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 | 151.2 | ||
Root | \(0.500000 + 0.258654i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.151 |
Dual form | 675.2.l.c.76.2 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 | 0.999633 | − | 0.0271067i | \(-0.00862938\pi\) |
0.146889 | + | 0.989153i | \(0.453074\pi\) | |||||||
\(3\) | 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 | 0.936130 | + | 0.351653i | \(0.114380\pi\) |
−0.999947 | + | 0.0102706i | \(0.996731\pi\) | |||||||
\(8\) | −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 | −0.296736 | − | 0.954960i | \(-0.595898\pi\) |
0.386523 | + | 0.922280i | \(0.373676\pi\) | |||||||
\(12\) | −3.05303 | + | 3.02185i | −0.881335 | + | 0.872332i | ||||
\(13\) | 1.15981 | − | 0.973200i | 0.321675 | − | 0.269917i | −0.467623 | − | 0.883928i | \(-0.654889\pi\) |
0.789297 | + | 0.614011i | \(0.210445\pi\) | |||||||
\(14\) | −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 | 0.928419 | − | 0.371534i | \(-0.121168\pi\) |
−0.785968 | + | 0.618267i | \(0.787835\pi\) | |||||||
\(18\) | −5.53146 | + | 3.11830i | −1.30378 | + | 0.734991i | ||||
\(19\) | −3.11040 | + | 5.38737i | −0.713575 | + | 1.23595i | 0.249931 | + | 0.968264i | \(0.419592\pi\) |
−0.963507 | + | 0.267685i | \(0.913741\pi\) | |||||||
\(20\) | 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 | −0.998601 | − | 0.0528796i | \(-0.983160\pi\) |
0.920292 | − | 0.391232i | \(-0.127951\pi\) | |||||||
\(24\) | −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 | 0.273269 | − | 0.961938i | \(-0.411895\pi\) |
−0.899871 | + | 0.436156i | \(0.856340\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50609 | − | 8.54146i | −0.270502 | − | 1.53409i | −0.752897 | − | 0.658138i | \(-0.771344\pi\) |
0.482395 | − | 0.875954i | \(-0.339767\pi\) | |||||||
\(32\) | 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 | 0.621964 | − | 0.783046i | \(-0.286335\pi\) |
−0.989120 | + | 0.147113i | \(0.953002\pi\) | |||||||
\(38\) | −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 | −0.222278 | − | 0.974983i | \(-0.571349\pi\) |
0.921573 | + | 0.388205i | \(0.126905\pi\) | |||||||
\(42\) | −3.43842 | − | 0.940269i | −0.530560 | − | 0.145087i | ||||
\(43\) | 5.25381 | − | 1.91223i | 0.801199 | − | 0.291613i | 0.0912158 | − | 0.995831i | \(-0.470925\pi\) |
0.709983 | + | 0.704219i | \(0.248702\pi\) | |||||||
\(44\) | 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 | −0.937258 | − | 0.348636i | \(-0.886645\pi\) |
0.999975 | − | 0.00704911i | \(-0.00224382\pi\) | |||||||
\(48\) | 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 | 0.445327 | − | 0.895368i | \(-0.353087\pi\) |
−0.234391 | + | 0.972142i | \(0.575310\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.176214 | − | 0.999361i | 0.0225619 | − | 0.127955i | −0.971446 | − | 0.237259i | \(-0.923751\pi\) |
0.994008 | + | 0.109304i | \(0.0348621\pi\) | |||||||
\(62\) | 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 | −0.681988 | − | 0.731363i | \(-0.738884\pi\) |
0.601826 | + | 0.798627i | \(0.294440\pi\) | |||||||
\(68\) | −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 | 0.996625 | + | 0.0820894i | \(0.0261593\pi\) |
−0.427221 | + | 0.904147i | \(0.640507\pi\) | |||||||
\(72\) | −1.93547 | − | 2.35530i | −0.228097 | − | 0.277574i | ||||
\(73\) | −7.62091 | + | 13.1998i | −0.891960 | + | 1.54492i | −0.0544385 | + | 0.998517i | \(0.517337\pi\) |
−0.837522 | + | 0.546404i | \(0.815996\pi\) | |||||||
\(74\) | 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 | 0.0155168 | − | 0.999880i | \(-0.495061\pi\) |
