Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 27.27 | ||
Character | \(\chi\) | \(=\) | 260.27 |
Dual form | 260.2.o.a.183.27 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.915579 | + | 1.07783i | 0.647412 | + | 0.762140i | ||||
\(3\) | 1.47811 | + | 1.47811i | 0.853386 | + | 0.853386i | 0.990549 | − | 0.137163i | \(-0.0437984\pi\) |
−0.137163 | + | 0.990549i | \(0.543798\pi\) | |||||||
\(4\) | −0.323431 | + | 1.97367i | −0.161716 | + | 0.986837i | ||||
\(5\) | −1.55016 | + | 1.61152i | −0.693255 | + | 0.720693i | ||||
\(6\) | −0.239824 | + | 2.94647i | −0.0979075 | + | 1.20289i | ||||
\(7\) | 2.13554 | − | 2.13554i | 0.807159 | − | 0.807159i | −0.177044 | − | 0.984203i | \(-0.556653\pi\) |
0.984203 | + | 0.177044i | \(0.0566534\pi\) | |||||||
\(8\) | −2.42341 | + | 1.45845i | −0.856805 | + | 0.515640i | ||||
\(9\) | 1.36960i | 0.456534i | ||||||||
\(10\) | −3.15624 | − | 0.195341i | −0.998090 | − | 0.0617724i | ||||
\(11\) | − | 4.29565i | − | 1.29519i | −0.761986 | − | 0.647594i | \(-0.775775\pi\) | ||
0.761986 | − | 0.647594i | \(-0.224225\pi\) | |||||||
\(12\) | −3.39537 | + | 2.43924i | −0.980159 | + | 0.704147i | ||||
\(13\) | 0.707107 | − | 0.707107i | 0.196116 | − | 0.196116i | ||||
\(14\) | 4.25701 | + | 0.346493i | 1.13773 | + | 0.0926041i | ||||
\(15\) | −4.67331 | + | 0.0906862i | −1.20664 | + | 0.0234151i | ||||
\(16\) | −3.79078 | − | 1.27670i | −0.947696 | − | 0.319174i | ||||
\(17\) | 1.46539 | + | 1.46539i | 0.355410 | + | 0.355410i | 0.862118 | − | 0.506708i | \(-0.169138\pi\) |
−0.506708 | + | 0.862118i | \(0.669138\pi\) | |||||||
\(18\) | −1.47620 | + | 1.25398i | −0.347943 | + | 0.295566i | ||||
\(19\) | −3.97321 | −0.911518 | −0.455759 | − | 0.890103i | \(-0.650632\pi\) | ||||
−0.455759 | + | 0.890103i | \(0.650632\pi\) | |||||||
\(20\) | −2.67924 | − | 3.58074i | −0.599096 | − | 0.800677i | ||||
\(21\) | 6.31312 | 1.37764 | ||||||||
\(22\) | 4.62998 | − | 3.93301i | 0.987115 | − | 0.838520i | ||||
\(23\) | 4.23885 | + | 4.23885i | 0.883861 | + | 0.883861i | 0.993925 | − | 0.110063i | \(-0.0351054\pi\) |
−0.110063 | + | 0.993925i | \(0.535105\pi\) | |||||||
\(24\) | −5.73781 | − | 1.42631i | −1.17123 | − | 0.291145i | ||||
\(25\) | −0.193978 | − | 4.99624i | −0.0387957 | − | 0.999247i | ||||
\(26\) | 1.40955 | + | 0.114728i | 0.276436 | + | 0.0225001i | ||||
\(27\) | 2.40990 | − | 2.40990i | 0.463786 | − | 0.463786i | ||||
\(28\) | 3.52417 | + | 4.90557i | 0.666005 | + | 0.927065i | ||||
\(29\) | 4.88669i | 0.907435i | 0.891146 | + | 0.453718i | \(0.149903\pi\) | ||||
−0.891146 | + | 0.453718i | \(0.850097\pi\) | |||||||
\(30\) | −4.37652 | − | 4.95399i | −0.799040 | − | 0.904472i | ||||
\(31\) | 2.60341i | 0.467585i | 0.972286 | + | 0.233793i | \(0.0751137\pi\) | ||||
−0.972286 | + | 0.233793i | \(0.924886\pi\) | |||||||
\(32\) | −2.09470 | − | 5.25473i | −0.370294 | − | 0.928914i | ||||
\(33\) | 6.34943 | − | 6.34943i | 1.10529 | − | 1.10529i | ||||
\(34\) | −0.237761 | + | 2.92113i | −0.0407756 | + | 0.500969i | ||||
\(35\) | 0.131022 | + | 6.75191i | 0.0221467 | + | 1.14128i | ||||
\(36\) | −2.70315 | − | 0.442972i | −0.450525 | − | 0.0738287i | ||||
\(37\) | −2.66289 | − | 2.66289i | −0.437776 | − | 0.437776i | 0.453487 | − | 0.891263i | \(-0.350180\pi\) |
−0.891263 | + | 0.453487i | \(0.850180\pi\) | |||||||
\(38\) | −3.63779 | − | 4.28245i | −0.590127 | − | 0.694704i | ||||
\(39\) | 2.09036 | 0.334725 | ||||||||
\(40\) | 1.40637 | − | 6.16621i | 0.222366 | − | 0.974963i | ||||
\(41\) | 8.74316 | 1.36545 | 0.682726 | − | 0.730675i | \(-0.260794\pi\) | ||||
0.682726 | + | 0.730675i | \(0.260794\pi\) | |||||||
\(42\) | 5.78016 | + | 6.80447i | 0.891898 | + | 1.04995i | ||||
\(43\) | −8.10707 | − | 8.10707i | −1.23632 | − | 1.23632i | −0.961495 | − | 0.274821i | \(-0.911381\pi\) |
−0.274821 | − | 0.961495i | \(-0.588619\pi\) | |||||||
\(44\) | 8.47822 | + | 1.38935i | 1.27814 | + | 0.209452i | ||||
\(45\) | −2.20714 | − | 2.12311i | −0.329021 | − | 0.316494i | ||||
\(46\) | −0.687755 | + | 8.44976i | −0.101404 | + | 1.24585i | ||||
\(47\) | −4.30417 | + | 4.30417i | −0.627828 | + | 0.627828i | −0.947521 | − | 0.319693i | \(-0.896420\pi\) |
0.319693 | + | 0.947521i | \(0.396420\pi\) | |||||||
\(48\) | −3.71609 | − | 7.49028i | −0.536372 | − | 1.08113i | ||||
\(49\) | − | 2.12109i | − | 0.303012i | ||||||
\(50\) | 5.20749 | − | 4.78352i | 0.736450 | − | 0.676492i | ||||
\(51\) | 4.33202i | 0.606604i | ||||||||
\(52\) | 1.16690 | + | 1.62430i | 0.161820 | + | 0.225250i | ||||
\(53\) | −3.75627 | + | 3.75627i | −0.515963 | + | 0.515963i | −0.916347 | − | 0.400384i | \(-0.868877\pi\) |
0.400384 | + | 0.916347i | \(0.368877\pi\) | |||||||
\(54\) | 4.80392 | + | 0.391008i | 0.653731 | + | 0.0532094i | ||||
\(55\) | 6.92252 | + | 6.65897i | 0.933432 | + | 0.897895i | ||||
\(56\) | −2.06071 | + | 8.28988i | −0.275374 | + | 1.10778i | ||||
\(57\) | −5.87284 | − | 5.87284i | −0.777876 | − | 0.777876i | ||||
\(58\) | −5.26701 | + | 4.47415i | −0.691593 | + | 0.587484i | ||||
\(59\) | −8.15393 | −1.06155 | −0.530775 | − | 0.847512i | \(-0.678099\pi\) | ||||
−0.530775 | + | 0.847512i | \(0.678099\pi\) | |||||||
\(60\) | 1.33251 | − | 9.25292i | 0.172026 | − | 1.19455i | ||||
\(61\) | −3.28535 | −0.420646 | −0.210323 | − | 0.977632i | \(-0.567452\pi\) | ||||
−0.210323 | + | 0.977632i | \(0.567452\pi\) | |||||||
\(62\) | −2.80603 | + | 2.38362i | −0.356366 | + | 0.302720i | ||||
\(63\) | 2.92484 | + | 2.92484i | 0.368496 | + | 0.368496i | ||||
\(64\) | 3.74584 | − | 7.06885i | 0.468230 | − | 0.883607i | ||||
\(65\) | 0.0433831 | + | 2.23565i | 0.00538101 | + | 0.277298i | ||||
\(66\) | 12.6570 | + | 1.03020i | 1.55797 | + | 0.126809i | ||||
\(67\) | 5.76980 | − | 5.76980i | 0.704893 | − | 0.704893i | −0.260563 | − | 0.965457i | \(-0.583908\pi\) |
0.965457 | + | 0.260563i | \(0.0839083\pi\) | |||||||
\(68\) | −3.36616 | + | 2.41826i | −0.408207 | + | 0.293257i | ||||
\(69\) | 12.5309i | 1.50855i | ||||||||
\(70\) | −7.15744 | + | 6.32312i | −0.855478 | + | 0.755758i | ||||
\(71\) | − | 11.6295i | − | 1.38016i | −0.723731 | − | 0.690082i | \(-0.757574\pi\) | ||
0.723731 | − | 0.690082i | \(-0.242426\pi\) | |||||||
\(72\) | −1.99750 | − | 3.31911i | −0.235407 | − | 0.391161i | ||||
\(73\) | 7.95429 | − | 7.95429i | 0.930979 | − | 0.930979i | −0.0667878 | − | 0.997767i | \(-0.521275\pi\) |
0.997767 | + | 0.0667878i | \(0.0212751\pi\) | |||||||
\(74\) | 0.432054 | − | 5.30822i | 0.0502253 | − | 0.617068i | ||||
\(75\) | 7.09825 | − | 7.67169i | 0.819635 | − | 0.885851i | ||||
\(76\) | 1.28506 | − | 7.84183i | 0.147407 | − | 0.899520i | ||||
\(77\) | −9.17355 | − | 9.17355i | −1.04542 | − | 1.04542i | ||||
\(78\) | 1.91389 | + | 2.25305i | 0.216705 | + | 0.255108i | ||||
\(79\) | 0.366972 | 0.0412876 | 0.0206438 | − | 0.999787i | \(-0.493428\pi\) | ||||
0.0206438 | + | 0.999787i | \(0.493428\pi\) | |||||||
\(80\) | 7.93376 | − | 4.12983i | 0.887021 | − | 0.461729i | ||||
\(81\) | 11.2330 | 1.24811 | ||||||||
\(82\) | 8.00505 | + | 9.42363i | 0.884010 | + | 1.04067i | ||||
\(83\) | −6.72980 | − | 6.72980i | −0.738692 | − | 0.738692i | 0.233633 | − | 0.972325i | \(-0.424939\pi\) |
−0.972325 | + | 0.233633i | \(0.924939\pi\) | |||||||
\(84\) | −2.04186 | + | 12.4601i | −0.222785 | + | 1.35950i | ||||
\(85\) | −4.63311 | + | 0.0899062i | −0.502531 | + | 0.00975169i | ||||
\(86\) | 1.31538 | − | 16.1607i | 0.141841 | − | 1.74265i | ||||
\(87\) | −7.22305 | + | 7.22305i | −0.774392 | + | 0.774392i | ||||
\(88\) | 6.26500 | + | 10.4101i | 0.667851 | + | 1.10972i | ||||
\(89\) | 13.0741i | 1.38585i | 0.721009 | + | 0.692926i | \(0.243679\pi\) | ||||
−0.721009 | + | 0.692926i | \(0.756321\pi\) | |||||||
\(90\) | 0.267540 | − | 4.32279i | 0.0282012 | − | 0.455662i | ||||
\(91\) | − | 3.02011i | − | 0.316594i | ||||||
\(92\) | −9.73709 | + | 6.99513i | −1.01516 | + | 0.729293i | ||||
\(93\) | −3.84811 | + | 3.84811i | −0.399031 | + | 0.399031i | ||||
\(94\) | −8.57997 | − | 0.698353i | −0.884956 | − | 0.0720296i | ||||
\(95\) | 6.15914 | − | 6.40290i | 0.631914 | − | 0.656924i | ||||
\(96\) | 4.67087 | − | 10.8633i | 0.476718 | − | 1.10873i | ||||
\(97\) | −4.31611 | − | 4.31611i | −0.438235 | − | 0.438235i | 0.453183 | − | 0.891418i | \(-0.350288\pi\) |
−0.891418 | + | 0.453183i | \(0.850288\pi\) | |||||||
\(98\) | 2.28617 | − | 1.94202i | 0.230938 | − | 0.196174i | ||||
\(99\) | 5.88333 | 0.591297 | ||||||||
\(100\) | 9.92368 | + | 1.23309i | 0.992368 | + | 0.123309i | ||||
\(101\) | −0.312987 | −0.0311433 | −0.0155717 | − | 0.999879i | \(-0.504957\pi\) | ||||
−0.0155717 | + | 0.999879i | \(0.504957\pi\) | |||||||
\(102\) | −4.66917 | + | 3.96630i | −0.462317 | + | 0.392722i | ||||
\(103\) | 3.38978 | + | 3.38978i | 0.334005 | + | 0.334005i | 0.854105 | − | 0.520100i | \(-0.174105\pi\) |
−0.520100 | + | 0.854105i | \(0.674105\pi\) | |||||||
\(104\) | −0.682330 | + | 2.74489i | −0.0669079 | + | 0.269159i | ||||
\(105\) | −9.78638 | + | 10.1737i | −0.955053 | + | 0.992852i | ||||
\(106\) | −7.48777 | − | 0.609456i | −0.727277 | − | 0.0591956i | ||||
\(107\) | 4.50456 | − | 4.50456i | 0.435473 | − | 0.435473i | −0.455012 | − | 0.890485i | \(-0.650365\pi\) |
0.890485 | + | 0.455012i | \(0.150365\pi\) | |||||||
\(108\) | 3.97693 | + | 5.53580i | 0.382680 | + | 0.532683i | ||||
\(109\) | − | 5.71071i | − | 0.546987i | −0.961874 | − | 0.273493i | \(-0.911821\pi\) | ||
0.961874 | − | 0.273493i | \(-0.0881792\pi\) | |||||||
\(110\) | −0.839119 | + | 13.5581i | −0.0800068 | + | 1.29271i | ||||
\(111\) | − | 7.87206i | − | 0.747183i | ||||||
\(112\) | −10.8218 | + | 5.36894i | −1.02257 | + | 0.507317i | ||||
\(113\) | −11.7335 | + | 11.7335i | −1.10380 | + | 1.10380i | −0.109847 | + | 0.993949i | \(0.535036\pi\) |
−0.993949 | + | 0.109847i | \(0.964964\pi\) | |||||||
\(114\) | 0.952870 | − | 11.7070i | 0.0892444 | − | 1.09646i | ||||
\(115\) | −13.4019 | + | 0.260066i | −1.24973 | + | 0.0242513i | ||||
\(116\) | −9.64473 | − | 1.58051i | −0.895491 | − | 0.146746i | ||||
