Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(-0.623490 - 0.781831i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 43.41 |
Dual form | 43.2.e.a.21.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.62349 | + | 0.781831i | −1.14798 | + | 0.552838i | −0.908426 | − | 0.418045i | \(-0.862716\pi\) |
−0.239554 | + | 0.970883i | \(0.577001\pi\) | |||||||
\(3\) | 1.12349 | + | 0.541044i | 0.648647 | + | 0.312372i | 0.729121 | − | 0.684385i | \(-0.239929\pi\) |
−0.0804740 | + | 0.996757i | \(0.525643\pi\) | |||||||
\(4\) | 0.777479 | − | 0.974928i | 0.388740 | − | 0.487464i | ||||
\(5\) | −0.500000 | + | 2.19064i | −0.223607 | + | 0.979685i | 0.731131 | + | 0.682237i | \(0.238993\pi\) |
−0.954738 | + | 0.297448i | \(0.903864\pi\) | |||||||
\(6\) | −2.24698 | −0.917326 | ||||||||
\(7\) | 1.69202 | 0.639524 | 0.319762 | − | 0.947498i | \(-0.396397\pi\) | ||||
0.319762 | + | 0.947498i | \(0.396397\pi\) | |||||||
\(8\) | 0.301938 | − | 1.32288i | 0.106751 | − | 0.467707i | ||||
\(9\) | −0.900969 | − | 1.12978i | −0.300323 | − | 0.376593i | ||||
\(10\) | −0.900969 | − | 3.94740i | −0.284911 | − | 1.24828i | ||||
\(11\) | −0.708947 | − | 0.888992i | −0.213756 | − | 0.268041i | 0.663381 | − | 0.748282i | \(-0.269121\pi\) |
−0.877137 | + | 0.480240i | \(0.840549\pi\) | |||||||
\(12\) | 1.40097 | − | 0.674671i | 0.404425 | − | 0.194761i | ||||
\(13\) | 1.45593 | − | 6.37883i | 0.403801 | − | 1.76917i | −0.207970 | − | 0.978135i | \(-0.566686\pi\) |
0.611771 | − | 0.791035i | \(-0.290457\pi\) | |||||||
\(14\) | −2.74698 | + | 1.32288i | −0.734161 | + | 0.353553i | ||||
\(15\) | −1.74698 | + | 2.19064i | −0.451068 | + | 0.565622i | ||||
\(16\) | 1.09903 | + | 4.81517i | 0.274758 | + | 1.20379i | ||||
\(17\) | 0.801938 | + | 3.51352i | 0.194498 | + | 0.852153i | 0.974143 | + | 0.225931i | \(0.0725425\pi\) |
−0.779645 | + | 0.626222i | \(0.784600\pi\) | |||||||
\(18\) | 2.34601 | + | 1.12978i | 0.552960 | + | 0.266292i | ||||
\(19\) | −2.77144 | + | 3.47527i | −0.635812 | + | 0.797282i | −0.990472 | − | 0.137713i | \(-0.956025\pi\) |
0.354661 | + | 0.934995i | \(0.384596\pi\) | |||||||
\(20\) | 1.74698 | + | 2.19064i | 0.390637 | + | 0.489843i | ||||
\(21\) | 1.90097 | + | 0.915458i | 0.414825 | + | 0.199769i | ||||
\(22\) | 1.84601 | + | 0.888992i | 0.393571 | + | 0.189534i | ||||
\(23\) | −2.31551 | − | 2.90356i | −0.482817 | − | 0.605434i | 0.479440 | − | 0.877575i | \(-0.340840\pi\) |
−0.962257 | + | 0.272141i | \(0.912268\pi\) | |||||||
\(24\) | 1.05496 | − | 1.32288i | 0.215342 | − | 0.270031i | ||||
\(25\) | −0.0440730 | − | 0.0212244i | −0.00881460 | − | 0.00424489i | ||||
\(26\) | 2.62349 | + | 11.4943i | 0.514509 | + | 2.25421i | ||||
\(27\) | −1.23341 | − | 5.40391i | −0.237369 | − | 1.03998i | ||||
\(28\) | 1.31551 | − | 1.64960i | 0.248608 | − | 0.311745i | ||||
\(29\) | 5.40581 | − | 2.60330i | 1.00383 | − | 0.483421i | 0.141596 | − | 0.989924i | \(-0.454777\pi\) |
0.862238 | + | 0.506503i | \(0.169062\pi\) | |||||||
\(30\) | 1.12349 | − | 4.92233i | 0.205120 | − | 0.898690i | ||||
\(31\) | −9.30074 | + | 4.47900i | −1.67046 | + | 0.804452i | −0.672538 | + | 0.740063i | \(0.734796\pi\) |
−0.997925 | + | 0.0643894i | \(0.979490\pi\) | |||||||
\(32\) | −3.85690 | − | 4.83639i | −0.681809 | − | 0.854962i | ||||
\(33\) | −0.315511 | − | 1.38235i | −0.0549235 | − | 0.240635i | ||||
\(34\) | −4.04892 | − | 5.07718i | −0.694384 | − | 0.870729i | ||||
\(35\) | −0.846011 | + | 3.70662i | −0.143002 | + | 0.626532i | ||||
\(36\) | −1.80194 | −0.300323 | ||||||||
\(37\) | 3.65279 | 0.600515 | 0.300258 | − | 0.953858i | \(-0.402927\pi\) | ||||
0.300258 | + | 0.953858i | \(0.402927\pi\) | |||||||
\(38\) | 1.78232 | − | 7.80887i | 0.289131 | − | 1.26677i | ||||
\(39\) | 5.08695 | − | 6.37883i | 0.814564 | − | 1.02143i | ||||
\(40\) | 2.74698 | + | 1.32288i | 0.434336 | + | 0.209165i | ||||
\(41\) | −3.96077 | + | 1.90741i | −0.618569 | + | 0.297887i | −0.716802 | − | 0.697276i | \(-0.754395\pi\) |
0.0982338 | + | 0.995163i | \(0.468681\pi\) | |||||||
\(42\) | −3.80194 | −0.586652 | ||||||||
\(43\) | 1.67241 | + | 6.34059i | 0.255040 | + | 0.966931i | ||||
\(44\) | −1.41789 | −0.213756 | ||||||||
\(45\) | 2.92543 | − | 1.40881i | 0.436097 | − | 0.210013i | ||||
\(46\) | 6.02930 | + | 2.90356i | 0.888972 | + | 0.428106i | ||||
\(47\) | −1.96346 | + | 2.46210i | −0.286400 | + | 0.359134i | −0.904131 | − | 0.427255i | \(-0.859481\pi\) |
0.617731 | + | 0.786389i | \(0.288052\pi\) | |||||||
\(48\) | −1.37047 | + | 6.00442i | −0.197810 | + | 0.866663i | ||||
\(49\) | −4.13706 | −0.591009 | ||||||||
\(50\) | 0.0881460 | 0.0124657 | ||||||||
\(51\) | −1.00000 | + | 4.38129i | −0.140028 | + | 0.613503i | ||||
\(52\) | −5.08695 | − | 6.37883i | −0.705433 | − | 0.884585i | ||||
\(53\) | −2.48039 | − | 10.8673i | −0.340707 | − | 1.49274i | −0.797585 | − | 0.603206i | \(-0.793890\pi\) |
0.456878 | − | 0.889529i | \(-0.348968\pi\) | |||||||
\(54\) | 6.22737 | + | 7.80887i | 0.847437 | + | 1.06265i | ||||
\(55\) | 2.30194 | − | 1.10855i | 0.310393 | − | 0.149477i | ||||
\(56\) | 0.510885 | − | 2.23833i | 0.0682699 | − | 0.299110i | ||||
\(57\) | −4.99396 | + | 2.40496i | −0.661466 | + | 0.318545i | ||||
\(58\) | −6.74094 | + | 8.45287i | −0.885129 | + | 1.10992i | ||||
\(59\) | −0.0353438 | − | 0.154851i | −0.00460137 | − | 0.0201599i | 0.972575 | − | 0.232589i | \(-0.0747197\pi\) |
−0.977176 | + | 0.212429i | \(0.931863\pi\) | |||||||
\(60\) | 0.777479 | + | 3.40636i | 0.100372 | + | 0.439759i | ||||
\(61\) | 0.643104 | + | 0.309703i | 0.0823410 | + | 0.0396534i | 0.474601 | − | 0.880201i | \(-0.342592\pi\) |
−0.392260 | + | 0.919854i | \(0.628307\pi\) | |||||||
\(62\) | 11.5978 | − | 14.5432i | 1.47293 | − | 1.84699i | ||||
\(63\) | −1.52446 | − | 1.91161i | −0.192064 | − | 0.240840i | ||||
\(64\) | 1.14310 | + | 0.550490i | 0.142888 | + | 0.0688112i | ||||
\(65\) | 13.2458 | + | 6.37883i | 1.64294 | + | 0.791197i | ||||
\(66\) | 1.59299 | + | 1.99755i | 0.196084 | + | 0.245881i | ||||
\(67\) | −1.30798 | + | 1.64015i | −0.159795 | + | 0.200377i | −0.855283 | − | 0.518161i | \(-0.826617\pi\) |
0.695488 | + | 0.718538i | \(0.255188\pi\) | |||||||
\(68\) | 4.04892 | + | 1.94986i | 0.491003 | + | 0.236455i | ||||
\(69\) | −1.03050 | − | 4.51491i | −0.124058 | − | 0.543532i | ||||
\(70\) | −1.52446 | − | 6.67909i | −0.182208 | − | 0.798304i | ||||
\(71\) | −2.32304 | + | 2.91301i | −0.275695 | + | 0.345710i | −0.900331 | − | 0.435206i | \(-0.856676\pi\) |
0.624637 | + | 0.780916i | \(0.285247\pi\) | |||||||
\(72\) | −1.76659 | + | 0.850747i | −0.208195 | + | 0.100261i | ||||
\(73\) | −0.318864 | + | 1.39703i | −0.0373202 | + | 0.163510i | −0.990154 | − | 0.139982i | \(-0.955296\pi\) |
0.952834 | + | 0.303492i | \(0.0981527\pi\) | |||||||
\(74\) | −5.93027 | + | 2.85587i | −0.689380 | + | 0.331988i | ||||
\(75\) | −0.0380322 | − | 0.0476909i | −0.00439158 | − | 0.00550687i | ||||
\(76\) | 1.23341 | + | 5.40391i | 0.141481 | + | 0.619870i | ||||
\(77\) | −1.19955 | − | 1.50419i | −0.136702 | − | 0.171419i | ||||
\(78\) | −3.27144 | + | 14.3331i | −0.370417 | + | 1.62290i | ||||
\(79\) | −0.0609989 | −0.00686292 | −0.00343146 | − | 0.999994i | \(-0.501092\pi\) | ||||
−0.00343146 | + | 0.999994i | \(0.501092\pi\) | |||||||
\(80\) | −11.0978 | −1.24078 | ||||||||
\(81\) | 0.573376 | − | 2.51212i | 0.0637084 | − | 0.279125i | ||||
\(82\) | 4.93900 | − | 6.19331i | 0.545421 | − | 0.683937i | ||||
\(83\) | 11.0673 | + | 5.32975i | 1.21480 | + | 0.585016i | 0.927858 | − | 0.372933i | \(-0.121648\pi\) |
0.286940 | + | 0.957949i | \(0.407362\pi\) | |||||||
\(84\) | 2.37047 | − | 1.14156i | 0.258639 | − | 0.124554i | ||||
\(85\) | −8.09783 | −0.878333 | ||||||||
\(86\) | −7.67241 | − | 8.98634i | −0.827337 | − | 0.969022i | ||||
\(87\) | 7.48188 | 0.802141 | ||||||||
\(88\) | −1.39008 | + | 0.669429i | −0.148183 | + | 0.0713614i | ||||
\(89\) | 9.56734 | + | 4.60739i | 1.01414 | + | 0.488382i | 0.865712 | − | 0.500542i | \(-0.166866\pi\) |
0.148423 | + | 0.988924i | \(0.452580\pi\) | |||||||
\(90\) | −3.64795 | + | 4.57438i | −0.384528 | + | 0.482182i | ||||
\(91\) | 2.46346 | − | 10.7931i | 0.258241 | − | 1.13143i | ||||
\(92\) | −4.63102 | −0.482817 | ||||||||
\(93\) | −12.8726 | −1.33483 | ||||||||
\(94\) | 1.26271 | − | 5.53229i | 0.130238 | − | 0.570612i | ||||
\(95\) | −6.22737 | − | 7.80887i | −0.638914 | − | 0.801173i | ||||
\(96\) | −1.71648 | − | 7.52039i | −0.175188 | − | 0.767547i | ||||
\(97\) | 2.18449 | + | 2.73926i | 0.221801 | + | 0.278130i | 0.880265 | − | 0.474483i | \(-0.157365\pi\) |
−0.658464 | + | 0.752613i | \(0.728793\pi\) | |||||||
\(98\) | 6.71648 | − | 3.23449i | 0.678467 | − | 0.326732i | ||||
\(99\) | −0.365625 | + | 1.60191i | −0.0367467 | + | 0.160998i | ||||
\(100\) | −0.0549581 | + | 0.0264664i | −0.00549581 | + | 0.00264664i | ||||
\(101\) | 8.02595 | − | 10.0642i | 0.798612 | − | 1.00143i | −0.201149 | − | 0.979561i | \(-0.564468\pi\) |
0.999761 | − | 0.0218670i | \(-0.00696105\pi\) | |||||||
\(102\) | −1.80194 | − | 7.89481i | −0.178418 | − | 0.781702i | ||||
\(103\) | −0.826396 | − | 3.62068i | −0.0814273 | − | 0.356756i | 0.917757 | − | 0.397143i | \(-0.129998\pi\) |
−0.999184 | + | 0.0403866i | \(0.987141\pi\) | |||||||
\(104\) | −7.99880 | − | 3.85202i | −0.784347 | − | 0.377722i | ||||
\(105\) | −2.95593 | + | 3.70662i | −0.288469 | + | 0.361729i | ||||
\(106\) | 12.5233 | + | 15.7037i | 1.21637 | + | 1.52528i | ||||
\(107\) | −4.54892 | − | 2.19064i | −0.439760 | − | 0.211777i | 0.200884 | − | 0.979615i | \(-0.435619\pi\) |
−0.640645 | + | 0.767838i | \(0.721333\pi\) | |||||||
\(108\) | −6.22737 | − | 2.99894i | −0.599229 | − | 0.288573i | ||||
\(109\) | 1.35690 | + | 1.70149i | 0.129967 | + | 0.162974i | 0.842557 | − | 0.538607i | \(-0.181049\pi\) |
−0.712590 | + | 0.701581i | \(0.752478\pi\) | |||||||
\(110\) | −2.87047 | + | 3.59945i | −0.273689 | + | 0.343195i | ||||
\(111\) | 4.10388 | + | 1.97632i | 0.389523 | + | 0.187584i | ||||
\(112\) | 1.85958 | + | 8.14737i | 0.175714 | + | 0.769854i | ||||
\(113\) | 2.61380 | + | 11.4518i | 0.245886 | + | 1.07730i | 0.935558 | + | 0.353174i | \(0.114898\pi\) |
−0.689672 | + | 0.724122i | \(0.742245\pi\) | |||||||