−0.981995 | + | 0.188908i | \(0.939505\pi\) | |||||||
\(80\) | 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 | 0.424212 | − | 0.905563i | \(-0.360551\pi\) |
−0.818141 | + | 0.575017i | \(0.804995\pi\) | |||||||
\(84\) | −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 | −0.0831130 | − | 0.996540i | \(-0.526486\pi\) |
0.904586 | − | 0.426292i | \(-0.140180\pi\) | |||||||
\(90\) | 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 | −0.592908 | − | 0.805270i | \(-0.702020\pi\) |
0.0634241 | + | 0.997987i | \(0.479798\pi\) | |||||||
\(98\) | 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 | 0.762737 | + | 0.646709i | \(0.223855\pi\) |
−0.937926 | + | 0.346836i | \(0.887256\pi\) | |||||||
\(102\) | −3.91231 | + | 1.79995i | −0.387377 | + | 0.178221i | ||||
\(103\) | −9.25906 | − | 3.37002i | −0.912323 | − | 0.332058i | −0.157143 | − | 0.987576i | \(-0.550228\pi\) |
−0.755180 | + | 0.655518i | \(0.772451\pi\) | |||||||
\(104\) | 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 | 0.757122 | − | 0.653274i | \(-0.226605\pi\) |
0.160073 | + | 0.987105i | \(0.448827\pi\) | |||||||
\(114\) | −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 | −0.726446 | − | 0.687223i | \(-0.758829\pi\) |
0.958376 | + | 0.285509i | \(0.0921627\pi\) | |||||||
\(128\) | −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 | −0.989213 | − | 0.146482i | \(-0.953205\pi\) |
0.879457 | − | 0.475979i | \(-0.157906\pi\) | |||||||
\(132\) | −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 | 0.195584 | − | 0.980687i | \(-0.437340\pi\) |
−0.931825 | + | 0.362907i | \(0.881784\pi\) | |||||||
\(138\) | 7.90210 | − | 0.650482i | 0.672671 | − | 0.0553727i | ||||
\(139\) | 1.62885 | + | 9.23766i | 0.138157 | + | 0.783528i | 0.972609 | + | 0.232447i | \(0.0746733\pi\) |
−0.834452 | + | 0.551081i | \(0.814216\pi\) | |||||||
\(140\) | 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 | 0.195851 | − | 0.980634i | \(-0.437253\pi\) |
0.999745 | − | 0.0225899i | \(-0.00719121\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.77193 | + | 1.37287i | −0.306955 | + | 0.111723i | −0.490905 | − | 0.871213i | \(-0.663334\pi\) |
0.183950 | + | 0.982936i | \(0.441112\pi\) | |||||||
\(152\) | −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 | 0.600118 | − | 0.799911i | \(-0.295120\pi\) |
−0.0544560 | + | 0.998516i | \(0.517342\pi\) | |||||||
\(158\) | −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 | 0.255843 | − | 0.966718i | \(-0.417647\pi\) |
−0.425408 | + | 0.905002i | \(0.639869\pi\) | |||||||
\(168\) | 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 | −0.466799 | − | 0.884363i | \(-0.654593\pi\) |
0.210869 | + | 0.977514i | \(0.432371\pi\) | |||||||
\(174\) | 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 | 0.949124 | + | 0.314901i | \(0.101971\pi\) |
−0.201850 | + | 0.979416i | \(0.564695\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.86616 | + | 8.42844i | −0.361699 | + | 0.626481i | −0.988241 | − | 0.152907i | \(-0.951136\pi\) |
0.626542 | + | 0.779388i | \(0.284470\pi\) | |||||||
\(182\) | −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 | 0.000494763 | − | 1.00000i | \(-0.499843\pi\) |
−0.984722 | + | 0.174135i | \(0.944287\pi\) | |||||||
\(192\) | −8.33965 | + | 17.6473i | −0.601862 | + | 1.27359i | ||||
\(193\) | −1.83795 | − | 10.4235i | −0.132299 | − | 0.750303i | −0.976703 | − | 0.214596i | \(-0.931156\pi\) |
0.844404 | − | 0.535706i | \(-0.179955\pi\) | |||||||
\(194\) | −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 | −0.495597 | − | 0.868552i | \(-0.665051\pi\) |
0.999987 | − | 0.00507615i | \(-0.00161579\pi\) | |||||||
