Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [363,2,Mod(124,363)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(363, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("363.124");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 363 = 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 363.e (of order \(5\), degree \(4\), 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: | \(2.89856959337\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{3} + x^{2} - x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 130.1 | ||
Root | \(-0.309017 - 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 363.130 |
Dual form | 363.2.e.g.148.1 |
$q$-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 \(\left(\mathbb{Z}/363\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(244\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | 0.780378 | + | 0.625308i | \(0.215027\pi\) |
−0.998886 | + | 0.0471903i | \(0.984973\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | −0.618034 | − | 1.90211i | −0.276393 | − | 0.850651i | −0.988847 | − | 0.148932i | \(-0.952416\pi\) |
0.712454 | − | 0.701719i | \(-0.247584\pi\) | |||||||
\(6\) | 0.309017 | + | 0.951057i | 0.126156 | + | 0.388267i | ||||
\(7\) | 3.23607 | + | 2.35114i | 1.22312 | + | 0.888648i | 0.996355 | − | 0.0853021i | \(-0.0271855\pi\) |
0.226764 | + | 0.973950i | \(0.427186\pi\) | |||||||
\(8\) | −2.42705 | + | 1.76336i | −0.858092 | + | 0.623440i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | 2.00000 | 0.632456 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0.618034 | − | 1.90211i | 0.171412 | − | 0.527551i | −0.828040 | − | 0.560670i | \(-0.810544\pi\) |
0.999451 | + | 0.0331183i | \(0.0105438\pi\) | |||||||
\(14\) | −3.23607 | + | 2.35114i | −0.864876 | + | 0.628369i | ||||
\(15\) | −1.61803 | − | 1.17557i | −0.417775 | − | 0.303531i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 0.618034 | + | 1.90211i | 0.149895 | + | 0.461330i | 0.997608 | − | 0.0691254i | \(-0.0220209\pi\) |
−0.847713 | + | 0.530456i | \(0.822021\pi\) | |||||||
\(18\) | 0.809017 | + | 0.587785i | 0.190687 | + | 0.138542i | ||||
\(19\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(20\) | 0.618034 | − | 1.90211i | 0.138197 | − | 0.425325i | ||||
\(21\) | 4.00000 | 0.872872 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.00000 | 1.66812 | 0.834058 | − | 0.551677i | \(-0.186012\pi\) | ||||
0.834058 | + | 0.551677i | \(0.186012\pi\) | |||||||
\(24\) | −0.927051 | + | 2.85317i | −0.189233 | + | 0.582401i | ||||
\(25\) | 0.809017 | − | 0.587785i | 0.161803 | − | 0.117557i | ||||
\(26\) | 1.61803 | + | 1.17557i | 0.317323 | + | 0.230548i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.23607 | + | 3.80423i | 0.233595 | + | 0.718931i | ||||
\(29\) | −4.85410 | − | 3.52671i | −0.901384 | − | 0.654894i | 0.0374370 | − | 0.999299i | \(-0.488081\pi\) |
−0.938821 | + | 0.344405i | \(0.888081\pi\) | |||||||
\(30\) | 1.61803 | − | 1.17557i | 0.295411 | − | 0.214629i | ||||
\(31\) | −2.47214 | + | 7.60845i | −0.444009 | + | 1.36652i | 0.439558 | + | 0.898214i | \(0.355135\pi\) |
−0.883567 | + | 0.468304i | \(0.844865\pi\) | |||||||
\(32\) | −5.00000 | −0.883883 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 2.47214 | − | 7.60845i | 0.417867 | − | 1.28606i | ||||
\(36\) | 0.809017 | − | 0.587785i | 0.134836 | − | 0.0979642i | ||||
\(37\) | −4.85410 | − | 3.52671i | −0.798009 | − | 0.579788i | 0.112320 | − | 0.993672i | \(-0.464172\pi\) |
−0.910330 | + | 0.413884i | \(0.864172\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.618034 | − | 1.90211i | −0.0989646 | − | 0.304582i | ||||
\(40\) | 4.85410 | + | 3.52671i | 0.767501 | + | 0.557622i | ||||
\(41\) | −1.61803 | + | 1.17557i | −0.252694 | + | 0.183593i | −0.706920 | − | 0.707293i | \(-0.749916\pi\) |
0.454226 | + | 0.890887i | \(0.349916\pi\) | |||||||
\(42\) | −1.23607 | + | 3.80423i | −0.190729 | + | 0.587005i | ||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.00000 | −0.298142 | ||||||||
\(46\) | −2.47214 | + | 7.60845i | −0.364497 | + | 1.12181i | ||||
\(47\) | −6.47214 | + | 4.70228i | −0.944058 | + | 0.685898i | −0.949394 | − | 0.314087i | \(-0.898301\pi\) |
0.00533600 | + | 0.999986i | \(0.498301\pi\) | |||||||
\(48\) | −0.809017 | − | 0.587785i | −0.116772 | − | 0.0848395i | ||||
\(49\) | 2.78115 | + | 8.55951i | 0.397308 | + | 1.22279i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | 1.61803 | + | 1.17557i | 0.226570 | + | 0.164613i | ||||
\(52\) | 1.61803 | − | 1.17557i | 0.224381 | − | 0.163022i | ||||
\(53\) | 1.85410 | − | 5.70634i | 0.254680 | − | 0.783826i | −0.739212 | − | 0.673473i | \(-0.764802\pi\) |
0.993892 | − | 0.110353i | \(-0.0351982\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −12.0000 | −1.60357 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.85410 | − | 3.52671i | 0.637375 | − | 0.463080i | ||||
\(59\) | 3.23607 | + | 2.35114i | 0.421300 | + | 0.306092i | 0.778161 | − | 0.628065i | \(-0.216153\pi\) |
−0.356861 | + | 0.934158i | \(0.616153\pi\) | |||||||
\(60\) | −0.618034 | − | 1.90211i | −0.0797878 | − | 0.245562i | ||||
\(61\) | −1.85410 | − | 5.70634i | −0.237393 | − | 0.730622i | −0.996795 | − | 0.0799995i | \(-0.974508\pi\) |
0.759401 | − | 0.650622i | \(-0.225492\pi\) | |||||||
\(62\) | −6.47214 | − | 4.70228i | −0.821962 | − | 0.597190i | ||||
\(63\) | 3.23607 | − | 2.35114i | 0.407706 | − | 0.296216i | ||||
\(64\) | 2.16312 | − | 6.65740i | 0.270390 | − | 0.832174i | ||||
\(65\) | −4.00000 | −0.496139 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | −0.618034 | + | 1.90211i | −0.0749476 | + | 0.230665i | ||||
\(69\) | 6.47214 | − | 4.70228i | 0.779154 | − | 0.566088i | ||||
\(70\) | 6.47214 | + | 4.70228i | 0.773568 | + | 0.562030i | ||||
\(71\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(72\) | 0.927051 | + | 2.85317i | 0.109254 | + | 0.336249i | ||||
\(73\) | −11.3262 | − | 8.22899i | −1.32564 | − | 0.963131i | −0.999844 | − | 0.0176895i | \(-0.994369\pi\) |
−0.325792 | − | 0.945441i | \(-0.605631\pi\) | |||||||
\(74\) | 4.85410 | − | 3.52671i | 0.564278 | − | 0.409972i | ||||
\(75\) | 0.309017 | − | 0.951057i | 0.0356822 | − | 0.109819i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.00000 | 0.226455 | ||||||||
\(79\) | 1.23607 | − | 3.80423i | 0.139069 | − | 0.428009i | −0.857132 | − | 0.515097i | \(-0.827756\pi\) |
0.996201 | + | 0.0870877i | \(0.0277560\pi\) | |||||||
\(80\) | −1.61803 | + | 1.17557i | −0.180902 | + | 0.131433i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −0.618034 | − | 1.90211i | −0.0682504 | − | 0.210053i | ||||
\(83\) | −3.70820 | − | 11.4127i | −0.407028 | − | 1.25270i | −0.919190 | − | 0.393815i | \(-0.871155\pi\) |
0.512161 | − | 0.858889i | \(-0.328845\pi\) | |||||||
\(84\) | 3.23607 | + | 2.35114i | 0.353084 | + | 0.256531i | ||||
