Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(31,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.10 | ||
Character | \(\chi\) | \(=\) | 140.31 |
Dual form | 140.2.o.a.131.10 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.569639 | + | 1.29442i | 0.402796 | + | 0.915290i | ||||
\(3\) | −1.51353 | + | 2.62152i | −0.873839 | + | 1.51353i | −0.0158441 | + | 0.999874i | \(0.505044\pi\) |
−0.857995 | + | 0.513659i | \(0.828290\pi\) | |||||||
\(4\) | −1.35102 | + | 1.47470i | −0.675512 | + | 0.737349i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −4.25550 | − | 0.465823i | −1.73730 | − | 0.190171i | ||||
\(7\) | 2.57616 | − | 0.602834i | 0.973696 | − | 0.227850i | ||||
\(8\) | −2.67847 | − | 0.908739i | −0.946982 | − | 0.321288i | ||||
\(9\) | −3.08156 | − | 5.33743i | −1.02719 | − | 1.77914i | ||||
\(10\) | 1.14053 | + | 0.836177i | 0.360667 | + | 0.264422i | ||||
\(11\) | −1.03659 | − | 0.598478i | −0.312545 | − | 0.180448i | 0.335520 | − | 0.942033i | \(-0.391088\pi\) |
−0.648065 | + | 0.761585i | \(0.724421\pi\) | |||||||
\(12\) | −1.82113 | − | 5.77373i | −0.525715 | − | 1.66673i | ||||
\(13\) | 4.83692i | 1.34152i | 0.741674 | + | 0.670760i | \(0.234032\pi\) | ||||
−0.741674 | + | 0.670760i | \(0.765968\pi\) | |||||||
\(14\) | 2.24780 | + | 2.99122i | 0.600749 | + | 0.799438i | ||||
\(15\) | 3.02707i | 0.781585i | ||||||||
\(16\) | −0.349474 | − | 3.98470i | −0.0873684 | − | 0.996176i | ||||
\(17\) | 2.20430 | + | 1.27265i | 0.534621 | + | 0.308664i | 0.742896 | − | 0.669407i | \(-0.233452\pi\) |
−0.208275 | + | 0.978070i | \(0.566785\pi\) | |||||||
\(18\) | 5.15347 | − | 7.02923i | 1.21468 | − | 1.65681i | ||||
\(19\) | 0.711130 | + | 1.23171i | 0.163144 | + | 0.282575i | 0.935995 | − | 0.352014i | \(-0.114503\pi\) |
−0.772850 | + | 0.634588i | \(0.781170\pi\) | |||||||
\(20\) | −0.432671 | + | 1.95264i | −0.0967481 | + | 0.436623i | ||||
\(21\) | −2.31876 | + | 7.66585i | −0.505996 | + | 1.67283i | ||||
\(22\) | 0.184195 | − | 1.68270i | 0.0392704 | − | 0.358753i | ||||
\(23\) | 5.02859 | − | 2.90326i | 1.04853 | − | 0.605371i | 0.126295 | − | 0.991993i | \(-0.459691\pi\) |
0.922238 | + | 0.386622i | \(0.126358\pi\) | |||||||
\(24\) | 6.43623 | − | 5.64624i | 1.31379 | − | 1.15253i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −6.26099 | + | 2.75530i | −1.22788 | + | 0.540359i | ||||
\(27\) | 9.57500 | 1.84271 | ||||||||
\(28\) | −2.59145 | + | 4.61350i | −0.489738 | + | 0.871870i | ||||
\(29\) | 0.774233 | 0.143772 | 0.0718858 | − | 0.997413i | \(-0.477098\pi\) | ||||
0.0718858 | + | 0.997413i | \(0.477098\pi\) | |||||||
\(30\) | −3.91828 | + | 1.72433i | −0.715377 | + | 0.314819i | ||||
\(31\) | −3.31933 | + | 5.74924i | −0.596169 | + | 1.03259i | 0.397212 | + | 0.917727i | \(0.369978\pi\) |
−0.993381 | + | 0.114867i | \(0.963356\pi\) | |||||||
\(32\) | 4.95879 | − | 2.72221i | 0.876598 | − | 0.481223i | ||||
\(33\) | 3.13784 | − | 1.81163i | 0.546228 | − | 0.315365i | ||||
\(34\) | −0.391687 | + | 3.57823i | −0.0671737 | + | 0.613661i | ||||
\(35\) | 1.92960 | − | 1.81015i | 0.326162 | − | 0.305971i | ||||
\(36\) | 12.0344 | + | 2.66661i | 2.00573 | + | 0.444434i | ||||
\(37\) | −2.55465 | − | 4.42479i | −0.419982 | − | 0.727431i | 0.575955 | − | 0.817481i | \(-0.304630\pi\) |
−0.995937 | + | 0.0900509i | \(0.971297\pi\) | |||||||
\(38\) | −1.18926 | + | 1.62213i | −0.192924 | + | 0.263144i | ||||
\(39\) | −12.6801 | − | 7.32084i | −2.03044 | − | 1.17227i | ||||
\(40\) | −2.77399 | + | 0.552243i | −0.438607 | + | 0.0873173i | ||||
\(41\) | − | 7.46685i | − | 1.16613i | −0.812427 | − | 0.583063i | \(-0.801854\pi\) | ||
0.812427 | − | 0.583063i | \(-0.198146\pi\) | |||||||
\(42\) | −11.2437 | + | 1.36532i | −1.73493 | + | 0.210674i | ||||
\(43\) | 1.38202i | 0.210756i | 0.994432 | + | 0.105378i | \(0.0336052\pi\) | ||||
−0.994432 | + | 0.105378i | \(0.966395\pi\) | |||||||
\(44\) | 2.28304 | − | 0.720107i | 0.344181 | − | 0.108560i | ||||
\(45\) | −5.33743 | − | 3.08156i | −0.795657 | − | 0.459373i | ||||
\(46\) | 6.62250 | + | 4.85528i | 0.976434 | + | 0.715871i | ||||
\(47\) | −0.535428 | − | 0.927389i | −0.0781002 | − | 0.135274i | 0.824330 | − | 0.566110i | \(-0.191552\pi\) |
−0.902430 | + | 0.430836i | \(0.858219\pi\) | |||||||
\(48\) | 10.9749 | + | 5.11483i | 1.58409 | + | 0.738262i | ||||
\(49\) | 6.27318 | − | 3.10599i | 0.896169 | − | 0.443713i | ||||
\(50\) | 1.40582 | + | 0.153886i | 0.198812 | + | 0.0217628i | ||||
\(51\) | −6.67256 | + | 3.85240i | −0.934345 | + | 0.539444i | ||||
\(52\) | −7.13300 | − | 6.53479i | −0.989170 | − | 0.906213i | ||||
\(53\) | −1.68099 | + | 2.91156i | −0.230902 | + | 0.399934i | −0.958074 | − | 0.286521i | \(-0.907501\pi\) |
0.727172 | + | 0.686456i | \(0.240834\pi\) | |||||||
\(54\) | 5.45429 | + | 12.3940i | 0.742235 | + | 1.68661i | ||||
\(55\) | −1.19696 | −0.161398 | ||||||||
\(56\) | −7.44798 | − | 0.726385i | −0.995278 | − | 0.0970673i | ||||
\(57\) | −4.30528 | −0.570248 | ||||||||
\(58\) | 0.441033 | + | 1.00218i | 0.0579105 | + | 0.131593i | ||||
\(59\) | 4.94206 | − | 8.55990i | 0.643402 | − | 1.11440i | −0.341267 | − | 0.939967i | \(-0.610856\pi\) |
0.984668 | − | 0.174438i | \(-0.0558108\pi\) | |||||||
\(60\) | −4.46401 | − | 4.08964i | −0.576301 | − | 0.527970i | ||||
\(61\) | 8.31115 | − | 4.79845i | 1.06413 | − | 0.614378i | 0.137561 | − | 0.990493i | \(-0.456074\pi\) |
0.926573 | + | 0.376115i | \(0.122740\pi\) | |||||||
\(62\) | −9.33272 | − | 1.02160i | −1.18526 | − | 0.129743i | ||||
\(63\) | −11.1562 | − | 11.8924i | −1.40555 | − | 1.49830i | ||||
\(64\) | 6.34839 | + | 4.86806i | 0.793548 | + | 0.608507i | ||||
\(65\) | 2.41846 | + | 4.18890i | 0.299973 | + | 0.519569i | ||||
\(66\) | 4.13244 | + | 3.02969i | 0.508668 | + | 0.372929i | ||||
\(67\) | 9.14135 | + | 5.27776i | 1.11679 | + | 0.644781i | 0.940580 | − | 0.339571i | \(-0.110282\pi\) |
0.176213 | + | 0.984352i | \(0.443615\pi\) | |||||||
\(68\) | −4.85484 | + | 1.53129i | −0.588735 | + | 0.185697i | ||||
\(69\) | 17.5767i | 2.11599i | ||||||||
\(70\) | 3.44226 | + | 1.46658i | 0.411429 | + | 0.175289i | ||||
\(71\) | − | 16.3277i | − | 1.93775i | −0.247558 | − | 0.968873i | \(-0.579628\pi\) | ||
0.247558 | − | 0.968873i | \(-0.420372\pi\) | |||||||
\(72\) | 3.40354 | + | 17.0965i | 0.401112 | + | 2.01484i | ||||
\(73\) | 0.0927594 | + | 0.0535547i | 0.0108567 | + | 0.00626810i | 0.505419 | − | 0.862874i | \(-0.331338\pi\) |
−0.494562 | + | 0.869142i | \(0.664671\pi\) | |||||||
\(74\) | 4.27228 | − | 5.82731i | 0.496643 | − | 0.677411i | ||||
\(75\) | 1.51353 | + | 2.62152i | 0.174768 | + | 0.302707i | ||||
\(76\) | −2.77716 | − | 0.615371i | −0.318562 | − | 0.0705879i | ||||
\(77\) | −3.03121 | − | 0.916880i | −0.345439 | − | 0.104488i | ||||
\(78\) | 2.25315 | − | 20.5835i | 0.255119 | − | 2.33062i | ||||
\(79\) | −9.32609 | + | 5.38442i | −1.04927 | + | 0.605795i | −0.922444 | − | 0.386130i | \(-0.873811\pi\) |
−0.126823 | + | 0.991925i | \(0.540478\pi\) | |||||||
\(80\) | −2.29501 | − | 3.27612i | −0.256589 | − | 0.366281i | ||||
\(81\) | −5.24739 | + | 9.08874i | −0.583043 | + | 1.00986i | ||||
\(82\) | 9.66521 | − | 4.25341i | 1.06734 | − | 0.469711i | ||||
\(83\) | −15.8027 | −1.73457 | −0.867287 | − | 0.497808i | \(-0.834138\pi\) | ||||
−0.867287 | + | 0.497808i | \(0.834138\pi\) | |||||||
\(84\) | −8.17212 | − | 13.7762i | −0.891651 | − | 1.50311i | ||||
\(85\) | 2.54530 | 0.276077 | ||||||||
\(86\) | −1.78890 | + | 0.787251i | −0.192903 | + | 0.0848914i | ||||
\(87\) | −1.17183 | + | 2.02967i | −0.125633 | + | 0.217603i | ||||
\(88\) | 2.23262 | + | 2.54500i | 0.237999 | + | 0.271298i | ||||
\(89\) | −3.41325 | + | 1.97064i | −0.361803 | + | 0.208887i | −0.669872 | − | 0.742477i | \(-0.733651\pi\) |
0.308068 | + | 0.951364i | \(0.400318\pi\) | |||||||
\(90\) | 0.948419 | − | 8.66423i | 0.0999722 | − | 0.913290i | ||||
\(91\) | 2.91586 | + | 12.4607i | 0.305665 | + | 1.30623i | ||||
\(92\) | −2.51231 | + | 11.3380i | −0.261926 | + | 1.18207i | ||||
\(93\) | −10.0478 | − | 17.4033i | −1.04191 | − | 1.80464i | ||||
\(94\) | 0.895426 | − | 1.22134i | 0.0923561 | − | 0.125972i | ||||
\(95\) | 1.23171 | + | 0.711130i | 0.126371 | + | 0.0729604i | ||||
\(96\) | −0.368983 | + | 17.1197i | −0.0376591 | + | 1.74727i | ||||
\(97\) | 8.71387i | 0.884760i | 0.896828 | + | 0.442380i | \(0.145866\pi\) | ||||
−0.896828 | + | 0.442380i | \(0.854134\pi\) | |||||||
\(98\) | 7.59389 | + | 6.35081i | 0.767099 | + | 0.641529i | ||||
\(99\) | 7.37699i | 0.741416i | ||||||||
\(100\) | 0.601615 | + | 1.90737i | 0.0601615 | + | 0.190737i | ||||
\(101\) | −2.60279 | − | 1.50272i | −0.258987 | − | 0.149526i | 0.364885 | − | 0.931052i | \(-0.381108\pi\) |
−0.623872 | + | 0.781526i | \(0.714442\pi\) | |||||||
\(102\) | −8.78756 | − | 6.44258i | −0.870098 | − | 0.637911i | ||||
\(103\) | 0.191374 | + | 0.331470i | 0.0188567 | + | 0.0326607i | 0.875300 | − | 0.483581i | \(-0.160664\pi\) |
−0.856443 | + | 0.516241i | \(0.827331\pi\) | |||||||
\(104\) | 4.39550 | − | 12.9555i | 0.431014 | − | 1.27040i | ||||
\(105\) | 1.82482 | + | 7.79820i | 0.178084 | + | 0.761027i | ||||
\(106\) | −4.72633 | − | 0.517362i | −0.459062 | − | 0.0502507i | ||||
\(107\) | 0.729600 | − | 0.421235i | 0.0705331 | − | 0.0407223i | −0.464319 | − | 0.885668i | \(-0.653701\pi\) |
0.534852 | + | 0.844946i | \(0.320367\pi\) | |||||||
\(108\) | −12.9360 | + | 14.1202i | −1.24477 | + | 1.35872i | ||||
\(109\) | −1.97534 | + | 3.42139i | −0.189203 | + | 0.327710i | −0.944985 | − | 0.327114i | \(-0.893924\pi\) |
0.755781 | + | 0.654824i | \(0.227257\pi\) | |||||||
\(110\) | −0.681833 | − | 1.54936i | −0.0650102 | − | 0.147726i | ||||
\(111\) | 15.4662 | 1.46799 | ||||||||
\(112\) | −3.30241 | − | 10.0546i | −0.312049 | − | 0.950066i | ||||
\(113\) | 2.68201 | 0.252302 | 0.126151 | − | 0.992011i | \(-0.459738\pi\) | ||||
0.126151 | + | 0.992011i | \(0.459738\pi\) | |||||||
\(114\) | −2.45245 | − | 5.57282i | −0.229693 | − | 0.521942i | ||||
\(115\) | 2.90326 | − | 5.02859i | 0.270730 | − | 0.468918i | ||||
\(116\) | −1.04601 | + | 1.14176i | −0.0971193 | + | 0.106010i | ||||
\(117\) | 25.8167 | − | 14.9053i | 2.38676 | − | 1.37799i | ||||
\(118\) | 13.8953 | + | 1.52103i | 1.27916 | + | 0.140022i | ||||
\(119\) | 6.44582 | + | 1.94973i | 0.590887 | + | 0.178731i | ||||
\(120\) | 2.75081 | − | 8.10790i | 0.251114 | − | 0.740147i | ||||