\(198\) | −1.30923 | + | 1.52814i | −0.0930431 | + | 0.108600i | ||||
\(199\) | −3.77010 | − | 6.53000i | −0.267255 | − | 0.462899i | 0.700897 | − | 0.713263i | \(-0.252783\pi\) |
−0.968152 | + | 0.250363i | \(0.919450\pi\) | |||||||
\(200\) | 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 | 0.167829 | − | 0.985816i | \(-0.446324\pi\) |
−0.505106 | + | 0.863058i | \(0.668546\pi\) | |||||||
\(212\) | 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 | 0.690506 | + | 0.723326i | \(0.257388\pi\) |
−0.896256 | + | 0.443537i | \(0.853723\pi\) | |||||||
\(224\) | −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 | −0.783275 | − | 0.621676i | \(-0.786452\pi\) |
−0.200418 | + | 0.979711i | \(0.564230\pi\) | |||||||
\(228\) | −6.78365 | − | 25.8470i | −0.449258 | − | 1.71176i | ||||
\(229\) | −1.35350 | + | 1.13572i | −0.0894415 | + | 0.0750504i | −0.686412 | − | 0.727213i | \(-0.740815\pi\) |
0.596971 | + | 0.802263i | \(0.296371\pi\) | |||||||
\(230\) | 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 | 0.543446 | − | 0.839444i | \(-0.317119\pi\) |
−0.998703 | + | 0.0509157i | \(0.983786\pi\) | |||||||
\(234\) | −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 | −0.866906 | − | 0.498471i | \(-0.833895\pi\) |
0.644138 | − | 0.764909i | \(-0.277216\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.8419 | + | 12.4538i | 0.956050 | + | 0.802221i | 0.980306 | − | 0.197485i | \(-0.0632773\pi\) |
−0.0242563 | + | 0.999706i | \(0.507722\pi\) | |||||||
\(242\) | −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 | −0.766590 | − | 0.642137i | \(-0.778048\pi\) |
0.939402 | + | 0.342818i | \(0.111381\pi\) | |||||||
\(252\) | 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 | −0.323196 | − | 0.946332i | \(-0.604757\pi\) |
0.875833 | + | 0.482615i | \(0.160313\pi\) | |||||||
\(258\) | 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 | 0.930285 | + | 0.366839i | \(0.119560\pi\) |
−0.999648 | + | 0.0265395i | \(0.991551\pi\) | |||||||
\(264\) | −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 | 0.847991 | + | 0.530010i | \(0.177812\pi\) |
−0.978125 | + | 0.208016i | \(0.933299\pi\) | |||||||
\(278\) | −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 | −0.600663 | − | 0.799502i | \(-0.705097\pi\) |
0.0537751 | + | 0.998553i | \(0.482875\pi\) | |||||||
\(282\) | 8.75602 | + | 2.39442i | 0.521414 | + | 0.142585i | ||||
\(283\) | −20.3547 | + | 17.0797i | −1.20996 | + | 1.01528i | −0.210676 | + | 0.977556i | \(0.567567\pi\) |
−0.999288 | + | 0.0377246i | \(0.987989\pi\) | |||||||
\(284\) | −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 | −0.981693 | − | 0.190469i | \(-0.938999\pi\) |
0.857346 | − | 0.514741i | \(-0.172112\pi\) | |||||||
\(294\) | −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 | −0.945138 | − | 0.326671i | \(-0.894073\pi\) |
0.189663 | − | 0.981849i | \(-0.439260\pi\) | |||||||
\(308\) | −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 | −0.939964 | − | 0.341272i | \(-0.889142\pi\) |
0.172865 | + | 0.984946i | \(0.444698\pi\) | |||||||
\(312\) | −1.89394 | + | 1.87459i | −0.107223 | + | 0.106128i | ||||
\(313\) | 9.06541 | − | 3.29954i | 0.512407 | − | 0.186501i | −0.0728589 | − | 0.997342i | \(-0.523212\pi\) |
0.585266 | + | 0.810841i | \(0.300990\pi\) | |||||||
\(314\) | 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 | −0.961352 | − | 0.275321i | \(-0.911216\pi\) |
0.997541 | + | 0.0700850i | \(0.0223270\pi\) | |||||||
\(318\) | −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 | −0.990807 | − | 0.135280i | \(-0.956807\pi\) |
