Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(3,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bg (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 91.12 | ||
Character | \(\chi\) | \(=\) | 304.91 |
Dual form | 304.2.bg.a.147.12 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.733488 | − | 1.20913i | −0.518655 | − | 0.854984i | ||||
\(3\) | −2.46787 | − | 1.72802i | −1.42482 | − | 0.997673i | −0.995524 | − | 0.0945109i | \(-0.969871\pi\) |
−0.429300 | − | 0.903162i | \(-0.641240\pi\) | |||||||
\(4\) | −0.923990 | + | 1.77377i | −0.461995 | + | 0.886883i | ||||
\(5\) | 3.64398 | + | 0.318807i | 1.62964 | + | 0.142575i | 0.864961 | − | 0.501840i | \(-0.167343\pi\) |
0.764676 | + | 0.644415i | \(0.222899\pi\) | |||||||
\(6\) | −0.279248 | + | 4.25146i | −0.114002 | + | 1.73565i | ||||
\(7\) | 1.89078 | − | 3.27492i | 0.714646 | − | 1.23780i | −0.248450 | − | 0.968645i | \(-0.579921\pi\) |
0.963096 | − | 0.269158i | \(-0.0867455\pi\) | |||||||
\(8\) | 2.82245 | − | 0.183813i | 0.997886 | − | 0.0649877i | ||||
\(9\) | 2.07826 | + | 5.70997i | 0.692753 | + | 1.90332i | ||||
\(10\) | −2.28734 | − | 4.63988i | −0.723320 | − | 1.46726i | ||||
\(11\) | 3.77001 | + | 1.01017i | 1.13670 | + | 0.304578i | 0.777624 | − | 0.628730i | \(-0.216425\pi\) |
0.359077 | + | 0.933308i | \(0.383091\pi\) | |||||||
\(12\) | 5.34539 | − | 2.78075i | 1.54308 | − | 0.802732i | ||||
\(13\) | 2.26715 | − | 1.58747i | 0.628794 | − | 0.440286i | −0.215251 | − | 0.976559i | \(-0.569057\pi\) |
0.844045 | + | 0.536273i | \(0.180168\pi\) | |||||||
\(14\) | −5.34666 | + | 0.115922i | −1.42896 | + | 0.0309816i | ||||
\(15\) | −8.44195 | − | 7.08364i | −2.17970 | − | 1.82899i | ||||
\(16\) | −2.29249 | − | 3.27788i | −0.573122 | − | 0.819470i | ||||
\(17\) | −1.60383 | − | 0.583747i | −0.388986 | − | 0.141579i | 0.140121 | − | 0.990134i | \(-0.455251\pi\) |
−0.529107 | + | 0.848555i | \(0.677473\pi\) | |||||||
\(18\) | 5.37972 | − | 6.70108i | 1.26801 | − | 1.57946i | ||||
\(19\) | −2.00439 | + | 3.87071i | −0.459838 | + | 0.888003i | ||||
\(20\) | −3.93249 | + | 6.16899i | −0.879331 | + | 1.37943i | ||||
\(21\) | −10.3253 | + | 4.81477i | −2.25317 | + | 1.05067i | ||||
\(22\) | −1.54383 | − | 5.29938i | −0.329146 | − | 1.12983i | ||||
\(23\) | −0.956517 | − | 0.802613i | −0.199448 | − | 0.167356i | 0.537594 | − | 0.843204i | \(-0.319333\pi\) |
−0.737041 | + | 0.675848i | \(0.763778\pi\) | |||||||
\(24\) | −7.28306 | − | 4.42362i | −1.48665 | − | 0.902968i | ||||
\(25\) | 8.25290 | + | 1.45521i | 1.65058 | + | 0.291042i | ||||
\(26\) | −3.58239 | − | 1.57688i | −0.702564 | − | 0.309252i | ||||
\(27\) | 2.39883 | − | 8.95257i | 0.461656 | − | 1.72292i | ||||
\(28\) | 4.06188 | + | 6.37978i | 0.767623 | + | 1.20567i | ||||
\(29\) | −1.49529 | − | 0.697266i | −0.277669 | − | 0.129479i | 0.278796 | − | 0.960350i | \(-0.410065\pi\) |
−0.556465 | + | 0.830871i | \(0.687843\pi\) | |||||||
\(30\) | −2.37297 | + | 15.4032i | −0.433242 | + | 2.81222i | ||||
\(31\) | 0.632105 | − | 1.09484i | 0.113529 | − | 0.196639i | −0.803662 | − | 0.595087i | \(-0.797118\pi\) |
0.917191 | + | 0.398448i | \(0.130451\pi\) | |||||||
\(32\) | −2.28187 | + | 5.17620i | −0.403382 | + | 0.915032i | ||||
\(33\) | −7.55829 | − | 9.00762i | −1.31573 | − | 1.56803i | ||||
\(34\) | 0.470566 | + | 2.36741i | 0.0807014 | + | 0.406008i | ||||
\(35\) | 7.93401 | − | 11.3309i | 1.34109 | − | 1.91528i | ||||
\(36\) | −12.0484 | − | 1.58961i | −2.00807 | − | 0.264935i | ||||
\(37\) | −1.77674 | + | 1.77674i | −0.292095 | + | 0.292095i | −0.837907 | − | 0.545812i | \(-0.816221\pi\) |
0.545812 | + | 0.837907i | \(0.316221\pi\) | |||||||
\(38\) | 6.15039 | − | 0.415560i | 0.997725 | − | 0.0674128i | ||||
\(39\) | −8.33821 | −1.33518 | ||||||||
\(40\) | 10.3435 | + | 0.230005i | 1.63546 | + | 0.0363669i | ||||
\(41\) | −1.13097 | − | 6.41407i | −0.176628 | − | 1.00171i | −0.936247 | − | 0.351341i | \(-0.885726\pi\) |
0.759619 | − | 0.650368i | \(-0.225385\pi\) | |||||||
\(42\) | 13.3952 | + | 8.95306i | 2.06692 | + | 1.38149i | ||||
\(43\) | −0.245521 | + | 2.80632i | −0.0374416 | + | 0.427959i | 0.954221 | + | 0.299101i | \(0.0966868\pi\) |
−0.991663 | + | 0.128858i | \(0.958869\pi\) | |||||||
\(44\) | −5.27526 | + | 5.75373i | −0.795275 | + | 0.867407i | ||||
\(45\) | 5.75276 | + | 21.4696i | 0.857570 | + | 3.20050i | ||||
\(46\) | −0.268869 | + | 1.74526i | −0.0396426 | + | 0.257325i | ||||
\(47\) | −3.53614 | − | 9.71546i | −0.515799 | − | 1.41715i | −0.875108 | − | 0.483928i | \(-0.839210\pi\) |
0.359309 | − | 0.933219i | \(-0.383012\pi\) | |||||||
\(48\) | −0.00668870 | + | 12.0508i | −0.000965430 | + | 1.73939i | ||||
\(49\) | −3.65006 | − | 6.32209i | −0.521437 | − | 0.903156i | ||||
\(50\) | −4.29387 | − | 11.0462i | −0.607245 | − | 1.56217i | ||||
\(51\) | 2.94932 | + | 4.21206i | 0.412987 | + | 0.589807i | ||||
\(52\) | 0.720986 | + | 5.48820i | 0.0999827 | + | 0.761076i | ||||
\(53\) | 2.28205 | − | 0.199654i | 0.313464 | − | 0.0274245i | 0.0706616 | − | 0.997500i | \(-0.477489\pi\) |
0.242802 | + | 0.970076i | \(0.421933\pi\) | |||||||
\(54\) | −12.5843 | + | 3.66610i | −1.71251 | + | 0.498893i | ||||
\(55\) | 13.4158 | + | 4.88295i | 1.80899 | + | 0.658417i | ||||
\(56\) | 4.73464 | − | 9.59084i | 0.632693 | − | 1.28163i | ||||
\(57\) | 11.6352 | − | 6.08879i | 1.54112 | − | 0.806480i | ||||
\(58\) | 0.253694 | + | 2.31944i | 0.0333117 | + | 0.304557i | ||||
\(59\) | 6.09008 | + | 13.0602i | 0.792861 | + | 1.70030i | 0.710504 | + | 0.703693i | \(0.248467\pi\) |
0.0823564 | + | 0.996603i | \(0.473755\pi\) | |||||||
\(60\) | 20.3650 | − | 8.42884i | 2.62911 | − | 1.08816i | ||||
\(61\) | 0.600312 | − | 0.0525205i | 0.0768621 | − | 0.00672456i | −0.0486598 | − | 0.998815i | \(-0.515495\pi\) |
0.125522 | + | 0.992091i | \(0.459939\pi\) | |||||||
\(62\) | −1.78744 | + | 0.0387540i | −0.227005 | + | 0.00492176i | ||||
\(63\) | 22.6292 | + | 3.99014i | 2.85101 | + | 0.502711i | ||||
\(64\) | 7.93243 | − | 1.03761i | 0.991553 | − | 0.129701i | ||||
\(65\) | 8.76754 | − | 5.06194i | 1.08748 | − | 0.627856i | ||||
\(66\) | −5.34747 | + | 15.7459i | −0.658228 | + | 1.93819i | ||||
\(67\) | −4.31095 | + | 9.24486i | −0.526666 | + | 1.12944i | 0.445529 | + | 0.895267i | \(0.353016\pi\) |
−0.972195 | + | 0.234172i | \(0.924762\pi\) | |||||||
\(68\) | 2.51735 | − | 2.30544i | 0.305274 | − | 0.279576i | ||||
\(69\) | 0.973626 | + | 3.63362i | 0.117211 | + | 0.437437i | ||||
\(70\) | −19.5201 | − | 1.28213i | −2.33310 | − | 0.153244i | ||||
\(71\) | −8.81768 | − | 10.5085i | −1.04647 | − | 1.24713i | −0.968195 | − | 0.250198i | \(-0.919504\pi\) |
−0.0782714 | − | 0.996932i | \(-0.524940\pi\) | |||||||
\(72\) | 6.91535 | + | 15.7341i | 0.814982 | + | 1.85428i | ||||
\(73\) | −6.36088 | + | 1.12160i | −0.744485 | + | 0.131273i | −0.533008 | − | 0.846110i | \(-0.678938\pi\) |
−0.211477 | + | 0.977383i | \(0.567827\pi\) | |||||||
\(74\) | 3.45154 | + | 0.845093i | 0.401233 | + | 0.0982401i | ||||
\(75\) | −17.8524 | − | 17.8524i | −2.06142 | − | 2.06142i | ||||
\(76\) | −5.01371 | − | 7.13181i | −0.575112 | − | 0.818075i | ||||
\(77\) | 10.4365 | − | 10.4365i | 1.18935 | − | 1.18935i | ||||
\(78\) | 6.11598 | + | 10.0820i | 0.692498 | + | 1.14156i | ||||
\(79\) | 2.26858 | + | 12.8657i | 0.255235 | + | 1.44751i | 0.795469 | + | 0.605994i | \(0.207225\pi\) |
−0.540234 | + | 0.841515i | \(0.681664\pi\) | |||||||
\(80\) | −7.30876 | − | 12.6754i | −0.817144 | − | 1.41715i | ||||
\(81\) | −7.42578 | + | 6.23097i | −0.825086 | + | 0.692330i | ||||
\(82\) | −6.92589 | + | 6.07214i | −0.764836 | + | 0.670556i | ||||
\(83\) | −10.0068 | + | 2.68132i | −1.09839 | + | 0.294313i | −0.762109 | − | 0.647449i | \(-0.775836\pi\) |
−0.336281 | + | 0.941762i | \(0.609169\pi\) | |||||||
\(84\) | 1.00020 | − | 22.7635i | 0.109131 | − | 2.48370i | ||||
\(85\) | −5.65823 | − | 2.63847i | −0.613721 | − | 0.286183i | ||||
\(86\) | 3.57329 | − | 1.76153i | 0.385318 | − | 0.189951i | ||||
\(87\) | 2.48529 | + | 4.30466i | 0.266451 | + | 0.461507i | ||||
\(88\) | 10.8263 | + | 2.15818i | 1.15409 | + | 0.230063i | ||||
\(89\) | 0.976578 | − | 5.53845i | 0.103517 | − | 0.587075i | −0.888285 | − | 0.459292i | \(-0.848103\pi\) |
0.991802 | − | 0.127782i | \(-0.0407859\pi\) | |||||||
\(90\) | 21.7399 | − | 22.7035i | 2.29159 | − | 2.39316i | ||||
\(91\) | −0.912182 | − | 10.4263i | −0.0956226 | − | 1.09297i | ||||
\(92\) | 2.30746 | − | 0.955030i | 0.240569 | − | 0.0995688i | ||||
\(93\) | −3.45185 | + | 1.60963i | −0.357941 | + | 0.166910i | ||||
\(94\) | −9.15354 | + | 11.4018i | −0.944116 | + | 1.17601i | ||||
\(95\) | −8.53795 | + | 13.4658i | −0.875976 | + | 1.38156i | ||||
\(96\) | 14.5759 | − | 8.83106i | 1.48765 | − | 0.901317i | ||||
\(97\) | −2.06319 | + | 5.66857i | −0.209485 | + | 0.575556i | −0.999285 | − | 0.0378088i | \(-0.987962\pi\) |
0.789800 | + | 0.613365i | \(0.210184\pi\) | |||||||
\(98\) | −4.96695 | + | 9.05058i | −0.501738 | + | 0.914247i | ||||
\(99\) | 2.06701 | + | 23.6261i | 0.207743 | + | 2.37451i | ||||
\(100\) | −10.2068 | + | 13.2941i | −1.02068 | + | 1.32941i | ||||
\(101\) | −2.75959 | + | 1.93228i | −0.274589 | + | 0.192269i | −0.702757 | − | 0.711430i | \(-0.748048\pi\) |
0.428168 | + | 0.903699i | \(0.359159\pi\) | |||||||
\(102\) | 2.92964 | − | 6.65561i | 0.290078 | − | 0.659003i | ||||
\(103\) | 4.57104 | − | 2.63909i | 0.450398 | − | 0.260037i | −0.257600 | − | 0.966252i | \(-0.582932\pi\) |
0.707998 | + | 0.706214i | \(0.249598\pi\) | |||||||
\(104\) | 6.10711 | − | 4.89730i | 0.598851 | − | 0.480219i | ||||
\(105\) | −39.1602 | + | 14.2531i | −3.82164 | + | 1.39096i | ||||
\(106\) | −1.91526 | − | 2.61285i | −0.186027 | − | 0.253783i | ||||
\(107\) | 5.07381 | − | 1.35952i | 0.490504 | − | 0.131430i | −0.00508556 | − | 0.999987i | \(-0.501619\pi\) |
0.495589 | + | 0.868557i | \(0.334952\pi\) | |||||||
\(108\) | 13.6633 | + | 12.5270i | 1.31475 | + | 1.20542i | ||||
\(109\) | 4.89293 | + | 0.428076i | 0.468658 | + | 0.0410023i | 0.319039 | − | 0.947741i | \(-0.396640\pi\) |
0.149619 | + | 0.988744i | \(0.452195\pi\) | |||||||
\(110\) | −3.93621 | − | 19.8030i | −0.375303 | − | 1.88814i | ||||
\(111\) | 7.45502 | − | 1.31452i | 0.707599 | − | 0.124769i | ||||
\(112\) | −15.0694 | + | 1.30997i | −1.42392 | + | 0.123781i | ||||
\(113\) | 5.51796i | 0.519086i | 0.965732 | + | 0.259543i | \(0.0835719\pi\) | ||||
−0.965732 | + | 0.259543i | \(0.916428\pi\) | |||||||
\(114\) | −15.8964 | − | 9.60245i | −1.48884 | − | 0.899352i | ||||
