Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.6 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.6 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.681310 | − | 1.87188i | −0.481759 | − | 1.32362i | −0.907984 | − | 0.419005i | \(-0.862379\pi\) |
0.426225 | − | 0.904617i | \(-0.359843\pi\) | |||||||
\(3\) | 0.917364 | − | 1.46916i | 0.529640 | − | 0.848222i | ||||
\(4\) | −1.50768 | + | 1.26509i | −0.753838 | + | 0.632545i | ||||
\(5\) | 0.291735 | + | 1.65451i | 0.130468 | + | 0.739921i | 0.977909 | + | 0.209031i | \(0.0670310\pi\) |
−0.847441 | + | 0.530890i | \(0.821858\pi\) | |||||||
\(6\) | −3.37511 | − | 0.716242i | −1.37788 | − | 0.292405i | ||||
\(7\) | 0.496759 | − | 2.59870i | 0.187757 | − | 0.982215i | ||||
\(8\) | −0.0549773 | − | 0.0317412i | −0.0194374 | − | 0.0112222i | ||||
\(9\) | −1.31689 | − | 2.69552i | −0.438962 | − | 0.898505i | ||||
\(10\) | 2.89829 | − | 1.67333i | 0.916521 | − | 0.529154i | ||||
\(11\) | −3.13877 | − | 0.553450i | −0.946374 | − | 0.166871i | −0.320897 | − | 0.947114i | \(-0.603984\pi\) |
−0.625477 | + | 0.780243i | \(0.715096\pi\) | |||||||
\(12\) | 0.475538 | + | 3.37557i | 0.137276 | + | 0.974444i | ||||
\(13\) | 0.877617 | − | 2.41123i | 0.243407 | − | 0.668756i | −0.756484 | − | 0.654012i | \(-0.773085\pi\) |
0.999891 | − | 0.0147436i | \(-0.00469320\pi\) | |||||||
\(14\) | −5.20291 | + | 0.840643i | −1.39054 | + | 0.224671i | ||||
\(15\) | 2.69838 | + | 1.08918i | 0.696719 | + | 0.281226i | ||||
\(16\) | −0.705484 | + | 4.00100i | −0.176371 | + | 1.00025i | ||||
\(17\) | 0.934264 | + | 1.61819i | 0.226592 | + | 0.392469i | 0.956796 | − | 0.290760i | \(-0.0939082\pi\) |
−0.730204 | + | 0.683229i | \(0.760575\pi\) | |||||||
\(18\) | −4.14849 | + | 4.30154i | −0.977807 | + | 1.01388i | ||||
\(19\) | 5.71942 | + | 3.30211i | 1.31213 | + | 0.757556i | 0.982448 | − | 0.186538i | \(-0.0597267\pi\) |
0.329677 | + | 0.944094i | \(0.393060\pi\) | |||||||
\(20\) | −2.53295 | − | 2.12540i | −0.566385 | − | 0.475254i | ||||
\(21\) | −3.36220 | − | 3.11377i | −0.733693 | − | 0.679481i | ||||
\(22\) | 1.10248 | + | 6.25248i | 0.235050 | + | 1.33303i | ||||
\(23\) | 4.62225 | + | 5.50858i | 0.963805 | + | 1.14862i | 0.988848 | + | 0.148932i | \(0.0475834\pi\) |
−0.0250426 | + | 0.999686i | \(0.507972\pi\) | |||||||
\(24\) | −0.0970672 | + | 0.0516525i | −0.0198138 | + | 0.0105435i | ||||
\(25\) | 2.04616 | − | 0.744740i | 0.409231 | − | 0.148948i | ||||
\(26\) | −5.11148 | −1.00244 | ||||||||
\(27\) | −5.16822 | − | 0.538047i | −0.994625 | − | 0.103547i | ||||
\(28\) | 2.53864 | + | 4.54644i | 0.479757 | + | 0.859196i | ||||
\(29\) | −3.25414 | − | 8.94067i | −0.604278 | − | 1.66024i | −0.742506 | − | 0.669840i | \(-0.766363\pi\) |
0.138228 | − | 0.990400i | \(-0.455859\pi\) | |||||||
\(30\) | 0.200393 | − | 5.79312i | 0.0365865 | − | 1.05767i | ||||
\(31\) | 0.942831 | + | 1.12362i | 0.169337 | + | 0.201809i | 0.844038 | − | 0.536283i | \(-0.180172\pi\) |
−0.674701 | + | 0.738091i | \(0.735727\pi\) | |||||||
\(32\) | 7.84502 | − | 1.38329i | 1.38682 | − | 0.244533i | ||||
\(33\) | −3.69250 | + | 4.10365i | −0.642782 | + | 0.714354i | ||||
\(34\) | 2.39254 | − | 2.85132i | 0.410318 | − | 0.488998i | ||||
\(35\) | 4.44450 | + | 0.0637627i | 0.751258 | + | 0.0107779i | ||||
\(36\) | 5.39551 | + | 2.39799i | 0.899252 | + | 0.399664i | ||||
\(37\) | −0.322537 | − | 0.558651i | −0.0530248 | − | 0.0918416i | 0.838295 | − | 0.545217i | \(-0.183553\pi\) |
−0.891319 | + | 0.453376i | \(0.850220\pi\) | |||||||
\(38\) | 2.28447 | − | 12.9559i | 0.370589 | − | 2.10172i | ||||
\(39\) | −2.73740 | − | 3.50134i | −0.438335 | − | 0.560663i | ||||
\(40\) | 0.0364774 | − | 0.100221i | 0.00576758 | − | 0.0158463i | ||||
\(41\) | 0.477380 | + | 0.173752i | 0.0745542 | + | 0.0271355i | 0.379028 | − | 0.925385i | \(-0.376258\pi\) |
−0.304474 | + | 0.952521i | \(0.598481\pi\) | |||||||
\(42\) | −3.53792 | + | 8.41510i | −0.545912 | + | 1.29848i | ||||
\(43\) | −0.197774 | + | 1.12163i | −0.0301603 | + | 0.171048i | −0.996167 | − | 0.0874683i | \(-0.972122\pi\) |
0.966007 | + | 0.258516i | \(0.0832334\pi\) | |||||||
\(44\) | 5.43241 | − | 3.13640i | 0.818967 | − | 0.472831i | ||||
\(45\) | 4.07559 | − | 2.96518i | 0.607553 | − | 0.442024i | ||||
\(46\) | 7.16224 | − | 12.4054i | 1.05601 | − | 1.82907i | ||||
\(47\) | 8.83196 | + | 7.41090i | 1.28827 | + | 1.08099i | 0.992046 | + | 0.125873i | \(0.0401732\pi\) |
0.296228 | + | 0.955117i | \(0.404271\pi\) | |||||||
\(48\) | 5.23094 | + | 4.70684i | 0.755021 | + | 0.679374i | ||||
\(49\) | −6.50646 | − | 2.58185i | −0.929494 | − | 0.368836i | ||||
\(50\) | −2.78813 | − | 3.32277i | −0.394302 | − | 0.469911i | ||||
\(51\) | 3.23445 | + | 0.111884i | 0.452914 | + | 0.0156669i | ||||
\(52\) | 1.72727 | + | 4.74562i | 0.239529 | + | 0.658099i | ||||
\(53\) | 1.23939i | 0.170243i | 0.996371 | + | 0.0851215i | \(0.0271278\pi\) | ||||
−0.996371 | + | 0.0851215i | \(0.972872\pi\) | |||||||
\(54\) | 2.51400 | + | 10.0409i | 0.342112 | + | 1.36639i | ||||
\(55\) | − | 5.35460i | − | 0.722013i | ||||||
\(56\) | −0.109796 | + | 0.127102i | −0.0146721 | + | 0.0169847i | ||||
\(57\) | 10.0981 | − | 5.37353i | 1.33753 | − | 0.711742i | ||||
\(58\) | −14.5188 | + | 12.1827i | −1.90641 | + | 1.59967i | ||||
\(59\) | −0.0973892 | − | 0.552322i | −0.0126790 | − | 0.0719062i | 0.977812 | − | 0.209486i | \(-0.0671789\pi\) |
−0.990491 | + | 0.137579i | \(0.956068\pi\) | |||||||
\(60\) | −5.44620 | + | 1.77156i | −0.703101 | + | 0.228707i | ||||
\(61\) | −4.58297 | + | 5.46178i | −0.586790 | + | 0.699309i | −0.974986 | − | 0.222268i | \(-0.928654\pi\) |
0.388196 | + | 0.921577i | \(0.373098\pi\) | |||||||
\(62\) | 1.46093 | − | 2.53041i | 0.185538 | − | 0.321362i | ||||
\(63\) | −7.65901 | + | 2.08317i | −0.964944 | + | 0.262455i | ||||
\(64\) | −3.87153 | − | 6.70568i | −0.483941 | − | 0.838210i | ||||
\(65\) | 4.24545 | + | 0.748587i | 0.526583 | + | 0.0928508i | ||||
\(66\) | 10.1973 | + | 4.11607i | 1.25520 | + | 0.506654i | ||||
\(67\) | 8.34610 | + | 3.03773i | 1.01964 | + | 0.371118i | 0.797127 | − | 0.603812i | \(-0.206352\pi\) |
0.222512 | + | 0.974930i | \(0.428574\pi\) | |||||||
\(68\) | −3.45573 | − | 1.25778i | −0.419068 | − | 0.152528i | ||||
\(69\) | 12.3333 | − | 1.73747i | 1.48475 | − | 0.209166i | ||||
\(70\) | −2.90873 | − | 8.36303i | −0.347659 | − | 0.999574i | ||||
\(71\) | −5.31767 | + | 3.07016i | −0.631092 | + | 0.364361i | −0.781175 | − | 0.624312i | \(-0.785379\pi\) |
0.150083 | + | 0.988673i | \(0.452046\pi\) | |||||||
\(72\) | −0.0131599 | + | 0.189992i | −0.00155091 | + | 0.0223908i | ||||
\(73\) | −5.75058 | − | 3.32010i | −0.673055 | − | 0.388588i | 0.124178 | − | 0.992260i | \(-0.460371\pi\) |
−0.797233 | + | 0.603671i | \(0.793704\pi\) | |||||||
\(74\) | −0.825982 | + | 0.984367i | −0.0960184 | + | 0.114430i | ||||
\(75\) | 0.782925 | − | 3.68934i | 0.0904044 | − | 0.426008i | ||||
\(76\) | −12.8005 | + | 2.25707i | −1.46832 | + | 0.258904i | ||||
\(77\) | −2.99746 | + | 7.88178i | −0.341592 | + | 0.898212i | ||||
\(78\) | −4.68908 | + | 7.50960i | −0.530934 | + | 0.850294i | ||||
\(79\) | 0.814895 | − | 0.296597i | 0.0916828 | − | 0.0333698i | −0.295772 | − | 0.955259i | \(-0.595577\pi\) |
0.387454 | + | 0.921889i | \(0.373354\pi\) | |||||||
\(80\) | −6.82552 | −0.763117 | ||||||||
\(81\) | −5.53162 | + | 7.09938i | −0.614624 | + | 0.788820i | ||||
\(82\) | − | 1.01198i | − | 0.111754i | ||||||
\(83\) | 7.67310 | − | 2.79278i | 0.842232 | − | 0.306547i | 0.115363 | − | 0.993323i | \(-0.463197\pi\) |
0.726869 | + | 0.686776i | \(0.240975\pi\) | |||||||
\(84\) | 9.00832 | + | 0.441067i | 0.982888 | + | 0.0481244i | ||||
\(85\) | −2.40476 | + | 2.01784i | −0.260833 | + | 0.218865i | ||||
\(86\) | 2.23431 | − | 0.393970i | 0.240932 | − | 0.0424829i | ||||
\(87\) | −16.1205 | − | 3.42098i | −1.72830 | − | 0.366768i | ||||
\(88\) | 0.154994 | + | 0.130055i | 0.0165224 | + | 0.0138639i | ||||
\(89\) | 3.77720 | − | 6.54230i | 0.400383 | − | 0.693483i | −0.593389 | − | 0.804915i | \(-0.702211\pi\) |
0.993772 | + | 0.111433i | \(0.0355439\pi\) | |||||||
\(90\) | −8.32722 | − | 5.60881i | −0.877766 | − | 0.591221i | ||||
\(91\) | −5.83010 | − | 3.47846i | −0.611161 | − | 0.364642i | ||||
\(92\) | −13.9377 | − | 2.45759i | −1.45311 | − | 0.256222i | ||||
\(93\) | 2.51571 | − | 0.354403i | 0.260867 | − | 0.0367499i | ||||
\(94\) | 7.85503 | − | 21.5815i | 0.810185 | − | 2.22596i | ||||
\(95\) | −3.79483 | + | 10.4262i | −0.389341 | + | 1.06971i | ||||
\(96\) | 5.16446 | − | 12.7946i | 0.527096 | − | 1.30584i | ||||
\(97\) | 9.45944 | + | 1.66796i | 0.960461 | + | 0.169355i | 0.631833 | − | 0.775104i | \(-0.282303\pi\) |
0.328628 | + | 0.944460i | \(0.393414\pi\) | |||||||
\(98\) | −0.400014 | + | 13.9384i | −0.0404075 | + | 1.40799i | ||||
\(99\) | 2.64157 | + | 9.18943i | 0.265488 | + | 0.923573i | ||||
\(100\) | −2.14278 | + | 3.71140i | −0.214278 | + | 0.371140i | ||||
\(101\) | −0.579504 | − | 0.486261i | −0.0576628 | − | 0.0483848i | 0.613501 | − | 0.789694i | \(-0.289761\pi\) |
−0.671164 | + | 0.741309i | \(0.734205\pi\) | |||||||
\(102\) | −1.99423 | − | 6.13074i | −0.197458 | − | 0.607034i | ||||
\(103\) | −17.6544 | + | 3.11294i | −1.73954 | + | 0.306727i | −0.951214 | − | 0.308533i | \(-0.900162\pi\) |
−0.788324 | + | 0.615260i | \(0.789051\pi\) | |||||||
\(104\) | −0.124784 | + | 0.104707i | −0.0122361 | + | 0.0102673i | ||||
\(105\) | 4.17090 | − | 6.47121i | 0.407039 | − | 0.631526i | ||||
\(106\) | 2.31999 | − | 0.844407i | 0.225337 | − | 0.0820161i | ||||
\(107\) | − | 5.82280i | − | 0.562912i | −0.959574 | − | 0.281456i | \(-0.909183\pi\) | ||
0.959574 | − | 0.281456i | \(-0.0908173\pi\) | |||||||
\(108\) | 8.47268 | − | 5.72707i | 0.815284 | − | 0.551087i | ||||
\(109\) | −9.44448 | −0.904617 | −0.452309 | − | 0.891861i | \(-0.649399\pi\) | ||||
−0.452309 | + | 0.891861i | \(0.649399\pi\) | |||||||
\(110\) | −10.0232 | + | 3.64814i | −0.955673 | + | 0.347836i | ||||
\(111\) | −1.11663 | − | 0.0386260i | −0.105986 | − | 0.00366622i | ||||
\(112\) | 10.0469 | + | 3.82087i | 0.949346 | + | 0.361039i | ||||
\(113\) | −19.8413 | + | 3.49856i | −1.86652 | + | 0.329117i | −0.988703 | − | 0.149888i | \(-0.952109\pi\) |
−0.877812 | + | 0.479005i | \(0.840998\pi\) | |||||||
\(114\) | −16.9386 | − | 15.2415i | −1.58644 | − | 1.42750i | ||||
\(115\) | −7.76554 | + | 9.25462i | −0.724141 | + | 0.862997i | ||||
\(116\) | 16.2169 | + | 9.36285i | 1.50570 | + | 0.869319i | ||||
