 | + | 5.06913i | −0.952591 | + | 0.384290i | ||||
\(175\) | −0.794255 | −0.0600400 | ||||||||
\(176\) | 6.29899 | 0.474804 | ||||||||
\(177\) | 19.8002 | − | 7.98771i | 1.48828 | − | 0.600393i | ||||
\(178\) | 4.07539i | 0.305463i | ||||||||
\(179\) | −23.1145 | −1.72766 | −0.863829 | − | 0.503785i | \(-0.831940\pi\) | ||||
−0.863829 | + | 0.503785i | \(0.831940\pi\) | |||||||
\(180\) | 2.08171 | + | 2.16021i | 0.155161 | + | 0.161012i | ||||
\(181\) | 9.81857i | 0.729809i | 0.931045 | + | 0.364904i | \(0.118898\pi\) | ||||
−0.931045 | + | 0.364904i | \(0.881102\pi\) | |||||||
\(182\) | −1.02934 | −0.0763001 | ||||||||
\(183\) | −3.57170 | + | 1.44088i | −0.264028 | + | 0.106513i | ||||
\(184\) | − | 3.08645i | − | 0.227536i | ||||||
\(185\) | 6.43954 | 0.473444 | ||||||||
\(186\) | −9.55322 | − | 1.31757i | −0.700476 | − | 0.0966092i | ||||
\(187\) | 22.5562 | 1.64947 | ||||||||
\(188\) | 4.73191i | 0.345110i | ||||||||
\(189\) | 3.76761 | + | 1.68457i | 0.274054 | + | 0.122534i | ||||
\(190\) | −1.52616 | −0.110719 | ||||||||
\(191\) | 21.0336i | 1.52194i | 0.648789 | + | 0.760968i | \(0.275276\pi\) | ||||
−0.648789 | + | 0.760968i | \(0.724724\pi\) | |||||||
\(192\) | 0.647994 | + | 1.60627i | 0.0467649 | + | 0.115923i | ||||
\(193\) | 3.20932 | 0.231012 | 0.115506 | − | 0.993307i | \(-0.463151\pi\) | ||||
0.115506 | + | 0.993307i | \(0.463151\pi\) | |||||||
\(194\) | 2.73191i | 0.196139i | ||||||||
\(195\) | −0.839793 | − | 2.08171i | −0.0601388 | − | 0.149074i | ||||
\(196\) | 6.36916 | 0.454940 | ||||||||
\(197\) | 24.5350 | 1.74805 | 0.874023 | − | 0.485885i | \(-0.161503\pi\) | ||||
0.874023 | + | 0.485885i | \(0.161503\pi\) | |||||||
\(198\) | 13.1126 | + | 13.6071i | 0.931875 | + | 0.967016i | ||||
\(199\) | 23.0984i | 1.63741i | 0.574218 | + | 0.818703i | \(0.305306\pi\) | ||||
−0.574218 | + | 0.818703i | \(0.694694\pi\) | |||||||
\(200\) | − | 1.00000i | − | 0.0707107i | ||||||
\(201\) | 1.46090 | + | 3.62132i | 0.103044 | + | 0.255428i | ||||
\(202\) | 2.70318 | 0.190195 | ||||||||
\(203\) | 6.21330 | 0.436088 | ||||||||
\(204\) | 2.32041 | + | 5.75192i | 0.162462 | + | 0.402715i | ||||
\(205\) | 8.16341 | 0.570158 | ||||||||
\(206\) | − | 6.48383i | − | 0.451750i | ||||||
\(207\) | 6.66737 | − | 6.42508i | 0.463414 | − | 0.446574i | ||||
\(208\) | − | 1.29599i | − | 0.0898606i | ||||||
\(209\) | −9.61326 | −0.664963 | ||||||||
\(210\) | −0.514672 | − | 1.27579i | −0.0355158 | − | 0.0880377i | ||||
\(211\) | −10.3491 | −0.712464 | −0.356232 | − | 0.934397i | \(-0.615939\pi\) | ||||
−0.356232 | + | 0.934397i | \(0.615939\pi\) | |||||||
\(212\) | 3.60528 | 0.247611 | ||||||||
\(213\) | 24.1423 | − | 9.73936i | 1.65420 | − | 0.667330i | ||||
\(214\) | −6.80067 | −0.464884 | ||||||||
\(215\) | 5.37138 | 0.366325 | ||||||||
\(216\) | −2.12094 | + | 4.74359i | −0.144312 | + | 0.322760i | ||||
\(217\) | 3.83659 | + | 2.19924i | 0.260444 | + | 0.149294i | ||||
\(218\) | − | 10.9677i | − | 0.742824i | ||||||
\(219\) | −2.21935 | + | 0.895320i | −0.149970 | + | 0.0605001i | ||||
\(220\) | − | 6.29899i | − | 0.424678i | ||||||
\(221\) | − | 4.64083i | − | 0.312176i | ||||||
\(222\) | 4.17278 | + | 10.3436i | 0.280059 | + | 0.694220i | ||||
\(223\) | − | 4.29675i | − | 0.287731i | −0.989597 | − | 0.143866i | \(-0.954047\pi\) | ||
0.989597 | − | 0.143866i | \(-0.0459533\pi\) | |||||||
\(224\) | − | 0.794255i | − | 0.0530684i | ||||||
\(225\) | 2.16021 | − | 2.08171i | 0.144014 | − | 0.138780i | ||||
\(226\) | −0.891745 | −0.0593180 | ||||||||
\(227\) | 15.1275i | 1.00405i | 0.864854 | + | 0.502024i | \(0.167411\pi\) | ||||
−0.864854 | + | 0.502024i | \(0.832589\pi\) | |||||||
\(228\) | −0.988943 | − | 2.45143i | −0.0654943 | − | 0.162350i | ||||
\(229\) | 13.6113i | 0.899458i | 0.893165 | + | 0.449729i | \(0.148480\pi\) | ||||
−0.893165 | + | 0.449729i | \(0.851520\pi\) | |||||||
\(230\) | −3.08645 | −0.203514 | ||||||||
\(231\) | −3.24191 | − | 8.03617i | −0.213302 | − | 0.528741i | ||||
\(232\) | 7.82280i | 0.513592i | ||||||||
\(233\) | − | 7.43508i | − | 0.487089i | −0.969890 | − | 0.243544i | \(-0.921690\pi\) | ||
0.969890 | − | 0.243544i | \(-0.0783101\pi\) | |||||||
\(234\) | 2.79960 | − | 2.69787i | 0.183016 | − | 0.176365i | ||||
\(235\) | 4.73191 | 0.308675 | ||||||||
\(236\) | − | 12.3268i | − | 0.802408i | ||||||
\(237\) | −18.5849 | + | 7.49743i | −1.20722 | + | 0.487011i | ||||
\(238\) | − | 2.84416i | − | 0.184360i | ||||||
\(239\) | −19.2752 | −1.24681 | −0.623406 | − | 0.781898i | \(-0.714252\pi\) | ||||
−0.623406 | + | 0.781898i | \(0.714252\pi\) | |||||||
\(240\) | 1.60627 | − | 0.647994i | 0.103684 | − | 0.0418278i | ||||
\(241\) | 1.24113i | 0.0799480i | 0.999201 | + | 0.0399740i | \(0.0127275\pi\) | ||||
−0.999201 | + | 0.0399740i | \(0.987272\pi\) | |||||||
\(242\) | − | 28.6772i | − | 1.84344i | ||||||
\(243\) | −14.6623 | + | 5.29308i | −0.940588 | + | 0.339551i | ||||
\(244\) | 2.22360i | 0.142351i | ||||||||
\(245\) | − | 6.36916i | − | 0.406911i | ||||||
\(246\) | 5.28984 | + | 13.1126i | 0.337268 | + | 0.836032i | ||||
\(247\) | 1.97789i | 0.125850i | ||||||||
\(248\) | −2.76894 | + | 4.83042i | −0.175828 | + | 0.306732i | ||||
\(249\) | −6.33723 | − | 15.7089i | −0.401605 | − | 0.995513i | ||||
\(250\) | −1.00000 | −0.0632456 | ||||||||
\(251\) | 0.0663448 | 0.00418765 | 0.00209382 | − | 0.999998i | \(-0.499334\pi\) | ||||
0.00209382 | + | 0.999998i | \(0.499334\pi\) | |||||||
\(252\) | 1.71575 | − | 1.65341i | 0.108082 | − | 0.104155i | ||||
\(253\) | −19.4415 | −1.22228 | ||||||||
\(254\) | −6.07116 | −0.380938 | ||||||||
\(255\) | 5.75192 | − | 2.32041i | 0.360199 | − | 0.145310i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 22.4615i | − | 1.40111i | −0.713598 | − | 0.700555i | \(-0.752936\pi\) | ||
0.713598 | − | 0.700555i | \(-0.247064\pi\) | |||||||
\(258\) | 3.48062 | + | 8.62789i | 0.216694 | + | 0.537149i | ||||
\(259\) | − | 5.11463i | − | 0.317808i | ||||||
\(260\) | −1.29599 | −0.0803738 | ||||||||
\(261\) | −16.8989 | + | 16.2848i | −1.04601 | + | 1.00800i | ||||
\(262\) | 8.32683 | 0.514433 | ||||||||
\(263\) | 2.74243 | 0.169105 | 0.0845526 | − | 0.996419i | \(-0.473054\pi\) | ||||
0.0845526 | + | 0.996419i | \(0.473054\pi\) | |||||||
\(264\) | 10.1179 | − | 4.08171i | 0.622712 | − | 0.251212i | ||||
\(265\) | − | 3.60528i | − | 0.221470i | ||||||
\(266\) | 1.21216i | 0.0743223i | ||||||||
\(267\) | 2.64083 | + | 6.54618i | 0.161616 | + | 0.400620i | ||||
\(268\) | 2.25449 | 0.137715 | ||||||||
\(269\) | −11.4441 | −0.697761 | −0.348880 | − | 0.937167i | \(-0.613438\pi\) | ||||
−0.348880 | + | 0.937167i | \(0.613438\pi\) | |||||||
\(270\) | 4.74359 | + | 2.12094i | 0.288685 | + | 0.129076i | ||||
\(271\) | − | 13.5481i | − | 0.822989i | −0.911412 | − | 0.411494i | \(-0.865007\pi\) | ||
0.911412 | − | 0.411494i | \(-0.134993\pi\) | |||||||
\(272\) | 3.58092 | 0.217125 | ||||||||
\(273\) | −1.65341 | + | 0.667009i | −0.100069 | + | 0.0403692i | ||||
\(274\) | − | 8.68407i | − | 0.524624i | ||||||
