Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(5,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.l (of order \(6\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Root | \(1.71298 + 0.256290i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.5 |
Dual form | 126.2.l.a.101.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.56012 | − | 0.752355i | −0.900733 | − | 0.434373i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.80966 | − | 3.13442i | −0.809304 | − | 1.40175i | −0.913347 | − | 0.407182i | \(-0.866511\pi\) |
0.104043 | − | 0.994573i | \(-0.466822\pi\) | |||||||
\(6\) | 0.752355 | − | 1.56012i | 0.307148 | − | 0.636915i | ||||
\(7\) | −2.41308 | − | 1.08492i | −0.912058 | − | 0.410061i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.86792 | + | 2.34752i | 0.622641 | + | 0.782508i | ||||
\(10\) | 3.13442 | − | 1.80966i | 0.991190 | − | 0.572264i | ||||
\(11\) | −1.73534 | − | 1.00190i | −0.523224 | − | 0.302083i | 0.215029 | − | 0.976608i | \(-0.431015\pi\) |
−0.738253 | + | 0.674524i | \(0.764349\pi\) | |||||||
\(12\) | 1.56012 | + | 0.752355i | 0.450367 | + | 0.217186i | ||||
\(13\) | 2.95206 | + | 1.70437i | 0.818754 | + | 0.472708i | 0.849987 | − | 0.526804i | \(-0.176610\pi\) |
−0.0312328 | + | 0.999512i | \(0.509943\pi\) | |||||||
\(14\) | 1.08492 | − | 2.41308i | 0.289957 | − | 0.644923i | ||||
\(15\) | 0.465079 | + | 6.25156i | 0.120083 | + | 1.61415i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −3.08709 | − | 5.34700i | −0.748730 | − | 1.29684i | −0.948432 | − | 0.316981i | \(-0.897331\pi\) |
0.199702 | − | 0.979857i | \(-0.436002\pi\) | |||||||
\(18\) | −2.34752 | + | 1.86792i | −0.553316 | + | 0.440274i | ||||
\(19\) | 0.877353 | + | 0.506540i | 0.201279 | + | 0.116208i | 0.597252 | − | 0.802054i | \(-0.296259\pi\) |
−0.395973 | + | 0.918262i | \(0.629593\pi\) | |||||||
\(20\) | 1.80966 | + | 3.13442i | 0.404652 | + | 0.700877i | ||||
\(21\) | 2.94844 | + | 3.50809i | 0.643402 | + | 0.765528i | ||||
\(22\) | 1.00190 | − | 1.73534i | 0.213605 | − | 0.369975i | ||||
\(23\) | −2.62232 | + | 1.51400i | −0.546791 | + | 0.315690i | −0.747827 | − | 0.663894i | \(-0.768903\pi\) |
0.201035 | + | 0.979584i | \(0.435569\pi\) | |||||||
\(24\) | −0.752355 | + | 1.56012i | −0.153574 | + | 0.318457i | ||||
\(25\) | −4.04972 | + | 7.01433i | −0.809945 | + | 1.40287i | ||||
\(26\) | −1.70437 | + | 2.95206i | −0.334255 | + | 0.578946i | ||||
\(27\) | −1.14800 | − | 5.06775i | −0.220934 | − | 0.975289i | ||||
\(28\) | 2.41308 | + | 1.08492i | 0.456029 | + | 0.205030i | ||||
\(29\) | 5.04560 | − | 2.91308i | 0.936945 | − | 0.540945i | 0.0479434 | − | 0.998850i | \(-0.484733\pi\) |
0.889001 | + | 0.457905i | \(0.151400\pi\) | |||||||
\(30\) | −6.25156 | + | 0.465079i | −1.14137 | + | 0.0849113i | ||||
\(31\) | − | 0.909687i | − | 0.163385i | −0.996658 | − | 0.0816923i | \(-0.973968\pi\) | ||
0.996658 | − | 0.0816923i | \(-0.0260325\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 1.95354 | + | 2.86867i | 0.340068 | + | 0.499371i | ||||
\(34\) | 5.34700 | − | 3.08709i | 0.917003 | − | 0.529432i | ||||
\(35\) | 0.966257 | + | 9.52693i | 0.163327 | + | 1.61035i | ||||
\(36\) | −1.86792 | − | 2.34752i | −0.311320 | − | 0.391254i | ||||
\(37\) | 3.66825 | − | 6.35359i | 0.603056 | − | 1.04452i | −0.389299 | − | 0.921111i | \(-0.627283\pi\) |
0.992355 | − | 0.123413i | \(-0.0393839\pi\) | |||||||
\(38\) | −0.506540 | + | 0.877353i | −0.0821717 | + | 0.142325i | ||||
\(39\) | −3.32326 | − | 4.88001i | −0.532148 | − | 0.781428i | ||||
\(40\) | −3.13442 | + | 1.80966i | −0.495595 | + | 0.286132i | ||||
\(41\) | −2.85045 | + | 4.93712i | −0.445165 | + | 0.771048i | −0.998064 | − | 0.0622002i | \(-0.980188\pi\) |
0.552899 | + | 0.833248i | \(0.313522\pi\) | |||||||
\(42\) | −3.50809 | + | 2.94844i | −0.541310 | + | 0.454954i | ||||
\(43\) | −2.39949 | − | 4.15605i | −0.365919 | − | 0.633791i | 0.623004 | − | 0.782219i | \(-0.285912\pi\) |
−0.988923 | + | 0.148428i | \(0.952579\pi\) | |||||||
\(44\) | 1.73534 | + | 1.00190i | 0.261612 | + | 0.151042i | ||||
\(45\) | 3.97782 | − | 10.1031i | 0.592978 | − | 1.50608i | ||||
\(46\) | −1.51400 | − | 2.62232i | −0.223227 | − | 0.386640i | ||||
\(47\) | −2.23022 | −0.325311 | −0.162655 | − | 0.986683i | \(-0.552006\pi\) | ||||
−0.162655 | + | 0.986683i | \(0.552006\pi\) | |||||||
\(48\) | −1.56012 | − | 0.752355i | −0.225183 | − | 0.108593i | ||||
\(49\) | 4.64590 | + | 5.23599i | 0.663700 | + | 0.747999i | ||||
\(50\) | −7.01433 | − | 4.04972i | −0.991975 | − | 0.572717i | ||||
\(51\) | 0.793376 | + | 10.6645i | 0.111095 | + | 1.49333i | ||||
\(52\) | −2.95206 | − | 1.70437i | −0.409377 | − | 0.236354i | ||||
\(53\) | 7.58088 | − | 4.37683i | 1.04131 | − | 0.601203i | 0.121109 | − | 0.992639i | \(-0.461355\pi\) |
0.920205 | + | 0.391436i | \(0.128022\pi\) | |||||||
\(54\) | 5.06775 | − | 1.14800i | 0.689633 | − | 0.156224i | ||||
\(55\) | 7.25237i | 0.977909i | ||||||||
\(56\) | −1.08492 | + | 2.41308i | −0.144978 | + | 0.322461i | ||||
\(57\) | −0.987674 | − | 1.45034i | −0.130821 | − | 0.192103i | ||||
\(58\) | 2.91308 | + | 5.04560i | 0.382506 | + | 0.662520i | ||||
\(59\) | 8.98627 | 1.16991 | 0.584956 | − | 0.811065i | \(-0.301112\pi\) | ||||
0.584956 | + | 0.811065i | \(0.301112\pi\) | |||||||
\(60\) | −0.465079 | − | 6.25156i | −0.0600414 | − | 0.807073i | ||||
\(61\) | − | 14.7121i | − | 1.88369i | −0.336053 | − | 0.941843i | \(-0.609092\pi\) | ||
0.336053 | − | 0.941843i | \(-0.390908\pi\) | |||||||
\(62\) | 0.909687 | 0.115530 | ||||||||
\(63\) | −1.96057 | − | 7.69130i | −0.247009 | − | 0.969013i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 12.3373i | − | 1.53026i | ||||||
\(66\) | −2.86867 | + | 1.95354i | −0.353108 | + | 0.240465i | ||||
\(67\) | −8.31641 | −1.01601 | −0.508006 | − | 0.861354i | \(-0.669617\pi\) | ||||
−0.508006 | + | 0.861354i | \(0.669617\pi\) | |||||||
\(68\) | 3.08709 | + | 5.34700i | 0.374365 | + | 0.648419i | ||||
\(69\) | 5.23019 | − | 0.389094i | 0.629640 | − | 0.0468415i | ||||
\(70\) | −9.52693 | + | 0.966257i | −1.13869 | + | 0.115490i | ||||
\(71\) | 0.466287i | 0.0553381i | 0.999617 | + | 0.0276691i | \(0.00880846\pi\) | ||||
−0.999617 | + | 0.0276691i | \(0.991192\pi\) | |||||||
\(72\) | 2.34752 | − | 1.86792i | 0.276658 | − | 0.220137i | ||||
\(73\) | −3.65022 | + | 2.10746i | −0.427226 | + | 0.246659i | −0.698164 | − | 0.715938i | \(-0.746000\pi\) |
0.270938 | + | 0.962597i | \(0.412666\pi\) | |||||||
\(74\) | 6.35359 | + | 3.66825i | 0.738590 | + | 0.426425i | ||||
\(75\) | 11.5953 | − | 7.89633i | 1.33891 | − | 0.911790i | ||||
\(76\) | −0.877353 | − | 0.506540i | −0.100639 | − | 0.0581041i | ||||
\(77\) | 3.10053 | + | 4.30036i | 0.353338 | + | 0.490071i | ||||
\(78\) | 4.88001 | − | 3.32326i | 0.552553 | − | 0.376285i | ||||
\(79\) | 3.82533 | 0.430384 | 0.215192 | − | 0.976572i | \(-0.430962\pi\) | ||||
0.215192 | + | 0.976572i | \(0.430962\pi\) | |||||||
\(80\) | −1.80966 | − | 3.13442i | −0.202326 | − | 0.350439i | ||||
\(81\) | −2.02173 | + | 8.76998i | −0.224637 | + | 0.974443i | ||||
\(82\) | −4.93712 | − | 2.85045i | −0.545213 | − | 0.314779i | ||||
\(83\) | −4.00481 | − | 6.93654i | −0.439585 | − | 0.761384i | 0.558072 | − | 0.829792i | \(-0.311541\pi\) |
−0.997657 | + | 0.0684084i | \(0.978208\pi\) | |||||||
\(84\) | −2.94844 | − | 3.50809i | −0.321701 | − | 0.382764i | ||||
\(85\) | −11.1732 | + | 19.3525i | −1.21190 | + | 2.09907i | ||||
\(86\) | 4.15605 | − | 2.39949i | 0.448158 | − | 0.258744i | ||||
\(87\) | −10.0634 | + | 0.748656i | −1.07891 | + | 0.0802643i | ||||
\(88\) | −1.00190 | + | 1.73534i | −0.106803 | + | 0.184988i | ||||
\(89\) | −2.39324 | + | 4.14521i | −0.253683 | + | 0.439391i | −0.964537 | − | 0.263948i | \(-0.914975\pi\) |
0.710854 | + | 0.703339i | \(0.248309\pi\) | |||||||
\(90\) | 10.1031 | + | 3.97782i | 1.06496 | + | 0.419299i | ||||
\(91\) | −5.27445 | − | 7.31553i | −0.552912 | − | 0.766876i | ||||
\(92\) | 2.62232 | − | 1.51400i | 0.273396 | − | 0.157845i | ||||
\(93\) | −0.684408 | + | 1.41922i | −0.0709698 | + | 0.147166i | ||||
\(94\) | − | 2.23022i | − | 0.230029i | ||||||
\(95\) | − | 3.66666i | − | 0.376191i | ||||||
\(96\) | 0.752355 | − | 1.56012i | 0.0767869 | − | 0.159229i | ||||
\(97\) | −10.1835 | + | 5.87944i | −1.03398 | + | 0.596967i | −0.918121 | − | 0.396299i | \(-0.870294\pi\) |
−0.115856 | + | 0.993266i | \(0.536961\pi\) | |||||||
\(98\) | −5.23599 | + | 4.64590i | −0.528915 | + | 0.469307i | ||||
\(99\) | −0.889499 | − | 5.94521i | −0.0893980 | − | 0.597516i | ||||
\(100\) | 4.04972 | − | 7.01433i | 0.404972 | − | 0.701433i | ||||
\(101\) | −6.44610 | + | 11.1650i | −0.641411 | + | 1.11096i | 0.343707 | + | 0.939077i | \(0.388317\pi\) |
−0.985118 | + | 0.171879i | \(0.945016\pi\) | |||||||
\(102\) | −10.6645 | + | 0.793376i | −1.05595 | + | 0.0785560i | ||||
\(103\) | 9.31740 | − | 5.37940i | 0.918070 | − | 0.530048i | 0.0350515 | − | 0.999386i | \(-0.488840\pi\) |
0.883019 | + | 0.469337i | \(0.155507\pi\) | |||||||
\(104\) | 1.70437 | − | 2.95206i | 0.167127 | − | 0.289473i | ||||
\(105\) | 5.66017 | − | 15.5901i | 0.552376 | − | 1.52144i | ||||
\(106\) | 4.37683 | + | 7.58088i | 0.425115 | + | 0.736321i | ||||
\(107\) | −2.28602 | − | 1.31983i | −0.220998 | − | 0.127593i | 0.385414 | − | 0.922744i | \(-0.374058\pi\) |
−0.606412 | + | 0.795151i | \(0.707392\pi\) | |||||||
\(108\) | 1.14800 | + | 5.06775i | 0.110467 | + | 0.487644i | ||||
\(109\) | 4.51768 | + | 7.82484i | 0.432715 | + | 0.749484i | 0.997106 | − | 0.0760233i | \(-0.0242224\pi\) |
−0.564391 | + | 0.825507i | \(0.690889\pi\) | |||||||
\(110\) | −7.25237 | −0.691486 | ||||||||
\(111\) | −10.5031 | + | 7.15251i | −0.996905 | + | 0.678886i | ||||
\(112\) | −2.41308 | − | 1.08492i | −0.228015 | − | 0.102515i | ||||
\(113\) | −1.46411 | − | 0.845306i | −0.137732 | − | 0.0795197i | 0.429551 | − | 0.903043i | \(-0.358672\pi\) |
−0.567283 | + | 0.823523i | \(0.692005\pi\) | |||||||
