Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} - 258 x^{3} + 108 x^{2} - 27 x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 76.2 | ||
Root | \(0.500000 - 0.258654i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.76 |
Dual form | 675.2.l.c.151.2 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62143 | − | 1.36054i | 1.14652 | − | 0.962046i | 0.146889 | − | 0.989153i | \(-0.453074\pi\) |
0.999633 | + | 0.0271067i | \(0.00862938\pi\) | |||||||
\(3\) | 0.986166 | − | 1.42389i | 0.569363 | − | 0.822086i | ||||
\(4\) | 0.430663 | − | 2.44241i | 0.215332 | − | 1.22121i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.338267 | − | 3.65046i | −0.138097 | − | 1.49029i | ||||
\(7\) | −0.168844 | − | 0.957561i | −0.0638170 | − | 0.361924i | −0.999947 | − | 0.0102706i | \(-0.996731\pi\) |
0.936130 | − | 0.351653i | \(-0.114380\pi\) | |||||||
\(8\) | −0.508086 | − | 0.880031i | −0.179636 | − | 0.311138i | ||||
\(9\) | −1.05495 | − | 2.80839i | −0.351651 | − | 0.936131i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.297791 | + | 0.108387i | 0.0897872 | + | 0.0326799i | 0.386523 | − | 0.922280i | \(-0.373676\pi\) |
−0.296736 | + | 0.954960i | \(0.595898\pi\) | |||||||
\(12\) | −3.05303 | − | 3.02185i | −0.881335 | − | 0.872332i | ||||
\(13\) | 1.15981 | + | 0.973200i | 0.321675 | + | 0.269917i | 0.789297 | − | 0.614011i | \(-0.210445\pi\) |
−0.467623 | + | 0.883928i | \(0.654889\pi\) | |||||||
\(14\) | −1.57657 | − | 1.32290i | −0.421355 | − | 0.353559i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.63991 | + | 0.960847i | 0.659977 | + | 0.240212i | ||||
\(17\) | 0.587342 | − | 1.01731i | 0.142451 | − | 0.246733i | −0.785968 | − | 0.618267i | \(-0.787835\pi\) |
0.928419 | + | 0.371534i | \(0.121168\pi\) | |||||||
\(18\) | −5.53146 | − | 3.11830i | −1.30378 | − | 0.734991i | ||||
\(19\) | −3.11040 | − | 5.38737i | −0.713575 | − | 1.23595i | −0.963507 | − | 0.267685i | \(-0.913741\pi\) |
0.249931 | − | 0.968264i | \(-0.419592\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.52997 | − | 0.703898i | −0.333868 | − | 0.153603i | ||||
\(22\) | 0.630310 | − | 0.229414i | 0.134383 | − | 0.0489113i | ||||
\(23\) | −0.375556 | + | 2.12988i | −0.0783089 | + | 0.444112i | 0.920292 | + | 0.391232i | \(0.127951\pi\) |
−0.998601 | + | 0.0528796i | \(0.983160\pi\) | |||||||
\(24\) | −1.75413 | − | 0.144396i | −0.358060 | − | 0.0294747i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.20463 | 0.628480 | ||||||||
\(27\) | −5.03922 | − | 1.26740i | −0.969797 | − | 0.243912i | ||||
\(28\) | −2.41147 | −0.455726 | ||||||||
\(29\) | −3.37436 | + | 2.83142i | −0.626602 | + | 0.525782i | −0.899871 | − | 0.436156i | \(-0.856340\pi\) |
0.273269 | + | 0.961938i | \(0.411895\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50609 | + | 8.54146i | −0.270502 | + | 1.53409i | 0.482395 | + | 0.875954i | \(0.339767\pi\) |
−0.752897 | + | 0.658138i | \(0.771344\pi\) | |||||||
\(32\) | 7.49746 | − | 2.72885i | 1.32538 | − | 0.482398i | ||||
\(33\) | 0.448003 | − | 0.317135i | 0.0779872 | − | 0.0552061i | ||||
\(34\) | −0.431752 | − | 2.44859i | −0.0740449 | − | 0.419930i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.31359 | + | 1.36716i | −1.21893 | + | 0.227859i | ||||
\(37\) | −2.23332 | + | 3.86823i | −0.367156 | + | 0.635933i | −0.989120 | − | 0.147113i | \(-0.953002\pi\) |
0.621964 | + | 0.783046i | \(0.286335\pi\) | |||||||
\(38\) | −12.3730 | − | 4.50341i | −2.00717 | − | 0.730550i | ||||
\(39\) | 2.52950 | − | 0.691717i | 0.405045 | − | 0.110763i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.47767 | + | 3.75721i | 0.699295 | + | 0.586778i | 0.921573 | − | 0.388205i | \(-0.126905\pi\) |
−0.222278 | + | 0.974983i | \(0.571349\pi\) | |||||||
\(42\) | −3.43842 | + | 0.940269i | −0.530560 | + | 0.145087i | ||||
\(43\) | 5.25381 | + | 1.91223i | 0.801199 | + | 0.291613i | 0.709983 | − | 0.704219i | \(-0.248702\pi\) |
0.0912158 | + | 0.995831i | \(0.470925\pi\) | |||||||
\(44\) | 0.392973 | − | 0.680649i | 0.0592429 | − | 0.102612i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.28885 | + | 3.96441i | 0.337473 | + | 0.584521i | ||||
\(47\) | 0.429965 | + | 2.43845i | 0.0627168 | + | 0.355685i | 0.999975 | + | 0.00704911i | \(0.00224382\pi\) |
−0.937258 | + | 0.348636i | \(0.886645\pi\) | |||||||
\(48\) | 3.97153 | − | 2.81139i | 0.573241 | − | 0.405790i | ||||
\(49\) | 5.68943 | − | 2.07078i | 0.812776 | − | 0.295826i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.869320 | − | 1.83955i | −0.121729 | − | 0.257588i | ||||
\(52\) | 2.87645 | − | 2.41362i | 0.398891 | − | 0.334710i | ||||
\(53\) | 10.8920 | 1.49613 | 0.748063 | − | 0.663628i | \(-0.230984\pi\) | ||||
0.748063 | + | 0.663628i | \(0.230984\pi\) | |||||||
\(54\) | −9.89507 | + | 4.80105i | −1.34655 | + | 0.653340i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.756896 | + | 0.635111i | −0.101145 | + | 0.0848703i | ||||
\(57\) | −10.7384 | − | 0.883963i | −1.42234 | − | 0.117084i | ||||
\(58\) | −1.61901 | + | 9.18189i | −0.212587 | + | 1.20564i | ||||
\(59\) | 1.62023 | − | 0.589715i | 0.210936 | − | 0.0767743i | −0.234391 | − | 0.972142i | \(-0.575310\pi\) |
0.445327 | + | 0.895368i | \(0.353087\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.176214 | + | 0.999361i | 0.0225619 | + | 0.127955i | 0.994008 | − | 0.109304i | \(-0.0348621\pi\) |
−0.971446 | + | 0.237259i | \(0.923751\pi\) | |||||||
\(62\) | 9.17898 | + | 15.8985i | 1.16573 | + | 2.01911i | ||||
\(63\) | −2.51109 | + | 1.48436i | −0.316367 | + | 0.187012i | ||||
\(64\) | 5.63455 | − | 9.75933i | 0.704319 | − | 1.21992i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.294929 | − | 1.12374i | 0.0363033 | − | 0.138322i | ||||
\(67\) | −0.656156 | − | 0.550580i | −0.0801622 | − | 0.0672641i | 0.601826 | − | 0.798627i | \(-0.294440\pi\) |
−0.681988 | + | 0.731363i | \(0.738884\pi\) | |||||||
\(68\) | −2.23174 | − | 1.87265i | −0.270638 | − | 0.227092i | ||||
\(69\) | 2.66237 | + | 2.63517i | 0.320512 | + | 0.317238i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.79788 | − | 8.31018i | 0.569404 | − | 0.986237i | −0.427221 | − | 0.904147i | \(-0.640507\pi\) |
0.996625 | − | 0.0820894i | \(-0.0261593\pi\) | |||||||
\(72\) | −1.93547 | + | 2.35530i | −0.228097 | + | 0.277574i | ||||
\(73\) | −7.62091 | − | 13.1998i | −0.891960 | − | 1.54492i | −0.837522 | − | 0.546404i | \(-0.815996\pi\) |
−0.0544385 | − | 0.998517i | \(-0.517337\pi\) | |||||||
\(74\) | 1.64171 | + | 9.31057i | 0.190844 | + | 1.08233i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −14.4977 | + | 5.27674i | −1.66300 | + | 0.605284i | ||||
\(77\) | 0.0535070 | − | 0.303453i | 0.00609768 | − | 0.0345817i | ||||
\(78\) | 3.16030 | − | 4.56306i | 0.357833 | − | 0.516664i | ||||
\(79\) | −8.59024 | + | 7.20807i | −0.966478 | + | 0.810971i | −0.981995 | − | 0.188908i | \(-0.939505\pi\) |
0.0155168 | + | 0.999880i | \(0.495061\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.77415 | + | 5.92544i | −0.752684 | + | 0.658382i | ||||
\(82\) | 12.3721 | 1.36626 | ||||||||
\(83\) | −3.58886 | + | 3.01141i | −0.393929 | + | 0.330546i | −0.818141 | − | 0.575017i | \(-0.804995\pi\) |
0.424212 | + | 0.905563i | \(0.360551\pi\) | |||||||
\(84\) | −2.37811 | + | 3.43369i | −0.259474 | + | 0.374646i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 11.1203 | − | 4.04747i | 1.19914 | − | 0.436450i | ||||