\(275\) | −6.29899 | −0.379843 | ||||||||
\(276\) | −2.00000 | − | 4.95767i | −0.120386 | − | 0.298417i | ||||
\(277\) | 24.4043i | 1.46631i | 0.680059 | + | 0.733157i | \(0.261954\pi\) | ||||
−0.680059 | + | 0.733157i | \(0.738046\pi\) | |||||||
\(278\) | −5.62515 | −0.337374 | ||||||||
\(279\) | −16.1988 | + | 4.07405i | −0.969799 | + | 0.243907i | ||||
\(280\) | −0.794255 | −0.0474658 | ||||||||
\(281\) | − | 1.71830i | − | 0.102505i | −0.998686 | − | 0.0512526i | \(-0.983679\pi\) | ||
0.998686 | − | 0.0512526i | \(-0.0163214\pi\) | |||||||
\(282\) | 3.06625 | + | 7.60072i | 0.182592 | + | 0.452616i | ||||
\(283\) | 8.16983 | 0.485646 | 0.242823 | − | 0.970071i | \(-0.421927\pi\) | ||||
0.242823 | + | 0.970071i | \(0.421927\pi\) | |||||||
\(284\) | − | 15.0300i | − | 0.891867i | ||||||
\(285\) | −2.45143 | + | 0.988943i | −0.145210 | + | 0.0585799i | ||||
\(286\) | −8.16341 | −0.482713 | ||||||||
\(287\) | − | 6.48383i | − | 0.382728i | ||||||
\(288\) | 2.08171 | + | 2.16021i | 0.122666 | + | 0.127291i | ||||
\(289\) | −4.17702 | −0.245707 | ||||||||
\(290\) | 7.82280 | 0.459371 | ||||||||
\(291\) | 1.77026 | + | 4.38818i | 0.103774 | + | 0.257240i | ||||
\(292\) | 1.38168i | 0.0808566i | ||||||||
\(293\) | 22.0128i | 1.28600i | 0.765865 | + | 0.643002i | \(0.222311\pi\) | ||||
−0.765865 | + | 0.643002i | \(0.777689\pi\) | |||||||
\(294\) | 10.2306 | − | 4.12718i | 0.596660 | − | 0.240702i | ||||
\(295\) | −12.3268 | −0.717696 | ||||||||
\(296\) | 6.43954 | 0.374291 | ||||||||
\(297\) | 29.8798 | + | 13.3598i | 1.73380 | + | 0.775214i | ||||
\(298\) | −15.0300 | −0.870665 | ||||||||
\(299\) | 4.00000i | 0.231326i | ||||||||
\(300\) | −0.647994 | − | 1.60627i | −0.0374120 | − | 0.0927380i | ||||
\(301\) | − | 4.26624i | − | 0.245902i | ||||||
\(302\) | −4.80112 | −0.276273 | ||||||||
\(303\) | 4.34203 | − | 1.75164i | 0.249443 | − | 0.100629i | ||||
\(304\) | −1.52616 | −0.0875313 | ||||||||
\(305\) | 2.22360 | 0.127323 | ||||||||
\(306\) | 7.45442 | + | 7.73553i | 0.426141 | + | 0.442211i | ||||
\(307\) | −30.8507 | −1.76074 | −0.880371 | − | 0.474286i | \(-0.842706\pi\) | ||||
−0.880371 | + | 0.474286i | \(0.842706\pi\) | |||||||
\(308\) | −5.00300 | −0.285072 | ||||||||
\(309\) | −4.20148 | − | 10.4148i | −0.239014 | − | 0.592476i | ||||
\(310\) | 4.83042 | + | 2.76894i | 0.274350 | + | 0.157265i | ||||
\(311\) | 18.0723i | 1.02479i | 0.858750 | + | 0.512394i | \(0.171241\pi\) | ||||
−0.858750 | + | 0.512394i | \(0.828759\pi\) | |||||||
\(312\) | −0.839793 | − | 2.08171i | −0.0475439 | − | 0.117853i | ||||
\(313\) | 20.8296i | 1.17736i | 0.808367 | + | 0.588678i | \(0.200351\pi\) | ||||
−0.808367 | + | 0.588678i | \(0.799649\pi\) | |||||||
\(314\) | − | 19.8207i | − | 1.11855i | ||||||
\(315\) | −1.65341 | − | 1.71575i | −0.0931588 | − | 0.0966718i | ||||
\(316\) | 11.5702i | 0.650876i | ||||||||
\(317\) | − | 2.64083i | − | 0.148324i | −0.997246 | − | 0.0741619i | \(-0.976372\pi\) | ||
0.997246 | − | 0.0741619i | \(-0.0236281\pi\) | |||||||
\(318\) | 5.79105 | − | 2.33620i | 0.324746 | − | 0.131007i | ||||
\(319\) | 49.2757 | 2.75891 | ||||||||
\(320\) | − | 1.00000i | − | 0.0559017i | ||||||
\(321\) | −10.9237 | + | 4.40679i | −0.609702 | + | 0.245963i | ||||
\(322\) | 2.45143i | 0.136613i | ||||||||
\(323\) | −5.46506 | −0.304084 | ||||||||
\(324\) | −0.332991 | + | 8.99384i | −0.0184995 | + | 0.499658i | ||||
\(325\) | 1.29599i | 0.0718885i | ||||||||
\(326\) | 22.7132i | 1.25797i | ||||||||
\(327\) | −7.10698 | − | 17.6170i | −0.393017 | − | 0.974223i | ||||
\(328\) | 8.16341 | 0.450749 | ||||||||
\(329\) | − | 3.75834i | − | 0.207204i | ||||||
\(330\) | −4.08171 | − | 10.1179i | −0.224691 | − | 0.556971i | ||||
\(331\) | − | 21.4711i | − | 1.18016i | −0.807346 | − | 0.590078i | \(-0.799097\pi\) | ||
0.807346 | − | 0.590078i | \(-0.200903\pi\) | |||||||
\(332\) | −9.77976 | −0.536734 | ||||||||
\(333\) | 13.4052 | + | 13.9107i | 0.734602 | + | 0.762304i | ||||
\(334\) | 3.08645i | 0.168883i | ||||||||
\(335\) | − | 2.25449i | − | 0.123176i | ||||||
\(336\) | −0.514672 | − | 1.27579i | −0.0280777 | − | 0.0695999i | ||||
\(337\) | 3.53220i | 0.192411i | 0.995361 | + | 0.0962057i | \(0.0306707\pi\) | ||||
−0.995361 | + | 0.0962057i | \(0.969329\pi\) | |||||||
\(338\) | − | 11.3204i | − | 0.615749i | ||||||
\(339\) | −1.43238 | + | 0.577845i | −0.0777964 | + | 0.0313843i | ||||
\(340\) | − | 3.58092i | − | 0.194203i | ||||||
\(341\) | 30.4268 | + | 17.4415i | 1.64770 | + | 0.944510i | ||||
\(342\) | −3.17702 | − | 3.29682i | −0.171793 | − | 0.178272i | ||||
\(343\) | −10.6185 | −0.573346 | ||||||||
\(344\) | 5.37138 | 0.289605 | ||||||||
\(345\) | −4.95767 | + | 2.00000i | −0.266912 | + | 0.107676i | ||||
\(346\) | 9.50385 | 0.510930 | ||||||||
\(347\) | −24.4043 | −1.31009 | −0.655047 | − | 0.755588i | \(-0.727351\pi\) | ||||
−0.655047 | + | 0.755588i | \(0.727351\pi\) | |||||||
\(348\) | 5.06913 | + | 12.5655i | 0.271734 | + | 0.673583i | ||||
\(349\) | −21.1770 | −1.13358 | −0.566790 | − | 0.823862i | \(-0.691815\pi\) | ||||
−0.566790 | + | 0.823862i | \(0.691815\pi\) | |||||||
\(350\) | 0.794255i | 0.0424547i | ||||||||
\(351\) | 2.74872 | − | 6.14763i | 0.146716 | − | 0.328136i | ||||
\(352\) | − | 6.29899i | − | 0.335737i | ||||||
\(353\) | −27.0512 | −1.43979 | −0.719894 | − | 0.694084i | \(-0.755810\pi\) | ||||
−0.719894 | + | 0.694084i | \(0.755810\pi\) | |||||||
\(354\) | −7.98771 | − | 19.8002i | −0.424542 | − | 1.05237i | ||||
\(355\) | −15.0300 | −0.797710 | ||||||||
\(356\) | 4.07539 | 0.215995 | ||||||||
\(357\) | −1.84300 | − | 4.56849i | −0.0975419 | − | 0.241790i | ||||
\(358\) | 23.1145i | 1.22164i | ||||||||
\(359\) | − | 1.25811i | − | 0.0664003i | −0.999449 | − | 0.0332001i | \(-0.989430\pi\) | ||
0.999449 | − | 0.0332001i | \(-0.0105699\pi\) | |||||||
\(360\) | 2.16021 | − | 2.08171i | 0.113853 | − | 0.109716i | ||||
\(361\) | −16.6708 | −0.877412 | ||||||||
\(362\) | 9.81857 | 0.516053 | ||||||||
\(363\) | −18.5827 | − | 46.0634i | −0.975338 | − | 2.41770i | ||||
\(364\) | 1.02934i | 0.0539523i | ||||||||
\(365\) | 1.38168 | 0.0723204 | ||||||||
\(366\) | 1.44088 | + | 3.57170i | 0.0753159 | + | 0.186696i | ||||
\(367\) | 29.7449i | 1.55267i | 0.630320 | + | 0.776335i | \(0.282924\pi\) | ||||
−0.630320 | + | 0.776335i | \(0.717076\pi\) | |||||||
\(368\) | −3.08645 | −0.160892 | ||||||||
\(369\) | 16.9938 | + | 17.6347i | 0.884664 | + | 0.918024i | ||||
\(370\) | − | 6.43954i | − | 0.334776i | ||||||
\(371\) | −2.86351 | −0.148666 | ||||||||
\(372\) | −1.31757 | + | 9.55322i | −0.0683130 | + | 0.495311i | ||||
\(373\) | −29.8006 | −1.54302 | −0.771509 | − | 0.636218i | \(-0.780498\pi\) | ||||
−0.771509 | + | 0.636218i | \(0.780498\pi\) | |||||||
\(374\) | − | 22.5562i | − | 1.16635i | ||||||
\(375\) | −1.60627 | + | 0.647994i | −0.0829474 | + | 0.0334623i | ||||
\(376\) | 4.73191 | 0.244029 | ||||||||
\(377\) | − | 10.1383i | − | 0.522147i | ||||||
\(378\) | 1.68457 | − | 3.76761i | 0.0866448 | − | 0.193785i | ||||