\(117\) | −7.65524 | + | 0.809690i | −0.707727 | + | 0.0748558i | ||||
\(118\) | −0.967530 | + | 0.558604i | −0.0890683 | + | 0.0514236i | ||||
\(119\) | 4.66930 | − | 1.62402i | 0.428034 | − | 0.148873i | ||||
\(120\) | −0.113778 | − | 0.145530i | −0.0103864 | − | 0.0132850i | ||||
\(121\) | −0.791060 | − | 0.287922i | −0.0719145 | − | 0.0261748i | ||||
\(122\) | 13.3462 | + | 4.85763i | 1.20831 | + | 0.439789i | ||||
\(123\) | 0.693201 | − | 0.541955i | 0.0625038 | − | 0.0488665i | ||||
\(124\) | −2.84297 | − | 0.501292i | −0.255306 | − | 0.0450174i | ||||
\(125\) | 6.02921 | + | 10.4429i | 0.539269 | + | 0.934042i | ||||
\(126\) | 9.11761 | + | 12.9175i | 0.812261 | + | 1.15078i | ||||
\(127\) | −6.79079 | + | 11.7620i | −0.602585 | + | 1.04371i | 0.389843 | + | 0.920881i | \(0.372529\pi\) |
−0.992428 | + | 0.122827i | \(0.960804\pi\) | |||||||
\(128\) | 0.326404 | − | 0.388993i | 0.0288503 | − | 0.0343824i | ||||
\(129\) | 1.46643 | + | 1.31951i | 0.129112 | + | 0.116176i | ||||
\(130\) | −1.49120 | − | 8.45701i | −0.130787 | − | 0.741728i | ||||
\(131\) | 2.75723 | − | 2.31359i | 0.240901 | − | 0.202140i | −0.514342 | − | 0.857585i | \(-0.671964\pi\) |
0.755242 | + | 0.655446i | \(0.227519\pi\) | |||||||
\(132\) | 0.375606 | − | 10.8583i | 0.0326923 | − | 0.945096i | ||||
\(133\) | 11.4224 | − | 13.2227i | 0.990444 | − | 1.14655i | ||||
\(134\) | − | 17.6926i | − | 1.52840i | ||||||
\(135\) | −0.617547 | − | 8.70786i | −0.0531500 | − | 0.749453i | ||||
\(136\) | − | 0.118619i | − | 0.0101715i | ||||||
\(137\) | 0.743270 | + | 2.04212i | 0.0635018 | + | 0.174470i | 0.967386 | − | 0.253308i | \(-0.0815187\pi\) |
−0.903884 | + | 0.427778i | \(0.859296\pi\) | |||||||
\(138\) | −11.6551 | − | 21.9027i | −0.992150 | − | 1.86448i | ||||
\(139\) | 13.3535 | + | 15.9141i | 1.13263 | + | 1.34982i | 0.928701 | + | 0.370830i | \(0.120927\pi\) |
0.203929 | + | 0.978986i | \(0.434629\pi\) | |||||||
\(140\) | −6.78154 | + | 5.52657i | −0.573145 | + | 0.467080i | ||||
\(141\) | 18.9899 | − | 6.17711i | 1.59924 | − | 0.520207i | ||||
\(142\) | 9.36997 | + | 7.86234i | 0.786310 | + | 0.659793i | ||||
\(143\) | −4.08913 | + | 7.08258i | −0.341950 | + | 0.592275i | ||||
\(144\) | 11.7138 | − | 3.36722i | 0.976150 | − | 0.280602i | ||||
\(145\) | 13.8431 | − | 7.99232i | 1.14961 | − | 0.663726i | ||||
\(146\) | −2.29691 | + | 13.0264i | −0.190094 | + | 1.07808i | ||||
\(147\) | −9.76196 | + | 7.19056i | −0.805153 | + | 0.593067i | ||||
\(148\) | 1.19303 | + | 0.434226i | 0.0980661 | + | 0.0356931i | ||||
\(149\) | 0.460486 | − | 1.26518i | 0.0377245 | − | 0.103647i | −0.919400 | − | 0.393323i | \(-0.871325\pi\) |
0.957125 | + | 0.289676i | \(0.0935476\pi\) | |||||||
\(150\) | −7.43943 | + | 1.04804i | −0.607427 | + | 0.0855720i | ||||
\(151\) | −0.578521 | + | 3.28095i | −0.0470794 | + | 0.267000i | −0.999257 | − | 0.0385451i | \(-0.987728\pi\) |
0.952178 | + | 0.305545i | \(0.0988388\pi\) | |||||||
\(152\) | −0.209626 | − | 0.363082i | −0.0170029 | − | 0.0294499i | ||||
\(153\) | 3.13154 | − | 4.64930i | 0.253170 | − | 0.375874i | ||||
\(154\) | 16.7960 | + | 0.240962i | 1.35346 | + | 0.0194173i | ||||
\(155\) | −1.58399 | + | 1.88773i | −0.127229 | + | 0.151626i | ||||
\(156\) | 8.55663 | + | 1.81583i | 0.685079 | + | 0.145382i | ||||
\(157\) | 17.2240 | − | 3.03706i | 1.37463 | − | 0.242384i | 0.562950 | − | 0.826491i | \(-0.309666\pi\) |
0.811676 | + | 0.584107i | \(0.198555\pi\) | |||||||
\(158\) | −1.11039 | − | 1.32331i | −0.0883380 | − | 0.105277i | ||||
\(159\) | 1.82086 | + | 1.13697i | 0.144404 | + | 0.0901676i | ||||
\(160\) | 4.57734 | + | 12.5761i | 0.361871 | + | 0.994231i | ||||
\(161\) | 16.6113 | − | 9.27538i | 1.30915 | − | 0.731003i | ||||
\(162\) | 17.0580 | + | 5.51767i | 1.34020 | + | 0.433509i | ||||
\(163\) | −20.1830 | −1.58085 | −0.790425 | − | 0.612558i | \(-0.790141\pi\) | ||||
−0.790425 | + | 0.612558i | \(0.790141\pi\) | |||||||
\(164\) | −0.939546 | + | 0.341967i | −0.0733662 | + | 0.0267031i | ||||
\(165\) | −7.86678 | − | 4.91211i | −0.612428 | − | 0.382407i | ||||
\(166\) | −10.4555 | − | 12.4604i | −0.811506 | − | 0.967115i | ||||
\(167\) | −0.218933 | − | 1.24163i | −0.0169415 | − | 0.0960802i | 0.975165 | − | 0.221482i | \(-0.0710893\pi\) |
−0.992106 | + | 0.125401i | \(0.959978\pi\) | |||||||
\(168\) | 0.0860102 | + | 0.277907i | 0.00663583 | + | 0.0214410i | ||||
\(169\) | 4.91475 | + | 4.12396i | 0.378057 | + | 0.317228i | ||||
\(170\) | 5.41554 | + | 3.12667i | 0.415353 | + | 0.239804i | ||||
\(171\) | 1.36906 | − | 19.7653i | 0.104695 | − | 1.51149i | ||||
\(172\) | −1.12079 | − | 1.94126i | −0.0854594 | − | 0.148020i | ||||
\(173\) | −3.14577 | + | 17.8405i | −0.239168 | + | 1.35639i | 0.594486 | + | 0.804106i | \(0.297355\pi\) |
−0.833655 | + | 0.552286i | \(0.813756\pi\) | |||||||
\(174\) | 4.57940 | + | 32.5065i | 0.347163 | + | 2.46431i | ||||
\(175\) | −0.918908 | − | 5.68730i | −0.0694629 | − | 0.429920i | ||||
\(176\) | 4.42870 | − | 12.1678i | 0.333826 | − | 0.917179i | ||||
\(177\) | −0.900793 | − | 0.363599i | −0.0677077 | − | 0.0273298i | ||||
\(178\) | −14.8199 | − | 2.61314i | −1.11080 | − | 0.195863i | ||||
\(179\) | 5.04916 | − | 2.91514i | 0.377392 | − | 0.217887i | −0.299291 | − | 0.954162i | \(-0.596750\pi\) |
0.676683 | + | 0.736274i | \(0.263417\pi\) | |||||||
\(180\) | −2.39344 | + | 9.62652i | −0.178396 | + | 0.717519i | ||||
\(181\) | −21.6062 | − | 12.4743i | −1.60598 | − | 0.927210i | −0.990258 | − | 0.139243i | \(-0.955533\pi\) |
−0.615717 | − | 0.787967i | \(-0.711134\pi\) | |||||||
\(182\) | −2.53917 | + | 13.2832i | −0.188216 | + | 0.984615i | ||||
\(183\) | 3.81999 | + | 11.7436i | 0.282382 | + | 0.868110i | ||||
\(184\) | −0.0792700 | − | 0.449562i | −0.00584386 | − | 0.0331422i | ||||
\(185\) | 0.830200 | − | 0.696620i | 0.0610375 | − | 0.0512166i | ||||
\(186\) | −2.37738 | − | 4.46765i | −0.174318 | − | 0.327584i | ||||
\(187\) | −2.03685 | − | 5.59620i | −0.148949 | − | 0.409235i | ||||
\(188\) | −22.6912 | −1.65493 | ||||||||
\(189\) | −3.96558 | + | 13.1634i | −0.288454 | + | 0.957494i | ||||
\(190\) | 22.1021 | 1.60345 | ||||||||
\(191\) | 1.74057 | + | 4.78218i | 0.125943 | + | 0.346026i | 0.986600 | − | 0.163160i | \(-0.0521687\pi\) |
−0.860656 | + | 0.509186i | \(0.829946\pi\) | |||||||
\(192\) | −13.4033 | − | 0.463642i | −0.967303 | − | 0.0334604i | ||||
\(193\) | −1.96765 | + | 1.65106i | −0.141635 | + | 0.118846i | −0.710852 | − | 0.703341i | \(-0.751691\pi\) |
0.569218 | + | 0.822187i | \(0.307246\pi\) | |||||||
\(194\) | −3.32260 | − | 18.8434i | −0.238548 | − | 1.35288i | ||||
\(195\) | 4.99442 | − | 5.55053i | 0.357658 | − | 0.397482i | ||||
\(196\) | 13.0759 | − | 4.33866i | 0.933994 | − | 0.309904i | ||||
\(197\) | −2.15214 | − | 1.24254i | −0.153334 | − | 0.0885272i | 0.421370 | − | 0.906889i | \(-0.361549\pi\) |
−0.574704 | + | 0.818362i | \(0.694883\pi\) | |||||||
\(198\) | 15.4018 | − | 11.2056i | 1.09456 | − | 0.796345i | ||||
\(199\) | −16.9476 | + | 9.78473i | −1.20139 | + | 0.693621i | −0.960863 | − | 0.277023i | \(-0.910652\pi\) |
−0.240523 | + | 0.970643i | \(0.577319\pi\) | |||||||
\(200\) | −0.136131 | − | 0.0240036i | −0.00962593 | − | 0.00169731i | ||||
\(201\) | 12.1193 | − | 9.47508i | 0.854832 | − | 0.668321i | ||||
\(202\) | −0.515403 | + | 1.41606i | −0.0362636 | + | 0.0996335i | ||||
\(203\) | −24.8506 | + | 4.01516i | −1.74417 | + | 0.281809i | ||||
\(204\) | −5.01805 | + | 3.92319i | −0.351334 | + | 0.274678i | ||||
\(205\) | −0.148206 | + | 0.840521i | −0.0103512 | + | 0.0587045i | ||||
\(206\) | 17.8552 | + | 30.9261i | 1.24403 | + | 2.15472i | ||||
\(207\) | 8.76149 | − | 19.7135i | 0.608966 | − | 1.37018i | ||||
\(208\) | 9.02819 | + | 5.21243i | 0.625993 | + | 0.361417i | ||||
\(209\) | −16.1244 | − | 13.5300i | −1.11535 | − | 0.935887i | ||||
\(210\) | −14.9550 | − | 3.39855i | −1.03200 | − | 0.234522i | ||||
\(211\) | −4.93177 | − | 27.9694i | −0.339517 | − | 1.92550i | −0.377033 | − | 0.926200i | \(-0.623056\pi\) |
0.0375160 | − | 0.999296i | \(-0.488055\pi\) | |||||||
\(212\) | −1.56794 | − | 1.86860i | −0.107686 | − | 0.128336i | ||||
\(213\) | −0.367673 | + | 10.6290i | −0.0251925 | + | 0.728287i | ||||
\(214\) | −10.8996 | + | 3.96713i | −0.745082 | + | 0.271188i | ||||
\(215\) | −1.91346 | −0.130497 | ||||||||
\(216\) | 0.267057 | + | 0.193626i | 0.0181709 | + | 0.0131746i | ||||
\(217\) | 3.38832 | − | 1.89196i | 0.230014 | − | 0.128435i | ||||
\(218\) | 6.43462 | + | 17.6790i | 0.435807 | + | 1.19737i | ||||
\(219\) | −10.1532 | + | 5.40281i | −0.686087 | + | 0.365088i | ||||
\(220\) | 6.77405 | + | 8.07300i | 0.456706 | + | 0.544281i | ||||
\(221\) | 4.72176 | − | 0.832574i | 0.317620 | − | 0.0560050i | ||||
\(222\) | 0.688470 | + | 2.11653i | 0.0462071 | + | 0.142052i | ||||
\(223\) | −8.91266 | + | 10.6217i | −0.596836 | + | 0.711281i | −0.976904 | − | 0.213677i | \(-0.931456\pi\) |
0.380069 | + | 0.924958i | \(0.375900\pi\) | |||||||
\(224\) | 0.302336 | − | 21.0740i | 0.0202007 | − | 1.40807i | ||||
\(225\) | −4.70202 | − | 4.53471i | −0.313468 | − | 0.302314i | ||||
\(226\) | 20.0670 | + | 34.7571i | 1.33484 | + | 2.31200i | ||||
\(227\) | 3.16640 | − | 17.9575i | 0.210161 | − | 1.19188i | −0.678947 | − | 0.734187i | \(-0.737564\pi\) |
0.889109 | − | 0.457696i | \(-0.151325\pi\) | |||||||
\(228\) | −8.42671 | + | 20.8766i | −0.558072 | + | 1.38259i | ||||
\(229\) | −2.80126 | + | 7.69640i | −0.185113 | + | 0.508593i | −0.997186 | − | 0.0749621i | \(-0.976116\pi\) |
0.812074 | + | 0.583555i | \(0.198339\pi\) | |||||||
\(230\) | 22.6143 | + | 8.23093i | 1.49114 | + | 0.542732i | ||||
\(231\) | 8.82987 | + | 11.6342i | 0.580962 | + | 0.765475i | ||||
\(232\) | −0.104884 | + | 0.594824i | −0.00688594 | + | 0.0390521i | ||||
\(233\) | 7.85946 | − | 4.53766i | 0.514890 | − | 0.297272i | −0.219951 | − | 0.975511i | \(-0.570590\pi\) |
0.734841 | + | 0.678239i | \(0.237257\pi\) | |||||||
\(234\) | 6.73123 | + | 13.7781i | 0.440035 | + | 0.900700i | ||||
\(235\) | −9.68483 | + | 16.7746i | −0.631769 | + | 1.09426i | ||||
\(236\) | 0.845569 | + | 0.709516i | 0.0550418 | + | 0.0461856i | ||||
\(237\) | 0.311805 | − | 1.46930i | 0.0202539 | − | 0.0954414i | ||||
\(238\) | −6.22121 | − | 7.63392i | −0.403261 | − | 0.494834i | ||||
\(239\) | 12.1412 | + | 14.4693i | 0.785349 | + | 0.935943i | 0.999162 | − | 0.0409317i | \(-0.0130326\pi\) |
−0.213813 | + | 0.976875i | \(0.568588\pi\) | |||||||
\(240\) | −6.26149 | + | 10.0278i | −0.404177 | + | 0.647293i | ||||