\(114\) | 1.45034 | − | 0.987674i | 0.135837 | − | 0.0925042i | ||||
\(115\) | 9.49100 | + | 5.47963i | 0.885041 | + | 0.510978i | ||||
\(116\) | −5.04560 | + | 2.91308i | −0.468472 | + | 0.270473i | ||||
\(117\) | 1.51317 | + | 10.1137i | 0.139892 | + | 0.935008i | ||||
\(118\) | 8.98627i | 0.827253i | ||||||||
\(119\) | 1.64833 | + | 16.2520i | 0.151103 | + | 1.48982i | ||||
\(120\) | 6.25156 | − | 0.465079i | 0.570687 | − | 0.0424557i | ||||
\(121\) | −3.49240 | − | 6.04902i | −0.317491 | − | 0.549911i | ||||
\(122\) | 14.7121 | 1.33197 | ||||||||
\(123\) | 8.16149 | − | 5.55793i | 0.735897 | − | 0.501141i | ||||
\(124\) | 0.909687i | 0.0816923i | ||||||||
\(125\) | 11.2179 | 1.00336 | ||||||||
\(126\) | 7.69130 | − | 1.96057i | 0.685196 | − | 0.174662i | ||||
\(127\) | 17.9292 | 1.59096 | 0.795478 | − | 0.605983i | \(-0.207220\pi\) | ||||
0.795478 | + | 0.605983i | \(0.207220\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 0.616665 | + | 8.28919i | 0.0542944 | + | 0.729822i | ||||
\(130\) | 12.3373 | 1.08205 | ||||||||
\(131\) | 8.66567 | + | 15.0094i | 0.757123 | + | 1.31138i | 0.944312 | + | 0.329052i | \(0.106729\pi\) |
−0.187188 | + | 0.982324i | \(0.559938\pi\) | |||||||
\(132\) | −1.95354 | − | 2.86867i | −0.170034 | − | 0.249685i | ||||
\(133\) | −1.56757 | − | 2.17418i | −0.135925 | − | 0.188525i | ||||
\(134\) | − | 8.31641i | − | 0.718429i | ||||||
\(135\) | −13.8070 | + | 12.7692i | −1.18831 | + | 1.09900i | ||||
\(136\) | −5.34700 | + | 3.08709i | −0.458501 | + | 0.264716i | ||||
\(137\) | 0.000558693 | 0 | 0.000322562i | 4.77324e−5 | 0 | 2.75583e-5i | 0.500024 | − | 0.866012i | \(-0.333325\pi\) |
−0.499976 | + | 0.866039i | \(0.666658\pi\) | |||||||
\(138\) | 0.389094 | + | 5.23019i | 0.0331219 | + | 0.445223i | ||||
\(139\) | −8.73273 | − | 5.04185i | −0.740701 | − | 0.427644i | 0.0816233 | − | 0.996663i | \(-0.473990\pi\) |
−0.822324 | + | 0.569019i | \(0.807323\pi\) | |||||||
\(140\) | −0.966257 | − | 9.52693i | −0.0816636 | − | 0.805173i | ||||
\(141\) | 3.47940 | + | 1.67792i | 0.293018 | + | 0.141306i | ||||
\(142\) | −0.466287 | −0.0391300 | ||||||||
\(143\) | −3.41521 | − | 5.91532i | −0.285594 | − | 0.494664i | ||||
\(144\) | 1.86792 | + | 2.34752i | 0.155660 | + | 0.195627i | ||||
\(145\) | −18.2616 | − | 10.5434i | −1.51655 | − | 0.875578i | ||||
\(146\) | −2.10746 | − | 3.65022i | −0.174414 | − | 0.302095i | ||||
\(147\) | −3.30882 | − | 11.6641i | −0.272907 | − | 0.962040i | ||||
\(148\) | −3.66825 | + | 6.35359i | −0.301528 | + | 0.522262i | ||||
\(149\) | −9.74064 | + | 5.62376i | −0.797984 | + | 0.460716i | −0.842766 | − | 0.538280i | \(-0.819074\pi\) |
0.0447816 | + | 0.998997i | \(0.485741\pi\) | |||||||
\(150\) | 7.89633 | + | 11.5953i | 0.644733 | + | 0.946752i | ||||
\(151\) | 2.36189 | − | 4.09092i | 0.192208 | − | 0.332914i | −0.753774 | − | 0.657134i | \(-0.771768\pi\) |
0.945982 | + | 0.324220i | \(0.105102\pi\) | |||||||
\(152\) | 0.506540 | − | 0.877353i | 0.0410858 | − | 0.0711627i | ||||
\(153\) | 6.78575 | − | 17.2348i | 0.548596 | − | 1.39335i | ||||
\(154\) | −4.30036 | + | 3.10053i | −0.346533 | + | 0.249848i | ||||
\(155\) | −2.85134 | + | 1.64622i | −0.229025 | + | 0.132228i | ||||
\(156\) | 3.32326 | + | 4.88001i | 0.266074 | + | 0.390714i | ||||
\(157\) | − | 3.06972i | − | 0.244990i | −0.992469 | − | 0.122495i | \(-0.960910\pi\) | ||
0.992469 | − | 0.122495i | \(-0.0390895\pi\) | |||||||
\(158\) | 3.82533i | 0.304327i | ||||||||
\(159\) | −15.1200 | + | 1.12484i | −1.19909 | + | 0.0892053i | ||||
\(160\) | 3.13442 | − | 1.80966i | 0.247798 | − | 0.143066i | ||||
\(161\) | 7.97043 | − | 0.808390i | 0.628158 | − | 0.0637101i | ||||
\(162\) | −8.76998 | − | 2.02173i | −0.689035 | − | 0.158842i | ||||
\(163\) | −1.43687 | + | 2.48873i | −0.112544 | + | 0.194932i | −0.916795 | − | 0.399357i | \(-0.869233\pi\) |
0.804251 | + | 0.594289i | \(0.202567\pi\) | |||||||
\(164\) | 2.85045 | − | 4.93712i | 0.222582 | − | 0.385524i | ||||
\(165\) | 5.45636 | − | 11.3145i | 0.424777 | − | 0.880835i | ||||
\(166\) | 6.93654 | − | 4.00481i | 0.538380 | − | 0.310834i | ||||
\(167\) | 0.730517 | − | 1.26529i | 0.0565291 | − | 0.0979113i | −0.836376 | − | 0.548156i | \(-0.815330\pi\) |
0.892905 | + | 0.450245i | \(0.148663\pi\) | |||||||
\(168\) | 3.50809 | − | 2.94844i | 0.270655 | − | 0.227477i | ||||
\(169\) | −0.690233 | − | 1.19552i | −0.0530948 | − | 0.0919630i | ||||
\(170\) | −19.3525 | − | 11.1732i | −1.48427 | − | 0.856942i | ||||
\(171\) | 0.449713 | + | 3.00578i | 0.0343904 | + | 0.229858i | ||||
\(172\) | 2.39949 | + | 4.15605i | 0.182960 | + | 0.316896i | ||||
\(173\) | −3.07081 | −0.233470 | −0.116735 | − | 0.993163i | \(-0.537243\pi\) | ||||
−0.116735 | + | 0.993163i | \(0.537243\pi\) | |||||||
\(174\) | −0.748656 | − | 10.0634i | −0.0567554 | − | 0.762904i | ||||
\(175\) | 17.3823 | − | 12.5325i | 1.31398 | − | 0.947368i | ||||
\(176\) | −1.73534 | − | 1.00190i | −0.130806 | − | 0.0755209i | ||||
\(177\) | −14.0196 | − | 6.76087i | −1.05378 | − | 0.508178i | ||||
\(178\) | −4.14521 | − | 2.39324i | −0.310696 | − | 0.179381i | ||||
\(179\) | 16.7310 | − | 9.65966i | 1.25054 | − | 0.721997i | 0.279320 | − | 0.960198i | \(-0.409891\pi\) |
0.971216 | + | 0.238201i | \(0.0765578\pi\) | |||||||
\(180\) | −3.97782 | + | 10.1031i | −0.296489 | + | 0.753038i | ||||
\(181\) | − | 7.89318i | − | 0.586695i | −0.956006 | − | 0.293348i | \(-0.905231\pi\) | ||
0.956006 | − | 0.293348i | \(-0.0947693\pi\) | |||||||
\(182\) | 7.31553 | − | 5.27445i | 0.542263 | − | 0.390968i | ||||
\(183\) | −11.0687 | + | 22.9525i | −0.818222 | + | 1.69670i | ||||
\(184\) | 1.51400 | + | 2.62232i | 0.111613 | + | 0.193320i | ||||
\(185\) | −26.5531 | −1.95222 | ||||||||
\(186\) | −1.41922 | − | 0.684408i | −0.104062 | − | 0.0501832i | ||||
\(187\) | 12.3718i | 0.904715i | ||||||||
\(188\) | 2.23022 | 0.162655 | ||||||||
\(189\) | −2.72787 | + | 13.4744i | −0.198424 | + | 0.980116i | ||||
\(190\) | 3.66666 | 0.266007 | ||||||||
\(191\) | − | 13.3042i | − | 0.962660i | −0.876540 | − | 0.481330i | \(-0.840154\pi\) | ||
0.876540 | − | 0.481330i | \(-0.159846\pi\) | |||||||
\(192\) | 1.56012 | + | 0.752355i | 0.112592 | + | 0.0542966i | ||||
\(193\) | 6.53573 | 0.470452 | 0.235226 | − | 0.971941i | \(-0.424417\pi\) | ||||
0.235226 | + | 0.971941i | \(0.424417\pi\) | |||||||
\(194\) | −5.87944 | − | 10.1835i | −0.422119 | − | 0.731132i | ||||
\(195\) | −9.28205 | + | 19.2476i | −0.664701 | + | 1.37835i | ||||
\(196\) | −4.64590 | − | 5.23599i | −0.331850 | − | 0.373999i | ||||
\(197\) | − | 4.44250i | − | 0.316515i | −0.987398 | − | 0.158258i | \(-0.949412\pi\) | ||
0.987398 | − | 0.158258i | \(-0.0505876\pi\) | |||||||
\(198\) | 5.94521 | − | 0.889499i | 0.422508 | − | 0.0632139i | ||||
\(199\) | 9.96868 | − | 5.75542i | 0.706661 | − | 0.407991i | −0.103163 | − | 0.994665i | \(-0.532896\pi\) |
0.809823 | + | 0.586674i | \(0.199563\pi\) | |||||||
\(200\) | 7.01433 | + | 4.04972i | 0.495988 | + | 0.286359i | ||||
\(201\) | 12.9746 | + | 6.25690i | 0.915155 | + | 0.441328i | ||||
\(202\) | −11.1650 | − | 6.44610i | −0.785565 | − | 0.453546i | ||||
\(203\) | −15.3359 | + | 1.55542i | −1.07637 | + | 0.109169i | ||||
\(204\) | −0.793376 | − | 10.6645i | −0.0555475 | − | 0.746666i | ||||
\(205\) | 20.6333 | 1.44109 | ||||||||
\(206\) | 5.37940 | + | 9.31740i | 0.374801 | + | 0.649174i | ||||
\(207\) | −8.45243 | − | 3.32793i | −0.587485 | − | 0.231307i | ||||
\(208\) | 2.95206 | + | 1.70437i | 0.204688 | + | 0.118177i | ||||
\(209\) | −1.01500 | − | 1.75804i | −0.0702092 | − | 0.121606i | ||||
\(210\) | 15.5901 | + | 5.66017i | 1.07582 | + | 0.390589i | ||||
\(211\) | 11.3005 | − | 19.5731i | 0.777961 | − | 1.34747i | −0.155155 | − | 0.987890i | \(-0.549588\pi\) |
0.933115 | − | 0.359577i | \(-0.117079\pi\) | |||||||
\(212\) | −7.58088 | + | 4.37683i | −0.520657 | + | 0.300602i | ||||
\(213\) | 0.350814 | − | 0.727462i | 0.0240374 | − | 0.0498449i | ||||
\(214\) | 1.31983 | − | 2.28602i | 0.0902219 | − | 0.156269i | ||||
\(215\) | −8.68453 | + | 15.0420i | −0.592280 | + | 1.02586i | ||||
\(216\) | −5.06775 | + | 1.14800i | −0.344817 | + | 0.0781118i | ||||
\(217\) | −0.986937 | + | 2.19515i | −0.0669976 | + | 0.149016i | ||||
\(218\) | −7.82484 | + | 4.51768i | −0.529965 | + | 0.305976i | ||||
\(219\) | 7.28033 | − | 0.541613i | 0.491959 | − | 0.0365988i | ||||
\(220\) | − | 7.25237i | − | 0.488954i | ||||||
\(221\) | − | 21.0462i | − | 1.41572i | ||||||
\(222\) | −7.15251 | − | 10.5031i | −0.480045 | − | 0.704919i | ||||
\(223\) | 16.2994 | − | 9.41045i | 1.09149 | − | 0.630170i | 0.157515 | − | 0.987517i | \(-0.449652\pi\) |
0.933972 | + | 0.357346i | \(0.116318\pi\) | |||||||
\(224\) | 1.08492 | − | 2.41308i | 0.0724892 | − | 0.161231i | ||||
\(225\) | −24.0309 | + | 3.59540i | −1.60206 | + | 0.239693i | ||||
\(226\) | 0.845306 | − | 1.46411i | 0.0562289 | − | 0.0973914i | ||||
\(227\) | −7.30665 | + | 12.6555i | −0.484960 | + | 0.839975i | −0.999851 | − | 0.0172809i | \(-0.994499\pi\) |
0.514891 | + | 0.857256i | \(0.327832\pi\) | |||||||
\(228\) | 0.987674 | + | 1.45034i | 0.0654103 | + | 0.0960513i | ||||
\(229\) | 2.06044 | − | 1.18959i | 0.136158 | − | 0.0786106i | −0.430374 | − | 0.902651i | \(-0.641618\pi\) |
0.566531 | + | 0.824040i | \(0.308285\pi\) | |||||||
\(230\) | −5.47963 | + | 9.49100i | −0.361316 | + | 0.625818i | ||||
\(231\) | −1.60179 | − | 9.04176i | −0.105390 | − | 0.594904i | ||||
\(232\) | −2.91308 | − | 5.04560i | −0.191253 | − | 0.331260i | ||||
\(233\) | 9.03470 | + | 5.21619i | 0.591883 | + | 0.341724i | 0.765842 | − | 0.643029i | \(-0.222323\pi\) |
−0.173959 | + | 0.984753i | \(0.555656\pi\) | |||||||
\(234\) | −10.1137 | + | 1.51317i | −0.661151 | + | 0.0989187i | ||||
\(235\) | 4.03593 | + | 6.99044i | 0.263275 | + | 0.456006i | ||||
\(236\) | −8.98627 | −0.584956 | ||||||||
\(237\) | −5.96796 | − | 2.87801i | −0.387661 | − | 0.186947i | ||||
\(238\) | −16.2520 | + | 1.64833i | −1.05346 | + | 0.106846i | ||||