\(379\) | 33.2321 | 1.70702 | 0.853510 | − | 0.521076i | \(-0.174469\pi\) | ||||
0.853510 | + | 0.521076i | \(0.174469\pi\) | |||||||
\(380\) | 1.52616i | 0.0782904i | ||||||||
\(381\) | −9.75192 | + | 3.93408i | −0.499606 | + | 0.201549i | ||||
\(382\) | 21.0336 | 1.07617 | ||||||||
\(383\) | 15.7961 | 0.807141 | 0.403570 | − | 0.914949i | \(-0.367769\pi\) | ||||
0.403570 | + | 0.914949i | \(0.367769\pi\) | |||||||
\(384\) | 1.60627 | − | 0.647994i | 0.0819696 | − | 0.0330678i | ||||
\(385\) | 5.00300i | 0.254976i | ||||||||
\(386\) | − | 3.20932i | − | 0.163350i | ||||||
\(387\) | 11.1816 | + | 11.6033i | 0.568395 | + | 0.589828i | ||||
\(388\) | 2.73191 | 0.138691 | ||||||||
\(389\) | −16.1854 | −0.820631 | −0.410315 | − | 0.911944i | \(-0.634581\pi\) | ||||
−0.410315 | + | 0.911944i | \(0.634581\pi\) | |||||||
\(390\) | −2.08171 | + | 0.839793i | −0.105411 | + | 0.0425246i | ||||
\(391\) | −11.0523 | −0.558940 | ||||||||
\(392\) | − | 6.36916i | − | 0.321691i | ||||||
\(393\) | 13.3751 | − | 5.39574i | 0.674686 | − | 0.272179i | ||||
\(394\) | − | 24.5350i | − | 1.23605i | ||||||
\(395\) | 11.5702 | 0.582161 | ||||||||
\(396\) | 13.6071 | − | 13.1126i | 0.683783 | − | 0.658935i | ||||
\(397\) | −39.0049 | −1.95760 | −0.978799 | − | 0.204824i | \(-0.934338\pi\) | ||||
−0.978799 | + | 0.204824i | \(0.934338\pi\) | |||||||
\(398\) | 23.0984 | 1.15782 | ||||||||
\(399\) | 0.785472 | + | 1.94706i | 0.0393228 | + | 0.0974747i | ||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −7.02927 | −0.351025 | −0.175513 | − | 0.984477i | \(-0.556158\pi\) | ||||
−0.175513 | + | 0.984477i | \(0.556158\pi\) | |||||||
\(402\) | 3.62132 | − | 1.46090i | 0.180615 | − | 0.0728629i | ||||
\(403\) | 3.58851 | − | 6.26017i | 0.178756 | − | 0.311841i | ||||
\(404\) | − | 2.70318i | − | 0.134488i | ||||||
\(405\) | 8.99384 | + | 0.332991i | 0.446907 | + | 0.0165464i | ||||
\(406\) | − | 6.21330i | − | 0.308361i | ||||||
\(407\) | − | 40.5626i | − | 2.01061i | ||||||
\(408\) | 5.75192 | − | 2.32041i | 0.284763 | − | 0.114878i | ||||
\(409\) | − | 23.6737i | − | 1.17059i | −0.810820 | − | 0.585295i | \(-0.800979\pi\) | ||
0.810820 | − | 0.585295i | \(-0.199021\pi\) | |||||||
\(410\) | − | 8.16341i | − | 0.403162i | ||||||
\(411\) | −5.62723 | − | 13.9490i | −0.277571 | − | 0.688051i | ||||
\(412\) | −6.48383 | −0.319435 | ||||||||
\(413\) | 9.79064i | 0.481766i | ||||||||
\(414\) | −6.42508 | − | 6.66737i | −0.315775 | − | 0.327683i | ||||
\(415\) | 9.77976i | 0.480069i | ||||||||
\(416\) | −1.29599 | −0.0635411 | ||||||||
\(417\) | −9.03551 | + | 3.64506i | −0.442471 | + | 0.178500i | ||||
\(418\) | 9.61326i | 0.470200i | ||||||||
\(419\) | 21.7906i | 1.06454i | 0.846574 | + | 0.532271i | \(0.178661\pi\) | ||||
−0.846574 | + | 0.532271i | \(0.821339\pi\) | |||||||
\(420\) | −1.27579 | + | 0.514672i | −0.0622520 | + | 0.0251134i | ||||
\(421\) | −3.14981 | −0.153512 | −0.0767562 | − | 0.997050i | \(-0.524456\pi\) | ||||
−0.0767562 | + | 0.997050i | \(0.524456\pi\) | |||||||
\(422\) | 10.3491i | 0.503788i | ||||||||
\(423\) | 9.85044 | + | 10.2219i | 0.478945 | + | 0.497006i | ||||
\(424\) | − | 3.60528i | − | 0.175088i | ||||||
\(425\) | −3.58092 | −0.173700 | ||||||||
\(426\) | −9.73936 | − | 24.1423i | −0.471873 | − | 1.16970i | ||||
\(427\) | − | 1.76610i | − | 0.0854677i | ||||||
\(428\) | 6.80067i | 0.328723i | ||||||||
\(429\) | −13.1126 | + | 5.28984i | −0.633085 | + | 0.255396i | ||||
\(430\) | − | 5.37138i | − | 0.259031i | ||||||
\(431\) | − | 12.2481i | − | 0.589969i | −0.955502 | − | 0.294985i | \(-0.904685\pi\) | ||
0.955502 | − | 0.294985i | \(-0.0953145\pi\) | |||||||
\(432\) | 4.74359 | + | 2.12094i | 0.228226 | + | 0.102044i | ||||
\(433\) | − | 38.5936i | − | 1.85469i | −0.374207 | − | 0.927345i | \(-0.622085\pi\) | ||
0.374207 | − | 0.927345i | \(-0.377915\pi\) | |||||||
\(434\) | 2.19924 | − | 3.83659i | 0.105567 | − | 0.184162i | ||||
\(435\) | 12.5655 | − | 5.06913i | 0.602471 | − | 0.243046i | ||||
\(436\) | −10.9677 | −0.525256 | ||||||||
\(437\) | 4.71041 | 0.225330 | ||||||||
\(438\) | 0.895320 | + | 2.21935i | 0.0427800 | + | 0.106045i | ||||
\(439\) | −8.54975 | −0.408057 | −0.204029 | − | 0.978965i | \(-0.565404\pi\) | ||||
−0.204029 | + | 0.978965i | \(0.565404\pi\) | |||||||
\(440\) | −6.29899 | −0.300292 | ||||||||
\(441\) | 13.7587 | − | 13.2587i | 0.655176 | − | 0.631368i | ||||
\(442\) | −4.64083 | −0.220742 | ||||||||
\(443\) | 27.6436i | 1.31339i | 0.754157 | + | 0.656694i | \(0.228046\pi\) | ||||
−0.754157 | + | 0.656694i | \(0.771954\pi\) | |||||||
\(444\) | 10.3436 | − | 4.17278i | 0.490887 | − | 0.198032i | ||||
\(445\) | − | 4.07539i | − | 0.193192i | ||||||
\(446\) | −4.29675 | −0.203457 | ||||||||
\(447\) | −24.1423 | + | 9.73936i | −1.14189 | + | 0.460656i | ||||
\(448\) | −0.794255 | −0.0375250 | ||||||||
\(449\) | 16.7850 | 0.792133 | 0.396067 | − | 0.918222i | \(-0.370375\pi\) | ||||
0.396067 | + | 0.918222i | \(0.370375\pi\) | |||||||
\(450\) | −2.08171 | − | 2.16021i | −0.0981326 | − | 0.101833i | ||||
\(451\) | − | 51.4212i | − | 2.42133i | ||||||
\(452\) | 0.891745i | 0.0419442i | ||||||||
\(453\) | −7.71189 | + | 3.11109i | −0.362336 | + | 0.146172i | ||||
\(454\) | 15.1275 | 0.709969 | ||||||||
\(455\) | 1.02934 | 0.0482564 | ||||||||
\(456\) | −2.45143 | + | 0.988943i | −0.114799 | + | 0.0463115i | ||||
\(457\) | − | 36.7242i | − | 1.71788i | −0.512072 | − | 0.858942i | \(-0.671122\pi\) | ||
0.512072 | − | 0.858942i | \(-0.328878\pi\) | |||||||
\(458\) | 13.6113 | 0.636013 | ||||||||
\(459\) | 16.9864 | + | 7.59492i | 0.792857 | + | 0.354501i | ||||
\(460\) | 3.08645i | 0.143906i | ||||||||
\(461\) | 27.9560 | 1.30204 | 0.651021 | − | 0.759060i | \(-0.274341\pi\) | ||||
0.651021 | + | 0.759060i | \(0.274341\pi\) | |||||||
\(462\) | −8.03617 | + | 3.24191i | −0.373876 | + | 0.150828i | ||||
\(463\) | 19.2543i | 0.894824i | 0.894328 | + | 0.447412i | \(0.147654\pi\) | ||||
−0.894328 | + | 0.447412i | \(0.852346\pi\) | |||||||
\(464\) | 7.82280 | 0.363165 | ||||||||
\(465\) | 9.55322 | + | 1.31757i | 0.443020 | + | 0.0611010i | ||||
\(466\) | −7.43508 | −0.344424 | ||||||||
\(467\) | 11.6732i | 0.540170i | 0.962836 | + | 0.270085i | \(0.0870518\pi\) | ||||
−0.962836 | + | 0.270085i | \(0.912948\pi\) | |||||||
\(468\) | −2.69787 | − | 2.79960i | −0.124709 | − | 0.129412i | ||||
\(469\) | −1.79064 | −0.0826840 | ||||||||
\(470\) | − | 4.73191i | − | 0.218267i | ||||||
\(471\) | −12.8437 | − | 31.8374i | −0.591806 | − | 1.46699i | ||||
\(472\) | −12.3268 | −0.567388 | ||||||||
\(473\) | − | 33.8342i | − | 1.55570i | ||||||
\(474\) | 7.49743 | + | 18.5849i | 0.344368 | + | 0.853632i | ||||
\(475\) | 1.52616 | 0.0700250 | ||||||||
\(476\) | −2.84416 | −0.130362 | ||||||||
\(477\) | 7.78814 | − | 7.50513i | 0.356595 | − | 0.343636i | ||||
\(478\) | 19.2752i | 0.881629i | ||||||||
\(479\) | 36.8802i | 1.68510i | 0.538620 | + | 0.842549i | \(0.318946\pi\) | ||||
−0.538620 | + | 0.842549i | \(0.681054\pi\) | |||||||