\(117\) | 0.968455 | + | 0.968455i | 0.0895337 | + | 0.0895337i | ||||
\(118\) | −7.46556 | − | 8.78854i | −0.687261 | − | 0.809051i | ||||
\(119\) | 6.25882 | 0.573745 | ||||||||
\(120\) | 11.1931 | − | 7.03556i | 1.02178 | − | 0.642256i | ||||
\(121\) | −7.45262 | −0.677511 | ||||||||
\(122\) | −3.00800 | − | 3.54105i | −0.272331 | − | 0.320592i | ||||
\(123\) | 12.9233 | + | 12.9233i | 1.16526 | + | 1.16526i | ||||
\(124\) | −5.13827 | − | 0.842023i | −0.461431 | − | 0.0756159i | ||||
\(125\) | 8.35222 | + | 7.43239i | 0.747045 | + | 0.664773i | ||||
\(126\) | −0.474557 | + | 5.83041i | −0.0422769 | + | 0.519414i | ||||
\(127\) | −14.6472 | + | 14.6472i | −1.29973 | + | 1.29973i | −0.371158 | + | 0.928570i | \(0.621039\pi\) |
−0.928570 | + | 0.371158i | \(0.878961\pi\) | |||||||
\(128\) | 11.0486 | − | 2.43471i | 0.976570 | − | 0.215200i | ||||
\(129\) | − | 23.9662i | − | 2.11011i | ||||||
\(130\) | −2.36992 | + | 2.09367i | −0.207856 | + | 0.183627i | ||||
\(131\) | 17.6084i | 1.53845i | 0.638976 | + | 0.769227i | \(0.279358\pi\) | ||||
−0.638976 | + | 0.769227i | \(0.720642\pi\) | |||||||
\(132\) | 10.4781 | + | 14.5853i | 0.912003 | + | 1.26949i | ||||
\(133\) | −8.48497 | + | 8.48497i | −0.735740 | + | 0.735740i | ||||
\(134\) | 11.5016 | + | 0.936152i | 0.993584 | + | 0.0808713i | ||||
\(135\) | 0.147855 | + | 7.61935i | 0.0127253 | + | 0.655769i | ||||
\(136\) | −5.68845 | − | 1.41405i | −0.487781 | − | 0.121253i | ||||
\(137\) | −8.70018 | − | 8.70018i | −0.743306 | − | 0.743306i | 0.229906 | − | 0.973213i | \(-0.426158\pi\) |
−0.973213 | + | 0.229906i | \(0.926158\pi\) | |||||||
\(138\) | −13.5062 | + | 11.4731i | −1.14973 | + | 0.976653i | ||||
\(139\) | 14.5944 | 1.23788 | 0.618939 | − | 0.785439i | \(-0.287563\pi\) | ||||
0.618939 | + | 0.785439i | \(0.287563\pi\) | |||||||
\(140\) | −13.3684 | − | 1.92518i | −1.12984 | − | 0.162708i | ||||
\(141\) | −12.7240 | −1.07156 | ||||||||
\(142\) | 12.5346 | − | 10.6477i | 1.05188 | − | 0.893535i | ||||
\(143\) | −3.03748 | − | 3.03748i | −0.254007 | − | 0.254007i | ||||
\(144\) | 1.74857 | − | 5.19187i | 0.145714 | − | 0.432656i | ||||
\(145\) | −7.87498 | − | 7.57517i | −0.653982 | − | 0.629084i | ||||
\(146\) | 15.8561 | + | 1.29059i | 1.31226 | + | 0.106810i | ||||
\(147\) | 3.13519 | − | 3.13519i | 0.258586 | − | 0.258586i | ||||
\(148\) | 6.11693 | − | 4.39441i | 0.502809 | − | 0.361218i | ||||
\(149\) | 17.5781i | 1.44005i | 0.693948 | + | 0.720025i | \(0.255870\pi\) | ||||
−0.693948 | + | 0.720025i | \(0.744130\pi\) | |||||||
\(150\) | 14.7678 | + | 0.626663i | 1.20578 | + | 0.0511668i | ||||
\(151\) | 13.3402i | 1.08561i | 0.839858 | + | 0.542806i | \(0.182638\pi\) | ||||
−0.839858 | + | 0.542806i | \(0.817362\pi\) | |||||||
\(152\) | 9.62873 | − | 5.79474i | 0.780993 | − | 0.470015i | ||||
\(153\) | −2.00701 | + | 2.00701i | −0.162257 | + | 0.162257i | ||||
\(154\) | 1.48841 | − | 18.2866i | 0.119940 | − | 1.47358i | ||||
\(155\) | −4.19543 | − | 4.03571i | −0.336985 | − | 0.324156i | ||||
\(156\) | −0.676088 | + | 4.12569i | −0.0541303 | + | 0.330320i | ||||
\(157\) | −3.73828 | − | 3.73828i | −0.298347 | − | 0.298347i | 0.542019 | − | 0.840366i | \(-0.317660\pi\) |
−0.840366 | + | 0.542019i | \(0.817660\pi\) | |||||||
\(158\) | 0.335992 | + | 0.395533i | 0.0267301 | + | 0.0314669i | ||||
\(159\) | −11.1043 | −0.880631 | ||||||||
\(160\) | 11.7152 | + | 4.77005i | 0.926170 | + | 0.377106i | ||||
\(161\) | 18.1045 | 1.42683 | ||||||||
\(162\) | 10.2847 | + | 12.1073i | 0.808042 | + | 0.951235i | ||||
\(163\) | −12.2870 | − | 12.2870i | −0.962394 | − | 0.962394i | 0.0369238 | − | 0.999318i | \(-0.488244\pi\) |
−0.999318 | + | 0.0369238i | \(0.988244\pi\) | |||||||
\(164\) | −2.82781 | + | 17.2561i | −0.220815 | + | 1.34748i | ||||
\(165\) | 0.389556 | + | 20.0749i | 0.0303269 | + | 1.56283i | ||||
\(166\) | 1.09191 | − | 13.4152i | 0.0847489 | − | 1.04122i | ||||
\(167\) | −1.42933 | + | 1.42933i | −0.110605 | + | 0.110605i | −0.760243 | − | 0.649638i | \(-0.774920\pi\) |
0.649638 | + | 0.760243i | \(0.274920\pi\) | |||||||
\(168\) | −15.2993 | + | 9.20738i | −1.18037 | + | 0.710365i | ||||
\(169\) | − | 1.00000i | − | 0.0769231i | ||||||
\(170\) | −4.33888 | − | 4.91138i | −0.332777 | − | 0.376686i | ||||
\(171\) | − | 5.44172i | − | 0.416139i | ||||||
\(172\) | 18.6228 | − | 13.3786i | 1.41998 | − | 1.02011i | ||||
\(173\) | 2.79978 | − | 2.79978i | 0.212863 | − | 0.212863i | −0.592620 | − | 0.805483i | \(-0.701906\pi\) |
0.805483 | + | 0.592620i | \(0.201906\pi\) | |||||||
\(174\) | −14.3985 | − | 1.17194i | −1.09155 | − | 0.0888447i | ||||
\(175\) | −11.0839 | − | 10.2554i | −0.837866 | − | 0.775237i | ||||
\(176\) | −5.48424 | + | 16.2839i | −0.413390 | + | 1.22744i | ||||
\(177\) | −12.0524 | − | 12.0524i | −0.905912 | − | 0.905912i | ||||
\(178\) | −14.0917 | + | 11.9704i | −1.05621 | + | 0.897217i | ||||
\(179\) | −8.68164 | −0.648896 | −0.324448 | − | 0.945904i | \(-0.605179\pi\) | ||||
−0.324448 | + | 0.945904i | \(0.605179\pi\) | |||||||
\(180\) | 4.90418 | − | 3.66949i | 0.365536 | − | 0.273508i | ||||
\(181\) | −0.0950279 | −0.00706337 | −0.00353168 | − | 0.999994i | \(-0.501124\pi\) | ||||
−0.00353168 | + | 0.999994i | \(0.501124\pi\) | |||||||
\(182\) | 3.25517 | − | 2.76515i | 0.241289 | − | 0.204967i | ||||
\(183\) | −4.85610 | − | 4.85610i | −0.358974 | − | 0.358974i | ||||
\(184\) | −16.4546 | − | 4.09032i | −1.21305 | − | 0.301542i | ||||
\(185\) | 8.41920 | − | 0.163376i | 0.618992 | − | 0.0120116i | ||||
\(186\) | −7.67086 | − | 0.624358i | −0.562454 | − | 0.0457801i | ||||
\(187\) | 6.29482 | − | 6.29482i | 0.460323 | − | 0.460323i | ||||
\(188\) | −7.10293 | − | 9.88714i | −0.518034 | − | 0.721093i | ||||
\(189\) | − | 10.2929i | − | 0.748698i | ||||||
\(190\) | 12.5404 | + | 0.776133i | 0.909777 | + | 0.0563066i | ||||
\(191\) | − | 5.96438i | − | 0.431567i | −0.976441 | − | 0.215784i | \(-0.930769\pi\) | ||
0.976441 | − | 0.215784i | \(-0.0692306\pi\) | |||||||
\(192\) | 15.9853 | − | 4.91177i | 1.15364 | − | 0.354476i | ||||
\(193\) | −3.24110 | + | 3.24110i | −0.233299 | + | 0.233299i | −0.814068 | − | 0.580769i | \(-0.802752\pi\) |
0.580769 | + | 0.814068i | \(0.302752\pi\) | |||||||
\(194\) | 0.700291 | − | 8.60377i | 0.0502779 | − | 0.617715i | ||||
\(195\) | −3.24040 | + | 3.36865i | −0.232050 | + | 0.241234i | ||||
\(196\) | 4.18633 | + | 0.686026i | 0.299024 | + | 0.0490018i | ||||
\(197\) | 15.8014 | + | 15.8014i | 1.12580 | + | 1.12580i | 0.990852 | + | 0.134952i | \(0.0430879\pi\) |
0.134952 | + | 0.990852i | \(0.456912\pi\) | |||||||
\(198\) | 5.38666 | + | 6.34123i | 0.382813 | + | 0.450651i | ||||
\(199\) | 3.64228 | 0.258195 | 0.129097 | − | 0.991632i | \(-0.458792\pi\) | ||||
0.129097 | + | 0.991632i | \(0.458792\pi\) | |||||||
\(200\) | 7.75685 | + | 11.8250i | 0.548492 | + | 0.836155i | ||||
\(201\) | 17.0568 | 1.20309 | ||||||||
\(202\) | −0.286564 | − | 0.337346i | −0.0201626 | − | 0.0237356i | ||||
\(203\) | 10.4357 | + | 10.4357i | 0.732445 | + | 0.732445i | ||||
\(204\) | −8.54999 | − | 1.40111i | −0.598619 | − | 0.0980973i | ||||
\(205\) | −13.5533 | + | 14.0897i | −0.946606 | + | 0.984071i | ||||
\(206\) | −0.549993 | + | 6.75722i | −0.0383199 | + | 0.470798i | ||||
\(207\) | −5.80554 | + | 5.80554i | −0.403513 | + | 0.403513i | ||||
\(208\) | −3.58325 | + | 1.77773i | −0.248454 | + | 0.123263i | ||||
\(209\) | 17.0675i | 1.18059i | ||||||||
\(210\) | −19.9257 | − | 1.23321i | −1.37501 | − | 0.0850999i | ||||
\(211\) | 19.8397i | 1.36582i | 0.730502 | + | 0.682910i | \(0.239286\pi\) | ||||
−0.730502 | + | 0.682910i | \(0.760714\pi\) | |||||||
\(212\) | −6.19875 | − | 8.62854i | −0.425732 | − | 0.592611i | ||||
\(213\) | 17.1896 | − | 17.1896i | 1.17781 | − | 1.17781i | ||||
\(214\) | 8.97943 | + | 0.730867i | 0.613821 | + | 0.0499611i | ||||
\(215\) | 25.6320 | − | 0.497392i | 1.74809 | − | 0.0339219i | ||||
\(216\) | −2.32546 | + | 9.35491i | −0.158227 | + | 0.636521i | ||||
\(217\) | 5.55968 | + | 5.55968i | 0.377416 | + | 0.377416i | ||||
\(218\) | 6.15517 | − | 5.22861i | 0.416881 | − | 0.354126i | ||||
\(219\) | 23.5146 | 1.58897 | ||||||||
\(220\) | −15.3816 | + | 11.5091i | −1.03703 | + | 0.775942i | ||||
\(221\) | 2.07238 | 0.139403 | ||||||||
\(222\) | 8.48474 | − | 7.20749i | 0.569458 | − | 0.483735i | ||||
\(223\) | −0.645607 | − | 0.645607i | −0.0432330 | − | 0.0432330i | 0.685160 | − | 0.728393i | \(-0.259732\pi\) |
−0.728393 | + | 0.685160i | \(0.759732\pi\) | |||||||
\(224\) | −15.6950 | − | 6.74838i | −1.04867 | − | 0.450895i | ||||
\(225\) | 6.84286 | − | 0.265673i | 0.456190 | − | 0.0177116i | ||||
\(226\) | −23.3897 | − | 1.90377i | −1.55586 | − | 0.126637i | ||||
\(227\) | 3.52923 | − | 3.52923i | 0.234243 | − | 0.234243i | −0.580218 | − | 0.814461i | \(-0.697033\pi\) |
0.814461 | + | 0.580218i | \(0.197033\pi\) | |||||||
\(228\) | 13.4905 | − | 9.69161i | 0.893432 | − | 0.641842i | ||||
\(229\) | − | 16.3084i | − | 1.07769i | −0.842406 | − | 0.538843i | \(-0.818862\pi\) | ||
0.842406 | − | 0.538843i | \(-0.181138\pi\) | |||||||
\(230\) | −12.5508 | − | 14.2068i | −0.827575 | − | 0.936772i | ||||
\(231\) | − | 27.1190i | − | 1.78430i | ||||||
\(232\) | −7.12699 | − | 11.8425i | −0.467910 | − | 0.777495i | ||||
\(233\) | 20.1489 | − | 20.1489i | 1.32000 | − | 1.32000i | 0.406231 | − | 0.913770i | \(-0.366843\pi\) |
0.913770 | − | 0.406231i | \(-0.133157\pi\) | |||||||
\(234\) | −0.157132 | + | 1.93053i | −0.0102721 | + | 0.126202i | ||||
\(235\) | −0.264073 | − | 13.6084i | −0.0172262 | − | 0.887715i | ||||
\(236\) | 2.63723 | − | 16.0932i | 0.171669 | − | 1.04758i | ||||
\(237\) | 0.542424 | + | 0.542424i | 0.0352343 | + | 0.0352343i | ||||
\(238\) | 5.73044 | + | 6.74594i | 0.371449 | + | 0.437274i | ||||
\(239\) | 5.43664 | 0.351667 | 0.175833 | − | 0.984420i | \(-0.443738\pi\) | ||||
0.175833 | + | 0.984420i | \(0.443738\pi\) | |||||||