\(85\) | 3.23607 | − | 2.35114i | 0.351001 | − | 0.255017i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.00000 | −0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.00000 | −0.635999 | −0.317999 | − | 0.948091i | \(-0.603011\pi\) | ||||
−0.317999 | + | 0.948091i | \(0.603011\pi\) | |||||||
\(90\) | 0.618034 | − | 1.90211i | 0.0651465 | − | 0.200500i | ||||
\(91\) | 6.47214 | − | 4.70228i | 0.678464 | − | 0.492933i | ||||
\(92\) | 6.47214 | + | 4.70228i | 0.674767 | + | 0.490247i | ||||
\(93\) | 2.47214 | + | 7.60845i | 0.256349 | + | 0.788960i | ||||
\(94\) | −2.47214 | − | 7.60845i | −0.254981 | − | 0.784752i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −4.04508 | + | 2.93893i | −0.412850 | + | 0.299953i | ||||
\(97\) | 0.618034 | − | 1.90211i | 0.0627518 | − | 0.193130i | −0.914766 | − | 0.403985i | \(-0.867625\pi\) |
0.977517 | + | 0.210855i | \(0.0676247\pi\) | |||||||
\(98\) | −9.00000 | −0.909137 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | −0.618034 | + | 1.90211i | −0.0614967 | + | 0.189267i | −0.977085 | − | 0.212850i | \(-0.931726\pi\) |
0.915588 | + | 0.402117i | \(0.131726\pi\) | |||||||
\(102\) | −1.61803 | + | 1.17557i | −0.160209 | + | 0.116399i | ||||
\(103\) | −6.47214 | − | 4.70228i | −0.637719 | − | 0.463330i | 0.221347 | − | 0.975195i | \(-0.428955\pi\) |
−0.859066 | + | 0.511865i | \(0.828955\pi\) | |||||||
\(104\) | 1.85410 | + | 5.70634i | 0.181810 | + | 0.559553i | ||||
\(105\) | −2.47214 | − | 7.60845i | −0.241256 | − | 0.742509i | ||||
\(106\) | 4.85410 | + | 3.52671i | 0.471472 | + | 0.342545i | ||||
\(107\) | −9.70820 | + | 7.05342i | −0.938527 | + | 0.681880i | −0.948066 | − | 0.318074i | \(-0.896964\pi\) |
0.00953827 | + | 0.999955i | \(0.496964\pi\) | |||||||
\(108\) | 0.309017 | − | 0.951057i | 0.0297352 | − | 0.0915155i | ||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.00000 | −0.569495 | ||||||||
\(112\) | 1.23607 | − | 3.80423i | 0.116797 | − | 0.359466i | ||||
\(113\) | 4.85410 | − | 3.52671i | 0.456636 | − | 0.331765i | −0.335575 | − | 0.942014i | \(-0.608930\pi\) |
0.792210 | + | 0.610249i | \(0.208930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.94427 | − | 15.2169i | −0.461056 | − | 1.41898i | ||||
\(116\) | −1.85410 | − | 5.70634i | −0.172149 | − | 0.529820i | ||||
\(117\) | −1.61803 | − | 1.17557i | −0.149587 | − | 0.108682i | ||||
\(118\) | −3.23607 | + | 2.35114i | −0.297904 | + | 0.216440i | ||||
\(119\) | −2.47214 | + | 7.60845i | −0.226620 | + | 0.697466i | ||||
\(120\) | 6.00000 | 0.547723 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 6.00000 | 0.543214 | ||||||||
\(123\) | −0.618034 | + | 1.90211i | −0.0557262 | + | 0.171508i | ||||
\(124\) | −6.47214 | + | 4.70228i | −0.581215 | + | 0.422277i | ||||
\(125\) | −9.70820 | − | 7.05342i | −0.868328 | − | 0.630877i | ||||
\(126\) | 1.23607 | + | 3.80423i | 0.110118 | + | 0.338907i | ||||
\(127\) | 1.23607 | + | 3.80423i | 0.109683 | + | 0.337570i | 0.990801 | − | 0.135326i | \(-0.0432083\pi\) |
−0.881118 | + | 0.472897i | \(0.843208\pi\) | |||||||
\(128\) | −2.42705 | − | 1.76336i | −0.214523 | − | 0.155860i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.23607 | − | 3.80423i | 0.108410 | − | 0.333653i | ||||
\(131\) | 12.0000 | 1.04844 | 0.524222 | − | 0.851581i | \(-0.324356\pi\) | ||||
0.524222 | + | 0.851581i | \(0.324356\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.23607 | − | 3.80423i | 0.106780 | − | 0.328635i | ||||
\(135\) | −1.61803 | + | 1.17557i | −0.139258 | + | 0.101177i | ||||
\(136\) | −4.85410 | − | 3.52671i | −0.416236 | − | 0.302413i | ||||
\(137\) | 0.618034 | + | 1.90211i | 0.0528022 | + | 0.162508i | 0.973980 | − | 0.226633i | \(-0.0727718\pi\) |
−0.921178 | + | 0.389141i | \(0.872772\pi\) | |||||||
\(138\) | 2.47214 | + | 7.60845i | 0.210442 | + | 0.647674i | ||||
\(139\) | −6.47214 | − | 4.70228i | −0.548959 | − | 0.398842i | 0.278442 | − | 0.960453i | \(-0.410182\pi\) |
−0.827402 | + | 0.561611i | \(0.810182\pi\) | |||||||
\(140\) | 6.47214 | − | 4.70228i | 0.546995 | − | 0.397415i | ||||
\(141\) | −2.47214 | + | 7.60845i | −0.208191 | + | 0.640747i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −3.70820 | + | 11.4127i | −0.307950 | + | 0.947771i | ||||
\(146\) | 11.3262 | − | 8.22899i | 0.937366 | − | 0.681036i | ||||
\(147\) | 7.28115 | + | 5.29007i | 0.600539 | + | 0.436317i | ||||
\(148\) | −1.85410 | − | 5.70634i | −0.152406 | − | 0.469058i | ||||
\(149\) | 6.79837 | + | 20.9232i | 0.556944 | + | 1.71410i | 0.690752 | + | 0.723092i | \(0.257280\pi\) |
−0.133808 | + | 0.991007i | \(0.542720\pi\) | |||||||
\(150\) | 0.809017 | + | 0.587785i | 0.0660560 | + | 0.0479925i | ||||
\(151\) | 16.1803 | − | 11.7557i | 1.31674 | − | 0.956666i | 0.316771 | − | 0.948502i | \(-0.397401\pi\) |
0.999967 | − | 0.00816356i | \(-0.00259857\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.00000 | 0.161690 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 16.0000 | 1.28515 | ||||||||
\(156\) | 0.618034 | − | 1.90211i | 0.0494823 | − | 0.152291i | ||||
\(157\) | −11.3262 | + | 8.22899i | −0.903932 | + | 0.656745i | −0.939473 | − | 0.342623i | \(-0.888685\pi\) |
0.0355408 | + | 0.999368i | \(0.488685\pi\) | |||||||
\(158\) | 3.23607 | + | 2.35114i | 0.257448 | + | 0.187047i | ||||
\(159\) | −1.85410 | − | 5.70634i | −0.147040 | − | 0.452542i | ||||
\(160\) | 3.09017 | + | 9.51057i | 0.244299 | + | 0.751876i | ||||
\(161\) | 25.8885 | + | 18.8091i | 2.04030 | + | 1.48237i | ||||
\(162\) | 0.809017 | − | 0.587785i | 0.0635624 | − | 0.0461808i | ||||
\(163\) | 1.23607 | − | 3.80423i | 0.0968163 | − | 0.297970i | −0.890906 | − | 0.454187i | \(-0.849930\pi\) |
0.987723 | + | 0.156217i | \(0.0499299\pi\) | |||||||
\(164\) | −2.00000 | −0.156174 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0000 | 0.931381 | ||||||||
\(167\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(168\) | −9.70820 | + | 7.05342i | −0.749004 | + | 0.544183i | ||||
\(169\) | 7.28115 | + | 5.29007i | 0.560089 | + | 0.406928i | ||||
\(170\) | 1.23607 | + | 3.80423i | 0.0948021 | + | 0.291771i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.85410 | + | 3.52671i | −0.369051 | + | 0.268131i | −0.756817 | − | 0.653627i | \(-0.773247\pi\) |
0.387767 | + | 0.921758i | \(0.373247\pi\) | |||||||
\(174\) | 1.85410 | − | 5.70634i | 0.140559 | − | 0.432596i | ||||
\(175\) | 4.00000 | 0.302372 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.00000 | 0.300658 | ||||||||
\(178\) | 1.85410 | − | 5.70634i | 0.138971 | − | 0.427708i | ||||
\(179\) | −9.70820 | + | 7.05342i | −0.725625 | + | 0.527198i | −0.888176 | − | 0.459503i | \(-0.848028\pi\) |
0.162551 | + | 0.986700i | \(0.448028\pi\) | |||||||
\(180\) | −1.61803 | − | 1.17557i | −0.120601 | − | 0.0876219i | ||||
\(181\) | 6.79837 | + | 20.9232i | 0.505319 | + | 1.55521i | 0.800233 | + | 0.599689i | \(0.204709\pi\) |
−0.294914 | + | 0.955524i | \(0.595291\pi\) | |||||||
\(182\) | 2.47214 | + | 7.60845i | 0.183247 | + | 0.563976i | ||||
\(183\) | −4.85410 | − | 3.52671i | −0.358826 | − | 0.260702i | ||||