\(114\) | 6.22737 | − | 7.80887i | 0.583246 | − | 0.731368i | ||||
\(115\) | 7.51842 | − | 3.62068i | 0.701096 | − | 0.337630i | ||||
\(116\) | 1.66487 | − | 7.29429i | 0.154580 | − | 0.677258i | ||||
\(117\) | −8.51842 | + | 4.10225i | −0.787528 | + | 0.379254i | ||||
\(118\) | 0.178448 | + | 0.223767i | 0.0164275 | + | 0.0205994i | ||||
\(119\) | 1.35690 | + | 5.94495i | 0.124386 | + | 0.544973i | ||||
\(120\) | 2.37047 | + | 2.97247i | 0.216393 | + | 0.271349i | ||||
\(121\) | 2.16003 | − | 9.46371i | 0.196366 | − | 0.860337i | ||||
\(122\) | −1.28621 | −0.116448 | ||||||||
\(123\) | −5.48188 | −0.494284 | ||||||||
\(124\) | −2.86443 | + | 12.5499i | −0.257233 | + | 1.12701i | ||||
\(125\) | −6.93631 | + | 8.69786i | −0.620403 | + | 0.777960i | ||||
\(126\) | 3.96950 | + | 1.91161i | 0.353631 | + | 0.170300i | ||||
\(127\) | 18.2201 | − | 8.77435i | 1.61677 | − | 0.778598i | 0.616811 | − | 0.787111i | \(-0.288424\pi\) |
0.999964 | + | 0.00851340i | \(0.00270993\pi\) | |||||||
\(128\) | 10.0858 | 0.891463 | ||||||||
\(129\) | −1.55161 | + | 8.02843i | −0.136611 | + | 0.706864i | ||||
\(130\) | −26.4916 | −2.32346 | ||||||||
\(131\) | −1.85474 | + | 0.893196i | −0.162049 | + | 0.0780389i | −0.513150 | − | 0.858299i | \(-0.671522\pi\) |
0.351101 | + | 0.936338i | \(0.385807\pi\) | |||||||
\(132\) | −1.59299 | − | 0.767144i | −0.138652 | − | 0.0667713i | ||||
\(133\) | −4.68933 | + | 5.88024i | −0.406617 | + | 0.509881i | ||||
\(134\) | 0.841166 | − | 3.68539i | 0.0726657 | − | 0.318369i | ||||
\(135\) | 12.4547 | 1.07193 | ||||||||
\(136\) | 4.89008 | 0.419321 | ||||||||
\(137\) | −3.47166 | + | 15.2103i | −0.296604 | + | 1.29951i | 0.578545 | + | 0.815651i | \(0.303621\pi\) |
−0.875148 | + | 0.483855i | \(0.839236\pi\) | |||||||
\(138\) | 5.20291 | + | 6.52424i | 0.442901 | + | 0.555380i | ||||
\(139\) | 1.57457 | + | 6.89865i | 0.133553 | + | 0.585136i | 0.996770 | + | 0.0803030i | \(0.0255888\pi\) |
−0.863217 | + | 0.504833i | \(0.831554\pi\) | |||||||
\(140\) | 2.95593 | + | 3.70662i | 0.249821 | + | 0.313266i | ||||
\(141\) | −3.53803 | + | 1.70383i | −0.297956 | + | 0.143488i | ||||
\(142\) | 1.49396 | − | 6.54546i | 0.125370 | − | 0.549283i | ||||
\(143\) | −6.70291 | + | 3.22795i | −0.560525 | + | 0.269935i | ||||
\(144\) | 4.44989 | − | 5.57998i | 0.370824 | − | 0.464998i | ||||
\(145\) | 3.00000 | + | 13.1439i | 0.249136 | + | 1.09154i | ||||
\(146\) | −0.574572 | − | 2.51737i | −0.0475520 | − | 0.208339i | ||||
\(147\) | −4.64795 | − | 2.23833i | −0.383356 | − | 0.184615i | ||||
\(148\) | 2.83997 | − | 3.56121i | 0.233444 | − | 0.292730i | ||||
\(149\) | −3.61745 | − | 4.53614i | −0.296353 | − | 0.371615i | 0.611255 | − | 0.791434i | \(-0.290665\pi\) |
−0.907608 | + | 0.419819i | \(0.862094\pi\) | |||||||
\(150\) | 0.0990311 | + | 0.0476909i | 0.00808586 | + | 0.00389394i | ||||
\(151\) | −6.71164 | − | 3.23215i | −0.546185 | − | 0.263029i | 0.140379 | − | 0.990098i | \(-0.455168\pi\) |
−0.686565 | + | 0.727069i | \(0.740882\pi\) | |||||||
\(152\) | 3.76055 | + | 4.71558i | 0.305021 | + | 0.382484i | ||||
\(153\) | 3.24698 | − | 4.07158i | 0.262503 | − | 0.329168i | ||||
\(154\) | 3.12349 | + | 1.50419i | 0.251698 | + | 0.121211i | ||||
\(155\) | −5.16152 | − | 22.6141i | −0.414583 | − | 1.81641i | ||||
\(156\) | −2.26391 | − | 9.91882i | −0.181258 | − | 0.794141i | ||||
\(157\) | 8.23825 | − | 10.3304i | 0.657484 | − | 0.824459i | −0.335583 | − | 0.942011i | \(-0.608933\pi\) |
0.993067 | + | 0.117552i | \(0.0375047\pi\) | |||||||
\(158\) | 0.0990311 | − | 0.0476909i | 0.00787849 | − | 0.00379408i | ||||
\(159\) | 3.09299 | − | 13.5513i | 0.245290 | − | 1.07469i | ||||
\(160\) | 12.5233 | − | 6.03089i | 0.990051 | − | 0.476783i | ||||
\(161\) | −3.91789 | − | 4.91288i | −0.308773 | − | 0.387190i | ||||
\(162\) | 1.03319 | + | 4.52669i | 0.0811749 | + | 0.355650i | ||||
\(163\) | −8.84481 | − | 11.0910i | −0.692779 | − | 0.868718i | 0.303682 | − | 0.952774i | \(-0.401784\pi\) |
−0.996461 | + | 0.0840557i | \(0.973213\pi\) | |||||||
\(164\) | −1.21983 | + | 5.34444i | −0.0952529 | + | 0.417330i | ||||
\(165\) | 3.18598 | 0.248028 | ||||||||
\(166\) | −22.1347 | −1.71798 | ||||||||
\(167\) | −2.10776 | + | 9.23470i | −0.163103 | + | 0.714603i | 0.825543 | + | 0.564340i | \(0.190869\pi\) |
−0.988646 | + | 0.150263i | \(0.951988\pi\) | |||||||
\(168\) | 1.78501 | − | 2.23833i | 0.137717 | − | 0.172691i | ||||
\(169\) | −26.8572 | − | 12.9337i | −2.06594 | − | 0.994903i | ||||
\(170\) | 13.1468 | − | 6.33114i | 1.00831 | − | 0.485576i | ||||
\(171\) | 6.42327 | 0.491200 | ||||||||
\(172\) | 7.48188 | + | 3.29920i | 0.570488 | + | 0.251561i | ||||
\(173\) | 4.76271 | 0.362102 | 0.181051 | − | 0.983474i | \(-0.442050\pi\) | ||||
0.181051 | + | 0.983474i | \(0.442050\pi\) | |||||||
\(174\) | −12.1468 | + | 5.84957i | −0.920843 | + | 0.443455i | ||||
\(175\) | −0.0745725 | − | 0.0359122i | −0.00563715 | − | 0.00271471i | ||||
\(176\) | 3.50149 | − | 4.39073i | 0.263935 | − | 0.330964i | ||||
\(177\) | 0.0440730 | − | 0.193096i | 0.00331273 | − | 0.0145140i | ||||
\(178\) | −19.1347 | −1.43420 | ||||||||
\(179\) | 1.64742 | 0.123134 | 0.0615668 | − | 0.998103i | \(-0.480390\pi\) | ||||
0.0615668 | + | 0.998103i | \(0.480390\pi\) | |||||||
\(180\) | 0.900969 | − | 3.94740i | 0.0671543 | − | 0.294222i | ||||
\(181\) | 1.41939 | + | 1.77985i | 0.105502 | + | 0.132296i | 0.831779 | − | 0.555106i | \(-0.187322\pi\) |
−0.726277 | + | 0.687402i | \(0.758751\pi\) | |||||||
\(182\) | 4.43900 | + | 19.4485i | 0.329041 | + | 1.44162i | ||||
\(183\) | 0.554958 | + | 0.695895i | 0.0410237 | + | 0.0514421i | ||||
\(184\) | −4.54019 | + | 2.18644i | −0.334707 | + | 0.161186i | ||||
\(185\) | −1.82640 | + | 8.00197i | −0.134279 | + | 0.588316i | ||||
\(186\) | 20.8986 | − | 10.0642i | 1.53236 | − | 0.737945i | ||||
\(187\) | 2.55496 | − | 3.20382i | 0.186837 | − | 0.234286i | ||||
\(188\) | 0.873822 | + | 3.82846i | 0.0637300 | + | 0.279219i | ||||
\(189\) | −2.08695 | − | 9.14352i | −0.151803 | − | 0.665093i | ||||
\(190\) | 16.2153 | + | 7.80887i | 1.17638 | + | 0.566515i | ||||
\(191\) | −9.37196 | + | 11.7521i | −0.678131 | + | 0.850350i | −0.995181 | − | 0.0980593i | \(-0.968737\pi\) |
0.317049 | + | 0.948409i | \(0.397308\pi\) | |||||||
\(192\) | 0.986426 | + | 1.23694i | 0.0711892 | + | 0.0892684i | ||||
\(193\) | −8.87531 | − | 4.27413i | −0.638859 | − | 0.307658i | 0.0862695 | − | 0.996272i | \(-0.472505\pi\) |
−0.725129 | + | 0.688614i | \(0.758220\pi\) | |||||||
\(194\) | −5.68814 | − | 2.73926i | −0.408384 | − | 0.196668i | ||||
\(195\) | 11.4303 | + | 14.3331i | 0.818539 | + | 1.02642i | ||||
\(196\) | −3.21648 | + | 4.03334i | −0.229749 | + | 0.288096i | ||||
\(197\) | −9.87531 | − | 4.75570i | −0.703587 | − | 0.338830i | 0.0476483 | − | 0.998864i | \(-0.484827\pi\) |
−0.751235 | + | 0.660035i | \(0.770542\pi\) | |||||||
\(198\) | −0.658834 | − | 2.88654i | −0.0468213 | − | 0.205137i | ||||
\(199\) | 5.41939 | + | 23.7439i | 0.384170 | + | 1.68316i | 0.684252 | + | 0.729246i | \(0.260129\pi\) |
−0.300082 | + | 0.953914i | \(0.597014\pi\) | |||||||
\(200\) | −0.0413846 | + | 0.0518946i | −0.00292633 | + | 0.00366951i | ||||
\(201\) | −2.35690 | + | 1.13502i | −0.166243 | + | 0.0800582i | ||||
\(202\) | −5.16152 | + | 22.6141i | −0.363163 | + | 1.59112i | ||||
\(203\) | 9.14675 | − | 4.40484i | 0.641976 | − | 0.309159i | ||||
\(204\) | 3.49396 | + | 4.38129i | 0.244626 | + | 0.306751i | ||||
\(205\) | −2.19806 | − | 9.63034i | −0.153519 | − | 0.672612i | ||||
\(206\) | 4.17241 | + | 5.23203i | 0.290705 | + | 0.364533i | ||||
\(207\) | −1.19418 | + | 5.23203i | −0.0830011 | + | 0.363651i | ||||
\(208\) | 32.3153 | 2.24066 | ||||||||
\(209\) | 5.05429 | 0.349613 | ||||||||
\(210\) | 1.90097 | − | 8.32869i | 0.131179 | − | 0.574734i | ||||
\(211\) | 6.42878 | − | 8.06144i | 0.442575 | − | 0.554972i | −0.509645 | − | 0.860385i | \(-0.670223\pi\) |
0.952220 | + | 0.305413i | \(0.0987945\pi\) | |||||||
\(212\) | −12.5233 | − | 6.03089i | −0.860101 | − | 0.414203i | ||||
\(213\) | −4.18598 | + | 2.01586i | −0.286819 | + | 0.138125i | ||||
\(214\) | 9.09783 | 0.621915 | ||||||||
\(215\) | −14.7262 | + | 0.493353i | −1.00432 | + | 0.0336464i | ||||
\(216\) | −7.52111 | −0.511746 | ||||||||
\(217\) | −15.7371 | + | 7.57857i | −1.06830 | + | 0.514467i | ||||
\(218\) | −3.53319 | − | 1.70149i | −0.239298 | − | 0.115240i | ||||
\(219\) | −1.11410 | + | 1.39703i | −0.0752837 | + | 0.0944027i | ||||
\(220\) | 0.708947 | − | 3.10610i | 0.0477972 | − | 0.209413i | ||||
\(221\) | 23.5797 | 1.58614 | ||||||||
\(222\) | −8.20775 | −0.550868 | ||||||||
\(223\) | −0.630490 | + | 2.76236i | −0.0422207 | + | 0.184981i | −0.991641 | − | 0.129027i | \(-0.958815\pi\) |
0.949420 | + | 0.314008i | \(0.101672\pi\) | |||||||
\(224\) | −6.52595 | − | 8.18328i | −0.436033 | − | 0.546769i | ||||
\(225\) | 0.0157295 | + | 0.0689153i | 0.00104863 | + | 0.00459435i | ||||
\(226\) | −13.1969 | − | 16.5483i | −0.877842 | − | 1.10078i | ||||
\(227\) | 11.7702 | − | 5.66825i | 0.781218 | − | 0.376215i | −0.000377606 | − | 1.00000i | \(-0.500120\pi\) |
0.781596 | + | 0.623785i | \(0.214406\pi\) | |||||||
\(228\) | −1.53803 | + | 6.73856i | −0.101859 | + | 0.446272i | ||||
\(229\) | 16.1419 | − | 7.77353i | 1.06669 | − | 0.513690i | 0.183650 | − | 0.982992i | \(-0.441209\pi\) |
0.883038 | + | 0.469302i | \(0.155495\pi\) | |||||||
\(230\) | −9.37531 | + | 11.7563i | −0.618190 | + | 0.775186i | ||||
\(231\) | −0.533852 | − | 2.33896i | −0.0351249 | − | 0.153892i | ||||
\(232\) | −1.81163 | − | 7.93725i | −0.118939 | − | 0.521106i | ||||
\(233\) | 8.41550 | + | 4.05269i | 0.551318 | + | 0.265501i | 0.688736 | − | 0.725012i | \(-0.258166\pi\) |
−0.137418 | + | 0.990513i | \(0.543880\pi\) | |||||||
\(234\) | 10.6223 | − | 13.3199i | 0.694401 | − | 0.870751i | ||||
\(235\) | −4.41185 | − | 5.53229i | −0.287798 | − | 0.360887i | ||||
\(236\) | −0.178448 | − | 0.0859360i | −0.0116160 | − | 0.00559396i | ||||
\(237\) | −0.0685317 | − | 0.0330031i | −0.00445161 | − | 0.00214378i | ||||
\(238\) | −6.85086 | − | 8.59070i | −0.444075 | − | 0.556852i | ||||
\(239\) | 4.51507 | − | 5.66171i | 0.292055 | − | 0.366226i | −0.614058 | − | 0.789261i | \(-0.710464\pi\) |