\(240\) | 17.8313 | + | 5.62262i | 1.15100 | + | 0.362939i | ||||
\(241\) | 2.60978 | 0.168111 | 0.0840554 | − | 0.996461i | \(-0.473213\pi\) | ||||
0.0840554 | + | 0.996461i | \(0.473213\pi\) | |||||||
\(242\) | −6.82346 | − | 8.03266i | −0.438629 | − | 0.516359i | ||||
\(243\) | 9.37386 | + | 9.37386i | 0.601334 | + | 0.601334i | ||||
\(244\) | 1.06259 | − | 6.48422i | 0.0680251 | − | 0.415110i | ||||
\(245\) | 3.41817 | + | 3.28803i | 0.218379 | + | 0.210065i | ||||
\(246\) | −2.09681 | + | 25.7615i | −0.133688 | + | 1.64249i | ||||
\(247\) | −2.80949 | + | 2.80949i | −0.178763 | + | 0.178763i | ||||
\(248\) | −3.79694 | − | 6.30912i | −0.241106 | − | 0.400630i | ||||
\(249\) | − | 19.8947i | − | 1.26078i | ||||||
\(250\) | −0.363730 | + | 15.8072i | −0.0230043 | + | 0.999735i | ||||
\(251\) | 18.9575i | 1.19659i | 0.801277 | + | 0.598293i | \(0.204154\pi\) | ||||
−0.801277 | + | 0.598293i | \(0.795846\pi\) | |||||||
\(252\) | −6.71868 | + | 4.82670i | −0.423237 | + | 0.304054i | ||||
\(253\) | 18.2086 | − | 18.2086i | 1.14477 | − | 1.14477i | ||||
\(254\) | −29.1978 | − | 2.37651i | −1.83203 | − | 0.149116i | ||||
\(255\) | −6.98112 | − | 6.71534i | −0.437175 | − | 0.420531i | ||||
\(256\) | 12.7401 | + | 9.67936i | 0.796256 | + | 0.604960i | ||||
\(257\) | 6.12196 | + | 6.12196i | 0.381878 | + | 0.381878i | 0.871778 | − | 0.489901i | \(-0.162967\pi\) |
−0.489901 | + | 0.871778i | \(0.662967\pi\) | |||||||
\(258\) | 25.8315 | − | 21.9430i | 1.60820 | − | 1.36611i | ||||
\(259\) | −11.3734 | −0.706709 | ||||||||
\(260\) | −4.42647 | − | 0.637454i | −0.274518 | − | 0.0395332i | ||||
\(261\) | −6.69282 | −0.414275 | ||||||||
\(262\) | −18.9788 | + | 16.1219i | −1.17252 | + | 0.996013i | ||||
\(263\) | −20.6073 | − | 20.6073i | −1.27070 | − | 1.27070i | −0.945721 | − | 0.324979i | \(-0.894643\pi\) |
−0.324979 | − | 0.945721i | \(-0.605357\pi\) | |||||||
\(264\) | −6.12695 | + | 24.6476i | −0.377088 | + | 1.51696i | ||||
\(265\) | −0.230458 | − | 11.8761i | −0.0141569 | − | 0.729544i | ||||
\(266\) | −16.9140 | − | 1.37669i | −1.03706 | − | 0.0844102i | ||||
\(267\) | −19.3249 | + | 19.3249i | −1.18267 | + | 1.18267i | ||||
\(268\) | 9.52158 | + | 13.2538i | 0.581623 | + | 0.809607i | ||||
\(269\) | − | 3.60317i | − | 0.219689i | −0.993949 | − | 0.109845i | \(-0.964965\pi\) | ||
0.993949 | − | 0.109845i | \(-0.0350354\pi\) | |||||||
\(270\) | −8.07698 | + | 7.13547i | −0.491549 | + | 0.434251i | ||||
\(271\) | 0.457132i | 0.0277688i | 0.999904 | + | 0.0138844i | \(0.00441968\pi\) | ||||
−0.999904 | + | 0.0138844i | \(0.995580\pi\) | |||||||
\(272\) | −3.68413 | − | 7.42585i | −0.223383 | − | 0.450258i | ||||
\(273\) | 4.46405 | − | 4.46405i | 0.270177 | − | 0.270177i | ||||
\(274\) | 1.41161 | − | 17.3430i | 0.0852783 | − | 1.04773i | ||||
\(275\) | −21.4621 | + | 0.833264i | −1.29421 | + | 0.0502477i | ||||
\(276\) | −24.7320 | − | 4.05290i | −1.48869 | − | 0.243956i | ||||
\(277\) | 12.0146 | + | 12.0146i | 0.721888 | + | 0.721888i | 0.968990 | − | 0.247101i | \(-0.0794781\pi\) |
−0.247101 | + | 0.968990i | \(0.579478\pi\) | |||||||
\(278\) | 13.3623 | + | 15.7302i | 0.801417 | + | 0.943436i | ||||
\(279\) | −3.56563 | −0.213469 | ||||||||
\(280\) | −10.1648 | − | 16.1716i | −0.607466 | − | 0.966436i | ||||
\(281\) | −10.5016 | −0.626473 | −0.313236 | − | 0.949675i | \(-0.601413\pi\) | ||||
−0.313236 | + | 0.949675i | \(0.601413\pi\) | |||||||
\(282\) | −11.6499 | − | 13.7144i | −0.693740 | − | 0.816678i | ||||
\(283\) | 5.62753 | + | 5.62753i | 0.334522 | + | 0.334522i | 0.854301 | − | 0.519779i | \(-0.173986\pi\) |
−0.519779 | + | 0.854301i | \(0.673986\pi\) | |||||||
\(284\) | 22.9528 | + | 3.76133i | 1.36200 | + | 0.223194i | ||||
\(285\) | 18.5680 | − | 0.360316i | 1.09988 | − | 0.0213433i | ||||
\(286\) | 0.492833 | − | 6.05495i | 0.0291418 | − | 0.358036i | ||||
\(287\) | 18.6714 | − | 18.6714i | 1.10214 | − | 1.10214i | ||||
\(288\) | 7.19689 | − | 2.86891i | 0.424081 | − | 0.169052i | ||||
\(289\) | − | 12.7052i | − | 0.747367i | ||||||
\(290\) | 0.954573 | − | 15.4236i | 0.0560544 | − | 0.905702i | ||||
\(291\) | − | 12.7593i | − | 0.747966i | ||||||
\(292\) | 13.1265 | + | 18.2719i | 0.768171 | + | 1.06928i | ||||
\(293\) | 6.46294 | − | 6.46294i | 0.377569 | − | 0.377569i | −0.492655 | − | 0.870224i | \(-0.663974\pi\) |
0.870224 | + | 0.492655i | \(0.163974\pi\) | |||||||
\(294\) | 6.24972 | + | 0.508686i | 0.364491 | + | 0.0296672i | ||||
\(295\) | 12.6399 | − | 13.1402i | 0.735925 | − | 0.765052i | ||||
\(296\) | 10.3370 | + | 2.56958i | 0.600823 | + | 0.149354i | ||||
\(297\) | −10.3521 | − | 10.3521i | −0.600690 | − | 0.600690i | ||||
\(298\) | −18.9461 | + | 16.0941i | −1.09752 | + | 0.932306i | ||||
\(299\) | 5.99464 | 0.346679 | ||||||||
\(300\) | 12.8456 | + | 16.4909i | 0.741643 | + | 0.952103i | ||||
\(301\) | −34.6260 | −1.99581 | ||||||||
\(302\) | −14.3785 | + | 12.2140i | −0.827389 | + | 0.702839i | ||||
\(303\) | −0.462628 | − | 0.462628i | −0.0265773 | − | 0.0265773i | ||||
\(304\) | 15.0616 | + | 5.07259i | 0.863842 | + | 0.290933i | ||||
\(305\) | 5.09284 | − | 5.29440i | 0.291615 | − | 0.303157i | ||||
\(306\) | −4.00078 | − | 0.325637i | −0.228709 | − | 0.0186155i | ||||
\(307\) | 8.42038 | − | 8.42038i | 0.480576 | − | 0.480576i | −0.424739 | − | 0.905316i | \(-0.639634\pi\) |
0.905316 | + | 0.424739i | \(0.139634\pi\) | |||||||
\(308\) | 21.0726 | − | 15.1386i | 1.20072 | − | 0.862601i | ||||
\(309\) | 10.0209i | 0.570070i | ||||||||
\(310\) | 0.508553 | − | 8.21697i | 0.0288839 | − | 0.466692i | ||||
\(311\) | − | 6.97059i | − | 0.395266i | −0.980276 | − | 0.197633i | \(-0.936675\pi\) | ||
0.980276 | − | 0.197633i | \(-0.0633254\pi\) | |||||||
\(312\) | −5.06580 | + | 3.04869i | −0.286794 | + | 0.172598i | ||||
\(313\) | −4.53807 | + | 4.53807i | −0.256507 | + | 0.256507i | −0.823632 | − | 0.567125i | \(-0.808056\pi\) |
0.567125 | + | 0.823632i | \(0.308056\pi\) | |||||||
\(314\) | 0.606538 | − | 7.45192i | 0.0342289 | − | 0.420536i | ||||
\(315\) | −9.24743 | + | 0.179448i | −0.521034 | + | 0.0101107i | ||||
\(316\) | −0.118690 | + | 0.724284i | −0.00667685 | + | 0.0407442i | ||||
\(317\) | −9.39642 | − | 9.39642i | −0.527755 | − | 0.527755i | 0.392147 | − | 0.919902i | \(-0.371732\pi\) |
−0.919902 | + | 0.392147i | \(0.871732\pi\) | |||||||
\(318\) | −10.1669 | − | 11.9686i | −0.570131 | − | 0.671164i | ||||
\(319\) | 20.9915 | 1.17530 | ||||||||
\(320\) | 5.58491 | + | 16.9944i | 0.312206 | + | 0.950014i | ||||
\(321\) | 13.3165 | 0.743252 | ||||||||
\(322\) | 16.5761 | + | 19.5135i | 0.923749 | + | 1.08745i | ||||
\(323\) | −5.82232 | − | 5.82232i | −0.323963 | − | 0.323963i | ||||
\(324\) | −3.63310 | + | 22.1703i | −0.201839 | + | 1.23168i | ||||
\(325\) | −3.67004 | − | 3.39571i | −0.203577 | − | 0.188360i | ||||
\(326\) | 1.99358 | − | 24.4931i | 0.110414 | − | 1.35655i | ||||
\(327\) | 8.44104 | − | 8.44104i | 0.466791 | − | 0.466791i | ||||
\(328\) | −21.1883 | + | 12.7515i | −1.16993 | + | 0.704082i | ||||
\(329\) | 18.3835i | 1.01351i | ||||||||
\(330\) | −21.2806 | + | 18.8000i | −1.17146 | + | 1.03491i | ||||
\(331\) | 23.5550i | 1.29470i | 0.762193 | + | 0.647350i | \(0.224123\pi\) | ||||
−0.762193 | + | 0.647350i | \(0.775877\pi\) | |||||||
\(332\) | 15.4591 | − | 11.1058i | 0.848427 | − | 0.609511i | ||||
\(333\) | 3.64709 | − | 3.64709i | 0.199860 | − | 0.199860i | ||||
\(334\) | −2.84924 | − | 0.231910i | −0.155904 | − | 0.0126895i | ||||
\(335\) | 0.353994 | + | 18.2423i | 0.0193408 | + | 0.996682i | ||||
\(336\) | −23.9317 | − | 8.05994i | −1.30558 | − | 0.439706i | ||||
\(337\) | 18.3649 | + | 18.3649i | 1.00040 | + | 1.00040i | 1.00000 | 0.000402010i | \(0.000127964\pi\) | |
0.000402010 | 1.00000i | \(0.499872\pi\) | ||||||||
\(338\) | 1.07783 | − | 0.915579i | 0.0586262 | − | 0.0498009i | ||||
\(339\) | −34.6868 | −1.88393 | ||||||||
\(340\) | 1.32105 | − | 9.17333i | 0.0716438 | − | 0.497493i | ||||
\(341\) | 11.1833 | 0.605611 | ||||||||
\(342\) | 5.86525 | − | 4.98232i | 0.317156 | − | 0.269413i | ||||
\(343\) | 10.4191 | + | 10.4191i | 0.562580 | + | 0.562580i | ||||
\(344\) | 31.4705 | + | 7.82300i | 1.69678 | + | 0.421788i | ||||
\(345\) | −20.1938 | − | 19.4250i | −1.08720 | − | 1.04581i | ||||
\(346\) | 5.58109 | + | 0.454265i | 0.300042 | + | 0.0244214i | ||||
\(347\) | −4.92152 | + | 4.92152i | −0.264201 | + | 0.264201i | −0.826758 | − | 0.562557i | \(-0.809818\pi\) |
0.562557 | + | 0.826758i | \(0.309818\pi\) | |||||||
\(348\) | −11.9198 | − | 16.5921i | −0.638968 | − | 0.889430i | ||||
\(349\) | 27.7646i | 1.48620i | 0.669178 | + | 0.743102i | \(0.266646\pi\) | ||||
−0.669178 | + | 0.743102i | \(0.733354\pi\) | |||||||
\(350\) | 0.905391 | − | 21.3362i | 0.0483952 | − | 1.14047i | ||||
\(351\) | − | 3.40812i | − | 0.181912i | ||||||
\(352\) | −22.5725 | + | 8.99811i | −1.20312 | + | 0.479601i | ||||
\(353\) | 13.3210 | − | 13.3210i | 0.709006 | − | 0.709006i | −0.257320 | − | 0.966326i | \(-0.582839\pi\) |
0.966326 | + | 0.257320i | \(0.0828394\pi\) | |||||||
\(354\) | 1.95550 | − | 24.0253i | 0.103934 | − | 1.27693i | ||||
\(355\) | 18.7411 | + | 18.0276i | 0.994674 | + | 0.956805i | ||||
\(356\) | −25.8040 | − | 4.22857i | −1.36761 | − | 0.224114i | ||||
\(357\) | 9.25121 | + | 9.25121i | 0.489626 | + | 0.489626i | ||||
\(358\) | −7.94872 | − | 9.35732i | −0.420103 | − | 0.494550i | ||||
\(359\) | −8.90624 | −0.470053 | −0.235027 | − | 0.971989i | \(-0.575518\pi\) | ||||
−0.235027 | + | 0.971989i | \(0.575518\pi\) | |||||||
\(360\) | 8.44525 | + | 1.92616i | 0.445104 | + | 0.101518i | ||||
\(361\) | −3.21358 | −0.169136 | ||||||||
\(362\) | −0.0870055 | − | 0.102424i | −0.00457291 | − | 0.00538328i | ||||
\(363\) | −11.0158 | − | 11.0158i | −0.578178 | − | 0.578178i | ||||
\(364\) | 5.96072 | + | 0.976799i | 0.312427 | + | 0.0511982i | ||||
\(365\) | 0.488019 | + | 25.1489i | 0.0255441 | + | 1.31636i | ||||
\(366\) | 0.787905 | − | 9.68020i | 0.0411845 | − | 0.505992i | ||||