\(239\) | 20.5971 | + | 11.8917i | 1.33232 | + | 0.769213i | 0.985654 | − | 0.168777i | \(-0.0539818\pi\) |
0.346662 | + | 0.937990i | \(0.387315\pi\) | |||||||
\(240\) | 0.465079 | + | 6.25156i | 0.0300207 | + | 0.403537i | ||||
\(241\) | 24.8105 | + | 14.3243i | 1.59818 | + | 0.922712i | 0.991837 | + | 0.127513i | \(0.0406994\pi\) |
0.606348 | + | 0.795200i | \(0.292634\pi\) | |||||||
\(242\) | 6.04902 | − | 3.49240i | 0.388846 | − | 0.224500i | ||||
\(243\) | 9.75228 | − | 12.1611i | 0.625609 | − | 0.780137i | ||||
\(244\) | 14.7121i | 0.941843i | ||||||||
\(245\) | 8.00430 | − | 24.0376i | 0.511376 | − | 1.53570i | ||||
\(246\) | 5.55793 | + | 8.16149i | 0.354360 | + | 0.520358i | ||||
\(247\) | 1.72667 | + | 2.99067i | 0.109865 | + | 0.190292i | ||||
\(248\) | −0.909687 | −0.0577652 | ||||||||
\(249\) | 1.02923 | + | 13.8348i | 0.0652248 | + | 0.876748i | ||||
\(250\) | 11.2179i | 0.709481i | ||||||||
\(251\) | −11.0301 | −0.696216 | −0.348108 | − | 0.937454i | \(-0.613176\pi\) | ||||
−0.348108 | + | 0.937454i | \(0.613176\pi\) | |||||||
\(252\) | 1.96057 | + | 7.69130i | 0.123505 | + | 0.484507i | ||||
\(253\) | 6.06748 | 0.381459 | ||||||||
\(254\) | 17.9292i | 1.12498i | ||||||||
\(255\) | 31.9914 | − | 21.7859i | 2.00338 | − | 1.36429i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.54890 | − | 13.0751i | −0.470888 | − | 0.815601i | 0.528558 | − | 0.848897i | \(-0.322733\pi\) |
−0.999446 | + | 0.0332960i | \(0.989400\pi\) | |||||||
\(258\) | −8.28919 | + | 0.616665i | −0.516062 | + | 0.0383919i | ||||
\(259\) | −15.7449 | + | 11.3520i | −0.978341 | + | 0.705377i | ||||
\(260\) | 12.3373i | 0.765128i | ||||||||
\(261\) | 16.2633 | + | 6.40326i | 1.00667 | + | 0.396352i | ||||
\(262\) | −15.0094 | + | 8.66567i | −0.927283 | + | 0.535367i | ||||
\(263\) | 17.0075 | + | 9.81926i | 1.04873 | + | 0.605482i | 0.922292 | − | 0.386493i | \(-0.126314\pi\) |
0.126433 | + | 0.991975i | \(0.459647\pi\) | |||||||
\(264\) | 2.86867 | − | 1.95354i | 0.176554 | − | 0.120232i | ||||
\(265\) | −27.4376 | − | 15.8411i | −1.68548 | − | 0.973112i | ||||
\(266\) | 2.17418 | − | 1.56757i | 0.133307 | − | 0.0961137i | ||||
\(267\) | 6.85240 | − | 4.66644i | 0.419360 | − | 0.285581i | ||||
\(268\) | 8.31641 | 0.508006 | ||||||||
\(269\) | 0.245503 | + | 0.425223i | 0.0149686 | + | 0.0259263i | 0.873413 | − | 0.486981i | \(-0.161902\pi\) |
−0.858444 | + | 0.512907i | \(0.828569\pi\) | |||||||
\(270\) | −12.7692 | − | 13.8070i | −0.777110 | − | 0.840265i | ||||
\(271\) | −12.1927 | − | 7.03945i | −0.740653 | − | 0.427616i | 0.0816537 | − | 0.996661i | \(-0.473980\pi\) |
−0.822307 | + | 0.569045i | \(0.807313\pi\) | |||||||
\(272\) | −3.08709 | − | 5.34700i | −0.187182 | − | 0.324209i | ||||
\(273\) | 2.72487 | + | 15.3813i | 0.164917 | + | 0.930920i | ||||
\(274\) | −0.000322562 | 0 | 0.000558693i | −1.94867e−5 | 0 | 3.37519e-5i | ||||
\(275\) | 14.0553 | − | 8.11481i | 0.847565 | − | 0.489342i | ||||
\(276\) | −5.23019 | + | 0.389094i | −0.314820 | + | 0.0234207i | ||||
\(277\) | −15.3600 | + | 26.6043i | −0.922894 | + | 1.59850i | −0.127981 | + | 0.991777i | \(0.540850\pi\) |
−0.794913 | + | 0.606723i | \(0.792484\pi\) | |||||||
\(278\) | 5.04185 | − | 8.73273i | 0.302390 | − | 0.523755i | ||||
\(279\) | 2.13551 | − | 1.69923i | 0.127850 | − | 0.101730i | ||||
\(280\) | 9.52693 | − | 0.966257i | 0.569343 | − | 0.0577449i | ||||
\(281\) | 6.86286 | − | 3.96227i | 0.409404 | − | 0.236369i | −0.281130 | − | 0.959670i | \(-0.590709\pi\) |
0.690534 | + | 0.723300i | \(0.257376\pi\) | |||||||
\(282\) | −1.67792 | + | 3.47940i | −0.0999185 | + | 0.207195i | ||||
\(283\) | 11.5159i | 0.684547i | 0.939600 | + | 0.342273i | \(0.111197\pi\) | ||||
−0.939600 | + | 0.342273i | \(0.888803\pi\) | |||||||
\(284\) | − | 0.466287i | − | 0.0276691i | ||||||
\(285\) | −2.75863 | + | 5.72041i | −0.163407 | + | 0.338848i | ||||
\(286\) | 5.91532 | − | 3.41521i | 0.349780 | − | 0.201946i | ||||
\(287\) | 12.2347 | − | 8.82115i | 0.722193 | − | 0.520696i | ||||
\(288\) | −2.34752 | + | 1.86792i | −0.138329 | + | 0.110068i | ||||
\(289\) | −10.5603 | + | 18.2909i | −0.621192 | + | 1.07594i | ||||
\(290\) | 10.5434 | − | 18.2616i | 0.619127 | − | 1.07236i | ||||
\(291\) | 20.3109 | − | 1.51101i | 1.19064 | − | 0.0885767i | ||||
\(292\) | 3.65022 | − | 2.10746i | 0.213613 | − | 0.123330i | ||||
\(293\) | −2.50937 | + | 4.34636i | −0.146599 | + | 0.253917i | −0.929968 | − | 0.367639i | \(-0.880166\pi\) |
0.783369 | + | 0.621557i | \(0.213499\pi\) | |||||||
\(294\) | 11.6641 | − | 3.30882i | 0.680265 | − | 0.192974i | ||||
\(295\) | −16.2621 | − | 28.1667i | −0.946814 | − | 1.63993i | ||||
\(296\) | −6.35359 | − | 3.66825i | −0.369295 | − | 0.213213i | ||||
\(297\) | −3.08519 | + | 9.94444i | −0.179021 | + | 0.577035i | ||||
\(298\) | −5.62376 | − | 9.74064i | −0.325776 | − | 0.564260i | ||||
\(299\) | −10.3217 | −0.596917 | ||||||||
\(300\) | −11.5953 | + | 7.89633i | −0.669455 | + | 0.455895i | ||||
\(301\) | 1.28120 | + | 12.6321i | 0.0738469 | + | 0.728104i | ||||
\(302\) | 4.09092 | + | 2.36189i | 0.235406 | + | 0.135912i | ||||
\(303\) | 18.4567 | − | 12.5689i | 1.06031 | − | 0.722064i | ||||
\(304\) | 0.877353 | + | 0.506540i | 0.0503197 | + | 0.0290521i | ||||
\(305\) | −46.1138 | + | 26.6238i | −2.64047 | + | 1.52447i | ||||
\(306\) | 17.2348 | + | 6.78575i | 0.985248 | + | 0.387916i | ||||
\(307\) | 17.5309i | 1.00054i | 0.865869 | + | 0.500271i | \(0.166766\pi\) | ||||
−0.865869 | + | 0.500271i | \(0.833234\pi\) | |||||||
\(308\) | −3.10053 | − | 4.30036i | −0.176669 | − | 0.245036i | ||||
\(309\) | −18.5834 | + | 1.38250i | −1.05717 | + | 0.0786474i | ||||
\(310\) | −1.64622 | − | 2.85134i | −0.0934992 | − | 0.161945i | ||||
\(311\) | 17.2952 | 0.980720 | 0.490360 | − | 0.871520i | \(-0.336865\pi\) | ||||
0.490360 | + | 0.871520i | \(0.336865\pi\) | |||||||
\(312\) | −4.88001 | + | 3.32326i | −0.276276 | + | 0.188143i | ||||
\(313\) | 8.99498i | 0.508426i | 0.967148 | + | 0.254213i | \(0.0818165\pi\) | ||||
−0.967148 | + | 0.254213i | \(0.918184\pi\) | |||||||
\(314\) | 3.06972 | 0.173234 | ||||||||
\(315\) | −20.5598 | + | 20.0639i | −1.15841 | + | 1.13047i | ||||
\(316\) | −3.82533 | −0.215192 | ||||||||
\(317\) | 6.72038i | 0.377454i | 0.982030 | + | 0.188727i | \(0.0604362\pi\) | ||||
−0.982030 | + | 0.188727i | \(0.939564\pi\) | |||||||
\(318\) | −1.12484 | − | 15.1200i | −0.0630777 | − | 0.847887i | ||||
\(319\) | −11.6744 | −0.653642 | ||||||||
\(320\) | 1.80966 | + | 3.13442i | 0.101163 | + | 0.175219i | ||||
\(321\) | 2.57347 | + | 3.77899i | 0.143637 | + | 0.210923i | ||||
\(322\) | 0.808390 | + | 7.97043i | 0.0450498 | + | 0.444175i | ||||
\(323\) | − | 6.25494i | − | 0.348034i | ||||||
\(324\) | 2.02173 | − | 8.76998i | 0.112318 | − | 0.487221i | ||||
\(325\) | −23.9100 | + | 13.8045i | −1.32629 | + | 0.765734i | ||||
\(326\) | −2.48873 | − | 1.43687i | −0.137838 | − | 0.0795807i | ||||
\(327\) | −1.16103 | − | 15.6066i | −0.0642053 | − | 0.863045i | ||||
\(328\) | 4.93712 | + | 2.85045i | 0.272607 | + | 0.157390i | ||||
\(329\) | 5.38169 | + | 2.41961i | 0.296702 | + | 0.133397i | ||||
\(330\) | 11.3145 | + | 5.45636i | 0.622844 | + | 0.300363i | ||||
\(331\) | −18.7745 | −1.03194 | −0.515970 | − | 0.856607i | \(-0.672568\pi\) | ||||
−0.515970 | + | 0.856607i | \(0.672568\pi\) | |||||||
\(332\) | 4.00481 | + | 6.93654i | 0.219793 | + | 0.380692i | ||||
\(333\) | 21.7672 | − | 3.25672i | 1.19284 | − | 0.178467i | ||||
\(334\) | 1.26529 | + | 0.730517i | 0.0692338 | + | 0.0399721i | ||||
\(335\) | 15.0499 | + | 26.0671i | 0.822262 | + | 1.42420i | ||||
\(336\) | 2.94844 | + | 3.50809i | 0.160850 | + | 0.191382i | ||||
\(337\) | 2.42287 | − | 4.19654i | 0.131982 | − | 0.228600i | −0.792458 | − | 0.609926i | \(-0.791199\pi\) |
0.924441 | + | 0.381326i | \(0.124532\pi\) | |||||||
\(338\) | 1.19552 | − | 0.690233i | 0.0650276 | − | 0.0375437i | ||||
\(339\) | 1.64822 | + | 2.42031i | 0.0895188 | + | 0.131453i | ||||
\(340\) | 11.1732 | − | 19.3525i | 0.605949 | − | 1.04954i | ||||
\(341\) | −0.911413 | + | 1.57861i | −0.0493558 | + | 0.0854868i | ||||
\(342\) | −3.00578 | + | 0.449713i | −0.162534 | + | 0.0243177i | ||||
\(343\) | −5.53030 | − | 17.6753i | −0.298608 | − | 0.954376i | ||||
\(344\) | −4.15605 | + | 2.39949i | −0.224079 | + | 0.129372i | ||||
\(345\) | −10.6844 | − | 15.6895i | −0.575230 | − | 0.844693i | ||||
\(346\) | − | 3.07081i | − | 0.165088i | ||||||
\(347\) | − | 17.4712i | − | 0.937902i | −0.883224 | − | 0.468951i | \(-0.844632\pi\) | ||
0.883224 | − | 0.468951i | \(-0.155368\pi\) | |||||||
\(348\) | 10.0634 | − | 0.748656i | 0.539454 | − | 0.0401322i | ||||
\(349\) | 20.6338 | − | 11.9129i | 1.10450 | − | 0.637683i | 0.167101 | − | 0.985940i | \(-0.446560\pi\) |
0.937399 | + | 0.348257i | \(0.113226\pi\) | |||||||
\(350\) | 12.5325 | + | 17.3823i | 0.669890 | + | 0.929122i | ||||
\(351\) | 5.24835 | − | 16.9169i | 0.280136 | − | 0.902958i | ||||
\(352\) | 1.00190 | − | 1.73534i | 0.0534013 | − | 0.0924938i | ||||
\(353\) | 5.02061 | − | 8.69596i | 0.267220 | − | 0.462839i | −0.700923 | − | 0.713237i | \(-0.747228\pi\) |
0.968143 | + | 0.250398i | \(0.0805615\pi\) | |||||||
\(354\) | 6.76087 | − | 14.0196i | 0.359336 | − | 0.745134i | ||||
\(355\) | 1.46154 | − | 0.843820i | 0.0775705 | − | 0.0447853i | ||||
\(356\) | 2.39324 | − | 4.14521i | 0.126841 | − | 0.219696i | ||||
\(357\) | 9.65567 | − | 26.5951i | 0.511032 | − | 1.40756i | ||||
\(358\) | 9.65966 | + | 16.7310i | 0.510529 | + | 0.884262i | ||||
\(359\) | −10.5353 | − | 6.08254i | −0.556030 | − | 0.321024i | 0.195521 | − | 0.980700i | \(-0.437360\pi\) |
−0.751550 | + | 0.659676i | \(0.770694\pi\) | |||||||
\(360\) | −10.1031 | − | 3.97782i | −0.532478 | − | 0.209650i | ||||
\(361\) | −8.98683 | − | 15.5657i | −0.472991 | − | 0.819245i | ||||
\(362\) | 7.89318 | 0.414856 | ||||||||
\(363\) | 0.897541 | + | 12.0647i | 0.0471087 | + | 0.633233i | ||||