0.977323 | + | 0.211755i | \(0.0679177\pi\) | |||||||
\(332\) | 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 | −0.330179 | − | 0.943918i | \(-0.607109\pi\) |
0.872243 | + | 0.489073i | \(0.162665\pi\) | |||||||
\(338\) | −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 | 0.998973 | − | 0.0453070i | \(-0.0144266\pi\) |
−0.954224 | + | 0.299094i | \(0.903316\pi\) | |||||||
\(348\) | 18.8581 | − | 1.55236i | 1.01090 | − | 0.0832152i | ||||
\(349\) | −17.2954 | − | 14.5126i | −0.925803 | − | 0.776841i | 0.0492565 | − | 0.998786i | \(-0.484315\pi\) |
−0.975059 | + | 0.221946i | \(0.928759\pi\) | |||||||
\(350\) | 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 | 0.999237 | + | 0.0390490i | \(0.0124328\pi\) |
0.211972 | + | 0.977276i | \(0.432012\pi\) | |||||||
\(354\) | −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 | −0.986970 | − | 0.160906i | \(-0.948558\pi\) |
0.632834 | + | 0.774288i | \(0.281892\pi\) | |||||||
\(360\) | 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 | −0.529556 | − | 0.848275i | \(-0.677641\pi\) |
0.139597 | + | 0.990208i | \(0.455419\pi\) | |||||||
\(368\) | −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 | 0.0488939 | − | 0.998804i | \(-0.484430\pi\) |
−0.604564 | + | 0.796557i | \(0.706653\pi\) | |||||||
\(374\) | 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 | 0.558631 | − | 0.829416i | \(-0.311327\pi\) |
−0.105202 | + | 0.994451i | \(0.533549\pi\) | |||||||
\(384\) | −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 | −0.280614 | − | 0.959821i | \(-0.590538\pi\) |
0.401998 | + | 0.915641i | \(0.368316\pi\) | |||||||
\(390\) | 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 | −0.816222 | − | 0.577739i | \(-0.803935\pi\) |
0.908447 | + | 0.417999i | \(0.137269\pi\) | |||||||
\(398\) | 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 | 0.971220 | + | 0.238182i | \(0.0765516\pi\) |
−0.831186 | + | 0.555995i | \(0.812337\pi\) | |||||||
\(402\) | −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 | 0.998517 | + | 0.0544462i | \(0.0173393\pi\) |
−0.919677 | + | 0.392676i | \(0.871550\pi\) | |||||||
\(410\) | 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 | −0.763967 | − | 0.645256i | \(-0.776751\pi\) |
0.502791 | + | 0.864408i | \(0.332306\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.9525 | + | 10.5379i | −1.41106 | + | 0.513584i | −0.931441 | − | 0.363894i | \(-0.881447\pi\) |
−0.479619 | + | 0.877477i | \(0.659225\pi\) | |||||||
\(422\) | −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 | 0.712968 | + | 0.701197i | \(0.247351\pi\) |
−0.909794 | + | 0.415060i | \(0.863761\pi\) | |||||||
\(440\) | 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 | 0.236894 | − | 0.971536i | \(-0.423871\pi\) |
0.805962 | + | 0.591967i | \(0.201648\pi\) | |||||||
\(444\) | 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 | 0.803552 | − | 0.595235i | \(-0.202941\pi\) |
−0.917264 | + | 0.398279i | \(0.869608\pi\) | |||||||
\(450\) | 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 | 0.726242 | − | 0.687439i | \(-0.241265\pi\) |
−0.550885 | + | 0.834581i | \(0.685710\pi\) | |||||||
\(458\) | −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 | 0.986797 | − | 0.161963i | \(-0.0517824\pi\) |
0.0118535 | + | 0.999930i | \(0.496227\pi\) | |||||||
\(462\) | −1.12584 | + | 0.0926768i | −0.0523789 | + | 0.00431171i | ||||
\(463\) | 4.77104 | + | 27.0579i | 0.221729 | + | 1.25749i | 0.868840 | + | 0.495093i | \(0.164866\pi\) |
−0.647111 | + | 0.762396i | \(0.724023\pi\) | |||||||