\(241\) | 3.70352 | + | 10.1753i | 0.238565 | + | 0.655452i | 0.999974 | + | 0.00718031i | \(0.00228558\pi\) |
−0.761409 | + | 0.648271i | \(0.775492\pi\) | |||||||
\(242\) | 1.67694i | 0.107798i | ||||||||
\(243\) | 5.35565 | + | 14.6396i | 0.343565 | + | 0.939129i | ||||
\(244\) | − | 14.0325i | − | 0.898337i | ||||||
\(245\) | 2.37355 | − | 11.5182i | 0.151640 | − | 0.735874i | ||||
\(246\) | −1.48676 | − | 0.928352i | −0.0947925 | − | 0.0591896i | ||||
\(247\) | 12.9816 | − | 10.8929i | 0.826000 | − | 0.693097i | ||||
\(248\) | −0.0161692 | − | 0.0917003i | −0.00102675 | − | 0.00582298i | ||||
\(249\) | 2.93597 | − | 13.8350i | 0.186060 | − | 0.876760i | ||||
\(250\) | 15.4401 | − | 18.4008i | 0.976520 | − | 1.16377i | ||||
\(251\) | 6.39471 | − | 11.0760i | 0.403630 | − | 0.699108i | −0.590531 | − | 0.807015i | \(-0.701081\pi\) |
0.994161 | + | 0.107907i | \(0.0344148\pi\) | |||||||
\(252\) | 8.91191 | − | 12.8301i | 0.561397 | − | 0.808219i | ||||
\(253\) | −11.4594 | − | 19.8483i | −0.720449 | − | 1.24785i | ||||
\(254\) | 26.6437 | + | 4.69800i | 1.67177 | + | 0.294779i | ||||
\(255\) | 0.758489 | + | 5.38408i | 0.0474984 | + | 0.337164i | ||||
\(256\) | −15.5027 | − | 5.64253i | −0.968920 | − | 0.352658i | ||||
\(257\) | −15.5948 | − | 5.67604i | −0.972777 | − | 0.354062i | −0.193749 | − | 0.981051i | \(-0.562065\pi\) |
−0.779028 | + | 0.626989i | \(0.784287\pi\) | |||||||
\(258\) | 1.47087 | − | 3.64399i | 0.0915725 | − | 0.226865i | ||||
\(259\) | −1.61199 | + | 0.560662i | −0.100164 | + | 0.0348378i | ||||
\(260\) | −7.34779 | + | 4.24225i | −0.455691 | + | 0.263093i | ||||
\(261\) | −19.8144 | + | 20.5454i | −1.22648 | + | 1.27173i | ||||
\(262\) | −6.20931 | − | 3.58495i | −0.383613 | − | 0.221479i | ||||
\(263\) | 10.7230 | − | 12.7791i | 0.661206 | − | 0.787995i | −0.326352 | − | 0.945248i | \(-0.605820\pi\) |
0.987558 | + | 0.157254i | \(0.0502640\pi\) | |||||||
\(264\) | 0.333259 | − | 0.108403i | 0.0205106 | − | 0.00667177i | ||||
\(265\) | −2.05058 | + | 0.361573i | −0.125966 | + | 0.0222113i | ||||
\(266\) | −32.5335 | − | 12.3726i | −1.99476 | − | 0.758611i | ||||
\(267\) | −6.14665 | − | 11.5510i | −0.376169 | − | 0.706910i | ||||
\(268\) | −16.4262 | + | 5.97866i | −1.00339 | + | 0.365205i | ||||
\(269\) | −27.3326 | −1.66650 | −0.833250 | − | 0.552896i | \(-0.813523\pi\) | ||||
−0.833250 | + | 0.552896i | \(0.813523\pi\) | |||||||
\(270\) | −15.8794 | + | 7.08873i | −0.966387 | + | 0.431406i | ||||
\(271\) | 18.1849i | 1.10465i | 0.833628 | + | 0.552326i | \(0.186260\pi\) | ||||
−0.833628 | + | 0.552326i | \(0.813740\pi\) | |||||||
\(272\) | −7.13349 | + | 2.59638i | −0.432532 | + | 0.157429i | ||||
\(273\) | −10.4588 | + | 5.37436i | −0.632993 | + | 0.325271i | ||||
\(274\) | 3.31621 | − | 2.78263i | 0.200339 | − | 0.168105i | ||||
\(275\) | −6.83459 | + | 1.20512i | −0.412141 | + | 0.0726716i | ||||
\(276\) | −16.3966 | + | 18.2223i | −0.986956 | + | 1.09685i | ||||
\(277\) | 2.33912 | + | 1.96275i | 0.140544 | + | 0.117930i | 0.710349 | − | 0.703849i | \(-0.248537\pi\) |
−0.569805 | + | 0.821780i | \(0.692981\pi\) | |||||||
\(278\) | 20.6915 | − | 35.8386i | 1.24099 | − | 2.14946i | ||||
\(279\) | 1.78714 | − | 4.02110i | 0.106993 | − | 0.240737i | ||||
\(280\) | −0.242323 | − | 0.144579i | −0.0144816 | − | 0.00864026i | ||||
\(281\) | −1.31210 | − | 0.231358i | −0.0782732 | − | 0.0138017i | 0.134374 | − | 0.990931i | \(-0.457098\pi\) |
−0.212648 | + | 0.977129i | \(0.568209\pi\) | |||||||
\(282\) | −24.5009 | − | 31.3384i | −1.45901 | − | 1.86618i | ||||
\(283\) | 0.815020 | − | 2.23925i | 0.0484479 | − | 0.133110i | −0.913109 | − | 0.407716i | \(-0.866325\pi\) |
0.961557 | + | 0.274606i | \(0.0885476\pi\) | |||||||
\(284\) | 4.13330 | − | 11.3561i | 0.245266 | − | 0.673863i | ||||
\(285\) | 11.8366 | + | 15.1398i | 0.701138 | + | 0.896807i | ||||
\(286\) | 16.0437 | + | 2.82894i | 0.948686 | + | 0.167279i | ||||
\(287\) | 0.688672 | − | 1.15425i | 0.0406510 | − | 0.0681334i | ||||
\(288\) | −14.0597 | − | 19.3248i | −0.828475 | − | 1.13872i | ||||
\(289\) | 6.75430 | − | 11.6988i | 0.397312 | − | 0.688164i | ||||
\(290\) | −24.3921 | − | 20.4674i | −1.43236 | − | 1.20189i | ||||
\(291\) | 11.1283 | − | 12.3674i | 0.652350 | − | 0.724987i | ||||
\(292\) | 12.8702 | − | 2.26937i | 0.753174 | − | 0.132805i | ||||
\(293\) | 19.4216 | − | 16.2967i | 1.13462 | − | 0.952061i | 0.135372 | − | 0.990795i | \(-0.456777\pi\) |
0.999250 | + | 0.0387342i | \(0.0123326\pi\) | |||||||
\(294\) | 20.1108 | + | 13.3743i | 1.17289 | + | 0.780002i | ||||
\(295\) | 0.885412 | − | 0.322264i | 0.0515507 | − | 0.0187629i | ||||
\(296\) | 0.0409508i | 0.00238022i | ||||||||
\(297\) | 15.9241 | + | 4.54915i | 0.924008 | + | 0.263969i | ||||
\(298\) | −2.68200 | −0.155364 | ||||||||
\(299\) | 17.3390 | − | 6.31089i | 1.00274 | − | 0.364968i | ||||
\(300\) | 3.48695 | + | 6.55280i | 0.201319 | + | 0.378326i | ||||
\(301\) | 2.81654 | + | 1.07114i | 0.162343 | + | 0.0617394i | ||||
\(302\) | 6.53572 | − | 1.15242i | 0.376088 | − | 0.0663145i | ||||
\(303\) | −1.24601 | + | 0.405307i | −0.0715816 | + | 0.0232843i | ||||
\(304\) | −17.2467 | + | 20.5538i | −0.989166 | + | 1.17884i | ||||
\(305\) | −10.3736 | − | 5.98920i | −0.593991 | − | 0.342941i | ||||
\(306\) | −10.8365 | − | 2.69427i | −0.619481 | − | 0.154021i | ||||
\(307\) | 9.17503 | − | 5.29721i | 0.523647 | − | 0.302328i | −0.214779 | − | 0.976663i | \(-0.568903\pi\) |
0.738425 | + | 0.674335i | \(0.235570\pi\) | |||||||
\(308\) | −5.45197 | − | 15.6752i | −0.310655 | − | 0.893179i | ||||
\(309\) | −11.6221 | + | 28.7929i | −0.661156 | + | 1.63797i | ||||
\(310\) | 4.61280 | + | 1.67892i | 0.261989 | + | 0.0953563i | ||||
\(311\) | 5.82677 | + | 2.12077i | 0.330406 | + | 0.120258i | 0.501896 | − | 0.864928i | \(-0.332636\pi\) |
−0.171490 | + | 0.985186i | \(0.554858\pi\) | |||||||
\(312\) | 0.0393584 | + | 0.279383i | 0.00222823 | + | 0.0158169i | ||||
\(313\) | 14.4632 | + | 2.55024i | 0.817506 | + | 0.144148i | 0.566737 | − | 0.823899i | \(-0.308206\pi\) |
0.250769 | + | 0.968047i | \(0.419317\pi\) | |||||||
\(314\) | −17.4199 | − | 30.1722i | −0.983063 | − | 1.70271i | ||||
\(315\) | −5.68103 | − | 12.0642i | −0.320090 | − | 0.679741i | ||||
\(316\) | −0.853375 | + | 1.47809i | −0.0480061 | + | 0.0831490i | ||||
\(317\) | 7.18858 | − | 8.56702i | 0.403751 | − | 0.481172i | −0.525409 | − | 0.850850i | \(-0.676088\pi\) |
0.929160 | + | 0.369678i | \(0.120532\pi\) | |||||||
\(318\) | 0.887702 | − | 4.18307i | 0.0497799 | − | 0.234575i | ||||
\(319\) | 5.26577 | + | 29.8637i | 0.294827 | + | 1.67205i | ||||
\(320\) | 9.96518 | − | 8.36178i | 0.557070 | − | 0.467438i | ||||
\(321\) | −8.55465 | − | 5.34163i | −0.477474 | − | 0.298141i | ||||
\(322\) | −28.6799 | − | 24.7750i | −1.59827 | − | 1.38065i | ||||
\(323\) | 12.3402i | 0.686625i | ||||||||
\(324\) | −0.641470 | − | 17.7016i | −0.0356372 | − | 0.983420i | ||||
\(325\) | − | 5.58736i | − | 0.309931i | ||||||
\(326\) | 13.7508 | + | 37.7801i | 0.761589 | + | 2.09245i | ||||
\(327\) | −8.66403 | + | 13.8755i | −0.479122 | + | 0.767317i | ||||
\(328\) | −0.0207300 | − | 0.0247050i | −0.00114462 | − | 0.00136411i | ||||
\(329\) | 23.6460 | − | 19.2702i | 1.30365 | − | 1.06240i | ||||
\(330\) | −3.83519 | + | 18.0724i | −0.211120 | + | 0.994851i | ||||
\(331\) | −21.2397 | − | 17.8222i | −1.16744 | − | 0.979598i | −0.167460 | − | 0.985879i | \(-0.553556\pi\) |
−0.999980 | + | 0.00628050i | \(0.998001\pi\) | |||||||
\(332\) | −8.03543 | + | 13.9178i | −0.441002 | + | 0.763837i | ||||
\(333\) | −1.08111 | + | 1.60508i | −0.0592443 | + | 0.0879581i | ||||
\(334\) | −2.17503 | + | 1.25575i | −0.119012 | + | 0.0687117i | ||||
\(335\) | −2.59112 | + | 14.6949i | −0.141568 | + | 0.802871i | ||||
\(336\) | 14.8302 | − | 11.2555i | 0.809053 | − | 0.614036i | ||||
\(337\) | 19.3322 | + | 7.03635i | 1.05309 | + | 0.383294i | 0.809829 | − | 0.586666i | \(-0.199560\pi\) |
0.243264 | + | 0.969960i | \(0.421782\pi\) | |||||||
\(338\) | 4.37111 | − | 12.0095i | 0.237757 | − | 0.653232i | ||||
\(339\) | −13.0618 | + | 32.3596i | −0.709417 | + | 1.75753i | ||||
\(340\) | 1.07286 | − | 6.08449i | 0.0581840 | − | 0.329978i | ||||
\(341\) | −2.33746 | − | 4.04860i | −0.126581 | − | 0.219244i | ||||
\(342\) | −37.9311 | + | 10.9036i | −2.05108 | + | 0.589598i | ||||
\(343\) | −9.94160 | + | 15.6258i | −0.536796 | + | 0.843712i | ||||
\(344\) | 0.0464751 | − | 0.0553869i | 0.00250577 | − | 0.00298626i | ||||
\(345\) | 6.47272 | + | 19.8987i | 0.348480 | + | 1.07131i | ||||
\(346\) | 35.5387 | − | 6.26643i | 1.91057 | − | 0.336885i | ||||
\(347\) | −11.8767 | − | 14.1541i | −0.637575 | − | 0.759832i | 0.346410 | − | 0.938083i | \(-0.387401\pi\) |
−0.983985 | + | 0.178251i | \(0.942956\pi\) | |||||||
\(348\) | 28.6324 | − | 15.2362i | 1.53486 | − | 0.816746i | ||||
\(349\) | −2.33201 | − | 6.40713i | −0.124829 | − | 0.342966i | 0.861499 | − | 0.507760i | \(-0.169526\pi\) |
−0.986328 | + | 0.164794i | \(0.947304\pi\) | |||||||
\(350\) | −10.0199 | + | 5.59490i | −0.535586 | + | 0.299060i | ||||
\(351\) | −5.83307 | + | 11.9896i | −0.311346 | + | 0.639957i | ||||
\(352\) | −25.3893 | −1.35325 | ||||||||
\(353\) | 1.67606 | − | 0.610036i | 0.0892077 | − | 0.0324689i | −0.297031 | − | 0.954868i | \(-0.595996\pi\) |
0.386238 | + | 0.922399i | \(0.373774\pi\) | |||||||
\(354\) | −0.0668966 | + | 1.93390i | −0.00355551 | + | 0.102786i | ||||
\(355\) | −6.63098 | − | 7.90249i | −0.351936 | − | 0.419421i | ||||
\(356\) | 2.58181 | + | 14.6422i | 0.136836 | + | 0.776034i | ||||
\(357\) | 1.89750 | − | 8.34978i | 0.100426 | − | 0.441917i | ||||
\(358\) | −8.89684 | − | 7.46533i | −0.470213 | − | 0.394555i | ||||
\(359\) | 20.9229 | + | 12.0799i | 1.10427 | + | 0.637550i | 0.937339 | − | 0.348418i | \(-0.113281\pi\) |
0.166930 | + | 0.985969i | \(0.446614\pi\) | |||||||
\(360\) | −0.318183 | + | 0.0336540i | −0.0167697 | + | 0.00177372i | ||||
\(361\) | 12.3079 | + | 21.3178i | 0.647782 | + | 1.12199i | ||||
\(362\) | −8.63000 | + | 48.9432i | −0.453583 | + | 2.57240i | ||||
\(363\) | −1.14870 | + | 0.898067i | −0.0602909 | + | 0.0471363i | ||||
\(364\) | 13.1905 | − | 2.13121i | 0.691369 | − | 0.111706i | ||||
\(365\) | 3.81550 | − | 10.4830i | 0.199713 | − | 0.548706i | ||||
\(366\) | 19.3800 | − | 15.1516i | 1.01301 | − | 0.791987i | ||||
\(367\) | 12.6882 | + | 2.23726i | 0.662316 | + | 0.116784i | 0.494694 | − | 0.869067i | \(-0.335280\pi\) |
0.167622 | + | 0.985851i | \(0.446391\pi\) | |||||||
