Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(59,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.u (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.40 | ||
Character | \(\chi\) | \(=\) | 315.59 |
Dual form | 315.2.u.a.299.40 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14897 | − | 1.99008i | 0.812447 | − | 1.40720i | −0.0986993 | − | 0.995117i | \(-0.531468\pi\) |
0.911147 | − | 0.412083i | \(-0.135198\pi\) | |||||||
\(3\) | 1.60485 | − | 0.651500i | 0.926561 | − | 0.376144i | ||||
\(4\) | −1.64028 | − | 2.84105i | −0.820141 | − | 1.42053i | ||||
\(5\) | 1.90726 | + | 1.16720i | 0.852954 | + | 0.521986i | ||||
\(6\) | 0.547395 | − | 3.94234i | 0.223473 | − | 1.60945i | ||||
\(7\) | −2.44187 | − | 1.01847i | −0.922940 | − | 0.384945i | ||||
\(8\) | −2.94267 | −1.04039 | ||||||||
\(9\) | 2.15110 | − | 2.09112i | 0.717032 | − | 0.697040i | ||||
\(10\) | 4.51421 | − | 2.45453i | 1.42752 | − | 0.776191i | ||||
\(11\) | 5.03602i | 1.51842i | 0.650848 | + | 0.759208i | \(0.274413\pi\) | ||||
−0.650848 | + | 0.759208i | \(0.725587\pi\) | |||||||
\(12\) | −4.48335 | − | 3.49082i | −1.29423 | − | 1.00771i | ||||
\(13\) | −1.81474 | + | 3.14323i | −0.503320 | + | 0.871775i | 0.496673 | + | 0.867938i | \(0.334555\pi\) |
−0.999993 | + | 0.00383730i | \(0.998779\pi\) | |||||||
\(14\) | −4.83248 | + | 3.68932i | −1.29153 | + | 0.986013i | ||||
\(15\) | 3.82130 | + | 0.630595i | 0.986656 | + | 0.162819i | ||||
\(16\) | −0.100486 | + | 0.174046i | −0.0251214 | + | 0.0435115i | ||||
\(17\) | −5.20593 | − | 3.00564i | −1.26262 | − | 0.728976i | −0.289042 | − | 0.957316i | \(-0.593337\pi\) |
−0.973581 | + | 0.228340i | \(0.926670\pi\) | |||||||
\(18\) | −1.68995 | − | 6.68350i | −0.398324 | − | 1.57532i | ||||
\(19\) | −2.26155 | + | 1.30571i | −0.518836 | + | 0.299550i | −0.736458 | − | 0.676483i | \(-0.763503\pi\) |
0.217622 | + | 0.976033i | \(0.430170\pi\) | |||||||
\(20\) | 0.187615 | − | 7.33316i | 0.0419521 | − | 1.63975i | ||||
\(21\) | −4.58237 | − | 0.0436146i | −0.999955 | − | 0.00951749i | ||||
\(22\) | 10.0221 | + | 5.78625i | 2.13671 | + | 1.23363i | ||||
\(23\) | 2.67708 | 0.558210 | 0.279105 | − | 0.960261i | \(-0.409962\pi\) | ||||
0.279105 | + | 0.960261i | \(0.409962\pi\) | |||||||
\(24\) | −4.72255 | + | 1.91715i | −0.963986 | + | 0.391336i | ||||
\(25\) | 2.27531 | + | 4.45230i | 0.455061 | + | 0.890460i | ||||
\(26\) | 4.17019 | + | 7.22298i | 0.817841 | + | 1.41654i | ||||
\(27\) | 2.08983 | − | 4.75738i | 0.402187 | − | 0.915557i | ||||
\(28\) | 1.11183 | + | 8.60805i | 0.210116 | + | 1.62677i | ||||
\(29\) | −1.65943 | + | 0.958073i | −0.308149 | + | 0.177910i | −0.646098 | − | 0.763255i | \(-0.723600\pi\) |
0.337949 | + | 0.941164i | \(0.390267\pi\) | |||||||
\(30\) | 5.64551 | − | 6.88016i | 1.03072 | − | 1.25614i | ||||
\(31\) | −1.26456 | + | 0.730091i | −0.227121 | + | 0.131128i | −0.609243 | − | 0.792983i | \(-0.708527\pi\) |
0.382122 | + | 0.924112i | \(0.375193\pi\) | |||||||
\(32\) | −2.71176 | − | 4.69690i | −0.479376 | − | 0.830303i | ||||
\(33\) | 3.28096 | + | 8.08206i | 0.571142 | + | 1.40691i | ||||
\(34\) | −11.9630 | + | 6.90681i | −2.05163 | + | 1.18451i | ||||
\(35\) | −3.46853 | − | 4.79263i | −0.586289 | − | 0.810102i | ||||
\(36\) | −9.46939 | − | 2.68135i | −1.57823 | − | 0.446891i | ||||
\(37\) | 3.39771 | − | 1.96167i | 0.558579 | − | 0.322496i | −0.193996 | − | 0.981002i | \(-0.562145\pi\) |
0.752575 | + | 0.658506i | \(0.228811\pi\) | |||||||
\(38\) | 6.00090i | 0.973474i | ||||||||
\(39\) | −0.864582 | + | 6.22672i | −0.138444 | + | 0.997073i | ||||
\(40\) | −5.61244 | − | 3.43467i | −0.887405 | − | 0.543069i | ||||
\(41\) | 0.294240 | − | 0.509638i | 0.0459525 | − | 0.0795921i | −0.842134 | − | 0.539268i | \(-0.818701\pi\) |
0.888087 | + | 0.459676i | \(0.152034\pi\) | |||||||
\(42\) | −5.35182 | + | 9.06917i | −0.825803 | + | 1.39940i | ||||
\(43\) | −4.96969 | + | 2.86925i | −0.757871 | + | 0.437557i | −0.828531 | − | 0.559943i | \(-0.810823\pi\) |
0.0706596 | + | 0.997500i | \(0.477490\pi\) | |||||||
\(44\) | 14.3076 | − | 8.26049i | 2.15695 | − | 1.24532i | ||||
\(45\) | 6.54345 | − | 1.47757i | 0.975441 | − | 0.220262i | ||||
\(46\) | 3.07590 | − | 5.32761i | 0.453516 | − | 0.785513i | ||||
\(47\) | −3.99224 | − | 2.30492i | −0.582328 | − | 0.336207i | 0.179730 | − | 0.983716i | \(-0.442478\pi\) |
−0.762058 | + | 0.647509i | \(0.775811\pi\) | |||||||
\(48\) | −0.0478734 | + | 0.344784i | −0.00690993 | + | 0.0497653i | ||||
\(49\) | 4.92544 | + | 4.97393i | 0.703635 | + | 0.710562i | ||||
\(50\) | 11.4747 | + | 0.587534i | 1.62277 | + | 0.0830899i | ||||
\(51\) | −10.3129 | − | 1.43195i | −1.44410 | − | 0.200513i | ||||
\(52\) | 11.9068 | 1.65117 | ||||||||
\(53\) | 5.84795 | − | 10.1290i | 0.803278 | − | 1.39132i | −0.114169 | − | 0.993461i | \(-0.536420\pi\) |
0.917447 | − | 0.397858i | \(-0.130246\pi\) | |||||||
\(54\) | −7.06641 | − | 9.62502i | −0.961616 | − | 1.30980i | ||||
\(55\) | −5.87802 | + | 9.60501i | −0.792592 | + | 1.29514i | ||||
\(56\) | 7.18561 | + | 2.99702i | 0.960217 | + | 0.400493i | ||||
\(57\) | −2.77879 | + | 3.56887i | −0.368059 | + | 0.472708i | ||||
\(58\) | 4.40321i | 0.578169i | ||||||||
\(59\) | 1.45473 | + | 2.51967i | 0.189390 | + | 0.328033i | 0.945047 | − | 0.326934i | \(-0.106016\pi\) |
−0.755657 | + | 0.654968i | \(0.772682\pi\) | |||||||
\(60\) | −4.47646 | − | 11.8909i | −0.577908 | − | 1.53510i | ||||
\(61\) | 11.3034 | + | 6.52604i | 1.44726 | + | 0.835573i | 0.998317 | − | 0.0579897i | \(-0.0184691\pi\) |
0.448938 | + | 0.893563i | \(0.351802\pi\) | |||||||
\(62\) | 3.35542i | 0.426139i | ||||||||
\(63\) | −7.38244 | + | 2.91542i | −0.930099 | + | 0.367308i | ||||
\(64\) | −12.8649 | −1.60811 | ||||||||
\(65\) | −7.12996 | + | 3.87680i | −0.884363 | + | 0.480858i | ||||
\(66\) | 19.8537 | + | 2.75669i | 2.44382 | + | 0.339325i | ||||
\(67\) | 4.12346 | − | 2.38068i | 0.503761 | − | 0.290846i | −0.226505 | − | 0.974010i | \(-0.572730\pi\) |
0.730265 | + | 0.683164i | \(0.239397\pi\) | |||||||
\(68\) | 19.7204i | 2.39145i | ||||||||
\(69\) | 4.29632 | − | 1.74412i | 0.517216 | − | 0.209967i | ||||
\(70\) | −13.5230 | + | 1.39606i | −1.61630 | + | 0.166861i | ||||
\(71\) | − | 12.6849i | − | 1.50543i | −0.658349 | − | 0.752713i | \(-0.728745\pi\) | ||
0.658349 | − | 0.752713i | \(-0.271255\pi\) | |||||||
\(72\) | −6.32996 | + | 6.15347i | −0.745993 | + | 0.725194i | ||||
\(73\) | 2.88859 | − | 5.00318i | 0.338083 | − | 0.585578i | −0.645989 | − | 0.763347i | \(-0.723555\pi\) |
0.984072 | + | 0.177769i | \(0.0568881\pi\) | |||||||
\(74\) | − | 9.01562i | − | 1.04804i | ||||||
\(75\) | 6.55220 | + | 5.66292i | 0.756583 | + | 0.653898i | ||||
\(76\) | 7.41917 | + | 4.28346i | 0.851037 | + | 0.491346i | ||||
\(77\) | 5.12902 | − | 12.2973i | 0.584507 | − | 1.40141i | ||||
\(78\) | 11.3983 | + | 8.87493i | 1.29060 | + | 1.00489i | ||||
\(79\) | −0.0764572 | + | 0.132428i | −0.00860211 | + | 0.0148993i | −0.870294 | − | 0.492532i | \(-0.836072\pi\) |
0.861692 | + | 0.507431i | \(0.169405\pi\) | |||||||
\(80\) | −0.394798 | + | 0.214665i | −0.0441398 | + | 0.0240003i | ||||
\(81\) | 0.254431 | − | 8.99640i | 0.0282701 | − | 0.999600i | ||||
\(82\) | −0.676147 | − | 1.17112i | −0.0746680 | − | 0.129329i | ||||
\(83\) | −2.74097 | + | 1.58250i | −0.300860 | + | 0.173702i | −0.642829 | − | 0.766009i | \(-0.722240\pi\) |
0.341969 | + | 0.939711i | \(0.388906\pi\) | |||||||
\(84\) | 7.39246 | + | 13.0903i | 0.806584 | + | 1.42827i | ||||
\(85\) | −6.42090 | − | 11.8089i | −0.696444 | − | 1.28085i | ||||
\(86\) | 13.1868i | 1.42197i | ||||||||
\(87\) | −2.03896 | + | 2.61868i | −0.218599 | + | 0.280752i | ||||
\(88\) | − | 14.8193i | − | 1.57975i | ||||||
\(89\) | −2.51793 | − | 4.36117i | −0.266900 | − | 0.462284i | 0.701160 | − | 0.713004i | \(-0.252666\pi\) |
−0.968060 | + | 0.250720i | \(0.919333\pi\) | |||||||
\(90\) | 4.57778 | − | 14.7197i | 0.482541 | − | 1.55159i | ||||
\(91\) | 7.63265 | − | 5.82709i | 0.800119 | − | 0.610845i | ||||
\(92\) | −4.39117 | − | 7.60573i | −0.457811 | − | 0.792952i | ||||
\(93\) | −1.55377 | + | 1.99555i | −0.161118 | + | 0.206928i | ||||
\(94\) | −9.17396 | + | 5.29659i | −0.946222 | + | 0.546302i | ||||
\(95\) | −5.83739 | − | 0.149347i | −0.598904 | − | 0.0153227i | ||||
\(96\) | −7.41200 | − | 5.77112i | −0.756484 | − | 0.589013i | ||||
\(97\) | 4.18757 | + | 7.25308i | 0.425183 | + | 0.736438i | 0.996437 | − | 0.0843346i | \(-0.0268765\pi\) |
−0.571255 | + | 0.820773i | \(0.693543\pi\) | |||||||
\(98\) | 15.5577 | − | 4.08711i | 1.57157 | − | 0.412861i | ||||
\(99\) | 10.5309 | + | 10.8330i | 1.05840 | + | 1.08875i | ||||
\(100\) | 8.91707 | − | 13.7673i | 0.891707 | − | 1.37673i | ||||
\(101\) | −6.88920 | −0.685501 | −0.342751 | − | 0.939426i | \(-0.611359\pi\) | ||||
−0.342751 | + | 0.939426i | \(0.611359\pi\) | |||||||
\(102\) | −14.6990 | + | 18.8783i | −1.45542 | + | 1.86923i | ||||
\(103\) | −15.7537 | −1.55226 | −0.776131 | − | 0.630572i | \(-0.782821\pi\) | ||||
−0.776131 | + | 0.630572i | \(0.782821\pi\) | |||||||
\(104\) | 5.34019 | − | 9.24948i | 0.523649 | − | 0.906986i | ||||
\(105\) | −8.68888 | − | 5.43171i | −0.847947 | − | 0.530080i | ||||
\(106\) | −13.4383 | − | 23.2758i | −1.30524 | − | 2.26075i | ||||
\(107\) | 6.46598 | + | 11.1994i | 0.625090 | + | 1.08269i | 0.988524 | + | 0.151067i | \(0.0482710\pi\) |
−0.363434 | + | 0.931620i | \(0.618396\pi\) | |||||||
\(108\) | −16.9439 | + | 1.86613i | −1.63042 | + | 0.179569i | ||||
\(109\) | 8.39688 | − | 14.5438i | 0.804276 | − | 1.39305i | −0.112503 | − | 0.993651i | \(-0.535887\pi\) |
0.916779 | − | 0.399395i | \(-0.130780\pi\) | |||||||
\(110\) | 12.3611 | + | 22.7336i | 1.17858 | + | 2.16757i | ||||
\(111\) | 4.17479 | − | 5.36179i | 0.396253 | − | 0.508918i | ||||
\(112\) | 0.422633 | − | 0.322656i | 0.0399351 | − | 0.0304881i | ||||
\(113\) | −4.83169 | + | 8.36874i | −0.454528 | + | 0.787265i | −0.998661 | − | 0.0517339i | \(-0.983525\pi\) |
0.544133 | + | 0.838999i | \(0.316859\pi\) | |||||||
\(114\) | 3.90958 | + | 9.63055i | 0.366166 | + | 0.901984i | ||||
\(115\) | 5.10590 | + | 3.12468i | 0.476128 | + | 0.291378i | ||||
\(116\) | 5.44387 | + | 3.14302i | 0.505451 | + | 0.291822i | ||||