\(367\) | 10.3401 | − | 10.3401i | 0.539747 | − | 0.539747i | −0.383708 | − | 0.923455i | \(-0.625353\pi\) |
0.923455 | + | 0.383708i | \(0.125353\pi\) | |||||||
\(368\) | −10.6568 | − | 21.4803i | −0.555526 | − | 1.11974i | ||||
\(369\) | 11.9746i | 0.623375i | ||||||||
\(370\) | 7.88453 | + | 8.92487i | 0.409897 | + | 0.463982i | ||||
\(371\) | 16.0433i | 0.832928i | ||||||||
\(372\) | −6.35032 | − | 8.83952i | −0.329249 | − | 0.458308i | ||||
\(373\) | −12.7410 | + | 12.7410i | −0.659704 | + | 0.659704i | −0.955310 | − | 0.295606i | \(-0.904478\pi\) |
0.295606 | + | 0.955310i | \(0.404478\pi\) | |||||||
\(374\) | 12.5481 | + | 1.02134i | 0.648849 | + | 0.0528121i | ||||
\(375\) | 1.35961 | + | 23.3313i | 0.0702100 | + | 1.20483i | ||||
\(376\) | 4.15335 | − | 16.7082i | 0.214193 | − | 0.861659i | ||||
\(377\) | 3.45541 | + | 3.45541i | 0.177963 | + | 0.177963i | ||||
\(378\) | 11.0940 | − | 9.42396i | 0.570613 | − | 0.484716i | ||||
\(379\) | −21.1631 | −1.08707 | −0.543536 | − | 0.839386i | \(-0.682915\pi\) | ||||
−0.543536 | + | 0.839386i | \(0.682915\pi\) | |||||||
\(380\) | 10.6452 | + | 14.2270i | 0.546087 | + | 0.729831i | ||||
\(381\) | −43.3002 | −2.21834 | ||||||||
\(382\) | 6.42858 | − | 5.46086i | 0.328915 | − | 0.279402i | ||||
\(383\) | 3.58070 | + | 3.58070i | 0.182965 | + | 0.182965i | 0.792647 | − | 0.609681i | \(-0.208703\pi\) |
−0.609681 | + | 0.792647i | \(0.708703\pi\) | |||||||
\(384\) | 19.9298 | + | 12.7323i | 1.01704 | + | 0.649742i | ||||
\(385\) | 29.0038 | − | 0.562824i | 1.47817 | − | 0.0286842i | ||||
\(386\) | −6.46083 | − | 0.525869i | −0.328848 | − | 0.0267660i | ||||
\(387\) | 11.1035 | − | 11.1035i | 0.564421 | − | 0.564421i | ||||
\(388\) | 9.91456 | − | 7.12263i | 0.503336 | − | 0.361597i | ||||
\(389\) | − | 28.5321i | − | 1.44664i | −0.690515 | − | 0.723318i | \(-0.742616\pi\) | ||
0.690515 | − | 0.723318i | \(-0.257384\pi\) | |||||||
\(390\) | −6.59767 | − | 0.408334i | −0.334086 | − | 0.0206768i | ||||
\(391\) | 12.4232i | 0.628266i | ||||||||
\(392\) | 3.09350 | + | 5.14026i | 0.156245 | + | 0.259623i | ||||
\(393\) | −26.0271 | + | 26.0271i | −1.31289 | + | 1.31289i | ||||
\(394\) | −2.56379 | + | 31.4987i | −0.129162 | + | 1.58688i | ||||
\(395\) | −0.568868 | + | 0.591382i | −0.0286228 | + | 0.0297557i | ||||
\(396\) | −1.90285 | + | 11.6118i | −0.0956220 | + | 0.583514i | ||||
\(397\) | 18.2367 | + | 18.2367i | 0.915275 | + | 0.915275i | 0.996681 | − | 0.0814058i | \(-0.0259410\pi\) |
−0.0814058 | + | 0.996681i | \(0.525941\pi\) | |||||||
\(398\) | 3.33480 | + | 3.92576i | 0.167158 | + | 0.196780i | ||||
\(399\) | −25.0834 | −1.25574 | ||||||||
\(400\) | −5.64334 | + | 19.1873i | −0.282167 | + | 0.959365i | ||||
\(401\) | −25.8190 | −1.28934 | −0.644669 | − | 0.764462i | \(-0.723005\pi\) | ||||
−0.644669 | + | 0.764462i | \(0.723005\pi\) | |||||||
\(402\) | 15.6168 | + | 18.3843i | 0.778896 | + | 0.916925i | ||||
\(403\) | 1.84089 | + | 1.84089i | 0.0917010 | + | 0.0917010i | ||||
\(404\) | 0.101230 | − | 0.617734i | 0.00503636 | − | 0.0307334i | ||||
\(405\) | −17.4130 | + | 18.1022i | −0.865259 | + | 0.899504i | ||||
\(406\) | −1.69320 | + | 20.8027i | −0.0840322 | + | 1.03242i | ||||
\(407\) | −11.4388 | + | 11.4388i | −0.567002 | + | 0.567002i | ||||
\(408\) | −6.31803 | − | 10.4983i | −0.312789 | − | 0.519741i | ||||
\(409\) | − | 7.10884i | − | 0.351510i | −0.984434 | − | 0.175755i | \(-0.943763\pi\) | ||
0.984434 | − | 0.175755i | \(-0.0562366\pi\) | |||||||
\(410\) | −27.5955 | − | 1.70790i | −1.36284 | − | 0.0843472i | ||||
\(411\) | − | 25.7196i | − | 1.26865i | ||||||
\(412\) | −7.78669 | + | 5.59397i | −0.383623 | + | 0.275595i | ||||
\(413\) | −17.4131 | + | 17.4131i | −0.856841 | + | 0.856841i | ||||
\(414\) | −11.5728 | − | 0.941951i | −0.568772 | − | 0.0462944i | ||||
\(415\) | 21.2775 | − | 0.412893i | 1.04447 | − | 0.0202681i | ||||
\(416\) | −5.19684 | − | 2.23448i | −0.254796 | − | 0.109554i | ||||
\(417\) | 21.5720 | + | 21.5720i | 1.05639 | + | 1.05639i | ||||
\(418\) | −18.3959 | + | 15.6267i | −0.899773 | + | 0.764326i | ||||
\(419\) | 28.0231 | 1.36902 | 0.684508 | − | 0.729005i | \(-0.260017\pi\) | ||||
0.684508 | + | 0.729005i | \(0.260017\pi\) | |||||||
\(420\) | −16.9144 | − | 22.6056i | −0.825337 | − | 1.10304i | ||||
\(421\) | 13.5079 | 0.658333 | 0.329167 | − | 0.944272i | \(-0.393232\pi\) | ||||
0.329167 | + | 0.944272i | \(0.393232\pi\) | |||||||
\(422\) | −21.3838 | + | 18.1648i | −1.04095 | + | 0.884249i | ||||
\(423\) | −5.89500 | − | 5.89500i | −0.286625 | − | 0.286625i | ||||
\(424\) | 3.62465 | − | 14.5813i | 0.176028 | − | 0.708131i | ||||
\(425\) | 7.03720 | − | 7.60570i | 0.341354 | − | 0.368931i | ||||
\(426\) | 34.2659 | + | 2.78902i | 1.66019 | + | 0.135128i | ||||
\(427\) | −7.01601 | + | 7.01601i | −0.339529 | + | 0.339529i | ||||
\(428\) | 7.43363 | + | 10.3475i | 0.359318 | + | 0.500163i | ||||
\(429\) | − | 8.97946i | − | 0.433532i | ||||||
\(430\) | 24.0042 | + | 27.1715i | 1.15759 | + | 1.31033i | ||||
\(431\) | 29.9171i | 1.44106i | 0.693425 | + | 0.720529i | \(0.256101\pi\) | ||||
−0.693425 | + | 0.720529i | \(0.743899\pi\) | |||||||
\(432\) | −12.2121 | + | 6.05871i | −0.587557 | + | 0.291500i | ||||
\(433\) | 26.5560 | − | 26.5560i | 1.27620 | − | 1.27620i | 0.333422 | − | 0.942778i | \(-0.391797\pi\) |
0.942778 | − | 0.333422i | \(-0.108203\pi\) | |||||||
\(434\) | −0.902061 | + | 11.0827i | −0.0433003 | + | 0.531987i | ||||
\(435\) | −0.443155 | − | 22.8370i | −0.0212477 | − | 1.09495i | ||||
\(436\) | 11.2711 | + | 1.84702i | 0.539787 | + | 0.0884563i | ||||
\(437\) | −16.8419 | − | 16.8419i | −0.805655 | − | 0.805655i | ||||
\(438\) | 21.5295 | + | 25.3447i | 1.02872 | + | 1.21102i | ||||
\(439\) | 7.05856 | 0.336886 | 0.168443 | − | 0.985711i | \(-0.446126\pi\) | ||||
0.168443 | + | 0.985711i | \(0.446126\pi\) | |||||||
\(440\) | −26.4879 | − | 6.04126i | −1.26276 | − | 0.288006i | ||||
\(441\) | 2.90504 | 0.138335 | ||||||||
\(442\) | 1.89743 | + | 2.23367i | 0.0902514 | + | 0.106245i | ||||
\(443\) | 23.3647 | + | 23.3647i | 1.11009 | + | 1.11009i | 0.993138 | + | 0.116951i | \(0.0373121\pi\) |
0.116951 | + | 0.993138i | \(0.462688\pi\) | |||||||
\(444\) | 15.5369 | + | 2.54607i | 0.737348 | + | 0.120831i | ||||
\(445\) | −21.0692 | − | 20.2670i | −0.998774 | − | 0.960749i | ||||
\(446\) | 0.104750 | − | 1.28696i | 0.00496005 | − | 0.0609392i | ||||
\(447\) | −25.9823 | + | 25.9823i | −1.22892 | + | 1.22892i | ||||
\(448\) | −7.09643 | − | 23.0952i | −0.335275 | − | 1.09115i | ||||
\(449\) | 35.3071i | 1.66625i | 0.553087 | + | 0.833123i | \(0.313450\pi\) | ||||
−0.553087 | + | 0.833123i | \(0.686550\pi\) | |||||||
\(450\) | 6.55152 | + | 7.13218i | 0.308842 | + | 0.336214i | ||||
\(451\) | − | 37.5576i | − | 1.76852i | ||||||
\(452\) | −19.3631 | − | 26.9531i | −0.910766 | − | 1.26777i | ||||
\(453\) | −19.7183 | + | 19.7183i | −0.926446 | + | 0.926446i | ||||
\(454\) | 7.03520 | + | 0.572620i | 0.330178 | + | 0.0268744i | ||||
\(455\) | 4.86697 | + | 4.68167i | 0.228167 | + | 0.219480i | ||||
\(456\) | 22.7975 | + | 5.66705i | 1.06759 | + | 0.265384i | ||||
\(457\) | 1.06008 | + | 1.06008i | 0.0495883 | + | 0.0495883i | 0.731466 | − | 0.681878i | \(-0.238836\pi\) |
−0.681878 | + | 0.731466i | \(0.738836\pi\) | |||||||
\(458\) | 17.5776 | − | 14.9316i | 0.821348 | − | 0.697707i | ||||
\(459\) | 7.06291 | 0.329668 | ||||||||
\(460\) | 3.82131 | − | 26.5351i | 0.178169 | − | 1.23721i | ||||
\(461\) | −8.62625 | −0.401764 | −0.200882 | − | 0.979615i | \(-0.564381\pi\) | ||||
−0.200882 | + | 0.979615i | \(0.564381\pi\) | |||||||
\(462\) | 29.2296 | − | 24.8296i | 1.35989 | − | 1.15518i | ||||
\(463\) | −26.6830 | − | 26.6830i | −1.24006 | − | 1.24006i | −0.959974 | − | 0.280090i | \(-0.909636\pi\) |
−0.280090 | − | 0.959974i | \(-0.590364\pi\) | |||||||
\(464\) | 6.23882 | − | 18.5244i | 0.289630 | − | 0.859973i | ||||
\(465\) | −0.236093 | − | 12.1665i | −0.0109485 | − | 0.564208i | ||||
\(466\) | 40.1651 | + | 3.26918i | 1.86061 | + | 0.151442i | ||||
\(467\) | 7.93447 | − | 7.93447i | 0.367164 | − | 0.367164i | −0.499278 | − | 0.866442i | \(-0.666401\pi\) |
0.866442 | + | 0.499278i | \(0.166401\pi\) | |||||||
\(468\) | −2.22464 | + | 1.59819i | −0.102834 | + | 0.0738762i | ||||
\(469\) | − | 24.6433i | − | 1.13792i | ||||||
\(470\) | 14.4258 | − | 12.7442i | 0.665411 | − | 0.587846i | ||||
\(471\) | − | 11.0512i | − | 0.509211i | ||||||
\(472\) | 19.7603 | − | 11.8921i | 0.909542 | − | 0.547378i | ||||
\(473\) | −34.8251 | + | 34.8251i | −1.60126 | + | 1.60126i | ||||
\(474\) | −0.0880086 | + | 1.08127i | −0.00404237 | + | 0.0496645i | ||||
\(475\) | 0.770718 | + | 19.8511i | 0.0353630 | + | 0.910831i | ||||
\(476\) | −2.02430 | + | 12.3529i | −0.0927835 | + | 0.566193i | ||||
\(477\) | −5.14459 | − | 5.14459i | −0.235555 | − | 0.235555i | ||||
\(478\) | 4.97767 | + | 5.85977i | 0.227673 | + | 0.268019i | ||||
\(479\) | −4.69895 | −0.214701 | −0.107350 | − | 0.994221i | \(-0.534237\pi\) | ||||
−0.107350 | + | 0.994221i | \(0.534237\pi\) | |||||||
\(480\) | 10.2657 | + | 24.3670i | 0.468563 | + | 1.11220i | ||||
\(481\) | −3.76589 | −0.171710 | ||||||||
\(482\) | 2.38946 | + | 2.81290i | 0.108837 | + | 0.128124i | ||||
\(483\) | 26.7604 | + | 26.7604i | 1.21764 | + | 1.21764i | ||||
\(484\) | 2.41041 | − | 14.7091i | 0.109564 | − | 0.668594i | ||||
\(485\) | 13.6462 | − | 0.264806i | 0.619641 | − | 0.0120242i | ||||
\(486\) | −1.52091 | + | 18.6859i | −0.0689900 | + | 0.847611i | ||||
\(487\) | 14.5908 | − | 14.5908i | 0.661174 | − | 0.661174i | −0.294483 | − | 0.955657i | \(-0.595147\pi\) |
0.955657 | + | 0.294483i | \(0.0951473\pi\) | |||||||
\(488\) | 7.96176 | − | 4.79153i | 0.360412 | − | 0.216902i | ||||
\(489\) | − | 36.3231i | − | 1.64259i | ||||||
\(490\) | −0.414336 | + | 6.69465i | −0.0187178 | + | 0.302434i | ||||
\(491\) | − | 5.90527i | − | 0.266501i | −0.991082 | − | 0.133251i | \(-0.957458\pi\) | ||
0.991082 | − | 0.133251i | \(-0.0425415\pi\) | |||||||