\(87\) | 0.703969 | + | 7.59698i | 0.0754734 | + | 0.814482i | ||||
\(88\) | −0.0559194 | − | 0.317135i | −0.00596103 | − | 0.0338067i | ||||
\(89\) | 7.74976 | + | 13.4230i | 0.821473 | + | 1.42283i | 0.904586 | + | 0.426292i | \(0.140180\pi\) |
−0.0831130 | + | 0.996540i | \(0.526486\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.736071 | − | 1.27491i | 0.0771612 | − | 0.133647i | ||||
\(92\) | 5.04032 | + | 1.83453i | 0.525490 | + | 0.191263i | ||||
\(93\) | 10.6769 | + | 10.5678i | 1.10714 | + | 1.09583i | ||||
\(94\) | 4.01476 | + | 3.36879i | 0.414091 | + | 0.347464i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.50815 | − | 13.3667i | 0.358049 | − | 1.36423i | ||||
\(97\) | −5.21481 | − | 1.89804i | −0.529484 | − | 0.192716i | 0.0634241 | − | 0.997987i | \(-0.479798\pi\) |
−0.592908 | + | 0.805270i | \(0.702020\pi\) | |||||||
\(98\) | 6.40762 | − | 11.0983i | 0.647267 | − | 1.12110i | ||||
\(99\) | −0.00976156 | − | 0.950656i | −0.000981074 | − | 0.0955445i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.76063 | − | 9.98501i | −0.175189 | − | 0.993546i | −0.937926 | − | 0.346836i | \(-0.887256\pi\) |
0.762737 | − | 0.646709i | \(-0.223855\pi\) | |||||||
\(102\) | −3.91231 | − | 1.79995i | −0.387377 | − | 0.178221i | ||||
\(103\) | −9.25906 | + | 3.37002i | −0.912323 | + | 0.332058i | −0.755180 | − | 0.655518i | \(-0.772451\pi\) |
−0.157143 | + | 0.987576i | \(0.550228\pi\) | |||||||
\(104\) | 0.267160 | − | 1.51514i | 0.0261972 | − | 0.148572i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 17.6605 | − | 14.8189i | 1.71534 | − | 1.43934i | ||||
\(107\) | −5.17080 | −0.499880 | −0.249940 | − | 0.968261i | \(-0.580411\pi\) | ||||
−0.249940 | + | 0.968261i | \(0.580411\pi\) | |||||||
\(108\) | −5.26573 | + | 11.7620i | −0.506695 | + | 1.13180i | ||||
\(109\) | −7.31065 | −0.700234 | −0.350117 | − | 0.936706i | \(-0.613858\pi\) | ||||
−0.350117 | + | 0.936706i | \(0.613858\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.30552 | + | 6.99473i | 0.313746 | + | 0.663911i | ||||
\(112\) | 0.474338 | − | 2.69010i | 0.0448207 | − | 0.254191i | ||||
\(113\) | 9.74991 | − | 3.54868i | 0.917195 | − | 0.333832i | 0.160073 | − | 0.987105i | \(-0.448827\pi\) |
0.757122 | + | 0.653274i | \(0.226605\pi\) | |||||||
\(114\) | −18.6142 | + | 13.1768i | −1.74338 | + | 1.23412i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 5.46229 | + | 9.46096i | 0.507161 | + | 0.878428i | ||||
\(117\) | 1.50958 | − | 4.28390i | 0.139561 | − | 0.396046i | ||||
\(118\) | 1.82475 | − | 3.16056i | 0.167982 | − | 0.290953i | ||||
\(119\) | −1.07330 | − | 0.390650i | −0.0983894 | − | 0.0358108i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.34956 | − | 7.00611i | −0.759051 | − | 0.636919i | ||||
\(122\) | 1.64539 | + | 1.38064i | 0.148966 | + | 0.124998i | ||||
\(123\) | 9.76560 | − | 2.67050i | 0.880535 | − | 0.240790i | ||||
\(124\) | 20.2132 | + | 7.35699i | 1.81520 | + | 0.660677i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.05201 | + | 5.82321i | −0.182808 | + | 0.518773i | ||||
\(127\) | 2.61372 | + | 4.52709i | 0.231930 | + | 0.401714i | 0.958376 | − | 0.285509i | \(-0.0921627\pi\) |
−0.726446 | + | 0.687223i | \(0.758829\pi\) | |||||||
\(128\) | −1.37098 | − | 7.77522i | −0.121179 | − | 0.687239i | ||||
\(129\) | 7.90395 | − | 5.59510i | 0.695904 | − | 0.492621i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.25622 | + | 7.12440i | −0.109757 | + | 0.622461i | 0.879457 | + | 0.475979i | \(0.157906\pi\) |
−0.989213 | + | 0.146482i | \(0.953205\pi\) | |||||||
\(132\) | −0.581636 | − | 1.23079i | −0.0506249 | − | 0.107126i | ||||
\(133\) | −4.63357 | + | 3.88802i | −0.401781 | + | 0.337134i | ||||
\(134\) | −1.81300 | −0.156619 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.19368 | −0.102357 | ||||||||
\(137\) | −8.61748 | + | 7.23092i | −0.736241 | + | 0.617779i | −0.931825 | − | 0.362907i | \(-0.881784\pi\) |
0.195584 | + | 0.980687i | \(0.437340\pi\) | |||||||
\(138\) | 7.90210 | + | 0.650482i | 0.672671 | + | 0.0553727i | ||||
\(139\) | 1.62885 | − | 9.23766i | 0.138157 | − | 0.783528i | −0.834452 | − | 0.551081i | \(-0.814216\pi\) |
0.972609 | − | 0.232447i | \(-0.0746733\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.89612 | + | 1.79249i | 0.328112 | + | 0.150955i | ||||
\(142\) | −3.52690 | − | 20.0021i | −0.295971 | − | 1.67854i | ||||
\(143\) | 0.239900 | + | 0.415518i | 0.0200614 | + | 0.0347474i | ||||
\(144\) | −0.0865360 | − | 8.42754i | −0.00721133 | − | 0.702295i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −30.3156 | − | 11.0340i | −2.50894 | − | 0.913179i | ||||
\(147\) | 2.66215 | − | 10.1433i | 0.219570 | − | 0.836605i | ||||
\(148\) | 8.48600 | + | 7.12060i | 0.697545 | + | 0.585310i | ||||
\(149\) | 14.5941 | + | 12.2459i | 1.19560 | + | 1.00322i | 0.999745 | + | 0.0225899i | \(0.00719121\pi\) |
0.195851 | + | 0.980634i | \(0.437253\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.77193 | − | 1.37287i | −0.306955 | − | 0.111723i | 0.183950 | − | 0.982936i | \(-0.441112\pi\) |
−0.490905 | + | 0.871213i | \(0.663334\pi\) | |||||||
\(152\) | −3.16070 | + | 5.47450i | −0.256367 | + | 0.444041i | ||||
\(153\) | −3.47661 | − | 0.576279i | −0.281068 | − | 0.0465894i | ||||
\(154\) | −0.326102 | − | 0.564825i | −0.0262780 | − | 0.0455149i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.600093 | − | 6.47599i | −0.0480459 | − | 0.518494i | ||||
\(157\) | 6.83713 | − | 2.48851i | 0.545662 | − | 0.198605i | −0.0544560 | − | 0.998516i | \(-0.517342\pi\) |
0.600118 | + | 0.799911i | \(0.295120\pi\) | |||||||
\(158\) | −4.12159 | + | 23.3747i | −0.327896 | + | 1.85959i | ||||
\(159\) | 10.7413 | − | 15.5090i | 0.851839 | − | 1.22994i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.10290 | 0.165732 | ||||||||
\(162\) | −2.92200 | + | 18.8242i | −0.229574 | + | 1.47897i | ||||
\(163\) | −12.4492 | −0.975094 | −0.487547 | − | 0.873097i | \(-0.662108\pi\) | ||||
−0.487547 | + | 0.873097i | \(0.662108\pi\) | |||||||
\(164\) | 11.1050 | − | 9.31823i | 0.867157 | − | 0.727632i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.72194 | + | 9.76558i | −0.133648 | + | 0.757956i | ||||
\(167\) | −2.19126 | + | 0.797553i | −0.169565 | + | 0.0617165i | −0.425408 | − | 0.905002i | \(-0.639869\pi\) |
0.255843 | + | 0.966718i | \(0.417647\pi\) | |||||||
\(168\) | 0.157906 | + | 1.70407i | 0.0121827 | + | 0.131472i | ||||
\(169\) | −1.85937 | − | 10.5450i | −0.143029 | − | 0.811157i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.8485 | + | 14.4187i | −0.906081 | + | 1.10262i | ||||
\(172\) | 6.93308 | − | 12.0085i | 0.528643 | − | 0.915636i | ||||
\(173\) | −3.36623 | − | 1.22521i | −0.255930 | − | 0.0931509i | 0.210869 | − | 0.977514i | \(-0.432371\pi\) |
−0.466799 | + | 0.884363i | \(0.654593\pi\) | |||||||
\(174\) | 11.4774 | + | 11.3602i | 0.870101 | + | 0.861213i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.681996 | + | 0.572262i | 0.0514074 | + | 0.0431359i | ||||
\(177\) | 0.758123 | − | 2.88859i | 0.0569840 | − | 0.217120i | ||||
\(178\) | 30.8281 | + | 11.2205i | 2.31067 | + | 0.841014i | ||||
\(179\) | 9.99785 | − | 17.3168i | 0.747275 | − | 1.29432i | −0.201850 | − | 0.979416i | \(-0.564695\pi\) |
0.949124 | − | 0.314901i | \(-0.101971\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.86616 | − | 8.42844i | −0.361699 | − | 0.626481i | 0.626542 | − | 0.779388i | \(-0.284470\pi\) |
