Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(49,675)]
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, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.u (of order \(18\), degree \(6\), not 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: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 675.49 |
Dual form | 675.2.u.b.124.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36054 | − | 1.62143i | −0.962046 | − | 1.14652i | −0.989153 | − | 0.146889i | \(-0.953074\pi\) |
0.0271067 | − | 0.999633i | \(-0.491371\pi\) | |||||||
\(3\) | 1.42389 | + | 0.986166i | 0.822086 | + | 0.569363i | ||||
\(4\) | −0.430663 | + | 2.44241i | −0.215332 | + | 1.22121i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.338267 | − | 3.65046i | −0.138097 | − | 1.49029i | ||||
\(7\) | −0.957561 | + | 0.168844i | −0.361924 | + | 0.0638170i | −0.351653 | − | 0.936130i | \(-0.614380\pi\) |
−0.0102706 | + | 0.999947i | \(0.503269\pi\) | |||||||
\(8\) | 0.880031 | − | 0.508086i | 0.311138 | − | 0.179636i | ||||
\(9\) | 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 | \(0.595898\pi\) | |||||||
\(12\) | −3.02185 | + | 3.05303i | −0.872332 | + | 0.881335i | ||||
\(13\) | −0.973200 | + | 1.15981i | −0.269917 | + | 0.321675i | −0.883928 | − | 0.467623i | \(-0.845111\pi\) |
0.614011 | + | 0.789297i | \(0.289555\pi\) | |||||||
\(14\) | 1.57657 | + | 1.32290i | 0.421355 | + | 0.353559i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.63991 | + | 0.960847i | 0.659977 | + | 0.240212i | ||||
\(17\) | −1.01731 | − | 0.587342i | −0.246733 | − | 0.142451i | 0.371534 | − | 0.928419i | \(-0.378832\pi\) |
−0.618267 | + | 0.785968i | \(0.712165\pi\) | |||||||
\(18\) | 3.11830 | − | 5.53146i | 0.734991 | − | 1.30378i | ||||
\(19\) | 3.11040 | + | 5.38737i | 0.713575 | + | 1.23595i | 0.963507 | + | 0.267685i | \(0.0862586\pi\) |
−0.249931 | + | 0.968264i | \(0.580408\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.52997 | − | 0.703898i | −0.333868 | − | 0.153603i | ||||
\(22\) | −0.229414 | − | 0.630310i | −0.0489113 | − | 0.134383i | ||||
\(23\) | −2.12988 | − | 0.375556i | −0.444112 | − | 0.0783089i | −0.0528796 | − | 0.998601i | \(-0.516840\pi\) |
−0.391232 | + | 0.920292i | \(0.627951\pi\) | |||||||
\(24\) | 1.75413 | + | 0.144396i | 0.358060 | + | 0.0294747i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.20463 | 0.628480 | ||||||||
\(27\) | −1.26740 | + | 5.03922i | −0.243912 | + | 0.969797i | ||||
\(28\) | − | 2.41147i | − | 0.455726i | ||||||
\(29\) | 3.37436 | − | 2.83142i | 0.626602 | − | 0.525782i | −0.273269 | − | 0.961938i | \(-0.588105\pi\) |
0.899871 | + | 0.436156i | \(0.143660\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50609 | + | 8.54146i | −0.270502 | + | 1.53409i | 0.482395 | + | 0.875954i | \(0.339767\pi\) |
−0.752897 | + | 0.658138i | \(0.771344\pi\) | |||||||
\(32\) | −2.72885 | − | 7.49746i | −0.482398 | − | 1.32538i | ||||
\(33\) | 0.317135 | + | 0.448003i | 0.0552061 | + | 0.0779872i | ||||
\(34\) | 0.431752 | + | 2.44859i | 0.0740449 | + | 0.419930i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.31359 | + | 1.36716i | −1.21893 | + | 0.227859i | ||||
\(37\) | 3.86823 | + | 2.23332i | 0.635933 | + | 0.367156i | 0.783046 | − | 0.621964i | \(-0.213665\pi\) |
−0.147113 | + | 0.989120i | \(0.546998\pi\) | |||||||
\(38\) | 4.50341 | − | 12.3730i | 0.730550 | − | 2.00717i | ||||
\(39\) | −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 | \(0.571349\pi\) | |||||||
\(42\) | 0.940269 | + | 3.43842i | 0.145087 | + | 0.530560i | ||||
\(43\) | −1.91223 | + | 5.25381i | −0.291613 | + | 0.801199i | 0.704219 | + | 0.709983i | \(0.251298\pi\) |
−0.995831 | + | 0.0912158i | \(0.970925\pi\) | |||||||
\(44\) | −0.392973 | + | 0.680649i | −0.0592429 | + | 0.102612i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.28885 | + | 3.96441i | 0.337473 | + | 0.584521i | ||||
\(47\) | 2.43845 | − | 0.429965i | 0.355685 | − | 0.0627168i | 0.00704911 | − | 0.999975i | \(-0.497756\pi\) |
0.348636 | + | 0.937258i | \(0.386645\pi\) | |||||||
\(48\) | 2.81139 | + | 3.97153i | 0.405790 | + | 0.573241i | ||||
\(49\) | −5.68943 | + | 2.07078i | −0.812776 | + | 0.295826i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.869320 | − | 1.83955i | −0.121729 | − | 0.257588i | ||||
\(52\) | −2.41362 | − | 2.87645i | −0.334710 | − | 0.398891i | ||||
\(53\) | 10.8920i | 1.49613i | 0.663628 | + | 0.748063i | \(0.269016\pi\) | ||||
−0.663628 | + | 0.748063i | \(0.730984\pi\) | |||||||
\(54\) | 9.89507 | − | 4.80105i | 1.34655 | − | 0.653340i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.756896 | + | 0.635111i | −0.101145 | + | 0.0848703i | ||||
\(57\) | −0.883963 | + | 10.7384i | −0.117084 | + | 1.42234i | ||||
\(58\) | −9.18189 | − | 1.61901i | −1.20564 | − | 0.212587i | ||||
\(59\) | −1.62023 | + | 0.589715i | −0.210936 | + | 0.0767743i | −0.445327 | − | 0.895368i | \(-0.646913\pi\) |
0.234391 | + | 0.972142i | \(0.424690\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.176214 | + | 0.999361i | 0.0225619 | + | 0.127955i | 0.994008 | − | 0.109304i | \(-0.0348621\pi\) |
−0.971446 | + | 0.237259i | \(0.923751\pi\) | |||||||
\(62\) | 15.8985 | − | 9.17898i | 2.01911 | − | 1.16573i | ||||
\(63\) | −1.48436 | − | 2.51109i | −0.187012 | − | 0.316367i | ||||
\(64\) | −5.63455 | + | 9.75933i | −0.704319 | + | 1.21992i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.294929 | − | 1.12374i | 0.0363033 | − | 0.138322i | ||||
\(67\) | −0.550580 | + | 0.656156i | −0.0672641 | + | 0.0801622i | −0.798627 | − | 0.601826i | \(-0.794440\pi\) |
0.731363 | + | 0.681988i | \(0.238884\pi\) | |||||||
\(68\) | 1.87265 | − | 2.23174i | 0.227092 | − | 0.270638i | ||||
\(69\) | −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 | \(-0.0261593\pi\) | |||||||
\(72\) | 2.35530 | + | 1.93547i | 0.277574 | + | 0.228097i | ||||
\(73\) | 13.1998 | − | 7.62091i | 1.54492 | − | 0.891960i | 0.546404 | − | 0.837522i | \(-0.315996\pi\) |
0.998517 | − | 0.0544385i | \(-0.0173369\pi\) | |||||||
\(74\) | −1.64171 | − | 9.31057i | −0.190844 | − | 1.08233i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −14.4977 | + | 5.27674i | −1.66300 | + | 0.605284i | ||||
\(77\) | −0.303453 | − | 0.0535070i | −0.0345817 | − | 0.00609768i | ||||
\(78\) | 4.56306 | + | 3.16030i | 0.516664 | + | 0.357833i | ||||
\(79\) | 8.59024 | − | 7.20807i | 0.966478 | − | 0.810971i | −0.0155168 | − | 0.999880i | \(-0.504939\pi\) |
0.981995 | + | 0.188908i | \(0.0604949\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.77415 | + | 5.92544i | −0.752684 | + | 0.658382i | ||||
\(82\) | − | 12.3721i | − | 1.36626i | ||||||
\(83\) | −3.01141 | − | 3.58886i | −0.330546 | − | 0.393929i | 0.575017 | − | 0.818141i | \(-0.304995\pi\) |
−0.905563 | + | 0.424212i | \(0.860551\pi\) | |||||||
\(84\) | 2.37811 | − | 3.43369i | 0.259474 | − | 0.374646i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 11.1203 | − | 4.04747i | 1.19914 | − | 0.436450i | ||||