\(368\) | −25.3007 | + | 14.6074i | −1.31889 | + | 0.761463i | ||||
\(369\) | −0.160304 | − | 1.51560i | −0.00834507 | − | 0.0788988i | ||||
\(370\) | −1.86962 | − | 1.07942i | −0.0971967 | − | 0.0561165i | ||||
\(371\) | 3.22079 | + | 0.615677i | 0.167215 | + | 0.0319644i | ||||
\(372\) | −3.34452 | + | 3.71692i | −0.173405 | + | 0.192713i | ||||
\(373\) | 3.00218 | + | 17.0262i | 0.155447 | + | 0.881585i | 0.958376 | + | 0.285510i | \(0.0921629\pi\) |
−0.802929 | + | 0.596075i | \(0.796726\pi\) | |||||||
\(374\) | −9.08771 | + | 7.62549i | −0.469914 | + | 0.394305i | ||||
\(375\) | 20.8733 | + | 0.722039i | 1.07789 | + | 0.0372859i | ||||
\(376\) | −0.250327 | − | 0.687768i | −0.0129096 | − | 0.0354689i | ||||
\(377\) | −24.4139 | −1.25738 | ||||||||
\(378\) | 27.3421 | − | 1.54522i | 1.40632 | − | 0.0794777i | ||||
\(379\) | 22.4692 | 1.15416 | 0.577082 | − | 0.816687i | \(-0.304191\pi\) | ||||
0.577082 | + | 0.816687i | \(0.304191\pi\) | |||||||
\(380\) | −7.46872 | − | 20.5201i | −0.383137 | − | 1.05266i | ||||
\(381\) | 11.0507 | + | 20.7668i | 0.566143 | + | 1.06392i | ||||
\(382\) | 7.76581 | − | 6.51629i | 0.397333 | − | 0.333402i | ||||
\(383\) | 3.13629 | + | 17.7868i | 0.160257 | + | 0.908864i | 0.953821 | + | 0.300376i | \(0.0971123\pi\) |
−0.793564 | + | 0.608487i | \(0.791777\pi\) | |||||||
\(384\) | −0.272063 | − | 0.836389i | −0.0138837 | − | 0.0426818i | ||||
\(385\) | −13.9150 | − | 2.65994i | −0.709173 | − | 0.135563i | ||||
\(386\) | 4.43116 | + | 2.55833i | 0.225540 | + | 0.130216i | ||||
\(387\) | 3.28383 | − | 0.943961i | 0.166926 | − | 0.0479842i | ||||
\(388\) | −16.3719 | + | 9.45232i | −0.831157 | + | 0.479869i | ||||
\(389\) | −19.1153 | − | 3.37054i | −0.969184 | − | 0.170893i | −0.333421 | − | 0.942778i | \(-0.608203\pi\) |
−0.635762 | + | 0.771885i | \(0.719314\pi\) | |||||||
\(390\) | −13.7927 | − | 5.56734i | −0.698421 | − | 0.281913i | ||||
\(391\) | −4.59554 | + | 12.6261i | −0.232407 | + | 0.638532i | ||||
\(392\) | 0.275757 | + | 0.348466i | 0.0139278 | + | 0.0176002i | ||||
\(393\) | −0.869663 | − | 6.17324i | −0.0438687 | − | 0.311399i | ||||
\(394\) | −0.859613 | + | 4.87511i | −0.0433067 | + | 0.245604i | ||||
\(395\) | 0.728458 | + | 1.26173i | 0.0366527 | + | 0.0634844i | ||||
\(396\) | −15.6081 | − | 10.5129i | −0.784336 | − | 0.528291i | ||||
\(397\) | 11.5666 | + | 6.67796i | 0.580509 | + | 0.335157i | 0.761336 | − | 0.648358i | \(-0.224544\pi\) |
−0.180826 | + | 0.983515i | \(0.557877\pi\) | |||||||
\(398\) | 29.8625 | + | 25.0576i | 1.49687 | + | 1.25602i | ||||
\(399\) | −8.94785 | − | 28.9113i | −0.447953 | − | 1.44738i | ||||
\(400\) | 1.53617 | + | 8.71208i | 0.0768087 | + | 0.435604i | ||||
\(401\) | 2.35877 | + | 2.81108i | 0.117792 | + | 0.140379i | 0.821718 | − | 0.569894i | \(-0.193016\pi\) |
−0.703926 | + | 0.710273i | \(0.748571\pi\) | |||||||
\(402\) | −25.9933 | − | 16.2305i | −1.29643 | − | 0.809505i | ||||
\(403\) | 3.53676 | − | 1.28728i | 0.176179 | − | 0.0641238i | ||||
\(404\) | 1.48887 | 0.0740740 | ||||||||
\(405\) | −13.3598 | − | 7.08100i | −0.663853 | − | 0.351858i | ||||
\(406\) | 24.4469 | + | 43.7819i | 1.21328 | + | 2.17286i | ||||
\(407\) | 0.703185 | + | 1.93198i | 0.0348556 | + | 0.0957649i | ||||
\(408\) | −0.174270 | − | 0.108816i | −0.00862765 | − | 0.00538721i | ||||
\(409\) | −1.06836 | − | 1.27322i | −0.0528271 | − | 0.0629569i | 0.738984 | − | 0.673723i | \(-0.235306\pi\) |
−0.791811 | + | 0.610766i | \(0.790862\pi\) | |||||||
\(410\) | 1.67433 | − | 0.295230i | 0.0826893 | − | 0.0145804i | ||||
\(411\) | 3.68205 | + | 0.781379i | 0.181622 | + | 0.0385426i | ||||
\(412\) | 22.6789 | − | 27.0277i | 1.11731 | − | 1.33156i | ||||
\(413\) | −1.48370 | − | 0.0212857i | −0.0730079 | − | 0.00104740i | ||||
\(414\) | −42.8707 | − | 2.96947i | −2.10698 | − | 0.145942i | ||||
\(415\) | 6.85921 | + | 11.8805i | 0.336705 | + | 0.583191i | ||||
\(416\) | 3.54949 | − | 20.1302i | 0.174028 | − | 0.986963i | ||||
\(417\) | 35.6304 | − | 5.01948i | 1.74483 | − | 0.245805i | ||||
\(418\) | −14.3408 | + | 39.4011i | −0.701432 | + | 1.92717i | ||||
\(419\) | 0.883387 | + | 0.321527i | 0.0431563 | + | 0.0157076i | 0.363508 | − | 0.931591i | \(-0.381579\pi\) |
−0.320352 | + | 0.947299i | \(0.603801\pi\) | |||||||
\(420\) | 1.89829 | + | 15.0331i | 0.0926273 | + | 0.733538i | ||||
\(421\) | 6.25816 | − | 35.4918i | 0.305004 | − | 1.72976i | −0.318482 | − | 0.947929i | \(-0.603173\pi\) |
0.623486 | − | 0.781835i | \(-0.285716\pi\) | |||||||
\(422\) | −48.9955 | + | 28.2876i | −2.38506 | + | 1.37702i | ||||
\(423\) | 8.34550 | − | 33.5660i | 0.405772 | − | 1.63204i | ||||
\(424\) | 0.0393396 | − | 0.0681382i | 0.00191050 | − | 0.00330908i | ||||
\(425\) | 3.11678 | + | 2.61529i | 0.151186 | + | 0.126860i | ||||
\(426\) | 20.1467 | − | 6.55340i | 0.976113 | − | 0.317513i | ||||
\(427\) | 11.9169 | + | 14.6230i | 0.576698 | + | 0.707654i | ||||
\(428\) | 7.36637 | + | 8.77890i | 0.356067 | + | 0.424344i | ||||
\(429\) | 6.65426 | + | 12.5049i | 0.321270 | + | 0.603743i | ||||
\(430\) | 1.30366 | + | 3.58177i | 0.0628679 | + | 0.172728i | ||||
\(431\) | − | 25.0083i | − | 1.20461i | −0.798268 | − | 0.602303i | \(-0.794250\pi\) | ||
0.798268 | − | 0.602303i | \(-0.205750\pi\) | |||||||
\(432\) | 5.79882 | − | 20.2985i | 0.278996 | − | 0.976610i | ||||
\(433\) | − | 28.5219i | − | 1.37068i | −0.728225 | − | 0.685338i | \(-0.759654\pi\) | ||
0.728225 | − | 0.685338i | \(-0.240346\pi\) | |||||||
\(434\) | −5.85003 | − | 5.05352i | −0.280810 | − | 0.242577i | ||||
\(435\) | 0.957135 | − | 27.6697i | 0.0458911 | − | 1.32666i | ||||
\(436\) | 14.2392 | − | 11.9481i | 0.681935 | − | 0.572211i | ||||
\(437\) | 8.24664 | + | 46.7690i | 0.394490 | + | 2.23727i | ||||
\(438\) | 17.0309 | + | 15.3245i | 0.813767 | + | 0.732234i | ||||
\(439\) | 18.7971 | − | 22.4015i | 0.897136 | − | 1.06917i | −0.100108 | − | 0.994977i | \(-0.531919\pi\) |
0.997244 | − | 0.0741886i | \(-0.0236367\pi\) | |||||||
\(440\) | −0.169961 | + | 0.294381i | −0.00810258 | + | 0.0140341i | ||||
\(441\) | 1.60884 | + | 20.9383i | 0.0766116 | + | 0.997061i | ||||
\(442\) | −4.77547 | − | 8.27135i | −0.227146 | − | 0.393428i | ||||
\(443\) | −2.26061 | − | 0.398607i | −0.107405 | − | 0.0189384i | 0.119687 | − | 0.992812i | \(-0.461811\pi\) |
−0.227092 | + | 0.973873i | \(0.572922\pi\) | |||||||
\(444\) | 1.73239 | − | 1.35441i | 0.0822155 | − | 0.0642773i | ||||
\(445\) | 11.9263 | + | 4.34081i | 0.565360 | + | 0.205774i | ||||
\(446\) | 25.9549 | + | 9.44680i | 1.22900 | + | 0.447319i | ||||
\(447\) | −1.43632 | − | 1.83716i | −0.0679355 | − | 0.0868945i | ||||
\(448\) | −19.3493 | + | 6.72982i | −0.914166 | + | 0.317954i | ||||
\(449\) | −18.7877 | + | 10.8471i | −0.886646 | + | 0.511905i | −0.872844 | − | 0.488000i | \(-0.837727\pi\) |
−0.0138018 | + | 0.999905i | \(0.504393\pi\) | |||||||
\(450\) | −5.28492 | + | 11.8912i | −0.249134 | + | 0.560555i | ||||
\(451\) | −1.40222 | − | 0.809573i | −0.0660280 | − | 0.0381213i | ||||
\(452\) | 25.4883 | − | 30.3758i | 1.19887 | − | 1.42876i | ||||
\(453\) | 4.28955 | + | 3.85977i | 0.201540 | + | 0.181348i | ||||
\(454\) | −35.7717 | + | 6.30752i | −1.67885 | + | 0.296026i | ||||
\(455\) | 4.05432 | − | 10.6608i | 0.190069 | − | 0.499785i | ||||
\(456\) | −0.725730 | − | 0.0251041i | −0.0339854 | − | 0.00117561i | ||||
\(457\) | 0.112432 | − | 0.0409217i | 0.00525933 | − | 0.00191424i | −0.339389 | − | 0.940646i | \(-0.610220\pi\) |
0.344648 | + | 0.938732i | \(0.387998\pi\) | |||||||
\(458\) | 16.3153 | 0.762364 | ||||||||
\(459\) | −3.95782 | − | 8.86585i | −0.184735 | − | 0.413823i | ||||
\(460\) | − | 23.7771i | − | 1.10861i | ||||||
\(461\) | −32.1671 | + | 11.7079i | −1.49817 | + | 0.545289i | −0.955586 | − | 0.294712i | \(-0.904776\pi\) |
−0.542584 | + | 0.840001i | \(0.682554\pi\) | |||||||
\(462\) | 15.7620 | − | 24.4550i | 0.733316 | − | 1.13775i | ||||
\(463\) | 11.1529 | − | 9.35842i | 0.518321 | − | 0.434923i | −0.345725 | − | 0.938336i | \(-0.612367\pi\) |
0.864046 | + | 0.503413i | \(0.167923\pi\) | |||||||
\(464\) | 38.0673 | − | 6.71230i | 1.76723 | − | 0.311611i | ||||
\(465\) | 1.32029 | + | 4.05888i | 0.0612268 | + | 0.188226i | ||||
\(466\) | −13.8487 | − | 11.6204i | −0.641528 | − | 0.538306i | ||||
\(467\) | −9.08585 | + | 15.7372i | −0.420443 | + | 0.728229i | −0.995983 | − | 0.0895452i | \(-0.971459\pi\) |
0.575540 | + | 0.817774i | \(0.304792\pi\) | |||||||
\(468\) | 10.5173 | − | 10.9053i | 0.486162 | − | 0.504099i | ||||
\(469\) | 12.0401 | − | 20.1800i | 0.555962 | − | 0.931824i | ||||
\(470\) | 37.9985 | + | 6.70016i | 1.75274 | + | 0.309056i | ||||
\(471\) | 11.3388 | − | 28.0910i | 0.522462 | − | 1.29436i | ||||
\(472\) | −0.0121771 | + | 0.0334564i | −0.000560498 | + | 0.00153996i | ||||
\(473\) | 1.24154 | − | 3.41109i | 0.0570859 | − | 0.156842i | ||||
\(474\) | −2.96280 | + | 0.417388i | −0.136086 | + | 0.0191713i | ||||
\(475\) | 14.1621 | + | 2.49715i | 0.649799 | + | 0.114577i | ||||
\(476\) | −4.98526 | + | 8.35558i | −0.228499 | + | 0.382977i | ||||
\(477\) | 3.34079 | − | 1.63213i | 0.152964 | − | 0.0747303i | ||||
\(478\) | 18.8130 | − | 32.5850i | 0.860485 | − | 1.49040i | ||||
\(479\) | −6.32713 | − | 5.30910i | −0.289094 | − | 0.242579i | 0.486694 | − | 0.873573i | \(-0.338203\pi\) |
−0.775788 | + | 0.630994i | \(0.782647\pi\) | |||||||
\(480\) | 22.6755 | + | 4.81203i | 1.03499 | + | 0.219638i | ||||
\(481\) | −1.63010 | + | 0.287431i | −0.0743262 | + | 0.0131057i | ||||
\(482\) | 16.5238 | − | 13.8651i | 0.752639 | − | 0.631539i | ||||
\(483\) | 1.61152 | − | 32.9136i | 0.0733268 | − | 1.49762i | ||||
\(484\) | 1.55691 | − | 0.566669i | 0.0707686 | − | 0.0257577i | ||||
\(485\) | 16.1374i | 0.732761i | ||||||||
\(486\) | 23.7547 | − | 19.9992i | 1.07754 | − | 0.907184i | ||||
\(487\) | 11.6289 | 0.526957 | 0.263478 | − | 0.964665i | \(-0.415130\pi\) | ||||
0.263478 | + | 0.964665i | \(0.415130\pi\) | |||||||
\(488\) | 0.425323 | − | 0.154805i | 0.0192535 | − | 0.00700769i | ||||
\(489\) | −18.5151 | + | 29.6521i | −0.837282 | + | 1.34091i | ||||
\(490\) | −23.1779 | + | 3.40449i | −1.04707 | + | 0.153799i | ||||
\(491\) | −23.9209 | + | 4.21791i | −1.07954 | + | 0.190351i | −0.685010 | − | 0.728533i | \(-0.740202\pi\) |
−0.394526 | + | 0.918885i | \(0.629091\pi\) | |||||||
\(492\) | −0.359500 | + | 1.69406i | −0.0162075 | + | 0.0763739i | ||||
\(493\) | 11.4275 | − | 13.6188i | 0.514669 | − | 0.613358i | ||||
\(494\) | −29.2347 | − | 16.8787i | −1.31533 | − | 0.759406i | ||||
