Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6017,2,Mod(1,6017)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6017, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6017.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6017 = 11 \cdot 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6017.a (trivial) |
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: | yes |
Analytic conductor: | \(48.0459868962\) |
Analytic rank: | \(0\) |
Dimension: | \(121\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.5 | ||
Character | \(\chi\) | \(=\) | 6017.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.68922 | −1.90157 | −0.950784 | − | 0.309854i | \(-0.899720\pi\) | ||||
−0.950784 | + | 0.309854i | \(0.899720\pi\) | |||||||
\(3\) | 1.49908 | 0.865494 | 0.432747 | − | 0.901515i | \(-0.357544\pi\) | ||||
0.432747 | + | 0.901515i | \(0.357544\pi\) | |||||||
\(4\) | 5.23192 | 2.61596 | ||||||||
\(5\) | −2.86648 | −1.28193 | −0.640965 | − | 0.767570i | \(-0.721466\pi\) | ||||
−0.640965 | + | 0.767570i | \(0.721466\pi\) | |||||||
\(6\) | −4.03136 | −1.64580 | ||||||||
\(7\) | 3.78429 | 1.43033 | 0.715163 | − | 0.698957i | \(-0.246352\pi\) | ||||
0.715163 | + | 0.698957i | \(0.246352\pi\) | |||||||
\(8\) | −8.69136 | −3.07286 | ||||||||
\(9\) | −0.752759 | −0.250920 | ||||||||
\(10\) | 7.70861 | 2.43768 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 7.84307 | 2.26410 | ||||||||
\(13\) | 1.85578 | 0.514700 | 0.257350 | − | 0.966318i | \(-0.417151\pi\) | ||||
0.257350 | + | 0.966318i | \(0.417151\pi\) | |||||||
\(14\) | −10.1768 | −2.71986 | ||||||||
\(15\) | −4.29709 | −1.10950 | ||||||||
\(16\) | 12.9092 | 3.22729 | ||||||||
\(17\) | 3.20703 | 0.777818 | 0.388909 | − | 0.921276i | \(-0.372852\pi\) | ||||
0.388909 | + | 0.921276i | \(0.372852\pi\) | |||||||
\(18\) | 2.02434 | 0.477141 | ||||||||
\(19\) | −4.08784 | −0.937814 | −0.468907 | − | 0.883247i | \(-0.655352\pi\) | ||||
−0.468907 | + | 0.883247i | \(0.655352\pi\) | |||||||
\(20\) | −14.9972 | −3.35348 | ||||||||
\(21\) | 5.67295 | 1.23794 | ||||||||
\(22\) | 2.68922 | 0.573344 | ||||||||
\(23\) | −2.33132 | −0.486114 | −0.243057 | − | 0.970012i | \(-0.578150\pi\) | ||||
−0.243057 | + | 0.970012i | \(0.578150\pi\) | |||||||
\(24\) | −13.0290 | −2.65954 | ||||||||
\(25\) | 3.21672 | 0.643343 | ||||||||
\(26\) | −4.99060 | −0.978737 | ||||||||
\(27\) | −5.62569 | −1.08266 | ||||||||
\(28\) | 19.7991 | 3.74168 | ||||||||
\(29\) | 0.511276 | 0.0949416 | 0.0474708 | − | 0.998873i | \(-0.484884\pi\) | ||||
0.0474708 | + | 0.998873i | \(0.484884\pi\) | |||||||
\(30\) | 11.5558 | 2.10979 | ||||||||
\(31\) | −4.10058 | −0.736486 | −0.368243 | − | 0.929730i | \(-0.620040\pi\) | ||||
−0.368243 | + | 0.929730i | \(0.620040\pi\) | |||||||
\(32\) | −17.3329 | −3.06405 | ||||||||
\(33\) | −1.49908 | −0.260956 | ||||||||
\(34\) | −8.62441 | −1.47907 | ||||||||
\(35\) | −10.8476 | −1.83358 | ||||||||
\(36\) | −3.93837 | −0.656396 | ||||||||
\(37\) | 6.63750 | 1.09120 | 0.545599 | − | 0.838046i | \(-0.316302\pi\) | ||||
0.545599 | + | 0.838046i | \(0.316302\pi\) | |||||||
\(38\) | 10.9931 | 1.78332 | ||||||||
\(39\) | 2.78196 | 0.445470 | ||||||||
\(40\) | 24.9136 | 3.93919 | ||||||||
\(41\) | 3.51367 | 0.548744 | 0.274372 | − | 0.961624i | \(-0.411530\pi\) | ||||
0.274372 | + | 0.961624i | \(0.411530\pi\) | |||||||
\(42\) | −15.2558 | −2.35403 | ||||||||
\(43\) | 0.148781 | 0.0226890 | 0.0113445 | − | 0.999936i | \(-0.496389\pi\) | ||||
0.0113445 | + | 0.999936i | \(0.496389\pi\) | |||||||
\(44\) | −5.23192 | −0.788742 | ||||||||
\(45\) | 2.15777 | 0.321661 | ||||||||
\(46\) | 6.26944 | 0.924378 | ||||||||
\(47\) | −10.7846 | −1.57310 | −0.786550 | − | 0.617527i | \(-0.788135\pi\) | ||||
−0.786550 | + | 0.617527i | \(0.788135\pi\) | |||||||
\(48\) | 19.3519 | 2.79320 | ||||||||
\(49\) | 7.32084 | 1.04583 | ||||||||
\(50\) | −8.65047 | −1.22336 | ||||||||
\(51\) | 4.80759 | 0.673197 | ||||||||
\(52\) | 9.70928 | 1.34644 | ||||||||
\(53\) | 3.16790 | 0.435144 | 0.217572 | − | 0.976044i | \(-0.430186\pi\) | ||||
0.217572 | + | 0.976044i | \(0.430186\pi\) | |||||||
\(54\) | 15.1287 | 2.05876 | ||||||||
\(55\) | 2.86648 | 0.386516 | ||||||||
\(56\) | −32.8906 | −4.39519 | ||||||||
\(57\) | −6.12800 | −0.811673 | ||||||||
\(58\) | −1.37494 | −0.180538 | ||||||||
\(59\) | 10.0087 | 1.30302 | 0.651510 | − | 0.758640i | \(-0.274136\pi\) | ||||
0.651510 | + | 0.758640i | \(0.274136\pi\) | |||||||
\(60\) | −22.4820 | −2.90242 | ||||||||
\(61\) | −2.13383 | −0.273209 | −0.136605 | − | 0.990626i | \(-0.543619\pi\) | ||||
−0.136605 | + | 0.990626i | \(0.543619\pi\) | |||||||
\(62\) | 11.0274 | 1.40048 | ||||||||
\(63\) | −2.84866 | −0.358897 | ||||||||
\(64\) | 20.7937 | 2.59922 | ||||||||
\(65\) | −5.31955 | −0.659809 | ||||||||
\(66\) | 4.03136 | 0.496226 | ||||||||
\(67\) | 0.293049 | 0.0358016 | 0.0179008 | − | 0.999840i | \(-0.494302\pi\) | ||||
0.0179008 | + | 0.999840i | \(0.494302\pi\) | |||||||
\(68\) | 16.7789 | 2.03474 | ||||||||
\(69\) | −3.49483 | −0.420729 | ||||||||
\(70\) | 29.1716 | 3.48667 | ||||||||
\(71\) | 14.0686 | 1.66963 | 0.834816 | − | 0.550529i | \(-0.185574\pi\) | ||||
0.834816 | + | 0.550529i | \(0.185574\pi\) | |||||||
\(72\) | 6.54250 | 0.771041 | ||||||||
\(73\) | 0.0439670 | 0.00514595 | 0.00257298 | − | 0.999997i | \(-0.499181\pi\) | ||||
0.00257298 | + | 0.999997i | \(0.499181\pi\) | |||||||
\(74\) | −17.8497 | −2.07499 | ||||||||
\(75\) | 4.82212 | 0.556810 | ||||||||
\(76\) | −21.3873 | −2.45329 | ||||||||
\(77\) | −3.78429 | −0.431260 | ||||||||
\(78\) | −7.48131 | −0.847091 | ||||||||
\(79\) | 15.4089 | 1.73363 | 0.866817 | − | 0.498626i | \(-0.166162\pi\) | ||||
0.866817 | + | 0.498626i | \(0.166162\pi\) | |||||||
\(80\) | −37.0039 | −4.13716 | ||||||||
\(81\) | −6.17508 | −0.686120 | ||||||||
\(82\) | −9.44905 | −1.04347 | ||||||||
\(83\) | −10.2564 | −1.12579 | −0.562895 | − | 0.826528i | \(-0.690312\pi\) | ||||
−0.562895 | + | 0.826528i | \(0.690312\pi\) | |||||||
\(84\) | 29.6804 | 3.23840 | ||||||||
\(85\) | −9.19288 | −0.997108 | ||||||||
\(86\) | −0.400106 | −0.0431446 | ||||||||
\(87\) | 0.766444 | 0.0821714 | ||||||||
\(88\) | 8.69136 | 0.926502 | ||||||||
\(89\) | −4.14310 | −0.439167 | −0.219584 | − | 0.975594i | \(-0.570470\pi\) | ||||
−0.219584 | + | 0.975594i | \(0.570470\pi\) | |||||||
\(90\) | −5.80272 | −0.611661 | ||||||||
\(91\) | 7.02280 | 0.736189 | ||||||||
\(92\) | −12.1973 | −1.27165 | ||||||||
\(93\) | −6.14710 | −0.637424 | ||||||||
\(94\) | 29.0023 | 2.99136 | ||||||||
\(95\) | 11.7177 | 1.20221 | ||||||||
\(96\) | −25.9834 | −2.65192 | ||||||||
\(97\) | 19.2019 | 1.94966 | 0.974831 | − | 0.222944i | \(-0.0715668\pi\) | ||||
0.974831 | + | 0.222944i | \(0.0715668\pi\) | |||||||
\(98\) | −19.6874 | −1.98873 | ||||||||
\(99\) | 0.752759 | 0.0756551 | ||||||||
\(100\) | 16.8296 | 1.68296 | ||||||||
\(101\) | −8.62601 | −0.858320 | −0.429160 | − | 0.903228i | \(-0.641190\pi\) | ||||
−0.429160 | + | 0.903228i | \(0.641190\pi\) | |||||||
\(102\) | −12.9287 | −1.28013 | ||||||||
\(103\) | −8.48439 | −0.835992 | −0.417996 | − | 0.908449i | \(-0.637267\pi\) | ||||
−0.417996 | + | 0.908449i | \(0.637267\pi\) | |||||||