\(480\) | −0.647994 | − | 1.60627i | −0.0295767 | − | 0.0733159i | ||||
\(481\) | −8.34557 | −0.380525 | ||||||||
\(482\) | 1.24113 | 0.0565318 | ||||||||
\(483\) | 1.58851 | + | 3.93765i | 0.0722797 | + | 0.179169i | ||||
\(484\) | −28.6772 | −1.30351 | ||||||||
\(485\) | − | 2.73191i | − | 0.124049i | ||||||
\(486\) | 5.29308 | + | 14.6623i | 0.240099 | + | 0.665096i | ||||
\(487\) | 36.6545i | 1.66098i | 0.557037 | + | 0.830488i | \(0.311938\pi\) | ||||
−0.557037 | + | 0.830488i | \(0.688062\pi\) | |||||||
\(488\) | 2.22360 | 0.100658 | ||||||||
\(489\) | 14.7180 | + | 36.4835i | 0.665571 | + | 1.64984i | ||||
\(490\) | −6.36916 | −0.287729 | ||||||||
\(491\) | 15.5310 | 0.700904 | 0.350452 | − | 0.936581i | \(-0.386028\pi\) | ||||
0.350452 | + | 0.936581i | \(0.386028\pi\) | |||||||
\(492\) | 13.1126 | − | 5.28984i | 0.591164 | − | 0.238485i | ||||
\(493\) | 28.0128 | 1.26163 | ||||||||
\(494\) | 1.97789 | 0.0889893 | ||||||||
\(495\) | −13.1126 | − | 13.6071i | −0.589370 | − | 0.611595i | ||||
\(496\) | 4.83042 | + | 2.76894i | 0.216892 | + | 0.124329i | ||||
\(497\) | 11.9377i | 0.535477i | ||||||||
\(498\) | −15.7089 | + | 6.33723i | −0.703934 | + | 0.283978i | ||||
\(499\) | − | 6.93560i | − | 0.310480i | −0.987877 | − | 0.155240i | \(-0.950385\pi\) | ||
0.987877 | − | 0.155240i | \(-0.0496151\pi\) | |||||||
\(500\) | 1.00000i | 0.0447214i | ||||||||
\(501\) | 2.00000 | + | 4.95767i | 0.0893534 | + | 0.221492i | ||||
\(502\) | − | 0.0663448i | − | 0.00296111i | ||||||
\(503\) | 14.1698i | 0.631801i | 0.948792 | + | 0.315901i | \(0.102307\pi\) | ||||
−0.948792 | + | 0.315901i | \(0.897693\pi\) | |||||||
\(504\) | −1.65341 | − | 1.71575i | −0.0736485 | − | 0.0764258i | ||||
\(505\) | −2.70318 | −0.120290 | ||||||||
\(506\) | 19.4415i | 0.864280i | ||||||||
\(507\) | −7.33556 | − | 18.1836i | −0.325784 | − | 0.807564i | ||||
\(508\) | 6.07116i | 0.269364i | ||||||||
\(509\) | −10.7074 | −0.474596 | −0.237298 | − | 0.971437i | \(-0.576262\pi\) | ||||
−0.237298 | + | 0.971437i | \(0.576262\pi\) | |||||||
\(510\) | −2.32041 | − | 5.75192i | −0.102750 | − | 0.254699i | ||||
\(511\) | − | 1.09740i | − | 0.0485463i | ||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −7.23947 | − | 3.23690i | −0.319630 | − | 0.142913i | ||||
\(514\) | −22.4615 | −0.990735 | ||||||||
\(515\) | 6.48383i | 0.285712i | ||||||||
\(516\) | 8.62789 | − | 3.48062i | 0.379821 | − | 0.153226i | ||||
\(517\) | − | 29.8062i | − | 1.31088i | ||||||
\(518\) | −5.11463 | −0.224724 | ||||||||
\(519\) | 15.2657 | − | 6.15844i | 0.670092 | − | 0.270325i | ||||
\(520\) | 1.29599i | 0.0568328i | ||||||||
\(521\) | 25.3540i | 1.11078i | 0.831590 | + | 0.555389i | \(0.187431\pi\) | ||||
−0.831590 | + | 0.555389i | \(0.812569\pi\) | |||||||
\(522\) | 16.2848 | + | 16.8989i | 0.712766 | + | 0.739644i | ||||
\(523\) | − | 22.4584i | − | 0.982038i | −0.871149 | − | 0.491019i | \(-0.836625\pi\) | ||
0.871149 | − | 0.491019i | \(-0.163375\pi\) | |||||||
\(524\) | − | 8.32683i | − | 0.363759i | ||||||
\(525\) | 0.514672 | + | 1.27579i | 0.0224621 | + | 0.0556799i | ||||
\(526\) | − | 2.74243i | − | 0.119575i | ||||||
\(527\) | 17.2974 | + | 9.91534i | 0.753485 | + | 0.431919i | ||||
\(528\) | −4.08171 | − | 10.1179i | −0.177634 | − | 0.440324i | ||||
\(529\) | −13.4738 | −0.585819 | ||||||||
\(530\) | −3.60528 | −0.156603 | ||||||||
\(531\) | −25.6608 | − | 26.6285i | −1.11359 | − | 1.15558i | ||||
\(532\) | 1.21216 | 0.0525538 | ||||||||
\(533\) | −10.5797 | −0.458257 | ||||||||
\(534\) | 6.54618 | − | 2.64083i | 0.283281 | − | 0.114280i | ||||
\(535\) | 6.80067 | 0.294019 | ||||||||
\(536\) | − | 2.25449i | − | 0.0973792i | ||||||
\(537\) | 14.9781 | + | 37.1281i | 0.646351 | + | 1.60220i | ||||
\(538\) | 11.4441i | 0.493391i | ||||||||
\(539\) | −40.1193 | −1.72806 | ||||||||
\(540\) | 2.12094 | − | 4.74359i | 0.0912708 | − | 0.204131i | ||||
\(541\) | −11.0924 | −0.476898 | −0.238449 | − | 0.971155i | \(-0.576639\pi\) | ||||
−0.238449 | + | 0.971155i | \(0.576639\pi\) | |||||||
\(542\) | −13.5481 | −0.581941 | ||||||||
\(543\) | 15.7713 | − | 6.36238i | 0.676810 | − | 0.273036i | ||||
\(544\) | − | 3.58092i | − | 0.153531i | ||||||
\(545\) | 10.9677i | 0.469803i | ||||||||
\(546\) | 0.667009 | + | 1.65341i | 0.0285454 | + | 0.0707592i | ||||
\(547\) | −21.5762 | −0.922531 | −0.461266 | − | 0.887262i | \(-0.652604\pi\) | ||||
−0.461266 | + | 0.887262i | \(0.652604\pi\) | |||||||
\(548\) | −8.68407 | −0.370965 | ||||||||
\(549\) | 4.62888 | + | 4.80343i | 0.197556 | + | 0.205005i | ||||
\(550\) | 6.29899i | 0.268590i | ||||||||
\(551\) | −11.9389 | −0.508612 | ||||||||
\(552\) | −4.95767 | + | 2.00000i | −0.211012 | + | 0.0851257i | ||||
\(553\) | − | 9.18970i | − | 0.390786i | ||||||
\(554\) | 24.4043 | 1.03684 | ||||||||
\(555\) | −4.17278 | − | 10.3436i | −0.177125 | − | 0.439063i | ||||
\(556\) | 5.62515i | 0.238559i | ||||||||
\(557\) | −36.2557 | −1.53620 | −0.768101 | − | 0.640329i | \(-0.778798\pi\) | ||||
−0.768101 | + | 0.640329i | \(0.778798\pi\) | |||||||
\(558\) | 4.07405 | + | 16.1988i | 0.172468 | + | 0.685751i | ||||
\(559\) | −6.96124 | −0.294429 | ||||||||
\(560\) | 0.794255i | 0.0335634i | ||||||||
\(561\) | −14.6163 | − | 36.2313i | −0.617099 | − | 1.52969i | ||||
\(562\) | −1.71830 | −0.0724822 | ||||||||
\(563\) | − | 16.0128i | − | 0.674860i | −0.941351 | − | 0.337430i | \(-0.890442\pi\) | ||
0.941351 | − | 0.337430i | \(-0.109558\pi\) | |||||||
\(564\) | 7.60072 | − | 3.06625i | 0.320048 | − | 0.129112i | ||||
\(565\) | 0.891745 | 0.0375160 | ||||||||
\(566\) | − | 8.16983i | − | 0.343403i | ||||||
\(567\) | 0.264479 | − | 7.14340i | 0.0111071 | − | 0.299994i | ||||
\(568\) | −15.0300 | −0.630645 | ||||||||
\(569\) | 20.8684 | 0.874848 | 0.437424 | − | 0.899255i | \(-0.355891\pi\) | ||||
0.437424 | + | 0.899255i | \(0.355891\pi\) | |||||||
\(570\) | 0.988943 | + | 2.45143i | 0.0414223 | + | 0.102679i | ||||
\(571\) | − | 9.02320i | − | 0.377609i | −0.982015 | − | 0.188805i | \(-0.939539\pi\) | ||
0.982015 | − | 0.188805i | \(-0.0604613\pi\) | |||||||
\(572\) | 8.16341i | 0.341329i | ||||||||
\(573\) | 33.7856 | − | 13.6296i | 1.41141 | − | 0.569386i | ||||
\(574\) | −6.48383 | −0.270630 | ||||||||
\(575\) | 3.08645 | 0.128714 | ||||||||
\(576\) | 2.16021 | − | 2.08171i | 0.0900086 | − | 0.0867378i | ||||
\(577\) | 22.4179 | 0.933270 | 0.466635 | − | 0.884450i | \(-0.345466\pi\) | ||||
0.466635 | + | 0.884450i | \(0.345466\pi\) | |||||||
\(578\) | 4.17702i | 0.173741i | ||||||||
\(579\) | −2.07962 | − | 5.15504i | −0.0864261 | − | 0.214236i | ||||
\(580\) | − | 7.82280i | − | 0.324824i | ||||||
\(581\) | 7.76762 | 0.322255 | ||||||||
\(582\) | 4.38818 | − | 1.77026i | 0.181896 | − | 0.0733796i | ||||
\(583\) | −22.7096 | −0.940535 | ||||||||
\(584\) | 1.38168 | 0.0571743 | ||||||||
\(585\) | −2.79960 | + | 2.69787i | −0.115749 | + | 0.111543i | ||||
\(586\) | 22.0128 | 0.909342 | ||||||||
\(587\) | −39.3627 | −1.62467 | −0.812336 | − | 0.583189i | \(-0.801805\pi\) | ||||