\(115\) | −3.22965 | − | 3.22965i | −0.301166 | − | 0.301166i | ||||
\(116\) | 2.61842 | − | 2.00803i | 0.243114 | − | 0.186441i | ||||
\(117\) | 13.7762 | + | 9.64617i | 1.27361 | + | 0.891789i | ||||
\(118\) | 11.3245 | − | 16.9432i | 1.04250 | − | 1.55975i | ||||
\(119\) | −4.94421 | + | 4.14868i | −0.453235 | + | 0.380309i | ||||
\(120\) | −25.1290 | − | 18.4415i | −2.29396 | − | 1.68347i | ||||
\(121\) | 3.66626 | + | 2.11672i | 0.333297 | + | 0.192429i | ||||
\(122\) | −0.503826 | − | 0.687332i | −0.0456143 | − | 0.0622281i | ||||
\(123\) | −8.29255 | + | 17.7834i | −0.747714 | + | 1.60348i | ||||
\(124\) | 1.35793 | + | 2.13282i | 0.121945 | + | 0.191533i | ||||
\(125\) | 11.9432 | + | 3.20017i | 1.06823 | + | 0.286232i | ||||
\(126\) | −11.7737 | − | 30.2884i | −1.04888 | − | 2.69830i | ||||
\(127\) | 1.93761 | − | 10.9887i | 0.171935 | − | 0.975092i | −0.769687 | − | 0.638421i | \(-0.779588\pi\) |
0.941622 | − | 0.336671i | \(-0.109301\pi\) | |||||||
\(128\) | −7.07294 | − | 8.83026i | −0.625166 | − | 0.780492i | ||||
\(129\) | 5.45528 | − | 6.50135i | 0.480311 | − | 0.572412i | ||||
\(130\) | −12.5514 | − | 6.88822i | −1.10083 | − | 0.604137i | ||||
\(131\) | −5.44817 | − | 11.6836i | −0.476009 | − | 1.02080i | −0.986926 | − | 0.161174i | \(-0.948472\pi\) |
0.510917 | − | 0.859630i | \(-0.329306\pi\) | |||||||
\(132\) | 22.9612 | − | 5.08369i | 1.99852 | − | 0.442478i | ||||
\(133\) | 8.88643 | + | 13.8829i | 0.770551 | + | 1.20380i | ||||
\(134\) | 14.3403 | − | 1.56850i | 1.23881 | − | 0.135498i | ||||
\(135\) | 11.5954 | − | 31.8582i | 0.997976 | − | 2.74192i | ||||
\(136\) | −4.63403 | − | 1.35279i | −0.397365 | − | 0.116001i | ||||
\(137\) | −13.4879 | + | 16.0743i | −1.15235 | + | 1.37332i | −0.236583 | + | 0.971611i | \(0.576028\pi\) |
−0.915768 | + | 0.401707i | \(0.868417\pi\) | |||||||
\(138\) | 3.67938 | − | 3.84246i | 0.313209 | − | 0.327092i | ||||
\(139\) | 2.79348 | + | 3.98950i | 0.236940 | + | 0.338385i | 0.919958 | − | 0.392016i | \(-0.128222\pi\) |
−0.683019 | + | 0.730401i | \(0.739333\pi\) | |||||||
\(140\) | 12.7675 | + | 24.5427i | 1.07905 | + | 2.07424i | ||||
\(141\) | −8.06179 | + | 30.0870i | −0.678925 | + | 2.53378i | ||||
\(142\) | −6.23848 | + | 18.3696i | −0.523521 | + | 1.54154i | ||||
\(143\) | 10.1508 | − | 3.69459i | 0.848852 | − | 0.308957i | ||||
\(144\) | 13.9522 | − | 19.9023i | 1.16269 | − | 1.65853i | ||||
\(145\) | −5.22652 | − | 3.01753i | −0.434039 | − | 0.250592i | ||||
\(146\) | 6.02179 | + | 6.86846i | 0.498367 | + | 0.568438i | ||||
\(147\) | −1.91683 | + | 21.9095i | −0.158097 | + | 1.80706i | ||||
\(148\) | −1.50983 | − | 4.79322i | −0.124108 | − | 0.394000i | ||||
\(149\) | 7.41927 | − | 10.5958i | 0.607811 | − | 0.868043i | −0.390814 | − | 0.920470i | \(-0.627807\pi\) |
0.998625 | + | 0.0524262i | \(0.0166954\pi\) | |||||||
\(150\) | −8.49136 | + | 34.6805i | −0.693317 | + | 2.83165i | ||||
\(151\) | 19.5164i | 1.58822i | 0.607773 | + | 0.794111i | \(0.292063\pi\) | ||||
−0.607773 | + | 0.794111i | \(0.707937\pi\) | |||||||
\(152\) | −4.94579 | + | 11.2933i | −0.401157 | + | 0.916009i | ||||
\(153\) | − | 10.3710i | − | 0.838447i | ||||||
\(154\) | −20.2741 | − | 4.96402i | −1.63373 | − | 0.400012i | ||||
\(155\) | 2.65242 | − | 3.78805i | 0.213047 | − | 0.304263i | ||||
\(156\) | 7.70442 | − | 14.7900i | 0.616847 | − | 1.18415i | ||||
\(157\) | −0.0949328 | + | 1.08509i | −0.00757646 | + | 0.0865993i | −0.999041 | − | 0.0437737i | \(-0.986062\pi\) |
0.991465 | + | 0.130373i | \(0.0416175\pi\) | |||||||
\(158\) | 13.8924 | − | 12.1799i | 1.10522 | − | 0.968979i | ||||
\(159\) | −5.97681 | − | 3.45071i | −0.473991 | − | 0.273659i | ||||
\(160\) | −9.96530 | + | 18.1345i | −0.787826 | + | 1.43366i | ||||
\(161\) | −4.43705 | + | 1.61495i | −0.349689 | + | 0.127276i | ||||
\(162\) | 12.9808 | + | 4.40839i | 1.01987 | + | 0.346356i | ||||
\(163\) | 0.142244 | − | 0.530861i | 0.0111414 | − | 0.0415802i | −0.960131 | − | 0.279549i | \(-0.909815\pi\) |
0.971273 | + | 0.237969i | \(0.0764817\pi\) | |||||||
\(164\) | 12.4221 | + | 3.92045i | 0.970000 | + | 0.306136i | ||||
\(165\) | −24.6706 | − | 35.2332i | −1.92060 | − | 2.74290i | ||||
\(166\) | 10.5819 | + | 10.1328i | 0.821317 | + | 0.786459i | ||||
\(167\) | 5.88840 | − | 7.01753i | 0.455658 | − | 0.543032i | −0.488483 | − | 0.872573i | \(-0.662450\pi\) |
0.944141 | + | 0.329541i | \(0.106894\pi\) | |||||||
\(168\) | −28.2576 | + | 15.4874i | −2.18012 | + | 1.19488i | ||||
\(169\) | −1.82637 | + | 5.01792i | −0.140490 | + | 0.385994i | ||||
\(170\) | 0.959986 | + | 8.77682i | 0.0736275 | + | 0.673151i | ||||
\(171\) | −26.2673 | − | 3.40064i | −2.00871 | − | 0.260054i | ||||
\(172\) | −4.75089 | − | 3.02850i | −0.362252 | − | 0.230921i | ||||
\(173\) | 1.47770 | + | 3.16895i | 0.112348 | + | 0.240930i | 0.954440 | − | 0.298403i | \(-0.0964540\pi\) |
−0.842092 | + | 0.539334i | \(0.818676\pi\) | |||||||
\(174\) | 3.38195 | − | 6.16246i | 0.256385 | − | 0.467175i | ||||
\(175\) | 20.3701 | − | 24.2761i | 1.53983 | − | 1.83510i | ||||
\(176\) | −5.33148 | − | 14.6735i | −0.401875 | − | 1.10605i | ||||
\(177\) | 7.53880 | − | 42.7547i | 0.566651 | − | 3.21364i | ||||
\(178\) | −7.41302 | + | 2.88158i | −0.555629 | + | 0.215984i | ||||
\(179\) | 1.29633 | + | 0.347352i | 0.0968925 | + | 0.0259623i | 0.306940 | − | 0.951729i | \(-0.400695\pi\) |
−0.210047 | + | 0.977691i | \(0.567362\pi\) | |||||||
\(180\) | −43.3975 | − | 9.63363i | −3.23466 | − | 0.718048i | ||||
\(181\) | 3.06612 | − | 6.57531i | 0.227903 | − | 0.488739i | −0.758790 | − | 0.651335i | \(-0.774209\pi\) |
0.986693 | + | 0.162597i | \(0.0519869\pi\) | |||||||
\(182\) | −11.9377 | + | 8.75050i | −0.884878 | + | 0.648631i | ||||
\(183\) | −1.57225 | − | 0.907737i | −0.116224 | − | 0.0671019i | ||||
\(184\) | −2.84725 | − | 2.08951i | −0.209902 | − | 0.154041i | ||||
\(185\) | −7.04086 | + | 5.90798i | −0.517654 | + | 0.434363i | ||||
\(186\) | 4.47814 | + | 2.99310i | 0.328353 | + | 0.219465i | ||||
\(187\) | −5.45678 | − | 3.82088i | −0.399039 | − | 0.279410i | ||||
\(188\) | 20.5003 | + | 2.70471i | 1.49514 | + | 0.197261i | ||||
\(189\) | −24.7833 | − | 24.7833i | −1.80272 | − | 1.80272i | ||||
\(190\) | 22.5444 | + | 0.446494i | 1.63554 | + | 0.0323921i | ||||
\(191\) | 10.7177i | 0.775508i | 0.921763 | + | 0.387754i | \(0.126749\pi\) | ||||
−0.921763 | + | 0.387754i | \(0.873251\pi\) | |||||||
\(192\) | −21.3692 | − | 11.1467i | −1.54219 | − | 0.804445i | ||||
\(193\) | 9.13687 | − | 1.61108i | 0.657686 | − | 0.115968i | 0.165162 | − | 0.986266i | \(-0.447185\pi\) |
0.492524 | + | 0.870299i | \(0.336074\pi\) | |||||||
\(194\) | 8.36736 | − | 1.66316i | 0.600742 | − | 0.119408i | ||||
\(195\) | −30.3843 | − | 2.65828i | −2.17586 | − | 0.190363i | ||||
\(196\) | 14.5865 | − | 0.632806i | 1.04189 | − | 0.0452004i | ||||
\(197\) | 16.8751 | − | 4.52167i | 1.20230 | − | 0.322156i | 0.398565 | − | 0.917140i | \(-0.369508\pi\) |
0.803737 | + | 0.594984i | \(0.202842\pi\) | |||||||
\(198\) | 27.0508 | − | 19.8287i | 1.92242 | − | 1.40917i | ||||
\(199\) | −5.62317 | + | 2.04667i | −0.398616 | + | 0.145084i | −0.533547 | − | 0.845771i | \(-0.679141\pi\) |
0.134931 | + | 0.990855i | \(0.456919\pi\) | |||||||
\(200\) | 23.5609 | + | 2.59026i | 1.66601 | + | 0.183159i | ||||
\(201\) | 26.6141 | − | 15.3657i | 1.87722 | − | 1.08381i | ||||
\(202\) | 4.36051 | + | 1.91939i | 0.306804 | + | 0.135048i | ||||
\(203\) | −5.11075 | + | 3.57859i | −0.358704 | + | 0.251168i | ||||
\(204\) | −10.1964 | + | 1.33950i | −0.713887 | + | 0.0937835i | ||||
\(205\) | −2.07639 | − | 23.7333i | −0.145022 | − | 1.65761i | ||||
\(206\) | −6.54381 | − | 3.59124i | −0.455929 | − | 0.250213i | ||||
\(207\) | 2.59501 | − | 7.12972i | 0.180365 | − | 0.495550i | ||||
\(208\) | −10.4010 | − | 3.79218i | −0.721177 | − | 0.262940i | ||||
\(209\) | −11.4666 | + | 12.5679i | −0.793165 | + | 0.869337i | ||||
\(210\) | 45.9574 | + | 36.8952i | 3.17136 | + | 2.54601i | ||||
\(211\) | 6.44536 | − | 3.00552i | 0.443717 | − | 0.206908i | −0.187902 | − | 0.982188i | \(-0.560169\pi\) |
0.631619 | + | 0.775279i | \(0.282391\pi\) | |||||||
\(212\) | −1.75445 | + | 4.23230i | −0.120496 | + | 0.290676i | ||||
\(213\) | 3.60197 | + | 41.1707i | 0.246803 | + | 2.82097i | ||||
\(214\) | −5.36542 | − | 5.13770i | −0.366773 | − | 0.351206i | ||||
\(215\) | −1.78935 | + | 10.1479i | −0.122032 | + | 0.692080i | ||||
\(216\) | 5.12498 | − | 25.7091i | 0.348711 | − | 1.74928i | ||||
\(217\) | −2.39034 | − | 4.14019i | −0.162267 | − | 0.281054i | ||||
\(218\) | −3.07131 | − | 6.23018i | −0.208015 | − | 0.421961i | ||||
\(219\) | 17.6360 | + | 8.22378i | 1.19173 | + | 0.555712i | ||||
\(220\) | −21.0573 | + | 19.2847i | −1.41968 | + | 1.30017i | ||||
\(221\) | −4.56281 | + | 1.22260i | −0.306928 | + | 0.0822410i | ||||
\(222\) | −7.05760 | − | 8.04990i | −0.473675 | − | 0.540274i | ||||
\(223\) | −8.25287 | + | 6.92498i | −0.552653 | + | 0.463731i | −0.875838 | − | 0.482605i | \(-0.839691\pi\) |
0.323185 | + | 0.946336i | \(0.395246\pi\) | |||||||
\(224\) | 12.6371 | + | 17.2600i | 0.844354 | + | 1.15323i | ||||
\(225\) | 8.84247 | + | 50.1482i | 0.589498 | + | 3.34321i | ||||
\(226\) | 6.67193 | − | 4.04736i | 0.443810 | − | 0.269226i | ||||
\(227\) | 14.4976 | − | 14.4976i | 0.962237 | − | 0.962237i | −0.0370758 | − | 0.999312i | \(-0.511804\pi\) |
0.999312 | + | 0.0370758i | \(0.0118043\pi\) | |||||||
\(228\) | 0.0492537 | + | 26.2642i | 0.00326190 | + | 1.73939i | ||||
\(229\) | 3.21293 | + | 3.21293i | 0.212316 | + | 0.212316i | 0.805251 | − | 0.592934i | \(-0.202031\pi\) |
−0.592934 | + | 0.805251i | \(0.702031\pi\) | |||||||
\(230\) | −1.53615 | + | 6.27397i | −0.101291 | + | 0.413694i | ||||
\(231\) | −43.7903 | + | 7.72141i | −2.88119 | + | 0.508031i | ||||
\(232\) | −4.34855 | − | 1.69314i | −0.285496 | − | 0.111160i | ||||
\(233\) | 9.70104 | + | 11.5613i | 0.635536 | + | 0.757403i | 0.983658 | − | 0.180047i | \(-0.0576248\pi\) |
−0.348122 | + | 0.937449i | \(0.613180\pi\) | |||||||
\(234\) | 1.55882 | − | 23.7325i | 0.101903 | − | 1.55144i | ||||
\(235\) | −9.78826 | − | 36.5303i | −0.638516 | − | 2.38297i | ||||
\(236\) | −28.7929 | − | 1.26513i | −1.87426 | − | 0.0823531i | ||||
\(237\) | 16.6337 | − | 35.6711i | 1.08048 | − | 2.31709i | ||||
\(238\) | 8.64282 | + | 2.93518i | 0.560231 | + | 0.190259i | ||||
\(239\) | 6.62625 | − | 3.82567i | 0.428617 | − | 0.247462i | −0.270141 | − | 0.962821i | \(-0.587070\pi\) |