\(104\) | −16.1292 | −1.58160 | ||||||||
\(105\) | −16.2614 | −1.58695 | ||||||||
\(106\) | −8.51919 | −0.827457 | ||||||||
\(107\) | 3.00743 | 0.290739 | 0.145370 | − | 0.989377i | \(-0.453563\pi\) | ||||
0.145370 | + | 0.989377i | \(0.453563\pi\) | |||||||
\(108\) | −29.4332 | −2.83221 | ||||||||
\(109\) | 4.70299 | 0.450464 | 0.225232 | − | 0.974305i | \(-0.427686\pi\) | ||||
0.225232 | + | 0.974305i | \(0.427686\pi\) | |||||||
\(110\) | −7.70861 | −0.734987 | ||||||||
\(111\) | 9.95015 | 0.944427 | ||||||||
\(112\) | 48.8520 | 4.61608 | ||||||||
\(113\) | −13.1078 | −1.23308 | −0.616538 | − | 0.787325i | \(-0.711465\pi\) | ||||
−0.616538 | + | 0.787325i | \(0.711465\pi\) | |||||||
\(114\) | 16.4796 | 1.54345 | ||||||||
\(115\) | 6.68268 | 0.623164 | ||||||||
\(116\) | 2.67496 | 0.248363 | ||||||||
\(117\) | −1.39695 | −0.129148 | ||||||||
\(118\) | −26.9156 | −2.47778 | ||||||||
\(119\) | 12.1363 | 1.11253 | ||||||||
\(120\) | 37.3475 | 3.40935 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 5.73836 | 0.519526 | ||||||||
\(123\) | 5.26728 | 0.474935 | ||||||||
\(124\) | −21.4539 | −1.92662 | ||||||||
\(125\) | 5.11175 | 0.457209 | ||||||||
\(126\) | 7.66067 | 0.682467 | ||||||||
\(127\) | −9.02513 | −0.800851 | −0.400425 | − | 0.916329i | \(-0.631138\pi\) | ||||
−0.400425 | + | 0.916329i | \(0.631138\pi\) | |||||||
\(128\) | −21.2532 | −1.87853 | ||||||||
\(129\) | 0.223035 | 0.0196372 | ||||||||
\(130\) | 14.3055 | 1.25467 | ||||||||
\(131\) | 11.9248 | 1.04187 | 0.520936 | − | 0.853595i | \(-0.325583\pi\) | ||||
0.520936 | + | 0.853595i | \(0.325583\pi\) | |||||||
\(132\) | −7.84307 | −0.682652 | ||||||||
\(133\) | −15.4696 | −1.34138 | ||||||||
\(134\) | −0.788074 | −0.0680792 | ||||||||
\(135\) | 16.1259 | 1.38790 | ||||||||
\(136\) | −27.8734 | −2.39013 | ||||||||
\(137\) | 22.8099 | 1.94878 | 0.974392 | − | 0.224854i | \(-0.0721906\pi\) | ||||
0.974392 | + | 0.224854i | \(0.0721906\pi\) | |||||||
\(138\) | 9.39839 | 0.800044 | ||||||||
\(139\) | −10.5106 | −0.891499 | −0.445750 | − | 0.895158i | \(-0.647063\pi\) | ||||
−0.445750 | + | 0.895158i | \(0.647063\pi\) | |||||||
\(140\) | −56.7538 | −4.79657 | ||||||||
\(141\) | −16.1670 | −1.36151 | ||||||||
\(142\) | −37.8335 | −3.17492 | ||||||||
\(143\) | −1.85578 | −0.155188 | ||||||||
\(144\) | −9.71749 | −0.809790 | ||||||||
\(145\) | −1.46556 | −0.121708 | ||||||||
\(146\) | −0.118237 | −0.00978538 | ||||||||
\(147\) | 10.9745 | 0.905164 | ||||||||
\(148\) | 34.7269 | 2.85453 | ||||||||
\(149\) | −7.14234 | −0.585123 | −0.292562 | − | 0.956247i | \(-0.594508\pi\) | ||||
−0.292562 | + | 0.956247i | \(0.594508\pi\) | |||||||
\(150\) | −12.9677 | −1.05881 | ||||||||
\(151\) | 22.4610 | 1.82785 | 0.913924 | − | 0.405886i | \(-0.133037\pi\) | ||||
0.913924 | + | 0.405886i | \(0.133037\pi\) | |||||||
\(152\) | 35.5289 | 2.88177 | ||||||||
\(153\) | −2.41412 | −0.195170 | ||||||||
\(154\) | 10.1768 | 0.820070 | ||||||||
\(155\) | 11.7542 | 0.944123 | ||||||||
\(156\) | 14.5550 | 1.16533 | ||||||||
\(157\) | −2.95748 | −0.236033 | −0.118016 | − | 0.993012i | \(-0.537654\pi\) | ||||
−0.118016 | + | 0.993012i | \(0.537654\pi\) | |||||||
\(158\) | −41.4379 | −3.29662 | ||||||||
\(159\) | 4.74894 | 0.376615 | ||||||||
\(160\) | 49.6845 | 3.92790 | ||||||||
\(161\) | −8.82239 | −0.695301 | ||||||||
\(162\) | 16.6062 | 1.30470 | ||||||||
\(163\) | 14.1849 | 1.11105 | 0.555523 | − | 0.831501i | \(-0.312518\pi\) | ||||
0.555523 | + | 0.831501i | \(0.312518\pi\) | |||||||
\(164\) | 18.3833 | 1.43549 | ||||||||
\(165\) | 4.29709 | 0.334528 | ||||||||
\(166\) | 27.5818 | 2.14077 | ||||||||
\(167\) | 1.38595 | 0.107248 | 0.0536239 | − | 0.998561i | \(-0.482923\pi\) | ||||
0.0536239 | + | 0.998561i | \(0.482923\pi\) | |||||||
\(168\) | −49.3057 | −3.80401 | ||||||||
\(169\) | −9.55609 | −0.735084 | ||||||||
\(170\) | 24.7217 | 1.89607 | ||||||||
\(171\) | 3.07716 | 0.235316 | ||||||||
\(172\) | 0.778413 | 0.0593534 | ||||||||
\(173\) | −2.10820 | −0.160284 | −0.0801418 | − | 0.996783i | \(-0.525537\pi\) | ||||
−0.0801418 | + | 0.996783i | \(0.525537\pi\) | |||||||
\(174\) | −2.06114 | −0.156254 | ||||||||
\(175\) | 12.1730 | 0.920191 | ||||||||
\(176\) | −12.9092 | −0.973065 | ||||||||
\(177\) | 15.0038 | 1.12776 | ||||||||
\(178\) | 11.1417 | 0.835107 | ||||||||
\(179\) | 0.0684199 | 0.00511394 | 0.00255697 | − | 0.999997i | \(-0.499186\pi\) | ||||
0.00255697 | + | 0.999997i | \(0.499186\pi\) | |||||||
\(180\) | 11.2893 | 0.841453 | ||||||||
\(181\) | 1.09426 | 0.0813361 | 0.0406680 | − | 0.999173i | \(-0.487051\pi\) | ||||
0.0406680 | + | 0.999173i | \(0.487051\pi\) | |||||||
\(182\) | −18.8859 | −1.39991 | ||||||||
\(183\) | −3.19879 | −0.236461 | ||||||||
\(184\) | 20.2623 | 1.49376 | ||||||||
\(185\) | −19.0263 | −1.39884 | ||||||||
\(186\) | 16.5309 | 1.21211 | ||||||||
\(187\) | −3.20703 | −0.234521 | ||||||||
\(188\) | −56.4243 | −4.11517 | ||||||||
\(189\) | −21.2892 | −1.54856 | ||||||||
\(190\) | −31.5115 | −2.28609 | ||||||||
\(191\) | −6.55699 | −0.474447 | −0.237224 | − | 0.971455i | \(-0.576237\pi\) | ||||
−0.237224 | + | 0.971455i | \(0.576237\pi\) | |||||||
\(192\) | 31.1715 | 2.24961 | ||||||||
\(193\) | 11.1730 | 0.804247 | 0.402124 | − | 0.915585i | \(-0.368272\pi\) | ||||
0.402124 | + | 0.915585i | \(0.368272\pi\) | |||||||
\(194\) | −51.6383 | −3.70742 | ||||||||
\(195\) | −7.97443 | −0.571061 | ||||||||
\(196\) | 38.3021 | 2.73586 | ||||||||
\(197\) | −22.0077 | −1.56798 | −0.783992 | − | 0.620771i | \(-0.786820\pi\) | ||||
−0.783992 | + | 0.620771i | \(0.786820\pi\) | |||||||
\(198\) | −2.02434 | −0.143863 | ||||||||
\(199\) | 25.8829 | 1.83479 | 0.917396 | − | 0.397975i | \(-0.130287\pi\) | ||||
0.917396 | + | 0.397975i | \(0.130287\pi\) | |||||||
\(200\) | −27.9576 | −1.97690 | ||||||||
\(201\) | 0.439304 | 0.0309861 | ||||||||
\(202\) | 23.1973 | 1.63215 | ||||||||
\(203\) | 1.93482 | 0.135797 | ||||||||
\(204\) | 25.1529 | 1.76106 | ||||||||
\(205\) | −10.0719 | −0.703451 | ||||||||
\(206\) | 22.8164 | 1.58970 | ||||||||
\(207\) | 1.75492 | 0.121975 | ||||||||
\(208\) | 23.9565 | 1.66109 | ||||||||
\(209\) | 4.08784 | 0.282762 | ||||||||
\(210\) | 43.7306 | 3.01770 | ||||||||
\(211\) | −19.7742 | −1.36131 | −0.680656 | − | 0.732603i | \(-0.738305\pi\) | ||||
−0.680656 | + | 0.732603i | \(0.738305\pi\) | |||||||
\(212\) | 16.5742 | 1.13832 | ||||||||
\(213\) | 21.0899 | 1.44506 | ||||||||
\(214\) | −8.08766 | −0.552861 | ||||||||
\(215\) | −0.426479 | −0.0290856 | ||||||||
\(216\) | 48.8949 | 3.32687 | ||||||||
\(217\) | −15.5178 | −1.05342 | ||||||||
\(218\) | −12.6474 | −0.856589 | ||||||||
\(219\) | 0.0659101 | 0.00445379 | ||||||||
\(220\) | 14.9972 | 1.01111 | ||||||||
\(221\) | 5.95153 | 0.400343 | ||||||||
\(222\) | −26.7582 | −1.79589 | ||||||||
\(223\) | 16.8864 | 1.13080 | 0.565398 | − | 0.824818i | \(-0.308722\pi\) | ||||
0.565398 | + | 0.824818i | \(0.308722\pi\) | |||||||
\(224\) | −65.5927 | −4.38260 | ||||||||
\(225\) | −2.42141 | −0.161427 | ||||||||
\(226\) | 35.2498 | 2.34478 | ||||||||
\(227\) | 1.78535 | 0.118498 | 0.0592490 | − | 0.998243i | \(-0.481129\pi\) | ||||
0.0592490 | + | 0.998243i | \(0.481129\pi\) | |||||||