−0.988241 | + | 0.152907i | \(0.951136\pi\) | |||||||
\(182\) | −0.541082 | − | 3.06863i | −0.0401077 | − | 0.227462i | ||||
\(183\) | 1.59676 | + | 0.734626i | 0.118036 | + | 0.0543051i | ||||
\(184\) | 2.06518 | − | 0.751664i | 0.152247 | − | 0.0554134i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 31.6897 | + | 2.60862i | 2.32360 | + | 0.191274i | ||||
\(187\) | 0.285168 | − | 0.239284i | 0.0208535 | − | 0.0174982i | ||||
\(188\) | 6.14088 | 0.447869 | ||||||||
\(189\) | −0.362776 | + | 5.03935i | −0.0263881 | + | 0.366559i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.6023 | + | 11.4137i | −0.984227 | + | 0.825864i | −0.984722 | − | 0.174135i | \(-0.944287\pi\) |
0.000494763 | 1.00000i | \(0.499843\pi\) | ||||||||
\(192\) | −8.33965 | − | 17.6473i | −0.601862 | − | 1.27359i | ||||
\(193\) | −1.83795 | + | 10.4235i | −0.132299 | + | 0.750303i | 0.844404 | + | 0.535706i | \(0.179955\pi\) |
−0.976703 | + | 0.214596i | \(0.931156\pi\) | |||||||
\(194\) | −11.0378 | + | 4.01743i | −0.792467 | + | 0.288434i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.60748 | − | 14.7878i | −0.186249 | − | 1.05627i | ||||
\(197\) | 7.07945 | + | 12.2620i | 0.504390 | + | 0.873628i | 0.999987 | + | 0.00507615i | \(0.00161579\pi\) |
−0.495597 | + | 0.868552i | \(0.665051\pi\) | |||||||
\(198\) | −1.30923 | − | 1.52814i | −0.0930431 | − | 0.108600i | ||||
\(199\) | −3.77010 | + | 6.53000i | −0.267255 | + | 0.462899i | −0.968152 | − | 0.250363i | \(-0.919450\pi\) |
0.700897 | + | 0.713263i | \(0.252783\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.43105 | + | 0.391333i | −0.100938 | + | 0.0276025i | ||||
\(202\) | −16.4397 | − | 13.7946i | −1.15669 | − | 0.970582i | ||||
\(203\) | 3.28100 | + | 2.75308i | 0.230281 | + | 0.193229i | ||||
\(204\) | −4.86732 | + | 1.33101i | −0.340780 | + | 0.0931896i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.4278 | + | 18.0616i | −0.726543 | + | 1.25841i | ||||
\(207\) | 6.37775 | − | 1.19222i | 0.443284 | − | 0.0828648i | ||||
\(208\) | 2.12670 | + | 3.68356i | 0.147460 | + | 0.255409i | ||||
\(209\) | −0.342328 | − | 1.94144i | −0.0236793 | − | 0.134292i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.89922 | + | 1.78317i | −0.337276 | + | 0.122758i | −0.505106 | − | 0.863058i | \(-0.668546\pi\) |
0.167829 | + | 0.985816i | \(0.446324\pi\) | |||||||
\(212\) | 4.69077 | − | 26.6027i | 0.322163 | − | 1.82708i | ||||
\(213\) | −7.10131 | − | 15.0269i | −0.486573 | − | 1.02963i | ||||
\(214\) | −8.38408 | + | 7.03508i | −0.573124 | + | 0.480908i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.44500 | + | 5.07862i | 0.0983199 | + | 0.345556i | ||||
\(217\) | 8.43326 | 0.572487 | ||||||||
\(218\) | −11.8537 | + | 9.94643i | −0.802833 | + | 0.673657i | ||||
\(219\) | −26.3106 | − | 2.16583i | −1.77791 | − | 0.146353i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.67125 | − | 0.608285i | 0.112420 | − | 0.0409177i | ||||
\(222\) | 14.8763 | + | 6.84416i | 0.998430 | + | 0.459350i | ||||
\(223\) | −3.07250 | − | 17.4250i | −0.205750 | − | 1.16686i | −0.896256 | − | 0.443537i | \(-0.853723\pi\) |
0.690506 | − | 0.723326i | \(-0.257388\pi\) | |||||||
\(224\) | −3.87894 | − | 6.71853i | −0.259173 | − | 0.448901i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.9807 | − | 19.0191i | 0.730423 | − | 1.26513i | ||||
\(227\) | −14.8208 | − | 5.39434i | −0.983692 | − | 0.358035i | −0.200418 | − | 0.979711i | \(-0.564230\pi\) |
−0.783275 | + | 0.621676i | \(0.786452\pi\) | |||||||
\(228\) | −6.78365 | + | 25.8470i | −0.449258 | + | 1.71176i | ||||
\(229\) | −1.35350 | − | 1.13572i | −0.0894415 | − | 0.0750504i | 0.596971 | − | 0.802263i | \(-0.296371\pi\) |
−0.686412 | + | 0.727213i | \(0.740815\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.379318 | − | 0.375443i | −0.0249573 | − | 0.0247024i | ||||
\(232\) | 4.20620 | + | 1.53093i | 0.276151 | + | 0.100511i | ||||
\(233\) | −6.94920 | + | 12.0364i | −0.455257 | + | 0.788529i | −0.998703 | − | 0.0509157i | \(-0.983786\pi\) |
0.543446 | + | 0.839444i | \(0.317119\pi\) | |||||||
\(234\) | −3.38073 | − | 8.99987i | −0.221005 | − | 0.588340i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.742554 | − | 4.21123i | −0.0483362 | − | 0.274128i | ||||
\(237\) | 1.79212 | + | 19.3400i | 0.116411 | + | 1.25627i | ||||
\(238\) | −2.27177 | + | 0.826858i | −0.147257 | + | 0.0535973i | ||||
\(239\) | −3.44391 | + | 19.5314i | −0.222768 | + | 1.26338i | 0.644138 | + | 0.764909i | \(0.277216\pi\) |
−0.866906 | + | 0.498471i | \(0.833895\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.8419 | − | 12.4538i | 0.956050 | − | 0.802221i | −0.0242563 | − | 0.999706i | \(-0.507722\pi\) |
0.980306 | + | 0.197485i | \(0.0632773\pi\) | |||||||
\(242\) | −23.0703 | −1.48301 | ||||||||
\(243\) | 1.75676 | + | 15.4892i | 0.112696 | + | 0.993629i | ||||
\(244\) | 2.51674 | 0.161118 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.2009 | − | 17.6165i | 0.777901 | − | 1.12319i | ||||
\(247\) | 1.63550 | − | 9.27540i | 0.104065 | − | 0.590179i | ||||
\(248\) | 8.28198 | − | 3.01439i | 0.525906 | − | 0.191414i | ||||
\(249\) | 0.748720 | + | 8.07992i | 0.0474482 | + | 0.512044i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.73786 | + | 4.74212i | 0.172812 | + | 0.299320i | 0.939402 | − | 0.342818i | \(-0.111381\pi\) |
−0.766590 | + | 0.642137i | \(0.778048\pi\) | |||||||
\(252\) | 2.54399 | + | 6.77237i | 0.160256 | + | 0.426619i | ||||
\(253\) | −0.342689 | + | 0.593554i | −0.0215447 | + | 0.0373164i | ||||
\(254\) | 10.3972 | + | 3.78428i | 0.652380 | + | 0.237447i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.46383 | + | 3.74560i | 0.278989 | + | 0.234100i | ||||
\(257\) | 8.85943 | + | 7.43395i | 0.552636 | + | 0.463717i | 0.875833 | − | 0.482615i | \(-0.160313\pi\) |
−0.323196 | + | 0.946332i | \(0.604757\pi\) | |||||||
\(258\) | 5.20333 | − | 19.8257i | 0.323945 | − | 1.23429i | ||||
\(259\) | 4.08115 | + | 1.48542i | 0.253590 | + | 0.0922993i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.5115 | + | 6.48951i | 0.712546 | + | 0.401691i | ||||
\(262\) | 7.65614 | + | 13.2608i | 0.472998 | + | 0.819257i | ||||
\(263\) | −1.12488 | − | 6.37952i | −0.0693632 | − | 0.393378i | −0.999648 | − | 0.0265395i | \(-0.991551\pi\) |
0.930285 | − | 0.366839i | \(-0.119560\pi\) | |||||||
\(264\) | −0.506712 | − | 0.233124i | −0.0311860 | − | 0.0143478i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.22318 | + | 12.6083i | −0.136312 | + | 0.773064i | ||||
\(267\) | 26.7554 | + | 2.20245i | 1.63741 | + | 0.134788i | ||||
\(268\) | −1.62733 | + | 1.36549i | −0.0994048 | + | 0.0834106i | ||||
\(269\) | −13.8387 | −0.843758 | −0.421879 | − | 0.906652i | \(-0.638629\pi\) | ||||
−0.421879 | + | 0.906652i | \(0.638629\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.94536 | 0.118172 | 0.0590860 | − | 0.998253i | \(-0.481181\pi\) | ||||
0.0590860 | + | 0.998253i | \(0.481181\pi\) | |||||||
\(272\) | 2.52800 | − | 2.12125i | 0.153283 | − | 0.128619i | ||||
\(273\) | −1.08945 | − | 2.30536i | −0.0659366 | − | 0.139527i | ||||
\(274\) | −4.13466 | + | 23.4488i | −0.249784 | + | 1.41660i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.58277 | − | 5.36774i | 0.456429 | − | 0.323100i | ||||
\(277\) | −2.16586 | − | 12.2832i | −0.130134 | − | 0.738026i | −0.978125 | − | 0.208016i | \(-0.933299\pi\) |
0.847991 | − | 0.530010i | \(-0.177812\pi\) | |||||||