\(87\) | 7.59698 | − | 0.703969i | 0.814482 | − | 0.0754734i | ||||
\(88\) | 0.317135 | − | 0.0559194i | 0.0338067 | − | 0.00596103i | ||||
\(89\) | −7.74976 | − | 13.4230i | −0.821473 | − | 1.42283i | −0.904586 | − | 0.426292i | \(-0.859820\pi\) |
0.0831130 | − | 0.996540i | \(-0.473514\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.736071 | − | 1.27491i | 0.0771612 | − | 0.133647i | ||||
\(92\) | 1.83453 | − | 5.04032i | 0.191263 | − | 0.525490i | ||||
\(93\) | −10.5678 | + | 10.6769i | −1.09583 | + | 1.10714i | ||||
\(94\) | −4.01476 | − | 3.36879i | −0.414091 | − | 0.347464i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.50815 | − | 13.3667i | 0.358049 | − | 1.36423i | ||||
\(97\) | −1.89804 | + | 5.21481i | −0.192716 | + | 0.529484i | −0.997987 | − | 0.0634241i | \(-0.979798\pi\) |
0.805270 | + | 0.592908i | \(0.202020\pi\) | |||||||
\(98\) | 11.0983 | + | 6.40762i | 1.12110 | + | 0.647267i | ||||
\(99\) | 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 | \(-0.223855\pi\) | |||||||
\(102\) | −1.79995 | + | 3.91231i | −0.178221 | + | 0.387377i | ||||
\(103\) | −3.37002 | − | 9.25906i | −0.332058 | − | 0.912323i | −0.987576 | − | 0.157143i | \(-0.949772\pi\) |
0.655518 | − | 0.755180i | \(-0.272451\pi\) | |||||||
\(104\) | −0.267160 | + | 1.51514i | −0.0261972 | + | 0.148572i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 17.6605 | − | 14.8189i | 1.71534 | − | 1.43934i | ||||
\(107\) | 5.17080i | 0.499880i | 0.968261 | + | 0.249940i | \(0.0804109\pi\) | ||||
−0.968261 | + | 0.249940i | \(0.919589\pi\) | |||||||
\(108\) | −11.7620 | − | 5.26573i | −1.13180 | − | 0.506695i | ||||
\(109\) | 7.31065 | 0.700234 | 0.350117 | − | 0.936706i | \(-0.386142\pi\) | ||||
0.350117 | + | 0.936706i | \(0.386142\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.30552 | + | 6.99473i | 0.313746 | + | 0.663911i | ||||
\(112\) | −2.69010 | − | 0.474338i | −0.254191 | − | 0.0448207i | ||||
\(113\) | 3.54868 | + | 9.74991i | 0.333832 | + | 0.917195i | 0.987105 | + | 0.160073i | \(0.0511729\pi\) |
−0.653274 | + | 0.757122i | \(0.726605\pi\) | |||||||
\(114\) | 18.6142 | − | 13.1768i | 1.74338 | − | 1.23412i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 5.46229 | + | 9.46096i | 0.507161 | + | 0.878428i | ||||
\(117\) | −4.28390 | − | 1.50958i | −0.396046 | − | 0.139561i | ||||
\(118\) | 3.16056 | + | 1.82475i | 0.290953 | + | 0.167982i | ||||
\(119\) | 1.07330 | + | 0.390650i | 0.0983894 | + | 0.0358108i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.34956 | − | 7.00611i | −0.759051 | − | 0.636919i | ||||
\(122\) | 1.38064 | − | 1.64539i | 0.124998 | − | 0.148966i | ||||
\(123\) | 2.67050 | + | 9.76560i | 0.240790 | + | 0.880535i | ||||
\(124\) | −20.2132 | − | 7.35699i | −1.81520 | − | 0.660677i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.05201 | + | 5.82321i | −0.182808 | + | 0.518773i | ||||
\(127\) | 4.52709 | − | 2.61372i | 0.401714 | − | 0.231930i | −0.285509 | − | 0.958376i | \(-0.592163\pi\) |
0.687223 | + | 0.726446i | \(0.258829\pi\) | |||||||
\(128\) | 7.77522 | − | 1.37098i | 0.687239 | − | 0.121179i | ||||
\(129\) | −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 | \(0.953205\pi\) | |||||||
\(132\) | −1.23079 | + | 0.581636i | −0.107126 | + | 0.0506249i | ||||
\(133\) | −3.88802 | − | 4.63357i | −0.337134 | − | 0.401781i | ||||
\(134\) | 1.81300 | 0.156619 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.19368 | −0.102357 | ||||||||
\(137\) | 7.23092 | + | 8.61748i | 0.617779 | + | 0.736241i | 0.980687 | − | 0.195584i | \(-0.0626603\pi\) |
−0.362907 | + | 0.931825i | \(0.618216\pi\) | |||||||
\(138\) | −0.650482 | + | 7.90210i | −0.0553727 | + | 0.672671i | ||||
\(139\) | −1.62885 | + | 9.23766i | −0.138157 | + | 0.783528i | 0.834452 | + | 0.551081i | \(0.185784\pi\) |
−0.972609 | + | 0.232447i | \(0.925327\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.89612 | + | 1.79249i | 0.328112 | + | 0.150955i | ||||
\(142\) | −20.0021 | + | 3.52690i | −1.67854 | + | 0.295971i | ||||
\(143\) | −0.415518 | + | 0.239900i | −0.0347474 | + | 0.0200614i | ||||
\(144\) | 0.0865360 | + | 8.42754i | 0.00721133 | + | 0.702295i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −30.3156 | − | 11.0340i | −2.50894 | − | 0.913179i | ||||
\(147\) | −10.1433 | − | 2.66215i | −0.836605 | − | 0.219570i | ||||
\(148\) | −7.12060 | + | 8.48600i | −0.585310 | + | 0.697545i | ||||
\(149\) | −14.5941 | − | 12.2459i | −1.19560 | − | 1.00322i | −0.999745 | − | 0.0225899i | \(-0.992809\pi\) |
−0.195851 | − | 0.980634i | \(-0.562747\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.77193 | − | 1.37287i | −0.306955 | − | 0.111723i | 0.183950 | − | 0.982936i | \(-0.441112\pi\) |
−0.490905 | + | 0.871213i | \(0.663334\pi\) | |||||||
\(152\) | 5.47450 | + | 3.16070i | 0.444041 | + | 0.256367i | ||||
\(153\) | 0.576279 | − | 3.47661i | 0.0465894 | − | 0.281068i | ||||
\(154\) | 0.326102 | + | 0.564825i | 0.0262780 | + | 0.0455149i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.600093 | − | 6.47599i | −0.0480459 | − | 0.518494i | ||||
\(157\) | −2.48851 | − | 6.83713i | −0.198605 | − | 0.545662i | 0.799911 | − | 0.600118i | \(-0.204880\pi\) |
−0.998516 | + | 0.0544560i | \(0.982658\pi\) | |||||||
\(158\) | −23.3747 | − | 4.12159i | −1.85959 | − | 0.327896i | ||||
\(159\) | −10.7413 | + | 15.5090i | −0.851839 | + | 1.22994i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.10290 | 0.165732 | ||||||||
\(162\) | 18.8242 | + | 2.92200i | 1.47897 | + | 0.229574i | ||||
\(163\) | − | 12.4492i | − | 0.975094i | −0.873097 | − | 0.487547i | \(-0.837892\pi\) | ||
0.873097 | − | 0.487547i | \(-0.162108\pi\) | |||||||
\(164\) | −11.1050 | + | 9.31823i | −0.867157 | + | 0.727632i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.72194 | + | 9.76558i | −0.133648 | + | 0.757956i | ||||
\(167\) | 0.797553 | + | 2.19126i | 0.0617165 | + | 0.169565i | 0.966718 | − | 0.255843i | \(-0.0823530\pi\) |
−0.905002 | + | 0.425408i | \(0.860131\pi\) | |||||||
\(168\) | −1.70407 | + | 0.157906i | −0.131472 | + | 0.0121827i | ||||
\(169\) | 1.85937 | + | 10.5450i | 0.143029 | + | 0.811157i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.8485 | + | 14.4187i | −0.906081 | + | 1.10262i | ||||
\(172\) | −12.0085 | − | 6.93308i | −0.915636 | − | 0.528643i | ||||
\(173\) | 1.22521 | − | 3.36623i | 0.0931509 | − | 0.255930i | −0.884363 | − | 0.466799i | \(-0.845407\pi\) |
0.977514 | + | 0.210869i | \(0.0676294\pi\) | |||||||
\(174\) | −11.4774 | − | 11.3602i | −0.870101 | − | 0.861213i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.681996 | + | 0.572262i | 0.0514074 | + | 0.0431359i | ||||
\(177\) | −2.88859 | − | 0.758123i | −0.217120 | − | 0.0569840i | ||||
\(178\) | −11.2205 | + | 30.8281i | −0.841014 | + | 2.31067i | ||||
\(179\) | −9.99785 | + | 17.3168i | −0.747275 | + | 1.29432i | 0.201850 | + | 0.979416i | \(0.435305\pi\) |
−0.949124 | + | 0.314901i | \(0.898029\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.86616 | − | 8.42844i | −0.361699 | − | 0.626481i | 0.626542 | − | 0.779388i | \(-0.284470\pi\) |