\(228\) | −32.0612 | −2.12331 | ||||||||
\(229\) | 18.5017 | 1.22263 | 0.611313 | − | 0.791389i | \(-0.290642\pi\) | ||||
0.611313 | + | 0.791389i | \(0.290642\pi\) | |||||||
\(230\) | −17.9712 | −1.18499 | ||||||||
\(231\) | −5.67295 | −0.373253 | ||||||||
\(232\) | −4.44368 | −0.291742 | ||||||||
\(233\) | 11.8720 | 0.777762 | 0.388881 | − | 0.921288i | \(-0.372862\pi\) | ||||
0.388881 | + | 0.921288i | \(0.372862\pi\) | |||||||
\(234\) | 3.75672 | 0.245584 | ||||||||
\(235\) | 30.9139 | 2.01660 | ||||||||
\(236\) | 52.3647 | 3.40865 | ||||||||
\(237\) | 23.0991 | 1.50045 | ||||||||
\(238\) | −32.6372 | −2.11556 | ||||||||
\(239\) | −3.08304 | −0.199425 | −0.0997125 | − | 0.995016i | \(-0.531792\pi\) | ||||
−0.0997125 | + | 0.995016i | \(0.531792\pi\) | |||||||
\(240\) | −55.4718 | −3.58069 | ||||||||
\(241\) | 21.5953 | 1.39108 | 0.695538 | − | 0.718489i | \(-0.255166\pi\) | ||||
0.695538 | + | 0.718489i | \(0.255166\pi\) | |||||||
\(242\) | −2.68922 | −0.172870 | ||||||||
\(243\) | 7.62012 | 0.488831 | ||||||||
\(244\) | −11.1641 | −0.714705 | ||||||||
\(245\) | −20.9851 | −1.34069 | ||||||||
\(246\) | −14.1649 | −0.903120 | ||||||||
\(247\) | −7.58612 | −0.482693 | ||||||||
\(248\) | 35.6396 | 2.26312 | ||||||||
\(249\) | −15.3752 | −0.974365 | ||||||||
\(250\) | −13.7466 | −0.869413 | ||||||||
\(251\) | 7.85921 | 0.496069 | 0.248034 | − | 0.968751i | \(-0.420215\pi\) | ||||
0.248034 | + | 0.968751i | \(0.420215\pi\) | |||||||
\(252\) | −14.9039 | −0.938860 | ||||||||
\(253\) | 2.33132 | 0.146569 | ||||||||
\(254\) | 24.2706 | 1.52287 | ||||||||
\(255\) | −13.7809 | −0.862991 | ||||||||
\(256\) | 15.5670 | 0.972939 | ||||||||
\(257\) | 9.44886 | 0.589404 | 0.294702 | − | 0.955589i | \(-0.404780\pi\) | ||||
0.294702 | + | 0.955589i | \(0.404780\pi\) | |||||||
\(258\) | −0.599792 | −0.0373414 | ||||||||
\(259\) | 25.1182 | 1.56077 | ||||||||
\(260\) | −27.8315 | −1.72604 | ||||||||
\(261\) | −0.384867 | −0.0238227 | ||||||||
\(262\) | −32.0684 | −1.98119 | ||||||||
\(263\) | 18.0588 | 1.11355 | 0.556777 | − | 0.830662i | \(-0.312038\pi\) | ||||
0.556777 | + | 0.830662i | \(0.312038\pi\) | |||||||
\(264\) | 13.0290 | 0.801882 | ||||||||
\(265\) | −9.08073 | −0.557825 | ||||||||
\(266\) | 41.6011 | 2.55073 | ||||||||
\(267\) | −6.21083 | −0.380097 | ||||||||
\(268\) | 1.53321 | 0.0936556 | ||||||||
\(269\) | 2.47730 | 0.151044 | 0.0755219 | − | 0.997144i | \(-0.475938\pi\) | ||||
0.0755219 | + | 0.997144i | \(0.475938\pi\) | |||||||
\(270\) | −43.3662 | −2.63918 | ||||||||
\(271\) | −6.83552 | −0.415228 | −0.207614 | − | 0.978211i | \(-0.566570\pi\) | ||||
−0.207614 | + | 0.978211i | \(0.566570\pi\) | |||||||
\(272\) | 41.4000 | 2.51024 | ||||||||
\(273\) | 10.5277 | 0.637168 | ||||||||
\(274\) | −61.3410 | −3.70575 | ||||||||
\(275\) | −3.21672 | −0.193975 | ||||||||
\(276\) | −18.2847 | −1.10061 | ||||||||
\(277\) | −20.9540 | −1.25900 | −0.629501 | − | 0.777000i | \(-0.716741\pi\) | ||||
−0.629501 | + | 0.777000i | \(0.716741\pi\) | |||||||
\(278\) | 28.2654 | 1.69525 | ||||||||
\(279\) | 3.08675 | 0.184799 | ||||||||
\(280\) | 94.2803 | 5.63433 | ||||||||
\(281\) | 20.2014 | 1.20511 | 0.602557 | − | 0.798076i | \(-0.294149\pi\) | ||||
0.602557 | + | 0.798076i | \(0.294149\pi\) | |||||||
\(282\) | 43.4767 | 2.58900 | ||||||||
\(283\) | −0.866820 | −0.0515271 | −0.0257635 | − | 0.999668i | \(-0.508202\pi\) | ||||
−0.0257635 | + | 0.999668i | \(0.508202\pi\) | |||||||
\(284\) | 73.6057 | 4.36769 | ||||||||
\(285\) | 17.5658 | 1.04051 | ||||||||
\(286\) | 4.99060 | 0.295100 | ||||||||
\(287\) | 13.2968 | 0.784883 | ||||||||
\(288\) | 13.0475 | 0.768831 | ||||||||
\(289\) | −6.71499 | −0.394999 | ||||||||
\(290\) | 3.94123 | 0.231437 | ||||||||
\(291\) | 28.7853 | 1.68742 | ||||||||
\(292\) | 0.230032 | 0.0134616 | ||||||||
\(293\) | −8.47648 | −0.495201 | −0.247601 | − | 0.968862i | \(-0.579642\pi\) | ||||
−0.247601 | + | 0.968862i | \(0.579642\pi\) | |||||||
\(294\) | −29.5130 | −1.72123 | ||||||||
\(295\) | −28.6897 | −1.67038 | ||||||||
\(296\) | −57.6889 | −3.35310 | ||||||||
\(297\) | 5.62569 | 0.326435 | ||||||||
\(298\) | 19.2073 | 1.11265 | ||||||||
\(299\) | −4.32641 | −0.250203 | ||||||||
\(300\) | 25.2289 | 1.45659 | ||||||||
\(301\) | 0.563032 | 0.0324526 | ||||||||
\(302\) | −60.4025 | −3.47578 | ||||||||
\(303\) | −12.9311 | −0.742871 | ||||||||
\(304\) | −52.7706 | −3.02660 | ||||||||
\(305\) | 6.11660 | 0.350235 | ||||||||
\(306\) | 6.49210 | 0.371129 | ||||||||
\(307\) | 16.4243 | 0.937384 | 0.468692 | − | 0.883362i | \(-0.344725\pi\) | ||||
0.468692 | + | 0.883362i | \(0.344725\pi\) | |||||||
\(308\) | −19.7991 | −1.12816 | ||||||||
\(309\) | −12.7188 | −0.723546 | ||||||||
\(310\) | −31.6098 | −1.79531 | ||||||||
\(311\) | 25.4844 | 1.44509 | 0.722543 | − | 0.691326i | \(-0.242973\pi\) | ||||
0.722543 | + | 0.691326i | \(0.242973\pi\) | |||||||
\(312\) | −24.1790 | −1.36887 | ||||||||
\(313\) | −29.3229 | −1.65743 | −0.828715 | − | 0.559671i | \(-0.810927\pi\) | ||||
−0.828715 | + | 0.559671i | \(0.810927\pi\) | |||||||
\(314\) | 7.95332 | 0.448832 | ||||||||
\(315\) | 8.16562 | 0.460081 | ||||||||
\(316\) | 80.6181 | 4.53512 | ||||||||
\(317\) | 11.8245 | 0.664129 | 0.332064 | − | 0.943257i | \(-0.392255\pi\) | ||||
0.332064 | + | 0.943257i | \(0.392255\pi\) | |||||||
\(318\) | −12.7709 | −0.716159 | ||||||||
\(319\) | −0.511276 | −0.0286260 | ||||||||
\(320\) | −59.6048 | −3.33201 | ||||||||
\(321\) | 4.50838 | 0.251633 | ||||||||
\(322\) | 23.7254 | 1.32216 | ||||||||
\(323\) | −13.1098 | −0.729449 | ||||||||
\(324\) | −32.3075 | −1.79486 | ||||||||
\(325\) | 5.96951 | 0.331129 | ||||||||
\(326\) | −38.1463 | −2.11273 | ||||||||
\(327\) | 7.05015 | 0.389874 | ||||||||
\(328\) | −30.5386 | −1.68621 | ||||||||
\(329\) | −40.8121 | −2.25005 | ||||||||
\(330\) | −11.5558 | −0.636127 | ||||||||
\(331\) | −2.23342 | −0.122760 | −0.0613800 | − | 0.998114i | \(-0.519550\pi\) | ||||
−0.0613800 | + | 0.998114i | \(0.519550\pi\) | |||||||
\(332\) | −53.6609 | −2.94502 | ||||||||
\(333\) | −4.99644 | −0.273803 | ||||||||
\(334\) | −3.72712 | −0.203939 | ||||||||
\(335\) | −0.840019 | −0.0458951 | ||||||||
\(336\) | 73.2331 | 3.99519 | ||||||||
\(337\) | −12.1560 | −0.662181 | −0.331090 | − | 0.943599i | \(-0.607416\pi\) | ||||
−0.331090 | + | 0.943599i | \(0.607416\pi\) | |||||||
\(338\) | 25.6985 | 1.39781 | ||||||||
\(339\) | −19.6496 | −1.06722 | ||||||||
\(340\) | −48.0964 | −2.60840 | ||||||||
\(341\) | 4.10058 | 0.222059 | ||||||||
\(342\) | −8.27516 | −0.447469 | ||||||||
\(343\) | 1.21416 | 0.0655584 | ||||||||
\(344\) | −1.29311 | −0.0697200 | ||||||||
\(345\) | 10.0179 | 0.539345 | ||||||||
\(346\) | 5.66943 | 0.304790 | ||||||||
\(347\) | −0.487087 | −0.0261482 | −0.0130741 | − | 0.999915i | \(-0.504162\pi\) | ||||
−0.0130741 | + | 0.999915i | \(0.504162\pi\) | |||||||
\(348\) | 4.00997 | 0.214957 | ||||||||
\(349\) | −20.8734 | −1.11733 | −0.558663 | − | 0.829394i | \(-0.688686\pi\) | ||||
−0.558663 | + | 0.829394i | \(0.688686\pi\) | |||||||
\(350\) | −32.7359 | −1.74981 | ||||||||
\(351\) | −10.4400 | −0.557247 | ||||||||
\(352\) | 17.3329 | 0.923847 | ||||||||
\(353\) | 24.8871 | 1.32461 | 0.662304 | − | 0.749235i | \(-0.269579\pi\) | ||||