\(184\) | −19.4164 | + | 14.1068i | −1.43140 | + | 1.03997i | ||||
\(185\) | −3.70820 | + | 11.4127i | −0.272633 | + | 0.839077i | ||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −8.00000 | −0.583460 | ||||||||
\(189\) | 1.23607 | − | 3.80423i | 0.0899107 | − | 0.276717i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.47214 | − | 4.70228i | −0.468307 | − | 0.340245i | 0.328474 | − | 0.944513i | \(-0.393466\pi\) |
−0.796781 | + | 0.604268i | \(0.793466\pi\) | |||||||
\(192\) | −2.16312 | − | 6.65740i | −0.156110 | − | 0.480456i | ||||
\(193\) | 4.32624 | + | 13.3148i | 0.311409 | + | 0.958420i | 0.977207 | + | 0.212287i | \(0.0680913\pi\) |
−0.665798 | + | 0.746132i | \(0.731909\pi\) | |||||||
\(194\) | 1.61803 | + | 1.17557i | 0.116168 | + | 0.0844010i | ||||
\(195\) | −3.23607 | + | 2.35114i | −0.231740 | + | 0.168369i | ||||
\(196\) | −2.78115 | + | 8.55951i | −0.198654 | + | 0.611393i | ||||
\(197\) | 14.0000 | 0.997459 | 0.498729 | − | 0.866758i | \(-0.333800\pi\) | ||||
0.498729 | + | 0.866758i | \(0.333800\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(200\) | −0.927051 | + | 2.85317i | −0.0655524 | + | 0.201750i | ||||
\(201\) | −3.23607 | + | 2.35114i | −0.228255 | + | 0.165837i | ||||
\(202\) | −1.61803 | − | 1.17557i | −0.113844 | − | 0.0827129i | ||||
\(203\) | −7.41641 | − | 22.8254i | −0.520530 | − | 1.60203i | ||||
\(204\) | 0.618034 | + | 1.90211i | 0.0432710 | + | 0.133175i | ||||
\(205\) | 3.23607 | + | 2.35114i | 0.226017 | + | 0.164211i | ||||
\(206\) | 6.47214 | − | 4.70228i | 0.450935 | − | 0.327624i | ||||
\(207\) | 2.47214 | − | 7.60845i | 0.171825 | − | 0.528824i | ||||
\(208\) | −2.00000 | −0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.00000 | 0.552052 | ||||||||
\(211\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(212\) | 4.85410 | − | 3.52671i | 0.333381 | − | 0.242216i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.70820 | − | 11.4127i | −0.253488 | − | 0.780155i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.42705 | + | 1.76336i | 0.165140 | + | 0.119981i | ||||
\(217\) | −25.8885 | + | 18.8091i | −1.75743 | + | 1.27685i | ||||
\(218\) | −0.618034 | + | 1.90211i | −0.0418585 | + | 0.128827i | ||||
\(219\) | −14.0000 | −0.946032 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.00000 | 0.269069 | ||||||||
\(222\) | 1.85410 | − | 5.70634i | 0.124439 | − | 0.382984i | ||||
\(223\) | −12.9443 | + | 9.40456i | −0.866813 | + | 0.629776i | −0.929730 | − | 0.368243i | \(-0.879960\pi\) |
0.0629172 | + | 0.998019i | \(0.479960\pi\) | |||||||
\(224\) | −16.1803 | − | 11.7557i | −1.08109 | − | 0.785461i | ||||
\(225\) | −0.309017 | − | 0.951057i | −0.0206011 | − | 0.0634038i | ||||
\(226\) | 1.85410 | + | 5.70634i | 0.123333 | + | 0.379580i | ||||
\(227\) | 9.70820 | + | 7.05342i | 0.644356 | + | 0.468152i | 0.861344 | − | 0.508022i | \(-0.169623\pi\) |
−0.216988 | + | 0.976174i | \(0.569623\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.85410 | − | 5.70634i | 0.122523 | − | 0.377086i | −0.870919 | − | 0.491426i | \(-0.836476\pi\) |
0.993442 | + | 0.114341i | \(0.0364756\pi\) | |||||||
\(230\) | 16.0000 | 1.05501 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.0000 | 1.18176 | ||||||||
\(233\) | −9.27051 | + | 28.5317i | −0.607331 | + | 1.86917i | −0.127438 | + | 0.991847i | \(0.540675\pi\) |
−0.479893 | + | 0.877327i | \(0.659325\pi\) | |||||||
\(234\) | 1.61803 | − | 1.17557i | 0.105774 | − | 0.0768494i | ||||
\(235\) | 12.9443 | + | 9.40456i | 0.844391 | + | 0.613486i | ||||
\(236\) | 1.23607 | + | 3.80423i | 0.0804612 | + | 0.247634i | ||||
\(237\) | −1.23607 | − | 3.80423i | −0.0802912 | − | 0.247111i | ||||
\(238\) | −6.47214 | − | 4.70228i | −0.419526 | − | 0.304804i | ||||
\(239\) | 19.4164 | − | 14.1068i | 1.25594 | − | 0.912496i | 0.257392 | − | 0.966307i | \(-0.417137\pi\) |
0.998551 | + | 0.0538111i | \(0.0171369\pi\) | |||||||
\(240\) | −0.618034 | + | 1.90211i | −0.0398939 | + | 0.122781i | ||||
\(241\) | −10.0000 | −0.644157 | −0.322078 | − | 0.946713i | \(-0.604381\pi\) | ||||
−0.322078 | + | 0.946713i | \(0.604381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 1.85410 | − | 5.70634i | 0.118697 | − | 0.365311i | ||||
\(245\) | 14.5623 | − | 10.5801i | 0.930352 | − | 0.675940i | ||||
\(246\) | −1.61803 | − | 1.17557i | −0.103162 | − | 0.0749516i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −7.41641 | − | 22.8254i | −0.470942 | − | 1.44941i | ||||
\(249\) | −9.70820 | − | 7.05342i | −0.615232 | − | 0.446993i | ||||
\(250\) | 9.70820 | − | 7.05342i | 0.614001 | − | 0.446098i | ||||
\(251\) | 1.23607 | − | 3.80423i | 0.0780199 | − | 0.240121i | −0.904438 | − | 0.426605i | \(-0.859709\pi\) |
0.982458 | + | 0.186485i | \(0.0597094\pi\) | |||||||
\(252\) | 4.00000 | 0.251976 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −4.00000 | −0.250982 | ||||||||
\(255\) | 1.23607 | − | 3.80423i | 0.0774056 | − | 0.238230i | ||||
\(256\) | 13.7533 | − | 9.99235i | 0.859581 | − | 0.624522i | ||||
\(257\) | 11.3262 | + | 8.22899i | 0.706511 | + | 0.513311i | 0.882046 | − | 0.471163i | \(-0.156166\pi\) |
−0.175535 | + | 0.984473i | \(0.556166\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.41641 | − | 22.8254i | −0.460833 | − | 1.41830i | ||||
\(260\) | −3.23607 | − | 2.35114i | −0.200692 | − | 0.145812i | ||||
\(261\) | −4.85410 | + | 3.52671i | −0.300461 | + | 0.218298i | ||||
\(262\) | −3.70820 | + | 11.4127i | −0.229094 | + | 0.705078i | ||||
\(263\) | 16.0000 | 0.986602 | 0.493301 | − | 0.869859i | \(-0.335790\pi\) | ||||
0.493301 | + | 0.869859i | \(0.335790\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0000 | −0.737154 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.85410 | + | 3.52671i | −0.297066 | + | 0.215831i | ||||
\(268\) | −3.23607 | − | 2.35114i | −0.197674 | − | 0.143619i | ||||
\(269\) | −0.618034 | − | 1.90211i | −0.0376822 | − | 0.115974i | 0.930446 | − | 0.366429i | \(-0.119420\pi\) |
−0.968128 | + | 0.250455i | \(0.919420\pi\) | |||||||
\(270\) | −0.618034 | − | 1.90211i | −0.0376124 | − | 0.115759i | ||||
\(271\) | 16.1803 | + | 11.7557i | 0.982886 | + | 0.714108i | 0.958352 | − | 0.285591i | \(-0.0921898\pi\) |
0.0245340 | + | 0.999699i | \(0.492190\pi\) | |||||||
\(272\) | 1.61803 | − | 1.17557i | 0.0981077 | − | 0.0712794i | ||||
\(273\) | 2.47214 | − | 7.60845i | 0.149620 | − | 0.460484i | ||||
\(274\) | −2.00000 | −0.120824 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.00000 | 0.481543 | ||||||||
\(277\) | 8.03444 | − | 24.7275i | 0.482743 | − | 1.48573i | −0.352481 | − | 0.935819i | \(-0.614662\pi\) |
0.835224 | − | 0.549911i | \(-0.185338\pi\) | |||||||
\(278\) | 6.47214 | − | 4.70228i | 0.388173 | − | 0.282024i | ||||
\(279\) | 6.47214 | + | 4.70228i | 0.387477 | + | 0.281518i | ||||
\(280\) | 7.41641 | + | 22.8254i | 0.443215 | + | 1.36408i | ||||
\(281\) | 5.56231 | + | 17.1190i | 0.331819 | + | 1.02123i | 0.968268 | + | 0.249916i | \(0.0804029\pi\) |