\(121\) | −4.78365 | − | 8.28552i | −0.434877 | − | 0.753229i | ||||
\(122\) | 10.9455 | + | 8.02471i | 0.990963 | + | 0.726523i | ||||
\(123\) | 19.5745 | + | 11.3013i | 1.76497 | + | 1.01901i | ||||
\(124\) | −3.99391 | − | 12.6624i | −0.358664 | − | 1.13711i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 9.03869 | − | 21.2151i | 0.805231 | − | 1.88999i | ||||
\(127\) | − | 2.14034i | − | 0.189925i | −0.995481 | − | 0.0949624i | \(-0.969727\pi\) | ||
0.995481 | − | 0.0949624i | \(-0.0302731\pi\) | |||||||
\(128\) | −2.68500 | + | 10.9905i | −0.237323 | + | 0.971431i | ||||
\(129\) | −3.62298 | − | 2.09173i | −0.318986 | − | 0.184166i | ||||
\(130\) | −4.04452 | + | 5.51665i | −0.354728 | + | 0.483842i | ||||
\(131\) | −4.83287 | − | 8.37078i | −0.422250 | − | 0.731359i | 0.573909 | − | 0.818919i | \(-0.305426\pi\) |
−0.996159 | + | 0.0875604i | \(0.972093\pi\) | |||||||
\(132\) | −1.56768 | + | 7.07493i | −0.136449 | + | 0.615793i | ||||
\(133\) | 2.57450 | + | 2.74440i | 0.223238 | + | 0.237969i | ||||
\(134\) | −1.62435 | + | 14.8391i | −0.140322 | + | 1.28190i | ||||
\(135\) | 8.29219 | − | 4.78750i | 0.713679 | − | 0.412042i | ||||
\(136\) | −4.74763 | − | 5.41189i | −0.407106 | − | 0.464066i | ||||
\(137\) | −2.13784 | + | 3.70285i | −0.182648 | + | 0.316356i | −0.942781 | − | 0.333411i | \(-0.891800\pi\) |
0.760133 | + | 0.649767i | \(0.225134\pi\) | |||||||
\(138\) | −22.7516 | + | 10.0124i | −1.93674 | + | 0.852310i | ||||
\(139\) | −7.53742 | −0.639316 | −0.319658 | − | 0.947533i | \(-0.603568\pi\) | ||||
−0.319658 | + | 0.947533i | \(0.603568\pi\) | |||||||
\(140\) | 0.0624874 | + | 5.29113i | 0.00528115 | + | 0.447182i | ||||
\(141\) | 3.24155 | 0.272988 | ||||||||
\(142\) | 21.1349 | − | 9.30092i | 1.77360 | − | 0.780516i | ||||
\(143\) | 2.89479 | − | 5.01393i | 0.242075 | − | 0.419286i | ||||
\(144\) | −20.1911 | + | 14.1444i | −1.68260 | + | 1.17870i | ||||
\(145\) | 0.670506 | − | 0.387117i | 0.0556825 | − | 0.0321483i | ||||
\(146\) | −0.0164826 | + | 0.150576i | −0.00136411 | + | 0.0124618i | ||||
\(147\) | −1.35227 | + | 21.1463i | −0.111533 | + | 1.74411i | ||||
\(148\) | 9.97662 | + | 2.21065i | 0.820073 | + | 0.181714i | ||||
\(149\) | 1.42882 | + | 2.47480i | 0.117054 | + | 0.202743i | 0.918599 | − | 0.395191i | \(-0.129322\pi\) |
−0.801545 | + | 0.597934i | \(0.795988\pi\) | |||||||
\(150\) | −2.53116 | + | 3.45246i | −0.206669 | + | 0.281892i | ||||
\(151\) | 5.72359 | + | 3.30451i | 0.465779 | + | 0.268918i | 0.714471 | − | 0.699665i | \(-0.246667\pi\) |
−0.248692 | + | 0.968583i | \(0.580001\pi\) | |||||||
\(152\) | −0.785433 | − | 3.94534i | −0.0637071 | − | 0.320009i | ||||
\(153\) | − | 15.6870i | − | 1.26822i | ||||||
\(154\) | −0.539873 | − | 4.44594i | −0.0435042 | − | 0.358264i | ||||
\(155\) | 6.63865i | 0.533229i | ||||||||
\(156\) | 27.9271 | − | 8.80866i | 2.23596 | − | 0.705257i | ||||
\(157\) | −13.4954 | − | 7.79155i | −1.07705 | − | 0.621834i | −0.146949 | − | 0.989144i | \(-0.546945\pi\) |
−0.930098 | + | 0.367310i | \(0.880279\pi\) | |||||||
\(158\) | −12.2822 | − | 9.00466i | −0.977118 | − | 0.716373i | ||||
\(159\) | −5.08847 | − | 8.81350i | −0.403542 | − | 0.698956i | ||||
\(160\) | 2.93333 | − | 4.83689i | 0.231900 | − | 0.382390i | ||||
\(161\) | 11.2043 | − | 10.5107i | 0.883019 | − | 0.828355i | ||||
\(162\) | −14.7537 | − | 1.61500i | −1.15916 | − | 0.126886i | ||||
\(163\) | 8.34874 | − | 4.82015i | 0.653924 | − | 0.377543i | −0.136034 | − | 0.990704i | \(-0.543436\pi\) |
0.789958 | + | 0.613161i | \(0.210102\pi\) | |||||||
\(164\) | 11.0114 | + | 10.0879i | 0.859843 | + | 0.787732i | ||||
\(165\) | 1.81163 | − | 3.13784i | 0.141035 | − | 0.244280i | ||||
\(166\) | −9.00185 | − | 20.4553i | −0.698679 | − | 1.58764i | ||||
\(167\) | −4.94876 | −0.382947 | −0.191473 | − | 0.981498i | \(-0.561327\pi\) | ||||
−0.191473 | + | 0.981498i | \(0.561327\pi\) | |||||||
\(168\) | 13.1770 | − | 18.4256i | 1.01663 | − | 1.42156i | ||||
\(169\) | −10.3958 | −0.799678 | ||||||||
\(170\) | 1.44990 | + | 3.29468i | 0.111203 | + | 0.252691i | ||||
\(171\) | 4.38279 | − | 7.59121i | 0.335160 | − | 0.580514i | ||||
\(172\) | −2.03806 | − | 1.86714i | −0.155401 | − | 0.142368i | ||||
\(173\) | −6.00216 | + | 3.46535i | −0.456336 | + | 0.263465i | −0.710502 | − | 0.703695i | \(-0.751532\pi\) |
0.254167 | + | 0.967160i | \(0.418199\pi\) | |||||||
\(174\) | −3.29475 | − | 0.360656i | −0.249774 | − | 0.0273412i | ||||
\(175\) | 0.766010 | − | 2.53244i | 0.0579049 | − | 0.191434i | ||||
\(176\) | −2.02250 | + | 4.33967i | −0.152451 | + | 0.327115i | ||||
\(177\) | 14.9599 | + | 25.9114i | 1.12446 | + | 1.94762i | ||||
\(178\) | −4.49514 | − | 3.29561i | −0.336925 | − | 0.247016i | ||||
\(179\) | 18.2838 | + | 10.5561i | 1.36659 | + | 0.789003i | 0.990491 | − | 0.137575i | \(-0.0439307\pi\) |
0.376103 | + | 0.926578i | \(0.377264\pi\) | |||||||
\(180\) | 11.7554 | − | 3.70783i | 0.876193 | − | 0.276366i | ||||
\(181\) | − | 6.10438i | − | 0.453735i | −0.973926 | − | 0.226868i | \(-0.927152\pi\) | ||
0.973926 | − | 0.226868i | \(-0.0728485\pi\) | |||||||
\(182\) | −14.4683 | + | 10.8724i | −1.07246 | + | 0.805917i | ||||
\(183\) | 29.0504i | 2.14747i | ||||||||
\(184\) | −16.1072 | + | 3.20661i | −1.18744 | + | 0.236394i | ||||
\(185\) | −4.42479 | − | 2.55465i | −0.325317 | − | 0.187822i | ||||
\(186\) | 16.8035 | − | 22.9197i | 1.23209 | − | 1.68055i | ||||
\(187\) | −1.52331 | − | 2.63845i | −0.111395 | − | 0.192942i | ||||
\(188\) | 2.09099 | + | 0.463328i | 0.152501 | + | 0.0337917i | ||||
\(189\) | 24.6667 | − | 5.77213i | 1.79424 | − | 0.419861i | ||||
\(190\) | −0.218866 | + | 1.99944i | −0.0158782 | + | 0.145054i | ||||
\(191\) | −3.21572 | + | 1.85660i | −0.232681 | + | 0.134339i | −0.611808 | − | 0.791006i | \(-0.709558\pi\) |
0.379127 | + | 0.925345i | \(0.376224\pi\) | |||||||
\(192\) | −22.3702 | + | 9.27443i | −1.61443 | + | 0.669324i | ||||
\(193\) | −7.66545 | + | 13.2769i | −0.551771 | + | 0.955695i | 0.446376 | + | 0.894846i | \(0.352714\pi\) |
−0.998147 | + | 0.0608498i | \(0.980619\pi\) | |||||||
\(194\) | −11.2794 | + | 4.96376i | −0.809812 | + | 0.356377i | ||||
\(195\) | −14.6417 | −1.04851 | ||||||||
\(196\) | −3.89482 | + | 13.4473i | −0.278201 | + | 0.960523i | ||||
\(197\) | −24.4602 | −1.74272 | −0.871360 | − | 0.490644i | \(-0.836761\pi\) | ||||
−0.871360 | + | 0.490644i | \(0.836761\pi\) | |||||||
\(198\) | −9.54890 | + | 4.20222i | −0.678610 | + | 0.298639i | ||||
\(199\) | −6.43311 | + | 11.1425i | −0.456031 | + | 0.789868i | −0.998747 | − | 0.0500478i | \(-0.984063\pi\) |
0.542716 | + | 0.839916i | \(0.317396\pi\) | |||||||
\(200\) | −2.12623 | + | 1.86525i | −0.150347 | + | 0.131893i | ||||
\(201\) | −27.6715 | + | 15.9761i | −1.95179 | + | 1.12687i | ||||
\(202\) | 0.462495 | − | 4.22510i | 0.0325410 | − | 0.297277i | ||||
\(203\) | 1.99455 | − | 0.466734i | 0.139990 | − | 0.0327583i | ||||
\(204\) | 3.33364 | − | 15.0447i | 0.233402 | − | 1.05334i | ||||
\(205\) | −3.73343 | − | 6.46649i | −0.260754 | − | 0.451639i | ||||
\(206\) | −0.320046 | + | 0.436536i | −0.0222986 | + | 0.0304149i | ||||
\(207\) | −30.9918 | − | 17.8931i | −2.15408 | − | 1.24366i | ||||
\(208\) | 19.2737 | − | 1.69038i | 1.33639 | − | 0.117207i | ||||
\(209\) | − | 1.70238i | − | 0.117756i | ||||||
\(210\) | −9.05463 | + | 6.80423i | −0.624829 | + | 0.469537i | ||||
\(211\) | − | 16.9384i | − | 1.16609i | −0.812441 | − | 0.583044i | \(-0.801862\pi\) | ||
0.812441 | − | 0.583044i | \(-0.198138\pi\) | |||||||
\(212\) | −2.02262 | − | 6.41255i | −0.138914 | − | 0.440416i | ||||
\(213\) | 42.8034 | + | 24.7126i | 2.93284 | + | 1.69328i | ||||
\(214\) | 0.960861 | + | 0.704454i | 0.0656831 | + | 0.0481555i | ||||
\(215\) | 0.691009 | + | 1.19686i | 0.0471264 | + | 0.0816253i | ||||
\(216\) | −25.6463 | − | 8.70118i | −1.74501 | − | 0.592040i | ||||
\(217\) | −5.08527 | + | 16.8120i | −0.345211 | + | 1.14127i | ||||
\(218\) | −5.55393 | − | 0.607955i | −0.376160 | − | 0.0411759i | ||||
\(219\) | −0.280789 | + | 0.162114i | −0.0189740 | + | 0.0109546i | ||||
\(220\) | 1.61711 | − | 1.76515i | 0.109026 | − | 0.119006i | ||||
\(221\) | −6.15572 | + | 10.6620i | −0.414079 | + | 0.717205i | ||||
\(222\) | 8.81015 | + | 20.0197i | 0.591299 | + | 1.34363i | ||||
\(223\) | −18.9687 | −1.27024 | −0.635119 | − | 0.772414i | \(-0.719049\pi\) | ||||
−0.635119 | + | 0.772414i | \(0.719049\pi\) | |||||||
\(224\) | 11.1336 | − | 10.0022i | 0.743894 | − | 0.668297i | ||||
\(225\) | −6.16313 | −0.410875 | ||||||||
\(226\) | 1.52778 | + | 3.47164i | 0.101626 | + | 0.230930i | ||||
\(227\) | −0.467228 | + | 0.809262i | −0.0310110 | + | 0.0537126i | −0.881114 | − | 0.472903i | \(-0.843206\pi\) |
0.850103 | + | 0.526616i | \(0.176539\pi\) | |||||||
\(228\) | 5.81653 | − | 6.34899i | 0.385209 | − | 0.420472i | ||||
\(229\) | −11.3283 | + | 6.54038i | −0.748594 | + | 0.432201i | −0.825185 | − | 0.564862i | \(-0.808929\pi\) |
0.0765920 | + | 0.997063i | \(0.475596\pi\) | |||||||
\(230\) | 8.16289 | + | 0.893541i | 0.538245 | + | 0.0589184i | ||||
\(231\) | 6.99146 | − | 6.55865i | 0.460004 | − | 0.431527i | ||||
\(232\) | −2.07376 | − | 0.703576i | −0.136149 | − | 0.0461920i | ||||
\(233\) | 7.80080 | + | 13.5114i | 0.511047 | + | 0.885160i | 0.999918 | + | 0.0128037i | \(0.00407566\pi\) |
−0.488871 | + | 0.872356i | \(0.662591\pi\) | |||||||
\(234\) | 33.9998 | + | 24.9269i | 2.22264 | + | 1.62952i | ||||
\(235\) | −0.927389 | − | 0.535428i | −0.0604962 | − | 0.0349275i | ||||
\(236\) | 5.94644 | + | 18.8527i | 0.387080 | + | 1.22720i | ||||
\(237\) | − | 32.5980i | − | 2.11747i | ||||||
\(238\) | 1.14803 | + | 9.45421i | 0.0744158 | + | 0.612825i | ||||
\(239\) | − | 14.1327i | − | 0.914167i | −0.889424 | − | 0.457084i | \(-0.848894\pi\) | ||
0.889424 | − | 0.457084i | \(-0.151106\pi\) | |||||||
\(240\) | 12.0620 | − | 1.05788i | 0.778596 | − | 0.0682858i | ||||
\(241\) | 18.6916 | + | 10.7916i | 1.20403 | + | 0.695146i | 0.961449 | − | 0.274985i | \(-0.0886728\pi\) |
0.242580 | + | 0.970131i | \(0.422006\pi\) | |||||||
\(242\) | 7.99996 | − | 10.9118i | 0.514257 | − | 0.701436i | ||||
\(243\) | −1.52169 | − | 2.63564i | −0.0976163 | − | 0.169076i | ||||
\(244\) | −4.15230 | + | 18.7393i | −0.265824 | + | 1.19966i | ||||
\(245\) | 3.87974 | − | 5.82646i | 0.247868 | − | 0.372239i | ||||