\(364\) | 5.27445 | + | 7.31553i | 0.276456 | + | 0.383438i | ||||
\(365\) | 13.2113 | + | 7.62756i | 0.691512 | + | 0.399245i | ||||
\(366\) | −22.9525 | − | 11.0687i | −1.19975 | − | 0.578570i | ||||
\(367\) | 3.14420 | + | 1.81531i | 0.164126 | + | 0.0947582i | 0.579813 | − | 0.814749i | \(-0.303126\pi\) |
−0.415687 | + | 0.909508i | \(0.636459\pi\) | |||||||
\(368\) | −2.62232 | + | 1.51400i | −0.136698 | + | 0.0789225i | ||||
\(369\) | −16.9144 | + | 2.53067i | −0.880529 | + | 0.131741i | ||||
\(370\) | − | 26.5531i | − | 1.38043i | ||||||
\(371\) | −23.0418 | + | 2.33698i | −1.19627 | + | 0.121330i | ||||
\(372\) | 0.684408 | − | 1.41922i | 0.0354849 | − | 0.0735830i | ||||
\(373\) | −2.74616 | − | 4.75648i | −0.142191 | − | 0.246281i | 0.786131 | − | 0.618060i | \(-0.212081\pi\) |
−0.928321 | + | 0.371779i | \(0.878748\pi\) | |||||||
\(374\) | −12.3718 | −0.639730 | ||||||||
\(375\) | −17.5012 | − | 8.43983i | −0.903757 | − | 0.435831i | ||||
\(376\) | 2.23022i | 0.115015i | ||||||||
\(377\) | 19.8599 | 1.02284 | ||||||||
\(378\) | −13.4744 | − | 2.72787i | −0.693047 | − | 0.140307i | ||||
\(379\) | −15.5960 | −0.801112 | −0.400556 | − | 0.916272i | \(-0.631183\pi\) | ||||
−0.400556 | + | 0.916272i | \(0.631183\pi\) | |||||||
\(380\) | 3.66666i | 0.188096i | ||||||||
\(381\) | −27.9716 | − | 13.4891i | −1.43303 | − | 0.691067i | ||||
\(382\) | 13.3042 | 0.680703 | ||||||||
\(383\) | 4.71534 | + | 8.16720i | 0.240942 | + | 0.417324i | 0.960983 | − | 0.276607i | \(-0.0892102\pi\) |
−0.720041 | + | 0.693932i | \(0.755877\pi\) | |||||||
\(384\) | −0.752355 | + | 1.56012i | −0.0383935 | + | 0.0796143i | ||||
\(385\) | 7.86823 | − | 17.5005i | 0.401002 | − | 0.891910i | ||||
\(386\) | 6.53573i | 0.332660i | ||||||||
\(387\) | 5.27434 | − | 13.3960i | 0.268110 | − | 0.680959i | ||||
\(388\) | 10.1835 | − | 5.87944i | 0.516989 | − | 0.298483i | ||||
\(389\) | 5.56142 | + | 3.21089i | 0.281975 | + | 0.162798i | 0.634317 | − | 0.773073i | \(-0.281281\pi\) |
−0.352342 | + | 0.935871i | \(0.614615\pi\) | |||||||
\(390\) | −19.2476 | − | 9.28205i | −0.974643 | − | 0.470015i | ||||
\(391\) | 16.1907 | + | 9.34769i | 0.818798 | + | 0.472733i | ||||
\(392\) | 5.23599 | − | 4.64590i | 0.264457 | − | 0.234653i | ||||
\(393\) | −2.22706 | − | 29.9360i | −0.112340 | − | 1.51007i | ||||
\(394\) | 4.44250 | 0.223810 | ||||||||
\(395\) | −6.92255 | − | 11.9902i | −0.348311 | − | 0.603293i | ||||
\(396\) | 0.889499 | + | 5.94521i | 0.0446990 | + | 0.298758i | ||||
\(397\) | 5.99750 | + | 3.46266i | 0.301006 | + | 0.173786i | 0.642895 | − | 0.765955i | \(-0.277733\pi\) |
−0.341889 | + | 0.939740i | \(0.611067\pi\) | |||||||
\(398\) | 5.75542 | + | 9.96868i | 0.288493 | + | 0.499685i | ||||
\(399\) | 0.809832 | + | 4.57134i | 0.0405423 | + | 0.228853i | ||||
\(400\) | −4.04972 | + | 7.01433i | −0.202486 | + | 0.350716i | ||||
\(401\) | −9.16848 | + | 5.29343i | −0.457852 | + | 0.264341i | −0.711141 | − | 0.703050i | \(-0.751821\pi\) |
0.253289 | + | 0.967391i | \(0.418488\pi\) | |||||||
\(402\) | −6.25690 | + | 12.9746i | −0.312066 | + | 0.647113i | ||||
\(403\) | 1.55045 | − | 2.68545i | 0.0772332 | − | 0.133772i | ||||
\(404\) | 6.44610 | − | 11.1650i | 0.320705 | − | 0.555478i | ||||
\(405\) | 31.1474 | − | 9.53372i | 1.54773 | − | 0.473735i | ||||
\(406\) | −1.55542 | − | 15.3359i | −0.0771943 | − | 0.761107i | ||||
\(407\) | −12.7313 | + | 7.35042i | −0.631067 | + | 0.364347i | ||||
\(408\) | 10.6645 | − | 0.793376i | 0.527973 | − | 0.0392780i | ||||
\(409\) | − | 8.92343i | − | 0.441235i | −0.975360 | − | 0.220618i | \(-0.929193\pi\) | ||
0.975360 | − | 0.220618i | \(-0.0708073\pi\) | |||||||
\(410\) | 20.6333i | 1.01901i | ||||||||
\(411\) | −0.000628945 | 0 | 0.000923569i | −3.10236e−5 | 0 | 4.55563e-5i | ||||
\(412\) | −9.31740 | + | 5.37940i | −0.459035 | + | 0.265024i | ||||
\(413\) | −21.6846 | − | 9.74937i | −1.06703 | − | 0.479735i | ||||
\(414\) | 3.32793 | − | 8.45243i | 0.163559 | − | 0.415414i | ||||
\(415\) | −14.4947 | + | 25.1055i | −0.711516 | + | 1.23238i | ||||
\(416\) | −1.70437 | + | 2.95206i | −0.0835637 | + | 0.144737i | ||||
\(417\) | 9.83082 | + | 14.4360i | 0.481417 | + | 0.706933i | ||||
\(418\) | 1.75804 | − | 1.01500i | 0.0859883 | − | 0.0496454i | ||||
\(419\) | 17.1924 | − | 29.7781i | 0.839903 | − | 1.45475i | −0.0500724 | − | 0.998746i | \(-0.515945\pi\) |
0.889975 | − | 0.456009i | \(-0.150721\pi\) | |||||||
\(420\) | −5.66017 | + | 15.5901i | −0.276188 | + | 0.760718i | ||||
\(421\) | −17.7840 | − | 30.8028i | −0.866739 | − | 1.50124i | −0.865310 | − | 0.501237i | \(-0.832879\pi\) |
−0.00142877 | − | 0.999999i | \(-0.500455\pi\) | |||||||
\(422\) | 19.5731 | + | 11.3005i | 0.952803 | + | 0.550101i | ||||
\(423\) | −4.16587 | − | 5.23549i | −0.202552 | − | 0.254558i | ||||
\(424\) | −4.37683 | − | 7.58088i | −0.212557 | − | 0.368160i | ||||
\(425\) | 50.0075 | 2.42572 | ||||||||
\(426\) | 0.727462 | + | 0.350814i | 0.0352457 | + | 0.0169970i | ||||
\(427\) | −15.9614 | + | 35.5014i | −0.772426 | + | 1.71803i | ||||
\(428\) | 2.28602 | + | 1.31983i | 0.110499 | + | 0.0637965i | ||||
\(429\) | 0.877703 | + | 11.7980i | 0.0423759 | + | 0.569615i | ||||
\(430\) | −15.0420 | − | 8.68453i | −0.725392 | − | 0.418805i | ||||
\(431\) | −26.7338 | + | 15.4348i | −1.28772 | + | 0.743466i | −0.978247 | − | 0.207442i | \(-0.933486\pi\) |
−0.309474 | + | 0.950908i | \(0.600153\pi\) | |||||||
\(432\) | −1.14800 | − | 5.06775i | −0.0552334 | − | 0.243822i | ||||
\(433\) | 23.2463i | 1.11715i | 0.829455 | + | 0.558574i | \(0.188651\pi\) | ||||
−0.829455 | + | 0.558574i | \(0.811349\pi\) | |||||||
\(434\) | −2.19515 | − | 0.986937i | −0.105370 | − | 0.0473745i | ||||
\(435\) | 20.5579 | + | 30.1881i | 0.985676 | + | 1.44741i | ||||
\(436\) | −4.51768 | − | 7.82484i | −0.216357 | − | 0.374742i | ||||
\(437\) | −3.06760 | −0.146743 | ||||||||
\(438\) | 0.541613 | + | 7.28033i | 0.0258793 | + | 0.347868i | ||||
\(439\) | 22.2727i | 1.06302i | 0.847052 | + | 0.531509i | \(0.178375\pi\) | ||||
−0.847052 | + | 0.531509i | \(0.821625\pi\) | |||||||
\(440\) | 7.25237 | 0.345743 | ||||||||
\(441\) | −3.61342 | + | 20.6868i | −0.172068 | + | 0.985085i | ||||
\(442\) | 21.0462 | 1.00107 | ||||||||
\(443\) | − | 17.9852i | − | 0.854501i | −0.904133 | − | 0.427251i | \(-0.859482\pi\) | ||
0.904133 | − | 0.427251i | \(-0.140518\pi\) | |||||||
\(444\) | 10.5031 | − | 7.15251i | 0.498453 | − | 0.339443i | ||||
\(445\) | 17.3238 | 0.821225 | ||||||||
\(446\) | 9.41045 | + | 16.2994i | 0.445598 | + | 0.771798i | ||||
\(447\) | 19.4276 | − | 1.44530i | 0.918894 | − | 0.0683601i | ||||
\(448\) | 2.41308 | + | 1.08492i | 0.114007 | + | 0.0512576i | ||||
\(449\) | 9.44363i | 0.445673i | 0.974856 | + | 0.222836i | \(0.0715315\pi\) | ||||
−0.974856 | + | 0.222836i | \(0.928468\pi\) | |||||||
\(450\) | −3.59540 | − | 24.0309i | −0.169489 | − | 1.13283i | ||||
\(451\) | 9.89297 | − | 5.71171i | 0.465842 | − | 0.268954i | ||||
\(452\) | 1.46411 | + | 0.845306i | 0.0688661 | + | 0.0397599i | ||||
\(453\) | −6.76266 | + | 4.60533i | −0.317737 | + | 0.216377i | ||||
\(454\) | −12.6555 | − | 7.30665i | −0.593952 | − | 0.342918i | ||||
\(455\) | −13.3850 | + | 29.7709i | −0.627498 | + | 1.39568i | ||||
\(456\) | −1.45034 | + | 0.987674i | −0.0679185 | + | 0.0462521i | ||||
\(457\) | −1.84450 | −0.0862821 | −0.0431411 | − | 0.999069i | \(-0.513736\pi\) | ||||
−0.0431411 | + | 0.999069i | \(0.513736\pi\) | |||||||
\(458\) | 1.18959 | + | 2.06044i | 0.0555861 | + | 0.0962779i | ||||
\(459\) | −23.5533 | + | 21.7830i | −1.09937 | + | 1.01674i | ||||
\(460\) | −9.49100 | − | 5.47963i | −0.442520 | − | 0.255489i | ||||
\(461\) | −18.1869 | − | 31.5007i | −0.847050 | − | 1.46713i | −0.883829 | − | 0.467810i | \(-0.845043\pi\) |
0.0367790 | − | 0.999323i | \(-0.488290\pi\) | |||||||
\(462\) | 9.04176 | − | 1.60179i | 0.420661 | − | 0.0745218i | ||||
\(463\) | −15.9830 | + | 27.6834i | −0.742794 | + | 1.28656i | 0.208425 | + | 0.978038i | \(0.433166\pi\) |
−0.951219 | + | 0.308518i | \(0.900167\pi\) | |||||||
\(464\) | 5.04560 | − | 2.91308i | 0.234236 | − | 0.135236i | ||||
\(465\) | 5.68697 | − | 0.423076i | 0.263727 | − | 0.0196197i | ||||
\(466\) | −5.21619 | + | 9.03470i | −0.241635 | + | 0.418525i | ||||
\(467\) | 12.2206 | − | 21.1666i | 0.565500 | − | 0.979475i | −0.431503 | − | 0.902112i | \(-0.642017\pi\) |
0.997003 | − | 0.0773632i | \(-0.0246501\pi\) | |||||||
\(468\) | −1.51317 | − | 10.1137i | −0.0699461 | − | 0.467504i | ||||
\(469\) | 20.0682 | + | 9.02263i | 0.926662 | + | 0.416627i | ||||
\(470\) | −6.99044 | + | 4.03593i | −0.322445 | + | 0.186164i | ||||
\(471\) | −2.30952 | + | 4.78911i | −0.106417 | + | 0.220671i | ||||
\(472\) | − | 8.98627i | − | 0.413626i | ||||||
\(473\) | 9.61619i | 0.442153i | ||||||||
\(474\) | 2.87801 | − | 5.96796i | 0.132191 | − | 0.274118i | ||||
\(475\) | −7.10607 | + | 4.10269i | −0.326049 | + | 0.188245i | ||||
\(476\) | −1.64833 | − | 16.2520i | −0.0755513 | − | 0.744908i | ||||
\(477\) | 24.4352 | + | 9.62073i | 1.11881 | + | 0.440503i | ||||
\(478\) | −11.8917 | + | 20.5971i | −0.543916 | + | 0.942090i | ||||
\(479\) | 5.48032 | − | 9.49220i | 0.250402 | − | 0.433710i | −0.713234 | − | 0.700926i | \(-0.752770\pi\) |
0.963637 | + | 0.267216i | \(0.0861037\pi\) | |||||||
\(480\) | −6.25156 | + | 0.465079i | −0.285344 | + | 0.0212278i | ||||
\(481\) | 21.6578 | − | 12.5041i | 0.987509 | − | 0.570139i | ||||
\(482\) | −14.3243 | + | 24.8105i | −0.652456 | + | 1.13009i | ||||
\(483\) | −13.0430 | − | 4.73541i | −0.593477 | − | 0.215469i | ||||
\(484\) | 3.49240 | + | 6.04902i | 0.158746 | + | 0.274955i | ||||
\(485\) | 36.8573 | + | 21.2796i | 1.67360 | + | 0.966255i | ||||
\(486\) | 12.1611 | + | 9.75228i | 0.551640 | + | 0.442372i | ||||
\(487\) | −16.8087 | − | 29.1136i | −0.761677 | − | 1.31926i | −0.941986 | − | 0.335653i | \(-0.891043\pi\) |
0.180309 | − | 0.983610i | \(-0.442290\pi\) | |||||||
\(488\) | −14.7121 | −0.665984 | ||||||||