0.906113 | + | 0.423035i | \(0.139035\pi\) | |||||||
\(240\) | −12.4683 | − | 6.00442i | −0.804826 | − | 0.387584i | ||||
\(241\) | 0.0244587 | + | 0.107160i | 0.00157552 | + | 0.00690281i | 0.975710 | − | 0.219068i | \(-0.0703017\pi\) |
−0.974134 | + | 0.225971i | \(0.927445\pi\) | |||||||
\(242\) | 3.89224 | + | 17.0530i | 0.250203 | + | 1.09621i | ||||
\(243\) | −8.36443 | + | 10.4887i | −0.536578 | + | 0.672848i | ||||
\(244\) | 0.801938 | − | 0.386193i | 0.0513388 | − | 0.0247235i | ||||
\(245\) | 2.06853 | − | 9.06283i | 0.132154 | − | 0.579003i | ||||
\(246\) | 8.89977 | − | 4.28590i | 0.567429 | − | 0.273259i | ||||
\(247\) | 18.1332 | + | 22.7383i | 1.15379 | + | 1.44680i | ||||
\(248\) | 3.11692 | + | 13.6561i | 0.197924 | + | 0.867163i | ||||
\(249\) | 9.55041 | + | 11.9758i | 0.605233 | + | 0.758938i | ||||
\(250\) | 4.46077 | − | 19.5439i | 0.282124 | − | 1.23607i | ||||
\(251\) | −27.8974 | −1.76087 | −0.880433 | − | 0.474170i | \(-0.842748\pi\) | ||||
−0.880433 | + | 0.474170i | \(0.842748\pi\) | |||||||
\(252\) | −3.04892 | −0.192064 | ||||||||
\(253\) | −0.939665 | + | 4.11694i | −0.0590762 | + | 0.258830i | ||||
\(254\) | −22.7201 | + | 28.4901i | −1.42559 | + | 1.78763i | ||||
\(255\) | −9.09783 | − | 4.38129i | −0.569729 | − | 0.274367i | ||||
\(256\) | −18.6603 | + | 8.98634i | −1.16627 | + | 0.561646i | ||||
\(257\) | −2.66487 | −0.166230 | −0.0831151 | − | 0.996540i | \(-0.526487\pi\) | ||||
−0.0831151 | + | 0.996540i | \(0.526487\pi\) | |||||||
\(258\) | −3.75786 | − | 14.2472i | −0.233954 | − | 0.886990i | ||||
\(259\) | 6.18060 | 0.384044 | ||||||||
\(260\) | 16.5172 | − | 7.95427i | 1.02435 | − | 0.493303i | ||||
\(261\) | −7.81163 | − | 3.76188i | −0.483528 | − | 0.232855i | ||||
\(262\) | 2.31282 | − | 2.90019i | 0.142887 | − | 0.179174i | ||||
\(263\) | 5.37047 | − | 23.5296i | 0.331157 | − | 1.45090i | −0.485736 | − | 0.874106i | \(-0.661448\pi\) |
0.816893 | − | 0.576789i | \(-0.195695\pi\) | |||||||
\(264\) | −1.92394 | −0.118410 | ||||||||
\(265\) | 25.0465 | 1.53860 | ||||||||
\(266\) | 3.01573 | − | 13.2128i | 0.184906 | − | 0.810127i | ||||
\(267\) | 8.25600 | + | 10.3527i | 0.505259 | + | 0.633575i | ||||
\(268\) | 0.582105 | + | 2.55037i | 0.0355577 | + | 0.155789i | ||||
\(269\) | 18.7989 | + | 23.5731i | 1.14619 | + | 1.43727i | 0.881024 | + | 0.473071i | \(0.156855\pi\) |
0.265164 | + | 0.964203i | \(0.414574\pi\) | |||||||
\(270\) | −20.2201 | + | 9.73750i | −1.23056 | + | 0.592605i | ||||
\(271\) | 3.04676 | − | 13.3487i | 0.185078 | − | 0.810878i | −0.794086 | − | 0.607805i | \(-0.792050\pi\) |
0.979164 | − | 0.203073i | \(-0.0650927\pi\) | |||||||
\(272\) | −16.0368 | + | 7.72293i | −0.972376 | + | 0.468272i | ||||
\(273\) | 8.60723 | − | 10.7931i | 0.520933 | − | 0.653229i | ||||
\(274\) | −6.25571 | − | 27.4081i | −0.377921 | − | 1.65578i | ||||
\(275\) | 0.0123771 | + | 0.0542276i | 0.000746366 | + | 0.00327004i | ||||
\(276\) | −5.20291 | − | 2.50559i | −0.313178 | − | 0.150819i | ||||
\(277\) | −11.5809 | + | 14.5220i | −0.695829 | + | 0.872542i | −0.996704 | − | 0.0811212i | \(-0.974150\pi\) |
0.300875 | + | 0.953664i | \(0.402721\pi\) | |||||||
\(278\) | −7.94989 | − | 9.96884i | −0.476802 | − | 0.597891i | ||||
\(279\) | 13.4400 | + | 6.47234i | 0.804629 | + | 0.387489i | ||||
\(280\) | 4.64795 | + | 2.23833i | 0.277768 | + | 0.133766i | ||||
\(281\) | −1.69351 | − | 2.12360i | −0.101027 | − | 0.126683i | 0.728748 | − | 0.684782i | \(-0.240103\pi\) |
−0.829775 | + | 0.558099i | \(0.811531\pi\) | |||||||
\(282\) | 4.41185 | − | 5.53229i | 0.262722 | − | 0.329443i | ||||
\(283\) | −15.3274 | − | 7.38127i | −0.911117 | − | 0.438771i | −0.0812254 | − | 0.996696i | \(-0.525883\pi\) |
−0.829891 | + | 0.557925i | \(0.811598\pi\) | |||||||
\(284\) | 1.03385 | + | 4.52960i | 0.0613478 | + | 0.268782i | ||||
\(285\) | −2.77144 | − | 12.1425i | −0.164166 | − | 0.719258i | ||||
\(286\) | 8.35839 | − | 10.4811i | 0.494242 | − | 0.619760i | ||||
\(287\) | −6.70171 | + | 3.22737i | −0.395589 | + | 0.190506i | ||||
\(288\) | −1.98911 | + | 8.71488i | −0.117210 | + | 0.513529i | ||||
\(289\) | 3.61476 | − | 1.74078i | 0.212633 | − | 0.102399i | ||||
\(290\) | −15.1468 | − | 18.9934i | −0.889448 | − | 1.11533i | ||||
\(291\) | 0.972189 | + | 4.25944i | 0.0569907 | + | 0.249693i | ||||
\(292\) | 1.11410 | + | 1.39703i | 0.0651976 | + | 0.0817552i | ||||
\(293\) | 2.45473 | − | 10.7549i | 0.143407 | − | 0.628307i | −0.851222 | − | 0.524805i | \(-0.824138\pi\) |
0.994629 | − | 0.103502i | \(-0.0330047\pi\) | |||||||
\(294\) | 9.29590 | 0.542148 | ||||||||
\(295\) | 0.356896 | 0.0207793 | ||||||||
\(296\) | 1.10292 | − | 4.83219i | 0.0641057 | − | 0.280865i | ||||
\(297\) | −3.92961 | + | 4.92757i | −0.228019 | + | 0.285927i | ||||
\(298\) | 9.41939 | + | 4.53614i | 0.545650 | + | 0.262771i | ||||
\(299\) | −21.8925 | + | 10.5429i | −1.26608 | + | 0.609711i | ||||
\(300\) | −0.0760644 | −0.00439158 | ||||||||
\(301\) | 2.82975 | + | 10.7284i | 0.163104 | + | 0.618375i | ||||
\(302\) | 13.4233 | 0.772422 | ||||||||
\(303\) | 14.4623 | − | 6.96466i | 0.830835 | − | 0.400109i | ||||
\(304\) | −19.7799 | − | 9.52551i | −1.13446 | − | 0.546326i | ||||
\(305\) | −1.00000 | + | 1.25396i | −0.0572598 | + | 0.0718016i | ||||
\(306\) | −2.08815 | + | 9.14877i | −0.119371 | + | 0.523000i | ||||
\(307\) | 15.7952 | 0.901482 | 0.450741 | − | 0.892655i | \(-0.351160\pi\) | ||||
0.450741 | + | 0.892655i | \(0.351160\pi\) | |||||||
\(308\) | −2.39911 | −0.136702 | ||||||||
\(309\) | 1.03050 | − | 4.51491i | 0.0586231 | − | 0.256844i | ||||
\(310\) | 26.0601 | + | 32.6783i | 1.48011 | + | 1.85600i | ||||
\(311\) | 2.75182 | + | 12.0565i | 0.156042 | + | 0.683663i | 0.991057 | + | 0.133437i | \(0.0426013\pi\) |
−0.835016 | + | 0.550226i | \(0.814542\pi\) | |||||||
\(312\) | −6.90246 | − | 8.65541i | −0.390775 | − | 0.490016i | ||||
\(313\) | 5.25667 | − | 2.53148i | 0.297124 | − | 0.143088i | −0.279382 | − | 0.960180i | \(-0.590130\pi\) |
0.576507 | + | 0.817092i | \(0.304415\pi\) | |||||||
\(314\) | −5.29805 | + | 23.2123i | −0.298986 | + | 1.30995i | ||||
\(315\) | 4.94989 | − | 2.38374i | 0.278894 | − | 0.134309i | ||||
\(316\) | −0.0474254 | + | 0.0594696i | −0.00266789 | + | 0.00334542i | ||||
\(317\) | −5.82304 | − | 25.5124i | −0.327055 | − | 1.43292i | −0.824715 | − | 0.565548i | \(-0.808665\pi\) |
0.497660 | − | 0.867372i | \(-0.334193\pi\) | |||||||
\(318\) | 5.57338 | + | 24.4186i | 0.312539 | + | 1.36932i | ||||
\(319\) | −6.14675 | − | 2.96012i | −0.344152 | − | 0.165735i | ||||
\(320\) | −1.77748 | + | 2.22889i | −0.0993641 | + | 0.124599i | ||||
\(321\) | −3.92543 | − | 4.92233i | −0.219096 | − | 0.274738i | ||||
\(322\) | 10.2017 | + | 4.91288i | 0.568519 | + | 0.273784i | ||||
\(323\) | −14.4330 | − | 6.95055i | −0.803071 | − | 0.386739i | ||||
\(324\) | −2.00335 | − | 2.51212i | −0.111297 | − | 0.139562i | ||||
\(325\) | −0.199554 | + | 0.250233i | −0.0110693 | + | 0.0138804i | ||||
\(326\) | 23.0308 | + | 11.0910i | 1.27556 | + | 0.614276i | ||||
\(327\) | 0.603875 | + | 2.64575i | 0.0333944 | + | 0.146310i | ||||
\(328\) | 1.32736 | + | 5.81553i | 0.0732910 | + | 0.321109i | ||||
\(329\) | −3.32222 | + | 4.16593i | −0.183160 | + | 0.229675i | ||||
\(330\) | −5.17241 | + | 2.49090i | −0.284732 | + | 0.137120i | ||||
\(331\) | −4.06465 | + | 17.8084i | −0.223413 | + | 0.978837i | 0.731474 | + | 0.681869i | \(0.238833\pi\) |
−0.954887 | + | 0.296968i | \(0.904025\pi\) | |||||||
\(332\) | 13.8007 | − | 6.64609i | 0.757414 | − | 0.364751i | ||||
\(333\) | −3.29105 | − | 4.12685i | −0.180349 | − | 0.226150i | ||||
\(334\) | −3.79805 | − | 16.6404i | −0.207820 | − | 0.910520i | ||||
\(335\) | −2.93900 | − | 3.68539i | −0.160575 | − | 0.201354i | ||||
\(336\) | −2.31886 | + | 10.1596i | −0.126504 | + | 0.554252i | ||||
\(337\) | −7.09113 | −0.386278 | −0.193139 | − | 0.981171i | \(-0.561867\pi\) | ||||
−0.193139 | + | 0.981171i | \(0.561867\pi\) | |||||||
\(338\) | 53.7144 | 2.92168 | ||||||||
\(339\) | −3.25936 | + | 14.2802i | −0.177024 | + | 0.775593i | ||||
\(340\) | −6.29590 | + | 7.89481i | −0.341443 | + | 0.428156i | ||||
\(341\) | 10.5755 | + | 5.09291i | 0.572697 | + | 0.275796i | ||||
\(342\) | −10.4281 | + | 5.02192i | −0.563888 | + | 0.271554i | ||||
\(343\) | −18.8442 | −1.01749 | ||||||||
\(344\) | 8.89277 | − | 0.297924i | 0.479466 | − | 0.0160630i | ||||
\(345\) | 10.4058 | 0.560230 | ||||||||
\(346\) | −7.73221 | + | 3.72364i | −0.415686 | + | 0.200184i | ||||
\(347\) | 2.89612 | + | 1.39470i | 0.155472 | + | 0.0748714i | 0.510002 | − | 0.860173i | \(-0.329645\pi\) |
−0.354530 | + | 0.935045i | \(0.615359\pi\) | |||||||
\(348\) | 5.81700 | − | 7.29429i | 0.311824 | − | 0.391015i | ||||
\(349\) | −6.08599 | + | 26.6645i | −0.325776 | + | 1.42732i | 0.501324 | + | 0.865260i | \(0.332847\pi\) |
−0.827099 | + | 0.562056i | \(0.810010\pi\) | |||||||
\(350\) | 0.149145 | 0.00797213 | ||||||||
\(351\) | −36.2664 | −1.93575 | ||||||||
\(352\) | −1.56518 | + | 6.85750i | −0.0834243 | + | 0.365506i | ||||
\(353\) | −14.4013 | − | 18.0586i | −0.766502 | − | 0.961163i | 0.233435 | − | 0.972372i | \(-0.425003\pi\) |
−0.999937 | + | 0.0112093i | \(0.996432\pi\) | |||||||
\(354\) | 0.0794168 | + | 0.347948i | 0.00422096 | + | 0.0184932i | ||||
\(355\) | −5.21983 | − | 6.54546i | −0.277040 | − | 0.347397i | ||||
\(356\) | 11.9303 | − | 5.74532i | 0.632303 | − | 0.304501i | ||||
\(357\) | −1.69202 | + | 7.41323i | −0.0895513 | + | 0.392350i | ||||
\(358\) | −2.67456 | + | 1.28800i | −0.141355 | + | 0.0680730i | ||||
\(359\) | −0.158834 | + | 0.199171i | −0.00838292 | + | 0.0105118i | −0.786005 | − | 0.618220i | \(-0.787854\pi\) |
0.777622 | + | 0.628732i | \(0.216426\pi\) | |||||||
\(360\) | −0.980386 | − | 4.29535i | −0.0516709 | − | 0.226385i | ||||
\(361\) | −0.168759 | − | 0.739383i | −0.00888207 | − | 0.0389149i | ||||
\(362\) | −3.69591 | − | 1.77985i | −0.194253 | − | 0.0935471i | ||||
\(363\) | 7.54706 | − | 9.46371i | 0.396118 | − | 0.496716i | ||||
\(364\) | −8.60723 | − | 10.7931i | −0.451141 | − | 0.565713i | ||||
\(365\) | −2.90097 | − | 1.39703i | −0.151844 | − | 0.0731240i | ||||
\(366\) | −1.44504 | − | 0.695895i | −0.0755335 | − | 0.0363750i | ||||
