Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(34,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.c (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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 34.2 | ||
Root | \(-0.854638 + 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 165.34 |
Dual form | 165.2.c.a.34.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.53919i | − | 1.08837i | −0.838965 | − | 0.544185i | \(-0.816839\pi\) | ||
0.838965 | − | 0.544185i | \(-0.183161\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.369102 | −0.184551 | ||||||||
\(5\) | 2.17009 | + | 0.539189i | 0.970492 | + | 0.241133i | ||||
\(6\) | −1.53919 | −0.628371 | ||||||||
\(7\) | − | 0.290725i | − | 0.109884i | −0.998490 | − | 0.0549418i | \(-0.982503\pi\) | ||
0.998490 | − | 0.0549418i | \(-0.0174973\pi\) | |||||||
\(8\) | − | 2.51026i | − | 0.887511i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.829914 | − | 3.34017i | 0.262442 | − | 1.05626i | ||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0.369102i | 0.106551i | ||||||||
\(13\) | 6.97107i | 1.93343i | 0.255861 | + | 0.966714i | \(0.417641\pi\) | ||||
−0.255861 | + | 0.966714i | \(0.582359\pi\) | |||||||
\(14\) | −0.447480 | −0.119594 | ||||||||
\(15\) | 0.539189 | − | 2.17009i | 0.139218 | − | 0.560314i | ||||
\(16\) | −4.60197 | −1.15049 | ||||||||
\(17\) | − | 4.78765i | − | 1.16118i | −0.814197 | − | 0.580588i | \(-0.802823\pi\) | ||
0.814197 | − | 0.580588i | \(-0.197177\pi\) | |||||||
\(18\) | 1.53919i | 0.362790i | ||||||||
\(19\) | −7.75872 | −1.77997 | −0.889987 | − | 0.455987i | \(-0.849286\pi\) | ||||
−0.889987 | + | 0.455987i | \(0.849286\pi\) | |||||||
\(20\) | −0.800984 | − | 0.199016i | −0.179105 | − | 0.0445013i | ||||
\(21\) | −0.290725 | −0.0634413 | ||||||||
\(22\) | 1.53919i | 0.328156i | ||||||||
\(23\) | 4.00000i | 0.834058i | 0.908893 | + | 0.417029i | \(0.136929\pi\) | ||||
−0.908893 | + | 0.417029i | \(0.863071\pi\) | |||||||
\(24\) | −2.51026 | −0.512405 | ||||||||
\(25\) | 4.41855 | + | 2.34017i | 0.883710 | + | 0.468035i | ||||
\(26\) | 10.7298 | 2.10429 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.107307i | 0.0202791i | ||||||||
\(29\) | 7.41855 | 1.37759 | 0.688795 | − | 0.724956i | \(-0.258140\pi\) | ||||
0.688795 | + | 0.724956i | \(0.258140\pi\) | |||||||
\(30\) | −3.34017 | − | 0.829914i | −0.609829 | − | 0.151521i | ||||
\(31\) | 6.34017 | 1.13873 | 0.569364 | − | 0.822085i | \(-0.307189\pi\) | ||||
0.569364 | + | 0.822085i | \(0.307189\pi\) | |||||||
\(32\) | 2.06278i | 0.364651i | ||||||||
\(33\) | 1.00000i | 0.174078i | ||||||||
\(34\) | −7.36910 | −1.26379 | ||||||||
\(35\) | 0.156755 | − | 0.630898i | 0.0264965 | − | 0.106641i | ||||
\(36\) | 0.369102 | 0.0615171 | ||||||||
\(37\) | 3.41855i | 0.562006i | 0.959707 | + | 0.281003i | \(0.0906671\pi\) | ||||
−0.959707 | + | 0.281003i | \(0.909333\pi\) | |||||||
\(38\) | 11.9421i | 1.93727i | ||||||||
\(39\) | 6.97107 | 1.11626 | ||||||||
\(40\) | 1.35350 | − | 5.44748i | 0.214008 | − | 0.861322i | ||||
\(41\) | −7.41855 | −1.15858 | −0.579291 | − | 0.815120i | \(-0.696671\pi\) | ||||
−0.579291 | + | 0.815120i | \(0.696671\pi\) | |||||||
\(42\) | 0.447480i | 0.0690477i | ||||||||
\(43\) | 0.290725i | 0.0443351i | 0.999754 | + | 0.0221675i | \(0.00705673\pi\) | ||||
−0.999754 | + | 0.0221675i | \(0.992943\pi\) | |||||||
\(44\) | 0.369102 | 0.0556443 | ||||||||
\(45\) | −2.17009 | − | 0.539189i | −0.323497 | − | 0.0803775i | ||||
\(46\) | 6.15676 | 0.907764 | ||||||||
\(47\) | − | 5.26180i | − | 0.767512i | −0.923435 | − | 0.383756i | \(-0.874630\pi\) | ||
0.923435 | − | 0.383756i | \(-0.125370\pi\) | |||||||
\(48\) | 4.60197i | 0.664237i | ||||||||
\(49\) | 6.91548 | 0.987926 | ||||||||
\(50\) | 3.60197 | − | 6.80098i | 0.509395 | − | 0.961804i | ||||
\(51\) | −4.78765 | −0.670406 | ||||||||
\(52\) | − | 2.57304i | − | 0.356816i | ||||||
\(53\) | 5.75872i | 0.791022i | 0.918461 | + | 0.395511i | \(0.129432\pi\) | ||||
−0.918461 | + | 0.395511i | \(0.870568\pi\) | |||||||
\(54\) | 1.53919 | 0.209457 | ||||||||
\(55\) | −2.17009 | − | 0.539189i | −0.292614 | − | 0.0727042i | ||||
\(56\) | −0.729794 | −0.0975229 | ||||||||
\(57\) | 7.75872i | 1.02767i | ||||||||
\(58\) | − | 11.4186i | − | 1.49933i | ||||||
\(59\) | −3.60197 | −0.468936 | −0.234468 | − | 0.972124i | \(-0.575335\pi\) | ||||
−0.234468 | + | 0.972124i | \(0.575335\pi\) | |||||||
\(60\) | −0.199016 | + | 0.800984i | −0.0256928 | + | 0.103407i | ||||
\(61\) | −6.68035 | −0.855331 | −0.427665 | − | 0.903937i | \(-0.640664\pi\) | ||||
−0.427665 | + | 0.903937i | \(0.640664\pi\) | |||||||
\(62\) | − | 9.75872i | − | 1.23936i | ||||||
\(63\) | 0.290725i | 0.0366279i | ||||||||
\(64\) | −6.02893 | −0.753616 | ||||||||
\(65\) | −3.75872 | + | 15.1278i | −0.466212 | + | 1.87638i | ||||
\(66\) | 1.53919 | 0.189461 | ||||||||
\(67\) | − | 6.15676i | − | 0.752167i | −0.926586 | − | 0.376084i | \(-0.877271\pi\) | ||
0.926586 | − | 0.376084i | \(-0.122729\pi\) | |||||||
\(68\) | 1.76713i | 0.214296i | ||||||||
\(69\) | 4.00000 | 0.481543 | ||||||||
\(70\) | −0.971071 | − | 0.241276i | −0.116065 | − | 0.0288380i | ||||
\(71\) | −5.07838 | −0.602693 | −0.301346 | − | 0.953515i | \(-0.597436\pi\) | ||||
−0.301346 | + | 0.953515i | \(0.597436\pi\) | |||||||
\(72\) | 2.51026i | 0.295837i | ||||||||
\(73\) | − | 1.12783i | − | 0.132002i | −0.997820 | − | 0.0660010i | \(-0.978976\pi\) | ||
0.997820 | − | 0.0660010i | \(-0.0210241\pi\) | |||||||
\(74\) | 5.26180 | 0.611671 | ||||||||
\(75\) | 2.34017 | − | 4.41855i | 0.270220 | − | 0.510210i | ||||
\(76\) | 2.86376 | 0.328496 | ||||||||
\(77\) | 0.290725i | 0.0331311i | ||||||||
\(78\) | − | 10.7298i | − | 1.21491i | ||||||
\(79\) | 0.921622 | 0.103691 | 0.0518453 | − | 0.998655i | \(-0.483490\pi\) | ||||
0.0518453 | + | 0.998655i | \(0.483490\pi\) | |||||||
\(80\) | −9.98667 | − | 2.48133i | −1.11654 | − | 0.277421i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 11.4186i | 1.26097i | ||||||||
\(83\) | 1.70928i | 0.187617i | 0.995590 | + | 0.0938087i | \(0.0299042\pi\) | ||||
−0.995590 | + | 0.0938087i | \(0.970096\pi\) | |||||||
\(84\) | 0.107307 | 0.0117082 | ||||||||
\(85\) | 2.58145 | − | 10.3896i | 0.279997 | − | 1.12691i | ||||
\(86\) | 0.447480 | 0.0482530 | ||||||||
\(87\) | − | 7.41855i | − | 0.795352i | ||||||
\(88\) | 2.51026i | 0.267595i | ||||||||