\(492\) | −29.6862 | + | 21.3266i | −1.33836 | + | 0.961479i | ||||
\(493\) | −7.16092 | + | 7.16092i | −0.322512 | + | 0.322512i | ||||
\(494\) | −5.60045 | − | 0.455840i | −0.251976 | − | 0.0205092i | ||||
\(495\) | −9.12014 | + | 9.48110i | −0.409920 | + | 0.426144i | ||||
\(496\) | 3.32376 | − | 9.86895i | 0.149241 | − | 0.443129i | ||||
\(497\) | −24.8352 | − | 24.8352i | −1.11401 | − | 1.11401i | ||||
\(498\) | 21.4431 | − | 18.2152i | 0.960890 | − | 0.816243i | ||||
\(499\) | −11.0646 | −0.495318 | −0.247659 | − | 0.968847i | \(-0.579661\pi\) | ||||
−0.247659 | + | 0.968847i | \(0.579661\pi\) | |||||||
\(500\) | −17.3705 | + | 14.0807i | −0.776832 | + | 0.629708i | ||||
\(501\) | −4.22541 | −0.188777 | ||||||||
\(502\) | −20.4329 | + | 17.3571i | −0.911967 | + | 0.774684i | ||||
\(503\) | −25.8572 | − | 25.8572i | −1.15292 | − | 1.15292i | −0.985965 | − | 0.166950i | \(-0.946608\pi\) |
−0.166950 | − | 0.985965i | \(-0.553392\pi\) | |||||||
\(504\) | −11.3538 | − | 2.82236i | −0.505740 | − | 0.125718i | ||||
\(505\) | 0.485181 | − | 0.504383i | 0.0215903 | − | 0.0224448i | ||||
\(506\) | 36.2972 | + | 2.95436i | 1.61361 | + | 0.131337i | ||||
\(507\) | 1.47811 | − | 1.47811i | 0.0656450 | − | 0.0656450i | ||||
\(508\) | −24.1714 | − | 33.6461i | −1.07243 | − | 1.49281i | ||||
\(509\) | − | 5.44003i | − | 0.241125i | −0.992706 | − | 0.120562i | \(-0.961530\pi\) | ||
0.992706 | − | 0.120562i | \(-0.0384698\pi\) | |||||||
\(510\) | 0.846222 | − | 13.6729i | 0.0374714 | − | 0.605445i | ||||
\(511\) | − | 33.9735i | − | 1.50290i | ||||||
\(512\) | 1.23186 | + | 22.5939i | 0.0544411 | + | 0.998517i | ||||
\(513\) | −9.57506 | + | 9.57506i | −0.422749 | + | 0.422749i | ||||
\(514\) | −0.993291 | + | 12.2036i | −0.0438122 | + | 0.538276i | ||||
\(515\) | −10.7174 | + | 0.207973i | −0.472266 | + | 0.00916439i | ||||
\(516\) | 47.3016 | + | 7.75143i | 2.08233 | + | 0.341238i | ||||
\(517\) | 18.4892 | + | 18.4892i | 0.813155 | + | 0.813155i | ||||
\(518\) | −10.4133 | − | 12.2586i | −0.457532 | − | 0.538612i | ||||
\(519\) | 8.27674 | 0.363308 | ||||||||
\(520\) | −3.36572 | − | 5.35462i | −0.147596 | − | 0.234816i | ||||
\(521\) | −23.4237 | −1.02621 | −0.513104 | − | 0.858326i | \(-0.671505\pi\) | ||||
−0.513104 | + | 0.858326i | \(0.671505\pi\) | |||||||
\(522\) | −6.12780 | − | 7.21371i | −0.268207 | − | 0.315736i | ||||
\(523\) | 5.53017 | + | 5.53017i | 0.241818 | + | 0.241818i | 0.817602 | − | 0.575784i | \(-0.195303\pi\) |
−0.575784 | + | 0.817602i | \(0.695303\pi\) | |||||||
\(524\) | −34.7533 | − | 5.69511i | −1.51820 | − | 0.248792i | ||||
\(525\) | −1.22461 | − | 31.5418i | −0.0534464 | − | 1.37660i | ||||
\(526\) | 3.34354 | − | 41.0787i | 0.145785 | − | 1.79112i | ||||
\(527\) | −3.81501 | + | 3.81501i | −0.166185 | + | 0.166185i | ||||
\(528\) | −32.1756 | + | 15.9630i | −1.40026 | + | 0.694702i | ||||
\(529\) | 12.9357i | 0.562422i | ||||||||
\(530\) | 12.5894 | − | 11.1219i | 0.546850 | − | 0.483105i | ||||
\(531\) | − | 11.1676i | − | 0.484634i | ||||||
\(532\) | −14.0023 | − | 19.4909i | −0.607075 | − | 0.845036i | ||||
\(533\) | 6.18234 | − | 6.18234i | 0.267787 | − | 0.267787i | ||||
\(534\) | −38.5225 | − | 3.13548i | −1.66703 | − | 0.135685i | ||||
\(535\) | 0.276368 | + | 14.2420i | 0.0119484 | + | 0.615735i | ||||
\(536\) | −5.56763 | + | 22.3976i | −0.240485 | + | 0.967428i | ||||
\(537\) | −12.8324 | − | 12.8324i | −0.553759 | − | 0.553759i | ||||
\(538\) | 3.88361 | − | 3.29899i | 0.167434 | − | 0.142230i | ||||
\(539\) | −9.11145 | −0.392458 | ||||||||
\(540\) | −15.0859 | − | 2.17252i | −0.649195 | − | 0.0934903i | ||||
\(541\) | 0.785688 | 0.0337794 | 0.0168897 | − | 0.999857i | \(-0.494624\pi\) | ||||
0.0168897 | + | 0.999857i | \(0.494624\pi\) | |||||||
\(542\) | −0.492710 | + | 0.418540i | −0.0211637 | + | 0.0179778i | ||||
\(543\) | −0.140461 | − | 0.140461i | −0.00602778 | − | 0.00602778i | ||||
\(544\) | 4.63069 | − | 10.7698i | 0.198539 | − | 0.461752i | ||||
\(545\) | 9.20291 | + | 8.85254i | 0.394209 | + | 0.379201i | ||||
\(546\) | 8.89868 | + | 0.724294i | 0.380828 | + | 0.0309969i | ||||
\(547\) | 16.8148 | − | 16.8148i | 0.718948 | − | 0.718948i | −0.249442 | − | 0.968390i | \(-0.580247\pi\) |
0.968390 | + | 0.249442i | \(0.0802472\pi\) | |||||||
\(548\) | 19.9852 | − | 14.3574i | 0.853727 | − | 0.613318i | ||||
\(549\) | − | 4.49963i | − | 0.192039i | ||||||
\(550\) | −20.5483 | − | 22.3695i | −0.876185 | − | 0.953841i | ||||
\(551\) | − | 19.4159i | − | 0.827143i | ||||||
\(552\) | −18.2758 | − | 30.3676i | −0.777869 | − | 1.29253i | ||||
\(553\) | 0.783685 | − | 0.783685i | 0.0333257 | − | 0.0333257i | ||||
\(554\) | −1.94938 | + | 23.9500i | −0.0828211 | + | 1.01754i | ||||
\(555\) | 12.6860 | + | 12.2030i | 0.538489 | + | 0.517988i | ||||
\(556\) | −4.72027 | + | 28.8045i | −0.200184 | + | 1.22158i | ||||
\(557\) | 2.57032 | + | 2.57032i | 0.108908 | + | 0.108908i | 0.759461 | − | 0.650553i | \(-0.225463\pi\) |
−0.650553 | + | 0.759461i | \(0.725463\pi\) | |||||||
\(558\) | −3.26461 | − | 3.84314i | −0.138202 | − | 0.162693i | ||||
\(559\) | −11.4651 | −0.484923 | ||||||||
\(560\) | 8.12346 | − | 25.7623i | 0.343279 | − | 1.08866i | ||||
\(561\) | 18.6088 | 0.785666 | ||||||||
\(562\) | −9.61504 | − | 11.3189i | −0.405586 | − | 0.477460i | ||||
\(563\) | 2.93473 | + | 2.93473i | 0.123684 | + | 0.123684i | 0.766239 | − | 0.642555i | \(-0.222126\pi\) |
−0.642555 | + | 0.766239i | \(0.722126\pi\) | |||||||
\(564\) | 4.11536 | − | 25.1131i | 0.173288 | − | 1.05745i | ||||
\(565\) | −0.719885 | − | 37.0976i | −0.0302858 | − | 1.56071i | ||||
\(566\) | −0.913070 | + | 11.2180i | −0.0383792 | + | 0.471527i | ||||
\(567\) | 23.9885 | − | 23.9885i | 1.00742 | − | 1.00742i | ||||
\(568\) | 16.9610 | + | 28.1830i | 0.711668 | + | 1.18253i | ||||
\(569\) | − | 36.2332i | − | 1.51898i | −0.650522 | − | 0.759488i | \(-0.725450\pi\) | ||
0.650522 | − | 0.759488i | \(-0.274550\pi\) | |||||||
\(570\) | 17.3889 | + | 19.6833i | 0.728339 | + | 0.824442i | ||||
\(571\) | − | 24.0261i | − | 1.00546i | −0.864443 | − | 0.502731i | \(-0.832329\pi\) | ||
0.864443 | − | 0.502731i | \(-0.167671\pi\) | |||||||
\(572\) | 6.97742 | − | 5.01259i | 0.291741 | − | 0.209587i | ||||
\(573\) | 8.81599 | − | 8.81599i | 0.368293 | − | 0.368293i | ||||
\(574\) | 37.2197 | + | 3.02944i | 1.55352 | + | 0.126446i | ||||
\(575\) | 20.3560 | − | 22.0005i | 0.848906 | − | 0.917486i | ||||
\(576\) | 9.68152 | + | 5.13031i | 0.403396 | + | 0.213763i | ||||
\(577\) | 9.55937 | + | 9.55937i | 0.397962 | + | 0.397962i | 0.877514 | − | 0.479552i | \(-0.159201\pi\) |
−0.479552 | + | 0.877514i | \(0.659201\pi\) | |||||||
\(578\) | 13.6941 | − | 11.6327i | 0.569599 | − | 0.483855i | ||||
\(579\) | −9.58138 | −0.398189 | ||||||||
\(580\) | 17.4979 | − | 13.0926i | 0.726562 | − | 0.543641i | ||||
\(581\) | −28.7436 | −1.19248 | ||||||||
\(582\) | 13.7524 | − | 11.6822i | 0.570055 | − | 0.484242i | ||||
\(583\) | 16.1356 | + | 16.1356i | 0.668269 | + | 0.668269i | ||||
\(584\) | −7.67557 | + | 30.8775i | −0.317617 | + | 1.27772i | ||||
\(585\) | −3.06195 | + | 0.0594175i | −0.126596 | + | 0.00245661i | ||||
\(586\) | 12.8833 | + | 1.04861i | 0.532203 | + | 0.0433179i | ||||
\(587\) | 17.7970 | − | 17.7970i | 0.734561 | − | 0.734561i | −0.236959 | − | 0.971520i | \(-0.576151\pi\) |
0.971520 | + | 0.236959i | \(0.0761506\pi\) | |||||||
\(588\) | 5.17383 | + | 7.20187i | 0.213365 | + | 0.297000i | ||||
\(589\) | − | 10.3439i | − | 0.426212i | ||||||
\(590\) | 25.7357 | + | 1.59280i | 1.05952 | + | 0.0655745i | ||||
\(591\) | 46.7124i | 1.92149i | ||||||||
\(592\) | 6.69473 | + | 13.4941i | 0.275152 | + | 0.554605i | ||||
\(593\) | −16.8802 | + | 16.8802i | −0.693186 | + | 0.693186i | −0.962932 | − | 0.269745i | \(-0.913060\pi\) |
0.269745 | + | 0.962932i | \(0.413060\pi\) | |||||||
\(594\) | 1.67963 | − | 20.6360i | 0.0689162 | − | 0.846704i | ||||
\(595\) | −9.70220 | + | 10.0862i | −0.397752 | + | 0.413494i | ||||
\(596\) | −34.6934 | − | 5.68529i | −1.42110 | − | 0.232879i | ||||
\(597\) | 5.38368 | + | 5.38368i | 0.220339 | + | 0.220339i | ||||
\(598\) | 5.48856 | + | 6.46120i | 0.224444 | + | 0.264218i | ||||
\(599\) | 12.1814 | 0.497720 | 0.248860 | − | 0.968540i | \(-0.419944\pi\) | ||||
0.248860 | + | 0.968540i | \(0.419944\pi\) | |||||||
\(600\) | −6.01319 | + | 28.9441i | −0.245488 | + | 1.18164i | ||||
\(601\) | 37.1958 | 1.51725 | 0.758625 | − | 0.651528i | \(-0.225872\pi\) | ||||
0.758625 | + | 0.651528i | \(0.225872\pi\) | |||||||
\(602\) | −31.7028 | − | 37.3209i | −1.29211 | − | 1.52109i | ||||
\(603\) | 7.90233 | + | 7.90233i | 0.321808 | + | 0.321808i | ||||
\(604\) | −26.3293 | − | 4.31465i | −1.07132 | − | 0.175561i | ||||
\(605\) | 11.5528 | − | 12.0100i | 0.469688 | − | 0.488277i | ||||
\(606\) | 0.0750616 | − | 0.922206i | 0.00304917 | − | 0.0374621i | ||||
\(607\) | −25.7475 | + | 25.7475i | −1.04506 | + | 1.04506i | −0.0461224 | + | 0.998936i | \(0.514686\pi\) |
−0.998936 | + | 0.0461224i | \(0.985314\pi\) | |||||||
\(608\) | 8.32269 | + | 20.8782i | 0.337530 | + | 0.846722i | ||||
\(609\) | 30.8503i | 1.25012i | ||||||||
\(610\) | 10.3694 | + | 0.641766i | 0.419843 | + | 0.0259843i | ||||
\(611\) | 6.08702i | 0.246254i | ||||||||
\(612\) | −3.31205 | − | 4.61030i | −0.133882 | − | 0.186361i | ||||
\(613\) | 4.19878 | − | 4.19878i | 0.169587 | − | 0.169587i | −0.617211 | − | 0.786798i | \(-0.711737\pi\) |
0.786798 | + | 0.617211i | \(0.211737\pi\) | |||||||
\(614\) | 16.7853 | + | 1.36621i | 0.677398 | + | 0.0551358i | ||||
\(615\) | −40.8594 | + | 0.792884i | −1.64761 | + | 0.0319722i | ||||
\(616\) | 35.6104 | + | 8.85211i | 1.43479 | + | 0.356662i | ||||
\(617\) | −3.86200 | − | 3.86200i | −0.155478 | − | 0.155478i | 0.625081 | − | 0.780560i | \(-0.285066\pi\) |
−0.780560 | + | 0.625081i | \(0.785066\pi\) | |||||||
\(618\) | −10.8008 | + | 9.17494i | −0.434474 | + | 0.369070i | ||||