\(367\) | −9.23341 | − | 11.5783i | −0.481980 | − | 0.604384i | 0.480079 | − | 0.877225i | \(-0.340608\pi\) |
−0.962059 | + | 0.272842i | \(0.912037\pi\) | |||||||
\(368\) | 11.4363 | − | 14.3407i | 0.596159 | − | 0.747560i | ||||
\(369\) | 5.72348 | + | 2.75628i | 0.297952 | + | 0.143486i | ||||
\(370\) | −3.29105 | − | 14.4190i | −0.171094 | − | 0.749610i | ||||
\(371\) | −4.19687 | − | 18.3877i | −0.217890 | − | 0.954640i | ||||
\(372\) | −10.0082 | + | 12.5499i | −0.518901 | + | 0.650681i | ||||
\(373\) | −20.2467 | + | 9.75032i | −1.04834 | + | 0.504852i | −0.877065 | − | 0.480372i | \(-0.840502\pi\) |
−0.171272 | + | 0.985224i | \(0.554788\pi\) | |||||||
\(374\) | −1.64310 | + | 7.19891i | −0.0849629 | + | 0.372247i | ||||
\(375\) | −12.4988 | + | 6.01911i | −0.645435 | + | 0.310825i | ||||
\(376\) | 2.66421 | + | 3.34081i | 0.137396 | + | 0.172289i | ||||
\(377\) | −8.73556 | − | 38.2730i | −0.449904 | − | 1.97116i | ||||
\(378\) | 10.5368 | + | 13.2128i | 0.541956 | + | 0.679592i | ||||
\(379\) | 5.79686 | − | 25.3977i | 0.297765 | − | 1.30459i | −0.575683 | − | 0.817673i | \(-0.695264\pi\) |
0.873447 | − | 0.486919i | \(-0.161879\pi\) | |||||||
\(380\) | −12.4547 | −0.638914 | ||||||||
\(381\) | 25.2174 | 1.29193 | ||||||||
\(382\) | 6.02715 | − | 26.4067i | 0.308376 | − | 1.35108i | ||||
\(383\) | 7.69418 | − | 9.64819i | 0.393154 | − | 0.493000i | −0.545379 | − | 0.838190i | \(-0.683614\pi\) |
0.938533 | + | 0.345190i | \(0.112186\pi\) | |||||||
\(384\) | 11.3312 | + | 5.45684i | 0.578245 | + | 0.278468i | ||||
\(385\) | 3.89493 | − | 1.87570i | 0.198504 | − | 0.0955944i | ||||
\(386\) | 17.7506 | 0.903483 | ||||||||
\(387\) | 5.65668 | − | 7.60212i | 0.287545 | − | 0.386438i | ||||
\(388\) | 4.36898 | 0.221801 | ||||||||
\(389\) | 17.9417 | − | 8.64026i | 0.909680 | − | 0.438079i | 0.0803044 | − | 0.996770i | \(-0.474411\pi\) |
0.829375 | + | 0.558692i | \(0.188696\pi\) | |||||||
\(390\) | −29.7630 | − | 14.3331i | −1.50711 | − | 0.725785i | ||||
\(391\) | 8.34481 | − | 10.4641i | 0.422015 | − | 0.529191i | ||||
\(392\) | −1.24914 | + | 5.47282i | −0.0630909 | + | 0.276419i | ||||
\(393\) | −2.56704 | −0.129490 | ||||||||
\(394\) | 19.7506 | 0.995022 | ||||||||
\(395\) | 0.0304995 | − | 0.133627i | 0.00153459 | − | 0.00672350i | ||||
\(396\) | 1.27748 | + | 1.60191i | 0.0641957 | + | 0.0804989i | ||||
\(397\) | −2.03050 | − | 8.89620i | −0.101908 | − | 0.446487i | −0.999978 | − | 0.00663518i | \(-0.997888\pi\) |
0.898070 | − | 0.439852i | \(-0.144969\pi\) | |||||||
\(398\) | −27.3620 | − | 34.3109i | −1.37153 | − | 1.71985i | ||||
\(399\) | −8.44989 | + | 4.06925i | −0.423023 | + | 0.203717i | ||||
\(400\) | 0.0537617 | − | 0.235545i | 0.00268808 | − | 0.0117773i | ||||
\(401\) | −0.0392287 | + | 0.0188915i | −0.00195899 | + | 0.000943398i | −0.434863 | − | 0.900497i | \(-0.643203\pi\) |
0.432904 | + | 0.901440i | \(0.357489\pi\) | |||||||
\(402\) | 2.93900 | − | 3.68539i | 0.146584 | − | 0.183811i | ||||
\(403\) | 15.0296 | + | 65.8490i | 0.748678 | + | 3.28017i | ||||
\(404\) | −3.57188 | − | 15.6494i | −0.177708 | − | 0.778589i | ||||
\(405\) | 5.21648 | + | 2.51212i | 0.259209 | + | 0.124828i | ||||
\(406\) | −11.4058 | + | 14.3024i | −0.566061 | + | 0.709818i | ||||
\(407\) | −2.58964 | − | 3.24730i | −0.128364 | − | 0.160963i | ||||
\(408\) | 5.49396 | + | 2.64575i | 0.271992 | + | 0.130984i | ||||
\(409\) | 9.62833 | + | 4.63676i | 0.476090 | + | 0.229273i | 0.656511 | − | 0.754316i | \(-0.272032\pi\) |
−0.180420 | + | 0.983590i | \(0.557746\pi\) | |||||||
\(410\) | 11.0978 | + | 13.9162i | 0.548083 | + | 0.687274i | ||||
\(411\) | −12.1298 | + | 15.2103i | −0.598320 | + | 0.750270i | ||||
\(412\) | −4.17241 | − | 2.00933i | −0.205560 | − | 0.0989924i | ||||
\(413\) | −0.0598025 | − | 0.262012i | −0.00294269 | − | 0.0128928i | ||||
\(414\) | −2.15183 | − | 9.42780i | −0.105757 | − | 0.463351i | ||||
\(415\) | −17.2092 | + | 21.5797i | −0.844769 | + | 1.05931i | ||||
\(416\) | −36.4659 | + | 17.5611i | −1.78789 | + | 0.861002i | ||||
\(417\) | −1.96346 | + | 8.60248i | −0.0961510 | + | 0.421265i | ||||
\(418\) | −8.20560 | + | 3.95161i | −0.401349 | + | 0.193279i | ||||
\(419\) | −4.60202 | − | 5.77074i | −0.224823 | − | 0.281919i | 0.656608 | − | 0.754232i | \(-0.271991\pi\) |
−0.881431 | + | 0.472313i | \(0.843419\pi\) | |||||||
\(420\) | 1.31551 | + | 5.76363i | 0.0641904 | + | 0.281236i | ||||
\(421\) | 6.10537 | + | 7.65589i | 0.297557 | + | 0.373125i | 0.908025 | − | 0.418916i | \(-0.137590\pi\) |
−0.610468 | + | 0.792041i | \(0.709018\pi\) | |||||||
\(422\) | −4.13437 | + | 18.1139i | −0.201258 | + | 0.881770i | ||||
\(423\) | 4.55065 | 0.221260 | ||||||||
\(424\) | −15.1250 | −0.734534 | ||||||||
\(425\) | 0.0392287 | − | 0.171872i | 0.00190287 | − | 0.00833702i | ||||
\(426\) | 5.21983 | − | 6.54546i | 0.252902 | − | 0.317129i | ||||
\(427\) | 1.08815 | + | 0.524023i | 0.0526591 | + | 0.0253593i | ||||
\(428\) | −5.67241 | + | 2.73169i | −0.274186 | + | 0.132041i | ||||
\(429\) | −9.27711 | −0.447903 | ||||||||
\(430\) | 23.5221 | − | 12.3143i | 1.13433 | − | 0.593850i | ||||
\(431\) | 27.3297 | 1.31643 | 0.658214 | − | 0.752831i | \(-0.271312\pi\) | ||||
0.658214 | + | 0.752831i | \(0.271312\pi\) | |||||||
\(432\) | 24.6652 | − | 11.8781i | 1.18670 | − | 0.571486i | ||||
\(433\) | 2.50269 | + | 1.20523i | 0.120272 | + | 0.0579197i | 0.493052 | − | 0.870000i | \(-0.335881\pi\) |
−0.372780 | + | 0.927920i | \(0.621596\pi\) | |||||||
\(434\) | 19.6238 | − | 24.6074i | 0.941972 | − | 1.18120i | ||||
\(435\) | −3.74094 | + | 16.3901i | −0.179364 | + | 0.785846i | ||||
\(436\) | 2.71379 | 0.129967 | ||||||||
\(437\) | 16.5080 | 0.789683 | ||||||||
\(438\) | 0.716480 | − | 3.13910i | 0.0342347 | − | 0.149992i | ||||
\(439\) | 5.97434 | + | 7.49159i | 0.285140 | + | 0.357554i | 0.903687 | − | 0.428194i | \(-0.140850\pi\) |
−0.618547 | + | 0.785748i | \(0.712278\pi\) | |||||||
\(440\) | −0.771438 | − | 3.37989i | −0.0367769 | − | 0.161130i | ||||
\(441\) | 3.72737 | + | 4.67397i | 0.177494 | + | 0.222570i | ||||
\(442\) | −38.2814 | + | 18.4354i | −1.82086 | + | 0.876881i | ||||
\(443\) | −5.29052 | + | 23.1793i | −0.251360 | + | 1.10128i | 0.678857 | + | 0.734271i | \(0.262476\pi\) |
−0.930217 | + | 0.367010i | \(0.880381\pi\) | |||||||
\(444\) | 5.11745 | − | 2.46443i | 0.242863 | − | 0.116957i | ||||
\(445\) | −14.8768 | + | 18.6549i | −0.705228 | + | 0.884328i | ||||
\(446\) | −1.13610 | − | 4.97760i | −0.0537961 | − | 0.235696i | ||||
\(447\) | −1.60992 | − | 7.05350i | −0.0761464 | − | 0.333619i | ||||
\(448\) | 1.93416 | + | 0.931441i | 0.0913803 | + | 0.0440064i | ||||
\(449\) | −11.4412 | + | 14.3468i | −0.539942 | + | 0.677065i | −0.974709 | − | 0.223477i | \(-0.928259\pi\) |
0.434768 | + | 0.900543i | \(0.356831\pi\) | |||||||
\(450\) | −0.0794168 | − | 0.0995855i | −0.00374374 | − | 0.00469451i | ||||
\(451\) | 4.50365 | + | 2.16884i | 0.212068 | + | 0.102127i | ||||
\(452\) | 13.1969 | + | 6.35528i | 0.620728 | + | 0.298927i | ||||
\(453\) | −5.79172 | − | 7.26258i | −0.272119 | − | 0.341226i | ||||
\(454\) | −14.6773 | + | 18.4047i | −0.688838 | + | 0.863775i | ||||
\(455\) | 22.4121 | + | 10.7931i | 1.05070 | + | 0.505989i | ||||
\(456\) | 1.67360 | + | 7.33254i | 0.0783737 | + | 0.343377i | ||||
\(457\) | −8.85892 | − | 38.8135i | −0.414403 | − | 1.81562i | −0.562684 | − | 0.826672i | \(-0.690231\pi\) |
0.148281 | − | 0.988945i | \(-0.452626\pi\) | |||||||
\(458\) | −20.1286 | + | 25.2405i | −0.940549 | + | 1.17941i | ||||
\(459\) | 17.9976 | − | 8.66719i | 0.840056 | − | 0.404550i | ||||
\(460\) | 2.31551 | − | 10.1449i | 0.107961 | − | 0.473009i | ||||
\(461\) | 17.3257 | − | 8.34363i | 0.806940 | − | 0.388602i | 0.0155237 | − | 0.999880i | \(-0.495058\pi\) |
0.791416 | + | 0.611278i | \(0.209344\pi\) | |||||||
\(462\) | 2.69537 | + | 3.37989i | 0.125400 | + | 0.157247i | ||||
\(463\) | −3.32855 | − | 14.5833i | −0.154691 | − | 0.677745i | −0.991484 | − | 0.130226i | \(-0.958430\pi\) |
0.836793 | − | 0.547519i | \(-0.184428\pi\) | |||||||
\(464\) | 18.4765 | + | 23.1688i | 0.857750 | + | 1.07558i | ||||
\(465\) | 6.43631 | − | 28.1993i | 0.298477 | − | 1.30771i | ||||
\(466\) | −16.8310 | −0.779681 | ||||||||
\(467\) | 25.7904 | 1.19344 | 0.596720 | − | 0.802450i | \(-0.296470\pi\) | ||||
0.596720 | + | 0.802450i | \(0.296470\pi\) | |||||||
\(468\) | −2.62349 | + | 11.4943i | −0.121271 | + | 0.531322i | ||||
\(469\) | −2.21313 | + | 2.77517i | −0.102193 | + | 0.128146i | ||||
\(470\) | 11.4879 | + | 5.53229i | 0.529898 | + | 0.255186i | ||||
\(471\) | 14.8448 | − | 7.14889i | 0.684013 | − | 0.329403i | ||||
\(472\) | −0.215521 | −0.00992014 | ||||||||
\(473\) | 4.45108 | − | 5.98190i | 0.204661 | − | 0.275048i | ||||
\(474\) | 0.137063 | 0.00629553 | ||||||||
\(475\) | 0.195906 | − | 0.0943435i | 0.00898880 | − | 0.00432878i | ||||
\(476\) | 6.85086 | + | 3.29920i | 0.314008 | + | 0.151218i | ||||
\(477\) | −10.0429 | + | 12.5934i | −0.459832 | + | 0.576611i | ||||
\(478\) | −2.90366 | + | 12.7218i | −0.132810 | + | 0.581879i | ||||
\(479\) | −29.7157 | −1.35775 | −0.678873 | − | 0.734256i | \(-0.737531\pi\) | ||||
−0.678873 | + | 0.734256i | \(0.737531\pi\) | |||||||
\(480\) | 17.3327 | 0.791127 | ||||||||
\(481\) | 5.31820 | − | 23.3006i | 0.242489 | − | 1.06241i | ||||
\(482\) | −0.123490 | − | 0.154851i | −0.00562481 | − | 0.00705328i | ||||
\(483\) | −1.74363 | − | 7.63933i | −0.0793378 | − | 0.347602i | ||||
\(484\) | −7.54706 | − | 9.46371i | −0.343048 | − | 0.430169i | ||||
\(485\) | −7.09299 | + | 3.41580i | −0.322076 | + | 0.155104i | ||||
\(486\) | 5.37920 | − | 23.5678i | 0.244005 | − | 1.06906i | ||||
\(487\) | −1.37047 | + | 0.659983i | −0.0621019 | + | 0.0299067i | −0.464677 | − | 0.885480i | \(-0.653830\pi\) |
0.402575 | + | 0.915387i | \(0.368115\pi\) | |||||||
\(488\) | 0.603875 | − | 0.757236i | 0.0273362 | − | 0.0342785i | ||||
\(489\) | −3.93631 | − | 17.2461i | −0.178006 | − | 0.779896i | ||||
\(490\) | 3.72737 | + | 16.3307i | 0.168385 | + | 0.737744i | ||||
\(491\) | −25.8245 | − | 12.4364i | −1.16544 | − | 0.561249i | −0.251807 | − | 0.967777i | \(-0.581025\pi\) |
−0.913638 | + | 0.406529i | \(0.866739\pi\) | |||||||