0.662304 | + | 0.749235i | \(0.269579\pi\) | |||||||
\(354\) | −40.3486 | −2.14451 | ||||||||
\(355\) | −40.3273 | −2.14035 | ||||||||
\(356\) | −21.6764 | −1.14884 | ||||||||
\(357\) | 18.1933 | 0.962892 | ||||||||
\(358\) | −0.183996 | −0.00972450 | ||||||||
\(359\) | 0.678665 | 0.0358186 | 0.0179093 | − | 0.999840i | \(-0.494299\pi\) | ||||
0.0179093 | + | 0.999840i | \(0.494299\pi\) | |||||||
\(360\) | −18.7539 | −0.988420 | ||||||||
\(361\) | −2.28958 | −0.120504 | ||||||||
\(362\) | −2.94272 | −0.154666 | ||||||||
\(363\) | 1.49908 | 0.0786813 | ||||||||
\(364\) | 36.7427 | 1.92584 | ||||||||
\(365\) | −0.126031 | −0.00659675 | ||||||||
\(366\) | 8.60226 | 0.449647 | ||||||||
\(367\) | 8.86766 | 0.462888 | 0.231444 | − | 0.972848i | \(-0.425655\pi\) | ||||
0.231444 | + | 0.972848i | \(0.425655\pi\) | |||||||
\(368\) | −30.0954 | −1.56883 | ||||||||
\(369\) | −2.64495 | −0.137691 | ||||||||
\(370\) | 51.1659 | 2.65999 | ||||||||
\(371\) | 11.9882 | 0.622399 | ||||||||
\(372\) | −32.1611 | −1.66748 | ||||||||
\(373\) | −22.4992 | −1.16496 | −0.582481 | − | 0.812844i | \(-0.697918\pi\) | ||||
−0.582481 | + | 0.812844i | \(0.697918\pi\) | |||||||
\(374\) | 8.62441 | 0.445957 | ||||||||
\(375\) | 7.66292 | 0.395711 | ||||||||
\(376\) | 93.7331 | 4.83391 | ||||||||
\(377\) | 0.948814 | 0.0488664 | ||||||||
\(378\) | 57.2515 | 2.94470 | ||||||||
\(379\) | 18.3335 | 0.941730 | 0.470865 | − | 0.882205i | \(-0.343942\pi\) | ||||
0.470865 | + | 0.882205i | \(0.343942\pi\) | |||||||
\(380\) | 61.3062 | 3.14494 | ||||||||
\(381\) | −13.5294 | −0.693132 | ||||||||
\(382\) | 17.6332 | 0.902193 | ||||||||
\(383\) | −12.4785 | −0.637621 | −0.318811 | − | 0.947818i | \(-0.603283\pi\) | ||||
−0.318811 | + | 0.947818i | \(0.603283\pi\) | |||||||
\(384\) | −31.8602 | −1.62586 | ||||||||
\(385\) | 10.8476 | 0.552845 | ||||||||
\(386\) | −30.0466 | −1.52933 | ||||||||
\(387\) | −0.111996 | −0.00569310 | ||||||||
\(388\) | 100.463 | 5.10024 | ||||||||
\(389\) | 7.16831 | 0.363448 | 0.181724 | − | 0.983350i | \(-0.441832\pi\) | ||||
0.181724 | + | 0.983350i | \(0.441832\pi\) | |||||||
\(390\) | 21.4450 | 1.08591 | ||||||||
\(391\) | −7.47660 | −0.378108 | ||||||||
\(392\) | −63.6281 | −3.21370 | ||||||||
\(393\) | 17.8762 | 0.901735 | ||||||||
\(394\) | 59.1836 | 2.98163 | ||||||||
\(395\) | −44.1693 | −2.22240 | ||||||||
\(396\) | 3.93837 | 0.197911 | ||||||||
\(397\) | 36.0707 | 1.81034 | 0.905169 | − | 0.425052i | \(-0.139744\pi\) | ||||
0.905169 | + | 0.425052i | \(0.139744\pi\) | |||||||
\(398\) | −69.6050 | −3.48898 | ||||||||
\(399\) | −23.1901 | −1.16096 | ||||||||
\(400\) | 41.5251 | 2.07626 | ||||||||
\(401\) | 17.7890 | 0.888339 | 0.444170 | − | 0.895943i | \(-0.353499\pi\) | ||||
0.444170 | + | 0.895943i | \(0.353499\pi\) | |||||||
\(402\) | −1.18139 | −0.0589222 | ||||||||
\(403\) | −7.60976 | −0.379069 | ||||||||
\(404\) | −45.1306 | −2.24533 | ||||||||
\(405\) | 17.7007 | 0.879557 | ||||||||
\(406\) | −5.20315 | −0.258228 | ||||||||
\(407\) | −6.63750 | −0.329009 | ||||||||
\(408\) | −41.7845 | −2.06864 | ||||||||
\(409\) | −3.65192 | −0.180576 | −0.0902878 | − | 0.995916i | \(-0.528779\pi\) | ||||
−0.0902878 | + | 0.995916i | \(0.528779\pi\) | |||||||
\(410\) | 27.0855 | 1.33766 | ||||||||
\(411\) | 34.1939 | 1.68666 | ||||||||
\(412\) | −44.3897 | −2.18692 | ||||||||
\(413\) | 37.8758 | 1.86374 | ||||||||
\(414\) | −4.71937 | −0.231945 | ||||||||
\(415\) | 29.3999 | 1.44318 | ||||||||
\(416\) | −32.1660 | −1.57707 | ||||||||
\(417\) | −15.7563 | −0.771587 | ||||||||
\(418\) | −10.9931 | −0.537691 | ||||||||
\(419\) | −22.7534 | −1.11158 | −0.555789 | − | 0.831324i | \(-0.687584\pi\) | ||||
−0.555789 | + | 0.831324i | \(0.687584\pi\) | |||||||
\(420\) | −85.0784 | −4.15140 | ||||||||
\(421\) | −22.9314 | −1.11761 | −0.558803 | − | 0.829300i | \(-0.688739\pi\) | ||||
−0.558803 | + | 0.829300i | \(0.688739\pi\) | |||||||
\(422\) | 53.1772 | 2.58863 | ||||||||
\(423\) | 8.11822 | 0.394721 | ||||||||
\(424\) | −27.5334 | −1.33714 | ||||||||
\(425\) | 10.3161 | 0.500404 | ||||||||
\(426\) | −56.7155 | −2.74788 | ||||||||
\(427\) | −8.07504 | −0.390779 | ||||||||
\(428\) | 15.7346 | 0.760563 | ||||||||
\(429\) | −2.78196 | −0.134314 | ||||||||
\(430\) | 1.14690 | 0.0553083 | ||||||||
\(431\) | 2.84079 | 0.136836 | 0.0684181 | − | 0.997657i | \(-0.478205\pi\) | ||||
0.0684181 | + | 0.997657i | \(0.478205\pi\) | |||||||
\(432\) | −72.6229 | −3.49407 | ||||||||
\(433\) | 28.8377 | 1.38585 | 0.692926 | − | 0.721009i | \(-0.256321\pi\) | ||||
0.692926 | + | 0.721009i | \(0.256321\pi\) | |||||||
\(434\) | 41.7308 | 2.00314 | ||||||||
\(435\) | −2.19700 | −0.105338 | ||||||||
\(436\) | 24.6057 | 1.17840 | ||||||||
\(437\) | 9.53006 | 0.455884 | ||||||||
\(438\) | −0.177247 | −0.00846919 | ||||||||
\(439\) | −8.03415 | −0.383449 | −0.191725 | − | 0.981449i | \(-0.561408\pi\) | ||||
−0.191725 | + | 0.981449i | \(0.561408\pi\) | |||||||
\(440\) | −24.9136 | −1.18771 | ||||||||
\(441\) | −5.51083 | −0.262420 | ||||||||
\(442\) | −16.0050 | −0.761279 | ||||||||
\(443\) | −34.4702 | −1.63773 | −0.818864 | − | 0.573987i | \(-0.805396\pi\) | ||||
−0.818864 | + | 0.573987i | \(0.805396\pi\) | |||||||
\(444\) | 52.0584 | 2.47058 | ||||||||
\(445\) | 11.8761 | 0.562982 | ||||||||
\(446\) | −45.4113 | −2.15029 | ||||||||
\(447\) | −10.7069 | −0.506421 | ||||||||
\(448\) | 78.6894 | 3.71773 | ||||||||
\(449\) | −30.3079 | −1.43032 | −0.715160 | − | 0.698961i | \(-0.753646\pi\) | ||||
−0.715160 | + | 0.698961i | \(0.753646\pi\) | |||||||
\(450\) | 6.51172 | 0.306965 | ||||||||
\(451\) | −3.51367 | −0.165452 | ||||||||
\(452\) | −68.5789 | −3.22568 | ||||||||
\(453\) | 33.6708 | 1.58199 | ||||||||
\(454\) | −4.80121 | −0.225332 | ||||||||
\(455\) | −20.1307 | −0.943743 | ||||||||
\(456\) | 53.2606 | 2.49416 | ||||||||
\(457\) | −15.2224 | −0.712072 | −0.356036 | − | 0.934472i | \(-0.615872\pi\) | ||||
−0.356036 | + | 0.934472i | \(0.615872\pi\) | |||||||
\(458\) | −49.7551 | −2.32490 | ||||||||
\(459\) | −18.0417 | −0.842115 | ||||||||
\(460\) | 34.9633 | 1.63017 | ||||||||
\(461\) | 3.56188 | 0.165893 | 0.0829466 | − | 0.996554i | \(-0.473567\pi\) | ||||
0.0829466 | + | 0.996554i | \(0.473567\pi\) | |||||||
\(462\) | 15.2558 | 0.709766 | ||||||||
\(463\) | 11.5986 | 0.539033 | 0.269516 | − | 0.962996i | \(-0.413136\pi\) | ||||
0.269516 | + | 0.962996i | \(0.413136\pi\) | |||||||
\(464\) | 6.60015 | 0.306404 | ||||||||
\(465\) | 17.6205 | 0.817133 | ||||||||
\(466\) | −31.9265 | −1.47897 | ||||||||
\(467\) | 7.98447 | 0.369477 | 0.184739 | − | 0.982788i | \(-0.440856\pi\) | ||||
0.184739 | + | 0.982788i | \(0.440856\pi\) | |||||||
\(468\) | −7.30875 | −0.337847 | ||||||||
\(469\) | 1.10898 | 0.0512080 | ||||||||
\(470\) | −83.1345 | −3.83471 | ||||||||
\(471\) | −4.43350 | −0.204285 | ||||||||
\(472\) | −86.9891 | −4.00400 | ||||||||
\(473\) | −0.148781 | −0.00684098 | ||||||||
\(474\) | −62.1188 | −2.85321 | ||||||||
\(475\) | −13.1494 | −0.603337 | ||||||||
\(476\) | 63.4962 | 2.91034 | ||||||||
\(477\) | −2.38466 | −0.109186 | ||||||||
\(478\) | 8.29097 | 0.379220 | ||||||||
\(479\) | −36.8952 | −1.68579 | −0.842893 | − | 0.538081i | \(-0.819149\pi\) | ||||