\(495\) | −14.4334 | + | 7.05140i | −0.648733 | + | 0.316937i | ||||
\(496\) | −5.16077 | + | 2.97957i | −0.231725 | + | 0.133787i | ||||
\(497\) | 5.33682 | + | 15.3442i | 0.239389 | + | 0.688280i | ||||
\(498\) | −27.8979 | + | 3.93015i | −1.25013 | + | 0.176114i | ||||
\(499\) | −15.5923 | − | 5.67512i | −0.698006 | − | 0.254053i | −0.0314466 | − | 0.999505i | \(-0.510011\pi\) |
−0.666559 | + | 0.745452i | \(0.732234\pi\) | |||||||
\(500\) | −22.3013 | − | 8.11702i | −0.997345 | − | 0.363004i | ||||
\(501\) | −2.02500 | − | 0.817378i | −0.0904703 | − | 0.0365178i | ||||
\(502\) | −25.0897 | − | 4.42399i | −1.11981 | − | 0.197452i | ||||
\(503\) | 2.75453 | + | 4.77099i | 0.122819 | + | 0.212728i | 0.920878 | − | 0.389851i | \(-0.127473\pi\) |
−0.798060 | + | 0.602579i | \(0.794140\pi\) | |||||||
\(504\) | 0.487194 | + | 0.128579i | 0.0217013 | + | 0.00572736i | ||||
\(505\) | 0.635464 | − | 1.10066i | 0.0282778 | − | 0.0489786i | ||||
\(506\) | −29.3463 | + | 34.9736i | −1.30460 | + | 1.55477i | ||||
\(507\) | 10.5674 | − | 3.43740i | 0.469314 | − | 0.152660i | ||||
\(508\) | −4.64167 | − | 26.3242i | −0.205941 | − | 1.16795i | ||||
\(509\) | −28.4889 | + | 23.9050i | −1.26275 | + | 1.05957i | −0.267366 | + | 0.963595i | \(0.586153\pi\) |
−0.995384 | + | 0.0959772i | \(0.969402\pi\) | |||||||
\(510\) | 9.56161 | − | 5.08803i | 0.423395 | − | 0.225302i | ||||
\(511\) | −11.4846 | + | 13.2947i | −0.508049 | + | 0.588125i | ||||
\(512\) | 31.8480i | 1.40750i | ||||||||
\(513\) | −27.7825 | − | 20.1433i | −1.22663 | − | 0.889350i | ||||
\(514\) | 33.0588i | 1.45816i | ||||||||
\(515\) | −10.3008 | − | 28.3013i | −0.453908 | − | 1.24710i | ||||
\(516\) | −3.88021 | − | 0.134222i | −0.170817 | − | 0.00590880i | ||||
\(517\) | −23.6199 | − | 28.1491i | −1.03880 | − | 1.23800i | ||||
\(518\) | 2.14776 | + | 2.63547i | 0.0943670 | + | 0.115796i | ||||
\(519\) | 23.3249 | + | 20.9879i | 1.02385 | + | 0.921268i | ||||
\(520\) | −0.209642 | − | 0.175911i | −0.00919343 | − | 0.00771420i | ||||
\(521\) | 4.68325 | − | 8.11162i | 0.205177 | − | 0.355376i | −0.745012 | − | 0.667051i | \(-0.767556\pi\) |
0.950189 | + | 0.311674i | \(0.100890\pi\) | |||||||
\(522\) | 51.9584 | + | 23.0924i | 2.27416 | + | 1.01073i | ||||
\(523\) | −8.64692 | + | 4.99230i | −0.378104 | + | 0.218298i | −0.676993 | − | 0.735990i | \(-0.736717\pi\) |
0.298889 | + | 0.954288i | \(0.403384\pi\) | |||||||
\(524\) | −1.23011 | + | 6.97630i | −0.0537376 | + | 0.304761i | ||||
\(525\) | −9.19855 | − | 3.86730i | −0.401458 | − | 0.168783i | ||||
\(526\) | −31.2267 | − | 11.3656i | −1.36155 | − | 0.495563i | ||||
\(527\) | −0.937384 | + | 2.57544i | −0.0408331 | + | 0.112188i | ||||
\(528\) | −13.8137 | − | 17.6688i | −0.601164 | − | 0.768934i | ||||
\(529\) | −4.98537 | + | 28.2734i | −0.216755 | + | 1.22928i | ||||
\(530\) | 2.07391 | + | 3.59211i | 0.0900847 | + | 0.156031i | ||||
\(531\) | −1.36054 | + | 0.989860i | −0.0590425 | + | 0.0429562i | ||||
\(532\) | −0.493314 | + | 34.3859i | −0.0213879 | + | 1.49082i | ||||
\(533\) | 0.837913 | − | 0.998586i | 0.0362940 | − | 0.0432535i | ||||
\(534\) | −17.4344 | + | 19.3756i | −0.754458 | + | 0.838465i | ||||
\(535\) | 9.63391 | − | 1.69872i | 0.416510 | − | 0.0734420i | ||||
\(536\) | −0.362425 | − | 0.431921i | −0.0156544 | − | 0.0186562i | ||||
\(537\) | 0.349107 | − | 10.0923i | 0.0150651 | − | 0.435514i | ||||
\(538\) | 18.6220 | + | 51.1635i | 0.802851 | + | 2.20582i | ||||
\(539\) | 18.9933 | + | 11.7048i | 0.818101 | + | 0.504163i | ||||
\(540\) | 11.9473 | + | 12.3474i | 0.514130 | + | 0.531347i | ||||
\(541\) | −6.07091 | −0.261009 | −0.130504 | − | 0.991448i | \(-0.541660\pi\) | ||||
−0.130504 | + | 0.991448i | \(0.541660\pi\) | |||||||
\(542\) | 34.0400 | − | 12.3895i | 1.46214 | − | 0.532176i | ||||
\(543\) | −38.1476 | + | 20.2995i | −1.63707 | + | 0.871136i | ||||
\(544\) | 9.56775 | + | 11.4024i | 0.410214 | + | 0.488874i | ||||
\(545\) | −2.75529 | − | 15.6260i | −0.118024 | − | 0.669345i | ||||
\(546\) | 17.1858 | + | 15.9160i | 0.735486 | + | 0.681141i | ||||
\(547\) | −23.6417 | − | 19.8377i | −1.01084 | − | 0.848199i | −0.0223949 | − | 0.999749i | \(-0.507129\pi\) |
−0.988450 | + | 0.151550i | \(0.951574\pi\) | |||||||
\(548\) | −3.70407 | − | 2.13855i | −0.158230 | − | 0.0913542i | ||||
\(549\) | 20.7576 | + | 5.16094i | 0.885911 | + | 0.220264i | ||||
\(550\) | 6.91232 | + | 11.9725i | 0.294742 | + | 0.510509i | ||||
\(551\) | 10.9113 | − | 61.8810i | 0.464836 | − | 2.63622i | ||||
\(552\) | −0.733200 | − | 0.295952i | −0.0312071 | − | 0.0125965i | ||||
\(553\) | −0.365961 | − | 2.26500i | −0.0155622 | − | 0.0963177i | ||||
\(554\) | 2.08038 | − | 5.71580i | 0.0883869 | − | 0.242841i | ||||
\(555\) | −0.261854 | − | 1.85875i | −0.0111151 | − | 0.0788997i | ||||
\(556\) | −40.2655 | − | 7.09990i | −1.70764 | − | 0.301103i | ||||
\(557\) | 0.0926294 | − | 0.0534796i | 0.00392483 | − | 0.00226600i | −0.498036 | − | 0.867156i | \(-0.665945\pi\) |
0.501961 | + | 0.864890i | \(0.332612\pi\) | |||||||
\(558\) | −8.74463 | − | 0.605704i | −0.370190 | − | 0.0256415i | ||||
\(559\) | 2.53095 | + | 1.46124i | 0.107048 | + | 0.0618041i | ||||
\(560\) | −3.39064 | + | 17.7375i | −0.143281 | + | 0.749545i | ||||
\(561\) | −10.0903 | − | 2.14128i | −0.426011 | − | 0.0904051i | ||||
\(562\) | 0.460870 | + | 2.61372i | 0.0194406 | + | 0.110253i | ||||
\(563\) | 16.8629 | − | 14.1497i | 0.710687 | − | 0.596337i | −0.214105 | − | 0.976811i | \(-0.568683\pi\) |
0.924792 | + | 0.380474i | \(0.124239\pi\) | |||||||
\(564\) | −20.8161 | + | 33.3371i | −0.876515 | + | 1.40374i | ||||
\(565\) | −11.5768 | − | 31.8071i | −0.487041 | − | 1.33813i | ||||
\(566\) | −4.74689 | −0.199527 | ||||||||
\(567\) | 15.7013 | + | 17.9017i | 0.659391 | + | 0.751800i | ||||
\(568\) | 0.389802 | 0.0163557 | ||||||||
\(569\) | 3.90300 | + | 10.7234i | 0.163622 | + | 0.449549i | 0.994225 | − | 0.107317i | \(-0.0342260\pi\) |
−0.830603 | + | 0.556866i | \(0.812004\pi\) | |||||||
\(570\) | 20.2757 | − | 32.4716i | 0.849254 | − | 1.36009i | ||||
\(571\) | −4.28570 | + | 3.59613i | −0.179351 | + | 0.150493i | −0.728044 | − | 0.685531i | \(-0.759570\pi\) |
0.548693 | + | 0.836024i | \(0.315126\pi\) | |||||||
\(572\) | −2.79502 | − | 15.8514i | −0.116866 | − | 0.662779i | ||||
\(573\) | 8.62254 | + | 1.82981i | 0.360212 | + | 0.0764416i | ||||
\(574\) | −2.62983 | − | 0.502709i | −0.109767 | − | 0.0209827i | ||||
\(575\) | 13.5603 | + | 7.82905i | 0.565504 | + | 0.326494i | ||||
\(576\) | −12.9769 | + | 19.2664i | −0.540705 | + | 0.802766i | ||||
\(577\) | −1.56687 | + | 0.904634i | −0.0652297 | + | 0.0376604i | −0.532260 | − | 0.846581i | \(-0.678657\pi\) |
0.467030 | + | 0.884241i | \(0.345324\pi\) | |||||||
\(578\) | −26.5006 | − | 4.67276i | −1.10228 | − | 0.194361i | ||||
\(579\) | 0.620619 | + | 4.40542i | 0.0257921 | + | 0.183083i | ||||
\(580\) | −10.7599 | + | 29.5626i | −0.446781 | + | 1.22752i | ||||
\(581\) | −3.44591 | − | 21.3274i | −0.142960 | − | 0.884810i | ||||
\(582\) | −30.7320 | − | 12.4048i | −1.27388 | − | 0.514195i | ||||
\(583\) | 0.685939 | − | 3.89015i | 0.0284087 | − | 0.161114i | ||||
\(584\) | 0.210768 | + | 0.365061i | 0.00872164 | + | 0.0151063i | ||||
\(585\) | −3.57295 | − | 12.4295i | −0.147723 | − | 0.513896i | ||||
\(586\) | −43.7376 | − | 25.2519i | −1.80678 | − | 1.04315i | ||||
\(587\) | 24.7393 | + | 20.7587i | 1.02110 | + | 0.856804i | 0.989765 | − | 0.142705i | \(-0.0455800\pi\) |
0.0313339 | + | 0.999509i | \(0.490024\pi\) | |||||||
\(588\) | 5.62117 | − | 23.1908i | 0.231813 | − | 0.956372i | ||||
\(589\) | 1.68212 | + | 9.53980i | 0.0693107 | + | 0.393081i | ||||
\(590\) | −1.20648 | − | 1.43783i | −0.0496700 | − | 0.0591944i | ||||
\(591\) | −3.79979 | + | 2.02199i | −0.156302 | + | 0.0831734i | ||||
\(592\) | 2.46271 | − | 0.896352i | 0.101217 | − | 0.0368398i | ||||
\(593\) | −6.02328 | −0.247347 | −0.123673 | − | 0.992323i | \(-0.539467\pi\) | ||||
−0.123673 | + | 0.992323i | \(0.539467\pi\) | |||||||
\(594\) | −2.33374 | − | 32.9074i | −0.0957544 | − | 1.35021i | ||||
\(595\) | 4.04916 | + | 7.25163i | 0.165999 | + | 0.297288i | ||||
\(596\) | 0.906298 | + | 2.49003i | 0.0371234 | + | 0.101996i | ||||
\(597\) | −1.17179 | + | 33.8750i | −0.0479581 | + | 1.38641i | ||||
\(598\) | −23.6265 | − | 28.1570i | −0.966159 | − | 1.15142i | ||||
\(599\) | −8.19802 | + | 1.44553i | −0.334962 | + | 0.0590629i | −0.338600 | − | 0.940931i | \(-0.609953\pi\) |
0.00363751 | + | 0.999993i | \(0.498842\pi\) | |||||||
\(600\) | −0.160147 | + | 0.177979i | −0.00653798 | + | 0.00726596i | ||||
\(601\) | −13.5043 | + | 16.0938i | −0.550851 | + | 0.656479i | −0.967584 | − | 0.252550i | \(-0.918731\pi\) |
0.416733 | + | 0.909029i | \(0.363175\pi\) | |||||||
\(602\) | 0.0861074 | − | 6.00202i | 0.00350947 | − | 0.244624i | ||||
\(603\) | −2.80261 | − | 26.4974i | −0.114131 | − | 1.07906i | ||||
\(604\) | −3.27848 | − | 5.67850i | −0.133400 | − | 0.231055i | ||||
\(605\) | 0.245591 | − | 1.39282i | 0.00998470 | − | 0.0566260i | ||||
\(606\) | 1.60761 | + | 2.05625i | 0.0653047 | + | 0.0835295i | ||||
\(607\) | −13.9808 | + | 38.4119i | −0.567463 | + | 1.55909i | 0.240989 | + | 0.970528i | \(0.422528\pi\) |
−0.808452 | + | 0.588563i | \(0.799694\pi\) | |||||||
\(608\) | 49.4368 | + | 17.9935i | 2.00493 | + | 0.729733i | ||||
\(609\) | −16.8981 | + | 40.1930i | −0.684747 | + | 1.62870i | ||||
\(610\) | −4.14345 | + | 23.4987i | −0.167763 | + | 0.951433i | ||||
\(611\) | 25.6205 | − | 14.7920i | 1.03649 | − | 0.598420i | ||||
\(612\) | 1.16043 | + | 10.9713i | 0.0469076 | + | 0.443490i | ||||
\(613\) | 7.05243 | − | 12.2152i | 0.284845 | − | 0.493366i | −0.687727 | − | 0.725970i | \(-0.741391\pi\) |
0.972572 | + | 0.232604i | \(0.0747245\pi\) | |||||||
\(614\) | −16.1668 | − | 13.5656i | −0.652439 | − | 0.547461i | ||||
\(615\) | 1.09890 | + | 0.988803i | 0.0443121 | + | 0.0398724i | ||||
\(616\) | 0.414969 | − | 0.338176i | 0.0167196 | − | 0.0136255i | ||||
\(617\) | 19.9970 | + | 23.8315i | 0.805051 | + | 0.959422i | 0.999770 | − | 0.0214370i | \(-0.00682414\pi\) |
−0.194720 | + | 0.980859i | \(0.562380\pi\) | |||||||
\(618\) | 61.8152 | + | 2.13828i | 2.48657 | + | 0.0860141i | ||||
\(619\) | −15.2211 | − | 41.8197i | −0.611789 | − | 1.68088i | −0.726235 | − | 0.687446i | \(-0.758732\pi\) |
0.114446 | − | 0.993429i | \(-0.463491\pi\) | |||||||
\(620\) | − | 4.84998i | − | 0.194780i | ||||||
\(621\) | −20.9249 | − | 30.9565i | −0.839688 | − | 1.24224i | ||||