\(278\) | −9.92713 | − | 17.1943i | −0.595390 | − | 1.03125i | ||||
\(279\) | 25.5766 | − | 4.78114i | 1.53123 | − | 0.286239i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.16752 | − | 3.33670i | −0.546888 | − | 0.199051i | 0.0537751 | − | 0.998553i | \(-0.482875\pi\) |
−0.600663 | + | 0.799502i | \(0.705097\pi\) | |||||||
\(282\) | 8.75602 | − | 2.39442i | 0.521414 | − | 0.142585i | ||||
\(283\) | −20.3547 | − | 17.0797i | −1.20996 | − | 1.01528i | −0.999288 | − | 0.0377246i | \(-0.987989\pi\) |
−0.210676 | − | 0.977556i | \(-0.567567\pi\) | |||||||
\(284\) | −18.2306 | − | 15.2973i | −1.08179 | − | 0.907728i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.954309 | + | 0.347340i | 0.0564295 | + | 0.0205386i | ||||
\(287\) | 2.84173 | − | 4.92202i | 0.167742 | − | 0.290538i | ||||
\(288\) | −15.5732 | − | 18.1770i | −0.917657 | − | 1.07109i | ||||
\(289\) | 7.81006 | + | 13.5274i | 0.459415 | + | 0.795730i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.84527 | + | 5.55356i | −0.459898 | + | 0.325556i | ||||
\(292\) | −35.5214 | + | 12.9287i | −2.07873 | + | 0.756598i | ||||
\(293\) | −2.12849 | + | 12.0712i | −0.124347 | + | 0.705210i | 0.857346 | + | 0.514741i | \(0.172112\pi\) |
−0.981693 | + | 0.190469i | \(0.938999\pi\) | |||||||
\(294\) | −9.48386 | − | 20.0686i | −0.553110 | − | 1.17042i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 4.53888 | 0.263817 | ||||||||
\(297\) | −1.36326 | − | 0.923606i | −0.0791044 | − | 0.0535930i | ||||
\(298\) | 40.3243 | 2.33592 | ||||||||
\(299\) | −2.50838 | + | 2.10478i | −0.145063 | + | 0.121723i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.944004 | − | 5.35371i | 0.0544115 | − | 0.308583i | ||||
\(302\) | −7.98375 | + | 2.90585i | −0.459413 | + | 0.167213i | ||||
\(303\) | −15.9539 | − | 7.33993i | −0.916526 | − | 0.421668i | ||||
\(304\) | −3.03473 | − | 17.2108i | −0.174053 | − | 0.987106i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −6.42113 | + | 3.79567i | −0.367071 | + | 0.216984i | ||||
\(307\) | −13.2370 | + | 22.9271i | −0.755475 | + | 1.30852i | 0.189663 | + | 0.981849i | \(0.439260\pi\) |
−0.945138 | + | 0.326671i | \(0.894073\pi\) | |||||||
\(308\) | −0.718114 | − | 0.261372i | −0.0409184 | − | 0.0148931i | ||||
\(309\) | −4.33242 | + | 16.5073i | −0.246463 | + | 0.939070i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.5280 | − | 11.3513i | −0.767100 | − | 0.643673i | 0.172865 | − | 0.984946i | \(-0.444698\pi\) |
−0.939964 | + | 0.341272i | \(0.889142\pi\) | |||||||
\(312\) | −1.89394 | − | 1.87459i | −0.107223 | − | 0.106128i | ||||
\(313\) | 9.06541 | + | 3.29954i | 0.512407 | + | 0.186501i | 0.585266 | − | 0.810841i | \(-0.300990\pi\) |
−0.0728589 | + | 0.997342i | \(0.523212\pi\) | |||||||
\(314\) | 7.70019 | − | 13.3371i | 0.434547 | − | 0.752657i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.9056 | + | 24.0852i | 0.782250 | + | 1.35490i | ||||
\(317\) | 0.644320 | + | 3.65412i | 0.0361886 | + | 0.205236i | 0.997541 | − | 0.0700850i | \(-0.0223270\pi\) |
−0.961352 | + | 0.275321i | \(0.911216\pi\) | |||||||
\(318\) | −3.68439 | − | 39.7606i | −0.206610 | − | 2.22967i | ||||
\(319\) | −1.31174 | + | 0.477435i | −0.0734434 | + | 0.0267312i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.09927 | + | 7.36268i | −0.284614 | + | 0.410945i | ||||
\(322\) | 3.40971 | − | 2.86108i | 0.190016 | − | 0.159442i | ||||
\(323\) | −7.30748 | −0.406599 | ||||||||
\(324\) | 11.5550 | + | 19.0972i | 0.641944 | + | 1.06095i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.1854 | + | 16.9376i | −1.11797 | + | 0.938085i | ||||
\(327\) | −7.20952 | + | 10.4096i | −0.398687 | + | 0.575652i | ||||
\(328\) | 1.03142 | − | 5.84948i | 0.0569507 | − | 0.322983i | ||||
\(329\) | 2.26237 | − | 0.823435i | 0.124728 | − | 0.0453974i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.245329 | − | 1.39133i | −0.0134845 | − | 0.0764745i | 0.977323 | − | 0.211755i | \(-0.0679177\pi\) |
−0.990807 | + | 0.135280i | \(0.956807\pi\) | |||||||
\(332\) | 5.80953 | + | 10.0624i | 0.318839 | + | 0.552246i | ||||
\(333\) | 13.2196 | + | 2.19126i | 0.724427 | + | 0.120080i | ||||
\(334\) | −2.46786 | + | 4.27446i | −0.135035 | + | 0.233888i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.36265 | − | 3.32830i | −0.183447 | − | 0.181573i | ||||
\(337\) | 9.95097 | + | 8.34986i | 0.542064 | + | 0.454846i | 0.872243 | − | 0.489073i | \(-0.162665\pi\) |
−0.330179 | + | 0.943918i | \(0.607109\pi\) | |||||||
\(338\) | −17.3618 | − | 14.5683i | −0.944356 | − | 0.792409i | ||||
\(339\) | 4.56209 | − | 17.3824i | 0.247779 | − | 0.944084i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.37428 | + | 2.38033i | −0.0744215 | + | 0.128902i | ||||
\(342\) | 0.405587 | + | 39.4992i | 0.0219316 | + | 2.13587i | ||||
\(343\) | −6.34669 | − | 10.9928i | −0.342689 | − | 0.593555i | ||||
\(344\) | −0.986567 | − | 5.59510i | −0.0531921 | − | 0.301667i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.12504 | + | 2.59330i | −0.383045 | + | 0.139417i | ||||
\(347\) | 0.833591 | − | 4.72753i | 0.0447495 | − | 0.253787i | −0.954224 | − | 0.299094i | \(-0.903316\pi\) |
0.998973 | + | 0.0453070i | \(0.0144266\pi\) | |||||||
\(348\) | 18.8581 | + | 1.55236i | 1.01090 | + | 0.0832152i | ||||
\(349\) | −17.2954 | + | 14.5126i | −0.925803 | + | 0.776841i | −0.975059 | − | 0.221946i | \(-0.928759\pi\) |
0.0492565 | + | 0.998786i | \(0.484315\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.61112 | − | 6.37412i | −0.246123 | − | 0.340225i | ||||
\(352\) | 2.52845 | 0.134767 | ||||||||
\(353\) | 22.7565 | − | 19.0950i | 1.21121 | − | 1.01632i | 0.211972 | − | 0.977276i | \(-0.432012\pi\) |
0.999237 | − | 0.0390490i | \(-0.0124328\pi\) | |||||||
\(354\) | −2.70080 | − | 5.71509i | −0.143546 | − | 0.303754i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 36.1220 | − | 13.1473i | 1.91446 | − | 0.696807i | ||||
\(357\) | −1.61470 | + | 1.14302i | −0.0854589 | + | 0.0604952i | ||||
\(358\) | −7.34937 | − | 41.6804i | −0.388427 | − | 2.20288i | ||||
\(359\) | −6.70991 | − | 11.6219i | −0.354136 | − | 0.613381i | 0.632834 | − | 0.774288i | \(-0.281892\pi\) |
−0.986970 | + | 0.160906i | \(0.948558\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.84920 | + | 17.0593i | −0.518379 | + | 0.897858i | ||||
\(362\) | −19.3573 | − | 7.04550i | −1.01740 | − | 0.370303i | ||||
\(363\) | −18.2100 | + | 4.97970i | −0.955778 | + | 0.261366i | ||||
\(364\) | −2.79686 | − | 2.34685i | −0.146595 | − | 0.123008i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.58852 | − | 0.981314i | 0.187575 | − | 0.0512941i | ||||
\(367\) | −7.47054 | − | 2.71905i | −0.389959 | − | 0.141933i | 0.139597 | − | 0.990208i | \(-0.455419\pi\) |
−0.529556 | + | 0.848275i | \(0.677641\pi\) | |||||||
\(368\) | −3.03793 | + | 5.26184i | −0.158363 | + | 0.274293i | ||||
\(369\) | 5.82801 | − | 16.5387i | 0.303394 | − | 0.860973i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.83904 | − | 10.4297i | −0.0954782 | − | 0.541484i | ||||
\(372\) | 30.4091 | − | 21.5262i | 1.57664 | − | 1.11608i | ||||
\(373\) | −10.7318 | + | 3.90604i | −0.555670 | + | 0.202247i | −0.604564 | − | 0.796557i | \(-0.706653\pi\) |
0.0488939 | + | 0.998804i | \(0.484430\pi\) | |||||||
\(374\) | 0.136823 | − | 0.775963i | 0.00707496 | − | 0.0401241i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.92745 | − | 1.61733i | 0.0994009 | − | 0.0834072i | ||||