−0.988241 | + | 0.152907i | \(0.951136\pi\) | |||||||
\(182\) | −3.06863 | + | 0.541082i | −0.227462 | + | 0.0401077i | ||||
\(183\) | −0.734626 | + | 1.59676i | −0.0543051 | + | 0.118036i | ||||
\(184\) | −2.06518 | + | 0.751664i | −0.152247 | + | 0.0554134i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 31.6897 | + | 2.60862i | 2.32360 | + | 0.191274i | ||||
\(187\) | −0.239284 | − | 0.285168i | −0.0174982 | − | 0.0208535i | ||||
\(188\) | 6.14088i | 0.447869i | ||||||||
\(189\) | 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 | \(0.499843\pi\) | ||||||||
\(192\) | −17.6473 | + | 8.33965i | −1.27359 | + | 0.601862i | ||||
\(193\) | −10.4235 | − | 1.83795i | −0.750303 | − | 0.132299i | −0.214596 | − | 0.976703i | \(-0.568844\pi\) |
−0.535706 | + | 0.844404i | \(0.679955\pi\) | |||||||
\(194\) | 11.0378 | − | 4.01743i | 0.792467 | − | 0.288434i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.60748 | − | 14.7878i | −0.186249 | − | 1.05627i | ||||
\(197\) | 12.2620 | − | 7.07945i | 0.873628 | − | 0.504390i | 0.00507615 | − | 0.999987i | \(-0.498384\pi\) |
0.868552 | + | 0.495597i | \(0.165051\pi\) | |||||||
\(198\) | 1.52814 | − | 1.30923i | 0.108600 | − | 0.0930431i | ||||
\(199\) | 3.77010 | − | 6.53000i | 0.267255 | − | 0.462899i | −0.700897 | − | 0.713263i | \(-0.747217\pi\) |
0.968152 | + | 0.250363i | \(0.0805501\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.43105 | + | 0.391333i | −0.100938 | + | 0.0276025i | ||||
\(202\) | −13.7946 | + | 16.4397i | −0.970582 | + | 1.15669i | ||||
\(203\) | −2.75308 | + | 3.28100i | −0.193229 | + | 0.230281i | ||||
\(204\) | 4.86732 | − | 1.33101i | 0.340780 | − | 0.0931896i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.4278 | + | 18.0616i | −0.726543 | + | 1.25841i | ||||
\(207\) | −1.19222 | − | 6.37775i | −0.0828648 | − | 0.443284i | ||||
\(208\) | −3.68356 | + | 2.12670i | −0.255409 | + | 0.147460i | ||||
\(209\) | 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 | \(0.446324\pi\) | |||||||
\(212\) | −26.6027 | − | 4.69077i | −1.82708 | − | 0.322163i | ||||
\(213\) | 15.0269 | − | 7.10131i | 1.02963 | − | 0.486573i | ||||
\(214\) | 8.38408 | − | 7.03508i | 0.573124 | − | 0.480908i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.44500 | + | 5.07862i | 0.0983199 | + | 0.345556i | ||||
\(217\) | − | 8.43326i | − | 0.572487i | ||||||
\(218\) | −9.94643 | − | 11.8537i | −0.673657 | − | 0.802833i | ||||
\(219\) | 26.3106 | + | 2.16583i | 1.77791 | + | 0.146353i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.67125 | − | 0.608285i | 0.112420 | − | 0.0409177i | ||||
\(222\) | 6.84416 | − | 14.8763i | 0.459350 | − | 0.998430i | ||||
\(223\) | 17.4250 | − | 3.07250i | 1.16686 | − | 0.205750i | 0.443537 | − | 0.896256i | \(-0.353723\pi\) |
0.723326 | + | 0.690506i | \(0.242612\pi\) | |||||||
\(224\) | 3.87894 | + | 6.71853i | 0.259173 | + | 0.448901i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.9807 | − | 19.0191i | 0.730423 | − | 1.26513i | ||||
\(227\) | −5.39434 | + | 14.8208i | −0.358035 | + | 0.983692i | 0.621676 | + | 0.783275i | \(0.286452\pi\) |
−0.979711 | + | 0.200418i | \(0.935770\pi\) | |||||||
\(228\) | −25.8470 | − | 6.78365i | −1.71176 | − | 0.449258i | ||||
\(229\) | 1.35350 | + | 1.13572i | 0.0894415 | + | 0.0750504i | 0.686412 | − | 0.727213i | \(-0.259185\pi\) |
−0.596971 | + | 0.802263i | \(0.703629\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.379318 | − | 0.375443i | −0.0249573 | − | 0.0247024i | ||||
\(232\) | 1.53093 | − | 4.20620i | 0.100511 | − | 0.276151i | ||||
\(233\) | −12.0364 | − | 6.94920i | −0.788529 | − | 0.455257i | 0.0509157 | − | 0.998703i | \(-0.483786\pi\) |
−0.839444 | + | 0.543446i | \(0.817119\pi\) | |||||||
\(234\) | 3.38073 | + | 8.99987i | 0.221005 | + | 0.588340i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.742554 | − | 4.21123i | −0.0483362 | − | 0.274128i | ||||
\(237\) | 19.3400 | − | 1.79212i | 1.25627 | − | 0.116411i | ||||
\(238\) | −0.826858 | − | 2.27177i | −0.0535973 | − | 0.147257i | ||||
\(239\) | 3.44391 | − | 19.5314i | 0.222768 | − | 1.26338i | −0.644138 | − | 0.764909i | \(-0.722784\pi\) |
0.866906 | − | 0.498471i | \(-0.166105\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.8419 | − | 12.4538i | 0.956050 | − | 0.802221i | −0.0242563 | − | 0.999706i | \(-0.507722\pi\) |
0.980306 | + | 0.197485i | \(0.0632773\pi\) | |||||||
\(242\) | 23.0703i | 1.48301i | ||||||||
\(243\) | −15.4892 | + | 1.75676i | −0.993629 | + | 0.112696i | ||||
\(244\) | −2.51674 | −0.161118 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.2009 | − | 17.6165i | 0.777901 | − | 1.12319i | ||||
\(247\) | −9.27540 | − | 1.63550i | −0.590179 | − | 0.104065i | ||||
\(248\) | 3.01439 | + | 8.28198i | 0.191414 | + | 0.525906i | ||||
\(249\) | −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 | \(0.778048\pi\) | |||||||
\(252\) | 6.77237 | − | 2.54399i | 0.426619 | − | 0.160256i | ||||
\(253\) | −0.593554 | − | 0.342689i | −0.0373164 | − | 0.0215447i | ||||
\(254\) | −10.3972 | − | 3.78428i | −0.652380 | − | 0.237447i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.46383 | + | 3.74560i | 0.278989 | + | 0.234100i | ||||
\(257\) | 7.43395 | − | 8.85943i | 0.463717 | − | 0.552636i | −0.482615 | − | 0.875833i | \(-0.660313\pi\) |
0.946332 | + | 0.323196i | \(0.104757\pi\) | |||||||
\(258\) | 19.8257 | + | 5.20333i | 1.23429 | + | 0.323945i | ||||
\(259\) | −4.08115 | − | 1.48542i | −0.253590 | − | 0.0922993i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.5115 | + | 6.48951i | 0.712546 | + | 0.401691i | ||||
\(262\) | 13.2608 | − | 7.65614i | 0.819257 | − | 0.472998i | ||||
\(263\) | 6.37952 | − | 1.12488i | 0.393378 | − | 0.0693632i | 0.0265395 | − | 0.999648i | \(-0.491551\pi\) |
0.366839 | + | 0.930285i | \(0.380440\pi\) | |||||||
\(264\) | 0.506712 | + | 0.233124i | 0.0311860 | + | 0.0143478i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.22318 | + | 12.6083i | −0.136312 | + | 0.773064i | ||||
\(267\) | 2.20245 | − | 26.7554i | 0.134788 | − | 1.63741i | ||||
\(268\) | −1.36549 | − | 1.62733i | −0.0834106 | − | 0.0994048i | ||||
\(269\) | 13.8387 | 0.843758 | 0.421879 | − | 0.906652i | \(-0.361371\pi\) | ||||
0.421879 | + | 0.906652i | \(0.361371\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.94536 | 0.118172 | 0.0590860 | − | 0.998253i | \(-0.481181\pi\) | ||||
0.0590860 | + | 0.998253i | \(0.481181\pi\) | |||||||
\(272\) | −2.12125 | − | 2.52800i | −0.128619 | − | 0.153283i | ||||
\(273\) | 2.30536 | − | 1.08945i | 0.139527 | − | 0.0659366i | ||||
\(274\) | 4.13466 | − | 23.4488i | 0.249784 | − | 1.41660i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.58277 | − | 5.36774i | 0.456429 | − | 0.323100i | ||||
\(277\) | −12.2832 | + | 2.16586i | −0.738026 | + | 0.130134i | −0.530010 | − | 0.847991i | \(-0.677812\pi\) |
−0.208016 | + | 0.978125i | \(0.566701\pi\) | |||||||
\(278\) | 17.1943 | − | 9.92713i | 1.03125 | − | 0.595390i | ||||