\(89\) | −4.34017 | −0.460057 | −0.230029 | − | 0.973184i | \(-0.573882\pi\) | ||||
−0.230029 | + | 0.973184i | \(0.573882\pi\) | |||||||
\(90\) | −0.829914 | + | 3.34017i | −0.0874806 | + | 0.352085i | ||||
\(91\) | 2.02666 | 0.212452 | ||||||||
\(92\) | − | 1.47641i | − | 0.153926i | ||||||
\(93\) | − | 6.34017i | − | 0.657445i | ||||||
\(94\) | −8.09890 | −0.835337 | ||||||||
\(95\) | −16.8371 | − | 4.18342i | −1.72745 | − | 0.429210i | ||||
\(96\) | 2.06278 | 0.210532 | ||||||||
\(97\) | − | 4.68035i | − | 0.475217i | −0.971361 | − | 0.237609i | \(-0.923636\pi\) | ||
0.971361 | − | 0.237609i | \(-0.0763635\pi\) | |||||||
\(98\) | − | 10.6442i | − | 1.07523i | ||||||
\(99\) | 1.00000 | 0.100504 | ||||||||
\(100\) | −1.63090 | − | 0.863763i | −0.163090 | − | 0.0863763i | ||||
\(101\) | −8.58145 | −0.853886 | −0.426943 | − | 0.904279i | \(-0.640410\pi\) | ||||
−0.426943 | + | 0.904279i | \(0.640410\pi\) | |||||||
\(102\) | 7.36910i | 0.729650i | ||||||||
\(103\) | 6.73820i | 0.663935i | 0.943291 | + | 0.331968i | \(0.107712\pi\) | ||||
−0.943291 | + | 0.331968i | \(0.892288\pi\) | |||||||
\(104\) | 17.4992 | 1.71594 | ||||||||
\(105\) | −0.630898 | − | 0.156755i | −0.0615693 | − | 0.0152978i | ||||
\(106\) | 8.86376 | 0.860925 | ||||||||
\(107\) | − | 12.2329i | − | 1.18260i | −0.806453 | − | 0.591298i | \(-0.798616\pi\) | ||
0.806453 | − | 0.591298i | \(-0.201384\pi\) | |||||||
\(108\) | − | 0.369102i | − | 0.0355169i | ||||||
\(109\) | 6.31351 | 0.604725 | 0.302362 | − | 0.953193i | \(-0.402225\pi\) | ||||
0.302362 | + | 0.953193i | \(0.402225\pi\) | |||||||
\(110\) | −0.829914 | + | 3.34017i | −0.0791291 | + | 0.318473i | ||||
\(111\) | 3.41855 | 0.324474 | ||||||||
\(112\) | 1.33791i | 0.126420i | ||||||||
\(113\) | − | 16.4969i | − | 1.55190i | −0.630794 | − | 0.775950i | \(-0.717271\pi\) | ||
0.630794 | − | 0.775950i | \(-0.282729\pi\) | |||||||
\(114\) | 11.9421 | 1.11848 | ||||||||
\(115\) | −2.15676 | + | 8.68035i | −0.201118 | + | 0.809446i | ||||
\(116\) | −2.73820 | −0.254236 | ||||||||
\(117\) | − | 6.97107i | − | 0.644476i | ||||||
\(118\) | 5.54411i | 0.510377i | ||||||||
\(119\) | −1.39189 | −0.127594 | ||||||||
\(120\) | −5.44748 | − | 1.35350i | −0.497285 | − | 0.123557i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 10.2823i | 0.930917i | ||||||||
\(123\) | 7.41855i | 0.668908i | ||||||||
\(124\) | −2.34017 | −0.210154 | ||||||||
\(125\) | 8.32684 | + | 7.46081i | 0.744775 | + | 0.667315i | ||||
\(126\) | 0.447480 | 0.0398647 | ||||||||
\(127\) | − | 4.87217i | − | 0.432336i | −0.976356 | − | 0.216168i | \(-0.930644\pi\) | ||
0.976356 | − | 0.216168i | \(-0.0693558\pi\) | |||||||
\(128\) | 13.4052i | 1.18487i | ||||||||
\(129\) | 0.290725 | 0.0255969 | ||||||||
\(130\) | 23.2846 | + | 5.78539i | 2.04219 | + | 0.507412i | ||||
\(131\) | −8.68035 | −0.758405 | −0.379203 | − | 0.925314i | \(-0.623802\pi\) | ||||
−0.379203 | + | 0.925314i | \(0.623802\pi\) | |||||||
\(132\) | − | 0.369102i | − | 0.0321262i | ||||||
\(133\) | 2.25565i | 0.195590i | ||||||||
\(134\) | −9.47641 | −0.818637 | ||||||||
\(135\) | −0.539189 | + | 2.17009i | −0.0464060 | + | 0.186771i | ||||
\(136\) | −12.0183 | −1.03056 | ||||||||
\(137\) | 12.5958i | 1.07613i | 0.842902 | + | 0.538067i | \(0.180845\pi\) | ||||
−0.842902 | + | 0.538067i | \(0.819155\pi\) | |||||||
\(138\) | − | 6.15676i | − | 0.524098i | ||||||
\(139\) | 9.91548 | 0.841020 | 0.420510 | − | 0.907288i | \(-0.361851\pi\) | ||||
0.420510 | + | 0.907288i | \(0.361851\pi\) | |||||||
\(140\) | −0.0578588 | + | 0.232866i | −0.00488996 | + | 0.0196808i | ||||
\(141\) | −5.26180 | −0.443123 | ||||||||
\(142\) | 7.81658i | 0.655953i | ||||||||
\(143\) | − | 6.97107i | − | 0.582950i | ||||||
\(144\) | 4.60197 | 0.383497 | ||||||||
\(145\) | 16.0989 | + | 4.00000i | 1.33694 | + | 0.332182i | ||||
\(146\) | −1.73594 | −0.143667 | ||||||||
\(147\) | − | 6.91548i | − | 0.570379i | ||||||
\(148\) | − | 1.26180i | − | 0.103719i | ||||||
\(149\) | 1.26180 | 0.103370 | 0.0516851 | − | 0.998663i | \(-0.483541\pi\) | ||||
0.0516851 | + | 0.998663i | \(0.483541\pi\) | |||||||
\(150\) | −6.80098 | − | 3.60197i | −0.555298 | − | 0.294099i | ||||
\(151\) | 1.60197 | 0.130366 | 0.0651832 | − | 0.997873i | \(-0.479237\pi\) | ||||
0.0651832 | + | 0.997873i | \(0.479237\pi\) | |||||||
\(152\) | 19.4764i | 1.57975i | ||||||||
\(153\) | 4.78765i | 0.387059i | ||||||||
\(154\) | 0.447480 | 0.0360590 | ||||||||
\(155\) | 13.7587 | + | 3.41855i | 1.10513 | + | 0.274585i | ||||
\(156\) | −2.57304 | −0.206008 | ||||||||
\(157\) | 7.10504i | 0.567044i | 0.958966 | + | 0.283522i | \(0.0915029\pi\) | ||||
−0.958966 | + | 0.283522i | \(0.908497\pi\) | |||||||
\(158\) | − | 1.41855i | − | 0.112854i | ||||||
\(159\) | 5.75872 | 0.456696 | ||||||||
\(160\) | −1.11223 | + | 4.47641i | −0.0879293 | + | 0.353891i | ||||
\(161\) | 1.16290 | 0.0916492 | ||||||||
\(162\) | − | 1.53919i | − | 0.120930i | ||||||
\(163\) | − | 22.9360i | − | 1.79649i | −0.439499 | − | 0.898243i | \(-0.644844\pi\) | ||
0.439499 | − | 0.898243i | \(-0.355156\pi\) | |||||||
\(164\) | 2.73820 | 0.213818 | ||||||||
\(165\) | −0.539189 | + | 2.17009i | −0.0419758 | + | 0.168941i | ||||
\(166\) | 2.63090 | 0.204197 | ||||||||
\(167\) | − | 4.81432i | − | 0.372543i | −0.982498 | − | 0.186271i | \(-0.940360\pi\) | ||
0.982498 | − | 0.186271i | \(-0.0596404\pi\) | |||||||
\(168\) | 0.729794i | 0.0563049i | ||||||||
\(169\) | −35.5958 | −2.73814 | ||||||||
\(170\) | −15.9916 | − | 3.97334i | −1.22650 | − | 0.304741i | ||||
\(171\) | 7.75872 | 0.593324 | ||||||||
\(172\) | − | 0.107307i | − | 0.00818209i | ||||||
\(173\) | − | 12.8865i | − | 0.979746i | −0.871794 | − | 0.489873i | \(-0.837043\pi\) | ||
0.871794 | − | 0.489873i | \(-0.162957\pi\) | |||||||
\(174\) | −11.4186 | −0.865638 | ||||||||
\(175\) | 0.680346 | − | 1.28458i | 0.0514293 | − | 0.0971052i | ||||
\(176\) | 4.60197 | 0.346886 | ||||||||
\(177\) | 3.60197i | 0.270741i | ||||||||
\(178\) | 6.68035i | 0.500713i | ||||||||
\(179\) | −1.84324 | −0.137771 | −0.0688853 | − | 0.997625i | \(-0.521944\pi\) | ||||
−0.0688853 | + | 0.997625i | \(0.521944\pi\) | |||||||
\(180\) | 0.800984 | + | 0.199016i | 0.0597018 | + | 0.0148338i | ||||
\(181\) | 10.2823 | 0.764278 | 0.382139 | − | 0.924105i | \(-0.375187\pi\) | ||||
0.382139 | + | 0.924105i | \(0.375187\pi\) | |||||||