\(377\) | −6.66917 | −0.343480 | ||||||||
\(378\) | 6.26801 | + | 8.66451i | 0.322392 | + | 0.445654i | ||||
\(379\) | −24.1705 | −1.24155 | −0.620777 | − | 0.783987i | \(-0.713183\pi\) | ||||
−0.620777 | + | 0.783987i | \(0.713183\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.02366 | + | 0.742807i | 0.462296 | + | 0.0380551i | ||||
\(382\) | −6.52637 | + | 37.0129i | −0.333918 | + | 1.89374i | ||||
\(383\) | 8.87378 | − | 3.22979i | 0.453429 | − | 0.165035i | −0.105202 | − | 0.994451i | \(-0.533549\pi\) |
0.558631 | + | 0.829416i | \(0.311327\pi\) | |||||||
\(384\) | −12.4231 | − | 5.71553i | −0.633964 | − | 0.291669i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.2015 | + | 19.4016i | 0.570143 | + | 0.987516i | ||||
\(387\) | −0.172220 | − | 16.7721i | −0.00875442 | − | 0.852573i | ||||
\(388\) | −6.88162 | + | 11.9193i | −0.349361 | + | 0.605111i | ||||
\(389\) | 2.39406 | + | 0.871367i | 0.121384 | + | 0.0441801i | 0.401998 | − | 0.915641i | \(-0.368316\pi\) |
−0.280614 | + | 0.959821i | \(0.590538\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.94617 | + | 1.63303i | 0.0984218 | + | 0.0825857i | ||||
\(392\) | −4.71308 | − | 3.95474i | −0.238046 | − | 0.199745i | ||||
\(393\) | 8.90554 | + | 8.81457i | 0.449225 | + | 0.444636i | ||||
\(394\) | 28.1617 | + | 10.2500i | 1.41876 | + | 0.516388i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.32610 | − | 0.385571i | −0.116891 | − | 0.0193757i | ||||
\(397\) | 1.83759 | + | 3.18279i | 0.0922258 | + | 0.159740i | 0.908447 | − | 0.417999i | \(-0.137269\pi\) |
−0.816222 | + | 0.577739i | \(0.803935\pi\) | |||||||
\(398\) | 2.77138 | + | 15.7173i | 0.138917 | + | 0.787836i | ||||
\(399\) | 0.966669 | + | 10.4319i | 0.0483940 | + | 0.522251i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.80420 | − | 15.9034i | 0.140035 | − | 0.794177i | −0.831186 | − | 0.555995i | \(-0.812337\pi\) |
0.971220 | − | 0.238182i | \(-0.0765516\pi\) | |||||||
\(402\) | −1.78791 | + | 2.58151i | −0.0891731 | + | 0.128754i | ||||
\(403\) | −10.0593 | + | 8.44078i | −0.501091 | + | 0.420465i | ||||
\(404\) | −25.1458 | −1.25105 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.06558 | 0.449917 | ||||||||
\(407\) | −1.08433 | + | 0.909859i | −0.0537481 | + | 0.0451000i | ||||
\(408\) | −1.17717 | + | 1.69968i | −0.0582785 | + | 0.0841465i | ||||
\(409\) | 1.59443 | − | 9.04248i | 0.0788396 | − | 0.447122i | −0.919677 | − | 0.392676i | \(-0.871550\pi\) |
0.998517 | − | 0.0544462i | \(-0.0173393\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.79780 | + | 19.4013i | 0.0886792 | + | 0.956994i | ||||
\(412\) | 4.24345 | + | 24.0658i | 0.209060 | + | 1.18564i | ||||
\(413\) | −0.838253 | − | 1.45190i | −0.0412477 | − | 0.0714432i | ||||
\(414\) | 8.71900 | − | 10.6103i | 0.428515 | − | 0.521466i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 11.3514 | + | 4.13157i | 0.556548 | + | 0.202567i | ||||
\(417\) | −11.5471 | − | 11.4292i | −0.565466 | − | 0.559689i | ||||
\(418\) | −3.19646 | − | 2.68215i | −0.156344 | − | 0.131188i | ||||
\(419\) | −5.34613 | − | 4.48594i | −0.261176 | − | 0.219152i | 0.502791 | − | 0.864408i | \(-0.332306\pi\) |
−0.763967 | + | 0.645256i | \(0.776751\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.9525 | − | 10.5379i | −1.41106 | − | 0.513584i | −0.479619 | − | 0.877477i | \(-0.659225\pi\) |
−0.931441 | + | 0.363894i | \(0.881447\pi\) | |||||||
\(422\) | −5.51765 | + | 9.55686i | −0.268595 | + | 0.465221i | ||||
\(423\) | 6.39454 | − | 3.77996i | 0.310913 | − | 0.183788i | ||||
\(424\) | −5.53405 | − | 9.58526i | −0.268757 | − | 0.465502i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −31.9589 | − | 14.7034i | −1.54842 | − | 0.712383i | ||||
\(427\) | 0.927196 | − | 0.337472i | 0.0448702 | − | 0.0163314i | ||||
\(428\) | −2.22687 | + | 12.6292i | −0.107640 | + | 0.610457i | ||||
\(429\) | 0.828236 | + | 0.0681784i | 0.0399876 | + | 0.00329169i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.8971 | 1.34376 | 0.671879 | − | 0.740661i | \(-0.265487\pi\) | ||||
0.671879 | + | 0.740661i | \(0.265487\pi\) | |||||||
\(432\) | −12.0853 | − | 8.18774i | −0.581453 | − | 0.393933i | ||||
\(433\) | −19.1706 | −0.921278 | −0.460639 | − | 0.887588i | \(-0.652380\pi\) | ||||
−0.460639 | + | 0.887588i | \(0.652380\pi\) | |||||||
\(434\) | 13.6739 | − | 11.4738i | 0.656369 | − | 0.550759i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.14843 | + | 17.8556i | −0.150782 | + | 0.855130i | ||||
\(437\) | 12.6426 | − | 4.60154i | 0.604778 | − | 0.220121i | ||||
\(438\) | −45.6075 | + | 32.2849i | −2.17921 | + | 1.54263i | ||||
\(439\) | −4.12397 | − | 23.3882i | −0.196826 | − | 1.11626i | −0.909794 | − | 0.415060i | \(-0.863761\pi\) |
0.712968 | − | 0.701197i | \(-0.247351\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.8177 | − | 13.7936i | −0.562746 | − | 0.656838i | ||||
\(442\) | 1.88221 | − | 3.26009i | 0.0895278 | − | 0.155067i | ||||
\(443\) | 21.9496 | + | 7.98900i | 1.04286 | + | 0.379569i | 0.805962 | − | 0.591967i | \(-0.201648\pi\) |
0.236894 | + | 0.971536i | \(0.423871\pi\) | |||||||
\(444\) | 18.5076 | − | 5.06108i | 0.878332 | − | 0.240188i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −28.6892 | − | 24.0731i | −1.35847 | − | 1.13989i | ||||
\(447\) | 31.8291 | − | 8.70396i | 1.50546 | − | 0.411683i | ||||
\(448\) | −10.2965 | − | 3.74762i | −0.486464 | − | 0.177059i | ||||
\(449\) | −2.40953 | + | 4.17343i | −0.113713 | + | 0.196956i | −0.917264 | − | 0.398279i | \(-0.869608\pi\) |
0.803552 | + | 0.595235i | \(0.202941\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.926176 | + | 1.60418i | 0.0436119 | + | 0.0755380i | ||||
\(452\) | −4.46841 | − | 25.3416i | −0.210176 | − | 1.19197i | ||||
\(453\) | −5.67457 | + | 4.01695i | −0.266615 | + | 0.188733i | ||||
\(454\) | −31.3701 | + | 11.4178i | −1.47227 | + | 0.535863i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.67813 | + | 9.89928i | 0.219074 | + | 0.463576i | ||||
\(457\) | 3.74872 | − | 3.14555i | 0.175358 | − | 0.147142i | −0.550885 | − | 0.834581i | \(-0.685710\pi\) |
0.726242 | + | 0.687439i | \(0.241265\pi\) | |||||||
\(458\) | −3.73978 | −0.174749 | ||||||||
\(459\) | −4.24908 | + | 4.38203i | −0.198330 | + | 0.204535i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.4419 | − | 17.9919i | 0.998650 | − | 0.837967i | 0.0118535 | − | 0.999930i | \(-0.496227\pi\) |
0.986797 | + | 0.161963i | \(0.0517824\pi\) | |||||||
\(462\) | −1.12584 | − | 0.0926768i | −0.0523789 | − | 0.00431171i | ||||
\(463\) | 4.77104 | − | 27.0579i | 0.221729 | − | 1.25749i | −0.647111 | − | 0.762396i | \(-0.724023\pi\) |
0.868840 | − | 0.495093i | \(-0.164866\pi\) | |||||||
\(464\) | −11.6285 | + | 4.23245i | −0.539842 | + | 0.196486i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.10832 | + | 28.9707i | 0.236639 | + | 1.34204i | ||||
\(467\) | −10.6232 | − | 18.4000i | −0.491585 | − | 0.851450i | 0.508368 | − | 0.861140i | \(-0.330249\pi\) |
−0.999953 | + | 0.00968963i | \(0.996916\pi\) | |||||||
\(468\) | −9.81292 | − | 5.53194i | −0.453602 | − | 0.255714i | ||||
\(469\) | −0.416426 | + | 0.721272i | −0.0192288 | + | 0.0333052i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.19917 | − | 12.1894i | 0.147410 | − | 0.561659i | ||||
\(472\) | −1.34218 | − | 1.12623i | −0.0617790 | − | 0.0518387i | ||||
\(473\) | 1.35728 | + | 1.13889i | 0.0624076 | + | 0.0523662i | ||||