\(246\) | −3.47823 | + | 31.7752i | −0.221764 | + | 2.02591i | ||||
\(247\) | −5.95770 | + | 3.43968i | −0.379080 | + | 0.218862i | ||||
\(248\) | 14.1153 | − | 12.3828i | 0.896321 | − | 0.786306i | ||||
\(249\) | 23.9179 | − | 41.4271i | 1.51574 | − | 2.62534i | ||||
\(250\) | 1.29442 | − | 0.569639i | 0.0818660 | − | 0.0360271i | ||||
\(251\) | 1.04460 | 0.0659345 | 0.0329673 | − | 0.999456i | \(-0.489504\pi\) | ||||
0.0329673 | + | 0.999456i | \(0.489504\pi\) | |||||||
\(252\) | 32.6099 | − | 0.385118i | 2.05423 | − | 0.0242602i | ||||
\(253\) | −6.95014 | −0.436952 | ||||||||
\(254\) | 2.77050 | − | 1.21922i | 0.173836 | − | 0.0765009i | ||||
\(255\) | −3.85240 | + | 6.67256i | −0.241247 | + | 0.417852i | ||||
\(256\) | −15.7557 | + | 2.78510i | −0.984734 | + | 0.174069i | ||||
\(257\) | 4.24688 | − | 2.45194i | 0.264913 | − | 0.152948i | −0.361661 | − | 0.932310i | \(-0.617790\pi\) |
0.626574 | + | 0.779362i | \(0.284457\pi\) | |||||||
\(258\) | 0.643775 | − | 5.88117i | 0.0400797 | − | 0.366146i | ||||
\(259\) | −9.24860 | − | 9.85892i | −0.574680 | − | 0.612604i | ||||
\(260\) | −9.44476 | − | 2.09280i | −0.585739 | − | 0.129790i | ||||
\(261\) | −2.38585 | − | 4.13241i | −0.147680 | − | 0.255790i | ||||
\(262\) | 8.08228 | − | 11.0241i | 0.499325 | − | 0.681069i | ||||
\(263\) | −6.75186 | − | 3.89819i | −0.416337 | − | 0.240373i | 0.277172 | − | 0.960820i | \(-0.410603\pi\) |
−0.693509 | + | 0.720448i | \(0.743936\pi\) | |||||||
\(264\) | −10.0509 | + | 2.00092i | −0.618590 | + | 0.123148i | ||||
\(265\) | 3.36198i | 0.206525i | ||||||||
\(266\) | −2.08585 | + | 4.89579i | −0.127892 | + | 0.300180i | ||||
\(267\) | − | 11.9305i | − | 0.730135i | ||||||
\(268\) | −20.1333 | + | 6.35036i | −1.22984 | + | 0.387910i | ||||
\(269\) | −18.2838 | − | 10.5562i | −1.11479 | − | 0.643622i | −0.174721 | − | 0.984618i | \(-0.555902\pi\) |
−0.940065 | + | 0.340996i | \(0.889236\pi\) | |||||||
\(270\) | 10.9206 | + | 8.00640i | 0.664605 | + | 0.487254i | ||||
\(271\) | 10.7604 | + | 18.6375i | 0.653647 | + | 1.13215i | 0.982231 | + | 0.187676i | \(0.0600954\pi\) |
−0.328584 | + | 0.944475i | \(0.606571\pi\) | |||||||
\(272\) | 4.30080 | − | 9.22824i | 0.260774 | − | 0.559544i | ||||
\(273\) | −37.0791 | − | 11.2157i | −2.24413 | − | 0.678804i | ||||
\(274\) | −6.01082 | − | 0.657967i | −0.363127 | − | 0.0397492i | ||||
\(275\) | −1.03659 | + | 0.598478i | −0.0625090 | + | 0.0360896i | ||||
\(276\) | −25.9203 | − | 23.7465i | −1.56022 | − | 1.42937i | ||||
\(277\) | 2.58372 | − | 4.47513i | 0.155241 | − | 0.268884i | −0.777906 | − | 0.628381i | \(-0.783718\pi\) |
0.933147 | + | 0.359496i | \(0.117051\pi\) | |||||||
\(278\) | −4.29361 | − | 9.75655i | −0.257513 | − | 0.585159i | ||||
\(279\) | 40.9149 | 2.44951 | ||||||||
\(280\) | −6.81333 | + | 3.09492i | −0.407174 | + | 0.184957i | ||||
\(281\) | 15.6322 | 0.932539 | 0.466270 | − | 0.884643i | \(-0.345598\pi\) | ||||
0.466270 | + | 0.884643i | \(0.345598\pi\) | |||||||
\(282\) | 1.84651 | + | 4.19592i | 0.109958 | + | 0.249863i | ||||
\(283\) | 14.2850 | − | 24.7424i | 0.849156 | − | 1.47078i | −0.0328062 | − | 0.999462i | \(-0.510444\pi\) |
0.881962 | − | 0.471320i | \(-0.156222\pi\) | |||||||
\(284\) | 24.0785 | + | 22.0592i | 1.42880 | + | 1.30897i | ||||
\(285\) | −3.72848 | + | 2.15264i | −0.220856 | + | 0.127511i | ||||
\(286\) | 8.13909 | + | 0.890936i | 0.481274 | + | 0.0526821i | ||||
\(287\) | −4.50127 | − | 19.2358i | −0.265702 | − | 1.13545i | ||||
\(288\) | −29.8104 | − | 18.0785i | −1.75660 | − | 1.06529i | ||||
\(289\) | −5.26071 | − | 9.11182i | −0.309454 | − | 0.535990i | ||||
\(290\) | 0.883036 | + | 0.647396i | 0.0518537 | + | 0.0380164i | ||||
\(291\) | −22.8436 | − | 13.1887i | −1.33911 | − | 0.773137i | ||||
\(292\) | −0.204297 | + | 0.0644386i | −0.0119556 | + | 0.00377099i | ||||
\(293\) | 0.657174i | 0.0383925i | 0.999816 | + | 0.0191963i | \(0.00611074\pi\) | ||||
−0.999816 | + | 0.0191963i | \(0.993889\pi\) | |||||||
\(294\) | −28.1424 | + | 10.2953i | −1.64130 | + | 0.600436i | ||||
\(295\) | − | 9.88412i | − | 0.575476i | ||||||
\(296\) | 2.82158 | + | 14.1732i | 0.164001 | + | 0.823799i | ||||
\(297\) | −9.92539 | − | 5.73043i | −0.575930 | − | 0.332513i | ||||
\(298\) | −2.38950 | + | 3.25923i | −0.138420 | + | 0.188802i | ||||
\(299\) | 14.0428 | + | 24.3229i | 0.812118 | + | 1.40663i | ||||
\(300\) | −5.91077 | − | 1.30972i | −0.341258 | − | 0.0756169i | ||||
\(301\) | 0.833126 | + | 3.56030i | 0.0480206 | + | 0.205212i | ||||
\(302\) | −1.01704 | + | 9.29108i | −0.0585239 | + | 0.534642i | ||||
\(303\) | 7.87881 | − | 4.54883i | 0.452626 | − | 0.261324i | ||||
\(304\) | 4.65949 | − | 3.26410i | 0.267240 | − | 0.187209i | ||||
\(305\) | 4.79845 | − | 8.31115i | 0.274758 | − | 0.475895i | ||||
\(306\) | 20.3055 | − | 8.93595i | 1.16079 | − | 0.510834i | ||||
\(307\) | −4.88042 | −0.278540 | −0.139270 | − | 0.990254i | \(-0.544476\pi\) | ||||
−0.139270 | + | 0.990254i | \(0.544476\pi\) | |||||||
\(308\) | 5.44736 | − | 3.23140i | 0.310392 | − | 0.184126i | ||||
\(309\) | −1.15861 | −0.0659108 | ||||||||
\(310\) | −8.59317 | + | 3.78163i | −0.488059 | + | 0.214782i | ||||
\(311\) | −5.94840 | + | 10.3029i | −0.337303 | + | 0.584226i | −0.983924 | − | 0.178585i | \(-0.942848\pi\) |
0.646621 | + | 0.762811i | \(0.276181\pi\) | |||||||
\(312\) | 27.3104 | + | 31.1315i | 1.54615 | + | 1.76248i | ||||
\(313\) | 23.0427 | − | 13.3037i | 1.30245 | − | 0.751970i | 0.321626 | − | 0.946867i | \(-0.395771\pi\) |
0.980824 | + | 0.194897i | \(0.0624372\pi\) | |||||||
\(314\) | 2.39802 | − | 21.9070i | 0.135328 | − | 1.23628i | ||||
\(315\) | −15.6077 | − | 4.72102i | −0.879396 | − | 0.265999i | ||||
\(316\) | 4.65936 | − | 21.0277i | 0.262110 | − | 1.18290i | ||||
\(317\) | 13.2278 | + | 22.9113i | 0.742950 | + | 1.28683i | 0.951147 | + | 0.308739i | \(0.0999071\pi\) |
−0.208197 | + | 0.978087i | \(0.566760\pi\) | |||||||
\(318\) | 8.50973 | − | 11.6071i | 0.477202 | − | 0.650895i | ||||
\(319\) | −0.802566 | − | 0.463362i | −0.0449351 | − | 0.0259433i | ||||
\(320\) | 7.93189 | + | 1.04167i | 0.443406 | + | 0.0582311i | ||||
\(321\) | 2.55021i | 0.142339i | ||||||||
\(322\) | 19.9875 | + | 8.51569i | 1.11386 | + | 0.474561i | ||||
\(323\) | 3.62009i | 0.201427i | ||||||||
\(324\) | −6.31382 | − | 20.0174i | −0.350768 | − | 1.11208i | ||||
\(325\) | 4.18890 | + | 2.41846i | 0.232358 | + | 0.134152i | ||||
\(326\) | 10.9950 | + | 8.06100i | 0.608959 | + | 0.446457i | ||||
\(327\) | −5.97949 | − | 10.3568i | −0.330667 | − | 0.572731i | ||||
\(328\) | −6.78542 | + | 19.9997i | −0.374662 | + | 1.10430i | ||||
\(329\) | −1.93841 | − | 2.06633i | −0.106868 | − | 0.113920i | ||||
\(330\) | 5.09364 | + | 0.557570i | 0.280396 | + | 0.0306932i | ||||
\(331\) | −21.0294 | + | 12.1414i | −1.15588 | + | 0.667349i | −0.950314 | − | 0.311294i | \(-0.899238\pi\) |
−0.205569 | + | 0.978643i | \(0.565904\pi\) | |||||||
\(332\) | 21.3498 | − | 23.3043i | 1.17172 | − | 1.27899i | ||||
\(333\) | −15.7447 | + | 27.2705i | −0.862802 | + | 1.49442i | ||||
\(334\) | −2.81901 | − | 6.40575i | −0.154249 | − | 0.350507i | ||||
\(335\) | 10.5555 | 0.576710 | ||||||||
\(336\) | 31.3565 | + | 6.56057i | 1.71064 | + | 0.357909i | ||||
\(337\) | 19.7077 | 1.07355 | 0.536774 | − | 0.843726i | \(-0.319643\pi\) | ||||
0.536774 | + | 0.843726i | \(0.319643\pi\) | |||||||
\(338\) | −5.92186 | − | 13.4565i | −0.322107 | − | 0.731938i | ||||
\(339\) | −4.05931 | + | 7.03094i | −0.220472 | + | 0.381868i | ||||
\(340\) | −3.43876 | + | 3.75356i | −0.186493 | + | 0.203565i | ||||
\(341\) | 6.88159 | − | 3.97309i | 0.372659 | − | 0.215155i | ||||
\(342\) | 12.3228 | + | 1.34890i | 0.666340 | + | 0.0729401i | ||||
\(343\) | 14.2883 | − | 11.7832i | 0.771497 | − | 0.636233i | ||||
\(344\) | 1.25589 | − | 3.70169i | 0.0677132 | − | 0.199582i | ||||
\(345\) | 8.78835 | + | 15.2219i | 0.473149 | + | 0.819518i | ||||
\(346\) | −7.90466 | − | 5.79529i | −0.424957 | − | 0.311557i | ||||
\(347\) | 7.30667 | + | 4.21851i | 0.392242 | + | 0.226461i | 0.683131 | − | 0.730296i | \(-0.260618\pi\) |
−0.290889 | + | 0.956757i | \(0.593951\pi\) | |||||||
\(348\) | −1.40998 | − | 4.47022i | −0.0755828 | − | 0.239629i | ||||
\(349\) | 23.5784i | 1.26212i | 0.775732 | + | 0.631062i | \(0.217381\pi\) | ||||
−0.775732 | + | 0.631062i | \(0.782619\pi\) | |||||||
\(350\) | 3.71437 | − | 0.451039i | 0.198542 | − | 0.0241090i | ||||
\(351\) | 46.3135i | 2.47203i | ||||||||
\(352\) | −6.76943 | − | 0.145902i | −0.360812 | − | 0.00777662i | ||||
\(353\) | −17.9028 | − | 10.3362i | −0.952872 | − | 0.550141i | −0.0589002 | − | 0.998264i | \(-0.518759\pi\) |
−0.893972 | + | 0.448123i | \(0.852093\pi\) | |||||||
\(354\) | −25.0183 | + | 34.1245i | −1.32971 | + | 1.81370i | ||||
\(355\) | −8.16387 | − | 14.1402i | −0.433293 | − | 0.750486i | ||||
\(356\) | 1.70528 | − | 7.69589i | 0.0903794 | − | 0.407881i | ||||
\(357\) | −14.8672 | + | 13.9468i | −0.786856 | + | 0.738145i | ||||
\(358\) | −3.24889 | + | 29.6800i | −0.171709 | + | 1.56864i | ||||
\(359\) | 23.7741 | − | 13.7260i | 1.25475 | − | 0.724429i | 0.282699 | − | 0.959209i | \(-0.408770\pi\) |
0.972049 | + | 0.234780i | \(0.0754369\pi\) | |||||||
\(360\) | 11.4958 | + | 13.1042i | 0.605881 | + | 0.690652i | ||||
\(361\) | 8.48859 | − | 14.7027i | 0.446768 | − | 0.773824i | ||||
\(362\) | 7.90161 | − | 3.47729i | 0.415299 | − | 0.182762i | ||||
\(363\) | 28.9608 | 1.52005 | ||||||||
\(364\) | −22.3151 | − | 12.5346i | −1.16963 | − | 0.656994i | ||||
\(365\) | 0.107109 | 0.00560636 | ||||||||
\(366\) | −37.6033 | + | 16.5483i | −1.96556 | + | 0.864991i | ||||
\(367\) | −10.0213 | + | 17.3574i | −0.523109 | + | 0.906051i | 0.476529 | + | 0.879159i | \(0.341895\pi\) |
−0.999638 | + | 0.0268927i | \(0.991439\pi\) | |||||||
\(368\) | −13.3260 | − | 19.0228i | −0.694665 | − | 0.991633i | ||||
\(369\) | −39.8538 | + | 23.0096i | −2.07471 | + | 1.19783i | ||||
\(370\) | 0.786250 | − | 7.18274i | 0.0408752 | − | 0.373413i | ||||
\(371\) | −2.57531 | + | 8.51401i | −0.133704 | + | 0.442025i | ||||
\(372\) | 39.2395 | + | 8.69480i | 2.03447 | + | 0.450804i | ||||
\(373\) | −10.2956 | − | 17.8325i | −0.533085 | − | 0.923331i | −0.999253 | − | 0.0386345i | \(-0.987699\pi\) |
0.466168 | − | 0.884696i | \(-0.345634\pi\) | |||||||
\(374\) | 2.54751 | − | 3.47476i | 0.131729 | − | 0.179675i | ||||