\(279\) | −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 | \(0.705097\pi\) | |||||||
\(282\) | −2.39442 | − | 8.75602i | −0.142585 | − | 0.521414i | ||||
\(283\) | 17.0797 | − | 20.3547i | 1.01528 | − | 1.20996i | 0.0377246 | − | 0.999288i | \(-0.487989\pi\) |
0.977556 | − | 0.210676i | \(-0.0675665\pi\) | |||||||
\(284\) | 18.2306 | + | 15.2973i | 1.08179 | + | 0.907728i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.954309 | + | 0.347340i | 0.0564295 | + | 0.0205386i | ||||
\(287\) | −4.92202 | − | 2.84173i | −0.290538 | − | 0.167742i | ||||
\(288\) | 18.1770 | − | 15.5732i | 1.07109 | − | 0.917657i | ||||
\(289\) | −7.81006 | − | 13.5274i | −0.459415 | − | 0.795730i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.84527 | + | 5.55356i | −0.459898 | + | 0.325556i | ||||
\(292\) | 12.9287 | + | 35.5214i | 0.756598 | + | 2.07873i | ||||
\(293\) | −12.0712 | − | 2.12849i | −0.705210 | − | 0.124347i | −0.190469 | − | 0.981693i | \(-0.561001\pi\) |
−0.514741 | + | 0.857346i | \(0.672112\pi\) | |||||||
\(294\) | 9.48386 | + | 20.0686i | 0.553110 | + | 1.17042i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 4.53888 | 0.263817 | ||||||||
\(297\) | −0.923606 | + | 1.36326i | −0.0535930 | + | 0.0791044i | ||||
\(298\) | 40.3243i | 2.33592i | ||||||||
\(299\) | 2.50838 | − | 2.10478i | 0.145063 | − | 0.121723i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.944004 | − | 5.35371i | 0.0544115 | − | 0.308583i | ||||
\(302\) | 2.90585 | + | 7.98375i | 0.167213 | + | 0.459413i | ||||
\(303\) | 7.33993 | − | 15.9539i | 0.421668 | − | 0.916526i | ||||
\(304\) | 3.03473 | + | 17.2108i | 0.174053 | + | 0.987106i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −6.42113 | + | 3.79567i | −0.367071 | + | 0.216984i | ||||
\(307\) | 22.9271 | + | 13.2370i | 1.30852 | + | 0.755475i | 0.981849 | − | 0.189663i | \(-0.0607396\pi\) |
0.326671 | + | 0.945138i | \(0.394073\pi\) | |||||||
\(308\) | 0.261372 | − | 0.718114i | 0.0148931 | − | 0.0409184i | ||||
\(309\) | 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 | \(0.889142\pi\) | |||||||
\(312\) | −1.87459 | + | 1.89394i | −0.106128 | + | 0.107223i | ||||
\(313\) | −3.29954 | + | 9.06541i | −0.186501 | + | 0.512407i | −0.997342 | − | 0.0728589i | \(-0.976788\pi\) |
0.810841 | + | 0.585266i | \(0.199010\pi\) | |||||||
\(314\) | −7.70019 | + | 13.3371i | −0.434547 | + | 0.752657i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.9056 | + | 24.0852i | 0.782250 | + | 1.35490i | ||||
\(317\) | 3.65412 | − | 0.644320i | 0.205236 | − | 0.0361886i | −0.0700850 | − | 0.997541i | \(-0.522327\pi\) |
0.275321 | + | 0.961352i | \(0.411216\pi\) | |||||||
\(318\) | 39.7606 | − | 3.68439i | 2.22967 | − | 0.206610i | ||||
\(319\) | 1.31174 | − | 0.477435i | 0.0734434 | − | 0.0267312i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.09927 | + | 7.36268i | −0.284614 | + | 0.410945i | ||||
\(322\) | −2.86108 | − | 3.40971i | −0.159442 | − | 0.190016i | ||||
\(323\) | − | 7.30748i | − | 0.406599i | ||||||
\(324\) | −11.5550 | − | 19.0972i | −0.641944 | − | 1.06095i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.1854 | + | 16.9376i | −1.11797 | + | 0.938085i | ||||
\(327\) | 10.4096 | + | 7.20952i | 0.575652 | + | 0.398687i | ||||
\(328\) | 5.84948 | + | 1.03142i | 0.322983 | + | 0.0569507i | ||||
\(329\) | −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 | \(0.956807\pi\) | |||||||
\(332\) | 10.0624 | − | 5.80953i | 0.552246 | − | 0.318839i | ||||
\(333\) | −2.19126 | + | 13.2196i | −0.120080 | + | 0.724427i | ||||
\(334\) | 2.46786 | − | 4.27446i | 0.135035 | − | 0.233888i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.36265 | − | 3.32830i | −0.183447 | − | 0.181573i | ||||
\(337\) | 8.34986 | − | 9.95097i | 0.454846 | − | 0.542064i | −0.489073 | − | 0.872243i | \(-0.662665\pi\) |
0.943918 | + | 0.330179i | \(0.107109\pi\) | |||||||
\(338\) | 14.5683 | − | 17.3618i | 0.792409 | − | 0.944356i | ||||
\(339\) | −4.56209 | + | 17.3824i | −0.247779 | + | 0.944084i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.37428 | + | 2.38033i | −0.0744215 | + | 0.128902i | ||||
\(342\) | 39.4992 | − | 0.405587i | 2.13587 | − | 0.0219316i | ||||
\(343\) | 10.9928 | − | 6.34669i | 0.593555 | − | 0.342689i | ||||
\(344\) | 0.986567 | + | 5.59510i | 0.0531921 | + | 0.301667i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.12504 | + | 2.59330i | −0.383045 | + | 0.139417i | ||||
\(347\) | −4.72753 | − | 0.833591i | −0.253787 | − | 0.0447495i | 0.0453070 | − | 0.998973i | \(-0.485573\pi\) |
−0.299094 | + | 0.954224i | \(0.596684\pi\) | |||||||
\(348\) | −1.55236 | + | 18.8581i | −0.0832152 | + | 1.01090i | ||||
\(349\) | 17.2954 | − | 14.5126i | 0.925803 | − | 0.776841i | −0.0492565 | − | 0.998786i | \(-0.515685\pi\) |
0.975059 | + | 0.221946i | \(0.0712407\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.61112 | − | 6.37412i | −0.246123 | − | 0.340225i | ||||
\(352\) | − | 2.52845i | − | 0.134767i | ||||||
\(353\) | 19.0950 | + | 22.7565i | 1.01632 | + | 1.21121i | 0.977276 | + | 0.211972i | \(0.0679884\pi\) |
0.0390490 | + | 0.999237i | \(0.487567\pi\) | |||||||
\(354\) | 2.70080 | + | 5.71509i | 0.143546 | + | 0.303754i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 36.1220 | − | 13.1473i | 1.91446 | − | 0.696807i | ||||
\(357\) | 1.14302 | + | 1.61470i | 0.0604952 | + | 0.0854589i | ||||
\(358\) | 41.6804 | − | 7.34937i | 2.20288 | − | 0.388427i | ||||
\(359\) | 6.70991 | + | 11.6219i | 0.354136 | + | 0.613381i | 0.986970 | − | 0.160906i | \(-0.0514418\pi\) |
−0.632834 | + | 0.774288i | \(0.718108\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.84920 | + | 17.0593i | −0.518379 | + | 0.897858i | ||||
\(362\) | −7.04550 | + | 19.3573i | −0.370303 | + | 1.01740i | ||||
\(363\) | −4.97970 | − | 18.2100i | −0.261366 | − | 0.955778i | ||||
\(364\) | 2.79686 | + | 2.34685i | 0.146595 | + | 0.123008i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.58852 | − | 0.981314i | 0.187575 | − | 0.0512941i | ||||
\(367\) | −2.71905 | + | 7.47054i | −0.141933 | + | 0.389959i | −0.990208 | − | 0.139597i | \(-0.955419\pi\) |
0.848275 | + | 0.529556i | \(0.177641\pi\) | |||||||
\(368\) | −5.26184 | − | 3.03793i | −0.274293 | − | 0.158363i | ||||
\(369\) | −5.82801 | + | 16.5387i | −0.303394 | + | 0.860973i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.83904 | − | 10.4297i | −0.0954782 | − | 0.541484i | ||||
\(372\) | −21.5262 | − | 30.4091i | −1.11608 | − | 1.57664i | ||||
\(373\) | −3.90604 | − | 10.7318i | −0.202247 | − | 0.555670i | 0.796557 | − | 0.604564i | \(-0.206653\pi\) |
−0.998804 | + | 0.0488939i | \(0.984430\pi\) | |||||||
\(374\) | −0.136823 | + | 0.775963i | −0.00707496 | + | 0.0401241i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.92745 | − | 1.61733i | 0.0994009 | − | 0.0834072i | ||||
\(377\) | 6.66917i | 0.343480i | ||||||||
\(378\) | −8.66451 | + | 6.26801i | −0.445654 | + | 0.322392i | ||||