\(474\) | 29.2186 | + | 28.9201i | 1.34205 | + | 1.32834i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.41636 | + | 2.45321i | −0.0649188 | + | 0.112443i | ||||
\(477\) | −11.4905 | − | 30.5889i | −0.526113 | − | 1.40057i | ||||
\(478\) | 20.9892 | + | 36.3543i | 0.960022 | + | 1.66281i | ||||
\(479\) | −7.23745 | − | 41.0456i | −0.330688 | − | 1.87542i | −0.466248 | − | 0.884654i | \(-0.654394\pi\) |
0.135560 | − | 0.990769i | \(-0.456717\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.35480 | + | 2.31296i | −0.289754 | + | 0.105462i | ||||
\(482\) | 7.12113 | − | 40.3859i | 0.324358 | − | 1.83953i | ||||
\(483\) | 2.07381 | − | 2.99431i | 0.0943618 | − | 0.136246i | ||||
\(484\) | −20.7077 | + | 17.3758i | −0.941258 | + | 0.789809i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 23.9220 | + | 22.7244i | 1.08513 | + | 1.03080i | ||||
\(487\) | −4.02801 | −0.182527 | −0.0912634 | − | 0.995827i | \(-0.529091\pi\) | ||||
−0.0912634 | + | 0.995827i | \(0.529091\pi\) | |||||||
\(488\) | 0.789937 | − | 0.662836i | 0.0357588 | − | 0.0300052i | ||||
\(489\) | −12.2769 | + | 17.7263i | −0.555183 | + | 0.801611i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 36.2922 | − | 13.2093i | 1.63784 | − | 0.596126i | 0.651184 | − | 0.758920i | \(-0.274273\pi\) |
0.986660 | + | 0.162793i | \(0.0520504\pi\) | |||||||
\(492\) | −2.31677 | − | 25.0017i | −0.104448 | − | 1.12716i | ||||
\(493\) | 0.898521 | + | 5.09577i | 0.0404674 | + | 0.229502i | ||||
\(494\) | −9.96769 | − | 17.2645i | −0.448468 | − | 0.776769i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.1830 | + | 21.1015i | −0.547032 | + | 0.947487i | ||||
\(497\) | −8.76759 | − | 3.19114i | −0.393280 | − | 0.143142i | ||||
\(498\) | 12.2070 | + | 12.0823i | 0.547011 | + | 0.541423i | ||||
\(499\) | −3.11922 | − | 2.61734i | −0.139636 | − | 0.117168i | 0.570295 | − | 0.821440i | \(-0.306829\pi\) |
−0.709930 | + | 0.704272i | \(0.751274\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.02531 | + | 3.90664i | −0.0458076 | + | 0.174536i | ||||
\(502\) | 10.8911 | + | 3.96403i | 0.486093 | + | 0.176923i | ||||
\(503\) | −1.71297 | + | 2.96695i | −0.0763775 | + | 0.132290i | −0.901684 | − | 0.432395i | \(-0.857669\pi\) |
0.825307 | + | 0.564684i | \(0.191002\pi\) | |||||||
\(504\) | 2.58213 | + | 1.45565i | 0.115017 | + | 0.0648398i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.251909 | + | 1.42865i | 0.0111987 | + | 0.0635111i | ||||
\(507\) | −16.8487 | − | 7.75161i | −0.748276 | − | 0.344261i | ||||
\(508\) | 12.1827 | − | 4.43412i | 0.540518 | − | 0.196732i | ||||
\(509\) | −2.12952 | + | 12.0771i | −0.0943893 | + | 0.535308i | 0.900543 | + | 0.434766i | \(0.143169\pi\) |
−0.994933 | + | 0.100542i | \(0.967942\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.3529 | + | 9.52619i | −0.502222 | + | 0.421414i | ||||
\(512\) | 28.1241 | 1.24292 | ||||||||
\(513\) | 8.84601 | + | 31.0903i | 0.390561 | + | 1.37267i | ||||
\(514\) | 24.4791 | 1.07973 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.2616 | − | 21.7143i | −0.451742 | − | 0.955920i | ||||
\(517\) | −0.136257 | + | 0.772750i | −0.00599257 | + | 0.0339855i | ||||
\(518\) | 8.63825 | − | 3.14407i | 0.379543 | − | 0.138142i | ||||
\(519\) | −5.06423 | + | 3.58490i | −0.222295 | + | 0.157360i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.04117 | − | 12.1957i | −0.308479 | − | 0.534302i | 0.669551 | − | 0.742766i | \(-0.266487\pi\) |
−0.978030 | + | 0.208465i | \(0.933153\pi\) | |||||||
\(522\) | 27.4943 | − | 5.13962i | 1.20339 | − | 0.224955i | ||||
\(523\) | 4.88956 | − | 8.46897i | 0.213806 | − | 0.370322i | −0.739097 | − | 0.673599i | \(-0.764747\pi\) |
0.952902 | + | 0.303277i | \(0.0980808\pi\) | |||||||
\(524\) | 16.8597 | + | 6.13643i | 0.736520 | + | 0.268071i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.5035 | − | 8.81348i | −0.457974 | − | 0.384286i | ||||
\(527\) | 7.80469 | + | 6.54892i | 0.339978 | + | 0.285275i | ||||
\(528\) | 1.48740 | − | 0.406744i | 0.0647309 | − | 0.0177013i | ||||
\(529\) | 17.2176 | + | 6.26668i | 0.748590 | + | 0.272464i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.36541 | − | 3.92812i | −0.146047 | − | 0.170466i | ||||
\(532\) | 7.50065 | + | 12.9915i | 0.325195 | + | 0.563254i | ||||
\(533\) | 1.53675 | + | 8.71534i | 0.0665640 | + | 0.377503i | ||||
\(534\) | 46.3785 | − | 32.8307i | 2.00699 | − | 1.42072i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.151144 | + | 0.857180i | −0.00652843 | + | 0.0370245i | ||||
\(537\) | −14.7977 | − | 31.3131i | −0.638569 | − | 1.35126i | ||||
\(538\) | −22.4384 | + | 18.8280i | −0.967387 | + | 0.811734i | ||||
\(539\) | 1.91871 | 0.0826445 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.9454 | 1.76038 | 0.880189 | − | 0.474623i | \(-0.157416\pi\) | ||||
0.880189 | + | 0.474623i | \(0.157416\pi\) | |||||||
\(542\) | 3.15426 | − | 2.64674i | 0.135487 | − | 0.113687i | ||||
\(543\) | −16.8001 | − | 1.38294i | −0.720959 | − | 0.0593477i | ||||
\(544\) | 1.62750 | − | 9.22999i | 0.0697783 | − | 0.395732i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.90300 | − | 2.25573i | −0.209829 | − | 0.0965365i | ||||
\(547\) | −0.192798 | − | 1.09341i | −0.00824343 | − | 0.0467508i | 0.980409 | − | 0.196975i | \(-0.0631117\pi\) |
−0.988652 | + | 0.150224i | \(0.952001\pi\) | |||||||
\(548\) | 13.9497 | + | 24.1615i | 0.595900 | + | 1.03213i | ||||
\(549\) | 2.62070 | − | 1.54916i | 0.111849 | − | 0.0661164i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 25.7495 | + | 9.37206i | 1.09697 | + | 0.399263i | ||||
\(552\) | 0.966321 | − | 3.68186i | 0.0411293 | − | 0.156711i | ||||
\(553\) | 8.35257 | + | 7.00864i | 0.355188 | + | 0.298038i | ||||
\(554\) | −20.2236 | − | 16.9696i | −0.859216 | − | 0.720968i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −21.8607 | − | 7.95664i | −0.927100 | − | 0.337437i | ||||
\(557\) | 17.5201 | − | 30.3458i | 0.742352 | − | 1.28579i | −0.209070 | − | 0.977901i | \(-0.567044\pi\) |
0.951422 | − | 0.307890i | \(-0.0996230\pi\) | |||||||
\(558\) | 34.9657 | − | 42.5503i | 1.48022 | − | 1.80130i | ||||
\(559\) | 4.23247 | + | 7.33084i | 0.179014 | + | 0.310062i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0594925 | − | 0.642022i | −0.00251178 | − | 0.0271062i | ||||
\(562\) | −19.4042 | + | 7.06254i | −0.818516 | + | 0.297915i | ||||
\(563\) | 6.73255 | − | 38.1822i | 0.283743 | − | 1.60919i | −0.425998 | − | 0.904724i | \(-0.640077\pi\) |
0.709741 | − | 0.704463i | \(-0.248812\pi\) | |||||||
\(564\) | 6.05593 | − | 8.74396i | 0.255001 | − | 0.368187i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −56.2413 | −2.36400 | ||||||||
\(567\) | 6.81774 | + | 5.48619i | 0.286318 | + | 0.230398i | ||||
\(568\) | −9.75095 | −0.409141 | ||||||||
\(569\) | −26.0213 | + | 21.8344i | −1.09087 | + | 0.915347i | −0.996777 | − | 0.0802169i | \(-0.974439\pi\) |
−0.0940904 | + | 0.995564i | \(0.529994\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.75191 | − | 9.93559i | 0.0733153 | − | 0.415792i | −0.925956 | − | 0.377631i | \(-0.876739\pi\) |
0.999272 | − | 0.0381610i | \(-0.0121500\pi\) | |||||||
\(572\) | 1.11818 | − | 0.406986i | 0.0467536 | − | 0.0170169i | ||||
\(573\) | 2.83775 | + | 30.6240i | 0.118549 | + | 1.27934i | ||||
\(574\) | −2.08894 | − | 11.8470i | −0.0871908 | − | 0.494484i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −33.3522 | − | 5.52842i | −1.38968 | − | 0.230351i | ||||