\(375\) | 2.62152 | + | 1.51353i | 0.135375 | + | 0.0781585i | ||||
\(376\) | 0.591373 | + | 2.97055i | 0.0304977 | + | 0.153194i | ||||
\(377\) | 3.74491i | 0.192873i | ||||||||
\(378\) | 21.5227 | + | 28.6410i | 1.10701 | + | 1.47313i | ||||
\(379\) | − | 3.26339i | − | 0.167629i | −0.996481 | − | 0.0838145i | \(-0.973290\pi\) | ||
0.996481 | − | 0.0838145i | \(-0.0267103\pi\) | |||||||
\(380\) | −2.71278 | + | 0.855654i | −0.139163 | + | 0.0438941i | ||||
\(381\) | 5.61095 | + | 3.23948i | 0.287458 | + | 0.165964i | ||||
\(382\) | −4.23500 | − | 3.10489i | −0.216682 | − | 0.158860i | ||||
\(383\) | 16.8755 | + | 29.2293i | 0.862300 | + | 1.49355i | 0.869704 | + | 0.493574i | \(0.164310\pi\) |
−0.00740376 | + | 0.999973i | \(0.502357\pi\) | |||||||
\(384\) | −24.7479 | − | 23.6732i | −1.26291 | − | 1.20807i | ||||
\(385\) | −3.08355 | + | 0.721565i | −0.157152 | + | 0.0367744i | ||||
\(386\) | −21.5524 | − | 2.35921i | −1.09699 | − | 0.120081i | ||||
\(387\) | 7.37642 | − | 4.25878i | 0.374964 | − | 0.216486i | ||||
\(388\) | −12.8503 | − | 11.7726i | −0.652377 | − | 0.597665i | ||||
\(389\) | 1.80604 | − | 3.12816i | 0.0915701 | − | 0.158604i | −0.816602 | − | 0.577201i | \(-0.804145\pi\) |
0.908172 | + | 0.418597i | \(0.137478\pi\) | |||||||
\(390\) | −8.34047 | − | 18.9524i | −0.422336 | − | 0.959693i | ||||
\(391\) | 14.7793 | 0.747424 | ||||||||
\(392\) | −19.6251 | + | 2.61861i | −0.991215 | + | 0.132260i | ||||
\(393\) | 29.2589 | 1.47591 | ||||||||
\(394\) | −13.9335 | − | 31.6617i | −0.701960 | − | 1.59509i | ||||
\(395\) | −5.38442 | + | 9.32609i | −0.270920 | + | 0.469247i | ||||
\(396\) | −10.8788 | − | 9.96649i | −0.546683 | − | 0.500835i | ||||
\(397\) | −6.47548 | + | 3.73862i | −0.324995 | + | 0.187636i | −0.653617 | − | 0.756826i | \(-0.726749\pi\) |
0.328622 | + | 0.944462i | \(0.393416\pi\) | |||||||
\(398\) | −18.0875 | − | 1.97993i | −0.906646 | − | 0.0992449i | ||||
\(399\) | −11.0911 | + | 2.59537i | −0.555248 | + | 0.129931i | ||||
\(400\) | −3.62559 | − | 1.68970i | −0.181280 | − | 0.0844850i | ||||
\(401\) | 4.77337 | + | 8.26772i | 0.238371 | + | 0.412870i | 0.960247 | − | 0.279152i | \(-0.0900533\pi\) |
−0.721876 | + | 0.692022i | \(0.756720\pi\) | |||||||
\(402\) | −36.4425 | − | 26.7178i | −1.81759 | − | 1.33256i | ||||
\(403\) | −27.8086 | − | 16.0553i | −1.38525 | − | 0.799773i | ||||
\(404\) | 5.73248 | − | 1.80812i | 0.285202 | − | 0.0899572i | ||||
\(405\) | 10.4948i | 0.521490i | ||||||||
\(406\) | 1.74032 | + | 2.31590i | 0.0863706 | + | 0.114936i | ||||
\(407\) | 6.11561i | 0.303140i | ||||||||
\(408\) | 21.3731 | − | 4.25492i | 1.05812 | − | 0.210650i | ||||
\(409\) | 18.7682 | + | 10.8358i | 0.928026 | + | 0.535796i | 0.886187 | − | 0.463328i | \(-0.153345\pi\) |
0.0418392 | + | 0.999124i | \(0.486678\pi\) | |||||||
\(410\) | 6.24361 | − | 8.51617i | 0.308350 | − | 0.420584i | ||||
\(411\) | −6.47138 | − | 11.2088i | −0.319210 | − | 0.552887i | ||||
\(412\) | −0.747370 | − | 0.165604i | −0.0368203 | − | 0.00815873i | ||||
\(413\) | 7.57134 | − | 25.0309i | 0.372561 | − | 1.23169i | ||||
\(414\) | 5.50701 | − | 50.3090i | 0.270655 | − | 2.47255i | ||||
\(415\) | −13.6856 | + | 7.90136i | −0.671798 | + | 0.387863i | ||||
\(416\) | 13.1671 | + | 23.9853i | 0.645570 | + | 1.17598i | ||||
\(417\) | 11.4081 | − | 19.7595i | 0.558659 | − | 0.967625i | ||||
\(418\) | 2.20359 | − | 0.969744i | 0.107781 | − | 0.0474317i | ||||
\(419\) | −13.0327 | −0.636690 | −0.318345 | − | 0.947975i | \(-0.603127\pi\) | ||||
−0.318345 | + | 0.947975i | \(0.603127\pi\) | |||||||
\(420\) | −13.9654 | − | 7.84449i | −0.681440 | − | 0.382772i | ||||
\(421\) | −34.2800 | −1.67070 | −0.835352 | − | 0.549715i | \(-0.814736\pi\) | ||||
−0.835352 | + | 0.549715i | \(0.814736\pi\) | |||||||
\(422\) | 21.9253 | − | 9.64877i | 1.06731 | − | 0.469695i | ||||
\(423\) | −3.29991 | + | 5.71562i | −0.160447 | + | 0.277903i | ||||
\(424\) | 7.14834 | − | 6.27095i | 0.347154 | − | 0.304544i | ||||
\(425\) | 2.20430 | − | 1.27265i | 0.106924 | − | 0.0617327i | ||||
\(426\) | −7.60584 | + | 69.4827i | −0.368504 | + | 3.36645i | ||||
\(427\) | 18.5182 | − | 17.3718i | 0.896158 | − | 0.840681i | ||||
\(428\) | −0.364512 | + | 1.64504i | −0.0176194 | + | 0.0795159i | ||||
\(429\) | 8.76273 | + | 15.1775i | 0.423068 | + | 0.732776i | ||||
\(430\) | −1.15561 | + | 1.57623i | −0.0557285 | + | 0.0760126i | ||||
\(431\) | −2.47034 | − | 1.42625i | −0.118992 | − | 0.0687001i | 0.439323 | − | 0.898329i | \(-0.355219\pi\) |
−0.558315 | + | 0.829629i | \(0.688552\pi\) | |||||||
\(432\) | −3.34621 | − | 38.1536i | −0.160995 | − | 1.83566i | ||||
\(433\) | − | 34.6179i | − | 1.66363i | −0.555053 | − | 0.831815i | \(-0.687302\pi\) | ||
0.555053 | − | 0.831815i | \(-0.312698\pi\) | |||||||
\(434\) | −24.6584 | + | 2.99429i | −1.18364 | + | 0.143730i | ||||
\(435\) | 2.34366i | 0.112370i | ||||||||
\(436\) | −2.37679 | − | 7.53541i | −0.113828 | − | 0.360881i | ||||
\(437\) | 7.15196 | + | 4.12919i | 0.342125 | + | 0.197526i | ||||
\(438\) | −0.369791 | − | 0.271111i | −0.0176693 | − | 0.0129542i | ||||
\(439\) | 5.46905 | + | 9.47267i | 0.261023 | + | 0.452106i | 0.966514 | − | 0.256613i | \(-0.0826067\pi\) |
−0.705491 | + | 0.708719i | \(0.749273\pi\) | |||||||
\(440\) | 3.20601 | + | 1.08772i | 0.152840 | + | 0.0518551i | ||||
\(441\) | −35.9092 | − | 23.9113i | −1.70996 | − | 1.13864i | ||||
\(442\) | −17.3076 | − | 1.89456i | −0.823240 | − | 0.0901149i | ||||
\(443\) | −30.6522 | + | 17.6971i | −1.45633 | + | 0.840813i | −0.998828 | − | 0.0483948i | \(-0.984589\pi\) |
−0.457503 | + | 0.889208i | \(0.651256\pi\) | |||||||
\(444\) | −20.8952 | + | 22.8080i | −0.991642 | + | 1.08242i | ||||
\(445\) | −1.97064 | + | 3.41325i | −0.0934172 | + | 0.161803i | ||||
\(446\) | −10.8053 | − | 24.5534i | −0.511646 | − | 1.16264i | ||||
\(447\) | −8.65029 | −0.409145 | ||||||||
\(448\) | 19.2891 | + | 8.71387i | 0.911323 | + | 0.411692i | ||||
\(449\) | 28.0029 | 1.32154 | 0.660768 | − | 0.750590i | \(-0.270231\pi\) | ||||
0.660768 | + | 0.750590i | \(0.270231\pi\) | |||||||
\(450\) | −3.51076 | − | 7.97765i | −0.165499 | − | 0.376070i | ||||
\(451\) | −4.46875 | + | 7.74010i | −0.210425 | + | 0.364467i | ||||
\(452\) | −3.62346 | + | 3.95516i | −0.170433 | + | 0.186035i | ||||
\(453\) | −17.3257 | + | 10.0030i | −0.814031 | + | 0.469981i | ||||
\(454\) | −1.31367 | − | 0.143800i | −0.0616537 | − | 0.00674885i | ||||
\(455\) | 8.75555 | + | 9.33333i | 0.410466 | + | 0.437553i | ||||
\(456\) | 11.5315 | + | 3.91237i | 0.540014 | + | 0.183214i | ||||
\(457\) | −10.0949 | − | 17.4849i | −0.472220 | − | 0.817908i | 0.527275 | − | 0.849695i | \(-0.323214\pi\) |
−0.999495 | + | 0.0317863i | \(0.989880\pi\) | |||||||
\(458\) | −14.9190 | − | 10.9378i | −0.697119 | − | 0.511092i | ||||
\(459\) | 21.1062 | + | 12.1856i | 0.985151 | + | 0.568777i | ||||
\(460\) | 3.49329 | + | 11.0752i | 0.162875 | + | 0.516382i | ||||
\(461\) | − | 0.127845i | − | 0.00595433i | −0.999996 | − | 0.00297717i | \(-0.999052\pi\) | ||
0.999996 | − | 0.00297717i | \(-0.000947663\pi\) | |||||||
\(462\) | 12.4722 | + | 5.31379i | 0.580260 | + | 0.247220i | ||||
\(463\) | − | 17.8655i | − | 0.830282i | −0.909757 | − | 0.415141i | \(-0.863732\pi\) | ||
0.909757 | − | 0.415141i | \(-0.136268\pi\) | |||||||
\(464\) | −0.270574 | − | 3.08509i | −0.0125611 | − | 0.143222i | ||||
\(465\) | −17.4033 | − | 10.0478i | −0.807060 | − | 0.465956i | ||||
\(466\) | −13.0457 | + | 17.7941i | −0.604330 | + | 0.824295i | ||||
\(467\) | −7.33477 | − | 12.7042i | −0.339413 | − | 0.587880i | 0.644910 | − | 0.764259i | \(-0.276895\pi\) |
−0.984322 | + | 0.176379i | \(0.943562\pi\) | |||||||
\(468\) | −12.8982 | + | 58.2093i | −0.596218 | + | 2.69072i | ||||
\(469\) | 26.7312 | + | 8.08563i | 1.23433 | + | 0.373360i | ||||
\(470\) | 0.164790 | − | 1.50543i | 0.00760119 | − | 0.0694402i | ||||
\(471\) | 40.8514 | − | 23.5855i | 1.88233 | − | 1.08676i | ||||
\(472\) | −21.0159 | + | 18.4364i | −0.967334 | + | 0.848603i | ||||
\(473\) | 0.827107 | − | 1.43259i | 0.0380304 | − | 0.0658706i | ||||
\(474\) | 42.1954 | − | 18.5691i | 1.93810 | − | 0.852907i | ||||
\(475\) | 1.42226 | 0.0652578 | ||||||||
\(476\) | −11.5837 | + | 6.87151i | −0.530939 | + | 0.314955i | ||||
\(477\) | 20.7203 | 0.948719 | ||||||||
\(478\) | 18.2936 | − | 8.05053i | 0.836728 | − | 0.368223i | ||||
\(479\) | −13.0757 | + | 22.6478i | −0.597444 | + | 1.03480i | 0.395753 | + | 0.918357i | \(0.370483\pi\) |
−0.993197 | + | 0.116446i | \(0.962850\pi\) | |||||||
\(480\) | 8.24030 | + | 15.0106i | 0.376117 | + | 0.685136i | ||||
\(481\) | 21.4024 | − | 12.3567i | 0.975863 | − | 0.563415i | ||||
\(482\) | −3.32134 | + | 30.3419i | −0.151283 | + | 1.38204i | ||||
\(483\) | 10.5958 | + | 45.2804i | 0.482127 | + | 2.06033i | ||||
\(484\) | 18.6815 | + | 4.13949i | 0.849158 | + | 0.188159i | ||||
\(485\) | 4.35694 | + | 7.54644i | 0.197838 | + | 0.342666i | ||||
\(486\) | 2.54480 | − | 3.47106i | 0.115435 | − | 0.157450i | ||||
\(487\) | 14.3973 | + | 8.31227i | 0.652403 | + | 0.376665i | 0.789376 | − | 0.613910i | \(-0.210404\pi\) |
−0.136974 | + | 0.990575i | \(0.543738\pi\) | |||||||
\(488\) | −26.6217 | + | 5.29982i | −1.20511 | + | 0.239911i | ||||
\(489\) | 29.1818i | 1.31965i | ||||||||
\(490\) | 9.75191 | + | 1.70302i | 0.440546 | + | 0.0769346i | ||||
\(491\) | − | 21.9094i | − | 0.988758i | −0.869246 | − | 0.494379i | \(-0.835395\pi\) | ||
0.869246 | − | 0.494379i | \(-0.164605\pi\) | |||||||
\(492\) | −43.1116 | + | 13.5981i | −1.94362 | + | 0.613050i | ||||
\(493\) | 1.70664 | + | 0.985330i | 0.0768633 | + | 0.0443770i | ||||
\(494\) | −7.84612 | − | 5.75237i | −0.353014 | − | 0.258811i | ||||
\(495\) | 3.68850 | + | 6.38866i | 0.165786 | + | 0.287149i | ||||
\(496\) | 24.0690 | + | 11.2173i | 1.08073 | + | 0.503673i | ||||
\(497\) | −9.84291 | − | 42.0628i | −0.441515 | − | 1.88678i | ||||
\(498\) | 67.2485 | + | 7.36127i | 3.01348 | + | 0.329867i | ||||
\(499\) | 35.2377 | − | 20.3445i | 1.57746 | − | 0.910745i | 0.582243 | − | 0.813015i | \(-0.302175\pi\) |
0.995213 | − | 0.0977301i | \(-0.0311582\pi\) | |||||||
\(500\) | 1.47470 | + | 1.35102i | 0.0659505 | + | 0.0604196i | ||||
\(501\) | 7.49011 | − | 12.9733i | 0.334633 | − | 0.579602i | ||||
\(502\) | 0.595044 | + | 1.35215i | 0.0265581 | + | 0.0603492i | ||||
\(503\) | −7.19624 | −0.320864 | −0.160432 | − | 0.987047i | \(-0.551289\pi\) | ||||