−0.636448 | + | 0.771319i | \(0.719597\pi\) | |||||||
\(282\) | −6.47214 | − | 4.70228i | −0.385410 | − | 0.280017i | ||||
\(283\) | 12.9443 | − | 9.40456i | 0.769457 | − | 0.559043i | −0.132339 | − | 0.991204i | \(-0.542249\pi\) |
0.901796 | + | 0.432161i | \(0.142249\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8.00000 | −0.472225 | ||||||||
\(288\) | −1.54508 | + | 4.75528i | −0.0910450 | + | 0.280208i | ||||
\(289\) | 10.5172 | − | 7.64121i | 0.618660 | − | 0.449483i | ||||
\(290\) | −9.70820 | − | 7.05342i | −0.570085 | − | 0.414191i | ||||
\(291\) | −0.618034 | − | 1.90211i | −0.0362298 | − | 0.111504i | ||||
\(292\) | −4.32624 | − | 13.3148i | −0.253174 | − | 0.779189i | ||||
\(293\) | −4.85410 | − | 3.52671i | −0.283580 | − | 0.206033i | 0.436898 | − | 0.899511i | \(-0.356077\pi\) |
−0.720477 | + | 0.693479i | \(0.756077\pi\) | |||||||
\(294\) | −7.28115 | + | 5.29007i | −0.424645 | + | 0.308523i | ||||
\(295\) | 2.47214 | − | 7.60845i | 0.143933 | − | 0.442981i | ||||
\(296\) | 18.0000 | 1.04623 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −22.0000 | −1.27443 | ||||||||
\(299\) | 4.94427 | − | 15.2169i | 0.285935 | − | 0.880016i | ||||
\(300\) | 0.809017 | − | 0.587785i | 0.0467086 | − | 0.0339358i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.18034 | + | 19.0211i | 0.355639 | + | 1.09454i | ||||
\(303\) | 0.618034 | + | 1.90211i | 0.0355051 | + | 0.109274i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.70820 | + | 7.05342i | −0.555890 | + | 0.403878i | ||||
\(306\) | −0.618034 | + | 1.90211i | −0.0353307 | + | 0.108737i | ||||
\(307\) | −32.0000 | −1.82634 | −0.913168 | − | 0.407583i | \(-0.866372\pi\) | ||||
−0.913168 | + | 0.407583i | \(0.866372\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.00000 | −0.455104 | ||||||||
\(310\) | −4.94427 | + | 15.2169i | −0.280816 | + | 0.864262i | ||||
\(311\) | 19.4164 | − | 14.1068i | 1.10100 | − | 0.799926i | 0.119780 | − | 0.992800i | \(-0.461781\pi\) |
0.981223 | + | 0.192875i | \(0.0617811\pi\) | |||||||
\(312\) | 4.85410 | + | 3.52671i | 0.274809 | + | 0.199661i | ||||
\(313\) | −6.79837 | − | 20.9232i | −0.384267 | − | 1.18265i | −0.937011 | − | 0.349300i | \(-0.886419\pi\) |
0.552744 | − | 0.833351i | \(-0.313581\pi\) | |||||||
\(314\) | −4.32624 | − | 13.3148i | −0.244144 | − | 0.751397i | ||||
\(315\) | −6.47214 | − | 4.70228i | −0.364664 | − | 0.264944i | ||||
\(316\) | 3.23607 | − | 2.35114i | 0.182043 | − | 0.132262i | ||||
\(317\) | 6.79837 | − | 20.9232i | 0.381835 | − | 1.17517i | −0.556916 | − | 0.830569i | \(-0.688015\pi\) |
0.938751 | − | 0.344597i | \(-0.111985\pi\) | |||||||
\(318\) | 6.00000 | 0.336463 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −14.0000 | −0.782624 | ||||||||
\(321\) | −3.70820 | + | 11.4127i | −0.206972 | + | 0.636994i | ||||
\(322\) | −25.8885 | + | 18.8091i | −1.44271 | + | 1.04819i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.309017 | − | 0.951057i | −0.0171676 | − | 0.0528365i | ||||
\(325\) | −0.618034 | − | 1.90211i | −0.0342824 | − | 0.105510i | ||||
\(326\) | 3.23607 | + | 2.35114i | 0.179229 | + | 0.130218i | ||||
\(327\) | 1.61803 | − | 1.17557i | 0.0894775 | − | 0.0650092i | ||||
\(328\) | 1.85410 | − | 5.70634i | 0.102376 | − | 0.315080i | ||||
\(329\) | −32.0000 | −1.76422 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.0000 | −1.09930 | −0.549650 | − | 0.835395i | \(-0.685239\pi\) | ||||
−0.549650 | + | 0.835395i | \(0.685239\pi\) | |||||||
\(332\) | 3.70820 | − | 11.4127i | 0.203514 | − | 0.626352i | ||||
\(333\) | −4.85410 | + | 3.52671i | −0.266003 | + | 0.193263i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.47214 | + | 7.60845i | 0.135067 | + | 0.415694i | ||||
\(336\) | −1.23607 | − | 3.80423i | −0.0674330 | − | 0.207538i | ||||
\(337\) | −17.7984 | − | 12.9313i | −0.969539 | − | 0.704411i | −0.0141927 | − | 0.999899i | \(-0.504518\pi\) |
−0.955347 | + | 0.295488i | \(0.904518\pi\) | |||||||
\(338\) | −7.28115 | + | 5.29007i | −0.396043 | + | 0.287742i | ||||
\(339\) | 1.85410 | − | 5.70634i | 0.100701 | − | 0.309926i | ||||
\(340\) | 4.00000 | 0.216930 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.47214 | + | 7.60845i | −0.133483 | + | 0.410818i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.9443 | − | 9.40456i | −0.696896 | − | 0.506325i | ||||
\(346\) | −1.85410 | − | 5.70634i | −0.0996771 | − | 0.306775i | ||||
\(347\) | −1.23607 | − | 3.80423i | −0.0663556 | − | 0.204222i | 0.912381 | − | 0.409342i | \(-0.134242\pi\) |
−0.978737 | + | 0.205120i | \(0.934242\pi\) | |||||||
\(348\) | −4.85410 | − | 3.52671i | −0.260207 | − | 0.189052i | ||||
\(349\) | 4.85410 | − | 3.52671i | 0.259834 | − | 0.188781i | −0.450240 | − | 0.892908i | \(-0.648662\pi\) |
0.710074 | + | 0.704127i | \(0.248662\pi\) | |||||||
\(350\) | −1.23607 | + | 3.80423i | −0.0660706 | + | 0.203344i | ||||
\(351\) | −2.00000 | −0.106752 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.0000 | 0.958043 | 0.479022 | − | 0.877803i | \(-0.340992\pi\) | ||||
0.479022 | + | 0.877803i | \(0.340992\pi\) | |||||||
\(354\) | −1.23607 | + | 3.80423i | −0.0656963 | + | 0.202192i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −4.85410 | − | 3.52671i | −0.257267 | − | 0.186915i | ||||
\(357\) | 2.47214 | + | 7.60845i | 0.130839 | + | 0.402682i | ||||
\(358\) | −3.70820 | − | 11.4127i | −0.195985 | − | 0.603179i | ||||
\(359\) | −6.47214 | − | 4.70228i | −0.341586 | − | 0.248177i | 0.403745 | − | 0.914872i | \(-0.367708\pi\) |
−0.745331 | + | 0.666695i | \(0.767708\pi\) | |||||||
\(360\) | 4.85410 | − | 3.52671i | 0.255834 | − | 0.185874i | ||||
\(361\) | −5.87132 | + | 18.0701i | −0.309017 | + | 0.951057i | ||||
\(362\) | −22.0000 | −1.15629 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.00000 | 0.419314 | ||||||||
\(365\) | −8.65248 | + | 26.6296i | −0.452891 | + | 1.39386i | ||||
\(366\) | 4.85410 | − | 3.52671i | 0.253728 | − | 0.184344i | ||||
\(367\) | 25.8885 | + | 18.8091i | 1.35137 | + | 0.981828i | 0.998942 | + | 0.0459900i | \(0.0146442\pi\) |
0.352429 | + | 0.935839i | \(0.385356\pi\) | |||||||
\(368\) | −2.47214 | − | 7.60845i | −0.128869 | − | 0.396618i | ||||
\(369\) | 0.618034 | + | 1.90211i | 0.0321736 | + | 0.0990200i | ||||
\(370\) | −9.70820 | − | 7.05342i | −0.504705 | − | 0.366690i | ||||
\(371\) | 19.4164 | − | 14.1068i | 1.00805 | − | 0.732391i | ||||
\(372\) | −2.47214 | + | 7.60845i | −0.128174 | + | 0.394480i | ||||
\(373\) | 2.00000 | 0.103556 | 0.0517780 | − | 0.998659i | \(-0.483511\pi\) | ||||
0.0517780 | + | 0.998659i | \(0.483511\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −12.0000 | −0.619677 | ||||||||
\(376\) | 7.41641 | − | 22.8254i | 0.382472 | − | 1.17713i | ||||
\(377\) | −9.70820 | + | 7.05342i | −0.499998 | + | 0.363270i | ||||
\(378\) | 3.23607 | + | 2.35114i | 0.166445 | + | 0.120930i | ||||
\(379\) | 8.65248 | + | 26.6296i | 0.444448 | + | 1.36787i | 0.883088 | + | 0.469207i | \(0.155460\pi\) |