\(117\) | 2.66918 | + | 10.5562i | 0.246766 | + | 0.975925i | ||||
\(118\) | 6.68580 | 0.615478 | ||||||||
\(119\) | 9.65104 | + | 12.6415i | 0.884709 | + | 1.15884i | ||||
\(120\) | −11.2448 | − | 1.85563i | −1.02651 | − | 0.169395i | ||||
\(121\) | −14.3615 | −1.30559 | ||||||||
\(122\) | 25.9747 | − | 14.9965i | 2.35164 | − | 1.35772i | ||||
\(123\) | 0.140182 | − | 1.00959i | 0.0126398 | − | 0.0910317i | ||||
\(124\) | 4.14845 | + | 2.39511i | 0.372542 | + | 0.215087i | ||||
\(125\) | −0.857102 | + | 11.1474i | −0.0766615 | + | 0.997057i | ||||
\(126\) | −2.68031 | + | 18.0414i | −0.238781 | + | 1.60725i | ||||
\(127\) | 11.0818i | 0.983347i | 0.870780 | + | 0.491674i | \(0.163615\pi\) | ||||
−0.870780 | + | 0.491674i | \(0.836385\pi\) | |||||||
\(128\) | −9.35792 | + | 16.2084i | −0.827131 | + | 1.43263i | ||||
\(129\) | −6.10630 | + | 7.84248i | −0.537630 | + | 0.690492i | ||||
\(130\) | −0.476986 | + | 18.6435i | −0.0418344 | + | 1.63515i | ||||
\(131\) | −11.4882 | −1.00373 | −0.501864 | − | 0.864947i | \(-0.667352\pi\) | ||||
−0.501864 | + | 0.864947i | \(0.667352\pi\) | |||||||
\(132\) | 17.5798 | − | 22.5782i | 1.53013 | − | 1.96518i | ||||
\(133\) | 6.85224 | − | 0.885046i | 0.594164 | − | 0.0767433i | ||||
\(134\) | − | 10.9414i | − | 0.945189i | ||||||
\(135\) | 9.53864 | − | 6.63433i | 0.820955 | − | 0.570992i | ||||
\(136\) | 15.3193 | + | 8.84462i | 1.31362 | + | 0.758420i | ||||
\(137\) | 5.72424 | 0.489055 | 0.244527 | − | 0.969642i | \(-0.421367\pi\) | ||||
0.244527 | + | 0.969642i | \(0.421367\pi\) | |||||||
\(138\) | 1.46542 | − | 10.5540i | 0.124745 | − | 0.898414i | ||||
\(139\) | 5.25854 | + | 3.03602i | 0.446024 | + | 0.257512i | 0.706149 | − | 0.708063i | \(-0.250431\pi\) |
−0.260126 | + | 0.965575i | \(0.583764\pi\) | |||||||
\(140\) | −7.92673 | + | 17.7155i | −0.669931 | + | 1.49724i | ||||
\(141\) | −7.90861 | − | 1.09811i | −0.666025 | − | 0.0924778i | ||||
\(142\) | −25.2441 | − | 14.5747i | −2.11844 | − | 1.22308i | ||||
\(143\) | −15.8294 | − | 9.13908i | −1.32372 | − | 0.764248i | ||||
\(144\) | 0.147797 | + | 0.584517i | 0.0123164 | + | 0.0487098i | ||||
\(145\) | −4.28323 | − | 0.109584i | −0.355703 | − | 0.00910049i | ||||
\(146\) | −6.63782 | − | 11.4970i | −0.549350 | − | 0.951502i | ||||
\(147\) | 11.1451 | + | 4.77350i | 0.919234 | + | 0.393712i | ||||
\(148\) | −11.1464 | − | 6.43537i | −0.916228 | − | 0.528984i | ||||
\(149\) | − | 15.9572i | − | 1.30726i | −0.756813 | − | 0.653631i | \(-0.773245\pi\) | ||
0.756813 | − | 0.653631i | \(-0.226755\pi\) | |||||||
\(150\) | 18.7980 | − | 6.53286i | 1.53485 | − | 0.533406i | ||||
\(151\) | −14.5418 | −1.18340 | −0.591698 | − | 0.806160i | \(-0.701542\pi\) | ||||
−0.591698 | + | 0.806160i | \(0.701542\pi\) | |||||||
\(152\) | 6.65500 | − | 3.84227i | 0.539792 | − | 0.311649i | ||||
\(153\) | −17.4836 | + | 4.42079i | −1.41347 | + | 0.357400i | ||||
\(154\) | −18.5795 | − | 24.3364i | −1.49718 | − | 1.96109i | ||||
\(155\) | −3.26400 | − | 0.0835078i | −0.262171 | − | 0.00670751i | ||||
\(156\) | 19.1086 | − | 7.75726i | 1.52991 | − | 0.621078i | ||||
\(157\) | 0.533570 | + | 0.924171i | 0.0425835 | + | 0.0737569i | 0.886532 | − | 0.462668i | \(-0.153108\pi\) |
−0.843948 | + | 0.536425i | \(0.819774\pi\) | |||||||
\(158\) | 0.175695 | + | 0.304312i | 0.0139775 | + | 0.0242098i | ||||
\(159\) | 2.78609 | − | 20.0654i | 0.220951 | − | 1.59129i | ||||
\(160\) | 0.310171 | − | 12.1234i | 0.0245212 | − | 0.958438i | ||||
\(161\) | −6.53708 | − | 2.72652i | −0.515194 | − | 0.214880i | ||||
\(162\) | −17.6112 | − | 10.8430i | −1.38367 | − | 0.851904i | ||||
\(163\) | 2.51831 | − | 1.45395i | 0.197249 | − | 0.113882i | −0.398123 | − | 0.917332i | \(-0.630338\pi\) |
0.595372 | + | 0.803450i | \(0.297005\pi\) | |||||||
\(164\) | −1.93054 | −0.150750 | ||||||||
\(165\) | −3.17569 | + | 19.2441i | −0.247227 | + | 1.49815i | ||||
\(166\) | 7.27300i | 0.564494i | ||||||||
\(167\) | −21.4761 | − | 12.3993i | −1.66187 | − | 0.959483i | −0.971820 | − | 0.235724i | \(-0.924254\pi\) |
−0.690053 | − | 0.723759i | \(-0.742413\pi\) | |||||||
\(168\) | 13.4844 | + | 0.128343i | 1.04034 | + | 0.00990191i | ||||
\(169\) | −0.0865940 | − | 0.149985i | −0.00666108 | − | 0.0115373i | ||||
\(170\) | −30.8781 | − | 0.790001i | −2.36824 | − | 0.0605903i | ||||
\(171\) | −2.13443 | + | 7.53788i | −0.163224 | + | 0.576436i | ||||
\(172\) | 16.3034 | + | 9.41277i | 1.24312 | + | 0.717717i | ||||
\(173\) | 2.95023 | + | 1.70332i | 0.224302 | + | 0.129501i | 0.607941 | − | 0.793982i | \(-0.291996\pi\) |
−0.383639 | + | 0.923483i | \(0.625329\pi\) | |||||||
\(174\) | 2.86869 | + | 7.06649i | 0.217475 | + | 0.535709i | ||||
\(175\) | −1.02147 | − | 13.1893i | −0.0772157 | − | 0.997014i | ||||
\(176\) | −0.876499 | − | 0.506047i | −0.0660686 | − | 0.0381447i | ||||
\(177\) | 3.97619 | + | 3.09594i | 0.298869 | + | 0.232705i | ||||
\(178\) | −11.5721 | −0.867367 | ||||||||
\(179\) | 0.604912 | + | 0.349246i | 0.0452133 | + | 0.0261039i | 0.522436 | − | 0.852678i | \(-0.325023\pi\) |
−0.477223 | + | 0.878782i | \(0.658357\pi\) | |||||||
\(180\) | −14.9309 | − | 16.1667i | −1.11289 | − | 1.20499i | ||||
\(181\) | 17.8235i | 1.32481i | 0.749147 | + | 0.662403i | \(0.230463\pi\) | ||||
−0.749147 | + | 0.662403i | \(0.769537\pi\) | |||||||
\(182\) | −2.82667 | − | 21.8848i | −0.209527 | − | 1.62221i | ||||
\(183\) | 22.3920 | + | 3.10914i | 1.65527 | + | 0.229834i | ||||
\(184\) | −7.87777 | −0.580757 | ||||||||
\(185\) | 8.76997 | + | 0.224375i | 0.644781 | + | 0.0164964i | ||||
\(186\) | 2.18606 | + | 5.38496i | 0.160289 | + | 0.394844i | ||||
\(187\) | 15.1365 | − | 26.2171i | 1.10689 | − | 1.91719i | ||||
\(188\) | 15.1229i | 1.10295i | ||||||||
\(189\) | −9.94832 | + | 9.48846i | −0.723634 | + | 0.690184i | ||||
\(190\) | −7.00423 | + | 11.4453i | −0.508140 | + | 0.830329i | ||||
\(191\) | −10.5465 | − | 6.08905i | −0.763121 | − | 0.440588i | 0.0672944 | − | 0.997733i | \(-0.478563\pi\) |
−0.830415 | + | 0.557145i | \(0.811897\pi\) | |||||||
\(192\) | −20.6463 | + | 8.38148i | −1.49001 | + | 0.604881i | ||||
\(193\) | −0.669444 | + | 0.386504i | −0.0481877 | + | 0.0278212i | −0.523900 | − | 0.851780i | \(-0.675524\pi\) |
0.475713 | + | 0.879601i | \(0.342190\pi\) | |||||||
\(194\) | 19.2456 | 1.38175 | ||||||||
\(195\) | −8.91679 | + | 10.8669i | −0.638545 | + | 0.778192i | ||||
\(196\) | 6.05209 | − | 22.1521i | 0.432292 | − | 1.58229i | ||||
\(197\) | −0.319064 | −0.0227323 | −0.0113662 | − | 0.999935i | \(-0.503618\pi\) | ||||
−0.0113662 | + | 0.999935i | \(0.503618\pi\) | |||||||
\(198\) | 33.6582 | − | 8.51059i | 2.39198 | − | 0.604822i | ||||
\(199\) | 7.49062 | + | 4.32471i | 0.530996 | + | 0.306571i | 0.741422 | − | 0.671039i | \(-0.234152\pi\) |
−0.210426 | + | 0.977610i | \(0.567485\pi\) | |||||||
\(200\) | −6.69547 | − | 13.1016i | −0.473441 | − | 0.926426i | ||||
\(201\) | 5.06652 | − | 6.50707i | 0.357365 | − | 0.458973i | ||||
\(202\) | −7.91551 | + | 13.7101i | −0.556933 | + | 0.964637i | ||||
\(203\) | 5.02788 | − | 0.649410i | 0.352888 | − | 0.0455796i | ||||
\(204\) | 12.8478 | + | 31.6483i | 0.899529 | + | 2.21583i | ||||
\(205\) | 1.15604 | − | 0.628578i | 0.0807413 | − | 0.0439018i | ||||
\(206\) | −18.1006 | + | 31.3512i | −1.26113 | + | 2.18434i | ||||
\(207\) | 5.75866 | − | 5.59810i | 0.400255 | − | 0.389095i | ||||
\(208\) | −0.364711 | − | 0.631698i | −0.0252882 | − | 0.0438004i | ||||
\(209\) | −6.57557 | − | 11.3892i | −0.454841 | − | 0.787808i | ||||
\(210\) | −20.7928 | + | 11.0507i | −1.43484 | + | 0.762569i | ||||
\(211\) | −9.40901 | + | 16.2969i | −0.647743 | + | 1.12192i | 0.335918 | + | 0.941891i | \(0.390954\pi\) |
−0.983661 | + | 0.180032i | \(0.942380\pi\) | |||||||
\(212\) | −38.3692 | −2.63521 | ||||||||
\(213\) | −8.26424 | − | 20.3575i | −0.566256 | − | 1.39487i | ||||
\(214\) | 29.7170 | 2.03141 | ||||||||
\(215\) | −12.8275 | − | 0.328185i | −0.874828 | − | 0.0223821i | ||||
\(216\) | −6.14967 | + | 13.9994i | −0.418432 | + | 0.952537i | ||||
\(217\) | 3.83145 | − | 0.494877i | 0.260096 | − | 0.0335944i | ||||
\(218\) | −19.2956 | − | 33.4210i | −1.30686 | − | 2.26355i | ||||
\(219\) | 1.37618 | − | 9.91127i | 0.0929938 | − | 0.669741i | ||||
\(220\) | 36.9299 | + | 0.944834i | 2.48982 | + | 0.0637007i | ||||
\(221\) | 18.8949 | − | 10.9090i | 1.27101 | − | 0.733816i | ||||
\(222\) | −5.87367 | − | 14.4687i | −0.394215 | − | 0.971077i | ||||
\(223\) | 9.51294 | + | 16.4769i | 0.637034 | + | 1.10338i | 0.986080 | + | 0.166270i | \(0.0531722\pi\) |
−0.349046 | + | 0.937105i | \(0.613494\pi\) | |||||||
\(224\) | 1.83811 | + | 14.2311i | 0.122814 | + | 0.950853i | ||||
\(225\) | 14.2047 | + | 4.81939i | 0.946980 | + | 0.321293i | ||||
\(226\) | 11.1030 | + | 19.2309i | 0.738559 | + | 1.27922i | ||||
\(227\) | 12.3792i | 0.821639i | 0.911717 | + | 0.410819i | \(0.134757\pi\) | ||||
−0.911717 | + | 0.410819i | \(0.865243\pi\) | |||||||
\(228\) | 14.6973 | + | 2.04073i | 0.973355 | + | 0.135151i | ||||
\(229\) | − | 1.13488i | − | 0.0749953i | −0.999297 | − | 0.0374976i | \(-0.988061\pi\) | ||
0.999297 | − | 0.0374976i | \(-0.0119387\pi\) | |||||||
\(230\) | 12.0849 | − | 6.57098i | 0.796856 | − | 0.433278i | ||||
\(231\) | 0.219644 | − | 23.0769i | 0.0144515 | − | 1.51835i | ||||
\(232\) | 4.88316 | − | 2.81929i | 0.320595 | − | 0.185096i | ||||
\(233\) | −1.96907 | − | 3.41053i | −0.128998 | − | 0.223431i | 0.794291 | − | 0.607538i | \(-0.207843\pi\) |
−0.923289 | + | 0.384107i | \(0.874509\pi\) | |||||||
\(234\) | 24.0746 | + | 6.81696i | 1.57381 | + | 0.445638i | ||||
\(235\) | −4.92396 | − | 9.05582i | −0.321204 | − | 0.590737i | ||||
\(236\) | 4.77234 | − | 8.26594i | 0.310653 | − | 0.538067i | ||||
\(237\) | −0.0364258 | + | 0.262339i | −0.00236611 | + | 0.0170407i | ||||
\(238\) | 36.2463 | − | 4.68164i | 2.34950 | − | 0.303466i | ||||
\(239\) | 2.56257 | + | 1.47950i | 0.165759 | + | 0.0957008i | 0.580584 | − | 0.814200i | \(-0.302824\pi\) |
−0.414826 | + | 0.909901i | \(0.636157\pi\) | |||||||
\(240\) | −0.493738 | + | 0.601717i | −0.0318707 | + | 0.0388407i | ||||
\(241\) | − | 12.2190i | − | 0.787097i | −0.919304 | − | 0.393548i | \(-0.871247\pi\) | ||
0.919304 | − | 0.393548i | \(-0.128753\pi\) | |||||||
\(242\) | −16.5009 | + | 28.5805i | −1.06072 | + | 1.83722i | ||||