−0.160432 | + | 0.987047i | \(0.551289\pi\) | |||||||
\(504\) | 19.0744 | + | 41.9914i | 0.849641 | + | 1.87045i | ||||
\(505\) | −3.00544 | −0.133740 | ||||||||
\(506\) | −3.95907 | − | 8.99637i | −0.176002 | − | 0.399937i | ||||
\(507\) | 15.7344 | − | 27.2528i | 0.698790 | − | 1.21034i | ||||
\(508\) | 3.15636 | + | 2.89166i | 0.140041 | + | 0.128296i | ||||
\(509\) | 4.45357 | − | 2.57127i | 0.197401 | − | 0.113970i | −0.398042 | − | 0.917367i | \(-0.630310\pi\) |
0.595443 | + | 0.803398i | \(0.296977\pi\) | |||||||
\(510\) | −10.8315 | − | 1.18566i | −0.479629 | − | 0.0525020i | ||||
\(511\) | 0.271248 | + | 0.0820469i | 0.0119993 | + | 0.00362954i | ||||
\(512\) | −12.5802 | − | 18.8080i | −0.555970 | − | 0.831203i | ||||
\(513\) | 6.80907 | + | 11.7937i | 0.300628 | + | 0.520703i | ||||
\(514\) | 5.59301 | + | 4.10051i | 0.246697 | + | 0.180866i | ||||
\(515\) | 0.331470 | + | 0.191374i | 0.0146063 | + | 0.00843296i | ||||
\(516\) | 7.97940 | − | 2.51683i | 0.351273 | − | 0.110797i | ||||
\(517\) | 1.28177i | 0.0563721i | ||||||||
\(518\) | 7.49318 | − | 17.5876i | 0.329231 | − | 0.772753i | ||||
\(519\) | − | 20.9797i | − | 0.920905i | ||||||
\(520\) | −2.67116 | − | 13.4176i | −0.117138 | − | 0.588400i | ||||
\(521\) | 7.85043 | + | 4.53245i | 0.343934 | + | 0.198570i | 0.662010 | − | 0.749495i | \(-0.269704\pi\) |
−0.318077 | + | 0.948065i | \(0.603037\pi\) | |||||||
\(522\) | 3.98999 | − | 5.44227i | 0.174637 | − | 0.238201i | ||||
\(523\) | −8.80370 | − | 15.2485i | −0.384959 | − | 0.666768i | 0.606805 | − | 0.794851i | \(-0.292451\pi\) |
−0.991764 | + | 0.128083i | \(0.959118\pi\) | |||||||
\(524\) | 18.8737 | + | 4.18209i | 0.824502 | + | 0.182695i | ||||
\(525\) | 5.47944 | + | 5.84103i | 0.239142 | + | 0.254924i | ||||
\(526\) | 1.19975 | − | 10.9603i | 0.0523117 | − | 0.477890i | ||||
\(527\) | −14.6336 | + | 8.44869i | −0.637448 | + | 0.368031i | ||||
\(528\) | −8.31541 | − | 11.8702i | −0.361882 | − | 0.516586i | ||||
\(529\) | 5.35780 | − | 9.27999i | 0.232948 | − | 0.403478i | ||||
\(530\) | −4.35180 | + | 1.91512i | −0.189030 | + | 0.0831874i | ||||
\(531\) | −60.9171 | −2.64358 | ||||||||
\(532\) | −7.52537 | + | 0.0888734i | −0.326266 | + | 0.00385315i | ||||
\(533\) | 36.1166 | 1.56438 | ||||||||
\(534\) | 15.4430 | − | 6.79608i | 0.668285 | − | 0.294095i | ||||
\(535\) | 0.421235 | − | 0.729600i | 0.0182116 | − | 0.0315434i | ||||
\(536\) | −19.6887 | − | 22.4434i | −0.850423 | − | 0.969408i | ||||
\(537\) | −55.3462 | + | 31.9542i | −2.38837 | + | 1.37892i | ||||
\(538\) | 3.24890 | − | 29.6801i | 0.140070 | − | 1.27960i | ||||
\(539\) | −8.36161 | − | 0.534711i | −0.360160 | − | 0.0230316i | ||||
\(540\) | −4.14282 | + | 18.6965i | −0.178279 | + | 0.804570i | ||||
\(541\) | 13.9811 | + | 24.2160i | 0.601094 | + | 1.04113i | 0.992656 | + | 0.120974i | \(0.0386018\pi\) |
−0.391561 | + | 0.920152i | \(0.628065\pi\) | |||||||
\(542\) | −17.9952 | + | 24.5451i | −0.772960 | + | 1.05430i | ||||
\(543\) | 16.0027 | + | 9.23918i | 0.686743 | + | 0.396491i | ||||
\(544\) | 14.3951 | + | 0.310258i | 0.617184 | + | 0.0133022i | ||||
\(545\) | 3.95068i | 0.169229i | ||||||||
\(546\) | −6.60396 | − | 54.3847i | −0.282624 | − | 2.32745i | ||||
\(547\) | 29.6385i | 1.26725i | 0.773640 | + | 0.633626i | \(0.218434\pi\) | ||||
−0.773640 | + | 0.633626i | \(0.781566\pi\) | |||||||
\(548\) | −2.57231 | − | 8.15530i | −0.109884 | − | 0.348377i | ||||
\(549\) | −51.2227 | − | 29.5735i | −2.18613 | − | 1.26216i | ||||
\(550\) | −1.36516 | − | 1.00087i | −0.0582108 | − | 0.0426771i | ||||
\(551\) | 0.550581 | + | 0.953634i | 0.0234555 | + | 0.0406262i | ||||
\(552\) | 15.9726 | − | 47.0786i | 0.679841 | − | 2.00380i | ||||
\(553\) | −20.7796 | + | 19.4932i | −0.883638 | + | 0.828935i | ||||
\(554\) | 7.26446 | + | 0.795196i | 0.308637 | + | 0.0337846i | ||||
\(555\) | 13.3941 | − | 7.73310i | 0.568549 | − | 0.328252i | ||||
\(556\) | 10.1832 | − | 11.1154i | 0.431865 | − | 0.471399i | ||||
\(557\) | −17.8667 | + | 30.9460i | −0.757037 | + | 1.31123i | 0.187319 | + | 0.982299i | \(0.440020\pi\) |
−0.944355 | + | 0.328927i | \(0.893313\pi\) | |||||||
\(558\) | 23.3067 | + | 52.9608i | 0.986651 | + | 2.24201i | ||||
\(559\) | −6.68471 | −0.282733 | ||||||||
\(560\) | −7.88725 | − | 7.05629i | −0.333297 | − | 0.298183i | ||||
\(561\) | 9.22231 | 0.389366 | ||||||||
\(562\) | 8.90471 | + | 20.2346i | 0.375623 | + | 0.853544i | ||||
\(563\) | −11.5023 | + | 19.9226i | −0.484766 | + | 0.839639i | −0.999847 | − | 0.0175025i | \(-0.994429\pi\) |
0.515081 | + | 0.857142i | \(0.327762\pi\) | |||||||
\(564\) | −4.37941 | + | 4.78031i | −0.184407 | + | 0.201288i | ||||
\(565\) | 2.32269 | − | 1.34101i | 0.0977163 | − | 0.0564166i | ||||
\(566\) | 40.1642 | + | 4.39653i | 1.68823 | + | 0.184800i | ||||
\(567\) | −8.03910 | + | 26.5773i | −0.337611 | + | 1.11614i | ||||
\(568\) | −14.8377 | + | 43.7333i | −0.622574 | + | 1.83501i | ||||
\(569\) | 9.43937 | + | 16.3495i | 0.395719 | + | 0.685405i | 0.993193 | − | 0.116483i | \(-0.0371621\pi\) |
−0.597474 | + | 0.801888i | \(0.703829\pi\) | |||||||
\(570\) | −4.91030 | − | 3.59997i | −0.205670 | − | 0.150786i | ||||
\(571\) | 20.7520 | + | 11.9812i | 0.868446 | + | 0.501397i | 0.866831 | − | 0.498601i | \(-0.166153\pi\) |
0.00161422 | + | 0.999999i | \(0.499486\pi\) | |||||||
\(572\) | 3.48310 | + | 11.0429i | 0.145636 | + | 0.461726i | ||||
\(573\) | − | 11.2401i | − | 0.469561i | ||||||
\(574\) | 22.3350 | − | 16.7840i | 0.932246 | − | 0.700550i | ||||
\(575\) | − | 5.80651i | − | 0.242148i | ||||||
\(576\) | 6.41994 | − | 48.8853i | 0.267498 | − | 2.03689i | ||||
\(577\) | 9.20684 | + | 5.31557i | 0.383286 | + | 0.221290i | 0.679247 | − | 0.733910i | \(-0.262307\pi\) |
−0.295961 | + | 0.955200i | \(0.595640\pi\) | |||||||
\(578\) | 8.79778 | − | 12.0000i | 0.365939 | − | 0.499134i | ||||
\(579\) | −23.2038 | − | 40.1902i | −0.964318 | − | 1.67025i | ||||
\(580\) | −0.334988 | + | 1.51180i | −0.0139096 | + | 0.0627740i | ||||
\(581\) | −40.7103 | + | 9.52641i | −1.68895 | + | 0.395222i | ||||
\(582\) | 4.05912 | − | 37.0819i | 0.168256 | − | 1.53709i | ||||
\(583\) | 3.48501 | − | 2.01207i | 0.144335 | − | 0.0833316i | ||||
\(584\) | −0.199786 | − | 0.227739i | −0.00826720 | − | 0.00942389i | ||||
\(585\) | 14.9053 | − | 25.8167i | 0.616258 | − | 1.06739i | ||||
\(586\) | −0.850656 | + | 0.374352i | −0.0351403 | + | 0.0154643i | ||||
\(587\) | −0.240690 | −0.00993436 | −0.00496718 | − | 0.999988i | \(-0.501581\pi\) | ||||
−0.00496718 | + | 0.999988i | \(0.501581\pi\) | |||||||
\(588\) | −29.3574 | − | 30.5633i | −1.21068 | − | 1.26041i | ||||
\(589\) | −9.44189 | −0.389046 | ||||||||
\(590\) | 12.7942 | − | 5.63038i | 0.526727 | − | 0.231799i | ||||
\(591\) | 37.0214 | − | 64.1229i | 1.52286 | − | 2.63766i | ||||
\(592\) | −16.7387 | + | 11.7259i | −0.687956 | + | 0.481931i | ||||
\(593\) | −26.7822 | + | 15.4627i | −1.09981 | + | 0.634977i | −0.936172 | − | 0.351543i | \(-0.885657\pi\) |
−0.163640 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(594\) | 1.76366 | − | 16.1119i | 0.0723640 | − | 0.661077i | ||||
\(595\) | 6.55711 | − | 1.53440i | 0.268815 | − | 0.0629041i | ||||
\(596\) | −5.57995 | − | 1.23642i | −0.228564 | − | 0.0506458i | ||||
\(597\) | −19.4734 | − | 33.7290i | −0.796995 | − | 1.38044i | ||||
\(598\) | −23.4846 | + | 32.0325i | −0.960356 | + | 1.30991i | ||||
\(599\) | −25.9364 | − | 14.9744i | −1.05973 | − | 0.611838i | −0.134376 | − | 0.990930i | \(-0.542903\pi\) |
−0.925359 | + | 0.379092i | \(0.876236\pi\) | |||||||
\(600\) | −1.67168 | − | 8.39706i | −0.0682459 | − | 0.342808i | ||||
\(601\) | 23.0748i | 0.941241i | 0.882336 | + | 0.470621i | \(0.155970\pi\) | ||||
−0.882336 | + | 0.470621i | \(0.844030\pi\) | |||||||
\(602\) | −4.13392 | + | 3.10649i | −0.168486 | + | 0.126611i | ||||
\(603\) | − | 65.0550i | − | 2.64925i | ||||||
\(604\) | −12.6059 | + | 3.97609i | −0.512925 | + | 0.161785i | ||||
\(605\) | −8.28552 | − | 4.78365i | −0.336854 | − | 0.194483i | ||||
\(606\) | 10.3762 | + | 7.60726i | 0.421502 | + | 0.309024i | ||||
\(607\) | 8.94004 | + | 15.4846i | 0.362865 | + | 0.628501i | 0.988431 | − | 0.151670i | \(-0.0484652\pi\) |
−0.625566 | + | 0.780171i | \(0.715132\pi\) | |||||||
\(608\) | 6.87932 | + | 4.17197i | 0.278993 | + | 0.169196i | ||||
\(609\) | −1.79526 | + | 5.93516i | −0.0727477 | + | 0.240505i | ||||
\(610\) | 13.4915 | + | 1.47683i | 0.546254 | + | 0.0597950i | ||||
\(611\) | 4.48571 | − | 2.58982i | 0.181472 | − | 0.104773i | ||||
\(612\) | 23.1337 | + | 21.1936i | 0.935123 | + | 0.856699i | ||||
\(613\) | 4.18505 | − | 7.24872i | 0.169033 | − | 0.292773i | −0.769047 | − | 0.639192i | \(-0.779269\pi\) |
0.938080 | + | 0.346419i | \(0.112602\pi\) | |||||||
\(614\) | −2.78008 | − | 6.31729i | −0.112195 | − | 0.254945i | ||||
\(615\) | 22.6027 | 0.911427 | ||||||||
\(616\) | 7.28580 | + | 5.21042i | 0.293553 | + | 0.209934i | ||||
\(617\) | 33.7886 | 1.36028 | 0.680139 | − | 0.733084i | \(-0.261920\pi\) | ||||
0.680139 | + | 0.733084i | \(0.261920\pi\) | |||||||
\(618\) | −0.659987 | − | 1.49972i | −0.0265486 | − | 0.0603275i | ||||
\(619\) | 16.6442 | − | 28.8285i | 0.668986 | − | 1.15872i | −0.309203 | − | 0.950996i | \(-0.600062\pi\) |
0.978188 | − | 0.207721i | \(-0.0666046\pi\) | |||||||
\(620\) | −9.79001 | − | 8.96897i | −0.393176 | − | 0.360203i | ||||
\(621\) | 48.1487 | − | 27.7987i | 1.93214 | − | 1.11552i | ||||
\(622\) | −16.7247 | − | 1.83075i | −0.670600 | − | 0.0734065i | ||||
\(623\) | −7.60510 | + | 7.13430i | −0.304692 | + | 0.285830i | ||||
\(624\) | −24.7400 | + | 53.0848i | −0.990394 | + | 2.12509i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 30.3465 | + | 22.2485i | 1.21289 | + | 0.889229i | ||||
\(627\) | 4.46283 | + | 2.57661i | 0.178228 | + | 0.102900i | ||||
\(628\) | 29.7227 | − | 9.37503i | 1.18607 | − | 0.374105i | ||||
\(629\) | − | 13.0047i | − | 0.518533i | ||||||
\(630\) | −2.77981 | − | 22.8922i | −0.110750 | − | 0.912045i | ||||
\(631\) | 43.1690i | 1.71853i | 0.511528 | + | 0.859266i | \(0.329079\pi\) | ||||
−0.511528 | + | 0.859266i | \(0.670921\pi\) | |||||||
\(632\) | 29.8727 | − | 5.94702i | 1.18827 | − | 0.236560i | ||||
\(633\) | 44.4043 | + | 25.6368i | 1.76491 | + | 1.01897i | ||||
\(634\) | −22.1216 | + | 30.1735i | −0.878563 | + | 1.19834i | ||||