−0.438640 | + | 0.898663i | \(0.644540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.23607 | + | 2.35114i | 0.165789 | + | 0.120453i | ||||
\(382\) | 6.47214 | − | 4.70228i | 0.331143 | − | 0.240590i | ||||
\(383\) | −4.94427 | + | 15.2169i | −0.252640 | + | 0.777547i | 0.741645 | + | 0.670793i | \(0.234046\pi\) |
−0.994285 | + | 0.106755i | \(0.965954\pi\) | |||||||
\(384\) | −3.00000 | −0.153093 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.61803 | − | 1.17557i | 0.0821432 | − | 0.0596806i | ||||
\(389\) | 14.5623 | + | 10.5801i | 0.738338 | + | 0.536434i | 0.892190 | − | 0.451660i | \(-0.149168\pi\) |
−0.153852 | + | 0.988094i | \(0.549168\pi\) | |||||||
\(390\) | −1.23607 | − | 3.80423i | −0.0625907 | − | 0.192634i | ||||
\(391\) | 4.94427 | + | 15.2169i | 0.250043 | + | 0.769552i | ||||
\(392\) | −21.8435 | − | 15.8702i | −1.10326 | − | 0.801566i | ||||
\(393\) | 9.70820 | − | 7.05342i | 0.489714 | − | 0.355798i | ||||
\(394\) | −4.32624 | + | 13.3148i | −0.217953 | + | 0.670789i | ||||
\(395\) | −8.00000 | −0.402524 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.00000 | −0.100377 | −0.0501886 | − | 0.998740i | \(-0.515982\pi\) | ||||
−0.0501886 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 8.03444 | + | 24.7275i | 0.401221 | + | 1.23483i | 0.924010 | + | 0.382369i | \(0.124892\pi\) |
−0.522789 | + | 0.852462i | \(0.675108\pi\) | |||||||
\(402\) | −1.23607 | − | 3.80423i | −0.0616495 | − | 0.189738i | ||||
\(403\) | 12.9443 | + | 9.40456i | 0.644800 | + | 0.468475i | ||||
\(404\) | −1.61803 | + | 1.17557i | −0.0805002 | + | 0.0584868i | ||||
\(405\) | −0.618034 | + | 1.90211i | −0.0307104 | + | 0.0945168i | ||||
\(406\) | 24.0000 | 1.19110 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −6.00000 | −0.297044 | ||||||||
\(409\) | −5.56231 | + | 17.1190i | −0.275038 | + | 0.846481i | 0.714171 | + | 0.699971i | \(0.246804\pi\) |
−0.989209 | + | 0.146510i | \(0.953196\pi\) | |||||||
\(410\) | −3.23607 | + | 2.35114i | −0.159818 | + | 0.116115i | ||||
\(411\) | 1.61803 | + | 1.17557i | 0.0798117 | + | 0.0579866i | ||||
\(412\) | −2.47214 | − | 7.60845i | −0.121793 | − | 0.374842i | ||||
\(413\) | 4.94427 | + | 15.2169i | 0.243292 | + | 0.748775i | ||||
\(414\) | 6.47214 | + | 4.70228i | 0.318088 | + | 0.231105i | ||||
\(415\) | −19.4164 | + | 14.1068i | −0.953114 | + | 0.692478i | ||||
\(416\) | −3.09017 | + | 9.51057i | −0.151508 | + | 0.466294i | ||||
\(417\) | −8.00000 | −0.391762 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.00000 | −0.195413 | −0.0977064 | − | 0.995215i | \(-0.531151\pi\) | ||||
−0.0977064 | + | 0.995215i | \(0.531151\pi\) | |||||||
\(420\) | 2.47214 | − | 7.60845i | 0.120628 | − | 0.371254i | ||||
\(421\) | 21.0344 | − | 15.2824i | 1.02516 | − | 0.744819i | 0.0578225 | − | 0.998327i | \(-0.481584\pi\) |
0.967333 | + | 0.253507i | \(0.0815842\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.47214 | + | 7.60845i | 0.120199 | + | 0.369936i | ||||
\(424\) | 5.56231 | + | 17.1190i | 0.270129 | + | 0.831373i | ||||
\(425\) | 1.61803 | + | 1.17557i | 0.0784862 | + | 0.0570235i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.41641 | − | 22.8254i | 0.358905 | − | 1.10460i | ||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7.41641 | − | 22.8254i | 0.357236 | − | 1.09946i | −0.597466 | − | 0.801894i | \(-0.703826\pi\) |
0.954702 | − | 0.297564i | \(-0.0961743\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | −27.5066 | − | 19.9847i | −1.32188 | − | 0.960403i | −0.999907 | − | 0.0136552i | \(-0.995653\pi\) |
−0.321975 | − | 0.946748i | \(-0.604347\pi\) | |||||||
\(434\) | −9.88854 | − | 30.4338i | −0.474665 | − | 1.46087i | ||||
\(435\) | 3.70820 | + | 11.4127i | 0.177795 | + | 0.547196i | ||||
\(436\) | 1.61803 | + | 1.17557i | 0.0774898 | + | 0.0562996i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 4.32624 | − | 13.3148i | 0.206716 | − | 0.636205i | ||||
\(439\) | 20.0000 | 0.954548 | 0.477274 | − | 0.878755i | \(-0.341625\pi\) | ||||
0.477274 | + | 0.878755i | \(0.341625\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | −1.23607 | + | 3.80423i | −0.0587938 | + | 0.180949i | ||||
\(443\) | −22.6525 | + | 16.4580i | −1.07625 | + | 0.781943i | −0.977026 | − | 0.213122i | \(-0.931637\pi\) |
−0.0992261 | + | 0.995065i | \(0.531637\pi\) | |||||||
\(444\) | −4.85410 | − | 3.52671i | −0.230365 | − | 0.167370i | ||||
\(445\) | 3.70820 | + | 11.4127i | 0.175786 | + | 0.541013i | ||||
\(446\) | −4.94427 | − | 15.2169i | −0.234118 | − | 0.720541i | ||||
\(447\) | 17.7984 | + | 12.9313i | 0.841834 | + | 0.611628i | ||||
\(448\) | 22.6525 | − | 16.4580i | 1.07023 | − | 0.777567i | ||||
\(449\) | 0.618034 | − | 1.90211i | 0.0291668 | − | 0.0897663i | −0.935413 | − | 0.353556i | \(-0.884972\pi\) |
0.964580 | + | 0.263790i | \(0.0849724\pi\) | |||||||
\(450\) | 1.00000 | 0.0471405 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 6.00000 | 0.282216 | ||||||||
\(453\) | 6.18034 | − | 19.0211i | 0.290378 | − | 0.893691i | ||||
\(454\) | −9.70820 | + | 7.05342i | −0.455629 | + | 0.331034i | ||||
\(455\) | −12.9443 | − | 9.40456i | −0.606837 | − | 0.440893i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.56231 | − | 17.1190i | −0.260194 | − | 0.800794i | −0.992762 | − | 0.120100i | \(-0.961678\pi\) |
0.732568 | − | 0.680694i | \(-0.238322\pi\) | |||||||
\(458\) | 4.85410 | + | 3.52671i | 0.226817 | + | 0.164792i | ||||
\(459\) | 1.61803 | − | 1.17557i | 0.0755234 | − | 0.0548709i | ||||
\(460\) | 4.94427 | − | 15.2169i | 0.230528 | − | 0.709492i | ||||
\(461\) | 30.0000 | 1.39724 | 0.698620 | − | 0.715493i | \(-0.253798\pi\) | ||||
0.698620 | + | 0.715493i | \(0.253798\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.0000 | 0.743583 | 0.371792 | − | 0.928316i | \(-0.378744\pi\) | ||||
0.371792 | + | 0.928316i | \(0.378744\pi\) | |||||||
\(464\) | −1.85410 | + | 5.70634i | −0.0860745 | + | 0.264910i | ||||
\(465\) | 12.9443 | − | 9.40456i | 0.600276 | − | 0.436126i | ||||
\(466\) | −24.2705 | − | 17.6336i | −1.12431 | − | 0.816859i | ||||
\(467\) | −3.70820 | − | 11.4127i | −0.171595 | − | 0.528116i | 0.827866 | − | 0.560925i | \(-0.189555\pi\) |
−0.999462 | + | 0.0328096i | \(0.989555\pi\) | |||||||
\(468\) | −0.618034 | − | 1.90211i | −0.0285686 | − | 0.0879252i | ||||
\(469\) | −12.9443 | − | 9.40456i | −0.597711 | − | 0.434262i | ||||
\(470\) | −12.9443 | + | 9.40456i | −0.597075 | + | 0.433800i | ||||
\(471\) | −4.32624 | + | 13.3148i | −0.199343 | + | 0.613513i | ||||
\(472\) | −12.0000 | −0.552345 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.00000 | 0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −6.47214 | + | 4.70228i | −0.296650 | + | 0.215529i | ||||
\(477\) | −4.85410 | − | 3.52671i | −0.222254 | − | 0.161477i | ||||
\(478\) | 7.41641 | + | 22.8254i | 0.339219 | + | 1.04401i | ||||
\(479\) | −2.47214 | − | 7.60845i | −0.112955 | − | 0.347639i | 0.878560 | − | 0.477632i | \(-0.158505\pi\) |