\(182\) | − | 3.11942i | − | 0.231226i | ||||||
\(183\) | 6.68035i | 0.493825i | ||||||||
\(184\) | 10.0410 | 0.740235 | ||||||||
\(185\) | −1.84324 | + | 7.41855i | −0.135518 | + | 0.545423i | ||||
\(186\) | −9.75872 | −0.715544 | ||||||||
\(187\) | 4.78765i | 0.350108i | ||||||||
\(188\) | 1.94214i | 0.141645i | ||||||||
\(189\) | 0.290725 | 0.0211471 | ||||||||
\(190\) | −6.43907 | + | 25.9155i | −0.467139 | + | 1.88011i | ||||
\(191\) | −11.5174 | −0.833373 | −0.416687 | − | 0.909050i | \(-0.636809\pi\) | ||||
−0.416687 | + | 0.909050i | \(0.636809\pi\) | |||||||
\(192\) | 6.02893i | 0.435101i | ||||||||
\(193\) | 3.86603i | 0.278283i | 0.990273 | + | 0.139141i | \(0.0444343\pi\) | ||||
−0.990273 | + | 0.139141i | \(0.955566\pi\) | |||||||
\(194\) | −7.20394 | −0.517212 | ||||||||
\(195\) | 15.1278 | + | 3.75872i | 1.08333 | + | 0.269168i | ||||
\(196\) | −2.55252 | −0.182323 | ||||||||
\(197\) | 8.57304i | 0.610804i | 0.952224 | + | 0.305402i | \(0.0987908\pi\) | ||||
−0.952224 | + | 0.305402i | \(0.901209\pi\) | |||||||
\(198\) | − | 1.53919i | − | 0.109385i | ||||||
\(199\) | −8.31351 | −0.589329 | −0.294665 | − | 0.955601i | \(-0.595208\pi\) | ||||
−0.294665 | + | 0.955601i | \(0.595208\pi\) | |||||||
\(200\) | 5.87444 | − | 11.0917i | 0.415386 | − | 0.784302i | ||||
\(201\) | −6.15676 | −0.434264 | ||||||||
\(202\) | 13.2085i | 0.929345i | ||||||||
\(203\) | − | 2.15676i | − | 0.151375i | ||||||
\(204\) | 1.76713 | 0.123724 | ||||||||
\(205\) | −16.0989 | − | 4.00000i | −1.12440 | − | 0.279372i | ||||
\(206\) | 10.3714 | 0.722608 | ||||||||
\(207\) | − | 4.00000i | − | 0.278019i | ||||||
\(208\) | − | 32.0806i | − | 2.22439i | ||||||
\(209\) | 7.75872 | 0.536682 | ||||||||
\(210\) | −0.241276 | + | 0.971071i | −0.0166496 | + | 0.0670102i | ||||
\(211\) | 25.9155 | 1.78410 | 0.892048 | − | 0.451941i | \(-0.149268\pi\) | ||||
0.892048 | + | 0.451941i | \(0.149268\pi\) | |||||||
\(212\) | − | 2.12556i | − | 0.145984i | ||||||
\(213\) | 5.07838i | 0.347965i | ||||||||
\(214\) | −18.8287 | −1.28710 | ||||||||
\(215\) | −0.156755 | + | 0.630898i | −0.0106906 | + | 0.0430269i | ||||
\(216\) | 2.51026 | 0.170802 | ||||||||
\(217\) | − | 1.84324i | − | 0.125128i | ||||||
\(218\) | − | 9.71769i | − | 0.658165i | ||||||
\(219\) | −1.12783 | −0.0762114 | ||||||||
\(220\) | 0.800984 | + | 0.199016i | 0.0540023 | + | 0.0134176i | ||||
\(221\) | 33.3751 | 2.24505 | ||||||||
\(222\) | − | 5.26180i | − | 0.353149i | ||||||
\(223\) | − | 9.62863i | − | 0.644781i | −0.946607 | − | 0.322390i | \(-0.895514\pi\) | ||
0.946607 | − | 0.322390i | \(-0.104486\pi\) | |||||||
\(224\) | 0.599701 | 0.0400692 | ||||||||
\(225\) | −4.41855 | − | 2.34017i | −0.294570 | − | 0.156012i | ||||
\(226\) | −25.3919 | −1.68904 | ||||||||
\(227\) | 18.3896i | 1.22056i | 0.792185 | + | 0.610281i | \(0.208943\pi\) | ||||
−0.792185 | + | 0.610281i | \(0.791057\pi\) | |||||||
\(228\) | − | 2.86376i | − | 0.189657i | ||||||
\(229\) | −17.1506 | −1.13334 | −0.566672 | − | 0.823943i | \(-0.691769\pi\) | ||||
−0.566672 | + | 0.823943i | \(0.691769\pi\) | |||||||
\(230\) | 13.3607 | + | 3.31965i | 0.880978 | + | 0.218892i | ||||
\(231\) | 0.290725 | 0.0191283 | ||||||||
\(232\) | − | 18.6225i | − | 1.22263i | ||||||
\(233\) | − | 4.10731i | − | 0.269079i | −0.990908 | − | 0.134539i | \(-0.957045\pi\) | ||
0.990908 | − | 0.134539i | \(-0.0429555\pi\) | |||||||
\(234\) | −10.7298 | −0.701429 | ||||||||
\(235\) | 2.83710 | − | 11.4186i | 0.185072 | − | 0.744864i | ||||
\(236\) | 1.32950 | 0.0865428 | ||||||||
\(237\) | − | 0.921622i | − | 0.0598658i | ||||||
\(238\) | 2.14238i | 0.138870i | ||||||||
\(239\) | 4.36683 | 0.282467 | 0.141234 | − | 0.989976i | \(-0.454893\pi\) | ||||
0.141234 | + | 0.989976i | \(0.454893\pi\) | |||||||
\(240\) | −2.48133 | + | 9.98667i | −0.160169 | + | 0.644637i | ||||
\(241\) | −5.20394 | −0.335215 | −0.167608 | − | 0.985854i | \(-0.553604\pi\) | ||||
−0.167608 | + | 0.985854i | \(0.553604\pi\) | |||||||
\(242\) | − | 1.53919i | − | 0.0989428i | ||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.46573 | 0.157852 | ||||||||
\(245\) | 15.0072 | + | 3.72875i | 0.958774 | + | 0.238221i | ||||
\(246\) | 11.4186 | 0.728020 | ||||||||
\(247\) | − | 54.0866i | − | 3.44145i | ||||||
\(248\) | − | 15.9155i | − | 1.01063i | ||||||
\(249\) | 1.70928 | 0.108321 | ||||||||
\(250\) | 11.4836 | − | 12.8166i | 0.726286 | − | 0.810592i | ||||
\(251\) | −8.28231 | −0.522775 | −0.261388 | − | 0.965234i | \(-0.584180\pi\) | ||||
−0.261388 | + | 0.965234i | \(0.584180\pi\) | |||||||
\(252\) | − | 0.107307i | − | 0.00675972i | ||||||
\(253\) | − | 4.00000i | − | 0.251478i | ||||||
\(254\) | −7.49920 | −0.470541 | ||||||||
\(255\) | −10.3896 | − | 2.58145i | −0.650623 | − | 0.161657i | ||||
\(256\) | 8.57531 | 0.535957 | ||||||||
\(257\) | − | 11.0205i | − | 0.687441i | −0.939072 | − | 0.343721i | \(-0.888313\pi\) | ||
0.939072 | − | 0.343721i | \(-0.111687\pi\) | |||||||
\(258\) | − | 0.447480i | − | 0.0278589i | ||||||
\(259\) | 0.993857 | 0.0617553 | ||||||||
\(260\) | 1.38735 | − | 5.58372i | 0.0860400 | − | 0.346287i | ||||
\(261\) | −7.41855 | −0.459197 | ||||||||
\(262\) | 13.3607i | 0.825426i | ||||||||
\(263\) | − | 2.97107i | − | 0.183204i | −0.995796 | − | 0.0916020i | \(-0.970801\pi\) | ||
0.995796 | − | 0.0916020i | \(-0.0291988\pi\) | |||||||
\(264\) | 2.51026 | 0.154496 | ||||||||
\(265\) | −3.10504 | + | 12.4969i | −0.190741 | + | 0.767680i | ||||
\(266\) | 3.47187 | 0.212874 | ||||||||
\(267\) | 4.34017i | 0.265614i | ||||||||
\(268\) | 2.27247i | 0.138813i | ||||||||
\(269\) | 15.8432 | 0.965980 | 0.482990 | − | 0.875626i | \(-0.339551\pi\) | ||||
0.482990 | + | 0.875626i | \(0.339551\pi\) | |||||||
\(270\) | 3.34017 | + | 0.829914i | 0.203276 | + | 0.0505069i | ||||
\(271\) | −6.28231 | −0.381623 | −0.190812 | − | 0.981627i | \(-0.561112\pi\) | ||||
−0.190812 | + | 0.981627i | \(0.561112\pi\) | |||||||
\(272\) | 22.0326i | 1.33592i | ||||||||
\(273\) | − | 2.02666i | − | 0.122659i | ||||||
\(274\) | 19.3874 | 1.17123 | ||||||||
\(275\) | −4.41855 | − | 2.34017i | −0.266449 | − | 0.141118i | ||||
\(276\) | −1.47641 | −0.0888694 | ||||||||
\(277\) | − | 5.12783i | − | 0.308101i | −0.988063 | − | 0.154051i | \(-0.950768\pi\) | ||
0.988063 | − | 0.154051i | \(-0.0492319\pi\) | |||||||
\(278\) | − | 15.2618i | − | 0.915342i | ||||||
\(279\) | −6.34017 | −0.379576 | ||||||||