\(577\) | −6.06615 | + | 10.5069i | −0.252537 | + | 0.437407i | −0.964224 | − | 0.265090i | \(-0.914598\pi\) |
0.711687 | + | 0.702497i | \(0.247932\pi\) | |||||||
\(578\) | 31.0680 | + | 11.3078i | 1.29226 | + | 0.470344i | ||||
\(579\) | 13.0295 | + | 12.8964i | 0.541487 | + | 0.535956i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.48957 | + | 2.92810i | 0.144772 | + | 0.121478i | ||||
\(582\) | −5.16470 | + | 19.6785i | −0.214084 | + | 0.815700i | ||||
\(583\) | 3.24352 | + | 1.18055i | 0.134333 | + | 0.0488932i | ||||
\(584\) | −7.74416 | + | 13.4133i | −0.320456 | + | 0.555046i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.9722 | + | 22.4685i | 0.535877 | + | 0.928167i | ||||
\(587\) | −5.51319 | − | 31.2669i | −0.227554 | − | 1.29052i | −0.857743 | − | 0.514079i | \(-0.828134\pi\) |
0.630189 | − | 0.776442i | \(-0.282977\pi\) | |||||||
\(588\) | −23.6276 | − | 10.8704i | −0.974387 | − | 0.448288i | ||||
\(589\) | 50.7006 | − | 18.4535i | 2.08908 | − | 0.760363i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 24.4412 | + | 2.01195i | 1.00538 | + | 0.0827605i | ||||
\(592\) | −9.61254 | + | 8.06588i | −0.395073 | + | 0.331506i | ||||
\(593\) | −13.4906 | −0.553993 | −0.276996 | − | 0.960871i | \(-0.589339\pi\) | ||||
−0.276996 | + | 0.960871i | \(0.589339\pi\) | |||||||
\(594\) | −3.46703 | + | 0.357210i | −0.142254 | + | 0.0146565i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 36.1947 | − | 30.3710i | 1.48259 | − | 1.24404i | ||||
\(597\) | 5.58009 | + | 11.8079i | 0.228378 | + | 0.483265i | ||||
\(598\) | −1.20352 | + | 6.82550i | −0.0492156 | + | 0.279115i | ||||
\(599\) | 39.8715 | − | 14.5120i | 1.62911 | − | 0.592946i | 0.644020 | − | 0.765009i | \(-0.277265\pi\) |
0.985086 | + | 0.172063i | \(0.0550432\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.43906 | − | 19.5039i | −0.140282 | − | 0.795579i | −0.971035 | − | 0.238938i | \(-0.923201\pi\) |
0.830753 | − | 0.556641i | \(-0.187910\pi\) | |||||||
\(602\) | −5.75330 | − | 9.96501i | −0.234487 | − | 0.406144i | ||||
\(603\) | −0.854034 | + | 2.42358i | −0.0347789 | + | 0.0986958i | ||||
\(604\) | −4.97755 | + | 8.62136i | −0.202533 | + | 0.350798i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −35.8543 | + | 9.80470i | −1.45648 | + | 0.398289i | ||||
\(607\) | 27.5769 | + | 23.1397i | 1.11931 | + | 0.939213i | 0.998569 | − | 0.0534715i | \(-0.0170286\pi\) |
0.120741 | + | 0.992684i | \(0.461473\pi\) | |||||||
\(608\) | −38.0215 | − | 31.9038i | −1.54197 | − | 1.29387i | ||||
\(609\) | 7.15571 | − | 1.95680i | 0.289964 | − | 0.0792934i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.87442 | + | 3.24659i | −0.0758310 | + | 0.131343i | ||||
\(612\) | −2.90476 | + | 8.24315i | −0.117418 | + | 0.333209i | ||||
\(613\) | 13.2314 | + | 22.9175i | 0.534411 | + | 0.925627i | 0.999192 | + | 0.0402013i | \(0.0127999\pi\) |
−0.464780 | + | 0.885426i | \(0.653867\pi\) | |||||||
\(614\) | 9.73045 | + | 55.1841i | 0.392689 | + | 2.22705i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.294234 | + | 0.107093i | −0.0118550 | + | 0.00431488i | ||||
\(617\) | −8.52903 | + | 48.3705i | −0.343366 | + | 1.94732i | −0.0239406 | + | 0.999713i | \(0.507621\pi\) |
−0.319425 | + | 0.947611i | \(0.603490\pi\) | |||||||
\(618\) | 15.4342 | + | 32.6599i | 0.620853 | + | 1.31377i | ||||
\(619\) | −18.5430 | + | 15.5595i | −0.745307 | + | 0.625387i | −0.934257 | − | 0.356600i | \(-0.883936\pi\) |
0.188950 | + | 0.981987i | \(0.439492\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.59193 | − | 10.2570i | 0.184268 | − | 0.411598i | ||||
\(622\) | −37.3785 | −1.49874 | ||||||||
\(623\) | 11.5448 | − | 9.68725i | 0.462533 | − | 0.388111i | ||||
\(624\) | 7.34229 | + | 0.604400i | 0.293927 | + | 0.0241954i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 19.1881 | − | 6.98388i | 0.766909 | − | 0.279132i | ||||
\(627\) | −3.10199 | − | 1.42714i | −0.123882 | − | 0.0569945i | ||||
\(628\) | −3.13347 | − | 17.7708i | −0.125039 | − | 0.709132i | ||||
\(629\) | 2.62345 | + | 4.54395i | 0.104604 | + | 0.181179i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.84842 | + | 15.3259i | −0.352250 | + | 0.610115i | −0.986643 | − | 0.162895i | \(-0.947917\pi\) |
0.634393 | + | 0.773010i | \(0.281250\pi\) | |||||||
\(632\) | 10.7079 | + | 3.89736i | 0.425938 | + | 0.155029i | ||||
\(633\) | −2.29240 | + | 8.73447i | −0.0911147 | + | 0.347164i | ||||
\(634\) | 6.01629 | + | 5.04827i | 0.238937 | + | 0.200492i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −33.2535 | − | 32.9138i | −1.31859 | − | 1.30512i | ||||
\(637\) | 8.61398 | + | 3.13523i | 0.341298 | + | 0.124222i | ||||
\(638\) | −1.47732 | + | 2.55880i | −0.0584878 | + | 0.101304i | ||||
\(639\) | −28.3998 | − | 4.70751i | −1.12348 | − | 0.186226i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.60738 | + | 37.4723i | 0.260976 | + | 1.48007i | 0.780254 | + | 0.625463i | \(0.215090\pi\) |
−0.519278 | + | 0.854605i | \(0.673799\pi\) | |||||||
\(642\) | 1.74911 | + | 18.8758i | 0.0690319 | + | 0.744968i | ||||
\(643\) | 44.1115 | − | 16.0553i | 1.73959 | − | 0.633158i | 0.740352 | − | 0.672220i | \(-0.234659\pi\) |
0.999237 | + | 0.0390615i | \(0.0124368\pi\) | |||||||
\(644\) | 0.905644 | − | 5.13616i | 0.0356874 | − | 0.202393i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.8485 | + | 9.94211i | −0.466175 | + | 0.391167i | ||||
\(647\) | 28.2333 | 1.10997 | 0.554983 | − | 0.831862i | \(-0.312725\pi\) | ||||
0.554983 | + | 0.831862i | \(0.312725\pi\) | |||||||
\(648\) | 8.65643 | + | 2.95083i | 0.340057 | + | 0.115920i | ||||
\(649\) | 0.546406 | 0.0214483 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.31660 | − | 12.0081i | 0.325953 | − | 0.470634i | ||||
\(652\) | −5.36140 | + | 30.4060i | −0.209969 | + | 1.19079i | ||||
\(653\) | 33.1779 | − | 12.0758i | 1.29835 | − | 0.472562i | 0.401893 | − | 0.915687i | \(-0.368353\pi\) |
0.896460 | + | 0.443125i | \(0.146130\pi\) | |||||||
\(654\) | 2.47295 | + | 26.6872i | 0.0967001 | + | 1.04355i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.21052 | + | 14.2210i | 0.320567 | + | 0.555239i | ||||
\(657\) | −29.0306 | + | 35.3277i | −1.13259 | + | 1.37826i | ||||
\(658\) | 2.54795 | − | 4.41318i | 0.0993295 | − | 0.172044i | ||||
\(659\) | −39.1793 | − | 14.2601i | −1.52621 | − | 0.555494i | −0.563519 | − | 0.826103i | \(-0.690553\pi\) |
−0.962689 | + | 0.270609i | \(0.912775\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.975874 | + | 0.818856i | 0.0379571 | + | 0.0318498i | 0.661569 | − | 0.749884i | \(-0.269891\pi\) |
−0.623612 | + | 0.781734i | \(0.714335\pi\) | |||||||
\(662\) | −2.29075 | − | 1.92216i | −0.0890324 | − | 0.0747070i | ||||
\(663\) | 0.781997 | − | 2.97956i | 0.0303702 | − | 0.115716i | ||||
\(664\) | 4.47359 | + | 1.62825i | 0.173609 | + | 0.0631885i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 24.4158 | − | 14.4328i | 0.946095 | − | 0.559258i | ||||
\(667\) | −4.76334 | − | 8.25035i | −0.184437 | − | 0.319455i | ||||
\(668\) | 1.00426 | + | 5.69543i | 0.0388559 | + | 0.220363i | ||||
\(669\) | −27.8413 | − | 12.8090i | −1.07641 | − | 0.495226i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.0558427 | + | 0.316700i | −0.00215578 | + | 0.0122261i | ||||
\(672\) | −13.3918 | − | 1.10238i | −0.516598 | − | 0.0425252i | ||||
\(673\) | −27.2963 | + | 22.9043i | −1.05219 | + | 0.882896i | −0.993323 | − | 0.115370i | \(-0.963195\pi\) |