\(622\) | − | 12.3519i | − | 0.495267i | ||||||
\(623\) | −15.1251 | − | 13.0658i | −0.605975 | − | 0.523468i | ||||
\(624\) | 15.9401 | − | 8.48220i | 0.638113 | − | 0.339560i | ||||
\(625\) | −7.17877 | + | 6.02371i | −0.287151 | + | 0.240948i | ||||
\(626\) | −5.08013 | − | 28.8108i | −0.203043 | − | 1.15151i | ||||
\(627\) | −34.6697 | + | 11.2775i | −1.38457 | + | 0.450379i | ||||
\(628\) | −22.1261 | + | 26.3688i | −0.882927 | + | 1.05223i | ||||
\(629\) | 0.602670 | − | 1.04385i | 0.0240300 | − | 0.0416212i | ||||
\(630\) | −18.7122 | + | 18.8537i | −0.745513 | + | 0.751149i | ||||
\(631\) | 4.05881 | + | 7.03007i | 0.161579 | + | 0.279862i | 0.935435 | − | 0.353499i | \(-0.115008\pi\) |
−0.773856 | + | 0.633361i | \(0.781675\pi\) | |||||||
\(632\) | −0.0542151 | − | 0.00955958i | −0.00215656 | − | 0.000380260i | ||||
\(633\) | −45.6159 | − | 18.4126i | −1.81307 | − | 0.731834i | ||||
\(634\) | −20.9341 | − | 7.61940i | −0.831400 | − | 0.302605i | ||||
\(635\) | −21.4415 | − | 7.80406i | −0.850879 | − | 0.309695i | ||||
\(636\) | −4.18364 | + | 0.589376i | −0.165892 | + | 0.0233703i | ||||
\(637\) | −11.9356 | + | 13.4227i | −0.472907 | + | 0.531827i | ||||
\(638\) | 52.3137 | − | 30.2033i | 2.07112 | − | 1.19576i | ||||
\(639\) | 15.2784 | + | 10.2908i | 0.604406 | + | 0.407099i | ||||
\(640\) | 0.738818 | + | 0.426557i | 0.0292043 | + | 0.0168611i | ||||
\(641\) | −12.1403 | + | 14.4683i | −0.479514 | + | 0.571462i | −0.950518 | − | 0.310669i | \(-0.899447\pi\) |
0.471005 | + | 0.882131i | \(0.343892\pi\) | |||||||
\(642\) | −4.17054 | + | 19.6526i | −0.164598 | + | 0.775627i | ||||
\(643\) | 25.9951 | − | 4.58364i | 1.02515 | − | 0.180761i | 0.364300 | − | 0.931282i | \(-0.381308\pi\) |
0.660847 | + | 0.750521i | \(0.270197\pi\) | |||||||
\(644\) | −13.3102 | + | 34.9990i | −0.524496 | + | 1.37916i | ||||
\(645\) | −1.75534 | + | 2.81118i | −0.0691163 | + | 0.110690i | ||||
\(646\) | 23.0993 | − | 8.40748i | 0.908832 | − | 0.330788i | ||||
\(647\) | 25.0360 | 0.984267 | 0.492133 | − | 0.870520i | \(-0.336217\pi\) | ||||
0.492133 | + | 0.870520i | \(0.336217\pi\) | |||||||
\(648\) | 0.529456 | − | 0.214725i | 0.0207990 | − | 0.00843519i | ||||
\(649\) | 1.78751i | 0.0701659i | ||||||||
\(650\) | −10.4589 | + | 3.80672i | −0.410231 | + | 0.149312i | ||||
\(651\) | 0.328713 | − | 6.71361i | 0.0128833 | − | 0.263127i | ||||
\(652\) | 30.4294 | − | 25.5333i | 1.19171 | − | 0.999960i | ||||
\(653\) | −24.9911 | + | 4.40660i | −0.977977 | + | 0.172444i | −0.639718 | − | 0.768609i | \(-0.720949\pi\) |
−0.338259 | + | 0.941053i | \(0.609838\pi\) | |||||||
\(654\) | 31.8762 | + | 6.76454i | 1.24646 | + | 0.264514i | ||||
\(655\) | 4.63226 | + | 3.88693i | 0.180997 | + | 0.151875i | ||||
\(656\) | −1.03197 | + | 1.78742i | −0.0402915 | + | 0.0697869i | ||||
\(657\) | −1.37652 | + | 19.8730i | −0.0537031 | + | 0.775319i | ||||
\(658\) | −52.1818 | − | 31.1337i | −2.03426 | − | 1.21372i | ||||
\(659\) | −28.7214 | − | 5.06437i | −1.11883 | − | 0.197280i | −0.416502 | − | 0.909135i | \(-0.636744\pi\) |
−0.702326 | + | 0.711855i | \(0.747855\pi\) | |||||||
\(660\) | 18.0748 | − | 2.54631i | 0.703562 | − | 0.0991151i | ||||
\(661\) | 1.91283 | − | 5.25546i | 0.0744005 | − | 0.204414i | −0.896917 | − | 0.442198i | \(-0.854199\pi\) |
0.971318 | + | 0.237784i | \(0.0764211\pi\) | |||||||
\(662\) | −18.8903 | + | 51.9007i | −0.734193 | + | 2.01718i | ||||
\(663\) | 3.10839 | − | 7.70082i | 0.120720 | − | 0.299075i | ||||
\(664\) | −0.510493 | − | 0.0900136i | −0.0198110 | − | 0.00349321i | ||||
\(665\) | 25.2094 | + | 15.0409i | 0.977580 | + | 0.583262i | ||||
\(666\) | 3.74110 | + | 0.930148i | 0.144965 | + | 0.0360425i | ||||
\(667\) | 34.2089 | − | 59.2516i | 1.32458 | − | 2.29423i | ||||
\(668\) | 1.90085 | + | 1.59501i | 0.0735463 | + | 0.0617126i | ||||
\(669\) | 7.42886 | + | 22.8381i | 0.287216 | + | 0.882973i | ||||
\(670\) | 29.2726 | − | 5.16155i | 1.13090 | − | 0.199408i | ||||
\(671\) | 17.4077 | − | 14.6068i | 0.672017 | − | 0.563889i | ||||
\(672\) | −30.6838 | − | 19.7767i | −1.18365 | − | 0.762903i | ||||
\(673\) | 21.3185 | − | 7.75929i | 0.821767 | − | 0.299099i | 0.103292 | − | 0.994651i | \(-0.467063\pi\) |
0.718475 | + | 0.695552i | \(0.244840\pi\) | |||||||
\(674\) | − | 40.9816i | − | 1.57855i | ||||||
\(675\) | −10.9757 | + | 2.74805i | −0.422455 | + | 0.105773i | ||||
\(676\) | −12.6270 | −0.485655 | ||||||||
\(677\) | −7.76681 | + | 2.82689i | −0.298503 | + | 0.108646i | −0.486930 | − | 0.873441i | \(-0.661883\pi\) |
0.188427 | + | 0.982087i | \(0.439661\pi\) | |||||||
\(678\) | 69.4726 | + | 2.40316i | 2.66808 | + | 0.0922927i | ||||
\(679\) | 9.03358 | − | 23.7537i | 0.346677 | − | 0.911582i | ||||
\(680\) | 0.196256 | − | 0.0346052i | 0.00752607 | − | 0.00132705i | ||||
\(681\) | −23.4778 | − | 21.1256i | −0.899672 | − | 0.809533i | ||||
\(682\) | −5.98597 | + | 7.13381i | −0.229215 | + | 0.273168i | ||||
\(683\) | 23.0002 | + | 13.2792i | 0.880080 | + | 0.508114i | 0.870685 | − | 0.491842i | \(-0.163676\pi\) |
0.00939496 | + | 0.999956i | \(0.497009\pi\) | |||||||
\(684\) | 22.9408 | + | 31.5317i | 0.877163 | + | 1.20564i | ||||
\(685\) | −3.16187 | + | 1.82551i | −0.120809 | + | 0.0697491i | ||||
\(686\) | 36.0229 | + | 7.96353i | 1.37536 | + | 0.304049i | ||||
\(687\) | 8.73750 | + | 11.1759i | 0.333357 | + | 0.426388i | ||||
\(688\) | −4.34813 | − | 1.58259i | −0.165771 | − | 0.0603357i | ||||
\(689\) | 2.98845 | + | 1.08771i | 0.113851 | + | 0.0414384i | ||||
\(690\) | 32.8381 | − | 25.6734i | 1.25013 | − | 0.977368i | ||||
\(691\) | 37.5870 | + | 6.62760i | 1.42988 | + | 0.252126i | 0.834361 | − | 0.551218i | \(-0.185837\pi\) |
0.595515 | + | 0.803344i | \(0.296948\pi\) | |||||||
\(692\) | −17.8271 | − | 30.8774i | −0.677685 | − | 1.17378i | ||||
\(693\) | 25.1928 | − | 2.29971i | 0.956995 | − | 0.0873587i | ||||
\(694\) | −18.4031 | + | 31.8751i | −0.698573 | + | 1.20996i | ||||
\(695\) | −22.4344 | + | 26.7363i | −0.850985 | + | 1.01416i | ||||
\(696\) | 0.777678 | + | 0.699761i | 0.0294778 | + | 0.0265244i | ||||
\(697\) | 0.164834 | + | 0.934822i | 0.00624355 | + | 0.0354089i | ||||
\(698\) | −10.4046 | + | 8.73049i | −0.393820 | + | 0.330454i | ||||
\(699\) | 0.543415 | − | 15.7095i | 0.0205539 | − | 0.594188i | ||||
\(700\) | 8.58037 | + | 7.41211i | 0.324307 | + | 0.280151i | ||||
\(701\) | − | 12.5706i | − | 0.474787i | −0.971414 | − | 0.237393i | \(-0.923707\pi\) | ||
0.971414 | − | 0.237393i | \(-0.0762930\pi\) | |||||||
\(702\) | 26.4172 | + | 2.75021i | 0.997054 | + | 0.103800i | ||||
\(703\) | − | 4.26021i | − | 0.160677i | ||||||
\(704\) | 8.44057 | + | 23.1903i | 0.318116 | + | 0.874016i | ||||
\(705\) | 15.7602 | + | 29.6170i | 0.593562 | + | 1.11544i | ||||
\(706\) | −2.28383 | − | 2.72177i | −0.0859532 | − | 0.102435i | ||||
\(707\) | −1.55152 | + | 1.26440i | −0.0583509 | + | 0.0475527i | ||||
\(708\) | 1.81809 | − | 0.591394i | 0.0683280 | − | 0.0222260i | ||||
\(709\) | 14.2522 | + | 11.9590i | 0.535254 | + | 0.449131i | 0.869911 | − | 0.493209i | \(-0.164176\pi\) |
−0.334657 | + | 0.942340i | \(0.608620\pi\) | |||||||
\(710\) | −10.2748 | + | 17.7965i | −0.385606 | + | 0.667889i | ||||
\(711\) | −1.87261 | − | 1.80598i | −0.0702283 | − | 0.0677294i | ||||
\(712\) | −0.415321 | + | 0.239786i | −0.0155648 | + | 0.00898634i | ||||
\(713\) | −1.83156 | + | 10.3873i | −0.0685926 | + | 0.389008i | ||||
\(714\) | −16.9226 | + | 2.13689i | −0.633312 | + | 0.0799713i | ||||
\(715\) | −12.9112 | − | 4.69928i | −0.482851 | − | 0.175743i | ||||
\(716\) | −3.92459 | + | 10.7827i | −0.146669 | + | 0.402969i | ||||
\(717\) | 32.3957 | − | 4.56379i | 1.20984 | − | 0.170438i | ||||
\(718\) | 8.35709 | − | 47.3954i | 0.311884 | − | 1.76878i | ||||
\(719\) | −5.19387 | − | 8.99605i | −0.193699 | − | 0.335496i | 0.752774 | − | 0.658278i | \(-0.228715\pi\) |
−0.946473 | + | 0.322783i | \(0.895382\pi\) | |||||||
\(720\) | 8.98844 | + | 18.3983i | 0.334979 | + | 0.685664i | ||||
\(721\) | −0.680375 | + | 47.4248i | −0.0253385 | + | 1.76619i | ||||
\(722\) | 31.5190 | − | 37.5629i | 1.17302 | − | 1.39795i | ||||
\(723\) | 18.3467 | + | 3.89341i | 0.682322 | + | 0.144798i | ||||
\(724\) | 48.3563 | − | 8.52652i | 1.79715 | − | 0.316886i | ||||
\(725\) | −13.3170 | − | 15.8705i | −0.494579 | − | 0.589417i | ||||
\(726\) | 2.46370 | + | 1.53836i | 0.0914363 | + | 0.0570939i | ||||
\(727\) | 1.63424 | + | 4.49002i | 0.0606104 | + | 0.166526i | 0.966302 | − | 0.257412i | \(-0.0828697\pi\) |
−0.905691 | + | 0.423938i | \(0.860648\pi\) | |||||||
\(728\) | 0.210113 | + | 0.376291i | 0.00778730 | + | 0.0139463i | ||||
\(729\) | 26.4210 | + | 5.56149i | 0.978556 | + | 0.205981i | ||||
\(730\) | −22.2225 | −0.822492 | ||||||||
\(731\) | −1.99979 | + | 0.727865i | −0.0739650 | + | 0.0269211i | ||||
\(732\) | −20.6160 | − | 12.8729i | −0.761989 | − | 0.475795i | ||||
\(733\) | −26.9708 | − | 32.1426i | −0.996189 | − | 1.18721i | −0.982301 | − | 0.187309i | \(-0.940023\pi\) |
−0.0138884 | − | 0.999904i | \(-0.504421\pi\) | |||||||
\(734\) | −4.45667 | − | 25.2750i | −0.164499 | − | 0.932918i | ||||
\(735\) | −14.7448 | − | 14.0536i | −0.543870 | − | 0.518373i | ||||
\(736\) | 43.8816 | + | 36.8210i | 1.61750 | + | 1.35724i | ||||
\(737\) | −24.5152 | − | 14.1539i | −0.903030 | − | 0.521365i | ||||
\(738\) | −2.72780 | + | 1.33266i | −0.100412 | + | 0.0490559i | ||||
\(739\) | 8.69080 | + | 15.0529i | 0.319696 | + | 0.553730i | 0.980425 | − | 0.196895i | \(-0.0630858\pi\) |
−0.660728 | + | 0.750625i | \(0.729752\pi\) | |||||||
\(740\) | −0.370385 | + | 2.10056i | −0.0136156 | + | 0.0772180i | ||||
\(741\) | −4.09455 | − | 29.0648i | −0.150417 | − | 1.06772i | ||||
\(742\) | −1.04188 | − | 6.44842i | −0.0382487 | − | 0.236729i | ||||
\(743\) | 2.40577 | − | 6.60980i | 0.0882591 | − | 0.242490i | −0.887708 | − | 0.460406i | \(-0.847704\pi\) |
0.975967 | + | 0.217916i | \(0.0699260\pi\) | |||||||
\(744\) | −0.149556 | − | 0.0603673i | −0.00548299 | − | 0.00221317i | ||||
\(745\) | 2.22759 | + | 0.392784i | 0.0816126 | + | 0.0143905i | ||||
\(746\) | 29.8257 | − | 17.2199i | 1.09200 | − | 0.630465i | ||||
\(747\) | −17.6326 | − | 17.0052i | −0.645143 | − | 0.622187i | ||||
\(748\) | 10.1506 | + | 5.86046i | 0.371143 | + | 0.214279i | ||||
\(749\) | −15.1317 | − | 2.89253i | −0.552901 | − | 0.105691i | ||||
\(750\) | −12.8696 | − | 39.5644i | −0.469932 | − | 1.44469i | ||||
\(751\) | −3.67514 | − | 20.8427i | −0.134108 | − | 0.760562i | −0.975477 | − | 0.220102i | \(-0.929361\pi\) |