\(280\) | −1.58372 | − | 0.393497i | −0.0946452 | − | 0.0235159i | ||||
\(281\) | 21.8888 | 1.30578 | 0.652889 | − | 0.757454i | \(-0.273557\pi\) | ||||
0.652889 | + | 0.757454i | \(0.273557\pi\) | |||||||
\(282\) | 8.09890i | 0.482282i | ||||||||
\(283\) | 25.9649i | 1.54345i | 0.635954 | + | 0.771727i | \(0.280607\pi\) | ||||
−0.635954 | + | 0.771727i | \(0.719393\pi\) | |||||||
\(284\) | 1.87444 | 0.111228 | ||||||||
\(285\) | −4.18342 | + | 16.8371i | −0.247804 | + | 0.997344i | ||||
\(286\) | −10.7298 | −0.634466 | ||||||||
\(287\) | 2.15676i | 0.127309i | ||||||||
\(288\) | − | 2.06278i | − | 0.121550i | ||||||
\(289\) | −5.92162 | −0.348331 | ||||||||
\(290\) | 6.15676 | − | 24.7792i | 0.361537 | − | 1.45509i | ||||
\(291\) | −4.68035 | −0.274367 | ||||||||
\(292\) | 0.416283i | 0.0243611i | ||||||||
\(293\) | 10.4163i | 0.608526i | 0.952588 | + | 0.304263i | \(0.0984101\pi\) | ||||
−0.952588 | + | 0.304263i | \(0.901590\pi\) | |||||||
\(294\) | −10.6442 | −0.620784 | ||||||||
\(295\) | −7.81658 | − | 1.94214i | −0.455099 | − | 0.113076i | ||||
\(296\) | 8.58145 | 0.498787 | ||||||||
\(297\) | − | 1.00000i | − | 0.0580259i | ||||||
\(298\) | − | 1.94214i | − | 0.112505i | ||||||
\(299\) | −27.8843 | −1.61259 | ||||||||
\(300\) | −0.863763 | + | 1.63090i | −0.0498694 | + | 0.0941599i | ||||
\(301\) | 0.0845208 | 0.00487170 | ||||||||
\(302\) | − | 2.46573i | − | 0.141887i | ||||||
\(303\) | 8.58145i | 0.492991i | ||||||||
\(304\) | 35.7054 | 2.04785 | ||||||||
\(305\) | −14.4969 | − | 3.60197i | −0.830092 | − | 0.206248i | ||||
\(306\) | 7.36910 | 0.421264 | ||||||||
\(307\) | 29.0700i | 1.65911i | 0.558425 | + | 0.829555i | \(0.311406\pi\) | ||||
−0.558425 | + | 0.829555i | \(0.688594\pi\) | |||||||
\(308\) | − | 0.107307i | − | 0.00611439i | ||||||
\(309\) | 6.73820 | 0.383323 | ||||||||
\(310\) | 5.26180 | − | 21.1773i | 0.298850 | − | 1.20279i | ||||
\(311\) | 5.44521 | 0.308770 | 0.154385 | − | 0.988011i | \(-0.450660\pi\) | ||||
0.154385 | + | 0.988011i | \(0.450660\pi\) | |||||||
\(312\) | − | 17.4992i | − | 0.990697i | ||||||
\(313\) | 25.0928i | 1.41833i | 0.705044 | + | 0.709163i | \(0.250927\pi\) | ||||
−0.705044 | + | 0.709163i | \(0.749073\pi\) | |||||||
\(314\) | 10.9360 | 0.617154 | ||||||||
\(315\) | −0.156755 | + | 0.630898i | −0.00883217 | + | 0.0355471i | ||||
\(316\) | −0.340173 | −0.0191362 | ||||||||
\(317\) | − | 21.1773i | − | 1.18943i | −0.803935 | − | 0.594717i | \(-0.797264\pi\) | ||
0.803935 | − | 0.594717i | \(-0.202736\pi\) | |||||||
\(318\) | − | 8.86376i | − | 0.497055i | ||||||
\(319\) | −7.41855 | −0.415359 | ||||||||
\(320\) | −13.0833 | − | 3.25073i | −0.731379 | − | 0.181721i | ||||
\(321\) | −12.2329 | −0.682772 | ||||||||
\(322\) | − | 1.78992i | − | 0.0997484i | ||||||
\(323\) | 37.1461i | 2.06686i | ||||||||
\(324\) | −0.369102 | −0.0205057 | ||||||||
\(325\) | −16.3135 | + | 30.8020i | −0.904911 | + | 1.70859i | ||||
\(326\) | −35.3028 | −1.95524 | ||||||||
\(327\) | − | 6.31351i | − | 0.349138i | ||||||
\(328\) | 18.6225i | 1.02825i | ||||||||
\(329\) | −1.52973 | −0.0843369 | ||||||||
\(330\) | 3.34017 | + | 0.829914i | 0.183870 | + | 0.0456852i | ||||
\(331\) | −6.70701 | −0.368650 | −0.184325 | − | 0.982865i | \(-0.559010\pi\) | ||||
−0.184325 | + | 0.982865i | \(0.559010\pi\) | |||||||
\(332\) | − | 0.630898i | − | 0.0346250i | ||||||
\(333\) | − | 3.41855i | − | 0.187335i | ||||||
\(334\) | −7.41014 | −0.405465 | ||||||||
\(335\) | 3.31965 | − | 13.3607i | 0.181372 | − | 0.729973i | ||||
\(336\) | 1.33791 | 0.0729887 | ||||||||
\(337\) | − | 23.7503i | − | 1.29376i | −0.762591 | − | 0.646881i | \(-0.776073\pi\) | ||
0.762591 | − | 0.646881i | \(-0.223927\pi\) | |||||||
\(338\) | 54.7887i | 2.98011i | ||||||||
\(339\) | −16.4969 | −0.895990 | ||||||||
\(340\) | −0.952819 | + | 3.83483i | −0.0516739 | + | 0.207973i | ||||
\(341\) | −6.34017 | −0.343340 | ||||||||
\(342\) | − | 11.9421i | − | 0.645757i | ||||||
\(343\) | − | 4.04557i | − | 0.218440i | ||||||
\(344\) | 0.729794 | 0.0393479 | ||||||||
\(345\) | 8.68035 | + | 2.15676i | 0.467334 | + | 0.116116i | ||||
\(346\) | −19.8348 | −1.06633 | ||||||||
\(347\) | 31.1689i | 1.67323i | 0.547790 | + | 0.836616i | \(0.315469\pi\) | ||||
−0.547790 | + | 0.836616i | \(0.684531\pi\) | |||||||
\(348\) | 2.73820i | 0.146783i | ||||||||
\(349\) | −11.0472 | −0.591342 | −0.295671 | − | 0.955290i | \(-0.595543\pi\) | ||||
−0.295671 | + | 0.955290i | \(0.595543\pi\) | |||||||
\(350\) | −1.97721 | − | 1.04718i | −0.105687 | − | 0.0559742i | ||||
\(351\) | −6.97107 | −0.372088 | ||||||||
\(352\) | − | 2.06278i | − | 0.109947i | ||||||
\(353\) | − | 27.4329i | − | 1.46011i | −0.683390 | − | 0.730054i | \(-0.739495\pi\) | ||
0.683390 | − | 0.730054i | \(-0.260505\pi\) | |||||||
\(354\) | 5.54411 | 0.294666 | ||||||||
\(355\) | −11.0205 | − | 2.73820i | −0.584908 | − | 0.145329i | ||||
\(356\) | 1.60197 | 0.0849041 | ||||||||
\(357\) | 1.39189i | 0.0736666i | ||||||||
\(358\) | 2.83710i | 0.149945i | ||||||||
\(359\) | 19.1506 | 1.01073 | 0.505365 | − | 0.862905i | \(-0.331358\pi\) | ||||
0.505365 | + | 0.862905i | \(0.331358\pi\) | |||||||
\(360\) | −1.35350 | + | 5.44748i | −0.0713359 | + | 0.287107i | ||||
\(361\) | 41.1978 | 2.16830 | ||||||||
\(362\) | − | 15.8264i | − | 0.831818i | ||||||
\(363\) | − | 1.00000i | − | 0.0524864i | ||||||
\(364\) | −0.748046 | −0.0392083 | ||||||||
\(365\) | 0.608111 | − | 2.44748i | 0.0318300 | − | 0.128107i | ||||
\(366\) | 10.2823 | 0.537465 | ||||||||
\(367\) | 14.5692i | 0.760504i | 0.924883 | + | 0.380252i | \(0.124163\pi\) | ||||
−0.924883 | + | 0.380252i | \(0.875837\pi\) | |||||||
\(368\) | − | 18.4079i | − | 0.959577i | ||||||
\(369\) | 7.41855 | 0.386194 | ||||||||
\(370\) | 11.4186 | + | 2.83710i | 0.593622 | + | 0.147494i | ||||
\(371\) | 1.67420 | 0.0869203 | ||||||||
\(372\) | 2.34017i | 0.121332i | ||||||||
\(373\) | − | 8.81432i | − | 0.456388i | −0.973616 | − | 0.228194i | \(-0.926718\pi\) | ||
0.973616 | − | 0.228194i | \(-0.0732820\pi\) | |||||||
\(374\) | 7.36910 | 0.381047 | ||||||||
\(375\) | 7.46081 | − | 8.32684i | 0.385275 | − | 0.429996i | ||||
\(376\) | −13.2085 | −0.681175 | ||||||||
\(377\) | 51.7152i | 2.66347i | ||||||||
\(378\) | − | 0.447480i | − | 0.0230159i | ||||||
\(379\) | 23.5174 | 1.20801 | 0.604005 | − | 0.796980i | \(-0.293571\pi\) | ||||
0.604005 | + | 0.796980i | \(0.293571\pi\) | |||||||