\(492\) | −4.26205 | + | 5.34444i | −0.192148 | + | 0.240946i | ||||
\(493\) | 13.4819 | + | 16.9057i | 0.607193 | + | 0.761396i | ||||
\(494\) | −47.2165 | − | 22.7383i | −2.12437 | − | 1.02304i | ||||
\(495\) | −3.32640 | − | 1.60191i | −0.149510 | − | 0.0720004i | ||||
\(496\) | −31.7890 | − | 39.8621i | −1.42737 | − | 1.78986i | ||||
\(497\) | −3.93064 | + | 4.92887i | −0.176313 | + | 0.221090i | ||||
\(498\) | −24.8681 | − | 11.9758i | −1.11437 | − | 0.536650i | ||||
\(499\) | 4.63198 | + | 20.2940i | 0.207356 | + | 0.908486i | 0.966318 | + | 0.257351i | \(0.0828497\pi\) |
−0.758962 | + | 0.651135i | \(0.774293\pi\) | |||||||
\(500\) | 3.08695 | + | 13.5248i | 0.138053 | + | 0.604848i | ||||
\(501\) | −7.36443 | + | 9.23470i | −0.329018 | + | 0.412576i | ||||
\(502\) | 45.2911 | − | 21.8110i | 2.02144 | − | 0.973475i | ||||
\(503\) | −0.812396 | + | 3.55934i | −0.0362229 | + | 0.158703i | −0.989805 | − | 0.142431i | \(-0.954508\pi\) |
0.953582 | + | 0.301134i | \(0.0973652\pi\) | |||||||
\(504\) | −2.98911 | + | 1.43948i | −0.133146 | + | 0.0641196i | ||||
\(505\) | 18.0341 | + | 22.6141i | 0.802509 | + | 1.00631i | ||||
\(506\) | −1.69322 | − | 7.41847i | −0.0752727 | − | 0.329791i | ||||
\(507\) | −23.1761 | − | 29.0619i | −1.02928 | − | 1.29068i | ||||
\(508\) | 5.61141 | − | 24.5852i | 0.248966 | − | 1.09079i | ||||
\(509\) | −6.27114 | −0.277964 | −0.138982 | − | 0.990295i | \(-0.544383\pi\) | ||||
−0.138982 | + | 0.990295i | \(0.544383\pi\) | |||||||
\(510\) | 18.1957 | 0.805718 | ||||||||
\(511\) | −0.539524 | + | 2.36381i | −0.0238671 | + | 0.104569i | ||||
\(512\) | 10.6923 | − | 13.4077i | 0.472538 | − | 0.592544i | ||||
\(513\) | 22.1984 | + | 10.6902i | 0.980081 | + | 0.471982i | ||||
\(514\) | 4.32640 | − | 2.08348i | 0.190829 | − | 0.0918985i | ||||
\(515\) | 8.34481 | 0.367716 | ||||||||
\(516\) | 6.62080 | + | 7.75464i | 0.291465 | + | 0.341379i | ||||
\(517\) | 3.58078 | 0.157482 | ||||||||
\(518\) | −10.0341 | + | 4.83219i | −0.440875 | + | 0.212314i | ||||
\(519\) | 5.35086 | + | 2.57684i | 0.234876 | + | 0.113111i | ||||
\(520\) | 12.4378 | − | 15.5965i | 0.545434 | − | 0.683952i | ||||
\(521\) | 0.0286390 | − | 0.125476i | 0.00125470 | − | 0.00549719i | −0.974297 | − | 0.225269i | \(-0.927674\pi\) |
0.975551 | + | 0.219771i | \(0.0705312\pi\) | |||||||
\(522\) | 15.6233 | 0.683811 | ||||||||
\(523\) | −21.6209 | −0.945414 | −0.472707 | − | 0.881220i | \(-0.656723\pi\) | ||||
−0.472707 | + | 0.881220i | \(0.656723\pi\) | |||||||
\(524\) | −0.571220 | + | 2.50268i | −0.0249539 | + | 0.109330i | ||||
\(525\) | −0.0643513 | − | 0.0806940i | −0.00280852 | − | 0.00352177i | ||||
\(526\) | 9.67725 | + | 42.3988i | 0.421948 | + | 1.84868i | ||||
\(527\) | −23.1957 | − | 29.0864i | −1.01042 | − | 1.26703i | ||||
\(528\) | 6.30947 | − | 3.03848i | 0.274584 | − | 0.132233i | ||||
\(529\) | 2.04892 | − | 8.97689i | 0.0890834 | − | 0.390300i | ||||
\(530\) | −40.6628 | + | 19.5822i | −1.76628 | + | 0.850595i | ||||
\(531\) | −0.143104 | + | 0.179447i | −0.00621019 | + | 0.00778733i | ||||
\(532\) | 2.08695 | + | 9.14352i | 0.0904807 | + | 0.396422i | ||||
\(533\) | 6.40044 | + | 28.0421i | 0.277234 | + | 1.21464i | ||||
\(534\) | −21.4976 | − | 10.3527i | −0.930292 | − | 0.448005i | ||||
\(535\) | 7.07338 | − | 8.86973i | 0.305809 | − | 0.383472i | ||||
\(536\) | 1.77479 | + | 2.22552i | 0.0766593 | + | 0.0961277i | ||||
\(537\) | 1.85086 | + | 0.891325i | 0.0798703 | + | 0.0384635i | ||||
\(538\) | −48.9499 | − | 23.5731i | −2.11038 | − | 1.01631i | ||||
\(539\) | 2.93296 | + | 3.67782i | 0.126332 | + | 0.158415i | ||||
\(540\) | 9.68329 | − | 12.1425i | 0.416703 | − | 0.522528i | ||||
\(541\) | −12.6603 | − | 6.09689i | −0.544310 | − | 0.262126i | 0.141460 | − | 0.989944i | \(-0.454820\pi\) |
−0.685770 | + | 0.727818i | \(0.740535\pi\) | |||||||
\(542\) | 5.49007 | + | 24.0536i | 0.235819 | + | 1.03319i | ||||
\(543\) | 0.631687 | + | 2.76760i | 0.0271083 | + | 0.118769i | ||||
\(544\) | 13.8998 | − | 17.4298i | 0.595948 | − | 0.747295i | ||||
\(545\) | −4.40581 | + | 2.12173i | −0.188724 | + | 0.0908848i | ||||
\(546\) | −5.53534 | + | 24.2519i | −0.236891 | + | 1.03789i | ||||
\(547\) | 30.3913 | − | 14.6357i | 1.29944 | − | 0.625777i | 0.349127 | − | 0.937075i | \(-0.386478\pi\) |
0.950312 | + | 0.311298i | \(0.100764\pi\) | |||||||
\(548\) | 12.1298 | + | 15.2103i | 0.518160 | + | 0.649753i | ||||
\(549\) | −0.229521 | − | 1.00560i | −0.00979573 | − | 0.0429179i | ||||
\(550\) | −0.0624909 | − | 0.0783611i | −0.00266462 | − | 0.00334133i | ||||
\(551\) | −5.93469 | + | 26.0016i | −0.252826 | + | 1.10770i | ||||
\(552\) | −6.28382 | −0.267457 | ||||||||
\(553\) | −0.103211 | −0.00438900 | ||||||||
\(554\) | 7.44773 | − | 32.6306i | 0.316424 | − | 1.38634i | ||||
\(555\) | −6.38135 | + | 8.00197i | −0.270873 | + | 0.339665i | ||||
\(556\) | 7.94989 | + | 3.82846i | 0.337150 | + | 0.162363i | ||||
\(557\) | −22.9376 | + | 11.0462i | −0.971896 | + | 0.468040i | −0.851310 | − | 0.524663i | \(-0.824192\pi\) |
−0.120586 | + | 0.992703i | \(0.538477\pi\) | |||||||
\(558\) | −26.8799 | −1.13792 | ||||||||
\(559\) | 42.8805 | − | 1.43657i | 1.81365 | − | 0.0607606i | ||||
\(560\) | −18.7778 | −0.793506 | ||||||||
\(561\) | 4.60388 | − | 2.21711i | 0.194376 | − | 0.0936064i | ||||
\(562\) | 4.40970 | + | 2.12360i | 0.186012 | + | 0.0895786i | ||||
\(563\) | −4.00484 | + | 5.02192i | −0.168784 | + | 0.211649i | −0.859029 | − | 0.511928i | \(-0.828932\pi\) |
0.690244 | + | 0.723576i | \(0.257503\pi\) | |||||||
\(564\) | −1.08964 | + | 4.77402i | −0.0458820 | + | 0.201022i | ||||
\(565\) | −26.3937 | −1.11039 | ||||||||
\(566\) | 30.6547 | 1.28851 | ||||||||
\(567\) | 0.970165 | − | 4.25057i | 0.0407431 | − | 0.178507i | ||||
\(568\) | 3.15213 | + | 3.95264i | 0.132260 | + | 0.165849i | ||||
\(569\) | 0.272398 | + | 1.19345i | 0.0114195 | + | 0.0500321i | 0.980317 | − | 0.197432i | \(-0.0632600\pi\) |
−0.968897 | + | 0.247464i | \(0.920403\pi\) | |||||||
\(570\) | 13.9928 | + | 17.5464i | 0.586092 | + | 0.734937i | ||||
\(571\) | 33.2657 | − | 16.0199i | 1.39213 | − | 0.670413i | 0.420578 | − | 0.907256i | \(-0.361827\pi\) |
0.971548 | + | 0.236844i | \(0.0761130\pi\) | |||||||
\(572\) | −2.06435 | + | 9.04451i | −0.0863149 | + | 0.378170i | ||||
\(573\) | −16.8877 | + | 8.13268i | −0.705493 | + | 0.339748i | ||||
\(574\) | 8.35690 | − | 10.4792i | 0.348810 | − | 0.437394i | ||||
\(575\) | 0.0404251 | + | 0.177114i | 0.00168584 | + | 0.00738616i | ||||
\(576\) | −0.407969 | − | 1.78743i | −0.0169987 | − | 0.0744762i | ||||
\(577\) | 23.2364 | + | 11.1901i | 0.967344 | + | 0.465848i | 0.849734 | − | 0.527212i | \(-0.176763\pi\) |
0.117610 | + | 0.993060i | \(0.462477\pi\) | |||||||
\(578\) | −4.50753 | + | 5.65227i | −0.187489 | + | 0.235103i | ||||
\(579\) | −7.65883 | − | 9.60387i | −0.318290 | − | 0.399123i | ||||
\(580\) | 15.1468 | + | 7.29429i | 0.628935 | + | 0.302879i | ||||
\(581\) | 18.7262 | + | 9.01805i | 0.776892 | + | 0.374132i | ||||
\(582\) | −4.90850 | − | 6.15507i | −0.203464 | − | 0.255136i | ||||
\(583\) | −7.90246 | + | 9.90937i | −0.327286 | + | 0.410404i | ||||
\(584\) | 1.75182 | + | 0.843634i | 0.0724910 | + | 0.0349098i | ||||
\(585\) | −4.72737 | − | 20.7119i | −0.195452 | − | 0.856333i | ||||
\(586\) | 4.42327 | + | 19.3796i | 0.182724 | + | 0.800565i | ||||
\(587\) | 5.87651 | − | 7.36891i | 0.242550 | − | 0.304147i | −0.645624 | − | 0.763655i | \(-0.723403\pi\) |
0.888174 | + | 0.459508i | \(0.151974\pi\) | |||||||
\(588\) | −5.79590 | + | 2.79116i | −0.239019 | + | 0.115105i | ||||
\(589\) | 10.2107 | − | 44.7359i | 0.420724 | − | 1.84331i | ||||
\(590\) | −0.579417 | + | 0.279032i | −0.0238542 | + | 0.0114876i | ||||
\(591\) | −8.52177 | − | 10.6860i | −0.350539 | − | 0.439562i | ||||
\(592\) | 4.01453 | + | 17.5888i | 0.164996 | + | 0.722896i | ||||
\(593\) | −5.43565 | − | 6.81609i | −0.223215 | − | 0.279903i | 0.657596 | − | 0.753371i | \(-0.271573\pi\) |
−0.880811 | + | 0.473468i | \(0.843002\pi\) | |||||||
\(594\) | 2.52715 | − | 11.0722i | 0.103690 | − | 0.454296i | ||||
\(595\) | −13.7017 | −0.561715 | ||||||||
\(596\) | −7.23490 | −0.296353 | ||||||||
\(597\) | −6.75786 | + | 29.6081i | −0.276581 | + | 1.21178i | ||||
\(598\) | 27.2995 | − | 34.2325i | 1.11636 | − | 1.39987i | ||||
\(599\) | −16.9194 | − | 8.14795i | −0.691307 | − | 0.332916i | 0.0550292 | − | 0.998485i | \(-0.482475\pi\) |
−0.746337 | + | 0.665569i | \(0.768189\pi\) | |||||||
\(600\) | −0.0745725 | + | 0.0359122i | −0.00304441 | + | 0.00146611i | ||||
\(601\) | −13.5646 | −0.553313 | −0.276657 | − | 0.960969i | \(-0.589226\pi\) | ||||
−0.276657 | + | 0.960969i | \(0.589226\pi\) | |||||||
\(602\) | −12.9819 | − | 15.2051i | −0.529102 | − | 0.619713i | ||||
\(603\) | 3.03146 | 0.123451 | ||||||||
\(604\) | −8.36927 | + | 4.03043i | −0.340541 | + | 0.163996i | ||||
\(605\) | 19.6516 | + | 9.46371i | 0.798951 | + | 0.384755i | ||||
\(606\) | −18.0341 | + | 22.6141i | −0.732587 | + | 0.918635i | ||||
\(607\) | 6.71714 | − | 29.4297i | 0.272640 | − | 1.19452i | −0.634243 | − | 0.773134i | \(-0.718688\pi\) |
0.906883 | − | 0.421382i | \(-0.138455\pi\) | |||||||
\(608\) | 27.4969 | 1.11515 | ||||||||
\(609\) | 12.6595 | 0.512989 | ||||||||
\(610\) | 0.643104 | − | 2.81762i | 0.0260385 | − | 0.114082i | ||||
\(611\) | 12.8467 | + | 16.1092i | 0.519721 | + | 0.651709i | ||||
\(612\) | −1.44504 | − | 6.33114i | −0.0584124 | − | 0.255921i | ||||
\(613\) | 2.80380 | + | 3.51585i | 0.113244 | + | 0.142004i | 0.835223 | − | 0.549911i | \(-0.185339\pi\) |
−0.721979 | + | 0.691915i | \(0.756767\pi\) | |||||||
\(614\) | −25.6434 | + | 12.3492i | −1.03488 | + | 0.498374i | ||||
\(615\) | 2.74094 | − | 12.0088i | 0.110525 | − | 0.484243i | ||||
\(616\) | −2.35205 | + | 1.13269i | −0.0947669 | + | 0.0456373i | ||||
\(617\) | −17.8056 | + | 22.3275i | −0.716826 | + | 0.898871i | −0.998154 | − | 0.0607405i | \(-0.980654\pi\) |
0.281328 | + | 0.959612i | \(0.409225\pi\) | |||||||
\(618\) | 1.85690 | + | 8.13559i | 0.0746953 | + | 0.327262i | ||||
\(619\) | 0.646457 | + | 2.83231i | 0.0259833 | + | 0.113840i | 0.986257 | − | 0.165221i | \(-0.0528338\pi\) |
−0.960273 | + | 0.279061i | \(0.909977\pi\) | |||||||