\(464\) | −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 | −0.999953 | − | 0.00968963i | \(-0.996916\pi\) |
0.508368 | + | 0.861140i | \(0.330249\pi\) | |||||||
\(468\) | −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 | 0.135560 | + | 0.990769i | \(0.456717\pi\) |
−0.466248 | + | 0.884654i | \(0.654394\pi\) | |||||||
\(480\) | 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 | 0.986660 | − | 0.162793i | \(-0.0520504\pi\) |
0.651184 | + | 0.758920i | \(0.274273\pi\) | |||||||
\(492\) | −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 | −0.709930 | − | 0.704272i | \(-0.751274\pi\) |
0.570295 | + | 0.821440i | \(0.306829\pi\) | |||||||
\(500\) | 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 | 0.825307 | − | 0.564684i | \(-0.191002\pi\) |
−0.901684 | + | 0.432395i | \(0.857669\pi\) | |||||||
\(504\) | 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 | −0.994933 | − | 0.100542i | \(-0.967942\pi\) |
0.900543 | − | 0.434766i | \(-0.143169\pi\) | |||||||
\(510\) | 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 | −0.978030 | − | 0.208465i | \(-0.933153\pi\) |
0.669551 | + | 0.742766i | \(0.266487\pi\) | |||||||
\(522\) | 27.4943 | + | 5.13962i | 1.20339 | + | 0.224955i | ||||
\(523\) | 4.88956 | + | 8.46897i | 0.213806 | + | 0.370322i | 0.952902 | − | 0.303277i | \(-0.0980808\pi\) |
−0.739097 | + | 0.673599i | \(0.764747\pi\) | |||||||
\(524\) | 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 | −0.988652 | − | 0.150224i | \(-0.952001\pi\) |
0.980409 | + | 0.196975i | \(0.0631117\pi\) | |||||||
\(548\) | 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 | 0.951422 | + | 0.307890i | \(0.0996230\pi\) |
−0.209070 | + | 0.977901i | \(0.567044\pi\) | |||||||
\(558\) | 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 | 0.709741 | + | 0.704463i | \(0.248812\pi\) |
−0.425998 | + | 0.904724i | \(0.640077\pi\) | |||||||
\(564\) | 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 | −0.0940904 | − | 0.995564i | \(-0.529994\pi\) |
−0.996777 | + | 0.0802169i | \(0.974439\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.75191 | + | 9.93559i | 0.0733153 | + | 0.415792i | 0.999272 | + | 0.0381610i | \(0.0121500\pi\) |
−0.925956 | + | 0.377631i | \(0.876739\pi\) | |||||||
\(572\) | 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 | 0.711687 | − | 0.702497i | \(-0.247932\pi\) |
−0.964224 | + | 0.265090i | \(0.914598\pi\) | |||||||
\(578\) | 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 | 0.630189 | + | 0.776442i | \(0.282977\pi\) |
−0.857743 | + | 0.514079i | \(0.828134\pi\) | |||||||
\(588\) | −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 | 0.985086 | − | 0.172063i | \(-0.0550432\pi\) |
0.644020 | + | 0.765009i | \(0.277265\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.43906 | + | 19.5039i | −0.140282 | + | 0.795579i | 0.830753 | + | 0.556641i | \(0.187910\pi\) |
−0.971035 | + | 0.238938i | \(0.923201\pi\) | |||||||
\(602\) | −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 | 0.120741 | − | 0.992684i | \(-0.461473\pi\) |
0.998569 | + | 0.0534715i | \(0.0170286\pi\) | |||||||
\(608\) | −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 | −0.464780 | − | 0.885426i | \(-0.653867\pi\) |
0.999192 | − | 0.0402013i | \(-0.0127999\pi\) | |||||||
\(614\) | 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 | −0.319425 | − | 0.947611i | \(-0.603490\pi\) |
−0.0239406 | − | 0.999713i | \(-0.507621\pi\) | |||||||
\(618\) | 15.4342 | − | 32.6599i | 0.620853 | − | 1.31377i | ||||
\(619\) | −18.5430 | − | 15.5595i | −0.745307 | − | 0.625387i | 0.188950 | − | 0.981987i | \(-0.439492\pi\) |
−0.934257 | + | 0.356600i | \(0.883936\pi\) | |||||||