\(489\) | 4.11408 | − | 2.80167i | 0.186045 | − | 0.126696i | ||||
\(490\) | 24.0376 | + | 8.00430i | 1.08591 | + | 0.361597i | ||||
\(491\) | −19.6893 | − | 11.3676i | −0.888568 | − | 0.513015i | −0.0150939 | − | 0.999886i | \(-0.504805\pi\) |
−0.873474 | + | 0.486871i | \(0.838138\pi\) | |||||||
\(492\) | −8.16149 | + | 5.55793i | −0.367949 | + | 0.250571i | ||||
\(493\) | −31.1525 | − | 17.9859i | −1.40304 | − | 0.810043i | ||||
\(494\) | −2.99067 | + | 1.72667i | −0.134557 | + | 0.0776863i | ||||
\(495\) | −17.0251 | + | 13.5469i | −0.765221 | + | 0.608886i | ||||
\(496\) | − | 0.909687i | − | 0.0408462i | ||||||
\(497\) | 0.505884 | − | 1.12519i | 0.0226920 | − | 0.0504716i | ||||
\(498\) | −13.8348 | + | 1.02923i | −0.619954 | + | 0.0461209i | ||||
\(499\) | −9.76175 | − | 16.9079i | −0.436996 | − | 0.756899i | 0.560460 | − | 0.828181i | \(-0.310624\pi\) |
−0.997456 | + | 0.0712820i | \(0.977291\pi\) | |||||||
\(500\) | −11.2179 | −0.501679 | ||||||||
\(501\) | −2.09164 | + | 1.42440i | −0.0934477 | + | 0.0636373i | ||||
\(502\) | − | 11.0301i | − | 0.492299i | ||||||
\(503\) | −13.6867 | −0.610262 | −0.305131 | − | 0.952310i | \(-0.598700\pi\) | ||||
−0.305131 | + | 0.952310i | \(0.598700\pi\) | |||||||
\(504\) | −7.69130 | + | 1.96057i | −0.342598 | + | 0.0873309i | ||||
\(505\) | 46.6609 | 2.07638 | ||||||||
\(506\) | 6.06748i | 0.269732i | ||||||||
\(507\) | 0.177389 | + | 2.38445i | 0.00787810 | + | 0.105897i | ||||
\(508\) | −17.9292 | −0.795478 | ||||||||
\(509\) | −1.14583 | − | 1.98464i | −0.0507881 | − | 0.0879675i | 0.839514 | − | 0.543338i | \(-0.182840\pi\) |
−0.890302 | + | 0.455371i | \(0.849507\pi\) | |||||||
\(510\) | 21.7859 | + | 31.9914i | 0.964697 | + | 1.41660i | ||||
\(511\) | 11.0947 | − | 1.12527i | 0.490801 | − | 0.0497788i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 1.55981 | − | 5.02772i | 0.0688674 | − | 0.221979i | ||||
\(514\) | 13.0751 | − | 7.54890i | 0.576717 | − | 0.332968i | ||||
\(515\) | −33.7226 | − | 19.4698i | −1.48600 | − | 0.857940i | ||||
\(516\) | −0.616665 | − | 8.28919i | −0.0271472 | − | 0.364911i | ||||
\(517\) | 3.87018 | + | 2.23445i | 0.170210 | + | 0.0982710i | ||||
\(518\) | −11.3520 | − | 15.7449i | −0.498777 | − | 0.691791i | ||||
\(519\) | 4.79082 | + | 2.31034i | 0.210294 | + | 0.101413i | ||||
\(520\) | −12.3373 | −0.541027 | ||||||||
\(521\) | 8.54102 | + | 14.7935i | 0.374189 | + | 0.648114i | 0.990205 | − | 0.139619i | \(-0.0445879\pi\) |
−0.616017 | + | 0.787733i | \(0.711255\pi\) | |||||||
\(522\) | −6.40326 | + | 16.2633i | −0.280263 | + | 0.711826i | ||||
\(523\) | 35.7462 | + | 20.6381i | 1.56307 | + | 0.902440i | 0.996944 | + | 0.0781229i | \(0.0248927\pi\) |
0.566128 | + | 0.824317i | \(0.308441\pi\) | |||||||
\(524\) | −8.66567 | − | 15.0094i | −0.378562 | − | 0.655688i | ||||
\(525\) | −36.5473 | + | 6.47451i | −1.59505 | + | 0.282571i | ||||
\(526\) | −9.81926 | + | 17.0075i | −0.428140 | + | 0.741561i | ||||
\(527\) | −4.86410 | + | 2.80829i | −0.211883 | + | 0.122331i | ||||
\(528\) | 1.95354 | + | 2.86867i | 0.0850171 | + | 0.124843i | ||||
\(529\) | −6.91563 | + | 11.9782i | −0.300679 | + | 0.520792i | ||||
\(530\) | 15.8411 | − | 27.4376i | 0.688094 | − | 1.19181i | ||||
\(531\) | 16.7857 | + | 21.0955i | 0.728435 | + | 0.915465i | ||||
\(532\) | 1.56757 | + | 2.17418i | 0.0679627 | + | 0.0942626i | ||||
\(533\) | −16.8294 | + | 9.71644i | −0.728961 | + | 0.420866i | ||||
\(534\) | 4.66644 | + | 6.85240i | 0.201937 | + | 0.296532i | ||||
\(535\) | 9.55378i | 0.413046i | ||||||||
\(536\) | 8.31641i | 0.359214i | ||||||||
\(537\) | −33.3698 | + | 2.48251i | −1.44001 | + | 0.107128i | ||||
\(538\) | −0.425223 | + | 0.245503i | −0.0183327 | + | 0.0105844i | ||||
\(539\) | −2.81628 | − | 13.7409i | −0.121306 | − | 0.591864i | ||||
\(540\) | 13.8070 | − | 12.7692i | 0.594157 | − | 0.549500i | ||||
\(541\) | 22.7197 | − | 39.3516i | 0.976795 | − | 1.69186i | 0.302915 | − | 0.953018i | \(-0.402040\pi\) |
0.673880 | − | 0.738841i | \(-0.264627\pi\) | |||||||
\(542\) | 7.03945 | − | 12.1927i | 0.302370 | − | 0.523721i | ||||
\(543\) | −5.93847 | + | 12.3143i | −0.254844 | + | 0.528456i | ||||
\(544\) | 5.34700 | − | 3.08709i | 0.229251 | − | 0.132358i | ||||
\(545\) | 16.3509 | − | 28.3206i | 0.700395 | − | 1.21312i | ||||
\(546\) | −15.3813 | + | 2.72487i | −0.658260 | + | 0.116614i | ||||
\(547\) | 15.1095 | + | 26.1705i | 0.646037 | + | 1.11897i | 0.984061 | + | 0.177832i | \(0.0569082\pi\) |
−0.338024 | + | 0.941138i | \(0.609758\pi\) | |||||||
\(548\) | −0.000558693 | 0 | 0.000322562i | −2.38662e−5 | 0 | 1.37791e-5i | ||||
\(549\) | 34.5369 | − | 27.4810i | 1.47400 | − | 1.17286i | ||||
\(550\) | 8.11481 | + | 14.0553i | 0.346017 | + | 0.599319i | ||||
\(551\) | 5.90237 | 0.251449 | ||||||||
\(552\) | −0.389094 | − | 5.23019i | −0.0165610 | − | 0.222612i | ||||
\(553\) | −9.23083 | − | 4.15018i | −0.392535 | − | 0.176484i | ||||
\(554\) | −26.6043 | − | 15.3600i | −1.13031 | − | 0.652585i | ||||
\(555\) | 41.4259 | + | 19.9774i | 1.75843 | + | 0.847992i | ||||
\(556\) | 8.73273 | + | 5.04185i | 0.370350 | + | 0.213822i | ||||
\(557\) | 22.0154 | − | 12.7106i | 0.932822 | − | 0.538565i | 0.0451189 | − | 0.998982i | \(-0.485633\pi\) |
0.887703 | + | 0.460417i | \(0.152300\pi\) | |||||||
\(558\) | 1.69923 | + | 2.13551i | 0.0719340 | + | 0.0904034i | ||||
\(559\) | − | 16.3585i | − | 0.691892i | ||||||
\(560\) | 0.966257 | + | 9.52693i | 0.0408318 | + | 0.402586i | ||||
\(561\) | 9.30799 | − | 19.3014i | 0.392983 | − | 0.814907i | ||||
\(562\) | 3.96227 | + | 6.86286i | 0.167138 | + | 0.289492i | ||||
\(563\) | 2.88692 | 0.121669 | 0.0608346 | − | 0.998148i | \(-0.480624\pi\) | ||||
0.0608346 | + | 0.998148i | \(0.480624\pi\) | |||||||
\(564\) | −3.47940 | − | 1.67792i | −0.146509 | − | 0.0706530i | ||||
\(565\) | 6.11886i | 0.257422i | ||||||||
\(566\) | −11.5159 | −0.484048 | ||||||||
\(567\) | 14.3933 | − | 18.9693i | 0.604462 | − | 0.796634i | ||||
\(568\) | 0.466287 | 0.0195650 | ||||||||
\(569\) | 44.5651i | 1.86827i | 0.356922 | + | 0.934134i | \(0.383826\pi\) | ||||
−0.356922 | + | 0.934134i | \(0.616174\pi\) | |||||||
\(570\) | −5.72041 | − | 2.75863i | −0.239602 | − | 0.115546i | ||||
\(571\) | −6.52939 | −0.273247 | −0.136623 | − | 0.990623i | \(-0.543625\pi\) | ||||
−0.136623 | + | 0.990623i | \(0.543625\pi\) | |||||||
\(572\) | 3.41521 | + | 5.91532i | 0.142797 | + | 0.247332i | ||||
\(573\) | −10.0095 | + | 20.7561i | −0.418153 | + | 0.867100i | ||||
\(574\) | 8.82115 | + | 12.2347i | 0.368188 | + | 0.510668i | ||||
\(575\) | − | 24.5251i | − | 1.02277i | ||||||
\(576\) | −1.86792 | − | 2.34752i | −0.0778301 | − | 0.0978135i | ||||
\(577\) | 1.17720 | − | 0.679658i | 0.0490076 | − | 0.0282945i | −0.475296 | − | 0.879826i | \(-0.657659\pi\) |
0.524304 | + | 0.851531i | \(0.324326\pi\) | |||||||
\(578\) | −18.2909 | − | 10.5603i | −0.760802 | − | 0.439249i | ||||
\(579\) | −10.1965 | − | 4.91719i | −0.423752 | − | 0.204352i | ||||
\(580\) | 18.2616 | + | 10.5434i | 0.758273 | + | 0.437789i | ||||
\(581\) | 2.13835 | + | 21.0833i | 0.0887136 | + | 0.874683i | ||||
\(582\) | 1.51101 | + | 20.3109i | 0.0626332 | + | 0.841912i | ||||
\(583\) | −17.5405 | −0.726454 | ||||||||
\(584\) | 2.10746 | + | 3.65022i | 0.0872072 | + | 0.151047i | ||||
\(585\) | 28.9621 | − | 23.0452i | 1.19744 | − | 0.952800i | ||||
\(586\) | −4.34636 | − | 2.50937i | −0.179547 | − | 0.103661i | ||||
\(587\) | 22.2025 | + | 38.4559i | 0.916397 | + | 1.58725i | 0.804843 | + | 0.593488i | \(0.202250\pi\) |
0.111555 | + | 0.993758i | \(0.464417\pi\) | |||||||
\(588\) | 3.30882 | + | 11.6641i | 0.136453 | + | 0.481020i | ||||
\(589\) | 0.460793 | − | 0.798117i | 0.0189866 | − | 0.0328858i | ||||
\(590\) | 28.1667 | − | 16.2621i | 1.15961 | − | 0.669499i | ||||
\(591\) | −3.34234 | + | 6.93082i | −0.137485 | + | 0.285096i | ||||
\(592\) | 3.66825 | − | 6.35359i | 0.150764 | − | 0.261131i | ||||
\(593\) | 7.17564 | − | 12.4286i | 0.294668 | − | 0.510380i | −0.680240 | − | 0.732990i | \(-0.738124\pi\) |
0.974908 | + | 0.222610i | \(0.0714576\pi\) | |||||||
\(594\) | −9.94444 | − | 3.08519i | −0.408025 | − | 0.126587i | ||||
\(595\) | 47.9576 | − | 34.5771i | 1.96607 | − | 1.41752i | ||||
\(596\) | 9.74064 | − | 5.62376i | 0.398992 | − | 0.230358i | ||||
\(597\) | −19.8824 | + | 1.47913i | −0.813733 | + | 0.0605368i | ||||
\(598\) | − | 10.3217i | − | 0.422084i | ||||||
\(599\) | − | 3.50277i | − | 0.143119i | −0.997436 | − | 0.0715597i | \(-0.977202\pi\) | ||
0.997436 | − | 0.0715597i | \(-0.0227977\pi\) | |||||||
\(600\) | −7.89633 | − | 11.5953i | −0.322366 | − | 0.473376i | ||||
\(601\) | 15.1846 | − | 8.76685i | 0.619394 | − | 0.357607i | −0.157239 | − | 0.987561i | \(-0.550259\pi\) |
0.776633 | + | 0.629953i | \(0.216926\pi\) | |||||||
\(602\) | −12.6321 | + | 1.28120i | −0.514847 | + | 0.0522177i | ||||
\(603\) | −15.5344 | − | 19.5230i | −0.632610 | − | 0.795037i | ||||
\(604\) | −2.36189 | + | 4.09092i | −0.0961041 | + | 0.166457i | ||||
\(605\) | −12.6401 | + | 21.8933i | −0.513894 | + | 0.890090i | ||||
\(606\) | 12.5689 | + | 18.4567i | 0.510576 | + | 0.749752i | ||||
\(607\) | 0.0755923 | − | 0.0436432i | 0.00306820 | − | 0.00177142i | −0.498465 | − | 0.866910i | \(-0.666103\pi\) |
0.501533 | + | 0.865138i | \(0.332769\pi\) | |||||||
\(608\) | −0.506540 | + | 0.877353i | −0.0205429 | + | 0.0355814i | ||||
\(609\) | 25.0960 | + | 9.11140i | 1.01694 | + | 0.369213i | ||||
\(610\) | −26.6238 | − | 46.1138i | −1.07797 | − | 1.86709i | ||||
\(611\) | −6.58373 | − | 3.80112i | −0.266349 | − | 0.153777i | ||||
\(612\) | −6.78575 | + | 17.2348i | −0.274298 | + | 0.696675i | ||||
\(613\) | 12.5352 | + | 21.7116i | 0.506292 | + | 0.876924i | 0.999973 | + | 0.00728071i | \(0.00231754\pi\) |
−0.493681 | + | 0.869643i | \(0.664349\pi\) | |||||||
\(614\) | −17.5309 | −0.707490 | ||||||||
\(615\) | −32.1904 | − | 15.5236i | −1.29804 | − | 0.625972i | ||||
\(616\) | 4.30036 | − | 3.10053i | 0.173266 | − | 0.124924i | ||||