0.698757 | + | 0.715359i | \(0.253737\pi\) | |||||||
\(240\) | −3.86626 | + | 43.9109i | −0.249566 | + | 2.83443i | ||||
\(241\) | 29.5489 | + | 5.21026i | 1.90341 | + | 0.335622i | 0.996349 | − | 0.0853773i | \(-0.0272096\pi\) |
0.907061 | + | 0.421000i | \(0.138321\pi\) | |||||||
\(242\) | −0.129775 | − | 5.98557i | −0.00834224 | − | 0.384767i | ||||
\(243\) | 1.39375 | − | 0.121937i | 0.0894090 | − | 0.00782227i | ||||
\(244\) | −0.461523 | + | 1.11334i | −0.0295460 | + | 0.0712743i | ||||
\(245\) | −11.2852 | − | 24.2012i | −0.720986 | − | 1.54616i | ||||
\(246\) | 27.5850 | − | 3.01717i | 1.75875 | − | 0.192368i | ||||
\(247\) | 1.60042 | + | 11.9574i | 0.101832 | + | 0.760831i | ||||
\(248\) | 1.58284 | − | 3.20631i | 0.100510 | − | 0.203601i | ||||
\(249\) | 29.3288 | + | 10.6748i | 1.85864 | + | 0.676490i | ||||
\(250\) | −4.89077 | − | 16.7881i | −0.309320 | − | 1.06178i | ||||
\(251\) | −10.5463 | + | 0.922679i | −0.665675 | + | 0.0582390i | −0.414985 | − | 0.909828i | \(-0.636213\pi\) |
−0.250690 | + | 0.968067i | \(0.580658\pi\) | |||||||
\(252\) | −27.9867 | + | 36.4521i | −1.76300 | + | 2.29626i | ||||
\(253\) | −2.79530 | − | 3.99211i | −0.175739 | − | 0.250982i | ||||
\(254\) | −14.7080 | + | 5.71729i | −0.922863 | + | 0.358734i | ||||
\(255\) | 9.40442 | + | 16.2889i | 0.588928 | + | 1.02005i | ||||
\(256\) | −5.48901 | + | 15.0290i | −0.343063 | + | 0.939312i | ||||
\(257\) | −6.26770 | − | 17.2204i | −0.390968 | − | 1.07418i | −0.966560 | − | 0.256440i | \(-0.917450\pi\) |
0.575592 | − | 0.817737i | \(-0.304772\pi\) | |||||||
\(258\) | −11.8624 | − | 1.82748i | −0.738519 | − | 0.113774i | ||||
\(259\) | 2.45927 | + | 9.17812i | 0.152812 | + | 0.570300i | ||||
\(260\) | 0.877581 | + | 20.2287i | 0.0544253 | + | 1.25453i | ||||
\(261\) | 0.873765 | − | 9.98718i | 0.0540847 | − | 0.618191i | ||||
\(262\) | −10.1309 | + | 15.1574i | −0.625887 | + | 0.936425i | ||||
\(263\) | 4.28163 | + | 24.2824i | 0.264017 | + | 1.49731i | 0.771820 | + | 0.635841i | \(0.219347\pi\) |
−0.507803 | + | 0.861473i | \(0.669542\pi\) | |||||||
\(264\) | −22.9886 | − | 24.0342i | −1.41485 | − | 1.47921i | ||||
\(265\) | 8.37940 | 0.514742 | ||||||||
\(266\) | 10.2681 | − | 20.9278i | 0.629576 | − | 1.28316i | ||||
\(267\) | −11.9806 | + | 11.9806i | −0.733202 | + | 0.733202i | ||||
\(268\) | −12.4149 | − | 16.1888i | −0.758363 | − | 0.988886i | ||||
\(269\) | −10.9430 | + | 15.6283i | −0.667208 | + | 0.952872i | 0.332743 | + | 0.943018i | \(0.392026\pi\) |
−0.999951 | + | 0.00985489i | \(0.996863\pi\) | |||||||
\(270\) | −47.0258 | + | 9.34723i | −2.86190 | + | 0.568854i | ||||
\(271\) | 16.3723 | + | 19.5117i | 0.994546 | + | 1.18525i | 0.982677 | + | 0.185324i | \(0.0593335\pi\) |
0.0118685 | + | 0.999930i | \(0.496222\pi\) | |||||||
\(272\) | 1.76331 | + | 6.59540i | 0.106916 | + | 0.399905i | ||||
\(273\) | −15.7657 | + | 27.3070i | −0.954182 | + | 1.65269i | ||||
\(274\) | 29.3291 | + | 4.51835i | 1.77184 | + | 0.272964i | ||||
\(275\) | 29.6435 | + | 13.8230i | 1.78757 | + | 0.833559i | ||||
\(276\) | −7.34481 | − | 1.63044i | −0.442106 | − | 0.0981412i | ||||
\(277\) | −6.62623 | + | 24.7294i | −0.398132 | + | 1.48585i | 0.418249 | + | 0.908333i | \(0.362644\pi\) |
−0.816380 | + | 0.577515i | \(0.804023\pi\) | |||||||
\(278\) | 2.77484 | − | 6.30392i | 0.166424 | − | 0.378084i | ||||
\(279\) | 7.56517 | + | 1.33394i | 0.452915 | + | 0.0798611i | ||||
\(280\) | 20.3106 | − | 33.4394i | 1.21379 | − | 1.99838i | ||||
\(281\) | −22.0241 | − | 18.4804i | −1.31385 | − | 1.10245i | −0.987571 | − | 0.157176i | \(-0.949761\pi\) |
−0.326278 | − | 0.945274i | \(-0.605795\pi\) | |||||||
\(282\) | 42.2923 | − | 12.3207i | 2.51847 | − | 0.733688i | ||||
\(283\) | −7.46716 | + | 3.48199i | −0.443876 | + | 0.206983i | −0.631689 | − | 0.775222i | \(-0.717638\pi\) |
0.187813 | + | 0.982205i | \(0.439860\pi\) | |||||||
\(284\) | 26.7871 | − | 5.93075i | 1.58952 | − | 0.351925i | ||||
\(285\) | 44.3397 | − | 18.4780i | 2.62646 | − | 1.09454i | ||||
\(286\) | −11.9127 | − | 9.56369i | −0.704414 | − | 0.565513i | ||||
\(287\) | −23.1440 | − | 8.42372i | −1.36615 | − | 0.497236i | ||||
\(288\) | −34.2983 | − | 2.27193i | −2.02105 | − | 0.133875i | ||||
\(289\) | −10.7912 | − | 9.05493i | −0.634779 | − | 0.532643i | ||||
\(290\) | 0.185003 | + | 8.53287i | 0.0108638 | + | 0.501067i | ||||
\(291\) | 14.8871 | − | 10.4240i | 0.872696 | − | 0.611068i | ||||
\(292\) | 3.88794 | − | 12.3191i | 0.227525 | − | 0.720918i | ||||
\(293\) | −16.7447 | − | 4.48674i | −0.978238 | − | 0.262118i | −0.265936 | − | 0.963991i | \(-0.585681\pi\) |
−0.712303 | + | 0.701873i | \(0.752348\pi\) | |||||||
\(294\) | 27.8974 | − | 13.7526i | 1.62701 | − | 0.802071i | ||||
\(295\) | 18.0284 | + | 49.5327i | 1.04966 | + | 2.88391i | ||||
\(296\) | −4.68818 | + | 5.34136i | −0.272495 | + | 0.310460i | ||||
\(297\) | 18.0873 | − | 31.3280i | 1.04953 | − | 1.81784i | ||||
\(298\) | −18.2537 | − | 1.19895i | −1.05741 | − | 0.0694535i | ||||
\(299\) | −3.44269 | − | 0.301197i | −0.199096 | − | 0.0174186i | ||||
\(300\) | 48.1615 | − | 15.1706i | 2.78061 | − | 0.875874i | ||||
\(301\) | 8.72624 | + | 6.11018i | 0.502972 | + | 0.352185i | ||||
\(302\) | 23.5978 | − | 14.3150i | 1.35790 | − | 0.823738i | ||||
\(303\) | 10.1493 | 0.583063 | ||||||||
\(304\) | 17.2828 | − | 2.30342i | 0.991235 | − | 0.132110i | ||||
\(305\) | 2.20427 | 0.126216 | ||||||||
\(306\) | −12.5399 | + | 7.60702i | −0.716858 | + | 0.434864i | ||||
\(307\) | −3.59961 | − | 2.52047i | −0.205440 | − | 0.143851i | 0.466329 | − | 0.884612i | \(-0.345576\pi\) |
−0.671769 | + | 0.740761i | \(0.734465\pi\) | |||||||
\(308\) | 8.86866 | + | 28.1550i | 0.505339 | + | 1.60428i | ||||
\(309\) | −15.8411 | − | 1.38592i | −0.901170 | − | 0.0788422i | ||||
\(310\) | −6.52576 | − | 0.428630i | −0.370638 | − | 0.0243446i | ||||
\(311\) | 16.0914 | − | 27.8711i | 0.912459 | − | 1.58043i | 0.101879 | − | 0.994797i | \(-0.467514\pi\) |
0.810580 | − | 0.585628i | \(-0.199152\pi\) | |||||||
\(312\) | −23.5342 | + | 1.53267i | −1.33236 | + | 0.0867705i | ||||
\(313\) | −2.49916 | − | 6.86639i | −0.141261 | − | 0.388112i | 0.848807 | − | 0.528704i | \(-0.177322\pi\) |
−0.990068 | + | 0.140592i | \(0.955099\pi\) | |||||||
\(314\) | 1.38164 | − | 0.681112i | 0.0779706 | − | 0.0384374i | ||||
\(315\) | 81.1883 | + | 21.7543i | 4.57444 | + | 1.22572i | ||||
\(316\) | −24.9170 | − | 7.86389i | −1.40169 | − | 0.442378i | ||||
\(317\) | −14.5838 | + | 10.2117i | −0.819107 | + | 0.573545i | −0.906294 | − | 0.422647i | \(-0.861101\pi\) |
0.0871873 | + | 0.996192i | \(0.472212\pi\) | |||||||
\(318\) | 0.211561 | + | 9.75779i | 0.0118638 | + | 0.547190i | ||||
\(319\) | −4.93291 | − | 4.13920i | −0.276190 | − | 0.231751i | ||||
\(320\) | 29.2364 | − | 1.25210i | 1.63436 | − | 0.0699946i | ||||
\(321\) | −14.8708 | − | 5.41252i | −0.830006 | − | 0.302097i | ||||
\(322\) | 5.20721 | + | 4.18042i | 0.290187 | + | 0.232966i | ||||
\(323\) | 5.47422 | − | 5.03792i | 0.304594 | − | 0.280317i | ||||
\(324\) | −4.19093 | − | 18.9289i | −0.232830 | − | 1.05161i | ||||
\(325\) | 21.0207 | − | 9.80210i | 1.16602 | − | 0.543723i | ||||
\(326\) | −0.746213 | + | 0.217389i | −0.0413289 | + | 0.0120401i | ||||
\(327\) | −11.3354 | − | 9.51152i | −0.626849 | − | 0.525988i | ||||
\(328\) | −4.37110 | − | 17.8955i | −0.241354 | − | 0.988113i | ||||
\(329\) | −38.5034 | − | 6.78919i | −2.12276 | − | 0.374300i | ||||
\(330\) | −24.5060 | + | 55.6731i | −1.34901 | + | 3.06470i | ||||
\(331\) | −4.84688 | + | 18.0888i | −0.266409 | + | 0.994251i | 0.694973 | + | 0.719035i | \(0.255416\pi\) |
−0.961382 | + | 0.275216i | \(0.911251\pi\) | |||||||
\(332\) | 4.49016 | − | 20.2272i | 0.246429 | − | 1.11011i | ||||
\(333\) | −13.8377 | − | 6.45262i | −0.758301 | − | 0.353602i | ||||
\(334\) | −12.8042 | − | 1.97257i | −0.700613 | − | 0.107934i | ||||
\(335\) | −18.6563 | + | 32.3137i | −1.01930 | + | 1.76549i | ||||
\(336\) | 39.4529 | + | 22.8073i | 2.15233 | + | 1.24424i | ||||
\(337\) | −10.4151 | − | 12.4122i | −0.567347 | − | 0.676137i | 0.403737 | − | 0.914875i | \(-0.367711\pi\) |
−0.971084 | + | 0.238737i | \(0.923266\pi\) | |||||||
\(338\) | 7.40695 | − | 1.47226i | 0.402885 | − | 0.0800806i | ||||
\(339\) | 9.53514 | − | 13.6176i | 0.517878 | − | 0.739606i | ||||
\(340\) | 9.90818 | − | 7.59844i | 0.537346 | − | 0.412083i | ||||
\(341\) | 3.48902 | − | 3.48902i | 0.188941 | − | 0.188941i | ||||
\(342\) | 15.1549 | + | 34.2549i | 0.819486 | + | 1.85229i | ||||
\(343\) | −1.13493 | −0.0612807 | ||||||||
\(344\) | −0.177132 | + | 7.96581i | −0.00955033 | + | 0.429488i | ||||
\(345\) | 2.38945 | + | 13.5512i | 0.128644 | + | 0.729574i | ||||
\(346\) | 2.74779 | − | 4.11112i | 0.147722 | − | 0.221015i | ||||
\(347\) | −0.711110 | + | 8.12803i | −0.0381744 | + | 0.436335i | 0.952925 | + | 0.303208i | \(0.0980576\pi\) |
−0.991099 | + | 0.133128i | \(0.957498\pi\) | |||||||
\(348\) | −9.93183 | + | 0.430872i | −0.532402 | + | 0.0230971i | ||||
\(349\) | 2.93899 | + | 10.9685i | 0.157321 | + | 0.587129i | 0.998895 | + | 0.0469881i | \(0.0149623\pi\) |
−0.841575 | + | 0.540141i | \(0.818371\pi\) | |||||||
\(350\) | −44.2942 | − | 6.82382i | −2.36762 | − | 0.364749i | ||||
\(351\) | −8.77346 | − | 24.1049i | −0.468293 | − | 1.28662i | ||||
\(352\) | −13.8315 | + | 17.2093i | −0.737223 | + | 0.917257i | ||||
\(353\) | −1.17996 | − | 2.04374i | −0.0628027 | − | 0.108777i | 0.832914 | − | 0.553402i | \(-0.186671\pi\) |
−0.895717 | + | 0.444624i | \(0.853337\pi\) | |||||||
\(354\) | −57.2256 | + | 22.2447i | −3.04150 | + | 1.18229i | ||||
\(355\) | −28.7813 | − | 41.1039i | −1.52755 | − | 2.18157i | ||||
\(356\) | 8.92156 | + | 6.84969i | 0.472842 | + | 0.363033i | ||||
\(357\) | 19.3707 | − | 1.69471i | 1.02520 | − | 0.0896938i | ||||
\(358\) | −0.530853 | − | 1.82221i | −0.0280564 | − | 0.0963070i | ||||
\(359\) | −16.6424 | − | 6.05735i | −0.878354 | − | 0.319695i | −0.136809 | − | 0.990597i | \(-0.543685\pi\) |
−0.741545 | + | 0.670903i | \(0.765907\pi\) | |||||||
\(360\) | 20.1832 | + | 59.5393i | 1.06375 | + | 3.13800i | ||||
\(361\) | −10.9649 | − | 15.5168i | −0.577098 | − | 0.816675i | ||||
\(362\) | −10.1994 | + | 1.11558i | −0.536066 | + | 0.0586335i | ||||
\(363\) | −5.39012 | − | 11.5592i | −0.282908 | − | 0.606698i | ||||
\(364\) | 19.3366 | + | 8.01578i | 1.01351 | + | 0.420141i | ||||
\(365\) | −23.5365 | + | 2.05918i | −1.23196 | + | 0.107782i | ||||