\(379\) | 24.1705 | 1.24155 | 0.620777 | − | 0.783987i | \(-0.286817\pi\) | ||||
0.620777 | + | 0.783987i | \(0.286817\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.02366 | + | 0.742807i | 0.462296 | + | 0.0380551i | ||||
\(382\) | 37.0129 | + | 6.52637i | 1.89374 | + | 0.333918i | ||||
\(383\) | 3.22979 | + | 8.87378i | 0.165035 | + | 0.453429i | 0.994451 | − | 0.105202i | \(-0.0335489\pi\) |
−0.829416 | + | 0.558631i | \(0.811327\pi\) | |||||||
\(384\) | 12.4231 | + | 5.71553i | 0.633964 | + | 0.291669i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.2015 | + | 19.4016i | 0.570143 | + | 0.987516i | ||||
\(387\) | −16.7721 | + | 0.172220i | −0.852573 | + | 0.00875442i | ||||
\(388\) | −11.9193 | − | 6.88162i | −0.605111 | − | 0.349361i | ||||
\(389\) | −2.39406 | − | 0.871367i | −0.121384 | − | 0.0441801i | 0.280614 | − | 0.959821i | \(-0.409462\pi\) |
−0.401998 | + | 0.915641i | \(0.631684\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.94617 | + | 1.63303i | 0.0984218 | + | 0.0825857i | ||||
\(392\) | −3.95474 | + | 4.71308i | −0.199745 | + | 0.238046i | ||||
\(393\) | −8.81457 | + | 8.90554i | −0.444636 | + | 0.449225i | ||||
\(394\) | −28.1617 | − | 10.2500i | −1.41876 | − | 0.516388i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.32610 | − | 0.385571i | −0.116891 | − | 0.0193757i | ||||
\(397\) | 3.18279 | − | 1.83759i | 0.159740 | − | 0.0922258i | −0.417999 | − | 0.908447i | \(-0.637269\pi\) |
0.577739 | + | 0.816222i | \(0.303935\pi\) | |||||||
\(398\) | −15.7173 | + | 2.77138i | −0.787836 | + | 0.138917i | ||||
\(399\) | −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 | \(-0.0765516\pi\) | |||||||
\(402\) | 2.58151 | + | 1.78791i | 0.128754 | + | 0.0891731i | ||||
\(403\) | −8.44078 | − | 10.0593i | −0.420465 | − | 0.501091i | ||||
\(404\) | 25.1458 | 1.25105 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.06558 | 0.449917 | ||||||||
\(407\) | 0.909859 | + | 1.08433i | 0.0451000 | + | 0.0537481i | ||||
\(408\) | −1.69968 | − | 1.17717i | −0.0841465 | − | 0.0582785i | ||||
\(409\) | −1.59443 | + | 9.04248i | −0.0788396 | + | 0.447122i | 0.919677 | + | 0.392676i | \(0.128450\pi\) |
−0.998517 | + | 0.0544462i | \(0.982661\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.79780 | + | 19.4013i | 0.0886792 | + | 0.956994i | ||||
\(412\) | 24.0658 | − | 4.24345i | 1.18564 | − | 0.209060i | ||||
\(413\) | 1.45190 | − | 0.838253i | 0.0714432 | − | 0.0412477i | ||||
\(414\) | −8.71900 | + | 10.6103i | −0.428515 | + | 0.521466i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 11.3514 | + | 4.13157i | 0.556548 | + | 0.202567i | ||||
\(417\) | −11.4292 | + | 11.5471i | −0.559689 | + | 0.565466i | ||||
\(418\) | 2.68215 | − | 3.19646i | 0.131188 | − | 0.156344i | ||||
\(419\) | 5.34613 | + | 4.48594i | 0.261176 | + | 0.219152i | 0.763967 | − | 0.645256i | \(-0.223249\pi\) |
−0.502791 | + | 0.864408i | \(0.667694\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.9525 | − | 10.5379i | −1.41106 | − | 0.513584i | −0.479619 | − | 0.877477i | \(-0.659225\pi\) |
−0.931441 | + | 0.363894i | \(0.881447\pi\) | |||||||
\(422\) | 9.55686 | + | 5.51765i | 0.465221 | + | 0.268595i | ||||
\(423\) | 3.77996 | + | 6.39454i | 0.183788 | + | 0.310913i | ||||
\(424\) | 5.53405 | + | 9.58526i | 0.268757 | + | 0.465502i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −31.9589 | − | 14.7034i | −1.54842 | − | 0.712383i | ||||
\(427\) | −0.337472 | − | 0.927196i | −0.0163314 | − | 0.0448702i | ||||
\(428\) | −12.6292 | − | 2.22687i | −0.610457 | − | 0.107640i | ||||
\(429\) | −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 | \(0.265487\pi\) | |||||||
\(432\) | −8.18774 | + | 12.0853i | −0.393933 | + | 0.581453i | ||||
\(433\) | − | 19.1706i | − | 0.921278i | −0.887588 | − | 0.460639i | \(-0.847620\pi\) | ||
0.887588 | − | 0.460639i | \(-0.152380\pi\) | |||||||
\(434\) | −13.6739 | + | 11.4738i | −0.656369 | + | 0.550759i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.14843 | + | 17.8556i | −0.150782 | + | 0.855130i | ||||
\(437\) | −4.60154 | − | 12.6426i | −0.220121 | − | 0.604778i | ||||
\(438\) | −32.2849 | − | 45.6075i | −1.54263 | − | 2.17921i | ||||
\(439\) | 4.12397 | + | 23.3882i | 0.196826 | + | 1.11626i | 0.909794 | + | 0.415060i | \(0.136239\pi\) |
−0.712968 | + | 0.701197i | \(0.752649\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.8177 | − | 13.7936i | −0.562746 | − | 0.656838i | ||||
\(442\) | −3.26009 | − | 1.88221i | −0.155067 | − | 0.0895278i | ||||
\(443\) | −7.98900 | + | 21.9496i | −0.379569 | + | 1.04286i | 0.591967 | + | 0.805962i | \(0.298352\pi\) |
−0.971536 | + | 0.236894i | \(0.923871\pi\) | |||||||
\(444\) | −18.5076 | + | 5.06108i | −0.878332 | + | 0.240188i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −28.6892 | − | 24.0731i | −1.35847 | − | 1.13989i | ||||
\(447\) | −8.70396 | − | 31.8291i | −0.411683 | − | 1.50546i | ||||
\(448\) | 3.74762 | − | 10.2965i | 0.177059 | − | 0.486464i | ||||
\(449\) | 2.40953 | − | 4.17343i | 0.113713 | − | 0.196956i | −0.803552 | − | 0.595235i | \(-0.797059\pi\) |
0.917264 | + | 0.398279i | \(0.130392\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.926176 | + | 1.60418i | 0.0436119 | + | 0.0755380i | ||||
\(452\) | −25.3416 | + | 4.46841i | −1.19197 | + | 0.210176i | ||||
\(453\) | −4.01695 | − | 5.67457i | −0.188733 | − | 0.266615i | ||||
\(454\) | 31.3701 | − | 11.4178i | 1.47227 | − | 0.535863i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.67813 | + | 9.89928i | 0.219074 | + | 0.463576i | ||||
\(457\) | −3.14555 | − | 3.74872i | −0.147142 | − | 0.175358i | 0.687439 | − | 0.726242i | \(-0.258735\pi\) |
−0.834581 | + | 0.550885i | \(0.814290\pi\) | |||||||
\(458\) | − | 3.73978i | − | 0.174749i | ||||||
\(459\) | 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 | \(0.0517824\pi\) | |||||||
\(462\) | −0.0926768 | + | 1.12584i | −0.00431171 | + | 0.0523789i | ||||
\(463\) | 27.0579 | + | 4.77104i | 1.25749 | + | 0.221729i | 0.762396 | − | 0.647111i | \(-0.224023\pi\) |
0.495093 | + | 0.868840i | \(0.335134\pi\) | |||||||
\(464\) | 11.6285 | − | 4.23245i | 0.539842 | − | 0.196486i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.10832 | + | 28.9707i | 0.236639 | + | 1.34204i | ||||
\(467\) | −18.4000 | + | 10.6232i | −0.851450 | + | 0.491585i | −0.861140 | − | 0.508368i | \(-0.830249\pi\) |
0.00968963 | + | 0.999953i | \(0.496916\pi\) | |||||||
\(468\) | 5.53194 | − | 9.81292i | 0.255714 | − | 0.453602i | ||||
\(469\) | 0.416426 | − | 0.721272i | 0.0192288 | − | 0.0333052i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.19917 | − | 12.1894i | 0.147410 | − | 0.561659i | ||||
\(472\) | −1.12623 | + | 1.34218i | −0.0518387 | + | 0.0617790i | ||||
\(473\) | −1.13889 | + | 1.35728i | −0.0523662 | + | 0.0624076i | ||||
\(474\) | −29.2186 | − | 28.9201i | −1.34205 | − | 1.32834i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.41636 | + | 2.45321i | −0.0649188 | + | 0.112443i | ||||
\(477\) | −30.5889 | + | 11.4905i | −1.40057 | + | 0.526113i | ||||