\(243\) | −5.45283 | − | 14.6037i | −0.349799 | − | 0.936825i | ||||
\(244\) | − | 42.8181i | − | 2.74115i | ||||||
\(245\) | 3.58856 | + | 15.2356i | 0.229265 | + | 0.973364i | ||||
\(246\) | −1.84810 | − | 1.43897i | −0.117831 | − | 0.0917451i | ||||
\(247\) | − | 9.47811i | − | 0.603077i | ||||||
\(248\) | 3.72117 | − | 2.14842i | 0.236294 | − | 0.136425i | ||||
\(249\) | −3.36785 | + | 4.32541i | −0.213429 | + | 0.274112i | ||||
\(250\) | 21.1995 | + | 14.5138i | 1.34078 | + | 0.917934i | ||||
\(251\) | −19.3025 | −1.21836 | −0.609182 | − | 0.793030i | \(-0.708502\pi\) | ||||
−0.609182 | + | 0.793030i | \(0.708502\pi\) | |||||||
\(252\) | 20.3921 | + | 16.1918i | 1.28458 | + | 1.01999i | ||||
\(253\) | 13.4818i | 0.847595i | ||||||||
\(254\) | 22.0536 | + | 12.7327i | 1.38377 | + | 0.798918i | ||||
\(255\) | −17.9981 | − | 14.7683i | −1.12708 | − | 0.924828i | ||||
\(256\) | 8.63910 | + | 14.9634i | 0.539944 | + | 0.935210i | ||||
\(257\) | 3.74759i | 0.233768i | 0.993146 | + | 0.116884i | \(0.0372906\pi\) | ||||
−0.993146 | + | 0.116884i | \(0.962709\pi\) | |||||||
\(258\) | 8.59119 | + | 21.1628i | 0.534864 | + | 1.31754i | ||||
\(259\) | −10.2946 | + | 1.32967i | −0.639678 | + | 0.0826219i | ||||
\(260\) | 22.7093 | + | 13.8975i | 1.40837 | + | 0.861889i | ||||
\(261\) | −1.56615 | + | 5.53098i | −0.0969423 | + | 0.342359i | ||||
\(262\) | −13.1996 | + | 22.8624i | −0.815475 | + | 1.41244i | ||||
\(263\) | 24.7037 | 1.52329 | 0.761647 | − | 0.647992i | \(-0.224391\pi\) | ||||
0.761647 | + | 0.647992i | \(0.224391\pi\) | |||||||
\(264\) | −9.65479 | − | 23.7828i | −0.594211 | − | 1.46373i | ||||
\(265\) | 22.9761 | − | 12.4929i | 1.41141 | − | 0.767431i | ||||
\(266\) | 6.11173 | − | 14.6534i | 0.374734 | − | 0.898458i | ||||
\(267\) | −6.88220 | − | 5.35861i | −0.421184 | − | 0.327942i | ||||
\(268\) | −13.5273 | − | 7.80997i | −0.826309 | − | 0.477070i | ||||
\(269\) | 9.85276 | − | 17.0655i | 0.600733 | − | 1.04050i | −0.391977 | − | 0.919975i | \(-0.628209\pi\) |
0.992710 | − | 0.120525i | \(-0.0384579\pi\) | |||||||
\(270\) | −2.24321 | − | 26.6053i | −0.136517 | − | 1.61915i | ||||
\(271\) | 17.0234 | − | 9.82848i | 1.03410 | − | 0.597038i | 0.115943 | − | 0.993256i | \(-0.463011\pi\) |
0.918156 | + | 0.396218i | \(0.129678\pi\) | |||||||
\(272\) | 1.04624 | − | 0.604048i | 0.0634377 | − | 0.0366258i | ||||
\(273\) | 8.45292 | − | 14.3243i | 0.511594 | − | 0.866945i | ||||
\(274\) | 6.57700 | − | 11.3917i | 0.397331 | − | 0.688198i | ||||
\(275\) | −22.4219 | + | 11.4585i | −1.35209 | + | 0.690972i | ||||
\(276\) | −12.0023 | − | 9.34522i | −0.722454 | − | 0.562516i | ||||
\(277\) | − | 6.56051i | − | 0.394183i | −0.980385 | − | 0.197091i | \(-0.936850\pi\) | ||
0.980385 | − | 0.197091i | \(-0.0631496\pi\) | |||||||
\(278\) | 12.0839 | − | 6.97662i | 0.724741 | − | 0.418430i | ||||
\(279\) | −1.19347 | + | 4.21483i | −0.0714513 | + | 0.252336i | ||||
\(280\) | 10.2067 | + | 14.1031i | 0.609970 | + | 0.842822i | ||||
\(281\) | 13.6397 | − | 7.87486i | 0.813674 | − | 0.469775i | −0.0345563 | − | 0.999403i | \(-0.511002\pi\) |
0.848230 | + | 0.529628i | \(0.177668\pi\) | |||||||
\(282\) | −11.2721 | + | 14.4771i | −0.671245 | + | 0.862097i | ||||
\(283\) | 8.09971 | + | 14.0291i | 0.481477 | + | 0.833943i | 0.999774 | − | 0.0212575i | \(-0.00676698\pi\) |
−0.518297 | + | 0.855201i | \(0.673434\pi\) | |||||||
\(284\) | −36.0386 | + | 20.8069i | −2.13850 | + | 1.23466i | ||||
\(285\) | −9.46545 | + | 3.56338i | −0.560685 | + | 0.211076i | ||||
\(286\) | −36.3750 | + | 21.0011i | −2.15090 | + | 1.24182i | ||||
\(287\) | −1.23754 | + | 0.944795i | −0.0730500 | + | 0.0557695i | ||||
\(288\) | −15.6550 | − | 4.43288i | −0.922482 | − | 0.261210i | ||||
\(289\) | 9.56780 | + | 16.5719i | 0.562812 | + | 0.974819i | ||||
\(290\) | −5.13940 | + | 8.39807i | −0.301796 | + | 0.493152i | ||||
\(291\) | 11.4458 | + | 8.91191i | 0.670965 | + | 0.522426i | ||||
\(292\) | −18.9524 | −1.10910 | ||||||||
\(293\) | 15.3284 | + | 8.84983i | 0.895492 | + | 0.517013i | 0.875735 | − | 0.482792i | \(-0.160377\pi\) |
0.0197572 | + | 0.999805i | \(0.493711\pi\) | |||||||
\(294\) | 22.3051 | − | 16.6951i | 1.30086 | − | 0.973676i | ||||
\(295\) | −0.166392 | + | 6.50363i | −0.00968773 | + | 0.378656i | ||||
\(296\) | −9.99832 | + | 5.77253i | −0.581141 | + | 0.335522i | ||||
\(297\) | 23.9582 | + | 10.5244i | 1.39020 | + | 0.610687i | ||||
\(298\) | −31.7561 | − | 18.3344i | −1.83958 | − | 1.06208i | ||||
\(299\) | −4.85822 | + | 8.41468i | −0.280958 | + | 0.486634i | ||||
\(300\) | 5.34119 | − | 27.9039i | 0.308374 | − | 1.61103i | ||||
\(301\) | 15.0576 | − | 1.94486i | 0.867905 | − | 0.112100i | ||||
\(302\) | −16.7082 | + | 28.9394i | −0.961446 | + | 1.66527i | ||||
\(303\) | −11.0561 | + | 4.48831i | −0.635159 | + | 0.257847i | ||||
\(304\) | − | 0.524819i | − | 0.0301004i | ||||||
\(305\) | 13.9414 | + | 25.6402i | 0.798285 | + | 1.46815i | ||||
\(306\) | −11.2905 | + | 39.8732i | −0.645434 | + | 2.27940i | ||||
\(307\) | −6.36015 | −0.362993 | −0.181497 | − | 0.983392i | \(-0.558094\pi\) | ||||
−0.181497 | + | 0.983392i | \(0.558094\pi\) | |||||||
\(308\) | −43.3503 | + | 5.59919i | −2.47011 | + | 0.319044i | ||||
\(309\) | −25.2824 | + | 10.2636i | −1.43827 | + | 0.583873i | ||||
\(310\) | −3.91644 | + | 6.39968i | −0.222439 | + | 0.363477i | ||||
\(311\) | −13.4820 | − | 23.3515i | −0.764493 | − | 1.32414i | −0.940514 | − | 0.339754i | \(-0.889656\pi\) |
0.176022 | − | 0.984386i | \(-0.443677\pi\) | |||||||
\(312\) | 2.54418 | − | 18.3232i | 0.144036 | − | 1.03735i | ||||
\(313\) | −4.98798 | + | 8.63944i | −0.281937 | + | 0.488330i | −0.971862 | − | 0.235552i | \(-0.924310\pi\) |
0.689925 | + | 0.723881i | \(0.257644\pi\) | |||||||
\(314\) | 2.45223 | 0.138388 | ||||||||
\(315\) | −17.4831 | − | 3.05628i | −0.985062 | − | 0.172202i | ||||
\(316\) | 0.501645 | 0.0282198 | ||||||||
\(317\) | 14.2570 | − | 24.6938i | 0.800753 | − | 1.38694i | −0.118369 | − | 0.992970i | \(-0.537767\pi\) |
0.919121 | − | 0.393974i | \(-0.128900\pi\) | |||||||
\(318\) | −36.7306 | − | 28.5992i | −2.05975 | − | 1.60376i | ||||
\(319\) | −4.82487 | − | 8.35693i | −0.270141 | − | 0.467898i | ||||
\(320\) | −24.5367 | − | 15.0159i | −1.37165 | − | 0.839412i | ||||
\(321\) | 17.6733 | + | 13.7608i | 0.986430 | + | 0.768053i | ||||
\(322\) | −12.9369 | + | 9.87662i | −0.720948 | + | 0.550403i | ||||
\(323\) | 15.6980 | 0.873459 | ||||||||
\(324\) | −25.9766 | + | 14.0338i | −1.44314 | + | 0.779655i | ||||
\(325\) | −18.1237 | − | 0.927979i | −1.00532 | − | 0.0514750i | ||||
\(326\) | − | 6.68218i | − | 0.370092i | ||||||
\(327\) | 4.00045 | − | 28.8113i | 0.221225 | − | 1.59327i | ||||
\(328\) | −0.865850 | + | 1.49970i | −0.0478086 | + | 0.0828069i | ||||
\(329\) | 7.40104 | + | 9.69429i | 0.408032 | + | 0.534464i | ||||
\(330\) | 34.6486 | + | 28.4309i | 1.90734 | + | 1.56507i | ||||
\(331\) | 12.5448 | − | 21.7282i | 0.689525 | − | 1.19429i | −0.282466 | − | 0.959277i | \(-0.591153\pi\) |
0.971992 | − | 0.235015i | \(-0.0755141\pi\) | |||||||
\(332\) | 8.99192 | + | 5.19149i | 0.493496 | + | 0.284920i | ||||
\(333\) | 3.20671 | − | 11.3247i | 0.175727 | − | 0.620592i | ||||
\(334\) | −49.3510 | + | 28.4928i | −2.70037 | + | 1.55906i | ||||
\(335\) | 10.6432 | + | 0.272302i | 0.581502 | + | 0.0148774i | ||||
\(336\) | 0.468053 | − | 0.793161i | 0.0255344 | − | 0.0432705i | ||||
\(337\) | 30.3670 | + | 17.5324i | 1.65420 | + | 0.955051i | 0.975319 | + | 0.220801i | \(0.0708671\pi\) |
0.678879 | + | 0.734250i | \(0.262466\pi\) | |||||||
\(338\) | −0.397977 | −0.0216471 | ||||||||
\(339\) | −2.30192 | + | 16.5784i | −0.125023 | + | 0.900417i | ||||
\(340\) | −23.0176 | + | 37.6120i | −1.24830 | + | 2.03980i | ||||
\(341\) | −3.67675 | − | 6.36832i | −0.199107 | − | 0.344864i | ||||
\(342\) | 12.5486 | + | 12.9085i | 0.678551 | + | 0.698012i | ||||
\(343\) | −6.96149 | − | 17.1621i | −0.375885 | − | 0.926666i | ||||
\(344\) | 14.6242 | − | 8.44327i | 0.788482 | − | 0.455230i | ||||
\(345\) | 10.2299 | + | 1.68816i | 0.550762 | + | 0.0908872i | ||||
\(346\) | 6.77948 | − | 3.91414i | 0.364467 | − | 0.210425i | ||||
\(347\) | 15.4041 | + | 26.6806i | 0.826933 | + | 1.43229i | 0.900433 | + | 0.434995i | \(0.143250\pi\) |
−0.0734993 | + | 0.997295i | \(0.523417\pi\) | |||||||
\(348\) | 10.7843 | + | 1.49740i | 0.578098 | + | 0.0802691i | ||||
\(349\) | 5.17646 | − | 2.98863i | 0.277089 | − | 0.159978i | −0.355016 | − | 0.934860i | \(-0.615524\pi\) |
0.632105 | + | 0.774883i | \(0.282191\pi\) | |||||||
\(350\) | −27.4213 | − | 13.1213i | −1.46573 | − | 0.701364i | ||||
\(351\) | 11.1610 | + | 15.2022i | 0.595731 | + | 0.811435i | ||||
\(352\) | 23.6537 | − | 13.6565i | 1.26075 | − | 0.727892i | ||||
\(353\) | − | 1.13965i | − | 0.0606573i | −0.999540 | − | 0.0303286i | \(-0.990345\pi\) | ||
0.999540 | − | 0.0303286i | \(-0.00965539\pi\) | |||||||
\(354\) | 10.7297 | − | 4.35580i | 0.570278 | − | 0.231508i | ||||
\(355\) | 14.8058 | − | 24.1935i | 0.785812 | − | 1.28406i | ||||
\(356\) | −8.26021 | + | 14.3071i | −0.437790 | + | 0.758275i | ||||
\(357\) | 23.7244 | + | 14.0000i | 1.25563 | + | 0.740960i | ||||
\(358\) | 1.39006 | − | 0.802550i | 0.0734668 | − | 0.0424161i | ||||
\(359\) | 4.46715 | − | 2.57911i | 0.235767 | − | 0.136120i | −0.377463 | − | 0.926025i | \(-0.623203\pi\) |
0.613230 | + | 0.789905i | \(0.289870\pi\) | |||||||
\(360\) | −19.2552 | + | 4.34799i | −1.01484 | + | 0.229159i | ||||
\(361\) | −6.09025 | + | 10.5486i | −0.320540 | + | 0.555191i | ||||
\(362\) | 35.4701 | + | 20.4787i | 1.86427 | + | 1.07634i | ||||
\(363\) | −23.0480 | + | 9.35648i | −1.20971 | + | 0.491088i | ||||
\(364\) | −29.0748 | − | 12.1267i | −1.52393 | − | 0.635610i | ||||
\(365\) | 11.3490 | − | 6.17083i | 0.594033 | − | 0.322996i | ||||
\(366\) | 31.9153 | − | 40.9896i | 1.66824 | − | 2.14256i | ||||
\(367\) | −8.48403 | −0.442863 | −0.221431 | − | 0.975176i | \(-0.571073\pi\) | ||||
−0.221431 | + | 0.975176i | \(0.571073\pi\) | |||||||
\(368\) | −0.269008 | + | 0.465936i | −0.0140230 | + | 0.0242886i | ||||
\(369\) | −0.432777 | − | 1.71157i | −0.0225295 | − | 0.0891008i | ||||
\(370\) | 10.5230 | − | 17.1952i | 0.547064 | − | 0.893933i | ||||