−0.991515 | + | 0.129993i | \(0.958505\pi\) | |||||||
\(480\) | 8.09017 | + | 5.87785i | 0.369264 | + | 0.268286i | ||||
\(481\) | −9.70820 | + | 7.05342i | −0.442656 | + | 0.321608i | ||||
\(482\) | 3.09017 | − | 9.51057i | 0.140753 | − | 0.433194i | ||||
\(483\) | 32.0000 | 1.45605 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.00000 | −0.181631 | ||||||||
\(486\) | 0.309017 | − | 0.951057i | 0.0140173 | − | 0.0431408i | ||||
\(487\) | 12.9443 | − | 9.40456i | 0.586561 | − | 0.426161i | −0.254523 | − | 0.967067i | \(-0.581918\pi\) |
0.841083 | + | 0.540905i | \(0.181918\pi\) | |||||||
\(488\) | 14.5623 | + | 10.5801i | 0.659205 | + | 0.478940i | ||||
\(489\) | −1.23607 | − | 3.80423i | −0.0558969 | − | 0.172033i | ||||
\(490\) | 5.56231 | + | 17.1190i | 0.251279 | + | 0.773358i | ||||
\(491\) | 3.23607 | + | 2.35114i | 0.146042 | + | 0.106106i | 0.658407 | − | 0.752662i | \(-0.271231\pi\) |
−0.512365 | + | 0.858768i | \(0.671231\pi\) | |||||||
\(492\) | −1.61803 | + | 1.17557i | −0.0729466 | + | 0.0529988i | ||||
\(493\) | 3.70820 | − | 11.4127i | 0.167009 | − | 0.514001i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.00000 | 0.359211 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.70820 | − | 7.05342i | 0.435035 | − | 0.316071i | ||||
\(499\) | 3.23607 | + | 2.35114i | 0.144866 | + | 0.105252i | 0.657858 | − | 0.753142i | \(-0.271463\pi\) |
−0.512992 | + | 0.858394i | \(0.671463\pi\) | |||||||
\(500\) | −3.70820 | − | 11.4127i | −0.165836 | − | 0.510390i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.23607 | + | 2.35114i | 0.144433 | + | 0.104937i | ||||
\(503\) | −25.8885 | + | 18.8091i | −1.15431 | + | 0.838658i | −0.989048 | − | 0.147592i | \(-0.952848\pi\) |
−0.165265 | + | 0.986249i | \(0.552848\pi\) | |||||||
\(504\) | −3.70820 | + | 11.4127i | −0.165177 | + | 0.508361i | ||||
\(505\) | 4.00000 | 0.177998 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.00000 | 0.399704 | ||||||||
\(508\) | −1.23607 | + | 3.80423i | −0.0548416 | + | 0.168785i | ||||
\(509\) | −24.2705 | + | 17.6336i | −1.07577 | + | 0.781594i | −0.976941 | − | 0.213511i | \(-0.931510\pi\) |
−0.0988307 | + | 0.995104i | \(0.531510\pi\) | |||||||
\(510\) | 3.23607 | + | 2.35114i | 0.143295 | + | 0.104110i | ||||
\(511\) | −17.3050 | − | 53.2592i | −0.765526 | − | 2.35605i | ||||
\(512\) | 3.39919 | + | 10.4616i | 0.150224 | + | 0.462343i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.3262 | + | 8.22899i | −0.499579 | + | 0.362965i | ||||
\(515\) | −4.94427 | + | 15.2169i | −0.217871 | + | 0.670537i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 24.0000 | 1.05450 | ||||||||
\(519\) | −1.85410 | + | 5.70634i | −0.0813860 | + | 0.250480i | ||||
\(520\) | 9.70820 | − | 7.05342i | 0.425733 | − | 0.309313i | ||||
\(521\) | 24.2705 | + | 17.6336i | 1.06331 | + | 0.772540i | 0.974698 | − | 0.223526i | \(-0.0717568\pi\) |
0.0886124 | + | 0.996066i | \(0.471757\pi\) | |||||||
\(522\) | −1.85410 | − | 5.70634i | −0.0811518 | − | 0.249760i | ||||
\(523\) | 4.94427 | + | 15.2169i | 0.216198 | + | 0.665389i | 0.999066 | + | 0.0432015i | \(0.0137558\pi\) |
−0.782868 | + | 0.622187i | \(0.786244\pi\) | |||||||
\(524\) | 9.70820 | + | 7.05342i | 0.424105 | + | 0.308130i | ||||
\(525\) | 3.23607 | − | 2.35114i | 0.141234 | − | 0.102612i | ||||
\(526\) | −4.94427 | + | 15.2169i | −0.215580 | + | 0.663489i | ||||
\(527\) | −16.0000 | −0.696971 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.0000 | 1.78261 | ||||||||
\(530\) | 3.70820 | − | 11.4127i | 0.161074 | − | 0.495735i | ||||
\(531\) | 3.23607 | − | 2.35114i | 0.140433 | − | 0.102031i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.23607 | + | 3.80423i | 0.0535400 | + | 0.164779i | ||||
\(534\) | −1.85410 | − | 5.70634i | −0.0802348 | − | 0.246937i | ||||
\(535\) | 19.4164 | + | 14.1068i | 0.839445 | + | 0.609892i | ||||
\(536\) | 9.70820 | − | 7.05342i | 0.419331 | − | 0.304661i | ||||
\(537\) | −3.70820 | + | 11.4127i | −0.160021 | + | 0.492493i | ||||
\(538\) | 2.00000 | 0.0862261 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.00000 | −0.0860663 | ||||||||
\(541\) | −14.2148 | + | 43.7486i | −0.611141 | + | 1.88090i | −0.163927 | + | 0.986473i | \(0.552416\pi\) |
−0.447215 | + | 0.894427i | \(0.647584\pi\) | |||||||
\(542\) | −16.1803 | + | 11.7557i | −0.695005 | + | 0.504951i | ||||
\(543\) | 17.7984 | + | 12.9313i | 0.763801 | + | 0.554934i | ||||
\(544\) | −3.09017 | − | 9.51057i | −0.132490 | − | 0.407762i | ||||
\(545\) | −1.23607 | − | 3.80423i | −0.0529473 | − | 0.162955i | ||||
\(546\) | 6.47214 | + | 4.70228i | 0.276982 | + | 0.201239i | ||||
\(547\) | 6.47214 | − | 4.70228i | 0.276729 | − | 0.201055i | −0.440761 | − | 0.897625i | \(-0.645291\pi\) |
0.717489 | + | 0.696570i | \(0.245291\pi\) | |||||||
\(548\) | −0.618034 | + | 1.90211i | −0.0264011 | + | 0.0812542i | ||||
\(549\) | −6.00000 | −0.256074 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −7.41641 | + | 22.8254i | −0.315663 | + | 0.971512i | ||||
\(553\) | 12.9443 | − | 9.40456i | 0.550446 | − | 0.399923i | ||||
\(554\) | 21.0344 | + | 15.2824i | 0.893668 | + | 0.649288i | ||||
\(555\) | 3.70820 | + | 11.4127i | 0.157404 | + | 0.484441i | ||||
\(556\) | −2.47214 | − | 7.60845i | −0.104842 | − | 0.322670i | ||||
\(557\) | −11.3262 | − | 8.22899i | −0.479908 | − | 0.348674i | 0.321382 | − | 0.946950i | \(-0.395853\pi\) |
−0.801290 | + | 0.598276i | \(0.795853\pi\) | |||||||
\(558\) | −6.47214 | + | 4.70228i | −0.273987 | + | 0.199063i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −8.00000 | −0.338062 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −18.0000 | −0.759284 | ||||||||
\(563\) | 13.5967 | − | 41.8465i | 0.573035 | − | 1.76362i | −0.0697416 | − | 0.997565i | \(-0.522217\pi\) |
0.642776 | − | 0.766054i | \(-0.277783\pi\) | |||||||
\(564\) | −6.47214 | + | 4.70228i | −0.272526 | + | 0.198002i | ||||
\(565\) | −9.70820 | − | 7.05342i | −0.408427 | − | 0.296740i | ||||
\(566\) | 4.94427 | + | 15.2169i | 0.207823 | + | 0.639614i | ||||
\(567\) | −1.23607 | − | 3.80423i | −0.0519100 | − | 0.159762i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −33.9787 | + | 24.6870i | −1.42446 | + | 1.03493i | −0.433447 | + | 0.901179i | \(0.642703\pi\) |
−0.991015 | + | 0.133753i | \(0.957297\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.0000 | 0.669579 | 0.334790 | − | 0.942293i | \(-0.391335\pi\) | ||||
0.334790 | + | 0.942293i | \(0.391335\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.00000 | −0.334205 | ||||||||
\(574\) | 2.47214 | − | 7.60845i | 0.103185 | − | 0.317571i | ||||
\(575\) | 6.47214 | − | 4.70228i | 0.269907 | − | 0.196099i | ||||
\(576\) | −5.66312 | − | 4.11450i | −0.235963 | − | 0.171437i | ||||
\(577\) | −9.27051 | − | 28.5317i | −0.385936 | − | 1.18779i | −0.935799 | − | 0.352535i | \(-0.885320\pi\) |
0.549862 | − | 0.835255i | \(-0.314680\pi\) | |||||||