−0.812336 | + | 0.583189i | \(0.801805\pi\) | |||||||
\(588\) | −4.12718 | − | 10.2306i | −0.170202 | − | 0.421902i | ||||
\(589\) | −7.37200 | − | 4.22584i | −0.303758 | − | 0.174123i | ||||
\(590\) | 12.3268i | 0.507487i | ||||||||
\(591\) | −15.8985 | − | 39.4098i | −0.653978 | − | 1.62110i | ||||
\(592\) | − | 6.43954i | − | 0.264663i | ||||||
\(593\) | − | 44.4651i | − | 1.82596i | −0.408002 | − | 0.912981i | \(-0.633774\pi\) | ||
0.408002 | − | 0.912981i | \(-0.366226\pi\) | |||||||
\(594\) | 13.3598 | − | 29.8798i | 0.548159 | − | 1.22598i | ||||
\(595\) | 2.84416i | 0.116599i | ||||||||
\(596\) | 15.0300i | 0.615653i | ||||||||
\(597\) | 37.1023 | − | 14.9677i | 1.51850 | − | 0.612585i | ||||
\(598\) | 4.00000 | 0.163572 | ||||||||
\(599\) | − | 23.7096i | − | 0.968746i | −0.874862 | − | 0.484373i | \(-0.839048\pi\) | ||
0.874862 | − | 0.484373i | \(-0.160952\pi\) | |||||||
\(600\) | −1.60627 | + | 0.647994i | −0.0655757 | + | 0.0264542i | ||||
\(601\) | 7.38511i | 0.301245i | 0.988591 | + | 0.150622i | \(0.0481278\pi\) | ||||
−0.988591 | + | 0.150622i | \(0.951872\pi\) | |||||||
\(602\) | −4.26624 | −0.173879 | ||||||||
\(603\) | 4.87017 | − | 4.69319i | 0.198329 | − | 0.191121i | ||||
\(604\) | 4.80112i | 0.195355i | ||||||||
\(605\) | 28.6772i | 1.16590i | ||||||||
\(606\) | −1.75164 | − | 4.34203i | −0.0711557 | − | 0.176383i | ||||
\(607\) | 29.5461 | 1.19924 | 0.599620 | − | 0.800285i | \(-0.295318\pi\) | ||||
0.599620 | + | 0.800285i | \(0.295318\pi\) | |||||||
\(608\) | 1.52616i | 0.0618940i | ||||||||
\(609\) | −4.02618 | − | 9.98023i | −0.163149 | − | 0.404419i | ||||
\(610\) | − | 2.22360i | − | 0.0900308i | ||||||
\(611\) | −6.13249 | −0.248094 | ||||||||
\(612\) | 7.73553 | − | 7.45442i | 0.312690 | − | 0.301327i | ||||
\(613\) | 11.5459i | 0.466333i | 0.972437 | + | 0.233166i | \(0.0749087\pi\) | ||||
−0.972437 | + | 0.233166i | \(0.925091\pi\) | |||||||
\(614\) | 30.8507i | 1.24503i | ||||||||
\(615\) | −5.28984 | − | 13.1126i | −0.213307 | − | 0.528753i | ||||
\(616\) | 5.00300i | 0.201577i | ||||||||
\(617\) | − | 21.5662i | − | 0.868222i | −0.900859 | − | 0.434111i | \(-0.857062\pi\) | ||
0.900859 | − | 0.434111i | \(-0.142938\pi\) | |||||||
\(618\) | −10.4148 | + | 4.20148i | −0.418944 | + | 0.169008i | ||||
\(619\) | 4.82819i | 0.194061i | 0.995281 | + | 0.0970307i | \(0.0309345\pi\) | ||||
−0.995281 | + | 0.0970307i | \(0.969065\pi\) | |||||||
\(620\) | 2.76894 | − | 4.83042i | 0.111203 | − | 0.193994i | ||||
\(621\) | −14.6408 | − | 6.54618i | −0.587516 | − | 0.262689i | ||||
\(622\) | 18.0723 | 0.724635 | ||||||||
\(623\) | −3.23690 | −0.129684 | ||||||||
\(624\) | −2.08171 | + | 0.839793i | −0.0833350 | + | 0.0336186i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 20.8296 | 0.832517 | ||||||||
\(627\) | 6.22934 | + | 15.4415i | 0.248776 | + | 0.616674i | ||||
\(628\) | −19.8207 | −0.790931 | ||||||||
\(629\) | − | 23.0595i | − | 0.919441i | ||||||
\(630\) | −1.71575 | + | 1.65341i | −0.0683573 | + | 0.0658732i | ||||
\(631\) | 24.1393i | 0.960969i | 0.877003 | + | 0.480485i | \(0.159539\pi\) | ||||
−0.877003 | + | 0.480485i | \(0.840461\pi\) | |||||||
\(632\) | 11.5702 | 0.460239 | ||||||||
\(633\) | 6.70618 | + | 16.6235i | 0.266547 | + | 0.660725i | ||||
\(634\) | −2.64083 | −0.104881 | ||||||||
\(635\) | 6.07116 | 0.240927 | ||||||||
\(636\) | −2.33620 | − | 5.79105i | −0.0926363 | − | 0.229630i | ||||
\(637\) | 8.25436i | 0.327049i | ||||||||
\(638\) | − | 49.2757i | − | 1.95085i | ||||||
\(639\) | −31.2881 | − | 32.4679i | −1.23774 | − | 1.28441i | ||||
\(640\) | −1.00000 | −0.0395285 | ||||||||
\(641\) | 11.4554 | 0.452462 | 0.226231 | − | 0.974074i | \(-0.427360\pi\) | ||||
0.226231 | + | 0.974074i | \(0.427360\pi\) | |||||||
\(642\) | 4.40679 | + | 10.9237i | 0.173922 | + | 0.431124i | ||||
\(643\) | − | 14.1156i | − | 0.556667i | −0.960485 | − | 0.278333i | \(-0.910218\pi\) | ||
0.960485 | − | 0.278333i | \(-0.0897820\pi\) | |||||||
\(644\) | 2.45143 | 0.0965997 | ||||||||
\(645\) | −3.48062 | − | 8.62789i | −0.137049 | − | 0.339723i | ||||
\(646\) | 5.46506i | 0.215020i | ||||||||
\(647\) | 19.0908 | 0.750536 | 0.375268 | − | 0.926916i | \(-0.377551\pi\) | ||||
0.375268 | + | 0.926916i | \(0.377551\pi\) | |||||||
\(648\) | 8.99384 | + | 0.332991i | 0.353311 | + | 0.0130811i | ||||
\(649\) | 77.6465i | 3.04789i | ||||||||
\(650\) | 1.29599 | 0.0508328 | ||||||||
\(651\) | 1.04649 | − | 7.58769i | 0.0410151 | − | 0.297385i | ||||
\(652\) | 22.7132 | 0.889516 | ||||||||
\(653\) | 0.725491i | 0.0283907i | 0.999899 | + | 0.0141953i | \(0.00451867\pi\) | ||||
−0.999899 | + | 0.0141953i | \(0.995481\pi\) | |||||||
\(654\) | −17.6170 | + | 7.10698i | −0.688880 | + | 0.277905i | ||||
\(655\) | −8.32683 | −0.325356 | ||||||||
\(656\) | − | 8.16341i | − | 0.318728i | ||||||
\(657\) | 2.87625 | + | 2.98471i | 0.112213 | + | 0.116445i | ||||
\(658\) | −3.75834 | −0.146515 | ||||||||
\(659\) | − | 18.6136i | − | 0.725084i | −0.931967 | − | 0.362542i | \(-0.881909\pi\) | ||
0.931967 | − | 0.362542i | \(-0.118091\pi\) | |||||||
\(660\) | −10.1179 | + | 4.08171i | −0.393838 | + | 0.158880i | ||||
\(661\) | −10.9605 | −0.426314 | −0.213157 | − | 0.977018i | \(-0.568375\pi\) | ||||
−0.213157 | + | 0.977018i | \(0.568375\pi\) | |||||||
\(662\) | −21.4711 | −0.834496 | ||||||||
\(663\) | −7.45442 | + | 3.00723i | −0.289506 | + | 0.116791i | ||||
\(664\) | 9.77976i | 0.379528i | ||||||||
\(665\) | − | 1.21216i | − | 0.0470055i | ||||||
\(666\) | 13.9107 | − | 13.4052i | 0.539030 | − | 0.519442i | ||||
\(667\) | −24.1447 | −0.934886 | ||||||||
\(668\) | 3.08645 | 0.119418 | ||||||||
\(669\) | −6.90173 | + | 2.78427i | −0.266836 | + | 0.107646i | ||||
\(670\) | −2.25449 | −0.0870986 | ||||||||
\(671\) | − | 14.0064i | − | 0.540712i | ||||||
\(672\) | −1.27579 | + | 0.514672i | −0.0492146 | + | 0.0198539i | ||||
\(673\) | − | 23.7514i | − | 0.915547i | −0.889069 | − | 0.457774i | \(-0.848647\pi\) | ||
0.889069 | − | 0.457774i | \(-0.151353\pi\) | |||||||
\(674\) | 3.53220 | 0.136055 | ||||||||
\(675\) | −4.74359 | − | 2.12094i | −0.182581 | − | 0.0816351i | ||||
\(676\) | −11.3204 | −0.435401 | ||||||||
\(677\) | 25.3141 | 0.972898 | 0.486449 | − | 0.873709i | \(-0.338292\pi\) | ||||
0.486449 | + | 0.873709i | \(0.338292\pi\) | |||||||
\(678\) | 0.577845 | + | 1.43238i | 0.0221920 | + | 0.0550103i | ||||
\(679\) | −2.16983 | −0.0832704 | ||||||||
\(680\) | −3.58092 | −0.137322 | ||||||||
\(681\) | 24.2988 | − | 9.80253i | 0.931134 | − | 0.375634i | ||||
\(682\) | 17.4415 | − | 30.4268i | 0.667869 | − | 1.16510i | ||||
\(683\) | 37.8027i | 1.44648i | 0.690597 | + | 0.723240i | \(0.257348\pi\) | ||||
−0.690597 | + | 0.723240i | \(0.742652\pi\) | |||||||
\(684\) | −3.29682 | + | 3.17702i | −0.126057 | + | 0.121476i | ||||
\(685\) | 8.68407i | 0.331801i | ||||||||
\(686\) | 10.6185i | 0.405417i | ||||||||
\(687\) | 21.8634 | − | 8.82003i | 0.834140 | − | 0.336505i | ||||
\(688\) | − | 5.37138i | − | 0.204782i | ||||||