\(380\) | 6.21461 | + | 1.54411i | 0.318803 | + | 0.0792111i | ||||
\(381\) | −4.87217 | −0.249609 | ||||||||
\(382\) | 17.7275i | 0.907019i | ||||||||
\(383\) | − | 19.3028i | − | 0.986329i | −0.869936 | − | 0.493164i | \(-0.835840\pi\) | ||
0.869936 | − | 0.493164i | \(-0.164160\pi\) | |||||||
\(384\) | 13.4052 | 0.684082 | ||||||||
\(385\) | −0.156755 | + | 0.630898i | −0.00798900 | + | 0.0321535i | ||||
\(386\) | 5.95055 | 0.302875 | ||||||||
\(387\) | − | 0.290725i | − | 0.0147784i | ||||||
\(388\) | 1.72753i | 0.0877019i | ||||||||
\(389\) | 20.0410 | 1.01612 | 0.508060 | − | 0.861321i | \(-0.330363\pi\) | ||||
0.508060 | + | 0.861321i | \(0.330363\pi\) | |||||||
\(390\) | 5.78539 | − | 23.2846i | 0.292954 | − | 1.17906i | ||||
\(391\) | 19.1506 | 0.968488 | ||||||||
\(392\) | − | 17.3596i | − | 0.876795i | ||||||
\(393\) | 8.68035i | 0.437866i | ||||||||
\(394\) | 13.1955 | 0.664781 | ||||||||
\(395\) | 2.00000 | + | 0.496928i | 0.100631 | + | 0.0250032i | ||||
\(396\) | −0.369102 | −0.0185481 | ||||||||
\(397\) | 33.3607i | 1.67433i | 0.546954 | + | 0.837163i | \(0.315787\pi\) | ||||
−0.546954 | + | 0.837163i | \(0.684213\pi\) | |||||||
\(398\) | 12.7961i | 0.641409i | ||||||||
\(399\) | 2.25565 | 0.112924 | ||||||||
\(400\) | −20.3340 | − | 10.7694i | −1.01670 | − | 0.538470i | ||||
\(401\) | −37.6475 | −1.88003 | −0.940014 | − | 0.341135i | \(-0.889189\pi\) | ||||
−0.940014 | + | 0.341135i | \(0.889189\pi\) | |||||||
\(402\) | 9.47641i | 0.472640i | ||||||||
\(403\) | 44.1978i | 2.20165i | ||||||||
\(404\) | 3.16743 | 0.157586 | ||||||||
\(405\) | 2.17009 | + | 0.539189i | 0.107832 | + | 0.0267925i | ||||
\(406\) | −3.31965 | −0.164752 | ||||||||
\(407\) | − | 3.41855i | − | 0.169451i | ||||||
\(408\) | 12.0183i | 0.594992i | ||||||||
\(409\) | 25.2039 | 1.24625 | 0.623127 | − | 0.782120i | \(-0.285862\pi\) | ||||
0.623127 | + | 0.782120i | \(0.285862\pi\) | |||||||
\(410\) | −6.15676 | + | 24.7792i | −0.304060 | + | 1.22376i | ||||
\(411\) | 12.5958 | 0.621306 | ||||||||
\(412\) | − | 2.48709i | − | 0.122530i | ||||||
\(413\) | 1.04718i | 0.0515284i | ||||||||
\(414\) | −6.15676 | −0.302588 | ||||||||
\(415\) | −0.921622 | + | 3.70928i | −0.0452407 | + | 0.182081i | ||||
\(416\) | −14.3798 | −0.705027 | ||||||||
\(417\) | − | 9.91548i | − | 0.485563i | ||||||
\(418\) | − | 11.9421i | − | 0.584109i | ||||||
\(419\) | −17.8432 | −0.871700 | −0.435850 | − | 0.900019i | \(-0.643552\pi\) | ||||
−0.435850 | + | 0.900019i | \(0.643552\pi\) | |||||||
\(420\) | 0.232866 | + | 0.0578588i | 0.0113627 | + | 0.00282322i | ||||
\(421\) | −11.8120 | −0.575684 | −0.287842 | − | 0.957678i | \(-0.592938\pi\) | ||||
−0.287842 | + | 0.957678i | \(0.592938\pi\) | |||||||
\(422\) | − | 39.8888i | − | 1.94176i | ||||||
\(423\) | 5.26180i | 0.255837i | ||||||||
\(424\) | 14.4559 | 0.702040 | ||||||||
\(425\) | 11.2039 | − | 21.1545i | 0.543471 | − | 1.02614i | ||||
\(426\) | 7.81658 | 0.378715 | ||||||||
\(427\) | 1.94214i | 0.0939868i | ||||||||
\(428\) | 4.51518i | 0.218249i | ||||||||
\(429\) | −6.97107 | −0.336566 | ||||||||
\(430\) | 0.971071 | + | 0.241276i | 0.0468292 | + | 0.0116354i | ||||
\(431\) | 16.6803 | 0.803464 | 0.401732 | − | 0.915757i | \(-0.368408\pi\) | ||||
0.401732 | + | 0.915757i | \(0.368408\pi\) | |||||||
\(432\) | − | 4.60197i | − | 0.221412i | ||||||
\(433\) | − | 28.3135i | − | 1.36066i | −0.732906 | − | 0.680330i | \(-0.761836\pi\) | ||
0.732906 | − | 0.680330i | \(-0.238164\pi\) | |||||||
\(434\) | −2.83710 | −0.136185 | ||||||||
\(435\) | 4.00000 | − | 16.0989i | 0.191785 | − | 0.771883i | ||||
\(436\) | −2.33033 | −0.111603 | ||||||||
\(437\) | − | 31.0349i | − | 1.48460i | ||||||
\(438\) | 1.73594i | 0.0829463i | ||||||||
\(439\) | 27.4452 | 1.30989 | 0.654944 | − | 0.755677i | \(-0.272692\pi\) | ||||
0.654944 | + | 0.755677i | \(0.272692\pi\) | |||||||
\(440\) | −1.35350 | + | 5.44748i | −0.0645258 | + | 0.259698i | ||||
\(441\) | −6.91548 | −0.329309 | ||||||||
\(442\) | − | 51.3705i | − | 2.44345i | ||||||
\(443\) | 0.412408i | 0.0195941i | 0.999952 | + | 0.00979704i | \(0.00311854\pi\) | ||||
−0.999952 | + | 0.00979704i | \(0.996881\pi\) | |||||||
\(444\) | −1.26180 | −0.0598822 | ||||||||
\(445\) | −9.41855 | − | 2.34017i | −0.446482 | − | 0.110935i | ||||
\(446\) | −14.8203 | −0.701761 | ||||||||
\(447\) | − | 1.26180i | − | 0.0596809i | ||||||
\(448\) | 1.75276i | 0.0828100i | ||||||||
\(449\) | −1.33403 | −0.0629568 | −0.0314784 | − | 0.999504i | \(-0.510022\pi\) | ||||
−0.0314784 | + | 0.999504i | \(0.510022\pi\) | |||||||
\(450\) | −3.60197 | + | 6.80098i | −0.169798 | + | 0.320601i | ||||
\(451\) | 7.41855 | 0.349326 | ||||||||
\(452\) | 6.08906i | 0.286405i | ||||||||
\(453\) | − | 1.60197i | − | 0.0752670i | ||||||
\(454\) | 28.3051 | 1.32842 | ||||||||
\(455\) | 4.39803 | + | 1.09275i | 0.206183 | + | 0.0512291i | ||||
\(456\) | 19.4764 | 0.912066 | ||||||||
\(457\) | − | 11.6514i | − | 0.545030i | −0.962151 | − | 0.272515i | \(-0.912145\pi\) | ||
0.962151 | − | 0.272515i | \(-0.0878555\pi\) | |||||||
\(458\) | 26.3980i | 1.23350i | ||||||||
\(459\) | 4.78765 | 0.223469 | ||||||||
\(460\) | 0.796064 | − | 3.20394i | 0.0371167 | − | 0.149384i | ||||
\(461\) | −2.05786 | −0.0958440 | −0.0479220 | − | 0.998851i | \(-0.515260\pi\) | ||||
−0.0479220 | + | 0.998851i | \(0.515260\pi\) | |||||||
\(462\) | − | 0.447480i | − | 0.0208187i | ||||||
\(463\) | 28.7792i | 1.33748i | 0.743494 | + | 0.668742i | \(0.233167\pi\) | ||||
−0.743494 | + | 0.668742i | \(0.766833\pi\) | |||||||
\(464\) | −34.1399 | −1.58491 | ||||||||
\(465\) | 3.41855 | − | 13.7587i | 0.158531 | − | 0.638046i | ||||
\(466\) | −6.32192 | −0.292857 | ||||||||
\(467\) | − | 1.84324i | − | 0.0852952i | −0.999090 | − | 0.0426476i | \(-0.986421\pi\) | ||
0.999090 | − | 0.0426476i | \(-0.0135793\pi\) | |||||||
\(468\) | 2.57304i | 0.118939i | ||||||||
\(469\) | −1.78992 | −0.0826509 | ||||||||
\(470\) | −17.5753 | − | 4.36683i | −0.810688 | − | 0.201427i | ||||
\(471\) | 7.10504 | 0.327383 | ||||||||
\(472\) | 9.04187i | 0.416186i | ||||||||
\(473\) | − | 0.290725i | − | 0.0133675i | ||||||
\(474\) | −1.41855 | −0.0651562 | ||||||||
\(475\) | −34.2823 | − | 18.1568i | −1.57298 | − | 0.833089i | ||||
\(476\) | 0.513749 | 0.0235477 | ||||||||
\(477\) | − | 5.75872i | − | 0.263674i | ||||||
\(478\) | − | 6.72138i | − | 0.307429i | ||||||