\(478\) | −36.3543 | + | 20.9892i | −1.66281 | + | 0.960022i | ||||
\(479\) | 7.23745 | + | 41.0456i | 0.330688 | + | 1.87542i | 0.466248 | + | 0.884654i | \(0.345606\pi\) |
−0.135560 | + | 0.990769i | \(0.543283\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.35480 | + | 2.31296i | −0.289754 | + | 0.105462i | ||||
\(482\) | −40.3859 | − | 7.12113i | −1.83953 | − | 0.324358i | ||||
\(483\) | 2.99431 | + | 2.07381i | 0.136246 | + | 0.0943618i | ||||
\(484\) | 20.7077 | − | 17.3758i | 0.941258 | − | 0.789809i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 23.9220 | + | 22.7244i | 1.08513 | + | 1.03080i | ||||
\(487\) | 4.02801i | 0.182527i | 0.995827 | + | 0.0912634i | \(0.0290905\pi\) | ||||
−0.995827 | + | 0.0912634i | \(0.970909\pi\) | |||||||
\(488\) | 0.662836 | + | 0.789937i | 0.0300052 | + | 0.0357588i | ||||
\(489\) | 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 | \(0.0520504\pi\) | |||||||
\(492\) | −25.0017 | + | 2.31677i | −1.12716 | + | 0.104448i | ||||
\(493\) | −5.09577 | + | 0.898521i | −0.229502 | + | 0.0404674i | ||||
\(494\) | 9.96769 | + | 17.2645i | 0.448468 | + | 0.776769i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.1830 | + | 21.1015i | −0.547032 | + | 0.947487i | ||||
\(497\) | −3.19114 | + | 8.76759i | −0.143142 | + | 0.393280i | ||||
\(498\) | −12.0823 | + | 12.2070i | −0.541423 | + | 0.547011i | ||||
\(499\) | 3.11922 | + | 2.61734i | 0.139636 | + | 0.117168i | 0.709930 | − | 0.704272i | \(-0.248726\pi\) |
−0.570295 | + | 0.821440i | \(0.693171\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.02531 | + | 3.90664i | −0.0458076 | + | 0.174536i | ||||
\(502\) | 3.96403 | − | 10.8911i | 0.176923 | − | 0.486093i | ||||
\(503\) | −2.96695 | − | 1.71297i | −0.132290 | − | 0.0763775i | 0.432395 | − | 0.901684i | \(-0.357669\pi\) |
−0.564684 | + | 0.825307i | \(0.691002\pi\) | |||||||
\(504\) | −2.58213 | − | 1.45565i | −0.115017 | − | 0.0648398i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.251909 | + | 1.42865i | 0.0111987 | + | 0.0635111i | ||||
\(507\) | −7.75161 | + | 16.8487i | −0.344261 | + | 0.748276i | ||||
\(508\) | 4.43412 | + | 12.1827i | 0.196732 | + | 0.540518i | ||||
\(509\) | 2.12952 | − | 12.0771i | 0.0943893 | − | 0.535308i | −0.900543 | − | 0.434766i | \(-0.856831\pi\) |
0.994933 | − | 0.100542i | \(-0.0320578\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.3529 | + | 9.52619i | −0.502222 | + | 0.421414i | ||||
\(512\) | − | 28.1241i | − | 1.24292i | ||||||
\(513\) | −31.0903 | + | 8.84601i | −1.37267 | + | 0.390561i | ||||
\(514\) | −24.4791 | −1.07973 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.2616 | − | 21.7143i | −0.451742 | − | 0.955920i | ||||
\(517\) | 0.772750 | + | 0.136257i | 0.0339855 | + | 0.00599257i | ||||
\(518\) | 3.14407 | + | 8.63825i | 0.138142 | + | 0.379543i | ||||
\(519\) | 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 | \(0.933153\pi\) | |||||||
\(522\) | −5.13962 | − | 27.4943i | −0.224955 | − | 1.20339i | ||||
\(523\) | 8.46897 | + | 4.88956i | 0.370322 | + | 0.213806i | 0.673599 | − | 0.739097i | \(-0.264747\pi\) |
−0.303277 | + | 0.952902i | \(0.598081\pi\) | |||||||
\(524\) | −16.8597 | − | 6.13643i | −0.736520 | − | 0.268071i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.5035 | − | 8.81348i | −0.457974 | − | 0.384286i | ||||
\(527\) | 6.54892 | − | 7.80469i | 0.285275 | − | 0.339978i | ||||
\(528\) | 0.406744 | + | 1.48740i | 0.0177013 | + | 0.0647309i | ||||
\(529\) | −17.2176 | − | 6.26668i | −0.748590 | − | 0.272464i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.36541 | − | 3.92812i | −0.146047 | − | 0.170466i | ||||
\(532\) | 12.9915 | − | 7.50065i | 0.563254 | − | 0.325195i | ||||
\(533\) | −8.71534 | + | 1.53675i | −0.377503 | + | 0.0665640i | ||||
\(534\) | −46.3785 | + | 32.8307i | −2.00699 | + | 1.42072i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.151144 | + | 0.857180i | −0.00652843 | + | 0.0370245i | ||||
\(537\) | −31.3131 | + | 14.7977i | −1.35126 | + | 0.638569i | ||||
\(538\) | −18.8280 | − | 22.4384i | −0.811734 | − | 0.967387i | ||||
\(539\) | −1.91871 | −0.0826445 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.9454 | 1.76038 | 0.880189 | − | 0.474623i | \(-0.157416\pi\) | ||||
0.880189 | + | 0.474623i | \(0.157416\pi\) | |||||||
\(542\) | −2.64674 | − | 3.15426i | −0.113687 | − | 0.135487i | ||||
\(543\) | 1.38294 | − | 16.8001i | 0.0593477 | − | 0.720959i | ||||
\(544\) | −1.62750 | + | 9.22999i | −0.0697783 | + | 0.395732i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.90300 | − | 2.25573i | −0.209829 | − | 0.0965365i | ||||
\(547\) | −1.09341 | + | 0.192798i | −0.0467508 | + | 0.00824343i | −0.196975 | − | 0.980409i | \(-0.563112\pi\) |
0.150224 | + | 0.988652i | \(0.452001\pi\) | |||||||
\(548\) | −24.1615 | + | 13.9497i | −1.03213 | + | 0.595900i | ||||
\(549\) | −2.62070 | + | 1.54916i | −0.111849 | + | 0.0661164i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 25.7495 | + | 9.37206i | 1.09697 | + | 0.399263i | ||||
\(552\) | −3.68186 | − | 0.966321i | −0.156711 | − | 0.0411293i | ||||
\(553\) | −7.00864 | + | 8.35257i | −0.298038 | + | 0.355188i | ||||
\(554\) | 20.2236 | + | 16.9696i | 0.859216 | + | 0.720968i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −21.8607 | − | 7.95664i | −0.927100 | − | 0.337437i | ||||
\(557\) | −30.3458 | − | 17.5201i | −1.28579 | − | 0.742352i | −0.307890 | − | 0.951422i | \(-0.599623\pi\) |
−0.977901 | + | 0.209070i | \(0.932956\pi\) | |||||||
\(558\) | 42.5503 | + | 34.9657i | 1.80130 | + | 1.48022i | ||||
\(559\) | −4.23247 | − | 7.33084i | −0.179014 | − | 0.310062i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0594925 | − | 0.642022i | −0.00251178 | − | 0.0271062i | ||||
\(562\) | 7.06254 | + | 19.4042i | 0.297915 | + | 0.818516i | ||||
\(563\) | 38.1822 | + | 6.73255i | 1.60919 | + | 0.283743i | 0.904724 | − | 0.425998i | \(-0.140077\pi\) |
0.704463 | + | 0.709741i | \(0.251188\pi\) | |||||||
\(564\) | −6.05593 | + | 8.74396i | −0.255001 | + | 0.368187i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −56.2413 | −2.36400 | ||||||||
\(567\) | 5.48619 | − | 6.81774i | 0.230398 | − | 0.286318i | ||||
\(568\) | − | 9.75095i | − | 0.409141i | ||||||
\(569\) | 26.0213 | − | 21.8344i | 1.09087 | − | 0.915347i | 0.0940904 | − | 0.995564i | \(-0.470006\pi\) |
0.996777 | + | 0.0802169i | \(0.0255613\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.75191 | − | 9.93559i | 0.0733153 | − | 0.415792i | −0.925956 | − | 0.377631i | \(-0.876739\pi\) |
0.999272 | − | 0.0381610i | \(-0.0121500\pi\) | |||||||
\(572\) | −0.406986 | − | 1.11818i | −0.0170169 | − | 0.0467536i | ||||
\(573\) | −30.6240 | + | 2.83775i | −1.27934 | + | 0.118549i | ||||
\(574\) | 2.08894 | + | 11.8470i | 0.0871908 | + | 0.494484i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −33.3522 | − | 5.52842i | −1.38968 | − | 0.230351i | ||||
\(577\) | 10.5069 | + | 6.06615i | 0.437407 | + | 0.252537i | 0.702497 | − | 0.711687i | \(-0.252068\pi\) |