\(617\) | −10.6365 | − | 6.14101i | −0.428211 | − | 0.247228i | 0.270373 | − | 0.962756i | \(-0.412853\pi\) |
−0.698584 | + | 0.715528i | \(0.746186\pi\) | |||||||
\(618\) | −1.38250 | − | 18.5834i | −0.0556121 | − | 0.747536i | ||||
\(619\) | −17.5869 | − | 10.1538i | −0.706875 | − | 0.408115i | 0.103028 | − | 0.994678i | \(-0.467147\pi\) |
−0.809903 | + | 0.586564i | \(0.800480\pi\) | |||||||
\(620\) | 2.85134 | − | 1.64622i | 0.114513 | − | 0.0661139i | ||||
\(621\) | 10.6830 | + | 11.5512i | 0.428694 | + | 0.463533i | ||||
\(622\) | 17.2952i | 0.693474i | ||||||||
\(623\) | 10.2723 | − | 7.40625i | 0.411550 | − | 0.296725i | ||||
\(624\) | −3.32326 | − | 4.88001i | −0.133037 | − | 0.195357i | ||||
\(625\) | −0.0518970 | − | 0.0898882i | −0.00207588 | − | 0.00359553i | ||||
\(626\) | −8.99498 | −0.359512 | ||||||||
\(627\) | 0.260854 | + | 3.50638i | 0.0104175 | + | 0.140031i | ||||
\(628\) | 3.06972i | 0.122495i | ||||||||
\(629\) | −45.2969 | −1.80610 | ||||||||
\(630\) | −20.0639 | − | 20.5598i | −0.799364 | − | 0.819122i | ||||
\(631\) | −45.9665 | −1.82990 | −0.914950 | − | 0.403568i | \(-0.867770\pi\) | ||||
−0.914950 | + | 0.403568i | \(0.867770\pi\) | |||||||
\(632\) | − | 3.82533i | − | 0.152164i | ||||||
\(633\) | −32.3561 | + | 22.0343i | −1.28604 | + | 0.875784i | ||||
\(634\) | −6.72038 | −0.266901 | ||||||||
\(635\) | −32.4456 | − | 56.1975i | −1.28757 | − | 2.23013i | ||||
\(636\) | 15.1200 | − | 1.12484i | 0.599546 | − | 0.0446026i | ||||
\(637\) | 4.79090 | + | 23.3753i | 0.189822 | + | 0.926163i | ||||
\(638\) | − | 11.6744i | − | 0.462195i | ||||||
\(639\) | −1.09462 | + | 0.870989i | −0.0433025 | + | 0.0344558i | ||||
\(640\) | −3.13442 | + | 1.80966i | −0.123899 | + | 0.0715330i | ||||
\(641\) | −27.4104 | − | 15.8254i | −1.08265 | − | 0.625067i | −0.151038 | − | 0.988528i | \(-0.548262\pi\) |
−0.931609 | + | 0.363461i | \(0.881595\pi\) | |||||||
\(642\) | −3.77899 | + | 2.57347i | −0.149145 | + | 0.101567i | ||||
\(643\) | −10.0106 | − | 5.77960i | −0.394778 | − | 0.227925i | 0.289450 | − | 0.957193i | \(-0.406528\pi\) |
−0.684228 | + | 0.729268i | \(0.739861\pi\) | |||||||
\(644\) | −7.97043 | + | 0.808390i | −0.314079 | + | 0.0318550i | ||||
\(645\) | 24.8658 | − | 16.9335i | 0.979091 | − | 0.666755i | ||||
\(646\) | 6.25494 | 0.246097 | ||||||||
\(647\) | −13.0365 | − | 22.5799i | −0.512519 | − | 0.887708i | −0.999895 | − | 0.0145160i | \(-0.995379\pi\) |
0.487376 | − | 0.873192i | \(-0.337954\pi\) | |||||||
\(648\) | 8.76998 | + | 2.02173i | 0.344517 | + | 0.0794210i | ||||
\(649\) | −15.5942 | − | 9.00332i | −0.612126 | − | 0.353411i | ||||
\(650\) | −13.8045 | − | 23.9100i | −0.541456 | − | 0.937829i | ||||
\(651\) | 3.19127 | − | 2.68216i | 0.125076 | − | 0.105122i | ||||
\(652\) | 1.43687 | − | 2.48873i | 0.0562720 | − | 0.0974660i | ||||
\(653\) | 16.3952 | − | 9.46576i | 0.641593 | − | 0.370424i | −0.143635 | − | 0.989631i | \(-0.545879\pi\) |
0.785228 | + | 0.619207i | \(0.212546\pi\) | |||||||
\(654\) | 15.6066 | − | 1.16103i | 0.610265 | − | 0.0454000i | ||||
\(655\) | 31.3638 | − | 54.3237i | 1.22549 | − | 2.12260i | ||||
\(656\) | −2.85045 | + | 4.93712i | −0.111291 | + | 0.192762i | ||||
\(657\) | −11.7656 | − | 4.63242i | −0.459021 | − | 0.180728i | ||||
\(658\) | −2.41961 | + | 5.38169i | −0.0943260 | + | 0.209800i | ||||
\(659\) | 23.3508 | − | 13.4816i | 0.909618 | − | 0.525168i | 0.0293098 | − | 0.999570i | \(-0.490669\pi\) |
0.880308 | + | 0.474402i | \(0.157336\pi\) | |||||||
\(660\) | −5.45636 | + | 11.3145i | −0.212388 | + | 0.440418i | ||||
\(661\) | − | 25.7730i | − | 1.00245i | −0.865316 | − | 0.501227i | \(-0.832882\pi\) | ||
0.865316 | − | 0.501227i | \(-0.167118\pi\) | |||||||
\(662\) | − | 18.7745i | − | 0.729691i | ||||||
\(663\) | −15.8342 | + | 32.8345i | −0.614950 | + | 1.27519i | ||||
\(664\) | −6.93654 | + | 4.00481i | −0.269190 | + | 0.155417i | ||||
\(665\) | −3.97803 | + | 8.84793i | −0.154261 | + | 0.343108i | ||||
\(666\) | 3.25672 | + | 21.7672i | 0.126195 | + | 0.843462i | ||||
\(667\) | −8.82079 | + | 15.2780i | −0.341542 | + | 0.591568i | ||||
\(668\) | −0.730517 | + | 1.26529i | −0.0282646 | + | 0.0489557i | ||||
\(669\) | −32.5089 | + | 2.41847i | −1.25687 | + | 0.0935034i | ||||
\(670\) | −26.0671 | + | 15.0499i | −1.00706 | + | 0.581427i | ||||
\(671\) | −14.7400 | + | 25.5304i | −0.569030 | + | 0.985590i | ||||
\(672\) | −3.50809 | + | 2.94844i | −0.135328 | + | 0.113738i | ||||
\(673\) | −12.9608 | − | 22.4487i | −0.499601 | − | 0.865335i | 0.500398 | − | 0.865795i | \(-0.333187\pi\) |
−1.00000 | 0.000460130i | \(0.999854\pi\) | ||||||||
\(674\) | 4.19654 | + | 2.42287i | 0.161645 | + | 0.0933256i | ||||
\(675\) | 40.1959 | + | 12.4705i | 1.54714 | + | 0.479990i | ||||
\(676\) | 0.690233 | + | 1.19552i | 0.0265474 | + | 0.0459815i | ||||
\(677\) | 13.1076 | 0.503767 | 0.251884 | − | 0.967758i | \(-0.418950\pi\) | ||||
0.251884 | + | 0.967758i | \(0.418950\pi\) | |||||||
\(678\) | −2.42031 | + | 1.64822i | −0.0929514 | + | 0.0632993i | ||||
\(679\) | 30.9523 | − | 3.13930i | 1.18784 | − | 0.120475i | ||||
\(680\) | 19.3525 | + | 11.1732i | 0.742134 | + | 0.428471i | ||||
\(681\) | 20.9207 | − | 14.2468i | 0.801681 | − | 0.545940i | ||||
\(682\) | −1.57861 | − | 0.911413i | −0.0604483 | − | 0.0348998i | ||||
\(683\) | 25.6910 | − | 14.8327i | 0.983038 | − | 0.567557i | 0.0798523 | − | 0.996807i | \(-0.474555\pi\) |
0.903186 | + | 0.429249i | \(0.141222\pi\) | |||||||
\(684\) | −0.449713 | − | 3.00578i | −0.0171952 | − | 0.114929i | ||||
\(685\) | − | 0.00233490i | − | 8.92121e-5i | ||||||
\(686\) | 17.6753 | − | 5.53030i | 0.674846 | − | 0.211148i | ||||
\(687\) | −4.10952 | + | 0.305723i | −0.156788 | + | 0.0116641i | ||||
\(688\) | −2.39949 | − | 4.15605i | −0.0914799 | − | 0.158448i | ||||
\(689\) | 29.8390 | 1.13677 | ||||||||
\(690\) | 15.6895 | − | 10.6844i | 0.597288 | − | 0.406749i | ||||
\(691\) | 47.3159i | 1.79998i | 0.435910 | + | 0.899990i | \(0.356427\pi\) | ||||
−0.435910 | + | 0.899990i | \(0.643573\pi\) | |||||||
\(692\) | 3.07081 | 0.116735 | ||||||||
\(693\) | −4.30364 | + | 15.3113i | −0.163482 | + | 0.581628i | ||||
\(694\) | 17.4712 | 0.663197 | ||||||||
\(695\) | 36.4961i | 1.38437i | ||||||||
\(696\) | 0.748656 | + | 10.0634i | 0.0283777 | + | 0.381452i | ||||
\(697\) | 35.1983 | 1.33323 | ||||||||
\(698\) | 11.9129 | + | 20.6338i | 0.450910 | + | 0.780999i | ||||
\(699\) | −10.1708 | − | 14.9352i | −0.384693 | − | 0.564900i | ||||
\(700\) | −17.3823 | + | 12.5325i | −0.656988 | + | 0.473684i | ||||
\(701\) | 13.7742i | 0.520244i | 0.965576 | + | 0.260122i | \(0.0837627\pi\) | ||||
−0.965576 | + | 0.260122i | \(0.916237\pi\) | |||||||
\(702\) | 16.9169 | + | 5.24835i | 0.638488 | + | 0.198086i | ||||
\(703\) | 6.43670 | − | 3.71623i | 0.242765 | − | 0.140160i | ||||
\(704\) | 1.73534 | + | 1.00190i | 0.0654030 | + | 0.0377604i | ||||
\(705\) | −1.03723 | − | 13.9423i | −0.0390642 | − | 0.525099i | ||||
\(706\) | 8.69596 | + | 5.02061i | 0.327277 | + | 0.188953i | ||||
\(707\) | 27.6680 | − | 19.9485i | 1.04056 | − | 0.750239i | ||||
\(708\) | 14.0196 | + | 6.76087i | 0.526889 | + | 0.254089i | ||||
\(709\) | −43.9383 | −1.65014 | −0.825069 | − | 0.565032i | \(-0.808864\pi\) | ||||
−0.825069 | + | 0.565032i | \(0.808864\pi\) | |||||||
\(710\) | 0.843820 | + | 1.46154i | 0.0316680 | + | 0.0548506i | ||||
\(711\) | 7.14543 | + | 8.98006i | 0.267975 | + | 0.336779i | ||||
\(712\) | 4.14521 | + | 2.39324i | 0.155348 | + | 0.0896903i | ||||
\(713\) | 1.37726 | + | 2.38549i | 0.0515789 | + | 0.0893373i | ||||
\(714\) | 26.5951 | + | 9.65567i | 0.995296 | + | 0.361354i | ||||
\(715\) | −12.3607 | + | 21.4094i | −0.462265 | + | 0.800667i | ||||
\(716\) | −16.7310 | + | 9.65966i | −0.625268 | + | 0.360998i | ||||
\(717\) | −23.1871 | − | 34.0488i | −0.865936 | − | 1.27158i | ||||
\(718\) | 6.08254 | − | 10.5353i | 0.226998 | − | 0.393173i | ||||
\(719\) | −14.7930 | + | 25.6223i | −0.551687 | + | 0.955549i | 0.446466 | + | 0.894800i | \(0.352682\pi\) |
−0.998153 | + | 0.0607489i | \(0.980651\pi\) | |||||||
\(720\) | 3.97782 | − | 10.1031i | 0.148245 | − | 0.376519i | ||||
\(721\) | −28.3198 | + | 2.87230i | −1.05469 | + | 0.106970i | ||||
\(722\) | 15.5657 | − | 8.98683i | 0.579294 | − | 0.334455i | ||||
\(723\) | −27.9303 | − | 41.0140i | −1.03874 | − | 1.52533i | ||||
\(724\) | 7.89318i | 0.293348i | ||||||||
\(725\) | 47.1887i | 1.75254i | ||||||||
\(726\) | −12.0647 | + | 0.897541i | −0.447763 | + | 0.0333109i | ||||
\(727\) | 10.1244 | − | 5.84534i | 0.375494 | − | 0.216792i | −0.300362 | − | 0.953825i | \(-0.597107\pi\) |
0.675856 | + | 0.737034i | \(0.263774\pi\) | |||||||
\(728\) | −7.31553 | + | 5.27445i | −0.271132 | + | 0.195484i | ||||
\(729\) | −24.3642 | + | 11.6356i | −0.902377 | + | 0.430948i | ||||
\(730\) | −7.62756 | + | 13.2113i | −0.282308 | + | 0.488973i | ||||
\(731\) | −14.8149 | + | 25.6602i | −0.547949 | + | 0.949076i | ||||
\(732\) | 11.0687 | − | 22.9525i | 0.409111 | − | 0.848350i | ||||
\(733\) | −28.6423 | + | 16.5366i | −1.05793 | + | 0.610795i | −0.924858 | − | 0.380312i | \(-0.875817\pi\) |
−0.133070 | + | 0.991107i | \(0.542483\pi\) | |||||||
\(734\) | −1.81531 | + | 3.14420i | −0.0670042 | + | 0.116055i | ||||
\(735\) | −30.5724 | + | 31.4793i | −1.12768 | + | 1.16113i | ||||
\(736\) | −1.51400 | − | 2.62232i | −0.0558067 | − | 0.0966600i | ||||
\(737\) | 14.4318 | + | 8.33219i | 0.531601 | + | 0.306920i | ||||
\(738\) | −2.53067 | − | 16.9144i | −0.0931551 | − | 0.622628i | ||||
\(739\) | −21.7528 | − | 37.6770i | −0.800190 | − | 1.38597i | −0.919491 | − | 0.393111i | \(-0.871399\pi\) |
0.119301 | − | 0.992858i | \(-0.461935\pi\) | |||||||
\(740\) | 26.5531 | 0.976111 | ||||||||
\(741\) | −0.443750 | − | 5.96486i | −0.0163016 | − | 0.219125i | ||||
\(742\) | −2.33698 | − | 23.0418i | −0.0857933 | − | 0.845890i | ||||
\(743\) | 18.0206 | + | 10.4042i | 0.661112 | + | 0.381693i | 0.792701 | − | 0.609611i | \(-0.208674\pi\) |