\(371\) | −24.5960 | + | 18.7776i | −1.27696 | + | 0.974885i | ||||
\(372\) | 8.21807 | + | 1.14108i | 0.426087 | + | 0.0591623i | ||||
\(373\) | − | 15.0904i | − | 0.781352i | −0.920528 | − | 0.390676i | \(-0.872241\pi\) | ||
0.920528 | − | 0.390676i | \(-0.127759\pi\) | |||||||
\(374\) | −34.7828 | − | 60.2456i | −1.79858 | − | 3.11523i | ||||
\(375\) | 5.88703 | + | 18.4484i | 0.304005 | + | 0.952670i | ||||
\(376\) | 11.7478 | + | 6.78262i | 0.605849 | + | 0.349787i | ||||
\(377\) | − | 6.95463i | − | 0.358182i | ||||||
\(378\) | 7.45245 | + | 30.7000i | 0.383313 | + | 1.57904i | ||||
\(379\) | 4.62607 | 0.237625 | 0.118813 | − | 0.992917i | \(-0.462091\pi\) | ||||
0.118813 | + | 0.992917i | \(0.462091\pi\) | |||||||
\(380\) | 9.15067 | + | 16.8293i | 0.469419 | + | 0.863325i | ||||
\(381\) | 7.21976 | + | 17.7846i | 0.369880 | + | 0.911132i | ||||
\(382\) | −24.2354 | + | 13.9923i | −1.23999 | + | 0.715909i | ||||
\(383\) | − | 2.34617i | − | 0.119884i | −0.998202 | − | 0.0599418i | \(-0.980908\pi\) | ||
0.998202 | − | 0.0599418i | \(-0.0190915\pi\) | |||||||
\(384\) | −4.45831 | + | 32.1087i | −0.227512 | + | 1.63854i | ||||
\(385\) | 24.1357 | − | 17.4676i | 1.23007 | − | 0.890231i | ||||
\(386\) | 1.77633i | 0.0904129i | ||||||||
\(387\) | −4.69034 | + | 16.5643i | −0.238423 | + | 0.842009i | ||||
\(388\) | 13.7376 | − | 23.7942i | 0.697420 | − | 1.20797i | ||||
\(389\) | 12.8137i | 0.649679i | 0.945769 | + | 0.324839i | \(0.105310\pi\) | ||||
−0.945769 | + | 0.324839i | \(0.894690\pi\) | |||||||
\(390\) | 11.3808 | + | 30.2309i | 0.576288 | + | 1.53080i | ||||
\(391\) | −13.9367 | − | 8.04636i | −0.704809 | − | 0.406922i | ||||
\(392\) | −14.4939 | − | 14.6366i | −0.732055 | − | 0.739262i | ||||
\(393\) | −18.4368 | + | 7.48455i | −0.930015 | + | 0.377545i | ||||
\(394\) | −0.366596 | + | 0.634962i | −0.0184688 | + | 0.0319889i | ||||
\(395\) | −0.300393 | + | 0.163334i | −0.0151144 | + | 0.00821823i | ||||
\(396\) | 13.5033 | − | 47.6880i | 0.678567 | − | 2.39641i | ||||
\(397\) | −2.38016 | − | 4.12255i | −0.119457 | − | 0.206905i | 0.800096 | − | 0.599872i | \(-0.204782\pi\) |
−0.919552 | + | 0.392967i | \(0.871449\pi\) | |||||||
\(398\) | 17.2131 | − | 9.93797i | 0.862813 | − | 0.498145i | ||||
\(399\) | 10.4202 | − | 5.88460i | 0.521663 | − | 0.294598i | ||||
\(400\) | −1.00354 | − | 0.0513838i | −0.0501770 | − | 0.00256919i | ||||
\(401\) | 23.1910i | 1.15810i | 0.815291 | + | 0.579052i | \(0.196577\pi\) | ||||
−0.815291 | + | 0.579052i | \(0.803423\pi\) | |||||||
\(402\) | −7.12829 | − | 17.5592i | −0.355527 | − | 0.875776i | ||||
\(403\) | − | 5.29972i | − | 0.263998i | ||||||
\(404\) | 11.3002 | + | 19.5726i | 0.562207 | + | 0.973772i | ||||
\(405\) | 10.9858 | − | 16.8615i | 0.545891 | − | 0.837857i | ||||
\(406\) | 4.48453 | − | 10.7520i | 0.222563 | − | 0.533615i | ||||
\(407\) | 9.87898 | + | 17.1109i | 0.489683 | + | 0.848156i | ||||
\(408\) | 30.3475 | + | 4.21376i | 1.50243 | + | 0.208612i | ||||
\(409\) | −9.49389 | + | 5.48130i | −0.469443 | + | 0.271033i | −0.716006 | − | 0.698094i | \(-0.754032\pi\) |
0.246564 | + | 0.969127i | \(0.420699\pi\) | |||||||
\(410\) | 0.0773377 | − | 3.02283i | 0.00381944 | − | 0.149287i | ||||
\(411\) | 9.18656 | − | 3.72934i | 0.453139 | − | 0.183955i | ||||
\(412\) | 25.8406 | + | 44.7572i | 1.27307 | + | 2.20503i | ||||
\(413\) | −0.986060 | − | 7.63430i | −0.0485208 | − | 0.375660i | ||||
\(414\) | −4.52412 | − | 17.8923i | −0.222349 | − | 0.879358i | ||||
\(415\) | −7.07483 | − | 0.181006i | −0.347290 | − | 0.00888524i | ||||
\(416\) | 19.6846 | 0.965116 | ||||||||
\(417\) | 10.4171 | + | 1.44642i | 0.510130 | + | 0.0708317i | ||||
\(418\) | −30.2206 | −1.47814 | ||||||||
\(419\) | −1.39994 | + | 2.42477i | −0.0683915 | + | 0.118458i | −0.898193 | − | 0.439601i | \(-0.855120\pi\) |
0.829802 | + | 0.558058i | \(0.188453\pi\) | |||||||
\(420\) | −1.17956 | + | 33.5951i | −0.0575564 | + | 1.63927i | ||||
\(421\) | 8.97588 | + | 15.5467i | 0.437457 | + | 0.757699i | 0.997493 | − | 0.0707703i | \(-0.0225457\pi\) |
−0.560035 | + | 0.828469i | \(0.689212\pi\) | |||||||
\(422\) | 21.6214 | + | 37.4494i | 1.05251 | + | 1.82301i | ||||
\(423\) | −13.4076 | + | 3.39015i | −0.651898 | + | 0.164835i | ||||
\(424\) | −17.2086 | + | 29.8062i | −0.835723 | + | 1.44751i | ||||
\(425\) | 1.53695 | − | 30.0171i | 0.0745532 | − | 1.45604i | ||||
\(426\) | −50.0084 | − | 6.94368i | −2.42291 | − | 0.336422i | ||||
\(427\) | −20.9549 | − | 27.4479i | −1.01408 | − | 1.32830i | ||||
\(428\) | 21.2121 | − | 36.7404i | 1.02532 | − | 1.77591i | ||||
\(429\) | −31.3579 | − | 4.35405i | −1.51397 | − | 0.210216i | ||||
\(430\) | −15.3916 | + | 25.1507i | −0.742248 | + | 1.21287i | ||||
\(431\) | 17.8638 | + | 10.3136i | 0.860467 | + | 0.496791i | 0.864169 | − | 0.503202i | \(-0.167845\pi\) |
−0.00370165 | + | 0.999993i | \(0.501178\pi\) | |||||||
\(432\) | 0.618005 | + | 0.841774i | 0.0297338 | + | 0.0404998i | ||||
\(433\) | 13.0171 | 0.625560 | 0.312780 | − | 0.949826i | \(-0.398740\pi\) | ||||
0.312780 | + | 0.949826i | \(0.398740\pi\) | |||||||
\(434\) | 3.41739 | − | 8.19350i | 0.164040 | − | 0.393301i | ||||
\(435\) | −6.94535 | + | 2.61466i | −0.333004 | + | 0.125363i | ||||
\(436\) | −55.0930 | −2.63848 | ||||||||
\(437\) | −6.05436 | + | 3.49549i | −0.289619 | + | 0.167212i | ||||
\(438\) | −18.1430 | − | 14.1265i | −0.866907 | − | 0.674990i | ||||
\(439\) | −22.5074 | − | 12.9947i | −1.07422 | − | 0.620202i | −0.144890 | − | 0.989448i | \(-0.546283\pi\) |
−0.929332 | + | 0.369245i | \(0.879616\pi\) | |||||||
\(440\) | 17.2971 | − | 28.2644i | 0.824605 | − | 1.34745i | ||||
\(441\) | 20.9962 | + | 0.399717i | 0.999819 | + | 0.0190341i | ||||
\(442\) | − | 50.1364i | − | 2.38475i | ||||||
\(443\) | 6.27892 | − | 10.8754i | 0.298321 | − | 0.516706i | −0.677431 | − | 0.735586i | \(-0.736907\pi\) |
0.975752 | + | 0.218880i | \(0.0702402\pi\) | |||||||
\(444\) | −22.0809 | − | 3.06595i | −1.04792 | − | 0.145503i | ||||
\(445\) | 0.288000 | − | 11.2568i | 0.0136525 | − | 0.533624i | ||||
\(446\) | 43.7205 | 2.07023 | ||||||||
\(447\) | −10.3961 | − | 25.6089i | −0.491718 | − | 1.21126i | ||||
\(448\) | 31.4144 | + | 13.1025i | 1.48419 | + | 0.619035i | ||||
\(449\) | − | 27.6483i | − | 1.30480i | −0.757874 | − | 0.652401i | \(-0.773762\pi\) | ||
0.757874 | − | 0.652401i | \(-0.226238\pi\) | |||||||
\(450\) | 25.9118 | − | 22.7312i | 1.22149 | − | 1.07156i | ||||
\(451\) | 2.56655 | + | 1.48180i | 0.120854 | + | 0.0697750i | ||||
\(452\) | 31.7014 | 1.49111 | ||||||||
\(453\) | −23.3374 | + | 9.47398i | −1.09649 | + | 0.445127i | ||||
\(454\) | 24.6357 | + | 14.2234i | 1.15621 | + | 0.667538i | ||||
\(455\) | 21.3588 | − | 2.20500i | 1.00132 | − | 0.103372i | ||||
\(456\) | 8.17705 | − | 10.5020i | 0.382926 | − | 0.491801i | ||||
\(457\) | −4.01764 | − | 2.31959i | −0.187937 | − | 0.108506i | 0.403079 | − | 0.915165i | \(-0.367940\pi\) |
−0.591017 | + | 0.806659i | \(0.701273\pi\) | |||||||
\(458\) | −2.25851 | − | 1.30395i | −0.105533 | − | 0.0609297i | ||||
\(459\) | −25.1785 | + | 18.4853i | −1.17523 | + | 0.862819i | ||||
\(460\) | 0.502262 | − | 19.6315i | 0.0234181 | − | 0.915323i | ||||
\(461\) | 4.85128 | + | 8.40266i | 0.225947 | + | 0.391351i | 0.956603 | − | 0.291394i | \(-0.0941192\pi\) |
−0.730656 | + | 0.682745i | \(0.760786\pi\) | |||||||
\(462\) | −45.6725 | − | 26.9518i | −2.12488 | − | 1.25391i | ||||
\(463\) | −13.1716 | − | 7.60465i | −0.612138 | − | 0.353418i | 0.161664 | − | 0.986846i | \(-0.448314\pi\) |
−0.773802 | + | 0.633428i | \(0.781647\pi\) | |||||||
\(464\) | − | 0.385090i | − | 0.0178774i | ||||||
\(465\) | −5.29264 | + | 1.99248i | −0.245440 | + | 0.0923989i | ||||
\(466\) | −9.04965 | −0.419217 | ||||||||
\(467\) | 0.943117 | − | 0.544509i | 0.0436423 | − | 0.0251969i | −0.478020 | − | 0.878349i | \(-0.658645\pi\) |
0.521662 | + | 0.853152i | \(0.325312\pi\) | |||||||
\(468\) | 25.6126 | − | 24.8985i | 1.18394 | − | 1.15093i | ||||
\(469\) | −12.4936 | + | 1.61369i | −0.576900 | + | 0.0745134i | ||||
\(470\) | −23.6793 | − | 0.605824i | −1.09225 | − | 0.0279446i | ||||
\(471\) | 1.45840 | + | 1.13554i | 0.0671994 | + | 0.0523227i | ||||
\(472\) | −4.28080 | − | 7.41456i | −0.197040 | − | 0.341283i | ||||
\(473\) | −14.4496 | − | 25.0275i | −0.664394 | − | 1.15076i | ||||
\(474\) | 0.480223 | + | 0.373911i | 0.0220574 | + | 0.0171743i | ||||
\(475\) | −10.9591 | − | 7.09823i | −0.502839 | − | 0.325689i | ||||
\(476\) | 20.0846 | − | 48.1547i | 0.920578 | − | 2.20717i | ||||
\(477\) | −8.60135 | − | 34.0171i | −0.393829 | − | 1.55754i | ||||
\(478\) | 5.88864 | − | 3.39981i | 0.269340 | − | 0.155504i | ||||
\(479\) | 24.4898 | 1.11897 | 0.559484 | − | 0.828841i | \(-0.310999\pi\) | ||||
0.559484 | + | 0.828841i | \(0.310999\pi\) | |||||||
\(480\) | −7.40060 | − | 19.6583i | −0.337790 | − | 0.897275i | ||||
\(481\) | 14.2397i | 0.649274i | ||||||||
\(482\) | −24.3169 | − | 14.0393i | −1.10760 | − | 0.639474i | ||||
\(483\) | −12.2674 | − | 0.116760i | −0.558185 | − | 0.00531276i | ||||
\(484\) | 23.5568 | + | 40.8016i | 1.07077 | + | 1.85462i | ||||
\(485\) | −0.478974 | + | 18.7212i | −0.0217491 | + | 0.850088i | ||||
\(486\) | −35.3276 | − | 5.92764i | −1.60249 | − | 0.268883i | ||||
\(487\) | −19.5953 | − | 11.3134i | −0.887949 | − | 0.512657i | −0.0146777 | − | 0.999892i | \(-0.504672\pi\) |
−0.873271 | + | 0.487235i | \(0.838006\pi\) | |||||||
\(488\) | −33.2622 | − | 19.2040i | −1.50571 | − | 0.869322i | ||||
\(489\) | 3.09426 | − | 3.97404i | 0.139927 | − | 0.179712i | ||||
\(490\) | 34.4432 | + | 10.3637i | 1.55598 | + | 0.468186i | ||||
\(491\) | −10.0195 | − | 5.78479i | −0.452176 | − | 0.261064i | 0.256573 | − | 0.966525i | \(-0.417407\pi\) |
−0.708749 | + | 0.705461i | \(0.750740\pi\) | |||||||
\(492\) | −3.09824 | + | 1.25775i | −0.139679 | + | 0.0567037i | ||||
\(493\) | 11.5185 | 0.518768 | ||||||||
\(494\) | −18.8622 | − | 10.8901i | −0.848650 | − | 0.489969i | ||||
\(495\) | 7.44104 | + | 32.9529i | 0.334450 | + | 1.48112i | ||||
\(496\) | − | 0.293455i | − | 0.0131765i | ||||||
\(497\) | −12.9192 | + | 30.9750i | −0.579506 | + | 1.38942i | ||||
\(498\) | 4.73836 | + | 11.6721i | 0.212331 | + | 0.523038i | ||||
\(499\) | −15.5509 | −0.696153 | −0.348077 | − | 0.937466i | \(-0.613165\pi\) | ||||