\(479\) | −26.8371 | −1.22622 | −0.613109 | − | 0.789998i | \(-0.710081\pi\) | ||||
−0.613109 | + | 0.789998i | \(0.710081\pi\) | |||||||
\(480\) | 4.47641 | + | 1.11223i | 0.204319 | + | 0.0507660i | ||||
\(481\) | −23.8310 | −1.08660 | ||||||||
\(482\) | 8.00984i | 0.364838i | ||||||||
\(483\) | − | 1.16290i | − | 0.0529137i | ||||||
\(484\) | −0.369102 | −0.0167774 | ||||||||
\(485\) | 2.52359 | − | 10.1568i | 0.114590 | − | 0.461195i | ||||
\(486\) | −1.53919 | −0.0698190 | ||||||||
\(487\) | − | 28.5646i | − | 1.29439i | −0.762326 | − | 0.647193i | \(-0.775943\pi\) | ||
0.762326 | − | 0.647193i | \(-0.224057\pi\) | |||||||
\(488\) | 16.7694i | 0.759115i | ||||||||
\(489\) | −22.9360 | −1.03720 | ||||||||
\(490\) | 5.73925 | − | 23.0989i | 0.259273 | − | 1.04350i | ||||
\(491\) | 25.9877 | 1.17281 | 0.586405 | − | 0.810018i | \(-0.300543\pi\) | ||||
0.586405 | + | 0.810018i | \(0.300543\pi\) | |||||||
\(492\) | − | 2.73820i | − | 0.123448i | ||||||
\(493\) | − | 35.5174i | − | 1.59963i | ||||||
\(494\) | −83.2495 | −3.74557 | ||||||||
\(495\) | 2.17009 | + | 0.539189i | 0.0975381 | + | 0.0242347i | ||||
\(496\) | −29.1773 | −1.31010 | ||||||||
\(497\) | 1.47641i | 0.0662260i | ||||||||
\(498\) | − | 2.63090i | − | 0.117893i | ||||||
\(499\) | 27.5174 | 1.23185 | 0.615925 | − | 0.787805i | \(-0.288782\pi\) | ||||
0.615925 | + | 0.787805i | \(0.288782\pi\) | |||||||
\(500\) | −3.07346 | − | 2.75380i | −0.137449 | − | 0.123154i | ||||
\(501\) | −4.81432 | −0.215088 | ||||||||
\(502\) | 12.7480i | 0.568973i | ||||||||
\(503\) | 22.6576i | 1.01025i | 0.863046 | + | 0.505125i | \(0.168554\pi\) | ||||
−0.863046 | + | 0.505125i | \(0.831446\pi\) | |||||||
\(504\) | 0.729794 | 0.0325076 | ||||||||
\(505\) | −18.6225 | − | 4.62702i | −0.828690 | − | 0.205900i | ||||
\(506\) | −6.15676 | −0.273701 | ||||||||
\(507\) | 35.5958i | 1.58087i | ||||||||
\(508\) | 1.79833i | 0.0797880i | ||||||||
\(509\) | 27.8432 | 1.23413 | 0.617065 | − | 0.786912i | \(-0.288322\pi\) | ||||
0.617065 | + | 0.786912i | \(0.288322\pi\) | |||||||
\(510\) | −3.97334 | + | 15.9916i | −0.175942 | + | 0.708119i | ||||
\(511\) | −0.327887 | −0.0145049 | ||||||||
\(512\) | 13.6114i | 0.601546i | ||||||||
\(513\) | − | 7.75872i | − | 0.342556i | ||||||
\(514\) | −16.9627 | −0.748191 | ||||||||
\(515\) | −3.63317 | + | 14.6225i | −0.160096 | + | 0.644344i | ||||
\(516\) | −0.107307 | −0.00472393 | ||||||||
\(517\) | 5.26180i | 0.231413i | ||||||||
\(518\) | − | 1.52973i | − | 0.0672126i | ||||||
\(519\) | −12.8865 | −0.565657 | ||||||||
\(520\) | 37.9748 | + | 9.43537i | 1.66530 | + | 0.413768i | ||||
\(521\) | 29.7009 | 1.30122 | 0.650609 | − | 0.759413i | \(-0.274514\pi\) | ||||
0.650609 | + | 0.759413i | \(0.274514\pi\) | |||||||
\(522\) | 11.4186i | 0.499776i | ||||||||
\(523\) | 24.7565i | 1.08252i | 0.840854 | + | 0.541262i | \(0.182053\pi\) | ||||
−0.840854 | + | 0.541262i | \(0.817947\pi\) | |||||||
\(524\) | 3.20394 | 0.139965 | ||||||||
\(525\) | −1.28458 | − | 0.680346i | −0.0560637 | − | 0.0296927i | ||||
\(526\) | −4.57304 | −0.199394 | ||||||||
\(527\) | − | 30.3545i | − | 1.32226i | ||||||
\(528\) | − | 4.60197i | − | 0.200275i | ||||||
\(529\) | 7.00000 | 0.304348 | ||||||||
\(530\) | 19.2351 | + | 4.77924i | 0.835521 | + | 0.207597i | ||||
\(531\) | 3.60197 | 0.156312 | ||||||||
\(532\) | − | 0.832567i | − | 0.0360963i | ||||||
\(533\) | − | 51.7152i | − | 2.24004i | ||||||
\(534\) | 6.68035 | 0.289087 | ||||||||
\(535\) | 6.59583 | − | 26.5464i | 0.285162 | − | 1.14770i | ||||
\(536\) | −15.4551 | −0.667557 | ||||||||
\(537\) | 1.84324i | 0.0795419i | ||||||||
\(538\) | − | 24.3857i | − | 1.05134i | ||||||
\(539\) | −6.91548 | −0.297871 | ||||||||
\(540\) | 0.199016 | − | 0.800984i | 0.00856428 | − | 0.0344689i | ||||
\(541\) | −12.5236 | −0.538431 | −0.269216 | − | 0.963080i | \(-0.586764\pi\) | ||||
−0.269216 | + | 0.963080i | \(0.586764\pi\) | |||||||
\(542\) | 9.66967i | 0.415348i | ||||||||
\(543\) | − | 10.2823i | − | 0.441256i | ||||||
\(544\) | 9.87587 | 0.423425 | ||||||||
\(545\) | 13.7009 | + | 3.40417i | 0.586881 | + | 0.145819i | ||||
\(546\) | −3.11942 | −0.133499 | ||||||||
\(547\) | 14.2784i | 0.610502i | 0.952272 | + | 0.305251i | \(0.0987404\pi\) | ||||
−0.952272 | + | 0.305251i | \(0.901260\pi\) | |||||||
\(548\) | − | 4.64915i | − | 0.198602i | ||||||
\(549\) | 6.68035 | 0.285110 | ||||||||
\(550\) | −3.60197 | + | 6.80098i | −0.153588 | + | 0.289995i | ||||
\(551\) | −57.5585 | −2.45207 | ||||||||
\(552\) | − | 10.0410i | − | 0.427375i | ||||||
\(553\) | − | 0.267938i | − | 0.0113939i | ||||||
\(554\) | −7.89269 | −0.335328 | ||||||||
\(555\) | 7.41855 | + | 1.84324i | 0.314900 | + | 0.0782414i | ||||
\(556\) | −3.65983 | −0.155211 | ||||||||
\(557\) | 3.57918i | 0.151655i | 0.997121 | + | 0.0758274i | \(0.0241598\pi\) | ||||
−0.997121 | + | 0.0758274i | \(0.975840\pi\) | |||||||
\(558\) | 9.75872i | 0.413120i | ||||||||
\(559\) | −2.02666 | −0.0857187 | ||||||||
\(560\) | −0.721384 | + | 2.90337i | −0.0304840 | + | 0.122690i | ||||
\(561\) | 4.78765 | 0.202135 | ||||||||
\(562\) | − | 33.6910i | − | 1.42117i | ||||||
\(563\) | 28.9588i | 1.22047i | 0.792222 | + | 0.610234i | \(0.208924\pi\) | ||||
−0.792222 | + | 0.610234i | \(0.791076\pi\) | |||||||
\(564\) | 1.94214 | 0.0817789 | ||||||||
\(565\) | 8.89496 | − | 35.7998i | 0.374214 | − | 1.50611i | ||||
\(566\) | 39.9649 | 1.67985 | ||||||||
\(567\) | − | 0.290725i | − | 0.0122093i | ||||||
\(568\) | 12.7480i | 0.534896i | ||||||||
\(569\) | 25.8264 | 1.08270 | 0.541350 | − | 0.840797i | \(-0.317913\pi\) | ||||
0.541350 | + | 0.840797i | \(0.317913\pi\) | |||||||
\(570\) | 25.9155 | + | 6.43907i | 1.08548 | + | 0.269703i | ||||
\(571\) | 17.1194 | 0.716425 | 0.358213 | − | 0.933640i | \(-0.383386\pi\) | ||||
0.358213 | + | 0.933640i | \(0.383386\pi\) | |||||||
\(572\) | 2.57304i | 0.107584i | ||||||||
\(573\) | 11.5174i | 0.481148i | ||||||||
\(574\) | 3.31965 | 0.138560 | ||||||||
\(575\) | −9.36069 | + | 17.6742i | −0.390368 | + | 0.737065i | ||||
\(576\) | 6.02893 | 0.251205 | ||||||||
\(577\) | − | 22.5692i | − | 0.939567i | −0.882782 | − | 0.469783i | \(-0.844332\pi\) | ||
0.882782 | − | 0.469783i | \(-0.155668\pi\) | |||||||
\(578\) | 9.11450i | 0.379113i | ||||||||
\(579\) | 3.86603 | 0.160667 | ||||||||
\(580\) | −5.94214 | − | 1.47641i | −0.246734 | − | 0.0613046i | ||||