\(620\) | 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 | 0.634393 | − | 0.773010i | \(-0.281250\pi\) |
−0.986643 | + | 0.162895i | \(0.947917\pi\) | |||||||
\(632\) | 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 | −0.519278 | − | 0.854605i | \(-0.673799\pi\) |
0.780254 | − | 0.625463i | \(-0.215090\pi\) | |||||||
\(642\) | 1.74911 | − | 18.8758i | 0.0690319 | − | 0.744968i | ||||
\(643\) | 44.1115 | + | 16.0553i | 1.73959 | + | 0.633158i | 0.999237 | − | 0.0390615i | \(-0.0124368\pi\) |
0.740352 | + | 0.672220i | \(0.234659\pi\) | |||||||
\(644\) | 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 | 0.896460 | − | 0.443125i | \(-0.146130\pi\) |
0.401893 | + | 0.915687i | \(0.368353\pi\) | |||||||
\(654\) | 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 | −0.962689 | − | 0.270609i | \(-0.912775\pi\) |
−0.563519 | + | 0.826103i | \(0.690553\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.975874 | − | 0.818856i | 0.0379571 | − | 0.0318498i | −0.623612 | − | 0.781734i | \(-0.714335\pi\) |
0.661569 | + | 0.749884i | \(0.269891\pi\) | |||||||
\(662\) | −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 | −0.0588715 | − | 0.998266i | \(-0.518750\pi\) |
−0.993323 | + | 0.115370i | \(0.963195\pi\) | |||||||
\(674\) | 27.4951 | 1.05907 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.5561 | −1.02139 | ||||||||
\(677\) | −13.7902 | − | 11.5714i | −0.530002 | − | 0.444725i | 0.338100 | − | 0.941110i | \(-0.390216\pi\) |
−0.868102 | + | 0.496386i | \(0.834660\pi\) | |||||||
\(678\) | −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 | −0.181768 | − | 0.983341i | \(-0.558182\pi\) |
0.942483 | − | 0.334255i | \(-0.108485\pi\) | |||||||
\(684\) | 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 | −0.0229909 | − | 0.999736i | \(-0.507319\pi\) |
0.625006 | + | 0.780620i | \(0.285097\pi\) | |||||||
\(692\) | −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 | −0.866747 | − | 0.498748i | \(-0.833793\pi\) |
0.985058 | − | 0.172225i | \(-0.0550955\pi\) | |||||||
\(710\) | 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 | −0.994401 | − | 0.105675i | \(-0.966300\pi\) |
0.405683 | − | 0.914014i | \(-0.367034\pi\) | |||||||
\(720\) | 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 | −0.0944407 | − | 0.995530i | \(-0.530106\pi\) |
−0.996806 | + | 0.0798662i | \(0.974551\pi\) | |||||||
\(728\) | −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 | 0.913081 | + | 0.407778i | \(0.133696\pi\) |
−0.718547 | + | 0.695478i | \(0.755193\pi\) | |||||||
\(734\) | −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 | 0.759256 | − | 0.650792i | \(-0.225563\pi\) |
−0.943230 | + | 0.332139i | \(0.892230\pi\) | |||||||
\(740\) | 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 | −0.989554 | − | 0.144160i | \(-0.953952\pi\) |
−0.0298642 | + | 0.999554i | \(0.509507\pi\) | |||||||
\(744\) | 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 | 0.579274 | − | 0.815133i | \(-0.303336\pi\) |
−0.0802073 | + | 0.996778i | \(0.525558\pi\) | |||||||
\(752\) | −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 | −0.0658978 | − | 0.997826i | \(-0.520991\pi\) |
−0.691871 | + | 0.722021i | \(0.743213\pi\) | |||||||
\(762\) | 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 | −0.434230 | − | 0.900802i | \(-0.642979\pi\) |
0.811714 | + | 0.584056i | \(0.198535\pi\) | |||||||
\(770\) | 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 | 0.618351 | − | 0.785902i | \(-0.287801\pi\) |
−0.989787 | + | 0.142557i | \(0.954468\pi\) | |||||||
\(774\) | −23.0983 | + | 26.9604i |