−0.348077 | + | 0.937466i | \(0.613165\pi\) | |||||||
\(500\) | 33.0763 | − | 15.8499i | 1.47922 | − | 0.708828i | ||||
\(501\) | −42.5441 | − | 5.90726i | −1.90073 | − | 0.263917i | ||||
\(502\) | −22.1781 | + | 38.4136i | −0.989857 | + | 1.71448i | ||||
\(503\) | − | 7.19412i | − | 0.320770i | −0.987055 | − | 0.160385i | \(-0.948726\pi\) | ||
0.987055 | − | 0.160385i | \(-0.0512736\pi\) | |||||||
\(504\) | 21.7241 | − | 8.57910i | 0.967667 | − | 0.382144i | ||||
\(505\) | −13.1395 | − | 8.04105i | −0.584701 | − | 0.357822i | ||||
\(506\) | 26.8299 | + | 15.4903i | 1.19274 | + | 0.688627i | ||||
\(507\) | −0.236686 | − | 0.184288i | −0.0105116 | − | 0.00818452i | ||||
\(508\) | 31.4839 | − | 18.1772i | 1.39687 | − | 0.806483i | ||||
\(509\) | 41.6125 | 1.84444 | 0.922221 | − | 0.386663i | \(-0.126372\pi\) | ||||
0.922221 | + | 0.386663i | \(0.126372\pi\) | |||||||
\(510\) | −50.0695 | + | 18.8492i | −2.21711 | + | 0.834659i | ||||
\(511\) | −12.1491 | + | 9.27517i | −0.537446 | + | 0.410309i | ||||
\(512\) | 2.27275 | 0.100442 | ||||||||
\(513\) | 1.48549 | + | 13.4878i | 0.0655861 | + | 0.595499i | ||||
\(514\) | 7.45800 | + | 4.30588i | 0.328958 | + | 0.189924i | ||||
\(515\) | −30.0465 | − | 18.3877i | −1.32401 | − | 0.810259i | ||||
\(516\) | 32.2970 | + | 4.48444i | 1.42179 | + | 0.197417i | ||||
\(517\) | 11.6076 | − | 20.1050i | 0.510503 | − | 0.884217i | ||||
\(518\) | −9.18212 | + | 22.0149i | −0.403439 | + | 0.967281i | ||||
\(519\) | 5.84440 | + | 0.811496i | 0.256541 | + | 0.0356207i | ||||
\(520\) | 20.9811 | − | 11.4081i | 0.920083 | − | 0.500280i | ||||
\(521\) | 5.95581 | − | 10.3158i | 0.260929 | − | 0.451942i | −0.705560 | − | 0.708650i | \(-0.749305\pi\) |
0.966489 | + | 0.256708i | \(0.0826379\pi\) | |||||||
\(522\) | 9.20763 | + | 9.47172i | 0.403007 | + | 0.414566i | ||||
\(523\) | 14.7582 | + | 25.5619i | 0.645330 | + | 1.11775i | 0.984225 | + | 0.176921i | \(0.0566136\pi\) |
−0.338895 | + | 0.940824i | \(0.610053\pi\) | |||||||
\(524\) | 18.8439 | + | 32.6385i | 0.823198 | + | 1.42582i | ||||
\(525\) | −10.2321 | − | 20.5013i | −0.446566 | − | 0.894751i | ||||
\(526\) | 28.3839 | − | 49.1623i | 1.23760 | − | 2.14358i | ||||
\(527\) | 8.77758 | 0.382357 | ||||||||
\(528\) | −1.73634 | − | 0.241091i | −0.0755645 | − | 0.0104922i | ||||
\(529\) | −15.8332 | −0.688401 | ||||||||
\(530\) | 1.53707 | − | 60.0782i | 0.0667661 | − | 2.60963i | ||||
\(531\) | 8.39821 | + | 2.37803i | 0.364451 | + | 0.103198i | ||||
\(532\) | −13.7541 | − | 18.0158i | −0.596314 | − | 0.781085i | ||||
\(533\) | 1.06794 | + | 1.84973i | 0.0462576 | + | 0.0801205i | ||||
\(534\) | −18.5715 | + | 7.53923i | −0.803669 | + | 0.326255i | ||||
\(535\) | −0.739578 | + | 28.9073i | −0.0319748 | + | 1.24977i | ||||
\(536\) | −12.1340 | + | 7.00555i | −0.524108 | + | 0.302594i | ||||
\(537\) | 1.19833 | + | 0.166388i | 0.0517117 | + | 0.00718018i | ||||
\(538\) | −22.6411 | − | 39.2156i | −0.976128 | − | 1.69070i | ||||
\(539\) | −25.0488 | + | 24.8046i | −1.07893 | + | 1.06841i | ||||
\(540\) | −34.4945 | − | 16.2176i | −1.48441 | − | 0.697894i | ||||
\(541\) | −0.448564 | − | 0.776935i | −0.0192853 | − | 0.0334030i | 0.856222 | − | 0.516609i | \(-0.172806\pi\) |
−0.875507 | + | 0.483205i | \(0.839472\pi\) | |||||||
\(542\) | − | 45.1707i | − | 1.94025i | ||||||
\(543\) | 11.6120 | + | 28.6040i | 0.498317 | + | 1.22751i | ||||
\(544\) | 32.6023i | 1.39781i | ||||||||
\(545\) | 32.9906 | − | 17.9381i | 1.41316 | − | 0.768384i | ||||
\(546\) | −18.7943 | − | 33.2802i | −0.804322 | − | 1.42426i | ||||
\(547\) | 5.58675 | − | 3.22551i | 0.238872 | − | 0.137913i | −0.375786 | − | 0.926706i | \(-0.622627\pi\) |
0.614658 | + | 0.788794i | \(0.289294\pi\) | |||||||
\(548\) | −9.38937 | − | 16.2629i | −0.401094 | − | 0.694715i | ||||
\(549\) | 37.9615 | − | 9.59869i | 1.62016 | − | 0.409662i | ||||
\(550\) | −2.95883 | + | 57.7868i | −0.126165 | + | 2.46404i | ||||
\(551\) | 2.50193 | − | 4.33347i | 0.106586 | − | 0.184612i | ||||
\(552\) | −12.6426 | + | 5.13236i | −0.538107 | + | 0.218448i | ||||
\(553\) | 0.321572 | − | 0.245502i | 0.0136746 | − | 0.0104398i | ||||
\(554\) | −13.0559 | − | 7.53786i | −0.554694 | − | 0.320253i | ||||
\(555\) | 14.2207 | − | 5.35354i | 0.603634 | − | 0.227245i | ||||
\(556\) | − | 19.9197i | − | 0.844784i | ||||||
\(557\) | −1.69987 | + | 2.94426i | −0.0720258 | + | 0.124752i | −0.899789 | − | 0.436325i | \(-0.856280\pi\) |
0.827763 | + | 0.561078i | \(0.189613\pi\) | |||||||
\(558\) | 7.01659 | + | 7.21784i | 0.297036 | + | 0.305556i | ||||
\(559\) | − | 20.8279i | − | 0.880924i | ||||||
\(560\) | 1.18268 | − | 0.122095i | 0.0499772 | − | 0.00515944i | ||||
\(561\) | 7.21133 | − | 51.9360i | 0.304463 | − | 2.19274i | ||||
\(562\) | − | 36.1920i | − | 1.52667i | ||||||
\(563\) | 21.3782 | − | 12.3427i | 0.900986 | − | 0.520184i | 0.0234659 | − | 0.999725i | \(-0.492530\pi\) |
0.877520 | + | 0.479540i | \(0.159197\pi\) | |||||||
\(564\) | 9.85256 | + | 24.2700i | 0.414867 | + | 1.02195i | ||||
\(565\) | −18.9833 | + | 10.3219i | −0.798632 | + | 0.434244i | ||||
\(566\) | 37.2254 | 1.56470 | ||||||||
\(567\) | −9.78384 | + | 21.7089i | −0.410883 | + | 0.911688i | ||||
\(568\) | 37.3276i | 1.56623i | ||||||||
\(569\) | −34.6072 | − | 19.9805i | −1.45081 | − | 0.837626i | −0.452283 | − | 0.891875i | \(-0.649390\pi\) |
−0.998527 | + | 0.0542490i | \(0.982724\pi\) | |||||||
\(570\) | −3.78414 | + | 22.9312i | −0.158500 | + | 0.960484i | ||||
\(571\) | 8.27238 | + | 14.3282i | 0.346188 | + | 0.599615i | 0.985569 | − | 0.169275i | \(-0.0541425\pi\) |
−0.639381 | + | 0.768890i | \(0.720809\pi\) | |||||||
\(572\) | 59.9627i | 2.50717i | ||||||||
\(573\) | −20.8926 | − | 2.90095i | −0.872802 | − | 0.121189i | ||||
\(574\) | 0.458312 | + | 3.54836i | 0.0191296 | + | 0.148106i | ||||
\(575\) | 6.09118 | + | 11.9192i | 0.254020 | + | 0.497064i | ||||
\(576\) | −27.6736 | + | 26.9021i | −1.15307 | + | 1.12092i | ||||
\(577\) | −10.2849 | + | 17.8139i | −0.428164 | + | 0.741602i | −0.996710 | − | 0.0810497i | \(-0.974173\pi\) |
0.568546 | + | 0.822651i | \(0.307506\pi\) | |||||||
\(578\) | 43.9726 | 1.82902 | ||||||||
\(579\) | −0.822552 | + | 1.05642i | −0.0341841 | + | 0.0439035i | ||||
\(580\) | 6.71437 | + | 12.3486i | 0.278799 | + | 0.512749i | ||||
\(581\) | 8.30481 | − | 1.07266i | 0.344542 | − | 0.0445016i | ||||
\(582\) | 30.8864 | − | 12.5385i | 1.28028 | − | 0.519738i | ||||
\(583\) | 51.0096 | + | 29.4504i | 2.11260 | + | 1.21971i | ||||
\(584\) | −8.50015 | + | 14.7227i | −0.351739 | + | 0.609229i | ||||
\(585\) | −7.23037 | + | 23.2490i | −0.298939 | + | 0.961227i | ||||
\(586\) | 35.2238 | − | 20.3364i | 1.45508 | − | 0.840091i | ||||
\(587\) | 19.8410 | − | 11.4552i | 0.818924 | − | 0.472806i | −0.0311213 | − | 0.999516i | \(-0.509908\pi\) |
0.850045 | + | 0.526710i | \(0.176574\pi\) | |||||||
\(588\) | −4.71938 | − | 39.4937i | −0.194624 | − | 1.62869i | ||||
\(589\) | 1.90657 | − | 3.30228i | 0.0785589 | − | 0.136068i | ||||
\(590\) | 12.7516 | + | 7.80364i | 0.524974 | + | 0.321271i | ||||
\(591\) | −0.512050 | + | 0.207870i | −0.0210629 | + | 0.00855062i | ||||
\(592\) | 0.788477i | 0.0324062i | ||||||||
\(593\) | −30.9777 | + | 17.8850i | −1.27210 | + | 0.734448i | −0.975383 | − | 0.220518i | \(-0.929225\pi\) |
−0.296718 | + | 0.954965i | \(0.595892\pi\) | |||||||
\(594\) | 48.4718 | − | 35.5865i | 1.98882 | − | 1.46013i | ||||
\(595\) | 3.65200 | + | 35.3753i | 0.149717 | + | 1.45024i | ||||
\(596\) | −45.3352 | + | 26.1743i | −1.85700 | + | 1.07214i | ||||
\(597\) | 14.8389 | + | 2.06038i | 0.607315 | + | 0.0843259i | ||||
\(598\) | 11.1639 | + | 19.3365i | 0.456527 | + | 0.790729i | ||||
\(599\) | −5.91044 | + | 3.41240i | −0.241494 | + | 0.139427i | −0.615863 | − | 0.787853i | \(-0.711193\pi\) |
0.374369 | + | 0.927280i | \(0.377859\pi\) | |||||||
\(600\) | −19.2810 | − | 16.6641i | −0.787142 | − | 0.680309i | ||||
\(601\) | 23.1815 | − | 13.3839i | 0.945595 | − | 0.545940i | 0.0538853 | − | 0.998547i | \(-0.482839\pi\) |
0.891710 | + | 0.452608i | \(0.149506\pi\) | |||||||
\(602\) | 13.4303 | − | 32.2004i | 0.547380 | − | 1.31239i | ||||
\(603\) | 3.89167 | − | 13.7437i | 0.158481 | − | 0.559687i | ||||
\(604\) | 23.8527 | + | 41.3140i | 0.970551 | + | 1.68104i | ||||
\(605\) | −27.3911 | − | 16.7626i | −1.11361 | − | 0.681498i | ||||
\(606\) | −3.77111 | + | 27.1596i | −0.153191 | + | 1.10328i | ||||
\(607\) | −18.6187 | −0.755708 | −0.377854 | − | 0.925865i | \(-0.623338\pi\) | ||||
−0.377854 | + | 0.925865i | \(0.623338\pi\) | |||||||
\(608\) | 12.2656 | + | 7.08153i | 0.497434 | + | 0.287194i | ||||
\(609\) | 7.64591 | − | 4.31787i | 0.309828 | − | 0.174969i | ||||
\(610\) | 67.0444 | + | 1.71530i | 2.71455 | + | 0.0694504i | ||||
\(611\) | 14.4898 | − | 8.36569i | 0.586194 | − | 0.338440i | ||||
\(612\) | 41.2378 | + | 42.4205i | 1.66694 | + | 1.71475i | ||||
\(613\) | 14.3042 | + | 8.25853i | 0.577741 | + | 0.333559i | 0.760235 | − | 0.649648i | \(-0.225084\pi\) |
−0.182494 | + | 0.983207i | \(0.558417\pi\) | |||||||
\(614\) | −7.30765 | + | 12.6572i | −0.294913 | + | 0.510804i | ||||
\(615\) | 1.44575 | − | 1.76193i | 0.0582984 | − | 0.0710481i | ||||
\(616\) | −15.0930 | + | 36.1868i | −0.608115 | + | 1.45801i | ||||
\(617\) | −18.5590 | + | 32.1451i | −0.747156 | + | 1.29411i | 0.202025 | + | 0.979380i | \(0.435248\pi\) |
−0.949181 | + | 0.314731i | \(0.898086\pi\) | |||||||
\(618\) | −8.62352 | + | 62.1066i | −0.346889 | + | 2.49829i | ||||
\(619\) | − | 41.5790i | − | 1.67120i | −0.549338 | − | 0.835600i | \(-0.685120\pi\) | ||
0.549338 | − | 0.835600i | \(-0.314880\pi\) | |||||||
\(620\) | 5.11663 | + | 9.41017i | 0.205489 | + | 0.377921i | ||||
\(621\) | 5.59464 | − | 12.7359i | 0.224505 | − | 0.511074i | ||||
\(622\) | −61.9617 | −2.48444 | ||||||||
\(623\) | 1.70672 | + | 13.2138i | 0.0683784 | + | 0.529401i | ||||
\(624\) | −0.996858 | − | 0.776173i | −0.0399063 | − | 0.0310718i | ||||
\(625\) | −14.6460 | + | 20.2607i | −0.585839 | + | 0.810428i | ||||
\(626\) | 11.4621 | + | 19.8530i | 0.458118 | + | 0.793484i | ||||
\(627\) | −17.9729 | − | 13.9940i | −0.717768 | − | 0.558867i | ||||
\(628\) | 1.75041 | − | 3.03180i | 0.0698490 | − | 0.120982i | ||||