−0.265090 | + | 0.964224i | \(0.585402\pi\) | |||||||
\(578\) | −11.3078 | + | 31.0680i | −0.470344 | + | 1.29226i | ||||
\(579\) | −13.0295 | − | 12.8964i | −0.541487 | − | 0.535956i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.48957 | + | 2.92810i | 0.144772 | + | 0.121478i | ||||
\(582\) | 19.6785 | + | 5.16470i | 0.815700 | + | 0.214084i | ||||
\(583\) | −1.18055 | + | 3.24352i | −0.0488932 | + | 0.134333i | ||||
\(584\) | 7.74416 | − | 13.4133i | 0.320456 | − | 0.555046i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.9722 | + | 22.4685i | 0.535877 | + | 0.928167i | ||||
\(587\) | −31.2669 | + | 5.51319i | −1.29052 | + | 0.227554i | −0.776442 | − | 0.630189i | \(-0.782977\pi\) |
−0.514079 | + | 0.857743i | \(0.671866\pi\) | |||||||
\(588\) | 10.8704 | − | 23.6276i | 0.448288 | − | 0.974387i | ||||
\(589\) | −50.7006 | + | 18.4535i | −2.08908 | + | 0.760363i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 24.4412 | + | 2.01195i | 1.00538 | + | 0.0827605i | ||||
\(592\) | 8.06588 | + | 9.61254i | 0.331506 | + | 0.395073i | ||||
\(593\) | − | 13.4906i | − | 0.553993i | −0.960871 | − | 0.276996i | \(-0.910661\pi\) | ||
0.960871 | − | 0.276996i | \(-0.0893390\pi\) | |||||||
\(594\) | 3.46703 | − | 0.357210i | 0.142254 | − | 0.0146565i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 36.1947 | − | 30.3710i | 1.48259 | − | 1.24404i | ||||
\(597\) | 11.8079 | − | 5.58009i | 0.483265 | − | 0.228378i | ||||
\(598\) | −6.82550 | − | 1.20352i | −0.279115 | − | 0.0492156i | ||||
\(599\) | −39.8715 | + | 14.5120i | −1.62911 | + | 0.592946i | −0.985086 | − | 0.172063i | \(-0.944957\pi\) |
−0.644020 | + | 0.765009i | \(0.722735\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.43906 | − | 19.5039i | −0.140282 | − | 0.795579i | −0.971035 | − | 0.238938i | \(-0.923201\pi\) |
0.830753 | − | 0.556641i | \(-0.187910\pi\) | |||||||
\(602\) | −9.96501 | + | 5.75330i | −0.406144 | + | 0.234487i | ||||
\(603\) | −2.42358 | − | 0.854034i | −0.0986958 | − | 0.0347789i | ||||
\(604\) | 4.97755 | − | 8.62136i | 0.202533 | − | 0.350798i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −35.8543 | + | 9.80470i | −1.45648 | + | 0.398289i | ||||
\(607\) | 23.1397 | − | 27.5769i | 0.939213 | − | 1.11931i | −0.0534715 | − | 0.998569i | \(-0.517029\pi\) |
0.992684 | − | 0.120741i | \(-0.0385269\pi\) | |||||||
\(608\) | 31.9038 | − | 38.0215i | 1.29387 | − | 1.54197i | ||||
\(609\) | −7.15571 | + | 1.95680i | −0.289964 | + | 0.0792934i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.87442 | + | 3.24659i | −0.0758310 | + | 0.131343i | ||||
\(612\) | 8.24315 | + | 2.90476i | 0.333209 | + | 0.117418i | ||||
\(613\) | −22.9175 | + | 13.2314i | −0.925627 | + | 0.534411i | −0.885426 | − | 0.464780i | \(-0.846133\pi\) |
−0.0402013 | + | 0.999192i | \(0.512800\pi\) | |||||||
\(614\) | −9.73045 | − | 55.1841i | −0.392689 | − | 2.22705i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.294234 | + | 0.107093i | −0.0118550 | + | 0.00431488i | ||||
\(617\) | 48.3705 | + | 8.52903i | 1.94732 | + | 0.343366i | 0.999713 | + | 0.0239406i | \(0.00762125\pi\) |
0.947611 | + | 0.319425i | \(0.103490\pi\) | |||||||
\(618\) | −32.6599 | + | 15.4342i | −1.31377 | + | 0.620853i | ||||
\(619\) | 18.5430 | − | 15.5595i | 0.745307 | − | 0.625387i | −0.188950 | − | 0.981987i | \(-0.560508\pi\) |
0.934257 | + | 0.356600i | \(0.116064\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.59193 | − | 10.2570i | 0.184268 | − | 0.411598i | ||||
\(622\) | 37.3785i | 1.49874i | ||||||||
\(623\) | 9.68725 | + | 11.5448i | 0.388111 | + | 0.462533i | ||||
\(624\) | −7.34229 | − | 0.604400i | −0.293927 | − | 0.0241954i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 19.1881 | − | 6.98388i | 0.766909 | − | 0.279132i | ||||
\(627\) | −1.42714 | + | 3.10199i | −0.0569945 | + | 0.123882i | ||||
\(628\) | 17.7708 | − | 3.13347i | 0.709132 | − | 0.125039i | ||||
\(629\) | −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 | \(0.281250\pi\) | |||||||
\(632\) | 3.89736 | − | 10.7079i | 0.155029 | − | 0.425938i | ||||
\(633\) | −8.73447 | − | 2.29240i | −0.347164 | − | 0.0911147i | ||||
\(634\) | −6.01629 | − | 5.04827i | −0.238937 | − | 0.200492i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −33.2535 | − | 32.9138i | −1.31859 | − | 1.30512i | ||||
\(637\) | 3.13523 | − | 8.61398i | 0.124222 | − | 0.341298i | ||||
\(638\) | −2.55880 | − | 1.47732i | −0.101304 | − | 0.0584878i | ||||
\(639\) | 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 | \(0.673799\pi\) | |||||||
\(642\) | 18.8758 | − | 1.74911i | 0.744968 | − | 0.0690319i | ||||
\(643\) | 16.0553 | + | 44.1115i | 0.633158 | + | 1.73959i | 0.672220 | + | 0.740352i | \(0.265341\pi\) |
−0.0390615 | + | 0.999237i | \(0.512437\pi\) | |||||||
\(644\) | −0.905644 | + | 5.13616i | −0.0356874 | + | 0.202393i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.8485 | + | 9.94211i | −0.466175 | + | 0.391167i | ||||
\(647\) | − | 28.2333i | − | 1.10997i | −0.831862 | − | 0.554983i | \(-0.812725\pi\) | ||
0.831862 | − | 0.554983i | \(-0.187275\pi\) | |||||||
\(648\) | −2.95083 | + | 8.65643i | −0.115920 | + | 0.340057i | ||||
\(649\) | −0.546406 | −0.0214483 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.31660 | − | 12.0081i | 0.325953 | − | 0.470634i | ||||
\(652\) | 30.4060 | + | 5.36140i | 1.19079 | + | 0.209969i | ||||
\(653\) | 12.0758 | + | 33.1779i | 0.472562 | + | 1.29835i | 0.915687 | + | 0.401893i | \(0.131647\pi\) |
−0.443125 | + | 0.896460i | \(0.646130\pi\) | |||||||
\(654\) | −2.47295 | − | 26.6872i | −0.0967001 | − | 1.04355i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.21052 | + | 14.2210i | 0.320567 | + | 0.555239i | ||||
\(657\) | 35.3277 | + | 29.0306i | 1.37826 | + | 1.13259i | ||||
\(658\) | 4.41318 | + | 2.54795i | 0.172044 | + | 0.0993295i | ||||
\(659\) | 39.1793 | + | 14.2601i | 1.52621 | + | 0.555494i | 0.962689 | − | 0.270609i | \(-0.0872250\pi\) |
0.563519 | + | 0.826103i | \(0.309447\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.975874 | + | 0.818856i | 0.0379571 | + | 0.0318498i | 0.661569 | − | 0.749884i | \(-0.269891\pi\) |
−0.623612 | + | 0.781734i | \(0.714335\pi\) | |||||||
\(662\) | −1.92216 | + | 2.29075i | −0.0747070 | + | 0.0890324i | ||||
\(663\) | 2.97956 | + | 0.781997i | 0.115716 | + | 0.0303702i | ||||
\(664\) | −4.47359 | − | 1.62825i | −0.173609 | − | 0.0631885i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 24.4158 | − | 14.4328i | 0.946095 | − | 0.559258i | ||||
\(667\) | −8.25035 | + | 4.76334i | −0.319455 | + | 0.184437i | ||||
\(668\) | −5.69543 | + | 1.00426i | −0.220363 | + | 0.0388559i | ||||
\(669\) | 27.8413 | + | 12.8090i | 1.07641 | + | 0.495226i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.0558427 | + | 0.316700i | −0.00215578 | + | 0.0122261i | ||||
\(672\) | −1.10238 | + | 13.3918i | −0.0425252 | + | 0.516598i | ||||
\(673\) | −22.9043 | − | 27.2963i | −0.882896 | − | 1.05219i | −0.998266 | − | 0.0588715i | \(-0.981250\pi\) |