0.841369 | − | 0.540461i | \(-0.181750\pi\) | |||||||
\(752\) | −35.8818 | + | 30.1084i | −1.30847 | + | 1.09794i | ||||
\(753\) | −10.4061 | − | 19.5556i | −0.379220 | − | 0.712644i | ||||
\(754\) | 16.6334 | + | 45.7000i | 0.605754 | + | 1.66430i | ||||
\(755\) | −5.59716 | −0.203701 | ||||||||
\(756\) | −10.6740 | − | 24.8629i | −0.388211 | − | 0.904255i | ||||
\(757\) | −13.1453 | −0.477773 | −0.238886 | − | 0.971048i | \(-0.576782\pi\) | ||||
−0.238886 | + | 0.971048i | \(0.576782\pi\) | |||||||
\(758\) | −15.3085 | − | 42.0596i | −0.556028 | − | 1.52768i | ||||
\(759\) | −39.6729 | − | 1.37235i | −1.44004 | − | 0.0498130i | ||||
\(760\) | 0.539569 | − | 0.452752i | 0.0195722 | − | 0.0164231i | ||||
\(761\) | 4.65271 | + | 26.3869i | 0.168661 | + | 0.956523i | 0.945209 | + | 0.326465i | \(0.105858\pi\) |
−0.776548 | + | 0.630058i | \(0.783031\pi\) | |||||||
\(762\) | 31.3441 | − | 34.8342i | 1.13548 | − | 1.26191i | ||||
\(763\) | −4.69163 | + | 24.5434i | −0.169849 | + | 0.888529i | ||||
\(764\) | −8.67410 | − | 5.00800i | −0.313818 | − | 0.181183i | ||||
\(765\) | 8.60591 | + | 3.82482i | 0.311147 | + | 0.138287i | ||||
\(766\) | 31.1581 | − | 17.9891i | 1.12579 | − | 0.649973i | ||||
\(767\) | −1.41725 | − | 0.249899i | −0.0511738 | − | 0.00902332i | ||||
\(768\) | −22.5114 | + | 17.5998i | −0.812311 | + | 0.635077i | ||||
\(769\) | 4.19859 | − | 11.5355i | 0.151405 | − | 0.415982i | −0.840683 | − | 0.541528i | \(-0.817846\pi\) |
0.992088 | + | 0.125546i | \(0.0400683\pi\) | |||||||
\(770\) | 4.50130 | + | 27.8595i | 0.162216 | + | 1.00399i | ||||
\(771\) | −22.6451 | + | 17.7043i | −0.815545 | + | 0.637606i | ||||
\(772\) | 0.877846 | − | 4.97851i | 0.0315944 | − | 0.179181i | ||||
\(773\) | 5.69422 | + | 9.86268i | 0.204807 | + | 0.354736i | 0.950071 | − | 0.312033i | \(-0.101010\pi\) |
−0.745264 | + | 0.666769i | \(0.767677\pi\) | |||||||
\(774\) | −4.00429 | − | 5.50382i | −0.143931 | − | 0.197831i | ||||
\(775\) | 2.76599 | + | 1.59694i | 0.0993572 | + | 0.0573639i | ||||
\(776\) | −0.467112 | − | 0.391954i | −0.0167683 | − | 0.0140703i | ||||
\(777\) | −0.655075 | + | 2.88261i | −0.0235007 | + | 0.103413i | ||||
\(778\) | 6.71418 | + | 38.0780i | 0.240715 | + | 1.36516i | ||||
\(779\) | 2.15659 | + | 2.57012i | 0.0772678 | + | 0.0920841i | ||||
\(780\) | −0.508038 | + | 14.6868i | −0.0181907 | + | 0.525872i | ||||
\(781\) | 18.3901 | − | 6.69346i | 0.658050 | − | 0.239511i | ||||
\(782\) | 26.7657 | 0.957138 | ||||||||
\(783\) | 12.0076 | + | 47.9582i | 0.429117 | + | 1.71389i | ||||
\(784\) | 14.9202 | − | 24.2109i | 0.532864 | − | 0.864675i | ||||
\(785\) | 10.0497 | + | 27.6113i | 0.358690 | + | 0.985491i | ||||
\(786\) | −10.9631 | + | 5.83380i | −0.391040 | + | 0.208085i | ||||
\(787\) | 22.4585 | + | 26.7650i | 0.800558 | + | 0.954068i | 0.999664 | − | 0.0259096i | \(-0.00824820\pi\) |
−0.199106 | + | 0.979978i | \(0.563804\pi\) | |||||||
\(788\) | 4.81665 | − | 0.849306i | 0.171586 | − | 0.0302553i | ||||
\(789\) | −8.93778 | − | 27.4769i | −0.318193 | − | 0.978203i | ||||
\(790\) | 1.86550 | − | 2.22322i | 0.0663715 | − | 0.0790985i | ||||
\(791\) | −0.764657 | + | 53.2996i | −0.0271881 | + | 1.89511i | ||||
\(792\) | 0.146457 | − | 0.589057i | 0.00520412 | − | 0.0209312i | ||||
\(793\) | 9.14752 | + | 15.8440i | 0.324838 | + | 0.562636i | ||||
\(794\) | 4.61995 | − | 26.2010i | 0.163956 | − | 0.929840i | ||||
\(795\) | −1.34992 | + | 3.34434i | −0.0478768 | + | 0.118611i | ||||
\(796\) | 13.1730 | − | 36.1925i | 0.466904 | − | 1.28281i | ||||
\(797\) | −21.0051 | − | 7.64522i | −0.744038 | − | 0.270808i | −0.0579433 | − | 0.998320i | \(-0.518454\pi\) |
−0.686095 | + | 0.727512i | \(0.740676\pi\) | |||||||
\(798\) | −48.0224 | + | 36.4469i | −1.69997 | + | 1.29021i | ||||
\(799\) | −3.74087 | + | 21.2155i | −0.132343 | + | 0.750552i | ||||
\(800\) | 15.0220 | − | 8.67293i | 0.531107 | − | 0.306634i | ||||
\(801\) | −22.6090 | − | 1.56603i | −0.798851 | − | 0.0553331i | ||||
\(802\) | 3.65495 | − | 6.33057i | 0.129061 | − | 0.223540i | ||||
\(803\) | 16.2122 | + | 13.6037i | 0.572118 | + | 0.480064i | ||||
\(804\) | −6.28520 | + | 29.6174i | −0.221662 | + | 1.04453i | ||||
\(805\) | 20.1923 | + | 24.7776i | 0.711687 | + | 0.873296i | ||||
\(806\) | −4.81926 | − | 5.74337i | −0.169751 | − | 0.202302i | ||||
\(807\) | −25.0740 | + | 40.1561i | −0.882646 | + | 1.41356i | ||||
\(808\) | 0.0164251 | + | 0.0451275i | 0.000577831 | + | 0.00158758i | ||||
\(809\) | 7.66333i | 0.269428i | 0.990884 | + | 0.134714i | \(0.0430116\pi\) | ||||
−0.990884 | + | 0.134714i | \(0.956988\pi\) | |||||||
\(810\) | −4.15265 | + | 29.8323i | −0.145909 | + | 1.04820i | ||||
\(811\) | 4.98733i | 0.175129i | 0.996159 | + | 0.0875644i | \(0.0279084\pi\) | ||||
−0.996159 | + | 0.0875644i | \(0.972092\pi\) | |||||||
\(812\) | 32.3871 | − | 37.4918i | 1.13657 | − | 1.31571i | ||||
\(813\) | 26.7166 | + | 16.6822i | 0.936991 | + | 0.585069i | ||||
\(814\) | 3.13736 | − | 2.63256i | 0.109964 | − | 0.0922712i | ||||
\(815\) | −5.88808 | − | 33.3930i | −0.206251 | − | 1.16970i | ||||
\(816\) | −2.72950 | + | 12.8621i | −0.0955517 | + | 0.450264i | ||||
\(817\) | −4.83491 | + | 5.76202i | −0.169152 | + | 0.201588i | ||||
\(818\) | −1.65544 | + | 2.86731i | −0.0578812 | + | 0.100253i | ||||
\(819\) | −1.69867 | + | 20.2959i | −0.0593564 | + | 0.709195i | ||||
\(820\) | −0.839888 | − | 1.45473i | −0.0293301 | − | 0.0508013i | ||||
\(821\) | −7.38627 | − | 1.30240i | −0.257782 | − | 0.0454540i | 0.0432633 | − | 0.999064i | \(-0.486225\pi\) |
−0.301046 | + | 0.953610i | \(0.597336\pi\) | |||||||
\(822\) | −1.04597 | − | 7.42474i | −0.0364824 | − | 0.258967i | ||||
\(823\) | −11.9501 | − | 4.34947i | −0.416553 | − | 0.151613i | 0.125237 | − | 0.992127i | \(-0.460031\pi\) |
−0.541790 | + | 0.840514i | \(0.682253\pi\) | |||||||
\(824\) | 1.06940 | + | 0.389229i | 0.0372543 | + | 0.0135595i | ||||
\(825\) | −4.49928 | + | 11.1467i | −0.156645 | + | 0.388077i | ||||
\(826\) | 0.971013 | + | 2.79181i | 0.0337859 | + | 0.0971395i | ||||
\(827\) | 10.6649 | − | 6.15737i | 0.370854 | − | 0.214113i | −0.302977 | − | 0.952998i | \(-0.597981\pi\) |
0.673832 | + | 0.738885i | \(0.264647\pi\) | |||||||
\(828\) | 11.7299 | + | 40.8057i | 0.407642 | + | 1.41810i | ||||
\(829\) | 10.1850 | + | 5.88032i | 0.353740 | + | 0.204232i | 0.666331 | − | 0.745656i | \(-0.267864\pi\) |
−0.312591 | + | 0.949888i | \(0.601197\pi\) | |||||||
\(830\) | 17.5657 | − | 20.9339i | 0.609713 | − | 0.726628i | ||||
\(831\) | 5.02943 | − | 1.63599i | 0.174469 | − | 0.0567518i | ||||
\(832\) | −19.5667 | + | 3.45013i | −0.678352 | + | 0.119612i | ||||
\(833\) | −1.90081 | − | 12.9408i | −0.0658593 | − | 0.448373i | ||||
\(834\) | −33.6713 | − | 63.2762i | −1.16594 | − | 2.19108i | ||||
\(835\) | 1.99042 | − | 0.724455i | 0.0688814 | − | 0.0250708i | ||||
\(836\) | 41.4270 | 1.43278 | ||||||||
\(837\) | −4.26820 | − | 6.31442i | −0.147531 | − | 0.218258i | ||||
\(838\) | − | 1.87266i | − | 0.0646899i | ||||||
\(839\) | −37.4037 | + | 13.6138i | −1.29132 | + | 0.470002i | −0.894160 | − | 0.447747i | \(-0.852226\pi\) |
−0.397160 | + | 0.917749i | \(0.630004\pi\) | |||||||
\(840\) | −0.434709 | + | 0.223380i | −0.0149989 | + | 0.00770736i | ||||
\(841\) | −47.1308 | + | 39.5475i | −1.62520 | + | 1.36371i | ||||
\(842\) | −70.7002 | + | 12.4664i | −2.43649 | + | 0.429619i | ||||
\(843\) | −1.54357 | + | 1.71545i | −0.0531635 | + | 0.0590831i | ||||
\(844\) | 42.8194 | + | 35.9297i | 1.47390 | + | 1.23675i | ||||
\(845\) | −5.38935 | + | 9.33462i | −0.185399 | + | 0.321121i | ||||
\(846\) | −68.5175 | + | 7.24706i | −2.35568 | + | 0.249159i | ||||
\(847\) | −1.14119 | + | 1.91270i | −0.0392117 | + | 0.0657211i | ||||
\(848\) | −4.95879 | − | 0.874368i | −0.170286 | − | 0.0300259i | ||||
\(849\) | −2.54215 | − | 3.25160i | −0.0872465 | − | 0.111595i | ||||
\(850\) | 2.77203 | − | 7.61608i | 0.0950797 | − | 0.261229i | ||||
\(851\) | 1.58653 | − | 4.35894i | 0.0543854 | − | 0.149423i | ||||
\(852\) | −12.8923 | − | 16.4902i | −0.441683 | − | 0.564946i | ||||
\(853\) | 20.0361 | + | 3.53291i | 0.686023 | + | 0.120964i | 0.505786 | − | 0.862659i | \(-0.331202\pi\) |
0.180237 | + | 0.983623i | \(0.442314\pi\) | |||||||
\(854\) | 19.2534 | − | 32.2698i | 0.658837 | − | 1.10425i | ||||
\(855\) | 33.1014 | − | 3.50111i | 1.13204 | − | 0.119735i | ||||
\(856\) | −0.184823 | + | 0.320122i | −0.00631711 | + | 0.0109416i | ||||
\(857\) | −3.25940 | − | 2.73496i | −0.111339 | − | 0.0934245i | 0.585419 | − | 0.810731i | \(-0.300930\pi\) |
−0.696758 | + | 0.717307i | \(0.745375\pi\) | |||||||
\(858\) | 18.8741 | − | 20.9757i | 0.644352 | − | 0.716099i | ||||
\(859\) | −16.4971 | + | 2.90888i | −0.562872 | + | 0.0992495i | −0.447842 | − | 0.894113i | \(-0.647807\pi\) |
−0.115030 | + | 0.993362i | \(0.536696\pi\) | |||||||
\(860\) | 2.88487 | − | 2.42070i | 0.0983734 | − | 0.0825450i | ||||
\(861\) | −1.06402 | − | 2.07064i | −0.0362618 | − | 0.0705673i | ||||
\(862\) | −46.8126 | + | 17.0384i | −1.59444 | + | 0.580329i | ||||
\(863\) | 21.7088i | 0.738977i | 0.929235 | + | 0.369488i | \(0.120467\pi\) | ||||
−0.929235 | + | 0.369488i | \(0.879533\pi\) | |||||||
\(864\) | −41.2891 | + | 2.92816i | −1.40468 | + | 0.0996179i | ||||
\(865\) | −30.4352 | −1.03483 | ||||||||
\(866\) | −53.3897 | + | 19.4323i | −1.81426 | + | 0.660335i | ||||
\(867\) | −10.9913 | − | 20.6552i | −0.373284 | − | 0.701488i | ||||
\(868\) | −2.71498 | + | 7.13900i | −0.0921523 | + | 0.242313i | ||||
\(869\) | −2.72192 | + | 0.479948i | −0.0923347 | + | 0.0162811i | ||||
\(870\) | −52.4465 | + | 17.0600i | −1.77810 | + | 0.578387i | ||||
\(871\) | 14.6494 | − | 17.4584i | 0.496374 | − | 0.591556i | ||||
\(872\) | 0.519232 | + | 0.299779i | 0.0175834 | + | 0.0101518i | ||||
\(873\) | −7.96102 | − | 27.6946i | −0.269440 | − | 0.937320i | ||||
\(874\) | 81.9277 | − | 47.3010i | 2.77125 | − | 1.59998i | ||||
\(875\) | 30.1330 | − | 10.4805i | 1.01868 | − | 0.354305i | ||||
\(876\) | 8.47262 | − | 20.9903i | 0.286263 | − | 0.709198i | ||||
\(877\) | 35.8799 | + | 13.0592i | 1.21158 | + | 0.440978i | 0.867251 | − | 0.497872i | \(-0.165885\pi\) |
0.344327 | + | 0.938850i | \(0.388107\pi\) | |||||||
\(878\) | −54.7396 | − | 19.9236i | −1.84737 | − | 0.672389i | ||||
\(879\) | −6.12579 | − | 43.4835i | −0.206618 | − | 1.46666i | ||||
\(880\) | 21.4237 | + | 3.77758i | 0.722194 | + | 0.127342i | ||||
\(881\) | −19.9609 | − | 34.5734i | −0.672501 | − | 1.16481i | −0.977193 | − | 0.212355i | \(-0.931887\pi\) |