\(629\) | −23.5843 | −0.940367 | ||||||||
\(630\) | −26.1699 | + | 31.2812i | −1.04263 | + | 1.24627i | ||||
\(631\) | −13.2963 | −0.529317 | −0.264658 | − | 0.964342i | \(-0.585259\pi\) | ||||
−0.264658 | + | 0.964342i | \(0.585259\pi\) | |||||||
\(632\) | 0.224988 | − | 0.389691i | 0.00894955 | − | 0.0155011i | ||||
\(633\) | −4.48265 | + | 32.2840i | −0.178169 | + | 1.28318i | ||||
\(634\) | −32.7618 | − | 56.7452i | −1.30114 | − | 2.25364i | ||||
\(635\) | −12.9346 | + | 21.1358i | −0.513294 | + | 0.838750i | ||||
\(636\) | −61.5768 | + | 24.9975i | −2.44168 | + | 0.991216i | ||||
\(637\) | −24.5726 | + | 6.45538i | −0.973603 | + | 0.255771i | ||||
\(638\) | −22.1746 | −0.877901 | ||||||||
\(639\) | −26.5258 | − | 27.2865i | −1.04934 | − | 1.07944i | ||||
\(640\) | −36.7664 | + | 19.9911i | −1.45332 | + | 0.790219i | ||||
\(641\) | 24.5534i | 0.969802i | 0.874569 | + | 0.484901i | \(0.161144\pi\) | ||||
−0.874569 | + | 0.484901i | \(0.838856\pi\) | |||||||
\(642\) | 47.6913 | − | 19.3606i | 1.88223 | − | 0.764102i | ||||
\(643\) | −9.11132 | + | 15.7813i | −0.359316 | + | 0.622353i | −0.987847 | − | 0.155432i | \(-0.950323\pi\) |
0.628531 | + | 0.777784i | \(0.283656\pi\) | |||||||
\(644\) | 2.97646 | + | 23.0445i | 0.117289 | + | 0.908079i | ||||
\(645\) | −20.8000 | + | 7.83042i | −0.819001 | + | 0.308323i | ||||
\(646\) | 18.0366 | − | 31.2403i | 0.709639 | − | 1.22913i | ||||
\(647\) | −14.3597 | − | 8.29061i | −0.564540 | − | 0.325937i | 0.190426 | − | 0.981702i | \(-0.439013\pi\) |
−0.754966 | + | 0.655764i | \(0.772347\pi\) | |||||||
\(648\) | −0.748707 | + | 26.4734i | −0.0294120 | + | 1.03997i | ||||
\(649\) | −12.6891 | + | 7.32606i | −0.498091 | + | 0.287573i | ||||
\(650\) | −22.6704 | + | 35.0014i | −0.889207 | + | 1.37287i | ||||
\(651\) | 5.82650 | − | 3.29039i | 0.228359 | − | 0.128961i | ||||
\(652\) | −8.26147 | − | 4.76976i | −0.323544 | − | 0.186798i | ||||
\(653\) | −29.9467 | −1.17190 | −0.585952 | − | 0.810346i | \(-0.699279\pi\) | ||||
−0.585952 | + | 0.810346i | \(0.699279\pi\) | |||||||
\(654\) | −52.7403 | − | 41.0646i | −2.06231 | − | 1.60575i | ||||
\(655\) | −21.9110 | − | 13.4090i | −0.856133 | − | 0.523931i | ||||
\(656\) | 0.0591337 | + | 0.102423i | 0.00230878 | + | 0.00399893i | ||||
\(657\) | −4.24862 | − | 16.8027i | −0.165754 | − | 0.655536i | ||||
\(658\) | 27.7960 | − | 3.59018i | 1.08360 | − | 0.139960i | ||||
\(659\) | −26.8528 | + | 15.5035i | −1.04604 | + | 0.603929i | −0.921537 | − | 0.388291i | \(-0.873066\pi\) |
−0.124499 | + | 0.992220i | \(0.539732\pi\) | |||||||
\(660\) | 59.8826 | − | 22.5435i | 2.33093 | − | 0.877505i | ||||
\(661\) | −37.9426 | + | 21.9062i | −1.47580 | + | 0.852051i | −0.999627 | − | 0.0273038i | \(-0.991308\pi\) |
−0.476168 | + | 0.879354i | \(0.657975\pi\) | |||||||
\(662\) | −28.8273 | − | 49.9304i | −1.12041 | − | 1.94060i | ||||
\(663\) | 23.2163 | − | 29.8172i | 0.901645 | − | 1.15801i | ||||
\(664\) | 8.06576 | − | 4.65677i | 0.313012 | − | 0.180718i | ||||
\(665\) | 14.1020 | + | 6.30989i | 0.546854 | + | 0.244687i | ||||
\(666\) | −18.8527 | − | 19.3935i | −0.730529 | − | 0.751481i | ||||
\(667\) | −4.44244 | + | 2.56484i | −0.172012 | + | 0.0993111i | ||||
\(668\) | 81.3531i | 3.14765i | ||||||||
\(669\) | 26.0016 | + | 20.2453i | 1.00528 | + | 0.782729i | ||||
\(670\) | 12.7707 | − | 20.8680i | 0.493375 | − | 0.806203i | ||||
\(671\) | −32.8652 | + | 56.9242i | −1.26875 | + | 2.19754i | ||||
\(672\) | 12.2214 | + | 21.6412i | 0.471452 | + | 0.834828i | ||||
\(673\) | −8.68818 | + | 5.01613i | −0.334905 | + | 0.193357i | −0.658017 | − | 0.753003i | \(-0.728604\pi\) |
0.323112 | + | 0.946361i | \(0.395271\pi\) | |||||||
\(674\) | 69.7819 | − | 40.2886i | 2.68790 | − | 1.55186i | ||||
\(675\) | 25.9363 | − | 1.51995i | 0.998287 | − | 0.0585030i | ||||
\(676\) | −0.284077 | + | 0.492036i | −0.0109260 | + | 0.0189245i | ||||
\(677\) | −23.9146 | − | 13.8071i | −0.919111 | − | 0.530649i | −0.0357596 | − | 0.999360i | \(-0.511385\pi\) |
−0.883351 | + | 0.468712i | \(0.844718\pi\) | |||||||
\(678\) | 30.3476 | + | 23.6292i | 1.16549 | + | 0.907474i | ||||
\(679\) | −2.83845 | − | 21.9760i | −0.108930 | − | 0.843360i | ||||
\(680\) | 18.8946 | + | 34.7497i | 0.724574 | + | 1.33259i | ||||
\(681\) | 8.06507 | + | 19.8668i | 0.309054 | + | 0.761299i | ||||
\(682\) | −16.8980 | −0.647057 | ||||||||
\(683\) | −3.99993 | + | 6.92808i | −0.153053 | + | 0.265096i | −0.932348 | − | 0.361561i | \(-0.882244\pi\) |
0.779295 | + | 0.626657i | \(0.215577\pi\) | |||||||
\(684\) | 24.9166 | − | 6.30024i | 0.952709 | − | 0.240896i | ||||
\(685\) | 10.9176 | + | 6.68131i | 0.417141 | + | 0.255280i | ||||
\(686\) | −42.1525 | − | 5.86488i | −1.60939 | − | 0.223922i | ||||
\(687\) | −0.739377 | − | 1.82132i | −0.0282090 | − | 0.0694877i | ||||
\(688\) | − | 1.15327i | − | 0.0439682i | ||||||
\(689\) | 21.2251 | + | 36.7629i | 0.808611 | + | 1.40056i | ||||
\(690\) | 15.1135 | − | 18.4188i | 0.575361 | − | 0.701190i | ||||
\(691\) | −2.38107 | − | 1.37471i | −0.0905802 | − | 0.0522965i | 0.454026 | − | 0.890989i | \(-0.349987\pi\) |
−0.544606 | + | 0.838692i | \(0.683321\pi\) | |||||||
\(692\) | − | 11.1757i | − | 0.424836i | ||||||
\(693\) | −14.6821 | − | 37.1781i | −0.557726 | − | 1.41228i | ||||
\(694\) | 70.7955 | 2.68736 | ||||||||
\(695\) | 6.48579 | + | 11.9282i | 0.246020 | + | 0.452464i | ||||
\(696\) | 5.99998 | − | 7.70592i | 0.227428 | − | 0.292092i | ||||
\(697\) | −3.06358 | + | 1.76876i | −0.116041 | + | 0.0669966i | ||||
\(698\) | − | 13.7354i | − | 0.519894i | ||||||
\(699\) | −5.38203 | − | 4.19055i | −0.203567 | − | 0.158501i | ||||
\(700\) | −35.7959 | + | 24.5361i | −1.35296 | + | 0.927379i | ||||
\(701\) | 23.6035i | 0.891491i | 0.895160 | + | 0.445745i | \(0.147061\pi\) | ||||
−0.895160 | + | 0.445745i | \(0.852939\pi\) | |||||||
\(702\) | 43.0774 | − | 4.74439i | 1.62585 | − | 0.179065i | ||||
\(703\) | −5.12273 | + | 8.87283i | −0.193207 | + | 0.334645i | ||||
\(704\) | − | 64.7878i | − | 2.44178i | ||||||
\(705\) | −13.8021 | − | 11.3253i | −0.519817 | − | 0.426535i | ||||
\(706\) | −2.26799 | − | 1.30942i | −0.0853569 | − | 0.0492808i | ||||
\(707\) | 16.8225 | + | 7.01643i | 0.632676 | + | 0.263880i | ||||
\(708\) | 2.27364 | − | 16.3748i | 0.0854488 | − | 0.615402i | ||||
\(709\) | −21.7954 | + | 37.7507i | −0.818544 | + | 1.41776i | 0.0882118 | + | 0.996102i | \(0.471885\pi\) |
−0.906755 | + | 0.421657i | \(0.861449\pi\) | |||||||
\(710\) | −31.1356 | − | 57.2625i | −1.16850 | − | 2.14902i | ||||
\(711\) | 0.112456 | + | 0.444746i | 0.00421741 | + | 0.0166793i | ||||
\(712\) | 7.40942 | + | 12.8335i | 0.277680 | + | 0.480955i | ||||
\(713\) | −3.38532 | + | 1.95451i | −0.126781 | + | 0.0731972i | ||||
\(714\) | 55.1199 | − | 31.1278i | 2.06281 | − | 1.16493i | ||||
\(715\) | −19.5236 | − | 35.9066i | −0.730143 | − | 1.34283i | ||||
\(716\) | − | 2.29145i | − | 0.0856355i | ||||||
\(717\) | 5.07643 | + | 0.704864i | 0.189583 | + | 0.0263236i | ||||
\(718\) | − | 11.8533i | − | 0.442362i | ||||||
\(719\) | 20.3284 | + | 35.2098i | 0.758121 | + | 1.31310i | 0.943808 | + | 0.330496i | \(0.107216\pi\) |
−0.185686 | + | 0.982609i | \(0.559451\pi\) | |||||||
\(720\) | −0.400358 | + | 1.28734i | −0.0149205 | + | 0.0479762i | ||||
\(721\) | 38.4686 | + | 16.0447i | 1.43264 | + | 0.597536i | ||||
\(722\) | 13.9951 | + | 24.2402i | 0.520843 | + | 0.902127i | ||||
\(723\) | −7.96069 | − | 19.6097i | −0.296061 | − | 0.729293i | ||||
\(724\) | 50.6373 | − | 29.2355i | 1.88192 | − | 1.08653i | ||||
\(725\) | −8.04135 | − | 5.20838i | −0.298648 | − | 0.193434i | ||||
\(726\) | −7.86139 | + | 56.6178i | −0.291764 | + | 2.10128i | ||||
\(727\) | 19.7944 | + | 34.2849i | 0.734134 | + | 1.27156i | 0.955102 | + | 0.296276i | \(0.0957448\pi\) |
−0.220969 | + | 0.975281i | \(0.570922\pi\) | |||||||
\(728\) | −22.4604 | + | 17.1472i | −0.832436 | + | 0.635518i | ||||
\(729\) | −18.2653 | − | 19.8842i | −0.676491 | − | 0.736451i | ||||
\(730\) | 0.759233 | − | 29.6755i | 0.0281005 | − | 1.09834i | ||||
\(731\) | 34.4958 | 1.27587 | ||||||||
\(732\) | −27.8960 | − | 68.7168i | −1.03107 | − | 2.53984i | ||||
\(733\) | 37.0703 | 1.36922 | 0.684611 | − | 0.728909i | \(-0.259972\pi\) | ||||
0.684611 | + | 0.728909i | \(0.259972\pi\) | |||||||
\(734\) | −9.74793 | + | 16.8839i | −0.359803 | + | 0.623196i | ||||
\(735\) | 15.6851 | + | 22.1129i | 0.578552 | + | 0.815645i | ||||
\(736\) | −7.25960 | − | 12.5740i | −0.267592 | − | 0.463484i | ||||
\(737\) | 11.9891 | + | 20.7658i | 0.441626 | + | 0.764918i | ||||
\(738\) | −3.90341 | − | 1.10529i | −0.143687 | − | 0.0406863i | ||||
\(739\) | 22.0824 | − | 38.2479i | 0.812315 | − | 1.40697i | −0.0989252 | − | 0.995095i | \(-0.531540\pi\) |
0.911240 | − | 0.411876i | \(-0.135126\pi\) | |||||||
\(740\) | −13.7478 | − | 25.2840i | −0.505378 | − | 0.929457i | ||||
\(741\) | −6.17498 | − | 15.2110i | −0.226844 | − | 0.558788i | ||||
\(742\) | 9.10886 | + | 70.5229i | 0.334397 | + | 2.58898i | ||||
\(743\) | 8.00062 | − | 13.8575i | 0.293514 | − | 0.508382i | −0.681124 | − | 0.732168i | \(-0.738508\pi\) |
0.974638 | + | 0.223786i | \(0.0718418\pi\) | |||||||
\(744\) | 4.57223 | − | 5.87223i | 0.167626 | − | 0.215286i | ||||
\(745\) | 18.6252 | − | 30.4345i | 0.682373 | − | 1.11503i | ||||
\(746\) | −30.0312 | − | 17.3385i | −1.09952 | − | 0.634808i | ||||
\(747\) | −2.58689 | + | 9.13580i | −0.0946494 | + | 0.334261i | ||||
\(748\) | −99.3123 | −3.63122 | ||||||||
\(749\) | −4.38283 | − | 33.9329i | −0.160145 | − | 1.23988i | ||||
\(750\) | 43.4778 | + | 9.48104i | 1.58759 | + | 0.346199i | ||||
\(751\) | 33.5736 | 1.22512 | 0.612559 | − | 0.790425i | \(-0.290140\pi\) | ||||
0.612559 | + | 0.790425i | \(0.290140\pi\) | |||||||
\(752\) | 0.802325 | − | 0.463223i | 0.0292578 | − | 0.0168920i | ||||
\(753\) | −30.9777 | + | 12.5756i | −1.12889 | + | 0.458280i | ||||
\(754\) | −13.8403 | − | 7.99069i | −0.504033 | − | 0.291004i | ||||
\(755\) | −27.7351 | − | 16.9731i | −1.00938 | − | 0.617716i | ||||
\(756\) | 43.2753 | + | 12.6999i | 1.57391 | + | 0.461892i | ||||
\(757\) | − | 18.4257i | − | 0.669692i | −0.942273 | − | 0.334846i | \(-0.891316\pi\) | ||
0.942273 | − | 0.334846i | \(-0.108684\pi\) | |||||||
\(758\) | 5.31523 | − | 9.20626i | 0.193058 | − | 0.334386i | ||||