−0.842893 | + | 0.538081i | \(0.819149\pi\) | |||||||
\(480\) | 74.4810 | 3.39958 | ||||||||
\(481\) | 12.3177 | 0.561640 | ||||||||
\(482\) | −58.0746 | −2.64523 | ||||||||
\(483\) | −13.2255 | −0.601779 | ||||||||
\(484\) | 5.23192 | 0.237815 | ||||||||
\(485\) | −55.0420 | −2.49933 | ||||||||
\(486\) | −20.4922 | −0.929545 | ||||||||
\(487\) | 0.241817 | 0.0109578 | 0.00547888 | − | 0.999985i | \(-0.498256\pi\) | ||||
0.00547888 | + | 0.999985i | \(0.498256\pi\) | |||||||
\(488\) | 18.5459 | 0.839534 | ||||||||
\(489\) | 21.2643 | 0.961603 | ||||||||
\(490\) | 56.4335 | 2.54941 | ||||||||
\(491\) | 35.4717 | 1.60082 | 0.800409 | − | 0.599455i | \(-0.204616\pi\) | ||||
0.800409 | + | 0.599455i | \(0.204616\pi\) | |||||||
\(492\) | 27.5580 | 1.24241 | ||||||||
\(493\) | 1.63967 | 0.0738472 | ||||||||
\(494\) | 20.4008 | 0.917874 | ||||||||
\(495\) | −2.15777 | −0.0969845 | ||||||||
\(496\) | −52.9350 | −2.37685 | ||||||||
\(497\) | 53.2395 | 2.38812 | ||||||||
\(498\) | 41.3474 | 1.85282 | ||||||||
\(499\) | 2.98552 | 0.133650 | 0.0668251 | − | 0.997765i | \(-0.478713\pi\) | ||||
0.0668251 | + | 0.997765i | \(0.478713\pi\) | |||||||
\(500\) | 26.7443 | 1.19604 | ||||||||
\(501\) | 2.07765 | 0.0928224 | ||||||||
\(502\) | −21.1352 | −0.943309 | ||||||||
\(503\) | −19.4881 | −0.868932 | −0.434466 | − | 0.900688i | \(-0.643063\pi\) | ||||
−0.434466 | + | 0.900688i | \(0.643063\pi\) | |||||||
\(504\) | 24.7587 | 1.10284 | ||||||||
\(505\) | 24.7263 | 1.10031 | ||||||||
\(506\) | −6.26944 | −0.278711 | ||||||||
\(507\) | −14.3253 | −0.636211 | ||||||||
\(508\) | −47.2188 | −2.09499 | ||||||||
\(509\) | 28.1571 | 1.24804 | 0.624022 | − | 0.781407i | \(-0.285498\pi\) | ||||
0.624022 | + | 0.781407i | \(0.285498\pi\) | |||||||
\(510\) | 37.0598 | 1.64104 | ||||||||
\(511\) | 0.166384 | 0.00736039 | ||||||||
\(512\) | 0.643083 | 0.0284205 | ||||||||
\(513\) | 22.9969 | 1.01534 | ||||||||
\(514\) | −25.4101 | −1.12079 | ||||||||
\(515\) | 24.3204 | 1.07168 | ||||||||
\(516\) | 1.16690 | 0.0513700 | ||||||||
\(517\) | 10.7846 | 0.474307 | ||||||||
\(518\) | −67.5485 | −2.96791 | ||||||||
\(519\) | −3.16036 | −0.138725 | ||||||||
\(520\) | 46.2341 | 2.02750 | ||||||||
\(521\) | −1.91922 | −0.0840826 | −0.0420413 | − | 0.999116i | \(-0.513386\pi\) | ||||
−0.0420413 | + | 0.999116i | \(0.513386\pi\) | |||||||
\(522\) | 1.03499 | 0.0453005 | ||||||||
\(523\) | 34.1008 | 1.49112 | 0.745562 | − | 0.666436i | \(-0.232181\pi\) | ||||
0.745562 | + | 0.666436i | \(0.232181\pi\) | |||||||
\(524\) | 62.3895 | 2.72550 | ||||||||
\(525\) | 18.2483 | 0.796420 | ||||||||
\(526\) | −48.5642 | −2.11750 | ||||||||
\(527\) | −13.1507 | −0.572852 | ||||||||
\(528\) | −19.3519 | −0.842182 | ||||||||
\(529\) | −17.5649 | −0.763693 | ||||||||
\(530\) | 24.4201 | 1.06074 | ||||||||
\(531\) | −7.53413 | −0.326953 | ||||||||
\(532\) | −80.9355 | −3.50900 | ||||||||
\(533\) | 6.52060 | 0.282438 | ||||||||
\(534\) | 16.7023 | 0.722780 | ||||||||
\(535\) | −8.62075 | −0.372707 | ||||||||
\(536\) | −2.54699 | −0.110013 | ||||||||
\(537\) | 0.102567 | 0.00442609 | ||||||||
\(538\) | −6.66202 | −0.287220 | ||||||||
\(539\) | −7.32084 | −0.315331 | ||||||||
\(540\) | 84.3696 | 3.63069 | ||||||||
\(541\) | −30.3588 | −1.30523 | −0.652614 | − | 0.757691i | \(-0.726328\pi\) | ||||
−0.652614 | + | 0.757691i | \(0.726328\pi\) | |||||||
\(542\) | 18.3822 | 0.789584 | ||||||||
\(543\) | 1.64039 | 0.0703959 | ||||||||
\(544\) | −55.5871 | −2.38328 | ||||||||
\(545\) | −13.4810 | −0.577464 | ||||||||
\(546\) | −28.3114 | −1.21162 | ||||||||
\(547\) | 1.00000 | 0.0427569 | ||||||||
\(548\) | 119.340 | 5.09795 | ||||||||
\(549\) | 1.60626 | 0.0685536 | ||||||||
\(550\) | 8.65047 | 0.368857 | ||||||||
\(551\) | −2.09001 | −0.0890376 | ||||||||
\(552\) | 30.3749 | 1.29284 | ||||||||
\(553\) | 58.3117 | 2.47966 | ||||||||
\(554\) | 56.3499 | 2.39408 | ||||||||
\(555\) | −28.5219 | −1.21069 | ||||||||
\(556\) | −54.9907 | −2.33213 | ||||||||
\(557\) | −6.90150 | −0.292426 | −0.146213 | − | 0.989253i | \(-0.546708\pi\) | ||||
−0.146213 | + | 0.989253i | \(0.546708\pi\) | |||||||
\(558\) | −8.30095 | −0.351407 | ||||||||
\(559\) | 0.276105 | 0.0116780 | ||||||||
\(560\) | −140.033 | −5.91749 | ||||||||
\(561\) | −4.80759 | −0.202977 | ||||||||
\(562\) | −54.3261 | −2.29161 | ||||||||
\(563\) | 23.4173 | 0.986923 | 0.493461 | − | 0.869768i | \(-0.335731\pi\) | ||||
0.493461 | + | 0.869768i | \(0.335731\pi\) | |||||||
\(564\) | −84.5846 | −3.56165 | ||||||||
\(565\) | 37.5732 | 1.58072 | ||||||||
\(566\) | 2.33107 | 0.0979823 | ||||||||
\(567\) | −23.3683 | −0.981375 | ||||||||
\(568\) | −122.275 | −5.13055 | ||||||||
\(569\) | 1.70409 | 0.0714390 | 0.0357195 | − | 0.999362i | \(-0.488628\pi\) | ||||
0.0357195 | + | 0.999362i | \(0.488628\pi\) | |||||||
\(570\) | −47.2383 | −1.97860 | ||||||||
\(571\) | 8.94488 | 0.374332 | 0.187166 | − | 0.982328i | \(-0.440070\pi\) | ||||
0.187166 | + | 0.982328i | \(0.440070\pi\) | |||||||
\(572\) | −9.70928 | −0.405965 | ||||||||
\(573\) | −9.82945 | −0.410631 | ||||||||
\(574\) | −35.7580 | −1.49251 | ||||||||
\(575\) | −7.49920 | −0.312738 | ||||||||
\(576\) | −15.6527 | −0.652194 | ||||||||
\(577\) | 9.66451 | 0.402339 | 0.201169 | − | 0.979556i | \(-0.435526\pi\) | ||||
0.201169 | + | 0.979556i | \(0.435526\pi\) | |||||||
\(578\) | 18.0581 | 0.751118 | ||||||||
\(579\) | 16.7492 | 0.696072 | ||||||||
\(580\) | −7.66771 | −0.318384 | ||||||||
\(581\) | −38.8133 | −1.61025 | ||||||||
\(582\) | −77.4100 | −3.20875 | ||||||||
\(583\) | −3.16790 | −0.131201 | ||||||||
\(584\) | −0.382133 | −0.0158128 | ||||||||
\(585\) | 4.00434 | 0.165559 | ||||||||
\(586\) | 22.7951 | 0.941659 | ||||||||
\(587\) | 35.6758 | 1.47250 | 0.736248 | − | 0.676712i | \(-0.236596\pi\) | ||||
0.736248 | + | 0.676712i | \(0.236596\pi\) | |||||||
\(588\) | 57.4179 | 2.36787 | ||||||||
\(589\) | 16.7625 | 0.690687 | ||||||||
\(590\) | 77.1531 | 3.17634 | ||||||||
\(591\) | −32.9913 | −1.35708 | ||||||||
\(592\) | 85.6846 | 3.52162 | ||||||||
\(593\) | −10.6862 | −0.438829 | −0.219415 | − | 0.975632i | \(-0.570415\pi\) | ||||
−0.219415 | + | 0.975632i | \(0.570415\pi\) | |||||||
\(594\) | −15.1287 | −0.620739 | ||||||||
\(595\) | −34.7885 | −1.42619 | ||||||||
\(596\) | −37.3682 | −1.53066 | ||||||||
\(597\) | 38.8006 | 1.58800 | ||||||||
\(598\) | 11.6347 | 0.475778 | ||||||||
\(599\) | 30.3999 | 1.24210 | 0.621052 | − | 0.783769i | \(-0.286706\pi\) | ||||
0.621052 | + | 0.783769i | \(0.286706\pi\) | |||||||
\(600\) | −41.9108 | −1.71100 | ||||||||
\(601\) | −1.23305 | −0.0502971 | −0.0251486 | − | 0.999684i | \(-0.508006\pi\) | ||||
−0.0251486 | + | 0.999684i | \(0.508006\pi\) | |||||||
\(602\) | −1.51412 | −0.0617109 | ||||||||
\(603\) | −0.220595 | −0.00898333 | ||||||||
\(604\) | 117.514 | 4.78158 | ||||||||
\(605\) | −2.86648 | −0.116539 | ||||||||
\(606\) | 34.7746 | 1.41262 | ||||||||
\(607\) | 9.34057 | 0.379122 | 0.189561 | − | 0.981869i | \(-0.439294\pi\) | ||||
0.189561 | + | 0.981869i | \(0.439294\pi\) | |||||||
\(608\) | 70.8541 | 2.87351 | ||||||||
\(609\) | 2.90044 | 0.117532 | ||||||||
\(610\) | −16.4489 | −0.665996 | ||||||||