0.115370 | − | 0.993323i | \(-0.463195\pi\) | |||||||
\(674\) | −27.4951 | −1.05907 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.5561 | −1.02139 | ||||||||
\(677\) | 11.5714 | + | 13.7902i | 0.444725 | + | 0.530002i | 0.941110 | − | 0.338100i | \(-0.109784\pi\) |
−0.496386 | + | 0.868102i | \(0.665340\pi\) | |||||||
\(678\) | 34.3913 | − | 16.2524i | 1.32079 | − | 0.624169i | ||||
\(679\) | 0.936996 | − | 5.31397i | 0.0359586 | − | 0.203931i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.2968 | + | 15.7836i | −0.854414 | + | 0.604828i | ||||
\(682\) | 5.72929 | − | 1.01023i | 0.219386 | − | 0.0386836i | ||||
\(683\) | −34.4344 | + | 19.8807i | −1.31760 | + | 0.760715i | −0.983341 | − | 0.181768i | \(-0.941818\pi\) |
−0.334255 | + | 0.942483i | \(0.608485\pi\) | |||||||
\(684\) | −30.1136 | − | 35.1486i | −1.15142 | − | 1.34394i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −25.2468 | − | 9.18909i | −0.963928 | − | 0.350841i | ||||
\(687\) | 0.807229 | + | 2.95192i | 0.0307977 | + | 0.112623i | ||||
\(688\) | −10.0962 | + | 12.0322i | −0.384915 | + | 0.458724i | ||||
\(689\) | −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 | \(0.507319\pi\) | |||||||
\(692\) | 7.69408 | + | 4.44218i | 0.292485 | + | 0.168866i | ||||
\(693\) | −0.169860 | − | 0.908663i | −0.00645244 | − | 0.0345173i | ||||
\(694\) | 5.08038 | + | 8.79948i | 0.192849 | + | 0.334024i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 6.32790 | − | 4.47944i | 0.239859 | − | 0.169793i | ||||
\(697\) | −2.34839 | − | 6.45216i | −0.0889518 | − | 0.244393i | ||||
\(698\) | −47.0622 | − | 8.29833i | −1.78133 | − | 0.314097i | ||||
\(699\) | −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 | \(0.554177\pi\) | |||||||
\(702\) | −4.06156 | + | 16.1488i | −0.153294 | + | 0.609498i | ||||
\(703\) | 27.7861i | 1.04797i | ||||||||
\(704\) | −2.73570 | + | 2.29552i | −0.103106 | + | 0.0865158i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.9186 | − | 61.9223i | 0.410926 | − | 2.33048i | ||||
\(707\) | 3.37181 | + | 9.26398i | 0.126810 | + | 0.348408i | ||||
\(708\) | 3.09566 | − | 6.72864i | 0.116342 | − | 0.252878i | ||||
\(709\) | −3.15026 | − | 17.8660i | −0.118311 | − | 0.670973i | −0.985058 | − | 0.172225i | \(-0.944904\pi\) |
0.866747 | − | 0.498748i | \(-0.166207\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.3054 | + | 16.5206i | 1.09904 | + | 0.619572i | ||||
\(712\) | −13.6401 | − | 7.87509i | −0.511183 | − | 0.295131i | ||||
\(713\) | 6.41560 | − | 17.6267i | 0.240266 | − | 0.660125i | ||||
\(714\) | 1.06299 | − | 4.05019i | 0.0397814 | − | 0.151574i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −37.9890 | − | 31.8766i | −1.41972 | − | 1.19128i | ||||
\(717\) | 24.1650 | − | 24.4144i | 0.902457 | − | 0.911771i | ||||
\(718\) | 9.71498 | − | 26.6917i | 0.362560 | − | 0.996125i | ||||
\(719\) | 15.7860 | − | 27.3421i | 0.588718 | − | 1.01969i | −0.405683 | − | 0.914014i | \(-0.632966\pi\) |
0.994401 | − | 0.105675i | \(-0.0337004\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.79034 | + | 8.29711i | 0.178402 | + | 0.309001i | ||||
\(722\) | 41.0606 | − | 7.24010i | 1.52812 | − | 0.269449i | ||||
\(723\) | 33.4148 | − | 3.09636i | 1.24271 | − | 0.115155i | ||||
\(724\) | 22.6814 | − | 8.25536i | 0.842948 | − | 0.306808i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −22.7511 | + | 32.8497i | −0.844374 | + | 1.21916i | ||||
\(727\) | 24.6890 | + | 29.4232i | 0.915664 | + | 1.09125i | 0.995530 | + | 0.0944407i | \(0.0301063\pi\) |
−0.0798662 | + | 0.996806i | \(0.525449\pi\) | |||||||
\(728\) | − | 1.49595i | − | 0.0554436i | ||||||
\(729\) | −23.7874 | − | 12.7734i | −0.881014 | − | 0.473090i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.03111 | − | 4.22160i | 0.186082 | − | 0.156142i | ||||
\(732\) | −3.58358 | − | 2.48193i | −0.132453 | − | 0.0917346i | ||||
\(733\) | 29.8695 | + | 5.26680i | 1.10326 | + | 0.194534i | 0.695478 | − | 0.718547i | \(-0.255193\pi\) |
0.407778 | + | 0.913081i | \(0.366304\pi\) | |||||||
\(734\) | 15.8123 | − | 5.75521i | 0.583643 | − | 0.212429i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.99643 | + | 16.9936i | 0.110450 | + | 0.626391i | ||||
\(737\) | −0.235076 | + | 0.135721i | −0.00865915 | + | 0.00499936i | ||||
\(738\) | 34.7456 | − | 13.0519i | 1.27900 | − | 0.480448i | ||||
\(739\) | 5.00127 | − | 8.66245i | 0.183975 | − | 0.318653i | −0.759256 | − | 0.650792i | \(-0.774437\pi\) |
0.943230 | + | 0.332139i | \(0.107770\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −11.5943 | − | 11.4759i | −0.425928 | − | 0.421577i | ||||
\(742\) | −14.4089 | + | 17.1719i | −0.528969 | + | 0.630400i | ||||
\(743\) | 23.3163 | − | 27.7873i | 0.855394 | − | 1.01942i | −0.144160 | − | 0.989554i | \(-0.546048\pi\) |
0.999554 | − | 0.0298642i | \(-0.00950748\pi\) | |||||||
\(744\) | −3.87523 | + | 14.7654i | −0.142073 | + | 0.541324i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −12.0865 | + | 20.9344i | −0.442517 | + | 0.766461i | ||||
\(747\) | 6.90205 | − | 12.2433i | 0.252533 | − | 0.447960i | ||||
\(748\) | 0.799548 | − | 0.461619i | 0.0292344 | − | 0.0168785i | ||||
\(749\) | −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 | \(0.303336\pi\) | |||||||
\(752\) | 6.85041 | + | 1.20791i | 0.249809 | + | 0.0440480i | ||||
\(753\) | −0.778089 | + | 9.45226i | −0.0283551 | + | 0.344460i | ||||
\(754\) | 10.8136 | − | 9.07366i | 0.393807 | − | 0.330443i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 12.1519 | + | 3.05631i | 0.441962 | + | 0.111157i | ||||
\(757\) | − | 45.5754i | − | 1.65646i | −0.560385 | − | 0.828232i | \(-0.689347\pi\) | ||
0.560385 | − | 0.828232i | \(-0.310653\pi\) | |||||||
\(758\) | −32.8849 | − | 39.1907i | −1.19443 | − | 1.42347i | ||||
\(759\) | −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 | \(0.520991\pi\) | |||||||
\(762\) | −11.0726 | − | 15.6418i | −0.401119 | − | 0.566643i | ||||
\(763\) | −7.00040 | + | 1.23436i | −0.253431 | + | 0.0446868i | ||||
\(764\) | −22.0189 | − | 38.1379i | −0.796616 | − | 1.37978i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.99393 | − | 17.3100i | 0.361096 | − | 0.625436i | ||||
\(767\) | 0.892846 | − | 2.45307i | 0.0322388 | − | 0.0885754i | ||||
\(768\) | 2.66224 | + | 9.73542i | 0.0960654 | + | 0.351297i | ||||
\(769\) | −10.4679 | − | 8.78365i | −0.377484 | − | 0.316747i | 0.434230 | − | 0.900802i | \(-0.357021\pi\) |
−0.811714 | + | 0.584056i | \(0.801465\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.3220 | − | 5.28379i | 0.695866 | − | 0.190291i | ||||
\(772\) | 8.97807 | − | 24.6670i | 0.323128 | − | 0.887786i | ||||
\(773\) | −17.8869 | − | 10.3270i | −0.643345 | − | 0.371436i | 0.142557 | − | 0.989787i | \(-0.454468\pi\) |
−0.785902 | + | 0.618351i | \(0.787801\pi\) | |||||||
\(774\) | 23.0983 | + | 26.9604i | 0.830252 | + | 0.969072i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.979243 | + | 5.55356i | 0.0351528 | + | 0.199361i |