\(619\) | −23.5422 | −0.946242 | −0.473121 | − | 0.880997i | \(-0.656873\pi\) | ||||
−0.473121 | + | 0.880997i | \(0.656873\pi\) | |||||||
\(620\) | 9.32211 | − | 6.97515i | 0.374385 | − | 0.280129i | ||||
\(621\) | 20.4304 | 0.819845 | ||||||||
\(622\) | 7.51310 | − | 6.38212i | 0.301248 | − | 0.255900i | ||||
\(623\) | 27.9203 | + | 27.9203i | 1.11860 | + | 1.11860i | ||||
\(624\) | −7.92410 | − | 2.66875i | −0.317218 | − | 0.106836i | ||||
\(625\) | −24.9247 | + | 1.93832i | −0.996990 | + | 0.0775330i | ||||
\(626\) | −9.04622 | − | 0.736303i | −0.361560 | − | 0.0294286i | ||||
\(627\) | −25.2277 | + | 25.2277i | −1.00750 | + | 1.00750i | ||||
\(628\) | 8.58723 | − | 6.16907i | 0.342668 | − | 0.246173i | ||||
\(629\) | − | 7.80435i | − | 0.311180i | ||||||
\(630\) | −8.66016 | − | 9.80285i | −0.345029 | − | 0.390555i | ||||
\(631\) | 19.7621i | 0.786715i | 0.919386 | + | 0.393357i | \(0.128686\pi\) | ||||
−0.919386 | + | 0.393357i | \(0.871314\pi\) | |||||||
\(632\) | −0.889325 | + | 0.535211i | −0.0353754 | + | 0.0212896i | ||||
\(633\) | −29.3252 | + | 29.3252i | −1.16557 | + | 1.16557i | ||||
\(634\) | 1.52457 | − | 18.7309i | 0.0605485 | − | 0.743899i | ||||
\(635\) | −0.898648 | − | 46.3097i | −0.0356617 | − | 1.83775i | ||||
\(636\) | 3.59149 | − | 21.9163i | 0.142412 | − | 0.869039i | ||||
\(637\) | −1.49983 | − | 1.49983i | −0.0594256 | − | 0.0594256i | ||||
\(638\) | 19.2194 | + | 22.6253i | 0.760902 | + | 0.895743i | ||||
\(639\) | 15.9277 | 0.630092 | ||||||||
\(640\) | −13.2036 | + | 21.5793i | −0.521918 | + | 0.852995i | ||||
\(641\) | −1.45519 | −0.0574767 | −0.0287384 | − | 0.999587i | \(-0.509149\pi\) | ||||
−0.0287384 | + | 0.999587i | \(0.509149\pi\) | |||||||
\(642\) | 12.1923 | + | 14.3529i | 0.481190 | + | 0.566462i | ||||
\(643\) | 8.68907 | + | 8.68907i | 0.342663 | + | 0.342663i | 0.857368 | − | 0.514704i | \(-0.172098\pi\) |
−0.514704 | + | 0.857368i | \(0.672098\pi\) | |||||||
\(644\) | −5.85556 | + | 35.7324i | −0.230741 | + | 1.40805i | ||||
\(645\) | 38.6220 | + | 37.1516i | 1.52074 | + | 1.46284i | ||||
\(646\) | 0.944674 | − | 11.6063i | 0.0371677 | − | 0.456642i | ||||
\(647\) | −14.5217 | + | 14.5217i | −0.570908 | + | 0.570908i | −0.932382 | − | 0.361474i | \(-0.882274\pi\) |
0.361474 | + | 0.932382i | \(0.382274\pi\) | |||||||
\(648\) | −27.2222 | + | 16.3828i | −1.06939 | + | 0.643576i | ||||
\(649\) | 35.0264i | 1.37491i | ||||||||
\(650\) | 0.299787 | − | 7.06471i | 0.0117586 | − | 0.277101i | ||||
\(651\) | 16.4356i | 0.644163i | ||||||||
\(652\) | 28.2246 | − | 20.2766i | 1.10536 | − | 0.794093i | ||||
\(653\) | −6.97993 | + | 6.97993i | −0.273146 | + | 0.273146i | −0.830365 | − | 0.557220i | \(-0.811868\pi\) |
0.557220 | + | 0.830365i | \(0.311868\pi\) | |||||||
\(654\) | 16.8264 | + | 1.36956i | 0.657966 | + | 0.0535541i | ||||
\(655\) | −28.3762 | − | 27.2959i | −1.10875 | − | 1.06654i | ||||
\(656\) | −33.1434 | − | 11.1624i | −1.29403 | − | 0.435817i | ||||
\(657\) | 10.8942 | + | 10.8942i | 0.425024 | + | 0.425024i | ||||
\(658\) | −19.8142 | + | 16.8315i | −0.772440 | + | 0.656161i | ||||
\(659\) | 9.51098 | 0.370495 | 0.185248 | − | 0.982692i | \(-0.440691\pi\) | ||||
0.185248 | + | 0.982692i | \(0.440691\pi\) | |||||||
\(660\) | −39.7473 | − | 5.72399i | −1.54716 | − | 0.222806i | ||||
\(661\) | 35.1819 | 1.36842 | 0.684209 | − | 0.729286i | \(-0.260147\pi\) | ||||
0.684209 | + | 0.729286i | \(0.260147\pi\) | |||||||
\(662\) | −25.3883 | + | 21.5665i | −0.986743 | + | 0.838205i | ||||
\(663\) | 3.06320 | + | 3.06320i | 0.118965 | + | 0.118965i | ||||
\(664\) | 26.1242 | + | 6.49399i | 1.01381 | + | 0.252016i | ||||
\(665\) | −0.520578 | − | 26.8268i | −0.0201871 | − | 1.04030i | ||||
\(666\) | 7.27015 | + | 0.591742i | 0.281712 | + | 0.0229296i | ||||
\(667\) | −20.7139 | + | 20.7139i | −0.802047 | + | 0.802047i | ||||
\(668\) | −2.35875 | − | 3.28333i | −0.0912626 | − | 0.127036i | ||||
\(669\) | − | 1.90855i | − | 0.0737889i | ||||||
\(670\) | −19.3379 | + | 17.0838i | −0.747090 | + | 0.660004i | ||||
\(671\) | 14.1127i | 0.544816i | ||||||||
\(672\) | −13.2241 | − | 33.1738i | −0.510131 | − | 1.27971i | ||||
\(673\) | 0.548448 | − | 0.548448i | 0.0211411 | − | 0.0211411i | −0.696457 | − | 0.717598i | \(-0.745241\pi\) |
0.717598 | + | 0.696457i | \(0.245241\pi\) | |||||||
\(674\) | −2.97972 | + | 36.6088i | −0.114774 | + | 1.41012i | ||||
\(675\) | −12.5079 | − | 11.5730i | −0.481430 | − | 0.445444i | ||||
\(676\) | 1.97367 | + | 0.323431i | 0.0759106 | + | 0.0124397i | ||||
\(677\) | 10.9214 | + | 10.9214i | 0.419744 | + | 0.419744i | 0.885116 | − | 0.465371i | \(-0.154079\pi\) |
−0.465371 | + | 0.885116i | \(0.654079\pi\) | |||||||
\(678\) | −31.7585 | − | 37.3864i | −1.21968 | − | 1.43582i | ||||
\(679\) | −18.4345 | −0.707450 | ||||||||
\(680\) | 11.0968 | − | 6.97504i | 0.425543 | − | 0.267481i | ||||
\(681\) | 10.4332 | 0.399800 | ||||||||
\(682\) | 10.2392 | + | 12.0537i | 0.392080 | + | 0.461560i | ||||
\(683\) | −17.9651 | − | 17.9651i | −0.687415 | − | 0.687415i | 0.274245 | − | 0.961660i | \(-0.411572\pi\) |
−0.961660 | + | 0.274245i | \(0.911572\pi\) | |||||||
\(684\) | 10.7402 | + | 1.76002i | 0.410661 | + | 0.0672961i | ||||
\(685\) | 27.5072 | − | 0.533781i | 1.05100 | − | 0.0203947i | ||||
\(686\) | −1.69051 | + | 20.7696i | −0.0645439 | + | 0.792986i | ||||
\(687\) | 24.1055 | − | 24.1055i | 0.919682 | − | 0.919682i | ||||
\(688\) | 20.3819 | + | 41.0824i | 0.777052 | + | 1.56625i | ||||
\(689\) | 5.31216i | 0.202377i | ||||||||
\(690\) | 2.44781 | − | 39.5507i | 0.0931867 | − | 1.50567i | ||||
\(691\) | 14.6928i | 0.558939i | 0.960155 | + | 0.279470i | \(0.0901586\pi\) | ||||
−0.960155 | + | 0.279470i | \(0.909841\pi\) | |||||||
\(692\) | 4.62031 | + | 6.43138i | 0.175638 | + | 0.244484i | ||||
\(693\) | 12.5641 | − | 12.5641i | 0.477271 | − | 0.477271i | ||||
\(694\) | −9.81060 | − | 0.798519i | −0.372405 | − | 0.0303114i | ||||
\(695\) | −22.6237 | + | 23.5191i | −0.858164 | + | 0.892129i | ||||
\(696\) | 6.96995 | − | 28.0389i | 0.264195 | − | 1.06281i | ||||
\(697\) | 12.8122 | + | 12.8122i | 0.485295 | + | 0.485295i | ||||
\(698\) | −29.9255 | + | 25.4207i | −1.13270 | + | 0.962186i | ||||
\(699\) | 59.5646 | 2.25294 | ||||||||
\(700\) | 23.8258 | − | 18.5591i | 0.900529 | − | 0.701469i | ||||
\(701\) | −19.0749 | −0.720448 | −0.360224 | − | 0.932866i | \(-0.617300\pi\) | ||||
−0.360224 | + | 0.932866i | \(0.617300\pi\) | |||||||
\(702\) | 3.67337 | − | 3.12040i | 0.138642 | − | 0.117772i | ||||
\(703\) | 10.5802 | + | 10.5802i | 0.399040 | + | 0.399040i | ||||
\(704\) | −30.3653 | − | 16.0908i | −1.14444 | − | 0.606446i | ||||
\(705\) | 19.7244 | − | 20.5050i | 0.742863 | − | 0.772264i | ||||
\(706\) | 26.5542 | + | 2.16134i | 0.999382 | + | 0.0813432i | ||||
\(707\) | −0.668396 | + | 0.668396i | −0.0251376 | + | 0.0251376i | ||||
\(708\) | 27.6856 | − | 19.8894i | 1.04049 | − | 0.747488i | ||||
\(709\) | 22.4323i | 0.842465i | 0.906953 | + | 0.421232i | \(0.138402\pi\) | ||||
−0.906953 | + | 0.421232i | \(0.861598\pi\) | |||||||
\(710\) | −2.27172 | + | 36.7054i | −0.0852560 | + | 1.37753i | ||||
\(711\) | 0.502606i | 0.0188492i | ||||||||
\(712\) | −19.0679 | − | 31.6839i | −0.714601 | − | 1.18741i | ||||
\(713\) | −11.0354 | + | 11.0354i | −0.413281 | + | 0.413281i | ||||
\(714\) | −1.50101 | + | 18.4414i | −0.0561740 | + | 0.690153i | ||||
\(715\) | 9.60356 | − | 0.186359i | 0.359153 | − | 0.00696941i | ||||
\(716\) | 2.80791 | − | 17.1347i | 0.104937 | − | 0.640355i | ||||
\(717\) | 8.03593 | + | 8.03593i | 0.300107 | + | 0.300107i | ||||
\(718\) | −8.15436 | − | 9.59940i | −0.304318 | − | 0.358246i | ||||
\(719\) | −1.41581 | −0.0528007 | −0.0264004 | − | 0.999651i | \(-0.508404\pi\) | ||||
−0.0264004 | + | 0.999651i | \(0.508404\pi\) | |||||||
\(720\) | 5.65622 | + | 10.8661i | 0.210795 | + | 0.404955i | ||||
\(721\) | 14.4780 | 0.539191 | ||||||||
\(722\) | −2.94228 | − | 3.46369i | −0.109500 | − | 0.128905i | ||||
\(723\) | 3.85754 | + | 3.85754i | 0.143463 | + | 0.143463i | ||||
\(724\) | 0.0307350 | − | 0.187554i | 0.00114226 | − | 0.00697040i | ||||
\(725\) | 24.4150 | − | 0.947912i | 0.906752 | − | 0.0352046i | ||||
\(726\) | 1.78731 | − | 21.9589i | 0.0663335 | − | 0.814973i | ||||
\(727\) | 5.27464 | − | 5.27464i | 0.195626 | − | 0.195626i | −0.602496 | − | 0.798122i | \(-0.705827\pi\) |
0.798122 | + | 0.602496i | \(0.205827\pi\) | |||||||
\(728\) | 4.40469 | + | 7.31898i | 0.163249 | + | 0.271259i | ||||
\(729\) | − | 5.98783i | − | 0.221772i | ||||||
\(730\) | −26.6594 | + | 23.5518i | −0.986710 | + | 0.871693i | ||||
\(731\) | − | 23.7601i | − | 0.878799i | ||||||
\(732\) | 11.1550 | − | 8.01376i | 0.412300 | − | 0.296197i | ||||
\(733\) | 12.2849 | − | 12.2849i | 0.453754 | − | 0.453754i | −0.442845 | − | 0.896598i | \(-0.646031\pi\) |
0.896598 | + | 0.442845i | \(0.146031\pi\) | |||||||
\(734\) | 20.6119 | + | 1.67768i | 0.760801 | + | 0.0619242i | ||||
\(735\) | 0.192353 | + | 9.91248i | 0.00709506 | + | 0.365628i | ||||
\(736\) | 13.3949 | − | 31.1532i | 0.493743 | − | 1.14832i | ||||
\(737\) | −24.7851 | − | 24.7851i | −0.912969 | − | 0.912969i | ||||
\(738\) | −12.9066 | + | 10.9637i | −0.475099 | + | 0.403580i | ||||
\(739\) | −24.6918 | −0.908302 | −0.454151 | − | 0.890925i | \(-0.650057\pi\) | ||||
−0.454151 | + | 0.890925i | \(0.650057\pi\) | |||||||
\(740\) | −2.40058 | + | 16.6696i | −0.0882471 | + | 0.612787i | ||||
\(741\) | −8.30544 | −0.305108 | ||||||||
\(742\) | −17.2920 | + | 14.6889i | −0.634808 | + | 0.539248i | ||||
\(743\) | −20.2250 | − | 20.2250i | −0.741982 | − | 0.741982i | 0.230977 | − | 0.972959i | \(-0.425808\pi\) |
−0.972959 | + | 0.230977i | \(0.925808\pi\) | |||||||
\(744\) | 3.71327 | − | 14.9378i | 0.136135 | − | 0.547648i | ||||
\(745\) | −28.3274 | − | 27.2489i | −1.03783 | − | 0.998322i | ||||
\(746\) | −25.3980 | − | 2.06723i | −0.929887 | − | 0.0756868i | ||||
\(747\) | 9.21715 | − | 9.21715i | 0.337238 | − | 0.337238i | ||||