\(611\) | −20.0139 | −0.809674 | ||||||||
\(612\) | −12.6305 | −0.510556 | ||||||||
\(613\) | 11.5064 | 0.464739 | 0.232370 | − | 0.972628i | \(-0.425352\pi\) | ||||
0.232370 | + | 0.972628i | \(0.425352\pi\) | |||||||
\(614\) | −44.1686 | −1.78250 | ||||||||
\(615\) | −15.0986 | −0.608833 | ||||||||
\(616\) | 32.8906 | 1.32520 | ||||||||
\(617\) | 24.4136 | 0.982853 | 0.491426 | − | 0.870919i | \(-0.336476\pi\) | ||||
0.491426 | + | 0.870919i | \(0.336476\pi\) | |||||||
\(618\) | 34.2037 | 1.37587 | ||||||||
\(619\) | −12.9428 | −0.520213 | −0.260107 | − | 0.965580i | \(-0.583758\pi\) | ||||
−0.260107 | + | 0.965580i | \(0.583758\pi\) | |||||||
\(620\) | 61.4972 | 2.46979 | ||||||||
\(621\) | 13.1153 | 0.526298 | ||||||||
\(622\) | −68.5331 | −2.74793 | ||||||||
\(623\) | −15.6787 | −0.628153 | ||||||||
\(624\) | 35.9128 | 1.43766 | ||||||||
\(625\) | −30.7363 | −1.22945 | ||||||||
\(626\) | 78.8559 | 3.15171 | ||||||||
\(627\) | 6.12800 | 0.244729 | ||||||||
\(628\) | −15.4733 | −0.617452 | ||||||||
\(629\) | 21.2866 | 0.848754 | ||||||||
\(630\) | −21.9592 | −0.874875 | ||||||||
\(631\) | −7.48790 | −0.298089 | −0.149044 | − | 0.988831i | \(-0.547620\pi\) | ||||
−0.149044 | + | 0.988831i | \(0.547620\pi\) | |||||||
\(632\) | −133.924 | −5.32722 | ||||||||
\(633\) | −29.6431 | −1.17821 | ||||||||
\(634\) | −31.7987 | −1.26289 | ||||||||
\(635\) | 25.8704 | 1.02663 | ||||||||
\(636\) | 24.8461 | 0.985210 | ||||||||
\(637\) | 13.5859 | 0.538291 | ||||||||
\(638\) | 1.37494 | 0.0544342 | ||||||||
\(639\) | −10.5902 | −0.418943 | ||||||||
\(640\) | 60.9218 | 2.40814 | ||||||||
\(641\) | 17.1326 | 0.676696 | 0.338348 | − | 0.941021i | \(-0.390132\pi\) | ||||
0.338348 | + | 0.941021i | \(0.390132\pi\) | |||||||
\(642\) | −12.1240 | −0.478498 | ||||||||
\(643\) | 44.7953 | 1.76655 | 0.883276 | − | 0.468853i | \(-0.155333\pi\) | ||||
0.883276 | + | 0.468853i | \(0.155333\pi\) | |||||||
\(644\) | −46.1580 | −1.81888 | ||||||||
\(645\) | −0.639326 | −0.0251735 | ||||||||
\(646\) | 35.2552 | 1.38710 | ||||||||
\(647\) | 9.55465 | 0.375632 | 0.187816 | − | 0.982204i | \(-0.439859\pi\) | ||||
0.187816 | + | 0.982204i | \(0.439859\pi\) | |||||||
\(648\) | 53.6698 | 2.10835 | ||||||||
\(649\) | −10.0087 | −0.392875 | ||||||||
\(650\) | −16.0533 | −0.629664 | ||||||||
\(651\) | −23.2624 | −0.911725 | ||||||||
\(652\) | 74.2142 | 2.90645 | ||||||||
\(653\) | 41.8770 | 1.63877 | 0.819387 | − | 0.573241i | \(-0.194314\pi\) | ||||
0.819387 | + | 0.573241i | \(0.194314\pi\) | |||||||
\(654\) | −18.9594 | −0.741373 | ||||||||
\(655\) | −34.1822 | −1.33561 | ||||||||
\(656\) | 45.3586 | 1.77096 | ||||||||
\(657\) | −0.0330966 | −0.00129122 | ||||||||
\(658\) | 109.753 | 4.27862 | ||||||||
\(659\) | 22.6216 | 0.881213 | 0.440607 | − | 0.897700i | \(-0.354763\pi\) | ||||
0.440607 | + | 0.897700i | \(0.354763\pi\) | |||||||
\(660\) | 22.4820 | 0.875111 | ||||||||
\(661\) | 27.5445 | 1.07136 | 0.535679 | − | 0.844422i | \(-0.320056\pi\) | ||||
0.535679 | + | 0.844422i | \(0.320056\pi\) | |||||||
\(662\) | 6.00617 | 0.233436 | ||||||||
\(663\) | 8.92181 | 0.346495 | ||||||||
\(664\) | 89.1424 | 3.45939 | ||||||||
\(665\) | 44.3432 | 1.71956 | ||||||||
\(666\) | 13.4365 | 0.520655 | ||||||||
\(667\) | −1.19195 | −0.0461524 | ||||||||
\(668\) | 7.25117 | 0.280556 | ||||||||
\(669\) | 25.3141 | 0.978698 | ||||||||
\(670\) | 2.25900 | 0.0872727 | ||||||||
\(671\) | 2.13383 | 0.0823757 | ||||||||
\(672\) | −98.3287 | −3.79311 | ||||||||
\(673\) | 18.9592 | 0.730822 | 0.365411 | − | 0.930846i | \(-0.380928\pi\) | ||||
0.365411 | + | 0.930846i | \(0.380928\pi\) | |||||||
\(674\) | 32.6903 | 1.25918 | ||||||||
\(675\) | −18.0962 | −0.696525 | ||||||||
\(676\) | −49.9967 | −1.92295 | ||||||||
\(677\) | 10.8045 | 0.415252 | 0.207626 | − | 0.978208i | \(-0.433426\pi\) | ||||
0.207626 | + | 0.978208i | \(0.433426\pi\) | |||||||
\(678\) | 52.8422 | 2.02939 | ||||||||
\(679\) | 72.6657 | 2.78865 | ||||||||
\(680\) | 79.8986 | 3.06397 | ||||||||
\(681\) | 2.67639 | 0.102559 | ||||||||
\(682\) | −11.0274 | −0.422260 | ||||||||
\(683\) | −7.69990 | −0.294629 | −0.147314 | − | 0.989090i | \(-0.547063\pi\) | ||||
−0.147314 | + | 0.989090i | \(0.547063\pi\) | |||||||
\(684\) | 16.0994 | 0.615577 | ||||||||
\(685\) | −65.3843 | −2.49820 | ||||||||
\(686\) | −3.26514 | −0.124664 | ||||||||
\(687\) | 27.7355 | 1.05818 | ||||||||
\(688\) | 1.92064 | 0.0732238 | ||||||||
\(689\) | 5.87892 | 0.223969 | ||||||||
\(690\) | −26.9403 | −1.02560 | ||||||||
\(691\) | 1.63084 | 0.0620400 | 0.0310200 | − | 0.999519i | \(-0.490124\pi\) | ||||
0.0310200 | + | 0.999519i | \(0.490124\pi\) | |||||||
\(692\) | −11.0299 | −0.419296 | ||||||||
\(693\) | 2.84866 | 0.108212 | ||||||||
\(694\) | 1.30989 | 0.0497226 | ||||||||
\(695\) | 30.1285 | 1.14284 | ||||||||
\(696\) | −6.66144 | −0.252501 | ||||||||
\(697\) | 11.2684 | 0.426823 | ||||||||
\(698\) | 56.1332 | 2.12467 | ||||||||
\(699\) | 17.7971 | 0.673149 | ||||||||
\(700\) | 63.6881 | 2.40718 | ||||||||
\(701\) | 42.0925 | 1.58981 | 0.794906 | − | 0.606733i | \(-0.207520\pi\) | ||||
0.794906 | + | 0.606733i | \(0.207520\pi\) | |||||||
\(702\) | 28.0755 | 1.05964 | ||||||||
\(703\) | −27.1330 | −1.02334 | ||||||||
\(704\) | −20.7937 | −0.783693 | ||||||||
\(705\) | 46.3425 | 1.74536 | ||||||||
\(706\) | −66.9270 | −2.51883 | ||||||||
\(707\) | −32.6433 | −1.22768 | ||||||||
\(708\) | 78.4988 | 2.95017 | ||||||||
\(709\) | 38.8295 | 1.45827 | 0.729136 | − | 0.684369i | \(-0.239922\pi\) | ||||
0.729136 | + | 0.684369i | \(0.239922\pi\) | |||||||
\(710\) | 108.449 | 4.07002 | ||||||||
\(711\) | −11.5992 | −0.435003 | ||||||||
\(712\) | 36.0091 | 1.34950 | ||||||||
\(713\) | 9.55976 | 0.358016 | ||||||||
\(714\) | −48.9259 | −1.83100 | ||||||||
\(715\) | 5.31955 | 0.198940 | ||||||||
\(716\) | 0.357967 | 0.0133779 | ||||||||
\(717\) | −4.62172 | −0.172601 | ||||||||
\(718\) | −1.82508 | −0.0681114 | ||||||||
\(719\) | 28.1310 | 1.04911 | 0.524554 | − | 0.851377i | \(-0.324232\pi\) | ||||
0.524554 | + | 0.851377i | \(0.324232\pi\) | |||||||
\(720\) | 27.8550 | 1.03809 | ||||||||
\(721\) | −32.1074 | −1.19574 | ||||||||
\(722\) | 6.15719 | 0.229147 | ||||||||
\(723\) | 32.3731 | 1.20397 | ||||||||
\(724\) | 5.72511 | 0.212772 | ||||||||
\(725\) | 1.64463 | 0.0610800 | ||||||||
\(726\) | −4.03136 | −0.149618 | ||||||||
\(727\) | −13.2382 | −0.490980 | −0.245490 | − | 0.969399i | \(-0.578949\pi\) | ||||
−0.245490 | + | 0.969399i | \(0.578949\pi\) | |||||||
\(728\) | −61.0377 | −2.26221 | ||||||||
\(729\) | 29.9484 | 1.10920 | ||||||||
\(730\) | 0.338925 | 0.0125442 | ||||||||
\(731\) | 0.477146 | 0.0176479 | ||||||||
\(732\) | −16.7358 | −0.618573 | ||||||||
\(733\) | −3.14201 | −0.116053 | −0.0580264 | − | 0.998315i | \(-0.518481\pi\) | ||||
−0.0580264 | + | 0.998315i | \(0.518481\pi\) | |||||||
\(734\) | −23.8471 | −0.880213 | ||||||||
\(735\) | −31.4583 | −1.16036 | ||||||||
\(736\) | 40.4085 | 1.48948 | ||||||||
\(737\) | −0.293049 | −0.0107946 | ||||||||
\(738\) | 7.11286 | 0.261828 | ||||||||
\(739\) | −22.5947 | −0.831159 | −0.415580 | − | 0.909557i | \(-0.636421\pi\) | ||||
−0.415580 | + | 0.909557i | \(0.636421\pi\) | |||||||