−0.131589 | + | 0.991304i | \(0.542008\pi\) | |||||||
\(744\) | 1.41922 | + | 0.684408i | 0.0520310 | + | 0.0250916i | ||||
\(745\) | 35.2544 | + | 20.3542i | 1.29162 | + | 0.745719i | ||||
\(746\) | 4.75648 | − | 2.74616i | 0.174147 | − | 0.100544i | ||||
\(747\) | 8.80300 | − | 22.3583i | 0.322085 | − | 0.818048i | ||||
\(748\) | − | 12.3718i | − | 0.452358i | ||||||
\(749\) | 4.08443 | + | 5.66501i | 0.149242 | + | 0.206995i | ||||
\(750\) | 8.43983 | − | 17.5012i | 0.308179 | − | 0.639053i | ||||
\(751\) | 19.9492 | + | 34.5531i | 0.727957 | + | 1.26086i | 0.957745 | + | 0.287618i | \(0.0928634\pi\) |
−0.229788 | + | 0.973241i | \(0.573803\pi\) | |||||||
\(752\) | −2.23022 | −0.0813277 | ||||||||
\(753\) | 17.2083 | + | 8.29858i | 0.627105 | + | 0.302417i | ||||
\(754\) | 19.8599i | 0.723254i | ||||||||
\(755\) | −17.0969 | −0.622219 | ||||||||
\(756\) | 2.72787 | − | 13.4744i | 0.0992118 | − | 0.490058i | ||||
\(757\) | 7.45545 | 0.270973 | 0.135486 | − | 0.990779i | \(-0.456740\pi\) | ||||
0.135486 | + | 0.990779i | \(0.456740\pi\) | |||||||
\(758\) | − | 15.5960i | − | 0.566472i | ||||||
\(759\) | −9.46597 | − | 4.56490i | −0.343593 | − | 0.165695i | ||||
\(760\) | −3.66666 | −0.133004 | ||||||||
\(761\) | −4.32462 | − | 7.49046i | −0.156767 | − | 0.271529i | 0.776934 | − | 0.629582i | \(-0.216774\pi\) |
−0.933701 | + | 0.358053i | \(0.883441\pi\) | |||||||
\(762\) | 13.4891 | − | 27.9716i | 0.488658 | − | 1.01330i | ||||
\(763\) | −2.41219 | − | 23.7833i | −0.0873271 | − | 0.861013i | ||||
\(764\) | 13.3042i | 0.481330i | ||||||||
\(765\) | −66.3010 | + | 9.91969i | −2.39712 | + | 0.358647i | ||||
\(766\) | −8.16720 | + | 4.71534i | −0.295093 | + | 0.170372i | ||||
\(767\) | 26.5280 | + | 15.3159i | 0.957870 | + | 0.553026i | ||||
\(768\) | −1.56012 | − | 0.752355i | −0.0562958 | − | 0.0271483i | ||||
\(769\) | 20.4818 | + | 11.8252i | 0.738592 | + | 0.426426i | 0.821557 | − | 0.570126i | \(-0.193106\pi\) |
−0.0829652 | + | 0.996552i | \(0.526439\pi\) | |||||||
\(770\) | 17.5005 | + | 7.86823i | 0.630675 | + | 0.283551i | ||||
\(771\) | 1.94005 | + | 26.0781i | 0.0698693 | + | 0.939180i | ||||
\(772\) | −6.53573 | −0.235226 | ||||||||
\(773\) | 23.2849 | + | 40.3307i | 0.837501 | + | 1.45059i | 0.891978 | + | 0.452079i | \(0.149317\pi\) |
−0.0544774 | + | 0.998515i | \(0.517349\pi\) | |||||||
\(774\) | 13.3960 | + | 5.27434i | 0.481511 | + | 0.189582i | ||||
\(775\) | 6.38084 | + | 3.68398i | 0.229207 | + | 0.132333i | ||||
\(776\) | 5.87944 | + | 10.1835i | 0.211060 | + | 0.365566i | ||||
\(777\) | 33.1046 | − | 5.86462i | 1.18762 | − | 0.210392i | ||||
\(778\) | −3.21089 | + | 5.56142i | −0.115116 | + | 0.199387i | ||||
\(779\) | −5.00170 | + | 2.88773i | −0.179204 | + | 0.103464i | ||||
\(780\) | 9.28205 | − | 19.2476i | 0.332351 | − | 0.689176i | ||||
\(781\) | 0.467172 | − | 0.809166i | 0.0167167 | − | 0.0289542i | ||||
\(782\) | −9.34769 | + | 16.1907i | −0.334273 | + | 0.578977i | ||||
\(783\) | −20.5551 | − | 22.2256i | −0.734580 | − | 0.794279i | ||||
\(784\) | 4.64590 | + | 5.23599i | 0.165925 | + | 0.187000i | ||||
\(785\) | −9.62178 | + | 5.55513i | −0.343416 | + | 0.198271i | ||||
\(786\) | 29.9360 | − | 2.22706i | 1.06778 | − | 0.0794366i | ||||
\(787\) | 24.4400i | 0.871192i | 0.900142 | + | 0.435596i | \(0.143462\pi\) | ||||
−0.900142 | + | 0.435596i | \(0.856538\pi\) | |||||||
\(788\) | 4.44250i | 0.158258i | ||||||||
\(789\) | −19.1460 | − | 28.1148i | −0.681617 | − | 1.00091i | ||||
\(790\) | 11.9902 | − | 6.92255i | 0.426592 | − | 0.246293i | ||||
\(791\) | 2.61593 | + | 3.62823i | 0.0930118 | + | 0.129005i | ||||
\(792\) | −5.94521 | + | 0.889499i | −0.211254 | + | 0.0316070i | ||||
\(793\) | 25.0748 | − | 43.4309i | 0.890433 | − | 1.54228i | ||||
\(794\) | −3.46266 | + | 5.99750i | −0.122885 | + | 0.212843i | ||||
\(795\) | 30.8877 | + | 45.3568i | 1.09547 | + | 1.60864i | ||||
\(796\) | −9.96868 | + | 5.75542i | −0.353330 | + | 0.203995i | ||||
\(797\) | −24.9202 | + | 43.1631i | −0.882719 | + | 1.52891i | −0.0344128 | + | 0.999408i | \(0.510956\pi\) |
−0.848306 | + | 0.529506i | \(0.822377\pi\) | |||||||
\(798\) | −4.57134 | + | 0.809832i | −0.161824 | + | 0.0286678i | ||||
\(799\) | 6.88489 | + | 11.9250i | 0.243570 | + | 0.421875i | ||||
\(800\) | −7.01433 | − | 4.04972i | −0.247994 | − | 0.143179i | ||||
\(801\) | −14.2014 | + | 2.12475i | −0.501780 | + | 0.0750743i | ||||
\(802\) | −5.29343 | − | 9.16848i | −0.186917 | − | 0.323750i | ||||
\(803\) | 8.44583 | 0.298047 | ||||||||
\(804\) | −12.9746 | − | 6.25690i | −0.457578 | − | 0.220664i | ||||
\(805\) | −16.9576 | − | 23.5198i | −0.597676 | − | 0.828963i | ||||
\(806\) | 2.68545 | + | 1.55045i | 0.0945910 | + | 0.0546121i | ||||
\(807\) | −0.0630937 | − | 0.848103i | −0.00222100 | − | 0.0298546i | ||||
\(808\) | 11.1650 | + | 6.44610i | 0.392782 | + | 0.226773i | ||||
\(809\) | −10.6735 | + | 6.16237i | −0.375262 | + | 0.216657i | −0.675755 | − | 0.737127i | \(-0.736182\pi\) |
0.300493 | + | 0.953784i | \(0.402849\pi\) | |||||||
\(810\) | 9.53372 | + | 31.1474i | 0.334981 | + | 1.09441i | ||||
\(811\) | 24.8017i | 0.870906i | 0.900212 | + | 0.435453i | \(0.143412\pi\) | ||||
−0.900212 | + | 0.435453i | \(0.856588\pi\) | |||||||
\(812\) | 15.3359 | − | 1.55542i | 0.538184 | − | 0.0545846i | ||||
\(813\) | 13.7258 | + | 20.1556i | 0.481386 | + | 0.706888i | ||||
\(814\) | −7.35042 | − | 12.7313i | −0.257632 | − | 0.446232i | ||||
\(815\) | 10.4009 | 0.364329 | ||||||||
\(816\) | 0.793376 | + | 10.6645i | 0.0277737 | + | 0.373333i | ||||
\(817\) | − | 4.86176i | − | 0.170091i | ||||||
\(818\) | 8.92343 | 0.312000 | ||||||||
\(819\) | 7.32111 | − | 26.0467i | 0.255820 | − | 0.910146i | ||||
\(820\) | −20.6333 | −0.720547 | ||||||||
\(821\) | − | 36.2083i | − | 1.26368i | −0.775100 | − | 0.631839i | \(-0.782300\pi\) | ||
0.775100 | − | 0.631839i | \(-0.217700\pi\) | |||||||
\(822\) | 0.000923569 | 0 | 0.000628945i | 3.22132e−5 | 0 | 2.19370e-5i | ||||
\(823\) | −19.0819 | −0.665152 | −0.332576 | − | 0.943076i | \(-0.607918\pi\) | ||||
−0.332576 | + | 0.943076i | \(0.607918\pi\) | |||||||
\(824\) | −5.37940 | − | 9.31740i | −0.187400 | − | 0.324587i | ||||
\(825\) | −28.0331 | + | 2.08549i | −0.975986 | + | 0.0726075i | ||||
\(826\) | 9.74937 | − | 21.6846i | 0.339224 | − | 0.754503i | ||||
\(827\) | 31.9013i | 1.10932i | 0.832079 | + | 0.554658i | \(0.187151\pi\) | ||||
−0.832079 | + | 0.554658i | \(0.812849\pi\) | |||||||
\(828\) | 8.45243 | + | 3.32793i | 0.293742 | + | 0.115653i | ||||
\(829\) | 13.0645 | − | 7.54278i | 0.453748 | − | 0.261971i | −0.255664 | − | 0.966766i | \(-0.582294\pi\) |
0.709412 | + | 0.704794i | \(0.248961\pi\) | |||||||
\(830\) | −25.1055 | − | 14.4947i | −0.871425 | − | 0.503118i | ||||
\(831\) | 43.9793 | − | 29.9497i | 1.52563 | − | 1.03894i | ||||
\(832\) | −2.95206 | − | 1.70437i | −0.102344 | − | 0.0590885i | ||||
\(833\) | 13.6545 | − | 41.0056i | 0.473101 | − | 1.42076i | ||||
\(834\) | −14.4360 | + | 9.83082i | −0.499877 | + | 0.340413i | ||||
\(835\) | −5.28795 | −0.182997 | ||||||||
\(836\) | 1.01500 | + | 1.75804i | 0.0351046 | + | 0.0608029i | ||||
\(837\) | −4.61007 | + | 1.04432i | −0.159347 | + | 0.0360972i | ||||
\(838\) | 29.7781 | + | 17.1924i | 1.02867 | + | 0.593901i | ||||
\(839\) | −8.19860 | − | 14.2004i | −0.283047 | − | 0.490252i | 0.689087 | − | 0.724679i | \(-0.258012\pi\) |
−0.972134 | + | 0.234427i | \(0.924679\pi\) | |||||||
\(840\) | −15.5901 | − | 5.66017i | −0.537909 | − | 0.195294i | ||||
\(841\) | 2.47206 | − | 4.28173i | 0.0852434 | − | 0.147646i | ||||
\(842\) | 30.8028 | − | 17.7840i | 1.06153 | − | 0.612877i | ||||
\(843\) | −13.6879 | + | 1.01830i | −0.471436 | + | 0.0350720i | ||||
\(844\) | −11.3005 | + | 19.5731i | −0.388980 | + | 0.673734i | ||||
\(845\) | −2.49817 | + | 4.32696i | −0.0859397 | + | 0.148852i | ||||
\(846\) | 5.23549 | − | 4.16587i | 0.180000 | − | 0.143226i | ||||
\(847\) | 1.86475 | + | 18.3857i | 0.0640735 | + | 0.631741i | ||||
\(848\) | 7.58088 | − | 4.37683i | 0.260329 | − | 0.150301i | ||||
\(849\) | 8.66402 | − | 17.9661i | 0.297348 | − | 0.616594i | ||||
\(850\) | 50.0075i | 1.71524i | ||||||||
\(851\) | 22.2149i | 0.761516i | ||||||||
\(852\) | −0.350814 | + | 0.727462i | −0.0120187 | + | 0.0249224i | ||||
\(853\) | 16.5936 | − | 9.58030i | 0.568153 | − | 0.328023i | −0.188258 | − | 0.982120i | \(-0.560284\pi\) |
0.756411 | + | 0.654096i | \(0.226951\pi\) | |||||||
\(854\) | −35.5014 | − | 15.9614i | −1.21483 | − | 0.546188i | ||||
\(855\) | 8.60756 | − | 6.84903i | 0.294372 | − | 0.234232i | ||||
\(856\) | −1.31983 | + | 2.28602i | −0.0451110 | + | 0.0781345i | ||||
\(857\) | 8.05723 | − | 13.9555i | 0.275230 | − | 0.476712i | −0.694963 | − | 0.719045i | \(-0.744579\pi\) |
0.970193 | + | 0.242333i | \(0.0779127\pi\) | |||||||
\(858\) | −11.7980 | + | 0.877703i | −0.402778 | + | 0.0299643i | ||||
\(859\) | 10.4830 | − | 6.05238i | 0.357677 | − | 0.206505i | −0.310384 | − | 0.950611i | \(-0.600458\pi\) |
0.668061 | + | 0.744106i | \(0.267124\pi\) | |||||||
\(860\) | 8.68453 | − | 15.0420i | 0.296140 | − | 0.512929i | ||||
\(861\) | −25.7242 | + | 4.55716i | −0.876679 | + | 0.155308i | ||||
\(862\) | −15.4348 | − | 26.7338i | −0.525710 | − | 0.910556i | ||||
\(863\) | 32.2728 | + | 18.6327i | 1.09858 | + | 0.634265i | 0.935848 | − | 0.352405i | \(-0.114636\pi\) |
0.162732 | + | 0.986670i | \(0.447969\pi\) | |||||||
\(864\) | 5.06775 | − | 1.14800i | 0.172408 | − | 0.0390559i | ||||
\(865\) | 5.55712 | + | 9.62522i | 0.188948 | + | 0.327267i | ||||
\(866\) | −23.2463 | −0.789942 | ||||||||
\(867\) | 30.2365 | − | 20.5909i | 1.02689 | − | 0.699303i | ||||
\(868\) | 0.986937 | − | 2.19515i | 0.0334988 | − | 0.0745082i | ||||
\(869\) | −6.63824 | − | 3.83259i | −0.225187 | − | 0.130012i | ||||
\(870\) | −30.1881 | + | 20.5579i | −1.02347 | + | 0.696978i | ||||
\(871\) | −24.5505 | − | 14.1743i | −0.831863 | − | 0.480276i | ||||