\(635\) | −1.07017 | − | 1.85359i | −0.0424685 | − | 0.0735576i | ||||
\(636\) | 19.8719 | + | 4.40327i | 0.787972 | + | 0.174601i | ||||
\(637\) | 15.0234 | + | 30.3429i | 0.595250 | + | 1.20223i | ||||
\(638\) | 0.142610 | − | 1.30280i | 0.00564597 | − | 0.0515784i | ||||
\(639\) | −87.1481 | + | 50.3150i | −3.44753 | + | 1.99043i | ||||
\(640\) | 3.16996 | + | 10.8605i | 0.125304 | + | 0.429301i | ||||
\(641\) | −16.0131 | + | 27.7355i | −0.632479 | + | 1.09548i | 0.354565 | + | 0.935031i | \(0.384629\pi\) |
−0.987043 | + | 0.160454i | \(0.948704\pi\) | |||||||
\(642\) | −3.30103 | + | 1.45270i | −0.130281 | + | 0.0573335i | ||||
\(643\) | 37.9515 | 1.49666 | 0.748331 | − | 0.663326i | \(-0.230856\pi\) | ||||
0.748331 | + | 0.663326i | \(0.230856\pi\) | |||||||
\(644\) | 0.362834 | + | 30.7230i | 0.0142977 | + | 1.21066i | ||||
\(645\) | −4.18346 | −0.164723 | ||||||||
\(646\) | −4.68590 | + | 2.06214i | −0.184364 | + | 0.0811339i | ||||
\(647\) | 4.49386 | − | 7.78359i | 0.176672 | − | 0.306004i | −0.764067 | − | 0.645137i | \(-0.776800\pi\) |
0.940739 | + | 0.339133i | \(0.110134\pi\) | |||||||
\(648\) | 22.3143 | − | 19.5754i | 0.876587 | − | 0.768994i | ||||
\(649\) | −10.2458 | + | 5.91543i | −0.402184 | + | 0.232201i | ||||
\(650\) | −0.744335 | + | 6.79982i | −0.0291952 | + | 0.266711i | ||||
\(651\) | −36.3761 | − | 38.7766i | −1.42569 | − | 1.51977i | ||||
\(652\) | −4.17108 | + | 18.8240i | −0.163352 | + | 0.737205i | ||||
\(653\) | −9.13956 | − | 15.8302i | −0.357658 | − | 0.619483i | 0.629911 | − | 0.776668i | \(-0.283091\pi\) |
−0.987569 | + | 0.157185i | \(0.949758\pi\) | |||||||
\(654\) | 9.99983 | − | 13.6396i | 0.391024 | − | 0.533349i | ||||
\(655\) | −8.37078 | − | 4.83287i | −0.327074 | − | 0.188836i | ||||
\(656\) | −29.7532 | + | 2.60947i | −1.16167 | + | 0.101883i | ||||
\(657\) | − | 0.660129i | − | 0.0257541i | ||||||
\(658\) | 1.57049 | − | 3.68617i | 0.0612241 | − | 0.143702i | ||||
\(659\) | 36.9643i | 1.43992i | 0.694014 | + | 0.719962i | \(0.255841\pi\) | ||||
−0.694014 | + | 0.719962i | \(0.744159\pi\) | |||||||
\(660\) | 2.17981 | + | 6.91091i | 0.0848490 | + | 0.269007i | ||||
\(661\) | −19.9261 | − | 11.5043i | −0.775035 | − | 0.447466i | 0.0596330 | − | 0.998220i | \(-0.481007\pi\) |
−0.834668 | + | 0.550754i | \(0.814340\pi\) | |||||||
\(662\) | −27.6951 | − | 20.3046i | −1.07640 | − | 0.789162i | ||||
\(663\) | −18.6338 | − | 32.2746i | −0.723676 | − | 1.25344i | ||||
\(664\) | 42.3271 | + | 14.3606i | 1.64261 | + | 0.557298i | ||||
\(665\) | 3.60178 | + | 1.08947i | 0.139671 | + | 0.0422477i | ||||
\(666\) | −44.2682 | − | 4.84576i | −1.71536 | − | 0.187769i | ||||
\(667\) | 3.89330 | − | 2.24780i | 0.150749 | − | 0.0870351i | ||||
\(668\) | 6.68589 | − | 7.29793i | 0.258685 | − | 0.282365i | ||||
\(669\) | 28.7098 | − | 49.7268i | 1.10998 | − | 1.92255i | ||||
\(670\) | 6.01284 | + | 13.6632i | 0.232296 | + | 0.527857i | ||||
\(671\) | −11.4871 | −0.443453 | ||||||||
\(672\) | 9.36977 | + | 44.3255i | 0.361447 | + | 1.70989i | ||||
\(673\) | −42.0925 | −1.62255 | −0.811273 | − | 0.584668i | \(-0.801225\pi\) | ||||
−0.811273 | + | 0.584668i | \(0.801225\pi\) | |||||||
\(674\) | 11.2263 | + | 25.5100i | 0.432420 | + | 0.982608i | ||||
\(675\) | 4.78750 | − | 8.29219i | 0.184271 | − | 0.319167i | ||||
\(676\) | 14.0450 | − | 15.3307i | 0.540192 | − | 0.589642i | ||||
\(677\) | 21.0662 | − | 12.1626i | 0.809642 | − | 0.467447i | −0.0371897 | − | 0.999308i | \(-0.511841\pi\) |
0.846831 | + | 0.531861i | \(0.178507\pi\) | |||||||
\(678\) | −11.4133 | − | 1.24934i | −0.438325 | − | 0.0479807i | ||||
\(679\) | 5.25302 | + | 22.4483i | 0.201592 | + | 0.861487i | ||||
\(680\) | −6.81752 | − | 2.31302i | −0.261440 | − | 0.0887002i | ||||
\(681\) | −1.41433 | − | 2.44969i | −0.0541972 | − | 0.0938723i | ||||
\(682\) | 9.06285 | + | 6.64441i | 0.347034 | + | 0.254428i | ||||
\(683\) | −16.6251 | − | 9.59853i | −0.636144 | − | 0.367278i | 0.146984 | − | 0.989139i | \(-0.453043\pi\) |
−0.783127 | + | 0.621861i | \(0.786377\pi\) | |||||||
\(684\) | 5.27350 | + | 16.7192i | 0.201637 | + | 0.639274i | ||||
\(685\) | 4.27568i | 0.163365i | ||||||||
\(686\) | 23.3915 | + | 11.7828i | 0.893093 | + | 0.449871i | ||||
\(687\) | − | 39.5963i | − | 1.51069i | ||||||
\(688\) | 5.50693 | − | 0.482979i | 0.209950 | − | 0.0184134i | ||||
\(689\) | −14.0830 | − | 8.13083i | −0.536520 | − | 0.309760i | ||||
\(690\) | −14.6972 | + | 20.0467i | −0.559514 | + | 0.763167i | ||||
\(691\) | −7.00274 | − | 12.1291i | −0.266397 | − | 0.461413i | 0.701532 | − | 0.712638i | \(-0.252500\pi\) |
−0.967929 | + | 0.251225i | \(0.919167\pi\) | |||||||
\(692\) | 2.99871 | − | 13.5331i | 0.113994 | − | 0.514453i | ||||
\(693\) | 4.44710 | + | 19.0043i | 0.168931 | + | 0.721914i | ||||
\(694\) | −1.29834 | + | 11.8609i | −0.0492842 | + | 0.450233i | ||||
\(695\) | −6.52760 | + | 3.76871i | −0.247606 | + | 0.142955i | ||||
\(696\) | 4.98314 | − | 4.37151i | 0.188885 | − | 0.165702i | ||||
\(697\) | 9.50271 | − | 16.4592i | 0.359941 | − | 0.623436i | ||||
\(698\) | −30.5203 | + | 13.4312i | −1.15521 | + | 0.508378i | ||||
\(699\) | −47.2271 | −1.78629 | ||||||||
\(700\) | 2.69968 | + | 4.55101i | 0.102038 | + | 0.172012i | ||||
\(701\) | 11.9124 | 0.449923 | 0.224962 | − | 0.974368i | \(-0.427774\pi\) | ||||
0.224962 | + | 0.974368i | \(0.427774\pi\) | |||||||
\(702\) | −59.9490 | + | 26.3820i | −2.26263 | + | 0.995724i | ||||
\(703\) | 3.63338 | − | 6.29320i | 0.137036 | − | 0.237353i | ||||
\(704\) | −3.66727 | − | 8.84557i | −0.138216 | − | 0.333380i | ||||
\(705\) | 2.80727 | − | 1.62078i | 0.105728 | − | 0.0610420i | ||||
\(706\) | 3.18120 | − | 29.0616i | 0.119726 | − | 1.09375i | ||||
\(707\) | −7.61108 | − | 2.30220i | −0.286244 | − | 0.0865830i | ||||
\(708\) | −58.4227 | − | 12.9455i | −2.19566 | − | 0.486520i | ||||
\(709\) | −23.6490 | − | 40.9613i | −0.888158 | − | 1.53833i | −0.842051 | − | 0.539398i | \(-0.818652\pi\) |
−0.0461071 | − | 0.998937i | \(-0.514682\pi\) | |||||||
\(710\) | 13.6529 | − | 18.6223i | 0.512384 | − | 0.698881i | ||||
\(711\) | 57.4779 | + | 33.1849i | 2.15559 | + | 1.24453i | ||||
\(712\) | 10.9331 | − | 2.17654i | 0.409734 | − | 0.0815694i | ||||
\(713\) | 38.5474i | 1.44361i | ||||||||
\(714\) | −26.5219 | − | 11.2997i | −0.992559 | − | 0.422880i | ||||
\(715\) | − | 5.78958i | − | 0.216518i | ||||||
\(716\) | −40.2689 | + | 12.7015i | −1.50492 | + | 0.474676i | ||||
\(717\) | 37.0491 | + | 21.3903i | 1.38362 | + | 0.798835i | ||||
\(718\) | 31.3097 | + | 22.9547i | 1.16847 | + | 0.856661i | ||||
\(719\) | −0.888951 | − | 1.53971i | −0.0331523 | − | 0.0574214i | 0.848973 | − | 0.528436i | \(-0.177221\pi\) |
−0.882125 | + | 0.471014i | \(0.843888\pi\) | |||||||
\(720\) | −10.4138 | + | 22.3450i | −0.388101 | + | 0.832749i | ||||
\(721\) | 0.692832 | + | 0.738552i | 0.0258024 | + | 0.0275051i | ||||
\(722\) | 23.8668 | + | 2.61255i | 0.888230 | + | 0.0972290i | ||||
\(723\) | −56.5806 | + | 32.6668i | −2.10425 | + | 1.21489i | ||||
\(724\) | 9.00213 | + | 8.24716i | 0.334561 | + | 0.306503i | ||||
\(725\) | 0.387117 | − | 0.670506i | 0.0143772 | − | 0.0249020i | ||||
\(726\) | 16.4972 | + | 37.4874i | 0.612269 | + | 1.39129i | ||||
\(727\) | −27.1619 | −1.00738 | −0.503689 | − | 0.863885i | \(-0.668024\pi\) | ||||
−0.503689 | + | 0.863885i | \(0.668024\pi\) | |||||||
\(728\) | 3.51347 | − | 36.0253i | 0.130218 | − | 1.33519i | ||||
\(729\) | −22.2718 | −0.824883 | ||||||||
\(730\) | 0.0610137 | + | 0.138644i | 0.00225822 | + | 0.00513145i | ||||
\(731\) | −1.75883 | + | 3.04638i | −0.0650526 | + | 0.112674i | ||||
\(732\) | −42.8406 | − | 39.2478i | −1.58344 | − | 1.45064i | ||||
\(733\) | 19.7246 | − | 11.3880i | 0.728543 | − | 0.420625i | −0.0893459 | − | 0.996001i | \(-0.528478\pi\) |
0.817889 | + | 0.575376i | \(0.195144\pi\) | |||||||
\(734\) | −28.1763 | − | 3.08428i | −1.04001 | − | 0.113843i | ||||
\(735\) | 9.40204 | + | 18.9893i | 0.346799 | + | 0.700432i | ||||
\(736\) | 17.0324 | − | 28.0855i | 0.627824 | − | 1.03525i | ||||
\(737\) | −6.31725 | − | 10.9418i | −0.232699 | − | 0.403046i | ||||
\(738\) | −52.4862 | − | 38.4802i | −1.93205 | − | 1.41648i | ||||
\(739\) | −28.1611 | − | 16.2588i | −1.03592 | − | 0.598091i | −0.117247 | − | 0.993103i | \(-0.537407\pi\) |
−0.918676 | + | 0.395012i | \(0.870740\pi\) | |||||||
\(740\) | 9.74533 | − | 3.07384i | 0.358246 | − | 0.112996i | ||||
\(741\) | − | 20.8243i | − | 0.764999i | ||||||
\(742\) | −12.4877 | + | 1.51638i | −0.458437 | + | 0.0556682i | ||||
\(743\) | 9.19402i | 0.337296i | 0.985676 | + | 0.168648i | \(0.0539401\pi\) | ||||
−0.985676 | + | 0.168648i | \(0.946060\pi\) | |||||||
\(744\) | 11.0977 | + | 55.7451i | 0.406860 | + | 2.04372i | ||||
\(745\) | 2.47480 | + | 1.42882i | 0.0906695 | + | 0.0523480i | ||||
\(746\) | 17.2179 | − | 23.4848i | 0.630391 | − | 0.859841i | ||||
\(747\) | 48.6971 | + | 84.3459i | 1.78173 | + | 3.08605i | ||||
\(748\) | 5.94894 | + | 1.31818i | 0.217515 | + | 0.0481975i | ||||
\(749\) | 1.62563 | − | 1.52499i | 0.0593993 | − | 0.0557221i | ||||
\(750\) | −0.465823 | + | 4.25550i | −0.0170095 | + | 0.155389i | ||||
\(751\) | 17.5852 | − | 10.1528i | 0.641692 | − | 0.370481i | −0.143574 | − | 0.989640i | \(-0.545860\pi\) |
0.785266 | + | 0.619159i | \(0.212526\pi\) | |||||||
\(752\) | −3.50825 | + | 2.45762i | −0.127933 | + | 0.0896202i | ||||
\(753\) | −1.58104 | + | 2.73843i | −0.0576161 | + | 0.0997941i | ||||
\(754\) | −4.84747 | + | 2.13324i | −0.176534 | + | 0.0776882i | ||||
\(755\) | 6.60903 | 0.240527 | ||||||||
\(756\) | −24.8131 | + | 44.1743i | −0.902446 | + | 1.60660i | ||||
\(757\) | 10.9555 | 0.398184 | 0.199092 | − | 0.979981i | \(-0.436201\pi\) | ||||
0.199092 | + | 0.979981i | \(0.436201\pi\) | |||||||
\(758\) | 4.22418 | − | 1.85895i | 0.153429 | − | 0.0675202i | ||||
\(759\) | 10.5193 | − | 18.2199i | 0.381825 | − | 0.661341i | ||||
\(760\) | −2.65287 | − | 3.02405i | −0.0962299 | − | 0.109694i | ||||
\(761\) | −27.2104 | + | 15.7099i | −0.986375 | + | 0.569484i | −0.904189 | − | 0.427133i | \(-0.859523\pi\) |
−0.0821860 | + | 0.996617i | \(0.526190\pi\) | |||||||
\(762\) | −0.997022 | + | 9.10823i | −0.0361183 | + | 0.329957i | ||||
\(763\) | −3.02626 | + | 10.0048i | −0.109558 | + | 0.362200i | ||||
\(764\) | 1.60659 | − | 7.25052i | 0.0581243 | − | 0.262314i | ||||