\(740\) | −99.5440 | −3.65931 | ||||||||
\(741\) | −11.3722 | −0.417768 | ||||||||
\(742\) | −32.2391 | −1.18353 | ||||||||
\(743\) | 35.6512 | 1.30792 | 0.653959 | − | 0.756530i | \(-0.273107\pi\) | ||||
0.653959 | + | 0.756530i | \(0.273107\pi\) | |||||||
\(744\) | 53.4266 | 1.95872 | ||||||||
\(745\) | 20.4734 | 0.750087 | ||||||||
\(746\) | 60.5053 | 2.21526 | ||||||||
\(747\) | 7.72062 | 0.282483 | ||||||||
\(748\) | −16.7789 | −0.613498 | ||||||||
\(749\) | 11.3810 | 0.415852 | ||||||||
\(750\) | −20.6073 | −0.752472 | ||||||||
\(751\) | 27.8324 | 1.01562 | 0.507809 | − | 0.861470i | \(-0.330456\pi\) | ||||
0.507809 | + | 0.861470i | \(0.330456\pi\) | |||||||
\(752\) | −139.221 | −5.07685 | ||||||||
\(753\) | 11.7816 | 0.429345 | ||||||||
\(754\) | −2.55157 | −0.0929228 | ||||||||
\(755\) | −64.3839 | −2.34317 | ||||||||
\(756\) | −111.384 | −4.05098 | ||||||||
\(757\) | −6.43273 | −0.233801 | −0.116901 | − | 0.993144i | \(-0.537296\pi\) | ||||
−0.116901 | + | 0.993144i | \(0.537296\pi\) | |||||||
\(758\) | −49.3030 | −1.79076 | ||||||||
\(759\) | 3.49483 | 0.126854 | ||||||||
\(760\) | −101.843 | −3.69423 | ||||||||
\(761\) | 2.29774 | 0.0832931 | 0.0416466 | − | 0.999132i | \(-0.486740\pi\) | ||||
0.0416466 | + | 0.999132i | \(0.486740\pi\) | |||||||
\(762\) | 36.3836 | 1.31804 | ||||||||
\(763\) | 17.7975 | 0.644311 | ||||||||
\(764\) | −34.3057 | −1.24113 | ||||||||
\(765\) | 6.92002 | 0.250194 | ||||||||
\(766\) | 33.5575 | 1.21248 | ||||||||
\(767\) | 18.5739 | 0.670664 | ||||||||
\(768\) | 23.3362 | 0.842074 | ||||||||
\(769\) | 23.7714 | 0.857218 | 0.428609 | − | 0.903490i | \(-0.359004\pi\) | ||||
0.428609 | + | 0.903490i | \(0.359004\pi\) | |||||||
\(770\) | −29.1716 | −1.05127 | ||||||||
\(771\) | 14.1646 | 0.510126 | ||||||||
\(772\) | 58.4561 | 2.10388 | ||||||||
\(773\) | 5.20099 | 0.187066 | 0.0935332 | − | 0.995616i | \(-0.470184\pi\) | ||||
0.0935332 | + | 0.995616i | \(0.470184\pi\) | |||||||
\(774\) | 0.301184 | 0.0108258 | ||||||||
\(775\) | −13.1904 | −0.473813 | ||||||||
\(776\) | −166.891 | −5.99104 | ||||||||
\(777\) | 37.6542 | 1.35084 | ||||||||
\(778\) | −19.2772 | −0.691120 | ||||||||
\(779\) | −14.3633 | −0.514620 | ||||||||
\(780\) | −41.7216 | −1.49387 | ||||||||
\(781\) | −14.0686 | −0.503413 | ||||||||
\(782\) | 20.1063 | 0.718998 | ||||||||
\(783\) | −2.87628 | −0.102790 | ||||||||
\(784\) | 94.5059 | 3.37521 | ||||||||
\(785\) | 8.47756 | 0.302577 | ||||||||
\(786\) | −48.0731 | −1.71471 | ||||||||
\(787\) | 18.7886 | 0.669740 | 0.334870 | − | 0.942264i | \(-0.391308\pi\) | ||||
0.334870 | + | 0.942264i | \(0.391308\pi\) | |||||||
\(788\) | −115.143 | −4.10178 | ||||||||
\(789\) | 27.0716 | 0.963775 | ||||||||
\(790\) | 118.781 | 4.22604 | ||||||||
\(791\) | −49.6036 | −1.76370 | ||||||||
\(792\) | −6.54250 | −0.232477 | ||||||||
\(793\) | −3.95992 | −0.140621 | ||||||||
\(794\) | −97.0022 | −3.44248 | ||||||||
\(795\) | −13.6127 | −0.482794 | ||||||||
\(796\) | 135.417 | 4.79974 | ||||||||
\(797\) | 38.0448 | 1.34761 | 0.673807 | − | 0.738907i | \(-0.264658\pi\) | ||||
0.673807 | + | 0.738907i | \(0.264658\pi\) | |||||||
\(798\) | 62.3634 | 2.20764 | ||||||||
\(799\) | −34.5866 | −1.22359 | ||||||||
\(800\) | −55.7550 | −1.97124 | ||||||||
\(801\) | 3.11875 | 0.110196 | ||||||||
\(802\) | −47.8385 | −1.68924 | ||||||||
\(803\) | −0.0439670 | −0.00155156 | ||||||||
\(804\) | 2.29840 | 0.0810584 | ||||||||
\(805\) | 25.2892 | 0.891328 | ||||||||
\(806\) | 20.4643 | 0.720826 | ||||||||
\(807\) | 3.71368 | 0.130728 | ||||||||
\(808\) | 74.9718 | 2.63750 | ||||||||
\(809\) | 41.1574 | 1.44702 | 0.723509 | − | 0.690315i | \(-0.242528\pi\) | ||||
0.723509 | + | 0.690315i | \(0.242528\pi\) | |||||||
\(810\) | −47.6013 | −1.67254 | ||||||||
\(811\) | −21.2599 | −0.746536 | −0.373268 | − | 0.927724i | \(-0.621763\pi\) | ||||
−0.373268 | + | 0.927724i | \(0.621763\pi\) | |||||||
\(812\) | 10.1228 | 0.355241 | ||||||||
\(813\) | −10.2470 | −0.359377 | ||||||||
\(814\) | 17.8497 | 0.625633 | ||||||||
\(815\) | −40.6607 | −1.42428 | ||||||||
\(816\) | 62.0619 | 2.17260 | ||||||||
\(817\) | −0.608194 | −0.0212780 | ||||||||
\(818\) | 9.82082 | 0.343377 | ||||||||
\(819\) | −5.28647 | −0.184724 | ||||||||
\(820\) | −52.6953 | −1.84020 | ||||||||
\(821\) | −35.8402 | −1.25083 | −0.625416 | − | 0.780291i | \(-0.715071\pi\) | ||||
−0.625416 | + | 0.780291i | \(0.715071\pi\) | |||||||
\(822\) | −91.9551 | −3.20730 | ||||||||
\(823\) | −30.9063 | −1.07733 | −0.538663 | − | 0.842522i | \(-0.681070\pi\) | ||||
−0.538663 | + | 0.842522i | \(0.681070\pi\) | |||||||
\(824\) | 73.7409 | 2.56889 | ||||||||
\(825\) | −4.82212 | −0.167885 | ||||||||
\(826\) | −101.856 | −3.54404 | ||||||||
\(827\) | 24.9100 | 0.866204 | 0.433102 | − | 0.901345i | \(-0.357419\pi\) | ||||
0.433102 | + | 0.901345i | \(0.357419\pi\) | |||||||
\(828\) | 9.18161 | 0.319083 | ||||||||
\(829\) | 18.2687 | 0.634497 | 0.317248 | − | 0.948342i | \(-0.397241\pi\) | ||||
0.317248 | + | 0.948342i | \(0.397241\pi\) | |||||||
\(830\) | −79.0628 | −2.74431 | ||||||||
\(831\) | −31.4117 | −1.08966 | ||||||||
\(832\) | 38.5885 | 1.33782 | ||||||||
\(833\) | 23.4781 | 0.813469 | ||||||||
\(834\) | 42.3721 | 1.46723 | ||||||||
\(835\) | −3.97279 | −0.137484 | ||||||||
\(836\) | 21.3873 | 0.739694 | ||||||||
\(837\) | 23.0686 | 0.797366 | ||||||||
\(838\) | 61.1890 | 2.11374 | ||||||||
\(839\) | 39.7366 | 1.37186 | 0.685929 | − | 0.727668i | \(-0.259396\pi\) | ||||
0.685929 | + | 0.727668i | \(0.259396\pi\) | |||||||
\(840\) | 141.334 | 4.87648 | ||||||||
\(841\) | −28.7386 | −0.990986 | ||||||||
\(842\) | 61.6676 | 2.12520 | ||||||||
\(843\) | 30.2835 | 1.04302 | ||||||||
\(844\) | −103.457 | −3.56114 | ||||||||
\(845\) | 27.3924 | 0.942326 | ||||||||
\(846\) | −21.8317 | −0.750590 | ||||||||
\(847\) | 3.78429 | 0.130030 | ||||||||
\(848\) | 40.8949 | 1.40434 | ||||||||
\(849\) | −1.29943 | −0.0445964 | ||||||||
\(850\) | −27.7423 | −0.951552 | ||||||||
\(851\) | −15.4741 | −0.530447 | ||||||||
\(852\) | 110.341 | 3.78021 | ||||||||
\(853\) | −1.08257 | −0.0370664 | −0.0185332 | − | 0.999828i | \(-0.505900\pi\) | ||||
−0.0185332 | + | 0.999828i | \(0.505900\pi\) | |||||||
\(854\) | 21.7156 | 0.743092 | ||||||||
\(855\) | −8.82061 | −0.301659 | ||||||||
\(856\) | −26.1387 | −0.893401 | ||||||||
\(857\) | 24.6835 | 0.843173 | 0.421586 | − | 0.906788i | \(-0.361473\pi\) | ||||
0.421586 | + | 0.906788i | \(0.361473\pi\) | |||||||
\(858\) | 7.48131 | 0.255408 | ||||||||
\(859\) | −28.9608 | −0.988129 | −0.494065 | − | 0.869425i | \(-0.664489\pi\) | ||||
−0.494065 | + | 0.869425i | \(0.664489\pi\) | |||||||
\(860\) | −2.23131 | −0.0760869 | ||||||||
\(861\) | 19.9329 | 0.679312 | ||||||||
\(862\) | −7.63953 | −0.260203 | ||||||||
\(863\) | 1.29445 | 0.0440638 | 0.0220319 | − | 0.999757i | \(-0.492986\pi\) | ||||
0.0220319 | + | 0.999757i | \(0.492986\pi\) | |||||||
\(864\) | 97.5095 | 3.31734 | ||||||||
\(865\) | 6.04312 | 0.205472 | ||||||||
\(866\) | −77.5510 | −2.63529 | ||||||||
\(867\) | −10.0663 | −0.341870 | ||||||||
\(868\) | −81.1878 | −2.75569 | ||||||||
\(869\) | −15.4089 | −0.522710 | ||||||||
\(870\) | 5.90821 | 0.200307 | ||||||||