\(366\) | 0.0556529 | + | 2.56687i | 0.00290902 | + | 0.134172i | ||||
\(367\) | 5.70788 | + | 1.00645i | 0.297949 | + | 0.0525365i | 0.320624 | − | 0.947206i | \(-0.396107\pi\) |
−0.0226753 | + | 0.999743i | \(0.507218\pi\) | |||||||
\(368\) | −0.438068 | + | 4.97533i | −0.0228358 | + | 0.259357i | ||||
\(369\) | 34.2737 | − | 19.7879i | 1.78422 | − | 1.03012i | ||||
\(370\) | 12.3079 | + | 4.17987i | 0.639857 | + | 0.217301i | ||||
\(371\) | 3.66100 | − | 7.85103i | 0.190069 | − | 0.407605i | ||||
\(372\) | 0.334378 | − | 7.61006i | 0.0173367 | − | 0.394563i | ||||
\(373\) | 4.06757 | + | 15.1804i | 0.210611 | + | 0.786010i | 0.987666 | + | 0.156577i | \(0.0500460\pi\) |
−0.777055 | + | 0.629433i | \(0.783287\pi\) | |||||||
\(374\) | −0.617453 | + | 9.40052i | −0.0319277 | + | 0.486090i | ||||
\(375\) | −23.9443 | − | 28.5357i | −1.23648 | − | 1.47357i | ||||
\(376\) | −11.7664 | − | 26.7714i | −0.606806 | − | 1.38063i | ||||
\(377\) | −4.49694 | + | 0.792932i | −0.231604 | + | 0.0408381i | ||||
\(378\) | −11.7879 | + | 48.1444i | −0.606307 | + | 2.47628i | ||||
\(379\) | 0.952723 | + | 0.952723i | 0.0489381 | + | 0.0489381i | 0.731152 | − | 0.682214i | \(-0.238983\pi\) |
−0.682214 | + | 0.731152i | \(0.738983\pi\) | |||||||
\(380\) | −15.9962 | − | 27.5866i | −0.820586 | − | 1.41516i | ||||
\(381\) | −23.7705 | + | 23.7705i | −1.21780 | + | 1.21780i | ||||
\(382\) | 12.9591 | − | 7.86134i | 0.663047 | − | 0.402221i | ||||
\(383\) | 4.68297 | + | 26.5584i | 0.239288 | + | 1.35707i | 0.833392 | + | 0.552683i | \(0.186396\pi\) |
−0.594103 | + | 0.804389i | \(0.702493\pi\) | |||||||
\(384\) | 2.19622 | + | 34.0141i | 0.112076 | + | 1.73577i | ||||
\(385\) | 41.3575 | − | 34.7031i | 2.10777 | − | 1.76863i | ||||
\(386\) | −8.64979 | − | 9.86595i | −0.440263 | − | 0.502164i | ||||
\(387\) | −16.5342 | + | 4.43034i | −0.840483 | + | 0.225207i | ||||
\(388\) | −8.14834 | − | 8.89731i | −0.413670 | − | 0.451693i | ||||
\(389\) | −33.0611 | − | 15.4166i | −1.67626 | − | 0.781655i | −0.998943 | − | 0.0459668i | \(-0.985363\pi\) |
−0.677321 | − | 0.735688i | \(-0.736859\pi\) | |||||||
\(390\) | 19.0723 | + | 38.6883i | 0.965763 | + | 1.95906i | ||||
\(391\) | 1.06557 | + | 1.84562i | 0.0538881 | + | 0.0933370i | ||||
\(392\) | −11.4642 | − | 17.1728i | −0.579029 | − | 0.867360i | ||||
\(393\) | −6.74420 | + | 38.2482i | −0.340200 | + | 1.92937i | ||||
\(394\) | −17.8450 | − | 17.0876i | −0.899017 | − | 0.860861i | ||||
\(395\) | 4.16496 | + | 47.6057i | 0.209562 | + | 2.39530i | ||||
\(396\) | −43.8170 | − | 18.1638i | −2.20189 | − | 0.912767i | ||||
\(397\) | 18.2750 | − | 8.52175i | 0.917194 | − | 0.427694i | 0.0940758 | − | 0.995565i | \(-0.470010\pi\) |
0.823118 | + | 0.567871i | \(0.192233\pi\) | |||||||
\(398\) | 6.59921 | + | 5.29794i | 0.330789 | + | 0.265562i | ||||
\(399\) | 2.05931 | − | 49.6170i | 0.103095 | − | 2.48396i | ||||
\(400\) | −14.1497 | − | 30.3881i | −0.707484 | − | 1.51940i | ||||
\(401\) | −11.9301 | + | 32.7777i | −0.595761 | + | 1.63684i | 0.163867 | + | 0.986482i | \(0.447603\pi\) |
−0.759628 | + | 0.650358i | \(0.774619\pi\) | |||||||
\(402\) | −38.1003 | − | 20.9094i | −1.90027 | − | 1.04287i | ||||
\(403\) | −0.304951 | − | 3.48561i | −0.0151907 | − | 0.173631i | ||||
\(404\) | −0.877588 | − | 6.68027i | −0.0436616 | − | 0.332356i | ||||
\(405\) | −29.0459 | + | 20.3381i | −1.44330 | + | 1.01061i | ||||
\(406\) | 8.07565 | + | 3.55471i | 0.400788 | + | 0.176417i | ||||
\(407\) | −8.49316 | + | 4.90353i | −0.420990 | + | 0.243059i | ||||
\(408\) | 9.09853 | + | 11.3462i | 0.450444 | + | 0.561721i | ||||
\(409\) | 11.3972 | − | 4.14825i | 0.563556 | − | 0.205118i | −0.0445033 | − | 0.999009i | \(-0.514171\pi\) |
0.608059 | + | 0.793892i | \(0.291948\pi\) | |||||||
\(410\) | −27.1736 | + | 19.9187i | −1.34201 | + | 0.983716i | ||||
\(411\) | 61.0631 | − | 16.3618i | 3.01202 | − | 0.807068i | ||||
\(412\) | 0.457535 | + | 10.5464i | 0.0225411 | + | 0.519586i | ||||
\(413\) | 54.2861 | + | 4.74942i | 2.67125 | + | 0.233704i | ||||
\(414\) | −10.5242 | + | 2.09187i | −0.517235 | + | 0.102810i | ||||
\(415\) | −37.3194 | + | 6.58042i | −1.83194 | + | 0.323020i | ||||
\(416\) | 3.04375 | + | 15.3576i | 0.149232 | + | 0.752970i | ||||
\(417\) | − | 14.6727i | − | 0.718527i | ||||||
\(418\) | 23.6068 | + | 4.64628i | 1.15465 | + | 0.227257i | ||||
\(419\) | 15.9897 | + | 15.9897i | 0.781150 | + | 0.781150i | 0.980025 | − | 0.198875i | \(-0.0637287\pi\) |
−0.198875 | + | 0.980025i | \(0.563729\pi\) | |||||||
\(420\) | 10.9019 | − | 82.6307i | 0.531957 | − | 4.03197i | ||||
\(421\) | 6.50371 | + | 4.55395i | 0.316971 | + | 0.221946i | 0.721225 | − | 0.692701i | \(-0.243580\pi\) |
−0.404253 | + | 0.914647i | \(0.632468\pi\) | |||||||
\(422\) | −8.36166 | − | 5.58876i | −0.407039 | − | 0.272057i | ||||
\(423\) | 48.1260 | − | 40.3825i | 2.33997 | − | 1.96347i | ||||
\(424\) | 6.40427 | − | 0.982983i | 0.311019 | − | 0.0477379i | ||||
\(425\) | −12.3868 | − | 7.15152i | −0.600848 | − | 0.346900i | ||||
\(426\) | 47.1387 | − | 34.5535i | 2.28388 | − | 1.67412i | ||||
\(427\) | 0.963055 | − | 2.06528i | 0.0466055 | − | 0.0999458i | ||||
\(428\) | −2.27667 | + | 10.2559i | −0.110047 | + | 0.495739i | ||||
\(429\) | −31.4352 | − | 8.42302i | −1.51770 | − | 0.406667i | ||||
\(430\) | 13.5826 | − | 5.27980i | 0.655010 | − | 0.254615i | ||||
\(431\) | 2.13096 | − | 12.0853i | 0.102645 | − | 0.582127i | −0.889490 | − | 0.456954i | \(-0.848940\pi\) |
0.992135 | − | 0.125173i | \(-0.0399486\pi\) | |||||||
\(432\) | −34.8447 | + | 12.6605i | −1.67647 | + | 0.609131i | ||||
\(433\) | −9.25434 | + | 11.0289i | −0.444735 | + | 0.530015i | −0.941113 | − | 0.338092i | \(-0.890219\pi\) |
0.496378 | + | 0.868106i | \(0.334663\pi\) | |||||||
\(434\) | −3.25274 | + | 5.92701i | −0.156136 | + | 0.284505i | ||||
\(435\) | 7.68400 | + | 16.4784i | 0.368420 | + | 0.790079i | ||||
\(436\) | −5.28033 | + | 8.28338i | −0.252882 | + | 0.396702i | ||||
\(437\) | 5.02392 | − | 2.09366i | 0.240326 | − | 0.100153i | ||||
\(438\) | −2.99215 | − | 27.3562i | −0.142971 | − | 1.30713i | ||||
\(439\) | −5.83395 | + | 16.0286i | −0.278439 | + | 0.765006i | 0.719101 | + | 0.694906i | \(0.244554\pi\) |
−0.997540 | + | 0.0700997i | \(0.977668\pi\) | |||||||
\(440\) | 38.7629 | + | 11.3159i | 1.84795 | + | 0.539463i | ||||
\(441\) | 28.5132 | − | 33.9807i | 1.35777 | − | 1.61813i | ||||
\(442\) | 4.82505 | + | 4.62026i | 0.229504 | + | 0.219764i | ||||
\(443\) | −20.2348 | − | 28.8983i | −0.961385 | − | 1.37300i | −0.927602 | − | 0.373571i | \(-0.878133\pi\) |
−0.0337835 | − | 0.999429i | \(-0.510756\pi\) | |||||||
\(444\) | −4.55671 | + | 14.4381i | −0.216252 | + | 0.685200i | ||||
\(445\) | 5.32433 | − | 19.8707i | 0.252397 | − | 0.941960i | ||||
\(446\) | 14.4266 | + | 4.89940i | 0.683118 | + | 0.231993i | ||||
\(447\) | −36.6196 | + | 13.3284i | −1.73205 | + | 0.630413i | ||||
\(448\) | 11.6004 | − | 27.9399i | 0.548065 | − | 1.32004i | ||||
\(449\) | −5.09220 | − | 2.93998i | −0.240316 | − | 0.138746i | 0.375006 | − | 0.927022i | \(-0.377641\pi\) |
−0.615322 | + | 0.788276i | \(0.710974\pi\) | |||||||
\(450\) | 54.1498 | − | 47.4748i | 2.55264 | − | 2.23798i | ||||
\(451\) | 2.21553 | − | 25.3236i | 0.104325 | − | 1.19244i | ||||
\(452\) | −9.78756 | − | 5.09854i | −0.460368 | − | 0.239815i | ||||
\(453\) | 33.7247 | − | 48.1639i | 1.58452 | − | 2.26294i | ||||
\(454\) | −28.1632 | − | 6.89564i | −1.32177 | − | 0.323628i | ||||
\(455\) | − | 38.2840i | − | 1.79478i | ||||||
\(456\) | 31.7206 | − | 19.3240i | 1.48546 | − | 0.904930i | ||||
\(457\) | − | 28.7558i | − | 1.34514i | −0.740033 | − | 0.672570i | \(-0.765190\pi\) | ||
0.740033 | − | 0.672570i | \(-0.234810\pi\) | |||||||
\(458\) | 1.52820 | − | 6.24150i | 0.0714082 | − | 0.291646i | ||||
\(459\) | −9.07336 | + | 12.9581i | −0.423508 | + | 0.604832i | ||||
\(460\) | 8.71280 | − | 2.74448i | 0.406236 | − | 0.127962i | ||||
\(461\) | 0.946664 | − | 10.8204i | 0.0440905 | − | 0.503957i | −0.941755 | − | 0.336300i | \(-0.890824\pi\) |
0.985845 | − | 0.167657i | \(-0.0536201\pi\) | |||||||
\(462\) | 41.4558 | + | 47.2846i | 1.92870 | + | 2.19988i | ||||
\(463\) | −8.78285 | − | 5.07078i | −0.408174 | − | 0.235659i | 0.281831 | − | 0.959464i | \(-0.409058\pi\) |
−0.690005 | + | 0.723805i | \(0.742392\pi\) | |||||||
\(464\) | 1.14238 | + | 6.49986i | 0.0530337 | + | 0.301749i | ||||
\(465\) | −13.0916 | + | 4.76497i | −0.607110 | + | 0.220970i | ||||
\(466\) | 6.86345 | − | 20.2099i | 0.317943 | − | 0.936204i | ||||
\(467\) | 0.279781 | − | 1.04416i | 0.0129467 | − | 0.0483178i | −0.959150 | − | 0.282897i | \(-0.908705\pi\) |
0.972097 | + | 0.234579i | \(0.0753712\pi\) | |||||||
\(468\) | −29.8391 | + | 15.5227i | −1.37931 | + | 0.717538i | ||||
\(469\) | 22.1251 | + | 31.5979i | 1.02164 | + | 1.45906i | ||||
\(470\) | −36.9903 | + | 38.6298i | −1.70623 | + | 1.78186i | ||||
\(471\) | 2.10933 | − | 2.51380i | 0.0971929 | − | 0.115830i | ||||
\(472\) | 19.5896 | + | 35.7424i | 0.901683 | + | 1.64518i | ||||
\(473\) | −3.76048 | + | 10.3318i | −0.172907 | + | 0.475058i | ||||
\(474\) | −55.3316 | + | 6.05203i | −2.54147 | + | 0.277979i | ||||
\(475\) | −22.1747 | + | 29.0278i | −1.01745 | + | 1.33189i | ||||
\(476\) | −2.79039 | − | 12.6032i | −0.127898 | − | 0.577667i | ||||
\(477\) | 5.88271 | + | 12.6155i | 0.269351 | + | 0.577625i | ||||
\(478\) | −9.48601 | − | 5.20591i | −0.433880 | − | 0.238113i | ||||
\(479\) | 17.2113 | − | 20.5116i | 0.786405 | − | 0.937201i | −0.212799 | − | 0.977096i | \(-0.568258\pi\) |
0.999204 | + | 0.0398949i | \(0.0127023\pi\) | |||||||
\(480\) | 55.9298 | − | 27.5333i | 2.55283 | − | 1.25672i | ||||
\(481\) | −1.20761 | + | 6.84868i | −0.0550621 | + | 0.312273i | ||||
\(482\) | −15.3739 | − | 39.5501i | −0.700260 | − | 1.80146i | ||||
\(483\) | 13.7407 | + | 3.68182i | 0.625225 | + | 0.167528i | ||||
\(484\) | −7.14215 | + | 4.54726i | −0.324643 | + | 0.206694i | ||||
\(485\) | −9.32540 | + | 19.9984i | −0.423445 | + | 0.908080i | ||||
\(486\) | −1.16974 | − | 1.59578i | −0.0530603 | − | 0.0723862i | ||||
\(487\) | −20.7176 | − | 11.9613i | −0.938802 | − | 0.542018i | −0.0492175 | − | 0.998788i | \(-0.515673\pi\) |
−0.889585 | + | 0.456770i | \(0.849006\pi\) | |||||||
\(488\) | 1.68470 | − | 0.258582i | 0.0762626 | − | 0.0117054i | ||||
\(489\) | −1.26838 | + | 1.06429i | −0.0573580 | + | 0.0481290i | ||||
\(490\) | −20.9849 | + | 31.3966i | −0.947999 | + | 1.41835i | ||||