−0.0588715 | + | 0.998266i | \(0.518750\pi\) | |||||||
\(674\) | 27.4951 | 1.05907 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.5561 | −1.02139 | ||||||||
\(677\) | −13.7902 | + | 11.5714i | −0.530002 | + | 0.444725i | −0.868102 | − | 0.496386i | \(-0.834660\pi\) |
0.338100 | + | 0.941110i | \(0.390216\pi\) | |||||||
\(678\) | −16.2524 | − | 34.3913i | −0.624169 | − | 1.32079i | ||||
\(679\) | −0.936996 | + | 5.31397i | −0.0359586 | + | 0.203931i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.2968 | + | 15.7836i | −0.854414 | + | 0.604828i | ||||
\(682\) | 1.01023 | + | 5.72929i | 0.0386836 | + | 0.219386i | ||||
\(683\) | 19.8807 | + | 34.4344i | 0.760715 | + | 1.31760i | 0.942483 | + | 0.334255i | \(0.108485\pi\) |
−0.181768 | + | 0.983341i | \(0.558182\pi\) | |||||||
\(684\) | 30.1136 | + | 35.1486i | 1.15142 | + | 1.34394i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −25.2468 | − | 9.18909i | −0.963928 | − | 0.350841i | ||||
\(687\) | −2.95192 | + | 0.807229i | −0.112623 | + | 0.0307977i | ||||
\(688\) | 12.0322 | + | 10.0962i | 0.458724 | + | 0.384915i | ||||
\(689\) | 12.6327 | + | 10.6001i | 0.481266 | + | 0.403830i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.8251 | + | 5.75986i | 0.602015 | + | 0.219115i | 0.625006 | − | 0.780620i | \(-0.285097\pi\) |
−0.0229909 | + | 0.999736i | \(0.507319\pi\) | |||||||
\(692\) | −4.44218 | + | 7.69408i | −0.168866 | + | 0.292485i | ||||
\(693\) | −0.908663 | + | 0.169860i | −0.0345173 | + | 0.00645244i | ||||
\(694\) | −5.08038 | − | 8.79948i | −0.192849 | − | 0.334024i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 6.32790 | − | 4.47944i | 0.239859 | − | 0.169793i | ||||
\(697\) | 6.45216 | − | 2.34839i | 0.244393 | − | 0.0889518i | ||||
\(698\) | −8.29833 | + | 47.0622i | −0.314097 | + | 1.78133i | ||||
\(699\) | 10.2854 | + | 21.7648i | 0.389031 | + | 0.823220i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.96921 | −0.338762 | −0.169381 | − | 0.985551i | \(-0.554177\pi\) | ||||
−0.169381 | + | 0.985551i | \(0.554177\pi\) | |||||||
\(702\) | −16.1488 | − | 4.06156i | −0.609498 | − | 0.153294i | ||||
\(703\) | 27.7861 | 1.04797 | ||||||||
\(704\) | 2.73570 | − | 2.29552i | 0.103106 | − | 0.0865158i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.9186 | − | 61.9223i | 0.410926 | − | 2.33048i | ||||
\(707\) | −9.26398 | + | 3.37181i | −0.348408 | + | 0.126810i | ||||
\(708\) | −6.72864 | − | 3.09566i | −0.252878 | − | 0.116342i | ||||
\(709\) | 3.15026 | + | 17.8660i | 0.118311 | + | 0.670973i | 0.985058 | + | 0.172225i | \(0.0550955\pi\) |
−0.866747 | + | 0.498748i | \(0.833793\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.3054 | + | 16.5206i | 1.09904 | + | 0.619572i | ||||
\(712\) | 7.87509 | − | 13.6401i | 0.295131 | − | 0.511183i | ||||
\(713\) | −17.6267 | − | 6.41560i | −0.660125 | − | 0.240266i | ||||
\(714\) | −1.06299 | + | 4.05019i | −0.0397814 | + | 0.151574i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −37.9890 | − | 31.8766i | −1.41972 | − | 1.19128i | ||||
\(717\) | 24.4144 | + | 24.1650i | 0.911771 | + | 0.902457i | ||||
\(718\) | −26.6917 | − | 9.71498i | −0.996125 | − | 0.362560i | ||||
\(719\) | −15.7860 | + | 27.3421i | −0.588718 | + | 1.01969i | 0.405683 | + | 0.914014i | \(0.367034\pi\) |
−0.994401 | + | 0.105675i | \(0.966300\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.79034 | + | 8.29711i | 0.178402 | + | 0.309001i | ||||
\(722\) | 7.24010 | + | 41.0606i | 0.269449 | + | 1.52812i | ||||
\(723\) | −3.09636 | − | 33.4148i | −0.115155 | − | 1.24271i | ||||
\(724\) | −22.6814 | + | 8.25536i | −0.842948 | + | 0.306808i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −22.7511 | + | 32.8497i | −0.844374 | + | 1.21916i | ||||
\(727\) | −29.4232 | + | 24.6890i | −1.09125 | + | 0.915664i | −0.996806 | − | 0.0798662i | \(-0.974551\pi\) |
−0.0944407 | + | 0.995530i | \(0.530106\pi\) | |||||||
\(728\) | −1.49595 | −0.0554436 | ||||||||
\(729\) | 23.7874 | + | 12.7734i | 0.881014 | + | 0.473090i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.03111 | − | 4.22160i | 0.186082 | − | 0.156142i | ||||
\(732\) | 2.48193 | − | 3.58358i | 0.0917346 | − | 0.132453i | ||||
\(733\) | 5.26680 | − | 29.8695i | 0.194534 | − | 1.10326i | −0.718547 | − | 0.695478i | \(-0.755193\pi\) |
0.913081 | − | 0.407778i | \(-0.133696\pi\) | |||||||
\(734\) | −15.8123 | + | 5.75521i | −0.583643 | + | 0.212429i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.99643 | + | 16.9936i | 0.110450 | + | 0.626391i | ||||
\(737\) | −0.135721 | − | 0.235076i | −0.00499936 | − | 0.00865915i | ||||
\(738\) | −13.0519 | − | 34.7456i | −0.480448 | − | 1.27900i | ||||
\(739\) | −5.00127 | + | 8.66245i | −0.183975 | + | 0.318653i | −0.943230 | − | 0.332139i | \(-0.892230\pi\) |
0.759256 | + | 0.650792i | \(0.225563\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −11.5943 | − | 11.4759i | −0.425928 | − | 0.421577i | ||||
\(742\) | −17.1719 | − | 14.4089i | −0.630400 | − | 0.528969i | ||||
\(743\) | −27.7873 | − | 23.3163i | −1.01942 | − | 0.855394i | −0.0298642 | − | 0.999554i | \(-0.509507\pi\) |
−0.989554 | + | 0.144160i | \(0.953952\pi\) | |||||||
\(744\) | 3.87523 | − | 14.7654i | 0.142073 | − | 0.541324i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −12.0865 | + | 20.9344i | −0.442517 | + | 0.766461i | ||||
\(747\) | 12.2433 | + | 6.90205i | 0.447960 | + | 0.252533i | ||||
\(748\) | −0.461619 | − | 0.799548i | −0.0168785 | − | 0.0292344i | ||||
\(749\) | 0.873058 | + | 4.95136i | 0.0319008 | + | 0.180919i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.6766 | − | 4.97788i | 0.499067 | − | 0.181646i | −0.0802073 | − | 0.996778i | \(-0.525558\pi\) |
0.579274 | + | 0.815133i | \(0.303336\pi\) | |||||||
\(752\) | −1.20791 | + | 6.85041i | −0.0440480 | + | 0.249809i | ||||
\(753\) | 9.45226 | + | 0.778089i | 0.344460 | + | 0.0283551i | ||||
\(754\) | −10.8136 | + | 9.07366i | −0.393807 | + | 0.330443i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 12.1519 | + | 3.05631i | 0.441962 | + | 0.111157i | ||||
\(757\) | 45.5754 | 1.65646 | 0.828232 | − | 0.560385i | \(-0.189347\pi\) | ||||
0.828232 | + | 0.560385i | \(0.189347\pi\) | |||||||
\(758\) | −39.1907 | + | 32.8849i | −1.42347 | + | 1.19443i | ||||
\(759\) | 0.507211 | + | 1.07330i | 0.0184106 | + | 0.0389582i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.9040 | + | 7.60843i | −0.757769 | + | 0.275805i | −0.691871 | − | 0.722021i | \(-0.743213\pi\) |
−0.0658978 | + | 0.997826i | \(0.520991\pi\) | |||||||
\(762\) | 15.6418 | − | 11.0726i | 0.566643 | − | 0.401119i | ||||
\(763\) | 1.23436 | + | 7.00040i | 0.0446868 | + | 0.253431i | ||||
\(764\) | 22.0189 | + | 38.1379i | 0.796616 | + | 1.37978i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.99393 | − | 17.3100i | 0.361096 | − | 0.625436i | ||||
\(767\) | 2.45307 | + | 0.892846i | 0.0885754 | + | 0.0322388i | ||||
\(768\) | 9.73542 | − | 2.66224i | 0.351297 | − | 0.0960654i | ||||
\(769\) | 10.4679 | + | 8.78365i | 0.377484 | + | 0.316747i | 0.811714 | − | 0.584056i | \(-0.198535\pi\) |
−0.434230 | + | 0.900802i | \(0.642979\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.3220 | − | 5.28379i | 0.695866 | − | 0.190291i | ||||
\(772\) | 24.6670 | + | 8.97807i | 0.887786 | + | 0.323128i | ||||
\(773\) | −10.3270 | + | 17.8869i | −0.371436 | + | 0.643345i | −0.989787 |