\(689\) | 4.67240i | 0.178004i | ||||||||
\(690\) | 2.00000 | + | 4.95767i | 0.0761387 | + | 0.188735i | ||||
\(691\) | −0.703178 | −0.0267502 | −0.0133751 | − | 0.999911i | \(-0.504258\pi\) | ||||
−0.0133751 | + | 0.999911i | \(0.504258\pi\) | |||||||
\(692\) | − | 9.50385i | − | 0.361282i | ||||||
\(693\) | −10.8075 | + | 10.4148i | −0.410544 | + | 0.395625i | ||||
\(694\) | 24.4043i | 0.926376i | ||||||||
\(695\) | 5.62515 | 0.213374 | ||||||||
\(696\) | 12.5655 | − | 5.06913i | 0.476295 | − | 0.192145i | ||||
\(697\) | − | 29.2325i | − | 1.10726i | ||||||
\(698\) | 21.1770i | 0.801562i | ||||||||
\(699\) | −11.9428 | + | 4.81789i | −0.451716 | + | 0.182229i | ||||
\(700\) | 0.794255 | 0.0300200 | ||||||||
\(701\) | 0.102385i | 0.00386702i | 0.999998 | + | 0.00193351i | \(0.000615456\pi\) | ||||
−0.999998 | + | 0.00193351i | \(0.999385\pi\) | |||||||
\(702\) | −6.14763 | − | 2.74872i | −0.232027 | − | 0.103744i | ||||
\(703\) | 9.82777i | 0.370661i | ||||||||
\(704\) | −6.29899 | −0.237402 | ||||||||
\(705\) | −3.06625 | − | 7.60072i | −0.115482 | − | 0.286260i | ||||
\(706\) | 27.0512i | 1.01808i | ||||||||
\(707\) | 2.14701i | 0.0807467i | ||||||||
\(708\) | −19.8002 | + | 7.98771i | −0.744138 | + | 0.300197i | ||||
\(709\) | − | 2.82812i | − | 0.106212i | −0.998589 | − | 0.0531061i | \(-0.983088\pi\) | ||
0.998589 | − | 0.0531061i | \(-0.0169121\pi\) | |||||||
\(710\) | 15.0300i | 0.564066i | ||||||||
\(711\) | 24.0858 | + | 24.9941i | 0.903288 | + | 0.937351i | ||||
\(712\) | − | 4.07539i | − | 0.152732i | ||||||
\(713\) | −14.9088 | − | 8.54618i | −0.558341 | − | 0.320057i | ||||
\(714\) | −4.56849 | + | 1.84300i | −0.170971 | + | 0.0689725i | ||||
\(715\) | 8.16341 | 0.305294 | ||||||||
\(716\) | 23.1145 | 0.863829 | ||||||||
\(717\) | 12.4902 | + | 30.9612i | 0.466457 | + | 1.15627i | ||||
\(718\) | −1.25811 | −0.0469521 | ||||||||
\(719\) | 39.6781 | 1.47974 | 0.739871 | − | 0.672749i | \(-0.234886\pi\) | ||||
0.739871 | + | 0.672749i | \(0.234886\pi\) | |||||||
\(720\) | −2.08171 | − | 2.16021i | −0.0775806 | − | 0.0805062i | ||||
\(721\) | 5.14981 | 0.191789 | ||||||||
\(722\) | 16.6708i | 0.620424i | ||||||||
\(723\) | 1.99359 | − | 0.804243i | 0.0741423 | − | 0.0299101i | ||||
\(724\) | − | 9.81857i | − | 0.364904i | ||||||
\(725\) | −7.82280 | −0.290532 | ||||||||
\(726\) | −46.0634 | + | 18.5827i | −1.70957 | + | 0.689668i | ||||
\(727\) | −43.5862 | −1.61652 | −0.808261 | − | 0.588825i | \(-0.799591\pi\) | ||||
−0.808261 | + | 0.588825i | \(0.799591\pi\) | |||||||
\(728\) | 1.02934 | 0.0381500 | ||||||||
\(729\) | 18.0032 | + | 20.1217i | 0.666785 | + | 0.745250i | ||||
\(730\) | − | 1.38168i | − | 0.0511382i | ||||||
\(731\) | − | 19.2345i | − | 0.711413i | ||||||
\(732\) | 3.57170 | − | 1.44088i | 0.132014 | − | 0.0532564i | ||||
\(733\) | −13.3668 | −0.493715 | −0.246857 | − | 0.969052i | \(-0.579398\pi\) | ||||
−0.246857 | + | 0.969052i | \(0.579398\pi\) | |||||||
\(734\) | 29.7449 | 1.09790 | ||||||||
\(735\) | −10.2306 | + | 4.12718i | −0.377361 | + | 0.152233i | ||||
\(736\) | 3.08645i | 0.113768i | ||||||||
\(737\) | −14.2010 | −0.523101 | ||||||||
\(738\) | 17.6347 | − | 16.9938i | 0.649141 | − | 0.625552i | ||||
\(739\) | 42.2685i | 1.55487i | 0.628961 | + | 0.777436i | \(0.283480\pi\) | ||||
−0.628961 | + | 0.777436i | \(0.716520\pi\) | |||||||
\(740\) | −6.43954 | −0.236722 | ||||||||
\(741\) | 3.17702 | − | 1.28166i | 0.116711 | − | 0.0470829i | ||||
\(742\) | 2.86351i | 0.105123i | ||||||||
\(743\) | 42.1504 | 1.54635 | 0.773174 | − | 0.634193i | \(-0.218668\pi\) | ||||
0.773174 | + | 0.634193i | \(0.218668\pi\) | |||||||
\(744\) | 9.55322 | + | 1.31757i | 0.350238 | + | 0.0483046i | ||||
\(745\) | 15.0300 | 0.550657 | ||||||||
\(746\) | 29.8006i | 1.09108i | ||||||||
\(747\) | −21.1263 | + | 20.3586i | −0.772971 | + | 0.744882i | ||||
\(748\) | −22.5562 | −0.824735 | ||||||||
\(749\) | − | 5.40146i | − | 0.197365i | ||||||
\(750\) | 0.647994 | + | 1.60627i | 0.0236614 | + | 0.0586527i | ||||
\(751\) | 44.3804 | 1.61946 | 0.809732 | − | 0.586799i | \(-0.199612\pi\) | ||||
0.809732 | + | 0.586799i | \(0.199612\pi\) | |||||||
\(752\) | − | 4.73191i | − | 0.172555i | ||||||
\(753\) | −0.0429910 | − | 0.106568i | −0.00156668 | − | 0.00388354i | ||||
\(754\) | −10.1383 | −0.369214 | ||||||||
\(755\) | 4.80112 | 0.174730 | ||||||||
\(756\) | −3.76761 | − | 1.68457i | −0.137027 | − | 0.0612671i | ||||
\(757\) | 14.4419i | 0.524900i | 0.964946 | + | 0.262450i | \(0.0845305\pi\) | ||||
−0.964946 | + | 0.262450i | \(0.915470\pi\) | |||||||
\(758\) | − | 33.2321i | − | 1.20705i | ||||||
\(759\) | 12.5980 | + | 31.2283i | 0.457278 | + | 1.13352i | ||||
\(760\) | 1.52616 | 0.0553596 | ||||||||
\(761\) | 1.05668 | 0.0383045 | 0.0191522 | − | 0.999817i | \(-0.493903\pi\) | ||||
0.0191522 | + | 0.999817i | \(0.493903\pi\) | |||||||
\(762\) | 3.93408 | + | 9.75192i | 0.142517 | + | 0.353275i | ||||
\(763\) | 8.71111 | 0.315363 | ||||||||
\(764\) | − | 21.0336i | − | 0.760968i | ||||||
\(765\) | −7.45442 | − | 7.73553i | −0.269515 | − | 0.279679i | ||||
\(766\) | − | 15.7961i | − | 0.570735i | ||||||
\(767\) | 15.9754 | 0.576839 | ||||||||
\(768\) | −0.647994 | − | 1.60627i | −0.0233825 | − | 0.0579613i | ||||
\(769\) | 17.2930 | 0.623600 | 0.311800 | − | 0.950148i | \(-0.399068\pi\) | ||||
0.311800 | + | 0.950148i | \(0.399068\pi\) | |||||||
\(770\) | 5.00300 | 0.180296 | ||||||||
\(771\) | −36.0793 | + | 14.5549i | −1.29936 | + | 0.524183i | ||||
\(772\) | −3.20932 | −0.115506 | ||||||||
\(773\) | 24.1216 | 0.867595 | 0.433798 | − | 0.901010i | \(-0.357173\pi\) | ||||
0.433798 | + | 0.901010i | \(0.357173\pi\) | |||||||
\(774\) | 11.6033 | − | 11.1816i | 0.417072 | − | 0.401916i | ||||
\(775\) | −4.83042 | − | 2.76894i | −0.173514 | − | 0.0994631i | ||||
\(776\) | − | 2.73191i | − | 0.0980697i | ||||||
\(777\) | −8.21548 | + | 3.31425i | −0.294729 | + | 0.118898i | ||||
\(778\) | 16.1854i | 0.580274i | ||||||||
\(779\) | 12.4587i | 0.446378i | ||||||||
\(780\) | 0.839793 | + | 2.08171i | 0.0300694 | + | 0.0745371i | ||||
\(781\) | 94.6738i | 3.38770i | ||||||||
\(782\) | 11.0523i | 0.395230i | ||||||||
\(783\) | 37.1081 | + | 16.5917i | 1.32614 | + | 0.592940i | ||||
\(784\) | −6.36916 | −0.227470 | ||||||||
\(785\) | 19.8207i | 0.707431i | ||||||||
\(786\) | −5.39574 | − | 13.3751i | −0.192460 | − | 0.477075i | ||||
\(787\) | 46.7835i | 1.66765i | 0.552029 | + | 0.833825i | \(0.313854\pi\) | ||||
−0.552029 | + | 0.833825i | \(0.686146\pi\) | |||||||
\(788\) | −24.5350 | −0.874023 | ||||||||
\(789\) | −1.77708 | − | 4.40508i | −0.0632656 | − | 0.156825i | ||||
\(790\) | − | 11.5702i | − | 0.411650i | ||||||
\(791\) | − | 0.708272i | − | 0.0251833i | ||||||
\(792\) | −13.1126 | − | 13.6071i | −0.465938 | − | 0.483508i | ||||
\(793\) | −2.88176 | −0.102334 | ||||||||
\(794\) | 39.0049i | 1.38423i | ||||||||
\(795\) | −5.79105 | + | 2.33620i | −0.205387 | + | 0.0828564i | ||||
\(796\) | − | 23.0984i | − | 0.818703i | ||||||