\(491\) | 21.8673 | + | 15.3117i | 0.986858 | + | 0.691005i | 0.951269 | − | 0.308361i | \(-0.0997806\pi\) |
0.0355883 | + | 0.999367i | \(0.488669\pi\) | |||||||
\(492\) | −23.8814 | − | 31.1407i | −1.07666 | − | 1.40393i | ||||
\(493\) | 1.99117 | + | 1.99117i | 0.0896778 | + | 0.0896778i | ||||
\(494\) | 13.2842 | − | 10.7057i | 0.597683 | − | 0.481673i | ||||
\(495\) | 86.7518i | 3.89920i | ||||||||
\(496\) | −5.03784 | + | 0.437937i | −0.226206 | + | 0.0196639i | ||||
\(497\) | −51.0867 | + | 9.00797i | −2.29155 | + | 0.404063i | ||||
\(498\) | −8.60512 | − | 43.2922i | −0.385604 | − | 1.93997i | ||||
\(499\) | −17.5704 | − | 1.53721i | −0.786561 | − | 0.0688152i | −0.313204 | − | 0.949686i | \(-0.601402\pi\) |
−0.473357 | + | 0.880871i | \(0.656958\pi\) | |||||||
\(500\) | −16.7117 | + | 18.2275i | −0.747371 | + | 0.815158i | ||||
\(501\) | −26.6582 | + | 7.14305i | −1.19100 | + | 0.319128i | ||||
\(502\) | 8.85121 | + | 12.0750i | 0.395049 | + | 0.538935i | ||||
\(503\) | 29.8182 | − | 10.8529i | 1.32953 | − | 0.483909i | 0.423029 | − | 0.906116i | \(-0.360967\pi\) |
0.906499 | + | 0.422207i | \(0.138744\pi\) | |||||||
\(504\) | 64.6032 | + | 7.10242i | 2.87766 | + | 0.316367i | ||||
\(505\) | −10.6719 | + | 6.16142i | −0.474893 | + | 0.274180i | ||||
\(506\) | −2.77665 | + | 6.30805i | −0.123437 | + | 0.280427i | ||||
\(507\) | 13.1783 | − | 9.22756i | 0.585270 | − | 0.409810i | ||||
\(508\) | 17.7011 | + | 13.5903i | 0.785359 | + | 0.602974i | ||||
\(509\) | −2.23798 | − | 25.5803i | −0.0991969 | − | 1.13383i | −0.868753 | − | 0.495246i | \(-0.835078\pi\) |
0.769556 | − | 0.638580i | \(-0.220478\pi\) | |||||||
\(510\) | 12.7974 | − | 23.3189i | 0.566678 | − | 1.03258i | ||||
\(511\) | −8.35387 | + | 22.9521i | −0.369553 | + | 1.01534i | ||||
\(512\) | 22.1981 | − | 4.38667i | 0.981028 | − | 0.193865i | ||||
\(513\) | 29.8446 | + | 27.2296i | 1.31767 | + | 1.20222i | ||||
\(514\) | −16.2244 | + | 20.2094i | −0.715626 | + | 0.891398i | ||||
\(515\) | 17.4981 | − | 8.15951i | 0.771060 | − | 0.359551i | ||||
\(516\) | 6.49125 | + | 15.6836i | 0.285761 | + | 0.690431i | ||||
\(517\) | −3.51700 | − | 40.1995i | −0.154678 | − | 1.76797i | ||||
\(518\) | 9.29369 | − | 9.70562i | 0.408341 | − | 0.426440i | ||||
\(519\) | 1.82922 | − | 10.3740i | 0.0802940 | − | 0.455370i | ||||
\(520\) | 23.8155 | − | 15.8987i | 1.04438 | − | 0.697202i | ||||
\(521\) | 9.32635 | + | 16.1537i | 0.408595 | + | 0.707707i | 0.994733 | − | 0.102505i | \(-0.0326856\pi\) |
−0.586138 | + | 0.810211i | \(0.699352\pi\) | |||||||
\(522\) | −12.7167 | + | 6.26898i | −0.556594 | + | 0.274386i | ||||
\(523\) | −6.41322 | − | 2.99053i | −0.280430 | − | 0.130767i | 0.277315 | − | 0.960779i | \(-0.410556\pi\) |
−0.557745 | + | 0.830012i | \(0.688333\pi\) | |||||||
\(524\) | 25.7581 | + | 1.13178i | 1.12525 | + | 0.0494422i | ||||
\(525\) | −92.2203 | + | 24.7104i | −4.02482 | + | 1.07845i | ||||
\(526\) | 26.2200 | − | 22.9879i | 1.14325 | − | 1.00232i | ||||
\(527\) | −1.65290 | + | 1.38695i | −0.0720014 | + | 0.0604163i | ||||
\(528\) | −12.1986 | + | 45.4251i | −0.530877 | + | 1.97687i | ||||
\(529\) | −3.72317 | − | 21.1152i | −0.161877 | − | 0.918050i | ||||
\(530\) | −6.14619 | − | 10.1318i | −0.266973 | − | 0.440096i | ||||
\(531\) | −61.9167 | + | 61.9167i | −2.68696 | + | 2.68696i | ||||
\(532\) | −32.8359 | + | 2.93483i | −1.42362 | + | 0.127241i | ||||
\(533\) | −12.7463 | − | 12.7463i | −0.552102 | − | 0.552102i | ||||
\(534\) | 23.2738 | + | 5.69848i | 1.00715 | + | 0.246597i | ||||
\(535\) | 18.9223 | − | 3.33651i | 0.818082 | − | 0.144250i | ||||
\(536\) | −10.4681 | + | 26.8855i | −0.452153 | + | 1.16128i | ||||
\(537\) | −2.59895 | − | 3.09731i | −0.112153 | − | 0.133659i | ||||
\(538\) | 26.9232 | + | 1.76839i | 1.16074 | + | 0.0762408i | ||||
\(539\) | −7.37438 | − | 27.5216i | −0.317637 | − | 1.18544i | ||||
\(540\) | 45.7949 | + | 50.0042i | 1.97070 | + | 2.15184i | ||||
\(541\) | −13.7056 | + | 29.3918i | −0.589251 | + | 1.26365i | 0.355136 | + | 0.934815i | \(0.384435\pi\) |
−0.944387 | + | 0.328837i | \(0.893343\pi\) | |||||||
\(542\) | 11.5833 | − | 34.1079i | 0.497547 | − | 1.46506i | ||||
\(543\) | −18.9290 | + | 10.9287i | −0.812322 | + | 0.468994i | ||||
\(544\) | 6.68133 | − | 6.96972i | 0.286460 | − | 0.298824i | ||||
\(545\) | 17.6933 | + | 3.11980i | 0.757897 | + | 0.133638i | ||||
\(546\) | 44.5816 | − | 0.966585i | 1.90792 | − | 0.0413660i | ||||
\(547\) | 44.6248 | − | 3.90417i | 1.90802 | − | 0.166930i | 0.928916 | − | 0.370291i | \(-0.120742\pi\) |
0.979104 | + | 0.203361i | \(0.0651864\pi\) | |||||||
\(548\) | −16.0493 | − | 38.7769i | −0.685592 | − | 1.65647i | ||||
\(549\) | 1.54749 | + | 3.31861i | 0.0660455 | + | 0.141635i | ||||
\(550\) | −5.02938 | − | 45.9819i | −0.214453 | − | 1.96067i | ||||
\(551\) | 5.69606 | − | 4.39026i | 0.242660 | − | 0.187031i | ||||
\(552\) | 3.41592 | + | 10.0767i | 0.145391 | + | 0.428895i | ||||
\(553\) | 46.4236 | + | 16.8968i | 1.97413 | + | 0.718526i | ||||
\(554\) | 34.7614 | − | 10.1268i | 1.47687 | − | 0.430246i | ||||
\(555\) | 27.5850 | − | 2.41338i | 1.17092 | − | 0.102442i | ||||
\(556\) | −9.65757 | + | 1.26872i | −0.409572 | + | 0.0538056i | ||||
\(557\) | 9.07247 | + | 12.9568i | 0.384413 | + | 0.548998i | 0.963997 | − | 0.265914i | \(-0.0856738\pi\) |
−0.579584 | + | 0.814913i | \(0.696785\pi\) | |||||||
\(558\) | −3.93605 | − | 10.1257i | −0.166626 | − | 0.428655i | ||||
\(559\) | 3.89832 | + | 6.75210i | 0.164882 | + | 0.285583i | ||||
\(560\) | −55.3301 | − | 0.0307104i | −2.33812 | − | 0.00129775i | ||||
\(561\) | 6.86406 | + | 18.8588i | 0.289801 | + | 0.796221i | ||||
\(562\) | −6.19080 | + | 40.1852i | −0.261143 | + | 1.69511i | ||||
\(563\) | −4.80627 | − | 17.9372i | −0.202560 | − | 0.755964i | −0.990179 | − | 0.139802i | \(-0.955353\pi\) |
0.787619 | − | 0.616162i | \(-0.211313\pi\) | |||||||
\(564\) | −45.9183 | − | 42.0998i | −1.93351 | − | 1.77272i | ||||
\(565\) | −1.75916 | + | 20.1073i | −0.0740085 | + | 0.845921i | ||||
\(566\) | 9.68725 | + | 6.47476i | 0.407186 | + | 0.272154i | ||||
\(567\) | 6.36544 | + | 36.1002i | 0.267323 | + | 1.51606i | ||||
\(568\) | −26.8190 | − | 28.0389i | −1.12530 | − | 1.17649i | ||||
\(569\) | −4.48845 | −0.188166 | −0.0940828 | − | 0.995564i | \(-0.529992\pi\) | ||||
−0.0940828 | + | 0.995564i | \(0.529992\pi\) | |||||||
\(570\) | −54.8650 | − | 40.0590i | −2.29804 | − | 1.67789i | ||||
\(571\) | −19.1022 | + | 19.1022i | −0.799403 | + | 0.799403i | −0.983001 | − | 0.183598i | \(-0.941225\pi\) |
0.183598 | + | 0.983001i | \(0.441225\pi\) | |||||||
\(572\) | −2.82590 | + | 21.4189i | −0.118157 | + | 0.895569i | ||||
\(573\) | 18.5205 | − | 26.4500i | 0.773703 | − | 1.10496i | ||||
\(574\) | 6.79047 | + | 34.1628i | 0.283429 | + | 1.42593i | ||||
\(575\) | −6.72607 | − | 8.01582i | −0.280497 | − | 0.334283i | ||||
\(576\) | 22.4103 | + | 43.1375i | 0.933764 | + | 1.79740i | ||||
\(577\) | 7.36897 | − | 12.7634i | 0.306774 | − | 0.531348i | −0.670881 | − | 0.741565i | \(-0.734084\pi\) |
0.977655 | + | 0.210217i | \(0.0674170\pi\) | |||||||
\(578\) | −3.03333 | + | 19.6897i | −0.126170 | + | 0.818983i | ||||
\(579\) | −25.3326 | − | 11.8128i | −1.05279 | − | 0.490922i | ||||
\(580\) | 10.1816 | − | 6.48245i | 0.422770 | − | 0.269169i | ||||
\(581\) | −10.1395 | + | 37.8412i | −0.420659 | + | 1.56992i | ||||
\(582\) | −23.5235 | − | 10.3545i | −0.975082 | − | 0.429208i | ||||
\(583\) | 8.80504 | + | 1.55257i | 0.364668 | + | 0.0643007i | ||||
\(584\) | −17.7471 | + | 4.33486i | −0.734380 | + | 0.179378i | ||||
\(585\) | 47.1248 | + | 39.5424i | 1.94837 | + | 1.63488i | ||||
\(586\) | 6.85702 | + | 23.5375i | 0.283261 | + | 0.972327i | ||||
\(587\) | 28.4133 | − | 13.2493i | 1.17274 | − | 0.546858i | 0.264124 | − | 0.964489i | \(-0.414917\pi\) |
0.908617 | + | 0.417631i | \(0.137139\pi\) | |||||||
\(588\) | −37.0911 | − | 23.6441i | −1.52961 | − | 0.975067i | ||||
\(589\) | 2.97082 | + | 4.64118i | 0.122411 | + | 0.191236i | ||||
\(590\) | 46.6678 | − | 58.1304i | 1.92128 | − | 2.39319i | ||||
\(591\) | −49.4591 | − | 18.0016i | −2.03447 | − | 0.740488i | ||||
\(592\) | 9.89712 | + | 1.75079i | 0.406769 | + | 0.0719572i | ||||
\(593\) | 18.2898 | + | 15.3470i | 0.751073 | + | 0.630225i | 0.935786 | − | 0.352567i | \(-0.114691\pi\) |
−0.184713 | + | 0.982792i | \(0.559136\pi\) | |||||||
\(594\) | −51.1465 | + | 1.10892i | −2.09856 | + | 0.0454995i | ||||
\(595\) | −19.3392 | + | 13.5415i | −0.792831 | + | 0.555146i | ||||
\(596\) | 11.9392 | + | 22.9505i | 0.489047 | + | 0.940088i | ||||
\(597\) | 17.4139 | + | 4.66605i | 0.712704 | + | 0.190969i | ||||
\(598\) | 2.16099 | + | 4.38359i | 0.0883694 | + | 0.179258i | ||||
\(599\) | 5.71595 | + | 15.7044i | 0.233547 | + | 0.641666i | 1.00000 | 0.000634831i | \(-0.000202073\pi\) | |
−0.766452 | + | 0.642301i | \(0.777980\pi\) | |||||||
\(600\) | −53.6691 | − | 47.1061i | −2.19103 | − | 1.92310i | ||||
\(601\) | 2.45627 | − | 4.25439i | 0.100193 | − | 0.173540i | −0.811571 | − | 0.584254i | \(-0.801387\pi\) |
0.911764 | + | 0.410714i | \(0.134721\pi\) | |||||||
\(602\) | 0.987403 | − | 15.0329i | 0.0402435 | − | 0.612695i | ||||
\(603\) | −61.7471 | − | 5.40217i | −2.51454 | − | 0.219994i | ||||
\(604\) | −34.6175 | − | 18.0329i | −1.40857 | − | 0.733750i | ||||
\(605\) | 12.6850 | + | 8.88210i | 0.515717 | + | 0.361109i | ||||
\(606\) | −7.44441 | − | 12.2718i | −0.302408 | − | 0.498510i | ||||
\(607\) | −33.2916 | −1.35127 | −0.675633 | − | 0.737238i | \(-0.736130\pi\) | ||||
−0.675633 | + | 0.737238i | \(0.736130\pi\) | |||||||
\(608\) | −15.4618 | − | 19.2076i | −0.627061 | − | 0.778970i | ||||
\(609\) | 18.7965 | 0.761674 | ||||||||
\(610\) | −1.61680 | − | 2.66525i | −0.0654625 | − | 0.107913i | ||||
\(611\) | −23.4400 | − | 16.4129i | −0.948281 | − | 0.663994i | ||||
\(612\) | 18.3957 | + | 9.58271i | 0.743604 | + | 0.387358i | ||||
\(613\) | −18.3528 | − | 1.60567i | −0.741265 | − | 0.0648522i | −0.289733 | − | 0.957107i | \(-0.593567\pi\) |
−0.451531 | + | 0.892255i | \(0.649122\pi\) | |||||||
\(614\) | −0.407308 | + | 6.20113i | −0.0164376 | + | 0.250257i | ||||
\(615\) | −35.8873 | + | 62.1587i | −1.44712 | + | 2.50648i | ||||
\(616\) | 27.5380 | − | 31.3748i | 1.10954 | − | 1.26413i | ||||
\(617\) | 1.11130 | + | 3.05327i | 0.0447392 | + | 0.122920i | 0.960050 | − | 0.279828i | \(-0.0902774\pi\) |
−0.915311 | + | 0.402748i | \(0.868055\pi\) | |||||||
\(618\) | 9.94353 | + | 20.1705i | 0.399987 | + | 0.811378i | ||||