0.304692 | − | 0.952451i | \(-0.401447\pi\) | |||||||
\(882\) | 38.0979 | − | 17.2770i | 1.28282 | − | 0.581748i | ||||
\(883\) | −15.2724 | + | 26.4525i | −0.513957 | + | 0.890199i | 0.485912 | + | 0.874008i | \(0.338487\pi\) |
−0.999869 | + | 0.0161915i | \(0.994846\pi\) | |||||||
\(884\) | −6.06561 | + | 7.22871i | −0.204008 | + | 0.243128i | ||||
\(885\) | 0.338787 | − | 1.59645i | 0.0113882 | − | 0.0536640i | ||||
\(886\) | 0.794032 | + | 4.50318i | 0.0266760 | + | 0.151287i | ||||
\(887\) | 3.33017 | − | 2.79434i | 0.111816 | − | 0.0938248i | −0.585165 | − | 0.810914i | \(-0.698970\pi\) |
0.696981 | + | 0.717089i | \(0.254526\pi\) | |||||||
\(888\) | 0.0601635 | + | 0.0375668i | 0.00201896 | + | 0.00126066i | ||||
\(889\) | 27.1925 | + | 23.4901i | 0.912006 | + | 0.787832i | ||||
\(890\) | − | 25.2820i | − | 0.847456i | ||||||
\(891\) | 21.2916 | − | 19.2218i | 0.713296 | − | 0.643956i | ||||
\(892\) | − | 27.2894i | − | 0.913717i | ||||||
\(893\) | 26.0421 | + | 71.5501i | 0.871466 | + | 2.39433i | ||||
\(894\) | −2.46037 | + | 3.94029i | −0.0822870 | + | 0.131783i | ||||
\(895\) | 6.29615 | + | 7.50346i | 0.210457 | + | 0.250813i | ||||
\(896\) | −0.848731 | − | 1.04146i | −0.0283541 | − | 0.0347928i | ||||
\(897\) | 6.63446 | − | 31.2633i | 0.221518 | − | 1.04385i | ||||
\(898\) | 33.1047 | + | 27.7781i | 1.10472 | + | 0.926968i | ||||
\(899\) | 6.97783 | − | 12.0860i | 0.232724 | − | 0.403089i | ||||
\(900\) | 12.8259 | + | 0.888400i | 0.427531 | + | 0.0296133i | ||||
\(901\) | −2.00557 | + | 1.15791i | −0.0668151 | + | 0.0385757i | ||||
\(902\) | −0.560079 | + | 3.17636i | −0.0186486 | + | 0.105761i | ||||
\(903\) | 4.15747 | − | 3.15534i | 0.138352 | − | 0.105003i | ||||
\(904\) | 1.20187 | + | 0.437446i | 0.0399737 | + | 0.0145492i | ||||
\(905\) | 14.3357 | − | 39.3869i | 0.476534 | − | 1.30927i | ||||
\(906\) | 4.30253 | − | 10.6592i | 0.142942 | − | 0.354129i | ||||
\(907\) | −1.87379 | + | 10.6268i | −0.0622180 | + | 0.352856i | 0.937766 | + | 0.347267i | \(0.112890\pi\) |
−0.999984 | + | 0.00558913i | \(0.998221\pi\) | |||||||
\(908\) | 17.9440 | + | 31.0799i | 0.595493 | + | 1.03142i | ||||
\(909\) | −0.547585 | + | 2.20241i | −0.0181622 | + | 0.0730494i | ||||
\(910\) | −22.7180 | − | 0.325921i | −0.753093 | − | 0.0108042i | ||||
\(911\) | −17.8805 | + | 21.3091i | −0.592407 | + | 0.706003i | −0.976067 | − | 0.217472i | \(-0.930219\pi\) |
0.383660 | + | 0.923474i | \(0.374663\pi\) | |||||||
\(912\) | 14.3754 | + | 44.1936i | 0.476018 | + | 1.46339i | ||||
\(913\) | −25.6297 | + | 4.51922i | −0.848221 | + | 0.149564i | ||||
\(914\) | −0.153201 | − | 0.182578i | −0.00506745 | − | 0.00603916i | ||||
\(915\) | −18.3155 | + | 9.74624i | −0.605491 | + | 0.322201i | ||||
\(916\) | −5.51325 | − | 15.1475i | −0.182163 | − | 0.500489i | ||||
\(917\) | −4.64265 | − | 8.31452i | −0.153314 | − | 0.274570i | ||||
\(918\) | −13.8993 | + | 13.4490i | −0.458747 | + | 0.443882i | ||||
\(919\) | −41.7928 | −1.37862 | −0.689308 | − | 0.724468i | \(-0.742085\pi\) | ||||
−0.689308 | + | 0.724468i | \(0.742085\pi\) | |||||||
\(920\) | 0.720681 | − | 0.262307i | 0.0237602 | − | 0.00864799i | ||||
\(921\) | 0.634376 | − | 18.3391i | 0.0209034 | − | 0.604294i | ||||
\(922\) | 43.8315 | + | 52.2364i | 1.44351 | + | 1.72031i | ||||
\(923\) | 2.73599 | + | 15.5166i | 0.0900562 | + | 0.510734i | ||||
\(924\) | −28.0309 | − | 6.37006i | −0.922150 | − | 0.209560i | ||||
\(925\) | −1.07601 | − | 0.902881i | −0.0353791 | − | 0.0296866i | ||||
\(926\) | −25.1165 | − | 14.5010i | −0.825378 | − | 0.476532i | ||||
\(927\) | 31.6398 | + | 43.4883i | 1.03919 | + | 1.42834i | ||||
\(928\) | −37.8963 | − | 65.6383i | −1.24401 | − | 2.15468i | ||||
\(929\) | 5.51917 | − | 31.3007i | 0.181078 | − | 1.02694i | −0.749814 | − | 0.661649i | \(-0.769857\pi\) |
0.930892 | − | 0.365295i | \(-0.119032\pi\) | |||||||
\(930\) | 6.69822 | − | 5.23677i | 0.219643 | − | 0.171721i | ||||
\(931\) | −28.6876 | − | 36.2518i | −0.940199 | − | 1.18810i | ||||
\(932\) | −6.10897 | + | 16.7842i | −0.200106 | + | 0.549786i | ||||
\(933\) | 8.46102 | − | 6.61496i | 0.277001 | − | 0.216564i | ||||
\(934\) | 35.6484 | + | 6.28577i | 1.16645 | + | 0.205677i | ||||
\(935\) | 8.66476 | − | 5.00260i | 0.283368 | − | 0.163603i | ||||
\(936\) | 0.446565 | + | 0.198472i | 0.0145964 | + | 0.00648725i | ||||
\(937\) | −12.7723 | − | 7.37411i | −0.417254 | − | 0.240902i | 0.276648 | − | 0.960971i | \(-0.410777\pi\) |
−0.693902 | + | 0.720070i | \(0.744110\pi\) | |||||||
\(938\) | −45.9776 | − | 8.78894i | −1.50122 | − | 0.286969i | ||||
\(939\) | 17.0147 | − | 18.9092i | 0.555254 | − | 0.617080i | ||||
\(940\) | −6.61983 | − | 37.5429i | −0.215915 | − | 1.22451i | ||||
\(941\) | 22.9309 | − | 19.2413i | 0.747524 | − | 0.627248i | −0.187322 | − | 0.982298i | \(-0.559981\pi\) |
0.934847 | + | 0.355051i | \(0.115536\pi\) | |||||||
\(942\) | −60.3083 | − | 2.08615i | −1.96495 | − | 0.0679705i | ||||
\(943\) | 1.24944 | + | 3.43281i | 0.0406874 | + | 0.111788i | ||||
\(944\) | 2.27855 | 0.0741603 | ||||||||
\(945\) | −22.9359 | − | 2.72089i | −0.746104 | − | 0.0885105i | ||||
\(946\) | −7.23104 | −0.235101 | ||||||||
\(947\) | −15.8287 | − | 43.4890i | −0.514364 | − | 1.41320i | −0.876647 | − | 0.481135i | \(-0.840225\pi\) |
0.362283 | − | 0.932068i | \(-0.381997\pi\) | |||||||
\(948\) | 1.38870 | + | 2.60969i | 0.0451029 | + | 0.0847589i | ||||
\(949\) | −13.0523 | + | 10.9522i | −0.423697 | + | 0.355524i | ||||
\(950\) | −4.97437 | − | 28.2110i | −0.161390 | − | 0.915287i | ||||
\(951\) | −5.99181 | − | 18.4203i | −0.194298 | − | 0.597319i | ||||
\(952\) | −0.308254 | − | 0.0589248i | −0.00999056 | − | 0.00190976i | ||||
\(953\) | −23.3288 | − | 13.4689i | −0.755694 | − | 0.436300i | 0.0720539 | − | 0.997401i | \(-0.477045\pi\) |
−0.827747 | + | 0.561101i | \(0.810378\pi\) | |||||||
\(954\) | −5.33128 | − | 5.14158i | −0.172606 | − | 0.166465i | ||||
\(955\) | −7.40439 | + | 4.27493i | −0.239600 | + | 0.138333i | ||||
\(956\) | −36.6100 | − | 6.45533i | −1.18405 | − | 0.208780i | ||||
\(957\) | 48.7053 | + | 19.6596i | 1.57442 | + | 0.635504i | ||||
\(958\) | −5.62727 | + | 15.4608i | −0.181809 | + | 0.499516i | ||||
\(959\) | 5.67607 | − | 0.917093i | 0.183290 | − | 0.0296145i | ||||
\(960\) | −3.14313 | − | 22.3113i | −0.101444 | − | 0.720093i | ||||
\(961\) | 5.00950 | − | 28.4103i | 0.161597 | − | 0.916460i | ||||
\(962\) | 1.64864 | + | 2.85553i | 0.0531543 | + | 0.0920660i | ||||
\(963\) | −15.6955 | + | 7.66797i | −0.505779 | + | 0.247097i | ||||
\(964\) | −18.4565 | − | 10.6558i | −0.594442 | − | 0.343201i | ||||
\(965\) | −3.30573 | − | 2.77383i | −0.106415 | − | 0.0892929i | ||||
\(966\) | −62.7084 | + | 19.4078i | −2.01761 | + | 0.624435i | ||||
\(967\) | −1.68216 | − | 9.53998i | −0.0540945 | − | 0.306785i | 0.945741 | − | 0.324921i | \(-0.105338\pi\) |
−0.999836 | + | 0.0181363i | \(0.994227\pi\) | |||||||
\(968\) | 0.0343514 | + | 0.0409384i | 0.00110409 | + | 0.00131581i | ||||
\(969\) | 18.1297 | + | 11.3204i | 0.582411 | + | 0.363664i | ||||
\(970\) | 30.2073 | − | 10.9946i | 0.969898 | − | 0.353014i | ||||
\(971\) | 17.2534 | 0.553688 | 0.276844 | − | 0.960915i | \(-0.410711\pi\) | ||||
0.276844 | + | 0.960915i | \(0.410711\pi\) | |||||||
\(972\) | −26.5950 | − | 15.2964i | −0.853034 | − | 0.490631i | ||||
\(973\) | 47.9894 | − | 26.7963i | 1.53847 | − | 0.859049i | ||||
\(974\) | −7.92290 | − | 21.7680i | −0.253866 | − | 0.697492i | ||||
\(975\) | −8.20875 | − | 5.12564i | −0.262890 | − | 0.164152i | ||||
\(976\) | −18.6193 | − | 22.1897i | −0.595991 | − | 0.710274i | ||||
\(977\) | 32.3224 | − | 5.69932i | 1.03409 | − | 0.182337i | 0.369253 | − | 0.929329i | \(-0.379614\pi\) |
0.664833 | + | 0.746992i | \(0.268503\pi\) | |||||||
\(978\) | 68.1198 | + | 14.4559i | 2.17823 | + | 0.462248i | ||||
\(979\) | −15.4766 | + | 18.4443i | −0.494634 | + | 0.589482i | ||||
\(980\) | 10.9931 | + | 20.3685i | 0.351161 | + | 0.650649i | ||||
\(981\) | 12.4373 | + | 25.4578i | 0.397093 | + | 0.812804i | ||||
\(982\) | 24.1930 | + | 41.9035i | 0.772030 | + | 1.33719i | ||||
\(983\) | −6.82161 | + | 38.6873i | −0.217576 | + | 1.23393i | 0.658805 | + | 0.752314i | \(0.271062\pi\) |
−0.876381 | + | 0.481619i | \(0.840049\pi\) | |||||||
\(984\) | −0.0553126 | + | 0.00779224i | −0.00176330 | + | 0.000248407i | ||||
\(985\) | 1.42794 | − | 3.92324i | 0.0454980 | − | 0.125005i | ||||
\(986\) | −33.2784 | − | 12.1123i | −1.05980 | − | 0.385736i | ||||
\(987\) | −6.61902 | − | 52.4177i | −0.210686 | − | 1.66847i | ||||
\(988\) | −5.79161 | + | 32.8458i | −0.184256 | + | 1.04497i | ||||
\(989\) | −7.09277 | + | 4.09501i | −0.225537 | + | 0.130214i | ||||
\(990\) | 23.0330 | + | 22.2135i | 0.732037 | + | 0.705990i | ||||
\(991\) | 11.3750 | − | 19.7020i | 0.361338 | − | 0.625856i | −0.626843 | − | 0.779145i | \(-0.715653\pi\) |
0.988181 | + | 0.153289i | \(0.0489867\pi\) | |||||||
\(992\) | 8.95083 | + | 7.51064i | 0.284189 | + | 0.238463i | ||||
\(993\) | −45.6683 | + | 14.8551i | −1.44924 | + | 0.471414i | ||||
\(994\) | 25.0865 | − | 20.4440i | 0.795694 | − | 0.648445i | ||||
\(995\) | −21.1332 | − | 25.1856i | −0.669967 | − | 0.798436i | ||||
\(996\) | 13.0761 | + | 24.5730i | 0.414332 | + | 0.778626i | ||||
\(997\) | −6.82407 | − | 18.7490i | −0.216120 | − | 0.593786i | 0.783498 | − | 0.621394i | \(-0.213433\pi\) |
−0.999619 | + | 0.0276077i | \(0.991211\pi\) | |||||||
\(998\) | 33.0534i | 1.04629i | ||||||||
\(999\) | 1.36636 | + | 3.06077i | 0.0432298 | + | 0.0968385i |
(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 | 189.2.be.a.20.6 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.17 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.5 | ✓ | 132 | |
21.20 | even | 2 | 567.2.be.a.62.18 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.18 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.5 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.6 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.17 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.5 | ✓ | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.20.6 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.104.5 | yes | 132 | 27.23 | odd | 18 | inner | |
189.2.be.a.104.6 | yes | 132 | 189.104 | even | 18 | inner | |
567.2.be.a.62.17 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.18 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.17 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.18 | 132 | 27.4 | even | 9 |