\(765\) | −7.84352 | − | 13.5854i | −0.283583 | − | 0.491180i | ||||
\(766\) | −28.2219 | + | 38.4941i | −1.01970 | + | 1.39085i | ||||
\(767\) | 41.4036 | + | 23.9044i | 1.49500 | + | 0.863137i | ||||
\(768\) | 16.5456 | − | 45.5193i | 0.597040 | − | 1.64253i | ||||
\(769\) | − | 23.9511i | − | 0.863700i | −0.901945 | − | 0.431850i | \(-0.857861\pi\) | ||
0.901945 | − | 0.431850i | \(-0.142139\pi\) | |||||||
\(770\) | −2.69051 | − | 3.58036i | −0.0969594 | − | 0.129027i | ||||
\(771\) | 14.8444i | 0.534606i | ||||||||
\(772\) | −9.22330 | − | 29.2417i | −0.331954 | − | 1.05243i | ||||
\(773\) | −13.1506 | − | 7.59249i | −0.472993 | − | 0.273083i | 0.244499 | − | 0.969650i | \(-0.421377\pi\) |
−0.717492 | + | 0.696567i | \(0.754710\pi\) | |||||||
\(774\) | 9.71452 | + | 7.12218i | 0.349181 | + | 0.256002i | ||||
\(775\) | 3.31933 | + | 5.74924i | 0.119234 | + | 0.206519i | ||||
\(776\) | 7.91864 | − | 23.3398i | 0.284263 | − | 0.837851i | ||||
\(777\) | 39.8434 | − | 9.32355i | 1.42937 | − | 0.334480i | ||||
\(778\) | 5.07793 | + | 0.555850i | 0.182053 | + | 0.0199282i | ||||
\(779\) | 9.19703 | − | 5.30991i | 0.329518 | − | 0.190247i | ||||
\(780\) | 19.7813 | − | 21.5921i | 0.708282 | − | 0.773120i | ||||
\(781\) | −9.77179 | + | 16.9252i | −0.349662 | + | 0.605633i | ||||
\(782\) | 8.41889 | + | 19.1306i | 0.301059 | + | 0.684109i | ||||
\(783\) | 7.41329 | 0.264929 | ||||||||
\(784\) | −14.5688 | − | 23.9113i | −0.520313 | − | 0.853976i | ||||
\(785\) | −15.5831 | −0.556185 | ||||||||
\(786\) | 16.6670 | + | 37.8731i | 0.594492 | + | 1.35089i | ||||
\(787\) | −9.14982 | + | 15.8480i | −0.326156 | + | 0.564919i | −0.981746 | − | 0.190199i | \(-0.939087\pi\) |
0.655590 | + | 0.755117i | \(0.272420\pi\) | |||||||
\(788\) | 33.0463 | − | 36.0715i | 1.17723 | − | 1.28499i | ||||
\(789\) | 20.4383 | − | 11.8001i | 0.727624 | − | 0.420094i | ||||
\(790\) | −15.1390 | − | 1.65717i | −0.538622 | − | 0.0589596i | ||||
\(791\) | 6.90929 | − | 1.61681i | 0.245666 | − | 0.0574870i | ||||
\(792\) | 6.70376 | − | 19.7590i | 0.238208 | − | 0.702107i | ||||
\(793\) | 23.2097 | + | 40.2004i | 0.824201 | + | 1.42756i | ||||
\(794\) | −8.52802 | − | 6.25230i | −0.302648 | − | 0.221886i | ||||
\(795\) | −8.81350 | − | 5.08847i | −0.312583 | − | 0.180470i | ||||
\(796\) | −7.74051 | − | 24.5406i | −0.274355 | − | 0.869819i | ||||
\(797\) | 15.0960i | 0.534728i | 0.963596 | + | 0.267364i | \(0.0861526\pi\) | ||||
−0.963596 | + | 0.267364i | \(0.913847\pi\) | |||||||
\(798\) | −9.67739 | − | 12.8780i | −0.342576 | − | 0.455878i | ||||
\(799\) | − | 2.72566i | − | 0.0964268i | ||||||
\(800\) | 0.121894 | − | 5.65554i | 0.00430962 | − | 0.199954i | ||||
\(801\) | 21.0363 | + | 12.1453i | 0.743280 | + | 0.429133i | ||||
\(802\) | −7.98277 | + | 10.8883i | −0.281881 | + | 0.384481i | ||||
\(803\) | −0.0641026 | − | 0.111029i | −0.00226213 | − | 0.00391813i | ||||
\(804\) | 13.8248 | − | 62.3912i | 0.487563 | − | 2.20037i | ||||
\(805\) | 4.44785 | − | 14.7046i | 0.156766 | − | 0.518270i | ||||
\(806\) | 4.94138 | − | 45.1417i | 0.174053 | − | 1.59005i | ||||
\(807\) | 55.3464 | − | 31.9543i | 1.94829 | − | 1.12484i | ||||
\(808\) | 5.60590 | + | 6.39024i | 0.197215 | + | 0.224808i | ||||
\(809\) | −22.2240 | + | 38.4931i | −0.781355 | + | 1.35335i | 0.149797 | + | 0.988717i | \(0.452138\pi\) |
−0.931153 | + | 0.364630i | \(0.881196\pi\) | |||||||
\(810\) | −13.5846 | + | 5.97823i | −0.477314 | + | 0.210054i | ||||
\(811\) | 34.6449 | 1.21655 | 0.608274 | − | 0.793727i | \(-0.291862\pi\) | ||||
0.608274 | + | 0.793727i | \(0.291862\pi\) | |||||||
\(812\) | −2.00639 | + | 3.57193i | −0.0704104 | + | 0.125350i | ||||
\(813\) | −65.1449 | −2.28473 | ||||||||
\(814\) | −7.91614 | + | 3.48369i | −0.277461 | + | 0.122103i | ||||
\(815\) | 4.82015 | − | 8.34874i | 0.168842 | − | 0.292444i | ||||
\(816\) | 17.6826 | + | 25.2419i | 0.619014 | + | 0.883642i | ||||
\(817\) | −1.70225 | + | 0.982794i | −0.0595542 | + | 0.0343836i | ||||
\(818\) | −3.33496 | + | 30.4663i | −0.116604 | + | 1.06523i | ||||
\(819\) | 57.5225 | − | 53.9616i | 2.01000 | − | 1.88557i | ||||
\(820\) | 14.5801 | + | 3.23069i | 0.509158 | + | 0.112821i | ||||
\(821\) | −11.8550 | − | 20.5335i | −0.413742 | − | 0.716622i | 0.581553 | − | 0.813508i | \(-0.302445\pi\) |
−0.995296 | + | 0.0968858i | \(0.969112\pi\) | |||||||
\(822\) | 10.8224 | − | 14.7616i | 0.377476 | − | 0.514870i | ||||
\(823\) | 5.62203 | + | 3.24588i | 0.195972 | + | 0.113144i | 0.594775 | − | 0.803892i | \(-0.297241\pi\) |
−0.398803 | + | 0.917036i | \(0.630574\pi\) | |||||||
\(824\) | −0.211370 | − | 1.06174i | −0.00736343 | − | 0.0369875i | ||||
\(825\) | − | 3.62326i | − | 0.126146i | ||||||
\(826\) | 36.7133 | − | 4.45812i | 1.27742 | − | 0.155118i | ||||
\(827\) | 39.4872i | 1.37310i | 0.727081 | + | 0.686552i | \(0.240877\pi\) | ||||
−0.727081 | + | 0.686552i | \(0.759123\pi\) | |||||||
\(828\) | 68.2577 | − | 21.5296i | 2.37212 | − | 0.748205i | ||||
\(829\) | −2.82562 | − | 1.63137i | −0.0981377 | − | 0.0566598i | 0.450128 | − | 0.892964i | \(-0.351378\pi\) |
−0.548266 | + | 0.836304i | \(0.684712\pi\) | |||||||
\(830\) | −18.0235 | − | 13.2139i | −0.625604 | − | 0.458660i | ||||
\(831\) | 7.82108 | + | 13.5465i | 0.271310 | + | 0.469923i | ||||
\(832\) | −23.5464 | + | 30.7067i | −0.816325 | + | 1.06456i | ||||
\(833\) | 17.7808 | + | 1.13705i | 0.616069 | + | 0.0393966i | ||||
\(834\) | 32.0755 | + | 3.51110i | 1.11068 | + | 0.121580i | ||||
\(835\) | −4.28575 | + | 2.47438i | −0.148315 | + | 0.0856294i | ||||
\(836\) | 2.51050 | + | 2.29996i | 0.0868276 | + | 0.0795457i | ||||
\(837\) | −31.7826 | + | 55.0490i | −1.09857 | + | 1.90277i | ||||
\(838\) | −7.42394 | − | 16.8698i | −0.256456 | − | 0.582756i | ||||
\(839\) | −5.39522 | −0.186264 | −0.0931318 | − | 0.995654i | \(-0.529688\pi\) | ||||
−0.0931318 | + | 0.995654i | \(0.529688\pi\) | |||||||
\(840\) | 2.19882 | − | 22.5455i | 0.0758664 | − | 0.777894i | ||||
\(841\) | −28.4006 | −0.979330 | ||||||||
\(842\) | −19.5272 | − | 44.3726i | −0.672952 | − | 1.52918i | ||||
\(843\) | −23.6599 | + | 40.9801i | −0.814889 | + | 1.41143i | ||||
\(844\) | 24.9790 | + | 22.8842i | 0.859814 | + | 0.787706i | ||||
\(845\) | −9.00304 | + | 5.19791i | −0.309714 | + | 0.178814i | ||||
\(846\) | −9.27814 | − | 1.01562i | −0.318989 | − | 0.0349178i | ||||
\(847\) | −17.3182 | − | 18.4611i | −0.595061 | − | 0.634330i | ||||
\(848\) | 12.1892 | + | 5.68074i | 0.418578 | + | 0.195077i | ||||
\(849\) | 43.2417 | + | 74.8968i | 1.48405 | + | 2.57045i | ||||
\(850\) | 2.90299 | + | 2.12833i | 0.0995719 | + | 0.0730010i | ||||
\(851\) | −25.6926 | − | 14.8336i | −0.880731 | − | 0.508490i | ||||
\(852\) | −94.2720 | + | 29.7349i | −3.22971 | + | 1.01870i | ||||
\(853\) | − | 10.7675i | − | 0.368672i | −0.982863 | − | 0.184336i | \(-0.940987\pi\) | ||
0.982863 | − | 0.184336i | \(-0.0590134\pi\) | |||||||
\(854\) | 33.0350 | + | 14.0746i | 1.13043 | + | 0.481622i | ||||
\(855\) | − | 8.76558i | − | 0.299776i | ||||||
\(856\) | −2.33700 | + | 0.465248i | −0.0798771 | + | 0.0159018i | ||||
\(857\) | −30.4752 | − | 17.5949i | −1.04101 | − | 0.601029i | −0.120892 | − | 0.992666i | \(-0.538576\pi\) |
−0.920120 | + | 0.391637i | \(0.871909\pi\) | |||||||
\(858\) | −14.6544 | + | 19.9883i | −0.500292 | + | 0.682389i | ||||
\(859\) | 20.6193 | + | 35.7136i | 0.703520 | + | 1.21853i | 0.967223 | + | 0.253929i | \(0.0817228\pi\) |
−0.263703 | + | 0.964604i | \(0.584944\pi\) | |||||||
\(860\) | −2.69858 | − | 0.597958i | −0.0920208 | − | 0.0203902i | ||||
\(861\) | 57.2398 | + | 17.3139i | 1.95073 | + | 0.590055i | ||||
\(862\) | 0.438960 | − | 4.01010i | 0.0149510 | − | 0.136584i | ||||
\(863\) | 19.9441 | − | 11.5147i | 0.678906 | − | 0.391966i | −0.120537 | − | 0.992709i | \(-0.538462\pi\) |
0.799443 | + | 0.600742i | \(0.205128\pi\) | |||||||
\(864\) | 47.4804 | − | 26.0651i | 1.61532 | − | 0.886754i | ||||
\(865\) | −3.46535 | + | 6.00216i | −0.117825 | + | 0.204079i | ||||
\(866\) | 44.8099 | − | 19.7197i | 1.52270 | − | 0.670103i | ||||
\(867\) | 31.8491 | 1.08165 | ||||||||
\(868\) | −17.9223 | − | 30.2126i | −0.608321 | − | 1.02548i | ||||
\(869\) | 12.8898 | 0.437258 | ||||||||
\(870\) | −3.03366 | + | 1.33504i | −0.102851 | + | 0.0452620i | ||||
\(871\) | −25.5281 | + | 44.2160i | −0.864987 | + | 1.49820i | ||||
\(872\) | 8.40004 | − | 7.36902i | 0.284461 | − | 0.249547i | ||||
\(873\) | 46.5097 | − | 26.8524i | 1.57411 | − | 0.908815i | ||||
\(874\) | −1.27085 | + | 11.6098i | −0.0429871 | + | 0.392706i | ||||
\(875\) | −0.602834 | − | 2.57616i | −0.0203795 | − | 0.0870900i | ||||
\(876\) | 0.140284 | − | 0.633098i | 0.00473974 | − | 0.0213904i | ||||
\(877\) | −2.03136 | − | 3.51842i | −0.0685941 | − | 0.118809i | 0.829689 | − | 0.558227i | \(-0.188518\pi\) |
−0.898283 | + | 0.439418i | \(0.855185\pi\) | |||||||
\(878\) | −9.14619 | + | 12.4752i | −0.308669 | + | 0.421018i | ||||
\(879\) | −1.72279 | − | 0.994655i | −0.0581084 | − | 0.0335489i | ||||
\(880\) | 0.418305 | + | 4.76952i | 0.0141010 | + | 0.160780i | ||||
\(881\) | − | 42.0606i | − | 1.41706i | −0.705682 | − | 0.708529i | \(-0.749359\pi\) | ||
0.705682 | − | 0.708529i | \(-0.250641\pi\) | |||||||
\(882\) | 10.4959 | − | 60.1023i | 0.353417 | − | 2.02375i | ||||
\(883\) | − | 54.8918i | − | 1.84725i | −0.383291 | − | 0.923627i | \(-0.625210\pi\) | ||
0.383291 | − | 0.923627i | \(-0.374790\pi\) | |||||||
\(884\) | −7.40675 | − | 23.4825i | −0.249116 | − | 0.789801i | ||||
\(885\) | 25.9114 | + | 14.9599i | 0.871002 | + | 0.502873i | ||||
\(886\) | −40.3681 | − | 29.5958i | −1.35619 | − | 0.994290i | ||||
\(887\) | −19.0622 | − | 33.0168i | −0.640047 | − | 1.10859i | −0.985422 | − | 0.170129i | \(-0.945581\pi\) |
0.345375 | − | 0.938465i | \(-0.387752\pi\) | |||||||
\(888\) | −41.4257 | − | 14.0547i | −1.39016 | − | 0.471646i | ||||
\(889\) | −1.29027 | − | 5.51387i | −0.0432743 | − | 0.184929i | ||||
\(890\) | −5.54071 | − | 0.606507i | −0.185725 | − | 0.0203302i | ||||
\(891\) | 10.8788 | − | 6.28089i | 0.364454 | − | 0.210418i | ||||
\(892\) | 25.6272 | − | 27.9731i | 0.858061 | − | 0.936610i | ||||
\(893\) | 0.761518 | − | 1.31899i | 0.0254832 | − | 0.0441383i | ||||
\(894\) | −4.92754 | − | 11.1971i | −0.164802 | − | 0.374486i | ||||
\(895\) | 21.1123 | 0.705706 | ||||||||
\(896\) | −0.291560 | + | 29.9318i | −0.00974032 | + | 0.999953i | ||||