\(620\) | −26.0601 | − | 12.5499i | −1.04660 | − | 0.504015i | ||||
\(621\) | −12.8346 | + | 16.0941i | −0.515034 | + | 0.645833i | ||||
\(622\) | −13.8937 | − | 17.4222i | −0.557088 | − | 0.698566i | ||||
\(623\) | 16.1881 | + | 7.79580i | 0.648564 | + | 0.312332i | ||||
\(624\) | 36.3059 | + | 17.4840i | 1.45340 | + | 0.699920i | ||||
\(625\) | −15.7383 | − | 19.7351i | −0.629530 | − | 0.789406i | ||||
\(626\) | −6.55496 | + | 8.21966i | −0.261989 | + | 0.328524i | ||||
\(627\) | 5.67845 | + | 2.73460i | 0.226775 | + | 0.109209i | ||||
\(628\) | −3.66637 | − | 16.0634i | −0.146304 | − | 0.640999i | ||||
\(629\) | 2.92931 | + | 12.8342i | 0.116799 | + | 0.511731i | ||||
\(630\) | −6.17241 | + | 7.73995i | −0.245915 | + | 0.308367i | ||||
\(631\) | −13.6223 | + | 6.56015i | −0.542295 | + | 0.261155i | −0.684916 | − | 0.728622i | \(-0.740161\pi\) |
0.142621 | + | 0.989777i | \(0.454447\pi\) | |||||||
\(632\) | −0.0184179 | + | 0.0806940i | −0.000732624 | + | 0.00320983i | ||||
\(633\) | 11.5843 | − | 5.57869i | 0.460433 | − | 0.221733i | ||||
\(634\) | 29.4001 | + | 36.8665i | 1.16763 | + | 1.46416i | ||||
\(635\) | 10.1114 | + | 44.3010i | 0.401259 | + | 1.75803i | ||||
\(636\) | −10.8068 | − | 13.5513i | −0.428517 | − | 0.537343i | ||||
\(637\) | −6.02326 | + | 26.3896i | −0.238650 | + | 1.04560i | ||||
\(638\) | 12.2935 | 0.486704 | ||||||||
\(639\) | 5.38404 | 0.212989 | ||||||||
\(640\) | −5.04288 | + | 22.0943i | −0.199337 | + | 0.873353i | ||||
\(641\) | 2.12432 | − | 2.66381i | 0.0839055 | − | 0.105214i | −0.738107 | − | 0.674684i | \(-0.764280\pi\) |
0.822012 | + | 0.569470i | \(0.192851\pi\) | |||||||
\(642\) | 10.2213 | + | 4.92233i | 0.403403 | + | 0.194269i | ||||
\(643\) | −0.880395 | + | 0.423976i | −0.0347194 | + | 0.0167200i | −0.451163 | − | 0.892442i | \(-0.648991\pi\) |
0.416443 | + | 0.909162i | \(0.363276\pi\) | |||||||
\(644\) | −7.83579 | −0.308773 | ||||||||
\(645\) | −16.8116 | − | 7.41323i | −0.661957 | − | 0.291896i | ||||
\(646\) | 28.8659 | 1.13571 | ||||||||
\(647\) | 14.8262 | − | 7.13990i | 0.582876 | − | 0.280699i | −0.119119 | − | 0.992880i | \(-0.538007\pi\) |
0.701995 | + | 0.712181i | \(0.252293\pi\) | |||||||
\(648\) | −3.15010 | − | 1.51701i | −0.123748 | − | 0.0595938i | ||||
\(649\) | −0.112605 | + | 0.141202i | −0.00442012 | + | 0.00554266i | ||||
\(650\) | 0.128334 | − | 0.562269i | 0.00503368 | − | 0.0220540i | ||||
\(651\) | −21.7808 | −0.853655 | ||||||||
\(652\) | −17.6896 | −0.692779 | ||||||||
\(653\) | −7.50066 | + | 32.8626i | −0.293524 | + | 1.28601i | 0.586060 | + | 0.810267i | \(0.300678\pi\) |
−0.879584 | + | 0.475744i | \(0.842179\pi\) | |||||||
\(654\) | −3.04892 | − | 3.82322i | −0.119222 | − | 0.149500i | ||||
\(655\) | −1.02930 | − | 4.50967i | −0.0402182 | − | 0.176207i | ||||
\(656\) | −13.5375 | − | 16.9755i | −0.528551 | − | 0.662781i | ||||
\(657\) | 1.86563 | − | 0.898438i | 0.0727850 | − | 0.0350514i | ||||
\(658\) | 2.13653 | − | 9.36075i | 0.0832906 | − | 0.364920i | ||||
\(659\) | 31.6247 | − | 15.2297i | 1.23193 | − | 0.593264i | 0.299317 | − | 0.954154i | \(-0.403241\pi\) |
0.932608 | + | 0.360890i | \(0.117527\pi\) | |||||||
\(660\) | 2.47703 | − | 3.10610i | 0.0964184 | − | 0.120905i | ||||
\(661\) | −0.468837 | − | 2.05411i | −0.0182356 | − | 0.0798955i | 0.964991 | − | 0.262282i | \(-0.0844750\pi\) |
−0.983227 | + | 0.182386i | \(0.941618\pi\) | |||||||
\(662\) | −7.32424 | − | 32.0896i | −0.284665 | − | 1.24720i | ||||
\(663\) | 26.4916 | + | 12.7577i | 1.02885 | + | 0.495467i | ||||
\(664\) | 10.3922 | − | 13.0315i | 0.403297 | − | 0.505719i | ||||
\(665\) | −10.5368 | − | 13.2128i | −0.408601 | − | 0.512369i | ||||
\(666\) | 8.56949 | + | 4.12685i | 0.332061 | + | 0.159912i | ||||
\(667\) | −20.0761 | − | 9.66812i | −0.777348 | − | 0.374351i | ||||
\(668\) | 7.36443 | + | 9.23470i | 0.284938 | + | 0.357301i | ||||
\(669\) | −2.20291 | + | 2.76236i | −0.0851693 | + | 0.106799i | ||||
\(670\) | 7.65279 | + | 3.68539i | 0.295653 | + | 0.142379i | ||||
\(671\) | −0.180604 | − | 0.791277i | −0.00697213 | − | 0.0305469i | ||||
\(672\) | −2.90432 | − | 12.7247i | −0.112037 | − | 0.490865i | ||||
\(673\) | 10.9088 | − | 13.6792i | 0.420503 | − | 0.527294i | −0.525785 | − | 0.850617i | \(-0.676229\pi\) |
0.946289 | + | 0.323323i | \(0.104800\pi\) | |||||||
\(674\) | 11.5124 | − | 5.54407i | 0.443440 | − | 0.213550i | ||||
\(675\) | −0.0603349 | + | 0.264345i | −0.00232229 | + | 0.0101746i | ||||
\(676\) | −33.4904 | + | 16.1281i | −1.28809 | + | 0.620312i | ||||
\(677\) | −18.3463 | − | 23.0055i | −0.705106 | − | 0.884175i | 0.292288 | − | 0.956330i | \(-0.405584\pi\) |
−0.997393 | + | 0.0721557i | \(0.977012\pi\) | |||||||
\(678\) | −5.87316 | − | 25.7320i | −0.225557 | − | 0.988231i | ||||
\(679\) | 3.69620 | + | 4.63489i | 0.141847 | + | 0.177871i | ||||
\(680\) | −2.44504 | + | 10.7124i | −0.0937631 | + | 0.410803i | ||||
\(681\) | 16.2905 | 0.624254 | ||||||||
\(682\) | −21.1511 | −0.809916 | ||||||||
\(683\) | 11.5378 | − | 50.5504i | 0.441481 | − | 1.93426i | 0.0976667 | − | 0.995219i | \(-0.468862\pi\) |
0.343815 | − | 0.939038i | \(-0.388281\pi\) | |||||||
\(684\) | 4.99396 | − | 6.26223i | 0.190949 | − | 0.239442i | ||||
\(685\) | −31.5846 | − | 15.2103i | −1.20678 | − | 0.581156i | ||||
\(686\) | 30.5933 | − | 14.7329i | 1.16806 | − | 0.562507i | ||||
\(687\) | 22.3411 | 0.852366 | ||||||||
\(688\) | −28.6930 | + | 15.0214i | −1.09391 | + | 0.572687i | ||||
\(689\) | −72.9318 | −2.77848 | ||||||||
\(690\) | −16.8937 | + | 8.13559i | −0.643133 | + | 0.309717i | ||||
\(691\) | −1.13826 | − | 0.548157i | −0.0433014 | − | 0.0208529i | 0.412108 | − | 0.911135i | \(-0.364793\pi\) |
−0.455409 | + | 0.890282i | \(0.650507\pi\) | |||||||
\(692\) | 3.70291 | − | 4.64330i | 0.140763 | − | 0.176512i | ||||
\(693\) | −0.618645 | + | 2.71046i | −0.0235004 | + | 0.102962i | ||||
\(694\) | −5.79225 | −0.219871 | ||||||||
\(695\) | −15.8998 | −0.603113 | ||||||||
\(696\) | 2.25906 | − | 9.89759i | 0.0856295 | − | 0.375167i | ||||
\(697\) | −9.87800 | − | 12.3866i | −0.374156 | − | 0.469177i | ||||
\(698\) | −10.9666 | − | 48.0477i | −0.415091 | − | 1.81863i | ||||
\(699\) | 7.26205 | + | 9.10632i | 0.274676 | + | 0.344433i | ||||
\(700\) | −0.0929903 | + | 0.0447818i | −0.00351470 | + | 0.00169259i | ||||
\(701\) | −7.56398 | + | 33.1400i | −0.285688 | + | 1.25168i | 0.604691 | + | 0.796460i | \(0.293296\pi\) |
−0.890379 | + | 0.455220i | \(0.849561\pi\) | |||||||
\(702\) | 58.8781 | − | 28.3542i | 2.22221 | − | 1.07016i | ||||
\(703\) | −10.1235 | + | 12.6945i | −0.381815 | + | 0.478780i | ||||
\(704\) | −0.321020 | − | 1.40648i | −0.0120989 | − | 0.0530087i | ||||
\(705\) | −1.96346 | − | 8.60248i | −0.0739482 | − | 0.323988i | ||||
\(706\) | 37.4991 | + | 18.0586i | 1.41130 | + | 0.679645i | ||||
\(707\) | 13.5801 | − | 17.0289i | 0.510732 | − | 0.640437i | ||||
\(708\) | −0.153989 | − | 0.193096i | −0.00578727 | − | 0.00725701i | ||||
\(709\) | −31.6797 | − | 15.2561i | −1.18976 | − | 0.572956i | −0.269017 | − | 0.963135i | \(-0.586699\pi\) |
−0.920739 | + | 0.390179i | \(0.872413\pi\) | |||||||
\(710\) | 13.5918 | + | 6.54546i | 0.510091 | + | 0.245647i | ||||
\(711\) | 0.0549581 | + | 0.0689153i | 0.00206109 | + | 0.00258453i | ||||
\(712\) | 8.98374 | − | 11.2653i | 0.336680 | − | 0.422183i | ||||
\(713\) | 34.5410 | + | 16.6341i | 1.29357 | + | 0.622951i | ||||
\(714\) | −3.04892 | − | 13.3582i | −0.114103 | − | 0.499917i | ||||
\(715\) | −3.71983 | − | 16.2977i | −0.139114 | − | 0.609498i | ||||
\(716\) | 1.28083 | − | 1.60611i | 0.0478669 | − | 0.0600232i | ||||
\(717\) | 8.13587 | − | 3.91803i | 0.303840 | − | 0.146321i | ||||
\(718\) | 0.102147 | − | 0.447533i | 0.00381208 | − | 0.0167018i | ||||
\(719\) | −22.0722 | + | 10.6294i | −0.823153 | + | 0.396410i | −0.797543 | − | 0.603262i | \(-0.793867\pi\) |
−0.0256105 | + | 0.999672i | \(0.508153\pi\) | |||||||
\(720\) | 9.99880 | + | 12.5381i | 0.372633 | + | 0.467268i | ||||
\(721\) | −1.39828 | − | 6.12627i | −0.0520747 | − | 0.228154i | ||||
\(722\) | 0.852052 | + | 1.06844i | 0.0317101 | + | 0.0397632i | ||||
\(723\) | −0.0304995 | + | 0.133627i | −0.00113429 | + | 0.00496964i | ||||
\(724\) | 2.83877 | 0.105502 | ||||||||
\(725\) | −0.293504 | −0.0109005 | ||||||||
\(726\) | −4.85354 | + | 21.2648i | −0.180132 | + | 0.789209i | ||||
\(727\) | −24.3071 | + | 30.4801i | −0.901500 | + | 1.13044i | 0.0894207 | + | 0.995994i | \(0.471498\pi\) |
−0.990920 | + | 0.134451i | \(0.957073\pi\) | |||||||
\(728\) | −13.5341 | − | 6.51770i | −0.501609 | − | 0.241562i | ||||
\(729\) | −22.0368 | + | 10.6124i | −0.816179 | + | 0.393051i | ||||
\(730\) | 5.80194 | 0.214739 | ||||||||
\(731\) | −20.9366 | + | 10.9608i | −0.774368 | + | 0.405399i | ||||
\(732\) | 1.10992 | 0.0410237 | ||||||||
\(733\) | 5.28232 | − | 2.54383i | 0.195107 | − | 0.0939586i | −0.333779 | − | 0.942651i | \(-0.608324\pi\) |
0.528886 | + | 0.848693i | \(0.322610\pi\) | |||||||
\(734\) | 24.0426 | + | 11.5783i | 0.887430 | + | 0.427364i | ||||
\(735\) | 7.22737 | − | 9.06283i | 0.266585 | − | 0.334287i | ||||
\(736\) | −5.11207 | + | 22.3975i | −0.188433 | + | 0.825581i | ||||
\(737\) | 2.38537 | 0.0878663 | ||||||||
\(738\) | −11.4470 | −0.421368 | ||||||||
\(739\) | 5.02542 | − | 22.0178i | 0.184863 | − | 0.809938i | −0.794408 | − | 0.607384i | \(-0.792219\pi\) |
0.979271 | − | 0.202553i | \(-0.0649240\pi\) | |||||||
\(740\) | 6.38135 | + | 8.00197i | 0.234583 | + | 0.294158i | ||||
\(741\) | 8.07002 | + | 35.3571i | 0.296460 | + | 1.29887i | ||||
\(742\) | 21.1896 | + | 26.5710i | 0.777896 | + | 0.975450i | ||||
\(743\) | 40.4424 | − | 19.4760i | 1.48369 | − | 0.714507i | 0.495622 | − | 0.868538i | \(-0.334940\pi\) |
0.988066 | + | 0.154032i | \(0.0492258\pi\) | |||||||
\(744\) | −3.88673 | + | 17.0289i | −0.142494 | + | 0.624309i | ||||
\(745\) | 11.7458 | − | 5.65647i | 0.430332 | − | 0.207237i | ||||
\(746\) | 25.2473 | − | 31.6591i | 0.924368 | − | 1.15912i | ||||
\(747\) | −3.94989 | − | 17.3056i | −0.144519 | − | 0.633178i | ||||
\(748\) | −1.13706 | − | 4.98180i | −0.0415752 | − | 0.182153i | ||||
\(749\) | −7.69687 | − | 3.70662i | −0.281237 | − | 0.135437i | ||||