\(581\) | 0.496928 | 0.0206161 | ||||||||
\(582\) | 7.20394i | 0.298613i | ||||||||
\(583\) | − | 5.75872i | − | 0.238502i | ||||||
\(584\) | −2.83114 | −0.117153 | ||||||||
\(585\) | 3.75872 | − | 15.1278i | 0.155404 | − | 0.625459i | ||||
\(586\) | 16.0326 | 0.662302 | ||||||||
\(587\) | − | 3.63317i | − | 0.149957i | −0.997185 | − | 0.0749784i | \(-0.976111\pi\) | ||
0.997185 | − | 0.0749784i | \(-0.0238888\pi\) | |||||||
\(588\) | 2.55252i | 0.105264i | ||||||||
\(589\) | −49.1917 | −2.02691 | ||||||||
\(590\) | −2.98932 | + | 12.0312i | −0.123068 | + | 0.495317i | ||||
\(591\) | 8.57304 | 0.352648 | ||||||||
\(592\) | − | 15.7321i | − | 0.646584i | ||||||
\(593\) | 12.3051i | 0.505310i | 0.967556 | + | 0.252655i | \(0.0813037\pi\) | ||||
−0.967556 | + | 0.252655i | \(0.918696\pi\) | |||||||
\(594\) | −1.53919 | −0.0631537 | ||||||||
\(595\) | −3.02052 | − | 0.750491i | −0.123829 | − | 0.0307671i | ||||
\(596\) | −0.465732 | −0.0190771 | ||||||||
\(597\) | 8.31351i | 0.340249i | ||||||||
\(598\) | 42.9192i | 1.75510i | ||||||||
\(599\) | −19.6865 | −0.804368 | −0.402184 | − | 0.915559i | \(-0.631749\pi\) | ||||
−0.402184 | + | 0.915559i | \(0.631749\pi\) | |||||||
\(600\) | −11.0917 | − | 5.87444i | −0.452817 | − | 0.239823i | ||||
\(601\) | 25.8843 | 1.05584 | 0.527921 | − | 0.849294i | \(-0.322972\pi\) | ||||
0.527921 | + | 0.849294i | \(0.322972\pi\) | |||||||
\(602\) | − | 0.130094i | − | 0.00530222i | ||||||
\(603\) | 6.15676i | 0.250722i | ||||||||
\(604\) | −0.591290 | −0.0240593 | ||||||||
\(605\) | 2.17009 | + | 0.539189i | 0.0882266 | + | 0.0219211i | ||||
\(606\) | 13.2085 | 0.536557 | ||||||||
\(607\) | 41.5357i | 1.68588i | 0.538006 | + | 0.842941i | \(0.319178\pi\) | ||||
−0.538006 | + | 0.842941i | \(0.680822\pi\) | |||||||
\(608\) | − | 16.0045i | − | 0.649070i | ||||||
\(609\) | −2.15676 | −0.0873961 | ||||||||
\(610\) | −5.54411 | + | 22.3135i | −0.224474 | + | 0.903448i | ||||
\(611\) | 36.6803 | 1.48393 | ||||||||
\(612\) | − | 1.76713i | − | 0.0714322i | ||||||
\(613\) | − | 20.6453i | − | 0.833855i | −0.908940 | − | 0.416927i | \(-0.863107\pi\) | ||
0.908940 | − | 0.416927i | \(-0.136893\pi\) | |||||||
\(614\) | 44.7442 | 1.80573 | ||||||||
\(615\) | −4.00000 | + | 16.0989i | −0.161296 | + | 0.649170i | ||||
\(616\) | 0.729794 | 0.0294042 | ||||||||
\(617\) | − | 8.69472i | − | 0.350036i | −0.984565 | − | 0.175018i | \(-0.944002\pi\) | ||
0.984565 | − | 0.175018i | \(-0.0559984\pi\) | |||||||
\(618\) | − | 10.3714i | − | 0.417198i | ||||||
\(619\) | −2.65368 | −0.106661 | −0.0533303 | − | 0.998577i | \(-0.516984\pi\) | ||||
−0.0533303 | + | 0.998577i | \(0.516984\pi\) | |||||||
\(620\) | −5.07838 | − | 1.26180i | −0.203953 | − | 0.0506749i | ||||
\(621\) | −4.00000 | −0.160514 | ||||||||
\(622\) | − | 8.38121i | − | 0.336056i | ||||||
\(623\) | 1.26180i | 0.0505528i | ||||||||
\(624\) | −32.0806 | −1.28425 | ||||||||
\(625\) | 14.0472 | + | 20.6803i | 0.561887 | + | 0.827214i | ||||
\(626\) | 38.6225 | 1.54367 | ||||||||
\(627\) | − | 7.75872i | − | 0.309854i | ||||||
\(628\) | − | 2.62249i | − | 0.104649i | ||||||
\(629\) | 16.3668 | 0.652588 | ||||||||
\(630\) | 0.971071 | + | 0.241276i | 0.0386884 | + | 0.00961268i | ||||
\(631\) | −10.6393 | −0.423544 | −0.211772 | − | 0.977319i | \(-0.567923\pi\) | ||||
−0.211772 | + | 0.977319i | \(0.567923\pi\) | |||||||
\(632\) | − | 2.31351i | − | 0.0920265i | ||||||
\(633\) | − | 25.9155i | − | 1.03005i | ||||||
\(634\) | −32.5958 | −1.29455 | ||||||||
\(635\) | 2.62702 | − | 10.5730i | 0.104250 | − | 0.419578i | ||||
\(636\) | −2.12556 | −0.0842839 | ||||||||
\(637\) | 48.2083i | 1.91008i | ||||||||
\(638\) | 11.4186i | 0.452065i | ||||||||
\(639\) | 5.07838 | 0.200898 | ||||||||
\(640\) | −7.22795 | + | 29.0905i | −0.285710 | + | 1.14990i | ||||
\(641\) | −35.8576 | −1.41629 | −0.708145 | − | 0.706067i | \(-0.750468\pi\) | ||||
−0.708145 | + | 0.706067i | \(0.750468\pi\) | |||||||
\(642\) | 18.8287i | 0.743109i | ||||||||
\(643\) | 12.2146i | 0.481697i | 0.970563 | + | 0.240849i | \(0.0774258\pi\) | ||||
−0.970563 | + | 0.240849i | \(0.922574\pi\) | |||||||
\(644\) | −0.429229 | −0.0169140 | ||||||||
\(645\) | 0.630898 | + | 0.156755i | 0.0248416 | + | 0.00617224i | ||||
\(646\) | 57.1748 | 2.24951 | ||||||||
\(647\) | − | 25.9421i | − | 1.01989i | −0.860207 | − | 0.509945i | \(-0.829666\pi\) | ||
0.860207 | − | 0.509945i | \(-0.170334\pi\) | |||||||
\(648\) | − | 2.51026i | − | 0.0986123i | ||||||
\(649\) | 3.60197 | 0.141390 | ||||||||
\(650\) | 47.4101 | + | 25.1096i | 1.85958 | + | 0.984879i | ||||
\(651\) | −1.84324 | −0.0722424 | ||||||||
\(652\) | 8.46573i | 0.331544i | ||||||||
\(653\) | − | 14.3402i | − | 0.561174i | −0.959829 | − | 0.280587i | \(-0.909471\pi\) | ||
0.959829 | − | 0.280587i | \(-0.0905292\pi\) | |||||||
\(654\) | −9.71769 | −0.379992 | ||||||||
\(655\) | −18.8371 | − | 4.68035i | −0.736026 | − | 0.182876i | ||||
\(656\) | 34.1399 | 1.33294 | ||||||||
\(657\) | 1.12783i | 0.0440007i | ||||||||
\(658\) | 2.35455i | 0.0917899i | ||||||||
\(659\) | −6.52359 | −0.254123 | −0.127062 | − | 0.991895i | \(-0.540555\pi\) | ||||
−0.127062 | + | 0.991895i | \(0.540555\pi\) | |||||||
\(660\) | 0.199016 | − | 0.800984i | 0.00774668 | − | 0.0311783i | ||||
\(661\) | 3.16290 | 0.123022 | 0.0615112 | − | 0.998106i | \(-0.480408\pi\) | ||||
0.0615112 | + | 0.998106i | \(0.480408\pi\) | |||||||
\(662\) | 10.3234i | 0.401228i | ||||||||
\(663\) | − | 33.3751i | − | 1.29618i | ||||||
\(664\) | 4.29072 | 0.166512 | ||||||||
\(665\) | −1.21622 | + | 4.89496i | −0.0471631 | + | 0.189818i | ||||
\(666\) | −5.26180 | −0.203890 | ||||||||
\(667\) | 29.6742i | 1.14899i | ||||||||
\(668\) | 1.77698i | 0.0687532i | ||||||||
\(669\) | −9.62863 | −0.372264 | ||||||||
\(670\) | −20.5646 | − | 5.10957i | −0.794481 | − | 0.197400i | ||||
\(671\) | 6.68035 | 0.257892 | ||||||||
\(672\) | − | 0.599701i | − | 0.0231340i | ||||||
\(673\) | − | 18.4885i | − | 0.712680i | −0.934356 | − | 0.356340i | \(-0.884024\pi\) | ||
0.934356 | − | 0.356340i | \(-0.115976\pi\) | |||||||
\(674\) | −36.5562 | −1.40809 | ||||||||
\(675\) | −2.34017 | + | 4.41855i | −0.0900733 | + | 0.170070i | ||||
\(676\) | 13.1385 | 0.505327 | ||||||||
\(677\) | − | 15.0966i | − | 0.580211i | −0.956995 | − | 0.290105i | \(-0.906310\pi\) | ||
0.956995 | − | 0.290105i | \(-0.0936903\pi\) | |||||||