\(578\) | 4.01722 | + | 12.3637i | 0.167094 | + | 0.514264i | ||||
\(579\) | 11.3262 | + | 8.22899i | 0.470702 | + | 0.341985i | ||||
\(580\) | −9.70820 | + | 7.05342i | −0.403111 | + | 0.292877i | ||||
\(581\) | 14.8328 | − | 45.6507i | 0.615369 | − | 1.89391i | ||||
\(582\) | 2.00000 | 0.0829027 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 42.0000 | 1.73797 | ||||||||
\(585\) | −1.23607 | + | 3.80423i | −0.0511051 | + | 0.157285i | ||||
\(586\) | 4.85410 | − | 3.52671i | 0.200521 | − | 0.145687i | ||||
\(587\) | −22.6525 | − | 16.4580i | −0.934968 | − | 0.679294i | 0.0122363 | − | 0.999925i | \(-0.496105\pi\) |
−0.947204 | + | 0.320631i | \(0.896105\pi\) | |||||||
\(588\) | 2.78115 | + | 8.55951i | 0.114693 | + | 0.352988i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 6.47214 | + | 4.70228i | 0.266454 | + | 0.193590i | ||||
\(591\) | 11.3262 | − | 8.22899i | 0.465899 | − | 0.338496i | ||||
\(592\) | −1.85410 | + | 5.70634i | −0.0762031 | + | 0.234529i | ||||
\(593\) | −38.0000 | −1.56047 | −0.780236 | − | 0.625485i | \(-0.784901\pi\) | ||||
−0.780236 | + | 0.625485i | \(0.784901\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.0000 | 0.655936 | ||||||||
\(596\) | −6.79837 | + | 20.9232i | −0.278472 | + | 0.857049i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 12.9443 | + | 9.40456i | 0.529331 | + | 0.384581i | ||||
\(599\) | −2.47214 | − | 7.60845i | −0.101009 | − | 0.310873i | 0.887764 | − | 0.460298i | \(-0.152258\pi\) |
−0.988773 | + | 0.149425i | \(0.952258\pi\) | |||||||
\(600\) | 0.927051 | + | 2.85317i | 0.0378467 | + | 0.116480i | ||||
\(601\) | 21.0344 | + | 15.2824i | 0.858013 | + | 0.623383i | 0.927344 | − | 0.374211i | \(-0.122086\pi\) |
−0.0693308 | + | 0.997594i | \(0.522086\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.23607 | + | 3.80423i | −0.0503366 | + | 0.154920i | ||||
\(604\) | 20.0000 | 0.813788 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.00000 | −0.0812444 | ||||||||
\(607\) | 1.23607 | − | 3.80423i | 0.0501705 | − | 0.154409i | −0.922832 | − | 0.385202i | \(-0.874132\pi\) |
0.973003 | + | 0.230793i | \(0.0741319\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −19.4164 | − | 14.1068i | −0.786793 | − | 0.571638i | ||||
\(610\) | −3.70820 | − | 11.4127i | −0.150141 | − | 0.462086i | ||||
\(611\) | 4.94427 | + | 15.2169i | 0.200024 | + | 0.615610i | ||||
\(612\) | 1.61803 | + | 1.17557i | 0.0654051 | + | 0.0475196i | ||||
\(613\) | 11.3262 | − | 8.22899i | 0.457462 | − | 0.332366i | −0.335073 | − | 0.942192i | \(-0.608761\pi\) |
0.792535 | + | 0.609826i | \(0.208761\pi\) | |||||||
\(614\) | 9.88854 | − | 30.4338i | 0.399069 | − | 1.22821i | ||||
\(615\) | 4.00000 | 0.161296 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.0000 | −1.20775 | −0.603877 | − | 0.797077i | \(-0.706378\pi\) | ||||
−0.603877 | + | 0.797077i | \(0.706378\pi\) | |||||||
\(618\) | 2.47214 | − | 7.60845i | 0.0994439 | − | 0.306057i | ||||
\(619\) | −35.5967 | + | 25.8626i | −1.43075 | + | 1.03950i | −0.440878 | + | 0.897567i | \(0.645333\pi\) |
−0.989876 | + | 0.141937i | \(0.954667\pi\) | |||||||
\(620\) | 12.9443 | + | 9.40456i | 0.519854 | + | 0.377696i | ||||
\(621\) | −2.47214 | − | 7.60845i | −0.0992034 | − | 0.305317i | ||||
\(622\) | 7.41641 | + | 22.8254i | 0.297371 | + | 0.915213i | ||||
\(623\) | −19.4164 | − | 14.1068i | −0.777902 | − | 0.565179i | ||||
\(624\) | −1.61803 | + | 1.17557i | −0.0647732 | + | 0.0470605i | ||||
\(625\) | −5.87132 | + | 18.0701i | −0.234853 | + | 0.722803i | ||||
\(626\) | 22.0000 | 0.879297 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.0000 | −0.558661 | ||||||||
\(629\) | 3.70820 | − | 11.4127i | 0.147856 | − | 0.455053i | ||||
\(630\) | 6.47214 | − | 4.70228i | 0.257856 | − | 0.187343i | ||||
\(631\) | −12.9443 | − | 9.40456i | −0.515303 | − | 0.374390i | 0.299528 | − | 0.954087i | \(-0.403171\pi\) |
−0.814832 | + | 0.579698i | \(0.803171\pi\) | |||||||
\(632\) | 3.70820 | + | 11.4127i | 0.147504 | + | 0.453972i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.7984 | + | 12.9313i | 0.706864 | + | 0.513567i | ||||
\(635\) | 6.47214 | − | 4.70228i | 0.256839 | − | 0.186604i | ||||
\(636\) | 1.85410 | − | 5.70634i | 0.0735199 | − | 0.226271i | ||||
\(637\) | 18.0000 | 0.713186 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.85410 | + | 5.70634i | −0.0732898 | + | 0.225563i | ||||
\(641\) | −14.5623 | + | 10.5801i | −0.575177 | + | 0.417890i | −0.836982 | − | 0.547230i | \(-0.815682\pi\) |
0.261805 | + | 0.965121i | \(0.415682\pi\) | |||||||
\(642\) | −9.70820 | − | 7.05342i | −0.383152 | − | 0.278376i | ||||
\(643\) | 6.18034 | + | 19.0211i | 0.243729 | + | 0.750120i | 0.995843 | + | 0.0910872i | \(0.0290342\pi\) |
−0.752114 | + | 0.659033i | \(0.770966\pi\) | |||||||
\(644\) | 9.88854 | + | 30.4338i | 0.389663 | + | 1.19926i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.47214 | − | 7.60845i | 0.0971897 | − | 0.299119i | −0.890628 | − | 0.454732i | \(-0.849735\pi\) |
0.987818 | + | 0.155613i | \(0.0497351\pi\) | |||||||
\(648\) | 3.00000 | 0.117851 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 2.00000 | 0.0784465 | ||||||||
\(651\) | −9.88854 | + | 30.4338i | −0.387563 | + | 1.19279i | ||||
\(652\) | 3.23607 | − | 2.35114i | 0.126734 | − | 0.0920778i | ||||
\(653\) | 1.61803 | + | 1.17557i | 0.0633186 | + | 0.0460036i | 0.618994 | − | 0.785395i | \(-0.287540\pi\) |
−0.555676 | + | 0.831399i | \(0.687540\pi\) | |||||||
\(654\) | 0.618034 | + | 1.90211i | 0.0241670 | + | 0.0743785i | ||||
\(655\) | −7.41641 | − | 22.8254i | −0.289783 | − | 0.891860i | ||||
\(656\) | 1.61803 | + | 1.17557i | 0.0631736 | + | 0.0458983i | ||||
\(657\) | −11.3262 | + | 8.22899i | −0.441879 | + | 0.321044i | ||||
\(658\) | 9.88854 | − | 30.4338i | 0.385496 | − | 1.18643i | ||||
\(659\) | −4.00000 | −0.155818 | −0.0779089 | − | 0.996960i | \(-0.524824\pi\) | ||||
−0.0779089 | + | 0.996960i | \(0.524824\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.0000 | −1.01128 | −0.505641 | − | 0.862744i | \(-0.668744\pi\) | ||||
−0.505641 | + | 0.862744i | \(0.668744\pi\) | |||||||
\(662\) | 6.18034 | − | 19.0211i | 0.240206 | − | 0.739277i | ||||
\(663\) | 3.23607 | − | 2.35114i | 0.125678 | − | 0.0913108i | ||||
\(664\) | 29.1246 | + | 21.1603i | 1.13025 | + | 0.821178i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.85410 | − | 5.70634i | −0.0718450 | − | 0.221116i | ||||
\(667\) | −38.8328 | − | 28.2137i | −1.50361 | − | 1.09244i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −4.94427 | + | 15.2169i | −0.191157 | + | 0.588320i | ||||
\(670\) | −8.00000 | −0.309067 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −20.0000 | −0.771517 | ||||||||
\(673\) | 14.2148 | − | 43.7486i | 0.547940 | − | 1.68638i | −0.165957 | − | 0.986133i | \(-0.553071\pi\) |
0.713896 | − | 0.700252i | \(-0.246929\pi\) | |||||||
\(674\) | 17.7984 | − | 12.9313i | 0.685568 | − | 0.498094i | ||||