\(750\) | 15.5858 | − | 19.5439i | 0.569111 | − | 0.713643i | ||||
\(751\) | −0.297093 | − | 0.372543i | −0.0108411 | − | 0.0135943i | 0.776381 | − | 0.630263i | \(-0.217053\pi\) |
−0.787222 | + | 0.616669i | \(0.788482\pi\) | |||||||
\(752\) | −14.0133 | − | 6.74847i | −0.511014 | − | 0.246091i | ||||
\(753\) | −31.3424 | − | 15.0937i | −1.14218 | − | 0.550046i | ||||
\(754\) | 44.1051 | + | 55.3061i | 1.60621 | + | 2.01413i | ||||
\(755\) | 10.4363 | − | 13.0867i | 0.379816 | − | 0.476275i | ||||
\(756\) | −10.5368 | − | 5.07427i | −0.383221 | − | 0.184550i | ||||
\(757\) | 2.40001 | + | 10.5151i | 0.0872298 | + | 0.382179i | 0.999632 | − | 0.0271153i | \(-0.00863213\pi\) |
−0.912402 | + | 0.409294i | \(0.865775\pi\) | |||||||
\(758\) | 10.4456 | + | 45.7651i | 0.379400 | + | 1.66226i | ||||
\(759\) | −3.28315 | + | 4.11694i | −0.119171 | + | 0.149436i | ||||
\(760\) | −12.2104 | + | 5.88024i | −0.442919 | + | 0.213299i | ||||
\(761\) | −1.97381 | + | 8.64784i | −0.0715506 | + | 0.313484i | −0.998021 | − | 0.0628843i | \(-0.979970\pi\) |
0.926470 | + | 0.376368i | \(0.122827\pi\) | |||||||
\(762\) | −40.9403 | + | 19.7158i | −1.48311 | + | 0.714228i | ||||
\(763\) | 2.29590 | + | 2.87896i | 0.0831171 | + | 0.104225i | ||||
\(764\) | 4.17092 | + | 18.2740i | 0.150898 | + | 0.661129i | ||||
\(765\) | 7.29590 | + | 9.14877i | 0.263784 | + | 0.330774i | ||||
\(766\) | −4.94816 | + | 21.6793i | −0.178784 | + | 0.783305i | ||||
\(767\) | −1.03923 | −0.0375244 | ||||||||
\(768\) | −25.8267 | −0.931940 | ||||||||
\(769\) | −8.63222 | + | 37.8202i | −0.311286 | + | 1.36383i | 0.541117 | + | 0.840947i | \(0.318001\pi\) |
−0.852403 | + | 0.522885i | \(0.824856\pi\) | |||||||
\(770\) | −4.85690 | + | 6.09035i | −0.175030 | + | 0.219481i | ||||
\(771\) | −2.99396 | − | 1.44181i | −0.107825 | − | 0.0519257i | ||||
\(772\) | −11.0673 | + | 5.32975i | −0.398322 | + | 0.191822i | ||||
\(773\) | 44.4730 | 1.59958 | 0.799792 | − | 0.600277i | \(-0.204943\pi\) | ||||
0.799792 | + | 0.600277i | \(0.204943\pi\) | |||||||
\(774\) | −3.23998 | + | 16.7645i | −0.116459 | + | 0.602589i | ||||
\(775\) | 0.504976 | 0.0181393 | ||||||||
\(776\) | 4.28328 | − | 2.06272i | 0.153761 | − | 0.0740473i | ||||
\(777\) | 6.94385 | + | 3.34398i | 0.249109 | + | 0.119965i | ||||
\(778\) | −22.3729 | + | 28.0548i | −0.802108 | + | 1.00581i | ||||
\(779\) | 4.34827 | − | 19.0510i | 0.155793 | − | 0.682574i | ||||
\(780\) | 22.8605 | 0.818539 | ||||||||
\(781\) | 4.23655 | 0.151596 | ||||||||
\(782\) | −5.36658 | + | 23.5125i | −0.191909 | + | 0.840807i | ||||
\(783\) | −20.7356 | − | 26.0016i | −0.741029 | − | 0.929220i | ||||
\(784\) | −4.54676 | − | 19.9207i | −0.162384 | − | 0.711452i | ||||
\(785\) | 18.5112 | + | 23.2123i | 0.660692 | + | 0.828482i | ||||
\(786\) | 4.16756 | − | 2.00699i | 0.148652 | − | 0.0715871i | ||||
\(787\) | 2.36413 | − | 10.3579i | 0.0842722 | − | 0.369221i | −0.915154 | − | 0.403106i | \(-0.867931\pi\) |
0.999426 | + | 0.0338847i | \(0.0107879\pi\) | |||||||
\(788\) | −12.3143 | + | 5.93026i | −0.438679 | + | 0.211257i | ||||
\(789\) | 18.7642 | − | 23.5296i | 0.668023 | − | 0.837675i | ||||
\(790\) | 0.0549581 | + | 0.240787i | 0.00195532 | + | 0.00856683i | ||||
\(791\) | 4.42261 | + | 19.3767i | 0.157250 | + | 0.688956i | ||||
\(792\) | 2.00873 | + | 0.967353i | 0.0713771 | + | 0.0343734i | ||||
\(793\) | 2.91185 | − | 3.65135i | 0.103403 | − | 0.129663i | ||||
\(794\) | 10.2518 | + | 12.8554i | 0.363824 | + | 0.456220i | ||||
\(795\) | 28.1395 | + | 13.5513i | 0.998006 | + | 0.480614i | ||||
\(796\) | 27.3620 | + | 13.1769i | 0.969822 | + | 0.467041i | ||||
\(797\) | 0.329453 | + | 0.413121i | 0.0116698 | + | 0.0146335i | 0.787632 | − | 0.616146i | \(-0.211307\pi\) |
−0.775962 | + | 0.630779i | \(0.782735\pi\) | |||||||
\(798\) | 10.5368 | − | 13.2128i | 0.373000 | − | 0.467727i | ||||
\(799\) | −10.2252 | − | 4.92420i | −0.361742 | − | 0.174206i | ||||
\(800\) | 0.0673352 | + | 0.295015i | 0.00238066 | + | 0.0104304i | ||||
\(801\) | −3.41454 | − | 14.9601i | −0.120647 | − | 0.528589i | ||||
\(802\) | 0.0489173 | − | 0.0613404i | 0.00172733 | − | 0.00216600i | ||||
\(803\) | 1.46801 | − | 0.706956i | 0.0518049 | − | 0.0249479i | ||||
\(804\) | −0.725873 | + | 3.18026i | −0.0255996 | + | 0.112159i | ||||
\(805\) | 12.7213 | − | 6.12627i | 0.448368 | − | 0.215923i | ||||
\(806\) | −75.8832 | − | 95.1545i | −2.67287 | − | 3.35168i | ||||
\(807\) | 8.36629 | + | 36.6551i | 0.294507 | + | 1.29032i | ||||
\(808\) | −10.8904 | − | 13.6561i | −0.383122 | − | 0.480420i | ||||
\(809\) | −2.38381 | + | 10.4441i | −0.0838102 | + | 0.367196i | −0.999389 | − | 0.0349414i | \(-0.988876\pi\) |
0.915579 | + | 0.402138i | \(0.131733\pi\) | |||||||
\(810\) | −10.4330 | −0.366577 | ||||||||
\(811\) | −52.4782 | −1.84276 | −0.921379 | − | 0.388666i | \(-0.872936\pi\) | ||||
−0.921379 | + | 0.388666i | \(0.872936\pi\) | |||||||
\(812\) | 2.81700 | − | 12.3421i | 0.0988574 | − | 0.433123i | ||||
\(813\) | 10.6453 | − | 13.3487i | 0.373346 | − | 0.468161i | ||||
\(814\) | 6.74309 | + | 3.24730i | 0.236345 | + | 0.113818i | ||||
\(815\) | 28.7189 | − | 13.8303i | 1.00598 | − | 0.484455i | ||||
\(816\) | −22.1957 | −0.777004 | ||||||||
\(817\) | −26.6703 | − | 11.7605i | −0.933074 | − | 0.411447i | ||||
\(818\) | −19.2567 | −0.673294 | ||||||||
\(819\) | −14.4133 | + | 6.94110i | −0.503643 | + | 0.242542i | ||||
\(820\) | −11.0978 | − | 5.34444i | −0.387553 | − | 0.186636i | ||||
\(821\) | 8.79321 | − | 11.0263i | 0.306885 | − | 0.384822i | −0.604343 | − | 0.796724i | \(-0.706564\pi\) |
0.911228 | + | 0.411903i | \(0.135136\pi\) | |||||||
\(822\) | 7.80074 | − | 34.1773i | 0.272082 | − | 1.19207i | ||||
\(823\) | 45.8146 | 1.59700 | 0.798498 | − | 0.601997i | \(-0.205628\pi\) | ||||
0.798498 | + | 0.601997i | \(0.205628\pi\) | |||||||
\(824\) | −5.03923 | −0.175550 | ||||||||
\(825\) | −0.0154340 | + | 0.0676206i | −0.000537342 | + | 0.00235425i | ||||
\(826\) | 0.301938 | + | 0.378618i | 0.0105058 | + | 0.0131738i | ||||
\(827\) | 8.55938 | + | 37.5011i | 0.297639 | + | 1.30404i | 0.873633 | + | 0.486586i | \(0.161758\pi\) |
−0.575994 | + | 0.817454i | \(0.695385\pi\) | |||||||
\(828\) | 4.17241 | + | 5.23203i | 0.145001 | + | 0.181826i | ||||
\(829\) | −17.3751 | + | 8.36740i | −0.603461 | + | 0.290612i | −0.710560 | − | 0.703637i | \(-0.751558\pi\) |
0.107099 | + | 0.994248i | \(0.465844\pi\) | |||||||
\(830\) | 11.0673 | − | 48.4892i | 0.384153 | − | 1.68308i | ||||
\(831\) | −20.8681 | + | 10.0495i | −0.723906 | + | 0.348615i | ||||
\(832\) | 5.17576 | − | 6.49020i | 0.179437 | − | 0.225007i | ||||
\(833\) | −3.31767 | − | 14.5356i | −0.114950 | − | 0.503630i | ||||
\(834\) | −3.53803 | − | 15.5011i | −0.122512 | − | 0.536760i | ||||
\(835\) | −19.1761 | − | 9.23470i | −0.663615 | − | 0.319580i | ||||
\(836\) | 3.92961 | − | 4.92757i | 0.135908 | − | 0.170424i | ||||
\(837\) | 35.6757 | + | 44.7359i | 1.23313 | + | 1.54630i | ||||
\(838\) | 11.9831 | + | 5.77074i | 0.413948 | + | 0.199347i | ||||
\(839\) | 5.32424 | + | 2.56402i | 0.183813 | + | 0.0885198i | 0.523527 | − | 0.852009i | \(-0.324616\pi\) |
−0.339714 | + | 0.940529i | \(0.610330\pi\) | |||||||
\(840\) | 4.01089 | + | 5.02949i | 0.138389 | + | 0.173534i | ||||
\(841\) | 4.36443 | − | 5.47282i | 0.150498 | − | 0.188718i | ||||
\(842\) | −15.8976 | − | 7.65589i | −0.547868 | − | 0.263839i | ||||
\(843\) | −0.753684 | − | 3.30211i | −0.0259583 | − | 0.113731i | ||||
\(844\) | −2.86108 | − | 12.5352i | −0.0984823 | − | 0.431479i | ||||
\(845\) | 41.7618 | − | 52.3677i | 1.43665 | − | 1.80150i | ||||
\(846\) | −7.38793 | + | 3.55784i | −0.254002 | + | 0.122321i | ||||
\(847\) | 3.65482 | − | 16.0128i | 0.125581 | − | 0.550206i | ||||
\(848\) | 49.6018 | − | 23.8870i | 1.70333 | − | 0.820281i | ||||
\(849\) | −13.2265 | − | 16.5856i | −0.453934 | − | 0.569215i | ||||
\(850\) | 0.0706876 | + | 0.309703i | 0.00242456 | + | 0.0106227i | ||||
\(851\) | −8.45808 | − | 10.6061i | −0.289939 | − | 0.363572i | ||||
\(852\) | −1.28919 | + | 5.64832i | −0.0441670 | + | 0.193508i | ||||
\(853\) | 27.6021 | 0.945077 | 0.472538 | − | 0.881310i | \(-0.343338\pi\) | ||||
0.472538 | + | 0.881310i | \(0.343338\pi\) | |||||||
\(854\) | −2.17629 | −0.0744712 | ||||||||
\(855\) | −3.21164 | + | 14.0711i | −0.109836 | + | 0.481221i | ||||
\(856\) | −4.27144 | + | 5.35621i | −0.145995 | + | 0.183072i | ||||
\(857\) | −15.3780 | − | 7.40566i | −0.525303 | − | 0.252972i | 0.152386 | − | 0.988321i | \(-0.451304\pi\) |
−0.677689 | + | 0.735349i | \(0.737018\pi\) | |||||||
\(858\) | 15.0613 | − | 7.25314i | 0.514184 | − | 0.247618i | ||||
\(859\) | 4.80838 | 0.164060 | 0.0820299 | − | 0.996630i | \(-0.473860\pi\) | ||||
0.0820299 | + | 0.996630i | \(0.473860\pi\) | |||||||
\(860\) | −10.9683 | + | 14.7405i | −0.374016 | + | 0.502648i | ||||
\(861\) | −9.27545 | −0.316107 | ||||||||
\(862\) | −44.3696 | + | 21.3673i | −1.51123 | + | 0.727772i | ||||
\(863\) | −49.0045 | − | 23.5993i | −1.66813 | − | 0.803330i | −0.998140 | − | 0.0609613i | \(-0.980583\pi\) |
−0.669992 | − | 0.742369i | \(-0.733702\pi\) | |||||||
\(864\) | −21.3783 | + | 26.8075i | −0.727304 | + | 0.912011i | ||||
\(865\) | −2.38135 | + | 10.4334i | −0.0809685 | + | 0.354746i | ||||
\(866\) | −5.00538 | −0.170090 | ||||||||
\(867\) | 5.00298 | 0.169910 | ||||||||
\(868\) | −4.84667 | + | 21.2347i | −0.164507 | + | 0.720752i | ||||
\(869\) | 0.0432450 | + | 0.0542276i | 0.00146699 | + | 0.00183954i | ||||
\(870\) | −6.74094 | − | 29.5340i | −0.228539 | − | 1.00130i | ||||
\(871\) | 8.55794 | + | 10.7313i | 0.289975 | + | 0.363617i | ||||
\(872\) | 2.66056 | − | 1.28126i | 0.0900980 | − | 0.0433889i | ||||
\(873\) | 1.12661 | − | 4.93598i | 0.0381298 | − | 0.167058i | ||||
\(874\) | −26.8005 | + | 12.9064i | −0.906541 | + | 0.436567i | ||||
\(875\) | −11.7364 | + | 14.7170i | −0.396762 | + | 0.497524i | ||||
\(876\) | 0.495820 | + | 2.17233i | 0.0167522 | + | 0.0733962i | ||||
\(877\) | 3.00269 | + | 13.1556i | 0.101394 | + | 0.444234i | 0.999985 | + | 0.00544828i | \(0.00173425\pi\) |
−0.898592 | + | 0.438786i | \(0.855409\pi\) | |||||||
\(878\) | −15.5565 | − | 7.49159i | −0.525005 | − | 0.252829i | ||||