\(871\) | 0.543833 | 0.0184271 | ||||||||
\(872\) | −40.8753 | −1.38421 | ||||||||
\(873\) | −14.4544 | −0.489208 | ||||||||
\(874\) | −25.6285 | −0.866895 | ||||||||
\(875\) | 19.3443 | 0.653958 | ||||||||
\(876\) | 0.344837 | 0.0116509 | ||||||||
\(877\) | 35.7906 | 1.20856 | 0.604282 | − | 0.796771i | \(-0.293460\pi\) | ||||
0.604282 | + | 0.796771i | \(0.293460\pi\) | |||||||
\(878\) | 21.6056 | 0.729155 | ||||||||
\(879\) | −12.7069 | −0.428594 | ||||||||
\(880\) | 37.0039 | 1.24740 | ||||||||
\(881\) | 6.20842 | 0.209167 | 0.104583 | − | 0.994516i | \(-0.466649\pi\) | ||||
0.104583 | + | 0.994516i | \(0.466649\pi\) | |||||||
\(882\) | 14.8198 | 0.499010 | ||||||||
\(883\) | −39.4455 | −1.32745 | −0.663723 | − | 0.747978i | \(-0.731025\pi\) | ||||
−0.663723 | + | 0.747978i | \(0.731025\pi\) | |||||||
\(884\) | 31.1379 | 1.04728 | ||||||||
\(885\) | −43.0082 | −1.44570 | ||||||||
\(886\) | 92.6981 | 3.11425 | ||||||||
\(887\) | −36.3707 | −1.22121 | −0.610605 | − | 0.791936i | \(-0.709073\pi\) | ||||
−0.610605 | + | 0.791936i | \(0.709073\pi\) | |||||||
\(888\) | −86.4803 | −2.90209 | ||||||||
\(889\) | −34.1537 | −1.14548 | ||||||||
\(890\) | −31.9375 | −1.07055 | ||||||||
\(891\) | 6.17508 | 0.206873 | ||||||||
\(892\) | 88.3483 | 2.95812 | ||||||||
\(893\) | 44.0858 | 1.47528 | ||||||||
\(894\) | 28.7934 | 0.962994 | ||||||||
\(895\) | −0.196124 | −0.00655571 | ||||||||
\(896\) | −80.4281 | −2.68691 | ||||||||
\(897\) | −6.48564 | −0.216549 | ||||||||
\(898\) | 81.5048 | 2.71985 | ||||||||
\(899\) | −2.09653 | −0.0699231 | ||||||||
\(900\) | −12.6686 | −0.422288 | ||||||||
\(901\) | 10.1595 | 0.338463 | ||||||||
\(902\) | 9.44905 | 0.314619 | ||||||||
\(903\) | 0.844030 | 0.0280876 | ||||||||
\(904\) | 113.924 | 3.78907 | ||||||||
\(905\) | −3.13669 | −0.104267 | ||||||||
\(906\) | −90.5482 | −3.00826 | ||||||||
\(907\) | −5.14358 | −0.170790 | −0.0853949 | − | 0.996347i | \(-0.527215\pi\) | ||||
−0.0853949 | + | 0.996347i | \(0.527215\pi\) | |||||||
\(908\) | 9.34082 | 0.309986 | ||||||||
\(909\) | 6.49330 | 0.215369 | ||||||||
\(910\) | 54.1360 | 1.79459 | ||||||||
\(911\) | −24.7301 | −0.819343 | −0.409672 | − | 0.912233i | \(-0.634357\pi\) | ||||
−0.409672 | + | 0.912233i | \(0.634357\pi\) | |||||||
\(912\) | −79.1073 | −2.61951 | ||||||||
\(913\) | 10.2564 | 0.339438 | ||||||||
\(914\) | 40.9363 | 1.35405 | ||||||||
\(915\) | 9.16927 | 0.303127 | ||||||||
\(916\) | 96.7993 | 3.19834 | ||||||||
\(917\) | 45.1268 | 1.49022 | ||||||||
\(918\) | 48.5182 | 1.60134 | ||||||||
\(919\) | 41.8859 | 1.38169 | 0.690844 | − | 0.723004i | \(-0.257239\pi\) | ||||
0.690844 | + | 0.723004i | \(0.257239\pi\) | |||||||
\(920\) | −58.0816 | −1.91489 | ||||||||
\(921\) | 24.6213 | 0.811300 | ||||||||
\(922\) | −9.57868 | −0.315457 | ||||||||
\(923\) | 26.1081 | 0.859360 | ||||||||
\(924\) | −29.6804 | −0.976415 | ||||||||
\(925\) | 21.3510 | 0.702016 | ||||||||
\(926\) | −31.1912 | −1.02501 | ||||||||
\(927\) | 6.38670 | 0.209767 | ||||||||
\(928\) | −8.86190 | −0.290906 | ||||||||
\(929\) | −26.3340 | −0.863991 | −0.431996 | − | 0.901876i | \(-0.642190\pi\) | ||||
−0.431996 | + | 0.901876i | \(0.642190\pi\) | |||||||
\(930\) | −47.3856 | −1.55383 | ||||||||
\(931\) | −29.9264 | −0.980799 | ||||||||
\(932\) | 62.1135 | 2.03460 | ||||||||
\(933\) | 38.2031 | 1.25071 | ||||||||
\(934\) | −21.4720 | −0.702586 | ||||||||
\(935\) | 9.19288 | 0.300639 | ||||||||
\(936\) | 12.1414 | 0.396855 | ||||||||
\(937\) | −18.3210 | −0.598520 | −0.299260 | − | 0.954172i | \(-0.596740\pi\) | ||||
−0.299260 | + | 0.954172i | \(0.596740\pi\) | |||||||
\(938\) | −2.98230 | −0.0973755 | ||||||||
\(939\) | −43.9574 | −1.43450 | ||||||||
\(940\) | 161.739 | 5.27535 | ||||||||
\(941\) | −7.16209 | −0.233477 | −0.116739 | − | 0.993163i | \(-0.537244\pi\) | ||||
−0.116739 | + | 0.993163i | \(0.537244\pi\) | |||||||
\(942\) | 11.9227 | 0.388462 | ||||||||
\(943\) | −8.19150 | −0.266752 | ||||||||
\(944\) | 129.204 | 4.20522 | ||||||||
\(945\) | 61.0252 | 1.98515 | ||||||||
\(946\) | 0.400106 | 0.0130086 | ||||||||
\(947\) | 30.5611 | 0.993104 | 0.496552 | − | 0.868007i | \(-0.334599\pi\) | ||||
0.496552 | + | 0.868007i | \(0.334599\pi\) | |||||||
\(948\) | 120.853 | 3.92512 | ||||||||
\(949\) | 0.0815930 | 0.00264862 | ||||||||
\(950\) | 35.3617 | 1.14729 | ||||||||
\(951\) | 17.7258 | 0.574800 | ||||||||
\(952\) | −105.481 | −3.41866 | ||||||||
\(953\) | −15.5159 | −0.502610 | −0.251305 | − | 0.967908i | \(-0.580860\pi\) | ||||
−0.251305 | + | 0.967908i | \(0.580860\pi\) | |||||||
\(954\) | 6.41289 | 0.207625 | ||||||||
\(955\) | 18.7955 | 0.608208 | ||||||||
\(956\) | −16.1302 | −0.521688 | ||||||||
\(957\) | −0.766444 | −0.0247756 | ||||||||
\(958\) | 99.2195 | 3.20564 | ||||||||
\(959\) | 86.3194 | 2.78740 | ||||||||
\(960\) | −89.3524 | −2.88384 | ||||||||
\(961\) | −14.1853 | −0.457589 | ||||||||
\(962\) | −33.1251 | −1.06800 | ||||||||
\(963\) | −2.26387 | −0.0729522 | ||||||||
\(964\) | 112.985 | 3.63900 | ||||||||
\(965\) | −32.0271 | −1.03099 | ||||||||
\(966\) | 35.5662 | 1.14432 | ||||||||
\(967\) | 14.7243 | 0.473501 | 0.236751 | − | 0.971570i | \(-0.423918\pi\) | ||||
0.236751 | + | 0.971570i | \(0.423918\pi\) | |||||||
\(968\) | −8.69136 | −0.279351 | ||||||||
\(969\) | −19.6526 | −0.631334 | ||||||||
\(970\) | 148.020 | 4.75265 | ||||||||
\(971\) | 36.8357 | 1.18212 | 0.591058 | − | 0.806629i | \(-0.298711\pi\) | ||||
0.591058 | + | 0.806629i | \(0.298711\pi\) | |||||||
\(972\) | 39.8679 | 1.27876 | ||||||||
\(973\) | −39.7752 | −1.27513 | ||||||||
\(974\) | −0.650299 | −0.0208369 | ||||||||
\(975\) | 8.94877 | 0.286590 | ||||||||
\(976\) | −27.5460 | −0.881726 | ||||||||
\(977\) | −36.9872 | −1.18333 | −0.591663 | − | 0.806185i | \(-0.701529\pi\) | ||||
−0.591663 | + | 0.806185i | \(0.701529\pi\) | |||||||
\(978\) | −57.1844 | −1.82855 | ||||||||
\(979\) | 4.14310 | 0.132414 | ||||||||
\(980\) | −109.792 | −3.50718 | ||||||||
\(981\) | −3.54021 | −0.113030 | ||||||||
\(982\) | −95.3914 | −3.04406 | ||||||||
\(983\) | 30.3225 | 0.967136 | 0.483568 | − | 0.875307i | \(-0.339341\pi\) | ||||
0.483568 | + | 0.875307i | \(0.339341\pi\) | |||||||
\(984\) | −45.7798 | −1.45941 | ||||||||
\(985\) | 63.0847 | 2.01004 | ||||||||
\(986\) | −4.40945 | −0.140426 | ||||||||
\(987\) | −61.1807 | −1.94740 | ||||||||
\(988\) | −39.6900 | −1.26271 | ||||||||
\(989\) | −0.346857 | −0.0110294 | ||||||||
\(990\) | 5.80272 | 0.184423 | ||||||||
\(991\) | −54.6520 | −1.73608 | −0.868038 | − | 0.496497i | \(-0.834619\pi\) | ||||
−0.868038 | + | 0.496497i | \(0.834619\pi\) | |||||||
\(992\) | 71.0749 | 2.25663 | ||||||||
\(993\) | −3.34808 | −0.106248 | ||||||||
\(994\) | −143.173 | −4.54117 | ||||||||
\(995\) | −74.1929 | −2.35207 | ||||||||
\(996\) | −80.4419 | −2.54890 | ||||||||
\(997\) | 59.3719 | 1.88033 | 0.940163 | − | 0.340725i | \(-0.110673\pi\) | ||||
0.940163 | + | 0.340725i | \(0.110673\pi\) | |||||||
\(998\) | −8.02873 | −0.254145 | ||||||||
\(999\) | −37.3405 | −1.18140 |
(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 | 6017.2.a.f.1.5 | ✓ | 121 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6017.2.a.f.1.5 | ✓ | 121 | 1.1 | even | 1 | trivial |