\(797\) | −7.31843 | −0.259232 | −0.129616 | − | 0.991564i | \(-0.541374\pi\) | ||||
−0.129616 | + | 0.991564i | \(0.541374\pi\) | |||||||
\(798\) | 1.94706 | − | 0.785472i | 0.0689250 | − | 0.0278054i | ||||
\(799\) | − | 16.9446i | − | 0.599456i | ||||||
\(800\) | 1.00000i | 0.0353553i | ||||||||
\(801\) | 8.80369 | − | 8.48377i | 0.311063 | − | 0.299759i | ||||
\(802\) | 7.02927i | 0.248212i | ||||||||
\(803\) | − | 8.70318i | − | 0.307128i | ||||||
\(804\) | −1.46090 | − | 3.62132i | −0.0515219 | − | 0.127714i | ||||
\(805\) | − | 2.45143i | − | 0.0864014i | ||||||
\(806\) | −6.26017 | − | 3.58851i | −0.220505 | − | 0.126400i | ||||
\(807\) | 7.41573 | + | 18.3824i | 0.261046 | + | 0.647090i | ||||
\(808\) | −2.70318 | −0.0950975 | ||||||||
\(809\) | 27.5875 | 0.969925 | 0.484963 | − | 0.874535i | \(-0.338833\pi\) | ||||
0.484963 | + | 0.874535i | \(0.338833\pi\) | |||||||
\(810\) | 0.332991 | − | 8.99384i | 0.0117001 | − | 0.316011i | ||||
\(811\) | −25.5390 | −0.896795 | −0.448398 | − | 0.893834i | \(-0.648005\pi\) | ||||
−0.448398 | + | 0.893834i | \(0.648005\pi\) | |||||||
\(812\) | −6.21330 | −0.218044 | ||||||||
\(813\) | −21.7619 | + | 8.77909i | −0.763224 | + | 0.307896i | ||||
\(814\) | −40.5626 | −1.42172 | ||||||||
\(815\) | − | 22.7132i | − | 0.795608i | ||||||
\(816\) | −2.32041 | − | 5.75192i | −0.0812308 | − | 0.201358i | ||||
\(817\) | 8.19758i | 0.286797i | ||||||||
\(818\) | −23.6737 | −0.827732 | ||||||||
\(819\) | 2.14279 | + | 2.22360i | 0.0748753 | + | 0.0776988i | ||||
\(820\) | −8.16341 | −0.285079 | ||||||||
\(821\) | 24.0504 | 0.839365 | 0.419683 | − | 0.907671i | \(-0.362141\pi\) | ||||
0.419683 | + | 0.907671i | \(0.362141\pi\) | |||||||
\(822\) | −13.9490 | + | 5.62723i | −0.486526 | + | 0.196272i | ||||
\(823\) | − | 7.84558i | − | 0.273480i | −0.990607 | − | 0.136740i | \(-0.956338\pi\) | ||
0.990607 | − | 0.136740i | \(-0.0436624\pi\) | |||||||
\(824\) | 6.48383i | 0.225875i | ||||||||
\(825\) | 4.08171 | + | 10.1179i | 0.142107 | + | 0.352259i | ||||
\(826\) | 9.79064 | 0.340660 | ||||||||
\(827\) | −45.8205 | −1.59334 | −0.796668 | − | 0.604417i | \(-0.793406\pi\) | ||||
−0.796668 | + | 0.604417i | \(0.793406\pi\) | |||||||
\(828\) | −6.66737 | + | 6.42508i | −0.231707 | + | 0.223287i | ||||
\(829\) | − | 9.33400i | − | 0.324183i | −0.986776 | − | 0.162092i | \(-0.948176\pi\) | ||
0.986776 | − | 0.162092i | \(-0.0518240\pi\) | |||||||
\(830\) | 9.77976 | 0.339460 | ||||||||
\(831\) | 39.2000 | − | 15.8139i | 1.35983 | − | 0.548577i | ||||
\(832\) | 1.29599i | 0.0449303i | ||||||||
\(833\) | −22.8074 | −0.790231 | ||||||||
\(834\) | 3.64506 | + | 9.03551i | 0.126218 | + | 0.312874i | ||||
\(835\) | − | 3.08645i | − | 0.106811i | ||||||
\(836\) | 9.61326 | 0.332482 | ||||||||
\(837\) | 17.0408 | + | 23.3797i | 0.589015 | + | 0.808122i | ||||
\(838\) | 21.7906 | 0.752745 | ||||||||
\(839\) | 23.8271i | 0.822603i | 0.911499 | + | 0.411301i | \(0.134926\pi\) | ||||
−0.911499 | + | 0.411301i | \(0.865074\pi\) | |||||||
\(840\) | 0.514672 | + | 1.27579i | 0.0177579 | + | 0.0440188i | ||||
\(841\) | 32.1963 | 1.11022 | ||||||||
\(842\) | 3.14981i | 0.108550i | ||||||||
\(843\) | −2.76006 | + | 1.11345i | −0.0950614 | + | 0.0383492i | ||||
\(844\) | 10.3491 | 0.356232 | ||||||||
\(845\) | 11.3204i | 0.389434i | ||||||||
\(846\) | 10.2219 | − | 9.85044i | 0.351436 | − | 0.338665i | ||||
\(847\) | 22.7770 | 0.782628 | ||||||||
\(848\) | −3.60528 | −0.123806 | ||||||||
\(849\) | −5.29400 | − | 13.1230i | −0.181690 | − | 0.450379i | ||||
\(850\) | 3.58092i | 0.122825i | ||||||||
\(851\) | 19.8753i | 0.681317i | ||||||||
\(852\) | −24.1423 | + | 9.73936i | −0.827100 | + | 0.333665i | ||||
\(853\) | 39.6514 | 1.35764 | 0.678818 | − | 0.734306i | \(-0.262492\pi\) | ||||
0.678818 | + | 0.734306i | \(0.262492\pi\) | |||||||
\(854\) | −1.76610 | −0.0604348 | ||||||||
\(855\) | 3.17702 | + | 3.29682i | 0.108652 | + | 0.112749i | ||||
\(856\) | 6.80067 | 0.232442 | ||||||||
\(857\) | − | 34.0801i | − | 1.16415i | −0.813134 | − | 0.582077i | \(-0.802240\pi\) | ||
0.813134 | − | 0.582077i | \(-0.197760\pi\) | |||||||
\(858\) | 5.28984 | + | 13.1126i | 0.180592 | + | 0.447658i | ||||
\(859\) | 10.1514i | 0.346363i | 0.984890 | + | 0.173181i | \(0.0554047\pi\) | ||||
−0.984890 | + | 0.173181i | \(0.944595\pi\) | |||||||
\(860\) | −5.37138 | −0.183162 | ||||||||
\(861\) | −10.4148 | + | 4.20148i | −0.354935 | + | 0.143186i | ||||
\(862\) | −12.2481 | −0.417171 | ||||||||
\(863\) | −19.1946 | −0.653390 | −0.326695 | − | 0.945130i | \(-0.605935\pi\) | ||||
−0.326695 | + | 0.945130i | \(0.605935\pi\) | |||||||
\(864\) | 2.12094 | − | 4.74359i | 0.0721559 | − | 0.161380i | ||||
\(865\) | −9.50385 | −0.323140 | ||||||||
\(866\) | −38.5936 | −1.31146 | ||||||||
\(867\) | 2.70668 | + | 6.70942i | 0.0919238 | + | 0.227864i | ||||
\(868\) | −3.83659 | − | 2.19924i | −0.130222 | − | 0.0746471i | ||||
\(869\) | − | 72.8807i | − | 2.47231i | ||||||
\(870\) | −5.06913 | − | 12.5655i | −0.171860 | − | 0.426012i | ||||
\(871\) | 2.92179i | 0.0990012i | ||||||||
\(872\) | 10.9677i | 0.371412i | ||||||||
\(873\) | 5.90148 | − | 5.68703i | 0.199735 | − | 0.192477i | ||||
\(874\) | − | 4.71041i | − | 0.159332i | ||||||
\(875\) | − | 0.794255i | − | 0.0268507i | ||||||
\(876\) | 2.21935 | − | 0.895320i | 0.0749849 | − | 0.0302501i | ||||
\(877\) | −26.3591 | −0.890085 | −0.445042 | − | 0.895510i | \(-0.646811\pi\) | ||||
−0.445042 | + | 0.895510i | \(0.646811\pi\) | |||||||
\(878\) | 8.54975i | 0.288540i | ||||||||
\(879\) | 35.3585 | − | 14.2642i | 1.19261 | − | 0.481119i | ||||
\(880\) | 6.29899i | 0.212339i | ||||||||
\(881\) | −32.7893 | −1.10470 | −0.552351 | − | 0.833612i | \(-0.686269\pi\) | ||||
−0.552351 | + | 0.833612i | \(0.686269\pi\) | |||||||
\(882\) | −13.2587 | − | 13.7587i | −0.446445 | − | 0.463280i | ||||
\(883\) | − | 1.72114i | − | 0.0579210i | −0.999581 | − | 0.0289605i | \(-0.990780\pi\) | ||
0.999581 | − | 0.0289605i | \(-0.00921970\pi\) | |||||||
\(884\) | 4.64083i | 0.156088i | ||||||||
\(885\) | 7.98771 | + | 19.8002i | 0.268504 | + | 0.665577i | ||||
\(886\) | 27.6436 | 0.928706 | ||||||||
\(887\) | 15.2809i | 0.513083i | 0.966533 | + | 0.256542i | \(0.0825831\pi\) | ||||
−0.966533 | + | 0.256542i | \(0.917417\pi\) | |||||||
\(888\) | −4.17278 | − | 10.3436i | −0.140029 | − | 0.347110i | ||||
\(889\) | − | 4.82205i | − | 0.161726i | ||||||
\(890\) | −4.07539 | −0.136607 | ||||||||
\(891\) | 2.09751 | − | 56.6521i | 0.0702691 | − | 1.89792i | ||||
\(892\) | 4.29675i | 0.143866i | ||||||||
\(893\) | 7.22164i | 0.241663i | ||||||||
\(894\) | 9.73936 | + | 24.1423i | 0.325733 | + | 0.807438i | ||||
\(895\) | − | 23.1145i | − | 0.772632i | ||||||
\(896\) | 0.794255i | 0.0265342i | ||||||||
\(897\) | 6.42508 | − | 2.59198i | 0.214527 | − | 0.0865436i | ||||
\(898\) | − | 16.7850i | − | 0.560123i | ||||||
\(899\) | 37.7875 | + | 21.6608i | 1.26028 | + | 0.722430i | ||||
\(900\) | −2.16021 | + | 2.08171i | −0.0720069 | + | 0.0693902i | ||||