\(897\) | −85.0171 | −2.83864 | ||||||||
\(898\) | 15.9515 | + | 36.2473i | 0.532309 | + | 1.20959i | ||||
\(899\) | −2.56993 | + | 4.45125i | −0.0857121 | + | 0.148458i | ||||
\(900\) | 8.32653 | − | 9.08876i | 0.277551 | − | 0.302959i | ||||
\(901\) | −7.41082 | + | 4.27864i | −0.246890 | + | 0.142542i | ||||
\(902\) | −12.5645 | − | 1.37536i | −0.418351 | − | 0.0457943i | ||||
\(903\) | −10.5943 | − | 3.20457i | −0.352557 | − | 0.106641i | ||||
\(904\) | −7.18369 | − | 2.43725i | −0.238926 | − | 0.0810617i | ||||
\(905\) | −3.05219 | − | 5.28655i | −0.101458 | − | 0.175731i | ||||
\(906\) | −22.8174 | − | 16.7285i | −0.758057 | − | 0.555768i | ||||
\(907\) | −0.307186 | − | 0.177354i | −0.0101999 | − | 0.00588894i | 0.494891 | − | 0.868955i | \(-0.335208\pi\) |
−0.505091 | + | 0.863066i | \(0.668541\pi\) | |||||||
\(908\) | −0.562183 | − | 1.78235i | −0.0186567 | − | 0.0591494i | ||||
\(909\) | 18.5229i | 0.614366i | ||||||||
\(910\) | −7.09371 | + | 16.6499i | −0.235154 | + | 0.551940i | ||||
\(911\) | − | 12.2958i | − | 0.407379i | −0.979036 | − | 0.203690i | \(-0.934707\pi\) | ||
0.979036 | − | 0.203690i | \(-0.0652934\pi\) | |||||||
\(912\) | 1.50458 | + | 17.1553i | 0.0498216 | + | 0.568067i | ||||
\(913\) | 16.3810 | + | 9.45758i | 0.542132 | + | 0.313000i | ||||
\(914\) | 16.8823 | − | 23.0271i | 0.558415 | − | 0.761668i | ||||
\(915\) | 14.5252 | + | 25.1584i | 0.480189 | + | 0.831712i | ||||
\(916\) | 5.65967 | − | 25.5420i | 0.187001 | − | 0.843932i | ||||
\(917\) | −17.4964 | − | 18.6510i | −0.577783 | − | 0.615912i | ||||
\(918\) | −3.75040 | + | 34.2616i | −0.123782 | + | 1.13080i | ||||
\(919\) | −0.243118 | + | 0.140364i | −0.00801973 | + | 0.00463019i | −0.504005 | − | 0.863701i | \(-0.668141\pi\) |
0.495985 | + | 0.868331i | \(0.334807\pi\) | |||||||
\(920\) | −12.3460 | + | 10.8306i | −0.407034 | + | 0.357075i | ||||
\(921\) | 7.38668 | − | 12.7941i | 0.243399 | − | 0.421580i | ||||
\(922\) | 0.165485 | − | 0.0728255i | 0.00544994 | − | 0.00239838i | ||||
\(923\) | 78.9760 | 2.59953 | ||||||||
\(924\) | 0.226409 | + | 19.1712i | 0.00744829 | + | 0.630685i | ||||
\(925\) | −5.10930 | −0.167993 | ||||||||
\(926\) | 23.1254 | − | 10.1769i | 0.759949 | − | 0.334434i | ||||
\(927\) | 1.17946 | − | 2.04289i | 0.0387387 | − | 0.0670974i | ||||
\(928\) | 3.83926 | − | 2.10762i | 0.126030 | − | 0.0691861i | ||||
\(929\) | 28.1316 | − | 16.2418i | 0.922967 | − | 0.532875i | 0.0383868 | − | 0.999263i | \(-0.487778\pi\) |
0.884580 | + | 0.466388i | \(0.154445\pi\) | |||||||
\(930\) | 3.09244 | − | 28.2508i | 0.101405 | − | 0.926379i | ||||
\(931\) | 8.28674 | + | 5.51800i | 0.271587 | + | 0.180845i | ||||
\(932\) | −30.4643 | − | 6.75036i | −0.997891 | − | 0.221115i | ||||
\(933\) | −18.0062 | − | 31.1877i | −0.589497 | − | 1.02104i | ||||
\(934\) | 12.2663 | − | 16.7311i | 0.401367 | − | 0.547457i | ||||
\(935\) | −2.63845 | − | 1.52331i | −0.0862865 | − | 0.0498175i | ||||
\(936\) | −82.6943 | + | 16.4627i | −2.70295 | + | 0.538100i | ||||
\(937\) | − | 59.7020i | − | 1.95038i | −0.221368 | − | 0.975190i | \(-0.571052\pi\) | ||
0.221368 | − | 0.975190i | \(-0.428948\pi\) | |||||||
\(938\) | 4.76095 | + | 39.2071i | 0.155450 | + | 1.28016i | ||||
\(939\) | 80.5424i | 2.62840i | ||||||||
\(940\) | 2.04252 | − | 0.644243i | 0.0666196 | − | 0.0210129i | ||||
\(941\) | 12.3373 | + | 7.12292i | 0.402183 | + | 0.232201i | 0.687426 | − | 0.726255i | \(-0.258741\pi\) |
−0.285242 | + | 0.958455i | \(0.592074\pi\) | |||||||
\(942\) | 53.8000 | + | 39.4434i | 1.75290 | + | 1.28514i | ||||
\(943\) | −21.6782 | − | 37.5477i | −0.705939 | − | 1.22272i | ||||
\(944\) | −35.8358 | − | 16.7012i | −1.16636 | − | 0.543578i | ||||
\(945\) | 18.4759 | − | 17.3322i | 0.601022 | − | 0.563816i | ||||
\(946\) | 2.32552 | + | 0.254560i | 0.0756092 | + | 0.00827647i | ||||
\(947\) | 26.0696 | − | 15.0513i | 0.847148 | − | 0.489101i | −0.0125394 | − | 0.999921i | \(-0.503992\pi\) |
0.859688 | + | 0.510820i | \(0.170658\pi\) | |||||||
\(948\) | 48.0722 | + | 44.0407i | 1.56131 | + | 1.43037i | ||||
\(949\) | −0.259040 | + | 0.448670i | −0.00840879 | + | 0.0145645i | ||||
\(950\) | 0.810175 | + | 1.84100i | 0.0262855 | + | 0.0597298i | ||||
\(951\) | −80.0831 | −2.59687 | ||||||||
\(952\) | −15.4931 | − | 11.0799i | −0.502135 | − | 0.359100i | ||||
\(953\) | 3.58515 | 0.116134 | 0.0580672 | − | 0.998313i | \(-0.481506\pi\) | ||||
0.0580672 | + | 0.998313i | \(0.481506\pi\) | |||||||
\(954\) | 11.8031 | + | 26.8207i | 0.382140 | + | 0.868353i | ||||
\(955\) | −1.85660 | + | 3.21572i | −0.0600780 | + | 0.104058i | ||||
\(956\) | 20.8415 | + | 19.0936i | 0.674061 | + | 0.617531i | ||||
\(957\) | 2.42942 | − | 1.40263i | 0.0785320 | − | 0.0453405i | ||||
\(958\) | −36.7640 | − | 4.02433i | −1.18779 | − | 0.130020i | ||||
\(959\) | −3.27521 | + | 10.8279i | −0.105762 | + | 0.349650i | ||||
\(960\) | −14.7359 | + | 19.2170i | −0.475600 | + | 0.620225i | ||||
\(961\) | −6.53585 | − | 11.3204i | −0.210834 | − | 0.365175i | ||||
\(962\) | 28.1863 | + | 20.6647i | 0.908761 | + | 0.666257i | ||||
\(963\) | −4.49662 | − | 2.59612i | −0.144902 | − | 0.0836589i | ||||
\(964\) | −41.1670 | + | 12.9848i | −1.32590 | + | 0.418211i | ||||
\(965\) | 15.3309i | 0.493519i | ||||||||
\(966\) | −52.5758 | + | 39.5089i | −1.69160 | + | 1.27118i | ||||
\(967\) | 46.1614i | 1.48445i | 0.670150 | + | 0.742226i | \(0.266230\pi\) | ||||
−0.670150 | + | 0.742226i | \(0.733770\pi\) | |||||||
\(968\) | 5.28347 | + | 26.5396i | 0.169817 | + | 0.853015i | ||||
\(969\) | −9.49011 | − | 5.47912i | −0.304866 | − | 0.176015i | ||||
\(970\) | −7.28634 | + | 9.93843i | −0.233950 | + | 0.319104i | ||||
\(971\) | −5.83113 | − | 10.0998i | −0.187130 | − | 0.324118i | 0.757162 | − | 0.653227i | \(-0.226585\pi\) |
−0.944292 | + | 0.329108i | \(0.893252\pi\) | |||||||
\(972\) | 5.94261 | + | 1.31678i | 0.190609 | + | 0.0422357i | ||||
\(973\) | −19.4176 | + | 4.54381i | −0.622499 | + | 0.145668i | ||||
\(974\) | −2.55828 | + | 23.3710i | −0.0819727 | + | 0.748856i | ||||
\(975\) | −12.6801 | + | 7.32084i | −0.406087 | + | 0.234455i | ||||
\(976\) | −22.0249 | − | 31.4406i | −0.705001 | − | 1.00639i | ||||
\(977\) | 21.2415 | − | 36.7913i | 0.679575 | − | 1.17706i | −0.295534 | − | 0.955332i | \(-0.595497\pi\) |
0.975109 | − | 0.221726i | \(-0.0711692\pi\) | |||||||
\(978\) | −37.7734 | + | 16.6231i | −1.20786 | + | 0.531548i | ||||
\(979\) | 4.71754 | 0.150773 | ||||||||
\(980\) | 3.35065 | + | 13.5931i | 0.107033 | + | 0.434217i | ||||
\(981\) | 24.3486 | 0.777390 | ||||||||
\(982\) | 28.3599 | − | 12.4805i | 0.905001 | − | 0.398267i | ||||
\(983\) | −15.8715 | + | 27.4903i | −0.506223 | + | 0.876804i | 0.493751 | + | 0.869603i | \(0.335625\pi\) |
−0.999974 | + | 0.00720094i | \(0.997708\pi\) | |||||||
\(984\) | −42.1597 | − | 48.0584i | −1.34400 | − | 1.53204i | ||||
\(985\) | −21.1832 | + | 12.2301i | −0.674952 | + | 0.389684i | ||||
\(986\) | −0.303257 | + | 2.77039i | −0.00965767 | + | 0.0882270i | ||||
\(987\) | 8.35075 | − | 1.95412i | 0.265807 | − | 0.0622002i | ||||
\(988\) | 2.97650 | − | 13.4329i | 0.0946951 | − | 0.427358i | ||||
\(989\) | 4.01235 | + | 6.94960i | 0.127585 | + | 0.220984i | ||||
\(990\) | −6.16847 | + | 8.41368i | −0.196047 | + | 0.267404i | ||||
\(991\) | −25.4182 | − | 14.6752i | −0.807436 | − | 0.466173i | 0.0386286 | − | 0.999254i | \(-0.487701\pi\) |
−0.846065 | + | 0.533080i | \(0.821034\pi\) | |||||||
\(992\) | −0.809215 | + | 37.5452i | −0.0256926 | + | 1.19206i | ||||
\(993\) | − | 73.5053i | − | 2.33262i | ||||||
\(994\) | 48.8399 | − | 36.7015i | 1.54911 | − | 1.16410i | ||||
\(995\) | 12.8662i | 0.407886i | ||||||||
\(996\) | 28.7788 | + | 91.2407i | 0.911891 | + | 2.89107i | ||||
\(997\) | 9.35899 | + | 5.40341i | 0.296402 | + | 0.171128i | 0.640825 | − | 0.767687i | \(-0.278592\pi\) |
−0.344423 | + | 0.938814i | \(0.611926\pi\) | |||||||
\(998\) | 46.4070 | + | 34.0232i | 1.46899 | + | 1.07699i | ||||
\(999\) | −24.4608 | − | 42.3673i | −0.773905 | − | 1.34044i |
(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 | 140.2.o.a.31.10 | ✓ | 32 | |
4.3 | odd | 2 | inner | 140.2.o.a.31.11 | yes | 32 | |
5.2 | odd | 4 | 700.2.t.d.199.3 | 32 | |||
5.3 | odd | 4 | 700.2.t.c.199.14 | 32 | |||
5.4 | even | 2 | 700.2.p.c.451.7 | 32 | |||
7.2 | even | 3 | 980.2.o.f.411.11 | 32 | |||
7.3 | odd | 6 | 980.2.g.a.391.1 | 32 | |||
7.4 | even | 3 | 980.2.g.a.391.2 | 32 | |||
7.5 | odd | 6 | inner | 140.2.o.a.131.11 | yes | 32 | |
7.6 | odd | 2 | 980.2.o.f.31.10 | 32 | |||
20.3 | even | 4 | 700.2.t.c.199.13 | 32 | |||
20.7 | even | 4 | 700.2.t.d.199.4 | 32 | |||
20.19 | odd | 2 | 700.2.p.c.451.6 | 32 | |||
28.3 | even | 6 | 980.2.g.a.391.4 | 32 | |||
28.11 | odd | 6 | 980.2.g.a.391.3 | 32 | |||
28.19 | even | 6 | inner | 140.2.o.a.131.10 | yes | 32 | |
28.23 | odd | 6 | 980.2.o.f.411.10 | 32 | |||
28.27 | even | 2 | 980.2.o.f.31.11 | 32 | |||
35.12 | even | 12 | 700.2.t.c.299.13 | 32 | |||
35.19 | odd | 6 | 700.2.p.c.551.6 | 32 | |||
35.33 | even | 12 | 700.2.t.d.299.4 | 32 | |||
140.19 | even | 6 | 700.2.p.c.551.7 | 32 | |||
140.47 | odd | 12 | 700.2.t.c.299.14 | 32 | |||
140.103 | odd | 12 | 700.2.t.d.299.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.o.a.31.10 | ✓ | 32 | 1.1 | even | 1 | trivial | |
140.2.o.a.31.11 | yes | 32 | 4.3 | odd | 2 | inner | |
140.2.o.a.131.10 | yes | 32 | 28.19 | even | 6 | inner | |
140.2.o.a.131.11 | yes | 32 | 7.5 | odd | 6 | inner | |
700.2.p.c.451.6 | 32 | 20.19 | odd | 2 | |||
700.2.p.c.451.7 | 32 | 5.4 | even | 2 | |||
700.2.p.c.551.6 | 32 | 35.19 | odd | 6 | |||
700.2.p.c.551.7 | 32 | 140.19 | even | 6 | |||
700.2.t.c.199.13 | 32 | 20.3 | even | 4 | |||
700.2.t.c.199.14 | 32 | 5.3 | odd | 4 | |||
700.2.t.c.299.13 | 32 | 35.12 | even | 12 | |||
700.2.t.c.299.14 | 32 | 140.47 | odd | 12 | |||
700.2.t.d.199.3 | 32 | 5.2 | odd | 4 | |||
700.2.t.d.199.4 | 32 | 20.7 | even | 4 | |||
700.2.t.d.299.3 | 32 | 140.103 | odd | 12 | |||
700.2.t.d.299.4 | 32 | 35.33 | even | 12 | |||
980.2.g.a.391.1 | 32 | 7.3 | odd | 6 | |||
980.2.g.a.391.2 | 32 | 7.4 | even | 3 | |||
980.2.g.a.391.3 | 32 | 28.11 | odd | 6 | |||
980.2.g.a.391.4 | 32 | 28.3 | even | 6 | |||
980.2.o.f.31.10 | 32 | 7.6 | odd | 2 | |||
980.2.o.f.31.11 | 32 | 28.27 | even | 2 | |||
980.2.o.f.411.10 | 32 | 28.23 | odd | 6 | |||
980.2.o.f.411.11 | 32 | 7.2 | even | 3 |