\(879\) | 8.57673 | − | 10.7549i | 0.289286 | − | 0.362753i | ||||
\(880\) | 7.86778 | + | 9.86589i | 0.265223 | + | 0.332579i | ||||
\(881\) | 31.8550 | + | 15.3406i | 1.07322 | + | 0.516837i | 0.885144 | − | 0.465317i | \(-0.154060\pi\) |
0.188079 | + | 0.982154i | \(0.439774\pi\) | |||||||
\(882\) | −9.70560 | − | 4.67397i | −0.326804 | − | 0.157381i | ||||
\(883\) | 33.4753 | + | 41.9767i | 1.12653 | + | 1.41263i | 0.898499 | + | 0.438976i | \(0.144659\pi\) |
0.228035 | + | 0.973653i | \(0.426770\pi\) | |||||||
\(884\) | 18.3327 | − | 22.9885i | 0.616597 | − | 0.773188i | ||||
\(885\) | 0.400969 | + | 0.193096i | 0.0134784 | + | 0.00649087i | ||||
\(886\) | −9.53319 | − | 41.7676i | −0.320274 | − | 1.40321i | ||||
\(887\) | 2.16325 | + | 9.47782i | 0.0726349 | + | 0.318234i | 0.998173 | − | 0.0604202i | \(-0.0192441\pi\) |
−0.925538 | + | 0.378654i | \(0.876387\pi\) | |||||||
\(888\) | 3.85354 | − | 4.83219i | 0.129316 | − | 0.162158i | ||||
\(889\) | 30.8288 | − | 14.8464i | 1.03397 | − | 0.497932i | ||||
\(890\) | 9.56734 | − | 41.9172i | 0.320698 | − | 1.40507i | ||||
\(891\) | −2.63975 | + | 1.27124i | −0.0884350 | + | 0.0425881i | ||||
\(892\) | 2.20291 | + | 2.76236i | 0.0737588 | + | 0.0924906i | ||||
\(893\) | −3.11487 | − | 13.6471i | −0.104235 | − | 0.456683i | ||||
\(894\) | 8.12833 | + | 10.1926i | 0.271852 | + | 0.340892i | ||||
\(895\) | −0.823708 | + | 3.60890i | −0.0275335 | + | 0.120632i | ||||
\(896\) | 17.0653 | 0.570112 | ||||||||
\(897\) | −30.3002 | −1.01169 | ||||||||
\(898\) | 7.35786 | − | 32.2369i | 0.245535 | − | 1.07576i | ||||
\(899\) | −38.6179 | + | 48.4253i | −1.28798 | + | 1.61507i | ||||
\(900\) | 0.0794168 | + | 0.0382451i | 0.00264723 | + | 0.00127484i | ||||
\(901\) | 36.1933 | − | 17.4298i | 1.20577 | − | 0.580670i | ||||
\(902\) | −9.00730 | −0.299910 | ||||||||
\(903\) | −2.62535 | + | 13.5843i | −0.0873662 | + | 0.452057i | ||||
\(904\) | 15.9385 | 0.530108 | ||||||||
\(905\) | −4.60872 | + | 2.21944i | −0.153199 | + | 0.0737768i | ||||
\(906\) | 15.0809 | + | 7.26258i | 0.501030 | + | 0.241283i | ||||
\(907\) | −17.9849 | + | 22.5523i | −0.597178 | + | 0.748837i | −0.984935 | − | 0.172924i | \(-0.944678\pi\) |
0.387758 | + | 0.921761i | \(0.373250\pi\) | |||||||
\(908\) | 3.62498 | − | 15.8821i | 0.120299 | − | 0.527065i | ||||
\(909\) | −18.6015 | −0.616972 | ||||||||
\(910\) | −44.8243 | −1.48591 | ||||||||
\(911\) | −3.18814 | + | 13.9681i | −0.105628 | + | 0.462785i | 0.894256 | + | 0.447555i | \(0.147705\pi\) |
−0.999884 | + | 0.0152300i | \(0.995152\pi\) | |||||||
\(912\) | −17.0688 | − | 21.4036i | −0.565205 | − | 0.708745i | ||||
\(913\) | −3.10806 | − | 13.6173i | −0.102862 | − | 0.450666i | ||||
\(914\) | 44.7280 | + | 56.0871i | 1.47947 | + | 1.85520i | ||||
\(915\) | −1.80194 | + | 0.867767i | −0.0595702 | + | 0.0286875i | ||||
\(916\) | 4.97136 | − | 21.7810i | 0.164258 | − | 0.719663i | ||||
\(917\) | −3.13826 | + | 1.51131i | −0.103634 | + | 0.0499077i | ||||
\(918\) | −22.4426 | + | 28.1422i | −0.740718 | + | 0.928831i | ||||
\(919\) | −9.54785 | − | 41.8319i | −0.314955 | − | 1.37991i | −0.846280 | − | 0.532738i | \(-0.821163\pi\) |
0.531325 | − | 0.847168i | \(-0.321694\pi\) | |||||||
\(920\) | −2.51961 | − | 11.0392i | −0.0830692 | − | 0.363950i | ||||
\(921\) | 17.7458 | + | 8.54592i | 0.584743 | + | 0.281598i | ||||
\(922\) | −21.6048 | + | 27.0916i | −0.711517 | + | 0.892215i | ||||
\(923\) | 15.1994 | + | 19.0594i | 0.500294 | + | 0.627349i | ||||
\(924\) | −2.69537 | − | 1.29802i | −0.0886713 | − | 0.0427018i | ||||
\(925\) | −0.160990 | − | 0.0775285i | −0.00529330 | − | 0.00254912i | ||||
\(926\) | 16.8056 | + | 21.0735i | 0.552266 | + | 0.692519i | ||||
\(927\) | −3.34601 | + | 4.19576i | −0.109897 | + | 0.137807i | ||||
\(928\) | −33.4403 | − | 16.1040i | −1.09773 | − | 0.528639i | ||||
\(929\) | 4.27061 | + | 18.7108i | 0.140114 | + | 0.613880i | 0.995407 | + | 0.0957351i | \(0.0305202\pi\) |
−0.855293 | + | 0.518145i | \(0.826623\pi\) | |||||||
\(930\) | 11.5978 | + | 50.8134i | 0.380308 | + | 1.66624i | ||||
\(931\) | 11.4656 | − | 14.3774i | 0.375770 | − | 0.471201i | ||||
\(932\) | 10.4940 | − | 5.05362i | 0.343741 | − | 0.165537i | ||||
\(933\) | −3.43147 | + | 15.0342i | −0.112341 | + | 0.492199i | ||||
\(934\) | −41.8705 | + | 20.1638i | −1.37005 | + | 0.659779i | ||||
\(935\) | 5.74094 | + | 7.19891i | 0.187749 | + | 0.235430i | ||||
\(936\) | 2.85474 | + | 12.5074i | 0.0933101 | + | 0.408818i | ||||
\(937\) | 21.8699 | + | 27.4240i | 0.714460 | + | 0.895904i | 0.998010 | − | 0.0630532i | \(-0.0200838\pi\) |
−0.283550 | + | 0.958957i | \(0.591512\pi\) | |||||||
\(938\) | 1.42327 | − | 6.23576i | 0.0464715 | − | 0.203605i | ||||
\(939\) | 7.27545 | 0.237425 | ||||||||
\(940\) | −8.82371 | −0.287798 | ||||||||
\(941\) | 1.98499 | − | 8.69682i | 0.0647089 | − | 0.283508i | −0.932213 | − | 0.361910i | \(-0.882125\pi\) |
0.996922 | + | 0.0784020i | \(0.0249818\pi\) | |||||||
\(942\) | −18.5112 | + | 23.2123i | −0.603127 | + | 0.756297i | ||||
\(943\) | 14.7095 | + | 7.08371i | 0.479007 | + | 0.230677i | ||||
\(944\) | 0.706791 | − | 0.340373i | 0.0230041 | − | 0.0110782i | ||||
\(945\) | 21.0737 | 0.685527 | ||||||||
\(946\) | −2.54945 | + | 13.1915i | −0.0828898 | + | 0.428894i | ||||
\(947\) | 27.3672 | 0.889314 | 0.444657 | − | 0.895701i | \(-0.353326\pi\) | ||||
0.444657 | + | 0.895701i | \(0.353326\pi\) | |||||||
\(948\) | −0.0854576 | + | 0.0411542i | −0.00277553 | + | 0.00133663i | ||||
\(949\) | 8.44720 | + | 4.06796i | 0.274208 | + | 0.132051i | ||||
\(950\) | −0.244291 | + | 0.306331i | −0.00792585 | + | 0.00993871i | ||||
\(951\) | 7.26122 | − | 31.8135i | 0.235461 | − | 1.03162i | ||||
\(952\) | 8.27413 | 0.268166 | ||||||||
\(953\) | −52.1221 | −1.68840 | −0.844200 | − | 0.536028i | \(-0.819924\pi\) | ||||
−0.844200 | + | 0.536028i | \(0.819924\pi\) | |||||||
\(954\) | 6.45862 | − | 28.2970i | 0.209105 | − | 0.916151i | ||||
\(955\) | −21.0586 | − | 26.4067i | −0.681440 | − | 0.854499i | ||||
\(956\) | −2.00939 | − | 8.80373i | −0.0649884 | − | 0.284733i | ||||
\(957\) | −5.30426 | − | 6.65133i | −0.171462 | − | 0.215007i | ||||
\(958\) | 48.2432 | − | 23.2327i | 1.55867 | − | 0.750614i | ||||
\(959\) | −5.87412 | + | 25.7362i | −0.189685 | + | 0.831065i | ||||
\(960\) | −3.20291 | + | 1.54244i | −0.103373 | + | 0.0497820i | ||||
\(961\) | 47.1142 | − | 59.0793i | 1.51981 | − | 1.90578i | ||||
\(962\) | 9.58306 | + | 41.9861i | 0.308970 | + | 1.35369i | ||||
\(963\) | 1.62349 | + | 7.11297i | 0.0523162 | + | 0.229212i | ||||
\(964\) | 0.123490 | + | 0.0594696i | 0.00397734 | + | 0.00191539i | ||||
\(965\) | 13.8007 | − | 17.3056i | 0.444262 | − | 0.557086i | ||||
\(966\) | 8.80343 | + | 11.0392i | 0.283246 | + | 0.355179i | ||||
\(967\) | −9.15548 | − | 4.40905i | −0.294420 | − | 0.141785i | 0.280843 | − | 0.959754i | \(-0.409386\pi\) |
−0.575263 | + | 0.817968i | \(0.695100\pi\) | |||||||
\(968\) | −11.8671 | − | 5.71490i | −0.381424 | − | 0.183684i | ||||
\(969\) | −12.4547 | − | 15.6177i | −0.400104 | − | 0.501714i | ||||
\(970\) | 8.84481 | − | 11.0910i | 0.283990 | − | 0.356112i | ||||
\(971\) | −6.72348 | − | 3.23786i | −0.215767 | − | 0.103908i | 0.322879 | − | 0.946440i | \(-0.395349\pi\) |
−0.538645 | + | 0.842533i | \(0.681064\pi\) | |||||||
\(972\) | 3.72252 | + | 16.3094i | 0.119400 | + | 0.523125i | ||||
\(973\) | 2.66421 | + | 11.6727i | 0.0854107 | + | 0.374209i | ||||
\(974\) | 1.70895 | − | 2.14295i | 0.0547582 | − | 0.0686646i | ||||
\(975\) | −0.359584 | + | 0.173167i | −0.0115159 | + | 0.00554577i | ||||
\(976\) | −0.784479 | + | 3.43703i | −0.0251106 | + | 0.110017i | ||||
\(977\) | 2.00388 | − | 0.965020i | 0.0641100 | − | 0.0308737i | −0.401554 | − | 0.915835i | \(-0.631530\pi\) |
0.465664 | + | 0.884962i | \(0.345816\pi\) | |||||||
\(978\) | 19.8741 | + | 24.9214i | 0.635504 | + | 0.796897i | ||||
\(979\) | −2.68681 | − | 11.7717i | −0.0858708 | − | 0.376224i | ||||
\(980\) | −7.22737 | − | 9.06283i | −0.230870 | − | 0.289501i | ||||
\(981\) | 0.699791 | − | 3.06599i | 0.0223426 | − | 0.0978894i | ||||
\(982\) | 51.6491 | 1.64819 | ||||||||
\(983\) | −21.5050 | −0.685902 | −0.342951 | − | 0.939353i | \(-0.611427\pi\) | ||||
−0.342951 | + | 0.939353i | \(0.611427\pi\) | |||||||
\(984\) | −1.65519 | + | 7.25184i | −0.0527654 | + | 0.231180i | ||||
\(985\) | 15.3557 | − | 19.2554i | 0.489273 | − | 0.613529i | ||||
\(986\) | −35.1051 | − | 16.9057i | −1.11798 | − | 0.538388i | ||||
\(987\) | −5.98643 | + | 2.88291i | −0.190550 | + | 0.0917641i | ||||
\(988\) | 36.2664 | 1.15379 | ||||||||
\(989\) | 14.5378 | − | 19.5376i | 0.462275 | − | 0.621261i | ||||
\(990\) | 6.65279 | 0.211440 | ||||||||
\(991\) | −45.7602 | + | 22.0369i | −1.45362 | + | 0.700027i | −0.983220 | − | 0.182426i | \(-0.941605\pi\) |
−0.470401 | + | 0.882453i | \(0.655891\pi\) | |||||||
\(992\) | 57.5342 | + | 27.7070i | 1.82671 | + | 0.879699i | ||||
\(993\) | −14.2017 | + | 17.8084i | −0.450678 | + | 0.565132i | ||||
\(994\) | 2.52781 | − | 11.0751i | 0.0801773 | − | 0.351280i | ||||
\(995\) | −54.7241 | −1.73487 | ||||||||
\(996\) | 19.1008 | 0.605233 | ||||||||
\(997\) | 0.222652 | − | 0.975504i | 0.00705147 | − | 0.0308945i | −0.971280 | − | 0.237940i | \(-0.923528\pi\) |
0.978331 | + | 0.207046i | \(0.0663849\pi\) | |||||||
\(998\) | −23.3865 | − | 29.3257i | −0.740287 | − | 0.928290i | ||||
\(999\) | −4.50538 | − | 19.7393i | −0.142544 | − | 0.624525i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.2.e.a.41.1 | yes | 6 | |
3.2 | odd | 2 | 387.2.u.c.127.1 | 6 | |||
4.3 | odd | 2 | 688.2.u.b.385.1 | 6 | |||
43.8 | odd | 14 | 1849.2.a.j.1.1 | 3 | |||
43.21 | even | 7 | inner | 43.2.e.a.21.1 | ✓ | 6 | |
43.35 | even | 7 | 1849.2.a.k.1.3 | 3 | |||
129.107 | odd | 14 | 387.2.u.c.64.1 | 6 | |||
172.107 | odd | 14 | 688.2.u.b.193.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.e.a.21.1 | ✓ | 6 | 43.21 | even | 7 | inner | |
43.2.e.a.41.1 | yes | 6 | 1.1 | even | 1 | trivial | |
387.2.u.c.64.1 | 6 | 129.107 | odd | 14 | |||
387.2.u.c.127.1 | 6 | 3.2 | odd | 2 | |||
688.2.u.b.193.1 | 6 | 172.107 | odd | 14 | |||
688.2.u.b.385.1 | 6 | 4.3 | odd | 2 | |||
1849.2.a.j.1.1 | 3 | 43.8 | odd | 14 | |||
1849.2.a.k.1.3 | 3 | 43.35 | even | 7 |