\(619\) | −17.8938 | − | 4.79463i | −0.719213 | − | 0.192713i | −0.119392 | − | 0.992847i | \(-0.538095\pi\) |
−0.599820 | + | 0.800135i | \(0.704761\pi\) | |||||||
\(620\) | 4.26830 | + | 8.20489i | 0.171419 | + | 0.329516i | ||||
\(621\) | −9.47997 | + | 6.63794i | −0.380418 | + | 0.266372i | ||||
\(622\) | −45.5026 | + | 0.986554i | −1.82449 | + | 0.0395572i | ||||
\(623\) | −16.2915 | − | 13.6702i | −0.652705 | − | 0.547684i | ||||
\(624\) | 19.1152 | + | 27.3317i | 0.765222 | + | 1.09414i | ||||
\(625\) | 3.12633 | + | 1.13789i | 0.125053 | + | 0.0455157i | ||||
\(626\) | −6.46925 | + | 8.05823i | −0.258563 | + | 0.322072i | ||||
\(627\) | 50.0157 | − | 11.2012i | 1.99743 | − | 0.447334i | ||||
\(628\) | −1.83697 | − | 1.17100i | −0.0733032 | − | 0.0467279i | ||||
\(629\) | 3.88677 | − | 1.81243i | 0.154976 | − | 0.0722663i | ||||
\(630\) | −33.2469 | − | 114.124i | −1.32459 | − | 4.54680i | ||||
\(631\) | −7.24900 | − | 6.08263i | −0.288578 | − | 0.242146i | 0.486993 | − | 0.873406i | \(-0.338094\pi\) |
−0.775571 | + | 0.631260i | \(0.782538\pi\) | |||||||
\(632\) | 8.76783 | + | 35.8959i | 0.348766 | + | 1.42786i | ||||
\(633\) | −21.0999 | − | 3.72048i | −0.838645 | − | 0.147876i | ||||
\(634\) | 23.0443 | + | 10.1435i | 0.915205 | + | 0.402852i | ||||
\(635\) | 10.5639 | − | 39.4250i | 0.419215 | − | 1.56453i | ||||
\(636\) | 11.6433 | − | 7.41303i | 0.461685 | − | 0.293946i | ||||
\(637\) | −18.3114 | − | 8.53874i | −0.725524 | − | 0.338317i | ||||
\(638\) | −1.38660 | + | 9.00059i | −0.0548961 | + | 0.356337i | ||||
\(639\) | 41.6778 | − | 72.1881i | 1.64875 | − | 2.85572i | ||||
\(640\) | −22.9585 | − | 34.4322i | −0.907515 | − | 1.36105i | ||||
\(641\) | 25.2140 | + | 30.0488i | 0.995892 | + | 1.18686i | 0.982369 | + | 0.186950i | \(0.0598601\pi\) |
0.0135228 | + | 0.999909i | \(0.495695\pi\) | |||||||
\(642\) | 4.36310 | + | 21.9507i | 0.172198 | + | 0.866326i | ||||
\(643\) | 11.2411 | − | 16.0540i | 0.443308 | − | 0.633109i | −0.533862 | − | 0.845572i | \(-0.679260\pi\) |
0.977169 | + | 0.212463i | \(0.0681485\pi\) | |||||||
\(644\) | 1.23524 | − | 9.36249i | 0.0486752 | − | 0.368934i | ||||
\(645\) | 21.9516 | − | 21.9516i | 0.864344 | − | 0.864344i | ||||
\(646\) | −10.1068 | − | 2.92378i | −0.397646 | − | 0.115035i | ||||
\(647\) | 12.5205 | 0.492233 | 0.246117 | − | 0.969240i | \(-0.420845\pi\) | ||||
0.246117 | + | 0.969240i | \(0.420845\pi\) | |||||||
\(648\) | −19.8135 | + | 18.9515i | −0.778349 | + | 0.744487i | ||||
\(649\) | 9.76661 | + | 55.3892i | 0.383373 | + | 2.17422i | ||||
\(650\) | −27.2704 | − | 18.2270i | −1.06963 | − | 0.714921i | ||||
\(651\) | −1.25529 | + | 14.3480i | −0.0491985 | + | 0.562342i | ||||
\(652\) | 0.810190 | + | 0.742816i | 0.0317295 | + | 0.0290909i | ||||
\(653\) | 3.32237 | + | 12.3992i | 0.130014 | + | 0.485220i | 0.999969 | − | 0.00791214i | \(-0.00251854\pi\) |
−0.869954 | + | 0.493132i | \(0.835852\pi\) | |||||||
\(654\) | −3.18629 | + | 20.6826i | −0.124594 | + | 0.808752i | ||||
\(655\) | −16.1282 | − | 44.3119i | −0.630181 | − | 1.73141i | ||||
\(656\) | −18.4318 | + | 18.4114i | −0.719642 | + | 0.718843i | ||||
\(657\) | −19.6238 | − | 33.9895i | −0.765599 | − | 1.32606i | ||||
\(658\) | 20.0328 | + | 51.5354i | 0.780959 | + | 2.00906i | ||||
\(659\) | 5.66943 | + | 8.09678i | 0.220850 | + | 0.315406i | 0.914253 | − | 0.405144i | \(-0.132778\pi\) |
−0.693403 | + | 0.720550i | \(0.743890\pi\) | |||||||
\(660\) | 85.2908 | − | 11.2047i | 3.31994 | − | 0.436141i | ||||
\(661\) | 14.9563 | − | 1.30851i | 0.581732 | − | 0.0508950i | 0.207508 | − | 0.978233i | \(-0.433465\pi\) |
0.374224 | + | 0.927338i | \(0.377909\pi\) | |||||||
\(662\) | 25.4269 | − | 7.40743i | 0.988243 | − | 0.287898i | ||||
\(663\) | 13.3731 | + | 4.86741i | 0.519368 | + | 0.189034i | ||||
\(664\) | −27.7508 | + | 9.40725i | −1.07694 | + | 0.365072i | ||||
\(665\) | 27.9560 | + | 53.4219i | 1.08409 | + | 2.07161i | ||||
\(666\) | 2.34773 | + | 21.4645i | 0.0909727 | + | 0.831732i | ||||
\(667\) | 0.870637 | + | 1.86709i | 0.0337112 | + | 0.0722939i | ||||
\(668\) | 7.00662 | + | 16.9288i | 0.271094 | + | 0.654994i | ||||
\(669\) | 32.3335 | − | 2.82881i | 1.25008 | − | 0.109368i | ||||
\(670\) | 52.7557 | − | 1.14381i | 2.03813 | − | 0.0441892i | ||||
\(671\) | 2.31624 | + | 0.408415i | 0.0894174 | + | 0.0157667i | ||||
\(672\) | −1.36120 | − | 64.4326i | −0.0525094 | − | 2.48554i | ||||
\(673\) | −28.4263 | + | 16.4119i | −1.09575 | + | 0.632633i | −0.935102 | − | 0.354379i | \(-0.884692\pi\) |
−0.160650 | + | 0.987011i | \(0.551359\pi\) | |||||||
\(674\) | −7.36865 | + | 21.6974i | −0.283830 | + | 0.835754i | ||||
\(675\) | 32.8252 | − | 70.3939i | 1.26344 | − | 2.70946i | ||||
\(676\) | −7.21307 | − | 7.87607i | −0.277426 | − | 0.302926i | ||||
\(677\) | −3.54593 | − | 13.2336i | −0.136281 | − | 0.508608i | −0.999989 | − | 0.00461562i | \(-0.998531\pi\) |
0.863708 | − | 0.503992i | \(-0.168136\pi\) | |||||||
\(678\) | −23.4594 | − | 1.54088i | −0.900951 | − | 0.0591770i | ||||
\(679\) | 14.6631 | + | 17.4748i | 0.562717 | + | 0.670620i | ||||
\(680\) | −16.4550 | − | 6.40690i | −0.631022 | − | 0.245693i | ||||
\(681\) | −60.8301 | + | 10.7260i | −2.33102 | + | 0.411021i | ||||
\(682\) | −6.77783 | − | 1.65952i | −0.259536 | − | 0.0635463i | ||||
\(683\) | 2.44908 | + | 2.44908i | 0.0937115 | + | 0.0937115i | 0.752408 | − | 0.658697i | \(-0.228892\pi\) |
−0.658697 | + | 0.752408i | \(0.728892\pi\) | |||||||
\(684\) | 30.3027 | − | 43.4499i | 1.15865 | − | 1.66135i | ||||
\(685\) | −54.2743 | + | 54.2743i | −2.07371 | + | 2.07371i | ||||
\(686\) | 0.832461 | + | 1.37228i | 0.0317835 | + | 0.0523940i | ||||
\(687\) | −2.37708 | − | 13.4811i | −0.0906913 | − | 0.514336i | ||||
\(688\) | 9.76163 | − | 5.62866i | 0.372159 | − | 0.214590i | ||||
\(689\) | 4.85680 | − | 4.07534i | 0.185029 | − | 0.155258i | ||||
\(690\) | 14.6326 | − | 12.8288i | 0.557053 | − | 0.488385i | ||||
\(691\) | 41.0418 | − | 10.9971i | 1.56130 | − | 0.418350i | 0.628228 | − | 0.778030i | \(-0.283781\pi\) |
0.933076 | + | 0.359680i | \(0.117114\pi\) | |||||||
\(692\) | −6.98635 | − | 0.306973i | −0.265581 | − | 0.0116694i | ||||
\(693\) | 81.2817 | + | 37.9023i | 3.08764 | + | 1.43979i | ||||
\(694\) | 10.3494 | − | 5.10199i | 0.392859 | − | 0.193669i | ||||
\(695\) | 8.90749 | + | 15.4282i | 0.337880 | + | 0.585226i | ||||
\(696\) | 7.80586 | + | 11.6928i | 0.295881 | + | 0.443216i | ||||
\(697\) | −1.93030 | + | 10.9473i | −0.0731154 | + | 0.414658i | ||||
\(698\) | 11.1066 | − | 11.5989i | 0.420391 | − | 0.439024i | ||||
\(699\) | −3.96282 | − | 45.2952i | −0.149888 | − | 1.71322i | ||||
\(700\) | 24.2384 | + | 58.5626i | 0.916125 | + | 2.21346i | ||||
\(701\) | −26.7409 | + | 12.4695i | −1.00999 | + | 0.470966i | −0.855928 | − | 0.517096i | \(-0.827013\pi\) |
−0.154062 | + | 0.988061i | \(0.549235\pi\) | |||||||
\(702\) | −22.7107 | + | 28.2889i | −0.857160 | + | 1.06770i | ||||
\(703\) | −3.31599 | − | 10.4386i | −0.125065 | − | 0.393697i | ||||
\(704\) | 30.9535 | + | 4.10133i | 1.16660 | + | 0.154575i | ||||
\(705\) | −38.9689 | + | 107.066i | −1.46765 | + | 4.03235i | ||||
\(706\) | −1.60567 | + | 2.92578i | −0.0604301 | + | 0.110113i | ||||
\(707\) | 1.11031 | + | 12.6909i | 0.0417576 | + | 0.477292i | ||||
\(708\) | 68.8710 | + | 52.8769i | 2.58833 | + | 1.98724i | ||||
\(709\) | 0.428085 | − | 0.299748i | 0.0160771 | − | 0.0112573i | −0.565510 | − | 0.824741i | \(-0.691321\pi\) |
0.581587 | + | 0.813484i | \(0.302432\pi\) | |||||||
\(710\) | −28.5892 | + | 64.9495i | −1.07293 | + | 2.43751i | ||||
\(711\) | −68.7483 | + | 39.6919i | −2.57826 | + | 1.48856i | ||||
\(712\) | 1.73830 | − | 15.8115i | 0.0651456 | − | 0.592561i | ||||
\(713\) | −1.48335 | + | 0.539895i | −0.0555519 | + | 0.0202192i | ||||
\(714\) | −16.2573 | − | 22.1786i | −0.608414 | − | 0.830013i | ||||
\(715\) | 38.1672 | − | 10.2269i | 1.42737 | − | 0.382463i | ||||
\(716\) | −1.81392 | + | 1.97844i | −0.0677893 | + | 0.0739379i | ||||
\(717\) | −22.9635 | − | 2.00905i | −0.857589 | − | 0.0750293i | ||||
\(718\) | 4.88291 | + | 24.5659i | 0.182229 | + | 0.916789i | ||||
\(719\) | 30.9699 | − | 5.46083i | 1.15498 | − | 0.203655i | 0.436832 | − | 0.899543i | \(-0.356100\pi\) |
0.718150 | + | 0.695888i | \(0.244989\pi\) | |||||||
\(720\) | 57.1866 | − | 68.0756i | 2.13122 | − | 2.53703i | ||||
\(721\) | − | 19.9597i | − | 0.743339i | ||||||
\(722\) | −10.7193 | + | 24.6394i | −0.398929 | + | 0.916982i | ||||
\(723\) | −63.9193 | − | 63.9193i | −2.37718 | − | 2.37718i | ||||
\(724\) | 8.82999 | + | 11.5141i | 0.328164 | + | 0.427917i | ||||
\(725\) | −11.3258 | − | 7.93044i | −0.420631 | − | 0.294529i | ||||
\(726\) | −10.0229 | + | 14.9959i | −0.371986 | + | 0.556549i | ||||
\(727\) | −3.40563 | + | 2.85767i | −0.126308 | + | 0.105985i | −0.703753 | − | 0.710444i | \(-0.748494\pi\) |
0.577445 | + | 0.816429i | \(0.304050\pi\) | |||||||
\(728\) | −4.49107 | − | 29.2600i | −0.166450 | − | 1.08445i | ||||
\(729\) | 21.5346 | + | 12.4330i | 0.797577 | + | 0.460481i | ||||
\(730\) | 19.7536 | + | 26.9483i | 0.731112 | + | 0.997401i | ||||
\(731\) | 2.03195 | − | 4.35754i | 0.0751545 | − | 0.161169i | ||||
\(732\) | 3.06285 | − | 1.95006i | 0.113206 | − | 0.0720762i | ||||
\(733\) | 32.4452 | + | 8.69367i | 1.19839 | + | 0.321108i | 0.802197 | − | 0.597059i | \(-0.203664\pi\) |
0.396194 | + | 0.918167i | \(0.370331\pi\) | |||||||
\(734\) | −2.96973 | − | 7.63979i | −0.109615 | − | 0.281990i | ||||
\(735\) | −13.9698 | + | 79.2265i | −0.515283 | + | 2.92232i | ||||
\(736\) | 6.33713 | − | 3.11966i | 0.233590 | − | 0.114992i | ||||
\(737\) | −25.5912 | + | 30.4984i | −0.942664 | + | 1.12342i | ||||
\(738\) | −49.0655 | − | 26.9271i | −1.80613 | − | 0.991202i | ||||
\(739\) | 13.6071 | + | 29.1806i | 0.500547 | + | 1.07343i | 0.980570 | + | 0.196171i | \(0.0628506\pi\) |
−0.480023 | + | 0.877256i | \(0.659372\pi\) | |||||||
\(740\) | −3.97369 | − | 17.9477i | −0.146076 | − | 0.659772i | ||||
\(741\) | 16.7130 | − | 32.2748i | 0.613967 | − | 1.18565i | ||||
\(742\) | −12.1782 | + | 1.33202i | −0.447076 | + | 0.0489000i | ||||
\(743\) | 10.0735 | − | 27.6767i | 0.369561 | − | 1.01536i | −0.605968 | − | 0.795489i | \(-0.707214\pi\) |
0.975529 | − | 0.219871i | \(-0.0705637\pi\) | |||||||
\(744\) | −9.44681 | + | 5.17758i | −0.346337 | + | 0.189819i | ||||
\(745\) | 30.4137 | − | 36.2456i | 1.11427 | − | 1.32794i | ||||
\(746\) | 15.3715 | − | 16.0528i | 0.562792 | − | 0.587736i | ||||