\(748\) | 10.3880 | + | 14.4599i | 0.379822 | + | 0.528705i | ||||
\(749\) | − | 19.2394i | − | 0.702992i | ||||||
\(750\) | −23.9024 | + | 22.8271i | −0.872791 | + | 0.833528i | ||||
\(751\) | − | 11.0376i | − | 0.402768i | −0.979512 | − | 0.201384i | \(-0.935456\pi\) | ||
0.979512 | − | 0.201384i | \(-0.0645440\pi\) | |||||||
\(752\) | 21.8113 | − | 10.8211i | 0.795376 | − | 0.394604i | ||||
\(753\) | −28.0212 | + | 28.0212i | −1.02115 | + | 1.02115i | ||||
\(754\) | −0.560642 | + | 6.88804i | −0.0204174 | + | 0.250848i | ||||
\(755\) | −21.4980 | − | 20.6796i | −0.782393 | − | 0.752606i | ||||
\(756\) | 20.3148 | + | 3.32905i | 0.738844 | + | 0.121076i | ||||
\(757\) | 5.69958 | + | 5.69958i | 0.207155 | + | 0.207155i | 0.803057 | − | 0.595902i | \(-0.203205\pi\) |
−0.595902 | + | 0.803057i | \(0.703205\pi\) | |||||||
\(758\) | −19.3764 | − | 22.8102i | −0.703784 | − | 0.828502i | ||||
\(759\) | 53.8286 | 1.95385 | ||||||||
\(760\) | −5.58779 | + | 24.4997i | −0.202691 | + | 0.888696i | ||||
\(761\) | 11.3969 | 0.413137 | 0.206569 | − | 0.978432i | \(-0.433770\pi\) | ||||
0.206569 | + | 0.978432i | \(0.433770\pi\) | |||||||
\(762\) | −39.6448 | − | 46.6702i | −1.43618 | − | 1.69068i | ||||
\(763\) | −12.1955 | − | 12.1955i | −0.441506 | − | 0.441506i | ||||
\(764\) | 11.7717 | + | 1.92907i | 0.425887 | + | 0.0697912i | ||||
\(765\) | −0.123136 | − | 6.34551i | −0.00445198 | − | 0.229423i | ||||
\(766\) | −0.580971 | + | 7.13780i | −0.0209913 | + | 0.257899i | ||||
\(767\) | −5.76570 | + | 5.76570i | −0.208187 | + | 0.208187i | ||||
\(768\) | 4.52409 | + | 33.1384i | 0.163249 | + | 1.19578i | ||||
\(769\) | 47.6525i | 1.71839i | 0.511646 | + | 0.859197i | \(0.329036\pi\) | ||||
−0.511646 | + | 0.859197i | \(0.670964\pi\) | |||||||
\(770\) | 27.1619 | + | 30.7459i | 0.978848 | + | 1.10800i | ||||
\(771\) | 18.0978i | 0.651778i | ||||||||
\(772\) | −5.34860 | − | 7.44515i | −0.192500 | − | 0.267957i | ||||
\(773\) | 14.0817 | − | 14.0817i | 0.506483 | − | 0.506483i | −0.406962 | − | 0.913445i | \(-0.633412\pi\) |
0.913445 | + | 0.406962i | \(0.133412\pi\) | |||||||
\(774\) | 22.1337 | + | 1.80154i | 0.795580 | + | 0.0647550i | ||||
\(775\) | 13.0072 | − | 0.505004i | 0.467233 | − | 0.0181403i | ||||
\(776\) | 16.7545 | + | 4.16487i | 0.601453 | + | 0.149510i | ||||
\(777\) | −16.8111 | − | 16.8111i | −0.603096 | − | 0.603096i | ||||
\(778\) | 30.7527 | − | 26.1234i | 1.10254 | − | 0.936569i | ||||
\(779\) | −34.7384 | −1.24463 | ||||||||
\(780\) | −5.60057 | − | 7.48503i | −0.200533 | − | 0.268007i | ||||
\(781\) | −49.9562 | −1.78757 | ||||||||
\(782\) | −13.3900 | + | 11.3744i | −0.478827 | + | 0.406747i | ||||
\(783\) | 11.7764 | + | 11.7764i | 0.420856 | + | 0.420856i | ||||
\(784\) | −2.70798 | + | 8.04058i | −0.0967137 | + | 0.287164i | ||||
\(785\) | 11.8193 | − | 0.229354i | 0.421847 | − | 0.00818601i | ||||
\(786\) | −51.8826 | − | 4.22291i | −1.85059 | − | 0.150626i | ||||
\(787\) | 33.2851 | − | 33.2851i | 1.18649 | − | 1.18649i | 0.208453 | − | 0.978032i | \(-0.433157\pi\) |
0.978032 | − | 0.208453i | \(-0.0668428\pi\) | |||||||
\(788\) | −36.2975 | + | 26.0762i | −1.29305 | + | 0.928925i | ||||
\(789\) | − | 60.9196i | − | 2.16879i | ||||||
\(790\) | −1.15825 | − | 0.0716849i | −0.0412088 | − | 0.00255043i | ||||
\(791\) | 50.1148i | 1.78188i | ||||||||
\(792\) | −14.2577 | + | 8.58055i | −0.506627 | + | 0.304897i | ||||
\(793\) | −2.32310 | + | 2.32310i | −0.0824955 | + | 0.0824955i | ||||
\(794\) | −2.95892 | + | 36.3532i | −0.105008 | + | 1.29013i | ||||
\(795\) | 17.2135 | − | 17.8948i | 0.610501 | − | 0.634664i | ||||
\(796\) | −1.17803 | + | 7.18868i | −0.0417541 | + | 0.254796i | ||||
\(797\) | −4.57256 | − | 4.57256i | −0.161968 | − | 0.161968i | 0.621470 | − | 0.783438i | \(-0.286536\pi\) |
−0.783438 | + | 0.621470i | \(0.786536\pi\) | |||||||
\(798\) | −22.9658 | − | 27.0356i | −0.812981 | − | 0.957050i | ||||
\(799\) | −12.6146 | −0.446273 | ||||||||
\(800\) | −25.8476 | + | 11.4849i | −0.913849 | + | 0.406053i | ||||
\(801\) | −17.9063 | −0.632689 | ||||||||
\(802\) | −23.6393 | − | 27.8284i | −0.834733 | − | 0.982656i | ||||
\(803\) | −34.1689 | − | 34.1689i | −1.20579 | − | 1.20579i | ||||
\(804\) | −5.51669 | + | 33.6645i | −0.194559 | + | 1.18726i | ||||
\(805\) | −28.0649 | + | 29.1757i | −0.989159 | + | 1.02831i | ||||
\(806\) | −0.298684 | + | 3.66964i | −0.0105207 | + | 0.129257i | ||||
\(807\) | 5.32588 | − | 5.32588i | 0.187480 | − | 0.187480i | ||||
\(808\) | 0.758495 | − | 0.456476i | 0.0266838 | − | 0.0160588i | ||||
\(809\) | − | 10.4552i | − | 0.367585i | −0.982965 | − | 0.183793i | \(-0.941162\pi\) | ||
0.982965 | − | 0.183793i | \(-0.0588375\pi\) | |||||||
\(810\) | −35.4540 | − | 2.19427i | −1.24573 | − | 0.0770988i | ||||
\(811\) | 22.4450i | 0.788149i | 0.919078 | + | 0.394075i | \(0.128935\pi\) | ||||
−0.919078 | + | 0.394075i | \(0.871065\pi\) | |||||||
\(812\) | −23.9720 | + | 17.2215i | −0.841252 | + | 0.604356i | ||||
\(813\) | −0.675690 | + | 0.675690i | −0.0236975 | + | 0.0236975i | ||||
\(814\) | −22.8023 | − | 1.85595i | −0.799219 | − | 0.0650512i | ||||
\(815\) | 38.8477 | − | 0.753845i | 1.36077 | − | 0.0264060i | ||||
\(816\) | 5.53067 | − | 16.4217i | 0.193612 | − | 0.574876i | ||||
\(817\) | 32.2111 | + | 32.2111i | 1.12692 | + | 1.12692i | ||||
\(818\) | 7.66211 | − | 6.50870i | 0.267900 | − | 0.227571i | ||||
\(819\) | 4.13635 | 0.144536 | ||||||||
\(820\) | −23.4250 | − | 31.3069i | −0.818037 | − | 1.09329i | ||||
\(821\) | 48.0574 | 1.67721 | 0.838607 | − | 0.544736i | \(-0.183370\pi\) | ||||
0.838607 | + | 0.544736i | \(0.183370\pi\) | |||||||
\(822\) | 27.7213 | − | 23.5483i | 0.966892 | − | 0.821342i | ||||
\(823\) | −7.29482 | − | 7.29482i | −0.254282 | − | 0.254282i | 0.568442 | − | 0.822723i | \(-0.307546\pi\) |
−0.822723 | + | 0.568442i | \(0.807546\pi\) | |||||||
\(824\) | −13.1587 | − | 3.27100i | −0.458404 | − | 0.113951i | ||||
\(825\) | −32.9549 | − | 30.4916i | −1.14734 | − | 1.06158i | ||||
\(826\) | −34.7113 | − | 2.82528i | −1.20776 | − | 0.0983039i | ||||
\(827\) | −19.2115 | + | 19.2115i | −0.668048 | + | 0.668048i | −0.957264 | − | 0.289216i | \(-0.906605\pi\) |
0.289216 | + | 0.957264i | \(0.406605\pi\) | |||||||
\(828\) | −9.58055 | − | 13.3359i | −0.332947 | − | 0.463456i | ||||
\(829\) | − | 9.23455i | − | 0.320729i | −0.987058 | − | 0.160365i | \(-0.948733\pi\) | ||
0.987058 | − | 0.160365i | \(-0.0512670\pi\) | |||||||
\(830\) | 19.9263 | + | 22.5555i | 0.691651 | + | 0.782912i | ||||
\(831\) | 35.5178i | 1.23210i | ||||||||
\(832\) | −2.34972 | − | 7.64714i | −0.0814620 | − | 0.265117i | ||||
\(833\) | 3.10823 | − | 3.10823i | 0.107694 | − | 0.107694i | ||||
\(834\) | −3.50007 | + | 43.0019i | −0.121198 | + | 1.48903i | ||||
\(835\) | −0.0876937 | − | 4.51909i | −0.00303476 | − | 0.156390i | ||||
\(836\) | −33.6858 | − | 5.52018i | −1.16505 | − | 0.190919i | ||||
\(837\) | 6.27395 | + | 6.27395i | 0.216860 | + | 0.216860i | ||||
\(838\) | 25.6573 | + | 30.2041i | 0.886318 | + | 1.04338i | ||||
\(839\) | 34.3036 | 1.18429 | 0.592147 | − | 0.805830i | \(-0.298281\pi\) | ||||
0.592147 | + | 0.805830i | \(0.298281\pi\) | |||||||
\(840\) | 8.87857 | − | 38.9280i | 0.306340 | − | 1.34314i | ||||
\(841\) | 5.12028 | 0.176562 | ||||||||
\(842\) | 12.3675 | + | 14.5592i | 0.426213 | + | 0.501742i | ||||
\(843\) | −15.5225 | − | 15.5225i | −0.534623 | − | 0.534623i | ||||
\(844\) | −39.1571 | − | 6.41678i | −1.34784 | − | 0.220875i | ||||
\(845\) | 1.61152 | + | 1.55016i | 0.0554379 | + | 0.0533273i | ||||
\(846\) | 0.956466 | − | 11.7511i | 0.0328840 | − | 0.404013i | ||||
\(847\) | −15.9154 | + | 15.9154i | −0.546860 | + | 0.546860i | ||||
\(848\) | 19.0348 | − | 9.44359i | 0.653658 | − | 0.324294i | ||||
\(849\) | 16.6362i | 0.570953i | ||||||||
\(850\) | 14.6408 | + | 0.621273i | 0.502174 | + | 0.0213095i | ||||
\(851\) | − | 22.5751i | − | 0.773866i | ||||||
\(852\) | 28.3670 | + | 39.4863i | 0.971839 | + | 1.35278i | ||||
\(853\) | 14.8490 | − | 14.8490i | 0.508421 | − | 0.508421i | −0.405620 | − | 0.914042i | \(-0.632944\pi\) |
0.914042 | + | 0.405620i | \(0.132944\pi\) | |||||||
\(854\) | −13.9858 | − | 1.13835i | −0.478583 | − | 0.0389536i | ||||
\(855\) | 8.76943 | + | 8.43556i | 0.299908 | + | 0.288490i | ||||
\(856\) | −4.34672 | + | 17.4861i | −0.148568 | + | 0.597662i | ||||
\(857\) | −18.0555 | − | 18.0555i | −0.616765 | − | 0.616765i | 0.327936 | − | 0.944700i | \(-0.393647\pi\) |
−0.944700 | + | 0.327936i | \(0.893647\pi\) | |||||||
\(858\) | 9.67832 | − | 8.22140i | 0.330412 | − | 0.280674i | ||||
\(859\) | −0.650546 | −0.0221964 | −0.0110982 | − | 0.999938i | \(-0.503533\pi\) | ||||
−0.0110982 | + | 0.999938i | \(0.503533\pi\) | |||||||
\(860\) | −7.30849 | + | 50.7501i | −0.249218 | + | 1.73056i | ||||
\(861\) | 55.1966 | 1.88110 | ||||||||
\(862\) | −32.2456 | + | 27.3915i | −1.09829 | + | 0.932958i | ||||
\(863\) | 5.78900 | + | 5.78900i | 0.197060 | + | 0.197060i | 0.798738 | − | 0.601678i | \(-0.205501\pi\) |
−0.601678 | + | 0.798738i | \(0.705501\pi\) | |||||||
\(864\) | −17.7114 | − | 7.61537i | −0.602555 | − | 0.259080i | ||||
\(865\) | 0.171774 | + | 8.85200i | 0.00584051 | + | 0.300977i | ||||
\(866\) | 52.9369 | + | 4.30872i | 1.79887 | + | 0.146416i | ||||
\(867\) | 18.7797 | − | 18.7797i | 0.637793 | − | 0.637793i | ||||
\(868\) | −12.7712 | + | 9.17483i | −0.433482 | + | 0.311414i | ||||
\(869\) | − | 1.57639i | − | 0.0534752i | ||||||
\(870\) | 24.2086 | − | 21.3867i | 0.820749 | − | 0.725077i | ||||
\(871\) | − | 8.15973i | − | 0.276482i | ||||||
\(872\) | 8.32879 | + | 13.8394i | 0.282049 | + | 0.468661i | ||||
\(873\) | 5.91135 | − | 5.91135i | 0.200069 | − | 0.200069i | ||||
\(874\) | 2.73260 | − | 33.5727i | 0.0924315 | − | 1.13561i | ||||
\(875\) | 33.7087 | − | 1.96434i | 1.13956 | − | 0.0664068i | ||||
\(876\) | −7.60535 | + | 46.4102i | −0.256961 | + | 1.56805i | ||||