\(759\) | 8.78341 | + | 21.6363i | 0.318818 | + | 0.785349i | ||||
\(760\) | 17.1775 | + | 0.439478i | 0.623094 | + | 0.0159416i | ||||
\(761\) | −27.6777 | −1.00332 | −0.501658 | − | 0.865066i | \(-0.667276\pi\) | ||||
−0.501658 | + | 0.865066i | \(0.667276\pi\) | |||||||
\(762\) | 43.6881 | + | 6.06610i | 1.58265 | + | 0.219752i | ||||
\(763\) | −35.3165 | + | 26.9622i | −1.27854 | + | 0.976096i | ||||
\(764\) | 39.9510i | 1.44538i | ||||||||
\(765\) | −38.5058 | − | 11.9752i | −1.39218 | − | 0.432964i | ||||
\(766\) | −4.66907 | − | 2.69569i | −0.168700 | − | 0.0973991i | ||||
\(767\) | −10.5599 | −0.381295 | ||||||||
\(768\) | 23.6131 | + | 18.3856i | 0.852065 | + | 0.663433i | ||||
\(769\) | 23.5650 | + | 13.6052i | 0.849775 | + | 0.490618i | 0.860575 | − | 0.509324i | \(-0.170105\pi\) |
−0.0108001 | + | 0.999942i | \(0.503438\pi\) | |||||||
\(770\) | −7.03057 | − | 68.1019i | −0.253364 | − | 2.45422i | ||||
\(771\) | 2.44155 | + | 6.01432i | 0.0879303 | + | 0.216600i | ||||
\(772\) | 2.19615 | + | 1.26795i | 0.0790413 | + | 0.0456345i | ||||
\(773\) | −22.1087 | − | 12.7645i | −0.795195 | − | 0.459106i | 0.0465934 | − | 0.998914i | \(-0.485163\pi\) |
−0.841788 | + | 0.539808i | \(0.818497\pi\) | |||||||
\(774\) | 27.5752 | + | 28.3661i | 0.991169 | + | 1.01960i | ||||
\(775\) | −6.12784 | − | 3.96900i | −0.220118 | − | 0.142571i | ||||
\(776\) | −12.3226 | − | 21.3434i | −0.442356 | − | 0.766183i | ||||
\(777\) | −15.6551 | + | 8.84089i | −0.561624 | + | 0.317165i | ||||
\(778\) | 25.5002 | + | 14.7226i | 0.914228 | + | 0.527830i | ||||
\(779\) | 1.53676i | 0.0550603i | ||||||||
\(780\) | 45.4994 | + | 7.50835i | 1.62914 | + | 0.268842i | ||||
\(781\) | 63.8816 | 2.28586 | ||||||||
\(782\) | −32.0258 | + | 18.4901i | −1.14524 | + | 0.661205i | ||||
\(783\) | 1.08999 | + | 9.89675i | 0.0389531 | + | 0.353681i | ||||
\(784\) | −1.36063 | + | 0.357446i | −0.0485939 | + | 0.0127659i | ||||
\(785\) | −0.0610298 | + | 2.38542i | −0.00217825 | + | 0.0851392i | ||||
\(786\) | −6.28858 | + | 45.2903i | −0.224306 | + | 1.61545i | ||||
\(787\) | −15.9343 | − | 27.5990i | −0.567995 | − | 0.983796i | −0.996764 | − | 0.0803823i | \(-0.974386\pi\) |
0.428769 | − | 0.903414i | \(-0.358947\pi\) | |||||||
\(788\) | 0.523354 | + | 0.906476i | 0.0186437 | + | 0.0322919i | ||||
\(789\) | 39.6457 | − | 16.0944i | 1.41142 | − | 0.572977i | ||||
\(790\) | −0.0200959 | + | 0.785473i | −0.000714982 | + | 0.0279459i | ||||
\(791\) | 20.3217 | − | 15.5144i | 0.722555 | − | 0.551630i | ||||
\(792\) | −30.9890 | − | 31.8778i | −1.10115 | − | 1.13273i | ||||
\(793\) | −41.0257 | + | 23.6862i | −1.45686 | + | 0.841121i | ||||
\(794\) | −10.9389 | −0.388209 | ||||||||
\(795\) | 28.7341 | − | 35.0181i | 1.01909 | − | 1.24196i | ||||
\(796\) | − | 28.3750i | − | 1.00573i | ||||||
\(797\) | 8.87275 | + | 5.12268i | 0.314289 | + | 0.181455i | 0.648844 | − | 0.760921i | \(-0.275253\pi\) |
−0.334555 | + | 0.942376i | \(0.608586\pi\) | |||||||
\(798\) | 0.261727 | − | 27.4983i | 0.00926503 | − | 0.973430i | ||||
\(799\) | 13.8556 | + | 23.9985i | 0.490174 | + | 0.849007i | ||||
\(800\) | 14.7419 | − | 22.7605i | 0.521206 | − | 0.804704i | ||||
\(801\) | −14.5360 | − | 4.11602i | −0.513606 | − | 0.145432i | ||||
\(802\) | 46.1520 | + | 26.6459i | 1.62968 | + | 0.940898i | ||||
\(803\) | 25.1961 | + | 14.5470i | 0.889150 | + | 0.513351i | ||||
\(804\) | −26.7974 | − | 3.72083i | −0.945073 | − | 0.131224i | ||||
\(805\) | −9.28555 | − | 12.8303i | −0.327273 | − | 0.452207i | ||||
\(806\) | −10.5469 | − | 6.08924i | −0.371498 | − | 0.214484i | ||||
\(807\) | 4.69406 | − | 33.8066i | 0.165239 | − | 1.19005i | ||||
\(808\) | 20.2726 | 0.713189 | ||||||||
\(809\) | 5.79707 | + | 3.34694i | 0.203814 | + | 0.117672i | 0.598433 | − | 0.801173i | \(-0.295790\pi\) |
−0.394619 | + | 0.918845i | \(0.629123\pi\) | |||||||
\(810\) | −20.9334 | − | 41.2362i | −0.735524 | − | 1.44889i | ||||
\(811\) | − | 3.93422i | − | 0.138149i | −0.997611 | − | 0.0690746i | \(-0.977995\pi\) | ||
0.997611 | − | 0.0690746i | \(-0.0220046\pi\) | |||||||
\(812\) | −10.0922 | − | 13.2193i | −0.354165 | − | 0.463905i | ||||
\(813\) | 20.9168 | − | 26.8640i | 0.733585 | − | 0.942162i | ||||
\(814\) | 45.4028 | 1.59137 | ||||||||
\(815\) | 6.50011 | + | 0.166302i | 0.227689 | + | 0.00582531i | ||||
\(816\) | 1.28553 | − | 1.65103i | 0.0450024 | − | 0.0577977i | ||||
\(817\) | 7.49282 | − | 12.9779i | 0.262141 | − | 0.454041i | ||||
\(818\) | 25.1915i | 0.880799i | ||||||||
\(819\) | 4.23341 | − | 28.4954i | 0.147927 | − | 0.995711i | ||||
\(820\) | −3.68206 | − | 2.25332i | −0.128583 | − | 0.0786895i | ||||
\(821\) | −20.4722 | − | 11.8196i | −0.714485 | − | 0.412508i | 0.0982342 | − | 0.995163i | \(-0.468681\pi\) |
−0.812720 | + | 0.582655i | \(0.802014\pi\) | |||||||
\(822\) | 3.13342 | − | 22.5669i | 0.109291 | − | 0.787111i | ||||
\(823\) | −22.9586 | + | 13.2552i | −0.800287 | + | 0.462046i | −0.843571 | − | 0.537017i | \(-0.819551\pi\) |
0.0432845 | + | 0.999063i | \(0.486218\pi\) | |||||||
\(824\) | 46.3580 | 1.61496 | ||||||||
\(825\) | −28.5186 | + | 32.9970i | −0.992889 | + | 1.14881i | ||||
\(826\) | −16.3258 | − | 6.80928i | −0.568049 | − | 0.236925i | ||||
\(827\) | 19.6354 | 0.682789 | 0.341395 | − | 0.939920i | \(-0.389101\pi\) | ||||
0.341395 | + | 0.939920i | \(0.389101\pi\) | |||||||
\(828\) | −25.3503 | − | 7.17819i | −0.880985 | − | 0.249459i | ||||
\(829\) | −6.83587 | − | 3.94669i | −0.237420 | − | 0.137074i | 0.376571 | − | 0.926388i | \(-0.377103\pi\) |
−0.613990 | + | 0.789314i | \(0.710437\pi\) | |||||||
\(830\) | −8.48902 | + | 13.8715i | −0.294658 | + | 0.481488i | ||||
\(831\) | −4.27417 | − | 10.5286i | −0.148269 | − | 0.365235i | ||||
\(832\) | 23.3465 | − | 40.4373i | 0.809394 | − | 1.40191i | ||||
\(833\) | −10.6916 | − | 40.6981i | −0.370443 | − | 1.41010i | ||||
\(834\) | 14.8475 | − | 19.0691i | 0.514128 | − | 0.660308i | ||||
\(835\) | −26.4883 | − | 48.7155i | −0.916665 | − | 1.68587i | ||||
\(836\) | −21.5716 | + | 37.3630i | −0.746068 | + | 1.29223i | ||||
\(837\) | 0.830619 | + | 7.54173i | 0.0287104 | + | 0.260680i | ||||
\(838\) | 3.21699 | + | 5.57198i | 0.111129 | + | 0.192481i | ||||
\(839\) | −1.57247 | − | 2.72360i | −0.0542876 | − | 0.0940290i | 0.837604 | − | 0.546277i | \(-0.183955\pi\) |
−0.891892 | + | 0.452248i | \(0.850622\pi\) | |||||||
\(840\) | 25.5685 | + | 15.9837i | 0.882196 | + | 0.551491i | ||||
\(841\) | −12.6642 | + | 21.9350i | −0.436696 | + | 0.756380i | ||||
\(842\) | 41.2522 | 1.42164 | ||||||||
\(843\) | 16.7592 | − | 21.5242i | 0.577216 | − | 0.741333i | ||||
\(844\) | 61.7337 | 2.12496 | ||||||||
\(845\) | 0.00990462 | − | 0.387134i | 0.000340729 | − | 0.0133178i | ||||
\(846\) | −8.65827 | + | 30.5773i | −0.297678 | + | 1.05127i | ||||
\(847\) | 35.0688 | + | 14.6267i | 1.20498 | + | 0.502579i | ||||
\(848\) | 1.17527 | + | 2.03563i | 0.0403589 | + | 0.0699037i | ||||
\(849\) | 22.1388 | + | 17.2377i | 0.759801 | + | 0.591595i | ||||
\(850\) | −57.9706 | − | 37.5476i | −1.98838 | − | 1.28787i | ||||
\(851\) | 9.09594 | − | 5.25154i | 0.311805 | − | 0.180021i | ||||
\(852\) | −44.2809 | + | 56.8711i | −1.51704 | + | 1.94837i | ||||
\(853\) | −9.31488 | − | 16.1338i | −0.318935 | − | 0.552412i | 0.661331 | − | 0.750094i | \(-0.269992\pi\) |
−0.980266 | + | 0.197682i | \(0.936659\pi\) | |||||||
\(854\) | −78.7002 | + | 10.1651i | −2.69307 | + | 0.347841i | ||||
\(855\) | −12.8691 | + | 11.8854i | −0.440114 | + | 0.406473i | ||||
\(856\) | −19.0272 | − | 32.9561i | −0.650337 | − | 1.12642i | ||||
\(857\) | 8.20806i | 0.280382i | 0.990124 | + | 0.140191i | \(0.0447716\pi\) | ||||
−0.990124 | + | 0.140191i | \(0.955228\pi\) | |||||||
\(858\) | −44.6943 | + | 57.4020i | −1.52584 | + | 1.95967i | ||||
\(859\) | 49.5583i | 1.69091i | 0.534050 | + | 0.845453i | \(0.320670\pi\) | ||||
−0.534050 | + | 0.845453i | \(0.679330\pi\) | |||||||
\(860\) | 20.1083 | + | 36.9819i | 0.685688 | + | 1.26107i | ||||
\(861\) | −1.37054 | + | 2.32252i | −0.0467080 | + | 0.0791511i | ||||
\(862\) | 41.0500 | − | 23.7002i | 1.39817 | − | 0.807233i | ||||
\(863\) | −5.35093 | − | 9.26808i | −0.182148 | − | 0.315489i | 0.760464 | − | 0.649380i | \(-0.224972\pi\) |
−0.942612 | + | 0.333891i | \(0.891638\pi\) | |||||||
\(864\) | −28.0120 | + | 3.08514i | −0.952989 | + | 0.104959i | ||||
\(865\) | 3.63877 | + | 6.69218i | 0.123722 | + | 0.227541i | ||||
\(866\) | 14.9563 | − | 25.9050i | 0.508234 | − | 0.880288i | ||||
\(867\) | 26.1515 | + | 20.3621i | 0.888152 | + | 0.691531i | ||||
\(868\) | −7.69063 | − | 10.0736i | −0.261037 | − | 0.341921i | ||||
\(869\) | −0.666908 | − | 0.385040i | −0.0226233 | − | 0.0130616i | ||||
\(870\) | −2.77664 | + | 16.8260i | −0.0941369 | + | 0.570454i | ||||
\(871\) | 17.2813i | 0.585554i | ||||||||
\(872\) | −24.7092 | + | 42.7977i | −0.836761 | + | 1.44931i | ||||
\(873\) | 24.1749 | + | 6.84536i | 0.818197 | + | 0.231680i | ||||
\(874\) | 16.0649i | 0.543403i | ||||||||
\(875\) | 13.4462 | − | 26.3476i | 0.454566 | − | 0.890713i | ||||
\(876\) | −30.4158 | + | 12.3475i | −1.02765 | + | 0.417182i | ||||
\(877\) | 24.5339i | 0.828451i | 0.910174 | + | 0.414225i | \(0.135947\pi\) | ||||
−0.910174 | + | 0.414225i | \(0.864053\pi\) | |||||||
\(878\) | −51.7209 | + | 29.8611i | −1.74550 | + | 1.00776i | ||||
\(879\) | 30.3654 | + | 4.21624i | 1.02420 | + | 0.142210i | ||||
\(880\) | −1.08106 | − | 1.98821i | −0.0364425 | − | 0.0670226i | ||||
\(881\) | 32.5316 | 1.09602 | 0.548008 | − | 0.836473i | \(-0.315386\pi\) | ||||
0.548008 | + | 0.836473i | \(0.315386\pi\) | |||||||
\(882\) | 24.9195 | − | 41.3249i | 0.839085 | − | 1.39148i | ||||
\(883\) | 17.6949i | 0.595481i | 0.954647 | + | 0.297741i | \(0.0962330\pi\) | ||||
−0.954647 | + | 0.297741i | \(0.903767\pi\) | |||||||
\(884\) | −61.9858 | − | 35.7875i | −2.08481 | − | 1.20366i | ||||
\(885\) | 3.97008 | + | 10.5458i | 0.133453 | + | 0.354492i | ||||
\(886\) | −14.4286 | − | 24.9911i | −0.484739 | − | 0.839593i | ||||
\(887\) | − | 55.0084i | − | 1.84700i | −0.383596 | − | 0.923501i | \(-0.625315\pi\) | ||
0.383596 | − | 0.923501i | \(-0.374685\pi\) | |||||||
\(888\) | −12.2850 | + | 15.7780i | −0.412258 | + | 0.529474i | ||||