\(747\) | −36.1070 | − | 51.5661i | −1.32109 | − | 1.88671i | ||||
\(748\) | 11.8193 | − | 6.14860i | 0.432158 | − | 0.224815i | ||||
\(749\) | 5.14111 | − | 19.1869i | 0.187852 | − | 0.701073i | ||||
\(750\) | −16.9405 | + | 49.8823i | −0.618579 | + | 1.82144i | ||||
\(751\) | 26.7441 | − | 9.73407i | 0.975908 | − | 0.355201i | 0.195660 | − | 0.980672i | \(-0.437315\pi\) |
0.780248 | + | 0.625470i | \(0.215093\pi\) | |||||||
\(752\) | −23.7396 | + | 33.8636i | −0.865694 | + | 1.23488i | ||||
\(753\) | 27.6212 | + | 15.9471i | 1.00657 | + | 0.581145i | ||||
\(754\) | 4.25721 | + | 4.85578i | 0.155039 | + | 0.176837i | ||||
\(755\) | −6.22196 | + | 71.1173i | −0.226440 | + | 2.58822i | ||||
\(756\) | 66.8592 | − | 21.0602i | 2.43165 | − | 0.765953i | ||||
\(757\) | 2.73108 | − | 3.90039i | 0.0992628 | − | 0.141762i | −0.766448 | − | 0.642306i | \(-0.777978\pi\) |
0.865711 | + | 0.500544i | \(0.166867\pi\) | |||||||
\(758\) | 0.453155 | − | 1.85078i | 0.0164593 | − | 0.0672233i | ||||
\(759\) | 14.6823i | 0.532935i | ||||||||
\(760\) | −21.6227 | + | 39.5759i | −0.784339 | + | 1.43557i | ||||
\(761\) | − | 18.4699i | − | 0.669532i | −0.942301 | − | 0.334766i | \(-0.891343\pi\) | ||
0.942301 | − | 0.334766i | \(-0.108657\pi\) | |||||||
\(762\) | 46.1770 | + | 11.3062i | 1.67282 | + | 0.409582i | ||||
\(763\) | 10.6534 | − | 15.2146i | 0.385677 | − | 0.550804i | ||||
\(764\) | −19.0108 | − | 9.90308i | −0.687785 | − | 0.358281i | ||||
\(765\) | 3.30635 | − | 37.7917i | 0.119541 | − | 1.36636i | ||||
\(766\) | 28.6777 | − | 25.1426i | 1.03617 | − | 0.908439i | ||||
\(767\) | 34.5399 | + | 19.9416i | 1.24716 | + | 0.720050i | ||||
\(768\) | 39.5166 | − | 27.6045i | 1.42593 | − | 0.996090i | ||||
\(769\) | −37.2562 | + | 13.5602i | −1.34349 | + | 0.488992i | −0.910911 | − | 0.412602i | \(-0.864620\pi\) |
−0.432583 | + | 0.901594i | \(0.642398\pi\) | |||||||
\(770\) | −72.2958 | − | 24.5523i | −2.60536 | − | 0.884803i | ||||
\(771\) | −14.2893 | + | 53.3283i | −0.514616 | + | 1.92057i | ||||
\(772\) | −5.58470 | + | 17.6953i | −0.200998 | + | 0.636867i | ||||
\(773\) | −3.07344 | − | 4.38933i | −0.110544 | − | 0.157873i | 0.760068 | − | 0.649844i | \(-0.225166\pi\) |
−0.870612 | + | 0.491970i | \(0.836277\pi\) | |||||||
\(774\) | 17.4845 | + | 16.7424i | 0.628468 | + | 0.601795i | ||||
\(775\) | 6.80992 | − | 8.11575i | 0.244620 | − | 0.291526i | ||||
\(776\) | −4.78129 | + | 16.3785i | −0.171638 | + | 0.587953i | ||||
\(777\) | 9.79081 | − | 26.9000i | 0.351244 | − | 0.965034i | ||||
\(778\) | 5.60921 | + | 51.2831i | 0.201100 | + | 1.83859i | ||||
\(779\) | 27.0939 | + | 8.47860i | 0.970741 | + | 0.303778i | ||||
\(780\) | 32.7899 | − | 51.4383i | 1.17407 | − | 1.84179i | ||||
\(781\) | −22.6274 | − | 48.5245i | −0.809671 | − | 1.73634i | ||||
\(782\) | 1.45001 | − | 2.64215i | 0.0518523 | − | 0.0944832i | ||||
\(783\) | −9.82928 | + | 11.7141i | −0.351270 | + | 0.418627i | ||||
\(784\) | −12.3553 | + | 26.4578i | −0.441262 | + | 0.944921i | ||||
\(785\) | −0.691866 | + | 3.92377i | −0.0246938 | + | 0.140045i | ||||
\(786\) | 51.1939 | − | 19.9000i | 1.82602 | − | 0.709811i | ||||
\(787\) | −24.6469 | − | 6.60411i | −0.878566 | − | 0.235411i | −0.208778 | − | 0.977963i | \(-0.566948\pi\) |
−0.669788 | + | 0.742552i | \(0.733615\pi\) | |||||||
\(788\) | −7.57204 | + | 34.1105i | −0.269743 | + | 1.21513i | ||||
\(789\) | 31.3939 | − | 67.3244i | 1.11765 | − | 2.39681i | ||||
\(790\) | 54.5066 | − | 39.9542i | 1.93926 | − | 1.42151i | ||||
\(791\) | 18.0709 | + | 10.4332i | 0.642526 | + | 0.370963i | ||||
\(792\) | 10.1768 | + | 66.3034i | 0.361617 | + | 2.35599i | ||||
\(793\) | 1.27762 | − | 1.07205i | 0.0453697 | − | 0.0380697i | ||||
\(794\) | −23.7084 | − | 15.8462i | −0.841378 | − | 0.562360i | ||||
\(795\) | −20.6792 | − | 14.4798i | −0.733417 | − | 0.513544i | ||||
\(796\) | 1.56544 | − | 11.8653i | 0.0554857 | − | 0.420554i | ||||
\(797\) | 7.24320 | + | 7.24320i | 0.256567 | + | 0.256567i | 0.823656 | − | 0.567089i | \(-0.191931\pi\) |
−0.567089 | + | 0.823656i | \(0.691931\pi\) | |||||||
\(798\) | −61.5039 | + | 33.9035i | −2.17721 | + | 1.20017i | ||||
\(799\) | 17.6462i | 0.624277i | ||||||||
\(800\) | −26.3645 | + | 39.3981i | −0.932127 | + | 1.39293i | ||||
\(801\) | 33.6540 | − | 5.93411i | 1.18911 | − | 0.209671i | ||||
\(802\) | 48.3831 | − | 9.61702i | 1.70847 | − | 0.339589i | ||||
\(803\) | −25.1136 | − | 2.19716i | −0.886240 | − | 0.0775360i | ||||
\(804\) | 2.66393 | + | 61.4050i | 0.0939494 | + | 2.16559i | ||||
\(805\) | −16.6834 | + | 4.47030i | −0.588012 | + | 0.157557i | ||||
\(806\) | −3.99088 | + | 2.92538i | −0.140573 | + | 0.103042i | ||||
\(807\) | 54.0119 | − | 19.6587i | 1.90131 | − | 0.692020i | ||||
\(808\) | −7.43361 | + | 5.96102i | −0.261513 | + | 0.209708i | ||||
\(809\) | −23.1602 | + | 13.3716i | −0.814270 | + | 0.470119i | −0.848436 | − | 0.529297i | \(-0.822456\pi\) |
0.0341668 | + | 0.999416i | \(0.489122\pi\) | |||||||
\(810\) | 45.8962 | + | 20.2024i | 1.61263 | + | 0.709841i | ||||
\(811\) | −10.6805 | + | 7.47854i | −0.375042 | + | 0.262607i | −0.745866 | − | 0.666096i | \(-0.767964\pi\) |
0.370824 | + | 0.928703i | \(0.379075\pi\) | |||||||
\(812\) | −1.62529 | − | 12.3719i | −0.0570366 | − | 0.434167i | ||||
\(813\) | −6.68799 | − | 76.4440i | −0.234558 | − | 2.68101i | ||||
\(814\) | 12.1586 | + | 6.67265i | 0.426160 | + | 0.233876i | ||||
\(815\) | 0.687575 | − | 1.88910i | 0.0240847 | − | 0.0661722i | ||||
\(816\) | 7.04537 | − | 19.3236i | 0.246637 | − | 0.676462i | ||||
\(817\) | −10.3703 | − | 6.57529i | −0.362812 | − | 0.230040i | ||||
\(818\) | −13.3755 | − | 10.7380i | −0.467663 | − | 0.375446i | ||||
\(819\) | 57.6380 | − | 26.8771i | 2.01404 | − | 0.939160i | ||||
\(820\) | 44.0159 | + | 18.2463i | 1.53710 | + | 0.637188i | ||||
\(821\) | 0.545307 | + | 6.23289i | 0.0190313 | + | 0.217529i | 0.999755 | + | 0.0221299i | \(0.00704474\pi\) |
−0.980724 | + | 0.195399i | \(0.937400\pi\) | |||||||
\(822\) | −64.5726 | − | 61.8320i | −2.25223 | − | 2.15664i | ||||
\(823\) | 5.42934 | − | 30.7913i | 0.189255 | − | 1.07332i | −0.731111 | − | 0.682259i | \(-0.760998\pi\) |
0.920366 | − | 0.391059i | \(-0.127891\pi\) | |||||||
\(824\) | 12.4164 | − | 8.28891i | 0.432547 | − | 0.288758i | ||||
\(825\) | −49.2699 | − | 85.3380i | −1.71536 | − | 2.97109i | ||||
\(826\) | −34.0756 | − | 69.1226i | −1.18564 | − | 2.40508i | ||||
\(827\) | −29.7090 | − | 13.8535i | −1.03308 | − | 0.481734i | −0.169281 | − | 0.985568i | \(-0.554145\pi\) |
−0.863801 | + | 0.503834i | \(0.831922\pi\) | |||||||
\(828\) | 10.2487 | + | 11.1907i | 0.356167 | + | 0.388904i | ||||
\(829\) | 2.95592 | − | 0.792038i | 0.102664 | − | 0.0275086i | −0.207122 | − | 0.978315i | \(-0.566410\pi\) |
0.309785 | + | 0.950807i | \(0.399743\pi\) | |||||||
\(830\) | 35.3299 | + | 40.2973i | 1.22632 | + | 1.39874i | ||||
\(831\) | 59.0856 | − | 49.5787i | 2.04966 | − | 1.71987i | ||||
\(832\) | 16.3368 | − | 14.9449i | 0.566377 | − | 0.518122i | ||||
\(833\) | 2.16358 | + | 12.2703i | 0.0749637 | + | 0.425140i | ||||
\(834\) | −17.7412 | + | 10.7623i | −0.614329 | + | 0.372667i | ||||
\(835\) | 23.6945 | − | 23.6945i | 0.819980 | − | 0.819980i | ||||
\(836\) | −11.6974 | − | 31.9517i | −0.404562 | − | 1.10507i | ||||
\(837\) | −8.28529 | − | 8.28529i | −0.286382 | − | 0.286382i | ||||
\(838\) | 7.60538 | − | 31.0620i | 0.262724 | − | 1.07302i | ||||
\(839\) | −18.8082 | + | 3.31639i | −0.649331 | + | 0.114495i | −0.488606 | − | 0.872504i | \(-0.662494\pi\) |
−0.160725 | + | 0.986999i | \(0.551383\pi\) | |||||||
\(840\) | −107.908 | + | 47.4269i | −3.72317 | + | 1.63638i | ||||
\(841\) | −16.8911 | − | 20.1301i | −0.582452 | − | 0.694140i | ||||
\(842\) | 0.735917 | − | 11.2041i | 0.0253614 | − | 0.386119i | ||||
\(843\) | 22.4181 | + | 83.6654i | 0.772119 | + | 2.88159i | ||||
\(844\) | −0.624356 | + | 14.2096i | −0.0214912 | + | 0.489115i | ||||
\(845\) | −8.25502 | + | 17.7029i | −0.283981 | + | 0.609000i | ||||
\(846\) | −84.1276 | − | 28.5705i | −2.89237 | − | 0.982273i | ||||
\(847\) | 13.8642 | − | 8.00447i | 0.476378 | − | 0.275037i | ||||
\(848\) | −5.88601 | − | 7.02259i | −0.202126 | − | 0.241157i | ||||
\(849\) | 24.4449 | + | 4.31030i | 0.838947 | + | 0.147929i | ||||
\(850\) | 0.438456 | + | 20.2228i | 0.0150389 | + | 0.693636i | ||||
\(851\) | 3.12552 | − | 0.273448i | 0.107142 | − | 0.00937367i | ||||
\(852\) | −76.3554 | − | 31.6523i | −2.61589 | − | 1.08439i | ||||
\(853\) | −4.05527 | − | 8.69656i | −0.138850 | − | 0.297765i | 0.824571 | − | 0.565759i | \(-0.191417\pi\) |
−0.963420 | + | 0.267995i | \(0.913639\pi\) | |||||||
\(854\) | −3.20358 | + | 0.350399i | −0.109624 | + | 0.0119904i | ||||
\(855\) | −94.6334 | − | 20.7661i | −3.23639 | − | 0.710185i | ||||
\(856\) | 14.0707 | − | 4.76982i | 0.480926 | − | 0.163029i | ||||
\(857\) | 2.17826 | + | 0.792822i | 0.0744079 | + | 0.0270823i | 0.378956 | − | 0.925415i | \(-0.376283\pi\) |
−0.304548 | + | 0.952497i | \(0.598505\pi\) | |||||||
\(858\) | 12.8728 | + | 44.1874i | 0.439470 | + | 1.50853i | ||||
\(859\) | −13.4073 | + | 1.17299i | −0.457451 | + | 0.0400218i | −0.313553 | − | 0.949571i | \(-0.601519\pi\) |
−0.143898 | + | 0.989592i | \(0.545964\pi\) | |||||||
\(860\) | −16.3466 | − | 12.5504i | −0.557415 | − | 0.427966i | ||||
\(861\) | 42.5599 | + | 60.7819i | 1.45044 | + | 2.07144i | ||||
\(862\) | −16.1757 | + | 6.28780i | −0.550947 | + | 0.214163i | ||||
\(863\) | −22.4758 | − | 38.9292i | −0.765084 | − | 1.32517i | −0.940202 | − | 0.340618i | \(-0.889364\pi\) |
0.175118 | − | 0.984548i | \(-0.443969\pi\) | |||||||
\(864\) | 40.8665 | + | 32.8454i | 1.39031 | + | 1.11742i | ||||
\(865\) | 4.37444 | + | 12.0187i | 0.148735 | + | 0.408647i | ||||
\(866\) | 20.1233 | + | 3.10013i | 0.683818 | + | 0.105347i | ||||
\(867\) | 10.9843 | + | 40.9938i | 0.373045 | + | 1.39222i | ||||
\(868\) | 9.55236 | − | 0.414409i | 0.324228 | − | 0.0140660i | ||||
\(869\) | −4.44404 | + | 50.7957i | −0.150754 | + | 1.72312i | ||||
\(870\) | 14.2884 | − | 21.3777i | 0.484422 | − | 0.724771i | ||||
\(871\) | 4.90242 | + | 27.8030i | 0.166112 | + | 0.942068i | ||||
\(872\) | 13.8887 | + | 0.308838i | 0.470332 | + | 0.0104586i | ||||
\(873\) | −36.6552 | −1.24059 | ||||||||
\(874\) | −6.21649 | − | 4.53889i | −0.210276 | − | 0.153530i | ||||
\(875\) | 33.0622 | − | 33.0622i | 1.11771 | − | 1.11771i | ||||
\(876\) | −30.8825 | + | 23.6834i | −1.04342 | + | 0.800187i | ||||
\(877\) | 11.0205 | − | 15.7389i | 0.372135 | − | 0.531463i | −0.588785 | − | 0.808289i | \(-0.700394\pi\) |