\(901\) | −12.9102 | −0.430101 | ||||||||
\(902\) | −51.4212 | −1.71214 | ||||||||
\(903\) | −6.85274 | + | 2.76450i | −0.228045 | + | 0.0919968i | ||||
\(904\) | 0.891745 | 0.0296590 | ||||||||
\(905\) | −9.81857 | −0.326380 | ||||||||
\(906\) | 3.11109 | + | 7.71189i | 0.103359 | + | 0.256210i | ||||
\(907\) | 13.9605 | 0.463550 | 0.231775 | − | 0.972769i | \(-0.425547\pi\) | ||||
0.231775 | + | 0.972769i | \(0.425547\pi\) | |||||||
\(908\) | − | 15.1275i | − | 0.502024i | ||||||
\(909\) | −5.62723 | − | 5.83942i | −0.186643 | − | 0.193682i | ||||
\(910\) | − | 1.02934i | − | 0.0341224i | ||||||
\(911\) | 26.5887 | 0.880922 | 0.440461 | − | 0.897772i | \(-0.354815\pi\) | ||||
0.440461 | + | 0.897772i | \(0.354815\pi\) | |||||||
\(912\) | 0.988943 | + | 2.45143i | 0.0327472 | + | 0.0811748i | ||||
\(913\) | 61.6026 | 2.03875 | ||||||||
\(914\) | −36.7242 | −1.21473 | ||||||||
\(915\) | −1.44088 | − | 3.57170i | −0.0476340 | − | 0.118077i | ||||
\(916\) | − | 13.6113i | − | 0.449729i | ||||||
\(917\) | 6.61362i | 0.218401i | ||||||||
\(918\) | 7.59492 | − | 16.9864i | 0.250670 | − | 0.560635i | ||||
\(919\) | 44.6090 | 1.47152 | 0.735758 | − | 0.677244i | \(-0.236826\pi\) | ||||
0.735758 | + | 0.677244i | \(0.236826\pi\) | |||||||
\(920\) | 3.08645 | 0.101757 | ||||||||
\(921\) | 19.9911 | + | 49.5545i | 0.658728 | + | 1.63288i | ||||
\(922\) | − | 27.9560i | − | 0.920682i | ||||||
\(923\) | 19.4787 | 0.641150 | ||||||||
\(924\) | 3.24191 | + | 8.03617i | 0.106651 | + | 0.264371i | ||||
\(925\) | 6.43954i | 0.211731i | ||||||||
\(926\) | 19.2543 | 0.632736 | ||||||||
\(927\) | −14.0064 | + | 13.4974i | −0.460031 | + | 0.443314i | ||||
\(928\) | − | 7.82280i | − | 0.256796i | ||||||
\(929\) | −14.3336 | −0.470269 | −0.235135 | − | 0.971963i | \(-0.575553\pi\) | ||||
−0.235135 | + | 0.971963i | \(0.575553\pi\) | |||||||
\(930\) | 1.31757 | − | 9.55322i | 0.0432050 | − | 0.313262i | ||||
\(931\) | 9.72036 | 0.318572 | ||||||||
\(932\) | 7.43508i | 0.243544i | ||||||||
\(933\) | 29.0291 | − | 11.7108i | 0.950369 | − | 0.383393i | ||||
\(934\) | 11.6732 | 0.381958 | ||||||||
\(935\) | 22.5562i | 0.737666i | ||||||||
\(936\) | −2.79960 | + | 2.69787i | −0.0915079 | + | 0.0881826i | ||||
\(937\) | −50.3617 | −1.64524 | −0.822622 | − | 0.568588i | \(-0.807490\pi\) | ||||
−0.822622 | + | 0.568588i | \(0.807490\pi\) | |||||||
\(938\) | 1.79064i | 0.0584665i | ||||||||
\(939\) | 33.4579 | − | 13.4974i | 1.09186 | − | 0.440472i | ||||
\(940\) | −4.73191 | −0.154338 | ||||||||
\(941\) | −37.3281 | −1.21686 | −0.608431 | − | 0.793607i | \(-0.708201\pi\) | ||||
−0.608431 | + | 0.793607i | \(0.708201\pi\) | |||||||
\(942\) | −31.8374 | + | 12.8437i | −1.03732 | + | 0.418470i | ||||
\(943\) | 25.1960i | 0.820493i | ||||||||
\(944\) | 12.3268i | 0.401204i | ||||||||
\(945\) | −1.68457 | + | 3.76761i | −0.0547990 | + | 0.122561i | ||||
\(946\) | −33.8342 | −1.10005 | ||||||||
\(947\) | −47.7740 | −1.55245 | −0.776223 | − | 0.630459i | \(-0.782867\pi\) | ||||
−0.776223 | + | 0.630459i | \(0.782867\pi\) | |||||||
\(948\) | 18.5849 | − | 7.49743i | 0.603609 | − | 0.243505i | ||||
\(949\) | −1.79064 | −0.0581266 | ||||||||
\(950\) | − | 1.52616i | − | 0.0495152i | ||||||
\(951\) | −4.24188 | + | 1.71124i | −0.137553 | + | 0.0554908i | ||||
\(952\) | 2.84416i | 0.0921798i | ||||||||
\(953\) | 45.3985 | 1.47060 | 0.735300 | − | 0.677741i | \(-0.237041\pi\) | ||||
0.735300 | + | 0.677741i | \(0.237041\pi\) | |||||||
\(954\) | −7.50513 | − | 7.78814i | −0.242988 | − | 0.252150i | ||||
\(955\) | −21.0336 | −0.680631 | ||||||||
\(956\) | 19.2752 | 0.623406 | ||||||||
\(957\) | −31.9304 | − | 79.1502i | −1.03216 | − | 2.55856i | ||||
\(958\) | 36.8802 | 1.19154 | ||||||||
\(959\) | 6.89736 | 0.222727 | ||||||||
\(960\) | −1.60627 | + | 0.647994i | −0.0518421 | + | 0.0209139i | ||||
\(961\) | 15.6660 | + | 26.7503i | 0.505354 | + | 0.862912i | ||||
\(962\) | 8.34557i | 0.269072i | ||||||||
\(963\) | 14.1570 | + | 14.6909i | 0.456203 | + | 0.473406i | ||||
\(964\) | − | 1.24113i | − | 0.0399740i | ||||||
\(965\) | 3.20932i | 0.103312i | ||||||||
\(966\) | 3.93765 | − | 1.58851i | 0.126692 | − | 0.0511094i | ||||
\(967\) | − | 35.4621i | − | 1.14038i | −0.821511 | − | 0.570192i | \(-0.806869\pi\) | ||
0.821511 | − | 0.570192i | \(-0.193131\pi\) | |||||||
\(968\) | 28.6772i | 0.921722i | ||||||||
\(969\) | 3.54132 | + | 8.77836i | 0.113764 | + | 0.282001i | ||||
\(970\) | −2.73191 | −0.0877162 | ||||||||
\(971\) | 54.7208i | 1.75607i | 0.478592 | + | 0.878037i | \(0.341147\pi\) | ||||
−0.478592 | + | 0.878037i | \(0.658853\pi\) | |||||||
\(972\) | 14.6623 | − | 5.29308i | 0.470294 | − | 0.169776i | ||||
\(973\) | − | 4.46780i | − | 0.143231i | ||||||
\(974\) | 36.6545 | 1.17449 | ||||||||
\(975\) | 2.08171 | − | 0.839793i | 0.0666680 | − | 0.0268949i | ||||
\(976\) | − | 2.22360i | − | 0.0711756i | ||||||
\(977\) | − | 2.00206i | − | 0.0640514i | −0.999487 | − | 0.0320257i | \(-0.989804\pi\) | ||
0.999487 | − | 0.0320257i | \(-0.0101958\pi\) | |||||||
\(978\) | 36.4835 | − | 14.7180i | 1.16661 | − | 0.470630i | ||||
\(979\) | −25.6708 | −0.820443 | ||||||||
\(980\) | 6.36916i | 0.203455i | ||||||||
\(981\) | −23.6924 | + | 22.8315i | −0.756441 | + | 0.728952i | ||||
\(982\) | − | 15.5310i | − | 0.495614i | ||||||
\(983\) | −22.3957 | −0.714312 | −0.357156 | − | 0.934045i | \(-0.616253\pi\) | ||||
−0.357156 | + | 0.934045i | \(0.616253\pi\) | |||||||
\(984\) | −5.28984 | − | 13.1126i | −0.168634 | − | 0.418016i | ||||
\(985\) | 24.5350i | 0.781750i | ||||||||
\(986\) | − | 28.0128i | − | 0.892110i | ||||||
\(987\) | −6.03690 | + | 2.43538i | −0.192157 | + | 0.0775190i | ||||
\(988\) | − | 1.97789i | − | 0.0629249i | ||||||
\(989\) | 16.5785i | 0.527165i | ||||||||
\(990\) | −13.6071 | + | 13.1126i | −0.432463 | + | 0.416747i | ||||
\(991\) | − | 38.3858i | − | 1.21937i | −0.792645 | − | 0.609683i | \(-0.791297\pi\) | ||
0.792645 | − | 0.609683i | \(-0.208703\pi\) | |||||||
\(992\) | 2.76894 | − | 4.83042i | 0.0879138 | − | 0.153366i | ||||
\(993\) | −34.4883 | + | 13.9131i | −1.09445 | + | 0.441519i | ||||
\(994\) | 11.9377 | 0.378639 | ||||||||
\(995\) | −23.0984 | −0.732270 | ||||||||
\(996\) | 6.33723 | + | 15.7089i | 0.200803 | + | 0.497757i | ||||
\(997\) | 2.99996 | 0.0950097 | 0.0475048 | − | 0.998871i | \(-0.484873\pi\) | ||||
0.0475048 | + | 0.998871i | \(0.484873\pi\) | |||||||
\(998\) | −6.93560 | −0.219542 | ||||||||
\(999\) | 13.6579 | − | 30.5465i | 0.432117 | − | 0.966449i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.h.d.371.3 | ✓ | 16 | |
3.2 | odd | 2 | inner | 930.2.h.d.371.14 | yes | 16 | |
31.30 | odd | 2 | inner | 930.2.h.d.371.6 | yes | 16 | |
93.92 | even | 2 | inner | 930.2.h.d.371.11 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.h.d.371.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.h.d.371.6 | yes | 16 | 31.30 | odd | 2 | inner | |
930.2.h.d.371.11 | yes | 16 | 93.92 | even | 2 | inner | |
930.2.h.d.371.14 | yes | 16 | 3.2 | odd | 2 | inner |