\(889\) | 11.2864 | − | 27.0602i | 0.378535 | − | 0.907570i | ||||
\(890\) | −22.0711 | − | 13.5069i | −0.739824 | − | 0.452754i | ||||
\(891\) | 45.3060 | + | 1.28132i | 1.51781 | + | 0.0429258i | ||||
\(892\) | 31.2078 | − | 54.0535i | 1.04492 | − | 1.80985i | ||||
\(893\) | 12.0382 | 0.402844 | ||||||||
\(894\) | −62.9086 | − | 8.73488i | −2.10398 | − | 0.292138i | ||||
\(895\) | 0.746088 | + | 1.37216i | 0.0249390 | + | 0.0458661i | ||||
\(896\) | 39.3585 | − | 30.0480i | 1.31488 | − | 1.00383i | ||||
\(897\) | −2.31456 | + | 16.6694i | −0.0772808 | + | 0.556577i | ||||
\(898\) | −55.0223 | − | 31.7671i | −1.83612 | − | 1.06008i | ||||
\(899\) | 1.39896 | − | 2.42307i | 0.0466580 | − | 0.0808140i | ||||
\(900\) | −9.60758 | − | 48.2614i | −0.320253 | − | 1.60871i | ||||
\(901\) | −60.8881 | + | 35.1538i | −2.02848 | + | 1.17114i | ||||
\(902\) | 5.89779 | − | 3.40509i | 0.196375 | − | 0.113377i | ||||
\(903\) | 22.8981 | − | 12.9312i | 0.762002 | − | 0.430324i | ||||
\(904\) | 14.2181 | − | 24.6264i | 0.472886 | − | 0.819063i | ||||
\(905\) | −20.8035 | + | 33.9940i | −0.691531 | + | 1.13000i | ||||
\(906\) | −7.96012 | + | 57.3288i | −0.264457 | + | 1.90462i | ||||
\(907\) | 0.523729i | 0.0173901i | 0.999962 | + | 0.00869507i | \(0.00276776\pi\) | ||||
−0.999962 | + | 0.00869507i | \(0.997232\pi\) | |||||||
\(908\) | 35.1700 | − | 20.3054i | 1.16716 | − | 0.673860i | ||||
\(909\) | −14.8193 | + | 14.4061i | −0.491526 | + | 0.477822i | ||||
\(910\) | 20.1526 | − | 45.0393i | 0.668052 | − | 1.49304i | ||||
\(911\) | −3.34141 | + | 1.92916i | −0.110706 | + | 0.0639160i | −0.554331 | − | 0.832297i | \(-0.687026\pi\) |
0.443625 | + | 0.896213i | \(0.353692\pi\) | |||||||
\(912\) | −0.341919 | − | 0.842257i | −0.0113221 | − | 0.0278899i | ||||
\(913\) | −7.96949 | − | 13.8036i | −0.263752 | − | 0.456831i | ||||
\(914\) | −9.23233 | + | 5.33029i | −0.305378 | + | 0.176310i | ||||
\(915\) | 39.0785 | + | 32.0658i | 1.29190 | + | 1.06006i | ||||
\(916\) | −3.22427 | + | 1.86153i | −0.106533 | + | 0.0615067i | ||||
\(917\) | 28.0526 | + | 11.7004i | 0.926379 | + | 0.386380i | ||||
\(918\) | 7.85782 | + | 71.3463i | 0.259347 | + | 2.35478i | ||||
\(919\) | −7.77655 | − | 13.4694i | −0.256525 | − | 0.444314i | 0.708784 | − | 0.705426i | \(-0.249244\pi\) |
−0.965309 | + | 0.261112i | \(0.915911\pi\) | |||||||
\(920\) | −15.0250 | − | 9.19490i | −0.495359 | − | 0.303147i | ||||
\(921\) | −10.2071 | + | 4.14364i | −0.336335 | + | 0.136537i | ||||
\(922\) | 22.2960 | 0.734279 | ||||||||
\(923\) | 39.8717 | + | 23.0199i | 1.31239 | + | 0.757711i | ||||
\(924\) | −65.9229 | + | 37.2286i | −2.16870 | + | 1.22473i | ||||
\(925\) | 16.4648 | + | 10.6642i | 0.541358 | + | 0.350637i | ||||
\(926\) | −30.2677 | + | 17.4751i | −0.994659 | + | 0.574267i | ||||
\(927\) | −33.8878 | + | 32.9430i | −1.11302 | + | 1.08199i | ||||
\(928\) | 8.99996 | + | 5.19613i | 0.295438 | + | 0.170571i | ||||
\(929\) | 15.1225 | − | 26.1930i | 0.496154 | − | 0.859365i | −0.503836 | − | 0.863799i | \(-0.668078\pi\) |
0.999990 | + | 0.00443487i | \(0.00141167\pi\) | |||||||
\(930\) | −2.11591 | + | 12.8221i | −0.0693836 | + | 0.420453i | ||||
\(931\) | −17.6337 | − | 4.81762i | −0.577920 | − | 0.157891i | ||||
\(932\) | −6.45967 | + | 11.1885i | −0.211593 | + | 0.366490i | ||||
\(933\) | −36.8500 | − | 28.6921i | −1.20642 | − | 0.939338i | ||||
\(934\) | − | 2.50251i | − | 0.0818845i | ||||||
\(935\) | 59.4698 | − | 32.3358i | 1.94487 | − | 1.05749i | ||||
\(936\) | −7.85452 | − | 31.0635i | −0.256733 | − | 1.01534i | ||||
\(937\) | −34.6840 | −1.13308 | −0.566539 | − | 0.824035i | \(-0.691718\pi\) | ||||
−0.566539 | + | 0.824035i | \(0.691718\pi\) | |||||||
\(938\) | −11.1434 | + | 26.7173i | −0.363846 | + | 0.872352i | ||||
\(939\) | −2.37638 | + | 17.1147i | −0.0775502 | + | 0.558516i | ||||
\(940\) | −17.6514 | + | 28.8433i | −0.575724 | + | 0.940766i | ||||
\(941\) | −21.3900 | − | 37.0486i | −0.697295 | − | 1.20775i | −0.969401 | − | 0.245482i | \(-0.921054\pi\) |
0.272106 | − | 0.962267i | \(-0.412280\pi\) | |||||||
\(942\) | 3.93547 | − | 1.59763i | 0.128225 | − | 0.0520536i | ||||
\(943\) | 0.787704 | − | 1.36434i | 0.0256512 | − | 0.0444291i | ||||
\(944\) | −0.584718 | −0.0190310 | ||||||||
\(945\) | −30.0490 | + | 6.48536i | −0.977493 | + | 0.210969i | ||||
\(946\) | −66.4089 | −2.15914 | ||||||||
\(947\) | 4.04053 | − | 6.99840i | 0.131300 | − | 0.227418i | −0.792878 | − | 0.609380i | \(-0.791418\pi\) |
0.924178 | + | 0.381963i | \(0.124752\pi\) | |||||||
\(948\) | 0.805066 | − | 0.326822i | 0.0261473 | − | 0.0106147i | ||||
\(949\) | 10.4841 | + | 18.1590i | 0.340328 | + | 0.589465i | ||||
\(950\) | −26.7178 | + | 13.6539i | −0.866840 | + | 0.442990i | ||||
\(951\) | 6.79233 | − | 48.9184i | 0.220256 | − | 1.58629i | ||||
\(952\) | −28.3998 | − | 37.1996i | −0.920443 | − | 1.20565i | ||||
\(953\) | 44.3390 | 1.43628 | 0.718141 | − | 0.695897i | \(-0.244993\pi\) | ||||
0.718141 | + | 0.695897i | \(0.244993\pi\) | |||||||
\(954\) | −77.5796 | − | 21.9674i | −2.51173 | − | 0.711221i | ||||
\(955\) | −13.0079 | − | 23.9233i | −0.420926 | − | 0.774140i | ||||
\(956\) | − | 9.70718i | − | 0.313953i | ||||||
\(957\) | −13.1877 | − | 10.2682i | −0.426299 | − | 0.331924i | ||||
\(958\) | 28.1381 | − | 48.7367i | 0.909102 | − | 1.57461i | ||||
\(959\) | −13.9778 | − | 5.82996i | −0.451368 | − | 0.188259i | ||||
\(960\) | −49.1607 | − | 8.11254i | −1.58665 | − | 0.261831i | ||||
\(961\) | −14.4339 | + | 25.0003i | −0.465611 | + | 0.806461i | ||||
\(962\) | 28.3381 | + | 16.3610i | 0.913659 | + | 0.527501i | ||||
\(963\) | 37.3282 | + | 10.5699i | 1.20289 | + | 0.340609i | ||||
\(964\) | −34.7149 | + | 20.0426i | −1.11809 | + | 0.645530i | ||||
\(965\) | −1.72793 | − | 0.0442083i | −0.0556241 | − | 0.00142312i | ||||
\(966\) | −14.3273 | + | 24.2789i | −0.460972 | + | 0.781162i | ||||
\(967\) | −10.7988 | − | 6.23472i | −0.347267 | − | 0.200495i | 0.316214 | − | 0.948688i | \(-0.397588\pi\) |
−0.663481 | + | 0.748193i | \(0.730922\pi\) | |||||||
\(968\) | 42.2610 | 1.35832 | ||||||||
\(969\) | 25.1929 | − | 10.2272i | 0.809313 | − | 0.328546i | ||||
\(970\) | 36.7065 | + | 22.4634i | 1.17857 | + | 0.721257i | ||||
\(971\) | −0.187323 | − | 0.324453i | −0.00601148 | − | 0.0104122i | 0.863004 | − | 0.505197i | \(-0.168580\pi\) |
−0.869015 | + | 0.494785i | \(0.835247\pi\) | |||||||
\(972\) | −32.5456 | + | 39.4459i | −1.04390 | + | 1.26523i | ||||
\(973\) | −9.74858 | − | 12.7692i | −0.312525 | − | 0.409363i | ||||
\(974\) | −45.0290 | + | 25.9975i | −1.44282 | + | 0.833014i | ||||
\(975\) | −29.6904 | + | 10.3183i | −0.950855 | + | 0.330451i | ||||
\(976\) | −2.27166 | + | 1.31154i | −0.0727141 | + | 0.0419815i | ||||
\(977\) | −28.0767 | − | 48.6302i | −0.898252 | − | 1.55582i | −0.829727 | − | 0.558169i | \(-0.811504\pi\) |
−0.0685254 | − | 0.997649i | \(-0.521829\pi\) | |||||||
\(978\) | −4.35344 | − | 10.7239i | −0.139208 | − | 0.342913i | ||||
\(979\) | 21.9629 | − | 12.6803i | 0.701939 | − | 0.405265i | ||||
\(980\) | 37.3988 | − | 35.1859i | 1.19466 | − | 1.12397i | ||||
\(981\) | −12.3504 | − | 48.8441i | −0.394318 | − | 1.55947i | ||||
\(982\) | −23.0244 | + | 13.2931i | −0.734738 | + | 0.424201i | ||||
\(983\) | 12.2025i | 0.389200i | 0.980883 | + | 0.194600i | \(0.0623408\pi\) | ||||
−0.980883 | + | 0.194600i | \(0.937659\pi\) | |||||||
\(984\) | −0.412509 | + | 2.97089i | −0.0131503 | + | 0.0947085i | ||||
\(985\) | −0.608538 | − | 0.372410i | −0.0193896 | − | 0.0118660i | ||||
\(986\) | 13.2345 | − | 22.9228i | 0.421471 | − | 0.730010i | ||||
\(987\) | 18.1934 | + | 10.7361i | 0.579102 | + | 0.341735i | ||||
\(988\) | −26.9278 | + | 15.5468i | −0.856687 | + | 0.494608i | ||||
\(989\) | −13.3043 | + | 7.68123i | −0.423052 | + | 0.244249i | ||||
\(990\) | 74.1286 | + | 23.0538i | 2.35596 | + | 0.732698i | ||||
\(991\) | −8.67105 | + | 15.0187i | −0.275445 | + | 0.477085i | −0.970247 | − | 0.242116i | \(-0.922158\pi\) |
0.694802 | + | 0.719201i | \(0.255492\pi\) | |||||||
\(992\) | 6.85834 | + | 3.95966i | 0.217752 | + | 0.125719i | ||||
\(993\) | 5.97661 | − | 43.0436i | 0.189662 | − | 1.36595i | ||||
\(994\) | 46.7989 | + | 61.2997i | 1.48437 | + | 1.94431i | ||||
\(995\) | 9.23880 | + | 16.9914i | 0.292890 | + | 0.538663i | ||||
\(996\) | 17.8129 | + | 2.47333i | 0.564425 | + | 0.0783706i | ||||
\(997\) | 12.0607 | 0.381967 | 0.190984 | − | 0.981593i | \(-0.438832\pi\) | ||||
0.190984 | + | 0.981593i | \(0.438832\pi\) | |||||||
\(998\) | −17.8676 | + | 30.9475i | −0.565588 | + | 0.979627i | ||||
\(999\) | −2.23177 | − | 20.2637i | −0.0706101 | − | 0.641115i |
(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 | 315.2.u.a.59.40 | yes | 88 | |
3.2 | odd | 2 | 945.2.u.a.584.5 | 88 | |||
5.4 | even | 2 | inner | 315.2.u.a.59.5 | ✓ | 88 | |
7.5 | odd | 6 | 315.2.bq.a.194.5 | yes | 88 | ||
9.2 | odd | 6 | 315.2.bq.a.164.40 | yes | 88 | ||
9.7 | even | 3 | 945.2.bq.a.899.5 | 88 | |||
15.14 | odd | 2 | 945.2.u.a.584.40 | 88 | |||
21.5 | even | 6 | 945.2.bq.a.719.40 | 88 | |||
35.19 | odd | 6 | 315.2.bq.a.194.40 | yes | 88 | ||
45.29 | odd | 6 | 315.2.bq.a.164.5 | yes | 88 | ||
45.34 | even | 6 | 945.2.bq.a.899.40 | 88 | |||
63.47 | even | 6 | inner | 315.2.u.a.299.5 | yes | 88 | |
63.61 | odd | 6 | 945.2.u.a.89.40 | 88 | |||
105.89 | even | 6 | 945.2.bq.a.719.5 | 88 | |||
315.124 | odd | 6 | 945.2.u.a.89.5 | 88 | |||
315.299 | even | 6 | inner | 315.2.u.a.299.40 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.5 | ✓ | 88 | 5.4 | even | 2 | inner | |
315.2.u.a.59.40 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.u.a.299.5 | yes | 88 | 63.47 | even | 6 | inner | |
315.2.u.a.299.40 | yes | 88 | 315.299 | even | 6 | inner | |
315.2.bq.a.164.5 | yes | 88 | 45.29 | odd | 6 | ||
315.2.bq.a.164.40 | yes | 88 | 9.2 | odd | 6 | ||
315.2.bq.a.194.5 | yes | 88 | 7.5 | odd | 6 | ||
315.2.bq.a.194.40 | yes | 88 | 35.19 | odd | 6 | ||
945.2.u.a.89.5 | 88 | 315.124 | odd | 6 | |||
945.2.u.a.89.40 | 88 | 63.61 | odd | 6 | |||
945.2.u.a.584.5 | 88 | 3.2 | odd | 2 | |||
945.2.u.a.584.40 | 88 | 15.14 | odd | 2 | |||
945.2.bq.a.719.5 | 88 | 105.89 | even | 6 | |||
945.2.bq.a.719.40 | 88 | 21.5 | even | 6 | |||
945.2.bq.a.899.5 | 88 | 9.7 | even | 3 | |||
945.2.bq.a.899.40 | 88 | 45.34 | even | 6 |