0.960920 | + | 0.276826i | \(0.0892826\pi\) | |||||||
\(878\) | 23.6598 | − | 4.70282i | 0.798481 | − | 0.158713i | ||||
\(879\) | 33.5706 | + | 40.0079i | 1.13231 | + | 1.34943i | ||||
\(880\) | −14.7498 | − | 55.1695i | −0.497216 | − | 1.85976i | ||||
\(881\) | 14.8331 | − | 25.6917i | 0.499740 | − | 0.865575i | −0.500260 | − | 0.865875i | \(-0.666762\pi\) |
1.00000 | 0.000300348i | \(9.56038e-5\pi\) | ||||||||
\(882\) | −62.0012 | − | 9.55170i | −2.08769 | − | 0.321622i | ||||
\(883\) | −34.9628 | − | 16.3034i | −1.17659 | − | 0.548654i | −0.266814 | − | 0.963748i | \(-0.585971\pi\) |
−0.909778 | + | 0.415094i | \(0.863749\pi\) | |||||||
\(884\) | 2.04738 | − | 9.22302i | 0.0688608 | − | 0.310204i | ||||
\(885\) | 41.1017 | − | 153.394i | 1.38162 | − | 5.15627i | ||||
\(886\) | −20.0998 | + | 45.6631i | −0.675266 | + | 1.53408i | ||||
\(887\) | −22.4571 | − | 3.95980i | −0.754037 | − | 0.132957i | −0.216599 | − | 0.976261i | \(-0.569497\pi\) |
−0.537438 | + | 0.843303i | \(0.680608\pi\) | |||||||
\(888\) | 20.7998 | − | 5.08050i | 0.697995 | − | 0.170490i | ||||
\(889\) | −32.3236 | − | 27.1227i | −1.08410 | − | 0.909667i | ||||
\(890\) | −27.9315 | + | 8.13710i | −0.936267 | + | 0.272756i | ||||
\(891\) | −34.2896 | + | 15.9895i | −1.14875 | + | 0.535669i | ||||
\(892\) | −4.65772 | − | 21.0373i | −0.155952 | − | 0.704379i | ||||
\(893\) | 44.6936 | + | 5.78616i | 1.49561 | + | 0.193627i | ||||
\(894\) | 42.9758 | + | 34.5016i | 1.43733 | + | 1.15390i | ||||
\(895\) | 4.61307 | + | 1.67902i | 0.154198 | + | 0.0561235i | ||||
\(896\) | −42.2917 | + | 6.46727i | −1.41287 | + | 0.216056i | ||||
\(897\) | 7.97564 | + | 6.69236i | 0.266299 | + | 0.223451i | ||||
\(898\) | 0.180249 | + | 8.31357i | 0.00601498 | + | 0.277428i | ||||
\(899\) | −1.70858 | + | 1.19636i | −0.0569842 | + | 0.0399007i | ||||
\(900\) | −97.1214 | − | 30.6519i | −3.23738 | − | 1.02173i | ||||
\(901\) | −3.77657 | − | 1.01193i | −0.125816 | − | 0.0337123i | ||||
\(902\) | −32.2446 | + | 15.8957i | −1.07363 | + | 0.529269i | ||||
\(903\) | −10.9767 | − | 30.1582i | −0.365281 | − | 1.00360i | ||||
\(904\) | 1.01427 | + | 15.5742i | 0.0337342 | + | 0.517989i | ||||
\(905\) | 13.2691 | − | 22.9828i | 0.441080 | − | 0.763973i | ||||
\(906\) | −82.9731 | − | 5.44990i | −2.75660 | − | 0.181061i | ||||
\(907\) | −18.9931 | − | 1.66168i | −0.630655 | − | 0.0551752i | −0.232653 | − | 0.972560i | \(-0.574741\pi\) |
−0.398002 | + | 0.917385i | \(0.630296\pi\) | |||||||
\(908\) | 12.3197 | + | 39.1109i | 0.408843 | + | 1.29794i | ||||
\(909\) | −16.7684 | − | 11.7414i | −0.556173 | − | 0.389437i | ||||
\(910\) | −46.2903 | + | 28.0808i | −1.53451 | + | 0.930871i | ||||
\(911\) | 8.96228 | 0.296934 | 0.148467 | − | 0.988917i | \(-0.452566\pi\) | ||||
0.148467 | + | 0.988917i | \(0.452566\pi\) | |||||||
\(912\) | −46.6320 | − | 24.1804i | −1.54414 | − | 0.800694i | ||||
\(913\) | −40.4344 | −1.33818 | ||||||||
\(914\) | −34.7695 | + | 21.0921i | −1.15007 | + | 0.697663i | ||||
\(915\) | −5.43984 | − | 3.80902i | −0.179836 | − | 0.125922i | ||||
\(916\) | −8.66770 | + | 2.73027i | −0.286389 | + | 0.0902107i | ||||
\(917\) | −48.5642 | − | 4.24882i | −1.60373 | − | 0.140308i | ||||
\(918\) | 22.3232 | + | 1.46625i | 0.736776 | + | 0.0483935i | ||||
\(919\) | 21.6633 | − | 37.5219i | 0.714605 | − | 1.23773i | −0.248507 | − | 0.968630i | \(-0.579940\pi\) |
0.963112 | − | 0.269102i | \(-0.0867268\pi\) | |||||||
\(920\) | −9.70917 | − | 8.52186i | −0.320102 | − | 0.280957i | ||||
\(921\) | 4.52793 | + | 12.4404i | 0.149200 | + | 0.409925i | ||||
\(922\) | −13.7777 | + | 6.79201i | −0.453743 | + | 0.223683i | ||||
\(923\) | −36.6730 | − | 9.82649i | −1.20711 | − | 0.323443i | ||||
\(924\) | 26.7658 | − | 84.8082i | 0.880530 | − | 2.78998i | ||||
\(925\) | −17.2488 | + | 12.0778i | −0.567138 | + | 0.397114i | ||||
\(926\) | 0.310887 | + | 14.3390i | 0.0102164 | + | 0.471208i | ||||
\(927\) | 24.5689 | + | 20.6158i | 0.806950 | + | 0.677111i | ||||
\(928\) | 7.02125 | − | 6.14886i | 0.230484 | − | 0.201846i | ||||
\(929\) | 5.91330 | + | 2.15227i | 0.194009 | + | 0.0706136i | 0.437197 | − | 0.899366i | \(-0.355971\pi\) |
−0.243188 | + | 0.969979i | \(0.578193\pi\) | |||||||
\(930\) | 15.3640 | + | 12.3344i | 0.503806 | + | 0.404462i | ||||
\(931\) | 31.7872 | − | 1.45643i | 1.04178 | − | 0.0477325i | ||||
\(932\) | −29.4706 | + | 6.52490i | −0.965342 | + | 0.213730i | ||||
\(933\) | −87.8732 | + | 40.9760i | −2.87684 | + | 1.34149i | ||||
\(934\) | −1.46774 | + | 0.427586i | −0.0480258 | + | 0.0139910i | ||||
\(935\) | −18.6663 | − | 15.6629i | −0.610452 | − | 0.512230i | ||||
\(936\) | 40.6556 | + | 24.6936i | 1.32887 | + | 0.807135i | ||||
\(937\) | 11.5555 | + | 2.03755i | 0.377502 | + | 0.0665638i | 0.359180 | − | 0.933268i | \(-0.383056\pi\) |
0.0183221 | + | 0.999832i | \(0.494168\pi\) | |||||||
\(938\) | 21.9775 | − | 49.9289i | 0.717591 | − | 1.63024i | ||||
\(939\) | −5.69766 | + | 21.2640i | −0.185936 | + | 0.693923i | ||||
\(940\) | 73.8404 | + | 16.3915i | 2.40841 | + | 0.534633i | ||||
\(941\) | −25.0140 | − | 11.6642i | −0.815432 | − | 0.380242i | −0.0302772 | − | 0.999542i | \(-0.509639\pi\) |
−0.785155 | + | 0.619299i | \(0.787417\pi\) | |||||||
\(942\) | −4.58669 | − | 0.706610i | −0.149442 | − | 0.0230226i | ||||
\(943\) | −4.06622 | + | 7.04290i | −0.132414 | + | 0.229348i | ||||
\(944\) | 28.8484 | − | 49.9029i | 0.938936 | − | 1.62420i | ||||
\(945\) | −82.4086 | − | 98.2108i | −2.68075 | − | 3.19480i | ||||
\(946\) | 15.2508 | − | 3.03137i | 0.495846 | − | 0.0985584i | ||||
\(947\) | −3.30236 | + | 4.71626i | −0.107312 | + | 0.153258i | −0.869216 | − | 0.494432i | \(-0.835376\pi\) |
0.761904 | + | 0.647690i | \(0.224265\pi\) | |||||||
\(948\) | 47.9028 | + | 62.4640i | 1.55581 | + | 2.02874i | ||||
\(949\) | −12.6406 | + | 12.6406i | −0.410330 | + | 0.410330i | ||||
\(950\) | 51.3633 | + | 5.52053i | 1.66645 | + | 0.179110i | ||||
\(951\) | 53.6368 | 1.73929 | ||||||||
\(952\) | −13.1922 | + | 12.6183i | −0.427561 | + | 0.408960i | ||||
\(953\) | −4.35030 | − | 24.6718i | −0.140920 | − | 0.799197i | −0.970553 | − | 0.240888i | \(-0.922561\pi\) |
0.829633 | − | 0.558309i | \(-0.188550\pi\) | |||||||
\(954\) | 10.9389 | − | 16.3663i | 0.354160 | − | 0.529878i | ||||
\(955\) | −3.41689 | + | 39.0552i | −0.110568 | + | 1.26380i | ||||
\(956\) | 0.663250 | + | 15.2883i | 0.0214511 | + | 0.494459i | ||||
\(957\) | 5.02115 | + | 18.7392i | 0.162311 | + | 0.605751i | ||||
\(958\) | −37.4255 | − | 5.76566i | −1.20916 | − | 0.186280i | ||||
\(959\) | 27.1393 | + | 74.5647i | 0.876375 | + | 2.40782i | ||||
\(960\) | −74.3152 | − | 47.4310i | −2.39851 | − | 1.53083i | ||||
\(961\) | 14.7009 | + | 25.4627i | 0.474222 | + | 0.821377i | ||||
\(962\) | 9.16671 | − | 3.56327i | 0.295546 | − | 0.114885i | ||||
\(963\) | 18.3075 | + | 26.1459i | 0.589952 | + | 0.842539i | ||||
\(964\) | −36.5446 | + | 47.5985i | −1.17702 | + | 1.53305i | ||||
\(965\) | 33.8082 | − | 2.95783i | 1.08832 | − | 0.0952160i | ||||
\(966\) | −5.62687 | − | 19.3149i | −0.181042 | − | 0.621446i | ||||
\(967\) | 47.2310 | + | 17.1907i | 1.51885 | + | 0.552815i | 0.960860 | − | 0.277035i | \(-0.0893519\pi\) |
0.557986 | + | 0.829850i | \(0.311574\pi\) | |||||||
\(968\) | 10.7369 | + | 5.30042i | 0.345097 | + | 0.170362i | ||||
\(969\) | −22.2153 | + | 2.97336i | −0.713657 | + | 0.0955182i | ||||
\(970\) | 31.0207 | − | 3.39297i | 0.996015 | − | 0.108942i | ||||
\(971\) | −16.9176 | − | 36.2800i | −0.542913 | − | 1.16428i | −0.966083 | − | 0.258231i | \(-0.916861\pi\) |
0.423170 | − | 0.906050i | \(-0.360917\pi\) | |||||||
\(972\) | −1.07152 | + | 2.58485i | −0.0343690 | + | 0.0829091i | ||||
\(973\) | 18.3471 | − | 1.60516i | 0.588181 | − | 0.0514592i | ||||
\(974\) | 0.733340 | + | 33.8237i | 0.0234977 | + | 1.08378i | ||||
\(975\) | −68.8145 | − | 12.1338i | −2.20383 | − | 0.388594i | ||||
\(976\) | −1.54836 | − | 1.84735i | −0.0495619 | − | 0.0591322i | ||||
\(977\) | 40.7367 | − | 23.5194i | 1.30328 | − | 0.752451i | 0.322318 | − | 0.946631i | \(-0.395538\pi\) |
0.980966 | + | 0.194180i | \(0.0622046\pi\) | |||||||
\(978\) | 2.21721 | + | 0.752984i | 0.0708985 | + | 0.0240778i | ||||
\(979\) | 9.27650 | − | 19.8935i | 0.296478 | − | 0.635799i | ||||
\(980\) | 53.3547 | + | 2.34435i | 1.70435 | + | 0.0748876i | ||||
\(981\) | 7.72449 | + | 28.8282i | 0.246624 | + | 0.920413i | ||||
\(982\) | 2.47436 | − | 37.6713i | 0.0789600 | − | 1.20214i | ||||
\(983\) | −6.04411 | − | 7.20309i | −0.192777 | − | 0.229743i | 0.660994 | − | 0.750391i | \(-0.270135\pi\) |
−0.853771 | + | 0.520648i | \(0.825690\pi\) | |||||||
\(984\) | −20.1365 | + | 51.7171i | −0.641927 | + | 1.64868i | ||||
\(985\) | 62.9341 | − | 11.0970i | 2.00525 | − | 0.353579i | ||||
\(986\) | 0.947083 | − | 3.86808i | 0.0301613 | − | 0.123185i | ||||
\(987\) | 83.2895 | + | 83.2895i | 2.65113 | + | 2.65113i | ||||
\(988\) | −22.6884 | − | 8.20975i | −0.721814 | − | 0.261187i | ||||
\(989\) | 2.48723 | − | 2.48723i | 0.0790893 | − | 0.0790893i | ||||
\(990\) | 104.894 | − | 63.6315i | 3.33376 | − | 2.02234i | ||||
\(991\) | −9.40912 | − | 53.3618i | −0.298891 | − | 1.69509i | −0.650954 | − | 0.759117i | \(-0.725631\pi\) |
0.352064 | − | 0.935976i | \(-0.385480\pi\) | |||||||
\(992\) | 4.22472 | + | 5.77018i | 0.134135 | + | 0.183203i | ||||
\(993\) | 43.2193 | − | 36.2653i | 1.37152 | − | 1.15084i | ||||
\(994\) | 48.3633 | + | 55.1633i | 1.53399 | + | 1.74967i | ||||
\(995\) | −21.1432 | + | 5.66530i | −0.670285 | + | 0.179602i | ||||
\(996\) | −46.0342 | + | 42.1591i | −1.45865 | + | 1.33586i | ||||
\(997\) | −19.1387 | − | 8.92450i | −0.606127 | − | 0.282642i | 0.0952258 | − | 0.995456i | \(-0.469643\pi\) |
−0.701353 | + | 0.712814i | \(0.747420\pi\) | |||||||
\(998\) | 11.0290 | + | 22.3725i | 0.349118 | + | 0.708188i | ||||
\(999\) | 11.6443 | + | 20.1685i | 0.368409 | + | 0.638104i |
(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 | 304.2.bg.a.91.12 | ✓ | 456 | |
16.3 | odd | 4 | inner | 304.2.bg.a.243.35 | yes | 456 | |
19.14 | odd | 18 | inner | 304.2.bg.a.299.35 | yes | 456 | |
304.147 | even | 36 | inner | 304.2.bg.a.147.12 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bg.a.91.12 | ✓ | 456 | 1.1 | even | 1 | trivial | |
304.2.bg.a.147.12 | yes | 456 | 304.147 | even | 36 | inner | |
304.2.bg.a.243.35 | yes | 456 | 16.3 | odd | 4 | inner | |
304.2.bg.a.299.35 | yes | 456 | 19.14 | odd | 18 | inner |