\(675\) | −0.809017 | − | 0.587785i | −0.0311391 | − | 0.0226239i | ||||
\(676\) | 2.78115 | + | 8.55951i | 0.106967 | + | 0.329212i | ||||
\(677\) | −5.56231 | − | 17.1190i | −0.213777 | − | 0.657937i | −0.999238 | − | 0.0390266i | \(-0.987574\pi\) |
0.785461 | − | 0.618911i | \(-0.212426\pi\) | |||||||
\(678\) | 4.85410 | + | 3.52671i | 0.186421 | + | 0.135443i | ||||
\(679\) | 6.47214 | − | 4.70228i | 0.248378 | − | 0.180457i | ||||
\(680\) | −3.70820 | + | 11.4127i | −0.142203 | + | 0.437656i | ||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 20.0000 | 0.765279 | 0.382639 | − | 0.923898i | \(-0.375015\pi\) | ||||
0.382639 | + | 0.923898i | \(0.375015\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.23607 | − | 2.35114i | 0.123644 | − | 0.0898325i | ||||
\(686\) | −6.47214 | − | 4.70228i | −0.247107 | − | 0.179534i | ||||
\(687\) | −1.85410 | − | 5.70634i | −0.0707384 | − | 0.217710i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.70820 | − | 7.05342i | −0.369853 | − | 0.268714i | ||||
\(690\) | 12.9443 | − | 9.40456i | 0.492780 | − | 0.358026i | ||||
\(691\) | −8.65248 | + | 26.6296i | −0.329156 | + | 1.01304i | 0.640374 | + | 0.768063i | \(0.278779\pi\) |
−0.969530 | + | 0.244974i | \(0.921221\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | −4.94427 | + | 15.2169i | −0.187547 | + | 0.577210i | ||||
\(696\) | 14.5623 | − | 10.5801i | 0.551983 | − | 0.401039i | ||||
\(697\) | −3.23607 | − | 2.35114i | −0.122575 | − | 0.0890558i | ||||
\(698\) | 1.85410 | + | 5.70634i | 0.0701788 | + | 0.215988i | ||||
\(699\) | 9.27051 | + | 28.5317i | 0.350643 | + | 1.07917i | ||||
\(700\) | 3.23607 | + | 2.35114i | 0.122312 | + | 0.0888648i | ||||
\(701\) | 40.4508 | − | 29.3893i | 1.52781 | − | 1.11002i | 0.570366 | − | 0.821391i | \(-0.306802\pi\) |
0.957442 | − | 0.288626i | \(-0.0931985\pi\) | |||||||
\(702\) | 0.618034 | − | 1.90211i | 0.0233262 | − | 0.0717906i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 16.0000 | 0.602595 | ||||||||
\(706\) | −5.56231 | + | 17.1190i | −0.209340 | + | 0.644283i | ||||
\(707\) | −6.47214 | + | 4.70228i | −0.243410 | + | 0.176848i | ||||
\(708\) | 3.23607 | + | 2.35114i | 0.121619 | + | 0.0883613i | ||||
\(709\) | 11.7426 | + | 36.1401i | 0.441004 | + | 1.35727i | 0.886807 | + | 0.462140i | \(0.152918\pi\) |
−0.445802 | + | 0.895131i | \(0.647082\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.23607 | − | 2.35114i | −0.121362 | − | 0.0881747i | ||||
\(712\) | 14.5623 | − | 10.5801i | 0.545745 | − | 0.396507i | ||||
\(713\) | −19.7771 | + | 60.8676i | −0.740658 | + | 2.27951i | ||||
\(714\) | −8.00000 | −0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.0000 | −0.448461 | ||||||||
\(717\) | 7.41641 | − | 22.8254i | 0.276971 | − | 0.852429i | ||||
\(718\) | 6.47214 | − | 4.70228i | 0.241538 | − | 0.175488i | ||||
\(719\) | −19.4164 | − | 14.1068i | −0.724110 | − | 0.526097i | 0.163585 | − | 0.986529i | \(-0.447694\pi\) |
−0.887695 | + | 0.460433i | \(0.847694\pi\) | |||||||
\(720\) | 0.618034 | + | 1.90211i | 0.0230328 | + | 0.0708876i | ||||
\(721\) | −9.88854 | − | 30.4338i | −0.368269 | − | 1.13341i | ||||
\(722\) | −15.3713 | − | 11.1679i | −0.572061 | − | 0.415627i | ||||
\(723\) | −8.09017 | + | 5.87785i | −0.300877 | + | 0.218600i | ||||
\(724\) | −6.79837 | + | 20.9232i | −0.252660 | + | 0.777606i | ||||
\(725\) | −6.00000 | −0.222834 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(728\) | −7.41641 | + | 22.8254i | −0.274870 | + | 0.845964i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −22.6525 | − | 16.4580i | −0.838406 | − | 0.609137i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −1.85410 | − | 5.70634i | −0.0685296 | − | 0.210912i | ||||
\(733\) | 24.2705 | + | 17.6336i | 0.896452 | + | 0.651310i | 0.937552 | − | 0.347845i | \(-0.113086\pi\) |
−0.0411004 | + | 0.999155i | \(0.513086\pi\) | |||||||
\(734\) | −25.8885 | + | 18.8091i | −0.955564 | + | 0.694258i | ||||
\(735\) | 5.56231 | − | 17.1190i | 0.205169 | − | 0.631444i | ||||
\(736\) | −40.0000 | −1.47442 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.00000 | −0.0736210 | ||||||||
\(739\) | −2.47214 | + | 7.60845i | −0.0909390 | + | 0.279881i | −0.986174 | − | 0.165713i | \(-0.947008\pi\) |
0.895235 | + | 0.445594i | \(0.147008\pi\) | |||||||
\(740\) | −9.70820 | + | 7.05342i | −0.356881 | + | 0.259289i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.41641 | + | 22.8254i | 0.272265 | + | 0.837945i | ||||
\(743\) | −12.3607 | − | 38.0423i | −0.453469 | − | 1.39564i | −0.872923 | − | 0.487858i | \(-0.837778\pi\) |
0.419453 | − | 0.907777i | \(-0.362222\pi\) | |||||||
\(744\) | −19.4164 | − | 14.1068i | −0.711840 | − | 0.517182i | ||||
\(745\) | 35.5967 | − | 25.8626i | 1.30416 | − | 0.947531i | ||||
\(746\) | −0.618034 | + | 1.90211i | −0.0226278 | + | 0.0696413i | ||||
\(747\) | −12.0000 | −0.439057 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −48.0000 | −1.75388 | ||||||||
\(750\) | 3.70820 | − | 11.4127i | 0.135404 | − | 0.416732i | ||||
\(751\) | 6.47214 | − | 4.70228i | 0.236172 | − | 0.171589i | −0.463404 | − | 0.886147i | \(-0.653372\pi\) |
0.699576 | + | 0.714558i | \(0.253372\pi\) | |||||||
\(752\) | 6.47214 | + | 4.70228i | 0.236015 | + | 0.171475i | ||||
\(753\) | −1.23607 | − | 3.80423i | −0.0450448 | − | 0.138634i | ||||
\(754\) | −3.70820 | − | 11.4127i | −0.135045 | − | 0.415625i | ||||
\(755\) | −32.3607 | − | 23.5114i | −1.17773 | − | 0.855668i | ||||
\(756\) | 3.23607 | − | 2.35114i | 0.117695 | − | 0.0855102i | ||||
\(757\) | −3.09017 | + | 9.51057i | −0.112314 | + | 0.345667i | −0.991377 | − | 0.131038i | \(-0.958169\pi\) |
0.879063 | + | 0.476705i | \(0.158169\pi\) | |||||||
\(758\) | −28.0000 | −1.01701 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.85410 | + | 5.70634i | −0.0672111 | + | 0.206855i | −0.979022 | − | 0.203757i | \(-0.934685\pi\) |
0.911810 | + | 0.410612i | \(0.134685\pi\) | |||||||
\(762\) | −3.23607 | + | 2.35114i | −0.117230 | + | 0.0851729i | ||||
\(763\) | 6.47214 | + | 4.70228i | 0.234307 | + | 0.170234i | ||||
\(764\) | −2.47214 | − | 7.60845i | −0.0894387 | − | 0.275264i | ||||
\(765\) | −1.23607 | − | 3.80423i | −0.0446901 | − | 0.137542i | ||||
\(766\) | −12.9443 | − | 9.40456i | −0.467696 | − | 0.339801i | ||||
\(767\) | 6.47214 | − | 4.70228i | 0.233695 | − | 0.169790i | ||||
\(768\) | 5.25329 | − | 16.1680i | 0.189562 | − | 0.583411i | ||||
\(769\) | −2.00000 | −0.0721218 | −0.0360609 | − | 0.999350i | \(-0.511481\pi\) | ||||
−0.0360609 | + | 0.999350i | \(0.511481\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.0000 | 0.504198 | ||||||||
\(772\) | −4.32624 | + | 13.3148i | −0.155705 | + | 0.479210i | ||||
\(773\) | −4.85410 | + | 3.52671i | −0.174590 | + | 0.126847i | −0.671648 | − | 0.740870i | \(-0.734413\pi\) |
0.497059 | + | 0.867717i | \(0.334413\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.47214 | + | 7.60845i | 0.0888017 | + | 0.273304i | ||||
\(776\) | 1.85410 |