\(678\) | 25.3919i | 0.975170i | ||||||||
\(679\) | −1.36069 | −0.0522186 | ||||||||
\(680\) | −26.0806 | − | 6.48011i | −1.00015 | − | 0.248501i | ||||
\(681\) | 18.3896 | 0.704692 | ||||||||
\(682\) | 9.75872i | 0.373681i | ||||||||
\(683\) | − | 12.4657i | − | 0.476988i | −0.971144 | − | 0.238494i | \(-0.923346\pi\) | ||
0.971144 | − | 0.238494i | \(-0.0766537\pi\) | |||||||
\(684\) | −2.86376 | −0.109499 | ||||||||
\(685\) | −6.79153 | + | 27.3340i | −0.259491 | + | 1.04438i | ||||
\(686\) | −6.22690 | −0.237744 | ||||||||
\(687\) | 17.1506i | 0.654337i | ||||||||
\(688\) | − | 1.33791i | − | 0.0510072i | ||||||
\(689\) | −40.1445 | −1.52938 | ||||||||
\(690\) | 3.31965 | − | 13.3607i | 0.126377 | − | 0.508633i | ||||
\(691\) | −30.7214 | −1.16870 | −0.584348 | − | 0.811503i | \(-0.698650\pi\) | ||||
−0.584348 | + | 0.811503i | \(0.698650\pi\) | |||||||
\(692\) | 4.75646i | 0.180813i | ||||||||
\(693\) | − | 0.290725i | − | 0.0110437i | ||||||
\(694\) | 47.9748 | 1.82110 | ||||||||
\(695\) | 21.5174 | + | 5.34632i | 0.816203 | + | 0.202797i | ||||
\(696\) | −18.6225 | −0.705884 | ||||||||
\(697\) | 35.5174i | 1.34532i | ||||||||
\(698\) | 17.0037i | 0.643599i | ||||||||
\(699\) | −4.10731 | −0.155353 | ||||||||
\(700\) | −0.251117 | + | 0.474142i | −0.00949134 | + | 0.0179209i | ||||
\(701\) | 17.9955 | 0.679679 | 0.339840 | − | 0.940483i | \(-0.389627\pi\) | ||||
0.339840 | + | 0.940483i | \(0.389627\pi\) | |||||||
\(702\) | 10.7298i | 0.404970i | ||||||||
\(703\) | − | 26.5236i | − | 1.00036i | ||||||
\(704\) | 6.02893 | 0.227224 | ||||||||
\(705\) | −11.4186 | − | 2.83710i | −0.430047 | − | 0.106851i | ||||
\(706\) | −42.2245 | −1.58914 | ||||||||
\(707\) | 2.49484i | 0.0938281i | ||||||||
\(708\) | − | 1.32950i | − | 0.0499655i | ||||||
\(709\) | −23.5897 | −0.885929 | −0.442965 | − | 0.896539i | \(-0.646073\pi\) | ||||
−0.442965 | + | 0.896539i | \(0.646073\pi\) | |||||||
\(710\) | −4.21461 | + | 16.9627i | −0.158172 | + | 0.636597i | ||||
\(711\) | −0.921622 | −0.0345635 | ||||||||
\(712\) | 10.8950i | 0.408306i | ||||||||
\(713\) | 25.3607i | 0.949765i | ||||||||
\(714\) | 2.14238 | 0.0801765 | ||||||||
\(715\) | 3.75872 | − | 15.1278i | 0.140568 | − | 0.565749i | ||||
\(716\) | 0.680346 | 0.0254257 | ||||||||
\(717\) | − | 4.36683i | − | 0.163082i | ||||||
\(718\) | − | 29.4764i | − | 1.10005i | ||||||
\(719\) | −24.5646 | −0.916106 | −0.458053 | − | 0.888925i | \(-0.651453\pi\) | ||||
−0.458053 | + | 0.888925i | \(0.651453\pi\) | |||||||
\(720\) | 9.98667 | + | 2.48133i | 0.372181 | + | 0.0924737i | ||||
\(721\) | 1.95896 | 0.0729556 | ||||||||
\(722\) | − | 63.4112i | − | 2.35992i | ||||||
\(723\) | 5.20394i | 0.193536i | ||||||||
\(724\) | −3.79523 | −0.141048 | ||||||||
\(725\) | 32.7792 | + | 17.3607i | 1.21739 | + | 0.644760i | ||||
\(726\) | −1.53919 | −0.0571247 | ||||||||
\(727\) | − | 8.51130i | − | 0.315667i | −0.987466 | − | 0.157833i | \(-0.949549\pi\) | ||
0.987466 | − | 0.157833i | \(-0.0504509\pi\) | |||||||
\(728\) | − | 5.08745i | − | 0.188553i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −3.76713 | − | 0.935998i | −0.139428 | − | 0.0346428i | ||||
\(731\) | 1.39189 | 0.0514809 | ||||||||
\(732\) | − | 2.46573i | − | 0.0911361i | ||||||
\(733\) | − | 29.8615i | − | 1.10296i | −0.834188 | − | 0.551480i | \(-0.814063\pi\) | ||
0.834188 | − | 0.551480i | \(-0.185937\pi\) | |||||||
\(734\) | 22.4247 | 0.827711 | ||||||||
\(735\) | 3.72875 | − | 15.0072i | 0.137537 | − | 0.553548i | ||||
\(736\) | −8.25112 | −0.304140 | ||||||||
\(737\) | 6.15676i | 0.226787i | ||||||||
\(738\) | − | 11.4186i | − | 0.420323i | ||||||
\(739\) | 36.7526 | 1.35197 | 0.675983 | − | 0.736917i | \(-0.263719\pi\) | ||||
0.675983 | + | 0.736917i | \(0.263719\pi\) | |||||||
\(740\) | 0.680346 | − | 2.73820i | 0.0250100 | − | 0.100658i | ||||
\(741\) | −54.0866 | −1.98692 | ||||||||
\(742\) | − | 2.57691i | − | 0.0946015i | ||||||
\(743\) | − | 2.17501i | − | 0.0797933i | −0.999204 | − | 0.0398966i | \(-0.987297\pi\) | ||
0.999204 | − | 0.0398966i | \(-0.0127029\pi\) | |||||||
\(744\) | −15.9155 | −0.583490 | ||||||||
\(745\) | 2.73820 | + | 0.680346i | 0.100320 | + | 0.0249259i | ||||
\(746\) | −13.5669 | −0.496719 | ||||||||
\(747\) | − | 1.70928i | − | 0.0625391i | ||||||
\(748\) | − | 1.76713i | − | 0.0646128i | ||||||
\(749\) | −3.55640 | −0.129948 | ||||||||
\(750\) | −12.8166 | − | 11.4836i | −0.467995 | − | 0.419322i | ||||
\(751\) | −44.4580 | −1.62229 | −0.811147 | − | 0.584842i | \(-0.801157\pi\) | ||||
−0.811147 | + | 0.584842i | \(0.801157\pi\) | |||||||
\(752\) | 24.2146i | 0.883016i | ||||||||
\(753\) | 8.28231i | 0.301824i | ||||||||
\(754\) | 79.5995 | 2.89884 | ||||||||
\(755\) | 3.47641 | + | 0.863763i | 0.126519 | + | 0.0314356i | ||||
\(756\) | −0.107307 | −0.00390272 | ||||||||
\(757\) | 26.4247i | 0.960422i | 0.877153 | + | 0.480211i | \(0.159440\pi\) | ||||
−0.877153 | + | 0.480211i | \(0.840560\pi\) | |||||||
\(758\) | − | 36.1978i | − | 1.31476i | ||||||
\(759\) | −4.00000 | −0.145191 | ||||||||
\(760\) | −10.5015 | + | 42.2655i | −0.380928 | + | 1.53313i | ||||
\(761\) | −27.6163 | −1.00109 | −0.500546 | − | 0.865710i | \(-0.666867\pi\) | ||||
−0.500546 | + | 0.865710i | \(0.666867\pi\) | |||||||
\(762\) | 7.49920i | 0.271667i | ||||||||
\(763\) | − | 1.83549i | − | 0.0664493i | ||||||
\(764\) | 4.25112 | 0.153800 | ||||||||
\(765\) | −2.58145 | + | 10.3896i | −0.0933325 | + | 0.375638i | ||||
\(766\) | −29.7107 | −1.07349 | ||||||||
\(767\) | − | 25.1096i | − | 0.906654i | ||||||
\(768\) | − | 8.57531i | − | 0.309435i | ||||||
\(769\) | −27.8432 | −1.00405 | −0.502027 | − | 0.864852i | \(-0.667412\pi\) | ||||
−0.502027 | + | 0.864852i | \(0.667412\pi\) | |||||||
\(770\) | 0.971071 | + | 0.241276i | 0.0349950 | + | 0.00869499i | ||||
\(771\) | −11.0205 | −0.396894 | ||||||||
\(772\) | − | 1.42696i | − | 0.0513575i | ||||||
\(773\) | − | 18.0267i | − | 0.648374i | −0.945993 | − | 0.324187i | \(-0.894909\pi\) | ||
0.945993 | − | 0.324187i | \(-0.105091\pi\) | |||||||
\(774\) | −0.447480 | −0.0160843 | ||||||||
\(775\) | 28.0144 | + | 14.8371i | 1.00631 | + | 0.532964i | ||||
\(776\) | −11.7489 | −0.421760 | ||||||||
\(777\) | − | 0.993857i | − | 0.0356544i | ||||||
\(778\) | − | 30.8469i | − | 1.10592i | ||||||
\(779\) | 57.5585 | 2.06225 | ||||||||
\(780\) | −5.58372 | − | 1.38735i | −0.199929 | &minus |