\(877\) | −31.1382 | − | 31.1382i | −1.05146 | − | 1.05146i | −0.998602 | − | 0.0528599i | \(-0.983166\pi\) |
−0.0528599 | − | 0.998602i | \(-0.516834\pi\) | |||||||
\(878\) | 6.46266 | + | 7.60792i | 0.218104 | + | 0.256755i | ||||
\(879\) | 19.1058 | 0.644424 | ||||||||
\(880\) | −17.7403 | − | 34.0807i | −0.598025 | − | 1.14886i | ||||
\(881\) | 1.63114 | 0.0549543 | 0.0274772 | − | 0.999622i | \(-0.491253\pi\) | ||||
0.0274772 | + | 0.999622i | \(0.491253\pi\) | |||||||
\(882\) | 2.65980 | + | 3.13114i | 0.0895600 | + | 0.105431i | ||||
\(883\) | −14.7551 | − | 14.7551i | −0.496550 | − | 0.496550i | 0.413812 | − | 0.910362i | \(-0.364197\pi\) |
−0.910362 | + | 0.413812i | \(0.864197\pi\) | |||||||
\(884\) | −0.670272 | + | 4.09020i | −0.0225437 | + | 0.137568i | ||||
\(885\) | 38.1058 | − | 0.739449i | 1.28091 | − | 0.0248563i | ||||
\(886\) | −3.79093 | + | 46.5753i | −0.127359 | + | 1.56473i | ||||
\(887\) | −24.6157 | + | 24.6157i | −0.826515 | + | 0.826515i | −0.987033 | − | 0.160518i | \(-0.948684\pi\) |
0.160518 | + | 0.987033i | \(0.448684\pi\) | |||||||
\(888\) | 11.4810 | + | 19.0772i | 0.385278 | + | 0.640190i | ||||
\(889\) | 62.5594i | 2.09817i | ||||||||
\(890\) | 2.55391 | − | 41.2650i | 0.0856074 | − | 1.38321i | ||||
\(891\) | − | 48.2530i | − | 1.61654i | ||||||
\(892\) | 1.48303 | − | 1.06541i | 0.0496554 | − | 0.0356725i | ||||
\(893\) | 17.1014 | − | 17.1014i | 0.572276 | − | 0.572276i | ||||
\(894\) | −51.7932 | − | 4.21563i | −1.73222 | − | 0.140992i | ||||
\(895\) | 13.4580 | − | 13.9906i | 0.449850 | − | 0.467655i | ||||
\(896\) | 18.3954 | − | 28.7943i | 0.614547 | − | 0.961948i | ||||
\(897\) | 8.86072 | + | 8.86072i | 0.295851 | + | 0.295851i | ||||
\(898\) | −38.0551 | + | 32.3265i | −1.26991 | + | 1.07875i | ||||
\(899\) | −12.7220 | −0.424303 | ||||||||
\(900\) | −1.68884 | + | 13.5915i | −0.0562947 | + | 0.453050i | ||||
\(901\) | −11.0088 | −0.366757 | ||||||||
\(902\) | 40.4806 | − | 34.3869i | 1.34786 | − | 1.14496i | ||||
\(903\) | −51.1809 | − | 51.1809i | −1.70319 | − | 1.70319i | ||||
\(904\) | 11.3224 | − | 45.5479i | 0.376576 | − | 1.51490i | ||||
\(905\) | 0.147309 | − | 0.153139i | 0.00489671 | − | 0.00509052i | ||||
\(906\) | −39.3066 | − | 3.19930i | −1.30587 | − | 0.106290i | ||||
\(907\) | −19.3333 | + | 19.3333i | −0.641952 | + | 0.641952i | −0.951035 | − | 0.309083i | \(-0.899978\pi\) |
0.309083 | + | 0.951035i | \(0.399978\pi\) | |||||||
\(908\) | 5.82410 | + | 8.10703i | 0.193279 | + | 0.269041i | ||||
\(909\) | − | 0.428667i | − | 0.0142180i | ||||||
\(910\) | −0.589953 | + | 9.53220i | −0.0195568 | + | 0.315989i | ||||
\(911\) | − | 24.7323i | − | 0.819417i | −0.912216 | − | 0.409709i | \(-0.865630\pi\) | ||
0.912216 | − | 0.409709i | \(-0.134370\pi\) | |||||||
\(912\) | 14.7648 | + | 29.7605i | 0.488912 | + | 0.985468i | ||||
\(913\) | −28.9089 | + | 28.9089i | −0.956745 | + | 0.956745i | ||||
\(914\) | −0.171998 | + | 2.11316i | −0.00568918 | + | 0.0698973i | ||||
\(915\) | 15.3535 | − | 0.297936i | 0.507570 | − | 0.00984947i | ||||
\(916\) | 32.1874 | + | 5.27463i | 1.06350 | + | 0.174279i | ||||
\(917\) | 37.6035 | + | 37.6035i | 1.24178 | + | 1.24178i | ||||
\(918\) | 6.46665 | + | 7.61261i | 0.213431 | + | 0.251254i | ||||
\(919\) | 26.7677 | 0.882986 | 0.441493 | − | 0.897265i | \(-0.354449\pi\) | ||||
0.441493 | + | 0.897265i | \(0.354449\pi\) | |||||||
\(920\) | 32.0990 | − | 20.1763i | 1.05827 | − | 0.665191i | ||||
\(921\) | 24.8924 | 0.820234 | ||||||||
\(922\) | −7.89801 | − | 9.29762i | −0.260107 | − | 0.306201i | ||||
\(923\) | −8.22328 | − | 8.22328i | −0.270672 | − | 0.270672i | ||||
\(924\) | 53.5240 | + | 8.77112i | 1.76081 | + | 0.288549i | ||||
\(925\) | −12.7879 | + | 13.8209i | −0.420462 | + | 0.454430i | ||||
\(926\) | 4.32933 | − | 53.1901i | 0.142271 | − | 1.74793i | ||||
\(927\) | −4.64265 | + | 4.64265i | −0.152485 | + | 0.152485i | ||||
\(928\) | 25.6782 | − | 10.2362i | 0.842930 | − | 0.336018i | ||||
\(929\) | 27.7991i | 0.912058i | 0.889965 | + | 0.456029i | \(0.150729\pi\) | ||||
−0.889965 | + | 0.456029i | \(0.849271\pi\) | |||||||
\(930\) | 12.8973 | − | 11.3939i | 0.422918 | − | 0.373619i | ||||
\(931\) | 8.42753i | 0.276201i | ||||||||
\(932\) | 33.2507 | + | 46.2843i | 1.08916 | + | 1.51609i | ||||
\(933\) | 10.3033 | − | 10.3033i | 0.337314 | − | 0.337314i | ||||
\(934\) | 15.8166 | + | 1.28737i | 0.517536 | + | 0.0421241i | ||||
\(935\) | 0.386206 | + | 19.9022i | 0.0126303 | + | 0.650872i | ||||
\(936\) | −3.75941 | − | 0.934520i | −0.122880 | − | 0.0305457i | ||||
\(937\) | 11.9524 | + | 11.9524i | 0.390467 | + | 0.390467i | 0.874854 | − | 0.484387i | \(-0.160957\pi\) |
−0.484387 | + | 0.874854i | \(0.660957\pi\) | |||||||
\(938\) | 26.5613 | − | 22.5629i | 0.867256 | − | 0.736704i | ||||
\(939\) | −13.4155 | −0.437798 | ||||||||
\(940\) | 26.9440 | + | 3.88019i | 0.878816 | + | 0.126558i | ||||
\(941\) | −14.5339 | −0.473793 | −0.236896 | − | 0.971535i | \(-0.576130\pi\) | ||||
−0.236896 | + | 0.971535i | \(0.576130\pi\) | |||||||
\(942\) | 11.9113 | − | 10.1182i | 0.388090 | − | 0.329669i | ||||
\(943\) | 37.0609 | + | 37.0609i | 1.20687 | + | 1.20687i | ||||
\(944\) | 30.9098 | + | 10.4101i | 1.00603 | + | 0.338820i | ||||
\(945\) | 16.5872 | + | 15.9557i | 0.539581 | + | 0.519039i | ||||
\(946\) | −69.4207 | − | 5.65039i | −2.25706 | − | 0.183710i | ||||
\(947\) | −27.2378 | + | 27.2378i | −0.885108 | + | 0.885108i | −0.994048 | − | 0.108940i | \(-0.965254\pi\) |
0.108940 | + | 0.994048i | \(0.465254\pi\) | |||||||
\(948\) | −1.24601 | + | 0.895132i | −0.0404684 | + | 0.0290725i | ||||
\(949\) | − | 11.2491i | − | 0.365160i | ||||||
\(950\) | −20.6905 | + | 19.0060i | −0.671287 | + | 0.616635i | ||||
\(951\) | − | 27.7778i | − | 0.900758i | ||||||
\(952\) | −15.1677 | + | 9.12818i | −0.491588 | + | 0.295846i | ||||
\(953\) | 21.8767 | − | 21.8767i | 0.708657 | − | 0.708657i | −0.257596 | − | 0.966253i | \(-0.582930\pi\) |
0.966253 | + | 0.257596i | \(0.0829304\pi\) | |||||||
\(954\) | 0.834712 | − | 10.2553i | 0.0270248 | − | 0.332027i | ||||
\(955\) | 9.61170 | + | 9.24577i | 0.311027 | + | 0.299186i | ||||
\(956\) | −1.75838 | + | 10.7302i | −0.0568700 | + | 0.347038i | ||||
\(957\) | 31.0277 | + | 31.0277i | 1.00298 | + | 1.00298i | ||||
\(958\) | −4.30226 | − | 5.06467i | −0.139000 | − | 0.163632i | ||||
\(959\) | −37.1592 | −1.19993 | ||||||||
\(960\) | −16.8644 | + | 33.3746i | −0.544297 | + | 1.07716i | ||||
\(961\) | 24.2223 | 0.781364 | ||||||||
\(962\) | −3.44797 | − | 4.05898i | −0.111167 | − | 0.130867i | ||||
\(963\) | 6.16946 | + | 6.16946i | 0.198808 | + | 0.198808i | ||||
\(964\) | −0.844085 | + | 5.15086i | −0.0271862 | + | 0.165898i | ||||
\(965\) | −0.198851 | − | 10.2473i | −0.00640123 | − | 0.329873i | ||||
\(966\) | −4.34188 | + | 53.3443i | −0.139698 | + | 1.71633i | ||||
\(967\) | 23.3845 | − | 23.3845i | 0.751996 | − | 0.751996i | −0.222855 | − | 0.974852i | \(-0.571538\pi\) |
0.974852 | + | 0.222855i | \(0.0715378\pi\) | |||||||
\(968\) | 18.0608 | − | 10.8693i | 0.580495 | − | 0.349352i | ||||
\(969\) | − | 17.2120i | − | 0.552930i | ||||||
\(970\) | 12.7796 | + | 14.4658i | 0.410327 | + | 0.464469i | ||||
\(971\) | 40.6697i | 1.30515i | 0.757723 | + | 0.652577i | \(0.226312\pi\) | ||||
−0.757723 | + | 0.652577i | \(0.773688\pi\) | |||||||
\(972\) | −21.5328 | + | 15.4692i | −0.690664 | + | 0.496174i | ||||
\(973\) | 31.1669 | − | 31.1669i | 0.999164 | − | 0.999164i | ||||
\(974\) | 29.0855 | + | 2.36737i | 0.931960 | + | 0.0758555i | ||||
\(975\) | −0.405485 | − | 10.4439i | −0.0129859 | − | 0.334473i | ||||
\(976\) | 12.4541 | + | 4.19440i | 0.398645 | + | 0.134259i | ||||
\(977\) | −5.84572 | − | 5.84572i | −0.187021 | − | 0.187021i | 0.607386 | − | 0.794407i | \(-0.292218\pi\) |
−0.794407 | + | 0.607386i | \(0.792218\pi\) | |||||||
\(978\) | 39.1501 | − | 33.2566i | 1.25188 | − | 1.06343i | ||||
\(979\) | 56.1618 | 1.79494 | ||||||||
\(980\) | −7.59505 | + | 5.68290i | −0.242615 | + | 0.181534i | ||||
\(981\) | 7.82140 | 0.249718 | ||||||||
\(982\) | 6.36487 | − | 5.40674i | 0.203111 | − | 0.172536i | ||||
\(983\) | 31.1780 | + | 31.1780i | 0.994422 | + | 0.994422i | 0.999985 | − | 0.00556232i | \(-0.00177055\pi\) |
−0.00556232 | + | 0.999985i | \(0.501771\pi\) | |||||||
\(984\) | −50.1666 | − | 12.4705i | −1.59925 | − | 0.397545i | ||||
\(985\) | −49.9590 | + | 0.969463i | −1.59183 | + | 0.0308896i | ||||
\(986\) | −14.2746 | − | 1.16186i | −0.454597 | − | 0.0370012i | ||||
\(987\) | −27.1728 | + | 27.1728i | −0.864918 | + | 0.864918i | ||||
\(988\) | −4.63634 | − | 6.45369i | −0.147502 | − | 0.205319i | ||||
\(989\) | − | 68.7293i | − | 2.18546i | ||||||
\(990\) | −18.5692 | − | 1.14926i | −0.590168 | − | 0.0365258i | ||||
\(991\) | − | 52.2250i | − | 1.65898i | −0.558521 | − | 0.829491i | \(-0.688631\pi\) | ||
0.558521 | − | 0.829491i | \(-0.311369\pi\) | |||||||
\(992\) | 13.6802 | − | 5.45336i | 0.434347 | − | 0.173144i | ||||
\(993\) | −34.8168 | + | 34.8168i | −1.10488 | + | 1.10488i | ||||
\(994\) | 4.02953 | − | 49.5067i | 0.127809 | − | 1.57026i | ||||
\(995\) | −5.64614 | + | 5.86960i | −0.178995 | + | 0.186079i | ||||
\(996\) | 39.2658 | + | 6.43458i | 1.24418 | + | 0.203888i | ||||
\(997\) | −26.0091 | − | 26.0091i | −0.823717 | − | 0.823717i | 0.162922 | − | 0.986639i | \(-0.447908\pi\) |
−0.986639 | + | 0.162922i | \(0.947908\pi\) | |||||||
\(998\) | −10.1305 | − | 11.9257i | −0.320675 | − | 0.377502i | ||||
\(999\) | −12.8346 | −0.406069 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 260.2.o.a.27.27 | ✓ | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.27.29 | yes | 72 | |
5.3 | odd | 4 | inner | 260.2.o.a.183.29 | yes | 72 | |
20.3 | even | 4 | inner | 260.2.o.a.183.27 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.27 | ✓ | 72 | 1.1 | even | 1 | trivial | |
260.2.o.a.27.29 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.27 | yes | 72 | 20.3 | even | 4 | inner | |
260.2.o.a.183.29 | yes | 72 | 5.3 | odd | 4 | inner |