\(872\) | 7.82484 | − | 4.51768i | 0.264983 | − | 0.152988i | ||||
\(873\) | −32.8241 | − | 12.9236i | −1.11093 | − | 0.437399i | ||||
\(874\) | − | 3.06760i | − | 0.103763i | ||||||
\(875\) | −27.0696 | − | 12.1705i | −0.915120 | − | 0.411437i | ||||
\(876\) | −7.28033 | + | 0.541613i | −0.245980 | + | 0.0182994i | ||||
\(877\) | 4.85474 | + | 8.40866i | 0.163933 | + | 0.283940i | 0.936276 | − | 0.351266i | \(-0.114249\pi\) |
−0.772343 | + | 0.635206i | \(0.780915\pi\) | |||||||
\(878\) | −22.2727 | −0.751668 | ||||||||
\(879\) | 7.18493 | − | 4.89289i | 0.242342 | − | 0.165033i | ||||
\(880\) | 7.25237i | 0.244477i | ||||||||
\(881\) | −2.63241 | −0.0886881 | −0.0443440 | − | 0.999016i | \(-0.514120\pi\) | ||||
−0.0443440 | + | 0.999016i | \(0.514120\pi\) | |||||||
\(882\) | −20.6868 | − | 3.61342i | −0.696560 | − | 0.121670i | ||||
\(883\) | −36.3181 | −1.22220 | −0.611101 | − | 0.791553i | \(-0.709273\pi\) | ||||
−0.611101 | + | 0.791553i | \(0.709273\pi\) | |||||||
\(884\) | 21.0462i | 0.707860i | ||||||||
\(885\) | 4.17932 | + | 56.1782i | 0.140486 | + | 1.88841i | ||||
\(886\) | 17.9852 | 0.604224 | ||||||||
\(887\) | −8.18209 | − | 14.1718i | −0.274728 | − | 0.475842i | 0.695339 | − | 0.718682i | \(-0.255254\pi\) |
−0.970066 | + | 0.242840i | \(0.921921\pi\) | |||||||
\(888\) | 7.15251 | + | 10.5031i | 0.240023 | + | 0.352459i | ||||
\(889\) | −43.2645 | − | 19.4517i | −1.45104 | − | 0.652389i | ||||
\(890\) | 17.3238i | 0.580694i | ||||||||
\(891\) | 12.2950 | − | 13.1933i | 0.411898 | − | 0.441993i | ||||
\(892\) | −16.2994 | + | 9.41045i | −0.545744 | + | 0.315085i | ||||
\(893\) | −1.95669 | − | 1.12969i | −0.0654781 | − | 0.0378038i | ||||
\(894\) | 1.44530 | + | 19.4276i | 0.0483379 | + | 0.649756i | ||||
\(895\) | −60.5549 | − | 34.9614i | −2.02413 | − | 1.16863i | ||||
\(896\) | −1.08492 | + | 2.41308i | −0.0362446 | + | 0.0806153i | ||||
\(897\) | 16.1030 | + | 7.76555i | 0.537663 | + | 0.259284i | ||||
\(898\) | −9.44363 | −0.315138 | ||||||||
\(899\) | −2.64999 | − | 4.58992i | −0.0883822 | − | 0.153082i | ||||
\(900\) | 24.0309 | − | 3.59540i | 0.801029 | − | 0.119847i | ||||
\(901\) | −46.8058 | − | 27.0233i | −1.55933 | − | 0.900277i | ||||
\(902\) | 5.71171 | + | 9.89297i | 0.190179 | + | 0.329400i | ||||
\(903\) | 7.50503 | − | 20.6715i | 0.249752 | − | 0.687904i | ||||
\(904\) | −0.845306 | + | 1.46411i | −0.0281145 | + | 0.0486957i | ||||
\(905\) | −24.7405 | + | 14.2839i | −0.822403 | + | 0.474814i | ||||
\(906\) | −4.60533 | − | 6.76266i | −0.153002 | − | 0.224674i | ||||
\(907\) | −5.41666 | + | 9.38192i | −0.179857 | + | 0.311522i | −0.941831 | − | 0.336086i | \(-0.890897\pi\) |
0.761974 | + | 0.647607i | \(0.224230\pi\) | |||||||
\(908\) | 7.30665 | − | 12.6555i | 0.242480 | − | 0.419987i | ||||
\(909\) | −38.2509 | + | 5.72294i | −1.26870 | + | 0.189818i | ||||
\(910\) | −29.7709 | − | 13.3850i | −0.986897 | − | 0.443708i | ||||
\(911\) | 36.8512 | − | 21.2760i | 1.22093 | − | 0.704907i | 0.255817 | − | 0.966725i | \(-0.417655\pi\) |
0.965117 | + | 0.261818i | \(0.0843221\pi\) | |||||||
\(912\) | −0.987674 | − | 1.45034i | −0.0327052 | − | 0.0480256i | ||||
\(913\) | 16.0496i | 0.531166i | ||||||||
\(914\) | − | 1.84450i | − | 0.0610107i | ||||||
\(915\) | 91.9734 | − | 6.84227i | 3.04055 | − | 0.226198i | ||||
\(916\) | −2.06044 | + | 1.18959i | −0.0680788 | + | 0.0393053i | ||||
\(917\) | −4.62699 | − | 45.6204i | −0.152797 | − | 1.50652i | ||||
\(918\) | −21.7830 | − | 23.5533i | −0.718946 | − | 0.777373i | ||||
\(919\) | −12.9697 | + | 22.4641i | −0.427829 | + | 0.741022i | −0.996680 | − | 0.0814187i | \(-0.974055\pi\) |
0.568851 | + | 0.822441i | \(0.307388\pi\) | |||||||
\(920\) | 5.47963 | − | 9.49100i | 0.180658 | − | 0.312909i | ||||
\(921\) | 13.1895 | − | 27.3502i | 0.434608 | − | 0.901221i | ||||
\(922\) | 31.5007 | − | 18.1869i | 1.03742 | − | 0.598955i | ||||
\(923\) | −0.794727 | + | 1.37651i | −0.0261588 | + | 0.0453083i | ||||
\(924\) | 1.60179 | + | 9.04176i | 0.0526949 | + | 0.297452i | ||||
\(925\) | 29.7108 | + | 51.4606i | 0.976884 | + | 1.69201i | ||||
\(926\) | −27.6834 | − | 15.9830i | −0.909733 | − | 0.525234i | ||||
\(927\) | 30.0324 | + | 11.8245i | 0.986395 | + | 0.388367i | ||||
\(928\) | 2.91308 | + | 5.04560i | 0.0956265 | + | 0.165630i | ||||
\(929\) | 46.8911 | 1.53845 | 0.769224 | − | 0.638979i | \(-0.220643\pi\) | ||||
0.769224 | + | 0.638979i | \(0.220643\pi\) | |||||||
\(930\) | 0.423076 | + | 5.68697i | 0.0138732 | + | 0.186483i | ||||
\(931\) | 1.42386 | + | 6.94715i | 0.0466650 | + | 0.227684i | ||||
\(932\) | −9.03470 | − | 5.21619i | −0.295942 | − | 0.170862i | ||||
\(933\) | −26.9825 | − | 13.0121i | −0.883367 | − | 0.425998i | ||||
\(934\) | 21.1666 | + | 12.2206i | 0.692593 | + | 0.399869i | ||||
\(935\) | 38.7784 | − | 22.3887i | 1.26819 | − | 0.732189i | ||||
\(936\) | 10.1137 | − | 1.51317i | 0.330575 | − | 0.0494594i | ||||
\(937\) | 0.209357i | 0.00683939i | 0.999994 | + | 0.00341969i | \(0.00108852\pi\) | ||||
−0.999994 | + | 0.00341969i | \(0.998911\pi\) | |||||||
\(938\) | −9.02263 | + | 20.0682i | −0.294599 | + | 0.655249i | ||||
\(939\) | 6.76742 | − | 14.0332i | 0.220846 | − | 0.457956i | ||||
\(940\) | −4.03593 | − | 6.99044i | −0.131638 | − | 0.228003i | ||||
\(941\) | −0.777130 | −0.0253337 | −0.0126669 | − | 0.999920i | \(-0.504032\pi\) | ||||
−0.0126669 | + | 0.999920i | \(0.504032\pi\) | |||||||
\(942\) | −4.78911 | − | 2.30952i | −0.156038 | − | 0.0752481i | ||||
\(943\) | − | 17.2623i | − | 0.562137i | ||||||
\(944\) | 8.98627 | 0.292478 | ||||||||
\(945\) | 47.1708 | − | 15.8337i | 1.53447 | − | 0.515071i | ||||
\(946\) | −9.61619 | −0.312649 | ||||||||
\(947\) | − | 49.7945i | − | 1.61810i | −0.587737 | − | 0.809052i | \(-0.699981\pi\) | ||
0.587737 | − | 0.809052i | \(-0.300019\pi\) | |||||||
\(948\) | 5.96796 | + | 2.87801i | 0.193830 | + | 0.0934734i | ||||
\(949\) | −14.3676 | −0.466391 | ||||||||
\(950\) | −4.10269 | − | 7.10607i | −0.133109 | − | 0.230552i | ||||
\(951\) | 5.05612 | − | 10.4846i | 0.163956 | − | 0.339986i | ||||
\(952\) | 16.2520 | − | 1.64833i | 0.526729 | − | 0.0534228i | ||||
\(953\) | 41.4104i | 1.34141i | 0.741722 | + | 0.670707i | \(0.234009\pi\) | ||||
−0.741722 | + | 0.670707i | \(0.765991\pi\) | |||||||
\(954\) | −9.62073 | + | 24.4352i | −0.311483 | + | 0.791119i | ||||
\(955\) | −41.7010 | + | 24.0761i | −1.34941 | + | 0.779084i | ||||
\(956\) | −20.5971 | − | 11.8917i | −0.666158 | − | 0.384607i | ||||
\(957\) | 18.2135 | + | 8.78332i | 0.588757 | + | 0.283924i | ||||
\(958\) | 9.49220 | + | 5.48032i | 0.306679 | + | 0.177061i | ||||
\(959\) | −0.000998217 | − | 0.00138450i | −3.22341e−5 | − | 4.47079e-5i | ||||
\(960\) | −0.465079 | − | 6.25156i | −0.0150103 | − | 0.201768i | ||||
\(961\) | 30.1725 | 0.973305 | ||||||||
\(962\) | 12.5041 | + | 21.6578i | 0.403149 | + | 0.698274i | ||||
\(963\) | −1.17177 | − | 7.83183i | −0.0377596 | − | 0.252377i | ||||
\(964\) | −24.8105 | − | 14.3243i | −0.799092 | − | 0.461356i | ||||
\(965\) | −11.8274 | − | 20.4857i | −0.380739 | − | 0.659459i | ||||
\(966\) | 4.73541 | − | 13.0430i | 0.152359 | − | 0.419651i | ||||
\(967\) | 22.8028 | − | 39.4956i | 0.733289 | − | 1.27009i | −0.222181 | − | 0.975005i | \(-0.571318\pi\) |
0.955470 | − | 0.295088i | \(-0.0953491\pi\) | |||||||
\(968\) | −6.04902 | + | 3.49240i | −0.194423 | + | 0.112250i | ||||
\(969\) | −4.70594 | + | 9.75843i | −0.151177 | + | 0.313486i | ||||
\(970\) | −21.2796 | + | 36.8573i | −0.683245 | + | 1.18342i | ||||
\(971\) | −4.36733 | + | 7.56444i | −0.140154 | + | 0.242754i | −0.927555 | − | 0.373688i | \(-0.878093\pi\) |
0.787400 | + | 0.616442i | \(0.211427\pi\) | |||||||
\(972\) | −9.75228 | + | 12.1611i | −0.312804 | + | 0.390068i | ||||
\(973\) | 15.6028 | + | 21.6407i | 0.500202 | + | 0.693768i | ||||
\(974\) | 29.1136 | − | 16.8087i | 0.932860 | − | 0.538587i | ||||
\(975\) | 47.6883 | − | 3.54772i | 1.52725 | − | 0.113618i | ||||
\(976\) | − | 14.7121i | − | 0.470922i | ||||||
\(977\) | − | 14.9023i | − | 0.476766i | −0.971171 | − | 0.238383i | \(-0.923383\pi\) | ||
0.971171 | − | 0.238383i | \(-0.0766174\pi\) | |||||||
\(978\) | 2.80167 | + | 4.11408i | 0.0895874 | + | 0.131554i | ||||
\(979\) | 8.30615 | − | 4.79556i | 0.265466 | − | 0.153267i | ||||
\(980\) | −8.00430 | + | 24.0376i | −0.255688 | + | 0.767852i | ||||
\(981\) | −9.93033 | + | 25.2216i | −0.317051 | + | 0.805262i | ||||
\(982\) | 11.3676 | − | 19.6893i | 0.362756 | − | 0.628312i | ||||
\(983\) | −1.53458 | + | 2.65798i | −0.0489456 | + | 0.0847763i | −0.889460 | − | 0.457013i | \(-0.848919\pi\) |
0.840515 | + | 0.541789i | \(0.182253\pi\) | |||||||
\(984\) | −5.55793 | − | 8.16149i | −0.177180 | − | 0.260179i | ||||
\(985\) | −13.9247 | + | 8.03941i | −0.443677 | + | 0.256157i | ||||
\(986\) | 17.9859 | − | 31.1525i | 0.572787 | − | 0.992096i | ||||
\(987\) | −6.57566 | − | 7.82381i | −0.209306 | − | 0.249035i | ||||
\(988\) | −1.72667 | − | 2.99067i | −0.0549325 | − | 0.0951460i | ||||
\(989\) | 12.5845 | + | 7.26565i | 0.400163 | + | 0.231034i | ||||
\(990\) | −13.5469 | − | 17.0251i | −0.430547 | − | 0.541093i | ||||
\(991\) | 27.9075 | + | 48.3372i | 0.886510 | + | 1.53548i | 0.843973 | + | 0.536386i | \(0.180211\pi\) |
0.0425375 | + | 0.999095i | \(0.486456\pi\) | |||||||
\(992\) | 0.909687 | 0.0288826 | ||||||||
\(993\) | 29.2904 | + | 14.1251i | 0.929502 | + | 0.448246i | ||||
\(994\) | 1.12519 | + | 0.505884i | 0.0356888 | + | 0.0160457i | ||||
\(995\) | −36.0798 | − | 20.8307i | −1.14381 | − | 0.660377i | ||||
\(996\) | −1.02923 | − | 13.8348i | −0.0326124 | − | 0.438374i | ||||
\(997\) | 5.30607 | + | 3.06346i | 0.168045 | + | 0.0970208i | 0.581664 | − | 0.813429i | \(-0.302402\pi\) |
−0.413619 | + | 0.910450i | \(0.635735\pi\) | |||||||
\(998\) | 16.9079 | − | 9.76175i | 0.535209 | − | 0.309003i | ||||
\(999\) | −36.4096 | − | 11.2958i | −1.15195 | − | 0.357384i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))